Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (of order \(10\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 281.12 | ||
Character | \(\chi\) | \(=\) | 462.281 |
Dual form | 462.2.w.b.365.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | 1.72206 | − | 0.185788i | 0.994230 | − | 0.107265i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 2.40093 | + | 0.780109i | 1.07373 | + | 0.348875i | 0.791938 | − | 0.610601i | \(-0.209072\pi\) |
0.281789 | + | 0.959476i | \(0.409072\pi\) | |||||||
\(6\) | −0.708840 | − | 1.58036i | −0.289383 | − | 0.645180i | ||||
\(7\) | −0.587785 | − | 0.809017i | −0.222162 | − | 0.305780i | ||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 2.93097 | − | 0.639875i | 0.976989 | − | 0.213292i | ||||
\(10\) | − | 2.52448i | − | 0.798312i | ||||||
\(11\) | 2.28578 | + | 2.40317i | 0.689188 | + | 0.724583i | ||||
\(12\) | −1.28397 | + | 1.16251i | −0.370650 | + | 0.335587i | ||||
\(13\) | −2.68168 | + | 0.871332i | −0.743765 | + | 0.241664i | −0.656296 | − | 0.754503i | \(-0.727878\pi\) |
−0.0874690 | + | 0.996167i | \(0.527878\pi\) | |||||||
\(14\) | −0.587785 | + | 0.809017i | −0.157092 | + | 0.216219i | ||||
\(15\) | 4.27947 | + | 0.897328i | 1.10495 | + | 0.231689i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.600505 | − | 1.84816i | 0.145644 | − | 0.448246i | −0.851449 | − | 0.524437i | \(-0.824276\pi\) |
0.997093 | + | 0.0761912i | \(0.0242759\pi\) | |||||||
\(18\) | −1.51428 | − | 2.58978i | −0.356918 | − | 0.610417i | ||||
\(19\) | −0.670165 | + | 0.922404i | −0.153747 | + | 0.211614i | −0.878941 | − | 0.476930i | \(-0.841750\pi\) |
0.725195 | + | 0.688544i | \(0.241750\pi\) | |||||||
\(20\) | −2.40093 | + | 0.780109i | −0.536864 | + | 0.174438i | ||||
\(21\) | −1.16251 | − | 1.28397i | −0.253680 | − | 0.280185i | ||||
\(22\) | 1.57921 | − | 2.91652i | 0.336688 | − | 0.621805i | ||||
\(23\) | − | 1.95181i | − | 0.406980i | −0.979077 | − | 0.203490i | \(-0.934772\pi\) | ||
0.979077 | − | 0.203490i | \(-0.0652285\pi\) | |||||||
\(24\) | 1.50238 | + | 0.861894i | 0.306672 | + | 0.175933i | ||||
\(25\) | 1.11080 | + | 0.807041i | 0.222159 | + | 0.161408i | ||||
\(26\) | 1.65737 | + | 2.28118i | 0.325037 | + | 0.447376i | ||||
\(27\) | 4.92841 | − | 1.64644i | 0.948473 | − | 0.316858i | ||||
\(28\) | 0.951057 | + | 0.309017i | 0.179733 | + | 0.0583987i | ||||
\(29\) | 0.436095 | − | 0.316841i | 0.0809807 | − | 0.0588359i | −0.546558 | − | 0.837421i | \(-0.684062\pi\) |
0.627539 | + | 0.778585i | \(0.284062\pi\) | |||||||
\(30\) | −0.469019 | − | 4.34731i | −0.0856307 | − | 0.793706i | ||||
\(31\) | 1.43570 | + | 4.41863i | 0.257859 | + | 0.793609i | 0.993253 | + | 0.115969i | \(0.0369973\pi\) |
−0.735394 | + | 0.677640i | \(0.763003\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 4.38272 | + | 3.71373i | 0.762934 | + | 0.646477i | ||||
\(34\) | −1.94327 | −0.333269 | ||||||||
\(35\) | −0.780109 | − | 2.40093i | −0.131862 | − | 0.405831i | ||||
\(36\) | −1.99509 | + | 2.24045i | −0.332515 | + | 0.373408i | ||||
\(37\) | −4.42744 | + | 3.21673i | −0.727867 | + | 0.528827i | −0.888888 | − | 0.458124i | \(-0.848521\pi\) |
0.161021 | + | 0.986951i | \(0.448521\pi\) | |||||||
\(38\) | 1.08435 | + | 0.352327i | 0.175905 | + | 0.0571550i | ||||
\(39\) | −4.45613 | + | 1.99871i | −0.713552 | + | 0.320050i | ||||
\(40\) | 1.48385 | + | 2.04235i | 0.234618 | + | 0.322924i | ||||
\(41\) | −4.71469 | − | 3.42542i | −0.736310 | − | 0.534961i | 0.155243 | − | 0.987876i | \(-0.450384\pi\) |
−0.891553 | + | 0.452916i | \(0.850384\pi\) | |||||||
\(42\) | −0.861894 | + | 1.50238i | −0.132993 | + | 0.231822i | ||||
\(43\) | − | 7.17172i | − | 1.09368i | −0.837238 | − | 0.546839i | \(-0.815831\pi\) | ||
0.837238 | − | 0.546839i | \(-0.184169\pi\) | |||||||
\(44\) | −3.26178 | − | 0.600659i | −0.491732 | − | 0.0905527i | ||||
\(45\) | 7.53621 | + | 0.750177i | 1.12343 | + | 0.111830i | ||||
\(46\) | −1.85628 | + | 0.603142i | −0.273694 | + | 0.0889284i | ||||
\(47\) | 6.77838 | − | 9.32963i | 0.988728 | − | 1.36087i | 0.0567354 | − | 0.998389i | \(-0.481931\pi\) |
0.931992 | − | 0.362478i | \(-0.118069\pi\) | |||||||
\(48\) | 0.355450 | − | 1.69519i | 0.0513048 | − | 0.244679i | ||||
\(49\) | −0.309017 | + | 0.951057i | −0.0441453 | + | 0.135865i | ||||
\(50\) | 0.424287 | − | 1.30582i | 0.0600032 | − | 0.184671i | ||||
\(51\) | 0.690737 | − | 3.29421i | 0.0967226 | − | 0.461282i | ||||
\(52\) | 1.65737 | − | 2.28118i | 0.229836 | − | 0.316342i | ||||
\(53\) | −10.7681 | + | 3.49876i | −1.47911 | + | 0.480592i | −0.933847 | − | 0.357672i | \(-0.883571\pi\) |
−0.545264 | + | 0.838264i | \(0.683571\pi\) | |||||||
\(54\) | −3.08882 | − | 4.17842i | −0.420335 | − | 0.568611i | ||||
\(55\) | 3.61325 | + | 7.55299i | 0.487211 | + | 1.01844i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | −0.982692 | + | 1.71294i | −0.130161 | + | 0.226885i | ||||
\(58\) | −0.436095 | − | 0.316841i | −0.0572620 | − | 0.0416033i | ||||
\(59\) | −2.15072 | − | 2.96022i | −0.280000 | − | 0.385387i | 0.645734 | − | 0.763563i | \(-0.276552\pi\) |
−0.925734 | + | 0.378175i | \(0.876552\pi\) | |||||||
\(60\) | −3.98960 | + | 1.78946i | −0.515055 | + | 0.231018i | ||||
\(61\) | −9.83154 | − | 3.19446i | −1.25880 | − | 0.409009i | −0.397733 | − | 0.917501i | \(-0.630203\pi\) |
−0.861067 | + | 0.508492i | \(0.830203\pi\) | |||||||
\(62\) | 3.75871 | − | 2.73086i | 0.477356 | − | 0.346820i | ||||
\(63\) | −2.24045 | − | 1.99509i | −0.282270 | − | 0.251358i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −7.11826 | −0.882912 | ||||||||
\(66\) | 2.17763 | − | 5.31582i | 0.268048 | − | 0.654332i | ||||
\(67\) | −0.0777526 | −0.00949900 | −0.00474950 | − | 0.999989i | \(-0.501512\pi\) | ||||
−0.00474950 | + | 0.999989i | \(0.501512\pi\) | |||||||
\(68\) | 0.600505 | + | 1.84816i | 0.0728219 | + | 0.224123i | ||||
\(69\) | −0.362623 | − | 3.36113i | −0.0436546 | − | 0.404632i | ||||
\(70\) | −2.04235 | + | 1.48385i | −0.244108 | + | 0.177355i | ||||
\(71\) | 11.1681 | + | 3.62873i | 1.32541 | + | 0.430651i | 0.884349 | − | 0.466827i | \(-0.154603\pi\) |
0.441059 | + | 0.897478i | \(0.354603\pi\) | |||||||
\(72\) | 2.74731 | + | 1.20511i | 0.323774 | + | 0.142023i | ||||
\(73\) | 4.64870 | + | 6.39838i | 0.544089 | + | 0.748874i | 0.989195 | − | 0.146604i | \(-0.0468342\pi\) |
−0.445107 | + | 0.895478i | \(0.646834\pi\) | |||||||
\(74\) | 4.42744 | + | 3.21673i | 0.514680 | + | 0.373937i | ||||
\(75\) | 2.06280 | + | 1.18340i | 0.238191 | + | 0.136647i | ||||
\(76\) | − | 1.14015i | − | 0.130785i | ||||||
\(77\) | 0.600659 | − | 3.26178i | 0.0684514 | − | 0.371714i | ||||
\(78\) | 3.27791 | + | 3.62040i | 0.371150 | + | 0.409929i | ||||
\(79\) | −16.0957 | + | 5.22983i | −1.81091 | + | 0.588401i | −0.810918 | + | 0.585159i | \(0.801032\pi\) |
−0.999995 | + | 0.00324219i | \(0.998968\pi\) | |||||||
\(80\) | 1.48385 | − | 2.04235i | 0.165900 | − | 0.228342i | ||||
\(81\) | 8.18112 | − | 3.75091i | 0.909013 | − | 0.416767i | ||||
\(82\) | −1.80085 | + | 5.54244i | −0.198871 | + | 0.612061i | ||||
\(83\) | 0.819945 | − | 2.52353i | 0.0900006 | − | 0.276993i | −0.895918 | − | 0.444220i | \(-0.853481\pi\) |
0.985919 | + | 0.167226i | \(0.0534810\pi\) | |||||||
\(84\) | 1.69519 | + | 0.355450i | 0.184960 | + | 0.0387828i | ||||
\(85\) | 2.88354 | − | 3.96885i | 0.312763 | − | 0.430482i | ||||
\(86\) | −6.82071 | + | 2.21618i | −0.735496 | + | 0.238977i | ||||
\(87\) | 0.692115 | − | 0.626640i | 0.0742025 | − | 0.0671829i | ||||
\(88\) | 0.436685 | + | 3.28775i | 0.0465508 | + | 0.350475i | ||||
\(89\) | 0.938421i | 0.0994725i | 0.998762 | + | 0.0497362i | \(0.0158381\pi\) | ||||
−0.998762 | + | 0.0497362i | \(0.984162\pi\) | |||||||
\(90\) | −1.61536 | − | 7.39918i | −0.170273 | − | 0.779942i | ||||
\(91\) | 2.28118 | + | 1.65737i | 0.239132 | + | 0.173740i | ||||
\(92\) | 1.14724 | + | 1.57905i | 0.119608 | + | 0.164627i | ||||
\(93\) | 3.29328 | + | 7.34240i | 0.341498 | + | 0.761371i | ||||
\(94\) | −10.9676 | − | 3.56360i | −1.13123 | − | 0.367558i | ||||
\(95\) | −2.32859 | + | 1.69182i | −0.238909 | + | 0.173577i | ||||
\(96\) | −1.72206 | + | 0.185788i | −0.175757 | + | 0.0189619i | ||||
\(97\) | 0.0157528 | + | 0.0484822i | 0.00159946 | + | 0.00492262i | 0.951853 | − | 0.306555i | \(-0.0991762\pi\) |
−0.950254 | + | 0.311477i | \(0.899176\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 8.23726 | + | 5.58099i | 0.827876 | + | 0.560911i | ||||
\(100\) | −1.37302 | −0.137302 | ||||||||
\(101\) | 4.17019 | + | 12.8345i | 0.414950 | + | 1.27708i | 0.912296 | + | 0.409532i | \(0.134308\pi\) |
−0.497346 | + | 0.867552i | \(0.665692\pi\) | |||||||
\(102\) | −3.34643 | + | 0.361037i | −0.331346 | + | 0.0357480i | ||||
\(103\) | −14.2379 | + | 10.3445i | −1.40291 | + | 1.01927i | −0.408599 | + | 0.912714i | \(0.633983\pi\) |
−0.994307 | + | 0.106557i | \(0.966017\pi\) | |||||||
\(104\) | −2.68168 | − | 0.871332i | −0.262961 | − | 0.0854411i | ||||
\(105\) | −1.78946 | − | 3.98960i | −0.174633 | − | 0.389345i | ||||
\(106\) | 6.65505 | + | 9.15989i | 0.646395 | + | 0.889687i | ||||
\(107\) | −6.64527 | − | 4.82807i | −0.642422 | − | 0.466747i | 0.218259 | − | 0.975891i | \(-0.429962\pi\) |
−0.860682 | + | 0.509144i | \(0.829962\pi\) | |||||||
\(108\) | −3.01941 | + | 4.22885i | −0.290543 | + | 0.406921i | ||||
\(109\) | − | 1.29310i | − | 0.123856i | −0.998081 | − | 0.0619281i | \(-0.980275\pi\) | ||
0.998081 | − | 0.0619281i | \(-0.0197249\pi\) | |||||||
\(110\) | 6.06676 | − | 5.77041i | 0.578443 | − | 0.550187i | ||||
\(111\) | −7.02668 | + | 6.36195i | −0.666943 | + | 0.603850i | ||||
\(112\) | −0.951057 | + | 0.309017i | −0.0898664 | + | 0.0291994i | ||||
\(113\) | −5.02547 | + | 6.91697i | −0.472757 | + | 0.650694i | −0.977093 | − | 0.212814i | \(-0.931737\pi\) |
0.504336 | + | 0.863507i | \(0.331737\pi\) | |||||||
\(114\) | 1.93277 | + | 0.405268i | 0.181021 | + | 0.0379568i | ||||
\(115\) | 1.52262 | − | 4.68615i | 0.141985 | − | 0.436986i | ||||
\(116\) | −0.166573 | + | 0.512660i | −0.0154659 | + | 0.0475993i | ||||
\(117\) | −7.30238 | + | 4.26979i | −0.675105 | + | 0.394742i | ||||
\(118\) | −2.15072 | + | 2.96022i | −0.197990 | + | 0.272510i | ||||
\(119\) | −1.84816 | + | 0.600505i | −0.169421 | + | 0.0550482i | ||||
\(120\) | 2.93473 | + | 3.24136i | 0.267903 | + | 0.295895i | ||||
\(121\) | −0.550444 | + | 10.9862i | −0.0500404 | + | 0.998747i | ||||
\(122\) | 10.3375i | 0.935913i | ||||||||
\(123\) | −8.75536 | − | 5.02284i | −0.789444 | − | 0.452894i | ||||
\(124\) | −3.75871 | − | 2.73086i | −0.337542 | − | 0.245239i | ||||
\(125\) | −5.38191 | − | 7.40756i | −0.481373 | − | 0.662553i | ||||
\(126\) | −1.20511 | + | 2.74731i | −0.107360 | + | 0.244750i | ||||
\(127\) | 20.3852 | + | 6.62357i | 1.80890 | + | 0.587747i | 1.00000 | 0.000201735i | \(-6.42141e-5\pi\) | |
0.808898 | + | 0.587948i | \(0.200064\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | −1.33242 | − | 12.3501i | −0.117313 | − | 1.08737i | ||||
\(130\) | 2.19966 | + | 6.76987i | 0.192923 | + | 0.593757i | ||||
\(131\) | −7.96431 | −0.695845 | −0.347923 | − | 0.937523i | \(-0.613113\pi\) | ||||
−0.347923 | + | 0.937523i | \(0.613113\pi\) | |||||||
\(132\) | −5.72857 | − | 0.428369i | −0.498608 | − | 0.0372847i | ||||
\(133\) | 1.14015 | 0.0988639 | ||||||||
\(134\) | 0.0240269 | + | 0.0739471i | 0.00207561 | + | 0.00638806i | ||||
\(135\) | 13.1172 | − | 0.108289i | 1.12895 | − | 0.00932002i | ||||
\(136\) | 1.57214 | − | 1.14223i | 0.134810 | − | 0.0979452i | ||||
\(137\) | 7.17933 | + | 2.33271i | 0.613372 | + | 0.199297i | 0.599195 | − | 0.800603i | \(-0.295487\pi\) |
0.0141765 | + | 0.999900i | \(0.495487\pi\) | |||||||
\(138\) | −3.08456 | + | 1.38352i | −0.262576 | + | 0.117773i | ||||
\(139\) | 10.8724 | + | 14.9646i | 0.922184 | + | 1.26928i | 0.962831 | + | 0.270104i | \(0.0870582\pi\) |
−0.0406466 | + | 0.999174i | \(0.512942\pi\) | |||||||
\(140\) | 2.04235 | + | 1.48385i | 0.172610 | + | 0.125409i | ||||
\(141\) | 9.93942 | − | 17.3255i | 0.837050 | − | 1.45907i | ||||
\(142\) | − | 11.7428i | − | 0.985436i | ||||||
\(143\) | −8.22369 | − | 4.45287i | −0.687700 | − | 0.372368i | ||||
\(144\) | 0.297161 | − | 2.98525i | 0.0247634 | − | 0.248771i | ||||
\(145\) | 1.29420 | − | 0.420512i | 0.107478 | − | 0.0349216i | ||||
\(146\) | 4.64870 | − | 6.39838i | 0.384729 | − | 0.529534i | ||||
\(147\) | −0.355450 | + | 1.69519i | −0.0293170 | + | 0.139817i | ||||
\(148\) | 1.69113 | − | 5.20477i | 0.139010 | − | 0.427830i | ||||
\(149\) | −4.89868 | + | 15.0766i | −0.401316 | + | 1.23512i | 0.522617 | + | 0.852568i | \(0.324956\pi\) |
−0.923933 | + | 0.382555i | \(0.875044\pi\) | |||||||
\(150\) | 0.488040 | − | 2.32753i | 0.0398483 | − | 0.190042i | ||||
\(151\) | 7.18517 | − | 9.88954i | 0.584721 | − | 0.804799i | −0.409482 | − | 0.912318i | \(-0.634291\pi\) |
0.994203 | + | 0.107519i | \(0.0342906\pi\) | |||||||
\(152\) | −1.08435 | + | 0.352327i | −0.0879524 | + | 0.0285775i | ||||
\(153\) | 0.577464 | − | 5.80115i | 0.0466852 | − | 0.468995i | ||||
\(154\) | −3.28775 | + | 0.436685i | −0.264935 | + | 0.0351891i | ||||
\(155\) | 11.7288i | 0.942080i | ||||||||
\(156\) | 2.43027 | − | 4.23624i | 0.194578 | − | 0.339170i | ||||
\(157\) | −8.23180 | − | 5.98076i | −0.656969 | − | 0.477316i | 0.208669 | − | 0.977986i | \(-0.433087\pi\) |
−0.865638 | + | 0.500670i | \(0.833087\pi\) | |||||||
\(158\) | 9.94772 | + | 13.6919i | 0.791398 | + | 1.08927i | ||||
\(159\) | −17.8932 | + | 8.02566i | −1.41903 | + | 0.636476i | ||||
\(160\) | −2.40093 | − | 0.780109i | −0.189810 | − | 0.0616730i | ||||
\(161\) | −1.57905 | + | 1.14724i | −0.124446 | + | 0.0904155i | ||||
\(162\) | −6.09543 | − | 6.62161i | −0.478902 | − | 0.520243i | ||||
\(163\) | −1.98212 | − | 6.10034i | −0.155252 | − | 0.477815i | 0.842935 | − | 0.538016i | \(-0.180826\pi\) |
−0.998186 | + | 0.0602005i | \(0.980826\pi\) | |||||||
\(164\) | 5.82767 | 0.455065 | ||||||||
\(165\) | 7.62548 | + | 12.3354i | 0.593643 | + | 0.960308i | ||||
\(166\) | −2.65340 | −0.205944 | ||||||||
\(167\) | −2.28598 | − | 7.03551i | −0.176894 | − | 0.544424i | 0.822821 | − | 0.568301i | \(-0.192399\pi\) |
−0.999715 | + | 0.0238767i | \(0.992399\pi\) | |||||||
\(168\) | −0.185788 | − | 1.72206i | −0.0143339 | − | 0.132860i | ||||
\(169\) | −4.08501 | + | 2.96793i | −0.314232 | + | 0.228303i | ||||
\(170\) | −4.66566 | − | 1.51596i | −0.357840 | − | 0.116269i | ||||
\(171\) | −1.37401 | + | 3.13236i | −0.105073 | + | 0.239537i | ||||
\(172\) | 4.21543 | + | 5.80204i | 0.321424 | + | 0.442402i | ||||
\(173\) | −17.0775 | − | 12.4075i | −1.29838 | − | 0.943325i | −0.298437 | − | 0.954429i | \(-0.596465\pi\) |
−0.999938 | + | 0.0111040i | \(0.996465\pi\) | |||||||
\(174\) | −0.809845 | − | 0.464598i | −0.0613942 | − | 0.0352211i | ||||
\(175\) | − | 1.37302i | − | 0.103791i | ||||||
\(176\) | 2.99189 | − | 1.43128i | 0.225522 | − | 0.107887i | ||||
\(177\) | −4.25364 | − | 4.69809i | −0.319723 | − | 0.353130i | ||||
\(178\) | 0.892492 | − | 0.289988i | 0.0668951 | − | 0.0217355i | ||||
\(179\) | 8.12525 | − | 11.1835i | 0.607310 | − | 0.835890i | −0.389043 | − | 0.921220i | \(-0.627194\pi\) |
0.996353 | + | 0.0853292i | \(0.0271942\pi\) | |||||||
\(180\) | −6.53786 | + | 3.82277i | −0.487304 | + | 0.284932i | ||||
\(181\) | 3.21449 | − | 9.89318i | 0.238931 | − | 0.735355i | −0.757644 | − | 0.652668i | \(-0.773650\pi\) |
0.996576 | − | 0.0826870i | \(-0.0263502\pi\) | |||||||
\(182\) | 0.871332 | − | 2.68168i | 0.0645874 | − | 0.198780i | ||||
\(183\) | −17.5240 | − | 3.67446i | −1.29541 | − | 0.271624i | ||||
\(184\) | 1.14724 | − | 1.57905i | 0.0845760 | − | 0.116409i | ||||
\(185\) | −13.1394 | + | 4.26924i | −0.966025 | + | 0.313881i | ||||
\(186\) | 5.96535 | − | 5.40102i | 0.437401 | − | 0.396022i | ||||
\(187\) | 5.81407 | − | 2.78138i | 0.425167 | − | 0.203394i | ||||
\(188\) | 11.5321i | 0.841062i | ||||||||
\(189\) | −4.22885 | − | 3.01941i | −0.307603 | − | 0.219630i | ||||
\(190\) | 2.32859 | + | 1.69182i | 0.168934 | + | 0.122738i | ||||
\(191\) | 15.1990 | + | 20.9197i | 1.09976 | + | 1.51370i | 0.835696 | + | 0.549192i | \(0.185064\pi\) |
0.264068 | + | 0.964504i | \(0.414936\pi\) | |||||||
\(192\) | 0.708840 | + | 1.58036i | 0.0511561 | + | 0.114053i | ||||
\(193\) | −6.61788 | − | 2.15028i | −0.476366 | − | 0.154781i | 0.0609865 | − | 0.998139i | \(-0.480575\pi\) |
−0.537352 | + | 0.843358i | \(0.680575\pi\) | |||||||
\(194\) | 0.0412414 | − | 0.0299636i | 0.00296096 | − | 0.00215126i | ||||
\(195\) | −12.2581 | + | 1.32249i | −0.877818 | + | 0.0947053i | ||||
\(196\) | −0.309017 | − | 0.951057i | −0.0220726 | − | 0.0679326i | ||||
\(197\) | 2.55289 | 0.181886 | 0.0909428 | − | 0.995856i | \(-0.471012\pi\) | ||||
0.0909428 | + | 0.995856i | \(0.471012\pi\) | |||||||
\(198\) | 2.76239 | − | 9.55873i | 0.196314 | − | 0.679309i | ||||
\(199\) | −13.8285 | −0.980278 | −0.490139 | − | 0.871644i | \(-0.663054\pi\) | ||||
−0.490139 | + | 0.871644i | \(0.663054\pi\) | |||||||
\(200\) | 0.424287 | + | 1.30582i | 0.0300016 | + | 0.0923354i | ||||
\(201\) | −0.133895 | + | 0.0144455i | −0.00944419 | + | 0.00101891i | ||||
\(202\) | 10.9177 | − | 7.93218i | 0.768167 | − | 0.558106i | ||||
\(203\) | −0.512660 | − | 0.166573i | −0.0359817 | − | 0.0116912i | ||||
\(204\) | 1.37747 | + | 3.07108i | 0.0964422 | + | 0.215018i | ||||
\(205\) | −8.64742 | − | 11.9021i | −0.603962 | − | 0.831282i | ||||
\(206\) | 14.2379 | + | 10.3445i | 0.992004 | + | 0.720733i | ||||
\(207\) | −1.24891 | − | 5.72068i | −0.0868055 | − | 0.397615i | ||||
\(208\) | 2.81969i | 0.195510i | ||||||||
\(209\) | −3.74854 | + | 0.497888i | −0.259292 | + | 0.0344397i | ||||
\(210\) | −3.24136 | + | 2.93473i | −0.223675 | + | 0.202515i | ||||
\(211\) | 23.9330 | − | 7.77631i | 1.64762 | − | 0.535343i | 0.669396 | − | 0.742906i | \(-0.266553\pi\) |
0.978222 | + | 0.207563i | \(0.0665531\pi\) | |||||||
\(212\) | 6.65505 | − | 9.15989i | 0.457070 | − | 0.629104i | ||||
\(213\) | 19.9063 | + | 4.17399i | 1.36395 | + | 0.285997i | ||||
\(214\) | −2.53827 | + | 7.81198i | −0.173512 | + | 0.534016i | ||||
\(215\) | 5.59472 | − | 17.2188i | 0.381557 | − | 1.17431i | ||||
\(216\) | 4.95492 | + | 1.56485i | 0.337140 | + | 0.106474i | ||||
\(217\) | 2.73086 | − | 3.75871i | 0.185383 | − | 0.255158i | ||||
\(218\) | −1.22981 | + | 0.399589i | −0.0832931 | + | 0.0270636i | ||||
\(219\) | 9.19407 | + | 10.1547i | 0.621277 | + | 0.686192i | ||||
\(220\) | −7.36272 | − | 3.98668i | −0.496394 | − | 0.268782i | ||||
\(221\) | 5.47943i | 0.368586i | ||||||||
\(222\) | 8.22194 | + | 4.71682i | 0.551821 | + | 0.316572i | ||||
\(223\) | 0.479187 | + | 0.348150i | 0.0320887 | + | 0.0233138i | 0.603714 | − | 0.797201i | \(-0.293687\pi\) |
−0.571625 | + | 0.820515i | \(0.693687\pi\) | |||||||
\(224\) | 0.587785 | + | 0.809017i | 0.0392731 | + | 0.0540547i | ||||
\(225\) | 3.77211 | + | 1.65464i | 0.251474 | + | 0.110309i | ||||
\(226\) | 8.13139 | + | 2.64205i | 0.540892 | + | 0.175746i | ||||
\(227\) | 15.5146 | − | 11.2720i | 1.02974 | − | 0.748152i | 0.0614855 | − | 0.998108i | \(-0.480416\pi\) |
0.968257 | + | 0.249956i | \(0.0804162\pi\) | |||||||
\(228\) | −0.211827 | − | 1.96341i | −0.0140286 | − | 0.130030i | ||||
\(229\) | −8.06612 | − | 24.8250i | −0.533024 | − | 1.64048i | −0.747881 | − | 0.663833i | \(-0.768928\pi\) |
0.214857 | − | 0.976646i | \(-0.431072\pi\) | |||||||
\(230\) | −4.92731 | −0.324897 | ||||||||
\(231\) | 0.428369 | − | 5.72857i | 0.0281846 | − | 0.376912i | ||||
\(232\) | 0.539043 | 0.0353899 | ||||||||
\(233\) | 3.54864 | + | 10.9216i | 0.232479 | + | 0.715497i | 0.997446 | + | 0.0714270i | \(0.0227553\pi\) |
−0.764967 | + | 0.644070i | \(0.777245\pi\) | |||||||
\(234\) | 6.31737 | + | 5.62554i | 0.412979 | + | 0.367753i | ||||
\(235\) | 23.5525 | − | 17.1119i | 1.53640 | − | 1.11626i | ||||
\(236\) | 3.47994 | + | 1.13070i | 0.226525 | + | 0.0736024i | ||||
\(237\) | −26.7462 | + | 11.9965i | −1.73735 | + | 0.779254i | ||||
\(238\) | 1.14223 | + | 1.57214i | 0.0740396 | + | 0.101907i | ||||
\(239\) | −5.72110 | − | 4.15662i | −0.370067 | − | 0.268870i | 0.387172 | − | 0.922008i | \(-0.373452\pi\) |
−0.757239 | + | 0.653138i | \(0.773452\pi\) | |||||||
\(240\) | 2.17584 | − | 3.79273i | 0.140450 | − | 0.244820i | ||||
\(241\) | − | 8.34112i | − | 0.537299i | −0.963238 | − | 0.268649i | \(-0.913423\pi\) | ||
0.963238 | − | 0.268649i | \(-0.0865773\pi\) | |||||||
\(242\) | 10.6186 | − | 2.87142i | 0.682590 | − | 0.184582i | ||||
\(243\) | 13.3915 | − | 7.97923i | 0.859064 | − | 0.511868i | ||||
\(244\) | 9.83154 | − | 3.19446i | 0.629400 | − | 0.204504i | ||||
\(245\) | −1.48385 | + | 2.04235i | −0.0948000 | + | 0.130481i | ||||
\(246\) | −2.07145 | + | 9.87899i | −0.132071 | + | 0.629861i | ||||
\(247\) | 0.993452 | − | 3.05753i | 0.0632119 | − | 0.194546i | ||||
\(248\) | −1.43570 | + | 4.41863i | −0.0911670 | + | 0.280583i | ||||
\(249\) | 0.943150 | − | 4.49800i | 0.0597697 | − | 0.285049i | ||||
\(250\) | −5.38191 | + | 7.40756i | −0.340382 | + | 0.468495i | ||||
\(251\) | 17.1133 | − | 5.56045i | 1.08018 | − | 0.350973i | 0.285737 | − | 0.958308i | \(-0.407761\pi\) |
0.794446 | + | 0.607335i | \(0.207761\pi\) | |||||||
\(252\) | 2.98525 | + | 0.297161i | 0.188053 | + | 0.0187194i | ||||
\(253\) | 4.69053 | − | 4.46140i | 0.294891 | − | 0.280486i | ||||
\(254\) | − | 21.4343i | − | 1.34491i | ||||||
\(255\) | 4.22825 | − | 7.37031i | 0.264783 | − | 0.461547i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −13.8716 | − | 19.0926i | −0.865284 | − | 1.19096i | −0.980284 | − | 0.197596i | \(-0.936687\pi\) |
0.115000 | − | 0.993366i | \(-0.463313\pi\) | |||||||
\(258\) | −11.3339 | + | 5.08360i | −0.705619 | + | 0.316491i | ||||
\(259\) | 5.20477 | + | 1.69113i | 0.323409 | + | 0.105082i | ||||
\(260\) | 5.75879 | − | 4.18401i | 0.357145 | − | 0.259481i | ||||
\(261\) | 1.07544 | − | 1.20770i | 0.0665680 | − | 0.0747546i | ||||
\(262\) | 2.46111 | + | 7.57451i | 0.152048 | + | 0.467955i | ||||
\(263\) | 9.24161 | 0.569862 | 0.284931 | − | 0.958548i | \(-0.408029\pi\) | ||||
0.284931 | + | 0.958548i | \(0.408029\pi\) | |||||||
\(264\) | 1.36282 | + | 5.58057i | 0.0838759 | + | 0.343460i | ||||
\(265\) | −28.5828 | −1.75583 | ||||||||
\(266\) | −0.352327 | − | 1.08435i | −0.0216025 | − | 0.0664858i | ||||
\(267\) | 0.174347 | + | 1.61602i | 0.0106699 | + | 0.0988986i | ||||
\(268\) | 0.0629032 | − | 0.0457019i | 0.00384242 | − | 0.00279168i | ||||
\(269\) | 9.87348 | + | 3.20809i | 0.601997 | + | 0.195601i | 0.594131 | − | 0.804368i | \(-0.297496\pi\) |
0.00786607 | + | 0.999969i | \(0.497496\pi\) | |||||||
\(270\) | −4.15641 | − | 12.4417i | −0.252951 | − | 0.757177i | ||||
\(271\) | 3.36785 | + | 4.63545i | 0.204582 | + | 0.281583i | 0.898963 | − | 0.438024i | \(-0.144322\pi\) |
−0.694381 | + | 0.719608i | \(0.744322\pi\) | |||||||
\(272\) | −1.57214 | − | 1.14223i | −0.0953251 | − | 0.0692577i | ||||
\(273\) | 4.23624 | + | 2.43027i | 0.256389 | + | 0.147087i | ||||
\(274\) | − | 7.54880i | − | 0.456039i | ||||||
\(275\) | 0.599578 | + | 4.51415i | 0.0361559 | + | 0.272213i | ||||
\(276\) | 2.26899 | + | 2.50606i | 0.136577 | + | 0.150847i | ||||
\(277\) | 8.95982 | − | 2.91122i | 0.538344 | − | 0.174918i | −0.0272104 | − | 0.999630i | \(-0.508662\pi\) |
0.565554 | + | 0.824711i | \(0.308662\pi\) | |||||||
\(278\) | 10.8724 | − | 14.9646i | 0.652083 | − | 0.897515i | ||||
\(279\) | 7.03536 | + | 12.0322i | 0.421196 | + | 0.720348i | ||||
\(280\) | 0.780109 | − | 2.40093i | 0.0466204 | − | 0.143483i | ||||
\(281\) | 0.694050 | − | 2.13607i | 0.0414036 | − | 0.127427i | −0.928218 | − | 0.372036i | \(-0.878660\pi\) |
0.969622 | + | 0.244609i | \(0.0786597\pi\) | |||||||
\(282\) | −19.5490 | − | 4.09907i | −1.16413 | − | 0.244096i | ||||
\(283\) | 12.8043 | − | 17.6236i | 0.761134 | − | 1.04761i | −0.235984 | − | 0.971757i | \(-0.575831\pi\) |
0.997119 | − | 0.0758548i | \(-0.0241686\pi\) | |||||||
\(284\) | −11.1681 | + | 3.62873i | −0.662704 | + | 0.215326i | ||||
\(285\) | −3.69565 | + | 3.34604i | −0.218912 | + | 0.198202i | ||||
\(286\) | −1.69367 | + | 9.19721i | −0.100149 | + | 0.543842i | ||||
\(287\) | 5.82767i | 0.343997i | ||||||||
\(288\) | −2.93097 | + | 0.639875i | −0.172709 | + | 0.0377050i | ||||
\(289\) | 10.6982 | + | 7.77269i | 0.629305 | + | 0.457217i | ||||
\(290\) | −0.799861 | − | 1.10091i | −0.0469694 | − | 0.0646479i | ||||
\(291\) | 0.0361347 | + | 0.0805624i | 0.00211825 | + | 0.00472265i | ||||
\(292\) | −7.52175 | − | 2.44396i | −0.440177 | − | 0.143022i | ||||
\(293\) | 3.23645 | − | 2.35142i | 0.189075 | − | 0.137371i | −0.489221 | − | 0.872160i | \(-0.662719\pi\) |
0.678296 | + | 0.734789i | \(0.262719\pi\) | |||||||
\(294\) | 1.72206 | − | 0.185788i | 0.100432 | − | 0.0108354i | ||||
\(295\) | −2.85444 | − | 8.78506i | −0.166192 | − | 0.511486i | ||||
\(296\) | −5.47262 | −0.318090 | ||||||||
\(297\) | 15.2219 | + | 8.08041i | 0.883266 | + | 0.468873i | ||||
\(298\) | 15.8525 | 0.918309 | ||||||||
\(299\) | 1.70067 | + | 5.23413i | 0.0983525 | + | 0.302698i | ||||
\(300\) | −2.36442 | + | 0.255091i | −0.136510 | + | 0.0147277i | ||||
\(301\) | −5.80204 | + | 4.21543i | −0.334424 | + | 0.242973i | ||||
\(302\) | −11.6258 | − | 3.77747i | −0.668992 | − | 0.217369i | ||||
\(303\) | 9.56582 | + | 21.3270i | 0.549542 | + | 1.22521i | ||||
\(304\) | 0.670165 | + | 0.922404i | 0.0384366 | + | 0.0529035i | ||||
\(305\) | −21.1128 | − | 15.3393i | −1.20891 | − | 0.878328i | ||||
\(306\) | −5.69567 | + | 1.24345i | −0.325600 | + | 0.0710835i | ||||
\(307\) | − | 12.8498i | − | 0.733379i | −0.930343 | − | 0.366690i | \(-0.880491\pi\) | ||
0.930343 | − | 0.366690i | \(-0.119509\pi\) | |||||||
\(308\) | 1.43128 | + | 2.99189i | 0.0815549 | + | 0.170479i | ||||
\(309\) | −22.5967 | + | 20.4590i | −1.28548 | + | 1.16387i | ||||
\(310\) | 11.1548 | − | 3.62440i | 0.633547 | − | 0.205852i | ||||
\(311\) | 6.80143 | − | 9.36137i | 0.385674 | − | 0.530835i | −0.571403 | − | 0.820670i | \(-0.693601\pi\) |
0.957077 | + | 0.289835i | \(0.0936005\pi\) | |||||||
\(312\) | −4.77990 | − | 1.00226i | −0.270608 | − | 0.0567418i | ||||
\(313\) | 8.69034 | − | 26.7461i | 0.491207 | − | 1.51178i | −0.331579 | − | 0.943428i | \(-0.607581\pi\) |
0.822786 | − | 0.568352i | \(-0.192419\pi\) | |||||||
\(314\) | −3.14427 | + | 9.67707i | −0.177441 | + | 0.546108i | ||||
\(315\) | −3.82277 | − | 6.53786i | −0.215388 | − | 0.368367i | ||||
\(316\) | 9.94772 | − | 13.6919i | 0.559603 | − | 0.770227i | ||||
\(317\) | −3.76993 | + | 1.22492i | −0.211740 | + | 0.0687986i | −0.412967 | − | 0.910746i | \(-0.635507\pi\) |
0.201226 | + | 0.979545i | \(0.435507\pi\) | |||||||
\(318\) | 13.1622 | + | 14.5374i | 0.738098 | + | 0.815218i | ||||
\(319\) | 1.75824 | + | 0.323780i | 0.0984424 | + | 0.0181282i | ||||
\(320\) | 2.52448i | 0.141123i | ||||||||
\(321\) | −12.3405 | − | 7.07961i | −0.688782 | − | 0.395145i | ||||
\(322\) | 1.57905 | + | 1.14724i | 0.0879968 | + | 0.0639334i | ||||
\(323\) | 1.30232 | + | 1.79248i | 0.0724628 | + | 0.0997364i | ||||
\(324\) | −4.41394 | + | 7.84329i | −0.245219 | + | 0.435738i | ||||
\(325\) | −3.68201 | − | 1.19636i | −0.204241 | − | 0.0663619i | ||||
\(326\) | −5.18926 | + | 3.77022i | −0.287406 | + | 0.208813i | ||||
\(327\) | −0.240242 | − | 2.22679i | −0.0132854 | − | 0.123142i | ||||
\(328\) | −1.80085 | − | 5.54244i | −0.0994353 | − | 0.306030i | ||||
\(329\) | −11.5321 | −0.635783 | ||||||||
\(330\) | 9.37524 | − | 11.0641i | 0.516090 | − | 0.609059i | ||||
\(331\) | −34.4306 | −1.89248 | −0.946239 | − | 0.323468i | \(-0.895151\pi\) | ||||
−0.946239 | + | 0.323468i | \(0.895151\pi\) | |||||||
\(332\) | 0.819945 | + | 2.52353i | 0.0450003 | + | 0.138497i | ||||
\(333\) | −10.9184 | + | 12.2611i | −0.598324 | + | 0.671906i | ||||
\(334\) | −5.98476 | + | 4.34819i | −0.327472 | + | 0.237922i | ||||
\(335\) | −0.186678 | − | 0.0606555i | −0.0101993 | − | 0.00331396i | ||||
\(336\) | −1.58036 | + | 0.708840i | −0.0862158 | + | 0.0386704i | ||||
\(337\) | 9.02974 | + | 12.4284i | 0.491881 | + | 0.677016i | 0.980734 | − | 0.195350i | \(-0.0625843\pi\) |
−0.488852 | + | 0.872366i | \(0.662584\pi\) | |||||||
\(338\) | 4.08501 | + | 2.96793i | 0.222195 | + | 0.161434i | ||||
\(339\) | −7.36906 | + | 12.8451i | −0.400233 | + | 0.697650i | ||||
\(340\) | 4.90577i | 0.266052i | ||||||||
\(341\) | −7.33702 | + | 13.5502i | −0.397322 | + | 0.733786i | ||||
\(342\) | 3.40364 | + | 0.338809i | 0.184048 | + | 0.0183207i | ||||
\(343\) | 0.951057 | − | 0.309017i | 0.0513522 | − | 0.0166853i | ||||
\(344\) | 4.21543 | − | 5.80204i | 0.227281 | − | 0.312825i | ||||
\(345\) | 1.75141 | − | 8.35271i | 0.0942929 | − | 0.449695i | ||||
\(346\) | −6.52301 | + | 20.0758i | −0.350679 | + | 1.07928i | ||||
\(347\) | −8.44647 | + | 25.9956i | −0.453430 | + | 1.39552i | 0.419538 | + | 0.907738i | \(0.362192\pi\) |
−0.872968 | + | 0.487777i | \(0.837808\pi\) | |||||||
\(348\) | −0.191603 | + | 0.913777i | −0.0102710 | + | 0.0489836i | ||||
\(349\) | −20.7012 | + | 28.4928i | −1.10811 | + | 1.52518i | −0.283940 | + | 0.958842i | \(0.591642\pi\) |
−0.824171 | + | 0.566341i | \(0.808358\pi\) | |||||||
\(350\) | −1.30582 | + | 0.424287i | −0.0697990 | + | 0.0226791i | ||||
\(351\) | −11.7818 | + | 8.70952i | −0.628868 | + | 0.464880i | ||||
\(352\) | −2.28578 | − | 2.40317i | −0.121832 | − | 0.128089i | ||||
\(353\) | 8.71861i | 0.464045i | 0.972710 | + | 0.232022i | \(0.0745343\pi\) | ||||
−0.972710 | + | 0.232022i | \(0.925466\pi\) | |||||||
\(354\) | −3.15370 | + | 5.49724i | −0.167617 | + | 0.292175i | ||||
\(355\) | 23.9830 | + | 17.4246i | 1.27288 | + | 0.924804i | ||||
\(356\) | −0.551590 | − | 0.759199i | −0.0292342 | − | 0.0402375i | ||||
\(357\) | −3.07108 | + | 1.37747i | −0.162539 | + | 0.0729035i | ||||
\(358\) | −13.1469 | − | 4.27170i | −0.694837 | − | 0.225766i | ||||
\(359\) | 26.4454 | − | 19.2137i | 1.39573 | − | 1.01406i | 0.400525 | − | 0.916286i | \(-0.368828\pi\) |
0.995209 | − | 0.0977735i | \(-0.0311721\pi\) | |||||||
\(360\) | 5.65598 | + | 5.03658i | 0.298096 | + | 0.265451i | ||||
\(361\) | 5.46962 | + | 16.8337i | 0.287875 | + | 0.885987i | ||||
\(362\) | −10.4023 | −0.546733 | ||||||||
\(363\) | 1.09321 | + | 19.0212i | 0.0573787 | + | 0.998352i | ||||
\(364\) | −2.81969 | −0.147792 | ||||||||
\(365\) | 6.16975 | + | 18.9885i | 0.322939 | + | 0.993905i | ||||
\(366\) | 1.92058 | + | 17.8018i | 0.100390 | + | 0.930513i | ||||
\(367\) | −18.8187 | + | 13.6726i | −0.982328 | + | 0.713703i | −0.958228 | − | 0.286006i | \(-0.907672\pi\) |
−0.0241007 | + | 0.999710i | \(0.507672\pi\) | |||||||
\(368\) | −1.85628 | − | 0.603142i | −0.0967653 | − | 0.0314409i | ||||
\(369\) | −16.0104 | − | 7.02297i | −0.833469 | − | 0.365601i | ||||
\(370\) | 8.12057 | + | 11.1770i | 0.422169 | + | 0.581065i | ||||
\(371\) | 9.15989 | + | 6.65505i | 0.475558 | + | 0.345513i | ||||
\(372\) | −6.98007 | − | 4.00438i | −0.361900 | − | 0.207617i | ||||
\(373\) | 5.34127i | 0.276561i | 0.990393 | + | 0.138280i | \(0.0441575\pi\) | ||||
−0.990393 | + | 0.138280i | \(0.955843\pi\) | |||||||
\(374\) | −4.44189 | − | 4.67002i | −0.229685 | − | 0.241481i | ||||
\(375\) | −10.6442 | − | 11.7564i | −0.549664 | − | 0.607096i | ||||
\(376\) | 10.9676 | − | 3.56360i | 0.565613 | − | 0.183779i | ||||
\(377\) | −0.893394 | + | 1.22965i | −0.0460121 | + | 0.0633303i | ||||
\(378\) | −1.56485 | + | 4.95492i | −0.0804871 | + | 0.254854i | ||||
\(379\) | −8.33235 | + | 25.6443i | −0.428004 | + | 1.31726i | 0.472084 | + | 0.881553i | \(0.343502\pi\) |
−0.900088 | + | 0.435707i | \(0.856498\pi\) | |||||||
\(380\) | 0.889444 | − | 2.73743i | 0.0456275 | − | 0.140427i | ||||
\(381\) | 36.3352 | + | 7.61883i | 1.86151 | + | 0.390325i | ||||
\(382\) | 15.1990 | − | 20.9197i | 0.777651 | − | 1.07034i | ||||
\(383\) | 4.16997 | − | 1.35491i | 0.213076 | − | 0.0692325i | −0.200534 | − | 0.979687i | \(-0.564268\pi\) |
0.413610 | + | 0.910454i | \(0.364268\pi\) | |||||||
\(384\) | 1.28397 | − | 1.16251i | 0.0655223 | − | 0.0593239i | ||||
\(385\) | 3.98668 | − | 7.36272i | 0.203180 | − | 0.375239i | ||||
\(386\) | 6.95845i | 0.354176i | ||||||||
\(387\) | −4.58901 | − | 21.0201i | −0.233272 | − | 1.06851i | ||||
\(388\) | −0.0412414 | − | 0.0299636i | −0.00209372 | − | 0.00152117i | ||||
\(389\) | −17.1188 | − | 23.5620i | −0.867957 | − | 1.19464i | −0.979613 | − | 0.200894i | \(-0.935615\pi\) |
0.111656 | − | 0.993747i | \(-0.464385\pi\) | |||||||
\(390\) | 5.04571 | + | 11.2494i | 0.255499 | + | 0.569637i | ||||
\(391\) | −3.60726 | − | 1.17207i | −0.182427 | − | 0.0592741i | ||||
\(392\) | −0.809017 | + | 0.587785i | −0.0408615 | + | 0.0296876i | ||||
\(393\) | −13.7150 | + | 1.47967i | −0.691830 | + | 0.0746397i | ||||
\(394\) | −0.788885 | − | 2.42794i | −0.0397434 | − | 0.122318i | ||||
\(395\) | −42.7246 | −2.14971 | ||||||||
\(396\) | −9.94451 | + | 0.326623i | −0.499731 | + | 0.0164134i | ||||
\(397\) | 1.67904 | 0.0842687 | 0.0421344 | − | 0.999112i | \(-0.486584\pi\) | ||||
0.0421344 | + | 0.999112i | \(0.486584\pi\) | |||||||
\(398\) | 4.27325 | + | 13.1517i | 0.214199 | + | 0.659236i | ||||
\(399\) | 1.96341 | − | 0.211827i | 0.0982935 | − | 0.0106046i | ||||
\(400\) | 1.11080 | − | 0.807041i | 0.0555399 | − | 0.0403521i | ||||
\(401\) | 19.7583 | + | 6.41987i | 0.986684 | + | 0.320593i | 0.757532 | − | 0.652798i | \(-0.226405\pi\) |
0.229152 | + | 0.973391i | \(0.426405\pi\) | |||||||
\(402\) | 0.0551142 | + | 0.122877i | 0.00274885 | + | 0.00612857i | ||||
\(403\) | −7.70018 | − | 10.5984i | −0.383573 | − | 0.527944i | ||||
\(404\) | −10.9177 | − | 7.93218i | −0.543176 | − | 0.394641i | ||||
\(405\) | 22.5684 | − | 2.62349i | 1.12143 | − | 0.130362i | ||||
\(406\) | 0.539043i | 0.0267522i | ||||||||
\(407\) | −17.8505 | − | 3.28718i | −0.884816 | − | 0.162939i | ||||
\(408\) | 2.49511 | − | 2.25907i | 0.123526 | − | 0.111841i | ||||
\(409\) | −17.4300 | + | 5.66334i | −0.861857 | + | 0.280034i | −0.706404 | − | 0.707809i | \(-0.749684\pi\) |
−0.155453 | + | 0.987843i | \(0.549684\pi\) | |||||||
\(410\) | −8.64742 | + | 11.9021i | −0.427065 | + | 0.587805i | ||||
\(411\) | 12.7966 | + | 2.68322i | 0.631210 | + | 0.132354i | ||||
\(412\) | 5.43841 | − | 16.7377i | 0.267931 | − | 0.824607i | ||||
\(413\) | −1.13070 | + | 3.47994i | −0.0556382 | + | 0.171237i | ||||
\(414\) | −5.05476 | + | 2.95558i | −0.248428 | + | 0.145259i | ||||
\(415\) | 3.93725 | − | 5.41917i | 0.193272 | − | 0.266016i | ||||
\(416\) | 2.68168 | − | 0.871332i | 0.131480 | − | 0.0427206i | ||||
\(417\) | 21.5031 | + | 23.7499i | 1.05301 | + | 1.16304i | ||||
\(418\) | 1.63188 | + | 3.41122i | 0.0798180 | + | 0.166848i | ||||
\(419\) | − | 14.2668i | − | 0.696977i | −0.937313 | − | 0.348489i | \(-0.886695\pi\) | ||
0.937313 | − | 0.348489i | \(-0.113305\pi\) | |||||||
\(420\) | 3.79273 | + | 2.17584i | 0.185066 | + | 0.106170i | ||||
\(421\) | −1.77462 | − | 1.28933i | −0.0864895 | − | 0.0628383i | 0.543700 | − | 0.839280i | \(-0.317023\pi\) |
−0.630190 | + | 0.776441i | \(0.717023\pi\) | |||||||
\(422\) | −14.7914 | − | 20.3586i | −0.720035 | − | 0.991043i | ||||
\(423\) | 13.8974 | − | 31.6822i | 0.675714 | − | 1.54044i | ||||
\(424\) | −10.7681 | − | 3.49876i | −0.522945 | − | 0.169915i | ||||
\(425\) | 2.15858 | − | 1.56830i | 0.104707 | − | 0.0760738i | ||||
\(426\) | −2.18168 | − | 20.2218i | −0.105703 | − | 0.979750i | ||||
\(427\) | 3.19446 | + | 9.83154i | 0.154591 | + | 0.475782i | ||||
\(428\) | 8.21400 | 0.397039 | ||||||||
\(429\) | −14.9890 | − | 6.14024i | −0.723674 | − | 0.296453i | ||||
\(430\) | −18.1049 | −0.873096 | ||||||||
\(431\) | −4.07361 | − | 12.5373i | −0.196219 | − | 0.603900i | −0.999960 | − | 0.00892107i | \(-0.997160\pi\) |
0.803741 | − | 0.594979i | \(-0.202840\pi\) | |||||||
\(432\) | −0.0428954 | − | 5.19598i | −0.00206381 | − | 0.249991i | ||||
\(433\) | 27.4189 | − | 19.9210i | 1.31767 | − | 0.957343i | 0.317712 | − | 0.948187i | \(-0.397086\pi\) |
0.999958 | − | 0.00915582i | \(-0.00291443\pi\) | |||||||
\(434\) | −4.41863 | − | 1.43570i | −0.212101 | − | 0.0689158i | ||||
\(435\) | 2.15056 | − | 0.964593i | 0.103112 | − | 0.0462487i | ||||
\(436\) | 0.760063 | + | 1.04614i | 0.0364004 | + | 0.0501008i | ||||
\(437\) | 1.80036 | + | 1.30803i | 0.0861227 | + | 0.0625718i | ||||
\(438\) | 6.81658 | − | 11.8821i | 0.325709 | − | 0.567747i | ||||
\(439\) | 31.9717i | 1.52592i | 0.646443 | + | 0.762962i | \(0.276256\pi\) | ||||
−0.646443 | + | 0.762962i | \(0.723744\pi\) | |||||||
\(440\) | −1.51635 | + | 8.23431i | −0.0722893 | + | 0.392555i | ||||
\(441\) | −0.297161 | + | 2.98525i | −0.0141505 | + | 0.142155i | ||||
\(442\) | 5.21125 | − | 1.69324i | 0.247874 | − | 0.0805391i | ||||
\(443\) | 4.73709 | − | 6.52004i | 0.225066 | − | 0.309777i | −0.681519 | − | 0.731801i | \(-0.738680\pi\) |
0.906585 | + | 0.422024i | \(0.138680\pi\) | |||||||
\(444\) | 1.94524 | − | 9.27711i | 0.0923172 | − | 0.440272i | ||||
\(445\) | −0.732071 | + | 2.25308i | −0.0347035 | + | 0.106806i | ||||
\(446\) | 0.183033 | − | 0.563318i | 0.00866687 | − | 0.0266739i | ||||
\(447\) | −5.63477 | + | 26.8729i | −0.266515 | + | 1.27104i | ||||
\(448\) | 0.587785 | − | 0.809017i | 0.0277702 | − | 0.0382225i | ||||
\(449\) | 19.3529 | − | 6.28815i | 0.913321 | − | 0.296756i | 0.185597 | − | 0.982626i | \(-0.440578\pi\) |
0.727724 | + | 0.685870i | \(0.240578\pi\) | |||||||
\(450\) | 0.408008 | − | 4.09881i | 0.0192337 | − | 0.193220i | ||||
\(451\) | −2.54486 | − | 19.1599i | −0.119833 | − | 0.902206i | ||||
\(452\) | − | 8.54984i | − | 0.402151i | ||||||
\(453\) | 10.5359 | − | 18.3653i | 0.495021 | − | 0.862876i | ||||
\(454\) | −15.5146 | − | 11.2720i | −0.728138 | − | 0.529023i | ||||
\(455\) | 4.18401 | + | 5.75879i | 0.196149 | + | 0.269976i | ||||
\(456\) | −1.80186 | + | 0.808187i | −0.0843796 | + | 0.0378468i | ||||
\(457\) | 36.5922 | + | 11.8895i | 1.71171 | + | 0.556168i | 0.990617 | − | 0.136671i | \(-0.0436402\pi\) |
0.721093 | + | 0.692839i | \(0.243640\pi\) | |||||||
\(458\) | −21.1174 | + | 15.3427i | −0.986750 | + | 0.716916i | ||||
\(459\) | −0.0833576 | − | 10.0972i | −0.00389080 | − | 0.471297i | ||||
\(460\) | 1.52262 | + | 4.68615i | 0.0709926 | + | 0.218493i | ||||
\(461\) | −13.4718 | −0.627443 | −0.313722 | − | 0.949515i | \(-0.601576\pi\) | ||||
−0.313722 | + | 0.949515i | \(0.601576\pi\) | |||||||
\(462\) | −5.58057 | + | 1.36282i | −0.259631 | + | 0.0634042i | ||||
\(463\) | −9.34629 | −0.434359 | −0.217180 | − | 0.976132i | \(-0.569686\pi\) | ||||
−0.217180 | + | 0.976132i | \(0.569686\pi\) | |||||||
\(464\) | −0.166573 | − | 0.512660i | −0.00773297 | − | 0.0237996i | ||||
\(465\) | 2.17907 | + | 20.1977i | 0.101052 | + | 0.936645i | ||||
\(466\) | 9.29045 | − | 6.74991i | 0.430372 | − | 0.312683i | ||||
\(467\) | 26.9650 | + | 8.76146i | 1.24779 | + | 0.405432i | 0.857129 | − | 0.515102i | \(-0.172246\pi\) |
0.390662 | + | 0.920534i | \(0.372246\pi\) | |||||||
\(468\) | 3.39803 | − | 7.74656i | 0.157074 | − | 0.358085i | ||||
\(469\) | 0.0457019 | + | 0.0629032i | 0.00211032 | + | 0.00290460i | ||||
\(470\) | −23.5525 | − | 17.1119i | −1.08640 | − | 0.789313i | ||||
\(471\) | −15.2868 | − | 8.76984i | −0.704378 | − | 0.404093i | ||||
\(472\) | − | 3.65903i | − | 0.168420i | ||||||
\(473\) | 17.2349 | − | 16.3930i | 0.792460 | − | 0.753749i | ||||
\(474\) | 19.6743 | + | 21.7300i | 0.903672 | + | 0.998092i | ||||
\(475\) | −1.48884 | + | 0.483752i | −0.0683125 | + | 0.0221961i | ||||
\(476\) | 1.14223 | − | 1.57214i | 0.0523539 | − | 0.0720590i | ||||
\(477\) | −29.3221 | + | 17.1450i | −1.34257 | + | 0.785015i | ||||
\(478\) | −2.18527 | + | 6.72556i | −0.0999518 | + | 0.307620i | ||||
\(479\) | 0.654537 | − | 2.01446i | 0.0299066 | − | 0.0920430i | −0.934989 | − | 0.354676i | \(-0.884591\pi\) |
0.964896 | + | 0.262633i | \(0.0845910\pi\) | |||||||
\(480\) | −4.27947 | − | 0.897328i | −0.195330 | − | 0.0409573i | ||||
\(481\) | 9.07017 | − | 12.4840i | 0.413564 | − | 0.569222i | ||||
\(482\) | −7.93287 | + | 2.57755i | −0.361332 | + | 0.117404i | ||||
\(483\) | −2.50606 | + | 2.26899i | −0.114030 | + | 0.103243i | ||||
\(484\) | −6.01222 | − | 9.21158i | −0.273283 | − | 0.418708i | ||||
\(485\) | 0.128691i | 0.00584356i | ||||||||
\(486\) | −11.7269 | − | 10.2703i | −0.531943 | − | 0.465872i | ||||
\(487\) | 26.5592 | + | 19.2964i | 1.20351 | + | 0.874401i | 0.994625 | − | 0.103539i | \(-0.0330166\pi\) |
0.208885 | + | 0.977940i | \(0.433017\pi\) | |||||||
\(488\) | −6.07623 | − | 8.36321i | −0.275058 | − | 0.378585i | ||||
\(489\) | −4.54670 | − | 10.1369i | −0.205609 | − | 0.458406i | ||||
\(490\) | 2.40093 | + | 0.780109i | 0.108463 | + | 0.0352417i | ||||
\(491\) | 11.5525 | − | 8.39336i | 0.521356 | − | 0.378787i | −0.295759 | − | 0.955263i | \(-0.595572\pi\) |
0.817114 | + | 0.576476i | \(0.195572\pi\) | |||||||
\(492\) | 10.0356 | − | 1.08271i | 0.452439 | − | 0.0488124i | ||||
\(493\) | −0.323698 | − | 0.996239i | −0.0145786 | − | 0.0448683i | ||||
\(494\) | −3.21488 | −0.144644 | ||||||||
\(495\) | 15.4233 | + | 19.8255i | 0.693225 | + | 0.891091i | ||||
\(496\) | 4.64602 | 0.208612 | ||||||||
\(497\) | −3.62873 | − | 11.1681i | −0.162771 | − | 0.500957i | ||||
\(498\) | −4.56930 | + | 0.492969i | −0.204755 | + | 0.0220905i | ||||
\(499\) | −27.3474 | + | 19.8690i | −1.22424 | + | 0.889460i | −0.996445 | − | 0.0842500i | \(-0.973151\pi\) |
−0.227792 | + | 0.973710i | \(0.573151\pi\) | |||||||
\(500\) | 8.70811 | + | 2.82944i | 0.389439 | + | 0.126536i | ||||
\(501\) | −5.24370 | − | 11.6909i | −0.234271 | − | 0.522309i | ||||
\(502\) | −10.5766 | − | 14.5575i | −0.472057 | − | 0.649731i | ||||
\(503\) | 28.6847 | + | 20.8406i | 1.27899 | + | 0.929238i | 0.999522 | − | 0.0309182i | \(-0.00984314\pi\) |
0.279464 | + | 0.960156i | \(0.409843\pi\) | |||||||
\(504\) | −0.639875 | − | 2.93097i | −0.0285023 | − | 0.130556i | ||||
\(505\) | 34.0680i | 1.51601i | ||||||||
\(506\) | −5.69249 | − | 3.08231i | −0.253062 | − | 0.137025i | ||||
\(507\) | −6.48322 | + | 5.86990i | −0.287930 | + | 0.260691i | ||||
\(508\) | −20.3852 | + | 6.62357i | −0.904449 | + | 0.293873i | ||||
\(509\) | −15.1683 | + | 20.8774i | −0.672323 | + | 0.925373i | −0.999810 | − | 0.0194827i | \(-0.993798\pi\) |
0.327488 | + | 0.944856i | \(0.393798\pi\) | |||||||
\(510\) | −8.31618 | − | 1.74376i | −0.368247 | − | 0.0772148i | ||||
\(511\) | 2.44396 | − | 7.52175i | 0.108115 | − | 0.332743i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | −1.78417 | + | 5.64937i | −0.0787729 | + | 0.249426i | ||||
\(514\) | −13.8716 | + | 19.0926i | −0.611848 | + | 0.842137i | ||||
\(515\) | −42.2541 | + | 13.7292i | −1.86194 | + | 0.604980i | ||||
\(516\) | 8.33717 | + | 9.20828i | 0.367023 | + | 0.405372i | ||||
\(517\) | 37.9145 | − | 5.03588i | 1.66748 | − | 0.221478i | ||||
\(518\) | − | 5.47262i | − | 0.240453i | ||||||
\(519\) | −31.7136 | − | 18.1937i | −1.39207 | − | 0.798613i | ||||
\(520\) | −5.75879 | − | 4.18401i | −0.252540 | − | 0.183481i | ||||
\(521\) | −12.2166 | − | 16.8147i | −0.535218 | − | 0.736665i | 0.452696 | − | 0.891665i | \(-0.350462\pi\) |
−0.987914 | + | 0.155000i | \(0.950462\pi\) | |||||||
\(522\) | −1.48092 | − | 0.649605i | −0.0648180 | − | 0.0284324i | ||||
\(523\) | 14.0346 | + | 4.56011i | 0.613689 | + | 0.199400i | 0.599336 | − | 0.800497i | \(-0.295431\pi\) |
0.0143530 | + | 0.999897i | \(0.495431\pi\) | |||||||
\(524\) | 6.44326 | − | 4.68130i | 0.281475 | − | 0.204504i | ||||
\(525\) | −0.255091 | − | 2.36442i | −0.0111331 | − | 0.103192i | ||||
\(526\) | −2.85581 | − | 8.78929i | −0.124519 | − | 0.383231i | ||||
\(527\) | 9.02849 | 0.393287 | ||||||||
\(528\) | 4.88630 | − | 3.02061i | 0.212649 | − | 0.131455i | ||||
\(529\) | 19.1904 | 0.834367 | ||||||||
\(530\) | 8.83258 | + | 27.1839i | 0.383663 | + | 1.18079i | ||||
\(531\) | −8.19787 | − | 7.30010i | −0.355757 | − | 0.316797i | ||||
\(532\) | −0.922404 | + | 0.670165i | −0.0399913 | + | 0.0290554i | ||||
\(533\) | 15.6280 | + | 5.07784i | 0.676923 | + | 0.219946i | ||||
\(534\) | 1.48305 | − | 0.665191i | 0.0641777 | − | 0.0287856i | ||||
\(535\) | −12.1884 | − | 16.7759i | −0.526950 | − | 0.725284i | ||||
\(536\) | −0.0629032 | − | 0.0457019i | −0.00271700 | − | 0.00197402i | ||||
\(537\) | 11.9144 | − | 20.7681i | 0.514145 | − | 0.896211i | ||||
\(538\) | − | 10.3816i | − | 0.447582i | ||||||
\(539\) | −2.99189 | + | 1.43128i | −0.128870 | + | 0.0616497i | ||||
\(540\) | −10.5484 | + | 7.79768i | −0.453929 | + | 0.335559i | ||||
\(541\) | 8.65944 | − | 2.81362i | 0.372298 | − | 0.120967i | −0.116891 | − | 0.993145i | \(-0.537293\pi\) |
0.489189 | + | 0.872178i | \(0.337293\pi\) | |||||||
\(542\) | 3.36785 | − | 4.63545i | 0.144662 | − | 0.199110i | ||||
\(543\) | 3.69750 | − | 17.6338i | 0.158675 | − | 0.756741i | ||||
\(544\) | −0.600505 | + | 1.84816i | −0.0257464 | + | 0.0792394i | ||||
\(545\) | 1.00876 | − | 3.10463i | 0.0432103 | − | 0.132988i | ||||
\(546\) | 1.00226 | − | 4.77990i | 0.0428927 | − | 0.204561i | ||||
\(547\) | 7.16764 | − | 9.86541i | 0.306466 | − | 0.421815i | −0.627809 | − | 0.778367i | \(-0.716048\pi\) |
0.934275 | + | 0.356553i | \(0.116048\pi\) | |||||||
\(548\) | −7.17933 | + | 2.33271i | −0.306686 | + | 0.0996483i | ||||
\(549\) | −30.8600 | − | 3.07189i | −1.31707 | − | 0.131105i | ||||
\(550\) | 4.10793 | − | 1.96518i | 0.175163 | − | 0.0837956i | ||||
\(551\) | 0.614591i | 0.0261825i | ||||||||
\(552\) | 1.68225 | − | 2.93235i | 0.0716014 | − | 0.124809i | ||||
\(553\) | 13.6919 | + | 9.94772i | 0.582237 | + | 0.423020i | ||||
\(554\) | −5.53747 | − | 7.62168i | −0.235265 | − | 0.323814i | ||||
\(555\) | −21.8336 | + | 9.79301i | −0.926784 | + | 0.415690i | ||||
\(556\) | −17.5919 | − | 5.71596i | −0.746063 | − | 0.242411i | ||||
\(557\) | 11.4718 | − | 8.33476i | 0.486076 | − | 0.353155i | −0.317597 | − | 0.948226i | \(-0.602876\pi\) |
0.803673 | + | 0.595071i | \(0.202876\pi\) | |||||||
\(558\) | 9.26923 | − | 10.4092i | 0.392398 | − | 0.440655i | ||||
\(559\) | 6.24895 | + | 19.2323i | 0.264302 | + | 0.813439i | ||||
\(560\) | −2.52448 | −0.106679 | ||||||||
\(561\) | 9.49542 | − | 5.86987i | 0.400897 | − | 0.247826i | ||||
\(562\) | −2.24599 | −0.0947415 | ||||||||
\(563\) | −3.87311 | − | 11.9202i | −0.163232 | − | 0.502377i | 0.835669 | − | 0.549233i | \(-0.185080\pi\) |
−0.998902 | + | 0.0468556i | \(0.985080\pi\) | |||||||
\(564\) | 2.14252 | + | 19.8589i | 0.0902163 | + | 0.836210i | ||||
\(565\) | −17.4618 | + | 12.6867i | −0.734623 | + | 0.533735i | ||||
\(566\) | −20.7177 | − | 6.73160i | −0.870831 | − | 0.282950i | ||||
\(567\) | −7.84329 | − | 4.41394i | −0.329387 | − | 0.185368i | ||||
\(568\) | 6.90226 | + | 9.50014i | 0.289612 | + | 0.398617i | ||||
\(569\) | −6.47128 | − | 4.70166i | −0.271290 | − | 0.197104i | 0.443819 | − | 0.896116i | \(-0.353623\pi\) |
−0.715109 | + | 0.699012i | \(0.753623\pi\) | |||||||
\(570\) | 4.32429 | + | 2.48079i | 0.181125 | + | 0.103909i | ||||
\(571\) | 5.86022i | 0.245243i | 0.992454 | + | 0.122621i | \(0.0391301\pi\) | ||||
−0.992454 | + | 0.122621i | \(0.960870\pi\) | |||||||
\(572\) | 9.27044 | − | 1.23132i | 0.387616 | − | 0.0514839i | ||||
\(573\) | 30.0603 | + | 33.2011i | 1.25579 | + | 1.38700i | ||||
\(574\) | 5.54244 | − | 1.80085i | 0.231337 | − | 0.0751660i | ||||
\(575\) | 1.57519 | − | 2.16806i | 0.0656900 | − | 0.0904145i | ||||
\(576\) | 1.51428 | + | 2.58978i | 0.0630948 | + | 0.107908i | ||||
\(577\) | 3.52423 | − | 10.8465i | 0.146716 | − | 0.451544i | −0.850512 | − | 0.525956i | \(-0.823708\pi\) |
0.997228 | + | 0.0744115i | \(0.0237078\pi\) | |||||||
\(578\) | 4.08634 | − | 12.5765i | 0.169969 | − | 0.523112i | ||||
\(579\) | −11.7959 | − | 2.47338i | −0.490220 | − | 0.102790i | ||||
\(580\) | −0.799861 | + | 1.10091i | −0.0332124 | + | 0.0457130i | ||||
\(581\) | −2.52353 | + | 0.819945i | −0.104694 | + | 0.0340170i | ||||
\(582\) | 0.0654532 | − | 0.0592613i | 0.00271312 | − | 0.00245646i | ||||
\(583\) | −33.0216 | − | 17.8801i | −1.36761 | − | 0.740520i | ||||
\(584\) | 7.90883i | 0.327270i | ||||||||
\(585\) | −20.8634 | + | 4.55480i | −0.862595 | + | 0.188318i | ||||
\(586\) | −3.23645 | − | 2.35142i | −0.133696 | − | 0.0971361i | ||||
\(587\) | 24.0085 | + | 33.0449i | 0.990938 | + | 1.36391i | 0.930723 | + | 0.365724i | \(0.119178\pi\) |
0.0602145 | + | 0.998185i | \(0.480822\pi\) | |||||||
\(588\) | −0.708840 | − | 1.58036i | −0.0292321 | − | 0.0651731i | ||||
\(589\) | −5.03791 | − | 1.63692i | −0.207584 | − | 0.0674480i | ||||
\(590\) | −7.47302 | + | 5.42947i | −0.307659 | + | 0.223528i | ||||
\(591\) | 4.39622 | − | 0.474295i | 0.180836 | − | 0.0195099i | ||||
\(592\) | 1.69113 | + | 5.20477i | 0.0695051 | + | 0.213915i | ||||
\(593\) | 21.7746 | 0.894177 | 0.447089 | − | 0.894490i | \(-0.352461\pi\) | ||||
0.447089 | + | 0.894490i | \(0.352461\pi\) | |||||||
\(594\) | 2.98109 | − | 16.9739i | 0.122316 | − | 0.696447i | ||||
\(595\) | −4.90577 | −0.201117 | ||||||||
\(596\) | −4.89868 | − | 15.0766i | −0.200658 | − | 0.617562i | ||||
\(597\) | −23.8135 | + | 2.56917i | −0.974622 | + | 0.105149i | ||||
\(598\) | 4.45242 | − | 3.23487i | 0.182073 | − | 0.132284i | ||||
\(599\) | 33.1497 | + | 10.7710i | 1.35446 | + | 0.440091i | 0.894190 | − | 0.447687i | \(-0.147752\pi\) |
0.460271 | + | 0.887778i | \(0.347752\pi\) | |||||||
\(600\) | 0.973252 | + | 2.16987i | 0.0397328 | + | 0.0885846i | ||||
\(601\) | 0.813756 | + | 1.12004i | 0.0331938 | + | 0.0456873i | 0.825291 | − | 0.564707i | \(-0.191011\pi\) |
−0.792098 | + | 0.610395i | \(0.791011\pi\) | |||||||
\(602\) | 5.80204 | + | 4.21543i | 0.236474 | + | 0.171808i | ||||
\(603\) | −0.227890 | + | 0.0497520i | −0.00928041 | + | 0.00202606i | ||||
\(604\) | 12.2241i | 0.497393i | ||||||||
\(605\) | −9.89202 | + | 25.9477i | −0.402168 | + | 1.05492i | ||||
\(606\) | 17.3272 | − | 15.6881i | 0.703870 | − | 0.637284i | ||||
\(607\) | −7.17914 | + | 2.33264i | −0.291392 | + | 0.0946791i | −0.451066 | − | 0.892491i | \(-0.648956\pi\) |
0.159673 | + | 0.987170i | \(0.448956\pi\) | |||||||
\(608\) | 0.670165 | − | 0.922404i | 0.0271788 | − | 0.0374084i | ||||
\(609\) | −0.913777 | − | 0.191603i | −0.0370281 | − | 0.00776414i | ||||
\(610\) | −8.06437 | + | 24.8196i | −0.326517 | + | 1.00491i | ||||
\(611\) | −10.0483 | + | 30.9253i | −0.406509 | + | 1.25111i | ||||
\(612\) | 2.94265 | + | 5.03266i | 0.118950 | + | 0.203433i | ||||
\(613\) | −10.1137 | + | 13.9204i | −0.408490 | + | 0.562238i | −0.962849 | − | 0.270039i | \(-0.912963\pi\) |
0.554359 | + | 0.832277i | \(0.312963\pi\) | |||||||
\(614\) | −12.2209 | + | 3.97082i | −0.493196 | + | 0.160249i | ||||
\(615\) | −17.1026 | − | 18.8896i | −0.689644 | − | 0.761702i | ||||
\(616\) | 2.40317 | − | 2.28578i | 0.0968264 | − | 0.0920966i | ||||
\(617\) | − | 30.1180i | − | 1.21251i | −0.795272 | − | 0.606253i | \(-0.792672\pi\) | ||
0.795272 | − | 0.606253i | \(-0.207328\pi\) | |||||||
\(618\) | 26.4404 | + | 15.1685i | 1.06359 | + | 0.610168i | ||||
\(619\) | −15.9358 | − | 11.5781i | −0.640516 | − | 0.465362i | 0.219512 | − | 0.975610i | \(-0.429554\pi\) |
−0.860027 | + | 0.510248i | \(0.829554\pi\) | |||||||
\(620\) | −6.89402 | − | 9.48880i | −0.276870 | − | 0.381079i | ||||
\(621\) | −3.21354 | − | 9.61931i | −0.128955 | − | 0.386010i | ||||
\(622\) | −11.0050 | − | 3.57573i | −0.441258 | − | 0.143374i | ||||
\(623\) | 0.759199 | − | 0.551590i | 0.0304167 | − | 0.0220990i | ||||
\(624\) | 0.523865 | + | 4.85567i | 0.0209714 | + | 0.194382i | ||||
\(625\) | −9.26430 | − | 28.5126i | −0.370572 | − | 1.14050i | ||||
\(626\) | −28.1225 | −1.12400 | ||||||||
\(627\) | −6.36270 | + | 1.55383i | −0.254102 | + | 0.0620538i | ||||
\(628\) | 10.1751 | 0.406029 | ||||||||
\(629\) | 3.28634 | + | 10.1143i | 0.131035 | + | 0.403284i | ||||
\(630\) | −5.03658 | + | 5.65598i | −0.200662 | + | 0.225340i | ||||
\(631\) | −21.3831 | + | 15.5357i | −0.851247 | + | 0.618467i | −0.925490 | − | 0.378773i | \(-0.876346\pi\) |
0.0742428 | + | 0.997240i | \(0.476346\pi\) | |||||||
\(632\) | −16.0957 | − | 5.22983i | −0.640255 | − | 0.208031i | ||||
\(633\) | 39.7693 | − | 17.8377i | 1.58069 | − | 0.708986i | ||||
\(634\) | 2.32995 | + | 3.20690i | 0.0925340 | + | 0.127362i | ||||
\(635\) | 43.7764 | + | 31.8054i | 1.73721 | + | 1.26216i | ||||
\(636\) | 9.75858 | − | 17.0103i | 0.386953 | − | 0.674501i | ||||
\(637\) | − | 2.81969i | − | 0.111720i | ||||||
\(638\) | −0.235392 | − | 1.77224i | −0.00931926 | − | 0.0701636i | ||||
\(639\) | 35.0552 | + | 3.48950i | 1.38676 | + | 0.138043i | ||||
\(640\) | 2.40093 | − | 0.780109i | 0.0949050 | − | 0.0308365i | ||||
\(641\) | 6.50661 | − | 8.95557i | 0.256995 | − | 0.353724i | −0.660950 | − | 0.750430i | \(-0.729847\pi\) |
0.917946 | + | 0.396706i | \(0.129847\pi\) | |||||||
\(642\) | −2.91967 | + | 13.9243i | −0.115230 | + | 0.549547i | ||||
\(643\) | −0.699774 | + | 2.15368i | −0.0275964 | + | 0.0849330i | −0.963906 | − | 0.266242i | \(-0.914218\pi\) |
0.936310 | + | 0.351175i | \(0.114218\pi\) | |||||||
\(644\) | 0.603142 | − | 1.85628i | 0.0237671 | − | 0.0731477i | ||||
\(645\) | 6.43539 | − | 30.6912i | 0.253393 | − | 1.20846i | ||||
\(646\) | 1.30232 | − | 1.79248i | 0.0512389 | − | 0.0705243i | ||||
\(647\) | −6.52587 | + | 2.12038i | −0.256558 | + | 0.0833609i | −0.434472 | − | 0.900685i | \(-0.643065\pi\) |
0.177914 | + | 0.984046i | \(0.443065\pi\) | |||||||
\(648\) | 8.82339 | + | 1.77419i | 0.346616 | + | 0.0696970i | ||||
\(649\) | 2.19783 | − | 11.9349i | 0.0862723 | − | 0.468488i | ||||
\(650\) | 3.87149i | 0.151852i | ||||||||
\(651\) | 4.00438 | − | 6.98007i | 0.156944 | − | 0.273571i | ||||
\(652\) | 5.18926 | + | 3.77022i | 0.203227 | + | 0.147653i | ||||
\(653\) | 8.19471 | + | 11.2790i | 0.320684 | + | 0.441383i | 0.938676 | − | 0.344801i | \(-0.112054\pi\) |
−0.617992 | + | 0.786184i | \(0.712054\pi\) | |||||||
\(654\) | −2.04356 | + | 0.916598i | −0.0799095 | + | 0.0358418i | ||||
\(655\) | −19.1217 | − | 6.21303i | −0.747148 | − | 0.242763i | ||||
\(656\) | −4.71469 | + | 3.42542i | −0.184078 | + | 0.133740i | ||||
\(657\) | 17.7193 | + | 15.7788i | 0.691297 | + | 0.615592i | ||||
\(658\) | 3.56360 | + | 10.9676i | 0.138924 | + | 0.427563i | ||||
\(659\) | −6.67904 | −0.260178 | −0.130089 | − | 0.991502i | \(-0.541526\pi\) | ||||
−0.130089 | + | 0.991502i | \(0.541526\pi\) | |||||||
\(660\) | −13.4197 | − | 5.49739i | −0.522361 | − | 0.213986i | ||||
\(661\) | −28.4650 | −1.10716 | −0.553580 | − | 0.832796i | \(-0.686739\pi\) | ||||
−0.553580 | + | 0.832796i | \(0.686739\pi\) | |||||||
\(662\) | 10.6396 | + | 32.7455i | 0.413522 | + | 1.27269i | ||||
\(663\) | 1.01801 | + | 9.43589i | 0.0395363 | + | 0.366460i | ||||
\(664\) | 2.14664 | − | 1.55963i | 0.0833059 | − | 0.0605253i | ||||
\(665\) | 2.73743 | + | 0.889444i | 0.106153 | + | 0.0344911i | ||||
\(666\) | 15.0350 | + | 6.59510i | 0.582594 | + | 0.255555i | ||||
\(667\) | −0.618413 | − | 0.851173i | −0.0239451 | − | 0.0329575i | ||||
\(668\) | 5.98476 | + | 4.34819i | 0.231557 | + | 0.168236i | ||||
\(669\) | 0.889869 | + | 0.510506i | 0.0344043 | + | 0.0197373i | ||||
\(670\) | 0.196285i | 0.00758316i | ||||||||
\(671\) | −14.7959 | − | 30.9287i | −0.571189 | − | 1.19399i | ||||
\(672\) | 1.16251 | + | 1.28397i | 0.0448446 | + | 0.0495302i | ||||
\(673\) | 19.3493 | − | 6.28698i | 0.745862 | − | 0.242345i | 0.0886623 | − | 0.996062i | \(-0.471741\pi\) |
0.657200 | + | 0.753716i | \(0.271741\pi\) | |||||||
\(674\) | 9.02974 | − | 12.4284i | 0.347812 | − | 0.478723i | ||||
\(675\) | 6.80321 | + | 2.14857i | 0.261856 | + | 0.0826985i | ||||
\(676\) | 1.56034 | − | 4.80222i | 0.0600129 | − | 0.184701i | ||||
\(677\) | −2.63176 | + | 8.09974i | −0.101147 | + | 0.311298i | −0.988807 | − | 0.149201i | \(-0.952330\pi\) |
0.887660 | + | 0.460500i | \(0.152330\pi\) | |||||||
\(678\) | 14.4936 | + | 3.03904i | 0.556622 | + | 0.116714i | ||||
\(679\) | 0.0299636 | − | 0.0412414i | 0.00114990 | − | 0.00158270i | ||||
\(680\) | 4.66566 | − | 1.51596i | 0.178920 | − | 0.0581346i | ||||
\(681\) | 24.6229 | − | 22.2935i | 0.943551 | − | 0.854290i | ||||
\(682\) | 15.1543 | + | 2.79067i | 0.580288 | + | 0.106860i | ||||
\(683\) | − | 39.4066i | − | 1.50785i | −0.656959 | − | 0.753927i | \(-0.728157\pi\) | ||
0.656959 | − | 0.753927i | \(-0.271843\pi\) | |||||||
\(684\) | −0.729556 | − | 3.34175i | −0.0278953 | − | 0.127775i | ||||
\(685\) | 15.4173 | + | 11.2013i | 0.589064 | + | 0.427980i | ||||
\(686\) | −0.587785 | − | 0.809017i | −0.0224417 | − | 0.0308884i | ||||
\(687\) | −18.5025 | − | 41.2514i | −0.705914 | − | 1.57384i | ||||
\(688\) | −6.82071 | − | 2.21618i | −0.260037 | − | 0.0844912i | ||||
\(689\) | 25.8280 | − | 18.7652i | 0.983970 | − | 0.714896i | ||||
\(690\) | −8.48511 | + | 0.915435i | −0.323023 | + | 0.0348500i | ||||
\(691\) | −9.94210 | − | 30.5986i | −0.378215 | − | 1.16403i | −0.941284 | − | 0.337616i | \(-0.890379\pi\) |
0.563069 | − | 0.826410i | \(-0.309621\pi\) | |||||||
\(692\) | 21.1089 | 0.802440 | ||||||||
\(693\) | −0.326623 | − | 9.94451i | −0.0124074 | − | 0.377761i | ||||
\(694\) | 27.3334 | 1.03756 | ||||||||
\(695\) | 14.4298 | + | 44.4105i | 0.547355 | + | 1.68459i | ||||
\(696\) | 0.928262 | − | 0.100148i | 0.0351857 | − | 0.00379609i | ||||
\(697\) | −9.16193 | + | 6.65653i | −0.347033 | + | 0.252134i | ||||
\(698\) | 33.4953 | + | 10.8833i | 1.26781 | + | 0.411938i | ||||
\(699\) | 8.14006 | + | 18.1483i | 0.307885 | + | 0.686432i | ||||
\(700\) | 0.807041 | + | 1.11080i | 0.0305033 | + | 0.0419842i | ||||
\(701\) | 35.0108 | + | 25.4369i | 1.32234 | + | 0.960737i | 0.999900 | + | 0.0141470i | \(0.00450328\pi\) |
0.322441 | + | 0.946590i | \(0.395497\pi\) | |||||||
\(702\) | 11.9240 | + | 8.51381i | 0.450044 | + | 0.321333i | ||||
\(703\) | − | 6.23963i | − | 0.235332i | ||||||
\(704\) | −1.57921 | + | 2.91652i | −0.0595186 | + | 0.109921i | ||||
\(705\) | 37.3796 | − | 33.8435i | 1.40780 | − | 1.27462i | ||||
\(706\) | 8.29189 | − | 2.69420i | 0.312070 | − | 0.101398i | ||||
\(707\) | 7.93218 | − | 10.9177i | 0.298320 | − | 0.410603i | ||||
\(708\) | 6.20274 | + | 1.30060i | 0.233113 | + | 0.0488796i | ||||
\(709\) | −3.61390 | + | 11.1224i | −0.135723 | + | 0.417711i | −0.995702 | − | 0.0926179i | \(-0.970476\pi\) |
0.859979 | + | 0.510329i | \(0.170476\pi\) | |||||||
\(710\) | 9.16067 | − | 28.1937i | 0.343794 | − | 1.05809i | ||||
\(711\) | −43.8296 | + | 25.6277i | −1.64374 | + | 0.961114i | ||||
\(712\) | −0.551590 | + | 0.759199i | −0.0206717 | + | 0.0284522i | ||||
\(713\) | 8.62431 | − | 2.80221i | 0.322983 | − | 0.104944i | ||||
\(714\) | 2.25907 | + | 2.49511i | 0.0845435 | + | 0.0933770i | ||||
\(715\) | −16.2708 | − | 17.1064i | −0.608492 | − | 0.639743i | ||||
\(716\) | 13.8235i | 0.516609i | ||||||||
\(717\) | −10.6243 | − | 6.09503i | −0.396772 | − | 0.227623i | ||||
\(718\) | −26.4454 | − | 19.2137i | −0.986932 | − | 0.717048i | ||||
\(719\) | −15.8946 | − | 21.8771i | −0.592770 | − | 0.815878i | 0.402252 | − | 0.915529i | \(-0.368227\pi\) |
−0.995022 | + | 0.0996506i | \(0.968227\pi\) | |||||||
\(720\) | 3.04228 | − | 6.93554i | 0.113379 | − | 0.258472i | ||||
\(721\) | 16.7377 | + | 5.43841i | 0.623345 | + | 0.202537i | ||||
\(722\) | 14.3196 | − | 10.4038i | 0.532922 | − | 0.387190i | ||||
\(723\) | −1.54968 | − | 14.3639i | −0.0576332 | − | 0.534199i | ||||
\(724\) | 3.21449 | + | 9.89318i | 0.119466 | + | 0.367677i | ||||
\(725\) | 0.740117 | 0.0274872 | ||||||||
\(726\) | 17.7524 | − | 6.91757i | 0.658853 | − | 0.256735i | ||||
\(727\) | −15.6906 | −0.581932 | −0.290966 | − | 0.956733i | \(-0.593977\pi\) | ||||
−0.290966 | + | 0.956733i | \(0.593977\pi\) | |||||||
\(728\) | 0.871332 | + | 2.68168i | 0.0322937 | + | 0.0993898i | ||||
\(729\) | 21.5785 | − | 16.2287i | 0.799202 | − | 0.601062i | ||||
\(730\) | 16.1526 | − | 11.7356i | 0.597835 | − | 0.434353i | ||||
\(731\) | −13.2545 | − | 4.30665i | −0.490236 | − | 0.159287i | ||||
\(732\) | 16.3370 | − | 7.32763i | 0.603832 | − | 0.270837i | ||||
\(733\) | −19.4506 | − | 26.7715i | −0.718426 | − | 0.988829i | −0.999575 | − | 0.0291644i | \(-0.990715\pi\) |
0.281149 | − | 0.959664i | \(-0.409285\pi\) | |||||||
\(734\) | 18.8187 | + | 13.6726i | 0.694611 | + | 0.504665i | ||||
\(735\) | −2.17584 | + | 3.79273i | −0.0802570 | + | 0.139897i | ||||
\(736\) | 1.95181i | 0.0719446i | ||||||||
\(737\) | −0.177725 | − | 0.186853i | −0.00654659 | − | 0.00688281i | ||||
\(738\) | −1.73175 | + | 17.3970i | −0.0637467 | + | 0.640394i | ||||
\(739\) | −30.9838 | + | 10.0673i | −1.13976 | + | 0.370330i | −0.817277 | − | 0.576245i | \(-0.804517\pi\) |
−0.322482 | + | 0.946576i | \(0.604517\pi\) | |||||||
\(740\) | 8.12057 | − | 11.1770i | 0.298518 | − | 0.410875i | ||||
\(741\) | 1.14273 | − | 5.44982i | 0.0419792 | − | 0.200204i | ||||
\(742\) | 3.49876 | − | 10.7681i | 0.128444 | − | 0.395309i | ||||
\(743\) | −1.76778 | + | 5.44066i | −0.0648535 | + | 0.199599i | −0.978233 | − | 0.207512i | \(-0.933464\pi\) |
0.913379 | + | 0.407110i | \(0.133464\pi\) | |||||||
\(744\) | −1.65143 | + | 7.87587i | −0.0605443 | + | 0.288743i | ||||
\(745\) | −23.5228 | + | 32.3763i | −0.861808 | + | 1.18618i | ||||
\(746\) | 5.07985 | − | 1.65054i | 0.185987 | − | 0.0604307i | ||||
\(747\) | 0.788485 | − | 7.92104i | 0.0288491 | − | 0.289816i | ||||
\(748\) | −3.06883 | + | 5.66760i | −0.112208 | + | 0.207228i | ||||
\(749\) | 8.21400i | 0.300133i | ||||||||
\(750\) | −7.89172 | + | 13.7561i | −0.288165 | + | 0.502303i | ||||
\(751\) | 10.8574 | + | 7.88833i | 0.396191 | + | 0.287849i | 0.767988 | − | 0.640465i | \(-0.221258\pi\) |
−0.371797 | + | 0.928314i | \(0.621258\pi\) | |||||||
\(752\) | −6.77838 | − | 9.32963i | −0.247182 | − | 0.340217i | ||||
\(753\) | 28.4371 | − | 12.7549i | 1.03630 | − | 0.464813i | ||||
\(754\) | 1.44554 | + | 0.469685i | 0.0526435 | + | 0.0171049i | ||||
\(755\) | 24.9660 | − | 18.1388i | 0.908605 | − | 0.660140i | ||||
\(756\) | 5.19598 | − | 0.0428954i | 0.188976 | − | 0.00156009i | ||||
\(757\) | 8.49806 | + | 26.1543i | 0.308867 | + | 0.950596i | 0.978206 | + | 0.207638i | \(0.0665776\pi\) |
−0.669339 | + | 0.742958i | \(0.733422\pi\) | |||||||
\(758\) | 26.9640 | 0.979378 | ||||||||
\(759\) | 7.24848 | − | 8.55423i | 0.263103 | − | 0.310499i | ||||
\(760\) | −2.87830 | −0.104407 | ||||||||
\(761\) | 11.0811 | + | 34.1040i | 0.401689 | + | 1.23627i | 0.923629 | + | 0.383289i | \(0.125209\pi\) |
−0.521940 | + | 0.852982i | \(0.674791\pi\) | |||||||
\(762\) | −3.98224 | − | 36.9111i | −0.144261 | − | 1.33715i | ||||
\(763\) | −1.04614 | + | 0.760063i | −0.0378727 | + | 0.0275161i | ||||
\(764\) | −24.5926 | − | 7.99061i | −0.889728 | − | 0.289090i | ||||
\(765\) | 5.91198 | − | 13.4777i | 0.213748 | − | 0.487286i | ||||
\(766\) | −2.57719 | − | 3.54719i | −0.0931175 | − | 0.128165i | ||||
\(767\) | 8.34689 | + | 6.06437i | 0.301389 | + | 0.218972i | ||||
\(768\) | −1.50238 | − | 0.861894i | −0.0542124 | − | 0.0311009i | ||||
\(769\) | − | 48.1955i | − | 1.73797i | −0.494835 | − | 0.868987i | \(-0.664771\pi\) | ||
0.494835 | − | 0.868987i | \(-0.335229\pi\) | |||||||
\(770\) | −8.23431 | − | 1.51635i | −0.296744 | − | 0.0546456i | ||||
\(771\) | −27.4348 | − | 30.3013i | −0.988040 | − | 1.09128i | ||||
\(772\) | 6.61788 | − | 2.15028i | 0.238183 | − | 0.0773903i | ||||
\(773\) | 3.25071 | − | 4.47421i | 0.116920 | − | 0.160926i | −0.746546 | − | 0.665334i | \(-0.768289\pi\) |
0.863466 | + | 0.504408i | \(0.168289\pi\) | |||||||
\(774\) | −18.5732 | + | 10.8600i | −0.667600 | + | 0.390353i | ||||
\(775\) | −1.97124 | + | 6.06687i | −0.0708092 | + | 0.217928i | ||||
\(776\) | −0.0157528 | + | 0.0484822i | −0.000565493 | + | 0.00174041i | ||||
\(777\) | 9.27711 | + | 1.94524i | 0.332814 | + | 0.0697853i | ||||
\(778\) | −17.1188 | + | 23.5620i | −0.613738 | + | 0.844738i | ||||
\(779\) | 6.31924 | − | 2.05325i | 0.226410 | − | 0.0735651i | ||||
\(780\) | 9.13964 | − | 8.27502i | 0.327252 | − | 0.296293i | ||||
\(781\) | 16.8073 | + | 35.1333i | 0.601413 | + | 1.25717i | ||||
\(782\) | 3.79290i | 0.135634i | ||||||||
\(783\) | 1.62759 | − | 2.27953i | 0.0581654 | − | 0.0814637i | ||||
\(784\) | 0.809017 | + | 0.587785i | 0.0288935 | + | 0.0209923i | ||||
\(785\) | −15.0983 | − | 20.7811i | −0.538882 | − | 0.741708i | ||||
\(786\) | 5.64542 | + | 12.5865i | 0.201366 | + | 0.448946i | ||||
\(787\) | −19.5331 | − | 6.34668i | −0.696279 | − | 0.226235i | −0.0605702 | − | 0.998164i | \(-0.519292\pi\) |
−0.635708 | + | 0.771929i | \(0.719292\pi\) | |||||||
\(788\) | −2.06533 | + | 1.50055i | −0.0735742 | + | 0.0534548i | ||||
\(789\) | 15.9146 | − | 1.71698i | 0.566574 | − | 0.0611261i | ||||
\(790\) | 13.2026 | + | 40.6335i | 0.469728 | + | 1.44567i | ||||
\(791\) | 8.54984 | 0.303997 | ||||||||
\(792\) | 3.38366 | + | 9.35686i | 0.120233 | + | 0.332482i | ||||
\(793\) | 29.1485 | 1.03509 | ||||||||
\(794\) | −0.518853 | − | 1.59686i | −0.0184134 | − | 0.0566706i | ||||
\(795\) | −49.2213 | + | 5.31035i | −1.74570 | + | 0.188339i | ||||
\(796\) | 11.1875 | − | 8.12820i | 0.396531 | − | 0.288097i | ||||
\(797\) | −28.8795 | − | 9.38351i | −1.02296 | − | 0.332381i | −0.250959 | − | 0.967998i | \(-0.580746\pi\) |
−0.772005 | + | 0.635617i | \(0.780746\pi\) | |||||||
\(798\) | −0.808187 | − | 1.80186i | −0.0286095 | − | 0.0637850i | ||||
\(799\) | −13.1722 | − | 18.1300i | −0.466000 | − | 0.641395i | ||||
\(800\) | −1.11080 | − | 0.807041i | −0.0392726 | − | 0.0285332i | ||||
\(801\) | 0.600473 | + | 2.75048i | 0.0212167 | + | 0.0971835i | ||||
\(802\) | − | 20.7751i | − | 0.733596i | ||||||
\(803\) | −4.75051 | + | 25.7969i | −0.167642 | + | 0.910352i | ||||
\(804\) | 0.0998321 | − | 0.0903879i | 0.00352081 | − | 0.00318774i | ||||
\(805\) | −4.68615 | + | 1.52262i | −0.165165 | + | 0.0536654i | ||||
\(806\) | −7.70018 | + | 10.5984i | −0.271227 | + | 0.373312i | ||||
\(807\) | 17.5987 | + | 3.69014i | 0.619505 | + | 0.129899i | ||||
\(808\) | −4.17019 | + | 12.8345i | −0.146707 | + | 0.451518i | ||||
\(809\) | −11.3355 | + | 34.8870i | −0.398534 | + | 1.22656i | 0.527640 | + | 0.849468i | \(0.323077\pi\) |
−0.926175 | + | 0.377095i | \(0.876923\pi\) | |||||||
\(810\) | −9.46910 | − | 20.6531i | −0.332710 | − | 0.725676i | ||||
\(811\) | −10.6215 | + | 14.6193i | −0.372973 | + | 0.513353i | −0.953706 | − | 0.300741i | \(-0.902766\pi\) |
0.580733 | + | 0.814094i | \(0.302766\pi\) | |||||||
\(812\) | 0.512660 | − | 0.166573i | 0.0179908 | − | 0.00584558i | ||||
\(813\) | 6.66084 | + | 7.35680i | 0.233606 | + | 0.258014i | ||||
\(814\) | 2.38981 | + | 17.9926i | 0.0837629 | + | 0.630641i | ||||
\(815\) | − | 16.1927i | − | 0.567207i | ||||||
\(816\) | −2.91953 | − | 1.67490i | −0.102204 | − | 0.0586331i | ||||
\(817\) | 6.61522 | + | 4.80624i | 0.231437 | + | 0.168149i | ||||
\(818\) | 10.7723 | + | 14.8268i | 0.376645 | + | 0.518408i | ||||
\(819\) | 7.74656 | + | 3.39803i | 0.270687 | + | 0.118737i | ||||
\(820\) | 13.9918 | + | 4.54622i | 0.488615 | + | 0.158761i | ||||
\(821\) | −23.9291 | + | 17.3855i | −0.835133 | + | 0.606760i | −0.921007 | − | 0.389546i | \(-0.872632\pi\) |
0.0858739 | + | 0.996306i | \(0.472632\pi\) | |||||||
\(822\) | −1.40248 | − | 12.9995i | −0.0489170 | − | 0.453408i | ||||
\(823\) | −1.08677 | − | 3.34473i | −0.0378823 | − | 0.116590i | 0.930327 | − | 0.366731i | \(-0.119523\pi\) |
−0.968209 | + | 0.250141i | \(0.919523\pi\) | |||||||
\(824\) | −17.5991 | −0.613092 | ||||||||
\(825\) | 1.87118 | + | 7.66223i | 0.0651462 | + | 0.266765i | ||||
\(826\) | 3.65903 | 0.127314 | ||||||||
\(827\) | 0.383259 | + | 1.17955i | 0.0133272 | + | 0.0410170i | 0.957499 | − | 0.288437i | \(-0.0931355\pi\) |
−0.944172 | + | 0.329454i | \(0.893135\pi\) | |||||||
\(828\) | 4.37293 | + | 3.89404i | 0.151970 | + | 0.135327i | ||||
\(829\) | −16.8534 | + | 12.2447i | −0.585341 | + | 0.425275i | −0.840646 | − | 0.541585i | \(-0.817824\pi\) |
0.255304 | + | 0.966861i | \(0.417824\pi\) | |||||||
\(830\) | −6.37061 | − | 2.06994i | −0.221127 | − | 0.0718486i | ||||
\(831\) | 14.8885 | − | 6.67792i | 0.516475 | − | 0.231655i | ||||
\(832\) | −1.65737 | − | 2.28118i | −0.0574590 | − | 0.0790856i | ||||
\(833\) | 1.57214 | + | 1.14223i | 0.0544715 | + | 0.0395759i | ||||
\(834\) | 15.9427 | − | 27.7898i | 0.552049 | − | 0.962282i | ||||
\(835\) | − | 18.6751i | − | 0.646277i | ||||||
\(836\) | 2.73998 | − | 2.60614i | 0.0947643 | − | 0.0901351i | ||||
\(837\) | 14.3507 | + | 19.4130i | 0.496034 | + | 0.671012i | ||||
\(838\) | −13.5685 | + | 4.40867i | −0.468716 | + | 0.152295i | ||||
\(839\) | −4.95633 | + | 6.82181i | −0.171112 | + | 0.235515i | −0.885957 | − | 0.463768i | \(-0.846497\pi\) |
0.714845 | + | 0.699283i | \(0.246497\pi\) | |||||||
\(840\) | 0.897328 | − | 4.27947i | 0.0309608 | − | 0.147656i | ||||
\(841\) | −8.87170 | + | 27.3043i | −0.305921 | + | 0.941527i | ||||
\(842\) | −0.677843 | + | 2.08619i | −0.0233600 | + | 0.0718948i | ||||
\(843\) | 0.798339 | − | 3.80738i | 0.0274963 | − | 0.131133i | ||||
\(844\) | −14.7914 | + | 20.3586i | −0.509142 | + | 0.700774i | ||||
\(845\) | −12.1231 | + | 3.93904i | −0.417048 | + | 0.135507i | ||||
\(846\) | −34.4260 | − | 3.42687i | −1.18359 | − | 0.117818i | ||||
\(847\) | 9.21158 | − | 6.01222i | 0.316514 | − | 0.206582i | ||||
\(848\) | 11.3222i | 0.388807i | ||||||||
\(849\) | 18.7754 | − | 32.7277i | 0.644371 | − | 1.12321i | ||||
\(850\) | −2.15858 | − | 1.56830i | −0.0740388 | − | 0.0537923i | ||||
\(851\) | 6.27843 | + | 8.64152i | 0.215222 | + | 0.296228i | ||||
\(852\) | −18.5579 | + | 8.32378i | −0.635784 | + | 0.285168i | ||||
\(853\) | 30.0987 | + | 9.77967i | 1.03056 | + | 0.334850i | 0.775012 | − | 0.631946i | \(-0.217744\pi\) |
0.255549 | + | 0.966796i | \(0.417744\pi\) | |||||||
\(854\) | 8.36321 | − | 6.07623i | 0.286183 | − | 0.207924i | ||||
\(855\) | −5.74247 | + | 6.44868i | −0.196388 | + | 0.220540i | ||||
\(856\) | −2.53827 | − | 7.81198i | −0.0867562 | − | 0.267008i | ||||
\(857\) | 27.5120 | 0.939793 | 0.469896 | − | 0.882722i | \(-0.344291\pi\) | ||||
0.469896 | + | 0.882722i | \(0.344291\pi\) | |||||||
\(858\) | −1.20787 | + | 16.1528i | −0.0412359 | + | 0.551447i | ||||
\(859\) | 12.8377 | 0.438017 | 0.219008 | − | 0.975723i | \(-0.429718\pi\) | ||||
0.219008 | + | 0.975723i | \(0.429718\pi\) | |||||||
\(860\) | 5.59472 | + | 17.2188i | 0.190778 | + | 0.587155i | ||||
\(861\) | 1.08271 | + | 10.0356i | 0.0368987 | + | 0.342012i | ||||
\(862\) | −10.6649 | + | 7.74847i | −0.363247 | + | 0.263914i | ||||
\(863\) | −44.1823 | − | 14.3557i | −1.50398 | − | 0.488674i | −0.562807 | − | 0.826589i | \(-0.690278\pi\) |
−0.941177 | + | 0.337915i | \(0.890278\pi\) | |||||||
\(864\) | −4.92841 | + | 1.64644i | −0.167668 | + | 0.0560130i | ||||
\(865\) | −31.3226 | − | 43.1118i | −1.06500 | − | 1.46585i | ||||
\(866\) | −27.4189 | − | 19.9210i | −0.931733 | − | 0.676944i | ||||
\(867\) | 19.8670 | + | 11.3974i | 0.674718 | + | 0.387077i | ||||
\(868\) | 4.64602i | 0.157696i | ||||||||
\(869\) | −49.3595 | − | 26.7266i | −1.67440 | − | 0.906637i | ||||
\(870\) | −1.58194 | − | 1.74723i | −0.0536329 | − | 0.0592367i | ||||
\(871\) | 0.208508 | − | 0.0677484i | 0.00706502 | − | 0.00229557i | ||||
\(872\) | 0.760063 | − | 1.04614i | 0.0257390 | − | 0.0354267i | ||||
\(873\) | 0.0771935 | + | 0.132020i | 0.00261260 | + | 0.00446819i | ||||
\(874\) | 0.687674 | − | 2.11644i | 0.0232609 | − | 0.0715898i | ||||
\(875\) | −2.82944 | + | 8.70811i | −0.0956524 | + | 0.294388i | ||||
\(876\) | −13.4069 | − | 2.81120i | −0.452979 | − | 0.0949815i | ||||
\(877\) | −12.5903 | + | 17.3291i | −0.425145 | + | 0.585162i | −0.966830 | − | 0.255420i | \(-0.917786\pi\) |
0.541685 | + | 0.840581i | \(0.317786\pi\) | |||||||
\(878\) | 30.4069 | − | 9.87979i | 1.02618 | − | 0.333427i | ||||
\(879\) | 5.13648 | − | 4.65057i | 0.173249 | − | 0.156860i | ||||
\(880\) | 8.29988 | − | 1.10241i | 0.279789 | − | 0.0371621i | ||||
\(881\) | − | 5.37371i | − | 0.181045i | −0.995894 | − | 0.0905225i | \(-0.971146\pi\) | ||
0.995894 | − | 0.0905225i | \(-0.0288537\pi\) | |||||||
\(882\) | 2.93097 | − | 0.639875i | 0.0986907 | − | 0.0215457i | ||||
\(883\) | −34.4847 | − | 25.0546i | −1.16050 | − | 0.843154i | −0.170660 | − | 0.985330i | \(-0.554590\pi\) |
−0.989841 | + | 0.142176i | \(0.954590\pi\) | |||||||
\(884\) | −3.22073 | − | 4.43295i | −0.108325 | − | 0.149096i | ||||
\(885\) | −6.54767 | − | 14.5981i | −0.220098 | − | 0.490709i | ||||
\(886\) | −7.66477 | − | 2.49043i | −0.257503 | − | 0.0836678i | ||||
\(887\) | −24.2319 | + | 17.6055i | −0.813629 | + | 0.591136i | −0.914880 | − | 0.403725i | \(-0.867715\pi\) |
0.101252 | + | 0.994861i | \(0.467715\pi\) | |||||||
\(888\) | −9.42417 | + | 1.01675i | −0.316254 | + | 0.0341198i | ||||
\(889\) | −6.62357 | − | 20.3852i | −0.222147 | − | 0.683699i | ||||
\(890\) | 2.36903 | 0.0794101 | ||||||||
\(891\) | 27.7143 | + | 11.0869i | 0.928463 | + | 0.371424i | ||||
\(892\) | −0.592307 | −0.0198319 | ||||||||
\(893\) | 4.06306 | + | 12.5048i | 0.135965 | + | 0.418457i | ||||
\(894\) | 27.2989 | − | 2.94520i | 0.913011 | − | 0.0985022i | ||||
\(895\) | 28.2324 | − | 20.5121i | 0.943707 | − | 0.685643i | ||||
\(896\) | −0.951057 | − | 0.309017i | −0.0317726 | − | 0.0103235i | ||||
\(897\) | 3.90110 | + | 8.69752i | 0.130254 | + | 0.290402i | ||||
\(898\) | −11.9608 | − | 16.4626i | −0.399136 | − | 0.549363i | ||||
\(899\) | 2.02610 | + | 1.47205i | 0.0675743 | + | 0.0490956i | ||||
\(900\) | −4.02428 | + | 0.878562i | −0.134143 | + | 0.0292854i | ||||
\(901\) | 22.0022i | 0.733000i | ||||||||
\(902\) | −17.4358 | + | 8.34105i | −0.580548 | + | 0.277727i | ||||
\(903\) | −9.20828 | + | 8.33717i | −0.306432 | + | 0.277444i | ||||
\(904\) | −8.13139 | + | 2.64205i | −0.270446 | + | 0.0878732i | ||||
\(905\) | 15.4355 | − | 21.2452i | 0.513094 | − | 0.706213i | ||||
\(906\) | −20.7222 | − | 4.34507i | −0.688449 | − | 0.144355i | ||||
\(907\) | −6.42683 | + | 19.7798i | −0.213399 | + | 0.656776i | 0.785864 | + | 0.618400i | \(0.212219\pi\) |
−0.999263 | + | 0.0383765i | \(0.987781\pi\) | |||||||
\(908\) | −5.92606 | + | 18.2385i | −0.196663 | + | 0.605268i | ||||
\(909\) | 20.4352 | + | 34.9492i | 0.677793 | + | 1.15919i | ||||
\(910\) | 4.18401 | − | 5.75879i | 0.138699 | − | 0.190902i | ||||
\(911\) | −53.4617 | + | 17.3708i | −1.77126 | + | 0.575519i | −0.998265 | − | 0.0588872i | \(-0.981245\pi\) |
−0.773000 | + | 0.634406i | \(0.781245\pi\) | |||||||
\(912\) | 1.32544 | + | 1.46392i | 0.0438895 | + | 0.0484754i | ||||
\(913\) | 7.93868 | − | 3.79776i | 0.262732 | − | 0.125688i | ||||
\(914\) | − | 38.4753i | − | 1.27265i | ||||||
\(915\) | −39.2073 | − | 22.4927i | −1.29615 | − | 0.743586i | ||||
\(916\) | 21.1174 | + | 15.3427i | 0.697737 | + | 0.506936i | ||||
\(917\) | 4.68130 | + | 6.44326i | 0.154590 | + | 0.212775i | ||||
\(918\) | −9.57725 | + | 3.19949i | −0.316096 | + | 0.105599i | ||||
\(919\) | 45.3945 | + | 14.7496i | 1.49743 | + | 0.486543i | 0.939266 | − | 0.343189i | \(-0.111507\pi\) |
0.558161 | + | 0.829733i | \(0.311507\pi\) | |||||||
\(920\) | 3.98628 | − | 2.89620i | 0.131424 | − | 0.0954849i | ||||
\(921\) | −2.38735 | − | 22.1282i | −0.0786657 | − | 0.729148i | ||||
\(922\) | 4.16301 | + | 12.8124i | 0.137101 | + | 0.421955i | ||||
\(923\) | −33.1111 | −1.08987 | ||||||||
\(924\) | 3.02061 | + | 4.88630i | 0.0993708 | + | 0.160747i | ||||
\(925\) | −7.51402 | −0.247060 | ||||||||
\(926\) | 2.88816 | + | 8.88885i | 0.0949110 | + | 0.292106i | ||||
\(927\) | −35.1117 | + | 39.4298i | −1.15322 | + | 1.29504i | ||||
\(928\) | −0.436095 | + | 0.316841i | −0.0143155 | + | 0.0104008i | ||||
\(929\) | −14.6230 | − | 4.75131i | −0.479766 | − | 0.155886i | 0.0591426 | − | 0.998250i | \(-0.481163\pi\) |
−0.538909 | + | 0.842364i | \(0.681163\pi\) | |||||||
\(930\) | 18.5358 | − | 8.31384i | 0.607812 | − | 0.272622i | ||||
\(931\) | −0.670165 | − | 0.922404i | −0.0219638 | − | 0.0302306i | ||||
\(932\) | −9.29045 | − | 6.74991i | −0.304319 | − | 0.221101i | ||||
\(933\) | 9.97323 | − | 17.3844i | 0.326509 | − | 0.569141i | ||||
\(934\) | − | 28.3527i | − | 0.927728i | ||||||
\(935\) | 16.1289 | − | 2.14228i | 0.527473 | − | 0.0700599i | ||||
\(936\) | −8.41747 | − | 0.837900i | −0.275134 | − | 0.0273876i | ||||
\(937\) | 12.6613 | − | 4.11389i | 0.413625 | − | 0.134395i | −0.0948095 | − | 0.995495i | \(-0.530224\pi\) |
0.508435 | + | 0.861100i | \(0.330224\pi\) | |||||||
\(938\) | 0.0457019 | − | 0.0629032i | 0.00149222 | − | 0.00205386i | ||||
\(939\) | 9.99615 | − | 47.6729i | 0.326212 | − | 1.55575i | ||||
\(940\) | −8.99626 | + | 27.6876i | −0.293426 | + | 0.903071i | ||||
\(941\) | 15.3832 | − | 47.3448i | 0.501479 | − | 1.54340i | −0.305130 | − | 0.952311i | \(-0.598700\pi\) |
0.806610 | − | 0.591085i | \(-0.201300\pi\) | |||||||
\(942\) | −3.61673 | + | 17.2486i | −0.117839 | + | 0.561991i | ||||
\(943\) | −6.68576 | + | 9.20216i | −0.217718 | + | 0.299664i | ||||
\(944\) | −3.47994 | + | 1.13070i | −0.113263 | + | 0.0368012i | ||||
\(945\) | −7.79768 | − | 10.5484i | −0.253659 | − | 0.343138i | ||||
\(946\) | −20.9165 | − | 11.3256i | −0.680054 | − | 0.368228i | ||||
\(947\) | − | 36.7775i | − | 1.19511i | −0.801828 | − | 0.597555i | \(-0.796139\pi\) | ||
0.801828 | − | 0.597555i | \(-0.203861\pi\) | |||||||
\(948\) | 14.5868 | − | 25.4263i | 0.473756 | − | 0.825809i | ||||
\(949\) | −18.0414 | − | 13.1079i | −0.585650 | − | 0.425500i | ||||
\(950\) | 0.920151 | + | 1.26648i | 0.0298536 | + | 0.0410900i | ||||
\(951\) | −6.26446 | + | 2.80980i | −0.203139 | + | 0.0911140i | ||||
\(952\) | −1.84816 | − | 0.600505i | −0.0598993 | − | 0.0194625i | ||||
\(953\) | −14.1778 | + | 10.3008i | −0.459264 | + | 0.333675i | −0.793242 | − | 0.608906i | \(-0.791609\pi\) |
0.333979 | + | 0.942581i | \(0.391609\pi\) | |||||||
\(954\) | 25.3669 | + | 22.5889i | 0.821284 | + | 0.731343i | ||||
\(955\) | 20.1722 | + | 62.0836i | 0.652756 | + | 2.00898i | ||||
\(956\) | 7.07167 | 0.228714 | ||||||||
\(957\) | 3.08794 | + | 0.230909i | 0.0998190 | + | 0.00746423i | ||||
\(958\) | −2.11813 | −0.0684336 | ||||||||
\(959\) | −2.33271 | − | 7.17933i | −0.0753270 | − | 0.231833i | ||||
\(960\) | 0.469019 | + | 4.34731i | 0.0151375 | + | 0.140309i | ||||
\(961\) | 7.61649 | − | 5.53371i | 0.245693 | − | 0.178507i | ||||
\(962\) | −14.6758 | − | 4.76847i | −0.473168 | − | 0.153742i | ||||
\(963\) | −22.5664 | − | 9.89877i | −0.727193 | − | 0.318983i | ||||
\(964\) | 4.90279 | + | 6.74811i | 0.157908 | + | 0.217342i | ||||
\(965\) | −14.2116 | − | 10.3253i | −0.457488 | − | 0.332384i | ||||
\(966\) | 2.93235 | + | 1.68225i | 0.0943469 | + | 0.0541256i | ||||
\(967\) | − | 22.8273i | − | 0.734075i | −0.930206 | − | 0.367037i | \(-0.880372\pi\) | ||
0.930206 | − | 0.367037i | \(-0.119628\pi\) | |||||||
\(968\) | −6.90286 | + | 8.56449i | −0.221866 | + | 0.275273i | ||||
\(969\) | 2.57568 | + | 2.84481i | 0.0827429 | + | 0.0913883i | ||||
\(970\) | 0.122392 | − | 0.0397677i | 0.00392979 | − | 0.00127686i | ||||
\(971\) | −28.5927 | + | 39.3545i | −0.917584 | + | 1.26295i | 0.0469259 | + | 0.998898i | \(0.485058\pi\) |
−0.964510 | + | 0.264047i | \(0.914942\pi\) | |||||||
\(972\) | −6.14387 | + | 14.3267i | −0.197065 | + | 0.459528i | ||||
\(973\) | 5.71596 | − | 17.5919i | 0.183245 | − | 0.563971i | ||||
\(974\) | 10.1447 | − | 31.2222i | 0.325057 | − | 1.00042i | ||||
\(975\) | −6.56290 | − | 1.37612i | −0.210181 | − | 0.0440712i | ||||
\(976\) | −6.07623 | + | 8.36321i | −0.194495 | + | 0.267700i | ||||
\(977\) | −14.5300 | + | 4.72108i | −0.464856 | + | 0.151041i | −0.532075 | − | 0.846697i | \(-0.678587\pi\) |
0.0672188 | + | 0.997738i | \(0.478587\pi\) | |||||||
\(978\) | −8.23574 | + | 7.45663i | −0.263350 | + | 0.238437i | ||||
\(979\) | −2.25519 | + | 2.14502i | −0.0720760 | + | 0.0685552i | ||||
\(980\) | − | 2.52448i | − | 0.0806417i | ||||||
\(981\) | −0.827420 | − | 3.79002i | −0.0264175 | − | 0.121006i | ||||
\(982\) | −11.5525 | − | 8.39336i | −0.368654 | − | 0.267843i | ||||
\(983\) | 11.2823 | + | 15.5287i | 0.359849 | + | 0.495290i | 0.950107 | − | 0.311925i | \(-0.100974\pi\) |
−0.590258 | + | 0.807215i | \(0.700974\pi\) | |||||||
\(984\) | −4.13089 | − | 9.20983i | −0.131688 | − | 0.293599i | ||||
\(985\) | 6.12929 | + | 1.99153i | 0.195295 | + | 0.0634553i | ||||
\(986\) | −0.847451 | + | 0.615709i | −0.0269883 | + | 0.0196082i | ||||
\(987\) | −19.8589 | + | 2.14252i | −0.632115 | + | 0.0681971i | ||||
\(988\) | 0.993452 | + | 3.05753i | 0.0316059 | + | 0.0972731i | ||||
\(989\) | −13.9978 | −0.445105 | ||||||||
\(990\) | 14.0891 | − | 20.7948i | 0.447782 | − | 0.660903i | ||||
\(991\) | 54.9714 | 1.74622 | 0.873112 | − | 0.487520i | \(-0.162098\pi\) | ||||
0.873112 | + | 0.487520i | \(0.162098\pi\) | |||||||
\(992\) | −1.43570 | − | 4.41863i | −0.0455835 | − | 0.140292i | ||||
\(993\) | −59.2915 | + | 6.39680i | −1.88156 | + | 0.202996i | ||||
\(994\) | −9.50014 | + | 6.90226i | −0.301326 | + | 0.218926i | ||||
\(995\) | −33.2013 | − | 10.7878i | −1.05255 | − | 0.341995i | ||||
\(996\) | 1.88083 | + | 4.19333i | 0.0595965 | + | 0.132871i | ||||
\(997\) | 23.4274 | + | 32.2450i | 0.741952 | + | 1.02121i | 0.998504 | + | 0.0546787i | \(0.0174135\pi\) |
−0.256552 | + | 0.966530i | \(0.582587\pi\) | |||||||
\(998\) | 27.3474 | + | 19.8690i | 0.865666 | + | 0.628943i | ||||
\(999\) | −16.5241 | + | 23.1429i | −0.522800 | + | 0.732208i |
(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 | 462.2.w.b.281.12 | yes | 48 | |
3.2 | odd | 2 | 462.2.w.a.281.7 | ✓ | 48 | ||
11.2 | odd | 10 | 462.2.w.a.365.7 | yes | 48 | ||
33.2 | even | 10 | inner | 462.2.w.b.365.12 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.281.7 | ✓ | 48 | 3.2 | odd | 2 | ||
462.2.w.a.365.7 | yes | 48 | 11.2 | odd | 10 | ||
462.2.w.b.281.12 | yes | 48 | 1.1 | even | 1 | trivial | |
462.2.w.b.365.12 | yes | 48 | 33.2 | even | 10 | inner |