Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(5,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bb (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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 31.7 | ||
Character | \(\chi\) | \(=\) | 91.31 |
Dual form | 91.2.bb.a.47.7 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.53492 | + | 0.411280i | 1.08535 | + | 0.290819i | 0.756786 | − | 0.653663i | \(-0.226768\pi\) |
0.328565 | + | 0.944482i | \(0.393435\pi\) | |||||||
\(3\) | 0.436133 | + | 0.251802i | 0.251802 | + | 0.145378i | 0.620589 | − | 0.784136i | \(-0.286894\pi\) |
−0.368787 | + | 0.929514i | \(0.620227\pi\) | |||||||
\(4\) | 0.454770 | + | 0.262561i | 0.227385 | + | 0.131281i | ||||
\(5\) | −0.0206096 | + | 0.0769162i | −0.00921691 | + | 0.0343980i | −0.970381 | − | 0.241579i | \(-0.922335\pi\) |
0.961164 | + | 0.275977i | \(0.0890014\pi\) | |||||||
\(6\) | 0.565867 | + | 0.565867i | 0.231014 | + | 0.231014i | ||||
\(7\) | −2.16435 | + | 1.52171i | −0.818046 | + | 0.575153i | ||||
\(8\) | −1.65723 | − | 1.65723i | −0.585918 | − | 0.585918i | ||||
\(9\) | −1.37319 | − | 2.37844i | −0.457731 | − | 0.792813i | ||||
\(10\) | −0.0632682 | + | 0.109584i | −0.0200072 | + | 0.0346534i | ||||
\(11\) | 4.08225 | − | 1.09384i | 1.23084 | − | 0.329804i | 0.415936 | − | 0.909394i | \(-0.363454\pi\) |
0.814908 | + | 0.579590i | \(0.196787\pi\) | |||||||
\(12\) | 0.132227 | + | 0.229023i | 0.0381706 | + | 0.0661134i | ||||
\(13\) | −0.565867 | + | 3.56087i | −0.156943 | + | 0.987608i | ||||
\(14\) | −3.94794 | + | 1.44555i | −1.05513 | + | 0.386339i | ||||
\(15\) | −0.0283562 | + | 0.0283562i | −0.00732153 | + | 0.00732153i | ||||
\(16\) | −2.38725 | − | 4.13483i | −0.596811 | − | 1.03371i | ||||
\(17\) | −2.90357 | + | 5.02912i | −0.704218 | + | 1.21974i | 0.262755 | + | 0.964863i | \(0.415369\pi\) |
−0.966973 | + | 0.254879i | \(0.917964\pi\) | |||||||
\(18\) | −1.12953 | − | 4.21547i | −0.266233 | − | 0.993596i | ||||
\(19\) | 1.36980 | − | 5.11216i | 0.314254 | − | 1.17281i | −0.610429 | − | 0.792071i | \(-0.709003\pi\) |
0.924682 | − | 0.380740i | \(-0.124331\pi\) | |||||||
\(20\) | −0.0295679 | + | 0.0295679i | −0.00661158 | + | 0.00661158i | ||||
\(21\) | −1.32711 | + | 0.118683i | −0.289600 | + | 0.0258987i | ||||
\(22\) | 6.71579 | 1.43181 | ||||||||
\(23\) | −0.755405 | + | 0.436133i | −0.157513 | + | 0.0909400i | −0.576685 | − | 0.816967i | \(-0.695654\pi\) |
0.419172 | + | 0.907907i | \(0.362320\pi\) | |||||||
\(24\) | −0.305479 | − | 1.14006i | −0.0623557 | − | 0.232715i | ||||
\(25\) | 4.32464 | + | 2.49683i | 0.864927 | + | 0.499366i | ||||
\(26\) | −2.33307 | + | 5.23291i | −0.457553 | + | 1.02626i | ||||
\(27\) | − | 2.89390i | − | 0.556931i | ||||||
\(28\) | −1.38382 | + | 0.123754i | −0.261518 | + | 0.0233873i | ||||
\(29\) | 0.362759 | 0.0673627 | 0.0336814 | − | 0.999433i | \(-0.489277\pi\) | ||||
0.0336814 | + | 0.999433i | \(0.489277\pi\) | |||||||
\(30\) | −0.0551867 | + | 0.0318621i | −0.0100757 | + | 0.00581719i | ||||
\(31\) | −1.34748 | + | 0.361057i | −0.242015 | + | 0.0648477i | −0.377787 | − | 0.925892i | \(-0.623315\pi\) |
0.135773 | + | 0.990740i | \(0.456648\pi\) | |||||||
\(32\) | −0.750478 | − | 2.80082i | −0.132667 | − | 0.495120i | ||||
\(33\) | 2.05583 | + | 0.550859i | 0.357875 | + | 0.0958922i | ||||
\(34\) | −6.52511 | + | 6.52511i | −1.11905 | + | 1.11905i | ||||
\(35\) | −0.0724379 | − | 0.197835i | −0.0122442 | − | 0.0334403i | ||||
\(36\) | − | 1.44219i | − | 0.240365i | ||||||
\(37\) | 1.00978 | − | 3.76857i | 0.166008 | − | 0.619549i | −0.831902 | − | 0.554923i | \(-0.812748\pi\) |
0.997910 | − | 0.0646262i | \(-0.0205855\pi\) | |||||||
\(38\) | 4.20506 | − | 7.28338i | 0.682151 | − | 1.18152i | ||||
\(39\) | −1.14343 | + | 1.41053i | −0.183095 | + | 0.225865i | ||||
\(40\) | 0.161623 | − | 0.0933128i | 0.0255548 | − | 0.0147541i | ||||
\(41\) | 7.70995 | + | 7.70995i | 1.20409 | + | 1.20409i | 0.972911 | + | 0.231182i | \(0.0742592\pi\) |
0.231182 | + | 0.972911i | \(0.425741\pi\) | |||||||
\(42\) | −2.08582 | − | 0.363646i | −0.321849 | − | 0.0561119i | ||||
\(43\) | 2.65570i | 0.404990i | 0.979283 | + | 0.202495i | \(0.0649050\pi\) | ||||
−0.979283 | + | 0.202495i | \(0.935095\pi\) | |||||||
\(44\) | 2.14368 | + | 0.574398i | 0.323172 | + | 0.0865938i | ||||
\(45\) | 0.211242 | − | 0.0566020i | 0.0314900 | − | 0.00843773i | ||||
\(46\) | −1.33886 | + | 0.358745i | −0.197404 | + | 0.0528941i | ||||
\(47\) | −2.79467 | − | 0.748829i | −0.407644 | − | 0.109228i | 0.0491692 | − | 0.998790i | \(-0.484343\pi\) |
−0.456813 | + | 0.889563i | \(0.651009\pi\) | |||||||
\(48\) | − | 2.40445i | − | 0.347052i | ||||||
\(49\) | 2.36879 | − | 6.58702i | 0.338399 | − | 0.941003i | ||||
\(50\) | 5.61106 | + | 5.61106i | 0.793524 | + | 0.793524i | ||||
\(51\) | −2.53268 | + | 1.46224i | −0.354646 | + | 0.204755i | ||||
\(52\) | −1.19229 | + | 1.47080i | −0.165340 | + | 0.203963i | ||||
\(53\) | −5.26830 | + | 9.12497i | −0.723657 | + | 1.25341i | 0.235868 | + | 0.971785i | \(0.424207\pi\) |
−0.959524 | + | 0.281625i | \(0.909127\pi\) | |||||||
\(54\) | 1.19020 | − | 4.44189i | 0.161966 | − | 0.604465i | ||||
\(55\) | 0.336535i | 0.0453784i | ||||||||
\(56\) | 6.10864 | + | 1.06499i | 0.816301 | + | 0.142316i | ||||
\(57\) | 1.88467 | − | 1.88467i | 0.249630 | − | 0.249630i | ||||
\(58\) | 0.556806 | + | 0.149196i | 0.0731122 | + | 0.0195903i | ||||
\(59\) | −0.573890 | − | 2.14179i | −0.0747142 | − | 0.278837i | 0.918454 | − | 0.395527i | \(-0.129438\pi\) |
−0.993168 | + | 0.116690i | \(0.962772\pi\) | |||||||
\(60\) | −0.0203408 | + | 0.00545029i | −0.00262598 | + | 0.000703630i | ||||
\(61\) | 3.63628 | − | 2.09941i | 0.465578 | − | 0.268802i | −0.248809 | − | 0.968553i | \(-0.580039\pi\) |
0.714387 | + | 0.699751i | \(0.246706\pi\) | |||||||
\(62\) | −2.21677 | −0.281530 | ||||||||
\(63\) | 6.59136 | + | 3.05816i | 0.830433 | + | 0.385292i | ||||
\(64\) | 4.94130i | 0.617662i | ||||||||
\(65\) | −0.262226 | − | 0.116913i | −0.0325252 | − | 0.0145012i | ||||
\(66\) | 2.92898 | + | 1.69105i | 0.360532 | + | 0.208153i | ||||
\(67\) | −2.61773 | − | 9.76951i | −0.319807 | − | 1.19354i | −0.919430 | − | 0.393253i | \(-0.871350\pi\) |
0.599623 | − | 0.800282i | \(-0.295317\pi\) | |||||||
\(68\) | −2.64091 | + | 1.52473i | −0.320257 | + | 0.184901i | ||||
\(69\) | −0.439276 | −0.0528826 | ||||||||
\(70\) | −0.0298205 | − | 0.333453i | −0.00356423 | − | 0.0398553i | ||||
\(71\) | 3.65698 | − | 3.65698i | 0.434004 | − | 0.434004i | −0.455984 | − | 0.889988i | \(-0.650713\pi\) |
0.889988 | + | 0.455984i | \(0.150713\pi\) | |||||||
\(72\) | −1.66592 | + | 6.21730i | −0.196331 | + | 0.732716i | ||||
\(73\) | −3.08002 | − | 11.4948i | −0.360489 | − | 1.34536i | −0.873434 | − | 0.486942i | \(-0.838112\pi\) |
0.512945 | − | 0.858421i | \(-0.328554\pi\) | |||||||
\(74\) | 3.09987 | − | 5.36914i | 0.360353 | − | 0.624150i | ||||
\(75\) | 1.25741 | + | 2.17790i | 0.145193 | + | 0.251482i | ||||
\(76\) | 1.96520 | − | 1.96520i | 0.225424 | − | 0.225424i | ||||
\(77\) | −7.17090 | + | 8.57944i | −0.817200 | + | 0.977718i | ||||
\(78\) | −2.33519 | + | 1.69477i | −0.264408 | + | 0.191895i | ||||
\(79\) | −4.27671 | − | 7.40747i | −0.481167 | − | 0.833406i | 0.518599 | − | 0.855017i | \(-0.326454\pi\) |
−0.999766 | + | 0.0216116i | \(0.993120\pi\) | |||||||
\(80\) | 0.367236 | − | 0.0984006i | 0.0410582 | − | 0.0110015i | ||||
\(81\) | −3.39089 | + | 5.87319i | −0.376765 | + | 0.652577i | ||||
\(82\) | 8.66319 | + | 15.0051i | 0.956690 | + | 1.65703i | ||||
\(83\) | −4.91372 | − | 4.91372i | −0.539351 | − | 0.539351i | 0.383987 | − | 0.923338i | \(-0.374551\pi\) |
−0.923338 | + | 0.383987i | \(0.874551\pi\) | |||||||
\(84\) | −0.634692 | − | 0.294475i | −0.0692506 | − | 0.0321299i | ||||
\(85\) | −0.326980 | − | 0.326980i | −0.0354659 | − | 0.0354659i | ||||
\(86\) | −1.09224 | + | 4.07628i | −0.117779 | + | 0.439557i | ||||
\(87\) | 0.158211 | + | 0.0913434i | 0.0169620 | + | 0.00979304i | ||||
\(88\) | −8.57795 | − | 4.95248i | −0.914413 | − | 0.527936i | ||||
\(89\) | −7.78209 | − | 2.08520i | −0.824899 | − | 0.221031i | −0.178412 | − | 0.983956i | \(-0.557096\pi\) |
−0.646487 | + | 0.762925i | \(0.723763\pi\) | |||||||
\(90\) | 0.347518 | 0.0366316 | ||||||||
\(91\) | −4.19388 | − | 8.56804i | −0.439638 | − | 0.898175i | ||||
\(92\) | −0.458047 | −0.0477547 | ||||||||
\(93\) | −0.678596 | − | 0.181829i | −0.0703671 | − | 0.0188548i | ||||
\(94\) | −3.98161 | − | 2.29878i | −0.410671 | − | 0.237101i | ||||
\(95\) | 0.364977 | + | 0.210720i | 0.0374459 | + | 0.0216194i | ||||
\(96\) | 0.377943 | − | 1.41050i | 0.0385736 | − | 0.143959i | ||||
\(97\) | −6.04128 | − | 6.04128i | −0.613399 | − | 0.613399i | 0.330431 | − | 0.943830i | \(-0.392806\pi\) |
−0.943830 | + | 0.330431i | \(0.892806\pi\) | |||||||
\(98\) | 6.34501 | − | 9.13630i | 0.640943 | − | 0.922905i | ||||
\(99\) | −8.20733 | − | 8.20733i | −0.824868 | − | 0.824868i | ||||
\(100\) | 1.31114 | + | 2.27096i | 0.131114 | + | 0.227096i | ||||
\(101\) | −5.60987 | + | 9.71658i | −0.558203 | + | 0.966836i | 0.439444 | + | 0.898270i | \(0.355176\pi\) |
−0.997647 | + | 0.0685657i | \(0.978158\pi\) | |||||||
\(102\) | −4.48885 | + | 1.20278i | −0.444462 | + | 0.119093i | ||||
\(103\) | −4.82752 | − | 8.36150i | −0.475669 | − | 0.823883i | 0.523942 | − | 0.851754i | \(-0.324461\pi\) |
−0.999612 | + | 0.0278704i | \(0.991127\pi\) | |||||||
\(104\) | 6.83894 | − | 4.96340i | 0.670613 | − | 0.486701i | ||||
\(105\) | 0.0182227 | − | 0.104522i | 0.00177835 | − | 0.0102003i | ||||
\(106\) | −11.8393 | + | 11.8393i | −1.14994 | + | 1.14994i | ||||
\(107\) | 8.81408 | + | 15.2664i | 0.852089 | + | 1.47586i | 0.879319 | + | 0.476232i | \(0.157998\pi\) |
−0.0272305 | + | 0.999629i | \(0.508669\pi\) | |||||||
\(108\) | 0.759825 | − | 1.31606i | 0.0731142 | − | 0.126638i | ||||
\(109\) | 3.53114 | + | 13.1784i | 0.338222 | + | 1.26226i | 0.900334 | + | 0.435199i | \(0.143322\pi\) |
−0.562113 | + | 0.827061i | \(0.690011\pi\) | |||||||
\(110\) | −0.138410 | + | 0.516553i | −0.0131969 | + | 0.0492514i | ||||
\(111\) | 1.38933 | − | 1.38933i | 0.131870 | − | 0.131870i | ||||
\(112\) | 11.4588 | + | 5.31651i | 1.08276 | + | 0.502363i | ||||
\(113\) | −6.02917 | −0.567176 | −0.283588 | − | 0.958946i | \(-0.591525\pi\) | ||||
−0.283588 | + | 0.958946i | \(0.591525\pi\) | |||||||
\(114\) | 3.66793 | − | 2.11768i | 0.343533 | − | 0.198339i | ||||
\(115\) | −0.0179771 | − | 0.0670914i | −0.00167637 | − | 0.00625631i | ||||
\(116\) | 0.164972 | + | 0.0952466i | 0.0153173 | + | 0.00884343i | ||||
\(117\) | 9.24635 | − | 3.54388i | 0.854826 | − | 0.327632i | ||||
\(118\) | − | 3.52350i | − | 0.324364i | ||||||
\(119\) | −1.36855 | − | 15.3032i | −0.125455 | − | 1.40284i | ||||
\(120\) | 0.0939853 | 0.00857964 | ||||||||
\(121\) | 5.94201 | − | 3.43062i | 0.540183 | − | 0.311875i | ||||
\(122\) | 6.44484 | − | 1.72689i | 0.583488 | − | 0.156345i | ||||
\(123\) | 1.42119 | + | 5.30394i | 0.128144 | + | 0.478240i | ||||
\(124\) | −0.707593 | − | 0.189599i | −0.0635438 | − | 0.0170265i | ||||
\(125\) | −0.562709 | + | 0.562709i | −0.0503302 | + | 0.0503302i | ||||
\(126\) | 8.85943 | + | 7.40492i | 0.789261 | + | 0.659683i | ||||
\(127\) | − | 0.259825i | − | 0.0230558i | −0.999934 | − | 0.0115279i | \(-0.996330\pi\) | ||
0.999934 | − | 0.0115279i | \(-0.00366952\pi\) | |||||||
\(128\) | −3.53321 | + | 13.1861i | −0.312295 | + | 1.16550i | ||||
\(129\) | −0.668709 | + | 1.15824i | −0.0588766 | + | 0.101977i | ||||
\(130\) | −0.354412 | − | 0.287300i | −0.0310840 | − | 0.0251979i | ||||
\(131\) | 0.679285 | − | 0.392185i | 0.0593494 | − | 0.0342654i | −0.470032 | − | 0.882650i | \(-0.655758\pi\) |
0.529381 | + | 0.848384i | \(0.322424\pi\) | |||||||
\(132\) | 0.790296 | + | 0.790296i | 0.0687865 | + | 0.0687865i | ||||
\(133\) | 4.81451 | + | 13.1489i | 0.417471 | + | 1.14016i | ||||
\(134\) | − | 16.0720i | − | 1.38841i | ||||||
\(135\) | 0.222588 | + | 0.0596422i | 0.0191573 | + | 0.00513318i | ||||
\(136\) | 13.1463 | − | 3.52253i | 1.12728 | − | 0.302055i | ||||
\(137\) | 13.3251 | − | 3.57044i | 1.13844 | − | 0.305044i | 0.360115 | − | 0.932908i | \(-0.382737\pi\) |
0.778323 | + | 0.627864i | \(0.216071\pi\) | |||||||
\(138\) | −0.674252 | − | 0.180665i | −0.0573962 | − | 0.0153793i | ||||
\(139\) | 3.12982i | 0.265468i | 0.991152 | + | 0.132734i | \(0.0423755\pi\) | ||||
−0.991152 | + | 0.132734i | \(0.957624\pi\) | |||||||
\(140\) | 0.0190014 | − | 0.108989i | 0.00160591 | − | 0.00921124i | ||||
\(141\) | −1.03029 | − | 1.03029i | −0.0867661 | − | 0.0867661i | ||||
\(142\) | 7.11720 | − | 4.10912i | 0.597262 | − | 0.344830i | ||||
\(143\) | 1.58499 | + | 15.1553i | 0.132544 | + | 1.26735i | ||||
\(144\) | −6.55629 | + | 11.3558i | −0.546358 | + | 0.946319i | ||||
\(145\) | −0.00747634 | + | 0.0279021i | −0.000620876 | + | 0.00231714i | ||||
\(146\) | − | 18.9103i | − | 1.56503i | ||||||
\(147\) | 2.69173 | − | 2.27635i | 0.222010 | − | 0.187750i | ||||
\(148\) | 1.44870 | − | 1.44870i | 0.119082 | − | 0.119082i | ||||
\(149\) | −3.27187 | − | 0.876694i | −0.268042 | − | 0.0718216i | 0.122295 | − | 0.992494i | \(-0.460975\pi\) |
−0.390337 | + | 0.920672i | \(0.627641\pi\) | |||||||
\(150\) | 1.03430 | + | 3.86004i | 0.0844499 | + | 0.315171i | ||||
\(151\) | 15.7142 | − | 4.21062i | 1.27881 | − | 0.342655i | 0.445408 | − | 0.895328i | \(-0.353059\pi\) |
0.833398 | + | 0.552673i | \(0.186392\pi\) | |||||||
\(152\) | −10.7421 | + | 6.20195i | −0.871299 | + | 0.503044i | ||||
\(153\) | 15.9486 | 1.28937 | ||||||||
\(154\) | −14.5353 | + | 10.2195i | −1.17129 | + | 0.823510i | ||||
\(155\) | − | 0.111084i | − | 0.00892252i | ||||||
\(156\) | −0.890345 | + | 0.341245i | −0.0712847 | + | 0.0273215i | ||||
\(157\) | 16.6451 | + | 9.61006i | 1.32842 | + | 0.766966i | 0.985056 | − | 0.172235i | \(-0.0550988\pi\) |
0.343368 | + | 0.939201i | \(0.388432\pi\) | |||||||
\(158\) | −3.51785 | − | 13.1288i | −0.279865 | − | 1.04447i | ||||
\(159\) | −4.59536 | + | 2.65313i | −0.364436 | + | 0.210407i | ||||
\(160\) | 0.230896 | 0.0182539 | ||||||||
\(161\) | 0.971289 | − | 2.09345i | 0.0765483 | − | 0.164987i | ||||
\(162\) | −7.62026 | + | 7.62026i | −0.598704 | + | 0.598704i | ||||
\(163\) | 0.321549 | − | 1.20004i | 0.0251857 | − | 0.0939942i | −0.952189 | − | 0.305510i | \(-0.901173\pi\) |
0.977375 | + | 0.211515i | \(0.0678399\pi\) | |||||||
\(164\) | 1.48192 | + | 5.53059i | 0.115718 | + | 0.431866i | ||||
\(165\) | −0.0847400 | + | 0.146774i | −0.00659700 | + | 0.0114263i | ||||
\(166\) | −5.52124 | − | 9.56307i | −0.428532 | − | 0.742239i | ||||
\(167\) | 7.31443 | − | 7.31443i | 0.566007 | − | 0.566007i | −0.365000 | − | 0.931007i | \(-0.618931\pi\) |
0.931007 | + | 0.365000i | \(0.118931\pi\) | |||||||
\(168\) | 2.39601 | + | 2.00264i | 0.184856 | + | 0.154507i | ||||
\(169\) | −12.3596 | − | 4.02996i | −0.950738 | − | 0.309997i | ||||
\(170\) | −0.367407 | − | 0.636367i | −0.0281788 | − | 0.0488071i | ||||
\(171\) | −14.0400 | + | 3.76200i | −1.07366 | + | 0.287687i | ||||
\(172\) | −0.697284 | + | 1.20773i | −0.0531674 | + | 0.0920887i | ||||
\(173\) | −1.58153 | − | 2.73929i | −0.120241 | − | 0.208264i | 0.799621 | − | 0.600504i | \(-0.205034\pi\) |
−0.919863 | + | 0.392240i | \(0.871700\pi\) | |||||||
\(174\) | 0.205274 | + | 0.205274i | 0.0155618 | + | 0.0155618i | ||||
\(175\) | −13.1595 | + | 1.17684i | −0.994762 | + | 0.0889608i | ||||
\(176\) | −14.2682 | − | 14.2682i | −1.07550 | − | 1.07550i | ||||
\(177\) | 0.289013 | − | 1.07861i | 0.0217235 | − | 0.0810734i | ||||
\(178\) | −11.0873 | − | 6.40123i | −0.831025 | − | 0.479793i | ||||
\(179\) | 5.02551 | + | 2.90148i | 0.375624 | + | 0.216867i | 0.675913 | − | 0.736982i | \(-0.263750\pi\) |
−0.300289 | + | 0.953848i | \(0.597083\pi\) | |||||||
\(180\) | 0.110928 | + | 0.0297230i | 0.00826807 | + | 0.00221542i | ||||
\(181\) | −13.7005 | −1.01835 | −0.509176 | − | 0.860662i | \(-0.670050\pi\) | ||||
−0.509176 | + | 0.860662i | \(0.670050\pi\) | |||||||
\(182\) | −2.91340 | − | 14.8761i | −0.215955 | − | 1.10269i | ||||
\(183\) | 2.11454 | 0.156311 | ||||||||
\(184\) | 1.97465 | + | 0.529106i | 0.145573 | + | 0.0390062i | ||||
\(185\) | 0.269053 | + | 0.155338i | 0.0197812 | + | 0.0114207i | ||||
\(186\) | −0.966806 | − | 0.558186i | −0.0708896 | − | 0.0409282i | ||||
\(187\) | −6.35205 | + | 23.7062i | −0.464508 | + | 1.73357i | ||||
\(188\) | −1.07432 | − | 1.07432i | −0.0783526 | − | 0.0783526i | ||||
\(189\) | 4.40367 | + | 6.26339i | 0.320320 | + | 0.455595i | ||||
\(190\) | 0.473545 | + | 0.473545i | 0.0343546 | + | 0.0343546i | ||||
\(191\) | 4.22861 | + | 7.32417i | 0.305972 | + | 0.529958i | 0.977477 | − | 0.211041i | \(-0.0676854\pi\) |
−0.671506 | + | 0.740999i | \(0.734352\pi\) | |||||||
\(192\) | −1.24423 | + | 2.15506i | −0.0897943 | + | 0.155528i | ||||
\(193\) | −0.476941 | + | 0.127796i | −0.0343310 | + | 0.00919896i | −0.275944 | − | 0.961174i | \(-0.588990\pi\) |
0.241613 | + | 0.970373i | \(0.422324\pi\) | |||||||
\(194\) | −6.78820 | − | 11.7575i | −0.487365 | − | 0.844140i | ||||
\(195\) | −0.0849268 | − | 0.117018i | −0.00608173 | − | 0.00837987i | ||||
\(196\) | 2.80675 | − | 2.37362i | 0.200482 | − | 0.169545i | ||||
\(197\) | −2.77899 | + | 2.77899i | −0.197995 | + | 0.197995i | −0.799140 | − | 0.601145i | \(-0.794711\pi\) |
0.601145 | + | 0.799140i | \(0.294711\pi\) | |||||||
\(198\) | −9.22207 | − | 15.9731i | −0.655384 | − | 1.13516i | ||||
\(199\) | −8.03206 | + | 13.9119i | −0.569377 | + | 0.986191i | 0.427250 | + | 0.904133i | \(0.359482\pi\) |
−0.996628 | + | 0.0820571i | \(0.973851\pi\) | |||||||
\(200\) | −3.02909 | − | 11.3047i | −0.214189 | − | 0.799364i | ||||
\(201\) | 1.31830 | − | 4.91995i | 0.0929856 | − | 0.347027i | ||||
\(202\) | −12.6069 | + | 12.6069i | −0.887020 | + | 0.887020i | ||||
\(203\) | −0.785137 | + | 0.552015i | −0.0551058 | + | 0.0387439i | ||||
\(204\) | −1.53572 | −0.107522 | ||||||||
\(205\) | −0.751920 | + | 0.434121i | −0.0525164 | + | 0.0303203i | ||||
\(206\) | −3.97092 | − | 14.8197i | −0.276667 | − | 1.03254i | ||||
\(207\) | 2.07463 | + | 1.19779i | 0.144197 | + | 0.0832521i | ||||
\(208\) | 16.0745 | − | 6.16091i | 1.11456 | − | 0.427182i | ||||
\(209\) | − | 22.3675i | − | 1.54719i | ||||||
\(210\) | 0.0709583 | − | 0.152939i | 0.00489659 | − | 0.0105538i | ||||
\(211\) | 21.0547 | 1.44947 | 0.724734 | − | 0.689029i | \(-0.241963\pi\) | ||||
0.724734 | + | 0.689029i | \(0.241963\pi\) | |||||||
\(212\) | −4.79173 | + | 2.76651i | −0.329097 | + | 0.190004i | ||||
\(213\) | 2.51576 | − | 0.674096i | 0.172377 | − | 0.0461883i | ||||
\(214\) | 7.25011 | + | 27.0578i | 0.495607 | + | 1.84963i | ||||
\(215\) | −0.204266 | − | 0.0547330i | −0.0139309 | − | 0.00373276i | ||||
\(216\) | −4.79584 | + | 4.79584i | −0.326316 | + | 0.326316i | ||||
\(217\) | 2.36699 | − | 2.83193i | 0.160682 | − | 0.192244i | ||||
\(218\) | 21.6800i | 1.46836i | ||||||||
\(219\) | 1.55111 | − | 5.78881i | 0.104814 | − | 0.391172i | ||||
\(220\) | −0.0883611 | + | 0.153046i | −0.00595730 | + | 0.0103183i | ||||
\(221\) | −16.2650 | − | 13.1850i | −1.09410 | − | 0.886922i | ||||
\(222\) | 2.70391 | − | 1.56111i | 0.181475 | − | 0.104775i | ||||
\(223\) | 19.3108 | + | 19.3108i | 1.29314 | + | 1.29314i | 0.932832 | + | 0.360311i | \(0.117330\pi\) |
0.360311 | + | 0.932832i | \(0.382670\pi\) | |||||||
\(224\) | 5.88633 | + | 4.91994i | 0.393297 | + | 0.328727i | ||||
\(225\) | − | 13.7145i | − | 0.914300i | ||||||
\(226\) | −9.25428 | − | 2.47968i | −0.615585 | − | 0.164946i | ||||
\(227\) | 3.34823 | − | 0.897156i | 0.222230 | − | 0.0595463i | −0.145986 | − | 0.989287i | \(-0.546635\pi\) |
0.368216 | + | 0.929740i | \(0.379969\pi\) | |||||||
\(228\) | 1.35193 | − | 0.362248i | 0.0895337 | − | 0.0239905i | ||||
\(229\) | 18.6186 | + | 4.98883i | 1.23035 | + | 0.329671i | 0.814715 | − | 0.579861i | \(-0.196893\pi\) |
0.415633 | + | 0.909532i | \(0.363560\pi\) | |||||||
\(230\) | − | 0.110373i | − | 0.00727781i | ||||||
\(231\) | −5.28778 | + | 1.93613i | −0.347911 | + | 0.127388i | ||||
\(232\) | −0.601175 | − | 0.601175i | −0.0394691 | − | 0.0394691i | ||||
\(233\) | −4.47705 | + | 2.58482i | −0.293301 | + | 0.169337i | −0.639430 | − | 0.768850i | \(-0.720829\pi\) |
0.346129 | + | 0.938187i | \(0.387496\pi\) | |||||||
\(234\) | 15.6499 | − | 1.63672i | 1.02307 | − | 0.106996i | ||||
\(235\) | 0.115194 | − | 0.199522i | 0.00751444 | − | 0.0130154i | ||||
\(236\) | 0.301363 | − | 1.12470i | 0.0196171 | − | 0.0732119i | ||||
\(237\) | − | 4.30752i | − | 0.279804i | ||||||
\(238\) | 4.19327 | − | 24.0519i | 0.271809 | − | 1.55906i | ||||
\(239\) | 6.85569 | − | 6.85569i | 0.443458 | − | 0.443458i | −0.449715 | − | 0.893172i | \(-0.648474\pi\) |
0.893172 | + | 0.449715i | \(0.148474\pi\) | |||||||
\(240\) | 0.184941 | + | 0.0495548i | 0.0119379 | + | 0.00319875i | ||||
\(241\) | −0.578684 | − | 2.15968i | −0.0372763 | − | 0.139117i | 0.944780 | − | 0.327706i | \(-0.106275\pi\) |
−0.982056 | + | 0.188589i | \(0.939609\pi\) | |||||||
\(242\) | 10.5314 | − | 2.82189i | 0.676986 | − | 0.181398i | ||||
\(243\) | −10.4763 | + | 6.04851i | −0.672056 | + | 0.388012i | ||||
\(244\) | 2.20490 | 0.141154 | ||||||||
\(245\) | 0.457829 | + | 0.317955i | 0.0292496 | + | 0.0203134i | ||||
\(246\) | 8.72562i | 0.556325i | ||||||||
\(247\) | 17.4286 | + | 7.77049i | 1.10896 | + | 0.494424i | ||||
\(248\) | 2.83144 | + | 1.63473i | 0.179796 | + | 0.103805i | ||||
\(249\) | −0.905754 | − | 3.38032i | −0.0573998 | − | 0.214219i | ||||
\(250\) | −1.09514 | + | 0.632281i | −0.0692629 | + | 0.0399890i | ||||
\(251\) | −24.8342 | −1.56752 | −0.783759 | − | 0.621064i | \(-0.786700\pi\) | ||||
−0.783759 | + | 0.621064i | \(0.786700\pi\) | |||||||
\(252\) | 2.19459 | + | 3.12140i | 0.138246 | + | 0.196629i | ||||
\(253\) | −2.60669 | + | 2.60669i | −0.163881 | + | 0.163881i | ||||
\(254\) | 0.106861 | − | 0.398810i | 0.00670505 | − | 0.0250236i | ||||
\(255\) | −0.0602727 | − | 0.224941i | −0.00377442 | − | 0.0140863i | ||||
\(256\) | −5.90508 | + | 10.2279i | −0.369067 | + | 0.639244i | ||||
\(257\) | 6.67557 | + | 11.5624i | 0.416411 | + | 0.721244i | 0.995575 | − | 0.0939662i | \(-0.0299546\pi\) |
−0.579165 | + | 0.815210i | \(0.696621\pi\) | |||||||
\(258\) | −1.50277 | + | 1.50277i | −0.0935586 | + | 0.0935586i | ||||
\(259\) | 3.54915 | + | 9.69309i | 0.220533 | + | 0.602299i | ||||
\(260\) | −0.0885559 | − | 0.122019i | −0.00549200 | − | 0.00756729i | ||||
\(261\) | −0.498138 | − | 0.862801i | −0.0308340 | − | 0.0534060i | ||||
\(262\) | 1.20394 | − | 0.322596i | 0.0743799 | − | 0.0199300i | ||||
\(263\) | 0.211897 | − | 0.367017i | 0.0130662 | − | 0.0226312i | −0.859418 | − | 0.511273i | \(-0.829174\pi\) |
0.872485 | + | 0.488642i | \(0.162507\pi\) | |||||||
\(264\) | −2.49409 | − | 4.31988i | −0.153500 | − | 0.265870i | ||||
\(265\) | −0.593280 | − | 0.593280i | −0.0364449 | − | 0.0364449i | ||||
\(266\) | 1.98199 | + | 22.1626i | 0.121524 | + | 1.35888i | ||||
\(267\) | −2.86897 | − | 2.86897i | −0.175578 | − | 0.175578i | ||||
\(268\) | 1.37463 | − | 5.13019i | 0.0839689 | − | 0.313376i | ||||
\(269\) | −12.5697 | − | 7.25714i | −0.766390 | − | 0.442476i | 0.0651951 | − | 0.997873i | \(-0.479233\pi\) |
−0.831585 | + | 0.555397i | \(0.812566\pi\) | |||||||
\(270\) | 0.317124 | + | 0.183092i | 0.0192996 | + | 0.0111426i | ||||
\(271\) | −19.1090 | − | 5.12023i | −1.16079 | − | 0.311032i | −0.373506 | − | 0.927628i | \(-0.621845\pi\) |
−0.787280 | + | 0.616596i | \(0.788511\pi\) | |||||||
\(272\) | 27.7261 | 1.68114 | ||||||||
\(273\) | 0.328356 | − | 4.79283i | 0.0198730 | − | 0.290075i | ||||
\(274\) | 21.9213 | 1.32432 | ||||||||
\(275\) | 20.3854 | + | 5.46224i | 1.22928 | + | 0.329386i | ||||
\(276\) | −0.199769 | − | 0.115337i | −0.0120247 | − | 0.00694246i | ||||
\(277\) | −20.5717 | − | 11.8771i | −1.23603 | − | 0.713623i | −0.267751 | − | 0.963488i | \(-0.586281\pi\) |
−0.968281 | + | 0.249865i | \(0.919614\pi\) | |||||||
\(278\) | −1.28723 | + | 4.80401i | −0.0772030 | + | 0.288125i | ||||
\(279\) | 2.70910 | + | 2.70910i | 0.162190 | + | 0.162190i | ||||
\(280\) | −0.207812 | + | 0.447904i | −0.0124191 | + | 0.0267674i | ||||
\(281\) | 9.66092 | + | 9.66092i | 0.576322 | + | 0.576322i | 0.933888 | − | 0.357566i | \(-0.116393\pi\) |
−0.357566 | + | 0.933888i | \(0.616393\pi\) | |||||||
\(282\) | −1.15767 | − | 2.00515i | −0.0689384 | − | 0.119405i | ||||
\(283\) | 13.3825 | − | 23.1791i | 0.795506 | − | 1.37786i | −0.127011 | − | 0.991901i | \(-0.540538\pi\) |
0.922517 | − | 0.385956i | \(-0.126128\pi\) | |||||||
\(284\) | 2.62326 | − | 0.702902i | 0.155662 | − | 0.0417095i | ||||
\(285\) | 0.106119 | + | 0.183804i | 0.00628595 | + | 0.0108876i | ||||
\(286\) | −3.80025 | + | 23.9141i | −0.224713 | + | 1.41407i | ||||
\(287\) | −28.4193 | − | 4.95469i | −1.67754 | − | 0.292466i | ||||
\(288\) | −5.63103 | + | 5.63103i | −0.331812 | + | 0.331812i | ||||
\(289\) | −8.36139 | − | 14.4824i | −0.491847 | − | 0.851903i | ||||
\(290\) | −0.0229511 | + | 0.0397525i | −0.00134774 | + | 0.00233435i | ||||
\(291\) | −1.11360 | − | 4.15600i | −0.0652802 | − | 0.243629i | ||||
\(292\) | 1.61739 | − | 6.03618i | 0.0946505 | − | 0.353241i | ||||
\(293\) | −21.8755 | + | 21.8755i | −1.27798 | + | 1.27798i | −0.336181 | + | 0.941797i | \(0.609136\pi\) |
−0.941797 | + | 0.336181i | \(0.890864\pi\) | |||||||
\(294\) | 5.06780 | − | 2.38696i | 0.295560 | − | 0.139210i | ||||
\(295\) | 0.176566 | 0.0102801 | ||||||||
\(296\) | −7.91882 | + | 4.57193i | −0.460272 | + | 0.265738i | ||||
\(297\) | −3.16545 | − | 11.8136i | −0.183678 | − | 0.685495i | ||||
\(298\) | −4.66148 | − | 2.69131i | −0.270032 | − | 0.155903i | ||||
\(299\) | −1.12555 | − | 2.93669i | −0.0650925 | − | 0.169833i | ||||
\(300\) | 1.32059i | 0.0762443i | ||||||||
\(301\) | −4.04121 | − | 5.74785i | −0.232931 | − | 0.331301i | ||||
\(302\) | 25.8518 | 1.48760 | ||||||||
\(303\) | −4.89330 | + | 2.82515i | −0.281113 | + | 0.162300i | ||||
\(304\) | −24.4080 | + | 6.54010i | −1.39989 | + | 0.375100i | ||||
\(305\) | 0.0865362 | + | 0.322957i | 0.00495505 | + | 0.0184925i | ||||
\(306\) | 24.4798 | + | 6.55934i | 1.39942 | + | 0.374973i | ||||
\(307\) | −2.49534 | + | 2.49534i | −0.142417 | + | 0.142417i | −0.774720 | − | 0.632304i | \(-0.782109\pi\) |
0.632304 | + | 0.774720i | \(0.282109\pi\) | |||||||
\(308\) | −5.51374 | + | 2.01887i | −0.314174 | + | 0.115036i | ||||
\(309\) | − | 4.86230i | − | 0.276607i | ||||||
\(310\) | 0.0456868 | − | 0.170505i | 0.00259484 | − | 0.00968406i | ||||
\(311\) | 15.1553 | − | 26.2497i | 0.859378 | − | 1.48849i | −0.0131458 | − | 0.999914i | \(-0.504185\pi\) |
0.872523 | − | 0.488572i | \(-0.162482\pi\) | |||||||
\(312\) | 4.23248 | − | 0.442647i | 0.239617 | − | 0.0250599i | ||||
\(313\) | 16.8628 | − | 9.73575i | 0.953143 | − | 0.550297i | 0.0590869 | − | 0.998253i | \(-0.481181\pi\) |
0.894056 | + | 0.447956i | \(0.147848\pi\) | |||||||
\(314\) | 21.5964 | + | 21.5964i | 1.21876 | + | 1.21876i | ||||
\(315\) | −0.371068 | + | 0.443955i | −0.0209073 | + | 0.0250140i | ||||
\(316\) | − | 4.49159i | − | 0.252672i | ||||||
\(317\) | 4.84229 | + | 1.29749i | 0.271970 | + | 0.0728741i | 0.392226 | − | 0.919869i | \(-0.371705\pi\) |
−0.120256 | + | 0.992743i | \(0.538372\pi\) | |||||||
\(318\) | −8.14468 | + | 2.18236i | −0.456731 | + | 0.122381i | ||||
\(319\) | 1.48087 | − | 0.396799i | 0.0829131 | − | 0.0222165i | ||||
\(320\) | −0.380066 | − | 0.101838i | −0.0212463 | − | 0.00569294i | ||||
\(321\) | 8.87759i | 0.495499i | ||||||||
\(322\) | 2.35184 | − | 2.81380i | 0.131063 | − | 0.156807i | ||||
\(323\) | 21.7324 | + | 21.7324i | 1.20922 | + | 1.20922i | ||||
\(324\) | −3.08415 | + | 1.78063i | −0.171341 | + | 0.0989240i | ||||
\(325\) | −11.3381 | + | 13.9866i | −0.628922 | + | 0.775836i | ||||
\(326\) | 0.987103 | − | 1.70971i | 0.0546706 | − | 0.0946922i | ||||
\(327\) | −1.77829 | + | 6.63667i | −0.0983397 | + | 0.367009i | ||||
\(328\) | − | 25.5543i | − | 1.41100i | ||||||
\(329\) | 7.18813 | − | 2.63195i | 0.396294 | − | 0.145104i | ||||
\(330\) | −0.190434 | + | 0.190434i | −0.0104831 | + | 0.0104831i | ||||
\(331\) | −18.5252 | − | 4.96381i | −1.01824 | − | 0.272835i | −0.289169 | − | 0.957278i | \(-0.593379\pi\) |
−0.729067 | + | 0.684443i | \(0.760046\pi\) | |||||||
\(332\) | −0.944458 | − | 3.52477i | −0.0518339 | − | 0.193447i | ||||
\(333\) | −10.3499 | + | 2.77326i | −0.567173 | + | 0.151974i | ||||
\(334\) | 14.2353 | − | 8.21877i | 0.778922 | − | 0.449711i | ||||
\(335\) | 0.805384 | 0.0440029 | ||||||||
\(336\) | 3.65888 | + | 5.20406i | 0.199608 | + | 0.283905i | ||||
\(337\) | 3.01241i | 0.164097i | 0.996628 | + | 0.0820483i | \(0.0261462\pi\) | ||||
−0.996628 | + | 0.0820483i | \(0.973854\pi\) | |||||||
\(338\) | −17.3135 | − | 11.2689i | −0.941731 | − | 0.612948i | ||||
\(339\) | −2.62952 | − | 1.51815i | −0.142816 | − | 0.0824548i | ||||
\(340\) | −0.0628482 | − | 0.234553i | −0.00340842 | − | 0.0127204i | ||||
\(341\) | −5.10582 | + | 2.94785i | −0.276496 | + | 0.159635i | ||||
\(342\) | −23.0974 | −1.24897 | ||||||||
\(343\) | 4.89665 | + | 17.8612i | 0.264394 | + | 0.964415i | ||||
\(344\) | 4.40110 | − | 4.40110i | 0.237291 | − | 0.237291i | ||||
\(345\) | 0.00905332 | − | 0.0337874i | 0.000487414 | − | 0.00181905i | ||||
\(346\) | −1.30090 | − | 4.85503i | −0.0699369 | − | 0.261008i | ||||
\(347\) | 4.11910 | − | 7.13449i | 0.221125 | − | 0.382999i | −0.734025 | − | 0.679122i | \(-0.762361\pi\) |
0.955150 | + | 0.296123i | \(0.0956939\pi\) | |||||||
\(348\) | 0.0479665 | + | 0.0830804i | 0.00257127 | + | 0.00445358i | ||||
\(349\) | 8.06122 | − | 8.06122i | 0.431507 | − | 0.431507i | −0.457634 | − | 0.889141i | \(-0.651303\pi\) |
0.889141 | + | 0.457634i | \(0.151303\pi\) | |||||||
\(350\) | −20.6827 | − | 3.60587i | −1.10554 | − | 0.192742i | ||||
\(351\) | 10.3048 | + | 1.63756i | 0.550029 | + | 0.0874066i | ||||
\(352\) | −6.12728 | − | 10.6128i | −0.326585 | − | 0.565662i | ||||
\(353\) | 16.3265 | − | 4.37468i | 0.868974 | − | 0.232841i | 0.203330 | − | 0.979110i | \(-0.434824\pi\) |
0.665644 | + | 0.746270i | \(0.268157\pi\) | |||||||
\(354\) | 0.887222 | − | 1.53671i | 0.0471553 | − | 0.0816754i | ||||
\(355\) | 0.205912 | + | 0.356650i | 0.0109287 | + | 0.0189290i | ||||
\(356\) | −2.99156 | − | 2.99156i | −0.158553 | − | 0.158553i | ||||
\(357\) | 3.25649 | − | 7.01881i | 0.172352 | − | 0.371475i | ||||
\(358\) | 6.52042 | + | 6.52042i | 0.344615 | + | 0.344615i | ||||
\(359\) | −5.84652 | + | 21.8195i | −0.308568 | + | 1.15159i | 0.621263 | + | 0.783602i | \(0.286620\pi\) |
−0.929831 | + | 0.367988i | \(0.880047\pi\) | |||||||
\(360\) | −0.443878 | − | 0.256273i | −0.0233944 | − | 0.0135068i | ||||
\(361\) | −7.80339 | − | 4.50529i | −0.410705 | − | 0.237120i | ||||
\(362\) | −21.0292 | − | 5.63475i | −1.10527 | − | 0.296156i | ||||
\(363\) | 3.45534 | 0.181358 | ||||||||
\(364\) | 0.342387 | − | 4.99764i | 0.0179460 | − | 0.261947i | ||||
\(365\) | 0.947614 | 0.0496004 | ||||||||
\(366\) | 3.24564 | + | 0.869667i | 0.169652 | + | 0.0454582i | ||||
\(367\) | −22.2369 | − | 12.8385i | −1.16076 | − | 0.670163i | −0.209271 | − | 0.977858i | \(-0.567109\pi\) |
−0.951485 | + | 0.307695i | \(0.900442\pi\) | |||||||
\(368\) | 3.60667 | + | 2.08231i | 0.188011 | + | 0.108548i | ||||
\(369\) | 7.75040 | − | 28.9249i | 0.403470 | − | 1.50577i | ||||
\(370\) | 0.349087 | + | 0.349087i | 0.0181481 | + | 0.0181481i | ||||
\(371\) | −2.48313 | − | 27.7664i | −0.128918 | − | 1.44156i | ||||
\(372\) | −0.260863 | − | 0.260863i | −0.0135251 | − | 0.0135251i | ||||
\(373\) | −8.31200 | − | 14.3968i | −0.430379 | − | 0.745439i | 0.566527 | − | 0.824043i | \(-0.308287\pi\) |
−0.996906 | + | 0.0786048i | \(0.974953\pi\) | |||||||
\(374\) | −19.4997 | + | 33.7745i | −1.00831 | + | 1.74644i | ||||
\(375\) | −0.387107 | + | 0.103725i | −0.0199901 | + | 0.00535633i | ||||
\(376\) | 3.39042 | + | 5.87238i | 0.174848 | + | 0.302845i | ||||
\(377\) | −0.205274 | + | 1.29174i | −0.0105721 | + | 0.0665279i | ||||
\(378\) | 4.18327 | + | 11.4249i | 0.215164 | + | 0.587635i | ||||
\(379\) | −27.0566 | + | 27.0566i | −1.38980 | + | 1.38980i | −0.564094 | + | 0.825711i | \(0.690774\pi\) |
−0.825711 | + | 0.564094i | \(0.809226\pi\) | |||||||
\(380\) | 0.110654 | + | 0.191658i | 0.00567642 | + | 0.00983184i | ||||
\(381\) | 0.0654244 | − | 0.113318i | 0.00335179 | − | 0.00580547i | ||||
\(382\) | 3.47829 | + | 12.9811i | 0.177965 | + | 0.664173i | ||||
\(383\) | −6.99065 | + | 26.0895i | −0.357206 | + | 1.33311i | 0.520480 | + | 0.853874i | \(0.325753\pi\) |
−0.877686 | + | 0.479236i | \(0.840914\pi\) | |||||||
\(384\) | −4.86124 | + | 4.86124i | −0.248074 | + | 0.248074i | ||||
\(385\) | −0.512109 | − | 0.728378i | −0.0260995 | − | 0.0371216i | ||||
\(386\) | −0.784626 | −0.0399364 | ||||||||
\(387\) | 6.31642 | − | 3.64679i | 0.321082 | − | 0.185377i | ||||
\(388\) | −1.16118 | − | 4.33359i | −0.0589501 | − | 0.220005i | ||||
\(389\) | 16.4981 | + | 9.52520i | 0.836488 | + | 0.482947i | 0.856069 | − | 0.516862i | \(-0.172900\pi\) |
−0.0195807 | + | 0.999808i | \(0.506233\pi\) | |||||||
\(390\) | −0.0822283 | − | 0.214542i | −0.00416379 | − | 0.0108638i | ||||
\(391\) | − | 5.06536i | − | 0.256166i | ||||||
\(392\) | −14.8418 | + | 6.99056i | −0.749625 | + | 0.353077i | ||||
\(393\) | 0.395011 | 0.0199257 | ||||||||
\(394\) | −5.40846 | + | 3.12258i | −0.272474 | + | 0.157313i | ||||
\(395\) | 0.657896 | − | 0.176283i | 0.0331024 | − | 0.00886975i | ||||
\(396\) | −1.57752 | − | 5.88738i | −0.0792732 | − | 0.295852i | ||||
\(397\) | −3.28902 | − | 0.881290i | −0.165071 | − | 0.0442307i | 0.175337 | − | 0.984508i | \(-0.443899\pi\) |
−0.340408 | + | 0.940278i | \(0.610565\pi\) | |||||||
\(398\) | −18.0502 | + | 18.0502i | −0.904777 | + | 0.904777i | ||||
\(399\) | −1.21115 | + | 6.94699i | −0.0606335 | + | 0.347784i | ||||
\(400\) | − | 23.8422i | − | 1.19211i | ||||||
\(401\) | 9.54948 | − | 35.6391i | 0.476878 | − | 1.77973i | −0.137260 | − | 0.990535i | \(-0.543830\pi\) |
0.614138 | − | 0.789198i | \(-0.289504\pi\) | |||||||
\(402\) | 4.04696 | − | 7.00954i | 0.201844 | − | 0.349604i | ||||
\(403\) | −0.523180 | − | 5.00252i | −0.0260614 | − | 0.249193i | ||||
\(404\) | −5.10240 | + | 2.94587i | −0.253854 | + | 0.146563i | ||||
\(405\) | −0.381859 | − | 0.381859i | −0.0189747 | − | 0.0189747i | ||||
\(406\) | −1.43215 | + | 0.524386i | −0.0710766 | + | 0.0260249i | ||||
\(407\) | − | 16.4888i | − | 0.817318i | ||||||
\(408\) | 6.62050 | + | 1.77396i | 0.327764 | + | 0.0878240i | ||||
\(409\) | 5.42540 | − | 1.45373i | 0.268269 | − | 0.0718824i | −0.122177 | − | 0.992508i | \(-0.538988\pi\) |
0.390446 | + | 0.920626i | \(0.372321\pi\) | |||||||
\(410\) | −1.33268 | + | 0.357091i | −0.0658164 | + | 0.0176354i | ||||
\(411\) | 6.71055 | + | 1.79809i | 0.331007 | + | 0.0886931i | ||||
\(412\) | − | 5.07008i | − | 0.249785i | ||||||
\(413\) | 4.50128 | + | 3.76228i | 0.221494 | + | 0.185130i | ||||
\(414\) | 2.69176 | + | 2.69176i | 0.132293 | + | 0.132293i | ||||
\(415\) | 0.479215 | − | 0.276675i | 0.0235237 | − | 0.0135814i | ||||
\(416\) | 10.3980 | − | 1.08746i | 0.509805 | − | 0.0533171i | ||||
\(417\) | −0.788093 | + | 1.36502i | −0.0385931 | + | 0.0668452i | ||||
\(418\) | 9.19929 | − | 34.3322i | 0.449952 | − | 1.67924i | ||||
\(419\) | 17.2554i | 0.842980i | 0.906833 | + | 0.421490i | \(0.138493\pi\) | ||||
−0.906833 | + | 0.421490i | \(0.861507\pi\) | |||||||
\(420\) | 0.0357307 | − | 0.0427491i | 0.00174348 | − | 0.00208594i | ||||
\(421\) | 5.55993 | − | 5.55993i | 0.270974 | − | 0.270974i | −0.558518 | − | 0.829492i | \(-0.688630\pi\) |
0.829492 | + | 0.558518i | \(0.188630\pi\) | |||||||
\(422\) | 32.3173 | + | 8.65939i | 1.57318 | + | 0.421533i | ||||
\(423\) | 2.05657 | + | 7.67523i | 0.0999939 | + | 0.373182i | ||||
\(424\) | 23.8529 | − | 6.39137i | 1.15840 | − | 0.310392i | ||||
\(425\) | −25.1137 | + | 14.4994i | −1.21819 | + | 0.703325i | ||||
\(426\) | 4.13873 | 0.200522 | ||||||||
\(427\) | −4.67548 | + | 10.0772i | −0.226263 | + | 0.487671i | ||||
\(428\) | 9.25695i | 0.447451i | ||||||||
\(429\) | −3.12487 | + | 7.00884i | −0.150870 | + | 0.338390i | ||||
\(430\) | −0.291021 | − | 0.168021i | −0.0140343 | − | 0.00810271i | ||||
\(431\) | −2.11538 | − | 7.89471i | −0.101894 | − | 0.380275i | 0.896080 | − | 0.443892i | \(-0.146403\pi\) |
−0.997974 | + | 0.0636179i | \(0.979736\pi\) | |||||||
\(432\) | −11.9658 | + | 6.90844i | −0.575704 | + | 0.332383i | ||||
\(433\) | 6.91474 | 0.332301 | 0.166151 | − | 0.986100i | \(-0.446866\pi\) | ||||
0.166151 | + | 0.986100i | \(0.446866\pi\) | |||||||
\(434\) | 4.79785 | − | 3.37328i | 0.230304 | − | 0.161923i | ||||
\(435\) | −0.0102865 | + | 0.0102865i | −0.000493198 | + | 0.000493198i | ||||
\(436\) | −1.85428 | + | 6.92027i | −0.0888039 | + | 0.331421i | ||||
\(437\) | 1.19483 | + | 4.45917i | 0.0571565 | + | 0.213311i | ||||
\(438\) | 4.76164 | − | 8.24741i | 0.227520 | − | 0.394077i | ||||
\(439\) | 2.14789 | + | 3.72026i | 0.102513 | + | 0.177558i | 0.912719 | − | 0.408587i | \(-0.133978\pi\) |
−0.810206 | + | 0.586145i | \(0.800645\pi\) | |||||||
\(440\) | 0.557715 | − | 0.557715i | 0.0265880 | − | 0.0265880i | ||||
\(441\) | −18.9196 | + | 3.41122i | −0.900935 | + | 0.162439i | ||||
\(442\) | −19.5427 | − | 26.9274i | −0.929553 | − | 1.28081i | ||||
\(443\) | 11.5068 | + | 19.9303i | 0.546702 | + | 0.946916i | 0.998498 | + | 0.0547947i | \(0.0174504\pi\) |
−0.451795 | + | 0.892122i | \(0.649216\pi\) | |||||||
\(444\) | 0.996611 | − | 0.267041i | 0.0472971 | − | 0.0126732i | ||||
\(445\) | 0.320772 | − | 0.555593i | 0.0152061 | − | 0.0263377i | ||||
\(446\) | 21.6983 | + | 37.5825i | 1.02744 | + | 1.77958i | ||||
\(447\) | −1.20622 | − | 1.20622i | −0.0570521 | − | 0.0570521i | ||||
\(448\) | −7.51923 | − | 10.6947i | −0.355250 | − | 0.505276i | ||||
\(449\) | −7.20816 | − | 7.20816i | −0.340174 | − | 0.340174i | 0.516259 | − | 0.856433i | \(-0.327324\pi\) |
−0.856433 | + | 0.516259i | \(0.827324\pi\) | |||||||
\(450\) | 5.64050 | − | 21.0506i | 0.265896 | − | 0.992336i | ||||
\(451\) | 39.9074 | + | 23.0405i | 1.87916 | + | 1.08494i | ||||
\(452\) | −2.74188 | − | 1.58303i | −0.128967 | − | 0.0744593i | ||||
\(453\) | 7.91373 | + | 2.12048i | 0.371820 | + | 0.0996288i | ||||
\(454\) | 5.50824 | 0.258515 | ||||||||
\(455\) | 0.745456 | − | 0.145993i | 0.0349475 | − | 0.00684427i | ||||
\(456\) | −6.24664 | −0.292526 | ||||||||
\(457\) | −15.0670 | − | 4.03718i | −0.704803 | − | 0.188851i | −0.111422 | − | 0.993773i | \(-0.535540\pi\) |
−0.593381 | + | 0.804922i | \(0.702207\pi\) | |||||||
\(458\) | 26.5261 | + | 15.3149i | 1.23949 | + | 0.715617i | ||||
\(459\) | 14.5538 | + | 8.40262i | 0.679312 | + | 0.392201i | ||||
\(460\) | 0.00944018 | − | 0.0352312i | 0.000440151 | − | 0.00164266i | ||||
\(461\) | 10.2849 | + | 10.2849i | 0.479017 | + | 0.479017i | 0.904817 | − | 0.425800i | \(-0.140007\pi\) |
−0.425800 | + | 0.904817i | \(0.640007\pi\) | |||||||
\(462\) | −8.91261 | + | 0.797048i | −0.414652 | + | 0.0370820i | ||||
\(463\) | −15.2514 | − | 15.2514i | −0.708792 | − | 0.708792i | 0.257489 | − | 0.966281i | \(-0.417105\pi\) |
−0.966281 | + | 0.257489i | \(0.917105\pi\) | |||||||
\(464\) | −0.865996 | − | 1.49995i | −0.0402028 | − | 0.0696334i | ||||
\(465\) | 0.0279712 | − | 0.0484476i | 0.00129714 | − | 0.00224670i | ||||
\(466\) | −7.93498 | + | 2.12617i | −0.367581 | + | 0.0984930i | ||||
\(467\) | −8.90667 | − | 15.4268i | −0.412152 | − | 0.713868i | 0.582973 | − | 0.812491i | \(-0.301889\pi\) |
−0.995125 | + | 0.0986238i | \(0.968556\pi\) | |||||||
\(468\) | 5.13545 | + | 0.816087i | 0.237386 | + | 0.0377237i | ||||
\(469\) | 20.5321 | + | 17.1612i | 0.948082 | + | 0.792429i | ||||
\(470\) | 0.258873 | − | 0.258873i | 0.0119409 | − | 0.0119409i | ||||
\(471\) | 4.83965 | + | 8.38253i | 0.222999 | + | 0.386246i | ||||
\(472\) | −2.59836 | + | 4.50050i | −0.119599 | + | 0.207152i | ||||
\(473\) | 2.90490 | + | 10.8412i | 0.133567 | + | 0.498480i | ||||
\(474\) | 1.77160 | − | 6.61169i | 0.0813722 | − | 0.303685i | ||||
\(475\) | 18.6881 | − | 18.6881i | 0.857468 | − | 0.857468i | ||||
\(476\) | 3.39564 | − | 7.31874i | 0.155639 | − | 0.335454i | ||||
\(477\) | 28.9376 | 1.32496 | ||||||||
\(478\) | 13.3425 | − | 7.70331i | 0.610273 | − | 0.352341i | ||||
\(479\) | 6.55934 | + | 24.4798i | 0.299704 | + | 1.11851i | 0.937409 | + | 0.348229i | \(0.113217\pi\) |
−0.637706 | + | 0.770280i | \(0.720116\pi\) | |||||||
\(480\) | 0.100701 | + | 0.0581399i | 0.00459636 | + | 0.00265371i | ||||
\(481\) | 12.8480 | + | 5.72822i | 0.585817 | + | 0.261184i | ||||
\(482\) | − | 3.55293i | − | 0.161832i | ||||||
\(483\) | 0.950745 | − | 0.668451i | 0.0432604 | − | 0.0304156i | ||||
\(484\) | 3.60299 | 0.163772 | ||||||||
\(485\) | 0.589181 | − | 0.340164i | 0.0267533 | − | 0.0154460i | ||||
\(486\) | −18.5679 | + | 4.97526i | −0.842258 | + | 0.225682i | ||||
\(487\) | −8.64006 | − | 32.2452i | −0.391519 | − | 1.46117i | −0.827630 | − | 0.561275i | \(-0.810311\pi\) |
0.436111 | − | 0.899893i | \(-0.356355\pi\) | |||||||
\(488\) | −9.50535 | − | 2.54695i | −0.430287 | − | 0.115295i | ||||
\(489\) | 0.442410 | − | 0.442410i | 0.0200065 | − | 0.0200065i | ||||
\(490\) | 0.571961 | + | 0.676330i | 0.0258386 | + | 0.0305535i | ||||
\(491\) | 14.4968i | 0.654231i | 0.944984 | + | 0.327115i | \(0.106077\pi\) | ||||
−0.944984 | + | 0.327115i | \(0.893923\pi\) | |||||||
\(492\) | −0.746298 | + | 2.78522i | −0.0336457 | + | 0.125567i | ||||
\(493\) | −1.05330 | + | 1.82436i | −0.0474381 | + | 0.0821651i | ||||
\(494\) | 23.5557 | + | 19.0951i | 1.05982 | + | 0.859129i | ||||
\(495\) | 0.800427 | − | 0.462127i | 0.0359765 | − | 0.0207711i | ||||
\(496\) | 4.70968 | + | 4.70968i | 0.211471 | + | 0.211471i | ||||
\(497\) | −2.35010 | + | 13.4798i | −0.105417 | + | 0.604653i | ||||
\(498\) | − | 5.56103i | − | 0.249196i | ||||||
\(499\) | −9.55534 | − | 2.56035i | −0.427756 | − | 0.114617i | 0.0385167 | − | 0.999258i | \(-0.487737\pi\) |
−0.466273 | + | 0.884641i | \(0.654403\pi\) | |||||||
\(500\) | −0.403649 | + | 0.108157i | −0.0180517 | + | 0.00483694i | ||||
\(501\) | 5.03185 | − | 1.34828i | 0.224806 | − | 0.0602367i | ||||
\(502\) | −38.1184 | − | 10.2138i | −1.70131 | − | 0.455864i | ||||
\(503\) | − | 32.9620i | − | 1.46970i | −0.678229 | − | 0.734851i | \(-0.737252\pi\) | ||
0.678229 | − | 0.734851i | \(-0.262748\pi\) | |||||||
\(504\) | −5.85531 | − | 15.9915i | −0.260816 | − | 0.712316i | ||||
\(505\) | −0.631745 | − | 0.631745i | −0.0281123 | − | 0.0281123i | ||||
\(506\) | −5.07314 | + | 2.92898i | −0.225528 | + | 0.130209i | ||||
\(507\) | −4.37567 | − | 4.86976i | −0.194331 | − | 0.216274i | ||||
\(508\) | 0.0682200 | − | 0.118161i | 0.00302678 | − | 0.00524253i | ||||
\(509\) | 8.92421 | − | 33.3056i | 0.395559 | − | 1.47624i | −0.425268 | − | 0.905067i | \(-0.639820\pi\) |
0.820827 | − | 0.571177i | \(-0.193513\pi\) | |||||||
\(510\) | − | 0.370054i | − | 0.0163863i | ||||||
\(511\) | 24.1580 | + | 20.1918i | 1.06869 | + | 0.893233i | ||||
\(512\) | 6.03549 | − | 6.03549i | 0.266733 | − | 0.266733i | ||||
\(513\) | −14.7941 | − | 3.96406i | −0.653174 | − | 0.175018i | ||||
\(514\) | 5.49105 | + | 20.4929i | 0.242200 | + | 0.903903i | ||||
\(515\) | 0.742629 | − | 0.198987i | 0.0327241 | − | 0.00876840i | ||||
\(516\) | −0.608217 | + | 0.351154i | −0.0267753 | + | 0.0154587i | ||||
\(517\) | −12.2276 | −0.537770 | ||||||||
\(518\) | 1.46108 | + | 16.3378i | 0.0641960 | + | 0.717841i | ||||
\(519\) | − | 1.59292i | − | 0.0699216i | ||||||
\(520\) | 0.240818 | + | 0.628320i | 0.0105606 | + | 0.0275536i | ||||
\(521\) | −28.0062 | − | 16.1694i | −1.22697 | − | 0.708393i | −0.260577 | − | 0.965453i | \(-0.583913\pi\) |
−0.966395 | + | 0.257060i | \(0.917246\pi\) | |||||||
\(522\) | −0.409749 | − | 1.52920i | −0.0179342 | − | 0.0669314i | ||||
\(523\) | −16.8623 | + | 9.73548i | −0.737339 | + | 0.425703i | −0.821101 | − | 0.570783i | \(-0.806640\pi\) |
0.0837622 | + | 0.996486i | \(0.473306\pi\) | |||||||
\(524\) | 0.411891 | 0.0179935 | ||||||||
\(525\) | −6.03561 | − | 2.80031i | −0.263415 | − | 0.122216i | ||||
\(526\) | 0.476192 | − | 0.476192i | 0.0207629 | − | 0.0207629i | ||||
\(527\) | 2.09670 | − | 7.82500i | 0.0913338 | − | 0.340863i | ||||
\(528\) | −2.63007 | − | 9.81556i | −0.114459 | − | 0.427167i | ||||
\(529\) | −11.1196 | + | 19.2597i | −0.483460 | + | 0.837377i | ||||
\(530\) | −0.666632 | − | 1.15464i | −0.0289566 | − | 0.0501544i | ||||
\(531\) | −4.30605 | + | 4.30605i | −0.186867 | + | 0.186867i | ||||
\(532\) | −1.26291 | + | 7.24384i | −0.0547540 | + | 0.314060i | ||||
\(533\) | −31.8169 | + | 23.0913i | −1.37815 | + | 1.00020i | ||||
\(534\) | −3.22368 | − | 5.58358i | −0.139502 | − | 0.241625i | ||||
\(535\) | −1.35589 | + | 0.363310i | −0.0586203 | + | 0.0157073i | ||||
\(536\) | −11.8521 | + | 20.5285i | −0.511934 | + | 0.886695i | ||||
\(537\) | 1.46119 | + | 2.53086i | 0.0630551 | + | 0.109215i | ||||
\(538\) | −16.3088 | − | 16.3088i | −0.703122 | − | 0.703122i | ||||
\(539\) | 2.46488 | − | 29.4809i | 0.106170 | − | 1.26983i | ||||
\(540\) | 0.0855664 | + | 0.0855664i | 0.00368219 | + | 0.00368219i | ||||
\(541\) | −1.98308 | + | 7.40097i | −0.0852594 | + | 0.318193i | −0.995363 | − | 0.0961879i | \(-0.969335\pi\) |
0.910104 | + | 0.414380i | \(0.136002\pi\) | |||||||
\(542\) | −27.2248 | − | 15.7183i | −1.16941 | − | 0.675157i | ||||
\(543\) | −5.97525 | − | 3.44981i | −0.256423 | − | 0.148046i | ||||
\(544\) | 16.2647 | + | 4.35812i | 0.697345 | + | 0.186853i | ||||
\(545\) | −1.08641 | −0.0465366 | ||||||||
\(546\) | 2.47519 | − | 7.22156i | 0.105929 | − | 0.309054i | ||||
\(547\) | −17.3075 | −0.740016 | −0.370008 | − | 0.929029i | \(-0.620645\pi\) | ||||
−0.370008 | + | 0.929029i | \(0.620645\pi\) | |||||||
\(548\) | 6.99730 | + | 1.87492i | 0.298910 | + | 0.0800927i | ||||
\(549\) | −9.98663 | − | 5.76578i | −0.426219 | − | 0.246078i | ||||
\(550\) | 29.0433 | + | 16.7682i | 1.23841 | + | 0.714998i | ||||
\(551\) | 0.496908 | − | 1.85449i | 0.0211690 | − | 0.0790037i | ||||
\(552\) | 0.727980 | + | 0.727980i | 0.0309849 | + | 0.0309849i | ||||
\(553\) | 20.5283 | + | 9.52443i | 0.872952 | + | 0.405020i | ||||
\(554\) | −26.6910 | − | 26.6910i | −1.13399 | − | 1.13399i | ||||
\(555\) | 0.0782285 | + | 0.135496i | 0.00332062 | + | 0.00575148i | ||||
\(556\) | −0.821769 | + | 1.42335i | −0.0348508 | + | 0.0603633i | ||||
\(557\) | −16.0740 | + | 4.30702i | −0.681078 | + | 0.182494i | −0.582740 | − | 0.812659i | \(-0.698019\pi\) |
−0.0983379 | + | 0.995153i | \(0.531353\pi\) | |||||||
\(558\) | 3.04405 | + | 5.27245i | 0.128865 | + | 0.223200i | ||||
\(559\) | −9.45660 | − | 1.50277i | −0.399972 | − | 0.0635605i | ||||
\(560\) | −0.645089 | + | 0.771800i | −0.0272600 | + | 0.0326145i | ||||
\(561\) | −8.73959 | + | 8.73959i | −0.368986 | + | 0.368986i | ||||
\(562\) | 10.8554 | + | 18.8021i | 0.457906 | + | 0.793117i | ||||
\(563\) | 1.95468 | − | 3.38561i | 0.0823800 | − | 0.142686i | −0.821892 | − | 0.569644i | \(-0.807081\pi\) |
0.904272 | + | 0.426957i | \(0.140415\pi\) | |||||||
\(564\) | −0.198030 | − | 0.739059i | −0.00833858 | − | 0.0311200i | ||||
\(565\) | 0.124259 | − | 0.463741i | 0.00522762 | − | 0.0195097i | ||||
\(566\) | 30.0741 | − | 30.0741i | 1.26411 | − | 1.26411i | ||||
\(567\) | −1.59824 | − | 17.8716i | −0.0671198 | − | 0.750536i | ||||
\(568\) | −12.1209 | −0.508581 | ||||||||
\(569\) | −2.28143 | + | 1.31718i | −0.0956424 | + | 0.0552192i | −0.547058 | − | 0.837094i | \(-0.684252\pi\) |
0.451416 | + | 0.892314i | \(0.350919\pi\) | |||||||
\(570\) | 0.0872893 | + | 0.325768i | 0.00365615 | + | 0.0136449i | ||||
\(571\) | −16.2796 | − | 9.39903i | −0.681280 | − | 0.393337i | 0.119057 | − | 0.992887i | \(-0.462013\pi\) |
−0.800337 | + | 0.599550i | \(0.795346\pi\) | |||||||
\(572\) | −3.25840 | + | 7.30834i | −0.136240 | + | 0.305577i | ||||
\(573\) | 4.25908i | 0.177926i | ||||||||
\(574\) | −41.5836 | − | 19.2933i | −1.73566 | − | 0.805288i | ||||
\(575\) | −4.35580 | −0.181649 | ||||||||
\(576\) | 11.7526 | − | 6.78535i | 0.489690 | − | 0.282723i | ||||
\(577\) | 43.2935 | − | 11.6005i | 1.80233 | − | 0.482934i | 0.807994 | − | 0.589190i | \(-0.200553\pi\) |
0.994339 | + | 0.106257i | \(0.0338865\pi\) | |||||||
\(578\) | −6.87775 | − | 25.6681i | −0.286076 | − | 1.06765i | ||||
\(579\) | −0.240189 | − | 0.0643585i | −0.00998192 | − | 0.00267465i | ||||
\(580\) | −0.0107260 | + | 0.0107260i | −0.000445374 | + | 0.000445374i | ||||
\(581\) | 18.1123 | + | 3.15773i | 0.751423 | + | 0.131005i | ||||
\(582\) | − | 6.83712i | − | 0.283408i | ||||||
\(583\) | −11.5253 | + | 43.0130i | −0.477330 | + | 1.78142i | ||||
\(584\) | −13.9452 | + | 24.1538i | −0.577056 | + | 0.999491i | ||||
\(585\) | 0.0820177 | + | 0.784233i | 0.00339101 | + | 0.0324240i | ||||
\(586\) | −42.5740 | + | 24.5801i | −1.75872 | + | 1.01539i | ||||
\(587\) | −21.2468 | − | 21.2468i | −0.876947 | − | 0.876947i | 0.116270 | − | 0.993218i | \(-0.462906\pi\) |
−0.993218 | + | 0.116270i | \(0.962906\pi\) | |||||||
\(588\) | 1.82180 | − | 0.328471i | 0.0751297 | − | 0.0135459i | ||||
\(589\) | 7.38312i | 0.304216i | ||||||||
\(590\) | 0.271014 | + | 0.0726180i | 0.0111575 | + | 0.00298964i | ||||
\(591\) | −1.91176 | + | 0.512255i | −0.0786394 | + | 0.0210714i | ||||
\(592\) | −17.9930 | + | 4.82121i | −0.739508 | + | 0.198151i | ||||
\(593\) | 34.9791 | + | 9.37263i | 1.43642 | + | 0.384888i | 0.891279 | − | 0.453456i | \(-0.149809\pi\) |
0.545142 | + | 0.838344i | \(0.316476\pi\) | |||||||
\(594\) | − | 19.4348i | − | 0.797419i | ||||||
\(595\) | 1.20527 | + | 0.210129i | 0.0494111 | + | 0.00861444i | ||||
\(596\) | −1.25776 | − | 1.25776i | −0.0515198 | − | 0.0515198i | ||||
\(597\) | −7.00609 | + | 4.04497i | −0.286740 | + | 0.165550i | ||||
\(598\) | −0.519831 | − | 4.97050i | −0.0212575 | − | 0.203259i | ||||
\(599\) | 1.01128 | − | 1.75158i | 0.0413196 | − | 0.0715677i | −0.844626 | − | 0.535357i | \(-0.820177\pi\) |
0.885946 | + | 0.463789i | \(0.153510\pi\) | |||||||
\(600\) | 1.52546 | − | 5.69309i | 0.0622766 | − | 0.232419i | ||||
\(601\) | − | 16.8573i | − | 0.687623i | −0.939039 | − | 0.343811i | \(-0.888282\pi\) | ||
0.939039 | − | 0.343811i | \(-0.111718\pi\) | |||||||
\(602\) | −3.83894 | − | 10.4845i | −0.156464 | − | 0.427318i | ||||
\(603\) | −19.6415 | + | 19.6415i | −0.799865 | + | 0.799865i | ||||
\(604\) | 8.25190 | + | 2.21109i | 0.335765 | + | 0.0899680i | ||||
\(605\) | 0.141408 | + | 0.527741i | 0.00574904 | + | 0.0214557i | ||||
\(606\) | −8.67274 | + | 2.32385i | −0.352306 | + | 0.0944001i | ||||
\(607\) | 20.1392 | − | 11.6274i | 0.817424 | − | 0.471940i | −0.0321030 | − | 0.999485i | \(-0.510220\pi\) |
0.849528 | + | 0.527544i | \(0.176887\pi\) | |||||||
\(608\) | −15.3463 | −0.622373 | ||||||||
\(609\) | −0.481422 | + | 0.0430533i | −0.0195082 | + | 0.00174461i | ||||
\(610\) | 0.531303i | 0.0215118i | ||||||||
\(611\) | 4.24789 | − | 9.52771i | 0.171851 | − | 0.385450i | ||||
\(612\) | 7.25295 | + | 4.18749i | 0.293183 | + | 0.169269i | ||||
\(613\) | −0.603323 | − | 2.25163i | −0.0243680 | − | 0.0909426i | 0.952671 | − | 0.304003i | \(-0.0983234\pi\) |
−0.977039 | + | 0.213061i | \(0.931657\pi\) | |||||||
\(614\) | −4.85642 | + | 2.80386i | −0.195989 | + | 0.113155i | ||||
\(615\) | −0.437249 | −0.0176316 | ||||||||
\(616\) | 26.1019 | − | 2.33427i | 1.05168 | − | 0.0940506i | ||||
\(617\) | −8.67485 | + | 8.67485i | −0.349236 | + | 0.349236i | −0.859825 | − | 0.510589i | \(-0.829428\pi\) |
0.510589 | + | 0.859825i | \(0.329428\pi\) | |||||||
\(618\) | 1.99977 | − | 7.46323i | 0.0804424 | − | 0.300215i | ||||
\(619\) | 6.89158 | + | 25.7197i | 0.276996 | + | 1.03376i | 0.954492 | + | 0.298237i | \(0.0963986\pi\) |
−0.677496 | + | 0.735527i | \(0.736935\pi\) | |||||||
\(620\) | 0.0291665 | − | 0.0505178i | 0.00117135 | − | 0.00202885i | ||||
\(621\) | 1.26212 | + | 2.18606i | 0.0506473 | + | 0.0877237i | ||||
\(622\) | 34.0581 | − | 34.0581i | 1.36561 | − | 1.36561i | ||||
\(623\) | 20.0162 | − | 7.32898i | 0.801932 | − | 0.293629i | ||||
\(624\) | 8.56193 | + | 1.36060i | 0.342751 | + | 0.0544675i | ||||
\(625\) | 12.4525 | + | 21.5683i | 0.498099 | + | 0.862732i | ||||
\(626\) | 29.8871 | − | 8.00824i | 1.19453 | − | 0.320074i | ||||
\(627\) | 5.63216 | − | 9.75519i | 0.224927 | − | 0.389585i | ||||
\(628\) | 5.04646 | + | 8.74072i | 0.201376 | + | 0.348793i | ||||
\(629\) | 16.0206 | + | 16.0206i | 0.638784 | + | 0.638784i | ||||
\(630\) | −0.752148 | + | 0.528821i | −0.0299663 | + | 0.0210687i | ||||
\(631\) | −2.58488 | − | 2.58488i | −0.102903 | − | 0.102903i | 0.653781 | − | 0.756684i | \(-0.273182\pi\) |
−0.756684 | + | 0.653781i | \(0.773182\pi\) | |||||||
\(632\) | −5.18839 | + | 19.3633i | −0.206383 | + | 0.770232i | ||||
\(633\) | 9.18267 | + | 5.30162i | 0.364978 | + | 0.210720i | ||||
\(634\) | 6.89888 | + | 3.98307i | 0.273989 | + | 0.158188i | ||||
\(635\) | 0.0199848 | + | 0.00535490i | 0.000793071 | + | 0.000212503i | ||||
\(636\) | −2.78644 | −0.110490 | ||||||||
\(637\) | 22.1151 | + | 12.1623i | 0.876232 | + | 0.481889i | ||||
\(638\) | 2.43622 | 0.0964507 | ||||||||
\(639\) | −13.7196 | − | 3.67616i | −0.542740 | − | 0.145427i | ||||
\(640\) | −0.941409 | − | 0.543523i | −0.0372125 | − | 0.0214846i | ||||
\(641\) | 26.8165 | + | 15.4825i | 1.05919 | + | 0.611523i | 0.925208 | − | 0.379461i | \(-0.123891\pi\) |
0.133981 | + | 0.990984i | \(0.457224\pi\) | |||||||
\(642\) | −3.65118 | + | 13.6264i | −0.144100 | + | 0.537790i | ||||
\(643\) | 9.81258 | + | 9.81258i | 0.386970 | + | 0.386970i | 0.873605 | − | 0.486635i | \(-0.161776\pi\) |
−0.486635 | + | 0.873605i | \(0.661776\pi\) | |||||||
\(644\) | 0.991372 | − | 0.697015i | 0.0390655 | − | 0.0274662i | ||||
\(645\) | −0.0753055 | − | 0.0753055i | −0.00296515 | − | 0.00296515i | ||||
\(646\) | 24.4193 | + | 42.2955i | 0.960766 | + | 1.66410i | ||||
\(647\) | 13.7400 | − | 23.7983i | 0.540174 | − | 0.935608i | −0.458720 | − | 0.888581i | \(-0.651692\pi\) |
0.998894 | − | 0.0470275i | \(-0.0149748\pi\) | |||||||
\(648\) | 15.3527 | − | 4.11374i | 0.603111 | − | 0.161603i | ||||
\(649\) | −4.68553 | − | 8.11557i | −0.183923 | − | 0.318564i | ||||
\(650\) | −23.1554 | + | 16.8051i | −0.908229 | + | 0.659152i | ||||
\(651\) | 1.74541 | − | 0.639085i | 0.0684079 | − | 0.0250477i | ||||
\(652\) | 0.461314 | − | 0.461314i | 0.0180665 | − | 0.0180665i | ||||
\(653\) | −5.05778 | − | 8.76034i | −0.197926 | − | 0.342819i | 0.749930 | − | 0.661518i | \(-0.230087\pi\) |
−0.947856 | + | 0.318699i | \(0.896754\pi\) | |||||||
\(654\) | −5.45906 | + | 9.45537i | −0.213466 | + | 0.369734i | ||||
\(655\) | 0.0161656 | + | 0.0603308i | 0.000631642 | + | 0.00235732i | ||||
\(656\) | 13.4738 | − | 50.2849i | 0.526063 | − | 1.96330i | ||||
\(657\) | −23.1102 | + | 23.1102i | −0.901615 | + | 0.901615i | ||||
\(658\) | 12.1157 | − | 1.08349i | 0.472317 | − | 0.0422390i | ||||
\(659\) | 39.4336 | 1.53612 | 0.768058 | − | 0.640380i | \(-0.221223\pi\) | ||||
0.768058 | + | 0.640380i | \(0.221223\pi\) | |||||||
\(660\) | −0.0770744 | + | 0.0444989i | −0.00300012 | + | 0.00173212i | ||||
\(661\) | −6.57200 | − | 24.5270i | −0.255621 | − | 0.953992i | −0.967744 | − | 0.251936i | \(-0.918933\pi\) |
0.712123 | − | 0.702055i | \(-0.247734\pi\) | |||||||
\(662\) | −26.3931 | − | 15.2381i | −1.02580 | − | 0.592244i | ||||
\(663\) | −3.77370 | − | 9.84599i | −0.146558 | − | 0.382386i | ||||
\(664\) | 16.2863i | 0.632032i | ||||||||
\(665\) | −1.11059 | + | 0.0993194i | −0.0430669 | + | 0.00385144i | ||||
\(666\) | −17.0269 | −0.659778 | ||||||||
\(667\) | −0.274030 | + | 0.158211i | −0.0106105 | + | 0.00612597i | ||||
\(668\) | 5.24687 | − | 1.40589i | 0.203007 | − | 0.0543957i | ||||
\(669\) | 3.55958 | + | 13.2845i | 0.137621 | + | 0.513610i | ||||
\(670\) | 1.23620 | + | 0.331238i | 0.0477585 | + | 0.0127969i | ||||
\(671\) | 12.5478 | − | 12.5478i | 0.484403 | − | 0.484403i | ||||
\(672\) | 1.32838 | + | 3.62793i | 0.0512433 | + | 0.139951i | ||||
\(673\) | − | 20.9026i | − | 0.805734i | −0.915258 | − | 0.402867i | \(-0.868014\pi\) | ||
0.915258 | − | 0.402867i | \(-0.131986\pi\) | |||||||
\(674\) | −1.23894 | + | 4.62380i | −0.0477224 | + | 0.178102i | ||||
\(675\) | 7.22557 | − | 12.5150i | 0.278112 | − | 0.481704i | ||||
\(676\) | −4.56265 | − | 5.07785i | −0.175487 | − | 0.195302i | ||||
\(677\) | −13.6905 | + | 7.90421i | −0.526169 | + | 0.303784i | −0.739455 | − | 0.673206i | \(-0.764917\pi\) |
0.213286 | + | 0.976990i | \(0.431583\pi\) | |||||||
\(678\) | −3.41171 | − | 3.41171i | −0.131026 | − | 0.131026i | ||||
\(679\) | 22.2685 | + | 3.88234i | 0.854586 | + | 0.148990i | ||||
\(680\) | 1.08376i | 0.0415603i | ||||||||
\(681\) | 1.68618 | + | 0.451810i | 0.0646145 | + | 0.0173134i | ||||
\(682\) | −9.04940 | + | 2.42478i | −0.346520 | + | 0.0928496i | ||||
\(683\) | −11.2605 | + | 3.01723i | −0.430870 | + | 0.115451i | −0.467734 | − | 0.883869i | \(-0.654930\pi\) |
0.0368647 | + | 0.999320i | \(0.488263\pi\) | |||||||
\(684\) | −7.37271 | − | 1.97551i | −0.281902 | − | 0.0755355i | ||||
\(685\) | 1.09850i | 0.0419715i | ||||||||
\(686\) | 0.170005 | + | 29.4294i | 0.00649081 | + | 1.12362i | ||||
\(687\) | 6.86397 | + | 6.86397i | 0.261877 | + | 0.261877i | ||||
\(688\) | 10.9809 | − | 6.33981i | 0.418642 | − | 0.241703i | ||||
\(689\) | −29.5117 | − | 23.9233i | −1.12430 | − | 0.911403i | ||||
\(690\) | 0.0277922 | − | 0.0481375i | 0.00105803 | − | 0.00183256i | ||||
\(691\) | −2.70856 | + | 10.1085i | −0.103038 | + | 0.384545i | −0.998115 | − | 0.0613673i | \(-0.980454\pi\) |
0.895077 | + | 0.445912i | \(0.147121\pi\) | |||||||
\(692\) | − | 1.66099i | − | 0.0631415i | ||||||
\(693\) | 30.2527 | + | 5.27432i | 1.14921 | + | 0.200355i | ||||
\(694\) | 9.25675 | − | 9.25675i | 0.351381 | − | 0.351381i | ||||
\(695\) | −0.240734 | − | 0.0645044i | −0.00913155 | − | 0.00244679i | ||||
\(696\) | −0.110815 | − | 0.413569i | −0.00420045 | − | 0.0156763i | ||||
\(697\) | −61.1607 | + | 16.3880i | −2.31663 | + | 0.620738i | ||||
\(698\) | 15.6887 | − | 9.05789i | 0.593827 | − | 0.342846i | ||||
\(699\) | −2.60345 | −0.0984716 | ||||||||
\(700\) | −6.29352 | − | 2.91998i | −0.237873 | − | 0.110365i | ||||
\(701\) | 36.2902i | 1.37066i | 0.728232 | + | 0.685331i | \(0.240343\pi\) | ||||
−0.728232 | + | 0.685331i | \(0.759657\pi\) | |||||||
\(702\) | 15.1435 | + | 6.75167i | 0.571555 | + | 0.254826i | ||||
\(703\) | −17.8823 | − | 10.3244i | −0.674445 | − | 0.389391i | ||||
\(704\) | 5.40497 | + | 20.1716i | 0.203707 | + | 0.760246i | ||||
\(705\) | 0.100480 | − | 0.0580122i | 0.00378430 | − | 0.00218486i | ||||
\(706\) | 26.8591 | 1.01086 | ||||||||
\(707\) | −2.64412 | − | 29.5666i | −0.0994425 | − | 1.11197i | ||||
\(708\) | 0.414636 | − | 0.414636i | 0.0155830 | − | 0.0155830i | ||||
\(709\) | 1.66812 | − | 6.22549i | 0.0626474 | − | 0.233803i | −0.927502 | − | 0.373818i | \(-0.878048\pi\) |
0.990149 | + | 0.140015i | \(0.0447151\pi\) | |||||||
\(710\) | 0.169375 | + | 0.632116i | 0.00635653 | + | 0.0237229i | ||||
\(711\) | −11.7455 | + | 20.3438i | −0.440490 | + | 0.762951i | ||||
\(712\) | 9.44103 | + | 16.3523i | 0.353818 | + | 0.612830i | ||||
\(713\) | 0.860425 | − | 0.860425i | 0.0322232 | − | 0.0322232i | ||||
\(714\) | 7.88514 | − | 9.43397i | 0.295094 | − | 0.353058i | ||||
\(715\) | −1.19836 | − | 0.190434i | −0.0448160 | − | 0.00712183i | ||||
\(716\) | 1.52363 | + | 2.63901i | 0.0569408 | + | 0.0986244i | ||||
\(717\) | 4.71627 | − | 1.26372i | 0.176132 | − | 0.0471945i | ||||
\(718\) | −17.9479 | + | 31.0866i | −0.669808 | + | 1.16014i | ||||
\(719\) | 2.59436 | + | 4.49357i | 0.0967533 | + | 0.167582i | 0.910339 | − | 0.413863i | \(-0.135821\pi\) |
−0.813586 | + | 0.581445i | \(0.802488\pi\) | |||||||
\(720\) | −0.738325 | − | 0.738325i | −0.0275158 | − | 0.0275158i | ||||
\(721\) | 23.1722 | + | 10.7511i | 0.862978 | + | 0.400392i | ||||
\(722\) | −10.1246 | − | 10.1246i | −0.376799 | − | 0.376799i | ||||
\(723\) | 0.291427 | − | 1.08762i | 0.0108383 | − | 0.0404491i | ||||
\(724\) | −6.23059 | − | 3.59723i | −0.231558 | − | 0.133690i | ||||
\(725\) | 1.56880 | + | 0.905748i | 0.0582639 | + | 0.0336387i | ||||
\(726\) | 5.30366 | + | 1.42111i | 0.196837 | + | 0.0527424i | ||||
\(727\) | 23.5345 | 0.872848 | 0.436424 | − | 0.899741i | \(-0.356245\pi\) | ||||
0.436424 | + | 0.899741i | \(0.356245\pi\) | |||||||
\(728\) | −7.24898 | + | 21.1494i | −0.268665 | + | 0.783849i | ||||
\(729\) | 14.2532 | 0.527898 | ||||||||
\(730\) | 1.45451 | + | 0.389735i | 0.0538338 | + | 0.0144247i | ||||
\(731\) | −13.3558 | − | 7.71100i | −0.493984 | − | 0.285202i | ||||
\(732\) | 0.961628 | + | 0.555196i | 0.0355428 | + | 0.0205206i | ||||
\(733\) | −0.491030 | + | 1.83255i | −0.0181366 | + | 0.0676867i | −0.974401 | − | 0.224817i | \(-0.927822\pi\) |
0.956264 | + | 0.292503i | \(0.0944883\pi\) | |||||||
\(734\) | −28.8516 | − | 28.8516i | −1.06493 | − | 1.06493i | ||||
\(735\) | 0.119613 | + | 0.253953i | 0.00441198 | + | 0.00936718i | ||||
\(736\) | 1.78844 | + | 1.78844i | 0.0659230 | + | 0.0659230i | ||||
\(737\) | −21.3725 | − | 37.0182i | −0.787265 | − | 1.36358i | ||||
\(738\) | 23.7925 | − | 41.2097i | 0.875812 | − | 1.51695i | ||||
\(739\) | −6.31322 | + | 1.69162i | −0.232236 | + | 0.0622274i | −0.373060 | − | 0.927807i | \(-0.621691\pi\) |
0.140824 | + | 0.990035i | \(0.455025\pi\) | |||||||
\(740\) | 0.0815714 | + | 0.141286i | 0.00299862 | + | 0.00519377i | ||||
\(741\) | 5.64458 | + | 7.77752i | 0.207359 | + | 0.285714i | ||||
\(742\) | 7.60837 | − | 43.6404i | 0.279312 | − | 1.60209i | ||||
\(743\) | 12.2516 | − | 12.2516i | 0.449468 | − | 0.449468i | −0.445709 | − | 0.895178i | \(-0.647049\pi\) |
0.895178 | + | 0.445709i | \(0.147049\pi\) | |||||||
\(744\) | 0.823255 | + | 1.42592i | 0.0301820 | + | 0.0522768i | ||||
\(745\) | 0.134864 | − | 0.233591i | 0.00494103 | − | 0.00855812i | ||||
\(746\) | −6.83712 | − | 25.5165i | −0.250325 | − | 0.934225i | ||||
\(747\) | −4.93950 | + | 18.4345i | −0.180727 | + | 0.674482i | ||||
\(748\) | −9.11304 | + | 9.11304i | −0.333206 | + | 0.333206i | ||||
\(749\) | −42.3078 | − | 19.6294i | −1.54589 | − | 0.717241i | ||||
\(750\) | −0.636837 | −0.0232540 | ||||||||
\(751\) | −35.4951 | + | 20.4931i | −1.29524 | + | 0.747805i | −0.979577 | − | 0.201068i | \(-0.935559\pi\) |
−0.315659 | + | 0.948873i | \(0.602225\pi\) | |||||||
\(752\) | 3.57528 | + | 13.3431i | 0.130377 | + | 0.486573i | ||||
\(753\) | −10.8310 | − | 6.25328i | −0.394704 | − | 0.227882i | ||||
\(754\) | −0.846344 | + | 1.89829i | −0.0308220 | + | 0.0691316i | ||||
\(755\) | 1.29546i | 0.0471466i | ||||||||
\(756\) | 0.358132 | + | 4.00464i | 0.0130251 | + | 0.145647i | ||||
\(757\) | −25.7292 | −0.935142 | −0.467571 | − | 0.883955i | \(-0.654871\pi\) | ||||
−0.467571 | + | 0.883955i | \(0.654871\pi\) | |||||||
\(758\) | −52.6575 | + | 30.4018i | −1.91261 | + | 1.10424i | ||||
\(759\) | −1.79323 | + | 0.480496i | −0.0650903 | + | 0.0174409i | ||||
\(760\) | −0.255640 | − | 0.954061i | −0.00927303 | − | 0.0346074i | ||||
\(761\) | 27.4299 | + | 7.34981i | 0.994332 | + | 0.266430i | 0.719069 | − | 0.694939i | \(-0.244568\pi\) |
0.275263 | + | 0.961369i | \(0.411235\pi\) | |||||||
\(762\) | 0.147027 | − | 0.147027i | 0.00532621 | − | 0.00532621i | ||||
\(763\) | −27.6963 | − | 23.1492i | −1.00267 | − | 0.838058i | ||||
\(764\) | 4.44108i | 0.160673i | ||||||||
\(765\) | −0.328695 | + | 1.22671i | −0.0118840 | + | 0.0443517i | ||||
\(766\) | −21.4601 | + | 37.1701i | −0.775387 | + | 1.34301i | ||||
\(767\) | 7.95138 | − | 0.831581i | 0.287108 | − | 0.0300267i | ||||
\(768\) | −5.15080 | + | 2.97382i | −0.185864 | + | 0.107308i | ||||
\(769\) | 20.7240 | + | 20.7240i | 0.747328 | + | 0.747328i | 0.973977 | − | 0.226649i | \(-0.0727770\pi\) |
−0.226649 | + | 0.973977i | \(0.572777\pi\) | |||||||
\(770\) | −0.486477 | − | 1.32862i | −0.0175314 | − | 0.0478802i | ||||
\(771\) | 6.72367i | 0.242147i | ||||||||
\(772\) | −0.250453 | − | 0.0671086i | −0.00901399 | − | 0.00241529i | ||||
\(773\) | 5.88696 | − | 1.57741i | 0.211739 | − | 0.0567353i | −0.151390 | − | 0.988474i | \(-0.548375\pi\) |
0.363129 | + | 0.931739i | \(0.381708\pi\) | |||||||
\(774\) | 11.1950 | − | 2.99970i | 0.402397 | − | 0.107822i | ||||
\(775\) | −6.72886 | − | 1.80299i | −0.241708 | − | 0.0647654i | ||||
\(776\) | 20.0235i | 0.718803i | ||||||||
\(777\) | −0.892834 | + | 5.12116i | −0.0320302 | + | 0.183720i | ||||
\(778\) | 21.4057 | + | 21.4057i | 0.767433 | + | 0.767433i | ||||
\(779\) | 49.9756 | − | 28.8535i | 1.79056 | − | 1.03378i | ||||
\(780\) | −0.00789760 | − | 0.0755150i | −0.000282780 | − | 0.00270387i | ||||
\(781\) | 10.9286 | − | 18.9288i | 0.391055 | − | 0.677327i | ||||
\(782\) | 2.08328 | − | 7.77492i | 0.0744980 | − | 0.278030i | ||||
\(783\) | − | 1.04979i | − | 0.0375164i | ||||||
\(784\) | −32.8911 | + | 5.93028i | −1.17468 | + | 0.211796i | ||||
\(785\) | −1.08222 | + | 1.08222i | −0.0386261 | + | 0.0386261i | ||||
\(786\) | 0.606310 | + | 0.162460i | 0.0216264 | + | 0.00579477i | ||||
\(787\) | −3.40865 | − | 12.7213i | −0.121505 | − | 0.453464i | 0.878186 | − | 0.478320i | \(-0.158754\pi\) |
−0.999691 | + | 0.0248556i | \(0.992087\pi\) | |||||||
\(788\) | −1.99346 | + | 0.534145i | −0.0710139 | + | 0.0190281i | ||||
\(789\) | 0.184831 | − | 0.106712i | 0.00658015 | − | 0.00379905i | ||||
\(790\) | 1.08232 | 0.0385071 | ||||||||
\(791\) | 13.0492 | − | 9.17465i | 0.463976 | − | 0.326213i | ||||
\(792\) | 27.2028i | 0.966611i | ||||||||
\(793\) | 5.41807 | + | 14.1363i | 0.192401 | + | 0.501995i | ||||
\(794\) | −4.68591 | − | 2.70541i | −0.166297 | − | 0.0960115i | ||||
\(795\) | −0.109360 | − | 0.408138i | −0.00387861 | − | 0.0144752i | ||||
\(796\) | −7.30547 | + | 4.21782i | −0.258936 | + | 0.149497i | ||||
\(797\) | −32.0204 | −1.13422 | −0.567111 | − | 0.823642i | \(-0.691939\pi\) | ||||
−0.567111 | + | 0.823642i | \(0.691939\pi\) | |||||||
\(798\) | −4.71618 | + | 10.1649i | −0.166951 | + | 0.359835i | ||||
\(799\) | 11.8805 | − | 11.8805i | 0.420300 | − | 0.420300i | ||||
\(800\) | 3.74763 | − | 13.9863i | 0.132499 | − | 0.494492i | ||||
\(801\) | 5.72677 | + | 21.3726i | 0.202345 | + | 0.755164i | ||||
\(802\) | 29.3153 | − | 50.7756i | 1.03516 | − | 1.79295i | ||||
\(803\) | −25.1468 | − | 43.5556i | −0.887412 | − | 1.53704i | ||||
\(804\) | 1.89131 | − | 1.89131i | 0.0667014 | − | 0.0667014i | ||||
\(805\) | 0.141002 | + | 0.117853i | 0.00496968 | + | 0.00415378i | ||||
\(806\) | 1.25440 | − | 7.89362i | 0.0441842 | − | 0.278041i | ||||
\(807\) | −3.65472 | − | 6.33016i | −0.128652 | − | 0.222832i | ||||
\(808\) | 25.3994 | − | 6.80575i | 0.893548 | − | 0.239426i | ||||
\(809\) | 16.2002 | − | 28.0596i | 0.569570 | − | 0.986524i | −0.427039 | − | 0.904233i | \(-0.640443\pi\) |
0.996608 | − | 0.0822903i | \(-0.0262235\pi\) | |||||||
\(810\) | −0.429071 | − | 0.743173i | −0.0150760 | − | 0.0261124i | ||||
\(811\) | −36.2274 | − | 36.2274i | −1.27212 | − | 1.27212i | −0.944975 | − | 0.327142i | \(-0.893915\pi\) |
−0.327142 | − | 0.944975i | \(-0.606085\pi\) | |||||||
\(812\) | −0.501994 | + | 0.0448930i | −0.0176165 | + | 0.00157544i | ||||
\(813\) | −7.04476 | − | 7.04476i | −0.247071 | − | 0.247071i | ||||
\(814\) | 6.78150 | − | 25.3089i | 0.237692 | − | 0.887077i | ||||
\(815\) | 0.0856754 | + | 0.0494647i | 0.00300108 | + | 0.00173267i | ||||
\(816\) | 12.0923 | + | 6.98148i | 0.423314 | + | 0.244401i | ||||
\(817\) | 13.5764 | + | 3.63778i | 0.474977 | + | 0.127270i | ||||
\(818\) | 8.92543 | 0.312070 | ||||||||
\(819\) | −14.6196 | + | 21.7405i | −0.510849 | + | 0.759673i | ||||
\(820\) | −0.455934 | −0.0159219 | ||||||||
\(821\) | 5.16554 | + | 1.38410i | 0.180279 | + | 0.0483055i | 0.347829 | − | 0.937558i | \(-0.386919\pi\) |
−0.167550 | + | 0.985864i | \(0.553586\pi\) | |||||||
\(822\) | 9.56062 | + | 5.51983i | 0.333465 | + | 0.192526i | ||||
\(823\) | −13.0985 | − | 7.56245i | −0.456587 | − | 0.263610i | 0.254021 | − | 0.967199i | \(-0.418247\pi\) |
−0.710608 | + | 0.703588i | \(0.751580\pi\) | |||||||
\(824\) | −5.85662 | + | 21.8572i | −0.204025 | + | 0.761432i | ||||
\(825\) | 7.51533 | + | 7.51533i | 0.261650 | + | 0.261650i | ||||
\(826\) | 5.36175 | + | 7.62607i | 0.186559 | + | 0.265345i | ||||
\(827\) | 18.6451 | + | 18.6451i | 0.648353 | + | 0.648353i | 0.952595 | − | 0.304242i | \(-0.0984030\pi\) |
−0.304242 | + | 0.952595i | \(0.598403\pi\) | |||||||
\(828\) | 0.628986 | + | 1.08944i | 0.0218588 | + | 0.0378605i | ||||
\(829\) | −8.43417 | + | 14.6084i | −0.292931 | + | 0.507371i | −0.974501 | − | 0.224381i | \(-0.927964\pi\) |
0.681571 | + | 0.731752i | \(0.261297\pi\) | |||||||
\(830\) | 0.849347 | − | 0.227582i | 0.0294813 | − | 0.00789948i | ||||
\(831\) | −5.98132 | − | 10.3600i | −0.207490 | − | 0.359383i | ||||
\(832\) | −17.5953 | − | 2.79612i | −0.610008 | − | 0.0969380i | ||||
\(833\) | 26.2490 | + | 31.0388i | 0.909474 | + | 1.07543i | ||||
\(834\) | −1.77106 | + | 1.77106i | −0.0613268 | + | 0.0613268i | ||||
\(835\) | 0.411851 | + | 0.713346i | 0.0142527 | + | 0.0246864i | ||||
\(836\) | 5.87283 | − | 10.1720i | 0.203116 | − | 0.351808i | ||||
\(837\) | 1.04486 | + | 3.89947i | 0.0361157 | + | 0.134785i | ||||
\(838\) | −7.09679 | + | 26.4856i | −0.245155 | + | 0.914929i | ||||
\(839\) | −21.4556 | + | 21.4556i | −0.740729 | + | 0.740729i | −0.972718 | − | 0.231989i | \(-0.925477\pi\) |
0.231989 | + | 0.972718i | \(0.425477\pi\) | |||||||
\(840\) | −0.203417 | + | 0.143018i | −0.00701854 | + | 0.00493460i | ||||
\(841\) | −28.8684 | −0.995462 | ||||||||
\(842\) | 10.8207 | − | 6.24735i | 0.372907 | − | 0.215298i | ||||
\(843\) | 1.78081 | + | 6.64608i | 0.0613344 | + | 0.228903i | ||||
\(844\) | 9.57506 | + | 5.52816i | 0.329587 | + | 0.190287i | ||||
\(845\) | 0.564696 | − | 0.867597i | 0.0194261 | − | 0.0298462i | ||||
\(846\) | 12.6267i | 0.434114i | ||||||||
\(847\) | −7.64015 | + | 16.4671i | −0.262519 | + | 0.565815i | ||||
\(848\) | 50.3069 | 1.72755 | ||||||||
\(849\) | 11.6731 | − | 6.73946i | 0.400619 | − | 0.231298i | ||||
\(850\) | −44.5108 | + | 11.9266i | −1.52671 | + | 0.409080i | ||||
\(851\) | 0.880801 | + | 3.28719i | 0.0301935 | + | 0.112684i | ||||
\(852\) | 1.32108 | + | 0.353983i | 0.0452596 | + | 0.0121273i | ||||
\(853\) | 32.1950 | − | 32.1950i | 1.10234 | − | 1.10234i | 0.108209 | − | 0.994128i | \(-0.465488\pi\) |
0.994128 | − | 0.108209i | \(-0.0345116\pi\) | |||||||
\(854\) | −11.3210 | + | 13.5448i | −0.387398 | + | 0.463493i | ||||
\(855\) | − | 1.15743i | − | 0.0395834i | ||||||
\(856\) | 10.6930 | − | 39.9069i | 0.365480 | − | 1.36399i | ||||
\(857\) | −5.85701 | + | 10.1446i | −0.200071 | + | 0.346534i | −0.948551 | − | 0.316624i | \(-0.897451\pi\) |
0.748480 | + | 0.663158i | \(0.230784\pi\) | |||||||
\(858\) | −7.67901 | + | 9.47280i | −0.262157 | + | 0.323396i | ||||
\(859\) | −13.9161 | + | 8.03444i | −0.474810 | + | 0.274132i | −0.718251 | − | 0.695784i | \(-0.755057\pi\) |
0.243441 | + | 0.969916i | \(0.421724\pi\) | |||||||
\(860\) | −0.0785234 | − | 0.0785234i | −0.00267763 | − | 0.00267763i | ||||
\(861\) | −11.1470 | − | 9.31693i | −0.379889 | − | 0.317520i | ||||
\(862\) | − | 12.9877i | − | 0.442364i | ||||||
\(863\) | −43.5369 | − | 11.6657i | −1.48201 | − | 0.397104i | −0.574981 | − | 0.818167i | \(-0.694991\pi\) |
−0.907032 | + | 0.421063i | \(0.861657\pi\) | |||||||
\(864\) | −8.10529 | + | 2.17180i | −0.275747 | + | 0.0738863i | ||||
\(865\) | 0.243290 | − | 0.0651894i | 0.00827212 | − | 0.00221651i | ||||
\(866\) | 10.6136 | + | 2.84389i | 0.360663 | + | 0.0966395i | ||||
\(867\) | − | 8.42165i | − | 0.286014i | ||||||
\(868\) | 1.81999 | − | 0.666394i | 0.0617746 | − | 0.0226189i | ||||
\(869\) | −25.5611 | − | 25.5611i | −0.867102 | − | 0.867102i | ||||
\(870\) | −0.0200195 | + | 0.0115583i | −0.000678724 | + | 0.000391862i | ||||
\(871\) | 36.2692 | − | 3.79316i | 1.22894 | − | 0.128526i | ||||
\(872\) | 15.9877 | − | 27.6915i | 0.541411 | − | 0.937752i | ||||
\(873\) | −6.07297 | + | 22.6646i | −0.205539 | + | 0.767082i | ||||
\(874\) | 7.33586i | 0.248139i | ||||||||
\(875\) | 0.361617 | − | 2.07418i | 0.0122249 | − | 0.0701200i | ||||
\(876\) | 2.22532 | − | 2.22532i | 0.0751864 | − | 0.0751864i | ||||
\(877\) | 4.23796 | + | 1.13556i | 0.143106 | + | 0.0383451i | 0.329661 | − | 0.944099i | \(-0.393066\pi\) |
−0.186555 | + | 0.982445i | \(0.559732\pi\) | |||||||
\(878\) | 1.76677 | + | 6.59367i | 0.0596255 | + | 0.222526i | ||||
\(879\) | −15.0489 | + | 4.03234i | −0.507587 | + | 0.136007i | ||||
\(880\) | 1.39151 | − | 0.803391i | 0.0469080 | − | 0.0270823i | ||||
\(881\) | −38.4369 | −1.29497 | −0.647487 | − | 0.762077i | \(-0.724180\pi\) | ||||
−0.647487 | + | 0.762077i | \(0.724180\pi\) | |||||||
\(882\) | −30.4430 | − | 2.54532i | −1.02507 | − | 0.0857055i | ||||
\(883\) | − | 20.7346i | − | 0.697776i | −0.937164 | − | 0.348888i | \(-0.886559\pi\) | ||
0.937164 | − | 0.348888i | \(-0.113441\pi\) | |||||||
\(884\) | −3.93496 | − | 10.2667i | −0.132347 | − | 0.345307i | ||||
\(885\) | 0.0770063 | + | 0.0444596i | 0.00258854 | + | 0.00149449i | ||||
\(886\) | 9.46499 | + | 35.3238i | 0.317983 | + | 1.18673i | ||||
\(887\) | 36.7173 | − | 21.1987i | 1.23285 | − | 0.711784i | 0.265223 | − | 0.964187i | \(-0.414554\pi\) |
0.967622 | + | 0.252403i | \(0.0812210\pi\) | |||||||
\(888\) | −4.60488 | −0.154530 | ||||||||
\(889\) | 0.395379 | + | 0.562352i | 0.0132606 | + | 0.0188607i | ||||
\(890\) | 0.720863 | − | 0.720863i | 0.0241634 | − | 0.0241634i | ||||
\(891\) | −7.41815 | + | 27.6849i | −0.248517 | + | 0.927479i | ||||
\(892\) | 3.71169 | + | 13.8522i | 0.124276 | + | 0.463806i | ||||
\(893\) | −7.65627 | + | 13.2611i | −0.256207 | + | 0.443764i | ||||
\(894\) | −1.35535 | − | 2.34753i | −0.0453297 | − | 0.0785133i | ||||
\(895\) | −0.326745 | + | 0.326745i | −0.0109219 | + | 0.0109219i | ||||
\(896\) | −12.4184 | − | 33.9159i | −0.414869 | − | 1.13305i | ||||
\(897\) | 0.248572 | − | 1.56420i | 0.00829957 | − | 0.0522273i | ||||
\(898\) | −8.09936 | − | 14.0285i | −0.270279 | − | 0.468137i | ||||
\(899\) | −0.488812 | + | 0.130977i | −0.0163028 | + | 0.00436832i | ||||
\(900\) | 3.60090 | − | 6.23694i | 0.120030 | − | 0.207898i | ||||
\(901\) | −30.5937 | − | 52.9899i | −1.01922 | − | 1.76535i | ||||
\(902\) | 51.7784 | + | 51.7784i | 1.72403 | + | 1.72403i | ||||
\(903\) | −0.315186 | − | 3.52441i | −0.0104887 | − | 0.117285i | ||||
\(904\) | 9.99170 | + | 9.99170i | 0.332319 | + | 0.332319i | ||||
\(905\) | 0.282363 | − | 1.05379i | 0.00938607 | − | 0.0350293i | ||||
\(906\) | 11.2748 | + | 6.50952i | 0.374581 | + | 0.216264i | ||||
\(907\) | 51.6892 | + | 29.8428i | 1.71631 | + | 0.990912i | 0.925410 | + | 0.378968i | \(0.123721\pi\) |
0.790901 | + | 0.611944i | \(0.209612\pi\) | |||||||
\(908\) | 1.75823 | + | 0.471117i | 0.0583490 | + | 0.0156346i | ||||
\(909\) | 30.8137 | 1.02203 | ||||||||
\(910\) | 1.20426 | + | 0.0825034i | 0.0399208 | + | 0.00273496i | ||||
\(911\) | −21.0872 | −0.698649 | −0.349325 | − | 0.937002i | \(-0.613589\pi\) | ||||
−0.349325 | + | 0.937002i | \(0.613589\pi\) | |||||||
\(912\) | −12.2919 | − | 3.29361i | −0.407027 | − | 0.109062i | ||||
\(913\) | −25.4339 | − | 14.6842i | −0.841738 | − | 0.485977i | ||||
\(914\) | −21.4661 | − | 12.3935i | −0.710037 | − | 0.409940i | ||||
\(915\) | −0.0435799 | + | 0.162642i | −0.00144071 | + | 0.00537679i | ||||
\(916\) | 7.15728 | + | 7.15728i | 0.236483 | + | 0.236483i | ||||
\(917\) | −0.873415 | + | 1.88250i | −0.0288427 | + | 0.0621656i | ||||
\(918\) | 18.8830 | + | 18.8830i | 0.623232 | + | 0.623232i | ||||
\(919\) | −7.62853 | − | 13.2130i | −0.251642 | − | 0.435857i | 0.712336 | − | 0.701839i | \(-0.247637\pi\) |
−0.963978 | + | 0.265982i | \(0.914304\pi\) | |||||||
\(920\) | −0.0813936 | + | 0.140978i | −0.00268347 | + | 0.00464790i | ||||
\(921\) | −1.71663 | + | 0.459970i | −0.0565649 | + | 0.0151565i | ||||
\(922\) | 11.5565 | + | 20.0165i | 0.380595 | + | 0.659209i | ||||
\(923\) | 10.9527 | + | 15.0914i | 0.360511 | + | 0.496739i | ||||
\(924\) | −2.91308 | − | 0.507873i | −0.0958332 | − | 0.0167078i | ||||
\(925\) | 13.7764 | − | 13.7764i | 0.452966 | − | 0.452966i | ||||
\(926\) | −17.1370 | − | 29.6822i | −0.563158 | − | 0.975418i | ||||
\(927\) | −13.2582 | + | 22.9639i | −0.435457 | + | 0.754233i | ||||
\(928\) | −0.272243 | − | 1.01602i | −0.00893681 | − | 0.0333526i | ||||
\(929\) | −2.56954 | + | 9.58965i | −0.0843039 | + | 0.314626i | −0.995181 | − | 0.0980503i | \(-0.968739\pi\) |
0.910878 | + | 0.412677i | \(0.135406\pi\) | |||||||
\(930\) | 0.0628591 | − | 0.0628591i | 0.00206123 | − | 0.00206123i | ||||
\(931\) | −30.4292 | − | 21.1326i | −0.997275 | − | 0.692591i | ||||
\(932\) | −2.71470 | −0.0889230 | ||||||||
\(933\) | 13.2194 | − | 7.63225i | 0.432785 | − | 0.249869i | ||||
\(934\) | −7.32627 | − | 27.3420i | −0.239723 | − | 0.894658i | ||||
\(935\) | −1.69248 | − | 0.977151i | −0.0553499 | − | 0.0319563i | ||||
\(936\) | −21.1963 | − | 9.45030i | −0.692823 | − | 0.308893i | ||||
\(937\) | 55.6823i | 1.81906i | 0.415636 | + | 0.909531i | \(0.363559\pi\) | ||||
−0.415636 | + | 0.909531i | \(0.636441\pi\) | |||||||
\(938\) | 24.4570 | + | 34.7854i | 0.798548 | + | 1.13578i | ||||
\(939\) | 9.80591 | 0.320004 | ||||||||
\(940\) | 0.104774 | − | 0.0604911i | 0.00341734 | − | 0.00197300i | ||||
\(941\) | 13.8086 | − | 3.70000i | 0.450147 | − | 0.120616i | −0.0266213 | − | 0.999646i | \(-0.508475\pi\) |
0.476768 | + | 0.879029i | \(0.341808\pi\) | |||||||
\(942\) | 3.98090 | + | 14.8569i | 0.129705 | + | 0.484065i | ||||
\(943\) | −9.18670 | − | 2.46157i | −0.299160 | − | 0.0801597i | ||||
\(944\) | −7.48592 | + | 7.48592i | −0.243646 | + | 0.243646i | ||||
\(945\) | −0.572515 | + | 0.209628i | −0.0186239 | + | 0.00681919i | ||||
\(946\) | 17.8351i | 0.579870i | ||||||||
\(947\) | 6.44026 | − | 24.0354i | 0.209280 | − | 0.781044i | −0.778822 | − | 0.627245i | \(-0.784182\pi\) |
0.988102 | − | 0.153799i | \(-0.0491509\pi\) | |||||||
\(948\) | 1.13099 | − | 1.95893i | 0.0367328 | − | 0.0636231i | ||||
\(949\) | 42.6743 | − | 4.46302i | 1.38527 | − | 0.144876i | ||||
\(950\) | 36.3707 | − | 20.9986i | 1.18002 | − | 0.681286i | ||||
\(951\) | 1.78517 | + | 1.78517i | 0.0578881 | + | 0.0578881i | ||||
\(952\) | −23.0928 | + | 27.6288i | −0.748442 | + | 0.895455i | ||||
\(953\) | − | 0.410134i | − | 0.0132855i | −0.999978 | − | 0.00664276i | \(-0.997886\pi\) | ||
0.999978 | − | 0.00664276i | \(-0.00211447\pi\) | |||||||
\(954\) | 44.4168 | + | 11.9014i | 1.43805 | + | 0.385323i | ||||
\(955\) | −0.650498 | + | 0.174300i | −0.0210496 | + | 0.00564023i | ||||
\(956\) | 4.91780 | − | 1.31772i | 0.159053 | − | 0.0426181i | ||||
\(957\) | 0.745773 | + | 0.199829i | 0.0241074 | + | 0.00645956i | ||||
\(958\) | 40.2722i | 1.30113i | ||||||||
\(959\) | −23.4069 | + | 28.0046i | −0.755848 | + | 0.904316i | ||||
\(960\) | −0.140116 | − | 0.140116i | −0.00452223 | − | 0.00452223i | ||||
\(961\) | −25.1614 | + | 14.5270i | −0.811659 | + | 0.468612i | ||||
\(962\) | 17.3647 | + | 14.0765i | 0.559860 | + | 0.453843i | ||||
\(963\) | 24.2068 | − | 41.9275i | 0.780055 | − | 1.35109i | ||||
\(964\) | 0.303880 | − | 1.13410i | 0.00978733 | − | 0.0365268i | ||||
\(965\) | − | 0.0393184i | − | 0.00126570i | ||||||
\(966\) | 1.73424 | − | 0.634995i | 0.0557981 | − | 0.0204306i | ||||
\(967\) | 24.7994 | − | 24.7994i | 0.797497 | − | 0.797497i | −0.185204 | − | 0.982700i | \(-0.559294\pi\) |
0.982700 | + | 0.185204i | \(0.0592945\pi\) | |||||||
\(968\) | −15.5326 | − | 4.16194i | −0.499236 | − | 0.133770i | ||||
\(969\) | 4.00597 | + | 14.9505i | 0.128690 | + | 0.480278i | ||||
\(970\) | 1.04425 | − | 0.279805i | 0.0335287 | − | 0.00898400i | ||||
\(971\) | −12.5905 | + | 7.26911i | −0.404047 | + | 0.233277i | −0.688229 | − | 0.725494i | \(-0.741612\pi\) |
0.284182 | + | 0.958770i | \(0.408278\pi\) | |||||||
\(972\) | −6.35242 | −0.203754 | ||||||||
\(973\) | −4.76268 | − | 6.77401i | −0.152684 | − | 0.217165i | ||||
\(974\) | − | 53.0471i | − | 1.69974i | ||||||
\(975\) | −8.46674 | + | 3.24507i | −0.271153 | + | 0.103926i | ||||
\(976\) | −17.3614 | − | 10.0236i | −0.555725 | − | 0.320848i | ||||
\(977\) | 8.88774 | + | 33.1695i | 0.284344 | + | 1.06119i | 0.949317 | + | 0.314319i | \(0.101776\pi\) |
−0.664973 | + | 0.746867i | \(0.731557\pi\) | |||||||
\(978\) | 0.861016 | − | 0.497108i | 0.0275323 | − | 0.0158958i | ||||
\(979\) | −34.0493 | −1.08822 | ||||||||
\(980\) | 0.124724 | + | 0.264804i | 0.00398416 | + | 0.00845886i | ||||
\(981\) | 26.4950 | − | 26.4950i | 0.845922 | − | 0.845922i | ||||
\(982\) | −5.96224 | + | 22.2514i | −0.190263 | + | 0.710070i | ||||
\(983\) | 5.84114 | + | 21.7994i | 0.186304 | + | 0.695294i | 0.994348 | + | 0.106172i | \(0.0338595\pi\) |
−0.808044 | + | 0.589122i | \(0.799474\pi\) | |||||||
\(984\) | 6.43461 | − | 11.1451i | 0.205128 | − | 0.355292i | ||||
\(985\) | −0.156475 | − | 0.271023i | −0.00498572 | − | 0.00863552i | ||||
\(986\) | −2.36705 | + | 2.36705i | −0.0753821 | + | 0.0753821i | ||||
\(987\) | 3.79771 | + | 0.662101i | 0.120882 | + | 0.0210749i | ||||
\(988\) | 5.88578 | + | 8.10987i | 0.187252 | + | 0.258009i | ||||
\(989\) | −1.15824 | − | 2.00613i | −0.0368298 | − | 0.0637911i | ||||
\(990\) | 1.41865 | − | 0.380127i | 0.0450878 | − | 0.0120812i | ||||
\(991\) | 28.4614 | − | 49.2966i | 0.904106 | − | 1.56596i | 0.0819923 | − | 0.996633i | \(-0.473872\pi\) |
0.822113 | − | 0.569324i | \(-0.192795\pi\) | |||||||
\(992\) | 2.02251 | + | 3.50309i | 0.0642148 | + | 0.111223i | ||||
\(993\) | −6.82955 | − | 6.82955i | −0.216729 | − | 0.216729i | ||||
\(994\) | −9.15120 | + | 19.7239i | −0.290258 | + | 0.625604i | ||||
\(995\) | −0.904515 | − | 0.904515i | −0.0286751 | − | 0.0286751i | ||||
\(996\) | 0.475632 | − | 1.77508i | 0.0150710 | − | 0.0562457i | ||||
\(997\) | 20.0782 | + | 11.5922i | 0.635884 | + | 0.367128i | 0.783027 | − | 0.621987i | \(-0.213674\pi\) |
−0.147143 | + | 0.989115i | \(0.547008\pi\) | |||||||
\(998\) | −13.6136 | − | 7.85984i | −0.430932 | − | 0.248799i | ||||
\(999\) | −10.9058 | − | 2.92221i | −0.345046 | − | 0.0924547i |
(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 | 91.2.bb.a.31.7 | yes | 32 | |
3.2 | odd | 2 | 819.2.fn.e.577.2 | 32 | |||
7.2 | even | 3 | 637.2.bc.b.460.2 | 32 | |||
7.3 | odd | 6 | 637.2.i.a.538.4 | 32 | |||
7.4 | even | 3 | 637.2.i.a.538.3 | 32 | |||
7.5 | odd | 6 | inner | 91.2.bb.a.5.2 | ✓ | 32 | |
7.6 | odd | 2 | 637.2.bc.b.31.7 | 32 | |||
13.8 | odd | 4 | inner | 91.2.bb.a.73.2 | yes | 32 | |
21.5 | even | 6 | 819.2.fn.e.460.7 | 32 | |||
39.8 | even | 4 | 819.2.fn.e.73.7 | 32 | |||
91.34 | even | 4 | 637.2.bc.b.619.2 | 32 | |||
91.47 | even | 12 | inner | 91.2.bb.a.47.7 | yes | 32 | |
91.60 | odd | 12 | 637.2.i.a.489.3 | 32 | |||
91.73 | even | 12 | 637.2.i.a.489.4 | 32 | |||
91.86 | odd | 12 | 637.2.bc.b.411.7 | 32 | |||
273.47 | odd | 12 | 819.2.fn.e.775.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.2 | ✓ | 32 | 7.5 | odd | 6 | inner | |
91.2.bb.a.31.7 | yes | 32 | 1.1 | even | 1 | trivial | |
91.2.bb.a.47.7 | yes | 32 | 91.47 | even | 12 | inner | |
91.2.bb.a.73.2 | yes | 32 | 13.8 | odd | 4 | inner | |
637.2.i.a.489.3 | 32 | 91.60 | odd | 12 | |||
637.2.i.a.489.4 | 32 | 91.73 | even | 12 | |||
637.2.i.a.538.3 | 32 | 7.4 | even | 3 | |||
637.2.i.a.538.4 | 32 | 7.3 | odd | 6 | |||
637.2.bc.b.31.7 | 32 | 7.6 | odd | 2 | |||
637.2.bc.b.411.7 | 32 | 91.86 | odd | 12 | |||
637.2.bc.b.460.2 | 32 | 7.2 | even | 3 | |||
637.2.bc.b.619.2 | 32 | 91.34 | even | 4 | |||
819.2.fn.e.73.7 | 32 | 39.8 | even | 4 | |||
819.2.fn.e.460.7 | 32 | 21.5 | even | 6 | |||
819.2.fn.e.577.2 | 32 | 3.2 | odd | 2 | |||
819.2.fn.e.775.2 | 32 | 273.47 | odd | 12 |