Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(176,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ew (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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 470.71 | ||
Character | \(\chi\) | \(=\) | 819.470 |
Dual form | 819.2.ew.a.176.71 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.48617 | + | 1.48617i | 1.05088 | + | 1.05088i | 0.998634 | + | 0.0522485i | \(0.0166388\pi\) |
0.0522485 | + | 0.998634i | \(0.483361\pi\) | |||||||
\(3\) | −1.58281 | + | 0.703362i | −0.913835 | + | 0.406086i | ||||
\(4\) | 2.41742i | 1.20871i | ||||||||
\(5\) | 0.520566 | − | 1.94278i | 0.232804 | − | 0.868837i | −0.746322 | − | 0.665585i | \(-0.768182\pi\) |
0.979126 | − | 0.203252i | \(-0.0651511\pi\) | |||||||
\(6\) | −3.39764 | − | 1.30701i | −1.38708 | − | 0.533584i | ||||
\(7\) | 0.258819 | − | 0.965926i | 0.0978244 | − | 0.365086i | ||||
\(8\) | −0.620354 | + | 0.620354i | −0.219328 | + | 0.219328i | ||||
\(9\) | 2.01056 | − | 2.22658i | 0.670188 | − | 0.742192i | ||||
\(10\) | 3.66095 | − | 2.11365i | 1.15770 | − | 0.668396i | ||||
\(11\) | 0.127021 | − | 0.127021i | 0.0382983 | − | 0.0382983i | −0.687698 | − | 0.725997i | \(-0.741379\pi\) |
0.725997 | + | 0.687698i | \(0.241379\pi\) | |||||||
\(12\) | −1.70032 | − | 3.82631i | −0.490840 | − | 1.10456i | ||||
\(13\) | −1.73307 | − | 3.16172i | −0.480668 | − | 0.876903i | ||||
\(14\) | 1.82018 | − | 1.05088i | 0.486464 | − | 0.280860i | ||||
\(15\) | 0.542521 | + | 3.44119i | 0.140078 | + | 0.888512i | ||||
\(16\) | 2.99093 | 0.747732 | ||||||||
\(17\) | 2.23081 | − | 3.86388i | 0.541052 | − | 0.937130i | −0.457792 | − | 0.889059i | \(-0.651360\pi\) |
0.998844 | − | 0.0480703i | \(-0.0153071\pi\) | |||||||
\(18\) | 6.29712 | − | 0.321031i | 1.48424 | − | 0.0756678i | ||||
\(19\) | −0.736005 | − | 2.74681i | −0.168851 | − | 0.630161i | −0.997518 | − | 0.0704184i | \(-0.977567\pi\) |
0.828666 | − | 0.559743i | \(-0.189100\pi\) | |||||||
\(20\) | 4.69651 | + | 1.25843i | 1.05017 | + | 0.281392i | ||||
\(21\) | 0.269735 | + | 1.71092i | 0.0588610 | + | 0.373353i | ||||
\(22\) | 0.377551 | 0.0804941 | ||||||||
\(23\) | −0.646752 | + | 1.12021i | −0.134857 | + | 0.233579i | −0.925543 | − | 0.378643i | \(-0.876391\pi\) |
0.790686 | + | 0.612222i | \(0.209724\pi\) | |||||||
\(24\) | 0.545568 | − | 1.41824i | 0.111364 | − | 0.289496i | ||||
\(25\) | 0.826728 | + | 0.477312i | 0.165346 | + | 0.0954623i | ||||
\(26\) | 2.12321 | − | 7.27450i | 0.416396 | − | 1.42665i | ||||
\(27\) | −1.61625 | + | 4.93840i | −0.311047 | + | 0.950395i | ||||
\(28\) | 2.33505 | + | 0.625674i | 0.441282 | + | 0.118241i | ||||
\(29\) | − | 2.31274i | − | 0.429464i | −0.976673 | − | 0.214732i | \(-0.931112\pi\) | ||
0.976673 | − | 0.214732i | \(-0.0688879\pi\) | |||||||
\(30\) | −4.30792 | + | 5.92048i | −0.786516 | + | 1.08093i | ||||
\(31\) | 4.94144 | + | 1.32405i | 0.887508 | + | 0.237807i | 0.673644 | − | 0.739056i | \(-0.264728\pi\) |
0.213864 | + | 0.976863i | \(0.431395\pi\) | |||||||
\(32\) | 5.68574 | + | 5.68574i | 1.00511 | + | 1.00511i | ||||
\(33\) | −0.111708 | + | 0.290392i | −0.0194459 | + | 0.0505508i | ||||
\(34\) | 9.05777 | − | 2.42702i | 1.55340 | − | 0.416231i | ||||
\(35\) | −1.74185 | − | 1.00566i | −0.294426 | − | 0.169987i | ||||
\(36\) | 5.38256 | + | 4.86037i | 0.897094 | + | 0.810062i | ||||
\(37\) | −0.359658 | + | 1.34226i | −0.0591273 | + | 0.220666i | −0.989167 | − | 0.146792i | \(-0.953105\pi\) |
0.930040 | + | 0.367458i | \(0.119772\pi\) | |||||||
\(38\) | 2.98840 | − | 5.17606i | 0.484783 | − | 0.839668i | ||||
\(39\) | 4.96696 | + | 3.78541i | 0.795349 | + | 0.606151i | ||||
\(40\) | 0.882276 | + | 1.52815i | 0.139500 | + | 0.241621i | ||||
\(41\) | −7.09357 | + | 1.90072i | −1.10783 | + | 0.296842i | −0.765949 | − | 0.642901i | \(-0.777731\pi\) |
−0.341881 | + | 0.939743i | \(0.611064\pi\) | |||||||
\(42\) | −2.14185 | + | 2.94359i | −0.330494 | + | 0.454206i | ||||
\(43\) | −0.901082 | + | 0.520240i | −0.137414 | + | 0.0793359i | −0.567131 | − | 0.823628i | \(-0.691947\pi\) |
0.429717 | + | 0.902964i | \(0.358613\pi\) | |||||||
\(44\) | 0.307063 | + | 0.307063i | 0.0462915 | + | 0.0462915i | ||||
\(45\) | −3.27911 | − | 5.06516i | −0.488821 | − | 0.755069i | ||||
\(46\) | −2.62601 | + | 0.703636i | −0.387184 | + | 0.103746i | ||||
\(47\) | 1.79649 | + | 6.70458i | 0.262044 | + | 0.977963i | 0.964035 | + | 0.265776i | \(0.0856283\pi\) |
−0.701990 | + | 0.712187i | \(0.747705\pi\) | |||||||
\(48\) | −4.73406 | + | 2.10371i | −0.683303 | + | 0.303644i | ||||
\(49\) | −0.866025 | − | 0.500000i | −0.123718 | − | 0.0714286i | ||||
\(50\) | 0.519293 | + | 1.93803i | 0.0734391 | + | 0.274079i | ||||
\(51\) | −0.813241 | + | 7.68486i | −0.113877 | + | 1.07610i | ||||
\(52\) | 7.64319 | − | 4.18956i | 1.05992 | − | 0.580988i | ||||
\(53\) | − | 0.127341i | − | 0.0174916i | −0.999962 | − | 0.00874579i | \(-0.997216\pi\) | ||
0.999962 | − | 0.00874579i | \(-0.00278391\pi\) | |||||||
\(54\) | −9.74133 | + | 4.93729i | −1.32563 | + | 0.671880i | ||||
\(55\) | −0.180651 | − | 0.312897i | −0.0243590 | − | 0.0421910i | ||||
\(56\) | 0.438657 | + | 0.759776i | 0.0586180 | + | 0.101529i | ||||
\(57\) | 3.09696 | + | 3.82999i | 0.410202 | + | 0.507295i | ||||
\(58\) | 3.43712 | − | 3.43712i | 0.451317 | − | 0.451317i | ||||
\(59\) | 7.30409 | − | 7.30409i | 0.950912 | − | 0.950912i | −0.0479382 | − | 0.998850i | \(-0.515265\pi\) |
0.998850 | + | 0.0479382i | \(0.0152650\pi\) | |||||||
\(60\) | −8.31880 | + | 1.31150i | −1.07395 | + | 0.169314i | ||||
\(61\) | −2.87568 | − | 4.98082i | −0.368193 | − | 0.637729i | 0.621090 | − | 0.783739i | \(-0.286690\pi\) |
−0.989283 | + | 0.146010i | \(0.953357\pi\) | |||||||
\(62\) | 5.37605 | + | 9.31160i | 0.682760 | + | 1.18257i | ||||
\(63\) | −1.63033 | − | 2.51833i | −0.205403 | − | 0.317280i | ||||
\(64\) | 10.9181i | 1.36477i | ||||||||
\(65\) | −7.04470 | + | 1.72109i | −0.873787 | + | 0.213476i | ||||
\(66\) | −0.597591 | + | 0.265555i | −0.0735583 | + | 0.0326876i | ||||
\(67\) | 0.487651 | + | 1.81994i | 0.0595761 | + | 0.222341i | 0.989295 | − | 0.145929i | \(-0.0466170\pi\) |
−0.929719 | + | 0.368270i | \(0.879950\pi\) | |||||||
\(68\) | 9.34062 | + | 5.39281i | 1.13272 | + | 0.653974i | ||||
\(69\) | 0.235773 | − | 2.22797i | 0.0283837 | − | 0.268217i | ||||
\(70\) | −1.09411 | − | 4.08326i | −0.130771 | − | 0.488043i | ||||
\(71\) | 3.89691 | − | 1.04417i | 0.462478 | − | 0.123921i | −0.0200541 | − | 0.999799i | \(-0.506384\pi\) |
0.482532 | + | 0.875878i | \(0.339717\pi\) | |||||||
\(72\) | 0.134004 | + | 2.62853i | 0.0157925 | + | 0.309775i | ||||
\(73\) | −2.28964 | − | 2.28964i | −0.267982 | − | 0.267982i | 0.560305 | − | 0.828286i | \(-0.310684\pi\) |
−0.828286 | + | 0.560305i | \(0.810684\pi\) | |||||||
\(74\) | −2.52934 | + | 1.46032i | −0.294030 | + | 0.169758i | ||||
\(75\) | −1.64428 | − | 0.174003i | −0.189865 | − | 0.0200922i | ||||
\(76\) | 6.64018 | − | 1.77923i | 0.761681 | − | 0.204092i | ||||
\(77\) | −0.0898176 | − | 0.155569i | −0.0102357 | − | 0.0177287i | ||||
\(78\) | 1.75597 | + | 13.0075i | 0.198825 | + | 1.47281i | ||||
\(79\) | −5.97837 | + | 10.3548i | −0.672619 | + | 1.16501i | 0.304539 | + | 0.952500i | \(0.401497\pi\) |
−0.977159 | + | 0.212511i | \(0.931836\pi\) | |||||||
\(80\) | 1.55698 | − | 5.81071i | 0.174075 | − | 0.649657i | ||||
\(81\) | −0.915273 | − | 8.95334i | −0.101697 | − | 0.994815i | ||||
\(82\) | −13.3671 | − | 7.71748i | −1.47615 | − | 0.852253i | ||||
\(83\) | 3.17172 | − | 0.849859i | 0.348141 | − | 0.0932841i | −0.0805111 | − | 0.996754i | \(-0.525655\pi\) |
0.428652 | + | 0.903470i | \(0.358989\pi\) | |||||||
\(84\) | −4.13600 | + | 0.652062i | −0.451275 | + | 0.0711458i | ||||
\(85\) | −6.34539 | − | 6.34539i | −0.688254 | − | 0.688254i | ||||
\(86\) | −2.11233 | − | 0.565997i | −0.227778 | − | 0.0610331i | ||||
\(87\) | 1.62669 | + | 3.66062i | 0.174400 | + | 0.392459i | ||||
\(88\) | 0.157596i | 0.0167998i | ||||||||
\(89\) | −8.94508 | − | 2.39683i | −0.948176 | − | 0.254063i | −0.248588 | − | 0.968609i | \(-0.579966\pi\) |
−0.699588 | + | 0.714546i | \(0.746633\pi\) | |||||||
\(90\) | 2.65437 | − | 12.4010i | 0.279795 | − | 1.30718i | ||||
\(91\) | −3.50254 | + | 0.855707i | −0.367166 | + | 0.0897025i | ||||
\(92\) | −2.70801 | − | 1.56347i | −0.282330 | − | 0.163003i | ||||
\(93\) | −8.75263 | + | 1.37990i | −0.907606 | + | 0.143089i | ||||
\(94\) | −7.29427 | + | 12.6340i | −0.752346 | + | 1.30310i | ||||
\(95\) | −5.71958 | −0.586817 | ||||||||
\(96\) | −12.9986 | − | 5.00030i | −1.32666 | − | 0.510341i | ||||
\(97\) | 3.34484 | + | 0.896248i | 0.339617 | + | 0.0910002i | 0.424597 | − | 0.905383i | \(-0.360416\pi\) |
−0.0849796 | + | 0.996383i | \(0.527083\pi\) | |||||||
\(98\) | −0.543977 | − | 2.03015i | −0.0549500 | − | 0.205076i | ||||
\(99\) | −0.0274381 | − | 0.538206i | −0.00275763 | − | 0.0540918i | ||||
\(100\) | −1.15386 | + | 1.99855i | −0.115386 | + | 0.199855i | ||||
\(101\) | 10.1450 | 1.00946 | 0.504732 | − | 0.863276i | \(-0.331591\pi\) | ||||
0.504732 | + | 0.863276i | \(0.331591\pi\) | |||||||
\(102\) | −12.6296 | + | 10.2124i | −1.25052 | + | 1.01118i | ||||
\(103\) | −14.8616 | + | 8.58036i | −1.46436 | + | 0.845448i | −0.999208 | − | 0.0397832i | \(-0.987333\pi\) |
−0.465151 | + | 0.885231i | \(0.654000\pi\) | |||||||
\(104\) | 3.03650 | + | 0.886266i | 0.297754 | + | 0.0869055i | ||||
\(105\) | 3.46435 | + | 0.366611i | 0.338086 | + | 0.0357775i | ||||
\(106\) | 0.189250 | − | 0.189250i | 0.0183816 | − | 0.0183816i | ||||
\(107\) | 15.9421 | − | 9.20420i | 1.54118 | − | 0.889803i | 0.542420 | − | 0.840108i | \(-0.317508\pi\) |
0.998764 | − | 0.0496955i | \(-0.0158251\pi\) | |||||||
\(108\) | −11.9382 | − | 3.90714i | −1.14875 | − | 0.375965i | ||||
\(109\) | 5.64858 | − | 5.64858i | 0.541036 | − | 0.541036i | −0.382797 | − | 0.923833i | \(-0.625039\pi\) |
0.923833 | + | 0.382797i | \(0.125039\pi\) | |||||||
\(110\) | 0.196540 | − | 0.733498i | 0.0187394 | − | 0.0699363i | ||||
\(111\) | −0.374826 | − | 2.37751i | −0.0355769 | − | 0.225663i | ||||
\(112\) | 0.774109 | − | 2.88901i | 0.0731464 | − | 0.272986i | ||||
\(113\) | − | 0.482065i | − | 0.0453488i | −0.999743 | − | 0.0226744i | \(-0.992782\pi\) | ||
0.999743 | − | 0.0226744i | \(-0.00721811\pi\) | |||||||
\(114\) | −1.08942 | + | 10.2946i | −0.102033 | + | 0.964182i | ||||
\(115\) | 1.83964 | + | 1.83964i | 0.171547 | + | 0.171547i | ||||
\(116\) | 5.59085 | 0.519097 | ||||||||
\(117\) | −10.5243 | − | 2.49801i | −0.972968 | − | 0.230942i | ||||
\(118\) | 21.7103 | 1.99859 | ||||||||
\(119\) | −3.15485 | − | 3.15485i | −0.289204 | − | 0.289204i | ||||
\(120\) | −2.47131 | − | 1.79820i | −0.225599 | − | 0.164153i | ||||
\(121\) | 10.9677i | 0.997066i | ||||||||
\(122\) | 3.12860 | − | 11.6761i | 0.283250 | − | 1.05711i | ||||
\(123\) | 9.89087 | − | 7.99782i | 0.891830 | − | 0.721139i | ||||
\(124\) | −3.20079 | + | 11.9455i | −0.287439 | + | 1.07274i | ||||
\(125\) | 8.46874 | − | 8.46874i | 0.757467 | − | 0.757467i | ||||
\(126\) | 1.31972 | − | 6.16564i | 0.117570 | − | 0.549279i | ||||
\(127\) | 1.67462 | − | 0.966841i | 0.148598 | − | 0.0857933i | −0.423857 | − | 0.905729i | \(-0.639324\pi\) |
0.572456 | + | 0.819936i | \(0.305991\pi\) | |||||||
\(128\) | −4.85475 | + | 4.85475i | −0.429103 | + | 0.429103i | ||||
\(129\) | 1.06032 | − | 1.45723i | 0.0933563 | − | 0.128302i | ||||
\(130\) | −13.0275 | − | 7.91179i | −1.14259 | − | 0.693910i | ||||
\(131\) | 12.3381 | − | 7.12338i | 1.07798 | − | 0.622373i | 0.147630 | − | 0.989043i | \(-0.452836\pi\) |
0.930351 | + | 0.366670i | \(0.119502\pi\) | |||||||
\(132\) | −0.701999 | − | 0.270046i | −0.0611012 | − | 0.0235044i | ||||
\(133\) | −2.84371 | −0.246581 | ||||||||
\(134\) | −1.98001 | + | 3.42948i | −0.171047 | + | 0.296262i | ||||
\(135\) | 8.75284 | + | 5.71077i | 0.753325 | + | 0.491505i | ||||
\(136\) | 1.01308 | + | 3.78087i | 0.0868711 | + | 0.324207i | ||||
\(137\) | −3.70490 | − | 0.992725i | −0.316531 | − | 0.0848142i | 0.0970557 | − | 0.995279i | \(-0.469057\pi\) |
−0.413587 | + | 0.910465i | \(0.635724\pi\) | |||||||
\(138\) | 3.66155 | − | 2.96076i | 0.311692 | − | 0.252036i | ||||
\(139\) | −15.7587 | −1.33664 | −0.668318 | − | 0.743876i | \(-0.732985\pi\) | ||||
−0.668318 | + | 0.743876i | \(0.732985\pi\) | |||||||
\(140\) | 2.43109 | − | 4.21077i | 0.205465 | − | 0.355875i | ||||
\(141\) | −7.55924 | − | 9.34848i | −0.636603 | − | 0.787284i | ||||
\(142\) | 7.34330 | + | 4.23966i | 0.616236 | + | 0.355784i | ||||
\(143\) | −0.621742 | − | 0.181468i | −0.0519927 | − | 0.0151751i | ||||
\(144\) | 6.01345 | − | 6.65953i | 0.501121 | − | 0.554960i | ||||
\(145\) | −4.49313 | − | 1.20393i | −0.373134 | − | 0.0999811i | ||||
\(146\) | − | 6.80559i | − | 0.563235i | ||||||
\(147\) | 1.72243 | + | 0.182274i | 0.142064 | + | 0.0150337i | ||||
\(148\) | −3.24480 | − | 0.869442i | −0.266721 | − | 0.0714677i | ||||
\(149\) | 5.55091 | + | 5.55091i | 0.454748 | + | 0.454748i | 0.896927 | − | 0.442179i | \(-0.145794\pi\) |
−0.442179 | + | 0.896927i | \(0.645794\pi\) | |||||||
\(150\) | −2.18508 | − | 2.70228i | −0.178411 | − | 0.220640i | ||||
\(151\) | 2.26297 | − | 0.606361i | 0.184158 | − | 0.0493450i | −0.165561 | − | 0.986199i | \(-0.552944\pi\) |
0.349719 | + | 0.936855i | \(0.386277\pi\) | |||||||
\(152\) | 2.16058 | + | 1.24741i | 0.175246 | + | 0.101178i | ||||
\(153\) | −4.11804 | − | 12.7357i | −0.332923 | − | 1.02962i | ||||
\(154\) | 0.0977173 | − | 0.364686i | 0.00787429 | − | 0.0293872i | ||||
\(155\) | 5.14469 | − | 8.91086i | 0.413231 | − | 0.715737i | ||||
\(156\) | −9.15092 | + | 12.0072i | −0.732660 | + | 0.961346i | ||||
\(157\) | 7.31351 | + | 12.6674i | 0.583682 | + | 1.01097i | 0.995038 | + | 0.0994917i | \(0.0317217\pi\) |
−0.411357 | + | 0.911474i | \(0.634945\pi\) | |||||||
\(158\) | −24.2740 | + | 6.50419i | −1.93113 | + | 0.517446i | ||||
\(159\) | 0.0895666 | + | 0.201556i | 0.00710309 | + | 0.0159844i | ||||
\(160\) | 14.0059 | − | 8.08633i | 1.10727 | − | 0.639281i | ||||
\(161\) | 0.914646 | + | 0.914646i | 0.0720842 | + | 0.0720842i | ||||
\(162\) | 11.9460 | − | 14.6665i | 0.938563 | − | 1.15231i | ||||
\(163\) | −21.6745 | + | 5.80766i | −1.69768 | + | 0.454891i | −0.972353 | − | 0.233517i | \(-0.924976\pi\) |
−0.725323 | + | 0.688408i | \(0.758310\pi\) | |||||||
\(164\) | −4.59483 | − | 17.1481i | −0.358796 | − | 1.33904i | ||||
\(165\) | 0.506016 | + | 0.368193i | 0.0393933 | + | 0.0286638i | ||||
\(166\) | 5.97675 | + | 3.45068i | 0.463886 | + | 0.267825i | ||||
\(167\) | 2.66372 | + | 9.94113i | 0.206125 | + | 0.769267i | 0.989104 | + | 0.147220i | \(0.0470324\pi\) |
−0.782979 | + | 0.622048i | \(0.786301\pi\) | |||||||
\(168\) | −1.22871 | − | 0.894045i | −0.0947968 | − | 0.0689770i | ||||
\(169\) | −6.99291 | + | 10.9590i | −0.537917 | + | 0.842998i | ||||
\(170\) | − | 18.8607i | − | 1.44655i | ||||||
\(171\) | −7.59576 | − | 3.88386i | −0.580862 | − | 0.297006i | ||||
\(172\) | −1.25764 | − | 2.17829i | −0.0958940 | − | 0.166093i | ||||
\(173\) | −3.99360 | − | 6.91712i | −0.303628 | − | 0.525899i | 0.673327 | − | 0.739345i | \(-0.264865\pi\) |
−0.976955 | + | 0.213446i | \(0.931531\pi\) | |||||||
\(174\) | −3.02276 | + | 7.85785i | −0.229155 | + | 0.595702i | ||||
\(175\) | 0.675021 | − | 0.675021i | 0.0510268 | − | 0.0510268i | ||||
\(176\) | 0.379911 | − | 0.379911i | 0.0286369 | − | 0.0286369i | ||||
\(177\) | −6.42356 | + | 16.6984i | −0.482824 | + | 1.25513i | ||||
\(178\) | −9.73183 | − | 16.8560i | −0.729431 | − | 1.26341i | ||||
\(179\) | 5.17436 | + | 8.96226i | 0.386750 | + | 0.669870i | 0.992010 | − | 0.126157i | \(-0.0402643\pi\) |
−0.605260 | + | 0.796028i | \(0.706931\pi\) | |||||||
\(180\) | 12.2446 | − | 7.92698i | 0.912659 | − | 0.590842i | ||||
\(181\) | − | 14.7605i | − | 1.09714i | −0.836106 | − | 0.548568i | \(-0.815173\pi\) | ||
0.836106 | − | 0.548568i | \(-0.184827\pi\) | |||||||
\(182\) | −6.47710 | − | 3.93365i | −0.480115 | − | 0.291581i | ||||
\(183\) | 8.05497 | + | 5.86104i | 0.595440 | + | 0.433260i | ||||
\(184\) | −0.293710 | − | 1.09614i | −0.0216526 | − | 0.0808086i | ||||
\(185\) | 2.42049 | + | 1.39747i | 0.177958 | + | 0.102744i | ||||
\(186\) | −15.0587 | − | 10.9572i | −1.10416 | − | 0.803418i | ||||
\(187\) | −0.207434 | − | 0.774156i | −0.0151691 | − | 0.0566119i | ||||
\(188\) | −16.2078 | + | 4.34286i | −1.18207 | + | 0.316735i | ||||
\(189\) | 4.35181 | + | 2.83932i | 0.316547 | + | 0.206530i | ||||
\(190\) | −8.50028 | − | 8.50028i | −0.616675 | − | 0.616675i | ||||
\(191\) | −9.73853 | + | 5.62254i | −0.704655 | + | 0.406833i | −0.809079 | − | 0.587700i | \(-0.800034\pi\) |
0.104424 | + | 0.994533i | \(0.466700\pi\) | |||||||
\(192\) | −7.67940 | − | 17.2813i | −0.554213 | − | 1.24717i | ||||
\(193\) | −22.0925 | + | 5.91966i | −1.59025 | + | 0.426106i | −0.942080 | − | 0.335389i | \(-0.891132\pi\) |
−0.648171 | + | 0.761495i | \(0.724466\pi\) | |||||||
\(194\) | 3.63903 | + | 6.30299i | 0.261267 | + | 0.452528i | ||||
\(195\) | 9.93985 | − | 7.67914i | 0.711807 | − | 0.549914i | ||||
\(196\) | 1.20871 | − | 2.09354i | 0.0863363 | − | 0.149539i | ||||
\(197\) | 0.336559 | − | 1.25606i | 0.0239789 | − | 0.0894903i | −0.952899 | − | 0.303286i | \(-0.901916\pi\) |
0.976878 | + | 0.213796i | \(0.0685828\pi\) | |||||||
\(198\) | 0.759090 | − | 0.840645i | 0.0539462 | − | 0.0597421i | ||||
\(199\) | 21.6559 | + | 12.5030i | 1.53515 | + | 0.886317i | 0.999113 | + | 0.0421212i | \(0.0134116\pi\) |
0.536034 | + | 0.844196i | \(0.319922\pi\) | |||||||
\(200\) | −0.808967 | + | 0.216762i | −0.0572026 | + | 0.0153274i | ||||
\(201\) | −2.05194 | − | 2.53762i | −0.144732 | − | 0.178990i | ||||
\(202\) | 15.0772 | + | 15.0772i | 1.06083 | + | 1.06083i | ||||
\(203\) | −2.23393 | − | 0.598580i | −0.156791 | − | 0.0420121i | ||||
\(204\) | −18.5775 | − | 1.96594i | −1.30069 | − | 0.137644i | ||||
\(205\) | 14.7707i | 1.03163i | ||||||||
\(206\) | −34.8388 | − | 9.33504i | −2.42734 | − | 0.650403i | ||||
\(207\) | 1.19389 | + | 3.69229i | 0.0829811 | + | 0.256632i | ||||
\(208\) | −5.18350 | − | 9.45647i | −0.359411 | − | 0.655688i | ||||
\(209\) | −0.442391 | − | 0.255415i | −0.0306008 | − | 0.0176674i | ||||
\(210\) | 4.60378 | + | 5.69347i | 0.317691 | + | 0.392887i | ||||
\(211\) | −7.64311 | + | 13.2383i | −0.526173 | + | 0.911359i | 0.473362 | + | 0.880868i | \(0.343040\pi\) |
−0.999535 | + | 0.0304908i | \(0.990293\pi\) | |||||||
\(212\) | 0.307835 | 0.0211422 | ||||||||
\(213\) | −5.43363 | + | 4.39366i | −0.372306 | + | 0.301049i | ||||
\(214\) | 37.3718 | + | 10.0137i | 2.55468 | + | 0.684525i | ||||
\(215\) | 0.541639 | + | 2.02142i | 0.0369394 | + | 0.137860i | ||||
\(216\) | −2.06091 | − | 4.06620i | −0.140227 | − | 0.276670i | ||||
\(217\) | 2.55788 | − | 4.43037i | 0.173640 | − | 0.300753i | ||||
\(218\) | 16.7895 | 1.13713 | ||||||||
\(219\) | 5.23450 | + | 2.01361i | 0.353715 | + | 0.136067i | ||||
\(220\) | 0.756403 | − | 0.436709i | 0.0509966 | − | 0.0294429i | ||||
\(221\) | −16.0827 | − | 0.356811i | −1.08184 | − | 0.0240017i | ||||
\(222\) | 2.97633 | − | 4.09045i | 0.199758 | − | 0.274533i | ||||
\(223\) | −4.35587 | + | 4.35587i | −0.291691 | + | 0.291691i | −0.837748 | − | 0.546057i | \(-0.816128\pi\) |
0.546057 | + | 0.837748i | \(0.316128\pi\) | |||||||
\(224\) | 6.96358 | − | 4.02043i | 0.465274 | − | 0.268626i | ||||
\(225\) | 2.72496 | − | 0.881107i | 0.181664 | − | 0.0587405i | ||||
\(226\) | 0.716431 | − | 0.716431i | 0.0476563 | − | 0.0476563i | ||||
\(227\) | −1.99060 | + | 7.42903i | −0.132121 | + | 0.493082i | −0.999993 | − | 0.00370553i | \(-0.998820\pi\) |
0.867872 | + | 0.496787i | \(0.165487\pi\) | |||||||
\(228\) | −9.25869 | + | 7.48664i | −0.613172 | + | 0.495815i | ||||
\(229\) | −5.03220 | + | 18.7804i | −0.332537 | + | 1.24104i | 0.573978 | + | 0.818871i | \(0.305400\pi\) |
−0.906515 | + | 0.422174i | \(0.861267\pi\) | |||||||
\(230\) | 5.46804i | 0.360552i | ||||||||
\(231\) | 0.251585 | + | 0.183061i | 0.0165531 | + | 0.0120445i | ||||
\(232\) | 1.43472 | + | 1.43472i | 0.0941937 | + | 0.0941937i | ||||
\(233\) | 25.4894 | 1.66987 | 0.834933 | − | 0.550352i | \(-0.185506\pi\) | ||||
0.834933 | + | 0.550352i | \(0.185506\pi\) | |||||||
\(234\) | −11.9284 | − | 19.3533i | −0.779782 | − | 1.26517i | ||||
\(235\) | 13.9607 | 0.910695 | ||||||||
\(236\) | 17.6570 | + | 17.6570i | 1.14938 | + | 1.14938i | ||||
\(237\) | 2.17941 | − | 20.5947i | 0.141568 | − | 1.33777i | ||||
\(238\) | − | 9.37730i | − | 0.607840i | ||||||
\(239\) | 1.81812 | − | 6.78532i | 0.117604 | − | 0.438906i | −0.881864 | − | 0.471504i | \(-0.843711\pi\) |
0.999469 | + | 0.0325980i | \(0.0103781\pi\) | |||||||
\(240\) | 1.62264 | + | 10.2924i | 0.104741 | + | 0.664369i | ||||
\(241\) | −1.44575 | + | 5.39562i | −0.0931291 | + | 0.347562i | −0.996729 | − | 0.0808147i | \(-0.974248\pi\) |
0.903600 | + | 0.428377i | \(0.140914\pi\) | |||||||
\(242\) | −16.2999 | + | 16.2999i | −1.04780 | + | 1.04780i | ||||
\(243\) | 7.74614 | + | 13.5276i | 0.496915 | + | 0.867799i | ||||
\(244\) | 12.0407 | − | 6.95171i | 0.770828 | − | 0.445038i | ||||
\(245\) | −1.42221 | + | 1.42221i | −0.0908618 | + | 0.0908618i | ||||
\(246\) | 26.5857 | + | 2.81340i | 1.69504 | + | 0.179376i | ||||
\(247\) | −7.40908 | + | 7.08746i | −0.471429 | + | 0.450964i | ||||
\(248\) | −3.88682 | + | 2.24406i | −0.246814 | + | 0.142498i | ||||
\(249\) | −4.42246 | + | 3.57603i | −0.280262 | + | 0.226622i | ||||
\(250\) | 25.1720 | 1.59202 | ||||||||
\(251\) | −12.5426 | + | 21.7245i | −0.791683 | + | 1.37124i | 0.133240 | + | 0.991084i | \(0.457462\pi\) |
−0.924924 | + | 0.380152i | \(0.875872\pi\) | |||||||
\(252\) | 6.08787 | − | 3.94120i | 0.383500 | − | 0.248272i | ||||
\(253\) | 0.0601389 | + | 0.224441i | 0.00378090 | + | 0.0141105i | ||||
\(254\) | 3.92566 | + | 1.05188i | 0.246318 | + | 0.0660007i | ||||
\(255\) | 14.5066 | + | 5.58042i | 0.908441 | + | 0.349460i | ||||
\(256\) | 7.40629 | 0.462893 | ||||||||
\(257\) | −12.6325 | + | 21.8802i | −0.787995 | + | 1.36485i | 0.139199 | + | 0.990264i | \(0.455547\pi\) |
−0.927194 | + | 0.374583i | \(0.877786\pi\) | |||||||
\(258\) | 3.74152 | − | 0.589869i | 0.232937 | − | 0.0367236i | ||||
\(259\) | 1.20344 | + | 0.694805i | 0.0747780 | + | 0.0431731i | ||||
\(260\) | −4.16060 | − | 17.0300i | −0.258030 | − | 1.05615i | ||||
\(261\) | −5.14948 | − | 4.64990i | −0.318745 | − | 0.287822i | ||||
\(262\) | 28.9230 | + | 7.74991i | 1.78687 | + | 0.478791i | ||||
\(263\) | − | 22.3243i | − | 1.37658i | −0.725437 | − | 0.688289i | \(-0.758362\pi\) | ||
0.725437 | − | 0.688289i | \(-0.241638\pi\) | |||||||
\(264\) | −0.110847 | − | 0.249445i | −0.00682218 | − | 0.0153523i | ||||
\(265\) | −0.247395 | − | 0.0662892i | −0.0151973 | − | 0.00407211i | ||||
\(266\) | −4.22624 | − | 4.22624i | −0.259127 | − | 0.259127i | ||||
\(267\) | 15.8442 | − | 2.49791i | 0.969648 | − | 0.152870i | ||||
\(268\) | −4.39955 | + | 1.17886i | −0.268746 | + | 0.0720102i | ||||
\(269\) | −8.35236 | − | 4.82223i | −0.509252 | − | 0.294017i | 0.223274 | − | 0.974756i | \(-0.428326\pi\) |
−0.732526 | + | 0.680739i | \(0.761659\pi\) | |||||||
\(270\) | 4.52105 | + | 21.4954i | 0.275142 | + | 1.30817i | ||||
\(271\) | 5.79430 | − | 21.6246i | 0.351978 | − | 1.31360i | −0.532266 | − | 0.846577i | \(-0.678659\pi\) |
0.884244 | − | 0.467024i | \(-0.154674\pi\) | |||||||
\(272\) | 6.67221 | − | 11.5566i | 0.404562 | − | 0.700722i | ||||
\(273\) | 4.94197 | − | 3.81797i | 0.299102 | − | 0.231074i | ||||
\(274\) | −4.03076 | − | 6.98148i | −0.243507 | − | 0.421767i | ||||
\(275\) | 0.165641 | − | 0.0443833i | 0.00998851 | − | 0.00267641i | ||||
\(276\) | 5.38595 | + | 0.569961i | 0.324196 | + | 0.0343076i | ||||
\(277\) | 5.15145 | − | 2.97419i | 0.309521 | − | 0.178702i | −0.337191 | − | 0.941436i | \(-0.609477\pi\) |
0.646712 | + | 0.762734i | \(0.276144\pi\) | |||||||
\(278\) | −23.4201 | − | 23.4201i | −1.40465 | − | 1.40465i | ||||
\(279\) | 12.8832 | − | 8.34038i | 0.771295 | − | 0.499326i | ||||
\(280\) | 1.70443 | − | 0.456699i | 0.101859 | − | 0.0272930i | ||||
\(281\) | −4.46763 | − | 16.6734i | −0.266516 | − | 0.994653i | −0.961316 | − | 0.275449i | \(-0.911173\pi\) |
0.694799 | − | 0.719204i | \(-0.255493\pi\) | |||||||
\(282\) | 2.65912 | − | 25.1278i | 0.158348 | − | 1.49634i | ||||
\(283\) | 8.39886 | + | 4.84908i | 0.499260 | + | 0.288248i | 0.728408 | − | 0.685144i | \(-0.240261\pi\) |
−0.229148 | + | 0.973392i | \(0.573594\pi\) | |||||||
\(284\) | 2.52420 | + | 9.42045i | 0.149784 | + | 0.559001i | ||||
\(285\) | 9.05300 | − | 4.02294i | 0.536253 | − | 0.238298i | ||||
\(286\) | −0.654323 | − | 1.19371i | −0.0386909 | − | 0.0705855i | ||||
\(287\) | 7.34381i | 0.433491i | ||||||||
\(288\) | 24.0913 | − | 1.22819i | 1.41959 | − | 0.0723718i | ||||
\(289\) | −1.45307 | − | 2.51679i | −0.0854746 | − | 0.148046i | ||||
\(290\) | −4.88832 | − | 8.46682i | −0.287052 | − | 0.497189i | ||||
\(291\) | −5.92463 | + | 0.934048i | −0.347308 | + | 0.0547548i | ||||
\(292\) | 5.53501 | − | 5.53501i | 0.323912 | − | 0.323912i | ||||
\(293\) | −22.8428 | + | 22.8428i | −1.33449 | + | 1.33449i | −0.433181 | + | 0.901307i | \(0.642609\pi\) |
−0.901307 | + | 0.433181i | \(0.857391\pi\) | |||||||
\(294\) | 2.28894 | + | 2.83072i | 0.133494 | + | 0.165091i | ||||
\(295\) | −10.3880 | − | 17.9925i | −0.604811 | − | 1.04756i | ||||
\(296\) | −0.609562 | − | 1.05579i | −0.0354301 | − | 0.0613667i | ||||
\(297\) | 0.421983 | + | 0.832578i | 0.0244860 | + | 0.0483111i | ||||
\(298\) | 16.4992i | 0.955774i | ||||||||
\(299\) | 4.66265 | + | 0.103446i | 0.269648 | + | 0.00598243i | ||||
\(300\) | 0.420639 | − | 3.97490i | 0.0242856 | − | 0.229491i | ||||
\(301\) | 0.269296 | + | 1.00503i | 0.0155220 | + | 0.0579288i | ||||
\(302\) | 4.26432 | + | 2.46201i | 0.245384 | + | 0.141673i | ||||
\(303\) | −16.0576 | + | 7.13560i | −0.922482 | + | 0.409929i | ||||
\(304\) | −2.20134 | − | 8.21551i | −0.126255 | − | 0.471192i | ||||
\(305\) | −11.1736 | + | 2.99396i | −0.639799 | + | 0.171434i | ||||
\(306\) | 12.8073 | − | 25.0475i | 0.732143 | − | 1.43187i | ||||
\(307\) | 18.1855 | + | 18.1855i | 1.03790 | + | 1.03790i | 0.999253 | + | 0.0386487i | \(0.0123053\pi\) |
0.0386487 | + | 0.999253i | \(0.487695\pi\) | |||||||
\(308\) | 0.376074 | − | 0.217127i | 0.0214288 | − | 0.0123719i | ||||
\(309\) | 17.4880 | − | 24.0342i | 0.994857 | − | 1.36726i | ||||
\(310\) | 20.8890 | − | 5.59718i | 1.18641 | − | 0.317898i | ||||
\(311\) | 3.89896 | + | 6.75320i | 0.221090 | + | 0.382939i | 0.955139 | − | 0.296157i | \(-0.0957053\pi\) |
−0.734049 | + | 0.679096i | \(0.762372\pi\) | |||||||
\(312\) | −5.42957 | + | 0.732974i | −0.307389 | + | 0.0414965i | ||||
\(313\) | −14.5254 | + | 25.1587i | −0.821024 | + | 1.42206i | 0.0838962 | + | 0.996475i | \(0.473264\pi\) |
−0.904920 | + | 0.425581i | \(0.860070\pi\) | |||||||
\(314\) | −7.95676 | + | 29.6950i | −0.449026 | + | 1.67579i | ||||
\(315\) | −5.74126 | + | 1.85642i | −0.323484 | + | 0.104597i | ||||
\(316\) | −25.0320 | − | 14.4522i | −1.40816 | − | 0.813001i | ||||
\(317\) | 5.98943 | − | 1.60486i | 0.336400 | − | 0.0901381i | −0.0866648 | − | 0.996238i | \(-0.527621\pi\) |
0.423065 | + | 0.906099i | \(0.360954\pi\) | |||||||
\(318\) | −0.166435 | + | 0.432658i | −0.00933322 | + | 0.0242623i | ||||
\(319\) | −0.293767 | − | 0.293767i | −0.0164478 | − | 0.0164478i | ||||
\(320\) | 21.2115 | + | 5.68361i | 1.18576 | + | 0.317723i | ||||
\(321\) | −18.7595 | + | 25.7816i | −1.04705 | + | 1.43899i | ||||
\(322\) | 2.71864i | 0.151504i | ||||||||
\(323\) | −12.2552 | − | 3.28378i | −0.681900 | − | 0.182715i | ||||
\(324\) | 21.6440 | − | 2.21260i | 1.20244 | − | 0.122922i | ||||
\(325\) | 0.0763444 | − | 3.44110i | 0.00423483 | − | 0.190878i | ||||
\(326\) | −40.8432 | − | 23.5808i | −2.26210 | − | 1.30602i | ||||
\(327\) | −4.96762 | + | 12.9136i | −0.274710 | + | 0.714125i | ||||
\(328\) | 3.22141 | − | 5.57965i | 0.177873 | − | 0.308084i | ||||
\(329\) | 6.94109 | 0.382675 | ||||||||
\(330\) | 0.204829 | + | 1.29922i | 0.0112755 | + | 0.0715200i | ||||
\(331\) | 6.47091 | + | 1.73388i | 0.355674 | + | 0.0953025i | 0.432231 | − | 0.901763i | \(-0.357726\pi\) |
−0.0765579 | + | 0.997065i | \(0.524393\pi\) | |||||||
\(332\) | 2.05446 | + | 7.66736i | 0.112753 | + | 0.420801i | ||||
\(333\) | 2.26553 | + | 3.49950i | 0.124150 | + | 0.191772i | ||||
\(334\) | −10.8155 | + | 18.7330i | −0.591797 | + | 1.02502i | ||||
\(335\) | 3.78959 | 0.207048 | ||||||||
\(336\) | 0.806758 | + | 5.11723i | 0.0440122 | + | 0.279168i | ||||
\(337\) | −15.7734 | + | 9.10680i | −0.859234 | + | 0.496079i | −0.863756 | − | 0.503911i | \(-0.831894\pi\) |
0.00452190 | + | 0.999990i | \(0.498561\pi\) | |||||||
\(338\) | −26.6796 | + | 5.89425i | −1.45118 | + | 0.320605i | ||||
\(339\) | 0.339066 | + | 0.763016i | 0.0184155 | + | 0.0414413i | ||||
\(340\) | 15.3394 | − | 15.3394i | 0.831898 | − | 0.831898i | ||||
\(341\) | 0.795850 | − | 0.459484i | 0.0430977 | − | 0.0248825i | ||||
\(342\) | −5.51652 | − | 17.0607i | −0.298299 | − | 0.922537i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 0.236257 | − | 0.881724i | 0.0127381 | − | 0.0475394i | ||||
\(345\) | −4.20573 | − | 1.61786i | −0.226429 | − | 0.0871028i | ||||
\(346\) | 4.34485 | − | 16.2152i | 0.233581 | − | 0.871735i | ||||
\(347\) | 16.1015i | 0.864376i | 0.901784 | + | 0.432188i | \(0.142258\pi\) | ||||
−0.901784 | + | 0.432188i | \(0.857742\pi\) | |||||||
\(348\) | −8.84924 | + | 3.93239i | −0.474369 | + | 0.210798i | ||||
\(349\) | −2.55102 | − | 2.55102i | −0.136553 | − | 0.136553i | 0.635526 | − | 0.772079i | \(-0.280783\pi\) |
−0.772079 | + | 0.635526i | \(0.780783\pi\) | |||||||
\(350\) | 2.00639 | 0.107246 | ||||||||
\(351\) | 18.4149 | − | 3.44849i | 0.982914 | − | 0.184067i | ||||
\(352\) | 1.44442 | 0.0769878 | ||||||||
\(353\) | −1.25311 | − | 1.25311i | −0.0666961 | − | 0.0666961i | 0.672972 | − | 0.739668i | \(-0.265017\pi\) |
−0.739668 | + | 0.672972i | \(0.765017\pi\) | |||||||
\(354\) | −34.3632 | + | 15.2702i | −1.82638 | + | 0.811602i | ||||
\(355\) | − | 8.11439i | − | 0.430667i | ||||||
\(356\) | 5.79413 | − | 21.6240i | 0.307088 | − | 1.14607i | ||||
\(357\) | 7.21252 | + | 2.77452i | 0.381727 | + | 0.146843i | ||||
\(358\) | −5.62947 | + | 21.0095i | −0.297527 | + | 1.11038i | ||||
\(359\) | 23.2719 | − | 23.2719i | 1.22824 | − | 1.22824i | 0.263614 | − | 0.964628i | \(-0.415086\pi\) |
0.964628 | − | 0.263614i | \(-0.0849144\pi\) | |||||||
\(360\) | 5.17640 | + | 1.10798i | 0.272820 | + | 0.0583957i | ||||
\(361\) | 9.45123 | − | 5.45667i | 0.497433 | − | 0.287193i | ||||
\(362\) | 21.9366 | − | 21.9366i | 1.15296 | − | 1.15296i | ||||
\(363\) | −7.71429 | − | 17.3598i | −0.404895 | − | 0.911154i | ||||
\(364\) | −2.06860 | − | 8.46709i | −0.108424 | − | 0.443796i | ||||
\(365\) | −5.64016 | + | 3.25635i | −0.295220 | + | 0.170445i | ||||
\(366\) | 3.26055 | + | 20.6816i | 0.170432 | + | 1.08104i | ||||
\(367\) | −29.4807 | −1.53888 | −0.769440 | − | 0.638719i | \(-0.779465\pi\) | ||||
−0.769440 | + | 0.638719i | \(0.779465\pi\) | |||||||
\(368\) | −1.93439 | + | 3.35046i | −0.100837 | + | 0.174655i | ||||
\(369\) | −10.0300 | + | 19.6159i | −0.522140 | + | 1.02116i | ||||
\(370\) | 1.52038 | + | 5.67415i | 0.0790409 | + | 0.294985i | ||||
\(371\) | −0.123002 | − | 0.0329582i | −0.00638592 | − | 0.00171110i | ||||
\(372\) | −3.33579 | − | 21.1588i | −0.172952 | − | 1.09703i | ||||
\(373\) | −10.8374 | −0.561140 | −0.280570 | − | 0.959834i | \(-0.590523\pi\) | ||||
−0.280570 | + | 0.959834i | \(0.590523\pi\) | |||||||
\(374\) | 0.842246 | − | 1.45881i | 0.0435515 | − | 0.0754334i | ||||
\(375\) | −7.44780 | + | 19.3610i | −0.384603 | + | 0.999797i | ||||
\(376\) | −5.27367 | − | 3.04476i | −0.271969 | − | 0.157021i | ||||
\(377\) | −7.31222 | + | 4.00814i | −0.376598 | + | 0.206430i | ||||
\(378\) | 2.24781 | + | 10.6873i | 0.115615 | + | 0.549694i | ||||
\(379\) | 21.5306 | + | 5.76912i | 1.10595 | + | 0.296340i | 0.765187 | − | 0.643808i | \(-0.222646\pi\) |
0.340768 | + | 0.940148i | \(0.389313\pi\) | |||||||
\(380\) | − | 13.8266i | − | 0.709290i | ||||||
\(381\) | −1.97056 | + | 2.70819i | −0.100955 | + | 0.138745i | ||||
\(382\) | −22.8292 | − | 6.11707i | −1.16804 | − | 0.312976i | ||||
\(383\) | 15.1077 | + | 15.1077i | 0.771968 | + | 0.771968i | 0.978450 | − | 0.206482i | \(-0.0662016\pi\) |
−0.206482 | + | 0.978450i | \(0.566202\pi\) | |||||||
\(384\) | 4.26949 | − | 11.0988i | 0.217876 | − | 0.566382i | ||||
\(385\) | −0.348991 | + | 0.0935119i | −0.0177862 | + | 0.00476581i | ||||
\(386\) | −41.6308 | − | 24.0356i | −2.11895 | − | 1.22338i | ||||
\(387\) | −0.653329 | + | 3.05230i | −0.0332106 | + | 0.155157i | ||||
\(388\) | −2.16660 | + | 8.08588i | −0.109993 | + | 0.410498i | ||||
\(389\) | 16.5885 | − | 28.7321i | 0.841070 | − | 1.45678i | −0.0479207 | − | 0.998851i | \(-0.515259\pi\) |
0.888991 | − | 0.457925i | \(-0.151407\pi\) | |||||||
\(390\) | 26.1848 | + | 3.35981i | 1.32592 | + | 0.170130i | ||||
\(391\) | 2.88557 | + | 4.99795i | 0.145929 | + | 0.252757i | ||||
\(392\) | 0.847420 | − | 0.227065i | 0.0428012 | − | 0.0114685i | ||||
\(393\) | −14.5185 | + | 19.9531i | −0.732359 | + | 1.00650i | ||||
\(394\) | 2.36690 | − | 1.36653i | 0.119243 | − | 0.0688448i | ||||
\(395\) | 17.0050 | + | 17.0050i | 0.855616 | + | 0.855616i | ||||
\(396\) | 1.30107 | − | 0.0663294i | 0.0653812 | − | 0.00333318i | ||||
\(397\) | −21.1877 | + | 5.67722i | −1.06338 | + | 0.284932i | −0.747770 | − | 0.663958i | \(-0.768876\pi\) |
−0.315609 | + | 0.948889i | \(0.602209\pi\) | |||||||
\(398\) | 13.6027 | + | 50.7661i | 0.681844 | + | 2.54467i | ||||
\(399\) | 4.50104 | − | 2.00016i | 0.225334 | − | 0.100133i | ||||
\(400\) | 2.47268 | + | 1.42760i | 0.123634 | + | 0.0713802i | ||||
\(401\) | −6.92418 | − | 25.8414i | −0.345777 | − | 1.29046i | −0.891702 | − | 0.452623i | \(-0.850488\pi\) |
0.545925 | − | 0.837834i | \(-0.316178\pi\) | |||||||
\(402\) | 0.721811 | − | 6.82087i | 0.0360006 | − | 0.340194i | ||||
\(403\) | −4.37759 | − | 17.9181i | −0.218063 | − | 0.892564i | ||||
\(404\) | 24.5246i | 1.22015i | ||||||||
\(405\) | −17.8708 | − | 2.88263i | −0.888008 | − | 0.143239i | ||||
\(406\) | −2.43041 | − | 4.20960i | −0.120619 | − | 0.208919i | ||||
\(407\) | 0.124811 | + | 0.216180i | 0.00618667 | + | 0.0107156i | ||||
\(408\) | −4.26284 | − | 5.27183i | −0.211042 | − | 0.260995i | ||||
\(409\) | 21.4988 | − | 21.4988i | 1.06305 | − | 1.06305i | 0.0651713 | − | 0.997874i | \(-0.479241\pi\) |
0.997874 | − | 0.0651713i | \(-0.0207594\pi\) | |||||||
\(410\) | −21.9518 | + | 21.9518i | −1.08412 | + | 1.08412i | ||||
\(411\) | 6.56239 | − | 1.03459i | 0.323699 | − | 0.0510328i | ||||
\(412\) | −20.7423 | − | 35.9267i | −1.02190 | − | 1.76998i | ||||
\(413\) | −5.16478 | − | 8.94565i | −0.254142 | − | 0.440187i | ||||
\(414\) | −3.71305 | + | 7.26171i | −0.182487 | + | 0.356893i | ||||
\(415\) | − | 6.60435i | − | 0.324195i | ||||||
\(416\) | 8.12290 | − | 27.8305i | 0.398258 | − | 1.36450i | ||||
\(417\) | 24.9430 | − | 11.0841i | 1.22146 | − | 0.542789i | ||||
\(418\) | −0.277879 | − | 1.03706i | −0.0135915 | − | 0.0507243i | ||||
\(419\) | 0.0679725 | + | 0.0392440i | 0.00332068 | + | 0.00191719i | 0.501659 | − | 0.865065i | \(-0.332723\pi\) |
−0.498339 | + | 0.866982i | \(0.666056\pi\) | |||||||
\(420\) | −0.886251 | + | 8.37478i | −0.0432446 | + | 0.408648i | ||||
\(421\) | 2.17516 | + | 8.11782i | 0.106011 | + | 0.395638i | 0.998458 | − | 0.0555141i | \(-0.0176798\pi\) |
−0.892447 | + | 0.451152i | \(0.851013\pi\) | |||||||
\(422\) | −31.0333 | + | 8.31535i | −1.51068 | + | 0.404785i | ||||
\(423\) | 18.5402 | + | 9.47996i | 0.901455 | + | 0.460932i | ||||
\(424\) | 0.0789963 | + | 0.0789963i | 0.00383640 | + | 0.00383640i | ||||
\(425\) | 3.68855 | − | 2.12959i | 0.178921 | − | 0.103300i | ||||
\(426\) | −14.6050 | − | 1.54556i | −0.707617 | − | 0.0748827i | ||||
\(427\) | −5.55538 | + | 1.48856i | −0.268844 | + | 0.0720365i | ||||
\(428\) | 22.2504 | + | 38.5388i | 1.07551 | + | 1.86284i | ||||
\(429\) | 1.11174 | − | 0.150081i | 0.0536751 | − | 0.00724597i | ||||
\(430\) | −2.19921 | + | 3.80915i | −0.106056 | + | 0.183694i | ||||
\(431\) | −7.19743 | + | 26.8612i | −0.346688 | + | 1.29386i | 0.543940 | + | 0.839124i | \(0.316932\pi\) |
−0.890628 | + | 0.454733i | \(0.849735\pi\) | |||||||
\(432\) | −4.83408 | + | 14.7704i | −0.232580 | + | 0.710640i | ||||
\(433\) | 11.2278 | + | 6.48236i | 0.539573 | + | 0.311522i | 0.744906 | − | 0.667170i | \(-0.232494\pi\) |
−0.205333 | + | 0.978692i | \(0.565828\pi\) | |||||||
\(434\) | 10.3857 | − | 2.78285i | 0.498531 | − | 0.133581i | ||||
\(435\) | 7.95857 | − | 1.25471i | 0.381584 | − | 0.0601586i | ||||
\(436\) | 13.6550 | + | 13.6550i | 0.653955 | + | 0.653955i | ||||
\(437\) | 3.55301 | + | 0.952026i | 0.169964 | + | 0.0455416i | ||||
\(438\) | 4.78679 | + | 10.7719i | 0.228722 | + | 0.514703i | ||||
\(439\) | 37.7111i | 1.79985i | 0.436042 | + | 0.899926i | \(0.356380\pi\) | ||||
−0.436042 | + | 0.899926i | \(0.643620\pi\) | |||||||
\(440\) | 0.306175 | + | 0.0820393i | 0.0145963 | + | 0.00391107i | ||||
\(441\) | −2.85449 | + | 0.922989i | −0.135928 | + | 0.0439519i | ||||
\(442\) | −23.3713 | − | 24.4319i | −1.11166 | − | 1.16211i | ||||
\(443\) | −14.7627 | − | 8.52326i | −0.701398 | − | 0.404952i | 0.106470 | − | 0.994316i | \(-0.466045\pi\) |
−0.807868 | + | 0.589364i | \(0.799379\pi\) | |||||||
\(444\) | 5.74743 | − | 0.906112i | 0.272761 | − | 0.0430022i | ||||
\(445\) | −9.31300 | + | 16.1306i | −0.441479 | + | 0.764663i | ||||
\(446\) | −12.9471 | −0.613065 | ||||||||
\(447\) | −12.6903 | − | 4.88172i | −0.600232 | − | 0.230898i | ||||
\(448\) | 10.5461 | + | 2.82582i | 0.498257 | + | 0.133508i | ||||
\(449\) | −1.35255 | − | 5.04777i | −0.0638306 | − | 0.238219i | 0.926639 | − | 0.375953i | \(-0.122685\pi\) |
−0.990469 | + | 0.137734i | \(0.956018\pi\) | |||||||
\(450\) | 5.35924 | + | 2.74028i | 0.252637 | + | 0.129178i | ||||
\(451\) | −0.659603 | + | 1.14247i | −0.0310595 | + | 0.0537966i | ||||
\(452\) | 1.16535 | 0.0548135 | ||||||||
\(453\) | −3.15536 | + | 2.55144i | −0.148252 | + | 0.119877i | ||||
\(454\) | −13.9992 | + | 8.08244i | −0.657015 | + | 0.379328i | ||||
\(455\) | −0.160851 | + | 7.25010i | −0.00754083 | + | 0.339890i | ||||
\(456\) | −4.29716 | − | 0.454742i | −0.201233 | − | 0.0212953i | ||||
\(457\) | 16.3502 | − | 16.3502i | 0.764829 | − | 0.764829i | −0.212362 | − | 0.977191i | \(-0.568116\pi\) |
0.977191 | + | 0.212362i | \(0.0681155\pi\) | |||||||
\(458\) | −35.3897 | + | 20.4322i | −1.65365 | + | 0.954735i | ||||
\(459\) | 15.4758 | + | 17.2616i | 0.722350 | + | 0.805704i | ||||
\(460\) | −4.44717 | + | 4.44717i | −0.207351 | + | 0.207351i | ||||
\(461\) | −0.992217 | + | 3.70301i | −0.0462122 | + | 0.172466i | −0.985175 | − | 0.171552i | \(-0.945122\pi\) |
0.938963 | + | 0.344019i | \(0.111788\pi\) | |||||||
\(462\) | 0.101839 | + | 0.645959i | 0.00473796 | + | 0.0300527i | ||||
\(463\) | −2.40570 | + | 8.97818i | −0.111802 | + | 0.417251i | −0.999028 | − | 0.0440843i | \(-0.985963\pi\) |
0.887226 | + | 0.461336i | \(0.152630\pi\) | |||||||
\(464\) | − | 6.91723i | − | 0.321124i | ||||||
\(465\) | −1.87549 | + | 17.7228i | −0.0869737 | + | 0.821873i | ||||
\(466\) | 37.8816 | + | 37.8816i | 1.75483 | + | 1.75483i | ||||
\(467\) | 14.9370 | 0.691201 | 0.345601 | − | 0.938382i | \(-0.387675\pi\) | ||||
0.345601 | + | 0.938382i | \(0.387675\pi\) | |||||||
\(468\) | 6.03874 | − | 25.4415i | 0.279141 | − | 1.17603i | ||||
\(469\) | 1.88414 | 0.0870015 | ||||||||
\(470\) | 20.7480 | + | 20.7480i | 0.957034 | + | 0.957034i | ||||
\(471\) | −20.4856 | − | 14.9060i | −0.943928 | − | 0.686831i | ||||
\(472\) | 9.06225i | 0.417124i | ||||||||
\(473\) | −0.0483750 | + | 0.180538i | −0.00222429 | + | 0.00830115i | ||||
\(474\) | 33.8462 | − | 27.3683i | 1.55461 | − | 1.25707i | ||||
\(475\) | 0.702608 | − | 2.62217i | 0.0322379 | − | 0.120313i | ||||
\(476\) | 7.62659 | − | 7.62659i | 0.349564 | − | 0.349564i | ||||
\(477\) | −0.283533 | − | 0.256026i | −0.0129821 | − | 0.0117226i | ||||
\(478\) | 12.7862 | − | 7.38211i | 0.584827 | − | 0.337650i | ||||
\(479\) | −14.1199 | + | 14.1199i | −0.645156 | + | 0.645156i | −0.951818 | − | 0.306663i | \(-0.900788\pi\) |
0.306663 | + | 0.951818i | \(0.400788\pi\) | |||||||
\(480\) | −16.4811 | + | 22.6504i | −0.752256 | + | 1.03384i | ||||
\(481\) | 4.86716 | − | 1.18910i | 0.221923 | − | 0.0542183i | ||||
\(482\) | −10.1675 | + | 5.87018i | −0.463115 | + | 0.267380i | ||||
\(483\) | −2.09104 | − | 0.804381i | −0.0951454 | − | 0.0366006i | ||||
\(484\) | −26.5136 | −1.20516 | ||||||||
\(485\) | 3.48242 | − | 6.03173i | 0.158129 | − | 0.273887i | ||||
\(486\) | −8.59232 | + | 31.6165i | −0.389755 | + | 1.43415i | ||||
\(487\) | −7.12407 | − | 26.5874i | −0.322822 | − | 1.20479i | −0.916483 | − | 0.400074i | \(-0.868984\pi\) |
0.593661 | − | 0.804716i | \(-0.297682\pi\) | |||||||
\(488\) | 4.87381 | + | 1.30593i | 0.220627 | + | 0.0591168i | ||||
\(489\) | 30.2216 | − | 24.4374i | 1.36667 | − | 1.10510i | ||||
\(490\) | −4.22731 | −0.190970 | ||||||||
\(491\) | 15.5521 | − | 26.9370i | 0.701855 | − | 1.21565i | −0.265960 | − | 0.963984i | \(-0.585689\pi\) |
0.967815 | − | 0.251664i | \(-0.0809778\pi\) | |||||||
\(492\) | 19.3341 | + | 23.9104i | 0.871647 | + | 1.07796i | ||||
\(493\) | −8.93614 | − | 5.15929i | −0.402464 | − | 0.232363i | ||||
\(494\) | −21.5444 | − | 0.477985i | −0.969327 | − | 0.0215056i | ||||
\(495\) | −1.05990 | − | 0.226866i | −0.0476389 | − | 0.0101969i | ||||
\(496\) | 14.7795 | + | 3.96015i | 0.663618 | + | 0.177816i | ||||
\(497\) | − | 4.03438i | − | 0.180967i | ||||||
\(498\) | −11.8871 | − | 1.25794i | −0.532675 | − | 0.0563697i | ||||
\(499\) | −22.5308 | − | 6.03711i | −1.00862 | − | 0.270258i | −0.283565 | − | 0.958953i | \(-0.591517\pi\) |
−0.725051 | + | 0.688695i | \(0.758184\pi\) | |||||||
\(500\) | 20.4725 | + | 20.4725i | 0.915557 | + | 0.915557i | ||||
\(501\) | −11.2084 | − | 13.8613i | −0.500753 | − | 0.619279i | ||||
\(502\) | −50.9268 | + | 13.6458i | −2.27297 | + | 0.609042i | ||||
\(503\) | −23.1717 | − | 13.3782i | −1.03317 | − | 0.596503i | −0.115281 | − | 0.993333i | \(-0.536777\pi\) |
−0.917892 | + | 0.396830i | \(0.870110\pi\) | |||||||
\(504\) | 2.57364 | + | 0.550875i | 0.114639 | + | 0.0245379i | ||||
\(505\) | 5.28113 | − | 19.7094i | 0.235007 | − | 0.877059i | ||||
\(506\) | −0.244182 | + | 0.422935i | −0.0108552 | + | 0.0188018i | ||||
\(507\) | 3.36031 | − | 22.2645i | 0.149237 | − | 0.988802i | ||||
\(508\) | 2.33726 | + | 4.04825i | 0.103699 | + | 0.179612i | ||||
\(509\) | 30.7480 | − | 8.23889i | 1.36288 | − | 0.365182i | 0.498006 | − | 0.867173i | \(-0.334066\pi\) |
0.864873 | + | 0.501991i | \(0.167399\pi\) | |||||||
\(510\) | 13.2659 | + | 29.8528i | 0.587423 | + | 1.32191i | ||||
\(511\) | −2.80422 | + | 1.61902i | −0.124051 | + | 0.0716211i | ||||
\(512\) | 20.7165 | + | 20.7165i | 0.915549 | + | 0.915549i | ||||
\(513\) | 14.7544 | + | 0.804835i | 0.651422 | + | 0.0355344i | ||||
\(514\) | −51.2918 | + | 13.7436i | −2.26238 | + | 0.606204i | ||||
\(515\) | 8.93329 | + | 33.3395i | 0.393648 | + | 1.46911i | ||||
\(516\) | 3.52273 | + | 2.56324i | 0.155079 | + | 0.112841i | ||||
\(517\) | 1.07982 | + | 0.623432i | 0.0474902 | + | 0.0274185i | ||||
\(518\) | 0.755916 | + | 2.82112i | 0.0332130 | + | 0.123953i | ||||
\(519\) | 11.1863 | + | 8.13952i | 0.491026 | + | 0.357285i | ||||
\(520\) | 3.30252 | − | 5.43790i | 0.144825 | − | 0.238467i | ||||
\(521\) | 11.9181i | 0.522142i | 0.965320 | + | 0.261071i | \(0.0840757\pi\) | ||||
−0.965320 | + | 0.261071i | \(0.915924\pi\) | |||||||
\(522\) | −0.742460 | − | 14.5636i | −0.0324966 | − | 0.637430i | ||||
\(523\) | −13.8980 | − | 24.0720i | −0.607715 | − | 1.05259i | −0.991616 | − | 0.129219i | \(-0.958753\pi\) |
0.383901 | − | 0.923374i | \(-0.374580\pi\) | |||||||
\(524\) | 17.2202 | + | 29.8262i | 0.752267 | + | 1.30296i | ||||
\(525\) | −0.593644 | + | 1.54321i | −0.0259088 | + | 0.0673513i | ||||
\(526\) | 33.1778 | − | 33.1778i | 1.44662 | − | 1.44662i | ||||
\(527\) | 16.1394 | − | 16.1394i | 0.703044 | − | 0.703044i | ||||
\(528\) | −0.334111 | + | 0.868542i | −0.0145403 | + | 0.0377984i | ||||
\(529\) | 10.6634 | + | 18.4696i | 0.463627 | + | 0.803026i | ||||
\(530\) | −0.269154 | − | 0.466188i | −0.0116913 | − | 0.0202499i | ||||
\(531\) | −1.57777 | − | 30.9485i | −0.0684695 | − | 1.34305i | ||||
\(532\) | − | 6.87442i | − | 0.298044i | ||||||
\(533\) | 18.3032 | + | 19.1338i | 0.792800 | + | 0.828776i | ||||
\(534\) | 27.2595 | + | 19.8348i | 1.17963 | + | 0.858338i | ||||
\(535\) | −9.58278 | − | 35.7634i | −0.414300 | − | 1.54619i | ||||
\(536\) | −1.43152 | − | 0.826491i | −0.0618324 | − | 0.0356990i | ||||
\(537\) | −14.4937 | − | 10.5461i | −0.625451 | − | 0.455097i | ||||
\(538\) | −5.24637 | − | 19.5797i | −0.226187 | − | 0.844141i | ||||
\(539\) | −0.173514 | + | 0.0464930i | −0.00747379 | + | 0.00200259i | ||||
\(540\) | −13.8053 | + | 21.1593i | −0.594086 | + | 0.910550i | ||||
\(541\) | −27.7569 | − | 27.7569i | −1.19336 | − | 1.19336i | −0.976117 | − | 0.217248i | \(-0.930292\pi\) |
−0.217248 | − | 0.976117i | \(-0.569708\pi\) | |||||||
\(542\) | 40.7492 | − | 23.5266i | 1.75033 | − | 1.01055i | ||||
\(543\) | 10.3819 | + | 23.3630i | 0.445532 | + | 1.00260i | ||||
\(544\) | 34.6529 | − | 9.28522i | 1.48573 | − | 0.398100i | ||||
\(545\) | −8.03348 | − | 13.9144i | −0.344117 | − | 0.596027i | ||||
\(546\) | 13.0188 | + | 1.67046i | 0.557153 | + | 0.0714889i | ||||
\(547\) | −6.05457 | + | 10.4868i | −0.258875 | + | 0.448384i | −0.965941 | − | 0.258763i | \(-0.916685\pi\) |
0.707066 | + | 0.707147i | \(0.250018\pi\) | |||||||
\(548\) | 2.39983 | − | 8.95629i | 0.102516 | − | 0.382594i | ||||
\(549\) | −16.8719 | − | 3.61134i | −0.720075 | − | 0.154128i | ||||
\(550\) | 0.312132 | + | 0.180209i | 0.0133093 | + | 0.00768416i | ||||
\(551\) | −6.35264 | + | 1.70219i | −0.270632 | + | 0.0725156i | ||||
\(552\) | 1.23587 | + | 1.52840i | 0.0526022 | + | 0.0650529i | ||||
\(553\) | 8.45469 | + | 8.45469i | 0.359530 | + | 0.359530i | ||||
\(554\) | 12.0761 | + | 3.23578i | 0.513064 | + | 0.137475i | ||||
\(555\) | −4.81410 | − | 0.509446i | −0.204347 | − | 0.0216248i | ||||
\(556\) | − | 38.0953i | − | 1.61560i | ||||||
\(557\) | 11.8448 | + | 3.17381i | 0.501881 | + | 0.134479i | 0.500873 | − | 0.865521i | \(-0.333012\pi\) |
0.00100818 | + | 0.999999i | \(0.499679\pi\) | |||||||
\(558\) | 31.5419 | + | 6.75137i | 1.33527 | + | 0.285808i | ||||
\(559\) | 3.20649 | + | 1.94735i | 0.135620 | + | 0.0823643i | ||||
\(560\) | −5.20974 | − | 3.00784i | −0.220152 | − | 0.127105i | ||||
\(561\) | 0.872841 | + | 1.07944i | 0.0368514 | + | 0.0455739i | ||||
\(562\) | 18.1399 | − | 31.4193i | 0.765186 | − | 1.32534i | ||||
\(563\) | 42.9396 | 1.80969 | 0.904844 | − | 0.425743i | \(-0.139987\pi\) | ||||
0.904844 | + | 0.425743i | \(0.139987\pi\) | |||||||
\(564\) | 22.5992 | − | 18.2738i | 0.951597 | − | 0.769467i | ||||
\(565\) | −0.936545 | − | 0.250946i | −0.0394007 | − | 0.0105574i | ||||
\(566\) | 5.27558 | + | 19.6887i | 0.221749 | + | 0.827579i | ||||
\(567\) | −8.88515 | − | 1.43321i | −0.373141 | − | 0.0601891i | ||||
\(568\) | −1.76971 | + | 3.06522i | −0.0742552 | + | 0.128614i | ||||
\(569\) | 8.01701 | 0.336090 | 0.168045 | − | 0.985779i | \(-0.446255\pi\) | ||||
0.168045 | + | 0.985779i | \(0.446255\pi\) | |||||||
\(570\) | 19.4331 | + | 7.47554i | 0.813963 | + | 0.313116i | ||||
\(571\) | 11.1676 | − | 6.44763i | 0.467350 | − | 0.269825i | −0.247780 | − | 0.968816i | \(-0.579701\pi\) |
0.715130 | + | 0.698992i | \(0.246368\pi\) | |||||||
\(572\) | 0.438684 | − | 1.50301i | 0.0183423 | − | 0.0628440i | ||||
\(573\) | 11.4595 | − | 15.7491i | 0.478729 | − | 0.657929i | ||||
\(574\) | −10.9142 | + | 10.9142i | −0.455548 | + | 0.455548i | ||||
\(575\) | −1.06938 | + | 0.617405i | −0.0445961 | + | 0.0257476i | ||||
\(576\) | 24.3100 | + | 21.9516i | 1.01292 | + | 0.914650i | ||||
\(577\) | 14.9564 | − | 14.9564i | 0.622645 | − | 0.622645i | −0.323562 | − | 0.946207i | \(-0.604880\pi\) |
0.946207 | + | 0.323562i | \(0.104880\pi\) | |||||||
\(578\) | 1.58087 | − | 5.89989i | 0.0657556 | − | 0.245403i | ||||
\(579\) | 30.8045 | − | 24.9087i | 1.28019 | − | 1.03517i | ||||
\(580\) | 2.91040 | − | 10.8618i | 0.120848 | − | 0.451011i | ||||
\(581\) | − | 3.28360i | − | 0.136227i | ||||||
\(582\) | −10.1932 | − | 7.41687i | −0.422521 | − | 0.307439i | ||||
\(583\) | −0.0161750 | − | 0.0161750i | −0.000669898 | − | 0.000669898i | ||||
\(584\) | 2.84077 | 0.117552 | ||||||||
\(585\) | −10.3317 | + | 19.1459i | −0.427161 | + | 0.791586i | ||||
\(586\) | −67.8965 | −2.80478 | ||||||||
\(587\) | 19.7722 | + | 19.7722i | 0.816087 | + | 0.816087i | 0.985539 | − | 0.169452i | \(-0.0541996\pi\) |
−0.169452 | + | 0.985539i | \(0.554200\pi\) | |||||||
\(588\) | −0.440633 | + | 4.16384i | −0.0181714 | + | 0.171714i | ||||
\(589\) | − | 14.5477i | − | 0.599427i | ||||||
\(590\) | 11.3016 | − | 42.1783i | 0.465281 | − | 1.73645i | ||||
\(591\) | 0.350754 | + | 2.22482i | 0.0144281 | + | 0.0915168i | ||||
\(592\) | −1.07571 | + | 4.01460i | −0.0442114 | + | 0.164999i | ||||
\(593\) | 3.60170 | − | 3.60170i | 0.147904 | − | 0.147904i | −0.629277 | − | 0.777181i | \(-0.716649\pi\) |
0.777181 | + | 0.629277i | \(0.216649\pi\) | |||||||
\(594\) | −0.610215 | + | 1.86450i | −0.0250374 | + | 0.0765012i | ||||
\(595\) | −7.77148 | + | 4.48686i | −0.318600 | + | 0.183944i | ||||
\(596\) | −13.4189 | + | 13.4189i | −0.549658 | + | 0.549658i | ||||
\(597\) | −43.0713 | − | 4.55797i | −1.76279 | − | 0.186545i | ||||
\(598\) | 6.77576 | + | 7.08324i | 0.277082 | + | 0.289655i | ||||
\(599\) | 24.2256 | − | 13.9866i | 0.989829 | − | 0.571478i | 0.0846059 | − | 0.996414i | \(-0.473037\pi\) |
0.905223 | + | 0.424936i | \(0.139704\pi\) | |||||||
\(600\) | 1.12798 | − | 0.912089i | 0.0460495 | − | 0.0372359i | ||||
\(601\) | −12.3336 | −0.503098 | −0.251549 | − | 0.967845i | \(-0.580940\pi\) | ||||
−0.251549 | + | 0.967845i | \(0.580940\pi\) | |||||||
\(602\) | −1.09342 | + | 1.89386i | −0.0445646 | + | 0.0771881i | ||||
\(603\) | 5.03269 | + | 2.57331i | 0.204947 | + | 0.104793i | ||||
\(604\) | 1.46583 | + | 5.47054i | 0.0596437 | + | 0.222593i | ||||
\(605\) | 21.3079 | + | 5.70943i | 0.866288 | + | 0.232121i | ||||
\(606\) | −34.4690 | − | 13.2596i | −1.40021 | − | 0.538633i | ||||
\(607\) | −7.98497 | −0.324100 | −0.162050 | − | 0.986783i | \(-0.551811\pi\) | ||||
−0.162050 | + | 0.986783i | \(0.551811\pi\) | |||||||
\(608\) | 11.4329 | − | 19.8024i | 0.463666 | − | 0.803093i | ||||
\(609\) | 3.95690 | − | 0.623826i | 0.160342 | − | 0.0252787i | ||||
\(610\) | −21.0554 | − | 12.1564i | −0.852510 | − | 0.492197i | ||||
\(611\) | 18.0845 | − | 17.2995i | 0.731622 | − | 0.699863i | ||||
\(612\) | 30.7874 | − | 9.95501i | 1.24451 | − | 0.402407i | ||||
\(613\) | 14.6591 | + | 3.92788i | 0.592074 | + | 0.158646i | 0.542401 | − | 0.840120i | \(-0.317515\pi\) |
0.0496731 | + | 0.998766i | \(0.484182\pi\) | |||||||
\(614\) | 54.0536i | 2.18143i | ||||||||
\(615\) | −10.3891 | − | 23.3792i | −0.418931 | − | 0.942739i | ||||
\(616\) | 0.152226 | + | 0.0407889i | 0.00613337 | + | 0.00164343i | ||||
\(617\) | 31.5843 | + | 31.5843i | 1.27154 | + | 1.27154i | 0.945281 | + | 0.326257i | \(0.105787\pi\) |
0.326257 | + | 0.945281i | \(0.394213\pi\) | |||||||
\(618\) | 61.7091 | − | 9.72875i | 2.48230 | − | 0.391348i | ||||
\(619\) | 38.1473 | − | 10.2215i | 1.53327 | − | 0.410838i | 0.609185 | − | 0.793028i | \(-0.291497\pi\) |
0.924084 | + | 0.382190i | \(0.124830\pi\) | |||||||
\(620\) | 21.5413 | + | 12.4369i | 0.865118 | + | 0.499476i | ||||
\(621\) | −4.48672 | − | 5.00445i | −0.180046 | − | 0.200822i | ||||
\(622\) | −4.24189 | + | 15.8309i | −0.170084 | + | 0.634763i | ||||
\(623\) | −4.63031 | + | 8.01993i | −0.185510 | + | 0.321312i | ||||
\(624\) | 14.8558 | + | 11.3219i | 0.594708 | + | 0.453239i | ||||
\(625\) | −9.65779 | − | 16.7278i | −0.386312 | − | 0.669111i | ||||
\(626\) | −58.9775 | + | 15.8030i | −2.35721 | + | 0.631613i | ||||
\(627\) | 0.879870 | + | 0.0931112i | 0.0351386 | + | 0.00371850i | ||||
\(628\) | −30.6223 | + | 17.6798i | −1.22196 | + | 0.705501i | ||||
\(629\) | 4.38401 | + | 4.38401i | 0.174802 | + | 0.174802i | ||||
\(630\) | −11.2915 | − | 5.77355i | −0.449863 | − | 0.230024i | ||||
\(631\) | 13.8750 | − | 3.71779i | 0.552354 | − | 0.148003i | 0.0281626 | − | 0.999603i | \(-0.491034\pi\) |
0.524191 | + | 0.851601i | \(0.324368\pi\) | |||||||
\(632\) | −2.71496 | − | 10.1324i | −0.107995 | − | 0.403044i | ||||
\(633\) | 2.78629 | − | 26.3295i | 0.110745 | − | 1.04650i | ||||
\(634\) | 11.2864 | + | 6.51622i | 0.448241 | + | 0.258792i | ||||
\(635\) | −1.00661 | − | 3.75672i | −0.0399461 | − | 0.149081i | ||||
\(636\) | −0.487244 | + | 0.216520i | −0.0193205 | + | 0.00858557i | ||||
\(637\) | −0.0799733 | + | 3.60466i | −0.00316866 | + | 0.142822i | ||||
\(638\) | − | 0.873175i | − | 0.0345693i | ||||||
\(639\) | 5.51005 | − | 10.7761i | 0.217974 | − | 0.426297i | ||||
\(640\) | 6.90448 | + | 11.9589i | 0.272924 | + | 0.472717i | ||||
\(641\) | 10.3712 | + | 17.9635i | 0.409640 | + | 0.709517i | 0.994849 | − | 0.101365i | \(-0.0323211\pi\) |
−0.585210 | + | 0.810882i | \(0.698988\pi\) | |||||||
\(642\) | −66.1956 | + | 10.4361i | −2.61253 | + | 0.411879i | ||||
\(643\) | 11.4333 | − | 11.4333i | 0.450884 | − | 0.450884i | −0.444764 | − | 0.895648i | \(-0.646712\pi\) |
0.895648 | + | 0.444764i | \(0.146712\pi\) | |||||||
\(644\) | −2.21108 | + | 2.21108i | −0.0871288 | + | 0.0871288i | ||||
\(645\) | −2.27910 | − | 2.81856i | −0.0897396 | − | 0.110981i | ||||
\(646\) | −13.3331 | − | 23.0937i | −0.524585 | − | 0.908609i | ||||
\(647\) | 13.9659 | + | 24.1896i | 0.549054 | + | 0.950990i | 0.998340 | + | 0.0576017i | \(0.0183454\pi\) |
−0.449285 | + | 0.893388i | \(0.648321\pi\) | |||||||
\(648\) | 6.12204 | + | 4.98645i | 0.240496 | + | 0.195886i | ||||
\(649\) | − | 1.85555i | − | 0.0728367i | ||||||
\(650\) | 5.22752 | − | 5.00060i | 0.205040 | − | 0.196140i | ||||
\(651\) | −0.932471 | + | 8.81154i | −0.0365464 | + | 0.345351i | ||||
\(652\) | −14.0395 | − | 52.3963i | −0.549831 | − | 2.05200i | ||||
\(653\) | −12.4343 | − | 7.17895i | −0.486592 | − | 0.280934i | 0.236568 | − | 0.971615i | \(-0.423978\pi\) |
−0.723160 | + | 0.690681i | \(0.757311\pi\) | |||||||
\(654\) | −26.5746 | + | 11.8091i | −1.03915 | + | 0.461773i | ||||
\(655\) | −7.41638 | − | 27.6783i | −0.289782 | − | 1.08148i | ||||
\(656\) | −21.2164 | + | 5.68491i | −0.828360 | + | 0.221958i | ||||
\(657\) | −9.70151 | + | 0.494589i | −0.378492 | + | 0.0192958i | ||||
\(658\) | 10.3157 | + | 10.3157i | 0.402146 | + | 0.402146i | ||||
\(659\) | −3.28092 | + | 1.89424i | −0.127807 | + | 0.0737892i | −0.562540 | − | 0.826770i | \(-0.690176\pi\) |
0.434734 | + | 0.900559i | \(0.356843\pi\) | |||||||
\(660\) | −0.890075 | + | 1.22325i | −0.0346461 | + | 0.0476150i | ||||
\(661\) | 40.1706 | − | 10.7637i | 1.56245 | − | 0.418658i | 0.629014 | − | 0.777394i | \(-0.283459\pi\) |
0.933439 | + | 0.358736i | \(0.116792\pi\) | |||||||
\(662\) | 7.04006 | + | 12.1937i | 0.273620 | + | 0.473923i | ||||
\(663\) | 25.7068 | − | 10.7472i | 0.998368 | − | 0.417386i | ||||
\(664\) | −1.44037 | + | 2.49480i | −0.0558974 | + | 0.0968171i | ||||
\(665\) | −1.48034 | + | 5.52469i | −0.0574050 | + | 0.214238i | ||||
\(666\) | −1.83390 | + | 8.56783i | −0.0710621 | + | 0.331997i | ||||
\(667\) | 2.59074 | + | 1.49577i | 0.100314 | + | 0.0579163i | ||||
\(668\) | −24.0318 | + | 6.43931i | −0.929820 | + | 0.249145i | ||||
\(669\) | 3.83075 | − | 9.95826i | 0.148105 | − | 0.385008i | ||||
\(670\) | 5.63199 | + | 5.63199i | 0.217583 | + | 0.217583i | ||||
\(671\) | −0.997942 | − | 0.267398i | −0.0385251 | − | 0.0103228i | ||||
\(672\) | −8.19420 | + | 11.2615i | −0.316098 | + | 0.434421i | ||||
\(673\) | 30.6280i | 1.18062i | 0.807176 | + | 0.590311i | \(0.200995\pi\) | ||||
−0.807176 | + | 0.590311i | \(0.799005\pi\) | |||||||
\(674\) | −36.9763 | − | 9.90777i | −1.42427 | − | 0.381633i | ||||
\(675\) | −3.69335 | + | 3.31126i | −0.142157 | + | 0.127450i | ||||
\(676\) | −26.4924 | − | 16.9048i | −1.01894 | − | 0.650184i | ||||
\(677\) | −38.4387 | − | 22.1926i | −1.47732 | − | 0.852931i | −0.477648 | − | 0.878551i | \(-0.658511\pi\) |
−0.999672 | + | 0.0256201i | \(0.991844\pi\) | |||||||
\(678\) | −0.630062 | + | 1.63788i | −0.0241974 | + | 0.0629025i | ||||
\(679\) | 1.73142 | − | 2.99890i | 0.0664457 | − | 0.115087i | ||||
\(680\) | 7.87277 | 0.301907 | ||||||||
\(681\) | −2.07456 | − | 13.1588i | −0.0794972 | − | 0.504248i | ||||
\(682\) | 1.86564 | + | 0.499898i | 0.0714392 | + | 0.0191421i | ||||
\(683\) | −4.95172 | − | 18.4801i | −0.189472 | − | 0.707120i | −0.993629 | − | 0.112703i | \(-0.964049\pi\) |
0.804156 | − | 0.594418i | \(-0.202617\pi\) | |||||||
\(684\) | 9.38892 | − | 18.3621i | 0.358994 | − | 0.702093i | ||||
\(685\) | −3.85729 | + | 6.68102i | −0.147379 | + | 0.255269i | ||||
\(686\) | −2.10177 | −0.0802458 | ||||||||
\(687\) | −5.24443 | − | 33.2653i | −0.200088 | − | 1.26915i | ||||
\(688\) | −2.69507 | + | 1.55600i | −0.102749 | + | 0.0593220i | ||||
\(689\) | −0.402615 | + | 0.220691i | −0.0153384 | + | 0.00840764i | ||||
\(690\) | −3.84601 | − | 8.65486i | −0.146415 | − | 0.329485i | ||||
\(691\) | 6.09902 | − | 6.09902i | 0.232018 | − | 0.232018i | −0.581517 | − | 0.813534i | \(-0.697541\pi\) |
0.813534 | + | 0.581517i | \(0.197541\pi\) | |||||||
\(692\) | 16.7216 | − | 9.65419i | 0.635658 | − | 0.366997i | ||||
\(693\) | −0.526969 | − | 0.112795i | −0.0200179 | − | 0.00428472i | ||||
\(694\) | −23.9297 | + | 23.9297i | −0.908358 | + | 0.908358i | ||||
\(695\) | −8.20344 | + | 30.6157i | −0.311174 | + | 1.16132i | ||||
\(696\) | −3.28000 | − | 1.26175i | −0.124328 | − | 0.0478267i | ||||
\(697\) | −8.48029 | + | 31.6489i | −0.321214 | + | 1.19879i | ||||
\(698\) | − | 7.58252i | − | 0.287003i | ||||||
\(699\) | −40.3448 | + | 17.9283i | −1.52598 | + | 0.678110i | ||||
\(700\) | 1.63181 | + | 1.63181i | 0.0616765 | + | 0.0616765i | ||||
\(701\) | 11.7749 | 0.444732 | 0.222366 | − | 0.974963i | \(-0.428622\pi\) | ||||
0.222366 | + | 0.974963i | \(0.428622\pi\) | |||||||
\(702\) | 32.4927 | + | 22.2426i | 1.22636 | + | 0.839495i | ||||
\(703\) | 3.95164 | 0.149039 | ||||||||
\(704\) | 1.38683 | + | 1.38683i | 0.0522683 | + | 0.0522683i | ||||
\(705\) | −22.0971 | + | 9.81943i | −0.832225 | + | 0.369821i | ||||
\(706\) | − | 3.72467i | − | 0.140180i | ||||||
\(707\) | 2.62571 | − | 9.79930i | 0.0987501 | − | 0.368540i | ||||
\(708\) | −40.3670 | − | 15.5284i | −1.51709 | − | 0.583594i | ||||
\(709\) | 6.49962 | − | 24.2569i | 0.244098 | − | 0.910988i | −0.729736 | − | 0.683729i | \(-0.760357\pi\) |
0.973834 | − | 0.227259i | \(-0.0729763\pi\) | |||||||
\(710\) | 12.0594 | − | 12.0594i | 0.452581 | − | 0.452581i | ||||
\(711\) | 11.0359 | + | 34.1304i | 0.413880 | + | 1.27999i | ||||
\(712\) | 7.03600 | − | 4.06223i | 0.263685 | − | 0.152239i | ||||
\(713\) | −4.67910 | + | 4.67910i | −0.175234 | + | 0.175234i | ||||
\(714\) | 6.59564 | + | 14.8425i | 0.246836 | + | 0.555465i | ||||
\(715\) | −0.676210 | + | 1.11344i | −0.0252888 | + | 0.0416403i | ||||
\(716\) | −21.6655 | + | 12.5086i | −0.809678 | + | 0.467468i | ||||
\(717\) | 1.89480 | + | 12.0186i | 0.0707626 | + | 0.448845i | ||||
\(718\) | 69.1720 | 2.58148 | ||||||||
\(719\) | −5.85138 | + | 10.1349i | −0.218219 | + | 0.377967i | −0.954264 | − | 0.298966i | \(-0.903358\pi\) |
0.736044 | + | 0.676933i | \(0.236692\pi\) | |||||||
\(720\) | −9.80759 | − | 15.1495i | −0.365507 | − | 0.564589i | ||||
\(721\) | 4.44152 | + | 16.5760i | 0.165411 | + | 0.617322i | ||||
\(722\) | 22.1557 | + | 5.93660i | 0.824550 | + | 0.220937i | ||||
\(723\) | −1.50673 | − | 9.55712i | −0.0560358 | − | 0.355433i | ||||
\(724\) | 35.6822 | 1.32612 | ||||||||
\(725\) | 1.10390 | − | 1.91200i | 0.0409977 | − | 0.0710100i | ||||
\(726\) | 14.3349 | − | 37.2644i | 0.532019 | − | 1.38301i | ||||
\(727\) | −36.7618 | − | 21.2244i | −1.36342 | − | 0.787171i | −0.373343 | − | 0.927693i | \(-0.621788\pi\) |
−0.990078 | + | 0.140522i | \(0.955122\pi\) | |||||||
\(728\) | 1.64197 | − | 2.70366i | 0.0608555 | − | 0.100204i | ||||
\(729\) | −21.7755 | − | 15.9633i | −0.806500 | − | 0.591234i | ||||
\(730\) | −13.2218 | − | 3.54276i | −0.489359 | − | 0.131123i | ||||
\(731\) | 4.64224i | 0.171699i | ||||||||
\(732\) | −14.1686 | + | 19.4722i | −0.523686 | + | 0.719714i | ||||
\(733\) | −26.1516 | − | 7.00729i | −0.965930 | − | 0.258820i | −0.258821 | − | 0.965925i | \(-0.583334\pi\) |
−0.707108 | + | 0.707105i | \(0.750001\pi\) | |||||||
\(734\) | −43.8134 | − | 43.8134i | −1.61718 | − | 1.61718i | ||||
\(735\) | 1.25076 | − | 3.25142i | 0.0461349 | − | 0.119930i | ||||
\(736\) | −10.0465 | + | 2.69195i | −0.370318 | + | 0.0992265i | ||||
\(737\) | 0.293113 | + | 0.169229i | 0.0107970 | + | 0.00623363i | ||||
\(738\) | −44.0589 | + | 14.2463i | −1.62183 | + | 0.524413i | ||||
\(739\) | −7.35287 | + | 27.4413i | −0.270480 | + | 1.00944i | 0.688331 | + | 0.725397i | \(0.258344\pi\) |
−0.958810 | + | 0.284047i | \(0.908323\pi\) | |||||||
\(740\) | −3.37827 | + | 5.85133i | −0.124188 | + | 0.215099i | ||||
\(741\) | 6.74210 | − | 16.4294i | 0.247677 | − | 0.603548i | ||||
\(742\) | −0.133820 | − | 0.231783i | −0.00491269 | − | 0.00850903i | ||||
\(743\) | 1.32992 | − | 0.356350i | 0.0487899 | − | 0.0130732i | −0.234342 | − | 0.972154i | \(-0.575293\pi\) |
0.283131 | + | 0.959081i | \(0.408627\pi\) | |||||||
\(744\) | 4.57371 | − | 6.28576i | 0.167680 | − | 0.230447i | ||||
\(745\) | 13.6738 | − | 7.89457i | 0.500969 | − | 0.289235i | ||||
\(746\) | −16.1063 | − | 16.1063i | −0.589692 | − | 0.589692i | ||||
\(747\) | 4.48466 | − | 8.77076i | 0.164085 | − | 0.320905i | ||||
\(748\) | 1.87146 | − | 0.501456i | 0.0684273 | − | 0.0183350i | ||||
\(749\) | −4.76444 | − | 17.7811i | −0.174089 | − | 0.649709i | ||||
\(750\) | −39.8425 | + | 17.7050i | −1.45484 | + | 0.646497i | ||||
\(751\) | −32.2161 | − | 18.6000i | −1.17558 | − | 0.678723i | −0.220595 | − | 0.975366i | \(-0.570800\pi\) |
−0.954989 | + | 0.296642i | \(0.904133\pi\) | |||||||
\(752\) | 5.37316 | + | 20.0529i | 0.195939 | + | 0.731254i | ||||
\(753\) | 4.57240 | − | 43.2077i | 0.166628 | − | 1.57457i | ||||
\(754\) | −16.8240 | − | 4.91043i | −0.612694 | − | 0.178827i | ||||
\(755\) | − | 4.71210i | − | 0.171491i | ||||||
\(756\) | −6.86383 | + | 10.5201i | −0.249635 | + | 0.382614i | ||||
\(757\) | 1.43134 | + | 2.47916i | 0.0520230 | + | 0.0901065i | 0.890864 | − | 0.454270i | \(-0.150100\pi\) |
−0.838841 | + | 0.544376i | \(0.816766\pi\) | |||||||
\(758\) | 23.4243 | + | 40.5722i | 0.850811 | + | 1.47365i | ||||
\(759\) | −0.253052 | − | 0.312948i | −0.00918520 | − | 0.0113593i | ||||
\(760\) | 3.54817 | − | 3.54817i | 0.128706 | − | 0.128706i | ||||
\(761\) | 27.2539 | − | 27.2539i | 0.987953 | − | 0.987953i | −0.0119749 | − | 0.999928i | \(-0.503812\pi\) |
0.999928 | + | 0.0119749i | \(0.00381183\pi\) | |||||||
\(762\) | −6.95342 | + | 1.09624i | −0.251896 | + | 0.0397127i | ||||
\(763\) | −3.99415 | − | 6.91807i | −0.144598 | − | 0.250451i | ||||
\(764\) | −13.5920 | − | 23.5421i | −0.491742 | − | 0.851723i | ||||
\(765\) | −26.8863 | + | 1.37068i | −0.972075 | + | 0.0495570i | ||||
\(766\) | 44.9053i | 1.62250i | ||||||||
\(767\) | −35.7520 | − | 10.4350i | −1.29093 | − | 0.376784i | ||||
\(768\) | −11.7227 | + | 5.20931i | −0.423008 | + | 0.187975i | ||||
\(769\) | −9.46163 | − | 35.3113i | −0.341195 | − | 1.27336i | −0.896995 | − | 0.442041i | \(-0.854254\pi\) |
0.555799 | − | 0.831316i | \(-0.312412\pi\) | |||||||
\(770\) | −0.657636 | − | 0.379686i | −0.0236996 | − | 0.0136829i | ||||
\(771\) | 4.60517 | − | 43.5173i | 0.165851 | − | 1.56724i | ||||
\(772\) | −14.3103 | − | 53.4067i | −0.515038 | − | 1.92215i | ||||
\(773\) | −28.9964 | + | 7.76957i | −1.04293 | + | 0.279452i | −0.739327 | − | 0.673347i | \(-0.764856\pi\) |
−0.303603 | + | 0.952799i | \(0.598189\pi\) | |||||||
\(774\) | −5.50721 | + | 3.56529i | −0.197953 | + | 0.128152i | ||||
\(775\) | 3.45324 | + | 3.45324i | 0.124044 | + | 0.124044i | ||||
\(776\) | −2.63098 | + | 1.51900i | −0.0944466 | + | 0.0545288i | ||||
\(777\) | −2.39351 | − | 0.253290i | −0.0858667 | − | 0.00908674i | ||||
\(778\) | 67.3543 | − | 18.0475i | 2.41477 | − | 0.647035i | ||||
\(779\) | 10.4418 | + | 18.0857i | 0.374117 | + | 0.647989i | ||||
\(780\) | 18.5637 | + | 24.0288i | 0.664686 | + | 0.860368i | ||||
\(781\) | 0.362358 | − | 0.627622i | 0.0129662 | − | 0.0224581i | ||||
\(782\) | −3.13937 | + | 11.7163i | −0.112263 | + | 0.418973i | ||||
\(783\) | 11.4212 | + | 3.73795i | 0.408161 | + | 0.133583i | ||||
\(784\) | −2.59022 | − | 1.49546i | −0.0925078 | − | 0.0534094i | ||||
\(785\) | 28.4171 | − | 7.61433i | 1.01425 | − | 0.271767i | ||||
\(786\) | −51.2306 | + | 8.07676i | −1.82734 | + | 0.288089i | ||||
\(787\) | −23.3979 | − | 23.3979i | −0.834044 | − | 0.834044i | 0.154023 | − | 0.988067i | \(-0.450777\pi\) |
−0.988067 | + | 0.154023i | \(0.950777\pi\) | |||||||
\(788\) | 3.03641 | + | 0.813604i | 0.108168 | + | 0.0289834i | ||||
\(789\) | 15.7021 | + | 35.3351i | 0.559009 | + | 1.25796i | ||||
\(790\) | 50.5448i | 1.79830i | ||||||||
\(791\) | −0.465639 | − | 0.124767i | −0.0165562 | − | 0.00443622i | ||||
\(792\) | 0.350900 | + | 0.316857i | 0.0124687 | + | 0.0112590i | ||||
\(793\) | −10.7642 | + | 17.7242i | −0.382247 | + | 0.629405i | ||||
\(794\) | −39.9259 | − | 23.0512i | −1.41692 | − | 0.818057i | ||||
\(795\) | 0.438204 | − | 0.0690850i | 0.0155415 | − | 0.00245019i | ||||
\(796\) | −30.2251 | + | 52.3514i | −1.07130 | + | 1.85555i | ||||
\(797\) | −38.9375 | −1.37924 | −0.689619 | − | 0.724173i | \(-0.742222\pi\) | ||||
−0.689619 | + | 0.724173i | \(0.742222\pi\) | |||||||
\(798\) | 9.66190 | + | 3.71675i | 0.342028 | + | 0.131571i | ||||
\(799\) | 29.9133 | + | 8.01525i | 1.05826 | + | 0.283559i | ||||
\(800\) | 1.98669 | + | 7.41444i | 0.0702402 | + | 0.262140i | ||||
\(801\) | −23.3213 | + | 15.0979i | −0.824019 | + | 0.533459i | ||||
\(802\) | 28.1142 | − | 48.6953i | 0.992748 | − | 1.71949i | ||||
\(803\) | −0.581665 | −0.0205265 | ||||||||
\(804\) | 6.13449 | − | 4.96039i | 0.216347 | − | 0.174939i | ||||
\(805\) | 2.25309 | − | 1.30082i | 0.0794109 | − | 0.0458479i | ||||
\(806\) | 20.1235 | − | 33.1352i | 0.708822 | − | 1.16714i | ||||
\(807\) | 16.6120 | + | 1.75794i | 0.584768 | + | 0.0618824i | ||||
\(808\) | −6.29348 | + | 6.29348i | −0.221404 | + | 0.221404i | ||||
\(809\) | 2.89373 | − | 1.67070i | 0.101738 | − | 0.0587386i | −0.448268 | − | 0.893899i | \(-0.647959\pi\) |
0.550006 | + | 0.835161i | \(0.314625\pi\) | |||||||
\(810\) | −22.2750 | − | 30.8432i | −0.782665 | − | 1.08372i | ||||
\(811\) | −14.7750 | + | 14.7750i | −0.518820 | + | 0.518820i | −0.917214 | − | 0.398394i | \(-0.869568\pi\) |
0.398394 | + | 0.917214i | \(0.369568\pi\) | |||||||
\(812\) | 1.44702 | − | 5.40034i | 0.0507804 | − | 0.189515i | ||||
\(813\) | 6.03868 | + | 38.3031i | 0.211786 | + | 1.34335i | ||||
\(814\) | −0.135789 | + | 0.506772i | −0.00475940 | + | 0.0177623i | ||||
\(815\) | 45.1320i | 1.58090i | ||||||||
\(816\) | −2.43235 | + | 22.9849i | −0.0851491 | + | 0.804631i | ||||
\(817\) | 2.09220 | + | 2.09220i | 0.0731969 | + | 0.0731969i | ||||
\(818\) | 63.9017 | 2.23427 | ||||||||
\(819\) | −5.13677 | + | 9.51912i | −0.179493 | + | 0.332625i | ||||
\(820\) | −35.7069 | −1.24694 | ||||||||
\(821\) | −39.6039 | − | 39.6039i | −1.38218 | − | 1.38218i | −0.840730 | − | 0.541455i | \(-0.817874\pi\) |
−0.541455 | − | 0.840730i | \(-0.682126\pi\) | |||||||
\(822\) | 11.2904 | + | 8.21526i | 0.393799 | + | 0.286540i | ||||
\(823\) | 32.1048i | 1.11910i | 0.828795 | + | 0.559552i | \(0.189027\pi\) | ||||
−0.828795 | + | 0.559552i | \(0.810973\pi\) | |||||||
\(824\) | 3.89661 | − | 14.5423i | 0.135745 | − | 0.506606i | ||||
\(825\) | −0.230960 | + | 0.186756i | −0.00804099 | + | 0.00650200i | ||||
\(826\) | 5.61904 | − | 20.9705i | 0.195511 | − | 0.729658i | ||||
\(827\) | 14.4078 | − | 14.4078i | 0.501008 | − | 0.501008i | −0.410743 | − | 0.911751i | \(-0.634731\pi\) |
0.911751 | + | 0.410743i | \(0.134731\pi\) | |||||||
\(828\) | −8.92581 | + | 2.88613i | −0.310193 | + | 0.100300i | ||||
\(829\) | −47.6629 | + | 27.5182i | −1.65540 | + | 0.955747i | −0.680606 | + | 0.732650i | \(0.738283\pi\) |
−0.974796 | + | 0.223097i | \(0.928383\pi\) | |||||||
\(830\) | 9.81520 | − | 9.81520i | 0.340691 | − | 0.340691i | ||||
\(831\) | −6.06182 | + | 8.33091i | −0.210282 | + | 0.288996i | ||||
\(832\) | 34.5201 | − | 18.9219i | 1.19677 | − | 0.656000i | ||||
\(833\) | −3.86388 | + | 2.23081i | −0.133876 | + | 0.0772931i | ||||
\(834\) | 53.5424 | + | 20.5967i | 1.85402 | + | 0.713207i | ||||
\(835\) | 20.7000 | 0.716355 | ||||||||
\(836\) | 0.617444 | − | 1.06944i | 0.0213547 | − | 0.0369875i | ||||
\(837\) | −14.5253 | + | 22.2628i | −0.502067 | + | 0.769514i | ||||
\(838\) | 0.0426956 | + | 0.159342i | 0.00147490 | + | 0.00550439i | ||||
\(839\) | −49.8312 | − | 13.3522i | −1.72036 | − | 0.460970i | −0.742437 | − | 0.669916i | \(-0.766330\pi\) |
−0.977927 | + | 0.208946i | \(0.932997\pi\) | |||||||
\(840\) | −2.37655 | + | 1.92170i | −0.0819989 | + | 0.0663048i | ||||
\(841\) | 23.6513 | 0.815560 | ||||||||
\(842\) | −8.83181 | + | 15.2971i | −0.304364 | + | 0.527174i | ||||
\(843\) | 18.7989 | + | 23.2485i | 0.647467 | + | 0.800720i | ||||
\(844\) | −32.0024 | − | 18.4766i | −1.10157 | − | 0.635990i | ||||
\(845\) | 17.6506 | + | 19.2906i | 0.607199 | + | 0.663615i | ||||
\(846\) | 13.4651 | + | 41.6428i | 0.462938 | + | 1.43171i | ||||
\(847\) | 10.5940 | + | 2.83866i | 0.364015 | + | 0.0975374i | ||||
\(848\) | − | 0.380867i | − | 0.0130790i | ||||||
\(849\) | −16.7044 | − | 1.76773i | −0.573295 | − | 0.0606683i | ||||
\(850\) | 8.64676 | + | 2.31689i | 0.296582 | + | 0.0794688i | ||||
\(851\) | −1.27100 | − | 1.27100i | −0.0435694 | − | 0.0435694i | ||||
\(852\) | −10.6213 | − | 13.1353i | −0.363880 | − | 0.450009i | ||||
\(853\) | 38.2431 | − | 10.2472i | 1.30942 | − | 0.350858i | 0.464416 | − | 0.885617i | \(-0.346264\pi\) |
0.845004 | + | 0.534759i | \(0.179598\pi\) | |||||||
\(854\) | −10.4685 | − | 6.04400i | −0.358225 | − | 0.206821i | ||||
\(855\) | −11.4996 | + | 12.7351i | −0.393277 | + | 0.435530i | ||||
\(856\) | −4.17991 | + | 15.5996i | −0.142866 | + | 0.533184i | ||||
\(857\) | −14.2508 | + | 24.6832i | −0.486799 | + | 0.843161i | −0.999885 | − | 0.0151764i | \(-0.995169\pi\) |
0.513086 | + | 0.858337i | \(0.328502\pi\) | |||||||
\(858\) | 1.87528 | + | 1.42919i | 0.0640209 | + | 0.0487916i | ||||
\(859\) | −10.4691 | − | 18.1331i | −0.357202 | − | 0.618692i | 0.630290 | − | 0.776360i | \(-0.282936\pi\) |
−0.987492 | + | 0.157667i | \(0.949603\pi\) | |||||||
\(860\) | −4.88662 | + | 1.30937i | −0.166632 | + | 0.0446490i | ||||
\(861\) | −5.16536 | − | 11.6238i | −0.176035 | − | 0.396139i | ||||
\(862\) | −50.6169 | + | 29.2237i | −1.72402 | + | 0.995363i | ||||
\(863\) | −10.4269 | − | 10.4269i | −0.354937 | − | 0.354937i | 0.507006 | − | 0.861943i | \(-0.330752\pi\) |
−0.861943 | + | 0.507006i | \(0.830752\pi\) | |||||||
\(864\) | −37.2680 | + | 18.8889i | −1.26788 | + | 0.642613i | ||||
\(865\) | −15.5174 | + | 4.15786i | −0.527606 | + | 0.141372i | ||||
\(866\) | 7.05251 | + | 26.3203i | 0.239654 | + | 0.894401i | ||||
\(867\) | 4.07014 | + | 2.96156i | 0.138229 | + | 0.100580i | ||||
\(868\) | 10.7101 | + | 6.18345i | 0.363523 | + | 0.209880i | ||||
\(869\) | 0.555905 | + | 2.07466i | 0.0188578 | + | 0.0703782i | ||||
\(870\) | 13.6925 | + | 9.96309i | 0.464220 | + | 0.337780i | ||||
\(871\) | 4.90900 | − | 4.69591i | 0.166335 | − | 0.159115i | ||||
\(872\) | 7.00824i | 0.237329i | ||||||||
\(873\) | 8.72058 | − | 5.64558i | 0.295147 | − | 0.191074i | ||||
\(874\) | 3.86551 | + | 6.69526i | 0.130753 | + | 0.226471i | ||||
\(875\) | −5.98830 | − | 10.3720i | −0.202442 | − | 0.350639i | ||||
\(876\) | −4.86774 | + | 12.6540i | −0.164466 | + | 0.427538i | ||||
\(877\) | 0.235605 | − | 0.235605i | 0.00795581 | − | 0.00795581i | −0.703118 | − | 0.711073i | \(-0.748209\pi\) |
0.711073 | + | 0.703118i | \(0.248209\pi\) | |||||||
\(878\) | −56.0452 | + | 56.0452i | −1.89143 | + | 1.89143i | ||||
\(879\) | 20.0890 | − | 52.2224i | 0.677584 | − | 1.76142i | ||||
\(880\) | −0.540315 | − | 0.935852i | −0.0182140 | − | 0.0315476i | ||||
\(881\) | −4.87365 | − | 8.44141i | −0.164197 | − | 0.284398i | 0.772173 | − | 0.635413i | \(-0.219170\pi\) |
−0.936370 | + | 0.351015i | \(0.885837\pi\) | |||||||
\(882\) | −5.61398 | − | 2.87054i | −0.189033 | − | 0.0966560i | ||||
\(883\) | 20.3162i | 0.683693i | 0.939756 | + | 0.341847i | \(0.111052\pi\) | ||||
−0.939756 | + | 0.341847i | \(0.888948\pi\) | |||||||
\(884\) | 0.862562 | − | 38.8785i | 0.0290111 | − | 1.30763i | ||||
\(885\) | 29.0974 | + | 21.1722i | 0.978099 | + | 0.711695i | ||||
\(886\) | −9.27292 | − | 34.6070i | −0.311530 | − | 1.16264i | ||||
\(887\) | 31.6847 | + | 18.2932i | 1.06387 | + | 0.614225i | 0.926500 | − | 0.376295i | \(-0.122802\pi\) |
0.137369 | + | 0.990520i | \(0.456135\pi\) | |||||||
\(888\) | 1.70742 | + | 1.24237i | 0.0572974 | + | 0.0416913i | ||||
\(889\) | −0.500474 | − | 1.86779i | −0.0167854 | − | 0.0626438i | ||||
\(890\) | −37.8136 | + | 10.1321i | −1.26751 | + | 0.339629i | ||||
\(891\) | −1.25352 | − | 1.02100i | −0.0419946 | − | 0.0342049i | ||||
\(892\) | −10.5300 | − | 10.5300i | −0.352569 | − | 0.352569i | ||||
\(893\) | 17.0940 | − | 9.86921i | 0.572028 | − | 0.330260i | ||||
\(894\) | −11.6049 | − | 26.1151i | −0.388127 | − | 0.873419i | ||||
\(895\) | 20.1053 | − | 5.38719i | 0.672045 | − | 0.180074i | ||||
\(896\) | 3.43282 | + | 5.94582i | 0.114683 | + | 0.198636i | ||||
\(897\) | −7.45284 | + | 3.11580i | −0.248843 | + | 0.104033i | ||||
\(898\) | 5.49174 | − | 9.51198i | 0.183262 | − | 0.317419i | ||||
\(899\) | 3.06219 | − | 11.4282i | 0.102130 | − | 0.381153i | ||||
\(900\) | 2.13000 | + | 6.58736i | 0.0710001 | + | 0.219579i | ||||
\(901\) | −0.492029 | − | 0.284073i | −0.0163919 | − | 0.00946386i | ||||
\(902\) | −2.67818 | + | 0.717617i | −0.0891738 | + | 0.0238940i | ||||
\(903\) | −1.13314 | − | 1.40135i | −0.0377086 | − | 0.0466341i | ||||
\(904\) | 0.299051 | + | 0.299051i | 0.00994628 | + | 0.00994628i | ||||
\(905\) | −28.6763 | − | 7.68379i | −0.953232 | − | 0.255418i | ||||
\(906\) | −8.48129 | − | 0.897522i | −0.281772 | − | 0.0298182i | ||||
\(907\) | − | 18.5156i | − | 0.614802i | −0.951580 | − | 0.307401i | \(-0.900541\pi\) | ||
0.951580 | − | 0.307401i | \(-0.0994593\pi\) | |||||||
\(908\) | −17.9591 | − | 4.81212i | −0.595992 | − | 0.159696i | ||||
\(909\) | 20.3971 | − | 22.5886i | 0.676530 | − | 0.749215i | ||||
\(910\) | −11.0140 | + | 10.5359i | −0.365109 | + | 0.349260i | ||||
\(911\) | −45.1789 | − | 26.0841i | −1.49684 | − | 0.864203i | −0.496851 | − | 0.867836i | \(-0.665510\pi\) |
−0.999993 | + | 0.00363265i | \(0.998844\pi\) | |||||||
\(912\) | 9.26278 | + | 11.4552i | 0.306721 | + | 0.379321i | ||||
\(913\) | 0.294925 | − | 0.510825i | 0.00976060 | − | 0.0169059i | ||||
\(914\) | 48.5984 | 1.60749 | ||||||||
\(915\) | 15.5798 | − | 12.5980i | 0.515054 | − | 0.416476i | ||||
\(916\) | −45.4001 | − | 12.1649i | −1.50006 | − | 0.401940i | ||||
\(917\) | −3.68733 | − | 13.7613i | −0.121766 | − | 0.454439i | ||||
\(918\) | −2.65399 | + | 48.6535i | −0.0875949 | + | 1.60581i | ||||
\(919\) | −0.166972 | + | 0.289203i | −0.00550788 | + | 0.00953993i | −0.868766 | − | 0.495222i | \(-0.835087\pi\) |
0.863258 | + | 0.504762i | \(0.168420\pi\) | |||||||
\(920\) | −2.28245 | −0.0752503 | ||||||||
\(921\) | −41.5752 | − | 15.9932i | −1.36995 | − | 0.526993i | ||||
\(922\) | −6.97791 | + | 4.02870i | −0.229805 | + | 0.132678i | ||||
\(923\) | −10.0550 | − | 10.5113i | −0.330965 | − | 0.345983i | ||||
\(924\) | −0.442535 | + | 0.608186i | −0.0145583 | + | 0.0200079i | ||||
\(925\) | −0.938016 | + | 0.938016i | −0.0308418 | + | 0.0308418i | ||||
\(926\) | −16.9184 | + | 9.76785i | −0.555973 | + | 0.320991i | ||||
\(927\) | −10.7754 | + | 50.3419i | −0.353911 | + | 1.65344i | ||||
\(928\) | 13.1496 | − | 13.1496i | 0.431658 | − | 0.431658i | ||||
\(929\) | −9.30753 | + | 34.7362i | −0.305370 | + | 1.13966i | 0.627256 | + | 0.778813i | \(0.284178\pi\) |
−0.932626 | + | 0.360844i | \(0.882489\pi\) | |||||||
\(930\) | −29.1264 | + | 23.5518i | −0.955091 | + | 0.772293i | ||||
\(931\) | −0.736005 | + | 2.74681i | −0.0241216 | + | 0.0900230i | ||||
\(932\) | 61.6185i | 2.01838i | ||||||||
\(933\) | −10.9213 | − | 7.94664i | −0.357546 | − | 0.260161i | ||||
\(934\) | 22.1989 | + | 22.1989i | 0.726372 | + | 0.726372i | ||||
\(935\) | −1.61200 | −0.0527179 | ||||||||
\(936\) | 8.07842 | − | 4.97911i | 0.264051 | − | 0.162747i | ||||
\(937\) | 1.76777 | 0.0577506 | 0.0288753 | − | 0.999583i | \(-0.490807\pi\) | ||||
0.0288753 | + | 0.999583i | \(0.490807\pi\) | |||||||
\(938\) | 2.80016 | + | 2.80016i | 0.0914284 | + | 0.0914284i | ||||
\(939\) | 5.29522 | − | 50.0381i | 0.172803 | − | 1.63293i | ||||
\(940\) | 33.7488i | 1.10077i | ||||||||
\(941\) | 2.36900 | − | 8.84124i | 0.0772273 | − | 0.288216i | −0.916502 | − | 0.400031i | \(-0.869000\pi\) |
0.993729 | + | 0.111814i | \(0.0356662\pi\) | |||||||
\(942\) | −8.29234 | − | 52.5980i | −0.270179 | − | 1.71374i | ||||
\(943\) | 2.45859 | − | 9.17557i | 0.0800626 | − | 0.298798i | ||||
\(944\) | 21.8460 | − | 21.8460i | 0.711027 | − | 0.711027i | ||||
\(945\) | 7.78158 | − | 6.97654i | 0.253135 | − | 0.226947i | ||||
\(946\) | −0.340204 | + | 0.196417i | −0.0110610 | + | 0.00638607i | ||||
\(947\) | −40.1621 | + | 40.1621i | −1.30509 | + | 1.30509i | −0.380182 | + | 0.924912i | \(0.624139\pi\) |
−0.924912 | + | 0.380182i | \(0.875861\pi\) | |||||||
\(948\) | 49.7860 | + | 5.26854i | 1.61697 | + | 0.171114i | ||||
\(949\) | −3.27108 | + | 11.2073i | −0.106184 | + | 0.363804i | ||||
\(950\) | 4.94119 | − | 2.85280i | 0.160313 | − | 0.0925570i | ||||
\(951\) | −8.35132 | + | 6.75293i | −0.270810 | + | 0.218979i | ||||
\(952\) | 3.91425 | 0.126861 | ||||||||
\(953\) | −4.64629 | + | 8.04761i | −0.150508 | + | 0.260688i | −0.931414 | − | 0.363960i | \(-0.881424\pi\) |
0.780906 | + | 0.624648i | \(0.214758\pi\) | |||||||
\(954\) | −0.0408803 | − | 0.801879i | −0.00132355 | − | 0.0259618i | ||||
\(955\) | 5.85381 | + | 21.8467i | 0.189425 | + | 0.706943i | ||||
\(956\) | 16.4029 | + | 4.39515i | 0.530509 | + | 0.142149i | ||||
\(957\) | 0.671600 | + | 0.258352i | 0.0217098 | + | 0.00835133i | ||||
\(958\) | −41.9693 | −1.35597 | ||||||||
\(959\) | −1.91780 | + | 3.32172i | −0.0619289 | + | 0.107264i | ||||
\(960\) | −37.5714 | + | 5.92332i | −1.21261 | + | 0.191174i | ||||
\(961\) | −4.18212 | − | 2.41455i | −0.134907 | − | 0.0778886i | ||||
\(962\) | 9.00065 | + | 5.46623i | 0.290193 | + | 0.176238i | ||||
\(963\) | 11.5588 | − | 54.0020i | 0.372478 | − | 1.74019i | ||||
\(964\) | −13.0435 | − | 3.49499i | −0.420102 | − | 0.112566i | ||||
\(965\) | 46.0023i | 1.48087i | ||||||||
\(966\) | −1.91219 | − | 4.30309i | −0.0615237 | − | 0.138450i | ||||
\(967\) | 3.16113 | + | 0.847023i | 0.101655 | + | 0.0272384i | 0.309288 | − | 0.950968i | \(-0.399909\pi\) |
−0.207633 | + | 0.978207i | \(0.566576\pi\) | |||||||
\(968\) | −6.80388 | − | 6.80388i | −0.218685 | − | 0.218685i | ||||
\(969\) | 21.7074 | − | 3.42228i | 0.697342 | − | 0.109939i | ||||
\(970\) | 14.1397 | − | 3.78871i | 0.453997 | − | 0.121648i | ||||
\(971\) | 25.7777 | + | 14.8828i | 0.827247 | + | 0.477611i | 0.852909 | − | 0.522059i | \(-0.174836\pi\) |
−0.0256620 | + | 0.999671i | \(0.508169\pi\) | |||||||
\(972\) | −32.7020 | + | 18.7257i | −1.04892 | + | 0.600626i | ||||
\(973\) | −4.07865 | + | 15.2217i | −0.130756 | + | 0.487986i | ||||
\(974\) | 28.9258 | − | 50.1010i | 0.926844 | − | 1.60534i | ||||
\(975\) | 2.29950 | + | 5.50029i | 0.0736429 | + | 0.176150i | ||||
\(976\) | −8.60094 | − | 14.8973i | −0.275309 | − | 0.476850i | ||||
\(977\) | −23.7162 | + | 6.35474i | −0.758749 | + | 0.203306i | −0.617396 | − | 0.786653i | \(-0.711812\pi\) |
−0.141354 | + | 0.989959i | \(0.545146\pi\) | |||||||
\(978\) | 81.2328 | + | 8.59636i | 2.59754 | + | 0.274881i | ||||
\(979\) | −1.44066 | + | 0.831767i | −0.0460438 | + | 0.0265834i | ||||
\(980\) | −3.43808 | − | 3.43808i | −0.109825 | − | 0.109825i | ||||
\(981\) | −1.22016 | − | 23.9338i | −0.0389568 | − | 0.764148i | ||||
\(982\) | 63.1460 | − | 16.9199i | 2.01507 | − | 0.539937i | ||||
\(983\) | −3.63293 | − | 13.5583i | −0.115872 | − | 0.432442i | 0.883478 | − | 0.468472i | \(-0.155195\pi\) |
−0.999351 | + | 0.0360303i | \(0.988529\pi\) | |||||||
\(984\) | −1.17436 | + | 11.0973i | −0.0374373 | + | 0.353770i | ||||
\(985\) | −2.26504 | − | 1.30772i | −0.0721701 | − | 0.0416674i | ||||
\(986\) | −5.61306 | − | 20.9482i | −0.178756 | − | 0.667128i | ||||
\(987\) | −10.9864 | + | 4.88210i | −0.349701 | + | 0.155399i | ||||
\(988\) | −17.1334 | − | 17.9108i | −0.545085 | − | 0.569820i | ||||
\(989\) | − | 1.34587i | − | 0.0427960i | ||||||
\(990\) | −1.23803 | − | 1.91235i | −0.0393472 | − | 0.0607786i | ||||
\(991\) | −19.4336 | − | 33.6600i | −0.617328 | − | 1.06924i | −0.989971 | − | 0.141269i | \(-0.954882\pi\) |
0.372643 | − | 0.927975i | \(-0.378452\pi\) | |||||||
\(992\) | 20.5675 | + | 35.6240i | 0.653019 | + | 1.13106i | ||||
\(993\) | −11.4618 | + | 1.80700i | −0.363728 | + | 0.0573435i | ||||
\(994\) | 5.99578 | − | 5.99578i | 0.190175 | − | 0.190175i | ||||
\(995\) | 35.5640 | − | 35.5640i | 1.12745 | − | 1.12745i | ||||
\(996\) | −8.64476 | − | 10.6909i | −0.273920 | − | 0.338755i | ||||
\(997\) | −10.0658 | − | 17.4344i | −0.318786 | − | 0.552154i | 0.661449 | − | 0.749990i | \(-0.269942\pi\) |
−0.980235 | + | 0.197836i | \(0.936609\pi\) | |||||||
\(998\) | −24.5125 | − | 42.4568i | −0.775928 | − | 1.34395i | ||||
\(999\) | −6.04732 | − | 3.94555i | −0.191329 | − | 0.124832i |
(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 | 819.2.ew.a.470.71 | yes | 336 | |
9.5 | odd | 6 | 819.2.fy.a.743.71 | yes | 336 | ||
13.7 | odd | 12 | 819.2.fy.a.722.71 | yes | 336 | ||
117.59 | even | 12 | inner | 819.2.ew.a.176.71 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.71 | ✓ | 336 | 117.59 | even | 12 | inner | |
819.2.ew.a.470.71 | yes | 336 | 1.1 | even | 1 | trivial | |
819.2.fy.a.722.71 | yes | 336 | 13.7 | odd | 12 | ||
819.2.fy.a.743.71 | yes | 336 | 9.5 | odd | 6 |