Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 515.36 | ||
Character | \(\chi\) | \(=\) | 546.515 |
Dual form | 546.2.bv.a.317.36 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | 1.70468 | + | 0.306679i | 0.984200 | + | 0.177061i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −1.82490 | − | 0.488980i | −0.816119 | − | 0.218678i | −0.173470 | − | 0.984839i | \(-0.555498\pi\) |
−0.642649 | + | 0.766161i | \(0.722165\pi\) | |||||||
\(6\) | 1.56722 | + | 0.737434i | 0.639817 | + | 0.301056i | ||||
\(7\) | 2.57215 | − | 0.619719i | 0.972181 | − | 0.234232i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 2.81190 | + | 1.04558i | 0.937299 | + | 0.348527i | ||||
\(10\) | −1.63616 | − | 0.944637i | −0.517399 | − | 0.298720i | ||||
\(11\) | −1.71267 | + | 0.458908i | −0.516388 | + | 0.138366i | −0.507596 | − | 0.861595i | \(-0.669466\pi\) |
−0.00879290 | + | 0.999961i | \(0.502799\pi\) | |||||||
\(12\) | 1.32296 | + | 1.11793i | 0.381906 | + | 0.322720i | ||||
\(13\) | 1.62200 | + | 3.22011i | 0.449861 | + | 0.893098i | ||||
\(14\) | 2.64490 | + | 0.0671181i | 0.706879 | + | 0.0179381i | ||||
\(15\) | −2.96091 | − | 1.39321i | −0.764505 | − | 0.359726i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 2.01432 | − | 3.48891i | 0.488545 | − | 0.846186i | −0.511368 | − | 0.859362i | \(-0.670861\pi\) |
0.999913 | + | 0.0131764i | \(0.00419430\pi\) | |||||||
\(18\) | 2.44547 | + | 1.73773i | 0.576402 | + | 0.409586i | ||||
\(19\) | −0.854328 | + | 3.18839i | −0.195996 | + | 0.731468i | 0.796011 | + | 0.605283i | \(0.206940\pi\) |
−0.992007 | + | 0.126185i | \(0.959727\pi\) | |||||||
\(20\) | −1.33592 | − | 1.33592i | −0.298720 | − | 0.298720i | ||||
\(21\) | 4.57476 | − | 0.267603i | 0.998294 | − | 0.0583957i | ||||
\(22\) | −1.77308 | −0.378023 | ||||||||
\(23\) | −3.75204 | − | 6.49873i | −0.782355 | − | 1.35508i | −0.930566 | − | 0.366123i | \(-0.880685\pi\) |
0.148211 | − | 0.988956i | \(-0.452648\pi\) | |||||||
\(24\) | 0.988539 | + | 1.42225i | 0.201785 | + | 0.290315i | ||||
\(25\) | −1.23898 | − | 0.715324i | −0.247795 | − | 0.143065i | ||||
\(26\) | 0.733303 | + | 3.53019i | 0.143813 | + | 0.692328i | ||||
\(27\) | 4.47274 | + | 2.64473i | 0.860779 | + | 0.508979i | ||||
\(28\) | 2.53741 | + | 0.749382i | 0.479525 | + | 0.141620i | ||||
\(29\) | 2.36532i | 0.439230i | 0.975587 | + | 0.219615i | \(0.0704800\pi\) | ||||
−0.975587 | + | 0.219615i | \(0.929520\pi\) | |||||||
\(30\) | −2.49943 | − | 2.11208i | −0.456332 | − | 0.385612i | ||||
\(31\) | 7.49138 | − | 2.00731i | 1.34549 | − | 0.360523i | 0.487023 | − | 0.873389i | \(-0.338083\pi\) |
0.858469 | + | 0.512866i | \(0.171416\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −3.06029 | + | 0.257054i | −0.532729 | + | 0.0447474i | ||||
\(34\) | 2.84869 | − | 2.84869i | 0.488545 | − | 0.488545i | ||||
\(35\) | −4.99694 | − | 0.126804i | −0.844637 | − | 0.0214338i | ||||
\(36\) | 1.91238 | + | 2.31145i | 0.318731 | + | 0.385241i | ||||
\(37\) | −7.18011 | − | 1.92390i | −1.18040 | − | 0.316288i | −0.385316 | − | 0.922785i | \(-0.625908\pi\) |
−0.795086 | + | 0.606497i | \(0.792574\pi\) | |||||||
\(38\) | −1.65043 | + | 2.85864i | −0.267736 | + | 0.463732i | ||||
\(39\) | 1.77745 | + | 5.98671i | 0.284620 | + | 0.958640i | ||||
\(40\) | −0.944637 | − | 1.63616i | −0.149360 | − | 0.258699i | ||||
\(41\) | −1.16845 | + | 1.16845i | −0.182481 | + | 0.182481i | −0.792436 | − | 0.609955i | \(-0.791188\pi\) |
0.609955 | + | 0.792436i | \(0.291188\pi\) | |||||||
\(42\) | 4.48814 | + | 0.925549i | 0.692534 | + | 0.142815i | ||||
\(43\) | 1.15824i | 0.176630i | 0.996093 | + | 0.0883149i | \(0.0281482\pi\) | ||||
−0.996093 | + | 0.0883149i | \(0.971852\pi\) | |||||||
\(44\) | −1.71267 | − | 0.458908i | −0.258194 | − | 0.0691829i | ||||
\(45\) | −4.62016 | − | 3.28304i | −0.688732 | − | 0.489406i | ||||
\(46\) | −1.94220 | − | 7.24839i | −0.286362 | − | 1.06872i | ||||
\(47\) | −2.55755 | + | 9.54491i | −0.373057 | + | 1.39227i | 0.483106 | + | 0.875562i | \(0.339509\pi\) |
−0.856163 | + | 0.516706i | \(0.827158\pi\) | |||||||
\(48\) | 0.586751 | + | 1.62964i | 0.0846902 | + | 0.235218i | ||||
\(49\) | 6.23190 | − | 3.18802i | 0.890271 | − | 0.455432i | ||||
\(50\) | −1.01162 | − | 1.01162i | −0.143065 | − | 0.143065i | ||||
\(51\) | 4.50376 | − | 5.32974i | 0.630653 | − | 0.746313i | ||||
\(52\) | −0.205365 | + | 3.59970i | −0.0284790 | + | 0.499188i | ||||
\(53\) | −8.17176 | − | 4.71797i | −1.12248 | − | 0.648063i | −0.180445 | − | 0.983585i | \(-0.557754\pi\) |
−0.942032 | + | 0.335522i | \(0.891087\pi\) | |||||||
\(54\) | 3.63583 | + | 3.71225i | 0.494773 | + | 0.505173i | ||||
\(55\) | 3.34984 | 0.451692 | ||||||||
\(56\) | 2.25699 | + | 1.38058i | 0.301603 | + | 0.184487i | ||||
\(57\) | −2.43417 | + | 5.17320i | −0.322414 | + | 0.685207i | ||||
\(58\) | −0.612191 | + | 2.28473i | −0.0803846 | + | 0.299999i | ||||
\(59\) | −12.1981 | + | 3.26848i | −1.58806 | + | 0.425520i | −0.941410 | − | 0.337265i | \(-0.890498\pi\) |
−0.646652 | + | 0.762785i | \(0.723831\pi\) | |||||||
\(60\) | −1.86762 | − | 2.68702i | −0.241109 | − | 0.346892i | ||||
\(61\) | −5.96460 | − | 10.3310i | −0.763689 | − | 1.32275i | −0.940937 | − | 0.338581i | \(-0.890053\pi\) |
0.177249 | − | 0.984166i | \(-0.443280\pi\) | |||||||
\(62\) | 7.75565 | 0.984968 | ||||||||
\(63\) | 7.88058 | + | 0.946802i | 0.992860 | + | 0.119286i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −1.38541 | − | 6.66950i | −0.171839 | − | 0.827250i | ||||
\(66\) | −3.02255 | − | 0.543767i | −0.372050 | − | 0.0669331i | ||||
\(67\) | −10.6271 | + | 2.84753i | −1.29831 | + | 0.347881i | −0.840810 | − | 0.541330i | \(-0.817921\pi\) |
−0.457498 | + | 0.889211i | \(0.651254\pi\) | |||||||
\(68\) | 3.48891 | − | 2.01432i | 0.423093 | − | 0.244273i | ||||
\(69\) | −4.40303 | − | 12.2290i | −0.530062 | − | 1.47219i | ||||
\(70\) | −4.79385 | − | 1.41579i | −0.572975 | − | 0.169219i | ||||
\(71\) | 1.54553 | − | 1.54553i | 0.183421 | − | 0.183421i | −0.609424 | − | 0.792845i | \(-0.708599\pi\) |
0.792845 | + | 0.609424i | \(0.208599\pi\) | |||||||
\(72\) | 1.24897 | + | 2.72765i | 0.147193 | + | 0.321456i | ||||
\(73\) | 0.439791 | + | 1.64132i | 0.0514736 | + | 0.192102i | 0.986875 | − | 0.161485i | \(-0.0516284\pi\) |
−0.935402 | + | 0.353587i | \(0.884962\pi\) | |||||||
\(74\) | −6.43751 | − | 3.71670i | −0.748345 | − | 0.432057i | ||||
\(75\) | −1.89269 | − | 1.59937i | −0.218549 | − | 0.184679i | ||||
\(76\) | −2.33407 | + | 2.33407i | −0.267736 | + | 0.267736i | ||||
\(77\) | −4.12084 | + | 2.24175i | −0.469613 | + | 0.255471i | ||||
\(78\) | 0.167415 | + | 6.24275i | 0.0189560 | + | 0.706853i | ||||
\(79\) | −3.34611 | − | 5.79563i | −0.376467 | − | 0.652059i | 0.614079 | − | 0.789245i | \(-0.289528\pi\) |
−0.990545 | + | 0.137185i | \(0.956194\pi\) | |||||||
\(80\) | −0.488980 | − | 1.82490i | −0.0546696 | − | 0.204030i | ||||
\(81\) | 6.81352 | + | 5.88013i | 0.757058 | + | 0.653348i | ||||
\(82\) | −1.43105 | + | 0.826218i | −0.158033 | + | 0.0912405i | ||||
\(83\) | 4.17139 | − | 4.17139i | 0.457869 | − | 0.457869i | −0.440086 | − | 0.897956i | \(-0.645052\pi\) |
0.897956 | + | 0.440086i | \(0.145052\pi\) | |||||||
\(84\) | 4.09566 | + | 2.05563i | 0.446873 | + | 0.224287i | ||||
\(85\) | −5.38194 | + | 5.38194i | −0.583754 | + | 0.583754i | ||||
\(86\) | −0.299774 | + | 1.11877i | −0.0323255 | + | 0.120640i | ||||
\(87\) | −0.725394 | + | 4.03213i | −0.0777704 | + | 0.432290i | ||||
\(88\) | −1.53553 | − | 0.886542i | −0.163689 | − | 0.0945056i | ||||
\(89\) | 0.853770 | − | 3.18631i | 0.0904994 | − | 0.337748i | −0.905799 | − | 0.423707i | \(-0.860729\pi\) |
0.996299 | + | 0.0859586i | \(0.0273953\pi\) | |||||||
\(90\) | −3.61301 | − | 4.36696i | −0.380845 | − | 0.460318i | ||||
\(91\) | 6.16759 | + | 7.27742i | 0.646539 | + | 0.762881i | ||||
\(92\) | − | 7.50409i | − | 0.782355i | ||||||
\(93\) | 13.3860 | − | 1.12438i | 1.38807 | − | 0.116593i | ||||
\(94\) | −4.94081 | + | 8.55773i | −0.509605 | + | 0.882662i | ||||
\(95\) | 3.11812 | − | 5.40074i | 0.319912 | − | 0.554105i | ||||
\(96\) | 0.144976 | + | 1.72597i | 0.0147965 | + | 0.176156i | ||||
\(97\) | 5.14678 | + | 5.14678i | 0.522576 | + | 0.522576i | 0.918349 | − | 0.395772i | \(-0.129523\pi\) |
−0.395772 | + | 0.918349i | \(0.629523\pi\) | |||||||
\(98\) | 6.84467 | − | 1.46646i | 0.691416 | − | 0.148135i | ||||
\(99\) | −5.29567 | − | 0.500330i | −0.532234 | − | 0.0502851i | ||||
\(100\) | −0.715324 | − | 1.23898i | −0.0715324 | − | 0.123898i | ||||
\(101\) | 1.23524 | − | 2.13950i | 0.122911 | − | 0.212888i | −0.798003 | − | 0.602653i | \(-0.794110\pi\) |
0.920914 | + | 0.389765i | \(0.127444\pi\) | |||||||
\(102\) | 5.72974 | − | 3.98248i | 0.567329 | − | 0.394324i | ||||
\(103\) | 2.64117 | − | 1.52488i | 0.260242 | − | 0.150251i | −0.364203 | − | 0.931320i | \(-0.618659\pi\) |
0.624445 | + | 0.781069i | \(0.285325\pi\) | |||||||
\(104\) | −1.13004 | + | 3.42389i | −0.110809 | + | 0.335740i | ||||
\(105\) | −8.47931 | − | 1.74862i | −0.827496 | − | 0.170647i | ||||
\(106\) | −6.67222 | − | 6.67222i | −0.648063 | − | 0.648063i | ||||
\(107\) | 13.5598 | − | 7.82877i | 1.31088 | − | 0.756836i | 0.328636 | − | 0.944457i | \(-0.393411\pi\) |
0.982242 | + | 0.187621i | \(0.0600776\pi\) | |||||||
\(108\) | 2.55114 | + | 4.52678i | 0.245483 | + | 0.435589i | ||||
\(109\) | 4.88654 | − | 1.30934i | 0.468045 | − | 0.125412i | −0.0170853 | − | 0.999854i | \(-0.505439\pi\) |
0.485131 | + | 0.874442i | \(0.338772\pi\) | |||||||
\(110\) | 3.23570 | + | 0.867002i | 0.308511 | + | 0.0826654i | ||||
\(111\) | −11.6498 | − | 5.48163i | −1.10575 | − | 0.520294i | ||||
\(112\) | 1.82277 | + | 1.91769i | 0.172235 | + | 0.181204i | ||||
\(113\) | 10.8278i | 1.01859i | 0.860592 | + | 0.509296i | \(0.170094\pi\) | ||||
−0.860592 | + | 0.509296i | \(0.829906\pi\) | |||||||
\(114\) | −3.69015 | + | 4.36692i | −0.345614 | + | 0.408999i | ||||
\(115\) | 3.66935 | + | 13.6942i | 0.342168 | + | 1.27699i | ||||
\(116\) | −1.18266 | + | 2.04843i | −0.109807 | + | 0.190192i | ||||
\(117\) | 1.19400 | + | 10.7506i | 0.110386 | + | 0.993889i | ||||
\(118\) | −12.6284 | −1.16254 | ||||||||
\(119\) | 3.01900 | − | 10.2223i | 0.276751 | − | 0.937078i | ||||
\(120\) | −1.10853 | − | 3.07883i | −0.101195 | − | 0.281058i | ||||
\(121\) | −6.80365 | + | 3.92809i | −0.618513 | + | 0.357099i | ||||
\(122\) | −3.08750 | − | 11.5227i | −0.279529 | − | 1.04322i | ||||
\(123\) | −2.35018 | + | 1.63350i | −0.211908 | + | 0.147288i | ||||
\(124\) | 7.49138 | + | 2.00731i | 0.672746 | + | 0.180262i | ||||
\(125\) | 8.59082 | + | 8.59082i | 0.768386 | + | 0.768386i | ||||
\(126\) | 7.36701 | + | 2.95418i | 0.656305 | + | 0.263180i | ||||
\(127\) | − | 19.2052i | − | 1.70419i | −0.523390 | − | 0.852093i | \(-0.675333\pi\) | ||
0.523390 | − | 0.852093i | \(-0.324667\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −0.355207 | + | 1.97443i | −0.0312743 | + | 0.173839i | ||||
\(130\) | 0.387990 | − | 6.80081i | 0.0340290 | − | 0.596471i | ||||
\(131\) | −3.71710 | + | 2.14607i | −0.324764 | + | 0.187503i | −0.653514 | − | 0.756914i | \(-0.726706\pi\) |
0.328750 | + | 0.944417i | \(0.393373\pi\) | |||||||
\(132\) | −2.77882 | − | 1.30753i | −0.241865 | − | 0.113806i | ||||
\(133\) | −0.221548 | + | 8.73047i | −0.0192106 | + | 0.757027i | ||||
\(134\) | −11.0020 | −0.950428 | ||||||||
\(135\) | −6.86907 | − | 7.01345i | −0.591195 | − | 0.603621i | ||||
\(136\) | 3.89138 | − | 1.04269i | 0.333683 | − | 0.0894100i | ||||
\(137\) | 6.46244 | − | 1.73161i | 0.552124 | − | 0.147941i | 0.0280384 | − | 0.999607i | \(-0.491074\pi\) |
0.524085 | + | 0.851666i | \(0.324407\pi\) | |||||||
\(138\) | −1.08791 | − | 12.9518i | −0.0926092 | − | 1.10253i | ||||
\(139\) | 12.9517 | 1.09855 | 0.549275 | − | 0.835642i | \(-0.314904\pi\) | ||||
0.549275 | + | 0.835642i | \(0.314904\pi\) | |||||||
\(140\) | −4.26407 | − | 2.60828i | −0.360380 | − | 0.220440i | ||||
\(141\) | −7.28703 | + | 15.4867i | −0.613679 | + | 1.30422i | ||||
\(142\) | 1.89288 | − | 1.09285i | 0.158847 | − | 0.0917103i | ||||
\(143\) | −4.25568 | − | 4.77063i | −0.355877 | − | 0.398940i | ||||
\(144\) | 0.500449 | + | 2.95796i | 0.0417041 | + | 0.246497i | ||||
\(145\) | 1.15660 | − | 4.31647i | 0.0960500 | − | 0.358464i | ||||
\(146\) | 1.69922i | 0.140629i | ||||||||
\(147\) | 11.6011 | − | 3.52338i | 0.956844 | − | 0.290603i | ||||
\(148\) | −5.25620 | − | 5.25620i | −0.432057 | − | 0.432057i | ||||
\(149\) | 1.67431 | + | 0.448629i | 0.137165 | + | 0.0367531i | 0.326748 | − | 0.945111i | \(-0.394047\pi\) |
−0.189584 | + | 0.981865i | \(0.560714\pi\) | |||||||
\(150\) | −1.41425 | − | 2.03474i | −0.115473 | − | 0.166135i | ||||
\(151\) | −1.36199 | − | 5.08300i | −0.110837 | − | 0.413648i | 0.888105 | − | 0.459641i | \(-0.152022\pi\) |
−0.998942 | + | 0.0459921i | \(0.985355\pi\) | |||||||
\(152\) | −2.85864 | + | 1.65043i | −0.231866 | + | 0.133868i | ||||
\(153\) | 9.31201 | − | 7.70432i | 0.752831 | − | 0.622858i | ||||
\(154\) | −4.56063 | + | 1.09881i | −0.367506 | + | 0.0885449i | ||||
\(155\) | −14.6525 | −1.17692 | ||||||||
\(156\) | −1.45403 | + | 6.07337i | −0.116416 | + | 0.486259i | ||||
\(157\) | −9.16996 | + | 15.8828i | −0.731843 | + | 1.26759i | 0.224252 | + | 0.974531i | \(0.428006\pi\) |
−0.956095 | + | 0.293057i | \(0.905327\pi\) | |||||||
\(158\) | −1.73207 | − | 6.46419i | −0.137796 | − | 0.514263i | ||||
\(159\) | −12.4834 | − | 10.5488i | −0.989996 | − | 0.836570i | ||||
\(160\) | − | 1.88927i | − | 0.149360i | ||||||
\(161\) | −13.6782 | − | 14.3905i | −1.07799 | − | 1.13413i | ||||
\(162\) | 5.05947 | + | 7.44324i | 0.397509 | + | 0.584796i | ||||
\(163\) | −16.4100 | − | 4.39704i | −1.28533 | − | 0.344403i | −0.449444 | − | 0.893308i | \(-0.648378\pi\) |
−0.835884 | + | 0.548906i | \(0.815045\pi\) | |||||||
\(164\) | −1.59613 | + | 0.427682i | −0.124637 | + | 0.0333964i | ||||
\(165\) | 5.71042 | + | 1.02732i | 0.444555 | + | 0.0799770i | ||||
\(166\) | 5.10889 | − | 2.94962i | 0.396527 | − | 0.228935i | ||||
\(167\) | −7.54305 | − | 7.54305i | −0.583698 | − | 0.583698i | 0.352219 | − | 0.935918i | \(-0.385427\pi\) |
−0.935918 | + | 0.352219i | \(0.885427\pi\) | |||||||
\(168\) | 3.42406 | + | 3.04562i | 0.264172 | + | 0.234974i | ||||
\(169\) | −7.73825 | + | 10.4460i | −0.595250 | + | 0.803541i | ||||
\(170\) | −6.59151 | + | 3.80561i | −0.505546 | + | 0.291877i | ||||
\(171\) | −5.73600 | + | 8.07216i | −0.438643 | + | 0.617294i | ||||
\(172\) | −0.579120 | + | 1.00306i | −0.0441575 | + | 0.0764830i | ||||
\(173\) | 7.40149 | + | 12.8198i | 0.562725 | + | 0.974668i | 0.997257 | + | 0.0740116i | \(0.0235802\pi\) |
−0.434533 | + | 0.900656i | \(0.643086\pi\) | |||||||
\(174\) | −1.74427 | + | 3.70699i | −0.132233 | + | 0.281026i | ||||
\(175\) | −3.63013 | − | 1.07210i | −0.274412 | − | 0.0810432i | ||||
\(176\) | −1.25376 | − | 1.25376i | −0.0945056 | − | 0.0945056i | ||||
\(177\) | −21.7963 | + | 1.83082i | −1.63831 | + | 0.137613i | ||||
\(178\) | 1.64936 | − | 2.85677i | 0.123624 | − | 0.214124i | ||||
\(179\) | −9.29037 | + | 16.0914i | −0.694395 | + | 1.20273i | 0.275989 | + | 0.961161i | \(0.410995\pi\) |
−0.970384 | + | 0.241567i | \(0.922339\pi\) | |||||||
\(180\) | −2.35965 | − | 5.15327i | −0.175878 | − | 0.384102i | ||||
\(181\) | − | 19.2547i | − | 1.43119i | −0.698515 | − | 0.715595i | \(-0.746156\pi\) | ||
0.698515 | − | 0.715595i | \(-0.253844\pi\) | |||||||
\(182\) | 4.07389 | + | 8.62574i | 0.301977 | + | 0.639382i | ||||
\(183\) | −6.99946 | − | 19.4403i | −0.517415 | − | 1.43707i | ||||
\(184\) | 1.94220 | − | 7.24839i | 0.143181 | − | 0.534358i | ||||
\(185\) | 12.1622 | + | 7.02186i | 0.894183 | + | 0.516257i | ||||
\(186\) | 13.2209 | + | 2.37849i | 0.969405 | + | 0.174399i | ||||
\(187\) | −1.84878 | + | 6.89973i | −0.135196 | + | 0.504558i | ||||
\(188\) | −6.98736 | + | 6.98736i | −0.509605 | + | 0.509605i | ||||
\(189\) | 13.1435 | + | 4.03080i | 0.956052 | + | 0.293198i | ||||
\(190\) | 4.40969 | − | 4.40969i | 0.319912 | − | 0.319912i | ||||
\(191\) | 13.2016 | − | 7.62196i | 0.955236 | − | 0.551506i | 0.0605325 | − | 0.998166i | \(-0.480720\pi\) |
0.894704 | + | 0.446660i | \(0.147387\pi\) | |||||||
\(192\) | −0.306679 | + | 1.70468i | −0.0221326 | + | 0.123025i | ||||
\(193\) | 5.43309 | + | 20.2766i | 0.391083 | + | 1.45954i | 0.828351 | + | 0.560209i | \(0.189279\pi\) |
−0.437269 | + | 0.899331i | \(0.644054\pi\) | |||||||
\(194\) | 3.63932 | + | 6.30349i | 0.261288 | + | 0.452565i | ||||
\(195\) | −0.316293 | − | 11.7943i | −0.0226502 | − | 0.844605i | ||||
\(196\) | 6.99099 | + | 0.355041i | 0.499356 | + | 0.0253601i | ||||
\(197\) | 7.65448 | − | 7.65448i | 0.545359 | − | 0.545359i | −0.379736 | − | 0.925095i | \(-0.623985\pi\) |
0.925095 | + | 0.379736i | \(0.123985\pi\) | |||||||
\(198\) | −4.98573 | − | 1.85390i | −0.354320 | − | 0.131751i | ||||
\(199\) | 10.0996 | + | 5.83099i | 0.715940 | + | 0.413348i | 0.813257 | − | 0.581905i | \(-0.197693\pi\) |
−0.0973164 | + | 0.995253i | \(0.531026\pi\) | |||||||
\(200\) | −0.370279 | − | 1.38190i | −0.0261827 | − | 0.0977150i | ||||
\(201\) | −18.9891 | + | 1.59502i | −1.33939 | + | 0.112504i | ||||
\(202\) | 1.74689 | − | 1.74689i | 0.122911 | − | 0.122911i | ||||
\(203\) | 1.46584 | + | 6.08396i | 0.102882 | + | 0.427011i | ||||
\(204\) | 6.56524 | − | 2.36381i | 0.459659 | − | 0.165500i | ||||
\(205\) | 2.70365 | − | 1.56095i | 0.188831 | − | 0.109022i | ||||
\(206\) | 2.94584 | − | 0.789336i | 0.205247 | − | 0.0549957i | ||||
\(207\) | −3.75541 | − | 22.1968i | −0.261019 | − | 1.54279i | ||||
\(208\) | −1.97770 | + | 3.01475i | −0.137129 | + | 0.209035i | ||||
\(209\) | − | 5.85271i | − | 0.404841i | ||||||
\(210\) | −7.73781 | − | 3.88364i | −0.533960 | − | 0.267997i | ||||
\(211\) | 9.45867 | 0.651162 | 0.325581 | − | 0.945514i | \(-0.394440\pi\) | ||||
0.325581 | + | 0.945514i | \(0.394440\pi\) | |||||||
\(212\) | −4.71797 | − | 8.17176i | −0.324031 | − | 0.561239i | ||||
\(213\) | 3.10862 | − | 2.16066i | 0.212999 | − | 0.148046i | ||||
\(214\) | 15.1240 | − | 4.05247i | 1.03386 | − | 0.277021i | ||||
\(215\) | 0.566356 | − | 2.11367i | 0.0386251 | − | 0.144151i | ||||
\(216\) | 1.29259 | + | 5.03281i | 0.0879499 | + | 0.342439i | ||||
\(217\) | 18.0250 | − | 9.80565i | 1.22361 | − | 0.665651i | ||||
\(218\) | 5.05892 | 0.342633 | ||||||||
\(219\) | 0.246346 | + | 2.93281i | 0.0166465 | + | 0.198181i | ||||
\(220\) | 2.90104 | + | 1.67492i | 0.195588 | + | 0.112923i | ||||
\(221\) | 14.5019 | + | 0.827343i | 0.975505 | + | 0.0556531i | ||||
\(222\) | −9.83409 | − | 8.31004i | −0.660021 | − | 0.557733i | ||||
\(223\) | 8.24792 | + | 8.24792i | 0.552321 | + | 0.552321i | 0.927110 | − | 0.374789i | \(-0.122285\pi\) |
−0.374789 | + | 0.927110i | \(0.622285\pi\) | |||||||
\(224\) | 1.26432 | + | 2.32411i | 0.0844762 | + | 0.155286i | ||||
\(225\) | −2.73595 | − | 3.30687i | −0.182396 | − | 0.220458i | ||||
\(226\) | −2.80243 | + | 10.4588i | −0.186415 | + | 0.695711i | ||||
\(227\) | 2.40458 | + | 8.97401i | 0.159597 | + | 0.595626i | 0.998668 | + | 0.0516026i | \(0.0164329\pi\) |
−0.839070 | + | 0.544023i | \(0.816900\pi\) | |||||||
\(228\) | −4.69465 | + | 3.26304i | −0.310911 | + | 0.216100i | ||||
\(229\) | 19.3307 | + | 5.17964i | 1.27741 | + | 0.342281i | 0.832865 | − | 0.553477i | \(-0.186699\pi\) |
0.444544 | + | 0.895757i | \(0.353366\pi\) | |||||||
\(230\) | 14.1773i | 0.934821i | ||||||||
\(231\) | −7.71223 | + | 2.55770i | −0.507427 | + | 0.168285i | ||||
\(232\) | −1.67254 | + | 1.67254i | −0.109807 | + | 0.109807i | ||||
\(233\) | 11.6047 | + | 20.0999i | 0.760248 | + | 1.31679i | 0.942723 | + | 0.333577i | \(0.108256\pi\) |
−0.182475 | + | 0.983210i | \(0.558411\pi\) | |||||||
\(234\) | −1.62913 | + | 10.6933i | −0.106500 | + | 0.699041i | ||||
\(235\) | 9.33453 | − | 16.1679i | 0.608918 | − | 1.05468i | ||||
\(236\) | −12.1981 | − | 3.26848i | −0.794031 | − | 0.212760i | ||||
\(237\) | −3.92666 | − | 10.9059i | −0.255064 | − | 0.708414i | ||||
\(238\) | 5.56186 | − | 9.09263i | 0.360522 | − | 0.589387i | ||||
\(239\) | −5.31141 | + | 5.31141i | −0.343567 | + | 0.343567i | −0.857706 | − | 0.514140i | \(-0.828111\pi\) |
0.514140 | + | 0.857706i | \(0.328111\pi\) | |||||||
\(240\) | −0.273899 | − | 3.26083i | −0.0176801 | − | 0.210486i | ||||
\(241\) | 5.43462 | + | 20.2823i | 0.350075 | + | 1.30650i | 0.886570 | + | 0.462594i | \(0.153081\pi\) |
−0.536496 | + | 0.843903i | \(0.680252\pi\) | |||||||
\(242\) | −7.58848 | + | 2.03333i | −0.487806 | + | 0.130707i | ||||
\(243\) | 9.81160 | + | 12.1133i | 0.629414 | + | 0.777070i | ||||
\(244\) | − | 11.9292i | − | 0.763689i | ||||||
\(245\) | −12.9314 | + | 2.77054i | −0.826160 | + | 0.177003i | ||||
\(246\) | −2.69288 | + | 0.969568i | −0.171691 | + | 0.0618174i | ||||
\(247\) | −11.6527 | + | 2.42054i | −0.741444 | + | 0.154015i | ||||
\(248\) | 6.71659 | + | 3.87782i | 0.426504 | + | 0.246242i | ||||
\(249\) | 8.39018 | − | 5.83163i | 0.531706 | − | 0.369564i | ||||
\(250\) | 6.07462 | + | 10.5216i | 0.384193 | + | 0.665442i | ||||
\(251\) | 2.44319 | 0.154213 | 0.0771063 | − | 0.997023i | \(-0.475432\pi\) | ||||
0.0771063 | + | 0.997023i | \(0.475432\pi\) | |||||||
\(252\) | 6.35138 | + | 4.76024i | 0.400100 | + | 0.299867i | ||||
\(253\) | 9.40832 | + | 9.40832i | 0.591496 | + | 0.591496i | ||||
\(254\) | 4.97067 | − | 18.5508i | 0.311888 | − | 1.16398i | ||||
\(255\) | −10.8250 | + | 7.52399i | −0.677890 | + | 0.471170i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.17304 | − | 3.76382i | −0.135551 | − | 0.234780i | 0.790257 | − | 0.612775i | \(-0.209947\pi\) |
−0.925808 | + | 0.377995i | \(0.876614\pi\) | |||||||
\(258\) | −0.854125 | + | 1.81522i | −0.0531755 | + | 0.113011i | ||||
\(259\) | −19.6606 | − | 0.498915i | −1.22165 | − | 0.0310011i | ||||
\(260\) | 2.13495 | − | 6.46866i | 0.132404 | − | 0.401169i | ||||
\(261\) | −2.47314 | + | 6.65105i | −0.153083 | + | 0.411689i | ||||
\(262\) | −4.14588 | + | 1.11089i | −0.256134 | + | 0.0686308i | ||||
\(263\) | −9.85510 | − | 5.68984i | −0.607691 | − | 0.350851i | 0.164370 | − | 0.986399i | \(-0.447441\pi\) |
−0.772061 | + | 0.635548i | \(0.780774\pi\) | |||||||
\(264\) | −2.34572 | − | 1.98219i | −0.144369 | − | 0.121995i | ||||
\(265\) | 12.6056 | + | 12.6056i | 0.774358 | + | 0.774358i | ||||
\(266\) | −2.47361 | + | 8.37564i | −0.151667 | + | 0.513544i | ||||
\(267\) | 2.43258 | − | 5.16982i | 0.148872 | − | 0.316388i | ||||
\(268\) | −10.6271 | − | 2.84753i | −0.649154 | − | 0.173940i | ||||
\(269\) | 18.3630 | + | 10.6019i | 1.11961 | + | 0.646408i | 0.941302 | − | 0.337566i | \(-0.109604\pi\) |
0.178310 | + | 0.983974i | \(0.442937\pi\) | |||||||
\(270\) | −4.81980 | − | 8.55231i | −0.293324 | − | 0.520477i | ||||
\(271\) | −14.2899 | − | 3.82897i | −0.868051 | − | 0.232594i | −0.202806 | − | 0.979219i | \(-0.565006\pi\) |
−0.665245 | + | 0.746625i | \(0.731673\pi\) | |||||||
\(272\) | 4.02865 | 0.244273 | ||||||||
\(273\) | 8.28195 | + | 14.2972i | 0.501247 | + | 0.865304i | ||||
\(274\) | 6.69041 | 0.404183 | ||||||||
\(275\) | 2.45022 | + | 0.656535i | 0.147754 | + | 0.0395905i | ||||
\(276\) | 2.30134 | − | 12.7921i | 0.138525 | − | 0.769994i | ||||
\(277\) | −17.8363 | − | 10.2978i | −1.07168 | − | 0.618735i | −0.143040 | − | 0.989717i | \(-0.545688\pi\) |
−0.928640 | + | 0.370982i | \(0.879021\pi\) | |||||||
\(278\) | 12.5104 | + | 3.35215i | 0.750323 | + | 0.201049i | ||||
\(279\) | 23.1638 | + | 2.18849i | 1.38678 | + | 0.131022i | ||||
\(280\) | −3.44370 | − | 3.62303i | −0.205801 | − | 0.216518i | ||||
\(281\) | −8.00943 | − | 8.00943i | −0.477803 | − | 0.477803i | 0.426626 | − | 0.904428i | \(-0.359702\pi\) |
−0.904428 | + | 0.426626i | \(0.859702\pi\) | |||||||
\(282\) | −11.0470 | + | 13.0730i | −0.657839 | + | 0.778485i | ||||
\(283\) | 1.97537 | + | 1.14048i | 0.117423 | + | 0.0677945i | 0.557561 | − | 0.830136i | \(-0.311737\pi\) |
−0.440138 | + | 0.897930i | \(0.645070\pi\) | |||||||
\(284\) | 2.11123 | − | 0.565703i | 0.125279 | − | 0.0335683i | ||||
\(285\) | 6.97170 | − | 8.25030i | 0.412968 | − | 0.488706i | ||||
\(286\) | −2.87594 | − | 5.70953i | −0.170058 | − | 0.337611i | ||||
\(287\) | −2.28131 | + | 3.72954i | −0.134662 | + | 0.220148i | ||||
\(288\) | −0.282181 | + | 2.98670i | −0.0166277 | + | 0.175993i | ||||
\(289\) | 0.384992 | + | 0.666826i | 0.0226466 | + | 0.0392251i | ||||
\(290\) | 2.23437 | − | 3.87004i | 0.131207 | − | 0.227257i | ||||
\(291\) | 7.19523 | + | 10.3520i | 0.421792 | + | 0.606848i | ||||
\(292\) | −0.439791 | + | 1.64132i | −0.0257368 | + | 0.0960511i | ||||
\(293\) | 19.4879 | + | 19.4879i | 1.13850 | + | 1.13850i | 0.988720 | + | 0.149775i | \(0.0478550\pi\) |
0.149775 | + | 0.988720i | \(0.452145\pi\) | |||||||
\(294\) | 12.1177 | − | 0.400734i | 0.706720 | − | 0.0233713i | ||||
\(295\) | 23.8586 | 1.38910 | ||||||||
\(296\) | −3.71670 | − | 6.43751i | −0.216029 | − | 0.374173i | ||||
\(297\) | −8.87400 | − | 2.47697i | −0.514922 | − | 0.143729i | ||||
\(298\) | 1.50114 | + | 0.866685i | 0.0869589 | + | 0.0502057i | ||||
\(299\) | 14.8408 | − | 22.6229i | 0.858268 | − | 1.30832i | ||||
\(300\) | −0.839433 | − | 2.33144i | −0.0484647 | − | 0.134606i | ||||
\(301\) | 0.717784 | + | 2.97916i | 0.0413724 | + | 0.171716i | ||||
\(302\) | − | 5.26231i | − | 0.302812i | ||||||
\(303\) | 2.76183 | − | 3.26835i | 0.158663 | − | 0.187762i | ||||
\(304\) | −3.18839 | + | 0.854328i | −0.182867 | + | 0.0489990i | ||||
\(305\) | 5.83314 | + | 21.7696i | 0.334004 | + | 1.24652i | ||||
\(306\) | 10.9887 | − | 5.03168i | 0.628184 | − | 0.287642i | ||||
\(307\) | 4.22431 | − | 4.22431i | 0.241094 | − | 0.241094i | −0.576209 | − | 0.817303i | \(-0.695468\pi\) |
0.817303 | + | 0.576209i | \(0.195468\pi\) | |||||||
\(308\) | −4.68963 | − | 0.119006i | −0.267216 | − | 0.00678099i | ||||
\(309\) | 4.97001 | − | 1.78945i | 0.282734 | − | 0.101798i | ||||
\(310\) | −14.1533 | − | 3.79235i | −0.803851 | − | 0.215391i | ||||
\(311\) | −1.39800 | + | 2.42141i | −0.0792733 | + | 0.137305i | −0.902937 | − | 0.429774i | \(-0.858593\pi\) |
0.823663 | + | 0.567079i | \(0.191927\pi\) | |||||||
\(312\) | −2.97639 | + | 5.49009i | −0.168505 | + | 0.310815i | ||||
\(313\) | 4.51429 | + | 7.81899i | 0.255163 | + | 0.441955i | 0.964940 | − | 0.262471i | \(-0.0845375\pi\) |
−0.709777 | + | 0.704427i | \(0.751204\pi\) | |||||||
\(314\) | −12.9683 | + | 12.9683i | −0.731843 | + | 0.731843i | ||||
\(315\) | −13.9183 | − | 5.58126i | −0.784207 | − | 0.314468i | ||||
\(316\) | − | 6.69222i | − | 0.376467i | ||||||
\(317\) | −6.73660 | − | 1.80507i | −0.378365 | − | 0.101383i | 0.0646238 | − | 0.997910i | \(-0.479415\pi\) |
−0.442989 | + | 0.896527i | \(0.646082\pi\) | |||||||
\(318\) | −9.32779 | − | 13.4202i | −0.523077 | − | 0.752570i | ||||
\(319\) | −1.08547 | − | 4.05101i | −0.0607744 | − | 0.226813i | ||||
\(320\) | 0.488980 | − | 1.82490i | 0.0273348 | − | 0.102015i | ||||
\(321\) | 25.5161 | − | 9.18707i | 1.42417 | − | 0.512772i | ||||
\(322\) | −9.48760 | − | 17.4403i | −0.528723 | − | 0.971911i | ||||
\(323\) | 9.40313 | + | 9.40313i | 0.523204 | + | 0.523204i | ||||
\(324\) | 2.96062 | + | 8.49910i | 0.164479 | + | 0.472172i | ||||
\(325\) | 0.293805 | − | 5.14990i | 0.0162974 | − | 0.285665i | ||||
\(326\) | −14.7128 | − | 8.49443i | −0.814865 | − | 0.470463i | ||||
\(327\) | 8.73155 | − | 0.733421i | 0.482856 | − | 0.0405583i | ||||
\(328\) | −1.65244 | −0.0912405 | ||||||||
\(329\) | −0.663235 | + | 26.1359i | −0.0365653 | + | 1.44092i | ||||
\(330\) | 5.24995 | + | 2.47028i | 0.289000 | + | 0.135985i | ||||
\(331\) | 3.70810 | − | 13.8388i | 0.203816 | − | 0.760650i | −0.785992 | − | 0.618237i | \(-0.787847\pi\) |
0.989807 | − | 0.142413i | \(-0.0454861\pi\) | |||||||
\(332\) | 5.69822 | − | 1.52683i | 0.312731 | − | 0.0837959i | ||||
\(333\) | −18.1781 | − | 12.9172i | −0.996155 | − | 0.707858i | ||||
\(334\) | −5.33374 | − | 9.23831i | −0.291849 | − | 0.505498i | ||||
\(335\) | 20.7858 | 1.13565 | ||||||||
\(336\) | 2.51913 | + | 3.82805i | 0.137430 | + | 0.208837i | ||||
\(337\) | 1.28563i | 0.0700326i | 0.999387 | + | 0.0350163i | \(0.0111483\pi\) | ||||
−0.999387 | + | 0.0350163i | \(0.988852\pi\) | |||||||
\(338\) | −10.1782 | + | 8.08728i | −0.553621 | + | 0.439890i | ||||
\(339\) | −3.32065 | + | 18.4579i | −0.180353 | + | 1.00250i | ||||
\(340\) | −7.35187 | + | 1.96993i | −0.398711 | + | 0.106834i | ||||
\(341\) | −11.9091 | + | 6.87570i | −0.644912 | + | 0.372340i | ||||
\(342\) | −7.62978 | + | 6.31253i | −0.412571 | + | 0.341342i | ||||
\(343\) | 14.0537 | − | 12.0621i | 0.758828 | − | 0.651292i | ||||
\(344\) | −0.818999 | + | 0.818999i | −0.0441575 | + | 0.0441575i | ||||
\(345\) | 2.05536 | + | 24.4696i | 0.110657 | + | 1.31740i | ||||
\(346\) | 3.83129 | + | 14.2986i | 0.205972 | + | 0.768696i | ||||
\(347\) | 18.9998 | + | 10.9696i | 1.01997 | + | 0.588877i | 0.914094 | − | 0.405503i | \(-0.132904\pi\) |
0.105871 | + | 0.994380i | \(0.466237\pi\) | |||||||
\(348\) | −2.64427 | + | 3.12923i | −0.141748 | + | 0.167744i | ||||
\(349\) | −17.9380 | + | 17.9380i | −0.960198 | + | 0.960198i | −0.999238 | − | 0.0390397i | \(-0.987570\pi\) |
0.0390397 | + | 0.999238i | \(0.487570\pi\) | |||||||
\(350\) | −3.22896 | − | 1.97512i | −0.172595 | − | 0.105574i | ||||
\(351\) | −1.26157 | + | 18.6925i | −0.0673374 | + | 0.997730i | ||||
\(352\) | −0.886542 | − | 1.53553i | −0.0472528 | − | 0.0818443i | ||||
\(353\) | −5.94830 | − | 22.1994i | −0.316596 | − | 1.18155i | −0.922494 | − | 0.386011i | \(-0.873853\pi\) |
0.605898 | − | 0.795542i | \(-0.292814\pi\) | |||||||
\(354\) | −21.5275 | − | 3.87287i | −1.14417 | − | 0.205841i | ||||
\(355\) | −3.57617 | + | 2.06470i | −0.189803 | + | 0.109583i | ||||
\(356\) | 2.33254 | − | 2.33254i | 0.123624 | − | 0.123624i | ||||
\(357\) | 8.28140 | − | 16.5000i | 0.438298 | − | 0.873271i | ||||
\(358\) | −13.1386 | + | 13.1386i | −0.694395 | + | 0.694395i | ||||
\(359\) | 5.49845 | − | 20.5205i | 0.290197 | − | 1.08303i | −0.654761 | − | 0.755836i | \(-0.727231\pi\) |
0.944957 | − | 0.327193i | \(-0.106103\pi\) | |||||||
\(360\) | −0.945485 | − | 5.58840i | −0.0498314 | − | 0.294535i | ||||
\(361\) | 7.01850 | + | 4.05213i | 0.369395 | + | 0.213270i | ||||
\(362\) | 4.98348 | − | 18.5986i | 0.261926 | − | 0.977521i | ||||
\(363\) | −12.8027 | + | 4.60962i | −0.671969 | + | 0.241942i | ||||
\(364\) | 1.70257 | + | 9.38623i | 0.0892391 | + | 0.491972i | ||||
\(365\) | − | 3.21029i | − | 0.168034i | ||||||
\(366\) | −1.72945 | − | 20.5895i | −0.0903996 | − | 1.07623i | ||||
\(367\) | 12.2557 | − | 21.2274i | 0.639740 | − | 1.10806i | −0.345750 | − | 0.938327i | \(-0.612375\pi\) |
0.985490 | − | 0.169735i | \(-0.0542913\pi\) | |||||||
\(368\) | 3.75204 | − | 6.49873i | 0.195589 | − | 0.338770i | ||||
\(369\) | −4.50727 | + | 2.06385i | −0.234639 | + | 0.107440i | ||||
\(370\) | 9.93040 | + | 9.93040i | 0.516257 | + | 0.516257i | ||||
\(371\) | −23.9428 | − | 7.07112i | −1.24305 | − | 0.367114i | ||||
\(372\) | 12.1548 | + | 5.71927i | 0.630199 | + | 0.296531i | ||||
\(373\) | 8.95144 | + | 15.5044i | 0.463488 | + | 0.802785i | 0.999132 | − | 0.0416590i | \(-0.0132643\pi\) |
−0.535644 | + | 0.844444i | \(0.679931\pi\) | |||||||
\(374\) | −3.57156 | + | 6.18613i | −0.184681 | + | 0.319877i | ||||
\(375\) | 12.0100 | + | 17.2792i | 0.620194 | + | 0.892297i | ||||
\(376\) | −8.55773 | + | 4.94081i | −0.441331 | + | 0.254803i | ||||
\(377\) | −7.61661 | + | 3.83655i | −0.392275 | + | 0.197592i | ||||
\(378\) | 11.6524 | + | 7.29526i | 0.599337 | + | 0.375227i | ||||
\(379\) | −18.5922 | − | 18.5922i | −0.955019 | − | 0.955019i | 0.0440116 | − | 0.999031i | \(-0.485986\pi\) |
−0.999031 | + | 0.0440116i | \(0.985986\pi\) | |||||||
\(380\) | 5.40074 | − | 3.11812i | 0.277052 | − | 0.159956i | ||||
\(381\) | 5.88983 | − | 32.7388i | 0.301745 | − | 1.67726i | ||||
\(382\) | 14.7245 | − | 3.94542i | 0.753371 | − | 0.201865i | ||||
\(383\) | −20.5305 | − | 5.50114i | −1.04906 | − | 0.281095i | −0.307197 | − | 0.951646i | \(-0.599391\pi\) |
−0.741864 | + | 0.670551i | \(0.766058\pi\) | |||||||
\(384\) | −0.737434 | + | 1.56722i | −0.0376320 | + | 0.0799771i | ||||
\(385\) | 8.61628 | − | 2.07596i | 0.439126 | − | 0.105801i | ||||
\(386\) | 20.9919i | 1.06846i | ||||||||
\(387\) | −1.21103 | + | 3.25685i | −0.0615603 | + | 0.165555i | ||||
\(388\) | 1.88385 | + | 7.03063i | 0.0956381 | + | 0.356926i | ||||
\(389\) | 6.58614 | − | 11.4075i | 0.333931 | − | 0.578385i | −0.649348 | − | 0.760491i | \(-0.724958\pi\) |
0.983279 | + | 0.182106i | \(0.0582915\pi\) | |||||||
\(390\) | 2.74707 | − | 11.4742i | 0.139103 | − | 0.581021i | ||||
\(391\) | −30.2313 | −1.52886 | ||||||||
\(392\) | 6.66089 | + | 2.15234i | 0.336426 | + | 0.108710i | ||||
\(393\) | −6.99463 | + | 2.51841i | −0.352833 | + | 0.127037i | ||||
\(394\) | 9.37479 | − | 5.41253i | 0.472295 | − | 0.272680i | ||||
\(395\) | 3.27236 | + | 12.2126i | 0.164650 | + | 0.614483i | ||||
\(396\) | −4.33602 | − | 3.08113i | −0.217893 | − | 0.154833i | ||||
\(397\) | −22.5853 | − | 6.05173i | −1.13353 | − | 0.303727i | −0.357181 | − | 0.934035i | \(-0.616262\pi\) |
−0.776345 | + | 0.630308i | \(0.782929\pi\) | |||||||
\(398\) | 8.24627 | + | 8.24627i | 0.413348 | + | 0.413348i | ||||
\(399\) | −3.05512 | + | 14.8147i | −0.152947 | + | 0.741665i | ||||
\(400\) | − | 1.43065i | − | 0.0715324i | ||||||
\(401\) | 2.69059 | − | 10.0414i | 0.134362 | − | 0.501444i | −0.865638 | − | 0.500670i | \(-0.833087\pi\) |
1.00000 | 0.000774026i | \(-0.000246380\pi\) | ||||||||
\(402\) | −18.7549 | − | 3.37408i | −0.935411 | − | 0.168284i | ||||
\(403\) | 18.6148 | + | 20.8672i | 0.927267 | + | 1.03947i | ||||
\(404\) | 2.13950 | − | 1.23524i | 0.106444 | − | 0.0614555i | ||||
\(405\) | −9.55872 | − | 14.0623i | −0.474977 | − | 0.698762i | ||||
\(406\) | −0.158756 | + | 6.25604i | −0.00787892 | + | 0.310482i | ||||
\(407\) | 13.1800 | 0.653310 | ||||||||
\(408\) | 6.95334 | − | 0.584057i | 0.344242 | − | 0.0289151i | ||||
\(409\) | −2.65150 | + | 0.710467i | −0.131108 | + | 0.0351304i | −0.323776 | − | 0.946134i | \(-0.604953\pi\) |
0.192668 | + | 0.981264i | \(0.438286\pi\) | |||||||
\(410\) | 3.01553 | − | 0.808008i | 0.148926 | − | 0.0399047i | ||||
\(411\) | 11.5475 | − | 0.969949i | 0.569595 | − | 0.0478440i | ||||
\(412\) | 3.04976 | 0.150251 | ||||||||
\(413\) | −29.3499 | + | 15.9664i | −1.44421 | + | 0.785657i | ||||
\(414\) | 2.11751 | − | 22.4125i | 0.104070 | − | 1.10151i | ||||
\(415\) | −9.65208 | + | 5.57263i | −0.473802 | + | 0.273550i | ||||
\(416\) | −2.69059 | + | 2.40016i | −0.131917 | + | 0.117677i | ||||
\(417\) | 22.0786 | + | 3.97201i | 1.08119 | + | 0.194510i | ||||
\(418\) | 1.51479 | − | 5.65329i | 0.0740910 | − | 0.276511i | ||||
\(419\) | 36.6360i | 1.78979i | 0.446281 | + | 0.894893i | \(0.352748\pi\) | ||||
−0.446281 | + | 0.894893i | \(0.647252\pi\) | |||||||
\(420\) | −6.46899 | − | 5.75400i | −0.315655 | − | 0.280767i | ||||
\(421\) | −8.20942 | − | 8.20942i | −0.400103 | − | 0.400103i | 0.478167 | − | 0.878269i | \(-0.341302\pi\) |
−0.878269 | + | 0.478167i | \(0.841302\pi\) | |||||||
\(422\) | 9.13638 | + | 2.44808i | 0.444752 | + | 0.119171i | ||||
\(423\) | −17.1715 | + | 24.1652i | −0.834908 | + | 1.17495i | ||||
\(424\) | −2.44220 | − | 9.11442i | −0.118604 | − | 0.442635i | ||||
\(425\) | −4.99140 | + | 2.88179i | −0.242119 | + | 0.139787i | ||||
\(426\) | 3.56192 | − | 1.28247i | 0.172575 | − | 0.0621357i | ||||
\(427\) | −21.7441 | − | 22.8765i | −1.05227 | − | 1.10707i | ||||
\(428\) | 15.6575 | 0.756836 | ||||||||
\(429\) | −5.79153 | − | 9.43755i | −0.279618 | − | 0.455649i | ||||
\(430\) | 1.09412 | − | 1.89506i | 0.0527629 | − | 0.0913881i | ||||
\(431\) | 3.40340 | + | 12.7016i | 0.163936 | + | 0.611817i | 0.998174 | + | 0.0604118i | \(0.0192414\pi\) |
−0.834238 | + | 0.551405i | \(0.814092\pi\) | |||||||
\(432\) | −0.0540370 | + | 5.19587i | −0.00259985 | + | 0.249986i | ||||
\(433\) | − | 20.3113i | − | 0.976097i | −0.872816 | − | 0.488049i | \(-0.837709\pi\) | ||
0.872816 | − | 0.488049i | \(-0.162291\pi\) | |||||||
\(434\) | 19.9487 | − | 4.80632i | 0.957567 | − | 0.230711i | ||||
\(435\) | 3.29540 | − | 7.00352i | 0.158002 | − | 0.335793i | ||||
\(436\) | 4.88654 | + | 1.30934i | 0.234023 | + | 0.0627062i | ||||
\(437\) | 23.9260 | − | 6.41095i | 1.14453 | − | 0.306677i | ||||
\(438\) | −0.521115 | + | 2.89664i | −0.0248998 | + | 0.138407i | ||||
\(439\) | 25.1485 | − | 14.5195i | 1.20027 | − | 0.692977i | 0.239656 | − | 0.970858i | \(-0.422965\pi\) |
0.960615 | + | 0.277881i | \(0.0896321\pi\) | |||||||
\(440\) | 2.36869 | + | 2.36869i | 0.112923 | + | 0.112923i | ||||
\(441\) | 20.8568 | − | 2.44844i | 0.993180 | − | 0.116592i | ||||
\(442\) | 13.7936 | + | 4.55253i | 0.656097 | + | 0.216542i | ||||
\(443\) | 21.6793 | − | 12.5166i | 1.03002 | − | 0.594680i | 0.113026 | − | 0.993592i | \(-0.463946\pi\) |
0.916989 | + | 0.398912i | \(0.130612\pi\) | |||||||
\(444\) | −7.34820 | − | 10.5721i | −0.348730 | − | 0.501731i | ||||
\(445\) | −3.11608 | + | 5.39722i | −0.147717 | + | 0.255853i | ||||
\(446\) | 5.83216 | + | 10.1016i | 0.276161 | + | 0.478324i | ||||
\(447\) | 2.71658 | + | 1.27825i | 0.128490 | + | 0.0604589i | ||||
\(448\) | 0.619719 | + | 2.57215i | 0.0292790 | + | 0.121523i | ||||
\(449\) | 23.3615 | + | 23.3615i | 1.10250 | + | 1.10250i | 0.994109 | + | 0.108386i | \(0.0345684\pi\) |
0.108386 | + | 0.994109i | \(0.465432\pi\) | |||||||
\(450\) | −1.78684 | − | 3.90230i | −0.0842325 | − | 0.183956i | ||||
\(451\) | 1.46495 | − | 2.53737i | 0.0689820 | − | 0.119480i | ||||
\(452\) | −5.41389 | + | 9.37713i | −0.254648 | + | 0.441063i | ||||
\(453\) | −0.762908 | − | 9.08260i | −0.0358445 | − | 0.426738i | ||||
\(454\) | 9.29057i | 0.436028i | ||||||||
\(455\) | −7.69670 | − | 16.2964i | −0.360827 | − | 0.763986i | ||||
\(456\) | −5.37922 | + | 1.93679i | −0.251905 | + | 0.0906983i | ||||
\(457\) | −3.96263 | + | 14.7887i | −0.185364 | + | 0.691788i | 0.809188 | + | 0.587550i | \(0.199907\pi\) |
−0.994552 | + | 0.104239i | \(0.966759\pi\) | |||||||
\(458\) | 17.3314 | + | 10.0063i | 0.809845 | + | 0.467564i | ||||
\(459\) | 18.2368 | − | 10.2776i | 0.851220 | − | 0.479719i | ||||
\(460\) | −3.66935 | + | 13.6942i | −0.171084 | + | 0.638495i | ||||
\(461\) | 20.4542 | − | 20.4542i | 0.952648 | − | 0.952648i | −0.0462800 | − | 0.998929i | \(-0.514737\pi\) |
0.998929 | + | 0.0462800i | \(0.0147367\pi\) | |||||||
\(462\) | −8.11142 | + | 0.474482i | −0.377377 | + | 0.0220749i | ||||
\(463\) | 11.4042 | − | 11.4042i | 0.530000 | − | 0.530000i | −0.390572 | − | 0.920572i | \(-0.627723\pi\) |
0.920572 | + | 0.390572i | \(0.127723\pi\) | |||||||
\(464\) | −2.04843 | + | 1.18266i | −0.0950960 | + | 0.0549037i | ||||
\(465\) | −24.9779 | − | 4.49362i | −1.15832 | − | 0.208387i | ||||
\(466\) | 6.00702 | + | 22.4185i | 0.278270 | + | 1.03852i | ||||
\(467\) | −7.70434 | − | 13.3443i | −0.356514 | − | 0.617501i | 0.630861 | − | 0.775895i | \(-0.282702\pi\) |
−0.987376 | + | 0.158394i | \(0.949368\pi\) | |||||||
\(468\) | −4.34124 | + | 9.90725i | −0.200674 | + | 0.457963i | ||||
\(469\) | −25.5698 | + | 13.9101i | −1.18071 | + | 0.642308i | ||||
\(470\) | 13.2010 | − | 13.2010i | 0.608918 | − | 0.608918i | ||||
\(471\) | −20.5028 | + | 24.2630i | −0.944720 | + | 1.11798i | ||||
\(472\) | −10.9365 | − | 6.31422i | −0.503395 | − | 0.290636i | ||||
\(473\) | −0.531525 | − | 1.98368i | −0.0244395 | − | 0.0912096i | ||||
\(474\) | −0.970211 | − | 11.5506i | −0.0445632 | − | 0.530536i | ||||
\(475\) | 3.33923 | − | 3.33923i | 0.153214 | − | 0.153214i | ||||
\(476\) | 7.72569 | − | 7.34329i | 0.354106 | − | 0.336579i | ||||
\(477\) | −18.0451 | − | 21.8107i | −0.826230 | − | 0.998642i | ||||
\(478\) | −6.50513 | + | 3.75574i | −0.297538 | + | 0.171783i | ||||
\(479\) | −10.6367 | + | 2.85010i | −0.486004 | + | 0.130224i | −0.493497 | − | 0.869747i | \(-0.664282\pi\) |
0.00749277 | + | 0.999972i | \(0.497615\pi\) | |||||||
\(480\) | 0.579400 | − | 3.22061i | 0.0264459 | − | 0.147000i | ||||
\(481\) | −5.45093 | − | 26.2413i | −0.248541 | − | 1.19650i | ||||
\(482\) | 20.9978i | 0.956422i | ||||||||
\(483\) | −18.9038 | − | 28.7260i | −0.860151 | − | 1.30708i | ||||
\(484\) | −7.85618 | −0.357099 | ||||||||
\(485\) | −6.87568 | − | 11.9090i | −0.312208 | − | 0.540761i | ||||
\(486\) | 6.34211 | + | 14.2400i | 0.287684 | + | 0.645939i | ||||
\(487\) | −28.1534 | + | 7.54368i | −1.27575 | + | 0.341837i | −0.832232 | − | 0.554427i | \(-0.812937\pi\) |
−0.443521 | + | 0.896264i | \(0.646271\pi\) | |||||||
\(488\) | 3.08750 | − | 11.5227i | 0.139765 | − | 0.521609i | ||||
\(489\) | −26.6253 | − | 12.5282i | −1.20404 | − | 0.566543i | ||||
\(490\) | −13.2079 | − | 0.670770i | −0.596672 | − | 0.0303023i | ||||
\(491\) | 17.6204 | 0.795198 | 0.397599 | − | 0.917559i | \(-0.369844\pi\) | ||||
0.397599 | + | 0.917559i | \(0.369844\pi\) | |||||||
\(492\) | −2.85206 | + | 0.239563i | −0.128581 | + | 0.0108004i | ||||
\(493\) | 8.25241 | + | 4.76453i | 0.371670 | + | 0.214584i | ||||
\(494\) | −11.8821 | − | 0.677883i | −0.534602 | − | 0.0304994i | ||||
\(495\) | 9.41940 | + | 3.50253i | 0.423370 | + | 0.157427i | ||||
\(496\) | 5.48407 | + | 5.48407i | 0.246242 | + | 0.246242i | ||||
\(497\) | 3.01754 | − | 4.93313i | 0.135355 | − | 0.221281i | ||||
\(498\) | 9.61363 | − | 3.46138i | 0.430797 | − | 0.155108i | ||||
\(499\) | −1.57562 | + | 5.88028i | −0.0705343 | + | 0.263238i | −0.992184 | − | 0.124786i | \(-0.960175\pi\) |
0.921649 | + | 0.388024i | \(0.126842\pi\) | |||||||
\(500\) | 3.14446 | + | 11.7353i | 0.140624 | + | 0.524817i | ||||
\(501\) | −10.5452 | − | 15.1718i | −0.471126 | − | 0.677826i | ||||
\(502\) | 2.35994 | + | 0.632344i | 0.105329 | + | 0.0282229i | ||||
\(503\) | − | 38.6506i | − | 1.72334i | −0.507466 | − | 0.861671i | \(-0.669418\pi\) | ||
0.507466 | − | 0.861671i | \(-0.330582\pi\) | |||||||
\(504\) | 4.90292 | + | 6.24190i | 0.218394 | + | 0.278036i | ||||
\(505\) | −3.30036 | + | 3.30036i | −0.146864 | + | 0.146864i | ||||
\(506\) | 6.65268 | + | 11.5228i | 0.295748 | + | 0.512250i | ||||
\(507\) | −16.3948 | + | 15.4340i | −0.728120 | + | 0.685449i | ||||
\(508\) | 9.60260 | − | 16.6322i | 0.426047 | − | 0.737934i | ||||
\(509\) | −1.77675 | − | 0.476080i | −0.0787532 | − | 0.0211019i | 0.219227 | − | 0.975674i | \(-0.429646\pi\) |
−0.297981 | + | 0.954572i | \(0.596313\pi\) | |||||||
\(510\) | −12.4035 | + | 4.46589i | −0.549238 | + | 0.197753i | ||||
\(511\) | 2.14837 | + | 3.94918i | 0.0950381 | + | 0.174701i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −12.2536 | + | 12.0014i | −0.541011 | + | 0.529874i | ||||
\(514\) | −1.12485 | − | 4.19799i | −0.0496149 | − | 0.185166i | ||||
\(515\) | −5.56550 | + | 1.49127i | −0.245245 | + | 0.0657133i | ||||
\(516\) | −1.29483 | + | 1.53231i | −0.0570019 | + | 0.0674560i | ||||
\(517\) | − | 17.5209i | − | 0.770569i | ||||||
\(518\) | −18.8615 | − | 5.57045i | −0.828728 | − | 0.244751i | ||||
\(519\) | 8.68565 | + | 24.1235i | 0.381258 | + | 1.05890i | ||||
\(520\) | 3.73642 | − | 5.69568i | 0.163853 | − | 0.249772i | ||||
\(521\) | −11.5622 | − | 6.67544i | −0.506549 | − | 0.292456i | 0.224865 | − | 0.974390i | \(-0.427806\pi\) |
−0.731414 | + | 0.681934i | \(0.761139\pi\) | |||||||
\(522\) | −4.11028 | + | 5.78432i | −0.179902 | + | 0.253173i | ||||
\(523\) | −7.83685 | − | 13.5738i | −0.342681 | − | 0.593542i | 0.642248 | − | 0.766497i | \(-0.278002\pi\) |
−0.984930 | + | 0.172955i | \(0.944668\pi\) | |||||||
\(524\) | −4.29214 | −0.187503 | ||||||||
\(525\) | −5.85944 | − | 2.94088i | −0.255727 | − | 0.128350i | ||||
\(526\) | −8.04665 | − | 8.04665i | −0.350851 | − | 0.350851i | ||||
\(527\) | 8.08674 | − | 30.1801i | 0.352264 | − | 1.31467i | ||||
\(528\) | −1.75276 | − | 2.52176i | −0.0762792 | − | 0.109746i | ||||
\(529\) | −16.6557 | + | 28.8484i | −0.724159 | + | 1.25428i | ||||
\(530\) | 8.91353 | + | 15.4387i | 0.387179 | + | 0.670614i | ||||
\(531\) | −37.7174 | − | 3.56350i | −1.63679 | − | 0.154643i | ||||
\(532\) | −4.55710 | + | 7.45003i | −0.197575 | + | 0.323000i | ||||
\(533\) | −5.65776 | − | 1.86732i | −0.245065 | − | 0.0808824i | ||||
\(534\) | 3.68774 | − | 4.36407i | 0.159584 | − | 0.188852i | ||||
\(535\) | −28.5734 | + | 7.65622i | −1.23534 | + | 0.331007i | ||||
\(536\) | −9.52801 | − | 5.50100i | −0.411547 | − | 0.237607i | ||||
\(537\) | −20.7720 | + | 24.5816i | −0.896380 | + | 1.06077i | ||||
\(538\) | 14.9933 | + | 14.9933i | 0.646408 | + | 0.646408i | ||||
\(539\) | −9.21015 | + | 8.31988i | −0.396709 | + | 0.358363i | ||||
\(540\) | −2.44206 | − | 9.50836i | −0.105090 | − | 0.409175i | ||||
\(541\) | 28.0736 | + | 7.52229i | 1.20698 | + | 0.323409i | 0.805575 | − | 0.592493i | \(-0.201856\pi\) |
0.401402 | + | 0.915902i | \(0.368523\pi\) | |||||||
\(542\) | −12.8120 | − | 7.39701i | −0.550322 | − | 0.317729i | ||||
\(543\) | 5.90500 | − | 32.8232i | 0.253408 | − | 1.40858i | ||||
\(544\) | 3.89138 | + | 1.04269i | 0.166841 | + | 0.0447050i | ||||
\(545\) | −9.55767 | −0.409406 | ||||||||
\(546\) | 4.29937 | + | 15.9535i | 0.183996 | + | 0.682748i | ||||
\(547\) | −30.9427 | −1.32301 | −0.661506 | − | 0.749939i | \(-0.730083\pi\) | ||||
−0.661506 | + | 0.749939i | \(0.730083\pi\) | |||||||
\(548\) | 6.46244 | + | 1.73161i | 0.276062 | + | 0.0739706i | ||||
\(549\) | −5.96995 | − | 35.2861i | −0.254791 | − | 1.50598i | ||||
\(550\) | 2.19681 | + | 1.26833i | 0.0936722 | + | 0.0540817i | ||||
\(551\) | −7.54158 | − | 2.02076i | −0.321282 | − | 0.0860873i | ||||
\(552\) | 5.53377 | − | 11.7606i | 0.235533 | − | 0.500564i | ||||
\(553\) | −12.1984 | − | 12.8336i | −0.518727 | − | 0.545739i | ||||
\(554\) | −14.5633 | − | 14.5633i | −0.618735 | − | 0.618735i | ||||
\(555\) | 18.5793 | + | 15.6999i | 0.788646 | + | 0.666425i | ||||
\(556\) | 11.2165 | + | 6.47585i | 0.475686 | + | 0.274637i | ||||
\(557\) | −6.35250 | + | 1.70215i | −0.269164 | + | 0.0721223i | −0.390877 | − | 0.920443i | \(-0.627828\pi\) |
0.121713 | + | 0.992565i | \(0.461161\pi\) | |||||||
\(558\) | 21.8081 | + | 8.10915i | 0.923209 | + | 0.343288i | ||||
\(559\) | −3.72966 | + | 1.87866i | −0.157748 | + | 0.0794589i | ||||
\(560\) | −2.38865 | − | 4.39088i | −0.100939 | − | 0.185548i | ||||
\(561\) | −5.26758 | + | 11.1949i | −0.222398 | + | 0.472648i | ||||
\(562\) | −5.66353 | − | 9.80951i | −0.238901 | − | 0.413789i | ||||
\(563\) | −22.8101 | + | 39.5083i | −0.961332 | + | 1.66508i | −0.242169 | + | 0.970234i | \(0.577859\pi\) |
−0.719163 | + | 0.694842i | \(0.755474\pi\) | |||||||
\(564\) | −14.0541 | + | 9.76836i | −0.591785 | + | 0.411322i | ||||
\(565\) | 5.29456 | − | 19.7596i | 0.222744 | − | 0.831292i | ||||
\(566\) | 1.61288 | + | 1.61288i | 0.0677945 | + | 0.0677945i | ||||
\(567\) | 21.1694 | + | 10.9021i | 0.889032 | + | 0.457845i | ||||
\(568\) | 2.18571 | 0.0917103 | ||||||||
\(569\) | 5.55993 | + | 9.63007i | 0.233084 | + | 0.403714i | 0.958714 | − | 0.284371i | \(-0.0917849\pi\) |
−0.725630 | + | 0.688085i | \(0.758452\pi\) | |||||||
\(570\) | 8.86948 | − | 6.16477i | 0.371502 | − | 0.258214i | ||||
\(571\) | −14.9711 | − | 8.64357i | −0.626521 | − | 0.361722i | 0.152882 | − | 0.988244i | \(-0.451144\pi\) |
−0.779404 | + | 0.626522i | \(0.784478\pi\) | |||||||
\(572\) | −1.30021 | − | 6.25933i | −0.0543644 | − | 0.261716i | ||||
\(573\) | 24.8421 | − | 8.94438i | 1.03779 | − | 0.373657i | ||||
\(574\) | −3.16885 | + | 3.01201i | −0.132265 | + | 0.125719i | ||||
\(575\) | 10.7357i | 0.447710i | ||||||||
\(576\) | −1.04558 | + | 2.81190i | −0.0435659 | + | 0.117162i | ||||
\(577\) | −2.99074 | + | 0.801367i | −0.124506 | + | 0.0333613i | −0.320534 | − | 0.947237i | \(-0.603862\pi\) |
0.196028 | + | 0.980598i | \(0.437196\pi\) | |||||||
\(578\) | 0.199287 | + | 0.743748i | 0.00828923 | + | 0.0309358i | ||||
\(579\) | 3.04331 | + | 36.2314i | 0.126476 | + | 1.50572i | ||||
\(580\) | 3.15988 | − | 3.15988i | 0.131207 | − | 0.131207i | ||||
\(581\) | 8.14434 | − | 13.3145i | 0.337884 | − | 0.552380i | ||||
\(582\) | 4.27075 | + | 11.8616i | 0.177028 | + | 0.491678i | ||||
\(583\) | 16.1606 | + | 4.33022i | 0.669304 | + | 0.179340i | ||||
\(584\) | −0.849611 | + | 1.47157i | −0.0351571 | + | 0.0608940i | ||||
\(585\) | 3.07787 | − | 20.2025i | 0.127254 | − | 0.835271i | ||||
\(586\) | 13.7800 | + | 23.8677i | 0.569248 | + | 0.985966i | ||||
\(587\) | 17.5046 | − | 17.5046i | 0.722490 | − | 0.722490i | −0.246621 | − | 0.969112i | \(-0.579320\pi\) |
0.969112 | + | 0.246621i | \(0.0793204\pi\) | |||||||
\(588\) | 11.8085 | + | 2.74922i | 0.486976 | + | 0.113376i | ||||
\(589\) | 25.6004i | 1.05484i | ||||||||
\(590\) | 23.0456 | + | 6.17505i | 0.948773 | + | 0.254223i | ||||
\(591\) | 15.3959 | − | 10.7010i | 0.633304 | − | 0.440181i | ||||
\(592\) | −1.92390 | − | 7.18011i | −0.0790720 | − | 0.295101i | ||||
\(593\) | 1.20868 | − | 4.51085i | 0.0496345 | − | 0.185238i | −0.936658 | − | 0.350246i | \(-0.886098\pi\) |
0.986292 | + | 0.165007i | \(0.0527648\pi\) | |||||||
\(594\) | −7.93054 | − | 4.68933i | −0.325394 | − | 0.192406i | ||||
\(595\) | −10.5079 | + | 17.1785i | −0.430780 | + | 0.704248i | ||||
\(596\) | 1.22568 | + | 1.22568i | 0.0502057 | + | 0.0502057i | ||||
\(597\) | 15.4284 | + | 13.0373i | 0.631440 | + | 0.533582i | ||||
\(598\) | 20.1904 | − | 18.0110i | 0.825646 | − | 0.736524i | ||||
\(599\) | −30.3818 | − | 17.5409i | −1.24137 | − | 0.716703i | −0.271994 | − | 0.962299i | \(-0.587683\pi\) |
−0.969372 | + | 0.245596i | \(0.921016\pi\) | |||||||
\(600\) | −0.207409 | − | 2.46926i | −0.00846745 | − | 0.100807i | ||||
\(601\) | −31.5161 | −1.28557 | −0.642784 | − | 0.766048i | \(-0.722221\pi\) | ||||
−0.642784 | + | 0.766048i | \(0.722221\pi\) | |||||||
\(602\) | −0.0777388 | + | 3.06343i | −0.00316840 | + | 0.124856i | ||||
\(603\) | −32.8597 | − | 3.10455i | −1.33815 | − | 0.126427i | ||||
\(604\) | 1.36199 | − | 5.08300i | 0.0554184 | − | 0.206824i | ||||
\(605\) | 14.3367 | − | 3.84151i | 0.582870 | − | 0.156180i | ||||
\(606\) | 3.51364 | − | 2.44217i | 0.142732 | − | 0.0992063i | ||||
\(607\) | −4.82277 | − | 8.35328i | −0.195750 | − | 0.339049i | 0.751396 | − | 0.659851i | \(-0.229381\pi\) |
−0.947146 | + | 0.320802i | \(0.896047\pi\) | |||||||
\(608\) | −3.30087 | −0.133868 | ||||||||
\(609\) | 0.632967 | + | 10.8208i | 0.0256491 | + | 0.438480i | ||||
\(610\) | 22.5375i | 0.912517i | ||||||||
\(611\) | −34.8840 | + | 7.24622i | −1.41126 | + | 0.293151i | ||||
\(612\) | 11.9166 | − | 2.01613i | 0.481700 | − | 0.0814974i | ||||
\(613\) | 6.27588 | − | 1.68162i | 0.253480 | − | 0.0679198i | −0.129841 | − | 0.991535i | \(-0.541447\pi\) |
0.383322 | + | 0.923615i | \(0.374780\pi\) | |||||||
\(614\) | 5.17370 | − | 2.98704i | 0.208794 | − | 0.120547i | ||||
\(615\) | 5.08758 | − | 1.83178i | 0.205151 | − | 0.0738645i | ||||
\(616\) | −4.49903 | − | 1.32872i | −0.181271 | − | 0.0535355i | ||||
\(617\) | −15.3887 | + | 15.3887i | −0.619527 | + | 0.619527i | −0.945410 | − | 0.325883i | \(-0.894339\pi\) |
0.325883 | + | 0.945410i | \(0.394339\pi\) | |||||||
\(618\) | 5.26380 | − | 0.442142i | 0.211741 | − | 0.0177856i | ||||
\(619\) | −10.0159 | − | 37.3800i | −0.402575 | − | 1.50243i | −0.808485 | − | 0.588516i | \(-0.799712\pi\) |
0.405911 | − | 0.913913i | \(-0.366954\pi\) | |||||||
\(620\) | −12.6895 | − | 7.32627i | −0.509621 | − | 0.294230i | ||||
\(621\) | 0.405498 | − | 38.9903i | 0.0162721 | − | 1.56463i | ||||
\(622\) | −1.97707 | + | 1.97707i | −0.0792733 | + | 0.0792733i | ||||
\(623\) | 0.221403 | − | 8.72476i | 0.00887033 | − | 0.349550i | ||||
\(624\) | −4.29591 | + | 4.53267i | −0.171974 | + | 0.181452i | ||||
\(625\) | −7.90001 | − | 13.6832i | −0.316000 | − | 0.547328i | ||||
\(626\) | 2.33677 | + | 8.72095i | 0.0933961 | + | 0.348559i | ||||
\(627\) | 1.79490 | − | 9.97703i | 0.0716815 | − | 0.398444i | ||||
\(628\) | −15.8828 | + | 9.16996i | −0.633794 | + | 0.365921i | ||||
\(629\) | −21.1754 | + | 21.1754i | −0.844318 | + | 0.844318i | ||||
\(630\) | −11.9995 | − | 8.99340i | −0.478071 | − | 0.358306i | ||||
\(631\) | −0.880984 | + | 0.880984i | −0.0350714 | + | 0.0350714i | −0.724425 | − | 0.689354i | \(-0.757895\pi\) |
0.689354 | + | 0.724425i | \(0.257895\pi\) | |||||||
\(632\) | 1.73207 | − | 6.46419i | 0.0688982 | − | 0.257132i | ||||
\(633\) | 16.1240 | + | 2.90077i | 0.640873 | + | 0.115295i | ||||
\(634\) | −6.03987 | − | 3.48712i | −0.239874 | − | 0.138491i | ||||
\(635\) | −9.39096 | + | 35.0475i | −0.372669 | + | 1.39082i | ||||
\(636\) | −5.53654 | − | 15.3772i | −0.219538 | − | 0.609745i | ||||
\(637\) | 20.3739 | + | 14.8964i | 0.807244 | + | 0.590219i | ||||
\(638\) | − | 4.19392i | − | 0.166039i | ||||||
\(639\) | 5.96184 | − | 2.72989i | 0.235847 | − | 0.107993i | ||||
\(640\) | 0.944637 | − | 1.63616i | 0.0373400 | − | 0.0646748i | ||||
\(641\) | −20.8196 | + | 36.0606i | −0.822326 | + | 1.42431i | 0.0816205 | + | 0.996663i | \(0.473990\pi\) |
−0.903946 | + | 0.427646i | \(0.859343\pi\) | |||||||
\(642\) | 27.0245 | − | 2.26997i | 1.06657 | − | 0.0895884i | ||||
\(643\) | 6.49542 | + | 6.49542i | 0.256154 | + | 0.256154i | 0.823488 | − | 0.567334i | \(-0.192025\pi\) |
−0.567334 | + | 0.823488i | \(0.692025\pi\) | |||||||
\(644\) | −4.65043 | − | 19.3016i | −0.183253 | − | 0.760591i | ||||
\(645\) | 1.61367 | − | 3.42945i | 0.0635384 | − | 0.135034i | ||||
\(646\) | 6.64902 | + | 11.5164i | 0.261602 | + | 0.453108i | ||||
\(647\) | 12.5131 | − | 21.6734i | 0.491941 | − | 0.852068i | −0.508015 | − | 0.861348i | \(-0.669621\pi\) |
0.999957 | + | 0.00928034i | \(0.00295406\pi\) | |||||||
\(648\) | 0.660010 | + | 8.97577i | 0.0259276 | + | 0.352601i | ||||
\(649\) | 19.3914 | − | 11.1956i | 0.761179 | − | 0.439467i | ||||
\(650\) | 1.61669 | − | 4.89838i | 0.0634116 | − | 0.192130i | ||||
\(651\) | 33.7341 | − | 11.1877i | 1.32214 | − | 0.438479i | ||||
\(652\) | −12.0129 | − | 12.0129i | −0.470463 | − | 0.470463i | ||||
\(653\) | −6.96251 | + | 4.01981i | −0.272464 | + | 0.157307i | −0.630007 | − | 0.776590i | \(-0.716948\pi\) |
0.357543 | + | 0.933897i | \(0.383615\pi\) | |||||||
\(654\) | 8.62386 | + | 1.55146i | 0.337219 | + | 0.0606670i | ||||
\(655\) | 7.83271 | − | 2.09877i | 0.306049 | − | 0.0820056i | ||||
\(656\) | −1.59613 | − | 0.427682i | −0.0623185 | − | 0.0166982i | ||||
\(657\) | −0.479488 | + | 5.07506i | −0.0187066 | + | 0.197997i | ||||
\(658\) | −7.40510 | + | 25.0737i | −0.288681 | + | 0.977473i | ||||
\(659\) | − | 9.01704i | − | 0.351254i | −0.984457 | − | 0.175627i | \(-0.943805\pi\) | ||
0.984457 | − | 0.175627i | \(-0.0561953\pi\) | |||||||
\(660\) | 4.43170 | + | 3.74490i | 0.172504 | + | 0.145770i | ||||
\(661\) | −7.64816 | − | 28.5433i | −0.297479 | − | 1.11021i | −0.939228 | − | 0.343293i | \(-0.888458\pi\) |
0.641749 | − | 0.766914i | \(-0.278209\pi\) | |||||||
\(662\) | 7.16350 | − | 12.4075i | 0.278417 | − | 0.482233i | ||||
\(663\) | 24.4675 | + | 5.85779i | 0.950238 | + | 0.227498i | ||||
\(664\) | 5.89924 | 0.228935 | ||||||||
\(665\) | 4.67332 | − | 15.8239i | 0.181224 | − | 0.613623i | ||||
\(666\) | −14.2155 | − | 17.1819i | −0.550839 | − | 0.665785i | ||||
\(667\) | 15.3716 | − | 8.87480i | 0.595191 | − | 0.343633i | ||||
\(668\) | −2.76095 | − | 10.3040i | −0.106824 | − | 0.398673i | ||||
\(669\) | 11.5306 | + | 16.5896i | 0.445800 | + | 0.641389i | ||||
\(670\) | 20.0775 | + | 5.37975i | 0.775662 | + | 0.207838i | ||||
\(671\) | 14.9563 | + | 14.9563i | 0.577383 | + | 0.577383i | ||||
\(672\) | 1.44252 | + | 4.34961i | 0.0556464 | + | 0.167790i | ||||
\(673\) | − | 22.6718i | − | 0.873933i | −0.899478 | − | 0.436967i | \(-0.856053\pi\) | ||
0.899478 | − | 0.436967i | \(-0.143947\pi\) | |||||||
\(674\) | −0.332745 | + | 1.24182i | −0.0128169 | + | 0.0478332i | ||||
\(675\) | −3.64978 | − | 6.47622i | −0.140480 | − | 0.249270i | ||||
\(676\) | −11.9245 | + | 5.17740i | −0.458636 | + | 0.199131i | ||||
\(677\) | −35.2952 | + | 20.3777i | −1.35650 | + | 0.783178i | −0.989151 | − | 0.146903i | \(-0.953070\pi\) |
−0.367354 | + | 0.930081i | \(0.619736\pi\) | |||||||
\(678\) | −7.98476 | + | 16.9696i | −0.306653 | + | 0.651712i | ||||
\(679\) | 16.4278 | + | 10.0487i | 0.630443 | + | 0.385635i | ||||
\(680\) | −7.61122 | −0.291877 | ||||||||
\(681\) | 1.34691 | + | 16.0353i | 0.0516137 | + | 0.614473i | ||||
\(682\) | −13.2828 | + | 3.55913i | −0.508626 | + | 0.136286i | ||||
\(683\) | 32.6006 | − | 8.73532i | 1.24743 | − | 0.334248i | 0.426086 | − | 0.904683i | \(-0.359892\pi\) |
0.821343 | + | 0.570435i | \(0.193225\pi\) | |||||||
\(684\) | −9.00361 | + | 4.12270i | −0.344261 | + | 0.157635i | ||||
\(685\) | −12.6400 | −0.482950 | ||||||||
\(686\) | 16.6967 | − | 8.01372i | 0.637483 | − | 0.305965i | ||||
\(687\) | 31.3642 | + | 14.7580i | 1.19662 | + | 0.563052i | ||||
\(688\) | −1.00306 | + | 0.579120i | −0.0382415 | + | 0.0220787i | ||||
\(689\) | 1.93781 | − | 33.9665i | 0.0738247 | − | 1.29402i | ||||
\(690\) | −4.34787 | + | 24.1678i | −0.165520 | + | 0.920051i | ||||
\(691\) | 3.33672 | − | 12.4528i | 0.126935 | − | 0.473728i | −0.872966 | − | 0.487781i | \(-0.837807\pi\) |
0.999901 | + | 0.0140528i | \(0.00447329\pi\) | |||||||
\(692\) | 14.8030i | 0.562725i | ||||||||
\(693\) | −13.9313 | + | 1.99490i | −0.529206 | + | 0.0757801i | ||||
\(694\) | 15.5133 | + | 15.5133i | 0.588877 | + | 0.588877i | ||||
\(695\) | −23.6355 | − | 6.33312i | −0.896547 | − | 0.240229i | ||||
\(696\) | −3.36408 | + | 2.33822i | −0.127515 | + | 0.0886298i | ||||
\(697\) | 1.72298 | + | 6.43025i | 0.0652626 | + | 0.243563i | ||||
\(698\) | −21.9694 | + | 12.6841i | −0.831556 | + | 0.480099i | ||||
\(699\) | 13.6181 | + | 37.8229i | 0.515084 | + | 1.43059i | ||||
\(700\) | −2.60774 | − | 2.74353i | −0.0985632 | − | 0.103696i | ||||
\(701\) | −7.08221 | −0.267492 | −0.133746 | − | 0.991016i | \(-0.542701\pi\) | ||||
−0.133746 | + | 0.991016i | \(0.542701\pi\) | |||||||
\(702\) | −6.05655 | + | 17.7290i | −0.228590 | + | 0.669139i | ||||
\(703\) | 12.2683 | − | 21.2494i | 0.462709 | − | 0.801435i | ||||
\(704\) | −0.458908 | − | 1.71267i | −0.0172957 | − | 0.0645486i | ||||
\(705\) | 20.8708 | − | 24.6984i | 0.786039 | − | 0.930197i | ||||
\(706\) | − | 22.9825i | − | 0.864957i | ||||||
\(707\) | 1.85133 | − | 6.26861i | 0.0696265 | − | 0.235755i | ||||
\(708\) | −19.7916 | − | 9.31263i | −0.743814 | − | 0.349990i | ||||
\(709\) | 24.3392 | + | 6.52166i | 0.914076 | + | 0.244926i | 0.685052 | − | 0.728495i | \(-0.259780\pi\) |
0.229025 | + | 0.973421i | \(0.426446\pi\) | |||||||
\(710\) | −3.98869 | + | 1.06877i | −0.149693 | + | 0.0401101i | ||||
\(711\) | −3.34911 | − | 19.7953i | −0.125602 | − | 0.742383i | ||||
\(712\) | 2.85677 | − | 1.64936i | 0.107062 | − | 0.0618122i | ||||
\(713\) | −41.1529 | − | 41.1529i | −1.54119 | − | 1.54119i | ||||
\(714\) | 12.2697 | − | 13.7944i | 0.459183 | − | 0.516241i | ||||
\(715\) | 5.43343 | + | 10.7869i | 0.203199 | + | 0.403405i | ||||
\(716\) | −16.0914 | + | 9.29037i | −0.601364 | + | 0.347197i | ||||
\(717\) | −10.6832 | + | 7.42539i | −0.398971 | + | 0.277306i | ||||
\(718\) | 10.6222 | − | 18.3982i | 0.396416 | − | 0.686613i | ||||
\(719\) | 8.08257 | + | 13.9994i | 0.301429 | + | 0.522090i | 0.976460 | − | 0.215699i | \(-0.0692031\pi\) |
−0.675031 | + | 0.737789i | \(0.735870\pi\) | |||||||
\(720\) | 0.533117 | − | 5.64269i | 0.0198681 | − | 0.210291i | ||||
\(721\) | 5.84848 | − | 5.55900i | 0.217809 | − | 0.207028i | ||||
\(722\) | 5.73058 | + | 5.73058i | 0.213270 | + | 0.213270i | ||||
\(723\) | 3.04417 | + | 36.2416i | 0.113214 | + | 1.34784i | ||||
\(724\) | 9.62735 | − | 16.6751i | 0.357798 | − | 0.619724i | ||||
\(725\) | 1.69197 | − | 2.93058i | 0.0628383 | − | 0.108839i | ||||
\(726\) | −13.5595 | + | 1.13896i | −0.503242 | + | 0.0422706i | ||||
\(727\) | − | 13.8986i | − | 0.515470i | −0.966216 | − | 0.257735i | \(-0.917024\pi\) | ||
0.966216 | − | 0.257735i | \(-0.0829762\pi\) | |||||||
\(728\) | −0.784774 | + | 9.50706i | −0.0290857 | + | 0.352355i | ||||
\(729\) | 13.0108 | + | 23.6584i | 0.481881 | + | 0.876237i | ||||
\(730\) | 0.830885 | − | 3.10091i | 0.0307524 | − | 0.114770i | ||||
\(731\) | 4.04100 | + | 2.33307i | 0.149462 | + | 0.0862917i | ||||
\(732\) | 3.65843 | − | 20.3355i | 0.135219 | − | 0.751622i | ||||
\(733\) | −13.4604 | + | 50.2347i | −0.497170 | + | 1.85546i | 0.0203527 | + | 0.999793i | \(0.493521\pi\) |
−0.517522 | + | 0.855670i | \(0.673146\pi\) | |||||||
\(734\) | 17.3321 | − | 17.3321i | 0.639740 | − | 0.639740i | ||||
\(735\) | −22.8937 | + | 0.757096i | −0.844447 | + | 0.0279259i | ||||
\(736\) | 5.30619 | − | 5.30619i | 0.195589 | − | 0.195589i | ||||
\(737\) | 16.8939 | − | 9.75373i | 0.622297 | − | 0.359283i | ||||
\(738\) | −4.88785 | + | 0.826960i | −0.179924 | + | 0.0304408i | ||||
\(739\) | 10.6200 | + | 39.6342i | 0.390662 | + | 1.45797i | 0.829045 | + | 0.559181i | \(0.188884\pi\) |
−0.438384 | + | 0.898788i | \(0.644449\pi\) | |||||||
\(740\) | 7.02186 | + | 12.1622i | 0.258129 | + | 0.447092i | ||||
\(741\) | −20.6065 | + | 0.552615i | −0.756999 | + | 0.0203008i | ||||
\(742\) | −21.2968 | − | 13.0270i | −0.781831 | − | 0.478237i | ||||
\(743\) | −22.9626 | + | 22.9626i | −0.842414 | + | 0.842414i | −0.989172 | − | 0.146758i | \(-0.953116\pi\) |
0.146758 | + | 0.989172i | \(0.453116\pi\) | |||||||
\(744\) | 10.2604 | + | 8.67030i | 0.376165 | + | 0.317869i | ||||
\(745\) | −2.83607 | − | 1.63741i | −0.103906 | − | 0.0599899i | ||||
\(746\) | 4.63361 | + | 17.2929i | 0.169648 | + | 0.633137i | ||||
\(747\) | 16.0910 | − | 7.36799i | 0.588740 | − | 0.269581i | ||||
\(748\) | −5.05096 | + | 5.05096i | −0.184681 | + | 0.184681i | ||||
\(749\) | 30.0262 | − | 28.5400i | 1.09714 | − | 1.04283i | ||||
\(750\) | 7.12858 | + | 19.7989i | 0.260299 | + | 0.722953i | ||||
\(751\) | 13.1524 | − | 7.59356i | 0.479939 | − | 0.277093i | −0.240452 | − | 0.970661i | \(-0.577296\pi\) |
0.720391 | + | 0.693568i | \(0.243962\pi\) | |||||||
\(752\) | −9.54491 | + | 2.55755i | −0.348067 | + | 0.0932642i | ||||
\(753\) | 4.16486 | + | 0.749274i | 0.151776 | + | 0.0273051i | ||||
\(754\) | −8.35005 | + | 1.73450i | −0.304091 | + | 0.0631667i | ||||
\(755\) | 9.94193i | 0.361824i | ||||||||
\(756\) | 9.36724 | + | 10.0625i | 0.340683 | + | 0.365971i | ||||
\(757\) | 31.0409 | 1.12820 | 0.564100 | − | 0.825706i | \(-0.309223\pi\) | ||||
0.564100 | + | 0.825706i | \(0.309223\pi\) | |||||||
\(758\) | −13.1467 | − | 22.7708i | −0.477510 | − | 0.827071i | ||||
\(759\) | 13.1529 | + | 18.9235i | 0.477419 | + | 0.686881i | ||||
\(760\) | 6.02375 | − | 1.61406i | 0.218504 | − | 0.0585480i | ||||
\(761\) | −3.13377 | + | 11.6954i | −0.113599 | + | 0.423958i | −0.999178 | − | 0.0405307i | \(-0.987095\pi\) |
0.885579 | + | 0.464489i | \(0.153762\pi\) | |||||||
\(762\) | 14.1626 | − | 30.0989i | 0.513055 | − | 1.09037i | ||||
\(763\) | 11.7575 | − | 6.39611i | 0.425649 | − | 0.231555i | ||||
\(764\) | 15.2439 | 0.551506 | ||||||||
\(765\) | −20.7607 | + | 9.50621i | −0.750606 | + | 0.343698i | ||||
\(766\) | −18.4072 | − | 10.6274i | −0.665078 | − | 0.383983i | ||||
\(767\) | −30.3102 | − | 33.9779i | −1.09444 | − | 1.22687i | ||||
\(768\) | −1.11793 | + | 1.32296i | −0.0403400 | + | 0.0477382i | ||||
\(769\) | 8.07445 | + | 8.07445i | 0.291172 | + | 0.291172i | 0.837543 | − | 0.546371i | \(-0.183991\pi\) |
−0.546371 | + | 0.837543i | \(0.683991\pi\) | |||||||
\(770\) | 8.85999 | + | 0.224835i | 0.319292 | + | 0.00810248i | ||||
\(771\) | −2.55007 | − | 7.08254i | −0.0918384 | − | 0.255072i | ||||
\(772\) | −5.43309 | + | 20.2766i | −0.195541 | + | 0.729770i | ||||
\(773\) | 2.09730 | + | 7.82723i | 0.0754346 | + | 0.281526i | 0.993332 | − | 0.115293i | \(-0.0367807\pi\) |
−0.917897 | + | 0.396819i | \(0.870114\pi\) | |||||||
\(774\) | −2.01270 | + | 2.83244i | −0.0723451 | + | 0.101810i | ||||
\(775\) | −10.7175 | − | 2.87175i | −0.384985 | − | 0.103156i | ||||
\(776\) | 7.27865i | 0.261288i | ||||||||
\(777\) | −33.3621 | − | 6.87997i | −1.19686 | − | 0.246818i | ||||
\(778\) | 9.31421 | − | 9.31421i | 0.333931 | − | 0.333931i | ||||
\(779\) | −2.72724 | − | 4.72371i | −0.0977134 | − | 0.169245i | ||||
\(780\) | 5.62322 | − | 10.3723i | 0.201343 | − | 0.371387i | ||||
\(781\) | −1.93772 | + | 3.35623i | −0.0693371 | + | 0.120095i | ||||
\(782\) | −29.2012 | − | 7.82444i | −1.04423 | − | 0.279802i | ||||
\(783\) | −6.25565 | + | 10.5795i | −0.223559 | + | 0.378080i | ||||
\(784\) | 5.87685 | + | 3.80297i | 0.209888 | + | 0.135820i | ||||
\(785\) | 24.5006 | − | 24.5006i | 0.874465 | − | 0.874465i | ||||
\(786\) | −7.40811 | + | 0.622256i | −0.264239 | + | 0.0221951i | ||||
\(787\) | −8.66577 | − | 32.3411i | −0.308901 | − | 1.15284i | −0.929535 | − | 0.368735i | \(-0.879791\pi\) |
0.620633 | − | 0.784101i | \(-0.286876\pi\) | |||||||
\(788\) | 10.4562 | − | 2.80173i | 0.372487 | − | 0.0998076i | ||||
\(789\) | −15.0549 | − | 12.7217i | −0.535968 | − | 0.452906i | ||||
\(790\) | 12.6434i | 0.449833i | ||||||||
\(791\) | 6.71018 | + | 27.8506i | 0.238587 | + | 0.990255i | ||||
\(792\) | −3.39081 | − | 4.09839i | −0.120487 | − | 0.145630i | ||||
\(793\) | 23.5924 | − | 35.9635i | 0.837790 | − | 1.27710i | ||||
\(794\) | −20.2495 | − | 11.6910i | −0.718627 | − | 0.414899i | ||||
\(795\) | 17.6227 | + | 25.3545i | 0.625015 | + | 0.899232i | ||||
\(796\) | 5.83099 | + | 10.0996i | 0.206674 | + | 0.357970i | ||||
\(797\) | −31.3484 | −1.11042 | −0.555208 | − | 0.831712i | \(-0.687361\pi\) | ||||
−0.555208 | + | 0.831712i | \(0.687361\pi\) | |||||||
\(798\) | −6.78535 | + | 13.5192i | −0.240199 | + | 0.478575i | ||||
\(799\) | 28.1496 | + | 28.1496i | 0.995861 | + | 0.995861i | ||||
\(800\) | 0.370279 | − | 1.38190i | 0.0130913 | − | 0.0488575i | ||||
\(801\) | 5.73226 | − | 8.06689i | 0.202539 | − | 0.285030i | ||||
\(802\) | 5.19782 | − | 9.00288i | 0.183541 | − | 0.317903i | ||||
\(803\) | −1.50643 | − | 2.60921i | −0.0531608 | − | 0.0920772i | ||||
\(804\) | −17.2426 | − | 8.11324i | −0.608099 | − | 0.286132i | ||||
\(805\) | 17.9247 | + | 32.9495i | 0.631761 | + | 1.16132i | ||||
\(806\) | 12.5796 | + | 24.9741i | 0.443099 | + | 0.879673i | ||||
\(807\) | 28.0517 | + | 23.7044i | 0.987468 | + | 0.834435i | ||||
\(808\) | 2.38630 | − | 0.639408i | 0.0839498 | − | 0.0224943i | ||||
\(809\) | −21.7614 | − | 12.5640i | −0.765091 | − | 0.441725i | 0.0660299 | − | 0.997818i | \(-0.478967\pi\) |
−0.831121 | + | 0.556092i | \(0.812300\pi\) | |||||||
\(810\) | −5.59342 | − | 16.0571i | −0.196533 | − | 0.564190i | ||||
\(811\) | −9.57492 | − | 9.57492i | −0.336221 | − | 0.336221i | 0.518722 | − | 0.854943i | \(-0.326408\pi\) |
−0.854943 | + | 0.518722i | \(0.826408\pi\) | |||||||
\(812\) | −1.77253 | + | 6.00179i | −0.0622036 | + | 0.210621i | ||||
\(813\) | −23.1855 | − | 10.9096i | −0.813152 | − | 0.382616i | ||||
\(814\) | 12.7309 | + | 3.41124i | 0.446219 | + | 0.119564i | ||||
\(815\) | 27.7965 | + | 16.0483i | 0.973667 | + | 0.562147i | ||||
\(816\) | 6.86757 | + | 1.23550i | 0.240413 | + | 0.0432512i | ||||
\(817\) | −3.69292 | − | 0.989516i | −0.129199 | − | 0.0346188i | ||||
\(818\) | −2.74504 | −0.0959779 | ||||||||
\(819\) | 9.73348 | + | 26.9121i | 0.340115 | + | 0.940384i | ||||
\(820\) | 3.12190 | 0.109022 | ||||||||
\(821\) | 40.0306 | + | 10.7262i | 1.39708 | + | 0.374346i | 0.877294 | − | 0.479952i | \(-0.159346\pi\) |
0.519783 | + | 0.854298i | \(0.326013\pi\) | |||||||
\(822\) | 11.4050 | + | 2.05181i | 0.397797 | + | 0.0715650i | ||||
\(823\) | 37.9165 | + | 21.8911i | 1.32168 | + | 0.763075i | 0.983997 | − | 0.178183i | \(-0.0570221\pi\) |
0.337687 | + | 0.941258i | \(0.390355\pi\) | |||||||
\(824\) | 2.94584 | + | 0.789336i | 0.102623 | + | 0.0274978i | ||||
\(825\) | 3.97551 | + | 1.87062i | 0.138409 | + | 0.0651265i | ||||
\(826\) | −32.4822 | + | 7.82609i | −1.13020 | + | 0.272304i | ||||
\(827\) | −2.95104 | − | 2.95104i | −0.102618 | − | 0.102618i | 0.653934 | − | 0.756552i | \(-0.273117\pi\) |
−0.756552 | + | 0.653934i | \(0.773117\pi\) | |||||||
\(828\) | 7.84613 | − | 21.1007i | 0.272672 | − | 0.733300i | ||||
\(829\) | 20.6401 | + | 11.9166i | 0.716860 | + | 0.413879i | 0.813596 | − | 0.581431i | \(-0.197507\pi\) |
−0.0967360 | + | 0.995310i | \(0.530840\pi\) | |||||||
\(830\) | −10.7655 | + | 2.88461i | −0.373676 | + | 0.100126i | ||||
\(831\) | −27.2472 | − | 23.0245i | −0.945194 | − | 0.798712i | ||||
\(832\) | −3.22011 | + | 1.62200i | −0.111637 | + | 0.0562327i | ||||
\(833\) | 1.43034 | − | 28.1642i | 0.0495582 | − | 0.975833i | ||||
\(834\) | 20.2982 | + | 9.55103i | 0.702870 | + | 0.330725i | ||||
\(835\) | 10.0769 | + | 17.4537i | 0.348725 | + | 0.604010i | ||||
\(836\) | 2.92636 | − | 5.06860i | 0.101210 | − | 0.175301i | ||||
\(837\) | 38.8158 | + | 10.8345i | 1.34167 | + | 0.374496i | ||||
\(838\) | −9.48209 | + | 35.3877i | −0.327553 | + | 1.22245i | ||||
\(839\) | 29.0248 | + | 29.0248i | 1.00205 | + | 1.00205i | 0.999998 | + | 0.00204922i | \(0.000652287\pi\) |
0.00204922 | + | 0.999998i | \(0.499348\pi\) | |||||||
\(840\) | −4.75932 | − | 7.23224i | −0.164212 | − | 0.249536i | ||||
\(841\) | 23.4052 | 0.807077 | ||||||||
\(842\) | −5.80494 | − | 10.0544i | −0.200051 | − | 0.346499i | ||||
\(843\) | −11.1972 | − | 16.1099i | −0.385653 | − | 0.554854i | ||||
\(844\) | 8.19145 | + | 4.72934i | 0.281961 | + | 0.162790i | ||||
\(845\) | 19.2294 | − | 15.2791i | 0.661512 | − | 0.525617i | ||||
\(846\) | −22.8408 | + | 18.8974i | −0.785284 | + | 0.649707i | ||||
\(847\) | −15.0657 | + | 14.3200i | −0.517663 | + | 0.492040i | ||||
\(848\) | − | 9.43594i | − | 0.324031i | ||||||
\(849\) | 3.01762 | + | 2.54996i | 0.103564 | + | 0.0875144i | ||||
\(850\) | −5.56719 | + | 1.49172i | −0.190953 | + | 0.0511657i | ||||
\(851\) | 14.4371 | + | 53.8801i | 0.494899 | + | 1.84699i | ||||
\(852\) | 3.77247 | − | 0.316875i | 0.129243 | − | 0.0108560i | ||||
\(853\) | −22.1862 | + | 22.1862i | −0.759640 | + | 0.759640i | −0.976257 | − | 0.216616i | \(-0.930498\pi\) |
0.216616 | + | 0.976257i | \(0.430498\pi\) | |||||||
\(854\) | −15.0824 | − | 27.7248i | −0.516108 | − | 0.948722i | ||||
\(855\) | 14.4147 | − | 11.9261i | 0.492974 | − | 0.407863i | ||||
\(856\) | 15.1240 | + | 4.05247i | 0.516928 | + | 0.138511i | ||||
\(857\) | 8.80481 | − | 15.2504i | 0.300767 | − | 0.520943i | −0.675543 | − | 0.737320i | \(-0.736091\pi\) |
0.976310 | + | 0.216377i | \(0.0694242\pi\) | |||||||
\(858\) | −3.15157 | − | 10.6149i | −0.107593 | − | 0.362388i | ||||
\(859\) | 6.64921 | + | 11.5168i | 0.226868 | + | 0.392947i | 0.956878 | − | 0.290489i | \(-0.0938180\pi\) |
−0.730010 | + | 0.683436i | \(0.760485\pi\) | |||||||
\(860\) | 1.54731 | − | 1.54731i | 0.0527629 | − | 0.0527629i | ||||
\(861\) | −5.03269 | + | 5.65805i | −0.171514 | + | 0.192826i | ||||
\(862\) | 13.1497i | 0.447881i | ||||||||
\(863\) | −39.9496 | − | 10.7045i | −1.35990 | − | 0.364384i | −0.496121 | − | 0.868254i | \(-0.665243\pi\) |
−0.863780 | + | 0.503869i | \(0.831909\pi\) | |||||||
\(864\) | −1.39699 | + | 5.00484i | −0.0475264 | + | 0.170268i | ||||
\(865\) | −7.23836 | − | 27.0139i | −0.246111 | − | 0.918501i | ||||
\(866\) | 5.25694 | − | 19.6192i | 0.178638 | − | 0.666687i | ||||
\(867\) | 0.451789 | + | 1.25480i | 0.0153436 | + | 0.0426151i | ||||
\(868\) | 20.5129 | + | 0.520544i | 0.696253 | + | 0.0176684i | ||||
\(869\) | 8.39043 | + | 8.39043i | 0.284626 | + | 0.284626i | ||||
\(870\) | 4.99576 | − | 5.91197i | 0.169372 | − | 0.200435i | ||||
\(871\) | −26.4065 | − | 29.6018i | −0.894750 | − | 1.00302i | ||||
\(872\) | 4.38115 | + | 2.52946i | 0.148364 | + | 0.0856583i | ||||
\(873\) | 9.09084 | + | 19.8536i | 0.307678 | + | 0.671942i | ||||
\(874\) | 24.7700 | 0.837858 | ||||||||
\(875\) | 27.4208 | + | 16.7730i | 0.926991 | + | 0.567030i | ||||
\(876\) | −1.25306 | + | 2.66306i | −0.0423371 | + | 0.0899765i | ||||
\(877\) | −5.37547 | + | 20.0615i | −0.181517 | + | 0.677429i | 0.813833 | + | 0.581099i | \(0.197377\pi\) |
−0.995349 | + | 0.0963301i | \(0.969290\pi\) | |||||||
\(878\) | 28.0495 | − | 7.51583i | 0.946624 | − | 0.253647i | ||||
\(879\) | 27.2442 | + | 39.1972i | 0.918924 | + | 1.32209i | ||||
\(880\) | 1.67492 | + | 2.90104i | 0.0564615 | + | 0.0977942i | ||||
\(881\) | −14.9464 | −0.503556 | −0.251778 | − | 0.967785i | \(-0.581015\pi\) | ||||
−0.251778 | + | 0.967785i | \(0.581015\pi\) | |||||||
\(882\) | 20.7798 | + | 3.03312i | 0.699692 | + | 0.102131i | ||||
\(883\) | − | 25.4257i | − | 0.855642i | −0.903863 | − | 0.427821i | \(-0.859281\pi\) | ||
0.903863 | − | 0.427821i | \(-0.140719\pi\) | |||||||
\(884\) | 12.1454 | + | 7.96746i | 0.408493 | + | 0.267975i | ||||
\(885\) | 40.6713 | + | 7.31691i | 1.36715 | + | 0.245955i | ||||
\(886\) | 24.1801 | − | 6.47905i | 0.812348 | − | 0.217668i | ||||
\(887\) | −9.09755 | + | 5.25247i | −0.305466 | + | 0.176361i | −0.644896 | − | 0.764271i | \(-0.723099\pi\) |
0.339430 | + | 0.940631i | \(0.389766\pi\) | |||||||
\(888\) | −4.36155 | − | 12.1137i | −0.146364 | − | 0.406511i | ||||
\(889\) | −11.9018 | − | 49.3986i | −0.399175 | − | 1.65678i | ||||
\(890\) | −4.40681 | + | 4.40681i | −0.147717 | + | 0.147717i | ||||
\(891\) | −14.3677 | − | 6.94392i | −0.481337 | − | 0.232630i | ||||
\(892\) | 3.01895 | + | 11.2669i | 0.101082 | + | 0.377242i | ||||
\(893\) | −28.2479 | − | 16.3090i | −0.945281 | − | 0.545758i | ||||
\(894\) | 2.29318 | + | 1.93779i | 0.0766954 | + | 0.0648095i | ||||
\(895\) | 24.8223 | − | 24.8223i | 0.829719 | − | 0.829719i | ||||
\(896\) | −0.0671181 | + | 2.64490i | −0.00224226 | + | 0.0883599i | ||||
\(897\) | 32.2369 | − | 34.0136i | 1.07636 | − | 1.13568i | ||||
\(898\) | 16.5190 | + | 28.6118i | 0.551248 | + | 0.954789i | ||||
\(899\) | 4.74793 | + | 17.7195i | 0.158352 | + | 0.590980i | ||||
\(900\) | −0.715966 | − | 4.23180i | −0.0238655 | − | 0.141060i | ||||
\(901\) | −32.9212 | + | 19.0070i | −1.09676 | + | 0.633216i | ||||
\(902\) | 2.07176 | − | 2.07176i | 0.0689820 | − | 0.0689820i | ||||
\(903\) | 0.309948 | + | 5.29866i | 0.0103144 | + | 0.176328i | ||||
\(904\) | −7.65639 | + | 7.65639i | −0.254648 | + | 0.254648i | ||||
\(905\) | −9.41516 | + | 35.1378i | −0.312970 | + | 1.16802i | ||||
\(906\) | 1.61384 | − | 8.97057i | 0.0536161 | − | 0.298027i | ||||
\(907\) | −28.6605 | − | 16.5472i | −0.951657 | − | 0.549439i | −0.0580616 | − | 0.998313i | \(-0.518492\pi\) |
−0.893595 | + | 0.448874i | \(0.851825\pi\) | |||||||
\(908\) | −2.40458 | + | 8.97401i | −0.0797987 | + | 0.297813i | ||||
\(909\) | 5.71039 | − | 4.72451i | 0.189402 | − | 0.156702i | ||||
\(910\) | −3.21663 | − | 17.7331i | −0.106630 | − | 0.587848i | ||||
\(911\) | − | 6.36943i | − | 0.211029i | −0.994418 | − | 0.105514i | \(-0.966351\pi\) | ||
0.994418 | − | 0.105514i | \(-0.0336489\pi\) | |||||||
\(912\) | −5.69721 | + | 0.478546i | −0.188653 | + | 0.0158463i | ||||
\(913\) | −5.22992 | + | 9.05848i | −0.173085 | + | 0.299792i | ||||
\(914\) | −7.65522 | + | 13.2592i | −0.253212 | + | 0.438576i | ||||
\(915\) | 3.26740 | + | 38.8991i | 0.108017 | + | 1.28597i | ||||
\(916\) | 14.1511 | + | 14.1511i | 0.467564 | + | 0.467564i | ||||
\(917\) | −8.23097 | + | 7.82356i | −0.271811 | + | 0.258357i | ||||
\(918\) | 20.2754 | − | 5.20741i | 0.669189 | − | 0.171870i | ||||
\(919\) | −3.77646 | − | 6.54103i | −0.124574 | − | 0.215769i | 0.796992 | − | 0.603989i | \(-0.206423\pi\) |
−0.921566 | + | 0.388221i | \(0.873090\pi\) | |||||||
\(920\) | −7.08863 | + | 12.2779i | −0.233705 | + | 0.404790i | ||||
\(921\) | 8.49662 | − | 5.90561i | 0.279973 | − | 0.194596i | ||||
\(922\) | 25.0512 | − | 14.4633i | 0.825018 | − | 0.476324i | ||||
\(923\) | 7.48362 | + | 2.46993i | 0.246326 | + | 0.0812988i | ||||
\(924\) | −7.95784 | − | 1.64108i | −0.261794 | − | 0.0539874i | ||||
\(925\) | 7.51977 | + | 7.51977i | 0.247249 | + | 0.247249i | ||||
\(926\) | 13.9673 | − | 8.06402i | 0.458993 | − | 0.265000i | ||||
\(927\) | 9.02108 | − | 1.52625i | 0.296291 | − | 0.0501286i | ||||
\(928\) | −2.28473 | + | 0.612191i | −0.0749998 | + | 0.0200961i | ||||
\(929\) | 50.1073 | + | 13.4262i | 1.64397 | + | 0.440500i | 0.957915 | − | 0.287052i | \(-0.0926753\pi\) |
0.686053 | + | 0.727552i | \(0.259342\pi\) | |||||||
\(930\) | −22.9638 | − | 10.8053i | −0.753013 | − | 0.354319i | ||||
\(931\) | 4.84058 | + | 22.5934i | 0.158644 | + | 0.740467i | ||||
\(932\) | 23.2094i | 0.760248i | ||||||||
\(933\) | −3.12574 | + | 3.69900i | −0.102332 | + | 0.121100i | ||||
\(934\) | −3.98806 | − | 14.8836i | −0.130493 | − | 0.487008i | ||||
\(935\) | 6.74766 | − | 11.6873i | 0.220672 | − | 0.382215i | ||||
\(936\) | −6.75750 | + | 8.44608i | −0.220876 | + | 0.276069i | ||||
\(937\) | −1.69179 | −0.0552683 | −0.0276341 | − | 0.999618i | \(-0.508797\pi\) | ||||
−0.0276341 | + | 0.999618i | \(0.508797\pi\) | |||||||
\(938\) | −28.2988 | + | 6.81815i | −0.923987 | + | 0.222620i | ||||
\(939\) | 5.29753 | + | 14.7133i | 0.172878 | + | 0.480152i | ||||
\(940\) | 16.1679 | − | 9.33453i | 0.527338 | − | 0.304459i | ||||
\(941\) | −13.4576 | − | 50.2245i | −0.438706 | − | 1.63727i | −0.732040 | − | 0.681261i | \(-0.761432\pi\) |
0.293335 | − | 0.956010i | \(-0.405235\pi\) | |||||||
\(942\) | −26.0839 | + | 18.1297i | −0.849860 | + | 0.590699i | ||||
\(943\) | 11.9775 | + | 3.20936i | 0.390041 | + | 0.104511i | ||||
\(944\) | −8.92965 | − | 8.92965i | −0.290636 | − | 0.290636i | ||||
\(945\) | −22.0146 | − | 13.7827i | −0.716136 | − | 0.448352i | ||||
\(946\) | − | 2.05365i | − | 0.0667701i | ||||||
\(947\) | 2.76512 | − | 10.3196i | 0.0898542 | − | 0.335340i | −0.906335 | − | 0.422560i | \(-0.861132\pi\) |
0.996189 | + | 0.0872197i | \(0.0277982\pi\) | |||||||
\(948\) | 2.05236 | − | 11.4081i | 0.0666576 | − | 0.370518i | ||||
\(949\) | −4.57190 | + | 4.07840i | −0.148410 | + | 0.132390i | ||||
\(950\) | 4.08970 | − | 2.36119i | 0.132687 | − | 0.0766071i | ||||
\(951\) | −10.9302 | − | 5.14304i | −0.354436 | − | 0.166774i | ||||
\(952\) | 9.36302 | − | 5.09352i | 0.303457 | − | 0.165082i | ||||
\(953\) | 11.9865 | 0.388282 | 0.194141 | − | 0.980974i | \(-0.437808\pi\) | ||||
0.194141 | + | 0.980974i | \(0.437808\pi\) | |||||||
\(954\) | −11.7852 | − | 25.7379i | −0.381561 | − | 0.833296i | ||||
\(955\) | −27.8186 | + | 7.45397i | −0.900189 | + | 0.241205i | ||||
\(956\) | −7.25553 | + | 1.94411i | −0.234661 | + | 0.0628771i | ||||
\(957\) | −0.608017 | − | 7.23858i | −0.0196544 | − | 0.233990i | ||||
\(958\) | −11.0119 | −0.355780 | ||||||||
\(959\) | 15.5493 | − | 8.45885i | 0.502112 | − | 0.273151i | ||||
\(960\) | 1.39321 | − | 2.96091i | 0.0449658 | − | 0.0955631i | ||||
\(961\) | 25.2447 | − | 14.5750i | 0.814344 | − | 0.470162i | ||||
\(962\) | 1.52656 | − | 26.7580i | 0.0492182 | − | 0.862712i | ||||
\(963\) | 46.3144 | − | 7.83580i | 1.49246 | − | 0.252505i | ||||
\(964\) | −5.43462 | + | 20.2823i | −0.175037 | + | 0.653248i | ||||
\(965\) | − | 39.6593i | − | 1.27668i | ||||||
\(966\) | −10.8248 | − | 32.6399i | −0.348282 | − | 1.05017i | ||||
\(967\) | −29.6610 | − | 29.6610i | −0.953833 | − | 0.953833i | 0.0451476 | − | 0.998980i | \(-0.485624\pi\) |
−0.998980 | + | 0.0451476i | \(0.985624\pi\) | |||||||
\(968\) | −7.58848 | − | 2.03333i | −0.243903 | − | 0.0653536i | ||||
\(969\) | 13.1456 | + | 18.9131i | 0.422299 | + | 0.607577i | ||||
\(970\) | −3.55911 | − | 13.2828i | −0.114276 | − | 0.426485i | ||||
\(971\) | −4.19572 | + | 2.42240i | −0.134647 | + | 0.0777385i | −0.565810 | − | 0.824535i | \(-0.691437\pi\) |
0.431163 | + | 0.902274i | \(0.358103\pi\) | |||||||
\(972\) | 2.44043 | + | 15.3962i | 0.0782768 | + | 0.493835i | ||||
\(973\) | 33.3137 | − | 8.02643i | 1.06799 | − | 0.257315i | ||||
\(974\) | −29.1466 | −0.933916 | ||||||||
\(975\) | 2.08021 | − | 8.68885i | 0.0666200 | − | 0.278266i | ||||
\(976\) | 5.96460 | − | 10.3310i | 0.190922 | − | 0.330687i | ||||
\(977\) | −2.41792 | − | 9.02380i | −0.0773561 | − | 0.288697i | 0.916401 | − | 0.400261i | \(-0.131081\pi\) |
−0.993757 | + | 0.111564i | \(0.964414\pi\) | |||||||
\(978\) | −22.4756 | − | 18.9924i | −0.718690 | − | 0.607310i | ||||
\(979\) | 5.84889i | 0.186931i | ||||||||
\(980\) | −12.5842 | − | 4.06637i | −0.401989 | − | 0.129895i | ||||
\(981\) | 15.1095 | + | 1.42753i | 0.482408 | + | 0.0455775i | ||||
\(982\) | 17.0200 | + | 4.56050i | 0.543130 | + | 0.145531i | ||||
\(983\) | −4.75954 | + | 1.27531i | −0.151806 | + | 0.0406762i | −0.333922 | − | 0.942601i | \(-0.608372\pi\) |
0.182116 | + | 0.983277i | \(0.441705\pi\) | |||||||
\(984\) | −2.81688 | − | 0.506767i | −0.0897989 | − | 0.0161551i | ||||
\(985\) | −17.7115 | + | 10.2258i | −0.564336 | + | 0.325820i | ||||
\(986\) | 6.73806 | + | 6.73806i | 0.214584 | + | 0.214584i | ||||
\(987\) | −9.14592 | + | 44.3500i | −0.291118 | + | 1.41168i | ||||
\(988\) | −11.3018 | − | 3.73011i | −0.359558 | − | 0.118670i | ||||
\(989\) | 7.52709 | − | 4.34577i | 0.239347 | − | 0.138187i | ||||
\(990\) | 8.19192 | + | 5.82110i | 0.260356 | + | 0.185007i | ||||
\(991\) | −27.0543 | + | 46.8594i | −0.859408 | + | 1.48854i | 0.0130855 | + | 0.999914i | \(0.495835\pi\) |
−0.872494 | + | 0.488625i | \(0.837499\pi\) | |||||||
\(992\) | 3.87782 | + | 6.71659i | 0.123121 | + | 0.213252i | ||||
\(993\) | 10.5652 | − | 22.4536i | 0.335277 | − | 0.712544i | ||||
\(994\) | 4.19150 | − | 3.98404i | 0.132946 | − | 0.126366i | ||||
\(995\) | −15.5795 | − | 15.5795i | −0.493902 | − | 0.493902i | ||||
\(996\) | 10.1819 | − | 0.855247i | 0.322626 | − | 0.0270995i | ||||
\(997\) | 1.60113 | − | 2.77325i | 0.0507084 | − | 0.0878296i | −0.839557 | − | 0.543272i | \(-0.817185\pi\) |
0.890265 | + | 0.455442i | \(0.150519\pi\) | |||||||
\(998\) | −3.04386 | + | 5.27212i | −0.0963516 | + | 0.166886i | ||||
\(999\) | −27.0265 | − | 27.5946i | −0.855081 | − | 0.873054i |
(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 | 546.2.bv.a.515.36 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.515.5 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.359.5 | yes | 144 | |
13.5 | odd | 4 | inner | 546.2.bv.a.473.36 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.359.36 | yes | 144 | |
39.5 | even | 4 | inner | 546.2.bv.a.473.5 | yes | 144 | |
91.44 | odd | 12 | inner | 546.2.bv.a.317.5 | ✓ | 144 | |
273.44 | even | 12 | inner | 546.2.bv.a.317.36 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.5 | ✓ | 144 | 91.44 | odd | 12 | inner | |
546.2.bv.a.317.36 | yes | 144 | 273.44 | even | 12 | inner | |
546.2.bv.a.359.5 | yes | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.359.36 | yes | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.473.5 | yes | 144 | 39.5 | even | 4 | inner | |
546.2.bv.a.473.36 | yes | 144 | 13.5 | odd | 4 | inner | |
546.2.bv.a.515.5 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.515.36 | yes | 144 | 1.1 | even | 1 | trivial |