Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [342,2,Mod(55,342)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(342, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("342.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 342 = 2 \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 342.u (of order \(9\), degree \(6\), 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: | \(2.73088374913\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 289.1 | ||
Root | \(0.939693 + 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 342.289 |
Dual form | 342.2.u.a.271.1 |
$q$-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 \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | − | 0.342020i | −0.664463 | − | 0.241845i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | −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 | ||||||||
\(7\) | −0.266044 | + | 0.460802i | −0.100555 | + | 0.174167i | −0.911914 | − | 0.410382i | \(-0.865395\pi\) |
0.811358 | + | 0.584549i | \(0.198729\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.11334 | − | 0.405223i | 0.352069 | − | 0.128143i | ||||
\(11\) | 0.939693 | + | 1.62760i | 0.283328 | + | 0.490738i | 0.972202 | − | 0.234142i | \(-0.0752282\pi\) |
−0.688874 | + | 0.724881i | \(0.741895\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.673648 | + | 3.82045i | −0.186836 | + | 1.05960i | 0.736737 | + | 0.676180i | \(0.236366\pi\) |
−0.923573 | + | 0.383422i | \(0.874745\pi\) | |||||||
\(14\) | 0.407604 | − | 0.342020i | 0.108937 | − | 0.0914087i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 1.09240 | + | 0.397600i | 0.264945 | + | 0.0964321i | 0.471077 | − | 0.882092i | \(-0.343865\pi\) |
−0.206132 | + | 0.978524i | \(0.566088\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.93969 | + | 1.86516i | −0.903827 | + | 0.427897i | ||||
\(20\) | −1.18479 | −0.264928 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.326352 | − | 1.85083i | −0.0695784 | − | 0.394599i | ||||
\(23\) | 5.13429 | + | 4.30818i | 1.07057 | + | 0.898317i | 0.995104 | − | 0.0988312i | \(-0.0315104\pi\) |
0.0754683 | + | 0.997148i | \(0.475955\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.624485 | + | 3.54163i | −0.124897 | + | 0.708326i | ||||
\(26\) | 1.93969 | − | 3.35965i | 0.380405 | − | 0.658881i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.500000 | + | 0.181985i | −0.0944911 | + | 0.0343920i | ||||
\(29\) | −3.77972 | + | 1.37570i | −0.701875 | + | 0.255462i | −0.668211 | − | 0.743971i | \(-0.732940\pi\) |
−0.0336640 | + | 0.999433i | \(0.510718\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.979055 | − | 1.69577i | 0.175844 | − | 0.304570i | −0.764609 | − | 0.644494i | \(-0.777068\pi\) |
0.940453 | + | 0.339924i | \(0.110401\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.890530 | − | 0.747243i | −0.152725 | − | 0.128151i | ||||
\(35\) | −0.109470 | − | 0.620838i | −0.0185039 | − | 0.104941i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.88713 | 1.13224 | 0.566118 | − | 0.824324i | \(-0.308445\pi\) | ||||
0.566118 | + | 0.824324i | \(0.308445\pi\) | |||||||
\(38\) | 4.34002 | − | 0.405223i | 0.704045 | − | 0.0657358i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.11334 | + | 0.405223i | 0.176035 | + | 0.0640714i | ||||
\(41\) | 1.56031 | + | 8.84894i | 0.243679 | + | 1.38197i | 0.823540 | + | 0.567258i | \(0.191996\pi\) |
−0.579861 | + | 0.814715i | \(0.696893\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.85844 | − | 1.55942i | 0.283410 | − | 0.237809i | −0.489989 | − | 0.871728i | \(-0.662999\pi\) |
0.773399 | + | 0.633919i | \(0.218555\pi\) | |||||||
\(44\) | −0.326352 | + | 1.85083i | −0.0491994 | + | 0.279024i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.35117 | − | 5.80439i | −0.494103 | − | 0.855811i | ||||
\(47\) | 1.91875 | − | 0.698367i | 0.279878 | − | 0.101867i | −0.198267 | − | 0.980148i | \(-0.563531\pi\) |
0.478145 | + | 0.878281i | \(0.341309\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.35844 | + | 5.81699i | 0.479777 | + | 0.830999i | ||||
\(50\) | 1.79813 | − | 3.11446i | 0.254294 | − | 0.440451i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.97178 | + | 2.49362i | −0.412112 | + | 0.345803i | ||||
\(53\) | −9.93629 | − | 8.33754i | −1.36485 | − | 1.14525i | −0.974450 | − | 0.224605i | \(-0.927891\pi\) |
−0.390404 | − | 0.920643i | \(-0.627665\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.09240 | − | 0.761570i | −0.282139 | − | 0.102690i | ||||
\(56\) | 0.532089 | 0.0711034 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.02229 | 0.528152 | ||||||||
\(59\) | −2.51842 | − | 0.916629i | −0.327870 | − | 0.119335i | 0.172840 | − | 0.984950i | \(-0.444706\pi\) |
−0.500710 | + | 0.865615i | \(0.666928\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.69253 | − | 7.29390i | −1.11296 | − | 0.933888i | −0.114737 | − | 0.993396i | \(-0.536603\pi\) |
−0.998228 | + | 0.0595075i | \(0.981047\pi\) | |||||||
\(62\) | −1.50000 | + | 1.25865i | −0.190500 | + | 0.159849i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −2.29813 | − | 3.98048i | −0.285048 | − | 0.493718i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.4966 | − | 3.82045i | 1.28236 | − | 0.466742i | 0.391150 | − | 0.920327i | \(-0.372077\pi\) |
0.891213 | + | 0.453585i | \(0.149855\pi\) | |||||||
\(68\) | 0.581252 | + | 1.00676i | 0.0704871 | + | 0.122087i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.109470 | + | 0.620838i | −0.0130842 | + | 0.0742043i | ||||
\(71\) | −4.65136 | + | 3.90295i | −0.552015 | + | 0.463195i | −0.875623 | − | 0.482996i | \(-0.839549\pi\) |
0.323608 | + | 0.946191i | \(0.395104\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.0569038 | − | 0.322718i | −0.00666009 | − | 0.0377712i | 0.981297 | − | 0.192502i | \(-0.0616601\pi\) |
−0.987957 | + | 0.154731i | \(0.950549\pi\) | |||||||
\(74\) | −6.47178 | − | 2.35554i | −0.752329 | − | 0.273825i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.21688 | − | 1.10359i | −0.483709 | − | 0.126590i | ||||
\(77\) | −1.00000 | −0.113961 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.80154 | − | 15.8883i | −0.315198 | − | 1.78757i | −0.571109 | − | 0.820874i | \(-0.693487\pi\) |
0.255912 | − | 0.966700i | \(-0.417624\pi\) | |||||||
\(80\) | −0.907604 | − | 0.761570i | −0.101473 | − | 0.0851461i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.56031 | − | 8.84894i | 0.172307 | − | 0.977202i | ||||
\(83\) | 5.78699 | − | 10.0234i | 0.635205 | − | 1.10021i | −0.351267 | − | 0.936275i | \(-0.614249\pi\) |
0.986472 | − | 0.163931i | \(-0.0524175\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.29426 | + | 0.471073i | −0.140383 | + | 0.0510951i | ||||
\(86\) | −2.27972 | + | 0.829748i | −0.245828 | + | 0.0894741i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.939693 | − | 1.62760i | 0.100172 | − | 0.173502i | ||||
\(89\) | 0.618089 | − | 3.50535i | 0.0655173 | − | 0.371567i | −0.934366 | − | 0.356314i | \(-0.884033\pi\) |
0.999884 | − | 0.0152532i | \(-0.00485542\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.58125 | − | 1.32683i | −0.165760 | − | 0.139089i | ||||
\(92\) | 1.16385 | + | 6.60051i | 0.121340 | + | 0.688151i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.04189 | −0.210605 | ||||||||
\(95\) | 2.15523 | − | 4.69318i | 0.221122 | − | 0.481510i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.52481 | − | 2.01087i | −0.560960 | − | 0.204173i | 0.0459494 | − | 0.998944i | \(-0.485369\pi\) |
−0.606909 | + | 0.794771i | \(0.707591\pi\) | |||||||
\(98\) | −1.16637 | − | 6.61484i | −0.117822 | − | 0.668199i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.75490 | + | 2.31164i | −0.275490 | + | 0.231164i | ||||
\(101\) | −2.19594 | + | 12.4538i | −0.218504 | + | 1.23920i | 0.656218 | + | 0.754572i | \(0.272155\pi\) |
−0.874722 | + | 0.484626i | \(0.838956\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.48158 | − | 2.56617i | −0.145985 | − | 0.252853i | 0.783755 | − | 0.621070i | \(-0.213302\pi\) |
−0.929740 | + | 0.368217i | \(0.879968\pi\) | |||||||
\(104\) | 3.64543 | − | 1.32683i | 0.357464 | − | 0.130106i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.48545 | + | 11.2331i | 0.629923 | + | 1.09106i | ||||
\(107\) | 9.55690 | − | 16.5530i | 0.923901 | − | 1.60024i | 0.130581 | − | 0.991438i | \(-0.458316\pi\) |
0.793320 | − | 0.608805i | \(-0.208351\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.5719 | + | 10.5491i | −1.20417 | + | 1.01042i | −0.204670 | + | 0.978831i | \(0.565612\pi\) |
−0.999501 | + | 0.0315888i | \(0.989943\pi\) | |||||||
\(110\) | 1.70574 | + | 1.43128i | 0.162636 | + | 0.136468i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.500000 | − | 0.181985i | −0.0472456 | − | 0.0171960i | ||||
\(113\) | 5.73648 | 0.539643 | 0.269821 | − | 0.962910i | \(-0.413035\pi\) | ||||
0.269821 | + | 0.962910i | \(0.413035\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.94087 | −0.740490 | ||||||||
\(116\) | −3.77972 | − | 1.37570i | −0.350938 | − | 0.127731i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.05303 | + | 1.72270i | 0.188997 | + | 0.158587i | ||||
\(119\) | −0.473841 | + | 0.397600i | −0.0434369 | + | 0.0364479i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.73396 | − | 6.46740i | 0.339451 | − | 0.587946i | ||||
\(122\) | 5.67365 | + | 9.82705i | 0.513668 | + | 0.889699i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.84002 | − | 0.669713i | 0.165239 | − | 0.0601420i | ||||
\(125\) | −5.09240 | − | 8.82029i | −0.455478 | − | 0.788911i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.327696 | + | 1.85846i | −0.0290783 | + | 0.164911i | −0.995889 | − | 0.0905828i | \(-0.971127\pi\) |
0.966811 | + | 0.255494i | \(0.0822381\pi\) | |||||||
\(128\) | 0.766044 | − | 0.642788i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.798133 | + | 4.52644i | 0.0700009 | + | 0.396995i | ||||
\(131\) | 10.0569 | + | 3.66041i | 0.878676 | + | 0.319812i | 0.741675 | − | 0.670759i | \(-0.234032\pi\) |
0.137001 | + | 0.990571i | \(0.456254\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.188663 | − | 2.31164i | 0.0163592 | − | 0.200444i | ||||
\(134\) | −11.1702 | −0.964962 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.201867 | − | 1.14484i | −0.0173099 | − | 0.0981695i | ||||
\(137\) | 8.62314 | + | 7.23567i | 0.736725 | + | 0.618185i | 0.931956 | − | 0.362572i | \(-0.118101\pi\) |
−0.195231 | + | 0.980757i | \(0.562546\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.11334 | + | 11.9854i | −0.179251 | + | 1.01658i | 0.753870 | + | 0.657023i | \(0.228185\pi\) |
−0.933122 | + | 0.359561i | \(0.882926\pi\) | |||||||
\(140\) | 0.315207 | − | 0.545955i | 0.0266399 | − | 0.0461416i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.70574 | − | 2.07672i | 0.478815 | − | 0.174274i | ||||
\(143\) | −6.85117 | + | 2.49362i | −0.572923 | + | 0.208527i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.38279 | − | 4.12711i | 0.197880 | − | 0.342738i | ||||
\(146\) | −0.0569038 | + | 0.322718i | −0.00470939 | + | 0.0267083i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.27584 | + | 4.42696i | 0.433672 | + | 0.363894i | ||||
\(149\) | 2.84002 | + | 16.1066i | 0.232664 | + | 1.31950i | 0.847478 | + | 0.530830i | \(0.178120\pi\) |
−0.614815 | + | 0.788672i | \(0.710769\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 20.5226 | 1.67010 | 0.835052 | − | 0.550170i | \(-0.185437\pi\) | ||||
0.835052 | + | 0.550170i | \(0.185437\pi\) | |||||||
\(152\) | 3.58512 | + | 2.47929i | 0.290792 | + | 0.201097i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.939693 | + | 0.342020i | 0.0757226 | + | 0.0275608i | ||||
\(155\) | 0.402856 | + | 2.28471i | 0.0323582 | + | 0.183512i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.45084 | + | 2.05650i | −0.195598 | + | 0.164126i | −0.735327 | − | 0.677713i | \(-0.762971\pi\) |
0.539729 | + | 0.841839i | \(0.318527\pi\) | |||||||
\(158\) | −2.80154 | + | 15.8883i | −0.222878 | + | 1.26401i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.592396 | + | 1.02606i | 0.0468330 | + | 0.0811172i | ||||
\(161\) | −3.35117 | + | 1.21972i | −0.264109 | + | 0.0961278i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.0039 | + | 20.7913i | 0.940216 | + | 1.62850i | 0.765058 | + | 0.643961i | \(0.222710\pi\) |
0.175157 | + | 0.984540i | \(0.443957\pi\) | |||||||
\(164\) | −4.49273 | + | 7.78163i | −0.350823 | + | 0.607643i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −8.86618 | + | 7.43961i | −0.688149 | + | 0.577426i | ||||
\(167\) | −2.80406 | − | 2.35289i | −0.216985 | − | 0.182072i | 0.527816 | − | 0.849359i | \(-0.323011\pi\) |
−0.744801 | + | 0.667287i | \(0.767456\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.92602 | − | 0.701015i | −0.148156 | − | 0.0539242i | ||||
\(170\) | 1.37733 | 0.105636 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.42602 | 0.184982 | ||||||||
\(173\) | −5.01114 | − | 1.82391i | −0.380990 | − | 0.138669i | 0.144424 | − | 0.989516i | \(-0.453867\pi\) |
−0.525414 | + | 0.850847i | \(0.676089\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.46585 | − | 1.23000i | −0.110808 | − | 0.0929789i | ||||
\(176\) | −1.43969 | + | 1.20805i | −0.108521 | + | 0.0910599i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.77972 | + | 3.08256i | −0.133395 | + | 0.231047i | ||||
\(179\) | −12.6284 | − | 21.8730i | −0.943888 | − | 1.63486i | −0.757963 | − | 0.652297i | \(-0.773805\pi\) |
−0.185924 | − | 0.982564i | \(-0.559528\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.2626 | − | 5.91912i | 1.20879 | − | 0.439965i | 0.342508 | − | 0.939515i | \(-0.388724\pi\) |
0.866285 | + | 0.499550i | \(0.166501\pi\) | |||||||
\(182\) | 1.03209 | + | 1.78763i | 0.0765035 | + | 0.132508i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.16385 | − | 6.60051i | 0.0858000 | − | 0.486596i | ||||
\(185\) | −6.25078 | + | 5.24503i | −0.459567 | + | 0.385622i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.379385 | + | 2.15160i | 0.0277434 | + | 0.157341i | ||||
\(188\) | 1.91875 | + | 0.698367i | 0.139939 | + | 0.0509337i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.63041 | + | 3.67301i | −0.263378 | + | 0.266468i | ||||
\(191\) | 15.1780 | 1.09824 | 0.549120 | − | 0.835743i | \(-0.314963\pi\) | ||||
0.549120 | + | 0.835743i | \(0.314963\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.25877 | + | 12.8101i | 0.162590 | + | 0.922093i | 0.951515 | + | 0.307603i | \(0.0995269\pi\) |
−0.788925 | + | 0.614490i | \(0.789362\pi\) | |||||||
\(194\) | 4.50387 | + | 3.77920i | 0.323359 | + | 0.271330i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.16637 | + | 6.61484i | −0.0833124 | + | 0.472488i | ||||
\(197\) | −4.47431 | + | 7.74973i | −0.318781 | + | 0.552145i | −0.980234 | − | 0.197842i | \(-0.936607\pi\) |
0.661453 | + | 0.749987i | \(0.269940\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.23308 | − | 1.54071i | 0.300075 | − | 0.109218i | −0.187595 | − | 0.982246i | \(-0.560069\pi\) |
0.487670 | + | 0.873028i | \(0.337847\pi\) | |||||||
\(200\) | 3.37939 | − | 1.23000i | 0.238959 | − | 0.0869738i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.32295 | − | 10.9517i | 0.444881 | − | 0.770557i | ||||
\(203\) | 0.371644 | − | 2.10770i | 0.0260843 | − | 0.147932i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.15523 | − | 6.84305i | −0.569586 | − | 0.477939i | ||||
\(206\) | 0.514548 | + | 2.91815i | 0.0358503 | + | 0.203317i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.87939 | −0.268987 | ||||||||
\(209\) | −6.73783 | − | 4.65955i | −0.466065 | − | 0.322308i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.01754 | + | 2.19021i | 0.414265 | + | 0.150780i | 0.540740 | − | 0.841190i | \(-0.318144\pi\) |
−0.126475 | + | 0.991970i | \(0.540366\pi\) | |||||||
\(212\) | −2.25237 | − | 12.7738i | −0.154694 | − | 0.877311i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −14.6420 | + | 12.2861i | −1.00091 | + | 0.839862i | ||||
\(215\) | −0.499123 | + | 2.83067i | −0.0340399 | + | 0.193050i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.520945 | + | 0.902302i | 0.0353640 | + | 0.0612523i | ||||
\(218\) | 15.4217 | − | 5.61305i | 1.04449 | − | 0.380164i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.11334 | − | 1.92836i | −0.0750614 | − | 0.130010i | ||||
\(221\) | −2.25490 | + | 3.90560i | −0.151681 | + | 0.262719i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.48886 | − | 2.08840i | 0.166666 | − | 0.139849i | −0.555640 | − | 0.831423i | \(-0.687527\pi\) |
0.722306 | + | 0.691574i | \(0.243082\pi\) | |||||||
\(224\) | 0.407604 | + | 0.342020i | 0.0272342 | + | 0.0228522i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.39053 | − | 1.96199i | −0.358573 | − | 0.130510i | ||||
\(227\) | 11.7023 | 0.776711 | 0.388356 | − | 0.921510i | \(-0.373043\pi\) | ||||
0.388356 | + | 0.921510i | \(0.373043\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.9067 | −1.51372 | −0.756860 | − | 0.653578i | \(-0.773267\pi\) | ||||
−0.756860 | + | 0.653578i | \(0.773267\pi\) | |||||||
\(230\) | 7.46198 | + | 2.71594i | 0.492028 | + | 0.179084i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.08125 | + | 2.58548i | 0.202294 | + | 0.169745i | ||||
\(233\) | 2.45084 | − | 2.05650i | 0.160560 | − | 0.134726i | −0.558968 | − | 0.829189i | \(-0.688803\pi\) |
0.719528 | + | 0.694463i | \(0.244358\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.20961 | + | 2.09510i | −0.0789061 | + | 0.136669i | ||||
\(236\) | −1.34002 | − | 2.32099i | −0.0872280 | − | 0.151083i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.581252 | − | 0.211558i | 0.0376770 | − | 0.0137133i | ||||
\(239\) | 3.08647 | + | 5.34592i | 0.199647 | + | 0.345799i | 0.948414 | − | 0.317035i | \(-0.102687\pi\) |
−0.748767 | + | 0.662833i | \(0.769354\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.266922 | − | 1.51379i | 0.0171939 | − | 0.0975117i | −0.975003 | − | 0.222191i | \(-0.928679\pi\) |
0.992197 | + | 0.124679i | \(0.0397902\pi\) | |||||||
\(242\) | −5.72075 | + | 4.80028i | −0.367744 | + | 0.308574i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.97044 | − | 11.1749i | −0.126144 | − | 0.715400i | ||||
\(245\) | −7.47818 | − | 2.72183i | −0.477763 | − | 0.173892i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.47178 | − | 16.3079i | −0.284533 | − | 1.03764i | ||||
\(248\) | −1.95811 | −0.124340 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.76857 | + | 10.0301i | 0.111854 | + | 0.634357i | ||||
\(251\) | −13.7456 | − | 11.5339i | −0.867612 | − | 0.728013i | 0.0959815 | − | 0.995383i | \(-0.469401\pi\) |
−0.963594 | + | 0.267370i | \(0.913845\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.18732 | + | 12.4049i | −0.137516 | + | 0.779889i | ||||
\(254\) | 0.943563 | − | 1.63430i | 0.0592044 | − | 0.102545i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 27.6386 | − | 10.0596i | 1.72405 | − | 0.627503i | 0.725871 | − | 0.687831i | \(-0.241437\pi\) |
0.998179 | + | 0.0603277i | \(0.0192146\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.83228 | + | 3.17360i | −0.113852 | + | 0.197198i | ||||
\(260\) | 0.798133 | − | 4.52644i | 0.0494981 | − | 0.280718i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.19846 | − | 6.87933i | −0.506503 | − | 0.425006i | ||||
\(263\) | −1.85504 | − | 10.5204i | −0.114386 | − | 0.648718i | −0.987052 | − | 0.160400i | \(-0.948722\pi\) |
0.872666 | − | 0.488318i | \(-0.162389\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.3678 | 0.944038 | ||||||||
\(266\) | −0.967911 | + | 2.10770i | −0.0593464 | + | 0.129231i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 10.4966 | + | 3.82045i | 0.641182 | + | 0.233371i | ||||
\(269\) | 3.57310 | + | 20.2641i | 0.217856 | + | 1.23552i | 0.875882 | + | 0.482526i | \(0.160281\pi\) |
−0.658026 | + | 0.752995i | \(0.728608\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.43763 | − | 1.20632i | 0.0873300 | − | 0.0732786i | −0.598078 | − | 0.801438i | \(-0.704069\pi\) |
0.685408 | + | 0.728160i | \(0.259624\pi\) | |||||||
\(272\) | −0.201867 | + | 1.14484i | −0.0122400 | + | 0.0694163i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.62836 | − | 9.74860i | −0.340021 | − | 0.588934i | ||||
\(275\) | −6.35117 | + | 2.31164i | −0.382990 | + | 0.139397i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.43629 | − | 4.21978i | −0.146382 | − | 0.253542i | 0.783505 | − | 0.621385i | \(-0.213430\pi\) |
−0.929888 | + | 0.367843i | \(0.880096\pi\) | |||||||
\(278\) | 6.08512 | − | 10.5397i | 0.364961 | − | 0.632132i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.482926 | + | 0.405223i | −0.0288603 | + | 0.0242167i | ||||
\(281\) | 0.309278 | + | 0.259515i | 0.0184500 | + | 0.0154814i | 0.651966 | − | 0.758248i | \(-0.273944\pi\) |
−0.633516 | + | 0.773730i | \(0.718389\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.5287 | − | 6.01595i | −0.982528 | − | 0.357611i | −0.199706 | − | 0.979856i | \(-0.563999\pi\) |
−0.782823 | + | 0.622245i | \(0.786221\pi\) | |||||||
\(284\) | −6.07192 | −0.360302 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.29086 | 0.431118 | ||||||||
\(287\) | −4.49273 | − | 1.63522i | −0.265197 | − | 0.0965239i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.9875 | − | 10.0587i | −0.705148 | − | 0.591689i | ||||
\(290\) | −3.65064 | + | 3.06325i | −0.214373 | + | 0.179880i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.163848 | − | 0.283793i | 0.00958848 | − | 0.0166077i | ||||
\(293\) | −6.58765 | − | 11.4101i | −0.384855 | − | 0.666588i | 0.606894 | − | 0.794782i | \(-0.292415\pi\) |
−0.991749 | + | 0.128195i | \(0.959082\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.98380 | − | 1.08602i | 0.173724 | − | 0.0632303i | ||||
\(296\) | −3.44356 | − | 5.96443i | −0.200153 | − | 0.346675i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.84002 | − | 16.1066i | 0.164518 | − | 0.933028i | ||||
\(299\) | −19.9179 | + | 16.7131i | −1.15188 | + | 0.966542i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.224155 | + | 1.27125i | 0.0129201 | + | 0.0732735i | ||||
\(302\) | −19.2849 | − | 7.01914i | −1.10972 | − | 0.403906i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.52094 | − | 3.55596i | −0.144586 | − | 0.203948i | ||||
\(305\) | 13.4442 | 0.769812 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.93494 | + | 16.6449i | 0.167506 | + | 0.949975i | 0.946443 | + | 0.322872i | \(0.104648\pi\) |
−0.778937 | + | 0.627103i | \(0.784241\pi\) | |||||||
\(308\) | −0.766044 | − | 0.642788i | −0.0436494 | − | 0.0366262i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.402856 | − | 2.28471i | 0.0228807 | − | 0.129763i | ||||
\(311\) | −1.19072 | + | 2.06239i | −0.0675197 | + | 0.116947i | −0.897809 | − | 0.440385i | \(-0.854842\pi\) |
0.830289 | + | 0.557333i | \(0.188175\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 28.0621 | − | 10.2138i | 1.58616 | − | 0.577317i | 0.609632 | − | 0.792685i | \(-0.291317\pi\) |
0.976533 | + | 0.215368i | \(0.0690951\pi\) | |||||||
\(314\) | 3.00640 | − | 1.09424i | 0.169661 | − | 0.0617515i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.06670 | − | 13.9719i | 0.453788 | − | 0.785983i | ||||
\(317\) | 1.21941 | − | 6.91560i | 0.0684888 | − | 0.388419i | −0.931224 | − | 0.364448i | \(-0.881258\pi\) |
0.999713 | − | 0.0239714i | \(-0.00763107\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.79086 | − | 4.85911i | −0.324226 | − | 0.272058i | ||||
\(320\) | −0.205737 | − | 1.16679i | −0.0115011 | − | 0.0652257i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.56624 | 0.198739 | ||||||||
\(323\) | −5.04529 | + | 0.471073i | −0.280728 | + | 0.0262112i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.1099 | − | 4.77163i | −0.727208 | − | 0.264682i | ||||
\(326\) | −4.16890 | − | 23.6430i | −0.230894 | − | 1.30947i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.88326 | − | 5.77574i | 0.380064 | − | 0.318912i | ||||
\(329\) | −0.188663 | + | 1.06996i | −0.0104013 | + | 0.0589888i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.5993 | − | 23.5546i | −0.747483 | − | 1.29468i | −0.949026 | − | 0.315199i | \(-0.897929\pi\) |
0.201543 | − | 0.979480i | \(-0.435404\pi\) | |||||||
\(332\) | 10.8760 | − | 3.95853i | 0.596897 | − | 0.217253i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.83022 | + | 3.17004i | 0.100145 | + | 0.173457i | ||||
\(335\) | −6.61721 | + | 11.4613i | −0.361537 | + | 0.626200i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.59286 | + | 7.21027i | −0.468083 | + | 0.392768i | −0.846095 | − | 0.533032i | \(-0.821052\pi\) |
0.378012 | + | 0.925801i | \(0.376608\pi\) | |||||||
\(338\) | 1.57011 | + | 1.31748i | 0.0854026 | + | 0.0716613i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.29426 | − | 0.471073i | −0.0701913 | − | 0.0255475i | ||||
\(341\) | 3.68004 | 0.199286 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.29860 | −0.394087 | ||||||||
\(344\) | −2.27972 | − | 0.829748i | −0.122914 | − | 0.0447370i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.08512 | + | 3.42782i | 0.219618 | + | 0.184281i | ||||
\(347\) | −1.48293 | + | 1.24432i | −0.0796076 | + | 0.0667987i | −0.681723 | − | 0.731610i | \(-0.738769\pi\) |
0.602115 | + | 0.798409i | \(0.294325\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.19846 | + | 12.4681i | −0.385325 | + | 0.667402i | −0.991814 | − | 0.127689i | \(-0.959244\pi\) |
0.606489 | + | 0.795092i | \(0.292577\pi\) | |||||||
\(350\) | 0.956767 | + | 1.65717i | 0.0511413 | + | 0.0885794i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.76604 | − | 0.642788i | 0.0941305 | − | 0.0342607i | ||||
\(353\) | 7.86184 | + | 13.6171i | 0.418444 | + | 0.724766i | 0.995783 | − | 0.0917384i | \(-0.0292424\pi\) |
−0.577339 | + | 0.816504i | \(0.695909\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.24922 | − | 7.08467i | 0.0663016 | − | 0.376015i | ||||
\(356\) | 2.72668 | − | 2.28796i | 0.144514 | − | 0.121262i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.38578 | + | 24.8730i | 0.231796 | + | 1.31458i | ||||
\(359\) | 14.5817 | + | 5.30731i | 0.769594 | + | 0.280109i | 0.696826 | − | 0.717240i | \(-0.254595\pi\) |
0.0727672 | + | 0.997349i | \(0.476817\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.0424 | − | 14.6963i | 0.633808 | − | 0.773490i | ||||
\(362\) | −17.3063 | −0.909601 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.358441 | − | 2.03282i | −0.0187874 | − | 0.106549i | ||||
\(365\) | 0.297418 | + | 0.249563i | 0.0155676 | + | 0.0130627i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.73396 | + | 15.5050i | −0.142711 | + | 0.809356i | 0.826465 | + | 0.562988i | \(0.190348\pi\) |
−0.969176 | + | 0.246368i | \(0.920763\pi\) | |||||||
\(368\) | −3.35117 | + | 5.80439i | −0.174692 | + | 0.302575i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.66772 | − | 2.79082i | 0.398626 | − | 0.145088i | ||||
\(371\) | 6.48545 | − | 2.36051i | 0.336708 | − | 0.122552i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.8143 | − | 25.6592i | 0.767057 | − | 1.32858i | −0.172095 | − | 0.985080i | \(-0.555054\pi\) |
0.939152 | − | 0.343501i | \(-0.111613\pi\) | |||||||
\(374\) | 0.379385 | − | 2.15160i | 0.0196175 | − | 0.111257i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.56418 | − | 1.31250i | −0.0806663 | − | 0.0676871i | ||||
\(377\) | −2.70961 | − | 15.3669i | −0.139552 | − | 0.791438i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.72462 | 0.242688 | 0.121344 | − | 0.992611i | \(-0.461280\pi\) | ||||
0.121344 | + | 0.992611i | \(0.461280\pi\) | |||||||
\(380\) | 4.66772 | − | 2.20983i | 0.239449 | − | 0.113362i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.2626 | − | 5.19118i | −0.729740 | − | 0.265604i | ||||
\(383\) | 0.910130 | + | 5.16160i | 0.0465055 | + | 0.263746i | 0.999191 | − | 0.0402115i | \(-0.0128032\pi\) |
−0.952686 | + | 0.303957i | \(0.901692\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.907604 | − | 0.761570i | 0.0462558 | − | 0.0388132i | ||||
\(386\) | 2.25877 | − | 12.8101i | 0.114968 | − | 0.652018i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.93969 | − | 5.09170i | −0.149240 | − | 0.258492i | ||||
\(389\) | −14.1677 | + | 5.15663i | −0.718332 | + | 0.261451i | −0.675217 | − | 0.737619i | \(-0.735950\pi\) |
−0.0431144 | + | 0.999070i | \(0.513728\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.89574 | + | 6.74763i | 0.197016 | + | 0.341242i | ||||
\(392\) | 3.35844 | − | 5.81699i | 0.169627 | − | 0.293802i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.85504 | − | 5.75206i | 0.345352 | − | 0.289785i | ||||
\(395\) | 14.6427 | + | 12.2867i | 0.736756 | + | 0.618212i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.6677 | + | 4.97464i | 0.685963 | + | 0.249670i | 0.661406 | − | 0.750028i | \(-0.269960\pi\) |
0.0245573 | + | 0.999698i | \(0.492182\pi\) | |||||||
\(398\) | −4.50475 | −0.225803 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.59627 | −0.179813 | ||||||||
\(401\) | 2.68257 | + | 0.976376i | 0.133961 | + | 0.0487579i | 0.408131 | − | 0.912923i | \(-0.366181\pi\) |
−0.274170 | + | 0.961681i | \(0.588403\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.81908 | + | 4.88279i | 0.289869 | + | 0.243229i | ||||
\(404\) | −9.68732 | + | 8.12863i | −0.481962 | + | 0.404414i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.07011 | + | 1.85348i | −0.0531085 | + | 0.0919867i | ||||
\(407\) | 6.47178 | + | 11.2095i | 0.320794 | + | 0.555632i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −32.1634 | + | 11.7065i | −1.59038 | + | 0.578851i | −0.977428 | − | 0.211269i | \(-0.932240\pi\) |
−0.612952 | + | 0.790120i | \(0.710018\pi\) | |||||||
\(410\) | 5.32295 | + | 9.21962i | 0.262882 | + | 0.455324i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.514548 | − | 2.91815i | 0.0253500 | − | 0.143767i | ||||
\(413\) | 1.09240 | − | 0.916629i | 0.0537533 | − | 0.0451044i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.38120 | + | 13.5044i | 0.116888 | + | 0.662907i | ||||
\(416\) | 3.64543 | + | 1.32683i | 0.178732 | + | 0.0650531i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.73783 | + | 6.68302i | 0.231735 | + | 0.326877i | ||||
\(419\) | 7.91891 | 0.386864 | 0.193432 | − | 0.981114i | \(-0.438038\pi\) | ||||
0.193432 | + | 0.981114i | \(0.438038\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.81480 | + | 15.9635i | 0.137185 | + | 0.778014i | 0.973313 | + | 0.229480i | \(0.0737026\pi\) |
−0.836129 | + | 0.548534i | \(0.815186\pi\) | |||||||
\(422\) | −4.90554 | − | 4.11624i | −0.238798 | − | 0.200375i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.25237 | + | 12.7738i | −0.109385 | + | 0.620353i | ||||
\(425\) | −2.09034 | + | 3.62057i | −0.101396 | + | 0.175623i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.67365 | − | 2.06504i | 0.274567 | − | 0.0999342i | ||||
\(428\) | 17.9611 | − | 6.53731i | 0.868183 | − | 0.315993i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.43717 | − | 2.48925i | 0.0693063 | − | 0.120042i | ||||
\(431\) | −4.41622 | + | 25.0456i | −0.212722 | + | 1.20641i | 0.672094 | + | 0.740466i | \(0.265395\pi\) |
−0.884816 | + | 0.465940i | \(0.845716\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.07604 | + | 7.61570i | 0.436167 | + | 0.365987i | 0.834273 | − | 0.551352i | \(-0.185888\pi\) |
−0.398106 | + | 0.917339i | \(0.630332\pi\) | |||||||
\(434\) | −0.180922 | − | 1.02606i | −0.00868454 | − | 0.0492525i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −16.4115 | −0.785967 | ||||||||
\(437\) | −28.2629 | − | 7.39663i | −1.35200 | − | 0.353829i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −24.3002 | − | 8.84457i | −1.15979 | − | 0.422128i | −0.310766 | − | 0.950486i | \(-0.600586\pi\) |
−0.849022 | + | 0.528358i | \(0.822808\pi\) | |||||||
\(440\) | 0.386659 | + | 2.19285i | 0.0184333 | + | 0.104540i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.45471 | − | 2.89884i | 0.164324 | − | 0.137884i | ||||
\(443\) | −0.160282 | + | 0.909006i | −0.00761524 | + | 0.0431882i | −0.988379 | − | 0.152012i | \(-0.951425\pi\) |
0.980763 | + | 0.195201i | \(0.0625358\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.10859 | + | 3.65219i | 0.0999569 | + | 0.173130i | ||||
\(446\) | −3.05303 | + | 1.11121i | −0.144565 | + | 0.0526175i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.266044 | − | 0.460802i | −0.0125694 | − | 0.0217709i | ||||
\(449\) | 4.67230 | − | 8.09267i | 0.220500 | − | 0.381917i | −0.734460 | − | 0.678652i | \(-0.762565\pi\) |
0.954960 | + | 0.296735i | \(0.0958979\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.9363 | + | 10.8548i | −0.609146 | + | 0.511134i | ||||
\(452\) | 4.39440 | + | 3.68734i | 0.206695 | + | 0.173438i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.9966 | − | 4.00243i | −0.516096 | − | 0.187844i | ||||
\(455\) | 2.44562 | 0.114653 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 30.9009 | 1.44548 | 0.722740 | − | 0.691120i | \(-0.242882\pi\) | ||||
0.722740 | + | 0.691120i | \(0.242882\pi\) | |||||||
\(458\) | 21.5253 | + | 7.83456i | 1.00581 | + | 0.366085i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.08306 | − | 5.10430i | −0.283624 | − | 0.237989i | ||||
\(461\) | 22.7422 | − | 19.0829i | 1.05921 | − | 0.888781i | 0.0651765 | − | 0.997874i | \(-0.479239\pi\) |
0.994032 | + | 0.109093i | \(0.0347945\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.91534 | − | 10.2457i | 0.274909 | − | 0.476157i | −0.695203 | − | 0.718814i | \(-0.744685\pi\) |
0.970112 | + | 0.242657i | \(0.0780188\pi\) | |||||||
\(464\) | −2.01114 | − | 3.48340i | −0.0933650 | − | 0.161713i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.00640 | + | 1.09424i | −0.139269 | + | 0.0506896i | ||||
\(467\) | 19.1591 | + | 33.1845i | 0.886577 | + | 1.53560i | 0.843895 | + | 0.536508i | \(0.180257\pi\) |
0.0426825 | + | 0.999089i | \(0.486410\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.03209 | + | 5.85327i | −0.0476574 | + | 0.270279i | ||||
\(470\) | 1.85323 | − | 1.55504i | 0.0854829 | − | 0.0717287i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.465385 | + | 2.63933i | 0.0214211 | + | 0.121485i | ||||
\(473\) | 4.28446 | + | 1.55942i | 0.197000 | + | 0.0717021i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.14543 | − | 15.1177i | −0.190205 | − | 0.693648i | ||||
\(476\) | −0.618555 | −0.0283514 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.07192 | − | 6.07915i | −0.0490284 | − | 0.278054i | ||||
\(479\) | −28.5612 | − | 23.9657i | −1.30500 | − | 1.09502i | −0.989259 | − | 0.146176i | \(-0.953304\pi\) |
−0.315738 | − | 0.948846i | \(-0.602252\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.63950 | + | 26.3119i | −0.211543 | + | 1.19972i | ||||
\(482\) | −0.768571 | + | 1.33120i | −0.0350074 | + | 0.0606347i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.01754 | − | 2.55418i | 0.318979 | − | 0.116099i | ||||
\(485\) | 6.54576 | − | 2.38246i | 0.297228 | − | 0.108182i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.4893 | + | 28.5603i | −0.747203 | + | 1.29419i | 0.201956 | + | 0.979395i | \(0.435270\pi\) |
−0.949159 | + | 0.314798i | \(0.898063\pi\) | |||||||
\(488\) | −1.97044 | + | 11.1749i | −0.0891975 | + | 0.505864i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.09627 | + | 5.11538i | 0.275401 | + | 0.231089i | ||||
\(491\) | −3.07027 | − | 17.4124i | −0.138559 | − | 0.785809i | −0.972315 | − | 0.233675i | \(-0.924925\pi\) |
0.833755 | − | 0.552134i | \(-0.186186\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.67593 | −0.210593 | ||||||||
\(494\) | −1.37551 | + | 16.8538i | −0.0618873 | + | 0.758289i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.84002 | + | 0.669713i | 0.0826194 | + | 0.0300710i | ||||
\(497\) | −0.561023 | − | 3.18172i | −0.0251653 | − | 0.142720i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 20.7781 | − | 17.4349i | 0.930157 | − | 0.780494i | −0.0456890 | − | 0.998956i | \(-0.514548\pi\) |
0.975846 | + | 0.218462i | \(0.0701039\pi\) | |||||||
\(500\) | 1.76857 | − | 10.0301i | 0.0790929 | − | 0.448558i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.97178 | + | 15.5396i | 0.400430 | + | 0.693565i | ||||
\(503\) | 0.536837 | − | 0.195393i | 0.0239364 | − | 0.00871212i | −0.330024 | − | 0.943972i | \(-0.607057\pi\) |
0.353961 | + | 0.935260i | \(0.384835\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.49138 | − | 12.9755i | −0.333362 | − | 0.577400i | ||||
\(506\) | 6.29813 | − | 10.9087i | 0.279986 | − | 0.484950i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.44562 | + | 1.21302i | −0.0641391 | + | 0.0538191i | ||||
\(509\) | −31.0638 | − | 26.0656i | −1.37688 | − | 1.15534i | −0.970352 | − | 0.241698i | \(-0.922296\pi\) |
−0.406526 | − | 0.913639i | \(-0.633260\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.163848 | + | 0.0596358i | 0.00724821 | + | 0.00263813i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −29.4124 | −1.29733 | ||||||||
\(515\) | 3.29901 | + | 1.20074i | 0.145372 | + | 0.0529110i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.93969 | + | 2.46669i | 0.129288 | + | 0.108485i | ||||
\(518\) | 2.80722 | − | 2.35554i | 0.123342 | − | 0.103496i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.29813 | + | 3.98048i | −0.100780 | + | 0.174556i | ||||
\(521\) | 9.44996 | + | 16.3678i | 0.414010 | + | 0.717087i | 0.995324 | − | 0.0965927i | \(-0.0307944\pi\) |
−0.581314 | + | 0.813680i | \(0.697461\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.45589 | − | 1.62181i | 0.194842 | − | 0.0709168i | −0.242756 | − | 0.970087i | \(-0.578051\pi\) |
0.437598 | + | 0.899171i | \(0.355829\pi\) | |||||||
\(524\) | 5.35117 | + | 9.26849i | 0.233767 | + | 0.404896i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.85504 | + | 10.5204i | −0.0808835 | + | 0.458713i | ||||
\(527\) | 1.74376 | − | 1.46318i | 0.0759592 | − | 0.0637373i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.80659 | + | 21.5882i | 0.165504 | + | 0.938619i | ||||
\(530\) | −14.4410 | − | 5.25611i | −0.627279 | − | 0.228311i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.63041 | − | 1.64955i | 0.0706875 | − | 0.0715169i | ||||
\(533\) | −34.8580 | −1.50987 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.93242 | + | 22.3019i | 0.170013 | + | 0.964193i | ||||
\(536\) | −8.55690 | − | 7.18009i | −0.369602 | − | 0.310133i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.57310 | − | 20.2641i | 0.154047 | − | 0.873646i | ||||
\(539\) | −6.31180 | + | 10.9324i | −0.271869 | + | 0.470890i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 26.6506 | − | 9.70004i | 1.14580 | − | 0.417037i | 0.301796 | − | 0.953373i | \(-0.402414\pi\) |
0.844005 | + | 0.536335i | \(0.180192\pi\) | |||||||
\(542\) | −1.76352 | + | 0.641868i | −0.0757496 | + | 0.0275706i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.581252 | − | 1.00676i | 0.0249210 | − | 0.0431644i | ||||
\(545\) | 3.37645 | − | 19.1488i | 0.144631 | − | 0.820244i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.27063 | − | 4.42258i | −0.225356 | − | 0.189096i | 0.523118 | − | 0.852260i | \(-0.324769\pi\) |
−0.748474 | + | 0.663164i | \(0.769213\pi\) | |||||||
\(548\) | 1.95471 | + | 11.0857i | 0.0835010 | + | 0.473557i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.75877 | 0.288195 | ||||||||
\(551\) | 12.3250 | − | 12.4696i | 0.525063 | − | 0.531224i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.06670 | + | 2.93604i | 0.343031 | + | 0.124853i | ||||
\(554\) | 0.846114 | + | 4.79855i | 0.0359480 | + | 0.203871i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.32295 | + | 7.82288i | −0.395381 | + | 0.331764i | ||||
\(557\) | 2.45929 | − | 13.9473i | 0.104204 | − | 0.590968i | −0.887332 | − | 0.461131i | \(-0.847444\pi\) |
0.991535 | − | 0.129836i | \(-0.0414452\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.70574 | + | 8.15058i | 0.199031 | + | 0.344733i | ||||
\(560\) | 0.592396 | − | 0.215615i | 0.0250333 | − | 0.00911138i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.201867 | − | 0.349643i | −0.00851523 | − | 0.0147488i | ||||
\(563\) | −18.1275 | + | 31.3977i | −0.763982 | + | 1.32326i | 0.176801 | + | 0.984247i | \(0.443425\pi\) |
−0.940783 | + | 0.339009i | \(0.889908\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.20645 | + | 4.36873i | −0.219037 | + | 0.183794i | ||||
\(566\) | 13.4743 | + | 11.3063i | 0.566367 | + | 0.475239i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.70574 | + | 2.07672i | 0.239407 | + | 0.0871372i | ||||
\(569\) | 30.2918 | 1.26990 | 0.634949 | − | 0.772554i | \(-0.281021\pi\) | ||||
0.634949 | + | 0.772554i | \(0.281021\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.39094 | 0.141906 | 0.0709532 | − | 0.997480i | \(-0.477396\pi\) | ||||
0.0709532 | + | 0.997480i | \(0.477396\pi\) | |||||||
\(572\) | −6.85117 | − | 2.49362i | −0.286462 | − | 0.104264i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.66250 | + | 3.07321i | 0.152870 | + | 0.128273i | ||||
\(575\) | −18.4643 | + | 15.4934i | −0.770013 | + | 0.646117i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.1514 | − | 19.3147i | 0.464237 | − | 0.804082i | −0.534930 | − | 0.844897i | \(-0.679662\pi\) |
0.999167 | + | 0.0408143i | \(0.0129952\pi\) | |||||||
\(578\) | 7.82429 | + | 13.5521i | 0.325448 | + | 0.563692i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.47818 | − | 1.62992i | 0.185946 | − | 0.0676789i | ||||
\(581\) | 3.07919 | + | 5.33332i | 0.127746 | + | 0.221263i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.23308 | − | 24.0070i | 0.175316 | − | 0.994268i | ||||
\(584\) | −0.251030 | + | 0.210639i | −0.0103877 | + | 0.00871630i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.28787 | + | 12.9751i | 0.0945109 | + | 0.535998i | ||||
\(587\) | −27.0164 | − | 9.83315i | −1.11508 | − | 0.405858i | −0.282228 | − | 0.959347i | \(-0.591074\pi\) |
−0.832856 | + | 0.553490i | \(0.813296\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.694288 | + | 8.50692i | −0.0286076 | + | 0.350522i | ||||
\(590\) | −3.17530 | −0.130725 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.19594 | + | 6.78250i | 0.0491527 | + | 0.278759i | ||||
\(593\) | −9.02094 | − | 7.56947i | −0.370446 | − | 0.310841i | 0.438492 | − | 0.898735i | \(-0.355513\pi\) |
−0.808938 | + | 0.587894i | \(0.799957\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.127260 | − | 0.721726i | 0.00521714 | − | 0.0295879i | ||||
\(596\) | −8.17752 | + | 14.1639i | −0.334964 | + | 0.580175i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 24.4329 | − | 8.89284i | 0.999135 | − | 0.363655i | ||||
\(599\) | −20.3268 | + | 7.39836i | −0.830531 | + | 0.302289i | −0.722077 | − | 0.691813i | \(-0.756812\pi\) |
−0.108454 | + | 0.994101i | \(0.534590\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.0967 | − | 22.6842i | 0.534227 | − | 0.925308i | −0.464973 | − | 0.885325i | \(-0.653936\pi\) |
0.999200 | − | 0.0399835i | \(-0.0127305\pi\) | |||||||
\(602\) | 0.224155 | − | 1.27125i | 0.00913589 | − | 0.0518122i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 15.7212 | + | 13.1917i | 0.639687 | + | 0.536761i | ||||
\(605\) | 1.53643 | + | 8.71351i | 0.0624646 | + | 0.354254i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −13.2249 | −0.536783 | −0.268392 | − | 0.963310i | \(-0.586492\pi\) | ||||
−0.268392 | + | 0.963310i | \(0.586492\pi\) | |||||||
\(608\) | 1.15270 | + | 4.20372i | 0.0467483 | + | 0.170483i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −12.6334 | − | 4.59818i | −0.511512 | − | 0.186175i | ||||
\(611\) | 1.37551 | + | 7.80093i | 0.0556474 | + | 0.315592i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.30722 | + | 3.61419i | −0.173967 | + | 0.145976i | −0.725614 | − | 0.688102i | \(-0.758444\pi\) |
0.551647 | + | 0.834078i | \(0.314000\pi\) | |||||||
\(614\) | 2.93494 | − | 16.6449i | 0.118445 | − | 0.671733i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.500000 | + | 0.866025i | 0.0201456 | + | 0.0348932i | ||||
\(617\) | 8.90673 | − | 3.24178i | 0.358571 | − | 0.130509i | −0.156452 | − | 0.987686i | \(-0.550006\pi\) |
0.515023 | + | 0.857176i | \(0.327783\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.37464 | + | 12.7732i | 0.296412 | + | 0.513400i | 0.975312 | − | 0.220830i | \(-0.0708766\pi\) |
−0.678901 | + | 0.734230i | \(0.737543\pi\) | |||||||
\(620\) | −1.15998 | + | 2.00914i | −0.0465858 | + | 0.0806890i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.82429 | − | 1.53076i | 0.0731475 | − | 0.0613780i | ||||
\(623\) | 1.45084 | + | 1.21740i | 0.0581266 | + | 0.0487740i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.55778 | − | 2.02287i | −0.222311 | − | 0.0809147i | ||||
\(626\) | −29.8631 | −1.19357 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.19934 | −0.127668 | ||||||||
\(629\) | 7.52347 | + | 2.73832i | 0.299980 | + | 0.109184i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.1518 | + | 16.0703i | 0.762422 | + | 0.639748i | 0.938756 | − | 0.344582i | \(-0.111979\pi\) |
−0.176334 | + | 0.984330i | \(0.556424\pi\) | |||||||
\(632\) | −12.3589 | + | 10.3704i | −0.491611 | + | 0.412511i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.51114 | + | 6.08148i | −0.139445 | + | 0.241526i | ||||
\(635\) | −1.11793 | − | 1.93631i | −0.0443636 | − | 0.0768399i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −24.4859 | + | 8.91215i | −0.970167 | + | 0.353112i | ||||
\(638\) | 3.77972 | + | 6.54666i | 0.149640 | + | 0.259185i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.205737 | + | 1.16679i | −0.00813247 | + | 0.0461215i | ||||
\(641\) | 33.4996 | − | 28.1095i | 1.32315 | − | 1.11026i | 0.337528 | − | 0.941315i | \(-0.390409\pi\) |
0.985626 | − | 0.168943i | \(-0.0540353\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5.80912 | − | 32.9451i | −0.229089 | − | 1.29923i | −0.854712 | − | 0.519103i | \(-0.826266\pi\) |
0.625622 | − | 0.780126i | \(-0.284845\pi\) | |||||||
\(644\) | −3.35117 | − | 1.21972i | −0.132054 | − | 0.0480639i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.90214 | + | 1.28293i | 0.192872 | + | 0.0504761i | ||||
\(647\) | 32.1266 | 1.26303 | 0.631514 | − | 0.775365i | \(-0.282434\pi\) | ||||
0.631514 | + | 0.775365i | \(0.282434\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.874638 | − | 4.96032i | −0.0343325 | − | 0.194709i | ||||
\(650\) | 10.6873 | + | 8.96773i | 0.419191 | + | 0.351743i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.16890 | + | 23.6430i | −0.163267 | + | 0.925932i | ||||
\(653\) | 1.44815 | − | 2.50827i | 0.0566704 | − | 0.0981561i | −0.836298 | − | 0.548275i | \(-0.815285\pi\) |
0.892969 | + | 0.450118i | \(0.148618\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.9153 | + | 4.33683i | −0.465571 | + | 0.169454i | ||||
\(656\) | −8.44356 | + | 3.07321i | −0.329666 | + | 0.119989i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.543233 | − | 0.940908i | 0.0211774 | − | 0.0366804i | ||||
\(659\) | −3.15926 | + | 17.9171i | −0.123067 | + | 0.697950i | 0.859370 | + | 0.511355i | \(0.170856\pi\) |
−0.982437 | + | 0.186595i | \(0.940255\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.4081 | + | 13.7680i | 0.638200 | + | 0.535513i | 0.903465 | − | 0.428662i | \(-0.141015\pi\) |
−0.265265 | + | 0.964176i | \(0.585459\pi\) | |||||||
\(662\) | 4.72297 | + | 26.7853i | 0.183564 | + | 1.04104i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.5740 | −0.449157 | ||||||||
\(665\) | 1.58924 | + | 2.24173i | 0.0616281 | + | 0.0869305i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −25.3329 | − | 9.22043i | −0.980894 | − | 0.357016i | ||||
\(668\) | −0.635630 | − | 3.60483i | −0.0245932 | − | 0.139475i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 10.1382 | − | 8.50692i | 0.391671 | − | 0.328651i | ||||
\(671\) | 3.70321 | − | 21.0020i | 0.142961 | − | 0.810771i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.3457 | − | 35.2398i | −0.784269 | − | 1.35839i | −0.929435 | − | 0.368987i | \(-0.879705\pi\) |
0.145165 | − | 0.989407i | \(-0.453629\pi\) | |||||||
\(674\) | 10.5407 | − | 3.83650i | 0.406013 | − | 0.147777i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.02481 | − | 1.77503i | −0.0394160 | − | 0.0682704i | ||||
\(677\) | −0.0680482 | + | 0.117863i | −0.00261530 | + | 0.00452984i | −0.867330 | − | 0.497733i | \(-0.834166\pi\) |
0.864715 | + | 0.502263i | \(0.167499\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.39646 | − | 2.01087i | 0.0919677 | − | 0.0771700i | ||||
\(680\) | 1.05509 | + | 0.885328i | 0.0404610 | + | 0.0339508i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.45811 | − | 1.25865i | −0.132418 | − | 0.0481962i | ||||
\(683\) | 43.6459 | 1.67006 | 0.835032 | − | 0.550202i | \(-0.185449\pi\) | ||||
0.835032 | + | 0.550202i | \(0.185449\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.3369 | −0.509576 | ||||||||
\(686\) | 6.85844 | + | 2.49627i | 0.261856 | + | 0.0953080i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.85844 | + | 1.55942i | 0.0708524 | + | 0.0594522i | ||||
\(689\) | 38.5467 | − | 32.3445i | 1.46851 | − | 1.23223i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.93376 | + | 13.7417i | −0.301815 | + | 0.522758i | −0.976547 | − | 0.215304i | \(-0.930926\pi\) |
0.674732 | + | 0.738062i | \(0.264259\pi\) | |||||||
\(692\) | −2.66637 | − | 4.61830i | −0.101360 | − | 0.175561i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.81908 | − | 0.662090i | 0.0690513 | − | 0.0251326i | ||||
\(695\) | −7.20961 | − | 12.4874i | −0.273476 | − | 0.473674i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.81386 | + | 10.2869i | −0.0687050 | + | 0.389645i | ||||
\(698\) | 11.0287 | − | 9.25417i | 0.417442 | − | 0.350275i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.332282 | − | 1.88446i | −0.0125591 | − | 0.0712260i | ||||
\(701\) | 18.0513 | + | 6.57013i | 0.681787 | + | 0.248150i | 0.659615 | − | 0.751604i | \(-0.270719\pi\) |
0.0221726 | + | 0.999754i | \(0.492942\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −27.1332 | + | 12.8456i | −1.02335 | + | 0.484481i | ||||
\(704\) | −1.87939 | −0.0708320 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.73039 | − | 15.4848i | −0.102760 | − | 0.582779i | ||||
\(707\) | −5.15451 | − | 4.32515i | −0.193855 | − | 0.162664i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.73489 | − | 32.5242i | 0.215378 | − | 1.22147i | −0.664871 | − | 0.746959i | \(-0.731513\pi\) |
0.880249 | − | 0.474512i | \(-0.157376\pi\) | |||||||
\(710\) | −3.59698 | + | 6.23016i | −0.134992 | + | 0.233814i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.34477 | + | 1.21740i | −0.125351 | + | 0.0456239i | ||||
\(713\) | 12.3324 | − | 4.48864i | 0.461854 | − | 0.168101i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.31908 | − | 7.48086i | 0.161524 | − | 0.279768i | ||||
\(716\) | 4.38578 | − | 24.8730i | 0.163904 | − | 0.929548i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.8871 | − | 9.97448i | −0.443624 | − | 0.372244i | ||||
\(719\) | −6.84952 | − | 38.8455i | −0.255444 | − | 1.44869i | −0.794931 | − | 0.606700i | \(-0.792493\pi\) |
0.539487 | − | 0.841994i | \(-0.318618\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.57667 | 0.0587181 | ||||||||
\(722\) | −16.3425 | + | 9.69129i | −0.608207 | + | 0.360672i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 16.2626 | + | 5.91912i | 0.604396 | + | 0.219982i | ||||
\(725\) | −2.51186 | − | 14.2455i | −0.0932881 | − | 0.529063i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.9816 | − | 11.7319i | 0.518548 | − | 0.435114i | −0.345577 | − | 0.938390i | \(-0.612317\pi\) |
0.864125 | + | 0.503277i | \(0.167872\pi\) | |||||||
\(728\) | −0.358441 | + | 2.03282i | −0.0132847 | + | 0.0753413i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.194126 | − | 0.336236i | −0.00718492 | − | 0.0124446i | ||||
\(731\) | 2.65018 | − | 0.964586i | 0.0980204 | − | 0.0356765i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.69640 | − | 13.3306i | −0.284273 | − | 0.492376i | 0.688160 | − | 0.725559i | \(-0.258419\pi\) |
−0.972433 | + | 0.233184i | \(0.925086\pi\) | |||||||
\(734\) | 7.87211 | − | 13.6349i | 0.290565 | − | 0.503273i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.13429 | − | 4.30818i | 0.189252 | − | 0.158802i | ||||
\(737\) | 16.0817 | + | 13.4942i | 0.592378 | + | 0.497064i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.2618 | − | 5.19086i | −0.524627 | − | 0.190949i | 0.0661104 | − | 0.997812i | \(-0.478941\pi\) |
−0.590738 | + | 0.806864i | \(0.701163\pi\) | |||||||
\(740\) | −8.15982 | −0.299961 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.90167 | −0.253368 | ||||||||
\(743\) | −9.27156 | − | 3.37457i | −0.340141 | − | 0.123801i | 0.166302 | − | 0.986075i | \(-0.446817\pi\) |
−0.506442 | + | 0.862274i | \(0.669040\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.8439 | − | 12.4555i | −0.543838 | − | 0.456334i | ||||
\(746\) | −22.6969 | + | 19.0449i | −0.830991 | + | 0.697285i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.09240 | + | 1.89209i | −0.0399420 | + | 0.0691815i | ||||
\(749\) | 5.08512 | + | 8.80769i | 0.185806 | + | 0.321826i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.17024 | − | 3.33770i | 0.334627 | − | 0.121794i | −0.169242 | − | 0.985575i | \(-0.554132\pi\) |
0.503869 | + | 0.863780i | \(0.331910\pi\) | |||||||
\(752\) | 1.02094 | + | 1.76833i | 0.0372300 | + | 0.0644843i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.70961 | + | 15.3669i | −0.0986781 | + | 0.559631i | ||||
\(755\) | −18.6264 | + | 15.6294i | −0.677883 | + | 0.568812i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.55438 | − | 42.8430i | −0.274569 | − | 1.55716i | −0.740329 | − | 0.672245i | \(-0.765330\pi\) |
0.465761 | − | 0.884911i | \(-0.345781\pi\) | |||||||
\(758\) | −4.43969 | − | 1.61592i | −0.161257 | − | 0.0586927i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.14203 | + | 0.480105i | −0.186521 | + | 0.0174152i | ||||
\(761\) | −44.7137 | −1.62087 | −0.810435 | − | 0.585828i | \(-0.800769\pi\) | ||||
−0.810435 | + | 0.585828i | \(0.800769\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.51636 | − | 8.59970i | −0.0548959 | − | 0.311330i | ||||
\(764\) | 11.6270 | + | 9.75622i | 0.420651 | + | 0.352968i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.910130 | − | 5.16160i | 0.0328843 | − | 0.186496i | ||||
\(767\) | 5.19846 | − | 9.00400i | 0.187706 | − | 0.325116i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.7690 | + | 7.55931i | −0.748951 | + | 0.272596i | −0.688164 | − | 0.725555i | \(-0.741583\pi\) |
−0.0607865 | + | 0.998151i | \(0.519361\pi\) | |||||||
\(770\) | −1.11334 | + | 0.405223i | −0.0401220 | + | 0.0146032i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −6.50387 | + | 11.2650i | −0.234079 | + | 0.405437i | ||||
\(773\) | −7.32429 | + | 41.5381i | −0.263436 | + | 1.49402i | 0.510014 | + | 0.860166i | \(0.329640\pi\) |
−0.773451 | + | 0.633857i | \(0.781471\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.39440 | + | 4.52644i | 0.193773 | + | 0.162594i | ||||
\(776\) | 1.02094 | + | 5.79006i | 0.0366498 | + | 0.207851i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.0770 | 0.540536 | ||||||||
\(779\) | −22.6518 | − | 31.9519i | −0.811586 | − | 1.14480i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.7233 | − | 3.90295i | −0.383709 | − | 0.139659i | ||||
\(782\) | −1.35298 | − | 7.67312i | −0.0483824 | − | 0.274390i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.14543 | + | 4.31753i | −0.183765 | + | 0.154197i | ||||
\(785\) | 0.658223 | − | 3.73297i | 0.0234930 | − | 0.133235i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.2396 | + | 24.6638i | 0.507588 | + | 0.879169i | 0.999961 | + | 0.00878442i | \(0.00279620\pi\) |
−0.492373 | + | 0.870384i | \(0.663870\pi\) | |||||||
\(788\) | −8.40895 | + | 3.06061i | −0.299556 | + | 0.109030i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −9.55737 | − | 16.5539i | −0.340036 | − | 0.588960i | ||||
\(791\) | −1.52616 | + | 2.64339i | −0.0542640 | + | 0.0939880i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 33.7217 | − | 28.2959i | 1.19749 | − | 1.00482i | ||||
\(794\) | −11.1420 | − | 9.34927i | −0.395416 | − | 0.331793i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.23308 | + | 1.54071i | 0.150037 | + | 0.0546092i | ||||
\(797\) | −16.6081 | −0.588290 | −0.294145 | − | 0.955761i | \(-0.595035\pi\) | ||||
−0.294145 | + | 0.955761i | \(0.595035\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.37370 | 0.0839756 | ||||||||
\(800\) | 3.37939 | + | 1.23000i | 0.119479 | + | 0.0434869i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.18685 | − | 1.83499i | −0.0772204 | − | 0.0647956i | ||||
\(803\) | 0.471782 | − | 0.395872i | 0.0166488 | − | 0.0139700i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.11263 | − | 3.65917i | 0.0744603 | − | 0.128969i | ||||
\(806\) | −3.79813 | − | 6.57856i | −0.133784 | − | 0.231720i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.8833 | − | 4.32515i | 0.418051 | − | 0.152158i | ||||
\(809\) | −6.83915 | − | 11.8457i | −0.240452 | − | 0.416474i | 0.720391 | − | 0.693568i | \(-0.243962\pi\) |
−0.960843 | + | 0.277093i | \(0.910629\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.107355 | + | 0.608839i | −0.00376973 | + | 0.0213792i | −0.986635 | − | 0.162948i | \(-0.947900\pi\) |
0.982865 | + | 0.184328i | \(0.0590107\pi\) | |||||||
\(812\) | 1.63950 | − | 1.37570i | 0.0575352 | − | 0.0482777i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.24763 | − | 12.7469i | −0.0787793 | − | 0.446779i | ||||
\(815\) | −26.7288 | − | 9.72849i | −0.936269 | − | 0.340774i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.41312 | + | 9.60991i | −0.154396 | + | 0.336208i | ||||
\(818\) | 34.2276 | 1.19674 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.84864 | − | 10.4842i | −0.0645573 | − | 0.366123i | ||||
\(821\) | −4.68210 | − | 3.92875i | −0.163407 | − | 0.137114i | 0.557418 | − | 0.830232i | \(-0.311792\pi\) |
−0.720824 | + | 0.693118i | \(0.756237\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.32311 | − | 30.1889i | 0.185552 | − | 1.05232i | −0.739692 | − | 0.672945i | \(-0.765029\pi\) |
0.925244 | − | 0.379372i | \(-0.123860\pi\) | |||||||
\(824\) | −1.48158 | + | 2.56617i | −0.0516133 | + | 0.0893969i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.34002 | + | 0.487728i | −0.0466253 | + | 0.0169702i | ||||
\(827\) | −47.6550 | + | 17.3450i | −1.65713 | + | 0.603145i | −0.989907 | − | 0.141717i | \(-0.954738\pi\) |
−0.667219 | + | 0.744862i | \(0.732515\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.50000 | − | 11.2583i | 0.225754 | − | 0.391018i | −0.730791 | − | 0.682601i | \(-0.760849\pi\) |
0.956545 | + | 0.291583i | \(0.0941820\pi\) | |||||||
\(830\) | 2.38120 | − | 13.5044i | 0.0826525 | − | 0.468746i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.97178 | − | 2.49362i | −0.103028 | − | 0.0864507i | ||||
\(833\) | 1.35591 | + | 7.68977i | 0.0469797 | + | 0.266435i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.33687 | 0.150083 | ||||||||
\(836\) | −2.16637 | − | 7.90041i | −0.0749256 | − | 0.273241i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.44134 | − | 2.70843i | −0.257057 | − | 0.0935611i | ||||
\(839\) | 3.73308 | + | 21.1713i | 0.128880 | + | 0.730916i | 0.978927 | + | 0.204209i | \(0.0654623\pi\) |
−0.850047 | + | 0.526707i | \(0.823427\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.82160 | + | 8.24130i | −0.338676 | + | 0.284183i | ||||
\(842\) | 2.81480 | − | 15.9635i | 0.0970043 | − | 0.550139i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.20187 | + | 5.54580i | 0.110213 | + | 0.190894i | ||||
\(845\) | 2.28194 | − | 0.830557i | 0.0785010 | − | 0.0285720i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.98680 | + | 3.44123i | 0.0682671 | + | 0.118242i | ||||
\(848\) | 6.48545 | − | 11.2331i | 0.222711 | − | 0.385747i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.20258 | − | 2.68729i | 0.109848 | − | 0.0921731i | ||||
\(851\) | 35.3605 | + | 29.6710i | 1.21214 | + | 1.01711i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 43.4397 | + | 15.8108i | 1.48735 | + | 0.541351i | 0.952750 | − | 0.303755i | \(-0.0982406\pi\) |
0.534599 | + | 0.845106i | \(0.320463\pi\) | |||||||
\(854\) | −6.03777 | −0.206608 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −19.1138 | −0.653296 | ||||||||
\(857\) | −41.0292 | − | 14.9334i | −1.40153 | − | 0.510115i | −0.472897 | − | 0.881118i | \(-0.656792\pi\) |
−0.928632 | + | 0.371003i | \(0.879014\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.4474 | + | 12.9619i | 0.527060 | + | 0.442256i | 0.867085 | − | 0.498161i | \(-0.165991\pi\) |
−0.340025 | + | 0.940416i | \(0.610436\pi\) | |||||||
\(860\) | −2.20187 | + | 1.84759i | −0.0750830 | + | 0.0630021i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 12.7160 | − | 22.0248i | 0.433109 | − | 0.750166i | ||||
\(863\) | −16.3466 | − | 28.3131i | −0.556444 | − | 0.963789i | −0.997790 | − | 0.0664522i | \(-0.978832\pi\) |
0.441346 | − | 0.897337i | \(-0.354501\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.93717 | − | 2.16095i | 0.201870 | − | 0.0734746i | ||||
\(866\) | −5.92396 | − | 10.2606i | −0.201304 | − | 0.348670i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.180922 | + | 1.02606i | −0.00614090 | + | 0.0348268i | ||||
\(869\) | 23.2271 | − | 19.4899i | 0.787927 | − | 0.661149i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.52481 | + | 42.6753i | 0.254969 | + | 1.44600i | ||||
\(872\) | 15.4217 | + | 5.61305i | 0.522246 | + | 0.190082i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 24.0287 | + | 16.6171i | 0.812782 | + | 0.562080i | ||||
\(875\) | 5.41921 | 0.183203 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.26099 | + | 29.8366i | 0.177651 | + | 1.00751i | 0.935039 | + | 0.354544i | \(0.115364\pi\) |
−0.757388 | + | 0.652965i | \(0.773525\pi\) | |||||||
\(878\) | 19.8097 | + | 16.6223i | 0.668546 | + | 0.560977i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.386659 | − | 2.19285i | 0.0130343 | − | 0.0739211i | ||||
\(881\) | 11.7788 | − | 20.4015i | 0.396839 | − | 0.687346i | −0.596495 | − | 0.802617i | \(-0.703440\pi\) |
0.993334 | + | 0.115271i | \(0.0367738\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −34.6079 | + | 12.5962i | −1.16465 | + | 0.423897i | −0.850756 | − | 0.525561i | \(-0.823855\pi\) |
−0.313892 | + | 0.949459i | \(0.601633\pi\) | |||||||
\(884\) | −4.23783 | + | 1.54244i | −0.142534 | + | 0.0518780i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.461515 | − | 0.799367i | 0.0155049 | − | 0.0268552i | ||||
\(887\) | −0.748093 | + | 4.24265i | −0.0251185 | + | 0.142454i | −0.994788 | − | 0.101966i | \(-0.967487\pi\) |
0.969669 | + | 0.244420i | \(0.0785977\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.769200 | − | 0.645435i | −0.0257981 | − | 0.0216472i | ||||
\(890\) | −0.732307 | − | 4.15312i | −0.0245470 | − | 0.139213i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.24897 | 0.108784 | ||||||||
\(893\) | −6.25671 | + | 6.33012i | −0.209373 | + | 0.211830i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 28.1193 | + | 10.2346i | 0.939925 | + | 0.342105i | ||||
\(896\) | 0.0923963 | + | 0.524005i | 0.00308674 | + | 0.0175058i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −7.15839 | + | 6.00660i | −0.238878 | + | 0.200443i | ||||
\(899\) | −1.36767 | + | 7.75643i | −0.0456143 | + | 0.258691i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.53936 | − | 13.0586i | −0.251173 | − | 0.435044i | ||||
\(902\) | 15.8687 | − | 5.77574i | 0.528370 | − | 0.192311i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.86824 | − | 4.96794i | −0.0953963 | − | 0.165231i | ||||
\(905\) | −10.2522 | + | 17.7574i | −0.340795 | + | 0.590274i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 17.8799 | − | 15.0030i | 0.593691 | − | 0.498166i | −0.295720 | − | 0.955275i | \(-0.595560\pi\) |
0.889411 | + | 0.457109i | \(0.151115\pi\) | |||||||
\(908\) | 8.96451 | + | 7.52211i | 0.297498 | + | 0.249630i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.29813 | − | 0.836452i | −0.0761824 | − | 0.0277281i | ||||
\(911\) | −22.5631 | −0.747547 | −0.373774 | − | 0.927520i | \(-0.621936\pi\) | ||||
−0.373774 | + | 0.927520i | \(0.621936\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 21.7520 | 0.719885 | ||||||||
\(914\) | −29.0373 | − | 10.5687i | −0.960469 | − | 0.349582i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −17.5476 | − | 14.7242i | −0.579788 | − | 0.486500i | ||||
\(917\) | −4.36231 | + | 3.66041i | −0.144056 | + | 0.120878i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.12789 | + | 3.68561i | −0.0701926 | + | 0.121577i | −0.898986 | − | 0.437978i | \(-0.855695\pi\) |
0.828793 | + | 0.559555i | \(0.189028\pi\) | |||||||
\(920\) | 3.97044 | + | 6.87700i | 0.130901 | + | 0.226728i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −27.8974 | + | 10.1538i | −0.918752 | + | 0.334398i | ||||
\(923\) | −11.7777 | − | 20.3995i | −0.387666 | − | 0.671458i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.30091 | + | 24.3917i | −0.141413 | + | 0.801993i | ||||
\(926\) | −9.06283 | + | 7.60462i | −0.297823 | + | 0.249903i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.698463 | + | 3.96118i | 0.0229282 | + | 0.130032i | ||||
\(929\) | 55.9347 | + | 20.3586i | 1.83516 | + | 0.667943i | 0.991341 | + | 0.131311i | \(0.0419187\pi\) |
0.843817 | + | 0.536632i | \(0.180303\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −24.0808 | − | 16.6531i | −0.789218 | − | 0.545784i | ||||
\(932\) | 3.19934 | 0.104798 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.65389 | − | 37.7361i | −0.217722 | − | 1.23476i | ||||
\(935\) | −1.98293 | − | 1.66387i | −0.0648486 | − | 0.0544144i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.81877 | − | 32.9999i | 0.190091 | − | 1.07806i | −0.729147 | − | 0.684357i | \(-0.760083\pi\) |
0.919238 | − | 0.393703i | \(-0.128806\pi\) | |||||||
\(938\) | 2.97178 | − | 5.14728i | 0.0970321 | − | 0.168065i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.27332 | + | 0.827420i | −0.0741475 | + | 0.0269875i | ||||
\(941\) | −5.19119 | + | 1.88944i | −0.169228 | + | 0.0615939i | −0.425245 | − | 0.905078i | \(-0.639812\pi\) |
0.256017 | + | 0.966672i | \(0.417590\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −30.1117 | + | 52.1551i | −0.980573 | + | 1.69840i | ||||
\(944\) | 0.465385 | − | 2.63933i | 0.0151470 | − | 0.0859028i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.49273 | − | 2.93075i | −0.113558 | − | 0.0952867i | ||||
\(947\) | 2.58822 | + | 14.6785i | 0.0841059 | + | 0.476988i | 0.997546 | + | 0.0700149i | \(0.0223047\pi\) |
−0.913440 | + | 0.406973i | \(0.866584\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.27126 | 0.0412668 | ||||||||
\(950\) | −1.27513 | + | 15.6238i | −0.0413707 | + | 0.506903i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.581252 | + | 0.211558i | 0.0188385 | + | 0.00685665i | ||||
\(953\) | 8.05138 | + | 45.6617i | 0.260810 | + | 1.47913i | 0.780707 | + | 0.624898i | \(0.214859\pi\) |
−0.519897 | + | 0.854229i | \(0.674030\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.7756 | + | 11.5591i | −0.445768 | + | 0.374044i | ||||
\(956\) | −1.07192 | + | 6.07915i | −0.0346683 | + | 0.196614i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 18.6420 | + | 32.2889i | 0.602297 | + | 1.04321i | ||||
\(959\) | −5.62836 | + | 2.04855i | −0.181749 | + | 0.0661513i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5829 | + | 23.5263i | 0.438158 | + | 0.758912i | ||||
\(962\) | 13.3589 | − | 23.1383i | 0.430708 | − | 0.746009i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.17752 | − | 0.988055i | 0.0379253 | − | 0.0318231i | ||||
\(965\) | −11.8059 | − | 9.90630i | −0.380045 | − | 0.318895i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 21.8414 | + | 7.94961i | 0.702371 | + | 0.255642i | 0.668423 | − | 0.743781i | \(-0.266970\pi\) |
0.0339481 | + | 0.999424i | \(0.489192\pi\) | |||||||
\(968\) | −7.46791 | −0.240028 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −6.96585 | −0.223660 | ||||||||
\(971\) | 4.63310 | + | 1.68631i | 0.148683 | + | 0.0541163i | 0.415290 | − | 0.909689i | \(-0.363680\pi\) |
−0.266606 | + | 0.963805i | \(0.585902\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.96064 | − | 4.16247i | −0.159031 | − | 0.133443i | ||||
\(974\) | 25.2631 | − | 21.1983i | 0.809482 | − | 0.679236i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.67365 | − | 9.82705i | 0.181609 | − | 0.314556i | ||||
\(977\) | 16.3721 | + | 28.3573i | 0.523790 | + | 0.907231i | 0.999617 | + | 0.0276920i | \(0.00881577\pi\) |
−0.475826 | + | 0.879539i | \(0.657851\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.28611 | − | 2.28796i | 0.200905 | − | 0.0731234i | ||||
\(980\) | −3.97906 | − | 6.89193i | −0.127106 | − | 0.220155i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.07027 | + | 17.4124i | −0.0979762 | + | 0.555651i | ||||
\(983\) | 19.4886 | − | 16.3529i | 0.621590 | − | 0.521576i | −0.276713 | − | 0.960953i | \(-0.589245\pi\) |
0.898303 | + | 0.439377i | \(0.144801\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.84106 | − | 10.4412i | −0.0586611 | − | 0.332684i | ||||
\(986\) | 4.39393 | + | 1.59926i | 0.139931 | + | 0.0509308i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.05690 | − | 15.3669i | 0.224510 | − | 0.488888i | ||||
\(989\) | 16.2600 | 0.517038 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.76311 | + | 9.99908i | 0.0560070 | + | 0.317631i | 0.999921 | − | 0.0125597i | \(-0.00399797\pi\) |
−0.943914 | + | 0.330191i | \(0.892887\pi\) | |||||||
\(992\) | −1.50000 | − | 1.25865i | −0.0476250 | − | 0.0399622i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.561023 | + | 3.18172i | −0.0177946 | + | 0.100918i | ||||
\(995\) | −2.66860 | + | 4.62214i | −0.0846002 | + | 0.146532i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −52.4065 | + | 19.0744i | −1.65973 | + | 0.604092i | −0.990320 | − | 0.138801i | \(-0.955675\pi\) |
−0.669410 | + | 0.742894i | \(0.733453\pi\) | |||||||
\(998\) | −25.4881 | + | 9.27692i | −0.806813 | + | 0.293656i | ||||
\(999\) | 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 | 342.2.u.a.289.1 | 6 | ||
3.2 | odd | 2 | 114.2.i.d.61.1 | yes | 6 | ||
12.11 | even | 2 | 912.2.bo.f.289.1 | 6 | |||
19.5 | even | 9 | inner | 342.2.u.a.271.1 | 6 | ||
19.9 | even | 9 | 6498.2.a.bs.1.2 | 3 | |||
19.10 | odd | 18 | 6498.2.a.bn.1.2 | 3 | |||
57.5 | odd | 18 | 114.2.i.d.43.1 | ✓ | 6 | ||
57.29 | even | 18 | 2166.2.a.u.1.2 | 3 | |||
57.47 | odd | 18 | 2166.2.a.o.1.2 | 3 | |||
228.119 | even | 18 | 912.2.bo.f.385.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.d.43.1 | ✓ | 6 | 57.5 | odd | 18 | ||
114.2.i.d.61.1 | yes | 6 | 3.2 | odd | 2 | ||
342.2.u.a.271.1 | 6 | 19.5 | even | 9 | inner | ||
342.2.u.a.289.1 | 6 | 1.1 | even | 1 | trivial | ||
912.2.bo.f.289.1 | 6 | 12.11 | even | 2 | |||
912.2.bo.f.385.1 | 6 | 228.119 | even | 18 | |||
2166.2.a.o.1.2 | 3 | 57.47 | odd | 18 | |||
2166.2.a.u.1.2 | 3 | 57.29 | even | 18 | |||
6498.2.a.bn.1.2 | 3 | 19.10 | odd | 18 | |||
6498.2.a.bs.1.2 | 3 | 19.9 | even | 9 |