Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(4,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.t (of order \(78\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 507.4 |
Dual form | 507.2.t.b.127.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{78}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.79660 | − | 0.0724007i | −1.27039 | − | 0.0511950i | −0.604113 | − | 0.796898i | \(-0.706473\pi\) |
−0.666278 | + | 0.745703i | \(0.732114\pi\) | |||||||
\(3\) | −0.278217 | + | 0.960518i | −0.160629 | + | 0.554555i | ||||
\(4\) | 1.22903 | + | 0.0992178i | 0.614516 | + | 0.0496089i | ||||
\(5\) | 1.73729 | + | 0.658868i | 0.776941 | + | 0.294655i | 0.711022 | − | 0.703170i | \(-0.248233\pi\) |
0.0659193 | + | 0.997825i | \(0.479002\pi\) | |||||||
\(6\) | 0.569389 | − | 1.70553i | 0.232452 | − | 0.696279i | ||||
\(7\) | 1.36244 | + | 3.19777i | 0.514954 | + | 1.20864i | 0.951133 | + | 0.308782i | \(0.0999213\pi\) |
−0.436179 | + | 0.899860i | \(0.643668\pi\) | |||||||
\(8\) | 1.36900 | + | 0.166227i | 0.484016 | + | 0.0587702i | ||||
\(9\) | −0.845190 | − | 0.534466i | −0.281730 | − | 0.178155i | ||||
\(10\) | −3.07353 | − | 1.30951i | −0.971934 | − | 0.414103i | ||||
\(11\) | 2.46967 | + | 3.90546i | 0.744632 | + | 1.17754i | 0.978695 | + | 0.205320i | \(0.0658235\pi\) |
−0.234063 | + | 0.972221i | \(0.575202\pi\) | |||||||
\(12\) | −0.437239 | + | 1.15290i | −0.126220 | + | 0.332815i | ||||
\(13\) | −3.37805 | − | 1.26048i | −0.936901 | − | 0.349594i | ||||
\(14\) | −2.21625 | − | 5.84376i | −0.592317 | − | 1.56181i | ||||
\(15\) | −1.11620 | + | 1.48539i | −0.288202 | + | 0.383527i | ||||
\(16\) | −4.88165 | − | 0.793346i | −1.22041 | − | 0.198336i | ||||
\(17\) | 4.77680 | − | 2.03520i | 1.15854 | − | 0.493609i | 0.274764 | − | 0.961512i | \(-0.411400\pi\) |
0.883780 | + | 0.467902i | \(0.154990\pi\) | |||||||
\(18\) | 1.47978 | + | 1.02142i | 0.348787 | + | 0.240750i | ||||
\(19\) | 4.15553 | − | 2.39920i | 0.953344 | − | 0.550414i | 0.0592260 | − | 0.998245i | \(-0.481137\pi\) |
0.894118 | + | 0.447831i | \(0.147803\pi\) | |||||||
\(20\) | 2.06982 | + | 0.982141i | 0.462825 | + | 0.219613i | ||||
\(21\) | −3.45057 | + | 0.418975i | −0.752975 | + | 0.0914278i | ||||
\(22\) | −4.15425 | − | 7.19538i | −0.885690 | − | 1.53406i | ||||
\(23\) | 0.442066 | − | 0.765680i | 0.0921771 | − | 0.159655i | −0.816250 | − | 0.577699i | \(-0.803951\pi\) |
0.908427 | + | 0.418044i | \(0.137284\pi\) | |||||||
\(24\) | −0.540545 | + | 1.26871i | −0.110338 | + | 0.258974i | ||||
\(25\) | −1.15847 | − | 1.02632i | −0.231695 | − | 0.205264i | ||||
\(26\) | 5.97775 | + | 2.50916i | 1.17233 | + | 0.492086i | ||||
\(27\) | 0.748511 | − | 0.663123i | 0.144051 | − | 0.127618i | ||||
\(28\) | 1.35721 | + | 4.06534i | 0.256488 | + | 0.768276i | ||||
\(29\) | −0.225646 | + | 5.59934i | −0.0419014 | + | 1.03977i | 0.832336 | + | 0.554272i | \(0.187003\pi\) |
−0.874237 | + | 0.485500i | \(0.838638\pi\) | |||||||
\(30\) | 2.11291 | − | 2.58785i | 0.385764 | − | 0.472475i | ||||
\(31\) | 2.03491 | + | 2.29694i | 0.365481 | + | 0.412543i | 0.902269 | − | 0.431175i | \(-0.141901\pi\) |
−0.536787 | + | 0.843718i | \(0.680362\pi\) | |||||||
\(32\) | 6.01058 | + | 1.22707i | 1.06253 | + | 0.216917i | ||||
\(33\) | −4.43837 | + | 1.28559i | −0.772621 | + | 0.223793i | ||||
\(34\) | −8.72937 | + | 3.31061i | −1.49707 | + | 0.567765i | ||||
\(35\) | 0.260052 | + | 6.45312i | 0.0439568 | + | 1.09078i | ||||
\(36\) | −0.985738 | − | 0.740734i | −0.164290 | − | 0.123456i | ||||
\(37\) | −10.1464 | + | 2.07141i | −1.66806 | + | 0.340538i | −0.939002 | − | 0.343910i | \(-0.888248\pi\) |
−0.729062 | + | 0.684448i | \(0.760043\pi\) | |||||||
\(38\) | −7.63955 | + | 4.00955i | −1.23930 | + | 0.650434i | ||||
\(39\) | 2.15055 | − | 2.89399i | 0.344363 | − | 0.463409i | ||||
\(40\) | 2.26884 | + | 1.19078i | 0.358735 | + | 0.188279i | ||||
\(41\) | 4.35141 | + | 1.26040i | 0.679576 | + | 0.196842i | 0.600015 | − | 0.799989i | \(-0.295161\pi\) |
0.0795605 | + | 0.996830i | \(0.474648\pi\) | |||||||
\(42\) | 6.22964 | − | 0.502908i | 0.961254 | − | 0.0776005i | ||||
\(43\) | −0.221516 | + | 1.08506i | −0.0337809 | + | 0.165470i | −0.993182 | − | 0.116576i | \(-0.962808\pi\) |
0.959401 | + | 0.282046i | \(0.0910131\pi\) | |||||||
\(44\) | 2.64781 | + | 5.04498i | 0.399172 | + | 0.760559i | ||||
\(45\) | −1.11620 | − | 1.48539i | −0.166393 | − | 0.221429i | ||||
\(46\) | −0.849653 | + | 1.34362i | −0.125275 | + | 0.198106i | ||||
\(47\) | −2.51231 | + | 1.73412i | −0.366457 | + | 0.252947i | −0.737036 | − | 0.675854i | \(-0.763775\pi\) |
0.370578 | + | 0.928801i | \(0.379160\pi\) | |||||||
\(48\) | 2.12018 | − | 4.46819i | 0.306022 | − | 0.644928i | ||||
\(49\) | −3.52039 | + | 3.66512i | −0.502913 | + | 0.523588i | ||||
\(50\) | 2.00702 | + | 1.92776i | 0.283835 | + | 0.272627i | ||||
\(51\) | 0.625861 | + | 5.15443i | 0.0876381 | + | 0.721765i | ||||
\(52\) | −4.02666 | − | 1.88433i | −0.558398 | − | 0.261310i | ||||
\(53\) | −1.00321 | + | 8.26221i | −0.137802 | + | 1.13490i | 0.745636 | + | 0.666353i | \(0.232146\pi\) |
−0.883438 | + | 0.468548i | \(0.844777\pi\) | |||||||
\(54\) | −1.39279 | + | 1.13718i | −0.189535 | + | 0.154750i | ||||
\(55\) | 1.71735 | + | 8.41212i | 0.231567 | + | 1.13429i | ||||
\(56\) | 1.33363 | + | 4.60423i | 0.178214 | + | 0.615266i | ||||
\(57\) | 1.14833 | + | 4.65896i | 0.152100 | + | 0.617094i | ||||
\(58\) | 0.810792 | − | 10.0435i | 0.106462 | − | 1.31877i | ||||
\(59\) | −1.55400 | − | 9.56212i | −0.202313 | − | 1.24488i | −0.867209 | − | 0.497945i | \(-0.834088\pi\) |
0.664896 | − | 0.746936i | \(-0.268476\pi\) | |||||||
\(60\) | −1.51922 | + | 1.71485i | −0.196131 | + | 0.221386i | ||||
\(61\) | −5.01491 | + | 3.76846i | −0.642093 | + | 0.482501i | −0.871219 | − | 0.490895i | \(-0.836670\pi\) |
0.229126 | + | 0.973397i | \(0.426413\pi\) | |||||||
\(62\) | −3.48963 | − | 4.27403i | −0.443184 | − | 0.542802i | ||||
\(63\) | 0.557575 | − | 3.43090i | 0.0702479 | − | 0.432253i | ||||
\(64\) | −1.10583 | − | 0.272563i | −0.138229 | − | 0.0340704i | ||||
\(65\) | −5.03816 | − | 4.41551i | −0.624907 | − | 0.547677i | ||||
\(66\) | 8.06708 | − | 1.98836i | 0.992989 | − | 0.244750i | ||||
\(67\) | 0.331435 | + | 4.10556i | 0.0404912 | + | 0.501573i | 0.984938 | + | 0.172909i | \(0.0553166\pi\) |
−0.944447 | + | 0.328665i | \(0.893401\pi\) | |||||||
\(68\) | 6.07277 | − | 2.02739i | 0.736431 | − | 0.245857i | ||||
\(69\) | 0.612459 | + | 0.637638i | 0.0737314 | + | 0.0767626i | ||||
\(70\) | − | 11.6125i | − | 1.38796i | ||||||
\(71\) | 0.0431256 | − | 0.0414227i | 0.00511807 | − | 0.00491597i | −0.690161 | − | 0.723656i | \(-0.742460\pi\) |
0.695279 | + | 0.718740i | \(0.255281\pi\) | |||||||
\(72\) | −1.06823 | − | 0.872180i | −0.125892 | − | 0.102787i | ||||
\(73\) | 1.09734 | − | 2.09081i | 0.128434 | − | 0.244710i | −0.812745 | − | 0.582620i | \(-0.802028\pi\) |
0.941179 | + | 0.337910i | \(0.109720\pi\) | |||||||
\(74\) | 18.3791 | − | 2.98690i | 2.13653 | − | 0.347220i | ||||
\(75\) | 1.30811 | − | 0.827196i | 0.151047 | − | 0.0955164i | ||||
\(76\) | 5.34533 | − | 2.53639i | 0.613151 | − | 0.290944i | ||||
\(77\) | −9.12398 | + | 13.2184i | −1.03977 | + | 1.50637i | ||||
\(78\) | −4.07321 | + | 5.04365i | −0.461200 | + | 0.571081i | ||||
\(79\) | 5.17923 | + | 7.50342i | 0.582709 | + | 0.844200i | 0.997849 | − | 0.0655576i | \(-0.0208826\pi\) |
−0.415139 | + | 0.909758i | \(0.636267\pi\) | |||||||
\(80\) | −7.95815 | − | 4.59464i | −0.889748 | − | 0.513696i | ||||
\(81\) | 0.428693 | + | 0.903450i | 0.0476325 | + | 0.100383i | ||||
\(82\) | −7.72651 | − | 2.57949i | −0.853250 | − | 0.284857i | ||||
\(83\) | 0.824219 | − | 3.34399i | 0.0904698 | − | 0.367050i | −0.908204 | − | 0.418527i | \(-0.862547\pi\) |
0.998674 | + | 0.0514765i | \(0.0163927\pi\) | |||||||
\(84\) | −4.28243 | + | 0.172576i | −0.467251 | + | 0.0188296i | ||||
\(85\) | 9.63963 | − | 0.388464i | 1.04556 | − | 0.0421348i | ||||
\(86\) | 0.476536 | − | 1.93338i | 0.0513862 | − | 0.208482i | ||||
\(87\) | −5.31549 | − | 1.77457i | −0.569880 | − | 0.190254i | ||||
\(88\) | 2.73179 | + | 5.75712i | 0.291210 | + | 0.613711i | ||||
\(89\) | 9.75400 | + | 5.63147i | 1.03392 | + | 0.596935i | 0.918106 | − | 0.396336i | \(-0.129718\pi\) |
0.115816 | + | 0.993271i | \(0.463052\pi\) | |||||||
\(90\) | 1.89783 | + | 2.74948i | 0.200049 | + | 0.289820i | ||||
\(91\) | −0.571665 | − | 12.5195i | −0.0599268 | − | 1.31240i | ||||
\(92\) | 0.619282 | − | 0.897185i | 0.0645646 | − | 0.0935380i | ||||
\(93\) | −2.77240 | + | 1.31552i | −0.287485 | + | 0.136413i | ||||
\(94\) | 4.63917 | − | 2.93363i | 0.478494 | − | 0.302581i | ||||
\(95\) | 8.80013 | − | 1.43016i | 0.902874 | − | 0.146731i | ||||
\(96\) | −2.85087 | + | 5.43188i | −0.290966 | + | 0.554389i | ||||
\(97\) | −7.24203 | − | 5.91294i | −0.735317 | − | 0.600368i | 0.189007 | − | 0.981976i | \(-0.439473\pi\) |
−0.924324 | + | 0.381608i | \(0.875370\pi\) | |||||||
\(98\) | 6.59011 | − | 6.32989i | 0.665702 | − | 0.639415i | ||||
\(99\) | − | 4.62081i | − | 0.464409i | ||||||
\(100\) | −1.32197 | − | 1.37632i | −0.132197 | − | 0.137632i | ||||
\(101\) | −1.36405 | + | 0.455387i | −0.135728 | + | 0.0453127i | −0.383720 | − | 0.923449i | \(-0.625357\pi\) |
0.247992 | + | 0.968762i | \(0.420229\pi\) | |||||||
\(102\) | −0.751241 | − | 9.30579i | −0.0743839 | − | 0.921410i | ||||
\(103\) | 3.30217 | − | 0.813912i | 0.325372 | − | 0.0801971i | −0.0732462 | − | 0.997314i | \(-0.523336\pi\) |
0.398619 | + | 0.917117i | \(0.369490\pi\) | |||||||
\(104\) | −4.41503 | − | 2.28713i | −0.432929 | − | 0.224271i | ||||
\(105\) | −6.27069 | − | 1.54559i | −0.611957 | − | 0.150834i | ||||
\(106\) | 2.40057 | − | 14.7713i | 0.233164 | − | 1.43471i | ||||
\(107\) | −5.89021 | − | 7.21419i | −0.569428 | − | 0.697422i | 0.406960 | − | 0.913446i | \(-0.366589\pi\) |
−0.976388 | + | 0.216023i | \(0.930691\pi\) | |||||||
\(108\) | 0.985738 | − | 0.740734i | 0.0948526 | − | 0.0712771i | ||||
\(109\) | 7.84499 | − | 8.85516i | 0.751414 | − | 0.848171i | −0.241075 | − | 0.970506i | \(-0.577500\pi\) |
0.992489 | + | 0.122336i | \(0.0390385\pi\) | |||||||
\(110\) | −2.47635 | − | 15.2376i | −0.236111 | − | 1.45285i | ||||
\(111\) | 0.833289 | − | 10.3221i | 0.0790923 | − | 0.979734i | ||||
\(112\) | −4.11403 | − | 16.6913i | −0.388739 | − | 1.57718i | ||||
\(113\) | −3.29039 | − | 11.3598i | −0.309534 | − | 1.06864i | −0.952952 | − | 0.303121i | \(-0.901971\pi\) |
0.643418 | − | 0.765515i | \(-0.277516\pi\) | |||||||
\(114\) | −1.72578 | − | 8.45345i | −0.161635 | − | 0.791738i | ||||
\(115\) | 1.27248 | − | 1.03895i | 0.118659 | − | 0.0968824i | ||||
\(116\) | −0.832880 | + | 6.85938i | −0.0773310 | + | 0.636878i | ||||
\(117\) | 2.18141 | + | 2.87080i | 0.201671 | + | 0.265405i | ||||
\(118\) | 2.09961 | + | 17.2919i | 0.193285 | + | 1.59184i | ||||
\(119\) | 13.0162 | + | 12.5022i | 1.19319 | + | 1.14608i | ||||
\(120\) | −1.77500 | + | 1.84797i | −0.162034 | + | 0.168695i | ||||
\(121\) | −4.43778 | + | 9.35242i | −0.403434 | + | 0.850220i | ||||
\(122\) | 9.28264 | − | 6.40734i | 0.840411 | − | 0.580094i | ||||
\(123\) | −2.42128 | + | 3.82894i | −0.218319 | + | 0.345244i | ||||
\(124\) | 2.27308 | + | 3.02492i | 0.204128 | + | 0.271645i | ||||
\(125\) | −5.65376 | − | 10.7723i | −0.505688 | − | 0.963507i | ||||
\(126\) | −1.25014 | + | 6.12360i | −0.111371 | + | 0.545534i | ||||
\(127\) | −20.1401 | + | 1.62588i | −1.78715 | + | 0.144273i | −0.929227 | − | 0.369510i | \(-0.879526\pi\) |
−0.857920 | + | 0.513783i | \(0.828243\pi\) | |||||||
\(128\) | −9.81770 | − | 2.84373i | −0.867770 | − | 0.251353i | ||||
\(129\) | −0.980587 | − | 0.514652i | −0.0863359 | − | 0.0453126i | ||||
\(130\) | 8.73190 | + | 8.29769i | 0.765838 | + | 0.727756i | ||||
\(131\) | 1.44657 | − | 0.759220i | 0.126388 | − | 0.0663334i | −0.400344 | − | 0.916365i | \(-0.631109\pi\) |
0.526732 | + | 0.850031i | \(0.323417\pi\) | |||||||
\(132\) | −5.58246 | + | 1.13967i | −0.485890 | + | 0.0991952i | ||||
\(133\) | 13.3337 | + | 10.0197i | 1.15618 | + | 0.868814i | ||||
\(134\) | −0.298212 | − | 7.40006i | −0.0257616 | − | 0.639268i | ||||
\(135\) | 1.73729 | − | 0.658868i | 0.149522 | − | 0.0567064i | ||||
\(136\) | 6.87776 | − | 1.99217i | 0.589763 | − | 0.170827i | ||||
\(137\) | 21.1039 | + | 4.30839i | 1.80303 | + | 0.368091i | 0.979856 | − | 0.199703i | \(-0.0639978\pi\) |
0.823171 | + | 0.567794i | \(0.192203\pi\) | |||||||
\(138\) | −1.05418 | − | 1.18993i | −0.0897379 | − | 0.101293i | ||||
\(139\) | 11.8901 | − | 14.5627i | 1.00851 | − | 1.23519i | 0.0367203 | − | 0.999326i | \(-0.488309\pi\) |
0.971785 | − | 0.235869i | \(-0.0757936\pi\) | |||||||
\(140\) | −0.320652 | + | 7.95690i | −0.0271001 | + | 0.672481i | ||||
\(141\) | −0.966686 | − | 2.89558i | −0.0814096 | − | 0.243852i | ||||
\(142\) | −0.0804787 | + | 0.0712979i | −0.00675363 | + | 0.00598319i | ||||
\(143\) | −3.41988 | − | 16.3058i | −0.285985 | − | 1.36356i | ||||
\(144\) | 3.70191 | + | 3.27960i | 0.308492 | + | 0.273300i | ||||
\(145\) | −4.08124 | + | 9.57902i | −0.338929 | + | 0.795495i | ||||
\(146\) | −2.12286 | + | 3.67691i | −0.175689 | + | 0.304303i | ||||
\(147\) | −2.54098 | − | 4.40110i | −0.209576 | − | 0.362997i | ||||
\(148\) | −12.6758 | + | 1.53912i | −1.04195 | + | 0.126515i | ||||
\(149\) | −13.1738 | − | 6.25103i | −1.07924 | − | 0.512104i | −0.195795 | − | 0.980645i | \(-0.562729\pi\) |
−0.883442 | + | 0.468541i | \(0.844780\pi\) | |||||||
\(150\) | −2.41004 | + | 1.39144i | −0.196779 | + | 0.113610i | ||||
\(151\) | −14.0646 | − | 9.70807i | −1.14456 | − | 0.790032i | −0.164039 | − | 0.986454i | \(-0.552452\pi\) |
−0.980519 | + | 0.196422i | \(0.937068\pi\) | |||||||
\(152\) | 6.08775 | − | 2.59375i | 0.493782 | − | 0.210381i | ||||
\(153\) | −5.12505 | − | 0.832902i | −0.414336 | − | 0.0673361i | ||||
\(154\) | 17.3492 | − | 23.0876i | 1.39804 | − | 1.86045i | ||||
\(155\) | 2.02186 | + | 5.33120i | 0.162400 | + | 0.428212i | ||||
\(156\) | 2.93022 | − | 3.34343i | 0.234606 | − | 0.267689i | ||||
\(157\) | −6.20449 | + | 16.3599i | −0.495173 | + | 1.30566i | 0.421792 | + | 0.906693i | \(0.361401\pi\) |
−0.916964 | + | 0.398970i | \(0.869368\pi\) | |||||||
\(158\) | −8.76178 | − | 13.8557i | −0.697050 | − | 1.10230i | ||||
\(159\) | −7.65689 | − | 3.26230i | −0.607231 | − | 0.258717i | ||||
\(160\) | 9.63366 | + | 6.09196i | 0.761608 | + | 0.481612i | ||||
\(161\) | 3.05075 | + | 0.370429i | 0.240433 | + | 0.0291939i | ||||
\(162\) | −0.704781 | − | 1.65418i | −0.0553728 | − | 0.129965i | ||||
\(163\) | −0.941616 | + | 2.82048i | −0.0737530 | + | 0.220917i | −0.978959 | − | 0.204055i | \(-0.934588\pi\) |
0.905206 | + | 0.424972i | \(0.139716\pi\) | |||||||
\(164\) | 5.22297 | + | 1.98081i | 0.407845 | + | 0.154675i | ||||
\(165\) | −8.55779 | − | 0.690856i | −0.666223 | − | 0.0537831i | ||||
\(166\) | −1.72290 | + | 5.94815i | −0.133723 | + | 0.461666i | ||||
\(167\) | −15.0296 | − | 0.605673i | −1.16303 | − | 0.0468684i | −0.548769 | − | 0.835974i | \(-0.684903\pi\) |
−0.614258 | + | 0.789106i | \(0.710544\pi\) | |||||||
\(168\) | −4.79349 | −0.369825 | ||||||||
\(169\) | 9.82238 | + | 8.51592i | 0.755568 | + | 0.655071i | ||||
\(170\) | −17.3467 | −1.33043 | ||||||||
\(171\) | −4.79450 | − | 0.193212i | −0.366645 | − | 0.0147753i | ||||
\(172\) | −0.379907 | + | 1.31159i | −0.0289677 | + | 0.100008i | ||||
\(173\) | 16.7032 | + | 1.34842i | 1.26992 | + | 0.102519i | 0.696989 | − | 0.717082i | \(-0.254523\pi\) |
0.572935 | + | 0.819601i | \(0.305805\pi\) | |||||||
\(174\) | 9.42135 | + | 3.57305i | 0.714231 | + | 0.270872i | ||||
\(175\) | 1.70358 | − | 5.10283i | 0.128778 | − | 0.385738i | ||||
\(176\) | −8.95766 | − | 21.0244i | −0.675209 | − | 1.58477i | ||||
\(177\) | 9.61693 | + | 1.16771i | 0.722853 | + | 0.0877702i | ||||
\(178\) | −17.1164 | − | 10.8237i | −1.28292 | − | 0.811273i | ||||
\(179\) | −10.1411 | − | 4.32071i | −0.757980 | − | 0.322945i | −0.0218285 | − | 0.999762i | \(-0.506949\pi\) |
−0.736152 | + | 0.676817i | \(0.763359\pi\) | |||||||
\(180\) | −1.22447 | − | 1.93634i | −0.0912665 | − | 0.144326i | ||||
\(181\) | 3.18127 | − | 8.38832i | 0.236462 | − | 0.623499i | −0.763284 | − | 0.646064i | \(-0.776414\pi\) |
0.999745 | + | 0.0225650i | \(0.00718329\pi\) | |||||||
\(182\) | 0.120633 | + | 22.5340i | 0.00894192 | + | 1.67033i | ||||
\(183\) | −2.22444 | − | 5.86536i | −0.164435 | − | 0.433580i | ||||
\(184\) | 0.732467 | − | 0.974736i | 0.0539982 | − | 0.0718585i | ||||
\(185\) | −18.9921 | − | 3.08652i | −1.39633 | − | 0.226925i | ||||
\(186\) | 5.07616 | − | 2.16275i | 0.372202 | − | 0.158580i | ||||
\(187\) | 19.7455 | + | 13.6293i | 1.44393 | + | 0.996676i | ||||
\(188\) | −3.25976 | + | 1.88202i | −0.237742 | + | 0.137261i | ||||
\(189\) | 3.14031 | + | 1.49010i | 0.228424 | + | 0.108389i | ||||
\(190\) | −15.9139 | + | 1.93230i | −1.15452 | + | 0.140184i | ||||
\(191\) | 10.0780 | + | 17.4556i | 0.729216 | + | 1.26304i | 0.957215 | + | 0.289378i | \(0.0934486\pi\) |
−0.227998 | + | 0.973662i | \(0.573218\pi\) | |||||||
\(192\) | 0.569463 | − | 0.986339i | 0.0410974 | − | 0.0711829i | ||||
\(193\) | −1.89454 | + | 4.44666i | −0.136372 | + | 0.320077i | −0.974139 | − | 0.225952i | \(-0.927451\pi\) |
0.837766 | + | 0.546029i | \(0.183861\pi\) | |||||||
\(194\) | 12.5830 | + | 11.1475i | 0.903404 | + | 0.800347i | ||||
\(195\) | 5.64288 | − | 3.61077i | 0.404095 | − | 0.258573i | ||||
\(196\) | −4.69032 | + | 4.15526i | −0.335023 | + | 0.296804i | ||||
\(197\) | 6.54691 | + | 19.6104i | 0.466448 | + | 1.39718i | 0.874856 | + | 0.484383i | \(0.160956\pi\) |
−0.408408 | + | 0.912799i | \(0.633916\pi\) | |||||||
\(198\) | −0.334550 | + | 8.30177i | −0.0237754 | + | 0.589981i | ||||
\(199\) | 10.6981 | − | 13.1028i | 0.758367 | − | 0.928831i | −0.240761 | − | 0.970584i | \(-0.577397\pi\) |
0.999128 | + | 0.0417537i | \(0.0132945\pi\) | |||||||
\(200\) | −1.41535 | − | 1.59761i | −0.100081 | − | 0.112968i | ||||
\(201\) | −4.03567 | − | 0.823888i | −0.284654 | − | 0.0581126i | ||||
\(202\) | 2.48363 | − | 0.719392i | 0.174747 | − | 0.0506162i | ||||
\(203\) | −18.2128 | + | 6.90721i | −1.27829 | + | 0.484791i | ||||
\(204\) | 0.257793 | + | 6.39706i | 0.0180491 | + | 0.447884i | ||||
\(205\) | 6.72923 | + | 5.05669i | 0.469990 | + | 0.353175i | ||||
\(206\) | −5.99162 | + | 1.22320i | −0.417456 | + | 0.0852243i | ||||
\(207\) | −0.782860 | + | 0.410876i | −0.0544125 | + | 0.0285579i | ||||
\(208\) | 15.4904 | + | 8.83318i | 1.07407 | + | 0.612471i | ||||
\(209\) | 19.6327 | + | 10.3041i | 1.35803 | + | 0.712747i | ||||
\(210\) | 11.1541 | + | 3.23081i | 0.769703 | + | 0.222947i | ||||
\(211\) | 16.8422 | − | 1.35964i | 1.15946 | − | 0.0936015i | 0.514275 | − | 0.857626i | \(-0.328061\pi\) |
0.645188 | + | 0.764024i | \(0.276779\pi\) | |||||||
\(212\) | −2.05274 | + | 10.0550i | −0.140983 | + | 0.690579i | ||||
\(213\) | 0.0277890 | + | 0.0529475i | 0.00190407 | + | 0.00362790i | ||||
\(214\) | 10.0601 | + | 13.3875i | 0.687692 | + | 0.915151i | ||||
\(215\) | −1.09975 | + | 1.73911i | −0.0750022 | + | 0.118606i | ||||
\(216\) | 1.13494 | − | 0.783395i | 0.0772231 | − | 0.0533033i | ||||
\(217\) | −4.57264 | + | 9.63662i | −0.310411 | + | 0.654177i | ||||
\(218\) | −14.7355 | + | 15.3412i | −0.998012 | + | 1.03904i | ||||
\(219\) | 1.70296 | + | 1.63571i | 0.115075 | + | 0.110531i | ||||
\(220\) | 1.27604 | + | 10.5092i | 0.0860308 | + | 0.708527i | ||||
\(221\) | −18.7016 | + | 0.853948i | −1.25800 | + | 0.0574428i | ||||
\(222\) | −2.24442 | + | 18.4845i | −0.150636 | + | 1.24060i | ||||
\(223\) | 22.0466 | − | 18.0005i | 1.47635 | − | 1.20540i | 0.546503 | − | 0.837457i | \(-0.315959\pi\) |
0.929847 | − | 0.367946i | \(-0.119939\pi\) | |||||||
\(224\) | 4.26518 | + | 20.8922i | 0.284979 | + | 1.39592i | ||||
\(225\) | 0.430599 | + | 1.48660i | 0.0287066 | + | 0.0991067i | ||||
\(226\) | 5.08908 | + | 20.6472i | 0.338521 | + | 1.37343i | ||||
\(227\) | −0.204252 | + | 2.53011i | −0.0135567 | + | 0.167930i | 0.986436 | + | 0.164145i | \(0.0524866\pi\) |
−0.999993 | + | 0.00378422i | \(0.998795\pi\) | |||||||
\(228\) | 0.949084 | + | 5.83995i | 0.0628546 | + | 0.386760i | ||||
\(229\) | 18.2346 | − | 20.5826i | 1.20498 | − | 1.36014i | 0.289802 | − | 0.957087i | \(-0.406411\pi\) |
0.915177 | − | 0.403053i | \(-0.132051\pi\) | |||||||
\(230\) | −2.36136 | + | 1.77445i | −0.155704 | + | 0.117004i | ||||
\(231\) | −10.1580 | − | 12.4413i | −0.668350 | − | 0.818580i | ||||
\(232\) | −1.23967 | + | 7.62801i | −0.0813885 | + | 0.500804i | ||||
\(233\) | −15.6222 | − | 3.85052i | −1.02344 | − | 0.252256i | −0.308340 | − | 0.951276i | \(-0.599774\pi\) |
−0.715102 | + | 0.699020i | \(0.753620\pi\) | |||||||
\(234\) | −3.71128 | − | 5.31562i | −0.242614 | − | 0.347493i | ||||
\(235\) | −5.50717 | + | 1.35739i | −0.359248 | + | 0.0885467i | ||||
\(236\) | −0.961179 | − | 11.9063i | −0.0625674 | − | 0.775036i | ||||
\(237\) | −8.64812 | + | 2.88717i | −0.561756 | + | 0.187542i | ||||
\(238\) | −22.4798 | − | 23.4040i | −1.45715 | − | 1.51705i | ||||
\(239\) | − | 7.96528i | − | 0.515231i | −0.966248 | − | 0.257616i | \(-0.917063\pi\) | ||
0.966248 | − | 0.257616i | \(-0.0829368\pi\) | |||||||
\(240\) | 6.62733 | − | 6.36564i | 0.427792 | − | 0.410900i | ||||
\(241\) | 5.15758 | + | 4.21103i | 0.332229 | + | 0.271256i | 0.783846 | − | 0.620956i | \(-0.213255\pi\) |
−0.451617 | + | 0.892212i | \(0.649153\pi\) | |||||||
\(242\) | 8.65005 | − | 16.4813i | 0.556046 | − | 1.05946i | ||||
\(243\) | −0.987050 | + | 0.160411i | −0.0633193 | + | 0.0102904i | ||||
\(244\) | −6.53738 | + | 4.13399i | −0.418513 | + | 0.264651i | ||||
\(245\) | −8.53078 | + | 4.04791i | −0.545012 | + | 0.258611i | ||||
\(246\) | 4.62729 | − | 6.70379i | 0.295025 | − | 0.427418i | ||||
\(247\) | −17.0617 | + | 2.86663i | −1.08561 | + | 0.182399i | ||||
\(248\) | 2.40399 | + | 3.48278i | 0.152654 | + | 0.221157i | ||||
\(249\) | 2.98265 | + | 1.72203i | 0.189018 | + | 0.109129i | ||||
\(250\) | 9.37765 | + | 19.7630i | 0.593095 | + | 1.24992i | ||||
\(251\) | 4.66645 | + | 1.55789i | 0.294544 | + | 0.0983331i | 0.460100 | − | 0.887867i | \(-0.347814\pi\) |
−0.165556 | + | 0.986200i | \(0.552942\pi\) | |||||||
\(252\) | 1.02568 | − | 4.16136i | 0.0646120 | − | 0.262141i | ||||
\(253\) | 4.08209 | − | 0.164503i | 0.256639 | − | 0.0103422i | ||||
\(254\) | 36.3016 | − | 1.46290i | 2.27776 | − | 0.0917907i | ||||
\(255\) | −2.30879 | + | 9.36711i | −0.144582 | + | 0.586591i | ||||
\(256\) | 19.5933 | + | 6.54119i | 1.22458 | + | 0.408824i | ||||
\(257\) | 6.69604 | + | 14.1116i | 0.417688 | + | 0.880258i | 0.997836 | + | 0.0657473i | \(0.0209431\pi\) |
−0.580149 | + | 0.814511i | \(0.697006\pi\) | |||||||
\(258\) | 1.72447 | + | 0.995621i | 0.107361 | + | 0.0619847i | ||||
\(259\) | −20.4478 | − | 29.6238i | −1.27056 | − | 1.84073i | ||||
\(260\) | −5.75397 | − | 5.92668i | −0.356846 | − | 0.367557i | ||||
\(261\) | 3.18337 | − | 4.61191i | 0.197046 | − | 0.285470i | ||||
\(262\) | −2.65389 | + | 1.25929i | −0.163958 | + | 0.0777989i | ||||
\(263\) | 20.2072 | − | 12.7783i | 1.24603 | − | 0.787942i | 0.261849 | − | 0.965109i | \(-0.415668\pi\) |
0.984181 | + | 0.177167i | \(0.0566934\pi\) | |||||||
\(264\) | −6.28985 | + | 1.02220i | −0.387113 | + | 0.0629121i | ||||
\(265\) | −7.18658 | + | 13.6929i | −0.441468 | + | 0.841147i | ||||
\(266\) | −23.2300 | − | 18.9667i | −1.42432 | − | 1.16292i | ||||
\(267\) | −8.12286 | + | 7.80212i | −0.497111 | + | 0.477482i | ||||
\(268\) | 5.07874i | 0.310234i | ||||||||
\(269\) | 4.47415 | + | 4.65809i | 0.272794 | + | 0.284009i | 0.843481 | − | 0.537159i | \(-0.180503\pi\) |
−0.570687 | + | 0.821168i | \(0.693323\pi\) | |||||||
\(270\) | −3.16893 | + | 1.05794i | −0.192855 | + | 0.0643845i | ||||
\(271\) | 1.02546 | + | 12.7026i | 0.0622924 | + | 0.771629i | 0.950207 | + | 0.311620i | \(0.100872\pi\) |
−0.887914 | + | 0.460009i | \(0.847846\pi\) | |||||||
\(272\) | −24.9333 | + | 6.14550i | −1.51180 | + | 0.372626i | ||||
\(273\) | 12.1843 | + | 2.93406i | 0.737426 | + | 0.177577i | ||||
\(274\) | −37.6034 | − | 9.26841i | −2.27171 | − | 0.559925i | ||||
\(275\) | 1.14721 | − | 7.05905i | 0.0691792 | − | 0.425676i | ||||
\(276\) | 0.689467 | + | 0.844444i | 0.0415011 | + | 0.0508296i | ||||
\(277\) | −13.7537 | + | 10.3352i | −0.826377 | + | 0.620982i | −0.927471 | − | 0.373895i | \(-0.878022\pi\) |
0.101094 | + | 0.994877i | \(0.467766\pi\) | |||||||
\(278\) | −22.4162 | + | 25.3026i | −1.34443 | + | 1.51755i | ||||
\(279\) | −0.492251 | − | 3.02894i | −0.0294703 | − | 0.181338i | ||||
\(280\) | −0.716673 | + | 8.87758i | −0.0428294 | + | 0.530537i | ||||
\(281\) | −3.17336 | − | 12.8748i | −0.189307 | − | 0.768047i | −0.986423 | − | 0.164222i | \(-0.947489\pi\) |
0.797117 | − | 0.603825i | \(-0.206358\pi\) | |||||||
\(282\) | 1.52711 | + | 5.27220i | 0.0909381 | + | 0.313955i | ||||
\(283\) | 1.45699 | + | 7.13679i | 0.0866088 | + | 0.424238i | 0.999858 | + | 0.0168372i | \(0.00535969\pi\) |
−0.913249 | + | 0.407401i | \(0.866435\pi\) | |||||||
\(284\) | 0.0571127 | − | 0.0466310i | 0.00338901 | − | 0.00276704i | ||||
\(285\) | −1.07465 | + | 8.85058i | −0.0636571 | + | 0.524263i | ||||
\(286\) | 4.96362 | + | 29.5427i | 0.293505 | + | 1.74689i | ||||
\(287\) | 1.89807 | + | 15.6320i | 0.112039 | + | 0.922728i | ||||
\(288\) | −4.42426 | − | 4.24956i | −0.260702 | − | 0.250408i | ||||
\(289\) | 6.89943 | − | 7.18307i | 0.405849 | − | 0.422534i | ||||
\(290\) | 8.02590 | − | 16.9142i | 0.471297 | − | 0.993238i | ||||
\(291\) | 7.69434 | − | 5.31102i | 0.451050 | − | 0.311338i | ||||
\(292\) | 1.55611 | − | 2.46079i | 0.0910645 | − | 0.144007i | ||||
\(293\) | −13.2905 | − | 17.6865i | −0.776440 | − | 1.03325i | −0.998306 | − | 0.0581765i | \(-0.981471\pi\) |
0.221867 | − | 0.975077i | \(-0.428785\pi\) | |||||||
\(294\) | 4.24649 | + | 8.09101i | 0.247660 | + | 0.471877i | ||||
\(295\) | 3.60043 | − | 17.6361i | 0.209625 | − | 1.02681i | ||||
\(296\) | −14.2348 | + | 1.14915i | −0.827383 | + | 0.0667933i | ||||
\(297\) | 4.43837 | + | 1.28559i | 0.257540 | + | 0.0745975i | ||||
\(298\) | 23.2155 | + | 12.1844i | 1.34484 | + | 0.705824i | ||||
\(299\) | −2.45844 | + | 2.02929i | −0.142175 | + | 0.117357i | ||||
\(300\) | 1.68978 | − | 0.886864i | 0.0975593 | − | 0.0512031i | ||||
\(301\) | −3.77156 | + | 0.769970i | −0.217389 | + | 0.0443803i | ||||
\(302\) | 24.5656 | + | 18.4599i | 1.41359 | + | 1.06225i | ||||
\(303\) | −0.0579047 | − | 1.43689i | −0.00332654 | − | 0.0825472i | ||||
\(304\) | −22.1892 | + | 8.41527i | −1.27264 | + | 0.482649i | ||||
\(305\) | −11.1953 | + | 3.24275i | −0.641040 | + | 0.185679i | ||||
\(306\) | 9.14739 | + | 1.86745i | 0.522921 | + | 0.106755i | ||||
\(307\) | 3.46479 | + | 3.91093i | 0.197746 | + | 0.223209i | 0.839017 | − | 0.544106i | \(-0.183131\pi\) |
−0.641271 | + | 0.767315i | \(0.721593\pi\) | |||||||
\(308\) | −12.5252 | + | 15.3405i | −0.713688 | + | 0.874109i | ||||
\(309\) | −0.136944 | + | 3.39824i | −0.00779049 | + | 0.193319i | ||||
\(310\) | −3.24650 | − | 9.72445i | −0.184389 | − | 0.552311i | ||||
\(311\) | 6.51133 | − | 5.76854i | 0.369224 | − | 0.327104i | −0.458025 | − | 0.888939i | \(-0.651443\pi\) |
0.827249 | + | 0.561835i | \(0.189905\pi\) | |||||||
\(312\) | 3.42516 | − | 3.60440i | 0.193912 | − | 0.204059i | ||||
\(313\) | −12.0896 | − | 10.7104i | −0.683344 | − | 0.605390i | 0.248334 | − | 0.968674i | \(-0.420117\pi\) |
−0.931678 | + | 0.363285i | \(0.881655\pi\) | |||||||
\(314\) | 12.3315 | − | 28.9431i | 0.695906 | − | 1.63335i | ||||
\(315\) | 3.22918 | − | 5.59311i | 0.181944 | − | 0.315136i | ||||
\(316\) | 5.62097 | + | 9.73581i | 0.316204 | + | 0.547682i | ||||
\(317\) | 17.0419 | − | 2.06926i | 0.957170 | − | 0.116221i | 0.372981 | − | 0.927839i | \(-0.378336\pi\) |
0.584189 | + | 0.811618i | \(0.301413\pi\) | |||||||
\(318\) | 13.5202 | + | 6.41542i | 0.758176 | + | 0.359759i | ||||
\(319\) | −22.4253 | + | 12.9472i | −1.25558 | + | 0.724907i | ||||
\(320\) | −1.74157 | − | 1.20212i | −0.0973567 | − | 0.0672005i | ||||
\(321\) | 8.56812 | − | 3.65054i | 0.478226 | − | 0.203753i | ||||
\(322\) | −5.45418 | − | 0.886391i | −0.303950 | − | 0.0493966i | ||||
\(323\) | 14.9673 | − | 19.9178i | 0.832802 | − | 1.10826i | ||||
\(324\) | 0.437239 | + | 1.15290i | 0.0242910 | + | 0.0640502i | ||||
\(325\) | 2.61973 | + | 4.92719i | 0.145316 | + | 0.273311i | ||||
\(326\) | 1.89592 | − | 4.99912i | 0.105005 | − | 0.276876i | ||||
\(327\) | 6.32293 | + | 9.99892i | 0.349659 | + | 0.552941i | ||||
\(328\) | 5.74758 | + | 2.44882i | 0.317357 | + | 0.135213i | ||||
\(329\) | −8.96818 | − | 5.67113i | −0.494432 | − | 0.312660i | ||||
\(330\) | 15.3249 | + | 1.86078i | 0.843610 | + | 0.102433i | ||||
\(331\) | 5.59407 | + | 13.1298i | 0.307478 | + | 0.721677i | 1.00000 | 0.000280630i | \(8.93272e-5\pi\) | |
−0.692522 | + | 0.721397i | \(0.743500\pi\) | |||||||
\(332\) | 1.34477 | − | 4.02809i | 0.0738041 | − | 0.221070i | ||||
\(333\) | 9.68277 | + | 3.67219i | 0.530612 | + | 0.201235i | ||||
\(334\) | 26.9584 | + | 2.17631i | 1.47510 | + | 0.119082i | ||||
\(335\) | −2.12922 | + | 7.35092i | −0.116332 | + | 0.401624i | ||||
\(336\) | 17.1769 | + | 0.692204i | 0.937074 | + | 0.0377628i | ||||
\(337\) | −29.5083 | −1.60742 | −0.803710 | − | 0.595022i | \(-0.797143\pi\) | ||||
−0.803710 | + | 0.595022i | \(0.797143\pi\) | |||||||
\(338\) | −17.0304 | − | 16.0109i | −0.926330 | − | 0.870878i | ||||
\(339\) | 11.8267 | 0.642338 | ||||||||
\(340\) | 11.8860 | + | 0.478988i | 0.644607 | + | 0.0259768i | ||||
\(341\) | −3.94507 | + | 13.6200i | −0.213637 | + | 0.737562i | ||||
\(342\) | 8.59984 | + | 0.694251i | 0.465026 | + | 0.0375408i | ||||
\(343\) | 6.23372 | + | 2.36414i | 0.336589 | + | 0.127651i | ||||
\(344\) | −0.483622 | + | 1.44863i | −0.0260752 | + | 0.0781047i | ||||
\(345\) | 0.643902 | + | 1.51129i | 0.0346665 | + | 0.0813653i | ||||
\(346\) | −29.9115 | − | 3.63191i | −1.60805 | − | 0.195253i | ||||
\(347\) | 10.0607 | + | 6.36197i | 0.540084 | + | 0.341529i | 0.776494 | − | 0.630125i | \(-0.216996\pi\) |
−0.236409 | + | 0.971654i | \(0.575971\pi\) | |||||||
\(348\) | −6.35684 | − | 2.70840i | −0.340762 | − | 0.145185i | ||||
\(349\) | −13.3242 | − | 21.0706i | −0.713230 | − | 1.12788i | −0.986152 | − | 0.165846i | \(-0.946964\pi\) |
0.272922 | − | 0.962036i | \(-0.412010\pi\) | |||||||
\(350\) | −3.43010 | + | 9.04443i | −0.183347 | + | 0.483445i | ||||
\(351\) | −3.36436 | + | 1.29658i | −0.179576 | + | 0.0692061i | ||||
\(352\) | 10.0519 | + | 26.5046i | 0.535765 | + | 1.41270i | ||||
\(353\) | 11.7335 | − | 15.6144i | 0.624510 | − | 0.831071i | −0.370708 | − | 0.928749i | \(-0.620885\pi\) |
0.995218 | + | 0.0976778i | \(0.0311415\pi\) | |||||||
\(354\) | −17.1933 | − | 2.79418i | −0.913813 | − | 0.148509i | ||||
\(355\) | 0.102214 | − | 0.0435493i | 0.00542495 | − | 0.00231136i | ||||
\(356\) | 11.4292 | + | 7.88903i | 0.605748 | + | 0.418118i | ||||
\(357\) | −15.6300 | + | 9.02396i | −0.827225 | + | 0.477599i | ||||
\(358\) | 17.9067 | + | 8.49683i | 0.946398 | + | 0.449072i | ||||
\(359\) | 29.3562 | − | 3.56449i | 1.54936 | − | 0.188126i | 0.699307 | − | 0.714822i | \(-0.253492\pi\) |
0.850054 | + | 0.526695i | \(0.176569\pi\) | |||||||
\(360\) | −1.28117 | − | 2.21905i | −0.0675236 | − | 0.116954i | ||||
\(361\) | 2.01229 | − | 3.48539i | 0.105910 | − | 0.183442i | ||||
\(362\) | −6.32280 | + | 14.8402i | −0.332319 | + | 0.779982i | ||||
\(363\) | −7.74850 | − | 6.86457i | −0.406691 | − | 0.360297i | ||||
\(364\) | 0.539565 | − | 15.4436i | 0.0282809 | − | 0.809466i | ||||
\(365\) | 3.28397 | − | 2.90934i | 0.171891 | − | 0.152282i | ||||
\(366\) | 3.57178 | + | 10.6988i | 0.186700 | + | 0.559234i | ||||
\(367\) | 1.20508 | − | 29.9038i | 0.0629047 | − | 1.56096i | −0.592428 | − | 0.805623i | \(-0.701831\pi\) |
0.655333 | − | 0.755340i | \(-0.272528\pi\) | |||||||
\(368\) | −2.76546 | + | 3.38707i | −0.144160 | + | 0.176563i | ||||
\(369\) | −3.00413 | − | 3.39096i | −0.156389 | − | 0.176526i | ||||
\(370\) | 33.8979 | + | 6.92030i | 1.76227 | + | 0.359769i | ||||
\(371\) | −27.7874 | + | 8.04873i | −1.44265 | + | 0.417869i | ||||
\(372\) | −3.53790 | + | 1.34175i | −0.183431 | + | 0.0695663i | ||||
\(373\) | −1.33524 | − | 33.1335i | −0.0691359 | − | 1.71559i | −0.546981 | − | 0.837145i | \(-0.684223\pi\) |
0.477845 | − | 0.878444i | \(-0.341418\pi\) | |||||||
\(374\) | −34.4881 | − | 25.9161i | −1.78334 | − | 1.34009i | ||||
\(375\) | 11.9200 | − | 2.43349i | 0.615546 | − | 0.125665i | ||||
\(376\) | −3.72761 | + | 1.95640i | −0.192237 | + | 0.100894i | ||||
\(377\) | 7.82010 | − | 18.6304i | 0.402756 | − | 0.959515i | ||||
\(378\) | −5.53402 | − | 2.90448i | −0.284639 | − | 0.149390i | ||||
\(379\) | −25.7288 | − | 7.45243i | −1.32160 | − | 0.382806i | −0.458884 | − | 0.888496i | \(-0.651751\pi\) |
−0.862715 | + | 0.505691i | \(0.831238\pi\) | |||||||
\(380\) | 10.9575 | − | 0.884584i | 0.562110 | − | 0.0453782i | ||||
\(381\) | 4.04165 | − | 19.7973i | 0.207060 | − | 1.01425i | ||||
\(382\) | −16.8423 | − | 32.0904i | −0.861729 | − | 1.64189i | ||||
\(383\) | 14.6257 | + | 19.4633i | 0.747339 | + | 0.994527i | 0.999639 | + | 0.0268783i | \(0.00855667\pi\) |
−0.252300 | + | 0.967649i | \(0.581187\pi\) | |||||||
\(384\) | 5.46291 | − | 8.63890i | 0.278778 | − | 0.440852i | ||||
\(385\) | −24.5602 | + | 16.9527i | −1.25170 | + | 0.863989i | ||||
\(386\) | 3.72569 | − | 7.85172i | 0.189633 | − | 0.399642i | ||||
\(387\) | 0.767149 | − | 0.798687i | 0.0389964 | − | 0.0405995i | ||||
\(388\) | −8.31402 | − | 7.98573i | −0.422081 | − | 0.405414i | ||||
\(389\) | 0.970359 | + | 7.99163i | 0.0491992 | + | 0.405192i | 0.996415 | + | 0.0845960i | \(0.0269600\pi\) |
−0.947216 | + | 0.320596i | \(0.896117\pi\) | |||||||
\(390\) | −10.3995 | + | 6.07859i | −0.526597 | + | 0.307801i | ||||
\(391\) | 0.553344 | − | 4.55719i | 0.0279838 | − | 0.230467i | ||||
\(392\) | −5.42867 | + | 4.43237i | −0.274189 | + | 0.223869i | ||||
\(393\) | 0.326783 | + | 1.60069i | 0.0164840 | + | 0.0807440i | ||||
\(394\) | −10.3424 | − | 35.7061i | −0.521043 | − | 1.79885i | ||||
\(395\) | 4.05408 | + | 16.4481i | 0.203983 | + | 0.827592i | ||||
\(396\) | 0.458466 | − | 5.67913i | 0.0230388 | − | 0.285387i | ||||
\(397\) | 3.43421 | + | 21.1315i | 0.172358 | + | 1.06056i | 0.918688 | + | 0.394985i | \(0.129250\pi\) |
−0.746330 | + | 0.665576i | \(0.768186\pi\) | |||||||
\(398\) | −20.1689 | + | 22.7660i | −1.01097 | + | 1.14115i | ||||
\(399\) | −13.3337 | + | 10.0197i | −0.667522 | + | 0.501610i | ||||
\(400\) | 4.84104 | + | 5.92920i | 0.242052 | + | 0.296460i | ||||
\(401\) | 5.67279 | − | 34.9061i | 0.283285 | − | 1.74313i | −0.321657 | − | 0.946856i | \(-0.604240\pi\) |
0.604943 | − | 0.796269i | \(-0.293196\pi\) | |||||||
\(402\) | 7.19086 | + | 1.77239i | 0.358647 | + | 0.0883986i | ||||
\(403\) | −3.97878 | − | 10.3241i | −0.198197 | − | 0.514282i | ||||
\(404\) | −1.72164 | + | 0.424347i | −0.0856549 | + | 0.0211120i | ||||
\(405\) | 0.149510 | + | 1.85201i | 0.00742920 | + | 0.0920271i | ||||
\(406\) | 33.2213 | − | 11.0909i | 1.64875 | − | 0.550432i | ||||
\(407\) | −33.1481 | − | 34.5108i | −1.64309 | − | 1.71064i | ||||
\(408\) | 7.16047i | 0.354496i | ||||||||
\(409\) | 2.18781 | − | 2.10142i | 0.108180 | − | 0.103908i | −0.636683 | − | 0.771125i | \(-0.719694\pi\) |
0.744863 | + | 0.667217i | \(0.232515\pi\) | |||||||
\(410\) | −11.7237 | − | 9.57207i | −0.578990 | − | 0.472731i | ||||
\(411\) | −10.0098 | + | 19.0720i | −0.493745 | + | 0.940752i | ||||
\(412\) | 4.13923 | − | 0.672690i | 0.203925 | − | 0.0331411i | ||||
\(413\) | 28.4602 | − | 17.9971i | 1.40043 | − | 0.885581i | ||||
\(414\) | 1.43624 | − | 0.681503i | 0.0705872 | − | 0.0334940i | ||||
\(415\) | 3.63516 | − | 5.26643i | 0.178443 | − | 0.258519i | ||||
\(416\) | −18.7573 | − | 11.7213i | −0.919653 | − | 0.574685i | ||||
\(417\) | 10.6797 | + | 15.4723i | 0.522989 | + | 0.757680i | ||||
\(418\) | −34.5263 | − | 19.9337i | −1.68873 | − | 0.974991i | ||||
\(419\) | −1.09564 | − | 2.30900i | −0.0535253 | − | 0.112802i | 0.874926 | − | 0.484257i | \(-0.160910\pi\) |
−0.928451 | + | 0.371455i | \(0.878859\pi\) | |||||||
\(420\) | −7.55354 | − | 2.52174i | −0.368575 | − | 0.123048i | ||||
\(421\) | 9.18310 | − | 37.2573i | 0.447557 | − | 1.81581i | −0.120369 | − | 0.992729i | \(-0.538408\pi\) |
0.567926 | − | 0.823080i | \(-0.307746\pi\) | |||||||
\(422\) | −30.3572 | + | 1.22335i | −1.47776 | + | 0.0595518i | ||||
\(423\) | 3.05020 | − | 0.122919i | 0.148306 | − | 0.00597653i | ||||
\(424\) | −2.74681 | + | 11.1442i | −0.133397 | + | 0.541212i | ||||
\(425\) | −7.62257 | − | 2.54479i | −0.369749 | − | 0.123440i | ||||
\(426\) | −0.0460924 | − | 0.0971376i | −0.00223318 | − | 0.00470633i | ||||
\(427\) | −18.8832 | − | 10.9022i | −0.913820 | − | 0.527594i | ||||
\(428\) | −6.52348 | − | 9.45089i | −0.315324 | − | 0.456826i | ||||
\(429\) | 16.6135 | + | 1.25170i | 0.802106 | + | 0.0604326i | ||||
\(430\) | 2.10173 | − | 3.04487i | 0.101354 | − | 0.146837i | ||||
\(431\) | 19.4888 | − | 9.24755i | 0.938742 | − | 0.445439i | 0.103074 | − | 0.994674i | \(-0.467132\pi\) |
0.835668 | + | 0.549235i | \(0.185081\pi\) | |||||||
\(432\) | −4.18005 | + | 2.64331i | −0.201113 | + | 0.127176i | ||||
\(433\) | −18.7302 | + | 3.04396i | −0.900118 | + | 0.146283i | −0.592825 | − | 0.805331i | \(-0.701987\pi\) |
−0.307293 | + | 0.951615i | \(0.599423\pi\) | |||||||
\(434\) | 8.91292 | − | 16.9821i | 0.427834 | − | 0.815169i | ||||
\(435\) | −8.06535 | − | 6.58516i | −0.386704 | − | 0.315734i | ||||
\(436\) | 10.5203 | − | 10.1049i | 0.503833 | − | 0.483938i | ||||
\(437\) | − | 4.24241i | − | 0.202942i | ||||||
\(438\) | −2.94112 | − | 3.06203i | −0.140532 | − | 0.146309i | ||||
\(439\) | 22.8941 | − | 7.64317i | 1.09268 | − | 0.364789i | 0.287473 | − | 0.957789i | \(-0.407185\pi\) |
0.805202 | + | 0.593000i | \(0.202057\pi\) | |||||||
\(440\) | 0.952731 | + | 11.8017i | 0.0454197 | + | 0.562624i | ||||
\(441\) | 4.93428 | − | 1.21619i | 0.234966 | − | 0.0579138i | ||||
\(442\) | 33.6612 | − | 0.180201i | 1.60110 | − | 0.00857128i | ||||
\(443\) | 28.8992 | + | 7.12302i | 1.37304 | + | 0.338425i | 0.855753 | − | 0.517384i | \(-0.173094\pi\) |
0.517291 | + | 0.855809i | \(0.326940\pi\) | |||||||
\(444\) | 2.04828 | − | 12.6036i | 0.0972070 | − | 0.598139i | ||||
\(445\) | 13.2351 | + | 16.2101i | 0.627406 | + | 0.768433i | ||||
\(446\) | −40.9123 | + | 30.7436i | −1.93725 | + | 1.45575i | ||||
\(447\) | 9.66940 | − | 10.9145i | 0.457347 | − | 0.516238i | ||||
\(448\) | −0.635037 | − | 3.90754i | −0.0300027 | − | 0.184614i | ||||
\(449\) | −1.54564 | + | 19.1462i | −0.0729433 | + | 0.903565i | 0.852020 | + | 0.523509i | \(0.175377\pi\) |
−0.924964 | + | 0.380056i | \(0.875905\pi\) | |||||||
\(450\) | −0.665985 | − | 2.70201i | −0.0313948 | − | 0.127374i | ||||
\(451\) | 5.82407 | + | 20.1070i | 0.274245 | + | 0.946803i | ||||
\(452\) | −2.91691 | − | 14.2880i | −0.137200 | − | 0.672050i | ||||
\(453\) | 13.2378 | − | 10.8083i | 0.621966 | − | 0.507819i | ||||
\(454\) | 0.550142 | − | 4.53083i | 0.0258194 | − | 0.212642i | ||||
\(455\) | 7.25557 | − | 22.1267i | 0.340146 | − | 1.03732i | ||||
\(456\) | 0.797624 | + | 6.56902i | 0.0373521 | + | 0.307623i | ||||
\(457\) | 10.2463 | + | 9.84173i | 0.479303 | + | 0.460377i | 0.893012 | − | 0.450032i | \(-0.148588\pi\) |
−0.413709 | + | 0.910409i | \(0.635767\pi\) | |||||||
\(458\) | −34.2506 | + | 35.6587i | −1.60043 | + | 1.66622i | ||||
\(459\) | 2.22590 | − | 4.69097i | 0.103896 | − | 0.218956i | ||||
\(460\) | 1.66700 | − | 1.15065i | 0.0777243 | − | 0.0536492i | ||||
\(461\) | −13.3496 | + | 21.1107i | −0.621753 | + | 0.983223i | 0.376629 | + | 0.926364i | \(0.377083\pi\) |
−0.998382 | + | 0.0568593i | \(0.981891\pi\) | |||||||
\(462\) | 17.3492 | + | 23.0876i | 0.807158 | + | 1.07413i | ||||
\(463\) | −1.20984 | − | 2.30516i | −0.0562262 | − | 0.107130i | 0.855721 | − | 0.517437i | \(-0.173114\pi\) |
−0.911947 | + | 0.410307i | \(0.865422\pi\) | |||||||
\(464\) | 5.54374 | − | 27.1550i | 0.257361 | − | 1.26064i | ||||
\(465\) | −5.68323 | + | 0.458798i | −0.263554 | + | 0.0212762i | ||||
\(466\) | 27.7881 | + | 8.04892i | 1.28726 | + | 0.372859i | ||||
\(467\) | −9.59430 | − | 5.03548i | −0.443971 | − | 0.233014i | 0.227896 | − | 0.973685i | \(-0.426815\pi\) |
−0.671868 | + | 0.740671i | \(0.734508\pi\) | |||||||
\(468\) | 2.39619 | + | 3.74473i | 0.110764 | + | 0.173100i | ||||
\(469\) | −12.6770 | + | 6.65343i | −0.585372 | + | 0.307227i | ||||
\(470\) | 9.99248 | − | 2.03998i | 0.460919 | − | 0.0940972i | ||||
\(471\) | −13.9878 | − | 10.5111i | −0.644523 | − | 0.484328i | ||||
\(472\) | −0.537942 | − | 13.3489i | −0.0247608 | − | 0.614433i | ||||
\(473\) | −4.78472 | + | 1.81461i | −0.220002 | + | 0.0834356i | ||||
\(474\) | 15.7463 | − | 4.56097i | 0.723251 | − | 0.209492i | ||||
\(475\) | −7.27642 | − | 1.48549i | −0.333865 | − | 0.0681590i | ||||
\(476\) | 14.7569 | + | 16.6571i | 0.676381 | + | 0.763477i | ||||
\(477\) | 5.26377 | − | 6.44695i | 0.241012 | − | 0.295186i | ||||
\(478\) | −0.576692 | + | 14.3105i | −0.0263773 | + | 0.654545i | ||||
\(479\) | 4.92243 | + | 14.7445i | 0.224912 | + | 0.673692i | 0.999167 | + | 0.0408186i | \(0.0129966\pi\) |
−0.774255 | + | 0.632874i | \(0.781875\pi\) | |||||||
\(480\) | −8.53169 | + | 7.55842i | −0.389417 | + | 0.344993i | ||||
\(481\) | 36.8861 | + | 5.79207i | 1.68186 | + | 0.264096i | ||||
\(482\) | −8.96124 | − | 7.93897i | −0.408173 | − | 0.361610i | ||||
\(483\) | −1.20458 | + | 2.82725i | −0.0548101 | + | 0.128644i | ||||
\(484\) | −6.38210 | + | 11.0541i | −0.290095 | + | 0.502460i | ||||
\(485\) | −8.68568 | − | 15.0440i | −0.394397 | − | 0.683115i | ||||
\(486\) | 1.78495 | − | 0.216733i | 0.0809671 | − | 0.00983119i | ||||
\(487\) | 0.157832 | + | 0.0748921i | 0.00715204 | + | 0.00339369i | 0.432265 | − | 0.901747i | \(-0.357714\pi\) |
−0.425113 | + | 0.905140i | \(0.639766\pi\) | |||||||
\(488\) | −7.49185 | + | 4.32542i | −0.339140 | + | 0.195803i | ||||
\(489\) | −2.44715 | − | 1.68915i | −0.110664 | − | 0.0763858i | ||||
\(490\) | 15.6195 | − | 6.65485i | 0.705618 | − | 0.300636i | ||||
\(491\) | 34.0878 | + | 5.53980i | 1.53836 | + | 0.250008i | 0.869708 | − | 0.493567i | \(-0.164307\pi\) |
0.668653 | + | 0.743575i | \(0.266871\pi\) | |||||||
\(492\) | −3.35572 | + | 4.46566i | −0.151288 | + | 0.201327i | ||||
\(493\) | 10.3179 | + | 27.2062i | 0.464696 | + | 1.22530i | ||||
\(494\) | 30.8607 | − | 3.91492i | 1.38849 | − | 0.176141i | ||||
\(495\) | 3.04451 | − | 8.02770i | 0.136840 | − | 0.360818i | ||||
\(496\) | −8.11147 | − | 12.8273i | −0.364216 | − | 0.575961i | ||||
\(497\) | 0.191216 | + | 0.0814696i | 0.00857722 | + | 0.00365441i | ||||
\(498\) | −5.23396 | − | 3.30976i | −0.234540 | − | 0.148314i | ||||
\(499\) | 33.9154 | + | 4.11807i | 1.51826 | + | 0.184350i | 0.836801 | − | 0.547506i | \(-0.184423\pi\) |
0.681459 | + | 0.731857i | \(0.261346\pi\) | |||||||
\(500\) | −5.87985 | − | 13.8005i | −0.262955 | − | 0.617178i | ||||
\(501\) | 4.76326 | − | 14.2677i | 0.212807 | − | 0.637434i | ||||
\(502\) | −8.27097 | − | 3.13677i | −0.369152 | − | 0.140001i | ||||
\(503\) | 7.42635 | + | 0.599517i | 0.331125 | + | 0.0267311i | 0.244911 | − | 0.969546i | \(-0.421241\pi\) |
0.0862135 | + | 0.996277i | \(0.472523\pi\) | |||||||
\(504\) | 1.33363 | − | 4.60423i | 0.0594047 | − | 0.205089i | ||||
\(505\) | −2.66979 | − | 0.107589i | −0.118804 | − | 0.00478765i | ||||
\(506\) | −7.34581 | −0.326561 | ||||||||
\(507\) | −10.9125 | + | 7.06529i | −0.484639 | + | 0.313781i | ||||
\(508\) | −24.9142 | −1.10539 | ||||||||
\(509\) | −32.9799 | − | 1.32904i | −1.46181 | − | 0.0589088i | −0.703448 | − | 0.710746i | \(-0.748357\pi\) |
−0.758359 | + | 0.651838i | \(0.773998\pi\) | |||||||
\(510\) | 4.82616 | − | 16.6618i | 0.213706 | − | 0.737799i | ||||
\(511\) | 8.18097 | + | 0.660436i | 0.361905 | + | 0.0292160i | ||||
\(512\) | −15.6137 | − | 5.92149i | −0.690034 | − | 0.261695i | ||||
\(513\) | 1.51950 | − | 4.55145i | 0.0670875 | − | 0.200951i | ||||
\(514\) | −11.0084 | − | 25.8378i | −0.485562 | − | 1.13966i | ||||
\(515\) | 6.27310 | + | 0.761692i | 0.276426 | + | 0.0335641i | ||||
\(516\) | −1.15411 | − | 0.729816i | −0.0508069 | − | 0.0321283i | ||||
\(517\) | −12.9771 | − | 5.52902i | −0.570732 | − | 0.243166i | ||||
\(518\) | 34.5918 | + | 54.7026i | 1.51988 | + | 2.40350i | ||||
\(519\) | −5.94232 | + | 15.6686i | −0.260839 | + | 0.687775i | ||||
\(520\) | −6.16329 | − | 6.88233i | −0.270278 | − | 0.301810i | ||||
\(521\) | 0.147708 | + | 0.389475i | 0.00647122 | + | 0.0170632i | 0.938213 | − | 0.346059i | \(-0.112480\pi\) |
−0.931742 | + | 0.363122i | \(0.881711\pi\) | |||||||
\(522\) | −6.05316 | + | 8.05530i | −0.264940 | + | 0.352571i | ||||
\(523\) | −36.7759 | − | 5.97666i | −1.60810 | − | 0.261341i | −0.711006 | − | 0.703186i | \(-0.751760\pi\) |
−0.897091 | + | 0.441845i | \(0.854324\pi\) | |||||||
\(524\) | 1.85321 | − | 0.789580i | 0.0809580 | − | 0.0344930i | ||||
\(525\) | 4.42740 | + | 3.05601i | 0.193227 | + | 0.133375i | ||||
\(526\) | −37.2295 | + | 21.4945i | −1.62328 | + | 0.937204i | ||||
\(527\) | 14.3951 | + | 6.83057i | 0.627061 | + | 0.297544i | ||||
\(528\) | 22.6865 | − | 2.75464i | 0.987303 | − | 0.119880i | ||||
\(529\) | 11.1092 | + | 19.2416i | 0.483007 | + | 0.836592i | ||||
\(530\) | 13.9028 | − | 24.0804i | 0.603900 | − | 1.04599i | ||||
\(531\) | −3.79720 | + | 8.91236i | −0.164785 | + | 0.386764i | ||||
\(532\) | 15.3935 | + | 13.6374i | 0.667391 | + | 0.591257i | ||||
\(533\) | −13.1105 | − | 9.74256i | −0.567881 | − | 0.421997i | ||||
\(534\) | 15.1585 | − | 13.4292i | 0.655970 | − | 0.581139i | ||||
\(535\) | −5.47981 | − | 16.4140i | −0.236913 | − | 0.709641i | ||||
\(536\) | −0.228719 | + | 5.67562i | −0.00987918 | + | 0.245149i | ||||
\(537\) | 6.97155 | − | 8.53860i | 0.300845 | − | 0.368468i | ||||
\(538\) | −7.70103 | − | 8.69267i | −0.332015 | − | 0.374768i | ||||
\(539\) | −23.0082 | − | 4.69715i | −0.991032 | − | 0.202321i | ||||
\(540\) | 2.20056 | − | 0.637400i | 0.0946971 | − | 0.0274293i | ||||
\(541\) | −24.7025 | + | 9.36844i | −1.06205 | + | 0.402781i | −0.822890 | − | 0.568201i | \(-0.807640\pi\) |
−0.239155 | + | 0.970981i | \(0.576870\pi\) | |||||||
\(542\) | −0.922671 | − | 22.8958i | −0.0396321 | − | 0.983460i | ||||
\(543\) | 7.17204 | + | 5.38944i | 0.307782 | + | 0.231283i | ||||
\(544\) | 31.2087 | − | 6.37130i | 1.33806 | − | 0.273167i | ||||
\(545\) | 19.4634 | − | 10.2152i | 0.833722 | − | 0.437571i | ||||
\(546\) | −21.6779 | − | 6.15349i | −0.927729 | − | 0.263345i | ||||
\(547\) | −16.4032 | − | 8.60907i | −0.701350 | − | 0.368097i | 0.0760492 | − | 0.997104i | \(-0.475769\pi\) |
−0.777400 | + | 0.629007i | \(0.783462\pi\) | |||||||
\(548\) | 25.5099 | + | 7.38903i | 1.08973 | + | 0.315644i | ||||
\(549\) | 6.25266 | − | 0.504767i | 0.266857 | − | 0.0215429i | ||||
\(550\) | −2.57216 | + | 12.5993i | −0.109677 | + | 0.537234i | ||||
\(551\) | 12.4962 | + | 23.8096i | 0.532358 | + | 1.01432i | ||||
\(552\) | 0.732467 | + | 0.974736i | 0.0311759 | + | 0.0414875i | ||||
\(553\) | −16.9378 | + | 26.7849i | −0.720267 | + | 1.13901i | ||||
\(554\) | 25.4582 | − | 17.5725i | 1.08161 | − | 0.746584i | ||||
\(555\) | 8.24860 | − | 17.3835i | 0.350133 | − | 0.737891i | ||||
\(556\) | 16.0582 | − | 16.7184i | 0.681019 | − | 0.709016i | ||||
\(557\) | 20.2747 | + | 19.4741i | 0.859065 | + | 0.825143i | 0.985996 | − | 0.166768i | \(-0.0533332\pi\) |
−0.126931 | + | 0.991912i | \(0.540513\pi\) | |||||||
\(558\) | 0.665084 | + | 5.47746i | 0.0281552 | + | 0.231879i | ||||
\(559\) | 2.11598 | − | 3.38616i | 0.0894966 | − | 0.143219i | ||||
\(560\) | 3.85007 | − | 31.7082i | 0.162695 | − | 1.33992i | ||||
\(561\) | −18.5848 | + | 15.1740i | −0.784650 | + | 0.640647i | ||||
\(562\) | 4.76912 | + | 23.3607i | 0.201173 | + | 0.985412i | ||||
\(563\) | 10.5034 | + | 36.2619i | 0.442665 | + | 1.52826i | 0.803315 | + | 0.595554i | \(0.203068\pi\) |
−0.360650 | + | 0.932701i | \(0.617445\pi\) | |||||||
\(564\) | −0.900795 | − | 3.65467i | −0.0379303 | − | 0.153889i | ||||
\(565\) | 1.76821 | − | 21.9032i | 0.0743890 | − | 0.921473i | ||||
\(566\) | −2.10092 | − | 12.9275i | −0.0883082 | − | 0.543382i | ||||
\(567\) | −2.30495 | + | 2.60176i | −0.0967990 | + | 0.109263i | ||||
\(568\) | 0.0659247 | − | 0.0495392i | 0.00276614 | − | 0.00207862i | ||||
\(569\) | 24.1174 | + | 29.5384i | 1.01105 | + | 1.23832i | 0.970991 | + | 0.239118i | \(0.0768582\pi\) |
0.0400624 | + | 0.999197i | \(0.487244\pi\) | |||||||
\(570\) | 2.57152 | − | 15.8232i | 0.107709 | − | 0.662760i | ||||
\(571\) | −9.94823 | − | 2.45202i | −0.416320 | − | 0.102614i | 0.0255909 | − | 0.999672i | \(-0.491853\pi\) |
−0.441911 | + | 0.897059i | \(0.645699\pi\) | |||||||
\(572\) | −2.58532 | − | 20.3797i | −0.108098 | − | 0.852117i | ||||
\(573\) | −19.5702 | + | 4.82363i | −0.817559 | + | 0.201510i | ||||
\(574\) | −2.27831 | − | 28.2220i | −0.0950949 | − | 1.17796i | ||||
\(575\) | −1.29795 | + | 0.433321i | −0.0541284 | + | 0.0180707i | ||||
\(576\) | 0.788962 | + | 0.821396i | 0.0328734 | + | 0.0342248i | ||||
\(577\) | − | 35.1033i | − | 1.46137i | −0.682716 | − | 0.730684i | \(-0.739201\pi\) | ||
0.682716 | − | 0.730684i | \(-0.260799\pi\) | |||||||
\(578\) | −12.9156 | + | 12.4056i | −0.537219 | + | 0.516006i | ||||
\(579\) | −3.74400 | − | 3.05688i | −0.155595 | − | 0.127040i | ||||
\(580\) | −5.96639 | + | 11.3680i | −0.247741 | + | 0.472030i | ||||
\(581\) | 11.8162 | − | 1.92033i | 0.490220 | − | 0.0796685i | ||||
\(582\) | −14.2082 | + | 8.98473i | −0.588949 | + | 0.372429i | ||||
\(583\) | −34.7453 | + | 16.4869i | −1.43901 | + | 0.682817i | ||||
\(584\) | 1.84981 | − | 2.67992i | 0.0765458 | − | 0.110896i | ||||
\(585\) | 1.89827 | + | 6.42467i | 0.0784836 | + | 0.265627i | ||||
\(586\) | 22.5973 | + | 32.7378i | 0.933485 | + | 1.35239i | ||||
\(587\) | −3.67936 | − | 2.12428i | −0.151863 | − | 0.0876783i | 0.422143 | − | 0.906529i | \(-0.361278\pi\) |
−0.574006 | + | 0.818851i | \(0.694611\pi\) | |||||||
\(588\) | −2.68627 | − | 5.66120i | −0.110780 | − | 0.233464i | ||||
\(589\) | 13.9670 | + | 4.66286i | 0.575499 | + | 0.192130i | ||||
\(590\) | −7.74541 | + | 31.4244i | −0.318874 | + | 1.29372i | ||||
\(591\) | −20.6576 | + | 0.832473i | −0.849740 | + | 0.0342434i | ||||
\(592\) | 51.1747 | − | 2.06227i | 2.10327 | − | 0.0847588i | ||||
\(593\) | 2.36353 | − | 9.58922i | 0.0970586 | − | 0.393782i | −0.902240 | − | 0.431235i | \(-0.858078\pi\) |
0.999298 | + | 0.0374524i | \(0.0119243\pi\) | |||||||
\(594\) | −7.88092 | − | 2.63104i | −0.323358 | − | 0.107953i | ||||
\(595\) | 14.3756 | + | 30.2960i | 0.589344 | + | 1.24202i | ||||
\(596\) | −15.5708 | − | 8.98979i | −0.637804 | − | 0.368236i | ||||
\(597\) | 9.60905 | + | 13.9211i | 0.393272 | + | 0.569753i | ||||
\(598\) | 4.56377 | − | 3.46783i | 0.186627 | − | 0.141810i | ||||
\(599\) | 15.8896 | − | 23.0200i | 0.649230 | − | 0.940572i | −0.350762 | − | 0.936465i | \(-0.614077\pi\) |
0.999992 | − | 0.00410701i | \(-0.00130731\pi\) | |||||||
\(600\) | 1.92831 | − | 0.914992i | 0.0787227 | − | 0.0373544i | ||||
\(601\) | −32.8351 | + | 20.7636i | −1.33937 | + | 0.846967i | −0.995746 | − | 0.0921403i | \(-0.970629\pi\) |
−0.343625 | + | 0.939107i | \(0.611655\pi\) | |||||||
\(602\) | 6.83175 | − | 1.11027i | 0.278441 | − | 0.0452511i | ||||
\(603\) | 1.91415 | − | 3.64712i | 0.0779504 | − | 0.148522i | ||||
\(604\) | −16.3226 | − | 13.3270i | −0.664157 | − | 0.542268i | ||||
\(605\) | −13.8717 | + | 13.3240i | −0.563966 | + | 0.541697i | ||||
\(606\) | 2.58572i | 0.105038i | ||||||||
\(607\) | −23.2543 | − | 24.2103i | −0.943862 | − | 0.982665i | 0.0560135 | − | 0.998430i | \(-0.482161\pi\) |
−0.999876 | + | 0.0157654i | \(0.994982\pi\) | |||||||
\(608\) | 27.9211 | − | 9.32144i | 1.13235 | − | 0.378034i | ||||
\(609\) | −1.56738 | − | 19.4154i | −0.0635133 | − | 0.786753i | ||||
\(610\) | 20.3483 | − | 5.01540i | 0.823877 | − | 0.203067i | ||||
\(611\) | 10.6725 | − | 2.69122i | 0.431763 | − | 0.108875i | ||||
\(612\) | −6.21621 | − | 1.53216i | −0.251276 | − | 0.0619339i | ||||
\(613\) | −2.03619 | + | 12.5292i | −0.0822410 | + | 0.506049i | 0.912948 | + | 0.408076i | \(0.133800\pi\) |
−0.995189 | + | 0.0979734i | \(0.968764\pi\) | |||||||
\(614\) | −5.94170 | − | 7.27726i | −0.239787 | − | 0.293686i | ||||
\(615\) | −6.72923 | + | 5.05669i | −0.271349 | + | 0.203905i | ||||
\(616\) | −14.6880 | + | 16.5794i | −0.591797 | + | 0.668001i | ||||
\(617\) | −3.88689 | − | 23.9170i | −0.156480 | − | 0.962862i | −0.939920 | − | 0.341394i | \(-0.889101\pi\) |
0.783440 | − | 0.621468i | \(-0.213463\pi\) | |||||||
\(618\) | 0.492070 | − | 6.09538i | 0.0197939 | − | 0.245192i | ||||
\(619\) | 2.22437 | + | 9.02461i | 0.0894049 | + | 0.362730i | 0.998555 | − | 0.0537387i | \(-0.0171138\pi\) |
−0.909150 | + | 0.416468i | \(0.863268\pi\) | |||||||
\(620\) | 1.95598 | + | 6.75282i | 0.0785540 | + | 0.271200i | ||||
\(621\) | −0.176849 | − | 0.866264i | −0.00709671 | − | 0.0347620i | ||||
\(622\) | −12.1159 | + | 9.89236i | −0.485805 | + | 0.396647i | ||||
\(623\) | −4.71889 | + | 38.8635i | −0.189058 | + | 1.55704i | ||||
\(624\) | −12.7941 | + | 12.4213i | −0.512176 | + | 0.497250i | ||||
\(625\) | −1.79191 | − | 14.7577i | −0.0716763 | − | 0.590307i | ||||
\(626\) | 20.9448 | + | 20.1177i | 0.837121 | + | 0.804066i | ||||
\(627\) | −15.3594 | + | 15.9908i | −0.613396 | + | 0.638613i | ||||
\(628\) | −9.24872 | + | 19.4913i | −0.369064 | + | 0.777786i | ||||
\(629\) | −44.2517 | + | 30.5448i | −1.76443 | + | 1.21790i | ||||
\(630\) | −6.20651 | + | 9.81481i | −0.247273 | + | 0.391031i | ||||
\(631\) | 13.7172 | + | 18.2543i | 0.546075 | + | 0.726694i | 0.985138 | − | 0.171762i | \(-0.0549461\pi\) |
−0.439064 | + | 0.898456i | \(0.644690\pi\) | |||||||
\(632\) | 5.84312 | + | 11.1331i | 0.232427 | + | 0.442852i | ||||
\(633\) | −3.37983 | + | 16.5555i | −0.134336 | + | 0.658021i | ||||
\(634\) | −30.7674 | + | 2.48380i | −1.22193 | + | 0.0986444i | ||||
\(635\) | −36.0605 | − | 10.4451i | −1.43102 | − | 0.414499i | ||||
\(636\) | −9.08689 | − | 4.76917i | −0.360319 | − | 0.189110i | ||||
\(637\) | 16.5119 | − | 7.94354i | 0.654223 | − | 0.314735i | ||||
\(638\) | 41.2268 | − | 21.6375i | 1.63218 | − | 0.856636i | ||||
\(639\) | −0.0585884 | + | 0.0119609i | −0.00231772 | + | 0.000473166i | ||||
\(640\) | −15.1826 | − | 11.4090i | −0.600144 | − | 0.450979i | ||||
\(641\) | 0.831397 | + | 20.6309i | 0.0328382 | + | 0.814872i | 0.928765 | + | 0.370670i | \(0.120872\pi\) |
−0.895927 | + | 0.444202i | \(0.853487\pi\) | |||||||
\(642\) | −15.6578 | + | 5.93823i | −0.617965 | + | 0.234363i | ||||
\(643\) | 8.65891 | − | 2.50808i | 0.341474 | − | 0.0989091i | −0.103050 | − | 0.994676i | \(-0.532860\pi\) |
0.444524 | + | 0.895767i | \(0.353373\pi\) | |||||||
\(644\) | 3.71272 | + | 0.757958i | 0.146302 | + | 0.0298677i | ||||
\(645\) | −1.36448 | − | 1.54018i | −0.0537263 | − | 0.0606445i | ||||
\(646\) | −28.3324 | + | 34.7008i | −1.11472 | + | 1.36529i | ||||
\(647\) | 0.519809 | − | 12.8989i | 0.0204358 | − | 0.507109i | −0.956265 | − | 0.292502i | \(-0.905512\pi\) |
0.976701 | − | 0.214607i | \(-0.0688469\pi\) | |||||||
\(648\) | 0.436704 | + | 1.30809i | 0.0171553 | + | 0.0513865i | ||||
\(649\) | 33.5066 | − | 29.6843i | 1.31525 | − | 1.16521i | ||||
\(650\) | −4.34988 | − | 9.04188i | −0.170616 | − | 0.354652i | ||||
\(651\) | −7.98397 | − | 7.07318i | −0.312916 | − | 0.277220i | ||||
\(652\) | −1.43712 | + | 3.37304i | −0.0562819 | + | 0.132098i | ||||
\(653\) | −19.1608 | + | 33.1875i | −0.749820 | + | 1.29873i | 0.198089 | + | 0.980184i | \(0.436527\pi\) |
−0.947909 | + | 0.318542i | \(0.896807\pi\) | |||||||
\(654\) | −10.6359 | − | 18.4219i | −0.415896 | − | 0.720353i | ||||
\(655\) | 3.01335 | − | 0.365886i | 0.117741 | − | 0.0142964i | ||||
\(656\) | −20.2421 | − | 9.60501i | −0.790322 | − | 0.375013i | ||||
\(657\) | −2.04493 | + | 1.18064i | −0.0797802 | + | 0.0460611i | ||||
\(658\) | 15.7017 | + | 10.8381i | 0.612115 | + | 0.422512i | ||||
\(659\) | −0.551438 | + | 0.234946i | −0.0214810 | + | 0.00915219i | −0.402680 | − | 0.915341i | \(-0.631921\pi\) |
0.381199 | + | 0.924493i | \(0.375511\pi\) | |||||||
\(660\) | −10.4493 | − | 1.69817i | −0.406737 | − | 0.0661011i | ||||
\(661\) | −25.0869 | + | 33.3846i | −0.975768 | + | 1.29851i | −0.0214333 | + | 0.999770i | \(0.506823\pi\) |
−0.954334 | + | 0.298741i | \(0.903433\pi\) | |||||||
\(662\) | −9.09973 | − | 23.9940i | −0.353671 | − | 0.932554i | ||||
\(663\) | 4.38287 | − | 18.2008i | 0.170217 | − | 0.706860i | ||||
\(664\) | 1.68422 | − | 4.44093i | 0.0653604 | − | 0.172341i | ||||
\(665\) | 16.5630 | + | 26.1922i | 0.642284 | + | 1.01569i | ||||
\(666\) | −17.1302 | − | 7.29851i | −0.663783 | − | 0.282812i | ||||
\(667\) | 4.18755 | + | 2.64805i | 0.162143 | + | 0.102533i | ||||
\(668\) | −18.4118 | − | 2.23560i | −0.712374 | − | 0.0864978i | ||||
\(669\) | 11.1561 | + | 26.1842i | 0.431318 | + | 1.01234i | ||||
\(670\) | 4.35758 | − | 13.0525i | 0.168348 | − | 0.504264i | ||||
\(671\) | −27.1027 | − | 10.2787i | −1.04629 | − | 0.396805i | ||||
\(672\) | −21.2540 | − | 1.71580i | −0.819892 | − | 0.0661885i | ||||
\(673\) | 2.84979 | − | 9.83861i | 0.109851 | − | 0.379251i | −0.886689 | − | 0.462367i | \(-0.847000\pi\) |
0.996540 | + | 0.0831166i | \(0.0264874\pi\) | |||||||
\(674\) | 53.0147 | + | 2.13642i | 2.04205 | + | 0.0822919i | ||||
\(675\) | −1.54771 | −0.0595712 | ||||||||
\(676\) | 11.2271 | + | 11.4409i | 0.431811 | + | 0.440034i | ||||
\(677\) | −35.7128 | −1.37256 | −0.686278 | − | 0.727340i | \(-0.740757\pi\) | ||||
−0.686278 | + | 0.727340i | \(0.740757\pi\) | |||||||
\(678\) | −21.2479 | − | 0.856261i | −0.816021 | − | 0.0328845i | ||||
\(679\) | 9.04135 | − | 31.2143i | 0.346975 | − | 1.19790i | ||||
\(680\) | 13.2613 | + | 1.07056i | 0.508546 | + | 0.0410541i | ||||
\(681\) | −2.37339 | − | 0.900110i | −0.0909487 | − | 0.0344923i | ||||
\(682\) | 8.07382 | − | 24.1841i | 0.309163 | − | 0.926055i | ||||
\(683\) | −6.74025 | − | 15.8200i | −0.257909 | − | 0.605334i | 0.739812 | − | 0.672814i | \(-0.234914\pi\) |
−0.997721 | + | 0.0674799i | \(0.978504\pi\) | |||||||
\(684\) | −5.87343 | − | 0.713163i | −0.224576 | − | 0.0272685i | ||||
\(685\) | 33.8250 | + | 21.3896i | 1.29239 | + | 0.817255i | ||||
\(686\) | −11.0284 | − | 4.69875i | −0.421065 | − | 0.179399i | ||||
\(687\) | 14.6968 | + | 23.2411i | 0.560718 | + | 0.886705i | ||||
\(688\) | 1.94219 | − | 5.12113i | 0.0740453 | − | 0.195241i | ||||
\(689\) | 13.8033 | − | 26.6456i | 0.525862 | − | 1.01512i | ||||
\(690\) | −1.04742 | − | 2.76182i | −0.0398745 | − | 0.105141i | ||||
\(691\) | 16.6760 | − | 22.1917i | 0.634384 | − | 0.844212i | −0.361730 | − | 0.932283i | \(-0.617814\pi\) |
0.996114 | + | 0.0880711i | \(0.0280703\pi\) | |||||||
\(692\) | 20.3950 | + | 3.31451i | 0.775303 | + | 0.125999i | ||||
\(693\) | 14.7763 | − | 6.29558i | 0.561304 | − | 0.239149i | ||||
\(694\) | −17.6144 | − | 12.1584i | −0.668634 | − | 0.461525i | ||||
\(695\) | 30.2515 | − | 17.4657i | 1.14751 | − | 0.662512i | ||||
\(696\) | −6.98195 | − | 3.31297i | −0.264650 | − | 0.125578i | ||||
\(697\) | 23.3510 | − | 2.83532i | 0.884481 | − | 0.107395i | ||||
\(698\) | 22.4129 | + | 38.8202i | 0.848339 | + | 1.46937i | ||||
\(699\) | 8.04485 | − | 13.9341i | 0.304284 | − | 0.527036i | ||||
\(700\) | 2.60004 | − | 6.10252i | 0.0982723 | − | 0.230654i | ||||
\(701\) | −26.1960 | − | 23.2076i | −0.989407 | − | 0.876539i | 0.00294242 | − | 0.999996i | \(-0.499063\pi\) |
−0.992350 | + | 0.123457i | \(0.960602\pi\) | |||||||
\(702\) | 6.13829 | − | 2.08585i | 0.231675 | − | 0.0787254i | ||||
\(703\) | −37.1941 | + | 32.9511i | −1.40280 | + | 1.24277i | ||||
\(704\) | −1.66655 | − | 4.99192i | −0.0628104 | − | 0.188140i | ||||
\(705\) | 0.228388 | − | 5.66738i | 0.00860158 | − | 0.213446i | ||||
\(706\) | −22.2109 | + | 27.2034i | −0.835919 | + | 1.02381i | ||||
\(707\) | −3.31466 | − | 3.74147i | −0.124660 | − | 0.140713i | ||||
\(708\) | 11.7037 | + | 2.38932i | 0.439851 | + | 0.0897962i | ||||
\(709\) | 3.28236 | − | 0.950746i | 0.123272 | − | 0.0357060i | −0.216008 | − | 0.976392i | \(-0.569304\pi\) |
0.339280 | + | 0.940685i | \(0.389817\pi\) | |||||||
\(710\) | −0.186791 | + | 0.0708405i | −0.00701014 | + | 0.00265860i | ||||
\(711\) | −0.367118 | − | 9.10994i | −0.0137680 | − | 0.341649i | ||||
\(712\) | 12.4172 | + | 9.33089i | 0.465353 | + | 0.349690i | ||||
\(713\) | 2.65829 | − | 0.542694i | 0.0995537 | − | 0.0203240i | ||||
\(714\) | 28.7342 | − | 15.0809i | 1.07535 | − | 0.564388i | ||||
\(715\) | 4.80204 | − | 30.5812i | 0.179586 | − | 1.14367i | ||||
\(716\) | −12.0350 | − | 6.31647i | −0.449770 | − | 0.236058i | ||||
\(717\) | 7.65079 | + | 2.21608i | 0.285724 | + | 0.0827610i | ||||
\(718\) | −52.9995 | + | 4.27857i | −1.97793 | + | 0.159675i | ||||
\(719\) | −6.79435 | + | 33.2809i | −0.253387 | + | 1.24117i | 0.631505 | + | 0.775372i | \(0.282438\pi\) |
−0.884891 | + | 0.465798i | \(0.845767\pi\) | |||||||
\(720\) | 4.27047 | + | 8.13670i | 0.159151 | + | 0.303237i | ||||
\(721\) | 7.10171 | + | 9.45066i | 0.264481 | + | 0.351961i | ||||
\(722\) | −3.86764 | + | 6.11618i | −0.143939 | + | 0.227621i | ||||
\(723\) | −5.47970 | + | 3.78236i | −0.203792 | + | 0.140668i | ||||
\(724\) | 4.74215 | − | 9.99387i | 0.176241 | − | 0.371419i | ||||
\(725\) | 6.00812 | − | 6.25511i | 0.223136 | − | 0.232309i | ||||
\(726\) | 13.4240 | + | 12.8939i | 0.498211 | + | 0.478538i | ||||
\(727\) | 1.09159 | + | 8.99009i | 0.0404850 | + | 0.333424i | 0.998853 | + | 0.0478871i | \(0.0152488\pi\) |
−0.958368 | + | 0.285537i | \(0.907828\pi\) | |||||||
\(728\) | 1.29847 | − | 17.2343i | 0.0481247 | − | 0.638746i | ||||
\(729\) | 0.120537 | − | 0.992709i | 0.00446432 | − | 0.0367670i | ||||
\(730\) | −6.11063 | + | 4.98917i | −0.226165 | + | 0.184658i | ||||
\(731\) | 1.15017 | + | 5.63393i | 0.0425408 | + | 0.208378i | ||||
\(732\) | −2.15196 | − | 7.42942i | −0.0795386 | − | 0.274599i | ||||
\(733\) | 2.71152 | + | 11.0011i | 0.100152 | + | 0.406333i | 0.999524 | − | 0.0308513i | \(-0.00982182\pi\) |
−0.899372 | + | 0.437185i | \(0.855976\pi\) | |||||||
\(734\) | −4.33011 | + | 53.6380i | −0.159827 | + | 1.97981i | ||||
\(735\) | −1.51467 | − | 9.32017i | −0.0558696 | − | 0.343780i | ||||
\(736\) | 3.59661 | − | 4.05974i | 0.132573 | − | 0.149644i | ||||
\(737\) | −15.2156 | + | 11.4338i | −0.560472 | + | 0.421168i | ||||
\(738\) | 5.15172 | + | 6.30971i | 0.189637 | + | 0.232264i | ||||
\(739\) | 7.06978 | − | 43.5021i | 0.260066 | − | 1.60025i | −0.447953 | − | 0.894057i | \(-0.647847\pi\) |
0.708019 | − | 0.706193i | \(-0.249589\pi\) | |||||||
\(740\) | −23.0357 | − | 5.67779i | −0.846809 | − | 0.208720i | ||||
\(741\) | 1.99342 | − | 17.1856i | 0.0732300 | − | 0.631330i | ||||
\(742\) | 50.5058 | − | 12.4486i | 1.85412 | − | 0.457001i | ||||
\(743\) | −3.57682 | − | 44.3069i | −0.131221 | − | 1.62546i | −0.642667 | − | 0.766146i | \(-0.722172\pi\) |
0.511446 | − | 0.859315i | \(-0.329110\pi\) | |||||||
\(744\) | −4.01411 | + | 1.34011i | −0.147164 | + | 0.0491307i | ||||
\(745\) | −18.7681 | − | 19.5396i | −0.687609 | − | 0.715877i | ||||
\(746\) | 59.6245i | 2.18301i | ||||||||
\(747\) | −2.48387 | + | 2.38579i | −0.0908800 | + | 0.0872914i | ||||
\(748\) | 22.9156 | + | 18.7100i | 0.837877 | + | 0.684105i | ||||
\(749\) | 15.0442 | − | 28.6644i | 0.549705 | − | 1.04738i | ||||
\(750\) | −21.5917 | + | 3.50900i | −0.788418 | + | 0.128130i | ||||
\(751\) | 2.88494 | − | 1.82432i | 0.105273 | − | 0.0665705i | −0.480792 | − | 0.876835i | \(-0.659651\pi\) |
0.586065 | + | 0.810264i | \(0.300676\pi\) | |||||||
\(752\) | 13.6400 | − | 6.47224i | 0.497398 | − | 0.236018i | ||||
\(753\) | −2.79467 | + | 4.04878i | −0.101843 | + | 0.147546i | ||||
\(754\) | −15.3985 | + | 32.9053i | −0.560780 | + | 1.19834i | ||||
\(755\) | −18.0379 | − | 26.1325i | −0.656468 | − | 0.951058i | ||||
\(756\) | 3.71170 | + | 2.14295i | 0.134993 | + | 0.0779384i | ||||
\(757\) | −7.36132 | − | 15.5137i | −0.267552 | − | 0.563853i | 0.724560 | − | 0.689212i | \(-0.242043\pi\) |
−0.992111 | + | 0.125359i | \(0.959992\pi\) | |||||||
\(758\) | 45.6849 | + | 15.2519i | 1.65935 | + | 0.553972i | ||||
\(759\) | −0.977701 | + | 3.96669i | −0.0354883 | + | 0.143982i | ||||
\(760\) | 12.2851 | − | 0.495074i | 0.445629 | − | 0.0179582i | ||||
\(761\) | −4.66835 | + | 0.188128i | −0.169228 | + | 0.00681964i | −0.124735 | − | 0.992190i | \(-0.539808\pi\) |
−0.0444925 | + | 0.999010i | \(0.514167\pi\) | |||||||
\(762\) | −8.69458 | + | 35.2753i | −0.314971 | + | 1.27789i | ||||
\(763\) | 39.0051 | + | 13.0218i | 1.41208 | + | 0.471421i | ||||
\(764\) | 10.6543 | + | 22.4534i | 0.385457 | + | 0.812334i | ||||
\(765\) | −8.35494 | − | 4.82373i | −0.302073 | − | 0.174402i | ||||
\(766\) | −24.8675 | − | 36.0267i | −0.898498 | − | 1.30170i | ||||
\(767\) | −6.80339 | + | 34.2600i | −0.245656 | + | 1.23706i | ||||
\(768\) | −11.7341 | + | 16.9998i | −0.423419 | + | 0.613428i | ||||
\(769\) | −2.74590 | + | 1.30295i | −0.0990198 | + | 0.0469855i | −0.477558 | − | 0.878600i | \(-0.658478\pi\) |
0.378538 | + | 0.925586i | \(0.376427\pi\) | |||||||
\(770\) | 45.3524 | − | 28.6791i | 1.63439 | − | 1.03352i | ||||
\(771\) | −15.4174 | + | 2.50557i | −0.555244 | + | 0.0902360i | ||||
\(772\) | −2.76964 | + | 5.27711i | −0.0996816 | + | 0.189928i | ||||
\(773\) | −4.88278 | − | 3.98667i | −0.175622 | − | 0.143391i | 0.540558 | − | 0.841307i | \(-0.318213\pi\) |
−0.716179 | + | 0.697916i | \(0.754111\pi\) | |||||||
\(774\) | −1.43609 | + | 1.37938i | −0.0516192 | + | 0.0495809i | ||||
\(775\) | − | 4.74942i | − | 0.170604i | ||||||
\(776\) | −8.93148 | − | 9.29866i | −0.320621 | − | 0.333802i | ||||
\(777\) | 34.1431 | − | 11.3986i | 1.22488 | − | 0.408924i | ||||
\(778\) | −1.16475 | − | 14.4281i | −0.0417584 | − | 0.517271i | ||||
\(779\) | 21.1064 | − | 5.20225i | 0.756214 | − | 0.186390i | ||||
\(780\) | 7.29354 | − | 3.87788i | 0.261151 | − | 0.138851i | ||||
\(781\) | 0.268281 | + | 0.0661253i | 0.00959984 | + | 0.00236615i | ||||
\(782\) | −1.32408 | + | 8.14741i | −0.0473491 | + | 0.291351i | ||||
\(783\) | 3.54415 | + | 4.34080i | 0.126658 | + | 0.155127i | ||||
\(784\) | 20.0930 | − | 15.0989i | 0.717608 | − | 0.539248i | ||||
\(785\) | −21.5580 | + | 24.3340i | −0.769440 | + | 0.868518i | ||||
\(786\) | −0.471208 | − | 2.89946i | −0.0168074 | − | 0.103420i | ||||
\(787\) | −2.94016 | + | 36.4204i | −0.104805 | + | 1.29825i | 0.704013 | + | 0.710187i | \(0.251390\pi\) |
−0.808818 | + | 0.588059i | \(0.799892\pi\) | |||||||
\(788\) | 6.10067 | + | 24.7514i | 0.217327 | + | 0.881731i | ||||
\(789\) | 6.65176 | + | 22.9645i | 0.236809 | + | 0.817559i | ||||
\(790\) | −6.09273 | − | 29.8442i | −0.216770 | − | 1.06181i | ||||
\(791\) | 31.8429 | − | 25.9989i | 1.13220 | − | 0.924415i | ||||
\(792\) | 0.768104 | − | 6.32591i | 0.0272934 | − | 0.224781i | ||||
\(793\) | 21.6906 | − | 6.40883i | 0.770257 | − | 0.227584i | ||||
\(794\) | −4.63998 | − | 38.2136i | −0.164667 | − | 1.35615i | ||||
\(795\) | −11.1528 | − | 10.7124i | −0.395550 | − | 0.379931i | ||||
\(796\) | 14.4483 | − | 15.0423i | 0.512107 | − | 0.533160i | ||||
\(797\) | 4.61104 | − | 9.71756i | 0.163331 | − | 0.344214i | −0.805240 | − | 0.592949i | \(-0.797964\pi\) |
0.968572 | + | 0.248735i | \(0.0800149\pi\) | |||||||
\(798\) | 24.6809 | − | 17.0360i | 0.873694 | − | 0.603067i | ||||
\(799\) | −8.47149 | + | 13.3966i | −0.299700 | + | 0.473937i | ||||
\(800\) | −5.70374 | − | 7.59030i | −0.201658 | − | 0.268358i | ||||
\(801\) | −5.23415 | − | 9.97284i | −0.184940 | − | 0.352373i | ||||
\(802\) | −12.7190 | + | 62.3017i | −0.449123 | + | 2.19995i | ||||
\(803\) | 10.8756 | − | 0.877972i | 0.383793 | − | 0.0309829i | ||||
\(804\) | −4.87823 | − | 1.41300i | −0.172042 | − | 0.0498325i | ||||
\(805\) | 5.05599 | + | 2.65359i | 0.178200 | + | 0.0935267i | ||||
\(806\) | 6.40082 | + | 18.8365i | 0.225459 | + | 0.663486i | ||||
\(807\) | −5.71896 | + | 3.00154i | −0.201317 | + | 0.105659i | ||||
\(808\) | −1.94309 | + | 0.396684i | −0.0683576 | + | 0.0139553i | ||||
\(809\) | −18.8707 | − | 14.1804i | −0.663459 | − | 0.498557i | 0.214852 | − | 0.976647i | \(-0.431073\pi\) |
−0.878311 | + | 0.478089i | \(0.841330\pi\) | |||||||
\(810\) | −0.134523 | − | 3.33815i | −0.00472666 | − | 0.117291i | ||||
\(811\) | 24.9630 | − | 9.46721i | 0.876569 | − | 0.332439i | 0.125050 | − | 0.992150i | \(-0.460091\pi\) |
0.751519 | + | 0.659712i | \(0.229322\pi\) | |||||||
\(812\) | −23.0695 | + | 6.68215i | −0.809579 | + | 0.234497i | ||||
\(813\) | −12.4864 | − | 2.54912i | −0.437917 | − | 0.0894014i | ||||
\(814\) | 57.0555 | + | 64.4023i | 1.99979 | + | 2.25730i | ||||
\(815\) | −3.49419 | + | 4.27960i | −0.122396 | + | 0.149908i | ||||
\(816\) | 1.03401 | − | 25.6587i | 0.0361975 | − | 0.898233i | ||||
\(817\) | 1.68275 | + | 5.04045i | 0.0588719 | + | 0.176343i | ||||
\(818\) | −4.08277 | + | 3.61702i | −0.142751 | + | 0.126466i | ||||
\(819\) | −6.20809 | + | 10.8869i | −0.216928 | + | 0.380420i | ||||
\(820\) | 7.76873 | + | 6.88249i | 0.271296 | + | 0.240347i | ||||
\(821\) | −5.35277 | + | 12.5634i | −0.186813 | + | 0.438466i | −0.986882 | − | 0.161442i | \(-0.948386\pi\) |
0.800069 | + | 0.599907i | \(0.204796\pi\) | |||||||
\(822\) | 19.3644 | − | 33.5401i | 0.675411 | − | 1.16985i | ||||
\(823\) | −14.5149 | − | 25.1405i | −0.505957 | − | 0.876343i | −0.999976 | − | 0.00689205i | \(-0.997806\pi\) |
0.494019 | − | 0.869451i | \(-0.335527\pi\) | |||||||
\(824\) | 4.65598 | − | 0.565338i | 0.162199 | − | 0.0196945i | ||||
\(825\) | 6.46117 | + | 3.06586i | 0.224949 | + | 0.106740i | ||||
\(826\) | −52.4347 | + | 30.2732i | −1.82444 | + | 1.05334i | ||||
\(827\) | −38.5232 | − | 26.5907i | −1.33958 | − | 0.924648i | −0.339710 | − | 0.940530i | \(-0.610329\pi\) |
−0.999874 | + | 0.0158820i | \(0.994944\pi\) | |||||||
\(828\) | −1.00293 | + | 0.427307i | −0.0348541 | + | 0.0148499i | ||||
\(829\) | 0.280253 | + | 0.0455456i | 0.00973360 | + | 0.00158186i | 0.165276 | − | 0.986247i | \(-0.447148\pi\) |
−0.155543 | + | 0.987829i | \(0.549713\pi\) | |||||||
\(830\) | −6.91223 | + | 9.19851i | −0.239927 | + | 0.319285i | ||||
\(831\) | −6.10064 | − | 16.0861i | −0.211629 | − | 0.558020i | ||||
\(832\) | 3.39199 | + | 2.31461i | 0.117596 | + | 0.0802446i | ||||
\(833\) | −9.35695 | + | 24.6722i | −0.324199 | + | 0.854842i | ||||
\(834\) | −18.0671 | − | 28.5708i | −0.625611 | − | 0.989325i | ||||
\(835\) | −25.7118 | − | 10.9548i | −0.889793 | − | 0.379105i | ||||
\(836\) | 23.1069 | + | 14.6119i | 0.799170 | + | 0.505365i | ||||
\(837\) | 3.04631 | + | 0.369889i | 0.105296 | + | 0.0127852i | ||||
\(838\) | 1.80125 | + | 4.22769i | 0.0622232 | + | 0.146043i | ||||
\(839\) | 9.94692 | − | 29.7947i | 0.343406 | − | 1.02863i | −0.625294 | − | 0.780390i | \(-0.715021\pi\) |
0.968699 | − | 0.248236i | \(-0.0798510\pi\) | |||||||
\(840\) | −8.32769 | − | 3.15828i | −0.287333 | − | 0.108971i | ||||
\(841\) | −2.39574 | − | 0.193404i | −0.0826118 | − | 0.00666912i | ||||
\(842\) | −19.1958 | + | 66.2718i | −0.661533 | + | 2.28388i | ||||
\(843\) | 13.2494 | + | 0.533932i | 0.456333 | + | 0.0183896i | ||||
\(844\) | 20.8345 | 0.717152 | ||||||||
\(845\) | 11.4535 | + | 21.2663i | 0.394012 | + | 0.731583i | ||||
\(846\) | −5.48891 | −0.188713 | ||||||||
\(847\) | −35.9530 | − | 1.44886i | −1.23536 | − | 0.0497834i | ||||
\(848\) | 11.4521 | − | 39.5373i | 0.393268 | − | 1.35772i | ||||
\(849\) | −7.26037 | − | 0.586118i | −0.249175 | − | 0.0201155i | ||||
\(850\) | 13.5105 | + | 5.12386i | 0.463406 | + | 0.175747i | ||||
\(851\) | −2.89935 | + | 8.68463i | −0.0993886 | + | 0.297705i | ||||
\(852\) | 0.0289002 | + | 0.0678313i | 0.000990105 | + | 0.00232386i | ||||
\(853\) | −33.9655 | − | 4.12416i | −1.16296 | − | 0.141208i | −0.483784 | − | 0.875187i | \(-0.660738\pi\) |
−0.679172 | + | 0.733979i | \(0.737661\pi\) | |||||||
\(854\) | 33.1362 | + | 20.9541i | 1.13390 | + | 0.717034i | ||||
\(855\) | −8.20215 | − | 3.49461i | −0.280508 | − | 0.119513i | ||||
\(856\) | −6.86452 | − | 10.8554i | −0.234625 | − | 0.371029i | ||||
\(857\) | −5.23823 | + | 13.8121i | −0.178934 | + | 0.471811i | −0.994235 | − | 0.107227i | \(-0.965803\pi\) |
0.815300 | + | 0.579039i | \(0.196572\pi\) | |||||||
\(858\) | −29.7572 | − | 3.45164i | −1.01590 | − | 0.117837i | ||||
\(859\) | 17.5386 | + | 46.2456i | 0.598410 | + | 1.57788i | 0.801032 | + | 0.598621i | \(0.204284\pi\) |
−0.202622 | + | 0.979257i | \(0.564946\pi\) | |||||||
\(860\) | −1.52418 | + | 2.02831i | −0.0519740 | + | 0.0691648i | ||||
\(861\) | −15.5429 | − | 2.52597i | −0.529701 | − | 0.0860847i | ||||
\(862\) | −35.6832 | + | 15.2032i | −1.21537 | + | 0.517823i | ||||
\(863\) | −2.59568 | − | 1.79167i | −0.0883579 | − | 0.0609891i | 0.523067 | − | 0.852292i | \(-0.324788\pi\) |
−0.611425 | + | 0.791303i | \(0.709403\pi\) | |||||||
\(864\) | 5.31268 | − | 3.06728i | 0.180741 | − | 0.104351i | ||||
\(865\) | 28.1300 | + | 13.3478i | 0.956448 | + | 0.453840i | ||||
\(866\) | 33.8712 | − | 4.11271i | 1.15099 | − | 0.139756i | ||||
\(867\) | 4.97993 | + | 8.62549i | 0.169127 | + | 0.292937i | ||||
\(868\) | −6.57604 | + | 11.3900i | −0.223205 | + | 0.386603i | ||||
\(869\) | −16.5133 | + | 38.7582i | −0.560177 | + | 1.31478i | ||||
\(870\) | 14.0135 | + | 12.4149i | 0.475102 | + | 0.420903i | ||||
\(871\) | 4.05537 | − | 14.2865i | 0.137411 | − | 0.484080i | ||||
\(872\) | 12.2118 | − | 10.8187i | 0.413543 | − | 0.366368i | ||||
\(873\) | 2.96063 | + | 8.86817i | 0.100202 | + | 0.300142i | ||||
\(874\) | −0.307154 | + | 7.62194i | −0.0103896 | + | 0.257816i | ||||
\(875\) | 26.7445 | − | 32.7561i | 0.904129 | − | 1.10736i | ||||
\(876\) | 1.93070 | + | 2.17931i | 0.0652323 | + | 0.0736320i | ||||
\(877\) | −4.04931 | − | 0.826674i | −0.136736 | − | 0.0279148i | 0.131170 | − | 0.991360i | \(-0.458127\pi\) |
−0.267906 | + | 0.963445i | \(0.586332\pi\) | |||||||
\(878\) | −41.6850 | + | 12.0742i | −1.40680 | + | 0.407485i | ||||
\(879\) | 20.6858 | − | 7.84509i | 0.697715 | − | 0.264608i | ||||
\(880\) | −1.70977 | − | 42.4275i | −0.0576363 | − | 1.43023i | ||||
\(881\) | 5.62699 | + | 4.22841i | 0.189578 | + | 0.142459i | 0.691294 | − | 0.722574i | \(-0.257041\pi\) |
−0.501715 | + | 0.865033i | \(0.667298\pi\) | |||||||
\(882\) | −8.95300 | + | 1.82777i | −0.301463 | + | 0.0615442i | ||||
\(883\) | 7.31754 | − | 3.84054i | 0.246255 | − | 0.129244i | −0.337081 | − | 0.941476i | \(-0.609440\pi\) |
0.583336 | + | 0.812231i | \(0.301747\pi\) | |||||||
\(884\) | −23.0696 | − | 0.805998i | −0.775914 | − | 0.0271086i | ||||
\(885\) | 15.9381 | + | 8.36494i | 0.535752 | + | 0.281184i | ||||
\(886\) | −51.4048 | − | 14.8896i | −1.72698 | − | 0.500225i | ||||
\(887\) | 39.8615 | − | 3.21795i | 1.33842 | − | 0.108048i | 0.609574 | − | 0.792729i | \(-0.291340\pi\) |
0.728843 | + | 0.684681i | \(0.240058\pi\) | |||||||
\(888\) | 2.85660 | − | 13.9925i | 0.0958611 | − | 0.469559i | ||||
\(889\) | −32.6389 | − | 62.1882i | −1.09467 | − | 2.08573i | ||||
\(890\) | −22.6047 | − | 30.0814i | −0.757712 | − | 1.00833i | ||||
\(891\) | −2.46967 | + | 3.90546i | −0.0827369 | + | 0.130838i | ||||
\(892\) | 28.8820 | − | 19.9358i | 0.967040 | − | 0.667499i | ||||
\(893\) | −6.27947 | + | 13.2337i | −0.210134 | + | 0.442849i | ||||
\(894\) | −18.1623 | + | 18.9090i | −0.607438 | + | 0.632410i | ||||
\(895\) | −14.7713 | − | 14.1880i | −0.493749 | − | 0.474252i | ||||
\(896\) | −4.28245 | − | 35.2691i | −0.143066 | − | 1.17826i | ||||
\(897\) | −1.26519 | − | 2.92596i | −0.0422433 | − | 0.0976950i | ||||
\(898\) | 4.16310 | − | 34.2862i | 0.138925 | − | 1.14415i | ||||
\(899\) | −13.3205 | + | 10.8759i | −0.444265 | + | 0.362731i | ||||
\(900\) | 0.381723 | + | 1.86980i | 0.0127241 | + | 0.0623268i | ||||
\(901\) | 12.0231 | + | 41.5086i | 0.400548 | + | 1.38285i | ||||
\(902\) | −9.00779 | − | 36.5461i | −0.299927 | − | 1.21685i | ||||
\(903\) | 0.309744 | − | 3.83687i | 0.0103076 | − | 0.127683i | ||||
\(904\) | −2.61626 | − | 16.0985i | −0.0870156 | − | 0.535428i | ||||
\(905\) | 11.0536 | − | 12.4769i | 0.367434 | − | 0.414747i | ||||
\(906\) | −24.5656 | + | 18.4599i | −0.816138 | + | 0.613288i | ||||
\(907\) | −1.33334 | − | 1.63304i | −0.0442727 | − | 0.0542242i | 0.751994 | − | 0.659170i | \(-0.229092\pi\) |
−0.796267 | + | 0.604946i | \(0.793195\pi\) | |||||||
\(908\) | −0.502064 | + | 3.08933i | −0.0166616 | + | 0.102523i | ||||
\(909\) | 1.39627 | + | 0.344150i | 0.0463113 | + | 0.0114147i | ||||
\(910\) | −14.6374 | + | 39.2277i | −0.485225 | + | 1.30039i | ||||
\(911\) | 4.33754 | − | 1.06911i | 0.143709 | − | 0.0354211i | −0.166805 | − | 0.985990i | \(-0.553345\pi\) |
0.310514 | + | 0.950569i | \(0.399499\pi\) | |||||||
\(912\) | −1.90958 | − | 23.6544i | −0.0632327 | − | 0.783277i | ||||
\(913\) | 15.0954 | − | 5.03957i | 0.499584 | − | 0.166786i | ||||
\(914\) | −17.6960 | − | 18.4235i | −0.585333 | − | 0.609396i | ||||
\(915\) | − | 11.6555i | − | 0.385317i | ||||||
\(916\) | 24.4531 | − | 23.4875i | 0.807954 | − | 0.776050i | ||||
\(917\) | 4.39868 | + | 3.59141i | 0.145257 | + | 0.118599i | ||||
\(918\) | −4.33868 | + | 8.26667i | −0.143198 | + | 0.272841i | ||||
\(919\) | −41.0391 | + | 6.66950i | −1.35375 | + | 0.220006i | −0.793629 | − | 0.608402i | \(-0.791811\pi\) |
−0.560125 | + | 0.828408i | \(0.689247\pi\) | |||||||
\(920\) | 1.91473 | − | 1.21080i | 0.0631268 | − | 0.0399190i | ||||
\(921\) | −4.72049 | + | 2.23990i | −0.155545 | + | 0.0738072i | ||||
\(922\) | 25.5124 | − | 36.9611i | 0.840206 | − | 1.21725i | ||||
\(923\) | −0.197893 | + | 0.0855688i | −0.00651372 | + | 0.00281653i | ||||
\(924\) | −11.2502 | − | 16.2987i | −0.370103 | − | 0.536187i | ||||
\(925\) | 13.8803 | + | 8.01381i | 0.456382 | + | 0.263492i | ||||
\(926\) | 2.00672 | + | 4.22906i | 0.0659447 | + | 0.138976i | ||||
\(927\) | −3.22597 | − | 1.07699i | −0.105955 | − | 0.0353729i | ||||
\(928\) | −8.22704 | + | 33.3784i | −0.270066 | + | 1.09570i | ||||
\(929\) | −9.81778 | + | 0.395643i | −0.322111 | + | 0.0129806i | −0.200795 | − | 0.979633i | \(-0.564352\pi\) |
−0.121316 | + | 0.992614i | \(0.538711\pi\) | |||||||
\(930\) | 10.2437 | − | 0.412809i | 0.335905 | − | 0.0135365i | ||||
\(931\) | −5.83576 | + | 23.6766i | −0.191259 | + | 0.775970i | ||||
\(932\) | −18.8181 | − | 6.28241i | −0.616408 | − | 0.205787i | ||||
\(933\) | 3.72922 | + | 7.85916i | 0.122089 | + | 0.257297i | ||||
\(934\) | 16.8726 | + | 9.74140i | 0.552088 | + | 0.318748i | ||||
\(935\) | 25.3238 | + | 36.6878i | 0.828176 | + | 1.19982i | ||||
\(936\) | 2.50915 | + | 4.29274i | 0.0820141 | + | 0.140313i | ||||
\(937\) | 21.7368 | − | 31.4912i | 0.710111 | − | 1.02877i | −0.287368 | − | 0.957820i | \(-0.592780\pi\) |
0.997480 | − | 0.0709536i | \(-0.0226042\pi\) | |||||||
\(938\) | 23.2574 | − | 11.0358i | 0.759379 | − | 0.360330i | ||||
\(939\) | 13.6511 | − | 8.63244i | 0.445487 | − | 0.281709i | ||||
\(940\) | −6.90316 | + | 1.12187i | −0.225156 | + | 0.0365915i | ||||
\(941\) | −15.6873 | + | 29.8896i | −0.511391 | + | 0.974374i | 0.483684 | + | 0.875243i | \(0.339299\pi\) |
−0.995074 | + | 0.0991309i | \(0.968394\pi\) | |||||||
\(942\) | 24.3695 | + | 19.8971i | 0.794002 | + | 0.648282i | ||||
\(943\) | 2.88867 | − | 2.77461i | 0.0940681 | − | 0.0903536i | ||||
\(944\) | 47.9118i | 1.55940i | ||||||||
\(945\) | 4.47387 | + | 4.65779i | 0.145535 | + | 0.151518i | ||||
\(946\) | 8.72763 | − | 2.91371i | 0.283760 | − | 0.0947329i | ||||
\(947\) | −1.07781 | − | 13.3511i | −0.0350242 | − | 0.433853i | −0.990378 | − | 0.138389i | \(-0.955808\pi\) |
0.955354 | − | 0.295464i | \(-0.0954744\pi\) | |||||||
\(948\) | −10.9153 | + | 2.69037i | −0.354512 | + | 0.0873793i | ||||
\(949\) | −6.34229 | + | 5.67966i | −0.205879 | + | 0.184370i | ||||
\(950\) | 12.9653 | + | 3.19566i | 0.420650 | + | 0.103681i | ||||
\(951\) | −2.75380 | + | 16.9448i | −0.0892980 | + | 0.549472i | ||||
\(952\) | 15.7410 | + | 19.2793i | 0.510170 | + | 0.624845i | ||||
\(953\) | 4.82100 | − | 3.62275i | 0.156167 | − | 0.117352i | −0.519786 | − | 0.854296i | \(-0.673988\pi\) |
0.675954 | + | 0.736944i | \(0.263732\pi\) | |||||||
\(954\) | −9.92369 | + | 11.2015i | −0.321291 | + | 0.362663i | ||||
\(955\) | 6.00747 | + | 36.9655i | 0.194397 | + | 1.19617i | ||||
\(956\) | 0.790297 | − | 9.78959i | 0.0255600 | − | 0.316618i | ||||
\(957\) | −6.19696 | − | 25.1420i | −0.200319 | − | 0.812727i | ||||
\(958\) | −7.77615 | − | 26.8464i | −0.251236 | − | 0.867367i | ||||
\(959\) | 14.9756 | + | 73.3552i | 0.483587 | + | 2.36876i | ||||
\(960\) | 1.63919 | − | 1.33836i | 0.0529047 | − | 0.0431953i | ||||
\(961\) | 2.60157 | − | 21.4258i | 0.0839215 | − | 0.691155i | ||||
\(962\) | −65.8504 | − | 13.0766i | −2.12310 | − | 0.421608i | ||||
\(963\) | 1.12260 | + | 9.24548i | 0.0361754 | + | 0.297931i | ||||
\(964\) | 5.92102 | + | 5.68722i | 0.190703 | + | 0.183173i | ||||
\(965\) | −6.22114 | + | 6.47689i | −0.200266 | + | 0.208499i | ||||
\(966\) | 2.36884 | − | 4.99223i | 0.0762163 | − | 0.160622i | ||||
\(967\) | 41.3112 | − | 28.5151i | 1.32848 | − | 0.916983i | 0.328854 | − | 0.944381i | \(-0.393338\pi\) |
0.999625 | + | 0.0273982i | \(0.00872221\pi\) | |||||||
\(968\) | −7.62996 | + | 12.0658i | −0.245236 | + | 0.387810i | ||||
\(969\) | 14.9673 | + | 19.9178i | 0.480818 | + | 0.639853i | ||||
\(970\) | 14.5155 | + | 27.6571i | 0.466066 | + | 0.888015i | ||||
\(971\) | −3.57454 | + | 17.5092i | −0.114712 | + | 0.561898i | 0.881290 | + | 0.472575i | \(0.156676\pi\) |
−0.996003 | + | 0.0893232i | \(0.971530\pi\) | |||||||
\(972\) | −1.22903 | + | 0.0992178i | −0.0394212 | + | 0.00318241i | ||||
\(973\) | 62.7678 | + | 18.1809i | 2.01224 | + | 0.582853i | ||||
\(974\) | −0.278139 | − | 0.145979i | −0.00891215 | − | 0.00467746i | ||||
\(975\) | −5.46151 | + | 1.14546i | −0.174908 | + | 0.0366842i | ||||
\(976\) | 27.4707 | − | 14.4177i | 0.879316 | − | 0.461501i | ||||
\(977\) | −0.107543 | + | 0.0219551i | −0.00344061 | + | 0.000702406i | −0.201746 | − | 0.979438i | \(-0.564661\pi\) |
0.198305 | + | 0.980140i | \(0.436456\pi\) | |||||||
\(978\) | 4.27427 | + | 3.21190i | 0.136676 | + | 0.102705i | ||||
\(979\) | 2.09560 | + | 52.0017i | 0.0669756 | + | 1.66198i | ||||
\(980\) | −10.8862 | + | 4.12860i | −0.347748 | + | 0.131883i | ||||
\(981\) | −11.3633 | + | 3.29142i | −0.362802 | + | 0.105087i | ||||
\(982\) | −60.8412 | − | 12.4208i | −1.94152 | − | 0.396364i | ||||
\(983\) | 8.25497 | + | 9.31793i | 0.263293 | + | 0.297196i | 0.865259 | − | 0.501326i | \(-0.167154\pi\) |
−0.601966 | + | 0.798522i | \(0.705616\pi\) | |||||||
\(984\) | −3.95121 | + | 4.83935i | −0.125960 | + | 0.154273i | ||||
\(985\) | −1.54676 | + | 38.3825i | −0.0492840 | + | 1.22297i | ||||
\(986\) | −16.5675 | − | 49.6257i | −0.527617 | − | 1.58041i | ||||
\(987\) | 7.94233 | − | 7.03629i | 0.252807 | − | 0.223967i | ||||
\(988\) | −21.2538 | + | 1.83036i | −0.676174 | + | 0.0582314i | ||||
\(989\) | 0.732882 | + | 0.649277i | 0.0233043 | + | 0.0206458i | ||||
\(990\) | −6.05098 | + | 14.2022i | −0.192313 | + | 0.451375i | ||||
\(991\) | −11.3721 | + | 19.6971i | −0.361247 | + | 0.625699i | −0.988166 | − | 0.153386i | \(-0.950982\pi\) |
0.626919 | + | 0.779084i | \(0.284316\pi\) | |||||||
\(992\) | 9.41250 | + | 16.3029i | 0.298847 | + | 0.517619i | ||||
\(993\) | −14.1678 | + | 1.72028i | −0.449600 | + | 0.0545913i | ||||
\(994\) | −0.337642 | − | 0.160213i | −0.0107093 | − | 0.00508165i | ||||
\(995\) | 27.2187 | − | 15.7147i | 0.862891 | − | 0.498190i | ||||
\(996\) | 3.49492 | + | 2.41237i | 0.110741 | + | 0.0764388i | ||||
\(997\) | 8.20975 | − | 3.49785i | 0.260005 | − | 0.110778i | −0.258031 | − | 0.966137i | \(-0.583074\pi\) |
0.518036 | + | 0.855359i | \(0.326663\pi\) | |||||||
\(998\) | −60.6344 | − | 9.85404i | −1.91935 | − | 0.311924i | ||||
\(999\) | −6.22112 | + | 8.27880i | −0.196827 | + | 0.261930i |
(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 | 507.2.t.b.4.4 | ✓ | 360 | |
169.127 | even | 78 | inner | 507.2.t.b.127.4 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.t.b.4.4 | ✓ | 360 | 1.1 | even | 1 | trivial | |
507.2.t.b.127.4 | yes | 360 | 169.127 | even | 78 | inner |