Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(197,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.j (of order \(4\), degree \(2\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 197.9 | ||
Character | \(\chi\) | \(=\) | 735.197 |
Dual form | 735.2.j.e.638.9 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.929340 | − | 0.929340i | 0.657142 | − | 0.657142i | −0.297561 | − | 0.954703i | \(-0.596173\pi\) |
0.954703 | + | 0.297561i | \(0.0961730\pi\) | |||||||
\(3\) | −1.37531 | − | 1.05286i | −0.794038 | − | 0.607868i | ||||
\(4\) | 0.272655i | 0.136328i | ||||||||
\(5\) | 0.980304 | − | 2.00973i | 0.438405 | − | 0.898777i | ||||
\(6\) | −2.25660 | + | 0.299670i | −0.921252 | + | 0.122340i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.11207 | + | 2.11207i | 0.746729 | + | 0.746729i | ||||
\(9\) | 0.782976 | + | 2.89602i | 0.260992 | + | 0.965341i | ||||
\(10\) | −0.956684 | − | 2.77876i | −0.302530 | − | 0.878719i | ||||
\(11\) | − | 3.90548i | − | 1.17755i | −0.808299 | − | 0.588773i | \(-0.799611\pi\) | ||
0.808299 | − | 0.588773i | \(-0.200389\pi\) | |||||||
\(12\) | 0.287068 | − | 0.374987i | 0.0828693 | − | 0.108249i | ||||
\(13\) | 1.56642 | − | 1.56642i | 0.434448 | − | 0.434448i | −0.455691 | − | 0.890138i | \(-0.650608\pi\) |
0.890138 | + | 0.455691i | \(0.150608\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.46419 | + | 1.73188i | −0.894449 | + | 0.447170i | ||||
\(16\) | 3.38035 | 0.845087 | ||||||||
\(17\) | 1.89349 | − | 1.89349i | 0.459239 | − | 0.459239i | −0.439167 | − | 0.898406i | \(-0.644726\pi\) |
0.898406 | + | 0.439167i | \(0.144726\pi\) | |||||||
\(18\) | 3.41904 | + | 1.96374i | 0.805875 | + | 0.462858i | ||||
\(19\) | − | 1.86019i | − | 0.426757i | −0.976970 | − | 0.213379i | \(-0.931553\pi\) | ||
0.976970 | − | 0.213379i | \(-0.0684468\pi\) | |||||||
\(20\) | 0.547963 | + | 0.267285i | 0.122528 | + | 0.0597668i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.62951 | − | 3.62951i | −0.773815 | − | 0.773815i | ||||
\(23\) | −1.74459 | − | 1.74459i | −0.363772 | − | 0.363772i | 0.501428 | − | 0.865200i | \(-0.332808\pi\) |
−0.865200 | + | 0.501428i | \(0.832808\pi\) | |||||||
\(24\) | −0.681047 | − | 5.12847i | −0.139018 | − | 1.04684i | ||||
\(25\) | −3.07801 | − | 3.94029i | −0.615601 | − | 0.788058i | ||||
\(26\) | − | 2.91148i | − | 0.570988i | ||||||
\(27\) | 1.97227 | − | 4.80730i | 0.379563 | − | 0.925166i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.513153 | −0.0952901 | −0.0476450 | − | 0.998864i | \(-0.515172\pi\) | ||||
−0.0476450 | + | 0.998864i | \(0.515172\pi\) | |||||||
\(30\) | −1.60990 | + | 4.82891i | −0.293926 | + | 0.881635i | ||||
\(31\) | −8.58277 | −1.54151 | −0.770755 | − | 0.637131i | \(-0.780121\pi\) | ||||
−0.770755 | + | 0.637131i | \(0.780121\pi\) | |||||||
\(32\) | −1.08265 | + | 1.08265i | −0.191387 | + | 0.191387i | ||||
\(33\) | −4.11191 | + | 5.37125i | −0.715793 | + | 0.935015i | ||||
\(34\) | − | 3.51939i | − | 0.603570i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.789616 | + | 0.213483i | −0.131603 | + | 0.0355804i | ||||
\(37\) | 4.83665 | + | 4.83665i | 0.795140 | + | 0.795140i | 0.982325 | − | 0.187185i | \(-0.0599363\pi\) |
−0.187185 | + | 0.982325i | \(0.559936\pi\) | |||||||
\(38\) | −1.72875 | − | 1.72875i | −0.280440 | − | 0.280440i | ||||
\(39\) | −3.80355 | + | 0.505101i | −0.609055 | + | 0.0808808i | ||||
\(40\) | 6.31515 | − | 2.17421i | 0.998513 | − | 0.343773i | ||||
\(41\) | 0.308469i | 0.0481748i | 0.999710 | + | 0.0240874i | \(0.00766800\pi\) | ||||
−0.999710 | + | 0.0240874i | \(0.992332\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.60892 | − | 7.60892i | 1.16035 | − | 1.16035i | 0.175950 | − | 0.984399i | \(-0.443700\pi\) |
0.984399 | − | 0.175950i | \(-0.0562999\pi\) | |||||||
\(44\) | 1.06485 | 0.160532 | ||||||||
\(45\) | 6.58777 | + | 1.26542i | 0.982047 | + | 0.188637i | ||||
\(46\) | −3.24263 | −0.478100 | ||||||||
\(47\) | −3.74074 | + | 3.74074i | −0.545642 | + | 0.545642i | −0.925177 | − | 0.379535i | \(-0.876084\pi\) |
0.379535 | + | 0.925177i | \(0.376084\pi\) | |||||||
\(48\) | −4.64904 | − | 3.55903i | −0.671031 | − | 0.513702i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −6.52238 | − | 0.801352i | −0.922404 | − | 0.113328i | ||||
\(51\) | −4.59772 | + | 0.610565i | −0.643810 | + | 0.0854962i | ||||
\(52\) | 0.427094 | + | 0.427094i | 0.0592273 | + | 0.0592273i | ||||
\(53\) | −1.36127 | − | 1.36127i | −0.186985 | − | 0.186985i | 0.607407 | − | 0.794391i | \(-0.292210\pi\) |
−0.794391 | + | 0.607407i | \(0.792210\pi\) | |||||||
\(54\) | −2.63471 | − | 6.30052i | −0.358539 | − | 0.857393i | ||||
\(55\) | −7.84894 | − | 3.82855i | −1.05835 | − | 0.516242i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.95852 | + | 2.55835i | −0.259412 | + | 0.338861i | ||||
\(58\) | −0.476893 | + | 0.476893i | −0.0626191 | + | 0.0626191i | ||||
\(59\) | −0.518229 | −0.0674676 | −0.0337338 | − | 0.999431i | \(-0.510740\pi\) | ||||
−0.0337338 | + | 0.999431i | \(0.510740\pi\) | |||||||
\(60\) | −0.472207 | − | 0.944529i | −0.0609617 | − | 0.121938i | ||||
\(61\) | −5.10902 | −0.654143 | −0.327071 | − | 0.945000i | \(-0.606062\pi\) | ||||
−0.327071 | + | 0.945000i | \(0.606062\pi\) | |||||||
\(62\) | −7.97631 | + | 7.97631i | −1.01299 | + | 1.01299i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.77299i | 1.09662i | ||||||||
\(65\) | −1.61251 | − | 4.68365i | −0.200007 | − | 0.580936i | ||||
\(66\) | 1.17035 | + | 8.81309i | 0.144061 | + | 1.08482i | ||||
\(67\) | 6.40207 | + | 6.40207i | 0.782138 | + | 0.782138i | 0.980191 | − | 0.198054i | \(-0.0634620\pi\) |
−0.198054 | + | 0.980191i | \(0.563462\pi\) | |||||||
\(68\) | 0.516270 | + | 0.516270i | 0.0626070 | + | 0.0626070i | ||||
\(69\) | 0.562551 | + | 4.23616i | 0.0677232 | + | 0.509974i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 15.3749i | − | 1.82467i | −0.409448 | − | 0.912333i | \(-0.634279\pi\) | ||
0.409448 | − | 0.912333i | \(-0.365721\pi\) | |||||||
\(72\) | −4.46290 | + | 7.77030i | −0.525958 | + | 0.915739i | ||||
\(73\) | 2.04880 | − | 2.04880i | 0.239794 | − | 0.239794i | −0.576971 | − | 0.816765i | \(-0.695765\pi\) |
0.816765 | + | 0.576971i | \(0.195765\pi\) | |||||||
\(74\) | 8.98978 | 1.04504 | ||||||||
\(75\) | 0.0846572 | + | 8.65984i | 0.00977538 | + | 0.999952i | ||||
\(76\) | 0.507191 | 0.0581788 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −3.06538 | + | 4.00420i | −0.347086 | + | 0.453386i | ||||
\(79\) | − | 5.05241i | − | 0.568440i | −0.958759 | − | 0.284220i | \(-0.908265\pi\) | ||
0.958759 | − | 0.284220i | \(-0.0917347\pi\) | |||||||
\(80\) | 3.31377 | − | 6.79358i | 0.370491 | − | 0.759545i | ||||
\(81\) | −7.77390 | + | 4.53503i | −0.863766 | + | 0.503893i | ||||
\(82\) | 0.286673 | + | 0.286673i | 0.0316577 | + | 0.0316577i | ||||
\(83\) | 9.16088 | + | 9.16088i | 1.00554 | + | 1.00554i | 0.999985 | + | 0.00555287i | \(0.00176754\pi\) |
0.00555287 | + | 0.999985i | \(0.498232\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.94920 | − | 5.66159i | −0.211421 | − | 0.614086i | ||||
\(86\) | − | 14.1425i | − | 1.52503i | ||||||
\(87\) | 0.705746 | + | 0.540277i | 0.0756639 | + | 0.0579238i | ||||
\(88\) | 8.24863 | − | 8.24863i | 0.879307 | − | 0.879307i | ||||
\(89\) | 11.3504 | 1.20314 | 0.601569 | − | 0.798821i | \(-0.294542\pi\) | ||||
0.601569 | + | 0.798821i | \(0.294542\pi\) | |||||||
\(90\) | 7.29828 | − | 4.94628i | 0.769306 | − | 0.521383i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.475671 | − | 0.475671i | 0.0495922 | − | 0.0495922i | ||||
\(93\) | 11.8040 | + | 9.03644i | 1.22402 | + | 0.937036i | ||||
\(94\) | 6.95283i | 0.717129i | ||||||||
\(95\) | −3.73848 | − | 1.82355i | −0.383560 | − | 0.187093i | ||||
\(96\) | 2.62885 | − | 0.349104i | 0.268306 | − | 0.0356303i | ||||
\(97\) | 6.81964 | + | 6.81964i | 0.692430 | + | 0.692430i | 0.962766 | − | 0.270336i | \(-0.0871349\pi\) |
−0.270336 | + | 0.962766i | \(0.587135\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 11.3103 | − | 3.05789i | 1.13673 | − | 0.307330i | ||||
\(100\) | 1.07434 | − | 0.839235i | 0.107434 | − | 0.0839235i | ||||
\(101\) | 4.57138i | 0.454869i | 0.973793 | + | 0.227434i | \(0.0730337\pi\) | ||||
−0.973793 | + | 0.227434i | \(0.926966\pi\) | |||||||
\(102\) | −3.70542 | + | 4.84027i | −0.366891 | + | 0.479258i | ||||
\(103\) | −7.16930 | + | 7.16930i | −0.706413 | + | 0.706413i | −0.965779 | − | 0.259366i | \(-0.916486\pi\) |
0.259366 | + | 0.965779i | \(0.416486\pi\) | |||||||
\(104\) | 6.61679 | 0.648829 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.53016 | −0.245751 | ||||||||
\(107\) | −1.24996 | + | 1.24996i | −0.120838 | + | 0.120838i | −0.764940 | − | 0.644102i | \(-0.777231\pi\) |
0.644102 | + | 0.764940i | \(0.277231\pi\) | |||||||
\(108\) | 1.31074 | + | 0.537749i | 0.126126 | + | 0.0517449i | ||||
\(109\) | 5.37615i | 0.514942i | 0.966286 | + | 0.257471i | \(0.0828892\pi\) | ||||
−0.966286 | + | 0.257471i | \(0.917111\pi\) | |||||||
\(110\) | −10.8524 | + | 3.73630i | −1.03473 | + | 0.356243i | ||||
\(111\) | −1.55960 | − | 11.7442i | −0.148031 | − | 1.11471i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.83259 | + | 7.83259i | 0.736828 | + | 0.736828i | 0.971963 | − | 0.235134i | \(-0.0755530\pi\) |
−0.235134 | + | 0.971963i | \(0.575553\pi\) | |||||||
\(114\) | 0.557444 | + | 4.19770i | 0.0522094 | + | 0.393151i | ||||
\(115\) | −5.21637 | + | 1.79592i | −0.486429 | + | 0.167470i | ||||
\(116\) | − | 0.139914i | − | 0.0129907i | ||||||
\(117\) | 5.76287 | + | 3.30993i | 0.532777 | + | 0.306003i | ||||
\(118\) | −0.481611 | + | 0.481611i | −0.0443358 | + | 0.0443358i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −10.9745 | − | 3.65874i | −1.00183 | − | 0.333996i | ||||
\(121\) | −4.25274 | −0.386613 | ||||||||
\(122\) | −4.74801 | + | 4.74801i | −0.429865 | + | 0.429865i | ||||
\(123\) | 0.324775 | − | 0.424242i | 0.0292839 | − | 0.0382526i | ||||
\(124\) | − | 2.34014i | − | 0.210151i | ||||||
\(125\) | −10.9363 | + | 2.32327i | −0.978171 | + | 0.207800i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.12393 | + | 8.12393i | 0.720883 | + | 0.720883i | 0.968785 | − | 0.247902i | \(-0.0797413\pi\) |
−0.247902 | + | 0.968785i | \(0.579741\pi\) | |||||||
\(128\) | 5.98779 | + | 5.98779i | 0.529251 | + | 0.529251i | ||||
\(129\) | −18.4758 | + | 2.45353i | −1.62670 | + | 0.216022i | ||||
\(130\) | −5.85128 | − | 2.85414i | −0.513191 | − | 0.250324i | ||||
\(131\) | − | 4.39569i | − | 0.384053i | −0.981390 | − | 0.192027i | \(-0.938494\pi\) | ||
0.981390 | − | 0.192027i | \(-0.0615060\pi\) | |||||||
\(132\) | −1.46450 | − | 1.12114i | −0.127468 | − | 0.0975823i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 11.8994 | 1.02795 | ||||||||
\(135\) | −7.72795 | − | 8.67634i | −0.665116 | − | 0.746740i | ||||
\(136\) | 7.99836 | 0.685854 | ||||||||
\(137\) | 4.70477 | − | 4.70477i | 0.401956 | − | 0.401956i | −0.476966 | − | 0.878922i | \(-0.658263\pi\) |
0.878922 | + | 0.476966i | \(0.158263\pi\) | |||||||
\(138\) | 4.45963 | + | 3.41403i | 0.379629 | + | 0.290622i | ||||
\(139\) | 12.3455i | 1.04713i | 0.851987 | + | 0.523564i | \(0.175398\pi\) | ||||
−0.851987 | + | 0.523564i | \(0.824602\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 9.08315 | − | 1.20622i | 0.764939 | − | 0.101582i | ||||
\(142\) | −14.2885 | − | 14.2885i | −1.19907 | − | 1.19907i | ||||
\(143\) | −6.11763 | − | 6.11763i | −0.511582 | − | 0.511582i | ||||
\(144\) | 2.64673 | + | 9.78957i | 0.220561 | + | 0.815797i | ||||
\(145\) | −0.503046 | + | 1.03130i | −0.0417757 | + | 0.0856445i | ||||
\(146\) | − | 3.80806i | − | 0.315158i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.31874 | + | 1.31874i | −0.108400 | + | 0.108400i | ||||
\(149\) | 9.83264 | 0.805521 | 0.402761 | − | 0.915305i | \(-0.368051\pi\) | ||||
0.402761 | + | 0.915305i | \(0.368051\pi\) | |||||||
\(150\) | 8.12661 | + | 7.96926i | 0.663535 | + | 0.650687i | ||||
\(151\) | 1.13105 | 0.0920437 | 0.0460219 | − | 0.998940i | \(-0.485346\pi\) | ||||
0.0460219 | + | 0.998940i | \(0.485346\pi\) | |||||||
\(152\) | 3.92885 | − | 3.92885i | 0.318672 | − | 0.318672i | ||||
\(153\) | 6.96615 | + | 4.00103i | 0.563180 | + | 0.323464i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −8.41372 | + | 17.2490i | −0.675807 | + | 1.38547i | ||||
\(156\) | −0.137718 | − | 1.03706i | −0.0110263 | − | 0.0830310i | ||||
\(157\) | 13.2358 | + | 13.2358i | 1.05633 | + | 1.05633i | 0.998316 | + | 0.0580138i | \(0.0184767\pi\) |
0.0580138 | + | 0.998316i | \(0.481523\pi\) | |||||||
\(158\) | −4.69540 | − | 4.69540i | −0.373546 | − | 0.373546i | ||||
\(159\) | 0.438948 | + | 3.30540i | 0.0348108 | + | 0.262135i | ||||
\(160\) | 1.11450 | + | 3.23715i | 0.0881090 | + | 0.255919i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −3.01001 | + | 11.4392i | −0.236488 | + | 0.898747i | ||||
\(163\) | −9.21128 | + | 9.21128i | −0.721483 | + | 0.721483i | −0.968907 | − | 0.247424i | \(-0.920416\pi\) |
0.247424 | + | 0.968907i | \(0.420416\pi\) | |||||||
\(164\) | −0.0841058 | −0.00656756 | ||||||||
\(165\) | 6.76383 | + | 13.5293i | 0.526563 | + | 1.05325i | ||||
\(166\) | 17.0271 | 1.32156 | ||||||||
\(167\) | 2.44412 | − | 2.44412i | 0.189132 | − | 0.189132i | −0.606189 | − | 0.795321i | \(-0.707302\pi\) |
0.795321 | + | 0.606189i | \(0.207302\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.09264i | 0.622510i | ||||||||
\(170\) | −7.07301 | − | 3.45007i | −0.542475 | − | 0.264609i | ||||
\(171\) | 5.38716 | − | 1.45648i | 0.411966 | − | 0.111380i | ||||
\(172\) | 2.07461 | + | 2.07461i | 0.158188 | + | 0.158188i | ||||
\(173\) | −6.75619 | − | 6.75619i | −0.513664 | − | 0.513664i | 0.401983 | − | 0.915647i | \(-0.368321\pi\) |
−0.915647 | + | 0.401983i | \(0.868321\pi\) | |||||||
\(174\) | 1.15798 | − | 0.153776i | 0.0877862 | − | 0.0116578i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 13.2019i | − | 0.995128i | ||||||
\(177\) | 0.712727 | + | 0.545622i | 0.0535718 | + | 0.0410114i | ||||
\(178\) | 10.5484 | − | 10.5484i | 0.790633 | − | 0.790633i | ||||
\(179\) | −10.7806 | −0.805780 | −0.402890 | − | 0.915248i | \(-0.631994\pi\) | ||||
−0.402890 | + | 0.915248i | \(0.631994\pi\) | |||||||
\(180\) | −0.345022 | + | 1.79619i | −0.0257165 | + | 0.133880i | ||||
\(181\) | 2.86639 | 0.213057 | 0.106529 | − | 0.994310i | \(-0.466026\pi\) | ||||
0.106529 | + | 0.994310i | \(0.466026\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.02650 | + | 5.37907i | 0.519414 | + | 0.397633i | ||||
\(184\) | − | 7.36938i | − | 0.543278i | ||||||
\(185\) | 14.4617 | − | 4.97896i | 1.06325 | − | 0.366060i | ||||
\(186\) | 19.3679 | − | 2.57200i | 1.42012 | − | 0.188588i | ||||
\(187\) | −7.39498 | − | 7.39498i | −0.540774 | − | 0.540774i | ||||
\(188\) | −1.01993 | − | 1.01993i | −0.0743862 | − | 0.0743862i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.16902 | + | 1.77961i | −0.375000 | + | 0.129107i | ||||
\(191\) | − | 14.0064i | − | 1.01347i | −0.862102 | − | 0.506736i | \(-0.830852\pi\) | ||
0.862102 | − | 0.506736i | \(-0.169148\pi\) | |||||||
\(192\) | 9.23672 | − | 12.0656i | 0.666603 | − | 0.870761i | ||||
\(193\) | −6.72419 | + | 6.72419i | −0.484018 | + | 0.484018i | −0.906412 | − | 0.422394i | \(-0.861190\pi\) |
0.422394 | + | 0.906412i | \(0.361190\pi\) | |||||||
\(194\) | 12.6755 | 0.910050 | ||||||||
\(195\) | −2.71352 | + | 8.13924i | −0.194319 | + | 0.582863i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.29206 | + | 5.29206i | −0.377044 | + | 0.377044i | −0.870035 | − | 0.492991i | \(-0.835904\pi\) |
0.492991 | + | 0.870035i | \(0.335904\pi\) | |||||||
\(198\) | 7.66933 | − | 13.3530i | 0.545036 | − | 0.948955i | ||||
\(199\) | 10.3230i | 0.731775i | 0.930659 | + | 0.365888i | \(0.119235\pi\) | ||||
−0.930659 | + | 0.365888i | \(0.880765\pi\) | |||||||
\(200\) | 1.82120 | − | 14.8231i | 0.128778 | − | 1.04815i | ||||
\(201\) | −2.06438 | − | 15.5453i | −0.145610 | − | 1.09648i | ||||
\(202\) | 4.24836 | + | 4.24836i | 0.298914 | + | 0.298914i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.166474 | − | 1.25359i | −0.0116555 | − | 0.0877691i | ||||
\(205\) | 0.619939 | + | 0.302394i | 0.0432984 | + | 0.0211201i | ||||
\(206\) | 13.3254i | 0.928427i | ||||||||
\(207\) | 3.68640 | − | 6.41834i | 0.256222 | − | 0.446105i | ||||
\(208\) | 5.29506 | − | 5.29506i | 0.367146 | − | 0.367146i | ||||
\(209\) | −7.26493 | −0.502526 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.34600 | −0.299191 | −0.149596 | − | 0.988747i | \(-0.547797\pi\) | ||||
−0.149596 | + | 0.988747i | \(0.547797\pi\) | |||||||
\(212\) | 0.371157 | − | 0.371157i | 0.0254912 | − | 0.0254912i | ||||
\(213\) | −16.1876 | + | 21.1453i | −1.10916 | + | 1.44885i | ||||
\(214\) | 2.32328i | 0.158816i | ||||||||
\(215\) | −7.83280 | − | 22.7509i | −0.534192 | − | 1.55160i | ||||
\(216\) | 14.3189 | − | 5.98779i | 0.974279 | − | 0.407418i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.99627 | + | 4.99627i | 0.338390 | + | 0.338390i | ||||
\(219\) | −4.97484 | + | 0.660646i | −0.336169 | + | 0.0446423i | ||||
\(220\) | 1.04388 | − | 2.14006i | 0.0703781 | − | 0.144283i | ||||
\(221\) | − | 5.93201i | − | 0.399030i | ||||||
\(222\) | −12.3638 | − | 9.46497i | −0.829802 | − | 0.635247i | ||||
\(223\) | 11.5568 | − | 11.5568i | 0.773903 | − | 0.773903i | −0.204883 | − | 0.978786i | \(-0.565682\pi\) |
0.978786 | + | 0.204883i | \(0.0656815\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.00116 | − | 11.9991i | 0.600077 | − | 0.799942i | ||||
\(226\) | 14.5583 | 0.968402 | ||||||||
\(227\) | 10.0622 | − | 10.0622i | 0.667853 | − | 0.667853i | −0.289366 | − | 0.957219i | \(-0.593444\pi\) |
0.957219 | + | 0.289366i | \(0.0934443\pi\) | |||||||
\(228\) | −0.697547 | − | 0.534001i | −0.0461962 | − | 0.0353651i | ||||
\(229\) | 17.9816i | 1.18826i | 0.804369 | + | 0.594129i | \(0.202503\pi\) | ||||
−0.804369 | + | 0.594129i | \(0.797497\pi\) | |||||||
\(230\) | −3.17876 | + | 6.51680i | −0.209601 | + | 0.429705i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.08381 | − | 1.08381i | −0.0711559 | − | 0.0711559i | ||||
\(233\) | −8.18223 | − | 8.18223i | −0.536036 | − | 0.536036i | 0.386326 | − | 0.922362i | \(-0.373744\pi\) |
−0.922362 | + | 0.386326i | \(0.873744\pi\) | |||||||
\(234\) | 8.43171 | − | 2.27962i | 0.551198 | − | 0.149023i | ||||
\(235\) | 3.85080 | + | 11.1849i | 0.251198 | + | 0.729623i | ||||
\(236\) | − | 0.141298i | − | 0.00919771i | ||||||
\(237\) | −5.31947 | + | 6.94865i | −0.345537 | + | 0.451363i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −24.0516 | −1.55577 | −0.777885 | − | 0.628407i | \(-0.783707\pi\) | ||||
−0.777885 | + | 0.628407i | \(0.783707\pi\) | |||||||
\(240\) | −11.7102 | + | 5.85437i | −0.755887 | + | 0.377898i | ||||
\(241\) | −1.41457 | −0.0911206 | −0.0455603 | − | 0.998962i | \(-0.514507\pi\) | ||||
−0.0455603 | + | 0.998962i | \(0.514507\pi\) | |||||||
\(242\) | −3.95224 | + | 3.95224i | −0.254060 | + | 0.254060i | ||||
\(243\) | 15.4663 | + | 1.94772i | 0.992163 | + | 0.124947i | ||||
\(244\) | − | 1.39300i | − | 0.0891778i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.0924390 | − | 0.696091i | −0.00589370 | − | 0.0443811i | ||||
\(247\) | −2.91385 | − | 2.91385i | −0.185404 | − | 0.185404i | ||||
\(248\) | −18.1274 | − | 18.1274i | −1.15109 | − | 1.15109i | ||||
\(249\) | −2.95397 | − | 22.2442i | −0.187200 | − | 1.40967i | ||||
\(250\) | −8.00442 | + | 12.3226i | −0.506244 | + | 0.779352i | ||||
\(251\) | 10.8892i | 0.687318i | 0.939094 | + | 0.343659i | \(0.111666\pi\) | ||||
−0.939094 | + | 0.343659i | \(0.888334\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.81345 | + | 6.81345i | −0.428358 | + | 0.428358i | ||||
\(254\) | 15.0998 | 0.947445 | ||||||||
\(255\) | −3.28010 | + | 9.83870i | −0.205408 | + | 0.616123i | ||||
\(256\) | −6.41659 | −0.401037 | ||||||||
\(257\) | −14.0408 | + | 14.0408i | −0.875843 | + | 0.875843i | −0.993101 | − | 0.117259i | \(-0.962589\pi\) |
0.117259 | + | 0.993101i | \(0.462589\pi\) | |||||||
\(258\) | −14.8901 | + | 19.4504i | −0.927017 | + | 1.21093i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.27702 | − | 0.439660i | 0.0791977 | − | 0.0272666i | ||||
\(261\) | −0.401786 | − | 1.48610i | −0.0248699 | − | 0.0919874i | ||||
\(262\) | −4.08509 | − | 4.08509i | −0.252378 | − | 0.252378i | ||||
\(263\) | 18.5408 | + | 18.5408i | 1.14328 | + | 1.14328i | 0.987847 | + | 0.155429i | \(0.0496759\pi\) |
0.155429 | + | 0.987847i | \(0.450324\pi\) | |||||||
\(264\) | −20.0291 | + | 2.65981i | −1.23271 | + | 0.163700i | ||||
\(265\) | −4.07024 | + | 1.40132i | −0.250033 | + | 0.0860825i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −15.6103 | − | 11.9504i | −0.955337 | − | 0.731350i | ||||
\(268\) | −1.74556 | + | 1.74556i | −0.106627 | + | 0.106627i | ||||
\(269\) | 0.482142 | 0.0293967 | 0.0146984 | − | 0.999892i | \(-0.495321\pi\) | ||||
0.0146984 | + | 0.999892i | \(0.495321\pi\) | |||||||
\(270\) | −15.2452 | − | 0.881376i | −0.927790 | − | 0.0536388i | ||||
\(271\) | −5.93166 | −0.360323 | −0.180161 | − | 0.983637i | \(-0.557662\pi\) | ||||
−0.180161 | + | 0.983637i | \(0.557662\pi\) | |||||||
\(272\) | 6.40065 | − | 6.40065i | 0.388097 | − | 0.388097i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 8.74466i | − | 0.528284i | ||||||
\(275\) | −15.3887 | + | 12.0211i | −0.927974 | + | 0.724898i | ||||
\(276\) | −1.15501 | + | 0.153383i | −0.0695236 | + | 0.00923254i | ||||
\(277\) | −9.58848 | − | 9.58848i | −0.576116 | − | 0.576116i | 0.357715 | − | 0.933831i | \(-0.383556\pi\) |
−0.933831 | + | 0.357715i | \(0.883556\pi\) | |||||||
\(278\) | 11.4731 | + | 11.4731i | 0.688112 | + | 0.688112i | ||||
\(279\) | −6.72010 | − | 24.8559i | −0.402322 | − | 1.48808i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 12.2359i | − | 0.729932i | −0.931021 | − | 0.364966i | \(-0.881081\pi\) | ||
0.931021 | − | 0.364966i | \(-0.118919\pi\) | |||||||
\(282\) | 7.32035 | − | 9.56232i | 0.435920 | − | 0.569428i | ||||
\(283\) | 14.4727 | − | 14.4727i | 0.860312 | − | 0.860312i | −0.131063 | − | 0.991374i | \(-0.541839\pi\) |
0.991374 | + | 0.131063i | \(0.0418389\pi\) | |||||||
\(284\) | 4.19205 | 0.248753 | ||||||||
\(285\) | 3.22163 | + | 6.44405i | 0.190833 | + | 0.381712i | ||||
\(286\) | −11.3707 | −0.672364 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.98305 | − | 2.28768i | −0.234704 | − | 0.134803i | ||||
\(289\) | 9.82939i | 0.578200i | ||||||||
\(290\) | 0.490925 | + | 1.42593i | 0.0288281 | + | 0.0837332i | ||||
\(291\) | −2.19903 | − | 16.5593i | −0.128909 | − | 0.970721i | ||||
\(292\) | 0.558617 | + | 0.558617i | 0.0326906 | + | 0.0326906i | ||||
\(293\) | −18.3002 | − | 18.3002i | −1.06911 | − | 1.06911i | −0.997427 | − | 0.0716843i | \(-0.977163\pi\) |
−0.0716843 | − | 0.997427i | \(-0.522837\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.508022 | + | 1.04150i | −0.0295782 | + | 0.0606384i | ||||
\(296\) | 20.4307i | 1.18751i | ||||||||
\(297\) | −18.7748 | − | 7.70264i | −1.08942 | − | 0.446952i | ||||
\(298\) | 9.13786 | − | 9.13786i | 0.529342 | − | 0.529342i | ||||
\(299\) | −5.46553 | −0.316080 | ||||||||
\(300\) | −2.36115 | + | 0.0230823i | −0.136321 | + | 0.00133265i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 1.05113 | − | 1.05113i | 0.0604858 | − | 0.0604858i | ||||
\(303\) | 4.81301 | − | 6.28708i | 0.276500 | − | 0.361183i | ||||
\(304\) | − | 6.28809i | − | 0.360647i | ||||||
\(305\) | −5.00839 | + | 10.2677i | −0.286780 | + | 0.587928i | ||||
\(306\) | 10.1922 | − | 2.75560i | 0.582651 | − | 0.157527i | ||||
\(307\) | −19.2900 | − | 19.2900i | −1.10094 | − | 1.10094i | −0.994298 | − | 0.106640i | \(-0.965991\pi\) |
−0.106640 | − | 0.994298i | \(-0.534009\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 17.4083 | − | 2.31178i | 0.990324 | − | 0.131512i | ||||
\(310\) | 8.21099 | + | 23.8494i | 0.466353 | + | 1.35456i | ||||
\(311\) | 25.3688i | 1.43853i | 0.694734 | + | 0.719266i | \(0.255522\pi\) | ||||
−0.694734 | + | 0.719266i | \(0.744478\pi\) | |||||||
\(312\) | −9.10016 | − | 6.96654i | −0.515195 | − | 0.394403i | ||||
\(313\) | 17.3199 | − | 17.3199i | 0.978979 | − | 0.978979i | −0.0208044 | − | 0.999784i | \(-0.506623\pi\) |
0.999784 | + | 0.0208044i | \(0.00662271\pi\) | |||||||
\(314\) | 24.6011 | 1.38832 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.37757 | 0.0774942 | ||||||||
\(317\) | −8.52170 | + | 8.52170i | −0.478626 | + | 0.478626i | −0.904692 | − | 0.426066i | \(-0.859899\pi\) |
0.426066 | + | 0.904692i | \(0.359899\pi\) | |||||||
\(318\) | 3.47977 | + | 2.66390i | 0.195136 | + | 0.149384i | ||||
\(319\) | 2.00411i | 0.112208i | ||||||||
\(320\) | 17.6313 | + | 8.60020i | 0.985620 | + | 0.480766i | ||||
\(321\) | 3.03512 | − | 0.403056i | 0.169404 | − | 0.0224964i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.52225 | − | 3.52225i | −0.195983 | − | 0.195983i | ||||
\(324\) | −1.23650 | − | 2.11960i | −0.0686945 | − | 0.117755i | ||||
\(325\) | −10.9936 | − | 1.35070i | −0.609816 | − | 0.0749232i | ||||
\(326\) | 17.1208i | 0.948234i | ||||||||
\(327\) | 5.66033 | − | 7.39389i | 0.313017 | − | 0.408883i | ||||
\(328\) | −0.651508 | + | 0.651508i | −0.0359735 | + | 0.0359735i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 18.8592 | + | 6.28741i | 1.03816 | + | 0.346111i | ||||
\(331\) | −9.74810 | −0.535804 | −0.267902 | − | 0.963446i | \(-0.586330\pi\) | ||||
−0.267902 | + | 0.963446i | \(0.586330\pi\) | |||||||
\(332\) | −2.49776 | + | 2.49776i | −0.137083 | + | 0.137083i | ||||
\(333\) | −10.2201 | + | 17.7940i | −0.560056 | + | 0.975107i | ||||
\(334\) | − | 4.54284i | − | 0.248573i | ||||||
\(335\) | 19.1424 | − | 6.59044i | 1.04586 | − | 0.360074i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.5951 | + | 10.5951i | 0.577152 | + | 0.577152i | 0.934117 | − | 0.356966i | \(-0.116189\pi\) |
−0.356966 | + | 0.934117i | \(0.616189\pi\) | |||||||
\(338\) | 7.52081 | + | 7.52081i | 0.409078 | + | 0.409078i | ||||
\(339\) | −2.52566 | − | 19.0189i | −0.137175 | − | 1.03296i | ||||
\(340\) | 1.54366 | − | 0.531460i | 0.0837169 | − | 0.0288225i | ||||
\(341\) | 33.5198i | 1.81520i | ||||||||
\(342\) | 3.65293 | − | 6.36007i | 0.197528 | − | 0.343913i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 32.1411 | 1.73293 | ||||||||
\(345\) | 9.06500 | + | 3.02215i | 0.488043 | + | 0.162707i | ||||
\(346\) | −12.5576 | −0.675101 | ||||||||
\(347\) | −15.2587 | + | 15.2587i | −0.819131 | + | 0.819131i | −0.985982 | − | 0.166851i | \(-0.946640\pi\) |
0.166851 | + | 0.985982i | \(0.446640\pi\) | |||||||
\(348\) | −0.147310 | + | 0.192425i | −0.00789662 | + | 0.0103151i | ||||
\(349\) | 28.5116i | 1.52619i | 0.646287 | + | 0.763094i | \(0.276321\pi\) | ||||
−0.646287 | + | 0.763094i | \(0.723679\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.44087 | − | 10.6197i | −0.237036 | − | 0.566836i | ||||
\(352\) | 4.22825 | + | 4.22825i | 0.225366 | + | 0.225366i | ||||
\(353\) | 8.68684 | + | 8.68684i | 0.462354 | + | 0.462354i | 0.899426 | − | 0.437072i | \(-0.143985\pi\) |
−0.437072 | + | 0.899426i | \(0.643985\pi\) | |||||||
\(354\) | 1.16943 | − | 0.155298i | 0.0621547 | − | 0.00825398i | ||||
\(355\) | −30.8994 | − | 15.0721i | −1.63997 | − | 0.799944i | ||||
\(356\) | 3.09474i | 0.164021i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.0188 | + | 10.0188i | −0.529512 | + | 0.529512i | ||||
\(359\) | −4.81570 | −0.254163 | −0.127081 | − | 0.991892i | \(-0.540561\pi\) | ||||
−0.127081 | + | 0.991892i | \(0.540561\pi\) | |||||||
\(360\) | 11.2412 | + | 16.5865i | 0.592462 | + | 0.874184i | ||||
\(361\) | 15.5397 | 0.817878 | ||||||||
\(362\) | 2.66385 | − | 2.66385i | 0.140009 | − | 0.140009i | ||||
\(363\) | 5.84885 | + | 4.47753i | 0.306985 | + | 0.235010i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.10908 | − | 6.12598i | −0.110394 | − | 0.320648i | ||||
\(366\) | 11.5290 | − | 1.53102i | 0.602630 | − | 0.0800277i | ||||
\(367\) | −10.1328 | − | 10.1328i | −0.528930 | − | 0.528930i | 0.391323 | − | 0.920253i | \(-0.372017\pi\) |
−0.920253 | + | 0.391323i | \(0.872017\pi\) | |||||||
\(368\) | −5.89731 | − | 5.89731i | −0.307419 | − | 0.307419i | ||||
\(369\) | −0.893334 | + | 0.241524i | −0.0465051 | + | 0.0125732i | ||||
\(370\) | 8.81272 | − | 18.0670i | 0.458151 | − | 0.939259i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −2.46384 | + | 3.21842i | −0.127744 | + | 0.166868i | ||||
\(373\) | −0.824685 | + | 0.824685i | −0.0427006 | + | 0.0427006i | −0.728135 | − | 0.685434i | \(-0.759612\pi\) |
0.685434 | + | 0.728135i | \(0.259612\pi\) | |||||||
\(374\) | −13.7449 | −0.710731 | ||||||||
\(375\) | 17.4869 | + | 8.31914i | 0.903020 | + | 0.429599i | ||||
\(376\) | −15.8014 | −0.814894 | ||||||||
\(377\) | −0.803814 | + | 0.803814i | −0.0413985 | + | 0.0413985i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 24.8744i | − | 1.27771i | −0.769326 | − | 0.638856i | \(-0.779408\pi\) | ||
0.769326 | − | 0.638856i | \(-0.220592\pi\) | |||||||
\(380\) | 0.497202 | − | 1.01932i | 0.0255059 | − | 0.0522898i | ||||
\(381\) | −2.61960 | − | 19.7263i | −0.134206 | − | 1.01061i | ||||
\(382\) | −13.0167 | − | 13.0167i | −0.665995 | − | 0.665995i | ||||
\(383\) | −1.25751 | − | 1.25751i | −0.0642557 | − | 0.0642557i | 0.674249 | − | 0.738504i | \(-0.264468\pi\) |
−0.738504 | + | 0.674249i | \(0.764468\pi\) | |||||||
\(384\) | −1.93079 | − | 14.5394i | −0.0985304 | − | 0.741961i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 12.4981i | 0.636137i | ||||||||
\(387\) | 27.9932 | + | 16.0780i | 1.42297 | + | 0.817291i | ||||
\(388\) | −1.85941 | + | 1.85941i | −0.0943973 | + | 0.0943973i | ||||
\(389\) | 25.8311 | 1.30969 | 0.654843 | − | 0.755765i | \(-0.272735\pi\) | ||||
0.654843 | + | 0.755765i | \(0.272735\pi\) | |||||||
\(390\) | 5.04234 | + | 10.0859i | 0.255329 | + | 0.510719i | ||||
\(391\) | −6.60672 | −0.334116 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.62804 | + | 6.04545i | −0.233454 | + | 0.304953i | ||||
\(394\) | 9.83625i | 0.495543i | ||||||||
\(395\) | −10.1540 | − | 4.95290i | −0.510901 | − | 0.249207i | ||||
\(396\) | 0.833751 | + | 3.08383i | 0.0418976 | + | 0.154968i | ||||
\(397\) | 16.8078 | + | 16.8078i | 0.843557 | + | 0.843557i | 0.989320 | − | 0.145763i | \(-0.0465636\pi\) |
−0.145763 | + | 0.989320i | \(0.546564\pi\) | |||||||
\(398\) | 9.59353 | + | 9.59353i | 0.480880 | + | 0.480880i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.4047 | − | 13.3195i | −0.520237 | − | 0.665977i | ||||
\(401\) | 8.01577i | 0.400289i | 0.979766 | + | 0.200144i | \(0.0641411\pi\) | ||||
−0.979766 | + | 0.200144i | \(0.935859\pi\) | |||||||
\(402\) | −16.3654 | − | 12.5284i | −0.816232 | − | 0.624859i | ||||
\(403\) | −13.4442 | + | 13.4442i | −0.669706 | + | 0.669706i | ||||
\(404\) | −1.24641 | −0.0620112 | ||||||||
\(405\) | 1.49339 | + | 20.0691i | 0.0742073 | + | 0.997243i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 18.8894 | − | 18.8894i | 0.936313 | − | 0.936313i | ||||
\(408\) | −11.0003 | − | 8.42115i | −0.544594 | − | 0.416909i | ||||
\(409\) | − | 15.1177i | − | 0.747521i | −0.927525 | − | 0.373761i | \(-0.878068\pi\) | ||
0.927525 | − | 0.373761i | \(-0.121932\pi\) | |||||||
\(410\) | 0.857161 | − | 0.295107i | 0.0423321 | − | 0.0145743i | ||||
\(411\) | −11.4240 | + | 1.51708i | −0.563504 | + | 0.0748319i | ||||
\(412\) | −1.95475 | − | 1.95475i | −0.0963036 | − | 0.0963036i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −2.53890 | − | 9.39073i | −0.124780 | − | 0.461529i | ||||
\(415\) | 27.3913 | − | 9.43042i | 1.34459 | − | 0.462921i | ||||
\(416\) | 3.39176i | 0.166295i | ||||||||
\(417\) | 12.9980 | − | 16.9789i | 0.636516 | − | 0.831459i | ||||
\(418\) | −6.75159 | + | 6.75159i | −0.330231 | + | 0.330231i | ||||
\(419\) | −26.4645 | −1.29287 | −0.646437 | − | 0.762967i | \(-0.723742\pi\) | ||||
−0.646437 | + | 0.762967i | \(0.723742\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.4834 | −0.510929 | −0.255464 | − | 0.966818i | \(-0.582228\pi\) | ||||
−0.255464 | + | 0.966818i | \(0.582228\pi\) | |||||||
\(422\) | −4.03891 | + | 4.03891i | −0.196611 | + | 0.196611i | ||||
\(423\) | −13.7622 | − | 7.90435i | −0.669139 | − | 0.384323i | ||||
\(424\) | − | 5.75019i | − | 0.279254i | ||||||
\(425\) | −13.2891 | − | 1.63272i | −0.644615 | − | 0.0791986i | ||||
\(426\) | 4.60740 | + | 34.6950i | 0.223229 | + | 1.68098i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.340809 | − | 0.340809i | −0.0164736 | − | 0.0164736i | ||||
\(429\) | 1.97266 | + | 14.8547i | 0.0952408 | + | 0.717190i | ||||
\(430\) | −28.4227 | − | 13.8640i | −1.37066 | − | 0.668581i | ||||
\(431\) | − | 5.72268i | − | 0.275652i | −0.990456 | − | 0.137826i | \(-0.955989\pi\) | ||
0.990456 | − | 0.137826i | \(-0.0440114\pi\) | |||||||
\(432\) | 6.66695 | − | 16.2504i | 0.320764 | − | 0.781846i | ||||
\(433\) | 0.977454 | − | 0.977454i | 0.0469735 | − | 0.0469735i | −0.683230 | − | 0.730203i | \(-0.739425\pi\) |
0.730203 | + | 0.683230i | \(0.239425\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.77766 | − | 0.888721i | 0.0852321 | − | 0.0426109i | ||||
\(436\) | −1.46584 | −0.0702008 | ||||||||
\(437\) | −3.24527 | + | 3.24527i | −0.155242 | + | 0.155242i | ||||
\(438\) | −4.00935 | + | 5.23728i | −0.191574 | + | 0.250247i | ||||
\(439\) | − | 5.67940i | − | 0.271063i | −0.990773 | − | 0.135531i | \(-0.956726\pi\) | ||
0.990773 | − | 0.135531i | \(-0.0432742\pi\) | |||||||
\(440\) | −8.49133 | − | 24.6637i | −0.404808 | − | 1.17579i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.51285 | − | 5.51285i | −0.262220 | − | 0.262220i | ||||
\(443\) | 15.9884 | + | 15.9884i | 0.759634 | + | 0.759634i | 0.976256 | − | 0.216622i | \(-0.0695038\pi\) |
−0.216622 | + | 0.976256i | \(0.569504\pi\) | |||||||
\(444\) | 3.20212 | − | 0.425234i | 0.151966 | − | 0.0201807i | ||||
\(445\) | 11.1268 | − | 22.8112i | 0.527462 | − | 1.08135i | ||||
\(446\) | − | 21.4805i | − | 1.01713i | ||||||
\(447\) | −13.5230 | − | 10.3524i | −0.639614 | − | 0.489651i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −32.0075 | −1.51053 | −0.755264 | − | 0.655420i | \(-0.772491\pi\) | ||||
−0.755264 | + | 0.655420i | \(0.772491\pi\) | |||||||
\(450\) | −2.78613 | − | 19.5164i | −0.131340 | − | 0.920012i | ||||
\(451\) | 1.20472 | 0.0567280 | ||||||||
\(452\) | −2.13560 | + | 2.13560i | −0.100450 | + | 0.100450i | ||||
\(453\) | −1.55555 | − | 1.19084i | −0.0730862 | − | 0.0559505i | ||||
\(454\) | − | 18.7024i | − | 0.877749i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −9.53993 | + | 1.26688i | −0.446748 | + | 0.0593270i | ||||
\(457\) | −4.67001 | − | 4.67001i | −0.218454 | − | 0.218454i | 0.589393 | − | 0.807847i | \(-0.299367\pi\) |
−0.807847 | + | 0.589393i | \(0.799367\pi\) | |||||||
\(458\) | 16.7110 | + | 16.7110i | 0.780855 | + | 0.780855i | ||||
\(459\) | −5.36811 | − | 12.8370i | −0.250562 | − | 0.599182i | ||||
\(460\) | −0.489667 | − | 1.42227i | −0.0228308 | − | 0.0663138i | ||||
\(461\) | − | 28.3844i | − | 1.32199i | −0.750389 | − | 0.660996i | \(-0.770134\pi\) | ||
0.750389 | − | 0.660996i | \(-0.229866\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.86974 | + | 3.86974i | −0.179842 | + | 0.179842i | −0.791287 | − | 0.611445i | \(-0.790589\pi\) |
0.611445 | + | 0.791287i | \(0.290589\pi\) | |||||||
\(464\) | −1.73463 | −0.0805284 | ||||||||
\(465\) | 29.7323 | − | 14.8644i | 1.37880 | − | 0.689318i | ||||
\(466\) | −15.2081 | −0.704504 | ||||||||
\(467\) | −5.83013 | + | 5.83013i | −0.269786 | + | 0.269786i | −0.829014 | − | 0.559228i | \(-0.811098\pi\) |
0.559228 | + | 0.829014i | \(0.311098\pi\) | |||||||
\(468\) | −0.902469 | + | 1.57128i | −0.0417167 | + | 0.0726323i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 13.9733 | + | 6.81589i | 0.644540 | + | 0.314393i | ||||
\(471\) | −4.26794 | − | 32.1387i | −0.196656 | − | 1.48087i | ||||
\(472\) | −1.09453 | − | 1.09453i | −0.0503800 | − | 0.0503800i | ||||
\(473\) | −29.7165 | − | 29.7165i | −1.36636 | − | 1.36636i | ||||
\(474\) | 1.51406 | + | 11.4013i | 0.0695429 | + | 0.523677i | ||||
\(475\) | −7.32969 | + | 5.72568i | −0.336309 | + | 0.262712i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.87642 | − | 5.00811i | 0.131702 | − | 0.229305i | ||||
\(478\) | −22.3521 | + | 22.3521i | −1.02236 | + | 1.02236i | ||||
\(479\) | 21.7317 | 0.992946 | 0.496473 | − | 0.868052i | \(-0.334628\pi\) | ||||
0.496473 | + | 0.868052i | \(0.334628\pi\) | |||||||
\(480\) | 1.87547 | − | 5.62550i | 0.0856031 | − | 0.256768i | ||||
\(481\) | 15.1525 | 0.690893 | ||||||||
\(482\) | −1.31462 | + | 1.31462i | −0.0598792 | + | 0.0598792i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 1.15953i | − | 0.0527060i | ||||||
\(485\) | 20.3909 | − | 7.02029i | 0.925905 | − | 0.318775i | ||||
\(486\) | 16.1835 | − | 12.5633i | 0.734100 | − | 0.569885i | ||||
\(487\) | 6.39869 | + | 6.39869i | 0.289952 | + | 0.289952i | 0.837061 | − | 0.547109i | \(-0.184272\pi\) |
−0.547109 | + | 0.837061i | \(0.684272\pi\) | |||||||
\(488\) | −10.7906 | − | 10.7906i | −0.488467 | − | 0.488467i | ||||
\(489\) | 22.3666 | − | 2.97022i | 1.01145 | − | 0.134318i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 28.9156i | 1.30494i | 0.757814 | + | 0.652471i | \(0.226268\pi\) | ||||
−0.757814 | + | 0.652471i | \(0.773732\pi\) | |||||||
\(492\) | 0.115672 | + | 0.0885516i | 0.00521489 | + | 0.00399221i | ||||
\(493\) | −0.971649 | + | 0.971649i | −0.0437609 | + | 0.0437609i | ||||
\(494\) | −5.41591 | −0.243673 | ||||||||
\(495\) | 4.94205 | − | 25.7284i | 0.222129 | − | 1.15640i | ||||
\(496\) | −29.0127 | −1.30271 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −23.4177 | − | 17.9272i | −1.04937 | − | 0.803336i | ||||
\(499\) | − | 32.2531i | − | 1.44385i | −0.691973 | − | 0.721924i | \(-0.743258\pi\) | ||
0.691973 | − | 0.721924i | \(-0.256742\pi\) | |||||||
\(500\) | −0.633453 | − | 2.98184i | −0.0283289 | − | 0.133352i | ||||
\(501\) | −5.93475 | + | 0.788119i | −0.265145 | + | 0.0352106i | ||||
\(502\) | 10.1197 | + | 10.1197i | 0.451666 | + | 0.451666i | ||||
\(503\) | −7.21038 | − | 7.21038i | −0.321495 | − | 0.321495i | 0.527845 | − | 0.849340i | \(-0.323000\pi\) |
−0.849340 | + | 0.527845i | \(0.823000\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.18722 | + | 4.48134i | 0.408826 | + | 0.199417i | ||||
\(506\) | 12.6640i | 0.562984i | ||||||||
\(507\) | 8.52040 | − | 11.1299i | 0.378404 | − | 0.494297i | ||||
\(508\) | −2.21503 | + | 2.21503i | −0.0982763 | + | 0.0982763i | ||||
\(509\) | 23.8747 | 1.05823 | 0.529113 | − | 0.848551i | \(-0.322525\pi\) | ||||
0.529113 | + | 0.848551i | \(0.322525\pi\) | |||||||
\(510\) | 6.09517 | + | 12.1918i | 0.269899 | + | 0.539863i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −17.9388 | + | 17.9388i | −0.792789 | + | 0.792789i | ||||
\(513\) | −8.94250 | − | 3.66879i | −0.394821 | − | 0.161981i | ||||
\(514\) | 26.0974i | 1.15111i | ||||||||
\(515\) | 7.38025 | + | 21.4364i | 0.325213 | + | 0.944603i | ||||
\(516\) | −0.668969 | − | 5.03752i | −0.0294497 | − | 0.221764i | ||||
\(517\) | 14.6093 | + | 14.6093i | 0.642518 | + | 0.642518i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.17857 | + | 16.4052i | 0.0956285 | + | 0.720109i | ||||
\(520\) | 6.48647 | − | 13.2979i | 0.284450 | − | 0.583153i | ||||
\(521\) | − | 21.1485i | − | 0.926533i | −0.886219 | − | 0.463267i | \(-0.846677\pi\) | ||
0.886219 | − | 0.463267i | \(-0.153323\pi\) | |||||||
\(522\) | −1.75449 | − | 1.00770i | −0.0767919 | − | 0.0441057i | ||||
\(523\) | 11.7408 | − | 11.7408i | 0.513391 | − | 0.513391i | −0.402173 | − | 0.915564i | \(-0.631745\pi\) |
0.915564 | + | 0.402173i | \(0.131745\pi\) | |||||||
\(524\) | 1.19851 | 0.0523571 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 34.4614 | 1.50259 | ||||||||
\(527\) | −16.2514 | + | 16.2514i | −0.707921 | + | 0.707921i | ||||
\(528\) | −13.8997 | + | 18.1567i | −0.604907 | + | 0.790169i | ||||
\(529\) | − | 16.9128i | − | 0.735340i | ||||||
\(530\) | −2.48033 | + | 5.08493i | −0.107739 | + | 0.220875i | ||||
\(531\) | −0.405761 | − | 1.50080i | −0.0176085 | − | 0.0651293i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.483193 | + | 0.483193i | 0.0209294 | + | 0.0209294i | ||||
\(534\) | −25.6133 | + | 3.40137i | −1.10839 | + | 0.147192i | ||||
\(535\) | 1.28674 | + | 3.73742i | 0.0556305 | + | 0.161583i | ||||
\(536\) | 27.0432i | 1.16809i | ||||||||
\(537\) | 14.8267 | + | 11.3505i | 0.639820 | + | 0.489808i | ||||
\(538\) | 0.448074 | − | 0.448074i | 0.0193178 | − | 0.0193178i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.36565 | − | 2.10707i | 0.101801 | − | 0.0906737i | ||||
\(541\) | 40.5929 | 1.74523 | 0.872613 | − | 0.488412i | \(-0.162424\pi\) | ||||
0.872613 | + | 0.488412i | \(0.162424\pi\) | |||||||
\(542\) | −5.51253 | + | 5.51253i | −0.236783 | + | 0.236783i | ||||
\(543\) | −3.94219 | − | 3.01791i | −0.169175 | − | 0.129511i | ||||
\(544\) | 4.09996i | 0.175784i | ||||||||
\(545\) | 10.8046 | + | 5.27026i | 0.462818 | + | 0.225753i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.28811 | − | 7.28811i | −0.311617 | − | 0.311617i | 0.533919 | − | 0.845536i | \(-0.320719\pi\) |
−0.845536 | + | 0.533919i | \(0.820719\pi\) | |||||||
\(548\) | 1.28278 | + | 1.28278i | 0.0547977 | + | 0.0547977i | ||||
\(549\) | −4.00024 | − | 14.7958i | −0.170726 | − | 0.631471i | ||||
\(550\) | −3.12966 | + | 25.4730i | −0.133449 | + | 1.08617i | ||||
\(551\) | 0.954562i | 0.0406657i | ||||||||
\(552\) | −7.75892 | + | 10.1352i | −0.330241 | + | 0.431383i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −17.8219 | −0.757181 | ||||||||
\(555\) | −25.1316 | − | 8.37854i | −1.06678 | − | 0.355649i | ||||
\(556\) | −3.36605 | −0.142752 | ||||||||
\(557\) | 23.2752 | − | 23.2752i | 0.986201 | − | 0.986201i | −0.0137054 | − | 0.999906i | \(-0.504363\pi\) |
0.999906 | + | 0.0137054i | \(0.00436269\pi\) | |||||||
\(558\) | −29.3448 | − | 16.8543i | −1.24227 | − | 0.713500i | ||||
\(559\) | − | 23.8376i | − | 1.00822i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.38455 | + | 17.9563i | 0.100676 | + | 0.758115i | ||||
\(562\) | −11.3713 | − | 11.3713i | −0.479669 | − | 0.479669i | ||||
\(563\) | 9.97289 | + | 9.97289i | 0.420307 | + | 0.420307i | 0.885309 | − | 0.465002i | \(-0.153946\pi\) |
−0.465002 | + | 0.885309i | \(0.653946\pi\) | |||||||
\(564\) | 0.328882 | + | 2.47657i | 0.0138484 | + | 0.104282i | ||||
\(565\) | 23.4197 | − | 8.06305i | 0.985274 | − | 0.339215i | ||||
\(566\) | − | 26.9001i | − | 1.13069i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 32.4729 | − | 32.4729i | 1.36253 | − | 1.36253i | ||||
\(569\) | −45.4260 | −1.90436 | −0.952178 | − | 0.305543i | \(-0.901162\pi\) | ||||
−0.952178 | + | 0.305543i | \(0.901162\pi\) | |||||||
\(570\) | 8.98270 | + | 2.99472i | 0.376244 | + | 0.125435i | ||||
\(571\) | 22.0102 | 0.921097 | 0.460548 | − | 0.887635i | \(-0.347653\pi\) | ||||
0.460548 | + | 0.887635i | \(0.347653\pi\) | |||||||
\(572\) | 1.66800 | − | 1.66800i | 0.0697428 | − | 0.0697428i | ||||
\(573\) | −14.7468 | + | 19.2633i | −0.616057 | + | 0.804734i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.50433 | + | 12.2440i | −0.0627347 | + | 0.510612i | ||||
\(576\) | −25.4068 | + | 6.86904i | −1.05862 | + | 0.286210i | ||||
\(577\) | 28.0618 | + | 28.0618i | 1.16823 | + | 1.16823i | 0.982625 | + | 0.185602i | \(0.0594236\pi\) |
0.185602 | + | 0.982625i | \(0.440576\pi\) | |||||||
\(578\) | 9.13485 | + | 9.13485i | 0.379959 | + | 0.379959i | ||||
\(579\) | 16.3275 | − | 2.16825i | 0.678547 | − | 0.0901093i | ||||
\(580\) | −0.281189 | − | 0.137158i | −0.0116757 | − | 0.00569518i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −17.4328 | − | 13.3455i | −0.722614 | − | 0.553191i | ||||
\(583\) | −5.31640 | + | 5.31640i | −0.220183 | + | 0.220183i | ||||
\(584\) | 8.65442 | 0.358122 | ||||||||
\(585\) | 12.3014 | − | 8.33706i | 0.508601 | − | 0.344695i | ||||
\(586\) | −34.0143 | −1.40512 | ||||||||
\(587\) | 2.66817 | − | 2.66817i | 0.110127 | − | 0.110127i | −0.649896 | − | 0.760023i | \(-0.725188\pi\) |
0.760023 | + | 0.649896i | \(0.225188\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.9656i | 0.657851i | ||||||||
\(590\) | 0.495781 | + | 1.44003i | 0.0204110 | + | 0.0592851i | ||||
\(591\) | 12.8500 | − | 1.70645i | 0.528580 | − | 0.0701940i | ||||
\(592\) | 16.3496 | + | 16.3496i | 0.671963 | + | 0.671963i | ||||
\(593\) | −8.53960 | − | 8.53960i | −0.350679 | − | 0.350679i | 0.509683 | − | 0.860362i | \(-0.329763\pi\) |
−0.860362 | + | 0.509683i | \(0.829763\pi\) | |||||||
\(594\) | −24.6065 | + | 10.2898i | −1.00962 | + | 0.422196i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.68092i | 0.109815i | ||||||||
\(597\) | 10.8686 | − | 14.1973i | 0.444823 | − | 0.581057i | ||||
\(598\) | −5.07933 | + | 5.07933i | −0.207709 | + | 0.207709i | ||||
\(599\) | −32.7277 | −1.33722 | −0.668610 | − | 0.743614i | \(-0.733110\pi\) | ||||
−0.668610 | + | 0.743614i | \(0.733110\pi\) | |||||||
\(600\) | −18.1114 | + | 18.4690i | −0.739394 | + | 0.753993i | ||||
\(601\) | 46.3697 | 1.89146 | 0.945729 | − | 0.324956i | \(-0.105349\pi\) | ||||
0.945729 | + | 0.324956i | \(0.105349\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −13.5279 | + | 23.5532i | −0.550898 | + | 0.959161i | ||||
\(604\) | 0.308388i | 0.0125481i | ||||||||
\(605\) | −4.16898 | + | 8.54684i | −0.169493 | + | 0.347479i | ||||
\(606\) | −1.36990 | − | 10.3158i | −0.0556486 | − | 0.419049i | ||||
\(607\) | −11.4745 | − | 11.4745i | −0.465736 | − | 0.465736i | 0.434794 | − | 0.900530i | \(-0.356821\pi\) |
−0.900530 | + | 0.434794i | \(0.856821\pi\) | |||||||
\(608\) | 2.01393 | + | 2.01393i | 0.0816756 | + | 0.0816756i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.88771 | + | 14.1967i | 0.197898 | + | 0.574808i | ||||
\(611\) | 11.7191i | 0.474106i | ||||||||
\(612\) | −1.09090 | + | 1.89936i | −0.0440971 | + | 0.0767770i | ||||
\(613\) | 9.74729 | − | 9.74729i | 0.393689 | − | 0.393689i | −0.482311 | − | 0.876000i | \(-0.660202\pi\) |
0.876000 | + | 0.482311i | \(0.160202\pi\) | |||||||
\(614\) | −35.8539 | −1.44695 | ||||||||
\(615\) | −0.534233 | − | 1.06859i | −0.0215423 | − | 0.0430899i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 10.5782 | − | 10.5782i | 0.425862 | − | 0.425862i | −0.461354 | − | 0.887216i | \(-0.652636\pi\) |
0.887216 | + | 0.461354i | \(0.152636\pi\) | |||||||
\(618\) | 14.0298 | − | 18.3267i | 0.564362 | − | 0.737206i | ||||
\(619\) | 28.9289i | 1.16275i | 0.813636 | + | 0.581375i | \(0.197485\pi\) | ||||
−0.813636 | + | 0.581375i | \(0.802515\pi\) | |||||||
\(620\) | −4.70304 | − | 2.29405i | −0.188879 | − | 0.0921312i | ||||
\(621\) | −11.8276 | + | 4.94597i | −0.474623 | + | 0.198475i | ||||
\(622\) | 23.5762 | + | 23.5762i | 0.945321 | + | 0.945321i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −12.8573 | + | 1.70742i | −0.514704 | + | 0.0683514i | ||||
\(625\) | −6.05175 | + | 24.2565i | −0.242070 | + | 0.970259i | ||||
\(626\) | − | 32.1922i | − | 1.28666i | ||||||
\(627\) | 9.99156 | + | 7.64895i | 0.399024 | + | 0.305470i | ||||
\(628\) | −3.60880 | + | 3.60880i | −0.144007 | + | 0.144007i | ||||
\(629\) | 18.3163 | 0.730318 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.13783 | −0.164724 | −0.0823622 | − | 0.996602i | \(-0.526246\pi\) | ||||
−0.0823622 | + | 0.996602i | \(0.526246\pi\) | |||||||
\(632\) | 10.6710 | − | 10.6710i | 0.424471 | − | 0.424471i | ||||
\(633\) | 5.97712 | + | 4.57573i | 0.237569 | + | 0.181869i | ||||
\(634\) | 15.8391i | 0.629051i | ||||||||
\(635\) | 24.2908 | − | 8.36296i | 0.963952 | − | 0.331874i | ||||
\(636\) | −0.901234 | + | 0.119681i | −0.0357362 | + | 0.00474568i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 1.86249 | + | 1.86249i | 0.0737369 | + | 0.0737369i | ||||
\(639\) | 44.5261 | − | 12.0382i | 1.76143 | − | 0.476223i | ||||
\(640\) | 17.9037 | − | 6.16397i | 0.707706 | − | 0.243652i | ||||
\(641\) | 0.616587i | 0.0243537i | 0.999926 | + | 0.0121769i | \(0.00387611\pi\) | ||||
−0.999926 | + | 0.0121769i | \(0.996124\pi\) | |||||||
\(642\) | 2.44608 | − | 3.19523i | 0.0965392 | − | 0.126106i | ||||
\(643\) | 12.1411 | − | 12.1411i | 0.478799 | − | 0.478799i | −0.425949 | − | 0.904747i | \(-0.640060\pi\) |
0.904747 | + | 0.425949i | \(0.140060\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −13.1809 | + | 39.5365i | −0.518999 | + | 1.55675i | ||||
\(646\) | −6.54674 | −0.257578 | ||||||||
\(647\) | −20.6057 | + | 20.6057i | −0.810094 | + | 0.810094i | −0.984648 | − | 0.174553i | \(-0.944152\pi\) |
0.174553 | + | 0.984648i | \(0.444152\pi\) | |||||||
\(648\) | −25.9973 | − | 6.84071i | −1.02127 | − | 0.268728i | ||||
\(649\) | 2.02393i | 0.0794462i | ||||||||
\(650\) | −11.4721 | + | 8.96155i | −0.449971 | + | 0.351501i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.51151 | − | 2.51151i | −0.0983581 | − | 0.0983581i | ||||
\(653\) | −10.6984 | − | 10.6984i | −0.418660 | − | 0.418660i | 0.466082 | − | 0.884742i | \(-0.345665\pi\) |
−0.884742 | + | 0.466082i | \(0.845665\pi\) | |||||||
\(654\) | −1.61107 | − | 12.1318i | −0.0629979 | − | 0.474391i | ||||
\(655\) | −8.83413 | − | 4.30911i | −0.345178 | − | 0.168371i | ||||
\(656\) | 1.04273i | 0.0407119i | ||||||||
\(657\) | 7.53753 | + | 4.32921i | 0.294067 | + | 0.168899i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.05597 | 0.235907 | 0.117954 | − | 0.993019i | \(-0.462367\pi\) | ||||
0.117954 | + | 0.993019i | \(0.462367\pi\) | |||||||
\(660\) | −3.68883 | + | 1.84419i | −0.143588 | + | 0.0717852i | ||||
\(661\) | −21.5585 | −0.838529 | −0.419264 | − | 0.907864i | \(-0.637712\pi\) | ||||
−0.419264 | + | 0.907864i | \(0.637712\pi\) | |||||||
\(662\) | −9.05929 | + | 9.05929i | −0.352099 | + | 0.352099i | ||||
\(663\) | −6.24557 | + | 8.15838i | −0.242558 | + | 0.316845i | ||||
\(664\) | 38.6968i | 1.50173i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 7.03878 | + | 26.0346i | 0.272747 | + | 1.00882i | ||||
\(667\) | 0.895240 | + | 0.895240i | 0.0346638 | + | 0.0346638i | ||||
\(668\) | 0.666404 | + | 0.666404i | 0.0257839 | + | 0.0257839i | ||||
\(669\) | −28.0620 | + | 3.72656i | −1.08494 | + | 0.144077i | ||||
\(670\) | 11.6650 | − | 23.9145i | 0.450660 | − | 0.923900i | ||||
\(671\) | 19.9531i | 0.770282i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.8200 | − | 14.8200i | 0.571271 | − | 0.571271i | −0.361213 | − | 0.932483i | \(-0.617637\pi\) |
0.932483 | + | 0.361213i | \(0.117637\pi\) | |||||||
\(674\) | 19.6929 | 0.758542 | ||||||||
\(675\) | −25.0128 | + | 7.02562i | −0.962744 | + | 0.270416i | ||||
\(676\) | −2.20650 | −0.0848654 | ||||||||
\(677\) | 0.150664 | − | 0.150664i | 0.00579050 | − | 0.00579050i | −0.704206 | − | 0.709996i | \(-0.748697\pi\) |
0.709996 | + | 0.704206i | \(0.248697\pi\) | |||||||
\(678\) | −20.0222 | − | 15.3278i | −0.768948 | − | 0.588661i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 7.84083 | − | 16.0745i | 0.300682 | − | 0.616430i | ||||
\(681\) | −24.4328 | + | 3.24461i | −0.936267 | + | 0.124334i | ||||
\(682\) | 31.1513 | + | 31.1513i | 1.19284 | + | 1.19284i | ||||
\(683\) | 27.2871 | + | 27.2871i | 1.04411 | + | 1.04411i | 0.998981 | + | 0.0451289i | \(0.0143699\pi\) |
0.0451289 | + | 0.998981i | \(0.485630\pi\) | |||||||
\(684\) | 0.397118 | + | 1.46884i | 0.0151842 | + | 0.0561624i | ||||
\(685\) | −4.84320 | − | 14.0674i | −0.185049 | − | 0.537488i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 18.9321 | − | 24.7304i | 0.722305 | − | 0.943522i | ||||
\(688\) | 25.7208 | − | 25.7208i | 0.980596 | − | 0.980596i | ||||
\(689\) | −4.26465 | −0.162470 | ||||||||
\(690\) | 11.2331 | − | 5.61586i | 0.427636 | − | 0.213792i | ||||
\(691\) | 21.5273 | 0.818937 | 0.409469 | − | 0.912324i | \(-0.365714\pi\) | ||||
0.409469 | + | 0.912324i | \(0.365714\pi\) | |||||||
\(692\) | 1.84211 | − | 1.84211i | 0.0700266 | − | 0.0700266i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 28.3611i | 1.07657i | ||||||||
\(695\) | 24.8110 | + | 12.1023i | 0.941134 | + | 0.459066i | ||||
\(696\) | 0.349481 | + | 2.63169i | 0.0132470 | + | 0.0997538i | ||||
\(697\) | 0.584083 | + | 0.584083i | 0.0221237 | + | 0.0221237i | ||||
\(698\) | 26.4969 | + | 26.4969i | 1.00292 | + | 1.00292i | ||||
\(699\) | 2.63840 | + | 19.8679i | 0.0997934 | + | 0.751472i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 5.55742i | − | 0.209901i | −0.994477 | − | 0.104951i | \(-0.966532\pi\) | ||
0.994477 | − | 0.104951i | \(-0.0334684\pi\) | |||||||
\(702\) | −13.9964 | − | 5.74221i | −0.528259 | − | 0.216726i | ||||
\(703\) | 8.99709 | − | 8.99709i | 0.339332 | − | 0.339332i | ||||
\(704\) | 34.2627 | 1.29132 | ||||||||
\(705\) | 6.48008 | − | 19.4371i | 0.244054 | − | 0.732044i | ||||
\(706\) | 16.1461 | 0.607665 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −0.148767 | + | 0.194329i | −0.00559100 | + | 0.00730333i | ||||
\(709\) | − | 38.9725i | − | 1.46364i | −0.681496 | − | 0.731822i | \(-0.738670\pi\) | ||
0.681496 | − | 0.731822i | \(-0.261330\pi\) | |||||||
\(710\) | −42.7231 | + | 14.7089i | −1.60337 | + | 0.552016i | ||||
\(711\) | 14.6319 | − | 3.95592i | 0.548739 | − | 0.148358i | ||||
\(712\) | 23.9728 | + | 23.9728i | 0.898419 | + | 0.898419i | ||||
\(713\) | 14.9734 | + | 14.9734i | 0.560758 | + | 0.560758i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −18.2919 | + | 6.29763i | −0.684078 | + | 0.235518i | ||||
\(716\) | − | 2.93939i | − | 0.109850i | ||||||
\(717\) | 33.0785 | + | 25.3230i | 1.23534 | + | 0.945704i | ||||
\(718\) | −4.47542 | + | 4.47542i | −0.167021 | + | 0.167021i | ||||
\(719\) | 12.7528 | 0.475599 | 0.237799 | − | 0.971314i | \(-0.423574\pi\) | ||||
0.237799 | + | 0.971314i | \(0.423574\pi\) | |||||||
\(720\) | 22.2690 | + | 4.27755i | 0.829915 | + | 0.159415i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 14.4417 | − | 14.4417i | 0.537463 | − | 0.537463i | ||||
\(723\) | 1.94548 | + | 1.48934i | 0.0723532 | + | 0.0553893i | ||||
\(724\) | 0.781537i | 0.0290456i | ||||||||
\(725\) | 1.57949 | + | 2.02197i | 0.0586607 | + | 0.0750941i | ||||
\(726\) | 9.59672 | − | 1.27442i | 0.356168 | − | 0.0472981i | ||||
\(727\) | −7.96907 | − | 7.96907i | −0.295557 | − | 0.295557i | 0.543714 | − | 0.839271i | \(-0.317018\pi\) |
−0.839271 | + | 0.543714i | \(0.817018\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −19.2203 | − | 18.9626i | −0.711864 | − | 0.702317i | ||||
\(730\) | −7.65317 | − | 3.73306i | −0.283256 | − | 0.138167i | ||||
\(731\) | − | 28.8148i | − | 1.06575i | ||||||
\(732\) | −1.46663 | + | 1.91581i | −0.0542083 | + | 0.0708105i | ||||
\(733\) | −3.83455 | + | 3.83455i | −0.141633 | + | 0.141633i | −0.774368 | − | 0.632735i | \(-0.781932\pi\) |
0.632735 | + | 0.774368i | \(0.281932\pi\) | |||||||
\(734\) | −18.8337 | −0.695165 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.77754 | 0.139242 | ||||||||
\(737\) | 25.0031 | − | 25.0031i | 0.921002 | − | 0.921002i | ||||
\(738\) | −0.605753 | + | 1.05467i | −0.0222981 | + | 0.0388229i | ||||
\(739\) | 14.8832i | 0.547486i | 0.961803 | + | 0.273743i | \(0.0882617\pi\) | ||||
−0.961803 | + | 0.273743i | \(0.911738\pi\) | |||||||
\(740\) | 1.35754 | + | 3.94307i | 0.0499041 | + | 0.144950i | ||||
\(741\) | 0.939584 | + | 7.07532i | 0.0345165 | + | 0.259918i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −22.4301 | − | 22.4301i | −0.822879 | − | 0.822879i | 0.163641 | − | 0.986520i | \(-0.447676\pi\) |
−0.986520 | + | 0.163641i | \(0.947676\pi\) | |||||||
\(744\) | 5.84527 | + | 44.0165i | 0.214298 | + | 1.61372i | ||||
\(745\) | 9.63898 | − | 19.7609i | 0.353145 | − | 0.723984i | ||||
\(746\) | 1.53282i | 0.0561207i | ||||||||
\(747\) | −19.3574 | + | 33.7029i | −0.708249 | + | 1.23312i | ||||
\(748\) | 2.01628 | − | 2.01628i | 0.0737225 | − | 0.0737225i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 23.9826 | − | 8.51997i | 0.875720 | − | 0.311105i | ||||
\(751\) | −42.4130 | −1.54767 | −0.773836 | − | 0.633385i | \(-0.781665\pi\) | ||||
−0.773836 | + | 0.633385i | \(0.781665\pi\) | |||||||
\(752\) | −12.6450 | + | 12.6450i | −0.461115 | + | 0.461115i | ||||
\(753\) | 11.4648 | − | 14.9760i | 0.417799 | − | 0.545757i | ||||
\(754\) | 1.49403i | 0.0544095i | ||||||||
\(755\) | 1.10878 | − | 2.27311i | 0.0403525 | − | 0.0827268i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.4589 | + | 13.4589i | 0.489171 | + | 0.489171i | 0.908045 | − | 0.418873i | \(-0.137575\pi\) |
−0.418873 | + | 0.908045i | \(0.637575\pi\) | |||||||
\(758\) | −23.1168 | − | 23.1168i | −0.839639 | − | 0.839639i | ||||
\(759\) | 16.5442 | − | 2.19703i | 0.600517 | − | 0.0797471i | ||||
\(760\) | −4.04445 | − | 11.7474i | −0.146708 | − | 0.426123i | ||||
\(761\) | 33.8362i | 1.22656i | 0.789866 | + | 0.613280i | \(0.210150\pi\) | ||||
−0.789866 | + | 0.613280i | \(0.789850\pi\) | |||||||
\(762\) | −20.7669 | − | 15.8979i | −0.752307 | − | 0.575922i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 3.81893 | 0.138164 | ||||||||
\(765\) | 14.8699 | − | 10.0778i | 0.537623 | − | 0.364365i | ||||
\(766\) | −2.33731 | −0.0844503 | ||||||||
\(767\) | −0.811765 | + | 0.811765i | −0.0293112 | + | 0.0293112i | ||||
\(768\) | 8.82482 | + | 6.75576i | 0.318438 | + | 0.243778i | ||||
\(769\) | 3.27472i | 0.118090i | 0.998255 | + | 0.0590448i | \(0.0188055\pi\) | ||||
−0.998255 | + | 0.0590448i | \(0.981195\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 34.0935 | − | 4.52753i | 1.22785 | − | 0.163055i | ||||
\(772\) | −1.83339 | − | 1.83339i | −0.0659850 | − | 0.0659850i | ||||
\(773\) | −1.35034 | − | 1.35034i | −0.0485682 | − | 0.0485682i | 0.682406 | − | 0.730974i | \(-0.260934\pi\) |
−0.730974 | + | 0.682406i | \(0.760934\pi\) | |||||||
\(774\) | 40.9571 | − | 11.0733i | 1.47217 | − | 0.398021i | ||||
\(775\) | 26.4178 | + | 33.8186i | 0.948956 | + | 1.21480i | ||||
\(776\) | 28.8071i | 1.03411i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 24.0058 | − | 24.0058i | 0.860651 | − | 0.860651i | ||||
\(779\) | 0.573812 | 0.0205589 | ||||||||
\(780\) | −2.21921 | − | 0.739855i | −0.0794604 | − | 0.0264911i | ||||
\(781\) | −60.0464 | −2.14863 | ||||||||
\(782\) | −6.13989 | + | 6.13989i | −0.219562 | + | 0.219562i | ||||
\(783\) | −1.01207 | + | 2.46688i | −0.0361686 | + | 0.0881591i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 39.5754 | − | 13.6252i | 1.41251 | − | 0.486304i | ||||
\(786\) | 1.31726 | + | 9.91930i | 0.0469850 | + | 0.353810i | ||||
\(787\) | −15.8766 | − | 15.8766i | −0.565941 | − | 0.565941i | 0.365048 | − | 0.930989i | \(-0.381053\pi\) |
−0.930989 | + | 0.365048i | \(0.881053\pi\) | |||||||
\(788\) | −1.44291 | − | 1.44291i | −0.0514015 | − | 0.0514015i | ||||
\(789\) | −5.97858 | − | 45.0203i | −0.212843 | − | 1.60277i | ||||
\(790\) | −14.0394 | + | 4.83356i | −0.499500 | + | 0.171970i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 30.3467 | + | 17.4297i | 1.07832 | + | 0.619339i | ||||
\(793\) | −8.00288 | + | 8.00288i | −0.284191 | + | 0.284191i | ||||
\(794\) | 31.2402 | 1.10867 | ||||||||
\(795\) | 7.07324 | + | 2.35813i | 0.250862 | + | 0.0836342i | ||||
\(796\) | −2.81461 | −0.0997612 | ||||||||
\(797\) | 13.6812 | − | 13.6812i | 0.484611 | − | 0.484611i | −0.421989 | − | 0.906601i | \(-0.638668\pi\) |
0.906601 | + | 0.421989i | \(0.138668\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.1661i | 0.501160i | ||||||||
\(800\) | 7.59833 | + | 0.933546i | 0.268642 | + | 0.0330058i | ||||
\(801\) | 8.88708 | + | 32.8710i | 0.314010 | + | 1.16144i | ||||
\(802\) | 7.44938 | + | 7.44938i | 0.263047 | + | 0.263047i | ||||
\(803\) | −8.00154 | − | 8.00154i | −0.282368 | − | 0.282368i | ||||
\(804\) | 4.23852 | − | 0.562864i | 0.149481 | − | 0.0198507i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 24.9885i | 0.880184i | ||||||||
\(807\) | −0.663096 | − | 0.507627i | −0.0233421 | − | 0.0178693i | ||||
\(808\) | −9.65506 | + | 9.65506i | −0.339664 | + | 0.339664i | ||||
\(809\) | −46.2731 | −1.62688 | −0.813438 | − | 0.581652i | \(-0.802407\pi\) | ||||
−0.813438 | + | 0.581652i | \(0.802407\pi\) | |||||||
\(810\) | 20.0389 | + | 17.2632i | 0.704095 | + | 0.606566i | ||||
\(811\) | −29.6188 | −1.04006 | −0.520028 | − | 0.854149i | \(-0.674078\pi\) | ||||
−0.520028 | + | 0.854149i | \(0.674078\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.15790 | + | 6.24520i | 0.286110 | + | 0.219029i | ||||
\(814\) | − | 35.1094i | − | 1.23058i | ||||||
\(815\) | 9.48230 | + | 27.5420i | 0.332151 | + | 0.964755i | ||||
\(816\) | −15.5419 | + | 2.06392i | −0.544075 | + | 0.0722517i | ||||
\(817\) | −14.1540 | − | 14.1540i | −0.495187 | − | 0.495187i | ||||
\(818\) | −14.0495 | − | 14.0495i | −0.491228 | − | 0.491228i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0824493 | + | 0.169030i | −0.00287925 | + | 0.00590277i | ||||
\(821\) | 54.5990i | 1.90552i | 0.303728 | + | 0.952759i | \(0.401769\pi\) | ||||
−0.303728 | + | 0.952759i | \(0.598231\pi\) | |||||||
\(822\) | −9.20690 | + | 12.0267i | −0.321127 | + | 0.419478i | ||||
\(823\) | 24.8304 | − | 24.8304i | 0.865532 | − | 0.865532i | −0.126442 | − | 0.991974i | \(-0.540356\pi\) |
0.991974 | + | 0.126442i | \(0.0403557\pi\) | |||||||
\(824\) | −30.2841 | −1.05500 | ||||||||
\(825\) | 33.8208 | − | 0.330627i | 1.17749 | − | 0.0115109i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −15.5901 | + | 15.5901i | −0.542122 | + | 0.542122i | −0.924151 | − | 0.382028i | \(-0.875226\pi\) |
0.382028 | + | 0.924151i | \(0.375226\pi\) | |||||||
\(828\) | 1.74999 | + | 1.00512i | 0.0608165 | + | 0.0349302i | ||||
\(829\) | 13.9384i | 0.484099i | 0.970264 | + | 0.242050i | \(0.0778197\pi\) | ||||
−0.970264 | + | 0.242050i | \(0.922180\pi\) | |||||||
\(830\) | 16.6918 | − | 34.2199i | 0.579380 | − | 1.18779i | ||||
\(831\) | 3.09185 | + | 23.2825i | 0.107255 | + | 0.807661i | ||||
\(832\) | 13.7422 | + | 13.7422i | 0.476426 | + | 0.476426i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −3.69956 | − | 27.8587i | −0.128105 | − | 0.964668i | ||||
\(835\) | −2.51604 | − | 7.30801i | −0.0870710 | − | 0.252904i | ||||
\(836\) | − | 1.98082i | − | 0.0685082i | ||||||
\(837\) | −16.9275 | + | 41.2600i | −0.585100 | + | 1.42615i | ||||
\(838\) | −24.5945 | + | 24.5945i | −0.849602 | + | 0.849602i | ||||
\(839\) | −8.40213 | −0.290074 | −0.145037 | − | 0.989426i | \(-0.546330\pi\) | ||||
−0.145037 | + | 0.989426i | \(0.546330\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.7367 | −0.990920 | ||||||||
\(842\) | −9.74262 | + | 9.74262i | −0.335753 | + | 0.335753i | ||||
\(843\) | −12.8827 | + | 16.8282i | −0.443702 | + | 0.579593i | ||||
\(844\) | − | 1.18496i | − | 0.0407881i | ||||||
\(845\) | 16.2640 | + | 7.93325i | 0.559498 | + | 0.272912i | ||||
\(846\) | −20.1355 | + | 5.44390i | −0.692274 | + | 0.187165i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −4.60156 | − | 4.60156i | −0.158018 | − | 0.158018i | ||||
\(849\) | −35.1422 | + | 4.66679i | −1.20608 | + | 0.160164i | ||||
\(850\) | −13.8674 | + | 10.8327i | −0.475648 | + | 0.371559i | ||||
\(851\) | − | 16.8759i | − | 0.578499i | ||||||
\(852\) | −5.76539 | − | 4.41364i | −0.197519 | − | 0.151209i | ||||
\(853\) | −1.24579 | + | 1.24579i | −0.0426549 | + | 0.0426549i | −0.728113 | − | 0.685458i | \(-0.759602\pi\) |
0.685458 | + | 0.728113i | \(0.259602\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.35391 | − | 12.2545i | 0.0805022 | − | 0.419095i | ||||
\(856\) | −5.28001 | −0.180467 | ||||||||
\(857\) | 6.07380 | − | 6.07380i | 0.207477 | − | 0.207477i | −0.595717 | − | 0.803194i | \(-0.703132\pi\) |
0.803194 | + | 0.595717i | \(0.203132\pi\) | |||||||
\(858\) | 15.6383 | + | 11.9718i | 0.533882 | + | 0.408709i | ||||
\(859\) | − | 19.6568i | − | 0.670682i | −0.942097 | − | 0.335341i | \(-0.891149\pi\) | ||
0.942097 | − | 0.335341i | \(-0.108851\pi\) | |||||||
\(860\) | 6.20316 | − | 2.13565i | 0.211526 | − | 0.0728252i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −5.31831 | − | 5.31831i | −0.181142 | − | 0.181142i | ||||
\(863\) | −19.3016 | − | 19.3016i | −0.657035 | − | 0.657035i | 0.297642 | − | 0.954677i | \(-0.403800\pi\) |
−0.954677 | + | 0.297642i | \(0.903800\pi\) | |||||||
\(864\) | 3.06934 | + | 7.33987i | 0.104421 | + | 0.249708i | ||||
\(865\) | −20.2012 | + | 6.95498i | −0.686862 | + | 0.236476i | ||||
\(866\) | − | 1.81677i | − | 0.0617365i | ||||||
\(867\) | 10.3490 | − | 13.5185i | 0.351469 | − | 0.459112i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −19.7321 | −0.669364 | ||||||||
\(870\) | 0.826123 | − | 2.47797i | 0.0280082 | − | 0.0840110i | ||||
\(871\) | 20.0567 | 0.679596 | ||||||||
\(872\) | −11.3548 | + | 11.3548i | −0.384522 | + | 0.384522i | ||||
\(873\) | −14.4102 | + | 25.0895i | −0.487712 | + | 0.849149i | ||||
\(874\) | 6.03191i | 0.204032i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.180129 | − | 1.35642i | −0.00608598 | − | 0.0458291i | ||||
\(877\) | 2.65855 | + | 2.65855i | 0.0897730 | + | 0.0897730i | 0.750567 | − | 0.660794i | \(-0.229780\pi\) |
−0.660794 | + | 0.750567i | \(0.729780\pi\) | |||||||
\(878\) | −5.27809 | − | 5.27809i | −0.178127 | − | 0.178127i | ||||
\(879\) | 5.90100 | + | 44.4362i | 0.199036 | + | 1.49879i | ||||
\(880\) | −26.5322 | − | 12.9418i | −0.894399 | − | 0.436270i | ||||
\(881\) | 23.1988i | 0.781586i | 0.920479 | + | 0.390793i | \(0.127799\pi\) | ||||
−0.920479 | + | 0.390793i | \(0.872201\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.7408 | + | 12.7408i | −0.428761 | + | 0.428761i | −0.888206 | − | 0.459445i | \(-0.848048\pi\) |
0.459445 | + | 0.888206i | \(0.348048\pi\) | |||||||
\(884\) | 1.61740 | 0.0543989 | ||||||||
\(885\) | 1.79524 | − | 0.897512i | 0.0603463 | − | 0.0301695i | ||||
\(886\) | 29.7174 | 0.998375 | ||||||||
\(887\) | 29.8372 | − | 29.8372i | 1.00183 | − | 1.00183i | 0.00183631 | − | 0.999998i | \(-0.499415\pi\) |
0.999998 | − | 0.00183631i | \(-0.000584516\pi\) | |||||||
\(888\) | 21.5106 | − | 28.0986i | 0.721849 | − | 0.942927i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −10.8587 | − | 31.5399i | −0.363985 | − | 1.05722i | ||||
\(891\) | 17.7115 | + | 30.3608i | 0.593356 | + | 1.01712i | ||||
\(892\) | 3.15103 | + | 3.15103i | 0.105504 | + | 0.105504i | ||||
\(893\) | 6.95848 | + | 6.95848i | 0.232857 | + | 0.232857i | ||||
\(894\) | −22.1883 | + | 2.94655i | −0.742088 | + | 0.0985473i | ||||
\(895\) | −10.5683 | + | 21.6661i | −0.353258 | + | 0.724217i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.51681 | + | 5.75443i | 0.250979 | + | 0.192135i | ||||
\(898\) | −29.7459 | + | 29.7459i | −0.992632 | + | 0.992632i | ||||
\(899\) | 4.40427 | 0.146891 | ||||||||
\(900\) | 3.27163 | + | 2.45422i | 0.109054 | + | 0.0818072i | ||||
\(901\) | −5.15510 | −0.171741 | ||||||||
\(902\) | 1.11959 | − | 1.11959i | 0.0372784 | − | 0.0372784i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 33.0860i | 1.10042i | ||||||||
\(905\) | 2.80994 | − | 5.76066i | 0.0934054 | − | 0.191491i | ||||
\(906\) | −2.55233 | + | 0.338942i | −0.0847955 | + | 0.0112606i | ||||
\(907\) | 19.5239 | + | 19.5239i | 0.648281 | + | 0.648281i | 0.952577 | − | 0.304296i | \(-0.0984213\pi\) |
−0.304296 | + | 0.952577i | \(0.598421\pi\) | |||||||
\(908\) | 2.74352 | + | 2.74352i | 0.0910469 | + | 0.0910469i | ||||
\(909\) | −13.2388 | + | 3.57928i | −0.439104 | + | 0.118717i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 34.8909i | 1.15599i | 0.816042 | + | 0.577993i | \(0.196164\pi\) | ||||
−0.816042 | + | 0.577993i | \(0.803836\pi\) | |||||||
\(912\) | −6.62048 | + | 8.64810i | −0.219226 | + | 0.286367i | ||||
\(913\) | 35.7776 | − | 35.7776i | 1.18407 | − | 1.18407i | ||||
\(914\) | −8.68004 | −0.287110 | ||||||||
\(915\) | 17.6986 | − | 8.84822i | 0.585097 | − | 0.292513i | ||||
\(916\) | −4.90279 | −0.161993 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −16.9188 | − | 6.94117i | −0.558403 | − | 0.229093i | ||||
\(919\) | 43.7641i | 1.44364i | 0.692078 | + | 0.721822i | \(0.256695\pi\) | ||||
−0.692078 | + | 0.721822i | \(0.743305\pi\) | |||||||
\(920\) | −14.8104 | − | 7.22424i | −0.488286 | − | 0.238176i | ||||
\(921\) | 6.22015 | + | 46.8394i | 0.204961 | + | 1.54341i | ||||
\(922\) | −26.3787 | − | 26.3787i | −0.868737 | − | 0.868737i | ||||
\(923\) | −24.0836 | − | 24.0836i | −0.792722 | − | 0.792722i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.17055 | − | 33.9450i | 0.137127 | − | 1.11611i | ||||
\(926\) | 7.19262i | 0.236364i | ||||||||
\(927\) | −26.3759 | − | 15.1491i | −0.866297 | − | 0.497561i | ||||
\(928\) | 0.555563 | − | 0.555563i | 0.0182372 | − | 0.0182372i | ||||
\(929\) | −45.4522 | −1.49124 | −0.745619 | − | 0.666373i | \(-0.767846\pi\) | ||||
−0.745619 | + | 0.666373i | \(0.767846\pi\) | |||||||
\(930\) | 13.8174 | − | 41.4454i | 0.453089 | − | 1.35905i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 2.23093 | − | 2.23093i | 0.0730765 | − | 0.0730765i | ||||
\(933\) | 26.7098 | − | 34.8901i | 0.874439 | − | 1.14225i | ||||
\(934\) | 10.8363i | 0.354576i | ||||||||
\(935\) | −22.1112 | + | 7.61256i | −0.723114 | + | 0.248957i | ||||
\(936\) | 5.18079 | + | 19.1624i | 0.169339 | + | 0.626342i | ||||
\(937\) | 28.5393 | + | 28.5393i | 0.932338 | + | 0.932338i | 0.997852 | − | 0.0655135i | \(-0.0208685\pi\) |
−0.0655135 | + | 0.997852i | \(0.520869\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −42.0557 | + | 5.58489i | −1.37244 | + | 0.182256i | ||||
\(940\) | −3.04963 | + | 1.04994i | −0.0994679 | + | 0.0342453i | ||||
\(941\) | − | 1.56805i | − | 0.0511169i | −0.999673 | − | 0.0255585i | \(-0.991864\pi\) | ||
0.999673 | − | 0.0255585i | \(-0.00813640\pi\) | |||||||
\(942\) | −33.8342 | − | 25.9014i | −1.10238 | − | 0.843915i | ||||
\(943\) | 0.538152 | − | 0.538152i | 0.0175246 | − | 0.0175246i | ||||
\(944\) | −1.75179 | −0.0570160 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −55.2334 | −1.79579 | ||||||||
\(947\) | 28.6990 | − | 28.6990i | 0.932594 | − | 0.932594i | −0.0652736 | − | 0.997867i | \(-0.520792\pi\) |
0.997867 | + | 0.0652736i | \(0.0207920\pi\) | |||||||
\(948\) | −1.89459 | − | 1.45038i | −0.0615333 | − | 0.0471063i | ||||
\(949\) | − | 6.41858i | − | 0.208356i | ||||||
\(950\) | −1.49067 | + | 12.1329i | −0.0483637 | + | 0.393642i | ||||
\(951\) | 20.6921 | − | 2.74786i | 0.670989 | − | 0.0891055i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −31.1034 | − | 31.1034i | −1.00754 | − | 1.00754i | −0.999971 | − | 0.00756809i | \(-0.997591\pi\) |
−0.00756809 | − | 0.999971i | \(-0.502409\pi\) | |||||||
\(954\) | −1.98106 | − | 7.32741i | −0.0641391 | − | 0.237234i | ||||
\(955\) | −28.1491 | − | 13.7306i | −0.910885 | − | 0.444311i | ||||
\(956\) | − | 6.55781i | − | 0.212095i | ||||||
\(957\) | 2.11004 | − | 2.75627i | 0.0682079 | − | 0.0890977i | ||||
\(958\) | 20.1961 | − | 20.1961i | 0.652507 | − | 0.652507i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −15.1938 | − | 30.3913i | −0.490378 | − | 0.980874i | ||||
\(961\) | 42.6639 | 1.37625 | ||||||||
\(962\) | 14.0818 | − | 14.0818i | 0.454015 | − | 0.454015i | ||||
\(963\) | −4.59860 | − | 2.64123i | −0.148188 | − | 0.0851123i | ||||
\(964\) | − | 0.385691i | − | 0.0124223i | ||||||
\(965\) | 6.92203 | + | 20.1055i | 0.222828 | + | 0.647220i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.87814 | − | 4.87814i | −0.156870 | − | 0.156870i | 0.624308 | − | 0.781178i | \(-0.285381\pi\) |
−0.781178 | + | 0.624308i | \(0.785381\pi\) | |||||||
\(968\) | −8.98208 | − | 8.98208i | −0.288695 | − | 0.288695i | ||||
\(969\) | 1.13577 | + | 8.55264i | 0.0364861 | + | 0.274750i | ||||
\(970\) | 12.4259 | − | 25.4744i | 0.398971 | − | 0.817932i | ||||
\(971\) | − | 27.3732i | − | 0.878449i | −0.898377 | − | 0.439224i | \(-0.855253\pi\) | ||
0.898377 | − | 0.439224i | \(-0.144747\pi\) | |||||||
\(972\) | −0.531058 | + | 4.21697i | −0.0170337 | + | 0.135259i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 11.8931 | 0.381080 | ||||||||
\(975\) | 13.6976 | + | 13.4324i | 0.438674 | + | 0.430180i | ||||
\(976\) | −17.2703 | −0.552807 | ||||||||
\(977\) | 0.221692 | − | 0.221692i | 0.00709254 | − | 0.00709254i | −0.703552 | − | 0.710644i | \(-0.748404\pi\) |
0.710644 | + | 0.703552i | \(0.248404\pi\) | |||||||
\(978\) | 18.0258 | − | 23.5465i | 0.576402 | − | 0.752934i | ||||
\(979\) | − | 44.3287i | − | 1.41675i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.5695 | + | 4.20940i | −0.497094 | + | 0.134396i | ||||
\(982\) | 26.8724 | + | 26.8724i | 0.857533 | + | 0.857533i | ||||
\(983\) | 38.4867 | + | 38.4867i | 1.22754 | + | 1.22754i | 0.964893 | + | 0.262642i | \(0.0845937\pi\) |
0.262642 | + | 0.964893i | \(0.415406\pi\) | |||||||
\(984\) | 1.58197 | − | 0.210082i | 0.0504315 | − | 0.00669717i | ||||
\(985\) | 5.44777 | + | 15.8234i | 0.173580 | + | 0.504177i | ||||
\(986\) | 1.80598i | 0.0575143i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.794476 | − | 0.794476i | 0.0252756 | − | 0.0252756i | ||||
\(989\) | −26.5489 | −0.844205 | ||||||||
\(990\) | −19.3176 | − | 28.5032i | −0.613952 | − | 0.905893i | ||||
\(991\) | 5.75813 | 0.182913 | 0.0914565 | − | 0.995809i | \(-0.470848\pi\) | ||||
0.0914565 | + | 0.995809i | \(0.470848\pi\) | |||||||
\(992\) | 9.29210 | − | 9.29210i | 0.295024 | − | 0.295024i | ||||
\(993\) | 13.4067 | + | 10.2634i | 0.425448 | + | 0.325698i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 20.7463 | + | 10.1196i | 0.657703 | + | 0.320814i | ||||
\(996\) | 6.06500 | − | 0.805416i | 0.192177 | − | 0.0255206i | ||||
\(997\) | −25.5371 | − | 25.5371i | −0.808769 | − | 0.808769i | 0.175679 | − | 0.984448i | \(-0.443788\pi\) |
−0.984448 | + | 0.175679i | \(0.943788\pi\) | |||||||
\(998\) | −29.9741 | − | 29.9741i | −0.948813 | − | 0.948813i | ||||
\(999\) | 32.7904 | − | 13.7121i | 1.03744 | − | 0.433831i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))