Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [136,2,Mod(3,136)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(136, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 8, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("136.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 136 = 2^{3} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 136.s (of order \(16\), degree \(8\), 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: | \(1.08596546749\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 107.8 | ||
Character | \(\chi\) | \(=\) | 136.107 |
Dual form | 136.2.s.c.75.8 |
$q$-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 \(\left(\mathbb{Z}/136\mathbb{Z}\right)^\times\).
\(n\) | \(69\) | \(103\) | \(105\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0241236 | + | 1.41401i | −0.0170580 | + | 0.999855i | ||||
\(3\) | −1.25761 | − | 1.88214i | −0.726080 | − | 1.08666i | −0.992434 | − | 0.122780i | \(-0.960819\pi\) |
0.266354 | − | 0.963875i | \(-0.414181\pi\) | |||||||
\(4\) | −1.99884 | − | 0.0682220i | −0.999418 | − | 0.0341110i | ||||
\(5\) | −1.55757 | − | 0.309820i | −0.696566 | − | 0.138556i | −0.165907 | − | 0.986141i | \(-0.553055\pi\) |
−0.530658 | + | 0.847586i | \(0.678055\pi\) | |||||||
\(6\) | 2.69170 | − | 1.73286i | 1.09888 | − | 0.707438i | ||||
\(7\) | −3.91750 | + | 0.779239i | −1.48068 | + | 0.294525i | −0.868299 | − | 0.496042i | \(-0.834786\pi\) |
−0.612376 | + | 0.790566i | \(0.709786\pi\) | |||||||
\(8\) | 0.144686 | − | 2.82472i | 0.0511541 | − | 0.998691i | ||||
\(9\) | −0.812832 | + | 1.96235i | −0.270944 | + | 0.654117i | ||||
\(10\) | 0.475662 | − | 2.19494i | 0.150417 | − | 0.694101i | ||||
\(11\) | −2.04236 | − | 1.36466i | −0.615793 | − | 0.411460i | 0.208178 | − | 0.978091i | \(-0.433247\pi\) |
−0.823972 | + | 0.566631i | \(0.808247\pi\) | |||||||
\(12\) | 2.38535 | + | 3.84789i | 0.688590 | + | 1.11079i | ||||
\(13\) | 1.67634 | − | 1.67634i | 0.464934 | − | 0.464934i | −0.435335 | − | 0.900269i | \(-0.643370\pi\) |
0.900269 | + | 0.435335i | \(0.143370\pi\) | |||||||
\(14\) | −1.00735 | − | 5.55817i | −0.269224 | − | 1.48548i | ||||
\(15\) | 1.37568 | + | 3.32120i | 0.355200 | + | 0.857529i | ||||
\(16\) | 3.99069 | + | 0.272729i | 0.997673 | + | 0.0681823i | ||||
\(17\) | −0.0531197 | + | 4.12276i | −0.0128834 | + | 0.999917i | ||||
\(18\) | −2.75517 | − | 1.19669i | −0.649400 | − | 0.282062i | ||||
\(19\) | −1.36178 | − | 3.28763i | −0.312414 | − | 0.754233i | −0.999614 | − | 0.0277659i | \(-0.991161\pi\) |
0.687201 | − | 0.726468i | \(-0.258839\pi\) | |||||||
\(20\) | 3.09219 | + | 0.725539i | 0.691434 | + | 0.162235i | ||||
\(21\) | 6.39331 | + | 6.39331i | 1.39513 | + | 1.39513i | ||||
\(22\) | 1.97891 | − | 2.85499i | 0.421904 | − | 0.608685i | ||||
\(23\) | 5.72685 | + | 3.82656i | 1.19413 | + | 0.797893i | 0.983718 | − | 0.179719i | \(-0.0575190\pi\) |
0.210413 | + | 0.977612i | \(0.432519\pi\) | |||||||
\(24\) | −5.49849 | + | 3.28007i | −1.12237 | + | 0.669542i | ||||
\(25\) | −2.28937 | − | 0.948286i | −0.457873 | − | 0.189657i | ||||
\(26\) | 2.32992 | + | 2.41080i | 0.456935 | + | 0.472797i | ||||
\(27\) | −1.94477 | + | 0.386838i | −0.374271 | + | 0.0744471i | ||||
\(28\) | 7.88360 | − | 1.29031i | 1.48986 | − | 0.243846i | ||||
\(29\) | 0.362301 | − | 1.82141i | 0.0672775 | − | 0.338227i | −0.932457 | − | 0.361282i | \(-0.882339\pi\) |
0.999734 | + | 0.0230549i | \(0.00733924\pi\) | |||||||
\(30\) | −4.72938 | + | 1.86511i | −0.863463 | + | 0.340521i | ||||
\(31\) | −5.41149 | − | 8.09887i | −0.971933 | − | 1.45460i | −0.888926 | − | 0.458051i | \(-0.848548\pi\) |
−0.0830072 | − | 0.996549i | \(-0.526452\pi\) | |||||||
\(32\) | −0.481911 | + | 5.63629i | −0.0851906 | + | 0.996365i | ||||
\(33\) | 5.56021i | 0.967907i | ||||||||
\(34\) | −5.82834 | − | 0.174568i | −0.999552 | − | 0.0299381i | ||||
\(35\) | 6.34320 | 1.07220 | ||||||||
\(36\) | 1.75859 | − | 3.86696i | 0.293099 | − | 0.644494i | ||||
\(37\) | −5.16270 | + | 3.44961i | −0.848743 | + | 0.567112i | −0.902131 | − | 0.431462i | \(-0.857998\pi\) |
0.0533879 | + | 0.998574i | \(0.482998\pi\) | |||||||
\(38\) | 4.68158 | − | 1.84626i | 0.759453 | − | 0.299503i | ||||
\(39\) | −5.26329 | − | 1.04693i | −0.842801 | − | 0.167644i | ||||
\(40\) | −1.10051 | + | 4.35488i | −0.174006 | + | 0.688566i | ||||
\(41\) | −0.977918 | − | 4.91633i | −0.152725 | − | 0.767801i | −0.978892 | − | 0.204376i | \(-0.934483\pi\) |
0.826167 | − | 0.563425i | \(-0.190517\pi\) | |||||||
\(42\) | −9.19442 | + | 8.88596i | −1.41873 | + | 1.37113i | ||||
\(43\) | −1.08459 | + | 2.61842i | −0.165398 | + | 0.399306i | −0.984748 | − | 0.173988i | \(-0.944335\pi\) |
0.819350 | + | 0.573294i | \(0.194335\pi\) | |||||||
\(44\) | 3.98923 | + | 2.86706i | 0.601400 | + | 0.432226i | ||||
\(45\) | 1.87402 | − | 2.80466i | 0.279362 | − | 0.418095i | ||||
\(46\) | −5.54894 | + | 8.00550i | −0.818146 | + | 1.18035i | ||||
\(47\) | 2.87182 | − | 2.87182i | 0.418898 | − | 0.418898i | −0.465926 | − | 0.884824i | \(-0.654279\pi\) |
0.884824 | + | 0.465926i | \(0.154279\pi\) | |||||||
\(48\) | −4.50541 | − | 7.85403i | −0.650299 | − | 1.13363i | ||||
\(49\) | 8.27242 | − | 3.42655i | 1.18177 | − | 0.489507i | ||||
\(50\) | 1.39611 | − | 3.21431i | 0.197440 | − | 0.454571i | ||||
\(51\) | 7.82643 | − | 5.08484i | 1.09592 | − | 0.712020i | ||||
\(52\) | −3.46510 | + | 3.23637i | −0.480523 | + | 0.448804i | ||||
\(53\) | −3.16997 | + | 1.31304i | −0.435428 | + | 0.180360i | −0.589620 | − | 0.807681i | \(-0.700723\pi\) |
0.154192 | + | 0.988041i | \(0.450723\pi\) | |||||||
\(54\) | −0.500078 | − | 2.75925i | −0.0680520 | − | 0.375486i | ||||
\(55\) | 2.75831 | + | 2.75831i | 0.371930 | + | 0.371930i | ||||
\(56\) | 1.63433 | + | 11.1786i | 0.218396 | + | 1.49380i | ||||
\(57\) | −4.47520 | + | 6.69761i | −0.592754 | + | 0.887120i | ||||
\(58\) | 2.56674 | + | 0.556235i | 0.337030 | + | 0.0730372i | ||||
\(59\) | 6.57678 | + | 2.72419i | 0.856224 | + | 0.354660i | 0.767230 | − | 0.641372i | \(-0.221635\pi\) |
0.0889946 | + | 0.996032i | \(0.471635\pi\) | |||||||
\(60\) | −2.52319 | − | 6.73238i | −0.325742 | − | 0.869146i | ||||
\(61\) | −1.72880 | − | 8.69128i | −0.221351 | − | 1.11280i | −0.918361 | − | 0.395744i | \(-0.870487\pi\) |
0.697010 | − | 0.717061i | \(-0.254513\pi\) | |||||||
\(62\) | 11.5824 | − | 7.45652i | 1.47097 | − | 0.946979i | ||||
\(63\) | 1.65513 | − | 8.32089i | 0.208527 | − | 1.04833i | ||||
\(64\) | −7.95813 | − | 0.817393i | −0.994767 | − | 0.102174i | ||||
\(65\) | −3.13038 | + | 2.09165i | −0.388276 | + | 0.259438i | ||||
\(66\) | −7.86217 | − | 0.134132i | −0.967767 | − | 0.0165105i | ||||
\(67\) | − | 6.11894i | − | 0.747548i | −0.927520 | − | 0.373774i | \(-0.878064\pi\) | ||
0.927520 | − | 0.373774i | \(-0.121936\pi\) | |||||||
\(68\) | 0.387441 | − | 8.23710i | 0.0469841 | − | 0.998896i | ||||
\(69\) | − | 15.5911i | − | 1.87694i | ||||||
\(70\) | −0.153021 | + | 8.96933i | −0.0182895 | + | 1.07204i | ||||
\(71\) | 5.58989 | − | 3.73504i | 0.663398 | − | 0.443268i | −0.177749 | − | 0.984076i | \(-0.556881\pi\) |
0.841146 | + | 0.540808i | \(0.181881\pi\) | |||||||
\(72\) | 5.42549 | + | 2.57995i | 0.639400 | + | 0.304050i | ||||
\(73\) | 2.78015 | − | 13.9768i | 0.325392 | − | 1.63586i | −0.378538 | − | 0.925586i | \(-0.623573\pi\) |
0.703930 | − | 0.710270i | \(-0.251427\pi\) | |||||||
\(74\) | −4.75323 | − | 7.38332i | −0.552552 | − | 0.858294i | ||||
\(75\) | 1.09431 | + | 5.50148i | 0.126360 | + | 0.635256i | ||||
\(76\) | 2.49769 | + | 6.66433i | 0.286504 | + | 0.764451i | ||||
\(77\) | 9.06432 | + | 3.75456i | 1.03297 | + | 0.427872i | ||||
\(78\) | 1.60734 | − | 7.41708i | 0.181996 | − | 0.839819i | ||||
\(79\) | −7.05875 | + | 10.5642i | −0.794171 | + | 1.18856i | 0.184440 | + | 0.982844i | \(0.440953\pi\) |
−0.978611 | + | 0.205717i | \(0.934047\pi\) | |||||||
\(80\) | −6.13128 | − | 1.66119i | −0.685498 | − | 0.185727i | ||||
\(81\) | 7.67959 | + | 7.67959i | 0.853288 | + | 0.853288i | ||||
\(82\) | 6.97532 | − | 1.26418i | 0.770295 | − | 0.139606i | ||||
\(83\) | −16.0062 | + | 6.62999i | −1.75691 | + | 0.727736i | −0.759936 | + | 0.649998i | \(0.774770\pi\) |
−0.996974 | + | 0.0777381i | \(0.975230\pi\) | |||||||
\(84\) | −12.3430 | − | 13.2153i | −1.34673 | − | 1.44191i | ||||
\(85\) | 1.36005 | − | 6.40503i | 0.147518 | − | 0.694723i | ||||
\(86\) | −3.67631 | − | 1.59678i | −0.396426 | − | 0.172185i | ||||
\(87\) | −3.88378 | + | 1.60871i | −0.416385 | + | 0.172472i | ||||
\(88\) | −4.15028 | + | 5.57164i | −0.442422 | + | 0.593939i | ||||
\(89\) | 0.443072 | − | 0.443072i | 0.0469655 | − | 0.0469655i | −0.683234 | − | 0.730200i | \(-0.739427\pi\) |
0.730200 | + | 0.683234i | \(0.239427\pi\) | |||||||
\(90\) | 3.92061 | + | 2.71753i | 0.413268 | + | 0.286453i | ||||
\(91\) | −5.26080 | + | 7.87334i | −0.551481 | + | 0.825350i | ||||
\(92\) | −11.1860 | − | 8.03937i | −1.16622 | − | 0.838162i | ||||
\(93\) | −8.43769 | + | 20.3704i | −0.874948 | + | 2.11231i | ||||
\(94\) | 3.99149 | + | 4.13005i | 0.411691 | + | 0.425982i | ||||
\(95\) | 1.10249 | + | 5.54261i | 0.113113 | + | 0.568660i | ||||
\(96\) | 11.2144 | − | 6.18121i | 1.14456 | − | 0.630867i | ||||
\(97\) | 9.17174 | + | 1.82437i | 0.931249 | + | 0.185237i | 0.637328 | − | 0.770593i | \(-0.280040\pi\) |
0.293921 | + | 0.955830i | \(0.405040\pi\) | |||||||
\(98\) | 4.64561 | + | 11.7799i | 0.469277 | + | 1.18995i | ||||
\(99\) | 4.33803 | − | 2.89858i | 0.435988 | − | 0.291318i | ||||
\(100\) | 4.51137 | + | 2.05165i | 0.451137 | + | 0.205165i | ||||
\(101\) | −5.10512 | −0.507978 | −0.253989 | − | 0.967207i | \(-0.581743\pi\) | ||||
−0.253989 | + | 0.967207i | \(0.581743\pi\) | |||||||
\(102\) | 7.00120 | + | 11.1893i | 0.693222 | + | 1.10791i | ||||
\(103\) | − | 0.265102i | − | 0.0261212i | −0.999915 | − | 0.0130606i | \(-0.995843\pi\) | ||
0.999915 | − | 0.0130606i | \(-0.00415744\pi\) | |||||||
\(104\) | −4.49266 | − | 4.97775i | −0.440542 | − | 0.488108i | ||||
\(105\) | −7.97725 | − | 11.9388i | −0.778500 | − | 1.16511i | ||||
\(106\) | −1.78018 | − | 4.51403i | −0.172907 | − | 0.438442i | ||||
\(107\) | −1.02449 | + | 5.15045i | −0.0990410 | + | 0.497913i | 0.899142 | + | 0.437657i | \(0.144192\pi\) |
−0.998183 | + | 0.0602556i | \(0.980808\pi\) | |||||||
\(108\) | 3.91366 | − | 0.640551i | 0.376592 | − | 0.0616370i | ||||
\(109\) | −9.58462 | + | 1.90650i | −0.918040 | + | 0.182609i | −0.631425 | − | 0.775437i | \(-0.717530\pi\) |
−0.286614 | + | 0.958046i | \(0.592530\pi\) | |||||||
\(110\) | −3.96681 | + | 3.83373i | −0.378221 | + | 0.365532i | ||||
\(111\) | 12.9853 | + | 5.37869i | 1.23251 | + | 0.510523i | ||||
\(112\) | −15.8460 | + | 2.04129i | −1.49731 | + | 0.192883i | ||||
\(113\) | −6.70304 | − | 4.47883i | −0.630569 | − | 0.421333i | 0.198795 | − | 0.980041i | \(-0.436297\pi\) |
−0.829364 | + | 0.558708i | \(0.811297\pi\) | |||||||
\(114\) | −9.36251 | − | 6.48953i | −0.876879 | − | 0.607801i | ||||
\(115\) | −7.73442 | − | 7.73442i | −0.721239 | − | 0.721239i | ||||
\(116\) | −0.848439 | + | 3.61598i | −0.0787756 | + | 0.335735i | ||||
\(117\) | 1.92699 | + | 4.65216i | 0.178150 | + | 0.430092i | ||||
\(118\) | −4.01069 | + | 9.23391i | −0.369214 | + | 0.850050i | ||||
\(119\) | −3.00452 | − | 16.1923i | −0.275424 | − | 1.48435i | ||||
\(120\) | 9.58050 | − | 3.40540i | 0.874576 | − | 0.310869i | ||||
\(121\) | −1.90059 | − | 4.58844i | −0.172781 | − | 0.417131i | ||||
\(122\) | 12.3312 | − | 2.23488i | 1.11642 | − | 0.202336i | ||||
\(123\) | −8.02339 | + | 8.02339i | −0.723445 | + | 0.723445i | ||||
\(124\) | 10.2642 | + | 16.5575i | 0.921749 | + | 1.48691i | ||||
\(125\) | 9.87426 | + | 6.59777i | 0.883181 | + | 0.590123i | ||||
\(126\) | 11.7259 | + | 2.54109i | 1.04462 | + | 0.226379i | ||||
\(127\) | 0.215916 | − | 0.521267i | 0.0191594 | − | 0.0462550i | −0.914010 | − | 0.405691i | \(-0.867031\pi\) |
0.933170 | + | 0.359436i | \(0.117031\pi\) | |||||||
\(128\) | 1.34778 | − | 11.2331i | 0.119128 | − | 0.992879i | ||||
\(129\) | 6.29223 | − | 1.25160i | 0.554000 | − | 0.110197i | ||||
\(130\) | −2.88210 | − | 4.47684i | −0.252777 | − | 0.392645i | ||||
\(131\) | 19.6039 | + | 3.89946i | 1.71280 | + | 0.340697i | 0.951487 | − | 0.307688i | \(-0.0995553\pi\) |
0.761313 | + | 0.648385i | \(0.224555\pi\) | |||||||
\(132\) | 0.379328 | − | 11.1139i | 0.0330163 | − | 0.967344i | ||||
\(133\) | 7.89662 | + | 11.8181i | 0.684723 | + | 1.02476i | ||||
\(134\) | 8.65224 | + | 0.147611i | 0.747439 | + | 0.0127517i | ||||
\(135\) | 3.14896 | 0.271019 | ||||||||
\(136\) | 11.6380 | + | 0.746553i | 0.997949 | + | 0.0640164i | ||||
\(137\) | −3.05874 | −0.261326 | −0.130663 | − | 0.991427i | \(-0.541711\pi\) | ||||
−0.130663 | + | 0.991427i | \(0.541711\pi\) | |||||||
\(138\) | 22.0459 | + | 0.376113i | 1.87667 | + | 0.0320168i | ||||
\(139\) | 4.93873 | + | 7.39132i | 0.418897 | + | 0.626924i | 0.979568 | − | 0.201115i | \(-0.0644565\pi\) |
−0.560670 | + | 0.828039i | \(0.689457\pi\) | |||||||
\(140\) | −12.6790 | − | 0.432745i | −1.07157 | − | 0.0365736i | ||||
\(141\) | −9.01678 | − | 1.79355i | −0.759350 | − | 0.151044i | ||||
\(142\) | 5.14653 | + | 7.99425i | 0.431887 | + | 0.670862i | ||||
\(143\) | −5.71132 | + | 1.13605i | −0.477605 | + | 0.0950015i | ||||
\(144\) | −3.77895 | + | 7.60945i | −0.314913 | + | 0.634121i | ||||
\(145\) | −1.12862 | + | 2.72472i | −0.0937264 | + | 0.226276i | ||||
\(146\) | 19.6962 | + | 4.26832i | 1.63007 | + | 0.353249i | ||||
\(147\) | −16.8527 | − | 11.2606i | −1.38999 | − | 0.928760i | ||||
\(148\) | 10.5547 | − | 6.54299i | 0.867594 | − | 0.537831i | ||||
\(149\) | 8.62399 | − | 8.62399i | 0.706505 | − | 0.706505i | −0.259294 | − | 0.965798i | \(-0.583490\pi\) |
0.965798 | + | 0.259294i | \(0.0834898\pi\) | |||||||
\(150\) | −7.80554 | + | 1.41465i | −0.637319 | + | 0.115506i | ||||
\(151\) | 3.92551 | + | 9.47701i | 0.319453 | + | 0.771228i | 0.999283 | + | 0.0378583i | \(0.0120535\pi\) |
−0.679830 | + | 0.733370i | \(0.737946\pi\) | |||||||
\(152\) | −9.48367 | + | 3.37098i | −0.769227 | + | 0.273423i | ||||
\(153\) | −8.04713 | − | 3.45535i | −0.650572 | − | 0.279349i | ||||
\(154\) | −5.52765 | + | 12.7264i | −0.445430 | + | 1.02553i | ||||
\(155\) | 5.91958 | + | 14.2911i | 0.475472 | + | 1.14789i | ||||
\(156\) | 10.4490 | + | 2.45172i | 0.836593 | + | 0.196295i | ||||
\(157\) | −13.4869 | − | 13.4869i | −1.07637 | − | 1.07637i | −0.996832 | − | 0.0795382i | \(-0.974655\pi\) |
−0.0795382 | − | 0.996832i | \(-0.525345\pi\) | |||||||
\(158\) | −14.7675 | − | 10.2360i | −1.17484 | − | 0.814330i | ||||
\(159\) | 6.45790 | + | 4.31503i | 0.512145 | + | 0.342204i | ||||
\(160\) | 2.49684 | − | 8.62960i | 0.197393 | − | 0.682230i | ||||
\(161\) | −25.4167 | − | 10.5280i | −2.00312 | − | 0.829719i | ||||
\(162\) | −11.0443 | + | 10.6737i | −0.867719 | + | 0.838609i | ||||
\(163\) | 3.46089 | − | 0.688413i | 0.271078 | − | 0.0539207i | −0.0576797 | − | 0.998335i | \(-0.518370\pi\) |
0.328757 | + | 0.944414i | \(0.393370\pi\) | |||||||
\(164\) | 1.61930 | + | 9.89365i | 0.126446 | + | 0.772564i | ||||
\(165\) | 1.72266 | − | 8.66040i | 0.134109 | − | 0.674211i | ||||
\(166\) | −8.98873 | − | 22.7928i | −0.697661 | − | 1.76907i | ||||
\(167\) | 7.07994 | + | 10.5959i | 0.547863 | + | 0.819934i | 0.997304 | − | 0.0733754i | \(-0.0233771\pi\) |
−0.449442 | + | 0.893310i | \(0.648377\pi\) | |||||||
\(168\) | 18.9844 | − | 17.1343i | 1.46467 | − | 1.32194i | ||||
\(169\) | 7.37975i | 0.567673i | ||||||||
\(170\) | 9.02395 | + | 2.07763i | 0.692106 | + | 0.159347i | ||||
\(171\) | 7.55837 | 0.578003 | ||||||||
\(172\) | 2.34655 | − | 5.15981i | 0.178922 | − | 0.393432i | ||||
\(173\) | −9.27081 | + | 6.19456i | −0.704847 | + | 0.470964i | −0.855620 | − | 0.517605i | \(-0.826824\pi\) |
0.150773 | + | 0.988568i | \(0.451824\pi\) | |||||||
\(174\) | −2.18104 | − | 5.53050i | −0.165344 | − | 0.419266i | ||||
\(175\) | 9.70753 | + | 1.93095i | 0.733820 | + | 0.145966i | ||||
\(176\) | −7.77823 | − | 6.00294i | −0.586306 | − | 0.452489i | ||||
\(177\) | −3.14369 | − | 15.8044i | −0.236294 | − | 1.18793i | ||||
\(178\) | 0.615819 | + | 0.637196i | 0.0461576 | + | 0.0477598i | ||||
\(179\) | 1.32051 | − | 3.18798i | 0.0986992 | − | 0.238281i | −0.866816 | − | 0.498629i | \(-0.833837\pi\) |
0.965515 | + | 0.260348i | \(0.0838372\pi\) | |||||||
\(180\) | −3.93719 | + | 5.47821i | −0.293461 | + | 0.408322i | ||||
\(181\) | −7.57255 | + | 11.3331i | −0.562863 | + | 0.842385i | −0.998327 | − | 0.0578218i | \(-0.981584\pi\) |
0.435464 | + | 0.900206i | \(0.356584\pi\) | |||||||
\(182\) | −11.0061 | − | 7.62874i | −0.815823 | − | 0.565480i | ||||
\(183\) | −14.1841 | + | 14.1841i | −1.04852 | + | 1.04852i | ||||
\(184\) | 11.6376 | − | 15.6231i | 0.857933 | − | 1.15175i | ||||
\(185\) | 9.11002 | − | 3.77350i | 0.669782 | − | 0.277433i | ||||
\(186\) | −28.6003 | − | 12.4224i | −2.09708 | − | 0.910853i | ||||
\(187\) | 5.73465 | − | 8.34766i | 0.419359 | − | 0.610441i | ||||
\(188\) | −5.93621 | + | 5.54437i | −0.432943 | + | 0.404365i | ||||
\(189\) | 7.31719 | − | 3.03088i | 0.532247 | − | 0.220464i | ||||
\(190\) | −7.86389 | + | 1.42523i | −0.570507 | + | 0.103397i | ||||
\(191\) | −15.5081 | − | 15.5081i | −1.12212 | − | 1.12212i | −0.991422 | − | 0.130703i | \(-0.958276\pi\) |
−0.130703 | − | 0.991422i | \(-0.541724\pi\) | |||||||
\(192\) | 8.46975 | + | 16.0063i | 0.611252 | + | 1.15515i | ||||
\(193\) | 0.764638 | − | 1.14436i | 0.0550398 | − | 0.0823730i | −0.802929 | − | 0.596075i | \(-0.796726\pi\) |
0.857969 | + | 0.513702i | \(0.171726\pi\) | |||||||
\(194\) | −2.80093 | + | 12.9249i | −0.201095 | + | 0.927954i | ||||
\(195\) | 7.87358 | + | 3.26134i | 0.563839 | + | 0.233550i | ||||
\(196\) | −16.7690 | + | 6.28475i | −1.19778 | + | 0.448911i | ||||
\(197\) | 2.05749 | + | 10.3437i | 0.146590 | + | 0.736957i | 0.982230 | + | 0.187680i | \(0.0600967\pi\) |
−0.835641 | + | 0.549277i | \(0.814903\pi\) | |||||||
\(198\) | 3.99396 | + | 6.20393i | 0.283839 | + | 0.440894i | ||||
\(199\) | 3.58491 | − | 18.0226i | 0.254128 | − | 1.27759i | −0.617169 | − | 0.786831i | \(-0.711721\pi\) |
0.871297 | − | 0.490756i | \(-0.163279\pi\) | |||||||
\(200\) | −3.00989 | + | 6.32962i | −0.212831 | + | 0.447572i | ||||
\(201\) | −11.5167 | + | 7.69523i | −0.812327 | + | 0.542779i | ||||
\(202\) | 0.123154 | − | 7.21867i | 0.00866507 | − | 0.507904i | ||||
\(203\) | 7.41768i | 0.520619i | ||||||||
\(204\) | −15.9906 | + | 9.62982i | −1.11957 | + | 0.674222i | ||||
\(205\) | 7.96050i | 0.555985i | ||||||||
\(206\) | 0.374856 | + | 0.00639521i | 0.0261174 | + | 0.000445575i | ||||
\(207\) | −12.1640 | + | 8.12774i | −0.845458 | + | 0.564917i | ||||
\(208\) | 7.14695 | − | 6.23258i | 0.495552 | − | 0.432152i | ||||
\(209\) | −1.70525 | + | 8.57287i | −0.117955 | + | 0.592998i | ||||
\(210\) | 17.0740 | − | 10.9919i | 1.17822 | − | 0.758512i | ||||
\(211\) | −0.365262 | − | 1.83630i | −0.0251457 | − | 0.126416i | 0.966174 | − | 0.257893i | \(-0.0830281\pi\) |
−0.991319 | + | 0.131477i | \(0.958028\pi\) | |||||||
\(212\) | 6.42582 | − | 2.40830i | 0.441327 | − | 0.165402i | ||||
\(213\) | −14.0598 | − | 5.82374i | −0.963359 | − | 0.399036i | ||||
\(214\) | −7.25806 | − | 1.57288i | −0.496151 | − | 0.107520i | ||||
\(215\) | 2.50056 | − | 3.74235i | 0.170537 | − | 0.255226i | ||||
\(216\) | 0.811332 | + | 5.54940i | 0.0552042 | + | 0.377589i | ||||
\(217\) | 27.5105 | + | 27.5105i | 1.86753 | + | 1.86753i | ||||
\(218\) | −2.46459 | − | 13.5987i | −0.166923 | − | 0.921021i | ||||
\(219\) | −29.8026 | + | 12.3446i | −2.01387 | + | 0.834173i | ||||
\(220\) | −5.32523 | − | 5.70159i | −0.359027 | − | 0.384401i | ||||
\(221\) | 6.82212 | + | 7.00021i | 0.458905 | + | 0.470885i | ||||
\(222\) | −7.91876 | + | 18.2316i | −0.531472 | + | 1.22362i | ||||
\(223\) | 12.4584 | − | 5.16043i | 0.834275 | − | 0.345568i | 0.0756812 | − | 0.997132i | \(-0.475887\pi\) |
0.758594 | + | 0.651564i | \(0.225887\pi\) | |||||||
\(224\) | −2.50413 | − | 22.4557i | −0.167314 | − | 1.50038i | ||||
\(225\) | 3.72174 | − | 3.72174i | 0.248116 | − | 0.248116i | ||||
\(226\) | 6.49480 | − | 9.37011i | 0.432028 | − | 0.623291i | ||||
\(227\) | 11.5521 | − | 17.2889i | 0.766738 | − | 1.14750i | −0.218420 | − | 0.975855i | \(-0.570090\pi\) |
0.985158 | − | 0.171650i | \(-0.0549098\pi\) | |||||||
\(228\) | 9.40211 | − | 13.0821i | 0.622670 | − | 0.866384i | ||||
\(229\) | 9.64260 | − | 23.2793i | 0.637201 | − | 1.53834i | −0.193193 | − | 0.981161i | \(-0.561884\pi\) |
0.830393 | − | 0.557178i | \(-0.188116\pi\) | |||||||
\(230\) | 11.1231 | − | 10.7500i | 0.733437 | − | 0.708831i | ||||
\(231\) | −4.33273 | − | 21.7821i | −0.285073 | − | 1.43316i | ||||
\(232\) | −5.09255 | − | 1.28693i | −0.334343 | − | 0.0844911i | ||||
\(233\) | −2.27157 | − | 0.451844i | −0.148816 | − | 0.0296013i | 0.120120 | − | 0.992759i | \(-0.461672\pi\) |
−0.268936 | + | 0.963158i | \(0.586672\pi\) | |||||||
\(234\) | −6.62467 | + | 2.61255i | −0.433068 | + | 0.170787i | ||||
\(235\) | −5.36280 | + | 3.58331i | −0.349830 | + | 0.233749i | ||||
\(236\) | −12.9601 | − | 5.89390i | −0.843628 | − | 0.383660i | ||||
\(237\) | 28.7604 | 1.86819 | ||||||||
\(238\) | 22.9685 | − | 3.85780i | 1.48883 | − | 0.250064i | ||||
\(239\) | − | 11.2231i | − | 0.725965i | −0.931796 | − | 0.362982i | \(-0.881759\pi\) | ||
0.931796 | − | 0.362982i | \(-0.118241\pi\) | |||||||
\(240\) | 4.58415 | + | 13.6291i | 0.295905 | + | 0.879752i | ||||
\(241\) | −3.12364 | − | 4.67486i | −0.201211 | − | 0.301134i | 0.717118 | − | 0.696952i | \(-0.245461\pi\) |
−0.918329 | + | 0.395818i | \(0.870461\pi\) | |||||||
\(242\) | 6.53394 | − | 2.57677i | 0.420018 | − | 0.165641i | ||||
\(243\) | 3.63566 | − | 18.2777i | 0.233228 | − | 1.17251i | ||||
\(244\) | 2.86266 | + | 17.4904i | 0.183263 | + | 1.11971i | ||||
\(245\) | −13.9465 | + | 2.77413i | −0.891008 | + | 0.177232i | ||||
\(246\) | −11.1516 | − | 11.5387i | −0.710999 | − | 0.735680i | ||||
\(247\) | −7.79400 | − | 3.22838i | −0.495920 | − | 0.205417i | ||||
\(248\) | −23.6600 | + | 14.1142i | −1.50241 | + | 0.896252i | ||||
\(249\) | 32.6081 | + | 21.7880i | 2.06645 | + | 1.38076i | ||||
\(250\) | −9.56750 | + | 13.8031i | −0.605102 | + | 0.872986i | ||||
\(251\) | −11.1300 | − | 11.1300i | −0.702519 | − | 0.702519i | 0.262432 | − | 0.964951i | \(-0.415476\pi\) |
−0.964951 | + | 0.262432i | \(0.915476\pi\) | |||||||
\(252\) | −3.87600 | + | 16.5192i | −0.244165 | + | 1.04061i | ||||
\(253\) | −6.47432 | − | 15.6304i | −0.407037 | − | 0.982674i | ||||
\(254\) | 0.731867 | + | 0.317882i | 0.0459214 | + | 0.0199457i | ||||
\(255\) | −13.7656 | + | 5.49520i | −0.862034 | + | 0.344123i | ||||
\(256\) | 15.8512 | + | 2.17675i | 0.990702 | + | 0.136047i | ||||
\(257\) | 1.55502 | + | 3.75414i | 0.0969992 | + | 0.234177i | 0.964929 | − | 0.262509i | \(-0.0845500\pi\) |
−0.867930 | + | 0.496686i | \(0.834550\pi\) | |||||||
\(258\) | 1.61798 | + | 8.92745i | 0.100731 | + | 0.555799i | ||||
\(259\) | 17.5368 | − | 17.5368i | 1.08968 | − | 1.08968i | ||||
\(260\) | 6.39982 | − | 3.96731i | 0.396900 | − | 0.246042i | ||||
\(261\) | 3.27975 | + | 2.19146i | 0.203011 | + | 0.135648i | ||||
\(262\) | −5.98678 | + | 27.6260i | −0.369864 | + | 1.70674i | ||||
\(263\) | −5.20634 | + | 12.5692i | −0.321037 | + | 0.775051i | 0.678158 | + | 0.734916i | \(0.262779\pi\) |
−0.999194 | + | 0.0401344i | \(0.987221\pi\) | |||||||
\(264\) | 15.7060 | + | 0.804481i | 0.966640 | + | 0.0495124i | ||||
\(265\) | 5.34425 | − | 1.06304i | 0.328294 | − | 0.0653018i | ||||
\(266\) | −16.9014 | + | 10.8808i | −1.03629 | + | 0.667144i | ||||
\(267\) | −1.39113 | − | 0.276714i | −0.0851360 | − | 0.0169346i | ||||
\(268\) | −0.417446 | + | 12.2308i | −0.0254996 | + | 0.747113i | ||||
\(269\) | −0.757121 | − | 1.13311i | −0.0461625 | − | 0.0690871i | 0.807670 | − | 0.589634i | \(-0.200728\pi\) |
−0.853833 | + | 0.520547i | \(0.825728\pi\) | |||||||
\(270\) | −0.0759643 | + | 4.45265i | −0.00462304 | + | 0.270980i | ||||
\(271\) | −1.17410 | −0.0713212 | −0.0356606 | − | 0.999364i | \(-0.511354\pi\) | ||||
−0.0356606 | + | 0.999364i | \(0.511354\pi\) | |||||||
\(272\) | −1.33638 | + | 16.4382i | −0.0810300 | + | 0.996712i | ||||
\(273\) | 21.4348 | 1.29729 | ||||||||
\(274\) | 0.0737879 | − | 4.32508i | 0.00445769 | − | 0.261288i | ||||
\(275\) | 3.38161 | + | 5.06094i | 0.203919 | + | 0.305186i | ||||
\(276\) | −1.06365 | + | 31.1640i | −0.0640244 | + | 1.87585i | ||||
\(277\) | 25.2299 | + | 5.01854i | 1.51592 | + | 0.301535i | 0.881771 | − | 0.471677i | \(-0.156351\pi\) |
0.634147 | + | 0.773212i | \(0.281351\pi\) | |||||||
\(278\) | −10.5705 | + | 6.80509i | −0.633978 | + | 0.408142i | ||||
\(279\) | 20.2915 | − | 4.03622i | 1.21482 | − | 0.241642i | ||||
\(280\) | 0.917769 | − | 17.9178i | 0.0548472 | − | 1.07079i | ||||
\(281\) | −1.11240 | + | 2.68556i | −0.0663600 | + | 0.160207i | −0.953580 | − | 0.301139i | \(-0.902633\pi\) |
0.887220 | + | 0.461346i | \(0.152633\pi\) | |||||||
\(282\) | 2.75361 | − | 12.7065i | 0.163975 | − | 0.756663i | ||||
\(283\) | −5.74499 | − | 3.83868i | −0.341504 | − | 0.228186i | 0.372977 | − | 0.927841i | \(-0.378337\pi\) |
−0.714481 | + | 0.699655i | \(0.753337\pi\) | |||||||
\(284\) | −11.4281 | + | 7.08439i | −0.678132 | + | 0.420381i | ||||
\(285\) | 9.04548 | − | 9.04548i | 0.535808 | − | 0.535808i | ||||
\(286\) | −1.46861 | − | 8.10326i | −0.0868407 | − | 0.479156i | ||||
\(287\) | 7.66199 | + | 18.4977i | 0.452273 | + | 1.09188i | ||||
\(288\) | −10.6687 | − | 5.52703i | −0.628657 | − | 0.325684i | ||||
\(289\) | −16.9944 | − | 0.438000i | −0.999668 | − | 0.0257647i | ||||
\(290\) | −3.82555 | − | 1.66160i | −0.224644 | − | 0.0975726i | ||||
\(291\) | −8.10072 | − | 19.5569i | −0.474872 | − | 1.14644i | ||||
\(292\) | −6.51058 | + | 27.7476i | −0.381003 | + | 1.62380i | ||||
\(293\) | −10.3468 | − | 10.3468i | −0.604467 | − | 0.604467i | 0.337028 | − | 0.941495i | \(-0.390578\pi\) |
−0.941495 | + | 0.337028i | \(0.890578\pi\) | |||||||
\(294\) | 16.3291 | − | 23.5582i | 0.952335 | − | 1.37394i | ||||
\(295\) | −9.39978 | − | 6.28073i | −0.547277 | − | 0.365678i | ||||
\(296\) | 8.99722 | + | 15.0823i | 0.522953 | + | 0.876642i | ||||
\(297\) | 4.49981 | + | 1.86388i | 0.261105 | + | 0.108153i | ||||
\(298\) | 11.9863 | + | 12.4024i | 0.694350 | + | 0.718453i | ||||
\(299\) | 16.0148 | − | 3.18554i | 0.926159 | − | 0.184225i | ||||
\(300\) | −1.81203 | − | 11.0712i | −0.104618 | − | 0.639197i | ||||
\(301\) | 2.20849 | − | 11.1028i | 0.127295 | − | 0.639956i | ||||
\(302\) | −13.4953 | + | 5.32208i | −0.776565 | + | 0.306251i | ||||
\(303\) | 6.42023 | + | 9.60855i | 0.368833 | + | 0.551997i | ||||
\(304\) | −4.53781 | − | 13.4913i | −0.260261 | − | 0.773779i | ||||
\(305\) | 14.0729i | 0.805811i | ||||||||
\(306\) | 5.08002 | − | 11.2953i | 0.290406 | − | 0.645712i | ||||
\(307\) | −26.5174 | −1.51343 | −0.756715 | − | 0.653745i | \(-0.773197\pi\) | ||||
−0.756715 | + | 0.653745i | \(0.773197\pi\) | |||||||
\(308\) | −17.8619 | − | 8.12314i | −1.01778 | − | 0.462859i | ||||
\(309\) | −0.498959 | + | 0.333394i | −0.0283848 | + | 0.0189661i | ||||
\(310\) | −20.3506 | + | 8.02558i | −1.15584 | + | 0.455822i | ||||
\(311\) | −6.62139 | − | 1.31708i | −0.375465 | − | 0.0746846i | 0.00375083 | − | 0.999993i | \(-0.498806\pi\) |
−0.379215 | + | 0.925308i | \(0.623806\pi\) | |||||||
\(312\) | −3.71882 | + | 14.7159i | −0.210537 | + | 0.833122i | ||||
\(313\) | −0.830614 | − | 4.17578i | −0.0469491 | − | 0.236029i | 0.950185 | − | 0.311687i | \(-0.100894\pi\) |
−0.997134 | + | 0.0756583i | \(0.975894\pi\) | |||||||
\(314\) | 19.3959 | − | 18.7452i | 1.09457 | − | 1.05785i | ||||
\(315\) | −5.15595 | + | 12.4476i | −0.290505 | + | 0.701341i | ||||
\(316\) | 14.8300 | − | 20.6345i | 0.834252 | − | 1.16078i | ||||
\(317\) | 6.65233 | − | 9.95591i | 0.373632 | − | 0.559180i | −0.596237 | − | 0.802809i | \(-0.703338\pi\) |
0.969868 | + | 0.243629i | \(0.0783379\pi\) | |||||||
\(318\) | −6.25728 | + | 9.02743i | −0.350891 | + | 0.506233i | ||||
\(319\) | −3.22555 | + | 3.22555i | −0.180596 | + | 0.180596i | ||||
\(320\) | 12.1421 | + | 3.73873i | 0.678764 | + | 0.209001i | ||||
\(321\) | 10.9823 | − | 4.54901i | 0.612971 | − | 0.253901i | ||||
\(322\) | 15.4998 | − | 35.6855i | 0.863768 | − | 1.98867i | ||||
\(323\) | 13.6264 | − | 5.43966i | 0.758196 | − | 0.302671i | ||||
\(324\) | −14.8263 | − | 15.8742i | −0.823685 | − | 0.881898i | ||||
\(325\) | −5.42741 | + | 2.24811i | −0.301059 | + | 0.124703i | ||||
\(326\) | 0.889933 | + | 4.91033i | 0.0492888 | + | 0.271958i | ||||
\(327\) | 15.6420 | + | 15.6420i | 0.865004 | + | 0.865004i | ||||
\(328\) | −14.0288 | + | 2.05103i | −0.774609 | + | 0.113249i | ||||
\(329\) | −9.01250 | + | 13.4882i | −0.496875 | + | 0.743627i | ||||
\(330\) | 12.2043 | + | 2.64478i | 0.671826 | + | 0.145590i | ||||
\(331\) | 7.49253 | + | 3.10351i | 0.411827 | + | 0.170584i | 0.578971 | − | 0.815348i | \(-0.303455\pi\) |
−0.167144 | + | 0.985932i | \(0.553455\pi\) | |||||||
\(332\) | 32.4461 | − | 12.1603i | 1.78071 | − | 0.667382i | ||||
\(333\) | −2.57293 | − | 12.9350i | −0.140996 | − | 0.708833i | ||||
\(334\) | −15.1535 | + | 9.75548i | −0.829160 | + | 0.533796i | ||||
\(335\) | −1.89577 | + | 9.53068i | −0.103577 | + | 0.520717i | ||||
\(336\) | 23.7701 | + | 27.2574i | 1.29676 | + | 1.48701i | ||||
\(337\) | −22.3238 | + | 14.9163i | −1.21605 | + | 0.812541i | −0.986976 | − | 0.160868i | \(-0.948571\pi\) |
−0.229077 | + | 0.973408i | \(0.573571\pi\) | |||||||
\(338\) | −10.4350 | − | 0.178026i | −0.567591 | − | 0.00968335i | ||||
\(339\) | 18.2487i | 0.991133i | ||||||||
\(340\) | −3.15548 | + | 12.7098i | −0.171130 | + | 0.689287i | ||||
\(341\) | 23.9256i | 1.29564i | ||||||||
\(342\) | −0.182335 | + | 10.6876i | −0.00985956 | + | 0.577919i | ||||
\(343\) | −6.48943 | + | 4.33610i | −0.350396 | + | 0.234127i | ||||
\(344\) | 7.23940 | + | 3.44251i | 0.390322 | + | 0.185608i | ||||
\(345\) | −4.83042 | + | 24.2841i | −0.260061 | + | 1.30741i | ||||
\(346\) | −8.53551 | − | 13.2584i | −0.458872 | − | 0.712778i | ||||
\(347\) | −0.808226 | − | 4.06323i | −0.0433878 | − | 0.218125i | 0.953009 | − | 0.302943i | \(-0.0979692\pi\) |
−0.996396 | + | 0.0848177i | \(0.972969\pi\) | |||||||
\(348\) | 7.87279 | − | 2.95060i | 0.422026 | − | 0.158169i | ||||
\(349\) | 10.7699 | + | 4.46102i | 0.576497 | + | 0.238793i | 0.651829 | − | 0.758366i | \(-0.274002\pi\) |
−0.0753324 | + | 0.997158i | \(0.524002\pi\) | |||||||
\(350\) | −2.96456 | + | 13.6799i | −0.158462 | + | 0.731223i | ||||
\(351\) | −2.61162 | + | 3.90857i | −0.139398 | + | 0.208624i | ||||
\(352\) | 8.67584 | − | 10.8537i | 0.462424 | − | 0.578502i | ||||
\(353\) | −14.2069 | − | 14.2069i | −0.756155 | − | 0.756155i | 0.219466 | − | 0.975620i | \(-0.429569\pi\) |
−0.975620 | + | 0.219466i | \(0.929569\pi\) | |||||||
\(354\) | 22.4234 | − | 4.06394i | 1.19179 | − | 0.215996i | ||||
\(355\) | −9.86382 | + | 4.08573i | −0.523517 | + | 0.216848i | ||||
\(356\) | −0.915855 | + | 0.855401i | −0.0485402 | + | 0.0453362i | ||||
\(357\) | −26.6977 | + | 26.0185i | −1.41299 | + | 1.37704i | ||||
\(358\) | 4.47597 | + | 1.94411i | 0.236563 | + | 0.102749i | ||||
\(359\) | −7.57532 | + | 3.13780i | −0.399810 | + | 0.165607i | −0.573523 | − | 0.819190i | \(-0.694424\pi\) |
0.173713 | + | 0.984796i | \(0.444424\pi\) | |||||||
\(360\) | −7.65126 | − | 5.69937i | −0.403257 | − | 0.300383i | ||||
\(361\) | 4.48098 | − | 4.48098i | 0.235841 | − | 0.235841i | ||||
\(362\) | −15.8424 | − | 10.9810i | −0.832661 | − | 0.577151i | ||||
\(363\) | −6.24590 | + | 9.34765i | −0.327825 | + | 0.490624i | ||||
\(364\) | 11.0526 | − | 15.3786i | 0.579314 | − | 0.806058i | ||||
\(365\) | −8.66055 | + | 20.9084i | −0.453314 | + | 1.09440i | ||||
\(366\) | −19.7142 | − | 20.3986i | −1.03048 | − | 1.06625i | ||||
\(367\) | −2.36264 | − | 11.8778i | −0.123329 | − | 0.620017i | −0.992167 | − | 0.124920i | \(-0.960133\pi\) |
0.868838 | − | 0.495097i | \(-0.164867\pi\) | |||||||
\(368\) | 21.8105 | + | 16.8325i | 1.13695 | + | 0.877455i | ||||
\(369\) | 10.4424 | + | 2.07713i | 0.543612 | + | 0.108131i | ||||
\(370\) | 5.11599 | + | 12.9727i | 0.265967 | + | 0.674417i | ||||
\(371\) | 11.3952 | − | 7.61400i | 0.591607 | − | 0.395299i | ||||
\(372\) | 18.2553 | − | 40.1414i | 0.946492 | − | 2.08124i | ||||
\(373\) | 26.2968 | 1.36160 | 0.680798 | − | 0.732471i | \(-0.261633\pi\) | ||||
0.680798 | + | 0.732471i | \(0.261633\pi\) | |||||||
\(374\) | 11.6653 | + | 8.31022i | 0.603199 | + | 0.429711i | ||||
\(375\) | − | 26.8822i | − | 1.38819i | ||||||
\(376\) | −7.69658 | − | 8.52760i | −0.396921 | − | 0.439777i | ||||
\(377\) | −2.44596 | − | 3.66064i | −0.125974 | − | 0.188533i | ||||
\(378\) | 4.10917 | + | 10.4197i | 0.211353 | + | 0.535930i | ||||
\(379\) | 1.94490 | − | 9.77769i | 0.0999030 | − | 0.502246i | −0.898140 | − | 0.439710i | \(-0.855081\pi\) |
0.998043 | − | 0.0625360i | \(-0.0199188\pi\) | |||||||
\(380\) | −1.82558 | − | 11.1540i | −0.0936501 | − | 0.572187i | ||||
\(381\) | −1.25264 | + | 0.249165i | −0.0641745 | + | 0.0127651i | ||||
\(382\) | 22.3027 | − | 21.5544i | 1.14110 | − | 1.10282i | ||||
\(383\) | −10.5148 | − | 4.35536i | −0.537280 | − | 0.222549i | 0.0975084 | − | 0.995235i | \(-0.468913\pi\) |
−0.634788 | + | 0.772686i | \(0.718913\pi\) | |||||||
\(384\) | −22.8373 | + | 11.5902i | −1.16541 | + | 0.591458i | ||||
\(385\) | −12.9551 | − | 8.65629i | −0.660251 | − | 0.441166i | ||||
\(386\) | 1.59969 | + | 1.10881i | 0.0814221 | + | 0.0564370i | ||||
\(387\) | −4.25668 | − | 4.25668i | −0.216379 | − | 0.216379i | ||||
\(388\) | −18.2083 | − | 4.27234i | −0.924389 | − | 0.216895i | ||||
\(389\) | 7.68665 | + | 18.5572i | 0.389729 | + | 0.940889i | 0.989997 | + | 0.141090i | \(0.0450606\pi\) |
−0.600268 | + | 0.799799i | \(0.704939\pi\) | |||||||
\(390\) | −4.80150 | + | 11.0546i | −0.243134 | + | 0.559773i | ||||
\(391\) | −16.0802 | + | 23.4072i | −0.813211 | + | 1.18375i | ||||
\(392\) | −8.48216 | − | 23.8631i | −0.428414 | − | 1.20527i | ||||
\(393\) | −17.3147 | − | 41.8013i | −0.873409 | − | 2.10860i | ||||
\(394\) | −14.6757 | + | 2.65977i | −0.739350 | + | 0.133997i | ||||
\(395\) | 14.2675 | − | 14.2675i | 0.717874 | − | 0.717874i | ||||
\(396\) | −8.86875 | + | 5.49783i | −0.445672 | + | 0.276277i | ||||
\(397\) | −2.64896 | − | 1.76998i | −0.132948 | − | 0.0888328i | 0.487318 | − | 0.873225i | \(-0.337975\pi\) |
−0.620266 | + | 0.784392i | \(0.712975\pi\) | |||||||
\(398\) | 25.3976 | + | 5.50387i | 1.27307 | + | 0.275884i | ||||
\(399\) | 12.3125 | − | 29.7251i | 0.616398 | − | 1.48812i | ||||
\(400\) | −8.87753 | − | 4.40869i | −0.443876 | − | 0.220435i | ||||
\(401\) | −25.1811 | + | 5.00882i | −1.25748 | + | 0.250129i | −0.778471 | − | 0.627680i | \(-0.784005\pi\) |
−0.479011 | + | 0.877809i | \(0.659005\pi\) | |||||||
\(402\) | −10.6033 | − | 16.4704i | −0.528844 | − | 0.821467i | ||||
\(403\) | −22.6480 | − | 4.50497i | −1.12818 | − | 0.224408i | ||||
\(404\) | 10.2043 | + | 0.348281i | 0.507682 | + | 0.0173276i | ||||
\(405\) | −9.58220 | − | 14.3408i | −0.476144 | − | 0.712599i | ||||
\(406\) | −10.4887 | − | 0.178941i | −0.520543 | − | 0.00888070i | ||||
\(407\) | 15.2516 | 0.755994 | ||||||||
\(408\) | −13.2309 | − | 22.8432i | −0.655027 | − | 1.13091i | ||||
\(409\) | 6.70044 | 0.331316 | 0.165658 | − | 0.986183i | \(-0.447025\pi\) | ||||
0.165658 | + | 0.986183i | \(0.447025\pi\) | |||||||
\(410\) | −11.2562 | − | 0.192036i | −0.555904 | − | 0.00948398i | ||||
\(411\) | 3.84669 | + | 5.75699i | 0.189743 | + | 0.283971i | ||||
\(412\) | −0.0180858 | + | 0.529895i | −0.000891021 | + | 0.0261060i | ||||
\(413\) | −27.8873 | − | 5.54714i | −1.37225 | − | 0.272957i | ||||
\(414\) | −11.1992 | − | 17.3961i | −0.550413 | − | 0.854971i | ||||
\(415\) | 26.9849 | − | 5.36763i | 1.32464 | − | 0.263486i | ||||
\(416\) | 8.64050 | + | 10.2562i | 0.423636 | + | 0.502852i | ||||
\(417\) | 7.70055 | − | 18.5908i | 0.377097 | − | 0.910393i | ||||
\(418\) | −12.0810 | − | 2.61804i | −0.590899 | − | 0.128053i | ||||
\(419\) | 5.44403 | + | 3.63759i | 0.265958 | + | 0.177708i | 0.681398 | − | 0.731913i | \(-0.261372\pi\) |
−0.415440 | + | 0.909621i | \(0.636372\pi\) | |||||||
\(420\) | 15.1307 | + | 24.4079i | 0.738304 | + | 1.19098i | ||||
\(421\) | −21.5388 | + | 21.5388i | −1.04973 | + | 1.04973i | −0.0510380 | + | 0.998697i | \(0.516253\pi\) |
−0.998697 | + | 0.0510380i | \(0.983747\pi\) | |||||||
\(422\) | 2.60535 | − | 0.472185i | 0.126826 | − | 0.0229856i | ||||
\(423\) | 3.30121 | + | 7.96981i | 0.160510 | + | 0.387506i | ||||
\(424\) | 3.25034 | + | 9.14426i | 0.157850 | + | 0.444084i | ||||
\(425\) | 4.03117 | − | 9.38814i | 0.195541 | − | 0.455392i | ||||
\(426\) | 8.57399 | − | 19.7401i | 0.415411 | − | 0.956412i | ||||
\(427\) | 13.5452 | + | 32.7009i | 0.655497 | + | 1.58251i | ||||
\(428\) | 2.39916 | − | 10.2250i | 0.115968 | − | 0.494244i | ||||
\(429\) | 9.32081 | + | 9.32081i | 0.450013 | + | 0.450013i | ||||
\(430\) | 5.23139 | + | 3.62609i | 0.252280 | + | 0.174865i | ||||
\(431\) | −17.7741 | − | 11.8762i | −0.856146 | − | 0.572059i | 0.0482099 | − | 0.998837i | \(-0.484648\pi\) |
−0.904356 | + | 0.426779i | \(0.859648\pi\) | |||||||
\(432\) | −7.86647 | + | 1.01336i | −0.378476 | + | 0.0487552i | ||||
\(433\) | 6.61056 | + | 2.73819i | 0.317683 | + | 0.131589i | 0.535827 | − | 0.844328i | \(-0.320000\pi\) |
−0.218143 | + | 0.975917i | \(0.570000\pi\) | |||||||
\(434\) | −39.5637 | + | 38.2364i | −1.89912 | + | 1.83540i | ||||
\(435\) | 6.54766 | − | 1.30241i | 0.313936 | − | 0.0624458i | ||||
\(436\) | 19.2881 | − | 3.15690i | 0.923735 | − | 0.151188i | ||||
\(437\) | 4.78159 | − | 24.0387i | 0.228735 | − | 1.14993i | ||||
\(438\) | −16.7365 | − | 42.4389i | −0.799699 | − | 2.02781i | ||||
\(439\) | 3.66708 | + | 5.48817i | 0.175020 | + | 0.261936i | 0.908600 | − | 0.417667i | \(-0.137152\pi\) |
−0.733580 | + | 0.679603i | \(0.762152\pi\) | |||||||
\(440\) | 8.19055 | − | 7.39238i | 0.390469 | − | 0.352418i | ||||
\(441\) | 19.0186i | 0.905647i | ||||||||
\(442\) | −10.0629 | + | 9.47766i | −0.478645 | + | 0.450806i | ||||
\(443\) | −0.0876330 | −0.00416357 | −0.00208179 | − | 0.999998i | \(-0.500663\pi\) | ||||
−0.00208179 | + | 0.999998i | \(0.500663\pi\) | |||||||
\(444\) | −25.5886 | − | 11.6370i | −1.21438 | − | 0.552268i | ||||
\(445\) | −0.827387 | + | 0.552843i | −0.0392219 | + | 0.0262072i | ||||
\(446\) | 6.99635 | + | 17.7407i | 0.331287 | + | 0.840048i | ||||
\(447\) | −27.0772 | − | 5.38598i | −1.28071 | − | 0.254748i | ||||
\(448\) | 31.8129 | − | 2.99915i | 1.50302 | − | 0.141696i | ||||
\(449\) | −7.14374 | − | 35.9140i | −0.337134 | − | 1.69489i | −0.662308 | − | 0.749232i | \(-0.730423\pi\) |
0.325174 | − | 0.945654i | \(-0.394577\pi\) | |||||||
\(450\) | 5.17279 | + | 5.35235i | 0.243848 | + | 0.252312i | ||||
\(451\) | −4.71185 | + | 11.3754i | −0.221872 | + | 0.535647i | ||||
\(452\) | 13.0927 | + | 9.40974i | 0.615830 | + | 0.442597i | ||||
\(453\) | 12.9003 | − | 19.3067i | 0.606110 | − | 0.907108i | ||||
\(454\) | 24.1680 | + | 16.7518i | 1.13426 | + | 0.786201i | ||||
\(455\) | 10.6334 | − | 10.6334i | 0.498500 | − | 0.498500i | ||||
\(456\) | 18.2714 | + | 13.6102i | 0.855636 | + | 0.637358i | ||||
\(457\) | −6.50023 | + | 2.69248i | −0.304068 | + | 0.125949i | −0.529500 | − | 0.848310i | \(-0.677621\pi\) |
0.225432 | + | 0.974259i | \(0.427621\pi\) | |||||||
\(458\) | 32.6845 | + | 14.1963i | 1.52725 | + | 0.663349i | ||||
\(459\) | −1.49154 | − | 8.03837i | −0.0696190 | − | 0.375199i | ||||
\(460\) | 14.9322 | + | 15.9875i | 0.696217 | + | 0.745421i | ||||
\(461\) | −12.8491 | + | 5.32227i | −0.598442 | + | 0.247883i | −0.661278 | − | 0.750141i | \(-0.729986\pi\) |
0.0628356 | + | 0.998024i | \(0.479986\pi\) | |||||||
\(462\) | 30.9046 | − | 5.60105i | 1.43781 | − | 0.260584i | ||||
\(463\) | −7.89732 | − | 7.89732i | −0.367019 | − | 0.367019i | 0.499370 | − | 0.866389i | \(-0.333565\pi\) |
−0.866389 | + | 0.499370i | \(0.833565\pi\) | |||||||
\(464\) | 1.94258 | − | 7.16987i | 0.0901820 | − | 0.332853i | ||||
\(465\) | 19.4534 | − | 29.1141i | 0.902131 | − | 1.35014i | ||||
\(466\) | 0.693709 | − | 3.20112i | 0.0321354 | − | 0.148289i | ||||
\(467\) | −20.6714 | − | 8.56237i | −0.956557 | − | 0.396219i | −0.150866 | − | 0.988554i | \(-0.548206\pi\) |
−0.805692 | + | 0.592335i | \(0.798206\pi\) | |||||||
\(468\) | −3.53435 | − | 9.43036i | −0.163375 | − | 0.435919i | ||||
\(469\) | 4.76812 | + | 23.9710i | 0.220171 | + | 1.10688i | ||||
\(470\) | −4.93745 | − | 7.66948i | −0.227748 | − | 0.353767i | ||||
\(471\) | −8.42303 | + | 42.3454i | −0.388113 | + | 1.95117i | ||||
\(472\) | 8.64666 | − | 18.1834i | 0.397995 | − | 0.836961i | ||||
\(473\) | 5.78837 | − | 3.86766i | 0.266149 | − | 0.177835i | ||||
\(474\) | −0.693804 | + | 40.6674i | −0.0318675 | + | 1.86792i | ||||
\(475\) | 8.81794i | 0.404595i | ||||||||
\(476\) | 4.90087 | + | 32.5707i | 0.224631 | + | 1.49288i | ||||
\(477\) | − | 7.28787i | − | 0.333689i | ||||||
\(478\) | 15.8696 | + | 0.270743i | 0.725859 | + | 0.0123835i | ||||
\(479\) | 13.6534 | − | 9.12292i | 0.623841 | − | 0.416837i | −0.203075 | − | 0.979163i | \(-0.565093\pi\) |
0.826916 | + | 0.562326i | \(0.190093\pi\) | |||||||
\(480\) | −19.3822 | + | 6.15324i | −0.884672 | + | 0.280856i | ||||
\(481\) | −2.87173 | + | 14.4372i | −0.130940 | + | 0.658279i | ||||
\(482\) | 6.68564 | − | 4.30407i | 0.304522 | − | 0.196045i | ||||
\(483\) | 12.1492 | + | 61.0779i | 0.552806 | + | 2.77914i | ||||
\(484\) | 3.48595 | + | 9.30121i | 0.158452 | + | 0.422782i | ||||
\(485\) | −13.7204 | − | 5.68317i | −0.623011 | − | 0.258060i | ||||
\(486\) | 25.7571 | + | 5.58177i | 1.16836 | + | 0.253194i | ||||
\(487\) | −1.02911 | + | 1.54017i | −0.0466334 | + | 0.0697918i | −0.854054 | − | 0.520185i | \(-0.825863\pi\) |
0.807420 | + | 0.589977i | \(0.200863\pi\) | |||||||
\(488\) | −24.8006 | + | 3.62589i | −1.12267 | + | 0.164136i | ||||
\(489\) | −5.64813 | − | 5.64813i | −0.255417 | − | 0.255417i | ||||
\(490\) | −3.58620 | − | 19.7873i | −0.162008 | − | 0.893901i | ||||
\(491\) | −8.00880 | + | 3.31735i | −0.361432 | + | 0.149710i | −0.556007 | − | 0.831178i | \(-0.687667\pi\) |
0.194575 | + | 0.980888i | \(0.437667\pi\) | |||||||
\(492\) | 16.5848 | − | 15.4901i | 0.747701 | − | 0.698346i | ||||
\(493\) | 7.48999 | + | 1.59043i | 0.337332 | + | 0.0716295i | ||||
\(494\) | 4.75297 | − | 10.9429i | 0.213846 | − | 0.492344i | ||||
\(495\) | −7.65481 | + | 3.17073i | −0.344058 | + | 0.142514i | ||||
\(496\) | −19.3868 | − | 33.7960i | −0.870493 | − | 1.51748i | ||||
\(497\) | −18.9879 | + | 18.9879i | −0.851723 | + | 0.851723i | ||||
\(498\) | −31.5951 | + | 45.5825i | −1.41581 | + | 2.04260i | ||||
\(499\) | 15.5586 | − | 23.2852i | 0.696501 | − | 1.04239i | −0.299592 | − | 0.954068i | \(-0.596850\pi\) |
0.996092 | − | 0.0883192i | \(-0.0281496\pi\) | |||||||
\(500\) | −19.2869 | − | 13.8615i | −0.862537 | − | 0.619905i | ||||
\(501\) | 11.0392 | − | 26.6509i | 0.493194 | − | 1.19068i | ||||
\(502\) | 16.0064 | − | 15.4694i | 0.714400 | − | 0.690433i | ||||
\(503\) | 1.42171 | + | 7.14743i | 0.0633910 | + | 0.318688i | 0.999450 | − | 0.0331543i | \(-0.0105553\pi\) |
−0.936059 | + | 0.351842i | \(0.885555\pi\) | |||||||
\(504\) | −23.2648 | − | 5.87919i | −1.03629 | − | 0.261880i | ||||
\(505\) | 7.95157 | + | 1.58167i | 0.353840 | + | 0.0703832i | ||||
\(506\) | 22.2577 | − | 8.77768i | 0.989475 | − | 0.390215i | ||||
\(507\) | 13.8897 | − | 9.28083i | 0.616865 | − | 0.412176i | ||||
\(508\) | −0.467143 | + | 1.02720i | −0.0207261 | + | 0.0455745i | ||||
\(509\) | −21.5629 | −0.955760 | −0.477880 | − | 0.878425i | \(-0.658595\pi\) | ||||
−0.477880 | + | 0.878425i | \(0.658595\pi\) | |||||||
\(510\) | −7.43818 | − | 19.5972i | −0.329368 | − | 0.867779i | ||||
\(511\) | 56.9203i | 2.51801i | ||||||||
\(512\) | −3.46034 | + | 22.3613i | −0.152927 | + | 0.988238i | ||||
\(513\) | 3.92013 | + | 5.86688i | 0.173078 | + | 0.259029i | ||||
\(514\) | −5.34590 | + | 2.10824i | −0.235797 | + | 0.0929906i | ||||
\(515\) | −0.0821337 | + | 0.412914i | −0.00361924 | + | 0.0181952i | ||||
\(516\) | −12.6625 | + | 2.07248i | −0.557436 | + | 0.0912358i | ||||
\(517\) | −9.78432 | + | 1.94622i | −0.430314 | + | 0.0855947i | ||||
\(518\) | 24.3741 | + | 25.2202i | 1.07094 | + | 1.10811i | ||||
\(519\) | 23.3181 | + | 9.65866i | 1.02355 | + | 0.423968i | ||||
\(520\) | 5.45543 | + | 9.14510i | 0.239236 | + | 0.401039i | ||||
\(521\) | 4.85313 | + | 3.24276i | 0.212619 | + | 0.142068i | 0.657320 | − | 0.753611i | \(-0.271690\pi\) |
−0.444701 | + | 0.895679i | \(0.646690\pi\) | |||||||
\(522\) | −3.17786 | + | 4.58473i | −0.139091 | + | 0.200668i | ||||
\(523\) | −0.928399 | − | 0.928399i | −0.0405961 | − | 0.0405961i | 0.686517 | − | 0.727113i | \(-0.259139\pi\) |
−0.727113 | + | 0.686517i | \(0.759139\pi\) | |||||||
\(524\) | −38.9189 | − | 9.13179i | −1.70018 | − | 0.398924i | ||||
\(525\) | −8.57394 | − | 20.6993i | −0.374197 | − | 0.903392i | ||||
\(526\) | −17.6474 | − | 7.66502i | −0.769462 | − | 0.334211i | ||||
\(527\) | 33.6772 | − | 21.8801i | 1.46700 | − | 0.953112i | ||||
\(528\) | −1.51643 | + | 22.1891i | −0.0659941 | + | 0.965655i | ||||
\(529\) | 9.35256 | + | 22.5791i | 0.406633 | + | 0.981699i | ||||
\(530\) | 1.37422 | + | 7.58245i | 0.0596923 | + | 0.329361i | ||||
\(531\) | −10.6916 | + | 10.6916i | −0.463978 | + | 0.463978i | ||||
\(532\) | −14.9778 | − | 24.1612i | −0.649369 | − | 1.04752i | ||||
\(533\) | −9.88077 | − | 6.60212i | −0.427984 | − | 0.285970i | ||||
\(534\) | 0.424835 | − | 1.96040i | 0.0183844 | − | 0.0848348i | ||||
\(535\) | 3.19142 | − | 7.70477i | 0.137977 | − | 0.333106i | ||||
\(536\) | −17.2843 | − | 0.885323i | −0.746569 | − | 0.0382401i | ||||
\(537\) | −7.66091 | + | 1.52385i | −0.330593 | + | 0.0657590i | ||||
\(538\) | 1.62049 | − | 1.04324i | 0.0698645 | − | 0.0449773i | ||||
\(539\) | −21.5713 | − | 4.29080i | −0.929141 | − | 0.184818i | ||||
\(540\) | −6.29426 | − | 0.214828i | −0.270862 | − | 0.00924473i | ||||
\(541\) | 20.1913 | + | 30.2184i | 0.868092 | + | 1.29919i | 0.953052 | + | 0.302807i | \(0.0979237\pi\) |
−0.0849601 | + | 0.996384i | \(0.527076\pi\) | |||||||
\(542\) | 0.0283234 | − | 1.66018i | 0.00121660 | − | 0.0713109i | ||||
\(543\) | 30.8538 | 1.32406 | ||||||||
\(544\) | −23.2115 | − | 2.28620i | −0.995184 | − | 0.0980201i | ||||
\(545\) | 15.5194 | 0.664777 | ||||||||
\(546\) | −0.517084 | + | 30.3089i | −0.0221291 | + | 1.29710i | ||||
\(547\) | −4.20366 | − | 6.29123i | −0.179736 | − | 0.268993i | 0.730652 | − | 0.682750i | \(-0.239216\pi\) |
−0.910387 | + | 0.413757i | \(0.864216\pi\) | |||||||
\(548\) | 6.11392 | + | 0.208673i | 0.261174 | + | 0.00891408i | ||||
\(549\) | 18.4606 | + | 3.67204i | 0.787878 | + | 0.156719i | ||||
\(550\) | −7.23778 | + | 4.65954i | −0.308620 | + | 0.198683i | ||||
\(551\) | −6.48148 | + | 1.28925i | −0.276120 | + | 0.0549238i | ||||
\(552\) | −44.0404 | − | 2.25580i | −1.87449 | − | 0.0960132i | ||||
\(553\) | 19.4206 | − | 46.8855i | 0.825849 | − | 1.99378i | ||||
\(554\) | −7.70489 | + | 35.5542i | −0.327350 | + | 1.51055i | ||||
\(555\) | −18.5591 | − | 12.4008i | −0.787789 | − | 0.526384i | ||||
\(556\) | −9.36745 | − | 15.1110i | −0.397268 | − | 0.640848i | ||||
\(557\) | 26.1434 | − | 26.1434i | 1.10773 | − | 1.10773i | 0.114283 | − | 0.993448i | \(-0.463543\pi\) |
0.993448 | − | 0.114283i | \(-0.0364570\pi\) | |||||||
\(558\) | 5.21775 | + | 28.7896i | 0.220885 | + | 1.21876i | ||||
\(559\) | 2.57124 | + | 6.20751i | 0.108752 | + | 0.262550i | ||||
\(560\) | 25.3137 | + | 1.72997i | 1.06970 | + | 0.0731047i | ||||
\(561\) | −22.9234 | − | 0.295356i | −0.967827 | − | 0.0124700i | ||||
\(562\) | −3.77057 | − | 1.63772i | −0.159052 | − | 0.0690831i | ||||
\(563\) | 9.43760 | + | 22.7844i | 0.397748 | + | 0.960248i | 0.988199 | + | 0.153175i | \(0.0489497\pi\) |
−0.590452 | + | 0.807073i | \(0.701050\pi\) | |||||||
\(564\) | 17.9007 | + | 4.20015i | 0.753756 | + | 0.176858i | ||||
\(565\) | 9.05282 | + | 9.05282i | 0.380855 | + | 0.380855i | ||||
\(566\) | 5.56652 | − | 8.03086i | 0.233978 | − | 0.337562i | ||||
\(567\) | −36.0690 | − | 24.1006i | −1.51476 | − | 1.01213i | ||||
\(568\) | −9.74169 | − | 16.3303i | −0.408752 | − | 0.685204i | ||||
\(569\) | 21.6080 | + | 8.95034i | 0.905856 | + | 0.375218i | 0.786469 | − | 0.617630i | \(-0.211907\pi\) |
0.119387 | + | 0.992848i | \(0.461907\pi\) | |||||||
\(570\) | 12.5722 | + | 13.0086i | 0.526590 | + | 0.544870i | ||||
\(571\) | 7.43083 | − | 1.47808i | 0.310971 | − | 0.0618559i | −0.0371378 | − | 0.999310i | \(-0.511824\pi\) |
0.348109 | + | 0.937454i | \(0.386824\pi\) | |||||||
\(572\) | 11.4935 | − | 1.88114i | 0.480567 | − | 0.0786546i | ||||
\(573\) | −9.68533 | + | 48.6915i | −0.404611 | + | 2.03411i | ||||
\(574\) | −26.3407 | + | 10.3879i | −1.09944 | + | 0.433582i | ||||
\(575\) | −9.48219 | − | 14.1911i | −0.395434 | − | 0.591810i | ||||
\(576\) | 8.07264 | − | 14.9522i | 0.336360 | − | 0.623010i | ||||
\(577\) | − | 15.4426i | − | 0.642884i | −0.946929 | − | 0.321442i | \(-0.895832\pi\) | ||
0.946929 | − | 0.321442i | \(-0.104168\pi\) | |||||||
\(578\) | 1.02930 | − | 24.0196i | 0.0428133 | − | 0.999083i | ||||
\(579\) | −3.11546 | −0.129474 | ||||||||
\(580\) | 2.44180 | − | 5.36927i | 0.101390 | − | 0.222947i | ||||
\(581\) | 57.5380 | − | 38.4456i | 2.38708 | − | 1.59499i | ||||
\(582\) | 27.8490 | − | 10.9827i | 1.15438 | − | 0.455247i | ||||
\(583\) | 8.26605 | + | 1.64422i | 0.342345 | + | 0.0680966i | ||||
\(584\) | −39.0782 | − | 9.87539i | −1.61707 | − | 0.408647i | ||||
\(585\) | −1.56008 | − | 7.84307i | −0.0645015 | − | 0.324271i | ||||
\(586\) | 14.8801 | − | 14.3809i | 0.614690 | − | 0.594068i | ||||
\(587\) | −4.61264 | + | 11.1359i | −0.190384 | + | 0.459628i | −0.990032 | − | 0.140841i | \(-0.955019\pi\) |
0.799648 | + | 0.600469i | \(0.205019\pi\) | |||||||
\(588\) | 32.9176 | + | 23.6579i | 1.35750 | + | 0.975633i | ||||
\(589\) | −19.2568 | + | 28.8199i | −0.793463 | + | 1.18750i | ||||
\(590\) | 9.10776 | − | 13.1399i | 0.374961 | − | 0.540959i | ||||
\(591\) | 16.8808 | − | 16.8808i | 0.694382 | − | 0.694382i | ||||
\(592\) | −21.5436 | + | 12.3583i | −0.885435 | + | 0.507923i | ||||
\(593\) | 27.8859 | − | 11.5507i | 1.14514 | − | 0.474332i | 0.272237 | − | 0.962230i | \(-0.412236\pi\) |
0.872900 | + | 0.487898i | \(0.162236\pi\) | |||||||
\(594\) | −2.74410 | + | 6.31780i | −0.112592 | + | 0.259223i | ||||
\(595\) | −0.336949 | + | 26.1515i | −0.0138136 | + | 1.07211i | ||||
\(596\) | −17.8263 | + | 16.6496i | −0.730193 | + | 0.681994i | ||||
\(597\) | −38.4295 | + | 15.9180i | −1.57281 | + | 0.651481i | ||||
\(598\) | 4.11804 | + | 22.7219i | 0.168399 | + | 0.929167i | ||||
\(599\) | −11.1432 | − | 11.1432i | −0.455299 | − | 0.455299i | 0.441810 | − | 0.897109i | \(-0.354337\pi\) |
−0.897109 | + | 0.441810i | \(0.854337\pi\) | |||||||
\(600\) | 15.6985 | − | 2.29515i | 0.640889 | − | 0.0936990i | ||||
\(601\) | −24.8557 | + | 37.1992i | −1.01389 | + | 1.51739i | −0.166759 | + | 0.985998i | \(0.553330\pi\) |
−0.847127 | + | 0.531390i | \(0.821670\pi\) | |||||||
\(602\) | 15.6462 | + | 3.39066i | 0.637692 | + | 0.138193i | ||||
\(603\) | 12.0075 | + | 4.97367i | 0.488984 | + | 0.202544i | ||||
\(604\) | −7.19990 | − | 19.2108i | −0.292960 | − | 0.781676i | ||||
\(605\) | 1.53872 | + | 7.73566i | 0.0625578 | + | 0.314499i | ||||
\(606\) | −13.7414 | + | 8.84646i | −0.558208 | + | 0.359363i | ||||
\(607\) | 2.44705 | − | 12.3021i | 0.0993225 | − | 0.499328i | −0.898815 | − | 0.438328i | \(-0.855571\pi\) |
0.998138 | − | 0.0610004i | \(-0.0194291\pi\) | |||||||
\(608\) | 19.1863 | − | 6.09104i | 0.778106 | − | 0.247024i | ||||
\(609\) | 13.9611 | − | 9.32853i | 0.565733 | − | 0.378011i | ||||
\(610\) | −19.8992 | − | 0.339489i | −0.805694 | − | 0.0137455i | ||||
\(611\) | − | 9.62830i | − | 0.389519i | ||||||
\(612\) | 15.8492 | + | 7.45568i | 0.640664 | + | 0.301378i | ||||
\(613\) | − | 37.9509i | − | 1.53282i | −0.642351 | − | 0.766411i | \(-0.722041\pi\) | ||
0.642351 | − | 0.766411i | \(-0.277959\pi\) | |||||||
\(614\) | 0.639696 | − | 37.4959i | 0.0258160 | − | 1.51321i | ||||
\(615\) | 14.9828 | − | 10.0112i | 0.604164 | − | 0.403690i | ||||
\(616\) | 11.9171 | − | 25.0610i | 0.480153 | − | 1.00973i | ||||
\(617\) | −1.83441 | + | 9.22219i | −0.0738505 | + | 0.371272i | −0.999982 | − | 0.00592821i | \(-0.998113\pi\) |
0.926132 | + | 0.377200i | \(0.123113\pi\) | |||||||
\(618\) | −0.459385 | − | 0.713575i | −0.0184792 | − | 0.0287042i | ||||
\(619\) | 7.07536 | + | 35.5702i | 0.284383 | + | 1.42969i | 0.813710 | + | 0.581271i | \(0.197444\pi\) |
−0.529328 | + | 0.848418i | \(0.677556\pi\) | |||||||
\(620\) | −10.8573 | − | 28.9695i | −0.436040 | − | 1.16344i | ||||
\(621\) | −12.6177 | − | 5.22641i | −0.506329 | − | 0.209729i | ||||
\(622\) | 2.02209 | − | 9.33092i | 0.0810784 | − | 0.374136i | ||||
\(623\) | −1.39047 | + | 2.08099i | −0.0557082 | + | 0.0833732i | ||||
\(624\) | −20.7187 | − | 5.61344i | −0.829410 | − | 0.224718i | ||||
\(625\) | −4.57470 | − | 4.57470i | −0.182988 | − | 0.182988i | ||||
\(626\) | 5.92462 | − | 1.07376i | 0.236796 | − | 0.0429161i | ||||
\(627\) | 18.2799 | − | 7.57178i | 0.730028 | − | 0.302388i | ||||
\(628\) | 26.0380 | + | 27.8782i | 1.03903 | + | 1.11246i | ||||
\(629\) | −13.9477 | − | 21.4679i | −0.556130 | − | 0.855979i | ||||
\(630\) | −17.4766 | − | 7.59084i | −0.696284 | − | 0.302426i | ||||
\(631\) | 31.6304 | − | 13.1018i | 1.25919 | − | 0.521573i | 0.349528 | − | 0.936926i | \(-0.386342\pi\) |
0.909660 | + | 0.415353i | \(0.136342\pi\) | |||||||
\(632\) | 28.8195 | + | 21.4675i | 1.14638 | + | 0.853931i | ||||
\(633\) | −2.99681 | + | 2.99681i | −0.119113 | + | 0.119113i | ||||
\(634\) | 13.9173 | + | 9.64662i | 0.552725 | + | 0.383116i | ||||
\(635\) | −0.497803 | + | 0.745015i | −0.0197547 | + | 0.0295650i | ||||
\(636\) | −12.6139 | − | 9.06562i | −0.500174 | − | 0.359475i | ||||
\(637\) | 8.12334 | − | 19.6115i | 0.321858 | − | 0.777035i | ||||
\(638\) | −4.48313 | − | 4.63876i | −0.177489 | − | 0.183650i | ||||
\(639\) | 2.78582 | + | 14.0053i | 0.110205 | + | 0.554040i | ||||
\(640\) | −5.57951 | + | 17.0788i | −0.220549 | + | 0.675100i | ||||
\(641\) | 41.0725 | + | 8.16982i | 1.62226 | + | 0.322688i | 0.920806 | − | 0.390022i | \(-0.127532\pi\) |
0.701459 | + | 0.712710i | \(0.252532\pi\) | |||||||
\(642\) | 6.16740 | + | 15.6388i | 0.243408 | + | 0.617213i | ||||
\(643\) | −12.8831 | + | 8.60823i | −0.508061 | + | 0.339475i | −0.783037 | − | 0.621976i | \(-0.786330\pi\) |
0.274976 | + | 0.961451i | \(0.411330\pi\) | |||||||
\(644\) | 50.0857 | + | 22.7776i | 1.97365 | + | 0.897565i | ||||
\(645\) | −10.1883 | −0.401166 | ||||||||
\(646\) | 7.36300 | + | 19.3991i | 0.289693 | + | 0.763248i | ||||
\(647\) | 4.31868i | 0.169785i | 0.996390 | + | 0.0848923i | \(0.0270546\pi\) | ||||
−0.996390 | + | 0.0848923i | \(0.972945\pi\) | |||||||
\(648\) | 22.8039 | − | 20.5816i | 0.895820 | − | 0.808522i | ||||
\(649\) | −9.71454 | − | 14.5388i | −0.381329 | − | 0.570699i | ||||
\(650\) | −3.04791 | − | 7.72864i | −0.119549 | − | 0.303142i | ||||
\(651\) | 17.1812 | − | 86.3760i | 0.673386 | − | 3.38534i | ||||
\(652\) | −6.96471 | + | 1.13992i | −0.272759 | + | 0.0446426i | ||||
\(653\) | 16.4937 | − | 3.28079i | 0.645447 | − | 0.128387i | 0.138497 | − | 0.990363i | \(-0.455773\pi\) |
0.506950 | + | 0.861975i | \(0.330773\pi\) | |||||||
\(654\) | −22.4952 | + | 21.7405i | −0.879633 | + | 0.850123i | ||||
\(655\) | −29.3263 | − | 12.1473i | −1.14587 | − | 0.474636i | ||||
\(656\) | −2.56175 | − | 19.8863i | −0.100019 | − | 0.776428i | ||||
\(657\) | 25.1675 | + | 16.8164i | 0.981877 | + | 0.656070i | ||||
\(658\) | −18.8550 | − | 13.0691i | −0.735043 | − | 0.509488i | ||||
\(659\) | 24.3424 | + | 24.3424i | 0.948246 | + | 0.948246i | 0.998725 | − | 0.0504793i | \(-0.0160749\pi\) |
−0.0504793 | + | 0.998725i | \(0.516075\pi\) | |||||||
\(660\) | −4.03415 | + | 17.1932i | −0.157029 | + | 0.669244i | ||||
\(661\) | −13.8353 | − | 33.4013i | −0.538130 | − | 1.29916i | −0.926027 | − | 0.377457i | \(-0.876798\pi\) |
0.387897 | − | 0.921703i | \(-0.373202\pi\) | |||||||
\(662\) | −4.56913 | + | 10.5196i | −0.177584 | + | 0.408857i | ||||
\(663\) | 4.59585 | − | 21.6437i | 0.178488 | − | 0.840572i | ||||
\(664\) | 16.4120 | + | 46.1724i | 0.636910 | + | 1.79184i | ||||
\(665\) | −8.63804 | − | 20.8541i | −0.334969 | − | 0.808686i | ||||
\(666\) | 18.3522 | − | 3.32610i | 0.711135 | − | 0.128884i | ||||
\(667\) | 9.04457 | − | 9.04457i | 0.350207 | − | 0.350207i | ||||
\(668\) | −13.4288 | − | 21.6624i | −0.519575 | − | 0.838145i | ||||
\(669\) | −25.3804 | − | 16.9586i | −0.981263 | − | 0.655659i | ||||
\(670\) | −13.4307 | − | 2.91055i | −0.518874 | − | 0.112444i | ||||
\(671\) | −8.32980 | + | 20.1099i | −0.321568 | + | 0.776335i | ||||
\(672\) | −39.1156 | + | 32.9535i | −1.50892 | + | 1.27121i | ||||
\(673\) | −37.1218 | + | 7.38398i | −1.43094 | + | 0.284631i | −0.848910 | − | 0.528537i | \(-0.822741\pi\) |
−0.582028 | + | 0.813168i | \(0.697741\pi\) | |||||||
\(674\) | −20.5532 | − | 31.9258i | −0.791679 | − | 1.22974i | ||||
\(675\) | 4.81912 | + | 0.958583i | 0.185488 | + | 0.0368959i | ||||
\(676\) | 0.503461 | − | 14.7509i | 0.0193639 | − | 0.567343i | ||||
\(677\) | 5.75120 | + | 8.60728i | 0.221037 | + | 0.330805i | 0.925370 | − | 0.379064i | \(-0.123754\pi\) |
−0.704334 | + | 0.709869i | \(0.748754\pi\) | |||||||
\(678\) | −25.8038 | − | 0.440224i | −0.990989 | − | 0.0169067i | ||||
\(679\) | −37.3519 | −1.43343 | ||||||||
\(680\) | −17.8957 | − | 4.76848i | −0.686267 | − | 0.182863i | ||||
\(681\) | −47.0681 | −1.80366 | ||||||||
\(682\) | −33.8310 | − | 0.577172i | −1.29546 | − | 0.0221011i | ||||
\(683\) | −2.82528 | − | 4.22832i | −0.108106 | − | 0.161792i | 0.773472 | − | 0.633831i | \(-0.218518\pi\) |
−0.881578 | + | 0.472038i | \(0.843518\pi\) | |||||||
\(684\) | −15.1080 | − | 0.515647i | −0.577667 | − | 0.0197163i | ||||
\(685\) | 4.76420 | + | 0.947658i | 0.182031 | + | 0.0362082i | ||||
\(686\) | −5.97473 | − | 9.28071i | −0.228116 | − | 0.354339i | ||||
\(687\) | −55.9415 | + | 11.1275i | −2.13430 | + | 0.424539i | ||||
\(688\) | −5.04237 | + | 10.1535i | −0.192239 | + | 0.387100i | ||||
\(689\) | −3.11284 | + | 7.51506i | −0.118590 | + | 0.286301i | ||||
\(690\) | −34.2214 | − | 7.41607i | −1.30279 | − | 0.282325i | ||||
\(691\) | −1.80294 | − | 1.20468i | −0.0685870 | − | 0.0458283i | 0.520804 | − | 0.853676i | \(-0.325632\pi\) |
−0.589391 | + | 0.807848i | \(0.700632\pi\) | |||||||
\(692\) | 18.9534 | − | 11.7494i | 0.720502 | − | 0.446646i | ||||
\(693\) | −14.7355 | + | 14.7355i | −0.559757 | + | 0.559757i | ||||
\(694\) | 5.76493 | − | 1.04482i | 0.218834 | − | 0.0396607i | ||||
\(695\) | −5.40243 | − | 13.0426i | −0.204926 | − | 0.494734i | ||||
\(696\) | 3.98225 | + | 11.2034i | 0.150947 | + | 0.424662i | ||||
\(697\) | 20.3208 | − | 3.77057i | 0.769705 | − | 0.142821i | ||||
\(698\) | −6.56772 | + | 15.1210i | −0.248592 | + | 0.572340i | ||||
\(699\) | 2.00631 | + | 4.84366i | 0.0758856 | + | 0.183204i | ||||
\(700\) | −19.2720 | − | 4.52191i | −0.728414 | − | 0.170912i | ||||
\(701\) | 29.0858 | + | 29.0858i | 1.09856 | + | 1.09856i | 0.994580 | + | 0.103977i | \(0.0331568\pi\) |
0.103977 | + | 0.994580i | \(0.466843\pi\) | |||||||
\(702\) | −5.46375 | − | 3.78715i | −0.206216 | − | 0.142937i | ||||
\(703\) | 18.3715 | + | 12.2754i | 0.692894 | + | 0.462977i | ||||
\(704\) | 15.1379 | + | 12.5295i | 0.570530 | + | 0.472225i | ||||
\(705\) | 13.4886 | + | 5.58715i | 0.508009 | + | 0.210424i | ||||
\(706\) | 20.4313 | − | 19.7459i | 0.768943 | − | 0.743146i | ||||
\(707\) | 19.9993 | − | 3.97810i | 0.752150 | − | 0.149612i | ||||
\(708\) | 5.20552 | + | 31.8049i | 0.195635 | + | 1.19530i | ||||
\(709\) | −2.89581 | + | 14.5582i | −0.108754 | + | 0.546745i | 0.887540 | + | 0.460731i | \(0.152413\pi\) |
−0.996294 | + | 0.0860136i | \(0.972587\pi\) | |||||||
\(710\) | −5.53930 | − | 14.0461i | −0.207886 | − | 0.527140i | ||||
\(711\) | −14.9930 | − | 22.4386i | −0.562282 | − | 0.841514i | ||||
\(712\) | −1.18745 | − | 1.31566i | −0.0445016 | − | 0.0493065i | ||||
\(713\) | − | 67.0885i | − | 2.51248i | ||||||
\(714\) | −36.1463 | − | 38.3784i | −1.35274 | − | 1.43628i | ||||
\(715\) | 9.24775 | 0.345846 | ||||||||
\(716\) | −2.85696 | + | 6.28216i | −0.106770 | + | 0.234776i | ||||
\(717\) | −21.1235 | + | 14.1143i | −0.788873 | + | 0.527108i | ||||
\(718\) | −4.25413 | − | 10.7873i | −0.158763 | − | 0.402577i | ||||
\(719\) | −17.5647 | − | 3.49383i | −0.655052 | − | 0.130298i | −0.143635 | − | 0.989631i | \(-0.545879\pi\) |
−0.511417 | + | 0.859333i | \(0.670879\pi\) | |||||||
\(720\) | 8.24353 | − | 10.6814i | 0.307218 | − | 0.398074i | ||||
\(721\) | 0.206578 | + | 1.03854i | 0.00769335 | + | 0.0386771i | ||||
\(722\) | 6.22804 | + | 6.44424i | 0.231784 | + | 0.239830i | ||||
\(723\) | −4.87043 | + | 11.7583i | −0.181133 | + | 0.437294i | ||||
\(724\) | 15.9095 | − | 22.1364i | 0.591270 | − | 0.822694i | ||||
\(725\) | −2.55665 | + | 3.82630i | −0.0949518 | + | 0.142105i | ||||
\(726\) | −13.0670 | − | 9.05725i | −0.484961 | − | 0.336146i | ||||
\(727\) | 9.14200 | − | 9.14200i | 0.339058 | − | 0.339058i | −0.516955 | − | 0.856013i | \(-0.672934\pi\) |
0.856013 | + | 0.516955i | \(0.172934\pi\) | |||||||
\(728\) | 21.4788 | + | 15.9995i | 0.796059 | + | 0.592979i | ||||
\(729\) | −8.87181 | + | 3.67482i | −0.328585 | + | 0.136105i | ||||
\(730\) | −29.3557 | − | 12.7505i | −1.08650 | − | 0.471916i | ||||
\(731\) | −10.7375 | − | 4.61058i | −0.397142 | − | 0.170529i | ||||
\(732\) | 29.3193 | − | 27.3840i | 1.08367 | − | 1.01214i | ||||
\(733\) | 12.0200 | − | 4.97884i | 0.443968 | − | 0.183898i | −0.149489 | − | 0.988763i | \(-0.547763\pi\) |
0.593457 | + | 0.804866i | \(0.297763\pi\) | |||||||
\(734\) | 16.8523 | − | 3.05426i | 0.622030 | − | 0.112735i | ||||
\(735\) | 22.7605 | + | 22.7605i | 0.839533 | + | 0.839533i | ||||
\(736\) | −24.3274 | + | 30.4341i | −0.896721 | + | 1.12182i | ||||
\(737\) | −8.35027 | + | 12.4971i | −0.307586 | + | 0.460335i | ||||
\(738\) | −3.18899 | + | 14.7156i | −0.117388 | + | 0.541688i | ||||
\(739\) | −27.1906 | − | 11.2627i | −1.00022 | − | 0.414305i | −0.178343 | − | 0.983968i | \(-0.557074\pi\) |
−0.821878 | + | 0.569663i | \(0.807074\pi\) | |||||||
\(740\) | −18.4669 | + | 6.92110i | −0.678856 | + | 0.254425i | ||||
\(741\) | 3.72552 | + | 18.7294i | 0.136860 | + | 0.688043i | ||||
\(742\) | 10.4914 | + | 16.2965i | 0.385150 | + | 0.598264i | ||||
\(743\) | −1.16420 | + | 5.85282i | −0.0427103 | + | 0.214719i | −0.996247 | − | 0.0865584i | \(-0.972413\pi\) |
0.953536 | + | 0.301278i | \(0.0974131\pi\) | |||||||
\(744\) | 56.3199 | + | 26.7815i | 2.06479 | + | 0.981856i | ||||
\(745\) | −16.1043 | + | 10.7606i | −0.590017 | + | 0.394237i | ||||
\(746\) | −0.634374 | + | 37.1839i | −0.0232261 | + | 1.36140i | ||||
\(747\) | − | 36.7989i | − | 1.34640i | ||||||
\(748\) | −12.0321 | + | 16.2944i | −0.439938 | + | 0.595781i | ||||
\(749\) | − | 20.9752i | − | 0.766417i | ||||||
\(750\) | 38.0116 | + | 0.648495i | 1.38799 | + | 0.0236797i | ||||
\(751\) | 4.76539 | − | 3.18413i | 0.173891 | − | 0.116191i | −0.465579 | − | 0.885007i | \(-0.654154\pi\) |
0.639470 | + | 0.768816i | \(0.279154\pi\) | |||||||
\(752\) | 12.2438 | − | 10.6773i | 0.446484 | − | 0.389361i | ||||
\(753\) | −6.95107 | + | 34.9454i | −0.253311 | + | 1.27348i | ||||
\(754\) | 5.23518 | − | 3.37030i | 0.190654 | − | 0.122739i | ||||
\(755\) | −3.17808 | − | 15.9773i | −0.115662 | − | 0.581473i | ||||
\(756\) | −14.8326 | + | 5.55904i | −0.539457 | + | 0.202180i | ||||
\(757\) | −5.74019 | − | 2.37766i | −0.208631 | − | 0.0864177i | 0.275921 | − | 0.961180i | \(-0.411017\pi\) |
−0.484552 | + | 0.874763i | \(0.661017\pi\) | |||||||
\(758\) | 13.7788 | + | 2.98598i | 0.500469 | + | 0.108456i | ||||
\(759\) | −21.2765 | + | 31.8425i | −0.772287 | + | 1.15581i | ||||
\(760\) | 15.8159 | − | 2.31231i | 0.573702 | − | 0.0838761i | ||||
\(761\) | 34.6524 | + | 34.6524i | 1.25615 | + | 1.25615i | 0.952917 | + | 0.303231i | \(0.0980654\pi\) |
0.303231 | + | 0.952917i | \(0.401935\pi\) | |||||||
\(762\) | −0.322103 | − | 1.77725i | −0.0116686 | − | 0.0643829i | ||||
\(763\) | 36.0621 | − | 14.9374i | 1.30554 | − | 0.540771i | ||||
\(764\) | 29.9401 | + | 32.0561i | 1.08320 | + | 1.15975i | ||||
\(765\) | 11.4634 | + | 7.87511i | 0.414461 | + | 0.284725i | ||||
\(766\) | 6.41217 | − | 14.7629i | 0.231681 | − | 0.533406i | ||||
\(767\) | 15.5916 | − | 6.45826i | 0.562981 | − | 0.233194i | ||||
\(768\) | −15.8377 | − | 32.5718i | −0.571493 | − | 1.17533i | ||||
\(769\) | −20.7436 | + | 20.7436i | −0.748035 | + | 0.748035i | −0.974110 | − | 0.226075i | \(-0.927410\pi\) |
0.226075 | + | 0.974110i | \(0.427410\pi\) | |||||||
\(770\) | 12.5526 | − | 18.1097i | 0.452364 | − | 0.652629i | ||||
\(771\) | 5.11023 | − | 7.64799i | 0.184040 | − | 0.275436i | ||||
\(772\) | −1.60646 | + | 2.23523i | −0.0578176 | + | 0.0804476i | ||||
\(773\) | −15.5416 | + | 37.5208i | −0.558994 | + | 1.34953i | 0.351570 | + | 0.936162i | \(0.385648\pi\) |
−0.910564 | + | 0.413369i | \(0.864352\pi\) | |||||||
\(774\) | 6.12166 | − | 5.91629i | 0.220039 | − | 0.212657i | ||||
\(775\) | 4.70884 | + | 23.6729i | 0.169146 | + | 0.850357i | ||||
\(776\) | 6.48037 | − | 25.6437i | 0.232632 | − | 0.920554i | ||||
\(777\) | −55.0612 | − | 10.9524i | −1.97531 | − | 0.392913i | ||||
\(778\) | −26.4255 | + | 10.4213i | −0.947400 | + | 0.373622i | ||||
\(779\) | −14.8313 | + | 9.90999i | −0.531388 | + | 0.355062i | ||||
\(780\) | −15.5155 | − | 7.05604i | −0.555544 | − | 0.252647i | ||||
\(781\) | −16.5136 | −0.590903 | ||||||||
\(782\) | −32.7100 | − | 23.3022i | −1.16971 | − | 0.833285i | ||||
\(783\) | 3.68237i | 0.131597i | ||||||||
\(784\) | 33.9472 | − | 11.4182i | 1.21240 | − | 0.407792i | ||||
\(785\) | 16.8282 | + | 25.1852i | 0.600626 | + | 0.898900i | ||||
\(786\) | 59.5250 | − | 23.4747i | 2.12319 | − | 0.837314i | ||||
\(787\) | −6.57472 | + | 33.0533i | −0.234363 | + | 1.17822i | 0.666965 | + | 0.745089i | \(0.267593\pi\) |
−0.901329 | + | 0.433136i | \(0.857407\pi\) | |||||||
\(788\) | −3.40691 | − | 20.8157i | −0.121366 | − | 0.741528i | ||||
\(789\) | 30.2046 | − | 6.00806i | 1.07531 | − | 0.213893i | ||||
\(790\) | 19.8301 | + | 20.5185i | 0.705524 | + | 0.730015i | ||||
\(791\) | 29.7492 | + | 12.3225i | 1.05776 | + | 0.438139i | ||||
\(792\) | −7.56003 | − | 12.6731i | −0.268634 | − | 0.450320i | ||||
\(793\) | −17.4676 | − | 11.6715i | −0.620294 | − | 0.414467i | ||||
\(794\) | 2.56667 | − | 3.70296i | 0.0910876 | − | 0.131413i | ||||
\(795\) | −8.72175 | − | 8.72175i | −0.309329 | − | 0.309329i | ||||
\(796\) | −8.39519 | + | 35.7796i | −0.297560 | + | 1.26817i | ||||
\(797\) | −3.63700 | − | 8.78050i | −0.128829 | − | 0.311021i | 0.846283 | − | 0.532734i | \(-0.178835\pi\) |
−0.975112 | + | 0.221713i | \(0.928835\pi\) | |||||||
\(798\) | 41.7345 | + | 18.1271i | 1.47739 | + | 0.641693i | ||||
\(799\) | 11.6873 | + | 11.9924i | 0.413466 | + | 0.424260i | ||||
\(800\) | 6.44809 | − | 12.4465i | 0.227974 | − | 0.440052i | ||||
\(801\) | 0.509319 | + | 1.22961i | 0.0179959 | + | 0.0434460i | ||||
\(802\) | −6.47506 | − | 35.7271i | −0.228642 | − | 1.26157i | ||||
\(803\) | −24.7515 | + | 24.7515i | −0.873463 | + | 0.873463i | ||||
\(804\) | 23.5450 | − | 14.5958i | 0.830369 | − | 0.514754i | ||||
\(805\) | 36.3265 | + | 24.2726i | 1.28034 | + | 0.855498i | ||||
\(806\) | 6.91641 | − | 31.9158i | 0.243620 | − | 1.12419i | ||||
\(807\) | −1.18052 | + | 2.85002i | −0.0415562 | + | 0.100325i | ||||
\(808\) | −0.738636 | + | 14.4205i | −0.0259851 | + | 0.507313i | ||||
\(809\) | −19.9757 | + | 3.97341i | −0.702308 | + | 0.139698i | −0.533311 | − | 0.845919i | \(-0.679053\pi\) |
−0.168996 | + | 0.985617i | \(0.554053\pi\) | |||||||
\(810\) | 20.5091 | − | 13.2034i | 0.720617 | − | 0.463919i | ||||
\(811\) | −43.7391 | − | 8.70024i | −1.53589 | − | 0.305507i | −0.646590 | − | 0.762838i | \(-0.723805\pi\) |
−0.889296 | + | 0.457331i | \(0.848805\pi\) | |||||||
\(812\) | 0.506049 | − | 14.8267i | 0.0177588 | − | 0.520316i | ||||
\(813\) | 1.47655 | + | 2.20981i | 0.0517849 | + | 0.0775016i | ||||
\(814\) | −0.367924 | + | 21.5659i | −0.0128957 | + | 0.755884i | ||||
\(815\) | −5.60385 | −0.196294 | ||||||||
\(816\) | 32.6196 | − | 18.1575i | 1.14192 | − | 0.635640i | ||||
\(817\) | 10.0854 | 0.352842 | ||||||||
\(818\) | −0.161639 | + | 9.47448i | −0.00565157 | + | 0.331267i | ||||
\(819\) | −11.1741 | − | 16.7232i | −0.390455 | − | 0.584357i | ||||
\(820\) | 0.543081 | − | 15.9117i | 0.0189652 | − | 0.555662i | ||||
\(821\) | 46.0889 | + | 9.16766i | 1.60851 | + | 0.319953i | 0.915916 | − | 0.401370i | \(-0.131466\pi\) |
0.692599 | + | 0.721323i | \(0.256466\pi\) | |||||||
\(822\) | −8.23322 | + | 5.30038i | −0.287166 | + | 0.184872i | ||||
\(823\) | 49.8672 | − | 9.91920i | 1.73826 | − | 0.345762i | 0.778729 | − | 0.627360i | \(-0.215865\pi\) |
0.959532 | + | 0.281599i | \(0.0908647\pi\) | |||||||
\(824\) | −0.748839 | − | 0.0383564i | −0.0260870 | − | 0.00133621i | ||||
\(825\) | 5.27267 | − | 12.7293i | 0.183571 | − | 0.443179i | ||||
\(826\) | 8.51644 | − | 39.2991i | 0.296325 | − | 1.36739i | ||||
\(827\) | −4.87246 | − | 3.25567i | −0.169432 | − | 0.113211i | 0.467963 | − | 0.883748i | \(-0.344988\pi\) |
−0.637395 | + | 0.770537i | \(0.719988\pi\) | |||||||
\(828\) | 24.8684 | − | 15.4162i | 0.864236 | − | 0.535749i | ||||
\(829\) | 1.74130 | − | 1.74130i | 0.0604779 | − | 0.0604779i | −0.676221 | − | 0.736699i | \(-0.736384\pi\) |
0.736699 | + | 0.676221i | \(0.236384\pi\) | |||||||
\(830\) | 6.93889 | + | 38.2863i | 0.240852 | + | 1.32894i | ||||
\(831\) | −22.2837 | − | 53.7976i | −0.773013 | − | 1.86622i | ||||
\(832\) | −14.7108 | + | 11.9703i | −0.510005 | + | 0.414996i | ||||
\(833\) | 13.6874 | + | 34.2872i | 0.474241 | + | 1.18798i | ||||
\(834\) | 26.1017 | + | 11.3371i | 0.903829 | + | 0.392572i | ||||
\(835\) | −7.74469 | − | 18.6973i | −0.268016 | − | 0.647048i | ||||
\(836\) | 3.99337 | − | 17.0194i | 0.138114 | − | 0.588629i | ||||
\(837\) | 13.6571 | + | 13.6571i | 0.472057 | + | 0.472057i | ||||
\(838\) | −5.27491 | + | 7.61016i | −0.182219 | + | 0.262888i | ||||
\(839\) | 25.9855 | + | 17.3630i | 0.897120 | + | 0.599436i | 0.916350 | − | 0.400379i | \(-0.131122\pi\) |
−0.0192301 | + | 0.999815i | \(0.506122\pi\) | |||||||
\(840\) | −34.8780 | + | 20.8061i | −1.20340 | + | 0.717880i | ||||
\(841\) | 23.6062 | + | 9.77803i | 0.814008 | + | 0.337173i | ||||
\(842\) | −29.9364 | − | 30.9756i | −1.03168 | − | 1.06749i | ||||
\(843\) | 6.45356 | − | 1.28369i | 0.222272 | − | 0.0442127i | ||||
\(844\) | 0.604823 | + | 3.69538i | 0.0208189 | + | 0.127200i | ||||
\(845\) | 2.28639 | − | 11.4945i | 0.0786543 | − | 0.395422i | ||||
\(846\) | −11.3490 | + | 4.47567i | −0.390187 | + | 0.153877i | ||||
\(847\) | 11.0211 | + | 16.4942i | 0.378688 | + | 0.566747i | ||||
\(848\) | −13.0085 | + | 4.37541i | −0.446712 | + | 0.150252i | ||||
\(849\) | 15.6404i | 0.536779i | ||||||||
\(850\) | 13.1777 | + | 5.92658i | 0.451990 | + | 0.203280i | ||||
\(851\) | −42.7662 | −1.46601 | ||||||||
\(852\) | 27.7059 | + | 12.5999i | 0.949187 | + | 0.431665i | ||||
\(853\) | −29.0938 | + | 19.4398i | −0.996152 | + | 0.665608i | −0.942936 | − | 0.332975i | \(-0.891947\pi\) |
−0.0532168 | + | 0.998583i | \(0.516947\pi\) | |||||||
\(854\) | −46.5661 | + | 18.3641i | −1.59346 | + | 0.628407i | ||||
\(855\) | −11.7727 | − | 2.34173i | −0.402617 | − | 0.0800856i | ||||
\(856\) | 14.4004 | + | 3.63909i | 0.492194 | + | 0.124382i | ||||
\(857\) | 4.73913 | + | 23.8252i | 0.161886 | + | 0.813854i | 0.973327 | + | 0.229421i | \(0.0736831\pi\) |
−0.811442 | + | 0.584433i | \(0.801317\pi\) | |||||||
\(858\) | −13.4045 | + | 12.9548i | −0.457624 | + | 0.442271i | ||||
\(859\) | 8.98480 | − | 21.6912i | 0.306557 | − | 0.740095i | −0.693254 | − | 0.720693i | \(-0.743824\pi\) |
0.999812 | − | 0.0194021i | \(-0.00617627\pi\) | |||||||
\(860\) | −5.25352 | + | 7.30975i | −0.179143 | + | 0.249260i | ||||
\(861\) | 25.1795 | − | 37.6837i | 0.858114 | − | 1.28426i | ||||
\(862\) | 17.2219 | − | 24.8462i | 0.586579 | − | 0.846263i | ||||
\(863\) | −39.7230 | + | 39.7230i | −1.35219 | + | 1.35219i | −0.468979 | + | 0.883210i | \(0.655378\pi\) |
−0.883210 | + | 0.468979i | \(0.844622\pi\) | |||||||
\(864\) | −1.24313 | − | 11.1477i | −0.0422921 | − | 0.379252i | ||||
\(865\) | 16.3591 | − | 6.77617i | 0.556227 | − | 0.230397i | ||||
\(866\) | −4.03129 | + | 9.28133i | −0.136989 | + | 0.315393i | ||||
\(867\) | 20.5478 | + | 32.5366i | 0.697841 | + | 1.10500i | ||||
\(868\) | −53.1121 | − | 56.8657i | −1.80274 | − | 1.93015i | ||||
\(869\) | 28.8329 | − | 11.9430i | 0.978090 | − | 0.405138i | ||||
\(870\) | 1.68367 | + | 9.28987i | 0.0570816 | + | 0.314956i | ||||
\(871\) | −10.2574 | − | 10.2574i | −0.347560 | − | 0.347560i | ||||
\(872\) | 3.99858 | + | 27.3497i | 0.135409 | + | 0.926179i | ||||
\(873\) | −11.0351 | + | 16.5153i | −0.373483 | + | 0.558957i | ||||
\(874\) | 33.8755 | + | 7.34111i | 1.14586 | + | 0.248317i | ||||
\(875\) | −43.8236 | − | 18.1523i | −1.48151 | − | 0.613661i | ||||
\(876\) | 60.4126 | − | 22.6417i | 2.04115 | − | 0.764992i | ||||
\(877\) | −0.834949 | − | 4.19757i | −0.0281942 | − | 0.141742i | 0.964124 | − | 0.265451i | \(-0.0855210\pi\) |
−0.992318 | + | 0.123709i | \(0.960521\pi\) | |||||||
\(878\) | −7.84877 | + | 5.05288i | −0.264883 | + | 0.170526i | ||||
\(879\) | −6.46194 | + | 32.4864i | −0.217956 | + | 1.09574i | ||||
\(880\) | 10.2553 | + | 11.7598i | 0.345706 | + | 0.396424i | ||||
\(881\) | 30.0537 | − | 20.0813i | 1.01254 | − | 0.676555i | 0.0655561 | − | 0.997849i | \(-0.479118\pi\) |
0.946979 | + | 0.321294i | \(0.104118\pi\) | |||||||
\(882\) | −26.8924 | − | 0.458797i | −0.905516 | − | 0.0154485i | ||||
\(883\) | 11.1632i | 0.375672i | 0.982200 | + | 0.187836i | \(0.0601474\pi\) | ||||
−0.982200 | + | 0.187836i | \(0.939853\pi\) | |||||||
\(884\) | −13.1587 | − | 14.4577i | −0.442576 | − | 0.486265i | ||||
\(885\) | 25.5904i | 0.860212i | ||||||||
\(886\) | 0.00211403 | − | 0.123914i | 7.10221e−5 | − | 0.00416297i | ||||
\(887\) | −24.1279 | + | 16.1217i | −0.810135 | + | 0.541315i | −0.890251 | − | 0.455471i | \(-0.849471\pi\) |
0.0801157 | + | 0.996786i | \(0.474471\pi\) | |||||||
\(888\) | 17.0721 | − | 35.9017i | 0.572902 | − | 1.20478i | ||||
\(889\) | −0.439659 | + | 2.21031i | −0.0147457 | + | 0.0741316i | ||||
\(890\) | −0.761764 | − | 1.18327i | −0.0255344 | − | 0.0396633i | ||||
\(891\) | −5.20444 | − | 26.1645i | −0.174355 | − | 0.876543i | ||||
\(892\) | −25.2543 | + | 9.46492i | −0.845577 | + | 0.316909i | ||||
\(893\) | −13.3522 | − | 5.53068i | −0.446816 | − | 0.185077i | ||||
\(894\) | 8.26902 | − | 38.1574i | 0.276557 | − | 1.27617i | ||||
\(895\) | −3.04448 | + | 4.55638i | −0.101766 | + | 0.152303i | ||||
\(896\) | 3.47338 | + | 45.0561i | 0.116037 | + | 1.50522i | ||||
\(897\) | −26.1360 | − | 26.1360i | −0.872654 | − | 0.872654i | ||||
\(898\) | 50.9550 | − | 9.23492i | 1.70039 | − | 0.308173i | ||||
\(899\) | −16.7119 | + | 6.92231i | −0.557374 | + | 0.230872i | ||||
\(900\) | −7.69305 | + | 7.18524i | −0.256435 | + | 0.239508i | ||||
\(901\) | −5.24498 | − | 13.1388i | −0.174736 | − | 0.437716i | ||||
\(902\) | −15.9713 | − | 6.93701i | −0.531785 | − | 0.230977i | ||||
\(903\) | −23.6745 | + | 9.80630i | −0.787838 | + | 0.326333i | ||||
\(904\) | −13.6213 | + | 18.2862i | −0.453038 | + | 0.608191i | ||||
\(905\) | 15.3060 | − | 15.3060i | 0.508788 | − | 0.508788i | ||||
\(906\) | 26.9886 | + | 18.7069i | 0.896637 | + | 0.621496i | ||||
\(907\) | 28.9723 | − | 43.3602i | 0.962011 | − | 1.43975i | 0.0649269 | − | 0.997890i | \(-0.479319\pi\) |
0.897084 | − | 0.441861i | \(-0.145681\pi\) | |||||||
\(908\) | −24.2702 | + | 33.7696i | −0.805435 | + | 1.12068i | ||||
\(909\) | 4.14960 | − | 10.0180i | 0.137634 | − | 0.332277i | ||||
\(910\) | 14.7791 | + | 15.2922i | 0.489924 | + | 0.506931i | ||||
\(911\) | 0.592380 | + | 2.97809i | 0.0196264 | + | 0.0986687i | 0.989357 | − | 0.145509i | \(-0.0464820\pi\) |
−0.969731 | + | 0.244178i | \(0.921482\pi\) | |||||||
\(912\) | −19.6858 | + | 25.5076i | −0.651861 | + | 0.844640i | ||||
\(913\) | 41.7380 | + | 8.30221i | 1.38133 | + | 0.274763i | ||||
\(914\) | −3.65038 | − | 9.25632i | −0.120744 | − | 0.306172i | ||||
\(915\) | 26.4872 | − | 17.6982i | 0.875639 | − | 0.585083i | ||||
\(916\) | −20.8621 | + | 45.8736i | −0.689304 | + | 1.51571i | ||||
\(917\) | −79.8368 | −2.63644 | ||||||||
\(918\) | 11.4023 | − | 1.91513i | 0.376332 | − | 0.0632088i | ||||
\(919\) | 6.84897i | 0.225927i | 0.993599 | + | 0.112963i | \(0.0360343\pi\) | ||||
−0.993599 | + | 0.112963i | \(0.963966\pi\) | |||||||
\(920\) | −22.9667 | + | 20.7286i | −0.757189 | + | 0.683400i | ||||
\(921\) | 33.3485 | + | 49.9096i | 1.09887 | + | 1.64458i | ||||
\(922\) | −7.21577 | − | 18.2971i | −0.237639 | − | 0.602584i | ||||
\(923\) | 3.10935 | − | 15.6318i | 0.102346 | − | 0.514526i | ||||
\(924\) | 7.17440 | + | 43.8344i | 0.236020 | + | 1.44205i | ||||
\(925\) | 15.0905 | − | 3.00169i | 0.496174 | − | 0.0986951i | ||||
\(926\) | 11.3574 | − | 10.9764i | 0.373227 | − | 0.360705i | ||||
\(927\) | 0.520222 | + | 0.215483i | 0.0170863 | + | 0.00707740i | ||||
\(928\) | 10.0914 | + | 2.91979i | 0.331266 | + | 0.0958467i | ||||
\(929\) | −13.6512 | − | 9.12141i | −0.447880 | − | 0.299264i | 0.311101 | − | 0.950377i | \(-0.399302\pi\) |
−0.758981 | + | 0.651113i | \(0.774302\pi\) | |||||||
\(930\) | 40.6983 | + | 28.2096i | 1.33455 | + | 0.925031i | ||||
\(931\) | −22.5304 | − | 22.5304i | −0.738405 | − | 0.738405i | ||||
\(932\) | 4.50967 | + | 1.05813i | 0.147719 | + | 0.0346603i | ||||
\(933\) | 5.84818 | + | 14.1188i | 0.191461 | + | 0.462227i | ||||
\(934\) | 12.6059 | − | 29.0229i | 0.412478 | − | 0.949660i | ||||
\(935\) | −11.5184 | + | 11.2253i | −0.376691 | + | 0.367108i | ||||
\(936\) | 13.4199 | − | 4.77010i | 0.438642 | − | 0.155916i | ||||
\(937\) | −12.9063 | − | 31.1586i | −0.421631 | − | 1.01791i | −0.981866 | − | 0.189575i | \(-0.939289\pi\) |
0.560235 | − | 0.828334i | \(-0.310711\pi\) | |||||||
\(938\) | −34.0101 | + | 6.16389i | −1.11047 | + | 0.201258i | ||||
\(939\) | −6.81482 | + | 6.81482i | −0.222393 | + | 0.222393i | ||||
\(940\) | 10.9638 | − | 6.79658i | 0.357600 | − | 0.221680i | ||||
\(941\) | −1.56839 | − | 1.04797i | −0.0511281 | − | 0.0341627i | 0.529744 | − | 0.848158i | \(-0.322288\pi\) |
−0.580872 | + | 0.813995i | \(0.697288\pi\) | |||||||
\(942\) | −59.6735 | − | 12.9317i | −1.94427 | − | 0.421339i | ||||
\(943\) | 13.2122 | − | 31.8971i | 0.430249 | − | 1.03871i | ||||
\(944\) | 25.5029 | + | 12.6651i | 0.830050 | + | 0.412214i | ||||
\(945\) | −12.3360 | + | 2.45379i | −0.401292 | + | 0.0798219i | ||||
\(946\) | 5.32927 | + | 8.27810i | 0.173269 | + | 0.269144i | ||||
\(947\) | 22.7008 | + | 4.51548i | 0.737678 | + | 0.146733i | 0.549609 | − | 0.835422i | \(-0.314777\pi\) |
0.188070 | + | 0.982156i | \(0.439777\pi\) | |||||||
\(948\) | −57.4873 | − | 1.96209i | −1.86710 | − | 0.0637257i | ||||
\(949\) | −18.7693 | − | 28.0903i | −0.609279 | − | 0.911850i | ||||
\(950\) | −12.4686 | − | 0.212721i | −0.404536 | − | 0.00690157i | ||||
\(951\) | −27.1045 | −0.878922 | ||||||||
\(952\) | −46.1735 | + | 6.14415i | −1.49649 | + | 0.199133i | ||||
\(953\) | 22.0527 | 0.714358 | 0.357179 | − | 0.934036i | \(-0.383739\pi\) | ||||
0.357179 | + | 0.934036i | \(0.383739\pi\) | |||||||
\(954\) | 10.3051 | + | 0.175810i | 0.333640 | + | 0.00569205i | ||||
\(955\) | 19.3502 | + | 28.9596i | 0.626157 | + | 0.937111i | ||||
\(956\) | −0.765664 | + | 22.4332i | −0.0247634 | + | 0.725542i | ||||
\(957\) | 10.1274 | + | 2.01447i | 0.327372 | + | 0.0651184i | ||||
\(958\) | 12.5705 | + | 19.5261i | 0.406135 | + | 0.630860i | ||||
\(959\) | 11.9826 | − | 2.38349i | 0.386939 | − | 0.0769669i | ||||
\(960\) | −8.23316 | − | 27.5550i | −0.265724 | − | 0.889334i | ||||
\(961\) | −24.4443 | + | 59.0137i | −0.788525 | + | 1.90367i | ||||
\(962\) | −20.3450 | − | 4.40893i | −0.655950 | − | 0.142150i | ||||
\(963\) | −9.27425 | − | 6.19685i | −0.298858 | − | 0.199691i | ||||
\(964\) | 5.92471 | + | 9.55737i | 0.190822 | + | 0.307822i | ||||
\(965\) | −1.54552 | + | 1.54552i | −0.0497521 | + | 0.0497521i | ||||
\(966\) | −86.6578 | + | 15.7056i | −2.78817 | + | 0.505319i | ||||
\(967\) | −21.2143 | − | 51.2160i | −0.682207 | − | 1.64699i | −0.759919 | − | 0.650018i | \(-0.774761\pi\) |
0.0777115 | − | 0.996976i | \(-0.475239\pi\) | |||||||
\(968\) | −13.2361 | + | 4.70478i | −0.425423 | + | 0.151217i | ||||
\(969\) | −27.3749 | − | 18.8060i | −0.879409 | − | 0.604134i | ||||
\(970\) | 8.36703 | − | 19.2636i | 0.268649 | − | 0.618518i | ||||
\(971\) | −0.393875 | − | 0.950898i | −0.0126401 | − | 0.0305158i | 0.917434 | − | 0.397889i | \(-0.130257\pi\) |
−0.930074 | + | 0.367373i | \(0.880257\pi\) | |||||||
\(972\) | −8.51402 | + | 36.2861i | −0.273087 | + | 1.16388i | ||||
\(973\) | −25.1071 | − | 25.1071i | −0.804895 | − | 0.804895i | ||||
\(974\) | −2.15299 | − | 1.49232i | −0.0689862 | − | 0.0478171i | ||||
\(975\) | 11.0568 | + | 7.38792i | 0.354101 | + | 0.236603i | ||||
\(976\) | −4.52876 | − | 35.1557i | −0.144962 | − | 1.12531i | ||||
\(977\) | 11.0562 | + | 4.57961i | 0.353718 | + | 0.146515i | 0.552465 | − | 0.833536i | \(-0.313687\pi\) |
−0.198747 | + | 0.980051i | \(0.563687\pi\) | |||||||
\(978\) | 8.12275 | − | 7.85024i | 0.259737 | − | 0.251023i | ||||
\(979\) | −1.50955 | + | 0.300269i | −0.0482455 | + | 0.00959662i | ||||
\(980\) | 28.0660 | − | 4.59357i | 0.896535 | − | 0.146736i | ||||
\(981\) | 4.04947 | − | 20.3580i | 0.129289 | − | 0.649982i | ||||
\(982\) | −4.49756 | − | 11.4045i | −0.143523 | − | 0.363933i | ||||
\(983\) | −11.5932 | − | 17.3504i | −0.369765 | − | 0.553393i | 0.599197 | − | 0.800602i | \(-0.295487\pi\) |
−0.968962 | + | 0.247209i | \(0.920487\pi\) | |||||||
\(984\) | 21.5030 | + | 23.8247i | 0.685490 | + | 0.759505i | ||||
\(985\) | − | 16.7484i | − | 0.533650i | ||||||
\(986\) | −2.42957 | + | 10.5525i | −0.0773732 | + | 0.336061i | ||||
\(987\) | 36.7208 | 1.16884 | ||||||||
\(988\) | 15.3587 | + | 6.98472i | 0.488625 | + | 0.222214i | ||||
\(989\) | −16.2308 | + | 10.8451i | −0.516110 | + | 0.344854i | ||||
\(990\) | −4.29877 | − | 10.9005i | −0.136624 | − | 0.346439i | ||||
\(991\) | −32.6899 | − | 6.50243i | −1.03843 | − | 0.206557i | −0.353704 | − | 0.935357i | \(-0.615078\pi\) |
−0.684726 | + | 0.728801i | \(0.740078\pi\) | |||||||
\(992\) | 48.2554 | − | 26.5978i | 1.53211 | − | 0.844481i | ||||
\(993\) | −3.58142 | − | 18.0050i | −0.113653 | − | 0.571371i | ||||
\(994\) | −26.3910 | − | 27.3071i | −0.837070 | − | 0.866128i | ||||
\(995\) | −11.1675 | + | 26.9607i | −0.354034 | + | 0.854713i | ||||
\(996\) | −63.6918 | − | 45.7753i | −2.01815 | − | 1.45045i | ||||
\(997\) | 3.46448 | − | 5.18496i | 0.109721 | − | 0.164209i | −0.772545 | − | 0.634960i | \(-0.781017\pi\) |
0.882267 | + | 0.470750i | \(0.156017\pi\) | |||||||
\(998\) | 32.5501 | + | 22.5618i | 1.03035 | + | 0.714180i | ||||
\(999\) | 8.70582 | − | 8.70582i | 0.275440 | − | 0.275440i |
(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 | 136.2.s.c.107.8 | yes | 112 | |
4.3 | odd | 2 | 544.2.cc.c.175.11 | 112 | |||
8.3 | odd | 2 | inner | 136.2.s.c.107.10 | yes | 112 | |
8.5 | even | 2 | 544.2.cc.c.175.12 | 112 | |||
17.7 | odd | 16 | inner | 136.2.s.c.75.10 | yes | 112 | |
68.7 | even | 16 | 544.2.cc.c.143.12 | 112 | |||
136.75 | even | 16 | inner | 136.2.s.c.75.8 | ✓ | 112 | |
136.109 | odd | 16 | 544.2.cc.c.143.11 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
136.2.s.c.75.8 | ✓ | 112 | 136.75 | even | 16 | inner | |
136.2.s.c.75.10 | yes | 112 | 17.7 | odd | 16 | inner | |
136.2.s.c.107.8 | yes | 112 | 1.1 | even | 1 | trivial | |
136.2.s.c.107.10 | yes | 112 | 8.3 | odd | 2 | inner | |
544.2.cc.c.143.11 | 112 | 136.109 | odd | 16 | |||
544.2.cc.c.143.12 | 112 | 68.7 | even | 16 | |||
544.2.cc.c.175.11 | 112 | 4.3 | odd | 2 | |||
544.2.cc.c.175.12 | 112 | 8.5 | even | 2 |