Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 568.1 | ||
Root | \(-1.37340i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.568 |
Dual form | 729.2.e.k.163.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.54193 | − | 0.925187i | −1.79742 | − | 0.654206i | −0.998615 | − | 0.0526096i | \(-0.983246\pi\) |
−0.798800 | − | 0.601596i | \(-0.794532\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.07335 | + | 3.41794i | 2.03667 | + | 1.70897i | ||||
\(5\) | −0.290407 | + | 1.64698i | −0.129874 | + | 0.736551i | 0.848419 | + | 0.529325i | \(0.177555\pi\) |
−0.978293 | + | 0.207226i | \(0.933556\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.383475 | − | 0.321774i | 0.144940 | − | 0.121619i | −0.567435 | − | 0.823418i | \(-0.692064\pi\) |
0.712375 | + | 0.701799i | \(0.247620\pi\) | |||||||
\(8\) | −4.48686 | − | 7.77147i | −1.58634 | − | 2.74763i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.26195 | − | 3.91782i | 0.715293 | − | 1.23892i | ||||
\(11\) | −0.333008 | − | 1.88858i | −0.100406 | − | 0.569429i | −0.992956 | − | 0.118482i | \(-0.962197\pi\) |
0.892550 | − | 0.450948i | \(-0.148914\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.92473 | + | 1.06452i | −0.811175 | + | 0.295243i | −0.714109 | − | 0.700034i | \(-0.753168\pi\) |
−0.0970658 | + | 0.995278i | \(0.530946\pi\) | |||||||
\(14\) | −1.27247 | + | 0.463140i | −0.340081 | + | 0.123779i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.36851 | + | 13.4325i | 0.592129 | + | 3.35813i | ||||
\(17\) | −1.33234 | + | 2.30767i | −0.323139 | + | 0.559693i | −0.981134 | − | 0.193329i | \(-0.938071\pi\) |
0.657995 | + | 0.753022i | \(0.271405\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.89832 | − | 5.02003i | −0.664920 | − | 1.15167i | −0.979307 | − | 0.202380i | \(-0.935132\pi\) |
0.314387 | − | 0.949295i | \(-0.398201\pi\) | |||||||
\(20\) | −6.81220 | + | 5.71612i | −1.52325 | + | 1.27816i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.900809 | + | 5.10874i | −0.192053 | + | 1.08919i | ||||
\(23\) | −3.55894 | − | 2.98631i | −0.742091 | − | 0.622688i | 0.191308 | − | 0.981530i | \(-0.438727\pi\) |
−0.933398 | + | 0.358842i | \(0.883172\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.07026 | + | 0.753515i | 0.414053 | + | 0.150703i | ||||
\(26\) | 8.41934 | 1.65117 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.66183 | 0.503039 | ||||||||
\(29\) | 2.45736 | + | 0.894407i | 0.456321 | + | 0.166087i | 0.559946 | − | 0.828529i | \(-0.310822\pi\) |
−0.103625 | + | 0.994616i | \(0.533044\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.53499 | − | 2.96621i | −0.634903 | − | 0.532747i | 0.267545 | − | 0.963545i | \(-0.413788\pi\) |
−0.902448 | + | 0.430798i | \(0.858232\pi\) | |||||||
\(32\) | 3.29045 | − | 18.6611i | 0.581674 | − | 3.29884i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.52173 | − | 4.63328i | 0.946969 | − | 0.794602i | ||||
\(35\) | 0.418591 | + | 0.725020i | 0.0707547 | + | 0.122551i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.42934 | − | 4.20773i | 0.399381 | − | 0.691747i | −0.594269 | − | 0.804266i | \(-0.702559\pi\) |
0.993650 | + | 0.112519i | \(0.0358919\pi\) | |||||||
\(38\) | 2.72285 | + | 15.4421i | 0.441705 | + | 2.50503i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 14.1024 | − | 5.13287i | 2.22979 | − | 0.811578i | ||||
\(41\) | 10.8517 | − | 3.94970i | 1.69475 | − | 0.616840i | 0.699543 | − | 0.714590i | \(-0.253387\pi\) |
0.995211 | + | 0.0977502i | \(0.0311646\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.56359 | − | 8.86754i | −0.238445 | − | 1.35229i | −0.835236 | − | 0.549891i | \(-0.814669\pi\) |
0.596792 | − | 0.802396i | \(-0.296442\pi\) | |||||||
\(44\) | 5.09861 | − | 8.83106i | 0.768645 | − | 1.33133i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.28369 | + | 10.8837i | 0.926479 | + | 1.60471i | ||||
\(47\) | 5.23380 | − | 4.39168i | 0.763428 | − | 0.640592i | −0.175589 | − | 0.984464i | \(-0.556183\pi\) |
0.939017 | + | 0.343872i | \(0.111738\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.17202 | + | 6.64687i | −0.167432 | + | 0.949553i | ||||
\(50\) | −4.56532 | − | 3.83076i | −0.645634 | − | 0.541752i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −15.5519 | − | 5.66043i | −2.15666 | − | 0.784960i | ||||
\(53\) | −5.43322 | −0.746309 | −0.373155 | − | 0.927769i | \(-0.621724\pi\) | ||||
−0.373155 | + | 0.927769i | \(0.621724\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.20716 | 0.432454 | ||||||||
\(56\) | −4.22125 | − | 1.53641i | −0.564089 | − | 0.205311i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.41895 | − | 4.54704i | −0.711543 | − | 0.597055i | ||||
\(59\) | −0.380517 | + | 2.15802i | −0.0495392 | + | 0.280950i | −0.999507 | − | 0.0313973i | \(-0.990004\pi\) |
0.949968 | + | 0.312348i | \(0.101115\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.24000 | − | 4.39688i | 0.670914 | − | 0.562963i | −0.242422 | − | 0.970171i | \(-0.577942\pi\) |
0.913336 | + | 0.407208i | \(0.133497\pi\) | |||||||
\(62\) | 6.24140 | + | 10.8104i | 0.792659 | + | 1.37293i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −11.9893 | + | 20.7661i | −1.49866 | + | 2.59576i | ||||
\(65\) | −0.903872 | − | 5.12611i | −0.112111 | − | 0.635816i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.7307 | + | 4.26964i | −1.43314 | + | 0.521620i | −0.937829 | − | 0.347097i | \(-0.887167\pi\) |
−0.495309 | + | 0.868717i | \(0.664945\pi\) | |||||||
\(68\) | −13.3146 | + | 4.84610i | −1.61463 | + | 0.587677i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.393249 | − | 2.23022i | −0.0470022 | − | 0.266563i | ||||
\(71\) | 1.41784 | − | 2.45578i | 0.168267 | − | 0.291447i | −0.769544 | − | 0.638594i | \(-0.779516\pi\) |
0.937811 | + | 0.347147i | \(0.112850\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.96749 | − | 8.60394i | −0.581400 | − | 1.00701i | −0.995314 | − | 0.0966986i | \(-0.969172\pi\) |
0.413913 | − | 0.910316i | \(-0.364162\pi\) | |||||||
\(74\) | −10.0681 | + | 8.44817i | −1.17040 | + | 0.982080i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.35234 | − | 30.3546i | 0.613955 | − | 3.48191i | ||||
\(77\) | −0.735397 | − | 0.617071i | −0.0838063 | − | 0.0703218i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.99091 | − | 1.81654i | −0.561521 | − | 0.204377i | 0.0456370 | − | 0.998958i | \(-0.485468\pi\) |
−0.607158 | + | 0.794581i | \(0.707690\pi\) | |||||||
\(80\) | −22.8109 | −2.55033 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −31.2385 | −3.44972 | ||||||||
\(83\) | 2.56362 | + | 0.933082i | 0.281394 | + | 0.102419i | 0.478862 | − | 0.877890i | \(-0.341050\pi\) |
−0.197468 | + | 0.980309i | \(0.563272\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.41377 | − | 2.86449i | −0.370275 | − | 0.310698i | ||||
\(86\) | −4.22960 | + | 23.9873i | −0.456090 | + | 2.58661i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −13.1829 | + | 11.0618i | −1.40530 | + | 1.17919i | ||||
\(89\) | −5.60945 | − | 9.71585i | −0.594600 | − | 1.02988i | −0.993603 | − | 0.112928i | \(-0.963977\pi\) |
0.399003 | − | 0.916950i | \(-0.369356\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.779029 | + | 1.34932i | −0.0816644 | + | 0.141447i | ||||
\(92\) | −4.28977 | − | 24.3285i | −0.447240 | − | 2.53642i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −17.3671 | + | 6.32110i | −1.79128 | + | 0.651971i | ||||
\(95\) | 9.10957 | − | 3.31561i | 0.934623 | − | 0.340175i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.19629 | − | 6.78448i | −0.121465 | − | 0.688860i | −0.983345 | − | 0.181748i | \(-0.941824\pi\) |
0.861881 | − | 0.507111i | \(-0.169287\pi\) | |||||||
\(98\) | 9.12879 | − | 15.8115i | 0.922147 | − | 1.59721i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.85743 | + | 10.1454i | 0.585743 | + | 1.01454i | ||||
\(101\) | 2.85708 | − | 2.39737i | 0.284290 | − | 0.238547i | −0.489480 | − | 0.872015i | \(-0.662813\pi\) |
0.773769 | + | 0.633467i | \(0.218369\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.33376 | − | 7.56411i | 0.131419 | − | 0.745314i | −0.845868 | − | 0.533393i | \(-0.820917\pi\) |
0.977287 | − | 0.211921i | \(-0.0679720\pi\) | |||||||
\(104\) | 21.3957 | + | 17.9531i | 2.09802 | + | 1.76045i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.8108 | + | 5.02674i | 1.34143 | + | 0.488240i | ||||
\(107\) | −10.7658 | −1.04077 | −0.520383 | − | 0.853933i | \(-0.674211\pi\) | ||||
−0.520383 | + | 0.853933i | \(0.674211\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.2298 | 1.17141 | 0.585703 | − | 0.810526i | \(-0.300819\pi\) | ||||
0.585703 | + | 0.810526i | \(0.300819\pi\) | |||||||
\(110\) | −8.15238 | − | 2.96722i | −0.777299 | − | 0.282914i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.23050 | + | 4.38891i | 0.494236 | + | 0.414713i | ||||
\(113\) | −0.337563 | + | 1.91442i | −0.0317553 | + | 0.180093i | −0.996560 | − | 0.0828742i | \(-0.973590\pi\) |
0.964805 | + | 0.262967i | \(0.0847011\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.95192 | − | 4.99425i | 0.555019 | − | 0.465717i | ||||
\(116\) | 6.95266 | + | 12.0424i | 0.645538 | + | 1.11810i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.96382 | − | 5.13349i | 0.272842 | − | 0.472576i | ||||
\(119\) | 0.231631 | + | 1.31365i | 0.0212336 | + | 0.120422i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.88076 | − | 2.50439i | 0.625524 | − | 0.227672i | ||||
\(122\) | −17.3877 | + | 6.32859i | −1.57420 | + | 0.572963i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.26091 | − | 24.1648i | −0.382641 | − | 2.17006i | ||||
\(125\) | −6.02320 | + | 10.4325i | −0.538732 | + | 0.933110i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.17217 | − | 2.03025i | −0.104013 | − | 0.180156i | 0.809322 | − | 0.587366i | \(-0.199835\pi\) |
−0.913335 | + | 0.407210i | \(0.866502\pi\) | |||||||
\(128\) | 20.6570 | − | 17.3333i | 1.82584 | − | 1.53206i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.44503 | + | 13.8665i | −0.214443 | + | 1.21617i | ||||
\(131\) | −13.1012 | − | 10.9932i | −1.14466 | − | 0.960480i | −0.145075 | − | 0.989421i | \(-0.546342\pi\) |
−0.999581 | + | 0.0289402i | \(0.990787\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.72675 | − | 0.992455i | −0.236439 | − | 0.0860568i | ||||
\(134\) | 33.7689 | 2.91719 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 23.9120 | 2.05044 | ||||||||
\(137\) | −13.0872 | − | 4.76337i | −1.11812 | − | 0.406962i | −0.284154 | − | 0.958779i | \(-0.591713\pi\) |
−0.833965 | + | 0.551817i | \(0.813935\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.06450 | + | 5.08872i | 0.514384 | + | 0.431619i | 0.862669 | − | 0.505770i | \(-0.168791\pi\) |
−0.348285 | + | 0.937389i | \(0.613236\pi\) | |||||||
\(140\) | −0.773013 | + | 4.38398i | −0.0653315 | + | 0.370514i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.87611 | + | 4.93064i | −0.493112 | + | 0.413770i | ||||
\(143\) | 2.98439 | + | 5.16911i | 0.249567 | + | 0.432263i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.18670 | + | 3.78748i | −0.181596 | + | 0.314533i | ||||
\(146\) | 4.66675 | + | 26.4665i | 0.386223 | + | 2.19038i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 24.2773 | − | 8.83622i | 1.99558 | − | 0.726333i | ||||
\(149\) | −0.684223 | + | 0.249037i | −0.0560537 | + | 0.0204019i | −0.369895 | − | 0.929074i | \(-0.620606\pi\) |
0.313841 | + | 0.949476i | \(0.398384\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.753996 | + | 4.27612i | 0.0613593 | + | 0.347986i | 0.999995 | + | 0.00307656i | \(0.000979301\pi\) |
−0.938636 | + | 0.344910i | \(0.887910\pi\) | |||||||
\(152\) | −26.0087 | + | 45.0484i | −2.10958 | + | 3.65390i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.29842 | + | 2.24893i | 0.104630 | + | 0.181224i | ||||
\(155\) | 5.91187 | − | 4.96064i | 0.474852 | − | 0.398449i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.69559 | + | 15.2874i | −0.215131 | + | 1.22007i | 0.665547 | + | 0.746356i | \(0.268198\pi\) |
−0.880679 | + | 0.473714i | \(0.842913\pi\) | |||||||
\(158\) | 11.0059 | + | 9.23504i | 0.875582 | + | 0.734700i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 29.7788 | + | 10.8386i | 2.35422 | + | 0.856865i | ||||
\(161\) | −2.32568 | −0.183289 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.49738 | 0.665566 | 0.332783 | − | 0.943003i | \(-0.392012\pi\) | ||||
0.332783 | + | 0.943003i | \(0.392012\pi\) | |||||||
\(164\) | 57.7027 | + | 21.0021i | 4.50582 | + | 1.63999i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.65327 | − | 4.74366i | −0.438779 | − | 0.368179i | ||||
\(167\) | 4.01856 | − | 22.7904i | 0.310965 | − | 1.76357i | −0.283038 | − | 0.959109i | \(-0.591342\pi\) |
0.594003 | − | 0.804463i | \(-0.297547\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.53771 | + | 2.12939i | −0.195209 | + | 0.163799i | ||||
\(170\) | 6.02737 | + | 10.4397i | 0.462278 | + | 0.800689i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 23.9397 | − | 41.4648i | 1.82539 | − | 3.16166i | ||||
\(173\) | −0.447748 | − | 2.53931i | −0.0340417 | − | 0.193060i | 0.963045 | − | 0.269342i | \(-0.0868062\pi\) |
−0.997086 | + | 0.0762821i | \(0.975695\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.03636 | − | 0.377203i | 0.0783411 | − | 0.0285138i | ||||
\(176\) | 24.5797 | − | 8.94628i | 1.85276 | − | 0.674351i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.26985 | + | 29.8868i | 0.394992 | + | 2.24011i | ||||
\(179\) | 4.44806 | − | 7.70427i | 0.332464 | − | 0.575844i | −0.650530 | − | 0.759480i | \(-0.725453\pi\) |
0.982994 | + | 0.183636i | \(0.0587867\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.95592 | − | 6.85185i | −0.294041 | − | 0.509294i | 0.680720 | − | 0.732543i | \(-0.261667\pi\) |
−0.974761 | + | 0.223250i | \(0.928334\pi\) | |||||||
\(182\) | 3.22861 | − | 2.70912i | 0.239320 | − | 0.200814i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −7.23952 | + | 41.0573i | −0.533704 | + | 3.02679i | ||||
\(185\) | 6.22455 | + | 5.22302i | 0.457638 | + | 0.384004i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.80191 | + | 1.74775i | 0.351151 | + | 0.127808i | ||||
\(188\) | 36.3296 | 2.64961 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −26.2235 | −1.90245 | ||||||||
\(191\) | 14.9386 | + | 5.43721i | 1.08092 | + | 0.393423i | 0.820250 | − | 0.572005i | \(-0.193834\pi\) |
0.260671 | + | 0.965428i | \(0.416056\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.51215 | − | 2.94704i | −0.252810 | − | 0.212133i | 0.507571 | − | 0.861610i | \(-0.330543\pi\) |
−0.760381 | + | 0.649477i | \(0.774988\pi\) | |||||||
\(194\) | −3.23603 | + | 18.3525i | −0.232334 | + | 1.31763i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −27.4927 | + | 23.0691i | −1.96376 | + | 1.64779i | ||||
\(197\) | −1.49708 | − | 2.59303i | −0.106663 | − | 0.184745i | 0.807754 | − | 0.589520i | \(-0.200683\pi\) |
−0.914416 | + | 0.404775i | \(0.867350\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.44425 | + | 12.8938i | −0.527709 | + | 0.914018i | 0.471770 | + | 0.881722i | \(0.343615\pi\) |
−0.999478 | + | 0.0322965i | \(0.989718\pi\) | |||||||
\(200\) | −3.43307 | − | 19.4699i | −0.242755 | − | 1.37673i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.48050 | + | 3.45062i | −0.667046 | + | 0.242785i | ||||
\(203\) | 1.23013 | − | 0.447732i | 0.0863385 | − | 0.0314246i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.35366 | + | 19.0196i | 0.234230 | + | 1.32838i | ||||
\(206\) | −10.3885 | + | 17.9935i | −0.723803 | + | 1.25366i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −21.2264 | − | 36.7652i | −1.47179 | − | 2.54921i | ||||
\(209\) | −8.51559 | + | 7.14543i | −0.589036 | + | 0.494260i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.41006 | − | 13.6681i | 0.165915 | − | 0.940951i | −0.782201 | − | 0.623026i | \(-0.785903\pi\) |
0.948116 | − | 0.317925i | \(-0.102986\pi\) | |||||||
\(212\) | −22.1314 | − | 18.5704i | −1.51999 | − | 1.27542i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 27.3658 | + | 9.96034i | 1.87069 | + | 0.680874i | ||||
\(215\) | 15.0587 | 1.02700 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.31003 | −0.156815 | ||||||||
\(218\) | −31.0874 | − | 11.3149i | −2.10550 | − | 0.766340i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 13.0639 | + | 10.9619i | 0.880767 | + | 0.739051i | ||||
\(221\) | 1.44017 | − | 8.16762i | 0.0968764 | − | 0.549414i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.21828 | + | 4.37866i | −0.349442 | + | 0.293216i | −0.800566 | − | 0.599245i | \(-0.795468\pi\) |
0.451124 | + | 0.892461i | \(0.351023\pi\) | |||||||
\(224\) | −4.74283 | − | 8.21483i | −0.316894 | − | 0.548876i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.62925 | − | 4.55400i | 0.174895 | − | 0.302928i | ||||
\(227\) | −1.69148 | − | 9.59286i | −0.112267 | − | 0.636700i | −0.988067 | − | 0.154025i | \(-0.950776\pi\) |
0.875799 | − | 0.482675i | \(-0.160335\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.1978 | − | 4.80362i | 0.872138 | − | 0.317432i | 0.133105 | − | 0.991102i | \(-0.457505\pi\) |
0.739032 | + | 0.673670i | \(0.235283\pi\) | |||||||
\(230\) | −19.7500 | + | 7.18840i | −1.30227 | + | 0.473989i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.07498 | − | 23.1104i | −0.267536 | − | 1.51727i | ||||
\(233\) | −2.66167 | + | 4.61014i | −0.174372 | + | 0.302020i | −0.939944 | − | 0.341330i | \(-0.889123\pi\) |
0.765572 | + | 0.643350i | \(0.222456\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.71307 | + | 9.89532i | 0.372679 | + | 0.645499i | ||||
\(236\) | −8.92597 | + | 7.48978i | −0.581031 | + | 0.487543i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.626578 | − | 3.55350i | 0.0406150 | − | 0.230339i | ||||
\(239\) | 13.6153 | + | 11.4246i | 0.880700 | + | 0.738995i | 0.966323 | − | 0.257332i | \(-0.0828435\pi\) |
−0.0856227 | + | 0.996328i | \(0.527288\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.88577 | + | 0.686364i | 0.121473 | + | 0.0442126i | 0.402041 | − | 0.915621i | \(-0.368301\pi\) |
−0.280568 | + | 0.959834i | \(0.590523\pi\) | |||||||
\(242\) | −19.8075 | −1.27327 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 36.3726 | 2.32852 | ||||||||
\(245\) | −10.6069 | − | 3.86059i | −0.677649 | − | 0.246644i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 13.8207 | + | 11.5970i | 0.879391 | + | 0.737896i | ||||
\(248\) | −7.19080 | + | 40.7810i | −0.456616 | + | 2.58960i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 24.9626 | − | 20.9461i | 1.57877 | − | 1.32475i | ||||
\(251\) | −11.7822 | − | 20.4073i | −0.743683 | − | 1.28810i | −0.950808 | − | 0.309782i | \(-0.899744\pi\) |
0.207125 | − | 0.978314i | \(-0.433589\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.45473 | + | 7.71582i | −0.280067 | + | 0.485090i | ||||
\(254\) | 1.10120 | + | 6.24523i | 0.0690956 | + | 0.391860i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −23.4802 | + | 8.54611i | −1.46751 | + | 0.534132i | ||||
\(257\) | −5.52029 | + | 2.00922i | −0.344346 | + | 0.125332i | −0.508403 | − | 0.861119i | \(-0.669764\pi\) |
0.164057 | + | 0.986451i | \(0.447542\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.422349 | − | 2.39526i | −0.0262435 | − | 0.148834i | ||||
\(260\) | 13.8390 | − | 23.9698i | 0.858257 | − | 1.48654i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 23.1315 | + | 40.0650i | 1.42907 | + | 2.47522i | ||||
\(263\) | 16.8362 | − | 14.1273i | 1.03817 | − | 0.871125i | 0.0463663 | − | 0.998925i | \(-0.485236\pi\) |
0.991800 | + | 0.127800i | \(0.0407914\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.57784 | − | 8.94838i | 0.0969260 | − | 0.549695i | ||||
\(266\) | 6.01300 | + | 5.04550i | 0.368680 | + | 0.309360i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −62.3768 | − | 22.7033i | −3.81027 | − | 1.38682i | ||||
\(269\) | −30.6026 | −1.86587 | −0.932937 | − | 0.360041i | \(-0.882763\pi\) | ||||
−0.932937 | + | 0.360041i | \(0.882763\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.0823 | −0.976928 | −0.488464 | − | 0.872584i | \(-0.662443\pi\) | ||||
−0.488464 | + | 0.872584i | \(0.662443\pi\) | |||||||
\(272\) | −34.1535 | − | 12.4309i | −2.07086 | − | 0.753732i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 28.8599 | + | 24.2163i | 1.74349 | + | 1.46296i | ||||
\(275\) | 0.733660 | − | 4.16079i | 0.0442414 | − | 0.250905i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.9441 | + | 13.3787i | −0.957990 | + | 0.803849i | −0.980625 | − | 0.195895i | \(-0.937239\pi\) |
0.0226353 | + | 0.999744i | \(0.492794\pi\) | |||||||
\(278\) | −10.7075 | − | 18.5459i | −0.642194 | − | 1.11231i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.75631 | − | 6.50612i | 0.224483 | − | 0.388815i | ||||
\(281\) | 2.12897 | + | 12.0740i | 0.127004 | + | 0.720275i | 0.980097 | + | 0.198517i | \(0.0636126\pi\) |
−0.853093 | + | 0.521758i | \(0.825276\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.29682 | + | 1.56391i | −0.255419 | + | 0.0929650i | −0.466556 | − | 0.884491i | \(-0.654506\pi\) |
0.211137 | + | 0.977456i | \(0.432283\pi\) | |||||||
\(284\) | 14.1691 | − | 5.15712i | 0.840779 | − | 0.306019i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.80371 | − | 15.9006i | −0.165787 | − | 0.940224i | ||||
\(287\) | 2.89045 | − | 5.00641i | 0.170618 | − | 0.295519i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.94976 | + | 8.57324i | 0.291162 | + | 0.504308i | ||||
\(290\) | 9.06257 | − | 7.60440i | 0.532172 | − | 0.446546i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 9.17348 | − | 52.0254i | 0.536837 | − | 3.04456i | ||||
\(293\) | 20.0117 | + | 16.7918i | 1.16910 | + | 0.980988i | 0.999989 | − | 0.00460992i | \(-0.00146739\pi\) |
0.169106 | + | 0.985598i | \(0.445912\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.44371 | − | 1.25341i | −0.200500 | − | 0.0729762i | ||||
\(296\) | −43.6004 | −2.53422 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.96965 | 0.114099 | ||||||||
\(299\) | 13.5879 | + | 4.94560i | 0.785810 | + | 0.286011i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.45294 | − | 2.89736i | −0.199024 | − | 0.167001i | ||||
\(302\) | 2.03961 | − | 11.5672i | 0.117366 | − | 0.665617i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 60.5670 | − | 50.8217i | 3.47375 | − | 2.91483i | ||||
\(305\) | 5.71984 | + | 9.90705i | 0.327517 | + | 0.567276i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.64638 | + | 2.85162i | −0.0939641 | + | 0.162751i | −0.909176 | − | 0.416412i | \(-0.863287\pi\) |
0.815212 | + | 0.579163i | \(0.196621\pi\) | |||||||
\(308\) | −0.886412 | − | 5.02709i | −0.0505080 | − | 0.286445i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −19.6171 | + | 7.14003i | −1.11417 | + | 0.405526i | ||||
\(311\) | −32.6944 | + | 11.8998i | −1.85393 | + | 0.674775i | −0.870861 | + | 0.491529i | \(0.836438\pi\) |
−0.983067 | + | 0.183246i | \(0.941339\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.84550 | + | 10.4664i | 0.104314 | + | 0.591594i | 0.991492 | + | 0.130167i | \(0.0415514\pi\) |
−0.887178 | + | 0.461427i | \(0.847337\pi\) | |||||||
\(314\) | 20.9957 | − | 36.3657i | 1.18486 | − | 2.05223i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.1209 | − | 24.4580i | −0.794360 | − | 1.37587i | ||||
\(317\) | −11.8739 | + | 9.96335i | −0.666902 | + | 0.559598i | −0.912147 | − | 0.409864i | \(-0.865576\pi\) |
0.245244 | + | 0.969461i | \(0.421132\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.870840 | − | 4.93878i | 0.0487577 | − | 0.276519i | ||||
\(320\) | −30.7195 | − | 25.7767i | −1.71727 | − | 1.44096i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.91172 | + | 2.15169i | 0.329447 | + | 0.119909i | ||||
\(323\) | 15.4461 | 0.859446 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.85710 | −0.380363 | ||||||||
\(326\) | −21.5997 | − | 7.86166i | −1.19630 | − | 0.435417i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −79.3851 | − | 66.6120i | −4.38331 | − | 3.67803i | ||||
\(329\) | 0.593904 | − | 3.36820i | 0.0327430 | − | 0.185695i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.1615 | + | 9.36559i | −0.613490 | + | 0.514780i | −0.895750 | − | 0.444559i | \(-0.853361\pi\) |
0.282259 | + | 0.959338i | \(0.408916\pi\) | |||||||
\(332\) | 7.25330 | + | 12.5631i | 0.398077 | + | 0.689489i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −31.3002 | + | 54.2136i | −1.71267 | + | 2.96644i | ||||
\(335\) | −3.62532 | − | 20.5602i | −0.198072 | − | 1.12332i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.3716 | − | 7.05067i | 1.05524 | − | 0.384074i | 0.244599 | − | 0.969624i | \(-0.421344\pi\) |
0.810636 | + | 0.585550i | \(0.199121\pi\) | |||||||
\(338\) | 8.42077 | − | 3.06491i | 0.458030 | − | 0.166709i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.11479 | − | 23.3361i | −0.223156 | − | 1.26558i | ||||
\(341\) | −4.42475 | + | 7.66390i | −0.239614 | + | 0.415023i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.44142 | + | 5.96071i | 0.185819 | + | 0.321848i | ||||
\(344\) | −61.8982 | + | 51.9388i | −3.33733 | + | 2.80035i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.21119 | + | 6.86899i | −0.0651138 | + | 0.369279i | ||||
\(347\) | −16.2275 | − | 13.6165i | −0.871140 | − | 0.730973i | 0.0931979 | − | 0.995648i | \(-0.470291\pi\) |
−0.964338 | + | 0.264674i | \(0.914736\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.34699 | + | 1.58218i | 0.232689 | + | 0.0846919i | 0.455733 | − | 0.890116i | \(-0.349377\pi\) |
−0.223044 | + | 0.974808i | \(0.571599\pi\) | |||||||
\(350\) | −2.98333 | −0.159466 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −36.3387 | −1.93686 | ||||||||
\(353\) | 12.8206 | + | 4.66632i | 0.682372 | + | 0.248363i | 0.659866 | − | 0.751383i | \(-0.270613\pi\) |
0.0225065 | + | 0.999747i | \(0.492835\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.63286 | + | 3.04833i | 0.192812 | + | 0.161788i | ||||
\(356\) | 10.3590 | − | 58.7488i | 0.549026 | − | 3.11368i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −18.4346 | + | 15.4684i | −0.974297 | + | 0.817532i | ||||
\(359\) | 14.1223 | + | 24.4606i | 0.745349 | + | 1.29098i | 0.950032 | + | 0.312153i | \(0.101050\pi\) |
−0.204683 | + | 0.978828i | \(0.565616\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.30050 | + | 12.6448i | −0.384237 | + | 0.665517i | ||||
\(362\) | 3.71642 | + | 21.0769i | 0.195331 | + | 1.10778i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.78514 | + | 2.83356i | −0.408052 | + | 0.148519i | ||||
\(365\) | 15.6131 | − | 5.68270i | 0.817226 | − | 0.297446i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.05688 | + | 34.3503i | 0.316167 | + | 1.79307i | 0.565601 | + | 0.824679i | \(0.308644\pi\) |
−0.249434 | + | 0.968392i | \(0.580245\pi\) | |||||||
\(368\) | 31.6842 | − | 54.8786i | 1.65165 | − | 2.86075i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.9901 | − | 19.0354i | −0.571348 | − | 0.989604i | ||||
\(371\) | −2.08350 | + | 1.74827i | −0.108170 | + | 0.0907655i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.531266 | − | 3.01296i | 0.0275079 | − | 0.156005i | −0.967960 | − | 0.251105i | \(-0.919206\pi\) |
0.995468 | + | 0.0951001i | \(0.0303171\pi\) | |||||||
\(374\) | −10.5891 | − | 8.88533i | −0.547551 | − | 0.459450i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −57.6131 | − | 20.9694i | −2.97117 | − | 1.08142i | ||||
\(377\) | −8.13924 | −0.419192 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.67705 | −0.394344 | −0.197172 | − | 0.980369i | \(-0.563176\pi\) | ||||
−0.197172 | + | 0.980369i | \(0.563176\pi\) | |||||||
\(380\) | 48.4390 | + | 17.6304i | 2.48487 | + | 0.904419i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −32.9425 | − | 27.6420i | −1.68548 | − | 1.41429i | ||||
\(383\) | 1.79933 | − | 10.2045i | 0.0919416 | − | 0.521427i | −0.903700 | − | 0.428166i | \(-0.859160\pi\) |
0.995642 | − | 0.0932607i | \(-0.0297290\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.22987 | − | 1.03198i | 0.0626798 | − | 0.0525946i | ||||
\(386\) | 6.20106 | + | 10.7406i | 0.315626 | + | 0.546680i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 18.3161 | − | 31.7244i | 0.929858 | − | 1.61056i | ||||
\(389\) | −0.0741393 | − | 0.420465i | −0.00375901 | − | 0.0213184i | 0.982871 | − | 0.184297i | \(-0.0590009\pi\) |
−0.986630 | + | 0.162979i | \(0.947890\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.6331 | − | 4.23411i | 0.588313 | − | 0.214128i | ||||
\(392\) | 56.9146 | − | 20.7152i | 2.87462 | − | 1.04628i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.40645 | + | 7.97637i | 0.0708559 | + | 0.401844i | ||||
\(395\) | 4.44119 | − | 7.69238i | 0.223461 | − | 0.387045i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.5445 | + | 23.4598i | 0.679781 | + | 1.17741i | 0.975047 | + | 0.221999i | \(0.0712583\pi\) |
−0.295266 | + | 0.955415i | \(0.595408\pi\) | |||||||
\(398\) | 30.8519 | − | 25.8879i | 1.54647 | − | 1.29764i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.21814 | + | 29.5936i | −0.260907 | + | 1.47968i | ||||
\(401\) | 22.4914 | + | 18.8725i | 1.12317 | + | 0.942450i | 0.998760 | − | 0.0497810i | \(-0.0158523\pi\) |
0.124408 | + | 0.992231i | \(0.460297\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.4965 | + | 4.91232i | 0.672308 | + | 0.244700i | ||||
\(404\) | 19.8319 | 0.986675 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.54115 | −0.175744 | ||||||||
\(407\) | −8.75565 | − | 3.18680i | −0.434001 | − | 0.157964i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.4618 | − | 12.9740i | −0.764536 | − | 0.641522i | 0.174767 | − | 0.984610i | \(-0.444083\pi\) |
−0.939303 | + | 0.343088i | \(0.888527\pi\) | |||||||
\(410\) | 9.07187 | − | 51.4491i | 0.448028 | − | 2.54089i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 31.2865 | − | 26.2525i | 1.54138 | − | 1.29337i | ||||
\(413\) | 0.548476 | + | 0.949988i | 0.0269887 | + | 0.0467459i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.28126 | + | 3.95126i | −0.111983 | + | 0.193960i | ||||
\(416\) | 10.2413 | + | 58.0813i | 0.502121 | + | 2.84767i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 28.2569 | − | 10.2847i | 1.38209 | − | 0.503039i | ||||
\(419\) | −22.9006 | + | 8.33514i | −1.11877 | + | 0.407198i | −0.834203 | − | 0.551458i | \(-0.814072\pi\) |
−0.284566 | + | 0.958657i | \(0.591849\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.54516 | − | 25.7769i | −0.221518 | − | 1.25629i | −0.869232 | − | 0.494405i | \(-0.835386\pi\) |
0.647714 | − | 0.761884i | \(-0.275725\pi\) | |||||||
\(422\) | −18.7717 | + | 32.5136i | −0.913794 | + | 1.58274i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 24.3781 | + | 42.2240i | 1.18390 | + | 2.05058i | ||||
\(425\) | −4.49715 | + | 3.77356i | −0.218144 | + | 0.183045i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.594608 | − | 3.37219i | 0.0287751 | − | 0.163192i | ||||
\(428\) | −43.8527 | − | 36.7967i | −2.11970 | − | 1.77864i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −38.2782 | − | 13.9321i | −1.84594 | − | 0.671867i | ||||
\(431\) | 31.9185 | 1.53746 | 0.768731 | − | 0.639572i | \(-0.220889\pi\) | ||||
0.768731 | + | 0.639572i | \(0.220889\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.0123080 | 0.000591484 | 0.000295742 | − | 1.00000i | \(-0.499906\pi\) | ||||
0.000295742 | 1.00000i | \(0.499906\pi\) | ||||||||
\(434\) | 5.87193 | + | 2.13721i | 0.281862 | + | 0.102589i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 49.8164 | + | 41.8009i | 2.38577 | + | 2.00190i | ||||
\(437\) | −4.67642 | + | 26.5213i | −0.223703 | + | 1.26868i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.06372 | − | 3.40986i | 0.193951 | − | 0.162744i | −0.540641 | − | 0.841253i | \(-0.681818\pi\) |
0.734592 | + | 0.678510i | \(0.237374\pi\) | |||||||
\(440\) | −14.3901 | − | 24.9244i | −0.686020 | − | 1.18822i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −11.2174 | + | 19.4291i | −0.533557 | + | 0.924147i | ||||
\(443\) | 7.06684 | + | 40.0781i | 0.335756 | + | 1.90417i | 0.419639 | + | 0.907691i | \(0.362157\pi\) |
−0.0838834 | + | 0.996476i | \(0.526732\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 17.6308 | − | 6.41709i | 0.835780 | − | 0.304199i | ||||
\(446\) | 17.3156 | − | 6.30235i | 0.819916 | − | 0.298425i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.08438 | + | 11.8211i | 0.0984778 | + | 0.558496i | ||||
\(449\) | −7.71401 | + | 13.3611i | −0.364047 | + | 0.630547i | −0.988623 | − | 0.150417i | \(-0.951938\pi\) |
0.624576 | + | 0.780964i | \(0.285272\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.0731 | − | 19.1791i | −0.521410 | − | 0.903109i | ||||
\(452\) | −7.91838 | + | 6.64431i | −0.372449 | + | 0.312522i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.57556 | + | 25.9493i | −0.214742 | + | 1.21786i | ||||
\(455\) | −1.99606 | − | 1.67489i | −0.0935767 | − | 0.0785202i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.24469 | − | 0.816999i | −0.105002 | − | 0.0382176i | 0.288985 | − | 0.957334i | \(-0.406682\pi\) |
−0.393987 | + | 0.919116i | \(0.628904\pi\) | |||||||
\(458\) | −37.9922 | −1.77526 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 41.3143 | 1.92629 | ||||||||
\(461\) | −30.5248 | − | 11.1101i | −1.42168 | − | 0.517451i | −0.487148 | − | 0.873319i | \(-0.661963\pi\) |
−0.934536 | + | 0.355869i | \(0.884185\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 25.9525 | + | 21.7767i | 1.20611 | + | 1.01205i | 0.999434 | + | 0.0336404i | \(0.0107101\pi\) |
0.206679 | + | 0.978409i | \(0.433734\pi\) | |||||||
\(464\) | −6.19383 | + | 35.1270i | −0.287541 | + | 1.63073i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.0310 | − | 9.25612i | 0.511002 | − | 0.428781i | ||||
\(467\) | 6.90133 | + | 11.9535i | 0.319356 | + | 0.553140i | 0.980354 | − | 0.197247i | \(-0.0632002\pi\) |
−0.660998 | + | 0.750388i | \(0.729867\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.12459 | + | 5.41195i | −0.144280 | + | 0.249901i | ||||
\(470\) | −5.36719 | − | 30.4389i | −0.247570 | − | 1.40404i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 18.4783 | − | 6.72556i | 0.850534 | − | 0.309569i | ||||
\(473\) | −16.2264 | + | 5.90593i | −0.746091 | + | 0.271555i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.21762 | − | 12.5767i | −0.101751 | − | 0.577060i | ||||
\(476\) | −3.54645 | + | 6.14264i | −0.162551 | + | 0.281547i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −24.0392 | − | 41.6372i | −1.09953 | − | 1.90444i | ||||
\(479\) | 4.51286 | − | 3.78674i | 0.206198 | − | 0.173020i | −0.533841 | − | 0.845585i | \(-0.679252\pi\) |
0.740038 | + | 0.672565i | \(0.234807\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.62596 | + | 14.8926i | −0.119734 | + | 0.679042i | ||||
\(482\) | −4.15848 | − | 3.48938i | −0.189413 | − | 0.158937i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 36.5876 | + | 13.3168i | 1.66307 | + | 0.605309i | ||||
\(485\) | 11.5213 | 0.523155 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.0299 | 1.31547 | 0.657736 | − | 0.753249i | \(-0.271514\pi\) | ||||
0.657736 | + | 0.753249i | \(0.271514\pi\) | |||||||
\(488\) | −57.6814 | − | 20.9943i | −2.61111 | − | 0.950368i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 23.3902 | + | 19.6267i | 1.05666 | + | 0.886644i | ||||
\(491\) | 0.761188 | − | 4.31691i | 0.0343519 | − | 0.194820i | −0.962802 | − | 0.270206i | \(-0.912908\pi\) |
0.997154 | + | 0.0753869i | \(0.0240192\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.33803 | + | 4.47914i | −0.240413 | + | 0.201730i | ||||
\(494\) | −24.4019 | − | 42.2654i | −1.09789 | − | 1.90161i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 31.4710 | − | 54.5093i | 1.41309 | − | 2.44754i | ||||
\(497\) | −0.246497 | − | 1.39795i | −0.0110569 | − | 0.0627068i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −33.2120 | + | 12.0882i | −1.48677 | + | 0.541142i | −0.952598 | − | 0.304231i | \(-0.901600\pi\) |
−0.534177 | + | 0.845373i | \(0.679378\pi\) | |||||||
\(500\) | −60.1922 | + | 21.9082i | −2.69188 | + | 0.979764i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.0688 | + | 62.7746i | 0.494027 | + | 2.80177i | ||||
\(503\) | 4.18829 | − | 7.25434i | 0.186747 | − | 0.323455i | −0.757417 | − | 0.652932i | \(-0.773539\pi\) |
0.944164 | + | 0.329477i | \(0.106872\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.11870 | + | 5.40175i | 0.138780 | + | 0.240375i | ||||
\(506\) | 18.4622 | − | 15.4916i | 0.820745 | − | 0.688687i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.16465 | − | 12.2763i | 0.0960406 | − | 0.544673i | ||||
\(509\) | −2.94389 | − | 2.47021i | −0.130485 | − | 0.109490i | 0.575209 | − | 0.818006i | \(-0.304921\pi\) |
−0.705695 | + | 0.708516i | \(0.749365\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.67343 | − | 1.70099i | −0.206740 | − | 0.0752473i | ||||
\(512\) | 13.6601 | 0.603699 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.8911 | 0.700925 | ||||||||
\(515\) | 12.0706 | + | 4.39333i | 0.531894 | + | 0.193593i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.0369 | − | 8.42200i | −0.441425 | − | 0.370399i | ||||
\(518\) | −1.14248 | + | 6.47933i | −0.0501977 | + | 0.284685i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −35.7819 | + | 30.0245i | −1.56914 | + | 1.31666i | ||||
\(521\) | −9.82615 | − | 17.0194i | −0.430491 | − | 0.745633i | 0.566424 | − | 0.824114i | \(-0.308326\pi\) |
−0.996916 | + | 0.0784810i | \(0.974993\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.8051 | − | 34.3035i | 0.866018 | − | 1.49999i | −1.41543e−5 | − | 1.00000i | \(-0.500005\pi\) |
0.866032 | − | 0.499988i | \(-0.166662\pi\) | |||||||
\(524\) | −15.7915 | − | 89.5582i | −0.689856 | − | 3.91237i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −55.8669 | + | 20.3339i | −2.43591 | + | 0.886599i | ||||
\(527\) | 11.5548 | − | 4.20562i | 0.503337 | − | 0.183200i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.245870 | − | 1.39440i | −0.0106900 | − | 0.0606259i | ||||
\(530\) | −12.2897 | + | 21.2864i | −0.533830 | + | 0.924620i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −7.71483 | − | 13.3625i | −0.334480 | − | 0.579337i | ||||
\(533\) | −27.5339 | + | 23.1037i | −1.19262 | + | 1.00073i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.12645 | − | 17.7310i | 0.135168 | − | 0.766576i | ||||
\(536\) | 85.8156 | + | 72.0078i | 3.70667 | + | 3.11026i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 77.7896 | + | 28.3131i | 3.35375 | + | 1.22066i | ||||
\(539\) | 12.9435 | 0.557514 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −41.8257 | −1.79823 | −0.899115 | − | 0.437713i | \(-0.855788\pi\) | ||||
−0.899115 | + | 0.437713i | \(0.855788\pi\) | |||||||
\(542\) | 40.8800 | + | 14.8791i | 1.75595 | + | 0.639112i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 38.6796 | + | 32.4561i | 1.65838 | + | 1.39154i | ||||
\(545\) | −3.55162 | + | 20.1423i | −0.152135 | + | 0.862800i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.0490 | + | 10.9495i | −0.557937 | + | 0.468165i | −0.877618 | − | 0.479360i | \(-0.840869\pi\) |
0.319681 | + | 0.947525i | \(0.396424\pi\) | |||||||
\(548\) | −37.0280 | − | 64.1343i | −1.58176 | − | 2.73968i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.71442 | + | 9.89767i | −0.243664 | + | 0.422038i | ||||
\(551\) | −2.63227 | − | 14.9283i | −0.112138 | − | 0.635968i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.49840 | + | 0.909345i | −0.106243 | + | 0.0386693i | ||||
\(554\) | 52.9066 | − | 19.2564i | 2.24779 | − | 0.818128i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.30985 | + | 41.4562i | 0.310007 | + | 1.75813i | ||||
\(557\) | 16.8840 | − | 29.2439i | 0.715398 | − | 1.23911i | −0.247408 | − | 0.968911i | \(-0.579579\pi\) |
0.962806 | − | 0.270194i | \(-0.0870880\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 14.0127 | + | 24.2707i | 0.592674 | + | 1.02654i | ||||
\(560\) | −8.74740 | + | 7.33994i | −0.369645 | + | 0.310169i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.75902 | − | 32.6610i | 0.242929 | − | 1.37772i | ||||
\(563\) | −17.3978 | − | 14.5985i | −0.733232 | − | 0.615254i | 0.197779 | − | 0.980247i | \(-0.436627\pi\) |
−0.931011 | + | 0.364992i | \(0.881072\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.05497 | − | 1.11192i | −0.128524 | − | 0.0467787i | ||||
\(566\) | 12.3691 | 0.519913 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −25.4466 | −1.06772 | ||||||||
\(569\) | −10.2158 | − | 3.71825i | −0.428269 | − | 0.155877i | 0.118887 | − | 0.992908i | \(-0.462067\pi\) |
−0.547156 | + | 0.837031i | \(0.684290\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.4016 | + | 9.56706i | 0.477141 | + | 0.400369i | 0.849391 | − | 0.527763i | \(-0.176969\pi\) |
−0.372250 | + | 0.928132i | \(0.621414\pi\) | |||||||
\(572\) | −5.51128 | + | 31.2560i | −0.230438 | + | 1.30688i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −11.9792 | + | 10.0517i | −0.500002 | + | 0.419551i | ||||
\(575\) | −5.11772 | − | 8.86416i | −0.213424 | − | 0.369661i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.5582 | − | 32.1437i | 0.772586 | − | 1.33816i | −0.163555 | − | 0.986534i | \(-0.552296\pi\) |
0.936141 | − | 0.351624i | \(-0.114371\pi\) | |||||||
\(578\) | −4.65010 | − | 26.3720i | −0.193419 | − | 1.09693i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −21.8526 | + | 7.95369i | −0.907379 | + | 0.330259i | ||||
\(581\) | 1.28333 | − | 0.467093i | 0.0532414 | − | 0.0193783i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.80931 | + | 10.2611i | 0.0749338 | + | 0.424971i | ||||
\(584\) | −44.5768 | + | 77.2093i | −1.84460 | + | 3.19494i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −35.3328 | − | 61.1981i | −1.45958 | − | 2.52807i | ||||
\(587\) | 11.2174 | − | 9.41248i | 0.462990 | − | 0.388495i | −0.381240 | − | 0.924476i | \(-0.624503\pi\) |
0.844230 | + | 0.535982i | \(0.180058\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.64495 | + | 26.3428i | −0.191392 | + | 1.08544i | ||||
\(590\) | 7.59403 | + | 6.37215i | 0.312641 | + | 0.262337i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 62.2744 | + | 22.6660i | 2.55946 | + | 0.931568i | ||||
\(593\) | −36.4392 | −1.49638 | −0.748189 | − | 0.663485i | \(-0.769076\pi\) | ||||
−0.748189 | + | 0.663485i | \(0.769076\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.23081 | −0.0914544 | ||||||||
\(596\) | −3.63827 | − | 1.32422i | −0.149029 | − | 0.0542422i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −29.9639 | − | 25.1427i | −1.22532 | − | 1.02816i | ||||
\(599\) | −4.77444 | + | 27.0772i | −0.195078 | + | 1.10634i | 0.717229 | + | 0.696838i | \(0.245410\pi\) |
−0.912307 | + | 0.409506i | \(0.865701\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 34.6076 | − | 29.0392i | 1.41167 | − | 1.18453i | 0.456045 | − | 0.889957i | \(-0.349266\pi\) |
0.955628 | − | 0.294578i | \(-0.0951789\pi\) | |||||||
\(602\) | 6.09653 | + | 10.5595i | 0.248476 | + | 0.430373i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −11.5443 | + | 19.9953i | −0.469729 | + | 0.813595i | ||||
\(605\) | 2.12646 | + | 12.0598i | 0.0864529 | + | 0.490299i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −16.1037 | + | 5.86126i | −0.653628 | + | 0.237901i | −0.647483 | − | 0.762080i | \(-0.724178\pi\) |
−0.00614504 | + | 0.999981i | \(0.501956\pi\) | |||||||
\(608\) | −103.216 | + | 37.5675i | −4.18596 | + | 1.52356i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.37355 | − | 30.4749i | −0.217569 | − | 1.23389i | ||||
\(611\) | −10.6324 | + | 18.4159i | −0.430143 | + | 0.745029i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.234380 | + | 0.405959i | 0.00946653 | + | 0.0163965i | 0.870720 | − | 0.491779i | \(-0.163653\pi\) |
−0.861253 | + | 0.508176i | \(0.830320\pi\) | |||||||
\(614\) | 6.82327 | − | 5.72541i | 0.275365 | − | 0.231059i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.49593 | + | 8.48383i | −0.0602726 | + | 0.341823i | ||||
\(617\) | 1.63539 | + | 1.37225i | 0.0658383 | + | 0.0552449i | 0.675113 | − | 0.737714i | \(-0.264095\pi\) |
−0.609275 | + | 0.792959i | \(0.708539\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.02272 | − | 2.92003i | −0.322460 | − | 0.117366i | 0.175718 | − | 0.984441i | \(-0.443775\pi\) |
−0.498178 | + | 0.867075i | \(0.665998\pi\) | |||||||
\(620\) | 41.0363 | 1.64806 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 94.1163 | 3.77372 | ||||||||
\(623\) | −5.27739 | − | 1.92081i | −0.211434 | − | 0.0769557i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.99443 | − | 5.86902i | −0.279777 | − | 0.234761i | ||||
\(626\) | 4.99221 | − | 28.3122i | 0.199529 | − | 1.13158i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −63.2316 | + | 53.0576i | −2.52322 | + | 2.11723i | ||||
\(629\) | 6.47339 | + | 11.2122i | 0.258111 | + | 0.447061i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.93539 | − | 10.2804i | 0.236284 | − | 0.409256i | −0.723361 | − | 0.690470i | \(-0.757404\pi\) |
0.959645 | + | 0.281214i | \(0.0907370\pi\) | |||||||
\(632\) | 8.27630 | + | 46.9372i | 0.329214 | + | 1.86706i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 39.4005 | − | 14.3406i | 1.56479 | − | 0.569538i | ||||
\(635\) | 3.68418 | − | 1.34093i | 0.146202 | − | 0.0532133i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.64784 | − | 20.6880i | −0.144533 | − | 0.819686i | ||||
\(638\) | −6.78291 | + | 11.7483i | −0.268538 | + | 0.465121i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 22.5486 | + | 39.0554i | 0.891313 | + | 1.54380i | ||||
\(641\) | −4.06284 | + | 3.40913i | −0.160472 | + | 0.134652i | −0.719488 | − | 0.694505i | \(-0.755624\pi\) |
0.559016 | + | 0.829157i | \(0.311179\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.143063 | + | 0.811352i | −0.00564187 | + | 0.0319966i | −0.987499 | − | 0.157627i | \(-0.949616\pi\) |
0.981857 | + | 0.189624i | \(0.0607268\pi\) | |||||||
\(644\) | −9.47330 | − | 7.94904i | −0.373300 | − | 0.313236i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −39.2630 | − | 14.2906i | −1.54478 | − | 0.562254i | ||||
\(647\) | 40.8373 | 1.60548 | 0.802740 | − | 0.596329i | \(-0.203374\pi\) | ||||
0.802740 | + | 0.596329i | \(0.203374\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.20232 | 0.164955 | ||||||||
\(650\) | 17.4303 | + | 6.34409i | 0.683671 | + | 0.248836i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 34.6128 | + | 29.0436i | 1.35554 | + | 1.13743i | ||||
\(653\) | −0.185692 | + | 1.05311i | −0.00726668 | + | 0.0412114i | −0.988225 | − | 0.153004i | \(-0.951105\pi\) |
0.980959 | + | 0.194216i | \(0.0622162\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 21.9102 | − | 18.3849i | 0.856103 | − | 0.718356i | ||||
\(656\) | 78.7569 | + | 136.411i | 3.07494 | + | 5.32595i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.62587 | + | 8.01225i | −0.180335 | + | 0.312350i | ||||
\(659\) | 4.97750 | + | 28.2288i | 0.193896 | + | 1.09964i | 0.913982 | + | 0.405754i | \(0.132991\pi\) |
−0.720086 | + | 0.693884i | \(0.755898\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.22459 | − | 1.53763i | 0.164318 | − | 0.0598067i | −0.258552 | − | 0.965997i | \(-0.583245\pi\) |
0.422869 | + | 0.906191i | \(0.361023\pi\) | |||||||
\(662\) | 37.0366 | − | 13.4802i | 1.43947 | − | 0.523924i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.25119 | − | 24.1097i | −0.164978 | − | 0.935638i | ||||
\(665\) | 2.42642 | − | 4.20268i | 0.0940924 | − | 0.162973i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.07464 | − | 10.5216i | −0.235211 | − | 0.407397i | ||||
\(668\) | 94.2651 | − | 79.0978i | 3.64723 | − | 3.06039i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −9.80672 | + | 55.6167i | −0.378867 | + | 2.14866i | ||||
\(671\) | −10.0488 | − | 8.43198i | −0.387931 | − | 0.325513i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.9695 | − | 6.17640i | −0.654127 | − | 0.238083i | −0.00642810 | − | 0.999979i | \(-0.502046\pi\) |
−0.647699 | + | 0.761897i | \(0.724268\pi\) | |||||||
\(674\) | −55.7643 | −2.14796 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −17.6151 | −0.677505 | ||||||||
\(677\) | 14.7900 | + | 5.38311i | 0.568425 | + | 0.206890i | 0.610214 | − | 0.792237i | \(-0.291083\pi\) |
−0.0417888 | + | 0.999126i | \(0.513306\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.64181 | − | 2.21675i | −0.101384 | − | 0.0850709i | ||||
\(680\) | −6.94420 | + | 39.3825i | −0.266298 | + | 1.51025i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 18.3380 | − | 15.3874i | 0.702196 | − | 0.589213i | ||||
\(683\) | −1.38059 | − | 2.39125i | −0.0528268 | − | 0.0914987i | 0.838403 | − | 0.545051i | \(-0.183490\pi\) |
−0.891230 | + | 0.453552i | \(0.850156\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.6458 | − | 20.1711i | 0.444963 | − | 0.770698i | ||||
\(686\) | −3.23307 | − | 18.3357i | −0.123439 | − | 0.700058i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 115.410 | − | 42.0058i | 4.39996 | − | 1.60146i | ||||
\(689\) | 15.8907 | − | 5.78374i | 0.605387 | − | 0.220343i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.99530 | − | 34.0010i | −0.228072 | − | 1.29346i | −0.856725 | − | 0.515774i | \(-0.827504\pi\) |
0.628653 | − | 0.777686i | \(-0.283607\pi\) | |||||||
\(692\) | 6.85537 | − | 11.8738i | 0.260602 | − | 0.451376i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 28.6514 | + | 49.6257i | 1.08759 | + | 1.88377i | ||||
\(695\) | −10.1422 | + | 8.51029i | −0.384714 | + | 0.322814i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.34351 | + | 30.3046i | −0.202400 | + | 1.14787i | ||||
\(698\) | −9.58594 | − | 8.04356i | −0.362833 | − | 0.304453i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.51069 | + | 2.00573i | 0.208285 | + | 0.0758094i | ||||
\(701\) | 20.7410 | 0.783378 | 0.391689 | − | 0.920098i | \(-0.371891\pi\) | ||||
0.391689 | + | 0.920098i | \(0.371891\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −28.1640 | −1.06222 | ||||||||
\(704\) | 43.2110 | + | 15.7275i | 1.62858 | + | 0.592754i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −28.2719 | − | 23.7229i | −1.06403 | − | 0.892824i | ||||
\(707\) | 0.324206 | − | 1.83866i | 0.0121930 | − | 0.0691501i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 21.2249 | − | 17.8098i | 0.797117 | − | 0.668861i | −0.150379 | − | 0.988628i | \(-0.548049\pi\) |
0.947496 | + | 0.319768i | \(0.103605\pi\) | |||||||
\(710\) | −6.41419 | − | 11.1097i | −0.240720 | − | 0.416940i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −50.3376 | + | 87.1873i | −1.88648 | + | 3.26748i | ||||
\(713\) | 3.72282 | + | 21.1131i | 0.139421 | + | 0.790693i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.38009 | + | 3.41407i | −0.350796 | + | 0.127679i | ||||
\(716\) | 44.4513 | − | 16.1789i | 1.66122 | − | 0.604635i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −13.2674 | − | 75.2429i | −0.495133 | − | 2.80804i | ||||
\(719\) | 16.5657 | − | 28.6927i | 0.617797 | − | 1.07006i | −0.372090 | − | 0.928197i | \(-0.621359\pi\) |
0.989887 | − | 0.141859i | \(-0.0453081\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.92247 | − | 3.32981i | −0.0715965 | − | 0.124009i | ||||
\(722\) | 30.2562 | − | 25.3879i | 1.12602 | − | 0.944842i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.30541 | − | 41.4310i | 0.271503 | − | 1.53977i | ||||
\(725\) | 4.41344 | + | 3.70332i | 0.163911 | + | 0.137538i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.0776238 | + | 0.0282527i | 0.00287891 | + | 0.00104784i | 0.343459 | − | 0.939168i | \(-0.388401\pi\) |
−0.340580 | + | 0.940215i | \(0.610624\pi\) | |||||||
\(728\) | 13.9816 | 0.518191 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −44.9449 | −1.66349 | ||||||||
\(731\) | 22.5466 | + | 8.20630i | 0.833917 | + | 0.303521i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −24.4502 | − | 20.5162i | −0.903089 | − | 0.757782i | 0.0677025 | − | 0.997706i | \(-0.478433\pi\) |
−0.970792 | + | 0.239924i | \(0.922878\pi\) | |||||||
\(734\) | 16.3843 | − | 92.9198i | 0.604754 | − | 3.42973i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −67.4381 | + | 56.5873i | −2.48580 | + | 2.08584i | ||||
\(737\) | 11.9700 | + | 20.7327i | 0.440921 | + | 0.763698i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.8960 | − | 30.9967i | 0.658314 | − | 1.14023i | −0.322738 | − | 0.946488i | \(-0.604603\pi\) |
0.981052 | − | 0.193745i | \(-0.0620634\pi\) | |||||||
\(740\) | 7.50277 | + | 42.5503i | 0.275807 | + | 1.56418i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.91359 | − | 2.51634i | 0.253806 | − | 0.0923778i | ||||
\(743\) | 18.5861 | − | 6.76477i | 0.681856 | − | 0.248175i | 0.0222120 | − | 0.999753i | \(-0.492929\pi\) |
0.659644 | + | 0.751578i | \(0.270707\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.211455 | − | 1.19922i | −0.00774711 | − | 0.0439361i | ||||
\(746\) | −4.13799 | + | 7.16721i | −0.151503 | + | 0.262410i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 13.5861 | + | 23.5319i | 0.496758 | + | 0.860411i | ||||
\(749\) | −4.12840 | + | 3.46414i | −0.150848 | + | 0.126577i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.31026 | − | 30.1160i | 0.193774 | − | 1.09895i | −0.720380 | − | 0.693580i | \(-0.756032\pi\) |
0.914154 | − | 0.405367i | \(-0.132856\pi\) | |||||||
\(752\) | 71.3876 | + | 59.9013i | 2.60324 | + | 2.18438i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 20.6894 | + | 7.53031i | 0.753462 | + | 0.274238i | ||||
\(755\) | −7.26165 | −0.264278 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 25.4129 | 0.923647 | 0.461824 | − | 0.886972i | \(-0.347195\pi\) | ||||
0.461824 | + | 0.886972i | \(0.347195\pi\) | |||||||
\(758\) | 19.5145 | + | 7.10271i | 0.708799 | + | 0.257982i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −66.6405 | − | 55.9181i | −2.41731 | − | 2.02836i | ||||
\(761\) | −8.12986 | + | 46.1067i | −0.294707 | + | 1.67137i | 0.373684 | + | 0.927556i | \(0.378095\pi\) |
−0.668391 | + | 0.743810i | \(0.733017\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.68984 | − | 3.93524i | 0.169784 | − | 0.142465i | ||||
\(764\) | 42.2661 | + | 73.2070i | 1.52913 | + | 2.64854i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −14.0149 | + | 24.2744i | −0.506377 | + | 0.877071i | ||||
\(767\) | −1.18434 | − | 6.71670i | −0.0427639 | − | 0.242526i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −13.6870 | + | 4.98167i | −0.493567 | + | 0.179644i | −0.576798 | − | 0.816887i | \(-0.695698\pi\) |
0.0832316 | + | 0.996530i | \(0.473476\pi\) | |||||||
\(770\) | −4.08101 | + | 1.48537i | −0.147069 | + | 0.0535289i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.23337 | − | 24.0086i | −0.152362 | − | 0.864089i | ||||
\(773\) | −12.1767 | + | 21.0906i | −0.437964 | + | 0.758576i | −0.997532 | − | 0.0702080i | \(-0.977634\pi\) |
0.559568 | + | 0.828784i | \(0.310967\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.08328 | − | 8.80451i | −0.182597 | − | 0.316267i | ||||
\(776\) | −47.3578 | + | 39.7379i | −1.70005 | + | 1.42651i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.200552 | + | 1.13738i | −0.00719012 | + | 0.0407772i | ||||
\(779\) | −51.2794 | − | 43.0285i | −1.83727 | − | 1.54166i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.11009 | − | 1.85992i | −0.182853 | − | 0.0665532i | ||||
\(782\) | −33.4879 | −1.19753 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −92.0601 | −3.28786 | ||||||||
\(785\) | −24.3952 | − | 8.87914i | −0.870703 | − | 0.316910i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.1177 | − | 17.7198i | −0.752764 | − | 0.631644i | 0.183468 | − | 0.983026i | \(-0.441268\pi\) |
−0.936232 | + | 0.351381i | \(0.885712\pi\) | |||||||
\(788\) | 2.76467 | − | 15.6792i | 0.0984874 | − | 0.558550i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −18.4061 | + | 15.4445i | −0.654859 | + | 0.549492i | ||||
\(791\) | 0.486562 | + | 0.842750i | 0.0173001 | + | 0.0299647i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.6451 | + | 18.4378i | −0.378017 | + | 0.654744i | ||||
\(794\) | −12.7245 | − | 72.1644i | −0.451577 | − | 2.56102i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −74.3933 | + | 27.0770i | −2.63680 | + | 0.959717i | ||||
\(797\) | 6.21787 | − | 2.26312i | 0.220248 | − | 0.0801638i | −0.229539 | − | 0.973299i | \(-0.573722\pi\) |
0.449787 | + | 0.893136i | \(0.351500\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.16138 | + | 17.9291i | 0.111842 | + | 0.634286i | ||||
\(800\) | 20.8735 | − | 36.1539i | 0.737989 | − | 1.27823i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −39.7110 | − | 68.7815i | −1.40224 | − | 2.42876i | ||||
\(803\) | −14.5950 | + | 12.2467i | −0.515048 | + | 0.432177i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.675393 | − | 3.83034i | 0.0238045 | − | 0.135002i | ||||
\(806\) | −29.7623 | − | 24.9735i | −1.04833 | − | 0.879655i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −31.4504 | − | 11.4470i | −1.10642 | − | 0.402704i | ||||
\(809\) | −8.61362 | −0.302839 | −0.151419 | − | 0.988470i | \(-0.548384\pi\) | ||||
−0.151419 | + | 0.988470i | \(0.548384\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.58716 | −0.336651 | −0.168325 | − | 0.985732i | \(-0.553836\pi\) | ||||
−0.168325 | + | 0.985732i | \(0.553836\pi\) | |||||||
\(812\) | 6.54108 | + | 2.38076i | 0.229547 | + | 0.0835483i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 19.3079 | + | 16.2012i | 0.676740 | + | 0.567852i | ||||
\(815\) | −2.46770 | + | 13.9950i | −0.0864396 | + | 0.490223i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −39.9836 | + | 33.5502i | −1.39885 | + | 1.17377i | ||||
\(818\) | 27.2994 | + | 47.2840i | 0.954502 | + | 1.65325i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −51.3472 | + | 88.9359i | −1.79312 | + | 3.10578i | ||||
\(821\) | −2.40737 | − | 13.6529i | −0.0840177 | − | 0.476488i | −0.997564 | − | 0.0697537i | \(-0.977779\pi\) |
0.913547 | − | 0.406734i | \(-0.133332\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −44.9415 | + | 16.3574i | −1.56656 | + | 0.570182i | −0.972228 | − | 0.234037i | \(-0.924806\pi\) |
−0.594334 | + | 0.804218i | \(0.702584\pi\) | |||||||
\(824\) | −64.7686 | + | 23.5738i | −2.25632 | + | 0.821234i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.515271 | − | 2.92225i | −0.0179286 | − | 0.101678i | ||||
\(827\) | 21.2209 | − | 36.7556i | 0.737921 | − | 1.27812i | −0.215508 | − | 0.976502i | \(-0.569141\pi\) |
0.953430 | − | 0.301615i | \(-0.0975258\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.0018 | − | 22.5199i | −0.451573 | − | 0.782147i | 0.546911 | − | 0.837191i | \(-0.315804\pi\) |
−0.998484 | + | 0.0550437i | \(0.982470\pi\) | |||||||
\(830\) | 9.45445 | − | 7.93322i | 0.328169 | − | 0.275366i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 12.9597 | − | 73.4981i | 0.449296 | − | 2.54809i | ||||
\(833\) | −13.7773 | − | 11.5605i | −0.477354 | − | 0.400548i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 36.3682 | + | 13.2369i | 1.25857 | + | 0.458083i | ||||
\(836\) | −59.1096 | −2.04435 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 65.9233 | 2.27728 | ||||||||
\(839\) | −1.18051 | − | 0.429672i | −0.0407558 | − | 0.0148339i | 0.321562 | − | 0.946889i | \(-0.395792\pi\) |
−0.362318 | + | 0.932055i | \(0.618014\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.9766 | − | 14.2451i | −0.585401 | − | 0.491210i | ||||
\(842\) | −12.2950 | + | 69.7282i | −0.423712 | + | 2.40299i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 56.5338 | − | 47.4375i | 1.94597 | − | 1.63287i | ||||
\(845\) | −2.77009 | − | 4.79794i | −0.0952941 | − | 0.165054i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.83275 | − | 3.17442i | 0.0629742 | − | 0.109074i | ||||
\(848\) | −12.8687 | − | 72.9817i | −0.441911 | − | 2.50620i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 14.9227 | − | 5.43142i | 0.511844 | − | 0.186296i | ||||
\(851\) | −21.2115 | + | 7.72034i | −0.727119 | + | 0.264650i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.252545 | + | 1.43225i | 0.00864696 | + | 0.0490394i | 0.988826 | − | 0.149075i | \(-0.0476295\pi\) |
−0.980179 | + | 0.198114i | \(0.936518\pi\) | |||||||
\(854\) | −4.63136 | + | 8.02175i | −0.158482 | + | 0.274499i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 48.3044 | + | 83.6657i | 1.65101 | + | 2.85964i | ||||
\(857\) | −40.0715 | + | 33.6240i | −1.36882 | + | 1.14857i | −0.395670 | + | 0.918393i | \(0.629488\pi\) |
−0.973148 | + | 0.230182i | \(0.926068\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.64736 | + | 20.6852i | −0.124446 | + | 0.705771i | 0.857189 | + | 0.515003i | \(0.172209\pi\) |
−0.981635 | + | 0.190768i | \(0.938902\pi\) | |||||||
\(860\) | 61.3394 | + | 51.4698i | 2.09165 | + | 1.75511i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −81.1347 | − | 29.5306i | −2.76346 | − | 1.00582i | ||||
\(863\) | 12.9813 | 0.441890 | 0.220945 | − | 0.975286i | \(-0.429086\pi\) | ||||
0.220945 | + | 0.975286i | \(0.429086\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.31221 | 0.146619 | ||||||||
\(866\) | −0.0312860 | − | 0.0113872i | −0.00106314 | − | 0.000386952i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −9.40955 | − | 7.89555i | −0.319381 | − | 0.267992i | ||||
\(869\) | −1.76868 | + | 10.0307i | −0.0599983 | + | 0.340267i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 29.7642 | − | 24.9751i | 1.00852 | − | 0.846250i | ||||
\(872\) | −54.8735 | − | 95.0438i | −1.85825 | − | 3.21859i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 36.4243 | − | 63.0887i | 1.23207 | − | 2.13401i | ||||
\(875\) | 1.04715 | + | 5.93871i | 0.0354003 | + | 0.200765i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −29.1734 | + | 10.6182i | −0.985115 | + | 0.358553i | −0.783827 | − | 0.620979i | \(-0.786735\pi\) |
−0.201288 | + | 0.979532i | \(0.564513\pi\) | |||||||
\(878\) | −13.4844 | + | 4.90793i | −0.455078 | + | 0.165635i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 7.59621 | + | 43.0803i | 0.256068 | + | 1.45224i | ||||
\(881\) | −9.64783 | + | 16.7105i | −0.325044 | + | 0.562992i | −0.981521 | − | 0.191353i | \(-0.938712\pi\) |
0.656478 | + | 0.754346i | \(0.272046\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.91194 | + | 8.50773i | 0.165300 | + | 0.286308i | 0.936762 | − | 0.349968i | \(-0.113807\pi\) |
−0.771462 | + | 0.636276i | \(0.780474\pi\) | |||||||
\(884\) | 33.7828 | − | 28.3471i | 1.13624 | − | 0.953417i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 19.1163 | − | 108.414i | 0.642224 | − | 3.64223i | ||||
\(887\) | 33.7927 | + | 28.3555i | 1.13465 | + | 0.952084i | 0.999251 | − | 0.0387076i | \(-0.0123241\pi\) |
0.135399 | + | 0.990791i | \(0.456769\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.10278 | − | 0.401378i | −0.0369860 | − | 0.0134618i | ||||
\(890\) | −50.7533 | −1.70125 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −36.2219 | −1.21280 | ||||||||
\(893\) | −37.2156 | − | 13.5454i | −1.24537 | − | 0.453278i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.3970 | + | 9.56323i | 0.380960 | + | 0.319664i | ||||
\(896\) | 2.34405 | − | 13.2938i | 0.0783093 | − | 0.444114i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 31.9699 | − | 26.8260i | 1.06685 | − | 0.895194i | ||||
\(899\) | −6.03376 | − | 10.4508i | −0.201237 | − | 0.348553i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.23887 | − | 12.5381i | 0.241162 | − | 0.417704i | ||||
\(902\) | 10.4027 | + | 58.9966i | 0.346372 | + | 1.96437i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 16.3924 | − | 5.96635i | 0.545204 | − | 0.198438i | ||||
\(905\) | 12.4337 | − | 4.52548i | 0.413309 | − | 0.150432i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.36483 | − | 41.7680i | −0.244545 | − | 1.38689i | −0.821546 | − | 0.570142i | \(-0.806888\pi\) |
0.577001 | − | 0.816743i | \(-0.304223\pi\) | |||||||
\(908\) | 25.8979 | − | 44.8564i | 0.859451 | − | 1.48861i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.52426 | + | 6.10419i | 0.116828 | + | 0.202352i | ||||
\(911\) | 28.1218 | − | 23.5970i | 0.931716 | − | 0.781802i | −0.0444090 | − | 0.999013i | \(-0.514140\pi\) |
0.976125 | + | 0.217211i | \(0.0696960\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.908497 | − | 5.15234i | 0.0300668 | − | 0.170518i | ||||
\(914\) | 4.94996 | + | 4.15351i | 0.163730 | + | 0.137386i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 70.1779 | + | 25.5427i | 2.31874 | + | 0.843953i | ||||
\(917\) | −8.56130 | −0.282719 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −14.0589 | −0.463761 | −0.231881 | − | 0.972744i | \(-0.574488\pi\) | ||||
−0.231881 | + | 0.972744i | \(0.574488\pi\) | |||||||
\(920\) | −65.5181 | − | 23.8466i | −2.16007 | − | 0.786200i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 67.3131 | + | 56.4824i | 2.21684 | + | 1.86015i | ||||
\(923\) | −1.53260 | + | 8.69180i | −0.0504461 | + | 0.286094i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.19996 | − | 6.88058i | 0.269613 | − | 0.226232i | ||||
\(926\) | −45.8218 | − | 79.3657i | −1.50580 | − | 2.60812i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 24.7764 | − | 42.9140i | 0.813325 | − | 1.40872i | ||||
\(929\) | −3.21553 | − | 18.2362i | −0.105498 | − | 0.598309i | −0.991020 | − | 0.133712i | \(-0.957310\pi\) |
0.885522 | − | 0.464597i | \(-0.153801\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 36.7644 | − | 13.3812i | 1.20490 | − | 0.438550i | ||||
\(932\) | −26.5991 | + | 9.68128i | −0.871282 | + | 0.317121i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.48352 | − | 36.7699i | −0.212147 | − | 1.20315i | ||||
\(935\) | −4.27302 | + | 7.40108i | −0.139743 | + | 0.242041i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.23409 | − | 3.86955i | −0.0729845 | − | 0.126413i | 0.827224 | − | 0.561873i | \(-0.189919\pi\) |
−0.900208 | + | 0.435460i | \(0.856586\pi\) | |||||||
\(938\) | 12.9495 | − | 10.8660i | 0.422818 | − | 0.354786i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −10.5503 | + | 59.8340i | −0.344114 | + | 1.95157i | ||||
\(941\) | −1.53505 | − | 1.28806i | −0.0500410 | − | 0.0419894i | 0.617424 | − | 0.786630i | \(-0.288176\pi\) |
−0.667465 | + | 0.744641i | \(0.732621\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −50.4157 | − | 18.3498i | −1.64176 | − | 0.597552i | ||||
\(944\) | −29.8889 | −0.972801 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 46.7105 | 1.51869 | ||||||||
\(947\) | 11.8249 | + | 4.30392i | 0.384258 | + | 0.139859i | 0.526924 | − | 0.849912i | \(-0.323345\pi\) |
−0.142666 | + | 0.989771i | \(0.545567\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 23.6876 | + | 19.8763i | 0.768932 | + | 0.645210i | ||||
\(950\) | −5.99879 | + | 34.0209i | −0.194627 | + | 1.10378i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 9.16966 | − | 7.69426i | 0.297190 | − | 0.249372i | ||||
\(953\) | 9.98205 | + | 17.2894i | 0.323350 | + | 0.560059i | 0.981177 | − | 0.193110i | \(-0.0618575\pi\) |
−0.657827 | + | 0.753169i | \(0.728524\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.2932 | + | 23.0246i | −0.430159 | + | 0.745058i | ||||
\(956\) | 16.4112 | + | 93.0726i | 0.530777 | + | 3.01018i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −14.9748 | + | 5.45038i | −0.483814 | + | 0.176094i | ||||
\(959\) | −6.55136 | + | 2.38450i | −0.211554 | + | 0.0769995i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.68533 | − | 9.55799i | −0.0543655 | − | 0.308322i | ||||
\(962\) | 20.4534 | − | 35.4263i | 0.659444 | − | 1.14219i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.33544 | + | 9.24125i | 0.171843 | + | 0.297640i | ||||
\(965\) | 5.87366 | − | 4.92858i | 0.189080 | − | 0.158657i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.59296 | + | 31.7193i | −0.179858 | + | 1.02002i | 0.752529 | + | 0.658559i | \(0.228834\pi\) |
−0.932386 | + | 0.361463i | \(0.882277\pi\) | |||||||
\(968\) | −50.3358 | − | 42.2368i | −1.61785 | − | 1.35754i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −29.2863 | − | 10.6593i | −0.940327 | − | 0.342251i | ||||
\(971\) | −6.62934 | −0.212746 | −0.106373 | − | 0.994326i | \(-0.533924\pi\) | ||||
−0.106373 | + | 0.994326i | \(0.533924\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.96300 | 0.127048 | ||||||||
\(974\) | −73.7920 | − | 26.8581i | −2.36445 | − | 0.860589i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 71.4722 | + | 59.9723i | 2.28777 | + | 1.91967i | ||||
\(977\) | 2.05888 | − | 11.6765i | 0.0658696 | − | 0.373565i | −0.933998 | − | 0.357279i | \(-0.883705\pi\) |
0.999867 | − | 0.0162861i | \(-0.00518426\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.4812 | + | 13.8294i | −0.526742 | + | 0.441989i | ||||
\(980\) | −30.0102 | − | 51.9792i | −0.958642 | − | 1.66042i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −5.92884 | + | 10.2690i | −0.189197 | + | 0.327698i | ||||
\(983\) | −9.04099 | − | 51.2740i | −0.288363 | − | 1.63539i | −0.693020 | − | 0.720918i | \(-0.743720\pi\) |
0.404657 | − | 0.914469i | \(-0.367391\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.70542 | − | 1.71263i | 0.149927 | − | 0.0545690i | ||||
\(986\) | 17.7129 | − | 6.44698i | 0.564095 | − | 0.205314i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 16.6588 | + | 94.4768i | 0.529987 | + | 3.00571i | ||||
\(989\) | −20.9165 | + | 36.2284i | −0.665105 | + | 1.15200i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.735575 | − | 1.27405i | −0.0233663 | − | 0.0404716i | 0.854106 | − | 0.520099i | \(-0.174105\pi\) |
−0.877472 | + | 0.479628i | \(0.840772\pi\) | |||||||
\(992\) | −66.9843 | + | 56.2065i | −2.12675 | + | 1.78456i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.666790 | + | 3.78155i | −0.0211493 | + | 0.119944i | ||||
\(995\) | −19.0740 | − | 16.0050i | −0.604685 | − | 0.507391i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 24.8279 | + | 9.03661i | 0.786307 | + | 0.286192i | 0.703800 | − | 0.710398i | \(-0.251485\pi\) |
0.0825071 | + | 0.996590i | \(0.473707\pi\) | |||||||
\(998\) | 95.6065 | 3.02637 | ||||||||
\(999\) | 0 | 0 |
(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 | 729.2.e.k.568.1 | 12 | ||
3.2 | odd | 2 | 729.2.e.t.568.2 | 12 | |||
9.2 | odd | 6 | 729.2.e.s.82.1 | 12 | |||
9.4 | even | 3 | 729.2.e.u.325.2 | 12 | |||
9.5 | odd | 6 | 729.2.e.j.325.1 | 12 | |||
9.7 | even | 3 | 729.2.e.l.82.2 | 12 | |||
27.2 | odd | 18 | 729.2.e.j.406.1 | 12 | |||
27.4 | even | 9 | 729.2.c.a.244.1 | 12 | |||
27.5 | odd | 18 | 729.2.c.d.487.6 | 12 | |||
27.7 | even | 9 | inner | 729.2.e.k.163.1 | 12 | ||
27.11 | odd | 18 | 729.2.e.s.649.1 | 12 | |||
27.13 | even | 9 | 729.2.a.e.1.6 | yes | 6 | ||
27.14 | odd | 18 | 729.2.a.b.1.1 | ✓ | 6 | ||
27.16 | even | 9 | 729.2.e.l.649.2 | 12 | |||
27.20 | odd | 18 | 729.2.e.t.163.2 | 12 | |||
27.22 | even | 9 | 729.2.c.a.487.1 | 12 | |||
27.23 | odd | 18 | 729.2.c.d.244.6 | 12 | |||
27.25 | even | 9 | 729.2.e.u.406.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
729.2.a.b.1.1 | ✓ | 6 | 27.14 | odd | 18 | ||
729.2.a.e.1.6 | yes | 6 | 27.13 | even | 9 | ||
729.2.c.a.244.1 | 12 | 27.4 | even | 9 | |||
729.2.c.a.487.1 | 12 | 27.22 | even | 9 | |||
729.2.c.d.244.6 | 12 | 27.23 | odd | 18 | |||
729.2.c.d.487.6 | 12 | 27.5 | odd | 18 | |||
729.2.e.j.325.1 | 12 | 9.5 | odd | 6 | |||
729.2.e.j.406.1 | 12 | 27.2 | odd | 18 | |||
729.2.e.k.163.1 | 12 | 27.7 | even | 9 | inner | ||
729.2.e.k.568.1 | 12 | 1.1 | even | 1 | trivial | ||
729.2.e.l.82.2 | 12 | 9.7 | even | 3 | |||
729.2.e.l.649.2 | 12 | 27.16 | even | 9 | |||
729.2.e.s.82.1 | 12 | 9.2 | odd | 6 | |||
729.2.e.s.649.1 | 12 | 27.11 | odd | 18 | |||
729.2.e.t.163.2 | 12 | 27.20 | odd | 18 | |||
729.2.e.t.568.2 | 12 | 3.2 | odd | 2 | |||
729.2.e.u.325.2 | 12 | 9.4 | even | 3 | |||
729.2.e.u.406.2 | 12 | 27.25 | even | 9 |