Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 99.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.99 |
Dual form | 722.2.e.i.423.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | − | 0.342020i | −0.664463 | − | 0.241845i | ||||
\(3\) | −0.173648 | − | 0.984808i | −0.100256 | − | 0.568579i | −0.993010 | − | 0.118034i | \(-0.962341\pi\) |
0.892754 | − | 0.450545i | \(-0.148770\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0 | 0 | −0.642788 | − | 0.766044i | \(-0.722222\pi\) | ||||
0.642788 | + | 0.766044i | \(0.277778\pi\) | |||||||
\(6\) | −0.173648 | + | 0.984808i | −0.0708916 | + | 0.402046i | ||||
\(7\) | 2.00000 | − | 3.46410i | 0.755929 | − | 1.30931i | −0.188982 | − | 0.981981i | \(-0.560519\pi\) |
0.944911 | − | 0.327327i | \(-0.106148\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 1.87939 | − | 0.684040i | 0.626462 | − | 0.228013i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | − | 2.59808i | −0.452267 | − | 0.783349i | 0.546259 | − | 0.837616i | \(-0.316051\pi\) |
−0.998526 | + | 0.0542666i | \(0.982718\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −0.347296 | + | 1.96962i | −0.0963227 | + | 0.546273i | 0.898011 | + | 0.439972i | \(0.145012\pi\) |
−0.994334 | + | 0.106301i | \(0.966099\pi\) | |||||||
\(14\) | −3.06418 | + | 2.57115i | −0.818936 | + | 0.687169i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 5.63816 | + | 2.05212i | 1.36745 | + | 0.497712i | 0.918351 | − | 0.395768i | \(-0.129521\pi\) |
0.449103 | + | 0.893480i | \(0.351744\pi\) | |||||||
\(18\) | −2.00000 | −0.471405 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.75877 | − | 1.36808i | −0.820231 | − | 0.298540i | ||||
\(22\) | 0.520945 | + | 2.95442i | 0.111066 | + | 0.629885i | ||||
\(23\) | −4.59627 | − | 3.85673i | −0.958388 | − | 0.804183i | 0.0223022 | − | 0.999751i | \(-0.492900\pi\) |
−0.980690 | + | 0.195568i | \(0.937345\pi\) | |||||||
\(24\) | −0.766044 | + | 0.642788i | −0.156368 | + | 0.131208i | ||||
\(25\) | −0.868241 | + | 4.92404i | −0.173648 | + | 0.984808i | ||||
\(26\) | 1.00000 | − | 1.73205i | 0.196116 | − | 0.339683i | ||||
\(27\) | −2.50000 | − | 4.33013i | −0.481125 | − | 0.833333i | ||||
\(28\) | 3.75877 | − | 1.36808i | 0.710341 | − | 0.258543i | ||||
\(29\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.00000 | − | 1.73205i | 0.179605 | − | 0.311086i | −0.762140 | − | 0.647412i | \(-0.775851\pi\) |
0.941745 | + | 0.336327i | \(0.109185\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | −2.29813 | + | 1.92836i | −0.400054 | + | 0.335685i | ||||
\(34\) | −4.59627 | − | 3.85673i | −0.788253 | − | 0.661423i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.87939 | + | 0.684040i | 0.313231 | + | 0.114007i | ||||
\(37\) | 10.0000 | 1.64399 | 0.821995 | − | 0.569495i | \(-0.192861\pi\) | ||||
0.821995 | + | 0.569495i | \(0.192861\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.00000 | 0.320256 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.56283 | − | 8.86327i | −0.244074 | − | 1.38421i | −0.822634 | − | 0.568571i | \(-0.807497\pi\) |
0.578561 | − | 0.815639i | \(-0.303615\pi\) | |||||||
\(42\) | 3.06418 | + | 2.57115i | 0.472813 | + | 0.396737i | ||||
\(43\) | −3.06418 | + | 2.57115i | −0.467283 | + | 0.392097i | −0.845802 | − | 0.533497i | \(-0.820878\pi\) |
0.378520 | + | 0.925593i | \(0.376433\pi\) | |||||||
\(44\) | 0.520945 | − | 2.95442i | 0.0785353 | − | 0.445396i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.00000 | + | 5.19615i | 0.442326 | + | 0.766131i | ||||
\(47\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(48\) | 0.939693 | − | 0.342020i | 0.135633 | − | 0.0493664i | ||||
\(49\) | −4.50000 | − | 7.79423i | −0.642857 | − | 1.11346i | ||||
\(50\) | 2.50000 | − | 4.33013i | 0.353553 | − | 0.612372i | ||||
\(51\) | 1.04189 | − | 5.90885i | 0.145894 | − | 0.827404i | ||||
\(52\) | −1.53209 | + | 1.28558i | −0.212463 | + | 0.178277i | ||||
\(53\) | −4.59627 | − | 3.85673i | −0.631346 | − | 0.529762i | 0.270001 | − | 0.962860i | \(-0.412976\pi\) |
−0.901347 | + | 0.433098i | \(0.857420\pi\) | |||||||
\(54\) | 0.868241 | + | 4.92404i | 0.118153 | + | 0.670077i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.00000 | −0.534522 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −8.45723 | − | 3.07818i | −1.10104 | − | 0.400745i | −0.273339 | − | 0.961918i | \(-0.588128\pi\) |
−0.827699 | + | 0.561173i | \(0.810350\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.06418 | − | 2.57115i | −0.392328 | − | 0.329202i | 0.425191 | − | 0.905103i | \(-0.360207\pi\) |
−0.817519 | + | 0.575901i | \(0.804651\pi\) | |||||||
\(62\) | −1.53209 | + | 1.28558i | −0.194575 | + | 0.163268i | ||||
\(63\) | 1.38919 | − | 7.87846i | 0.175021 | − | 0.992593i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.81908 | − | 1.02606i | 0.347004 | − | 0.126299i | ||||
\(67\) | −6.57785 | + | 2.39414i | −0.803612 | + | 0.292491i | −0.710982 | − | 0.703210i | \(-0.751749\pi\) |
−0.0926296 | + | 0.995701i | \(0.529527\pi\) | |||||||
\(68\) | 3.00000 | + | 5.19615i | 0.363803 | + | 0.630126i | ||||
\(69\) | −3.00000 | + | 5.19615i | −0.361158 | + | 0.625543i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.59627 | − | 3.85673i | 0.545476 | − | 0.457709i | −0.327929 | − | 0.944702i | \(-0.606351\pi\) |
0.873406 | + | 0.486993i | \(0.161906\pi\) | |||||||
\(72\) | −1.53209 | − | 1.28558i | −0.180558 | − | 0.151506i | ||||
\(73\) | −0.173648 | − | 0.984808i | −0.0203240 | − | 0.115263i | 0.972958 | − | 0.230982i | \(-0.0741939\pi\) |
−0.993282 | + | 0.115719i | \(0.963083\pi\) | |||||||
\(74\) | −9.39693 | − | 3.42020i | −1.09237 | − | 0.397590i | ||||
\(75\) | 5.00000 | 0.577350 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −12.0000 | −1.36753 | ||||||||
\(78\) | −1.87939 | − | 0.684040i | −0.212798 | − | 0.0774523i | ||||
\(79\) | 0.694593 | + | 3.93923i | 0.0781478 | + | 0.443198i | 0.998626 | + | 0.0524041i | \(0.0166884\pi\) |
−0.920478 | + | 0.390794i | \(0.872200\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.766044 | − | 0.642788i | 0.0851160 | − | 0.0714208i | ||||
\(82\) | −1.56283 | + | 8.86327i | −0.172586 | + | 0.978784i | ||||
\(83\) | −1.50000 | + | 2.59808i | −0.164646 | + | 0.285176i | −0.936530 | − | 0.350588i | \(-0.885982\pi\) |
0.771883 | + | 0.635764i | \(0.219315\pi\) | |||||||
\(84\) | −2.00000 | − | 3.46410i | −0.218218 | − | 0.377964i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 3.75877 | − | 1.36808i | 0.405319 | − | 0.147524i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.50000 | + | 2.59808i | −0.159901 | + | 0.276956i | ||||
\(89\) | −1.04189 | + | 5.90885i | −0.110440 | + | 0.626336i | 0.878467 | + | 0.477803i | \(0.158567\pi\) |
−0.988907 | + | 0.148534i | \(0.952545\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.12836 | + | 5.14230i | 0.642426 | + | 0.539060i | ||||
\(92\) | −1.04189 | − | 5.90885i | −0.108624 | − | 0.616040i | ||||
\(93\) | −1.87939 | − | 0.684040i | −0.194883 | − | 0.0709317i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 15.9748 | + | 5.81434i | 1.62199 | + | 0.590357i | 0.983760 | − | 0.179487i | \(-0.0574437\pi\) |
0.638232 | + | 0.769844i | \(0.279666\pi\) | |||||||
\(98\) | 1.56283 | + | 8.86327i | 0.157870 | + | 0.895325i | ||||
\(99\) | −4.59627 | − | 3.85673i | −0.461942 | − | 0.387616i | ||||
\(100\) | −3.83022 | + | 3.21394i | −0.383022 | + | 0.321394i | ||||
\(101\) | 0 | 0 | −0.984808 | − | 0.173648i | \(-0.944444\pi\) | ||||
0.984808 | + | 0.173648i | \(0.0555556\pi\) | |||||||
\(102\) | −3.00000 | + | 5.19615i | −0.297044 | + | 0.514496i | ||||
\(103\) | 1.00000 | + | 1.73205i | 0.0985329 | + | 0.170664i | 0.911078 | − | 0.412235i | \(-0.135252\pi\) |
−0.812545 | + | 0.582899i | \(0.801918\pi\) | |||||||
\(104\) | 1.87939 | − | 0.684040i | 0.184289 | − | 0.0670757i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.00000 | + | 5.19615i | 0.291386 | + | 0.504695i | ||||
\(107\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(108\) | 0.868241 | − | 4.92404i | 0.0835465 | − | 0.473816i | ||||
\(109\) | 12.2567 | − | 10.2846i | 1.17398 | − | 0.985086i | 0.173980 | − | 0.984749i | \(-0.444337\pi\) |
1.00000 | 0.000337014i | \(-0.000107275\pi\) | ||||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.73648 | − | 9.84808i | −0.164820 | − | 0.934738i | ||||
\(112\) | 3.75877 | + | 1.36808i | 0.355170 | + | 0.129271i | ||||
\(113\) | −15.0000 | −1.41108 | −0.705541 | − | 0.708669i | \(-0.749296\pi\) | ||||
−0.705541 | + | 0.708669i | \(0.749296\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.694593 | + | 3.93923i | 0.0642151 | + | 0.364182i | ||||
\(118\) | 6.89440 | + | 5.78509i | 0.634681 | + | 0.532561i | ||||
\(119\) | 18.3851 | − | 15.4269i | 1.68536 | − | 1.41418i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | − | 1.73205i | 0.0909091 | − | 0.157459i | ||||
\(122\) | 2.00000 | + | 3.46410i | 0.181071 | + | 0.313625i | ||||
\(123\) | −8.45723 | + | 3.07818i | −0.762563 | + | 0.277550i | ||||
\(124\) | 1.87939 | − | 0.684040i | 0.168774 | − | 0.0614286i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −4.00000 | + | 6.92820i | −0.356348 | + | 0.617213i | ||||
\(127\) | −0.347296 | + | 1.96962i | −0.0308176 | + | 0.174775i | −0.996332 | − | 0.0855756i | \(-0.972727\pi\) |
0.965514 | + | 0.260351i | \(0.0838382\pi\) | |||||||
\(128\) | 0.766044 | − | 0.642788i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | 3.06418 | + | 2.57115i | 0.269786 | + | 0.226377i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.45723 | − | 3.07818i | −0.738912 | − | 0.268942i | −0.0549797 | − | 0.998487i | \(-0.517509\pi\) |
−0.683932 | + | 0.729546i | \(0.739732\pi\) | |||||||
\(132\) | −3.00000 | −0.261116 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 7.00000 | 0.604708 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.04189 | − | 5.90885i | −0.0893413 | − | 0.506679i | ||||
\(137\) | 6.89440 | + | 5.78509i | 0.589028 | + | 0.494253i | 0.887898 | − | 0.460040i | \(-0.152165\pi\) |
−0.298870 | + | 0.954294i | \(0.596610\pi\) | |||||||
\(138\) | 4.59627 | − | 3.85673i | 0.391260 | − | 0.328306i | ||||
\(139\) | 1.91013 | − | 10.8329i | 0.162015 | − | 0.918833i | −0.790074 | − | 0.613012i | \(-0.789958\pi\) |
0.952089 | − | 0.305822i | \(-0.0989311\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.63816 | + | 2.05212i | −0.473144 | + | 0.172210i | ||||
\(143\) | 5.63816 | − | 2.05212i | 0.471486 | − | 0.171607i | ||||
\(144\) | 1.00000 | + | 1.73205i | 0.0833333 | + | 0.144338i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.173648 | + | 0.984808i | −0.0143712 | + | 0.0815033i | ||||
\(147\) | −6.89440 | + | 5.78509i | −0.568641 | + | 0.477146i | ||||
\(148\) | 7.66044 | + | 6.42788i | 0.629685 | + | 0.528368i | ||||
\(149\) | 3.12567 | + | 17.7265i | 0.256065 | + | 1.45221i | 0.793325 | + | 0.608798i | \(0.208348\pi\) |
−0.537260 | + | 0.843416i | \(0.680541\pi\) | |||||||
\(150\) | −4.69846 | − | 1.71010i | −0.383628 | − | 0.139629i | ||||
\(151\) | 10.0000 | 0.813788 | 0.406894 | − | 0.913475i | \(-0.366612\pi\) | ||||
0.406894 | + | 0.913475i | \(0.366612\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 12.0000 | 0.970143 | ||||||||
\(154\) | 11.2763 | + | 4.10424i | 0.908671 | + | 0.330729i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.53209 | + | 1.28558i | 0.122665 | + | 0.102928i | ||||
\(157\) | −12.2567 | + | 10.2846i | −0.978192 | + | 0.820801i | −0.983816 | − | 0.179184i | \(-0.942654\pi\) |
0.00562361 | + | 0.999984i | \(0.498210\pi\) | |||||||
\(158\) | 0.694593 | − | 3.93923i | 0.0552588 | − | 0.313388i | ||||
\(159\) | −3.00000 | + | 5.19615i | −0.237915 | + | 0.412082i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −22.5526 | + | 8.20848i | −1.77740 | + | 0.646919i | ||||
\(162\) | −0.939693 | + | 0.342020i | −0.0738292 | + | 0.0268716i | ||||
\(163\) | 9.50000 | + | 16.4545i | 0.744097 | + | 1.28881i | 0.950615 | + | 0.310372i | \(0.100454\pi\) |
−0.206518 | + | 0.978443i | \(0.566213\pi\) | |||||||
\(164\) | 4.50000 | − | 7.79423i | 0.351391 | − | 0.608627i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.29813 | − | 1.92836i | 0.178370 | − | 0.149670i | ||||
\(167\) | 18.3851 | + | 15.4269i | 1.42268 | + | 1.19377i | 0.949886 | + | 0.312596i | \(0.101199\pi\) |
0.472793 | + | 0.881174i | \(0.343246\pi\) | |||||||
\(168\) | 0.694593 | + | 3.93923i | 0.0535890 | + | 0.303918i | ||||
\(169\) | 8.45723 | + | 3.07818i | 0.650556 | + | 0.236783i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.00000 | −0.304997 | ||||||||
\(173\) | 5.63816 | + | 2.05212i | 0.428661 | + | 0.156020i | 0.547335 | − | 0.836913i | \(-0.315642\pi\) |
−0.118674 | + | 0.992933i | \(0.537864\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 15.3209 | + | 12.8558i | 1.15815 | + | 0.971804i | ||||
\(176\) | 2.29813 | − | 1.92836i | 0.173228 | − | 0.145356i | ||||
\(177\) | −1.56283 | + | 8.86327i | −0.117470 | + | 0.666204i | ||||
\(178\) | 3.00000 | − | 5.19615i | 0.224860 | − | 0.389468i | ||||
\(179\) | 4.50000 | + | 7.79423i | 0.336346 | + | 0.582568i | 0.983742 | − | 0.179585i | \(-0.0574756\pi\) |
−0.647397 | + | 0.762153i | \(0.724142\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.87939 | − | 0.684040i | 0.139694 | − | 0.0508443i | −0.271227 | − | 0.962515i | \(-0.587429\pi\) |
0.410921 | + | 0.911671i | \(0.365207\pi\) | |||||||
\(182\) | −4.00000 | − | 6.92820i | −0.296500 | − | 0.513553i | ||||
\(183\) | −2.00000 | + | 3.46410i | −0.147844 | + | 0.256074i | ||||
\(184\) | −1.04189 | + | 5.90885i | −0.0768091 | + | 0.435606i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 1.53209 | + | 1.28558i | 0.112338 | + | 0.0942629i | ||||
\(187\) | −3.12567 | − | 17.7265i | −0.228571 | − | 1.29629i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −20.0000 | −1.45479 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | 0.939693 | + | 0.342020i | 0.0678165 | + | 0.0246832i | ||||
\(193\) | −0.347296 | − | 1.96962i | −0.0249989 | − | 0.141776i | 0.969754 | − | 0.244086i | \(-0.0784878\pi\) |
−0.994753 | + | 0.102310i | \(0.967377\pi\) | |||||||
\(194\) | −13.0228 | − | 10.9274i | −0.934979 | − | 0.784541i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.56283 | − | 8.86327i | 0.111631 | − | 0.633091i | ||||
\(197\) | −9.00000 | + | 15.5885i | −0.641223 | + | 1.11063i | 0.343937 | + | 0.938993i | \(0.388239\pi\) |
−0.985160 | + | 0.171639i | \(0.945094\pi\) | |||||||
\(198\) | 3.00000 | + | 5.19615i | 0.213201 | + | 0.369274i | ||||
\(199\) | 9.39693 | − | 3.42020i | 0.666130 | − | 0.242452i | 0.0132495 | − | 0.999912i | \(-0.495782\pi\) |
0.652881 | + | 0.757461i | \(0.273560\pi\) | |||||||
\(200\) | 4.69846 | − | 1.71010i | 0.332232 | − | 0.120922i | ||||
\(201\) | 3.50000 | + | 6.06218i | 0.246871 | + | 0.427593i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4.59627 | − | 3.85673i | 0.321803 | − | 0.270025i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.347296 | − | 1.96962i | −0.0241973 | − | 0.137230i | ||||
\(207\) | −11.2763 | − | 4.10424i | −0.783758 | − | 0.285265i | ||||
\(208\) | −2.00000 | −0.138675 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.7939 | + | 6.84040i | 1.29382 | + | 0.470913i | 0.894980 | − | 0.446107i | \(-0.147190\pi\) |
0.398842 | + | 0.917019i | \(0.369412\pi\) | |||||||
\(212\) | −1.04189 | − | 5.90885i | −0.0715572 | − | 0.405821i | ||||
\(213\) | −4.59627 | − | 3.85673i | −0.314931 | − | 0.264258i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.50000 | + | 4.33013i | −0.170103 | + | 0.294628i | ||||
\(217\) | −4.00000 | − | 6.92820i | −0.271538 | − | 0.470317i | ||||
\(218\) | −15.0351 | + | 5.47232i | −1.01830 | + | 0.370632i | ||||
\(219\) | −0.939693 | + | 0.342020i | −0.0634985 | + | 0.0231116i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.00000 | + | 10.3923i | −0.403604 | + | 0.699062i | ||||
\(222\) | −1.73648 | + | 9.84808i | −0.116545 | + | 0.660960i | ||||
\(223\) | −10.7246 | + | 8.99903i | −0.718174 | + | 0.602619i | −0.926879 | − | 0.375359i | \(-0.877519\pi\) |
0.208706 | + | 0.977979i | \(0.433075\pi\) | |||||||
\(224\) | −3.06418 | − | 2.57115i | −0.204734 | − | 0.171792i | ||||
\(225\) | 1.73648 | + | 9.84808i | 0.115765 | + | 0.656539i | ||||
\(226\) | 14.0954 | + | 5.13030i | 0.937611 | + | 0.341263i | ||||
\(227\) | −3.00000 | −0.199117 | −0.0995585 | − | 0.995032i | \(-0.531743\pi\) | ||||
−0.0995585 | + | 0.995032i | \(0.531743\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −16.0000 | −1.05731 | −0.528655 | − | 0.848837i | \(-0.677303\pi\) | ||||
−0.528655 | + | 0.848837i | \(0.677303\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.08378 | + | 11.8177i | 0.137103 | + | 0.777547i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.29813 | − | 1.92836i | 0.150556 | − | 0.126331i | −0.564399 | − | 0.825502i | \(-0.690892\pi\) |
0.714954 | + | 0.699171i | \(0.246447\pi\) | |||||||
\(234\) | 0.694593 | − | 3.93923i | 0.0454069 | − | 0.257516i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.50000 | − | 7.79423i | −0.292925 | − | 0.507361i | ||||
\(237\) | 3.75877 | − | 1.36808i | 0.244158 | − | 0.0888664i | ||||
\(238\) | −22.5526 | + | 8.20848i | −1.46187 | + | 0.532077i | ||||
\(239\) | 6.00000 | + | 10.3923i | 0.388108 | + | 0.672222i | 0.992195 | − | 0.124696i | \(-0.0397955\pi\) |
−0.604087 | + | 0.796918i | \(0.706462\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.868241 | + | 4.92404i | −0.0559283 | + | 0.317185i | −0.999918 | − | 0.0127891i | \(-0.995929\pi\) |
0.943990 | + | 0.329974i | \(0.107040\pi\) | |||||||
\(242\) | −1.53209 | + | 1.28558i | −0.0984864 | + | 0.0826399i | ||||
\(243\) | −12.2567 | − | 10.2846i | −0.786268 | − | 0.659758i | ||||
\(244\) | −0.694593 | − | 3.93923i | −0.0444667 | − | 0.252183i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.00000 | 0.573819 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −2.00000 | −0.127000 | ||||||||
\(249\) | 2.81908 | + | 1.02606i | 0.178652 | + | 0.0650239i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.29813 | − | 1.92836i | −0.145057 | − | 0.121717i | 0.567372 | − | 0.823462i | \(-0.307960\pi\) |
−0.712429 | + | 0.701745i | \(0.752405\pi\) | |||||||
\(252\) | 6.12836 | − | 5.14230i | 0.386050 | − | 0.323935i | ||||
\(253\) | −3.12567 | + | 17.7265i | −0.196509 | + | 1.11446i | ||||
\(254\) | 1.00000 | − | 1.73205i | 0.0627456 | − | 0.108679i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 2.81908 | − | 1.02606i | 0.175849 | − | 0.0640039i | −0.252595 | − | 0.967572i | \(-0.581284\pi\) |
0.428444 | + | 0.903568i | \(0.359062\pi\) | |||||||
\(258\) | −2.00000 | − | 3.46410i | −0.124515 | − | 0.215666i | ||||
\(259\) | 20.0000 | − | 34.6410i | 1.24274 | − | 2.15249i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.89440 | + | 5.78509i | 0.425937 | + | 0.357404i | ||||
\(263\) | −2.08378 | − | 11.8177i | −0.128491 | − | 0.728710i | −0.979173 | − | 0.203029i | \(-0.934922\pi\) |
0.850682 | − | 0.525681i | \(-0.176190\pi\) | |||||||
\(264\) | 2.81908 | + | 1.02606i | 0.173502 | + | 0.0631497i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.00000 | 0.367194 | ||||||||
\(268\) | −6.57785 | − | 2.39414i | −0.401806 | − | 0.146245i | ||||
\(269\) | −2.08378 | − | 11.8177i | −0.127050 | − | 0.720537i | −0.980069 | − | 0.198657i | \(-0.936342\pi\) |
0.853019 | − | 0.521880i | \(-0.174769\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.2567 | + | 10.2846i | −0.744542 | + | 0.624745i | −0.934053 | − | 0.357133i | \(-0.883754\pi\) |
0.189511 | + | 0.981879i | \(0.439310\pi\) | |||||||
\(272\) | −1.04189 | + | 5.90885i | −0.0631738 | + | 0.358276i | ||||
\(273\) | 4.00000 | − | 6.92820i | 0.242091 | − | 0.419314i | ||||
\(274\) | −4.50000 | − | 7.79423i | −0.271855 | − | 0.470867i | ||||
\(275\) | 14.0954 | − | 5.13030i | 0.849984 | − | 0.309369i | ||||
\(276\) | −5.63816 | + | 2.05212i | −0.339377 | + | 0.123523i | ||||
\(277\) | −4.00000 | − | 6.92820i | −0.240337 | − | 0.416275i | 0.720473 | − | 0.693482i | \(-0.243925\pi\) |
−0.960810 | + | 0.277207i | \(0.910591\pi\) | |||||||
\(278\) | −5.50000 | + | 9.52628i | −0.329868 | + | 0.571348i | ||||
\(279\) | 0.694593 | − | 3.93923i | 0.0415842 | − | 0.235836i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −20.6832 | − | 17.3553i | −1.23386 | − | 1.03533i | −0.997979 | − | 0.0635455i | \(-0.979759\pi\) |
−0.235877 | − | 0.971783i | \(-0.575796\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.69846 | − | 1.71010i | −0.279295 | − | 0.101655i | 0.198575 | − | 0.980086i | \(-0.436369\pi\) |
−0.477870 | + | 0.878431i | \(0.658591\pi\) | |||||||
\(284\) | 6.00000 | 0.356034 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | −0.354787 | ||||||||
\(287\) | −33.8289 | − | 12.3127i | −1.99686 | − | 0.726797i | ||||
\(288\) | −0.347296 | − | 1.96962i | −0.0204646 | − | 0.116061i | ||||
\(289\) | 14.5548 | + | 12.2130i | 0.856167 | + | 0.718410i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.95202 | − | 16.7417i | 0.173050 | − | 0.981418i | ||||
\(292\) | 0.500000 | − | 0.866025i | 0.0292603 | − | 0.0506803i | ||||
\(293\) | 12.0000 | + | 20.7846i | 0.701047 | + | 1.21425i | 0.968099 | + | 0.250568i | \(0.0806172\pi\) |
−0.267052 | + | 0.963682i | \(0.586049\pi\) | |||||||
\(294\) | 8.45723 | − | 3.07818i | 0.493236 | − | 0.179523i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −5.00000 | − | 8.66025i | −0.290619 | − | 0.503367i | ||||
\(297\) | −7.50000 | + | 12.9904i | −0.435194 | + | 0.753778i | ||||
\(298\) | 3.12567 | − | 17.7265i | 0.181065 | − | 1.02687i | ||||
\(299\) | 9.19253 | − | 7.71345i | 0.531618 | − | 0.446080i | ||||
\(300\) | 3.83022 | + | 3.21394i | 0.221138 | + | 0.185557i | ||||
\(301\) | 2.77837 | + | 15.7569i | 0.160143 | + | 0.908214i | ||||
\(302\) | −9.39693 | − | 3.42020i | −0.540732 | − | 0.196810i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −11.2763 | − | 4.10424i | −0.644624 | − | 0.234624i | ||||
\(307\) | 1.21554 | + | 6.89365i | 0.0693744 | + | 0.393442i | 0.999647 | + | 0.0265724i | \(0.00845925\pi\) |
−0.930273 | + | 0.366869i | \(0.880430\pi\) | |||||||
\(308\) | −9.19253 | − | 7.71345i | −0.523793 | − | 0.439515i | ||||
\(309\) | 1.53209 | − | 1.28558i | 0.0871575 | − | 0.0731338i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 15.0000 | − | 25.9808i | 0.850572 | − | 1.47323i | −0.0301210 | − | 0.999546i | \(-0.509589\pi\) |
0.880693 | − | 0.473688i | \(-0.157077\pi\) | |||||||
\(312\) | −1.00000 | − | 1.73205i | −0.0566139 | − | 0.0980581i | ||||
\(313\) | 17.8542 | − | 6.49838i | 1.00918 | − | 0.367310i | 0.216060 | − | 0.976380i | \(-0.430679\pi\) |
0.793117 | + | 0.609070i | \(0.208457\pi\) | |||||||
\(314\) | 15.0351 | − | 5.47232i | 0.848479 | − | 0.308821i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.00000 | + | 3.46410i | −0.112509 | + | 0.194871i | ||||
\(317\) | 3.12567 | − | 17.7265i | 0.175555 | − | 0.995622i | −0.761946 | − | 0.647640i | \(-0.775756\pi\) |
0.937501 | − | 0.347982i | \(-0.113133\pi\) | |||||||
\(318\) | 4.59627 | − | 3.85673i | 0.257746 | − | 0.216274i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 24.0000 | 1.33747 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −9.39693 | − | 3.42020i | −0.521248 | − | 0.189719i | ||||
\(326\) | −3.29932 | − | 18.7113i | −0.182732 | − | 1.03633i | ||||
\(327\) | −12.2567 | − | 10.2846i | −0.677798 | − | 0.568740i | ||||
\(328\) | −6.89440 | + | 5.78509i | −0.380680 | + | 0.319428i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.50000 | + | 4.33013i | 0.137412 | + | 0.238005i | 0.926516 | − | 0.376254i | \(-0.122788\pi\) |
−0.789104 | + | 0.614260i | \(0.789455\pi\) | |||||||
\(332\) | −2.81908 | + | 1.02606i | −0.154717 | + | 0.0563124i | ||||
\(333\) | 18.7939 | − | 6.84040i | 1.02990 | − | 0.374852i | ||||
\(334\) | −12.0000 | − | 20.7846i | −0.656611 | − | 1.13728i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.694593 | − | 3.93923i | 0.0378931 | − | 0.214903i | ||||
\(337\) | −8.42649 | + | 7.07066i | −0.459020 | + | 0.385164i | −0.842770 | − | 0.538273i | \(-0.819077\pi\) |
0.383750 | + | 0.923437i | \(0.374632\pi\) | |||||||
\(338\) | −6.89440 | − | 5.78509i | −0.375006 | − | 0.314667i | ||||
\(339\) | 2.60472 | + | 14.7721i | 0.141469 | + | 0.802311i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.00000 | −0.324918 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.00000 | −0.431959 | ||||||||
\(344\) | 3.75877 | + | 1.36808i | 0.202659 | + | 0.0737620i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.59627 | − | 3.85673i | −0.247097 | − | 0.207339i | ||||
\(347\) | −6.89440 | + | 5.78509i | −0.370111 | + | 0.310560i | −0.808805 | − | 0.588076i | \(-0.799885\pi\) |
0.438695 | + | 0.898636i | \(0.355441\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.00000 | − | 3.46410i | 0.107058 | − | 0.185429i | −0.807519 | − | 0.589841i | \(-0.799190\pi\) |
0.914577 | + | 0.404412i | \(0.132524\pi\) | |||||||
\(350\) | −10.0000 | − | 17.3205i | −0.534522 | − | 0.925820i | ||||
\(351\) | 9.39693 | − | 3.42020i | 0.501571 | − | 0.182557i | ||||
\(352\) | −2.81908 | + | 1.02606i | −0.150257 | + | 0.0546892i | ||||
\(353\) | −1.50000 | − | 2.59808i | −0.0798369 | − | 0.138282i | 0.823343 | − | 0.567545i | \(-0.192107\pi\) |
−0.903179 | + | 0.429263i | \(0.858773\pi\) | |||||||
\(354\) | 4.50000 | − | 7.79423i | 0.239172 | − | 0.414259i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −4.59627 | + | 3.85673i | −0.243602 | + | 0.204406i | ||||
\(357\) | −18.3851 | − | 15.4269i | −0.973041 | − | 0.816478i | ||||
\(358\) | −1.56283 | − | 8.86327i | −0.0825983 | − | 0.468438i | ||||
\(359\) | 5.63816 | + | 2.05212i | 0.297570 | + | 0.108307i | 0.486491 | − | 0.873686i | \(-0.338277\pi\) |
−0.188921 | + | 0.981992i | \(0.560499\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −2.00000 | −0.105118 | ||||||||
\(363\) | −1.87939 | − | 0.684040i | −0.0986421 | − | 0.0359028i | ||||
\(364\) | 1.38919 | + | 7.87846i | 0.0728131 | + | 0.412944i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 3.06418 | − | 2.57115i | 0.160167 | − | 0.134396i | ||||
\(367\) | −3.82026 | + | 21.6658i | −0.199416 | + | 1.13094i | 0.706572 | + | 0.707641i | \(0.250241\pi\) |
−0.905988 | + | 0.423303i | \(0.860871\pi\) | |||||||
\(368\) | 3.00000 | − | 5.19615i | 0.156386 | − | 0.270868i | ||||
\(369\) | −9.00000 | − | 15.5885i | −0.468521 | − | 0.811503i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −22.5526 | + | 8.20848i | −1.17087 | + | 0.426163i | ||||
\(372\) | −1.00000 | − | 1.73205i | −0.0518476 | − | 0.0898027i | ||||
\(373\) | −2.00000 | + | 3.46410i | −0.103556 | + | 0.179364i | −0.913147 | − | 0.407630i | \(-0.866355\pi\) |
0.809591 | + | 0.586994i | \(0.199689\pi\) | |||||||
\(374\) | −3.12567 | + | 17.7265i | −0.161624 | + | 0.916618i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 18.7939 | + | 6.84040i | 0.966651 | + | 0.351832i | ||||
\(379\) | 28.0000 | 1.43826 | 0.719132 | − | 0.694874i | \(-0.244540\pi\) | ||||
0.719132 | + | 0.694874i | \(0.244540\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.00000 | 0.102463 | ||||||||
\(382\) | −11.2763 | − | 4.10424i | −0.576946 | − | 0.209991i | ||||
\(383\) | 6.25133 | + | 35.4531i | 0.319428 | + | 1.81157i | 0.546240 | + | 0.837629i | \(0.316059\pi\) |
−0.226811 | + | 0.973939i | \(0.572830\pi\) | |||||||
\(384\) | −0.766044 | − | 0.642788i | −0.0390920 | − | 0.0328021i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −0.347296 | + | 1.96962i | −0.0176769 | + | 0.100251i | ||||
\(387\) | −4.00000 | + | 6.92820i | −0.203331 | + | 0.352180i | ||||
\(388\) | 8.50000 | + | 14.7224i | 0.431522 | + | 0.747418i | ||||
\(389\) | 33.8289 | − | 12.3127i | 1.71520 | − | 0.624280i | 0.717789 | − | 0.696261i | \(-0.245154\pi\) |
0.997406 | + | 0.0719807i | \(0.0229320\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.0000 | − | 31.1769i | −0.910299 | − | 1.57668i | ||||
\(392\) | −4.50000 | + | 7.79423i | −0.227284 | + | 0.393668i | ||||
\(393\) | −1.56283 | + | 8.86327i | −0.0788345 | + | 0.447093i | ||||
\(394\) | 13.7888 | − | 11.5702i | 0.694670 | − | 0.582897i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.04189 | − | 5.90885i | −0.0523569 | − | 0.296931i | ||||
\(397\) | 9.39693 | + | 3.42020i | 0.471618 | + | 0.171655i | 0.566885 | − | 0.823797i | \(-0.308148\pi\) |
−0.0952671 | + | 0.995452i | \(0.530371\pi\) | |||||||
\(398\) | −10.0000 | −0.501255 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | −0.250000 | ||||||||
\(401\) | −25.3717 | − | 9.23454i | −1.26700 | − | 0.461151i | −0.380889 | − | 0.924621i | \(-0.624382\pi\) |
−0.886113 | + | 0.463469i | \(0.846604\pi\) | |||||||
\(402\) | −1.21554 | − | 6.89365i | −0.0606255 | − | 0.343824i | ||||
\(403\) | 3.06418 | + | 2.57115i | 0.152638 | + | 0.128078i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.0000 | − | 25.9808i | −0.743522 | − | 1.28782i | ||||
\(408\) | −5.63816 | + | 2.05212i | −0.279130 | + | 0.101595i | ||||
\(409\) | 4.69846 | − | 1.71010i | 0.232324 | − | 0.0845590i | −0.223235 | − | 0.974765i | \(-0.571662\pi\) |
0.455559 | + | 0.890206i | \(0.349439\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.50000 | − | 7.79423i | 0.221969 | − | 0.384461i | ||||
\(412\) | −0.347296 | + | 1.96962i | −0.0171101 | + | 0.0970360i | ||||
\(413\) | −27.5776 | + | 23.1404i | −1.35700 | + | 1.13866i | ||||
\(414\) | 9.19253 | + | 7.71345i | 0.451788 | + | 0.379095i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.87939 | + | 0.684040i | 0.0921444 | + | 0.0335378i | ||||
\(417\) | −11.0000 | −0.538672 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.73648 | + | 9.84808i | 0.0846309 | + | 0.479966i | 0.997436 | + | 0.0715695i | \(0.0228008\pi\) |
−0.912805 | + | 0.408396i | \(0.866088\pi\) | |||||||
\(422\) | −15.3209 | − | 12.8558i | −0.745809 | − | 0.625808i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.04189 | + | 5.90885i | −0.0505986 | + | 0.286959i | ||||
\(425\) | −15.0000 | + | 25.9808i | −0.727607 | + | 1.26025i | ||||
\(426\) | 3.00000 | + | 5.19615i | 0.145350 | + | 0.251754i | ||||
\(427\) | −15.0351 | + | 5.47232i | −0.727599 | + | 0.264824i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.00000 | − | 5.19615i | −0.144841 | − | 0.250873i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.20945 | − | 29.5442i | 0.250930 | − | 1.42310i | −0.555377 | − | 0.831599i | \(-0.687426\pi\) |
0.806307 | − | 0.591497i | \(-0.201463\pi\) | |||||||
\(432\) | 3.83022 | − | 3.21394i | 0.184282 | − | 0.154631i | ||||
\(433\) | −19.9172 | − | 16.7125i | −0.957157 | − | 0.803150i | 0.0233309 | − | 0.999728i | \(-0.492573\pi\) |
−0.980488 | + | 0.196577i | \(0.937017\pi\) | |||||||
\(434\) | 1.38919 | + | 7.87846i | 0.0666830 | + | 0.378178i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 16.0000 | 0.766261 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.00000 | 0.0477818 | ||||||||
\(439\) | 13.1557 | + | 4.78828i | 0.627887 | + | 0.228532i | 0.636311 | − | 0.771432i | \(-0.280459\pi\) |
−0.00842428 | + | 0.999965i | \(0.502682\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −13.7888 | − | 11.5702i | −0.656610 | − | 0.550961i | ||||
\(442\) | 9.19253 | − | 7.71345i | 0.437244 | − | 0.366891i | ||||
\(443\) | 1.56283 | − | 8.86327i | 0.0742525 | − | 0.421107i | −0.924910 | − | 0.380186i | \(-0.875860\pi\) |
0.999162 | − | 0.0409204i | \(-0.0130290\pi\) | |||||||
\(444\) | 5.00000 | − | 8.66025i | 0.237289 | − | 0.410997i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 13.1557 | − | 4.78828i | 0.622940 | − | 0.226732i | ||||
\(447\) | 16.9145 | − | 6.15636i | 0.800027 | − | 0.291186i | ||||
\(448\) | 2.00000 | + | 3.46410i | 0.0944911 | + | 0.163663i | ||||
\(449\) | 4.50000 | − | 7.79423i | 0.212368 | − | 0.367832i | −0.740087 | − | 0.672511i | \(-0.765216\pi\) |
0.952455 | + | 0.304679i | \(0.0985491\pi\) | |||||||
\(450\) | 1.73648 | − | 9.84808i | 0.0818585 | − | 0.464243i | ||||
\(451\) | −20.6832 | + | 17.3553i | −0.973934 | + | 0.817228i | ||||
\(452\) | −11.4907 | − | 9.64181i | −0.540475 | − | 0.453513i | ||||
\(453\) | −1.73648 | − | 9.84808i | −0.0815870 | − | 0.462703i | ||||
\(454\) | 2.81908 | + | 1.02606i | 0.132306 | + | 0.0481554i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.00000 | 0.233890 | 0.116945 | − | 0.993138i | \(-0.462690\pi\) | ||||
0.116945 | + | 0.993138i | \(0.462690\pi\) | |||||||
\(458\) | 15.0351 | + | 5.47232i | 0.702543 | + | 0.255705i | ||||
\(459\) | −5.20945 | − | 29.5442i | −0.243156 | − | 1.37901i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.59627 | − | 3.85673i | 0.214069 | − | 0.179626i | −0.529447 | − | 0.848343i | \(-0.677601\pi\) |
0.743517 | + | 0.668717i | \(0.233156\pi\) | |||||||
\(462\) | 2.08378 | − | 11.8177i | 0.0969461 | − | 0.549809i | ||||
\(463\) | 17.0000 | − | 29.4449i | 0.790057 | − | 1.36842i | −0.135874 | − | 0.990726i | \(-0.543384\pi\) |
0.925931 | − | 0.377693i | \(-0.123282\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.81908 | + | 1.02606i | −0.130591 | + | 0.0475313i | ||||
\(467\) | 13.5000 | + | 23.3827i | 0.624705 | + | 1.08202i | 0.988598 | + | 0.150581i | \(0.0481143\pi\) |
−0.363892 | + | 0.931441i | \(0.618552\pi\) | |||||||
\(468\) | −2.00000 | + | 3.46410i | −0.0924500 | + | 0.160128i | ||||
\(469\) | −4.86215 | + | 27.5746i | −0.224513 | + | 1.27328i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 12.2567 | + | 10.2846i | 0.564759 | + | 0.473889i | ||||
\(472\) | 1.56283 | + | 8.86327i | 0.0719352 | + | 0.407965i | ||||
\(473\) | 11.2763 | + | 4.10424i | 0.518485 | + | 0.188713i | ||||
\(474\) | −4.00000 | −0.183726 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 24.0000 | 1.10004 | ||||||||
\(477\) | −11.2763 | − | 4.10424i | −0.516307 | − | 0.187920i | ||||
\(478\) | −2.08378 | − | 11.8177i | −0.0953098 | − | 0.540529i | ||||
\(479\) | 27.5776 | + | 23.1404i | 1.26005 | + | 1.05731i | 0.995676 | + | 0.0928902i | \(0.0296105\pi\) |
0.264376 | + | 0.964420i | \(0.414834\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.47296 | + | 19.6962i | −0.158354 | + | 0.898067i | ||||
\(482\) | 2.50000 | − | 4.33013i | 0.113872 | − | 0.197232i | ||||
\(483\) | 12.0000 | + | 20.7846i | 0.546019 | + | 0.945732i | ||||
\(484\) | 1.87939 | − | 0.684040i | 0.0854266 | − | 0.0310927i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 8.00000 | + | 13.8564i | 0.362887 | + | 0.628539i | ||||
\(487\) | 1.00000 | − | 1.73205i | 0.0453143 | − | 0.0784867i | −0.842479 | − | 0.538730i | \(-0.818904\pi\) |
0.887793 | + | 0.460243i | \(0.152238\pi\) | |||||||
\(488\) | −0.694593 | + | 3.93923i | −0.0314427 | + | 0.178321i | ||||
\(489\) | 14.5548 | − | 12.2130i | 0.658193 | − | 0.552289i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(492\) | −8.45723 | − | 3.07818i | −0.381282 | − | 0.138775i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.87939 | + | 0.684040i | 0.0843869 | + | 0.0307143i | ||||
\(497\) | −4.16756 | − | 23.6354i | −0.186940 | − | 1.06019i | ||||
\(498\) | −2.29813 | − | 1.92836i | −0.102982 | − | 0.0864120i | ||||
\(499\) | −19.1511 | + | 16.0697i | −0.857321 | + | 0.719378i | −0.961389 | − | 0.275192i | \(-0.911259\pi\) |
0.104068 | + | 0.994570i | \(0.466814\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.0000 | − | 20.7846i | 0.536120 | − | 0.928588i | ||||
\(502\) | 1.50000 | + | 2.59808i | 0.0669483 | + | 0.115958i | ||||
\(503\) | −5.63816 | + | 2.05212i | −0.251393 | + | 0.0914995i | −0.464643 | − | 0.885498i | \(-0.653817\pi\) |
0.213250 | + | 0.976998i | \(0.431595\pi\) | |||||||
\(504\) | −7.51754 | + | 2.73616i | −0.334858 | + | 0.121878i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 9.00000 | − | 15.5885i | 0.400099 | − | 0.692991i | ||||
\(507\) | 1.56283 | − | 8.86327i | 0.0694079 | − | 0.393632i | ||||
\(508\) | −1.53209 | + | 1.28558i | −0.0679755 | + | 0.0570382i | ||||
\(509\) | 18.3851 | + | 15.4269i | 0.814904 | + | 0.683785i | 0.951773 | − | 0.306804i | \(-0.0992595\pi\) |
−0.136869 | + | 0.990589i | \(0.543704\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.75877 | − | 1.36808i | −0.166278 | − | 0.0605203i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.00000 | −0.132324 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.694593 | + | 3.93923i | 0.0305777 | + | 0.173415i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −30.6418 | + | 25.7115i | −1.34632 | + | 1.12970i | ||||
\(519\) | 1.04189 | − | 5.90885i | 0.0457339 | − | 0.259370i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.50000 | + | 7.79423i | 0.197149 | + | 0.341471i | 0.947603 | − | 0.319451i | \(-0.103499\pi\) |
−0.750454 | + | 0.660922i | \(0.770165\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −26.3114 | + | 9.57656i | −1.15052 | + | 0.418754i | −0.845701 | − | 0.533657i | \(-0.820817\pi\) |
−0.304816 | + | 0.952411i | \(0.598595\pi\) | |||||||
\(524\) | −4.50000 | − | 7.79423i | −0.196583 | − | 0.340492i | ||||
\(525\) | 10.0000 | − | 17.3205i | 0.436436 | − | 0.755929i | ||||
\(526\) | −2.08378 | + | 11.8177i | −0.0908570 | + | 0.515276i | ||||
\(527\) | 9.19253 | − | 7.71345i | 0.400433 | − | 0.336003i | ||||
\(528\) | −2.29813 | − | 1.92836i | −0.100013 | − | 0.0839212i | ||||
\(529\) | 2.25743 | + | 12.8025i | 0.0981490 | + | 0.556630i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.0000 | −0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 18.0000 | 0.779667 | ||||||||
\(534\) | −5.63816 | − | 2.05212i | −0.243987 | − | 0.0888040i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.36231 | + | 4.49951i | 0.231617 | + | 0.194349i | ||||
\(537\) | 6.89440 | − | 5.78509i | 0.297515 | − | 0.249645i | ||||
\(538\) | −2.08378 | + | 11.8177i | −0.0898381 | + | 0.509497i | ||||
\(539\) | −13.5000 | + | 23.3827i | −0.581486 | + | 1.00716i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −41.3465 | + | 15.0489i | −1.77762 | + | 0.647002i | −0.777795 | + | 0.628518i | \(0.783662\pi\) |
−0.999829 | + | 0.0184837i | \(0.994116\pi\) | |||||||
\(542\) | 15.0351 | − | 5.47232i | 0.645812 | − | 0.235056i | ||||
\(543\) | −1.00000 | − | 1.73205i | −0.0429141 | − | 0.0743294i | ||||
\(544\) | 3.00000 | − | 5.19615i | 0.128624 | − | 0.222783i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −6.12836 | + | 5.14230i | −0.262269 | + | 0.220070i | ||||
\(547\) | 3.06418 | + | 2.57115i | 0.131015 | + | 0.109934i | 0.705940 | − | 0.708271i | \(-0.250525\pi\) |
−0.574926 | + | 0.818206i | \(0.694969\pi\) | |||||||
\(548\) | 1.56283 | + | 8.86327i | 0.0667609 | + | 0.378620i | ||||
\(549\) | −7.51754 | − | 2.73616i | −0.320841 | − | 0.116777i | ||||
\(550\) | −15.0000 | −0.639602 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 6.00000 | 0.255377 | ||||||||
\(553\) | 15.0351 | + | 5.47232i | 0.639357 | + | 0.232707i | ||||
\(554\) | 1.38919 | + | 7.87846i | 0.0590208 | + | 0.334724i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.42649 | − | 7.07066i | 0.357363 | − | 0.299863i | ||||
\(557\) | 4.16756 | − | 23.6354i | 0.176585 | − | 1.00146i | −0.759713 | − | 0.650258i | \(-0.774661\pi\) |
0.936298 | − | 0.351205i | \(-0.114228\pi\) | |||||||
\(558\) | −2.00000 | + | 3.46410i | −0.0846668 | + | 0.146647i | ||||
\(559\) | −4.00000 | − | 6.92820i | −0.169182 | − | 0.293032i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.9145 | + | 6.15636i | −0.714129 | + | 0.259922i | ||||
\(562\) | 13.5000 | + | 23.3827i | 0.569463 | + | 0.986339i | ||||
\(563\) | −10.5000 | + | 18.1865i | −0.442522 | + | 0.766471i | −0.997876 | − | 0.0651433i | \(-0.979250\pi\) |
0.555354 | + | 0.831614i | \(0.312583\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 3.83022 | + | 3.21394i | 0.160996 | + | 0.135092i | ||||
\(567\) | −0.694593 | − | 3.93923i | −0.0291702 | − | 0.165432i | ||||
\(568\) | −5.63816 | − | 2.05212i | −0.236572 | − | 0.0861051i | ||||
\(569\) | 6.00000 | 0.251533 | 0.125767 | − | 0.992060i | \(-0.459861\pi\) | ||||
0.125767 | + | 0.992060i | \(0.459861\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.00000 | −0.292941 | −0.146470 | − | 0.989215i | \(-0.546791\pi\) | ||||
−0.146470 | + | 0.989215i | \(0.546791\pi\) | |||||||
\(572\) | 5.63816 | + | 2.05212i | 0.235743 | + | 0.0858035i | ||||
\(573\) | −2.08378 | − | 11.8177i | −0.0870511 | − | 0.493691i | ||||
\(574\) | 27.5776 | + | 23.1404i | 1.15107 | + | 0.965860i | ||||
\(575\) | 22.9813 | − | 19.2836i | 0.958388 | − | 0.804183i | ||||
\(576\) | −0.347296 | + | 1.96962i | −0.0144707 | + | 0.0820673i | ||||
\(577\) | −5.50000 | + | 9.52628i | −0.228968 | + | 0.396584i | −0.957503 | − | 0.288425i | \(-0.906868\pi\) |
0.728535 | + | 0.685009i | \(0.240202\pi\) | |||||||
\(578\) | −9.50000 | − | 16.4545i | −0.395148 | − | 0.684416i | ||||
\(579\) | −1.87939 | + | 0.684040i | −0.0781046 | + | 0.0284277i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.00000 | + | 10.3923i | 0.248922 | + | 0.431145i | ||||
\(582\) | −8.50000 | + | 14.7224i | −0.352336 | + | 0.610264i | ||||
\(583\) | −3.12567 | + | 17.7265i | −0.129452 | + | 0.734158i | ||||
\(584\) | −0.766044 | + | 0.642788i | −0.0316991 | + | 0.0265987i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.16756 | − | 23.6354i | −0.172160 | − | 0.976369i | ||||
\(587\) | 11.2763 | + | 4.10424i | 0.465423 | + | 0.169400i | 0.564078 | − | 0.825722i | \(-0.309232\pi\) |
−0.0986548 | + | 0.995122i | \(0.531454\pi\) | |||||||
\(588\) | −9.00000 | −0.371154 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 16.9145 | + | 6.15636i | 0.695768 | + | 0.253239i | ||||
\(592\) | 1.73648 | + | 9.84808i | 0.0713690 | + | 0.404753i | ||||
\(593\) | −16.0869 | − | 13.4985i | −0.660611 | − | 0.554319i | 0.249659 | − | 0.968334i | \(-0.419682\pi\) |
−0.910270 | + | 0.414015i | \(0.864126\pi\) | |||||||
\(594\) | 11.4907 | − | 9.64181i | 0.471468 | − | 0.395608i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −9.00000 | + | 15.5885i | −0.368654 | + | 0.638528i | ||||
\(597\) | −5.00000 | − | 8.66025i | −0.204636 | − | 0.354441i | ||||
\(598\) | −11.2763 | + | 4.10424i | −0.461123 | + | 0.167835i | ||||
\(599\) | −5.63816 | + | 2.05212i | −0.230369 | + | 0.0838474i | −0.454625 | − | 0.890683i | \(-0.650227\pi\) |
0.224257 | + | 0.974530i | \(0.428005\pi\) | |||||||
\(600\) | −2.50000 | − | 4.33013i | −0.102062 | − | 0.176777i | ||||
\(601\) | −6.50000 | + | 11.2583i | −0.265141 | + | 0.459237i | −0.967600 | − | 0.252486i | \(-0.918752\pi\) |
0.702460 | + | 0.711723i | \(0.252085\pi\) | |||||||
\(602\) | 2.77837 | − | 15.7569i | 0.113238 | − | 0.642204i | ||||
\(603\) | −10.7246 | + | 8.99903i | −0.436740 | + | 0.366469i | ||||
\(604\) | 7.66044 | + | 6.42788i | 0.311699 | + | 0.261547i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −20.0000 | −0.811775 | −0.405887 | − | 0.913923i | \(-0.633038\pi\) | ||||
−0.405887 | + | 0.913923i | \(0.633038\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 9.19253 | + | 7.71345i | 0.371586 | + | 0.311798i | ||||
\(613\) | 1.53209 | − | 1.28558i | 0.0618805 | − | 0.0519239i | −0.611323 | − | 0.791381i | \(-0.709362\pi\) |
0.673203 | + | 0.739457i | \(0.264918\pi\) | |||||||
\(614\) | 1.21554 | − | 6.89365i | 0.0490551 | − | 0.278205i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.00000 | + | 10.3923i | 0.241747 | + | 0.418718i | ||||
\(617\) | −2.81908 | + | 1.02606i | −0.113492 | + | 0.0413076i | −0.398142 | − | 0.917324i | \(-0.630345\pi\) |
0.284650 | + | 0.958631i | \(0.408123\pi\) | |||||||
\(618\) | −1.87939 | + | 0.684040i | −0.0756000 | + | 0.0275161i | ||||
\(619\) | 2.00000 | + | 3.46410i | 0.0803868 | + | 0.139234i | 0.903416 | − | 0.428765i | \(-0.141051\pi\) |
−0.823029 | + | 0.567999i | \(0.807718\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.20945 | + | 29.5442i | −0.209048 | + | 1.18557i | ||||
\(622\) | −22.9813 | + | 19.2836i | −0.921468 | + | 0.773203i | ||||
\(623\) | 18.3851 | + | 15.4269i | 0.736582 | + | 0.618066i | ||||
\(624\) | 0.347296 | + | 1.96962i | 0.0139030 | + | 0.0788477i | ||||
\(625\) | −23.4923 | − | 8.55050i | −0.939693 | − | 0.342020i | ||||
\(626\) | −19.0000 | −0.759393 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.0000 | −0.638470 | ||||||||
\(629\) | 56.3816 | + | 20.5212i | 2.24808 | + | 0.818234i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.4492 | − | 17.9981i | −0.853881 | − | 0.716491i | 0.106760 | − | 0.994285i | \(-0.465952\pi\) |
−0.960641 | + | 0.277794i | \(0.910397\pi\) | |||||||
\(632\) | 3.06418 | − | 2.57115i | 0.121886 | − | 0.102275i | ||||
\(633\) | 3.47296 | − | 19.6962i | 0.138038 | − | 0.782852i | ||||
\(634\) | −9.00000 | + | 15.5885i | −0.357436 | + | 0.619097i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −5.63816 | + | 2.05212i | −0.223567 | + | 0.0813719i | ||||
\(637\) | 16.9145 | − | 6.15636i | 0.670176 | − | 0.243924i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.00000 | − | 10.3923i | 0.237356 | − | 0.411113i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 29.8757 | − | 25.0687i | 1.18002 | − | 0.990155i | 0.180042 | − | 0.983659i | \(-0.442377\pi\) |
0.999979 | − | 0.00649579i | \(-0.00206769\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.46687 | − | 42.3467i | −0.294465 | − | 1.66999i | −0.669370 | − | 0.742929i | \(-0.733436\pi\) |
0.374905 | − | 0.927063i | \(-0.377675\pi\) | |||||||
\(644\) | −22.5526 | − | 8.20848i | −0.888698 | − | 0.323460i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 18.0000 | 0.707653 | 0.353827 | − | 0.935311i | \(-0.384880\pi\) | ||||
0.353827 | + | 0.935311i | \(0.384880\pi\) | |||||||
\(648\) | −0.939693 | − | 0.342020i | −0.0369146 | − | 0.0134358i | ||||
\(649\) | 4.68850 | + | 26.5898i | 0.184040 | + | 1.04374i | ||||
\(650\) | 7.66044 | + | 6.42788i | 0.300467 | + | 0.252122i | ||||
\(651\) | −6.12836 | + | 5.14230i | −0.240189 | + | 0.201543i | ||||
\(652\) | −3.29932 | + | 18.7113i | −0.129211 | + | 0.732793i | ||||
\(653\) | 6.00000 | − | 10.3923i | 0.234798 | − | 0.406682i | −0.724416 | − | 0.689363i | \(-0.757890\pi\) |
0.959214 | + | 0.282681i | \(0.0912238\pi\) | |||||||
\(654\) | 8.00000 | + | 13.8564i | 0.312825 | + | 0.541828i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 8.45723 | − | 3.07818i | 0.330199 | − | 0.120183i | ||||
\(657\) | −1.00000 | − | 1.73205i | −0.0390137 | − | 0.0675737i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.25133 | + | 35.4531i | −0.243517 | + | 1.38106i | 0.580393 | + | 0.814336i | \(0.302899\pi\) |
−0.823911 | + | 0.566720i | \(0.808212\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.6418 | + | 25.7115i | 1.19183 | + | 1.00006i | 0.999826 | + | 0.0186669i | \(0.00594222\pi\) |
0.192001 | + | 0.981395i | \(0.438502\pi\) | |||||||
\(662\) | −0.868241 | − | 4.92404i | −0.0337451 | − | 0.191378i | ||||
\(663\) | 11.2763 | + | 4.10424i | 0.437936 | + | 0.159396i | ||||
\(664\) | 3.00000 | 0.116423 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −20.0000 | −0.774984 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 4.16756 | + | 23.6354i | 0.161248 | + | 0.914481i | ||||
\(669\) | 10.7246 | + | 8.99903i | 0.414638 | + | 0.347922i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.08378 | + | 11.8177i | −0.0804434 | + | 0.456217i | ||||
\(672\) | −2.00000 | + | 3.46410i | −0.0771517 | + | 0.133631i | ||||
\(673\) | 7.00000 | + | 12.1244i | 0.269830 | + | 0.467360i | 0.968818 | − | 0.247774i | \(-0.0796991\pi\) |
−0.698988 | + | 0.715134i | \(0.746366\pi\) | |||||||
\(674\) | 10.3366 | − | 3.76222i | 0.398152 | − | 0.144915i | ||||
\(675\) | 23.4923 | − | 8.55050i | 0.904220 | − | 0.329109i | ||||
\(676\) | 4.50000 | + | 7.79423i | 0.173077 | + | 0.299778i | ||||
\(677\) | −21.0000 | + | 36.3731i | −0.807096 | + | 1.39793i | 0.107772 | + | 0.994176i | \(0.465628\pi\) |
−0.914867 | + | 0.403755i | \(0.867705\pi\) | |||||||
\(678\) | 2.60472 | − | 14.7721i | 0.100034 | − | 0.567320i | ||||
\(679\) | 52.0910 | − | 43.7096i | 1.99907 | − | 1.67742i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.520945 | + | 2.95442i | 0.0199626 | + | 0.113214i | ||||
\(682\) | 5.63816 | + | 2.05212i | 0.215896 | + | 0.0785798i | ||||
\(683\) | 36.0000 | 1.37750 | 0.688751 | − | 0.724998i | \(-0.258159\pi\) | ||||
0.688751 | + | 0.724998i | \(0.258159\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 7.51754 | + | 2.73616i | 0.287021 | + | 0.104467i | ||||
\(687\) | 2.77837 | + | 15.7569i | 0.106001 | + | 0.601164i | ||||
\(688\) | −3.06418 | − | 2.57115i | −0.116821 | − | 0.0980242i | ||||
\(689\) | 9.19253 | − | 7.71345i | 0.350208 | − | 0.293859i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.0000 | + | 38.1051i | −0.836919 | + | 1.44959i | 0.0555386 | + | 0.998457i | \(0.482312\pi\) |
−0.892458 | + | 0.451130i | \(0.851021\pi\) | |||||||
\(692\) | 3.00000 | + | 5.19615i | 0.114043 | + | 0.197528i | ||||
\(693\) | −22.5526 | + | 8.20848i | −0.856703 | + | 0.311815i | ||||
\(694\) | 8.45723 | − | 3.07818i | 0.321032 | − | 0.116846i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.37700 | − | 53.1796i | 0.355179 | − | 2.01432i | ||||
\(698\) | −3.06418 | + | 2.57115i | −0.115981 | + | 0.0973195i | ||||
\(699\) | −2.29813 | − | 1.92836i | −0.0869234 | − | 0.0729374i | ||||
\(700\) | 3.47296 | + | 19.6962i | 0.131266 | + | 0.744445i | ||||
\(701\) | 22.5526 | + | 8.20848i | 0.851801 | + | 0.310030i | 0.730774 | − | 0.682619i | \(-0.239159\pi\) |
0.121026 | + | 0.992649i | \(0.461381\pi\) | |||||||
\(702\) | −10.0000 | −0.377426 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 3.00000 | 0.113067 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.520945 | + | 2.95442i | 0.0196060 | + | 0.111191i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −6.89440 | + | 5.78509i | −0.259107 | + | 0.217417i | ||||
\(709\) | 2.43107 | − | 13.7873i | 0.0913009 | − | 0.517793i | −0.904517 | − | 0.426437i | \(-0.859769\pi\) |
0.995818 | − | 0.0913564i | \(-0.0291202\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.00000 | + | 6.92820i | 0.150012 | + | 0.259828i | ||||
\(712\) | 5.63816 | − | 2.05212i | 0.211299 | − | 0.0769065i | ||||
\(713\) | −11.2763 | + | 4.10424i | −0.422301 | + | 0.153705i | ||||
\(714\) | 12.0000 | + | 20.7846i | 0.449089 | + | 0.777844i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.56283 | + | 8.86327i | −0.0584058 | + | 0.331236i | ||||
\(717\) | 9.19253 | − | 7.71345i | 0.343301 | − | 0.288064i | ||||
\(718\) | −4.59627 | − | 3.85673i | −0.171531 | − | 0.143932i | ||||
\(719\) | 5.20945 | + | 29.5442i | 0.194280 | + | 1.10181i | 0.913441 | + | 0.406971i | \(0.133415\pi\) |
−0.719162 | + | 0.694843i | \(0.755474\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.00000 | 0.297936 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.00000 | 0.185952 | ||||||||
\(724\) | 1.87939 | + | 0.684040i | 0.0698468 | + | 0.0254222i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 1.53209 | + | 1.28558i | 0.0568612 | + | 0.0477122i | ||||
\(727\) | 24.5134 | − | 20.5692i | 0.909153 | − | 0.762870i | −0.0628051 | − | 0.998026i | \(-0.520005\pi\) |
0.971958 | + | 0.235156i | \(0.0755602\pi\) | |||||||
\(728\) | 1.38919 | − | 7.87846i | 0.0514866 | − | 0.291995i | ||||
\(729\) | −6.50000 | + | 11.2583i | −0.240741 | + | 0.416975i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −22.5526 | + | 8.20848i | −0.834139 | + | 0.303602i | ||||
\(732\) | −3.75877 | + | 1.36808i | −0.138928 | + | 0.0505657i | ||||
\(733\) | 11.0000 | + | 19.0526i | 0.406294 | + | 0.703722i | 0.994471 | − | 0.105010i | \(-0.0334875\pi\) |
−0.588177 | + | 0.808732i | \(0.700154\pi\) | |||||||
\(734\) | 11.0000 | − | 19.0526i | 0.406017 | − | 0.703243i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.59627 | + | 3.85673i | −0.169421 | + | 0.142161i | ||||
\(737\) | 16.0869 | + | 13.4985i | 0.592570 | + | 0.497225i | ||||
\(738\) | 3.12567 | + | 17.7265i | 0.115057 | + | 0.652523i | ||||
\(739\) | −32.8892 | − | 11.9707i | −1.20985 | − | 0.440350i | −0.343198 | − | 0.939263i | \(-0.611510\pi\) |
−0.866652 | + | 0.498913i | \(0.833733\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 24.0000 | 0.881068 | ||||||||
\(743\) | −16.9145 | − | 6.15636i | −0.620532 | − | 0.225855i | 0.0125734 | − | 0.999921i | \(-0.495998\pi\) |
−0.633105 | + | 0.774066i | \(0.718220\pi\) | |||||||
\(744\) | 0.347296 | + | 1.96962i | 0.0127325 | + | 0.0722096i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 3.06418 | − | 2.57115i | 0.112188 | − | 0.0941365i | ||||
\(747\) | −1.04189 | + | 5.90885i | −0.0381207 | + | 0.216193i | ||||
\(748\) | 9.00000 | − | 15.5885i | 0.329073 | − | 0.569970i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 35.7083 | − | 12.9968i | 1.30302 | − | 0.474259i | 0.405038 | − | 0.914300i | \(-0.367258\pi\) |
0.897978 | + | 0.440041i | \(0.145036\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.50000 | + | 2.59808i | −0.0546630 | + | 0.0946792i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −15.3209 | − | 12.8558i | −0.557215 | − | 0.467559i | ||||
\(757\) | −1.73648 | − | 9.84808i | −0.0631135 | − | 0.357934i | −0.999966 | − | 0.00821050i | \(-0.997386\pi\) |
0.936853 | − | 0.349724i | \(-0.113725\pi\) | |||||||
\(758\) | −26.3114 | − | 9.57656i | −0.955673 | − | 0.347836i | ||||
\(759\) | 18.0000 | 0.653359 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −39.0000 | −1.41375 | −0.706874 | − | 0.707339i | \(-0.749895\pi\) | ||||
−0.706874 | + | 0.707339i | \(0.749895\pi\) | |||||||
\(762\) | −1.87939 | − | 0.684040i | −0.0680829 | − | 0.0247802i | ||||
\(763\) | −11.1135 | − | 63.0277i | −0.402335 | − | 2.28176i | ||||
\(764\) | 9.19253 | + | 7.71345i | 0.332574 | + | 0.279063i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.25133 | − | 35.4531i | 0.225870 | − | 1.28097i | ||||
\(767\) | 9.00000 | − | 15.5885i | 0.324971 | − | 0.562867i | ||||
\(768\) | 0.500000 | + | 0.866025i | 0.0180422 | + | 0.0312500i | ||||
\(769\) | −1.87939 | + | 0.684040i | −0.0677724 | + | 0.0246671i | −0.375684 | − | 0.926748i | \(-0.622592\pi\) |
0.307912 | + | 0.951415i | \(0.400370\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.50000 | − | 2.59808i | −0.0540212 | − | 0.0935674i | ||||
\(772\) | 1.00000 | − | 1.73205i | 0.0359908 | − | 0.0623379i | ||||
\(773\) | 8.33511 | − | 47.2708i | 0.299793 | − | 1.70021i | −0.347262 | − | 0.937768i | \(-0.612888\pi\) |
0.647055 | − | 0.762443i | \(-0.276000\pi\) | |||||||
\(774\) | 6.12836 | − | 5.14230i | 0.220279 | − | 0.184836i | ||||
\(775\) | 7.66044 | + | 6.42788i | 0.275171 | + | 0.230896i | ||||
\(776\) | −2.95202 | − | 16.7417i | −0.105971 | − | 0.600993i | ||||
\(777\) | −37.5877 | − | 13.6808i | −1.34845 | − | 0.490796i | ||||
\(778\) | −36.0000 | −1.29066 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.9145 | − | 6.15636i | −0.605247 | − | 0.220292i | ||||
\(782\) | 6.25133 | + | 35.4531i | 0.223547 | + | 1.26780i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.89440 | − | 5.78509i | 0.246229 | − | 0.206610i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 4.50000 | − | 7.79423i | 0.160510 | − | 0.278011i | ||||
\(787\) | −3.50000 | − | 6.06218i | −0.124762 | − | 0.216093i | 0.796878 | − | 0.604140i | \(-0.206483\pi\) |
−0.921640 | + | 0.388047i | \(0.873150\pi\) | |||||||
\(788\) | −16.9145 | + | 6.15636i | −0.602553 | + | 0.219311i | ||||
\(789\) | −11.2763 | + | 4.10424i | −0.401447 | + | 0.146115i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −30.0000 | + | 51.9615i | −1.06668 | + | 1.84754i | ||||
\(792\) | −1.04189 | + | 5.90885i | −0.0370219 | + | 0.209962i | ||||
\(793\) | 6.12836 | − | 5.14230i | 0.217624 | − | 0.182608i | ||||
\(794\) | −7.66044 | − | 6.42788i | −0.271859 | − | 0.228117i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.39693 | + | 3.42020i | 0.333065 | + | 0.121226i | ||||
\(797\) | −6.00000 | −0.212531 | −0.106265 | − | 0.994338i | \(-0.533889\pi\) | ||||
−0.106265 | + | 0.994338i | \(0.533889\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 4.69846 | + | 1.71010i | 0.166116 | + | 0.0604612i | ||||
\(801\) | 2.08378 | + | 11.8177i | 0.0736267 | + | 0.417558i | ||||
\(802\) | 20.6832 | + | 17.3553i | 0.730349 | + | 0.612836i | ||||
\(803\) | −2.29813 | + | 1.92836i | −0.0810994 | + | 0.0680504i | ||||
\(804\) | −1.21554 | + | 6.89365i | −0.0428687 | + | 0.243120i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −2.00000 | − | 3.46410i | −0.0704470 | − | 0.122018i | ||||
\(807\) | −11.2763 | + | 4.10424i | −0.396945 | + | 0.144476i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −22.5000 | − | 38.9711i | −0.791058 | − | 1.37015i | −0.925312 | − | 0.379206i | \(-0.876197\pi\) |
0.134255 | − | 0.990947i | \(-0.457136\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.77837 | − | 15.7569i | 0.0975618 | − | 0.553300i | −0.896370 | − | 0.443306i | \(-0.853806\pi\) |
0.993932 | − | 0.109995i | \(-0.0350833\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 12.2567 | + | 10.2846i | 0.429862 | + | 0.360697i | ||||
\(814\) | 5.20945 | + | 29.5442i | 0.182591 | + | 1.03552i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 6.00000 | 0.210042 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −5.00000 | −0.174821 | ||||||||
\(819\) | 15.0351 | + | 5.47232i | 0.525368 | + | 0.191218i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 13.7888 | + | 11.5702i | 0.481232 | + | 0.403802i | 0.850872 | − | 0.525373i | \(-0.176074\pi\) |
−0.369639 | + | 0.929175i | \(0.620519\pi\) | |||||||
\(822\) | −6.89440 | + | 5.78509i | −0.240470 | + | 0.201778i | ||||
\(823\) | 2.43107 | − | 13.7873i | 0.0847419 | − | 0.480595i | −0.912670 | − | 0.408697i | \(-0.865983\pi\) |
0.997412 | − | 0.0718982i | \(-0.0229057\pi\) | |||||||
\(824\) | 1.00000 | − | 1.73205i | 0.0348367 | − | 0.0603388i | ||||
\(825\) | −7.50000 | − | 12.9904i | −0.261116 | − | 0.452267i | ||||
\(826\) | 33.8289 | − | 12.3127i | 1.17706 | − | 0.428415i | ||||
\(827\) | −36.6480 | + | 13.3388i | −1.27438 | + | 0.463835i | −0.888568 | − | 0.458744i | \(-0.848299\pi\) |
−0.385808 | + | 0.922579i | \(0.626077\pi\) | |||||||
\(828\) | −6.00000 | − | 10.3923i | −0.208514 | − | 0.361158i | ||||
\(829\) | 22.0000 | − | 38.1051i | 0.764092 | − | 1.32345i | −0.176634 | − | 0.984277i | \(-0.556521\pi\) |
0.940726 | − | 0.339169i | \(-0.110146\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.12836 | + | 5.14230i | −0.212590 | + | 0.178384i | ||||
\(832\) | −1.53209 | − | 1.28558i | −0.0531156 | − | 0.0445693i | ||||
\(833\) | −9.37700 | − | 53.1796i | −0.324894 | − | 1.84256i | ||||
\(834\) | 10.3366 | + | 3.76222i | 0.357928 | + | 0.130275i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10.0000 | −0.345651 | ||||||||
\(838\) | 11.2763 | + | 4.10424i | 0.389534 | + | 0.141779i | ||||
\(839\) | 2.08378 | + | 11.8177i | 0.0719400 | + | 0.407992i | 0.999418 | + | 0.0341142i | \(0.0108610\pi\) |
−0.927478 | + | 0.373878i | \(0.878028\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.2153 | + | 18.6408i | −0.766044 | + | 0.642788i | ||||
\(842\) | 1.73648 | − | 9.84808i | 0.0598431 | − | 0.339387i | ||||
\(843\) | −13.5000 | + | 23.3827i | −0.464965 | + | 0.805342i | ||||
\(844\) | 10.0000 | + | 17.3205i | 0.344214 | + | 0.596196i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.00000 | − | 6.92820i | −0.137442 | − | 0.238056i | ||||
\(848\) | 3.00000 | − | 5.19615i | 0.103020 | − | 0.178437i | ||||
\(849\) | −0.868241 | + | 4.92404i | −0.0297980 | + | 0.168993i | ||||
\(850\) | 22.9813 | − | 19.2836i | 0.788253 | − | 0.661423i | ||||
\(851\) | −45.9627 | − | 38.5673i | −1.57558 | − | 1.32207i | ||||
\(852\) | −1.04189 | − | 5.90885i | −0.0356945 | − | 0.202434i | ||||
\(853\) | 20.6732 | + | 7.52444i | 0.707838 | + | 0.257632i | 0.670754 | − | 0.741680i | \(-0.265971\pi\) |
0.0370844 | + | 0.999312i | \(0.488193\pi\) | |||||||
\(854\) | 16.0000 | 0.547509 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.81908 | − | 1.02606i | −0.0962979 | − | 0.0350496i | 0.293422 | − | 0.955983i | \(-0.405206\pi\) |
−0.389720 | + | 0.920933i | \(0.627428\pi\) | |||||||
\(858\) | 1.04189 | + | 5.90885i | 0.0355695 | + | 0.201725i | ||||
\(859\) | −32.9399 | − | 27.6399i | −1.12390 | − | 0.943060i | −0.125101 | − | 0.992144i | \(-0.539925\pi\) |
−0.998795 | + | 0.0490840i | \(0.984370\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −6.25133 | + | 35.4531i | −0.213045 | + | 1.20824i | ||||
\(862\) | −15.0000 | + | 25.9808i | −0.510902 | + | 0.884908i | ||||
\(863\) | 9.00000 | + | 15.5885i | 0.306364 | + | 0.530637i | 0.977564 | − | 0.210639i | \(-0.0675543\pi\) |
−0.671200 | + | 0.741276i | \(0.734221\pi\) | |||||||
\(864\) | −4.69846 | + | 1.71010i | −0.159845 | + | 0.0581788i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 13.0000 | + | 22.5167i | 0.441758 | + | 0.765147i | ||||
\(867\) | 9.50000 | − | 16.4545i | 0.322637 | − | 0.558824i | ||||
\(868\) | 1.38919 | − | 7.87846i | 0.0471520 | − | 0.267412i | ||||
\(869\) | 9.19253 | − | 7.71345i | 0.311835 | − | 0.261661i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.43107 | − | 13.7873i | −0.0823738 | − | 0.467165i | ||||
\(872\) | −15.0351 | − | 5.47232i | −0.509152 | − | 0.185316i | ||||
\(873\) | 34.0000 | 1.15073 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.939693 | − | 0.342020i | −0.0317493 | − | 0.0115558i | ||||
\(877\) | −3.47296 | − | 19.6962i | −0.117274 | − | 0.665092i | −0.985599 | − | 0.169097i | \(-0.945915\pi\) |
0.868326 | − | 0.495994i | \(-0.165196\pi\) | |||||||
\(878\) | −10.7246 | − | 8.99903i | −0.361938 | − | 0.303702i | ||||
\(879\) | 18.3851 | − | 15.4269i | 0.620113 | − | 0.520337i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.50000 | − | 7.79423i | 0.151609 | − | 0.262594i | −0.780210 | − | 0.625517i | \(-0.784888\pi\) |
0.931819 | + | 0.362923i | \(0.118221\pi\) | |||||||
\(882\) | 9.00000 | + | 15.5885i | 0.303046 | + | 0.524891i | ||||
\(883\) | 17.8542 | − | 6.49838i | 0.600840 | − | 0.218688i | −0.0236503 | − | 0.999720i | \(-0.507529\pi\) |
0.624491 | + | 0.781032i | \(0.285307\pi\) | |||||||
\(884\) | −11.2763 | + | 4.10424i | −0.379263 | + | 0.138041i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.50000 | + | 7.79423i | −0.151180 | + | 0.261852i | ||||
\(887\) | −8.33511 | + | 47.2708i | −0.279866 | + | 1.58720i | 0.443203 | + | 0.896421i | \(0.353842\pi\) |
−0.723069 | + | 0.690776i | \(0.757269\pi\) | |||||||
\(888\) | −7.66044 | + | 6.42788i | −0.257068 | + | 0.215705i | ||||
\(889\) | 6.12836 | + | 5.14230i | 0.205538 | + | 0.172467i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.81908 | − | 1.02606i | −0.0944427 | − | 0.0343743i | ||||
\(892\) | −14.0000 | −0.468755 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −18.0000 | −0.602010 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.694593 | − | 3.93923i | −0.0232047 | − | 0.131600i | ||||
\(897\) | −9.19253 | − | 7.71345i | −0.306930 | − | 0.257545i | ||||
\(898\) | −6.89440 | + | 5.78509i | −0.230069 | + | 0.193051i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −5.00000 | + | 8.66025i | −0.166667 | + | 0.288675i | ||||
\(901\) | −18.0000 | − | 31.1769i | −0.599667 | − | 1.03865i | ||||
\(902\) | 25.3717 | − | 9.23454i | 0.844785 | − | 0.307477i | ||||
\(903\) | 15.0351 | − | 5.47232i | 0.500336 | − | 0.182107i | ||||
\(904\) | 7.50000 | + | 12.9904i | 0.249446 | + | 0.432054i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.73648 | + | 9.84808i | −0.0576907 | + | 0.327180i | ||||
\(907\) | −13.0228 | + | 10.9274i | −0.432414 | + | 0.362838i | −0.832861 | − | 0.553481i | \(-0.813299\pi\) |
0.400448 | + | 0.916319i | \(0.368855\pi\) | |||||||
\(908\) | −2.29813 | − | 1.92836i | −0.0762662 | − | 0.0639950i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −30.0000 | −0.993944 | −0.496972 | − | 0.867766i | \(-0.665555\pi\) | ||||
−0.496972 | + | 0.867766i | \(0.665555\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.00000 | 0.297857 | ||||||||
\(914\) | −4.69846 | − | 1.71010i | −0.155411 | − | 0.0565651i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.2567 | − | 10.2846i | −0.404973 | − | 0.339813i | ||||
\(917\) | −27.5776 | + | 23.1404i | −0.910693 | + | 0.764162i | ||||
\(918\) | −5.20945 | + | 29.5442i | −0.171937 | + | 0.975105i | ||||
\(919\) | 5.00000 | − | 8.66025i | 0.164935 | − | 0.285675i | −0.771697 | − | 0.635990i | \(-0.780592\pi\) |
0.936632 | + | 0.350315i | \(0.113925\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 6.57785 | − | 2.39414i | 0.216747 | − | 0.0788896i | ||||
\(922\) | −5.63816 | + | 2.05212i | −0.185683 | + | 0.0675830i | ||||
\(923\) | 6.00000 | + | 10.3923i | 0.197492 | + | 0.342067i | ||||
\(924\) | −6.00000 | + | 10.3923i | −0.197386 | + | 0.341882i | ||||
\(925\) | −8.68241 | + | 49.2404i | −0.285476 | + | 1.61901i | ||||
\(926\) | −26.0455 | + | 21.8548i | −0.855909 | + | 0.718193i | ||||
\(927\) | 3.06418 | + | 2.57115i | 0.100641 | + | 0.0844477i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 2.81908 | + | 1.02606i | 0.0924909 | + | 0.0336640i | 0.387851 | − | 0.921722i | \(-0.373217\pi\) |
−0.295360 | + | 0.955386i | \(0.595440\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.00000 | 0.0982683 | ||||||||
\(933\) | −28.1908 | − | 10.2606i | −0.922925 | − | 0.335917i | ||||
\(934\) | −4.68850 | − | 26.5898i | −0.153412 | − | 0.870045i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.06418 | − | 2.57115i | 0.100156 | − | 0.0840407i | ||||
\(937\) | 6.07769 | − | 34.4683i | 0.198549 | − | 1.12603i | −0.708723 | − | 0.705487i | \(-0.750729\pi\) |
0.907273 | − | 0.420543i | \(-0.138160\pi\) | |||||||
\(938\) | 14.0000 | − | 24.2487i | 0.457116 | − | 0.791748i | ||||
\(939\) | −9.50000 | − | 16.4545i | −0.310021 | − | 0.536972i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −39.4671 | + | 14.3648i | −1.28659 | + | 0.468281i | −0.892606 | − | 0.450837i | \(-0.851126\pi\) |
−0.393984 | + | 0.919117i | \(0.628903\pi\) | |||||||
\(942\) | −8.00000 | − | 13.8564i | −0.260654 | − | 0.451466i | ||||
\(943\) | −27.0000 | + | 46.7654i | −0.879241 | + | 1.52289i | ||||
\(944\) | 1.56283 | − | 8.86327i | 0.0508659 | − | 0.288475i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −9.19253 | − | 7.71345i | −0.298875 | − | 0.250786i | ||||
\(947\) | 10.4189 | + | 59.0885i | 0.338568 | + | 1.92012i | 0.388679 | + | 0.921373i | \(0.372932\pi\) |
−0.0501101 | + | 0.998744i | \(0.515957\pi\) | |||||||
\(948\) | 3.75877 | + | 1.36808i | 0.122079 | + | 0.0444332i | ||||
\(949\) | 2.00000 | 0.0649227 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | −22.5526 | − | 8.20848i | −0.730935 | − | 0.266038i | ||||
\(953\) | 2.60472 | + | 14.7721i | 0.0843752 | + | 0.478516i | 0.997490 | + | 0.0708124i | \(0.0225592\pi\) |
−0.913114 | + | 0.407703i | \(0.866330\pi\) | |||||||
\(954\) | 9.19253 | + | 7.71345i | 0.297619 | + | 0.249732i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −2.08378 | + | 11.8177i | −0.0673942 | + | 0.382212i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −18.0000 | − | 31.1769i | −0.581554 | − | 1.00728i | ||||
\(959\) | 33.8289 | − | 12.3127i | 1.09239 | − | 0.397599i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5000 | + | 23.3827i | 0.435484 | + | 0.754280i | ||||
\(962\) | 10.0000 | − | 17.3205i | 0.322413 | − | 0.558436i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −3.83022 | + | 3.21394i | −0.123363 | + | 0.103514i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −4.16756 | − | 23.6354i | −0.134089 | − | 0.760456i | ||||
\(967\) | 31.9495 | + | 11.6287i | 1.02743 | + | 0.373953i | 0.800101 | − | 0.599865i | \(-0.204779\pi\) |
0.227327 | + | 0.973818i | \(0.427001\pi\) | |||||||
\(968\) | −2.00000 | −0.0642824 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 19.7335 | + | 7.18242i | 0.633280 | + | 0.230495i | 0.638658 | − | 0.769491i | \(-0.279490\pi\) |
−0.00537853 | + | 0.999986i | \(0.501712\pi\) | |||||||
\(972\) | −2.77837 | − | 15.7569i | −0.0891163 | − | 0.505404i | ||||
\(973\) | −33.7060 | − | 28.2827i | −1.08056 | − | 0.906700i | ||||
\(974\) | −1.53209 | + | 1.28558i | −0.0490913 | + | 0.0411925i | ||||
\(975\) | −1.73648 | + | 9.84808i | −0.0556119 | + | 0.315391i | ||||
\(976\) | 2.00000 | − | 3.46410i | 0.0640184 | − | 0.110883i | ||||
\(977\) | 16.5000 | + | 28.5788i | 0.527882 | + | 0.914318i | 0.999472 | + | 0.0325001i | \(0.0103469\pi\) |
−0.471590 | + | 0.881818i | \(0.656320\pi\) | |||||||
\(978\) | −17.8542 | + | 6.49838i | −0.570913 | + | 0.207795i | ||||
\(979\) | 16.9145 | − | 6.15636i | 0.540589 | − | 0.196758i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 16.0000 | − | 27.7128i | 0.510841 | − | 0.884802i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −18.3851 | + | 15.4269i | −0.586393 | + | 0.492042i | −0.887039 | − | 0.461694i | \(-0.847242\pi\) |
0.300647 | + | 0.953736i | \(0.402797\pi\) | |||||||
\(984\) | 6.89440 | + | 5.78509i | 0.219785 | + | 0.184422i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 24.0000 | 0.763156 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.38919 | − | 7.87846i | −0.0441289 | − | 0.250268i | 0.954761 | − | 0.297374i | \(-0.0961110\pi\) |
−0.998890 | + | 0.0471069i | \(0.985000\pi\) | |||||||
\(992\) | −1.53209 | − | 1.28558i | −0.0486439 | − | 0.0408171i | ||||
\(993\) | 3.83022 | − | 3.21394i | 0.121548 | − | 0.101991i | ||||
\(994\) | −4.16756 | + | 23.6354i | −0.132187 | + | 0.749669i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 1.50000 | + | 2.59808i | 0.0475293 | + | 0.0823232i | ||||
\(997\) | 3.75877 | − | 1.36808i | 0.119041 | − | 0.0433275i | −0.281813 | − | 0.959469i | \(-0.590936\pi\) |
0.400854 | + | 0.916142i | \(0.368713\pi\) | |||||||
\(998\) | 23.4923 | − | 8.55050i | 0.743636 | − | 0.270661i | ||||
\(999\) | −25.0000 | − | 43.3013i | −0.790965 | − | 1.36999i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))