Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(429,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.429");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.c (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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{7})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 7x^{2} + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 653.2 | ||
Root | \(-1.32288 - 2.29129i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.653 |
Dual form | 722.2.c.j.429.2 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 1.32288 | + | 2.29129i | 0.763763 | + | 1.32288i | 0.940898 | + | 0.338689i | \(0.109984\pi\) |
−0.177136 | + | 0.984186i | \(0.556683\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.822876 | + | 1.42526i | 0.368001 | + | 0.637397i | 0.989253 | − | 0.146214i | \(-0.0467089\pi\) |
−0.621252 | + | 0.783611i | \(0.713376\pi\) | |||||||
\(6\) | −1.32288 | + | 2.29129i | −0.540062 | + | 0.935414i | ||||
\(7\) | 3.64575 | 1.37796 | 0.688982 | − | 0.724778i | \(-0.258058\pi\) | ||||
0.688982 | + | 0.724778i | \(0.258058\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.00000 | + | 3.46410i | −0.666667 | + | 1.15470i | ||||
\(10\) | −0.822876 | + | 1.42526i | −0.260216 | + | 0.450708i | ||||
\(11\) | −4.64575 | −1.40075 | −0.700373 | − | 0.713777i | \(-0.746983\pi\) | ||||
−0.700373 | + | 0.713777i | \(0.746983\pi\) | |||||||
\(12\) | −2.64575 | −0.763763 | ||||||||
\(13\) | 1.00000 | − | 1.73205i | 0.277350 | − | 0.480384i | −0.693375 | − | 0.720577i | \(-0.743877\pi\) |
0.970725 | + | 0.240192i | \(0.0772105\pi\) | |||||||
\(14\) | 1.82288 | + | 3.15731i | 0.487184 | + | 0.843827i | ||||
\(15\) | −2.17712 | + | 3.77089i | −0.562131 | + | 0.973640i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(18\) | −4.00000 | −0.942809 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −1.64575 | −0.368001 | ||||||||
\(21\) | 4.82288 | + | 8.35347i | 1.05244 | + | 1.82288i | ||||
\(22\) | −2.32288 | − | 4.02334i | −0.495239 | − | 0.857779i | ||||
\(23\) | 0.822876 | − | 1.42526i | 0.171581 | − | 0.297188i | −0.767391 | − | 0.641179i | \(-0.778446\pi\) |
0.938973 | + | 0.343991i | \(0.111779\pi\) | |||||||
\(24\) | −1.32288 | − | 2.29129i | −0.270031 | − | 0.467707i | ||||
\(25\) | 1.14575 | − | 1.98450i | 0.229150 | − | 0.396900i | ||||
\(26\) | 2.00000 | 0.392232 | ||||||||
\(27\) | −2.64575 | −0.509175 | ||||||||
\(28\) | −1.82288 | + | 3.15731i | −0.344491 | + | 0.596676i | ||||
\(29\) | 0.822876 | − | 1.42526i | 0.152804 | − | 0.264665i | −0.779453 | − | 0.626461i | \(-0.784503\pi\) |
0.932257 | + | 0.361796i | \(0.117836\pi\) | |||||||
\(30\) | −4.35425 | −0.794973 | ||||||||
\(31\) | 5.64575 | 1.01401 | 0.507003 | − | 0.861944i | \(-0.330753\pi\) | ||||
0.507003 | + | 0.861944i | \(0.330753\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −6.14575 | − | 10.6448i | −1.06984 | − | 1.85301i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.00000 | + | 5.19615i | 0.507093 | + | 0.878310i | ||||
\(36\) | −2.00000 | − | 3.46410i | −0.333333 | − | 0.577350i | ||||
\(37\) | −0.354249 | −0.0582381 | −0.0291191 | − | 0.999576i | \(-0.509270\pi\) | ||||
−0.0291191 | + | 0.999576i | \(0.509270\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.29150 | 0.847319 | ||||||||
\(40\) | −0.822876 | − | 1.42526i | −0.130108 | − | 0.225354i | ||||
\(41\) | −0.145751 | − | 0.252449i | −0.0227625 | − | 0.0394259i | 0.854420 | − | 0.519583i | \(-0.173913\pi\) |
−0.877182 | + | 0.480158i | \(0.840579\pi\) | |||||||
\(42\) | −4.82288 | + | 8.35347i | −0.744186 | + | 1.28897i | ||||
\(43\) | −5.64575 | − | 9.77873i | −0.860969 | − | 1.49124i | −0.870995 | − | 0.491292i | \(-0.836525\pi\) |
0.0100257 | − | 0.999950i | \(-0.496809\pi\) | |||||||
\(44\) | 2.32288 | − | 4.02334i | 0.350187 | − | 0.606541i | ||||
\(45\) | −6.58301 | −0.981336 | ||||||||
\(46\) | 1.64575 | 0.242653 | ||||||||
\(47\) | −2.17712 | + | 3.77089i | −0.317566 | + | 0.550041i | −0.979980 | − | 0.199098i | \(-0.936199\pi\) |
0.662413 | + | 0.749138i | \(0.269532\pi\) | |||||||
\(48\) | 1.32288 | − | 2.29129i | 0.190941 | − | 0.330719i | ||||
\(49\) | 6.29150 | 0.898786 | ||||||||
\(50\) | 2.29150 | 0.324067 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.00000 | + | 1.73205i | 0.138675 | + | 0.240192i | ||||
\(53\) | −6.29150 | + | 10.8972i | −0.864204 | + | 1.49685i | 0.00363070 | + | 0.999993i | \(0.498844\pi\) |
−0.867835 | + | 0.496852i | \(0.834489\pi\) | |||||||
\(54\) | −1.32288 | − | 2.29129i | −0.180021 | − | 0.311805i | ||||
\(55\) | −3.82288 | − | 6.62141i | −0.515476 | − | 0.892831i | ||||
\(56\) | −3.64575 | −0.487184 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.64575 | 0.216098 | ||||||||
\(59\) | −3.96863 | − | 6.87386i | −0.516671 | − | 0.894901i | −0.999813 | − | 0.0193585i | \(-0.993838\pi\) |
0.483141 | − | 0.875542i | \(-0.339496\pi\) | |||||||
\(60\) | −2.17712 | − | 3.77089i | −0.281066 | − | 0.486820i | ||||
\(61\) | −0.468627 | + | 0.811686i | −0.0600015 | + | 0.103926i | −0.894466 | − | 0.447136i | \(-0.852444\pi\) |
0.834464 | + | 0.551062i | \(0.185777\pi\) | |||||||
\(62\) | 2.82288 | + | 4.88936i | 0.358506 | + | 0.620950i | ||||
\(63\) | −7.29150 | + | 12.6293i | −0.918643 | + | 1.59114i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.29150 | 0.408261 | ||||||||
\(66\) | 6.14575 | − | 10.6448i | 0.756490 | − | 1.31028i | ||||
\(67\) | 0.322876 | − | 0.559237i | 0.0394455 | − | 0.0683217i | −0.845629 | − | 0.533772i | \(-0.820774\pi\) |
0.885074 | + | 0.465450i | \(0.154108\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.35425 | 0.524190 | ||||||||
\(70\) | −3.00000 | + | 5.19615i | −0.358569 | + | 0.621059i | ||||
\(71\) | −1.35425 | − | 2.34563i | −0.160720 | − | 0.278375i | 0.774407 | − | 0.632687i | \(-0.218048\pi\) |
−0.935127 | + | 0.354313i | \(0.884715\pi\) | |||||||
\(72\) | 2.00000 | − | 3.46410i | 0.235702 | − | 0.408248i | ||||
\(73\) | −0.854249 | − | 1.47960i | −0.0999822 | − | 0.173174i | 0.811695 | − | 0.584082i | \(-0.198545\pi\) |
−0.911677 | + | 0.410907i | \(0.865212\pi\) | |||||||
\(74\) | −0.177124 | − | 0.306788i | −0.0205903 | − | 0.0356634i | ||||
\(75\) | 6.06275 | 0.700066 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −16.9373 | −1.93018 | ||||||||
\(78\) | 2.64575 | + | 4.58258i | 0.299572 | + | 0.518875i | ||||
\(79\) | −2.00000 | − | 3.46410i | −0.225018 | − | 0.389742i | 0.731307 | − | 0.682048i | \(-0.238911\pi\) |
−0.956325 | + | 0.292306i | \(0.905577\pi\) | |||||||
\(80\) | 0.822876 | − | 1.42526i | 0.0920003 | − | 0.159349i | ||||
\(81\) | 2.50000 | + | 4.33013i | 0.277778 | + | 0.481125i | ||||
\(82\) | 0.145751 | − | 0.252449i | 0.0160955 | − | 0.0278783i | ||||
\(83\) | 7.93725 | 0.871227 | 0.435613 | − | 0.900134i | \(-0.356531\pi\) | ||||
0.435613 | + | 0.900134i | \(0.356531\pi\) | |||||||
\(84\) | −9.64575 | −1.05244 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 5.64575 | − | 9.77873i | 0.608797 | − | 1.05447i | ||||
\(87\) | 4.35425 | 0.466824 | ||||||||
\(88\) | 4.64575 | 0.495239 | ||||||||
\(89\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(90\) | −3.29150 | − | 5.70105i | −0.346955 | − | 0.600943i | ||||
\(91\) | 3.64575 | − | 6.31463i | 0.382179 | − | 0.661953i | ||||
\(92\) | 0.822876 | + | 1.42526i | 0.0857907 | + | 0.148594i | ||||
\(93\) | 7.46863 | + | 12.9360i | 0.774461 | + | 1.34141i | ||||
\(94\) | −4.35425 | −0.449106 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.64575 | 0.270031 | ||||||||
\(97\) | −1.85425 | − | 3.21165i | −0.188270 | − | 0.326094i | 0.756403 | − | 0.654106i | \(-0.226955\pi\) |
−0.944674 | + | 0.328012i | \(0.893621\pi\) | |||||||
\(98\) | 3.14575 | + | 5.44860i | 0.317769 | + | 0.550392i | ||||
\(99\) | 9.29150 | − | 16.0934i | 0.933831 | − | 1.61744i | ||||
\(100\) | 1.14575 | + | 1.98450i | 0.114575 | + | 0.198450i | ||||
\(101\) | 6.82288 | − | 11.8176i | 0.678902 | − | 1.17589i | −0.296411 | − | 0.955061i | \(-0.595790\pi\) |
0.975312 | − | 0.220831i | \(-0.0708770\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.2915 | 1.30965 | 0.654825 | − | 0.755780i | \(-0.272742\pi\) | ||||
0.654825 | + | 0.755780i | \(0.272742\pi\) | |||||||
\(104\) | −1.00000 | + | 1.73205i | −0.0980581 | + | 0.169842i | ||||
\(105\) | −7.93725 | + | 13.7477i | −0.774597 | + | 1.34164i | ||||
\(106\) | −12.5830 | −1.22217 | ||||||||
\(107\) | −15.2915 | −1.47829 | −0.739143 | − | 0.673549i | \(-0.764769\pi\) | ||||
−0.739143 | + | 0.673549i | \(0.764769\pi\) | |||||||
\(108\) | 1.32288 | − | 2.29129i | 0.127294 | − | 0.220479i | ||||
\(109\) | 7.29150 | + | 12.6293i | 0.698399 | + | 1.20966i | 0.969021 | + | 0.246977i | \(0.0794373\pi\) |
−0.270622 | + | 0.962686i | \(0.587229\pi\) | |||||||
\(110\) | 3.82288 | − | 6.62141i | 0.364497 | − | 0.631327i | ||||
\(111\) | −0.468627 | − | 0.811686i | −0.0444801 | − | 0.0770418i | ||||
\(112\) | −1.82288 | − | 3.15731i | −0.172246 | − | 0.298338i | ||||
\(113\) | 15.5830 | 1.46593 | 0.732963 | − | 0.680269i | \(-0.238137\pi\) | ||||
0.732963 | + | 0.680269i | \(0.238137\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.70850 | 0.252569 | ||||||||
\(116\) | 0.822876 | + | 1.42526i | 0.0764021 | + | 0.132332i | ||||
\(117\) | 4.00000 | + | 6.92820i | 0.369800 | + | 0.640513i | ||||
\(118\) | 3.96863 | − | 6.87386i | 0.365342 | − | 0.632790i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 2.17712 | − | 3.77089i | 0.198743 | − | 0.344234i | ||||
\(121\) | 10.5830 | 0.962091 | ||||||||
\(122\) | −0.937254 | −0.0848550 | ||||||||
\(123\) | 0.385622 | − | 0.667916i | 0.0347703 | − | 0.0602240i | ||||
\(124\) | −2.82288 | + | 4.88936i | −0.253502 | + | 0.439078i | ||||
\(125\) | 12.0000 | 1.07331 | ||||||||
\(126\) | −14.5830 | −1.29916 | ||||||||
\(127\) | −6.64575 | + | 11.5108i | −0.589715 | + | 1.02142i | 0.404554 | + | 0.914514i | \(0.367427\pi\) |
−0.994270 | + | 0.106903i | \(0.965907\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 14.9373 | − | 25.8721i | 1.31515 | − | 2.27791i | ||||
\(130\) | 1.64575 | + | 2.85052i | 0.144342 | + | 0.250008i | ||||
\(131\) | −0.968627 | − | 1.67771i | −0.0846293 | − | 0.146582i | 0.820604 | − | 0.571497i | \(-0.193637\pi\) |
−0.905233 | + | 0.424915i | \(0.860304\pi\) | |||||||
\(132\) | 12.2915 | 1.06984 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0.645751 | 0.0557844 | ||||||||
\(135\) | −2.17712 | − | 3.77089i | −0.187377 | − | 0.324547i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −7.79150 | + | 13.4953i | −0.665673 | + | 1.15298i | 0.313429 | + | 0.949612i | \(0.398522\pi\) |
−0.979102 | + | 0.203368i | \(0.934811\pi\) | |||||||
\(138\) | 2.17712 | + | 3.77089i | 0.185329 | + | 0.320999i | ||||
\(139\) | −9.32288 | + | 16.1477i | −0.790756 | + | 1.36963i | 0.134743 | + | 0.990881i | \(0.456979\pi\) |
−0.925499 | + | 0.378749i | \(0.876354\pi\) | |||||||
\(140\) | −6.00000 | −0.507093 | ||||||||
\(141\) | −11.5203 | −0.970181 | ||||||||
\(142\) | 1.35425 | − | 2.34563i | 0.113646 | − | 0.196841i | ||||
\(143\) | −4.64575 | + | 8.04668i | −0.388497 | + | 0.672897i | ||||
\(144\) | 4.00000 | 0.333333 | ||||||||
\(145\) | 2.70850 | 0.224928 | ||||||||
\(146\) | 0.854249 | − | 1.47960i | 0.0706981 | − | 0.122453i | ||||
\(147\) | 8.32288 | + | 14.4156i | 0.686459 | + | 1.18898i | ||||
\(148\) | 0.177124 | − | 0.306788i | 0.0145595 | − | 0.0252178i | ||||
\(149\) | −5.46863 | − | 9.47194i | −0.448007 | − | 0.775972i | 0.550249 | − | 0.835001i | \(-0.314533\pi\) |
−0.998256 | + | 0.0590292i | \(0.981200\pi\) | |||||||
\(150\) | 3.03137 | + | 5.25049i | 0.247511 | + | 0.428701i | ||||
\(151\) | −12.9373 | −1.05282 | −0.526409 | − | 0.850231i | \(-0.676462\pi\) | ||||
−0.526409 | + | 0.850231i | \(0.676462\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −8.46863 | − | 14.6681i | −0.682421 | − | 1.18199i | ||||
\(155\) | 4.64575 | + | 8.04668i | 0.373156 | + | 0.646325i | ||||
\(156\) | −2.64575 | + | 4.58258i | −0.211830 | + | 0.366900i | ||||
\(157\) | 5.29150 | + | 9.16515i | 0.422308 | + | 0.731459i | 0.996165 | − | 0.0874969i | \(-0.0278868\pi\) |
−0.573857 | + | 0.818956i | \(0.694553\pi\) | |||||||
\(158\) | 2.00000 | − | 3.46410i | 0.159111 | − | 0.275589i | ||||
\(159\) | −33.2915 | −2.64019 | ||||||||
\(160\) | 1.64575 | 0.130108 | ||||||||
\(161\) | 3.00000 | − | 5.19615i | 0.236433 | − | 0.409514i | ||||
\(162\) | −2.50000 | + | 4.33013i | −0.196419 | + | 0.340207i | ||||
\(163\) | 3.93725 | 0.308390 | 0.154195 | − | 0.988040i | \(-0.450722\pi\) | ||||
0.154195 | + | 0.988040i | \(0.450722\pi\) | |||||||
\(164\) | 0.291503 | 0.0227625 | ||||||||
\(165\) | 10.1144 | − | 17.5186i | 0.787403 | − | 1.36382i | ||||
\(166\) | 3.96863 | + | 6.87386i | 0.308025 | + | 0.533515i | ||||
\(167\) | −6.00000 | + | 10.3923i | −0.464294 | + | 0.804181i | −0.999169 | − | 0.0407502i | \(-0.987025\pi\) |
0.534875 | + | 0.844931i | \(0.320359\pi\) | |||||||
\(168\) | −4.82288 | − | 8.35347i | −0.372093 | − | 0.644484i | ||||
\(169\) | 4.50000 | + | 7.79423i | 0.346154 | + | 0.599556i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 11.2915 | 0.860969 | ||||||||
\(173\) | −3.00000 | − | 5.19615i | −0.228086 | − | 0.395056i | 0.729155 | − | 0.684349i | \(-0.239913\pi\) |
−0.957241 | + | 0.289292i | \(0.906580\pi\) | |||||||
\(174\) | 2.17712 | + | 3.77089i | 0.165047 | + | 0.285870i | ||||
\(175\) | 4.17712 | − | 7.23499i | 0.315761 | − | 0.546914i | ||||
\(176\) | 2.32288 | + | 4.02334i | 0.175093 | + | 0.303271i | ||||
\(177\) | 10.5000 | − | 18.1865i | 0.789228 | − | 1.36698i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.06275 | −0.303664 | −0.151832 | − | 0.988406i | \(-0.548517\pi\) | ||||
−0.151832 | + | 0.988406i | \(0.548517\pi\) | |||||||
\(180\) | 3.29150 | − | 5.70105i | 0.245334 | − | 0.424931i | ||||
\(181\) | 11.1144 | − | 19.2507i | 0.826125 | − | 1.43089i | −0.0749311 | − | 0.997189i | \(-0.523874\pi\) |
0.901056 | − | 0.433702i | \(-0.142793\pi\) | |||||||
\(182\) | 7.29150 | 0.540482 | ||||||||
\(183\) | −2.47974 | −0.183308 | ||||||||
\(184\) | −0.822876 | + | 1.42526i | −0.0606632 | + | 0.105072i | ||||
\(185\) | −0.291503 | − | 0.504897i | −0.0214317 | − | 0.0371208i | ||||
\(186\) | −7.46863 | + | 12.9360i | −0.547626 | + | 0.948517i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −2.17712 | − | 3.77089i | −0.158783 | − | 0.275020i | ||||
\(189\) | −9.64575 | −0.701625 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.58301 | 0.476330 | 0.238165 | − | 0.971225i | \(-0.423454\pi\) | ||||
0.238165 | + | 0.971225i | \(0.423454\pi\) | |||||||
\(192\) | 1.32288 | + | 2.29129i | 0.0954703 | + | 0.165359i | ||||
\(193\) | 7.29150 | + | 12.6293i | 0.524854 | + | 0.909074i | 0.999581 | + | 0.0289406i | \(0.00921336\pi\) |
−0.474727 | + | 0.880133i | \(0.657453\pi\) | |||||||
\(194\) | 1.85425 | − | 3.21165i | 0.133127 | − | 0.230583i | ||||
\(195\) | 4.35425 | + | 7.54178i | 0.311814 | + | 0.540078i | ||||
\(196\) | −3.14575 | + | 5.44860i | −0.224697 | + | 0.389186i | ||||
\(197\) | −7.64575 | −0.544737 | −0.272369 | − | 0.962193i | \(-0.587807\pi\) | ||||
−0.272369 | + | 0.962193i | \(0.587807\pi\) | |||||||
\(198\) | 18.5830 | 1.32064 | ||||||||
\(199\) | 9.93725 | − | 17.2118i | 0.704433 | − | 1.22011i | −0.262462 | − | 0.964942i | \(-0.584535\pi\) |
0.966896 | − | 0.255172i | \(-0.0821321\pi\) | |||||||
\(200\) | −1.14575 | + | 1.98450i | −0.0810169 | + | 0.140325i | ||||
\(201\) | 1.70850 | 0.120508 | ||||||||
\(202\) | 13.6458 | 0.960112 | ||||||||
\(203\) | 3.00000 | − | 5.19615i | 0.210559 | − | 0.364698i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.239870 | − | 0.415468i | 0.0167533 | − | 0.0290175i | ||||
\(206\) | 6.64575 | + | 11.5108i | 0.463031 | + | 0.801994i | ||||
\(207\) | 3.29150 | + | 5.70105i | 0.228775 | + | 0.396250i | ||||
\(208\) | −2.00000 | −0.138675 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −15.8745 | −1.09545 | ||||||||
\(211\) | −6.64575 | − | 11.5108i | −0.457512 | − | 0.792435i | 0.541316 | − | 0.840819i | \(-0.317926\pi\) |
−0.998829 | + | 0.0483843i | \(0.984593\pi\) | |||||||
\(212\) | −6.29150 | − | 10.8972i | −0.432102 | − | 0.748423i | ||||
\(213\) | 3.58301 | − | 6.20595i | 0.245503 | − | 0.425224i | ||||
\(214\) | −7.64575 | − | 13.2428i | −0.522653 | − | 0.905261i | ||||
\(215\) | 9.29150 | − | 16.0934i | 0.633675 | − | 1.09756i | ||||
\(216\) | 2.64575 | 0.180021 | ||||||||
\(217\) | 20.5830 | 1.39727 | ||||||||
\(218\) | −7.29150 | + | 12.6293i | −0.493843 | + | 0.855361i | ||||
\(219\) | 2.26013 | − | 3.91466i | 0.152725 | − | 0.264528i | ||||
\(220\) | 7.64575 | 0.515476 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0.468627 | − | 0.811686i | 0.0314522 | − | 0.0544768i | ||||
\(223\) | −9.40588 | − | 16.2915i | −0.629864 | − | 1.09096i | −0.987579 | − | 0.157126i | \(-0.949777\pi\) |
0.357714 | − | 0.933831i | \(-0.383556\pi\) | |||||||
\(224\) | 1.82288 | − | 3.15731i | 0.121796 | − | 0.210957i | ||||
\(225\) | 4.58301 | + | 7.93800i | 0.305534 | + | 0.529200i | ||||
\(226\) | 7.79150 | + | 13.4953i | 0.518283 | + | 0.897693i | ||||
\(227\) | 7.35425 | 0.488119 | 0.244059 | − | 0.969760i | \(-0.421521\pi\) | ||||
0.244059 | + | 0.969760i | \(0.421521\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.0000 | 1.32164 | 0.660819 | − | 0.750546i | \(-0.270209\pi\) | ||||
0.660819 | + | 0.750546i | \(0.270209\pi\) | |||||||
\(230\) | 1.35425 | + | 2.34563i | 0.0892965 | + | 0.154666i | ||||
\(231\) | −22.4059 | − | 38.8081i | −1.47420 | − | 2.55339i | ||||
\(232\) | −0.822876 | + | 1.42526i | −0.0540244 | + | 0.0935731i | ||||
\(233\) | −9.43725 | − | 16.3458i | −0.618255 | − | 1.07085i | −0.989804 | − | 0.142436i | \(-0.954507\pi\) |
0.371549 | − | 0.928413i | \(-0.378827\pi\) | |||||||
\(234\) | −4.00000 | + | 6.92820i | −0.261488 | + | 0.452911i | ||||
\(235\) | −7.16601 | −0.467459 | ||||||||
\(236\) | 7.93725 | 0.516671 | ||||||||
\(237\) | 5.29150 | − | 9.16515i | 0.343720 | − | 0.595341i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.0000 | −0.776215 | −0.388108 | − | 0.921614i | \(-0.626871\pi\) | ||||
−0.388108 | + | 0.921614i | \(0.626871\pi\) | |||||||
\(240\) | 4.35425 | 0.281066 | ||||||||
\(241\) | −3.79150 | + | 6.56708i | −0.244232 | + | 0.423022i | −0.961915 | − | 0.273347i | \(-0.911869\pi\) |
0.717683 | + | 0.696370i | \(0.245203\pi\) | |||||||
\(242\) | 5.29150 | + | 9.16515i | 0.340151 | + | 0.589158i | ||||
\(243\) | −10.5830 | + | 18.3303i | −0.678900 | + | 1.17589i | ||||
\(244\) | −0.468627 | − | 0.811686i | −0.0300008 | − | 0.0519629i | ||||
\(245\) | 5.17712 | + | 8.96704i | 0.330754 | + | 0.572883i | ||||
\(246\) | 0.771243 | 0.0491727 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −5.64575 | −0.358506 | ||||||||
\(249\) | 10.5000 | + | 18.1865i | 0.665410 | + | 1.15252i | ||||
\(250\) | 6.00000 | + | 10.3923i | 0.379473 | + | 0.657267i | ||||
\(251\) | −14.6144 | + | 25.3128i | −0.922451 | + | 1.59773i | −0.126842 | + | 0.991923i | \(0.540484\pi\) |
−0.795610 | + | 0.605810i | \(0.792849\pi\) | |||||||
\(252\) | −7.29150 | − | 12.6293i | −0.459321 | − | 0.795568i | ||||
\(253\) | −3.82288 | + | 6.62141i | −0.240342 | + | 0.416285i | ||||
\(254\) | −13.2915 | −0.833983 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 6.14575 | − | 10.6448i | 0.383361 | − | 0.664001i | −0.608179 | − | 0.793800i | \(-0.708100\pi\) |
0.991540 | + | 0.129798i | \(0.0414330\pi\) | |||||||
\(258\) | 29.8745 | 1.85991 | ||||||||
\(259\) | −1.29150 | −0.0802501 | ||||||||
\(260\) | −1.64575 | + | 2.85052i | −0.102065 | + | 0.176782i | ||||
\(261\) | 3.29150 | + | 5.70105i | 0.203739 | + | 0.352886i | ||||
\(262\) | 0.968627 | − | 1.67771i | 0.0598420 | − | 0.103649i | ||||
\(263\) | 5.46863 | + | 9.47194i | 0.337210 | + | 0.584065i | 0.983907 | − | 0.178682i | \(-0.0571834\pi\) |
−0.646697 | + | 0.762747i | \(0.723850\pi\) | |||||||
\(264\) | 6.14575 | + | 10.6448i | 0.378245 | + | 0.655139i | ||||
\(265\) | −20.7085 | −1.27211 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.322876 | + | 0.559237i | 0.0197228 | + | 0.0341608i | ||||
\(269\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(270\) | 2.17712 | − | 3.77089i | 0.132496 | − | 0.229489i | ||||
\(271\) | −6.17712 | − | 10.6991i | −0.375234 | − | 0.649924i | 0.615128 | − | 0.788427i | \(-0.289104\pi\) |
−0.990362 | + | 0.138503i | \(0.955771\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 19.2915 | 1.16757 | ||||||||
\(274\) | −15.5830 | −0.941404 | ||||||||
\(275\) | −5.32288 | + | 9.21949i | −0.320981 | + | 0.555956i | ||||
\(276\) | −2.17712 | + | 3.77089i | −0.131047 | + | 0.226981i | ||||
\(277\) | −27.5203 | −1.65353 | −0.826766 | − | 0.562546i | \(-0.809822\pi\) | ||||
−0.826766 | + | 0.562546i | \(0.809822\pi\) | |||||||
\(278\) | −18.6458 | −1.11830 | ||||||||
\(279\) | −11.2915 | + | 19.5575i | −0.676005 | + | 1.17087i | ||||
\(280\) | −3.00000 | − | 5.19615i | −0.179284 | − | 0.310530i | ||||
\(281\) | 12.7288 | − | 22.0469i | 0.759334 | − | 1.31520i | −0.183857 | − | 0.982953i | \(-0.558858\pi\) |
0.943191 | − | 0.332252i | \(-0.107808\pi\) | |||||||
\(282\) | −5.76013 | − | 9.97684i | −0.343011 | − | 0.594112i | ||||
\(283\) | −15.3229 | − | 26.5400i | −0.910850 | − | 1.57764i | −0.812866 | − | 0.582451i | \(-0.802094\pi\) |
−0.0979848 | − | 0.995188i | \(-0.531240\pi\) | |||||||
\(284\) | 2.70850 | 0.160720 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.29150 | −0.549418 | ||||||||
\(287\) | −0.531373 | − | 0.920365i | −0.0313660 | − | 0.0543274i | ||||
\(288\) | 2.00000 | + | 3.46410i | 0.117851 | + | 0.204124i | ||||
\(289\) | 8.50000 | − | 14.7224i | 0.500000 | − | 0.866025i | ||||
\(290\) | 1.35425 | + | 2.34563i | 0.0795242 | + | 0.137740i | ||||
\(291\) | 4.90588 | − | 8.49723i | 0.287588 | − | 0.498117i | ||||
\(292\) | 1.70850 | 0.0999822 | ||||||||
\(293\) | −28.9373 | −1.69053 | −0.845266 | − | 0.534345i | \(-0.820558\pi\) | ||||
−0.845266 | + | 0.534345i | \(0.820558\pi\) | |||||||
\(294\) | −8.32288 | + | 14.4156i | −0.485400 | + | 0.840737i | ||||
\(295\) | 6.53137 | − | 11.3127i | 0.380271 | − | 0.658649i | ||||
\(296\) | 0.354249 | 0.0205903 | ||||||||
\(297\) | 12.2915 | 0.713225 | ||||||||
\(298\) | 5.46863 | − | 9.47194i | 0.316789 | − | 0.548695i | ||||
\(299\) | −1.64575 | − | 2.85052i | −0.0951763 | − | 0.164850i | ||||
\(300\) | −3.03137 | + | 5.25049i | −0.175016 | + | 0.303137i | ||||
\(301\) | −20.5830 | − | 35.6508i | −1.18638 | − | 2.05488i | ||||
\(302\) | −6.46863 | − | 11.2040i | −0.372228 | − | 0.644717i | ||||
\(303\) | 36.1033 | 2.07408 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.54249 | −0.0883225 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.322876 | + | 0.559237i | 0.0184275 | + | 0.0319173i | 0.875092 | − | 0.483956i | \(-0.160801\pi\) |
−0.856665 | + | 0.515874i | \(0.827467\pi\) | |||||||
\(308\) | 8.46863 | − | 14.6681i | 0.482545 | − | 0.835792i | ||||
\(309\) | 17.5830 | + | 30.4547i | 1.00026 | + | 1.73250i | ||||
\(310\) | −4.64575 | + | 8.04668i | −0.263861 | + | 0.457021i | ||||
\(311\) | 13.6458 | 0.773780 | 0.386890 | − | 0.922126i | \(-0.373549\pi\) | ||||
0.386890 | + | 0.922126i | \(0.373549\pi\) | |||||||
\(312\) | −5.29150 | −0.299572 | ||||||||
\(313\) | −4.43725 | + | 7.68555i | −0.250808 | + | 0.434413i | −0.963749 | − | 0.266812i | \(-0.914030\pi\) |
0.712940 | + | 0.701225i | \(0.247363\pi\) | |||||||
\(314\) | −5.29150 | + | 9.16515i | −0.298617 | + | 0.517219i | ||||
\(315\) | −24.0000 | −1.35225 | ||||||||
\(316\) | 4.00000 | 0.225018 | ||||||||
\(317\) | −3.00000 | + | 5.19615i | −0.168497 | + | 0.291845i | −0.937892 | − | 0.346929i | \(-0.887225\pi\) |
0.769395 | + | 0.638774i | \(0.220558\pi\) | |||||||
\(318\) | −16.6458 | − | 28.8313i | −0.933447 | − | 1.61678i | ||||
\(319\) | −3.82288 | + | 6.62141i | −0.214040 | + | 0.370728i | ||||
\(320\) | 0.822876 | + | 1.42526i | 0.0460001 | + | 0.0796746i | ||||
\(321\) | −20.2288 | − | 35.0372i | −1.12906 | − | 1.95559i | ||||
\(322\) | 6.00000 | 0.334367 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −5.00000 | −0.277778 | ||||||||
\(325\) | −2.29150 | − | 3.96900i | −0.127110 | − | 0.220160i | ||||
\(326\) | 1.96863 | + | 3.40976i | 0.109032 | + | 0.188849i | ||||
\(327\) | −19.2915 | + | 33.4139i | −1.06682 | + | 1.84779i | ||||
\(328\) | 0.145751 | + | 0.252449i | 0.00804777 | + | 0.0139391i | ||||
\(329\) | −7.93725 | + | 13.7477i | −0.437595 | + | 0.757937i | ||||
\(330\) | 20.2288 | 1.11356 | ||||||||
\(331\) | −19.8118 | −1.08895 | −0.544476 | − | 0.838776i | \(-0.683272\pi\) | ||||
−0.544476 | + | 0.838776i | \(0.683272\pi\) | |||||||
\(332\) | −3.96863 | + | 6.87386i | −0.217807 | + | 0.377252i | ||||
\(333\) | 0.708497 | − | 1.22715i | 0.0388254 | − | 0.0672476i | ||||
\(334\) | −12.0000 | −0.656611 | ||||||||
\(335\) | 1.06275 | 0.0580640 | ||||||||
\(336\) | 4.82288 | − | 8.35347i | 0.263109 | − | 0.455719i | ||||
\(337\) | −4.85425 | − | 8.40781i | −0.264428 | − | 0.458002i | 0.702986 | − | 0.711204i | \(-0.251850\pi\) |
−0.967414 | + | 0.253202i | \(0.918516\pi\) | |||||||
\(338\) | −4.50000 | + | 7.79423i | −0.244768 | + | 0.423950i | ||||
\(339\) | 20.6144 | + | 35.7052i | 1.11962 | + | 1.93924i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −26.2288 | −1.42037 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.58301 | −0.139469 | ||||||||
\(344\) | 5.64575 | + | 9.77873i | 0.304399 | + | 0.527234i | ||||
\(345\) | 3.58301 | + | 6.20595i | 0.192903 | + | 0.334117i | ||||
\(346\) | 3.00000 | − | 5.19615i | 0.161281 | − | 0.279347i | ||||
\(347\) | 11.6144 | + | 20.1167i | 0.623492 | + | 1.07992i | 0.988830 | + | 0.149046i | \(0.0476201\pi\) |
−0.365338 | + | 0.930875i | \(0.619047\pi\) | |||||||
\(348\) | −2.17712 | + | 3.77089i | −0.116706 | + | 0.202141i | ||||
\(349\) | 21.1660 | 1.13299 | 0.566495 | − | 0.824065i | \(-0.308299\pi\) | ||||
0.566495 | + | 0.824065i | \(0.308299\pi\) | |||||||
\(350\) | 8.35425 | 0.446553 | ||||||||
\(351\) | −2.64575 | + | 4.58258i | −0.141220 | + | 0.244600i | ||||
\(352\) | −2.32288 | + | 4.02334i | −0.123810 | + | 0.214445i | ||||
\(353\) | 12.8745 | 0.685241 | 0.342620 | − | 0.939474i | \(-0.388686\pi\) | ||||
0.342620 | + | 0.939474i | \(0.388686\pi\) | |||||||
\(354\) | 21.0000 | 1.11614 | ||||||||
\(355\) | 2.22876 | − | 3.86032i | 0.118290 | − | 0.204884i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.03137 | − | 3.51844i | −0.107361 | − | 0.185955i | ||||
\(359\) | 2.46863 | + | 4.27579i | 0.130289 | + | 0.225667i | 0.923788 | − | 0.382904i | \(-0.125076\pi\) |
−0.793499 | + | 0.608572i | \(0.791743\pi\) | |||||||
\(360\) | 6.58301 | 0.346955 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 22.2288 | 1.16832 | ||||||||
\(363\) | 14.0000 | + | 24.2487i | 0.734809 | + | 1.27273i | ||||
\(364\) | 3.64575 | + | 6.31463i | 0.191089 | + | 0.330976i | ||||
\(365\) | 1.40588 | − | 2.43506i | 0.0735872 | − | 0.127457i | ||||
\(366\) | −1.23987 | − | 2.14752i | −0.0648091 | − | 0.112253i | ||||
\(367\) | −8.11438 | + | 14.0545i | −0.423567 | + | 0.733640i | −0.996285 | − | 0.0861125i | \(-0.972556\pi\) |
0.572718 | + | 0.819752i | \(0.305889\pi\) | |||||||
\(368\) | −1.64575 | −0.0857907 | ||||||||
\(369\) | 1.16601 | 0.0607001 | ||||||||
\(370\) | 0.291503 | − | 0.504897i | 0.0151545 | − | 0.0262484i | ||||
\(371\) | −22.9373 | + | 39.7285i | −1.19084 | + | 2.06260i | ||||
\(372\) | −14.9373 | −0.774461 | ||||||||
\(373\) | 4.00000 | 0.207112 | 0.103556 | − | 0.994624i | \(-0.466978\pi\) | ||||
0.103556 | + | 0.994624i | \(0.466978\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 15.8745 | + | 27.4955i | 0.819756 | + | 1.41986i | ||||
\(376\) | 2.17712 | − | 3.77089i | 0.112277 | − | 0.194469i | ||||
\(377\) | −1.64575 | − | 2.85052i | −0.0847605 | − | 0.146810i | ||||
\(378\) | −4.82288 | − | 8.35347i | −0.248062 | − | 0.429656i | ||||
\(379\) | −10.7085 | −0.550059 | −0.275029 | − | 0.961436i | \(-0.588688\pi\) | ||||
−0.275029 | + | 0.961436i | \(0.588688\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −35.1660 | −1.80161 | ||||||||
\(382\) | 3.29150 | + | 5.70105i | 0.168408 | + | 0.291691i | ||||
\(383\) | 2.76013 | + | 4.78068i | 0.141036 | + | 0.244282i | 0.927887 | − | 0.372861i | \(-0.121623\pi\) |
−0.786851 | + | 0.617143i | \(0.788290\pi\) | |||||||
\(384\) | −1.32288 | + | 2.29129i | −0.0675077 | + | 0.116927i | ||||
\(385\) | −13.9373 | − | 24.1400i | −0.710308 | − | 1.23029i | ||||
\(386\) | −7.29150 | + | 12.6293i | −0.371128 | + | 0.642812i | ||||
\(387\) | 45.1660 | 2.29592 | ||||||||
\(388\) | 3.70850 | 0.188270 | ||||||||
\(389\) | −6.00000 | + | 10.3923i | −0.304212 | + | 0.526911i | −0.977086 | − | 0.212847i | \(-0.931726\pi\) |
0.672874 | + | 0.739758i | \(0.265060\pi\) | |||||||
\(390\) | −4.35425 | + | 7.54178i | −0.220486 | + | 0.381893i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −6.29150 | −0.317769 | ||||||||
\(393\) | 2.56275 | − | 4.43881i | 0.129273 | − | 0.223908i | ||||
\(394\) | −3.82288 | − | 6.62141i | −0.192594 | − | 0.333582i | ||||
\(395\) | 3.29150 | − | 5.70105i | 0.165613 | − | 0.286851i | ||||
\(396\) | 9.29150 | + | 16.0934i | 0.466916 | + | 0.808721i | ||||
\(397\) | −10.5314 | − | 18.2409i | −0.528554 | − | 0.915483i | −0.999446 | − | 0.0332919i | \(-0.989401\pi\) |
0.470891 | − | 0.882191i | \(-0.343932\pi\) | |||||||
\(398\) | 19.8745 | 0.996219 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.29150 | −0.114575 | ||||||||
\(401\) | 13.7915 | + | 23.8876i | 0.688715 | + | 1.19289i | 0.972254 | + | 0.233928i | \(0.0751581\pi\) |
−0.283539 | + | 0.958961i | \(0.591509\pi\) | |||||||
\(402\) | 0.854249 | + | 1.47960i | 0.0426061 | + | 0.0737958i | ||||
\(403\) | 5.64575 | − | 9.77873i | 0.281235 | − | 0.487113i | ||||
\(404\) | 6.82288 | + | 11.8176i | 0.339451 | + | 0.587946i | ||||
\(405\) | −4.11438 | + | 7.12631i | −0.204445 | + | 0.354109i | ||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | 1.64575 | 0.0815769 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.79150 | + | 6.56708i | −0.187478 | + | 0.324721i | −0.944409 | − | 0.328774i | \(-0.893365\pi\) |
0.756931 | + | 0.653495i | \(0.226698\pi\) | |||||||
\(410\) | 0.479741 | 0.0236927 | ||||||||
\(411\) | −41.2288 | −2.03366 | ||||||||
\(412\) | −6.64575 | + | 11.5108i | −0.327413 | + | 0.567095i | ||||
\(413\) | −14.4686 | − | 25.0604i | −0.711955 | − | 1.23314i | ||||
\(414\) | −3.29150 | + | 5.70105i | −0.161769 | + | 0.280191i | ||||
\(415\) | 6.53137 | + | 11.3127i | 0.320612 | + | 0.555317i | ||||
\(416\) | −1.00000 | − | 1.73205i | −0.0490290 | − | 0.0849208i | ||||
\(417\) | −49.3320 | −2.41580 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −31.7490 | −1.55104 | −0.775520 | − | 0.631322i | \(-0.782512\pi\) | ||||
−0.775520 | + | 0.631322i | \(0.782512\pi\) | |||||||
\(420\) | −7.93725 | − | 13.7477i | −0.387298 | − | 0.670820i | ||||
\(421\) | −12.4059 | − | 21.4876i | −0.604626 | − | 1.04724i | −0.992111 | − | 0.125366i | \(-0.959989\pi\) |
0.387485 | − | 0.921876i | \(-0.373344\pi\) | |||||||
\(422\) | 6.64575 | − | 11.5108i | 0.323510 | − | 0.560336i | ||||
\(423\) | −8.70850 | − | 15.0836i | −0.423422 | − | 0.733388i | ||||
\(424\) | 6.29150 | − | 10.8972i | 0.305542 | − | 0.529215i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 7.16601 | 0.347194 | ||||||||
\(427\) | −1.70850 | + | 2.95920i | −0.0826800 | + | 0.143206i | ||||
\(428\) | 7.64575 | − | 13.2428i | 0.369571 | − | 0.640116i | ||||
\(429\) | −24.5830 | −1.18688 | ||||||||
\(430\) | 18.5830 | 0.896152 | ||||||||
\(431\) | 13.9373 | − | 24.1400i | 0.671334 | − | 1.16278i | −0.306192 | − | 0.951970i | \(-0.599055\pi\) |
0.977526 | − | 0.210815i | \(-0.0676117\pi\) | |||||||
\(432\) | 1.32288 | + | 2.29129i | 0.0636469 | + | 0.110240i | ||||
\(433\) | 8.93725 | − | 15.4798i | 0.429497 | − | 0.743911i | −0.567332 | − | 0.823489i | \(-0.692024\pi\) |
0.996829 | + | 0.0795788i | \(0.0253575\pi\) | |||||||
\(434\) | 10.2915 | + | 17.8254i | 0.494008 | + | 0.855647i | ||||
\(435\) | 3.58301 | + | 6.20595i | 0.171792 | + | 0.297552i | ||||
\(436\) | −14.5830 | −0.698399 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 4.52026 | 0.215986 | ||||||||
\(439\) | 5.40588 | + | 9.36326i | 0.258009 | + | 0.446884i | 0.965708 | − | 0.259629i | \(-0.0836004\pi\) |
−0.707700 | + | 0.706513i | \(0.750267\pi\) | |||||||
\(440\) | 3.82288 | + | 6.62141i | 0.182248 | + | 0.315664i | ||||
\(441\) | −12.5830 | + | 21.7944i | −0.599191 | + | 1.03783i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −5.32288 | + | 9.21949i | −0.252897 | + | 0.438031i | −0.964322 | − | 0.264731i | \(-0.914717\pi\) |
0.711425 | + | 0.702762i | \(0.248050\pi\) | |||||||
\(444\) | 0.937254 | 0.0444801 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 9.40588 | − | 16.2915i | 0.445381 | − | 0.771423i | ||||
\(447\) | 14.4686 | − | 25.0604i | 0.684343 | − | 1.18532i | ||||
\(448\) | 3.64575 | 0.172246 | ||||||||
\(449\) | 24.2915 | 1.14639 | 0.573193 | − | 0.819420i | \(-0.305704\pi\) | ||||
0.573193 | + | 0.819420i | \(0.305704\pi\) | |||||||
\(450\) | −4.58301 | + | 7.93800i | −0.216045 | + | 0.374201i | ||||
\(451\) | 0.677124 | + | 1.17281i | 0.0318845 | + | 0.0552256i | ||||
\(452\) | −7.79150 | + | 13.4953i | −0.366481 | + | 0.634765i | ||||
\(453\) | −17.1144 | − | 29.6430i | −0.804104 | − | 1.39275i | ||||
\(454\) | 3.67712 | + | 6.36897i | 0.172576 | + | 0.298910i | ||||
\(455\) | 12.0000 | 0.562569 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 32.8745 | 1.53780 | 0.768902 | − | 0.639366i | \(-0.220803\pi\) | ||||
0.768902 | + | 0.639366i | \(0.220803\pi\) | |||||||
\(458\) | 10.0000 | + | 17.3205i | 0.467269 | + | 0.809334i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.35425 | + | 2.34563i | −0.0631422 | + | 0.109365i | ||||
\(461\) | −9.58301 | − | 16.5983i | −0.446325 | − | 0.773058i | 0.551818 | − | 0.833964i | \(-0.313934\pi\) |
−0.998143 | + | 0.0609066i | \(0.980601\pi\) | |||||||
\(462\) | 22.4059 | − | 38.8081i | 1.04242 | − | 1.80552i | ||||
\(463\) | −38.4575 | −1.78727 | −0.893636 | − | 0.448792i | \(-0.851854\pi\) | ||||
−0.893636 | + | 0.448792i | \(0.851854\pi\) | |||||||
\(464\) | −1.64575 | −0.0764021 | ||||||||
\(465\) | −12.2915 | + | 21.2895i | −0.570005 | + | 0.987277i | ||||
\(466\) | 9.43725 | − | 16.3458i | 0.437172 | − | 0.757205i | ||||
\(467\) | −19.3542 | −0.895608 | −0.447804 | − | 0.894132i | \(-0.647794\pi\) | ||||
−0.447804 | + | 0.894132i | \(0.647794\pi\) | |||||||
\(468\) | −8.00000 | −0.369800 | ||||||||
\(469\) | 1.17712 | − | 2.03884i | 0.0543546 | − | 0.0941448i | ||||
\(470\) | −3.58301 | − | 6.20595i | −0.165272 | − | 0.286259i | ||||
\(471\) | −14.0000 | + | 24.2487i | −0.645086 | + | 1.11732i | ||||
\(472\) | 3.96863 | + | 6.87386i | 0.182671 | + | 0.316395i | ||||
\(473\) | 26.2288 | + | 45.4295i | 1.20600 | + | 2.08885i | ||||
\(474\) | 10.5830 | 0.486094 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −25.1660 | − | 43.5888i | −1.15227 | − | 1.99579i | ||||
\(478\) | −6.00000 | − | 10.3923i | −0.274434 | − | 0.475333i | ||||
\(479\) | −3.29150 | + | 5.70105i | −0.150393 | + | 0.260488i | −0.931372 | − | 0.364069i | \(-0.881387\pi\) |
0.780979 | + | 0.624557i | \(0.214720\pi\) | |||||||
\(480\) | 2.17712 | + | 3.77089i | 0.0993717 | + | 0.172117i | ||||
\(481\) | −0.354249 | + | 0.613577i | −0.0161523 | + | 0.0279767i | ||||
\(482\) | −7.58301 | −0.345396 | ||||||||
\(483\) | 15.8745 | 0.722315 | ||||||||
\(484\) | −5.29150 | + | 9.16515i | −0.240523 | + | 0.416598i | ||||
\(485\) | 3.05163 | − | 5.28558i | 0.138567 | − | 0.240006i | ||||
\(486\) | −21.1660 | −0.960110 | ||||||||
\(487\) | −4.22876 | −0.191623 | −0.0958116 | − | 0.995399i | \(-0.530545\pi\) | ||||
−0.0958116 | + | 0.995399i | \(0.530545\pi\) | |||||||
\(488\) | 0.468627 | − | 0.811686i | 0.0212137 | − | 0.0367433i | ||||
\(489\) | 5.20850 | + | 9.02138i | 0.235536 | + | 0.407961i | ||||
\(490\) | −5.17712 | + | 8.96704i | −0.233879 | + | 0.405090i | ||||
\(491\) | −19.6458 | − | 34.0274i | −0.886600 | − | 1.53564i | −0.843868 | − | 0.536550i | \(-0.819727\pi\) |
−0.0427320 | − | 0.999087i | \(-0.513606\pi\) | |||||||
\(492\) | 0.385622 | + | 0.667916i | 0.0173852 | + | 0.0301120i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 30.5830 | 1.37460 | ||||||||
\(496\) | −2.82288 | − | 4.88936i | −0.126751 | − | 0.219539i | ||||
\(497\) | −4.93725 | − | 8.55157i | −0.221466 | − | 0.383591i | ||||
\(498\) | −10.5000 | + | 18.1865i | −0.470516 | + | 0.814958i | ||||
\(499\) | 2.38562 | + | 4.13202i | 0.106795 | + | 0.184975i | 0.914470 | − | 0.404653i | \(-0.132608\pi\) |
−0.807675 | + | 0.589628i | \(0.799274\pi\) | |||||||
\(500\) | −6.00000 | + | 10.3923i | −0.268328 | + | 0.464758i | ||||
\(501\) | −31.7490 | −1.41844 | ||||||||
\(502\) | −29.2288 | −1.30454 | ||||||||
\(503\) | 20.4686 | − | 35.4527i | 0.912651 | − | 1.58076i | 0.102346 | − | 0.994749i | \(-0.467365\pi\) |
0.810305 | − | 0.586009i | \(-0.199302\pi\) | |||||||
\(504\) | 7.29150 | − | 12.6293i | 0.324789 | − | 0.562552i | ||||
\(505\) | 22.4575 | 0.999346 | ||||||||
\(506\) | −7.64575 | −0.339895 | ||||||||
\(507\) | −11.9059 | + | 20.6216i | −0.528759 | + | 0.915837i | ||||
\(508\) | −6.64575 | − | 11.5108i | −0.294858 | − | 0.510708i | ||||
\(509\) | −15.8745 | + | 27.4955i | −0.703625 | + | 1.21871i | 0.263560 | + | 0.964643i | \(0.415103\pi\) |
−0.967185 | + | 0.254072i | \(0.918230\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.11438 | − | 5.39426i | −0.137772 | − | 0.238628i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.2915 | 0.542155 | ||||||||
\(515\) | 10.9373 | + | 18.9439i | 0.481953 | + | 0.834767i | ||||
\(516\) | 14.9373 | + | 25.8721i | 0.657576 | + | 1.13895i | ||||
\(517\) | 10.1144 | − | 17.5186i | 0.444830 | − | 0.770468i | ||||
\(518\) | −0.645751 | − | 1.11847i | −0.0283727 | − | 0.0491429i | ||||
\(519\) | 7.93725 | − | 13.7477i | 0.348407 | − | 0.603458i | ||||
\(520\) | −3.29150 | −0.144342 | ||||||||
\(521\) | 11.7085 | 0.512959 | 0.256479 | − | 0.966550i | \(-0.417437\pi\) | ||||
0.256479 | + | 0.966550i | \(0.417437\pi\) | |||||||
\(522\) | −3.29150 | + | 5.70105i | −0.144065 | + | 0.249528i | ||||
\(523\) | −0.937254 | + | 1.62337i | −0.0409833 | + | 0.0709851i | −0.885789 | − | 0.464087i | \(-0.846382\pi\) |
0.844806 | + | 0.535072i | \(0.179716\pi\) | |||||||
\(524\) | 1.93725 | 0.0846293 | ||||||||
\(525\) | 22.1033 | 0.964666 | ||||||||
\(526\) | −5.46863 | + | 9.47194i | −0.238443 | + | 0.412996i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −6.14575 | + | 10.6448i | −0.267459 | + | 0.463253i | ||||
\(529\) | 10.1458 | + | 17.5730i | 0.441120 | + | 0.764042i | ||||
\(530\) | −10.3542 | − | 17.9341i | −0.449760 | − | 0.779007i | ||||
\(531\) | 31.7490 | 1.37779 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.583005 | −0.0252528 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.5830 | − | 21.7944i | −0.544011 | − | 0.942254i | ||||
\(536\) | −0.322876 | + | 0.559237i | −0.0139461 | + | 0.0241554i | ||||
\(537\) | −5.37451 | − | 9.30892i | −0.231927 | − | 0.401710i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −29.2288 | −1.25897 | ||||||||
\(540\) | 4.35425 | 0.187377 | ||||||||
\(541\) | −4.00000 | + | 6.92820i | −0.171973 | + | 0.297867i | −0.939110 | − | 0.343617i | \(-0.888348\pi\) |
0.767136 | + | 0.641484i | \(0.221681\pi\) | |||||||
\(542\) | 6.17712 | − | 10.6991i | 0.265330 | − | 0.459565i | ||||
\(543\) | 58.8118 | 2.52385 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −12.0000 | + | 20.7846i | −0.514024 | + | 0.890315i | ||||
\(546\) | 9.64575 | + | 16.7069i | 0.412800 | + | 0.714991i | ||||
\(547\) | 5.64575 | − | 9.77873i | 0.241395 | − | 0.418108i | −0.719717 | − | 0.694268i | \(-0.755728\pi\) |
0.961112 | + | 0.276159i | \(0.0890618\pi\) | |||||||
\(548\) | −7.79150 | − | 13.4953i | −0.332836 | − | 0.576490i | ||||
\(549\) | −1.87451 | − | 3.24674i | −0.0800020 | − | 0.138568i | ||||
\(550\) | −10.6458 | −0.453936 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −4.35425 | −0.185329 | ||||||||
\(553\) | −7.29150 | − | 12.6293i | −0.310066 | − | 0.537050i | ||||
\(554\) | −13.7601 | − | 23.8332i | −0.584612 | − | 1.01258i | ||||
\(555\) | 0.771243 | − | 1.33583i | 0.0327375 | − | 0.0567029i | ||||
\(556\) | −9.32288 | − | 16.1477i | −0.395378 | − | 0.684815i | ||||
\(557\) | 2.70850 | − | 4.69126i | 0.114763 | − | 0.198775i | −0.802922 | − | 0.596084i | \(-0.796723\pi\) |
0.917685 | + | 0.397309i | \(0.130056\pi\) | |||||||
\(558\) | −22.5830 | −0.956015 | ||||||||
\(559\) | −22.5830 | −0.955159 | ||||||||
\(560\) | 3.00000 | − | 5.19615i | 0.126773 | − | 0.219578i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 25.4575 | 1.07386 | ||||||||
\(563\) | −10.0627 | −0.424094 | −0.212047 | − | 0.977259i | \(-0.568013\pi\) | ||||
−0.212047 | + | 0.977259i | \(0.568013\pi\) | |||||||
\(564\) | 5.76013 | − | 9.97684i | 0.242545 | − | 0.420101i | ||||
\(565\) | 12.8229 | + | 22.2099i | 0.539462 | + | 0.934376i | ||||
\(566\) | 15.3229 | − | 26.5400i | 0.644069 | − | 1.11556i | ||||
\(567\) | 9.11438 | + | 15.7866i | 0.382768 | + | 0.662973i | ||||
\(568\) | 1.35425 | + | 2.34563i | 0.0568230 | + | 0.0984203i | ||||
\(569\) | −6.58301 | −0.275974 | −0.137987 | − | 0.990434i | \(-0.544063\pi\) | ||||
−0.137987 | + | 0.990434i | \(0.544063\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.81176 | 0.326912 | 0.163456 | − | 0.986551i | \(-0.447736\pi\) | ||||
0.163456 | + | 0.986551i | \(0.447736\pi\) | |||||||
\(572\) | −4.64575 | − | 8.04668i | −0.194249 | − | 0.336448i | ||||
\(573\) | 8.70850 | + | 15.0836i | 0.363803 | + | 0.630125i | ||||
\(574\) | 0.531373 | − | 0.920365i | 0.0221791 | − | 0.0384153i | ||||
\(575\) | −1.88562 | − | 3.26599i | −0.0786359 | − | 0.136201i | ||||
\(576\) | −2.00000 | + | 3.46410i | −0.0833333 | + | 0.144338i | ||||
\(577\) | 11.0000 | 0.457936 | 0.228968 | − | 0.973434i | \(-0.426465\pi\) | ||||
0.228968 | + | 0.973434i | \(0.426465\pi\) | |||||||
\(578\) | 17.0000 | 0.707107 | ||||||||
\(579\) | −19.2915 | + | 33.4139i | −0.801727 | + | 1.38863i | ||||
\(580\) | −1.35425 | + | 2.34563i | −0.0562321 | + | 0.0973969i | ||||
\(581\) | 28.9373 | 1.20052 | ||||||||
\(582\) | 9.81176 | 0.406711 | ||||||||
\(583\) | 29.2288 | − | 50.6257i | 1.21053 | − | 2.09670i | ||||
\(584\) | 0.854249 | + | 1.47960i | 0.0353491 | + | 0.0612264i | ||||
\(585\) | −6.58301 | + | 11.4021i | −0.272174 | + | 0.471419i | ||||
\(586\) | −14.4686 | − | 25.0604i | −0.597693 | − | 1.03524i | ||||
\(587\) | 7.06275 | + | 12.2330i | 0.291511 | + | 0.504911i | 0.974167 | − | 0.225828i | \(-0.0725088\pi\) |
−0.682656 | + | 0.730739i | \(0.739175\pi\) | |||||||
\(588\) | −16.6458 | −0.686459 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 13.0627 | 0.537785 | ||||||||
\(591\) | −10.1144 | − | 17.5186i | −0.416050 | − | 0.720620i | ||||
\(592\) | 0.177124 | + | 0.306788i | 0.00727977 | + | 0.0126089i | ||||
\(593\) | −14.8542 | + | 25.7283i | −0.609991 | + | 1.05654i | 0.381250 | + | 0.924472i | \(0.375494\pi\) |
−0.991241 | + | 0.132063i | \(0.957840\pi\) | |||||||
\(594\) | 6.14575 | + | 10.6448i | 0.252163 | + | 0.436760i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 10.9373 | 0.448007 | ||||||||
\(597\) | 52.5830 | 2.15208 | ||||||||
\(598\) | 1.64575 | − | 2.85052i | 0.0672998 | − | 0.116567i | ||||
\(599\) | −8.46863 | + | 14.6681i | −0.346019 | + | 0.599322i | −0.985538 | − | 0.169453i | \(-0.945800\pi\) |
0.639520 | + | 0.768775i | \(0.279133\pi\) | |||||||
\(600\) | −6.06275 | −0.247511 | ||||||||
\(601\) | −10.4170 | −0.424918 | −0.212459 | − | 0.977170i | \(-0.568147\pi\) | ||||
−0.212459 | + | 0.977170i | \(0.568147\pi\) | |||||||
\(602\) | 20.5830 | − | 35.6508i | 0.838901 | − | 1.45302i | ||||
\(603\) | 1.29150 | + | 2.23695i | 0.0525941 | + | 0.0910956i | ||||
\(604\) | 6.46863 | − | 11.2040i | 0.263205 | − | 0.455884i | ||||
\(605\) | 8.70850 | + | 15.0836i | 0.354051 | + | 0.613234i | ||||
\(606\) | 18.0516 | + | 31.2663i | 0.733297 | + | 1.27011i | ||||
\(607\) | −6.93725 | −0.281574 | −0.140787 | − | 0.990040i | \(-0.544963\pi\) | ||||
−0.140787 | + | 0.990040i | \(0.544963\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 15.8745 | 0.643268 | ||||||||
\(610\) | −0.771243 | − | 1.33583i | −0.0312267 | − | 0.0540863i | ||||
\(611\) | 4.35425 | + | 7.54178i | 0.176154 | + | 0.305108i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.70850 | − | 6.42331i | −0.149785 | − | 0.259435i | 0.781363 | − | 0.624077i | \(-0.214525\pi\) |
−0.931148 | + | 0.364642i | \(0.881191\pi\) | |||||||
\(614\) | −0.322876 | + | 0.559237i | −0.0130302 | + | 0.0225690i | ||||
\(615\) | 1.26927 | 0.0511821 | ||||||||
\(616\) | 16.9373 | 0.682421 | ||||||||
\(617\) | 15.4373 | − | 26.7381i | 0.621480 | − | 1.07644i | −0.367730 | − | 0.929933i | \(-0.619865\pi\) |
0.989210 | − | 0.146503i | \(-0.0468018\pi\) | |||||||
\(618\) | −17.5830 | + | 30.4547i | −0.707292 | + | 1.22507i | ||||
\(619\) | −8.45751 | −0.339936 | −0.169968 | − | 0.985450i | \(-0.554366\pi\) | ||||
−0.169968 | + | 0.985450i | \(0.554366\pi\) | |||||||
\(620\) | −9.29150 | −0.373156 | ||||||||
\(621\) | −2.17712 | + | 3.77089i | −0.0873650 | + | 0.151321i | ||||
\(622\) | 6.82288 | + | 11.8176i | 0.273572 | + | 0.473841i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −2.64575 | − | 4.58258i | −0.105915 | − | 0.183450i | ||||
\(625\) | 4.14575 | + | 7.18065i | 0.165830 | + | 0.287226i | ||||
\(626\) | −8.87451 | −0.354697 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.5830 | −0.422308 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −12.0000 | − | 20.7846i | −0.478091 | − | 0.828079i | ||||
\(631\) | 12.4059 | − | 21.4876i | 0.493870 | − | 0.855408i | −0.506105 | − | 0.862472i | \(-0.668915\pi\) |
0.999975 | + | 0.00706354i | \(0.00224841\pi\) | |||||||
\(632\) | 2.00000 | + | 3.46410i | 0.0795557 | + | 0.137795i | ||||
\(633\) | 17.5830 | − | 30.4547i | 0.698862 | − | 1.21046i | ||||
\(634\) | −6.00000 | −0.238290 | ||||||||
\(635\) | −21.8745 | −0.868063 | ||||||||
\(636\) | 16.6458 | − | 28.8313i | 0.660047 | − | 1.14323i | ||||
\(637\) | 6.29150 | − | 10.8972i | 0.249278 | − | 0.431763i | ||||
\(638\) | −7.64575 | −0.302698 | ||||||||
\(639\) | 10.8340 | 0.428586 | ||||||||
\(640\) | −0.822876 | + | 1.42526i | −0.0325270 | + | 0.0563384i | ||||
\(641\) | 6.43725 | + | 11.1497i | 0.254256 | + | 0.440385i | 0.964693 | − | 0.263376i | \(-0.0848360\pi\) |
−0.710437 | + | 0.703761i | \(0.751503\pi\) | |||||||
\(642\) | 20.2288 | − | 35.0372i | 0.798365 | − | 1.38281i | ||||
\(643\) | 3.26013 | + | 5.64671i | 0.128567 | + | 0.222685i | 0.923122 | − | 0.384508i | \(-0.125629\pi\) |
−0.794555 | + | 0.607193i | \(0.792296\pi\) | |||||||
\(644\) | 3.00000 | + | 5.19615i | 0.118217 | + | 0.204757i | ||||
\(645\) | 49.1660 | 1.93591 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −22.4575 | −0.882896 | −0.441448 | − | 0.897287i | \(-0.645535\pi\) | ||||
−0.441448 | + | 0.897287i | \(0.645535\pi\) | |||||||
\(648\) | −2.50000 | − | 4.33013i | −0.0982093 | − | 0.170103i | ||||
\(649\) | 18.4373 | + | 31.9343i | 0.723726 | + | 1.25353i | ||||
\(650\) | 2.29150 | − | 3.96900i | 0.0898801 | − | 0.155677i | ||||
\(651\) | 27.2288 | + | 47.1616i | 1.06718 | + | 1.84841i | ||||
\(652\) | −1.96863 | + | 3.40976i | −0.0770974 | + | 0.133537i | ||||
\(653\) | 24.0000 | 0.939193 | 0.469596 | − | 0.882881i | \(-0.344399\pi\) | ||||
0.469596 | + | 0.882881i | \(0.344399\pi\) | |||||||
\(654\) | −38.5830 | −1.50871 | ||||||||
\(655\) | 1.59412 | − | 2.76110i | 0.0622874 | − | 0.107885i | ||||
\(656\) | −0.145751 | + | 0.252449i | −0.00569063 | + | 0.00985646i | ||||
\(657\) | 6.83399 | 0.266619 | ||||||||
\(658\) | −15.8745 | −0.618853 | ||||||||
\(659\) | −9.29150 | + | 16.0934i | −0.361946 | + | 0.626908i | −0.988281 | − | 0.152646i | \(-0.951221\pi\) |
0.626335 | + | 0.779554i | \(0.284554\pi\) | |||||||
\(660\) | 10.1144 | + | 17.5186i | 0.393702 | + | 0.681911i | ||||
\(661\) | 8.11438 | − | 14.0545i | 0.315613 | − | 0.546657i | −0.663955 | − | 0.747773i | \(-0.731123\pi\) |
0.979568 | + | 0.201115i | \(0.0644566\pi\) | |||||||
\(662\) | −9.90588 | − | 17.1575i | −0.385003 | − | 0.666845i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.93725 | −0.308025 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.41699 | 0.0549074 | ||||||||
\(667\) | −1.35425 | − | 2.34563i | −0.0524367 | − | 0.0908231i | ||||
\(668\) | −6.00000 | − | 10.3923i | −0.232147 | − | 0.402090i | ||||
\(669\) | 24.8856 | − | 43.1032i | 0.962134 | − | 1.66646i | ||||
\(670\) | 0.531373 | + | 0.920365i | 0.0205287 | + | 0.0355568i | ||||
\(671\) | 2.17712 | − | 3.77089i | 0.0840470 | − | 0.145574i | ||||
\(672\) | 9.64575 | 0.372093 | ||||||||
\(673\) | 13.8745 | 0.534823 | 0.267411 | − | 0.963582i | \(-0.413832\pi\) | ||||
0.267411 | + | 0.963582i | \(0.413832\pi\) | |||||||
\(674\) | 4.85425 | − | 8.40781i | 0.186979 | − | 0.323857i | ||||
\(675\) | −3.03137 | + | 5.25049i | −0.116678 | + | 0.202092i | ||||
\(676\) | −9.00000 | −0.346154 | ||||||||
\(677\) | 11.4170 | 0.438791 | 0.219395 | − | 0.975636i | \(-0.429592\pi\) | ||||
0.219395 | + | 0.975636i | \(0.429592\pi\) | |||||||
\(678\) | −20.6144 | + | 35.7052i | −0.791690 | + | 1.37125i | ||||
\(679\) | −6.76013 | − | 11.7089i | −0.259430 | − | 0.449346i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.72876 | + | 16.8507i | 0.372807 | + | 0.645720i | ||||
\(682\) | −13.1144 | − | 22.7148i | −0.502175 | − | 0.869793i | ||||
\(683\) | 5.41699 | 0.207276 | 0.103638 | − | 0.994615i | \(-0.466952\pi\) | ||||
0.103638 | + | 0.994615i | \(0.466952\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −25.6458 | −0.979874 | ||||||||
\(686\) | −1.29150 | − | 2.23695i | −0.0493098 | − | 0.0854071i | ||||
\(687\) | 26.4575 | + | 45.8258i | 1.00942 | + | 1.74836i | ||||
\(688\) | −5.64575 | + | 9.77873i | −0.215242 | + | 0.372811i | ||||
\(689\) | 12.5830 | + | 21.7944i | 0.479374 | + | 0.830301i | ||||
\(690\) | −3.58301 | + | 6.20595i | −0.136403 | + | 0.236256i | ||||
\(691\) | 2.58301 | 0.0982622 | 0.0491311 | − | 0.998792i | \(-0.484355\pi\) | ||||
0.0491311 | + | 0.998792i | \(0.484355\pi\) | |||||||
\(692\) | 6.00000 | 0.228086 | ||||||||
\(693\) | 33.8745 | − | 58.6724i | 1.28679 | − | 2.22878i | ||||
\(694\) | −11.6144 | + | 20.1167i | −0.440876 | + | 0.763619i | ||||
\(695\) | −30.6863 | −1.16400 | ||||||||
\(696\) | −4.35425 | −0.165047 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 10.5830 | + | 18.3303i | 0.400573 | + | 0.693812i | ||||
\(699\) | 24.9686 | − | 43.2469i | 0.944400 | − | 1.63575i | ||||
\(700\) | 4.17712 | + | 7.23499i | 0.157880 | + | 0.273457i | ||||
\(701\) | −5.17712 | − | 8.96704i | −0.195537 | − | 0.338681i | 0.751539 | − | 0.659688i | \(-0.229312\pi\) |
−0.947077 | + | 0.321008i | \(0.895978\pi\) | |||||||
\(702\) | −5.29150 | −0.199715 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −4.64575 | −0.175093 | ||||||||
\(705\) | −9.47974 | − | 16.4194i | −0.357028 | − | 0.618390i | ||||
\(706\) | 6.43725 | + | 11.1497i | 0.242269 | + | 0.419623i | ||||
\(707\) | 24.8745 | − | 43.0839i | 0.935502 | − | 1.62034i | ||||
\(708\) | 10.5000 | + | 18.1865i | 0.394614 | + | 0.683492i | ||||
\(709\) | −1.82288 | + | 3.15731i | −0.0684595 | + | 0.118575i | −0.898223 | − | 0.439539i | \(-0.855142\pi\) |
0.829764 | + | 0.558115i | \(0.188475\pi\) | |||||||
\(710\) | 4.45751 | 0.167287 | ||||||||
\(711\) | 16.0000 | 0.600047 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.64575 | − | 8.04668i | 0.173985 | − | 0.301350i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −15.2915 | −0.571870 | ||||||||
\(716\) | 2.03137 | − | 3.51844i | 0.0759160 | − | 0.131490i | ||||
\(717\) | −15.8745 | − | 27.4955i | −0.592844 | − | 1.02684i | ||||
\(718\) | −2.46863 | + | 4.27579i | −0.0921283 | + | 0.159571i | ||||
\(719\) | −1.35425 | − | 2.34563i | −0.0505050 | − | 0.0874771i | 0.839668 | − | 0.543100i | \(-0.182750\pi\) |
−0.890173 | + | 0.455623i | \(0.849416\pi\) | |||||||
\(720\) | 3.29150 | + | 5.70105i | 0.122667 | + | 0.212466i | ||||
\(721\) | 48.4575 | 1.80465 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −20.0627 | −0.746142 | ||||||||
\(724\) | 11.1144 | + | 19.2507i | 0.413063 | + | 0.715445i | ||||
\(725\) | −1.88562 | − | 3.26599i | −0.0700302 | − | 0.121296i | ||||
\(726\) | −14.0000 | + | 24.2487i | −0.519589 | + | 0.899954i | ||||
\(727\) | −0.708497 | − | 1.22715i | −0.0262767 | − | 0.0455126i | 0.852588 | − | 0.522584i | \(-0.175032\pi\) |
−0.878865 | + | 0.477071i | \(0.841698\pi\) | |||||||
\(728\) | −3.64575 | + | 6.31463i | −0.135121 | + | 0.234036i | ||||
\(729\) | −41.0000 | −1.51852 | ||||||||
\(730\) | 2.81176 | 0.104068 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 1.23987 | − | 2.14752i | 0.0458269 | − | 0.0793746i | ||||
\(733\) | −16.1033 | −0.594788 | −0.297394 | − | 0.954755i | \(-0.596117\pi\) | ||||
−0.297394 | + | 0.954755i | \(0.596117\pi\) | |||||||
\(734\) | −16.2288 | −0.599014 | ||||||||
\(735\) | −13.6974 | + | 23.7246i | −0.505236 | + | 0.875094i | ||||
\(736\) | −0.822876 | − | 1.42526i | −0.0303316 | − | 0.0525359i | ||||
\(737\) | −1.50000 | + | 2.59808i | −0.0552532 | + | 0.0957014i | ||||
\(738\) | 0.583005 | + | 1.00979i | 0.0214607 | + | 0.0371711i | ||||
\(739\) | 16.9059 | + | 29.2818i | 0.621893 | + | 1.07715i | 0.989133 | + | 0.147024i | \(0.0469694\pi\) |
−0.367240 | + | 0.930126i | \(0.619697\pi\) | |||||||
\(740\) | 0.583005 | 0.0214317 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −45.8745 | −1.68411 | ||||||||
\(743\) | −23.7601 | − | 41.1538i | −0.871675 | − | 1.50978i | −0.860263 | − | 0.509850i | \(-0.829701\pi\) |
−0.0114112 | − | 0.999935i | \(-0.503632\pi\) | |||||||
\(744\) | −7.46863 | − | 12.9360i | −0.273813 | − | 0.474258i | ||||
\(745\) | 9.00000 | − | 15.5885i | 0.329734 | − | 0.571117i | ||||
\(746\) | 2.00000 | + | 3.46410i | 0.0732252 | + | 0.126830i | ||||
\(747\) | −15.8745 | + | 27.4955i | −0.580818 | + | 1.00601i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −55.7490 | −2.03702 | ||||||||
\(750\) | −15.8745 | + | 27.4955i | −0.579655 | + | 1.00399i | ||||
\(751\) | −3.93725 | + | 6.81952i | −0.143672 | + | 0.248848i | −0.928877 | − | 0.370389i | \(-0.879225\pi\) |
0.785204 | + | 0.619237i | \(0.212558\pi\) | |||||||
\(752\) | 4.35425 | 0.158783 | ||||||||
\(753\) | −77.3320 | −2.81814 | ||||||||
\(754\) | 1.64575 | − | 2.85052i | 0.0599347 | − | 0.103810i | ||||
\(755\) | −10.6458 | − | 18.4390i | −0.387439 | − | 0.671063i | ||||
\(756\) | 4.82288 | − | 8.35347i | 0.175406 | − | 0.303813i | ||||
\(757\) | 2.29150 | + | 3.96900i | 0.0832861 | + | 0.144256i | 0.904660 | − | 0.426135i | \(-0.140125\pi\) |
−0.821374 | + | 0.570391i | \(0.806792\pi\) | |||||||
\(758\) | −5.35425 | − | 9.27383i | −0.194475 | − | 0.336841i | ||||
\(759\) | −20.2288 | −0.734257 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 42.8745 | 1.55420 | 0.777100 | − | 0.629377i | \(-0.216690\pi\) | ||||
0.777100 | + | 0.629377i | \(0.216690\pi\) | |||||||
\(762\) | −17.5830 | − | 30.4547i | −0.636965 | − | 1.10326i | ||||
\(763\) | 26.5830 | + | 46.0431i | 0.962369 | + | 1.66687i | ||||
\(764\) | −3.29150 | + | 5.70105i | −0.119082 | + | 0.206257i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.76013 | + | 4.78068i | −0.0997275 | + | 0.172733i | ||||
\(767\) | −15.8745 | −0.573195 | ||||||||
\(768\) | −2.64575 | −0.0954703 | ||||||||
\(769\) | −17.6458 | + | 30.5633i | −0.636322 | + | 1.10214i | 0.349911 | + | 0.936783i | \(0.386212\pi\) |
−0.986233 | + | 0.165359i | \(0.947122\pi\) | |||||||
\(770\) | 13.9373 | − | 24.1400i | 0.502264 | − | 0.869946i | ||||
\(771\) | 32.5203 | 1.17119 | ||||||||
\(772\) | −14.5830 | −0.524854 | ||||||||
\(773\) | −2.46863 | + | 4.27579i | −0.0887903 | + | 0.153789i | −0.907000 | − | 0.421130i | \(-0.861633\pi\) |
0.818210 | + | 0.574920i | \(0.194967\pi\) | |||||||
\(774\) | 22.5830 | + | 39.1149i | 0.811729 | + | 1.40596i | ||||
\(775\) | 6.46863 | − | 11.2040i | 0.232360 | − | 0.402459i | ||||
\(776\) | 1.85425 | + | 3.21165i | 0.0665636 | + | 0.115292i | ||||
\(777\) | −1.70850 | − | 2.95920i | −0.0612920 | − | 0.106161i | ||||
\(778\) | −12.0000 | −0.430221 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −8.70850 | −0.311814 | ||||||||
\(781\) | 6.29150 | + | 10.8972i | 0.225128 | + | 0.389933i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.17712 | + | 3.77089i | −0.0778041 | + | 0.134761i | ||||
\(784\) | −3.14575 | − | 5.44860i | −0.112348 | − | 0.194593i | ||||
\(785\) | −8.70850 | + | 15.0836i | −0.310820 | + | 0.538355i | ||||
\(786\) | 5.12549 | 0.182820 | ||||||||
\(787\) | 42.5203 | 1.51568 | 0.757842 | − | 0.652438i | \(-0.226254\pi\) | ||||
0.757842 | + | 0.652438i | \(0.226254\pi\) | |||||||
\(788\) | 3.82288 | − | 6.62141i | 0.136184 | − | 0.235878i | ||||
\(789\) | −14.4686 | + | 25.0604i | −0.515097 | + | 0.892174i | ||||
\(790\) | 6.58301 | 0.234213 | ||||||||
\(791\) | 56.8118 | 2.01999 | ||||||||
\(792\) | −9.29150 | + | 16.0934i | −0.330159 | + | 0.571852i | ||||
\(793\) | 0.937254 | + | 1.62337i | 0.0332829 | + | 0.0576476i | ||||
\(794\) | 10.5314 | − | 18.2409i | 0.373744 | − | 0.647344i | ||||
\(795\) | −27.3948 | − | 47.4491i | −0.971592 | − | 1.68285i | ||||
\(796\) | 9.93725 | + | 17.2118i | 0.352217 | + | 0.610057i | ||||
\(797\) | 44.8118 | 1.58731 | 0.793657 | − | 0.608365i | \(-0.208174\pi\) | ||||
0.793657 | + | 0.608365i | \(0.208174\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −1.14575 | − | 1.98450i | −0.0405084 | − | 0.0701627i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −13.7915 | + | 23.8876i | −0.486995 | + | 0.843500i | ||||
\(803\) | 3.96863 | + | 6.87386i | 0.140050 | + | 0.242573i | ||||
\(804\) | −0.854249 | + | 1.47960i | −0.0301270 | + | 0.0521815i | ||||
\(805\) | 9.87451 | 0.348031 | ||||||||
\(806\) | 11.2915 | 0.397726 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −6.82288 | + | 11.8176i | −0.240028 | + | 0.415741i | ||||
\(809\) | −9.00000 | −0.316423 | −0.158212 | − | 0.987405i | \(-0.550573\pi\) | ||||
−0.158212 | + | 0.987405i | \(0.550573\pi\) | |||||||
\(810\) | −8.22876 | −0.289129 | ||||||||
\(811\) | −15.6458 | + | 27.0992i | −0.549397 | + | 0.951583i | 0.448919 | + | 0.893572i | \(0.351809\pi\) |
−0.998316 | + | 0.0580106i | \(0.981524\pi\) | |||||||
\(812\) | 3.00000 | + | 5.19615i | 0.105279 | + | 0.182349i | ||||
\(813\) | 16.3431 | − | 28.3071i | 0.573179 | − | 0.992775i | ||||
\(814\) | 0.822876 | + | 1.42526i | 0.0288418 | + | 0.0499554i | ||||
\(815\) | 3.23987 | + | 5.61162i | 0.113488 | + | 0.196566i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −7.58301 | −0.265134 | ||||||||
\(819\) | 14.5830 | + | 25.2585i | 0.509571 | + | 0.882604i | ||||
\(820\) | 0.239870 | + | 0.415468i | 0.00837664 | + | 0.0145088i | ||||
\(821\) | 3.00000 | − | 5.19615i | 0.104701 | − | 0.181347i | −0.808915 | − | 0.587925i | \(-0.799945\pi\) |
0.913616 | + | 0.406578i | \(0.133278\pi\) | |||||||
\(822\) | −20.6144 | − | 35.7052i | −0.719009 | − | 1.24536i | ||||
\(823\) | 15.9373 | − | 27.6041i | 0.555538 | − | 0.962220i | −0.442324 | − | 0.896855i | \(-0.645846\pi\) |
0.997861 | − | 0.0653641i | \(-0.0208209\pi\) | |||||||
\(824\) | −13.2915 | −0.463031 | ||||||||
\(825\) | −28.1660 | −0.980615 | ||||||||
\(826\) | 14.4686 | − | 25.0604i | 0.503428 | − | 0.871963i | ||||
\(827\) | −26.3229 | + | 45.5926i | −0.915336 | + | 1.58541i | −0.108928 | + | 0.994050i | \(0.534742\pi\) |
−0.806408 | + | 0.591359i | \(0.798592\pi\) | |||||||
\(828\) | −6.58301 | −0.228775 | ||||||||
\(829\) | 17.1660 | 0.596200 | 0.298100 | − | 0.954535i | \(-0.403647\pi\) | ||||
0.298100 | + | 0.954535i | \(0.403647\pi\) | |||||||
\(830\) | −6.53137 | + | 11.3127i | −0.226707 | + | 0.392669i | ||||
\(831\) | −36.4059 | − | 63.0568i | −1.26291 | − | 2.18742i | ||||
\(832\) | 1.00000 | − | 1.73205i | 0.0346688 | − | 0.0600481i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −24.6660 | − | 42.7228i | −0.854114 | − | 1.47937i | ||||
\(835\) | −19.7490 | −0.683443 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −14.9373 | −0.516307 | ||||||||
\(838\) | −15.8745 | − | 27.4955i | −0.548376 | − | 0.949815i | ||||
\(839\) | −20.7601 | − | 35.9576i | −0.716719 | − | 1.24139i | −0.962293 | − | 0.272016i | \(-0.912310\pi\) |
0.245573 | − | 0.969378i | \(-0.421024\pi\) | |||||||
\(840\) | 7.93725 | − | 13.7477i | 0.273861 | − | 0.474342i | ||||
\(841\) | 13.1458 | + | 22.7691i | 0.453302 | + | 0.785142i | ||||
\(842\) | 12.4059 | − | 21.4876i | 0.427535 | − | 0.740512i | ||||
\(843\) | 67.3542 | 2.31980 | ||||||||
\(844\) | 13.2915 | 0.457512 | ||||||||
\(845\) | −7.40588 | + | 12.8274i | −0.254770 | + | 0.441275i | ||||
\(846\) | 8.70850 | − | 15.0836i | 0.299404 | − | 0.518583i | ||||
\(847\) | 38.5830 | 1.32573 | ||||||||
\(848\) | 12.5830 | 0.432102 | ||||||||
\(849\) | 40.5405 | − | 70.2182i | 1.39135 | − | 2.40988i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.291503 | + | 0.504897i | −0.00999258 | + | 0.0173077i | ||||
\(852\) | 3.58301 | + | 6.20595i | 0.122752 | + | 0.212612i | ||||
\(853\) | −4.29150 | − | 7.43310i | −0.146938 | − | 0.254505i | 0.783156 | − | 0.621825i | \(-0.213609\pi\) |
−0.930094 | + | 0.367321i | \(0.880275\pi\) | |||||||
\(854\) | −3.41699 | −0.116927 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 15.2915 | 0.522653 | ||||||||
\(857\) | 10.5000 | + | 18.1865i | 0.358673 | + | 0.621240i | 0.987739 | − | 0.156112i | \(-0.0498959\pi\) |
−0.629066 | + | 0.777352i | \(0.716563\pi\) | |||||||
\(858\) | −12.2915 | − | 21.2895i | −0.419625 | − | 0.726812i | ||||
\(859\) | −6.61438 | + | 11.4564i | −0.225680 | + | 0.390889i | −0.956523 | − | 0.291656i | \(-0.905794\pi\) |
0.730843 | + | 0.682545i | \(0.239127\pi\) | |||||||
\(860\) | 9.29150 | + | 16.0934i | 0.316838 | + | 0.548779i | ||||
\(861\) | 1.40588 | − | 2.43506i | 0.0479123 | − | 0.0829865i | ||||
\(862\) | 27.8745 | 0.949410 | ||||||||
\(863\) | 31.0627 | 1.05739 | 0.528694 | − | 0.848812i | \(-0.322682\pi\) | ||||
0.528694 | + | 0.848812i | \(0.322682\pi\) | |||||||
\(864\) | −1.32288 | + | 2.29129i | −0.0450051 | + | 0.0779512i | ||||
\(865\) | 4.93725 | − | 8.55157i | 0.167872 | − | 0.290762i | ||||
\(866\) | 17.8745 | 0.607401 | ||||||||
\(867\) | 44.9778 | 1.52753 | ||||||||
\(868\) | −10.2915 | + | 17.8254i | −0.349316 | + | 0.605034i | ||||
\(869\) | 9.29150 | + | 16.0934i | 0.315193 | + | 0.545930i | ||||
\(870\) | −3.58301 | + | 6.20595i | −0.121475 | + | 0.210401i | ||||
\(871\) | −0.645751 | − | 1.11847i | −0.0218804 | − | 0.0378980i | ||||
\(872\) | −7.29150 | − | 12.6293i | −0.246921 | − | 0.427680i | ||||
\(873\) | 14.8340 | 0.502054 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 43.7490 | 1.47899 | ||||||||
\(876\) | 2.26013 | + | 3.91466i | 0.0763627 | + | 0.132264i | ||||
\(877\) | −20.8229 | − | 36.0663i | −0.703139 | − | 1.21787i | −0.967359 | − | 0.253409i | \(-0.918448\pi\) |
0.264221 | − | 0.964462i | \(-0.414885\pi\) | |||||||
\(878\) | −5.40588 | + | 9.36326i | −0.182440 | + | 0.315995i | ||||
\(879\) | −38.2804 | − | 66.3036i | −1.29117 | − | 2.23636i | ||||
\(880\) | −3.82288 | + | 6.62141i | −0.128869 | + | 0.223208i | ||||
\(881\) | −36.8745 | −1.24233 | −0.621167 | − | 0.783678i | \(-0.713341\pi\) | ||||
−0.621167 | + | 0.783678i | \(0.713341\pi\) | |||||||
\(882\) | −25.1660 | −0.847384 | ||||||||
\(883\) | 14.1974 | − | 24.5906i | 0.477780 | − | 0.827539i | −0.521896 | − | 0.853009i | \(-0.674775\pi\) |
0.999676 | + | 0.0254701i | \(0.00810828\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 34.5608 | 1.16175 | ||||||||
\(886\) | −10.6458 | −0.357651 | ||||||||
\(887\) | −8.70850 | + | 15.0836i | −0.292403 | + | 0.506456i | −0.974377 | − | 0.224919i | \(-0.927788\pi\) |
0.681975 | + | 0.731376i | \(0.261121\pi\) | |||||||
\(888\) | 0.468627 | + | 0.811686i | 0.0157261 | + | 0.0272384i | ||||
\(889\) | −24.2288 | + | 41.9654i | −0.812606 | + | 1.40748i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −11.6144 | − | 20.1167i | −0.389096 | − | 0.673935i | ||||
\(892\) | 18.8118 | 0.629864 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 28.9373 | 0.967807 | ||||||||
\(895\) | −3.34313 | − | 5.79048i | −0.111749 | − | 0.193554i | ||||
\(896\) | 1.82288 | + | 3.15731i | 0.0608980 | + | 0.105478i | ||||
\(897\) | 4.35425 | − | 7.54178i | 0.145384 | − | 0.251813i | ||||
\(898\) | 12.1458 | + | 21.0371i | 0.405309 | + | 0.702016i | ||||
\(899\) | 4.64575 | − | 8.04668i | 0.154944 | − | 0.268372i | ||||
\(900\) | −9.16601 | −0.305534 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −0.677124 | + | 1.17281i | −0.0225458 | + | 0.0390504i | ||||
\(903\) | 54.4575 | − | 94.3232i | 1.81223 | − | 3.13888i | ||||
\(904\) | −15.5830 | −0.518283 | ||||||||
\(905\) | 36.5830 | 1.21606 | ||||||||
\(906\) | 17.1144 | − | 29.6430i | 0.568587 | − | 0.984822i | ||||
\(907\) | 19.9686 | + | 34.5867i | 0.663047 | + | 1.14843i | 0.979811 | + | 0.199927i | \(0.0640706\pi\) |
−0.316763 | + | 0.948505i | \(0.602596\pi\) | |||||||
\(908\) | −3.67712 | + | 6.36897i | −0.122030 | + | 0.211362i | ||||
\(909\) | 27.2915 | + | 47.2703i | 0.905202 | + | 1.56786i | ||||
\(910\) | 6.00000 | + | 10.3923i | 0.198898 | + | 0.344502i | ||||
\(911\) | −16.9373 | −0.561156 | −0.280578 | − | 0.959831i | \(-0.590526\pi\) | ||||
−0.280578 | + | 0.959831i | \(0.590526\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −36.8745 | −1.22037 | ||||||||
\(914\) | 16.4373 | + | 28.4702i | 0.543696 | + | 0.941709i | ||||
\(915\) | −2.04052 | − | 3.53428i | −0.0674575 | − | 0.116840i | ||||
\(916\) | −10.0000 | + | 17.3205i | −0.330409 | + | 0.572286i | ||||
\(917\) | −3.53137 | − | 6.11652i | −0.116616 | − | 0.201985i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19.8745 | −0.655600 | −0.327800 | − | 0.944747i | \(-0.606307\pi\) | ||||
−0.327800 | + | 0.944747i | \(0.606307\pi\) | |||||||
\(920\) | −2.70850 | −0.0892965 | ||||||||
\(921\) | −0.854249 | + | 1.47960i | −0.0281485 | + | 0.0487545i | ||||
\(922\) | 9.58301 | − | 16.5983i | 0.315599 | − | 0.546634i | ||||
\(923\) | −5.41699 | −0.178303 | ||||||||
\(924\) | 44.8118 | 1.47420 | ||||||||
\(925\) | −0.405881 | + | 0.703006i | −0.0133453 | + | 0.0231147i | ||||
\(926\) | −19.2288 | − | 33.3052i | −0.631896 | − | 1.09448i | ||||
\(927\) | −26.5830 | + | 46.0431i | −0.873100 | + | 1.51225i | ||||
\(928\) | −0.822876 | − | 1.42526i | −0.0270122 | − | 0.0467865i | ||||
\(929\) | 4.79150 | + | 8.29913i | 0.157204 | + | 0.272285i | 0.933859 | − | 0.357640i | \(-0.116419\pi\) |
−0.776655 | + | 0.629926i | \(0.783085\pi\) | |||||||
\(930\) | −24.5830 | −0.806108 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 18.8745 | 0.618255 | ||||||||
\(933\) | 18.0516 | + | 31.2663i | 0.590984 | + | 1.02361i | ||||
\(934\) | −9.67712 | − | 16.7613i | −0.316645 | − | 0.548446i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −4.00000 | − | 6.92820i | −0.130744 | − | 0.226455i | ||||
\(937\) | −3.56275 | + | 6.17086i | −0.116390 | + | 0.201593i | −0.918334 | − | 0.395805i | \(-0.870466\pi\) |
0.801945 | + | 0.597398i | \(0.203799\pi\) | |||||||
\(938\) | 2.35425 | 0.0768689 | ||||||||
\(939\) | −23.4797 | −0.766232 | ||||||||
\(940\) | 3.58301 | − | 6.20595i | 0.116865 | − | 0.202416i | ||||
\(941\) | 8.41699 | − | 14.5787i | 0.274386 | − | 0.475251i | −0.695594 | − | 0.718435i | \(-0.744859\pi\) |
0.969980 | + | 0.243184i | \(0.0781920\pi\) | |||||||
\(942\) | −28.0000 | −0.912289 | ||||||||
\(943\) | −0.479741 | −0.0156225 | ||||||||
\(944\) | −3.96863 | + | 6.87386i | −0.129168 | + | 0.223725i | ||||
\(945\) | −7.93725 | − | 13.7477i | −0.258199 | − | 0.447214i | ||||
\(946\) | −26.2288 | + | 45.4295i | −0.852770 | + | 1.47704i | ||||
\(947\) | 3.87451 | + | 6.71084i | 0.125905 | + | 0.218073i | 0.922086 | − | 0.386985i | \(-0.126483\pi\) |
−0.796182 | + | 0.605058i | \(0.793150\pi\) | |||||||
\(948\) | 5.29150 | + | 9.16515i | 0.171860 | + | 0.297670i | ||||
\(949\) | −3.41699 | −0.110920 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −15.8745 | −0.514766 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.72876 | − | 11.6545i | −0.217966 | − | 0.377528i | 0.736220 | − | 0.676742i | \(-0.236609\pi\) |
−0.954186 | + | 0.299214i | \(0.903275\pi\) | |||||||
\(954\) | 25.1660 | − | 43.5888i | 0.814780 | − | 1.41124i | ||||
\(955\) | 5.41699 | + | 9.38251i | 0.175290 | + | 0.303611i | ||||
\(956\) | 6.00000 | − | 10.3923i | 0.194054 | − | 0.336111i | ||||
\(957\) | −20.2288 | −0.653903 | ||||||||
\(958\) | −6.58301 | −0.212687 | ||||||||
\(959\) | −28.4059 | + | 49.2004i | −0.917274 | + | 1.58876i | ||||
\(960\) | −2.17712 | + | 3.77089i | −0.0702664 | + | 0.121705i | ||||
\(961\) | 0.874508 | 0.0282099 | ||||||||
\(962\) | −0.708497 | −0.0228429 | ||||||||
\(963\) | 30.5830 | − | 52.9713i | 0.985524 | − | 1.70698i | ||||
\(964\) | −3.79150 | − | 6.56708i | −0.122116 | − | 0.211511i | ||||
\(965\) | −12.0000 | + | 20.7846i | −0.386294 | + | 0.669080i | ||||
\(966\) | 7.93725 | + | 13.7477i | 0.255377 | + | 0.442326i | ||||
\(967\) | 6.64575 | + | 11.5108i | 0.213713 | + | 0.370162i | 0.952874 | − | 0.303367i | \(-0.0981109\pi\) |
−0.739161 | + | 0.673529i | \(0.764778\pi\) | |||||||
\(968\) | −10.5830 | −0.340151 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.10326 | 0.195964 | ||||||||
\(971\) | −27.1974 | − | 47.1073i | −0.872806 | − | 1.51174i | −0.859082 | − | 0.511838i | \(-0.828965\pi\) |
−0.0137234 | − | 0.999906i | \(-0.504368\pi\) | |||||||
\(972\) | −10.5830 | − | 18.3303i | −0.339450 | − | 0.587945i | ||||
\(973\) | −33.9889 | + | 58.8705i | −1.08963 | + | 1.88730i | ||||
\(974\) | −2.11438 | − | 3.66221i | −0.0677491 | − | 0.117345i | ||||
\(975\) | 6.06275 | − | 10.5010i | 0.194163 | − | 0.336301i | ||||
\(976\) | 0.937254 | 0.0300008 | ||||||||
\(977\) | 7.45751 | 0.238587 | 0.119293 | − | 0.992859i | \(-0.461937\pi\) | ||||
0.119293 | + | 0.992859i | \(0.461937\pi\) | |||||||
\(978\) | −5.20850 | + | 9.02138i | −0.166549 | + | 0.288472i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −10.3542 | −0.330754 | ||||||||
\(981\) | −58.3320 | −1.86240 | ||||||||
\(982\) | 19.6458 | − | 34.0274i | 0.626921 | − | 1.08586i | ||||
\(983\) | 15.8745 | + | 27.4955i | 0.506318 | + | 0.876969i | 0.999973 | + | 0.00731102i | \(0.00232719\pi\) |
−0.493655 | + | 0.869658i | \(0.664339\pi\) | |||||||
\(984\) | −0.385622 | + | 0.667916i | −0.0122932 | + | 0.0212924i | ||||
\(985\) | −6.29150 | − | 10.8972i | −0.200464 | − | 0.347214i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −42.0000 | −1.33687 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −18.5830 | −0.590905 | ||||||||
\(990\) | 15.2915 | + | 26.4857i | 0.485996 | + | 0.841770i | ||||
\(991\) | −1.41699 | − | 2.45431i | −0.0450123 | − | 0.0779636i | 0.842641 | − | 0.538475i | \(-0.180999\pi\) |
−0.887654 | + | 0.460511i | \(0.847666\pi\) | |||||||
\(992\) | 2.82288 | − | 4.88936i | 0.0896264 | − | 0.155237i | ||||
\(993\) | −26.2085 | − | 45.3944i | −0.831702 | − | 1.44055i | ||||
\(994\) | 4.93725 | − | 8.55157i | 0.156600 | − | 0.271239i | ||||
\(995\) | 32.7085 | 1.03693 | ||||||||
\(996\) | −21.0000 | −0.665410 | ||||||||
\(997\) | −8.11438 | + | 14.0545i | −0.256985 | + | 0.445111i | −0.965433 | − | 0.260652i | \(-0.916062\pi\) |
0.708448 | + | 0.705763i | \(0.249396\pi\) | |||||||
\(998\) | −2.38562 | + | 4.13202i | −0.0755155 | + | 0.130797i | ||||
\(999\) | 0.937254 | 0.0296534 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))