Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(3,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.w (of order \(84\), degree \(24\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 103.10 | ||
Character | \(\chi\) | \(=\) | 490.103 |
Dual form | 490.2.w.a.157.10 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.593820 | + | 0.804598i | −0.419894 | + | 0.568937i | ||||
\(3\) | 1.31303 | − | 0.248439i | 0.758079 | − | 0.143436i | 0.207518 | − | 0.978231i | \(-0.433461\pi\) |
0.550561 | + | 0.834795i | \(0.314414\pi\) | |||||||
\(4\) | −0.294755 | − | 0.955573i | −0.147378 | − | 0.477786i | ||||
\(5\) | −2.10989 | + | 0.740514i | −0.943572 | + | 0.331168i | ||||
\(6\) | −0.579811 | + | 1.20399i | −0.236707 | + | 0.491527i | ||||
\(7\) | −2.62184 | + | 0.354875i | −0.990964 | + | 0.134130i | ||||
\(8\) | 0.943883 | + | 0.330279i | 0.333713 | + | 0.116771i | ||||
\(9\) | −1.13029 | + | 0.443607i | −0.376764 | + | 0.147869i | ||||
\(10\) | 0.657080 | − | 2.13735i | 0.207787 | − | 0.675888i | ||||
\(11\) | 1.32469 | − | 3.37526i | 0.399409 | − | 1.01768i | −0.579788 | − | 0.814767i | \(-0.696865\pi\) |
0.979197 | − | 0.202911i | \(-0.0650402\pi\) | |||||||
\(12\) | −0.624424 | − | 1.18147i | −0.180256 | − | 0.341061i | ||||
\(13\) | −2.56956 | − | 0.289519i | −0.712666 | − | 0.0802982i | −0.251815 | − | 0.967775i | \(-0.581027\pi\) |
−0.460852 | + | 0.887477i | \(0.652456\pi\) | |||||||
\(14\) | 1.27137 | − | 2.32026i | 0.339789 | − | 0.620116i | ||||
\(15\) | −2.58638 | + | 1.49650i | −0.667801 | + | 0.386394i | ||||
\(16\) | −0.826239 | + | 0.563320i | −0.206560 | + | 0.140830i | ||||
\(17\) | −2.91331 | − | 0.109009i | −0.706583 | − | 0.0264385i | −0.318315 | − | 0.947985i | \(-0.603117\pi\) |
−0.388268 | + | 0.921547i | \(0.626926\pi\) | |||||||
\(18\) | 0.314265 | − | 1.17285i | 0.0740729 | − | 0.276444i | ||||
\(19\) | 2.53406 | − | 4.38913i | 0.581354 | − | 1.00694i | −0.413965 | − | 0.910293i | \(-0.635856\pi\) |
0.995319 | − | 0.0966422i | \(-0.0308103\pi\) | |||||||
\(20\) | 1.32952 | + | 1.79788i | 0.297289 | + | 0.402019i | ||||
\(21\) | −3.35440 | + | 1.11733i | −0.731990 | + | 0.243821i | ||||
\(22\) | 1.92910 | + | 3.07014i | 0.411285 | + | 0.654556i | ||||
\(23\) | −0.326419 | − | 8.72372i | −0.0680630 | − | 1.81902i | −0.448027 | − | 0.894020i | \(-0.647873\pi\) |
0.379964 | − | 0.925001i | \(-0.375937\pi\) | |||||||
\(24\) | 1.32140 | + | 0.199169i | 0.269730 | + | 0.0406553i | ||||
\(25\) | 3.90328 | − | 3.12481i | 0.780656 | − | 0.624962i | ||||
\(26\) | 1.75880 | − | 1.89554i | 0.344929 | − | 0.371745i | ||||
\(27\) | −4.76840 | + | 2.99619i | −0.917680 | + | 0.576616i | ||||
\(28\) | 1.11191 | + | 2.40076i | 0.210131 | + | 0.453701i | ||||
\(29\) | −4.11061 | + | 0.938219i | −0.763320 | + | 0.174223i | −0.586421 | − | 0.810006i | \(-0.699464\pi\) |
−0.176899 | + | 0.984229i | \(0.556607\pi\) | |||||||
\(30\) | 0.331766 | − | 2.96965i | 0.0605720 | − | 0.542181i | ||||
\(31\) | −7.76502 | + | 4.48314i | −1.39464 | + | 0.805195i | −0.993824 | − | 0.110964i | \(-0.964606\pi\) |
−0.400815 | + | 0.916159i | \(0.631273\pi\) | |||||||
\(32\) | 0.0373912 | − | 0.999301i | 0.00660989 | − | 0.176653i | ||||
\(33\) | 0.900815 | − | 4.76092i | 0.156812 | − | 0.828771i | ||||
\(34\) | 1.81769 | − | 2.27932i | 0.311732 | − | 0.390899i | ||||
\(35\) | 5.26901 | − | 2.69026i | 0.890626 | − | 0.454737i | ||||
\(36\) | 0.757058 | + | 0.949320i | 0.126176 | + | 0.158220i | ||||
\(37\) | −7.92532 | + | 4.18866i | −1.30292 | + | 0.688611i | −0.967359 | − | 0.253409i | \(-0.918448\pi\) |
−0.335556 | + | 0.942020i | \(0.608924\pi\) | |||||||
\(38\) | 2.02670 | + | 4.64526i | 0.328775 | + | 0.753560i | ||||
\(39\) | −3.44584 | + | 0.258230i | −0.551775 | + | 0.0413498i | ||||
\(40\) | −2.23607 | + | 0.00210624i | −0.353553 | + | 0.000333025i | ||||
\(41\) | 2.60917 | + | 5.41799i | 0.407483 | + | 0.846148i | 0.999200 | + | 0.0400014i | \(0.0127362\pi\) |
−0.591716 | + | 0.806146i | \(0.701549\pi\) | |||||||
\(42\) | 1.09291 | − | 3.36243i | 0.168639 | − | 0.518835i | ||||
\(43\) | 2.64003 | + | 7.54478i | 0.402601 | + | 1.15057i | 0.949608 | + | 0.313440i | \(0.101481\pi\) |
−0.547007 | + | 0.837128i | \(0.684233\pi\) | |||||||
\(44\) | −3.61576 | − | 0.270964i | −0.545097 | − | 0.0408494i | ||||
\(45\) | 2.05629 | − | 1.77296i | 0.306534 | − | 0.264297i | ||||
\(46\) | 7.21292 | + | 4.91769i | 1.06349 | + | 0.725073i | ||||
\(47\) | −0.842452 | − | 0.621758i | −0.122884 | − | 0.0906927i | 0.530644 | − | 0.847595i | \(-0.321950\pi\) |
−0.653528 | + | 0.756902i | \(0.726712\pi\) | |||||||
\(48\) | −0.944927 | + | 0.944927i | −0.136388 | + | 0.136388i | ||||
\(49\) | 6.74813 | − | 1.86085i | 0.964018 | − | 0.265836i | ||||
\(50\) | 0.196368 | + | 4.99614i | 0.0277707 | + | 0.706561i | ||||
\(51\) | −3.85236 | + | 0.580649i | −0.539438 | + | 0.0813072i | ||||
\(52\) | 0.480733 | + | 2.54073i | 0.0666657 | + | 0.352337i | ||||
\(53\) | −2.42579 | − | 1.28207i | −0.333207 | − | 0.176105i | 0.292294 | − | 0.956329i | \(-0.405582\pi\) |
−0.625501 | + | 0.780223i | \(0.715105\pi\) | |||||||
\(54\) | 0.420849 | − | 5.61584i | 0.0572703 | − | 0.764219i | ||||
\(55\) | −0.295527 | + | 8.10238i | −0.0398489 | + | 1.09252i | ||||
\(56\) | −2.59192 | − | 0.530980i | −0.346360 | − | 0.0709552i | ||||
\(57\) | 2.23688 | − | 6.39262i | 0.296281 | − | 0.846724i | ||||
\(58\) | 1.68607 | − | 3.86452i | 0.221392 | − | 0.507436i | ||||
\(59\) | −0.214298 | − | 2.85961i | −0.0278992 | − | 0.372289i | −0.993626 | − | 0.112728i | \(-0.964041\pi\) |
0.965727 | − | 0.259561i | \(-0.0835779\pi\) | |||||||
\(60\) | 2.19236 | + | 2.03037i | 0.283033 | + | 0.262120i | ||||
\(61\) | 1.41056 | − | 4.57293i | 0.180604 | − | 0.585504i | −0.819322 | − | 0.573334i | \(-0.805650\pi\) |
0.999926 | − | 0.0121703i | \(-0.00387404\pi\) | |||||||
\(62\) | 1.00390 | − | 8.90990i | 0.127496 | − | 1.13156i | ||||
\(63\) | 2.80602 | − | 1.56418i | 0.353526 | − | 0.197068i | ||||
\(64\) | 0.781831 | + | 0.623490i | 0.0977289 | + | 0.0779362i | ||||
\(65\) | 5.63587 | − | 1.29194i | 0.699044 | − | 0.160245i | ||||
\(66\) | 3.29571 | + | 3.55193i | 0.405673 | + | 0.437212i | ||||
\(67\) | 1.32105 | + | 0.353975i | 0.161392 | + | 0.0432449i | 0.338610 | − | 0.940927i | \(-0.390043\pi\) |
−0.177218 | + | 0.984172i | \(0.556710\pi\) | |||||||
\(68\) | 0.754549 | + | 2.81602i | 0.0915025 | + | 0.341492i | ||||
\(69\) | −2.59591 | − | 11.3734i | −0.312511 | − | 1.36920i | ||||
\(70\) | −0.964270 | + | 5.83697i | −0.115252 | + | 0.697651i | ||||
\(71\) | 3.04471 | − | 13.3397i | 0.361340 | − | 1.58314i | −0.388456 | − | 0.921467i | \(-0.626992\pi\) |
0.749797 | − | 0.661668i | \(-0.230151\pi\) | |||||||
\(72\) | −1.21338 | + | 0.0454014i | −0.142998 | + | 0.00535060i | ||||
\(73\) | −5.79727 | + | 4.27858i | −0.678519 | + | 0.500770i | −0.877711 | − | 0.479190i | \(-0.840930\pi\) |
0.199192 | + | 0.979961i | \(0.436168\pi\) | |||||||
\(74\) | 1.33603 | − | 8.86401i | 0.155311 | − | 1.03042i | ||||
\(75\) | 4.34880 | − | 5.07270i | 0.502156 | − | 0.585745i | ||||
\(76\) | −4.94106 | − | 1.12776i | −0.566778 | − | 0.129363i | ||||
\(77\) | −2.27534 | + | 9.31950i | −0.259299 | + | 1.06206i | ||||
\(78\) | 1.83844 | − | 2.92585i | 0.208162 | − | 0.331288i | ||||
\(79\) | 8.89360 | + | 5.13472i | 1.00061 | + | 0.577701i | 0.908428 | − | 0.418041i | \(-0.137283\pi\) |
0.0921799 | + | 0.995742i | \(0.470617\pi\) | |||||||
\(80\) | 1.32613 | − | 1.80039i | 0.148266 | − | 0.201289i | ||||
\(81\) | −2.84642 | + | 2.64109i | −0.316269 | + | 0.293455i | ||||
\(82\) | −5.90868 | − | 1.11798i | −0.652504 | − | 0.123460i | ||||
\(83\) | 0.313175 | + | 2.77950i | 0.0343754 | + | 0.305090i | 0.999121 | + | 0.0419077i | \(0.0133435\pi\) |
−0.964746 | + | 0.263182i | \(0.915228\pi\) | |||||||
\(84\) | 2.05642 | + | 2.87603i | 0.224373 | + | 0.313801i | ||||
\(85\) | 6.22750 | − | 1.92735i | 0.675467 | − | 0.209051i | ||||
\(86\) | −7.63822 | − | 2.35608i | −0.823650 | − | 0.254062i | ||||
\(87\) | −5.16426 | + | 2.25315i | −0.553667 | + | 0.241563i | ||||
\(88\) | 2.36513 | − | 2.74833i | 0.252124 | − | 0.292973i | ||||
\(89\) | 0.983880 | + | 2.50689i | 0.104291 | + | 0.265729i | 0.973489 | − | 0.228736i | \(-0.0734592\pi\) |
−0.869197 | + | 0.494465i | \(0.835364\pi\) | |||||||
\(90\) | 0.205449 | + | 2.70731i | 0.0216563 | + | 0.285375i | ||||
\(91\) | 6.83972 | − | 0.152796i | 0.716997 | − | 0.0160173i | ||||
\(92\) | −8.23994 | + | 2.88328i | −0.859073 | + | 0.300603i | ||||
\(93\) | −9.08193 | + | 7.81564i | −0.941753 | + | 0.810444i | ||||
\(94\) | 1.00053 | − | 0.308623i | 0.103197 | − | 0.0318320i | ||||
\(95\) | −2.09639 | + | 11.1371i | −0.215085 | + | 1.14264i | ||||
\(96\) | −0.199169 | − | 1.32140i | −0.0203276 | − | 0.134865i | ||||
\(97\) | 8.88051 | + | 8.88051i | 0.901679 | + | 0.901679i | 0.995581 | − | 0.0939020i | \(-0.0299340\pi\) |
−0.0939020 | + | 0.995581i | \(0.529934\pi\) | |||||||
\(98\) | −2.50994 | + | 6.53454i | −0.253542 | + | 0.660088i | ||||
\(99\) | 4.40267i | 0.442485i | ||||||||
\(100\) | −4.13649 | − | 2.80881i | −0.413649 | − | 0.280881i | ||||
\(101\) | 7.17213 | − | 10.5196i | 0.713653 | − | 1.04674i | −0.282513 | − | 0.959263i | \(-0.591168\pi\) |
0.996167 | − | 0.0874739i | \(-0.0278794\pi\) | |||||||
\(102\) | 1.82042 | − | 3.44440i | 0.180248 | − | 0.341046i | ||||
\(103\) | 7.77754 | + | 9.03767i | 0.766344 | + | 0.890508i | 0.996581 | − | 0.0826268i | \(-0.0263309\pi\) |
−0.230237 | + | 0.973135i | \(0.573950\pi\) | |||||||
\(104\) | −2.32974 | − | 1.12194i | −0.228450 | − | 0.110016i | ||||
\(105\) | 6.25002 | − | 4.84142i | 0.609939 | − | 0.472475i | ||||
\(106\) | 2.47203 | − | 1.19047i | 0.240105 | − | 0.115628i | ||||
\(107\) | −16.3854 | − | 7.14889i | −1.58404 | − | 0.691109i | −0.590760 | − | 0.806847i | \(-0.701172\pi\) |
−0.993280 | + | 0.115738i | \(0.963077\pi\) | |||||||
\(108\) | 4.26859 | + | 3.67342i | 0.410745 | + | 0.353475i | ||||
\(109\) | −6.11017 | − | 2.39806i | −0.585248 | − | 0.229693i | 0.0541965 | − | 0.998530i | \(-0.482740\pi\) |
−0.639444 | + | 0.768837i | \(0.720836\pi\) | |||||||
\(110\) | −6.34366 | − | 5.04914i | −0.604845 | − | 0.481416i | ||||
\(111\) | −9.36557 | + | 7.46880i | −0.888941 | + | 0.708907i | ||||
\(112\) | 1.96636 | − | 1.77015i | 0.185804 | − | 0.167263i | ||||
\(113\) | −0.202717 | + | 0.0228407i | −0.0190700 | + | 0.00214868i | −0.121494 | − | 0.992592i | \(-0.538769\pi\) |
0.102424 | + | 0.994741i | \(0.467340\pi\) | |||||||
\(114\) | 3.81519 | + | 5.59585i | 0.357325 | + | 0.524100i | ||||
\(115\) | 7.14875 | + | 18.1644i | 0.666624 | + | 1.69384i | ||||
\(116\) | 2.10816 | + | 3.65144i | 0.195738 | + | 0.339027i | ||||
\(117\) | 3.03278 | − | 0.812631i | 0.280381 | − | 0.0751277i | ||||
\(118\) | 2.42809 | + | 1.52567i | 0.223524 | + | 0.140449i | ||||
\(119\) | 7.67694 | − | 0.748058i | 0.703744 | − | 0.0685744i | ||||
\(120\) | −2.93550 | + | 0.558292i | −0.267974 | + | 0.0509648i | ||||
\(121\) | −1.57399 | − | 1.46045i | −0.143090 | − | 0.132768i | ||||
\(122\) | 2.84175 | + | 3.85044i | 0.257280 | + | 0.348602i | ||||
\(123\) | 4.77196 | + | 6.46577i | 0.430273 | + | 0.582999i | ||||
\(124\) | 6.57275 | + | 6.09862i | 0.590250 | + | 0.547672i | ||||
\(125\) | −5.92152 | + | 9.48344i | −0.529637 | + | 0.848224i | ||||
\(126\) | −0.407738 | + | 3.18656i | −0.0363242 | + | 0.283881i | ||||
\(127\) | 3.37945 | + | 2.12345i | 0.299878 | + | 0.188426i | 0.673563 | − | 0.739130i | \(-0.264763\pi\) |
−0.373685 | + | 0.927556i | \(0.621906\pi\) | |||||||
\(128\) | −0.965926 | + | 0.258819i | −0.0853766 | + | 0.0228766i | ||||
\(129\) | 5.34086 | + | 9.25065i | 0.470237 | + | 0.814474i | ||||
\(130\) | −2.30721 | + | 5.30179i | −0.202355 | + | 0.464998i | ||||
\(131\) | −6.93124 | − | 10.1663i | −0.605585 | − | 0.888230i | 0.393937 | − | 0.919137i | \(-0.371113\pi\) |
−0.999522 | + | 0.0309074i | \(0.990160\pi\) | |||||||
\(132\) | −4.81493 | + | 0.542512i | −0.419086 | + | 0.0472196i | ||||
\(133\) | −5.08633 | + | 12.4069i | −0.441041 | + | 1.07581i | ||||
\(134\) | −1.06927 | + | 0.852718i | −0.0923712 | + | 0.0736636i | ||||
\(135\) | 7.84209 | − | 9.85270i | 0.674940 | − | 0.847985i | ||||
\(136\) | −2.71383 | − | 1.06510i | −0.232709 | − | 0.0913314i | ||||
\(137\) | −12.1391 | − | 10.4465i | −1.03711 | − | 0.892507i | −0.0428078 | − | 0.999083i | \(-0.513630\pi\) |
−0.994305 | + | 0.106576i | \(0.966011\pi\) | |||||||
\(138\) | 10.6925 | + | 4.66511i | 0.910209 | + | 0.397120i | ||||
\(139\) | −4.55987 | + | 2.19592i | −0.386763 | + | 0.186255i | −0.617153 | − | 0.786843i | \(-0.711714\pi\) |
0.230390 | + | 0.973098i | \(0.426000\pi\) | |||||||
\(140\) | −4.12381 | − | 4.24196i | −0.348525 | − | 0.358511i | ||||
\(141\) | −1.26064 | − | 0.607090i | −0.106165 | − | 0.0511262i | ||||
\(142\) | 8.92511 | + | 10.3712i | 0.748979 | + | 0.870329i | ||||
\(143\) | −4.38107 | + | 8.28939i | −0.366363 | + | 0.693193i | ||||
\(144\) | 0.683998 | − | 1.00324i | 0.0569998 | − | 0.0836034i | ||||
\(145\) | 7.97816 | − | 5.02350i | 0.662550 | − | 0.417179i | ||||
\(146\) | − | 7.20518i | − | 0.596305i | ||||||
\(147\) | 8.39820 | − | 4.11986i | 0.692672 | − | 0.339800i | ||||
\(148\) | 6.33860 | + | 6.33860i | 0.521029 | + | 0.521029i | ||||
\(149\) | −1.39633 | − | 9.26406i | −0.114392 | − | 0.758941i | −0.970316 | − | 0.241840i | \(-0.922249\pi\) |
0.855924 | − | 0.517101i | \(-0.172989\pi\) | |||||||
\(150\) | 1.49907 | + | 6.51131i | 0.122399 | + | 0.531646i | ||||
\(151\) | 1.62453 | − | 0.501101i | 0.132202 | − | 0.0407790i | −0.227948 | − | 0.973673i | \(-0.573202\pi\) |
0.360150 | + | 0.932894i | \(0.382725\pi\) | |||||||
\(152\) | 3.84150 | − | 3.30588i | 0.311587 | − | 0.268142i | ||||
\(153\) | 3.34125 | − | 1.16915i | 0.270124 | − | 0.0945205i | ||||
\(154\) | −6.14730 | − | 7.36484i | −0.495364 | − | 0.593476i | ||||
\(155\) | 13.0635 | − | 15.2090i | 1.04929 | − | 1.22162i | ||||
\(156\) | 1.26243 | + | 3.21663i | 0.101076 | + | 0.257537i | ||||
\(157\) | −0.905279 | + | 1.05195i | −0.0722492 | + | 0.0839550i | −0.792933 | − | 0.609309i | \(-0.791447\pi\) |
0.720684 | + | 0.693264i | \(0.243828\pi\) | |||||||
\(158\) | −9.41258 | + | 4.10667i | −0.748825 | + | 0.326709i | ||||
\(159\) | −3.50365 | − | 1.08073i | −0.277857 | − | 0.0857076i | ||||
\(160\) | 0.661105 | + | 2.13610i | 0.0522649 | + | 0.168874i | ||||
\(161\) | 3.95165 | + | 22.7564i | 0.311433 | + | 1.79346i | ||||
\(162\) | −0.434755 | − | 3.85856i | −0.0341576 | − | 0.303157i | ||||
\(163\) | −2.83517 | − | 0.536443i | −0.222068 | − | 0.0420175i | 0.0736869 | − | 0.997281i | \(-0.476523\pi\) |
−0.295755 | + | 0.955264i | \(0.595571\pi\) | |||||||
\(164\) | 4.40822 | − | 4.09023i | 0.344224 | − | 0.319393i | ||||
\(165\) | 1.62491 | + | 10.7121i | 0.126499 | + | 0.833936i | ||||
\(166\) | −2.42235 | − | 1.39855i | −0.188011 | − | 0.108548i | ||||
\(167\) | −12.5132 | + | 19.9147i | −0.968302 | + | 1.54104i | −0.133099 | + | 0.991103i | \(0.542493\pi\) |
−0.835203 | + | 0.549942i | \(0.814650\pi\) | |||||||
\(168\) | −3.53519 | − | 0.0532587i | −0.272746 | − | 0.00410900i | ||||
\(169\) | −6.15527 | − | 1.40490i | −0.473482 | − | 0.108069i | ||||
\(170\) | −2.14727 | + | 6.15513i | −0.164688 | + | 0.472077i | ||||
\(171\) | −0.917184 | + | 6.08512i | −0.0701389 | + | 0.465341i | ||||
\(172\) | 6.43142 | − | 4.74661i | 0.490391 | − | 0.361925i | ||||
\(173\) | 5.82228 | − | 0.217854i | 0.442659 | − | 0.0165631i | 0.184867 | − | 0.982764i | \(-0.440815\pi\) |
0.257792 | + | 0.966200i | \(0.417005\pi\) | |||||||
\(174\) | 1.25377 | − | 5.49312i | 0.0950479 | − | 0.416432i | ||||
\(175\) | −9.12487 | + | 9.57793i | −0.689775 | + | 0.724024i | ||||
\(176\) | 0.806839 | + | 3.53499i | 0.0608178 | + | 0.266460i | ||||
\(177\) | −0.991817 | − | 3.70151i | −0.0745496 | − | 0.278223i | ||||
\(178\) | −2.60128 | − | 0.697012i | −0.194974 | − | 0.0522432i | ||||
\(179\) | 15.3615 | + | 16.5557i | 1.14817 | + | 1.23743i | 0.967220 | + | 0.253939i | \(0.0817262\pi\) |
0.180948 | + | 0.983493i | \(0.442083\pi\) | |||||||
\(180\) | −2.30029 | − | 1.44235i | −0.171454 | − | 0.107506i | ||||
\(181\) | −11.0682 | − | 8.82662i | −0.822695 | − | 0.656077i | 0.118870 | − | 0.992910i | \(-0.462073\pi\) |
−0.941565 | + | 0.336832i | \(0.890644\pi\) | |||||||
\(182\) | −3.93862 | + | 5.59395i | −0.291950 | + | 0.414651i | ||||
\(183\) | 0.716019 | − | 6.35485i | 0.0529297 | − | 0.469764i | ||||
\(184\) | 2.57316 | − | 8.34198i | 0.189696 | − | 0.614979i | ||||
\(185\) | 13.6198 | − | 14.7064i | 1.00135 | − | 1.08124i | ||||
\(186\) | −0.895408 | − | 11.9484i | −0.0656545 | − | 0.876098i | ||||
\(187\) | −4.22717 | + | 9.68878i | −0.309122 | + | 0.708514i | ||||
\(188\) | −0.345818 | + | 0.988291i | −0.0252214 | + | 0.0720785i | ||||
\(189\) | 11.4387 | − | 9.54772i | 0.832046 | − | 0.694494i | ||||
\(190\) | −7.71600 | − | 8.30018i | −0.559778 | − | 0.602158i | ||||
\(191\) | −0.533362 | + | 7.11722i | −0.0385927 | + | 0.514984i | 0.944090 | + | 0.329688i | \(0.106944\pi\) |
−0.982683 | + | 0.185296i | \(0.940676\pi\) | |||||||
\(192\) | 1.18147 | + | 0.624424i | 0.0852651 | + | 0.0450639i | ||||
\(193\) | −3.89493 | − | 20.5852i | −0.280364 | − | 1.48176i | −0.785578 | − | 0.618763i | \(-0.787634\pi\) |
0.505214 | − | 0.862994i | \(-0.331413\pi\) | |||||||
\(194\) | −12.4187 | + | 1.87181i | −0.891608 | + | 0.134388i | ||||
\(195\) | 7.07911 | − | 3.09653i | 0.506946 | − | 0.221747i | ||||
\(196\) | −3.76723 | − | 5.89983i | −0.269088 | − | 0.421417i | ||||
\(197\) | 12.0686 | − | 12.0686i | 0.859852 | − | 0.859852i | −0.131468 | − | 0.991320i | \(-0.541969\pi\) |
0.991320 | + | 0.131468i | \(0.0419692\pi\) | |||||||
\(198\) | −3.54238 | − | 2.61439i | −0.251746 | − | 0.185797i | ||||
\(199\) | −15.9982 | − | 10.9074i | −1.13408 | − | 0.773204i | −0.157324 | − | 0.987547i | \(-0.550287\pi\) |
−0.976759 | + | 0.214343i | \(0.931239\pi\) | |||||||
\(200\) | 4.71630 | − | 1.66028i | 0.333493 | − | 0.117400i | ||||
\(201\) | 1.82252 | + | 0.136579i | 0.128551 | + | 0.00963355i | ||||
\(202\) | 4.20508 | + | 12.0174i | 0.295868 | + | 0.845542i | ||||
\(203\) | 10.4444 | − | 3.91861i | 0.733054 | − | 0.275033i | ||||
\(204\) | 1.69035 | + | 3.51006i | 0.118348 | + | 0.245753i | ||||
\(205\) | −9.51715 | − | 9.49924i | −0.664707 | − | 0.663456i | ||||
\(206\) | −11.8901 | + | 0.891044i | −0.828426 | + | 0.0620819i | ||||
\(207\) | 4.23885 | + | 9.71555i | 0.294620 | + | 0.675277i | ||||
\(208\) | 2.28616 | − | 1.20827i | 0.158517 | − | 0.0837785i | ||||
\(209\) | −11.4576 | − | 14.3674i | −0.792538 | − | 0.993811i | ||||
\(210\) | 0.184013 | + | 7.90368i | 0.0126981 | + | 0.545406i | ||||
\(211\) | 15.5819 | − | 19.5390i | 1.07270 | − | 1.34512i | 0.137701 | − | 0.990474i | \(-0.456029\pi\) |
0.934999 | − | 0.354649i | \(-0.115400\pi\) | |||||||
\(212\) | −0.510094 | + | 2.69591i | −0.0350334 | + | 0.185156i | ||||
\(213\) | 0.683687 | − | 18.2719i | 0.0468455 | − | 1.25197i | ||||
\(214\) | 15.4820 | − | 8.93853i | 1.05833 | − | 0.611025i | ||||
\(215\) | −11.1572 | − | 13.9637i | −0.760915 | − | 0.952315i | ||||
\(216\) | −5.49039 | + | 1.25315i | −0.373574 | + | 0.0852658i | ||||
\(217\) | 18.7677 | − | 14.5097i | 1.27404 | − | 0.984982i | ||||
\(218\) | 5.55782 | − | 3.49221i | 0.376423 | − | 0.236522i | ||||
\(219\) | −6.54903 | + | 7.05818i | −0.442543 | + | 0.476948i | ||||
\(220\) | 7.82952 | − | 2.10582i | 0.527866 | − | 0.141974i | ||||
\(221\) | 7.45436 | + | 1.12356i | 0.501435 | + | 0.0755791i | ||||
\(222\) | −0.447910 | − | 11.9706i | −0.0300617 | − | 0.803417i | ||||
\(223\) | 5.15894 | + | 8.21041i | 0.345468 | + | 0.549810i | 0.973589 | − | 0.228306i | \(-0.0733186\pi\) |
−0.628121 | + | 0.778116i | \(0.716176\pi\) | |||||||
\(224\) | 0.256593 | + | 2.63328i | 0.0171443 | + | 0.175943i | ||||
\(225\) | −3.02566 | + | 5.26346i | −0.201710 | + | 0.350898i | ||||
\(226\) | 0.102000 | − | 0.176669i | 0.00678493 | − | 0.0117518i | ||||
\(227\) | −6.52999 | + | 24.3703i | −0.433411 | + | 1.61751i | 0.311430 | + | 0.950269i | \(0.399192\pi\) |
−0.744841 | + | 0.667242i | \(0.767475\pi\) | |||||||
\(228\) | −6.76795 | − | 0.253239i | −0.448218 | − | 0.0167711i | ||||
\(229\) | −12.5716 | + | 8.57119i | −0.830756 | + | 0.566400i | −0.902335 | − | 0.431035i | \(-0.858149\pi\) |
0.0715788 | + | 0.997435i | \(0.477196\pi\) | |||||||
\(230\) | −18.8601 | − | 5.03451i | −1.24360 | − | 0.331966i | ||||
\(231\) | −0.672266 | + | 12.8021i | −0.0442318 | + | 0.842315i | ||||
\(232\) | −4.18981 | − | 0.472078i | −0.275074 | − | 0.0309934i | ||||
\(233\) | −11.7535 | − | 22.2387i | −0.769998 | − | 1.45691i | −0.886013 | − | 0.463660i | \(-0.846536\pi\) |
0.116015 | − | 0.993248i | \(-0.462988\pi\) | |||||||
\(234\) | −1.14708 | + | 2.92272i | −0.0749873 | + | 0.191064i | ||||
\(235\) | 2.23790 | + | 0.687994i | 0.145985 | + | 0.0448798i | ||||
\(236\) | −2.66940 | + | 1.04766i | −0.173763 | + | 0.0681969i | ||||
\(237\) | 12.9532 | + | 4.53253i | 0.841403 | + | 0.294420i | ||||
\(238\) | −3.95684 | + | 6.62106i | −0.256484 | + | 0.429180i | ||||
\(239\) | 7.71077 | − | 16.0116i | 0.498768 | − | 1.03570i | −0.487891 | − | 0.872905i | \(-0.662234\pi\) |
0.986659 | − | 0.162799i | \(-0.0520521\pi\) | |||||||
\(240\) | 1.29396 | − | 2.69342i | 0.0835248 | − | 0.173860i | ||||
\(241\) | −3.30591 | − | 10.7175i | −0.212952 | − | 0.690375i | −0.997523 | − | 0.0703359i | \(-0.977593\pi\) |
0.784571 | − | 0.620039i | \(-0.212883\pi\) | |||||||
\(242\) | 2.10974 | − | 0.399183i | 0.135619 | − | 0.0256605i | ||||
\(243\) | 6.95116 | − | 9.41849i | 0.445917 | − | 0.604197i | ||||
\(244\) | −4.78554 | −0.306363 | ||||||||
\(245\) | −12.8598 | + | 8.92328i | −0.821584 | + | 0.570087i | ||||
\(246\) | −8.03603 | −0.512358 | ||||||||
\(247\) | −7.78216 | + | 10.5444i | −0.495167 | + | 0.670927i | ||||
\(248\) | −8.80996 | + | 1.66693i | −0.559433 | + | 0.105850i | ||||
\(249\) | 1.10175 | + | 3.57177i | 0.0698203 | + | 0.226352i | ||||
\(250\) | −4.11403 | − | 10.3959i | −0.260194 | − | 0.657495i | ||||
\(251\) | 5.17273 | − | 10.7413i | 0.326500 | − | 0.677984i | −0.671513 | − | 0.740993i | \(-0.734355\pi\) |
0.998013 | + | 0.0630084i | \(0.0200695\pi\) | |||||||
\(252\) | −2.32178 | − | 2.22031i | −0.146258 | − | 0.139866i | ||||
\(253\) | −29.8772 | − | 10.4545i | −1.87836 | − | 0.657268i | ||||
\(254\) | −3.71531 | + | 1.45815i | −0.233119 | + | 0.0914926i | ||||
\(255\) | 7.69807 | − | 4.07783i | 0.482072 | − | 0.255364i | ||||
\(256\) | 0.365341 | − | 0.930874i | 0.0228338 | − | 0.0581796i | ||||
\(257\) | −9.45146 | − | 17.8830i | −0.589566 | − | 1.11551i | −0.980762 | − | 0.195206i | \(-0.937462\pi\) |
0.391196 | − | 0.920307i | \(-0.372061\pi\) | |||||||
\(258\) | −10.6146 | − | 1.19597i | −0.660834 | − | 0.0744581i | ||||
\(259\) | 19.2925 | − | 13.7945i | 1.19878 | − | 0.857148i | ||||
\(260\) | −2.89574 | − | 5.00468i | −0.179586 | − | 0.310377i | ||||
\(261\) | 4.22998 | − | 2.88395i | 0.261829 | − | 0.178512i | ||||
\(262\) | 12.2957 | + | 0.460071i | 0.759628 | + | 0.0284233i | ||||
\(263\) | −2.66495 | + | 9.94573i | −0.164328 | + | 0.613280i | 0.833797 | + | 0.552071i | \(0.186162\pi\) |
−0.998125 | + | 0.0612091i | \(0.980504\pi\) | |||||||
\(264\) | 2.42270 | − | 4.19624i | 0.149107 | − | 0.258260i | ||||
\(265\) | 6.06753 | + | 0.908689i | 0.372725 | + | 0.0558203i | ||||
\(266\) | −6.96219 | − | 11.4599i | −0.426879 | − | 0.702652i | ||||
\(267\) | 1.91467 | + | 3.04719i | 0.117176 | + | 0.186485i | ||||
\(268\) | −0.0511382 | − | 1.36670i | −0.00312376 | − | 0.0834843i | ||||
\(269\) | −2.33834 | − | 0.352449i | −0.142571 | − | 0.0214892i | 0.0773688 | − | 0.997003i | \(-0.475348\pi\) |
−0.219940 | + | 0.975513i | \(0.570586\pi\) | |||||||
\(270\) | 3.27067 | + | 12.1605i | 0.199046 | + | 0.740062i | ||||
\(271\) | −16.8210 | + | 18.1287i | −1.02180 | + | 1.10124i | −0.0269780 | + | 0.999636i | \(0.508588\pi\) |
−0.994825 | + | 0.101605i | \(0.967602\pi\) | |||||||
\(272\) | 2.46850 | − | 1.55106i | 0.149675 | − | 0.0940469i | ||||
\(273\) | 8.94280 | − | 1.89988i | 0.541243 | − | 0.114986i | ||||
\(274\) | 15.6137 | − | 3.56372i | 0.943258 | − | 0.215292i | ||||
\(275\) | −5.37639 | − | 17.3140i | −0.324209 | − | 1.04407i | ||||
\(276\) | −10.1030 | + | 5.83296i | −0.608128 | + | 0.351103i | ||||
\(277\) | 0.282434 | − | 7.54821i | 0.0169698 | − | 0.453528i | −0.964747 | − | 0.263180i | \(-0.915229\pi\) |
0.981717 | − | 0.190348i | \(-0.0609617\pi\) | |||||||
\(278\) | 0.940912 | − | 4.97284i | 0.0564322 | − | 0.298251i | ||||
\(279\) | 6.78799 | − | 8.51187i | 0.406386 | − | 0.509592i | ||||
\(280\) | 5.86187 | − | 0.799046i | 0.350314 | − | 0.0477521i | ||||
\(281\) | −6.48235 | − | 8.12860i | −0.386704 | − | 0.484912i | 0.549935 | − | 0.835208i | \(-0.314653\pi\) |
−0.936639 | + | 0.350296i | \(0.886081\pi\) | |||||||
\(282\) | 1.23705 | − | 0.653802i | 0.0736655 | − | 0.0389333i | ||||
\(283\) | 0.732868 | + | 1.67975i | 0.0435645 | + | 0.0998508i | 0.936984 | − | 0.349373i | \(-0.113605\pi\) |
−0.893419 | + | 0.449224i | \(0.851701\pi\) | |||||||
\(284\) | −13.6445 | + | 1.02252i | −0.809654 | + | 0.0606752i | ||||
\(285\) | 0.0142649 | + | 15.1442i | 0.000844978 | + | 0.897064i | ||||
\(286\) | −4.06806 | − | 8.44740i | −0.240549 | − | 0.499505i | ||||
\(287\) | −8.76353 | − | 13.2792i | −0.517295 | − | 0.783846i | ||||
\(288\) | 0.401034 | + | 1.14609i | 0.0236311 | + | 0.0675339i | ||||
\(289\) | −8.47695 | − | 0.635259i | −0.498644 | − | 0.0373682i | ||||
\(290\) | −0.695697 | + | 9.40227i | −0.0408527 | + | 0.552120i | ||||
\(291\) | 13.8667 | + | 9.45413i | 0.812878 | + | 0.554211i | ||||
\(292\) | 5.79727 | + | 4.27858i | 0.339260 | + | 0.250385i | ||||
\(293\) | −1.46517 | + | 1.46517i | −0.0855964 | + | 0.0855964i | −0.748609 | − | 0.663012i | \(-0.769278\pi\) |
0.663012 | + | 0.748609i | \(0.269278\pi\) | |||||||
\(294\) | −1.67219 | + | 9.20362i | −0.0975242 | + | 0.536766i | ||||
\(295\) | 2.56972 | + | 5.87477i | 0.149615 | + | 0.342042i | ||||
\(296\) | −8.86401 | + | 1.33603i | −0.515210 | + | 0.0776554i | ||||
\(297\) | 3.79624 | + | 20.0636i | 0.220280 | + | 1.16421i | ||||
\(298\) | 8.28301 | + | 4.37770i | 0.479822 | + | 0.253593i | ||||
\(299\) | −1.68694 | + | 22.5106i | −0.0975580 | + | 1.30182i | ||||
\(300\) | −6.12916 | − | 2.66039i | −0.353867 | − | 0.153598i | ||||
\(301\) | −9.59921 | − | 18.8444i | −0.553289 | − | 1.08617i | ||||
\(302\) | −0.561494 | + | 1.60466i | −0.0323103 | + | 0.0923376i | ||||
\(303\) | 6.80376 | − | 15.5944i | 0.390866 | − | 0.895873i | ||||
\(304\) | 0.378742 | + | 5.05396i | 0.0217223 | + | 0.289864i | ||||
\(305\) | 0.410188 | + | 10.6929i | 0.0234873 | + | 0.612276i | ||||
\(306\) | −1.04340 | + | 3.38263i | −0.0596474 | + | 0.193372i | ||||
\(307\) | 2.00117 | − | 17.7609i | 0.114213 | − | 1.01367i | −0.797636 | − | 0.603139i | \(-0.793916\pi\) |
0.911849 | − | 0.410527i | \(-0.134655\pi\) | |||||||
\(308\) | 9.57612 | − | 0.572718i | 0.545650 | − | 0.0326336i | ||||
\(309\) | 12.4575 | + | 9.93450i | 0.708681 | + | 0.565154i | ||||
\(310\) | 4.47978 | + | 19.5423i | 0.254434 | + | 1.10993i | ||||
\(311\) | 3.58266 | + | 3.86119i | 0.203154 | + | 0.218948i | 0.826408 | − | 0.563071i | \(-0.190380\pi\) |
−0.623254 | + | 0.782019i | \(0.714190\pi\) | |||||||
\(312\) | −3.33775 | − | 0.894349i | −0.188963 | − | 0.0506325i | ||||
\(313\) | −0.594820 | − | 2.21990i | −0.0336212 | − | 0.125476i | 0.947076 | − | 0.321011i | \(-0.104023\pi\) |
−0.980697 | + | 0.195534i | \(0.937356\pi\) | |||||||
\(314\) | −0.308826 | − | 1.35306i | −0.0174281 | − | 0.0763574i | ||||
\(315\) | −4.76210 | + | 5.37815i | −0.268314 | + | 0.303024i | ||||
\(316\) | 2.28517 | − | 10.0120i | 0.128551 | − | 0.563217i | ||||
\(317\) | 17.3187 | − | 0.648019i | 0.972713 | − | 0.0363964i | 0.453693 | − | 0.891158i | \(-0.350106\pi\) |
0.519021 | + | 0.854762i | \(0.326297\pi\) | |||||||
\(318\) | 2.95009 | − | 2.17727i | 0.165433 | − | 0.122095i | ||||
\(319\) | −2.27855 | + | 15.1172i | −0.127574 | + | 0.846401i | ||||
\(320\) | −2.11128 | − | 0.736538i | −0.118024 | − | 0.0411737i | ||||
\(321\) | −23.2907 | − | 5.31594i | −1.29996 | − | 0.296707i | ||||
\(322\) | −20.6563 | − | 10.3337i | −1.15113 | − | 0.575876i | ||||
\(323\) | −7.86098 | + | 12.5107i | −0.437397 | + | 0.696113i | ||||
\(324\) | 3.36276 | + | 1.94149i | 0.186820 | + | 0.107860i | ||||
\(325\) | −10.9344 | + | 6.89929i | −0.606530 | + | 0.382704i | ||||
\(326\) | 2.11520 | − | 1.96262i | 0.117150 | − | 0.108700i | ||||
\(327\) | −8.61861 | − | 1.63073i | −0.476610 | − | 0.0901796i | ||||
\(328\) | 0.673300 | + | 5.97570i | 0.0371768 | + | 0.329953i | ||||
\(329\) | 2.42942 | + | 1.33119i | 0.133938 | + | 0.0733907i | ||||
\(330\) | −9.58383 | − | 5.05366i | −0.527573 | − | 0.278195i | ||||
\(331\) | 27.7696 | + | 8.56580i | 1.52636 | + | 0.470819i | 0.940557 | − | 0.339636i | \(-0.110304\pi\) |
0.585801 | + | 0.810455i | \(0.300780\pi\) | |||||||
\(332\) | 2.56371 | − | 1.11853i | 0.140702 | − | 0.0613876i | ||||
\(333\) | 7.09981 | − | 8.25013i | 0.389067 | − | 0.452104i | ||||
\(334\) | −8.59270 | − | 21.8939i | −0.470172 | − | 1.19798i | ||||
\(335\) | −3.04940 | + | 0.231409i | −0.166606 | + | 0.0126432i | ||||
\(336\) | 2.14212 | − | 2.81278i | 0.116862 | − | 0.153450i | ||||
\(337\) | 12.3082 | − | 4.30681i | 0.670468 | − | 0.234607i | 0.0264877 | − | 0.999649i | \(-0.491568\pi\) |
0.643980 | + | 0.765042i | \(0.277282\pi\) | |||||||
\(338\) | 4.78550 | − | 4.11826i | 0.260297 | − | 0.224004i | ||||
\(339\) | −0.260499 | + | 0.0803534i | −0.0141484 | + | 0.00436420i | ||||
\(340\) | −3.67731 | − | 5.38273i | −0.199430 | − | 0.291920i | ||||
\(341\) | 4.84549 | + | 32.1477i | 0.262398 | + | 1.74090i | ||||
\(342\) | −4.35143 | − | 4.35143i | −0.235299 | − | 0.235299i | ||||
\(343\) | −17.0322 | + | 7.27360i | −0.919651 | + | 0.392738i | ||||
\(344\) | 7.99334i | 0.430972i | ||||||||
\(345\) | 13.8993 | + | 22.0744i | 0.748312 | + | 1.18844i | ||||
\(346\) | −3.28210 | + | 4.81396i | −0.176447 | + | 0.258800i | ||||
\(347\) | 11.9025 | − | 22.5207i | 0.638962 | − | 1.20897i | −0.325698 | − | 0.945474i | \(-0.605599\pi\) |
0.964659 | − | 0.263500i | \(-0.0848770\pi\) | |||||||
\(348\) | 3.67524 | + | 4.27070i | 0.197013 | + | 0.228934i | ||||
\(349\) | 28.8925 | + | 13.9139i | 1.54658 | + | 0.744794i | 0.995946 | − | 0.0899525i | \(-0.0286715\pi\) |
0.550635 | + | 0.834746i | \(0.314386\pi\) | |||||||
\(350\) | −2.28785 | − | 13.0294i | −0.122291 | − | 0.696452i | ||||
\(351\) | 13.1201 | − | 6.31832i | 0.700301 | − | 0.337247i | ||||
\(352\) | −3.32337 | − | 1.44997i | −0.177136 | − | 0.0772836i | ||||
\(353\) | −14.9870 | − | 12.8974i | −0.797679 | − | 0.686459i | 0.155843 | − | 0.987782i | \(-0.450191\pi\) |
−0.953522 | + | 0.301323i | \(0.902572\pi\) | |||||||
\(354\) | 3.56719 | + | 1.40002i | 0.189594 | + | 0.0744102i | ||||
\(355\) | 3.45426 | + | 30.4000i | 0.183333 | + | 1.61347i | ||||
\(356\) | 2.10551 | − | 1.67909i | 0.111592 | − | 0.0889914i | ||||
\(357\) | 9.89422 | − | 2.88948i | 0.523658 | − | 0.152927i | ||||
\(358\) | −22.4426 | + | 2.52868i | −1.18613 | + | 0.133645i | ||||
\(359\) | −1.43106 | − | 2.09898i | −0.0755286 | − | 0.110780i | 0.786616 | − | 0.617443i | \(-0.211831\pi\) |
−0.862144 | + | 0.506663i | \(0.830879\pi\) | |||||||
\(360\) | 2.52647 | − | 0.994315i | 0.133157 | − | 0.0524050i | ||||
\(361\) | −3.34296 | − | 5.79018i | −0.175945 | − | 0.304746i | ||||
\(362\) | 13.6744 | − | 3.66405i | 0.718711 | − | 0.192578i | ||||
\(363\) | −2.42952 | − | 1.52657i | −0.127517 | − | 0.0801242i | ||||
\(364\) | −2.16205 | − | 6.49081i | −0.113322 | − | 0.340211i | ||||
\(365\) | 9.06326 | − | 13.3203i | 0.474393 | − | 0.697216i | ||||
\(366\) | 4.68791 | + | 4.34974i | 0.245041 | + | 0.227365i | ||||
\(367\) | −7.04693 | − | 9.54825i | −0.367847 | − | 0.498415i | 0.581108 | − | 0.813826i | \(-0.302619\pi\) |
−0.948955 | + | 0.315412i | \(0.897857\pi\) | |||||||
\(368\) | 5.18395 | + | 7.02400i | 0.270232 | + | 0.366151i | ||||
\(369\) | −5.35257 | − | 4.96646i | −0.278644 | − | 0.258544i | ||||
\(370\) | 3.74504 | + | 19.6914i | 0.194695 | + | 1.02371i | ||||
\(371\) | 6.81500 | + | 2.50052i | 0.353817 | + | 0.129821i | ||||
\(372\) | 10.1454 | + | 6.37475i | 0.526012 | + | 0.330515i | ||||
\(373\) | 21.6265 | − | 5.79481i | 1.11978 | − | 0.300044i | 0.348985 | − | 0.937128i | \(-0.386527\pi\) |
0.770794 | + | 0.637085i | \(0.219860\pi\) | |||||||
\(374\) | −5.28539 | − | 9.15457i | −0.273301 | − | 0.473372i | ||||
\(375\) | −5.41909 | + | 13.9232i | −0.279841 | + | 0.718990i | ||||
\(376\) | −0.589823 | − | 0.865111i | −0.0304178 | − | 0.0446147i | ||||
\(377\) | 10.8341 | − | 1.22071i | 0.557983 | − | 0.0628695i | ||||
\(378\) | 0.889520 | + | 14.8732i | 0.0457520 | + | 0.764995i | ||||
\(379\) | −21.6549 | + | 17.2692i | −1.11234 | + | 0.887059i | −0.994371 | − | 0.105959i | \(-0.966209\pi\) |
−0.117966 | + | 0.993018i | \(0.537637\pi\) | |||||||
\(380\) | 11.2602 | − | 1.27946i | 0.577637 | − | 0.0656351i | ||||
\(381\) | 4.96487 | + | 1.94857i | 0.254358 | + | 0.0998283i | ||||
\(382\) | −5.40978 | − | 4.65549i | −0.276789 | − | 0.238196i | ||||
\(383\) | −15.9105 | − | 6.94166i | −0.812986 | − | 0.354702i | −0.0480796 | − | 0.998844i | \(-0.515310\pi\) |
−0.764907 | + | 0.644141i | \(0.777215\pi\) | |||||||
\(384\) | −1.20399 | + | 0.579811i | −0.0614409 | + | 0.0295884i | ||||
\(385\) | −2.10050 | − | 21.3480i | −0.107052 | − | 1.08800i | ||||
\(386\) | 18.8757 | + | 9.09007i | 0.960749 | + | 0.462672i | ||||
\(387\) | −6.33092 | − | 7.35666i | −0.321819 | − | 0.373960i | ||||
\(388\) | 5.86840 | − | 11.1036i | 0.297923 | − | 0.563697i | ||||
\(389\) | −0.690913 | + | 1.01338i | −0.0350307 | + | 0.0513806i | −0.843355 | − | 0.537357i | \(-0.819423\pi\) |
0.808324 | + | 0.588738i | \(0.200375\pi\) | |||||||
\(390\) | −1.71226 | + | 7.53462i | −0.0867038 | + | 0.381530i | ||||
\(391\) | 25.4505i | 1.28709i | ||||||||
\(392\) | 6.98405 | + | 0.472338i | 0.352748 | + | 0.0238567i | ||||
\(393\) | −11.6266 | − | 11.6266i | −0.586486 | − | 0.586486i | ||||
\(394\) | 2.54379 | + | 16.8769i | 0.128154 | + | 0.850248i | ||||
\(395\) | −22.5669 | − | 4.24787i | −1.13546 | − | 0.213733i | ||||
\(396\) | 4.20707 | − | 1.29771i | 0.211413 | − | 0.0652123i | ||||
\(397\) | −1.97877 | + | 1.70287i | −0.0993116 | + | 0.0854645i | −0.700542 | − | 0.713611i | \(-0.747058\pi\) |
0.601230 | + | 0.799076i | \(0.294677\pi\) | |||||||
\(398\) | 18.2761 | − | 6.39509i | 0.916099 | − | 0.320557i | ||||
\(399\) | −3.59616 | + | 17.5543i | −0.180033 | + | 0.878813i | ||||
\(400\) | −1.46477 | + | 4.78063i | −0.0732386 | + | 0.239032i | ||||
\(401\) | 7.57359 | + | 19.2972i | 0.378207 | + | 0.963655i | 0.985576 | + | 0.169235i | \(0.0541298\pi\) |
−0.607369 | + | 0.794420i | \(0.707775\pi\) | |||||||
\(402\) | −1.19214 | + | 1.38529i | −0.0594586 | + | 0.0690922i | ||||
\(403\) | 21.2506 | − | 9.27155i | 1.05857 | − | 0.461849i | ||||
\(404\) | −12.1662 | − | 3.75279i | −0.605293 | − | 0.186708i | ||||
\(405\) | 4.04987 | − | 7.68024i | 0.201240 | − | 0.381634i | ||||
\(406\) | −3.04920 | + | 10.7305i | −0.151329 | + | 0.532546i | ||||
\(407\) | 3.63919 | + | 32.2987i | 0.180388 | + | 1.60099i | ||||
\(408\) | −3.82795 | − | 0.724287i | −0.189512 | − | 0.0358576i | ||||
\(409\) | −24.9332 | + | 23.1347i | −1.23287 | + | 1.14394i | −0.248348 | + | 0.968671i | \(0.579888\pi\) |
−0.984521 | + | 0.175265i | \(0.943922\pi\) | |||||||
\(410\) | 13.2945 | − | 2.01664i | 0.656571 | − | 0.0995947i | ||||
\(411\) | −18.5343 | − | 10.7008i | −0.914231 | − | 0.527832i | ||||
\(412\) | 6.34368 | − | 10.0959i | 0.312531 | − | 0.497390i | ||||
\(413\) | 1.57666 | + | 7.42139i | 0.0775822 | + | 0.365183i | ||||
\(414\) | −10.3342 | − | 2.35872i | −0.507899 | − | 0.115925i | ||||
\(415\) | −2.71903 | − | 5.63254i | −0.133472 | − | 0.276490i | ||||
\(416\) | −0.385396 | + | 2.55693i | −0.0188956 | + | 0.125364i | ||||
\(417\) | −5.44170 | + | 4.01616i | −0.266481 | + | 0.196672i | ||||
\(418\) | 18.3637 | − | 0.687121i | 0.898197 | − | 0.0336082i | ||||
\(419\) | −3.46721 | + | 15.1908i | −0.169384 | + | 0.742121i | 0.816861 | + | 0.576834i | \(0.195712\pi\) |
−0.986246 | + | 0.165287i | \(0.947145\pi\) | |||||||
\(420\) | −6.46856 | − | 4.54531i | −0.315633 | − | 0.221788i | ||||
\(421\) | −0.707590 | − | 3.10016i | −0.0344858 | − | 0.151092i | 0.954754 | − | 0.297398i | \(-0.0961188\pi\) |
−0.989239 | + | 0.146306i | \(0.953262\pi\) | |||||||
\(422\) | 6.46824 | + | 24.1398i | 0.314869 | + | 1.17511i | ||||
\(423\) | 1.22803 | + | 0.329050i | 0.0597090 | + | 0.0159990i | ||||
\(424\) | −1.86622 | − | 2.01131i | −0.0906316 | − | 0.0976777i | ||||
\(425\) | −11.7121 | + | 8.67806i | −0.568121 | + | 0.420948i | ||||
\(426\) | 14.2956 | + | 11.4003i | 0.692622 | + | 0.552348i | ||||
\(427\) | −2.07546 | + | 12.4901i | −0.100438 | + | 0.604438i | ||||
\(428\) | −2.00160 | + | 17.7646i | −0.0967507 | + | 0.858687i | ||||
\(429\) | −3.69307 | + | 11.9727i | −0.178303 | + | 0.578045i | ||||
\(430\) | 17.8605 | − | 0.685141i | 0.861311 | − | 0.0330404i | ||||
\(431\) | −1.78467 | − | 23.8148i | −0.0859646 | − | 1.14712i | −0.858731 | − | 0.512427i | \(-0.828746\pi\) |
0.772766 | − | 0.634691i | \(-0.218873\pi\) | |||||||
\(432\) | 2.25203 | − | 5.16170i | 0.108351 | − | 0.248343i | ||||
\(433\) | 0.386885 | − | 1.10565i | 0.0185925 | − | 0.0531343i | −0.934213 | − | 0.356715i | \(-0.883897\pi\) |
0.952806 | + | 0.303581i | \(0.0981823\pi\) | |||||||
\(434\) | 0.529817 | + | 23.7166i | 0.0254320 | + | 1.13843i | ||||
\(435\) | 9.22755 | − | 8.57810i | 0.442427 | − | 0.411288i | ||||
\(436\) | −0.490521 | + | 6.54555i | −0.0234917 | + | 0.313475i | ||||
\(437\) | −39.1167 | − | 20.6738i | −1.87121 | − | 0.988961i | ||||
\(438\) | −1.79005 | − | 9.46063i | −0.0855318 | − | 0.452046i | ||||
\(439\) | 9.69213 | − | 1.46085i | 0.462580 | − | 0.0697228i | 0.0863823 | − | 0.996262i | \(-0.472469\pi\) |
0.376198 | + | 0.926539i | \(0.377231\pi\) | |||||||
\(440\) | −2.95499 | + | 7.55009i | −0.140874 | + | 0.359936i | ||||
\(441\) | −6.80186 | + | 5.09682i | −0.323898 | + | 0.242706i | ||||
\(442\) | −5.33057 | + | 5.33057i | −0.253549 | + | 0.253549i | ||||
\(443\) | −17.6450 | − | 13.0226i | −0.838339 | − | 0.618722i | 0.0877013 | − | 0.996147i | \(-0.472048\pi\) |
−0.926040 | + | 0.377424i | \(0.876810\pi\) | |||||||
\(444\) | 9.89753 | + | 6.74802i | 0.469716 | + | 0.320247i | ||||
\(445\) | −3.93226 | − | 4.56068i | −0.186407 | − | 0.216197i | ||||
\(446\) | −9.66956 | − | 0.724633i | −0.457867 | − | 0.0343124i | ||||
\(447\) | −4.13498 | − | 11.8171i | −0.195578 | − | 0.558929i | ||||
\(448\) | −2.27110 | − | 1.35724i | −0.107299 | − | 0.0641236i | ||||
\(449\) | 4.42413 | + | 9.18680i | 0.208788 | + | 0.433552i | 0.978895 | − | 0.204362i | \(-0.0655119\pi\) |
−0.770108 | + | 0.637914i | \(0.779798\pi\) | |||||||
\(450\) | −2.43828 | − | 5.55999i | −0.114941 | − | 0.262100i | ||||
\(451\) | 21.7434 | − | 1.62945i | 1.02386 | − | 0.0767276i | ||||
\(452\) | 0.0815779 | + | 0.186979i | 0.00383710 | + | 0.00879473i | ||||
\(453\) | 2.00857 | − | 1.06156i | 0.0943707 | − | 0.0498764i | ||||
\(454\) | −15.7306 | − | 19.7256i | −0.738274 | − | 0.925767i | ||||
\(455\) | −14.3179 | + | 5.38729i | −0.671234 | + | 0.252560i | ||||
\(456\) | 4.22270 | − | 5.29510i | 0.197746 | − | 0.247966i | ||||
\(457\) | 0.411454 | − | 2.17459i | 0.0192470 | − | 0.101723i | −0.971626 | − | 0.236524i | \(-0.923992\pi\) |
0.990873 | + | 0.134801i | \(0.0430395\pi\) | |||||||
\(458\) | 0.568925 | − | 15.2048i | 0.0265841 | − | 0.710476i | ||||
\(459\) | 14.2185 | − | 8.20904i | 0.663661 | − | 0.383165i | ||||
\(460\) | 15.2503 | − | 12.1852i | 0.711047 | − | 0.568138i | ||||
\(461\) | 18.2392 | − | 4.16298i | 0.849484 | − | 0.193889i | 0.224449 | − | 0.974486i | \(-0.427942\pi\) |
0.625035 | + | 0.780597i | \(0.285085\pi\) | |||||||
\(462\) | −9.90132 | − | 8.14303i | −0.460651 | − | 0.378848i | ||||
\(463\) | −8.82811 | + | 5.54707i | −0.410277 | + | 0.257794i | −0.721320 | − | 0.692602i | \(-0.756464\pi\) |
0.311043 | + | 0.950396i | \(0.399322\pi\) | |||||||
\(464\) | 2.86782 | − | 3.09078i | 0.133135 | − | 0.143486i | ||||
\(465\) | 13.3743 | − | 23.2154i | 0.620218 | − | 1.07659i | ||||
\(466\) | 24.8727 | + | 3.74896i | 1.15221 | + | 0.173667i | ||||
\(467\) | −0.946484 | − | 25.2953i | −0.0437981 | − | 1.17053i | −0.831879 | − | 0.554957i | \(-0.812735\pi\) |
0.788081 | − | 0.615571i | \(-0.211075\pi\) | |||||||
\(468\) | −1.67046 | − | 2.65851i | −0.0772168 | − | 0.122890i | ||||
\(469\) | −3.58921 | − | 0.459258i | −0.165734 | − | 0.0212066i | ||||
\(470\) | −1.88247 | + | 1.39207i | −0.0868319 | + | 0.0642113i | ||||
\(471\) | −0.927314 | + | 1.60616i | −0.0427284 | + | 0.0740077i | ||||
\(472\) | 0.742196 | − | 2.76991i | 0.0341623 | − | 0.127496i | ||||
\(473\) | 28.9628 | + | 1.08371i | 1.33171 | + | 0.0498291i | ||||
\(474\) | −11.3388 | + | 7.73064i | −0.520807 | + | 0.355080i | ||||
\(475\) | −3.82403 | − | 25.0504i | −0.175458 | − | 1.14939i | ||||
\(476\) | −2.97764 | − | 7.11538i | −0.136480 | − | 0.326133i | ||||
\(477\) | 3.31058 | + | 0.373012i | 0.151581 | + | 0.0170791i | ||||
\(478\) | 8.30407 | + | 15.7121i | 0.379819 | + | 0.718654i | ||||
\(479\) | −0.898181 | + | 2.28853i | −0.0410389 | + | 0.104566i | −0.949924 | − | 0.312482i | \(-0.898840\pi\) |
0.908885 | + | 0.417047i | \(0.136935\pi\) | |||||||
\(480\) | 1.39874 | + | 2.64053i | 0.0638436 | + | 0.120523i | ||||
\(481\) | 21.5773 | − | 8.46845i | 0.983838 | − | 0.386128i | ||||
\(482\) | 10.5864 | + | 3.70434i | 0.482197 | + | 0.168728i | ||||
\(483\) | 10.8422 | + | 28.8981i | 0.493338 | + | 1.31491i | ||||
\(484\) | −0.931621 | + | 1.93453i | −0.0423464 | + | 0.0879332i | ||||
\(485\) | −25.3131 | − | 12.1608i | −1.14941 | − | 0.552192i | ||||
\(486\) | 3.45036 | + | 11.1858i | 0.156511 | + | 0.507397i | ||||
\(487\) | −34.2297 | + | 6.47661i | −1.55110 | + | 0.293483i | −0.889697 | − | 0.456551i | \(-0.849085\pi\) |
−0.661399 | + | 0.750034i | \(0.730037\pi\) | |||||||
\(488\) | 2.84175 | − | 3.85044i | 0.128640 | − | 0.174301i | ||||
\(489\) | −3.85594 | −0.174372 | ||||||||
\(490\) | 0.456774 | − | 15.6458i | 0.0206349 | − | 0.706806i | ||||
\(491\) | 2.82015 | 0.127272 | 0.0636359 | − | 0.997973i | \(-0.479730\pi\) | ||||
0.0636359 | + | 0.997973i | \(0.479730\pi\) | |||||||
\(492\) | 4.77196 | − | 6.46577i | 0.215136 | − | 0.291499i | ||||
\(493\) | 12.0778 | − | 2.28524i | 0.543955 | − | 0.102922i | ||||
\(494\) | −3.86284 | − | 12.5230i | −0.173797 | − | 0.563437i | ||||
\(495\) | −3.26024 | − | 9.28914i | −0.146537 | − | 0.417516i | ||||
\(496\) | 3.89032 | − | 8.07834i | 0.174681 | − | 0.362728i | ||||
\(497\) | −3.24881 | + | 36.0552i | −0.145729 | + | 1.61730i | ||||
\(498\) | −3.52808 | − | 1.23453i | −0.158097 | − | 0.0553205i | ||||
\(499\) | −5.12363 | + | 2.01088i | −0.229365 | + | 0.0900193i | −0.477241 | − | 0.878773i | \(-0.658363\pi\) |
0.247875 | + | 0.968792i | \(0.420268\pi\) | |||||||
\(500\) | 10.8075 | + | 2.86316i | 0.483327 | + | 0.128044i | ||||
\(501\) | −11.4827 | + | 29.2574i | −0.513008 | + | 1.30712i | ||||
\(502\) | 5.57075 | + | 10.5404i | 0.248635 | + | 0.470440i | ||||
\(503\) | 30.1095 | + | 3.39252i | 1.34252 | + | 0.151265i | 0.753815 | − | 0.657086i | \(-0.228211\pi\) |
0.588700 | + | 0.808351i | \(0.299640\pi\) | |||||||
\(504\) | 3.16517 | − | 0.549632i | 0.140988 | − | 0.0244826i | ||||
\(505\) | −7.34251 | + | 27.5062i | −0.326737 | + | 1.22401i | ||||
\(506\) | 26.1533 | − | 17.8311i | 1.16266 | − | 0.792687i | ||||
\(507\) | −8.43109 | − | 0.315469i | −0.374438 | − | 0.0140105i | ||||
\(508\) | 1.03300 | − | 3.85521i | 0.0458320 | − | 0.171047i | ||||
\(509\) | −12.8376 | + | 22.2354i | −0.569017 | + | 0.985566i | 0.427646 | + | 0.903946i | \(0.359343\pi\) |
−0.996663 | + | 0.0816204i | \(0.973990\pi\) | |||||||
\(510\) | −1.29026 | + | 8.61535i | −0.0571335 | + | 0.381494i | ||||
\(511\) | 13.6812 | − | 13.2751i | 0.605220 | − | 0.587255i | ||||
\(512\) | 0.532032 | + | 0.846724i | 0.0235127 | + | 0.0374203i | ||||
\(513\) | 1.06721 | + | 28.5217i | 0.0471183 | + | 1.25926i | ||||
\(514\) | 20.0011 | + | 3.01468i | 0.882212 | + | 0.132972i | ||||
\(515\) | −23.1023 | − | 13.3091i | −1.01801 | − | 0.586470i | ||||
\(516\) | 7.26542 | − | 7.83026i | 0.319842 | − | 0.344708i | ||||
\(517\) | −3.21458 | + | 2.01986i | −0.141377 | + | 0.0888332i | ||||
\(518\) | −0.357261 | + | 23.7142i | −0.0156971 | + | 1.04194i | ||||
\(519\) | 7.59071 | − | 1.73253i | 0.333195 | − | 0.0760496i | ||||
\(520\) | 5.74631 | + | 0.641973i | 0.251992 | + | 0.0281524i | ||||
\(521\) | −14.1333 | + | 8.15989i | −0.619193 | + | 0.357491i | −0.776555 | − | 0.630050i | \(-0.783034\pi\) |
0.157362 | + | 0.987541i | \(0.449701\pi\) | |||||||
\(522\) | −0.191427 | + | 5.11598i | −0.00837851 | + | 0.223920i | ||||
\(523\) | 3.38431 | − | 17.8865i | 0.147986 | − | 0.782123i | −0.827399 | − | 0.561614i | \(-0.810181\pi\) |
0.975385 | − | 0.220509i | \(-0.0707718\pi\) | |||||||
\(524\) | −7.67158 | + | 9.61986i | −0.335135 | + | 0.420245i | ||||
\(525\) | −9.60171 | + | 14.8431i | −0.419053 | + | 0.647806i | ||||
\(526\) | −6.41981 | − | 8.05019i | −0.279917 | − | 0.351005i | ||||
\(527\) | 23.1107 | − | 12.2143i | 1.00672 | − | 0.532065i | ||||
\(528\) | 1.93764 | + | 4.44111i | 0.0843248 | + | 0.193274i | ||||
\(529\) | −53.0611 | + | 3.97638i | −2.30700 | + | 0.172886i | ||||
\(530\) | −4.33415 | + | 4.34232i | −0.188263 | + | 0.188618i | ||||
\(531\) | 1.51076 | + | 3.13712i | 0.0655614 | + | 0.136140i | ||||
\(532\) | 13.3549 | + | 1.20337i | 0.579008 | + | 0.0521725i | ||||
\(533\) | −5.13578 | − | 14.6772i | −0.222455 | − | 0.635741i | ||||
\(534\) | −3.58873 | − | 0.268938i | −0.155300 | − | 0.0116381i | ||||
\(535\) | 39.8653 | + | 2.94973i | 1.72353 | + | 0.127528i | ||||
\(536\) | 1.13001 | + | 0.770426i | 0.0488089 | + | 0.0332773i | ||||
\(537\) | 24.2832 | + | 17.9218i | 1.04790 | + | 0.773382i | ||||
\(538\) | 1.67214 | − | 1.67214i | 0.0720909 | − | 0.0720909i | ||||
\(539\) | 2.65833 | − | 25.2417i | 0.114502 | − | 1.08724i | ||||
\(540\) | −11.7265 | − | 4.58956i | −0.504627 | − | 0.197503i | ||||
\(541\) | −12.5965 | + | 1.89862i | −0.541567 | + | 0.0816281i | −0.414129 | − | 0.910218i | \(-0.635914\pi\) |
−0.127438 | + | 0.991846i | \(0.540676\pi\) | |||||||
\(542\) | −4.59768 | − | 24.2993i | −0.197487 | − | 1.04375i | ||||
\(543\) | −16.7258 | − | 8.83985i | −0.717773 | − | 0.379354i | ||||
\(544\) | −0.217865 | + | 2.90720i | −0.00934087 | + | 0.124645i | ||||
\(545\) | 14.6676 | + | 0.534987i | 0.628290 | + | 0.0229163i | ||||
\(546\) | −3.78178 | + | 8.32354i | −0.161845 | + | 0.356215i | ||||
\(547\) | 3.31634 | − | 9.47755i | 0.141796 | − | 0.405231i | −0.850982 | − | 0.525195i | \(-0.823992\pi\) |
0.992778 | + | 0.119964i | \(0.0382781\pi\) | |||||||
\(548\) | −6.40436 | + | 14.6790i | −0.273581 | + | 0.627054i | ||||
\(549\) | 0.434237 | + | 5.79448i | 0.0185328 | + | 0.247303i | ||||
\(550\) | 17.1234 | + | 5.95555i | 0.730144 | + | 0.253946i | ||||
\(551\) | −6.29858 | + | 20.4195i | −0.268328 | + | 0.869899i | ||||
\(552\) | 1.30617 | − | 11.5926i | 0.0555942 | − | 0.493412i | ||||
\(553\) | −25.1398 | − | 10.3063i | −1.06905 | − | 0.438269i | ||||
\(554\) | 5.90556 | + | 4.70953i | 0.250903 | + | 0.200089i | ||||
\(555\) | 14.2296 | − | 22.6937i | 0.604012 | − | 0.963293i | ||||
\(556\) | 3.44240 | + | 3.71003i | 0.145990 | + | 0.157340i | ||||
\(557\) | 14.3264 | + | 3.83874i | 0.607028 | + | 0.162653i | 0.549224 | − | 0.835675i | \(-0.314923\pi\) |
0.0578043 | + | 0.998328i | \(0.481590\pi\) | |||||||
\(558\) | 2.81779 | + | 10.5161i | 0.119286 | + | 0.445183i | ||||
\(559\) | −4.59935 | − | 20.1511i | −0.194532 | − | 0.852300i | ||||
\(560\) | −2.83799 | + | 5.19094i | −0.119927 | + | 0.219357i | ||||
\(561\) | −3.14334 | + | 13.7719i | −0.132712 | + | 0.581449i | ||||
\(562\) | 10.3896 | − | 0.388752i | 0.438259 | − | 0.0163985i | ||||
\(563\) | 5.74599 | − | 4.24074i | 0.242165 | − | 0.178726i | −0.465975 | − | 0.884798i | \(-0.654296\pi\) |
0.708140 | + | 0.706072i | \(0.249535\pi\) | |||||||
\(564\) | −0.208540 | + | 1.38357i | −0.00878111 | + | 0.0582589i | ||||
\(565\) | 0.410797 | − | 0.198306i | 0.0172824 | − | 0.00834281i | ||||
\(566\) | −1.78672 | − | 0.407806i | −0.0751012 | − | 0.0171414i | ||||
\(567\) | 6.52562 | − | 7.93466i | 0.274050 | − | 0.333224i | ||||
\(568\) | 7.27969 | − | 11.5856i | 0.305449 | − | 0.486119i | ||||
\(569\) | 9.60537 | + | 5.54566i | 0.402678 | + | 0.232486i | 0.687639 | − | 0.726053i | \(-0.258647\pi\) |
−0.284961 | + | 0.958539i | \(0.591981\pi\) | |||||||
\(570\) | −12.1934 | − | 8.98144i | −0.510727 | − | 0.376191i | ||||
\(571\) | 1.01292 | − | 0.939848i | 0.0423892 | − | 0.0393314i | −0.658694 | − | 0.752411i | \(-0.728891\pi\) |
0.701083 | + | 0.713080i | \(0.252700\pi\) | |||||||
\(572\) | 9.21246 | + | 1.74309i | 0.385192 | + | 0.0728823i | ||||
\(573\) | 1.06787 | + | 9.47765i | 0.0446111 | + | 0.395934i | ||||
\(574\) | 15.8884 | + | 0.834334i | 0.663168 | + | 0.0348244i | ||||
\(575\) | −28.5341 | − | 33.0311i | −1.18995 | − | 1.37749i | ||||
\(576\) | −1.16028 | − | 0.357899i | −0.0483451 | − | 0.0149125i | ||||
\(577\) | 9.04526 | − | 3.94641i | 0.376559 | − | 0.164291i | −0.203084 | − | 0.979161i | \(-0.565097\pi\) |
0.579643 | + | 0.814870i | \(0.303192\pi\) | |||||||
\(578\) | 5.54491 | − | 6.44330i | 0.230638 | − | 0.268006i | ||||
\(579\) | −10.2283 | − | 26.0614i | −0.425075 | − | 1.08307i | ||||
\(580\) | −7.15193 | − | 6.14301i | −0.296968 | − | 0.255075i | ||||
\(581\) | −1.80747 | − | 7.17629i | −0.0749865 | − | 0.297723i | ||||
\(582\) | −15.8411 | + | 5.54303i | −0.656634 | + | 0.229766i | ||||
\(583\) | −7.54072 | + | 6.48931i | −0.312305 | + | 0.268760i | ||||
\(584\) | −6.88507 | + | 2.12376i | −0.284906 | + | 0.0878820i | ||||
\(585\) | −5.79707 | + | 3.96038i | −0.239679 | + | 0.163741i | ||||
\(586\) | −0.308826 | − | 2.04893i | −0.0127575 | − | 0.0846404i | ||||
\(587\) | 29.2875 | + | 29.2875i | 1.20883 | + | 1.20883i | 0.971407 | + | 0.237419i | \(0.0763015\pi\) |
0.237419 | + | 0.971407i | \(0.423699\pi\) | |||||||
\(588\) | −6.41223 | − | 6.81074i | −0.264436 | − | 0.280870i | ||||
\(589\) | 45.4422i | 1.87241i | ||||||||
\(590\) | −6.25278 | − | 1.42096i | −0.257423 | − | 0.0585000i | ||||
\(591\) | 12.8481 | − | 18.8448i | 0.528502 | − | 0.775170i | ||||
\(592\) | 4.18866 | − | 7.92532i | 0.172153 | − | 0.325729i | ||||
\(593\) | 13.6373 | + | 15.8468i | 0.560015 | + | 0.650749i | 0.964589 | − | 0.263756i | \(-0.0849613\pi\) |
−0.404574 | + | 0.914505i | \(0.632580\pi\) | |||||||
\(594\) | −18.3974 | − | 8.85973i | −0.754855 | − | 0.363519i | ||||
\(595\) | −15.6436 | + | 7.26320i | −0.641323 | + | 0.297762i | ||||
\(596\) | −8.44090 | + | 4.06493i | −0.345753 | + | 0.166506i | ||||
\(597\) | −23.7160 | − | 10.3472i | −0.970630 | − | 0.423481i | ||||
\(598\) | −17.1102 | − | 14.7245i | −0.699690 | − | 0.602132i | ||||
\(599\) | 0.812792 | + | 0.318997i | 0.0332098 | + | 0.0130339i | 0.381888 | − | 0.924209i | \(-0.375274\pi\) |
−0.348678 | + | 0.937243i | \(0.613369\pi\) | |||||||
\(600\) | 5.78017 | − | 3.35172i | 0.235974 | − | 0.136833i | ||||
\(601\) | 22.3361 | − | 17.8124i | 0.911108 | − | 0.726584i | −0.0511594 | − | 0.998691i | \(-0.516292\pi\) |
0.962267 | + | 0.272106i | \(0.0877202\pi\) | |||||||
\(602\) | 20.8623 | + | 3.46666i | 0.850285 | + | 0.141290i | ||||
\(603\) | −1.65020 | + | 0.185933i | −0.0672013 | + | 0.00757176i | ||||
\(604\) | −0.957677 | − | 1.40465i | −0.0389673 | − | 0.0571546i | ||||
\(605\) | 4.40242 | + | 1.91582i | 0.178984 | + | 0.0778892i | ||||
\(606\) | 8.50699 | + | 14.7345i | 0.345573 | + | 0.598550i | ||||
\(607\) | 9.25743 | − | 2.48052i | 0.375748 | − | 0.100681i | −0.0660024 | − | 0.997819i | \(-0.521025\pi\) |
0.441750 | + | 0.897138i | \(0.354358\pi\) | |||||||
\(608\) | −4.29131 | − | 2.69641i | −0.174035 | − | 0.109354i | ||||
\(609\) | 12.7403 | − | 7.74006i | 0.516263 | − | 0.313643i | ||||
\(610\) | −8.84709 | − | 6.01964i | −0.358208 | − | 0.243728i | ||||
\(611\) | 1.98472 | + | 1.84155i | 0.0802930 | + | 0.0745011i | ||||
\(612\) | −2.10206 | − | 2.84819i | −0.0849709 | − | 0.115131i | ||||
\(613\) | −17.1026 | − | 23.1732i | −0.690767 | − | 0.935956i | 0.309119 | − | 0.951023i | \(-0.399966\pi\) |
−0.999886 | + | 0.0150671i | \(0.995204\pi\) | |||||||
\(614\) | 13.1020 | + | 12.1569i | 0.528754 | + | 0.490612i | ||||
\(615\) | −14.8563 | − | 10.1084i | −0.599064 | − | 0.407609i | ||||
\(616\) | −5.22569 | + | 8.04502i | −0.210549 | + | 0.324143i | ||||
\(617\) | 16.6677 | + | 10.4730i | 0.671016 | + | 0.421627i | 0.823991 | − | 0.566603i | \(-0.191743\pi\) |
−0.152975 | + | 0.988230i | \(0.548885\pi\) | |||||||
\(618\) | −15.3908 | + | 4.12394i | −0.619108 | + | 0.165889i | ||||
\(619\) | −11.5701 | − | 20.0400i | −0.465041 | − | 0.805474i | 0.534163 | − | 0.845382i | \(-0.320627\pi\) |
−0.999203 | + | 0.0399075i | \(0.987294\pi\) | |||||||
\(620\) | −18.3839 | − | 8.00020i | −0.738315 | − | 0.321296i | ||||
\(621\) | 27.6944 | + | 40.6202i | 1.11134 | + | 1.63003i | ||||
\(622\) | −5.23416 | + | 0.589749i | −0.209871 | + | 0.0236468i | ||||
\(623\) | −3.46921 | − | 6.22351i | −0.138991 | − | 0.249340i | ||||
\(624\) | 2.70162 | − | 2.15447i | 0.108151 | − | 0.0862477i | ||||
\(625\) | 5.47115 | − | 24.3940i | 0.218846 | − | 0.975759i | ||||
\(626\) | 2.13934 | + | 0.839630i | 0.0855053 | + | 0.0335584i | ||||
\(627\) | −18.6136 | − | 16.0183i | −0.743355 | − | 0.639709i | ||||
\(628\) | 1.27205 | + | 0.554992i | 0.0507605 | + | 0.0221466i | ||||
\(629\) | 23.5456 | − | 11.3389i | 0.938823 | − | 0.452113i | ||||
\(630\) | −1.49941 | − | 7.02523i | −0.0597380 | − | 0.279892i | ||||
\(631\) | −3.14914 | − | 1.51655i | −0.125365 | − | 0.0603728i | 0.370150 | − | 0.928972i | \(-0.379306\pi\) |
−0.495515 | + | 0.868599i | \(0.665021\pi\) | |||||||
\(632\) | 6.69863 | + | 7.78395i | 0.266457 | + | 0.309629i | ||||
\(633\) | 15.6052 | − | 29.5265i | 0.620252 | − | 1.17357i | ||||
\(634\) | −9.76278 | + | 14.3194i | −0.387730 | + | 0.568695i | ||||
\(635\) | −8.70272 | − | 1.97772i | −0.345357 | − | 0.0784833i | ||||
\(636\) | 3.66654i | 0.145388i | ||||||||
\(637\) | −17.8784 | + | 2.82785i | −0.708370 | + | 0.112043i | ||||
\(638\) | −10.8102 | − | 10.8102i | −0.427981 | − | 0.427981i | ||||
\(639\) | 2.47619 | + | 16.4284i | 0.0979565 | + | 0.649899i | ||||
\(640\) | 1.84634 | − | 1.26136i | 0.0729829 | − | 0.0498597i | ||||
\(641\) | −33.8778 | + | 10.4499i | −1.33809 | + | 0.412747i | −0.879500 | − | 0.475899i | \(-0.842123\pi\) |
−0.458593 | + | 0.888646i | \(0.651646\pi\) | |||||||
\(642\) | 18.1077 | − | 15.5829i | 0.714652 | − | 0.615008i | ||||
\(643\) | −34.6162 | + | 12.1127i | −1.36513 | + | 0.477680i | −0.910687 | − | 0.413096i | \(-0.864447\pi\) |
−0.454443 | + | 0.890776i | \(0.650162\pi\) | |||||||
\(644\) | 20.5806 | − | 10.4837i | 0.810990 | − | 0.413114i | ||||
\(645\) | −18.1189 | − | 15.5629i | −0.713430 | − | 0.612787i | ||||
\(646\) | −5.39805 | − | 13.7540i | −0.212384 | − | 0.541145i | ||||
\(647\) | −17.2515 | + | 20.0466i | −0.678227 | + | 0.788114i | −0.986601 | − | 0.163151i | \(-0.947834\pi\) |
0.308374 | + | 0.951265i | \(0.400215\pi\) | |||||||
\(648\) | −3.55899 | + | 1.55277i | −0.139810 | + | 0.0609986i | ||||
\(649\) | −9.93578 | − | 3.06478i | −0.390014 | − | 0.120303i | ||||
\(650\) | 0.941900 | − | 12.8947i | 0.0369444 | − | 0.505772i | ||||
\(651\) | 21.0378 | − | 23.7143i | 0.824538 | − | 0.929438i | ||||
\(652\) | 0.323071 | + | 2.86733i | 0.0126524 | + | 0.112293i | ||||
\(653\) | −11.6000 | − | 2.19483i | −0.453942 | − | 0.0858905i | −0.0460875 | − | 0.998937i | \(-0.514675\pi\) |
−0.407854 | + | 0.913047i | \(0.633723\pi\) | |||||||
\(654\) | 6.42999 | − | 5.96616i | 0.251432 | − | 0.233295i | ||||
\(655\) | 22.1524 | + | 16.3170i | 0.865566 | + | 0.637558i | ||||
\(656\) | −5.20785 | − | 3.00676i | −0.203333 | − | 0.117394i | ||||
\(657\) | 4.65460 | − | 7.40775i | 0.181593 | − | 0.289004i | ||||
\(658\) | −2.51371 | + | 1.16422i | −0.0979947 | + | 0.0453862i | ||||
\(659\) | 25.2872 | + | 5.77163i | 0.985048 | + | 0.224831i | 0.684561 | − | 0.728955i | \(-0.259994\pi\) |
0.300486 | + | 0.953786i | \(0.402851\pi\) | |||||||
\(660\) | 9.75724 | − | 4.71017i | 0.379800 | − | 0.183343i | ||||
\(661\) | 5.00530 | − | 33.2080i | 0.194683 | − | 1.29164i | −0.651459 | − | 0.758684i | \(-0.725843\pi\) |
0.846143 | − | 0.532957i | \(-0.178919\pi\) | |||||||
\(662\) | −23.3822 | + | 17.2568i | −0.908775 | + | 0.670706i | ||||
\(663\) | 10.0670 | − | 0.376679i | 0.390968 | − | 0.0146290i | ||||
\(664\) | −0.622411 | + | 2.72696i | −0.0241542 | + | 0.105827i | ||||
\(665\) | 1.54413 | − | 29.9437i | 0.0598787 | − | 1.16117i | ||||
\(666\) | 2.42202 | + | 10.6116i | 0.0938516 | + | 0.411191i | ||||
\(667\) | 9.52654 | + | 35.5535i | 0.368869 | + | 1.37664i | ||||
\(668\) | 22.7183 | + | 6.08734i | 0.878996 | + | 0.235526i | ||||
\(669\) | 8.81364 | + | 9.49884i | 0.340755 | + | 0.367247i | ||||
\(670\) | 1.62460 | − | 2.59095i | 0.0627638 | − | 0.100097i | ||||
\(671\) | −13.5663 | − | 10.8187i | −0.523720 | − | 0.417653i | ||||
\(672\) | 0.991123 | + | 3.39383i | 0.0382334 | + | 0.130920i | ||||
\(673\) | −5.26346 | + | 46.7145i | −0.202891 | + | 1.80071i | 0.319060 | + | 0.947735i | \(0.396633\pi\) |
−0.521951 | + | 0.852975i | \(0.674796\pi\) | |||||||
\(674\) | −3.84358 | + | 12.4606i | −0.148049 | + | 0.479964i | ||||
\(675\) | −9.24990 | + | 26.5953i | −0.356029 | + | 1.02365i | ||||
\(676\) | 0.471813 | + | 6.29591i | 0.0181467 | + | 0.242150i | ||||
\(677\) | 7.59715 | − | 17.4129i | 0.291982 | − | 0.669230i | −0.707308 | − | 0.706906i | \(-0.750090\pi\) |
0.999290 | + | 0.0376753i | \(0.0119953\pi\) | |||||||
\(678\) | 0.0900376 | − | 0.257313i | 0.00345787 | − | 0.00988204i | ||||
\(679\) | −26.4348 | − | 20.1318i | −1.01447 | − | 0.772589i | ||||
\(680\) | 6.51460 | + | 0.237614i | 0.249823 | + | 0.00911209i | ||||
\(681\) | −2.51956 | + | 33.6212i | −0.0965498 | + | 1.28837i | ||||
\(682\) | −28.7433 | − | 15.1913i | −1.10064 | − | 0.581705i | ||||
\(683\) | −4.05419 | − | 21.4269i | −0.155129 | − | 0.819879i | −0.970530 | − | 0.240981i | \(-0.922531\pi\) |
0.815400 | − | 0.578897i | \(-0.196517\pi\) | |||||||
\(684\) | 6.08512 | − | 0.917184i | 0.232670 | − | 0.0350694i | ||||
\(685\) | 33.3480 | + | 13.0519i | 1.27416 | + | 0.498686i | ||||
\(686\) | 4.26172 | − | 18.0233i | 0.162713 | − | 0.688131i | ||||
\(687\) | −14.3775 | + | 14.3775i | −0.548537 | + | 0.548537i | ||||
\(688\) | −6.43142 | − | 4.74661i | −0.245196 | − | 0.180963i | ||||
\(689\) | 5.86201 | + | 3.99665i | 0.223325 | + | 0.152260i | ||||
\(690\) | −26.0147 | − | 1.92489i | −0.990361 | − | 0.0732793i | ||||
\(691\) | 20.2629 | + | 1.51850i | 0.770838 | + | 0.0577663i | 0.454342 | − | 0.890827i | \(-0.349874\pi\) |
0.316496 | + | 0.948594i | \(0.397494\pi\) | |||||||
\(692\) | −1.92432 | − | 5.49939i | −0.0731517 | − | 0.209056i | ||||
\(693\) | −1.56239 | − | 11.5431i | −0.0593505 | − | 0.438486i | ||||
\(694\) | 11.0521 | + | 22.9500i | 0.419533 | + | 0.871170i | ||||
\(695\) | 7.99472 | − | 8.00979i | 0.303257 | − | 0.303829i | ||||
\(696\) | −5.61863 | + | 0.421058i | −0.212974 | + | 0.0159602i | ||||
\(697\) | −7.01071 | − | 16.0687i | −0.265550 | − | 0.608646i | ||||
\(698\) | −28.3520 | + | 14.9845i | −1.07314 | + | 0.567172i | ||||
\(699\) | −20.9577 | − | 26.2801i | −0.792693 | − | 0.994006i | ||||
\(700\) | 11.8420 | + | 5.89633i | 0.447586 | + | 0.222860i | ||||
\(701\) | −2.50081 | + | 3.13592i | −0.0944544 | + | 0.118442i | −0.826813 | − | 0.562478i | \(-0.809848\pi\) |
0.732358 | + | 0.680920i | \(0.238420\pi\) | |||||||
\(702\) | −2.70729 | + | 14.3084i | −0.102180 | + | 0.540035i | ||||
\(703\) | −1.69873 | + | 45.3996i | −0.0640689 | + | 1.71228i | ||||
\(704\) | 3.14012 | − | 1.81295i | 0.118348 | − | 0.0683282i | ||||
\(705\) | 3.10936 | + | 0.347375i | 0.117105 | + | 0.0130829i | ||||
\(706\) | 19.2768 | − | 4.39981i | 0.725492 | − | 0.165589i | ||||
\(707\) | −15.0711 | + | 30.1259i | −0.566806 | + | 1.13300i | ||||
\(708\) | −3.24472 | + | 2.03879i | −0.121944 | + | 0.0766226i | ||||
\(709\) | −14.8498 | + | 16.0042i | −0.557695 | + | 0.601052i | −0.947465 | − | 0.319860i | \(-0.896364\pi\) |
0.389770 | + | 0.920912i | \(0.372554\pi\) | |||||||
\(710\) | −26.5110 | − | 15.2729i | −0.994941 | − | 0.573180i | ||||
\(711\) | −12.3302 | − | 1.85847i | −0.462417 | − | 0.0696981i | ||||
\(712\) | 0.100696 | + | 2.69116i | 0.00377375 | + | 0.100856i | ||||
\(713\) | 41.6443 | + | 66.2765i | 1.55959 | + | 2.48208i | ||||
\(714\) | −3.55052 | + | 9.67669i | −0.132875 | + | 0.362141i | ||||
\(715\) | 3.10517 | − | 20.7339i | 0.116127 | − | 0.775406i | ||||
\(716\) | 11.2923 | − | 19.5589i | 0.422014 | − | 0.730949i | ||||
\(717\) | 6.14659 | − | 22.9394i | 0.229548 | − | 0.856687i | ||||
\(718\) | 2.53863 | + | 0.0949889i | 0.0947409 | + | 0.00354495i | ||||
\(719\) | 24.2190 | − | 16.5122i | 0.903216 | − | 0.615802i | −0.0201189 | − | 0.999798i | \(-0.506404\pi\) |
0.923335 | + | 0.383995i | \(0.125452\pi\) | |||||||
\(720\) | −0.700247 | + | 2.62324i | −0.0260967 | + | 0.0977623i | ||||
\(721\) | −23.5987 | − | 20.9353i | −0.878863 | − | 0.779671i | ||||
\(722\) | 6.64389 | + | 0.748586i | 0.247260 | + | 0.0278595i | ||||
\(723\) | −7.00341 | − | 13.2511i | −0.260460 | − | 0.492814i | ||||
\(724\) | −5.17206 | + | 13.1782i | −0.192218 | + | 0.489764i | ||||
\(725\) | −13.1131 | + | 16.5070i | −0.487008 | + | 0.613054i | ||||
\(726\) | 2.67098 | − | 1.04828i | 0.0991292 | − | 0.0389054i | ||||
\(727\) | 16.4073 | + | 5.74115i | 0.608512 | + | 0.212928i | 0.616906 | − | 0.787037i | \(-0.288386\pi\) |
−0.00839354 | + | 0.999965i | \(0.502672\pi\) | |||||||
\(728\) | 6.50636 | + | 2.11479i | 0.241142 | + | 0.0783795i | ||||
\(729\) | 11.8415 | − | 24.5890i | 0.438572 | − | 0.910705i | ||||
\(730\) | 5.33554 | + | 15.2021i | 0.197477 | + | 0.562657i | ||||
\(731\) | −6.86880 | − | 22.2681i | −0.254052 | − | 0.823616i | ||||
\(732\) | −6.28357 | + | 1.18892i | −0.232247 | + | 0.0439436i | ||||
\(733\) | 9.37380 | − | 12.7010i | 0.346229 | − | 0.469124i | −0.596534 | − | 0.802588i | \(-0.703456\pi\) |
0.942763 | + | 0.333464i | \(0.108218\pi\) | |||||||
\(734\) | 11.8671 | 0.438023 | ||||||||
\(735\) | −14.6685 | + | 14.9114i | −0.541055 | + | 0.550016i | ||||
\(736\) | −8.72983 | −0.321786 | ||||||||
\(737\) | 2.94474 | − | 3.98998i | 0.108471 | − | 0.146973i | ||||
\(738\) | 7.17447 | − | 1.35748i | 0.264096 | − | 0.0499696i | ||||
\(739\) | −0.695841 | − | 2.25586i | −0.0255969 | − | 0.0829831i | 0.941873 | − | 0.335969i | \(-0.109064\pi\) |
−0.967470 | + | 0.252986i | \(0.918587\pi\) | |||||||
\(740\) | −18.0676 | − | 8.67992i | −0.664177 | − | 0.319080i | ||||
\(741\) | −7.59856 | + | 15.7786i | −0.279140 | + | 0.579641i | ||||
\(742\) | −6.05880 | + | 3.99847i | −0.222426 | + | 0.146789i | ||||
\(743\) | −15.3229 | − | 5.36171i | −0.562142 | − | 0.196702i | 0.0342247 | − | 0.999414i | \(-0.489104\pi\) |
−0.596367 | + | 0.802712i | \(0.703390\pi\) | |||||||
\(744\) | −11.1536 | + | 4.37748i | −0.408912 | + | 0.160486i | ||||
\(745\) | 9.80627 | + | 18.5121i | 0.359274 | + | 0.678232i | ||||
\(746\) | −8.17977 | + | 20.8417i | −0.299483 | + | 0.763069i | ||||
\(747\) | −1.58699 | − | 3.00272i | −0.0580648 | − | 0.109864i | ||||
\(748\) | 10.5043 | + | 1.18355i | 0.384076 | + | 0.0432750i | ||||
\(749\) | 45.4970 | + | 12.9285i | 1.66242 | + | 0.472397i | ||||
\(750\) | −7.98460 | − | 12.6281i | −0.291556 | − | 0.461112i | ||||
\(751\) | −1.79511 | + | 1.22388i | −0.0655044 | + | 0.0446602i | −0.595630 | − | 0.803259i | \(-0.703097\pi\) |
0.530125 | + | 0.847919i | \(0.322145\pi\) | |||||||
\(752\) | 1.04632 | + | 0.0391504i | 0.0381552 | + | 0.00142767i | ||||
\(753\) | 4.12341 | − | 15.3888i | 0.150265 | − | 0.560798i | ||||
\(754\) | −5.45131 | + | 9.44194i | −0.198525 | + | 0.343855i | ||||
\(755\) | −3.05651 | + | 2.26026i | −0.111238 | + | 0.0822591i | ||||
\(756\) | −12.4952 | − | 8.11631i | −0.454445 | − | 0.295187i | ||||
\(757\) | −17.3049 | − | 27.5406i | −0.628957 | − | 1.00098i | −0.997451 | − | 0.0713497i | \(-0.977269\pi\) |
0.368494 | − | 0.929630i | \(-0.379873\pi\) | |||||||
\(758\) | −1.03565 | − | 27.6783i | −0.0376164 | − | 1.00532i | ||||
\(759\) | −41.8270 | − | 6.30441i | −1.51822 | − | 0.228836i | ||||
\(760\) | −5.65709 | + | 9.81972i | −0.205204 | + | 0.356199i | ||||
\(761\) | −19.7266 | + | 21.2602i | −0.715089 | + | 0.770683i | −0.981145 | − | 0.193275i | \(-0.938089\pi\) |
0.266056 | + | 0.963958i | \(0.414280\pi\) | |||||||
\(762\) | −4.51606 | + | 2.83763i | −0.163600 | + | 0.102796i | ||||
\(763\) | 16.8709 | + | 4.11900i | 0.610768 | + | 0.149118i | ||||
\(764\) | 6.95824 | − | 1.58817i | 0.251740 | − | 0.0574581i | ||||
\(765\) | −6.18390 | + | 4.94103i | −0.223579 | + | 0.178643i | ||||
\(766\) | 15.0332 | − | 8.67942i | 0.543171 | − | 0.313600i | ||||
\(767\) | −0.277261 | + | 7.40996i | −0.0100113 | + | 0.267558i | ||||
\(768\) | 0.248439 | − | 1.31303i | 0.00896477 | − | 0.0473799i | ||||
\(769\) | −5.04017 | + | 6.32018i | −0.181753 | + | 0.227911i | −0.864359 | − | 0.502876i | \(-0.832275\pi\) |
0.682605 | + | 0.730787i | \(0.260847\pi\) | |||||||
\(770\) | 18.4239 | + | 10.9868i | 0.663951 | + | 0.395938i | ||||
\(771\) | −16.8529 | − | 21.1329i | −0.606943 | − | 0.761082i | ||||
\(772\) | −18.5226 | + | 9.78950i | −0.666644 | + | 0.352332i | ||||
\(773\) | −6.71780 | − | 15.3974i | −0.241622 | − | 0.553805i | 0.752923 | − | 0.658109i | \(-0.228643\pi\) |
−0.994545 | + | 0.104304i | \(0.966738\pi\) | |||||||
\(774\) | 9.67859 | − | 0.725310i | 0.347890 | − | 0.0260707i | ||||
\(775\) | −16.3001 | + | 41.7631i | −0.585517 | + | 1.50018i | ||||
\(776\) | 5.44912 | + | 11.3152i | 0.195612 | + | 0.406193i | ||||
\(777\) | 21.9046 | − | 22.9056i | 0.785823 | − | 0.821735i | ||||
\(778\) | −0.405088 | − | 1.15768i | −0.0145231 | − | 0.0415047i | ||||
\(779\) | 30.3920 | + | 2.27757i | 1.08891 | + | 0.0816024i | ||||
\(780\) | −5.04556 | − | 5.85189i | −0.180660 | − | 0.209531i | ||||
\(781\) | −40.9918 | − | 27.9477i | −1.46680 | − | 1.00005i | ||||
\(782\) | −20.4774 | − | 15.1130i | −0.732272 | − | 0.540441i | ||||
\(783\) | 16.7899 | − | 16.7899i | 0.600024 | − | 0.600024i | ||||
\(784\) | −4.52731 | + | 5.33886i | −0.161690 | + | 0.190674i | ||||
\(785\) | 1.13105 | − | 2.88988i | 0.0403690 | − | 0.103144i | ||||
\(786\) | 16.2589 | − | 2.45063i | 0.579935 | − | 0.0874111i | ||||
\(787\) | 2.21313 | + | 11.6967i | 0.0788897 | + | 0.416942i | 0.999641 | + | 0.0267921i | \(0.00852920\pi\) |
−0.920751 | + | 0.390150i | \(0.872423\pi\) | |||||||
\(788\) | −15.0897 | − | 7.97514i | −0.537549 | − | 0.284103i | ||||
\(789\) | −1.02826 | + | 13.7211i | −0.0366069 | + | 0.488485i | ||||
\(790\) | 16.8185 | − | 15.6348i | 0.598375 | − | 0.556260i | ||||
\(791\) | 0.523387 | − | 0.131824i | 0.0186095 | − | 0.00468712i | ||||
\(792\) | −1.45411 | + | 4.15560i | −0.0516695 | + | 0.147663i | ||||
\(793\) | −4.94847 | + | 11.3420i | −0.175725 | + | 0.402767i | ||||
\(794\) | −0.195091 | − | 2.60331i | −0.00692353 | − | 0.0923880i | ||||
\(795\) | 8.19261 | − | 0.314274i | 0.290562 | − | 0.0111461i | ||||
\(796\) | −5.70725 | + | 18.5025i | −0.202288 | + | 0.655802i | ||||
\(797\) | 2.76225 | − | 24.5156i | 0.0978438 | − | 0.868388i | −0.844912 | − | 0.534905i | \(-0.820347\pi\) |
0.942756 | − | 0.333483i | \(-0.108224\pi\) | |||||||
\(798\) | −11.9887 | − | 13.3175i | −0.424394 | − | 0.471436i | ||||
\(799\) | 2.38655 | + | 1.90321i | 0.0844301 | + | 0.0673308i | ||||
\(800\) | −2.97667 | − | 4.01739i | −0.105241 | − | 0.142036i | ||||
\(801\) | −2.22414 | − | 2.39706i | −0.0785862 | − | 0.0846958i | ||||
\(802\) | −20.0238 | − | 5.36537i | −0.707066 | − | 0.189458i | ||||
\(803\) | 6.76172 | + | 25.2351i | 0.238616 | + | 0.890527i | ||||
\(804\) | −0.406687 | − | 1.78181i | −0.0143427 | − | 0.0628396i | ||||
\(805\) | −25.1890 | − | 45.0873i | −0.887795 | − | 1.58912i | ||||
\(806\) | −5.15918 | + | 22.6038i | −0.181724 | + | 0.796186i | ||||
\(807\) | −3.15788 | + | 0.118160i | −0.111163 | + | 0.00415942i | ||||
\(808\) | 10.2440 | − | 7.56045i | 0.360384 | − | 0.265976i | ||||
\(809\) | −2.78274 | + | 18.4622i | −0.0978358 | + | 0.649098i | 0.885135 | + | 0.465335i | \(0.154066\pi\) |
−0.982971 | + | 0.183763i | \(0.941172\pi\) | |||||||
\(810\) | 3.77460 | + | 7.81920i | 0.132626 | + | 0.274739i | ||||
\(811\) | −39.1478 | − | 8.93523i | −1.37467 | − | 0.313759i | −0.529521 | − | 0.848297i | \(-0.677628\pi\) |
−0.845144 | + | 0.534538i | \(0.820486\pi\) | |||||||
\(812\) | −6.82306 | − | 8.82537i | −0.239443 | − | 0.309710i | ||||
\(813\) | −17.5826 | + | 27.9826i | −0.616649 | + | 0.981392i | ||||
\(814\) | −28.1485 | − | 16.2515i | −0.986603 | − | 0.569616i | ||||
\(815\) | 6.37914 | − | 0.967647i | 0.223452 | − | 0.0338952i | ||||
\(816\) | 2.85587 | − | 2.64986i | 0.0999756 | − | 0.0927638i | ||||
\(817\) | 39.8050 | + | 7.53152i | 1.39260 | + | 0.263494i | ||||
\(818\) | −3.80824 | − | 33.7991i | −0.133152 | − | 1.18176i | ||||
\(819\) | −7.66309 | + | 3.20685i | −0.267770 | + | 0.112056i | ||||
\(820\) | −6.27198 | + | 11.8943i | −0.219027 | + | 0.415366i | ||||
\(821\) | 24.2482 | + | 7.47957i | 0.846267 | + | 0.261039i | 0.687416 | − | 0.726264i | \(-0.258745\pi\) |
0.158851 | + | 0.987303i | \(0.449221\pi\) | |||||||
\(822\) | 19.6159 | − | 8.55833i | 0.684183 | − | 0.298506i | ||||
\(823\) | 13.8705 | − | 16.1179i | 0.483496 | − | 0.561833i | −0.462245 | − | 0.886752i | \(-0.652956\pi\) |
0.945742 | + | 0.324919i | \(0.105337\pi\) | |||||||
\(824\) | 4.35614 | + | 11.0993i | 0.151753 | + | 0.386661i | ||||
\(825\) | −11.3608 | − | 21.3981i | −0.395534 | − | 0.744986i | ||||
\(826\) | −6.90749 | − | 3.13840i | −0.240342 | − | 0.109199i | ||||
\(827\) | 44.7931 | − | 15.6738i | 1.55761 | − | 0.545031i | 0.592204 | − | 0.805788i | \(-0.298258\pi\) |
0.965404 | + | 0.260757i | \(0.0839721\pi\) | |||||||
\(828\) | 8.03449 | − | 6.91424i | 0.279218 | − | 0.240286i | ||||
\(829\) | 5.04311 | − | 1.55559i | 0.175155 | − | 0.0540280i | −0.205937 | − | 0.978565i | \(-0.566024\pi\) |
0.381092 | + | 0.924537i | \(0.375548\pi\) | |||||||
\(830\) | 6.14654 | + | 1.15699i | 0.213350 | + | 0.0401598i | ||||
\(831\) | −1.50442 | − | 9.98121i | −0.0521879 | − | 0.346244i | ||||
\(832\) | −1.82845 | − | 1.82845i | −0.0633900 | − | 0.0633900i | ||||
\(833\) | −19.8623 | + | 4.68564i | −0.688187 | + | 0.162348i | ||||
\(834\) | − | 6.76325i | − | 0.234192i | ||||||
\(835\) | 11.6544 | − | 51.2840i | 0.403318 | − | 1.77476i | ||||
\(836\) | −10.3519 | + | 15.1834i | −0.358027 | + | 0.525129i | ||||
\(837\) | 23.5944 | − | 44.6429i | 0.815543 | − | 1.54308i | ||||
\(838\) | −10.1636 | − | 11.8103i | −0.351096 | − | 0.407981i | ||||
\(839\) | −22.5053 | − | 10.8380i | −0.776970 | − | 0.374169i | 0.00299255 | − | 0.999996i | \(-0.499047\pi\) |
−0.779962 | + | 0.625827i | \(0.784762\pi\) | |||||||
\(840\) | 7.49831 | − | 2.50549i | 0.258716 | − | 0.0864476i | ||||
\(841\) | −10.1113 | + | 4.86933i | −0.348665 | + | 0.167908i | ||||
\(842\) | 2.91456 | + | 1.27161i | 0.100442 | + | 0.0438225i | ||||
\(843\) | −10.5310 | − | 9.06265i | −0.362706 | − | 0.312134i | ||||
\(844\) | −23.2638 | − | 9.13038i | −0.800774 | − | 0.314280i | ||||
\(845\) | 14.0273 | − | 1.59388i | 0.482554 | − | 0.0548311i | ||||
\(846\) | −0.993984 | + | 0.792675i | −0.0341739 | + | 0.0272527i | ||||
\(847\) | 4.64502 | + | 3.27049i | 0.159605 | + | 0.112375i | ||||
\(848\) | 2.72649 | − | 0.307202i | 0.0936281 | − | 0.0105494i | ||||
\(849\) | 1.37959 | + | 2.02349i | 0.0473475 | + | 0.0694461i | ||||
\(850\) | −0.0274608 | − | 14.5767i | −0.000941897 | − | 0.499978i | ||||
\(851\) | 39.1276 | + | 67.7711i | 1.34128 | + | 2.32316i | ||||
\(852\) | −17.6617 | + | 4.73243i | −0.605079 | + | 0.162130i | ||||
\(853\) | 9.26257 | + | 5.82006i | 0.317144 | + | 0.199275i | 0.681191 | − | 0.732106i | \(-0.261462\pi\) |
−0.364047 | + | 0.931381i | \(0.618605\pi\) | |||||||
\(854\) | −8.81705 | − | 9.08678i | −0.301713 | − | 0.310943i | ||||
\(855\) | −2.57096 | − | 13.5181i | −0.0879250 | − | 0.462310i | ||||
\(856\) | −13.1048 | − | 12.1595i | −0.447913 | − | 0.415603i | ||||
\(857\) | −9.36348 | − | 12.6871i | −0.319851 | − | 0.433382i | 0.614944 | − | 0.788571i | \(-0.289179\pi\) |
−0.934795 | + | 0.355189i | \(0.884417\pi\) | |||||||
\(858\) | −7.44015 | − | 10.0810i | −0.254003 | − | 0.344161i | ||||
\(859\) | −14.0028 | − | 12.9927i | −0.477769 | − | 0.443305i | 0.404159 | − | 0.914689i | \(-0.367564\pi\) |
−0.881928 | + | 0.471384i | \(0.843755\pi\) | |||||||
\(860\) | −10.0547 | + | 14.7774i | −0.342861 | + | 0.503905i | ||||
\(861\) | −14.8059 | − | 15.2588i | −0.504582 | − | 0.520018i | ||||
\(862\) | 20.2211 | + | 12.7058i | 0.688733 | + | 0.432760i | ||||
\(863\) | −21.3470 | + | 5.71991i | −0.726661 | + | 0.194708i | −0.603142 | − | 0.797634i | \(-0.706085\pi\) |
−0.123519 | + | 0.992342i | \(0.539418\pi\) | |||||||
\(864\) | 2.81580 | + | 4.87710i | 0.0957953 | + | 0.165922i | ||||
\(865\) | −12.1230 | + | 4.77113i | −0.412196 | + | 0.162223i | ||||
\(866\) | 0.659866 | + | 0.967845i | 0.0224232 | + | 0.0328887i | ||||
\(867\) | −11.2883 | + | 1.27189i | −0.383371 | + | 0.0431956i | ||||
\(868\) | −19.3970 | − | 13.6571i | −0.658376 | − | 0.463553i | ||||
\(869\) | 29.1123 | − | 23.2163i | 0.987566 | − | 0.787558i | ||||
\(870\) | 1.42242 | + | 12.5183i | 0.0482245 | + | 0.424411i | ||||
\(871\) | −3.29203 | − | 1.29203i | −0.111546 | − | 0.0437787i | ||||
\(872\) | −4.97525 | − | 4.28155i | −0.168483 | − | 0.144992i | ||||
\(873\) | −13.9770 | − | 6.09811i | −0.473050 | − | 0.206390i | ||||
\(874\) | 39.8624 | − | 19.1967i | 1.34836 | − | 0.649338i | ||||
\(875\) | 12.1599 | − | 26.9655i | 0.411079 | − | 0.911600i | ||||
\(876\) | 8.67497 | + | 4.17764i | 0.293100 | + | 0.141150i | ||||
\(877\) | 12.2598 | + | 14.2462i | 0.413986 | + | 0.481060i | 0.925788 | − | 0.378043i | \(-0.123403\pi\) |
−0.511802 | + | 0.859103i | \(0.671022\pi\) | |||||||
\(878\) | −4.57998 | + | 8.66575i | −0.154567 | + | 0.292455i | ||||
\(879\) | −1.55981 | + | 2.28783i | −0.0526112 | + | 0.0771665i | ||||
\(880\) | −4.32006 | − | 6.86097i | −0.145629 | − | 0.231283i | ||||
\(881\) | − | 17.7703i | − | 0.598696i | −0.954144 | − | 0.299348i | \(-0.903231\pi\) | ||
0.954144 | − | 0.299348i | \(-0.0967691\pi\) | |||||||
\(882\) | −0.0618052 | − | 8.49936i | −0.00208109 | − | 0.286188i | ||||
\(883\) | 1.73190 | + | 1.73190i | 0.0582829 | + | 0.0582829i | 0.735648 | − | 0.677365i | \(-0.236878\pi\) |
−0.677365 | + | 0.735648i | \(0.736878\pi\) | |||||||
\(884\) | −1.12356 | − | 7.45436i | −0.0377896 | − | 0.250717i | ||||
\(885\) | 4.83365 | + | 7.07533i | 0.162481 | + | 0.237835i | ||||
\(886\) | 20.9559 | − | 6.46404i | 0.704028 | − | 0.217164i | ||||
\(887\) | −3.50700 | + | 3.01802i | −0.117754 | + | 0.101335i | −0.709193 | − | 0.705014i | \(-0.750941\pi\) |
0.591440 | + | 0.806349i | \(0.298560\pi\) | |||||||
\(888\) | −11.3068 | + | 3.95642i | −0.379431 | + | 0.132769i | ||||
\(889\) | −9.61395 | − | 4.36807i | −0.322442 | − | 0.146500i | ||||
\(890\) | 6.00457 | − | 0.455668i | 0.201274 | − | 0.0152740i | ||||
\(891\) | 5.14374 | + | 13.1060i | 0.172322 | + | 0.439069i | ||||
\(892\) | 6.32502 | − | 7.34981i | 0.211777 | − | 0.246090i | ||||
\(893\) | −4.86380 | + | 2.12206i | −0.162761 | + | 0.0710119i | ||||
\(894\) | 11.9634 | + | 3.69023i | 0.400117 | + | 0.123420i | ||||
\(895\) | −44.6707 | − | 23.5554i | −1.49318 | − | 0.787369i | ||||
\(896\) | 2.44066 | − | 1.02137i | 0.0815367 | − | 0.0341214i | ||||
\(897\) | 3.37751 | + | 29.9762i | 0.112772 | + | 1.00088i | ||||
\(898\) | −10.0188 | − | 1.89566i | −0.334332 | − | 0.0632591i | ||||
\(899\) | 27.7128 | − | 25.7137i | 0.924273 | − | 0.857600i | ||||
\(900\) | 5.92145 | + | 1.33980i | 0.197382 | + | 0.0446600i | ||||
\(901\) | 6.92732 | + | 3.99949i | 0.230783 | + | 0.133242i | ||||
\(902\) | −11.6006 | + | 18.4623i | −0.386259 | + | 0.614728i | ||||
\(903\) | −17.2857 | − | 22.3584i | −0.575233 | − | 0.744041i | ||||
\(904\) | −0.198885 | − | 0.0453942i | −0.00661482 | − | 0.00150979i | ||||
\(905\) | 29.8890 | + | 10.4270i | 0.993544 | + | 0.346606i | ||||
\(906\) | −0.338600 | + | 2.24646i | −0.0112492 | + | 0.0746337i | ||||
\(907\) | −41.1958 | + | 30.4039i | −1.36788 | + | 1.00954i | −0.371167 | + | 0.928566i | \(0.621042\pi\) |
−0.996716 | + | 0.0809775i | \(0.974196\pi\) | |||||||
\(908\) | 25.2123 | − | 0.943378i | 0.836700 | − | 0.0313071i | ||||
\(909\) | −3.44004 | + | 15.0718i | −0.114099 | + | 0.499900i | ||||
\(910\) | 4.16766 | − | 14.7192i | 0.138157 | − | 0.487938i | ||||
\(911\) | 7.65379 | + | 33.5334i | 0.253581 | + | 1.11101i | 0.927976 | + | 0.372641i | \(0.121548\pi\) |
−0.674394 | + | 0.738371i | \(0.735595\pi\) | |||||||
\(912\) | 1.75290 | + | 6.54191i | 0.0580443 | + | 0.216624i | ||||
\(913\) | 9.79640 | + | 2.62494i | 0.324214 | + | 0.0868727i | ||||
\(914\) | 1.50534 | + | 1.62237i | 0.0497922 | + | 0.0536632i | ||||
\(915\) | 3.19513 | + | 13.9383i | 0.105628 | + | 0.460784i | ||||
\(916\) | 11.8959 | + | 9.48670i | 0.393053 | + | 0.313449i | ||||
\(917\) | 21.7804 | + | 24.1946i | 0.719251 | + | 0.798976i | ||||
\(918\) | −1.83824 | + | 16.3148i | −0.0606710 | + | 0.538470i | ||||
\(919\) | 6.70492 | − | 21.7368i | 0.221175 | − | 0.717032i | −0.775181 | − | 0.631739i | \(-0.782341\pi\) |
0.996356 | − | 0.0852924i | \(-0.0271824\pi\) | |||||||
\(920\) | 0.748268 | + | 19.5061i | 0.0246697 | + | 0.643098i | ||||
\(921\) | −1.78489 | − | 23.8177i | −0.0588142 | − | 0.784821i | ||||
\(922\) | −7.48128 | + | 17.1473i | −0.246383 | + | 0.564715i | ||||
\(923\) | −11.6857 | + | 33.3957i | −0.384638 | + | 1.09923i | ||||
\(924\) | 12.4315 | − | 3.13108i | 0.408965 | − | 0.103005i | ||||
\(925\) | −17.8460 | + | 41.1146i | −0.586773 | + | 1.35184i | ||||
\(926\) | 0.779150 | − | 10.3970i | 0.0256045 | − | 0.341668i | ||||
\(927\) | −12.8001 | − | 6.76503i | −0.420409 | − | 0.222193i | ||||
\(928\) | 0.783862 | + | 4.14281i | 0.0257315 | + | 0.135994i | ||||
\(929\) | −17.0544 | + | 2.57053i | −0.559536 | + | 0.0843364i | −0.422720 | − | 0.906260i | \(-0.638925\pi\) |
−0.136815 | + | 0.990597i | \(0.543687\pi\) | |||||||
\(930\) | 10.7372 | + | 24.5467i | 0.352085 | + | 0.804919i | ||||
\(931\) | 8.93267 | − | 34.3339i | 0.292757 | − | 1.12525i | ||||
\(932\) | −17.7863 | + | 17.7863i | −0.582610 | + | 0.582610i | ||||
\(933\) | 5.66342 | + | 4.17979i | 0.185412 | + | 0.136840i | ||||
\(934\) | 20.9146 | + | 14.2593i | 0.684347 | + | 0.466580i | ||||
\(935\) | 1.74419 | − | 23.5726i | 0.0570412 | − | 0.770905i | ||||
\(936\) | 3.13098 | + | 0.234635i | 0.102339 | + | 0.00766928i | ||||
\(937\) | −18.8871 | − | 53.9761i | −0.617013 | − | 1.76332i | −0.645536 | − | 0.763730i | \(-0.723366\pi\) |
0.0285227 | − | 0.999593i | \(-0.490920\pi\) | |||||||
\(938\) | 2.50086 | − | 2.61515i | 0.0816560 | − | 0.0853877i | ||||
\(939\) | −1.33253 | − | 2.76702i | −0.0434854 | − | 0.0902984i | ||||
\(940\) | −0.00220533 | − | 2.34127i | −7.19299e−5 | − | 0.0763638i | ||||
\(941\) | 36.1812 | − | 2.71141i | 1.17947 | − | 0.0883894i | 0.529476 | − | 0.848325i | \(-0.322389\pi\) |
0.649999 | + | 0.759935i | \(0.274769\pi\) | |||||||
\(942\) | −0.741651 | − | 1.69988i | −0.0241643 | − | 0.0553852i | ||||
\(943\) | 46.4133 | − | 24.5302i | 1.51143 | − | 0.798812i | ||||
\(944\) | 1.78793 | + | 2.24200i | 0.0581923 | + | 0.0729709i | ||||
\(945\) | −17.0643 | + | 28.6152i | −0.555101 | + | 0.930852i | ||||
\(946\) | −18.0707 | + | 22.6599i | −0.587528 | + | 0.736736i | ||||
\(947\) | 0.769878 | − | 4.06890i | 0.0250177 | − | 0.132222i | −0.967831 | − | 0.251601i | \(-0.919043\pi\) |
0.992849 | + | 0.119380i | \(0.0380905\pi\) | |||||||
\(948\) | 0.513132 | − | 13.7138i | 0.0166658 | − | 0.445402i | ||||
\(949\) | 16.1351 | − | 9.31563i | 0.523769 | − | 0.302398i | ||||
\(950\) | 22.4263 | + | 11.7987i | 0.727606 | + | 0.382799i | ||||
\(951\) | 22.5790 | − | 5.15350i | 0.732173 | − | 0.167114i | ||||
\(952\) | 7.49320 | + | 1.82945i | 0.242856 | + | 0.0592929i | ||||
\(953\) | −38.9970 | + | 24.5034i | −1.26324 | + | 0.793745i | −0.985950 | − | 0.167042i | \(-0.946578\pi\) |
−0.277287 | + | 0.960787i | \(0.589435\pi\) | |||||||
\(954\) | −2.26601 | + | 2.44218i | −0.0733649 | + | 0.0790685i | ||||
\(955\) | −4.14507 | − | 15.4115i | −0.134131 | − | 0.498705i | ||||
\(956\) | −17.5730 | − | 2.64871i | −0.568352 | − | 0.0856653i | ||||
\(957\) | 0.763892 | + | 20.4154i | 0.0246931 | + | 0.659937i | ||||
\(958\) | −1.30799 | − | 2.08165i | −0.0422591 | − | 0.0672550i | ||||
\(959\) | 35.5340 | + | 23.0813i | 1.14745 | + | 0.745334i | ||||
\(960\) | −2.95516 | − | 0.442573i | −0.0953775 | − | 0.0142840i | ||||
\(961\) | 24.6971 | − | 42.7766i | 0.796679 | − | 1.37989i | ||||
\(962\) | −5.99931 | + | 22.3897i | −0.193426 | + | 0.721874i | ||||
\(963\) | 21.6916 | + | 0.811643i | 0.699002 | + | 0.0261548i | ||||
\(964\) | −9.26692 | + | 6.31808i | −0.298467 | + | 0.203492i | ||||
\(965\) | 23.4615 | + | 40.5483i | 0.755254 | + | 1.30530i | ||||
\(966\) | −29.6897 | − | 8.43667i | −0.955250 | − | 0.271445i | ||||
\(967\) | 41.1050 | + | 4.63142i | 1.32185 | + | 0.148937i | 0.744534 | − | 0.667585i | \(-0.232672\pi\) |
0.577315 | + | 0.816522i | \(0.304100\pi\) | |||||||
\(968\) | −1.00330 | − | 1.89834i | −0.0322474 | − | 0.0610151i | ||||
\(969\) | −7.21357 | + | 18.3799i | −0.231733 | + | 0.590447i | ||||
\(970\) | 24.8159 | − | 13.1455i | 0.796791 | − | 0.422077i | ||||
\(971\) | 37.9442 | − | 14.8920i | 1.21769 | − | 0.477908i | 0.332484 | − | 0.943109i | \(-0.392113\pi\) |
0.885205 | + | 0.465201i | \(0.154018\pi\) | |||||||
\(972\) | −11.0489 | − | 3.86619i | −0.354395 | − | 0.124008i | ||||
\(973\) | 11.1760 | − | 7.37553i | 0.358286 | − | 0.236449i | ||||
\(974\) | 15.1152 | − | 31.3871i | 0.484323 | − | 1.00571i | ||||
\(975\) | −12.6431 | + | 11.7755i | −0.404904 | + | 0.377118i | ||||
\(976\) | 1.41056 | + | 4.57293i | 0.0451510 | + | 0.146376i | ||||
\(977\) | −28.0231 | + | 5.30226i | −0.896540 | + | 0.169634i | −0.613706 | − | 0.789535i | \(-0.710322\pi\) |
−0.282834 | + | 0.959169i | \(0.591274\pi\) | |||||||
\(978\) | 2.28974 | − | 3.10248i | 0.0732177 | − | 0.0992064i | ||||
\(979\) | 9.76472 | 0.312082 | ||||||||
\(980\) | 12.3173 | + | 9.65832i | 0.393463 | + | 0.308524i | ||||
\(981\) | 7.97007 | 0.254465 | ||||||||
\(982\) | −1.67466 | + | 2.26909i | −0.0534407 | + | 0.0724096i | ||||
\(983\) | −6.07382 | + | 1.14923i | −0.193725 | + | 0.0366547i | −0.281868 | − | 0.959453i | \(-0.590954\pi\) |
0.0881437 | + | 0.996108i | \(0.471907\pi\) | |||||||
\(984\) | 2.36866 | + | 7.67901i | 0.0755102 | + | 0.244798i | ||||
\(985\) | −16.5265 | + | 34.4004i | −0.526577 | + | 1.09609i | ||||
\(986\) | −5.33332 | + | 11.0748i | −0.169848 | + | 0.352692i | ||||
\(987\) | 3.52063 | + | 1.14433i | 0.112063 | + | 0.0364243i | ||||
\(988\) | 12.3698 | + | 4.32839i | 0.393536 | + | 0.137704i | ||||
\(989\) | 64.9568 | − | 25.4937i | 2.06551 | − | 0.810652i | ||||
\(990\) | 9.41002 | + | 2.89290i | 0.299070 | + | 0.0919425i | ||||
\(991\) | 2.02911 | − | 5.17009i | 0.0644568 | − | 0.164233i | −0.895016 | − | 0.446033i | \(-0.852836\pi\) |
0.959473 | + | 0.281800i | \(0.0909315\pi\) | |||||||
\(992\) | 4.18966 | + | 7.92722i | 0.133022 | + | 0.251690i | ||||
\(993\) | 38.5905 | + | 4.34810i | 1.22463 | + | 0.137983i | ||||
\(994\) | −27.0807 | − | 24.0243i | −0.858948 | − | 0.762004i | ||||
\(995\) | 41.8315 | + | 11.1665i | 1.32615 | + | 0.354002i | ||||
\(996\) | 3.08834 | − | 2.10560i | 0.0978579 | − | 0.0667184i | ||||
\(997\) | 20.8132 | + | 0.778774i | 0.659160 | + | 0.0246640i | 0.364879 | − | 0.931055i | \(-0.381110\pi\) |
0.294281 | + | 0.955719i | \(0.404920\pi\) | |||||||
\(998\) | 1.42457 | − | 5.31656i | 0.0450939 | − | 0.168293i | ||||
\(999\) | 25.2411 | − | 43.7190i | 0.798595 | − | 1.38321i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 490.2.w.a.103.10 | ✓ | 672 | |
5.2 | odd | 4 | inner | 490.2.w.a.397.5 | yes | 672 | |
49.10 | odd | 42 | inner | 490.2.w.a.353.5 | yes | 672 | |
245.157 | even | 84 | inner | 490.2.w.a.157.10 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.w.a.103.10 | ✓ | 672 | 1.1 | even | 1 | trivial | |
490.2.w.a.157.10 | yes | 672 | 245.157 | even | 84 | inner | |
490.2.w.a.353.5 | yes | 672 | 49.10 | odd | 42 | inner | |
490.2.w.a.397.5 | yes | 672 | 5.2 | odd | 4 | inner |