Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(136,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.e (of order \(3\), degree \(2\), 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: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{13})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} - x^{3} + 4x^{2} + 3x + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 271.2 | ||
Root | \(-0.651388 - 1.12824i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 405.271 |
Dual form | 405.2.e.j.136.2 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.651388 | + | 1.12824i | 0.460601 | + | 0.797784i | 0.998991 | − | 0.0449118i | \(-0.0143007\pi\) |
−0.538390 | + | 0.842696i | \(0.680967\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.151388 | − | 0.262211i | 0.0756939 | − | 0.131106i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.30278 | − | 3.98852i | −0.870367 | − | 1.50752i | −0.861617 | − | 0.507559i | \(-0.830548\pi\) |
−0.00875026 | − | 0.999962i | \(-0.502785\pi\) | |||||||
\(8\) | 3.00000 | 1.06066 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.30278 | 0.411974 | ||||||||
\(11\) | −1.30278 | − | 2.25647i | −0.392802 | − | 0.680352i | 0.600016 | − | 0.799988i | \(-0.295161\pi\) |
−0.992818 | + | 0.119635i | \(0.961827\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.302776 | − | 0.524423i | 0.0839749 | − | 0.145449i | −0.820979 | − | 0.570958i | \(-0.806572\pi\) |
0.904954 | + | 0.425510i | \(0.139905\pi\) | |||||||
\(14\) | 3.00000 | − | 5.19615i | 0.801784 | − | 1.38873i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.65139 | + | 2.86029i | 0.412847 | + | 0.715072i | ||||
\(17\) | 5.60555 | 1.35955 | 0.679773 | − | 0.733423i | \(-0.262078\pi\) | ||||
0.679773 | + | 0.733423i | \(0.262078\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.60555 | −0.827170 | −0.413585 | − | 0.910465i | \(-0.635724\pi\) | ||||
−0.413585 | + | 0.910465i | \(0.635724\pi\) | |||||||
\(20\) | −0.151388 | − | 0.262211i | −0.0338513 | − | 0.0586323i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.69722 | − | 2.93968i | 0.361849 | − | 0.626742i | ||||
\(23\) | −1.50000 | + | 2.59808i | −0.312772 | + | 0.541736i | −0.978961 | − | 0.204046i | \(-0.934591\pi\) |
0.666190 | + | 0.745782i | \(0.267924\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0.788897 | 0.154716 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.39445 | −0.263526 | ||||||||
\(29\) | 4.30278 | + | 7.45263i | 0.799005 | + | 1.38392i | 0.920264 | + | 0.391297i | \(0.127973\pi\) |
−0.121259 | + | 0.992621i | \(0.538693\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.802776 | + | 1.39045i | −0.144183 | + | 0.249732i | −0.929068 | − | 0.369910i | \(-0.879389\pi\) |
0.784885 | + | 0.619641i | \(0.212722\pi\) | |||||||
\(32\) | 0.848612 | − | 1.46984i | 0.150015 | − | 0.259833i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.65139 | + | 6.32439i | 0.626208 | + | 1.08462i | ||||
\(35\) | −4.60555 | −0.778480 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | −2.34861 | − | 4.06792i | −0.380995 | − | 0.659903i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.50000 | − | 2.59808i | 0.237171 | − | 0.410792i | ||||
\(41\) | 1.30278 | − | 2.25647i | 0.203459 | − | 0.352402i | −0.746181 | − | 0.665743i | \(-0.768115\pi\) |
0.949641 | + | 0.313341i | \(0.101448\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.30278 | + | 5.72058i | 0.503669 | + | 0.872380i | 0.999991 | + | 0.00424128i | \(0.00135005\pi\) |
−0.496322 | + | 0.868138i | \(0.665317\pi\) | |||||||
\(44\) | −0.788897 | −0.118931 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.90833 | −0.576251 | ||||||||
\(47\) | 2.60555 | + | 4.51295i | 0.380059 | + | 0.658281i | 0.991070 | − | 0.133341i | \(-0.0425704\pi\) |
−0.611012 | + | 0.791622i | \(0.709237\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −7.10555 | + | 12.3072i | −1.01508 | + | 1.75817i | ||||
\(50\) | 0.651388 | − | 1.12824i | 0.0921201 | − | 0.159557i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.0916731 | − | 0.158782i | −0.0127128 | − | 0.0220192i | ||||
\(53\) | 5.60555 | 0.769982 | 0.384991 | − | 0.922920i | \(-0.374205\pi\) | ||||
0.384991 | + | 0.922920i | \(0.374205\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.60555 | −0.351332 | ||||||||
\(56\) | −6.90833 | − | 11.9656i | −0.923164 | − | 1.59897i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.60555 | + | 9.70910i | −0.736045 | + | 1.27487i | ||||
\(59\) | −4.30278 | + | 7.45263i | −0.560174 | + | 0.970249i | 0.437307 | + | 0.899312i | \(0.355932\pi\) |
−0.997481 | + | 0.0709370i | \(0.977401\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.10555 | − | 8.84307i | −0.653699 | − | 1.13224i | −0.982218 | − | 0.187742i | \(-0.939883\pi\) |
0.328519 | − | 0.944497i | \(-0.393450\pi\) | |||||||
\(62\) | −2.09167 | −0.265643 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.81665 | 1.10208 | ||||||||
\(65\) | −0.302776 | − | 0.524423i | −0.0375547 | − | 0.0650466i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.60555 | − | 13.1732i | 0.929166 | − | 1.60936i | 0.144446 | − | 0.989513i | \(-0.453860\pi\) |
0.784720 | − | 0.619850i | \(-0.212807\pi\) | |||||||
\(68\) | 0.848612 | − | 1.46984i | 0.102909 | − | 0.178244i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.00000 | − | 5.19615i | −0.358569 | − | 0.621059i | ||||
\(71\) | −14.6056 | −1.73336 | −0.866680 | − | 0.498864i | \(-0.833751\pi\) | ||||
−0.866680 | + | 0.498864i | \(0.833751\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.39445 | 0.631372 | 0.315686 | − | 0.948864i | \(-0.397765\pi\) | ||||
0.315686 | + | 0.948864i | \(0.397765\pi\) | |||||||
\(74\) | 1.30278 | + | 2.25647i | 0.151445 | + | 0.262310i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.545837 | + | 0.945417i | −0.0626117 | + | 0.108447i | ||||
\(77\) | −6.00000 | + | 10.3923i | −0.683763 | + | 1.18431i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.19722 | + | 3.80570i | 0.247207 | + | 0.428175i | 0.962750 | − | 0.270394i | \(-0.0871539\pi\) |
−0.715543 | + | 0.698569i | \(0.753821\pi\) | |||||||
\(80\) | 3.30278 | 0.369262 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.39445 | 0.374854 | ||||||||
\(83\) | 1.50000 | + | 2.59808i | 0.164646 | + | 0.285176i | 0.936530 | − | 0.350588i | \(-0.114018\pi\) |
−0.771883 | + | 0.635764i | \(0.780685\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.80278 | − | 4.85455i | 0.304004 | − | 0.526550i | ||||
\(86\) | −4.30278 | + | 7.45263i | −0.463980 | + | 0.803637i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.90833 | − | 6.76942i | −0.416629 | − | 0.721623i | ||||
\(89\) | −7.81665 | −0.828564 | −0.414282 | − | 0.910149i | \(-0.635967\pi\) | ||||
−0.414282 | + | 0.910149i | \(0.635967\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.78890 | −0.292356 | ||||||||
\(92\) | 0.454163 | + | 0.786634i | 0.0473498 | + | 0.0820123i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.39445 | + | 5.87936i | −0.350111 | + | 0.606409i | ||||
\(95\) | −1.80278 | + | 3.12250i | −0.184961 | + | 0.320362i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.00000 | − | 6.92820i | −0.406138 | − | 0.703452i | 0.588315 | − | 0.808632i | \(-0.299792\pi\) |
−0.994453 | + | 0.105180i | \(0.966458\pi\) | |||||||
\(98\) | −18.5139 | −1.87018 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.302776 | −0.0302776 | ||||||||
\(101\) | 6.00000 | + | 10.3923i | 0.597022 | + | 1.03407i | 0.993258 | + | 0.115924i | \(0.0369830\pi\) |
−0.396236 | + | 0.918149i | \(0.629684\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.00000 | − | 3.46410i | 0.197066 | − | 0.341328i | −0.750510 | − | 0.660859i | \(-0.770192\pi\) |
0.947576 | + | 0.319531i | \(0.103525\pi\) | |||||||
\(104\) | 0.908327 | − | 1.57327i | 0.0890688 | − | 0.154272i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.65139 | + | 6.32439i | 0.354654 | + | 0.614279i | ||||
\(107\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.00000 | −0.670478 | −0.335239 | − | 0.942133i | \(-0.608817\pi\) | ||||
−0.335239 | + | 0.942133i | \(0.608817\pi\) | |||||||
\(110\) | −1.69722 | − | 2.93968i | −0.161824 | − | 0.280287i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 7.60555 | − | 13.1732i | 0.718657 | − | 1.24475i | ||||
\(113\) | −0.394449 | + | 0.683205i | −0.0371066 | + | 0.0642705i | −0.883982 | − | 0.467520i | \(-0.845147\pi\) |
0.846876 | + | 0.531791i | \(0.178481\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.50000 | + | 2.59808i | 0.139876 | + | 0.242272i | ||||
\(116\) | 2.60555 | 0.241919 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −11.2111 | −1.03207 | ||||||||
\(119\) | −12.9083 | − | 22.3579i | −1.18330 | − | 2.04954i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.10555 | − | 3.64692i | 0.191414 | − | 0.331538i | ||||
\(122\) | 6.65139 | − | 11.5205i | 0.602188 | − | 1.04302i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.243061 | + | 0.420994i | 0.0218275 | + | 0.0378064i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.78890 | −0.424946 | −0.212473 | − | 0.977167i | \(-0.568152\pi\) | ||||
−0.212473 | + | 0.977167i | \(0.568152\pi\) | |||||||
\(128\) | 4.04584 | + | 7.00759i | 0.357605 | + | 0.619390i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.394449 | − | 0.683205i | 0.0345954 | − | 0.0599211i | ||||
\(131\) | 3.00000 | − | 5.19615i | 0.262111 | − | 0.453990i | −0.704692 | − | 0.709514i | \(-0.748915\pi\) |
0.966803 | + | 0.255524i | \(0.0822479\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.30278 | + | 14.3808i | 0.719942 | + | 1.24698i | ||||
\(134\) | 19.8167 | 1.71190 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 16.8167 | 1.44202 | ||||||||
\(137\) | −2.40833 | − | 4.17134i | −0.205757 | − | 0.356382i | 0.744616 | − | 0.667493i | \(-0.232632\pi\) |
−0.950374 | + | 0.311111i | \(0.899299\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.00000 | − | 3.46410i | 0.169638 | − | 0.293821i | −0.768655 | − | 0.639664i | \(-0.779074\pi\) |
0.938293 | + | 0.345843i | \(0.112407\pi\) | |||||||
\(140\) | −0.697224 | + | 1.20763i | −0.0589262 | + | 0.102063i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −9.51388 | − | 16.4785i | −0.798387 | − | 1.38285i | ||||
\(143\) | −1.57779 | −0.131942 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.60555 | 0.714652 | ||||||||
\(146\) | 3.51388 | + | 6.08622i | 0.290811 | + | 0.503699i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.302776 | − | 0.524423i | 0.0248880 | − | 0.0431073i | ||||
\(149\) | −6.51388 | + | 11.2824i | −0.533638 | + | 0.924288i | 0.465590 | + | 0.885000i | \(0.345842\pi\) |
−0.999228 | + | 0.0392872i | \(0.987491\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.21110 | + | 12.4900i | 0.586831 | + | 1.01642i | 0.994644 | + | 0.103356i | \(0.0329581\pi\) |
−0.407813 | + | 0.913065i | \(0.633709\pi\) | |||||||
\(152\) | −10.8167 | −0.877346 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −15.6333 | −1.25977 | ||||||||
\(155\) | 0.802776 | + | 1.39045i | 0.0644805 | + | 0.111683i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.90833 | + | 3.30532i | −0.152301 | + | 0.263793i | −0.932073 | − | 0.362270i | \(-0.882002\pi\) |
0.779772 | + | 0.626064i | \(0.215335\pi\) | |||||||
\(158\) | −2.86249 | + | 4.95798i | −0.227728 | + | 0.394436i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.848612 | − | 1.46984i | −0.0670887 | − | 0.116201i | ||||
\(161\) | 13.8167 | 1.08890 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.00000 | 0.156652 | 0.0783260 | − | 0.996928i | \(-0.475042\pi\) | ||||
0.0783260 | + | 0.996928i | \(0.475042\pi\) | |||||||
\(164\) | −0.394449 | − | 0.683205i | −0.0308013 | − | 0.0533494i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.95416 | + | 3.38471i | −0.151672 | + | 0.262704i | ||||
\(167\) | −1.50000 | + | 2.59808i | −0.116073 | + | 0.201045i | −0.918208 | − | 0.396098i | \(-0.870364\pi\) |
0.802135 | + | 0.597143i | \(0.203697\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.31665 | + | 10.9408i | 0.485896 | + | 0.841597i | ||||
\(170\) | 7.30278 | 0.560097 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.00000 | 0.152499 | ||||||||
\(173\) | 5.40833 | + | 9.36750i | 0.411187 | + | 0.712198i | 0.995020 | − | 0.0996766i | \(-0.0317808\pi\) |
−0.583832 | + | 0.811874i | \(0.698447\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.30278 | + | 3.98852i | −0.174073 | + | 0.301504i | ||||
\(176\) | 4.30278 | − | 7.45263i | 0.324334 | − | 0.561763i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.09167 | − | 8.81904i | −0.381637 | − | 0.661015i | ||||
\(179\) | 6.78890 | 0.507426 | 0.253713 | − | 0.967280i | \(-0.418348\pi\) | ||||
0.253713 | + | 0.967280i | \(0.418348\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.00000 | −0.520306 | −0.260153 | − | 0.965567i | \(-0.583773\pi\) | ||||
−0.260153 | + | 0.965567i | \(0.583773\pi\) | |||||||
\(182\) | −1.81665 | − | 3.14654i | −0.134659 | − | 0.233237i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.50000 | + | 7.79423i | −0.331744 | + | 0.574598i | ||||
\(185\) | 1.00000 | − | 1.73205i | 0.0735215 | − | 0.127343i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.30278 | − | 12.6488i | −0.534032 | − | 0.924970i | ||||
\(188\) | 1.57779 | 0.115073 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.69722 | −0.340772 | ||||||||
\(191\) | 8.21110 | + | 14.2220i | 0.594135 | + | 1.02907i | 0.993668 | + | 0.112353i | \(0.0358387\pi\) |
−0.399534 | + | 0.916718i | \(0.630828\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.9083 | + | 18.8938i | −0.785199 | + | 1.36000i | 0.143682 | + | 0.989624i | \(0.454106\pi\) |
−0.928880 | + | 0.370380i | \(0.879228\pi\) | |||||||
\(194\) | 5.21110 | − | 9.02589i | 0.374135 | − | 0.648021i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.15139 | + | 3.72631i | 0.153671 | + | 0.266165i | ||||
\(197\) | 1.18335 | 0.0843099 | 0.0421550 | − | 0.999111i | \(-0.486578\pi\) | ||||
0.0421550 | + | 0.999111i | \(0.486578\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.2111 | 0.936510 | 0.468255 | − | 0.883593i | \(-0.344883\pi\) | ||||
0.468255 | + | 0.883593i | \(0.344883\pi\) | |||||||
\(200\) | −1.50000 | − | 2.59808i | −0.106066 | − | 0.183712i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.81665 | + | 13.5388i | −0.549978 | + | 0.952590i | ||||
\(203\) | 19.8167 | − | 34.3235i | 1.39086 | − | 2.40903i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.30278 | − | 2.25647i | −0.0909898 | − | 0.157599i | ||||
\(206\) | 5.21110 | 0.363075 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.00000 | 0.138675 | ||||||||
\(209\) | 4.69722 | + | 8.13583i | 0.324914 | + | 0.562767i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.40833 | + | 11.0995i | −0.441167 | + | 0.764124i | −0.997776 | − | 0.0666502i | \(-0.978769\pi\) |
0.556609 | + | 0.830775i | \(0.312102\pi\) | |||||||
\(212\) | 0.848612 | − | 1.46984i | 0.0582829 | − | 0.100949i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 6.60555 | 0.450495 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.39445 | 0.501968 | ||||||||
\(218\) | −4.55971 | − | 7.89766i | −0.308823 | − | 0.534897i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.394449 | + | 0.683205i | −0.0265937 | + | 0.0460617i | ||||
\(221\) | 1.69722 | − | 2.93968i | 0.114168 | − | 0.197744i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.00000 | + | 8.66025i | 0.334825 | + | 0.579934i | 0.983451 | − | 0.181173i | \(-0.0579895\pi\) |
−0.648626 | + | 0.761107i | \(0.724656\pi\) | |||||||
\(224\) | −7.81665 | −0.522272 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.02776 | −0.0683653 | ||||||||
\(227\) | −13.1056 | − | 22.6995i | −0.869846 | − | 1.50662i | −0.862154 | − | 0.506647i | \(-0.830885\pi\) |
−0.00769242 | − | 0.999970i | \(-0.502449\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.10555 | − | 5.37897i | 0.205221 | − | 0.355453i | −0.744982 | − | 0.667084i | \(-0.767542\pi\) |
0.950203 | + | 0.311632i | \(0.100875\pi\) | |||||||
\(230\) | −1.95416 | + | 3.38471i | −0.128854 | + | 0.223181i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.9083 | + | 22.3579i | 0.847473 | + | 1.46787i | ||||
\(233\) | 18.0000 | 1.17922 | 0.589610 | − | 0.807688i | \(-0.299282\pi\) | ||||
0.589610 | + | 0.807688i | \(0.299282\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.21110 | 0.339935 | ||||||||
\(236\) | 1.30278 | + | 2.25647i | 0.0848035 | + | 0.146884i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 16.8167 | − | 29.1273i | 1.09006 | − | 1.88804i | ||||
\(239\) | −0.394449 | + | 0.683205i | −0.0255148 | + | 0.0441929i | −0.878501 | − | 0.477741i | \(-0.841456\pi\) |
0.852986 | + | 0.521934i | \(0.174789\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.1056 | − | 24.4315i | −0.908618 | − | 1.57377i | −0.815985 | − | 0.578073i | \(-0.803805\pi\) |
−0.0926334 | − | 0.995700i | \(-0.529528\pi\) | |||||||
\(242\) | 5.48612 | 0.352661 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.09167 | −0.197924 | ||||||||
\(245\) | 7.10555 | + | 12.3072i | 0.453957 | + | 0.786277i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.09167 | + | 1.89083i | −0.0694615 | + | 0.120311i | ||||
\(248\) | −2.40833 | + | 4.17134i | −0.152929 | + | 0.264881i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.651388 | − | 1.12824i | −0.0411974 | − | 0.0713560i | ||||
\(251\) | 15.6333 | 0.986766 | 0.493383 | − | 0.869812i | \(-0.335760\pi\) | ||||
0.493383 | + | 0.869812i | \(0.335760\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.81665 | 0.491429 | ||||||||
\(254\) | −3.11943 | − | 5.40301i | −0.195730 | − | 0.339015i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.54584 | − | 6.14157i | 0.221615 | − | 0.383848i | ||||
\(257\) | 11.4083 | − | 19.7598i | 0.711632 | − | 1.23258i | −0.252612 | − | 0.967568i | \(-0.581290\pi\) |
0.964244 | − | 0.265015i | \(-0.0853769\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.60555 | − | 7.97705i | −0.286175 | − | 0.495670i | ||||
\(260\) | −0.183346 | −0.0113706 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.81665 | 0.482914 | ||||||||
\(263\) | −8.60555 | − | 14.9053i | −0.530641 | − | 0.919097i | −0.999361 | − | 0.0357503i | \(-0.988618\pi\) |
0.468720 | − | 0.883347i | \(-0.344715\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.80278 | − | 4.85455i | 0.172173 | − | 0.298213i | ||||
\(266\) | −10.8167 | + | 18.7350i | −0.663212 | + | 1.14872i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.30278 | − | 3.98852i | −0.140664 | − | 0.243638i | ||||
\(269\) | −11.2111 | −0.683553 | −0.341776 | − | 0.939781i | \(-0.611029\pi\) | ||||
−0.341776 | + | 0.939781i | \(0.611029\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.2389 | −1.16868 | −0.584339 | − | 0.811510i | \(-0.698646\pi\) | ||||
−0.584339 | + | 0.811510i | \(0.698646\pi\) | |||||||
\(272\) | 9.25694 | + | 16.0335i | 0.561284 | + | 0.972173i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.13751 | − | 5.43433i | 0.189544 | − | 0.328300i | ||||
\(275\) | −1.30278 | + | 2.25647i | −0.0785603 | + | 0.136070i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.5139 | + | 25.1388i | 0.872054 | + | 1.51044i | 0.859868 | + | 0.510517i | \(0.170546\pi\) |
0.0121867 | + | 0.999926i | \(0.496121\pi\) | |||||||
\(278\) | 5.21110 | 0.312541 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.8167 | −0.825703 | ||||||||
\(281\) | 0.908327 | + | 1.57327i | 0.0541862 | + | 0.0938533i | 0.891846 | − | 0.452339i | \(-0.149410\pi\) |
−0.837660 | + | 0.546192i | \(0.816077\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.30278 | + | 9.18468i | −0.315217 | + | 0.545972i | −0.979484 | − | 0.201524i | \(-0.935411\pi\) |
0.664266 | + | 0.747496i | \(0.268744\pi\) | |||||||
\(284\) | −2.21110 | + | 3.82974i | −0.131205 | + | 0.227253i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.02776 | − | 1.78013i | −0.0607725 | − | 0.105261i | ||||
\(287\) | −12.0000 | −0.708338 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.4222 | 0.848365 | ||||||||
\(290\) | 5.60555 | + | 9.70910i | 0.329169 | + | 0.570138i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.816654 | − | 1.41449i | 0.0477911 | − | 0.0827765i | ||||
\(293\) | −14.4083 | + | 24.9560i | −0.841743 | + | 1.45794i | 0.0466761 | + | 0.998910i | \(0.485137\pi\) |
−0.888420 | + | 0.459032i | \(0.848196\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.30278 | + | 7.45263i | 0.250517 | + | 0.433909i | ||||
\(296\) | 6.00000 | 0.348743 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −16.9722 | −0.983176 | ||||||||
\(299\) | 0.908327 | + | 1.57327i | 0.0525299 | + | 0.0909845i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 15.2111 | − | 26.3464i | 0.876753 | − | 1.51858i | ||||
\(302\) | −9.39445 | + | 16.2717i | −0.540590 | + | 0.936329i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.95416 | − | 10.3129i | −0.341495 | − | 0.591486i | ||||
\(305\) | −10.2111 | −0.584686 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −20.4222 | −1.16556 | −0.582778 | − | 0.812631i | \(-0.698034\pi\) | ||||
−0.582778 | + | 0.812631i | \(0.698034\pi\) | |||||||
\(308\) | 1.81665 | + | 3.14654i | 0.103513 | + | 0.179291i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.04584 | + | 1.81144i | −0.0593995 | + | 0.102883i | ||||
\(311\) | 6.90833 | − | 11.9656i | 0.391735 | − | 0.678505i | −0.600943 | − | 0.799292i | \(-0.705208\pi\) |
0.992679 | + | 0.120786i | \(0.0385416\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −11.8167 | − | 20.4670i | −0.667917 | − | 1.15687i | −0.978486 | − | 0.206315i | \(-0.933853\pi\) |
0.310569 | − | 0.950551i | \(-0.399480\pi\) | |||||||
\(314\) | −4.97224 | −0.280600 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.33053 | 0.0748483 | ||||||||
\(317\) | −0.197224 | − | 0.341603i | −0.0110772 | − | 0.0191863i | 0.860434 | − | 0.509562i | \(-0.170193\pi\) |
−0.871511 | + | 0.490376i | \(0.836859\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.2111 | − | 19.4182i | 0.627701 | − | 1.08721i | ||||
\(320\) | 4.40833 | − | 7.63545i | 0.246433 | − | 0.426834i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.00000 | + | 15.5885i | 0.501550 | + | 0.868711i | ||||
\(323\) | −20.2111 | −1.12458 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.605551 | −0.0335899 | ||||||||
\(326\) | 1.30278 | + | 2.25647i | 0.0721541 | + | 0.124975i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.90833 | − | 6.76942i | 0.215801 | − | 0.373779i | ||||
\(329\) | 12.0000 | − | 20.7846i | 0.661581 | − | 1.14589i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.39445 | − | 12.8076i | −0.406436 | − | 0.703967i | 0.588052 | − | 0.808823i | \(-0.299895\pi\) |
−0.994487 | + | 0.104856i | \(0.966562\pi\) | |||||||
\(332\) | 0.908327 | 0.0498509 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.90833 | −0.213854 | ||||||||
\(335\) | −7.60555 | − | 13.1732i | −0.415536 | − | 0.719729i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.302776 | − | 0.524423i | 0.0164932 | − | 0.0285671i | −0.857661 | − | 0.514216i | \(-0.828083\pi\) |
0.874154 | + | 0.485648i | \(0.161416\pi\) | |||||||
\(338\) | −8.22918 | + | 14.2534i | −0.447609 | + | 0.775281i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.848612 | − | 1.46984i | −0.0460225 | − | 0.0797132i | ||||
\(341\) | 4.18335 | 0.226541 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 33.2111 | 1.79323 | ||||||||
\(344\) | 9.90833 | + | 17.1617i | 0.534221 | + | 0.925298i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.04584 | + | 12.2037i | −0.378787 | + | 0.656077i | ||||
\(347\) | 0.788897 | − | 1.36641i | 0.0423502 | − | 0.0733528i | −0.844073 | − | 0.536228i | \(-0.819849\pi\) |
0.886424 | + | 0.462875i | \(0.153182\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.9222 | − | 22.3819i | −0.691710 | − | 1.19808i | −0.971277 | − | 0.237950i | \(-0.923524\pi\) |
0.279568 | − | 0.960126i | \(-0.409809\pi\) | |||||||
\(350\) | −6.00000 | −0.320713 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.42221 | −0.235704 | ||||||||
\(353\) | −10.8167 | − | 18.7350i | −0.575712 | − | 0.997163i | −0.995964 | − | 0.0897554i | \(-0.971391\pi\) |
0.420251 | − | 0.907408i | \(-0.361942\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.30278 | + | 12.6488i | −0.387591 | + | 0.671327i | ||||
\(356\) | −1.18335 | + | 2.04962i | −0.0627172 | + | 0.108629i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.42221 | + | 7.65948i | 0.233721 | + | 0.404816i | ||||
\(359\) | −33.6333 | −1.77510 | −0.887549 | − | 0.460713i | \(-0.847594\pi\) | ||||
−0.887549 | + | 0.460713i | \(0.847594\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.00000 | −0.315789 | ||||||||
\(362\) | −4.55971 | − | 7.89766i | −0.239653 | − | 0.415092i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.422205 | + | 0.731281i | −0.0221296 | + | 0.0383295i | ||||
\(365\) | 2.69722 | − | 4.67173i | 0.141179 | − | 0.244530i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.30278 | − | 3.98852i | −0.120204 | − | 0.208199i | 0.799644 | − | 0.600474i | \(-0.205022\pi\) |
−0.919848 | + | 0.392275i | \(0.871688\pi\) | |||||||
\(368\) | −9.90833 | −0.516507 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.60555 | 0.135456 | ||||||||
\(371\) | −12.9083 | − | 22.3579i | −0.670167 | − | 1.16076i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.39445 | − | 9.34346i | 0.279314 | − | 0.483786i | −0.691900 | − | 0.721993i | \(-0.743226\pi\) |
0.971214 | + | 0.238207i | \(0.0765596\pi\) | |||||||
\(374\) | 9.51388 | − | 16.4785i | 0.491951 | − | 0.852084i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.81665 | + | 13.5388i | 0.403113 | + | 0.698212i | ||||
\(377\) | 5.21110 | 0.268385 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.3944 | 0.739393 | 0.369697 | − | 0.929153i | \(-0.379462\pi\) | ||||
0.369697 | + | 0.929153i | \(0.379462\pi\) | |||||||
\(380\) | 0.545837 | + | 0.945417i | 0.0280008 | + | 0.0484988i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.6972 | + | 18.5281i | −0.547318 | + | 0.947982i | ||||
\(383\) | −9.31665 | + | 16.1369i | −0.476059 | + | 0.824558i | −0.999624 | − | 0.0274277i | \(-0.991268\pi\) |
0.523565 | + | 0.851986i | \(0.324602\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.00000 | + | 10.3923i | 0.305788 | + | 0.529641i | ||||
\(386\) | −28.4222 | −1.44665 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.42221 | −0.122969 | ||||||||
\(389\) | 2.09167 | + | 3.62288i | 0.106052 | + | 0.183688i | 0.914168 | − | 0.405337i | \(-0.132846\pi\) |
−0.808116 | + | 0.589024i | \(0.799512\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.40833 | + | 14.5636i | −0.425227 | + | 0.736515i | ||||
\(392\) | −21.3167 | + | 36.9215i | −1.07665 | + | 1.86482i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.770817 | + | 1.33509i | 0.0388332 | + | 0.0672611i | ||||
\(395\) | 4.39445 | 0.221109 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.6056 | −0.632654 | −0.316327 | − | 0.948650i | \(-0.602450\pi\) | ||||
−0.316327 | + | 0.948650i | \(0.602450\pi\) | |||||||
\(398\) | 8.60555 | + | 14.9053i | 0.431357 | + | 0.747133i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.65139 | − | 2.86029i | 0.0825694 | − | 0.143014i | ||||
\(401\) | −15.0000 | + | 25.9808i | −0.749064 | + | 1.29742i | 0.199207 | + | 0.979957i | \(0.436163\pi\) |
−0.948272 | + | 0.317460i | \(0.897170\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.486122 | + | 0.841988i | 0.0242155 | + | 0.0419424i | ||||
\(404\) | 3.63331 | 0.180764 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 51.6333 | 2.56252 | ||||||||
\(407\) | −2.60555 | − | 4.51295i | −0.129152 | − | 0.223698i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.50000 | + | 4.33013i | −0.123617 | + | 0.214111i | −0.921192 | − | 0.389109i | \(-0.872783\pi\) |
0.797574 | + | 0.603220i | \(0.206116\pi\) | |||||||
\(410\) | 1.69722 | − | 2.93968i | 0.0838199 | − | 0.145180i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.605551 | − | 1.04885i | −0.0298334 | − | 0.0516729i | ||||
\(413\) | 39.6333 | 1.95023 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.00000 | 0.147264 | ||||||||
\(416\) | −0.513878 | − | 0.890063i | −0.0251950 | − | 0.0436389i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.11943 | + | 10.5992i | −0.299311 | + | 0.518422i | ||||
\(419\) | −6.51388 | + | 11.2824i | −0.318224 | + | 0.551180i | −0.980118 | − | 0.198418i | \(-0.936420\pi\) |
0.661894 | + | 0.749598i | \(0.269753\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.7111 | + | 20.2842i | 0.570764 | + | 0.988593i | 0.996488 | + | 0.0837393i | \(0.0266863\pi\) |
−0.425723 | + | 0.904853i | \(0.639980\pi\) | |||||||
\(422\) | −16.6972 | −0.812808 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.8167 | 0.816689 | ||||||||
\(425\) | −2.80278 | − | 4.85455i | −0.135955 | − | 0.235480i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −23.5139 | + | 40.7272i | −1.13792 | + | 1.97093i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.30278 | + | 7.45263i | 0.207498 | + | 0.359398i | ||||
\(431\) | −25.8167 | −1.24354 | −0.621772 | − | 0.783198i | \(-0.713587\pi\) | ||||
−0.621772 | + | 0.783198i | \(0.713587\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −28.2389 | −1.35707 | −0.678536 | − | 0.734567i | \(-0.737385\pi\) | ||||
−0.678536 | + | 0.734567i | \(0.737385\pi\) | |||||||
\(434\) | 4.81665 | + | 8.34269i | 0.231207 | + | 0.400462i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.05971 | + | 1.83548i | −0.0507511 | + | 0.0879035i | ||||
\(437\) | 5.40833 | − | 9.36750i | 0.258715 | − | 0.448108i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.1972 | − | 17.6621i | −0.486687 | − | 0.842967i | 0.513196 | − | 0.858271i | \(-0.328461\pi\) |
−0.999883 | + | 0.0153049i | \(0.995128\pi\) | |||||||
\(440\) | −7.81665 | −0.372644 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.42221 | 0.210343 | ||||||||
\(443\) | 9.31665 | + | 16.1369i | 0.442648 | + | 0.766688i | 0.997885 | − | 0.0650038i | \(-0.0207059\pi\) |
−0.555237 | + | 0.831692i | \(0.687373\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.90833 | + | 6.76942i | −0.185272 | + | 0.320901i | ||||
\(446\) | −6.51388 | + | 11.2824i | −0.308441 | + | 0.534236i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.3028 | − | 35.1654i | −0.959216 | − | 1.66141i | ||||
\(449\) | 12.2389 | 0.577587 | 0.288794 | − | 0.957391i | \(-0.406746\pi\) | ||||
0.288794 | + | 0.957391i | \(0.406746\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.78890 | −0.319677 | ||||||||
\(452\) | 0.119429 | + | 0.206858i | 0.00561749 | + | 0.00972978i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 17.0736 | − | 29.5723i | 0.801303 | − | 1.38790i | ||||
\(455\) | −1.39445 | + | 2.41526i | −0.0653728 | + | 0.113229i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.605551 | − | 1.04885i | −0.0283265 | − | 0.0490629i | 0.851515 | − | 0.524331i | \(-0.175684\pi\) |
−0.879841 | + | 0.475268i | \(0.842351\pi\) | |||||||
\(458\) | 8.09167 | 0.378099 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.908327 | 0.0423510 | ||||||||
\(461\) | −10.8167 | − | 18.7350i | −0.503782 | − | 0.872576i | −0.999990 | − | 0.00437236i | \(-0.998608\pi\) |
0.496209 | − | 0.868203i | \(-0.334725\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.60555 | − | 13.1732i | 0.353460 | − | 0.612211i | −0.633393 | − | 0.773830i | \(-0.718338\pi\) |
0.986853 | + | 0.161620i | \(0.0516717\pi\) | |||||||
\(464\) | −14.2111 | + | 24.6144i | −0.659734 | + | 1.14269i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.7250 | + | 20.3083i | 0.543149 | + | 0.940762i | ||||
\(467\) | 2.21110 | 0.102318 | 0.0511588 | − | 0.998691i | \(-0.483709\pi\) | ||||
0.0511588 | + | 0.998691i | \(0.483709\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −70.0555 | −3.23486 | ||||||||
\(470\) | 3.39445 | + | 5.87936i | 0.156574 | + | 0.271195i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −12.9083 | + | 22.3579i | −0.594154 | + | 1.02910i | ||||
\(473\) | 8.60555 | − | 14.9053i | 0.395684 | − | 0.685344i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.80278 | + | 3.12250i | 0.0827170 | + | 0.143270i | ||||
\(476\) | −7.81665 | −0.358276 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.02776 | −0.0470085 | ||||||||
\(479\) | −8.09167 | − | 14.0152i | −0.369718 | − | 0.640370i | 0.619803 | − | 0.784757i | \(-0.287212\pi\) |
−0.989521 | + | 0.144387i | \(0.953879\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.605551 | − | 1.04885i | 0.0276108 | − | 0.0478232i | ||||
\(482\) | 18.3764 | − | 31.8288i | 0.837021 | − | 1.44976i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.637510 | − | 1.10420i | −0.0289777 | − | 0.0501909i | ||||
\(485\) | −8.00000 | −0.363261 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.18335 | −0.370823 | −0.185411 | − | 0.982661i | \(-0.559362\pi\) | ||||
−0.185411 | + | 0.982661i | \(0.559362\pi\) | |||||||
\(488\) | −15.3167 | − | 26.5292i | −0.693352 | − | 1.20092i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −9.25694 | + | 16.0335i | −0.418186 | + | 0.724319i | ||||
\(491\) | 6.39445 | − | 11.0755i | 0.288577 | − | 0.499831i | −0.684893 | − | 0.728644i | \(-0.740151\pi\) |
0.973470 | + | 0.228813i | \(0.0734844\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 24.1194 | + | 41.7761i | 1.08628 | + | 1.88150i | ||||
\(494\) | −2.84441 | −0.127976 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.30278 | −0.238102 | ||||||||
\(497\) | 33.6333 | + | 58.2546i | 1.50866 | + | 2.61308i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.8028 | − | 23.9071i | 0.617897 | − | 1.07023i | −0.371972 | − | 0.928244i | \(-0.621318\pi\) |
0.989869 | − | 0.141985i | \(-0.0453485\pi\) | |||||||
\(500\) | −0.151388 | + | 0.262211i | −0.00677027 | + | 0.0117265i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 10.1833 | + | 17.6381i | 0.454505 | + | 0.787226i | ||||
\(503\) | −31.4222 | −1.40105 | −0.700523 | − | 0.713629i | \(-0.747050\pi\) | ||||
−0.700523 | + | 0.713629i | \(0.747050\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.0000 | 0.533993 | ||||||||
\(506\) | 5.09167 | + | 8.81904i | 0.226352 | + | 0.392054i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.724981 | + | 1.25570i | −0.0321658 | + | 0.0557128i | ||||
\(509\) | 16.4222 | − | 28.4441i | 0.727901 | − | 1.26076i | −0.229867 | − | 0.973222i | \(-0.573829\pi\) |
0.957769 | − | 0.287540i | \(-0.0928375\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.4222 | − | 21.5159i | −0.549526 | − | 0.951807i | ||||
\(512\) | 25.4222 | 1.12351 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 29.7250 | 1.31111 | ||||||||
\(515\) | −2.00000 | − | 3.46410i | −0.0881305 | − | 0.152647i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.78890 | − | 11.7587i | 0.298575 | − | 0.517148i | ||||
\(518\) | 6.00000 | − | 10.3923i | 0.263625 | − | 0.456612i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.908327 | − | 1.57327i | −0.0398328 | − | 0.0689924i | ||||
\(521\) | 21.3944 | 0.937308 | 0.468654 | − | 0.883382i | \(-0.344739\pi\) | ||||
0.468654 | + | 0.883382i | \(0.344739\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 23.3944 | 1.02297 | 0.511484 | − | 0.859293i | \(-0.329096\pi\) | ||||
0.511484 | + | 0.859293i | \(0.329096\pi\) | |||||||
\(524\) | −0.908327 | − | 1.57327i | −0.0396804 | − | 0.0687285i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 11.2111 | − | 19.4182i | 0.488827 | − | 0.846674i | ||||
\(527\) | −4.50000 | + | 7.79423i | −0.196023 | + | 0.339522i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.00000 | + | 12.1244i | 0.304348 | + | 0.527146i | ||||
\(530\) | 7.30278 | 0.317212 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 5.02776 | 0.217981 | ||||||||
\(533\) | −0.788897 | − | 1.36641i | −0.0341709 | − | 0.0591858i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 22.8167 | − | 39.5196i | 0.985529 | − | 1.70699i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −7.30278 | − | 12.6488i | −0.314845 | − | 0.545328i | ||||
\(539\) | 37.0278 | 1.59490 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.5778 | −0.497768 | −0.248884 | − | 0.968533i | \(-0.580064\pi\) | ||||
−0.248884 | + | 0.968533i | \(0.580064\pi\) | |||||||
\(542\) | −12.5320 | − | 21.7060i | −0.538294 | − | 0.932352i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.75694 | − | 8.23926i | 0.203952 | − | 0.353255i | ||||
\(545\) | −3.50000 | + | 6.06218i | −0.149924 | + | 0.259675i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.30278 | + | 5.72058i | 0.141216 | + | 0.244594i | 0.927955 | − | 0.372692i | \(-0.121565\pi\) |
−0.786738 | + | 0.617286i | \(0.788232\pi\) | |||||||
\(548\) | −1.45837 | −0.0622983 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.39445 | −0.144740 | ||||||||
\(551\) | −15.5139 | − | 26.8708i | −0.660913 | − | 1.14474i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.1194 | − | 17.5274i | 0.430322 | − | 0.745339i | ||||
\(554\) | −18.9083 | + | 32.7502i | −0.803338 | + | 1.39142i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.605551 | − | 1.04885i | −0.0256811 | − | 0.0444810i | ||||
\(557\) | 33.6333 | 1.42509 | 0.712544 | − | 0.701627i | \(-0.247543\pi\) | ||||
0.712544 | + | 0.701627i | \(0.247543\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.00000 | 0.169182 | ||||||||
\(560\) | −7.60555 | − | 13.1732i | −0.321393 | − | 0.556669i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.18335 | + | 2.04962i | −0.0499164 | + | 0.0864578i | ||||
\(563\) | 12.0000 | − | 20.7846i | 0.505740 | − | 0.875967i | −0.494238 | − | 0.869326i | \(-0.664553\pi\) |
0.999978 | − | 0.00664037i | \(-0.00211371\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.394449 | + | 0.683205i | 0.0165946 | + | 0.0287427i | ||||
\(566\) | −13.8167 | −0.580757 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −43.8167 | −1.83851 | ||||||||
\(569\) | 18.9083 | + | 32.7502i | 0.792678 | + | 1.37296i | 0.924303 | + | 0.381659i | \(0.124647\pi\) |
−0.131625 | + | 0.991300i | \(0.542019\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.2250 | − | 31.5666i | 0.762692 | − | 1.32102i | −0.178767 | − | 0.983891i | \(-0.557211\pi\) |
0.941458 | − | 0.337129i | \(-0.109456\pi\) | |||||||
\(572\) | −0.238859 | + | 0.413716i | −0.00998719 | + | 0.0172983i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −7.81665 | − | 13.5388i | −0.326261 | − | 0.565100i | ||||
\(575\) | 3.00000 | 0.125109 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 27.8167 | 1.15802 | 0.579011 | − | 0.815320i | \(-0.303439\pi\) | ||||
0.579011 | + | 0.815320i | \(0.303439\pi\) | |||||||
\(578\) | 9.39445 | + | 16.2717i | 0.390758 | + | 0.676812i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.30278 | − | 2.25647i | 0.0540948 | − | 0.0936950i | ||||
\(581\) | 6.90833 | − | 11.9656i | 0.286606 | − | 0.496416i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.30278 | − | 12.6488i | −0.302450 | − | 0.523859i | ||||
\(584\) | 16.1833 | 0.669672 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −37.5416 | −1.55083 | ||||||||
\(587\) | 10.5000 | + | 18.1865i | 0.433381 | + | 0.750639i | 0.997162 | − | 0.0752860i | \(-0.0239870\pi\) |
−0.563781 | + | 0.825925i | \(0.690654\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.89445 | − | 5.01333i | 0.119264 | − | 0.206571i | ||||
\(590\) | −5.60555 | + | 9.70910i | −0.230777 | + | 0.399717i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.30278 | + | 5.72058i | 0.135743 | + | 0.235114i | ||||
\(593\) | −21.2389 | −0.872175 | −0.436088 | − | 0.899904i | \(-0.643636\pi\) | ||||
−0.436088 | + | 0.899904i | \(0.643636\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −25.8167 | −1.05838 | ||||||||
\(596\) | 1.97224 | + | 3.41603i | 0.0807862 | + | 0.139926i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.18335 | + | 2.04962i | −0.0483906 | + | 0.0838150i | ||||
\(599\) | −7.69722 | + | 13.3320i | −0.314500 | + | 0.544730i | −0.979331 | − | 0.202264i | \(-0.935170\pi\) |
0.664831 | + | 0.746994i | \(0.268504\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.3167 | − | 28.2613i | −0.665570 | − | 1.15280i | −0.979130 | − | 0.203233i | \(-0.934855\pi\) |
0.313560 | − | 0.949568i | \(-0.398478\pi\) | |||||||
\(602\) | 39.6333 | 1.61533 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.36669 | 0.177678 | ||||||||
\(605\) | −2.10555 | − | 3.64692i | −0.0856028 | − | 0.148268i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.69722 | + | 15.0640i | −0.353009 | + | 0.611430i | −0.986775 | − | 0.162095i | \(-0.948175\pi\) |
0.633766 | + | 0.773525i | \(0.281508\pi\) | |||||||
\(608\) | −3.05971 | + | 5.29958i | −0.124088 | + | 0.214926i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.65139 | − | 11.5205i | −0.269307 | − | 0.466453i | ||||
\(611\) | 3.15559 | 0.127661 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 28.8444 | 1.16501 | 0.582507 | − | 0.812825i | \(-0.302072\pi\) | ||||
0.582507 | + | 0.812825i | \(0.302072\pi\) | |||||||
\(614\) | −13.3028 | − | 23.0411i | −0.536856 | − | 0.929862i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −18.0000 | + | 31.1769i | −0.725241 | + | 1.25615i | ||||
\(617\) | −13.2250 | + | 22.9063i | −0.532418 | + | 0.922174i | 0.466866 | + | 0.884328i | \(0.345383\pi\) |
−0.999284 | + | 0.0378463i | \(0.987950\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.81665 | + | 6.61064i | 0.153404 | + | 0.265704i | 0.932477 | − | 0.361230i | \(-0.117643\pi\) |
−0.779073 | + | 0.626934i | \(0.784310\pi\) | |||||||
\(620\) | 0.486122 | 0.0195231 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 18.0000 | 0.721734 | ||||||||
\(623\) | 18.0000 | + | 31.1769i | 0.721155 | + | 1.24908i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 15.3944 | − | 26.6640i | 0.615286 | − | 1.06571i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.577795 | + | 1.00077i | 0.0230565 | + | 0.0399351i | ||||
\(629\) | 11.2111 | 0.447016 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 30.0278 | 1.19539 | 0.597693 | − | 0.801725i | \(-0.296084\pi\) | ||||
0.597693 | + | 0.801725i | \(0.296084\pi\) | |||||||
\(632\) | 6.59167 | + | 11.4171i | 0.262203 | + | 0.454148i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.256939 | − | 0.445032i | 0.0102044 | − | 0.0176745i | ||||
\(635\) | −2.39445 | + | 4.14731i | −0.0950208 | + | 0.164581i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.30278 | + | 7.45263i | 0.170482 | + | 0.295284i | ||||
\(638\) | 29.2111 | 1.15648 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.09167 | 0.319851 | ||||||||
\(641\) | −12.0000 | − | 20.7846i | −0.473972 | − | 0.820943i | 0.525584 | − | 0.850741i | \(-0.323847\pi\) |
−0.999556 | + | 0.0297987i | \(0.990513\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.5139 | − | 19.9426i | 0.454063 | − | 0.786460i | −0.544571 | − | 0.838715i | \(-0.683307\pi\) |
0.998634 | + | 0.0522547i | \(0.0166408\pi\) | |||||||
\(644\) | 2.09167 | − | 3.62288i | 0.0824235 | − | 0.142762i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.1653 | − | 22.8029i | −0.517980 | − | 0.897168i | ||||
\(647\) | −38.2111 | −1.50223 | −0.751117 | − | 0.660169i | \(-0.770484\pi\) | ||||
−0.751117 | + | 0.660169i | \(0.770484\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 22.4222 | 0.880149 | ||||||||
\(650\) | −0.394449 | − | 0.683205i | −0.0154716 | − | 0.0267975i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.302776 | − | 0.524423i | 0.0118576 | − | 0.0205380i | ||||
\(653\) | 13.6194 | − | 23.5895i | 0.532969 | − | 0.923130i | −0.466289 | − | 0.884632i | \(-0.654409\pi\) |
0.999259 | − | 0.0384979i | \(-0.0122573\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.00000 | − | 5.19615i | −0.117220 | − | 0.203030i | ||||
\(656\) | 8.60555 | 0.335990 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 31.2666 | 1.21890 | ||||||||
\(659\) | −10.3028 | − | 17.8449i | −0.401339 | − | 0.695140i | 0.592549 | − | 0.805535i | \(-0.298122\pi\) |
−0.993888 | + | 0.110395i | \(0.964788\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.4222 | + | 19.7838i | −0.444272 | + | 0.769502i | −0.998001 | − | 0.0631948i | \(-0.979871\pi\) |
0.553729 | + | 0.832697i | \(0.313204\pi\) | |||||||
\(662\) | 9.63331 | − | 16.6854i | 0.374409 | − | 0.648496i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.50000 | + | 7.79423i | 0.174634 | + | 0.302475i | ||||
\(665\) | 16.6056 | 0.643936 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −25.8167 | −0.999625 | ||||||||
\(668\) | 0.454163 | + | 0.786634i | 0.0175721 | + | 0.0304358i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 9.90833 | − | 17.1617i | 0.382792 | − | 0.663015i | ||||
\(671\) | −13.3028 | + | 23.0411i | −0.513548 | + | 0.889491i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.51388 | + | 9.55032i | 0.212544 | + | 0.368138i | 0.952510 | − | 0.304507i | \(-0.0984917\pi\) |
−0.739966 | + | 0.672645i | \(0.765158\pi\) | |||||||
\(674\) | 0.788897 | 0.0303872 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.82506 | 0.147118 | ||||||||
\(677\) | −10.8167 | − | 18.7350i | −0.415718 | − | 0.720044i | 0.579786 | − | 0.814769i | \(-0.303136\pi\) |
−0.995504 | + | 0.0947247i | \(0.969803\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −18.4222 | + | 31.9082i | −0.706979 | + | 1.22452i | ||||
\(680\) | 8.40833 | − | 14.5636i | 0.322445 | − | 0.558490i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.72498 | + | 4.71981i | 0.104345 | + | 0.180731i | ||||
\(683\) | 9.00000 | 0.344375 | 0.172188 | − | 0.985064i | \(-0.444916\pi\) | ||||
0.172188 | + | 0.985064i | \(0.444916\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.81665 | −0.184035 | ||||||||
\(686\) | 21.6333 | + | 37.4700i | 0.825964 | + | 1.43061i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.9083 | + | 18.8938i | −0.415876 | + | 0.720318i | ||||
\(689\) | 1.69722 | − | 2.93968i | 0.0646591 | − | 0.111993i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.19722 | − | 2.07365i | −0.0455446 | − | 0.0788855i | 0.842354 | − | 0.538924i | \(-0.181169\pi\) |
−0.887899 | + | 0.460038i | \(0.847836\pi\) | |||||||
\(692\) | 3.27502 | 0.124498 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.05551 | 0.0780262 | ||||||||
\(695\) | −2.00000 | − | 3.46410i | −0.0758643 | − | 0.131401i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.30278 | − | 12.6488i | 0.276612 | − | 0.479107i | ||||
\(698\) | 16.8347 | − | 29.1586i | 0.637204 | − | 1.10367i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.697224 | + | 1.20763i | 0.0263526 | + | 0.0456440i | ||||
\(701\) | −40.4222 | −1.52673 | −0.763363 | − | 0.645970i | \(-0.776453\pi\) | ||||
−0.763363 | + | 0.645970i | \(0.776453\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.21110 | −0.271972 | ||||||||
\(704\) | −11.4861 | − | 19.8945i | −0.432900 | − | 0.749804i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.0917 | − | 24.4075i | 0.530347 | − | 0.918588i | ||||
\(707\) | 27.6333 | − | 47.8623i | 1.03926 | − | 1.80005i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −17.4222 | − | 30.1761i | −0.654305 | − | 1.13329i | −0.982068 | − | 0.188529i | \(-0.939628\pi\) |
0.327763 | − | 0.944760i | \(-0.393705\pi\) | |||||||
\(710\) | −19.0278 | −0.714099 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −23.4500 | −0.878824 | ||||||||
\(713\) | −2.40833 | − | 4.17134i | −0.0901926 | − | 0.156218i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.788897 | + | 1.36641i | −0.0295031 | + | 0.0511009i | ||||
\(716\) | 1.02776 | − | 1.78013i | 0.0384091 | − | 0.0665264i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −21.9083 | − | 37.9463i | −0.817611 | − | 1.41614i | ||||
\(719\) | 49.2666 | 1.83733 | 0.918667 | − | 0.395032i | \(-0.129267\pi\) | ||||
0.918667 | + | 0.395032i | \(0.129267\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.4222 | −0.686079 | ||||||||
\(722\) | −3.90833 | − | 6.76942i | −0.145453 | − | 0.251932i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.05971 | + | 1.83548i | −0.0393840 | + | 0.0682151i | ||||
\(725\) | 4.30278 | − | 7.45263i | 0.159801 | − | 0.276784i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.81665 | + | 6.61064i | 0.141552 | + | 0.245175i | 0.928081 | − | 0.372378i | \(-0.121457\pi\) |
−0.786529 | + | 0.617553i | \(0.788124\pi\) | |||||||
\(728\) | −8.36669 | −0.310090 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.02776 | 0.260109 | ||||||||
\(731\) | 18.5139 | + | 32.0670i | 0.684761 | + | 1.18604i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.0000 | + | 27.7128i | −0.590973 | + | 1.02360i | 0.403128 | + | 0.915144i | \(0.367923\pi\) |
−0.994102 | + | 0.108453i | \(0.965410\pi\) | |||||||
\(734\) | 3.00000 | − | 5.19615i | 0.110732 | − | 0.191793i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.54584 | + | 4.40952i | 0.0938408 | + | 0.162537i | ||||
\(737\) | −39.6333 | −1.45991 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.0278 | 1.10459 | 0.552294 | − | 0.833649i | \(-0.313752\pi\) | ||||
0.552294 | + | 0.833649i | \(0.313752\pi\) | |||||||
\(740\) | −0.302776 | − | 0.524423i | −0.0111303 | − | 0.0192782i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 16.8167 | − | 29.1273i | 0.617359 | − | 1.06930i | ||||
\(743\) | −17.2111 | + | 29.8105i | −0.631414 | + | 1.09364i | 0.355849 | + | 0.934544i | \(0.384192\pi\) |
−0.987263 | + | 0.159098i | \(0.949141\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.51388 | + | 11.2824i | 0.238650 | + | 0.413354i | ||||
\(746\) | 14.0555 | 0.514609 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4.42221 | −0.161692 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.01388 | + | 5.22019i | −0.109978 | + | 0.190487i | −0.915761 | − | 0.401723i | \(-0.868411\pi\) |
0.805783 | + | 0.592211i | \(0.201745\pi\) | |||||||
\(752\) | −8.60555 | + | 14.9053i | −0.313812 | + | 0.543539i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.39445 | + | 5.87936i | 0.123619 | + | 0.214114i | ||||
\(755\) | 14.4222 | 0.524878 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 31.2111 | 1.13439 | 0.567193 | − | 0.823585i | \(-0.308029\pi\) | ||||
0.567193 | + | 0.823585i | \(0.308029\pi\) | |||||||
\(758\) | 9.37637 | + | 16.2403i | 0.340565 | + | 0.589876i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.40833 | + | 9.36750i | −0.196181 | + | 0.339795i | ||||
\(761\) | −26.7250 | + | 46.2890i | −0.968780 | + | 1.67798i | −0.269682 | + | 0.962949i | \(0.586919\pi\) |
−0.699097 | + | 0.715027i | \(0.746415\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 16.1194 | + | 27.9197i | 0.583563 | + | 1.01076i | ||||
\(764\) | 4.97224 | 0.179889 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −24.2750 | −0.877092 | ||||||||
\(767\) | 2.60555 | + | 4.51295i | 0.0940810 | + | 0.162953i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.5000 | + | 35.5070i | −0.739249 | + | 1.28042i | 0.213585 | + | 0.976924i | \(0.431486\pi\) |
−0.952834 | + | 0.303492i | \(0.901847\pi\) | |||||||
\(770\) | −7.81665 | + | 13.5388i | −0.281693 | + | 0.487906i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.30278 | + | 5.72058i | 0.118869 | + | 0.205888i | ||||
\(773\) | −16.8167 | −0.604853 | −0.302426 | − | 0.953173i | \(-0.597797\pi\) | ||||
−0.302426 | + | 0.953173i | \(0.597797\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.60555 | 0.0576731 | ||||||||
\(776\) | −12.0000 | − | 20.7846i | −0.430775 | − | 0.746124i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.72498 | + | 4.71981i | −0.0976953 | + | 0.169213i | ||||
\(779\) | −4.69722 | + | 8.13583i | −0.168296 | + | 0.291496i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 19.0278 | + | 32.9570i | 0.680867 | + | 1.17930i | ||||
\(782\) | −21.9083 | −0.783440 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −46.9361 | −1.67629 | ||||||||
\(785\) | 1.90833 | + | 3.30532i |