Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 245.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.245 |
Dual form | 722.2.e.j.389.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 0.766044 | + | 0.642788i | 0.442276 | + | 0.371114i | 0.836560 | − | 0.547875i | \(-0.184563\pi\) |
−0.394284 | + | 0.918989i | \(0.629007\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(6\) | −0.766044 | + | 0.642788i | −0.312736 | + | 0.262417i | ||||
\(7\) | 2.00000 | + | 3.46410i | 0.755929 | + | 1.30931i | 0.944911 | + | 0.327327i | \(0.106148\pi\) |
−0.188982 | + | 0.981981i | \(0.560519\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.347296 | − | 1.96962i | −0.115765 | − | 0.656539i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | + | 2.59808i | −0.452267 | + | 0.783349i | −0.998526 | − | 0.0542666i | \(-0.982718\pi\) |
0.546259 | + | 0.837616i | \(0.316051\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 1.53209 | − | 1.28558i | 0.424925 | − | 0.356554i | −0.405108 | − | 0.914269i | \(-0.632766\pi\) |
0.830033 | + | 0.557714i | \(0.188322\pi\) | |||||||
\(14\) | −3.75877 | + | 1.36808i | −1.00457 | + | 0.365635i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −1.04189 | + | 5.90885i | −0.252695 | + | 1.43311i | 0.549225 | + | 0.835675i | \(0.314923\pi\) |
−0.801920 | + | 0.597431i | \(0.796188\pi\) | |||||||
\(18\) | 2.00000 | 0.471405 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.694593 | + | 3.93923i | −0.151573 | + | 0.859611i | ||||
\(22\) | −2.29813 | − | 1.92836i | −0.489964 | − | 0.411128i | ||||
\(23\) | 5.63816 | + | 2.05212i | 1.17564 | + | 0.427897i | 0.854659 | − | 0.519190i | \(-0.173766\pi\) |
0.320978 | + | 0.947087i | \(0.395988\pi\) | |||||||
\(24\) | 0.939693 | − | 0.342020i | 0.191814 | − | 0.0698146i | ||||
\(25\) | −3.83022 | + | 3.21394i | −0.766044 | + | 0.642788i | ||||
\(26\) | 1.00000 | + | 1.73205i | 0.196116 | + | 0.339683i | ||||
\(27\) | 2.50000 | − | 4.33013i | 0.481125 | − | 0.833333i | ||||
\(28\) | −0.694593 | − | 3.93923i | −0.131266 | − | 0.744445i | ||||
\(29\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.00000 | − | 1.73205i | −0.179605 | − | 0.311086i | 0.762140 | − | 0.647412i | \(-0.224149\pi\) |
−0.941745 | + | 0.336327i | \(0.890815\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | −2.81908 | + | 1.02606i | −0.490738 | + | 0.178614i | ||||
\(34\) | −5.63816 | − | 2.05212i | −0.966936 | − | 0.351936i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.347296 | + | 1.96962i | −0.0578827 | + | 0.328269i | ||||
\(37\) | −10.0000 | −1.64399 | −0.821995 | − | 0.569495i | \(-0.807139\pi\) | ||||
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.00000 | 0.320256 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.89440 | + | 5.78509i | 1.07672 | + | 0.903479i | 0.995645 | − | 0.0932286i | \(-0.0297187\pi\) |
0.0810797 | + | 0.996708i | \(0.474163\pi\) | |||||||
\(42\) | −3.75877 | − | 1.36808i | −0.579991 | − | 0.211099i | ||||
\(43\) | 3.75877 | − | 1.36808i | 0.573207 | − | 0.208630i | −0.0391204 | − | 0.999235i | \(-0.512456\pi\) |
0.612328 | + | 0.790604i | \(0.290233\pi\) | |||||||
\(44\) | 2.29813 | − | 1.92836i | 0.346457 | − | 0.290712i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.00000 | + | 5.19615i | −0.442326 | + | 0.766131i | ||||
\(47\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(48\) | 0.173648 | + | 0.984808i | 0.0250640 | + | 0.142145i | ||||
\(49\) | −4.50000 | + | 7.79423i | −0.642857 | + | 1.11346i | ||||
\(50\) | −2.50000 | − | 4.33013i | −0.353553 | − | 0.612372i | ||||
\(51\) | −4.59627 | + | 3.85673i | −0.643606 | + | 0.540050i | ||||
\(52\) | −1.87939 | + | 0.684040i | −0.260624 | + | 0.0948593i | ||||
\(53\) | −5.63816 | − | 2.05212i | −0.774460 | − | 0.281880i | −0.0755995 | − | 0.997138i | \(-0.524087\pi\) |
−0.698861 | + | 0.715258i | \(0.746309\pi\) | |||||||
\(54\) | 3.83022 | + | 3.21394i | 0.521227 | + | 0.437362i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 4.00000 | 0.534522 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.56283 | + | 8.86327i | −0.203464 | + | 1.15390i | 0.696376 | + | 0.717678i | \(0.254795\pi\) |
−0.899839 | + | 0.436222i | \(0.856316\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.75877 | + | 1.36808i | 0.481261 | + | 0.175165i | 0.571247 | − | 0.820778i | \(-0.306460\pi\) |
−0.0899856 | + | 0.995943i | \(0.528682\pi\) | |||||||
\(62\) | 1.87939 | − | 0.684040i | 0.238682 | − | 0.0868732i | ||||
\(63\) | 6.12836 | − | 5.14230i | 0.772100 | − | 0.647869i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.520945 | − | 2.95442i | −0.0641238 | − | 0.363664i | ||||
\(67\) | −1.21554 | − | 6.89365i | −0.148502 | − | 0.842194i | −0.964489 | − | 0.264124i | \(-0.914917\pi\) |
0.815987 | − | 0.578070i | \(-0.196194\pi\) | |||||||
\(68\) | 3.00000 | − | 5.19615i | 0.363803 | − | 0.630126i | ||||
\(69\) | 3.00000 | + | 5.19615i | 0.361158 | + | 0.625543i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.63816 | − | 2.05212i | 0.669126 | − | 0.243542i | 0.0149545 | − | 0.999888i | \(-0.495240\pi\) |
0.654172 | + | 0.756346i | \(0.273017\pi\) | |||||||
\(72\) | −1.87939 | − | 0.684040i | −0.221488 | − | 0.0806149i | ||||
\(73\) | −0.766044 | − | 0.642788i | −0.0896587 | − | 0.0752326i | 0.596857 | − | 0.802348i | \(-0.296416\pi\) |
−0.686515 | + | 0.727115i | \(0.740861\pi\) | |||||||
\(74\) | 1.73648 | − | 9.84808i | 0.201862 | − | 1.14482i | ||||
\(75\) | −5.00000 | −0.577350 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −12.0000 | −1.36753 | ||||||||
\(78\) | −0.347296 | + | 1.96962i | −0.0393236 | + | 0.223015i | ||||
\(79\) | −3.06418 | − | 2.57115i | −0.344747 | − | 0.289277i | 0.453930 | − | 0.891038i | \(-0.350022\pi\) |
−0.798677 | + | 0.601760i | \(0.794466\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.939693 | + | 0.342020i | −0.104410 | + | 0.0380022i | ||||
\(82\) | −6.89440 | + | 5.78509i | −0.761359 | + | 0.638856i | ||||
\(83\) | −1.50000 | − | 2.59808i | −0.164646 | − | 0.285176i | 0.771883 | − | 0.635764i | \(-0.219315\pi\) |
−0.936530 | + | 0.350588i | \(0.885982\pi\) | |||||||
\(84\) | 2.00000 | − | 3.46410i | 0.218218 | − | 0.377964i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.694593 | + | 3.93923i | 0.0748999 | + | 0.424778i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.50000 | + | 2.59808i | 0.159901 | + | 0.276956i | ||||
\(89\) | 4.59627 | − | 3.85673i | 0.487203 | − | 0.408812i | −0.365819 | − | 0.930686i | \(-0.619211\pi\) |
0.853023 | + | 0.521874i | \(0.174767\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.51754 | + | 2.73616i | 0.788052 | + | 0.286828i | ||||
\(92\) | −4.59627 | − | 3.85673i | −0.479194 | − | 0.402091i | ||||
\(93\) | 0.347296 | − | 1.96962i | 0.0360130 | − | 0.204240i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 2.95202 | − | 16.7417i | 0.299732 | − | 1.69987i | −0.347588 | − | 0.937647i | \(-0.612999\pi\) |
0.647320 | − | 0.762218i | \(-0.275890\pi\) | |||||||
\(98\) | −6.89440 | − | 5.78509i | −0.696440 | − | 0.584382i | ||||
\(99\) | 5.63816 | + | 2.05212i | 0.566656 | + | 0.206246i | ||||
\(100\) | 4.69846 | − | 1.71010i | 0.469846 | − | 0.171010i | ||||
\(101\) | 0 | 0 | −0.642788 | − | 0.766044i | \(-0.722222\pi\) | ||||
0.642788 | + | 0.766044i | \(0.277778\pi\) | |||||||
\(102\) | −3.00000 | − | 5.19615i | −0.297044 | − | 0.514496i | ||||
\(103\) | −1.00000 | + | 1.73205i | −0.0985329 | + | 0.170664i | −0.911078 | − | 0.412235i | \(-0.864748\pi\) |
0.812545 | + | 0.582899i | \(0.198082\pi\) | |||||||
\(104\) | −0.347296 | − | 1.96962i | −0.0340552 | − | 0.193137i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.00000 | − | 5.19615i | 0.291386 | − | 0.504695i | ||||
\(107\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(108\) | −3.83022 | + | 3.21394i | −0.368563 | + | 0.309261i | ||||
\(109\) | 15.0351 | − | 5.47232i | 1.44010 | − | 0.524153i | 0.500292 | − | 0.865857i | \(-0.333226\pi\) |
0.939808 | + | 0.341703i | \(0.111004\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.66044 | − | 6.42788i | −0.727097 | − | 0.610107i | ||||
\(112\) | −0.694593 | + | 3.93923i | −0.0656328 | + | 0.372222i | ||||
\(113\) | 15.0000 | 1.41108 | 0.705541 | − | 0.708669i | \(-0.250704\pi\) | ||||
0.705541 | + | 0.708669i | \(0.250704\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.06418 | − | 2.57115i | −0.283283 | − | 0.237703i | ||||
\(118\) | −8.45723 | − | 3.07818i | −0.778551 | − | 0.283370i | ||||
\(119\) | −22.5526 | + | 8.20848i | −2.06740 | + | 0.752470i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | + | 1.73205i | 0.0909091 | + | 0.157459i | ||||
\(122\) | −2.00000 | + | 3.46410i | −0.181071 | + | 0.313625i | ||||
\(123\) | 1.56283 | + | 8.86327i | 0.140916 | + | 0.799174i | ||||
\(124\) | 0.347296 | + | 1.96962i | 0.0311881 | + | 0.176877i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 4.00000 | + | 6.92820i | 0.356348 | + | 0.617213i | ||||
\(127\) | 1.53209 | − | 1.28558i | 0.135951 | − | 0.114076i | −0.572276 | − | 0.820061i | \(-0.693940\pi\) |
0.708227 | + | 0.705984i | \(0.249495\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 3.75877 | + | 1.36808i | 0.330941 | + | 0.120453i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.56283 | − | 8.86327i | 0.136545 | − | 0.774387i | −0.837226 | − | 0.546858i | \(-0.815824\pi\) |
0.973771 | − | 0.227530i | \(-0.0730650\pi\) | |||||||
\(132\) | 3.00000 | 0.261116 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 7.00000 | 0.604708 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.59627 | + | 3.85673i | 0.394127 | + | 0.330711i | ||||
\(137\) | −8.45723 | − | 3.07818i | −0.722550 | − | 0.262987i | −0.0455422 | − | 0.998962i | \(-0.514502\pi\) |
−0.677008 | + | 0.735976i | \(0.736724\pi\) | |||||||
\(138\) | −5.63816 | + | 2.05212i | −0.479952 | + | 0.174688i | ||||
\(139\) | 8.42649 | − | 7.07066i | 0.714725 | − | 0.599726i | −0.211195 | − | 0.977444i | \(-0.567736\pi\) |
0.925921 | + | 0.377718i | \(0.123291\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.04189 | + | 5.90885i | 0.0874334 | + | 0.495859i | ||||
\(143\) | 1.04189 | + | 5.90885i | 0.0871271 | + | 0.494123i | ||||
\(144\) | 1.00000 | − | 1.73205i | 0.0833333 | − | 0.144338i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.766044 | − | 0.642788i | 0.0633983 | − | 0.0531975i | ||||
\(147\) | −8.45723 | + | 3.07818i | −0.697541 | + | 0.253884i | ||||
\(148\) | 9.39693 | + | 3.42020i | 0.772423 | + | 0.281139i | ||||
\(149\) | 13.7888 | + | 11.5702i | 1.12962 | + | 0.947866i | 0.999050 | − | 0.0435730i | \(-0.0138741\pi\) |
0.130572 | + | 0.991439i | \(0.458319\pi\) | |||||||
\(150\) | 0.868241 | − | 4.92404i | 0.0708916 | − | 0.402046i | ||||
\(151\) | −10.0000 | −0.813788 | −0.406894 | − | 0.913475i | \(-0.633388\pi\) | ||||
−0.406894 | + | 0.913475i | \(0.633388\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 12.0000 | 0.970143 | ||||||||
\(154\) | 2.08378 | − | 11.8177i | 0.167916 | − | 0.952297i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.87939 | − | 0.684040i | −0.150471 | − | 0.0547671i | ||||
\(157\) | 15.0351 | − | 5.47232i | 1.19993 | − | 0.436739i | 0.336730 | − | 0.941601i | \(-0.390679\pi\) |
0.863200 | + | 0.504862i | \(0.168457\pi\) | |||||||
\(158\) | 3.06418 | − | 2.57115i | 0.243773 | − | 0.204550i | ||||
\(159\) | −3.00000 | − | 5.19615i | −0.237915 | − | 0.412082i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.16756 | + | 23.6354i | 0.328449 | + | 1.86273i | ||||
\(162\) | −0.173648 | − | 0.984808i | −0.0136431 | − | 0.0773738i | ||||
\(163\) | 9.50000 | − | 16.4545i | 0.744097 | − | 1.28881i | −0.206518 | − | 0.978443i | \(-0.566213\pi\) |
0.950615 | − | 0.310372i | \(-0.100454\pi\) | |||||||
\(164\) | −4.50000 | − | 7.79423i | −0.351391 | − | 0.608627i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.81908 | − | 1.02606i | 0.218803 | − | 0.0796377i | ||||
\(167\) | 22.5526 | + | 8.20848i | 1.74517 | + | 0.635192i | 0.999515 | − | 0.0311360i | \(-0.00991250\pi\) |
0.745659 | + | 0.666328i | \(0.232135\pi\) | |||||||
\(168\) | 3.06418 | + | 2.57115i | 0.236406 | + | 0.198369i | ||||
\(169\) | −1.56283 | + | 8.86327i | −0.120218 | + | 0.681790i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.00000 | −0.304997 | ||||||||
\(173\) | 1.04189 | − | 5.90885i | 0.0792134 | − | 0.449241i | −0.919243 | − | 0.393692i | \(-0.871198\pi\) |
0.998456 | − | 0.0555496i | \(-0.0176911\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −18.7939 | − | 6.84040i | −1.42068 | − | 0.517086i | ||||
\(176\) | −2.81908 | + | 1.02606i | −0.212496 | + | 0.0773422i | ||||
\(177\) | −6.89440 | + | 5.78509i | −0.518215 | + | 0.434834i | ||||
\(178\) | 3.00000 | + | 5.19615i | 0.224860 | + | 0.389468i | ||||
\(179\) | −4.50000 | + | 7.79423i | −0.336346 | + | 0.582568i | −0.983742 | − | 0.179585i | \(-0.942524\pi\) |
0.647397 | + | 0.762153i | \(0.275858\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.347296 | + | 1.96962i | 0.0258143 | + | 0.146400i | 0.994991 | − | 0.0999676i | \(-0.0318739\pi\) |
−0.969176 | + | 0.246368i | \(0.920763\pi\) | |||||||
\(182\) | −4.00000 | + | 6.92820i | −0.296500 | + | 0.513553i | ||||
\(183\) | 2.00000 | + | 3.46410i | 0.147844 | + | 0.256074i | ||||
\(184\) | 4.59627 | − | 3.85673i | 0.338841 | − | 0.284322i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 1.87939 | + | 0.684040i | 0.137803 | + | 0.0501563i | ||||
\(187\) | −13.7888 | − | 11.5702i | −1.00834 | − | 0.846095i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 20.0000 | 1.45479 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | 0.173648 | − | 0.984808i | 0.0125320 | − | 0.0710724i | ||||
\(193\) | 1.53209 | + | 1.28558i | 0.110282 | + | 0.0925377i | 0.696261 | − | 0.717788i | \(-0.254845\pi\) |
−0.585979 | + | 0.810326i | \(0.699290\pi\) | |||||||
\(194\) | 15.9748 | + | 5.81434i | 1.14692 | + | 0.417445i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.89440 | − | 5.78509i | 0.492457 | − | 0.413221i | ||||
\(197\) | −9.00000 | − | 15.5885i | −0.641223 | − | 1.11063i | −0.985160 | − | 0.171639i | \(-0.945094\pi\) |
0.343937 | − | 0.938993i | \(-0.388239\pi\) | |||||||
\(198\) | −3.00000 | + | 5.19615i | −0.213201 | + | 0.369274i | ||||
\(199\) | −1.73648 | − | 9.84808i | −0.123096 | − | 0.698112i | −0.982421 | − | 0.186681i | \(-0.940227\pi\) |
0.859325 | − | 0.511431i | \(-0.170884\pi\) | |||||||
\(200\) | 0.868241 | + | 4.92404i | 0.0613939 | + | 0.348182i | ||||
\(201\) | 3.50000 | − | 6.06218i | 0.246871 | − | 0.427593i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 5.63816 | − | 2.05212i | 0.394750 | − | 0.143677i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.53209 | − | 1.28558i | −0.106746 | − | 0.0895703i | ||||
\(207\) | 2.08378 | − | 11.8177i | 0.144833 | − | 0.821386i | ||||
\(208\) | 2.00000 | 0.138675 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.47296 | − | 19.6962i | 0.239089 | − | 1.35594i | −0.594741 | − | 0.803917i | \(-0.702745\pi\) |
0.833830 | − | 0.552022i | \(-0.186144\pi\) | |||||||
\(212\) | 4.59627 | + | 3.85673i | 0.315673 | + | 0.264881i | ||||
\(213\) | 5.63816 | + | 2.05212i | 0.386320 | + | 0.140609i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.50000 | − | 4.33013i | −0.170103 | − | 0.294628i | ||||
\(217\) | 4.00000 | − | 6.92820i | 0.271538 | − | 0.470317i | ||||
\(218\) | 2.77837 | + | 15.7569i | 0.188175 | + | 1.06719i | ||||
\(219\) | −0.173648 | − | 0.984808i | −0.0117341 | − | 0.0665471i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.00000 | + | 10.3923i | 0.403604 | + | 0.699062i | ||||
\(222\) | 7.66044 | − | 6.42788i | 0.514135 | − | 0.431411i | ||||
\(223\) | −13.1557 | + | 4.78828i | −0.880971 | + | 0.320647i | −0.742601 | − | 0.669734i | \(-0.766408\pi\) |
−0.138369 | + | 0.990381i | \(0.544186\pi\) | |||||||
\(224\) | −3.75877 | − | 1.36808i | −0.251143 | − | 0.0914087i | ||||
\(225\) | 7.66044 | + | 6.42788i | 0.510696 | + | 0.428525i | ||||
\(226\) | −2.60472 | + | 14.7721i | −0.173264 | + | 0.982627i | ||||
\(227\) | 3.00000 | 0.199117 | 0.0995585 | − | 0.995032i | \(-0.468257\pi\) | ||||
0.0995585 | + | 0.995032i | \(0.468257\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −16.0000 | −1.05731 | −0.528655 | − | 0.848837i | \(-0.677303\pi\) | ||||
−0.528655 | + | 0.848837i | \(0.677303\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.19253 | − | 7.71345i | −0.604824 | − | 0.507508i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.81908 | + | 1.02606i | −0.184684 | + | 0.0672195i | −0.432707 | − | 0.901535i | \(-0.642441\pi\) |
0.248023 | + | 0.968754i | \(0.420219\pi\) | |||||||
\(234\) | 3.06418 | − | 2.57115i | 0.200312 | − | 0.168081i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 4.50000 | − | 7.79423i | 0.292925 | − | 0.507361i | ||||
\(237\) | −0.694593 | − | 3.93923i | −0.0451186 | − | 0.255881i | ||||
\(238\) | −4.16756 | − | 23.6354i | −0.270143 | − | 1.53205i | ||||
\(239\) | 6.00000 | − | 10.3923i | 0.388108 | − | 0.672222i | −0.604087 | − | 0.796918i | \(-0.706462\pi\) |
0.992195 | + | 0.124696i | \(0.0397955\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.83022 | − | 3.21394i | 0.246726 | − | 0.207028i | −0.511035 | − | 0.859560i | \(-0.670738\pi\) |
0.757761 | + | 0.652532i | \(0.226293\pi\) | |||||||
\(242\) | −1.87939 | + | 0.684040i | −0.120811 | + | 0.0439718i | ||||
\(243\) | −15.0351 | − | 5.47232i | −0.964501 | − | 0.351050i | ||||
\(244\) | −3.06418 | − | 2.57115i | −0.196164 | − | 0.164601i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −9.00000 | −0.573819 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −2.00000 | −0.127000 | ||||||||
\(249\) | 0.520945 | − | 2.95442i | 0.0330135 | − | 0.187229i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.81908 | + | 1.02606i | 0.177939 | + | 0.0647644i | 0.429453 | − | 0.903089i | \(-0.358706\pi\) |
−0.251514 | + | 0.967854i | \(0.580929\pi\) | |||||||
\(252\) | −7.51754 | + | 2.73616i | −0.473561 | + | 0.172362i | ||||
\(253\) | −13.7888 | + | 11.5702i | −0.866894 | + | 0.727411i | ||||
\(254\) | 1.00000 | + | 1.73205i | 0.0627456 | + | 0.108679i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 0.520945 | + | 2.95442i | 0.0324956 | + | 0.184292i | 0.996735 | − | 0.0807404i | \(-0.0257285\pi\) |
−0.964240 | + | 0.265032i | \(0.914617\pi\) | |||||||
\(258\) | −2.00000 | + | 3.46410i | −0.124515 | + | 0.215666i | ||||
\(259\) | −20.0000 | − | 34.6410i | −1.24274 | − | 2.15249i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.45723 | + | 3.07818i | 0.522490 | + | 0.190171i | ||||
\(263\) | −9.19253 | − | 7.71345i | −0.566836 | − | 0.475632i | 0.313758 | − | 0.949503i | \(-0.398412\pi\) |
−0.880594 | + | 0.473871i | \(0.842856\pi\) | |||||||
\(264\) | −0.520945 | + | 2.95442i | −0.0320619 | + | 0.181832i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.00000 | 0.367194 | ||||||||
\(268\) | −1.21554 | + | 6.89365i | −0.0742508 | + | 0.421097i | ||||
\(269\) | 9.19253 | + | 7.71345i | 0.560479 | + | 0.470297i | 0.878471 | − | 0.477796i | \(-0.158564\pi\) |
−0.317992 | + | 0.948093i | \(0.603009\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.0351 | − | 5.47232i | 0.913316 | − | 0.332420i | 0.157740 | − | 0.987481i | \(-0.449579\pi\) |
0.755576 | + | 0.655061i | \(0.227357\pi\) | |||||||
\(272\) | −4.59627 | + | 3.85673i | −0.278690 | + | 0.233848i | ||||
\(273\) | 4.00000 | + | 6.92820i | 0.242091 | + | 0.419314i | ||||
\(274\) | 4.50000 | − | 7.79423i | 0.271855 | − | 0.470867i | ||||
\(275\) | −2.60472 | − | 14.7721i | −0.157071 | − | 0.890792i | ||||
\(276\) | −1.04189 | − | 5.90885i | −0.0627144 | − | 0.355671i | ||||
\(277\) | −4.00000 | + | 6.92820i | −0.240337 | + | 0.416275i | −0.960810 | − | 0.277207i | \(-0.910591\pi\) |
0.720473 | + | 0.693482i | \(0.243925\pi\) | |||||||
\(278\) | 5.50000 | + | 9.52628i | 0.329868 | + | 0.571348i | ||||
\(279\) | −3.06418 | + | 2.57115i | −0.183448 | + | 0.153931i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −25.3717 | − | 9.23454i | −1.51355 | − | 0.550887i | −0.554021 | − | 0.832502i | \(-0.686907\pi\) |
−0.959527 | + | 0.281616i | \(0.909130\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.868241 | − | 4.92404i | 0.0516116 | − | 0.292704i | −0.948067 | − | 0.318072i | \(-0.896965\pi\) |
0.999678 | + | 0.0253681i | \(0.00807579\pi\) | |||||||
\(284\) | −6.00000 | −0.356034 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | −0.354787 | ||||||||
\(287\) | −6.25133 | + | 35.4531i | −0.369005 | + | 2.09273i | ||||
\(288\) | 1.53209 | + | 1.28558i | 0.0902792 | + | 0.0757532i | ||||
\(289\) | −17.8542 | − | 6.49838i | −1.05024 | − | 0.382258i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.0228 | − | 10.9274i | 0.763407 | − | 0.640575i | ||||
\(292\) | 0.500000 | + | 0.866025i | 0.0292603 | + | 0.0506803i | ||||
\(293\) | −12.0000 | + | 20.7846i | −0.701047 | + | 1.21425i | 0.267052 | + | 0.963682i | \(0.413951\pi\) |
−0.968099 | + | 0.250568i | \(0.919383\pi\) | |||||||
\(294\) | −1.56283 | − | 8.86327i | −0.0911463 | − | 0.516916i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −5.00000 | + | 8.66025i | −0.290619 | + | 0.503367i | ||||
\(297\) | 7.50000 | + | 12.9904i | 0.435194 | + | 0.753778i | ||||
\(298\) | −13.7888 | + | 11.5702i | −0.798764 | + | 0.670242i | ||||
\(299\) | 11.2763 | − | 4.10424i | 0.652126 | − | 0.237354i | ||||
\(300\) | 4.69846 | + | 1.71010i | 0.271266 | + | 0.0987327i | ||||
\(301\) | 12.2567 | + | 10.2846i | 0.706465 | + | 0.592795i | ||||
\(302\) | 1.73648 | − | 9.84808i | 0.0999233 | − | 0.566693i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −2.08378 | + | 11.8177i | −0.119122 | + | 0.675573i | ||||
\(307\) | −5.36231 | − | 4.49951i | −0.306043 | − | 0.256801i | 0.476811 | − | 0.879006i | \(-0.341793\pi\) |
−0.782854 | + | 0.622205i | \(0.786237\pi\) | |||||||
\(308\) | 11.2763 | + | 4.10424i | 0.642527 | + | 0.233861i | ||||
\(309\) | −1.87939 | + | 0.684040i | −0.106914 | + | 0.0389137i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 15.0000 | + | 25.9808i | 0.850572 | + | 1.47323i | 0.880693 | + | 0.473688i | \(0.157077\pi\) |
−0.0301210 | + | 0.999546i | \(0.509589\pi\) | |||||||
\(312\) | 1.00000 | − | 1.73205i | 0.0566139 | − | 0.0980581i | ||||
\(313\) | −3.29932 | − | 18.7113i | −0.186488 | − | 1.05763i | −0.924028 | − | 0.382324i | \(-0.875124\pi\) |
0.737540 | − | 0.675304i | \(-0.235987\pi\) | |||||||
\(314\) | 2.77837 | + | 15.7569i | 0.156793 | + | 0.889215i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.00000 | + | 3.46410i | 0.112509 | + | 0.194871i | ||||
\(317\) | −13.7888 | + | 11.5702i | −0.774456 | + | 0.649846i | −0.941846 | − | 0.336045i | \(-0.890911\pi\) |
0.167390 | + | 0.985891i | \(0.446466\pi\) | |||||||
\(318\) | 5.63816 | − | 2.05212i | 0.316172 | − | 0.115077i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −24.0000 | −1.33747 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −1.73648 | + | 9.84808i | −0.0963227 | + | 0.546273i | ||||
\(326\) | 14.5548 | + | 12.2130i | 0.806118 | + | 0.676414i | ||||
\(327\) | 15.0351 | + | 5.47232i | 0.831442 | + | 0.302620i | ||||
\(328\) | 8.45723 | − | 3.07818i | 0.466973 | − | 0.169964i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.50000 | + | 4.33013i | −0.137412 | + | 0.238005i | −0.926516 | − | 0.376254i | \(-0.877212\pi\) |
0.789104 | + | 0.614260i | \(0.210545\pi\) | |||||||
\(332\) | 0.520945 | + | 2.95442i | 0.0285905 | + | 0.162145i | ||||
\(333\) | 3.47296 | + | 19.6962i | 0.190317 | + | 1.07934i | ||||
\(334\) | −12.0000 | + | 20.7846i | −0.656611 | + | 1.13728i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −3.06418 | + | 2.57115i | −0.167165 | + | 0.140268i | ||||
\(337\) | −10.3366 | + | 3.76222i | −0.563072 | + | 0.204941i | −0.607845 | − | 0.794056i | \(-0.707966\pi\) |
0.0447732 | + | 0.998997i | \(0.485743\pi\) | |||||||
\(338\) | −8.45723 | − | 3.07818i | −0.460013 | − | 0.167431i | ||||
\(339\) | 11.4907 | + | 9.64181i | 0.624087 | + | 0.523671i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.00000 | 0.324918 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.00000 | −0.431959 | ||||||||
\(344\) | 0.694593 | − | 3.93923i | 0.0374499 | − | 0.212389i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.63816 | + | 2.05212i | 0.303109 | + | 0.110323i | ||||
\(347\) | 8.45723 | − | 3.07818i | 0.454008 | − | 0.165245i | −0.104886 | − | 0.994484i | \(-0.533448\pi\) |
0.558894 | + | 0.829239i | \(0.311226\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.00000 | + | 3.46410i | 0.107058 | + | 0.185429i | 0.914577 | − | 0.404412i | \(-0.132524\pi\) |
−0.807519 | + | 0.589841i | \(0.799190\pi\) | |||||||
\(350\) | 10.0000 | − | 17.3205i | 0.534522 | − | 0.925820i | ||||
\(351\) | −1.73648 | − | 9.84808i | −0.0926865 | − | 0.525651i | ||||
\(352\) | −0.520945 | − | 2.95442i | −0.0277664 | − | 0.157471i | ||||
\(353\) | −1.50000 | + | 2.59808i | −0.0798369 | + | 0.138282i | −0.903179 | − | 0.429263i | \(-0.858773\pi\) |
0.823343 | + | 0.567545i | \(0.192107\pi\) | |||||||
\(354\) | −4.50000 | − | 7.79423i | −0.239172 | − | 0.414259i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −5.63816 | + | 2.05212i | −0.298822 | + | 0.108762i | ||||
\(357\) | −22.5526 | − | 8.20848i | −1.19361 | − | 0.434439i | ||||
\(358\) | −6.89440 | − | 5.78509i | −0.364380 | − | 0.305751i | ||||
\(359\) | −1.04189 | + | 5.90885i | −0.0549888 | + | 0.311857i | −0.999879 | − | 0.0155292i | \(-0.995057\pi\) |
0.944891 | + | 0.327386i | \(0.106168\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −2.00000 | −0.105118 | ||||||||
\(363\) | −0.347296 | + | 1.96962i | −0.0182283 | + | 0.103378i | ||||
\(364\) | −6.12836 | − | 5.14230i | −0.321213 | − | 0.269530i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −3.75877 | + | 1.36808i | −0.196474 | + | 0.0715107i | ||||
\(367\) | −16.8530 | + | 14.1413i | −0.879718 | + | 0.738171i | −0.966121 | − | 0.258089i | \(-0.916907\pi\) |
0.0864029 | + | 0.996260i | \(0.472463\pi\) | |||||||
\(368\) | 3.00000 | + | 5.19615i | 0.156386 | + | 0.270868i | ||||
\(369\) | 9.00000 | − | 15.5885i | 0.468521 | − | 0.811503i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.16756 | − | 23.6354i | −0.216369 | − | 1.22709i | ||||
\(372\) | −1.00000 | + | 1.73205i | −0.0518476 | + | 0.0898027i | ||||
\(373\) | 2.00000 | + | 3.46410i | 0.103556 | + | 0.179364i | 0.913147 | − | 0.407630i | \(-0.133645\pi\) |
−0.809591 | + | 0.586994i | \(0.800311\pi\) | |||||||
\(374\) | 13.7888 | − | 11.5702i | 0.713002 | − | 0.598280i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −3.47296 | + | 19.6962i | −0.178630 | + | 1.01306i | ||||
\(379\) | −28.0000 | −1.43826 | −0.719132 | − | 0.694874i | \(-0.755460\pi\) | ||||
−0.719132 | + | 0.694874i | \(0.755460\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.00000 | 0.102463 | ||||||||
\(382\) | −2.08378 | + | 11.8177i | −0.106615 | + | 0.604646i | ||||
\(383\) | −27.5776 | − | 23.1404i | −1.40915 | − | 1.18242i | −0.956861 | − | 0.290545i | \(-0.906163\pi\) |
−0.452288 | − | 0.891872i | \(-0.649392\pi\) | |||||||
\(384\) | 0.939693 | + | 0.342020i | 0.0479535 | + | 0.0174536i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.53209 | + | 1.28558i | −0.0779813 | + | 0.0654341i | ||||
\(387\) | −4.00000 | − | 6.92820i | −0.203331 | − | 0.352180i | ||||
\(388\) | −8.50000 | + | 14.7224i | −0.431522 | + | 0.747418i | ||||
\(389\) | −6.25133 | − | 35.4531i | −0.316955 | − | 1.79754i | −0.561040 | − | 0.827789i | \(-0.689599\pi\) |
0.244085 | − | 0.969754i | \(-0.421512\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.0000 | + | 31.1769i | −0.910299 | + | 1.57668i | ||||
\(392\) | 4.50000 | + | 7.79423i | 0.227284 | + | 0.393668i | ||||
\(393\) | 6.89440 | − | 5.78509i | 0.347776 | − | 0.291819i | ||||
\(394\) | 16.9145 | − | 6.15636i | 0.852139 | − | 0.310153i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −4.59627 | − | 3.85673i | −0.230971 | − | 0.193808i | ||||
\(397\) | −1.73648 | + | 9.84808i | −0.0871515 | + | 0.494261i | 0.909720 | + | 0.415222i | \(0.136296\pi\) |
−0.996872 | + | 0.0790387i | \(0.974815\pi\) | |||||||
\(398\) | 10.0000 | 0.501255 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | −0.250000 | ||||||||
\(401\) | −4.68850 | + | 26.5898i | −0.234133 | + | 1.32783i | 0.610300 | + | 0.792170i | \(0.291049\pi\) |
−0.844433 | + | 0.535662i | \(0.820062\pi\) | |||||||
\(402\) | 5.36231 | + | 4.49951i | 0.267448 | + | 0.224415i | ||||
\(403\) | −3.75877 | − | 1.36808i | −0.187238 | − | 0.0681489i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 15.0000 | − | 25.9808i | 0.743522 | − | 1.28782i | ||||
\(408\) | 1.04189 | + | 5.90885i | 0.0515812 | + | 0.292531i | ||||
\(409\) | 0.868241 | + | 4.92404i | 0.0429317 | + | 0.243478i | 0.998720 | − | 0.0505773i | \(-0.0161061\pi\) |
−0.955788 | + | 0.294055i | \(0.904995\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −4.50000 | − | 7.79423i | −0.221969 | − | 0.384461i | ||||
\(412\) | 1.53209 | − | 1.28558i | 0.0754806 | − | 0.0633357i | ||||
\(413\) | −33.8289 | + | 12.3127i | −1.66461 | + | 0.605870i | ||||
\(414\) | 11.2763 | + | 4.10424i | 0.554200 | + | 0.201712i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.347296 | + | 1.96962i | −0.0170276 | + | 0.0965683i | ||||
\(417\) | 11.0000 | 0.538672 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.66044 | − | 6.42788i | −0.373347 | − | 0.313276i | 0.436737 | − | 0.899589i | \(-0.356134\pi\) |
−0.810084 | + | 0.586314i | \(0.800579\pi\) | |||||||
\(422\) | 18.7939 | + | 6.84040i | 0.914870 | + | 0.332986i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.59627 | + | 3.85673i | −0.223214 | + | 0.187299i | ||||
\(425\) | −15.0000 | − | 25.9808i | −0.727607 | − | 1.26025i | ||||
\(426\) | −3.00000 | + | 5.19615i | −0.145350 | + | 0.251754i | ||||
\(427\) | 2.77837 | + | 15.7569i | 0.134455 | + | 0.762531i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.00000 | + | 5.19615i | −0.144841 | + | 0.250873i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −22.9813 | + | 19.2836i | −1.10697 | + | 0.928860i | −0.997874 | − | 0.0651713i | \(-0.979241\pi\) |
−0.109098 | + | 0.994031i | \(0.534796\pi\) | |||||||
\(432\) | 4.69846 | − | 1.71010i | 0.226055 | − | 0.0822773i | ||||
\(433\) | −24.4320 | − | 8.89252i | −1.17413 | − | 0.427347i | −0.320003 | − | 0.947416i | \(-0.603684\pi\) |
−0.854124 | + | 0.520069i | \(0.825906\pi\) | |||||||
\(434\) | 6.12836 | + | 5.14230i | 0.294170 | + | 0.246838i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −16.0000 | −0.766261 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.00000 | 0.0477818 | ||||||||
\(439\) | 2.43107 | − | 13.7873i | 0.116029 | − | 0.658032i | −0.870207 | − | 0.492687i | \(-0.836015\pi\) |
0.986236 | − | 0.165346i | \(-0.0528740\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 16.9145 | + | 6.15636i | 0.805451 | + | 0.293160i | ||||
\(442\) | −11.2763 | + | 4.10424i | −0.536359 | + | 0.195219i | ||||
\(443\) | 6.89440 | − | 5.78509i | 0.327563 | − | 0.274858i | −0.464143 | − | 0.885760i | \(-0.653638\pi\) |
0.791706 | + | 0.610902i | \(0.209193\pi\) | |||||||
\(444\) | 5.00000 | + | 8.66025i | 0.237289 | + | 0.410997i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −2.43107 | − | 13.7873i | −0.115115 | − | 0.652848i | ||||
\(447\) | 3.12567 | + | 17.7265i | 0.147839 | + | 0.838437i | ||||
\(448\) | 2.00000 | − | 3.46410i | 0.0944911 | − | 0.163663i | ||||
\(449\) | −4.50000 | − | 7.79423i | −0.212368 | − | 0.367832i | 0.740087 | − | 0.672511i | \(-0.234784\pi\) |
−0.952455 | + | 0.304679i | \(0.901451\pi\) | |||||||
\(450\) | −7.66044 | + | 6.42788i | −0.361117 | + | 0.303013i | ||||
\(451\) | −25.3717 | + | 9.23454i | −1.19471 | + | 0.434838i | ||||
\(452\) | −14.0954 | − | 5.13030i | −0.662991 | − | 0.241309i | ||||
\(453\) | −7.66044 | − | 6.42788i | −0.359919 | − | 0.302008i | ||||
\(454\) | −0.520945 | + | 2.95442i | −0.0244491 | + | 0.138658i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.00000 | 0.233890 | 0.116945 | − | 0.993138i | \(-0.462690\pi\) | ||||
0.116945 | + | 0.993138i | \(0.462690\pi\) | |||||||
\(458\) | 2.77837 | − | 15.7569i | 0.129825 | − | 0.736273i | ||||
\(459\) | 22.9813 | + | 19.2836i | 1.07268 | + | 0.900083i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.63816 | + | 2.05212i | −0.262595 | + | 0.0955768i | −0.469963 | − | 0.882686i | \(-0.655733\pi\) |
0.207368 | + | 0.978263i | \(0.433510\pi\) | |||||||
\(462\) | 9.19253 | − | 7.71345i | 0.427675 | − | 0.358862i | ||||
\(463\) | 17.0000 | + | 29.4449i | 0.790057 | + | 1.36842i | 0.925931 | + | 0.377693i | \(0.123282\pi\) |
−0.135874 | + | 0.990726i | \(0.543384\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.520945 | − | 2.95442i | −0.0241323 | − | 0.136861i | ||||
\(467\) | 13.5000 | − | 23.3827i | 0.624705 | − | 1.08202i | −0.363892 | − | 0.931441i | \(-0.618552\pi\) |
0.988598 | − | 0.150581i | \(-0.0481143\pi\) | |||||||
\(468\) | 2.00000 | + | 3.46410i | 0.0924500 | + | 0.160128i | ||||
\(469\) | 21.4492 | − | 17.9981i | 0.990434 | − | 0.831073i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 15.0351 | + | 5.47232i | 0.692780 | + | 0.252151i | ||||
\(472\) | 6.89440 | + | 5.78509i | 0.317340 | + | 0.266280i | ||||
\(473\) | −2.08378 | + | 11.8177i | −0.0958122 | + | 0.543378i | ||||
\(474\) | 4.00000 | 0.183726 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 24.0000 | 1.10004 | ||||||||
\(477\) | −2.08378 | + | 11.8177i | −0.0954096 | + | 0.541095i | ||||
\(478\) | 9.19253 | + | 7.71345i | 0.420457 | + | 0.352805i | ||||
\(479\) | −33.8289 | − | 12.3127i | −1.54568 | − | 0.562583i | −0.578283 | − | 0.815836i | \(-0.696277\pi\) |
−0.967400 | + | 0.253253i | \(0.918499\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.3209 | + | 12.8558i | −0.698572 | + | 0.586172i | ||||
\(482\) | 2.50000 | + | 4.33013i | 0.113872 | + | 0.197232i | ||||
\(483\) | −12.0000 | + | 20.7846i | −0.546019 | + | 0.945732i | ||||
\(484\) | −0.347296 | − | 1.96962i | −0.0157862 | − | 0.0895280i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 8.00000 | − | 13.8564i | 0.362887 | − | 0.628539i | ||||
\(487\) | −1.00000 | − | 1.73205i | −0.0453143 | − | 0.0784867i | 0.842479 | − | 0.538730i | \(-0.181096\pi\) |
−0.887793 | + | 0.460243i | \(0.847762\pi\) | |||||||
\(488\) | 3.06418 | − | 2.57115i | 0.138709 | − | 0.116391i | ||||
\(489\) | 17.8542 | − | 6.49838i | 0.807393 | − | 0.293867i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | 0.642788 | − | 0.766044i | \(-0.277778\pi\) | ||||
−0.642788 | + | 0.766044i | \(0.722222\pi\) | |||||||
\(492\) | 1.56283 | − | 8.86327i | 0.0704580 | − | 0.399587i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.347296 | − | 1.96962i | 0.0155941 | − | 0.0884383i | ||||
\(497\) | 18.3851 | + | 15.4269i | 0.824683 | + | 0.691991i | ||||
\(498\) | 2.81908 | + | 1.02606i | 0.126326 | + | 0.0459789i | ||||
\(499\) | 23.4923 | − | 8.55050i | 1.05166 | − | 0.382773i | 0.242371 | − | 0.970184i | \(-0.422075\pi\) |
0.809289 | + | 0.587410i | \(0.199853\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.0000 | + | 20.7846i | 0.536120 | + | 0.928588i | ||||
\(502\) | −1.50000 | + | 2.59808i | −0.0669483 | + | 0.115958i | ||||
\(503\) | 1.04189 | + | 5.90885i | 0.0464555 | + | 0.263462i | 0.999185 | − | 0.0403564i | \(-0.0128493\pi\) |
−0.952730 | + | 0.303819i | \(0.901738\pi\) | |||||||
\(504\) | −1.38919 | − | 7.87846i | −0.0618792 | − | 0.350935i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.00000 | − | 15.5885i | −0.400099 | − | 0.692991i | ||||
\(507\) | −6.89440 | + | 5.78509i | −0.306191 | + | 0.256925i | ||||
\(508\) | −1.87939 | + | 0.684040i | −0.0833842 | + | 0.0303494i | ||||
\(509\) | 22.5526 | + | 8.20848i | 0.999627 | + | 0.363835i | 0.789441 | − | 0.613827i | \(-0.210371\pi\) |
0.210187 | + | 0.977661i | \(0.432593\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.694593 | − | 3.93923i | 0.0307270 | − | 0.174261i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.00000 | −0.132324 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.06418 | − | 2.57115i | −0.134893 | − | 0.113189i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 37.5877 | − | 13.6808i | 1.65151 | − | 0.601100i | ||||
\(519\) | 4.59627 | − | 3.85673i | 0.201754 | − | 0.169291i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.50000 | + | 7.79423i | −0.197149 | + | 0.341471i | −0.947603 | − | 0.319451i | \(-0.896501\pi\) |
0.750454 | + | 0.660922i | \(0.229835\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.86215 | − | 27.5746i | −0.212607 | − | 1.20575i | −0.885011 | − | 0.465570i | \(-0.845849\pi\) |
0.672404 | − | 0.740184i | \(-0.265262\pi\) | |||||||
\(524\) | −4.50000 | + | 7.79423i | −0.196583 | + | 0.340492i | ||||
\(525\) | −10.0000 | − | 17.3205i | −0.436436 | − | 0.755929i | ||||
\(526\) | 9.19253 | − | 7.71345i | 0.400813 | − | 0.336322i | ||||
\(527\) | 11.2763 | − | 4.10424i | 0.491204 | − | 0.178784i | ||||
\(528\) | −2.81908 | − | 1.02606i | −0.122685 | − | 0.0446535i | ||||
\(529\) | 9.95858 | + | 8.35624i | 0.432982 | + | 0.363315i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.0000 | 0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 18.0000 | 0.779667 | ||||||||
\(534\) | −1.04189 | + | 5.90885i | −0.0450869 | + | 0.255701i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −6.57785 | − | 2.39414i | −0.284120 | − | 0.103411i | ||||
\(537\) | −8.45723 | + | 3.07818i | −0.364957 | + | 0.132833i | ||||
\(538\) | −9.19253 | + | 7.71345i | −0.396318 | + | 0.332550i | ||||
\(539\) | −13.5000 | − | 23.3827i | −0.581486 | − | 1.00716i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.64052 | + | 43.3315i | 0.328492 | + | 1.86297i | 0.483907 | + | 0.875119i | \(0.339217\pi\) |
−0.155416 | + | 0.987849i | \(0.549672\pi\) | |||||||
\(542\) | 2.77837 | + | 15.7569i | 0.119341 | + | 0.676818i | ||||
\(543\) | −1.00000 | + | 1.73205i | −0.0429141 | + | 0.0743294i | ||||
\(544\) | −3.00000 | − | 5.19615i | −0.128624 | − | 0.222783i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −7.51754 | + | 2.73616i | −0.321721 | + | 0.117097i | ||||
\(547\) | 3.75877 | + | 1.36808i | 0.160713 | + | 0.0584949i | 0.421124 | − | 0.907003i | \(-0.361636\pi\) |
−0.260411 | + | 0.965498i | \(0.583858\pi\) | |||||||
\(548\) | 6.89440 | + | 5.78509i | 0.294514 | + | 0.247127i | ||||
\(549\) | 1.38919 | − | 7.87846i | 0.0592890 | − | 0.336245i | ||||
\(550\) | 15.0000 | 0.639602 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 6.00000 | 0.255377 | ||||||||
\(553\) | 2.77837 | − | 15.7569i | 0.118148 | − | 0.670053i | ||||
\(554\) | −6.12836 | − | 5.14230i | −0.260369 | − | 0.218475i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.3366 | + | 3.76222i | −0.438370 | + | 0.159554i | ||||
\(557\) | 18.3851 | − | 15.4269i | 0.779000 | − | 0.653659i | −0.163996 | − | 0.986461i | \(-0.552439\pi\) |
0.942997 | + | 0.332802i | \(0.107994\pi\) | |||||||
\(558\) | −2.00000 | − | 3.46410i | −0.0846668 | − | 0.146647i | ||||
\(559\) | 4.00000 | − | 6.92820i | 0.169182 | − | 0.293032i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.12567 | − | 17.7265i | −0.131966 | − | 0.748415i | ||||
\(562\) | 13.5000 | − | 23.3827i | 0.569463 | − | 0.986339i | ||||
\(563\) | 10.5000 | + | 18.1865i | 0.442522 | + | 0.766471i | 0.997876 | − | 0.0651433i | \(-0.0207504\pi\) |
−0.555354 | + | 0.831614i | \(0.687417\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 4.69846 | + | 1.71010i | 0.197491 | + | 0.0718809i | ||||
\(567\) | −3.06418 | − | 2.57115i | −0.128683 | − | 0.107978i | ||||
\(568\) | 1.04189 | − | 5.90885i | 0.0437167 | − | 0.247930i | ||||
\(569\) | −6.00000 | −0.251533 | −0.125767 | − | 0.992060i | \(-0.540139\pi\) | ||||
−0.125767 | + | 0.992060i | \(0.540139\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.00000 | −0.292941 | −0.146470 | − | 0.989215i | \(-0.546791\pi\) | ||||
−0.146470 | + | 0.989215i | \(0.546791\pi\) | |||||||
\(572\) | 1.04189 | − | 5.90885i | 0.0435636 | − | 0.247061i | ||||
\(573\) | 9.19253 | + | 7.71345i | 0.384024 | + | 0.322234i | ||||
\(574\) | −33.8289 | − | 12.3127i | −1.41199 | − | 0.513923i | ||||
\(575\) | −28.1908 | + | 10.2606i | −1.17564 | + | 0.427897i | ||||
\(576\) | −1.53209 | + | 1.28558i | −0.0638370 | + | 0.0535656i | ||||
\(577\) | −5.50000 | − | 9.52628i | −0.228968 | − | 0.396584i | 0.728535 | − | 0.685009i | \(-0.240202\pi\) |
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | 9.50000 | − | 16.4545i | 0.395148 | − | 0.684416i | ||||
\(579\) | 0.347296 | + | 1.96962i | 0.0144331 | + | 0.0818544i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.00000 | − | 10.3923i | 0.248922 | − | 0.431145i | ||||
\(582\) | 8.50000 | + | 14.7224i | 0.352336 | + | 0.610264i | ||||
\(583\) | 13.7888 | − | 11.5702i | 0.571074 | − | 0.479188i | ||||
\(584\) | −0.939693 | + | 0.342020i | −0.0388848 | + | 0.0141529i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −18.3851 | − | 15.4269i | −0.759480 | − | 0.637279i | ||||
\(587\) | −2.08378 | + | 11.8177i | −0.0860067 | + | 0.487768i | 0.911128 | + | 0.412123i | \(0.135213\pi\) |
−0.997135 | + | 0.0756451i | \(0.975898\pi\) | |||||||
\(588\) | 9.00000 | 0.371154 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.12567 | − | 17.7265i | 0.128573 | − | 0.729172i | ||||
\(592\) | −7.66044 | − | 6.42788i | −0.314842 | − | 0.264184i | ||||
\(593\) | 19.7335 | + | 7.18242i | 0.810360 | + | 0.294947i | 0.713772 | − | 0.700378i | \(-0.246985\pi\) |
0.0965872 | + | 0.995325i | \(0.469207\pi\) | |||||||
\(594\) | −14.0954 | + | 5.13030i | −0.578341 | + | 0.210499i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −9.00000 | − | 15.5885i | −0.368654 | − | 0.638528i | ||||
\(597\) | 5.00000 | − | 8.66025i | 0.204636 | − | 0.354441i | ||||
\(598\) | 2.08378 | + | 11.8177i | 0.0852120 | + | 0.483261i | ||||
\(599\) | −1.04189 | − | 5.90885i | −0.0425704 | − | 0.241429i | 0.956096 | − | 0.293053i | \(-0.0946713\pi\) |
−0.998667 | + | 0.0516242i | \(0.983560\pi\) | |||||||
\(600\) | −2.50000 | + | 4.33013i | −0.102062 | + | 0.176777i | ||||
\(601\) | 6.50000 | + | 11.2583i | 0.265141 | + | 0.459237i | 0.967600 | − | 0.252486i | \(-0.0812483\pi\) |
−0.702460 | + | 0.711723i | \(0.747915\pi\) | |||||||
\(602\) | −12.2567 | + | 10.2846i | −0.499546 | + | 0.419169i | ||||
\(603\) | −13.1557 | + | 4.78828i | −0.535741 | + | 0.194994i | ||||
\(604\) | 9.39693 | + | 3.42020i | 0.382356 | + | 0.139166i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.0000 | 0.811775 | 0.405887 | − | 0.913923i | \(-0.366962\pi\) | ||||
0.405887 | + | 0.913923i | \(0.366962\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −11.2763 | − | 4.10424i | −0.455818 | − | 0.165904i | ||||
\(613\) | −1.87939 | + | 0.684040i | −0.0759077 | + | 0.0276281i | −0.379695 | − | 0.925112i | \(-0.623971\pi\) |
0.303787 | + | 0.952740i | \(0.401749\pi\) | |||||||
\(614\) | 5.36231 | − | 4.49951i | 0.216405 | − | 0.181586i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.00000 | + | 10.3923i | −0.241747 | + | 0.418718i | ||||
\(617\) | 0.520945 | + | 2.95442i | 0.0209724 | + | 0.118941i | 0.993497 | − | 0.113861i | \(-0.0363218\pi\) |
−0.972524 | + | 0.232802i | \(0.925211\pi\) | |||||||
\(618\) | −0.347296 | − | 1.96962i | −0.0139703 | − | 0.0792296i | ||||
\(619\) | 2.00000 | − | 3.46410i | 0.0803868 | − | 0.139234i | −0.823029 | − | 0.567999i | \(-0.807718\pi\) |
0.903416 | + | 0.428765i | \(0.141051\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 22.9813 | − | 19.2836i | 0.922209 | − | 0.773825i | ||||
\(622\) | −28.1908 | + | 10.2606i | −1.13035 | + | 0.411413i | ||||
\(623\) | 22.5526 | + | 8.20848i | 0.903552 | + | 0.328866i | ||||
\(624\) | 1.53209 | + | 1.28558i | 0.0613326 | + | 0.0514642i | ||||
\(625\) | 4.34120 | − | 24.6202i | 0.173648 | − | 0.984808i | ||||
\(626\) | 19.0000 | 0.759393 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.0000 | −0.638470 | ||||||||
\(629\) | 10.4189 | − | 59.0885i | 0.415428 | − | 2.35601i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.3114 | + | 9.57656i | 1.04744 | + | 0.381237i | 0.807696 | − | 0.589599i | \(-0.200714\pi\) |
0.239744 | + | 0.970836i | \(0.422936\pi\) | |||||||
\(632\) | −3.75877 | + | 1.36808i | −0.149516 | + | 0.0544193i | ||||
\(633\) | 15.3209 | − | 12.8558i | 0.608951 | − | 0.510970i | ||||
\(634\) | −9.00000 | − | 15.5885i | −0.357436 | − | 0.619097i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1.04189 | + | 5.90885i | 0.0413136 | + | 0.234301i | ||||
\(637\) | 3.12567 | + | 17.7265i | 0.123843 | + | 0.702351i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.00000 | − | 10.3923i | −0.237356 | − | 0.411113i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 36.6480 | − | 13.3388i | 1.44751 | − | 0.526850i | 0.505615 | − | 0.862759i | \(-0.331266\pi\) |
0.941894 | + | 0.335909i | \(0.109043\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −32.9399 | − | 27.6399i | −1.29902 | − | 1.09001i | −0.990313 | − | 0.138854i | \(-0.955658\pi\) |
−0.308710 | − | 0.951156i | \(-0.599897\pi\) | |||||||
\(644\) | 4.16756 | − | 23.6354i | 0.164225 | − | 0.931365i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 18.0000 | 0.707653 | 0.353827 | − | 0.935311i | \(-0.384880\pi\) | ||||
0.353827 | + | 0.935311i | \(0.384880\pi\) | |||||||
\(648\) | −0.173648 | + | 0.984808i | −0.00682154 | + | 0.0386869i | ||||
\(649\) | −20.6832 | − | 17.3553i | −0.811887 | − | 0.681254i | ||||
\(650\) | −9.39693 | − | 3.42020i | −0.368578 | − | 0.134151i | ||||
\(651\) | 7.51754 | − | 2.73616i | 0.294636 | − | 0.107239i | ||||
\(652\) | −14.5548 | + | 12.2130i | −0.570012 | + | 0.478297i | ||||
\(653\) | 6.00000 | + | 10.3923i | 0.234798 | + | 0.406682i | 0.959214 | − | 0.282681i | \(-0.0912238\pi\) |
−0.724416 | + | 0.689363i | \(0.757890\pi\) | |||||||
\(654\) | −8.00000 | + | 13.8564i | −0.312825 | + | 0.541828i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.56283 | + | 8.86327i | 0.0610184 | + | 0.346053i | ||||
\(657\) | −1.00000 | + | 1.73205i | −0.0390137 | + | 0.0675737i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 27.5776 | − | 23.1404i | 1.07427 | − | 0.901420i | 0.0788382 | − | 0.996887i | \(-0.474879\pi\) |
0.995433 | + | 0.0954672i | \(0.0304345\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 37.5877 | + | 13.6808i | 1.46199 | + | 0.532122i | 0.945913 | − | 0.324419i | \(-0.105169\pi\) |
0.516079 | + | 0.856541i | \(0.327391\pi\) | |||||||
\(662\) | −3.83022 | − | 3.21394i | −0.148866 | − | 0.124913i | ||||
\(663\) | −2.08378 | + | 11.8177i | −0.0809272 | + | 0.458961i | ||||
\(664\) | −3.00000 | −0.116423 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −20.0000 | −0.774984 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −18.3851 | − | 15.4269i | −0.711340 | − | 0.596885i | ||||
\(669\) | −13.1557 | − | 4.78828i | −0.508629 | − | 0.185126i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.19253 | + | 7.71345i | −0.354874 | + | 0.297774i | ||||
\(672\) | −2.00000 | − | 3.46410i | −0.0771517 | − | 0.133631i | ||||
\(673\) | −7.00000 | + | 12.1244i | −0.269830 | + | 0.467360i | −0.968818 | − | 0.247774i | \(-0.920301\pi\) |
0.698988 | + | 0.715134i | \(0.253634\pi\) | |||||||
\(674\) | −1.91013 | − | 10.8329i | −0.0735755 | − | 0.417267i | ||||
\(675\) | 4.34120 | + | 24.6202i | 0.167093 | + | 0.947632i | ||||
\(676\) | 4.50000 | − | 7.79423i | 0.173077 | − | 0.299778i | ||||
\(677\) | 21.0000 | + | 36.3731i | 0.807096 | + | 1.39793i | 0.914867 | + | 0.403755i | \(0.132295\pi\) |
−0.107772 | + | 0.994176i | \(0.534372\pi\) | |||||||
\(678\) | −11.4907 | + | 9.64181i | −0.441296 | + | 0.370292i | ||||
\(679\) | 63.8991 | − | 23.2574i | 2.45222 | − | 0.892536i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.29813 | + | 1.92836i | 0.0880647 | + | 0.0738950i | ||||
\(682\) | −1.04189 | + | 5.90885i | −0.0398960 | + | 0.226261i | ||||
\(683\) | −36.0000 | −1.37750 | −0.688751 | − | 0.724998i | \(-0.741841\pi\) | ||||
−0.688751 | + | 0.724998i | \(0.741841\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 1.38919 | − | 7.87846i | 0.0530393 | − | 0.300801i | ||||
\(687\) | −12.2567 | − | 10.2846i | −0.467623 | − | 0.392382i | ||||
\(688\) | 3.75877 | + | 1.36808i | 0.143302 | + | 0.0521576i | ||||
\(689\) | −11.2763 | + | 4.10424i | −0.429593 | + | 0.156359i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.0000 | − | 38.1051i | −0.836919 | − | 1.44959i | −0.892458 | − | 0.451130i | \(-0.851021\pi\) |
0.0555386 | − | 0.998457i | \(-0.482312\pi\) | |||||||
\(692\) | −3.00000 | + | 5.19615i | −0.114043 | + | 0.197528i | ||||
\(693\) | 4.16756 | + | 23.6354i | 0.158312 | + | 0.897834i | ||||
\(694\) | 1.56283 | + | 8.86327i | 0.0593244 | + | 0.336445i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −41.3664 | + | 34.7105i | −1.56686 | + | 1.31476i | ||||
\(698\) | −3.75877 | + | 1.36808i | −0.142272 | + | 0.0517826i | ||||
\(699\) | −2.81908 | − | 1.02606i | −0.106627 | − | 0.0388092i | ||||
\(700\) | 15.3209 | + | 12.8558i | 0.579075 | + | 0.485902i | ||||
\(701\) | −4.16756 | + | 23.6354i | −0.157406 | + | 0.892696i | 0.799146 | + | 0.601137i | \(0.205285\pi\) |
−0.956553 | + | 0.291560i | \(0.905826\pi\) | |||||||
\(702\) | 10.0000 | 0.377426 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 3.00000 | 0.113067 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.29813 | − | 1.92836i | −0.0864914 | − | 0.0725749i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 8.45723 | − | 3.07818i | 0.317842 | − | 0.115685i | ||||
\(709\) | 10.7246 | − | 8.99903i | 0.402772 | − | 0.337966i | −0.418792 | − | 0.908082i | \(-0.637546\pi\) |
0.821564 | + | 0.570117i | \(0.193102\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.00000 | + | 6.92820i | −0.150012 | + | 0.259828i | ||||
\(712\) | −1.04189 | − | 5.90885i | −0.0390464 | − | 0.221443i | ||||
\(713\) | −2.08378 | − | 11.8177i | −0.0780381 | − | 0.442576i | ||||
\(714\) | 12.0000 | − | 20.7846i | 0.449089 | − | 0.777844i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 6.89440 | − | 5.78509i | 0.257656 | − | 0.216199i | ||||
\(717\) | 11.2763 | − | 4.10424i | 0.421122 | − | 0.153276i | ||||
\(718\) | −5.63816 | − | 2.05212i | −0.210414 | − | 0.0765845i | ||||
\(719\) | 22.9813 | + | 19.2836i | 0.857059 | + | 0.719158i | 0.961332 | − | 0.275391i | \(-0.0888072\pi\) |
−0.104273 | + | 0.994549i | \(0.533252\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.00000 | −0.297936 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.00000 | 0.185952 | ||||||||
\(724\) | 0.347296 | − | 1.96962i | 0.0129072 | − | 0.0732002i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.87939 | − | 0.684040i | −0.0697505 | − | 0.0253871i | ||||
\(727\) | −30.0702 | + | 10.9446i | −1.11524 | + | 0.405914i | −0.832913 | − | 0.553404i | \(-0.813329\pi\) |
−0.282327 | + | 0.959318i | \(0.591106\pi\) | |||||||
\(728\) | 6.12836 | − | 5.14230i | 0.227132 | − | 0.190586i | ||||
\(729\) | −6.50000 | − | 11.2583i | −0.240741 | − | 0.416975i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.16756 | + | 23.6354i | 0.154143 | + | 0.874186i | ||||
\(732\) | −0.694593 | − | 3.93923i | −0.0256729 | − | 0.145598i | ||||
\(733\) | 11.0000 | − | 19.0526i | 0.406294 | − | 0.703722i | −0.588177 | − | 0.808732i | \(-0.700154\pi\) |
0.994471 | + | 0.105010i | \(0.0334875\pi\) | |||||||
\(734\) | −11.0000 | − | 19.0526i | −0.406017 | − | 0.703243i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.63816 | + | 2.05212i | −0.207825 | + | 0.0756422i | ||||
\(737\) | 19.7335 | + | 7.18242i | 0.726894 | + | 0.264568i | ||||
\(738\) | 13.7888 | + | 11.5702i | 0.507573 | + | 0.425904i | ||||
\(739\) | 6.07769 | − | 34.4683i | 0.223571 | − | 1.26794i | −0.641826 | − | 0.766850i | \(-0.721823\pi\) |
0.865398 | − | 0.501086i | \(-0.167066\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 24.0000 | 0.881068 | ||||||||
\(743\) | −3.12567 | + | 17.7265i | −0.114670 | + | 0.650324i | 0.872244 | + | 0.489072i | \(0.162664\pi\) |
−0.986913 | + | 0.161252i | \(0.948447\pi\) | |||||||
\(744\) | −1.53209 | − | 1.28558i | −0.0561691 | − | 0.0471315i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −3.75877 | + | 1.36808i | −0.137618 | + | 0.0500890i | ||||
\(747\) | −4.59627 | + | 3.85673i | −0.168169 | + | 0.141110i | ||||
\(748\) | 9.00000 | + | 15.5885i | 0.329073 | + | 0.569970i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.59863 | + | 37.4227i | 0.240787 | + | 1.36557i | 0.830076 | + | 0.557651i | \(0.188297\pi\) |
−0.589288 | + | 0.807923i | \(0.700592\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.50000 | + | 2.59808i | 0.0546630 | + | 0.0946792i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −18.7939 | − | 6.84040i | −0.683526 | − | 0.248783i | ||||
\(757\) | −7.66044 | − | 6.42788i | −0.278424 | − | 0.233625i | 0.492873 | − | 0.870101i | \(-0.335947\pi\) |
−0.771296 | + | 0.636476i | \(0.780391\pi\) | |||||||
\(758\) | 4.86215 | − | 27.5746i | 0.176601 | − | 1.00156i | ||||
\(759\) | −18.0000 | −0.653359 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −39.0000 | −1.41375 | −0.706874 | − | 0.707339i | \(-0.749895\pi\) | ||||
−0.706874 | + | 0.707339i | \(0.749895\pi\) | |||||||
\(762\) | −0.347296 | + | 1.96962i | −0.0125812 | + | 0.0713516i | ||||
\(763\) | 49.0268 | + | 41.1384i | 1.77489 | + | 1.48931i | ||||
\(764\) | −11.2763 | − | 4.10424i | −0.407963 | − | 0.148486i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 27.5776 | − | 23.1404i | 0.996419 | − | 0.836095i | ||||
\(767\) | 9.00000 | + | 15.5885i | 0.324971 | + | 0.562867i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | 0.347296 | + | 1.96962i | 0.0125238 | + | 0.0710262i | 0.990429 | − | 0.138022i | \(-0.0440745\pi\) |
−0.977905 | + | 0.209048i | \(0.932963\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.50000 | + | 2.59808i | −0.0540212 | + | 0.0935674i | ||||
\(772\) | −1.00000 | − | 1.73205i | −0.0359908 | − | 0.0623379i | ||||
\(773\) | −36.7701 | + | 30.8538i | −1.32253 | + | 1.10973i | −0.336768 | + | 0.941588i | \(0.609334\pi\) |
−0.985762 | + | 0.168146i | \(0.946222\pi\) | |||||||
\(774\) | 7.51754 | − | 2.73616i | 0.270212 | − | 0.0983493i | ||||
\(775\) | 9.39693 | + | 3.42020i | 0.337548 | + | 0.122857i | ||||
\(776\) | −13.0228 | − | 10.9274i | −0.467490 | − | 0.392270i | ||||
\(777\) | 6.94593 | − | 39.3923i | 0.249184 | − | 1.41319i | ||||
\(778\) | 36.0000 | 1.29066 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.12567 | + | 17.7265i | −0.111845 | + | 0.634305i | ||||
\(782\) | −27.5776 | − | 23.1404i | −0.986173 | − | 0.827497i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −8.45723 | + | 3.07818i | −0.302044 | + | 0.109935i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 4.50000 | + | 7.79423i | 0.160510 | + | 0.278011i | ||||
\(787\) | 3.50000 | − | 6.06218i | 0.124762 | − | 0.216093i | −0.796878 | − | 0.604140i | \(-0.793517\pi\) |
0.921640 | + | 0.388047i | \(0.126850\pi\) | |||||||
\(788\) | 3.12567 | + | 17.7265i | 0.111347 | + | 0.631482i | ||||
\(789\) | −2.08378 | − | 11.8177i | −0.0741845 | − | 0.420721i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 30.0000 | + | 51.9615i | 1.06668 | + | 1.84754i | ||||
\(792\) | 4.59627 | − | 3.85673i | 0.163321 | − | 0.137043i | ||||
\(793\) | 7.51754 | − | 2.73616i | 0.266956 | − | 0.0971639i | ||||
\(794\) | −9.39693 | − | 3.42020i | −0.333484 | − | 0.121378i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.73648 | + | 9.84808i | −0.0615480 | + | 0.349056i | ||||
\(797\) | 6.00000 | 0.212531 | 0.106265 | − | 0.994338i | \(-0.466111\pi\) | ||||
0.106265 | + | 0.994338i | \(0.466111\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0.868241 | − | 4.92404i | 0.0306970 | − | 0.174091i | ||||
\(801\) | −9.19253 | − | 7.71345i | −0.324802 | − | 0.272541i | ||||
\(802\) | −25.3717 | − | 9.23454i | −0.895906 | − | 0.326083i | ||||
\(803\) | 2.81908 | − | 1.02606i | 0.0994831 | − | 0.0362089i | ||||
\(804\) | −5.36231 | + | 4.49951i | −0.189114 | + | 0.158686i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.00000 | − | 3.46410i | 0.0704470 | − | 0.122018i | ||||
\(807\) | 2.08378 | + | 11.8177i | 0.0733525 | + | 0.416002i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −22.5000 | + | 38.9711i | −0.791058 | + | 1.37015i | 0.134255 | + | 0.990947i | \(0.457136\pi\) |
−0.925312 | + | 0.379206i | \(0.876197\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.2567 | + | 10.2846i | −0.430391 | + | 0.361141i | −0.832099 | − | 0.554627i | \(-0.812861\pi\) |
0.401708 | + | 0.915768i | \(0.368417\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 15.0351 | + | 5.47232i | 0.527303 | + | 0.191923i | ||||
\(814\) | 22.9813 | + | 19.2836i | 0.805495 | + | 0.675891i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −6.00000 | −0.210042 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −5.00000 | −0.174821 | ||||||||
\(819\) | 2.77837 | − | 15.7569i | 0.0970841 | − | 0.550591i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −16.9145 | − | 6.15636i | −0.590319 | − | 0.214859i | 0.0295507 | − | 0.999563i | \(-0.490592\pi\) |
−0.619870 | + | 0.784705i | \(0.712815\pi\) | |||||||
\(822\) | 8.45723 | − | 3.07818i | 0.294980 | − | 0.107364i | ||||
\(823\) | 10.7246 | − | 8.99903i | 0.373837 | − | 0.313686i | −0.436440 | − | 0.899733i | \(-0.643761\pi\) |
0.810277 | + | 0.586047i | \(0.199317\pi\) | |||||||
\(824\) | 1.00000 | + | 1.73205i | 0.0348367 | + | 0.0603388i | ||||
\(825\) | 7.50000 | − | 12.9904i | 0.261116 | − | 0.452267i | ||||
\(826\) | −6.25133 | − | 35.4531i | −0.217512 | − | 1.23357i | ||||
\(827\) | −6.77228 | − | 38.4075i | −0.235495 | − | 1.33556i | −0.841568 | − | 0.540151i | \(-0.818367\pi\) |
0.606073 | − | 0.795409i | \(-0.292744\pi\) | |||||||
\(828\) | −6.00000 | + | 10.3923i | −0.208514 | + | 0.361158i | ||||
\(829\) | −22.0000 | − | 38.1051i | −0.764092 | − | 1.32345i | −0.940726 | − | 0.339169i | \(-0.889854\pi\) |
0.176634 | − | 0.984277i | \(-0.443479\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −7.51754 | + | 2.73616i | −0.260781 | + | 0.0949164i | ||||
\(832\) | −1.87939 | − | 0.684040i | −0.0651560 | − | 0.0237148i | ||||
\(833\) | −41.3664 | − | 34.7105i | −1.43326 | − | 1.20265i | ||||
\(834\) | −1.91013 | + | 10.8329i | −0.0661424 | + | 0.375112i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10.0000 | −0.345651 | ||||||||
\(838\) | 2.08378 | − | 11.8177i | 0.0719829 | − | 0.408235i | ||||
\(839\) | −9.19253 | − | 7.71345i | −0.317361 | − | 0.266298i | 0.470165 | − | 0.882578i | \(-0.344194\pi\) |
−0.787527 | + | 0.616280i | \(0.788639\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.2511 | − | 9.91858i | 0.939693 | − | 0.342020i | ||||
\(842\) | 7.66044 | − | 6.42788i | 0.263996 | − | 0.221519i | ||||
\(843\) | −13.5000 | − | 23.3827i | −0.464965 | − | 0.805342i | ||||
\(844\) | −10.0000 | + | 17.3205i | −0.344214 | + | 0.596196i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.00000 | + | 6.92820i | −0.137442 | + | 0.238056i | ||||
\(848\) | −3.00000 | − | 5.19615i | −0.103020 | − | 0.178437i | ||||
\(849\) | 3.83022 | − | 3.21394i | 0.131453 | − | 0.110302i | ||||
\(850\) | 28.1908 | − | 10.2606i | 0.966936 | − | 0.351936i | ||||
\(851\) | −56.3816 | − | 20.5212i | −1.93273 | − | 0.703458i | ||||
\(852\) | −4.59627 | − | 3.85673i | −0.157466 | − | 0.132129i | ||||
\(853\) | −3.82026 | + | 21.6658i | −0.130803 | + | 0.741822i | 0.846887 | + | 0.531772i | \(0.178474\pi\) |
−0.977691 | + | 0.210050i | \(0.932637\pi\) | |||||||
\(854\) | −16.0000 | −0.547509 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −0.520945 | + | 2.95442i | −0.0177951 | + | 0.100921i | −0.992412 | − | 0.122959i | \(-0.960761\pi\) |
0.974617 | + | 0.223881i | \(0.0718726\pi\) | |||||||
\(858\) | −4.59627 | − | 3.85673i | −0.156914 | − | 0.131666i | ||||
\(859\) | 40.4068 | + | 14.7069i | 1.37866 | + | 0.501792i | 0.921772 | − | 0.387732i | \(-0.126741\pi\) |
0.456889 | + | 0.889524i | \(0.348964\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −27.5776 | + | 23.1404i | −0.939842 | + | 0.788621i | ||||
\(862\) | −15.0000 | − | 25.9808i | −0.510902 | − | 0.884908i | ||||
\(863\) | −9.00000 | + | 15.5885i | −0.306364 | + | 0.530637i | −0.977564 | − | 0.210639i | \(-0.932446\pi\) |
0.671200 | + | 0.741276i | \(0.265779\pi\) | |||||||
\(864\) | 0.868241 | + | 4.92404i | 0.0295382 | + | 0.167519i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 13.0000 | − | 22.5167i | 0.441758 | − | 0.765147i | ||||
\(867\) | −9.50000 | − | 16.4545i | −0.322637 | − | 0.558824i | ||||
\(868\) | −6.12836 | + | 5.14230i | −0.208010 | + | 0.174541i | ||||
\(869\) | 11.2763 | − | 4.10424i | 0.382523 | − | 0.139227i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.7246 | − | 8.99903i | −0.363390 | − | 0.304920i | ||||
\(872\) | 2.77837 | − | 15.7569i | 0.0940875 | − | 0.533597i | ||||
\(873\) | −34.0000 | −1.15073 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.173648 | + | 0.984808i | −0.00586703 | + | 0.0332736i | ||||
\(877\) | 15.3209 | + | 12.8558i | 0.517350 | + | 0.434108i | 0.863707 | − | 0.503995i | \(-0.168137\pi\) |
−0.346357 | + | 0.938103i | \(0.612581\pi\) | |||||||
\(878\) | 13.1557 | + | 4.78828i | 0.443983 | + | 0.161597i | ||||
\(879\) | −22.5526 | + | 8.20848i | −0.760681 | + | 0.276865i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.50000 | + | 7.79423i | 0.151609 | + | 0.262594i | 0.931819 | − | 0.362923i | \(-0.118221\pi\) |
−0.780210 | + | 0.625517i | \(0.784888\pi\) | |||||||
\(882\) | −9.00000 | + | 15.5885i | −0.303046 | + | 0.524891i | ||||
\(883\) | −3.29932 | − | 18.7113i | −0.111031 | − | 0.629687i | −0.988639 | − | 0.150309i | \(-0.951973\pi\) |
0.877608 | − | 0.479378i | \(-0.159138\pi\) | |||||||
\(884\) | −2.08378 | − | 11.8177i | −0.0700850 | − | 0.397472i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.50000 | + | 7.79423i | 0.151180 | + | 0.261852i | ||||
\(887\) | 36.7701 | − | 30.8538i | 1.23462 | − | 1.03597i | 0.236695 | − | 0.971584i | \(-0.423936\pi\) |
0.997925 | − | 0.0643854i | \(-0.0205087\pi\) | |||||||
\(888\) | −9.39693 | + | 3.42020i | −0.315340 | + | 0.114774i | ||||
\(889\) | 7.51754 | + | 2.73616i | 0.252130 | + | 0.0917679i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.520945 | − | 2.95442i | 0.0174523 | − | 0.0989769i | ||||
\(892\) | 14.0000 | 0.468755 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −18.0000 | −0.602010 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 3.06418 | + | 2.57115i | 0.102367 | + | 0.0858961i | ||||
\(897\) | 11.2763 | + | 4.10424i | 0.376505 | + | 0.137037i | ||||
\(898\) | 8.45723 | − | 3.07818i | 0.282222 | − | 0.102720i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −5.00000 | − | 8.66025i | −0.166667 | − | 0.288675i | ||||
\(901\) | 18.0000 | − | 31.1769i | 0.599667 | − | 1.03865i | ||||
\(902\) | −4.68850 | − | 26.5898i | −0.156110 | − | 0.885344i | ||||
\(903\) | 2.77837 | + | 15.7569i | 0.0924584 | + | 0.524358i | ||||
\(904\) | 7.50000 | − | 12.9904i | 0.249446 | − | 0.432054i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 7.66044 | − | 6.42788i | 0.254501 | − | 0.213552i | ||||
\(907\) | −15.9748 | + | 5.81434i | −0.530434 | + | 0.193062i | −0.593332 | − | 0.804958i | \(-0.702188\pi\) |
0.0628983 | + | 0.998020i | \(0.479966\pi\) | |||||||
\(908\) | −2.81908 | − | 1.02606i | −0.0935544 | − | 0.0340510i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 30.0000 | 0.993944 | 0.496972 | − | 0.867766i | \(-0.334445\pi\) | ||||
0.496972 | + | 0.867766i | \(0.334445\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.00000 | 0.297857 | ||||||||
\(914\) | −0.868241 | + | 4.92404i | −0.0287189 | + | 0.162873i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 15.0351 | + | 5.47232i | 0.496773 | + | 0.180811i | ||||
\(917\) | 33.8289 | − | 12.3127i | 1.11713 | − | 0.406602i | ||||
\(918\) | −22.9813 | + | 19.2836i | −0.758497 | + | 0.636455i | ||||
\(919\) | 5.00000 | + | 8.66025i | 0.164935 | + | 0.285675i | 0.936632 | − | 0.350315i | \(-0.113925\pi\) |
−0.771697 | + | 0.635990i | \(0.780592\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1.21554 | − | 6.89365i | −0.0400533 | − | 0.227154i | ||||
\(922\) | −1.04189 | − | 5.90885i | −0.0343128 | − | 0.194597i | ||||
\(923\) | 6.00000 | − | 10.3923i | 0.197492 | − | 0.342067i | ||||
\(924\) | 6.00000 | + | 10.3923i | 0.197386 | + | 0.341882i | ||||
\(925\) | 38.3022 | − | 32.1394i | 1.25937 | − | 1.05674i | ||||
\(926\) | −31.9495 | + | 11.6287i | −1.04993 | + | 0.382142i | ||||
\(927\) | 3.75877 | + | 1.36808i | 0.123454 | + | 0.0449337i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −0.520945 | + | 2.95442i | −0.0170916 | + | 0.0969315i | −0.992160 | − | 0.124972i | \(-0.960116\pi\) |
0.975069 | + | 0.221904i | \(0.0712270\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.00000 | 0.0982683 | ||||||||
\(933\) | −5.20945 | + | 29.5442i | −0.170550 | + | 0.967235i | ||||
\(934\) | 20.6832 | + | 17.3553i | 0.676775 | + | 0.567882i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.75877 | + | 1.36808i | −0.122859 | + | 0.0447171i | ||||
\(937\) | 26.8116 | − | 22.4976i | 0.875895 | − | 0.734963i | −0.0894356 | − | 0.995993i | \(-0.528506\pi\) |
0.965331 | + | 0.261029i | \(0.0840619\pi\) | |||||||
\(938\) | 14.0000 | + | 24.2487i | 0.457116 | + | 0.791748i | ||||
\(939\) | 9.50000 | − | 16.4545i | 0.310021 | − | 0.536972i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −7.29322 | − | 41.3619i | −0.237752 | − | 1.34836i | −0.836739 | − | 0.547601i | \(-0.815541\pi\) |
0.598987 | − | 0.800759i | \(-0.295570\pi\) | |||||||
\(942\) | −8.00000 | + | 13.8564i | −0.260654 | + | 0.451466i | ||||
\(943\) | 27.0000 | + | 46.7654i | 0.879241 | + | 1.52289i | ||||
\(944\) | −6.89440 | + | 5.78509i | −0.224394 | + | 0.188289i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.2763 | − | 4.10424i | −0.366625 | − | 0.133440i | ||||
\(947\) | 45.9627 | + | 38.5673i | 1.49359 | + | 1.25327i | 0.889992 | + | 0.455975i | \(0.150709\pi\) |
0.603594 | + | 0.797292i | \(0.293735\pi\) | |||||||
\(948\) | −0.694593 | + | 3.93923i | −0.0225593 | + | 0.127940i | ||||
\(949\) | −2.00000 | −0.0649227 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | −4.16756 | + | 23.6354i | −0.135071 | + | 0.766027i | ||||
\(953\) | −11.4907 | − | 9.64181i | −0.372219 | − | 0.312329i | 0.437420 | − | 0.899258i | \(-0.355892\pi\) |
−0.809639 | + | 0.586929i | \(0.800337\pi\) | |||||||
\(954\) | −11.2763 | − | 4.10424i | −0.365084 | − | 0.132880i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −9.19253 | + | 7.71345i | −0.297308 | + | 0.249471i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 18.0000 | − | 31.1769i | 0.581554 | − | 1.00728i | ||||
\(959\) | −6.25133 | − | 35.4531i | −0.201866 | − | 1.14484i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5000 | − | 23.3827i | 0.435484 | − | 0.754280i | ||||
\(962\) | −10.0000 | − | 17.3205i | −0.322413 | − | 0.558436i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.69846 | + | 1.71010i | −0.151327 | + | 0.0550786i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −18.3851 | − | 15.4269i | −0.591530 | − | 0.496352i | ||||
\(967\) | −5.90404 | + | 33.4835i | −0.189861 | + | 1.07676i | 0.729688 | + | 0.683780i | \(0.239665\pi\) |
−0.919549 | + | 0.392975i | \(0.871446\pi\) | |||||||
\(968\) | 2.00000 | 0.0642824 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.64661 | − | 20.6810i | 0.117025 | − | 0.663684i | −0.868702 | − | 0.495335i | \(-0.835045\pi\) |
0.985727 | − | 0.168349i | \(-0.0538435\pi\) | |||||||
\(972\) | 12.2567 | + | 10.2846i | 0.393134 | + | 0.329879i | ||||
\(973\) | 41.3465 | + | 15.0489i | 1.32551 | + | 0.482445i | ||||
\(974\) | 1.87939 | − | 0.684040i | 0.0602194 | − | 0.0219181i | ||||
\(975\) | −7.66044 | + | 6.42788i | −0.245331 | + | 0.205857i | ||||
\(976\) | 2.00000 | + | 3.46410i | 0.0640184 | + | 0.110883i | ||||
\(977\) | −16.5000 | + | 28.5788i | −0.527882 | + | 0.914318i | 0.471590 | + | 0.881818i | \(0.343680\pi\) |
−0.999472 | + | 0.0325001i | \(0.989653\pi\) | |||||||
\(978\) | 3.29932 | + | 18.7113i | 0.105500 | + | 0.598323i | ||||
\(979\) | 3.12567 | + | 17.7265i | 0.0998968 | + | 0.566543i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −16.0000 | − | 27.7128i | −0.510841 | − | 0.884802i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −22.5526 | + | 8.20848i | −0.719317 | + | 0.261810i | −0.675636 | − | 0.737236i | \(-0.736131\pi\) |
−0.0436812 | + | 0.999046i | \(0.513909\pi\) | |||||||
\(984\) | 8.45723 | + | 3.07818i | 0.269607 | + | 0.0981288i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 24.0000 | 0.763156 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.12836 | + | 5.14230i | 0.194674 | + | 0.163351i | 0.734914 | − | 0.678160i | \(-0.237222\pi\) |
−0.540241 | + | 0.841511i | \(0.681667\pi\) | |||||||
\(992\) | 1.87939 | + | 0.684040i | 0.0596705 | + | 0.0217183i | ||||
\(993\) | −4.69846 | + | 1.71010i | −0.149101 | + | 0.0542684i | ||||
\(994\) | −18.3851 | + | 15.4269i | −0.583139 | + | 0.489312i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −1.50000 | + | 2.59808i | −0.0475293 | + | 0.0823232i | ||||
\(997\) | −0.694593 | − | 3.93923i | −0.0219980 | − | 0.124757i | 0.971831 | − | 0.235678i | \(-0.0757310\pi\) |
−0.993829 | + | 0.110921i | \(0.964620\pi\) | |||||||
\(998\) | 4.34120 | + | 24.6202i | 0.137418 | + | 0.779339i | ||||
\(999\) | −25.0000 | + | 43.3013i | −0.790965 | + | 1.36999i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))