Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 98.11 |
Dual form | 98.2.g.b.9.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.733052 | + | 0.680173i | −0.518346 | + | 0.480955i | ||||
\(3\) | 1.10442 | − | 0.166465i | 0.637640 | − | 0.0961088i | 0.177737 | − | 0.984078i | \(-0.443122\pi\) |
0.459903 | + | 0.887969i | \(0.347884\pi\) | |||||||
\(4\) | 0.0747301 | − | 0.997204i | 0.0373650 | − | 0.498602i | ||||
\(5\) | 0.578784 | − | 1.47472i | 0.258840 | − | 0.659514i | −0.741089 | − | 0.671407i | \(-0.765690\pi\) |
0.999929 | + | 0.0118926i | \(0.00378561\pi\) | |||||||
\(6\) | −0.696376 | + | 0.873227i | −0.284294 | + | 0.356494i | ||||
\(7\) | 2.58946 | + | 0.542854i | 0.978724 | + | 0.205179i | ||||
\(8\) | 0.623490 | + | 0.781831i | 0.220437 | + | 0.276419i | ||||
\(9\) | −1.67467 | + | 0.516569i | −0.558225 | + | 0.172190i | ||||
\(10\) | 0.578784 | + | 1.47472i | 0.183028 | + | 0.466347i | ||||
\(11\) | −0.734902 | − | 0.226687i | −0.221581 | − | 0.0683487i | 0.181977 | − | 0.983303i | \(-0.441750\pi\) |
−0.403558 | + | 0.914954i | \(0.632227\pi\) | |||||||
\(12\) | −0.0834660 | − | 1.11378i | −0.0240946 | − | 0.321520i | ||||
\(13\) | 0.735199 | + | 3.22112i | 0.203908 | + | 0.893378i | 0.968530 | + | 0.248899i | \(0.0800686\pi\) |
−0.764622 | + | 0.644479i | \(0.777074\pi\) | |||||||
\(14\) | −2.26744 | + | 1.36334i | −0.606000 | + | 0.364368i | ||||
\(15\) | 0.393735 | − | 1.72506i | 0.101662 | − | 0.445409i | ||||
\(16\) | −0.988831 | − | 0.149042i | −0.247208 | − | 0.0372606i | ||||
\(17\) | −0.796729 | + | 0.543201i | −0.193235 | + | 0.131745i | −0.656073 | − | 0.754698i | \(-0.727784\pi\) |
0.462838 | + | 0.886443i | \(0.346831\pi\) | |||||||
\(18\) | 0.876267 | − | 1.51774i | 0.206538 | − | 0.357735i | ||||
\(19\) | −2.06671 | − | 3.57965i | −0.474136 | − | 0.821228i | 0.525425 | − | 0.850840i | \(-0.323906\pi\) |
−0.999561 | + | 0.0296115i | \(0.990573\pi\) | |||||||
\(20\) | −1.42734 | − | 0.687372i | −0.319163 | − | 0.153701i | ||||
\(21\) | 2.95023 | + | 0.168486i | 0.643793 | + | 0.0367666i | ||||
\(22\) | 0.692907 | − | 0.333687i | 0.147728 | − | 0.0711422i | ||||
\(23\) | −6.65727 | − | 4.53885i | −1.38814 | − | 0.946416i | −0.999689 | − | 0.0249452i | \(-0.992059\pi\) |
−0.388448 | − | 0.921471i | \(-0.626989\pi\) | |||||||
\(24\) | 0.818745 | + | 0.759685i | 0.167126 | + | 0.155070i | ||||
\(25\) | 1.82546 | + | 1.69378i | 0.365091 | + | 0.338755i | ||||
\(26\) | −2.72986 | − | 1.86118i | −0.535369 | − | 0.365008i | ||||
\(27\) | −4.78244 | + | 2.30310i | −0.920381 | + | 0.443232i | ||||
\(28\) | 0.734846 | − | 2.54165i | 0.138873 | − | 0.480327i | ||||
\(29\) | −4.14643 | − | 1.99682i | −0.769973 | − | 0.370799i | 0.00729149 | − | 0.999973i | \(-0.497679\pi\) |
−0.777265 | + | 0.629174i | \(0.783393\pi\) | |||||||
\(30\) | 0.884713 | + | 1.53237i | 0.161526 | + | 0.279771i | ||||
\(31\) | −2.36886 | + | 4.10299i | −0.425460 | + | 0.736919i | −0.996463 | − | 0.0840289i | \(-0.973221\pi\) |
0.571003 | + | 0.820948i | \(0.306555\pi\) | |||||||
\(32\) | 0.826239 | − | 0.563320i | 0.146060 | − | 0.0995819i | ||||
\(33\) | −0.849379 | − | 0.128023i | −0.147858 | − | 0.0222860i | ||||
\(34\) | 0.214573 | − | 0.940107i | 0.0367990 | − | 0.161227i | ||||
\(35\) | 2.29930 | − | 3.50453i | 0.388652 | − | 0.592374i | ||||
\(36\) | 0.389976 | + | 1.70860i | 0.0649959 | + | 0.284766i | ||||
\(37\) | 0.0834174 | + | 1.11313i | 0.0137137 | + | 0.182997i | 0.999854 | + | 0.0170837i | \(0.00543817\pi\) |
−0.986140 | + | 0.165913i | \(0.946943\pi\) | |||||||
\(38\) | 3.94979 | + | 1.21835i | 0.640740 | + | 0.197642i | ||||
\(39\) | 1.34818 | + | 3.43510i | 0.215881 | + | 0.550056i | ||||
\(40\) | 1.51385 | − | 0.466960i | 0.239360 | − | 0.0738329i | ||||
\(41\) | 5.37914 | + | 6.74523i | 0.840080 | + | 1.05343i | 0.997823 | + | 0.0659471i | \(0.0210069\pi\) |
−0.157743 | + | 0.987480i | \(0.550422\pi\) | |||||||
\(42\) | −2.27727 | + | 1.88316i | −0.351391 | + | 0.290578i | ||||
\(43\) | 7.53399 | − | 9.44733i | 1.14892 | − | 1.44070i | 0.270564 | − | 0.962702i | \(-0.412790\pi\) |
0.878359 | − | 0.478002i | \(-0.158639\pi\) | |||||||
\(44\) | −0.280973 | + | 0.715906i | −0.0423582 | + | 0.107927i | ||||
\(45\) | −0.207482 | + | 2.76866i | −0.0309296 | + | 0.412727i | ||||
\(46\) | 7.96733 | − | 1.20088i | 1.17472 | − | 0.177060i | ||||
\(47\) | −3.08197 | + | 2.85965i | −0.449552 | + | 0.417123i | −0.872184 | − | 0.489178i | \(-0.837297\pi\) |
0.422632 | + | 0.906301i | \(0.361106\pi\) | |||||||
\(48\) | −1.11690 | −0.161211 | ||||||||
\(49\) | 6.41062 | + | 2.81140i | 0.915803 | + | 0.401628i | ||||
\(50\) | −2.49021 | −0.352169 | ||||||||
\(51\) | −0.789503 | + | 0.732552i | −0.110553 | + | 0.102578i | ||||
\(52\) | 3.26705 | − | 0.492429i | 0.453059 | − | 0.0682876i | ||||
\(53\) | 0.0628221 | − | 0.838303i | 0.00862928 | − | 0.115150i | −0.991226 | − | 0.132180i | \(-0.957802\pi\) |
0.999855 | + | 0.0170305i | \(0.00542125\pi\) | |||||||
\(54\) | 1.93927 | − | 4.94118i | 0.263901 | − | 0.672409i | ||||
\(55\) | −0.759649 | + | 0.952570i | −0.102431 | + | 0.128445i | ||||
\(56\) | 1.19008 | + | 2.36299i | 0.159031 | + | 0.315767i | ||||
\(57\) | −2.87842 | − | 3.60942i | −0.381256 | − | 0.478079i | ||||
\(58\) | 4.39773 | − | 1.35652i | 0.577450 | − | 0.178120i | ||||
\(59\) | 1.53865 | + | 3.92043i | 0.200316 | + | 0.510396i | 0.995367 | − | 0.0961457i | \(-0.0306515\pi\) |
−0.795052 | + | 0.606542i | \(0.792556\pi\) | |||||||
\(60\) | −1.69082 | − | 0.521548i | −0.218283 | − | 0.0673315i | ||||
\(61\) | 0.926739 | + | 12.3665i | 0.118657 | + | 1.58337i | 0.665673 | + | 0.746243i | \(0.268145\pi\) |
−0.547016 | + | 0.837122i | \(0.684236\pi\) | |||||||
\(62\) | −1.05424 | − | 4.61894i | −0.133889 | − | 0.586606i | ||||
\(63\) | −4.61693 | + | 0.428532i | −0.581678 | + | 0.0539899i | ||||
\(64\) | −0.222521 | + | 0.974928i | −0.0278151 | + | 0.121866i | ||||
\(65\) | 5.17577 | + | 0.780121i | 0.641975 | + | 0.0967621i | ||||
\(66\) | 0.709717 | − | 0.483877i | 0.0873601 | − | 0.0595611i | ||||
\(67\) | 3.04309 | − | 5.27079i | 0.371773 | − | 0.643930i | −0.618065 | − | 0.786127i | \(-0.712083\pi\) |
0.989838 | + | 0.142197i | \(0.0454166\pi\) | |||||||
\(68\) | 0.482142 | + | 0.835095i | 0.0584683 | + | 0.101270i | ||||
\(69\) | −8.10802 | − | 3.90462i | −0.976091 | − | 0.470060i | ||||
\(70\) | 0.698184 | + | 4.13292i | 0.0834489 | + | 0.493979i | ||||
\(71\) | 2.21114 | − | 1.06483i | 0.262414 | − | 0.126372i | −0.298051 | − | 0.954550i | \(-0.596337\pi\) |
0.560465 | + | 0.828178i | \(0.310622\pi\) | |||||||
\(72\) | −1.44801 | − | 0.987238i | −0.170650 | − | 0.116347i | ||||
\(73\) | −10.2470 | − | 9.50785i | −1.19932 | − | 1.11281i | −0.990876 | − | 0.134777i | \(-0.956968\pi\) |
−0.208448 | − | 0.978033i | \(-0.566841\pi\) | |||||||
\(74\) | −0.818269 | − | 0.759242i | −0.0951218 | − | 0.0882601i | ||||
\(75\) | 2.29803 | + | 1.56677i | 0.265354 | + | 0.180915i | ||||
\(76\) | −3.72409 | + | 1.79343i | −0.427182 | + | 0.205720i | ||||
\(77\) | −1.77994 | − | 0.985941i | −0.202843 | − | 0.112358i | ||||
\(78\) | −3.32474 | − | 1.60111i | −0.376453 | − | 0.181290i | ||||
\(79\) | −4.06557 | − | 7.04177i | −0.457412 | − | 0.792261i | 0.541411 | − | 0.840758i | \(-0.317890\pi\) |
−0.998823 | + | 0.0484966i | \(0.984557\pi\) | |||||||
\(80\) | −0.792115 | + | 1.37198i | −0.0885612 | + | 0.153392i | ||||
\(81\) | −0.554420 | + | 0.377997i | −0.0616023 | + | 0.0419997i | ||||
\(82\) | −8.53111 | − | 1.28586i | −0.942103 | − | 0.141999i | ||||
\(83\) | 2.61520 | − | 11.4579i | 0.287056 | − | 1.25767i | −0.601489 | − | 0.798881i | \(-0.705425\pi\) |
0.888544 | − | 0.458791i | \(-0.151717\pi\) | |||||||
\(84\) | 0.388486 | − | 2.92939i | 0.0423873 | − | 0.319623i | ||||
\(85\) | 0.339934 | + | 1.48935i | 0.0368710 | + | 0.161542i | ||||
\(86\) | 0.903007 | + | 12.0498i | 0.0973738 | + | 1.29936i | ||||
\(87\) | −4.91182 | − | 1.51510i | −0.526603 | − | 0.162435i | ||||
\(88\) | −0.280973 | − | 0.715906i | −0.0299518 | − | 0.0763159i | ||||
\(89\) | 1.72774 | − | 0.532938i | 0.183140 | − | 0.0564913i | −0.201829 | − | 0.979421i | \(-0.564688\pi\) |
0.384969 | + | 0.922930i | \(0.374212\pi\) | |||||||
\(90\) | −1.73107 | − | 2.17069i | −0.182471 | − | 0.228811i | ||||
\(91\) | 0.155175 | + | 8.74007i | 0.0162667 | + | 0.916208i | ||||
\(92\) | −5.02366 | + | 6.29947i | −0.523753 | + | 0.656765i | ||||
\(93\) | −1.93323 | + | 4.92578i | −0.200466 | + | 0.510780i | ||||
\(94\) | 0.314188 | − | 4.19255i | 0.0324060 | − | 0.432429i | ||||
\(95\) | −6.47516 | + | 0.975973i | −0.664337 | + | 0.100133i | ||||
\(96\) | 0.818745 | − | 0.759685i | 0.0835629 | − | 0.0775350i | ||||
\(97\) | 15.7253 | 1.59667 | 0.798333 | − | 0.602216i | \(-0.205716\pi\) | ||||
0.798333 | + | 0.602216i | \(0.205716\pi\) | |||||||
\(98\) | −6.61155 | + | 2.29943i | −0.667868 | + | 0.232277i | ||||
\(99\) | 1.34782 | 0.135461 | ||||||||
\(100\) | 1.82546 | − | 1.69378i | 0.182546 | − | 0.169378i | ||||
\(101\) | 9.89118 | − | 1.49085i | 0.984209 | − | 0.148346i | 0.362829 | − | 0.931856i | \(-0.381811\pi\) |
0.621379 | + | 0.783510i | \(0.286573\pi\) | |||||||
\(102\) | 0.0804850 | − | 1.07400i | 0.00796920 | − | 0.106342i | ||||
\(103\) | −0.369265 | + | 0.940872i | −0.0363847 | + | 0.0927068i | −0.947911 | − | 0.318534i | \(-0.896809\pi\) |
0.911527 | + | 0.411241i | \(0.134905\pi\) | |||||||
\(104\) | −2.05998 | + | 2.58314i | −0.201998 | + | 0.253297i | ||||
\(105\) | 1.95602 | − | 4.25325i | 0.190888 | − | 0.415074i | ||||
\(106\) | 0.524139 | + | 0.657250i | 0.0509089 | + | 0.0638377i | ||||
\(107\) | 17.0912 | − | 5.27194i | 1.65227 | − | 0.509658i | 0.678003 | − | 0.735059i | \(-0.262846\pi\) |
0.974266 | + | 0.225401i | \(0.0723693\pi\) | |||||||
\(108\) | 1.93927 | + | 4.94118i | 0.186606 | + | 0.475465i | ||||
\(109\) | −12.8078 | − | 3.95068i | −1.22676 | − | 0.378407i | −0.387367 | − | 0.921926i | \(-0.626615\pi\) |
−0.839397 | + | 0.543519i | \(0.817092\pi\) | |||||||
\(110\) | −0.0910499 | − | 1.21498i | −0.00868126 | − | 0.115843i | ||||
\(111\) | 0.277425 | + | 1.21548i | 0.0263321 | + | 0.115368i | ||||
\(112\) | −2.47963 | − | 0.922730i | −0.234303 | − | 0.0871897i | ||||
\(113\) | −3.68372 | + | 16.1394i | −0.346535 | + | 1.51827i | 0.438451 | + | 0.898755i | \(0.355527\pi\) |
−0.784986 | + | 0.619514i | \(0.787330\pi\) | |||||||
\(114\) | 4.56506 | + | 0.688072i | 0.427557 | + | 0.0644438i | ||||
\(115\) | −10.5467 | + | 7.19059i | −0.983480 | + | 0.670526i | ||||
\(116\) | −2.30110 | + | 3.98562i | −0.213651 | + | 0.370055i | ||||
\(117\) | −2.89515 | − | 5.01455i | −0.267657 | − | 0.463595i | ||||
\(118\) | −3.79448 | − | 1.82733i | −0.349310 | − | 0.168219i | ||||
\(119\) | −2.35798 | + | 0.974090i | −0.216155 | + | 0.0892947i | ||||
\(120\) | 1.59420 | − | 0.767726i | 0.145530 | − | 0.0700834i | ||||
\(121\) | −8.59993 | − | 5.86334i | −0.781812 | − | 0.533030i | ||||
\(122\) | −9.09069 | − | 8.43493i | −0.823032 | − | 0.763662i | ||||
\(123\) | 7.06370 | + | 6.55416i | 0.636912 | + | 0.590968i | ||||
\(124\) | 3.91449 | + | 2.66886i | 0.351532 | + | 0.239670i | ||||
\(125\) | 10.6911 | − | 5.14856i | 0.956241 | − | 0.460501i | ||||
\(126\) | 3.09297 | − | 3.45444i | 0.275544 | − | 0.307746i | ||||
\(127\) | −0.436049 | − | 0.209990i | −0.0386931 | − | 0.0186336i | 0.414437 | − | 0.910078i | \(-0.363978\pi\) |
−0.453130 | + | 0.891444i | \(0.649693\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 6.74808 | − | 11.6880i | 0.594135 | − | 1.02907i | ||||
\(130\) | −4.32472 | + | 2.94855i | −0.379303 | + | 0.258605i | ||||
\(131\) | 8.13962 | + | 1.22685i | 0.711162 | + | 0.107190i | 0.494654 | − | 0.869090i | \(-0.335295\pi\) |
0.216509 | + | 0.976281i | \(0.430533\pi\) | |||||||
\(132\) | −0.191140 | + | 0.837437i | −0.0166366 | + | 0.0728895i | ||||
\(133\) | −3.40845 | − | 10.3913i | −0.295550 | − | 0.901039i | ||||
\(134\) | 1.35430 | + | 5.93360i | 0.116994 | + | 0.512585i | ||||
\(135\) | 0.628425 | + | 8.38575i | 0.0540862 | + | 0.721730i | ||||
\(136\) | −0.921444 | − | 0.284228i | −0.0790131 | − | 0.0243723i | ||||
\(137\) | −2.44646 | − | 6.23349i | −0.209016 | − | 0.532563i | 0.787468 | − | 0.616356i | \(-0.211392\pi\) |
−0.996483 | + | 0.0837931i | \(0.973297\pi\) | |||||||
\(138\) | 8.59941 | − | 2.65257i | 0.732030 | − | 0.225801i | ||||
\(139\) | 7.50733 | + | 9.41389i | 0.636763 | + | 0.798476i | 0.990594 | − | 0.136833i | \(-0.0436925\pi\) |
−0.353831 | + | 0.935309i | \(0.615121\pi\) | |||||||
\(140\) | −3.32291 | − | 2.55476i | −0.280837 | − | 0.215917i | ||||
\(141\) | −2.92778 | + | 3.67132i | −0.246563 | + | 0.309181i | ||||
\(142\) | −0.896612 | + | 2.28453i | −0.0752420 | + | 0.191714i | ||||
\(143\) | 0.189887 | − | 2.53387i | 0.0158791 | − | 0.211893i | ||||
\(144\) | 1.73296 | − | 0.261202i | 0.144413 | − | 0.0217668i | ||||
\(145\) | −5.34463 | + | 4.95909i | −0.443848 | + | 0.411830i | ||||
\(146\) | 13.9786 | 1.15688 | ||||||||
\(147\) | 7.54805 | + | 2.03783i | 0.622553 | + | 0.168077i | ||||
\(148\) | 1.11625 | 0.0917551 | ||||||||
\(149\) | 6.59237 | − | 6.11683i | 0.540068 | − | 0.501110i | −0.362309 | − | 0.932058i | \(-0.618011\pi\) |
0.902377 | + | 0.430948i | \(0.141821\pi\) | |||||||
\(150\) | −2.75025 | + | 0.414534i | −0.224557 | + | 0.0338466i | ||||
\(151\) | −1.15031 | + | 15.3498i | −0.0936106 | + | 1.24915i | 0.730577 | + | 0.682830i | \(0.239251\pi\) |
−0.824188 | + | 0.566317i | \(0.808368\pi\) | |||||||
\(152\) | 1.51011 | − | 3.84770i | 0.122486 | − | 0.312089i | ||||
\(153\) | 1.05366 | − | 1.32125i | 0.0851835 | − | 0.106817i | ||||
\(154\) | 1.97540 | − | 0.487921i | 0.159182 | − | 0.0393178i | ||||
\(155\) | 4.67970 | + | 5.86816i | 0.375882 | + | 0.471342i | ||||
\(156\) | 3.52624 | − | 1.08770i | 0.282325 | − | 0.0870859i | ||||
\(157\) | −3.02278 | − | 7.70193i | −0.241244 | − | 0.614681i | 0.758052 | − | 0.652194i | \(-0.226151\pi\) |
−0.999296 | + | 0.0375137i | \(0.988056\pi\) | |||||||
\(158\) | 7.76990 | + | 2.39670i | 0.618140 | + | 0.190671i | ||||
\(159\) | −0.0701660 | − | 0.936301i | −0.00556453 | − | 0.0742535i | ||||
\(160\) | −0.352524 | − | 1.54451i | −0.0278695 | − | 0.122104i | ||||
\(161\) | −14.7748 | − | 15.3671i | −1.16442 | − | 1.21110i | ||||
\(162\) | 0.149315 | − | 0.654193i | 0.0117313 | − | 0.0513983i | ||||
\(163\) | −3.15939 | − | 0.476202i | −0.247463 | − | 0.0372990i | 0.0241395 | − | 0.999709i | \(-0.492315\pi\) |
−0.271602 | + | 0.962410i | \(0.587554\pi\) | |||||||
\(164\) | 7.12835 | − | 4.86003i | 0.556630 | − | 0.379504i | ||||
\(165\) | −0.680406 | + | 1.17850i | −0.0529695 | + | 0.0917459i | ||||
\(166\) | 5.87630 | + | 10.1781i | 0.456090 | + | 0.789970i | ||||
\(167\) | −21.5809 | − | 10.3928i | −1.66998 | − | 0.804220i | −0.997971 | − | 0.0636769i | \(-0.979717\pi\) |
−0.672009 | − | 0.740543i | \(-0.734568\pi\) | |||||||
\(168\) | 1.70771 | + | 2.41163i | 0.131753 | + | 0.186062i | ||||
\(169\) | 1.87750 | − | 0.904158i | 0.144423 | − | 0.0695506i | ||||
\(170\) | −1.26220 | − | 0.860555i | −0.0968065 | − | 0.0660016i | ||||
\(171\) | 5.31021 | + | 4.92715i | 0.406082 | + | 0.376789i | ||||
\(172\) | −8.85789 | − | 8.21893i | −0.675408 | − | 0.626687i | ||||
\(173\) | 20.3728 | + | 13.8899i | 1.54892 | + | 1.05603i | 0.970744 | + | 0.240119i | \(0.0771864\pi\) |
0.578173 | + | 0.815914i | \(0.303766\pi\) | |||||||
\(174\) | 4.63115 | − | 2.23024i | 0.351086 | − | 0.169074i | ||||
\(175\) | 3.80747 | + | 5.37692i | 0.287818 | + | 0.406457i | ||||
\(176\) | 0.692907 | + | 0.333687i | 0.0522299 | + | 0.0251526i | ||||
\(177\) | 2.35194 | + | 4.07369i | 0.176783 | + | 0.306197i | ||||
\(178\) | −0.904035 | + | 1.56583i | −0.0677603 | + | 0.117364i | ||||
\(179\) | −4.09779 | + | 2.79382i | −0.306283 | + | 0.208820i | −0.706701 | − | 0.707512i | \(-0.749817\pi\) |
0.400418 | + | 0.916333i | \(0.368865\pi\) | |||||||
\(180\) | 2.74541 | + | 0.413804i | 0.204631 | + | 0.0308431i | ||||
\(181\) | 0.992491 | − | 4.34839i | 0.0737713 | − | 0.323213i | −0.924555 | − | 0.381049i | \(-0.875563\pi\) |
0.998326 | + | 0.0578359i | \(0.0184200\pi\) | |||||||
\(182\) | −6.05851 | − | 6.30138i | −0.449087 | − | 0.467089i | ||||
\(183\) | 3.08210 | + | 13.5036i | 0.227836 | + | 0.998213i | ||||
\(184\) | −0.602124 | − | 8.03479i | −0.0443892 | − | 0.592333i | ||||
\(185\) | 1.68983 | + | 0.521244i | 0.124239 | + | 0.0383226i | ||||
\(186\) | −1.93323 | − | 4.92578i | −0.141751 | − | 0.361176i | ||||
\(187\) | 0.708654 | − | 0.218591i | 0.0518219 | − | 0.0159849i | ||||
\(188\) | 2.62134 | + | 3.28706i | 0.191181 | + | 0.239733i | ||||
\(189\) | −13.6342 | + | 3.36763i | −0.991741 | + | 0.244959i | ||||
\(190\) | 4.08280 | − | 5.11967i | 0.296197 | − | 0.371420i | ||||
\(191\) | −4.20684 | + | 10.7189i | −0.304396 | + | 0.775589i | 0.694053 | + | 0.719924i | \(0.255823\pi\) |
−0.998449 | + | 0.0556654i | \(0.982272\pi\) | |||||||
\(192\) | −0.0834660 | + | 1.11378i | −0.00602364 | + | 0.0803799i | ||||
\(193\) | −24.2108 | + | 3.64920i | −1.74273 | + | 0.262675i | −0.941823 | − | 0.336108i | \(-0.890889\pi\) |
−0.800911 | + | 0.598783i | \(0.795651\pi\) | |||||||
\(194\) | −11.5275 | + | 10.6959i | −0.827625 | + | 0.767924i | ||||
\(195\) | 5.84611 | 0.418649 | ||||||||
\(196\) | 3.28260 | − | 6.18260i | 0.234472 | − | 0.441614i | ||||
\(197\) | −12.2255 | −0.871031 | −0.435515 | − | 0.900181i | \(-0.643434\pi\) | ||||
−0.435515 | + | 0.900181i | \(0.643434\pi\) | |||||||
\(198\) | −0.988022 | + | 0.916751i | −0.0702157 | + | 0.0651506i | ||||
\(199\) | 3.44434 | − | 0.519151i | 0.244163 | − | 0.0368016i | −0.0258207 | − | 0.999667i | \(-0.508220\pi\) |
0.269983 | + | 0.962865i | \(0.412982\pi\) | |||||||
\(200\) | −0.186094 | + | 2.48325i | −0.0131588 | + | 0.175592i | ||||
\(201\) | 2.48347 | − | 6.32777i | 0.175170 | − | 0.446326i | ||||
\(202\) | −6.23671 | + | 7.82058i | −0.438813 | + | 0.550254i | ||||
\(203\) | −9.65305 | − | 7.42158i | −0.677511 | − | 0.520893i | ||||
\(204\) | 0.671504 | + | 0.842039i | 0.0470147 | + | 0.0589545i | ||||
\(205\) | 13.0607 | − | 4.02868i | 0.912197 | − | 0.281375i | ||||
\(206\) | −0.369265 | − | 0.940872i | −0.0257279 | − | 0.0655536i | ||||
\(207\) | 13.4934 | + | 4.16216i | 0.937856 | + | 0.289290i | ||||
\(208\) | −0.246905 | − | 3.29472i | −0.0171198 | − | 0.228448i | ||||
\(209\) | 0.707370 | + | 3.09919i | 0.0489298 | + | 0.214375i | ||||
\(210\) | 1.45908 | + | 4.44828i | 0.100686 | + | 0.306960i | ||||
\(211\) | 2.74992 | − | 12.0482i | 0.189312 | − | 0.829432i | −0.787667 | − | 0.616101i | \(-0.788711\pi\) |
0.976980 | − | 0.213331i | \(-0.0684314\pi\) | |||||||
\(212\) | −0.831264 | − | 0.125293i | −0.0570915 | − | 0.00860516i | ||||
\(213\) | 2.26478 | − | 1.54410i | 0.155180 | − | 0.105800i | ||||
\(214\) | −8.94291 | + | 15.4896i | −0.611325 | + | 1.05885i | ||||
\(215\) | −9.57159 | − | 16.5785i | −0.652777 | − | 1.13064i | ||||
\(216\) | −4.78244 | − | 2.30310i | −0.325404 | − | 0.156706i | ||||
\(217\) | −8.36141 | + | 9.33859i | −0.567609 | + | 0.633945i | ||||
\(218\) | 12.0759 | − | 5.81546i | 0.817885 | − | 0.393872i | ||||
\(219\) | −12.8998 | − | 8.79494i | −0.871688 | − | 0.594307i | ||||
\(220\) | 0.893138 | + | 0.828711i | 0.0602153 | + | 0.0558717i | ||||
\(221\) | −2.33547 | − | 2.16700i | −0.157101 | − | 0.145768i | ||||
\(222\) | −1.03010 | − | 0.702313i | −0.0691360 | − | 0.0471361i | ||||
\(223\) | −13.5376 | + | 6.51935i | −0.906543 | + | 0.436568i | −0.828248 | − | 0.560362i | \(-0.810662\pi\) |
−0.0782951 | + | 0.996930i | \(0.524948\pi\) | |||||||
\(224\) | 2.44531 | − | 1.01017i | 0.163384 | − | 0.0674947i | ||||
\(225\) | −3.93200 | − | 1.89355i | −0.262133 | − | 0.126237i | ||||
\(226\) | −8.27724 | − | 14.3366i | −0.550594 | − | 0.953656i | ||||
\(227\) | 5.32852 | − | 9.22927i | 0.353667 | − | 0.612568i | −0.633222 | − | 0.773970i | \(-0.718268\pi\) |
0.986889 | + | 0.161402i | \(0.0516014\pi\) | |||||||
\(228\) | −3.81443 | + | 2.60064i | −0.252617 | + | 0.172231i | ||||
\(229\) | −15.5774 | − | 2.34792i | −1.02938 | − | 0.155155i | −0.387431 | − | 0.921899i | \(-0.626638\pi\) |
−0.641953 | + | 0.766744i | \(0.721876\pi\) | |||||||
\(230\) | 2.84040 | − | 12.4446i | 0.187291 | − | 0.820574i | ||||
\(231\) | −2.12994 | − | 0.792600i | −0.140140 | − | 0.0521492i | ||||
\(232\) | −1.02408 | − | 4.48681i | −0.0672344 | − | 0.294573i | ||||
\(233\) | 1.55884 | + | 20.8012i | 0.102123 | + | 1.36273i | 0.779179 | + | 0.626802i | \(0.215637\pi\) |
−0.677056 | + | 0.735932i | \(0.736744\pi\) | |||||||
\(234\) | 5.53305 | + | 1.70672i | 0.361707 | + | 0.111572i | ||||
\(235\) | 2.43339 | + | 6.20017i | 0.158737 | + | 0.404454i | ||||
\(236\) | 4.02445 | − | 1.24138i | 0.261969 | − | 0.0808068i | ||||
\(237\) | −5.66233 | − | 7.10033i | −0.367808 | − | 0.461216i | ||||
\(238\) | 1.06597 | − | 2.31789i | 0.0690966 | − | 0.150246i | ||||
\(239\) | −6.64125 | + | 8.32786i | −0.429586 | + | 0.538684i | −0.948765 | − | 0.315981i | \(-0.897666\pi\) |
0.519179 | + | 0.854666i | \(0.326238\pi\) | |||||||
\(240\) | −0.646444 | + | 1.64711i | −0.0417278 | + | 0.106321i | ||||
\(241\) | 0.462332 | − | 6.16939i | 0.0297814 | − | 0.397406i | −0.962316 | − | 0.271934i | \(-0.912337\pi\) |
0.992097 | − | 0.125471i | \(-0.0400443\pi\) | |||||||
\(242\) | 10.2923 | − | 1.55131i | 0.661613 | − | 0.0997221i | ||||
\(243\) | 11.1240 | − | 10.3215i | 0.713602 | − | 0.662126i | ||||
\(244\) | 12.4012 | 0.793903 | ||||||||
\(245\) | 7.85639 | − | 7.82667i | 0.501926 | − | 0.500028i | ||||
\(246\) | −9.63602 | −0.614370 | ||||||||
\(247\) | 10.0110 | − | 9.28889i | 0.636987 | − | 0.591038i | ||||
\(248\) | −4.68481 | + | 0.706122i | −0.297486 | + | 0.0448388i | ||||
\(249\) | 0.980943 | − | 13.0898i | 0.0621648 | − | 0.829531i | ||||
\(250\) | −4.33522 | + | 11.0460i | −0.274183 | + | 0.698608i | ||||
\(251\) | −11.2991 | + | 14.1686i | −0.713190 | + | 0.894313i | −0.997931 | − | 0.0642920i | \(-0.979521\pi\) |
0.284741 | + | 0.958605i | \(0.408093\pi\) | |||||||
\(252\) | 0.0823101 | + | 4.63604i | 0.00518505 | + | 0.292043i | ||||
\(253\) | 3.86354 | + | 4.84473i | 0.242899 | + | 0.304585i | ||||
\(254\) | 0.462476 | − | 0.142655i | 0.0290184 | − | 0.00895098i | ||||
\(255\) | 0.623356 | + | 1.58828i | 0.0390361 | + | 0.0994623i | ||||
\(256\) | 0.955573 | + | 0.294755i | 0.0597233 | + | 0.0184222i | ||||
\(257\) | 1.18983 | + | 15.8771i | 0.0742194 | + | 0.990388i | 0.902672 | + | 0.430329i | \(0.141603\pi\) |
−0.828453 | + | 0.560059i | \(0.810778\pi\) | |||||||
\(258\) | 3.00318 | + | 13.1578i | 0.186970 | + | 0.819167i | ||||
\(259\) | −0.388259 | + | 2.92768i | −0.0241253 | + | 0.181917i | ||||
\(260\) | 1.16473 | − | 5.10300i | 0.0722332 | − | 0.316474i | ||||
\(261\) | 7.97542 | + | 1.20210i | 0.493666 | + | 0.0744082i | ||||
\(262\) | −6.80124 | + | 4.63701i | −0.420182 | + | 0.286475i | ||||
\(263\) | 9.30538 | − | 16.1174i | 0.573794 | − | 0.993840i | −0.422377 | − | 0.906420i | \(-0.638804\pi\) |
0.996172 | − | 0.0874204i | \(-0.0278624\pi\) | |||||||
\(264\) | −0.429487 | − | 0.743893i | −0.0264331 | − | 0.0457834i | ||||
\(265\) | −1.19990 | − | 0.577842i | −0.0737093 | − | 0.0354965i | ||||
\(266\) | 9.56644 | + | 5.29902i | 0.586556 | + | 0.324904i | ||||
\(267\) | 1.81945 | − | 0.876199i | 0.111348 | − | 0.0536225i | ||||
\(268\) | −5.02865 | − | 3.42847i | −0.307173 | − | 0.209427i | ||||
\(269\) | 19.0986 | + | 17.7209i | 1.16446 | + | 1.08046i | 0.995493 | + | 0.0948392i | \(0.0302337\pi\) |
0.168967 | + | 0.985622i | \(0.445957\pi\) | |||||||
\(270\) | −6.16443 | − | 5.71975i | −0.375155 | − | 0.348093i | ||||
\(271\) | 1.30802 | + | 0.891794i | 0.0794567 | + | 0.0541726i | 0.602397 | − | 0.798197i | \(-0.294213\pi\) |
−0.522940 | + | 0.852369i | \(0.675165\pi\) | |||||||
\(272\) | 0.868790 | − | 0.418387i | 0.0526781 | − | 0.0253684i | ||||
\(273\) | 1.62630 | + | 9.62692i | 0.0984280 | + | 0.582648i | ||||
\(274\) | 6.03323 | + | 2.90545i | 0.364481 | + | 0.175525i | ||||
\(275\) | −0.957573 | − | 1.65857i | −0.0577438 | − | 0.100015i | ||||
\(276\) | −4.49961 | + | 7.79355i | −0.270845 | + | 0.469117i | ||||
\(277\) | 17.0878 | − | 11.6503i | 1.02671 | − | 0.699997i | 0.0719570 | − | 0.997408i | \(-0.477076\pi\) |
0.954750 | + | 0.297411i | \(0.0961232\pi\) | |||||||
\(278\) | −11.9063 | − | 1.79459i | −0.714095 | − | 0.107632i | ||||
\(279\) | 1.84760 | − | 8.09486i | 0.110613 | − | 0.484626i | ||||
\(280\) | 4.17354 | − | 0.387378i | 0.249417 | − | 0.0231502i | ||||
\(281\) | −2.13902 | − | 9.37167i | −0.127603 | − | 0.559067i | −0.997796 | − | 0.0663553i | \(-0.978863\pi\) |
0.870193 | − | 0.492712i | \(-0.163994\pi\) | |||||||
\(282\) | −0.350917 | − | 4.68266i | −0.0208968 | − | 0.278848i | ||||
\(283\) | −9.11764 | − | 2.81242i | −0.541987 | − | 0.167181i | 0.0116604 | − | 0.999932i | \(-0.496288\pi\) |
−0.553648 | + | 0.832751i | \(0.686765\pi\) | |||||||
\(284\) | −0.896612 | − | 2.28453i | −0.0532041 | − | 0.135562i | ||||
\(285\) | −6.98886 | + | 2.15578i | −0.413984 | + | 0.127697i | ||||
\(286\) | 1.58427 | + | 1.98661i | 0.0936798 | + | 0.117471i | ||||
\(287\) | 10.2674 | + | 20.3866i | 0.606065 | + | 1.20338i | ||||
\(288\) | −1.09269 | + | 1.37019i | −0.0643872 | + | 0.0807390i | ||||
\(289\) | −5.87109 | + | 14.9593i | −0.345358 | + | 0.879958i | ||||
\(290\) | 0.544852 | − | 7.27055i | 0.0319948 | − | 0.426941i | ||||
\(291\) | 17.3675 | − | 2.61772i | 1.01810 | − | 0.153454i | ||||
\(292\) | −10.2470 | + | 9.50785i | −0.599662 | + | 0.556405i | ||||
\(293\) | −9.42927 | −0.550864 | −0.275432 | − | 0.961321i | \(-0.588821\pi\) | ||||
−0.275432 | + | 0.961321i | \(0.588821\pi\) | |||||||
\(294\) | −6.91919 | + | 3.64014i | −0.403535 | + | 0.212297i | ||||
\(295\) | 6.67208 | 0.388463 | ||||||||
\(296\) | −0.818269 | + | 0.759242i | −0.0475609 | + | 0.0441301i | ||||
\(297\) | 4.03670 | − | 0.608435i | 0.234233 | − | 0.0353050i | ||||
\(298\) | −0.672051 | + | 8.96790i | −0.0389309 | + | 0.519497i | ||||
\(299\) | 9.72576 | − | 24.7808i | 0.562455 | − | 1.43311i | ||||
\(300\) | 1.73412 | − | 2.17452i | 0.100120 | − | 0.125546i | ||||
\(301\) | 24.6375 | − | 20.3736i | 1.42008 | − | 1.17432i | ||||
\(302\) | −9.59727 | − | 12.0346i | −0.552261 | − | 0.692513i | ||||
\(303\) | 10.6759 | − | 3.29307i | 0.613314 | − | 0.189182i | ||||
\(304\) | 1.51011 | + | 3.84770i | 0.0866107 | + | 0.220681i | ||||
\(305\) | 18.7735 | + | 5.79085i | 1.07497 | + | 0.331583i | ||||
\(306\) | 0.126289 | + | 1.68522i | 0.00721949 | + | 0.0963374i | ||||
\(307\) | 1.85070 | + | 8.10843i | 0.105625 | + | 0.462773i | 0.999884 | + | 0.0152233i | \(0.00484593\pi\) |
−0.894259 | + | 0.447549i | \(0.852297\pi\) | |||||||
\(308\) | −1.11620 | + | 1.70128i | −0.0636014 | + | 0.0969397i | ||||
\(309\) | −0.251203 | + | 1.10059i | −0.0142904 | + | 0.0626105i | ||||
\(310\) | −7.42182 | − | 1.11866i | −0.421531 | − | 0.0635356i | ||||
\(311\) | −14.9175 | + | 10.1706i | −0.845893 | + | 0.576720i | −0.906866 | − | 0.421419i | \(-0.861532\pi\) |
0.0609726 | + | 0.998139i | \(0.480580\pi\) | |||||||
\(312\) | −1.84509 | + | 3.19580i | −0.104458 | + | 0.180926i | ||||
\(313\) | −8.39977 | − | 14.5488i | −0.474783 | − | 0.822349i | 0.524800 | − | 0.851226i | \(-0.324140\pi\) |
−0.999583 | + | 0.0288770i | \(0.990807\pi\) | |||||||
\(314\) | 7.45450 | + | 3.58990i | 0.420682 | + | 0.202590i | ||||
\(315\) | −2.04024 | + | 7.05669i | −0.114955 | + | 0.397600i | ||||
\(316\) | −7.32590 | + | 3.52797i | −0.412114 | + | 0.198464i | ||||
\(317\) | 17.6797 | + | 12.0538i | 0.992990 | + | 0.677009i | 0.946766 | − | 0.321922i | \(-0.104329\pi\) |
0.0462237 | + | 0.998931i | \(0.485281\pi\) | |||||||
\(318\) | 0.688282 | + | 0.638632i | 0.0385969 | + | 0.0358127i | ||||
\(319\) | 2.59457 | + | 2.40741i | 0.145268 | + | 0.134789i | ||||
\(320\) | 1.30895 | + | 0.892429i | 0.0731727 | + | 0.0498883i | ||||
\(321\) | 17.9984 | − | 8.66755i | 1.00457 | − | 0.483776i | ||||
\(322\) | 21.2830 | + | 1.21546i | 1.18605 | + | 0.0677347i | ||||
\(323\) | 3.59108 | + | 1.72937i | 0.199813 | + | 0.0962248i | ||||
\(324\) | 0.335509 | + | 0.581118i | 0.0186394 | + | 0.0322843i | ||||
\(325\) | −4.11378 | + | 7.12527i | −0.228191 | + | 0.395239i | ||||
\(326\) | 2.63990 | − | 1.79985i | 0.146210 | − | 0.0996846i | ||||
\(327\) | −14.8029 | − | 2.23118i | −0.818602 | − | 0.123384i | ||||
\(328\) | −1.91979 | + | 8.41116i | −0.106003 | + | 0.464429i | ||||
\(329\) | −9.53303 | + | 5.73190i | −0.525573 | + | 0.316010i | ||||
\(330\) | −0.302809 | − | 1.32669i | −0.0166691 | − | 0.0730321i | ||||
\(331\) | 0.0486392 | + | 0.649045i | 0.00267345 | + | 0.0356748i | 0.998381 | − | 0.0568808i | \(-0.0181155\pi\) |
−0.995708 | + | 0.0925555i | \(0.970496\pi\) | |||||||
\(332\) | −11.2305 | − | 3.46414i | −0.616352 | − | 0.190119i | ||||
\(333\) | −0.714704 | − | 1.82104i | −0.0391655 | − | 0.0997922i | ||||
\(334\) | 22.8888 | − | 7.06027i | 1.25242 | − | 0.386321i | ||||
\(335\) | −6.01164 | − | 7.53836i | −0.328451 | − | 0.411865i | ||||
\(336\) | −2.89217 | − | 0.606313i | −0.157781 | − | 0.0330771i | ||||
\(337\) | 7.90187 | − | 9.90864i | 0.430442 | − | 0.539758i | −0.518554 | − | 0.855045i | \(-0.673529\pi\) |
0.948996 | + | 0.315287i | \(0.102101\pi\) | |||||||
\(338\) | −0.761324 | + | 1.93982i | −0.0414105 | + | 0.105512i | ||||
\(339\) | −1.38174 | + | 18.4380i | −0.0750456 | + | 1.00141i | ||||
\(340\) | 1.51059 | − | 0.227684i | 0.0819230 | − | 0.0123479i | ||||
\(341\) | 2.67098 | − | 2.47830i | 0.144642 | − | 0.134208i | ||||
\(342\) | −7.24397 | −0.391709 | ||||||||
\(343\) | 15.0739 | + | 10.7600i | 0.813913 | + | 0.580987i | ||||
\(344\) | 12.0836 | 0.651503 | ||||||||
\(345\) | −10.4510 | + | 9.69711i | −0.562663 | + | 0.522075i | ||||
\(346\) | −24.3819 | + | 3.67498i | −1.31078 | + | 0.197568i | ||||
\(347\) | 2.00705 | − | 26.7822i | 0.107744 | − | 1.43775i | −0.637241 | − | 0.770665i | \(-0.719924\pi\) |
0.744985 | − | 0.667081i | \(-0.232457\pi\) | |||||||
\(348\) | −1.87792 | + | 4.78487i | −0.100667 | + | 0.256496i | ||||
\(349\) | −12.8118 | + | 16.0655i | −0.685802 | + | 0.859969i | −0.995874 | − | 0.0907440i | \(-0.971075\pi\) |
0.310072 | + | 0.950713i | \(0.399647\pi\) | |||||||
\(350\) | −6.44831 | − | 1.35182i | −0.344677 | − | 0.0722579i | ||||
\(351\) | −10.9346 | − | 13.7116i | −0.583646 | − | 0.731869i | ||||
\(352\) | −0.734902 | + | 0.226687i | −0.0391704 | + | 0.0120825i | ||||
\(353\) | 0.481787 | + | 1.22757i | 0.0256429 | + | 0.0653371i | 0.943122 | − | 0.332447i | \(-0.107874\pi\) |
−0.917479 | + | 0.397785i | \(0.869779\pi\) | |||||||
\(354\) | −4.49491 | − | 1.38650i | −0.238902 | − | 0.0736914i | ||||
\(355\) | −0.290549 | − | 3.87711i | −0.0154208 | − | 0.205776i | ||||
\(356\) | −0.402333 | − | 1.76274i | −0.0213236 | − | 0.0934249i | ||||
\(357\) | −2.44206 | + | 1.46833i | −0.129247 | + | 0.0777123i | ||||
\(358\) | 1.10361 | − | 4.83522i | 0.0583275 | − | 0.255549i | ||||
\(359\) | −34.7027 | − | 5.23059i | −1.83154 | − | 0.276060i | −0.859544 | − | 0.511063i | \(-0.829252\pi\) |
−0.971995 | + | 0.235003i | \(0.924490\pi\) | |||||||
\(360\) | −2.29399 | + | 1.56401i | −0.120904 | + | 0.0824307i | ||||
\(361\) | 0.957397 | − | 1.65826i | 0.0503893 | − | 0.0872769i | ||||
\(362\) | 2.23011 | + | 3.86266i | 0.117212 | + | 0.203017i | ||||
\(363\) | −10.4740 | − | 5.04402i | −0.549744 | − | 0.264743i | ||||
\(364\) | 8.72723 | + | 0.498406i | 0.457431 | + | 0.0261236i | ||||
\(365\) | −19.9522 | + | 9.60849i | −1.04435 | + | 0.502931i | ||||
\(366\) | −11.4441 | − | 7.80246i | −0.598193 | − | 0.407841i | ||||
\(367\) | 9.78070 | + | 9.07516i | 0.510548 | + | 0.473720i | 0.892873 | − | 0.450308i | \(-0.148686\pi\) |
−0.382325 | + | 0.924028i | \(0.624876\pi\) | |||||||
\(368\) | 5.90643 | + | 5.48037i | 0.307894 | + | 0.285684i | ||||
\(369\) | −12.4927 | − | 8.51736i | −0.650343 | − | 0.443396i | ||||
\(370\) | −1.59327 | + | 0.767278i | −0.0828301 | + | 0.0398889i | ||||
\(371\) | 0.617751 | − | 2.13665i | 0.0320721 | − | 0.110929i | ||||
\(372\) | 4.76754 | + | 2.29592i | 0.247185 | + | 0.119038i | ||||
\(373\) | −9.26911 | − | 16.0546i | −0.479936 | − | 0.831274i | 0.519799 | − | 0.854289i | \(-0.326007\pi\) |
−0.999735 | + | 0.0230146i | \(0.992674\pi\) | |||||||
\(374\) | −0.370801 | + | 0.642245i | −0.0191736 | + | 0.0332097i | ||||
\(375\) | 10.9505 | − | 7.46590i | 0.565479 | − | 0.385537i | ||||
\(376\) | −4.15735 | − | 0.626619i | −0.214399 | − | 0.0323154i | ||||
\(377\) | 3.38353 | − | 14.8242i | 0.174261 | − | 0.763486i | ||||
\(378\) | 7.70400 | − | 11.7422i | 0.396251 | − | 0.603956i | ||||
\(379\) | −3.22655 | − | 14.1364i | −0.165737 | − | 0.726140i | −0.987669 | − | 0.156555i | \(-0.949961\pi\) |
0.821933 | − | 0.569585i | \(-0.192896\pi\) | |||||||
\(380\) | 0.489355 | + | 6.52999i | 0.0251034 | + | 0.334981i | ||||
\(381\) | −0.516540 | − | 0.159331i | −0.0264631 | − | 0.00816280i | ||||
\(382\) | −4.20684 | − | 10.7189i | −0.215241 | − | 0.548424i | ||||
\(383\) | −3.20234 | + | 0.987790i | −0.163632 | + | 0.0504737i | −0.375489 | − | 0.926827i | \(-0.622525\pi\) |
0.211857 | + | 0.977301i | \(0.432049\pi\) | |||||||
\(384\) | −0.696376 | − | 0.873227i | −0.0355368 | − | 0.0445617i | ||||
\(385\) | −2.48419 | + | 2.05427i | −0.126606 | + | 0.104695i | ||||
\(386\) | 15.2657 | − | 19.1426i | 0.777005 | − | 0.974333i | ||||
\(387\) | −7.73679 | + | 19.7130i | −0.393283 | + | 1.00207i | ||||
\(388\) | 1.17516 | − | 15.6814i | 0.0596595 | − | 0.796101i | ||||
\(389\) | −13.5532 | + | 2.04282i | −0.687176 | + | 0.103575i | −0.483344 | − | 0.875431i | \(-0.660578\pi\) |
−0.203832 | + | 0.979006i | \(0.565340\pi\) | |||||||
\(390\) | −4.28550 | + | 3.97636i | −0.217005 | + | 0.201351i | ||||
\(391\) | 7.76955 | 0.392923 | ||||||||
\(392\) | 1.79892 | + | 6.76490i | 0.0908591 | + | 0.341679i | ||||
\(393\) | 9.19383 | 0.463768 | ||||||||
\(394\) | 8.96192 | − | 8.31545i | 0.451495 | − | 0.418926i | ||||
\(395\) | −12.7377 | + | 1.91990i | −0.640904 | + | 0.0966008i | ||||
\(396\) | 0.100723 | − | 1.34405i | 0.00506151 | − | 0.0675411i | ||||
\(397\) | −8.04097 | + | 20.4880i | −0.403565 | + | 1.02827i | 0.574229 | + | 0.818695i | \(0.305302\pi\) |
−0.977793 | + | 0.209571i | \(0.932793\pi\) | |||||||
\(398\) | −2.17177 | + | 2.72331i | −0.108861 | + | 0.136507i | ||||
\(399\) | −5.49416 | − | 10.9090i | −0.275052 | − | 0.546134i | ||||
\(400\) | −1.55262 | − | 1.94693i | −0.0776311 | − | 0.0973464i | ||||
\(401\) | −19.2140 | + | 5.92674i | −0.959503 | + | 0.295967i | −0.734666 | − | 0.678429i | \(-0.762661\pi\) |
−0.224837 | + | 0.974396i | \(0.572185\pi\) | |||||||
\(402\) | 2.48347 | + | 6.32777i | 0.123864 | + | 0.315600i | ||||
\(403\) | −14.9578 | − | 4.61388i | −0.745102 | − | 0.229833i | ||||
\(404\) | −0.747518 | − | 9.97493i | −0.0371904 | − | 0.496271i | ||||
\(405\) | 0.236550 | + | 1.03639i | 0.0117543 | + | 0.0514988i | ||||
\(406\) | 12.1241 | − | 1.12533i | 0.601711 | − | 0.0558493i | ||||
\(407\) | 0.191028 | − | 0.836949i | 0.00946891 | − | 0.0414860i | ||||
\(408\) | −1.06498 | − | 0.160520i | −0.0527243 | − | 0.00794692i | ||||
\(409\) | 24.9529 | − | 17.0126i | 1.23384 | − | 0.841219i | 0.242198 | − | 0.970227i | \(-0.422132\pi\) |
0.991644 | + | 0.129008i | \(0.0411793\pi\) | |||||||
\(410\) | −6.83395 | + | 11.8367i | −0.337505 | + | 0.584575i | ||||
\(411\) | −3.73960 | − | 6.47717i | −0.184461 | − | 0.319495i | ||||
\(412\) | 0.910645 | + | 0.438544i | 0.0448643 | + | 0.0216055i | ||||
\(413\) | 1.85607 | + | 10.9871i | 0.0913312 | + | 0.540638i | ||||
\(414\) | −12.7223 | + | 6.12676i | −0.625269 | + | 0.301114i | ||||
\(415\) | −15.3836 | − | 10.4884i | −0.755151 | − | 0.514854i | ||||
\(416\) | 2.42197 | + | 2.24726i | 0.118747 | + | 0.110181i | ||||
\(417\) | 9.85837 | + | 9.14723i | 0.482766 | + | 0.447942i | ||||
\(418\) | −2.62652 | − | 1.79073i | −0.128467 | − | 0.0875876i | ||||
\(419\) | −23.8954 | + | 11.5074i | −1.16737 | + | 0.562174i | −0.914206 | − | 0.405250i | \(-0.867184\pi\) |
−0.253161 | + | 0.967424i | \(0.581470\pi\) | |||||||
\(420\) | −4.09518 | − | 2.26839i | −0.199824 | − | 0.110686i | ||||
\(421\) | −3.08123 | − | 1.48384i | −0.150170 | − | 0.0723181i | 0.357289 | − | 0.933994i | \(-0.383701\pi\) |
−0.507459 | + | 0.861676i | \(0.669415\pi\) | |||||||
\(422\) | 6.17902 | + | 10.7024i | 0.300790 | + | 0.520984i | ||||
\(423\) | 3.68410 | − | 6.38104i | 0.179127 | − | 0.310257i | ||||
\(424\) | 0.694581 | − | 0.473557i | 0.0337318 | − | 0.0229980i | ||||
\(425\) | −2.37445 | − | 0.357891i | −0.115178 | − | 0.0173603i | ||||
\(426\) | −0.609946 | + | 2.67235i | −0.0295520 | + | 0.129476i | ||||
\(427\) | −4.31343 | + | 32.5256i | −0.208742 | + | 1.57402i | ||||
\(428\) | −3.97997 | − | 17.4374i | −0.192379 | − | 0.842868i | ||||
\(429\) | −0.212085 | − | 2.83007i | −0.0102395 | − | 0.136637i | ||||
\(430\) | 18.2927 | + | 5.64255i | 0.882153 | + | 0.272108i | ||||
\(431\) | 6.86901 | + | 17.5020i | 0.330869 | + | 0.843039i | 0.995402 | + | 0.0957812i | \(0.0305349\pi\) |
−0.664534 | + | 0.747258i | \(0.731370\pi\) | |||||||
\(432\) | 5.07228 | − | 1.56459i | 0.244040 | − | 0.0752764i | ||||
\(433\) | 14.2209 | + | 17.8325i | 0.683413 | + | 0.856973i | 0.995664 | − | 0.0930268i | \(-0.0296542\pi\) |
−0.312250 | + | 0.950000i | \(0.601083\pi\) | |||||||
\(434\) | −0.222513 | − | 12.5329i | −0.0106810 | − | 0.601597i | ||||
\(435\) | −5.07723 | + | 6.36664i | −0.243434 | + | 0.305257i | ||||
\(436\) | −4.89676 | + | 12.4767i | −0.234512 | + | 0.597528i | ||||
\(437\) | −2.48884 | + | 33.2112i | −0.119057 | + | 1.58871i | ||||
\(438\) | 15.4383 | − | 2.32695i | 0.737670 | − | 0.111186i | ||||
\(439\) | 15.4681 | − | 14.3523i | 0.738250 | − | 0.684996i | −0.218523 | − | 0.975832i | \(-0.570124\pi\) |
0.956773 | + | 0.290836i | \(0.0939333\pi\) | |||||||
\(440\) | −1.21838 | −0.0580841 | ||||||||
\(441\) | −12.1880 | − | 1.39665i | −0.580380 | − | 0.0665071i | ||||
\(442\) | 3.18595 | 0.151540 | ||||||||
\(443\) | 9.00671 | − | 8.35700i | 0.427921 | − | 0.397053i | −0.436595 | − | 0.899658i | \(-0.643816\pi\) |
0.864516 | + | 0.502605i | \(0.167625\pi\) | |||||||
\(444\) | 1.23281 | − | 0.185817i | 0.0585067 | − | 0.00881847i | ||||
\(445\) | 0.214057 | − | 2.85639i | 0.0101473 | − | 0.135406i | ||||
\(446\) | 5.48946 | − | 13.9869i | 0.259933 | − | 0.662299i | ||||
\(447\) | 6.26254 | − | 7.85298i | 0.296208 | − | 0.371433i | ||||
\(448\) | −1.10545 | + | 2.40374i | −0.0522277 | + | 0.113566i | ||||
\(449\) | 12.3416 | + | 15.4759i | 0.582437 | + | 0.730352i | 0.982526 | − | 0.186124i | \(-0.0595925\pi\) |
−0.400090 | + | 0.916476i | \(0.631021\pi\) | |||||||
\(450\) | 4.17030 | − | 1.28637i | 0.196590 | − | 0.0606399i | ||||
\(451\) | −2.42408 | − | 6.17646i | −0.114146 | − | 0.290838i | ||||
\(452\) | 15.8190 | + | 4.87952i | 0.744063 | + | 0.229513i | ||||
\(453\) | 1.28478 | + | 17.1442i | 0.0603641 | + | 0.805503i | ||||
\(454\) | 2.37142 | + | 10.3899i | 0.111296 | + | 0.487620i | ||||
\(455\) | 12.9790 | + | 4.82978i | 0.608463 | + | 0.226423i | ||||
\(456\) | 1.02730 | − | 4.50087i | 0.0481075 | − | 0.210773i | ||||
\(457\) | 23.7122 | + | 3.57404i | 1.10921 | + | 0.167187i | 0.677998 | − | 0.735064i | \(-0.262848\pi\) |
0.431213 | + | 0.902250i | \(0.358086\pi\) | |||||||
\(458\) | 13.0160 | − | 8.87419i | 0.608200 | − | 0.414663i | ||||
\(459\) | 2.55926 | − | 4.43277i | 0.119456 | − | 0.206904i | ||||
\(460\) | 6.38233 | + | 11.0545i | 0.297578 | + | 0.515419i | ||||
\(461\) | −5.44008 | − | 2.61980i | −0.253370 | − | 0.122016i | 0.302888 | − | 0.953026i | \(-0.402049\pi\) |
−0.556258 | + | 0.831010i | \(0.687763\pi\) | |||||||
\(462\) | 2.10046 | − | 0.867708i | 0.0977222 | − | 0.0403694i | ||||
\(463\) | 10.7228 | − | 5.16382i | 0.498330 | − | 0.239983i | −0.167797 | − | 0.985822i | \(-0.553665\pi\) |
0.666127 | + | 0.745838i | \(0.267951\pi\) | |||||||
\(464\) | 3.80251 | + | 2.59251i | 0.176527 | + | 0.120354i | ||||
\(465\) | 6.14522 | + | 5.70193i | 0.284978 | + | 0.264421i | ||||
\(466\) | −15.2911 | − | 14.1881i | −0.708348 | − | 0.657251i | ||||
\(467\) | 0.829756 | + | 0.565718i | 0.0383965 | + | 0.0261783i | 0.582366 | − | 0.812927i | \(-0.302127\pi\) |
−0.543970 | + | 0.839105i | \(0.683079\pi\) | |||||||
\(468\) | −5.21688 | + | 2.51232i | −0.241150 | + | 0.116132i | ||||
\(469\) | 10.7412 | − | 11.9966i | 0.495985 | − | 0.553950i | ||||
\(470\) | −6.00098 | − | 2.88992i | −0.276805 | − | 0.133302i | ||||
\(471\) | −4.62054 | − | 8.00301i | −0.212903 | − | 0.368759i | ||||
\(472\) | −2.10578 | + | 3.64732i | −0.0969263 | + | 0.167881i | ||||
\(473\) | −7.67833 | + | 5.23500i | −0.353050 | + | 0.240705i | ||||
\(474\) | 8.98023 | + | 1.35355i | 0.412476 | + | 0.0621707i | ||||
\(475\) | 2.29043 | − | 10.0350i | 0.105092 | − | 0.460439i | ||||
\(476\) | 0.795154 | + | 2.42418i | 0.0364458 | + | 0.111112i | ||||
\(477\) | 0.327835 | + | 1.43634i | 0.0150105 | + | 0.0657654i | ||||
\(478\) | −0.796005 | − | 10.6219i | −0.0364084 | − | 0.485836i | ||||
\(479\) | 16.5393 | + | 5.10169i | 0.755699 | + | 0.233102i | 0.648583 | − | 0.761144i | \(-0.275362\pi\) |
0.107116 | + | 0.994246i | \(0.465838\pi\) | |||||||
\(480\) | −0.646444 | − | 1.64711i | −0.0295060 | − | 0.0751801i | ||||
\(481\) | −3.52419 | + | 1.08707i | −0.160689 | + | 0.0495661i | ||||
\(482\) | 3.85734 | + | 4.83695i | 0.175697 | + | 0.220317i | ||||
\(483\) | −18.8758 | − | 14.5123i | −0.858877 | − | 0.660333i | ||||
\(484\) | −6.48961 | + | 8.13772i | −0.294982 | + | 0.369896i | ||||
\(485\) | 9.10158 | − | 23.1904i | 0.413281 | − | 1.05302i | ||||
\(486\) | −1.13402 | + | 15.1324i | −0.0514401 | + | 0.686421i | ||||
\(487\) | 1.89262 | − | 0.285267i | 0.0857629 | − | 0.0129267i | −0.106021 | − | 0.994364i | \(-0.533811\pi\) |
0.191783 | + | 0.981437i | \(0.438573\pi\) | |||||||
\(488\) | −9.09069 | + | 8.43493i | −0.411516 | + | 0.381831i | ||||
\(489\) | −3.56858 | −0.161377 | ||||||||
\(490\) | −0.435652 | + | 11.0811i | −0.0196807 | + | 0.500591i | ||||
\(491\) | 1.19150 | 0.0537719 | 0.0268859 | − | 0.999639i | \(-0.491441\pi\) | ||||
0.0268859 | + | 0.999639i | \(0.491441\pi\) | |||||||
\(492\) | 7.06370 | − | 6.55416i | 0.318456 | − | 0.295484i | ||||
\(493\) | 4.38825 | − | 0.661423i | 0.197637 | − | 0.0297890i | ||||
\(494\) | −1.02056 | + | 13.6185i | −0.0459173 | + | 0.612724i | ||||
\(495\) | 0.780098 | − | 1.98766i | 0.0350628 | − | 0.0893385i | ||||
\(496\) | 2.95392 | − | 3.70410i | 0.132635 | − | 0.166319i | ||||
\(497\) | 6.30370 | − | 1.55701i | 0.282760 | − | 0.0698413i | ||||
\(498\) | 8.18423 | + | 10.2627i | 0.366744 | + | 0.459882i | ||||
\(499\) | 4.14487 | − | 1.27852i | 0.185550 | − | 0.0572345i | −0.200588 | − | 0.979676i | \(-0.564285\pi\) |
0.386138 | + | 0.922441i | \(0.373809\pi\) | |||||||
\(500\) | −4.33522 | − | 11.0460i | −0.193877 | − | 0.493990i | ||||
\(501\) | −25.5645 | − | 7.88561i | −1.14214 | − | 0.352303i | ||||
\(502\) | −1.35428 | − | 18.0716i | −0.0604445 | − | 0.806576i | ||||
\(503\) | 2.96104 | + | 12.9732i | 0.132026 | + | 0.578445i | 0.997053 | + | 0.0767190i | \(0.0244444\pi\) |
−0.865026 | + | 0.501726i | \(0.832698\pi\) | |||||||
\(504\) | −3.21365 | − | 3.34247i | −0.143147 | − | 0.148886i | ||||
\(505\) | 3.52627 | − | 15.4496i | 0.156917 | − | 0.687497i | ||||
\(506\) | −6.12743 | − | 0.923561i | −0.272397 | − | 0.0410573i | ||||
\(507\) | 1.92305 | − | 1.31111i | 0.0854057 | − | 0.0582286i | ||||
\(508\) | −0.241989 | + | 0.419137i | −0.0107365 | + | 0.0185962i | ||||
\(509\) | −7.56000 | − | 13.0943i | −0.335091 | − | 0.580395i | 0.648411 | − | 0.761290i | \(-0.275434\pi\) |
−0.983502 | + | 0.180895i | \(0.942100\pi\) | |||||||
\(510\) | −1.53726 | − | 0.740305i | −0.0680710 | − | 0.0327813i | ||||
\(511\) | −21.3729 | − | 30.1829i | −0.945482 | − | 1.33521i | ||||
\(512\) | −0.900969 | + | 0.433884i | −0.0398176 | + | 0.0191751i | ||||
\(513\) | 18.1282 | + | 12.3596i | 0.800381 | + | 0.545690i | ||||
\(514\) | −11.6714 | − | 10.8295i | −0.514803 | − | 0.477668i | ||||
\(515\) | 1.17380 | + | 1.08912i | 0.0517236 | + | 0.0479925i | ||||
\(516\) | −11.1510 | − | 7.60265i | −0.490897 | − | 0.334688i | ||||
\(517\) | 2.91319 | − | 1.40292i | 0.128122 | − | 0.0617004i | ||||
\(518\) | −1.70672 | − | 2.41023i | −0.0749889 | − | 0.105899i | ||||
\(519\) | 24.8124 | + | 11.9490i | 1.08915 | + | 0.524505i | ||||
\(520\) | 2.61711 | + | 4.53298i | 0.114768 | + | 0.198784i | ||||
\(521\) | 4.65245 | − | 8.05828i | 0.203828 | − | 0.353040i | −0.745931 | − | 0.666023i | \(-0.767995\pi\) |
0.949759 | + | 0.312984i | \(0.101328\pi\) | |||||||
\(522\) | −6.66403 | + | 4.54346i | −0.291677 | + | 0.198862i | ||||
\(523\) | 11.4809 | + | 1.73047i | 0.502026 | + | 0.0756683i | 0.395173 | − | 0.918607i | \(-0.370684\pi\) |
0.106853 | + | 0.994275i | \(0.465923\pi\) | |||||||
\(524\) | 1.83170 | − | 8.02518i | 0.0800180 | − | 0.350582i | ||||
\(525\) | 5.10014 | + | 5.30459i | 0.222588 | + | 0.231511i | ||||
\(526\) | 4.14128 | + | 18.1441i | 0.180568 | + | 0.791122i | ||||
\(527\) | −0.341406 | − | 4.55574i | −0.0148719 | − | 0.198451i | ||||
\(528\) | 0.820811 | + | 0.253187i | 0.0357212 | + | 0.0110185i | ||||
\(529\) | 15.3153 | + | 39.0226i | 0.665880 | + | 1.69664i | ||||
\(530\) | 1.27262 | − | 0.392552i | 0.0552792 | − | 0.0170514i | ||||
\(531\) | −4.60192 | − | 5.77062i | −0.199706 | − | 0.250424i | ||||
\(532\) | −10.6169 | + | 2.62237i | −0.460303 | + | 0.113694i | ||||
\(533\) | −17.7724 | + | 22.2859i | −0.769810 | + | 0.965311i | ||||
\(534\) | −0.737782 | + | 1.87984i | −0.0319269 | + | 0.0813485i | ||||
\(535\) | 2.11750 | − | 28.2560i | 0.0915474 | − | 1.22161i | ||||
\(536\) | 6.01821 | − | 0.907099i | 0.259947 | − | 0.0391807i | ||||
\(537\) | −4.06062 | + | 3.76771i | −0.175229 | + | 0.162589i | ||||
\(538\) | −26.0535 | −1.12325 | ||||||||
\(539\) | −4.07387 | − | 3.51930i | −0.175474 | − | 0.151587i | ||||
\(540\) | 8.40926 | 0.361877 | ||||||||
\(541\) | −2.15685 | + | 2.00127i | −0.0927304 | + | 0.0860412i | −0.725176 | − | 0.688564i | \(-0.758242\pi\) |
0.632446 | + | 0.774605i | \(0.282051\pi\) | |||||||
\(542\) | −1.56542 | + | 0.235949i | −0.0672406 | + | 0.0101349i | ||||
\(543\) | 0.372277 | − | 4.96768i | 0.0159759 | − | 0.213184i | ||||
\(544\) | −0.352293 | + | 0.897627i | −0.0151044 | + | 0.0384854i | ||||
\(545\) | −13.2391 | + | 16.6013i | −0.567100 | + | 0.711121i | ||||
\(546\) | −7.74013 | − | 5.95087i | −0.331247 | − | 0.254674i | ||||
\(547\) | 3.18428 | + | 3.99297i | 0.136150 | + | 0.170727i | 0.845232 | − | 0.534399i | \(-0.179462\pi\) |
−0.709082 | + | 0.705126i | \(0.750891\pi\) | |||||||
\(548\) | −6.39888 | + | 1.97379i | −0.273347 | + | 0.0843163i | ||||
\(549\) | −7.94012 | − | 20.2311i | −0.338876 | − | 0.863442i | ||||
\(550\) | 1.83006 | + | 0.564499i | 0.0780341 | + | 0.0240703i | ||||
\(551\) | 1.42158 | + | 18.9696i | 0.0605612 | + | 0.808133i | ||||
\(552\) | −2.00251 | − | 8.77359i | −0.0852327 | − | 0.373429i | ||||
\(553\) | −6.70498 | − | 20.4414i | −0.285125 | − | 0.869257i | ||||
\(554\) | −4.60205 | + | 20.1629i | −0.195522 | + | 0.856640i | ||||
\(555\) | 1.95306 | + | 0.294377i | 0.0829028 | + | 0.0124956i | ||||
\(556\) | 9.94859 | − | 6.78284i | 0.421914 | − | 0.287656i | ||||
\(557\) | 3.89299 | − | 6.74286i | 0.164951 | − | 0.285704i | −0.771687 | − | 0.636003i | \(-0.780587\pi\) |
0.936638 | + | 0.350299i | \(0.113920\pi\) | |||||||
\(558\) | 4.15152 | + | 7.19064i | 0.175748 | + | 0.304404i | ||||
\(559\) | 35.9700 | + | 17.3222i | 1.52137 | + | 0.732652i | ||||
\(560\) | −2.79594 | + | 3.12270i | −0.118150 | + | 0.131958i | ||||
\(561\) | 0.746267 | − | 0.359383i | 0.0315074 | − | 0.0151732i | ||||
\(562\) | 7.94237 | + | 5.41501i | 0.335029 | + | 0.228419i | ||||
\(563\) | 6.98771 | + | 6.48365i | 0.294497 | + | 0.273253i | 0.813558 | − | 0.581484i | \(-0.197528\pi\) |
−0.519061 | + | 0.854737i | \(0.673718\pi\) | |||||||
\(564\) | 3.44226 | + | 3.19395i | 0.144945 | + | 0.134489i | ||||
\(565\) | 21.6690 | + | 14.7737i | 0.911623 | + | 0.621534i | ||||
\(566\) | 8.59663 | − | 4.13992i | 0.361343 | − | 0.174014i | ||||
\(567\) | −1.64085 | + | 0.677840i | −0.0689091 | + | 0.0284666i | ||||
\(568\) | 2.21114 | + | 1.06483i | 0.0927773 | + | 0.0446792i | ||||
\(569\) | −0.333839 | − | 0.578226i | −0.0139953 | − | 0.0242405i | 0.858943 | − | 0.512071i | \(-0.171122\pi\) |
−0.872938 | + | 0.487831i | \(0.837788\pi\) | |||||||
\(570\) | 3.65690 | − | 6.33393i | 0.153171 | − | 0.265299i | ||||
\(571\) | −22.2885 | + | 15.1960i | −0.932744 | + | 0.635934i | −0.931374 | − | 0.364065i | \(-0.881389\pi\) |
−0.00137033 | + | 0.999999i | \(0.500436\pi\) | |||||||
\(572\) | −2.51259 | − | 0.378712i | −0.105057 | − | 0.0158347i | ||||
\(573\) | −2.86182 | + | 12.5385i | −0.119554 | + | 0.523802i | ||||
\(574\) | −21.3929 | − | 7.96082i | −0.892924 | − | 0.332278i | ||||
\(575\) | −4.46476 | − | 19.5614i | −0.186193 | − | 0.815766i | ||||
\(576\) | −0.130967 | − | 1.74763i | −0.00545696 | − | 0.0728181i | ||||
\(577\) | −26.6521 | − | 8.22107i | −1.10954 | − | 0.342248i | −0.314776 | − | 0.949166i | \(-0.601929\pi\) |
−0.794764 | + | 0.606918i | \(0.792406\pi\) | |||||||
\(578\) | −5.87109 | − | 14.9593i | −0.244205 | − | 0.622224i | ||||
\(579\) | −26.1316 | + | 8.06053i | −1.08599 | + | 0.334984i | ||||
\(580\) | 4.54582 | + | 5.70028i | 0.188755 | + | 0.236691i | ||||
\(581\) | 12.9919 | − | 28.2502i | 0.538997 | − | 1.17202i | ||||
\(582\) | −10.9507 | + | 13.7318i | −0.453923 | + | 0.569201i | ||||
\(583\) | −0.236201 | + | 0.601829i | −0.00978243 | + | 0.0249252i | ||||
\(584\) | 1.04462 | − | 13.9395i | 0.0432267 | − | 0.576821i | ||||
\(585\) | −9.07071 | + | 1.36719i | −0.375028 | + | 0.0565263i | ||||
\(586\) | 6.91214 | − | 6.41353i | 0.285538 | − | 0.264941i | ||||
\(587\) | −3.70996 | −0.153126 | −0.0765631 | − | 0.997065i | \(-0.524395\pi\) | ||||
−0.0765631 | + | 0.997065i | \(0.524395\pi\) | |||||||
\(588\) | 2.59620 | − | 7.37466i | 0.107065 | − | 0.304126i | ||||
\(589\) | 19.5830 | 0.806905 | ||||||||
\(590\) | −4.89098 | + | 4.53817i | −0.201358 | + | 0.186833i | ||||
\(591\) | −13.5021 | + | 2.03512i | −0.555404 | + | 0.0837137i | ||||
\(592\) | 0.0834174 | − | 1.11313i | 0.00342843 | − | 0.0457493i | ||||
\(593\) | 11.3523 | − | 28.9252i | 0.466183 | − | 1.18781i | −0.483707 | − | 0.875230i | \(-0.660710\pi\) |
0.949890 | − | 0.312584i | \(-0.101195\pi\) | |||||||
\(594\) | −2.54527 | + | 3.19167i | −0.104434 | + | 0.130956i | ||||
\(595\) | 0.0717480 | + | 4.04114i | 0.00294138 | + | 0.165671i | ||||
\(596\) | −5.60707 | − | 7.03105i | −0.229675 | − | 0.288003i | ||||
\(597\) | 3.71759 | − | 1.14673i | 0.152151 | − | 0.0469324i | ||||
\(598\) | 9.72576 | + | 24.7808i | 0.397716 | + | 1.01336i | ||||
\(599\) | −20.0675 | − | 6.19000i | −0.819935 | − | 0.252916i | −0.143718 | − | 0.989619i | \(-0.545906\pi\) |
−0.676217 | + | 0.736702i | \(0.736382\pi\) | |||||||
\(600\) | 0.207848 | + | 2.77354i | 0.00848537 | + | 0.113229i | ||||
\(601\) | −5.74342 | − | 25.1636i | −0.234279 | − | 1.02644i | −0.946047 | − | 0.324029i | \(-0.894963\pi\) |
0.711768 | − | 0.702414i | \(-0.247895\pi\) | |||||||
\(602\) | −4.20297 | + | 31.6927i | −0.171300 | + | 1.29170i | ||||
\(603\) | −2.37347 | + | 10.3988i | −0.0966550 | + | 0.423473i | ||||
\(604\) | 15.2209 | + | 2.29418i | 0.619329 | + | 0.0933489i | ||||
\(605\) | −13.6243 | + | 9.28887i | −0.553906 | + | 0.377646i | ||||
\(606\) | −5.58612 | + | 9.67544i | −0.226921 | + | 0.393038i | ||||
\(607\) | 16.0293 | + | 27.7636i | 0.650610 | + | 1.12689i | 0.982975 | + | 0.183739i | \(0.0588200\pi\) |
−0.332365 | + | 0.943151i | \(0.607847\pi\) | |||||||
\(608\) | −3.72409 | − | 1.79343i | −0.151032 | − | 0.0727330i | ||||
\(609\) | −11.8965 | − | 6.58969i | −0.482071 | − | 0.267028i | ||||
\(610\) | −17.7007 | + | 8.52421i | −0.716680 | + | 0.345135i | ||||
\(611\) | −11.4772 | − | 7.82499i | −0.464316 | − | 0.316565i | ||||
\(612\) | −1.23881 | − | 1.14945i | −0.0500761 | − | 0.0464638i | ||||
\(613\) | −7.91931 | − | 7.34804i | −0.319858 | − | 0.296785i | 0.503859 | − | 0.863786i | \(-0.331913\pi\) |
−0.823717 | + | 0.567001i | \(0.808104\pi\) | |||||||
\(614\) | −6.87179 | − | 4.68511i | −0.277323 | − | 0.189076i | ||||
\(615\) | 13.7539 | − | 6.62353i | 0.554611 | − | 0.267086i | ||||
\(616\) | −0.338935 | − | 2.00634i | −0.0136561 | − | 0.0808377i | ||||
\(617\) | 0.591998 | + | 0.285091i | 0.0238329 | + | 0.0114773i | 0.445762 | − | 0.895151i | \(-0.352933\pi\) |
−0.421929 | + | 0.906629i | \(0.638647\pi\) | |||||||
\(618\) | −0.564448 | − | 0.977652i | −0.0227054 | − | 0.0393269i | ||||
\(619\) | −3.48661 | + | 6.03898i | −0.140139 | + | 0.242727i | −0.927549 | − | 0.373702i | \(-0.878088\pi\) |
0.787410 | + | 0.616430i | \(0.211421\pi\) | |||||||
\(620\) | 6.20146 | − | 4.22808i | 0.249057 | − | 0.169804i | ||||
\(621\) | 42.2914 | + | 6.37440i | 1.69710 | + | 0.255796i | ||||
\(622\) | 4.01755 | − | 17.6020i | 0.161089 | − | 0.705777i | ||||
\(623\) | 4.76323 | − | 0.442111i | 0.190835 | − | 0.0177128i | ||||
\(624\) | −0.821144 | − | 3.59767i | −0.0328721 | − | 0.144022i | ||||
\(625\) | −0.474369 | − | 6.33002i | −0.0189748 | − | 0.253201i | ||||
\(626\) | 16.0532 | + | 4.95175i | 0.641615 | + | 0.197912i | ||||
\(627\) | 1.29714 | + | 3.30507i | 0.0518029 | + | 0.131992i | ||||
\(628\) | −7.90628 | + | 2.43877i | −0.315495 | + | 0.0973174i | ||||
\(629\) | −0.671113 | − | 0.841549i | −0.0267590 | − | 0.0335547i | ||||
\(630\) | −3.30417 | − | 6.56064i | −0.131641 | − | 0.261382i | ||||
\(631\) | −11.4835 | + | 14.3998i | −0.457151 | + | 0.573249i | −0.955973 | − | 0.293456i | \(-0.905195\pi\) |
0.498822 | + | 0.866704i | \(0.333766\pi\) | |||||||
\(632\) | 2.97064 | − | 7.56906i | 0.118166 | − | 0.301081i | ||||
\(633\) | 1.03148 | − | 13.7641i | 0.0409975 | − | 0.547074i | ||||
\(634\) | −21.1588 | + | 3.18917i | −0.840323 | + | 0.126658i | ||||
\(635\) | −0.562055 | + | 0.521511i | −0.0223045 | + | 0.0206955i | ||||
\(636\) | −0.938926 | −0.0372308 | ||||||||
\(637\) | −4.34276 | + | 22.7163i | −0.172066 | + | 0.900053i | ||||
\(638\) | −3.53940 | −0.140126 | ||||||||
\(639\) | −3.15288 | + | 2.92545i | −0.124726 | + | 0.115729i | ||||
\(640\) | −1.56654 | + | 0.236117i | −0.0619228 | + | 0.00933336i | ||||
\(641\) | −0.534850 | + | 7.13708i | −0.0211253 | + | 0.281898i | 0.976630 | + | 0.214929i | \(0.0689519\pi\) |
−0.997755 | + | 0.0669691i | \(0.978667\pi\) | |||||||
\(642\) | −7.29830 | + | 18.5958i | −0.288041 | + | 0.733916i | ||||
\(643\) | 27.8226 | − | 34.8885i | 1.09722 | − | 1.37587i | 0.177114 | − | 0.984190i | \(-0.443324\pi\) |
0.920103 | − | 0.391676i | \(-0.128105\pi\) | |||||||
\(644\) | −16.4283 | + | 13.5851i | −0.647364 | + | 0.535329i | ||||
\(645\) | −13.3308 | − | 16.7164i | −0.524902 | − | 0.658206i | ||||
\(646\) | −3.80872 | + | 1.17483i | −0.149852 | + | 0.0462232i | ||||
\(647\) | −9.90587 | − | 25.2397i | −0.389440 | − | 0.992276i | −0.982357 | − | 0.187013i | \(-0.940119\pi\) |
0.592918 | − | 0.805263i | \(-0.297976\pi\) | |||||||
\(648\) | −0.641206 | − | 0.197786i | −0.0251889 | − | 0.00776976i | ||||
\(649\) | −0.242049 | − | 3.22992i | −0.00950126 | − | 0.126786i | ||||
\(650\) | −1.83080 | − | 8.02128i | −0.0718100 | − | 0.314620i | ||||
\(651\) | −7.67999 | + | 11.7057i | −0.301003 | + | 0.458781i | ||||
\(652\) | −0.710972 | + | 3.11497i | −0.0278438 | + | 0.121992i | ||||
\(653\) | −5.84235 | − | 0.880593i | −0.228629 | − | 0.0344603i | 0.0337286 | − | 0.999431i | \(-0.489262\pi\) |
−0.262357 | + | 0.964971i | \(0.584500\pi\) | |||||||
\(654\) | 12.3689 | − | 8.43296i | 0.483661 | − | 0.329755i | ||||
\(655\) | 6.52035 | − | 11.2936i | 0.254771 | − | 0.441276i | ||||
\(656\) | −4.31373 | − | 7.47161i | −0.168423 | − | 0.291717i | ||||
\(657\) | 22.0719 | + | 10.6293i | 0.861107 | + | 0.414687i | ||||
\(658\) | 3.08952 | − | 10.6859i | 0.120442 | − | 0.416579i | ||||
\(659\) | −3.29770 | + | 1.58809i | −0.128460 | + | 0.0618632i | −0.497010 | − | 0.867745i | \(-0.665569\pi\) |
0.368550 | + | 0.929608i | \(0.379854\pi\) | |||||||
\(660\) | 1.12436 | + | 0.766572i | 0.0437655 | + | 0.0298388i | ||||
\(661\) | −25.5538 | − | 23.7105i | −0.993927 | − | 0.922230i | 0.00304428 | − | 0.999995i | \(-0.499031\pi\) |
−0.996972 | + | 0.0777655i | \(0.975221\pi\) | |||||||
\(662\) | −0.477118 | − | 0.442701i | −0.0185437 | − | 0.0172061i | ||||
\(663\) | −2.94008 | − | 2.00451i | −0.114183 | − | 0.0778488i | ||||
\(664\) | 10.5887 | − | 5.09926i | 0.410922 | − | 0.197890i | ||||
\(665\) | −17.2970 | − | 0.987818i | −0.670748 | − | 0.0383060i | ||||
\(666\) | 1.76253 | + | 0.848792i | 0.0682968 | + | 0.0328900i | ||||
\(667\) | 18.5407 | + | 32.1134i | 0.717898 | + | 1.24344i | ||||
\(668\) | −11.9765 | + | 20.7439i | −0.463384 | + | 0.802605i | ||||
\(669\) | −13.8660 | + | 9.45367i | −0.536090 | + | 0.365500i | ||||
\(670\) | 9.53424 | + | 1.43705i | 0.368340 | + | 0.0555183i | ||||
\(671\) | 2.12226 | − | 9.29823i | 0.0819289 | − | 0.358954i | ||||
\(672\) | 2.53251 | − | 1.52272i | 0.0976936 | − | 0.0587400i | ||||
\(673\) | −0.513945 | − | 2.25174i | −0.0198111 | − | 0.0867982i | 0.964056 | − | 0.265699i | \(-0.0856029\pi\) |
−0.983867 | + | 0.178901i | \(0.942746\pi\) | |||||||
\(674\) | 0.947101 | + | 12.6382i | 0.0364810 | + | 0.486805i | ||||
\(675\) | −12.6311 | − | 3.89617i | −0.486170 | − | 0.149964i | ||||
\(676\) | −0.761324 | − | 1.93982i | −0.0292817 | − | 0.0746085i | ||||
\(677\) | 3.84640 | − | 1.18646i | 0.147829 | − | 0.0455992i | −0.219958 | − | 0.975509i | \(-0.570592\pi\) |
0.367787 | + | 0.929910i | \(0.380116\pi\) | |||||||
\(678\) | −11.5281 | − | 14.4558i | −0.442735 | − | 0.555172i | ||||
\(679\) | 40.7202 | + | 8.53655i | 1.56270 | + | 0.327603i | ||||
\(680\) | −0.952473 | + | 1.19436i | −0.0365257 | + | 0.0458018i | ||||
\(681\) | 4.34860 | − | 11.0801i | 0.166639 | − | 0.424589i | ||||
\(682\) | −0.272290 | + | 3.63345i | −0.0104265 | + | 0.139132i | ||||
\(683\) | −21.2933 | + | 3.20945i | −0.814767 | + | 0.122806i | −0.543189 | − | 0.839610i | \(-0.682783\pi\) |
−0.271578 | + | 0.962417i | \(0.587545\pi\) | |||||||
\(684\) | 5.31021 | − | 4.92715i | 0.203041 | − | 0.188394i | ||||
\(685\) | −10.6086 | −0.405334 | ||||||||
\(686\) | −18.3686 | + | 2.36518i | −0.701317 | + | 0.0903030i | ||||
\(687\) | −17.5949 | −0.671288 | ||||||||
\(688\) | −8.85789 | + | 8.21893i | −0.337704 | + | 0.313344i | ||||
\(689\) | 2.74646 | − | 0.413962i | 0.104632 | − | 0.0157707i | ||||
\(690\) | 1.06541 | − | 14.2170i | 0.0405597 | − | 0.541231i | ||||
\(691\) | −16.5138 | + | 42.0764i | −0.628214 | + | 1.60066i | 0.161283 | + | 0.986908i | \(0.448437\pi\) |
−0.789497 | + | 0.613755i | \(0.789658\pi\) | |||||||
\(692\) | 15.3736 | − | 19.2778i | 0.584415 | − | 0.732834i | ||||
\(693\) | 3.49013 | + | 0.731669i | 0.132579 | + | 0.0277938i | ||||
\(694\) | 16.7453 | + | 20.9979i | 0.635642 | + | 0.797070i | ||||
\(695\) | 18.2280 | − | 5.62258i | 0.691426 | − | 0.213277i | ||||
\(696\) | −1.87792 | − | 4.78487i | −0.0711824 | − | 0.181370i | ||||
\(697\) | −7.94973 | − | 2.45217i | −0.301117 | − | 0.0928824i | ||||
\(698\) | −1.53560 | − | 20.4912i | −0.0581233 | − | 0.775601i | ||||
\(699\) | 5.18430 | + | 22.7139i | 0.196088 | + | 0.859119i | ||||
\(700\) | 5.64642 | − | 3.39501i | 0.213415 | − | 0.128319i | ||||
\(701\) | 1.51967 | − | 6.65809i | 0.0573970 | − | 0.251473i | −0.938087 | − | 0.346399i | \(-0.887404\pi\) |
0.995484 | + | 0.0949262i | \(0.0302615\pi\) | |||||||
\(702\) | 17.3419 | + | 2.61387i | 0.654527 | + | 0.0986540i | ||||
\(703\) | 3.81221 | − | 2.59912i | 0.143780 | − | 0.0980277i | ||||
\(704\) | 0.384535 | − | 0.666033i | 0.0144927 | − | 0.0251021i | ||||
\(705\) | 3.71961 | + | 6.44255i | 0.140088 | + | 0.242640i | ||||
\(706\) | −1.18814 | − | 0.572176i | −0.0447161 | − | 0.0215341i | ||||
\(707\) | 26.4221 | + | 1.50895i | 0.993707 | + | 0.0567499i | ||||
\(708\) | 4.23806 | − | 2.04094i | 0.159276 | − | 0.0767032i | ||||
\(709\) | 7.94235 | + | 5.41500i | 0.298281 | + | 0.203365i | 0.703208 | − | 0.710985i | \(-0.251750\pi\) |
−0.404926 | + | 0.914349i | \(0.632703\pi\) | |||||||
\(710\) | 2.85009 | + | 2.64450i | 0.106962 | + | 0.0992463i | ||||
\(711\) | 10.4461 | + | 9.69253i | 0.391758 | + | 0.363498i | ||||
\(712\) | 1.49390 | + | 1.01852i | 0.0559862 | + | 0.0381707i | ||||
\(713\) | 34.3930 | − | 16.5628i | 1.28803 | − | 0.620282i | ||||
\(714\) | 0.791436 | − | 2.73738i | 0.0296187 | − | 0.102444i | ||||
\(715\) | −3.62684 | − | 1.74659i | −0.135636 | − | 0.0653188i | ||||
\(716\) | 2.47978 | + | 4.29511i | 0.0926739 | + | 0.160516i | ||||
\(717\) | −5.94846 | + | 10.3030i | −0.222149 | + | 0.384774i | ||||
\(718\) | 28.9966 | − | 19.7695i | 1.08214 | − | 0.737792i | ||||
\(719\) | 29.5654 | + | 4.45627i | 1.10260 | + | 0.166191i | 0.675030 | − | 0.737790i | \(-0.264131\pi\) |
0.427573 | + | 0.903981i | \(0.359369\pi\) | |||||||
\(720\) | 0.617811 | − | 2.70681i | 0.0230245 | − | 0.100877i | ||||
\(721\) | −1.46695 | + | 2.23589i | −0.0546322 | + | 0.0832690i | ||||
\(722\) | 0.426082 | + | 1.86679i | 0.0158571 | + | 0.0694746i | ||||
\(723\) | −0.516379 | − | 6.89059i | −0.0192043 | − | 0.256264i | ||||
\(724\) | −4.26206 | − | 1.31467i | −0.158398 | − | 0.0488594i | ||||
\(725\) | −4.18697 | − | 10.6682i | −0.155500 | − | 0.396208i | ||||
\(726\) | 11.1088 | − | 3.42661i | 0.412287 | − | 0.127174i | ||||
\(727\) | −30.9868 | − | 38.8563i | −1.14924 | − | 1.44110i | −0.878048 | − | 0.478573i | \(-0.841154\pi\) |
−0.271190 | − | 0.962526i | \(-0.587417\pi\) | |||||||
\(728\) | −6.73651 | + | 5.57066i | −0.249672 | + | 0.206463i | ||||
\(729\) | 11.8225 | − | 14.8250i | 0.437871 | − | 0.549073i | ||||
\(730\) | 8.09059 | − | 20.6145i | 0.299446 | − | 0.762976i | ||||
\(731\) | −0.870756 | + | 11.6194i | −0.0322061 | + | 0.429760i | ||||
\(732\) | 13.6961 | − | 2.06436i | 0.506224 | − | 0.0763010i | ||||
\(733\) | −11.2047 | + | 10.3964i | −0.413854 | + | 0.384001i | −0.859438 | − | 0.511240i | \(-0.829187\pi\) |
0.445584 | + | 0.895240i | \(0.352996\pi\) | |||||||
\(734\) | −13.3424 | −0.492478 | ||||||||
\(735\) | 7.37392 | − | 9.95178i | 0.271991 | − | 0.367077i | ||||
\(736\) | −8.05732 | −0.296997 | ||||||||
\(737\) | −3.43120 | + | 3.18369i | −0.126390 | + | 0.117273i | ||||
\(738\) | 14.9511 | − | 2.25351i | 0.550356 | − | 0.0829528i | ||||
\(739\) | −2.28083 | + | 30.4355i | −0.0839015 | + | 1.11959i | 0.783304 | + | 0.621638i | \(0.213533\pi\) |
−0.867206 | + | 0.497950i | \(0.834086\pi\) | |||||||
\(740\) | 0.646068 | − | 1.64615i | 0.0237499 | − | 0.0605138i | ||||
\(741\) | 9.51016 | − | 11.9254i | 0.349365 | − | 0.438089i | ||||
\(742\) | 1.00045 | + | 1.98645i | 0.0367276 | + | 0.0729250i | ||||
\(743\) | 8.86441 | + | 11.1156i | 0.325204 | + | 0.407792i | 0.917378 | − | 0.398018i | \(-0.130302\pi\) |
−0.592174 | + | 0.805810i | \(0.701730\pi\) | |||||||
\(744\) | −5.05648 | + | 1.55972i | −0.185379 | + | 0.0571820i | ||||
\(745\) | −5.20504 | − | 13.2622i | −0.190698 | − | 0.485890i | ||||
\(746\) | 17.7146 | + | 5.46424i | 0.648578 | + | 0.200060i | ||||
\(747\) | 1.53920 | + | 20.5393i | 0.0563165 | + | 0.751492i | ||||
\(748\) | −0.165022 | − | 0.723008i | −0.00603379 | − | 0.0264358i | ||||
\(749\) | 47.1189 | − | 4.37346i | 1.72169 | − | 0.159803i | ||||
\(750\) | −2.94916 | + | 12.9211i | −0.107688 | + | 0.471812i | ||||
\(751\) | 25.1767 | + | 3.79477i | 0.918709 | + | 0.138473i | 0.591339 | − | 0.806423i | \(-0.298600\pi\) |
0.327370 | + | 0.944896i | \(0.393838\pi\) | |||||||
\(752\) | 3.47376 | − | 2.36837i | 0.126675 | − | 0.0863656i | ||||
\(753\) | −10.1204 | + | 17.5290i | −0.368808 | + | 0.638793i | ||||
\(754\) | 7.60272 | + | 13.1683i | 0.276875 | + | 0.479561i | ||||
\(755\) | 21.9708 | + | 10.5806i | 0.799600 | + | 0.385067i | ||||
\(756\) | 2.33933 | + | 13.8477i | 0.0850805 | + | 0.503637i | ||||
\(757\) | −21.9157 | + | 10.5540i | −0.796539 | + | 0.383593i | −0.787460 | − | 0.616366i | \(-0.788604\pi\) |
−0.00907885 | + | 0.999959i | \(0.502890\pi\) | |||||||
\(758\) | 11.9804 | + | 8.16813i | 0.435149 | + | 0.296680i | ||||
\(759\) | 5.07347 | + | 4.70749i | 0.184155 | + | 0.170871i | ||||
\(760\) | −4.80024 | − | 4.45397i | −0.174123 | − | 0.161563i | ||||
\(761\) | −0.381057 | − | 0.259800i | −0.0138133 | − | 0.00941776i | 0.556394 | − | 0.830919i | \(-0.312185\pi\) |
−0.570207 | + | 0.821501i | \(0.693137\pi\) | |||||||
\(762\) | 0.487023 | − | 0.234538i | 0.0176430 | − | 0.00849642i | ||||
\(763\) | −31.0206 | − | 17.1829i | −1.12302 | − | 0.622062i | ||||
\(764\) | 10.3745 | + | 4.99610i | 0.375336 | + | 0.180753i | ||||
\(765\) | −1.33863 | − | 2.31857i | −0.0483982 | − | 0.0838282i | ||||
\(766\) | 1.67561 | − | 2.90224i | 0.0605423 | − | 0.104862i | ||||
\(767\) | −11.4969 | + | 7.83849i | −0.415131 | + | 0.283031i | ||||
\(768\) | 1.10442 | + | 0.166465i | 0.0398525 | + | 0.00600680i | ||||
\(769\) | −9.94282 | + | 43.5623i | −0.358547 | + | 1.57090i | 0.398268 | + | 0.917269i | \(0.369611\pi\) |
−0.756815 | + | 0.653629i | \(0.773246\pi\) | |||||||
\(770\) | 0.423784 | − | 3.19556i | 0.0152721 | − | 0.115160i | ||||
\(771\) | 3.95707 | + | 17.3370i | 0.142510 | + | 0.624378i | ||||
\(772\) | 1.82971 | + | 24.4158i | 0.0658529 | + | 0.878746i | ||||
\(773\) | −7.91107 | − | 2.44024i | −0.284542 | − | 0.0877694i | 0.149199 | − | 0.988807i | \(-0.452330\pi\) |
−0.433741 | + | 0.901038i | \(0.642807\pi\) | |||||||
\(774\) | −7.73679 | − | 19.7130i | −0.278093 | − | 0.708570i | ||||
\(775\) | −11.2738 | + | 3.47751i | −0.404967 | + | 0.124916i | ||||
\(776\) | 9.80459 | + | 12.2946i | 0.351964 | + | 0.441349i | ||||
\(777\) | 0.0585547 | + | 3.29804i | 0.00210064 | + | 0.118317i | ||||
\(778\) | 8.54575 | − | 10.7160i | 0.306380 | − | 0.384188i | ||||
\(779\) | 13.0284 | − | 33.1959i | 0.466792 | − | 1.18937i | ||||
\(780\) | 0.436880 | − | 5.82976i | 0.0156428 | − | 0.208739i | ||||
\(781\) | −1.86635 | + | 0.281307i | −0.0667833 | + | 0.0100660i | ||||
\(782\) | −5.69548 | + | 5.28463i | −0.203670 | + | 0.188978i | ||||
\(783\) | 24.4289 | 0.873018 | ||||||||
\(784\) | −5.92000 | − | 3.73545i | −0.211429 | − | 0.133409i | ||||
\(785\) | −13.1077 | −0.467834 | ||||||||
\(786\) | −6.73956 | + | 6.25339i | −0.240392 | + | 0.223051i | ||||
\(787\) | −17.5140 | + | 2.63981i | −0.624308 | + | 0.0940992i | −0.453575 | − | 0.891218i | \(-0.649852\pi\) |
−0.170733 | + | 0.985317i | \(0.554613\pi\) | |||||||
\(788\) | −0.913613 | + | 12.1913i | −0.0325461 | + | 0.434298i | ||||
\(789\) | 7.59410 | − | 19.3495i | 0.270357 | − | 0.688859i | ||||
\(790\) | 8.03155 | − | 10.0712i | 0.285750 | − | 0.358319i | ||||
\(791\) | −18.3002 | + | 39.7927i | −0.650680 | + | 1.41486i | ||||
\(792\) | 0.840352 | + | 1.05377i | 0.0298606 | + | 0.0374440i | ||||
\(793\) | −39.1526 | + | 12.0770i | −1.39035 | + | 0.428866i | ||||
\(794\) | −8.04097 | − | 20.4880i | −0.285363 | − | 0.727094i | ||||
\(795\) | −1.42139 | − | 0.438441i | −0.0504115 | − | 0.0155499i | ||||
\(796\) | −0.260303 | − | 3.47350i | −0.00922620 | − | 0.123115i | ||||
\(797\) | −10.1255 | − | 44.3627i | −0.358663 | − | 1.57141i | −0.756527 | − | 0.653963i | \(-0.773105\pi\) |
0.397863 | − | 0.917445i | \(-0.369752\pi\) | |||||||
\(798\) | 11.4475 | + | 4.25989i | 0.405238 | + | 0.150799i | ||||
\(799\) | 0.902132 | − | 3.95250i | 0.0319151 | − | 0.139829i | ||||
\(800\) | 2.46240 | + | 0.371147i | 0.0870590 | + | 0.0131220i | ||||
\(801\) | −2.61811 | + | 1.78500i | −0.0925063 | + | 0.0630697i | ||||
\(802\) | 10.0537 | − | 17.4135i | 0.355007 | − | 0.614891i | ||||
\(803\) | 5.37525 | + | 9.31021i | 0.189688 | + | 0.328550i | ||||
\(804\) | −6.12448 | − | 2.94940i | −0.215994 | − | 0.104017i | ||||
\(805\) | −31.2136 | + | 12.8945i | −1.10013 | + | 0.454470i | ||||
\(806\) | 14.1031 | − | 6.79169i | 0.496760 | − | 0.239227i | ||||
\(807\) | 24.0428 | + | 16.3921i | 0.846348 | + | 0.577030i | ||||
\(808\) | 7.33264 | + | 6.80370i | 0.257962 | + | 0.239353i | ||||
\(809\) | 17.6085 | + | 16.3383i | 0.619081 | + | 0.574423i | 0.926099 | − | 0.377281i | \(-0.123141\pi\) |
−0.307018 | + | 0.951704i | \(0.599331\pi\) | |||||||
\(810\) | −0.878330 | − | 0.598835i | −0.0308614 | − | 0.0210409i | ||||
\(811\) | −14.0519 | + | 6.76704i | −0.493429 | + | 0.237623i | −0.664014 | − | 0.747720i | \(-0.731149\pi\) |
0.170585 | + | 0.985343i | \(0.445434\pi\) | |||||||
\(812\) | −8.12220 | + | 9.07144i | −0.285033 | + | 0.318345i | ||||
\(813\) | 1.59306 | + | 0.767179i | 0.0558712 | + | 0.0269062i | ||||
\(814\) | 0.429236 | + | 0.743459i | 0.0150447 | + | 0.0260582i | ||||
\(815\) | −2.53087 | + | 4.38360i | −0.0886525 | + | 0.153551i | ||||
\(816\) | 0.889866 | − | 0.606701i | 0.0311516 | − | 0.0212388i | ||||
\(817\) | −49.3887 | − | 7.44415i | −1.72789 | − | 0.260438i | ||||
\(818\) | −6.72026 | + | 29.4434i | −0.234968 | + | 1.02946i | ||||
\(819\) | −4.77471 | − | 14.5566i | −0.166842 | − | 0.508649i | ||||
\(820\) | −3.04139 | − | 13.3252i | −0.106210 | − | 0.465337i | ||||
\(821\) | −3.42952 | − | 45.7638i | −0.119691 | − | 1.59717i | −0.657072 | − | 0.753828i | \(-0.728205\pi\) |
0.537381 | − | 0.843339i | \(-0.319414\pi\) | |||||||
\(822\) | 7.14691 | + | 2.20453i | 0.249277 | + | 0.0768918i | ||||
\(823\) | 0.656019 | + | 1.67151i | 0.0228674 | + | 0.0582651i | 0.941851 | − | 0.336029i | \(-0.109084\pi\) |
−0.918984 | + | 0.394295i | \(0.870989\pi\) | |||||||
\(824\) | −0.965836 | + | 0.297921i | −0.0336465 | + | 0.0103786i | ||||
\(825\) | −1.33366 | − | 1.67236i | −0.0464321 | − | 0.0582240i | ||||
\(826\) | −8.83369 | − | 6.79164i | −0.307364 | − | 0.236311i | ||||
\(827\) | 17.9905 | − | 22.5594i | 0.625592 | − | 0.784467i | −0.363527 | − | 0.931584i | \(-0.618428\pi\) |
0.989119 | + | 0.147116i | \(0.0469991\pi\) | |||||||
\(828\) | 5.15888 | − | 13.1446i | 0.179284 | − | 0.456807i | ||||
\(829\) | −1.50211 | + | 20.0443i | −0.0521704 | + | 0.696166i | 0.908395 | + | 0.418113i | \(0.137308\pi\) |
−0.960566 | + | 0.278053i | \(0.910311\pi\) | |||||||
\(830\) | 18.4109 | − | 2.77499i | 0.639051 | − | 0.0963214i | ||||
\(831\) | 16.9328 | − | 15.7114i | 0.587393 | − | 0.545021i | ||||
\(832\) | −3.30396 | −0.114544 | ||||||||
\(833\) | −6.63468 | + | 1.24233i | −0.229878 | + | 0.0430442i | ||||
\(834\) | −13.4484 | −0.465680 | ||||||||
\(835\) | −27.8172 | + | 25.8105i | −0.962652 | + | 0.893211i | ||||
\(836\) | 3.14338 | − | 0.473789i | 0.108716 | − | 0.0163863i | ||||
\(837\) | 1.87934 | − | 25.0780i | 0.0649595 | − | 0.866824i | ||||
\(838\) | 9.68953 | − | 24.6885i | 0.334719 | − | 0.852851i | ||||
\(839\) | −28.5369 | + | 35.7842i | −0.985204 | + | 1.23541i | −0.0133290 | + | 0.999911i | \(0.504243\pi\) |
−0.971875 | + | 0.235496i | \(0.924329\pi\) | |||||||
\(840\) | 4.54488 | − | 1.12258i | 0.156813 | − | 0.0387327i | ||||
\(841\) | −4.87558 | − | 6.11379i | −0.168124 | − | 0.210820i | ||||
\(842\) | 3.26797 | − | 1.00804i | 0.112622 | − | 0.0347392i | ||||
\(843\) | −3.92245 | − | 9.99423i | −0.135096 | − | 0.344220i | ||||
\(844\) | −11.8090 | − | 3.64260i | −0.406483 | − | 0.125383i | ||||
\(845\) | −0.246709 | − | 3.29210i | −0.00848704 | − | 0.113252i | ||||
\(846\) | 1.63958 | + | 7.18346i | 0.0563698 | + | 0.246972i | ||||
\(847\) | −19.0863 | − | 19.8514i | −0.655812 | − | 0.682102i | ||||
\(848\) | −0.187063 | + | 0.819577i | −0.00642377 | + | 0.0281444i | ||||
\(849\) | −10.5379 | − | 1.58833i | −0.361660 | − | 0.0545115i | ||||
\(850\) | 1.98403 | − | 1.35269i | 0.0680515 | − | 0.0463967i | ||||
\(851\) | 4.49699 | − | 7.78901i | 0.154155 | − | 0.267004i | ||||
\(852\) | −1.37054 | − | 2.37384i | −0.0469538 | − | 0.0813263i | ||||
\(853\) | −2.31043 | − | 1.11264i | −0.0791075 | − | 0.0380962i | 0.393912 | − | 0.919148i | \(-0.371122\pi\) |
−0.473019 | + | 0.881052i | \(0.656836\pi\) | |||||||
\(854\) | −18.9611 | − | 26.7768i | −0.648834 | − | 0.916284i | ||||
\(855\) | 10.3396 | − | 4.97930i | 0.353608 | − | 0.170289i | ||||
\(856\) | 14.7780 | + | 10.0754i | 0.505100 | + | 0.344372i | ||||
\(857\) | −12.4163 | − | 11.5206i | −0.424132 | − | 0.393537i | 0.439023 | − | 0.898476i | \(-0.355325\pi\) |
−0.863155 | + | 0.504938i | \(0.831515\pi\) | |||||||
\(858\) | 2.08041 | + | 1.93034i | 0.0710240 | + | 0.0659006i | ||||
\(859\) | −22.9625 | − | 15.6556i | −0.783472 | − | 0.534162i | 0.104245 | − | 0.994552i | \(-0.466757\pi\) |
−0.887717 | + | 0.460389i | \(0.847710\pi\) | |||||||
\(860\) | −17.2474 | + | 8.30592i | −0.588132 | + | 0.283229i | ||||
\(861\) | 14.7332 | + | 20.8063i | 0.502107 | + | 0.709076i | ||||
\(862\) | −16.9397 | − | 8.15773i | −0.576968 | − | 0.277853i | ||||
\(863\) | 6.87523 | + | 11.9082i | 0.234035 | + | 0.405361i | 0.958992 | − | 0.283433i | \(-0.0914735\pi\) |
−0.724956 | + | 0.688795i | \(0.758140\pi\) | |||||||
\(864\) | −2.65405 | + | 4.59695i | −0.0902927 | + | 0.156392i | ||||
\(865\) | 32.2752 | − | 22.0049i | 1.09739 | − | 0.748188i | ||||
\(866\) | −22.5538 | − | 3.39944i | −0.766410 | − | 0.115518i | ||||
\(867\) | −3.99397 | + | 17.4987i | −0.135642 | + | 0.594288i | ||||
\(868\) | 8.68763 | + | 9.03590i | 0.294877 | + | 0.306698i | ||||
\(869\) | 1.39151 | + | 6.09662i | 0.0472039 | + | 0.206814i | ||||
\(870\) | −0.608545 | − | 8.12047i | −0.0206316 | − | 0.275310i | ||||
\(871\) | 19.2151 | + | 5.92709i | 0.651080 | + | 0.200832i | ||||
\(872\) | −4.89676 | − | 12.4767i | −0.165825 | − | 0.422516i | ||||
\(873\) | −26.3348 | + | 8.12322i | −0.891299 | + | 0.274929i | ||||
\(874\) | −20.7649 | − | 26.0384i | −0.702384 | − | 0.880761i | ||||
\(875\) | 30.4791 | − | 7.52830i | 1.03038 | − | 0.254503i | ||||
\(876\) | −9.73435 | + | 12.2065i | −0.328893 | + | 0.412419i | ||||
\(877\) | 20.7284 | − | 52.8151i | 0.699949 | − | 1.78344i | 0.0828390 | − | 0.996563i | \(-0.473601\pi\) |
0.617110 | − | 0.786877i | \(-0.288303\pi\) | |||||||
\(878\) | −1.57687 | + | 21.0419i | −0.0532169 | + | 0.710130i | ||||
\(879\) | −10.4139 | + | 1.56965i | −0.351253 | + | 0.0529428i | ||||
\(880\) | 0.893138 | − | 0.828711i | 0.0301077 | − | 0.0279358i | ||||
\(881\) | −24.5905 | −0.828475 | −0.414237 | − | 0.910169i | \(-0.635952\pi\) | ||||
−0.414237 | + | 0.910169i | \(0.635952\pi\) | |||||||
\(882\) | 9.88439 | − | 7.26612i | 0.332825 | − | 0.244663i | ||||
\(883\) | −37.6457 | −1.26688 | −0.633439 | − | 0.773793i | \(-0.718357\pi\) | ||||
−0.633439 | + | 0.773793i | \(0.718357\pi\) | |||||||
\(884\) | −2.33547 | + | 2.16700i | −0.0785503 | + | 0.0728840i | ||||
\(885\) | 7.36881 | − | 1.11067i | 0.247700 | − | 0.0373347i | ||||
\(886\) | −0.918178 | + | 12.2522i | −0.0308468 | + | 0.411622i | ||||
\(887\) | −18.5372 | + | 47.2320i | −0.622418 | + | 1.58590i | 0.176397 | + | 0.984319i | \(0.443556\pi\) |
−0.798815 | + | 0.601576i | \(0.794540\pi\) | |||||||
\(888\) | −0.777329 | + | 0.974739i | −0.0260854 | + | 0.0327101i | ||||
\(889\) | −1.01514 | − | 0.780473i | −0.0340467 | − | 0.0261762i | ||||
\(890\) | 1.78592 | + | 2.23948i | 0.0598643 | + | 0.0750675i | ||||
\(891\) | 0.493131 | − | 0.152111i | 0.0165205 | − | 0.00509591i | ||||
\(892\) | 5.48946 | + | 13.9869i | 0.183801 | + | 0.468316i | ||||
\(893\) | 16.6061 | + | 5.12231i | 0.555703 | + | 0.171412i | ||||
\(894\) | 0.750614 | + | 10.0162i | 0.0251043 | + | 0.334993i | ||||
\(895\) | 1.74837 | + | 7.66010i | 0.0584415 | + | 0.256049i | ||||
\(896\) | −0.824606 | − | 2.51397i | −0.0275481 | − | 0.0839857i | ||||
\(897\) | 6.61622 | − | 28.9876i | 0.220909 | − | 0.967867i | ||||
\(898\) | −19.5733 | − | 2.95020i | −0.653170 | − | 0.0984495i | ||||
\(899\) | 18.0153 | − | 12.2826i | 0.600842 | − | 0.409647i | ||||
\(900\) | −2.18209 | + | 3.77950i | −0.0727364 | + | 0.125983i | ||||
\(901\) | 0.405315 | + | 0.702025i | 0.0135030 | + | 0.0233879i | ||||
\(902\) | 5.97804 | + | 2.87887i | 0.199047 | + | 0.0958559i | ||||
\(903\) | 23.8188 | − | 26.6024i | 0.792639 | − | 0.885274i | ||||
\(904\) | −14.9151 | + | 7.18272i | −0.496068 | + | 0.238894i | ||||
\(905\) | −5.83821 | − | 3.98043i | −0.194069 | − | 0.132314i | ||||
\(906\) | −12.6028 | − | 11.6937i | −0.418700 | − | 0.388497i | ||||
\(907\) | −1.63870 | − | 1.52049i | −0.0544121 | − | 0.0504870i | 0.652498 | − | 0.757790i | \(-0.273721\pi\) |
−0.706910 | + | 0.707303i | \(0.749912\pi\) | |||||||
\(908\) | −8.80527 | − | 6.00333i | −0.292213 | − | 0.199227i | ||||
\(909\) | −15.7944 | + | 7.60617i | −0.523866 | + | 0.252281i | ||||
\(910\) | −12.7993 | + | 5.28746i | −0.424294 | + | 0.175277i | ||||
\(911\) | 2.32925 | + | 1.12171i | 0.0771716 | + | 0.0371639i | 0.472071 | − | 0.881560i | \(-0.343506\pi\) |
−0.394900 | + | 0.918724i | \(0.629221\pi\) | |||||||
\(912\) | 2.30831 | + | 3.99811i | 0.0764358 | + | 0.132391i | ||||
\(913\) | −4.51928 | + | 7.82763i | −0.149566 | + | 0.259057i | ||||
\(914\) | −19.8132 | + | 13.5084i | −0.655364 | + | 0.446820i | ||||
\(915\) | 21.6979 | + | 3.27042i | 0.717309 | + | 0.108117i | ||||
\(916\) | −3.50545 | + | 15.3584i | −0.115823 | + | 0.507456i | ||||
\(917\) | 20.4112 | + | 7.59551i | 0.674039 | + | 0.250826i | ||||
\(918\) | 1.13898 | + | 4.99019i | 0.0375919 | + | 0.164701i | ||||
\(919\) | 0.658467 | + | 8.78664i | 0.0217208 | + | 0.289844i | 0.997477 | + | 0.0709855i | \(0.0226144\pi\) |
−0.975757 | + | 0.218859i | \(0.929767\pi\) | |||||||
\(920\) | −12.1976 | − | 3.76245i | −0.402142 | − | 0.124044i | ||||
\(921\) | 3.39373 | + | 8.64708i | 0.111827 | + | 0.284931i | ||||
\(922\) | 5.76978 | − | 1.77974i | 0.190018 | − | 0.0586127i | ||||
\(923\) | 5.05557 | + | 6.33948i | 0.166406 | + | 0.208667i | ||||
\(924\) | −0.949554 | + | 2.06475i | −0.0312380 | + | 0.0679253i | ||||
\(925\) | −1.73311 | + | 2.17326i | −0.0569844 | + | 0.0714562i | ||||
\(926\) | −4.34807 | + | 11.0787i | −0.142886 | + | 0.364069i | ||||
\(927\) | 0.132374 | − | 1.76640i | 0.00434772 | − | 0.0580163i | ||||
\(928\) | −4.55079 | + | 0.685921i | −0.149387 | + | 0.0225165i | ||||
\(929\) | 18.3480 | − | 17.0245i | 0.601980 | − | 0.558555i | −0.319203 | − | 0.947686i | \(-0.603415\pi\) |
0.921182 | + | 0.389131i | \(0.127225\pi\) | |||||||
\(930\) | −8.38306 | −0.274891 | ||||||||
\(931\) | −3.18509 | − | 28.7581i | −0.104387 | − | 0.942510i | ||||
\(932\) | 20.8596 | 0.683277 | ||||||||
\(933\) | −14.7822 | + | 13.7159i | −0.483948 | + | 0.449038i | ||||
\(934\) | −0.993040 | + | 0.149677i | −0.0324933 | + | 0.00489757i | ||||
\(935\) | 0.0877979 | − | 1.17158i | 0.00287130 | − | 0.0383148i | ||||
\(936\) | 2.11543 | − | 5.39004i | 0.0691451 | − | 0.176179i | ||||
\(937\) | 16.5017 | − | 20.6925i | 0.539087 | − | 0.675994i | −0.435452 | − | 0.900212i | \(-0.643411\pi\) |
0.974539 | + | 0.224218i | \(0.0719828\pi\) | |||||||
\(938\) | 0.285846 | + | 16.1000i | 0.00933319 | + | 0.525684i | ||||
\(939\) | −11.6988 | − | 14.6698i | −0.381776 | − | 0.478732i | ||||
\(940\) | 6.36468 | − | 1.96324i | 0.207593 | − | 0.0640339i | ||||
\(941\) | 18.9113 | + | 48.1852i | 0.616491 | + | 1.57079i | 0.807924 | + | 0.589287i | \(0.200591\pi\) |
−0.191433 | + | 0.981506i | \(0.561314\pi\) | |||||||
\(942\) | 8.83053 | + | 2.72386i | 0.287714 | + | 0.0887481i | ||||
\(943\) | −5.19481 | − | 69.3199i | −0.169166 | − | 2.25737i | ||||
\(944\) | −0.937160 | − | 4.10596i | −0.0305019 | − | 0.133638i | ||||
\(945\) | −2.92495 | + | 22.0557i | −0.0951487 | + | 0.717472i | ||||
\(946\) | 2.06791 | − | 9.06012i | 0.0672336 | − | 0.294570i | ||||
\(947\) | −21.6735 | − | 3.26675i | −0.704293 | − | 0.106155i | −0.212876 | − | 0.977079i | \(-0.568283\pi\) |
−0.491417 | + | 0.870924i | \(0.663521\pi\) | |||||||
\(948\) | −7.50363 | + | 5.11589i | −0.243706 | + | 0.166156i | ||||
\(949\) | 23.0923 | − | 39.9971i | 0.749608 | − | 1.29836i | ||||
\(950\) | 5.14656 | + | 8.91410i | 0.166976 | + | 0.289211i | ||||
\(951\) | 21.5324 | + | 10.3695i | 0.698237 | + | 0.336253i | ||||
\(952\) | −2.23175 | − | 1.23621i | −0.0723314 | − | 0.0400657i | ||||
\(953\) | 53.1575 | − | 25.5993i | 1.72194 | − | 0.829243i | 0.733128 | − | 0.680091i | \(-0.238060\pi\) |
0.988814 | − | 0.149152i | \(-0.0476545\pi\) | |||||||
\(954\) | −1.21728 | − | 0.829925i | −0.0394108 | − | 0.0268698i | ||||
\(955\) | 13.3724 | + | 12.4078i | 0.432722 | + | 0.401507i | ||||
\(956\) | 7.80827 | + | 7.24502i | 0.252538 | + | 0.234321i | ||||
\(957\) | 3.26625 | + | 2.22689i | 0.105583 | + | 0.0719853i | ||||
\(958\) | −15.5942 | + | 7.50976i | −0.503825 | + | 0.242629i | ||||
\(959\) | −2.95115 | − | 17.4694i | −0.0952977 | − | 0.564118i | ||||
\(960\) | 1.59420 | + | 0.767726i | 0.0514525 | + | 0.0247782i | ||||
\(961\) | 4.27697 | + | 7.40793i | 0.137967 | + | 0.238965i | ||||
\(962\) | 1.84402 | − | 3.19394i | 0.0594536 | − | 0.102977i | ||||
\(963\) | −25.8989 | + | 17.6576i | −0.834580 | + | 0.569007i | ||||
\(964\) | −6.11759 | − | 0.922079i | −0.197034 | − | 0.0296982i | ||||
\(965\) | −8.63132 | + | 37.8163i | −0.277852 | + | 1.21735i | ||||
\(966\) | 23.7078 | − | 2.20050i | 0.762786 | − | 0.0707999i | ||||
\(967\) | −0.635604 | − | 2.78476i | −0.0204397 | − | 0.0895520i | 0.963679 | − | 0.267062i | \(-0.0860529\pi\) |
−0.984119 | + | 0.177510i | \(0.943196\pi\) | |||||||
\(968\) | −0.777831 | − | 10.3794i | −0.0250004 | − | 0.333607i | ||||
\(969\) | 4.25396 | + | 1.31217i | 0.136657 | + | 0.0421530i | ||||
\(970\) | 9.10158 | + | 23.1904i | 0.292234 | + | 0.744600i | ||||
\(971\) | −35.2691 | + | 10.8791i | −1.13184 | + | 0.349126i | −0.803423 | − | 0.595408i | \(-0.796990\pi\) |
−0.328414 | + | 0.944534i | \(0.606514\pi\) | |||||||
\(972\) | −9.46137 | − | 11.8642i | −0.303474 | − | 0.380544i | ||||
\(973\) | 14.3296 | + | 28.4523i | 0.459385 | + | 0.912139i | ||||
\(974\) | −1.19336 | + | 1.49643i | −0.0382377 | + | 0.0479486i | ||||
\(975\) | −3.35725 | + | 8.55413i | −0.107518 | + | 0.273951i | ||||
\(976\) | 0.926739 | − | 12.3665i | 0.0296642 | − | 0.395841i | ||||
\(977\) | 40.3649 | − | 6.08403i | 1.29139 | − | 0.194646i | 0.532814 | − | 0.846232i | \(-0.321134\pi\) |
0.758574 | + | 0.651587i | \(0.225896\pi\) | |||||||
\(978\) | 2.61596 | − | 2.42725i | 0.0836491 | − | 0.0776150i | ||||
\(979\) | −1.39053 | −0.0444416 | ||||||||
\(980\) | −7.21768 | − | 8.41931i | −0.230560 | − | 0.268945i | ||||
\(981\) | 23.4897 | 0.749968 | ||||||||
\(982\) | −0.873435 | + | 0.810429i | −0.0278724 | + | 0.0258618i | ||||
\(983\) | 59.9192 | − | 9.03136i | 1.91112 | − | 0.288056i | 0.917227 | − | 0.398364i | \(-0.130422\pi\) |
0.993897 | + | 0.110309i | \(0.0351839\pi\) | |||||||
\(984\) | −0.720100 | + | 9.60907i | −0.0229560 | + | 0.306326i | ||||
\(985\) | −7.07593 | + | 18.0292i | −0.225458 | + | 0.574457i | ||||
\(986\) | −2.76694 | + | 3.46963i | −0.0881172 | + | 0.110495i | ||||
\(987\) | −9.57435 | + | 7.91738i | −0.304755 | + | 0.252013i | ||||
\(988\) | −8.51479 | − | 10.6772i | −0.270891 | − | 0.339687i | ||||
\(989\) | −93.0358 | + | 28.6978i | −2.95837 | + | 0.912535i | ||||
\(990\) | 0.780098 | + | 1.98766i | 0.0247931 | + | 0.0631719i | ||||
\(991\) | 0.0148715 | + | 0.00458726i | 0.000472409 | + | 0.000145719i | 0.294991 | − | 0.955500i | \(-0.404683\pi\) |
−0.294519 | + | 0.955646i | \(0.595159\pi\) | |||||||
\(992\) | 0.354051 | + | 4.72448i | 0.0112411 | + | 0.150002i | ||||
\(993\) | 0.161762 | + | 0.708725i | 0.00513336 | + | 0.0224907i | ||||
\(994\) | −3.56191 | + | 5.42897i | −0.112977 | + | 0.172197i | ||||
\(995\) | 1.22793 | − | 5.37991i | 0.0389280 | − | 0.170555i | ||||
\(996\) | −12.9799 | − | 1.95640i | −0.411283 | − | 0.0619909i | ||||
\(997\) | −17.6610 | + | 12.0411i | −0.559330 | + | 0.381344i | −0.809734 | − | 0.586797i | \(-0.800389\pi\) |
0.250405 | + | 0.968141i | \(0.419436\pi\) | |||||||
\(998\) | −2.16879 | + | 3.75645i | −0.0686518 | + | 0.118908i | ||||
\(999\) | −2.96258 | − | 5.13135i | −0.0937320 | − | 0.162349i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 98.2.g.b.11.2 | yes | 24 | |
3.2 | odd | 2 | 882.2.z.b.109.2 | 24 | |||
4.3 | odd | 2 | 784.2.bg.b.305.1 | 24 | |||
7.2 | even | 3 | 686.2.g.f.471.1 | 24 | |||
7.3 | odd | 6 | 686.2.e.d.589.3 | 24 | |||
7.4 | even | 3 | 686.2.e.c.589.2 | 24 | |||
7.5 | odd | 6 | 686.2.g.d.471.2 | 24 | |||
7.6 | odd | 2 | 686.2.g.e.655.1 | 24 | |||
49.3 | odd | 42 | 4802.2.a.l.1.9 | 12 | |||
49.9 | even | 21 | inner | 98.2.g.b.9.2 | ✓ | 24 | |
49.15 | even | 7 | 686.2.g.f.67.1 | 24 | |||
49.24 | odd | 42 | 686.2.e.d.99.3 | 24 | |||
49.25 | even | 21 | 686.2.e.c.99.2 | 24 | |||
49.34 | odd | 14 | 686.2.g.d.67.2 | 24 | |||
49.40 | odd | 42 | 686.2.g.e.177.1 | 24 | |||
49.46 | even | 21 | 4802.2.a.o.1.4 | 12 | |||
147.107 | odd | 42 | 882.2.z.b.793.2 | 24 | |||
196.107 | odd | 42 | 784.2.bg.b.401.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.b.9.2 | ✓ | 24 | 49.9 | even | 21 | inner | |
98.2.g.b.11.2 | yes | 24 | 1.1 | even | 1 | trivial | |
686.2.e.c.99.2 | 24 | 49.25 | even | 21 | |||
686.2.e.c.589.2 | 24 | 7.4 | even | 3 | |||
686.2.e.d.99.3 | 24 | 49.24 | odd | 42 | |||
686.2.e.d.589.3 | 24 | 7.3 | odd | 6 | |||
686.2.g.d.67.2 | 24 | 49.34 | odd | 14 | |||
686.2.g.d.471.2 | 24 | 7.5 | odd | 6 | |||
686.2.g.e.177.1 | 24 | 49.40 | odd | 42 | |||
686.2.g.e.655.1 | 24 | 7.6 | odd | 2 | |||
686.2.g.f.67.1 | 24 | 49.15 | even | 7 | |||
686.2.g.f.471.1 | 24 | 7.2 | even | 3 | |||
784.2.bg.b.305.1 | 24 | 4.3 | odd | 2 | |||
784.2.bg.b.401.1 | 24 | 196.107 | odd | 42 | |||
882.2.z.b.109.2 | 24 | 3.2 | odd | 2 | |||
882.2.z.b.793.2 | 24 | 147.107 | odd | 42 | |||
4802.2.a.l.1.9 | 12 | 49.3 | odd | 42 | |||
4802.2.a.o.1.4 | 12 | 49.46 | even | 21 |