Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (of order \(21\), degree \(12\), 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: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 37.2 | ||
Character | \(\chi\) | \(=\) | 98.37 |
Dual form | 98.2.g.b.53.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{16}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.826239 | − | 0.563320i | 0.584239 | − | 0.398327i | ||||
\(3\) | 0.0584109 | − | 0.0541974i | 0.0337236 | − | 0.0312909i | −0.663131 | − | 0.748503i | \(-0.730773\pi\) |
0.696855 | + | 0.717212i | \(0.254582\pi\) | |||||||
\(4\) | 0.365341 | − | 0.930874i | 0.182671 | − | 0.465437i | ||||
\(5\) | −0.427005 | − | 0.131714i | −0.190962 | − | 0.0589041i | 0.197799 | − | 0.980243i | \(-0.436621\pi\) |
−0.388761 | + | 0.921339i | \(0.627097\pi\) | |||||||
\(6\) | 0.0177309 | − | 0.0776840i | 0.00723860 | − | 0.0317144i | ||||
\(7\) | 1.60505 | − | 2.10329i | 0.606652 | − | 0.794967i | ||||
\(8\) | −0.222521 | − | 0.974928i | −0.0786730 | − | 0.344689i | ||||
\(9\) | −0.223716 | + | 2.98528i | −0.0745719 | + | 0.995093i | ||||
\(10\) | −0.427005 | + | 0.131714i | −0.135031 | + | 0.0416515i | ||||
\(11\) | 0.349720 | + | 4.66669i | 0.105445 | + | 1.40706i | 0.759448 | + | 0.650568i | \(0.225469\pi\) |
−0.654003 | + | 0.756492i | \(0.726912\pi\) | |||||||
\(12\) | −0.0291110 | − | 0.0741737i | −0.00840363 | − | 0.0214121i | ||||
\(13\) | −6.27294 | − | 3.02089i | −1.73980 | − | 0.837844i | −0.982858 | − | 0.184362i | \(-0.940978\pi\) |
−0.756942 | − | 0.653482i | \(-0.773308\pi\) | |||||||
\(14\) | 0.141332 | − | 2.64197i | 0.0377727 | − | 0.706097i | ||||
\(15\) | −0.0320803 | + | 0.0154490i | −0.00828309 | + | 0.00398893i | ||||
\(16\) | −0.733052 | − | 0.680173i | −0.183263 | − | 0.170043i | ||||
\(17\) | 1.31740 | + | 0.198566i | 0.319516 | + | 0.0481593i | 0.306842 | − | 0.951760i | \(-0.400728\pi\) |
0.0126739 | + | 0.999920i | \(0.495966\pi\) | |||||||
\(18\) | 1.49683 | + | 2.59258i | 0.352805 | + | 0.611076i | ||||
\(19\) | −2.50434 | + | 4.33764i | −0.574535 | + | 0.995123i | 0.421557 | + | 0.906802i | \(0.361484\pi\) |
−0.996092 | + | 0.0883215i | \(0.971850\pi\) | |||||||
\(20\) | −0.278611 | + | 0.349367i | −0.0622993 | + | 0.0781209i | ||||
\(21\) | −0.0202401 | − | 0.209844i | −0.00441676 | − | 0.0457918i | ||||
\(22\) | 2.91779 | + | 3.65879i | 0.622075 | + | 0.780058i | ||||
\(23\) | 3.25634 | − | 0.490814i | 0.678993 | − | 0.102342i | 0.199514 | − | 0.979895i | \(-0.436064\pi\) |
0.479479 | + | 0.877553i | \(0.340826\pi\) | |||||||
\(24\) | −0.0658362 | − | 0.0448864i | −0.0134388 | − | 0.00916239i | ||||
\(25\) | −3.96621 | − | 2.70412i | −0.793242 | − | 0.540823i | ||||
\(26\) | −6.88467 | + | 1.03770i | −1.35020 | + | 0.203509i | ||||
\(27\) | 0.297769 | + | 0.373391i | 0.0573057 | + | 0.0718591i | ||||
\(28\) | −1.37150 | − | 2.26252i | −0.259190 | − | 0.427575i | ||||
\(29\) | 3.44313 | − | 4.31754i | 0.639373 | − | 0.801748i | −0.351552 | − | 0.936168i | \(-0.614346\pi\) |
0.990924 | + | 0.134421i | \(0.0429173\pi\) | |||||||
\(30\) | −0.0178032 | + | 0.0308361i | −0.00325041 | + | 0.00562987i | ||||
\(31\) | 2.08698 | + | 3.61476i | 0.374833 | + | 0.649230i | 0.990302 | − | 0.138931i | \(-0.0443667\pi\) |
−0.615469 | + | 0.788161i | \(0.711033\pi\) | |||||||
\(32\) | −0.988831 | − | 0.149042i | −0.174802 | − | 0.0263472i | ||||
\(33\) | 0.273350 | + | 0.253632i | 0.0475841 | + | 0.0441516i | ||||
\(34\) | 1.20034 | − | 0.578055i | 0.205857 | − | 0.0991355i | ||||
\(35\) | −0.962396 | + | 0.686706i | −0.162675 | + | 0.116075i | ||||
\(36\) | 2.69719 | + | 1.29890i | 0.449531 | + | 0.216483i | ||||
\(37\) | 0.654285 | + | 1.66709i | 0.107564 | + | 0.274068i | 0.974514 | − | 0.224327i | \(-0.0720183\pi\) |
−0.866950 | + | 0.498395i | \(0.833923\pi\) | |||||||
\(38\) | 0.374299 | + | 4.99467i | 0.0607193 | + | 0.810243i | ||||
\(39\) | −0.530133 | + | 0.163524i | −0.0848891 | + | 0.0261848i | ||||
\(40\) | −0.0333937 | + | 0.445608i | −0.00528001 | + | 0.0704568i | ||||
\(41\) | −1.12713 | − | 4.93827i | −0.176028 | − | 0.771228i | −0.983439 | − | 0.181239i | \(-0.941989\pi\) |
0.807411 | − | 0.589989i | \(-0.200868\pi\) | |||||||
\(42\) | −0.134933 | − | 0.161980i | −0.0208206 | − | 0.0249940i | ||||
\(43\) | 1.75596 | − | 7.69334i | 0.267781 | − | 1.17322i | −0.644808 | − | 0.764345i | \(-0.723063\pi\) |
0.912588 | − | 0.408879i | \(-0.134080\pi\) | |||||||
\(44\) | 4.47187 | + | 1.37939i | 0.674159 | + | 0.207951i | ||||
\(45\) | 0.488730 | − | 1.24526i | 0.0728555 | − | 0.185633i | ||||
\(46\) | 2.41403 | − | 2.23989i | 0.355929 | − | 0.330253i | ||||
\(47\) | 4.41364 | − | 3.00917i | 0.643796 | − | 0.438933i | −0.196912 | − | 0.980421i | \(-0.563091\pi\) |
0.840708 | + | 0.541488i | \(0.182139\pi\) | |||||||
\(48\) | −0.0796818 | −0.0115011 | ||||||||
\(49\) | −1.84762 | − | 6.75176i | −0.263946 | − | 0.964537i | ||||
\(50\) | −4.80032 | −0.678868 | ||||||||
\(51\) | 0.0877122 | − | 0.0598012i | 0.0122822 | − | 0.00837384i | ||||
\(52\) | −5.10383 | + | 4.73566i | −0.707774 | + | 0.656718i | ||||
\(53\) | −3.28856 | + | 8.37913i | −0.451719 | + | 1.15096i | 0.505815 | + | 0.862642i | \(0.331192\pi\) |
−0.957534 | + | 0.288320i | \(0.906903\pi\) | |||||||
\(54\) | 0.456367 | + | 0.140771i | 0.0621037 | + | 0.0191565i | ||||
\(55\) | 0.465334 | − | 2.03876i | 0.0627456 | − | 0.274907i | ||||
\(56\) | −2.40771 | − | 1.09678i | −0.321744 | − | 0.146564i | ||||
\(57\) | 0.0888082 | + | 0.389094i | 0.0117629 | + | 0.0515368i | ||||
\(58\) | 0.412686 | − | 5.50691i | 0.0541883 | − | 0.723092i | ||||
\(59\) | 9.60843 | − | 2.96381i | 1.25091 | − | 0.385855i | 0.402611 | − | 0.915371i | \(-0.368103\pi\) |
0.848300 | + | 0.529516i | \(0.177626\pi\) | |||||||
\(60\) | 0.00266087 | + | 0.0355069i | 0.000343517 | + | 0.00458392i | ||||
\(61\) | −2.27134 | − | 5.78727i | −0.290815 | − | 0.740985i | −0.999376 | − | 0.0353346i | \(-0.988750\pi\) |
0.708561 | − | 0.705650i | \(-0.249345\pi\) | |||||||
\(62\) | 3.76061 | + | 1.81101i | 0.477598 | + | 0.229999i | ||||
\(63\) | 5.91982 | + | 5.26207i | 0.745827 | + | 0.662958i | ||||
\(64\) | −0.900969 | + | 0.433884i | −0.112621 | + | 0.0542355i | ||||
\(65\) | 2.28068 | + | 2.11617i | 0.282884 | + | 0.262478i | ||||
\(66\) | 0.368728 | + | 0.0555768i | 0.0453873 | + | 0.00684103i | ||||
\(67\) | −0.329108 | − | 0.570033i | −0.0402070 | − | 0.0696406i | 0.845222 | − | 0.534416i | \(-0.179468\pi\) |
−0.885429 | + | 0.464775i | \(0.846135\pi\) | |||||||
\(68\) | 0.666140 | − | 1.15379i | 0.0807813 | − | 0.139917i | ||||
\(69\) | 0.163605 | − | 0.205154i | 0.0196957 | − | 0.0246976i | ||||
\(70\) | −0.408333 | + | 1.10952i | −0.0488052 | + | 0.132613i | ||||
\(71\) | 0.158558 | + | 0.198826i | 0.0188174 | + | 0.0235963i | 0.791151 | − | 0.611621i | \(-0.209482\pi\) |
−0.772334 | + | 0.635217i | \(0.780911\pi\) | |||||||
\(72\) | 2.96021 | − | 0.446181i | 0.348865 | − | 0.0525829i | ||||
\(73\) | −3.38108 | − | 2.30518i | −0.395726 | − | 0.269801i | 0.349066 | − | 0.937098i | \(-0.386499\pi\) |
−0.744792 | + | 0.667297i | \(0.767451\pi\) | |||||||
\(74\) | 1.47970 | + | 1.00884i | 0.172012 | + | 0.117276i | ||||
\(75\) | −0.378226 | + | 0.0570084i | −0.0436738 | + | 0.00658276i | ||||
\(76\) | 3.12286 | + | 3.91594i | 0.358217 | + | 0.449189i | ||||
\(77\) | 10.3767 | + | 6.75471i | 1.18253 | + | 0.769771i | ||||
\(78\) | −0.345900 | + | 0.433744i | −0.0391654 | + | 0.0491119i | ||||
\(79\) | −0.928280 | + | 1.60783i | −0.104440 | + | 0.180895i | −0.913509 | − | 0.406818i | \(-0.866638\pi\) |
0.809069 | + | 0.587713i | \(0.199972\pi\) | |||||||
\(80\) | 0.223429 | + | 0.386990i | 0.0249801 | + | 0.0432668i | ||||
\(81\) | −8.84301 | − | 1.33287i | −0.982557 | − | 0.148097i | ||||
\(82\) | −3.71310 | − | 3.44525i | −0.410043 | − | 0.380465i | ||||
\(83\) | −14.1140 | + | 6.79694i | −1.54921 | + | 0.746061i | −0.996199 | − | 0.0871112i | \(-0.972236\pi\) |
−0.553013 | + | 0.833172i | \(0.686522\pi\) | |||||||
\(84\) | −0.202733 | − | 0.0578238i | −0.0221200 | − | 0.00630909i | ||||
\(85\) | −0.536382 | − | 0.258308i | −0.0581788 | − | 0.0280174i | ||||
\(86\) | −2.88298 | − | 7.34570i | −0.310879 | − | 0.792108i | ||||
\(87\) | −0.0328835 | − | 0.438800i | −0.00352548 | − | 0.0470443i | ||||
\(88\) | 4.47187 | − | 1.37939i | 0.476702 | − | 0.147043i | ||||
\(89\) | −0.616956 | + | 8.23271i | −0.0653972 | + | 0.872666i | 0.863978 | + | 0.503529i | \(0.167965\pi\) |
−0.929375 | + | 0.369136i | \(0.879654\pi\) | |||||||
\(90\) | −0.297674 | − | 1.30420i | −0.0313776 | − | 0.137474i | ||||
\(91\) | −16.4222 | + | 8.34511i | −1.72151 | + | 0.874805i | ||||
\(92\) | 0.732787 | − | 3.21055i | 0.0763984 | − | 0.334723i | ||||
\(93\) | 0.317813 | + | 0.0980323i | 0.0329557 | + | 0.0101655i | ||||
\(94\) | 1.95160 | − | 4.97259i | 0.201292 | − | 0.512883i | ||||
\(95\) | 1.64069 | − | 1.52234i | 0.168331 | − | 0.156189i | ||||
\(96\) | −0.0658362 | + | 0.0448864i | −0.00671938 | + | 0.00458120i | ||||
\(97\) | 16.8099 | 1.70679 | 0.853393 | − | 0.521269i | \(-0.174541\pi\) | ||||
0.853393 | + | 0.521269i | \(0.174541\pi\) | |||||||
\(98\) | −5.32998 | − | 4.53777i | −0.538409 | − | 0.458384i | ||||
\(99\) | −14.0096 | −1.40802 | ||||||||
\(100\) | −3.96621 | + | 2.70412i | −0.396621 | + | 0.270412i | ||||
\(101\) | −10.7213 | + | 9.94792i | −1.06681 | + | 0.989855i | −0.999969 | − | 0.00790853i | \(-0.997483\pi\) |
−0.0668413 | + | 0.997764i | \(0.521292\pi\) | |||||||
\(102\) | 0.0387840 | − | 0.0988201i | 0.00384019 | − | 0.00978465i | ||||
\(103\) | 6.50170 | + | 2.00551i | 0.640631 | + | 0.197609i | 0.598017 | − | 0.801483i | \(-0.295955\pi\) |
0.0426137 | + | 0.999092i | \(0.486432\pi\) | |||||||
\(104\) | −1.54929 | + | 6.78788i | −0.151920 | + | 0.665606i | ||||
\(105\) | −0.0189967 | + | 0.0922705i | −0.00185389 | + | 0.00900468i | ||||
\(106\) | 2.00299 | + | 8.77567i | 0.194548 | + | 0.852369i | ||||
\(107\) | −0.120187 | + | 1.60379i | −0.0116190 | + | 0.155044i | 0.988376 | + | 0.152026i | \(0.0485798\pi\) |
−0.999995 | + | 0.00301816i | \(0.999039\pi\) | |||||||
\(108\) | 0.456367 | − | 0.140771i | 0.0439140 | − | 0.0135457i | ||||
\(109\) | −0.177976 | − | 2.37493i | −0.0170470 | − | 0.227477i | −0.999220 | − | 0.0394960i | \(-0.987425\pi\) |
0.982173 | − | 0.187981i | \(-0.0601943\pi\) | |||||||
\(110\) | −0.763998 | − | 1.94664i | −0.0728444 | − | 0.185604i | ||||
\(111\) | 0.128569 | + | 0.0619158i | 0.0122033 | + | 0.00587678i | ||||
\(112\) | −2.60718 | + | 0.450106i | −0.246356 | + | 0.0425310i | ||||
\(113\) | −6.42208 | + | 3.09271i | −0.604139 | + | 0.290938i | −0.710840 | − | 0.703353i | \(-0.751685\pi\) |
0.106702 | + | 0.994291i | \(0.465971\pi\) | |||||||
\(114\) | 0.292561 | + | 0.271457i | 0.0274009 | + | 0.0254243i | ||||
\(115\) | −1.45512 | − | 0.219324i | −0.135690 | − | 0.0204520i | ||||
\(116\) | −2.76117 | − | 4.78249i | −0.256369 | − | 0.444043i | ||||
\(117\) | 10.4216 | − | 18.0507i | 0.963473 | − | 1.66878i | ||||
\(118\) | 6.26929 | − | 7.86144i | 0.577135 | − | 0.723704i | ||||
\(119\) | 2.53213 | − | 2.45216i | 0.232120 | − | 0.224789i | ||||
\(120\) | 0.0222002 | + | 0.0278382i | 0.00202660 | + | 0.00254127i | ||||
\(121\) | −10.7785 | + | 1.62460i | −0.979867 | + | 0.147691i | ||||
\(122\) | −5.13676 | − | 3.50218i | −0.465060 | − | 0.317073i | ||||
\(123\) | −0.333478 | − | 0.227361i | −0.0300687 | − | 0.0205005i | ||||
\(124\) | 4.12734 | − | 0.622097i | 0.370646 | − | 0.0558660i | ||||
\(125\) | 2.73048 | + | 3.42391i | 0.244221 | + | 0.306244i | ||||
\(126\) | 7.85541 | + | 1.01297i | 0.699816 | + | 0.0902424i | ||||
\(127\) | 0.797487 | − | 1.00002i | 0.0707655 | − | 0.0887371i | −0.745189 | − | 0.666854i | \(-0.767641\pi\) |
0.815954 | + | 0.578116i | \(0.196212\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −0.314392 | − | 0.544544i | −0.0276807 | − | 0.0479444i | ||||
\(130\) | 3.07647 | + | 0.463703i | 0.269824 | + | 0.0406695i | ||||
\(131\) | 9.62518 | + | 8.93086i | 0.840956 | + | 0.780293i | 0.977632 | − | 0.210323i | \(-0.0674514\pi\) |
−0.136676 | + | 0.990616i | \(0.543642\pi\) | |||||||
\(132\) | 0.335965 | − | 0.161792i | 0.0292420 | − | 0.0140822i | ||||
\(133\) | 5.10371 | + | 12.2295i | 0.442548 | + | 1.06043i | ||||
\(134\) | −0.593033 | − | 0.285590i | −0.0512302 | − | 0.0246712i | ||||
\(135\) | −0.0779683 | − | 0.198660i | −0.00671045 | − | 0.0170979i | ||||
\(136\) | −0.0995614 | − | 1.32855i | −0.00853732 | − | 0.113923i | ||||
\(137\) | 7.29079 | − | 2.24891i | 0.622894 | − | 0.192137i | 0.0327869 | − | 0.999462i | \(-0.489562\pi\) |
0.590107 | + | 0.807325i | \(0.299086\pi\) | |||||||
\(138\) | 0.0196093 | − | 0.261668i | 0.00166925 | − | 0.0222746i | ||||
\(139\) | 1.24055 | + | 5.43520i | 0.105222 | + | 0.461008i | 0.999898 | + | 0.0142920i | \(0.00454943\pi\) |
−0.894676 | + | 0.446716i | \(0.852593\pi\) | |||||||
\(140\) | 0.287634 | + | 1.14675i | 0.0243095 | + | 0.0969182i | ||||
\(141\) | 0.0947157 | − | 0.414976i | 0.00797650 | − | 0.0349473i | ||||
\(142\) | 0.243009 | + | 0.0749585i | 0.0203929 | + | 0.00629038i | ||||
\(143\) | 11.9038 | − | 30.3303i | 0.995444 | − | 2.53635i | ||||
\(144\) | 2.19450 | − | 2.03620i | 0.182875 | − | 0.169683i | ||||
\(145\) | −2.03891 | + | 1.39011i | −0.169322 | + | 0.115442i | ||||
\(146\) | −4.09214 | −0.338668 | ||||||||
\(147\) | −0.473849 | − | 0.294240i | −0.0390824 | − | 0.0242685i | ||||
\(148\) | 1.79089 | 0.147210 | ||||||||
\(149\) | −0.628444 | + | 0.428466i | −0.0514841 | + | 0.0351013i | −0.588789 | − | 0.808287i | \(-0.700395\pi\) |
0.537305 | + | 0.843388i | \(0.319443\pi\) | |||||||
\(150\) | −0.280391 | + | 0.260165i | −0.0228938 | + | 0.0212424i | ||||
\(151\) | 6.90648 | − | 17.5974i | 0.562041 | − | 1.43206i | −0.313815 | − | 0.949484i | \(-0.601607\pi\) |
0.875856 | − | 0.482573i | \(-0.160298\pi\) | |||||||
\(152\) | 4.78616 | + | 1.47633i | 0.388208 | + | 0.119746i | ||||
\(153\) | −0.887498 | + | 3.88838i | −0.0717500 | + | 0.314357i | ||||
\(154\) | 12.3787 | − | 0.264397i | 0.997504 | − | 0.0213057i | ||||
\(155\) | −0.415039 | − | 1.81840i | −0.0333367 | − | 0.146058i | ||||
\(156\) | −0.0414587 | + | 0.553229i | −0.00331936 | + | 0.0442937i | ||||
\(157\) | 6.73590 | − | 2.07775i | 0.537583 | − | 0.165823i | −0.0140622 | − | 0.999901i | \(-0.504476\pi\) |
0.551646 | + | 0.834079i | \(0.314000\pi\) | |||||||
\(158\) | 0.138741 | + | 1.85137i | 0.0110376 | + | 0.147287i | ||||
\(159\) | 0.262039 | + | 0.667664i | 0.0207810 | + | 0.0529492i | ||||
\(160\) | 0.402605 | + | 0.193884i | 0.0318287 | + | 0.0153279i | ||||
\(161\) | 4.19426 | − | 7.63678i | 0.330554 | − | 0.601863i | ||||
\(162\) | −8.05727 | + | 3.88018i | −0.633039 | + | 0.304856i | ||||
\(163\) | −13.1752 | − | 12.2248i | −1.03196 | − | 0.957518i | −0.0328387 | − | 0.999461i | \(-0.510455\pi\) |
−0.999120 | + | 0.0419429i | \(0.986645\pi\) | |||||||
\(164\) | −5.00869 | − | 0.754938i | −0.391113 | − | 0.0589508i | ||||
\(165\) | −0.0833150 | − | 0.144306i | −0.00648607 | − | 0.0112342i | ||||
\(166\) | −7.83268 | + | 13.5666i | −0.607933 | + | 1.05297i | ||||
\(167\) | 2.88240 | − | 3.61441i | 0.223047 | − | 0.279692i | −0.657699 | − | 0.753280i | \(-0.728470\pi\) |
0.880746 | + | 0.473589i | \(0.157042\pi\) | |||||||
\(168\) | −0.200079 | + | 0.0664274i | −0.0154365 | + | 0.00512499i | ||||
\(169\) | 22.1186 | + | 27.7359i | 1.70143 | + | 2.13353i | ||||
\(170\) | −0.588690 | + | 0.0887307i | −0.0451505 | + | 0.00680534i | ||||
\(171\) | −12.3888 | − | 8.44655i | −0.947396 | − | 0.645924i | ||||
\(172\) | −6.52001 | − | 4.44527i | −0.497146 | − | 0.338948i | ||||
\(173\) | −5.54945 | + | 0.836445i | −0.421917 | + | 0.0635937i | −0.356569 | − | 0.934269i | \(-0.616054\pi\) |
−0.0653473 | + | 0.997863i | \(0.520816\pi\) | |||||||
\(174\) | −0.274355 | − | 0.344030i | −0.0207988 | − | 0.0260808i | ||||
\(175\) | −12.0535 | + | 4.00183i | −0.911159 | + | 0.302510i | ||||
\(176\) | 2.91779 | − | 3.65879i | 0.219937 | − | 0.275792i | ||||
\(177\) | 0.400607 | − | 0.693871i | 0.0301114 | − | 0.0521545i | ||||
\(178\) | 4.12790 | + | 7.14973i | 0.309399 | + | 0.535895i | ||||
\(179\) | 14.2861 | + | 2.15328i | 1.06779 | + | 0.160943i | 0.659346 | − | 0.751840i | \(-0.270833\pi\) |
0.408444 | + | 0.912783i | \(0.366072\pi\) | |||||||
\(180\) | −0.980630 | − | 0.909891i | −0.0730918 | − | 0.0678193i | ||||
\(181\) | 12.2188 | − | 5.88427i | 0.908217 | − | 0.437374i | 0.0793670 | − | 0.996845i | \(-0.474710\pi\) |
0.828850 | + | 0.559471i | \(0.188996\pi\) | |||||||
\(182\) | −8.86768 | + | 16.1460i | −0.657316 | + | 1.19682i | ||||
\(183\) | −0.446326 | − | 0.214939i | −0.0329934 | − | 0.0158888i | ||||
\(184\) | −1.20311 | − | 3.06548i | −0.0886945 | − | 0.225990i | ||||
\(185\) | −0.0598044 | − | 0.798034i | −0.00439691 | − | 0.0586727i | ||||
\(186\) | 0.317813 | − | 0.0980323i | 0.0233032 | − | 0.00718808i | ||||
\(187\) | −0.465925 | + | 6.21733i | −0.0340718 | + | 0.454657i | ||||
\(188\) | −1.18867 | − | 5.20792i | −0.0866929 | − | 0.379827i | ||||
\(189\) | 1.26328 | − | 0.0269825i | 0.0918903 | − | 0.00196269i | ||||
\(190\) | 0.498039 | − | 2.18205i | 0.0361315 | − | 0.158303i | ||||
\(191\) | −19.5264 | − | 6.02311i | −1.41288 | − | 0.435817i | −0.507956 | − | 0.861383i | \(-0.669599\pi\) |
−0.904927 | + | 0.425567i | \(0.860075\pi\) | |||||||
\(192\) | −0.0291110 | + | 0.0741737i | −0.00210091 | + | 0.00535303i | ||||
\(193\) | 8.80560 | − | 8.17040i | 0.633841 | − | 0.588118i | −0.296402 | − | 0.955063i | \(-0.595787\pi\) |
0.930243 | + | 0.366945i | \(0.119596\pi\) | |||||||
\(194\) | 13.8890 | − | 9.46934i | 0.997170 | − | 0.679859i | ||||
\(195\) | 0.247908 | 0.0177530 | ||||||||
\(196\) | −6.96005 | − | 0.746793i | −0.497146 | − | 0.0533423i | ||||
\(197\) | −17.1323 | −1.22063 | −0.610314 | − | 0.792159i | \(-0.708957\pi\) | ||||
−0.610314 | + | 0.792159i | \(0.708957\pi\) | |||||||
\(198\) | −11.5753 | + | 7.89189i | −0.822620 | + | 0.560853i | ||||
\(199\) | −16.4502 | + | 15.2636i | −1.16613 | + | 1.08201i | −0.170813 | + | 0.985303i | \(0.554639\pi\) |
−0.995313 | + | 0.0967036i | \(0.969170\pi\) | |||||||
\(200\) | −1.75375 | + | 4.46849i | −0.124009 | + | 0.315970i | ||||
\(201\) | −0.0501178 | − | 0.0154593i | −0.00353504 | − | 0.00109041i | ||||
\(202\) | −3.25450 | + | 14.2589i | −0.228986 | + | 1.00325i | ||||
\(203\) | −3.55464 | − | 14.1718i | −0.249487 | − | 0.994663i | ||||
\(204\) | −0.0236225 | − | 0.103497i | −0.00165390 | − | 0.00724623i | ||||
\(205\) | −0.169148 | + | 2.25712i | −0.0118138 | + | 0.157644i | ||||
\(206\) | 6.50170 | − | 2.00551i | 0.452995 | − | 0.139730i | ||||
\(207\) | 0.736722 | + | 9.83087i | 0.0512057 | + | 0.683293i | ||||
\(208\) | 2.54366 | + | 6.48115i | 0.176371 | + | 0.449387i | ||||
\(209\) | −21.1182 | − | 10.1700i | −1.46078 | − | 0.703474i | ||||
\(210\) | 0.0362820 | + | 0.0869387i | 0.00250370 | + | 0.00599934i | ||||
\(211\) | −12.4802 | + | 6.01014i | −0.859171 | + | 0.413755i | −0.810973 | − | 0.585083i | \(-0.801062\pi\) |
−0.0481974 | + | 0.998838i | \(0.515348\pi\) | |||||||
\(212\) | 6.59846 | + | 6.12248i | 0.453184 | + | 0.420493i | ||||
\(213\) | 0.0200374 | + | 0.00302015i | 0.00137294 | + | 0.000206937i | ||||
\(214\) | 0.804143 | + | 1.39282i | 0.0549701 | + | 0.0952110i | ||||
\(215\) | −1.76312 | + | 3.05381i | −0.120244 | + | 0.208268i | ||||
\(216\) | 0.297769 | − | 0.373391i | 0.0202606 | − | 0.0254060i | ||||
\(217\) | 10.9526 | + | 1.41235i | 0.743510 | + | 0.0958768i | ||||
\(218\) | −1.48489 | − | 1.86200i | −0.100570 | − | 0.126111i | ||||
\(219\) | −0.322427 | + | 0.0485980i | −0.0217876 | + | 0.00328395i | ||||
\(220\) | −1.72782 | − | 1.17801i | −0.116490 | − | 0.0794215i | ||||
\(221\) | −7.66412 | − | 5.22531i | −0.515545 | − | 0.351492i | ||||
\(222\) | 0.141107 | − | 0.0212685i | 0.00947051 | − | 0.00142745i | ||||
\(223\) | 11.3851 | + | 14.2764i | 0.762400 | + | 0.956019i | 0.999882 | − | 0.0153728i | \(-0.00489351\pi\) |
−0.237482 | + | 0.971392i | \(0.576322\pi\) | |||||||
\(224\) | −1.90060 | + | 1.84057i | −0.126989 | + | 0.122978i | ||||
\(225\) | 8.95985 | − | 11.2353i | 0.597323 | − | 0.749019i | ||||
\(226\) | −3.56399 | + | 6.17300i | −0.237073 | + | 0.410622i | ||||
\(227\) | 2.09787 | + | 3.63361i | 0.139240 | + | 0.241171i | 0.927209 | − | 0.374544i | \(-0.122201\pi\) |
−0.787969 | + | 0.615715i | \(0.788867\pi\) | |||||||
\(228\) | 0.394643 | + | 0.0594828i | 0.0261359 | + | 0.00393935i | ||||
\(229\) | −2.45056 | − | 2.27379i | −0.161938 | − | 0.150256i | 0.595042 | − | 0.803695i | \(-0.297135\pi\) |
−0.756980 | + | 0.653438i | \(0.773326\pi\) | |||||||
\(230\) | −1.32582 | + | 0.638483i | −0.0874223 | + | 0.0421003i | ||||
\(231\) | 0.972200 | − | 0.167841i | 0.0639661 | − | 0.0110431i | ||||
\(232\) | −4.97546 | − | 2.39606i | −0.326655 | − | 0.157309i | ||||
\(233\) | 8.22323 | + | 20.9524i | 0.538722 | + | 1.37264i | 0.898241 | + | 0.439503i | \(0.144845\pi\) |
−0.359519 | + | 0.933138i | \(0.617059\pi\) | |||||||
\(234\) | −1.55761 | − | 20.7848i | −0.101824 | − | 1.35875i | ||||
\(235\) | −2.28100 | + | 0.703594i | −0.148796 | + | 0.0458974i | ||||
\(236\) | 0.751423 | − | 10.0270i | 0.0489134 | − | 0.652705i | ||||
\(237\) | 0.0329184 | + | 0.144225i | 0.00213828 | + | 0.00936843i | ||||
\(238\) | 0.710797 | − | 3.45247i | 0.0460741 | − | 0.223790i | ||||
\(239\) | 2.97591 | − | 13.0383i | 0.192495 | − | 0.843377i | −0.782765 | − | 0.622318i | \(-0.786191\pi\) |
0.975260 | − | 0.221060i | \(-0.0709516\pi\) | |||||||
\(240\) | 0.0340245 | + | 0.0104952i | 0.00219627 | + | 0.000677461i | ||||
\(241\) | −3.87545 | + | 9.87448i | −0.249640 | + | 0.636071i | −0.999679 | − | 0.0253213i | \(-0.991939\pi\) |
0.750040 | + | 0.661393i | \(0.230034\pi\) | |||||||
\(242\) | −7.99048 | + | 7.41408i | −0.513647 | + | 0.476595i | ||||
\(243\) | −1.77256 | + | 1.20851i | −0.113710 | + | 0.0775262i | ||||
\(244\) | −6.21704 | −0.398005 | ||||||||
\(245\) | −0.100355 | + | 3.12639i | −0.00641145 | + | 0.199738i | ||||
\(246\) | −0.403609 | −0.0257332 | ||||||||
\(247\) | 28.8131 | − | 19.6444i | 1.83333 | − | 1.24995i | ||||
\(248\) | 3.05973 | − | 2.83902i | 0.194293 | − | 0.180278i | ||||
\(249\) | −0.456035 | + | 1.16196i | −0.0289000 | + | 0.0736360i | ||||
\(250\) | 4.18478 | + | 1.29084i | 0.264669 | + | 0.0816396i | ||||
\(251\) | −1.74996 | + | 7.66707i | −0.110456 | + | 0.483941i | 0.889195 | + | 0.457529i | \(0.151265\pi\) |
−0.999651 | + | 0.0264122i | \(0.991592\pi\) | |||||||
\(252\) | 7.06107 | − | 3.58816i | 0.444806 | − | 0.226033i | ||||
\(253\) | 3.42928 | + | 15.0247i | 0.215597 | + | 0.944592i | ||||
\(254\) | 0.0955849 | − | 1.27549i | 0.00599753 | − | 0.0800315i | ||||
\(255\) | −0.0453302 | + | 0.0139825i | −0.00283869 | + | 0.000875619i | ||||
\(256\) | 0.0747301 | + | 0.997204i | 0.00467063 | + | 0.0623252i | ||||
\(257\) | −6.82645 | − | 17.3935i | −0.425822 | − | 1.08498i | −0.969371 | − | 0.245600i | \(-0.921015\pi\) |
0.543549 | − | 0.839377i | \(-0.317080\pi\) | |||||||
\(258\) | −0.566515 | − | 0.272819i | −0.0352697 | − | 0.0169850i | ||||
\(259\) | 4.55653 | + | 1.29962i | 0.283129 | + | 0.0807543i | ||||
\(260\) | 2.80311 | − | 1.34991i | 0.173842 | − | 0.0837177i | ||||
\(261\) | 12.1188 | + | 11.2446i | 0.750135 | + | 0.696023i | ||||
\(262\) | 12.9836 | + | 1.95697i | 0.802132 | + | 0.120902i | ||||
\(263\) | 4.20012 | + | 7.27483i | 0.258991 | + | 0.448585i | 0.965972 | − | 0.258647i | \(-0.0832768\pi\) |
−0.706981 | + | 0.707232i | \(0.749943\pi\) | |||||||
\(264\) | 0.186446 | − | 0.322935i | 0.0114750 | − | 0.0198753i | ||||
\(265\) | 2.50788 | − | 3.14478i | 0.154058 | − | 0.193182i | ||||
\(266\) | 11.1060 | + | 7.22945i | 0.680952 | + | 0.443266i | ||||
\(267\) | 0.410155 | + | 0.514318i | 0.0251010 | + | 0.0314757i | ||||
\(268\) | −0.650865 | + | 0.0981021i | −0.0397579 | + | 0.00599254i | ||||
\(269\) | −10.9912 | − | 7.49367i | −0.670145 | − | 0.456897i | 0.179846 | − | 0.983695i | \(-0.442440\pi\) |
−0.849991 | + | 0.526798i | \(0.823392\pi\) | |||||||
\(270\) | −0.176330 | − | 0.120220i | −0.0107311 | − | 0.00731633i | ||||
\(271\) | −1.25232 | + | 0.188757i | −0.0760729 | + | 0.0114661i | −0.186968 | − | 0.982366i | \(-0.559866\pi\) |
0.110896 | + | 0.993832i | \(0.464628\pi\) | |||||||
\(272\) | −0.830663 | − | 1.04162i | −0.0503663 | − | 0.0631574i | ||||
\(273\) | −0.506952 | + | 1.37748i | −0.0306821 | + | 0.0833692i | ||||
\(274\) | 4.75707 | − | 5.96518i | 0.287385 | − | 0.360370i | ||||
\(275\) | 11.2322 | − | 19.4547i | 0.677327 | − | 1.17317i | ||||
\(276\) | −0.131201 | − | 0.227246i | −0.00789736 | − | 0.0136786i | ||||
\(277\) | −17.9995 | − | 2.71299i | −1.08148 | − | 0.163008i | −0.415960 | − | 0.909383i | \(-0.636554\pi\) |
−0.665525 | + | 0.746375i | \(0.731792\pi\) | |||||||
\(278\) | 4.08675 | + | 3.79195i | 0.245107 | + | 0.227426i | ||||
\(279\) | −11.2580 | + | 5.42155i | −0.673996 | + | 0.324579i | ||||
\(280\) | 0.883643 | + | 0.785460i | 0.0528077 | + | 0.0469402i | ||||
\(281\) | 12.7619 | + | 6.14583i | 0.761314 | + | 0.366629i | 0.773914 | − | 0.633291i | \(-0.218296\pi\) |
−0.0125999 | + | 0.999921i | \(0.504011\pi\) | |||||||
\(282\) | −0.155507 | − | 0.396225i | −0.00926030 | − | 0.0235948i | ||||
\(283\) | 1.16594 | + | 15.5584i | 0.0693081 | + | 0.924852i | 0.918157 | + | 0.396217i | \(0.129677\pi\) |
−0.848849 | + | 0.528635i | \(0.822704\pi\) | |||||||
\(284\) | 0.243009 | − | 0.0749585i | 0.0144200 | − | 0.00444797i | ||||
\(285\) | 0.0133274 | − | 0.177842i | 0.000789450 | − | 0.0105345i | ||||
\(286\) | −7.25032 | − | 31.7657i | −0.428720 | − | 1.87835i | ||||
\(287\) | −12.1957 | − | 5.55550i | −0.719888 | − | 0.327931i | ||||
\(288\) | 0.666150 | − | 2.91859i | 0.0392533 | − | 0.171980i | ||||
\(289\) | −14.5486 | − | 4.48766i | −0.855801 | − | 0.263980i | ||||
\(290\) | −0.901553 | + | 2.29712i | −0.0529410 | + | 0.134892i | ||||
\(291\) | 0.981881 | − | 0.911052i | 0.0575589 | − | 0.0534068i | ||||
\(292\) | −3.38108 | + | 2.30518i | −0.197863 | + | 0.134901i | ||||
\(293\) | 23.7424 | 1.38705 | 0.693523 | − | 0.720434i | \(-0.256057\pi\) | ||||
0.693523 | + | 0.720434i | \(0.256057\pi\) | |||||||
\(294\) | −0.557264 | + | 0.0238161i | −0.0325003 | + | 0.00138898i | ||||
\(295\) | −4.49322 | −0.261606 | ||||||||
\(296\) | 1.47970 | − | 1.00884i | 0.0860059 | − | 0.0586378i | ||||
\(297\) | −1.63836 | + | 1.52018i | −0.0950675 | + | 0.0882098i | ||||
\(298\) | −0.277881 | + | 0.708030i | −0.0160972 | + | 0.0410151i | ||||
\(299\) | −21.9095 | − | 6.75818i | −1.26706 | − | 0.390836i | ||||
\(300\) | −0.0851138 | + | 0.372908i | −0.00491405 | + | 0.0215299i | ||||
\(301\) | −13.3629 | − | 16.0415i | −0.770225 | − | 0.924616i | ||||
\(302\) | −4.20658 | − | 18.4302i | −0.242061 | − | 1.06054i | ||||
\(303\) | −0.0870899 | + | 1.16213i | −0.00500318 | + | 0.0667629i | ||||
\(304\) | 4.78616 | − | 1.47633i | 0.274505 | − | 0.0846735i | ||||
\(305\) | 0.207610 | + | 2.77036i | 0.0118877 | + | 0.158630i | ||||
\(306\) | 1.45712 | + | 3.71268i | 0.0832979 | + | 0.212240i | ||||
\(307\) | 5.60332 | + | 2.69842i | 0.319799 | + | 0.154007i | 0.586895 | − | 0.809663i | \(-0.300350\pi\) |
−0.267097 | + | 0.963670i | \(0.586064\pi\) | |||||||
\(308\) | 10.0788 | − | 7.19162i | 0.574294 | − | 0.409781i | ||||
\(309\) | 0.488463 | − | 0.235232i | 0.0277877 | − | 0.0133819i | ||||
\(310\) | −1.36726 | − | 1.26864i | −0.0776554 | − | 0.0720537i | ||||
\(311\) | 29.2857 | + | 4.41410i | 1.66064 | + | 0.250301i | 0.911257 | − | 0.411839i | \(-0.135113\pi\) |
0.749380 | + | 0.662140i | \(0.230351\pi\) | |||||||
\(312\) | 0.277390 | + | 0.480453i | 0.0157041 | + | 0.0272003i | ||||
\(313\) | −4.87410 | + | 8.44218i | −0.275500 | + | 0.477180i | −0.970261 | − | 0.242060i | \(-0.922177\pi\) |
0.694761 | + | 0.719241i | \(0.255510\pi\) | |||||||
\(314\) | 4.39502 | − | 5.51119i | 0.248026 | − | 0.311014i | ||||
\(315\) | −1.83471 | − | 3.02665i | −0.103374 | − | 0.170532i | ||||
\(316\) | 1.15755 | + | 1.45152i | 0.0651171 | + | 0.0816542i | ||||
\(317\) | 7.37624 | − | 1.11179i | 0.414291 | − | 0.0624443i | 0.0614101 | − | 0.998113i | \(-0.480440\pi\) |
0.352881 | + | 0.935668i | \(0.385202\pi\) | |||||||
\(318\) | 0.592615 | + | 0.404038i | 0.0332322 | + | 0.0226573i | ||||
\(319\) | 21.3528 | + | 14.5581i | 1.19553 | + | 0.815096i | ||||
\(320\) | 0.441867 | − | 0.0666007i | 0.0247011 | − | 0.00372309i | ||||
\(321\) | 0.0799010 | + | 0.100193i | 0.00445964 | + | 0.00559221i | ||||
\(322\) | −0.836491 | − | 8.67252i | −0.0466158 | − | 0.483301i | ||||
\(323\) | −4.16052 | + | 5.21713i | −0.231498 | + | 0.290289i | ||||
\(324\) | −4.47145 | + | 7.74478i | −0.248414 | + | 0.430265i | ||||
\(325\) | 16.7110 | + | 28.9442i | 0.926957 | + | 1.60554i | ||||
\(326\) | −17.7723 | − | 2.67874i | −0.984316 | − | 0.148362i | ||||
\(327\) | −0.139111 | − | 0.129076i | −0.00769284 | − | 0.00713791i | ||||
\(328\) | −4.56364 | + | 2.19774i | −0.251985 | + | 0.121350i | ||||
\(329\) | 0.754976 | − | 14.1130i | 0.0416232 | − | 0.778076i | ||||
\(330\) | −0.150128 | − | 0.0722981i | −0.00826430 | − | 0.00397988i | ||||
\(331\) | −0.667014 | − | 1.69952i | −0.0366624 | − | 0.0934143i | 0.911370 | − | 0.411588i | \(-0.135026\pi\) |
−0.948032 | + | 0.318174i | \(0.896930\pi\) | |||||||
\(332\) | 1.17067 | + | 15.6215i | 0.0642490 | + | 0.857344i | ||||
\(333\) | −5.12311 | + | 1.58027i | −0.280745 | + | 0.0865982i | ||||
\(334\) | 0.345478 | − | 4.61008i | 0.0189037 | − | 0.252252i | ||||
\(335\) | 0.0654499 | + | 0.286755i | 0.00357591 | + | 0.0156671i | ||||
\(336\) | −0.127893 | + | 0.167594i | −0.00697716 | + | 0.00914298i | ||||
\(337\) | 6.08808 | − | 26.6736i | 0.331639 | − | 1.45301i | −0.484317 | − | 0.874892i | \(-0.660932\pi\) |
0.815956 | − | 0.578113i | \(-0.196211\pi\) | |||||||
\(338\) | 33.8995 | + | 10.4566i | 1.84389 | + | 0.568764i | ||||
\(339\) | −0.207503 | + | 0.528708i | −0.0112700 | + | 0.0287155i | ||||
\(340\) | −0.436415 | + | 0.404934i | −0.0236679 | + | 0.0219606i | ||||
\(341\) | −16.1391 | + | 11.0034i | −0.873981 | + | 0.595870i | ||||
\(342\) | −14.9942 | −0.810795 | ||||||||
\(343\) | −17.1664 | − | 6.95085i | −0.926899 | − | 0.375310i | ||||
\(344\) | −7.89119 | −0.425465 | ||||||||
\(345\) | −0.0968815 | + | 0.0660527i | −0.00521593 | + | 0.00355616i | ||||
\(346\) | −4.11398 | + | 3.81722i | −0.221169 | + | 0.205215i | ||||
\(347\) | −7.06061 | + | 17.9901i | −0.379033 | + | 0.965761i | 0.606318 | + | 0.795222i | \(0.292646\pi\) |
−0.985351 | + | 0.170538i | \(0.945449\pi\) | |||||||
\(348\) | −0.420481 | − | 0.129701i | −0.0225402 | − | 0.00695272i | ||||
\(349\) | 5.38975 | − | 23.6141i | 0.288507 | − | 1.26403i | −0.598068 | − | 0.801446i | \(-0.704065\pi\) |
0.886575 | − | 0.462586i | \(-0.153078\pi\) | |||||||
\(350\) | −7.70476 | + | 10.0964i | −0.411837 | + | 0.539677i | ||||
\(351\) | −0.739917 | − | 3.24179i | −0.0394938 | − | 0.173034i | ||||
\(352\) | 0.349720 | − | 4.66669i | 0.0186401 | − | 0.248735i | ||||
\(353\) | −24.9079 | + | 7.68306i | −1.32571 | + | 0.408928i | −0.875165 | − | 0.483825i | \(-0.839247\pi\) |
−0.450547 | + | 0.892753i | \(0.648771\pi\) | |||||||
\(354\) | −0.0598747 | − | 0.798973i | −0.00318231 | − | 0.0424649i | ||||
\(355\) | −0.0415171 | − | 0.105784i | −0.00220350 | − | 0.00561442i | ||||
\(356\) | 7.43821 | + | 3.58206i | 0.394225 | + | 0.189849i | ||||
\(357\) | 0.0150036 | − | 0.280468i | 0.000794076 | − | 0.0148439i | ||||
\(358\) | 13.0167 | − | 6.26850i | 0.687953 | − | 0.331301i | ||||
\(359\) | 2.40864 | + | 2.23489i | 0.127123 | + | 0.117953i | 0.741173 | − | 0.671314i | \(-0.234270\pi\) |
−0.614049 | + | 0.789268i | \(0.710460\pi\) | |||||||
\(360\) | −1.32279 | − | 0.199379i | −0.0697174 | − | 0.0105082i | ||||
\(361\) | −3.04342 | − | 5.27136i | −0.160180 | − | 0.277440i | ||||
\(362\) | 6.78093 | − | 11.7449i | 0.356398 | − | 0.617299i | ||||
\(363\) | −0.541535 | + | 0.679063i | −0.0284232 | + | 0.0356416i | ||||
\(364\) | 1.76854 | + | 18.3358i | 0.0926968 | + | 0.961056i | ||||
\(365\) | 1.14011 | + | 1.42966i | 0.0596763 | + | 0.0748318i | ||||
\(366\) | −0.489852 | + | 0.0738333i | −0.0256050 | + | 0.00385933i | ||||
\(367\) | 2.20443 | + | 1.50296i | 0.115071 | + | 0.0784537i | 0.619488 | − | 0.785006i | \(-0.287340\pi\) |
−0.504417 | + | 0.863460i | \(0.668293\pi\) | |||||||
\(368\) | −2.72090 | − | 1.85508i | −0.141837 | − | 0.0967027i | ||||
\(369\) | 14.9943 | − | 2.26002i | 0.780570 | − | 0.117652i | ||||
\(370\) | −0.498961 | − | 0.625678i | −0.0259398 | − | 0.0325274i | ||||
\(371\) | 12.3454 | + | 20.3657i | 0.640940 | + | 1.05734i | ||||
\(372\) | 0.207366 | − | 0.260029i | 0.0107514 | − | 0.0134819i | ||||
\(373\) | 7.78275 | − | 13.4801i | 0.402975 | − | 0.697974i | −0.591108 | − | 0.806592i | \(-0.701309\pi\) |
0.994084 | + | 0.108618i | \(0.0346427\pi\) | |||||||
\(374\) | 3.11738 | + | 5.39947i | 0.161196 | + | 0.279200i | ||||
\(375\) | 0.345057 | + | 0.0520089i | 0.0178187 | + | 0.00268573i | ||||
\(376\) | −3.91585 | − | 3.63338i | −0.201945 | − | 0.187377i | ||||
\(377\) | −34.6414 | + | 16.6824i | −1.78412 | + | 0.859187i | ||||
\(378\) | 1.02857 | − | 0.733927i | 0.0529041 | − | 0.0377491i | ||||
\(379\) | 15.4105 | + | 7.42129i | 0.791582 | + | 0.381206i | 0.785568 | − | 0.618776i | \(-0.212371\pi\) |
0.00601485 | + | 0.999982i | \(0.498085\pi\) | |||||||
\(380\) | −0.817694 | − | 2.08345i | −0.0419468 | − | 0.106879i | ||||
\(381\) | −0.00761638 | − | 0.101634i | −0.000390199 | − | 0.00520685i | ||||
\(382\) | −19.5264 | + | 6.02311i | −0.999059 | + | 0.308169i | ||||
\(383\) | −0.542947 | + | 7.24512i | −0.0277433 | + | 0.370208i | 0.966002 | + | 0.258536i | \(0.0832399\pi\) |
−0.993745 | + | 0.111673i | \(0.964379\pi\) | |||||||
\(384\) | 0.0177309 | + | 0.0776840i | 0.000904825 | + | 0.00396430i | ||||
\(385\) | −3.54121 | − | 4.25105i | −0.180477 | − | 0.216653i | ||||
\(386\) | 2.67298 | − | 11.7111i | 0.136051 | − | 0.596078i | ||||
\(387\) | 22.5740 | + | 6.96314i | 1.14750 | + | 0.353956i | ||||
\(388\) | 6.14134 | − | 15.6479i | 0.311779 | − | 0.794401i | ||||
\(389\) | −14.6356 | + | 13.5798i | −0.742054 | + | 0.688525i | −0.957643 | − | 0.287959i | \(-0.907023\pi\) |
0.215589 | + | 0.976484i | \(0.430833\pi\) | |||||||
\(390\) | 0.204831 | − | 0.139651i | 0.0103720 | − | 0.00707152i | ||||
\(391\) | 4.38735 | 0.221878 | ||||||||
\(392\) | −6.17135 | + | 3.30371i | −0.311700 | + | 0.166862i | ||||
\(393\) | 1.04625 | 0.0527761 | ||||||||
\(394\) | −14.1554 | + | 9.65099i | −0.713139 | + | 0.486210i | ||||
\(395\) | 0.608153 | − | 0.564284i | 0.0305995 | − | 0.0283922i | ||||
\(396\) | −5.11829 | + | 13.0412i | −0.257204 | + | 0.655344i | ||||
\(397\) | −27.0859 | − | 8.35490i | −1.35940 | − | 0.419321i | −0.472523 | − | 0.881318i | \(-0.656657\pi\) |
−0.886881 | + | 0.461998i | \(0.847133\pi\) | |||||||
\(398\) | −4.99354 | + | 21.8781i | −0.250303 | + | 1.09665i | ||||
\(399\) | 0.960918 | + | 0.437727i | 0.0481061 | + | 0.0219138i | ||||
\(400\) | 1.06817 | + | 4.67996i | 0.0534086 | + | 0.233998i | ||||
\(401\) | −0.0699797 | + | 0.933814i | −0.00349462 | + | 0.0466325i | −0.998678 | − | 0.0513934i | \(-0.983634\pi\) |
0.995184 | + | 0.0980259i | \(0.0312528\pi\) | |||||||
\(402\) | −0.0501178 | + | 0.0154593i | −0.00249965 | + | 0.000771040i | ||||
\(403\) | −2.17173 | − | 28.9797i | −0.108182 | − | 1.44358i | ||||
\(404\) | 5.34332 | + | 13.6146i | 0.265840 | + | 0.677350i | ||||
\(405\) | 3.60045 | + | 1.73389i | 0.178908 | + | 0.0861575i | ||||
\(406\) | −10.9202 | − | 9.70686i | −0.541961 | − | 0.481743i | ||||
\(407\) | −7.55098 | + | 3.63636i | −0.374288 | + | 0.180248i | ||||
\(408\) | −0.0778197 | − | 0.0722061i | −0.00385265 | − | 0.00357473i | ||||
\(409\) | −17.7366 | − | 2.67337i | −0.877019 | − | 0.132189i | −0.304924 | − | 0.952377i | \(-0.598631\pi\) |
−0.572095 | + | 0.820187i | \(0.693869\pi\) | |||||||
\(410\) | 1.13173 | + | 1.96021i | 0.0558919 | + | 0.0968077i | ||||
\(411\) | 0.303976 | − | 0.526503i | 0.0149941 | − | 0.0259705i | ||||
\(412\) | 4.24221 | − | 5.31956i | 0.208999 | − | 0.262076i | ||||
\(413\) | 9.18829 | − | 24.9663i | 0.452126 | − | 1.22851i | ||||
\(414\) | 6.14664 | + | 7.70764i | 0.302091 | + | 0.378810i | ||||
\(415\) | 6.92199 | − | 1.04332i | 0.339787 | − | 0.0512147i | ||||
\(416\) | 5.75264 | + | 3.92208i | 0.282046 | + | 0.192296i | ||||
\(417\) | 0.367036 | + | 0.250241i | 0.0179738 | + | 0.0122543i | ||||
\(418\) | −23.1777 | + | 3.49347i | −1.13366 | + | 0.170871i | ||||
\(419\) | −14.5842 | − | 18.2880i | −0.712486 | − | 0.893429i | 0.285401 | − | 0.958408i | \(-0.407873\pi\) |
−0.997887 | + | 0.0649791i | \(0.979302\pi\) | |||||||
\(420\) | 0.0789519 | + | 0.0513938i | 0.00385246 | + | 0.00250776i | ||||
\(421\) | 11.7547 | − | 14.7399i | 0.572889 | − | 0.718380i | −0.407993 | − | 0.912985i | \(-0.633771\pi\) |
0.980882 | + | 0.194605i | \(0.0623426\pi\) | |||||||
\(422\) | −6.92598 | + | 11.9961i | −0.337151 | + | 0.583963i | ||||
\(423\) | 7.99582 | + | 13.8492i | 0.388770 | + | 0.673369i | ||||
\(424\) | 8.90082 | + | 1.34158i | 0.432262 | + | 0.0651530i | ||||
\(425\) | −4.68814 | − | 4.34995i | −0.227408 | − | 0.211004i | ||||
\(426\) | 0.0182570 | − | 0.00879209i | 0.000884553 | − | 0.000425978i | ||||
\(427\) | −15.8179 | − | 4.51160i | −0.765482 | − | 0.218332i | ||||
\(428\) | 1.44902 | + | 0.697809i | 0.0700408 | + | 0.0337299i | ||||
\(429\) | −0.948515 | − | 2.41678i | −0.0457947 | − | 0.116683i | ||||
\(430\) | 0.263516 | + | 3.51638i | 0.0127079 | + | 0.169575i | ||||
\(431\) | 10.1771 | − | 3.13921i | 0.490212 | − | 0.151211i | −0.0397876 | − | 0.999208i | \(-0.512668\pi\) |
0.530000 | + | 0.847998i | \(0.322192\pi\) | |||||||
\(432\) | 0.0356900 | − | 0.476250i | 0.00171713 | − | 0.0229136i | ||||
\(433\) | −1.59489 | − | 6.98767i | −0.0766456 | − | 0.335806i | 0.922038 | − | 0.387099i | \(-0.126523\pi\) |
−0.998684 | + | 0.0512930i | \(0.983666\pi\) | |||||||
\(434\) | 9.84505 | − | 5.00287i | 0.472578 | − | 0.240145i | ||||
\(435\) | −0.0437545 | + | 0.191701i | −0.00209787 | + | 0.00919136i | ||||
\(436\) | −2.27578 | − | 0.701985i | −0.108990 | − | 0.0336190i | ||||
\(437\) | −6.02599 | + | 15.3540i | −0.288262 | + | 0.734480i | ||||
\(438\) | −0.239025 | + | 0.221783i | −0.0114211 | + | 0.0105972i | ||||
\(439\) | −20.5292 | + | 13.9966i | −0.979806 | + | 0.668021i | −0.943518 | − | 0.331321i | \(-0.892506\pi\) |
−0.0362881 | + | 0.999341i | \(0.511553\pi\) | |||||||
\(440\) | −2.09119 | −0.0996937 | ||||||||
\(441\) | 20.5692 | − | 4.00519i | 0.979488 | − | 0.190723i | ||||
\(442\) | −9.27592 | −0.441210 | ||||||||
\(443\) | −14.6972 | + | 10.0204i | −0.698287 | + | 0.476084i | −0.859697 | − | 0.510804i | \(-0.829348\pi\) |
0.161411 | + | 0.986887i | \(0.448396\pi\) | |||||||
\(444\) | 0.104607 | − | 0.0970615i | 0.00496445 | − | 0.00460633i | ||||
\(445\) | 1.34780 | − | 3.43415i | 0.0638920 | − | 0.162794i | ||||
\(446\) | 17.4490 | + | 5.38229i | 0.826232 | + | 0.254859i | ||||
\(447\) | −0.0134862 | + | 0.0590871i | −0.000637877 | + | 0.00279472i | ||||
\(448\) | −0.533520 | + | 2.59140i | −0.0252064 | + | 0.122432i | ||||
\(449\) | 5.31876 | + | 23.3030i | 0.251008 | + | 1.09974i | 0.930568 | + | 0.366118i | \(0.119313\pi\) |
−0.679560 | + | 0.733619i | \(0.737829\pi\) | |||||||
\(450\) | 1.07391 | − | 14.3303i | 0.0506245 | − | 0.675537i | ||||
\(451\) | 22.6512 | − | 6.98696i | 1.06660 | − | 0.329003i | ||||
\(452\) | 0.532674 | + | 7.10804i | 0.0250549 | + | 0.334334i | ||||
\(453\) | −0.550321 | − | 1.40219i | −0.0258563 | − | 0.0658808i | ||||
\(454\) | 3.78023 | + | 1.82046i | 0.177415 | + | 0.0854384i | ||||
\(455\) | 8.11152 | − | 1.40038i | 0.380274 | − | 0.0656507i | ||||
\(456\) | 0.359577 | − | 0.173163i | 0.0168387 | − | 0.00810911i | ||||
\(457\) | −6.77693 | − | 6.28807i | −0.317011 | − | 0.294144i | 0.505576 | − | 0.862782i | \(-0.331280\pi\) |
−0.822588 | + | 0.568638i | \(0.807470\pi\) | |||||||
\(458\) | −3.30562 | − | 0.498243i | −0.154462 | − | 0.0232814i | ||||
\(459\) | 0.318138 | + | 0.551032i | 0.0148494 | + | 0.0257200i | ||||
\(460\) | −0.735777 | + | 1.27440i | −0.0343058 | + | 0.0594194i | ||||
\(461\) | 11.9577 | − | 14.9945i | 0.556925 | − | 0.698362i | −0.421061 | − | 0.907032i | \(-0.638342\pi\) |
0.977986 | + | 0.208670i | \(0.0669136\pi\) | |||||||
\(462\) | 0.708721 | − | 0.686337i | 0.0329727 | − | 0.0319313i | ||||
\(463\) | −3.44238 | − | 4.31660i | −0.159981 | − | 0.200610i | 0.695380 | − | 0.718642i | \(-0.255236\pi\) |
−0.855361 | + | 0.518033i | \(0.826665\pi\) | |||||||
\(464\) | −5.46067 | + | 0.823063i | −0.253505 | + | 0.0382097i | ||||
\(465\) | −0.122796 | − | 0.0837206i | −0.00569451 | − | 0.00388245i | ||||
\(466\) | 18.5973 | + | 12.6794i | 0.861503 | + | 0.587363i | ||||
\(467\) | 35.0712 | − | 5.28614i | 1.62290 | − | 0.244613i | 0.726277 | − | 0.687402i | \(-0.241249\pi\) |
0.896626 | + | 0.442789i | \(0.146011\pi\) | |||||||
\(468\) | −12.9955 | − | 16.2958i | −0.600716 | − | 0.753274i | ||||
\(469\) | −1.72718 | − | 0.222722i | −0.0797536 | − | 0.0102844i | ||||
\(470\) | −1.48830 | + | 1.86627i | −0.0686501 | + | 0.0860845i | ||||
\(471\) | 0.280841 | − | 0.486432i | 0.0129405 | − | 0.0224136i | ||||
\(472\) | −5.02758 | − | 8.70802i | −0.231413 | − | 0.400819i | ||||
\(473\) | 36.5165 | + | 5.50398i | 1.67903 | + | 0.253073i | ||||
\(474\) | 0.108443 | + | 0.100621i | 0.00498097 | + | 0.00462166i | ||||
\(475\) | 21.6622 | − | 10.4320i | 0.993931 | − | 0.478652i | ||||
\(476\) | −1.35756 | − | 3.25297i | −0.0622235 | − | 0.149100i | ||||
\(477\) | −24.2783 | − | 11.6918i | −1.11163 | − | 0.535332i | ||||
\(478\) | −4.88592 | − | 12.4491i | −0.223477 | − | 0.569410i | ||||
\(479\) | −1.98290 | − | 26.4599i | −0.0906009 | − | 1.20899i | −0.838398 | − | 0.545058i | \(-0.816508\pi\) |
0.747797 | − | 0.663927i | \(-0.231111\pi\) | |||||||
\(480\) | 0.0340245 | − | 0.0104952i | 0.00155300 | − | 0.000479037i | ||||
\(481\) | 0.931806 | − | 12.4341i | 0.0424867 | − | 0.566946i | ||||
\(482\) | 2.36045 | + | 10.3418i | 0.107515 | + | 0.471056i | ||||
\(483\) | −0.168903 | − | 0.673390i | −0.00768536 | − | 0.0306403i | ||||
\(484\) | −2.42554 | + | 10.6270i | −0.110252 | + | 0.483045i | ||||
\(485\) | −7.17790 | − | 2.21409i | −0.325932 | − | 0.100537i | ||||
\(486\) | −0.783781 | + | 1.99704i | −0.0355530 | + | 0.0905877i | ||||
\(487\) | −14.0114 | + | 13.0007i | −0.634917 | + | 0.589117i | −0.930541 | − | 0.366188i | \(-0.880663\pi\) |
0.295624 | + | 0.955304i | \(0.404472\pi\) | |||||||
\(488\) | −5.13676 | + | 3.50218i | −0.232530 | + | 0.158536i | ||||
\(489\) | −1.43212 | −0.0647629 | ||||||||
\(490\) | 1.67824 | + | 2.63968i | 0.0758153 | + | 0.119249i | ||||
\(491\) | 31.5030 | 1.42171 | 0.710855 | − | 0.703338i | \(-0.248308\pi\) | ||||
0.710855 | + | 0.703338i | \(0.248308\pi\) | |||||||
\(492\) | −0.333478 | + | 0.227361i | −0.0150343 | + | 0.0102502i | ||||
\(493\) | 5.39329 | − | 5.00424i | 0.242902 | − | 0.225380i | ||||
\(494\) | 12.7404 | − | 32.4620i | 0.573217 | − | 1.46053i | ||||
\(495\) | 5.98217 | + | 1.84526i | 0.268879 | + | 0.0829381i | ||||
\(496\) | 0.928794 | − | 4.06931i | 0.0417041 | − | 0.182718i | ||||
\(497\) | 0.672681 | − | 0.0143678i | 0.0301739 | − | 0.000644484i | ||||
\(498\) | 0.277760 | + | 1.21695i | 0.0124467 | + | 0.0545327i | ||||
\(499\) | −1.62391 | + | 21.6696i | −0.0726963 | + | 0.970064i | 0.834949 | + | 0.550327i | \(0.185497\pi\) |
−0.907646 | + | 0.419738i | \(0.862122\pi\) | |||||||
\(500\) | 4.18478 | − | 1.29084i | 0.187149 | − | 0.0577279i | ||||
\(501\) | −0.0275283 | − | 0.367339i | −0.00122987 | − | 0.0164115i | ||||
\(502\) | 2.87313 | + | 7.32062i | 0.128234 | + | 0.326735i | ||||
\(503\) | −29.8959 | − | 14.3971i | −1.33299 | − | 0.641935i | −0.374546 | − | 0.927208i | \(-0.622201\pi\) |
−0.958446 | + | 0.285273i | \(0.907916\pi\) | |||||||
\(504\) | 3.81285 | − | 6.94232i | 0.169838 | − | 0.309235i | ||||
\(505\) | 5.88833 | − | 2.83567i | 0.262027 | − | 0.126186i | ||||
\(506\) | 11.2971 | + | 10.4822i | 0.502217 | + | 0.465989i | ||||
\(507\) | 2.79518 | + | 0.421306i | 0.124139 | + | 0.0187109i | ||||
\(508\) | −0.639535 | − | 1.10771i | −0.0283748 | − | 0.0491465i | ||||
\(509\) | 2.35133 | − | 4.07262i | 0.104221 | − | 0.180515i | −0.809199 | − | 0.587535i | \(-0.800099\pi\) |
0.913420 | + | 0.407019i | \(0.133432\pi\) | |||||||
\(510\) | −0.0295769 | + | 0.0370883i | −0.00130969 | + | 0.00164230i | ||||
\(511\) | −10.2753 | + | 3.41145i | −0.454551 | + | 0.150913i | ||||
\(512\) | 0.623490 | + | 0.781831i | 0.0275546 | + | 0.0345524i | ||||
\(513\) | −2.36535 | + | 0.356519i | −0.104433 | + | 0.0157407i | ||||
\(514\) | −15.4384 | − | 10.5257i | −0.680958 | − | 0.464269i | ||||
\(515\) | −2.51210 | − | 1.71272i | −0.110697 | − | 0.0754716i | ||||
\(516\) | −0.621762 | + | 0.0937155i | −0.0273715 | + | 0.00412559i | ||||
\(517\) | 15.5864 | + | 19.5447i | 0.685489 | + | 0.859576i | ||||
\(518\) | 4.49688 | − | 1.49299i | 0.197582 | − | 0.0655982i | ||||
\(519\) | −0.278815 | + | 0.349623i | −0.0122386 | + | 0.0153468i | ||||
\(520\) | 1.55561 | − | 2.69439i | 0.0682180 | − | 0.118157i | ||||
\(521\) | −17.3732 | − | 30.0913i | −0.761135 | − | 1.31832i | −0.942266 | − | 0.334866i | \(-0.891309\pi\) |
0.181131 | − | 0.983459i | \(-0.442024\pi\) | |||||||
\(522\) | 16.3473 | + | 2.46396i | 0.715503 | + | 0.107845i | ||||
\(523\) | 4.63952 | + | 4.30484i | 0.202872 | + | 0.188238i | 0.775065 | − | 0.631881i | \(-0.217717\pi\) |
−0.572193 | + | 0.820119i | \(0.693907\pi\) | |||||||
\(524\) | 11.8300 | − | 5.69702i | 0.516795 | − | 0.248875i | ||||
\(525\) | −0.487167 | + | 0.887019i | −0.0212617 | + | 0.0387127i | ||||
\(526\) | 7.56836 | + | 3.64473i | 0.329996 | + | 0.158918i | ||||
\(527\) | 2.03162 | + | 5.17648i | 0.0884988 | + | 0.225491i | ||||
\(528\) | −0.0278663 | − | 0.371850i | −0.00121273 | − | 0.0161827i | ||||
\(529\) | −11.6154 | + | 3.58286i | −0.505015 | + | 0.155777i | ||||
\(530\) | 0.300589 | − | 4.01108i | 0.0130567 | − | 0.174230i | ||||
\(531\) | 6.69824 | + | 29.3469i | 0.290679 | + | 1.27355i | ||||
\(532\) | 13.2487 | − | 0.282979i | 0.574404 | − | 0.0122687i | ||||
\(533\) | −7.84755 | + | 34.3824i | −0.339915 | + | 1.48927i | ||||
\(534\) | 0.628611 | + | 0.193901i | 0.0272027 | + | 0.00839091i | ||||
\(535\) | 0.262562 | − | 0.668996i | 0.0113515 | − | 0.0289232i | ||||
\(536\) | −0.482507 | + | 0.447701i | −0.0208411 | + | 0.0193377i | ||||
\(537\) | 0.951163 | − | 0.648492i | 0.0410457 | − | 0.0279845i | ||||
\(538\) | −13.3027 | −0.573519 | ||||||||
\(539\) | 30.8622 | − | 10.9835i | 1.32933 | − | 0.473093i | ||||
\(540\) | −0.213412 | −0.00918381 | ||||||||
\(541\) | 19.7357 | − | 13.4556i | 0.848504 | − | 0.578501i | −0.0591356 | − | 0.998250i | \(-0.518834\pi\) |
0.907640 | + | 0.419749i | \(0.137882\pi\) | |||||||
\(542\) | −0.928383 | + | 0.861414i | −0.0398775 | + | 0.0370009i | ||||
\(543\) | 0.394800 | − | 1.00593i | 0.0169425 | − | 0.0431687i | ||||
\(544\) | −1.27309 | − | 0.392696i | −0.0545833 | − | 0.0168367i | ||||
\(545\) | −0.236813 | + | 1.03755i | −0.0101440 | + | 0.0444437i | ||||
\(546\) | 0.357102 | + | 1.42371i | 0.0152825 | + | 0.0609291i | ||||
\(547\) | −6.13147 | − | 26.8637i | −0.262163 | − | 1.14861i | −0.918900 | − | 0.394490i | \(-0.870921\pi\) |
0.656738 | − | 0.754119i | \(-0.271936\pi\) | |||||||
\(548\) | 0.570172 | − | 7.60842i | 0.0243566 | − | 0.325016i | ||||
\(549\) | 17.7848 | − | 5.48587i | 0.759035 | − | 0.234131i | ||||
\(550\) | −1.67877 | − | 22.4016i | −0.0715829 | − | 0.955207i | ||||
\(551\) | 10.1052 | + | 25.7476i | 0.430496 | + | 1.09689i | ||||
\(552\) | −0.236416 | − | 0.113852i | −0.0100625 | − | 0.00484585i | ||||
\(553\) | 1.89179 | + | 4.53309i | 0.0804469 | + | 0.192766i | ||||
\(554\) | −16.4002 | + | 7.89790i | −0.696776 | + | 0.335550i | ||||
\(555\) | −0.0467446 | − | 0.0433727i | −0.00198420 | − | 0.00184107i | ||||
\(556\) | 5.51271 | + | 0.830908i | 0.233791 | + | 0.0352383i | ||||
\(557\) | −4.84817 | − | 8.39728i | −0.205424 | − | 0.355804i | 0.744844 | − | 0.667239i | \(-0.232524\pi\) |
−0.950268 | + | 0.311434i | \(0.899191\pi\) | |||||||
\(558\) | −6.24769 | + | 10.8213i | −0.264486 | + | 0.458103i | ||||
\(559\) | −34.2557 | + | 42.9554i | −1.44886 | + | 1.81682i | ||||
\(560\) | 1.17257 | + | 0.151204i | 0.0495499 | + | 0.00638954i | ||||
\(561\) | 0.309748 | + | 0.388412i | 0.0130776 | + | 0.0163988i | ||||
\(562\) | 14.0065 | − | 2.11114i | 0.590828 | − | 0.0890529i | ||||
\(563\) | −25.4499 | − | 17.3514i | −1.07258 | − | 0.731276i | −0.107762 | − | 0.994177i | \(-0.534368\pi\) |
−0.964823 | + | 0.262901i | \(0.915321\pi\) | |||||||
\(564\) | −0.351687 | − | 0.239776i | −0.0148087 | − | 0.0100964i | ||||
\(565\) | 3.14961 | − | 0.474728i | 0.132505 | − | 0.0199719i | ||||
\(566\) | 9.72772 | + | 12.1982i | 0.408886 | + | 0.512727i | ||||
\(567\) | −16.9969 | + | 16.4601i | −0.713802 | + | 0.691258i | ||||
\(568\) | 0.158558 | − | 0.198826i | 0.00665296 | − | 0.00834254i | ||||
\(569\) | −17.9741 | + | 31.1320i | −0.753512 | + | 1.30512i | 0.192599 | + | 0.981278i | \(0.438308\pi\) |
−0.946111 | + | 0.323844i | \(0.895025\pi\) | |||||||
\(570\) | −0.0891705 | − | 0.154448i | −0.00373494 | − | 0.00646911i | ||||
\(571\) | 11.9918 | + | 1.80748i | 0.501842 | + | 0.0756406i | 0.395085 | − | 0.918645i | \(-0.370715\pi\) |
0.106757 | + | 0.994285i | \(0.465953\pi\) | |||||||
\(572\) | −23.8848 | − | 22.1618i | −0.998672 | − | 0.926633i | ||||
\(573\) | −1.46699 | + | 0.706467i | −0.0612845 | + | 0.0295131i | ||||
\(574\) | −13.2061 | + | 2.27990i | −0.551211 | + | 0.0951613i | ||||
\(575\) | −14.2425 | − | 6.85884i | −0.593954 | − | 0.286033i | ||||
\(576\) | −1.09370 | − | 2.78671i | −0.0455710 | − | 0.116113i | ||||
\(577\) | −0.896024 | − | 11.9566i | −0.0373020 | − | 0.497760i | −0.984298 | − | 0.176515i | \(-0.943518\pi\) |
0.946996 | − | 0.321245i | \(-0.104101\pi\) | |||||||
\(578\) | −14.5486 | + | 4.48766i | −0.605143 | + | 0.186662i | ||||
\(579\) | 0.0715285 | − | 0.954481i | 0.00297262 | − | 0.0396669i | ||||
\(580\) | 0.549116 | + | 2.40583i | 0.0228008 | + | 0.0998967i | ||||
\(581\) | −8.35777 | + | 40.5952i | −0.346739 | + | 1.68417i | ||||
\(582\) | 0.298054 | − | 1.30586i | 0.0123547 | − | 0.0541296i | ||||
\(583\) | −40.2528 | − | 12.4164i | −1.66710 | − | 0.514233i | ||||
\(584\) | −1.49503 | + | 3.80926i | −0.0618646 | + | 0.157628i | ||||
\(585\) | −6.82757 | + | 6.33506i | −0.282285 | + | 0.261923i | ||||
\(586\) | 19.6169 | − | 13.3746i | 0.810367 | − | 0.552499i | ||||
\(587\) | 22.2047 | 0.916486 | 0.458243 | − | 0.888827i | \(-0.348479\pi\) | ||||
0.458243 | + | 0.888827i | \(0.348479\pi\) | |||||||
\(588\) | −0.447017 | + | 0.333596i | −0.0184347 | + | 0.0137573i | ||||
\(589\) | −20.9060 | −0.861418 | ||||||||
\(590\) | −3.71247 | + | 2.53112i | −0.152840 | + | 0.104205i | ||||
\(591\) | −1.00072 | + | 0.928528i | −0.0411639 | + | 0.0381946i | ||||
\(592\) | 0.654285 | − | 1.66709i | 0.0268909 | − | 0.0685170i | ||||
\(593\) | 18.3799 | + | 5.66945i | 0.754772 | + | 0.232816i | 0.648181 | − | 0.761487i | \(-0.275530\pi\) |
0.106591 | + | 0.994303i | \(0.466006\pi\) | |||||||
\(594\) | −0.497332 | + | 2.17895i | −0.0204058 | + | 0.0894036i | ||||
\(595\) | −1.40422 | + | 0.713567i | −0.0575673 | + | 0.0292534i | ||||
\(596\) | 0.169251 | + | 0.741538i | 0.00693280 | + | 0.0303746i | ||||
\(597\) | −0.133626 | + | 1.78312i | −0.00546896 | + | 0.0729782i | ||||
\(598\) | −21.9095 | + | 6.75818i | −0.895946 | + | 0.276363i | ||||
\(599\) | −0.987589 | − | 13.1785i | −0.0403518 | − | 0.538457i | −0.980348 | − | 0.197274i | \(-0.936791\pi\) |
0.939997 | − | 0.341184i | \(-0.110828\pi\) | |||||||
\(600\) | 0.139742 | + | 0.356057i | 0.00570495 | + | 0.0145360i | ||||
\(601\) | −19.9810 | − | 9.62234i | −0.815042 | − | 0.392504i | −0.0205581 | − | 0.999789i | \(-0.506544\pi\) |
−0.794484 | + | 0.607285i | \(0.792259\pi\) | |||||||
\(602\) | −20.0774 | − | 5.72651i | −0.818295 | − | 0.233395i | ||||
\(603\) | 1.77533 | − | 0.854956i | 0.0722972 | − | 0.0348165i | ||||
\(604\) | −13.8578 | − | 12.8581i | −0.563864 | − | 0.523189i | ||||
\(605\) | 4.81647 | + | 0.725966i | 0.195817 | + | 0.0295147i | ||||
\(606\) | 0.582696 | + | 1.00926i | 0.0236704 | + | 0.0409984i | ||||
\(607\) | 10.1257 | − | 17.5382i | 0.410990 | − | 0.711856i | −0.584008 | − | 0.811748i | \(-0.698516\pi\) |
0.994998 | + | 0.0998922i | \(0.0318498\pi\) | |||||||
\(608\) | 3.12286 | − | 3.91594i | 0.126649 | − | 0.158812i | ||||
\(609\) | −0.975702 | − | 0.635133i | −0.0395374 | − | 0.0257369i | ||||
\(610\) | 1.73214 | + | 2.17203i | 0.0701321 | + | 0.0879429i | ||||
\(611\) | −36.7769 | + | 5.54323i | −1.48783 | + | 0.224255i | ||||
\(612\) | 3.29535 | + | 2.24673i | 0.133207 | + | 0.0908189i | ||||
\(613\) | −1.81069 | − | 1.23451i | −0.0731330 | − | 0.0498612i | 0.526202 | − | 0.850360i | \(-0.323616\pi\) |
−0.599335 | + | 0.800499i | \(0.704568\pi\) | |||||||
\(614\) | 6.14976 | − | 0.926926i | 0.248184 | − | 0.0374077i | ||||
\(615\) | 0.112450 | + | 0.141008i | 0.00453442 | + | 0.00568599i | ||||
\(616\) | 4.27633 | − | 11.6196i | 0.172298 | − | 0.468167i | ||||
\(617\) | −17.4124 | + | 21.8344i | −0.700996 | + | 0.879022i | −0.997098 | − | 0.0761350i | \(-0.975742\pi\) |
0.296101 | + | 0.955157i | \(0.404313\pi\) | |||||||
\(618\) | 0.271077 | − | 0.469519i | 0.0109043 | − | 0.0188868i | ||||
\(619\) | −2.54627 | − | 4.41026i | −0.102343 | − | 0.177263i | 0.810307 | − | 0.586006i | \(-0.199301\pi\) |
−0.912650 | + | 0.408743i | \(0.865967\pi\) | |||||||
\(620\) | −1.84433 | − | 0.277989i | −0.0740703 | − | 0.0111643i | ||||
\(621\) | 1.15290 | + | 1.06974i | 0.0462644 | + | 0.0429271i | ||||
\(622\) | 26.6835 | − | 12.8501i | 1.06991 | − | 0.515242i | ||||
\(623\) | 16.3255 | + | 14.5116i | 0.654067 | + | 0.581393i | ||||
\(624\) | 0.499839 | + | 0.240710i | 0.0200096 | + | 0.00963611i | ||||
\(625\) | 8.05381 | + | 20.5208i | 0.322153 | + | 0.820831i | ||||
\(626\) | 0.728483 | + | 9.72093i | 0.0291160 | + | 0.388527i | ||||
\(627\) | −1.78472 | + | 0.550514i | −0.0712750 | + | 0.0219854i | ||||
\(628\) | 0.526778 | − | 7.02936i | 0.0210207 | − | 0.280502i | ||||
\(629\) | 0.530927 | + | 2.32614i | 0.0211694 | + | 0.0927494i | ||||
\(630\) | −3.22088 | − | 1.46721i | −0.128323 | − | 0.0584549i | ||||
\(631\) | −7.41251 | + | 32.4763i | −0.295087 | + | 1.29286i | 0.582258 | + | 0.813004i | \(0.302169\pi\) |
−0.877346 | + | 0.479859i | \(0.840688\pi\) | |||||||
\(632\) | 1.77408 | + | 0.547231i | 0.0705691 | + | 0.0217677i | ||||
\(633\) | −0.403245 | + | 1.02745i | −0.0160275 | + | 0.0408375i | ||||
\(634\) | 5.46824 | − | 5.07379i | 0.217172 | − | 0.201506i | ||||
\(635\) | −0.472246 | + | 0.321972i | −0.0187405 | + | 0.0127771i | ||||
\(636\) | 0.717244 | 0.0284406 | ||||||||
\(637\) | −8.80630 | + | 47.9349i | −0.348918 | + | 1.89925i | ||||
\(638\) | 25.8433 | 1.02315 | ||||||||
\(639\) | −0.629022 | + | 0.428860i | −0.0248837 | + | 0.0169654i | ||||
\(640\) | 0.327570 | − | 0.303940i | 0.0129483 | − | 0.0120143i | ||||
\(641\) | 10.3798 | − | 26.4473i | 0.409978 | − | 1.04461i | −0.565547 | − | 0.824716i | \(-0.691335\pi\) |
0.975525 | − | 0.219890i | \(-0.0705699\pi\) | |||||||
\(642\) | 0.122458 | + | 0.0377732i | 0.00483302 | + | 0.00149079i | ||||
\(643\) | 7.00563 | − | 30.6937i | 0.276275 | − | 1.21044i | −0.626188 | − | 0.779672i | \(-0.715386\pi\) |
0.902463 | − | 0.430768i | \(-0.141757\pi\) | |||||||
\(644\) | −5.57655 | − | 6.69436i | −0.219747 | − | 0.263795i | ||||
\(645\) | 0.0625233 | + | 0.273933i | 0.00246185 | + | 0.0107861i | ||||
\(646\) | −0.498671 | + | 6.65430i | −0.0196199 | + | 0.261810i | ||||
\(647\) | −38.1776 | + | 11.7762i | −1.50092 | + | 0.462972i | −0.932928 | − | 0.360064i | \(-0.882755\pi\) |
−0.567990 | + | 0.823036i | \(0.692279\pi\) | |||||||
\(648\) | 0.668304 | + | 8.91789i | 0.0262534 | + | 0.350328i | ||||
\(649\) | 17.1914 | + | 43.8031i | 0.674823 | + | 1.71942i | ||||
\(650\) | 30.1121 | + | 14.5012i | 1.18109 | + | 0.568785i | ||||
\(651\) | 0.716296 | − | 0.511105i | 0.0280739 | − | 0.0200318i | ||||
\(652\) | −16.1931 | + | 7.79821i | −0.634173 | + | 0.305401i | ||||
\(653\) | −29.7896 | − | 27.6407i | −1.16576 | − | 1.08167i | −0.995353 | − | 0.0962913i | \(-0.969302\pi\) |
−0.170405 | − | 0.985374i | \(-0.554508\pi\) | |||||||
\(654\) | −0.187650 | − | 0.0282836i | −0.00733768 | − | 0.00110598i | ||||
\(655\) | −2.93368 | − | 5.08129i | −0.114629 | − | 0.198542i | ||||
\(656\) | −2.53263 | + | 4.38665i | −0.0988826 | + | 0.171270i | ||||
\(657\) | 7.63802 | − | 9.57777i | 0.297987 | − | 0.373664i | ||||
\(658\) | −7.32636 | − | 12.0860i | −0.285611 | − | 0.471162i | ||||
\(659\) | −11.9814 | − | 15.0242i | −0.466731 | − | 0.585262i | 0.491637 | − | 0.870800i | \(-0.336399\pi\) |
−0.958367 | + | 0.285539i | \(0.907827\pi\) | |||||||
\(660\) | −0.164769 | + | 0.0248349i | −0.00641362 | + | 0.000966698i | ||||
\(661\) | 28.5957 | + | 19.4962i | 1.11225 | + | 0.758316i | 0.972738 | − | 0.231905i | \(-0.0744959\pi\) |
0.139507 | + | 0.990221i | \(0.455448\pi\) | |||||||
\(662\) | −1.50849 | − | 1.02847i | −0.0586291 | − | 0.0399727i | ||||
\(663\) | −0.730867 | + | 0.110160i | −0.0283845 | + | 0.00427828i | ||||
\(664\) | 9.76719 | + | 12.2477i | 0.379040 | + | 0.475302i | ||||
\(665\) | −0.568521 | − | 5.89427i | −0.0220463 | − | 0.228570i | ||||
\(666\) | −3.34271 | + | 4.19163i | −0.129527 | + | 0.162422i | ||||
\(667\) | 9.09287 | − | 15.7493i | 0.352077 | − | 0.609816i | ||||
\(668\) | −2.31150 | − | 4.00364i | −0.0894347 | − | 0.154905i | ||||
\(669\) | 1.43876 | + | 0.216858i | 0.0556255 | + | 0.00838420i | ||||
\(670\) | 0.215612 | + | 0.200059i | 0.00832982 | + | 0.00772894i | ||||
\(671\) | 26.2131 | − | 12.6236i | 1.01194 | − | 0.487327i | ||||
\(672\) | −0.0112616 | + | 0.210517i | −0.000434426 | + | 0.00812088i | ||||
\(673\) | 4.23514 | + | 2.03954i | 0.163253 | + | 0.0786183i | 0.513726 | − | 0.857954i | \(-0.328265\pi\) |
−0.350473 | + | 0.936573i | \(0.613979\pi\) | |||||||
\(674\) | −9.99559 | − | 25.4683i | −0.385016 | − | 0.981004i | ||||
\(675\) | −0.171323 | − | 2.28615i | −0.00659423 | − | 0.0879939i | ||||
\(676\) | 33.8995 | − | 10.4566i | 1.30383 | − | 0.402177i | ||||
\(677\) | 1.83663 | − | 24.5081i | 0.0705873 | − | 0.941922i | −0.843689 | − | 0.536832i | \(-0.819621\pi\) |
0.914277 | − | 0.405090i | \(-0.132760\pi\) | |||||||
\(678\) | 0.126385 | + | 0.553730i | 0.00485379 | + | 0.0212659i | ||||
\(679\) | 26.9807 | − | 35.3560i | 1.03543 | − | 1.35684i | ||||
\(680\) | −0.132475 | + | 0.580413i | −0.00508020 | + | 0.0222578i | ||||
\(681\) | 0.319471 | + | 0.0985436i | 0.0122421 | + | 0.00377620i | ||||
\(682\) | −7.13628 | + | 18.1830i | −0.273262 | + | 0.696261i | ||||
\(683\) | 17.8669 | − | 16.5780i | 0.683657 | − | 0.634341i | −0.259867 | − | 0.965644i | \(-0.583679\pi\) |
0.943524 | + | 0.331303i | \(0.107488\pi\) | |||||||
\(684\) | −12.3888 | + | 8.44655i | −0.473698 | + | 0.322962i | ||||
\(685\) | −3.40941 | −0.130267 | ||||||||
\(686\) | −18.0991 | + | 3.92713i | −0.691027 | + | 0.149938i | ||||
\(687\) | −0.266373 | −0.0101628 | ||||||||
\(688\) | −6.52001 | + | 4.44527i | −0.248573 | + | 0.169474i | ||||
\(689\) | 45.9414 | − | 42.6274i | 1.75023 | − | 1.62397i | ||||
\(690\) | −0.0428385 | + | 0.109151i | −0.00163083 | + | 0.00415529i | ||||
\(691\) | 13.6363 | + | 4.20624i | 0.518749 | + | 0.160013i | 0.543064 | − | 0.839692i | \(-0.317264\pi\) |
−0.0243148 | + | 0.999704i | \(0.507740\pi\) | |||||||
\(692\) | −1.24882 | + | 5.47142i | −0.0474729 | + | 0.207992i | ||||
\(693\) | −22.4861 | + | 29.4662i | −0.854178 | + | 1.11933i | ||||
\(694\) | 4.30045 | + | 18.8415i | 0.163243 | + | 0.715214i | ||||
\(695\) | 0.186169 | − | 2.48426i | 0.00706180 | − | 0.0942332i | ||||
\(696\) | −0.420481 | + | 0.129701i | −0.0159383 | + | 0.00491632i | ||||
\(697\) | −0.504305 | − | 6.72948i | −0.0191019 | − | 0.254897i | ||||
\(698\) | −8.84905 | − | 22.5470i | −0.334941 | − | 0.853417i | ||||
\(699\) | 1.61589 | + | 0.778174i | 0.0611187 | + | 0.0294332i | ||||
\(700\) | −0.678440 | + | 12.6823i | −0.0256426 | + | 0.479346i | ||||
\(701\) | 33.9759 | − | 16.3619i | 1.28325 | − | 0.617982i | 0.337029 | − | 0.941494i | \(-0.390578\pi\) |
0.946224 | + | 0.323512i | \(0.104864\pi\) | |||||||
\(702\) | −2.43751 | − | 2.26168i | −0.0919980 | − | 0.0853616i | ||||
\(703\) | −8.86979 | − | 1.33691i | −0.334531 | − | 0.0504224i | ||||
\(704\) | −2.33989 | − | 4.05280i | −0.0881878 | − | 0.152746i | ||||
\(705\) | −0.0951021 | + | 0.164722i | −0.00358175 | + | 0.00620378i | ||||
\(706\) | −16.2518 | + | 20.3791i | −0.611645 | + | 0.766979i | ||||
\(707\) | 3.71507 | + | 38.5169i | 0.139720 | + | 1.44858i | ||||
\(708\) | −0.499548 | − | 0.626414i | −0.0187742 | − | 0.0235421i | ||||
\(709\) | 24.7413 | − | 3.72915i | 0.929179 | − | 0.140051i | 0.333022 | − | 0.942919i | \(-0.391932\pi\) |
0.596157 | + | 0.802868i | \(0.296693\pi\) | |||||||
\(710\) | −0.0938932 | − | 0.0640153i | −0.00352375 | − | 0.00240245i | ||||
\(711\) | −4.59215 | − | 3.13087i | −0.172219 | − | 0.117417i | ||||
\(712\) | 8.16358 | − | 1.23046i | 0.305943 | − | 0.0461135i | ||||
\(713\) | 8.57008 | + | 10.7465i | 0.320952 | + | 0.402461i | ||||
\(714\) | −0.145597 | − | 0.240185i | −0.00544882 | − | 0.00898871i | ||||
\(715\) | −9.07789 | + | 11.3833i | −0.339494 | + | 0.425712i | ||||
\(716\) | 7.22371 | − | 12.5118i | 0.269963 | − | 0.467589i | ||||
\(717\) | −0.532816 | − | 0.922865i | −0.0198984 | − | 0.0344650i | ||||
\(718\) | 3.24907 | + | 0.489719i | 0.121254 | + | 0.0182761i | ||||
\(719\) | 1.11847 | + | 1.03779i | 0.0417118 | + | 0.0387029i | 0.700753 | − | 0.713404i | \(-0.252847\pi\) |
−0.659041 | + | 0.752107i | \(0.729038\pi\) | |||||||
\(720\) | −1.20526 | + | 0.580422i | −0.0449173 | + | 0.0216310i | ||||
\(721\) | 14.6537 | − | 10.4560i | 0.545733 | − | 0.389401i | ||||
\(722\) | −5.48406 | − | 2.64098i | −0.204096 | − | 0.0982873i | ||||
\(723\) | 0.308803 | + | 0.786817i | 0.0114845 | + | 0.0292620i | ||||
\(724\) | −1.01348 | − | 13.5239i | −0.0376656 | − | 0.502613i | ||||
\(725\) | −25.3313 | + | 7.81367i | −0.940781 | + | 0.290192i | ||||
\(726\) | −0.0649072 | + | 0.866126i | −0.00240893 | + | 0.0321450i | ||||
\(727\) | 4.02231 | + | 17.6229i | 0.149179 | + | 0.653597i | 0.993114 | + | 0.117151i | \(0.0373762\pi\) |
−0.843935 | + | 0.536446i | \(0.819767\pi\) | |||||||
\(728\) | 11.7902 | + | 14.1535i | 0.436972 | + | 0.524563i | ||||
\(729\) | 5.93191 | − | 25.9894i | 0.219700 | − | 0.962570i | ||||
\(730\) | 1.74736 | + | 0.538990i | 0.0646728 | + | 0.0199489i | ||||
\(731\) | 3.84093 | − | 9.78653i | 0.142062 | − | 0.361968i | ||||
\(732\) | −0.363143 | + | 0.336947i | −0.0134221 | + | 0.0124539i | ||||
\(733\) | 43.2568 | − | 29.4920i | 1.59773 | − | 1.08931i | 0.655059 | − | 0.755578i | \(-0.272644\pi\) |
0.942668 | − | 0.333733i | \(-0.108308\pi\) | |||||||
\(734\) | 2.66803 | 0.0984790 | ||||||||
\(735\) | 0.163581 | + | 0.188054i | 0.00603376 | + | 0.00693649i | ||||
\(736\) | −3.29312 | −0.121386 | ||||||||
\(737\) | 2.54507 | − | 1.73520i | 0.0937488 | − | 0.0639169i | ||||
\(738\) | 11.1157 | − | 10.3139i | 0.409176 | − | 0.379659i | ||||
\(739\) | −7.00237 | + | 17.8417i | −0.257586 | + | 0.656319i | −0.999906 | − | 0.0137270i | \(-0.995630\pi\) |
0.742320 | + | 0.670046i | \(0.233726\pi\) | |||||||
\(740\) | −0.764718 | − | 0.235884i | −0.0281116 | − | 0.00867128i | ||||
\(741\) | 0.618322 | − | 2.70904i | 0.0227146 | − | 0.0995193i | ||||
\(742\) | 21.6726 | + | 9.87254i | 0.795628 | + | 0.362432i | ||||
\(743\) | −6.19260 | − | 27.1316i | −0.227185 | − | 0.995361i | −0.951923 | − | 0.306337i | \(-0.900897\pi\) |
0.724739 | − | 0.689024i | \(-0.241961\pi\) | |||||||
\(744\) | 0.0248544 | − | 0.331659i | 0.000911207 | − | 0.0121592i | ||||
\(745\) | 0.324783 | − | 0.100182i | 0.0118991 | − | 0.00367040i | ||||
\(746\) | −1.16321 | − | 15.5220i | −0.0425882 | − | 0.568300i | ||||
\(747\) | −17.1332 | − | 43.6548i | −0.626873 | − | 1.59725i | ||||
\(748\) | 5.61733 | + | 2.70516i | 0.205390 | + | 0.0989106i | ||||
\(749\) | 3.18032 | + | 2.82695i | 0.116206 | + | 0.103295i | ||||
\(750\) | 0.314397 | − | 0.151406i | 0.0114802 | − | 0.00552855i | ||||
\(751\) | 6.46920 | + | 6.00254i | 0.236065 | + | 0.219036i | 0.789330 | − | 0.613969i | \(-0.210428\pi\) |
−0.553266 | + | 0.833005i | \(0.686619\pi\) | |||||||
\(752\) | −5.28219 | − | 0.796161i | −0.192622 | − | 0.0290330i | ||||
\(753\) | 0.313319 | + | 0.542684i | 0.0114180 | + | 0.0197765i | ||||
\(754\) | −19.2245 | + | 33.2978i | −0.700115 | + | 1.21263i | ||||
\(755\) | −5.26692 | + | 6.60451i | −0.191683 | + | 0.240363i | ||||
\(756\) | 0.436412 | − | 1.18581i | 0.0158721 | − | 0.0431277i | ||||
\(757\) | −29.8250 | − | 37.3994i | −1.08401 | − | 1.35931i | −0.928441 | − | 0.371480i | \(-0.878850\pi\) |
−0.155569 | − | 0.987825i | \(-0.549721\pi\) | |||||||
\(758\) | 16.9133 | − | 2.54927i | 0.614318 | − | 0.0925936i | ||||
\(759\) | 1.01460 | + | 0.691746i | 0.0368278 | + | 0.0251088i | ||||
\(760\) | −1.84926 | − | 1.26080i | −0.0670797 | − | 0.0457341i | ||||
\(761\) | 7.05385 | − | 1.06320i | 0.255702 | − | 0.0385409i | −0.0199403 | − | 0.999801i | \(-0.506348\pi\) |
0.275642 | + | 0.961260i | \(0.411110\pi\) | |||||||
\(762\) | −0.0635452 | − | 0.0796831i | −0.00230200 | − | 0.00288662i | ||||
\(763\) | −5.28081 | − | 3.43754i | −0.191178 | − | 0.124447i | ||||
\(764\) | −12.7406 | + | 15.9762i | −0.460937 | + | 0.577997i | ||||
\(765\) | 0.891119 | − | 1.54346i | 0.0322185 | − | 0.0558040i | ||||
\(766\) | 3.63272 | + | 6.29205i | 0.131255 | + | 0.227341i | ||||
\(767\) | −69.2265 | − | 10.4342i | −2.49962 | − | 0.376758i | ||||
\(768\) | 0.0584109 | + | 0.0541974i | 0.00210772 | + | 0.00195568i | ||||
\(769\) | −21.8541 | + | 10.5244i | −0.788080 | + | 0.379519i | −0.784228 | − | 0.620473i | \(-0.786941\pi\) |
−0.00385239 | + | 0.999993i | \(0.501226\pi\) | |||||||
\(770\) | −5.32059 | − | 1.51754i | −0.191741 | − | 0.0546885i | ||||
\(771\) | −1.34142 | − | 0.645995i | −0.0483101 | − | 0.0232649i | ||||
\(772\) | −4.38857 | − | 11.1819i | −0.157948 | − | 0.402445i | ||||
\(773\) | −0.0304992 | − | 0.406984i | −0.00109698 | − | 0.0146382i | 0.996628 | − | 0.0820472i | \(-0.0261458\pi\) |
−0.997725 | + | 0.0674090i | \(0.978527\pi\) | |||||||
\(774\) | 22.5740 | − | 6.96314i | 0.811404 | − | 0.250285i | ||||
\(775\) | 1.49732 | − | 19.9803i | 0.0537853 | − | 0.717715i | ||||
\(776\) | −3.74055 | − | 16.3884i | −0.134278 | − | 0.588310i | ||||
\(777\) | 0.336587 | − | 0.171040i | 0.0120750 | − | 0.00613603i | ||||
\(778\) | −4.44269 | + | 19.4647i | −0.159278 | + | 0.697844i | ||||
\(779\) | 24.2431 | + | 7.47802i | 0.868601 | + | 0.267928i | ||||
\(780\) | 0.0905708 | − | 0.230771i | 0.00324296 | − | 0.00826291i | ||||
\(781\) | −0.872407 | + | 0.809475i | −0.0312172 | + | 0.0289653i | ||||
\(782\) | 3.62500 | − | 2.47148i | 0.129630 | − | 0.0883801i | ||||
\(783\) | 2.63739 | 0.0942526 | ||||||||
\(784\) | −3.23796 | + | 6.20609i | −0.115641 | + | 0.221646i | ||||
\(785\) | −3.14993 | −0.112426 | ||||||||
\(786\) | 0.864448 | − | 0.589371i | 0.0308339 | − | 0.0210222i | ||||
\(787\) | 4.04448 | − | 3.75272i | 0.144170 | − | 0.133770i | −0.604791 | − | 0.796384i | \(-0.706743\pi\) |
0.748961 | + | 0.662614i | \(0.230553\pi\) | |||||||
\(788\) | −6.25915 | + | 15.9480i | −0.222973 | + | 0.568126i | ||||
\(789\) | 0.639610 | + | 0.197293i | 0.0227707 | + | 0.00702383i | ||||
\(790\) | 0.184607 | − | 0.808818i | 0.00656804 | − | 0.0287764i | ||||
\(791\) | −3.80291 | + | 18.4714i | −0.135216 | + | 0.656768i | ||||
\(792\) | 3.11743 | + | 13.6584i | 0.110773 | + | 0.485329i | ||||
\(793\) | −3.23475 | + | 43.1647i | −0.114869 | + | 1.53282i | ||||
\(794\) | −27.0859 | + | 8.35490i | −0.961244 | + | 0.296504i | ||||
\(795\) | −0.0239515 | − | 0.319610i | −0.000849470 | − | 0.0113354i | ||||
\(796\) | 8.19853 | + | 20.8895i | 0.290589 | + | 0.740409i | ||||
\(797\) | 45.6273 | + | 21.9730i | 1.61620 | + | 0.778322i | 0.999957 | − | 0.00923199i | \(-0.00293868\pi\) |
0.616245 | + | 0.787554i | \(0.288653\pi\) | |||||||
\(798\) | 1.04053 | − | 0.179637i | 0.0368343 | − | 0.00635909i | ||||
\(799\) | 6.41205 | − | 3.08788i | 0.226842 | − | 0.109241i | ||||
\(800\) | 3.51888 | + | 3.26505i | 0.124411 | + | 0.115437i | ||||
\(801\) | −24.4389 | − | 3.68357i | −0.863507 | − | 0.130153i | ||||
\(802\) | 0.468216 | + | 0.810974i | 0.0165333 | + | 0.0286365i | ||||
\(803\) | 9.57514 | − | 16.5846i | 0.337899 | − | 0.585259i | ||||
\(804\) | −0.0327007 | + | 0.0410054i | −0.00115327 | + | 0.00144615i | ||||
\(805\) | −2.79684 | + | 2.70850i | −0.0985756 | + | 0.0954622i | ||||
\(806\) | −18.1192 | − | 22.7208i | −0.638222 | − | 0.800305i | ||||
\(807\) | −1.04814 | + | 0.157982i | −0.0368964 | + | 0.00556123i | ||||
\(808\) | 12.0842 | + | 8.23888i | 0.425121 | + | 0.289843i | ||||
\(809\) | 29.9081 | + | 20.3910i | 1.05151 | + | 0.716910i | 0.960314 | − | 0.278923i | \(-0.0899774\pi\) |
0.0911999 | + | 0.995833i | \(0.470930\pi\) | |||||||
\(810\) | 3.95157 | − | 0.595603i | 0.138844 | − | 0.0209274i | ||||
\(811\) | −15.0068 | − | 18.8180i | −0.526962 | − | 0.660789i | 0.445109 | − | 0.895476i | \(-0.353165\pi\) |
−0.972071 | + | 0.234687i | \(0.924593\pi\) | |||||||
\(812\) | −14.4908 | − | 1.86861i | −0.508526 | − | 0.0655753i | ||||
\(813\) | −0.0629189 | + | 0.0788978i | −0.00220666 | + | 0.00276707i | ||||
\(814\) | −4.19048 | + | 7.25812i | −0.146876 | + | 0.254397i | ||||
\(815\) | 4.01569 | + | 6.95539i | 0.140664 | + | 0.243637i | ||||
\(816\) | −0.104973 | − | 0.0158221i | −0.00367478 | − | 0.000553884i | ||||
\(817\) | 28.9735 | + | 26.8834i | 1.01365 | + | 0.940533i | ||||
\(818\) | −16.1606 | + | 7.78256i | −0.565044 | + | 0.272111i | ||||
\(819\) | −21.2386 | − | 50.8917i | −0.742136 | − | 1.77830i | ||||
\(820\) | 2.03930 | + | 0.982075i | 0.0712154 | + | 0.0342955i | ||||
\(821\) | −7.55367 | − | 19.2464i | −0.263625 | − | 0.671706i | 0.736363 | − | 0.676587i | \(-0.236542\pi\) |
−0.999988 | + | 0.00488102i | \(0.998446\pi\) | |||||||
\(822\) | −0.0454324 | − | 0.606253i | −0.00158464 | − | 0.0211455i | ||||
\(823\) | 2.44783 | − | 0.755055i | 0.0853259 | − | 0.0263196i | −0.251798 | − | 0.967780i | \(-0.581022\pi\) |
0.337124 | + | 0.941460i | \(0.390546\pi\) | |||||||
\(824\) | 0.508462 | − | 6.78495i | 0.0177131 | − | 0.236365i | ||||
\(825\) | −0.398314 | − | 1.74513i | −0.0138675 | − | 0.0607575i | ||||
\(826\) | −6.47232 | − | 25.8041i | −0.225201 | − | 0.897840i | ||||
\(827\) | −4.01538 | + | 17.5925i | −0.139629 | + | 0.611753i | 0.855888 | + | 0.517162i | \(0.173011\pi\) |
−0.995516 | + | 0.0945909i | \(0.969846\pi\) | |||||||
\(828\) | 9.42046 | + | 2.90583i | 0.327384 | + | 0.100984i | ||||
\(829\) | −8.28721 | + | 21.1155i | −0.287827 | + | 0.733370i | 0.711696 | + | 0.702487i | \(0.247927\pi\) |
−0.999523 | + | 0.0308831i | \(0.990168\pi\) | |||||||
\(830\) | 5.13150 | − | 4.76133i | 0.178117 | − | 0.165268i | ||||
\(831\) | −1.19840 | + | 0.817058i | −0.0415722 | + | 0.0283434i | ||||
\(832\) | 6.96244 | 0.241379 | ||||||||
\(833\) | −1.09339 | − | 9.26164i | −0.0378836 | − | 0.320897i | ||||
\(834\) | 0.444225 | 0.0153822 | ||||||||
\(835\) | −1.70686 | + | 1.16372i | −0.0590685 | + | 0.0402722i | ||||
\(836\) | −17.1824 | + | 15.9429i | −0.594264 | + | 0.551397i | ||||
\(837\) | −0.728279 | + | 1.85562i | −0.0251730 | + | 0.0641398i | ||||
\(838\) | −22.3521 | − | 6.89470i | −0.772140 | − | 0.238174i | ||||
\(839\) | 10.0547 | − | 44.0524i | 0.347126 | − | 1.52086i | −0.436545 | − | 0.899682i | \(-0.643798\pi\) |
0.783671 | − | 0.621176i | \(-0.213345\pi\) | |||||||
\(840\) | 0.0941843 | − | 0.00201168i | 0.00324967 | − | 6.94097e-5i | ||||
\(841\) | −0.332962 | − | 1.45880i | −0.0114815 | − | 0.0503035i | ||||
\(842\) | 1.40889 | − | 18.8004i | 0.0485536 | − | 0.647903i | ||||
\(843\) | 1.07852 | − | 0.332681i | 0.0371464 | − | 0.0114581i | ||||
\(844\) | 1.03516 | + | 13.8132i | 0.0356316 | + | 0.475471i | ||||
\(845\) | −5.79158 | − | 14.7567i | −0.199236 | − | 0.507646i | ||||
\(846\) | 14.4080 | + | 6.93851i | 0.495356 | + | 0.238551i | ||||
\(847\) | −13.8831 | + | 25.2779i | −0.477029 | + | 0.868560i | ||||
\(848\) | 8.10994 | − | 3.90554i | 0.278497 | − | 0.134117i | ||||
\(849\) | 0.911330 | + | 0.845590i | 0.0312768 | + | 0.0290206i | ||||
\(850\) | −6.32394 | − | 0.953180i | −0.216909 | − | 0.0326938i | ||||
\(851\) | 2.94880 | + | 5.10747i | 0.101084 | + | 0.175082i | ||||
\(852\) | 0.0101318 | − | 0.0175489i | 0.000347111 | − | 0.000601215i | ||||
\(853\) | −16.6074 | + | 20.8250i | −0.568626 | + | 0.713034i | −0.980126 | − | 0.198375i | \(-0.936434\pi\) |
0.411500 | + | 0.911410i | \(0.365005\pi\) | |||||||
\(854\) | −15.6108 | + | 5.18289i | −0.534192 | + | 0.177355i | ||||
\(855\) | 4.17756 | + | 5.23849i | 0.142870 | + | 0.179153i | ||||
\(856\) | 1.59032 | − | 0.239703i | 0.0543561 | − | 0.00819287i | ||||
\(857\) | 40.8523 | + | 27.8526i | 1.39549 | + | 0.951427i | 0.999449 | + | 0.0331922i | \(0.0105674\pi\) |
0.396037 | + | 0.918234i | \(0.370385\pi\) | |||||||
\(858\) | −2.14512 | − | 1.46252i | −0.0732331 | − | 0.0499295i | ||||
\(859\) | −25.4530 | + | 3.83642i | −0.868444 | + | 0.130897i | −0.568125 | − | 0.822942i | \(-0.692331\pi\) |
−0.300318 | + | 0.953839i | \(0.597093\pi\) | |||||||
\(860\) | 2.19857 | + | 2.75693i | 0.0749708 | + | 0.0940104i | ||||
\(861\) | −1.01345 | + | 0.336472i | −0.0345384 | + | 0.0114670i | ||||
\(862\) | 6.64031 | − | 8.32669i | 0.226170 | − | 0.283608i | ||||
\(863\) | −13.1220 | + | 22.7280i | −0.446679 | + | 0.773671i | −0.998167 | − | 0.0605116i | \(-0.980727\pi\) |
0.551488 | + | 0.834183i | \(0.314060\pi\) | |||||||
\(864\) | −0.238793 | − | 0.413601i | −0.00812389 | − | 0.0140710i | ||||
\(865\) | 2.47981 | + | 0.373772i | 0.0843162 | + | 0.0127086i | ||||
\(866\) | −5.25406 | − | 4.87505i | −0.178540 | − | 0.165661i | ||||
\(867\) | −1.09302 | + | 0.526370i | −0.0371208 | + | 0.0178764i | ||||
\(868\) | 5.31615 | − | 9.67948i | 0.180442 | − | 0.328543i | ||||
\(869\) | −7.82787 | − | 3.76970i | −0.265542 | − | 0.127878i | ||||
\(870\) | 0.0718374 | + | 0.183039i | 0.00243552 | + | 0.00620559i | ||||
\(871\) | 0.342473 | + | 4.56998i | 0.0116042 | + | 0.154848i | ||||
\(872\) | −2.27578 | + | 0.701985i | −0.0770676 | + | 0.0237722i | ||||
\(873\) | −3.76064 | + | 50.1822i | −0.127278 | + | 1.69841i | ||||
\(874\) | 3.67030 | + | 16.0806i | 0.124150 | + | 0.543935i | ||||
\(875\) | 11.5840 | − | 0.247423i | 0.391611 | − | 0.00836443i | ||||
\(876\) | −0.0725571 | + | 0.317894i | −0.00245148 | + | 0.0107406i | ||||
\(877\) | −11.8787 | − | 3.66410i | −0.401116 | − | 0.123728i | 0.0876321 | − | 0.996153i | \(-0.472070\pi\) |
−0.488748 | + | 0.872425i | \(0.662546\pi\) | |||||||
\(878\) | −9.07748 | + | 23.1290i | −0.306350 | + | 0.780567i | ||||
\(879\) | 1.38682 | − | 1.28678i | 0.0467761 | − | 0.0434019i | ||||
\(880\) | −1.72782 | + | 1.17801i | −0.0582450 | + | 0.0397107i | ||||
\(881\) | −30.3136 | −1.02129 | −0.510645 | − | 0.859792i | \(-0.670593\pi\) | ||||
−0.510645 | + | 0.859792i | \(0.670593\pi\) | |||||||
\(882\) | 14.7389 | − | 14.8963i | 0.496285 | − | 0.501585i | ||||
\(883\) | 30.3184 | 1.02030 | 0.510148 | − | 0.860087i | \(-0.329591\pi\) | ||||
0.510148 | + | 0.860087i | \(0.329591\pi\) | |||||||
\(884\) | −7.66412 | + | 5.22531i | −0.257772 | + | 0.175746i | ||||
\(885\) | −0.262453 | + | 0.243521i | −0.00882227 | + | 0.00818587i | ||||
\(886\) | −6.49873 | + | 16.5585i | −0.218329 | + | 0.556293i | ||||
\(887\) | −26.7618 | − | 8.25492i | −0.898573 | − | 0.277173i | −0.189144 | − | 0.981949i | \(-0.560571\pi\) |
−0.709430 | + | 0.704776i | \(0.751047\pi\) | |||||||
\(888\) | 0.0317540 | − | 0.139123i | 0.00106559 | − | 0.00466868i | ||||
\(889\) | −0.823314 | − | 3.28242i | −0.0276131 | − | 0.110089i | ||||
\(890\) | −0.820916 | − | 3.59667i | −0.0275172 | − | 0.120561i | ||||
\(891\) | 3.12751 | − | 41.7337i | 0.104776 | − | 1.39813i | ||||
\(892\) | 17.4490 | − | 5.38229i | 0.584235 | − | 0.180212i | ||||
\(893\) | 1.99945 | + | 26.6808i | 0.0669090 | + | 0.892839i | ||||
\(894\) | 0.0221421 | + | 0.0564171i | 0.000740542 | + | 0.00188687i | ||||
\(895\) | −5.81660 | − | 2.80113i | −0.194427 | − | 0.0936313i | ||||
\(896\) | 1.01897 | + | 2.44166i | 0.0340415 | + | 0.0815701i | ||||
\(897\) | −1.64603 | + | 0.792686i | −0.0549593 | + | 0.0264670i | ||||
\(898\) | 17.5216 | + | 16.2577i | 0.584704 | + | 0.542526i | ||||
\(899\) | 22.7926 | + | 3.43544i | 0.760177 | + | 0.114578i | ||||
\(900\) | −7.18524 | − | 12.4452i | −0.239508 | − | 0.414840i | ||||
\(901\) | −5.99616 | + | 10.3857i | −0.199761 | + | 0.345996i | ||||
\(902\) | 14.7794 | − | 18.5328i | 0.492100 | − | 0.617073i | ||||
\(903\) | −1.64995 | − | 0.212763i | −0.0549068 | − | 0.00708032i | ||||
\(904\) | 4.44422 | + | 5.57287i | 0.147812 | + | 0.185351i | ||||
\(905\) | −5.99253 | + | 0.903228i | −0.199198 | + | 0.0300243i | ||||
\(906\) | −1.24458 | − | 0.848541i | −0.0413484 | − | 0.0281909i | ||||
\(907\) | −15.3137 | − | 10.4407i | −0.508482 | − | 0.346677i | 0.281747 | − | 0.959489i | \(-0.409086\pi\) |
−0.790229 | + | 0.612812i | \(0.790038\pi\) | |||||||
\(908\) | 4.14887 | − | 0.625342i | 0.137685 | − | 0.0207527i | ||||
\(909\) | −27.2988 | − | 34.2316i | −0.905444 | − | 1.13539i | ||||
\(910\) | 5.91319 | − | 5.72643i | 0.196020 | − | 0.189829i | ||||
\(911\) | −25.2743 | + | 31.6929i | −0.837374 | + | 1.05003i | 0.160638 | + | 0.987013i | \(0.448645\pi\) |
−0.998012 | + | 0.0630208i | \(0.979927\pi\) | |||||||
\(912\) | 0.199550 | − | 0.345631i | 0.00660777 | − | 0.0114450i | ||||
\(913\) | −36.6552 | − | 63.4886i | −1.21311 | − | 2.10117i | ||||
\(914\) | −9.14156 | − | 1.37787i | −0.302376 | − | 0.0455758i | ||||
\(915\) | 0.162273 | + | 0.150567i | 0.00536458 | + | 0.00497760i | ||||
\(916\) | −3.01191 | + | 1.45046i | −0.0995162 | + | 0.0479245i | ||||
\(917\) | 34.2331 | − | 5.91002i | 1.13048 | − | 0.195166i | ||||
\(918\) | 0.573266 | + | 0.276070i | 0.0189206 | + | 0.00911167i | ||||
\(919\) | 15.4139 | + | 39.2741i | 0.508459 | + | 1.29553i | 0.922754 | + | 0.385389i | \(0.125933\pi\) |
−0.414295 | + | 0.910142i | \(0.635972\pi\) | |||||||
\(920\) | 0.109969 | + | 1.46744i | 0.00362558 | + | 0.0483800i | ||||
\(921\) | 0.473542 | − | 0.146068i | 0.0156038 | − | 0.00481312i | ||||
\(922\) | 1.43322 | − | 19.1250i | 0.0472006 | − | 0.629849i | ||||
\(923\) | −0.393996 | − | 1.72621i | −0.0129685 | − | 0.0568189i | ||||
\(924\) | 0.198946 | − | 0.966315i | 0.00654483 | − | 0.0317894i | ||||
\(925\) | 1.91298 | − | 8.38129i | 0.0628982 | − | 0.275575i | ||||
\(926\) | −5.27586 | − | 1.62739i | −0.173375 | − | 0.0534792i | ||||
\(927\) | −7.44153 | + | 18.9607i | −0.244412 | + | 0.622752i | ||||
\(928\) | −4.04817 | + | 3.75615i | −0.132888 | + | 0.123302i | ||||
\(929\) | −46.1075 | + | 31.4356i | −1.51274 | + | 1.03137i | −0.529655 | + | 0.848213i | \(0.677678\pi\) |
−0.983084 | + | 0.183154i | \(0.941369\pi\) | |||||||
\(930\) | −0.148620 | −0.00487344 | ||||||||
\(931\) | 33.9138 | + | 8.89438i | 1.11148 | + | 0.291501i | ||||
\(932\) | 22.5084 | 0.737286 | ||||||||
\(933\) | 1.94983 | − | 1.32937i | 0.0638347 | − | 0.0435218i | ||||
\(934\) | 25.9994 | − | 24.1239i | 0.850727 | − | 0.789359i | ||||
\(935\) | 1.01786 | − | 2.59346i | 0.0332876 | − | 0.0848153i | ||||
\(936\) | −19.9171 | − | 6.14361i | −0.651011 | − | 0.200810i | ||||
\(937\) | −4.81598 | + | 21.1002i | −0.157331 | + | 0.689313i | 0.833308 | + | 0.552808i | \(0.186444\pi\) |
−0.990639 | + | 0.136504i | \(0.956413\pi\) | |||||||
\(938\) | −1.55252 | + | 0.788932i | −0.0506917 | + | 0.0257595i | ||||
\(939\) | 0.172844 | + | 0.757279i | 0.00564055 | + | 0.0247129i | ||||
\(940\) | −0.178384 | + | 2.38037i | −0.00581825 | + | 0.0776392i | ||||
\(941\) | −3.87230 | + | 1.19445i | −0.126233 | + | 0.0389379i | −0.357228 | − | 0.934017i | \(-0.616278\pi\) |
0.230995 | + | 0.972955i | \(0.425802\pi\) | |||||||
\(942\) | −0.0419746 | − | 0.560112i | −0.00136761 | − | 0.0182494i | ||||
\(943\) | −6.09407 | − | 15.5274i | −0.198450 | − | 0.505643i | ||||
\(944\) | −9.05938 | − | 4.36277i | −0.294858 | − | 0.141996i | ||||
\(945\) | −0.542982 | − | 0.154870i | −0.0176632 | − | 0.00503792i | ||||
\(946\) | 33.2719 | − | 16.0229i | 1.08176 | − | 0.520949i | ||||
\(947\) | 35.0517 | + | 32.5232i | 1.13903 | + | 1.05686i | 0.997760 | + | 0.0668895i | \(0.0213075\pi\) |
0.141265 | + | 0.989972i | \(0.454883\pi\) | |||||||
\(948\) | 0.146282 | + | 0.0220484i | 0.00475101 | + | 0.000716100i | ||||
\(949\) | 14.2456 | + | 24.6741i | 0.462433 | + | 0.800957i | ||||
\(950\) | 12.0216 | − | 20.8221i | 0.390033 | − | 0.675557i | ||||
\(951\) | 0.370597 | − | 0.464713i | 0.0120174 | − | 0.0150694i | ||||
\(952\) | −2.95413 | − | 1.92299i | −0.0957439 | − | 0.0623245i | ||||
\(953\) | 3.50558 | + | 4.39586i | 0.113557 | + | 0.142396i | 0.835361 | − | 0.549701i | \(-0.185258\pi\) |
−0.721804 | + | 0.692097i | \(0.756687\pi\) | |||||||
\(954\) | −26.6459 | + | 4.01623i | −0.862694 | + | 0.130030i | ||||
\(955\) | 7.54456 | + | 5.14379i | 0.244136 | + | 0.166449i | ||||
\(956\) | −11.0498 | − | 7.53362i | −0.357376 | − | 0.243655i | ||||
\(957\) | 2.03624 | − | 0.306914i | 0.0658224 | − | 0.00992113i | ||||
\(958\) | −16.5438 | − | 20.7452i | −0.534505 | − | 0.670248i | ||||
\(959\) | 6.97199 | − | 18.9442i | 0.225137 | − | 0.611741i | ||||
\(960\) | 0.0222002 | − | 0.0278382i | 0.000716510 | − | 0.000898475i | ||||
\(961\) | 6.78901 | − | 11.7589i | 0.219000 | − | 0.379320i | ||||
\(962\) | −6.23448 | − | 10.7984i | −0.201008 | − | 0.348155i | ||||
\(963\) | −4.76087 | − | 0.717586i | −0.153417 | − | 0.0231239i | ||||
\(964\) | 7.77604 | + | 7.21511i | 0.250449 | + | 0.232383i | ||||
\(965\) | −4.83619 | + | 2.32899i | −0.155682 | + | 0.0749727i | ||||
\(966\) | −0.518888 | − | 0.461234i | −0.0166950 | − | 0.0148400i | ||||
\(967\) | 22.7403 | + | 10.9511i | 0.731278 | + | 0.352165i | 0.762187 | − | 0.647357i | \(-0.224126\pi\) |
−0.0309089 | + | 0.999522i | \(0.509840\pi\) | |||||||
\(968\) | 3.98232 | + | 10.1468i | 0.127997 | + | 0.326130i | ||||
\(969\) | 0.0397350 | + | 0.530227i | 0.00127647 | + | 0.0170333i | ||||
\(970\) | −7.17790 | + | 2.21409i | −0.230469 | + | 0.0710901i | ||||
\(971\) | −3.86896 | + | 51.6277i | −0.124161 | + | 1.65681i | 0.493040 | + | 0.870007i | \(0.335886\pi\) |
−0.617201 | + | 0.786806i | \(0.711733\pi\) | |||||||
\(972\) | 0.477383 | + | 2.09155i | 0.0153121 | + | 0.0670866i | ||||
\(973\) | 13.4229 | + | 6.11455i | 0.430320 | + | 0.196023i | ||||
\(974\) | −4.25322 | + | 18.6346i | −0.136282 | + | 0.597090i | ||||
\(975\) | 2.54480 | + | 0.784968i | 0.0814990 | + | 0.0251391i | ||||
\(976\) | −2.27134 | + | 5.78727i | −0.0727038 | + | 0.185246i | ||||
\(977\) | 13.5712 | − | 12.5923i | 0.434182 | − | 0.402862i | −0.432571 | − | 0.901600i | \(-0.642393\pi\) |
0.866753 | + | 0.498738i | \(0.166203\pi\) | |||||||
\(978\) | −1.18328 | + | 0.806744i | −0.0378370 | + | 0.0257968i | ||||
\(979\) | −38.6353 | −1.23479 | ||||||||
\(980\) | 2.87361 | + | 1.23562i | 0.0917942 | + | 0.0394704i | ||||
\(981\) | 7.12964 | 0.227632 | ||||||||
\(982\) | 26.0290 | − | 17.7463i | 0.830619 | − | 0.566306i | ||||
\(983\) | 14.1740 | − | 13.1515i | 0.452080 | − | 0.419469i | −0.420989 | − | 0.907066i | \(-0.638317\pi\) |
0.873069 | + | 0.487597i | \(0.162126\pi\) | |||||||
\(984\) | −0.147455 | + | 0.375709i | −0.00470070 | + | 0.0119772i | ||||
\(985\) | 7.31559 | + | 2.25656i | 0.233094 | + | 0.0719000i | ||||
\(986\) | 1.63716 | − | 7.17285i | 0.0521377 | − | 0.228430i | ||||
\(987\) | −0.720791 | − | 0.865273i | −0.0229430 | − | 0.0275419i | ||||
\(988\) | −7.75989 | − | 33.9983i | −0.246875 | − | 1.08163i | ||||
\(989\) | 1.94198 | − | 25.9140i | 0.0617515 | − | 0.824016i | ||||
\(990\) | 5.98217 | − | 1.84526i | 0.190126 | − | 0.0586461i | ||||
\(991\) | 3.56039 | + | 47.5102i | 0.113100 | + | 1.50921i | 0.708460 | + | 0.705751i | \(0.249390\pi\) |
−0.595360 | + | 0.803459i | \(0.702991\pi\) | |||||||
\(992\) | −1.52492 | − | 3.88543i | −0.0484163 | − | 0.123363i | ||||
\(993\) | −0.131071 | − | 0.0631203i | −0.00415940 | − | 0.00200306i | ||||
\(994\) | 0.547702 | − | 0.390806i | 0.0173720 | − | 0.0123956i | ||||
\(995\) | 9.03475 | − | 4.35091i | 0.286421 | − | 0.137933i | ||||
\(996\) | 0.915027 | + | 0.849021i | 0.0289938 | + | 0.0269023i | ||||
\(997\) | −8.65494 | − | 1.30452i | −0.274105 | − | 0.0413146i | 0.0105515 | − | 0.999944i | \(-0.496641\pi\) |
−0.284656 | + | 0.958630i | \(0.591879\pi\) | |||||||
\(998\) | 10.8652 | + | 18.8190i | 0.343931 | + | 0.595706i | ||||
\(999\) | −0.427651 | + | 0.740713i | −0.0135303 | + | 0.0234351i |
(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 | 98.2.g.b.37.2 | ✓ | 24 | |
3.2 | odd | 2 | 882.2.z.b.37.2 | 24 | |||
4.3 | odd | 2 | 784.2.bg.b.625.1 | 24 | |||
7.2 | even | 3 | 686.2.e.c.197.3 | 24 | |||
7.3 | odd | 6 | 686.2.g.d.459.2 | 24 | |||
7.4 | even | 3 | 686.2.g.f.459.1 | 24 | |||
7.5 | odd | 6 | 686.2.e.d.197.2 | 24 | |||
7.6 | odd | 2 | 686.2.g.e.373.1 | 24 | |||
49.2 | even | 21 | 4802.2.a.o.1.5 | 12 | |||
49.4 | even | 21 | inner | 98.2.g.b.53.2 | yes | 24 | |
49.22 | even | 7 | 686.2.g.f.275.1 | 24 | |||
49.23 | even | 21 | 686.2.e.c.491.3 | 24 | |||
49.26 | odd | 42 | 686.2.e.d.491.2 | 24 | |||
49.27 | odd | 14 | 686.2.g.d.275.2 | 24 | |||
49.45 | odd | 42 | 686.2.g.e.263.1 | 24 | |||
49.47 | odd | 42 | 4802.2.a.l.1.8 | 12 | |||
147.53 | odd | 42 | 882.2.z.b.739.2 | 24 | |||
196.151 | odd | 42 | 784.2.bg.b.641.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.b.37.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
98.2.g.b.53.2 | yes | 24 | 49.4 | even | 21 | inner | |
686.2.e.c.197.3 | 24 | 7.2 | even | 3 | |||
686.2.e.c.491.3 | 24 | 49.23 | even | 21 | |||
686.2.e.d.197.2 | 24 | 7.5 | odd | 6 | |||
686.2.e.d.491.2 | 24 | 49.26 | odd | 42 | |||
686.2.g.d.275.2 | 24 | 49.27 | odd | 14 | |||
686.2.g.d.459.2 | 24 | 7.3 | odd | 6 | |||
686.2.g.e.263.1 | 24 | 49.45 | odd | 42 | |||
686.2.g.e.373.1 | 24 | 7.6 | odd | 2 | |||
686.2.g.f.275.1 | 24 | 49.22 | even | 7 | |||
686.2.g.f.459.1 | 24 | 7.4 | even | 3 | |||
784.2.bg.b.625.1 | 24 | 4.3 | odd | 2 | |||
784.2.bg.b.641.1 | 24 | 196.151 | odd | 42 | |||
882.2.z.b.37.2 | 24 | 3.2 | odd | 2 | |||
882.2.z.b.739.2 | 24 | 147.53 | odd | 42 | |||
4802.2.a.l.1.8 | 12 | 49.47 | odd | 42 | |||
4802.2.a.o.1.5 | 12 | 49.2 | even | 21 |