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 | 578.4 | ||
Character | \(\chi\) | \(=\) | 605.578 |
Dual form | 605.2.m.d.112.4 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.10437 | − | 2.16745i | 0.780910 | − | 1.53262i | −0.0641439 | − | 0.997941i | \(-0.520432\pi\) |
0.845054 | − | 0.534681i | \(-0.179568\pi\) | |||||||
\(3\) | −0.0935509 | − | 0.590657i | −0.0540116 | − | 0.341016i | −0.999865 | − | 0.0164223i | \(-0.994772\pi\) |
0.945854 | − | 0.324594i | \(-0.105228\pi\) | |||||||
\(4\) | −2.30265 | − | 3.16932i | −1.15132 | − | 1.58466i | ||||
\(5\) | 1.76571 | + | 1.37196i | 0.789650 | + | 0.613557i | ||||
\(6\) | −1.38354 | − | 0.449539i | −0.564827 | − | 0.183523i | ||||
\(7\) | 2.54993 | + | 0.403870i | 0.963785 | + | 0.152649i | 0.618444 | − | 0.785829i | \(-0.287763\pi\) |
0.345341 | + | 0.938477i | \(0.387763\pi\) | |||||||
\(8\) | −4.60707 | + | 0.729688i | −1.62884 | + | 0.257984i | ||||
\(9\) | 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 | ||||
\(13\) | −2.50266 | − | 1.27517i | −0.694112 | − | 0.353668i | 0.0710794 | − | 0.997471i | \(-0.477356\pi\) |
−0.765191 | + | 0.643803i | \(0.777356\pi\) | |||||||
\(14\) | 3.69145 | − | 5.08085i | 0.986582 | − | 1.35791i | ||||
\(15\) | 0.645171 | − | 1.17128i | 0.166582 | − | 0.302423i | ||||
\(16\) | −1.08521 | + | 3.33993i | −0.271302 | + | 0.834983i | ||||
\(17\) | 0.841386 | − | 0.428708i | 0.204066 | − | 0.103977i | −0.348971 | − | 0.937134i | \(-0.613469\pi\) |
0.553037 | + | 0.833157i | \(0.313469\pi\) | |||||||
\(18\) | 1.00553 | − | 6.34868i | 0.237006 | − | 1.49640i | ||||
\(19\) | −3.35726 | − | 2.43919i | −0.770207 | − | 0.559588i | 0.131817 | − | 0.991274i | \(-0.457919\pi\) |
−0.902024 | + | 0.431686i | \(0.857919\pi\) | |||||||
\(20\) | 0.282355 | − | 8.75525i | 0.0631366 | − | 1.95773i | ||||
\(21\) | − | 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 | ||||
\(25\) | 1.23548 | + | 4.84496i | 0.247096 | + | 0.968991i | ||||
\(26\) | −5.52773 | + | 4.01613i | −1.08408 | + | 0.787629i | ||||
\(27\) | −1.53188 | − | 3.00648i | −0.294810 | − | 0.578597i | ||||
\(28\) | −4.59161 | − | 9.01154i | −0.867733 | − | 1.70302i | ||||
\(29\) | −5.61462 | + | 4.07926i | −1.04261 | + | 0.757499i | −0.970793 | − | 0.239919i | \(-0.922879\pi\) |
−0.0718154 | + | 0.997418i | \(0.522879\pi\) | |||||||
\(30\) | −1.82618 | − | 2.69191i | −0.333414 | − | 0.491473i | ||||
\(31\) | 2.80047 | + | 8.61895i | 0.502979 | + | 1.54801i | 0.804143 | + | 0.594436i | \(0.202625\pi\) |
−0.301164 | + | 0.953572i | \(0.597375\pi\) | |||||||
\(32\) | −0.555921 | − | 0.555921i | −0.0982739 | − | 0.0982739i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.29712i | − | 0.393953i | ||||||
\(35\) | 3.94836 | + | 4.21151i | 0.667395 | + | 0.711876i | ||||
\(36\) | −8.37454 | − | 6.08446i | −1.39576 | − | 1.01408i | ||||
\(37\) | −1.18862 | + | 7.50462i | −0.195407 | + | 1.23375i | 0.673654 | + | 0.739047i | \(0.264724\pi\) |
−0.869061 | + | 0.494705i | \(0.835276\pi\) | |||||||
\(38\) | −8.99450 | + | 4.58292i | −1.45910 | + | 0.743448i | ||||
\(39\) | −0.519061 | + | 1.59750i | −0.0831162 | + | 0.255805i | ||||
\(40\) | −9.13586 | − | 5.03227i | −1.44451 | − | 0.795672i | ||||
\(41\) | 2.02641 | − | 2.78912i | 0.316472 | − | 0.435587i | −0.620914 | − | 0.783879i | \(-0.713238\pi\) |
0.937386 | + | 0.348292i | \(0.113238\pi\) | |||||||
\(42\) | −3.34638 | − | 1.70506i | −0.516357 | − | 0.263097i | ||||
\(43\) | 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 | ||||
\(47\) | 1.04427 | − | 0.165396i | 0.152323 | − | 0.0241255i | −0.0798074 | − | 0.996810i | \(-0.525431\pi\) |
0.232130 | + | 0.972685i | \(0.425431\pi\) | |||||||
\(48\) | 2.07428 | + | 0.328533i | 0.299396 | + | 0.0474197i | ||||
\(49\) | −0.318339 | − | 0.103435i | −0.0454770 | − | 0.0147764i | ||||
\(50\) | 11.8657 | + | 2.67280i | 1.67806 | + | 0.377990i | ||||
\(51\) | −0.331932 | − | 0.456865i | −0.0464797 | − | 0.0639739i | ||||
\(52\) | 1.72132 | + | 10.8680i | 0.238704 | + | 1.50712i | ||||
\(53\) | −1.87163 | + | 3.67328i | −0.257088 | + | 0.504564i | −0.983089 | − | 0.183130i | \(-0.941377\pi\) |
0.726000 | + | 0.687694i | \(0.241377\pi\) | |||||||
\(54\) | −8.20817 | −1.11699 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −12.0424 | −1.60924 | ||||||||
\(57\) | −1.12665 | + | 2.21118i | −0.149228 | + | 0.292877i | ||||
\(58\) | 2.64097 | + | 16.6745i | 0.346777 | + | 2.18946i | ||||
\(59\) | −3.80993 | − | 5.24392i | −0.496011 | − | 0.682701i | 0.485471 | − | 0.874253i | \(-0.338648\pi\) |
−0.981483 | + | 0.191552i | \(0.938648\pi\) | |||||||
\(60\) | −5.19776 | + | 0.652286i | −0.671028 | + | 0.0842098i | ||||
\(61\) | −9.05905 | − | 2.94346i | −1.15989 | − | 0.376872i | −0.335031 | − | 0.942207i | \(-0.608747\pi\) |
−0.824861 | + | 0.565335i | \(0.808747\pi\) | |||||||
\(62\) | 21.7739 | + | 3.44865i | 2.76529 | + | 0.437979i | ||||
\(63\) | 6.73788 | − | 1.06717i | 0.848893 | − | 0.134451i | ||||
\(64\) | −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 | \(0.168116\pi\) | |||||||
\(68\) | −3.29613 | − | 1.67946i | −0.399715 | − | 0.203665i | ||||
\(69\) | 0.0520518 | − | 0.0716431i | 0.00626629 | − | 0.00862481i | ||||
\(70\) | 13.4887 | − | 3.90681i | 1.61221 | − | 0.466953i | ||||
\(71\) | 0.391234 | − | 1.20409i | 0.0464309 | − | 0.142900i | −0.925153 | − | 0.379594i | \(-0.876064\pi\) |
0.971584 | + | 0.236694i | \(0.0760639\pi\) | |||||||
\(72\) | −10.9820 | + | 5.59558i | −1.29424 | + | 0.659446i | ||||
\(73\) | −0.277105 | + | 1.74957i | −0.0324326 | + | 0.204772i | −0.998584 | − | 0.0532059i | \(-0.983056\pi\) |
0.966151 | + | 0.257977i | \(0.0830560\pi\) | |||||||
\(74\) | 14.9533 | + | 10.8642i | 1.73828 | + | 1.26293i | ||||
\(75\) | 2.74613 | − | 1.18299i | 0.317095 | − | 0.136600i | ||||
\(76\) | 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 | 0.997729 | − | 0.0673580i | \(-0.0214570\pi\) |
−0.846772 | + | 0.531957i | \(0.821457\pi\) | |||||||
\(80\) | −6.49840 | + | 4.40850i | −0.726543 | + | 0.492885i | ||||
\(81\) | 4.78068 | − | 3.47337i | 0.531187 | − | 0.385930i | ||||
\(82\) | −3.80737 | − | 7.47238i | −0.420454 | − | 0.825187i | ||||
\(83\) | 3.76425 | + | 7.38775i | 0.413180 | + | 0.810911i | 0.999999 | + | 0.00119325i | \(0.000379823\pi\) |
−0.586819 | + | 0.809718i | \(0.699620\pi\) | |||||||
\(84\) | −4.89318 | + | 3.55511i | −0.533890 | + | 0.387894i | ||||
\(85\) | 2.07381 | + | 0.397370i | 0.224937 | + | 0.0431008i | ||||
\(86\) | −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 | \(-0.0719894\pi\) | |||||||
\(90\) | 10.4856 | − | 9.83039i | 1.10528 | − | 1.03621i | ||||
\(91\) | −5.86661 | − | 4.26234i | −0.614988 | − | 0.446815i | ||||
\(92\) | 0.0907492 | − | 0.572968i | 0.00946125 | − | 0.0597360i | ||||
\(93\) | 4.82886 | − | 2.46043i | 0.500729 | − | 0.255134i | ||||
\(94\) | 0.794777 | − | 2.44607i | 0.0819749 | − | 0.252293i | ||||
\(95\) | −2.58149 | − | 8.91291i | −0.264855 | − | 0.914445i | ||||
\(96\) | −0.276352 | + | 0.380366i | −0.0282050 | + | 0.0388209i | ||||
\(97\) | 12.8515 | + | 6.54815i | 1.30487 | + | 0.664864i | 0.961621 | − | 0.274381i | \(-0.0884728\pi\) |
0.343248 | + | 0.939245i | \(0.388473\pi\) | |||||||
\(98\) | −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 | \(-0.630694\pi\) |
0.216015 | + | 0.976390i | \(0.430694\pi\) | |||||||
\(102\) | −1.35681 | + | 0.214898i | −0.134344 | + | 0.0212780i | ||||
\(103\) | −1.69809 | − | 0.268951i | −0.167318 | − | 0.0265005i | 0.0722135 | − | 0.997389i | \(-0.476994\pi\) |
−0.239531 | + | 0.970889i | \(0.576994\pi\) | |||||||
\(104\) | 12.4604 | + | 4.04862i | 1.22184 | + | 0.397000i | ||||
\(105\) | 2.11819 | − | 2.72612i | 0.206714 | − | 0.266042i | ||||
\(106\) | 5.89470 | + | 8.11335i | 0.572544 | + | 0.788039i | ||||
\(107\) | −0.650614 | − | 4.10781i | −0.0628972 | − | 0.397117i | −0.998973 | − | 0.0453180i | \(-0.985570\pi\) |
0.936075 | − | 0.351799i | \(-0.114430\pi\) | |||||||
\(108\) | −6.00113 | + | 11.7779i | −0.577459 | + | 1.13333i | ||||
\(109\) | −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 | ||||||||
\(112\) | −4.11611 | + | 8.07832i | −0.388936 | + | 0.763330i | ||||
\(113\) | 1.74475 | + | 11.0159i | 0.164132 | + | 1.03629i | 0.922932 | + | 0.384964i | \(0.125786\pi\) |
−0.758800 | + | 0.651324i | \(0.774214\pi\) | |||||||
\(114\) | 3.54838 | + | 4.88393i | 0.332336 | + | 0.457422i | ||||
\(115\) | 0.0412301 | + | 0.328544i | 0.00384473 | + | 0.0306368i | ||||
\(116\) | 25.8570 | + | 8.40145i | 2.40076 | + | 0.780055i | ||||
\(117\) | −7.33051 | − | 1.16104i | −0.677706 | − | 0.107338i | ||||
\(118\) | −15.5736 | + | 2.46661i | −1.43366 | + | 0.227070i | ||||
\(119\) | 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 | ||||
\(123\) | −1.83698 | − | 0.935990i | −0.165635 | − | 0.0843954i | ||||
\(124\) | 20.8678 | − | 28.7220i | 1.87398 | − | 2.57931i | ||||
\(125\) | −4.46556 | + | 10.2498i | −0.399412 | + | 0.916772i | ||||
\(126\) | 5.12808 | − | 15.7826i | 0.456846 | − | 1.40603i | ||||
\(127\) | 2.11618 | − | 1.07825i | 0.187780 | − | 0.0956788i | −0.357573 | − | 0.933885i | \(-0.616396\pi\) |
0.545353 | + | 0.838206i | \(0.316396\pi\) | |||||||
\(128\) | −3.15458 | + | 19.9172i | −0.278828 | + | 1.76045i | ||||
\(129\) | −2.68095 | − | 1.94783i | −0.236045 | − | 0.171497i | ||||
\(130\) | −15.2703 | − | 0.492466i | −1.33930 | − | 0.0431921i | ||||
\(131\) | − | 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 | ||||
\(135\) | 1.41990 | − | 7.41024i | 0.122205 | − | 0.637772i | ||||
\(136\) | −3.56350 | + | 2.58903i | −0.305568 | + | 0.222008i | ||||
\(137\) | 7.50715 | + | 14.7336i | 0.641379 | + | 1.25878i | 0.951374 | + | 0.308039i | \(0.0996727\pi\) |
−0.309995 | + | 0.950738i | \(0.600327\pi\) | |||||||
\(138\) | −0.0977986 | − | 0.191941i | −0.00832517 | − | 0.0163391i | ||||
\(139\) | −3.49534 | + | 2.53951i | −0.296470 | + | 0.215398i | −0.726069 | − | 0.687621i | \(-0.758655\pi\) |
0.429599 | + | 0.903020i | \(0.358655\pi\) | |||||||
\(140\) | 4.25597 | − | 22.2113i | 0.359695 | − | 1.87720i | ||||
\(141\) | −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 | ||||||||
\(145\) | −15.5104 | − | 0.500207i | −1.28807 | − | 0.0415399i | ||||
\(146\) | 3.48609 | + | 2.53279i | 0.288511 | + | 0.209615i | ||||
\(147\) | −0.0313135 | + | 0.197706i | −0.00258269 | + | 0.0163065i | ||||
\(148\) | 26.5215 | − | 13.5134i | 2.18006 | − | 1.11079i | ||||
\(149\) | −2.60955 | + | 8.03136i | −0.213782 | + | 0.657954i | 0.785455 | + | 0.618918i | \(0.212429\pi\) |
−0.999238 | + | 0.0390361i | \(0.987571\pi\) | |||||||
\(150\) | 0.468663 | − | 7.25857i | 0.0382662 | − | 0.592660i | ||||
\(151\) | 7.01365 | − | 9.65346i | 0.570763 | − | 0.785587i | −0.421882 | − | 0.906651i | \(-0.638630\pi\) |
0.992645 | + | 0.121063i | \(0.0386304\pi\) | |||||||
\(152\) | 17.2470 | + | 8.78776i | 1.39891 | + | 0.712782i | ||||
\(153\) | 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 | ||||
\(157\) | 1.34476 | − | 0.212989i | 0.107323 | − | 0.0169983i | −0.102542 | − | 0.994729i | \(-0.532698\pi\) |
0.209865 | + | 0.977730i | \(0.432698\pi\) | |||||||
\(158\) | 10.4322 | + | 1.65229i | 0.829938 | + | 0.131449i | ||||
\(159\) | 2.34474 | + | 0.761854i | 0.185950 | + | 0.0604189i | ||||
\(160\) | −0.218898 | − | 1.74429i | −0.0173054 | − | 0.137899i | ||||
\(161\) | 0.224713 | + | 0.309291i | 0.0177099 | + | 0.0243756i | ||||
\(162\) | −2.24871 | − | 14.1978i | −0.176676 | − | 1.11549i | ||||
\(163\) | 10.4161 | − | 20.4427i | 0.815852 | − | 1.60120i | 0.0168592 | − | 0.999858i | \(-0.494633\pi\) |
0.798992 | − | 0.601341i | \(-0.205367\pi\) | |||||||
\(164\) | −13.5057 | −1.05462 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 20.1698 | 1.56548 | ||||||||
\(167\) | −6.51948 | + | 12.7952i | −0.504493 | + | 0.990123i | 0.488569 | + | 0.872525i | \(0.337519\pi\) |
−0.993061 | + | 0.117597i | \(0.962481\pi\) | |||||||
\(168\) | 1.12658 | + | 7.11294i | 0.0869175 | + | 0.548775i | ||||
\(169\) | −3.00397 | − | 4.13461i | −0.231075 | − | 0.318047i | ||||
\(170\) | 3.15154 | − | 4.05605i | 0.241712 | − | 0.311085i | ||||
\(171\) | −10.4286 | − | 3.38847i | −0.797497 | − | 0.259122i | ||||
\(172\) | −21.4410 | − | 3.39592i | −1.63486 | − | 0.258937i | ||||
\(173\) | −22.0270 | + | 3.48873i | −1.67468 | + | 0.265243i | −0.920305 | − | 0.391201i | \(-0.872060\pi\) |
−0.754375 | + | 0.656444i | \(0.772060\pi\) | |||||||
\(174\) | 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 | ||||
\(178\) | −9.17033 | − | 4.67252i | −0.687345 | − | 0.350220i | ||||
\(179\) | −2.56757 | + | 3.53396i | −0.191909 | + | 0.264140i | −0.894119 | − | 0.447830i | \(-0.852197\pi\) |
0.702210 | + | 0.711970i | \(0.252197\pi\) | |||||||
\(180\) | −6.43942 | − | 22.2329i | −0.479966 | − | 1.65714i | ||||
\(181\) | 2.91705 | − | 8.97777i | 0.216823 | − | 0.667312i | −0.782196 | − | 0.623032i | \(-0.785901\pi\) |
0.999019 | − | 0.0442801i | \(-0.0140994\pi\) | |||||||
\(182\) | −15.7174 | + | 8.00839i | −1.16505 | + | 0.593622i | ||||
\(183\) | −0.891096 | + | 5.62616i | −0.0658717 | + | 0.415897i | ||||
\(184\) | −0.558809 | − | 0.405999i | −0.0411960 | − | 0.0299306i | ||||
\(185\) | −12.3948 | + | 11.6203i | −0.911280 | + | 0.854339i | ||||
\(186\) | − | 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 | ||||
\(190\) | −22.1693 | − | 4.24792i | −1.60833 | − | 0.308176i | ||||
\(191\) | 5.23658 | − | 3.80460i | 0.378906 | − | 0.275291i | −0.381988 | − | 0.924167i | \(-0.624761\pi\) |
0.760894 | + | 0.648876i | \(0.224761\pi\) | |||||||
\(192\) | 2.42611 | + | 4.76151i | 0.175089 | + | 0.343632i | ||||
\(193\) | 0.457004 | + | 0.896922i | 0.0328959 | + | 0.0645618i | 0.906870 | − | 0.421412i | \(-0.138465\pi\) |
−0.873974 | + | 0.485973i | \(0.838465\pi\) | |||||||
\(194\) | 28.3856 | − | 20.6234i | 2.03797 | − | 1.48067i | ||||
\(195\) | −3.10822 | + | 2.10861i | −0.222584 | + | 0.151000i | ||||
\(196\) | 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 | \(0.963185\pi\) | |||||||
\(200\) | −9.22724 | − | 21.4195i | −0.652464 | − | 1.51459i | ||||
\(201\) | −2.01506 | − | 1.46403i | −0.142131 | − | 0.103264i | ||||
\(202\) | −0.736413 | + | 4.64953i | −0.0518138 | + | 0.327140i | ||||
\(203\) | −15.9644 | + | 8.13427i | −1.12048 | + | 0.570914i | ||||
\(204\) | −0.683631 | + | 2.10400i | −0.0478637 | + | 0.147309i | ||||
\(205\) | 7.40460 | − | 2.14463i | 0.517160 | − | 0.149788i | ||||
\(206\) | −2.45826 | + | 3.38351i | −0.171275 | + | 0.235740i | ||||
\(207\) | 0.348639 | + | 0.177640i | 0.0242321 | + | 0.0123469i | ||||
\(208\) | 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 | \(-0.273511\pi\) |
0.973451 | + | 0.228895i | \(0.0735113\pi\) | |||||||
\(212\) | 15.9515 | − | 2.52648i | 1.09556 | − | 0.173519i | ||||
\(213\) | −0.747807 | − | 0.118441i | −0.0512389 | − | 0.00811544i | ||||
\(214\) | −9.62202 | − | 3.12638i | −0.657748 | − | 0.213715i | ||||
\(215\) | 12.2944 | − | 1.54287i | 0.838473 | − | 0.105223i | ||||
\(216\) | 9.25126 | + | 12.7333i | 0.629468 | + | 0.866389i | ||||
\(217\) | 3.66007 | + | 23.1088i | 0.248462 | + | 1.56873i | ||||
\(218\) | −3.55963 | + | 6.98617i | −0.241089 | + | 0.473163i | ||||
\(219\) | 1.05932 | 0.0715822 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.65237 | −0.178418 | ||||||||
\(222\) | 5.01811 | − | 9.84860i | 0.336794 | − | 0.660995i | ||||
\(223\) | −3.06455 | − | 19.3488i | −0.205218 | − | 1.29569i | −0.848144 | − | 0.529766i | \(-0.822280\pi\) |
0.642926 | − | 0.765928i | \(-0.277720\pi\) | |||||||
\(224\) | −1.19304 | − | 1.64208i | −0.0797135 | − | 0.109716i | ||||
\(225\) | 7.06090 | + | 11.1668i | 0.470727 | + | 0.744452i | ||||
\(226\) | 25.8033 | + | 8.38400i | 1.71641 | + | 0.557695i | ||||
\(227\) | 1.01032 | + | 0.160020i | 0.0670576 | + | 0.0106209i | 0.189873 | − | 0.981809i | \(-0.439192\pi\) |
−0.122815 | + | 0.992430i | \(0.539192\pi\) | |||||||
\(228\) | 9.60221 | − | 1.52084i | 0.635922 | − | 0.100720i | ||||
\(229\) | −0.0968640 | + | 0.0314730i | −0.00640095 | + | 0.00207980i | −0.312216 | − | 0.950011i | \(-0.601071\pi\) |
0.305815 | + | 0.952091i | \(0.401071\pi\) | |||||||
\(230\) | 0.757637 | + | 0.273470i | 0.0499571 | + | 0.0180321i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 22.8903 | − | 22.8903i | 1.50282 | − | 1.50282i | ||||
\(233\) | 19.0676 | + | 9.71543i | 1.24916 | + | 0.636479i | 0.948356 | − | 0.317207i | \(-0.102745\pi\) |
0.300804 | + | 0.953686i | \(0.402745\pi\) | |||||||
\(234\) | −10.6121 | + | 14.6063i | −0.693736 | + | 0.954846i | ||||
\(235\) | 2.07080 | + | 1.14065i | 0.135084 | + | 0.0744079i | ||||
\(236\) | −7.84676 | + | 24.1498i | −0.510780 | + | 1.57202i | ||||
\(237\) | 2.31356 | − | 1.17882i | 0.150282 | − | 0.0765726i | ||||
\(238\) | 0.927738 | − | 5.85751i | 0.0601363 | − | 0.379686i | ||||
\(239\) | 7.00907 | + | 5.09239i | 0.453379 | + | 0.329399i | 0.790929 | − | 0.611909i | \(-0.209598\pi\) |
−0.337549 | + | 0.941308i | \(0.609598\pi\) | |||||||
\(240\) | 3.21184 | + | 3.42591i | 0.207324 | + | 0.221141i | ||||
\(241\) | 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 | ||||
\(245\) | −0.420187 | − | 0.619383i | −0.0268448 | − | 0.0395709i | ||||
\(246\) | −4.05743 | + | 2.94790i | −0.258693 | + | 0.187951i | ||||
\(247\) | 5.29168 | + | 10.3855i | 0.336702 | + | 0.660814i | ||||
\(248\) | −19.1911 | − | 37.6646i | −1.21863 | − | 2.39171i | ||||
\(249\) | 4.01148 | − | 2.91451i | 0.254217 | − | 0.184700i | ||||
\(250\) | 17.2844 | + | 20.9985i | 1.09316 | + | 1.32806i | ||||
\(251\) | −2.90262 | − | 8.93333i | −0.183211 | − | 0.563867i | 0.816701 | − | 0.577060i | \(-0.195800\pi\) |
−0.999913 | + | 0.0131934i | \(0.995800\pi\) | |||||||
\(252\) | −18.8972 | − | 18.8972i | −1.19041 | − | 1.19041i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 5.77750i | − | 0.362513i | ||||||
\(255\) | 0.0407021 | − | 1.26209i | 0.00254886 | − | 0.0790350i | ||||
\(256\) | 25.2270 | + | 18.3285i | 1.57668 | + | 1.14553i | ||||
\(257\) | 2.88462 | − | 18.2128i | 0.179938 | − | 1.13608i | −0.718027 | − | 0.696015i | \(-0.754955\pi\) |
0.897965 | − | 0.440067i | \(-0.145045\pi\) | |||||||
\(258\) | −7.18260 | + | 3.65972i | −0.447169 | + | 0.227844i | ||||
\(259\) | −6.06178 | + | 18.6562i | −0.376661 | + | 1.15924i | ||||
\(260\) | −11.8710 | + | 21.5513i | −0.736211 | + | 1.33656i | ||||
\(261\) | −10.7789 | + | 14.8359i | −0.667198 | + | 0.918320i | ||||
\(262\) | −6.77256 | − | 3.45079i | −0.418410 | − | 0.213191i | ||||
\(263\) | −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 | ||||
\(267\) | −2.49902 | + | 0.395807i | −0.152938 | + | 0.0242230i | ||||
\(268\) | −16.1155 | − | 2.55244i | −0.984410 | − | 0.155915i | ||||
\(269\) | −27.0639 | − | 8.79360i | −1.65012 | − | 0.536155i | −0.671350 | − | 0.741140i | \(-0.734285\pi\) |
−0.978765 | + | 0.204985i | \(0.934285\pi\) | |||||||
\(270\) | −14.4933 | − | 11.2612i | −0.882032 | − | 0.685337i | ||||
\(271\) | −17.4468 | − | 24.0135i | −1.05982 | − | 1.45871i | −0.879976 | − | 0.475018i | \(-0.842442\pi\) |
−0.179841 | − | 0.983696i | \(-0.557558\pi\) | |||||||
\(272\) | 0.518774 | + | 3.27541i | 0.0314553 | + | 0.198601i | ||||
\(273\) | −1.96876 | + | 3.86390i | −0.119154 | + | 0.233854i | ||||
\(274\) | 40.2251 | 2.43009 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.346917 | −0.0208820 | ||||||||
\(277\) | −5.63843 | + | 11.0660i | −0.338780 | + | 0.664894i | −0.996053 | − | 0.0887589i | \(-0.971710\pi\) |
0.657273 | + | 0.753653i | \(0.271710\pi\) | |||||||
\(278\) | 1.64412 | + | 10.3805i | 0.0986076 | + | 0.622584i | ||||
\(279\) | 14.0754 | + | 19.3731i | 0.842672 | + | 1.15984i | ||||
\(280\) | −21.2635 | − | 16.5217i | −1.27073 | − | 0.987358i | ||||
\(281\) | −20.8044 | − | 6.75975i | −1.24108 | − | 0.403253i | −0.386366 | − | 0.922345i | \(-0.626270\pi\) |
−0.854718 | + | 0.519093i | \(0.826270\pi\) | |||||||
\(282\) | −1.51914 | − | 0.240608i | −0.0904635 | − | 0.0143280i | ||||
\(283\) | 26.8627 | − | 4.25463i | 1.59682 | − | 0.252912i | 0.706320 | − | 0.707892i | \(-0.250354\pi\) |
0.890501 | + | 0.454981i | \(0.150354\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | −1.85099 | − | 0.943124i | −0.109070 | − | 0.0555741i | ||||
\(289\) | −9.46821 | + | 13.0319i | −0.556953 | + | 0.766581i | ||||
\(290\) | −18.2134 | + | 33.0656i | −1.06953 | + | 1.94168i | ||||
\(291\) | 2.66545 | − | 8.20340i | 0.156251 | − | 0.480892i | ||||
\(292\) | 6.18303 | − | 3.15041i | 0.361834 | − | 0.184364i | ||||
\(293\) | −3.14625 | + | 19.8646i | −0.183806 | + | 1.16050i | 0.707369 | + | 0.706844i | \(0.249882\pi\) |
−0.891175 | + | 0.453660i | \(0.850118\pi\) | |||||||
\(294\) | 0.393936 | + | 0.286211i | 0.0229748 | + | 0.0166922i | ||||
\(295\) | 0.467181 | − | 14.4863i | 0.0272004 | − | 0.843426i | ||||
\(296\) | − | 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 | ||||
\(300\) | −10.0727 | − | 5.97935i | −0.581545 | − | 0.345218i | ||||
\(301\) | 11.5740 | − | 8.40900i | 0.667114 | − | 0.484686i | ||||
\(302\) | −13.1777 | − | 25.8628i | −0.758294 | − | 1.48824i | ||||
\(303\) | 0.525391 | + | 1.03114i | 0.0301829 | + | 0.0592373i | ||||
\(304\) | 11.7900 | − | 8.56597i | 0.676206 | − | 0.491292i | ||||
\(305\) | −11.9574 | − | 17.6259i | −0.684677 | − | 1.00926i | ||||
\(306\) | −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 | ||||||||
\(310\) | 33.7151 | + | 35.9622i | 1.91489 | + | 2.04252i | ||||
\(311\) | −18.8330 | − | 13.6830i | −1.06792 | − | 0.775892i | −0.0923861 | − | 0.995723i | \(-0.529449\pi\) |
−0.975538 | + | 0.219831i | \(0.929449\pi\) | |||||||
\(312\) | 1.22567 | − | 7.73857i | 0.0693898 | − | 0.438110i | ||||
\(313\) | −12.4901 | + | 6.36402i | −0.705982 | + | 0.359716i | −0.769834 | − | 0.638244i | \(-0.779661\pi\) |
0.0638526 | + | 0.997959i | \(0.479661\pi\) | |||||||
\(314\) | 1.02347 | − | 3.14992i | 0.0577578 | − | 0.177760i | ||||
\(315\) | 13.3613 | + | 7.35974i | 0.752822 | + | 0.414674i | ||||
\(316\) | 9.99799 | − | 13.7611i | 0.562431 | − | 0.774120i | ||||
\(317\) | −26.2847 | − | 13.3927i | −1.47630 | − | 0.752211i | −0.483881 | − | 0.875134i | \(-0.660773\pi\) |
−0.992416 | + | 0.122922i | \(0.960773\pi\) | |||||||
\(318\) | 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 | ||||
\(322\) | 0.918543 | − | 0.145483i | 0.0511884 | − | 0.00810744i | ||||
\(323\) | −3.87045 | − | 0.613019i | −0.215357 | − | 0.0341093i | ||||
\(324\) | −22.0165 | − | 7.15358i | −1.22314 | − | 0.397421i | ||||
\(325\) | 3.08615 | − | 13.7007i | 0.171189 | − | 0.759978i | ||||
\(326\) | −32.8055 | − | 45.1528i | −1.81693 | − | 2.50078i | ||||
\(327\) | 0.301535 | + | 1.90381i | 0.0166749 | + | 0.105281i | ||||
\(328\) | −7.30063 | + | 14.3283i | −0.403110 | + | 0.791148i | ||||
\(329\) | 2.72962 | 0.150489 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.18560 | 0.120131 | 0.0600657 | − | 0.998194i | \(-0.480869\pi\) | ||||
0.0600657 | + | 0.998194i | \(0.480869\pi\) | |||||||
\(332\) | 14.7464 | − | 28.9415i | 0.809316 | − | 1.58837i | ||||
\(333\) | 3.14076 | + | 19.8300i | 0.172113 | + | 1.08668i | ||||
\(334\) | 20.5331 | + | 28.2614i | 1.12352 | + | 1.54639i | ||||
\(335\) | 9.24073 | − | 1.15965i | 0.504875 | − | 0.0633586i | ||||
\(336\) | 5.15658 | + | 1.67548i | 0.281315 | + | 0.0914047i | ||||
\(337\) | −1.77982 | − | 0.281896i | −0.0969531 | − | 0.0153559i | 0.107769 | − | 0.994176i | \(-0.465629\pi\) |
−0.204722 | + | 0.978820i | \(0.565629\pi\) | |||||||
\(338\) | −12.2791 | + | 1.94482i | −0.667894 | + | 0.105784i | ||||
\(339\) | 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 | ||||
\(343\) | −16.8723 | − | 8.59685i | −0.911017 | − | 0.464186i | ||||
\(344\) | −15.1929 | + | 20.9112i | −0.819144 | + | 1.12746i | ||||
\(345\) | 0.190200 | − | 0.0550884i | 0.0102400 | − | 0.00296586i | ||||
\(346\) | −16.7643 | + | 51.5953i | −0.901257 | + | 2.77378i | ||||
\(347\) | 19.1319 | − | 9.74821i | 1.02706 | − | 0.523311i | 0.142525 | − | 0.989791i | \(-0.454478\pi\) |
0.884532 | + | 0.466480i | \(0.154478\pi\) | |||||||
\(348\) | 2.54343 | − | 16.0586i | 0.136342 | − | 0.860830i | ||||
\(349\) | −8.62120 | − | 6.26367i | −0.461482 | − | 0.335286i | 0.332630 | − | 0.943057i | \(-0.392064\pi\) |
−0.794112 | + | 0.607771i | \(0.792064\pi\) | |||||||
\(350\) | 29.1772 | + | 11.6076i | 1.55959 | + | 0.620454i | ||||
\(351\) | 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 | ||||
\(355\) | 2.34277 | − | 1.58933i | 0.124341 | − | 0.0843527i | ||||
\(356\) | −13.4092 | + | 9.74233i | −0.710684 | + | 0.516342i | ||||
\(357\) | −0.661890 | − | 1.29903i | −0.0350309 | − | 0.0687521i | ||||
\(358\) | 4.82414 | + | 9.46790i | 0.254963 | + | 0.500394i | ||||
\(359\) | −2.64887 | + | 1.92452i | −0.139802 | + | 0.101572i | −0.655488 | − | 0.755205i | \(-0.727537\pi\) |
0.515686 | + | 0.856778i | \(0.327537\pi\) | |||||||
\(360\) | −27.0679 | − | 5.18655i | −1.42660 | − | 0.273355i | ||||
\(361\) | −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 | ||||||||
\(365\) | −2.88962 | + | 2.70906i | −0.151249 | + | 0.141799i | ||||
\(366\) | 11.2103 | + | 8.14479i | 0.585974 | + | 0.425735i | ||||
\(367\) | −2.85177 | + | 18.0053i | −0.148861 | + | 0.939871i | 0.794298 | + | 0.607529i | \(0.207839\pi\) |
−0.943159 | + | 0.332342i | \(0.892161\pi\) | |||||||
\(368\) | −0.463354 | + | 0.236091i | −0.0241540 | + | 0.0123071i | ||||
\(369\) | 2.81505 | − | 8.66382i | 0.146545 | − | 0.451020i | ||||
\(370\) | 11.4980 | + | 39.6982i | 0.597752 | + | 2.06381i | ||||
\(371\) | −6.25607 | + | 8.61074i | −0.324799 | + | 0.447047i | ||||
\(372\) | −18.9171 | − | 9.63872i | −0.980803 | − | 0.499744i | ||||
\(373\) | 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 | ||||
\(377\) | 19.2532 | − | 3.04941i | 0.991590 | − | 0.157052i | ||||
\(378\) | −20.9303 | − | 3.31503i | −1.07654 | − | 0.170507i | ||||
\(379\) | 20.9834 | + | 6.81794i | 1.07785 | + | 0.350214i | 0.793539 | − | 0.608519i | \(-0.208236\pi\) |
0.284308 | + | 0.958733i | \(0.408236\pi\) | |||||||
\(380\) | −22.3036 | + | 28.7049i | −1.14415 | + | 1.47253i | ||||
\(381\) | −0.834843 | − | 1.14906i | −0.0427703 | − | 0.0588683i | ||||
\(382\) | −2.46316 | − | 15.5518i | −0.126026 | − | 0.795697i | ||||
\(383\) | −8.93896 | + | 17.5437i | −0.456759 | + | 0.896441i | 0.541680 | + | 0.840585i | \(0.317789\pi\) |
−0.998439 | + | 0.0558556i | \(0.982211\pi\) | |||||||
\(384\) | 12.0594 | 0.615402 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.44874 | 0.124638 | ||||||||
\(387\) | 6.64748 | − | 13.0464i | 0.337910 | − | 0.663187i | ||||
\(388\) | −8.83921 | − | 55.8086i | −0.448743 | − | 2.83325i | ||||
\(389\) | −10.0633 | − | 13.8509i | −0.510227 | − | 0.702268i | 0.473730 | − | 0.880670i | \(-0.342907\pi\) |
−0.983958 | + | 0.178402i | \(0.942907\pi\) | |||||||
\(390\) | 1.13768 | + | 9.06561i | 0.0576084 | + | 0.459055i | ||||
\(391\) | 0.132991 | + | 0.0432114i | 0.00672564 | + | 0.00218529i | ||||
\(392\) | 1.54208 | + | 0.244242i | 0.0778870 | + | 0.0123361i | ||||
\(393\) | −1.84560 | + | 0.292315i | −0.0930983 | + | 0.0147453i | ||||
\(394\) | 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 | \(0.190358\pi\) | |||||||
\(398\) | 7.05679 | + | 3.59562i | 0.353725 | + | 0.180232i | ||||
\(399\) | −3.76591 | + | 5.18333i | −0.188531 | + | 0.259491i | ||||
\(400\) | −17.5226 | − | 1.13138i | −0.876128 | − | 0.0565688i | ||||
\(401\) | 3.79327 | − | 11.6745i | 0.189427 | − | 0.582996i | −0.810570 | − | 0.585642i | \(-0.800842\pi\) |
0.999996 | + | 0.00264628i | \(0.000842338\pi\) | |||||||
\(402\) | −5.39858 | + | 2.75072i | −0.269257 | + | 0.137193i | ||||
\(403\) | 3.98199 | − | 25.1413i | 0.198357 | − | 1.25238i | ||||
\(404\) | 6.13319 | + | 4.45603i | 0.305138 | + | 0.221696i | ||||
\(405\) | 13.2066 | + | 0.425911i | 0.656242 | + | 0.0211637i | ||||
\(406\) | 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 | −0.917616 | − | 0.397469i | \(-0.869889\pi\) |
0.508740 | − | 0.860920i | \(-0.330111\pi\) | |||||||
\(410\) | 3.52906 | − | 18.4176i | 0.174288 | − | 0.909581i | ||||
\(411\) | 8.00021 | − | 5.81249i | 0.394621 | − | 0.286709i | ||||
\(412\) | 3.05771 | + | 6.00109i | 0.150643 | + | 0.295653i | ||||
\(413\) | −7.59722 | − | 14.9104i | −0.373835 | − | 0.733692i | ||||
\(414\) | 0.770055 | − | 0.559478i | 0.0378462 | − | 0.0274968i | ||||
\(415\) | −3.48909 | + | 18.2090i | −0.171272 | + | 0.893846i | ||||
\(416\) | 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 | \(0.886916\pi\) | |||||||
\(420\) | −13.5174 | − | 0.435934i | −0.659581 | − | 0.0212714i | ||||
\(421\) | 5.58723 | + | 4.05936i | 0.272305 | + | 0.197841i | 0.715554 | − | 0.698557i | \(-0.246174\pi\) |
−0.443249 | + | 0.896398i | \(0.646174\pi\) | |||||||
\(422\) | 9.45316 | − | 59.6849i | 0.460172 | − | 2.90541i | ||||
\(423\) | 2.48925 | − | 1.26834i | 0.121031 | − | 0.0616686i | ||||
\(424\) | 5.94238 | − | 18.2888i | 0.288588 | − | 0.888181i | ||||
\(425\) | 3.11658 | + | 3.54682i | 0.151177 | + | 0.172046i | ||||
\(426\) | −1.08257 | + | 1.49003i | −0.0524508 | + | 0.0721924i | ||||
\(427\) | −21.9112 | − | 11.1643i | −1.06036 | − | 0.540279i | ||||
\(428\) | −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 | \(-0.544995\pi\) |
0.467943 | + | 0.883759i | \(0.344995\pi\) | |||||||
\(432\) | 11.7038 | − | 1.85371i | 0.563101 | − | 0.0891865i | ||||
\(433\) | −16.5957 | − | 2.62850i | −0.797540 | − | 0.126318i | −0.255652 | − | 0.966769i | \(-0.582290\pi\) |
−0.541888 | + | 0.840451i | \(0.682290\pi\) | |||||||
\(434\) | 54.1293 | + | 17.5877i | 2.59829 | + | 0.844236i | ||||
\(435\) | 1.15556 | + | 9.20810i | 0.0554047 | + | 0.441495i | ||||
\(436\) | 7.42193 | + | 10.2154i | 0.355446 | + | 0.489229i | ||||
\(437\) | −0.0961303 | − | 0.606943i | −0.00459854 | − | 0.0290340i | ||||
\(438\) | 1.16988 | − | 2.29603i | 0.0558992 | − | 0.109708i | ||||
\(439\) | 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 | ||||||||
\(442\) | −2.92921 | + | 5.74890i | −0.139328 | + | 0.273447i | ||||
\(443\) | −2.93938 | − | 18.5585i | −0.139654 | − | 0.881741i | −0.953660 | − | 0.300885i | \(-0.902718\pi\) |
0.814007 | − | 0.580856i | \(-0.197282\pi\) | |||||||
\(444\) | −10.4629 | − | 14.4009i | −0.496547 | − | 0.683439i | ||||
\(445\) | 5.80463 | − | 7.47059i | 0.275166 | − | 0.354140i | ||||
\(446\) | −45.3221 | − | 14.7261i | −2.14607 | − | 0.697299i | ||||
\(447\) | 4.98790 | + | 0.790006i | 0.235920 | + | 0.0373660i | ||||
\(448\) | −22.7865 | + | 3.60902i | −1.07656 | + | 0.170510i | ||||
\(449\) | 0.678469 | − | 0.220448i | 0.0320189 | − | 0.0104036i | −0.292964 | − | 0.956124i | \(-0.594642\pi\) |
0.324983 | + | 0.945720i | \(0.394642\pi\) | |||||||
\(450\) | 32.0014 | − | 2.97190i | 1.50856 | − | 0.140097i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 30.8954 | − | 30.8954i | 1.45320 | − | 1.45320i | ||||
\(453\) | −6.35802 | − | 3.23957i | −0.298726 | − | 0.152208i | ||||
\(454\) | 1.46261 | − | 2.01311i | 0.0686437 | − | 0.0944800i | ||||
\(455\) | −4.51100 | − | 15.5748i | −0.211479 | − | 0.730157i | ||||
\(456\) | 3.57709 | − | 11.0091i | 0.167512 | − | 0.515550i | ||||
\(457\) | 17.2365 | − | 8.78244i | 0.806290 | − | 0.410825i | −0.00171662 | − | 0.999999i | \(-0.500546\pi\) |
0.808007 | + | 0.589173i | \(0.200546\pi\) | |||||||
\(458\) | −0.0387577 | + | 0.244706i | −0.00181103 | + | 0.0114344i | ||||
\(459\) | −2.57780 | − | 1.87288i | −0.120321 | − | 0.0874186i | ||||
\(460\) | 0.946323 | − | 0.887192i | 0.0441225 | − | 0.0413656i | ||||
\(461\) | − | 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 | ||||
\(465\) | 11.9020 | + | 2.28057i | 0.551940 | + | 0.105759i | ||||
\(466\) | 42.1155 | − | 30.5987i | 1.95096 | − | 1.41746i | ||||
\(467\) | −6.72802 | − | 13.2045i | −0.311336 | − | 0.611031i | 0.681323 | − | 0.731983i | \(-0.261405\pi\) |
−0.992658 | + | 0.120953i | \(0.961405\pi\) | |||||||
\(468\) | 13.1999 | + | 25.9062i | 0.610165 | + | 1.19752i | ||||
\(469\) | 8.69924 | − | 6.32036i | 0.401693 | − | 0.291847i | ||||
\(470\) | 4.75925 | − | 3.22866i | 0.219528 | − | 0.148927i | ||||
\(471\) | −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 | ||||||
\(475\) | 7.66994 | − | 19.2793i | 0.351921 | − | 0.884596i | ||||
\(476\) | −7.72663 | − | 5.61373i | −0.354150 | − | 0.257305i | ||||
\(477\) | −1.70412 | + | 10.7594i | −0.0780263 | + | 0.492638i | ||||
\(478\) | 18.7782 | − | 9.56795i | 0.858893 | − | 0.437628i | ||||
\(479\) | −8.52455 | + | 26.2359i | −0.389496 | + | 1.19875i | 0.543669 | + | 0.839300i | \(0.317035\pi\) |
−0.933165 | + | 0.359447i | \(0.882965\pi\) | |||||||
\(480\) | −1.00980 | + | 0.292474i | −0.0460910 | + | 0.0133495i | ||||
\(481\) | 12.5443 | − | 17.2658i | 0.571973 | − | 0.787253i | ||||
\(482\) | 23.0817 | + | 11.7607i | 1.05134 | + | 0.535685i | ||||
\(483\) | 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 | ||||
\(487\) | 38.4169 | − | 6.08463i | 1.74083 | − | 0.275721i | 0.796483 | − | 0.604661i | \(-0.206691\pi\) |
0.944351 | + | 0.328940i | \(0.106691\pi\) | |||||||
\(488\) | 43.8835 | + | 6.95046i | 1.98651 | + | 0.314632i | ||||
\(489\) | −13.0491 | − | 4.23990i | −0.590100 | − | 0.191735i | ||||
\(490\) | −1.80653 | + | 0.226708i | −0.0816106 | + | 0.0102416i | ||||
\(491\) | 11.0511 | + | 15.2106i | 0.498730 | + | 0.686443i | 0.981968 | − | 0.189046i | \(-0.0605395\pi\) |
−0.483238 | + | 0.875489i | \(0.660539\pi\) | |||||||
\(492\) | 1.26347 | + | 7.97726i | 0.0569618 | + | 0.359643i | ||||
\(493\) | −2.97525 | + | 5.83926i | −0.133999 | + | 0.262987i | ||||
\(494\) | 28.3541 | 1.27571 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −31.8258 | −1.42902 | ||||||||
\(497\) | 1.48392 | − | 2.91235i | 0.0665628 | − | 0.130637i | ||||
\(498\) | −1.88690 | − | 11.9134i | −0.0845539 | − | 0.533853i | ||||
\(499\) | −3.07983 | − | 4.23902i | −0.137872 | − | 0.189765i | 0.734498 | − | 0.678611i | \(-0.237418\pi\) |
−0.872370 | + | 0.488846i | \(0.837418\pi\) | |||||||
\(500\) | 42.7676 | − | 9.44892i | 1.91263 | − | 0.422569i | ||||
\(501\) | 8.16748 | + | 2.65378i | 0.364896 | + | 0.118562i | ||||
\(502\) | −22.5682 | − | 3.57445i | −1.00727 | − | 0.159535i | ||||
\(503\) | 13.0299 | − | 2.06374i | 0.580976 | − | 0.0920176i | 0.140973 | − | 0.990014i | \(-0.454977\pi\) |
0.440004 | + | 0.897996i | \(0.354977\pi\) | |||||||
\(504\) | −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 | ||||
\(508\) | −8.29012 | − | 4.22403i | −0.367815 | − | 0.187411i | ||||
\(509\) | −3.28913 | + | 4.52710i | −0.145788 | + | 0.200660i | −0.875666 | − | 0.482918i | \(-0.839577\pi\) |
0.729878 | + | 0.683578i | \(0.239577\pi\) | |||||||
\(510\) | −2.69057 | − | 1.48204i | −0.119140 | − | 0.0656256i | ||||
\(511\) | −1.41320 | + | 4.34937i | −0.0625162 | + | 0.192405i | ||||
\(512\) | 31.6509 | − | 16.1269i | 1.39878 | − | 0.712716i | ||||
\(513\) | −2.19047 | + | 13.8301i | −0.0967114 | + | 0.610612i | ||||
\(514\) | −36.2897 | − | 26.3660i | −1.60067 | − | 1.16295i | ||||
\(515\) | −2.62935 | − | 2.80459i | −0.115863 | − | 0.123585i | ||||
\(516\) | 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 | ||||
\(520\) | 16.4469 | + | 24.2438i | 0.721245 | + | 1.06316i | ||||
\(521\) | −15.4337 | + | 11.2132i | −0.676163 | + | 0.491261i | −0.872082 | − | 0.489359i | \(-0.837231\pi\) |
0.195920 | + | 0.980620i | \(0.437231\pi\) | |||||||
\(522\) | 20.2522 | + | 39.7472i | 0.886415 | + | 1.73969i | ||||
\(523\) | 15.9344 | + | 31.2730i | 0.696762 | + | 1.36747i | 0.919693 | + | 0.392638i | \(0.128437\pi\) |
−0.222932 | + | 0.974834i | \(0.571563\pi\) | |||||||
\(524\) | −9.90306 | + | 7.19499i | −0.432617 | + | 0.314315i | ||||
\(525\) | 7.48022 | − | 1.90748i | 0.326464 | − | 0.0832493i | ||||
\(526\) | 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 | ||||||
\(530\) | −0.722819 | + | 22.4131i | −0.0313973 | + | 0.973563i | ||||
\(531\) | −13.8564 | − | 10.0673i | −0.601317 | − | 0.436882i | ||||
\(532\) | −6.56565 | + | 41.4539i | −0.284657 | + | 1.79725i | ||||
\(533\) | −8.62800 | + | 4.39619i | −0.373720 | + | 0.190420i | ||||
\(534\) | −1.90196 | + | 5.85364i | −0.0823060 | + | 0.253312i | ||||
\(535\) | 4.48694 | − | 8.14583i | 0.193987 | − | 0.352175i | ||||
\(536\) | −11.4193 | + | 15.7173i | −0.493237 | + | 0.678882i | ||||
\(537\) | 2.32756 | + | 1.18595i | 0.100441 | + | 0.0511775i | ||||
\(538\) | −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 | \(-0.582606\pi\) |
0.360501 | + | 0.932759i | \(0.382606\pi\) | |||||||
\(542\) | −71.3159 | + | 11.2953i | −3.06328 | + | 0.485176i | ||||
\(543\) | −5.57568 | − | 0.883100i | −0.239275 | − | 0.0378975i | ||||
\(544\) | −0.706072 | − | 0.229417i | −0.0302726 | − | 0.00983616i | ||||
\(545\) | −5.69127 | − | 4.42210i | −0.243787 | − | 0.189422i | ||||
\(546\) | 6.20059 | + | 8.53438i | 0.265361 | + | 0.365238i | ||||
\(547\) | −2.31906 | − | 14.6420i | −0.0991559 | − | 0.626045i | −0.986352 | − | 0.164652i | \(-0.947350\pi\) |
0.887196 | − | 0.461393i | \(-0.152650\pi\) | |||||||
\(548\) | 29.4093 | − | 57.7189i | 1.25630 | − | 2.46563i | ||||
\(549\) | −25.1693 | −1.07420 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 28.7998 | 1.22691 | ||||||||
\(552\) | −0.187529 | + | 0.368046i | −0.00798176 | + | 0.0156651i | ||||
\(553\) | 1.75358 | + | 11.0717i | 0.0745700 | + | 0.470816i | ||||
\(554\) | 17.7582 | + | 24.4421i | 0.754474 | + | 1.03844i | ||||
\(555\) | 8.02314 | + | 6.23396i | 0.340563 | + | 0.264617i | ||||
\(556\) | 16.0971 | + | 5.23025i | 0.682667 | + | 0.221812i | ||||
\(557\) | 12.6042 | + | 1.99631i | 0.534058 | + | 0.0845865i | 0.417638 | − | 0.908614i | \(-0.362858\pi\) |
0.116420 | + | 0.993200i | \(0.462858\pi\) | |||||||
\(558\) | 57.5349 | − | 9.11263i | 2.43564 | − | 0.385768i | ||||
\(559\) | −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 | ||||
\(563\) | 29.8770 | + | 15.2231i | 1.25917 | + | 0.641578i | 0.950834 | − | 0.309701i | \(-0.100229\pi\) |
0.308333 | + | 0.951278i | \(0.400229\pi\) | |||||||
\(564\) | −1.45592 | + | 2.00390i | −0.0613052 | + | 0.0843794i | ||||
\(565\) | −12.0326 | + | 21.8446i | −0.506215 | + | 0.919010i | ||||
\(566\) | 20.4447 | − | 62.9224i | 0.859356 | − | 2.64483i | ||||
\(567\) | 13.5932 | − | 6.92609i | 0.570862 | − | 0.290868i | ||||
\(568\) | −0.923828 | + | 5.83282i | −0.0387629 | + | 0.244740i | ||||
\(569\) | −6.73005 | − | 4.88967i | −0.282139 | − | 0.204986i | 0.437711 | − | 0.899116i | \(-0.355789\pi\) |
−0.719850 | + | 0.694130i | \(0.755789\pi\) | |||||||
\(570\) | −0.435109 | + | 13.4918i | −0.0182247 | + | 0.565110i | ||||
\(571\) | − | 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 | ||||
\(575\) | −0.377947 | + | 0.636679i | −0.0157615 | + | 0.0265514i | ||||
\(576\) | −19.1029 | + | 13.8791i | −0.795955 | + | 0.578295i | ||||
\(577\) | −10.4119 | − | 20.4344i | −0.433452 | − | 0.850697i | −0.999651 | − | 0.0264283i | \(-0.991587\pi\) |
0.566199 | − | 0.824269i | \(-0.308413\pi\) | |||||||
\(578\) | 17.7896 | + | 34.9140i | 0.739948 | + | 1.45223i | ||||
\(579\) | 0.487020 | − | 0.353841i | 0.0202399 | − | 0.0147051i | ||||
\(580\) | 34.1296 | + | 50.3092i | 1.41715 | + | 2.08897i | ||||
\(581\) | 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 | ||||||
\(585\) | −11.3507 | − | 12.1072i | −0.469293 | − | 0.500571i | ||||
\(586\) | 39.5811 | + | 28.7573i | 1.63508 | + | 1.18795i | ||||
\(587\) | −1.57947 | + | 9.97239i | −0.0651917 | + | 0.411605i | 0.933413 | + | 0.358803i | \(0.116815\pi\) |
−0.998605 | + | 0.0528014i | \(0.983185\pi\) | |||||||
\(588\) | 0.698697 | − | 0.356004i | 0.0288138 | − | 0.0146814i | ||||
\(589\) | 11.6214 | − | 35.7669i | 0.478850 | − | 1.47375i | ||||
\(590\) | −30.8825 | − | 17.0109i | −1.27141 | − | 0.700328i | ||||
\(591\) | 8.62106 | − | 11.8659i | 0.354623 | − | 0.488097i | ||||
\(592\) | −23.7750 | − | 12.1140i | −0.977147 | − | 0.497881i | ||||
\(593\) | 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 | ||||
\(597\) | 1.92306 | − | 0.304583i | 0.0787056 | − | 0.0124657i | ||||
\(598\) | −0.999334 | − | 0.158279i | −0.0408658 | − | 0.00647251i | ||||
\(599\) | −38.0508 | − | 12.3635i | −1.55471 | − | 0.505157i | −0.599325 | − | 0.800506i | \(-0.704564\pi\) |
−0.955390 | + | 0.295349i | \(0.904564\pi\) | |||||||
\(600\) | −11.7884 | + | 7.45395i | −0.481259 | + | 0.304306i | ||||
\(601\) | 21.3719 | + | 29.4160i | 0.871780 | + | 1.19990i | 0.978630 | + | 0.205627i | \(0.0659234\pi\) |
−0.106850 | + | 0.994275i | \(0.534077\pi\) | |||||||
\(602\) | −5.44411 | − | 34.3728i | −0.221885 | − | 1.40093i | ||||
\(603\) | 4.99638 | − | 9.80594i | 0.203468 | − | 0.399329i | ||||
\(604\) | −46.7449 | −1.90202 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2.81517 | 0.114358 | ||||||||
\(607\) | −11.3180 | + | 22.2128i | −0.459383 | + | 0.901590i | 0.538863 | + | 0.842393i | \(0.318854\pi\) |
−0.998246 | + | 0.0591966i | \(0.981146\pi\) | |||||||
\(608\) | 0.510372 | + | 3.22236i | 0.0206983 | + | 0.130684i | ||||
\(609\) | 6.29805 | + | 8.66852i | 0.255210 | + | 0.351266i | ||||
\(610\) | −51.4088 | + | 6.45147i | −2.08148 | + | 0.261213i | ||||
\(611\) | −2.82436 | − | 0.917690i | −0.114261 | − | 0.0371258i | ||||
\(612\) | −9.65467 | − | 1.52915i | −0.390267 | − | 0.0618122i | ||||
\(613\) | −11.5470 | + | 1.82887i | −0.466380 | + | 0.0738674i | −0.385202 | − | 0.922832i | \(-0.625868\pi\) |
−0.0811783 | + | 0.996700i | \(0.525868\pi\) | |||||||
\(614\) | −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 | \(0.193672\pi\) | |||||||
\(618\) | 2.22847 | + | 1.13546i | 0.0896420 | + | 0.0456749i | ||||
\(619\) | −0.645775 | + | 0.888833i | −0.0259559 | + | 0.0357252i | −0.821798 | − | 0.569779i | \(-0.807029\pi\) |
0.795842 | + | 0.605505i | \(0.207029\pi\) | |||||||
\(620\) | 76.2517 | − | 22.0852i | 3.06234 | − | 0.886961i | ||||
\(621\) | 0.154405 | − | 0.475209i | 0.00619605 | − | 0.0190695i | ||||
\(622\) | −50.4560 | + | 25.7086i | −2.02310 | + | 1.03082i | ||||
\(623\) | 1.70874 | − | 10.7886i | 0.0684593 | − | 0.432235i | ||||
\(624\) | −4.77227 | − | 3.46725i | −0.191044 | − | 0.138801i | ||||
\(625\) | −21.9472 | + | 11.9717i | −0.877887 | + | 0.478867i | ||||
\(626\) | 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 | ||||
\(630\) | 30.7077 | − | 20.8320i | 1.22343 | − | 0.829968i | ||||
\(631\) | 2.63807 | − | 1.91667i | 0.105020 | − | 0.0763014i | −0.534036 | − | 0.845462i | \(-0.679325\pi\) |
0.639056 | + | 0.769160i | \(0.279325\pi\) | |||||||
\(632\) | −9.19468 | − | 18.0456i | −0.365745 | − | 0.717814i | ||||
\(633\) | −6.74431 | − | 13.2365i | −0.268062 | − | 0.526102i | ||||
\(634\) | −58.0563 | + | 42.1804i | −2.30571 | + | 1.67520i | ||||
\(635\) | 5.21586 | + | 0.999427i | 0.206985 | + | 0.0396610i | ||||
\(636\) | −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 | ||||||
\(640\) | −32.8956 | + | 30.8402i | −1.30031 | + | 1.21906i | ||||
\(641\) | 7.21025 | + | 5.23855i | 0.284788 | + | 0.206910i | 0.721003 | − | 0.692932i | \(-0.243681\pi\) |
−0.436215 | + | 0.899842i | \(0.643681\pi\) | |||||||
\(642\) | −0.946473 | + | 5.97579i | −0.0373543 | + | 0.235846i | ||||
\(643\) | 33.0569 | − | 16.8433i | 1.30364 | − | 0.664237i | 0.342296 | − | 0.939592i | \(-0.388796\pi\) |
0.961342 | + | 0.275355i | \(0.0887955\pi\) | |||||||
\(644\) | 0.462809 | − | 1.42438i | 0.0182372 | − | 0.0561284i | ||||
\(645\) | −2.06146 | − | 7.11745i | −0.0811700 | − | 0.280249i | ||||
\(646\) | −5.60311 | + | 7.71202i | −0.220451 | + | 0.303425i | ||||
\(647\) | 19.6483 | + | 10.0113i | 0.772455 | + | 0.393585i | 0.795348 | − | 0.606153i | \(-0.207288\pi\) |
−0.0228938 | + | 0.999738i | \(0.507288\pi\) | |||||||
\(648\) | −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 | ||||
\(652\) | −88.7743 | + | 14.0605i | −3.47667 | + | 0.550650i | ||||
\(653\) | 47.9830 | + | 7.59976i | 1.87772 | + | 0.297402i | 0.987438 | − | 0.158008i | \(-0.0505070\pi\) |
0.890282 | + | 0.455409i | \(0.150507\pi\) | |||||||
\(654\) | 4.45944 | + | 1.44896i | 0.174378 | + | 0.0566588i | ||||
\(655\) | 4.28689 | − | 5.51725i | 0.167503 | − | 0.215577i | ||||
\(656\) | 7.11638 | + | 9.79485i | 0.277848 | + | 0.382425i | ||||
\(657\) | 0.732213 | + | 4.62301i | 0.0285664 | + | 0.180361i | ||||
\(658\) | 3.01452 | − | 5.91633i | 0.117518 | − | 0.230643i | ||||
\(659\) | −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 | \(0.673906\pi\) | |||||||
\(662\) | 2.41372 | − | 4.73719i | 0.0938118 | − | 0.184116i | ||||
\(663\) | 0.248132 | + | 1.56664i | 0.00963665 | + | 0.0608434i | ||||
\(664\) | −22.7329 | − | 31.2891i | −0.882207 | − | 1.21425i | ||||
\(665\) | −2.98297 | − | 23.7699i | −0.115675 | − | 0.921758i | ||||
\(666\) | 46.4492 | + | 15.0923i | 1.79987 | + | 0.584813i | ||||
\(667\) | −1.01504 | − | 0.160767i | −0.0393025 | − | 0.00622491i | ||||
\(668\) | 55.5642 | − | 8.80051i | 2.14985 | − | 0.340502i | ||||
\(669\) | −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 | ||||
\(673\) | −11.7927 | − | 6.00870i | −0.454576 | − | 0.231618i | 0.211683 | − | 0.977338i | \(-0.432106\pi\) |
−0.666259 | + | 0.745720i | \(0.732106\pi\) | |||||||
\(674\) | −2.57659 | + | 3.54637i | −0.0992464 | + | 0.136601i | ||||
\(675\) | 12.6737 | − | 11.1363i | 0.487809 | − | 0.428637i | ||||
\(676\) | −6.18684 | + | 19.0411i | −0.237955 | + | 0.732351i | ||||
\(677\) | −30.6419 | + | 15.6128i | −1.17767 | + | 0.600050i | −0.929556 | − | 0.368682i | \(-0.879809\pi\) |
−0.248110 | + | 0.968732i | \(0.579809\pi\) | |||||||
\(678\) | 2.53815 | − | 16.0252i | 0.0974770 | − | 0.615446i | ||||
\(679\) | 30.1258 | + | 21.8877i | 1.15612 | + | 0.839972i | ||||
\(680\) | −9.84416 | − | 0.317472i | −0.377506 | − | 0.0121745i | ||||
\(681\) | − | 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 | ||||
\(685\) | −6.95838 | + | 36.3148i | −0.265866 | + | 1.38752i | ||||
\(686\) | −37.2666 | + | 27.0758i | −1.42284 | + | 1.03376i | ||||
\(687\) | 0.0276515 | + | 0.0542691i | 0.00105497 | + | 0.00207050i | ||||
\(688\) | 8.83475 | + | 17.3392i | 0.336822 | + | 0.661050i | ||||
\(689\) | 9.36810 | − | 6.80632i | 0.356896 | − | 0.259300i | ||||
\(690\) | 0.0906496 | − | 0.473087i | 0.00345097 | − | 0.0180101i | ||||
\(691\) | 1.01180 | + | 3.11399i | 0.0384905 | + | 0.118462i | 0.968456 | − | 0.249186i | \(-0.0801631\pi\) |
−0.929965 | + | 0.367648i | \(0.880163\pi\) | |||||||
\(692\) | 61.7773 | + | 61.7773i | 2.34842 | + | 2.34842i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 52.2333i | − | 1.98275i | ||||||
\(695\) | −9.65585 | − | 0.311400i | −0.366267 | − | 0.0118121i | ||||
\(696\) | −15.6618 | − | 11.3789i | −0.593657 | − | 0.431317i | ||||
\(697\) | 0.509279 | − | 3.21546i | 0.0192903 | − | 0.121794i | ||||
\(698\) | −23.0972 | + | 11.7686i | −0.874243 | + | 0.445449i | ||||
\(699\) | 3.95470 | − | 12.1713i | 0.149580 | − | 0.460361i | ||||
\(700\) | 37.9877 | − | 33.3797i | 1.43580 | − | 1.26163i | ||||
\(701\) | −3.43439 | + | 4.72703i | −0.129715 | + | 0.178538i | −0.868934 | − | 0.494927i | \(-0.835195\pi\) |
0.739219 | + | 0.673465i | \(0.235195\pi\) | |||||||
\(702\) | 20.5422 | + | 10.4668i | 0.775317 | + | 0.395044i | ||||
\(703\) | 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 | ||||
\(707\) | −4.93457 | + | 0.781559i | −0.185583 | + | 0.0293935i | ||||
\(708\) | 14.9983 | + | 2.37550i | 0.563672 | + | 0.0892769i | ||||
\(709\) | 38.0265 | + | 12.3555i | 1.42811 | + | 0.464022i | 0.918170 | − | 0.396186i | \(-0.129666\pi\) |
0.509943 | + | 0.860208i | \(0.329666\pi\) | |||||||
\(710\) | −0.857505 | − | 6.83305i | −0.0321816 | − | 0.256440i | ||||
\(711\) | 6.74369 | + | 9.28190i | 0.252908 | + | 0.348098i | ||||
\(712\) | 3.08725 | + | 19.4921i | 0.115700 | + | 0.730499i | ||||
\(713\) | −0.609250 | + | 1.19572i | −0.0228166 | + | 0.0447801i | ||||
\(714\) | −3.54657 | −0.132727 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 17.1125 | 0.639523 | ||||||||
\(717\) | 2.35215 | − | 4.61636i | 0.0878427 | − | 0.172401i | ||||
\(718\) | 1.24596 | + | 7.86670i | 0.0464989 | + | 0.293583i | ||||
\(719\) | −11.8728 | − | 16.3415i | −0.442781 | − | 0.609435i | 0.528047 | − | 0.849215i | \(-0.322925\pi\) |
−0.970827 | + | 0.239780i | \(0.922925\pi\) | |||||||
\(720\) | −12.7311 | + | 16.3849i | −0.474459 | + | 0.610631i | ||||
\(721\) | −4.22139 | − | 1.37161i | −0.157213 | − | 0.0510816i | ||||
\(722\) | −4.27476 | − | 0.677056i | −0.159090 | − | 0.0251974i | ||||
\(723\) | 6.29003 | − | 0.996243i | 0.233929 | − | 0.0370507i | ||||
\(724\) | −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 | \(0.00525558\pi\) | |||||||
\(728\) | 30.1380 | + | 15.3561i | 1.11699 | + | 0.569135i | ||||
\(729\) | 5.61971 | − | 7.73487i | 0.208138 | − | 0.286477i | ||||
\(730\) | 2.68055 | + | 9.25493i | 0.0992116 | + | 0.342540i | ||||
\(731\) | 1.61701 | − | 4.97665i | 0.0598073 | − | 0.184068i | ||||
\(732\) | 19.8830 | − | 10.1309i | 0.734897 | − | 0.374449i | ||||
\(733\) | −4.98986 | + | 31.5047i | −0.184305 | + | 1.16365i | 0.705974 | + | 0.708238i | \(0.250510\pi\) |
−0.890279 | + | 0.455416i | \(0.849490\pi\) | |||||||
\(734\) | 35.8763 | + | 26.0657i | 1.32422 | + | 0.962102i | ||||
\(735\) | −0.326534 | + | 0.306131i | −0.0120444 | + | 0.0112918i | ||||
\(736\) | − | 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 | −0.882230 | − | 0.470818i | \(-0.843959\pi\) |
0.437000 | − | 0.899462i | \(-0.356041\pi\) | |||||||
\(740\) | 65.3692 | + | 12.5256i | 2.40302 | + | 0.460450i | ||||
\(741\) | 5.63924 | − | 4.09714i | 0.207162 | − | 0.150512i | ||||
\(742\) | 11.7544 | + | 23.0692i | 0.431516 | + | 0.846897i | ||||
\(743\) | 3.08029 | + | 6.04541i | 0.113005 | + | 0.221785i | 0.940581 | − | 0.339568i | \(-0.110281\pi\) |
−0.827576 | + | 0.561353i | \(0.810281\pi\) | |||||||
\(744\) | −20.4515 | + | 14.8589i | −0.749789 | + | 0.544754i | ||||
\(745\) | −15.6264 | + | 10.6009i | −0.572506 | + | 0.388386i | ||||
\(746\) | −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 | ||||||
\(750\) | 10.7860 | − | 12.1736i | 0.393848 | − | 0.444516i | ||||
\(751\) | 17.8734 | + | 12.9858i | 0.652209 | + | 0.473858i | 0.864023 | − | 0.503452i | \(-0.167937\pi\) |
−0.211814 | + | 0.977310i | \(0.567937\pi\) | |||||||
\(752\) | −0.580841 | + | 3.66728i | −0.0211811 | + | 0.133732i | ||||
\(753\) | −5.00499 | + | 2.55017i | −0.182392 | + | 0.0929334i | ||||
\(754\) | 14.6533 | − | 45.0981i | 0.533640 | − | 1.64238i | ||||
\(755\) | 25.6282 | − | 7.42282i | 0.932706 | − | 0.270144i | ||||
\(756\) | −20.0592 | + | 27.6092i | −0.729547 | + | 1.00414i | ||||
\(757\) | 29.8080 | + | 15.1880i | 1.08339 | + | 0.552016i | 0.902150 | − | 0.431423i | \(-0.141988\pi\) |
0.181242 | + | 0.983439i | \(0.441988\pi\) | |||||||
\(758\) | 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 | \(-0.443442\pi\) |
0.721524 | + | 0.692389i | \(0.243442\pi\) | |||||||
\(762\) | −3.41252 | + | 0.540490i | −0.123623 | + | 0.0195799i | ||||
\(763\) | −8.21898 | − | 1.30176i | −0.297547 | − | 0.0471269i | ||||
\(764\) | −24.1160 | − | 7.83577i | −0.872487 | − | 0.283488i | ||||
\(765\) | 5.53605 | − | 0.694739i | 0.200156 | − | 0.0251184i | ||||
\(766\) | 28.1532 | + | 38.7496i | 1.01722 | + | 1.40008i | ||||
\(767\) | 2.84808 | + | 17.9820i | 0.102838 | + | 0.649294i | ||||
\(768\) | 8.46583 | − | 16.6151i | 0.305484 | − | 0.599547i | ||||
\(769\) | 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 | ||||||||
\(772\) | 1.79032 | − | 3.51369i | 0.0644349 | − | 0.126461i | ||||
\(773\) | −2.58343 | − | 16.3111i | −0.0929194 | − | 0.586670i | −0.989584 | − | 0.143959i | \(-0.954017\pi\) |
0.896664 | − | 0.442711i | \(-0.145983\pi\) | |||||||
\(774\) | −20.9362 | − | 28.8162i | −0.752537 | − | 1.03578i | ||||
\(775\) | −38.2985 | + | 24.2167i | −1.37572 | + | 0.869888i | ||||
\(776\) | −63.9857 | − | 20.7902i | −2.29695 | − | 0.746325i | ||||
\(777\) | 11.5865 | + | 1.83513i | 0.415665 | + | 0.0658348i | ||||
\(778\) | −41.1348 | + | 6.51510i | −1.47475 | + | 0.233578i | ||||
\(779\) | −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 | ||||
\(783\) | 20.8651 | + | 10.6313i | 0.745658 | + | 0.379932i | ||||
\(784\) | 0.690929 | − | 0.950982i | 0.0246760 | − | 0.0339636i | ||||
\(785\) | 2.66666 | + | 1.46887i | 0.0951773 | + | 0.0524262i | ||||
\(786\) | −1.40466 | + | 4.32308i | −0.0501024 | + | 0.154199i | ||||
\(787\) | −3.94509 | + | 2.01012i | −0.140627 | + | 0.0716531i | −0.522888 | − | 0.852401i | \(-0.675146\pi\) |
0.382261 | + | 0.924054i | \(0.375146\pi\) | |||||||
\(788\) | 15.0303 | − | 94.8977i | 0.535433 | − | 3.38059i | ||||
\(789\) | 8.13715 | + | 5.91199i | 0.289690 | + | 0.210472i | ||||
\(790\) | 16.1533 | + | 17.2299i | 0.574709 | + | 0.613013i | ||||
\(791\) | 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 | ||||
\(795\) | 3.09491 | + | 4.56210i | 0.109765 | + | 0.161801i | ||||
\(796\) | 10.3187 | − | 7.49696i | 0.365736 | − | 0.265723i | ||||
\(797\) | 8.72643 | + | 17.1266i | 0.309106 | + | 0.606655i | 0.992339 | − | 0.123546i | \(-0.0394266\pi\) |
−0.683233 | + | 0.730201i | \(0.739427\pi\) | |||||||
\(798\) | 7.07567 | + | 13.8868i | 0.250476 | + | 0.491587i | ||||
\(799\) | 0.807729 | − | 0.586849i | 0.0285754 | − | 0.0207612i | ||||
\(800\) | 2.00658 | − | 3.38024i | 0.0709434 | − | 0.119510i | ||||
\(801\) | −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 | ||||||||
\(805\) | −0.0275548 | + | 0.854416i | −0.000971179 | + | 0.0301142i | ||||
\(806\) | −50.0951 | − | 36.3962i | −1.76452 | − | 1.28200i | ||||
\(807\) | −2.66215 | + | 16.8081i | −0.0937120 | + | 0.591674i | ||||
\(808\) | 8.04277 | − | 4.09799i | 0.282944 | − | 0.144167i | ||||
\(809\) | −9.54622 | + | 29.3802i | −0.335627 | + | 1.03295i | 0.630785 | + | 0.775957i | \(0.282733\pi\) |
−0.966412 | + | 0.256996i | \(0.917267\pi\) | |||||||
\(810\) | 15.5082 | − | 28.1544i | 0.544902 | − | 0.989244i | ||||
\(811\) | 14.7148 | − | 20.2531i | 0.516705 | − | 0.711184i | −0.468327 | − | 0.883555i | \(-0.655143\pi\) |
0.985032 | + | 0.172372i | \(0.0551430\pi\) | |||||||
\(812\) | 62.5405 | + | 31.8660i | 2.19474 | + | 1.11828i | ||||
\(813\) | −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 | ||||
\(817\) | −22.7124 | + | 3.59729i | −0.794606 | + | 0.125853i | ||||
\(818\) | −64.2923 | − | 10.1829i | −2.24793 | − | 0.356037i | ||||
\(819\) | −18.2234 | − | 5.92115i | −0.636778 | − | 0.206902i | ||||
\(820\) | −23.8472 | − | 18.5293i | −0.832782 | − | 0.647070i | ||||
\(821\) | −13.3959 | − | 18.4379i | −0.467520 | − | 0.643486i | 0.508527 | − | 0.861046i | \(-0.330190\pi\) |
−0.976047 | + | 0.217560i | \(0.930190\pi\) | |||||||
\(822\) | −3.76310 | − | 23.7593i | −0.131253 | − | 0.828699i | ||||
\(823\) | 8.01068 | − | 15.7218i | 0.279235 | − | 0.548029i | −0.708209 | − | 0.706003i | \(-0.750496\pi\) |
0.987443 | + | 0.157974i | \(0.0504964\pi\) | |||||||
\(824\) | 8.01946 | 0.279371 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −40.7077 | −1.41640 | ||||||||
\(827\) | −7.56328 | + | 14.8438i | −0.263001 | + | 0.516168i | −0.984311 | − | 0.176444i | \(-0.943540\pi\) |
0.721310 | + | 0.692613i | \(0.243540\pi\) | |||||||
\(828\) | −0.239793 | − | 1.51399i | −0.00833339 | − | 0.0526149i | ||||
\(829\) | −24.5888 | − | 33.8436i | −0.854004 | − | 1.17544i | −0.982966 | − | 0.183786i | \(-0.941165\pi\) |
0.128963 | − | 0.991649i | \(-0.458835\pi\) | |||||||
\(830\) | 35.6140 | + | 27.6720i | 1.23618 | + | 0.960509i | ||||
\(831\) | 7.06372 | + | 2.29514i | 0.245038 | + | 0.0796175i | ||||
\(832\) | 24.7907 | + | 3.92646i | 0.859462 | + | 0.136125i | ||||
\(833\) | −0.312189 | + | 0.0494459i | −0.0108167 | + | 0.00171320i | ||||
\(834\) | 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 | ||||
\(838\) | 30.8648 | + | 15.7264i | 1.06621 | + | 0.543260i | ||||
\(839\) | 30.5197 | − | 42.0067i | 1.05366 | − | 1.45023i | 0.168059 | − | 0.985777i | \(-0.446250\pi\) |
0.885597 | − | 0.464455i | \(-0.153750\pi\) | |||||||
\(840\) | −7.76942 | + | 14.1050i | −0.268071 | + | 0.486670i | ||||
\(841\) | 5.92209 | − | 18.2263i | 0.204210 | − | 0.628494i | ||||
\(842\) | 14.9689 | − | 7.62701i | 0.515861 | − | 0.262844i | ||||
\(843\) | −2.04643 | + | 12.9206i | −0.0704827 | + | 0.445010i | ||||
\(844\) | −78.7303 | − | 57.2009i | −2.71001 | − | 1.96894i | ||||
\(845\) | 0.368353 | − | 11.4218i | 0.0126717 | − | 0.392924i | ||||
\(846\) | − | 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 | ||||
\(850\) | 11.1294 | − | 2.83804i | 0.381737 | − | 0.0973441i | ||||
\(851\) | −0.910264 | + | 0.661346i | −0.0312035 | + | 0.0226706i | ||||
\(852\) | 1.34656 | + | 2.64277i | 0.0461323 | + | 0.0905398i | ||||
\(853\) | −6.35820 | − | 12.4787i | −0.217701 | − | 0.427262i | 0.756167 | − | 0.654379i | \(-0.227070\pi\) |
−0.973867 | + | 0.227117i | \(0.927070\pi\) | |||||||
\(854\) | −48.3963 | + | 35.1620i | −1.65609 | + | 1.20322i | ||||
\(855\) | −13.7651 | − | 20.2907i | −0.470757 | − | 0.693926i | ||||
\(856\) | 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 | \(0.594695\pi\) | |||||||
\(860\) | −33.1996 | − | 35.4123i | −1.13210 | − | 1.20755i | ||||
\(861\) | −4.30617 | − | 3.12862i | −0.146754 | − | 0.106623i | ||||
\(862\) | 2.71680 | − | 17.1532i | 0.0925345 | − | 0.584240i | ||||
\(863\) | 15.3580 | − | 7.82527i | 0.522791 | − | 0.266375i | −0.172619 | − | 0.984989i | \(-0.555223\pi\) |
0.695410 | + | 0.718613i | \(0.255223\pi\) | |||||||
\(864\) | −0.819762 | + | 2.52297i | −0.0278889 | + | 0.0858331i | ||||
\(865\) | −43.6797 | − | 24.0599i | −1.48515 | − | 0.818062i | ||||
\(866\) | −24.0250 | + | 33.0676i | −0.816404 | + | 1.12368i | ||||
\(867\) | 8.58313 | + | 4.37332i | 0.291498 | + | 0.148526i | ||||
\(868\) | 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 | ||||
\(872\) | 14.8496 | − | 2.35194i | 0.502870 | − | 0.0796467i | ||||
\(873\) | 37.6431 | + | 5.96209i | 1.27403 | + | 0.201786i | ||||
\(874\) | −1.42168 | − | 0.461933i | −0.0480892 | − | 0.0156251i | ||||
\(875\) | −15.5265 | + | 24.3329i | −0.524891 | + | 0.822601i | ||||
\(876\) | −2.43924 | − | 3.35733i | −0.0824143 | − | 0.113434i | ||||
\(877\) | −1.10287 | − | 6.96326i | −0.0372413 | − | 0.235133i | 0.962046 | − | 0.272889i | \(-0.0879790\pi\) |
−0.999287 | + | 0.0377560i | \(0.987979\pi\) | |||||||
\(878\) | 0.853608 | − | 1.67530i | 0.0288079 | − | 0.0565386i | ||||
\(879\) | 12.0275 | 0.405678 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −46.6330 | −1.57111 | −0.785553 | − | 0.618794i | \(-0.787622\pi\) | ||||
−0.785553 | + | 0.618794i | \(0.787622\pi\) | |||||||
\(882\) | −0.976773 | + | 1.91702i | −0.0328896 | + | 0.0645496i | ||||
\(883\) | −1.72190 | − | 10.8716i | −0.0579464 | − | 0.365859i | −0.999574 | − | 0.0292016i | \(-0.990704\pi\) |
0.941627 | − | 0.336658i | \(-0.109296\pi\) | |||||||
\(884\) | 6.10749 | + | 8.40623i | 0.205417 | + | 0.282732i | ||||
\(885\) | −8.60015 | + | 1.07926i | −0.289091 | + | 0.0362791i | ||||
\(886\) | −43.4709 | − | 14.1245i | −1.46043 | − | 0.474523i | ||||
\(887\) | −38.4977 | − | 6.09743i | −1.29262 | − | 0.204732i | −0.528020 | − | 0.849232i | \(-0.677066\pi\) |
−0.764604 | + | 0.644500i | \(0.777066\pi\) | |||||||
\(888\) | −20.9338 | + | 3.31560i | −0.702494 | + | 0.111264i | ||||
\(889\) | 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 | ||||
\(893\) | −3.90932 | − | 1.99190i | −0.130820 | − | 0.0666563i | ||||
\(894\) | 7.22081 | − | 9.93859i | 0.241500 | − | 0.332396i | ||||
\(895\) | −9.38202 | + | 2.71736i | −0.313606 | + | 0.0908313i | ||||
\(896\) | −16.0879 | + | 49.5136i | −0.537461 | + | 1.65413i | ||||
\(897\) | −0.221625 | + | 0.112923i | −0.00739983 | + | 0.00377040i | ||||
\(898\) | 0.271472 | − | 1.71401i | 0.00905914 | − | 0.0571972i | ||||
\(899\) | −50.8825 | − | 36.9683i | −1.69703 | − | 1.23296i | ||||
\(900\) | 19.1324 | − | 48.0915i | 0.637745 | − | 1.60305i | ||||
\(901\) | 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 | ||||
\(905\) | 17.4678 | − | 11.8501i | 0.580648 | − | 0.393910i | ||||
\(906\) | −14.0433 | + | 10.2030i | −0.466556 | + | 0.338973i | ||||
\(907\) | −12.7639 | − | 25.0506i | −0.423820 | − | 0.831793i | −0.999896 | − | 0.0143971i | \(-0.995417\pi\) |
0.576077 | − | 0.817396i | \(-0.304583\pi\) | |||||||
\(908\) | −1.81927 | − | 3.57052i | −0.0603746 | − | 0.118492i | ||||
\(909\) | −4.13687 | + | 3.00561i | −0.137211 | + | 0.0996898i | ||||
\(910\) | −38.7395 | − | 7.42299i | −1.28420 | − | 0.246070i | ||||
\(911\) | −9.11103 | − | 28.0409i | −0.301862 | − | 0.929035i | −0.980830 | − | 0.194867i | \(-0.937572\pi\) |
0.678968 | − | 0.734168i | \(-0.262428\pi\) | |||||||
\(912\) | −6.16252 | − | 6.16252i | −0.204061 | − | 0.204061i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 47.0585i | − | 1.55656i | ||||||
\(915\) | −9.29225 | + | 8.71163i | −0.307192 | + | 0.287998i | ||||
\(916\) | 0.322792 | + | 0.234522i | 0.0106654 | + | 0.00774883i | ||||
\(917\) | 1.26196 | − | 7.96768i | 0.0416735 | − | 0.263116i | ||||
\(918\) | −6.90624 | + | 3.51891i | −0.227940 | + | 0.116141i | ||||
\(919\) | 12.6027 | − | 38.7871i | 0.415725 | − | 1.27947i | −0.495877 | − | 0.868393i | \(-0.665153\pi\) |
0.911601 | − | 0.411076i | \(-0.134847\pi\) | |||||||
\(920\) | −0.429684 | − | 1.48354i | −0.0141663 | − | 0.0489108i | ||||
\(921\) | −7.30351 | + | 10.0524i | −0.240659 | + | 0.331239i | ||||
\(922\) | −79.1721 | − | 40.3402i | −2.60740 | − | 1.32853i | ||||
\(923\) | −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 | ||||
\(927\) | −4.48698 | + | 0.710668i | −0.147372 | + | 0.0233414i | ||||
\(928\) | 5.38903 | + | 0.853538i | 0.176904 | + | 0.0280188i | ||||
\(929\) | 48.7643 | + | 15.8445i | 1.59990 | + | 0.519840i | 0.967084 | − | 0.254458i | \(-0.0818971\pi\) |
0.632820 | + | 0.774299i | \(0.281897\pi\) | |||||||
\(930\) | 18.0872 | − | 23.2784i | 0.593104 | − | 0.763328i | ||||
\(931\) | 0.816449 | + | 1.12375i | 0.0267580 | + | 0.0368293i | ||||
\(932\) | −13.1146 | − | 82.8026i | −0.429585 | − | 2.71229i | ||||
\(933\) | −6.32012 | + | 12.4039i | −0.206911 | + | 0.406086i | ||||
\(934\) | −36.0504 | −1.17960 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 34.6194 | 1.13157 | ||||||||
\(937\) | 1.39850 | − | 2.74472i | 0.0456871 | − | 0.0896660i | −0.867034 | − | 0.498248i | \(-0.833977\pi\) |
0.912721 | + | 0.408582i | \(0.133977\pi\) | |||||||
\(938\) | −4.09190 | − | 25.8352i | −0.133605 | − | 0.843551i | ||||
\(939\) | 4.92741 | + | 6.78200i | 0.160800 | + | 0.221322i | ||||
\(940\) | −1.15323 | − | 9.18955i | −0.0376142 | − | 0.299730i | ||||
\(941\) | 27.0435 | + | 8.78695i | 0.881592 | + | 0.286447i | 0.714618 | − | 0.699515i | \(-0.246601\pi\) |
0.166974 | + | 0.985961i | \(0.446601\pi\) | |||||||
\(942\) | −1.95627 | − | 0.309842i | −0.0637387 | − | 0.0100952i | ||||
\(943\) | 0.504232 | − | 0.0798625i | 0.0164200 | − | 0.00260068i | ||||
\(944\) | 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 | \(0.866195\pi\) | |||||||
\(948\) | −9.06339 | − | 4.61803i | −0.294365 | − | 0.149987i | ||||
\(949\) | 2.92449 | − | 4.02522i | 0.0949330 | − | 0.130664i | ||||
\(950\) | −33.3166 | − | 37.9158i | −1.08093 | − | 1.23015i | ||||
\(951\) | −5.45156 | + | 16.7782i | −0.176779 | + | 0.544069i | ||||
\(952\) | −10.1323 | + | 5.16268i | −0.328391 | + | 0.167323i | ||||
\(953\) | 2.99349 | − | 18.9002i | 0.0969688 | − | 0.612237i | −0.890568 | − | 0.454850i | \(-0.849693\pi\) |
0.987537 | − | 0.157387i | \(-0.0503070\pi\) | |||||||
\(954\) | 21.4385 | + | 15.5760i | 0.694097 | + | 0.504291i | ||||
\(955\) | 14.4660 | + | 0.466527i | 0.468110 | + | 0.0150965i | ||||
\(956\) | − | 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 | ||||
\(960\) | −2.24876 | + | 11.7360i | −0.0725786 | + | 0.378777i | ||||
\(961\) | −41.3641 | + | 30.0528i | −1.33433 | + | 0.969445i | ||||
\(962\) | −23.5692 | − | 46.2572i | −0.759902 | − | 1.49139i | ||||
\(963\) | −4.98921 | − | 9.79187i | −0.160775 | − | 0.315539i | ||||
\(964\) | 33.7508 | − | 24.5214i | 1.08704 | − | 0.789781i | ||||
\(965\) | −0.423598 | + | 2.21070i | −0.0136361 | + | 0.0711648i | ||||
\(966\) | −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 | ||||||||
\(970\) | 78.4152 | + | 2.52888i | 2.51776 | + | 0.0811974i | ||||
\(971\) | 2.82019 | + | 2.04898i | 0.0905040 | + | 0.0657550i | 0.632117 | − | 0.774873i | \(-0.282186\pi\) |
−0.541613 | + | 0.840628i | \(0.682186\pi\) | |||||||
\(972\) | −8.36920 | + | 52.8411i | −0.268442 | + | 1.69488i | ||||
\(973\) | −9.93851 | + | 5.06392i | −0.318614 | + | 0.162342i | ||||
\(974\) | 29.2384 | − | 89.9865i | 0.936858 | − | 2.88335i | ||||
\(975\) | −8.38113 | − | 0.541143i | −0.268411 | − | 0.0173304i | ||||
\(976\) | 19.6619 | − | 27.0623i | 0.629363 | − | 0.866244i | ||||
\(977\) | −23.0204 | − | 11.7295i | −0.736487 | − | 0.375259i | 0.0451603 | − | 0.998980i | \(-0.485620\pi\) |
−0.781647 | + | 0.623721i | \(0.785620\pi\) | |||||||
\(978\) | −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 | ||||
\(982\) | 45.1728 | − | 7.15466i | 1.44152 | − | 0.228315i | ||||
\(983\) | −30.8418 | − | 4.88486i | −0.983701 | − | 0.155803i | −0.356192 | − | 0.934413i | \(-0.615925\pi\) |
−0.627508 | + | 0.778610i | \(0.715925\pi\) | |||||||
\(984\) | 9.14609 | + | 2.97175i | 0.291567 | + | 0.0947358i | ||||
\(985\) | 6.82873 | + | 54.4150i | 0.217581 | + | 1.73380i | ||||
\(986\) | 9.37055 | + | 12.8974i | 0.298419 | + | 0.410738i | ||||
\(987\) | −0.255359 | − | 1.61227i | −0.00812816 | − | 0.0513192i | ||||
\(988\) | 20.7302 | − | 40.6853i | 0.659515 | − | 1.29437i | ||||
\(989\) | 0.820573 | 0.0260927 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.5868 | −0.622196 | −0.311098 | − | 0.950378i | \(-0.600697\pi\) | ||||
−0.311098 | + | 0.950378i | \(0.600697\pi\) | |||||||
\(992\) | 3.23462 | − | 6.34829i | 0.102699 | − | 0.201558i | ||||
\(993\) | −0.204465 | − | 1.29094i | −0.00648850 | − | 0.0409667i | ||||
\(994\) | −4.67359 | − | 6.43265i | −0.148237 | − | 0.204031i | ||||
\(995\) | −4.46681 | + | 5.74880i | −0.141607 | + | 0.182249i | ||||
\(996\) | −18.4741 | − | 6.00259i | −0.585373 | − | 0.190199i | ||||
\(997\) | 27.9653 | + | 4.42928i | 0.885671 | + | 0.140277i | 0.582665 | − | 0.812712i | \(-0.302010\pi\) |
0.303006 | + | 0.952989i | \(0.402010\pi\) | |||||||
\(998\) | −12.5892 | + | 1.99393i | −0.398503 | + | 0.0631167i | ||||
\(999\) | 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 \(a_p\))