Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1232,2,Mod(177,1232)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1232, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1232.177");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1232 = 2^{4} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1232.q (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: | \(9.83756952902\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} + 2x^{2} + 4 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 154) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 177.2 | ||
Root | \(0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1232.177 |
Dual form | 1232.2.q.f.529.2 |
$q$-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 \(\left(\mathbb{Z}/1232\mathbb{Z}\right)^\times\).
\(n\) | \(309\) | \(353\) | \(463\) | \(673\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.207107 | + | 0.358719i | 0.119573 | + | 0.207107i | 0.919599 | − | 0.392859i | \(-0.128514\pi\) |
−0.800025 | + | 0.599966i | \(0.795181\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.70711 | − | 2.95680i | 0.763441 | − | 1.32232i | −0.177625 | − | 0.984098i | \(-0.556842\pi\) |
0.941067 | − | 0.338221i | \(-0.109825\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.62132 | + | 0.358719i | 0.990766 | + | 0.135583i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.41421 | − | 2.44949i | 0.471405 | − | 0.816497i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.500000 | + | 0.866025i | 0.150756 | + | 0.261116i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.82843 | 0.507114 | 0.253557 | − | 0.967320i | \(-0.418399\pi\) | ||||
0.253557 | + | 0.967320i | \(0.418399\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.41421 | 0.365148 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.82843 | + | 6.63103i | 0.928530 | + | 1.60826i | 0.785783 | + | 0.618502i | \(0.212260\pi\) |
0.142747 | + | 0.989759i | \(0.454407\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.70711 | + | 2.95680i | −0.391637 | + | 0.678335i | −0.992666 | − | 0.120892i | \(-0.961424\pi\) |
0.601028 | + | 0.799228i | \(0.294758\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.414214 | + | 1.01461i | 0.0903888 | + | 0.221406i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.12132 | − | 1.94218i | 0.233811 | − | 0.404973i | −0.725115 | − | 0.688628i | \(-0.758213\pi\) |
0.958927 | + | 0.283654i | \(0.0915468\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.32843 | − | 5.76500i | −0.665685 | − | 1.15300i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.41421 | 0.464616 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.65685 | −1.60754 | −0.803769 | − | 0.594942i | \(-0.797175\pi\) | ||||
−0.803769 | + | 0.594942i | \(0.797175\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.00000 | − | 3.46410i | −0.359211 | − | 0.622171i | 0.628619 | − | 0.777714i | \(-0.283621\pi\) |
−0.987829 | + | 0.155543i | \(0.950287\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.207107 | + | 0.358719i | −0.0360527 | + | 0.0624450i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.53553 | − | 7.13834i | 0.935676 | − | 1.20660i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.29289 | − | 5.70346i | 0.541348 | − | 0.937643i | −0.457479 | − | 0.889221i | \(-0.651247\pi\) |
0.998827 | − | 0.0484222i | \(-0.0154193\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.378680 | + | 0.655892i | 0.0606373 | + | 0.105027i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.58579 | −0.403832 | −0.201916 | − | 0.979403i | \(-0.564717\pi\) | ||||
−0.201916 | + | 0.979403i | \(0.564717\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.65685 | −0.862662 | −0.431331 | − | 0.902194i | \(-0.641956\pi\) | ||||
−0.431331 | + | 0.902194i | \(0.641956\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.82843 | − | 8.36308i | −0.719779 | − | 1.24669i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.24264 | − | 5.61642i | 0.472988 | − | 0.819239i | −0.526534 | − | 0.850154i | \(-0.676509\pi\) |
0.999522 | + | 0.0309151i | \(0.00984215\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.74264 | + | 1.88064i | 0.963234 | + | 0.268662i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.58579 | + | 2.74666i | −0.222055 | + | 0.384610i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.94975 | + | 10.3053i | 0.817261 | + | 1.41554i | 0.907693 | + | 0.419634i | \(0.137842\pi\) |
−0.0904325 | + | 0.995903i | \(0.528825\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.41421 | 0.460372 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.41421 | −0.187317 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.20711 | − | 7.28692i | −0.547719 | − | 0.948677i | −0.998430 | − | 0.0560070i | \(-0.982163\pi\) |
0.450712 | − | 0.892670i | \(-0.351170\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.08579 | + | 5.34474i | −0.395094 | + | 0.684324i | −0.993113 | − | 0.117158i | \(-0.962621\pi\) |
0.598019 | + | 0.801482i | \(0.295955\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.58579 | − | 5.91359i | 0.577755 | − | 0.745042i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.12132 | − | 5.40629i | 0.387152 | − | 0.670567i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.62132 | + | 9.73641i | 0.686754 | + | 1.18949i | 0.972882 | + | 0.231301i | \(0.0742982\pi\) |
−0.286129 | + | 0.958191i | \(0.592368\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.928932 | 0.111830 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.07107 | −0.364469 | −0.182234 | − | 0.983255i | \(-0.558333\pi\) | ||||
−0.182234 | + | 0.983255i | \(0.558333\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.29289 | + | 5.70346i | 0.385404 | + | 0.667539i | 0.991825 | − | 0.127604i | \(-0.0407288\pi\) |
−0.606421 | + | 0.795144i | \(0.707395\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.37868 | − | 2.38794i | 0.159196 | − | 0.275736i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.00000 | + | 2.44949i | 0.113961 | + | 0.279145i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.37868 | + | 4.11999i | −0.267622 | + | 0.463536i | −0.968247 | − | 0.249994i | \(-0.919571\pi\) |
0.700625 | + | 0.713530i | \(0.252905\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.74264 | − | 6.48244i | −0.415849 | − | 0.720272i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −16.1421 | −1.77183 | −0.885915 | − | 0.463848i | \(-0.846468\pi\) | ||||
−0.885915 | + | 0.463848i | \(0.846468\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 26.1421 | 2.83551 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.79289 | − | 3.10538i | −0.192218 | − | 0.332932i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.24264 | − | 3.88437i | 0.237719 | − | 0.411742i | −0.722340 | − | 0.691538i | \(-0.756933\pi\) |
0.960060 | + | 0.279796i | \(0.0902668\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.79289 | + | 0.655892i | 0.502432 | + | 0.0687562i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.828427 | − | 1.43488i | 0.0859039 | − | 0.148790i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 5.82843 | + | 10.0951i | 0.597984 | + | 1.03574i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.82843 | 0.185649 | 0.0928243 | − | 0.995683i | \(-0.470411\pi\) | ||||
0.0928243 | + | 0.995683i | \(0.470411\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.82843 | 0.284268 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.91421 | − | 10.2437i | −0.588486 | − | 1.01929i | −0.994431 | − | 0.105390i | \(-0.966391\pi\) |
0.405945 | − | 0.913898i | \(-0.366943\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.29289 | − | 9.16756i | 0.521524 | − | 0.903307i | −0.478162 | − | 0.878271i | \(-0.658697\pi\) |
0.999687 | − | 0.0250350i | \(-0.00796973\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.70711 | + | 0.507306i | 0.361777 | + | 0.0495080i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.53553 | − | 9.58783i | 0.535140 | − | 0.926890i | −0.464016 | − | 0.885827i | \(-0.653592\pi\) |
0.999157 | − | 0.0410635i | \(-0.0130746\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.242641 | + | 0.420266i | 0.0232408 | + | 0.0402542i | 0.877412 | − | 0.479738i | \(-0.159268\pi\) |
−0.854171 | + | 0.519992i | \(0.825935\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.72792 | 0.258923 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −13.8284 | −1.30087 | −0.650434 | − | 0.759562i | \(-0.725413\pi\) | ||||
−0.650434 | + | 0.759562i | \(0.725413\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.82843 | − | 6.63103i | −0.357003 | − | 0.618347i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.58579 | − | 4.47871i | 0.239056 | − | 0.414057i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 7.65685 | + | 18.7554i | 0.701903 | + | 1.71930i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | + | 0.866025i | −0.0454545 | + | 0.0787296i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.535534 | − | 0.927572i | −0.0482875 | − | 0.0836363i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.65685 | −0.505964 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.72792 | 0.863213 | 0.431607 | − | 0.902062i | \(-0.357947\pi\) | ||||
0.431607 | + | 0.902062i | \(0.357947\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.17157 | − | 2.02922i | −0.103151 | − | 0.178663i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.70711 | + | 2.95680i | −0.149151 | + | 0.258336i | −0.930914 | − | 0.365239i | \(-0.880987\pi\) |
0.781763 | + | 0.623575i | \(0.214321\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.53553 | + | 7.13834i | −0.479992 | + | 0.618972i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.12132 | − | 7.13834i | 0.354707 | − | 0.614370i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.67157 | + | 4.62730i | 0.228248 | + | 0.395337i | 0.957289 | − | 0.289133i | \(-0.0933670\pi\) |
−0.729041 | + | 0.684470i | \(0.760034\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.68629 | 0.226227 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.914214 | + | 1.58346i | 0.0764504 | + | 0.132416i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.7782 | + | 25.5965i | −1.22726 | + | 2.12568i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.721825 | + | 2.80821i | 0.0595352 | + | 0.231617i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.17157 | + | 5.49333i | −0.259825 | + | 0.450031i | −0.966195 | − | 0.257812i | \(-0.916998\pi\) |
0.706370 | + | 0.707843i | \(0.250332\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.86396 | + | 8.42463i | 0.395824 | + | 0.685586i | 0.993206 | − | 0.116370i | \(-0.0371259\pi\) |
−0.597382 | + | 0.801957i | \(0.703793\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 21.6569 | 1.75085 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −13.6569 | −1.09694 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.17157 | − | 5.49333i | −0.253119 | − | 0.438415i | 0.711264 | − | 0.702925i | \(-0.248123\pi\) |
−0.964383 | + | 0.264510i | \(0.914790\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.46447 | + | 4.26858i | −0.195445 | + | 0.338520i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.63604 | − | 4.68885i | 0.286560 | − | 0.369533i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.86396 | + | 13.6208i | −0.615953 | + | 1.06686i | 0.374264 | + | 0.927322i | \(0.377896\pi\) |
−0.990217 | + | 0.139539i | \(0.955438\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.707107 | + | 1.22474i | 0.0550482 | + | 0.0953463i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 11.7279 | 0.907534 | 0.453767 | − | 0.891120i | \(-0.350080\pi\) | ||||
0.453767 | + | 0.891120i | \(0.350080\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.65685 | −0.742835 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.82843 | + | 8.36308i | 0.369239 | + | 0.639541i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.08579 | − | 3.61269i | 0.158579 | − | 0.274668i | −0.775777 | − | 0.631007i | \(-0.782642\pi\) |
0.934357 | + | 0.356339i | \(0.115975\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.65685 | − | 16.3059i | −0.503211 | − | 1.23261i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.74264 | − | 3.01834i | 0.130985 | − | 0.226872i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.44975 | − | 16.3674i | −0.706307 | − | 1.22336i | −0.966218 | − | 0.257727i | \(-0.917026\pi\) |
0.259910 | − | 0.965633i | \(-0.416307\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.65685 | 0.271812 | 0.135906 | − | 0.990722i | \(-0.456606\pi\) | ||||
0.135906 | + | 0.990722i | \(0.456606\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.55635 | −0.188971 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −11.2426 | − | 19.4728i | −0.826575 | − | 1.43167i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.82843 | + | 6.63103i | −0.279962 | + | 0.484909i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 6.32843 | + | 0.866025i | 0.460325 | + | 0.0629941i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.41421 | + | 11.1097i | −0.464116 | + | 0.803873i | −0.999161 | − | 0.0409507i | \(-0.986961\pi\) |
0.535045 | + | 0.844824i | \(0.320295\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.05025 | − | 1.81909i | −0.0755988 | − | 0.130941i | 0.825748 | − | 0.564040i | \(-0.190754\pi\) |
−0.901347 | + | 0.433099i | \(0.857420\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.58579 | 0.185172 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −17.4853 | −1.24577 | −0.622887 | − | 0.782312i | \(-0.714041\pi\) | ||||
−0.622887 | + | 0.782312i | \(0.714041\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.94975 | + | 17.2335i | 0.705319 | + | 1.22165i | 0.966576 | + | 0.256379i | \(0.0825295\pi\) |
−0.261257 | + | 0.965269i | \(0.584137\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.32843 | + | 4.03295i | −0.164235 | + | 0.284463i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −22.6924 | − | 3.10538i | −1.59269 | − | 0.217955i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.41421 | + | 7.64564i | −0.308302 | + | 0.533995i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.17157 | − | 5.49333i | −0.220440 | − | 0.381813i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.41421 | −0.236166 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.58579 | −0.315699 | −0.157849 | − | 0.987463i | \(-0.550456\pi\) | ||||
−0.157849 | + | 0.987463i | \(0.550456\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.636039 | − | 1.10165i | −0.0435807 | − | 0.0754839i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −9.65685 | + | 16.7262i | −0.658592 | + | 1.14071i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.00000 | − | 9.79796i | −0.271538 | − | 0.665129i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.36396 | + | 2.36245i | −0.0921679 | + | 0.159640i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.00000 | + | 12.1244i | 0.470871 | + | 0.815572i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.4142 | −0.764352 | −0.382176 | − | 0.924089i | \(-0.624825\pi\) | ||||
−0.382176 | + | 0.924089i | \(0.624825\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −18.8284 | −1.25523 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −11.5858 | − | 20.0672i | −0.768976 | − | 1.33190i | −0.938119 | − | 0.346313i | \(-0.887433\pi\) |
0.169143 | − | 0.985591i | \(-0.445900\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.343146 | + | 0.594346i | −0.0226757 | + | 0.0392755i | −0.877141 | − | 0.480234i | \(-0.840552\pi\) |
0.854465 | + | 0.519509i | \(0.173885\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.671573 | + | 0.866025i | −0.0441863 | + | 0.0569803i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.707107 | − | 1.22474i | 0.0463241 | − | 0.0802357i | −0.841934 | − | 0.539581i | \(-0.818583\pi\) |
0.888258 | + | 0.459345i | \(0.151916\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.0711 | − | 19.1757i | −0.722197 | − | 1.25088i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.97056 | −0.128002 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 22.2132 | 1.43685 | 0.718426 | − | 0.695603i | \(-0.244863\pi\) | ||||
0.718426 | + | 0.695603i | \(0.244863\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.87868 | − | 3.25397i | −0.121016 | − | 0.209607i | 0.799152 | − | 0.601129i | \(-0.205282\pi\) |
−0.920169 | + | 0.391522i | \(0.871949\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5.17157 | − | 8.95743i | 0.331757 | − | 0.574619i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 17.0711 | − | 16.7262i | 1.09063 | − | 1.06860i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.12132 | + | 5.40629i | −0.198605 | + | 0.343994i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.34315 | − | 5.79050i | −0.211863 | − | 0.366958i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.14214 | −0.135210 | −0.0676052 | − | 0.997712i | \(-0.521536\pi\) | ||||
−0.0676052 | + | 0.997712i | \(0.521536\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.24264 | 0.140994 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 5.41421 | + | 9.37769i | 0.339051 | + | 0.587254i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1.57107 | + | 2.72117i | −0.0980005 | + | 0.169742i | −0.910857 | − | 0.412722i | \(-0.864578\pi\) |
0.812856 | + | 0.582464i | \(0.197911\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.6777 | − | 13.7694i | 0.663478 | − | 0.855587i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −12.2426 | + | 21.2049i | −0.757800 | + | 1.31255i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 15.5208 | + | 26.8828i | 0.957054 | + | 1.65767i | 0.729595 | + | 0.683879i | \(0.239709\pi\) |
0.227459 | + | 0.973788i | \(0.426958\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 40.6274 | 2.49572 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.85786 | 0.113699 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6.82843 | − | 11.8272i | −0.416337 | − | 0.721116i | 0.579231 | − | 0.815163i | \(-0.303353\pi\) |
−0.995568 | + | 0.0940473i | \(0.970020\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.2782 | + | 22.9985i | −0.806592 | + | 1.39706i | 0.108620 | + | 0.994083i | \(0.465357\pi\) |
−0.915211 | + | 0.402974i | \(0.867976\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.757359 | + | 1.85514i | 0.0458375 | + | 0.112278i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.32843 | − | 5.76500i | 0.200712 | − | 0.347643i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.91421 | + | 3.31552i | 0.115014 | + | 0.199210i | 0.917785 | − | 0.397077i | \(-0.129975\pi\) |
−0.802771 | + | 0.596287i | \(0.796642\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −11.3137 | −0.677334 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −16.7279 | −0.997904 | −0.498952 | − | 0.866630i | \(-0.666282\pi\) | ||||
−0.498952 | + | 0.866630i | \(0.666282\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.2929 | − | 17.8278i | −0.611849 | − | 1.05975i | −0.990929 | − | 0.134389i | \(-0.957093\pi\) |
0.379080 | − | 0.925364i | \(-0.376241\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.41421 | + | 4.18154i | −0.143006 | + | 0.247693i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −6.77817 | − | 0.927572i | −0.400103 | − | 0.0547528i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −20.8137 | + | 36.0504i | −1.22434 | + | 2.12061i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.378680 | + | 0.655892i | 0.0221986 | + | 0.0384491i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5.17157 | −0.302127 | −0.151063 | − | 0.988524i | \(-0.548270\pi\) | ||||
−0.151063 | + | 0.988524i | \(0.548270\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −28.7279 | −1.67260 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.20711 | + | 2.09077i | 0.0700434 | + | 0.121319i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.05025 | − | 3.55114i | 0.118569 | − | 0.205368i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −14.8284 | − | 2.02922i | −0.854696 | − | 0.116963i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.44975 | − | 4.24309i | 0.140734 | − | 0.243759i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.5355 | + | 18.2481i | 0.603263 | + | 1.04488i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.89949 | 0.564994 | 0.282497 | − | 0.959268i | \(-0.408837\pi\) | ||||
0.282497 | + | 0.959268i | \(0.408837\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.38478 | 0.249441 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4.36396 | − | 7.55860i | −0.247458 | − | 0.428609i | 0.715362 | − | 0.698754i | \(-0.246262\pi\) |
−0.962820 | + | 0.270145i | \(0.912928\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.67157 | − | 8.09140i | 0.264053 | − | 0.457353i | −0.703262 | − | 0.710931i | \(-0.748274\pi\) |
0.967315 | + | 0.253578i | \(0.0816073\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −9.65685 | − | 23.6544i | −0.544102 | − | 1.33277i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.6569 | + | 27.1185i | −0.879377 | + | 1.52312i | −0.0273502 | + | 0.999626i | \(0.508707\pi\) |
−0.852026 | + | 0.523499i | \(0.824626\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.32843 | − | 7.49706i | −0.242345 | − | 0.419755i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.58579 | 0.255954 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −26.1421 | −1.45459 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.08579 | − | 10.5409i | −0.337579 | − | 0.584703i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.100505 | + | 0.174080i | −0.00555794 | + | 0.00962664i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 10.5147 | − | 13.5592i | 0.579695 | − | 0.747545i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.96447 | + | 8.59871i | −0.272872 | + | 0.472628i | −0.969596 | − | 0.244711i | \(-0.921307\pi\) |
0.696724 | + | 0.717339i | \(0.254640\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −9.31371 | − | 16.1318i | −0.510388 | − | 0.884018i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 38.3848 | 2.09718 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.7574 | −1.07625 | −0.538126 | − | 0.842864i | \(-0.680868\pi\) | ||||
−0.538126 | + | 0.842864i | \(0.680868\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.86396 | − | 4.96053i | −0.155549 | − | 0.269419i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.00000 | − | 3.46410i | 0.108306 | − | 0.187592i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0000 | + | 7.34847i | 0.917914 | + | 0.396780i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.58579 | − | 2.74666i | 0.0853759 | − | 0.147875i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 7.29289 | + | 12.6317i | 0.391503 | + | 0.678103i | 0.992648 | − | 0.121037i | \(-0.0386219\pi\) |
−0.601145 | + | 0.799140i | \(0.705289\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.41421 | 0.235613 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.6569 | + | 21.9223i | 0.673656 | + | 1.16681i | 0.976860 | + | 0.213881i | \(0.0686105\pi\) |
−0.303203 | + | 0.952926i | \(0.598056\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.24264 | + | 9.08052i | −0.278250 | + | 0.481944i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −5.14214 | + | 6.63103i | −0.272151 | + | 0.350951i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.37868 | − | 9.31615i | 0.283876 | − | 0.491687i | −0.688460 | − | 0.725274i | \(-0.741713\pi\) |
0.972336 | + | 0.233587i | \(0.0750463\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.67157 | + | 6.35935i | 0.193241 | + | 0.334703i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.414214 | −0.0217406 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 22.4853 | 1.17693 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.36396 | + | 12.7548i | 0.384396 | + | 0.665793i | 0.991685 | − | 0.128688i | \(-0.0410765\pi\) |
−0.607290 | + | 0.794481i | \(0.707743\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.65685 | + | 6.33386i | −0.190368 | + | 0.329727i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 11.8995 | + | 29.1477i | 0.617791 | + | 1.51327i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.98528 | + | 12.0989i | −0.361684 | + | 0.626455i | −0.988238 | − | 0.152923i | \(-0.951131\pi\) |
0.626554 | + | 0.779378i | \(0.284465\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.17157 | − | 2.02922i | −0.0604998 | − | 0.104789i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −15.8284 | −0.815205 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.8701 | 1.32886 | 0.664428 | − | 0.747352i | \(-0.268675\pi\) | ||||
0.664428 | + | 0.747352i | \(0.268675\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.01472 | + | 3.48960i | 0.103217 | + | 0.178777i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 15.1924 | − | 26.3140i | 0.776295 | − | 1.34458i | −0.157769 | − | 0.987476i | \(-0.550430\pi\) |
0.934064 | − | 0.357106i | \(-0.116236\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8.94975 | + | 1.22474i | 0.456121 | + | 0.0624188i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −8.00000 | + | 13.8564i | −0.406663 | + | 0.704361i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.36396 | − | 2.36245i | −0.0691556 | − | 0.119781i | 0.829374 | − | 0.558693i | \(-0.188697\pi\) |
−0.898530 | + | 0.438912i | \(0.855364\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 17.1716 | 0.868404 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.41421 | −0.0713376 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 8.12132 | + | 14.0665i | 0.408628 | + | 0.707764i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.0000 | + | 19.0526i | −0.552074 | + | 0.956221i | 0.446051 | + | 0.895008i | \(0.352830\pi\) |
−0.998125 | + | 0.0612128i | \(0.980503\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.70711 | − | 0.507306i | −0.185587 | − | 0.0253971i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.15685 | − | 3.73578i | 0.107708 | − | 0.186556i | −0.807133 | − | 0.590369i | \(-0.798982\pi\) |
0.914841 | + | 0.403813i | \(0.132315\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.65685 | − | 6.33386i | −0.182161 | − | 0.315512i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −25.5563 | −1.26991 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.58579 | 0.326445 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.3640 | + | 19.6830i | 0.561912 | + | 0.973260i | 0.997330 | + | 0.0730312i | \(0.0232673\pi\) |
−0.435418 | + | 0.900228i | \(0.643399\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.10660 | + | 1.91669i | −0.0545846 | + | 0.0945434i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −8.41421 | − | 20.6105i | −0.414036 | − | 1.01418i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −27.5563 | + | 47.7290i | −1.35269 | + | 2.34292i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.14214 | −0.104650 | −0.0523251 | − | 0.998630i | \(-0.516663\pi\) | ||||
−0.0523251 | + | 0.998630i | \(0.516663\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.3137 | 1.13624 | 0.568120 | − | 0.822946i | \(-0.307671\pi\) | ||||
0.568120 | + | 0.822946i | \(0.307671\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −9.17157 | − | 15.8856i | −0.445937 | − | 0.772386i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 25.4853 | − | 44.1418i | 1.23622 | − | 2.14119i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.0061 | + | 12.9033i | −0.484229 | + | 0.624436i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.378680 | + | 0.655892i | −0.0182828 | + | 0.0316668i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −10.2071 | − | 17.6792i | −0.491659 | − | 0.851578i | 0.508295 | − | 0.861183i | \(-0.330276\pi\) |
−0.999954 | + | 0.00960469i | \(0.996943\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.14214 | −0.102944 | −0.0514722 | − | 0.998674i | \(-0.516391\pi\) | ||||
−0.0514722 | + | 0.998674i | \(0.516391\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −12.2426 | −0.586990 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.82843 | + | 6.63103i | 0.183139 | + | 0.317205i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.69239 | − | 8.12745i | 0.223955 | − | 0.387902i | −0.732050 | − | 0.681251i | \(-0.761436\pi\) |
0.956006 | + | 0.293349i | \(0.0947696\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.1421 | − | 13.8564i | 0.673435 | − | 0.659829i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −16.3137 | + | 28.2562i | −0.775088 | + | 1.34249i | 0.159658 | + | 0.987172i | \(0.448961\pi\) |
−0.934745 | + | 0.355319i | \(0.884372\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.65685 | − | 13.2621i | −0.362970 | − | 0.628682i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −2.62742 | −0.124273 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 33.6569 | 1.58837 | 0.794183 | − | 0.607679i | \(-0.207899\pi\) | ||||
0.794183 | + | 0.607679i | \(0.207899\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.29289 | − | 2.23936i | −0.0608800 | − | 0.105447i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.01472 | + | 3.48960i | −0.0946597 | + | 0.163955i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 10.1213 | − | 13.0519i | 0.474495 | − | 0.611884i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.171573 | − | 0.297173i | 0.00802584 | − | 0.0139012i | −0.861985 | − | 0.506934i | \(-0.830779\pi\) |
0.870010 | + | 0.493033i | \(0.164112\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 9.24264 | + | 16.0087i | 0.431410 | + | 0.747223i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 14.3137 | 0.666656 | 0.333328 | − | 0.942811i | \(-0.391828\pi\) | ||||
0.333328 | + | 0.942811i | \(0.391828\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.17157 | −0.333291 | −0.166646 | − | 0.986017i | \(-0.553294\pi\) | ||||
−0.166646 | + | 0.986017i | \(0.553294\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.82843 | − | 4.89898i | −0.131165 | − | 0.227185i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −17.0000 | + | 29.4449i | −0.786666 | + | 1.36255i | 0.141332 | + | 0.989962i | \(0.454861\pi\) |
−0.927999 | + | 0.372584i | \(0.878472\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.2426 | + | 27.5387i | 0.519137 | + | 1.27162i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.31371 | − | 2.27541i | 0.0605325 | − | 0.104845i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.82843 | − | 4.89898i | −0.130051 | − | 0.225255i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 22.7279 | 1.04283 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 33.6569 | 1.54104 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −13.0355 | − | 22.5782i | −0.595609 | − | 1.03162i | −0.993461 | − | 0.114175i | \(-0.963578\pi\) |
0.397852 | − | 0.917450i | \(-0.369756\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.02082 | − | 10.4284i | 0.274526 | − | 0.475492i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.43503 | + | 0.333226i | 0.110798 | + | 0.0151623i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 3.12132 | − | 5.40629i | 0.141732 | − | 0.245487i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.828427 | + | 1.43488i | 0.0375396 | + | 0.0650205i | 0.884185 | − | 0.467137i | \(-0.154715\pi\) |
−0.846645 | + | 0.532158i | \(0.821381\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −6.51472 | −0.294606 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −24.8284 | −1.12049 | −0.560246 | − | 0.828327i | \(-0.689293\pi\) | ||||
−0.560246 | + | 0.828327i | \(0.689293\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −33.1421 | − | 57.4039i | −1.49265 | − | 2.58534i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.82843 | − | 8.36308i | 0.217022 | − | 0.375893i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −8.05025 | − | 1.10165i | −0.361103 | − | 0.0494158i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.07107 | + | 5.31925i | −0.137480 | + | 0.238122i | −0.926542 | − | 0.376191i | \(-0.877234\pi\) |
0.789062 | + | 0.614313i | \(0.210567\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.42893 | + | 4.20703i | 0.108517 | + | 0.187956i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 38.2132 | 1.70384 | 0.851921 | − | 0.523670i | \(-0.175437\pi\) | ||||
0.851921 | + | 0.523670i | \(0.175437\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −40.3848 | −1.79710 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2.00000 | − | 3.46410i | −0.0888231 | − | 0.153846i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.65685 | − | 11.5300i | 0.295060 | − | 0.511059i | −0.679939 | − | 0.733269i | \(-0.737994\pi\) |
0.974999 | + | 0.222210i | \(0.0713271\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.58579 | + | 16.1318i | 0.291338 | + | 0.713630i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.12132 | + | 7.13834i | −0.181961 | + | 0.315165i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −18.0711 | − | 31.3000i | −0.796306 | − | 1.37924i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.48528 | 0.285222 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.72792 | 0.0758474 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.1421 | − | 24.4949i | −0.619578 | − | 1.07314i | −0.989563 | − | 0.144103i | \(-0.953970\pi\) |
0.369984 | − | 0.929038i | \(-0.379363\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.36396 | − | 11.0227i | 0.278277 | − | 0.481989i | −0.692680 | − | 0.721245i | \(-0.743570\pi\) |
0.970957 | + | 0.239256i | \(0.0769035\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.47056 | − | 5.76500i | 0.195111 | − | 0.251605i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 15.3137 | − | 26.5241i | 0.667076 | − | 1.15541i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.98528 | + | 15.5630i | 0.390664 | + | 0.676651i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −23.7990 | −1.03279 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.72792 | −0.204789 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −18.8995 | − | 32.7349i | −0.817096 | − | 1.41525i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.91421 | − | 6.77962i | 0.168911 | − | 0.292562i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.74264 | + | 6.77962i | 0.0750608 | + | 0.292019i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 20.5711 | − | 35.6301i | 0.884419 | − | 1.53186i | 0.0380415 | − | 0.999276i | \(-0.487888\pi\) |
0.846378 | − | 0.532583i | \(-0.178779\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.757359 | + | 1.31178i | 0.0325014 | + | 0.0562941i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.65685 | 0.0709718 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.8701 | 0.806825 | 0.403413 | − | 0.915018i | \(-0.367824\pi\) | ||||
0.403413 | + | 0.915018i | \(0.367824\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 8.72792 | + | 15.1172i | 0.372499 | + | 0.645187i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 14.7782 | − | 25.5965i | 0.629571 | − | 1.09045i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.71320 | + | 9.94655i | −0.327999 | + | 0.422970i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.65685 | − | 8.06591i | 0.197672 | − | 0.342379i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −12.2426 | − | 21.2049i | −0.518737 | − | 0.898479i | −0.999763 | − | 0.0217729i | \(-0.993069\pi\) |
0.481026 | − | 0.876707i | \(-0.340264\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.3431 | −0.437468 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.17157 | −0.133904 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.53553 | − | 4.39167i | −0.106860 | − | 0.185087i | 0.807637 | − | 0.589681i | \(-0.200746\pi\) |
−0.914497 | + | 0.404594i | \(0.867413\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −23.6066 | + | 40.8878i | −0.993137 | + | 1.72016i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −7.48528 | − | 18.3351i | −0.314352 | − | 0.770003i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.00000 | − | 3.46410i | 0.0838444 | − | 0.145223i | −0.821054 | − | 0.570851i | \(-0.806613\pi\) |
0.904898 | + | 0.425628i | \(0.139947\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.19239 | − | 8.99348i | −0.217295 | − | 0.376365i | 0.736685 | − | 0.676236i | \(-0.236390\pi\) |
−0.953980 | + | 0.299870i | \(0.903057\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −5.31371 | −0.221983 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −14.9289 | −0.622580 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.1569 | + | 27.9845i | 0.672619 | + | 1.16501i | 0.977159 | + | 0.212510i | \(0.0681639\pi\) |
−0.304540 | + | 0.952499i | \(0.598503\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.435029 | − | 0.753492i | 0.0180792 | − | 0.0313141i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −42.3137 | − | 5.79050i | −1.75547 | − | 0.240230i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.94975 | + | 10.3053i | −0.246413 | + | 0.426800i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −8.82843 | − | 15.2913i | −0.365011 | − | 0.632217i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 44.8995 | 1.85320 | 0.926600 | − | 0.376048i | \(-0.122717\pi\) | ||||
0.926600 | + | 0.376048i | \(0.122717\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.6569 | 0.562721 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.62132 | − | 6.27231i | −0.148961 | − | 0.258008i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 17.8492 | − | 30.9158i | 0.732981 | − | 1.26956i | −0.222623 | − | 0.974905i | \(-0.571462\pi\) |
0.955604 | − | 0.294655i | \(-0.0952047\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 68.5269 | + | 9.37769i | 2.80933 | + | 0.384448i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.12132 | + | 7.13834i | −0.168674 | + | 0.292153i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.31371 | − | 2.27541i | −0.0536767 | − | 0.0929707i | 0.837939 | − | 0.545765i | \(-0.183761\pi\) |
−0.891615 | + | 0.452794i | \(0.850427\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −35.9411 | −1.46607 | −0.733035 | − | 0.680191i | \(-0.761897\pi\) | ||||
−0.733035 | + | 0.680191i | \(0.761897\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 31.7990 | 1.29495 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.70711 | + | 2.95680i | 0.0694038 | + | 0.120211i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.51472 | + | 7.81972i | −0.183247 | + | 0.317393i | −0.942984 | − | 0.332837i | \(-0.891994\pi\) |
0.759738 | + | 0.650230i | \(0.225327\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −3.58579 | − | 8.78335i | −0.145303 | − | 0.355919i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.92893 | − | 10.2692i | 0.239859 | − | 0.415448i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.31371 | + | 14.3998i | 0.335788 | + | 0.581601i | 0.983636 | − | 0.180168i | \(-0.0576643\pi\) |
−0.647848 | + | 0.761769i | \(0.724331\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −3.65685 | −0.147459 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.02944 | −0.323253 | −0.161626 | − | 0.986852i | \(-0.551674\pi\) | ||||
−0.161626 | + | 0.986852i | \(0.551674\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.9706 | + | 39.7862i | 0.923265 | + | 1.59914i | 0.794328 | + | 0.607489i | \(0.207823\pi\) |
0.128937 | + | 0.991653i | \(0.458844\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.70711 | − | 4.68885i | 0.108632 | − | 0.188157i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 7.27208 | − | 9.37769i | 0.291350 | − | 0.375709i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.98528 | − | 12.0989i | 0.279411 | − | 0.483954i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.707107 | − | 1.22474i | −0.0282391 | − | 0.0489116i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 50.4264 | 2.01063 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −48.7279 | −1.93983 | −0.969914 | − | 0.243448i | \(-0.921722\pi\) | ||||
−0.969914 | + | 0.243448i | \(0.921722\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.949747 | − | 1.64501i | −0.0377491 | − | 0.0653833i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 16.6066 | − | 28.7635i | 0.659013 | − | 1.14144i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.3284 | + | 3.43861i | 0.488470 | + | 0.136243i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.34315 | + | 7.52255i | −0.171812 | + | 0.297587i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 20.6421 | + | 35.7532i | 0.815315 | + | 1.41217i | 0.909101 | + | 0.416575i | \(0.136770\pi\) |
−0.0937859 | + | 0.995592i | \(0.529897\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.41421 | −0.174080 | −0.0870398 | − | 0.996205i | \(-0.527741\pi\) | ||||
−0.0870398 | + | 0.996205i | \(0.527741\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.00000 | −0.315000 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −23.0919 | − | 39.9963i | −0.907836 | − | 1.57242i | −0.817065 | − | 0.576546i | \(-0.804400\pi\) |
−0.0907706 | − | 0.995872i | \(-0.528933\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.20711 | − | 7.28692i | 0.165143 | − | 0.286037i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.68629 | − | 3.46410i | 0.105284 | − | 0.135769i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −9.19239 | + | 15.9217i | −0.359726 | + | 0.623064i | −0.987915 | − | 0.154997i | \(-0.950463\pi\) |
0.628189 | + | 0.778061i | \(0.283796\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.82843 | + | 10.0951i | 0.227735 | + | 0.394449i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 18.6274 | 0.726725 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.0000 | 0.467454 | 0.233727 | − | 0.972302i | \(-0.424908\pi\) | ||||
0.233727 | + | 0.972302i | \(0.424908\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.48528 | + | 12.9649i | 0.291144 | + | 0.504276i | 0.974080 | − | 0.226202i | \(-0.0726309\pi\) |
−0.682937 | + | 0.730478i | \(0.739298\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.89949 | + | 5.02207i | −0.112607 | + | 0.195041i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 11.6569 | + | 28.5533i | 0.452033 | + | 1.10725i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.70711 | + | 16.8132i | −0.375861 | + | 0.651010i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.36396 | − | 4.09450i | −0.0913960 | − | 0.158303i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.17157 | −0.238251 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.5563 | −0.985125 | −0.492562 | − | 0.870277i | \(-0.663940\pi\) | ||||
−0.492562 | + | 0.870277i | \(0.663940\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −8.03553 | − | 13.9180i | −0.309288 | − | 0.535702i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.34315 | − | 10.9867i | 0.243787 | − | 0.422251i | −0.718003 | − | 0.696040i | \(-0.754944\pi\) |
0.961790 | + | 0.273789i | \(0.0882769\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.79289 | + | 0.655892i | 0.183934 | + | 0.0251708i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 4.79899 | − | 8.31209i | 0.183898 | − | 0.318520i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 8.20711 | + | 14.2151i | 0.314036 | + | 0.543927i | 0.979232 | − | 0.202742i | \(-0.0649853\pi\) |
−0.665196 | + | 0.746669i | \(0.731652\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 18.2426 | 0.697015 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.284271 | −0.0108456 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 10.8787 | + | 18.8424i | 0.414445 | + | 0.717839i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.96447 | − | 12.0628i | 0.264941 | − | 0.458891i | −0.702607 | − | 0.711578i | \(-0.747981\pi\) |
0.967548 | + | 0.252687i | \(0.0813143\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 7.41421 | + | 1.01461i | 0.281643 | + | 0.0385419i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.89949 | − | 17.1464i | −0.374970 | − | 0.649467i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.585786 | 0.0221565 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 36.1127 | 1.36396 | 0.681979 | − | 0.731372i | \(-0.261120\pi\) | ||||
0.681979 | + | 0.731372i | \(0.261120\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 11.2426 | + | 19.4728i | 0.424024 | + | 0.734432i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.58579 | − | 7.94282i | 0.172711 | − | 0.299144i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −11.8284 | − | 28.9736i | −0.444854 | − | 1.08966i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.0208 | + | 31.2130i | −0.676786 | + | 1.17223i | 0.299158 | + | 0.954204i | \(0.403294\pi\) |
−0.975943 | + | 0.218024i | \(0.930039\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.72792 | + | 11.6531i | 0.252317 | + | 0.437026i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −8.97056 | −0.335950 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.24264 | 0.233462 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 4.60051 | + | 7.96831i | 0.171809 | + | 0.297582i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.24264 | + | 16.0087i | −0.344692 | + | 0.597025i | −0.985298 | − | 0.170846i | \(-0.945350\pi\) |
0.640605 | + | 0.767870i | \(0.278683\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 17.1630 | − | 22.1324i | 0.639182 | − | 0.824255i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.778175 | − | 1.34784i | 0.0289406 | − | 0.0501266i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 28.8137 | + | 49.9068i | 1.07011 | + | 1.85349i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 48.4264 | 1.79604 | 0.898018 | − | 0.439959i | \(-0.145007\pi\) | ||||
0.898018 | + | 0.439959i | \(0.145007\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −18.1716 | −0.673021 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −21.6569 | − | 37.5108i | −0.801008 | − | 1.38739i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.50000 | − | 11.2583i | 0.240083 | − | 0.415836i | −0.720655 | − | 0.693294i | \(-0.756159\pi\) |
0.960738 | + | 0.277458i | \(0.0894920\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 9.53553 | + | 2.65962i | 0.351723 | + | 0.0981017i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −5.62132 | + | 9.73641i | −0.207064 | + | 0.358645i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 16.2132 | + | 28.0821i | 0.596412 | + | 1.03302i | 0.993346 | + | 0.115169i | \(0.0367410\pi\) |
−0.396934 | + | 0.917847i | \(0.629926\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.58579 | −0.0949912 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −9.31371 | −0.341687 | −0.170843 | − | 0.985298i | \(-0.554649\pi\) | ||||
−0.170843 | + | 0.985298i | \(0.554649\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.8284 | + | 18.7554i | 0.396723 | + | 0.687144i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −22.8284 | + | 39.5400i | −0.835248 | + | 1.44669i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 17.9497 | − | 23.1471i | 0.655869 | − | 0.845775i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.1716 | − | 29.7420i | 0.626600 | − | 1.08530i | −0.361630 | − | 0.932322i | \(-0.617780\pi\) |
0.988229 | − | 0.152980i | \(-0.0488872\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.443651 | − | 0.768426i | −0.0161675 | − | 0.0280030i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 33.2132 | 1.20875 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.6569 | 0.714441 | 0.357220 | − | 0.934020i | \(-0.383725\pi\) | ||||
0.357220 | + | 0.934020i | \(0.383725\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.464466 | + | 0.804479i | 0.0168591 | + | 0.0292007i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.48528 | − | 2.57258i | 0.0538414 | − | 0.0932561i | −0.837849 | − | 0.545903i | \(-0.816187\pi\) |
0.891690 | + | 0.452647i | \(0.149520\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.485281 | + | 1.18869i | 0.0175684 | + | 0.0430335i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 36.9706 | − | 64.0349i | 1.33667 | − | 2.31519i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −7.69239 | − | 13.3236i | −0.277756 | − | 0.481088i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.9706 | −0.395609 | −0.197804 | − | 0.980242i | \(-0.563381\pi\) | ||||
−0.197804 | + | 0.980242i | \(0.563381\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.30152 | −0.0468729 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −22.9706 | − | 39.7862i | −0.826194 | − | 1.43101i | −0.901004 | − | 0.433812i | \(-0.857168\pi\) |
0.0748099 | − | 0.997198i | \(-0.476165\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.3137 | + | 23.0600i | −0.478243 | + | 0.828340i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 7.15076 | + | 0.978559i | 0.256532 | + | 0.0351056i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.41421 | − | 7.64564i | 0.158156 | − | 0.273934i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.53553 | − | 2.65962i | −0.0549457 | − | 0.0951688i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −20.8995 | −0.746887 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −21.6569 | −0.772966 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8.77817 | − | 15.2042i | −0.312908 | − | 0.541973i | 0.666082 | − | 0.745878i | \(-0.267970\pi\) |
−0.978991 | + | 0.203905i | \(0.934637\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.42893 | + | 11.1352i | −0.228876 | + | 0.396425i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −36.2487 | − | 4.96053i | −1.28886 | − |