Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), 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: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.6 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.6 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.799555 | − | 1.16650i | −0.565370 | − | 0.824837i | ||||
\(3\) | −0.763582 | + | 0.204601i | −0.440854 | + | 0.118127i | −0.472417 | − | 0.881375i | \(-0.656618\pi\) |
0.0315627 | + | 0.999502i | \(0.489952\pi\) | |||||||
\(4\) | −0.721425 | + | 1.86535i | −0.360713 | + | 0.932677i | ||||
\(5\) | −1.02188 | + | 3.81370i | −0.456998 | + | 1.70554i | 0.225150 | + | 0.974324i | \(0.427713\pi\) |
−0.682148 | + | 0.731214i | \(0.738954\pi\) | |||||||
\(6\) | 0.849192 | + | 0.727125i | 0.346681 | + | 0.296848i | ||||
\(7\) | −2.64575 | + | 0.00379639i | −0.999999 | + | 0.00143490i | ||||
\(8\) | 2.75275 | − | 0.649913i | 0.973243 | − | 0.229779i | ||||
\(9\) | −2.05688 | + | 1.18754i | −0.685627 | + | 0.395847i | ||||
\(10\) | 5.26571 | − | 1.85724i | 1.66516 | − | 0.587312i | ||||
\(11\) | 4.35958 | − | 1.16815i | 1.31446 | − | 0.352209i | 0.467562 | − | 0.883960i | \(-0.345132\pi\) |
0.846901 | + | 0.531751i | \(0.178466\pi\) | |||||||
\(12\) | 0.169214 | − | 1.57195i | 0.0488477 | − | 0.453784i | ||||
\(13\) | −1.34913 | + | 1.34913i | −0.374182 | + | 0.374182i | −0.868998 | − | 0.494816i | \(-0.835236\pi\) |
0.494816 | + | 0.868998i | \(0.335236\pi\) | |||||||
\(14\) | 2.11985 | + | 3.08322i | 0.566553 | + | 0.824025i | ||||
\(15\) | − | 3.12115i | − | 0.805877i | ||||||
\(16\) | −2.95909 | − | 2.69143i | −0.739773 | − | 0.672857i | ||||
\(17\) | 0.989178 | + | 0.571102i | 0.239911 | + | 0.138513i | 0.615136 | − | 0.788421i | \(-0.289101\pi\) |
−0.375225 | + | 0.926934i | \(0.622435\pi\) | |||||||
\(18\) | 3.02985 | + | 1.44984i | 0.714142 | + | 0.341730i | ||||
\(19\) | −0.808212 | + | 3.01629i | −0.185416 | + | 0.691984i | 0.809125 | + | 0.587637i | \(0.199942\pi\) |
−0.994541 | + | 0.104346i | \(0.966725\pi\) | |||||||
\(20\) | −6.37669 | − | 4.65746i | −1.42587 | − | 1.04144i | ||||
\(21\) | 2.01947 | − | 0.544222i | 0.440684 | − | 0.118759i | ||||
\(22\) | −4.84836 | − | 4.15144i | −1.03367 | − | 0.885089i | ||||
\(23\) | −1.02392 | − | 1.77348i | −0.213502 | − | 0.369796i | 0.739306 | − | 0.673369i | \(-0.235154\pi\) |
−0.952808 | + | 0.303573i | \(0.901820\pi\) | |||||||
\(24\) | −1.96897 | + | 1.05948i | −0.401915 | + | 0.216265i | ||||
\(25\) | −9.16994 | − | 5.29427i | −1.83399 | − | 1.05885i | ||||
\(26\) | 2.65246 | + | 0.495052i | 0.520191 | + | 0.0970878i | ||||
\(27\) | 3.00457 | − | 3.00457i | 0.578229 | − | 0.578229i | ||||
\(28\) | 1.90163 | − | 4.93800i | 0.359374 | − | 0.933194i | ||||
\(29\) | 5.30239 | + | 5.30239i | 0.984630 | + | 0.984630i | 0.999884 | − | 0.0152539i | \(-0.00485565\pi\) |
−0.0152539 | + | 0.999884i | \(0.504856\pi\) | |||||||
\(30\) | −3.64081 | + | 2.49553i | −0.664717 | + | 0.455619i | ||||
\(31\) | −2.07171 | + | 3.58830i | −0.372089 | + | 0.644478i | −0.989887 | − | 0.141860i | \(-0.954692\pi\) |
0.617797 | + | 0.786337i | \(0.288025\pi\) | |||||||
\(32\) | −0.773583 | + | 5.60371i | −0.136751 | + | 0.990605i | ||||
\(33\) | −3.08989 | + | 1.78395i | −0.537881 | + | 0.310546i | ||||
\(34\) | −0.124713 | − | 1.61050i | −0.0213882 | − | 0.276198i | ||||
\(35\) | 2.68915 | − | 10.0940i | 0.454550 | − | 1.70619i | ||||
\(36\) | −0.731298 | − | 4.69353i | −0.121883 | − | 0.782255i | ||||
\(37\) | 2.99943 | + | 0.803695i | 0.493103 | + | 0.132127i | 0.496797 | − | 0.867867i | \(-0.334509\pi\) |
−0.00369416 | + | 0.999993i | \(0.501176\pi\) | |||||||
\(38\) | 4.16470 | − | 1.46891i | 0.675603 | − | 0.238289i | ||||
\(39\) | 0.754139 | − | 1.30621i | 0.120759 | − | 0.209161i | ||||
\(40\) | −0.334398 | + | 11.1623i | −0.0528730 | + | 1.76491i | ||||
\(41\) | 8.08732 | 1.26303 | 0.631514 | − | 0.775365i | \(-0.282434\pi\) | ||||
0.631514 | + | 0.775365i | \(0.282434\pi\) | |||||||
\(42\) | −2.24951 | − | 1.92057i | −0.347107 | − | 0.296350i | ||||
\(43\) | −3.82205 | − | 3.82205i | −0.582858 | − | 0.582858i | 0.352830 | − | 0.935688i | \(-0.385220\pi\) |
−0.935688 | + | 0.352830i | \(0.885220\pi\) | |||||||
\(44\) | −0.966105 | + | 8.97489i | −0.145646 | + | 1.35302i | ||||
\(45\) | −2.42704 | − | 9.05785i | −0.361802 | − | 1.35026i | ||||
\(46\) | −1.25008 | + | 2.61239i | −0.184314 | + | 0.385176i | ||||
\(47\) | −0.814305 | − | 1.41042i | −0.118779 | − | 0.205731i | 0.800505 | − | 0.599326i | \(-0.204565\pi\) |
−0.919284 | + | 0.393595i | \(0.871231\pi\) | |||||||
\(48\) | 2.81018 | + | 1.44969i | 0.405614 | + | 0.209245i | ||||
\(49\) | 6.99997 | − | 0.0200886i | 0.999996 | − | 0.00286980i | ||||
\(50\) | 1.15613 | + | 14.9298i | 0.163501 | + | 2.11139i | ||||
\(51\) | −0.872167 | − | 0.233696i | −0.122128 | − | 0.0327240i | ||||
\(52\) | −1.54331 | − | 3.48991i | −0.214019 | − | 0.483963i | ||||
\(53\) | 0.783749 | + | 2.92499i | 0.107656 | + | 0.401779i | 0.998633 | − | 0.0522704i | \(-0.0166458\pi\) |
−0.890977 | + | 0.454049i | \(0.849979\pi\) | |||||||
\(54\) | −5.90713 | − | 1.10250i | −0.803858 | − | 0.150031i | ||||
\(55\) | 17.8198i | 2.40283i | ||||||||
\(56\) | −7.28061 | + | 1.72996i | −0.972912 | + | 0.231175i | ||||
\(57\) | − | 2.46854i | − | 0.326966i | ||||||
\(58\) | 1.94567 | − | 10.4248i | 0.255479 | − | 1.36884i | ||||
\(59\) | 1.86863 | + | 6.97383i | 0.243275 | + | 0.907915i | 0.974243 | + | 0.225503i | \(0.0724025\pi\) |
−0.730967 | + | 0.682412i | \(0.760931\pi\) | |||||||
\(60\) | 5.82205 | + | 2.25168i | 0.751623 | + | 0.290690i | ||||
\(61\) | 6.30611 | + | 1.68972i | 0.807414 | + | 0.216346i | 0.638837 | − | 0.769342i | \(-0.279416\pi\) |
0.168578 | + | 0.985688i | \(0.446083\pi\) | |||||||
\(62\) | 5.84218 | − | 0.452405i | 0.741958 | − | 0.0574555i | ||||
\(63\) | 5.43748 | − | 3.14974i | 0.685058 | − | 0.396830i | ||||
\(64\) | 7.15523 | − | 3.57809i | 0.894403 | − | 0.447261i | ||||
\(65\) | −3.76654 | − | 6.52383i | −0.467181 | − | 0.809182i | ||||
\(66\) | 4.55151 | + | 2.17798i | 0.560252 | + | 0.268091i | ||||
\(67\) | −0.165120 | − | 0.616236i | −0.0201726 | − | 0.0752852i | 0.955106 | − | 0.296265i | \(-0.0957412\pi\) |
−0.975278 | + | 0.220980i | \(0.929074\pi\) | |||||||
\(68\) | −1.77893 | + | 1.43316i | −0.215726 | + | 0.173796i | ||||
\(69\) | 1.14470 | + | 1.14470i | 0.137806 | + | 0.137806i | ||||
\(70\) | −13.9247 | + | 4.93379i | −1.66432 | + | 0.589701i | ||||
\(71\) | −2.40482 | −0.285400 | −0.142700 | − | 0.989766i | \(-0.545578\pi\) | ||||
−0.142700 | + | 0.989766i | \(0.545578\pi\) | |||||||
\(72\) | −4.89027 | + | 4.60579i | −0.576324 | + | 0.542798i | ||||
\(73\) | −1.47966 | + | 2.56284i | −0.173181 | + | 0.299958i | −0.939530 | − | 0.342466i | \(-0.888738\pi\) |
0.766349 | + | 0.642424i | \(0.222071\pi\) | |||||||
\(74\) | −1.46070 | − | 4.14142i | −0.169803 | − | 0.481430i | ||||
\(75\) | 8.08521 | + | 2.16643i | 0.933600 | + | 0.250157i | ||||
\(76\) | −5.04338 | − | 3.68363i | −0.578515 | − | 0.422541i | ||||
\(77\) | −11.5299 | + | 3.10717i | −1.31396 | + | 0.354095i | ||||
\(78\) | −2.12666 | + | 0.164684i | −0.240797 | + | 0.0186468i | ||||
\(79\) | −1.06303 | + | 0.613742i | −0.119601 | + | 0.0690514i | −0.558607 | − | 0.829433i | \(-0.688664\pi\) |
0.439006 | + | 0.898484i | \(0.355331\pi\) | |||||||
\(80\) | 13.2881 | − | 8.53478i | 1.48566 | − | 0.954217i | ||||
\(81\) | 1.88313 | − | 3.26167i | 0.209236 | − | 0.362408i | ||||
\(82\) | −6.46626 | − | 9.43383i | −0.714078 | − | 1.04179i | ||||
\(83\) | 2.29910 | + | 2.29910i | 0.252359 | + | 0.252359i | 0.821937 | − | 0.569578i | \(-0.192893\pi\) |
−0.569578 | + | 0.821937i | \(0.692893\pi\) | |||||||
\(84\) | −0.441729 | + | 4.15964i | −0.0481966 | + | 0.453854i | ||||
\(85\) | −3.18883 | + | 3.18883i | −0.345877 | + | 0.345877i | ||||
\(86\) | −1.40247 | + | 7.51435i | −0.151232 | + | 0.810293i | ||||
\(87\) | −5.13369 | − | 2.96394i | −0.550389 | − | 0.317767i | ||||
\(88\) | 11.2416 | − | 6.04896i | 1.19836 | − | 0.644821i | ||||
\(89\) | −4.36654 | − | 7.56307i | −0.462852 | − | 0.801684i | 0.536249 | − | 0.844060i | \(-0.319841\pi\) |
−0.999102 | + | 0.0423758i | \(0.986507\pi\) | |||||||
\(90\) | −8.62539 | + | 10.0734i | −0.909196 | + | 1.06183i | ||||
\(91\) | 3.56434 | − | 3.57459i | 0.373645 | − | 0.374719i | ||||
\(92\) | 4.04685 | − | 0.630538i | 0.421913 | − | 0.0657381i | ||||
\(93\) | 0.847747 | − | 3.16383i | 0.0879073 | − | 0.328074i | ||||
\(94\) | −0.994165 | + | 2.07759i | −0.102540 | + | 0.214287i | ||||
\(95\) | −10.6773 | − | 6.16455i | −1.09547 | − | 0.632470i | ||||
\(96\) | −0.555832 | − | 4.43717i | −0.0567293 | − | 0.452866i | ||||
\(97\) | − | 8.42967i | − | 0.855903i | −0.903802 | − | 0.427952i | \(-0.859235\pi\) | ||
0.903802 | − | 0.427952i | \(-0.140765\pi\) | |||||||
\(98\) | −5.62029 | − | 8.14938i | −0.567735 | − | 0.823211i | ||||
\(99\) | −7.57992 | + | 7.57992i | −0.761810 | + | 0.761810i | ||||
\(100\) | 16.4911 | − | 13.2858i | 1.64911 | − | 1.32858i | ||||
\(101\) | −14.2323 | + | 3.81352i | −1.41616 | + | 0.379460i | −0.884121 | − | 0.467258i | \(-0.845242\pi\) |
−0.532042 | + | 0.846718i | \(0.678575\pi\) | |||||||
\(102\) | 0.424739 | + | 1.20423i | 0.0420554 | + | 0.119237i | ||||
\(103\) | 6.87358 | − | 3.96846i | 0.677274 | − | 0.391024i | −0.121553 | − | 0.992585i | \(-0.538787\pi\) |
0.798827 | + | 0.601561i | \(0.205454\pi\) | |||||||
\(104\) | −2.83700 | + | 4.59064i | −0.278191 | + | 0.450149i | ||||
\(105\) | 0.0118491 | + | 8.25777i | 0.00115635 | + | 0.805876i | ||||
\(106\) | 2.78534 | − | 3.25293i | 0.270536 | − | 0.315953i | ||||
\(107\) | −2.40287 | + | 8.96762i | −0.232294 | + | 0.866932i | 0.747056 | + | 0.664761i | \(0.231467\pi\) |
−0.979350 | + | 0.202172i | \(0.935200\pi\) | |||||||
\(108\) | 3.43701 | + | 7.77215i | 0.330726 | + | 0.747875i | ||||
\(109\) | −0.849736 | + | 0.227686i | −0.0813900 | + | 0.0218084i | −0.299284 | − | 0.954164i | \(-0.596748\pi\) |
0.217894 | + | 0.975972i | \(0.430081\pi\) | |||||||
\(110\) | 20.7868 | − | 14.2479i | 1.98194 | − | 1.35849i | ||||
\(111\) | −2.45475 | −0.232994 | ||||||||
\(112\) | 7.83923 | + | 7.10960i | 0.740738 | + | 0.671794i | ||||
\(113\) | 1.91230 | 0.179894 | 0.0899469 | − | 0.995947i | \(-0.471330\pi\) | ||||
0.0899469 | + | 0.995947i | \(0.471330\pi\) | |||||||
\(114\) | −2.87954 | + | 1.97373i | −0.269694 | + | 0.184857i | ||||
\(115\) | 7.80983 | − | 2.09264i | 0.728271 | − | 0.195140i | ||||
\(116\) | −13.7161 | + | 6.06556i | −1.27351 | + | 0.563173i | ||||
\(117\) | 1.17285 | − | 4.37715i | 0.108430 | − | 0.404668i | ||||
\(118\) | 6.64087 | − | 7.75571i | 0.611342 | − | 0.713971i | ||||
\(119\) | −2.61928 | − | 1.50724i | −0.240109 | − | 0.138168i | ||||
\(120\) | −2.02847 | − | 8.59173i | −0.185174 | − | 0.784314i | ||||
\(121\) | 8.11511 | − | 4.68526i | 0.737737 | − | 0.425933i | ||||
\(122\) | −3.07103 | − | 8.70707i | −0.278038 | − | 0.788301i | ||||
\(123\) | −6.17533 | + | 1.65468i | −0.556811 | + | 0.149197i | ||||
\(124\) | −5.19887 | − | 6.45316i | −0.466872 | − | 0.579511i | ||||
\(125\) | 15.6022 | − | 15.6022i | 1.39550 | − | 1.39550i | ||||
\(126\) | −8.02172 | − | 3.82441i | −0.714632 | − | 0.340705i | ||||
\(127\) | 11.9607i | 1.06134i | 0.847578 | + | 0.530671i | \(0.178060\pi\) | ||||
−0.847578 | + | 0.530671i | \(0.821940\pi\) | |||||||
\(128\) | −9.89482 | − | 5.48566i | −0.874587 | − | 0.484869i | ||||
\(129\) | 3.70045 | + | 2.13645i | 0.325806 | + | 0.188104i | ||||
\(130\) | −4.59847 | + | 9.60981i | −0.403313 | + | 0.842836i | ||||
\(131\) | −1.43700 | + | 5.36296i | −0.125551 | + | 0.468564i | −0.999859 | − | 0.0168089i | \(-0.994649\pi\) |
0.874307 | + | 0.485372i | \(0.161316\pi\) | |||||||
\(132\) | −1.09857 | − | 7.05073i | −0.0956185 | − | 0.613687i | ||||
\(133\) | 2.12687 | − | 7.98340i | 0.184423 | − | 0.692249i | ||||
\(134\) | −0.586814 | + | 0.685325i | −0.0506930 | + | 0.0592031i | ||||
\(135\) | 8.38821 | + | 14.5288i | 0.721943 | + | 1.25044i | ||||
\(136\) | 3.09412 | + | 0.929220i | 0.265319 | + | 0.0796800i | ||||
\(137\) | 12.4195 | + | 7.17038i | 1.06107 | + | 0.612607i | 0.925727 | − | 0.378192i | \(-0.123454\pi\) |
0.135339 | + | 0.990799i | \(0.456788\pi\) | |||||||
\(138\) | 0.420038 | − | 2.25054i | 0.0357560 | − | 0.191579i | ||||
\(139\) | −14.6088 | + | 14.6088i | −1.23910 | + | 1.23910i | −0.278731 | + | 0.960369i | \(0.589914\pi\) |
−0.960369 | + | 0.278731i | \(0.910086\pi\) | |||||||
\(140\) | 16.8888 | + | 12.2983i | 1.42736 | + | 1.03939i | ||||
\(141\) | 0.910361 | + | 0.910361i | 0.0766663 | + | 0.0766663i | ||||
\(142\) | 1.92279 | + | 2.80521i | 0.161357 | + | 0.235408i | ||||
\(143\) | −4.30567 | + | 7.45764i | −0.360058 | + | 0.623639i | ||||
\(144\) | 9.28268 | + | 2.02190i | 0.773556 | + | 0.168492i | ||||
\(145\) | −25.6401 | + | 14.8033i | −2.12930 | + | 1.22935i | ||||
\(146\) | 4.17262 | − | 0.323118i | 0.345328 | − | 0.0267414i | ||||
\(147\) | −5.34094 | + | 1.44754i | −0.440513 | + | 0.119391i | ||||
\(148\) | −3.66304 | + | 5.01519i | −0.301100 | + | 0.412246i | ||||
\(149\) | 11.3862 | + | 3.05093i | 0.932797 | + | 0.249942i | 0.693047 | − | 0.720892i | \(-0.256268\pi\) |
0.239750 | + | 0.970835i | \(0.422934\pi\) | |||||||
\(150\) | −3.93744 | − | 11.1635i | −0.321491 | − | 0.911500i | ||||
\(151\) | 6.85381 | − | 11.8712i | 0.557755 | − | 0.966061i | −0.439928 | − | 0.898033i | \(-0.644996\pi\) |
0.997683 | − | 0.0680276i | \(-0.0216706\pi\) | |||||||
\(152\) | −0.264478 | + | 8.82834i | −0.0214520 | + | 0.716073i | ||||
\(153\) | −2.71283 | −0.219319 | ||||||||
\(154\) | 12.8433 | + | 10.9653i | 1.03494 | + | 0.883605i | ||||
\(155\) | −11.5677 | − | 11.5677i | −0.929138 | − | 0.929138i | ||||
\(156\) | 1.89248 | + | 2.34907i | 0.151520 | + | 0.188076i | ||||
\(157\) | 0.539359 | + | 2.01291i | 0.0430455 | + | 0.160648i | 0.984103 | − | 0.177599i | \(-0.0568329\pi\) |
−0.941058 | + | 0.338247i | \(0.890166\pi\) | |||||||
\(158\) | 1.56588 | + | 0.749303i | 0.124575 | + | 0.0596113i | ||||
\(159\) | −1.19691 | − | 2.07311i | −0.0949214 | − | 0.164409i | ||||
\(160\) | −20.5804 | − | 8.67652i | −1.62702 | − | 0.685939i | ||||
\(161\) | 2.71576 | + | 4.68829i | 0.214032 | + | 0.369489i | ||||
\(162\) | −5.31039 | + | 0.411225i | −0.417224 | + | 0.0323089i | ||||
\(163\) | −1.74222 | − | 0.466826i | −0.136461 | − | 0.0365647i | 0.189942 | − | 0.981795i | \(-0.439170\pi\) |
−0.326403 | + | 0.945231i | \(0.605837\pi\) | |||||||
\(164\) | −5.83440 | + | 15.0857i | −0.455590 | + | 1.17800i | ||||
\(165\) | −3.64596 | − | 13.6069i | −0.283837 | − | 1.05930i | ||||
\(166\) | 0.843635 | − | 4.52015i | 0.0654788 | − | 0.350831i | ||||
\(167\) | − | 21.6002i | − | 1.67147i | −0.549132 | − | 0.835735i | \(-0.685042\pi\) | ||
0.549132 | − | 0.835735i | \(-0.314958\pi\) | |||||||
\(168\) | 5.20539 | − | 2.81058i | 0.401604 | − | 0.216841i | ||||
\(169\) | 9.35968i | 0.719976i | ||||||||
\(170\) | 6.26940 | + | 1.17011i | 0.480841 | + | 0.0897437i | ||||
\(171\) | −1.91957 | − | 7.16393i | −0.146793 | − | 0.547839i | ||||
\(172\) | 9.88681 | − | 4.37216i | 0.753862 | − | 0.333374i | ||||
\(173\) | −8.48775 | − | 2.27429i | −0.645312 | − | 0.172911i | −0.0787035 | − | 0.996898i | \(-0.525078\pi\) |
−0.566608 | + | 0.823987i | \(0.691745\pi\) | |||||||
\(174\) | 0.647244 | + | 8.35825i | 0.0490674 | + | 0.633637i | ||||
\(175\) | 24.2815 | + | 13.9725i | 1.83551 | + | 1.05622i | ||||
\(176\) | −16.0444 | − | 8.27684i | −1.20939 | − | 0.623890i | ||||
\(177\) | −2.85371 | − | 4.94277i | −0.214498 | − | 0.371521i | ||||
\(178\) | −5.33100 | + | 11.1406i | −0.399575 | + | 0.835026i | ||||
\(179\) | 0.452081 | + | 1.68719i | 0.0337901 | + | 0.126106i | 0.980761 | − | 0.195214i | \(-0.0625401\pi\) |
−0.946971 | + | 0.321320i | \(0.895873\pi\) | |||||||
\(180\) | 18.6470 | + | 2.00726i | 1.38987 | + | 0.149613i | ||||
\(181\) | −5.29547 | − | 5.29547i | −0.393609 | − | 0.393609i | 0.482362 | − | 0.875972i | \(-0.339779\pi\) |
−0.875972 | + | 0.482362i | \(0.839779\pi\) | |||||||
\(182\) | −7.01963 | − | 1.29971i | −0.520329 | − | 0.0963413i | ||||
\(183\) | −5.16095 | −0.381508 | ||||||||
\(184\) | −3.97119 | − | 4.21648i | −0.292760 | − | 0.310843i | ||||
\(185\) | −6.13010 | + | 10.6176i | −0.450694 | + | 0.780625i | ||||
\(186\) | −4.36842 | + | 1.54076i | −0.320308 | + | 0.112974i | ||||
\(187\) | 4.97953 | + | 1.33426i | 0.364140 | + | 0.0975709i | ||||
\(188\) | 3.21839 | − | 0.501456i | 0.234725 | − | 0.0365725i | ||||
\(189\) | −7.93792 | + | 7.96073i | −0.577399 | + | 0.579058i | ||||
\(190\) | 1.34617 | + | 17.3839i | 0.0976617 | + | 1.26116i | ||||
\(191\) | 23.5567 | − | 13.6004i | 1.70450 | − | 0.984093i | 0.763423 | − | 0.645899i | \(-0.223517\pi\) |
0.941076 | − | 0.338195i | \(-0.109816\pi\) | |||||||
\(192\) | −4.73152 | + | 4.19613i | −0.341468 | + | 0.302830i | ||||
\(193\) | −2.88165 | + | 4.99117i | −0.207426 | + | 0.359272i | −0.950903 | − | 0.309489i | \(-0.899842\pi\) |
0.743477 | + | 0.668762i | \(0.233175\pi\) | |||||||
\(194\) | −9.83318 | + | 6.73998i | −0.705981 | + | 0.483902i | ||||
\(195\) | 4.21084 | + | 4.21084i | 0.301545 | + | 0.301545i | ||||
\(196\) | −5.01248 | + | 13.0719i | −0.358034 | + | 0.933708i | ||||
\(197\) | 12.7740 | − | 12.7740i | 0.910107 | − | 0.910107i | −0.0861731 | − | 0.996280i | \(-0.527464\pi\) |
0.996280 | + | 0.0861731i | \(0.0274638\pi\) | |||||||
\(198\) | 14.9025 | + | 2.78139i | 1.05907 | + | 0.197664i | ||||
\(199\) | −4.76949 | − | 2.75367i | −0.338100 | − | 0.195202i | 0.321331 | − | 0.946967i | \(-0.395870\pi\) |
−0.659432 | + | 0.751764i | \(0.729203\pi\) | |||||||
\(200\) | −28.6833 | − | 8.61412i | −2.02822 | − | 0.609110i | ||||
\(201\) | 0.252165 | + | 0.436763i | 0.0177863 | + | 0.0308069i | ||||
\(202\) | 15.8279 | + | 13.5528i | 1.11365 | + | 0.953569i | ||||
\(203\) | −14.0489 | − | 14.0087i | −0.986042 | − | 0.983216i | ||||
\(204\) | 1.06513 | − | 1.45831i | 0.0745740 | − | 0.102102i | ||||
\(205\) | −8.26425 | + | 30.8426i | −0.577201 | + | 2.15414i | ||||
\(206\) | −10.1250 | − | 4.84500i | −0.705442 | − | 0.337567i | ||||
\(207\) | 4.21216 | + | 2.43189i | 0.292765 | + | 0.169028i | ||||
\(208\) | 7.62330 | − | 0.361115i | 0.528581 | − | 0.0250388i | ||||
\(209\) | 14.0939i | 0.974893i | ||||||||
\(210\) | 9.62319 | − | 6.61636i | 0.664063 | − | 0.456572i | ||||
\(211\) | 19.3846 | − | 19.3846i | 1.33449 | − | 1.33449i | 0.433192 | − | 0.901302i | \(-0.357387\pi\) |
0.901302 | − | 0.433192i | \(-0.142613\pi\) | |||||||
\(212\) | −6.02156 | − | 0.648193i | −0.413563 | − | 0.0445181i | ||||
\(213\) | 1.83628 | − | 0.492029i | 0.125820 | − | 0.0337133i | ||||
\(214\) | 12.3819 | − | 4.36717i | 0.846410 | − | 0.298533i | ||||
\(215\) | 18.4818 | − | 10.6705i | 1.26045 | − | 0.727722i | ||||
\(216\) | 6.31810 | − | 10.2235i | 0.429892 | − | 0.695622i | ||||
\(217\) | 5.46759 | − | 9.50161i | 0.371164 | − | 0.645011i | ||||
\(218\) | 0.945005 | + | 0.809166i | 0.0640038 | + | 0.0548036i | ||||
\(219\) | 0.605480 | − | 2.25968i | 0.0409145 | − | 0.152695i | ||||
\(220\) | −33.2403 | − | 12.8557i | −2.24106 | − | 0.866730i | ||||
\(221\) | −2.10503 | + | 0.564040i | −0.141599 | + | 0.0379414i | ||||
\(222\) | 1.96270 | + | 2.86345i | 0.131728 | + | 0.192182i | ||||
\(223\) | −22.1379 | −1.48247 | −0.741233 | − | 0.671248i | \(-0.765759\pi\) | ||||
−0.741233 | + | 0.671248i | \(0.765759\pi\) | |||||||
\(224\) | 2.02543 | − | 14.8289i | 0.135330 | − | 0.990801i | ||||
\(225\) | 25.1486 | 1.67658 | ||||||||
\(226\) | −1.52899 | − | 2.23069i | −0.101707 | − | 0.148383i | ||||
\(227\) | 8.31664 | − | 2.22844i | 0.551995 | − | 0.147907i | 0.0279688 | − | 0.999609i | \(-0.491096\pi\) |
0.524026 | + | 0.851702i | \(0.324429\pi\) | |||||||
\(228\) | 4.60471 | + | 1.78087i | 0.304954 | + | 0.117941i | ||||
\(229\) | 6.55130 | − | 24.4498i | 0.432922 | − | 1.61569i | −0.313067 | − | 0.949731i | \(-0.601357\pi\) |
0.745990 | − | 0.665957i | \(-0.231977\pi\) | |||||||
\(230\) | −8.68544 | − | 7.43696i | −0.572701 | − | 0.490379i | ||||
\(231\) | 8.16831 | − | 4.73162i | 0.537435 | − | 0.311317i | ||||
\(232\) | 18.0422 | + | 11.1501i | 1.18453 | + | 0.732037i | ||||
\(233\) | 13.4837 | − | 7.78481i | 0.883346 | − | 0.510000i | 0.0115857 | − | 0.999933i | \(-0.496312\pi\) |
0.871760 | + | 0.489933i | \(0.162979\pi\) | |||||||
\(234\) | −6.04369 | + | 2.13164i | −0.395089 | + | 0.139350i | ||||
\(235\) | 6.21103 | − | 1.66424i | 0.405163 | − | 0.108563i | ||||
\(236\) | −14.3567 | − | 1.54544i | −0.934544 | − | 0.100599i | ||||
\(237\) | 0.686140 | − | 0.686140i | 0.0445696 | − | 0.0445696i | ||||
\(238\) | 0.336074 | + | 4.26050i | 0.0217845 | + | 0.276167i | ||||
\(239\) | − | 11.6230i | − | 0.751832i | −0.926654 | − | 0.375916i | \(-0.877328\pi\) | ||
0.926654 | − | 0.375916i | \(-0.122672\pi\) | |||||||
\(240\) | −8.40034 | + | 9.23576i | −0.542240 | + | 0.596166i | ||||
\(241\) | 2.43625 | + | 1.40657i | 0.156933 | + | 0.0906051i | 0.576410 | − | 0.817161i | \(-0.304453\pi\) |
−0.419477 | + | 0.907766i | \(0.637787\pi\) | |||||||
\(242\) | −11.9538 | − | 5.72012i | −0.768420 | − | 0.367703i | ||||
\(243\) | −4.06982 | + | 15.1888i | −0.261079 | + | 0.974361i | ||||
\(244\) | −7.70131 | + | 10.5441i | −0.493026 | + | 0.675018i | ||||
\(245\) | −7.07650 | + | 26.7163i | −0.452101 | + | 1.70684i | ||||
\(246\) | 6.86769 | + | 5.88050i | 0.437868 | + | 0.374927i | ||||
\(247\) | −2.97899 | − | 5.15975i | −0.189548 | − | 0.328307i | ||||
\(248\) | −3.37080 | + | 11.2241i | −0.214046 | + | 0.712732i | ||||
\(249\) | −2.22595 | − | 1.28515i | −0.141064 | − | 0.0814432i | ||||
\(250\) | −30.6747 | − | 5.72509i | −1.94004 | − | 0.362087i | ||||
\(251\) | 1.99507 | − | 1.99507i | 0.125928 | − | 0.125928i | −0.641334 | − | 0.767262i | \(-0.721619\pi\) |
0.767262 | + | 0.641334i | \(0.221619\pi\) | |||||||
\(252\) | 1.95265 | + | 12.4151i | 0.123005 | + | 0.782080i | ||||
\(253\) | −6.53554 | − | 6.53554i | −0.410886 | − | 0.410886i | ||||
\(254\) | 13.9521 | − | 9.56324i | 0.875434 | − | 0.600051i | ||||
\(255\) | 1.78250 | − | 3.08737i | 0.111624 | − | 0.193339i | ||||
\(256\) | 1.51245 | + | 15.9284i | 0.0945278 | + | 0.995522i | ||||
\(257\) | 12.9550 | − | 7.47955i | 0.808108 | − | 0.466561i | −0.0381904 | − | 0.999270i | \(-0.512159\pi\) |
0.846298 | + | 0.532709i | \(0.178826\pi\) | |||||||
\(258\) | −0.466544 | − | 6.02477i | −0.0290458 | − | 0.375086i | ||||
\(259\) | −7.93879 | − | 2.11499i | −0.493292 | − | 0.131419i | ||||
\(260\) | 14.8865 | − | 2.31947i | 0.923224 | − | 0.143847i | ||||
\(261\) | −17.2032 | − | 4.60958i | −1.06485 | − | 0.285326i | ||||
\(262\) | 7.40482 | − | 2.61172i | 0.457472 | − | 0.161353i | ||||
\(263\) | −7.39409 | + | 12.8069i | −0.455939 | + | 0.789710i | −0.998742 | − | 0.0501505i | \(-0.984030\pi\) |
0.542802 | + | 0.839860i | \(0.317363\pi\) | |||||||
\(264\) | −7.34628 | + | 6.91892i | −0.452132 | + | 0.425830i | ||||
\(265\) | −11.9559 | −0.734447 | ||||||||
\(266\) | −11.0132 | + | 3.90218i | −0.675260 | + | 0.239258i | ||||
\(267\) | 4.88162 | + | 4.88162i | 0.298750 | + | 0.298750i | ||||
\(268\) | 1.26862 | + | 0.136561i | 0.0774932 | + | 0.00834178i | ||||
\(269\) | −6.20182 | − | 23.1455i | −0.378132 | − | 1.41121i | −0.848715 | − | 0.528851i | \(-0.822623\pi\) |
0.470583 | − | 0.882356i | \(-0.344044\pi\) | |||||||
\(270\) | 10.2410 | − | 21.4014i | 0.623245 | − | 1.30245i | ||||
\(271\) | −7.37718 | − | 12.7776i | −0.448131 | − | 0.776186i | 0.550133 | − | 0.835077i | \(-0.314577\pi\) |
−0.998264 | + | 0.0588906i | \(0.981244\pi\) | |||||||
\(272\) | −1.38999 | − | 4.35224i | −0.0842805 | − | 0.263894i | ||||
\(273\) | −1.99030 | + | 3.45876i | −0.120459 | + | 0.209334i | ||||
\(274\) | −1.56582 | − | 20.2204i | −0.0945946 | − | 1.22156i | ||||
\(275\) | −46.1616 | − | 12.3690i | −2.78365 | − | 0.745877i | ||||
\(276\) | −2.96109 | + | 1.30946i | −0.178237 | + | 0.0788200i | ||||
\(277\) | 4.76091 | + | 17.7680i | 0.286055 | + | 1.06757i | 0.948065 | + | 0.318077i | \(0.103037\pi\) |
−0.662009 | + | 0.749496i | \(0.730296\pi\) | |||||||
\(278\) | 28.7216 | + | 5.36056i | 1.72261 | + | 0.321505i | ||||
\(279\) | − | 9.84094i | − | 0.589162i | ||||||
\(280\) | 0.842357 | − | 29.5339i | 0.0503404 | − | 1.76499i | ||||
\(281\) | 31.9694i | 1.90713i | 0.301185 | + | 0.953566i | \(0.402618\pi\) | ||||
−0.301185 | + | 0.953566i | \(0.597382\pi\) | |||||||
\(282\) | 0.334049 | − | 1.78982i | 0.0198923 | − | 0.106582i | ||||
\(283\) | −0.851136 | − | 3.17648i | −0.0505948 | − | 0.188822i | 0.936003 | − | 0.351991i | \(-0.114495\pi\) |
−0.986598 | + | 0.163169i | \(0.947829\pi\) | |||||||
\(284\) | 1.73490 | − | 4.48584i | 0.102947 | − | 0.266186i | ||||
\(285\) | 9.41428 | + | 2.52255i | 0.557654 | + | 0.149423i | ||||
\(286\) | 12.1419 | − | 0.940243i | 0.717967 | − | 0.0555977i | ||||
\(287\) | −21.3970 | + | 0.0307026i | −1.26303 | + | 0.00181232i | ||||
\(288\) | −5.06347 | − | 12.4448i | −0.298368 | − | 0.733318i | ||||
\(289\) | −7.84768 | − | 13.5926i | −0.461628 | − | 0.799564i | ||||
\(290\) | 37.7687 | + | 18.0730i | 2.21786 | + | 1.06129i | ||||
\(291\) | 1.72472 | + | 6.43674i | 0.101105 | + | 0.377329i | ||||
\(292\) | −3.71315 | − | 4.60899i | −0.217296 | − | 0.269721i | ||||
\(293\) | −6.98254 | − | 6.98254i | −0.407925 | − | 0.407925i | 0.473090 | − | 0.881014i | \(-0.343139\pi\) |
−0.881014 | + | 0.473090i | \(0.843139\pi\) | |||||||
\(294\) | 5.95892 | + | 5.07280i | 0.347531 | + | 0.295851i | ||||
\(295\) | −28.5056 | −1.65966 | ||||||||
\(296\) | 8.77900 | + | 0.263000i | 0.510269 | + | 0.0152866i | ||||
\(297\) | 9.58888 | − | 16.6084i | 0.556403 | − | 0.963719i | ||||
\(298\) | −5.54502 | − | 15.7214i | −0.321214 | − | 0.910716i | ||||
\(299\) | 3.77406 | + | 1.01126i | 0.218259 | + | 0.0584824i | ||||
\(300\) | −9.87403 | + | 13.5189i | −0.570077 | + | 0.780513i | ||||
\(301\) | 10.1267 | + | 10.0977i | 0.583694 | + | 0.582021i | ||||
\(302\) | −19.3276 | + | 1.49669i | −1.11218 | + | 0.0861248i | ||||
\(303\) | 10.0872 | − | 5.82388i | 0.579497 | − | 0.334573i | ||||
\(304\) | 10.5097 | − | 6.75023i | 0.602772 | − | 0.387152i | ||||
\(305\) | −12.8881 | + | 22.3229i | −0.737973 | + | 1.27821i | ||||
\(306\) | 2.16905 | + | 3.16450i | 0.123997 | + | 0.180903i | ||||
\(307\) | 23.3885 | + | 23.3885i | 1.33485 | + | 1.33485i | 0.900967 | + | 0.433888i | \(0.142859\pi\) |
0.433888 | + | 0.900967i | \(0.357141\pi\) | |||||||
\(308\) | 2.52200 | − | 23.7490i | 0.143704 | − | 1.35322i | ||||
\(309\) | −4.43659 | + | 4.43659i | −0.252389 | + | 0.252389i | ||||
\(310\) | −4.24466 | + | 22.7426i | −0.241080 | + | 1.29169i | ||||
\(311\) | 21.8118 | + | 12.5931i | 1.23684 | + | 0.714087i | 0.968446 | − | 0.249223i | \(-0.0801752\pi\) |
0.268390 | + | 0.963310i | \(0.413509\pi\) | |||||||
\(312\) | 1.22703 | − | 4.08578i | 0.0694670 | − | 0.231312i | ||||
\(313\) | −4.22602 | − | 7.31969i | −0.238869 | − | 0.413733i | 0.721521 | − | 0.692393i | \(-0.243443\pi\) |
−0.960390 | + | 0.278659i | \(0.910110\pi\) | |||||||
\(314\) | 1.91681 | − | 2.23859i | 0.108172 | − | 0.126331i | ||||
\(315\) | 6.45573 | + | 23.9556i | 0.363739 | + | 1.34974i | ||||
\(316\) | −0.377948 | − | 2.42570i | −0.0212612 | − | 0.136456i | ||||
\(317\) | −4.95323 | + | 18.4857i | −0.278201 | + | 1.03826i | 0.675464 | + | 0.737393i | \(0.263943\pi\) |
−0.953666 | + | 0.300868i | \(0.902724\pi\) | |||||||
\(318\) | −1.46128 | + | 3.05376i | −0.0819446 | + | 0.171246i | ||||
\(319\) | 29.3102 | + | 16.9222i | 1.64106 | + | 0.947464i | ||||
\(320\) | 6.33400 | + | 30.9443i | 0.354081 | + | 1.72984i | ||||
\(321\) | − | 7.33914i | − | 0.409631i | ||||||
\(322\) | 3.29747 | − | 6.91647i | 0.183761 | − | 0.385440i | ||||
\(323\) | −2.52207 | + | 2.52207i | −0.140332 | + | 0.140332i | ||||
\(324\) | 4.72564 | + | 5.86575i | 0.262535 | + | 0.325875i | ||||
\(325\) | 19.5141 | − | 5.22880i | 1.08245 | − | 0.290041i | ||||
\(326\) | 0.848448 | + | 2.40554i | 0.0469912 | + | 0.133231i | ||||
\(327\) | 0.602258 | − | 0.347714i | 0.0333050 | − | 0.0192286i | ||||
\(328\) | 22.2623 | − | 5.25606i | 1.22923 | − | 0.290217i | ||||
\(329\) | 2.15980 | + | 3.72852i | 0.119074 | + | 0.205560i | ||||
\(330\) | −12.9573 | + | 15.1325i | −0.713273 | + | 0.833014i | ||||
\(331\) | 3.74100 | − | 13.9616i | 0.205624 | − | 0.767399i | −0.783635 | − | 0.621222i | \(-0.786636\pi\) |
0.989258 | − | 0.146177i | \(-0.0466968\pi\) | |||||||
\(332\) | −5.94726 | + | 2.63001i | −0.326399 | + | 0.144340i | ||||
\(333\) | −7.12389 | + | 1.90884i | −0.390387 | + | 0.104604i | ||||
\(334\) | −25.1965 | + | 17.2705i | −1.37869 | + | 0.945000i | ||||
\(335\) | 2.51887 | 0.137621 | ||||||||
\(336\) | −7.44053 | − | 3.82485i | −0.405914 | − | 0.208663i | ||||
\(337\) | −13.7159 | −0.747152 | −0.373576 | − | 0.927600i | \(-0.621868\pi\) | ||||
−0.373576 | + | 0.927600i | \(0.621868\pi\) | |||||||
\(338\) | 10.9180 | − | 7.48358i | 0.593863 | − | 0.407053i | ||||
\(339\) | −1.46020 | + | 0.391258i | −0.0793069 | + | 0.0212502i | ||||
\(340\) | −3.64780 | − | 8.24880i | −0.197830 | − | 0.447354i | ||||
\(341\) | −4.84011 | + | 18.0635i | −0.262107 | + | 0.978196i | ||||
\(342\) | −6.82189 | + | 7.96712i | −0.368886 | + | 0.430812i | ||||
\(343\) | −18.5201 | + | 0.0797240i | −0.999991 | + | 0.00430469i | ||||
\(344\) | −13.0052 | − | 8.03715i | −0.701191 | − | 0.433334i | ||||
\(345\) | −5.53529 | + | 3.19580i | −0.298010 | + | 0.172056i | ||||
\(346\) | 4.13347 | + | 11.7193i | 0.222217 | + | 0.630036i | ||||
\(347\) | 9.07603 | − | 2.43191i | 0.487227 | − | 0.130552i | −0.00683892 | − | 0.999977i | \(-0.502177\pi\) |
0.494066 | + | 0.869425i | \(0.335510\pi\) | |||||||
\(348\) | 9.23236 | − | 7.43789i | 0.494906 | − | 0.398713i | ||||
\(349\) | 8.35069 | − | 8.35069i | 0.447002 | − | 0.447002i | −0.447355 | − | 0.894357i | \(-0.647634\pi\) |
0.894357 | + | 0.447355i | \(0.147634\pi\) | |||||||
\(350\) | −3.11550 | − | 39.4960i | −0.166530 | − | 2.11115i | ||||
\(351\) | 8.10712i | 0.432726i | ||||||||
\(352\) | 3.17346 | + | 25.3335i | 0.169146 | + | 1.35028i | ||||
\(353\) | 16.9374 | + | 9.77882i | 0.901488 | + | 0.520474i | 0.877683 | − | 0.479242i | \(-0.159089\pi\) |
0.0238051 | + | 0.999717i | \(0.492422\pi\) | |||||||
\(354\) | −3.48402 | + | 7.28085i | −0.185174 | + | 0.386973i | ||||
\(355\) | 2.45743 | − | 9.17127i | 0.130427 | − | 0.486760i | ||||
\(356\) | 17.2579 | − | 2.68895i | 0.914669 | − | 0.142514i | ||||
\(357\) | 2.30842 | + | 0.614991i | 0.122175 | + | 0.0325488i | ||||
\(358\) | 1.60663 | − | 1.87635i | 0.0849133 | − | 0.0991681i | ||||
\(359\) | 8.80385 | + | 15.2487i | 0.464650 | + | 0.804797i | 0.999186 | − | 0.0403489i | \(-0.0128469\pi\) |
−0.534536 | + | 0.845146i | \(0.679514\pi\) | |||||||
\(360\) | −12.5678 | − | 23.3566i | −0.662384 | − | 1.23100i | ||||
\(361\) | 8.00970 | + | 4.62440i | 0.421563 | + | 0.243390i | ||||
\(362\) | −1.94313 | + | 10.4112i | −0.102128 | + | 0.547199i | ||||
\(363\) | −5.23794 | + | 5.23794i | −0.274920 | + | 0.274920i | ||||
\(364\) | 4.09646 | + | 9.22756i | 0.214713 | + | 0.483656i | ||||
\(365\) | −8.26189 | − | 8.26189i | −0.432447 | − | 0.432447i | ||||
\(366\) | 4.12646 | + | 6.02022i | 0.215693 | + | 0.314682i | ||||
\(367\) | −16.4811 | + | 28.5462i | −0.860309 | + | 1.49010i | 0.0113220 | + | 0.999936i | \(0.496396\pi\) |
−0.871631 | + | 0.490163i | \(0.836937\pi\) | |||||||
\(368\) | −1.74332 | + | 8.00369i | −0.0908768 | + | 0.417221i | ||||
\(369\) | −16.6347 | + | 9.60402i | −0.865966 | + | 0.499966i | ||||
\(370\) | 17.2868 | − | 1.33865i | 0.898697 | − | 0.0695931i | ||||
\(371\) | −2.08471 | − | 7.73582i | −0.108233 | − | 0.401624i | ||||
\(372\) | 5.29009 | + | 3.86382i | 0.274278 | + | 0.200330i | ||||
\(373\) | −12.9747 | − | 3.47655i | −0.671802 | − | 0.180009i | −0.0932356 | − | 0.995644i | \(-0.529721\pi\) |
−0.578566 | + | 0.815635i | \(0.696388\pi\) | |||||||
\(374\) | −2.42500 | − | 6.87542i | −0.125394 | − | 0.355520i | ||||
\(375\) | −8.72133 | + | 15.1058i | −0.450368 | + | 0.780059i | ||||
\(376\) | −3.15822 | − | 3.35329i | −0.162873 | − | 0.172933i | ||||
\(377\) | −14.3073 | −0.736861 | ||||||||
\(378\) | 15.6330 | + | 2.89451i | 0.804073 | + | 0.148878i | ||||
\(379\) | 0.617225 | + | 0.617225i | 0.0317047 | + | 0.0317047i | 0.722781 | − | 0.691077i | \(-0.242863\pi\) |
−0.691077 | + | 0.722781i | \(0.742863\pi\) | |||||||
\(380\) | 19.2020 | − | 15.4697i | 0.985040 | − | 0.793580i | ||||
\(381\) | −2.44718 | − | 9.13298i | −0.125373 | − | 0.467897i | ||||
\(382\) | −34.6997 | − | 16.6044i | −1.77539 | − | 0.849557i | ||||
\(383\) | −0.214398 | − | 0.371348i | −0.0109552 | − | 0.0189750i | 0.860496 | − | 0.509457i | \(-0.170154\pi\) |
−0.871451 | + | 0.490483i | \(0.836821\pi\) | |||||||
\(384\) | 8.67788 | + | 2.16426i | 0.442841 | + | 0.110444i | ||||
\(385\) | −0.0676511 | − | 47.1468i | −0.00344782 | − | 2.40282i | ||||
\(386\) | 8.12622 | − | 0.629276i | 0.413614 | − | 0.0320293i | ||||
\(387\) | 12.4004 | + | 3.32267i | 0.630346 | + | 0.168901i | ||||
\(388\) | 15.7243 | + | 6.08138i | 0.798281 | + | 0.308735i | ||||
\(389\) | −2.70883 | − | 10.1095i | −0.137343 | − | 0.512571i | −0.999977 | − | 0.00674269i | \(-0.997854\pi\) |
0.862634 | − | 0.505828i | \(-0.168813\pi\) | |||||||
\(390\) | 1.54513 | − | 8.27873i | 0.0782408 | − | 0.419210i | ||||
\(391\) | − | 2.33905i | − | 0.118291i | ||||||
\(392\) | 19.2561 | − | 4.60467i | 0.972579 | − | 0.232571i | ||||
\(393\) | − | 4.38907i | − | 0.221399i | ||||||
\(394\) | −25.1143 | − | 4.68729i | −1.26524 | − | 0.236142i | ||||
\(395\) | −1.25434 | − | 4.68126i | −0.0631126 | − | 0.235540i | ||||
\(396\) | −8.67089 | − | 19.6076i | −0.435729 | − | 0.985318i | ||||
\(397\) | 26.9635 | + | 7.22485i | 1.35326 | + | 0.362605i | 0.861337 | − | 0.508034i | \(-0.169628\pi\) |
0.491922 | + | 0.870639i | \(0.336294\pi\) | |||||||
\(398\) | 0.601327 | + | 7.76530i | 0.0301418 | + | 0.389239i | ||||
\(399\) | 0.00937155 | + | 6.53114i | 0.000469165 | + | 0.326966i | ||||
\(400\) | 12.8856 | + | 40.3465i | 0.644278 | + | 2.01732i | ||||
\(401\) | −13.1880 | − | 22.8422i | −0.658575 | − | 1.14069i | −0.980985 | − | 0.194085i | \(-0.937826\pi\) |
0.322410 | − | 0.946600i | \(-0.395507\pi\) | |||||||
\(402\) | 0.307862 | − | 0.643365i | 0.0153548 | − | 0.0320881i | ||||
\(403\) | −2.04609 | − | 7.63610i | −0.101923 | − | 0.380381i | ||||
\(404\) | 3.15394 | − | 29.2994i | 0.156914 | − | 1.45770i | ||||
\(405\) | 10.5147 | + | 10.5147i | 0.522480 | + | 0.522480i | ||||
\(406\) | −5.10817 | + | 27.5887i | −0.253514 | + | 1.36920i | ||||
\(407\) | 14.0151 | 0.694702 | ||||||||
\(408\) | −2.55274 | − | 0.0764745i | −0.126379 | − | 0.00378605i | ||||
\(409\) | 8.91434 | − | 15.4401i | 0.440786 | − | 0.763463i | −0.556962 | − | 0.830538i | \(-0.688033\pi\) |
0.997748 | + | 0.0670744i | \(0.0213665\pi\) | |||||||
\(410\) | 42.5855 | − | 15.0201i | 2.10315 | − | 0.741792i | ||||
\(411\) | −10.9503 | − | 2.93414i | −0.540141 | − | 0.144730i | ||||
\(412\) | 2.44382 | + | 15.6846i | 0.120398 | + | 0.772725i | ||||
\(413\) | −4.97041 | − | 18.4439i | −0.244578 | − | 0.907565i | ||||
\(414\) | −0.531059 | − | 6.85789i | −0.0261001 | − | 0.337047i | ||||
\(415\) | −11.1175 | + | 6.41868i | −0.545735 | + | 0.315081i | ||||
\(416\) | −6.51648 | − | 8.60381i | −0.319497 | − | 0.421837i | ||||
\(417\) | 8.16602 | − | 14.1440i | 0.399892 | − | 0.692633i | ||||
\(418\) | 16.4404 | − | 11.2688i | 0.804128 | − | 0.551175i | ||||
\(419\) | −19.6171 | − | 19.6171i | −0.958358 | − | 0.958358i | 0.0408093 | − | 0.999167i | \(-0.487006\pi\) |
−0.999167 | + | 0.0408093i | \(0.987006\pi\) | |||||||
\(420\) | −15.4122 | − | 5.93526i | −0.752039 | − | 0.289611i | ||||
\(421\) | −5.25405 | + | 5.25405i | −0.256067 | + | 0.256067i | −0.823452 | − | 0.567385i | \(-0.807955\pi\) |
0.567385 | + | 0.823452i | \(0.307955\pi\) | |||||||
\(422\) | −38.1112 | − | 7.11303i | −1.85522 | − | 0.346257i | ||||
\(423\) | 3.34986 | + | 1.93404i | 0.162876 | + | 0.0940363i | ||||
\(424\) | 4.05845 | + | 7.54239i | 0.197096 | + | 0.366291i | ||||
\(425\) | −6.04714 | − | 10.4740i | −0.293329 | − | 0.508061i | ||||
\(426\) | −2.04215 | − | 1.74861i | −0.0989427 | − | 0.0847202i | ||||
\(427\) | −16.6908 | − | 4.44663i | −0.807724 | − | 0.215187i | ||||
\(428\) | −14.9943 | − | 10.9517i | −0.724777 | − | 0.529369i | ||||
\(429\) | 1.76189 | − | 6.57546i | 0.0850648 | − | 0.317466i | ||||
\(430\) | −27.2243 | − | 13.0273i | −1.31287 | − | 0.628234i | ||||
\(431\) | −23.2543 | − | 13.4259i | −1.12012 | − | 0.646701i | −0.178687 | − | 0.983906i | \(-0.557185\pi\) |
−0.941431 | + | 0.337205i | \(0.890518\pi\) | |||||||
\(432\) | −16.9774 | + | 0.804217i | −0.816823 | + | 0.0386929i | ||||
\(433\) | 18.6517i | 0.896344i | 0.893947 | + | 0.448172i | \(0.147925\pi\) | ||||
−0.893947 | + | 0.448172i | \(0.852075\pi\) | |||||||
\(434\) | −15.4552 | + | 1.21913i | −0.741874 | + | 0.0585201i | ||||
\(435\) | 16.5496 | − | 16.5496i | 0.793491 | − | 0.793491i | ||||
\(436\) | 0.188306 | − | 1.74932i | 0.00901821 | − | 0.0837771i | ||||
\(437\) | 6.17686 | − | 1.65509i | 0.295479 | − | 0.0791735i | ||||
\(438\) | −3.12002 | + | 1.10045i | −0.149080 | + | 0.0525815i | ||||
\(439\) | −17.5460 | + | 10.1302i | −0.837427 | + | 0.483488i | −0.856389 | − | 0.516332i | \(-0.827297\pi\) |
0.0189621 | + | 0.999820i | \(0.493964\pi\) | |||||||
\(440\) | 11.5813 | + | 49.0535i | 0.552119 | + | 2.33853i | ||||
\(441\) | −14.3742 | + | 8.35407i | −0.684488 | + | 0.397813i | ||||
\(442\) | 2.34103 | + | 2.00452i | 0.111352 | + | 0.0953454i | ||||
\(443\) | −9.15149 | + | 34.1538i | −0.434800 | + | 1.62270i | 0.306744 | + | 0.951792i | \(0.400761\pi\) |
−0.741544 | + | 0.670904i | \(0.765906\pi\) | |||||||
\(444\) | 1.77092 | − | 4.57897i | 0.0840440 | − | 0.217308i | ||||
\(445\) | 33.3053 | − | 8.92414i | 1.57882 | − | 0.423045i | ||||
\(446\) | 17.7005 | + | 25.8238i | 0.838142 | + | 1.22279i | ||||
\(447\) | −9.31855 | −0.440752 | ||||||||
\(448\) | −18.9173 | + | 9.49389i | −0.893761 | + | 0.448544i | ||||
\(449\) | 14.0702 | 0.664012 | 0.332006 | − | 0.943277i | \(-0.392275\pi\) | ||||
0.332006 | + | 0.943277i | \(0.392275\pi\) | |||||||
\(450\) | −20.1077 | − | 29.3358i | −0.947886 | − | 1.38290i | ||||
\(451\) | 35.2573 | − | 9.44718i | 1.66020 | − | 0.444850i | ||||
\(452\) | −1.37958 | + | 3.56711i | −0.0648899 | + | 0.167783i | ||||
\(453\) | −2.80460 | + | 10.4669i | −0.131771 | + | 0.491777i | ||||
\(454\) | −9.24907 | − | 7.91957i | −0.434080 | − | 0.371684i | ||||
\(455\) | 9.99008 | + | 17.2461i | 0.468342 | + | 0.808511i | ||||
\(456\) | −1.60434 | − | 6.79527i | −0.0751300 | − | 0.318218i | ||||
\(457\) | 4.61613 | − | 2.66512i | 0.215933 | − | 0.124669i | −0.388133 | − | 0.921604i | \(-0.626880\pi\) |
0.604066 | + | 0.796934i | \(0.293546\pi\) | |||||||
\(458\) | −33.7587 | + | 11.9069i | −1.57744 | + | 0.556372i | ||||
\(459\) | 4.68797 | − | 1.25614i | 0.218816 | − | 0.0586314i | ||||
\(460\) | −1.73070 | + | 16.0778i | −0.0806942 | + | 0.749631i | ||||
\(461\) | 2.32075 | − | 2.32075i | 0.108088 | − | 0.108088i | −0.650995 | − | 0.759082i | \(-0.725648\pi\) |
0.759082 | + | 0.650995i | \(0.225648\pi\) | |||||||
\(462\) | −12.0504 | − | 5.74511i | −0.560636 | − | 0.267287i | ||||
\(463\) | − | 15.2932i | − | 0.710736i | −0.934727 | − | 0.355368i | \(-0.884356\pi\) | ||
0.934727 | − | 0.355368i | \(-0.115644\pi\) | |||||||
\(464\) | −1.41926 | − | 29.9613i | −0.0658877 | − | 1.39092i | ||||
\(465\) | 11.1996 | + | 6.46610i | 0.519370 | + | 0.299858i | ||||
\(466\) | −19.8619 | − | 9.50429i | −0.920084 | − | 0.440278i | ||||
\(467\) | −7.77086 | + | 29.0012i | −0.359592 | + | 1.34202i | 0.515014 | + | 0.857182i | \(0.327787\pi\) |
−0.874606 | + | 0.484835i | \(0.838880\pi\) | |||||||
\(468\) | 7.31882 | + | 5.34558i | 0.338312 | + | 0.247099i | ||||
\(469\) | 0.439205 | + | 1.62978i | 0.0202806 | + | 0.0752561i | ||||
\(470\) | −6.90739 | − | 5.91449i | −0.318614 | − | 0.272815i | ||||
\(471\) | −0.823689 | − | 1.42667i | −0.0379536 | − | 0.0657375i | ||||
\(472\) | 9.67625 | + | 17.9827i | 0.445386 | + | 0.827723i | ||||
\(473\) | −21.1273 | − | 12.1978i | −0.971433 | − | 0.560857i | ||||
\(474\) | −1.34899 | − | 0.251773i | −0.0619610 | − | 0.0115643i | ||||
\(475\) | 23.3803 | − | 23.3803i | 1.07276 | − | 1.07276i | ||||
\(476\) | 4.70115 | − | 3.79853i | 0.215477 | − | 0.174106i | ||||
\(477\) | −5.08563 | − | 5.08563i | −0.232855 | − | 0.232855i | ||||
\(478\) | −13.5582 | + | 9.29326i | −0.620139 | + | 0.425064i | ||||
\(479\) | 17.2367 | − | 29.8548i | 0.787564 | − | 1.36410i | −0.139892 | − | 0.990167i | \(-0.544676\pi\) |
0.927456 | − | 0.373933i | \(-0.121991\pi\) | |||||||
\(480\) | 17.4900 | + | 2.41447i | 0.798306 | + | 0.110205i | ||||
\(481\) | −5.13092 | + | 2.96234i | −0.233950 | + | 0.135071i | ||||
\(482\) | −0.307157 | − | 3.96651i | −0.0139906 | − | 0.180669i | ||||
\(483\) | −3.03294 | − | 3.02425i | −0.138003 | − | 0.137608i | ||||
\(484\) | 2.88523 | + | 18.5176i | 0.131147 | + | 0.841710i | ||||
\(485\) | 32.1482 | + | 8.61409i | 1.45978 | + | 0.391146i | ||||
\(486\) | 20.9717 | − | 7.39683i | 0.951296 | − | 0.335527i | ||||
\(487\) | 7.45142 | − | 12.9062i | 0.337656 | − | 0.584837i | −0.646335 | − | 0.763053i | \(-0.723699\pi\) |
0.983991 | + | 0.178216i | \(0.0570326\pi\) | |||||||
\(488\) | 18.4573 | + | 0.552941i | 0.835522 | + | 0.0250305i | ||||
\(489\) | 1.42584 | 0.0644787 | ||||||||
\(490\) | 36.8225 | − | 13.1064i | 1.66347 | − | 0.592089i | ||||
\(491\) | 30.5248 | + | 30.5248i | 1.37756 | + | 1.37756i | 0.848719 | + | 0.528844i | \(0.177374\pi\) |
0.528844 | + | 0.848719i | \(0.322626\pi\) | |||||||
\(492\) | 1.36848 | − | 12.7129i | 0.0616961 | − | 0.573142i | ||||
\(493\) | 2.21680 | + | 8.27322i | 0.0998398 | + | 0.372607i | ||||
\(494\) | −3.63697 | + | 7.60048i | −0.163635 | + | 0.341962i | ||||
\(495\) | −21.1618 | − | 36.6533i | −0.951151 | − | 1.64744i | ||||
\(496\) | 15.7880 | − | 5.04226i | 0.708903 | − | 0.226404i | ||||
\(497\) | 6.36255 | − | 0.00912964i | 0.285399 | − | 0.000409520i | ||||
\(498\) | 0.280643 | + | 3.62411i | 0.0125759 | + | 0.162400i | ||||
\(499\) | −10.6899 | − | 2.86434i | −0.478544 | − | 0.128225i | 0.0114806 | − | 0.999934i | \(-0.496346\pi\) |
−0.490025 | + | 0.871709i | \(0.663012\pi\) | |||||||
\(500\) | 17.8478 | + | 40.3595i | 0.798178 | + | 1.80493i | ||||
\(501\) | 4.41942 | + | 16.4935i | 0.197445 | + | 0.736875i | ||||
\(502\) | −3.92241 | − | 0.732074i | −0.175066 | − | 0.0326741i | ||||
\(503\) | 25.6811i | 1.14507i | 0.819882 | + | 0.572533i | \(0.194039\pi\) | ||||
−0.819882 | + | 0.572533i | \(0.805961\pi\) | |||||||
\(504\) | 12.9209 | − | 12.2043i | 0.575545 | − | 0.543624i | ||||
\(505\) | − | 58.1745i | − | 2.58873i | ||||||
\(506\) | −2.39816 | + | 12.8492i | −0.106611 | + | 0.571216i | ||||
\(507\) | −1.91500 | − | 7.14688i | −0.0850482 | − | 0.317404i | ||||
\(508\) | −22.3110 | − | 8.62876i | −0.989889 | − | 0.382839i | ||||
\(509\) | 14.8346 | + | 3.97493i | 0.657534 | + | 0.176186i | 0.572133 | − | 0.820161i | \(-0.306116\pi\) |
0.0854009 | + | 0.996347i | \(0.472783\pi\) | |||||||
\(510\) | −5.02661 | + | 0.389249i | −0.222582 | + | 0.0172362i | ||||
\(511\) | 3.90508 | − | 6.78626i | 0.172750 | − | 0.300206i | ||||
\(512\) | 17.3711 | − | 14.4998i | 0.767700 | − | 0.640809i | ||||
\(513\) | 6.63431 | + | 11.4910i | 0.292912 | + | 0.507338i | ||||
\(514\) | −19.0831 | − | 9.13160i | −0.841718 | − | 0.402777i | ||||
\(515\) | 8.11057 | + | 30.2691i | 0.357394 | + | 1.33381i | ||||
\(516\) | −6.65484 | + | 5.36135i | −0.292963 | + | 0.236020i | ||||
\(517\) | −5.19760 | − | 5.19760i | −0.228590 | − | 0.228590i | ||||
\(518\) | 3.88037 | + | 10.9516i | 0.170494 | + | 0.481186i | ||||
\(519\) | 6.94641 | 0.304914 | ||||||||
\(520\) | −14.6082 | − | 15.5105i | −0.640614 | − | 0.680182i | ||||
\(521\) | −14.9189 | + | 25.8403i | −0.653609 | + | 1.13208i | 0.328632 | + | 0.944458i | \(0.393412\pi\) |
−0.982241 | + | 0.187626i | \(0.939921\pi\) | |||||||
\(522\) | 8.37784 | + | 23.7531i | 0.366688 | + | 1.03964i | ||||
\(523\) | 34.8063 | + | 9.32633i | 1.52198 | + | 0.407812i | 0.920392 | − | 0.390998i | \(-0.127870\pi\) |
0.601583 | + | 0.798810i | \(0.294537\pi\) | |||||||
\(524\) | −8.96712 | − | 6.54948i | −0.391731 | − | 0.286116i | ||||
\(525\) | −21.3997 | − | 5.70113i | −0.933958 | − | 0.248818i | ||||
\(526\) | 20.8512 | − | 1.61467i | 0.909157 | − | 0.0704030i | ||||
\(527\) | −4.09857 | + | 2.36631i | −0.178537 | + | 0.103078i | ||||
\(528\) | 13.9446 | + | 3.03735i | 0.606863 | + | 0.132184i | ||||
\(529\) | 9.40318 | − | 16.2868i | 0.408834 | − | 0.708121i | ||||
\(530\) | 9.55942 | + | 13.9465i | 0.415235 | + | 0.605799i | ||||
\(531\) | −12.1253 | − | 12.1253i | −0.526191 | − | 0.526191i | ||||
\(532\) | 13.3575 | + | 9.72680i | 0.579121 | + | 0.421710i | ||||
\(533\) | −10.9109 | + | 10.9109i | −0.472602 | + | 0.472602i | ||||
\(534\) | 1.79127 | − | 9.59752i | 0.0775158 | − | 0.415325i | ||||
\(535\) | −31.7444 | − | 18.3276i | −1.37243 | − | 0.792372i | ||||
\(536\) | −0.855032 | − | 1.58903i | −0.0369318 | − | 0.0686355i | ||||
\(537\) | −0.690401 | − | 1.19581i | −0.0297930 | − | 0.0516030i | ||||
\(538\) | −22.0405 | + | 25.7405i | −0.950231 | + | 1.10975i | ||||
\(539\) | 30.4935 | − | 8.26457i | 1.31345 | − | 0.355980i | ||||
\(540\) | −33.1528 | + | 5.16554i | −1.42667 | + | 0.222289i | ||||
\(541\) | 3.50141 | − | 13.0674i | 0.150537 | − | 0.561813i | −0.848909 | − | 0.528539i | \(-0.822740\pi\) |
0.999446 | − | 0.0332740i | \(-0.0105934\pi\) | |||||||
\(542\) | −9.00661 | + | 18.8219i | −0.386867 | + | 0.808468i | ||||
\(543\) | 5.12698 | + | 2.96007i | 0.220020 | + | 0.127029i | ||||
\(544\) | −3.96550 | + | 5.10127i | −0.170020 | + | 0.218715i | ||||
\(545\) | − | 3.47331i | − | 0.148780i | ||||||
\(546\) | 5.62598 | − | 0.443785i | 0.240770 | − | 0.0189923i | ||||
\(547\) | −19.9064 | + | 19.9064i | −0.851134 | + | 0.851134i | −0.990273 | − | 0.139139i | \(-0.955567\pi\) |
0.139139 | + | 0.990273i | \(0.455567\pi\) | |||||||
\(548\) | −22.3350 | + | 17.9938i | −0.954104 | + | 0.768657i | ||||
\(549\) | −14.9775 | + | 4.01321i | −0.639225 | + | 0.171280i | ||||
\(550\) | 22.4804 | + | 63.7370i | 0.958566 | + | 2.71775i | ||||
\(551\) | −20.2790 | + | 11.7081i | −0.863914 | + | 0.498781i | ||||
\(552\) | 3.89503 | + | 2.40712i | 0.165783 | + | 0.102454i | ||||
\(553\) | 2.81019 | − | 1.62784i | 0.119501 | − | 0.0692229i | ||||
\(554\) | 16.9196 | − | 19.7600i | 0.718847 | − | 0.839523i | ||||
\(555\) | 2.50845 | − | 9.36167i | 0.106478 | − | 0.397381i | ||||
\(556\) | −16.7114 | − | 37.7897i | −0.708721 | − | 1.60264i | ||||
\(557\) | −12.8968 | + | 3.45569i | −0.546456 | + | 0.146422i | −0.521477 | − | 0.853265i | \(-0.674619\pi\) |
−0.0249794 | + | 0.999688i | \(0.507952\pi\) | |||||||
\(558\) | −11.4794 | + | 7.86837i | −0.485962 | + | 0.333095i | ||||
\(559\) | 10.3129 | 0.436190 | ||||||||
\(560\) | −35.1246 | + | 22.6313i | −1.48429 | + | 0.956348i | ||||
\(561\) | −4.07527 | −0.172058 | ||||||||
\(562\) | 37.2921 | − | 25.5612i | 1.57307 | − | 1.07824i | ||||
\(563\) | 24.4041 | − | 6.53907i | 1.02851 | − | 0.275589i | 0.295167 | − | 0.955446i | \(-0.404625\pi\) |
0.733345 | + | 0.679857i | \(0.237958\pi\) | |||||||
\(564\) | −2.35490 | + | 1.04139i | −0.0991594 | + | 0.0438504i | ||||
\(565\) | −1.95413 | + | 7.29293i | −0.0822110 | + | 0.306816i | ||||
\(566\) | −3.02482 | + | 3.53262i | −0.127143 | + | 0.148487i | ||||
\(567\) | −4.96990 | + | 8.63671i | −0.208716 | + | 0.362708i | ||||
\(568\) | −6.61986 | + | 1.56292i | −0.277763 | + | 0.0655788i | ||||
\(569\) | −10.8718 | + | 6.27682i | −0.455768 | + | 0.263138i | −0.710263 | − | 0.703936i | \(-0.751424\pi\) |
0.254495 | + | 0.967074i | \(0.418091\pi\) | |||||||
\(570\) | −4.58469 | − | 12.9986i | −0.192031 | − | 0.544453i | ||||
\(571\) | −38.1427 | + | 10.2203i | −1.59622 | + | 0.427706i | −0.943899 | − | 0.330235i | \(-0.892872\pi\) |
−0.652322 | + | 0.757942i | \(0.726205\pi\) | |||||||
\(572\) | −10.8049 | − | 13.4117i | −0.451776 | − | 0.560772i | ||||
\(573\) | −15.2048 | + | 15.2048i | −0.635188 | + | 0.635188i | ||||
\(574\) | 17.1439 | + | 24.9350i | 0.715573 | + | 1.04077i | ||||
\(575\) | 21.6836i | 0.904268i | ||||||||
\(576\) | −10.4683 | + | 15.8568i | −0.436180 | + | 0.660701i | ||||
\(577\) | −20.1944 | − | 11.6592i | −0.840702 | − | 0.485380i | 0.0168006 | − | 0.999859i | \(-0.494652\pi\) |
−0.857503 | + | 0.514479i | \(0.827985\pi\) | |||||||
\(578\) | −9.58105 | + | 20.0223i | −0.398519 | + | 0.832818i | ||||
\(579\) | 1.17918 | − | 4.40076i | 0.0490050 | − | 0.182889i | ||||
\(580\) | −9.11603 | − | 58.5074i | −0.378523 | − | 2.42939i | ||||
\(581\) | −6.09157 | − | 6.07411i | −0.252721 | − | 0.251997i | ||||
\(582\) | 6.12943 | − | 7.15841i | 0.254073 | − | 0.296725i | ||||
\(583\) | 6.83364 | + | 11.8362i | 0.283020 | + | 0.490206i | ||||
\(584\) | −2.40750 | + | 8.01651i | −0.0996231 | + | 0.331726i | ||||
\(585\) | 15.4946 | + | 8.94583i | 0.640624 | + | 0.369865i | ||||
\(586\) | −2.56218 | + | 13.7280i | −0.105843 | + | 0.567100i | ||||
\(587\) | 24.2488 | − | 24.2488i | 1.00085 | − | 1.00085i | 0.000853494 | − | 1.00000i | \(-0.499728\pi\) |
1.00000 | 0.000853494i | \(-0.000271676\pi\) | ||||||||
\(588\) | 1.15291 | − | 11.0070i | 0.0475453 | − | 0.453923i | ||||
\(589\) | −9.14897 | − | 9.14897i | −0.376977 | − | 0.376977i | ||||
\(590\) | 22.7918 | + | 33.2517i | 0.938323 | + | 1.36895i | ||||
\(591\) | −7.14040 | + | 12.3675i | −0.293717 | + | 0.508732i | ||||
\(592\) | −6.71250 | − | 10.4510i | −0.275882 | − | 0.429531i | ||||
\(593\) | 33.2134 | − | 19.1758i | 1.36391 | − | 0.787454i | 0.373768 | − | 0.927522i | \(-0.378066\pi\) |
0.990142 | + | 0.140068i | \(0.0447322\pi\) | |||||||
\(594\) | −27.0405 | + | 2.09395i | −1.10948 | + | 0.0859160i | ||||
\(595\) | 8.42474 | − | 8.44895i | 0.345381 | − | 0.346373i | ||||
\(596\) | −13.9054 | + | 19.0384i | −0.569587 | + | 0.779841i | ||||
\(597\) | 4.20530 | + | 1.12681i | 0.172112 | + | 0.0461171i | ||||
\(598\) | −1.83794 | − | 5.21098i | −0.0751589 | − | 0.213093i | ||||
\(599\) | −0.398968 | + | 0.691033i | −0.0163014 | + | 0.0282348i | −0.874061 | − | 0.485816i | \(-0.838522\pi\) |
0.857760 | + | 0.514051i | \(0.171856\pi\) | |||||||
\(600\) | 23.6645 | + | 0.708939i | 0.966101 | + | 0.0289423i | ||||
\(601\) | −4.37578 | −0.178492 | −0.0892459 | − | 0.996010i | \(-0.528446\pi\) | ||||
−0.0892459 | + | 0.996010i | \(0.528446\pi\) | |||||||
\(602\) | 3.68206 | − | 19.8864i | 0.150069 | − | 0.810510i | ||||
\(603\) | 1.07144 | + | 1.07144i | 0.0436323 | + | 0.0436323i | ||||
\(604\) | 17.1994 | + | 21.3489i | 0.699833 | + | 0.868676i | ||||
\(605\) | 9.57552 | + | 35.7363i | 0.389300 | + | 1.45289i | ||||
\(606\) | −14.8588 | − | 7.11023i | −0.603599 | − | 0.288833i | ||||
\(607\) | 3.27685 | + | 5.67568i | 0.133003 | + | 0.230369i | 0.924833 | − | 0.380373i | \(-0.124205\pi\) |
−0.791830 | + | 0.610742i | \(0.790871\pi\) | |||||||
\(608\) | −16.2772 | − | 6.86233i | −0.660127 | − | 0.278304i | ||||
\(609\) | 13.5937 | + | 7.82234i | 0.550844 | + | 0.316977i | ||||
\(610\) | 36.3444 | − | 2.81443i | 1.47154 | − | 0.113953i | ||||
\(611\) | 3.00145 | + | 0.804235i | 0.121425 | + | 0.0325359i | ||||
\(612\) | 1.95710 | − | 5.06039i | 0.0791112 | − | 0.204554i | ||||
\(613\) | 4.86583 | + | 18.1595i | 0.196529 | + | 0.733457i | 0.991866 | + | 0.127289i | \(0.0406274\pi\) |
−0.795337 | + | 0.606168i | \(0.792706\pi\) | |||||||
\(614\) | 8.58222 | − | 45.9831i | 0.346350 | − | 1.85573i | ||||
\(615\) | − | 25.2417i | − | 1.01785i | ||||||
\(616\) | −29.7196 | + | 16.0467i | −1.19744 | + | 0.646540i | ||||
\(617\) | − | 22.2202i | − | 0.894552i | −0.894396 | − | 0.447276i | \(-0.852394\pi\) | ||
0.894396 | − | 0.447276i | \(-0.147606\pi\) | |||||||
\(618\) | 8.72256 | + | 1.62797i | 0.350873 | + | 0.0654865i | ||||
\(619\) | −2.20771 | − | 8.23929i | −0.0887354 | − | 0.331165i | 0.907260 | − | 0.420570i | \(-0.138170\pi\) |
−0.995995 | + | 0.0894053i | \(0.971503\pi\) | |||||||
\(620\) | 29.9230 | − | 13.2326i | 1.20174 | − | 0.531434i | ||||
\(621\) | −8.40496 | − | 2.25210i | −0.337280 | − | 0.0903738i | ||||
\(622\) | −2.74999 | − | 35.5123i | −0.110264 | − | 1.42391i | ||||
\(623\) | 11.5815 | + | 19.9934i | 0.464002 | + | 0.801019i | ||||
\(624\) | −5.74713 | + | 1.83548i | −0.230069 | + | 0.0734779i | ||||
\(625\) | 17.0872 | + | 29.5959i | 0.683489 | + | 1.18384i | ||||
\(626\) | −5.15945 | + | 10.7821i | −0.206213 | + | 0.430941i | ||||
\(627\) | −2.88362 | − | 10.7618i | −0.115161 | − | 0.429785i | ||||
\(628\) | −4.14390 | − | 0.446072i | −0.165360 | − | 0.0178002i | ||||
\(629\) | 2.50798 | + | 2.50798i | 0.0999997 | + | 0.0999997i | ||||
\(630\) | 22.7824 | − | 26.6844i | 0.907671 | − | 1.06313i | ||||
\(631\) | 45.0684 | 1.79415 | 0.897073 | − | 0.441882i | \(-0.145689\pi\) | ||||
0.897073 | + | 0.441882i | \(0.145689\pi\) | |||||||
\(632\) | −2.52738 | + | 2.38036i | −0.100534 | + | 0.0946855i | ||||
\(633\) | −10.8356 | + | 18.7679i | −0.430678 | + | 0.745956i | ||||
\(634\) | 25.5239 | − | 9.00241i | 1.01368 | − | 0.357531i | ||||
\(635\) | −45.6146 | − | 12.2224i | −1.81016 | − | 0.485031i | ||||
\(636\) | 4.73058 | − | 0.737070i | 0.187580 | − | 0.0292267i | ||||
\(637\) | −9.41679 | + | 9.47099i | −0.373107 | + | 0.375254i | ||||
\(638\) | −3.69537 | − | 47.7205i | −0.146301 | − | 1.88927i | ||||
\(639\) | 4.94643 | − | 2.85582i | 0.195678 | − | 0.112975i | ||||
\(640\) | 31.0320 | − | 32.1302i | 1.22665 | − | 1.27006i | ||||
\(641\) | −14.4649 | + | 25.0540i | −0.571329 | + | 0.989572i | 0.425100 | + | 0.905146i | \(0.360239\pi\) |
−0.996430 | + | 0.0844254i | \(0.973095\pi\) | |||||||
\(642\) | −8.56108 | + | 5.86804i | −0.337879 | + | 0.231593i | ||||
\(643\) | −27.4126 | − | 27.4126i | −1.08105 | − | 1.08105i | −0.996412 | − | 0.0846366i | \(-0.973027\pi\) |
−0.0846366 | − | 0.996412i | \(-0.526973\pi\) | |||||||
\(644\) | −10.7045 | + | 1.68361i | −0.421818 | + | 0.0663435i | ||||
\(645\) | −11.9292 | + | 11.9292i | −0.469712 | + | 0.469712i | ||||
\(646\) | 4.95852 | + | 0.925453i | 0.195091 | + | 0.0364115i | ||||
\(647\) | −25.8281 | − | 14.9119i | −1.01541 | − | 0.586247i | −0.102638 | − | 0.994719i | \(-0.532728\pi\) |
−0.912771 | + | 0.408472i | \(0.866062\pi\) | |||||||
\(648\) | 3.06397 | − | 10.2024i | 0.120364 | − | 0.400789i | ||||
\(649\) | 16.2929 | + | 28.2201i | 0.639553 | + | 1.10774i | ||||
\(650\) | −21.7020 | − | 18.5825i | −0.851222 | − | 0.728864i | ||||
\(651\) | −2.23091 | + | 8.37393i | −0.0874364 | + | 0.328200i | ||||
\(652\) | 2.12768 | − | 2.91308i | 0.0833263 | − | 0.114085i | ||||
\(653\) | 3.37562 | − | 12.5980i | 0.132098 | − | 0.492997i | −0.867895 | − | 0.496748i | \(-0.834527\pi\) |
0.999993 | + | 0.00375078i | \(0.00119391\pi\) | |||||||
\(654\) | −0.887145 | − | 0.424515i | −0.0346901 | − | 0.0165999i | ||||
\(655\) | −18.9843 | − | 10.9606i | −0.741776 | − | 0.428265i | ||||
\(656\) | −23.9311 | − | 21.7664i | −0.934354 | − | 0.849837i | ||||
\(657\) | − | 7.02862i | − | 0.274213i | ||||||
\(658\) | 2.62242 | − | 5.50055i | 0.102233 | − | 0.214434i | ||||
\(659\) | −15.1555 | + | 15.1555i | −0.590375 | + | 0.590375i | −0.937733 | − | 0.347358i | \(-0.887079\pi\) |
0.347358 | + | 0.937733i | \(0.387079\pi\) | |||||||
\(660\) | 28.0120 | + | 3.01536i | 1.09036 | + | 0.117373i | ||||
\(661\) | 2.13447 | − | 0.571930i | 0.0830213 | − | 0.0222455i | −0.217069 | − | 0.976156i | \(-0.569650\pi\) |
0.300091 | + | 0.953911i | \(0.402983\pi\) | |||||||
\(662\) | −19.2773 | + | 6.79920i | −0.749233 | + | 0.264258i | ||||
\(663\) | 1.49196 | − | 0.861381i | 0.0579428 | − | 0.0334533i | ||||
\(664\) | 7.82305 | + | 4.83463i | 0.303593 | + | 0.187620i | ||||
\(665\) | 28.2729 | + | 16.2693i | 1.09638 | + | 0.630897i | ||||
\(666\) | 7.92259 | + | 6.78377i | 0.306994 | + | 0.262866i | ||||
\(667\) | 3.97446 | − | 14.8329i | 0.153892 | − | 0.574332i | ||||
\(668\) | 40.2920 | + | 15.5829i | 1.55894 | + | 0.602921i | ||||
\(669\) | 16.9041 | − | 4.52945i | 0.653551 | − | 0.175118i | ||||
\(670\) | −2.01397 | − | 2.93825i | −0.0778066 | − | 0.113515i | ||||
\(671\) | 29.4658 | 1.13752 | ||||||||
\(672\) | 1.48744 | + | 11.7375i | 0.0573791 | + | 0.452785i | ||||
\(673\) | −50.4864 | −1.94611 | −0.973054 | − | 0.230577i | \(-0.925939\pi\) | ||||
−0.973054 | + | 0.230577i | \(0.925939\pi\) | |||||||
\(674\) | 10.9666 | + | 15.9995i | 0.422418 | + | 0.616279i | ||||
\(675\) | −43.4587 | + | 11.6447i | −1.67273 | + | 0.448205i | ||||
\(676\) | −17.4591 | − | 6.75231i | −0.671505 | − | 0.259704i | ||||
\(677\) | 7.66899 | − | 28.6211i | 0.294743 | − | 1.10000i | −0.646678 | − | 0.762763i | \(-0.723842\pi\) |
0.941421 | − | 0.337234i | \(-0.109491\pi\) | |||||||
\(678\) | 1.62391 | + | 1.39048i | 0.0623658 | + | 0.0534010i | ||||
\(679\) | 0.0320023 | + | 22.3028i | 0.00122814 | + | 0.855903i | ||||
\(680\) | −6.70558 | + | 10.8505i | −0.257147 | + | 0.416098i | ||||
\(681\) | −5.89450 | + | 3.40319i | −0.225878 | + | 0.130410i | ||||
\(682\) | 24.9410 | − | 8.79682i | 0.955040 | − | 0.336848i | ||||
\(683\) | 3.63037 | − | 0.972755i | 0.138912 | − | 0.0372214i | −0.188693 | − | 0.982036i | \(-0.560425\pi\) |
0.327605 | + | 0.944815i | \(0.393758\pi\) | |||||||
\(684\) | 14.7481 | + | 1.58756i | 0.563907 | + | 0.0607020i | ||||
\(685\) | −40.0368 | + | 40.0368i | −1.52973 | + | 1.52973i | ||||
\(686\) | 14.9008 | + | 21.5399i | 0.568916 | + | 0.822396i | ||||
\(687\) | 20.0098i | 0.763423i | ||||||||
\(688\) | 1.02303 | + | 21.5966i | 0.0390027 | + | 0.823362i | ||||
\(689\) | −5.00358 | − | 2.88882i | −0.190621 | − | 0.110055i | ||||
\(690\) | 8.15366 | + | 3.90168i | 0.310404 | + | 0.148534i | ||||
\(691\) | 3.71391 | − | 13.8605i | 0.141284 | − | 0.527278i | −0.858609 | − | 0.512631i | \(-0.828671\pi\) |
0.999893 | − | 0.0146470i | \(-0.00466244\pi\) | |||||||
\(692\) | 10.3656 | − | 14.1919i | 0.394042 | − | 0.539496i | ||||
\(693\) | 20.0258 | − | 20.0833i | 0.760717 | − | 0.762903i | ||||
\(694\) | −10.0936 | − | 8.64270i | −0.383148 | − | 0.328072i | ||||
\(695\) | −40.7851 | − | 70.6418i | −1.54707 | − | 2.67960i | ||||
\(696\) | −16.0580 | − | 4.82251i | −0.608678 | − | 0.182797i | ||||
\(697\) | 7.99980 | + | 4.61869i | 0.303014 | + | 0.174945i | ||||
\(698\) | −16.4179 | − | 3.06421i | −0.621426 | − | 0.115982i | ||||
\(699\) | −8.70312 | + | 8.70312i | −0.329182 | + | 0.329182i | ||||
\(700\) | −43.5809 | + | 35.2134i | −1.64720 | + | 1.33094i | ||||
\(701\) | 12.9519 | + | 12.9519i | 0.489187 | + | 0.489187i | 0.908050 | − | 0.418863i | \(-0.137571\pi\) |
−0.418863 | + | 0.908050i | \(0.637571\pi\) | |||||||
\(702\) | 9.45692 | − | 6.48208i | 0.356928 | − | 0.244650i | ||||
\(703\) | −4.84835 | + | 8.39758i | −0.182859 | + | 0.316721i | ||||
\(704\) | 27.0141 | − | 23.9573i | 1.01813 | − | 0.902926i | ||||
\(705\) | −4.40212 | + | 2.54157i | −0.165794 | + | 0.0957210i | ||||
\(706\) | −2.13543 | − | 27.5761i | −0.0803681 | − | 1.03784i | ||||
\(707\) | 37.6405 | − | 10.1437i | 1.41562 | − | 0.381492i | ||||
\(708\) | 11.2787 | − | 1.75734i | 0.423881 | − | 0.0660448i | ||||
\(709\) | 0.623389 | + | 0.167036i | 0.0234119 | + | 0.00627319i | 0.270506 | − | 0.962718i | \(-0.412809\pi\) |
−0.247094 | + | 0.968991i | \(0.579476\pi\) | |||||||
\(710\) | −12.6631 | + | 4.46634i | −0.475238 | + | 0.167619i | ||||
\(711\) | 1.45769 | − | 2.52479i | 0.0546676 | − | 0.0946870i | ||||
\(712\) | −16.9353 | − | 17.9813i | −0.634678 | − | 0.673879i | ||||
\(713\) | 8.48503 | 0.317767 | ||||||||
\(714\) | −1.12832 | − | 3.18448i | −0.0422265 | − | 0.119176i | ||||
\(715\) | −24.0413 | − | 24.0413i | −0.899094 | − | 0.899094i | ||||
\(716\) | −3.47334 | − | 0.373889i | −0.129805 | − | 0.0139729i | ||||
\(717\) | 2.37809 | + | 8.87514i | 0.0888113 | + | 0.331448i | ||||
\(718\) | 10.7484 | − | 22.4618i | 0.401127 | − | 0.838269i | ||||
\(719\) | 15.4833 | + | 26.8178i | 0.577429 | + | 1.00014i | 0.995773 | + | 0.0918476i | \(0.0292772\pi\) |
−0.418344 | + | 0.908289i | \(0.637389\pi\) | |||||||
\(720\) | −17.1967 | + | 33.3352i | −0.640883 | + | 1.24233i | ||||
\(721\) | −18.1707 | + | 10.5257i | −0.676712 | + | 0.391996i | ||||
\(722\) | −1.00985 | − | 13.0407i | −0.0375826 | − | 0.485326i | ||||
\(723\) | −2.14806 | − | 0.575572i | −0.0798873 | − | 0.0214057i | ||||
\(724\) | 13.6982 | − | 6.05764i | 0.509090 | − | 0.225130i | ||||
\(725\) | −20.5503 | − | 76.6949i | −0.763221 | − | 2.84838i | ||||
\(726\) | 10.2981 | + | 1.92202i | 0.382197 | + | 0.0713327i | ||||
\(727\) | 16.7744i | 0.622128i | 0.950389 | + | 0.311064i | \(0.100685\pi\) | ||||
−0.950389 | + | 0.311064i | \(0.899315\pi\) | |||||||
\(728\) | 7.48856 | − | 12.1564i | 0.277545 | − | 0.450548i | ||||
\(729\) | − | 1.13181i | − | 0.0419187i | ||||||
\(730\) | −3.03163 | + | 16.2433i | −0.112206 | + | 0.601191i | ||||
\(731\) | −1.59791 | − | 5.96348i | −0.0591008 | − | 0.220567i | ||||
\(732\) | 3.72324 | − | 9.62699i | 0.137615 | − | 0.355824i | ||||
\(733\) | 29.4110 | + | 7.88067i | 1.08632 | + | 0.291079i | 0.757183 | − | 0.653203i | \(-0.226575\pi\) |
0.329139 | + | 0.944282i | \(0.393242\pi\) | |||||||
\(734\) | 46.4766 | − | 3.59904i | 1.71548 | − | 0.132843i | ||||
\(735\) | −0.0626995 | − | 21.8480i | −0.00231271 | − | 0.805874i | ||||
\(736\) | 10.7301 | − | 4.36581i | 0.395518 | − | 0.160926i | ||||
\(737\) | −1.43971 | − | 2.49365i | −0.0530323 | − | 0.0918546i | ||||
\(738\) | 24.5034 | + | 11.7253i | 0.901982 | + | 0.431615i | ||||
\(739\) | −6.69098 | − | 24.9711i | −0.246132 | − | 0.918577i | −0.972811 | − | 0.231600i | \(-0.925604\pi\) |
0.726679 | − | 0.686977i | \(-0.241063\pi\) | |||||||
\(740\) | −15.3833 | − | 19.0946i | −0.565500 | − | 0.701933i | ||||
\(741\) | 3.33039 | + | 3.33039i | 0.122345 | + | 0.122345i | ||||
\(742\) | −7.35696 | + | 8.61701i | −0.270083 | + | 0.316340i | ||||
\(743\) | 16.7597 | 0.614855 | 0.307427 | − | 0.951572i | \(-0.400532\pi\) | ||||
0.307427 | + | 0.951572i | \(0.400532\pi\) | |||||||
\(744\) | 0.277416 | − | 9.26020i | 0.0101706 | − | 0.339495i | ||||
\(745\) | −23.2707 | + | 40.3060i | −0.852572 | + | 1.47670i | ||||
\(746\) | 6.31856 | + | 17.9146i | 0.231339 | + | 0.655899i | ||||
\(747\) | −7.45925 | − | 1.99870i | −0.272920 | − | 0.0731286i | ||||
\(748\) | −6.08123 | + | 8.32602i | −0.222352 | + | 0.304430i | ||||
\(749\) | 6.32334 | − | 23.7352i | 0.231050 | − | 0.867265i | ||||
\(750\) | 24.5940 | − | 1.90450i | 0.898046 | − | 0.0695427i | ||||
\(751\) | 19.4065 | − | 11.2044i | 0.708154 | − | 0.408853i | −0.102223 | − | 0.994761i | \(-0.532596\pi\) |
0.810377 | + | 0.585909i | \(0.199262\pi\) | |||||||
\(752\) | −1.38643 | + | 6.36520i | −0.0505580 | + | 0.232115i | ||||
\(753\) | −1.11521 | + | 1.93159i | −0.0406404 | + | 0.0703912i | ||||
\(754\) | 11.4394 | + | 16.6894i | 0.416600 | + | 0.607791i | ||||
\(755\) | 38.2692 | + | 38.2692i | 1.39276 | + | 1.39276i | ||||
\(756\) | −9.12297 | − | 20.5501i | −0.331799 | − | 0.747400i | ||||
\(757\) | 10.1520 | − | 10.1520i | 0.368982 | − | 0.368982i | −0.498124 | − | 0.867106i | \(-0.665978\pi\) |
0.867106 | + | 0.498124i | \(0.165978\pi\) | |||||||
\(758\) | 0.226485 | − | 1.21349i | 0.00822632 | − | 0.0440761i | ||||
\(759\) | 6.32760 | + | 3.65324i | 0.229677 | + | 0.132604i | ||||
\(760\) | −33.3984 | − | 10.0301i | −1.21149 | − | 0.363831i | ||||
\(761\) | −10.0149 | − | 17.3464i | −0.363041 | − | 0.628805i | 0.625419 | − | 0.780289i | \(-0.284928\pi\) |
−0.988460 | + | 0.151484i | \(0.951595\pi\) | |||||||
\(762\) | −8.69694 | + | 10.1569i | −0.315057 | + | 0.367947i | ||||
\(763\) | 2.24732 | − | 0.605626i | 0.0813586 | − | 0.0219251i | ||||
\(764\) | 8.37527 | + | 53.7532i | 0.303007 | + | 1.94472i | ||||
\(765\) | 2.77218 | − | 10.3459i | 0.100228 | − | 0.374057i | ||||
\(766\) | −0.261753 | + | 0.547007i | −0.00945752 | + | 0.0197642i | ||||
\(767\) | −11.9297 | − | 6.88759i | −0.430755 | − | 0.248696i | ||||
\(768\) | −4.41384 | − | 11.8532i | −0.159271 | − | 0.427714i | ||||
\(769\) | 50.7365i | 1.82960i | 0.403902 | + | 0.914802i | \(0.367654\pi\) | ||||
−0.403902 | + | 0.914802i | \(0.632346\pi\) | |||||||
\(770\) | −54.9425 | + | 37.7754i | −1.97999 | + | 1.36133i | ||||
\(771\) | −8.36185 | + | 8.36185i | −0.301144 | + | 0.301144i | ||||
\(772\) | −7.23141 | − | 8.97606i | −0.260264 | − | 0.323056i | ||||
\(773\) | −28.8514 | + | 7.73070i | −1.03771 | + | 0.278054i | −0.737165 | − | 0.675713i | \(-0.763836\pi\) |
−0.300547 | + | 0.953767i | \(0.597169\pi\) | |||||||
\(774\) | −6.03889 | − | 17.1216i | −0.217063 | − | 0.615424i | ||||
\(775\) | 37.9949 | − | 21.9363i | 1.36482 | − | 0.787977i | ||||
\(776\) | −5.47855 | − | 23.2047i | −0.196669 | − | 0.833002i | ||||
\(777\) | 6.49464 | − | 0.00931918i | 0.232994 | − | 0.000334324i | ||||
\(778\) | −9.62681 | + | 11.2429i | −0.345138 | + | 0.403078i | ||||
\(779\) | −6.53627 | + | 24.3937i | −0.234186 | + | 0.873994i | ||||
\(780\) | −10.8925 | + | 4.81691i | −0.390015 | + | 0.172473i | ||||
\(781\) | −10.4840 | + | 2.80918i | −0.375148 | + | 0.100520i | ||||
\(782\) | −2.72849 | + | 1.87020i | −0.0975706 | + | 0.0668781i | ||||
\(783\) | 31.8628 | 1.13868 | ||||||||
\(784\) | −20.7676 | − | 18.7805i | −0.741701 | − | 0.670731i | ||||
\(785\) | −8.22781 | −0.293663 | ||||||||
\(786\) | −5.11983 | + | 3.50930i | −0.182618 | + | 0.125173i | ||||
\(787\) | −37.0302 | + | 9.92221i | −1.31998 | + | 0.353688i | −0.848972 | − | 0.528438i | \(-0.822778\pi\) |
−0.471012 | + | 0.882127i | \(0.656111\pi\) | |||||||
\(788\) | 14.6125 | + | 33.0434i | 0.520549 | + | 1.17712i | ||||
\(789\) | 3.02568 | − | 11.2920i | 0.107717 | − | 0.402005i | ||||
\(790\) | −4.45775 | + | 5.20610i | −0.158600 | + | 0.185225i | ||||
\(791\) | −5.05946 | + | 0.00725983i | −0.179894 | + | 0.000258130i | ||||
\(792\) | −15.9393 | + | 25.7919i | −0.566379 | + | 0.916475i | ||||
\(793\) | −10.7874 | + | 6.22812i | −0.383073 | + | 0.221167i | ||||
\(794\) | −13.1310 | − | 37.2295i | −0.466003 | − | 1.32122i | ||||
\(795\) | 9.12933 | − | 2.44620i | 0.323784 | − | 0.0867577i | ||||
\(796\) | 8.57740 | − | 6.91023i | 0.304018 | − | 0.244927i | ||||
\(797\) | −18.8328 | + | 18.8328i | −0.667092 | + | 0.667092i | −0.957042 | − | 0.289949i | \(-0.906361\pi\) |
0.289949 | + | 0.957042i | \(0.406361\pi\) | |||||||
\(798\) | 7.61106 | − | 5.23294i | 0.269429 | − | 0.185244i | ||||
\(799\) | − | 1.86021i | − | 0.0658094i | ||||||
\(800\) | 36.7613 | − | 47.2901i | 1.29971 | − | 1.67196i | ||||
\(801\) | 17.9629 | + | 10.3709i | 0.634688 | + | 0.366437i | ||||
\(802\) | −16.1008 | + | 33.6473i | −0.568541 | + | 1.18813i | ||||
\(803\) | −3.45692 | + | 12.9014i | −0.121992 | + | 0.455280i | ||||
\(804\) | −0.996635 | + | 0.155285i | −0.0351486 | + | 0.00547650i | ||||
\(805\) | −20.6549 | + | 5.56624i | −0.727990 | + | 0.196184i | ||||
\(806\) | −7.27152 | + | 8.49223i | −0.256128 | + | 0.299126i | ||||
\(807\) | 9.47120 | + | 16.4046i | 0.333402 | + | 0.577469i | ||||
\(808\) | −36.6994 | + | 19.7474i | −1.29108 | + | 0.694711i | ||||
\(809\) | −17.1772 | − | 9.91725i | −0.603918 | − | 0.348672i | 0.166663 | − | 0.986014i | \(-0.446701\pi\) |
−0.770581 | + | 0.637342i | \(0.780034\pi\) | |||||||
\(810\) | 3.85828 | − | 20.6725i | 0.135566 | − | 0.726356i | ||||
\(811\) | −3.89894 | + | 3.89894i | −0.136910 | + | 0.136910i | −0.772240 | − | 0.635330i | \(-0.780864\pi\) |
0.635330 | + | 0.772240i | \(0.280864\pi\) | |||||||
\(812\) | 36.2664 | − | 16.1000i | 1.27270 | − | 0.565000i | ||||
\(813\) | 8.24740 | + | 8.24740i | 0.289249 | + | 0.289249i | ||||
\(814\) | −11.2058 | − | 16.3485i | −0.392764 | − | 0.573016i | ||||
\(815\) | 3.56067 | − | 6.16726i | 0.124725 | − | 0.216030i | ||||
\(816\) | 1.95184 | + | 3.03890i | 0.0683282 | + | 0.106383i | ||||
\(817\) | 14.6174 | − | 8.43938i | 0.511400 | − | 0.295257i | ||||
\(818\) | −25.1383 | + | 1.94665i | −0.878940 | + | 0.0680631i | ||||
\(819\) | −3.08646 | + | 11.5853i | −0.107850 | + | 0.404823i | ||||
\(820\) | −51.5704 | − | 37.6664i | −1.80092 | − | 1.31537i | ||||
\(821\) | 18.6923 | + | 5.00859i | 0.652366 | + | 0.174801i | 0.569798 | − | 0.821784i | \(-0.307021\pi\) |
0.0825677 | + | 0.996585i | \(0.473688\pi\) | |||||||
\(822\) | 5.33274 | + | 15.1195i | 0.186001 | + | 0.527354i | ||||
\(823\) | 20.0886 | − | 34.7944i | 0.700243 | − | 1.21286i | −0.268138 | − | 0.963381i | \(-0.586408\pi\) |
0.968381 | − | 0.249476i | \(-0.0802583\pi\) | |||||||
\(824\) | 16.3421 | − | 15.3914i | 0.569303 | − | 0.536185i | ||||
\(825\) | 37.7789 | 1.31529 | ||||||||
\(826\) | −17.5406 | + | 20.5449i | −0.610317 | + | 0.714847i | ||||
\(827\) | 11.2802 | + | 11.2802i | 0.392250 | + | 0.392250i | 0.875489 | − | 0.483239i | \(-0.160540\pi\) |
−0.483239 | + | 0.875489i | \(0.660540\pi\) | |||||||
\(828\) | −7.57509 | + | 6.10274i | −0.263253 | + | 0.212085i | ||||
\(829\) | −10.9094 | − | 40.7143i | −0.378898 | − | 1.41407i | −0.847565 | − | 0.530691i | \(-0.821933\pi\) |
0.468668 | − | 0.883375i | \(-0.344734\pi\) | |||||||
\(830\) | 16.3764 | + | 7.83641i | 0.568433 | + | 0.272006i | ||||
\(831\) | −7.27069 | − | 12.5932i | −0.252217 | − | 0.436853i | ||||
\(832\) | −4.82603 | + | 14.4807i | −0.167312 | + | 0.502027i | ||||
\(833\) | 6.93569 | + | 3.97783i | 0.240307 | + | 0.137824i | ||||
\(834\) | −23.0281 | + | 1.78324i | −0.797396 | + | 0.0617486i | ||||
\(835\) | 82.3765 | + | 22.0727i | 2.85076 | + | 0.763858i | ||||
\(836\) | −26.2900 | − | 10.1677i | −0.909260 | − | 0.351656i | ||||
\(837\) | 4.55671 | + | 17.0059i | 0.157503 | + | 0.587809i | ||||
\(838\) | −7.19832 | + | 38.5682i | −0.248662 | + | 1.33232i | ||||
\(839\) | − | 27.4328i | − | 0.947087i | −0.880771 | − | 0.473543i | \(-0.842975\pi\) | ||
0.880771 | − | 0.473543i | \(-0.157025\pi\) | |||||||
\(840\) | 5.39945 | + | 22.7239i | 0.186299 | + | 0.784048i | ||||
\(841\) | 27.2308i | 0.938992i | ||||||||
\(842\) | 10.3297 | + | 1.92793i | 0.355986 | + | 0.0664408i | ||||
\(843\) | −6.54097 | − | 24.4112i | −0.225283 | − | 0.840767i | ||||
\(844\) | 22.1747 | + | 50.1438i | 0.763283 | + | 1.72602i | ||||
\(845\) | −35.6950 | − | 9.56445i | −1.22795 | − | 0.329027i | ||||
\(846\) | −0.422343 | − | 5.45396i | −0.0145204 | − | 0.187511i | ||||
\(847\) | −21.4527 | + | 12.4268i | −0.737125 | + | 0.426991i | ||||
\(848\) | 5.55322 | − | 10.7647i | 0.190698 | − | 0.369662i | ||||
\(849\) | 1.29982 | + | 2.25136i | 0.0446098 | + | 0.0772665i | ||||
\(850\) | −7.38280 | + | 15.4285i | −0.253228 | + | 0.529192i | ||||
\(851\) | −1.64584 | − | 6.14234i | −0.0564185 | − | 0.210557i | ||||
\(852\) | −0.406928 | + | 3.78027i | −0.0139411 | + | 0.129510i | ||||
\(853\) | 8.95019 | + | 8.95019i | 0.306449 | + | 0.306449i | 0.843530 | − | 0.537082i | \(-0.180473\pi\) |
−0.537082 | + | 0.843530i | \(0.680473\pi\) | |||||||
\(854\) | 8.15823 | + | 23.0251i | 0.279169 | + | 0.787901i | ||||
\(855\) | 29.2826 | 1.00144 | ||||||||
\(856\) | −0.786311 | + | 26.2472i | −0.0268756 | + | 0.897112i | ||||
\(857\) | 26.8241 | − | 46.4607i | 0.916294 | − | 1.58707i | 0.111299 | − | 0.993787i | \(-0.464499\pi\) |
0.804995 | − | 0.593281i | \(-0.202168\pi\) | |||||||
\(858\) | −9.07897 | + | 3.20220i | −0.309951 | + | 0.109321i | ||||
\(859\) | −12.7333 | − | 3.41188i | −0.434455 | − | 0.116412i | 0.0349617 | − | 0.999389i | \(-0.488869\pi\) |
−0.469417 | + | 0.882977i | \(0.655536\pi\) | |||||||
\(860\) | 6.57099 | + | 42.1731i | 0.224069 | + | 1.43809i | ||||
\(861\) | 16.3321 | − | 4.40130i | 0.556596 | − | 0.149996i | ||||
\(862\) | 2.93185 | + | 37.8607i | 0.0998591 | + | 1.28954i | ||||
\(863\) | −6.64111 | + | 3.83425i | −0.226066 | + | 0.130519i | −0.608756 | − | 0.793358i | \(-0.708331\pi\) |
0.382690 | + | 0.923877i | \(0.374998\pi\) | |||||||
\(864\) | 14.5124 | + | 19.1610i | 0.493723 | + | 0.651871i | ||||
\(865\) | 17.3469 | − | 30.0457i | 0.589812 | − | 1.02158i | ||||
\(866\) | 21.7571 | − | 14.9131i | 0.739338 | − | 0.506766i | ||||
\(867\) | 8.77341 | + | 8.77341i | 0.297961 | + | 0.297961i | ||||
\(868\) | 13.7794 | + | 17.0537i | 0.467703 | + | 0.578840i | ||||
\(869\) | −3.91744 | + | 3.91744i | −0.132890 | + | 0.132890i | ||||
\(870\) | −32.5373 | − | 6.07272i | −1.10312 | − | 0.205884i | ||||
\(871\) | 1.05415 | + | 0.608615i | 0.0357186 | + | 0.0206221i | ||||
\(872\) | −2.19113 | + | 1.17902i | −0.0742011 | + | 0.0399265i | ||||
\(873\) | 10.0106 | + | 17.3388i | 0.338807 | + | 0.586830i | ||||
\(874\) | −6.86939 | − | 5.88195i | −0.232361 | − | 0.198960i | ||||
\(875\) | −41.2203 | + | 41.3387i | −1.39350 | + | 1.39750i | ||||
\(876\) | 3.77830 | + | 2.75962i | 0.127657 | + | 0.0932391i | ||||
\(877\) | −3.97908 | + | 14.8501i | −0.134364 | + | 0.501453i | 0.865636 | + | 0.500674i | \(0.166915\pi\) |
−1.00000 | 0.000778781i | \(0.999752\pi\) | ||||||||
\(878\) | 25.8459 | + | 12.3677i | 0.872255 | + | 0.417390i | ||||
\(879\) | 6.76038 | + | 3.90311i | 0.228022 | + | 0.131649i | ||||
\(880\) | 47.9608 | − | 52.7305i | 1.61676 | − | 1.77755i | ||||
\(881\) | − | 21.5605i | − | 0.726392i | −0.931713 | − | 0.363196i | \(-0.881686\pi\) | ||
0.931713 | − | 0.363196i | \(-0.118314\pi\) | |||||||
\(882\) | 21.2380 | + | 10.0880i | 0.715120 | + | 0.339680i | ||||
\(883\) | 3.61325 | − | 3.61325i | 0.121596 | − | 0.121596i | −0.643690 | − | 0.765286i | \(-0.722598\pi\) |
0.765286 | + | 0.643690i | \(0.222598\pi\) | |||||||
\(884\) | 0.466484 | − | 4.33353i | 0.0156896 | − | 0.145752i | ||||
\(885\) | 21.7664 | − | 5.83228i | 0.731668 | − | 0.196050i | ||||
\(886\) | 47.1574 | − | 16.6327i | 1.58428 | − | 0.558785i | ||||
\(887\) | −31.1537 | + | 17.9866i | −1.04604 | + | 0.603930i | −0.921537 | − | 0.388290i | \(-0.873066\pi\) |
−0.124500 | + | 0.992220i | \(0.539733\pi\) | |||||||
\(888\) | −6.75730 | + | 1.59537i | −0.226760 | + | 0.0535372i | ||||
\(889\) | −0.0454076 | − | 31.6450i | −0.00152292 | − | 1.06134i | ||||
\(890\) | −37.0394 | − | 31.7152i | −1.24156 | − | 1.06310i | ||||
\(891\) | 4.39954 | − | 16.4193i | 0.147390 | − | 0.550067i | ||||
\(892\) | 15.9709 | − | 41.2951i | 0.534744 | − | 1.38266i | ||||
\(893\) | 4.91235 | − | 1.31626i | 0.164386 | − | 0.0440470i | ||||
\(894\) | 7.45069 | + | 10.8701i | 0.249188 | + | 0.363549i | ||||
\(895\) | −6.89640 | −0.230521 | ||||||||
\(896\) | 26.2000 | + | 14.4761i | 0.875282 | + | 0.483613i | ||||
\(897\) | −3.08871 | −0.103129 | ||||||||
\(898\) | −11.2499 | − | 16.4128i | −0.375413 | − | 0.547702i | ||||
\(899\) | −30.0116 | + | 8.04158i | −1.00094 | + | 0.268202i | ||||
\(900\) | −18.1429 | + | 46.9111i | −0.604762 | + | 1.56370i | ||||
\(901\) | −0.895202 | + | 3.34094i | −0.0298235 | + | 0.111303i | ||||
\(902\) | −39.2103 | − | 33.5740i | −1.30556 | − | 1.11789i | ||||
\(903\) | −9.79857 | − | 5.63847i | −0.326076 | − | 0.187637i | ||||
\(904\) | 5.26407 | − | 1.24283i | 0.175080 | − | 0.0413358i | ||||
\(905\) | 25.6067 | − | 14.7840i | 0.851194 | − | 0.491437i | ||||
\(906\) | 14.4520 | − | 5.09730i | 0.480136 | − | 0.169347i | ||||
\(907\) | −18.5085 | + | 4.95935i | −0.614566 | + | 0.164672i | −0.552656 | − | 0.833409i | \(-0.686386\pi\) |
−0.0619098 | + | 0.998082i | \(0.519719\pi\) | |||||||
\(908\) | −1.84301 | + | 17.1211i | −0.0611624 | + | 0.568185i | ||||
\(909\) | 24.7454 | − | 24.7454i | 0.820752 | − | 0.820752i | ||||
\(910\) | 12.1299 | − | 25.4426i | 0.402103 | − | 0.843414i | ||||
\(911\) | − | 16.9566i | − | 0.561797i | −0.959737 | − | 0.280899i | \(-0.909368\pi\) | ||
0.959737 | − | 0.280899i | \(-0.0906325\pi\) | |||||||
\(912\) | −6.64390 | + | 7.30464i | −0.220002 | + | 0.241881i | ||||
\(913\) | 12.7088 | + | 7.33743i | 0.420600 | + | 0.242833i | ||||
\(914\) | −6.79970 | − | 3.25378i | −0.224914 | − | 0.107626i | ||||
\(915\) | 5.27386 | − | 19.6823i | 0.174348 | − | 0.650677i | ||||
\(916\) | 40.8813 | + | 29.8592i | 1.35075 | + | 0.986576i | ||||
\(917\) | 3.78158 | − | 14.1945i | 0.124879 | − | 0.468743i | ||||
\(918\) | −5.21356 | − | 4.46414i | −0.172073 | − | 0.147339i | ||||
\(919\) | 19.0403 | + | 32.9788i | 0.628083 | + | 1.08787i | 0.987936 | + | 0.154863i | \(0.0494935\pi\) |
−0.359853 | + | 0.933009i | \(0.617173\pi\) | |||||||
\(920\) | 20.1385 | − | 10.8362i | 0.663945 | − | 0.357259i | ||||
\(921\) | −22.6444 | − | 13.0737i | −0.746158 | − | 0.430794i | ||||
\(922\) | −4.56270 | − | 0.851577i | −0.150265 | − | 0.0280452i | ||||
\(923\) | 3.24442 | − | 3.24442i | 0.106791 | − | 0.106791i | ||||
\(924\) | 2.93332 | + | 18.6503i | 0.0964990 | + | 0.613550i | ||||
\(925\) | −23.2496 | − | 23.2496i | −0.764443 | − | 0.764443i | ||||
\(926\) | −17.8395 | + | 12.2278i | −0.586241 | + | 0.401829i | ||||
\(927\) | −9.42543 | + | 16.3253i | −0.309572 | + | 0.536194i | ||||
\(928\) | −33.8149 | + | 25.6112i | −1.11003 | + | 0.840730i | ||||
\(929\) | −3.92408 | + | 2.26557i | −0.128745 | + | 0.0743309i | −0.562989 | − | 0.826464i | \(-0.690349\pi\) |
0.434244 | + | 0.900795i | \(0.357015\pi\) | |||||||
\(930\) | −1.41202 | − | 18.2343i | −0.0463021 | − | 0.597927i | ||||
\(931\) | −5.59686 | + | 21.1302i | −0.183430 | + | 0.692513i | ||||
\(932\) | 4.79396 | + | 30.7680i | 0.157031 | + | 1.00784i | ||||
\(933\) | −19.2317 | − | 5.15311i | −0.629617 | − | 0.168705i | ||||
\(934\) | 40.0430 | − | 14.1234i | 1.31025 | − | 0.462131i | ||||
\(935\) | −10.1770 | + | 17.6270i | −0.332822 | + | 0.576464i | ||||
\(936\) | 0.383804 | − | 12.8114i | 0.0125450 | − | 0.418755i | ||||
\(937\) | 37.0969 | 1.21190 | 0.605952 | − | 0.795501i | \(-0.292792\pi\) | ||||
0.605952 | + | 0.795501i | \(0.292792\pi\) | |||||||
\(938\) | 1.54996 | − | 1.81543i | 0.0506080 | − | 0.0592758i | ||||
\(939\) | 4.72453 | + | 4.72453i | 0.154179 | + | 0.154179i | ||||
\(940\) | −1.37640 | + | 12.7864i | −0.0448931 | + | 0.417046i | ||||
\(941\) | 0.583589 | + | 2.17799i | 0.0190245 | + | 0.0710003i | 0.974785 | − | 0.223144i | \(-0.0716320\pi\) |
−0.955761 | + | 0.294144i | \(0.904965\pi\) | |||||||
\(942\) | −1.00562 | + | 2.10153i | −0.0327649 | + | 0.0684716i | ||||
\(943\) | −8.28076 | − | 14.3427i | −0.269659 | − | 0.467062i | ||||
\(944\) | 13.2401 | − | 25.6655i | 0.430928 | − | 0.835340i | ||||
\(945\) | −22.2483 | − | 38.4077i | −0.723736 | − | 1.24940i | ||||
\(946\) | 2.66368 | + | 34.3977i | 0.0866038 | + | 1.11837i | ||||
\(947\) | 15.7523 | + | 4.22082i | 0.511882 | + | 0.137158i | 0.505509 | − | 0.862821i | \(-0.331305\pi\) |
0.00637300 | + | 0.999980i | \(0.497971\pi\) | |||||||
\(948\) | 0.784895 | + | 1.77489i | 0.0254922 | + | 0.0576458i | ||||
\(949\) | −1.46136 | − | 5.45387i | −0.0474378 | − | 0.177040i | ||||
\(950\) | −45.9668 | − | 8.57919i | −1.49136 | − | 0.278346i | ||||
\(951\) | − | 15.1288i | − | 0.490585i | ||||||
\(952\) | −8.18980 | − | 2.44674i | −0.265433 | − | 0.0792992i | ||||
\(953\) | 27.9419i | 0.905126i | 0.891733 | + | 0.452563i | \(0.149490\pi\) | ||||
−0.891733 | + | 0.452563i | \(0.850510\pi\) | |||||||
\(954\) | −1.86613 | + | 9.99860i | −0.0604181 | + | 0.323716i | ||||
\(955\) | 27.7960 | + | 103.736i | 0.899456 | + | 3.35682i | ||||
\(956\) | 21.6811 | + | 8.38515i | 0.701216 | + | 0.271195i | ||||
\(957\) | −25.8430 | − | 6.92462i | −0.835387 | − | 0.223841i | ||||
\(958\) | −48.6071 | + | 3.76403i | −1.57043 | + | 0.121610i | ||||
\(959\) | −32.8860 | − | 18.9239i | −1.06194 | − | 0.611084i | ||||
\(960\) | −11.1678 | − | 22.3325i | −0.360438 | − | 0.720779i | ||||
\(961\) | 6.91607 | + | 11.9790i | 0.223099 | + | 0.386419i | ||||
\(962\) | 7.55800 | + | 3.61665i | 0.243680 | + | 0.116605i | ||||
\(963\) | −5.70700 | − | 21.2988i | −0.183906 | − | 0.686345i | ||||
\(964\) | −4.38132 | + | 3.52974i | −0.141113 | + | 0.113685i | ||||
\(965\) | −16.0901 | − | 16.0901i | −0.517960 | − | 0.517960i | ||||
\(966\) | −1.10277 | + | 5.95596i | −0.0354811 | + | 0.191630i | ||||
\(967\) | −47.4478 | −1.52582 | −0.762910 | − | 0.646505i | \(-0.776230\pi\) | ||||
−0.762910 | + | 0.646505i | \(0.776230\pi\) | |||||||
\(968\) | 19.2938 | − | 18.1714i | 0.620127 | − | 0.584052i | ||||
\(969\) | 1.40979 | − | 2.44183i | 0.0452890 | − | 0.0784428i | ||||
\(970\) | −15.6560 | − | 44.3882i | −0.502683 | − | 1.42522i | ||||
\(971\) | −31.6308 | − | 8.47546i | −1.01508 | − | 0.271990i | −0.287330 | − | 0.957832i | \(-0.592768\pi\) |
−0.727751 | + | 0.685841i | \(0.759434\pi\) | |||||||
\(972\) | −25.3964 | − | 18.5492i | −0.814590 | − | 0.594967i | ||||
\(973\) | 38.5957 | − | 38.7066i | 1.23732 | − | 1.24088i | ||||
\(974\) | −21.0129 | + | 1.62719i | −0.673296 | + | 0.0521385i | ||||
\(975\) | −13.8308 | + | 7.98523i | −0.442941 | + | 0.255732i | ||||
\(976\) | −14.1126 | − | 21.9725i | −0.451733 | − | 0.703321i | ||||
\(977\) | 15.9234 | − | 27.5802i | 0.509435 | − | 0.882368i | −0.490505 | − | 0.871438i | \(-0.663188\pi\) |
0.999940 | − | 0.0109296i | \(-0.00347908\pi\) | |||||||
\(978\) | −1.14004 | − | 1.66324i | −0.0364544 | − | 0.0531844i | ||||
\(979\) | −27.8711 | − | 27.8711i | −0.890763 | − | 0.890763i | ||||
\(980\) | −44.7302 | − | 32.4740i | −1.42885 | − | 1.03734i | ||||
\(981\) | 1.47742 | − | 1.47742i | 0.0471704 | − | 0.0471704i | ||||
\(982\) | 11.2008 | − | 60.0132i | 0.357432 | − | 1.91510i | ||||
\(983\) | 37.4979 | + | 21.6494i | 1.19600 | + | 0.690509i | 0.959660 | − | 0.281162i | \(-0.0907198\pi\) |
0.236337 | + | 0.971671i | \(0.424053\pi\) | |||||||
\(984\) | −15.9237 | + | 8.56833i | −0.507630 | + | 0.273148i | ||||
\(985\) | 35.6626 | + | 61.7695i | 1.13631 | + | 1.96814i | ||||
\(986\) | 7.87822 | − | 9.20078i | 0.250894 | − | 0.293013i | ||||
\(987\) | −2.41204 | − | 2.40513i | −0.0767762 | − | 0.0765562i | ||||
\(988\) | 11.7739 | − | 1.83449i | 0.374577 | − | 0.0583628i | ||||
\(989\) | −2.86486 | + | 10.6918i | −0.0910973 | + | 0.339980i | ||||
\(990\) | −25.8359 | + | 53.9914i | −0.821119 | + | 1.71596i | ||||
\(991\) | 16.4220 | + | 9.48127i | 0.521663 | + | 0.301183i | 0.737615 | − | 0.675222i | \(-0.235952\pi\) |
−0.215952 | + | 0.976404i | \(0.569285\pi\) | |||||||
\(992\) | −18.5052 | − | 14.3851i | −0.587539 | − | 0.456727i | ||||
\(993\) | 11.4262i | 0.362601i | ||||||||
\(994\) | −5.09786 | − | 7.41459i | −0.161694 | − | 0.235177i | ||||
\(995\) | 15.3755 | − | 15.3755i | 0.487436 | − | 0.487436i | ||||
\(996\) | 4.00312 | − | 3.22504i | 0.126844 | − | 0.102189i | ||||
\(997\) | 29.2330 | − | 7.83295i | 0.925818 | − | 0.248072i | 0.235747 | − | 0.971814i | \(-0.424246\pi\) |
0.690070 | + | 0.723742i | \(0.257580\pi\) | |||||||
\(998\) | 5.20589 | + | 14.7599i | 0.164789 | + | 0.467216i | ||||
\(999\) | 11.4267 | − | 6.59723i | 0.361526 | − | 0.208727i |
(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 | 112.2.v.a.3.6 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.8 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.5 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.27 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.28 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.5 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.6 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.7 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.8 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.8 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.8 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.5 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.7 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.8 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.8 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.7 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.8 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.27 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.8 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.5 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.28 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.7 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.6 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.6 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.6 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.5 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.5 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.6 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.8 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.8 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.8 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.8 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.27 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.195.28 | 56 | 7.4 | even | 3 | |||
784.2.j.a.587.27 | 56 | 112.11 | odd | 12 | |||
784.2.j.a.587.28 | 56 | 112.59 | even | 12 | |||
784.2.w.f.19.5 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.6 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.6 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.5 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.7 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.7 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.7 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.7 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.8 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.8 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.8 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.8 | 56 | 56.5 | odd | 6 |