Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(67,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.h (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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.2 | ||
Root | \(1.68614 - 0.396143i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.79 |
Dual form | 882.2.h.n.67.2 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 1.68614 | + | 0.396143i | 0.973494 | + | 0.228714i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.37228 | 0.613703 | 0.306851 | − | 0.951757i | \(-0.400725\pi\) | ||||
0.306851 | + | 0.951757i | \(0.400725\pi\) | |||||||
\(6\) | 0.500000 | + | 1.65831i | 0.204124 | + | 0.677003i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.68614 | + | 1.33591i | 0.895380 | + | 0.445302i | ||||
\(10\) | 0.686141 | + | 1.18843i | 0.216977 | + | 0.375815i | ||||
\(11\) | 4.37228 | 1.31829 | 0.659146 | − | 0.752015i | \(-0.270918\pi\) | ||||
0.659146 | + | 0.752015i | \(0.270918\pi\) | |||||||
\(12\) | −1.18614 | + | 1.26217i | −0.342409 | + | 0.364357i | ||||
\(13\) | 1.00000 | + | 1.73205i | 0.277350 | + | 0.480384i | 0.970725 | − | 0.240192i | \(-0.0772105\pi\) |
−0.693375 | + | 0.720577i | \(0.743877\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.31386 | + | 0.543620i | 0.597436 | + | 0.140362i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.18614 | − | 3.78651i | −0.530217 | − | 0.918363i | −0.999379 | − | 0.0352504i | \(-0.988777\pi\) |
0.469162 | − | 0.883112i | \(-0.344556\pi\) | |||||||
\(18\) | 0.186141 | + | 2.99422i | 0.0438738 | + | 0.705744i | ||||
\(19\) | 2.50000 | − | 4.33013i | 0.573539 | − | 0.993399i | −0.422659 | − | 0.906289i | \(-0.638903\pi\) |
0.996199 | − | 0.0871106i | \(-0.0277634\pi\) | |||||||
\(20\) | −0.686141 | + | 1.18843i | −0.153426 | + | 0.265741i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.18614 | + | 3.78651i | 0.466087 | + | 0.807286i | ||||
\(23\) | −7.37228 | −1.53723 | −0.768613 | − | 0.639713i | \(-0.779053\pi\) | ||||
−0.768613 | + | 0.639713i | \(0.779053\pi\) | |||||||
\(24\) | −1.68614 | − | 0.396143i | −0.344182 | − | 0.0808625i | ||||
\(25\) | −3.11684 | −0.623369 | ||||||||
\(26\) | −1.00000 | + | 1.73205i | −0.196116 | + | 0.339683i | ||||
\(27\) | 4.00000 | + | 3.31662i | 0.769800 | + | 0.638285i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.37228 | + | 2.37686i | −0.254826 | + | 0.441372i | −0.964848 | − | 0.262807i | \(-0.915352\pi\) |
0.710022 | + | 0.704179i | \(0.248685\pi\) | |||||||
\(30\) | 0.686141 | + | 2.27567i | 0.125272 | + | 0.415479i | ||||
\(31\) | 1.00000 | − | 1.73205i | 0.179605 | − | 0.311086i | −0.762140 | − | 0.647412i | \(-0.775851\pi\) |
0.941745 | + | 0.336327i | \(0.109185\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 7.37228 | + | 1.73205i | 1.28335 | + | 0.301511i | ||||
\(34\) | 2.18614 | − | 3.78651i | 0.374920 | − | 0.649381i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.50000 | + | 1.65831i | −0.416667 | + | 0.276385i | ||||
\(37\) | −1.00000 | + | 1.73205i | −0.164399 | + | 0.284747i | −0.936442 | − | 0.350823i | \(-0.885902\pi\) |
0.772043 | + | 0.635571i | \(0.219235\pi\) | |||||||
\(38\) | 5.00000 | 0.811107 | ||||||||
\(39\) | 1.00000 | + | 3.31662i | 0.160128 | + | 0.531085i | ||||
\(40\) | −1.37228 | −0.216977 | ||||||||
\(41\) | 5.18614 | + | 8.98266i | 0.809939 | + | 1.40286i | 0.912906 | + | 0.408171i | \(0.133833\pi\) |
−0.102966 | + | 0.994685i | \(0.532833\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.55842 | + | 7.89542i | −0.695153 | + | 1.20404i | 0.274976 | + | 0.961451i | \(0.411330\pi\) |
−0.970129 | + | 0.242589i | \(0.922003\pi\) | |||||||
\(44\) | −2.18614 | + | 3.78651i | −0.329573 | + | 0.570837i | ||||
\(45\) | 3.68614 | + | 1.83324i | 0.549497 | + | 0.273283i | ||||
\(46\) | −3.68614 | − | 6.38458i | −0.543492 | − | 0.941355i | ||||
\(47\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(48\) | −0.500000 | − | 1.65831i | −0.0721688 | − | 0.239357i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.55842 | − | 2.69927i | −0.220394 | − | 0.381734i | ||||
\(51\) | −2.18614 | − | 7.25061i | −0.306121 | − | 1.01529i | ||||
\(52\) | −2.00000 | −0.277350 | ||||||||
\(53\) | −1.37228 | − | 2.37686i | −0.188497 | − | 0.326487i | 0.756252 | − | 0.654280i | \(-0.227028\pi\) |
−0.944749 | + | 0.327793i | \(0.893695\pi\) | |||||||
\(54\) | −0.872281 | + | 5.12241i | −0.118702 | + | 0.697072i | ||||
\(55\) | 6.00000 | 0.809040 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.93070 | − | 6.31084i | 0.785541 | − | 0.835892i | ||||
\(58\) | −2.74456 | −0.360379 | ||||||||
\(59\) | 3.55842 | − | 6.16337i | 0.463267 | − | 0.802402i | −0.535854 | − | 0.844310i | \(-0.680010\pi\) |
0.999121 | + | 0.0419083i | \(0.0133437\pi\) | |||||||
\(60\) | −1.62772 | + | 1.73205i | −0.210138 | + | 0.223607i | ||||
\(61\) | −7.05842 | − | 12.2255i | −0.903738 | − | 1.56532i | −0.822602 | − | 0.568618i | \(-0.807478\pi\) |
−0.0811364 | − | 0.996703i | \(-0.525855\pi\) | |||||||
\(62\) | 2.00000 | 0.254000 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 1.37228 | + | 2.37686i | 0.170211 | + | 0.294813i | ||||
\(66\) | 2.18614 | + | 7.25061i | 0.269095 | + | 0.892488i | ||||
\(67\) | −7.55842 | + | 13.0916i | −0.923408 | + | 1.59939i | −0.129307 | + | 0.991605i | \(0.541275\pi\) |
−0.794101 | + | 0.607785i | \(0.792058\pi\) | |||||||
\(68\) | 4.37228 | 0.530217 | ||||||||
\(69\) | −12.4307 | − | 2.92048i | −1.49648 | − | 0.351585i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.1168 | 1.20065 | 0.600324 | − | 0.799757i | \(-0.295038\pi\) | ||||
0.600324 | + | 0.799757i | \(0.295038\pi\) | |||||||
\(72\) | −2.68614 | − | 1.33591i | −0.316565 | − | 0.157438i | ||||
\(73\) | −2.55842 | − | 4.43132i | −0.299441 | − | 0.518646i | 0.676567 | − | 0.736381i | \(-0.263467\pi\) |
−0.976008 | + | 0.217734i | \(0.930133\pi\) | |||||||
\(74\) | −2.00000 | −0.232495 | ||||||||
\(75\) | −5.25544 | − | 1.23472i | −0.606846 | − | 0.142573i | ||||
\(76\) | 2.50000 | + | 4.33013i | 0.286770 | + | 0.496700i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.37228 | + | 2.52434i | −0.268608 | + | 0.285825i | ||||
\(79\) | −6.05842 | − | 10.4935i | −0.681626 | − | 1.18061i | −0.974485 | − | 0.224455i | \(-0.927940\pi\) |
0.292859 | − | 0.956156i | \(-0.405393\pi\) | |||||||
\(80\) | −0.686141 | − | 1.18843i | −0.0767129 | − | 0.132871i | ||||
\(81\) | 5.43070 | + | 7.17687i | 0.603411 | + | 0.797430i | ||||
\(82\) | −5.18614 | + | 8.98266i | −0.572713 | + | 0.991969i | ||||
\(83\) | −2.74456 | + | 4.75372i | −0.301255 | + | 0.521789i | −0.976420 | − | 0.215877i | \(-0.930739\pi\) |
0.675166 | + | 0.737666i | \(0.264072\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.00000 | − | 5.19615i | −0.325396 | − | 0.563602i | ||||
\(86\) | −9.11684 | −0.983095 | ||||||||
\(87\) | −3.25544 | + | 3.46410i | −0.349020 | + | 0.371391i | ||||
\(88\) | −4.37228 | −0.466087 | ||||||||
\(89\) | 1.62772 | − | 2.81929i | 0.172538 | − | 0.298844i | −0.766769 | − | 0.641924i | \(-0.778137\pi\) |
0.939306 | + | 0.343079i | \(0.111470\pi\) | |||||||
\(90\) | 0.255437 | + | 4.10891i | 0.0269255 | + | 0.433117i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 3.68614 | − | 6.38458i | 0.384307 | − | 0.665639i | ||||
\(93\) | 2.37228 | − | 2.52434i | 0.245994 | − | 0.261762i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.43070 | − | 5.94215i | 0.351983 | − | 0.609652i | ||||
\(96\) | 1.18614 | − | 1.26217i | 0.121060 | − | 0.128820i | ||||
\(97\) | 4.55842 | − | 7.89542i | 0.462838 | − | 0.801658i | −0.536263 | − | 0.844051i | \(-0.680165\pi\) |
0.999101 | + | 0.0423924i | \(0.0134980\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 11.7446 | + | 5.84096i | 1.18037 | + | 0.587039i | ||||
\(100\) | 1.55842 | − | 2.69927i | 0.155842 | − | 0.269927i | ||||
\(101\) | −7.37228 | −0.733569 | −0.366785 | − | 0.930306i | \(-0.619541\pi\) | ||||
−0.366785 | + | 0.930306i | \(0.619541\pi\) | |||||||
\(102\) | 5.18614 | − | 5.51856i | 0.513504 | − | 0.546419i | ||||
\(103\) | 10.0000 | 0.985329 | 0.492665 | − | 0.870219i | \(-0.336023\pi\) | ||||
0.492665 | + | 0.870219i | \(0.336023\pi\) | |||||||
\(104\) | −1.00000 | − | 1.73205i | −0.0980581 | − | 0.169842i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.37228 | − | 2.37686i | 0.133288 | − | 0.230861i | ||||
\(107\) | 0.813859 | − | 1.40965i | 0.0786788 | − | 0.136276i | −0.824001 | − | 0.566588i | \(-0.808263\pi\) |
0.902680 | + | 0.430312i | \(0.141597\pi\) | |||||||
\(108\) | −4.87228 | + | 1.80579i | −0.468835 | + | 0.173762i | ||||
\(109\) | −7.00000 | − | 12.1244i | −0.670478 | − | 1.16130i | −0.977769 | − | 0.209687i | \(-0.932756\pi\) |
0.307290 | − | 0.951616i | \(-0.400578\pi\) | |||||||
\(110\) | 3.00000 | + | 5.19615i | 0.286039 | + | 0.495434i | ||||
\(111\) | −2.37228 | + | 2.52434i | −0.225167 | + | 0.239600i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.686141 | − | 1.18843i | −0.0645467 | − | 0.111798i | 0.831946 | − | 0.554856i | \(-0.187227\pi\) |
−0.896493 | + | 0.443058i | \(0.853893\pi\) | |||||||
\(114\) | 8.43070 | + | 1.98072i | 0.789608 | + | 0.185511i | ||||
\(115\) | −10.1168 | −0.943401 | ||||||||
\(116\) | −1.37228 | − | 2.37686i | −0.127413 | − | 0.220686i | ||||
\(117\) | 0.372281 | + | 5.98844i | 0.0344174 | + | 0.553631i | ||||
\(118\) | 7.11684 | 0.655159 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −2.31386 | − | 0.543620i | −0.211225 | − | 0.0496255i | ||||
\(121\) | 8.11684 | 0.737895 | ||||||||
\(122\) | 7.05842 | − | 12.2255i | 0.639040 | − | 1.10685i | ||||
\(123\) | 5.18614 | + | 17.2005i | 0.467619 | + | 1.55092i | ||||
\(124\) | 1.00000 | + | 1.73205i | 0.0898027 | + | 0.155543i | ||||
\(125\) | −11.1386 | −0.996266 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.1168 | −1.25267 | −0.626334 | − | 0.779555i | \(-0.715445\pi\) | ||||
−0.626334 | + | 0.779555i | \(0.715445\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −10.8139 | + | 11.5070i | −0.952107 | + | 1.01313i | ||||
\(130\) | −1.37228 | + | 2.37686i | −0.120357 | + | 0.208464i | ||||
\(131\) | 7.37228 | 0.644119 | 0.322060 | − | 0.946719i | \(-0.395625\pi\) | ||||
0.322060 | + | 0.946719i | \(0.395625\pi\) | |||||||
\(132\) | −5.18614 | + | 5.51856i | −0.451396 | + | 0.480329i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −15.1168 | −1.30590 | ||||||||
\(135\) | 5.48913 | + | 4.55134i | 0.472429 | + | 0.391717i | ||||
\(136\) | 2.18614 | + | 3.78651i | 0.187460 | + | 0.324690i | ||||
\(137\) | 16.3723 | 1.39878 | 0.699389 | − | 0.714741i | \(-0.253455\pi\) | ||||
0.699389 | + | 0.714741i | \(0.253455\pi\) | |||||||
\(138\) | −3.68614 | − | 12.2255i | −0.313785 | − | 1.04071i | ||||
\(139\) | −10.6168 | − | 18.3889i | −0.900509 | − | 1.55973i | −0.826835 | − | 0.562445i | \(-0.809861\pi\) |
−0.0736742 | − | 0.997282i | \(-0.523472\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.05842 | + | 8.76144i | 0.424493 | + | 0.735244i | ||||
\(143\) | 4.37228 | + | 7.57301i | 0.365629 | + | 0.633287i | ||||
\(144\) | −0.186141 | − | 2.99422i | −0.0155117 | − | 0.249518i | ||||
\(145\) | −1.88316 | + | 3.26172i | −0.156388 | + | 0.270871i | ||||
\(146\) | 2.55842 | − | 4.43132i | 0.211737 | − | 0.366738i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.00000 | − | 1.73205i | −0.0821995 | − | 0.142374i | ||||
\(149\) | 14.7446 | 1.20792 | 0.603961 | − | 0.797014i | \(-0.293588\pi\) | ||||
0.603961 | + | 0.797014i | \(0.293588\pi\) | |||||||
\(150\) | −1.55842 | − | 5.16870i | −0.127245 | − | 0.422023i | ||||
\(151\) | −8.11684 | −0.660539 | −0.330270 | − | 0.943887i | \(-0.607140\pi\) | ||||
−0.330270 | + | 0.943887i | \(0.607140\pi\) | |||||||
\(152\) | −2.50000 | + | 4.33013i | −0.202777 | + | 0.351220i | ||||
\(153\) | −0.813859 | − | 13.0916i | −0.0657966 | − | 1.05839i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.37228 | − | 2.37686i | 0.110224 | − | 0.190914i | ||||
\(156\) | −3.37228 | − | 0.792287i | −0.269999 | − | 0.0634337i | ||||
\(157\) | −4.05842 | + | 7.02939i | −0.323897 | + | 0.561007i | −0.981289 | − | 0.192543i | \(-0.938327\pi\) |
0.657391 | + | 0.753549i | \(0.271660\pi\) | |||||||
\(158\) | 6.05842 | − | 10.4935i | 0.481982 | − | 0.834818i | ||||
\(159\) | −1.37228 | − | 4.55134i | −0.108829 | − | 0.360945i | ||||
\(160\) | 0.686141 | − | 1.18843i | 0.0542442 | − | 0.0939537i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −3.50000 | + | 8.29156i | −0.274986 | + | 0.651447i | ||||
\(163\) | −8.11684 | + | 14.0588i | −0.635760 | + | 1.10117i | 0.350593 | + | 0.936528i | \(0.385980\pi\) |
−0.986354 | + | 0.164641i | \(0.947353\pi\) | |||||||
\(164\) | −10.3723 | −0.809939 | ||||||||
\(165\) | 10.1168 | + | 2.37686i | 0.787595 | + | 0.185038i | ||||
\(166\) | −5.48913 | −0.426039 | ||||||||
\(167\) | 8.74456 | + | 15.1460i | 0.676675 | + | 1.17203i | 0.975976 | + | 0.217876i | \(0.0699129\pi\) |
−0.299302 | + | 0.954158i | \(0.596754\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.50000 | − | 7.79423i | 0.346154 | − | 0.599556i | ||||
\(170\) | 3.00000 | − | 5.19615i | 0.230089 | − | 0.398527i | ||||
\(171\) | 12.5000 | − | 8.29156i | 0.955899 | − | 0.634072i | ||||
\(172\) | −4.55842 | − | 7.89542i | −0.347576 | − | 0.602020i | ||||
\(173\) | −3.00000 | − | 5.19615i | −0.228086 | − | 0.395056i | 0.729155 | − | 0.684349i | \(-0.239913\pi\) |
−0.957241 | + | 0.289292i | \(0.906580\pi\) | |||||||
\(174\) | −4.62772 | − | 1.08724i | −0.350826 | − | 0.0824235i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.18614 | − | 3.78651i | −0.164787 | − | 0.285419i | ||||
\(177\) | 8.44158 | − | 8.98266i | 0.634508 | − | 0.675178i | ||||
\(178\) | 3.25544 | 0.244005 | ||||||||
\(179\) | −7.37228 | − | 12.7692i | −0.551030 | − | 0.954412i | −0.998201 | − | 0.0599635i | \(-0.980902\pi\) |
0.447170 | − | 0.894449i | \(-0.352432\pi\) | |||||||
\(180\) | −3.43070 | + | 2.27567i | −0.255710 | + | 0.169619i | ||||
\(181\) | −18.1168 | −1.34661 | −0.673307 | − | 0.739363i | \(-0.735127\pi\) | ||||
−0.673307 | + | 0.739363i | \(0.735127\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.05842 | − | 23.4101i | −0.521774 | − | 1.73053i | ||||
\(184\) | 7.37228 | 0.543492 | ||||||||
\(185\) | −1.37228 | + | 2.37686i | −0.100892 | + | 0.174750i | ||||
\(186\) | 3.37228 | + | 0.792287i | 0.247268 | + | 0.0580933i | ||||
\(187\) | −9.55842 | − | 16.5557i | −0.698981 | − | 1.21067i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.86141 | 0.497779 | ||||||||
\(191\) | 0.941578 | + | 1.63086i | 0.0681302 | + | 0.118005i | 0.898078 | − | 0.439836i | \(-0.144963\pi\) |
−0.829948 | + | 0.557841i | \(0.811630\pi\) | |||||||
\(192\) | 1.68614 | + | 0.396143i | 0.121687 | + | 0.0285892i | ||||
\(193\) | 3.50000 | − | 6.06218i | 0.251936 | − | 0.436365i | −0.712123 | − | 0.702055i | \(-0.752266\pi\) |
0.964059 | + | 0.265689i | \(0.0855996\pi\) | |||||||
\(194\) | 9.11684 | 0.654551 | ||||||||
\(195\) | 1.37228 | + | 4.55134i | 0.0982711 | + | 0.325928i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.00000 | −0.427482 | −0.213741 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(198\) | 0.813859 | + | 13.0916i | 0.0578385 | + | 0.930377i | ||||
\(199\) | −5.00000 | − | 8.66025i | −0.354441 | − | 0.613909i | 0.632581 | − | 0.774494i | \(-0.281995\pi\) |
−0.987022 | + | 0.160585i | \(0.948662\pi\) | |||||||
\(200\) | 3.11684 | 0.220394 | ||||||||
\(201\) | −17.9307 | + | 19.0800i | −1.26473 | + | 1.34580i | ||||
\(202\) | −3.68614 | − | 6.38458i | −0.259356 | − | 0.449218i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 7.37228 | + | 1.73205i | 0.516163 | + | 0.121268i | ||||
\(205\) | 7.11684 | + | 12.3267i | 0.497062 | + | 0.860937i | ||||
\(206\) | 5.00000 | + | 8.66025i | 0.348367 | + | 0.603388i | ||||
\(207\) | −19.8030 | − | 9.84868i | −1.37640 | − | 0.684531i | ||||
\(208\) | 1.00000 | − | 1.73205i | 0.0693375 | − | 0.120096i | ||||
\(209\) | 10.9307 | − | 18.9325i | 0.756093 | − | 1.30959i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.00000 | + | 13.8564i | 0.550743 | + | 0.953914i | 0.998221 | + | 0.0596196i | \(0.0189888\pi\) |
−0.447478 | + | 0.894295i | \(0.647678\pi\) | |||||||
\(212\) | 2.74456 | 0.188497 | ||||||||
\(213\) | 17.0584 | + | 4.00772i | 1.16882 | + | 0.274605i | ||||
\(214\) | 1.62772 | 0.111269 | ||||||||
\(215\) | −6.25544 | + | 10.8347i | −0.426617 | + | 0.738923i | ||||
\(216\) | −4.00000 | − | 3.31662i | −0.272166 | − | 0.225668i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 7.00000 | − | 12.1244i | 0.474100 | − | 0.821165i | ||||
\(219\) | −2.55842 | − | 8.48533i | −0.172882 | − | 0.573385i | ||||
\(220\) | −3.00000 | + | 5.19615i | −0.202260 | + | 0.350325i | ||||
\(221\) | 4.37228 | − | 7.57301i | 0.294111 | − | 0.509416i | ||||
\(222\) | −3.37228 | − | 0.792287i | −0.226333 | − | 0.0531748i | ||||
\(223\) | −2.00000 | + | 3.46410i | −0.133930 | + | 0.231973i | −0.925188 | − | 0.379509i | \(-0.876093\pi\) |
0.791258 | + | 0.611482i | \(0.209426\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.37228 | − | 4.16381i | −0.558152 | − | 0.277588i | ||||
\(226\) | 0.686141 | − | 1.18843i | 0.0456414 | − | 0.0790532i | ||||
\(227\) | 23.7446 | 1.57598 | 0.787991 | − | 0.615687i | \(-0.211121\pi\) | ||||
0.787991 | + | 0.615687i | \(0.211121\pi\) | |||||||
\(228\) | 2.50000 | + | 8.29156i | 0.165567 | + | 0.549122i | ||||
\(229\) | 20.1168 | 1.32936 | 0.664679 | − | 0.747129i | \(-0.268568\pi\) | ||||
0.664679 | + | 0.747129i | \(0.268568\pi\) | |||||||
\(230\) | −5.05842 | − | 8.76144i | −0.333542 | − | 0.577713i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.37228 | − | 2.37686i | 0.0900947 | − | 0.156049i | ||||
\(233\) | 5.87228 | − | 10.1711i | 0.384706 | − | 0.666330i | −0.607022 | − | 0.794685i | \(-0.707636\pi\) |
0.991728 | + | 0.128354i | \(0.0409695\pi\) | |||||||
\(234\) | −5.00000 | + | 3.31662i | −0.326860 | + | 0.216815i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.55842 | + | 6.16337i | 0.231634 | + | 0.401201i | ||||
\(237\) | −6.05842 | − | 20.0935i | −0.393537 | − | 1.30521i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.43070 | + | 16.3345i | 0.610021 | + | 1.05659i | 0.991236 | + | 0.132102i | \(0.0421725\pi\) |
−0.381215 | + | 0.924487i | \(0.624494\pi\) | |||||||
\(240\) | −0.686141 | − | 2.27567i | −0.0442902 | − | 0.146894i | ||||
\(241\) | −0.883156 | −0.0568891 | −0.0284445 | − | 0.999595i | \(-0.509055\pi\) | ||||
−0.0284445 | + | 0.999595i | \(0.509055\pi\) | |||||||
\(242\) | 4.05842 | + | 7.02939i | 0.260885 | + | 0.451867i | ||||
\(243\) | 6.31386 | + | 14.2525i | 0.405034 | + | 0.914302i | ||||
\(244\) | 14.1168 | 0.903738 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −12.3030 | + | 13.0916i | −0.784410 | + | 0.834688i | ||||
\(247\) | 10.0000 | 0.636285 | ||||||||
\(248\) | −1.00000 | + | 1.73205i | −0.0635001 | + | 0.109985i | ||||
\(249\) | −6.51087 | + | 6.92820i | −0.412610 | + | 0.439057i | ||||
\(250\) | −5.56930 | − | 9.64630i | −0.352233 | − | 0.610086i | ||||
\(251\) | 9.00000 | 0.568075 | 0.284037 | − | 0.958813i | \(-0.408326\pi\) | ||||
0.284037 | + | 0.958813i | \(0.408326\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −32.2337 | −2.02651 | ||||||||
\(254\) | −7.05842 | − | 12.2255i | −0.442885 | − | 0.767099i | ||||
\(255\) | −3.00000 | − | 9.94987i | −0.187867 | − | 0.623085i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −21.8614 | −1.36368 | −0.681839 | − | 0.731503i | \(-0.738819\pi\) | ||||
−0.681839 | + | 0.731503i | \(0.738819\pi\) | |||||||
\(258\) | −15.3723 | − | 3.61158i | −0.957036 | − | 0.224847i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −2.74456 | −0.170211 | ||||||||
\(261\) | −6.86141 | + | 4.55134i | −0.424710 | + | 0.281721i | ||||
\(262\) | 3.68614 | + | 6.38458i | 0.227731 | + | 0.394441i | ||||
\(263\) | 13.3723 | 0.824570 | 0.412285 | − | 0.911055i | \(-0.364731\pi\) | ||||
0.412285 | + | 0.911055i | \(0.364731\pi\) | |||||||
\(264\) | −7.37228 | − | 1.73205i | −0.453733 | − | 0.106600i | ||||
\(265\) | −1.88316 | − | 3.26172i | −0.115681 | − | 0.200366i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.86141 | − | 4.10891i | 0.236314 | − | 0.251461i | ||||
\(268\) | −7.55842 | − | 13.0916i | −0.461704 | − | 0.799695i | ||||
\(269\) | −3.68614 | − | 6.38458i | −0.224748 | − | 0.389275i | 0.731496 | − | 0.681846i | \(-0.238823\pi\) |
−0.956244 | + | 0.292571i | \(0.905489\pi\) | |||||||
\(270\) | −1.19702 | + | 7.02939i | −0.0728480 | + | 0.427795i | ||||
\(271\) | −9.11684 | + | 15.7908i | −0.553809 | + | 0.959225i | 0.444186 | + | 0.895934i | \(0.353493\pi\) |
−0.997995 | + | 0.0632906i | \(0.979841\pi\) | |||||||
\(272\) | −2.18614 | + | 3.78651i | −0.132554 | + | 0.229591i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.18614 | + | 14.1788i | 0.494543 | + | 0.856573i | ||||
\(275\) | −13.6277 | −0.821782 | ||||||||
\(276\) | 8.74456 | − | 9.30506i | 0.526361 | − | 0.560099i | ||||
\(277\) | 22.2337 | 1.33589 | 0.667946 | − | 0.744209i | \(-0.267174\pi\) | ||||
0.667946 | + | 0.744209i | \(0.267174\pi\) | |||||||
\(278\) | 10.6168 | − | 18.3889i | 0.636756 | − | 1.10289i | ||||
\(279\) | 5.00000 | − | 3.31662i | 0.299342 | − | 0.198561i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.31386 | + | 9.20387i | −0.316998 | + | 0.549057i | −0.979860 | − | 0.199685i | \(-0.936008\pi\) |
0.662862 | + | 0.748742i | \(0.269342\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.94158 | − | 8.55906i | 0.293746 | − | 0.508784i | −0.680946 | − | 0.732333i | \(-0.738431\pi\) |
0.974692 | + | 0.223550i | \(0.0717646\pi\) | |||||||
\(284\) | −5.05842 | + | 8.76144i | −0.300162 | + | 0.519896i | ||||
\(285\) | 8.13859 | − | 8.66025i | 0.482089 | − | 0.512989i | ||||
\(286\) | −4.37228 | + | 7.57301i | −0.258538 | + | 0.447802i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.50000 | − | 1.65831i | 0.147314 | − | 0.0977170i | ||||
\(289\) | −1.05842 | + | 1.83324i | −0.0622601 | + | 0.107838i | ||||
\(290\) | −3.76631 | −0.221165 | ||||||||
\(291\) | 10.8139 | − | 11.5070i | 0.633920 | − | 0.674552i | ||||
\(292\) | 5.11684 | 0.299441 | ||||||||
\(293\) | −2.31386 | − | 4.00772i | −0.135177 | − | 0.234134i | 0.790488 | − | 0.612478i | \(-0.209827\pi\) |
−0.925665 | + | 0.378344i | \(0.876494\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.88316 | − | 8.45787i | 0.284308 | − | 0.492436i | ||||
\(296\) | 1.00000 | − | 1.73205i | 0.0581238 | − | 0.100673i | ||||
\(297\) | 17.4891 | + | 14.5012i | 1.01482 | + | 0.841446i | ||||
\(298\) | 7.37228 | + | 12.7692i | 0.427065 | + | 0.739698i | ||||
\(299\) | −7.37228 | − | 12.7692i | −0.426350 | − | 0.738460i | ||||
\(300\) | 3.69702 | − | 3.93398i | 0.213447 | − | 0.227129i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −4.05842 | − | 7.02939i | −0.233536 | − | 0.404496i | ||||
\(303\) | −12.4307 | − | 2.92048i | −0.714125 | − | 0.167777i | ||||
\(304\) | −5.00000 | −0.286770 | ||||||||
\(305\) | −9.68614 | − | 16.7769i | −0.554627 | − | 0.960642i | ||||
\(306\) | 10.9307 | − | 7.25061i | 0.624867 | − | 0.414490i | ||||
\(307\) | 13.0000 | 0.741949 | 0.370975 | − | 0.928643i | \(-0.379024\pi\) | ||||
0.370975 | + | 0.928643i | \(0.379024\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.8614 | + | 3.96143i | 0.959212 | + | 0.225358i | ||||
\(310\) | 2.74456 | 0.155881 | ||||||||
\(311\) | −13.1168 | + | 22.7190i | −0.743788 | + | 1.28828i | 0.206971 | + | 0.978347i | \(0.433639\pi\) |
−0.950759 | + | 0.309931i | \(0.899694\pi\) | |||||||
\(312\) | −1.00000 | − | 3.31662i | −0.0566139 | − | 0.187767i | ||||
\(313\) | −1.44158 | − | 2.49689i | −0.0814828 | − | 0.141132i | 0.822404 | − | 0.568904i | \(-0.192632\pi\) |
−0.903887 | + | 0.427771i | \(0.859299\pi\) | |||||||
\(314\) | −8.11684 | −0.458060 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.1168 | 0.681626 | ||||||||
\(317\) | 3.00000 | + | 5.19615i | 0.168497 | + | 0.291845i | 0.937892 | − | 0.346929i | \(-0.112775\pi\) |
−0.769395 | + | 0.638774i | \(0.779442\pi\) | |||||||
\(318\) | 3.25544 | − | 3.46410i | 0.182556 | − | 0.194257i | ||||
\(319\) | −6.00000 | + | 10.3923i | −0.335936 | + | 0.581857i | ||||
\(320\) | 1.37228 | 0.0767129 | ||||||||
\(321\) | 1.93070 | − | 2.05446i | 0.107761 | − | 0.114669i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −21.8614 | −1.21640 | ||||||||
\(324\) | −8.93070 | + | 1.11469i | −0.496150 | + | 0.0619273i | ||||
\(325\) | −3.11684 | − | 5.39853i | −0.172891 | − | 0.299457i | ||||
\(326\) | −16.2337 | −0.899101 | ||||||||
\(327\) | −7.00000 | − | 23.2164i | −0.387101 | − | 1.28387i | ||||
\(328\) | −5.18614 | − | 8.98266i | −0.286357 | − | 0.495984i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.00000 | + | 9.94987i | 0.165145 | + | 0.547723i | ||||
\(331\) | 6.11684 | + | 10.5947i | 0.336212 | + | 0.582337i | 0.983717 | − | 0.179725i | \(-0.0575207\pi\) |
−0.647505 | + | 0.762061i | \(0.724187\pi\) | |||||||
\(332\) | −2.74456 | − | 4.75372i | −0.150627 | − | 0.260894i | ||||
\(333\) | −5.00000 | + | 3.31662i | −0.273998 | + | 0.181750i | ||||
\(334\) | −8.74456 | + | 15.1460i | −0.478481 | + | 0.828754i | ||||
\(335\) | −10.3723 | + | 17.9653i | −0.566698 | + | 0.981550i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.55842 | − | 7.89542i | −0.248313 | − | 0.430091i | 0.714745 | − | 0.699385i | \(-0.246543\pi\) |
−0.963058 | + | 0.269294i | \(0.913210\pi\) | |||||||
\(338\) | 9.00000 | 0.489535 | ||||||||
\(339\) | −0.686141 | − | 2.27567i | −0.0372660 | − | 0.123597i | ||||
\(340\) | 6.00000 | 0.325396 | ||||||||
\(341\) | 4.37228 | − | 7.57301i | 0.236772 | − | 0.410102i | ||||
\(342\) | 13.4307 | + | 6.67954i | 0.726249 | + | 0.361188i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 4.55842 | − | 7.89542i | 0.245774 | − | 0.425692i | ||||
\(345\) | −17.0584 | − | 4.00772i | −0.918395 | − | 0.215768i | ||||
\(346\) | 3.00000 | − | 5.19615i | 0.161281 | − | 0.279347i | ||||
\(347\) | −3.55842 | + | 6.16337i | −0.191026 | + | 0.330867i | −0.945591 | − | 0.325359i | \(-0.894515\pi\) |
0.754564 | + | 0.656226i | \(0.227848\pi\) | |||||||
\(348\) | −1.37228 | − | 4.55134i | −0.0735620 | − | 0.243978i | ||||
\(349\) | −11.0000 | + | 19.0526i | −0.588817 | + | 1.01986i | 0.405571 | + | 0.914063i | \(0.367073\pi\) |
−0.994388 | + | 0.105797i | \(0.966261\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.74456 | + | 10.2448i | −0.0931179 | + | 0.546828i | ||||
\(352\) | 2.18614 | − | 3.78651i | 0.116522 | − | 0.201821i | ||||
\(353\) | 7.62772 | 0.405983 | 0.202991 | − | 0.979181i | \(-0.434934\pi\) | ||||
0.202991 | + | 0.979181i | \(0.434934\pi\) | |||||||
\(354\) | 12.0000 | + | 2.81929i | 0.637793 | + | 0.149844i | ||||
\(355\) | 13.8832 | 0.736841 | ||||||||
\(356\) | 1.62772 | + | 2.81929i | 0.0862689 | + | 0.149422i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.37228 | − | 12.7692i | 0.389637 | − | 0.674871i | ||||
\(359\) | 3.43070 | − | 5.94215i | 0.181066 | − | 0.313615i | −0.761178 | − | 0.648543i | \(-0.775379\pi\) |
0.942244 | + | 0.334928i | \(0.108712\pi\) | |||||||
\(360\) | −3.68614 | − | 1.83324i | −0.194277 | − | 0.0966203i | ||||
\(361\) | −3.00000 | − | 5.19615i | −0.157895 | − | 0.273482i | ||||
\(362\) | −9.05842 | − | 15.6896i | −0.476100 | − | 0.824630i | ||||
\(363\) | 13.6861 | + | 3.21543i | 0.718336 | + | 0.168767i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.51087 | − | 6.08101i | −0.183768 | − | 0.318295i | ||||
\(366\) | 16.7446 | − | 17.8178i | 0.875252 | − | 0.931353i | ||||
\(367\) | −22.2337 | −1.16059 | −0.580295 | − | 0.814407i | \(-0.697063\pi\) | ||||
−0.580295 | + | 0.814407i | \(0.697063\pi\) | |||||||
\(368\) | 3.68614 | + | 6.38458i | 0.192153 | + | 0.332819i | ||||
\(369\) | 1.93070 | + | 31.0569i | 0.100508 | + | 1.61676i | ||||
\(370\) | −2.74456 | −0.142683 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 1.00000 | + | 3.31662i | 0.0518476 | + | 0.171959i | ||||
\(373\) | −10.0000 | −0.517780 | −0.258890 | − | 0.965907i | \(-0.583357\pi\) | ||||
−0.258890 | + | 0.965907i | \(0.583357\pi\) | |||||||
\(374\) | 9.55842 | − | 16.5557i | 0.494254 | − | 0.856073i | ||||
\(375\) | −18.7812 | − | 4.41248i | −0.969859 | − | 0.227860i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.48913 | −0.282704 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.11684 | 0.468301 | 0.234150 | − | 0.972200i | \(-0.424769\pi\) | ||||
0.234150 | + | 0.972200i | \(0.424769\pi\) | |||||||
\(380\) | 3.43070 | + | 5.94215i | 0.175991 | + | 0.304826i | ||||
\(381\) | −23.8030 | − | 5.59230i | −1.21946 | − | 0.286502i | ||||
\(382\) | −0.941578 | + | 1.63086i | −0.0481753 | + | 0.0834421i | ||||
\(383\) | 21.2554 | 1.08610 | 0.543051 | − | 0.839700i | \(-0.317269\pi\) | ||||
0.543051 | + | 0.839700i | \(0.317269\pi\) | |||||||
\(384\) | 0.500000 | + | 1.65831i | 0.0255155 | + | 0.0846254i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.00000 | 0.356291 | ||||||||
\(387\) | −22.7921 | + | 15.1186i | −1.15859 | + | 0.768520i | ||||
\(388\) | 4.55842 | + | 7.89542i | 0.231419 | + | 0.400829i | ||||
\(389\) | −34.9783 | −1.77347 | −0.886734 | − | 0.462280i | \(-0.847031\pi\) | ||||
−0.886734 | + | 0.462280i | \(0.847031\pi\) | |||||||
\(390\) | −3.25544 | + | 3.46410i | −0.164845 | + | 0.175412i | ||||
\(391\) | 16.1168 | + | 27.9152i | 0.815064 | + | 1.41173i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 12.4307 | + | 2.92048i | 0.627046 | + | 0.147319i | ||||
\(394\) | −3.00000 | − | 5.19615i | −0.151138 | − | 0.261778i | ||||
\(395\) | −8.31386 | − | 14.4000i | −0.418316 | − | 0.724544i | ||||
\(396\) | −10.9307 | + | 7.25061i | −0.549289 | + | 0.364357i | ||||
\(397\) | −11.0000 | + | 19.0526i | −0.552074 | + | 0.956221i | 0.446051 | + | 0.895008i | \(0.352830\pi\) |
−0.998125 | + | 0.0612128i | \(0.980503\pi\) | |||||||
\(398\) | 5.00000 | − | 8.66025i | 0.250627 | − | 0.434099i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.55842 | + | 2.69927i | 0.0779211 | + | 0.134963i | ||||
\(401\) | −0.255437 | −0.0127559 | −0.00637797 | − | 0.999980i | \(-0.502030\pi\) | ||||
−0.00637797 | + | 0.999980i | \(0.502030\pi\) | |||||||
\(402\) | −25.4891 | − | 5.98844i | −1.27128 | − | 0.298676i | ||||
\(403\) | 4.00000 | 0.199254 | ||||||||
\(404\) | 3.68614 | − | 6.38458i | 0.183392 | − | 0.317645i | ||||
\(405\) | 7.45245 | + | 9.84868i | 0.370315 | + | 0.489385i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.37228 | + | 7.57301i | −0.216726 | + | 0.375380i | ||||
\(408\) | 2.18614 | + | 7.25061i | 0.108230 | + | 0.358959i | ||||
\(409\) | 14.6753 | − | 25.4183i | 0.725645 | − | 1.25685i | −0.233063 | − | 0.972462i | \(-0.574875\pi\) |
0.958708 | − | 0.284393i | \(-0.0917919\pi\) | |||||||
\(410\) | −7.11684 | + | 12.3267i | −0.351476 | + | 0.608774i | ||||
\(411\) | 27.6060 | + | 6.48577i | 1.36170 | + | 0.319920i | ||||
\(412\) | −5.00000 | + | 8.66025i | −0.246332 | + | 0.426660i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −1.37228 | − | 22.0742i | −0.0674439 | − | 1.08489i | ||||
\(415\) | −3.76631 | + | 6.52344i | −0.184881 | + | 0.320223i | ||||
\(416\) | 2.00000 | 0.0980581 | ||||||||
\(417\) | −10.6168 | − | 35.2121i | −0.519909 | − | 1.72434i | ||||
\(418\) | 21.8614 | 1.06928 | ||||||||
\(419\) | 13.8030 | + | 23.9075i | 0.674320 | + | 1.16796i | 0.976667 | + | 0.214759i | \(0.0688964\pi\) |
−0.302347 | + | 0.953198i | \(0.597770\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.116844 | − | 0.202380i | 0.00569463 | − | 0.00986338i | −0.863164 | − | 0.504924i | \(-0.831521\pi\) |
0.868859 | + | 0.495060i | \(0.164854\pi\) | |||||||
\(422\) | −8.00000 | + | 13.8564i | −0.389434 | + | 0.674519i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.37228 | + | 2.37686i | 0.0666439 | + | 0.115431i | ||||
\(425\) | 6.81386 | + | 11.8020i | 0.330521 | + | 0.572479i | ||||
\(426\) | 5.05842 | + | 16.7769i | 0.245081 | + | 0.812843i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0.813859 | + | 1.40965i | 0.0393394 | + | 0.0681378i | ||||
\(429\) | 4.37228 | + | 14.5012i | 0.211096 | + | 0.700125i | ||||
\(430\) | −12.5109 | −0.603328 | ||||||||
\(431\) | 14.7446 | + | 25.5383i | 0.710221 | + | 1.23014i | 0.964774 | + | 0.263079i | \(0.0847381\pi\) |
−0.254554 | + | 0.967059i | \(0.581929\pi\) | |||||||
\(432\) | 0.872281 | − | 5.12241i | 0.0419677 | − | 0.246452i | ||||
\(433\) | 2.88316 | 0.138556 | 0.0692778 | − | 0.997597i | \(-0.477931\pi\) | ||||
0.0692778 | + | 0.997597i | \(0.477931\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.46738 | + | 4.75372i | −0.214194 | + | 0.227924i | ||||
\(436\) | 14.0000 | 0.670478 | ||||||||
\(437\) | −18.4307 | + | 31.9229i | −0.881660 | + | 1.52708i | ||||
\(438\) | 6.06930 | − | 6.45832i | 0.290002 | − | 0.308591i | ||||
\(439\) | 4.00000 | + | 6.92820i | 0.190910 | + | 0.330665i | 0.945552 | − | 0.325471i | \(-0.105523\pi\) |
−0.754642 | + | 0.656136i | \(0.772190\pi\) | |||||||
\(440\) | −6.00000 | −0.286039 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 8.74456 | 0.415936 | ||||||||
\(443\) | 11.4416 | + | 19.8174i | 0.543606 | + | 0.941553i | 0.998693 | + | 0.0511061i | \(0.0162747\pi\) |
−0.455087 | + | 0.890447i | \(0.650392\pi\) | |||||||
\(444\) | −1.00000 | − | 3.31662i | −0.0474579 | − | 0.157400i | ||||
\(445\) | 2.23369 | − | 3.86886i | 0.105887 | − | 0.183402i | ||||
\(446\) | −4.00000 | −0.189405 | ||||||||
\(447\) | 24.8614 | + | 5.84096i | 1.17590 | + | 0.276268i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 33.0000 | 1.55737 | 0.778683 | − | 0.627417i | \(-0.215888\pi\) | ||||
0.778683 | + | 0.627417i | \(0.215888\pi\) | |||||||
\(450\) | −0.580171 | − | 9.33252i | −0.0273495 | − | 0.439939i | ||||
\(451\) | 22.6753 | + | 39.2747i | 1.06774 | + | 1.84937i | ||||
\(452\) | 1.37228 | 0.0645467 | ||||||||
\(453\) | −13.6861 | − | 3.21543i | −0.643031 | − | 0.151074i | ||||
\(454\) | 11.8723 | + | 20.5634i | 0.557194 | + | 0.965088i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −5.93070 | + | 6.31084i | −0.277731 | + | 0.295532i | ||||
\(457\) | −16.7337 | − | 28.9836i | −0.782769 | − | 1.35580i | −0.930323 | − | 0.366742i | \(-0.880473\pi\) |
0.147554 | − | 0.989054i | \(-0.452860\pi\) | |||||||
\(458\) | 10.0584 | + | 17.4217i | 0.469999 | + | 0.814062i | ||||
\(459\) | 3.81386 | − | 22.3966i | 0.178016 | − | 1.04539i | ||||
\(460\) | 5.05842 | − | 8.76144i | 0.235850 | − | 0.408504i | ||||
\(461\) | 15.4307 | − | 26.7268i | 0.718680 | − | 1.24479i | −0.242844 | − | 0.970065i | \(-0.578080\pi\) |
0.961523 | − | 0.274724i | \(-0.0885865\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.94158 | + | 5.09496i | 0.136707 | + | 0.236783i | 0.926248 | − | 0.376914i | \(-0.123015\pi\) |
−0.789541 | + | 0.613697i | \(0.789682\pi\) | |||||||
\(464\) | 2.74456 | 0.127413 | ||||||||
\(465\) | 3.25544 | − | 3.46410i | 0.150967 | − | 0.160644i | ||||
\(466\) | 11.7446 | 0.544056 | ||||||||
\(467\) | −15.0475 | + | 26.0631i | −0.696317 | + | 1.20606i | 0.273417 | + | 0.961896i | \(0.411846\pi\) |
−0.969735 | + | 0.244162i | \(0.921487\pi\) | |||||||
\(468\) | −5.37228 | − | 2.67181i | −0.248334 | − | 0.123505i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.62772 | + | 10.2448i | −0.443622 | + | 0.472057i | ||||
\(472\) | −3.55842 | + | 6.16337i | −0.163790 | + | 0.283692i | ||||
\(473\) | −19.9307 | + | 34.5210i | −0.916415 | + | 1.58728i | ||||
\(474\) | 14.3723 | − | 15.2935i | 0.660141 | − | 0.702454i | ||||
\(475\) | −7.79211 | + | 13.4963i | −0.357527 | + | 0.619254i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.510875 | − | 8.21782i | −0.0233913 | − | 0.376268i | ||||
\(478\) | −9.43070 | + | 16.3345i | −0.431350 | + | 0.747121i | ||||
\(479\) | −21.2554 | −0.971186 | −0.485593 | − | 0.874185i | \(-0.661396\pi\) | ||||
−0.485593 | + | 0.874185i | \(0.661396\pi\) | |||||||
\(480\) | 1.62772 | − | 1.73205i | 0.0742949 | − | 0.0790569i | ||||
\(481\) | −4.00000 | −0.182384 | ||||||||
\(482\) | −0.441578 | − | 0.764836i | −0.0201133 | − | 0.0348373i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.05842 | + | 7.02939i | −0.184474 | + | 0.319518i | ||||
\(485\) | 6.25544 | − | 10.8347i | 0.284045 | − | 0.491980i | ||||
\(486\) | −9.18614 | + | 12.5942i | −0.416692 | + | 0.571286i | ||||
\(487\) | 8.17527 | + | 14.1600i | 0.370457 | + | 0.641650i | 0.989636 | − | 0.143600i | \(-0.0458679\pi\) |
−0.619179 | + | 0.785250i | \(0.712535\pi\) | |||||||
\(488\) | 7.05842 | + | 12.2255i | 0.319520 | + | 0.553424i | ||||
\(489\) | −19.2554 | + | 20.4897i | −0.870761 | + | 0.926574i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.81386 | + | 16.9981i | 0.442893 | + | 0.767114i | 0.997903 | − | 0.0647303i | \(-0.0206187\pi\) |
−0.555010 | + | 0.831844i | \(0.687285\pi\) | |||||||
\(492\) | −17.4891 | − | 4.10891i | −0.788471 | − | 0.185244i | ||||
\(493\) | 12.0000 | 0.540453 | ||||||||
\(494\) | 5.00000 | + | 8.66025i | 0.224961 | + | 0.389643i | ||||
\(495\) | 16.1168 | + | 8.01544i | 0.724398 | + | 0.360267i | ||||
\(496\) | −2.00000 | −0.0898027 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −9.25544 | − | 2.17448i | −0.414746 | − | 0.0974408i | ||||
\(499\) | 0.883156 | 0.0395355 | 0.0197677 | − | 0.999805i | \(-0.493707\pi\) | ||||
0.0197677 | + | 0.999805i | \(0.493707\pi\) | |||||||
\(500\) | 5.56930 | − | 9.64630i | 0.249067 | − | 0.431396i | ||||
\(501\) | 8.74456 | + | 29.0024i | 0.390678 | + | 1.29573i | ||||
\(502\) | 4.50000 | + | 7.79423i | 0.200845 | + | 0.347873i | ||||
\(503\) | −2.23369 | −0.0995952 | −0.0497976 | − | 0.998759i | \(-0.515858\pi\) | ||||
−0.0497976 | + | 0.998759i | \(0.515858\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.1168 | −0.450194 | ||||||||
\(506\) | −16.1168 | − | 27.9152i | −0.716481 | − | 1.24098i | ||||
\(507\) | 10.6753 | − | 11.3595i | 0.474105 | − | 0.504494i | ||||
\(508\) | 7.05842 | − | 12.2255i | 0.313167 | − | 0.542421i | ||||
\(509\) | −16.9783 | −0.752548 | −0.376274 | − | 0.926508i | \(-0.622795\pi\) | ||||
−0.376274 | + | 0.926508i | \(0.622795\pi\) | |||||||
\(510\) | 7.11684 | − | 7.57301i | 0.315139 | − | 0.335339i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 24.3614 | − | 9.02895i | 1.07558 | − | 0.398638i | ||||
\(514\) | −10.9307 | − | 18.9325i | −0.482133 | − | 0.835078i | ||||
\(515\) | 13.7228 | 0.604699 | ||||||||
\(516\) | −4.55842 | − | 15.1186i | −0.200673 | − | 0.665558i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.00000 | − | 9.94987i | −0.131685 | − | 0.436751i | ||||
\(520\) | −1.37228 | − | 2.37686i | −0.0601785 | − | 0.104232i | ||||
\(521\) | 1.93070 | + | 3.34408i | 0.0845856 | + | 0.146507i | 0.905215 | − | 0.424955i | \(-0.139710\pi\) |
−0.820629 | + | 0.571461i | \(0.806377\pi\) | |||||||
\(522\) | −7.37228 | − | 3.66648i | −0.322676 | − | 0.160478i | ||||
\(523\) | −8.94158 | + | 15.4873i | −0.390988 | + | 0.677211i | −0.992580 | − | 0.121592i | \(-0.961200\pi\) |
0.601592 | + | 0.798803i | \(0.294533\pi\) | |||||||
\(524\) | −3.68614 | + | 6.38458i | −0.161030 | + | 0.278912i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.68614 | + | 11.5807i | 0.291530 | + | 0.504944i | ||||
\(527\) | −8.74456 | −0.380919 | ||||||||
\(528\) | −2.18614 | − | 7.25061i | −0.0951396 | − | 0.315542i | ||||
\(529\) | 31.3505 | 1.36307 | ||||||||
\(530\) | 1.88316 | − | 3.26172i | 0.0817991 | − | 0.141680i | ||||
\(531\) | 17.7921 | − | 11.8020i | 0.772112 | − | 0.512161i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −10.3723 | + | 17.9653i | −0.449273 | + | 0.778164i | ||||
\(534\) | 5.48913 | + | 1.28962i | 0.237538 | + | 0.0558073i | ||||
\(535\) | 1.11684 | − | 1.93443i | 0.0482854 | − | 0.0836327i | ||||
\(536\) | 7.55842 | − | 13.0916i | 0.326474 | − | 0.565470i | ||||
\(537\) | −7.37228 | − | 24.4511i | −0.318137 | − | 1.05514i | ||||
\(538\) | 3.68614 | − | 6.38458i | 0.158921 | − | 0.275259i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −6.68614 | + | 2.47805i | −0.287726 | + | 0.106638i | ||||
\(541\) | −14.1168 | + | 24.4511i | −0.606931 | + | 1.05123i | 0.384813 | + | 0.922995i | \(0.374266\pi\) |
−0.991743 | + | 0.128240i | \(0.959067\pi\) | |||||||
\(542\) | −18.2337 | −0.783204 | ||||||||
\(543\) | −30.5475 | − | 7.17687i | −1.31092 | − | 0.307989i | ||||
\(544\) | −4.37228 | −0.187460 | ||||||||
\(545\) | −9.60597 | − | 16.6380i | −0.411475 | − | 0.712695i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.441578 | + | 0.764836i | −0.0188805 | + | 0.0327020i | −0.875311 | − | 0.483560i | \(-0.839344\pi\) |
0.856431 | + | 0.516262i | \(0.172677\pi\) | |||||||
\(548\) | −8.18614 | + | 14.1788i | −0.349695 | + | 0.605689i | ||||
\(549\) | −2.62772 | − | 42.2689i | −0.112148 | − | 1.80399i | ||||
\(550\) | −6.81386 | − | 11.8020i | −0.290544 | − | 0.503237i | ||||
\(551\) | 6.86141 | + | 11.8843i | 0.292306 | + | 0.506288i | ||||
\(552\) | 12.4307 | + | 2.92048i | 0.529086 | + | 0.124304i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 11.1168 | + | 19.2549i | 0.472309 | + | 0.818064i | ||||
\(555\) | −3.25544 | + | 3.46410i | −0.138186 | + | 0.147043i | ||||
\(556\) | 21.2337 | 0.900509 | ||||||||
\(557\) | −3.25544 | − | 5.63858i | −0.137937 | − | 0.238914i | 0.788778 | − | 0.614678i | \(-0.210714\pi\) |
−0.926716 | + | 0.375763i | \(0.877381\pi\) | |||||||
\(558\) | 5.37228 | + | 2.67181i | 0.227427 | + | 0.113107i | ||||
\(559\) | −18.2337 | −0.771203 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.55842 | − | 31.7017i | −0.403557 | − | 1.33845i | ||||
\(562\) | −10.6277 | −0.448303 | ||||||||
\(563\) | 1.50000 | − | 2.59808i | 0.0632175 | − | 0.109496i | −0.832684 | − | 0.553748i | \(-0.813197\pi\) |
0.895902 | + | 0.444252i | \(0.146530\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.941578 | − | 1.63086i | −0.0396125 | − | 0.0686108i | ||||
\(566\) | 9.88316 | 0.415420 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.1168 | −0.424493 | ||||||||
\(569\) | 0.558422 | + | 0.967215i | 0.0234103 | + | 0.0405478i | 0.877493 | − | 0.479589i | \(-0.159214\pi\) |
−0.854083 | + | 0.520137i | \(0.825881\pi\) | |||||||
\(570\) | 11.5693 | + | 2.71810i | 0.484585 | + | 0.113849i | ||||
\(571\) | −14.6753 | + | 25.4183i | −0.614141 | + | 1.06372i | 0.376394 | + | 0.926460i | \(0.377164\pi\) |
−0.990535 | + | 0.137263i | \(0.956169\pi\) | |||||||
\(572\) | −8.74456 | −0.365629 | ||||||||
\(573\) | 0.941578 | + | 3.12286i | 0.0393350 | + | 0.130459i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 22.9783 | 0.958259 | ||||||||
\(576\) | 2.68614 | + | 1.33591i | 0.111923 | + | 0.0556628i | ||||
\(577\) | 13.5584 | + | 23.4839i | 0.564444 | + | 0.977647i | 0.997101 | + | 0.0760878i | \(0.0242429\pi\) |
−0.432657 | + | 0.901559i | \(0.642424\pi\) | |||||||
\(578\) | −2.11684 | −0.0880491 | ||||||||
\(579\) | 8.30298 | − | 8.83518i | 0.345060 | − | 0.367178i | ||||
\(580\) | −1.88316 | − | 3.26172i | −0.0781938 | − | 0.135436i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 15.3723 | + | 3.61158i | 0.637202 | + | 0.149705i | ||||
\(583\) | −6.00000 | − | 10.3923i | −0.248495 | − | 0.430405i | ||||
\(584\) | 2.55842 | + | 4.43132i | 0.105868 | + | 0.183369i | ||||
\(585\) | 0.510875 | + | 8.21782i | 0.0211221 | + | 0.339765i | ||||
\(586\) | 2.31386 | − | 4.00772i | 0.0955846 | − | 0.165557i | ||||
\(587\) | −4.24456 | + | 7.35180i | −0.175192 | + | 0.303441i | −0.940228 | − | 0.340547i | \(-0.889388\pi\) |
0.765036 | + | 0.643988i | \(0.222721\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.00000 | − | 8.66025i | −0.206021 | − | 0.356840i | ||||
\(590\) | 9.76631 | 0.402073 | ||||||||
\(591\) | −10.1168 | − | 2.37686i | −0.416151 | − | 0.0977710i | ||||
\(592\) | 2.00000 | 0.0821995 | ||||||||
\(593\) | 1.62772 | − | 2.81929i | 0.0668424 | − | 0.115774i | −0.830667 | − | 0.556769i | \(-0.812041\pi\) |
0.897510 | + | 0.440995i | \(0.145374\pi\) | |||||||
\(594\) | −3.81386 | + | 22.3966i | −0.156485 | + | 0.918945i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −7.37228 | + | 12.7692i | −0.301980 | + | 0.523045i | ||||
\(597\) | −5.00000 | − | 16.5831i | −0.204636 | − | 0.678702i | ||||
\(598\) | 7.37228 | − | 12.7692i | 0.301475 | − | 0.522170i | ||||
\(599\) | −12.0000 | + | 20.7846i | −0.490307 | + | 0.849236i | −0.999938 | − | 0.0111569i | \(-0.996449\pi\) |
0.509631 | + | 0.860393i | \(0.329782\pi\) | |||||||
\(600\) | 5.25544 | + | 1.23472i | 0.214552 | + | 0.0504071i | ||||
\(601\) | 3.44158 | − | 5.96099i | 0.140385 | − | 0.243154i | −0.787257 | − | 0.616625i | \(-0.788499\pi\) |
0.927642 | + | 0.373472i | \(0.121833\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −37.7921 | + | 25.0684i | −1.53901 | + | 1.02087i | ||||
\(604\) | 4.05842 | − | 7.02939i | 0.165135 | − | 0.286022i | ||||
\(605\) | 11.1386 | 0.452848 | ||||||||
\(606\) | −3.68614 | − | 12.2255i | −0.149739 | − | 0.496629i | ||||
\(607\) | 12.2337 | 0.496550 | 0.248275 | − | 0.968690i | \(-0.420136\pi\) | ||||
0.248275 | + | 0.968690i | \(0.420136\pi\) | |||||||
\(608\) | −2.50000 | − | 4.33013i | −0.101388 | − | 0.175610i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.68614 | − | 16.7769i | 0.392180 | − | 0.679276i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 11.7446 | + | 5.84096i | 0.474746 | + | 0.236107i | ||||
\(613\) | 0.883156 | + | 1.52967i | 0.0356703 | + | 0.0617828i | 0.883309 | − | 0.468790i | \(-0.155310\pi\) |
−0.847639 | + | 0.530573i | \(0.821977\pi\) | |||||||
\(614\) | 6.50000 | + | 11.2583i | 0.262319 | + | 0.454349i | ||||
\(615\) | 7.11684 | + | 23.6039i | 0.286979 | + | 0.951801i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 4.93070 | + | 8.54023i | 0.198503 | + | 0.343817i | 0.948043 | − | 0.318142i | \(-0.103059\pi\) |
−0.749540 | + | 0.661959i | \(0.769725\pi\) | |||||||
\(618\) | 5.00000 | + | 16.5831i | 0.201129 | + | 0.667071i | ||||
\(619\) | 23.4674 | 0.943233 | 0.471617 | − | 0.881804i | \(-0.343671\pi\) | ||||
0.471617 | + | 0.881804i | \(0.343671\pi\) | |||||||
\(620\) | 1.37228 | + | 2.37686i | 0.0551121 | + | 0.0954570i | ||||
\(621\) | −29.4891 | − | 24.4511i | −1.18336 | − | 0.981188i | ||||
\(622\) | −26.2337 | −1.05188 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 2.37228 | − | 2.52434i | 0.0949673 | − | 0.101054i | ||||
\(625\) | 0.298936 | 0.0119574 | ||||||||
\(626\) | 1.44158 | − | 2.49689i | 0.0576170 | − | 0.0997956i | ||||
\(627\) | 25.9307 | − | 27.5928i | 1.03557 | − | 1.10195i | ||||
\(628\) | −4.05842 | − | 7.02939i | −0.161949 | − | 0.280503i | ||||
\(629\) | 8.74456 | 0.348669 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.3505 | 0.571286 | 0.285643 | − | 0.958336i | \(-0.407793\pi\) | ||||
0.285643 | + | 0.958336i | \(0.407793\pi\) | |||||||
\(632\) | 6.05842 | + | 10.4935i | 0.240991 | + | 0.417409i | ||||
\(633\) | 8.00000 | + | 26.5330i | 0.317971 | + | 1.05459i | ||||
\(634\) | −3.00000 | + | 5.19615i | −0.119145 | + | 0.206366i | ||||
\(635\) | −19.3723 | −0.768766 | ||||||||
\(636\) | 4.62772 | + | 1.08724i | 0.183501 | + | 0.0431119i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −12.0000 | −0.475085 | ||||||||
\(639\) | 27.1753 | + | 13.5152i | 1.07504 | + | 0.534652i | ||||
\(640\) | 0.686141 | + | 1.18843i | 0.0271221 | + | 0.0469768i | ||||
\(641\) | −46.2119 | −1.82526 | −0.912631 | − | 0.408785i | \(-0.865953\pi\) | ||||
−0.912631 | + | 0.408785i | \(0.865953\pi\) | |||||||
\(642\) | 2.74456 | + | 0.644810i | 0.108319 | + | 0.0254486i | ||||
\(643\) | −12.6753 | − | 21.9542i | −0.499864 | − | 0.865789i | 0.500136 | − | 0.865947i | \(-0.333283\pi\) |
−1.00000 | 0.000157386i | \(0.999950\pi\) | ||||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −14.8397 | + | 15.7908i | −0.584311 | + | 0.621764i | ||||
\(646\) | −10.9307 | − | 18.9325i | −0.430063 | − | 0.744891i | ||||
\(647\) | −8.74456 | − | 15.1460i | −0.343784 | − | 0.595452i | 0.641348 | − | 0.767250i | \(-0.278376\pi\) |
−0.985132 | + | 0.171798i | \(0.945042\pi\) | |||||||
\(648\) | −5.43070 | − | 7.17687i | −0.213338 | − | 0.281934i | ||||
\(649\) | 15.5584 | − | 26.9480i | 0.610721 | − | 1.05780i | ||||
\(650\) | 3.11684 | − | 5.39853i | 0.122253 | − | 0.211748i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.11684 | − | 14.0588i | −0.317880 | − | 0.550585i | ||||
\(653\) | −15.2554 | −0.596991 | −0.298496 | − | 0.954411i | \(-0.596485\pi\) | ||||
−0.298496 | + | 0.954411i | \(0.596485\pi\) | |||||||
\(654\) | 16.6060 | − | 17.6704i | 0.649345 | − | 0.690966i | ||||
\(655\) | 10.1168 | 0.395298 | ||||||||
\(656\) | 5.18614 | − | 8.98266i | 0.202485 | − | 0.350714i | ||||
\(657\) | −0.952453 | − | 15.3210i | −0.0371587 | − | 0.597727i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.62772 | − | 8.01544i | 0.180270 | − | 0.312237i | −0.761702 | − | 0.647927i | \(-0.775636\pi\) |
0.941973 | + | 0.335690i | \(0.108969\pi\) | |||||||
\(660\) | −7.11684 | + | 7.57301i | −0.277023 | + | 0.294779i | ||||
\(661\) | 4.94158 | − | 8.55906i | 0.192205 | − | 0.332909i | −0.753776 | − | 0.657132i | \(-0.771769\pi\) |
0.945981 | + | 0.324223i | \(0.105103\pi\) | |||||||
\(662\) | −6.11684 | + | 10.5947i | −0.237738 | + | 0.411774i | ||||
\(663\) | 10.3723 | − | 11.0371i | 0.402826 | − | 0.428646i | ||||
\(664\) | 2.74456 | − | 4.75372i | 0.106510 | − | 0.184480i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.37228 | − | 2.67181i | −0.208172 | − | 0.103531i | ||||
\(667\) | 10.1168 | − | 17.5229i | 0.391726 | − | 0.678489i | ||||
\(668\) | −17.4891 | −0.676675 | ||||||||
\(669\) | −4.74456 | + | 5.04868i | −0.183435 | + | 0.195193i | ||||
\(670\) | −20.7446 | −0.801432 | ||||||||
\(671\) | −30.8614 | − | 53.4535i | −1.19139 | − | 2.06355i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.0584 | − | 17.4217i | 0.387724 | − | 0.671557i | −0.604419 | − | 0.796666i | \(-0.706595\pi\) |
0.992143 | + | 0.125109i | \(0.0399281\pi\) | |||||||
\(674\) | 4.55842 | − | 7.89542i | 0.175584 | − | 0.304120i | ||||
\(675\) | −12.4674 | − | 10.3374i | −0.479870 | − | 0.397887i | ||||
\(676\) | 4.50000 | + | 7.79423i | 0.173077 | + | 0.299778i | ||||
\(677\) | −17.2337 | − | 29.8496i | −0.662344 | − | 1.14721i | −0.979998 | − | 0.199007i | \(-0.936228\pi\) |
0.317654 | − | 0.948207i | \(-0.397105\pi\) | |||||||
\(678\) | 1.62772 | − | 1.73205i | 0.0625122 | − | 0.0665190i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 3.00000 | + | 5.19615i | 0.115045 | + | 0.199263i | ||||
\(681\) | 40.0367 | + | 9.40625i | 1.53421 | + | 0.360448i | ||||
\(682\) | 8.74456 | 0.334847 | ||||||||
\(683\) | 22.4198 | + | 38.8323i | 0.857871 | + | 1.48588i | 0.873956 | + | 0.486005i | \(0.161546\pi\) |
−0.0160849 | + | 0.999871i | \(0.505120\pi\) | |||||||
\(684\) | 0.930703 | + | 14.9711i | 0.0355863 | + | 0.572434i | ||||
\(685\) | 22.4674 | 0.858434 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 33.9198 | + | 7.96916i | 1.29412 | + | 0.304042i | ||||
\(688\) | 9.11684 | 0.347576 | ||||||||
\(689\) | 2.74456 | − | 4.75372i | 0.104560 | − | 0.181102i | ||||
\(690\) | −5.05842 | − | 16.7769i | −0.192571 | − | 0.638685i | ||||
\(691\) | −2.94158 | − | 5.09496i | −0.111903 | − | 0.193822i | 0.804635 | − | 0.593770i | \(-0.202361\pi\) |
−0.916537 | + | 0.399949i | \(0.869028\pi\) | |||||||
\(692\) | 6.00000 | 0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.11684 | −0.270152 | ||||||||
\(695\) | −14.5693 | − | 25.2348i | −0.552645 | − | 0.957209i | ||||
\(696\) | 3.25544 | − | 3.46410i | 0.123397 | − | 0.131306i | ||||
\(697\) | 22.6753 | − | 39.2747i | 0.858887 | − | 1.48764i | ||||
\(698\) | −22.0000 | −0.832712 | ||||||||
\(699\) | 13.9307 | − | 14.8236i | 0.526908 | − | 0.560681i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −3.76631 | −0.142252 | −0.0711258 | − | 0.997467i | \(-0.522659\pi\) | ||||
−0.0711258 | + | 0.997467i | \(0.522659\pi\) | |||||||
\(702\) | −9.74456 | + | 3.61158i | −0.367785 | + | 0.136310i | ||||
\(703\) | 5.00000 | + | 8.66025i | 0.188579 | + | 0.326628i | ||||
\(704\) | 4.37228 | 0.164787 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.81386 | + | 6.60580i | 0.143536 | + | 0.248612i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.55842 | + | 11.8020i | 0.133734 | + | 0.443544i | ||||
\(709\) | −22.0000 | − | 38.1051i | −0.826227 | − | 1.43107i | −0.900978 | − | 0.433865i | \(-0.857149\pi\) |
0.0747503 | − | 0.997202i | \(-0.476184\pi\) | |||||||
\(710\) | 6.94158 | + | 12.0232i | 0.260513 | + | 0.451221i | ||||
\(711\) | −2.25544 | − | 36.2805i | −0.0845855 | − | 1.36062i | ||||
\(712\) | −1.62772 | + | 2.81929i | −0.0610013 | + | 0.105657i | ||||
\(713\) | −7.37228 | + | 12.7692i | −0.276094 | + | 0.478209i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.00000 | + | 10.3923i | 0.224387 | + | 0.388650i | ||||
\(716\) | 14.7446 | 0.551030 | ||||||||
\(717\) | 9.43070 | + | 31.2781i | 0.352196 | + | 1.16810i | ||||
\(718\) | 6.86141 | 0.256065 | ||||||||
\(719\) | −4.37228 | + | 7.57301i | −0.163059 | + | 0.282426i | −0.935964 | − | 0.352095i | \(-0.885469\pi\) |
0.772906 | + | 0.634521i | \(0.218803\pi\) | |||||||
\(720\) | −0.255437 | − | 4.10891i | −0.00951959 | − | 0.153130i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 3.00000 | − | 5.19615i | 0.111648 | − | 0.193381i | ||||
\(723\) | −1.48913 | − | 0.349857i | −0.0553812 | − | 0.0130113i | ||||
\(724\) | 9.05842 | − | 15.6896i | 0.336654 | − | 0.583101i | ||||
\(725\) | 4.27719 | − | 7.40830i | 0.158851 | − | 0.275138i | ||||
\(726\) | 4.05842 | + | 13.4603i | 0.150622 | + | 0.499557i | ||||
\(727\) | −0.883156 | + | 1.52967i | −0.0327544 | + | 0.0567324i | −0.881938 | − | 0.471366i | \(-0.843761\pi\) |
0.849183 | + | 0.528098i | \(0.177095\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 5.00000 | + | 26.5330i | 0.185185 | + | 0.982704i | ||||
\(730\) | 3.51087 | − | 6.08101i | 0.129943 | − | 0.225068i | ||||
\(731\) | 39.8614 | 1.47433 | ||||||||
\(732\) | 23.8030 | + | 5.59230i | 0.879784 | + | 0.206697i | ||||
\(733\) | 23.8832 | 0.882144 | 0.441072 | − | 0.897472i | \(-0.354598\pi\) | ||||
0.441072 | + | 0.897472i | \(0.354598\pi\) | |||||||
\(734\) | −11.1168 | − | 19.2549i | −0.410330 | − | 0.710713i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.68614 | + | 6.38458i | −0.135873 | + | 0.235339i | ||||
\(737\) | −33.0475 | + | 57.2400i | −1.21732 | + | 2.10846i | ||||
\(738\) | −25.9307 | + | 17.2005i | −0.954522 | + | 0.633159i | ||||
\(739\) | −4.55842 | − | 7.89542i | −0.167684 | − | 0.290438i | 0.769921 | − | 0.638139i | \(-0.220296\pi\) |
−0.937605 | + | 0.347702i | \(0.886962\pi\) | |||||||
\(740\) | −1.37228 | − | 2.37686i | −0.0504461 | − | 0.0873751i | ||||
\(741\) | 16.8614 | + | 3.96143i | 0.619419 | + | 0.145527i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −21.8614 | − | 37.8651i | −0.802017 | − | 1.38913i | −0.918286 | − | 0.395917i | \(-0.870427\pi\) |
0.116269 | − | 0.993218i | \(-0.462906\pi\) | |||||||
\(744\) | −2.37228 | + | 2.52434i | −0.0869721 | + | 0.0925467i | ||||
\(745\) | 20.2337 | 0.741305 | ||||||||
\(746\) | −5.00000 | − | 8.66025i | −0.183063 | − | 0.317074i | ||||
\(747\) | −13.7228 | + | 9.10268i | −0.502091 | + | 0.333050i | ||||
\(748\) | 19.1168 | 0.698981 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −5.56930 | − | 18.4713i | −0.203362 | − | 0.674475i | ||||
\(751\) | 0.116844 | 0.00426370 | 0.00213185 | − | 0.999998i | \(-0.499321\pi\) | ||||
0.00213185 | + | 0.999998i | \(0.499321\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 15.1753 | + | 3.56529i | 0.553017 | + | 0.129926i | ||||
\(754\) | −2.74456 | − | 4.75372i | −0.0999511 | − | 0.173120i | ||||
\(755\) | −11.1386 | −0.405375 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.7663 | 0.427654 | 0.213827 | − | 0.976872i | \(-0.431407\pi\) | ||||
0.213827 | + | 0.976872i | \(0.431407\pi\) | |||||||
\(758\) | 4.55842 | + | 7.89542i | 0.165569 | + | 0.286775i | ||||
\(759\) | −54.3505 | − | 12.7692i | −1.97280 | − | 0.463491i | ||||
\(760\) | −3.43070 | + | 5.94215i | −0.124445 | + | 0.215545i | ||||
\(761\) | −12.5109 | −0.453519 | −0.226759 | − | 0.973951i | \(-0.572813\pi\) | ||||
−0.226759 | + | 0.973951i | \(0.572813\pi\) | |||||||
\(762\) | −7.05842 | − | 23.4101i | −0.255700 | − | 0.848060i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −1.88316 | −0.0681302 | ||||||||
\(765\) | −1.11684 | − | 17.9653i | −0.0403796 | − | 0.649537i | ||||
\(766\) | 10.6277 | + | 18.4077i | 0.383995 | + | 0.665099i | ||||
\(767\) | 14.2337 | 0.513949 | ||||||||
\(768\) | −1.18614 | + | 1.26217i | −0.0428012 | + | 0.0455446i | ||||
\(769\) | −5.00000 | − | 8.66025i | −0.180305 | − | 0.312297i | 0.761680 | − | 0.647954i | \(-0.224375\pi\) |
−0.941984 | + | 0.335657i | \(0.891042\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −36.8614 | − | 8.66025i | −1.32753 | − | 0.311891i | ||||
\(772\) | 3.50000 | + | 6.06218i | 0.125968 | + | 0.218183i | ||||
\(773\) | −5.56930 | − | 9.64630i | −0.200314 | − | 0.346953i | 0.748316 | − | 0.663343i | \(-0.230863\pi\) |
−0.948629 | + | 0.316389i | \(0.897529\pi\) | |||||||
\(774\) | −24.4891 | − | 12.1793i | −0.880243 | − | 0.437774i | ||||
\(775\) | −3.11684 | + | 5.39853i | −0.111960 | + | 0.193921i | ||||
\(776\) | −4.55842 | + | 7.89542i | −0.163638 | + | 0.283429i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −17.4891 | − | 30.2921i | −0.627016 | − | 1.08602i | ||||
\(779\) | 51.8614 | 1.85813 | ||||||||
\(780\) | −4.62772 | − | 1.08724i | −0.165699 | − | 0.0389295i | ||||
\(781\) | 44.2337 | 1.58281 | ||||||||
\(782\) | −16.1168 | + | 27.9152i | −0.576337 | + | 0.998245i | ||||
\(783\) | −13.3723 | + | 4.95610i | −0.477886 | + | 0.177117i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.56930 | + | 9.64630i | −0.198777 | + | 0.344291i | ||||
\(786\) | 3.68614 | + | 12.2255i | 0.131480 | + | 0.436071i | ||||
\(787\) | −2.00000 | + | 3.46410i | −0.0712923 | + | 0.123482i | −0.899468 | − | 0.436987i | \(-0.856046\pi\) |
0.828176 | + | 0.560469i | \(0.189379\pi\) | |||||||
\(788\) | 3.00000 | − | 5.19615i | 0.106871 | − | 0.185105i | ||||
\(789\) | 22.5475 | + | 5.29734i | 0.802714 | + | 0.188590i | ||||
\(790\) | 8.31386 | − | 14.4000i | 0.295794 | − | 0.512330i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −11.7446 | − | 5.84096i | −0.417325 | − | 0.207550i | ||||
\(793\) | 14.1168 | − | 24.4511i | 0.501304 | − | 0.868284i | ||||
\(794\) | −22.0000 | −0.780751 | ||||||||
\(795\) | −1.88316 | − | 6.24572i | −0.0667887 | − | 0.221513i | ||||
\(796\) | 10.0000 | 0.354441 | ||||||||
\(797\) | −18.4307 | − | 31.9229i | −0.652849 | − | 1.13077i | −0.982428 | − | 0.186640i | \(-0.940240\pi\) |
0.329579 | − | 0.944128i | \(-0.393093\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −1.55842 | + | 2.69927i | −0.0550985 | + | 0.0954335i | ||||
\(801\) | 8.13859 | − | 5.39853i | 0.287563 | − | 0.190748i | ||||
\(802\) | −0.127719 | − | 0.221215i | −0.00450990 | − | 0.00781138i | ||||
\(803\) | −11.1861 | − | 19.3750i | −0.394750 | − | 0.683728i | ||||
\(804\) | −7.55842 | − | 25.0684i | −0.266565 | − | 0.884096i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.00000 | + | 3.46410i | 0.0704470 | + | 0.122018i | ||||
\(807\) | −3.68614 | − | 12.2255i | −0.129758 | − | 0.430360i | ||||
\(808\) | 7.37228 | 0.259356 | ||||||||
\(809\) | −10.9307 | − | 18.9325i | −0.384303 | − | 0.665632i | 0.607369 | − | 0.794420i | \(-0.292225\pi\) |
−0.991672 | + | 0.128787i | \(0.958892\pi\) | |||||||
\(810\) | −4.80298 | + | 11.3784i | −0.168760 | + | 0.399795i | ||||
\(811\) | −24.8832 | −0.873766 | −0.436883 | − | 0.899518i | \(-0.643918\pi\) | ||||
−0.436883 | + | 0.899518i | \(0.643918\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −21.6277 | + | 23.0140i | −0.758517 | + | 0.807136i | ||||
\(814\) | −8.74456 | −0.306497 | ||||||||
\(815\) | −11.1386 | + | 19.2926i | −0.390168 | + | 0.675791i | ||||
\(816\) | −5.18614 | + | 5.51856i | −0.181551 | + | 0.193188i | ||||
\(817\) | 22.7921 | + | 39.4771i | 0.797395 | + | 1.38113i | ||||
\(818\) | 29.3505 | 1.02622 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −14.2337 | −0.497062 | ||||||||
\(821\) | 19.1168 | + | 33.1113i | 0.667182 | + | 1.15559i | 0.978689 | + | 0.205350i | \(0.0658332\pi\) |
−0.311506 | + | 0.950244i | \(0.600833\pi\) | |||||||
\(822\) | 8.18614 | + | 27.1504i | 0.285524 | + | 0.946977i | ||||
\(823\) | −11.1168 | + | 19.2549i | −0.387509 | + | 0.671185i | −0.992114 | − | 0.125341i | \(-0.959998\pi\) |
0.604605 | + | 0.796525i | \(0.293331\pi\) | |||||||
\(824\) | −10.0000 | −0.348367 | ||||||||
\(825\) | −22.9783 | − | 5.39853i | −0.800000 | − | 0.187953i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.0000 | 0.417281 | 0.208640 | − | 0.977992i | \(-0.433096\pi\) | ||||
0.208640 | + | 0.977992i | \(0.433096\pi\) | |||||||
\(828\) | 18.4307 | − | 12.2255i | 0.640511 | − | 0.424867i | ||||
\(829\) | −24.1168 | − | 41.7716i | −0.837613 | − | 1.45079i | −0.891885 | − | 0.452261i | \(-0.850617\pi\) |
0.0542728 | − | 0.998526i | \(-0.482716\pi\) | |||||||
\(830\) | −7.53262 | −0.261461 | ||||||||
\(831\) | 37.4891 | + | 8.80773i | 1.30048 | + | 0.305537i | ||||
\(832\) | 1.00000 | + | 1.73205i | 0.0346688 | + | 0.0600481i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 25.1861 | − | 26.8005i | 0.872125 | − | 0.928025i | ||||
\(835\) | 12.0000 | + | 20.7846i | 0.415277 | + | 0.719281i | ||||
\(836\) | 10.9307 | + | 18.9325i | 0.378046 | + | 0.654795i | ||||
\(837\) | 9.74456 | − | 3.61158i | 0.336821 | − | 0.124834i | ||||
\(838\) | −13.8030 | + | 23.9075i | −0.476816 | + | 0.825870i | ||||
\(839\) | −8.74456 | + | 15.1460i | −0.301896 | + | 0.522899i | −0.976565 | − | 0.215221i | \(-0.930953\pi\) |
0.674670 | + | 0.738120i | \(0.264286\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.7337 | + | 18.5913i | 0.370127 | + | 0.641079i | ||||
\(842\) | 0.233688 | 0.00805342 | ||||||||
\(843\) | −12.6060 | + | 13.4140i | −0.434173 | + | 0.462002i | ||||
\(844\) | −16.0000 | −0.550743 | ||||||||
\(845\) | 6.17527 | − | 10.6959i | 0.212436 | − | 0.367949i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.37228 | + | 2.37686i | −0.0471243 | + | 0.0816217i | ||||
\(849\) | 11.7228 | − | 12.4742i | 0.402326 | − | 0.428114i | ||||
\(850\) | −6.81386 | + | 11.8020i | −0.233713 | + | 0.404804i | ||||
\(851\) | 7.37228 | − | 12.7692i | 0.252719 | − | 0.437721i | ||||
\(852\) | −12.0000 | + | 12.7692i | −0.411113 | + | 0.437464i | ||||
\(853\) | −8.94158 | + | 15.4873i | −0.306154 | + | 0.530274i | −0.977518 | − | 0.210854i | \(-0.932376\pi\) |
0.671364 | + | 0.741128i | \(0.265709\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 17.1535 | − | 11.3784i | 0.586638 | − | 0.389132i | ||||
\(856\) | −0.813859 | + | 1.40965i | −0.0278171 | + | 0.0481807i | ||||
\(857\) | −51.9565 | −1.77480 | −0.887400 | − | 0.461000i | \(-0.847491\pi\) | ||||
−0.887400 | + | 0.461000i | \(0.847491\pi\) | |||||||
\(858\) | −10.3723 | + | 11.0371i | −0.354104 | + | 0.376801i | ||||
\(859\) | −51.1168 | −1.74408 | −0.872042 | − | 0.489431i | \(-0.837205\pi\) | ||||
−0.872042 | + | 0.489431i | \(0.837205\pi\) | |||||||
\(860\) | −6.25544 | − | 10.8347i | −0.213309 | − | 0.369461i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −14.7446 | + | 25.5383i | −0.502202 | + | 0.869839i | ||||
\(863\) | 9.43070 | − | 16.3345i | 0.321025 | − | 0.556031i | −0.659675 | − | 0.751551i | \(-0.729306\pi\) |
0.980700 | + | 0.195520i | \(0.0626394\pi\) | |||||||
\(864\) | 4.87228 | − | 1.80579i | 0.165758 | − | 0.0614342i | ||||
\(865\) | −4.11684 | − | 7.13058i | −0.139977 | − | 0.242447i | ||||
\(866\) | 1.44158 | + | 2.49689i | 0.0489868 | + | 0.0848477i | ||||
\(867\) | −2.51087 | + | 2.67181i | −0.0852738 | + | 0.0907396i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −26.4891 | − | 45.8805i | −0.898582 | − | 1.55639i | ||||
\(870\) | −6.35053 | − | 1.49200i | −0.215303 | − | 0.0505835i | ||||
\(871\) | −30.2337 | −1.02443 | ||||||||
\(872\) | 7.00000 | + | 12.1244i | 0.237050 | + | 0.410582i | ||||
\(873\) | 22.7921 | − | 15.1186i | 0.771396 | − | 0.511686i | ||||
\(874\) | −36.8614 | −1.24686 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 8.62772 | + | 2.02700i | 0.291504 | + | 0.0684861i | ||||
\(877\) | 44.7011 | 1.50945 | 0.754724 | − | 0.656043i | \(-0.227771\pi\) | ||||
0.754724 | + | 0.656043i | \(0.227771\pi\) | |||||||
\(878\) | −4.00000 | + | 6.92820i | −0.134993 | + | 0.233816i | ||||
\(879\) | −2.31386 | − | 7.67420i | −0.0780445 | − | 0.258844i | ||||
\(880\) | −3.00000 | − | 5.19615i | −0.101130 | − | 0.175162i | ||||
\(881\) | −14.2337 | −0.479545 | −0.239773 | − | 0.970829i | \(-0.577073\pi\) | ||||
−0.239773 | + | 0.970829i | \(0.577073\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.3505 | 0.381976 | 0.190988 | − | 0.981592i | \(-0.438831\pi\) | ||||
0.190988 | + | 0.981592i | \(0.438831\pi\) | |||||||
\(884\) | 4.37228 | + | 7.57301i | 0.147056 | + | 0.254708i | ||||
\(885\) | 11.5842 | − | 12.3267i | 0.389399 | − | 0.414359i | ||||
\(886\) | −11.4416 | + | 19.8174i | −0.384387 | + | 0.665778i | ||||
\(887\) | 31.7228 | 1.06515 | 0.532574 | − | 0.846383i | \(-0.321225\pi\) | ||||
0.532574 | + | 0.846383i | \(0.321225\pi\) | |||||||
\(888\) | 2.37228 | − | 2.52434i | 0.0796085 | − | 0.0847112i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 4.46738 | 0.149747 | ||||||||
\(891\) | 23.7446 | + | 31.3793i | 0.795473 | + | 1.05125i | ||||
\(892\) | −2.00000 | − | 3.46410i | −0.0669650 | − | 0.115987i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 7.37228 | + | 24.4511i | 0.246566 | + | 0.817767i | ||||
\(895\) | −10.1168 | − | 17.5229i | −0.338169 | − | 0.585726i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.37228 | − | 24.4511i | −0.246153 | − | 0.816398i | ||||
\(898\) | 16.5000 | + | 28.5788i | 0.550612 | + | 0.953688i | ||||
\(899\) | 2.74456 | + | 4.75372i | 0.0915363 | + | 0.158546i | ||||
\(900\) | 7.79211 | − | 5.16870i | 0.259737 | − | 0.172290i | ||||
\(901\) | −6.00000 | + | 10.3923i | −0.199889 | + | 0.346218i | ||||
\(902\) | −22.6753 | + | 39.2747i | −0.755004 | + | 1.30770i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.686141 | + | 1.18843i | 0.0228207 | + | 0.0395266i | ||||
\(905\) | −24.8614 | −0.826421 | ||||||||
\(906\) | −4.05842 | − | 13.4603i | −0.134832 | − | 0.447187i | ||||
\(907\) | −8.88316 | −0.294960 | −0.147480 | − | 0.989065i | \(-0.547116\pi\) | ||||
−0.147480 | + | 0.989065i | \(0.547116\pi\) | |||||||
\(908\) | −11.8723 | + | 20.5634i | −0.393995 | + | 0.682420i | ||||
\(909\) | −19.8030 | − | 9.84868i | −0.656824 | − | 0.326660i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 21.6861 | − | 37.5615i | 0.718494 | − | 1.24447i | −0.243103 | − | 0.970001i | \(-0.578165\pi\) |
0.961596 | − | 0.274467i | \(-0.0885015\pi\) | |||||||
\(912\) | −8.43070 | − | 1.98072i | −0.279168 | − | 0.0655881i | ||||
\(913\) | −12.0000 | + | 20.7846i | −0.397142 | + | 0.687870i | ||||
\(914\) | 16.7337 | − | 28.9836i | 0.553501 | − | 0.958692i | ||||
\(915\) | −9.68614 | − | 32.1253i | −0.320214 | − | 1.06203i | ||||
\(916\) | −10.0584 | + | 17.4217i | −0.332340 | + | 0.575629i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 21.3030 | − | 7.89542i | 0.703103 | − | 0.260588i | ||||
\(919\) | 14.9416 | − | 25.8796i | 0.492877 | − | 0.853688i | −0.507089 | − | 0.861894i | \(-0.669279\pi\) |
0.999966 | + | 0.00820529i | \(0.00261185\pi\) | |||||||
\(920\) | 10.1168 | 0.333542 | ||||||||
\(921\) | 21.9198 | + | 5.14987i | 0.722283 | + | 0.169694i | ||||
\(922\) | 30.8614 | 1.01637 | ||||||||
\(923\) | 10.1168 | + | 17.5229i | 0.333000 | + | 0.576773i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.11684 | − | 5.39853i | 0.102481 | − | 0.177503i | ||||
\(926\) | −2.94158 | + | 5.09496i | −0.0966663 | + | 0.167431i | ||||
\(927\) | 26.8614 | + | 13.3591i | 0.882244 | + | 0.438770i | ||||
\(928\) | 1.37228 | + | 2.37686i | 0.0450473 | + | 0.0780243i | ||||
\(929\) | 4.88316 | + | 8.45787i | 0.160211 | + | 0.277494i | 0.934944 | − | 0.354794i | \(-0.115449\pi\) |
−0.774733 | + | 0.632288i | \(0.782116\pi\) | |||||||
\(930\) | 4.62772 | + | 1.08724i | 0.151749 | + | 0.0356520i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 5.87228 | + | 10.1711i | 0.192353 | + | 0.333165i | ||||
\(933\) | −31.1168 | + | 33.1113i | −1.01872 | + | 1.08402i | ||||
\(934\) | −30.0951 | −0.984742 | ||||||||
\(935\) | −13.1168 | − | 22.7190i | −0.428967 | − | 0.742992i | ||||
\(936\) | −0.372281 | − | 5.98844i | −0.0121684 | − | 0.195738i | ||||
\(937\) | 38.4674 | 1.25667 | 0.628337 | − | 0.777941i | \(-0.283736\pi\) | ||||
0.628337 | + | 0.777941i | \(0.283736\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.44158 | − | 4.78117i | −0.0470441 | − | 0.156028i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0.941578 | − | 1.63086i | 0.0306946 | − | 0.0531645i | −0.850270 | − | 0.526347i | \(-0.823561\pi\) |
0.880965 | + | 0.473182i | \(0.156895\pi\) | |||||||
\(942\) | −13.6861 | − | 3.21543i | −0.445919 | − | 0.104765i | ||||
\(943\) | −38.2337 | − | 66.2227i | −1.24506 | − | 2.15651i | ||||
\(944\) | −7.11684 | −0.231634 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −39.8614 | −1.29601 | ||||||||
\(947\) | −8.44158 | − | 14.6212i | −0.274314 | − | 0.475127i | 0.695648 | − | 0.718383i | \(-0.255118\pi\) |
−0.969962 | + | 0.243257i | \(0.921784\pi\) | |||||||
\(948\) | 20.4307 | + | 4.80001i | 0.663558 | + | 0.155897i | ||||
\(949\) | 5.11684 | − | 8.86263i | 0.166100 | − | 0.287693i | ||||
\(950\) | −15.5842 | −0.505619 | ||||||||
\(951\) | 3.00000 | + | 9.94987i | 0.0972817 | + | 0.322647i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 10.8832 | 0.352540 | 0.176270 | − | 0.984342i | \(-0.443597\pi\) | ||||
0.176270 | + | 0.984342i | \(0.443597\pi\) | |||||||
\(954\) | 6.86141 | − | 4.55134i | 0.222146 | − | 0.147355i | ||||
\(955\) | 1.29211 | + | 2.23800i | 0.0418117 | + | 0.0724200i | ||||
\(956\) | −18.8614 | −0.610021 | ||||||||
\(957\) | −14.2337 | + | 15.1460i | −0.460110 | + | 0.489602i | ||||
\(958\) | −10.6277 | − | 18.4077i | −0.343366 | − | 0.594727i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 2.31386 | + | 0.543620i | 0.0746795 | + | 0.0175453i | ||||
\(961\) | 13.5000 | + | 23.3827i | 0.435484 | + | 0.754280i | ||||
\(962\) | −2.00000 | − | 3.46410i | −0.0644826 | − | 0.111687i | ||||
\(963\) | 4.06930 | − | 2.69927i | 0.131131 | − | 0.0869826i | ||||
\(964\) | 0.441578 | − | 0.764836i | 0.0142223 | − | 0.0246337i | ||||
\(965\) | 4.80298 | − | 8.31901i | 0.154614 | − | 0.267799i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −24.0584 | − | 41.6704i | −0.773667 | − | 1.34003i | −0.935541 | − | 0.353219i | \(-0.885087\pi\) |
0.161874 | − | 0.986811i | \(-0.448246\pi\) | |||||||
\(968\) | −8.11684 | −0.260885 | ||||||||
\(969\) | −36.8614 | − | 8.66025i | −1.18416 | − | 0.278207i | ||||
\(970\) | 12.5109 | 0.401700 | ||||||||
\(971\) | 3.68614 | − | 6.38458i | 0.118294 | − | 0.204891i | −0.800798 | − | 0.598935i | \(-0.795591\pi\) |
0.919092 | + | 0.394044i | \(0.128924\pi\) | |||||||
\(972\) | −15.5000 | − | 1.65831i | −0.497163 | − | 0.0531904i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −8.17527 | + | 14.1600i | −0.261952 | + | 0.453715i | ||||
\(975\) | −3.11684 | − | 10.3374i | −0.0998189 | − | 0.331062i | ||||
\(976\) | −7.05842 | + | 12.2255i | −0.225935 | + | 0.391330i | ||||
\(977\) | −11.4416 | + | 19.8174i | −0.366049 | + | 0.634015i | −0.988944 | − | 0.148291i | \(-0.952623\pi\) |
0.622895 | + | 0.782305i | \(0.285956\pi\) | |||||||
\(978\) | −27.3723 | − | 6.43087i | −0.875269 | − | 0.205637i | ||||
\(979\) | 7.11684 | − | 12.3267i | 0.227455 | − | 0.393964i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.60597 | − | 41.9191i | −0.0832022 | − | 1.33837i | ||||
\(982\) | −9.81386 | + | 16.9981i | −0.313173 | + | 0.542431i | ||||
\(983\) | 50.7446 | 1.61850 | 0.809250 | − | 0.587464i | \(-0.199874\pi\) | ||||
0.809250 | + | 0.587464i | \(0.199874\pi\) | |||||||
\(984\) | −5.18614 | − | 17.2005i | −0.165328 | − | 0.548331i | ||||
\(985\) | −8.23369 | −0.262347 | ||||||||
\(986\) | 6.00000 | + | 10.3923i | 0.191079 | + | 0.330958i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.00000 | + | 8.66025i | −0.159071 | + | 0.275519i | ||||
\(989\) | 33.6060 | − | 58.2072i | 1.06861 | − | 1.85088i | ||||
\(990\) | 1.11684 | + | 17.9653i | 0.0354956 | + | 0.570975i | ||||
\(991\) | 10.2337 | + | 17.7253i | 0.325084 | + | 0.563062i | 0.981529 | − | 0.191312i | \(-0.0612742\pi\) |
−0.656446 | + | 0.754373i | \(0.727941\pi\) | |||||||
\(992\) | −1.00000 | − | 1.73205i | −0.0317500 | − | 0.0549927i | ||||
\(993\) | 6.11684 | + | 20.2873i | 0.194112 | + | 0.643797i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −6.86141 | − | 11.8843i | −0.217521 | − | 0.376758i | ||||
\(996\) | −2.74456 | − | 9.10268i | −0.0869648 | − | 0.288430i | ||||
\(997\) | −12.1168 | −0.383744 | −0.191872 | − | 0.981420i | \(-0.561456\pi\) | ||||
−0.191872 | + | 0.981420i | \(0.561456\pi\) | |||||||
\(998\) | 0.441578 | + | 0.764836i | 0.0139779 | + | 0.0242104i | ||||
\(999\) | −9.74456 | + | 3.61158i | −0.308304 | + | 0.114265i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))