Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 233.1 | ||
Character | \(\chi\) | \(=\) | 605.233 |
Dual form | 605.2.m.c.457.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.16745 | + | 1.10437i | −1.53262 | + | 0.780910i | −0.997941 | − | 0.0641439i | \(-0.979568\pi\) |
−0.534681 | + | 0.845054i | \(0.679568\pi\) | |||||||
\(3\) | −0.590657 | − | 0.0935509i | −0.341016 | − | 0.0540116i | −0.0164223 | − | 0.999865i | \(-0.505228\pi\) |
−0.324594 | + | 0.945854i | \(0.605228\pi\) | |||||||
\(4\) | 2.30265 | − | 3.16932i | 1.15132 | − | 1.58466i | ||||
\(5\) | −2.23491 | − | 0.0720754i | −0.999480 | − | 0.0322331i | ||||
\(6\) | 1.38354 | − | 0.449539i | 0.564827 | − | 0.183523i | ||||
\(7\) | 0.403870 | + | 2.54993i | 0.152649 | + | 0.963785i | 0.938477 | + | 0.345341i | \(0.112237\pi\) |
−0.785829 | + | 0.618444i | \(0.787763\pi\) | |||||||
\(8\) | −0.729688 | + | 4.60707i | −0.257984 | + | 1.62884i | ||||
\(9\) | −2.51305 | − | 0.816538i | −0.837682 | − | 0.272179i | ||||
\(10\) | 4.92366 | − | 2.31195i | 1.55700 | − | 0.731103i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −1.65657 | + | 1.65657i | −0.478210 | + | 0.478210i | ||||
\(13\) | 1.27517 | + | 2.50266i | 0.353668 | + | 0.694112i | 0.997471 | − | 0.0710794i | \(-0.0226444\pi\) |
−0.643803 | + | 0.765191i | \(0.722644\pi\) | |||||||
\(14\) | −3.69145 | − | 5.08085i | −0.986582 | − | 1.35791i | ||||
\(15\) | 1.31332 | + | 0.251649i | 0.339098 | + | 0.0649756i | ||||
\(16\) | −1.08521 | − | 3.33993i | −0.271302 | − | 0.834983i | ||||
\(17\) | −0.428708 | + | 0.841386i | −0.103977 | + | 0.204066i | −0.937134 | − | 0.348971i | \(-0.886531\pi\) |
0.833157 | + | 0.553037i | \(0.186531\pi\) | |||||||
\(18\) | 6.34868 | − | 1.00553i | 1.49640 | − | 0.237006i | ||||
\(19\) | −3.35726 | + | 2.43919i | −0.770207 | + | 0.559588i | −0.902024 | − | 0.431686i | \(-0.857919\pi\) |
0.131817 | + | 0.991274i | \(0.457919\pi\) | |||||||
\(20\) | −5.37463 | + | 6.91718i | −1.20180 | + | 1.54673i | ||||
\(21\) | − | 1.54392i | − | 0.336911i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.104710 | + | 0.104710i | 0.0218334 | + | 0.0218334i | 0.717939 | − | 0.696106i | \(-0.245086\pi\) |
−0.696106 | + | 0.717939i | \(0.745086\pi\) | |||||||
\(24\) | 0.861991 | − | 2.65293i | 0.175953 | − | 0.541528i | ||||
\(25\) | 4.98961 | + | 0.322163i | 0.997922 | + | 0.0644327i | ||||
\(26\) | −5.52773 | − | 4.01613i | −1.08408 | − | 0.787629i | ||||
\(27\) | 3.00648 | + | 1.53188i | 0.578597 | + | 0.294810i | ||||
\(28\) | 9.01154 | + | 4.59161i | 1.70302 | + | 0.867733i | ||||
\(29\) | −5.61462 | − | 4.07926i | −1.04261 | − | 0.757499i | −0.0718154 | − | 0.997418i | \(-0.522879\pi\) |
−0.970793 | + | 0.239919i | \(0.922879\pi\) | |||||||
\(30\) | −3.12448 | + | 0.904958i | −0.570449 | + | 0.165222i | ||||
\(31\) | 2.80047 | − | 8.61895i | 0.502979 | − | 1.54801i | −0.301164 | − | 0.953572i | \(-0.597375\pi\) |
0.804143 | − | 0.594436i | \(-0.202625\pi\) | |||||||
\(32\) | −0.555921 | − | 0.555921i | −0.0982739 | − | 0.0982739i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.29712i | − | 0.393953i | ||||||
\(35\) | −0.718824 | − | 5.72797i | −0.121503 | − | 0.968204i | ||||
\(36\) | −8.37454 | + | 6.08446i | −1.39576 | + | 1.01408i | ||||
\(37\) | −7.50462 | + | 1.18862i | −1.23375 | + | 0.195407i | −0.739047 | − | 0.673654i | \(-0.764724\pi\) |
−0.494705 | + | 0.869061i | \(0.664724\pi\) | |||||||
\(38\) | 4.58292 | − | 8.99450i | 0.743448 | − | 1.45910i | ||||
\(39\) | −0.519061 | − | 1.59750i | −0.0831162 | − | 0.255805i | ||||
\(40\) | 1.96284 | − | 10.2438i | 0.310352 | − | 1.61968i | ||||
\(41\) | −2.02641 | − | 2.78912i | −0.316472 | − | 0.435587i | 0.620914 | − | 0.783879i | \(-0.286762\pi\) |
−0.937386 | + | 0.348292i | \(0.886762\pi\) | |||||||
\(42\) | 1.70506 | + | 3.34638i | 0.263097 | + | 0.516357i | ||||
\(43\) | 3.91833 | − | 3.91833i | 0.597540 | − | 0.597540i | −0.342117 | − | 0.939657i | \(-0.611144\pi\) |
0.939657 | + | 0.342117i | \(0.111144\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.55757 | + | 2.00601i | 0.828473 | + | 0.299039i | ||||
\(46\) | −0.342592 | − | 0.111315i | −0.0505124 | − | 0.0164125i | ||||
\(47\) | 0.165396 | − | 1.04427i | 0.0241255 | − | 0.152323i | −0.972685 | − | 0.232130i | \(-0.925431\pi\) |
0.996810 | + | 0.0798074i | \(0.0254305\pi\) | |||||||
\(48\) | 0.328533 | + | 2.07428i | 0.0474197 | + | 0.299396i | ||||
\(49\) | 0.318339 | − | 0.103435i | 0.0454770 | − | 0.0147764i | ||||
\(50\) | −11.1705 | + | 4.81212i | −1.57975 | + | 0.680536i | ||||
\(51\) | 0.331932 | − | 0.456865i | 0.0464797 | − | 0.0639739i | ||||
\(52\) | 10.8680 | + | 1.72132i | 1.50712 | + | 0.238704i | ||||
\(53\) | 3.67328 | − | 1.87163i | 0.504564 | − | 0.257088i | −0.183130 | − | 0.983089i | \(-0.558623\pi\) |
0.687694 | + | 0.726000i | \(0.258623\pi\) | |||||||
\(54\) | −8.20817 | −1.11699 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −12.0424 | −1.60924 | ||||||||
\(57\) | 2.21118 | − | 1.12665i | 0.292877 | − | 0.149228i | ||||
\(58\) | 16.6745 | + | 2.64097i | 2.18946 | + | 0.346777i | ||||
\(59\) | 3.80993 | − | 5.24392i | 0.496011 | − | 0.682701i | −0.485471 | − | 0.874253i | \(-0.661352\pi\) |
0.981483 | + | 0.191552i | \(0.0613520\pi\) | |||||||
\(60\) | 3.82167 | − | 3.58288i | 0.493376 | − | 0.462548i | ||||
\(61\) | 9.05905 | − | 2.94346i | 1.15989 | − | 0.376872i | 0.335031 | − | 0.942207i | \(-0.391253\pi\) |
0.824861 | + | 0.565335i | \(0.191253\pi\) | |||||||
\(62\) | 3.44865 | + | 21.7739i | 0.437979 | + | 2.76529i | ||||
\(63\) | 1.06717 | − | 6.73788i | 0.134451 | − | 0.848893i | ||||
\(64\) | 8.49874 | + | 2.76141i | 1.06234 | + | 0.345176i | ||||
\(65\) | −2.66950 | − | 5.68511i | −0.331111 | − | 0.705151i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.94509 | − | 2.94509i | 0.359801 | − | 0.359801i | −0.503939 | − | 0.863739i | \(-0.668116\pi\) |
0.863739 | + | 0.503939i | \(0.168116\pi\) | |||||||
\(68\) | 1.67946 | + | 3.29613i | 0.203665 | + | 0.399715i | ||||
\(69\) | −0.0520518 | − | 0.0716431i | −0.00626629 | − | 0.00862481i | ||||
\(70\) | 7.88384 | + | 11.6213i | 0.942299 | + | 1.38901i | ||||
\(71\) | 0.391234 | + | 1.20409i | 0.0464309 | + | 0.142900i | 0.971584 | − | 0.236694i | \(-0.0760639\pi\) |
−0.925153 | + | 0.379594i | \(0.876064\pi\) | |||||||
\(72\) | 5.59558 | − | 10.9820i | 0.659446 | − | 1.29424i | ||||
\(73\) | −1.74957 | + | 0.277105i | −0.204772 | + | 0.0324326i | −0.257977 | − | 0.966151i | \(-0.583056\pi\) |
0.0532059 | + | 0.998584i | \(0.483056\pi\) | |||||||
\(74\) | 14.9533 | − | 10.8642i | 1.73828 | − | 1.26293i | ||||
\(75\) | −2.91701 | − | 0.657071i | −0.336827 | − | 0.0758720i | ||||
\(76\) | 16.2568i | 1.86479i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.88928 | + | 2.88928i | 0.327147 | + | 0.327147i | ||||
\(79\) | 1.34174 | − | 4.12944i | 0.150957 | − | 0.464598i | −0.846772 | − | 0.531957i | \(-0.821457\pi\) |
0.997729 | + | 0.0673580i | \(0.0214570\pi\) | |||||||
\(80\) | 2.18461 | + | 7.54265i | 0.244247 | + | 0.843294i | ||||
\(81\) | 4.78068 | + | 3.47337i | 0.531187 | + | 0.385930i | ||||
\(82\) | 7.47238 | + | 3.80737i | 0.825187 | + | 0.420454i | ||||
\(83\) | −7.38775 | − | 3.76425i | −0.810911 | − | 0.413180i | −0.00119325 | − | 0.999999i | \(-0.500380\pi\) |
−0.809718 | + | 0.586819i | \(0.800380\pi\) | |||||||
\(84\) | −4.89318 | − | 3.55511i | −0.533890 | − | 0.387894i | ||||
\(85\) | 1.01876 | − | 1.84952i | 0.110501 | − | 0.200609i | ||||
\(86\) | −4.16551 | + | 12.8201i | −0.449178 | + | 1.38243i | ||||
\(87\) | 2.93470 | + | 2.93470i | 0.314632 | + | 0.314632i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 4.23092i | − | 0.448477i | −0.974534 | − | 0.224238i | \(-0.928011\pi\) | ||
0.974534 | − | 0.224238i | \(-0.0719894\pi\) | |||||||
\(90\) | −14.2612 | + | 1.78969i | −1.50326 | + | 0.188649i | ||||
\(91\) | −5.86661 | + | 4.26234i | −0.614988 | + | 0.446815i | ||||
\(92\) | 0.572968 | − | 0.0907492i | 0.0597360 | − | 0.00946125i | ||||
\(93\) | −2.46043 | + | 4.82886i | −0.255134 | + | 0.500729i | ||||
\(94\) | 0.794777 | + | 2.44607i | 0.0819749 | + | 0.252293i | ||||
\(95\) | 7.67896 | − | 5.20938i | 0.787844 | − | 0.534471i | ||||
\(96\) | 0.276352 | + | 0.380366i | 0.0282050 | + | 0.0388209i | ||||
\(97\) | −6.54815 | − | 12.8515i | −0.664864 | − | 1.30487i | −0.939245 | − | 0.343248i | \(-0.888473\pi\) |
0.274381 | − | 0.961621i | \(-0.411527\pi\) | |||||||
\(98\) | −0.575755 | + | 0.575755i | −0.0581600 | + | 0.0581600i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 12.5104 | − | 15.0719i | 1.25104 | − | 1.50719i | ||||
\(101\) | 1.84046 | + | 0.598002i | 0.183133 | + | 0.0595034i | 0.399148 | − | 0.916887i | \(-0.369306\pi\) |
−0.216015 | + | 0.976390i | \(0.569306\pi\) | |||||||
\(102\) | −0.214898 | + | 1.35681i | −0.0212780 | + | 0.134344i | ||||
\(103\) | −0.268951 | − | 1.69809i | −0.0265005 | − | 0.167318i | 0.970889 | − | 0.239531i | \(-0.0769937\pi\) |
−0.997389 | + | 0.0722135i | \(0.976994\pi\) | |||||||
\(104\) | −12.4604 | + | 4.04862i | −1.22184 | + | 0.397000i | ||||
\(105\) | −0.111279 | + | 3.45052i | −0.0108597 | + | 0.336736i | ||||
\(106\) | −5.89470 | + | 8.11335i | −0.572544 | + | 0.788039i | ||||
\(107\) | −4.10781 | − | 0.650614i | −0.397117 | − | 0.0628972i | −0.0453180 | − | 0.998973i | \(-0.514430\pi\) |
−0.351799 | + | 0.936075i | \(0.614430\pi\) | |||||||
\(108\) | 11.7779 | − | 6.00113i | 1.13333 | − | 0.577459i | ||||
\(109\) | −3.22321 | −0.308728 | −0.154364 | − | 0.988014i | \(-0.549333\pi\) | ||||
−0.154364 | + | 0.988014i | \(0.549333\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.54385 | 0.431284 | ||||||||
\(112\) | 8.07832 | − | 4.11611i | 0.763330 | − | 0.388936i | ||||
\(113\) | 11.0159 | + | 1.74475i | 1.03629 | + | 0.164132i | 0.651324 | − | 0.758800i | \(-0.274214\pi\) |
0.384964 | + | 0.922932i | \(0.374214\pi\) | |||||||
\(114\) | −3.54838 | + | 4.88393i | −0.332336 | + | 0.457422i | ||||
\(115\) | −0.226469 | − | 0.241563i | −0.0211183 | − | 0.0225259i | ||||
\(116\) | −25.8570 | + | 8.40145i | −2.40076 | + | 0.780055i | ||||
\(117\) | −1.16104 | − | 7.33051i | −0.107338 | − | 0.677706i | ||||
\(118\) | −2.46661 | + | 15.5736i | −0.227070 | + | 1.43366i | ||||
\(119\) | −2.31862 | − | 0.753366i | −0.212548 | − | 0.0690609i | ||||
\(120\) | −2.11768 | + | 5.86693i | −0.193317 | + | 0.535575i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −16.3844 | + | 16.3844i | −1.48337 | + | 1.48337i | ||||
\(123\) | 0.935990 | + | 1.83698i | 0.0843954 | + | 0.165635i | ||||
\(124\) | −20.8678 | − | 28.7220i | −1.87398 | − | 2.57931i | ||||
\(125\) | −11.1281 | − | 1.07963i | −0.995327 | − | 0.0965653i | ||||
\(126\) | 5.12808 | + | 15.7826i | 0.456846 | + | 1.40603i | ||||
\(127\) | −1.07825 | + | 2.11618i | −0.0956788 | + | 0.187780i | −0.933885 | − | 0.357573i | \(-0.883604\pi\) |
0.838206 | + | 0.545353i | \(0.183604\pi\) | |||||||
\(128\) | −19.9172 | + | 3.15458i | −1.76045 | + | 0.278828i | ||||
\(129\) | −2.68095 | + | 1.94783i | −0.236045 | + | 0.171497i | ||||
\(130\) | 12.0645 | + | 9.37409i | 1.05813 | + | 0.822162i | ||||
\(131\) | − | 3.12466i | − | 0.273003i | −0.990640 | − | 0.136501i | \(-0.956414\pi\) | ||
0.990640 | − | 0.136501i | \(-0.0435858\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.57567 | − | 7.57567i | −0.656894 | − | 0.656894i | ||||
\(134\) | −3.13088 | + | 9.63584i | −0.270466 | + | 0.832410i | ||||
\(135\) | −6.60879 | − | 3.64030i | −0.568794 | − | 0.313307i | ||||
\(136\) | −3.56350 | − | 2.58903i | −0.305568 | − | 0.222008i | ||||
\(137\) | −14.7336 | − | 7.50715i | −1.25878 | − | 0.641379i | −0.308039 | − | 0.951374i | \(-0.599673\pi\) |
−0.950738 | + | 0.309995i | \(0.899673\pi\) | |||||||
\(138\) | 0.191941 | + | 0.0977986i | 0.0163391 | + | 0.00832517i | ||||
\(139\) | −3.49534 | − | 2.53951i | −0.296470 | − | 0.215398i | 0.429599 | − | 0.903020i | \(-0.358655\pi\) |
−0.726069 | + | 0.687621i | \(0.758655\pi\) | |||||||
\(140\) | −19.8090 | − | 10.9113i | −1.67417 | − | 0.922175i | ||||
\(141\) | −0.195385 | + | 0.601333i | −0.0164544 | + | 0.0506414i | ||||
\(142\) | −2.17775 | − | 2.17775i | −0.182753 | − | 0.182753i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 9.27951i | 0.773293i | ||||||||
\(145\) | 12.2541 | + | 9.52144i | 1.01765 | + | 0.790712i | ||||
\(146\) | 3.48609 | − | 2.53279i | 0.288511 | − | 0.209615i | ||||
\(147\) | −0.197706 | + | 0.0313135i | −0.0163065 | + | 0.00258269i | ||||
\(148\) | −13.5134 | + | 26.5215i | −1.11079 | + | 2.18006i | ||||
\(149\) | −2.60955 | − | 8.03136i | −0.213782 | − | 0.657954i | −0.999238 | − | 0.0390361i | \(-0.987571\pi\) |
0.785455 | − | 0.618918i | \(-0.212429\pi\) | |||||||
\(150\) | 7.04814 | − | 1.79730i | 0.575478 | − | 0.146749i | ||||
\(151\) | −7.01365 | − | 9.65346i | −0.570763 | − | 0.785587i | 0.421882 | − | 0.906651i | \(-0.361370\pi\) |
−0.992645 | + | 0.121063i | \(0.961370\pi\) | |||||||
\(152\) | −8.78776 | − | 17.2470i | −0.712782 | − | 1.39891i | ||||
\(153\) | 1.76439 | − | 1.76439i | 0.142642 | − | 0.142642i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.87999 | + | 19.0607i | −0.552614 | + | 1.53099i | ||||
\(156\) | −6.25823 | − | 2.03342i | −0.501059 | − | 0.162804i | ||||
\(157\) | 0.212989 | − | 1.34476i | 0.0169983 | − | 0.107323i | −0.977730 | − | 0.209865i | \(-0.932698\pi\) |
0.994729 | + | 0.102542i | \(0.0326975\pi\) | |||||||
\(158\) | 1.65229 | + | 10.4322i | 0.131449 | + | 0.829938i | ||||
\(159\) | −2.34474 | + | 0.761854i | −0.185950 | + | 0.0604189i | ||||
\(160\) | 1.20236 | + | 1.28250i | 0.0950551 | + | 0.101390i | ||||
\(161\) | −0.224713 | + | 0.309291i | −0.0177099 | + | 0.0243756i | ||||
\(162\) | −14.1978 | − | 2.24871i | −1.11549 | − | 0.176676i | ||||
\(163\) | −20.4427 | + | 10.4161i | −1.60120 | + | 0.815852i | −0.601341 | + | 0.798992i | \(0.705367\pi\) |
−0.999858 | + | 0.0168592i | \(0.994633\pi\) | |||||||
\(164\) | −13.5057 | −1.05462 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 20.1698 | 1.56548 | ||||||||
\(167\) | 12.7952 | − | 6.51948i | 0.990123 | − | 0.504493i | 0.117597 | − | 0.993061i | \(-0.462481\pi\) |
0.872525 | + | 0.488569i | \(0.162481\pi\) | |||||||
\(168\) | 7.11294 | + | 1.12658i | 0.548775 | + | 0.0869175i | ||||
\(169\) | 3.00397 | − | 4.13461i | 0.231075 | − | 0.318047i | ||||
\(170\) | −0.165566 | + | 5.13385i | −0.0126983 | + | 0.393748i | ||||
\(171\) | 10.4286 | − | 3.38847i | 0.797497 | − | 0.259122i | ||||
\(172\) | −3.39592 | − | 21.4410i | −0.258937 | − | 1.63486i | ||||
\(173\) | −3.48873 | + | 22.0270i | −0.265243 | + | 1.67468i | 0.391201 | + | 0.920305i | \(0.372060\pi\) |
−0.656444 | + | 0.754375i | \(0.727940\pi\) | |||||||
\(174\) | −9.60182 | − | 3.11982i | −0.727912 | − | 0.236513i | ||||
\(175\) | 1.19366 | + | 12.8533i | 0.0902321 | + | 0.971618i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.74094 | + | 2.74094i | −0.206022 | + | 0.206022i | ||||
\(178\) | 4.67252 | + | 9.17033i | 0.350220 | + | 0.687345i | ||||
\(179\) | 2.56757 | + | 3.53396i | 0.191909 | + | 0.264140i | 0.894119 | − | 0.447830i | \(-0.147803\pi\) |
−0.702210 | + | 0.711970i | \(0.747803\pi\) | |||||||
\(180\) | 19.1548 | − | 12.9946i | 1.42772 | − | 0.968560i | ||||
\(181\) | 2.91705 | + | 8.97777i | 0.216823 | + | 0.667312i | 0.999019 | + | 0.0442801i | \(0.0140994\pi\) |
−0.782196 | + | 0.623032i | \(0.785901\pi\) | |||||||
\(182\) | 8.00839 | − | 15.7174i | 0.593622 | − | 1.16505i | ||||
\(183\) | −5.62616 | + | 0.891096i | −0.415897 | + | 0.0658717i | ||||
\(184\) | −0.558809 | + | 0.405999i | −0.0411960 | + | 0.0299306i | ||||
\(185\) | 16.8578 | − | 2.11554i | 1.23941 | − | 0.155538i | ||||
\(186\) | − | 13.1836i | − | 0.966665i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −2.92879 | − | 2.92879i | −0.213604 | − | 0.213604i | ||||
\(189\) | −2.69196 | + | 8.28500i | −0.195811 | + | 0.602645i | ||||
\(190\) | −10.8907 | + | 19.7715i | −0.790093 | + | 1.43438i | ||||
\(191\) | 5.23658 | + | 3.80460i | 0.378906 | + | 0.275291i | 0.760894 | − | 0.648876i | \(-0.224761\pi\) |
−0.381988 | + | 0.924167i | \(0.624761\pi\) | |||||||
\(192\) | −4.76151 | − | 2.42611i | −0.343632 | − | 0.175089i | ||||
\(193\) | −0.896922 | − | 0.457004i | −0.0645618 | − | 0.0328959i | 0.421412 | − | 0.906870i | \(-0.361535\pi\) |
−0.485973 | + | 0.873974i | \(0.661535\pi\) | |||||||
\(194\) | 28.3856 | + | 20.6234i | 2.03797 | + | 1.48067i | ||||
\(195\) | 1.04491 | + | 3.60768i | 0.0748277 | + | 0.258352i | ||||
\(196\) | 0.405205 | − | 1.24709i | 0.0289432 | − | 0.0890781i | ||||
\(197\) | 17.3425 | + | 17.3425i | 1.23560 | + | 1.23560i | 0.961781 | + | 0.273821i | \(0.0882874\pi\) |
0.273821 | + | 0.961781i | \(0.411713\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.25580i | 0.230797i | 0.993319 | + | 0.115399i | \(0.0368146\pi\) | ||||
−0.993319 | + | 0.115399i | \(0.963185\pi\) | |||||||
\(200\) | −5.12509 | + | 22.7524i | −0.362398 | + | 1.60884i | ||||
\(201\) | −2.01506 | + | 1.46403i | −0.142131 | + | 0.103264i | ||||
\(202\) | −4.64953 | + | 0.736413i | −0.327140 | + | 0.0518138i | ||||
\(203\) | 8.13427 | − | 15.9644i | 0.570914 | − | 1.12048i | ||||
\(204\) | −0.683631 | − | 2.10400i | −0.0478637 | − | 0.147309i | ||||
\(205\) | 4.32781 | + | 6.37947i | 0.302268 | + | 0.445561i | ||||
\(206\) | 2.45826 | + | 3.38351i | 0.171275 | + | 0.235740i | ||||
\(207\) | −0.177640 | − | 0.348639i | −0.0123469 | − | 0.0242321i | ||||
\(208\) | 6.97487 | − | 6.97487i | 0.483621 | − | 0.483621i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −3.56947 | − | 7.60173i | −0.246317 | − | 0.524569i | ||||
\(211\) | −23.6255 | − | 7.67640i | −1.62645 | − | 0.528465i | −0.652997 | − | 0.757360i | \(-0.726489\pi\) |
−0.973451 | + | 0.228895i | \(0.926489\pi\) | |||||||
\(212\) | 2.52648 | − | 15.9515i | 0.173519 | − | 1.09556i | ||||
\(213\) | −0.118441 | − | 0.747807i | −0.00811544 | − | 0.0512389i | ||||
\(214\) | 9.62202 | − | 3.12638i | 0.657748 | − | 0.213715i | ||||
\(215\) | −9.03952 | + | 8.47469i | −0.616490 | + | 0.577969i | ||||
\(216\) | −9.25126 | + | 12.7333i | −0.629468 | + | 0.866389i | ||||
\(217\) | 23.1088 | + | 3.66007i | 1.56873 | + | 0.248462i | ||||
\(218\) | 6.98617 | − | 3.55963i | 0.473163 | − | 0.241089i | ||||
\(219\) | 1.05932 | 0.0715822 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.65237 | −0.178418 | ||||||||
\(222\) | −9.84860 | + | 5.01811i | −0.660995 | + | 0.336794i | ||||
\(223\) | −19.3488 | − | 3.06455i | −1.29569 | − | 0.205218i | −0.529766 | − | 0.848144i | \(-0.677720\pi\) |
−0.765928 | + | 0.642926i | \(0.777720\pi\) | |||||||
\(224\) | 1.19304 | − | 1.64208i | 0.0797135 | − | 0.109716i | ||||
\(225\) | −12.2761 | − | 4.88382i | −0.818404 | − | 0.325588i | ||||
\(226\) | −25.8033 | + | 8.38400i | −1.71641 | + | 0.557695i | ||||
\(227\) | 0.160020 | + | 1.01032i | 0.0106209 | + | 0.0670576i | 0.992430 | − | 0.122815i | \(-0.0391923\pi\) |
−0.981809 | + | 0.189873i | \(0.939192\pi\) | |||||||
\(228\) | 1.52084 | − | 9.60221i | 0.100720 | − | 0.635922i | ||||
\(229\) | 0.0968640 | + | 0.0314730i | 0.00640095 | + | 0.00207980i | 0.312216 | − | 0.950011i | \(-0.398929\pi\) |
−0.305815 | + | 0.952091i | \(0.598929\pi\) | |||||||
\(230\) | 0.757637 | + | 0.273470i | 0.0499571 | + | 0.0180321i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 22.8903 | − | 22.8903i | 1.50282 | − | 1.50282i | ||||
\(233\) | −9.71543 | − | 19.0676i | −0.636479 | − | 1.24916i | −0.953686 | − | 0.300804i | \(-0.902745\pi\) |
0.317207 | − | 0.948356i | \(-0.397255\pi\) | |||||||
\(234\) | 10.6121 | + | 14.6063i | 0.693736 | + | 0.954846i | ||||
\(235\) | −0.444912 | + | 2.32193i | −0.0290228 | + | 0.151466i | ||||
\(236\) | −7.84676 | − | 24.1498i | −0.510780 | − | 1.57202i | ||||
\(237\) | −1.17882 | + | 2.31356i | −0.0765726 | + | 0.150282i | ||||
\(238\) | 5.85751 | − | 0.927738i | 0.379686 | − | 0.0601363i | ||||
\(239\) | 7.00907 | − | 5.09239i | 0.453379 | − | 0.329399i | −0.337549 | − | 0.941308i | \(-0.609598\pi\) |
0.790929 | + | 0.611909i | \(0.209598\pi\) | |||||||
\(240\) | −0.584736 | − | 4.65949i | −0.0377446 | − | 0.300769i | ||||
\(241\) | 10.6492i | 0.685976i | 0.939340 | + | 0.342988i | \(0.111439\pi\) | ||||
−0.939340 | + | 0.342988i | \(0.888561\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −9.65667 | − | 9.65667i | −0.619476 | − | 0.619476i | ||||
\(244\) | 11.5310 | − | 35.4888i | 0.738198 | − | 2.27194i | ||||
\(245\) | −0.718913 | + | 0.208222i | −0.0459297 | + | 0.0133028i | ||||
\(246\) | −4.05743 | − | 2.94790i | −0.258693 | − | 0.187951i | ||||
\(247\) | −10.3855 | − | 5.29168i | −0.660814 | − | 0.336702i | ||||
\(248\) | 37.6646 | + | 19.1911i | 2.39171 | + | 1.21863i | ||||
\(249\) | 4.01148 | + | 2.91451i | 0.254217 | + | 0.184700i | ||||
\(250\) | 25.3120 | − | 9.94951i | 1.60087 | − | 0.629262i | ||||
\(251\) | −2.90262 | + | 8.93333i | −0.183211 | + | 0.563867i | −0.999913 | − | 0.0131934i | \(-0.995800\pi\) |
0.816701 | + | 0.577060i | \(0.195800\pi\) | |||||||
\(252\) | −18.8972 | − | 18.8972i | −1.19041 | − | 1.19041i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 5.77750i | − | 0.362513i | ||||||
\(255\) | −0.774765 | + | 0.997126i | −0.0485177 | + | 0.0624424i | ||||
\(256\) | 25.2270 | − | 18.3285i | 1.57668 | − | 1.14553i | ||||
\(257\) | 18.2128 | − | 2.88462i | 1.13608 | − | 0.179938i | 0.440067 | − | 0.897965i | \(-0.354955\pi\) |
0.696015 | + | 0.718027i | \(0.254955\pi\) | |||||||
\(258\) | 3.65972 | − | 7.18260i | 0.227844 | − | 0.447169i | ||||
\(259\) | −6.06178 | − | 18.6562i | −0.376661 | − | 1.15924i | ||||
\(260\) | −24.1649 | − | 4.63030i | −1.49864 | − | 0.287159i | ||||
\(261\) | 10.7789 | + | 14.8359i | 0.667198 | + | 0.918320i | ||||
\(262\) | 3.45079 | + | 6.77256i | 0.213191 | + | 0.418410i | ||||
\(263\) | −11.8928 | + | 11.8928i | −0.733342 | + | 0.733342i | −0.971280 | − | 0.237938i | \(-0.923528\pi\) |
0.237938 | + | 0.971280i | \(0.423528\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.34434 | + | 3.91817i | −0.512589 | + | 0.240691i | ||||
\(266\) | 24.7863 | + | 8.05355i | 1.51974 | + | 0.493795i | ||||
\(267\) | −0.395807 | + | 2.49902i | −0.0242230 | + | 0.152938i | ||||
\(268\) | −2.55244 | − | 16.1155i | −0.155915 | − | 0.984410i | ||||
\(269\) | 27.0639 | − | 8.79360i | 1.65012 | − | 0.536155i | 0.671350 | − | 0.741140i | \(-0.265715\pi\) |
0.978765 | + | 0.204985i | \(0.0657146\pi\) | |||||||
\(270\) | 18.3445 | + | 0.591607i | 1.11641 | + | 0.0360041i | ||||
\(271\) | 17.4468 | − | 24.0135i | 1.05982 | − | 1.45871i | 0.179841 | − | 0.983696i | \(-0.442442\pi\) |
0.879976 | − | 0.475018i | \(-0.157558\pi\) | |||||||
\(272\) | 3.27541 | + | 0.518774i | 0.198601 | + | 0.0314553i | ||||
\(273\) | 3.86390 | − | 1.96876i | 0.233854 | − | 0.119154i | ||||
\(274\) | 40.2251 | 2.43009 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.346917 | −0.0208820 | ||||||||
\(277\) | 11.0660 | − | 5.63843i | 0.664894 | − | 0.338780i | −0.0887589 | − | 0.996053i | \(-0.528290\pi\) |
0.753653 | + | 0.657273i | \(0.228290\pi\) | |||||||
\(278\) | 10.3805 | + | 1.64412i | 0.622584 | + | 0.0986076i | ||||
\(279\) | −14.0754 | + | 19.3731i | −0.842672 | + | 1.15984i | ||||
\(280\) | 26.9137 | + | 0.867962i | 1.60840 | + | 0.0518706i | ||||
\(281\) | 20.8044 | − | 6.75975i | 1.24108 | − | 0.403253i | 0.386366 | − | 0.922345i | \(-0.373730\pi\) |
0.854718 | + | 0.519093i | \(0.173730\pi\) | |||||||
\(282\) | −0.240608 | − | 1.51914i | −0.0143280 | − | 0.0904635i | ||||
\(283\) | 4.25463 | − | 26.8627i | 0.252912 | − | 1.59682i | −0.454981 | − | 0.890501i | \(-0.650354\pi\) |
0.707892 | − | 0.706320i | \(-0.249646\pi\) | |||||||
\(284\) | 4.71704 | + | 1.53266i | 0.279905 | + | 0.0909465i | ||||
\(285\) | −5.02297 | + | 2.35859i | −0.297535 | + | 0.139711i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.29366 | − | 6.29366i | 0.371503 | − | 0.371503i | ||||
\(288\) | 0.943124 | + | 1.85099i | 0.0555741 | + | 0.109070i | ||||
\(289\) | 9.46821 | + | 13.0319i | 0.556953 | + | 0.766581i | ||||
\(290\) | −37.0755 | − | 7.10415i | −2.17715 | − | 0.417170i | ||||
\(291\) | 2.66545 | + | 8.20340i | 0.156251 | + | 0.480892i | ||||
\(292\) | −3.15041 | + | 6.18303i | −0.184364 | + | 0.361834i | ||||
\(293\) | −19.8646 | + | 3.14625i | −1.16050 | + | 0.183806i | −0.706844 | − | 0.707369i | \(-0.749882\pi\) |
−0.453660 | + | 0.891175i | \(0.649882\pi\) | |||||||
\(294\) | 0.393936 | − | 0.286211i | 0.0229748 | − | 0.0166922i | ||||
\(295\) | −8.89280 | + | 11.4451i | −0.517759 | + | 0.666358i | ||||
\(296\) | − | 35.4416i | − | 2.06000i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 14.5257 | + | 14.5257i | 0.841450 | + | 0.841450i | ||||
\(299\) | −0.128530 | + | 0.395574i | −0.00743307 | + | 0.0228766i | ||||
\(300\) | −8.79932 | + | 7.73195i | −0.508029 | + | 0.446404i | ||||
\(301\) | 11.5740 | + | 8.40900i | 0.667114 | + | 0.484686i | ||||
\(302\) | 25.8628 | + | 13.1777i | 1.48824 | + | 0.758294i | ||||
\(303\) | −1.03114 | − | 0.525391i | −0.0592373 | − | 0.0301829i | ||||
\(304\) | 11.7900 | + | 8.56597i | 0.676206 | + | 0.491292i | ||||
\(305\) | −20.4583 | + | 5.92543i | −1.17144 | + | 0.339289i | ||||
\(306\) | −1.87569 | + | 5.77277i | −0.107226 | + | 0.330007i | ||||
\(307\) | −14.6921 | − | 14.6921i | −0.838520 | − | 0.838520i | 0.150144 | − | 0.988664i | \(-0.452026\pi\) |
−0.988664 | + | 0.150144i | \(0.952026\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.02815i | 0.0584893i | ||||||||
\(310\) | −6.13805 | − | 48.9113i | −0.348618 | − | 2.77797i | ||||
\(311\) | −18.8330 | + | 13.6830i | −1.06792 | + | 0.775892i | −0.975538 | − | 0.219831i | \(-0.929449\pi\) |
−0.0923861 | + | 0.995723i | \(0.529449\pi\) | |||||||
\(312\) | 7.73857 | − | 1.22567i | 0.438110 | − | 0.0693898i | ||||
\(313\) | 6.36402 | − | 12.4901i | 0.359716 | − | 0.705982i | −0.638244 | − | 0.769834i | \(-0.720339\pi\) |
0.997959 | + | 0.0638526i | \(0.0203388\pi\) | |||||||
\(314\) | 1.02347 | + | 3.14992i | 0.0577578 | + | 0.177760i | ||||
\(315\) | −2.87067 | + | 14.9816i | −0.161744 | + | 0.844118i | ||||
\(316\) | −9.99799 | − | 13.7611i | −0.562431 | − | 0.774120i | ||||
\(317\) | 13.3927 | + | 26.2847i | 0.752211 | + | 1.47630i | 0.875134 | + | 0.483881i | \(0.160773\pi\) |
−0.122922 | + | 0.992416i | \(0.539227\pi\) | |||||||
\(318\) | 4.24076 | − | 4.24076i | 0.237810 | − | 0.237810i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −18.7949 | − | 6.78404i | −1.05066 | − | 0.379239i | ||||
\(321\) | 2.36544 | + | 0.768580i | 0.132026 | + | 0.0428979i | ||||
\(322\) | 0.145483 | − | 0.918543i | 0.00810744 | − | 0.0511884i | ||||
\(323\) | −0.613019 | − | 3.87045i | −0.0341093 | − | 0.215357i | ||||
\(324\) | 22.0165 | − | 7.15358i | 1.22314 | − | 0.397421i | ||||
\(325\) | 5.55632 | + | 12.8981i | 0.308209 | + | 0.715457i | ||||
\(326\) | 32.8055 | − | 45.1528i | 1.81693 | − | 2.50078i | ||||
\(327\) | 1.90381 | + | 0.301535i | 0.105281 | + | 0.0166749i | ||||
\(328\) | 14.3283 | − | 7.30063i | 0.791148 | − | 0.403110i | ||||
\(329\) | 2.72962 | 0.150489 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.18560 | 0.120131 | 0.0600657 | − | 0.998194i | \(-0.480869\pi\) | ||||
0.0600657 | + | 0.998194i | \(0.480869\pi\) | |||||||
\(332\) | −28.9415 | + | 14.7464i | −1.58837 | + | 0.809316i | ||||
\(333\) | 19.8300 | + | 3.14076i | 1.08668 | + | 0.172113i | ||||
\(334\) | −20.5331 | + | 28.2614i | −1.12352 | + | 1.54639i | ||||
\(335\) | −6.79428 | + | 6.36974i | −0.371211 | + | 0.348016i | ||||
\(336\) | −5.15658 | + | 1.67548i | −0.281315 | + | 0.0914047i | ||||
\(337\) | −0.281896 | − | 1.77982i | −0.0153559 | − | 0.0969531i | 0.978820 | − | 0.204722i | \(-0.0656292\pi\) |
−0.994176 | + | 0.107769i | \(0.965629\pi\) | |||||||
\(338\) | −1.94482 | + | 12.2791i | −0.105784 | + | 0.667894i | ||||
\(339\) | −6.34339 | − | 2.06109i | −0.344526 | − | 0.111943i | ||||
\(340\) | −3.51587 | − | 7.48759i | −0.190675 | − | 0.406072i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −18.8614 | + | 18.8614i | −1.01991 | + | 1.01991i | ||||
\(343\) | 8.59685 | + | 16.8723i | 0.464186 | + | 0.911017i | ||||
\(344\) | 15.1929 | + | 20.9112i | 0.819144 | + | 1.12746i | ||||
\(345\) | 0.111167 | + | 0.163867i | 0.00598503 | + | 0.00882231i | ||||
\(346\) | −16.7643 | − | 51.5953i | −0.901257 | − | 2.77378i | ||||
\(347\) | −9.74821 | + | 19.1319i | −0.523311 | + | 1.02706i | 0.466480 | + | 0.884532i | \(0.345522\pi\) |
−0.989791 | + | 0.142525i | \(0.954478\pi\) | |||||||
\(348\) | 16.0586 | − | 2.54343i | 0.860830 | − | 0.136342i | ||||
\(349\) | −8.62120 | + | 6.26367i | −0.461482 | + | 0.335286i | −0.794112 | − | 0.607771i | \(-0.792064\pi\) |
0.332630 | + | 0.943057i | \(0.392064\pi\) | |||||||
\(350\) | −16.7820 | − | 26.5407i | −0.897038 | − | 1.41866i | ||||
\(351\) | 9.47758i | 0.505876i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.73857 | − | 7.73857i | −0.411883 | − | 0.411883i | 0.470511 | − | 0.882394i | \(-0.344069\pi\) |
−0.882394 | + | 0.470511i | \(0.844069\pi\) | |||||||
\(354\) | 2.91384 | − | 8.96788i | 0.154869 | − | 0.476637i | ||||
\(355\) | −0.787585 | − | 2.71923i | −0.0418007 | − | 0.144322i | ||||
\(356\) | −13.4092 | − | 9.74233i | −0.710684 | − | 0.516342i | ||||
\(357\) | 1.29903 | + | 0.661890i | 0.0687521 | + | 0.0350309i | ||||
\(358\) | −9.46790 | − | 4.82414i | −0.500394 | − | 0.254963i | ||||
\(359\) | −2.64887 | − | 1.92452i | −0.139802 | − | 0.101572i | 0.515686 | − | 0.856778i | \(-0.327537\pi\) |
−0.655488 | + | 0.755205i | \(0.727537\pi\) | |||||||
\(360\) | −13.2971 | + | 24.1403i | −0.700821 | + | 1.27231i | ||||
\(361\) | −0.549801 | + | 1.69211i | −0.0289369 | + | 0.0890586i | ||||
\(362\) | −16.2374 | − | 16.2374i | −0.853418 | − | 0.853418i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 28.4079i | 1.48898i | ||||||||
\(365\) | 3.93010 | − | 0.493202i | 0.205711 | − | 0.0258154i | ||||
\(366\) | 11.2103 | − | 8.14479i | 0.585974 | − | 0.425735i | ||||
\(367\) | −18.0053 | + | 2.85177i | −0.939871 | + | 0.148861i | −0.607529 | − | 0.794298i | \(-0.707839\pi\) |
−0.332342 | + | 0.943159i | \(0.607839\pi\) | |||||||
\(368\) | 0.236091 | − | 0.463354i | 0.0123071 | − | 0.0241540i | ||||
\(369\) | 2.81505 | + | 8.66382i | 0.146545 | + | 0.451020i | ||||
\(370\) | −34.2022 | + | 23.2026i | −1.77809 | + | 1.20625i | ||||
\(371\) | 6.25607 | + | 8.61074i | 0.324799 | + | 0.447047i | ||||
\(372\) | 9.63872 | + | 18.9171i | 0.499744 | + | 0.980803i | ||||
\(373\) | 12.4917 | − | 12.4917i | 0.646795 | − | 0.646795i | −0.305422 | − | 0.952217i | \(-0.598798\pi\) |
0.952217 | + | 0.305422i | \(0.0987976\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.47189 | + | 1.67874i | 0.334207 | + | 0.0866895i | ||||
\(376\) | 4.69034 | + | 1.52398i | 0.241886 | + | 0.0785935i | ||||
\(377\) | 3.04941 | − | 19.2532i | 0.157052 | − | 0.991590i | ||||
\(378\) | −3.31503 | − | 20.9303i | −0.170507 | − | 1.07654i | ||||
\(379\) | −20.9834 | + | 6.81794i | −1.07785 | + | 0.350214i | −0.793539 | − | 0.608519i | \(-0.791764\pi\) |
−0.284308 | + | 0.958733i | \(0.591764\pi\) | |||||||
\(380\) | 1.17172 | − | 36.3325i | 0.0601078 | − | 1.86382i | ||||
\(381\) | 0.834843 | − | 1.14906i | 0.0427703 | − | 0.0588683i | ||||
\(382\) | −15.5518 | − | 2.46316i | −0.795697 | − | 0.126026i | ||||
\(383\) | 17.5437 | − | 8.93896i | 0.896441 | − | 0.456759i | 0.0558556 | − | 0.998439i | \(-0.482211\pi\) |
0.840585 | + | 0.541680i | \(0.182211\pi\) | |||||||
\(384\) | 12.0594 | 0.615402 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.44874 | 0.124638 | ||||||||
\(387\) | −13.0464 | + | 6.64748i | −0.663187 | + | 0.337910i | ||||
\(388\) | −55.8086 | − | 8.83921i | −2.83325 | − | 0.448743i | ||||
\(389\) | 10.0633 | − | 13.8509i | 0.510227 | − | 0.702268i | −0.473730 | − | 0.880670i | \(-0.657093\pi\) |
0.983958 | + | 0.178402i | \(0.0570929\pi\) | |||||||
\(390\) | −6.24903 | − | 6.66552i | −0.316432 | − | 0.337522i | ||||
\(391\) | −0.132991 | + | 0.0432114i | −0.00672564 | + | 0.00218529i | ||||
\(392\) | 0.244242 | + | 1.54208i | 0.0123361 | + | 0.0778870i | ||||
\(393\) | −0.292315 | + | 1.84560i | −0.0147453 | + | 0.0930983i | ||||
\(394\) | −56.7417 | − | 18.4365i | −2.85860 | − | 0.928816i | ||||
\(395\) | −3.29629 | + | 9.13221i | −0.165854 | + | 0.459491i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.24887 | − | 5.24887i | 0.263433 | − | 0.263433i | −0.563014 | − | 0.826447i | \(-0.690358\pi\) |
0.826447 | + | 0.563014i | \(0.190358\pi\) | |||||||
\(398\) | −3.59562 | − | 7.05679i | −0.180232 | − | 0.353725i | ||||
\(399\) | 3.76591 | + | 5.18333i | 0.188531 | + | 0.259491i | ||||
\(400\) | −4.33877 | − | 17.0146i | −0.216938 | − | 0.850728i | ||||
\(401\) | 3.79327 | + | 11.6745i | 0.189427 | + | 0.582996i | 0.999996 | − | 0.00264628i | \(-0.000842338\pi\) |
−0.810570 | + | 0.585642i | \(0.800842\pi\) | |||||||
\(402\) | 2.75072 | − | 5.39858i | 0.137193 | − | 0.269257i | ||||
\(403\) | 25.1413 | − | 3.98199i | 1.25238 | − | 0.198357i | ||||
\(404\) | 6.13319 | − | 4.45603i | 0.305138 | − | 0.221696i | ||||
\(405\) | −10.4340 | − | 8.10722i | −0.518471 | − | 0.402851i | ||||
\(406\) | 43.5854i | 2.16311i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 1.86260 | + | 1.86260i | 0.0922125 | + | 0.0922125i | ||||
\(409\) | −8.26899 | + | 25.4493i | −0.408875 | + | 1.25839i | 0.508740 | + | 0.860920i | \(0.330111\pi\) |
−0.917616 | + | 0.397469i | \(0.869889\pi\) | |||||||
\(410\) | −16.4257 | − | 9.04769i | −0.811205 | − | 0.446833i | ||||
\(411\) | 8.00021 | + | 5.81249i | 0.394621 | + | 0.286709i | ||||
\(412\) | −6.00109 | − | 3.05771i | −0.295653 | − | 0.150643i | ||||
\(413\) | 14.9104 | + | 7.59722i | 0.733692 | + | 0.373835i | ||||
\(414\) | 0.770055 | + | 0.559478i | 0.0378462 | + | 0.0274968i | ||||
\(415\) | 16.2396 | + | 8.94521i | 0.797172 | + | 0.439103i | ||||
\(416\) | 0.682387 | − | 2.10017i | 0.0334568 | − | 0.102969i | ||||
\(417\) | 1.82697 | + | 1.82697i | 0.0894672 | + | 0.0894672i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.2401i | 0.695676i | 0.937555 | + | 0.347838i | \(0.113084\pi\) | ||||
−0.937555 | + | 0.347838i | \(0.886916\pi\) | |||||||
\(420\) | 10.6796 | + | 8.29800i | 0.521110 | + | 0.404901i | ||||
\(421\) | 5.58723 | − | 4.05936i | 0.272305 | − | 0.197841i | −0.443249 | − | 0.896398i | \(-0.646174\pi\) |
0.715554 | + | 0.698557i | \(0.246174\pi\) | |||||||
\(422\) | 59.6849 | − | 9.45316i | 2.90541 | − | 0.460172i | ||||
\(423\) | −1.26834 | + | 2.48925i | −0.0616686 | + | 0.121031i | ||||
\(424\) | 5.94238 | + | 18.2888i | 0.288588 | + | 0.888181i | ||||
\(425\) | −2.41015 | + | 4.06007i | −0.116909 | + | 0.196943i | ||||
\(426\) | 1.08257 | + | 1.49003i | 0.0524508 | + | 0.0721924i | ||||
\(427\) | 11.1643 | + | 21.9112i | 0.540279 | + | 1.06036i | ||||
\(428\) | −11.5209 | + | 11.5209i | −0.556882 | + | 0.556882i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 10.2335 | − | 28.3515i | 0.493505 | − | 1.36723i | ||||
\(431\) | −6.78988 | − | 2.20617i | −0.327057 | − | 0.106267i | 0.140886 | − | 0.990026i | \(-0.455005\pi\) |
−0.467943 | + | 0.883759i | \(0.655005\pi\) | |||||||
\(432\) | 1.85371 | − | 11.7038i | 0.0891865 | − | 0.563101i | ||||
\(433\) | −2.62850 | − | 16.5957i | −0.126318 | − | 0.797540i | −0.966769 | − | 0.255652i | \(-0.917710\pi\) |
0.840451 | − | 0.541888i | \(-0.182290\pi\) | |||||||
\(434\) | −54.1293 | + | 17.5877i | −2.59829 | + | 0.844236i | ||||
\(435\) | −6.34725 | − | 6.77029i | −0.304327 | − | 0.324611i | ||||
\(436\) | −7.42193 | + | 10.2154i | −0.355446 | + | 0.489229i | ||||
\(437\) | −0.606943 | − | 0.0961303i | −0.0290340 | − | 0.00459854i | ||||
\(438\) | −2.29603 | + | 1.16988i | −0.109708 | + | 0.0558992i | ||||
\(439\) | 0.772934 | 0.0368901 | 0.0184451 | − | 0.999830i | \(-0.494128\pi\) | ||||
0.0184451 | + | 0.999830i | \(0.494128\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.884459 | −0.0421171 | ||||||||
\(442\) | 5.74890 | − | 2.92921i | 0.273447 | − | 0.139328i | ||||
\(443\) | −18.5585 | − | 2.93938i | −0.881741 | − | 0.139654i | −0.300885 | − | 0.953660i | \(-0.597282\pi\) |
−0.580856 | + | 0.814007i | \(0.697282\pi\) | |||||||
\(444\) | 10.4629 | − | 14.4009i | 0.496547 | − | 0.683439i | ||||
\(445\) | −0.304945 | + | 9.45571i | −0.0144558 | + | 0.448244i | ||||
\(446\) | 45.3221 | − | 14.7261i | 2.14607 | − | 0.697299i | ||||
\(447\) | 0.790006 | + | 4.98790i | 0.0373660 | + | 0.235920i | ||||
\(448\) | −3.60902 | + | 22.7865i | −0.170510 | + | 1.07656i | ||||
\(449\) | −0.678469 | − | 0.220448i | −0.0320189 | − | 0.0104036i | 0.292964 | − | 0.956124i | \(-0.405358\pi\) |
−0.324983 | + | 0.945720i | \(0.605358\pi\) | |||||||
\(450\) | 32.0014 | − | 2.97190i | 1.50856 | − | 0.140097i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 30.8954 | − | 30.8954i | 1.45320 | − | 1.45320i | ||||
\(453\) | 3.23957 | + | 6.35802i | 0.152208 | + | 0.298726i | ||||
\(454\) | −1.46261 | − | 2.01311i | −0.0686437 | − | 0.0944800i | ||||
\(455\) | 13.4185 | − | 9.10309i | 0.629070 | − | 0.426760i | ||||
\(456\) | 3.57709 | + | 11.0091i | 0.167512 | + | 0.515550i | ||||
\(457\) | −8.78244 | + | 17.2365i | −0.410825 | + | 0.806290i | −0.999999 | − | 0.00171662i | \(-0.999454\pi\) |
0.589173 | + | 0.808007i | \(0.299454\pi\) | |||||||
\(458\) | −0.244706 | + | 0.0387577i | −0.0114344 | + | 0.00181103i | ||||
\(459\) | −2.57780 | + | 1.87288i | −0.120321 | + | 0.0874186i | ||||
\(460\) | −1.28707 | + | 0.161519i | −0.0600099 | + | 0.00753086i | ||||
\(461\) | − | 36.5277i | − | 1.70126i | −0.525761 | − | 0.850632i | \(-0.676219\pi\) | ||
0.525761 | − | 0.850632i | \(-0.323781\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.1422 | − | 17.1422i | −0.796664 | − | 0.796664i | 0.185904 | − | 0.982568i | \(-0.440479\pi\) |
−0.982568 | + | 0.185904i | \(0.940479\pi\) | |||||||
\(464\) | −7.53141 | + | 23.1793i | −0.349637 | + | 1.07607i | ||||
\(465\) | 5.84686 | − | 10.6147i | 0.271142 | − | 0.492245i | ||||
\(466\) | 42.1155 | + | 30.5987i | 1.95096 | + | 1.41746i | ||||
\(467\) | 13.2045 | + | 6.72802i | 0.611031 | + | 0.311336i | 0.731983 | − | 0.681323i | \(-0.238595\pi\) |
−0.120953 | + | 0.992658i | \(0.538595\pi\) | |||||||
\(468\) | −25.9062 | − | 13.1999i | −1.19752 | − | 0.610165i | ||||
\(469\) | 8.69924 | + | 6.32036i | 0.401693 | + | 0.291847i | ||||
\(470\) | −1.59995 | − | 5.52402i | −0.0738002 | − | 0.254804i | ||||
\(471\) | −0.251606 | + | 0.774365i | −0.0115934 | + | 0.0356808i | ||||
\(472\) | 21.3791 | + | 21.3791i | 0.984051 | + | 0.984051i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 6.31640i | − | 0.290122i | ||||||
\(475\) | −17.5372 | + | 11.0890i | −0.804663 | + | 0.508799i | ||||
\(476\) | −7.72663 | + | 5.61373i | −0.354150 | + | 0.257305i | ||||
\(477\) | −10.7594 | + | 1.70412i | −0.492638 | + | 0.0780263i | ||||
\(478\) | −9.56795 | + | 18.7782i | −0.437628 | + | 0.858893i | ||||
\(479\) | −8.52455 | − | 26.2359i | −0.389496 | − | 1.19875i | −0.933165 | − | 0.359447i | \(-0.882965\pi\) |
0.543669 | − | 0.839300i | \(-0.317035\pi\) | |||||||
\(480\) | −0.590205 | − | 0.870000i | −0.0269391 | − | 0.0397099i | ||||
\(481\) | −12.5443 | − | 17.2658i | −0.571973 | − | 0.787253i | ||||
\(482\) | −11.7607 | − | 23.0817i | −0.535685 | − | 1.05134i | ||||
\(483\) | 0.161663 | − | 0.161663i | 0.00735592 | − | 0.00735592i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 13.7082 | + | 29.1938i | 0.622459 | + | 1.32562i | ||||
\(486\) | 31.5950 | + | 10.2658i | 1.43318 | + | 0.465667i | ||||
\(487\) | 6.08463 | − | 38.4169i | 0.275721 | − | 1.74083i | −0.328940 | − | 0.944351i | \(-0.606691\pi\) |
0.604661 | − | 0.796483i | \(-0.293309\pi\) | |||||||
\(488\) | 6.95046 | + | 43.8835i | 0.314632 | + | 1.98651i | ||||
\(489\) | 13.0491 | − | 4.23990i | 0.590100 | − | 0.191735i | ||||
\(490\) | 1.32826 | − | 1.24526i | 0.0600045 | − | 0.0562551i | ||||
\(491\) | −11.0511 | + | 15.2106i | −0.498730 | + | 0.686443i | −0.981968 | − | 0.189046i | \(-0.939461\pi\) |
0.483238 | + | 0.875489i | \(0.339461\pi\) | |||||||
\(492\) | 7.97726 | + | 1.26347i | 0.359643 | + | 0.0569618i | ||||
\(493\) | 5.83926 | − | 2.97525i | 0.262987 | − | 0.133999i | ||||
\(494\) | 28.3541 | 1.27571 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −31.8258 | −1.42902 | ||||||||
\(497\) | −2.91235 | + | 1.48392i | −0.130637 | + | 0.0665628i | ||||
\(498\) | −11.9134 | − | 1.88690i | −0.533853 | − | 0.0845539i | ||||
\(499\) | 3.07983 | − | 4.23902i | 0.137872 | − | 0.189765i | −0.734498 | − | 0.678611i | \(-0.762582\pi\) |
0.872370 | + | 0.488846i | \(0.162582\pi\) | |||||||
\(500\) | −29.0458 | + | 32.7825i | −1.29897 | + | 1.46608i | ||||
\(501\) | −8.16748 | + | 2.65378i | −0.364896 | + | 0.118562i | ||||
\(502\) | −3.57445 | − | 22.5682i | −0.159535 | − | 1.00727i | ||||
\(503\) | 2.06374 | − | 13.0299i | 0.0920176 | − | 0.580976i | −0.897996 | − | 0.440004i | \(-0.854977\pi\) |
0.990014 | − | 0.140973i | \(-0.0450229\pi\) | |||||||
\(504\) | 30.2632 | + | 9.83310i | 1.34803 | + | 0.438001i | ||||
\(505\) | −4.07015 | − | 1.46913i | −0.181119 | − | 0.0653754i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2.16111 | + | 2.16111i | −0.0959784 | + | 0.0959784i | ||||
\(508\) | 4.22403 | + | 8.29012i | 0.187411 | + | 0.367815i | ||||
\(509\) | 3.28913 | + | 4.52710i | 0.145788 | + | 0.200660i | 0.875666 | − | 0.482918i | \(-0.160423\pi\) |
−0.729878 | + | 0.683578i | \(0.760423\pi\) | |||||||
\(510\) | 0.578069 | − | 3.01685i | 0.0255973 | − | 0.133589i | ||||
\(511\) | −1.41320 | − | 4.34937i | −0.0625162 | − | 0.192405i | ||||
\(512\) | −16.1269 | + | 31.6509i | −0.712716 | + | 1.39878i | ||||
\(513\) | −13.8301 | + | 2.19047i | −0.610612 | + | 0.0967114i | ||||
\(514\) | −36.2897 | + | 26.3660i | −1.60067 | + | 1.16295i | ||||
\(515\) | 0.478689 | + | 3.81445i | 0.0210936 | + | 0.168085i | ||||
\(516\) | 12.9820i | 0.571500i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 33.7421 | + | 33.7421i | 1.48254 | + | 1.48254i | ||||
\(519\) | 4.12129 | − | 12.6840i | 0.180904 | − | 0.556767i | ||||
\(520\) | 28.1396 | − | 8.15021i | 1.23400 | − | 0.357410i | ||||
\(521\) | −15.4337 | − | 11.2132i | −0.676163 | − | 0.491261i | 0.195920 | − | 0.980620i | \(-0.437231\pi\) |
−0.872082 | + | 0.489359i | \(0.837231\pi\) | |||||||
\(522\) | −39.7472 | − | 20.2522i | −1.73969 | − | 0.886415i | ||||
\(523\) | −31.2730 | − | 15.9344i | −1.36747 | − | 0.696762i | −0.392638 | − | 0.919693i | \(-0.628437\pi\) |
−0.974834 | + | 0.222932i | \(0.928437\pi\) | |||||||
\(524\) | −9.90306 | − | 7.19499i | −0.432617 | − | 0.314315i | ||||
\(525\) | 0.497394 | − | 7.70356i | 0.0217081 | − | 0.336211i | ||||
\(526\) | 12.6430 | − | 38.9112i | 0.551262 | − | 1.69661i | ||||
\(527\) | 6.05128 | + | 6.05128i | 0.263598 | + | 0.263598i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 22.9781i | − | 0.999047i | ||||||
\(530\) | 13.7589 | − | 17.7077i | 0.597647 | − | 0.769174i | ||||
\(531\) | −13.8564 | + | 10.0673i | −0.601317 | + | 0.436882i | ||||
\(532\) | −41.4539 | + | 6.56565i | −1.79725 | + | 0.284657i | ||||
\(533\) | 4.39619 | − | 8.62800i | 0.190420 | − | 0.373720i | ||||
\(534\) | −1.90196 | − | 5.85364i | −0.0823060 | − | 0.253312i | ||||
\(535\) | 9.13369 | + | 1.75013i | 0.394884 | + | 0.0756649i | ||||
\(536\) | 11.4193 | + | 15.7173i | 0.493237 | + | 0.678882i | ||||
\(537\) | −1.18595 | − | 2.32756i | −0.0511775 | − | 0.100441i | ||||
\(538\) | −48.9484 | + | 48.9484i | −2.11031 | + | 2.11031i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −26.7550 | + | 12.5631i | −1.15135 | + | 0.540628i | ||||
\(541\) | −2.41645 | − | 0.785152i | −0.103891 | − | 0.0337563i | 0.256610 | − | 0.966515i | \(-0.417394\pi\) |
−0.360501 | + | 0.932759i | \(0.617394\pi\) | |||||||
\(542\) | −11.2953 | + | 71.3159i | −0.485176 | + | 3.06328i | ||||
\(543\) | −0.883100 | − | 5.57568i | −0.0378975 | − | 0.239275i | ||||
\(544\) | 0.706072 | − | 0.229417i | 0.0302726 | − | 0.00983616i | ||||
\(545\) | 7.20358 | + | 0.232314i | 0.308567 | + | 0.00995125i | ||||
\(546\) | −6.20059 | + | 8.53438i | −0.265361 | + | 0.365238i | ||||
\(547\) | −14.6420 | − | 2.31906i | −0.626045 | − | 0.0991559i | −0.164652 | − | 0.986352i | \(-0.552650\pi\) |
−0.461393 | + | 0.887196i | \(0.652650\pi\) | |||||||
\(548\) | −57.7189 | + | 29.4093i | −2.46563 | + | 1.25630i | ||||
\(549\) | −25.1693 | −1.07420 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 28.7998 | 1.22691 | ||||||||
\(552\) | 0.368046 | − | 0.187529i | 0.0156651 | − | 0.00798176i | ||||
\(553\) | 11.0717 | + | 1.75358i | 0.470816 | + | 0.0745700i | ||||
\(554\) | −17.7582 | + | 24.4421i | −0.754474 | + | 1.03844i | ||||
\(555\) | −10.1551 | − | 0.327500i | −0.431059 | − | 0.0139016i | ||||
\(556\) | −16.0971 | + | 5.23025i | −0.682667 | + | 0.221812i | ||||
\(557\) | 1.99631 | + | 12.6042i | 0.0845865 | + | 0.534058i | 0.993200 | + | 0.116420i | \(0.0371419\pi\) |
−0.908614 | + | 0.417638i | \(0.862858\pi\) | |||||||
\(558\) | 9.11263 | − | 57.5349i | 0.385768 | − | 2.43564i | ||||
\(559\) | 14.8028 | + | 4.80971i | 0.626090 | + | 0.203429i | ||||
\(560\) | −18.3510 | + | 8.61687i | −0.775470 | + | 0.364129i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −37.6272 | + | 37.6272i | −1.58721 | + | 1.58721i | ||||
\(563\) | −15.2231 | − | 29.8770i | −0.641578 | − | 1.25917i | −0.951278 | − | 0.308333i | \(-0.900229\pi\) |
0.309701 | − | 0.950834i | \(-0.399771\pi\) | |||||||
\(564\) | 1.45592 | + | 2.00390i | 0.0613052 | + | 0.0843794i | ||||
\(565\) | −24.4937 | − | 4.69332i | −1.03046 | − | 0.197449i | ||||
\(566\) | 20.4447 | + | 62.9224i | 0.859356 | + | 2.64483i | ||||
\(567\) | −6.92609 | + | 13.5932i | −0.290868 | + | 0.570862i | ||||
\(568\) | −5.83282 | + | 0.923828i | −0.244740 | + | 0.0387629i | ||||
\(569\) | −6.73005 | + | 4.88967i | −0.282139 | + | 0.204986i | −0.719850 | − | 0.694130i | \(-0.755789\pi\) |
0.437711 | + | 0.899116i | \(0.355789\pi\) | |||||||
\(570\) | 8.28231 | − | 10.6594i | 0.346908 | − | 0.446472i | ||||
\(571\) | − | 45.2601i | − | 1.89408i | −0.321118 | − | 0.947039i | \(-0.604059\pi\) | ||
0.321118 | − | 0.947039i | \(-0.395941\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.73710 | − | 2.73710i | −0.114344 | − | 0.114344i | ||||
\(574\) | −6.69067 | + | 20.5918i | −0.279263 | + | 0.859484i | ||||
\(575\) | 0.488726 | + | 0.556193i | 0.0203813 | + | 0.0231949i | ||||
\(576\) | −19.1029 | − | 13.8791i | −0.795955 | − | 0.578295i | ||||
\(577\) | 20.4344 | + | 10.4119i | 0.850697 | + | 0.433452i | 0.824269 | − | 0.566199i | \(-0.191587\pi\) |
0.0264283 | + | 0.999651i | \(0.491587\pi\) | |||||||
\(578\) | −34.9140 | − | 17.7896i | −1.45223 | − | 0.739948i | ||||
\(579\) | 0.487020 | + | 0.353841i | 0.0202399 | + | 0.0147051i | ||||
\(580\) | 58.3935 | − | 16.9128i | 2.42466 | − | 0.702265i | ||||
\(581\) | 6.61489 | − | 20.3586i | 0.274432 | − | 0.844615i | ||||
\(582\) | −14.8369 | − | 14.8369i | −0.615007 | − | 0.615007i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 8.26259i | − | 0.341908i | ||||||
\(585\) | 2.06646 | + | 16.4667i | 0.0854378 | + | 0.680814i | ||||
\(586\) | 39.5811 | − | 28.7573i | 1.63508 | − | 1.18795i | ||||
\(587\) | −9.97239 | + | 1.57947i | −0.411605 | + | 0.0651917i | −0.358803 | − | 0.933413i | \(-0.616815\pi\) |
−0.0528014 | + | 0.998605i | \(0.516815\pi\) | |||||||
\(588\) | −0.356004 | + | 0.698697i | −0.0146814 | + | 0.0288138i | ||||
\(589\) | 11.6214 | + | 35.7669i | 0.478850 | + | 1.47375i | ||||
\(590\) | 6.63511 | − | 34.6277i | 0.273163 | − | 1.42560i | ||||
\(591\) | −8.62106 | − | 11.8659i | −0.354623 | − | 0.488097i | ||||
\(592\) | 12.1140 | + | 23.7750i | 0.497881 | + | 0.977147i | ||||
\(593\) | 9.47168 | − | 9.47168i | 0.388955 | − | 0.388955i | −0.485359 | − | 0.874315i | \(-0.661311\pi\) |
0.874315 | + | 0.485359i | \(0.161311\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.12760 | + | 1.85082i | 0.210211 | + | 0.0758761i | ||||
\(596\) | −31.4628 | − | 10.2229i | −1.28877 | − | 0.418746i | ||||
\(597\) | 0.304583 | − | 1.92306i | 0.0124657 | − | 0.0787056i | ||||
\(598\) | −0.158279 | − | 0.999334i | −0.00647251 | − | 0.0408658i | ||||
\(599\) | 38.0508 | − | 12.3635i | 1.55471 | − | 0.505157i | 0.599325 | − | 0.800506i | \(-0.295436\pi\) |
0.955390 | + | 0.295349i | \(0.0954358\pi\) | |||||||
\(600\) | 5.15568 | − | 12.9594i | 0.210480 | − | 0.529066i | ||||
\(601\) | −21.3719 | + | 29.4160i | −0.871780 | + | 1.19990i | 0.106850 | + | 0.994275i | \(0.465923\pi\) |
−0.978630 | + | 0.205627i | \(0.934077\pi\) | |||||||
\(602\) | −34.3728 | − | 5.44411i | −1.40093 | − | 0.221885i | ||||
\(603\) | −9.80594 | + | 4.99638i | −0.399329 | + | 0.203468i | ||||
\(604\) | −46.7449 | −1.90202 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2.81517 | 0.114358 | ||||||||
\(607\) | 22.2128 | − | 11.3180i | 0.901590 | − | 0.459383i | 0.0591966 | − | 0.998246i | \(-0.481146\pi\) |
0.842393 | + | 0.538863i | \(0.181146\pi\) | |||||||
\(608\) | 3.22236 | + | 0.510372i | 0.130684 | + | 0.0206983i | ||||
\(609\) | −6.29805 | + | 8.66852i | −0.255210 | + | 0.351266i | ||||
\(610\) | 37.7985 | − | 35.4367i | 1.53042 | − | 1.43479i | ||||
\(611\) | 2.82436 | − | 0.917690i | 0.114261 | − | 0.0371258i | ||||
\(612\) | −1.52915 | − | 9.65467i | −0.0618122 | − | 0.390267i | ||||
\(613\) | −1.82887 | + | 11.5470i | −0.0738674 | + | 0.466380i | 0.922832 | + | 0.385202i | \(0.125868\pi\) |
−0.996700 | + | 0.0811783i | \(0.974132\pi\) | |||||||
\(614\) | 48.0699 | + | 15.6188i | 1.93994 | + | 0.630325i | ||||
\(615\) | −1.95945 | − | 4.17295i | −0.0790126 | − | 0.168270i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 6.18386 | − | 6.18386i | 0.248953 | − | 0.248953i | −0.571588 | − | 0.820541i | \(-0.693672\pi\) |
0.820541 | + | 0.571588i | \(0.193672\pi\) | |||||||
\(618\) | −1.13546 | − | 2.22847i | −0.0456749 | − | 0.0896420i | ||||
\(619\) | 0.645775 | + | 0.888833i | 0.0259559 | + | 0.0357252i | 0.821798 | − | 0.569779i | \(-0.192971\pi\) |
−0.795842 | + | 0.605505i | \(0.792971\pi\) | |||||||
\(620\) | 44.5673 | + | 65.6950i | 1.78987 | + | 2.63838i | ||||
\(621\) | 0.154405 | + | 0.475209i | 0.00619605 | + | 0.0190695i | ||||
\(622\) | 25.7086 | − | 50.4560i | 1.03082 | − | 2.02310i | ||||
\(623\) | 10.7886 | − | 1.70874i | 0.432235 | − | 0.0684593i | ||||
\(624\) | −4.77227 | + | 3.46725i | −0.191044 | + | 0.138801i | ||||
\(625\) | 24.7924 | + | 3.21494i | 0.991697 | + | 0.128598i | ||||
\(626\) | 34.1000i | 1.36291i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.77153 | − | 3.77153i | −0.150501 | − | 0.150501i | ||||
\(629\) | 2.21720 | − | 6.82385i | 0.0884057 | − | 0.272085i | ||||
\(630\) | −10.3232 | − | 35.6422i | −0.411288 | − | 1.42002i | ||||
\(631\) | 2.63807 | + | 1.91667i | 0.105020 | + | 0.0763014i | 0.639056 | − | 0.769160i | \(-0.279325\pi\) |
−0.534036 | + | 0.845462i | \(0.679325\pi\) | |||||||
\(632\) | 18.0456 | + | 9.19468i | 0.717814 | + | 0.365745i | ||||
\(633\) | 13.2365 | + | 6.74431i | 0.526102 | + | 0.268062i | ||||
\(634\) | −58.0563 | − | 42.1804i | −2.30571 | − | 1.67520i | ||||
\(635\) | 2.56230 | − | 4.65174i | 0.101682 | − | 0.184599i | ||||
\(636\) | −2.98456 | + | 9.18554i | −0.118346 | + | 0.364230i | ||||
\(637\) | 0.664797 | + | 0.664797i | 0.0263402 | + | 0.0263402i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 3.34540i | − | 0.132342i | ||||||
\(640\) | 44.7405 | − | 5.61465i | 1.76852 | − | 0.221938i | ||||
\(641\) | 7.21025 | − | 5.23855i | 0.284788 | − | 0.206910i | −0.436215 | − | 0.899842i | \(-0.643681\pi\) |
0.721003 | + | 0.692932i | \(0.243681\pi\) | |||||||
\(642\) | −5.97579 | + | 0.946473i | −0.235846 | + | 0.0373543i | ||||
\(643\) | −16.8433 | + | 33.0569i | −0.664237 | + | 1.30364i | 0.275355 | + | 0.961342i | \(0.411204\pi\) |
−0.939592 | + | 0.342296i | \(0.888796\pi\) | |||||||
\(644\) | 0.462809 | + | 1.42438i | 0.0182372 | + | 0.0561284i | ||||
\(645\) | 6.13207 | − | 4.15998i | 0.241450 | − | 0.163799i | ||||
\(646\) | 5.60311 | + | 7.71202i | 0.220451 | + | 0.303425i | ||||
\(647\) | −10.0113 | − | 19.6483i | −0.393585 | − | 0.772455i | 0.606153 | − | 0.795348i | \(-0.292712\pi\) |
−0.999738 | + | 0.0228938i | \(0.992712\pi\) | |||||||
\(648\) | −19.4905 | + | 19.4905i | −0.765657 | + | 0.765657i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −26.2874 | − | 21.8198i | −1.03108 | − | 0.855842i | ||||
\(651\) | −13.3070 | − | 4.32369i | −0.521541 | − | 0.169459i | ||||
\(652\) | −14.0605 | + | 88.7743i | −0.550650 | + | 3.47667i | ||||
\(653\) | 7.59976 | + | 47.9830i | 0.297402 | + | 1.87772i | 0.455409 | + | 0.890282i | \(0.349493\pi\) |
−0.158008 | + | 0.987438i | \(0.550507\pi\) | |||||||
\(654\) | −4.45944 | + | 1.44896i | −0.174378 | + | 0.0566588i | ||||
\(655\) | −0.225211 | + | 6.98332i | −0.00879972 | + | 0.272861i | ||||
\(656\) | −7.11638 | + | 9.79485i | −0.277848 | + | 0.382425i | ||||
\(657\) | 4.62301 | + | 0.732213i | 0.180361 | + | 0.0285664i | ||||
\(658\) | −5.91633 | + | 3.01452i | −0.230643 | + | 0.117518i | ||||
\(659\) | −47.3029 | −1.84266 | −0.921329 | − | 0.388783i | \(-0.872896\pi\) | ||||
−0.921329 | + | 0.388783i | \(0.872896\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.7159 | −1.03913 | −0.519564 | − | 0.854432i | \(-0.673906\pi\) | ||||
−0.519564 | + | 0.854432i | \(0.673906\pi\) | |||||||
\(662\) | −4.73719 | + | 2.41372i | −0.184116 | + | 0.0938118i | ||||
\(663\) | 1.56664 | + | 0.248132i | 0.0608434 | + | 0.00963665i | ||||
\(664\) | 22.7329 | − | 31.2891i | 0.882207 | − | 1.21425i | ||||
\(665\) | 16.3849 | + | 17.4769i | 0.635379 | + | 0.677726i | ||||
\(666\) | −46.4492 | + | 15.0923i | −1.79987 | + | 0.584813i | ||||
\(667\) | −0.160767 | − | 1.01504i | −0.00622491 | − | 0.0393025i | ||||
\(668\) | 8.80051 | − | 55.5642i | 0.340502 | − | 2.14985i | ||||
\(669\) | 11.1418 | + | 3.62020i | 0.430768 | + | 0.139965i | ||||
\(670\) | 7.69172 | − | 21.3095i | 0.297157 | − | 0.823260i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −0.858297 | + | 0.858297i | −0.0331095 | + | 0.0331095i | ||||
\(673\) | 6.00870 | + | 11.7927i | 0.231618 | + | 0.454576i | 0.977338 | − | 0.211683i | \(-0.0678944\pi\) |
−0.745720 | + | 0.666259i | \(0.767894\pi\) | |||||||
\(674\) | 2.57659 | + | 3.54637i | 0.0992464 | + | 0.136601i | ||||
\(675\) | 14.5076 | + | 8.61205i | 0.558399 | + | 0.331478i | ||||
\(676\) | −6.18684 | − | 19.0411i | −0.237955 | − | 0.732351i | ||||
\(677\) | 15.6128 | − | 30.6419i | 0.600050 | − | 1.17767i | −0.368682 | − | 0.929556i | \(-0.620191\pi\) |
0.968732 | − | 0.248110i | \(-0.0798093\pi\) | |||||||
\(678\) | 16.0252 | − | 2.53815i | 0.615446 | − | 0.0974770i | ||||
\(679\) | 30.1258 | − | 21.8877i | 1.15612 | − | 0.839972i | ||||
\(680\) | 7.77748 | + | 6.04309i | 0.298253 | + | 0.231742i | ||||
\(681\) | − | 0.611726i | − | 0.0234414i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 27.9495 | + | 27.9495i | 1.06946 | + | 1.06946i | 0.997401 | + | 0.0720555i | \(0.0229559\pi\) |
0.0720555 | + | 0.997401i | \(0.477044\pi\) | |||||||
\(684\) | 13.2743 | − | 40.8541i | 0.507556 | − | 1.56210i | ||||
\(685\) | 32.3872 | + | 17.8397i | 1.23745 | + | 0.681620i | ||||
\(686\) | −37.2666 | − | 27.0758i | −1.42284 | − | 1.03376i | ||||
\(687\) | −0.0542691 | − | 0.0276515i | −0.00207050 | − | 0.00105497i | ||||
\(688\) | −17.3392 | − | 8.83475i | −0.661050 | − | 0.336822i | ||||
\(689\) | 9.36810 | + | 6.80632i | 0.356896 | + | 0.259300i | ||||
\(690\) | −0.421920 | − | 0.232405i | −0.0160622 | − | 0.00884750i | ||||
\(691\) | 1.01180 | − | 3.11399i | 0.0384905 | − | 0.118462i | −0.929965 | − | 0.367648i | \(-0.880163\pi\) |
0.968456 | + | 0.249186i | \(0.0801631\pi\) | |||||||
\(692\) | 61.7773 | + | 61.7773i | 2.34842 | + | 2.34842i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 52.2333i | − | 1.98275i | ||||||
\(695\) | 7.62871 | + | 5.92749i | 0.289373 | + | 0.224843i | ||||
\(696\) | −15.6618 | + | 11.3789i | −0.593657 | + | 0.431317i | ||||
\(697\) | 3.21546 | − | 0.509279i | 0.121794 | − | 0.0192903i | ||||
\(698\) | 11.7686 | − | 23.0972i | 0.445449 | − | 0.874243i | ||||
\(699\) | 3.95470 | + | 12.1713i | 0.149580 | + | 0.460361i | ||||
\(700\) | 43.4848 | + | 25.8135i | 1.64357 | + | 0.975660i | ||||
\(701\) | 3.43439 | + | 4.72703i | 0.129715 | + | 0.178538i | 0.868934 | − | 0.494927i | \(-0.164805\pi\) |
−0.739219 | + | 0.673465i | \(0.764805\pi\) | |||||||
\(702\) | −10.4668 | − | 20.5422i | −0.395044 | − | 0.775317i | ||||
\(703\) | 22.2957 | − | 22.2957i | 0.840897 | − | 0.840897i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.480009 | − | 1.32984i | 0.0180782 | − | 0.0500847i | ||||
\(706\) | 25.3193 | + | 8.22673i | 0.952904 | + | 0.309617i | ||||
\(707\) | −0.781559 | + | 4.93457i | −0.0293935 | + | 0.185583i | ||||
\(708\) | 2.37550 | + | 14.9983i | 0.0892769 | + | 0.563672i | ||||
\(709\) | −38.0265 | + | 12.3555i | −1.42811 | + | 0.464022i | −0.918170 | − | 0.396186i | \(-0.870334\pi\) |
−0.509943 | + | 0.860208i | \(0.670334\pi\) | |||||||
\(710\) | 4.71010 | + | 5.02403i | 0.176767 | + | 0.188548i | ||||
\(711\) | −6.74369 | + | 9.28190i | −0.252908 | + | 0.348098i | ||||
\(712\) | 19.4921 | + | 3.08725i | 0.730499 | + | 0.115700i | ||||
\(713\) | 1.19572 | − | 0.609250i | 0.0447801 | − | 0.0228166i | ||||
\(714\) | −3.54657 | −0.132727 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 17.1125 | 0.639523 | ||||||||
\(717\) | −4.61636 | + | 2.35215i | −0.172401 | + | 0.0878427i | ||||
\(718\) | 7.86670 | + | 1.24596i | 0.293583 | + | 0.0464989i | ||||
\(719\) | 11.8728 | − | 16.3415i | 0.442781 | − | 0.609435i | −0.528047 | − | 0.849215i | \(-0.677075\pi\) |
0.970827 | + | 0.239780i | \(0.0770753\pi\) | |||||||
\(720\) | 0.668824 | − | 20.7388i | 0.0249256 | − | 0.772891i | ||||
\(721\) | 4.22139 | − | 1.37161i | 0.157213 | − | 0.0510816i | ||||
\(722\) | −0.677056 | − | 4.27476i | −0.0251974 | − | 0.159090i | ||||
\(723\) | 0.996243 | − | 6.29003i | 0.0370507 | − | 0.233929i | ||||
\(724\) | 35.1704 | + | 11.4276i | 1.30710 | + | 0.424702i | ||||
\(725\) | −26.7006 | − | 22.1627i | −0.991634 | − | 0.823103i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 26.5141 | − | 26.5141i | 0.983354 | − | 0.983354i | −0.0165102 | − | 0.999864i | \(-0.505256\pi\) |
0.999864 | + | 0.0165102i | \(0.00525558\pi\) | |||||||
\(728\) | −15.3561 | − | 30.1380i | −0.569135 | − | 1.11699i | ||||
\(729\) | −5.61971 | − | 7.73487i | −0.208138 | − | 0.286477i | ||||
\(730\) | −7.97363 | + | 5.40929i | −0.295117 | + | 0.200207i | ||||
\(731\) | 1.61701 | + | 4.97665i | 0.0598073 | + | 0.184068i | ||||
\(732\) | −10.1309 | + | 19.8830i | −0.374449 | + | 0.734897i | ||||
\(733\) | −31.5047 | + | 4.98986i | −1.16365 | + | 0.184305i | −0.708238 | − | 0.705974i | \(-0.750510\pi\) |
−0.455416 | + | 0.890279i | \(0.650510\pi\) | |||||||
\(734\) | 35.8763 | − | 26.0657i | 1.32422 | − | 0.962102i | ||||
\(735\) | 0.444110 | − | 0.0557330i | 0.0163813 | − | 0.00205574i | ||||
\(736\) | − | 0.116420i | − | 0.00429131i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −15.6696 | − | 15.6696i | −0.576805 | − | 0.576805i | ||||
\(739\) | −12.1034 | + | 37.2504i | −0.445231 | + | 1.37028i | 0.437000 | + | 0.899462i | \(0.356041\pi\) |
−0.882230 | + | 0.470818i | \(0.843959\pi\) | |||||||
\(740\) | 32.1127 | − | 58.2992i | 1.18049 | − | 2.14312i | ||||
\(741\) | 5.63924 | + | 4.09714i | 0.207162 | + | 0.150512i | ||||
\(742\) | −23.0692 | − | 11.7544i | −0.846897 | − | 0.431516i | ||||
\(743\) | −6.04541 | − | 3.08029i | −0.221785 | − | 0.113005i | 0.339568 | − | 0.940581i | \(-0.389719\pi\) |
−0.561353 | + | 0.827576i | \(0.689719\pi\) | |||||||
\(744\) | −20.4515 | − | 14.8589i | −0.749789 | − | 0.544754i | ||||
\(745\) | 5.25323 | + | 18.1374i | 0.192463 | + | 0.664503i | ||||
\(746\) | −13.2797 | + | 40.8706i | −0.486203 | + | 1.49638i | ||||
\(747\) | 15.4921 | + | 15.4921i | 0.566826 | + | 0.566826i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 10.7374i | − | 0.392337i | ||||||
\(750\) | −15.8815 | + | 3.50879i | −0.579909 | + | 0.128123i | ||||
\(751\) | 17.8734 | − | 12.9858i | 0.652209 | − | 0.473858i | −0.211814 | − | 0.977310i | \(-0.567937\pi\) |
0.864023 | + | 0.503452i | \(0.167937\pi\) | |||||||
\(752\) | −3.66728 | + | 0.580841i | −0.133732 | + | 0.0211811i | ||||
\(753\) | 2.55017 | − | 5.00499i | 0.0929334 | − | 0.182392i | ||||
\(754\) | 14.6533 | + | 45.0981i | 0.533640 | + | 1.64238i | ||||
\(755\) | 14.9791 | + | 22.0801i | 0.545144 | + | 0.803577i | ||||
\(756\) | 20.0592 | + | 27.6092i | 0.729547 | + | 1.00414i | ||||
\(757\) | −15.1880 | − | 29.8080i | −0.552016 | − | 1.08339i | −0.983439 | − | 0.181242i | \(-0.941988\pi\) |
0.431423 | − | 0.902150i | \(-0.358012\pi\) | |||||||
\(758\) | 37.9511 | − | 37.9511i | 1.37845 | − | 1.37845i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 18.3967 | + | 39.1787i | 0.667320 | + | 1.42116i | ||||
\(761\) | −24.7800 | − | 8.05150i | −0.898273 | − | 0.291867i | −0.176749 | − | 0.984256i | \(-0.556558\pi\) |
−0.721524 | + | 0.692389i | \(0.756558\pi\) | |||||||
\(762\) | −0.540490 | + | 3.41252i | −0.0195799 | + | 0.123623i | ||||
\(763\) | −1.30176 | − | 8.21898i | −0.0471269 | − | 0.297547i | ||||
\(764\) | 24.1160 | − | 7.83577i | 0.872487 | − | 0.283488i | ||||
\(765\) | −4.07040 | + | 3.81607i | −0.147166 | + | 0.137970i | ||||
\(766\) | −28.1532 | + | 38.7496i | −1.01722 | + | 1.40008i | ||||
\(767\) | 17.9820 | + | 2.84808i | 0.649294 | + | 0.102838i | ||||
\(768\) | −16.6151 | + | 8.46583i | −0.599547 | + | 0.305484i | ||||
\(769\) | 51.2907 | 1.84959 | 0.924794 | − | 0.380468i | \(-0.124237\pi\) | ||||
0.924794 | + | 0.380468i | \(0.124237\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.0274 | −0.397141 | ||||||||
\(772\) | −3.51369 | + | 1.79032i | −0.126461 | + | 0.0644349i | ||||
\(773\) | −16.3111 | − | 2.58343i | −0.586670 | − | 0.0929194i | −0.143959 | − | 0.989584i | \(-0.545983\pi\) |
−0.442711 | + | 0.896664i | \(0.645983\pi\) | |||||||
\(774\) | 20.9362 | − | 28.8162i | 0.752537 | − | 1.03578i | ||||
\(775\) | 16.7499 | − | 42.1030i | 0.601676 | − | 1.51238i | ||||
\(776\) | 63.9857 | − | 20.7902i | 2.29695 | − | 0.746325i | ||||
\(777\) | 1.83513 | + | 11.5865i | 0.0658348 | + | 0.415665i | ||||
\(778\) | −6.51510 | + | 41.1348i | −0.233578 | + | 1.47475i | ||||
\(779\) | 13.6064 | + | 4.42098i | 0.487499 | + | 0.158398i | ||||
\(780\) | 13.8400 | + | 4.99557i | 0.495551 | + | 0.178870i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0.240530 | − | 0.240530i | 0.00860135 | − | 0.00860135i | ||||
\(783\) | −10.6313 | − | 20.8651i | −0.379932 | − | 0.745658i | ||||
\(784\) | −0.690929 | − | 0.950982i | −0.0246760 | − | 0.0339636i | ||||
\(785\) | −0.572933 | + | 2.99005i | −0.0204489 | + | 0.106720i | ||||
\(786\) | −1.40466 | − | 4.32308i | −0.0501024 | − | 0.154199i | ||||
\(787\) | 2.01012 | − | 3.94509i | 0.0716531 | − | 0.140627i | −0.852401 | − | 0.522888i | \(-0.824854\pi\) |
0.924054 | + | 0.382261i | \(0.124854\pi\) | |||||||
\(788\) | 94.8977 | − | 15.0303i | 3.38059 | − | 0.535433i | ||||
\(789\) | 8.13715 | − | 5.91199i | 0.289690 | − | 0.210472i | ||||
\(790\) | −2.94081 | − | 23.4340i | −0.104629 | − | 0.833744i | ||||
\(791\) | 28.7945i | 1.02381i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.9183 | + | 18.9183i | 0.671808 | + | 0.671808i | ||||
\(794\) | −5.57997 | + | 17.1734i | −0.198026 | + | 0.609461i | ||||
\(795\) | 5.29519 | − | 1.53367i | 0.187801 | − | 0.0543938i | ||||
\(796\) | 10.3187 | + | 7.49696i | 0.365736 | + | 0.265723i | ||||
\(797\) | −17.1266 | − | 8.72643i | −0.606655 | − | 0.309106i | 0.123546 | − | 0.992339i | \(-0.460573\pi\) |
−0.730201 | + | 0.683233i | \(0.760573\pi\) | |||||||
\(798\) | −13.8868 | − | 7.07567i | −0.491587 | − | 0.250476i | ||||
\(799\) | 0.807729 | + | 0.586849i | 0.0285754 | + | 0.0207612i | ||||
\(800\) | −2.59473 | − | 2.95293i | −0.0917376 | − | 0.104402i | ||||
\(801\) | −3.45471 | + | 10.6325i | −0.122066 | + | 0.375681i | ||||
\(802\) | −21.1147 | − | 21.1147i | −0.745587 | − | 0.745587i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 9.75751i | 0.344121i | ||||||||
\(805\) | 0.524506 | − | 0.675041i | 0.0184864 | − | 0.0237921i | ||||
\(806\) | −50.0951 | + | 36.3962i | −1.76452 | + | 1.28200i | ||||
\(807\) | −16.8081 | + | 2.66215i | −0.591674 | + | 0.0937120i | ||||
\(808\) | −4.09799 | + | 8.04277i | −0.144167 | + | 0.282944i | ||||
\(809\) | −9.54622 | − | 29.3802i | −0.335627 | − | 1.03295i | −0.966412 | − | 0.256996i | \(-0.917267\pi\) |
0.630785 | − | 0.775957i | \(-0.282733\pi\) | |||||||
\(810\) | 31.5687 | + | 6.04897i | 1.10921 | + | 0.212539i | ||||
\(811\) | −14.7148 | − | 20.2531i | −0.516705 | − | 0.711184i | 0.468327 | − | 0.883555i | \(-0.344857\pi\) |
−0.985032 | + | 0.172372i | \(0.944857\pi\) | |||||||
\(812\) | −31.8660 | − | 62.5405i | −1.11828 | − | 2.19474i | ||||
\(813\) | −12.5516 | + | 12.5516i | −0.440202 | + | 0.440202i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 46.4383 | − | 21.8056i | 1.62666 | − | 0.763816i | ||||
\(816\) | −1.88611 | − | 0.612835i | −0.0660271 | − | 0.0214535i | ||||
\(817\) | −3.59729 | + | 22.7124i | −0.125853 | + | 0.794606i | ||||
\(818\) | −10.1829 | − | 64.2923i | −0.356037 | − | 2.24793i | ||||
\(819\) | 18.2234 | − | 5.92115i | 0.636778 | − | 0.206902i | ||||
\(820\) | 30.1840 | + | 0.973431i | 1.05407 | + | 0.0339937i | ||||
\(821\) | 13.3959 | − | 18.4379i | 0.467520 | − | 0.643486i | −0.508527 | − | 0.861046i | \(-0.669810\pi\) |
0.976047 | + | 0.217560i | \(0.0698098\pi\) | |||||||
\(822\) | −23.7593 | − | 3.76310i | −0.828699 | − | 0.131253i | ||||
\(823\) | −15.7218 | + | 8.01068i | −0.548029 | + | 0.279235i | −0.706003 | − | 0.708209i | \(-0.749504\pi\) |
0.157974 | + | 0.987443i | \(0.449504\pi\) | |||||||
\(824\) | 8.01946 | 0.279371 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −40.7077 | −1.41640 | ||||||||
\(827\) | 14.8438 | − | 7.56328i | 0.516168 | − | 0.263001i | −0.176444 | − | 0.984311i | \(-0.556460\pi\) |
0.692613 | + | 0.721310i | \(0.256460\pi\) | |||||||
\(828\) | −1.51399 | − | 0.239793i | −0.0526149 | − | 0.00833339i | ||||
\(829\) | 24.5888 | − | 33.8436i | 0.854004 | − | 1.17544i | −0.128963 | − | 0.991649i | \(-0.541165\pi\) |
0.982966 | − | 0.183786i | \(-0.0588353\pi\) | |||||||
\(830\) | −45.0775 | − | 1.45374i | −1.56466 | − | 0.0504601i | ||||
\(831\) | −7.06372 | + | 2.29514i | −0.245038 | + | 0.0796175i | ||||
\(832\) | 3.92646 | + | 24.7907i | 0.136125 | + | 0.859462i | ||||
\(833\) | −0.0494459 | + | 0.312189i | −0.00171320 | + | 0.0108167i | ||||
\(834\) | −5.97754 | − | 1.94222i | −0.206985 | − | 0.0672536i | ||||
\(835\) | −29.0660 | + | 13.6482i | −1.00587 | + | 0.472316i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 21.6227 | − | 21.6227i | 0.747390 | − | 0.747390i | ||||
\(838\) | −15.7264 | − | 30.8648i | −0.543260 | − | 1.06621i | ||||
\(839\) | −30.5197 | − | 42.0067i | −1.05366 | − | 1.45023i | −0.885597 | − | 0.464455i | \(-0.846250\pi\) |
−0.168059 | − | 0.985777i | \(-0.553750\pi\) | |||||||
\(840\) | −15.8156 | − | 3.03047i | −0.545689 | − | 0.104561i | ||||
\(841\) | 5.92209 | + | 18.2263i | 0.204210 | + | 0.628494i | ||||
\(842\) | −7.62701 | + | 14.9689i | −0.262844 | + | 0.515861i | ||||
\(843\) | −12.9206 | + | 2.04643i | −0.445010 | + | 0.0704827i | ||||
\(844\) | −78.7303 | + | 57.2009i | −2.71001 | + | 1.96894i | ||||
\(845\) | −7.01160 | + | 9.02396i | −0.241206 | + | 0.310434i | ||||
\(846\) | − | 6.79605i | − | 0.233653i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −10.2374 | − | 10.2374i | −0.351554 | − | 0.351554i | ||||
\(849\) | −5.02606 | + | 15.4686i | −0.172494 | + | 0.530882i | ||||
\(850\) | 0.740048 | − | 11.4617i | 0.0253834 | − | 0.393134i | ||||
\(851\) | −0.910264 | − | 0.661346i | −0.0312035 | − | 0.0226706i | ||||
\(852\) | −2.64277 | − | 1.34656i | −0.0905398 | − | 0.0461323i | ||||
\(853\) | 12.4787 | + | 6.35820i | 0.427262 | + | 0.217701i | 0.654379 | − | 0.756167i | \(-0.272930\pi\) |
−0.227117 | + | 0.973867i | \(0.572930\pi\) | |||||||
\(854\) | −48.3963 | − | 35.1620i | −1.65609 | − | 1.20322i | ||||
\(855\) | −23.5512 | + | 6.82126i | −0.805435 | + | 0.233282i | ||||
\(856\) | 5.99485 | − | 18.4502i | 0.204900 | − | 0.630616i | ||||
\(857\) | −10.2364 | − | 10.2364i | −0.349669 | − | 0.349669i | 0.510317 | − | 0.859986i | \(-0.329528\pi\) |
−0.859986 | + | 0.510317i | \(0.829528\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 56.0426i | 1.91215i | 0.293125 | + | 0.956074i | \(0.405305\pi\) | ||||
−0.293125 | + | 0.956074i | \(0.594695\pi\) | |||||||
\(860\) | 6.04420 | + | 48.1634i | 0.206105 | + | 1.64236i | ||||
\(861\) | −4.30617 | + | 3.12862i | −0.146754 | + | 0.106623i | ||||
\(862\) | 17.1532 | − | 2.71680i | 0.584240 | − | 0.0925345i | ||||
\(863\) | −7.82527 | + | 15.3580i | −0.266375 | + | 0.522791i | −0.984989 | − | 0.172619i | \(-0.944777\pi\) |
0.718613 | + | 0.695410i | \(0.244777\pi\) | |||||||
\(864\) | −0.819762 | − | 2.52297i | −0.0278889 | − | 0.0858331i | ||||
\(865\) | 9.38459 | − | 48.9768i | 0.319086 | − | 1.66526i | ||||
\(866\) | 24.0250 | + | 33.0676i | 0.816404 | + | 1.12368i | ||||
\(867\) | −4.37332 | − | 8.58313i | −0.148526 | − | 0.291498i | ||||
\(868\) | 64.8114 | − | 64.8114i | 2.19984 | − | 2.19984i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 21.2343 | + | 7.66456i | 0.719910 | + | 0.259853i | ||||
\(871\) | 11.1260 | + | 3.61507i | 0.376992 | + | 0.122492i | ||||
\(872\) | 2.35194 | − | 14.8496i | 0.0796467 | − | 0.502870i | ||||
\(873\) | 5.96209 | + | 37.6431i | 0.201786 | + | 1.27403i | ||||
\(874\) | 1.42168 | − | 0.461933i | 0.0480892 | − | 0.0156251i | ||||
\(875\) | −1.74131 | − | 28.8119i | −0.0588670 | − | 0.974021i | ||||
\(876\) | 2.43924 | − | 3.35733i | 0.0824143 | − | 0.113434i | ||||
\(877\) | −6.96326 | − | 1.10287i | −0.235133 | − | 0.0372413i | 0.0377560 | − | 0.999287i | \(-0.487979\pi\) |
−0.272889 | + | 0.962046i | \(0.587979\pi\) | |||||||
\(878\) | −1.67530 | + | 0.853608i | −0.0565386 | + | 0.0288079i | ||||
\(879\) | 12.0275 | 0.405678 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −46.6330 | −1.57111 | −0.785553 | − | 0.618794i | \(-0.787622\pi\) | ||||
−0.785553 | + | 0.618794i | \(0.787622\pi\) | |||||||
\(882\) | 1.91702 | − | 0.976773i | 0.0645496 | − | 0.0328896i | ||||
\(883\) | −10.8716 | − | 1.72190i | −0.365859 | − | 0.0579464i | −0.0292016 | − | 0.999574i | \(-0.509296\pi\) |
−0.336658 | + | 0.941627i | \(0.609296\pi\) | |||||||
\(884\) | −6.10749 | + | 8.40623i | −0.205417 | + | 0.282732i | ||||
\(885\) | 6.32329 | − | 5.92819i | 0.212555 | − | 0.199274i | ||||
\(886\) | 43.4709 | − | 14.1245i | 1.46043 | − | 0.474523i | ||||
\(887\) | −6.09743 | − | 38.4977i | −0.204732 | − | 1.29262i | −0.849232 | − | 0.528020i | \(-0.822934\pi\) |
0.644500 | − | 0.764604i | \(-0.277066\pi\) | |||||||
\(888\) | −3.31560 | + | 20.9338i | −0.111264 | + | 0.702494i | ||||
\(889\) | −5.83158 | − | 1.89480i | −0.195585 | − | 0.0635494i | ||||
\(890\) | −9.78168 | − | 20.8316i | −0.327883 | − | 0.698277i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −54.2662 | + | 54.2662i | −1.81697 | + | 1.81697i | ||||
\(893\) | 1.99190 | + | 3.90932i | 0.0666563 | + | 0.130820i | ||||
\(894\) | −7.22081 | − | 9.93859i | −0.241500 | − | 0.332396i | ||||
\(895\) | −5.48357 | − | 8.08312i | −0.183295 | − | 0.270189i | ||||
\(896\) | −16.0879 | − | 49.5136i | −0.537461 | − | 1.65413i | ||||
\(897\) | 0.112923 | − | 0.221625i | 0.00377040 | − | 0.00739983i | ||||
\(898\) | 1.71401 | − | 0.271472i | 0.0571972 | − | 0.00905914i | ||||
\(899\) | −50.8825 | + | 36.9683i | −1.69703 | + | 1.23296i | ||||
\(900\) | −43.7459 | + | 27.6611i | −1.45820 | + | 0.922037i | ||||
\(901\) | 3.89303i | 0.129696i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −6.04959 | − | 6.04959i | −0.201318 | − | 0.201318i | ||||
\(904\) | −16.0763 | + | 49.4779i | −0.534691 | + | 1.64561i | ||||
\(905\) | −5.87226 | − | 20.2747i | −0.195201 | − | 0.673954i | ||||
\(906\) | −14.0433 | − | 10.2030i | −0.466556 | − | 0.338973i | ||||
\(907\) | 25.0506 | + | 12.7639i | 0.831793 | + | 0.423820i | 0.817396 | − | 0.576077i | \(-0.195417\pi\) |
0.0143971 | + | 0.999896i | \(0.495417\pi\) | |||||||
\(908\) | 3.57052 | + | 1.81927i | 0.118492 | + | 0.0603746i | ||||
\(909\) | −4.13687 | − | 3.00561i | −0.137211 | − | 0.0996898i | ||||
\(910\) | −19.0308 | + | 34.5496i | −0.630866 | + | 1.14531i | ||||
\(911\) | −9.11103 | + | 28.0409i | −0.301862 | + | 0.929035i | 0.678968 | + | 0.734168i | \(0.262428\pi\) |
−0.980830 | + | 0.194867i | \(0.937572\pi\) | |||||||
\(912\) | −6.16252 | − | 6.16252i | −0.204061 | − | 0.204061i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 47.0585i | − | 1.55656i | ||||||
\(915\) | 12.6382 | − | 1.58601i | 0.417805 | − | 0.0524318i | ||||
\(916\) | 0.322792 | − | 0.234522i | 0.0106654 | − | 0.00774883i | ||||
\(917\) | 7.96768 | − | 1.26196i | 0.263116 | − | 0.0416735i | ||||
\(918\) | 3.51891 | − | 6.90624i | 0.116141 | − | 0.227940i | ||||
\(919\) | 12.6027 | + | 38.7871i | 0.415725 | + | 1.27947i | 0.911601 | + | 0.411076i | \(0.134847\pi\) |
−0.495877 | + | 0.868393i | \(0.665153\pi\) | |||||||
\(920\) | 1.27815 | − | 0.867092i | 0.0421393 | − | 0.0285872i | ||||
\(921\) | 7.30351 | + | 10.0524i | 0.240659 | + | 0.331239i | ||||
\(922\) | 40.3402 | + | 79.1721i | 1.32853 | + | 2.60740i | ||||
\(923\) | −2.51454 | + | 2.51454i | −0.0827672 | + | 0.0827672i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −37.8281 | + | 3.51301i | −1.24378 | + | 0.115507i | ||||
\(926\) | 56.0862 | + | 18.2235i | 1.84311 | + | 0.598862i | ||||
\(927\) | −0.710668 | + | 4.48698i | −0.0233414 | + | 0.147372i | ||||
\(928\) | 0.853538 | + | 5.38903i | 0.0280188 | + | 0.176904i | ||||
\(929\) | −48.7643 | + | 15.8445i | −1.59990 | + | 0.519840i | −0.967084 | − | 0.254458i | \(-0.918103\pi\) |
−0.632820 | + | 0.774299i | \(0.718103\pi\) | |||||||
\(930\) | −0.950210 | + | 29.4640i | −0.0311586 | + | 0.966163i | ||||
\(931\) | −0.816449 | + | 1.12375i | −0.0267580 | + | 0.0368293i | ||||
\(932\) | −82.8026 | − | 13.1146i | −2.71229 | − | 0.429585i | ||||
\(933\) | 12.4039 | − | 6.32012i | 0.406086 | − | 0.206911i | ||||
\(934\) | −36.0504 | −1.17960 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 34.6194 | 1.13157 | ||||||||
\(937\) | −2.74472 | + | 1.39850i | −0.0896660 | + | 0.0456871i | −0.498248 | − | 0.867034i | \(-0.666023\pi\) |
0.408582 | + | 0.912721i | \(0.366023\pi\) | |||||||
\(938\) | −25.8352 | − | 4.09190i | −0.843551 | − | 0.133605i | ||||
\(939\) | −4.92741 | + | 6.78200i | −0.160800 | + | 0.221322i | ||||
\(940\) | 6.33447 | + | 6.75665i | 0.206608 | + | 0.220378i | ||||
\(941\) | −27.0435 | + | 8.78695i | −0.881592 | + | 0.286447i | −0.714618 | − | 0.699515i | \(-0.753399\pi\) |
−0.166974 | + | 0.985961i | \(0.553399\pi\) | |||||||
\(942\) | −0.309842 | − | 1.95627i | −0.0100952 | − | 0.0637387i | ||||
\(943\) | 0.0798625 | − | 0.504232i | 0.00260068 | − | 0.0164200i | ||||
\(944\) | −21.6489 | − | 7.03416i | −0.704612 | − | 0.228942i | ||||
\(945\) | 6.61343 | − | 18.3222i | 0.215135 | − | 0.596021i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −40.6526 | + | 40.6526i | −1.32103 | + | 1.32103i | −0.408091 | + | 0.912941i | \(0.633805\pi\) |
−0.912941 | + | 0.408091i | \(0.866195\pi\) | |||||||
\(948\) | 4.61803 | + | 9.06339i | 0.149987 | + | 0.294365i | ||||
\(949\) | −2.92449 | − | 4.02522i | −0.0949330 | − | 0.130664i | ||||
\(950\) | 25.7647 | − | 43.4026i | 0.835917 | − | 1.40817i | ||||
\(951\) | −5.45156 | − | 16.7782i | −0.176779 | − | 0.544069i | ||||
\(952\) | 5.16268 | − | 10.1323i | 0.167323 | − | 0.328391i | ||||
\(953\) | 18.9002 | − | 2.99349i | 0.612237 | − | 0.0969688i | 0.157387 | − | 0.987537i | \(-0.449693\pi\) |
0.454850 | + | 0.890568i | \(0.349693\pi\) | |||||||
\(954\) | 21.4385 | − | 15.5760i | 0.694097 | − | 0.504291i | ||||
\(955\) | −11.4291 | − | 8.88035i | −0.369835 | − | 0.287361i | ||||
\(956\) | − | 33.9400i | − | 1.09770i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 47.4507 | + | 47.4507i | 1.53306 | + | 1.53306i | ||||
\(959\) | 13.1923 | − | 40.6017i | 0.426001 | − | 1.31110i | ||||
\(960\) | 10.4667 | + | 5.76532i | 0.337810 | + | 0.186075i | ||||
\(961\) | −41.3641 | − | 30.0528i | −1.33433 | − | 0.969445i | ||||
\(962\) | 46.2572 | + | 23.5692i | 1.49139 | + | 0.759902i | ||||
\(963\) | 9.79187 | + | 4.98921i | 0.315539 | + | 0.160775i | ||||
\(964\) | 33.7508 | + | 24.5214i | 1.08704 | + | 0.789781i | ||||
\(965\) | 1.97160 | + | 1.08601i | 0.0634680 | + | 0.0349598i | ||||
\(966\) | −0.171861 | + | 0.528934i | −0.00552954 | + | 0.0170182i | ||||
\(967\) | 12.6930 | + | 12.6930i | 0.408178 | + | 0.408178i | 0.881103 | − | 0.472925i | \(-0.156802\pi\) |
−0.472925 | + | 0.881103i | \(0.656802\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.34346i | 0.0752826i | ||||||||
\(970\) | −61.9528 | − | 48.1372i | −1.98919 | − | 1.54559i | ||||
\(971\) | 2.82019 | − | 2.04898i | 0.0905040 | − | 0.0657550i | −0.541613 | − | 0.840628i | \(-0.682186\pi\) |
0.632117 | + | 0.774873i | \(0.282186\pi\) | |||||||
\(972\) | −52.8411 | + | 8.36920i | −1.69488 | + | 0.268442i | ||||
\(973\) | 5.06392 | − | 9.93851i | 0.162342 | − | 0.318614i | ||||
\(974\) | 29.2384 | + | 89.9865i | 0.936858 | + | 2.88335i | ||||
\(975\) | −2.07525 | − | 8.13815i | −0.0664613 | − | 0.260629i | ||||
\(976\) | −19.6619 | − | 27.0623i | −0.629363 | − | 0.866244i | ||||
\(977\) | 11.7295 | + | 23.0204i | 0.375259 | + | 0.736487i | 0.998980 | − | 0.0451603i | \(-0.0143799\pi\) |
−0.623721 | + | 0.781647i | \(0.714380\pi\) | |||||||
\(978\) | −23.6009 | + | 23.6009i | −0.754672 | + | 0.754672i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −0.995480 | + | 2.75793i | −0.0317994 | + | 0.0880989i | ||||
\(981\) | 8.10008 | + | 2.63188i | 0.258616 | + | 0.0840293i | ||||
\(982\) | 7.15466 | − | 45.1728i | 0.228315 | − | 1.44152i | ||||
\(983\) | −4.88486 | − | 30.8418i | −0.155803 | − | 0.983701i | −0.934413 | − | 0.356192i | \(-0.884075\pi\) |
0.778610 | − | 0.627508i | \(-0.215925\pi\) | |||||||
\(984\) | −9.14609 | + | 2.97175i | −0.291567 | + | 0.0947358i | ||||
\(985\) | −37.5089 | − | 40.0088i | −1.19513 | − | 1.27479i | ||||
\(986\) | −9.37055 | + | 12.8974i | −0.298419 | + | 0.410738i | ||||
\(987\) | −1.61227 | − | 0.255359i | −0.0513192 | − | 0.00812816i | ||||
\(988\) | −40.6853 | + | 20.7302i | −1.29437 | + | 0.659515i | ||||
\(989\) | 0.820573 | 0.0260927 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.5868 | −0.622196 | −0.311098 | − | 0.950378i | \(-0.600697\pi\) | ||||
−0.311098 | + | 0.950378i | \(0.600697\pi\) | |||||||
\(992\) | −6.34829 | + | 3.23462i | −0.201558 | + | 0.102699i | ||||
\(993\) | −1.29094 | − | 0.204465i | −0.0409667 | − | 0.00648850i | ||||
\(994\) | 4.67359 | − | 6.43265i | 0.148237 | − | 0.204031i | ||||
\(995\) | 0.234663 | − | 7.27640i | 0.00743931 | − | 0.230677i | ||||
\(996\) | 18.4741 | − | 6.00259i | 0.585373 | − | 0.190199i | ||||
\(997\) | 4.42928 | + | 27.9653i | 0.140277 | + | 0.885671i | 0.952989 | + | 0.303006i | \(0.0979902\pi\) |
−0.812712 | + | 0.582665i | \(0.802010\pi\) | |||||||
\(998\) | −1.99393 | + | 12.5892i | −0.0631167 | + | 0.398503i | ||||
\(999\) | −24.3833 | − | 7.92261i | −0.771453 | − | 0.250660i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))