Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(289,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bo (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: | \(7.28235666434\) |
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: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 289.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.289 |
Dual form | 912.2.bo.a.385.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.173648 | − | 0.984808i | −0.100256 | − | 0.568579i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.907604 | + | 0.761570i | −0.405893 | + | 0.340584i | −0.822766 | − | 0.568380i | \(-0.807570\pi\) |
0.416873 | + | 0.908965i | \(0.363126\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.733956 | + | 1.27125i | −0.277409 | + | 0.480487i | −0.970740 | − | 0.240133i | \(-0.922809\pi\) |
0.693331 | + | 0.720619i | \(0.256142\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.939693 | + | 0.342020i | −0.313231 | + | 0.114007i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.592396 | + | 1.02606i | 0.178614 | + | 0.309369i | 0.941406 | − | 0.337275i | \(-0.109505\pi\) |
−0.762792 | + | 0.646644i | \(0.776172\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.446967 | − | 2.53487i | 0.123966 | − | 0.703047i | −0.857950 | − | 0.513733i | \(-0.828262\pi\) |
0.981916 | − | 0.189315i | \(-0.0606266\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.907604 | + | 0.761570i | 0.234342 | + | 0.196637i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.09240 | − | 0.761570i | −0.507481 | − | 0.184708i | 0.0755749 | − | 0.997140i | \(-0.475921\pi\) |
−0.583056 | + | 0.812432i | \(0.698143\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.819078 | + | 4.28125i | −0.187909 | + | 0.982186i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.37939 | + | 0.502055i | 0.301007 | + | 0.109557i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.907604 | − | 0.761570i | −0.189248 | − | 0.158798i | 0.543241 | − | 0.839577i | \(-0.317197\pi\) |
−0.732489 | + | 0.680779i | \(0.761642\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.624485 | + | 3.54163i | −0.124897 | + | 0.708326i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.500000 | + | 0.866025i | 0.0962250 | + | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.84389 | + | 3.21891i | −1.64227 | + | 0.597737i | −0.987434 | − | 0.158034i | \(-0.949485\pi\) |
−0.654836 | + | 0.755771i | \(0.727262\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.96451 | + | 6.86673i | −0.712047 | + | 1.23330i | 0.252041 | + | 0.967717i | \(0.418898\pi\) |
−0.964088 | + | 0.265584i | \(0.914435\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.907604 | − | 0.761570i | 0.157994 | − | 0.132572i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.302004 | − | 1.71275i | −0.0510479 | − | 0.289507i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0641778 | −0.0105508 | −0.00527538 | − | 0.999986i | \(-0.501679\pi\) | ||||
−0.00527538 | + | 0.999986i | \(0.501679\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.57398 | −0.412166 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.68092 | + | 9.53298i | 0.262516 | + | 1.48880i | 0.776017 | + | 0.630713i | \(0.217237\pi\) |
−0.513501 | + | 0.858089i | \(0.671652\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.55303 | − | 4.65955i | 0.846830 | − | 0.710574i | −0.112259 | − | 0.993679i | \(-0.535809\pi\) |
0.959089 | + | 0.283104i | \(0.0913643\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.592396 | − | 1.02606i | 0.0883092 | − | 0.152956i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.57145 | + | 1.66387i | −0.666815 | + | 0.242701i | −0.653176 | − | 0.757206i | \(-0.726564\pi\) |
−0.0136389 | + | 0.999907i | \(0.504342\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.42262 | + | 4.19610i | 0.346088 | + | 0.599443i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.386659 | + | 2.19285i | −0.0541431 | + | 0.307061i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.11334 | − | 0.934204i | −0.152929 | − | 0.128323i | 0.563113 | − | 0.826380i | \(-0.309604\pi\) |
−0.716042 | + | 0.698057i | \(0.754048\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.31908 | − | 0.480105i | −0.177864 | − | 0.0647374i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.35844 | + | 0.0632028i | 0.577290 | + | 0.00837141i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.31908 | + | 0.480105i | 0.171729 | + | 0.0625044i | 0.426454 | − | 0.904509i | \(-0.359763\pi\) |
−0.254725 | + | 0.967014i | \(0.581985\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.97565 | + | 5.01417i | 0.765104 | + | 0.641998i | 0.939450 | − | 0.342686i | \(-0.111337\pi\) |
−0.174346 | + | 0.984684i | \(0.555781\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.254900 | − | 1.44561i | 0.0321144 | − | 0.182130i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.52481 | + | 2.64106i | 0.189130 | + | 0.327583i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.19119 | − | 2.98135i | 1.00071 | − | 0.364230i | 0.210854 | − | 0.977518i | \(-0.432376\pi\) |
0.789859 | + | 0.613288i | \(0.210153\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.592396 | + | 1.02606i | −0.0713161 | + | 0.123523i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −11.2135 | + | 9.40923i | −1.33079 | + | 1.11667i | −0.346904 | + | 0.937901i | \(0.612767\pi\) |
−0.983891 | + | 0.178769i | \(0.942789\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.13563 | + | 6.44047i | 0.132915 | + | 0.753801i | 0.976289 | + | 0.216473i | \(0.0694552\pi\) |
−0.843373 | + | 0.537328i | \(0.819434\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.59627 | 0.415261 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.73917 | −0.198197 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.24035 | − | 12.7057i | −0.252059 | − | 1.42950i | −0.803510 | − | 0.595292i | \(-0.797037\pi\) |
0.551450 | − | 0.834208i | \(-0.314075\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.766044 | − | 0.642788i | 0.0851160 | − | 0.0714208i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.94949 | − | 3.37662i | 0.213985 | − | 0.370632i | −0.738973 | − | 0.673735i | \(-0.764689\pi\) |
0.952958 | + | 0.303102i | \(0.0980224\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.47906 | − | 0.902302i | 0.268891 | − | 0.0978684i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.70574 | + | 8.15058i | 0.504508 | + | 0.873833i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.15523 | − | 12.2229i | 0.228454 | − | 1.29563i | −0.627517 | − | 0.778603i | \(-0.715929\pi\) |
0.855971 | − | 0.517024i | \(-0.172960\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.89440 | + | 2.42869i | 0.303416 | + | 0.254596i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 7.45084 | + | 2.71188i | 0.772616 | + | 0.281209i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.51707 | − | 4.50946i | −0.258246 | − | 0.462661i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −12.1356 | − | 4.41701i | −1.23219 | − | 0.448479i | −0.357841 | − | 0.933783i | \(-0.616487\pi\) |
−0.874346 | + | 0.485303i | \(0.838709\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.907604 | − | 0.761570i | −0.0912176 | − | 0.0765407i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.38578 | − | 13.5304i | 0.237394 | − | 1.34633i | −0.600118 | − | 0.799911i | \(-0.704880\pi\) |
0.837513 | − | 0.546418i | \(-0.184009\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.56805 | + | 14.8403i | 0.844235 | + | 1.46226i | 0.886284 | + | 0.463142i | \(0.153278\pi\) |
−0.0420491 | + | 0.999116i | \(0.513389\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.63429 | + | 0.594831i | −0.159490 | + | 0.0580496i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −5.25150 | + | 9.09586i | −0.507681 | + | 0.879330i | 0.492279 | + | 0.870437i | \(0.336164\pi\) |
−0.999960 | + | 0.00889246i | \(0.997169\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.16044 | + | 5.16923i | −0.590064 | + | 0.495122i | −0.888234 | − | 0.459390i | \(-0.848068\pi\) |
0.298171 | + | 0.954512i | \(0.403623\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.0111444 | + | 0.0632028i | 0.00105778 | + | 0.00599894i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −19.1411 | −1.80065 | −0.900324 | − | 0.435220i | \(-0.856670\pi\) | ||||
−0.900324 | + | 0.435220i | \(0.856670\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.40373 | 0.130899 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.446967 | + | 2.53487i | 0.0413221 | + | 0.234349i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.50387 | − | 2.10100i | 0.229529 | − | 0.192598i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.79813 | − | 8.31061i | 0.436194 | − | 0.755510i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.09627 | − | 3.31077i | 0.820183 | − | 0.298522i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.09240 | − | 8.82029i | −0.455478 | − | 0.788911i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.26352 | + | 7.16577i | −0.112119 | + | 0.635859i | 0.876017 | + | 0.482280i | \(0.160191\pi\) |
−0.988136 | + | 0.153579i | \(0.950920\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.55303 | − | 4.65955i | −0.488917 | − | 0.410250i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.48293 | − | 2.35959i | −0.566416 | − | 0.206159i | 0.0429093 | − | 0.999079i | \(-0.486337\pi\) |
−0.609325 | + | 0.792920i | \(0.708560\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.84137 | − | 4.18350i | −0.419800 | − | 0.362755i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.11334 | − | 0.405223i | −0.0958211 | − | 0.0348760i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 12.1211 | + | 10.1708i | 1.03557 | + | 0.868950i | 0.991504 | − | 0.130079i | \(-0.0415230\pi\) |
0.0440702 | + | 0.999028i | \(0.485967\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.68732 | − | 15.2405i | 0.227935 | − | 1.29269i | −0.629058 | − | 0.777358i | \(-0.716559\pi\) |
0.856993 | − | 0.515327i | \(-0.172330\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.43242 | + | 4.21307i | 0.204847 | + | 0.354805i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.86571 | − | 1.04303i | 0.239643 | − | 0.0872230i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.57532 | − | 9.65674i | 0.463005 | − | 0.801949i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.71167 | − | 3.11446i | 0.306133 | − | 0.256876i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.386659 | + | 2.19285i | 0.0316764 | + | 0.179646i | 0.996541 | − | 0.0831016i | \(-0.0264826\pi\) |
−0.964865 | + | 0.262747i | \(0.915371\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.59627 | −0.536797 | −0.268398 | − | 0.963308i | \(-0.586494\pi\) | ||||
−0.268398 | + | 0.963308i | \(0.586494\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.22668 | 0.180017 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.63129 | − | 9.25152i | −0.131029 | − | 0.743100i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.08899 | − | 5.94837i | 0.565763 | − | 0.474732i | −0.314474 | − | 0.949266i | \(-0.601828\pi\) |
0.880237 | + | 0.474534i | \(0.157384\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.726682 | + | 1.25865i | −0.0576296 | + | 0.0998174i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.63429 | − | 0.594831i | 0.128800 | − | 0.0468793i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.57011 | − | 2.71951i | −0.122980 | − | 0.213008i | 0.797961 | − | 0.602709i | \(-0.205912\pi\) |
−0.920942 | + | 0.389700i | \(0.872579\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.243756 | + | 1.38241i | −0.0189764 | + | 0.107620i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −12.1591 | − | 10.2027i | −0.940899 | − | 0.789508i | 0.0368422 | − | 0.999321i | \(-0.488270\pi\) |
−0.977742 | + | 0.209813i | \(0.932715\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.99020 | + | 2.18025i | 0.460785 | + | 0.167712i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.694593 | − | 4.30320i | −0.0531168 | − | 0.329074i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.25237 | − | 1.18377i | −0.247273 | − | 0.0900002i | 0.215410 | − | 0.976524i | \(-0.430891\pi\) |
−0.462684 | + | 0.886524i | \(0.653113\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.04395 | − | 3.39328i | −0.305694 | − | 0.256508i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.243756 | − | 1.38241i | 0.0183218 | − | 0.103908i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.315207 | − | 0.545955i | −0.0235597 | − | 0.0408066i | 0.854005 | − | 0.520265i | \(-0.174167\pi\) |
−0.877565 | + | 0.479458i | \(0.840833\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.0778 | − | 4.03201i | 0.823410 | − | 0.299697i | 0.104259 | − | 0.994550i | \(-0.466753\pi\) |
0.719151 | + | 0.694853i | \(0.244531\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.90033 | − | 6.75557i | 0.288321 | − | 0.499386i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.0582480 | − | 0.0488759i | 0.00428248 | − | 0.00359342i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.458111 | − | 2.59808i | −0.0335004 | − | 0.189990i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.46791 | −0.106775 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.4192 | −0.826265 | −0.413133 | − | 0.910671i | \(-0.635565\pi\) | ||||
−0.413133 | + | 0.910671i | \(0.635565\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.64796 | + | 9.34602i | 0.118622 | + | 0.672741i | 0.984893 | + | 0.173166i | \(0.0553996\pi\) |
−0.866270 | + | 0.499576i | \(0.833489\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.33615 | − | 1.96026i | 0.167295 | − | 0.140377i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.56758 | + | 6.17923i | −0.254180 | + | 0.440252i | −0.964672 | − | 0.263452i | \(-0.915139\pi\) |
0.710493 | + | 0.703705i | \(0.248472\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.6814 | + | 6.07153i | −1.18251 | + | 0.430399i | −0.857089 | − | 0.515169i | \(-0.827729\pi\) |
−0.325424 | + | 0.945568i | \(0.605507\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.35844 | − | 7.54904i | −0.307421 | − | 0.532468i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.39899 | − | 13.6053i | 0.168376 | − | 0.954907i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.78564 | − | 7.37203i | −0.613616 | − | 0.514885i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.11334 | + | 0.405223i | 0.0773825 | + | 0.0281649i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.87804 | + | 1.69577i | −0.337421 | + | 0.117299i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.03209 | + | 0.739620i | 0.139895 | + | 0.0509175i | 0.411019 | − | 0.911627i | \(-0.365173\pi\) |
−0.271124 | + | 0.962544i | \(0.587395\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 11.2135 | + | 9.40923i | 0.768335 | + | 0.644709i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.49138 | + | 8.45805i | −0.101711 | + | 0.576834i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.81954 | − | 10.0797i | −0.395056 | − | 0.684258i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.14543 | − | 2.23675i | 0.415270 | − | 0.151146i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.86571 | + | 4.96356i | −0.192769 | + | 0.333885i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 21.6446 | − | 18.1619i | 1.44943 | − | 1.21621i | 0.516429 | − | 0.856330i | \(-0.327261\pi\) |
0.932997 | − | 0.359883i | \(-0.117183\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.624485 | − | 3.54163i | −0.0416323 | − | 0.236109i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 21.0232 | 1.39536 | 0.697680 | − | 0.716409i | \(-0.254216\pi\) | ||||
0.697680 | + | 0.716409i | \(0.254216\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.96080 | 0.526064 | 0.263032 | − | 0.964787i | \(-0.415277\pi\) | ||||
0.263032 | + | 0.964787i | \(0.415277\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.302004 | + | 1.71275i | 0.0198704 | + | 0.112691i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.2515 | − | 9.44113i | 0.737110 | − | 0.618509i | −0.194950 | − | 0.980813i | \(-0.562454\pi\) |
0.932060 | + | 0.362304i | \(0.118010\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.88191 | − | 4.99162i | 0.187995 | − | 0.325617i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −12.1236 | + | 4.41263i | −0.787513 | + | 0.286631i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.86484 | + | 13.6223i | 0.508734 | + | 0.881153i | 0.999949 | + | 0.0101147i | \(0.00321967\pi\) |
−0.491215 | + | 0.871038i | \(0.663447\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.71079 | − | 9.70237i | 0.110202 | − | 0.624985i | −0.878813 | − | 0.477166i | \(-0.841664\pi\) |
0.989015 | − | 0.147818i | \(-0.0472250\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.766044 | − | 0.642788i | −0.0491418 | − | 0.0412348i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.39440 | − | 1.96340i | −0.344636 | − | 0.125437i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.4863 | + | 3.98983i | 0.667229 | + | 0.253867i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.66385 | − | 1.33353i | −0.232187 | − | 0.0845091i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.54117 | − | 2.97140i | −0.223517 | − | 0.187553i | 0.524152 | − | 0.851625i | \(-0.324382\pi\) |
−0.747669 | + | 0.664072i | \(0.768827\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.243756 | − | 1.38241i | 0.0153248 | − | 0.0869112i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.31908 | − | 2.28471i | −0.0826039 | − | 0.143074i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.83527 | − | 1.03196i | 0.176860 | − | 0.0643716i | −0.252073 | − | 0.967708i | \(-0.581112\pi\) |
0.428932 | + | 0.903337i | \(0.358890\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.0471036 | − | 0.0815859i | 0.00292688 | − | 0.00506950i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.20961 | − | 6.04958i | 0.446263 | − | 0.374460i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.869585 | + | 4.93166i | 0.0536209 | + | 0.304099i | 0.999810 | − | 0.0195163i | \(-0.00621264\pi\) |
−0.946189 | + | 0.323616i | \(0.895102\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.72193 | 0.105778 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.4115 | −0.759570 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.26945 | − | 24.2132i | −0.260313 | − | 1.47631i | −0.782058 | − | 0.623206i | \(-0.785830\pi\) |
0.521745 | − | 0.853102i | \(-0.325281\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.28699 | − | 1.07991i | 0.0781790 | − | 0.0656000i | −0.602861 | − | 0.797846i | \(-0.705973\pi\) |
0.681040 | + | 0.732246i | \(0.261528\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.88919 | − | 3.27217i | 0.114339 | − | 0.198040i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.00387 | + | 1.45729i | −0.241442 | + | 0.0878779i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.9907 | + | 25.9646i | 0.900702 | + | 1.56006i | 0.826585 | + | 0.562812i | \(0.190280\pi\) |
0.0741168 | + | 0.997250i | \(0.476386\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.37686 | − | 7.80856i | 0.0824304 | − | 0.467486i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.4914 | + | 11.3206i | 0.804828 | + | 0.675331i | 0.949367 | − | 0.314168i | \(-0.101725\pi\) |
−0.144539 | + | 0.989499i | \(0.546170\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.9547 | + | 5.44307i | 0.888965 | + | 0.323557i | 0.745822 | − | 0.666145i | \(-0.232057\pi\) |
0.143143 | + | 0.989702i | \(0.454279\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.00387 | + | 3.26189i | −0.237169 | + | 0.193218i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −13.3525 | − | 4.85992i | −0.788174 | − | 0.286872i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.22462 | − | 7.74038i | −0.542625 | − | 0.455316i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.24257 | + | 12.7183i | −0.131462 | + | 0.745558i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −0.134285 | − | 0.232589i | −0.00784503 | − | 0.0135880i | 0.862076 | − | 0.506779i | \(-0.169164\pi\) |
−0.869921 | + | 0.493191i | \(0.835831\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.56283 | + | 0.568825i | −0.0909917 | + | 0.0331183i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.592396 | + | 1.02606i | −0.0343743 | + | 0.0595381i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.33615 | + | 1.96026i | −0.135103 | + | 0.113365i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.84776 | + | 10.4792i | 0.106503 | + | 0.604010i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −13.7392 | −0.789295 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −9.24216 | −0.529205 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.0992034 | + | 0.562610i | 0.00566184 | + | 0.0321099i | 0.987508 | − | 0.157570i | \(-0.0503660\pi\) |
−0.981846 | + | 0.189680i | \(0.939255\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 13.1270 | − | 11.0149i | 0.746770 | − | 0.626614i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 7.17617 | − | 12.4295i | 0.406924 | − | 0.704812i | −0.587620 | − | 0.809137i | \(-0.699935\pi\) |
0.994543 | + | 0.104325i | \(0.0332682\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.25877 | − | 0.822125i | 0.127673 | − | 0.0464693i | −0.277393 | − | 0.960756i | \(-0.589471\pi\) |
0.405067 | + | 0.914287i | \(0.367248\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.869585 | + | 1.50617i | 0.0489956 | + | 0.0848628i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.44104 | − | 13.8438i | 0.137102 | − | 0.777546i | −0.836270 | − | 0.548317i | \(-0.815269\pi\) |
0.973373 | − | 0.229228i | \(-0.0736203\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.54189 | − | 7.16750i | −0.478254 | − | 0.401303i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.86959 | + | 3.59224i | 0.550867 | + | 0.200499i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 4.97431 | − | 8.33429i | 0.276778 | − | 0.463732i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.69846 | + | 3.16598i | 0.482504 | + | 0.175617i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 6.16044 | + | 5.16923i | 0.340673 | + | 0.285859i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.24005 | − | 7.03266i | 0.0683660 | − | 0.387723i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.4213 | + | 23.2463i | 0.737700 | + | 1.27773i | 0.953529 | + | 0.301303i | \(0.0974214\pi\) |
−0.215829 | + | 0.976431i | \(0.569245\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.0603074 | − | 0.0219501i | 0.00330482 | − | 0.00120286i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −5.16385 | + | 8.94405i | −0.282131 | + | 0.488665i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.0266 | + | 13.4479i | −0.873026 | + | 0.732556i | −0.964733 | − | 0.263230i | \(-0.915212\pi\) |
0.0917071 | + | 0.995786i | \(0.470768\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.32383 | + | 18.8504i | 0.180525 | + | 1.02381i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −9.39424 | −0.508727 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.3878 | −0.938851 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.243756 | − | 1.38241i | −0.0131234 | − | 0.0744263i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 25.7670 | − | 21.6211i | 1.38324 | − | 1.16068i | 0.415249 | − | 0.909708i | \(-0.363694\pi\) |
0.967994 | − | 0.250972i | \(-0.0807502\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.5758 | + | 23.5140i | −0.726695 | + | 1.25867i | 0.231577 | + | 0.972817i | \(0.425611\pi\) |
−0.958272 | + | 0.285857i | \(0.907722\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.41875 | − | 0.880352i | 0.129103 | − | 0.0469897i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 8.37258 | + | 14.5017i | 0.445627 | + | 0.771849i | 0.998096 | − | 0.0616847i | \(-0.0196473\pi\) |
−0.552468 | + | 0.833534i | \(0.686314\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.01161 | − | 17.0797i | 0.159840 | − | 0.906496i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.50387 | − | 2.10100i | −0.132519 | − | 0.111197i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.45336 | − | 1.62089i | −0.235040 | − | 0.0855474i | 0.221815 | − | 0.975089i | \(-0.428802\pi\) |
−0.456855 | + | 0.889541i | \(0.651024\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.6582 | − | 7.01336i | −0.929380 | − | 0.369124i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −9.01754 | − | 3.28212i | −0.473298 | − | 0.172266i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.93557 | − | 4.98054i | −0.310682 | − | 0.260693i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.52687 | + | 8.65933i | −0.0797022 | + | 0.452014i | 0.918672 | + | 0.395020i | \(0.129262\pi\) |
−0.998375 | + | 0.0569932i | \(0.981849\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −4.84002 | − | 8.38316i | −0.251962 | − | 0.436410i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.00475 | − | 0.729669i | 0.104081 | − | 0.0378825i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.72281 | − | 8.18015i | 0.244538 | − | 0.423552i | −0.717464 | − | 0.696596i | \(-0.754697\pi\) |
0.962002 | + | 0.273044i | \(0.0880304\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.80200 | + | 6.54666i | −0.402894 | + | 0.338068i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.20661 | + | 23.8569i | 0.216652 | + | 1.22869i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −36.9077 | −1.89582 | −0.947910 | − | 0.318540i | \(-0.896808\pi\) | ||||
−0.947910 | + | 0.318540i | \(0.896808\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.27631 | 0.372777 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.11721 | + | 29.0211i | 0.261477 | + | 1.48291i | 0.778882 | + | 0.627171i | \(0.215787\pi\) |
−0.517405 | + | 0.855741i | \(0.673102\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.57848 | − | 1.32450i | 0.0804467 | − | 0.0675028i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.62449 | + | 6.27779i | −0.184243 | + | 0.319118i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −16.6211 | + | 6.04958i | −0.842722 | + | 0.306726i | −0.727069 | − | 0.686564i | \(-0.759118\pi\) |
−0.115653 | + | 0.993290i | \(0.536896\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.31908 | + | 2.28471i | 0.0667086 | + | 0.115543i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.19800 | + | 6.79417i | −0.0604309 | + | 0.342721i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 11.7096 | + | 9.82553i | 0.589174 | + | 0.494376i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.8302 | − | 4.30585i | −0.593742 | − | 0.216104i | 0.0276326 | − | 0.999618i | \(-0.491203\pi\) |
−0.621374 | + | 0.783514i | \(0.713425\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.27925 | + | 5.49427i | −0.164168 | + | 0.275058i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 22.6211 | + | 8.23340i | 1.12964 | + | 0.411156i | 0.838163 | − | 0.545420i | \(-0.183630\pi\) |
0.291480 | + | 0.956577i | \(0.405852\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.6343 | + | 13.1187i | 0.778799 | + | 0.653490i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.205737 | + | 1.16679i | −0.0102232 | + | 0.0579784i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.0380187 | − | 0.0658503i | −0.00188452 | − | 0.00326408i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 33.2276 | − | 12.0939i | 1.64300 | − | 0.598003i | 0.655440 | − | 0.755247i | \(-0.272483\pi\) |
0.987560 | + | 0.157244i | \(0.0502610\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 7.91147 | − | 13.7031i | 0.390244 | − | 0.675923i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.57848 | + | 1.32450i | −0.0776718 | + | 0.0651744i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.802166 | + | 4.54931i | 0.0393768 | + | 0.223317i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −15.4757 | −0.757846 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −4.57903 | −0.223700 | −0.111850 | − | 0.993725i | \(-0.535678\pi\) | ||||
−0.111850 | + | 0.993725i | \(0.535678\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.0482857 | + | 0.273842i | 0.00235330 | + | 0.0133462i | 0.985962 | − | 0.166971i | \(-0.0533987\pi\) |
−0.983608 | + | 0.180317i | \(0.942288\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.72668 | − | 3.12706i | 0.181197 | − | 0.152043i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.00387 | − | 6.93491i | 0.194216 | − | 0.336392i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.7601 | + | 3.91636i | −0.520718 | + | 0.189526i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.52481 | − | 2.64106i | −0.0736188 | − | 0.127511i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.08079 | − | 11.8007i | 0.100228 | − | 0.568421i | −0.892792 | − | 0.450470i | \(-0.851256\pi\) |
0.993019 | − | 0.117951i | \(-0.0376325\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −22.3286 | − | 18.7359i | −1.07305 | − | 0.900392i | −0.0777205 | − | 0.996975i | \(-0.524764\pi\) |
−0.995325 | + | 0.0965831i | \(0.969209\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −10.4782 | − | 3.81374i | −0.502390 | − | 0.182855i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.00387 | − | 3.26189i | 0.191531 | − | 0.156038i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.91787 | + | 2.15393i | 0.282445 | + | 0.102801i | 0.479358 | − | 0.877619i | \(-0.340870\pi\) |
−0.196913 | + | 0.980421i | \(0.563092\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.71167 | − | 3.11446i | −0.176746 | − | 0.148308i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.62583 | + | 20.5631i | −0.172268 | + | 0.976982i | 0.768981 | + | 0.639271i | \(0.220764\pi\) |
−0.941250 | + | 0.337711i | \(0.890347\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.35251 | + | 12.7349i | 0.348542 | + | 0.603693i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.09240 | − | 0.761570i | 0.0989669 | − | 0.0360210i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −20.6878 | + | 35.8323i | −0.976317 | + | 1.69103i | −0.300798 | + | 0.953688i | \(0.597253\pi\) |
−0.675519 | + | 0.737343i | \(0.736080\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.78564 | + | 7.37203i | −0.413700 | + | 0.347135i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.14543 | + | 6.49605i | 0.0538170 | + | 0.305211i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −4.47659 | −0.209866 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −27.6245 | −1.29222 | −0.646111 | − | 0.763244i | \(-0.723606\pi\) | ||||
−0.646111 | + | 0.763244i | \(0.723606\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.386659 | − | 2.19285i | −0.0180477 | − | 0.102354i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.1800 | + | 11.8985i | −0.660431 | + | 0.554167i | −0.910216 | − | 0.414134i | \(-0.864084\pi\) |
0.249785 | + | 0.968301i | \(0.419640\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.80928 | + | 3.13376i | −0.0840843 | + | 0.145638i | −0.905001 | − | 0.425410i | \(-0.860130\pi\) |
0.820916 | + | 0.571048i | \(0.193463\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −8.82770 | + | 3.21302i | −0.409375 | + | 0.149000i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −7.20099 | − | 12.4725i | −0.333222 | − | 0.577158i | 0.649920 | − | 0.760003i | \(-0.274803\pi\) |
−0.983142 | + | 0.182845i | \(0.941469\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.22193 | + | 12.6012i | −0.102599 | + | 0.581870i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −7.08899 | − | 5.94837i | −0.326644 | − | 0.274086i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 8.07057 | + | 2.93745i | 0.371085 | + | 0.135064i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −14.6511 | − | 5.57445i | −0.672239 | − | 0.255773i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.36571 | + | 0.497079i | 0.0625318 | + | 0.0227597i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 24.4029 | + | 20.4764i | 1.11499 | + | 0.935592i | 0.998341 | − | 0.0575808i | \(-0.0183387\pi\) |
0.116654 | + | 0.993173i | \(0.462783\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0286853 | + | 0.162683i | −0.00130794 | + | 0.00741768i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.869585 | − | 1.50617i | −0.0395675 | − | 0.0685329i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 14.3782 | − | 5.23324i | 0.652881 | − | 0.237629i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.87346 | + | 17.1013i | −0.447409 | + | 0.774935i | −0.998217 | − | 0.0596972i | \(-0.980986\pi\) |
0.550808 | + | 0.834632i | \(0.314320\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −2.40554 | + | 2.01849i | −0.108782 | + | 0.0912793i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 5.06758 | + | 28.7397i | 0.228697 | + | 1.29700i | 0.855491 | + | 0.517818i | \(0.173256\pi\) |
−0.626794 | + | 0.779185i | \(0.715633\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 20.9564 | 0.943827 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.40373 | 0.0630931 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.73127 | − | 21.1611i | −0.167370 | − | 0.949204i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.12449 | − | 3.46085i | 0.184637 | − | 0.154929i | −0.545784 | − | 0.837926i | \(-0.683768\pi\) |
0.730421 | + | 0.682997i | \(0.239324\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −7.93629 | + | 13.7461i | −0.354567 | + | 0.614128i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.1040 | − | 8.40917i | 1.03016 | − | 0.374946i | 0.229016 | − | 0.973423i | \(-0.426449\pi\) |
0.801141 | + | 0.598476i | \(0.204227\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.13903 | + | 14.0972i | 0.362182 | + | 0.627318i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.10694 | − | 6.27779i | 0.0491611 | − | 0.278807i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.64362 | − | 3.05736i | −0.161501 | − | 0.135515i | 0.558456 | − | 0.829534i | \(-0.311394\pi\) |
−0.719957 | + | 0.694019i | \(0.755838\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.02094 | − | 3.28336i | −0.399063 | − | 0.145247i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.11721 | + | 1.43128i | −0.181779 | + | 0.0631927i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −19.0783 | − | 6.94394i | −0.840691 | − | 0.305987i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.41534 | − | 3.70491i | −0.194187 | − | 0.162942i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.601014 | + | 3.40852i | −0.0263816 | + | 0.149618i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 14.8145 | + | 25.6595i | 0.649035 | + | 1.12416i | 0.983354 | + | 0.181701i | \(0.0581603\pi\) |
−0.334319 | + | 0.942460i | \(0.608506\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.0890 | + | 3.67209i | −0.441161 | + | 0.160569i | −0.553044 | − | 0.833152i | \(-0.686534\pi\) |
0.111883 | + | 0.993721i | \(0.464312\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.63950 | + | 4.57175i | −0.115197 | + | 0.199527i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 13.5248 | − | 11.3487i | 0.589150 | − | 0.494356i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.75015 | − | 21.2682i | −0.163050 | − | 0.924703i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.40373 | −0.0609168 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 24.9162 | 1.07924 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.16085 | − | 12.2548i | −0.0934219 | − | 0.529822i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.482926 | + | 0.405223i | −0.0208398 | + | 0.0174867i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.87030 | + | 4.97151i | −0.123633 | + | 0.214138i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −27.8209 | + | 10.1260i | −1.19611 | + | 0.435350i | −0.861866 | − | 0.507136i | \(-0.830704\pi\) |
−0.334247 | + | 0.942485i | \(0.608482\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −5.89440 | − | 10.2094i | −0.252953 | − | 0.438127i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.65451 | − | 9.38322i | 0.0708716 | − | 0.401933i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.2365 | − | 8.58943i | −0.437680 | − | 0.367257i | 0.397160 | − | 0.917749i | \(-0.369996\pi\) |
−0.834841 | + | 0.550492i | \(0.814440\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −7.33022 | − | 2.66798i | −0.312846 | − | 0.113867i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.53714 | − | 40.4995i | −0.278492 | − | 1.72534i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17.7964 | + | 6.47735i | 0.756779 | + | 0.275445i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.0582480 | − | 0.0488759i | −0.00247249 | − | 0.00207466i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.589403 | + | 3.34267i | −0.0249738 | + | 0.141634i | −0.994745 | − | 0.102382i | \(-0.967354\pi\) |
0.969771 | + | 0.244015i | \(0.0784647\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.32934 | − | 16.1589i | −0.394589 | − | 0.683449i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.47906 | + | 0.902302i | −0.104666 | + | 0.0380952i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −20.7724 | + | 35.9789i | −0.875454 | + | 1.51633i | −0.0191757 | + | 0.999816i | \(0.506104\pi\) |
−0.856278 | + | 0.516515i | \(0.827229\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 17.3726 | − | 14.5773i | 0.730870 | − | 0.613273i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.254900 | + | 1.44561i | 0.0107048 | + | 0.0607099i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.17705 | 0.0912668 | 0.0456334 | − | 0.998958i | \(-0.485469\pi\) | ||||
0.0456334 | + | 0.998958i | \(0.485469\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.50980 | 0.105032 | 0.0525159 | − | 0.998620i | \(-0.483276\pi\) | ||||
0.0525159 | + | 0.998620i | \(0.483276\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.98293 | + | 11.2457i | 0.0828379 | + | 0.469797i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.26399 | − | 2.73881i | 0.136118 | − | 0.114216i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.75537 | + | 9.96859i | −0.239599 | + | 0.414998i | −0.960599 | − | 0.277937i | \(-0.910349\pi\) |
0.721000 | + | 0.692935i | \(0.243683\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 8.91787 | − | 3.24584i | 0.370614 | − | 0.134892i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.86168 | + | 4.95658i | 0.118723 | + | 0.205634i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.299011 | − | 1.69577i | 0.0123838 | − | 0.0702318i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.33615 | − | 1.96026i | −0.0965880 | − | 0.0810470i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 15.6887 | + | 5.71021i | 0.647540 | + | 0.235685i | 0.644848 | − | 0.764311i | \(-0.276921\pi\) |
0.00269254 | + | 0.999996i | \(0.499143\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −26.1509 | − | 22.5974i | −1.07753 | − | 0.931111i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.70486 | + | 2.44037i | 0.275801 | + | 0.100383i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 34.1544 | + | 28.6589i | 1.40255 | + | 1.17688i | 0.959953 | + | 0.280160i | \(0.0903875\pi\) |
0.442598 | + | 0.896720i | \(0.354057\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.672466 | + | 3.81374i | −0.0275684 | + | 0.156348i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.87598 | + | 15.3737i | 0.363270 | + | 0.629202i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.99912 | + | 2.91144i | −0.326835 | + | 0.118958i | −0.500226 | − | 0.865895i | \(-0.666750\pi\) |
0.173391 | + | 0.984853i | \(0.444528\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.7613 | + | 29.0314i | −0.683708 | + | 1.18422i | 0.290134 | + | 0.956986i | \(0.406300\pi\) |
−0.973841 | + | 0.227230i | \(0.927033\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.67752 | + | 5.60310i | −0.271930 | + | 0.228176i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.97431 | + | 11.1969i | 0.0802670 | + | 0.455217i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.89393 | −0.0768724 | −0.0384362 | − | 0.999261i | \(-0.512238\pi\) | ||||
−0.0384362 | + | 0.999261i | \(0.512238\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −13.8152 | −0.559820 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.17442 | + | 12.3317i | 0.0879676 | + | 0.498889i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.50799 | − | 5.46085i | 0.262855 | − | 0.220562i | −0.501829 | − | 0.864967i | \(-0.667339\pi\) |
0.764684 | + | 0.644405i | \(0.222895\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.73442 | + | 9.93231i | −0.231234 | + | 0.400509i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 26.4688 | − | 9.63387i | 1.06560 | − | 0.387845i | 0.251068 | − | 0.967970i | \(-0.419218\pi\) |
0.814528 | + | 0.580124i | \(0.196996\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.4483 | − | 19.8291i | −0.460146 | − | 0.796997i | 0.538821 | − | 0.842420i | \(-0.318870\pi\) |
−0.998968 | + | 0.0454230i | \(0.985536\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.205737 | − | 1.16679i | 0.00825594 | − | 0.0468218i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 13.9565 | + | 11.7109i | 0.559156 | + | 0.469188i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.55778 | − | 2.02287i | −0.222311 | − | 0.0809147i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.51707 | + | 4.50946i | 0.100522 | + | 0.180091i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.134285 | + | 0.0488759i | 0.00535431 | + | 0.00194881i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.8883 | + | 20.8838i | 0.990788 | + | 0.831370i | 0.985682 | − | 0.168617i | \(-0.0539302\pi\) |
0.00510629 | + | 0.999987i | \(0.498375\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.375515 | − | 2.12965i | 0.0149254 | − | 0.0846460i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −4.31046 | − | 7.46594i | −0.171055 | − | 0.296277i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.7194 | − | 4.26552i | 0.464340 | − | 0.169006i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 7.31908 | − | 12.6770i | 0.289538 | − | 0.501495i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.67159 | − | 4.75903i | 0.224014 | − | 0.187970i | −0.523872 | − | 0.851797i | \(-0.675513\pi\) |
0.747887 | + | 0.663826i | \(0.231069\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.38847 | + | 41.9021i | 0.291373 | + | 1.65246i | 0.681590 | + | 0.731734i | \(0.261289\pi\) |
−0.390217 | + | 0.920723i | \(0.627600\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.58853 | 0.338173 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 41.2063 | 1.61999 | 0.809993 | − | 0.586440i | \(-0.199471\pi\) | ||||
0.809993 | + | 0.586440i | \(0.199471\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.288800 | + | 1.63787i | 0.0113364 | + | 0.0642919i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.91606 | + | 7.48146i | −0.349448 | + | 0.293222i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 13.3353 | − | 23.0974i | 0.521850 | − | 0.903870i | −0.477827 | − | 0.878454i | \(-0.658576\pi\) |
0.999677 | − | 0.0254163i | \(-0.00809113\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.68092 | − | 2.79563i | 0.300118 | − | 0.109234i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −3.26991 | − | 5.66366i | −0.127572 | − | 0.220960i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.18567 | − | 12.3955i | 0.0851416 | − | 0.482862i | −0.912184 | − | 0.409780i | \(-0.865605\pi\) |
0.997326 | − | 0.0730819i | \(-0.0232835\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.35432 | + | 5.33191i | 0.247154 | + | 0.207387i | 0.757946 | − | 0.652317i | \(-0.226203\pi\) |
−0.510791 | + | 0.859705i | \(0.670648\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 5.38578 | + | 1.96026i | 0.209166 | + | 0.0761304i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 7.58007 | + | 0.109920i | 0.293943 | + | 0.00426253i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 10.4782 | + | 3.81374i | 0.405717 | + | 0.147669i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −21.6446 | − | 18.1619i | −0.836827 | − | 0.702181i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.60488 | + | 9.10175i | −0.0619559 | + | 0.351369i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.812681 | − | 1.40761i | −0.0313266 | − | 0.0542592i | 0.849937 | − | 0.526884i | \(-0.176640\pi\) |
−0.881264 | + | 0.472625i | \(0.843307\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.37939 | + | 1.23000i | −0.130073 | + | 0.0473426i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.64203 | − | 11.5043i | 0.255274 | − | 0.442147i | −0.709696 | − | 0.704508i | \(-0.751168\pi\) |
0.964970 | + | 0.262361i | \(0.0845011\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.5221 | − | 12.1855i | 0.557308 | − | 0.467637i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.65064 | − | 20.7038i | −0.139893 | − | 0.793373i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.90673 | −0.111223 | −0.0556114 | − | 0.998452i | \(-0.517711\pi\) | ||||
−0.0556114 | + | 0.998452i | \(0.517711\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −18.7469 | −0.716283 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.38238 | − | 7.83986i | −0.0527410 | − | 0.299109i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.86571 | + | 2.40462i | −0.109175 | + | 0.0916087i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.18004 | + | 12.4362i | −0.273142 | + | 0.473095i | −0.969665 | − | 0.244439i | \(-0.921396\pi\) |
0.696523 | + | 0.717535i | \(0.254729\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.63429 | − | 0.594831i | 0.0620814 | − | 0.0225958i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 9.16772 | + | 15.8790i | 0.347751 | + | 0.602323i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.74288 | − | 21.2269i | 0.141772 | − | 0.804027i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.2515 | − | 9.44113i | −0.425571 | − | 0.357096i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −45.7195 | − | 16.6405i | −1.72680 | − | 0.628504i | −0.728406 | − | 0.685146i | \(-0.759738\pi\) |
−0.998395 | + | 0.0566421i | \(0.981961\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.0525666 | − | 0.274761i | 0.00198259 | − | 0.0103628i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −5.41622 | − | 1.97134i | −0.203987 | − | 0.0742451i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 15.4495 | + | 12.9637i | 0.581038 | + | 0.487549i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.69207 | + | 9.59619i | −0.0635469 | + | 0.360392i | 0.936408 | + | 0.350913i | \(0.114129\pi\) |
−0.999955 | + | 0.00947962i | \(0.996982\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.45084 | + | 11.1732i | 0.241925 | + | 0.419027i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 8.82770 | − | 3.21302i | 0.330600 | − | 0.120328i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.80659 | + | 3.12910i | −0.0675626 | + | 0.117022i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 12.0496 | − | 10.1108i | 0.450002 | − | 0.377596i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −0.841777 | − | 4.77396i | −0.0313930 | − | 0.178038i | 0.965080 | − | 0.261957i | \(-0.0843677\pi\) |
−0.996473 | + | 0.0839181i | \(0.973257\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −25.1543 | −0.936794 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −9.85204 | −0.366401 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −5.87733 | − | 33.3320i | −0.218278 | − | 1.23792i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.8714 | − | 9.12218i | 0.403198 | − | 0.338323i | −0.418530 | − | 0.908203i | \(-0.637455\pi\) |
0.821728 | + | 0.569880i | \(0.193010\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −15.1677 | + | 5.52060i | −0.560998 | + | 0.204187i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.31908 | − | 9.21291i | −0.196465 | − | 0.340287i | 0.750915 | − | 0.660399i | \(-0.229613\pi\) |
−0.947380 | + | 0.320112i | \(0.896279\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.996845 | + | 5.65339i | −0.0367692 | + | 0.208528i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 7.91147 | + | 6.63852i | 0.291423 | + | 0.244533i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −25.9368 | − | 9.44021i | −0.954099 | − | 0.347264i | −0.182381 | − | 0.983228i | \(-0.558380\pi\) |
−0.771718 | + | 0.635964i | \(0.780603\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.10829 | − | 11.0198i | 0.0774499 | − | 0.404824i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.13816 | + | 0.414255i | 0.0417549 | + | 0.0151975i | 0.362813 | − | 0.931862i | \(-0.381816\pi\) |
−0.321058 | + | 0.947059i | \(0.604039\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.02094 | − | 1.69577i | −0.0740417 | − | 0.0621283i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.677052 | + | 3.83975i | −0.0247720 | + | 0.140489i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.70873 | − | 13.3519i | −0.281671 | − | 0.487868i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 46.0925 | − | 16.7763i | 1.68194 | − | 0.612175i | 0.688364 | − | 0.725365i | \(-0.258329\pi\) |
0.993573 | + | 0.113190i | \(0.0361069\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.31134 | + | 4.00335i | −0.0842298 | + | 0.145890i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 5.98680 | − | 5.02352i | 0.217882 | − | 0.182825i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.26445 | + | 35.5275i | 0.227685 | + | 1.29127i | 0.857484 | + | 0.514510i | \(0.172026\pi\) |
−0.629799 | + | 0.776758i | \(0.716863\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.40373 | −0.0509523 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.72193 | 0.171170 | 0.0855850 | − | 0.996331i | \(-0.472724\pi\) | ||||
0.0855850 | + | 0.996331i | \(0.472724\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.04988 | − | 11.6254i | −0.0742106 | − | 0.420869i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.02094 | + | 1.69577i | −0.0730674 | + | 0.0613108i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.80659 | − | 3.12910i | 0.0652322 | − | 0.112985i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.3893 | + | 7.42112i | −0.735259 | + | 0.267612i | −0.682389 | − | 0.730989i | \(-0.739059\pi\) |
−0.0528696 | + | 0.998601i | \(0.516837\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.50862 | − | 2.61300i | −0.0543316 | − | 0.0941050i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 7.65611 | − | 43.4199i | 0.275371 | − | 1.56171i | −0.462410 | − | 0.886666i | \(-0.653015\pi\) |
0.737781 | − | 0.675040i | \(-0.235874\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −21.8436 | − | 18.3290i | −0.784647 | − | 0.658397i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.0885259 | − | 0.0322208i | −0.00317585 | − | 0.00115591i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −42.1899 | − | 0.611806i | −1.51161 | − | 0.0219202i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.2973 | − | 5.93172i | −0.583162 | − | 0.212253i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −7.20961 | − | 6.04958i | −0.257650 | − | 0.216194i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.90390 | + | 10.7975i | −0.0679529 | + | 0.385380i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.0694 | − | 17.4407i | −0.358935 | − | 0.621694i | 0.628848 | − | 0.777528i | \(-0.283527\pi\) |
−0.987783 | + | 0.155834i | \(0.950193\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 4.70574 | − | 1.71275i | 0.167529 | − | 0.0609755i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 14.0488 | − | 24.3332i | 0.499516 | − | 0.865187i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.3812 | − | 12.9064i | 0.546202 | − | 0.458318i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.299011 | − | 1.69577i | −0.0106048 | − | 0.0601429i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 12.0729 | 0.427642 | 0.213821 | − | 0.976873i | \(-0.431409\pi\) | ||||
0.213821 | + | 0.976873i | \(0.431409\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.8324 | 0.383224 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.15523 | + | 12.2229i | 0.0761513 | + | 0.431875i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −5.93557 | + | 4.98054i | −0.209462 | + | 0.175759i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.03028 | + | 1.78449i | −0.0363125 | + | 0.0628951i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −23.1040 | + | 8.40917i | −0.813300 | + | 0.296017i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 19.4868 | + | 33.7521i | 0.685119 | + | 1.18666i | 0.973399 | + | 0.229115i | \(0.0735833\pi\) |
−0.288280 | + | 0.957546i | \(0.593083\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.71641 | − | 21.0768i | 0.130501 | − | 0.740108i | −0.847387 | − | 0.530976i | \(-0.821825\pi\) |
0.977888 | − | 0.209131i | \(-0.0670636\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.28699 | − | 1.07991i | −0.0451367 | − | 0.0378742i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 3.49613 | + | 1.27249i | 0.122464 | + | 0.0445733i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 15.4003 | + | 27.5905i | 0.538789 | + | 0.965268i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −3.55051 | − | 1.29228i | −0.124065 | − | 0.0451559i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 37.4564 | + | 31.4296i | 1.30724 | + | 1.09690i | 0.988846 | + | 0.148941i | \(0.0475865\pi\) |
0.318390 | + | 0.947960i | \(0.396858\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.20217 | − | 29.5030i | 0.181336 | − | 1.02841i | −0.749237 | − | 0.662302i | \(-0.769579\pi\) |
0.930573 | − | 0.366107i | \(-0.119310\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.13041 | + | 3.68999i | 0.0741715 | + | 0.128469i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.7601 | + | 7.92003i | −0.756673 | + | 0.275407i | −0.691411 | − | 0.722462i | \(-0.743011\pi\) |
−0.0652623 | + | 0.997868i | \(0.520788\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.4290 | + | 26.7238i | −0.535872 | + | 0.928157i | 0.463249 | + | 0.886228i | \(0.346684\pi\) |
−0.999121 | + | 0.0419290i | \(0.986650\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 22.9670 | − | 19.2716i | 0.796718 | − | 0.668525i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.87346 | − | 10.6249i | −0.0649114 | − | 0.368131i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.8057 | 0.650798 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −7.92902 | −0.274067 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.95707 | − | 11.0991i | −0.0675656 | − | 0.383184i | −0.999774 | − | 0.0212615i | \(-0.993232\pi\) |
0.932208 | − | 0.361922i | \(-0.117879\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 45.6377 | − | 38.2946i | 1.57372 | − | 1.32050i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 8.80587 | − | 15.2522i | 0.303290 | − | 0.525314i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −7.09714 | + | 2.58315i | −0.244149 | + | 0.0888630i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.04323 | + | 12.1992i | 0.242008 | + | 0.419171i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2.76352 | − | 15.6727i | 0.0948437 | − | 0.537885i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.0582480 | + | 0.0488759i | 0.00199672 | + | 0.00167544i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 18.4338 | + | 6.70934i | 0.631160 | + | 0.229723i | 0.637736 | − | 0.770255i | \(-0.279871\pi\) |
−0.00657610 | + | 0.999978i | \(0.502093\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.90760 | + | 3.37662i | 0.133637 | + | 0.115478i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −21.7707 | − | 7.92388i | −0.743672 | − | 0.270675i | −0.0577318 | − | 0.998332i | \(-0.518387\pi\) |
−0.685941 | + | 0.727657i | \(0.740609\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.85529 | − | 1.55677i | −0.0633015 | − | 0.0531163i | 0.610588 | − | 0.791948i | \(-0.290933\pi\) |
−0.673889 | + | 0.738832i | \(0.735378\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.46744 | + | 13.9936i | −0.0840903 | + | 0.476900i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −8.33615 | − | 14.4386i | −0.283766 | − | 0.491497i | 0.688543 | − | 0.725195i | \(-0.258251\pi\) |
−0.972309 | + | 0.233698i | \(0.924917\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.85339 | − | 1.40252i | 0.131019 | − | 0.0476871i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.02094 | + | 10.4286i | −0.204482 | + | 0.354173i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.7096 | − | 9.82553i | 0.397221 | − | 0.333308i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.89615 | − | 22.0962i | −0.132016 | − | 0.748701i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 12.9145 | 0.437088 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 14.9504 | 0.505415 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −6.63294 | − | 37.6173i | −0.223979 | − | 1.27025i | −0.864628 | − | 0.502412i | \(-0.832446\pi\) |
0.640650 | − | 0.767833i | \(-0.278665\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.205737 | + | 0.172634i | −0.00693934 | + | 0.00582280i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 11.7592 | − | 20.3676i | 0.396179 | − | 0.686202i | −0.597072 | − | 0.802188i | \(-0.703669\pi\) |
0.993251 | + | 0.115986i | \(0.0370027\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −17.3042 | + | 6.29822i | −0.582334 | + | 0.211952i | −0.616354 | − | 0.787469i | \(-0.711391\pi\) |
0.0340206 | + | 0.999421i | \(0.489169\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.831566 | + | 1.44032i | 0.0279528 | + | 0.0484157i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 4.78317 | − | 27.1267i | 0.160603 | − | 0.910827i | −0.792879 | − | 0.609379i | \(-0.791419\pi\) |
0.953483 | − | 0.301448i | \(-0.0974699\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.18210 | − | 6.86560i | −0.274419 | − | 0.230265i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.11334 | + | 0.405223i | 0.0372983 | + | 0.0135755i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3.37908 | − | 20.9344i | −0.113077 | − | 0.700542i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.701867 | + | 0.255459i | 0.0234608 | + | 0.00853904i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2.33615 | + | 1.96026i | 0.0780018 | + | 0.0654513i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 12.9583 | − | 73.4900i | 0.432183 | − | 2.45103i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.61809 | + | 2.80261i | 0.0539063 | + | 0.0933685i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.99912 | − | 3.63938i | 0.332750 | − | 0.121111i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −6.98364 | + | 12.0960i | −0.232144 | + | 0.402085i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.9559 | + | 13.3886i | −0.529807 | + | 0.444561i | −0.868035 | − | 0.496504i | \(-0.834617\pi\) |
0.338228 | + | 0.941064i | \(0.390172\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 2.38578 | + | 13.5304i | 0.0791314 | + | 0.448776i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −13.7300 | −0.454895 | −0.227448 | − | 0.973790i | \(-0.573038\pi\) | ||||
−0.227448 | + | 0.973790i | \(0.573038\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.61949 | 0.152883 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.60488 | + | 9.10175i | 0.0530559 | + | 0.300895i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.75781 | − | 6.50957i | 0.256185 | − | 0.214965i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.2245 | + | 38.4939i | −0.733117 | + | 1.26980i | 0.222427 | + | 0.974949i | \(0.428602\pi\) |
−0.955544 | + | 0.294847i | \(0.904731\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.536837 | − | 0.195393i | 0.0176894 | − | 0.00643840i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 18.8391 | + | 32.6304i | 0.620098 | + | 1.07404i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.0400781 | − | 0.227294i | 0.00131776 | − | 0.00747338i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −13.1270 | − | 11.0149i | −0.431148 | − | 0.361776i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −9.12866 | − | 3.32256i | −0.299502 | − | 0.109010i | 0.187898 | − | 0.982188i | \(-0.439832\pi\) |
−0.487400 | + | 0.873179i | \(0.662055\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −19.9489 | + | 6.93491i | −0.653798 | + | 0.227282i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.4868 | − | 4.90879i | −0.441538 | − | 0.160707i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.39440 | + | 2.00914i | 0.0783053 | + | 0.0657059i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.98808 | + | 11.2750i | −0.0649479 | + | 0.368338i | 0.934960 | + | 0.354754i | \(0.115435\pi\) |
−0.999908 | + | 0.0135842i | \(0.995676\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.20187 | − | 2.08169i | −0.0392214 | − | 0.0679335i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −42.3546 | + | 15.4158i | −1.38072 | + | 0.502541i | −0.922397 | − | 0.386243i | \(-0.873772\pi\) |
−0.458324 | + | 0.888785i | \(0.651550\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.73442 | − | 9.93231i | 0.186738 | − | 0.323441i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.33228 | − | 1.11792i | 0.0433391 | − | 0.0363658i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.66014 | − | 43.4428i | −0.248921 | − | 1.41170i | −0.811207 | − | 0.584759i | \(-0.801189\pi\) |
0.562286 | − | 0.826943i | \(-0.309922\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 16.8334 | 0.546435 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.0574 | −0.455841 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0.318201 | + | 1.80460i | 0.0103075 | + | 0.0584569i | 0.989528 | − | 0.144343i | \(-0.0461069\pi\) |
−0.979220 | + | 0.202800i | \(0.934996\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.3641 | − | 8.69653i | 0.335375 | − | 0.281413i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −5.57532 | + | 9.65674i | −0.180225 | + | 0.312158i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −21.8259 | + | 7.94399i | −0.704796 | + | 0.256525i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.9346 | − | 27.5996i | −0.514021 | − | 0.890310i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1.82383 | − | 10.3434i | 0.0587720 | − | 0.333312i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −8.61334 | − | 7.22745i | −0.277273 | − | 0.232660i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.4941 | + | 5.63938i | 0.498256 | + | 0.181350i | 0.578909 | − | 0.815392i | \(-0.303479\pi\) |
−0.0806536 | + | 0.996742i | \(0.525701\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −9.07145 | − | 3.45150i | −0.291417 | − | 0.110878i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 41.8803 | + | 15.2432i | 1.34400 | + | 0.489177i | 0.911071 | − | 0.412249i | \(-0.135257\pi\) |
0.432932 | + | 0.901426i | \(0.357479\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 17.4021 | + | 14.6021i | 0.557887 | + | 0.468123i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.60741 | − | 9.11608i | 0.0514784 | − | 0.291948i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −15.7049 | − | 27.2016i | −0.502443 | − | 0.870257i | −0.999996 | − | 0.00282321i | \(-0.999101\pi\) |
0.497553 | − | 0.867434i | \(-0.334232\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 13.8182 | − | 5.02941i | 0.441632 | − | 0.160741i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.02094 | − | 6.96448i | 0.128379 | − | 0.222359i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 22.2592 | − | 18.6777i | 0.709959 | − | 0.595727i | −0.214628 | − | 0.976696i | \(-0.568854\pi\) |
0.924588 | + | 0.380969i | \(0.124410\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.46797 | − | 8.32526i | −0.0467733 | − | 0.265265i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −7.14115 | −0.227305 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.58853 | −0.273099 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.686137 | − | 3.89127i | −0.0217959 | − | 0.123610i | 0.971969 | − | 0.235111i | \(-0.0755454\pi\) |
−0.993764 | + | 0.111501i | \(0.964434\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 20.5626 | − | 17.2541i | 0.652534 | − | 0.547541i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 10.5162 | − | 18.2146i | 0.333386 | − | 0.577441i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 44.2139 | − | 16.0926i | 1.40027 | − | 0.509656i | 0.472011 | − | 0.881592i | \(-0.343528\pi\) |
0.928258 | + | 0.371936i | \(0.121306\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.0320889 | − | 0.0555796i | −0.00101525 | − | 0.00175846i |
(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 | 912.2.bo.a.289.1 | 6 | ||
4.3 | odd | 2 | 114.2.i.a.61.1 | yes | 6 | ||
12.11 | even | 2 | 342.2.u.e.289.1 | 6 | |||
19.5 | even | 9 | inner | 912.2.bo.a.385.1 | 6 | ||
76.43 | odd | 18 | 114.2.i.a.43.1 | ✓ | 6 | ||
76.47 | odd | 18 | 2166.2.a.q.1.2 | 3 | |||
76.67 | even | 18 | 2166.2.a.s.1.2 | 3 | |||
228.47 | even | 18 | 6498.2.a.br.1.2 | 3 | |||
228.119 | even | 18 | 342.2.u.e.271.1 | 6 | |||
228.143 | odd | 18 | 6498.2.a.bm.1.2 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.a.43.1 | ✓ | 6 | 76.43 | odd | 18 | ||
114.2.i.a.61.1 | yes | 6 | 4.3 | odd | 2 | ||
342.2.u.e.271.1 | 6 | 228.119 | even | 18 | |||
342.2.u.e.289.1 | 6 | 12.11 | even | 2 | |||
912.2.bo.a.289.1 | 6 | 1.1 | even | 1 | trivial | ||
912.2.bo.a.385.1 | 6 | 19.5 | even | 9 | inner | ||
2166.2.a.q.1.2 | 3 | 76.47 | odd | 18 | |||
2166.2.a.s.1.2 | 3 | 76.67 | even | 18 | |||
6498.2.a.bm.1.2 | 3 | 228.143 | odd | 18 | |||
6498.2.a.br.1.2 | 3 | 228.47 | even | 18 |