Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 406.1 | ||
Root | \(-0.642788 - 0.766044i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.406 |
Dual form | 729.2.e.o.325.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32683 | − | 1.11334i | −0.938209 | − | 0.787251i | 0.0390637 | − | 0.999237i | \(-0.487562\pi\) |
−0.977273 | + | 0.211986i | \(0.932007\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −1.62760 | − | 0.592396i | −0.727883 | − | 0.264928i | −0.0486144 | − | 0.998818i | \(-0.515481\pi\) |
−0.679268 | + | 0.733890i | \(0.737703\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.347296 | − | 1.96962i | 0.131266 | − | 0.744445i | −0.846122 | − | 0.532989i | \(-0.821069\pi\) |
0.977388 | − | 0.211455i | \(-0.0678203\pi\) | |||||||
\(8\) | −0.866025 | + | 1.50000i | −0.306186 | + | 0.530330i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.50000 | + | 2.59808i | 0.474342 | + | 0.821584i | ||||
\(11\) | −3.25519 | + | 1.18479i | −0.981477 | + | 0.357228i | −0.782414 | − | 0.622758i | \(-0.786012\pi\) |
−0.199063 | + | 0.979987i | \(0.563790\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.766044 | + | 0.642788i | −0.212463 | + | 0.178277i | −0.742808 | − | 0.669504i | \(-0.766507\pi\) |
0.530346 | + | 0.847781i | \(0.322062\pi\) | |||||||
\(14\) | −2.65366 | + | 2.22668i | −0.709219 | + | 0.595106i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.69846 | − | 1.71010i | 1.17462 | − | 0.427525i | ||||
\(17\) | 2.59808 | + | 4.50000i | 0.630126 | + | 1.09141i | 0.987526 | + | 0.157459i | \(0.0503301\pi\) |
−0.357400 | + | 0.933952i | \(0.616337\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.00000 | + | 1.73205i | −0.229416 | + | 0.397360i | −0.957635 | − | 0.287984i | \(-0.907015\pi\) |
0.728219 | + | 0.685344i | \(0.240348\pi\) | |||||||
\(20\) | 0.300767 | − | 1.70574i | 0.0672537 | − | 0.381414i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.63816 | + | 2.05212i | 1.20206 | + | 0.437514i | ||||
\(23\) | −0.601535 | − | 3.41147i | −0.125429 | − | 0.711342i | −0.981052 | − | 0.193743i | \(-0.937937\pi\) |
0.855624 | − | 0.517599i | \(-0.173174\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.53209 | − | 1.28558i | −0.306418 | − | 0.257115i | ||||
\(26\) | 1.73205 | 0.339683 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.00000 | 0.377964 | ||||||||
\(29\) | −1.32683 | − | 1.11334i | −0.246386 | − | 0.206742i | 0.511228 | − | 0.859445i | \(-0.329191\pi\) |
−0.757614 | + | 0.652703i | \(0.773635\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.38919 | + | 7.87846i | 0.249505 | + | 1.41501i | 0.809793 | + | 0.586716i | \(0.199579\pi\) |
−0.560288 | + | 0.828298i | \(0.689310\pi\) | |||||||
\(32\) | −4.88279 | − | 1.77719i | −0.863163 | − | 0.314166i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.56283 | − | 8.86327i | 0.268024 | − | 1.52004i | ||||
\(35\) | −1.73205 | + | 3.00000i | −0.292770 | + | 0.507093i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.50000 | + | 6.06218i | 0.575396 | + | 0.996616i | 0.995998 | + | 0.0893706i | \(0.0284856\pi\) |
−0.420602 | + | 0.907245i | \(0.638181\pi\) | |||||||
\(38\) | 3.25519 | − | 1.18479i | 0.528062 | − | 0.192199i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.29813 | − | 1.92836i | 0.363367 | − | 0.304901i | ||||
\(41\) | 5.30731 | − | 4.45336i | 0.828863 | − | 0.695498i | −0.126167 | − | 0.992009i | \(-0.540267\pi\) |
0.955030 | + | 0.296511i | \(0.0958230\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.87939 | + | 0.684040i | −0.286604 | + | 0.104315i | −0.481322 | − | 0.876544i | \(-0.659843\pi\) |
0.194718 | + | 0.980859i | \(0.437621\pi\) | |||||||
\(44\) | −1.73205 | − | 3.00000i | −0.261116 | − | 0.452267i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.00000 | + | 5.19615i | −0.442326 | + | 0.766131i | ||||
\(47\) | −1.20307 | + | 6.82295i | −0.175486 | + | 0.995229i | 0.762096 | + | 0.647464i | \(0.224170\pi\) |
−0.937582 | + | 0.347765i | \(0.886941\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.81908 | + | 1.02606i | 0.402725 | + | 0.146580i | ||||
\(50\) | 0.601535 | + | 3.41147i | 0.0850699 | + | 0.482455i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.766044 | − | 0.642788i | −0.106231 | − | 0.0891386i | ||||
\(53\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.00000 | 0.809040 | ||||||||
\(56\) | 2.65366 | + | 2.22668i | 0.354610 | + | 0.297553i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.520945 | + | 2.95442i | 0.0684034 | + | 0.387935i | ||||
\(59\) | 13.0208 | + | 4.73917i | 1.69516 | + | 0.616987i | 0.995260 | − | 0.0972541i | \(-0.0310059\pi\) |
0.699899 | + | 0.714241i | \(0.253228\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.21554 | + | 6.89365i | −0.155634 | + | 0.882642i | 0.802571 | + | 0.596557i | \(0.203465\pi\) |
−0.958204 | + | 0.286085i | \(0.907646\pi\) | |||||||
\(62\) | 6.92820 | − | 12.0000i | 0.879883 | − | 1.52400i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.62760 | − | 0.592396i | 0.201878 | − | 0.0734777i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.66044 | + | 6.42788i | −0.935872 | + | 0.785290i | −0.976862 | − | 0.213870i | \(-0.931393\pi\) |
0.0409900 | + | 0.999160i | \(0.486949\pi\) | |||||||
\(68\) | −3.98048 | + | 3.34002i | −0.482705 | + | 0.405037i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.63816 | − | 2.05212i | 0.673889 | − | 0.245275i | ||||
\(71\) | −5.19615 | − | 9.00000i | −0.616670 | − | 1.06810i | −0.990089 | − | 0.140441i | \(-0.955148\pi\) |
0.373419 | − | 0.927663i | \(-0.378185\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.50000 | − | 6.06218i | 0.409644 | − | 0.709524i | −0.585206 | − | 0.810885i | \(-0.698986\pi\) |
0.994850 | + | 0.101361i | \(0.0323196\pi\) | |||||||
\(74\) | 2.10537 | − | 11.9402i | 0.244745 | − | 1.38802i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.87939 | − | 0.684040i | −0.215580 | − | 0.0784648i | ||||
\(77\) | 1.20307 | + | 6.82295i | 0.137103 | + | 0.777547i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.53209 | + | 1.28558i | 0.172373 | + | 0.144639i | 0.724893 | − | 0.688861i | \(-0.241889\pi\) |
−0.552520 | + | 0.833500i | \(0.686334\pi\) | |||||||
\(80\) | −8.66025 | −0.968246 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.0000 | −1.32518 | ||||||||
\(83\) | 10.6146 | + | 8.90673i | 1.16511 | + | 0.977640i | 0.999963 | − | 0.00862932i | \(-0.00274683\pi\) |
0.165143 | + | 0.986270i | \(0.447191\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.56283 | − | 8.86327i | −0.169513 | − | 0.961357i | ||||
\(86\) | 3.25519 | + | 1.18479i | 0.351016 | + | 0.127759i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.04189 | − | 5.90885i | 0.111066 | − | 0.629885i | ||||
\(89\) | −2.59808 | + | 4.50000i | −0.275396 | + | 0.476999i | −0.970235 | − | 0.242166i | \(-0.922142\pi\) |
0.694839 | + | 0.719165i | \(0.255475\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.00000 | + | 1.73205i | 0.104828 | + | 0.181568i | ||||
\(92\) | 3.25519 | − | 1.18479i | 0.339377 | − | 0.123523i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.19253 | − | 7.71345i | 0.948137 | − | 0.795582i | ||||
\(95\) | 2.65366 | − | 2.22668i | 0.272259 | − | 0.228453i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.87939 | + | 0.684040i | −0.190823 | + | 0.0694538i | −0.435664 | − | 0.900109i | \(-0.643486\pi\) |
0.244841 | + | 0.969563i | \(0.421264\pi\) | |||||||
\(98\) | −2.59808 | − | 4.50000i | −0.262445 | − | 0.454569i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.00000 | − | 1.73205i | 0.100000 | − | 0.173205i | ||||
\(101\) | −1.20307 | + | 6.82295i | −0.119710 | + | 0.678909i | 0.864600 | + | 0.502461i | \(0.167572\pi\) |
−0.984310 | + | 0.176448i | \(0.943539\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.51754 | − | 2.73616i | −0.740725 | − | 0.269602i | −0.0560277 | − | 0.998429i | \(-0.517844\pi\) |
−0.684698 | + | 0.728827i | \(0.740066\pi\) | |||||||
\(104\) | −0.300767 | − | 1.70574i | −0.0294927 | − | 0.167261i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.0000 | 1.05361 | 0.526804 | − | 0.849987i | \(-0.323390\pi\) | ||||
0.526804 | + | 0.849987i | \(0.323390\pi\) | |||||||
\(110\) | −7.96097 | − | 6.68004i | −0.759048 | − | 0.636917i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.73648 | − | 9.84808i | −0.164082 | − | 0.930556i | ||||
\(113\) | −1.62760 | − | 0.592396i | −0.153111 | − | 0.0557280i | 0.264328 | − | 0.964433i | \(-0.414850\pi\) |
−0.417439 | + | 0.908705i | \(0.637072\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.04189 | + | 5.90885i | −0.0971567 | + | 0.551003i | ||||
\(116\) | 0.866025 | − | 1.50000i | 0.0804084 | − | 0.139272i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −12.0000 | − | 20.7846i | −1.10469 | − | 1.91338i | ||||
\(119\) | 9.76557 | − | 3.55438i | 0.895209 | − | 0.325829i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.766044 | − | 0.642788i | 0.0696404 | − | 0.0584352i | ||||
\(122\) | 9.28780 | − | 7.79339i | 0.840877 | − | 0.705580i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.51754 | + | 2.73616i | −0.675095 | + | 0.245715i | ||||
\(125\) | 6.06218 | + | 10.5000i | 0.542218 | + | 0.939149i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.00000 | + | 1.73205i | −0.0887357 | + | 0.153695i | −0.906977 | − | 0.421180i | \(-0.861616\pi\) |
0.818241 | + | 0.574875i | \(0.194949\pi\) | |||||||
\(128\) | −2.10537 | + | 11.9402i | −0.186090 | + | 1.05537i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.81908 | − | 1.02606i | −0.247249 | − | 0.0899915i | ||||
\(131\) | −0.601535 | − | 3.41147i | −0.0525564 | − | 0.298062i | 0.947188 | − | 0.320679i | \(-0.103911\pi\) |
−0.999744 | + | 0.0226174i | \(0.992800\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.06418 | + | 2.57115i | 0.265698 | + | 0.222947i | ||||
\(134\) | 17.3205 | 1.49626 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.00000 | −0.771744 | ||||||||
\(137\) | −1.32683 | − | 1.11334i | −0.113359 | − | 0.0951191i | 0.584346 | − | 0.811504i | \(-0.301351\pi\) |
−0.697705 | + | 0.716385i | \(0.745795\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.38919 | + | 7.87846i | 0.117829 | + | 0.668242i | 0.985310 | + | 0.170773i | \(0.0546264\pi\) |
−0.867481 | + | 0.497470i | \(0.834263\pi\) | |||||||
\(140\) | −3.25519 | − | 1.18479i | −0.275114 | − | 0.100133i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.12567 | + | 17.7265i | −0.262300 | + | 1.48758i | ||||
\(143\) | 1.73205 | − | 3.00000i | 0.144841 | − | 0.250873i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.50000 | + | 2.59808i | 0.124568 | + | 0.215758i | ||||
\(146\) | −11.3932 | + | 4.14677i | −0.942905 | + | 0.343189i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.36231 | + | 4.49951i | −0.440779 | + | 0.369858i | ||||
\(149\) | −6.63414 | + | 5.56670i | −0.543490 | + | 0.456042i | −0.872729 | − | 0.488204i | \(-0.837652\pi\) |
0.329239 | + | 0.944246i | \(0.393208\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −18.7939 | + | 6.84040i | −1.52942 | + | 0.556664i | −0.963480 | − | 0.267781i | \(-0.913710\pi\) |
−0.565942 | + | 0.824445i | \(0.691487\pi\) | |||||||
\(152\) | −1.73205 | − | 3.00000i | −0.140488 | − | 0.243332i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.00000 | − | 10.3923i | 0.483494 | − | 0.837436i | ||||
\(155\) | 2.40614 | − | 13.6459i | 0.193266 | − | 1.09606i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.9748 | − | 5.81434i | −1.27493 | − | 0.464035i | −0.386175 | − | 0.922426i | \(-0.626204\pi\) |
−0.888751 | + | 0.458391i | \(0.848426\pi\) | |||||||
\(158\) | −0.601535 | − | 3.41147i | −0.0478555 | − | 0.271402i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 6.89440 | + | 5.78509i | 0.545050 | + | 0.457351i | ||||
\(161\) | −6.92820 | −0.546019 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.0000 | −1.25322 | −0.626608 | − | 0.779334i | \(-0.715557\pi\) | ||||
−0.626608 | + | 0.779334i | \(0.715557\pi\) | |||||||
\(164\) | 5.30731 | + | 4.45336i | 0.414431 | + | 0.347749i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.16756 | − | 23.6354i | −0.323465 | − | 1.83446i | ||||
\(167\) | −16.2760 | − | 5.92396i | −1.25947 | − | 0.458410i | −0.375880 | − | 0.926669i | \(-0.622659\pi\) |
−0.883592 | + | 0.468259i | \(0.844882\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.08378 | + | 11.8177i | −0.160291 | + | 0.909053i | ||||
\(170\) | −7.79423 | + | 13.5000i | −0.597790 | + | 1.03540i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.00000 | − | 1.73205i | −0.0762493 | − | 0.132068i | ||||
\(173\) | −17.9035 | + | 6.51636i | −1.36118 | + | 0.495430i | −0.916419 | − | 0.400219i | \(-0.868934\pi\) |
−0.444762 | + | 0.895649i | \(0.646712\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.06418 | + | 2.57115i | −0.231630 | + | 0.194361i | ||||
\(176\) | −13.2683 | + | 11.1334i | −1.00013 | + | 0.839212i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.45723 | − | 3.07818i | 0.633896 | − | 0.230719i | ||||
\(179\) | 10.3923 | + | 18.0000i | 0.776757 | + | 1.34538i | 0.933801 | + | 0.357792i | \(0.116470\pi\) |
−0.157044 | + | 0.987592i | \(0.550196\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.00000 | + | 1.73205i | −0.0743294 | + | 0.128742i | −0.900794 | − | 0.434246i | \(-0.857015\pi\) |
0.826465 | + | 0.562988i | \(0.190348\pi\) | |||||||
\(182\) | 0.601535 | − | 3.41147i | 0.0445887 | − | 0.252875i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.63816 | + | 2.05212i | 0.415650 | + | 0.151284i | ||||
\(185\) | −2.10537 | − | 11.9402i | −0.154790 | − | 0.877858i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.7888 | − | 11.5702i | −1.00834 | − | 0.846095i | ||||
\(188\) | −6.92820 | −0.505291 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | −13.2683 | − | 11.1334i | −0.960059 | − | 0.805585i | 0.0209037 | − | 0.999781i | \(-0.493346\pi\) |
−0.980963 | + | 0.194196i | \(0.937790\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.173648 | − | 0.984808i | −0.0124995 | − | 0.0708880i | 0.977920 | − | 0.208980i | \(-0.0670143\pi\) |
−0.990419 | + | 0.138092i | \(0.955903\pi\) | |||||||
\(194\) | 3.25519 | + | 1.18479i | 0.233709 | + | 0.0850631i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.520945 | + | 2.95442i | −0.0372103 | + | 0.211030i | ||||
\(197\) | −2.59808 | + | 4.50000i | −0.185105 | + | 0.320612i | −0.943612 | − | 0.331053i | \(-0.892596\pi\) |
0.758507 | + | 0.651665i | \(0.225929\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.0000 | − | 17.3205i | −0.708881 | − | 1.22782i | −0.965272 | − | 0.261245i | \(-0.915867\pi\) |
0.256391 | − | 0.966573i | \(-0.417466\pi\) | |||||||
\(200\) | 3.25519 | − | 1.18479i | 0.230177 | − | 0.0837775i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.19253 | − | 7.71345i | 0.646784 | − | 0.542717i | ||||
\(203\) | −2.65366 | + | 2.22668i | −0.186250 | + | 0.156282i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.2763 | + | 4.10424i | −0.787572 | + | 0.286653i | ||||
\(206\) | 6.92820 | + | 12.0000i | 0.482711 | + | 0.836080i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.50000 | + | 4.33013i | −0.173344 | + | 0.300240i | ||||
\(209\) | 1.20307 | − | 6.82295i | 0.0832181 | − | 0.471953i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.39693 | + | 3.42020i | 0.646911 | + | 0.235456i | 0.644575 | − | 0.764541i | \(-0.277034\pi\) |
0.00233585 | + | 0.999997i | \(0.499256\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.46410 | 0.236250 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.0000 | 1.08615 | ||||||||
\(218\) | −14.5951 | − | 12.2467i | −0.988505 | − | 0.829454i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.04189 | + | 5.90885i | 0.0702441 | + | 0.398374i | ||||
\(221\) | −4.88279 | − | 1.77719i | −0.328452 | − | 0.119547i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.347296 | − | 1.96962i | 0.0232567 | − | 0.131895i | −0.970969 | − | 0.239206i | \(-0.923113\pi\) |
0.994226 | + | 0.107311i | \(0.0342240\pi\) | |||||||
\(224\) | −5.19615 | + | 9.00000i | −0.347183 | + | 0.601338i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.50000 | + | 2.59808i | 0.0997785 | + | 0.172821i | ||||
\(227\) | −3.25519 | + | 1.18479i | −0.216055 | + | 0.0786374i | −0.447780 | − | 0.894144i | \(-0.647785\pi\) |
0.231725 | + | 0.972781i | \(0.425563\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.766044 | + | 0.642788i | −0.0506216 | + | 0.0424766i | −0.667747 | − | 0.744388i | \(-0.732741\pi\) |
0.617126 | + | 0.786864i | \(0.288297\pi\) | |||||||
\(230\) | 7.96097 | − | 6.68004i | 0.524931 | − | 0.440469i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.81908 | − | 1.02606i | 0.185082 | − | 0.0673642i | ||||
\(233\) | −12.9904 | − | 22.5000i | −0.851028 | − | 1.47402i | −0.880281 | − | 0.474452i | \(-0.842646\pi\) |
0.0292532 | − | 0.999572i | \(-0.490687\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.00000 | − | 10.3923i | 0.391397 | − | 0.677919i | ||||
\(236\) | −2.40614 | + | 13.6459i | −0.156626 | + | 0.888272i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −16.9145 | − | 6.15636i | −1.09640 | − | 0.399058i | ||||
\(239\) | 4.81228 | + | 27.2918i | 0.311280 | + | 1.76536i | 0.592359 | + | 0.805674i | \(0.298197\pi\) |
−0.281078 | + | 0.959685i | \(0.590692\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.2153 | + | 18.6408i | 1.43101 | + | 1.20076i | 0.945111 | + | 0.326748i | \(0.105953\pi\) |
0.485901 | + | 0.874014i | \(0.338491\pi\) | |||||||
\(242\) | −1.73205 | −0.111340 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.00000 | −0.448129 | ||||||||
\(245\) | −3.98048 | − | 3.34002i | −0.254304 | − | 0.213386i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.347296 | − | 1.96962i | −0.0220979 | − | 0.125324i | ||||
\(248\) | −13.0208 | − | 4.73917i | −0.826819 | − | 0.300938i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.64661 | − | 20.6810i | 0.230632 | − | 1.30798i | ||||
\(251\) | 5.19615 | − | 9.00000i | 0.327978 | − | 0.568075i | −0.654132 | − | 0.756380i | \(-0.726966\pi\) |
0.982111 | + | 0.188305i | \(0.0602994\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.00000 | + | 10.3923i | 0.377217 | + | 0.653359i | ||||
\(254\) | 3.25519 | − | 1.18479i | 0.204249 | − | 0.0743405i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.5548 | − | 12.2130i | 0.909678 | − | 0.763310i | ||||
\(257\) | −6.63414 | + | 5.56670i | −0.413826 | + | 0.347241i | −0.825809 | − | 0.563950i | \(-0.809281\pi\) |
0.411982 | + | 0.911192i | \(0.364836\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.1557 | − | 4.78828i | 0.817455 | − | 0.297529i | ||||
\(260\) | 0.866025 | + | 1.50000i | 0.0537086 | + | 0.0930261i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.00000 | + | 5.19615i | −0.185341 | + | 0.321019i | ||||
\(263\) | −1.20307 | + | 6.82295i | −0.0741845 | + | 0.420721i | 0.924986 | + | 0.380001i | \(0.124076\pi\) |
−0.999171 | + | 0.0407201i | \(0.987035\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −1.20307 | − | 6.82295i | −0.0737649 | − | 0.418342i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.66044 | − | 6.42788i | −0.467936 | − | 0.392645i | ||||
\(269\) | 15.5885 | 0.950445 | 0.475223 | − | 0.879866i | \(-0.342368\pi\) | ||||
0.475223 | + | 0.879866i | \(0.342368\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.00000 | 0.121491 | 0.0607457 | − | 0.998153i | \(-0.480652\pi\) | ||||
0.0607457 | + | 0.998153i | \(0.480652\pi\) | |||||||
\(272\) | 19.9024 | + | 16.7001i | 1.20676 | + | 1.01259i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.520945 | + | 2.95442i | 0.0314714 | + | 0.178483i | ||||
\(275\) | 6.51038 | + | 2.36959i | 0.392591 | + | 0.142891i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.347296 | − | 1.96962i | 0.0208670 | − | 0.118343i | −0.972595 | − | 0.232506i | \(-0.925308\pi\) |
0.993462 | + | 0.114163i | \(0.0364186\pi\) | |||||||
\(278\) | 6.92820 | − | 12.0000i | 0.415526 | − | 0.719712i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.00000 | − | 5.19615i | −0.179284 | − | 0.310530i | ||||
\(281\) | 11.3932 | − | 4.14677i | 0.679659 | − | 0.247376i | 0.0209581 | − | 0.999780i | \(-0.493328\pi\) |
0.658701 | + | 0.752405i | \(0.271106\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.4492 | + | 17.9981i | −1.27503 | + | 1.06987i | −0.281116 | + | 0.959674i | \(0.590704\pi\) |
−0.993910 | + | 0.110199i | \(0.964851\pi\) | |||||||
\(284\) | 7.96097 | − | 6.68004i | 0.472397 | − | 0.396388i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.63816 | + | 2.05212i | −0.333391 | + | 0.121344i | ||||
\(287\) | −6.92820 | − | 12.0000i | −0.408959 | − | 0.708338i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.00000 | + | 8.66025i | −0.294118 | + | 0.509427i | ||||
\(290\) | 0.902302 | − | 5.11721i | 0.0529850 | − | 0.300493i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.57785 | + | 2.39414i | 0.384939 | + | 0.140107i | ||||
\(293\) | −3.30844 | − | 18.7631i | −0.193281 | − | 1.09615i | −0.914845 | − | 0.403805i | \(-0.867688\pi\) |
0.721564 | − | 0.692348i | \(-0.243424\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −18.3851 | − | 15.4269i | −1.07042 | − | 0.898189i | ||||
\(296\) | −12.1244 | −0.704714 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.0000 | 0.868927 | ||||||||
\(299\) | 2.65366 | + | 2.22668i | 0.153465 | + | 0.128772i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.694593 | + | 3.93923i | 0.0400357 | + | 0.227054i | ||||
\(302\) | 32.5519 | + | 11.8479i | 1.87315 | + | 0.681771i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.73648 | + | 9.84808i | −0.0995941 | + | 0.564826i | ||||
\(305\) | 6.06218 | − | 10.5000i | 0.347119 | − | 0.601228i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.00000 | + | 13.8564i | 0.456584 | + | 0.790827i | 0.998778 | − | 0.0494267i | \(-0.0157394\pi\) |
−0.542194 | + | 0.840254i | \(0.682406\pi\) | |||||||
\(308\) | −6.51038 | + | 2.36959i | −0.370963 | + | 0.135020i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −18.3851 | + | 15.4269i | −1.04420 | + | 0.876189i | ||||
\(311\) | 5.30731 | − | 4.45336i | 0.300950 | − | 0.252527i | −0.479790 | − | 0.877384i | \(-0.659287\pi\) |
0.780740 | + | 0.624857i | \(0.214843\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 23.4923 | − | 8.55050i | 1.32786 | − | 0.483303i | 0.421894 | − | 0.906645i | \(-0.361365\pi\) |
0.905970 | + | 0.423342i | \(0.139143\pi\) | |||||||
\(314\) | 14.7224 | + | 25.5000i | 0.830835 | + | 1.43905i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.00000 | + | 1.73205i | −0.0562544 | + | 0.0974355i | ||||
\(317\) | 1.50384 | − | 8.52869i | 0.0844639 | − | 0.479019i | −0.913007 | − | 0.407944i | \(-0.866246\pi\) |
0.997471 | − | 0.0710749i | \(-0.0226429\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.63816 | + | 2.05212i | 0.315676 | + | 0.114897i | ||||
\(320\) | 0.300767 | + | 1.70574i | 0.0168134 | + | 0.0953536i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.19253 | + | 7.71345i | 0.512280 | + | 0.429854i | ||||
\(323\) | −10.3923 | −0.578243 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.00000 | 0.110940 | ||||||||
\(326\) | 21.2292 | + | 17.8135i | 1.17578 | + | 0.986596i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.08378 | + | 11.8177i | 0.115057 | + | 0.652523i | ||||
\(329\) | 13.0208 | + | 4.73917i | 0.717858 | + | 0.261279i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.347296 | − | 1.96962i | 0.0190891 | − | 0.108260i | −0.973774 | − | 0.227516i | \(-0.926940\pi\) |
0.992864 | + | 0.119256i | \(0.0380508\pi\) | |||||||
\(332\) | −6.92820 | + | 12.0000i | −0.380235 | + | 0.658586i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 15.0000 | + | 25.9808i | 0.820763 | + | 1.42160i | ||||
\(335\) | 16.2760 | − | 5.92396i | 0.889250 | − | 0.323661i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.9172 | − | 16.7125i | 1.08496 | − | 0.910387i | 0.0886337 | − | 0.996064i | \(-0.471750\pi\) |
0.996323 | + | 0.0856776i | \(0.0273055\pi\) | |||||||
\(338\) | 15.9219 | − | 13.3601i | 0.866039 | − | 0.726693i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 8.45723 | − | 3.07818i | 0.458658 | − | 0.166938i | ||||
\(341\) | −13.8564 | − | 24.0000i | −0.750366 | − | 1.29967i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | − | 17.3205i | 0.539949 | − | 0.935220i | ||||
\(344\) | 0.601535 | − | 3.41147i | 0.0324326 | − | 0.183934i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 31.0099 | + | 11.2867i | 1.66710 | + | 0.606775i | ||||
\(347\) | −0.601535 | − | 3.41147i | −0.0322921 | − | 0.183138i | 0.964395 | − | 0.264465i | \(-0.0851953\pi\) |
−0.996687 | + | 0.0813271i | \(0.974084\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.53209 | + | 1.28558i | 0.0820108 | + | 0.0688153i | 0.682871 | − | 0.730539i | \(-0.260731\pi\) |
−0.600861 | + | 0.799354i | \(0.705175\pi\) | |||||||
\(350\) | 6.92820 | 0.370328 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.0000 | 0.959403 | ||||||||
\(353\) | 10.6146 | + | 8.90673i | 0.564959 | + | 0.474057i | 0.879969 | − | 0.475031i | \(-0.157563\pi\) |
−0.315010 | + | 0.949089i | \(0.602008\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.12567 | + | 17.7265i | 0.165893 | + | 0.940827i | ||||
\(356\) | −4.88279 | − | 1.77719i | −0.258787 | − | 0.0941908i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.25133 | − | 35.4531i | 0.330393 | − | 1.87375i | ||||
\(359\) | 5.19615 | − | 9.00000i | 0.274242 | − | 0.475002i | −0.695701 | − | 0.718331i | \(-0.744906\pi\) |
0.969944 | + | 0.243329i | \(0.0782396\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.50000 | + | 12.9904i | 0.394737 | + | 0.683704i | ||||
\(362\) | 3.25519 | − | 1.18479i | 0.171089 | − | 0.0622713i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.53209 | + | 1.28558i | −0.0803033 | + | 0.0673825i | ||||
\(365\) | −9.28780 | + | 7.79339i | −0.486145 | + | 0.407924i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.7939 | + | 6.84040i | −0.981031 | + | 0.357066i | −0.782241 | − | 0.622976i | \(-0.785923\pi\) |
−0.198790 | + | 0.980042i | \(0.563701\pi\) | |||||||
\(368\) | −8.66025 | − | 15.0000i | −0.451447 | − | 0.781929i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.5000 | + | 18.1865i | −0.545869 | + | 0.945473i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.39693 | + | 3.42020i | 0.486554 | + | 0.177091i | 0.573637 | − | 0.819110i | \(-0.305532\pi\) |
−0.0870824 | + | 0.996201i | \(0.527754\pi\) | |||||||
\(374\) | 5.41381 | + | 30.7033i | 0.279942 | + | 1.58763i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −9.19253 | − | 7.71345i | −0.474069 | − | 0.397791i | ||||
\(377\) | 1.73205 | 0.0892052 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.0000 | −0.821865 | −0.410932 | − | 0.911666i | \(-0.634797\pi\) | ||||
−0.410932 | + | 0.911666i | \(0.634797\pi\) | |||||||
\(380\) | 2.65366 | + | 2.22668i | 0.136130 | + | 0.114226i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.20945 | + | 29.5442i | 0.266538 | + | 1.51161i | ||||
\(383\) | −16.2760 | − | 5.92396i | −0.831662 | − | 0.302700i | −0.109121 | − | 0.994028i | \(-0.534804\pi\) |
−0.722541 | + | 0.691328i | \(0.757026\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.08378 | − | 11.8177i | 0.106199 | − | 0.602285i | ||||
\(386\) | −0.866025 | + | 1.50000i | −0.0440795 | + | 0.0763480i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.00000 | − | 1.73205i | −0.0507673 | − | 0.0879316i | ||||
\(389\) | 26.0415 | − | 9.47834i | 1.32036 | − | 0.480571i | 0.416785 | − | 0.909005i | \(-0.363157\pi\) |
0.903573 | + | 0.428434i | \(0.140935\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13.7888 | − | 11.5702i | 0.697330 | − | 0.585129i | ||||
\(392\) | −3.98048 | + | 3.34002i | −0.201045 | + | 0.168697i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 8.45723 | − | 3.07818i | 0.426069 | − | 0.155077i | ||||
\(395\) | −1.73205 | − | 3.00000i | −0.0871489 | − | 0.150946i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.5000 | + | 25.1147i | −0.727734 | + | 1.26047i | 0.230105 | + | 0.973166i | \(0.426093\pi\) |
−0.957839 | + | 0.287307i | \(0.907240\pi\) | |||||||
\(398\) | −6.01535 | + | 34.1147i | −0.301522 | + | 1.71002i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.39693 | − | 3.42020i | −0.469846 | − | 0.171010i | ||||
\(401\) | 2.10537 | + | 11.9402i | 0.105137 | + | 0.596263i | 0.991165 | + | 0.132632i | \(0.0423427\pi\) |
−0.886028 | + | 0.463631i | \(0.846546\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.12836 | − | 5.14230i | −0.305275 | − | 0.256156i | ||||
\(404\) | −6.92820 | −0.344691 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | −18.5756 | − | 15.5868i | −0.920758 | − | 0.772608i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.29932 | − | 18.7113i | −0.163141 | − | 0.925217i | −0.950961 | − | 0.309311i | \(-0.899901\pi\) |
0.787820 | − | 0.615905i | \(-0.211210\pi\) | |||||||
\(410\) | 19.5311 | + | 7.10876i | 0.964574 | + | 0.351076i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.38919 | − | 7.87846i | 0.0684403 | − | 0.388144i | ||||
\(413\) | 13.8564 | − | 24.0000i | 0.681829 | − | 1.18096i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.0000 | − | 20.7846i | −0.589057 | − | 1.02028i | ||||
\(416\) | 4.88279 | − | 1.77719i | 0.239398 | − | 0.0871338i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −9.19253 | + | 7.71345i | −0.449622 | + | 0.377277i | ||||
\(419\) | 5.30731 | − | 4.45336i | 0.259279 | − | 0.217561i | −0.503877 | − | 0.863776i | \(-0.668093\pi\) |
0.763156 | + | 0.646215i | \(0.223649\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.4923 | − | 8.55050i | 1.14495 | − | 0.416726i | 0.301248 | − | 0.953546i | \(-0.402597\pi\) |
0.843697 | + | 0.536820i | \(0.180374\pi\) | |||||||
\(422\) | −8.66025 | − | 15.0000i | −0.421575 | − | 0.730189i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.80460 | − | 10.2344i | 0.0875362 | − | 0.496442i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 13.1557 | + | 4.78828i | 0.636649 | + | 0.231721i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.59627 | − | 3.85673i | −0.221652 | − | 0.185988i | ||||
\(431\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.0000 | 0.528626 | 0.264313 | − | 0.964437i | \(-0.414855\pi\) | ||||
0.264313 | + | 0.964437i | \(0.414855\pi\) | |||||||
\(434\) | −21.2292 | − | 17.8135i | −1.01904 | − | 0.855073i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.91013 | + | 10.8329i | 0.0914786 | + | 0.518801i | ||||
\(437\) | 6.51038 | + | 2.36959i | 0.311434 | + | 0.113353i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.47296 | − | 19.6962i | 0.165756 | − | 0.940046i | −0.782527 | − | 0.622617i | \(-0.786069\pi\) |
0.948282 | − | 0.317429i | \(-0.102820\pi\) | |||||||
\(440\) | −5.19615 | + | 9.00000i | −0.247717 | + | 0.429058i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.50000 | + | 7.79423i | 0.214043 | + | 0.370734i | ||||
\(443\) | −32.5519 | + | 11.8479i | −1.54659 | + | 0.562912i | −0.967614 | − | 0.252434i | \(-0.918769\pi\) |
−0.578974 | + | 0.815346i | \(0.696547\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.89440 | − | 5.78509i | 0.326826 | − | 0.274239i | ||||
\(446\) | −2.65366 | + | 2.22668i | −0.125654 | + | 0.105436i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.87939 | + | 0.684040i | −0.0887926 | + | 0.0323179i | ||||
\(449\) | 10.3923 | + | 18.0000i | 0.490443 | + | 0.849473i | 0.999939 | − | 0.0110003i | \(-0.00350158\pi\) |
−0.509496 | + | 0.860473i | \(0.670168\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.0000 | + | 20.7846i | −0.565058 | + | 0.978709i | ||||
\(452\) | 0.300767 | − | 1.70574i | 0.0141469 | − | 0.0802311i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.63816 | + | 2.05212i | 0.264612 | + | 0.0963108i | ||||
\(455\) | −0.601535 | − | 3.41147i | −0.0282004 | − | 0.159932i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 22.2153 | + | 18.6408i | 1.03919 | + | 0.871982i | 0.991915 | − | 0.126900i | \(-0.0405028\pi\) |
0.0472719 | + | 0.998882i | \(0.484947\pi\) | |||||||
\(458\) | 1.73205 | 0.0809334 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.00000 | −0.279751 | ||||||||
\(461\) | 10.6146 | + | 8.90673i | 0.494372 | + | 0.414828i | 0.855590 | − | 0.517654i | \(-0.173194\pi\) |
−0.361218 | + | 0.932481i | \(0.617639\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.38919 | + | 7.87846i | 0.0645609 | + | 0.366143i | 0.999922 | + | 0.0124502i | \(0.00396312\pi\) |
−0.935362 | + | 0.353693i | \(0.884926\pi\) | |||||||
\(464\) | −8.13798 | − | 2.96198i | −0.377796 | − | 0.137507i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.81417 | + | 44.3163i | −0.361984 | + | 2.05292i | ||||
\(467\) | −10.3923 | + | 18.0000i | −0.480899 | + | 0.832941i | −0.999760 | − | 0.0219178i | \(-0.993023\pi\) |
0.518861 | + | 0.854858i | \(0.326356\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.0000 | + | 17.3205i | 0.461757 | + | 0.799787i | ||||
\(470\) | −19.5311 | + | 7.10876i | −0.900905 | + | 0.327902i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −18.3851 | + | 15.4269i | −0.846241 | + | 0.710081i | ||||
\(473\) | 5.30731 | − | 4.45336i | 0.244030 | − | 0.204766i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.75877 | − | 1.36808i | 0.172464 | − | 0.0627718i | ||||
\(476\) | 5.19615 | + | 9.00000i | 0.238165 | + | 0.412514i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 24.0000 | − | 41.5692i | 1.09773 | − | 1.90133i | ||||
\(479\) | 4.21074 | − | 23.8803i | 0.192394 | − | 1.09112i | −0.723688 | − | 0.690128i | \(-0.757554\pi\) |
0.916082 | − | 0.400992i | \(-0.131334\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.57785 | − | 2.39414i | −0.299924 | − | 0.109163i | ||||
\(482\) | −8.72226 | − | 49.4664i | −0.397288 | − | 2.25313i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.766044 | + | 0.642788i | 0.0348202 | + | 0.0292176i | ||||
\(485\) | 3.46410 | 0.157297 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.0000 | −0.725029 | −0.362515 | − | 0.931978i | \(-0.618082\pi\) | ||||
−0.362515 | + | 0.931978i | \(0.618082\pi\) | |||||||
\(488\) | −9.28780 | − | 7.79339i | −0.420439 | − | 0.352790i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.56283 | + | 8.86327i | 0.0706016 | + | 0.400402i | ||||
\(491\) | −16.2760 | − | 5.92396i | −0.734524 | − | 0.267345i | −0.0524452 | − | 0.998624i | \(-0.516701\pi\) |
−0.682078 | + | 0.731279i | \(0.738924\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.56283 | − | 8.86327i | 0.0703865 | − | 0.399182i | ||||
\(494\) | −1.73205 | + | 3.00000i | −0.0779287 | + | 0.134976i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.0000 | + | 34.6410i | 0.898027 | + | 1.55543i | ||||
\(497\) | −19.5311 | + | 7.10876i | −0.876092 | + | 0.318871i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.66044 | + | 6.42788i | −0.342929 | + | 0.287751i | −0.797943 | − | 0.602733i | \(-0.794079\pi\) |
0.455015 | + | 0.890484i | \(0.349634\pi\) | |||||||
\(500\) | −9.28780 | + | 7.79339i | −0.415363 | + | 0.348531i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −16.9145 | + | 6.15636i | −0.754930 | + | 0.274772i | ||||
\(503\) | 10.3923 | + | 18.0000i | 0.463370 | + | 0.802580i | 0.999126 | − | 0.0417923i | \(-0.0133068\pi\) |
−0.535756 | + | 0.844373i | \(0.679973\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.00000 | − | 10.3923i | 0.266996 | − | 0.462451i | ||||
\(506\) | 3.60921 | − | 20.4688i | 0.160449 | − | 0.909951i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.87939 | − | 0.684040i | −0.0833842 | − | 0.0303494i | ||||
\(509\) | 4.81228 | + | 27.2918i | 0.213301 | + | 1.20969i | 0.883831 | + | 0.467806i | \(0.154955\pi\) |
−0.670531 | + | 0.741882i | \(0.733934\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.7246 | − | 8.99903i | −0.474429 | − | 0.398093i | ||||
\(512\) | −8.66025 | −0.382733 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.0000 | 0.661622 | ||||||||
\(515\) | 10.6146 | + | 8.90673i | 0.467736 | + | 0.392477i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.16756 | − | 23.6354i | −0.183289 | − | 1.03948i | ||||
\(518\) | −22.7863 | − | 8.29355i | −1.00117 | − | 0.364398i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.520945 | + | 2.95442i | −0.0228449 | + | 0.129560i | ||||
\(521\) | −10.3923 | + | 18.0000i | −0.455295 | + | 0.788594i | −0.998705 | − | 0.0508731i | \(-0.983800\pi\) |
0.543410 | + | 0.839467i | \(0.317133\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −19.0000 | − | 32.9090i | −0.830812 | − | 1.43901i | −0.897395 | − | 0.441228i | \(-0.854543\pi\) |
0.0665832 | − | 0.997781i | \(-0.478790\pi\) | |||||||
\(524\) | 3.25519 | − | 1.18479i | 0.142204 | − | 0.0517579i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.19253 | − | 7.71345i | 0.400813 | − | 0.336322i | ||||
\(527\) | −31.8439 | + | 26.7202i | −1.38714 | + | 1.16395i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.3366 | − | 3.76222i | 0.449418 | − | 0.163575i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.00000 | + | 3.46410i | −0.0867110 | + | 0.150188i | ||||
\(533\) | −1.20307 | + | 6.82295i | −0.0521107 | + | 0.295535i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.00767 | − | 17.0574i | −0.129912 | − | 0.736766i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −20.6832 | − | 17.3553i | −0.891716 | − | 0.748239i | ||||
\(539\) | −10.3923 | −0.447628 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.0000 | 0.472927 | 0.236463 | − | 0.971640i | \(-0.424012\pi\) | ||||
0.236463 | + | 0.971640i | \(0.424012\pi\) | |||||||
\(542\) | −2.65366 | − | 2.22668i | −0.113984 | − | 0.0956442i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.68850 | − | 26.5898i | −0.201018 | − | 1.14003i | ||||
\(545\) | −17.9035 | − | 6.51636i | −0.766904 | − | 0.279130i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.47296 | − | 19.6962i | 0.148493 | − | 0.842147i | −0.816003 | − | 0.578048i | \(-0.803815\pi\) |
0.964496 | − | 0.264098i | \(-0.0850744\pi\) | |||||||
\(548\) | 0.866025 | − | 1.50000i | 0.0369948 | − | 0.0640768i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.00000 | − | 10.3923i | −0.255841 | − | 0.443129i | ||||
\(551\) | 3.25519 | − | 1.18479i | 0.138676 | − | 0.0504739i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.06418 | − | 2.57115i | 0.130302 | − | 0.109336i | ||||
\(554\) | −2.65366 | + | 2.22668i | −0.112743 | + | 0.0946026i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.51754 | + | 2.73616i | −0.318815 | + | 0.116039i | ||||
\(557\) | 18.1865 | + | 31.5000i | 0.770588 | + | 1.33470i | 0.937241 | + | 0.348682i | \(0.113371\pi\) |
−0.166653 | + | 0.986016i | \(0.553296\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.00000 | − | 1.73205i | 0.0422955 | − | 0.0732579i | ||||
\(560\) | −3.00767 | + | 17.0574i | −0.127097 | + | 0.720805i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −19.7335 | − | 7.18242i | −0.832409 | − | 0.302972i | ||||
\(563\) | −6.01535 | − | 34.1147i | −0.253517 | − | 1.43776i | −0.799851 | − | 0.600198i | \(-0.795088\pi\) |
0.546335 | − | 0.837567i | \(-0.316023\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.29813 | + | 1.92836i | 0.0966832 | + | 0.0811268i | ||||
\(566\) | 48.4974 | 2.03850 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 18.0000 | 0.755263 | ||||||||
\(569\) | −25.2097 | − | 21.1535i | −1.05685 | − | 0.886800i | −0.0630500 | − | 0.998010i | \(-0.520083\pi\) |
−0.993797 | + | 0.111211i | \(0.964527\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.38919 | + | 7.87846i | 0.0581356 | + | 0.329703i | 0.999980 | − | 0.00634631i | \(-0.00202011\pi\) |
−0.941844 | + | 0.336050i | \(0.890909\pi\) | |||||||
\(572\) | 3.25519 | + | 1.18479i | 0.136106 | + | 0.0495387i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.16756 | + | 23.6354i | −0.173950 | + | 0.986522i | ||||
\(575\) | −3.46410 | + | 6.00000i | −0.144463 | + | 0.250217i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.50000 | − | 9.52628i | −0.228968 | − | 0.396584i | 0.728535 | − | 0.685009i | \(-0.240202\pi\) |
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | 16.2760 | − | 5.92396i | 0.676990 | − | 0.246404i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.29813 | + | 1.92836i | −0.0954248 | + | 0.0800709i | ||||
\(581\) | 21.2292 | − | 17.8135i | 0.880738 | − | 0.739027i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 6.06218 | + | 10.5000i | 0.250855 | + | 0.434493i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −16.5000 | + | 28.5788i | −0.681609 | + | 1.18058i | ||||
\(587\) | −6.61688 | + | 37.5262i | −0.273108 | + | 1.54887i | 0.471800 | + | 0.881706i | \(0.343604\pi\) |
−0.744908 | + | 0.667167i | \(0.767507\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.0351 | − | 5.47232i | −0.619510 | − | 0.225483i | ||||
\(590\) | 7.21842 | + | 40.9377i | 0.297178 | + | 1.68538i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 26.8116 | + | 22.4976i | 1.10195 | + | 0.924644i | ||||
\(593\) | −15.5885 | −0.640141 | −0.320071 | − | 0.947394i | \(-0.603707\pi\) | ||||
−0.320071 | + | 0.947394i | \(0.603707\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.0000 | −0.737928 | ||||||||
\(596\) | −6.63414 | − | 5.56670i | −0.271745 | − | 0.228021i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.04189 | − | 5.90885i | −0.0426060 | − | 0.241631i | ||||
\(599\) | 13.0208 | + | 4.73917i | 0.532014 | + | 0.193637i | 0.594037 | − | 0.804437i | \(-0.297533\pi\) |
−0.0620234 | + | 0.998075i | \(0.519755\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.34120 | + | 24.6202i | −0.177081 | + | 1.00428i | 0.758632 | + | 0.651519i | \(0.225868\pi\) |
−0.935714 | + | 0.352760i | \(0.885243\pi\) | |||||||
\(602\) | 3.46410 | − | 6.00000i | 0.141186 | − | 0.244542i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0000 | − | 17.3205i | −0.406894 | − | 0.704761i | ||||
\(605\) | −1.62760 | + | 0.592396i | −0.0661712 | + | 0.0240843i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.9172 | − | 16.7125i | 0.808412 | − | 0.678339i | −0.141816 | − | 0.989893i | \(-0.545294\pi\) |
0.950228 | + | 0.311555i | \(0.100850\pi\) | |||||||
\(608\) | 7.96097 | − | 6.68004i | 0.322860 | − | 0.270912i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −19.7335 | + | 7.18242i | −0.798988 | + | 0.290808i | ||||
\(611\) | −3.46410 | − | 6.00000i | −0.140143 | − | 0.242734i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 17.0000 | − | 29.4449i | 0.686624 | − | 1.18927i | −0.286300 | − | 0.958140i | \(-0.592425\pi\) |
0.972924 | − | 0.231127i | \(-0.0742412\pi\) | |||||||
\(614\) | 4.81228 | − | 27.2918i | 0.194208 | − | 1.10141i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.2763 | − | 4.10424i | −0.454336 | − | 0.165365i | ||||
\(617\) | 2.10537 | + | 11.9402i | 0.0847591 | + | 0.480693i | 0.997408 | + | 0.0719490i | \(0.0229219\pi\) |
−0.912649 | + | 0.408744i | \(0.865967\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.3209 | + | 12.8558i | 0.615799 | + | 0.516716i | 0.896480 | − | 0.443085i | \(-0.146116\pi\) |
−0.280681 | + | 0.959801i | \(0.590560\pi\) | |||||||
\(620\) | 13.8564 | 0.556487 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.0000 | −0.481156 | ||||||||
\(623\) | 7.96097 | + | 6.68004i | 0.318949 | + | 0.267630i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.91013 | − | 10.8329i | −0.0764052 | − | 0.433315i | ||||
\(626\) | −40.6899 | − | 14.8099i | −1.62629 | − | 0.591923i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.95202 | − | 16.7417i | 0.117798 | − | 0.668068i | ||||
\(629\) | −18.1865 | + | 31.5000i | −0.725145 | + | 1.25599i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.0000 | − | 17.3205i | −0.398094 | − | 0.689519i | 0.595397 | − | 0.803432i | \(-0.296995\pi\) |
−0.993491 | + | 0.113913i | \(0.963661\pi\) | |||||||
\(632\) | −3.25519 | + | 1.18479i | −0.129485 | + | 0.0471285i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.4907 | + | 9.64181i | −0.456353 | + | 0.382925i | ||||
\(635\) | 2.65366 | − | 2.22668i | 0.105307 | − | 0.0883632i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.81908 | + | 1.02606i | −0.111696 | + | 0.0406540i | ||||
\(638\) | −5.19615 | − | 9.00000i | −0.205718 | − | 0.356313i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.5000 | − | 18.1865i | 0.415049 | − | 0.718886i | ||||
\(641\) | −3.90998 | + | 22.1746i | −0.154435 | + | 0.875843i | 0.804866 | + | 0.593457i | \(0.202237\pi\) |
−0.959301 | + | 0.282387i | \(0.908874\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.51754 | − | 2.73616i | −0.296463 | − | 0.107904i | 0.189507 | − | 0.981879i | \(-0.439311\pi\) |
−0.485969 | + | 0.873976i | \(0.661533\pi\) | |||||||
\(644\) | −1.20307 | − | 6.82295i | −0.0474076 | − | 0.268862i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 13.7888 | + | 11.5702i | 0.542513 | + | 0.455223i | ||||
\(647\) | 31.1769 | 1.22569 | 0.612845 | − | 0.790203i | \(-0.290025\pi\) | ||||
0.612845 | + | 0.790203i | \(0.290025\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −48.0000 | −1.88416 | ||||||||
\(650\) | −2.65366 | − | 2.22668i | −0.104085 | − | 0.0873376i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.77837 | − | 15.7569i | −0.108809 | − | 0.617089i | ||||
\(653\) | 13.0208 | + | 4.73917i | 0.509542 | + | 0.185458i | 0.583981 | − | 0.811768i | \(-0.301494\pi\) |
−0.0744389 | + | 0.997226i | \(0.523717\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.04189 | + | 5.90885i | −0.0407100 | + | 0.230878i | ||||
\(656\) | 17.3205 | − | 30.0000i | 0.676252 | − | 1.17130i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.0000 | − | 20.7846i | −0.467809 | − | 0.810268i | ||||
\(659\) | −3.25519 | + | 1.18479i | −0.126804 | + | 0.0461530i | −0.404643 | − | 0.914475i | \(-0.632604\pi\) |
0.277839 | + | 0.960628i | \(0.410382\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.0228 | − | 10.9274i | 0.506526 | − | 0.425026i | −0.353378 | − | 0.935480i | \(-0.614967\pi\) |
0.859905 | + | 0.510454i | \(0.170523\pi\) | |||||||
\(662\) | −2.65366 | + | 2.22668i | −0.103137 | + | 0.0865424i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −22.5526 | + | 8.20848i | −0.875212 | + | 0.318551i | ||||
\(665\) | −3.46410 | − | 6.00000i | −0.134332 | − | 0.232670i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.00000 | + | 5.19615i | −0.116160 | + | 0.201196i | ||||
\(668\) | 3.00767 | − | 17.0574i | 0.116370 | − | 0.659969i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −28.1908 | − | 10.2606i | −1.08910 | − | 0.396402i | ||||
\(671\) | −4.21074 | − | 23.8803i | −0.162554 | − | 0.921889i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.1511 | − | 16.0697i | −0.738221 | − | 0.619441i | 0.194138 | − | 0.980974i | \(-0.437809\pi\) |
−0.932359 | + | 0.361533i | \(0.882253\pi\) | |||||||
\(674\) | −45.0333 | −1.73462 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.0000 | −0.461538 | ||||||||
\(677\) | 10.6146 | + | 8.90673i | 0.407953 | + | 0.342313i | 0.823558 | − | 0.567232i | \(-0.191986\pi\) |
−0.415605 | + | 0.909545i | \(0.636430\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.694593 | + | 3.93923i | 0.0266560 | + | 0.151174i | ||||
\(680\) | 14.6484 | + | 5.33157i | 0.561739 | + | 0.204456i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.33511 | + | 47.2708i | −0.319168 | + | 1.81009i | ||||
\(683\) | −10.3923 | + | 18.0000i | −0.397650 | + | 0.688751i | −0.993436 | − | 0.114393i | \(-0.963508\pi\) |
0.595785 | + | 0.803144i | \(0.296841\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.50000 | + | 2.59808i | 0.0573121 | + | 0.0992674i | ||||
\(686\) | −32.5519 | + | 11.8479i | −1.24284 | + | 0.452356i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −7.66044 | + | 6.42788i | −0.292052 | + | 0.245060i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.87939 | + | 0.684040i | −0.0714952 | + | 0.0260221i | −0.377520 | − | 0.926001i | \(-0.623223\pi\) |
0.306025 | + | 0.952023i | \(0.401001\pi\) | |||||||
\(692\) | −9.52628 | − | 16.5000i | −0.362135 | − | 0.627236i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.00000 | + | 5.19615i | −0.113878 | + | 0.197243i | ||||
\(695\) | 2.40614 | − | 13.6459i | 0.0912701 | − | 0.517618i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 33.8289 | + | 12.3127i | 1.28136 | + | 0.466378i | ||||
\(698\) | −0.601535 | − | 3.41147i | −0.0227684 | − | 0.129126i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.06418 | − | 2.57115i | −0.115815 | − | 0.0971804i | ||||
\(701\) | −46.7654 | −1.76630 | −0.883152 | − | 0.469087i | \(-0.844583\pi\) | ||||
−0.883152 | + | 0.469087i | \(0.844583\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.0000 | −0.528020 | ||||||||
\(704\) | 2.65366 | + | 2.22668i | 0.100013 | + | 0.0839212i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.16756 | − | 23.6354i | −0.156848 | − | 0.889529i | ||||
\(707\) | 13.0208 | + | 4.73917i | 0.489696 | + | 0.178235i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.34120 | + | 24.6202i | −0.163037 | + | 0.924631i | 0.788028 | + | 0.615640i | \(0.211102\pi\) |
−0.951065 | + | 0.308991i | \(0.900009\pi\) | |||||||
\(710\) | 15.5885 | − | 27.0000i | 0.585024 | − | 1.01329i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.50000 | − | 7.79423i | −0.168645 | − | 0.292101i | ||||
\(713\) | 26.0415 | − | 9.47834i | 0.975263 | − | 0.354967i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.59627 | + | 3.85673i | −0.171891 | + | 0.144233i | ||||
\(716\) | −15.9219 | + | 13.3601i | −0.595031 | + | 0.499290i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −16.9145 | + | 6.15636i | −0.631242 | + | 0.229753i | ||||
\(719\) | −5.19615 | − | 9.00000i | −0.193784 | − | 0.335643i | 0.752717 | − | 0.658344i | \(-0.228743\pi\) |
−0.946501 | + | 0.322700i | \(0.895409\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.00000 | + | 13.8564i | −0.297936 | + | 0.516040i | ||||
\(722\) | 4.51151 | − | 25.5861i | 0.167901 | − | 0.952214i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.87939 | − | 0.684040i | −0.0698468 | − | 0.0254222i | ||||
\(725\) | 0.601535 | + | 3.41147i | 0.0223404 | + | 0.126699i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −26.0455 | − | 21.8548i | −0.965975 | − | 0.810549i | 0.0159401 | − | 0.999873i | \(-0.494926\pi\) |
−0.981915 | + | 0.189324i | \(0.939370\pi\) | |||||||
\(728\) | −3.46410 | −0.128388 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 21.0000 | 0.777245 | ||||||||
\(731\) | −7.96097 | − | 6.68004i | −0.294447 | − | 0.247070i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.98782 | − | 45.3012i | −0.295037 | − | 1.67324i | −0.667053 | − | 0.745010i | \(-0.732445\pi\) |
0.372016 | − | 0.928226i | \(-0.378667\pi\) | |||||||
\(734\) | 32.5519 | + | 11.8479i | 1.20151 | + | 0.437315i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.12567 | + | 17.7265i | −0.115214 | + | 0.653409i | ||||
\(737\) | 17.3205 | − | 30.0000i | 0.638009 | − | 1.10506i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.0000 | − | 17.3205i | −0.367856 | − | 0.637145i | 0.621374 | − | 0.783514i | \(-0.286575\pi\) |
−0.989230 | + | 0.146369i | \(0.953241\pi\) | |||||||
\(740\) | 11.3932 | − | 4.14677i | 0.418821 | − | 0.152438i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.30731 | − | 4.45336i | 0.194706 | − | 0.163378i | −0.540223 | − | 0.841522i | \(-0.681660\pi\) |
0.734929 | + | 0.678144i | \(0.237215\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 14.0954 | − | 5.13030i | 0.516415 | − | 0.187960i | ||||
\(746\) | −8.66025 | − | 15.0000i | −0.317074 | − | 0.549189i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.00000 | − | 15.5885i | 0.329073 | − | 0.569970i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.39693 | + | 3.42020i | 0.342899 | + | 0.124805i | 0.507729 | − | 0.861517i | \(-0.330485\pi\) |
−0.164830 | + | 0.986322i | \(0.552708\pi\) | |||||||
\(752\) | 6.01535 | + | 34.1147i | 0.219357 | + | 1.24404i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.29813 | − | 1.92836i | −0.0836931 | − | 0.0702268i | ||||
\(755\) | 34.6410 | 1.26072 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.00000 | 0.0726912 | 0.0363456 | − | 0.999339i | \(-0.488428\pi\) | ||||
0.0363456 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(758\) | 21.2292 | + | 17.8135i | 0.771081 | + | 0.647014i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.04189 | + | 5.90885i | 0.0377933 | + | 0.214336i | ||||
\(761\) | 27.6691 | + | 10.0707i | 1.00300 | + | 0.365064i | 0.790743 | − | 0.612149i | \(-0.209695\pi\) |
0.212262 | + | 0.977213i | \(0.431917\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.82026 | − | 21.6658i | 0.138303 | − | 0.784354i | ||||
\(764\) | 8.66025 | − | 15.0000i | 0.313317 | − | 0.542681i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.0000 | + | 25.9808i | 0.541972 | + | 0.938723i | ||||
\(767\) | −13.0208 | + | 4.73917i | −0.470152 | + | 0.171122i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.766044 | + | 0.642788i | −0.0276243 | + | 0.0231795i | −0.656495 | − | 0.754330i | \(-0.727962\pi\) |
0.628871 | + | 0.777510i | \(0.283517\pi\) | |||||||
\(770\) | −15.9219 | + | 13.3601i | −0.573787 | + | 0.481464i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.939693 | − | 0.342020i | 0.0338203 | − | 0.0123096i | ||||
\(773\) | −12.9904 | − | 22.5000i | −0.467232 | − | 0.809269i | 0.532068 | − | 0.846702i | \(-0.321415\pi\) |
−0.999299 | + | 0.0374331i | \(0.988082\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.00000 | − | 13.8564i | 0.287368 | − | 0.497737i | ||||
\(776\) | 0.601535 | − | 3.41147i | 0.0215938 | − | 0.122465i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −45.1052 | − | 16.4170i | −1.61710 | − | 0.588577i | ||||
\(779\) | 2.40614 | + | 13.6459i | 0.0862089 | + | 0.488915i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 27.5776 | + | 23.1404i | 0.986804 | + | 0.828027i | ||||
\(782\) | −31.1769 | −1.11488 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 15.0000 | 0.535714 | ||||||||
\(785\) | 22.5561 | + | 18.9268i | 0.805061 | + | 0.675526i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.51485 | + | 25.6050i | 0.160937 | + | 0.912720i | 0.953155 | + | 0.302482i | \(0.0978151\pi\) |
−0.792218 | + | 0.610238i | \(0.791074\pi\) | |||||||
\(788\) | −4.88279 | − | 1.77719i | −0.173942 | − | 0.0633097i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.04189 | + | 5.90885i | −0.0370687 | + | 0.210227i | ||||
\(791\) | −1.73205 | + | 3.00000i | −0.0615846 | + | 0.106668i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.50000 | − | 6.06218i | −0.124289 | − | 0.215274i | ||||
\(794\) | 47.2003 | − | 17.1795i | 1.67507 | − | 0.609677i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 15.3209 | − | 12.8558i | 0.543035 | − | 0.455660i | ||||
\(797\) | 41.1317 | − | 34.5136i | 1.45696 | − | 1.22253i | 0.529660 | − | 0.848210i | \(-0.322320\pi\) |
0.927298 | − | 0.374323i | \(-0.122125\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −33.8289 | + | 12.3127i | −1.19678 | + | 0.435593i | ||||
\(800\) | 5.19615 | + | 9.00000i | 0.183712 | + | 0.318198i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 10.5000 | − | 18.1865i | 0.370768 | − | 0.642189i | ||||
\(803\) | −4.21074 | + | 23.8803i | −0.148594 | + | 0.842718i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.2763 | + | 4.10424i | 0.397438 | + | 0.144656i | ||||
\(806\) | 2.40614 | + | 13.6459i | 0.0847527 | + | 0.480656i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.19253 | − | 7.71345i | −0.323392 | − | 0.271358i | ||||
\(809\) | 46.7654 | 1.64418 | 0.822091 | − | 0.569355i | \(-0.192807\pi\) | ||||
0.822091 | + | 0.569355i | \(0.192807\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −16.0000 | −0.561836 | −0.280918 | − | 0.959732i | \(-0.590639\pi\) | ||||
−0.280918 | + | 0.959732i | \(0.590639\pi\) | |||||||
\(812\) | −2.65366 | − | 2.22668i | −0.0931251 | − | 0.0781412i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 7.29322 | + | 41.3619i | 0.255627 | + | 1.44973i | ||||
\(815\) | 26.0415 | + | 9.47834i | 0.912195 | + | 0.332012i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.694593 | − | 3.93923i | 0.0243007 | − | 0.137816i | ||||
\(818\) | −16.4545 | + | 28.5000i | −0.575317 | + | 0.996479i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.00000 | − | 10.3923i | −0.209529 | − | 0.362915i | ||||
\(821\) | 11.3932 | − | 4.14677i | 0.397624 | − | 0.144723i | −0.135466 | − | 0.990782i | \(-0.543253\pi\) |
0.533090 | + | 0.846059i | \(0.321031\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.4492 | + | 17.9981i | −0.747674 | + | 0.627373i | −0.934887 | − | 0.354947i | \(-0.884499\pi\) |
0.187213 | + | 0.982319i | \(0.440055\pi\) | |||||||
\(824\) | 10.6146 | − | 8.90673i | 0.369778 | − | 0.310281i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −45.1052 | + | 16.4170i | −1.56941 | + | 0.571219i | ||||
\(827\) | −5.19615 | − | 9.00000i | −0.180688 | − | 0.312961i | 0.761427 | − | 0.648251i | \(-0.224499\pi\) |
−0.942115 | + | 0.335290i | \(0.891166\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.00000 | + | 1.73205i | −0.0347314 | + | 0.0601566i | −0.882869 | − | 0.469620i | \(-0.844391\pi\) |
0.848137 | + | 0.529777i | \(0.177724\pi\) | |||||||
\(830\) | −7.21842 | + | 40.9377i | −0.250555 | + | 1.42097i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.939693 | + | 0.342020i | 0.0325780 | + | 0.0118574i | ||||
\(833\) | 2.70691 | + | 15.3516i | 0.0937888 | + | 0.531903i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 22.9813 | + | 19.2836i | 0.795302 | + | 0.667337i | ||||
\(836\) | 6.92820 | 0.239617 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −12.0000 | −0.414533 | ||||||||
\(839\) | 34.4975 | + | 28.9469i | 1.19099 | + | 0.999357i | 0.999842 | + | 0.0177948i | \(0.00566457\pi\) |
0.191145 | + | 0.981562i | \(0.438780\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.51485 | − | 25.6050i | −0.155685 | − | 0.882931i | ||||
\(842\) | −40.6899 | − | 14.8099i | −1.40227 | − | 0.510383i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.73648 | + | 9.84808i | −0.0597722 | + | 0.338985i | ||||
\(845\) | 10.3923 | − | 18.0000i | 0.357506 | − | 0.619219i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.00000 | − | 1.73205i | −0.0343604 | − | 0.0595140i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −13.7888 | + | 11.5702i | −0.472952 | + | 0.396854i | ||||
\(851\) | 18.5756 | − | 15.5868i | 0.636763 | − | 0.534308i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 31.9495 | − | 11.6287i | 1.09393 | − | 0.398159i | 0.268856 | − | 0.963180i | \(-0.413354\pi\) |
0.825076 | + | 0.565022i | \(0.191132\pi\) | |||||||
\(854\) | −12.1244 | − | 21.0000i | −0.414887 | − | 0.718605i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −3.90998 | + | 22.1746i | −0.133562 | + | 0.757469i | 0.842288 | + | 0.539028i | \(0.181208\pi\) |
−0.975850 | + | 0.218441i | \(0.929903\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −41.3465 | − | 15.0489i | −1.41072 | − | 0.513461i | −0.479381 | − | 0.877607i | \(-0.659139\pi\) |
−0.931342 | + | 0.364145i | \(0.881361\pi\) | |||||||
\(860\) | 0.601535 | + | 3.41147i | 0.0205122 | + | 0.116330i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −31.1769 | −1.06127 | −0.530637 | − | 0.847599i | \(-0.678047\pi\) | ||||
−0.530637 | + | 0.847599i | \(0.678047\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.0000 | 1.12203 | ||||||||
\(866\) | −14.5951 | − | 12.2467i | −0.495962 | − | 0.416161i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.77837 | + | 15.7569i | 0.0943041 | + | 0.534825i | ||||
\(869\) | −6.51038 | − | 2.36959i | −0.220850 | − | 0.0803827i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.73648 | − | 9.84808i | 0.0588384 | − | 0.333689i | ||||
\(872\) | −9.52628 | + | 16.5000i | −0.322601 | + | 0.558761i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −6.00000 | − | 10.3923i | −0.202953 | − | 0.351525i | ||||
\(875\) | 22.7863 | − | 8.29355i | 0.770319 | − | 0.280373i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 40.6004 | − | 34.0677i | 1.37098 | − | 1.15039i | 0.398558 | − | 0.917143i | \(-0.369511\pi\) |
0.972419 | − | 0.233243i | \(-0.0749337\pi\) | |||||||
\(878\) | −26.5366 | + | 22.2668i | −0.895565 | + | 0.751469i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 28.1908 | − | 10.2606i | 0.950311 | − | 0.345885i | ||||
\(881\) | 10.3923 | + | 18.0000i | 0.350126 | + | 0.606435i | 0.986271 | − | 0.165134i | \(-0.0528056\pi\) |
−0.636146 | + | 0.771569i | \(0.719472\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.0000 | + | 48.4974i | −0.942275 | + | 1.63207i | −0.181158 | + | 0.983454i | \(0.557984\pi\) |
−0.761117 | + | 0.648614i | \(0.775349\pi\) | |||||||
\(884\) | 0.902302 | − | 5.11721i | 0.0303477 | − | 0.172110i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 56.3816 | + | 20.5212i | 1.89418 | + | 0.689423i | ||||
\(887\) | −0.601535 | − | 3.41147i | −0.0201976 | − | 0.114546i | 0.973042 | − | 0.230627i | \(-0.0740778\pi\) |
−0.993240 | + | 0.116081i | \(0.962967\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.06418 | + | 2.57115i | 0.102769 | + | 0.0862336i | ||||
\(890\) | −15.5885 | −0.522526 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.00000 | 0.0669650 | ||||||||
\(893\) | −10.6146 | − | 8.90673i | −0.355205 | − | 0.298052i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.25133 | − | 35.4531i | −0.208959 | − | 1.18507i | ||||
\(896\) | 22.7863 | + | 8.29355i | 0.761238 | + | 0.277068i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.25133 | − | 35.4531i | 0.208610 | − | 1.18308i | ||||
\(899\) | 6.92820 | − | 12.0000i | 0.231069 | − | 0.400222i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 39.0623 | − | 14.2175i | 1.30063 | − | 0.473391i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.29813 | − | 1.92836i | 0.0764348 | − | 0.0641364i | ||||
\(905\) | 2.65366 | − | 2.22668i | 0.0882105 | − | 0.0740174i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 48.8640 | − | 17.7850i | 1.62250 | − | 0.590543i | 0.638646 | − | 0.769500i | \(-0.279495\pi\) |
0.983857 | + | 0.178958i | \(0.0572725\pi\) | |||||||
\(908\) | −1.73205 | − | 3.00000i | −0.0574801 | − | 0.0995585i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.00000 | + | 5.19615i | −0.0994490 | + | 0.172251i | ||||
\(911\) | 4.21074 | − | 23.8803i | 0.139508 | − | 0.791190i | −0.832106 | − | 0.554617i | \(-0.812865\pi\) |
0.971614 | − | 0.236573i | \(-0.0760242\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −45.1052 | − | 16.4170i | −1.49277 | − | 0.543322i | ||||
\(914\) | −8.72226 | − | 49.4664i | −0.288507 | − | 1.63620i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.766044 | − | 0.642788i | −0.0253108 | − | 0.0212383i | ||||
\(917\) | −6.92820 | −0.228789 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.00000 | 0.0659739 | 0.0329870 | − | 0.999456i | \(-0.489498\pi\) | ||||
0.0329870 | + | 0.999456i | \(0.489498\pi\) | |||||||
\(920\) | −7.96097 | − | 6.68004i | −0.262465 | − | 0.220235i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −4.16756 | − | 23.6354i | −0.137251 | − | 0.778390i | ||||
\(923\) | 9.76557 | + | 3.55438i | 0.321438 | + | 0.116994i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.43107 | − | 13.7873i | 0.0799332 | − | 0.453324i | ||||
\(926\) | 6.92820 | − | 12.0000i | 0.227675 | − | 0.394344i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.50000 | + | 7.79423i | 0.147720 | + | 0.255858i | ||||
\(929\) | −47.2003 | + | 17.1795i | −1.54859 | + | 0.563641i | −0.968086 | − | 0.250617i | \(-0.919367\pi\) |
−0.580504 | + | 0.814257i | \(0.697144\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.59627 | + | 3.85673i | −0.150637 | + | 0.126399i | ||||
\(932\) | 19.9024 | − | 16.7001i | 0.651925 | − | 0.547030i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 33.8289 | − | 12.3127i | 1.10692 | − | 0.402885i | ||||
\(935\) | 15.5885 | + | 27.0000i | 0.509797 | + | 0.882994i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.5000 | − | 21.6506i | 0.408357 | − | 0.707295i | −0.586349 | − | 0.810059i | \(-0.699435\pi\) |
0.994706 | + | 0.102763i | \(0.0327685\pi\) | |||||||
\(938\) | 6.01535 | − | 34.1147i | 0.196408 | − | 1.11389i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 11.2763 | + | 4.10424i | 0.367793 | + | 0.133866i | ||||
\(941\) | −8.72226 | − | 49.4664i | −0.284337 | − | 1.61256i | −0.707643 | − | 0.706571i | \(-0.750241\pi\) |
0.423305 | − | 0.905987i | \(-0.360870\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.3851 | − | 15.4269i | −0.598700 | − | 0.502369i | ||||
\(944\) | 69.2820 | 2.25494 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.0000 | −0.390154 | ||||||||
\(947\) | −13.2683 | − | 11.1334i | −0.431161 | − | 0.361787i | 0.401229 | − | 0.915978i | \(-0.368583\pi\) |
−0.832390 | + | 0.554191i | \(0.813028\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.21554 | + | 6.89365i | 0.0394580 | + | 0.223777i | ||||
\(950\) | −6.51038 | − | 2.36959i | −0.211225 | − | 0.0768795i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.12567 | + | 17.7265i | −0.101303 | + | 0.574520i | ||||
\(953\) | −2.59808 | + | 4.50000i | −0.0841599 | + | 0.145769i | −0.905033 | − | 0.425341i | \(-0.860154\pi\) |
0.820873 | + | 0.571111i | \(0.193487\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.0000 | + | 25.9808i | 0.485389 | + | 0.840718i | ||||
\(956\) | −26.0415 | + | 9.47834i | −0.842243 | + | 0.306551i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −32.1739 | + | 26.9971i | −1.03949 | + | 0.872236i | ||||
\(959\) | −2.65366 | + | 2.22668i | −0.0856910 | + | 0.0719033i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −31.0099 | + | 11.2867i | −1.00032 | + | 0.364086i | ||||
\(962\) | 6.06218 | + | 10.5000i | 0.195452 | + | 0.338534i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.5000 | + | 25.1147i | −0.467014 | + | 0.808891i | ||||
\(965\) | −0.300767 | + | 1.70574i | −0.00968205 | + | 0.0549096i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 43.2259 | + | 15.7329i | 1.39005 | + | 0.505937i | 0.925209 | − | 0.379457i | \(-0.123889\pi\) |
0.464841 | + | 0.885394i | \(0.346112\pi\) | |||||||
\(968\) | 0.300767 | + | 1.70574i | 0.00966703 | + | 0.0548245i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.59627 | − | 3.85673i | −0.147577 | − | 0.123832i | ||||
\(971\) | −31.1769 | −1.00051 | −0.500257 | − | 0.865877i | \(-0.666761\pi\) | ||||
−0.500257 | + | 0.865877i | \(0.666761\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 16.0000 | 0.512936 | ||||||||
\(974\) | 21.2292 | + | 17.8135i | 0.680229 | + | 0.570780i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 6.07769 | + | 34.4683i | 0.194542 | + | 1.10330i | ||||
\(977\) | −45.5727 | − | 16.5871i | −1.45800 | − | 0.530668i | −0.513186 | − | 0.858278i | \(-0.671535\pi\) |
−0.944813 | + | 0.327609i | \(0.893757\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.12567 | − | 17.7265i | 0.0998968 | − | 0.566543i | ||||
\(980\) | 2.59808 | − | 4.50000i | 0.0829925 | − | 0.143747i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 15.0000 | + | 25.9808i | 0.478669 | + | 0.829079i | ||||
\(983\) | −32.5519 | + | 11.8479i | −1.03824 | + | 0.377890i | −0.804214 | − | 0.594339i | \(-0.797414\pi\) |
−0.234030 | + | 0.972229i | \(0.575191\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.89440 | − | 5.78509i | 0.219674 | − | 0.184328i | ||||
\(986\) | −11.9415 | + | 10.0201i | −0.380293 | + | 0.319104i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.87939 | − | 0.684040i | 0.0597912 | − | 0.0217622i | ||||
\(989\) | 3.46410 | + | 6.00000i | 0.110152 | + | 0.190789i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.0000 | − | 29.4449i | 0.540023 | − | 0.935347i | −0.458879 | − | 0.888499i | \(-0.651749\pi\) |
0.998902 | − | 0.0468483i | \(-0.0149177\pi\) | |||||||
\(992\) | 7.21842 | − | 40.9377i | 0.229185 | − | 1.29977i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 33.8289 | + | 12.3127i | 1.07299 | + | 0.390536i | ||||
\(995\) | 6.01535 | + | 34.1147i | 0.190699 | + | 1.08151i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.36231 | − | 4.49951i | −0.169826 | − | 0.142501i | 0.553913 | − | 0.832574i | \(-0.313134\pi\) |
−0.723740 | + | 0.690073i | \(0.757578\pi\) | |||||||
\(998\) | 17.3205 | 0.548271 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))