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: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.186694177220038656.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 343x^{6} + 117649 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 423.2 | ||
Root | \(-2.48619 + 0.904900i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.423 |
Dual form | 722.2.e.n.99.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 | ||||
\(3\) | 0.459430 | − | 2.60556i | 0.265252 | − | 1.50432i | −0.503065 | − | 0.864249i | \(-0.667794\pi\) |
0.768317 | − | 0.640070i | \(-0.221095\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −1.26072 | − | 1.05787i | −0.563811 | − | 0.473093i | 0.315775 | − | 0.948834i | \(-0.397736\pi\) |
−0.879585 | + | 0.475741i | \(0.842180\pi\) | |||||||
\(6\) | 0.459430 | + | 2.60556i | 0.187561 | + | 1.06371i | ||||
\(7\) | −1.82288 | − | 3.15731i | −0.688982 | − | 1.19335i | −0.972167 | − | 0.234287i | \(-0.924724\pi\) |
0.283185 | − | 0.959065i | \(-0.408609\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −3.75877 | − | 1.36808i | −1.25292 | − | 0.456027i | ||||
\(10\) | 1.54650 | + | 0.562880i | 0.489046 | + | 0.177998i | ||||
\(11\) | 2.32288 | − | 4.02334i | 0.700373 | − | 1.21308i | −0.267962 | − | 0.963429i | \(-0.586350\pi\) |
0.968335 | − | 0.249653i | \(-0.0803165\pi\) | |||||||
\(12\) | −1.32288 | − | 2.29129i | −0.381881 | − | 0.661438i | ||||
\(13\) | 0.347296 | + | 1.96962i | 0.0963227 | + | 0.546273i | 0.994334 | + | 0.106301i | \(0.0339006\pi\) |
−0.898011 | + | 0.439972i | \(0.854988\pi\) | |||||||
\(14\) | 2.79281 | + | 2.34344i | 0.746409 | + | 0.626312i | ||||
\(15\) | −3.33555 | + | 2.79886i | −0.861235 | + | 0.722662i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(18\) | 4.00000 | 0.942809 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −1.64575 | −0.368001 | ||||||||
\(21\) | −9.06404 | + | 3.29904i | −1.97794 | + | 0.719910i | ||||
\(22\) | −0.806726 | + | 4.57517i | −0.171995 | + | 0.975430i | ||||
\(23\) | −1.26072 | + | 1.05787i | −0.262878 | + | 0.220581i | −0.764694 | − | 0.644394i | \(-0.777110\pi\) |
0.501816 | + | 0.864974i | \(0.332665\pi\) | |||||||
\(24\) | 2.02676 | + | 1.70066i | 0.413711 | + | 0.347145i | ||||
\(25\) | −0.397915 | − | 2.25669i | −0.0795831 | − | 0.451338i | ||||
\(26\) | −1.00000 | − | 1.73205i | −0.196116 | − | 0.339683i | ||||
\(27\) | −1.32288 | + | 2.29129i | −0.254588 | + | 0.440959i | ||||
\(28\) | −3.42589 | − | 1.24692i | −0.647432 | − | 0.235646i | ||||
\(29\) | −1.54650 | − | 0.562880i | −0.287178 | − | 0.104524i | 0.194415 | − | 0.980919i | \(-0.437719\pi\) |
−0.481593 | + | 0.876395i | \(0.659941\pi\) | |||||||
\(30\) | 2.17712 | − | 3.77089i | 0.397487 | − | 0.688467i | ||||
\(31\) | 2.82288 | + | 4.88936i | 0.507003 | + | 0.878156i | 0.999967 | + | 0.00810584i | \(0.00258020\pi\) |
−0.492964 | + | 0.870050i | \(0.664086\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −9.41584 | − | 7.90083i | −1.63909 | − | 1.37536i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.04189 | + | 5.90885i | −0.176111 | + | 0.998777i | ||||
\(36\) | −3.75877 | + | 1.36808i | −0.626462 | + | 0.228013i | ||||
\(37\) | 0.354249 | 0.0582381 | 0.0291191 | − | 0.999576i | \(-0.490730\pi\) | ||||
0.0291191 | + | 0.999576i | \(0.490730\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.29150 | 0.847319 | ||||||||
\(40\) | 1.54650 | − | 0.562880i | 0.244523 | − | 0.0889992i | ||||
\(41\) | −0.0506189 | + | 0.287074i | −0.00790534 | + | 0.0448334i | −0.988505 | − | 0.151186i | \(-0.951691\pi\) |
0.980600 | + | 0.196020i | \(0.0628017\pi\) | |||||||
\(42\) | 7.38907 | − | 6.20017i | 1.14016 | − | 0.956707i | ||||
\(43\) | 8.64979 | + | 7.25804i | 1.31908 | + | 1.10684i | 0.986499 | + | 0.163766i | \(0.0523642\pi\) |
0.332582 | + | 0.943074i | \(0.392080\pi\) | |||||||
\(44\) | −0.806726 | − | 4.57517i | −0.121619 | − | 0.689733i | ||||
\(45\) | 3.29150 | + | 5.70105i | 0.490668 | + | 0.849862i | ||||
\(46\) | 0.822876 | − | 1.42526i | 0.121326 | − | 0.210143i | ||||
\(47\) | −4.09166 | − | 1.48924i | −0.596829 | − | 0.217228i | 0.0259012 | − | 0.999665i | \(-0.491754\pi\) |
−0.622730 | + | 0.782436i | \(0.713977\pi\) | |||||||
\(48\) | −2.48619 | − | 0.904900i | −0.358851 | − | 0.130611i | ||||
\(49\) | −3.14575 | + | 5.44860i | −0.449393 | + | 0.778372i | ||||
\(50\) | 1.14575 | + | 1.98450i | 0.162034 | + | 0.280651i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.53209 | + | 1.28558i | 0.212463 | + | 0.178277i | ||||
\(53\) | −9.63914 | + | 8.08820i | −1.32404 | + | 1.11100i | −0.338606 | + | 0.940928i | \(0.609955\pi\) |
−0.985432 | + | 0.170071i | \(0.945600\pi\) | |||||||
\(54\) | 0.459430 | − | 2.60556i | 0.0625205 | − | 0.354571i | ||||
\(55\) | −7.18466 | + | 2.61500i | −0.968779 | + | 0.352607i | ||||
\(56\) | 3.64575 | 0.487184 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.64575 | 0.216098 | ||||||||
\(59\) | 7.45858 | − | 2.71470i | 0.971024 | − | 0.353424i | 0.192680 | − | 0.981262i | \(-0.438282\pi\) |
0.778344 | + | 0.627838i | \(0.216060\pi\) | |||||||
\(60\) | −0.756107 | + | 4.28810i | −0.0976130 | + | 0.553591i | ||||
\(61\) | 0.717978 | − | 0.602455i | 0.0919277 | − | 0.0771365i | −0.595666 | − | 0.803232i | \(-0.703112\pi\) |
0.687593 | + | 0.726096i | \(0.258667\pi\) | |||||||
\(62\) | −4.32490 | − | 3.62902i | −0.549262 | − | 0.460886i | ||||
\(63\) | 2.53231 | + | 14.3615i | 0.319041 | + | 1.80937i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.64575 | − | 2.85052i | 0.204130 | − | 0.353564i | ||||
\(66\) | 11.5502 | + | 4.20394i | 1.42174 | + | 0.517469i | ||||
\(67\) | −0.606808 | − | 0.220860i | −0.0741334 | − | 0.0269823i | 0.304687 | − | 0.952452i | \(-0.401448\pi\) |
−0.378821 | + | 0.925470i | \(0.623670\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.17712 | + | 3.77089i | 0.262095 | + | 0.453962i | ||||
\(70\) | −1.04189 | − | 5.90885i | −0.124530 | − | 0.706242i | ||||
\(71\) | −2.07483 | − | 1.74099i | −0.246237 | − | 0.206617i | 0.511313 | − | 0.859395i | \(-0.329159\pi\) |
−0.757550 | + | 0.652777i | \(0.773604\pi\) | |||||||
\(72\) | 3.06418 | − | 2.57115i | 0.361117 | − | 0.303013i | ||||
\(73\) | 0.296677 | − | 1.68254i | 0.0347235 | − | 0.196927i | −0.962511 | − | 0.271241i | \(-0.912566\pi\) |
0.997235 | + | 0.0743148i | \(0.0236770\pi\) | |||||||
\(74\) | −0.332885 | + | 0.121160i | −0.0386971 | + | 0.0140846i | ||||
\(75\) | −6.06275 | −0.700066 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −16.9373 | −1.93018 | ||||||||
\(78\) | −4.97239 | + | 1.80980i | −0.563012 | + | 0.204920i | ||||
\(79\) | −0.694593 | + | 3.93923i | −0.0781478 | + | 0.443198i | 0.920478 | + | 0.390794i | \(0.127800\pi\) |
−0.998626 | + | 0.0524041i | \(0.983312\pi\) | |||||||
\(80\) | −1.26072 | + | 1.05787i | −0.140953 | + | 0.118273i | ||||
\(81\) | −3.83022 | − | 3.21394i | −0.425580 | − | 0.357104i | ||||
\(82\) | −0.0506189 | − | 0.287074i | −0.00558992 | − | 0.0317020i | ||||
\(83\) | −3.96863 | − | 6.87386i | −0.435613 | − | 0.754505i | 0.561732 | − | 0.827319i | \(-0.310135\pi\) |
−0.997345 | + | 0.0728147i | \(0.976802\pi\) | |||||||
\(84\) | −4.82288 | + | 8.35347i | −0.526219 | + | 0.911438i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −10.6105 | − | 3.86192i | −1.14416 | − | 0.416442i | ||||
\(87\) | −2.17712 | + | 3.77089i | −0.233412 | + | 0.404282i | ||||
\(88\) | 2.32288 | + | 4.02334i | 0.247619 | + | 0.428889i | ||||
\(89\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(90\) | −5.04287 | − | 4.23147i | −0.531566 | − | 0.446037i | ||||
\(91\) | 5.58562 | − | 4.68689i | 0.585532 | − | 0.491319i | ||||
\(92\) | −0.285782 | + | 1.62075i | −0.0297948 | + | 0.168975i | ||||
\(93\) | 14.0364 | − | 5.10884i | 1.45551 | − | 0.529762i | ||||
\(94\) | 4.35425 | 0.449106 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.64575 | 0.270031 | ||||||||
\(97\) | 3.48485 | − | 1.26838i | 0.353833 | − | 0.128785i | −0.158988 | − | 0.987281i | \(-0.550823\pi\) |
0.512820 | + | 0.858496i | \(0.328601\pi\) | |||||||
\(98\) | 1.09251 | − | 6.19592i | 0.110360 | − | 0.625882i | ||||
\(99\) | −14.2354 | + | 11.9449i | −1.43071 | + | 1.20051i | ||||
\(100\) | −1.75539 | − | 1.47295i | −0.175539 | − | 0.147295i | ||||
\(101\) | −2.36956 | − | 13.4384i | −0.235780 | − | 1.33717i | −0.840965 | − | 0.541090i | \(-0.818012\pi\) |
0.605185 | − | 0.796085i | \(-0.293099\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.64575 | − | 11.5108i | 0.654825 | − | 1.13419i | −0.327112 | − | 0.944985i | \(-0.606076\pi\) |
0.981938 | − | 0.189205i | \(-0.0605912\pi\) | |||||||
\(104\) | −1.87939 | − | 0.684040i | −0.184289 | − | 0.0670757i | ||||
\(105\) | 14.9172 | + | 5.42940i | 1.45577 | + | 0.529855i | ||||
\(106\) | 6.29150 | − | 10.8972i | 0.611085 | − | 1.05843i | ||||
\(107\) | −7.64575 | − | 13.2428i | −0.739143 | − | 1.28023i | −0.952882 | − | 0.303342i | \(-0.901898\pi\) |
0.213739 | − | 0.976891i | \(-0.431436\pi\) | |||||||
\(108\) | 0.459430 | + | 2.60556i | 0.0442087 | + | 0.250720i | ||||
\(109\) | 11.1712 | + | 9.37378i | 1.07001 | + | 0.897845i | 0.995053 | − | 0.0993420i | \(-0.0316738\pi\) |
0.0749564 | + | 0.997187i | \(0.476118\pi\) | |||||||
\(110\) | 5.85699 | − | 4.91459i | 0.558442 | − | 0.468588i | ||||
\(111\) | 0.162752 | − | 0.923015i | 0.0154478 | − | 0.0876087i | ||||
\(112\) | −3.42589 | + | 1.24692i | −0.323716 | + | 0.117823i | ||||
\(113\) | −15.5830 | −1.46593 | −0.732963 | − | 0.680269i | \(-0.761863\pi\) | ||||
−0.732963 | + | 0.680269i | \(0.761863\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.70850 | 0.252569 | ||||||||
\(116\) | −1.54650 | + | 0.562880i | −0.143589 | + | 0.0522621i | ||||
\(117\) | 1.38919 | − | 7.87846i | 0.128430 | − | 0.728364i | ||||
\(118\) | −6.08029 | + | 5.10197i | −0.559736 | + | 0.469674i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.756107 | − | 4.28810i | −0.0690228 | − | 0.391448i | ||||
\(121\) | −5.29150 | − | 9.16515i | −0.481046 | − | 0.833196i | ||||
\(122\) | −0.468627 | + | 0.811686i | −0.0424275 | + | 0.0734866i | ||||
\(123\) | 0.724732 | + | 0.263781i | 0.0653469 | + | 0.0237843i | ||||
\(124\) | 5.30527 | + | 1.93096i | 0.476427 | + | 0.173405i | ||||
\(125\) | −6.00000 | + | 10.3923i | −0.536656 | + | 0.929516i | ||||
\(126\) | −7.29150 | − | 12.6293i | −0.649579 | − | 1.12510i | ||||
\(127\) | −2.30805 | − | 13.0896i | −0.204806 | − | 1.16151i | −0.897745 | − | 0.440516i | \(-0.854796\pi\) |
0.692939 | − | 0.720996i | \(-0.256316\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 22.8852 | − | 19.2030i | 2.01493 | − | 1.69073i | ||||
\(130\) | −0.571563 | + | 3.24150i | −0.0501294 | + | 0.284298i | ||||
\(131\) | −1.82042 | + | 0.662580i | −0.159051 | + | 0.0578899i | −0.420319 | − | 0.907377i | \(-0.638082\pi\) |
0.261268 | + | 0.965266i | \(0.415860\pi\) | |||||||
\(132\) | −12.2915 | −1.06984 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0.645751 | 0.0557844 | ||||||||
\(135\) | 4.09166 | − | 1.48924i | 0.352154 | − | 0.128173i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 11.9373 | − | 10.0166i | 1.01987 | − | 0.855773i | 0.0302590 | − | 0.999542i | \(-0.490367\pi\) |
0.989611 | + | 0.143769i | \(0.0459224\pi\) | |||||||
\(138\) | −3.33555 | − | 2.79886i | −0.283941 | − | 0.238255i | ||||
\(139\) | 3.23780 | + | 18.3625i | 0.274627 | + | 1.55749i | 0.740145 | + | 0.672447i | \(0.234757\pi\) |
−0.465518 | + | 0.885038i | \(0.654132\pi\) | |||||||
\(140\) | 3.00000 | + | 5.19615i | 0.253546 | + | 0.439155i | ||||
\(141\) | −5.76013 | + | 9.97684i | −0.485090 | + | 0.840201i | ||||
\(142\) | 2.54515 | + | 0.926361i | 0.213585 | + | 0.0777385i | ||||
\(143\) | 8.73116 | + | 3.17788i | 0.730136 | + | 0.265748i | ||||
\(144\) | −2.00000 | + | 3.46410i | −0.166667 | + | 0.288675i | ||||
\(145\) | 1.35425 | + | 2.34563i | 0.112464 | + | 0.194794i | ||||
\(146\) | 0.296677 | + | 1.68254i | 0.0245532 | + | 0.139248i | ||||
\(147\) | 12.7514 | + | 10.6997i | 1.05172 | + | 0.882495i | ||||
\(148\) | 0.271370 | − | 0.227707i | 0.0223065 | − | 0.0187174i | ||||
\(149\) | 1.89923 | − | 10.7711i | 0.155591 | − | 0.882402i | −0.802652 | − | 0.596448i | \(-0.796578\pi\) |
0.958243 | − | 0.285954i | \(-0.0923106\pi\) | |||||||
\(150\) | 5.69712 | − | 2.07358i | 0.465168 | − | 0.169307i | ||||
\(151\) | 12.9373 | 1.05282 | 0.526409 | − | 0.850231i | \(-0.323538\pi\) | ||||
0.526409 | + | 0.850231i | \(0.323538\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 15.9158 | − | 5.79288i | 1.28253 | − | 0.466804i | ||||
\(155\) | 1.61345 | − | 9.15034i | 0.129596 | − | 0.734973i | ||||
\(156\) | 4.05353 | − | 3.40131i | 0.324542 | − | 0.272323i | ||||
\(157\) | −8.10705 | − | 6.80262i | −0.647013 | − | 0.542909i | 0.259150 | − | 0.965837i | \(-0.416558\pi\) |
−0.906163 | + | 0.422929i | \(0.861002\pi\) | |||||||
\(158\) | −0.694593 | − | 3.93923i | −0.0552588 | − | 0.313388i | ||||
\(159\) | 16.6458 | + | 28.8313i | 1.32009 | + | 2.28647i | ||||
\(160\) | 0.822876 | − | 1.42526i | 0.0650540 | − | 0.112677i | ||||
\(161\) | 5.63816 | + | 2.05212i | 0.444349 | + | 0.161730i | ||||
\(162\) | 4.69846 | + | 1.71010i | 0.369146 | + | 0.134358i | ||||
\(163\) | −1.96863 | + | 3.40976i | −0.154195 | + | 0.267073i | −0.932766 | − | 0.360484i | \(-0.882612\pi\) |
0.778571 | + | 0.627557i | \(0.215945\pi\) | |||||||
\(164\) | 0.145751 | + | 0.252449i | 0.0113813 | + | 0.0197129i | ||||
\(165\) | 3.51269 | + | 19.9214i | 0.273462 | + | 1.55088i | ||||
\(166\) | 6.08029 | + | 5.10197i | 0.471922 | + | 0.395990i | ||||
\(167\) | −9.19253 | + | 7.71345i | −0.711340 | + | 0.596885i | −0.924975 | − | 0.380029i | \(-0.875914\pi\) |
0.213635 | + | 0.976914i | \(0.431470\pi\) | |||||||
\(168\) | 1.67497 | − | 9.49921i | 0.129227 | − | 0.732880i | ||||
\(169\) | 8.45723 | − | 3.07818i | 0.650556 | − | 0.236783i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 11.2915 | 0.860969 | ||||||||
\(173\) | 5.63816 | − | 2.05212i | 0.428661 | − | 0.156020i | −0.118674 | − | 0.992933i | \(-0.537864\pi\) |
0.547335 | + | 0.836913i | \(0.315642\pi\) | |||||||
\(174\) | 0.756107 | − | 4.28810i | 0.0573204 | − | 0.325080i | ||||
\(175\) | −6.39973 | + | 5.37001i | −0.483774 | + | 0.405934i | ||||
\(176\) | −3.55885 | − | 2.98623i | −0.268259 | − | 0.225096i | ||||
\(177\) | −3.64661 | − | 20.6810i | −0.274096 | − | 1.55448i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.03137 | + | 3.51844i | −0.151832 | + | 0.262981i | −0.931901 | − | 0.362713i | \(-0.881851\pi\) |
0.780069 | + | 0.625693i | \(0.215184\pi\) | |||||||
\(180\) | 6.18600 | + | 2.25152i | 0.461077 | + | 0.167818i | ||||
\(181\) | −20.8882 | − | 7.60268i | −1.55261 | − | 0.565103i | −0.583580 | − | 0.812056i | \(-0.698349\pi\) |
−0.969028 | + | 0.246953i | \(0.920571\pi\) | |||||||
\(182\) | −3.64575 | + | 6.31463i | −0.270241 | + | 0.468071i | ||||
\(183\) | −1.23987 | − | 2.14752i | −0.0916539 | − | 0.158749i | ||||
\(184\) | −0.285782 | − | 1.62075i | −0.0210681 | − | 0.119483i | ||||
\(185\) | −0.446608 | − | 0.374749i | −0.0328353 | − | 0.0275521i | ||||
\(186\) | −11.4426 | + | 9.60148i | −0.839012 | + | 0.704015i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −4.09166 | + | 1.48924i | −0.298415 | + | 0.108614i | ||||
\(189\) | 9.64575 | 0.701625 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.58301 | 0.476330 | 0.238165 | − | 0.971225i | \(-0.423454\pi\) | ||||
0.238165 | + | 0.971225i | \(0.423454\pi\) | |||||||
\(192\) | −2.48619 | + | 0.904900i | −0.179426 | + | 0.0653055i | ||||
\(193\) | 2.53231 | − | 14.3615i | 0.182280 | − | 1.03376i | −0.747121 | − | 0.664688i | \(-0.768564\pi\) |
0.929401 | − | 0.369072i | \(-0.120324\pi\) | |||||||
\(194\) | −2.84087 | + | 2.38378i | −0.203963 | + | 0.171145i | ||||
\(195\) | −6.67110 | − | 5.59771i | −0.477727 | − | 0.400861i | ||||
\(196\) | 1.09251 | + | 6.19592i | 0.0780363 | + | 0.442566i | ||||
\(197\) | 3.82288 | + | 6.62141i | 0.272369 | + | 0.471756i | 0.969468 | − | 0.245218i | \(-0.0788597\pi\) |
−0.697099 | + | 0.716975i | \(0.745526\pi\) | |||||||
\(198\) | 9.29150 | − | 16.0934i | 0.660318 | − | 1.14370i | ||||
\(199\) | 18.6759 | + | 6.79748i | 1.32390 | + | 0.481861i | 0.904706 | − | 0.426035i | \(-0.140090\pi\) |
0.419195 | + | 0.907896i | \(0.362312\pi\) | |||||||
\(200\) | 2.15331 | + | 0.783740i | 0.152262 | + | 0.0554188i | ||||
\(201\) | −0.854249 | + | 1.47960i | −0.0602541 | + | 0.104363i | ||||
\(202\) | 6.82288 | + | 11.8176i | 0.480056 | + | 0.831481i | ||||
\(203\) | 1.04189 | + | 5.90885i | 0.0731263 | + | 0.414720i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.367503 | − | 0.308371i | 0.0256675 | − | 0.0215376i | ||||
\(206\) | −2.30805 | + | 13.0896i | −0.160809 | + | 0.911994i | ||||
\(207\) | 6.18600 | − | 2.25152i | 0.429957 | − | 0.156491i | ||||
\(208\) | 2.00000 | 0.138675 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −15.8745 | −1.09545 | ||||||||
\(211\) | 12.4899 | − | 4.54596i | 0.859842 | − | 0.312957i | 0.125796 | − | 0.992056i | \(-0.459852\pi\) |
0.734046 | + | 0.679099i | \(0.237629\pi\) | |||||||
\(212\) | −2.18502 | + | 12.3918i | −0.150068 | + | 0.851075i | ||||
\(213\) | −5.48948 | + | 4.60622i | −0.376133 | + | 0.315613i | ||||
\(214\) | 11.7140 | + | 9.82919i | 0.800751 | + | 0.671909i | ||||
\(215\) | −3.22690 | − | 18.3007i | −0.220073 | − | 1.24810i | ||||
\(216\) | −1.32288 | − | 2.29129i | −0.0900103 | − | 0.155902i | ||||
\(217\) | 10.2915 | − | 17.8254i | 0.698633 | − | 1.21007i | ||||
\(218\) | −13.7035 | − | 4.98768i | −0.928121 | − | 0.337808i | ||||
\(219\) | −4.24765 | − | 1.54602i | −0.287030 | − | 0.104470i | ||||
\(220\) | −3.82288 | + | 6.62141i | −0.257738 | + | 0.446416i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0.162752 | + | 0.923015i | 0.0109232 | + | 0.0619487i | ||||
\(223\) | −14.4106 | − | 12.0920i | −0.965008 | − | 0.809738i | 0.0167523 | − | 0.999860i | \(-0.494667\pi\) |
−0.981761 | + | 0.190122i | \(0.939112\pi\) | |||||||
\(224\) | 2.79281 | − | 2.34344i | 0.186602 | − | 0.156578i | ||||
\(225\) | −1.59166 | + | 9.02676i | −0.106111 | + | 0.601784i | ||||
\(226\) | 14.6432 | − | 5.32970i | 0.974054 | − | 0.354526i | ||||
\(227\) | −7.35425 | −0.488119 | −0.244059 | − | 0.969760i | \(-0.578479\pi\) | ||||
−0.244059 | + | 0.969760i | \(0.578479\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.0000 | 1.32164 | 0.660819 | − | 0.750546i | \(-0.270209\pi\) | ||||
0.660819 | + | 0.750546i | \(0.270209\pi\) | |||||||
\(230\) | −2.54515 | + | 0.926361i | −0.167823 | + | 0.0610824i | ||||
\(231\) | −7.78148 | + | 44.1310i | −0.511984 | + | 2.90360i | ||||
\(232\) | 1.26072 | − | 1.05787i | 0.0827702 | − | 0.0694525i | ||||
\(233\) | 14.4587 | + | 12.1323i | 0.947222 | + | 0.794813i | 0.978827 | − | 0.204687i | \(-0.0656177\pi\) |
−0.0316058 | + | 0.999500i | \(0.510062\pi\) | |||||||
\(234\) | 1.38919 | + | 7.87846i | 0.0908139 | + | 0.515031i | ||||
\(235\) | 3.58301 | + | 6.20595i | 0.233729 | + | 0.404831i | ||||
\(236\) | 3.96863 | − | 6.87386i | 0.258336 | − | 0.447450i | ||||
\(237\) | 9.94477 | + | 3.61960i | 0.645982 | + | 0.235118i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.00000 | − | 10.3923i | 0.388108 | − | 0.672222i | −0.604087 | − | 0.796918i | \(-0.706462\pi\) |
0.992195 | + | 0.124696i | \(0.0397955\pi\) | |||||||
\(240\) | 2.17712 | + | 3.77089i | 0.140533 | + | 0.243410i | ||||
\(241\) | −1.31678 | − | 7.46780i | −0.0848209 | − | 0.481043i | −0.997395 | − | 0.0721322i | \(-0.977020\pi\) |
0.912574 | − | 0.408911i | \(-0.134091\pi\) | |||||||
\(242\) | 8.10705 | + | 6.80262i | 0.521141 | + | 0.437289i | ||||
\(243\) | −16.2141 | + | 13.6052i | −1.04014 | + | 0.872777i | ||||
\(244\) | 0.162752 | − | 0.923015i | 0.0104192 | − | 0.0590900i | ||||
\(245\) | 9.72981 | − | 3.54136i | 0.621615 | − | 0.226249i | ||||
\(246\) | −0.771243 | −0.0491727 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −5.64575 | −0.358506 | ||||||||
\(249\) | −19.7335 | + | 7.18242i | −1.25056 | + | 0.455168i | ||||
\(250\) | 2.08378 | − | 11.8177i | 0.131790 | − | 0.747417i | ||||
\(251\) | 22.3905 | − | 18.7879i | 1.41328 | − | 1.18588i | 0.458450 | − | 0.888720i | \(-0.348405\pi\) |
0.954828 | − | 0.297160i | \(-0.0960396\pi\) | |||||||
\(252\) | 11.1712 | + | 9.37378i | 0.703721 | + | 0.590492i | ||||
\(253\) | 1.32767 | + | 7.52960i | 0.0834699 | + | 0.473382i | ||||
\(254\) | 6.64575 | + | 11.5108i | 0.416992 | + | 0.722251i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −11.5502 | − | 4.20394i | −0.720484 | − | 0.262235i | −0.0443527 | − | 0.999016i | \(-0.514123\pi\) |
−0.676131 | + | 0.736781i | \(0.736345\pi\) | |||||||
\(258\) | −14.9373 | + | 25.8721i | −0.929953 | + | 1.61073i | ||||
\(259\) | −0.645751 | − | 1.11847i | −0.0401250 | − | 0.0694986i | ||||
\(260\) | −0.571563 | − | 3.24150i | −0.0354469 | − | 0.201029i | ||||
\(261\) | 5.04287 | + | 4.23147i | 0.312146 | + | 0.261922i | ||||
\(262\) | 1.48402 | − | 1.24524i | 0.0916832 | − | 0.0769314i | ||||
\(263\) | −1.89923 | + | 10.7711i | −0.117112 | + | 0.664174i | 0.868571 | + | 0.495565i | \(0.165039\pi\) |
−0.985683 | + | 0.168609i | \(0.946072\pi\) | |||||||
\(264\) | 11.5502 | − | 4.20394i | 0.710868 | − | 0.258735i | ||||
\(265\) | 20.7085 | 1.27211 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.606808 | + | 0.220860i | −0.0370667 | + | 0.0134912i | ||||
\(269\) | 0 | 0 | −0.984808 | − | 0.173648i | \(-0.944444\pi\) | ||||
0.984808 | + | 0.173648i | \(0.0555556\pi\) | |||||||
\(270\) | −3.33555 | + | 2.79886i | −0.202995 | + | 0.170333i | ||||
\(271\) | 9.46390 | + | 7.94116i | 0.574891 | + | 0.482391i | 0.883265 | − | 0.468874i | \(-0.155340\pi\) |
−0.308374 | + | 0.951265i | \(0.599785\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −9.64575 | − | 16.7069i | −0.583787 | − | 1.01115i | ||||
\(274\) | −7.79150 | + | 13.4953i | −0.470702 | + | 0.815280i | ||||
\(275\) | −10.0037 | − | 3.64106i | −0.603248 | − | 0.219564i | ||||
\(276\) | 4.09166 | + | 1.48924i | 0.246289 | + | 0.0896418i | ||||
\(277\) | 13.7601 | − | 23.8332i | 0.826766 | − | 1.43200i | −0.0737960 | − | 0.997273i | \(-0.523511\pi\) |
0.900562 | − | 0.434727i | \(-0.143155\pi\) | |||||||
\(278\) | −9.32288 | − | 16.1477i | −0.559149 | − | 0.968474i | ||||
\(279\) | −3.92150 | − | 22.2399i | −0.234774 | − | 1.33147i | ||||
\(280\) | −4.59627 | − | 3.85673i | −0.274679 | − | 0.230483i | ||||
\(281\) | 19.5016 | − | 16.3638i | 1.16337 | − | 0.976181i | 0.163421 | − | 0.986556i | \(-0.447747\pi\) |
0.999946 | + | 0.0103755i | \(0.00330269\pi\) | |||||||
\(282\) | 2.00047 | − | 11.3452i | 0.119126 | − | 0.675599i | ||||
\(283\) | −28.7976 | + | 10.4815i | −1.71184 | + | 0.623058i | −0.997084 | − | 0.0763164i | \(-0.975684\pi\) |
−0.714755 | + | 0.699375i | \(0.753462\pi\) | |||||||
\(284\) | −2.70850 | −0.160720 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.29150 | −0.549418 | ||||||||
\(287\) | 0.998655 | − | 0.363481i | 0.0589487 | − | 0.0214556i | ||||
\(288\) | 0.694593 | − | 3.93923i | 0.0409293 | − | 0.232121i | ||||
\(289\) | −13.0228 | + | 10.9274i | −0.766044 | + | 0.642788i | ||||
\(290\) | −2.07483 | − | 1.74099i | −0.121838 | − | 0.102234i | ||||
\(291\) | −1.70379 | − | 9.66270i | −0.0998782 | − | 0.566437i | ||||
\(292\) | −0.854249 | − | 1.47960i | −0.0499911 | − | 0.0865872i | ||||
\(293\) | −14.4686 | + | 25.0604i | −0.845266 | + | 1.46404i | 0.0401236 | + | 0.999195i | \(0.487225\pi\) |
−0.885390 | + | 0.464849i | \(0.846109\pi\) | |||||||
\(294\) | −15.6419 | − | 5.69318i | −0.912254 | − | 0.332033i | ||||
\(295\) | −12.2750 | − | 4.46772i | −0.714676 | − | 0.260121i | ||||
\(296\) | −0.177124 | + | 0.306788i | −0.0102951 | + | 0.0178317i | ||||
\(297\) | 6.14575 | + | 10.6448i | 0.356613 | + | 0.617671i | ||||
\(298\) | 1.89923 | + | 10.7711i | 0.110020 | + | 0.623953i | ||||
\(299\) | −2.52144 | − | 2.11574i | −0.145818 | − | 0.122356i | ||||
\(300\) | −4.64433 | + | 3.89706i | −0.268141 | + | 0.224997i | ||||
\(301\) | 7.14840 | − | 40.5406i | 0.412027 | − | 2.33672i | ||||
\(302\) | −12.1570 | + | 4.42480i | −0.699559 | + | 0.254619i | ||||
\(303\) | −36.1033 | −2.07408 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.54249 | −0.0883225 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.112134 | − | 0.635941i | 0.00639980 | − | 0.0362951i | −0.981441 | − | 0.191766i | \(-0.938578\pi\) |
0.987840 | + | 0.155471i | \(0.0496896\pi\) | |||||||
\(308\) | −12.9747 | + | 10.8871i | −0.739302 | + | 0.620348i | ||||
\(309\) | −26.9387 | − | 22.6043i | −1.53249 | − | 1.28591i | ||||
\(310\) | 1.61345 | + | 9.15034i | 0.0916379 | + | 0.519705i | ||||
\(311\) | −6.82288 | − | 11.8176i | −0.386890 | − | 0.670113i | 0.605140 | − | 0.796119i | \(-0.293117\pi\) |
−0.992029 | + | 0.126007i | \(0.959784\pi\) | |||||||
\(312\) | −2.64575 | + | 4.58258i | −0.149786 | + | 0.259437i | ||||
\(313\) | −8.33931 | − | 3.03526i | −0.471366 | − | 0.171563i | 0.0954052 | − | 0.995439i | \(-0.469585\pi\) |
−0.566771 | + | 0.823875i | \(0.691808\pi\) | |||||||
\(314\) | 9.94477 | + | 3.61960i | 0.561216 | + | 0.204266i | ||||
\(315\) | 12.0000 | − | 20.7846i | 0.676123 | − | 1.17108i | ||||
\(316\) | 2.00000 | + | 3.46410i | 0.112509 | + | 0.194871i | ||||
\(317\) | −1.04189 | − | 5.90885i | −0.0585183 | − | 0.331874i | 0.941468 | − | 0.337102i | \(-0.109447\pi\) |
−0.999986 | + | 0.00522845i | \(0.998336\pi\) | |||||||
\(318\) | −25.5028 | − | 21.3994i | −1.43012 | − | 1.20002i | ||||
\(319\) | −5.85699 | + | 4.91459i | −0.327928 | + | 0.275164i | ||||
\(320\) | −0.285782 | + | 1.62075i | −0.0159757 | + | 0.0906026i | ||||
\(321\) | −38.0176 | + | 13.8373i | −2.12194 | + | 0.772322i | ||||
\(322\) | −6.00000 | −0.334367 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −5.00000 | −0.277778 | ||||||||
\(325\) | 4.30662 | − | 1.56748i | 0.238888 | − | 0.0869482i | ||||
\(326\) | 0.683697 | − | 3.87744i | 0.0378665 | − | 0.214751i | ||||
\(327\) | 29.5563 | − | 24.8007i | 1.63447 | − | 1.37148i | ||||
\(328\) | −0.223304 | − | 0.187374i | −0.0123299 | − | 0.0103460i | ||||
\(329\) | 2.75658 | + | 15.6333i | 0.151975 | + | 0.861894i | ||||
\(330\) | −10.1144 | − | 17.5186i | −0.556778 | − | 0.964368i | ||||
\(331\) | −9.90588 | + | 17.1575i | −0.544476 | + | 0.943061i | 0.454163 | + | 0.890919i | \(0.349938\pi\) |
−0.998640 | + | 0.0521424i | \(0.983395\pi\) | |||||||
\(332\) | −7.45858 | − | 2.71470i | −0.409343 | − | 0.148989i | ||||
\(333\) | −1.33154 | − | 0.484641i | −0.0729679 | − | 0.0265581i | ||||
\(334\) | 6.00000 | − | 10.3923i | 0.328305 | − | 0.568642i | ||||
\(335\) | 0.531373 | + | 0.920365i | 0.0290320 | + | 0.0502849i | ||||
\(336\) | 1.67497 | + | 9.49921i | 0.0913769 | + | 0.518224i | ||||
\(337\) | −7.43714 | − | 6.24050i | −0.405127 | − | 0.339942i | 0.417344 | − | 0.908748i | \(-0.362961\pi\) |
−0.822471 | + | 0.568807i | \(0.807405\pi\) | |||||||
\(338\) | −6.89440 | + | 5.78509i | −0.375006 | + | 0.314667i | ||||
\(339\) | −7.15930 | + | 40.6024i | −0.388840 | + | 2.20522i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 26.2288 | 1.42037 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.58301 | −0.139469 | ||||||||
\(344\) | −10.6105 | + | 3.86192i | −0.572082 | + | 0.208221i | ||||
\(345\) | 1.24436 | − | 7.05714i | 0.0669943 | − | 0.379944i | ||||
\(346\) | −4.59627 | + | 3.85673i | −0.247097 | + | 0.207339i | ||||
\(347\) | −17.7943 | − | 14.9312i | −0.955246 | − | 0.801546i | 0.0249272 | − | 0.999689i | \(-0.492065\pi\) |
−0.980173 | + | 0.198143i | \(0.936509\pi\) | |||||||
\(348\) | 0.756107 | + | 4.28810i | 0.0405316 | + | 0.229866i | ||||
\(349\) | −10.5830 | − | 18.3303i | −0.566495 | − | 0.981199i | −0.996909 | − | 0.0785668i | \(-0.974966\pi\) |
0.430414 | − | 0.902632i | \(-0.358368\pi\) | |||||||
\(350\) | 4.17712 | − | 7.23499i | 0.223277 | − | 0.386727i | ||||
\(351\) | −4.97239 | − | 1.80980i | −0.265406 | − | 0.0966000i | ||||
\(352\) | 4.36558 | + | 1.58894i | 0.232686 | + | 0.0846908i | ||||
\(353\) | −6.43725 | + | 11.1497i | −0.342620 | + | 0.593436i | −0.984918 | − | 0.173019i | \(-0.944648\pi\) |
0.642298 | + | 0.766455i | \(0.277981\pi\) | |||||||
\(354\) | 10.5000 | + | 18.1865i | 0.558069 | + | 0.966603i | ||||
\(355\) | 0.774039 | + | 4.38979i | 0.0410817 | + | 0.232986i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.705488 | − | 4.00102i | 0.0372862 | − | 0.211461i | ||||
\(359\) | 4.63950 | − | 1.68864i | 0.244864 | − | 0.0891230i | −0.216673 | − | 0.976244i | \(-0.569521\pi\) |
0.461537 | + | 0.887121i | \(0.347298\pi\) | |||||||
\(360\) | −6.58301 | −0.346955 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 22.2288 | 1.16832 | ||||||||
\(363\) | −26.3114 | + | 9.57656i | −1.38099 | + | 0.502639i | ||||
\(364\) | 1.26616 | − | 7.18073i | 0.0663646 | − | 0.376372i | ||||
\(365\) | −2.15393 | + | 1.80737i | −0.112742 | + | 0.0946018i | ||||
\(366\) | 1.89959 | + | 1.59395i | 0.0992932 | + | 0.0833169i | ||||
\(367\) | 2.81809 | + | 15.9822i | 0.147103 | + | 0.834264i | 0.965654 | + | 0.259830i | \(0.0836667\pi\) |
−0.818551 | + | 0.574434i | \(0.805222\pi\) | |||||||
\(368\) | 0.822876 | + | 1.42526i | 0.0428954 | + | 0.0742969i | ||||
\(369\) | 0.583005 | − | 1.00979i | 0.0303500 | − | 0.0525678i | ||||
\(370\) | 0.547846 | + | 0.199400i | 0.0284811 | + | 0.0103663i | ||||
\(371\) | 43.1079 | + | 15.6900i | 2.23805 | + | 0.814585i | ||||
\(372\) | 7.46863 | − | 12.9360i | 0.387230 | − | 0.670703i | ||||
\(373\) | 2.00000 | + | 3.46410i | 0.103556 | + | 0.179364i | 0.913147 | − | 0.407630i | \(-0.133645\pi\) |
−0.809591 | + | 0.586994i | \(0.800311\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 24.3212 | + | 20.4079i | 1.25594 | + | 1.05386i | ||||
\(376\) | 3.33555 | − | 2.79886i | 0.172018 | − | 0.144340i | ||||
\(377\) | 0.571563 | − | 3.24150i | 0.0294370 | − | 0.166946i | ||||
\(378\) | −9.06404 | + | 3.29904i | −0.466204 | + | 0.169684i | ||||
\(379\) | 10.7085 | 0.550059 | 0.275029 | − | 0.961436i | \(-0.411312\pi\) | ||||
0.275029 | + | 0.961436i | \(0.411312\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −35.1660 | −1.80161 | ||||||||
\(382\) | −6.18600 | + | 2.25152i | −0.316503 | + | 0.115198i | ||||
\(383\) | 0.958583 | − | 5.43639i | 0.0489813 | − | 0.277787i | −0.950473 | − | 0.310806i | \(-0.899401\pi\) |
0.999455 | + | 0.0330191i | \(0.0105122\pi\) | |||||||
\(384\) | 2.02676 | − | 1.70066i | 0.103428 | − | 0.0867862i | ||||
\(385\) | 21.3531 | + | 17.9174i | 1.08826 | + | 0.913155i | ||||
\(386\) | 2.53231 | + | 14.3615i | 0.128891 | + | 0.730979i | ||||
\(387\) | −22.5830 | − | 39.1149i | −1.14796 | − | 1.98832i | ||||
\(388\) | 1.85425 | − | 3.21165i | 0.0941352 | − | 0.163047i | ||||
\(389\) | −11.2763 | − | 4.10424i | −0.571732 | − | 0.208093i | 0.0399440 | − | 0.999202i | \(-0.487282\pi\) |
−0.611676 | + | 0.791109i | \(0.709504\pi\) | |||||||
\(390\) | 8.18331 | + | 2.97848i | 0.414378 | + | 0.150821i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −3.14575 | − | 5.44860i | −0.158884 | − | 0.275196i | ||||
\(393\) | 0.890032 | + | 5.04762i | 0.0448962 | + | 0.254619i | ||||
\(394\) | −5.85699 | − | 4.91459i | −0.295071 | − | 0.247594i | ||||
\(395\) | 5.04287 | − | 4.23147i | 0.253735 | − | 0.212909i | ||||
\(396\) | −3.22690 | + | 18.3007i | −0.162158 | + | 0.919644i | ||||
\(397\) | −19.7925 | + | 7.20388i | −0.993357 | + | 0.361553i | −0.787019 | − | 0.616928i | \(-0.788377\pi\) |
−0.206338 | + | 0.978481i | \(0.566155\pi\) | |||||||
\(398\) | −19.8745 | −0.996219 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.29150 | −0.114575 | ||||||||
\(401\) | −25.9195 | + | 9.43394i | −1.29436 | + | 0.471109i | −0.895156 | − | 0.445753i | \(-0.852936\pi\) |
−0.399205 | + | 0.916862i | \(0.630714\pi\) | |||||||
\(402\) | 0.296677 | − | 1.68254i | 0.0147969 | − | 0.0839175i | ||||
\(403\) | −8.64979 | + | 7.25804i | −0.430877 | + | 0.361549i | ||||
\(404\) | −10.4533 | − | 8.77132i | −0.520069 | − | 0.436389i | ||||
\(405\) | 1.42891 | + | 8.10374i | 0.0710030 | + | 0.402678i | ||||
\(406\) | −3.00000 | − | 5.19615i | −0.148888 | − | 0.257881i | ||||
\(407\) | 0.822876 | − | 1.42526i | 0.0407884 | − | 0.0706476i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.12569 | + | 2.59354i | 0.352343 | + | 0.128242i | 0.512127 | − | 0.858910i | \(-0.328858\pi\) |
−0.159784 | + | 0.987152i | \(0.551080\pi\) | |||||||
\(410\) | −0.239870 | + | 0.415468i | −0.0118464 | + | 0.0205185i | ||||
\(411\) | −20.6144 | − | 35.7052i | −1.01683 | − | 1.76121i | ||||
\(412\) | −2.30805 | − | 13.0896i | −0.113709 | − | 0.644877i | ||||
\(413\) | −22.1672 | − | 18.6005i | −1.09078 | − | 0.915271i | ||||
\(414\) | −5.04287 | + | 4.23147i | −0.247844 | + | 0.207966i | ||||
\(415\) | −2.26832 | + | 12.8643i | −0.111348 | + | 0.631483i | ||||
\(416\) | −1.87939 | + | 0.684040i | −0.0921444 | + | 0.0335378i | ||||
\(417\) | 49.3320 | 2.41580 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −31.7490 | −1.55104 | −0.775520 | − | 0.631322i | \(-0.782512\pi\) | ||||
−0.775520 | + | 0.631322i | \(0.782512\pi\) | |||||||
\(420\) | 14.9172 | − | 5.42940i | 0.727883 | − | 0.264928i | ||||
\(421\) | −4.30852 | + | 24.4348i | −0.209984 | + | 1.19088i | 0.679417 | + | 0.733752i | \(0.262233\pi\) |
−0.889401 | + | 0.457128i | \(0.848878\pi\) | |||||||
\(422\) | −10.1819 | + | 8.54361i | −0.495646 | + | 0.415897i | ||||
\(423\) | 13.3422 | + | 11.1954i | 0.648720 | + | 0.544340i | ||||
\(424\) | −2.18502 | − | 12.3918i | −0.106114 | − | 0.601801i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.58301 | − | 6.20595i | 0.173597 | − | 0.300679i | ||||
\(427\) | −3.21092 | − | 1.16868i | −0.155388 | − | 0.0565564i | ||||
\(428\) | −14.3693 | − | 5.23000i | −0.694567 | − | 0.252802i | ||||
\(429\) | 12.2915 | − | 21.2895i | 0.593439 | − | 1.02787i | ||||
\(430\) | 9.29150 | + | 16.0934i | 0.448076 | + | 0.776090i | ||||
\(431\) | 4.84036 | + | 27.4510i | 0.233152 | + | 1.32227i | 0.846471 | + | 0.532435i | \(0.178723\pi\) |
−0.613319 | + | 0.789835i | \(0.710166\pi\) | |||||||
\(432\) | 2.02676 | + | 1.70066i | 0.0975127 | + | 0.0818229i | ||||
\(433\) | 13.6927 | − | 11.4895i | 0.658028 | − | 0.552151i | −0.251467 | − | 0.967866i | \(-0.580913\pi\) |
0.909495 | + | 0.415715i | \(0.136469\pi\) | |||||||
\(434\) | −3.57420 | + | 20.2703i | −0.171567 | + | 0.973006i | ||||
\(435\) | 6.73385 | − | 2.45092i | 0.322863 | − | 0.117513i | ||||
\(436\) | 14.5830 | 0.698399 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 4.52026 | 0.215986 | ||||||||
\(439\) | −10.1597 | + | 3.69784i | −0.484898 | + | 0.176488i | −0.572889 | − | 0.819633i | \(-0.694177\pi\) |
0.0879914 | + | 0.996121i | \(0.471955\pi\) | |||||||
\(440\) | 1.32767 | − | 7.52960i | 0.0632942 | − | 0.358959i | ||||
\(441\) | 19.2783 | − | 16.1764i | 0.918013 | − | 0.770305i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.84862 | + | 10.4840i | 0.0878304 | + | 0.498111i | 0.996710 | + | 0.0810520i | \(0.0258280\pi\) |
−0.908880 | + | 0.417059i | \(0.863061\pi\) | |||||||
\(444\) | −0.468627 | − | 0.811686i | −0.0222401 | − | 0.0385209i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 17.6773 | + | 6.43400i | 0.837043 | + | 0.304659i | ||||
\(447\) | −27.1921 | − | 9.89712i | −1.28614 | − | 0.468118i | ||||
\(448\) | −1.82288 | + | 3.15731i | −0.0861228 | + | 0.149169i | ||||
\(449\) | 12.1458 | + | 21.0371i | 0.573193 | + | 0.992800i | 0.996235 | + | 0.0866900i | \(0.0276290\pi\) |
−0.423042 | + | 0.906110i | \(0.639038\pi\) | |||||||
\(450\) | −1.59166 | − | 9.02676i | −0.0750316 | − | 0.425525i | ||||
\(451\) | 1.03741 | + | 0.870494i | 0.0488499 | + | 0.0409900i | ||||
\(452\) | −11.9373 | + | 10.0166i | −0.561482 | + | 0.471139i | ||||
\(453\) | 5.94376 | − | 33.7087i | 0.279262 | − | 1.58377i | ||||
\(454\) | 6.91073 | − | 2.51530i | 0.324337 | − | 0.118049i | ||||
\(455\) | −12.0000 | −0.562569 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 32.8745 | 1.53780 | 0.768902 | − | 0.639366i | \(-0.220803\pi\) | ||||
0.768902 | + | 0.639366i | \(0.220803\pi\) | |||||||
\(458\) | −18.7939 | + | 6.84040i | −0.878179 | + | 0.319631i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.07483 | − | 1.74099i | 0.0967394 | − | 0.0811740i | ||||
\(461\) | 14.6820 | + | 12.3197i | 0.683810 | + | 0.573784i | 0.917117 | − | 0.398619i | \(-0.130510\pi\) |
−0.233307 | + | 0.972403i | \(0.574955\pi\) | |||||||
\(462\) | −7.78148 | − | 44.1310i | −0.362027 | − | 2.05316i | ||||
\(463\) | 19.2288 | + | 33.3052i | 0.893636 | + | 1.54782i | 0.835484 | + | 0.549515i | \(0.185188\pi\) |
0.0581525 | + | 0.998308i | \(0.481479\pi\) | |||||||
\(464\) | −0.822876 | + | 1.42526i | −0.0382010 | + | 0.0661661i | ||||
\(465\) | −23.1005 | − | 8.40788i | −1.07126 | − | 0.389906i | ||||
\(466\) | −17.7362 | − | 6.45546i | −0.821615 | − | 0.299043i | ||||
\(467\) | 9.67712 | − | 16.7613i | 0.447804 | − | 0.775619i | −0.550439 | − | 0.834875i | \(-0.685540\pi\) |
0.998243 | + | 0.0592563i | \(0.0188729\pi\) | |||||||
\(468\) | −4.00000 | − | 6.92820i | −0.184900 | − | 0.320256i | ||||
\(469\) | 0.408811 | + | 2.31848i | 0.0188771 | + | 0.107058i | ||||
\(470\) | −5.48948 | − | 4.60622i | −0.253211 | − | 0.212469i | ||||
\(471\) | −21.4492 | + | 17.9981i | −0.988329 | + | 0.829307i | ||||
\(472\) | −1.37829 | + | 7.81667i | −0.0634409 | + | 0.359791i | ||||
\(473\) | 49.2939 | − | 17.9415i | 2.26654 | − | 0.824952i | ||||
\(474\) | −10.5830 | −0.486094 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 47.2966 | − | 17.2146i | 2.16556 | − | 0.788201i | ||||
\(478\) | −2.08378 | + | 11.8177i | −0.0953098 | + | 0.540529i | ||||
\(479\) | 5.04287 | − | 4.23147i | 0.230415 | − | 0.193341i | −0.520269 | − | 0.854002i | \(-0.674168\pi\) |
0.750684 | + | 0.660661i | \(0.229724\pi\) | |||||||
\(480\) | −3.33555 | − | 2.79886i | −0.152246 | − | 0.127750i | ||||
\(481\) | 0.123029 | + | 0.697734i | 0.00560965 | + | 0.0318139i | ||||
\(482\) | 3.79150 | + | 6.56708i | 0.172698 | + | 0.299122i | ||||
\(483\) | 7.93725 | − | 13.7477i | 0.361158 | − | 0.625543i | ||||
\(484\) | −9.94477 | − | 3.61960i | −0.452035 | − | 0.164527i | ||||
\(485\) | −5.73519 | − | 2.08744i | −0.260422 | − | 0.0947857i | ||||
\(486\) | 10.5830 | − | 18.3303i | 0.480055 | − | 0.831479i | ||||
\(487\) | −2.11438 | − | 3.66221i | −0.0958116 | − | 0.165951i | 0.814135 | − | 0.580675i | \(-0.197211\pi\) |
−0.909947 | + | 0.414724i | \(0.863878\pi\) | |||||||
\(488\) | 0.162752 | + | 0.923015i | 0.00736746 | + | 0.0417829i | ||||
\(489\) | 7.97988 | + | 6.69592i | 0.360863 | + | 0.302800i | ||||
\(490\) | −7.93181 | + | 6.65558i | −0.358323 | + | 0.300669i | ||||
\(491\) | 6.82290 | − | 38.6946i | 0.307913 | − | 1.74626i | −0.301553 | − | 0.953449i | \(-0.597505\pi\) |
0.609466 | − | 0.792812i | \(-0.291384\pi\) | |||||||
\(492\) | 0.724732 | − | 0.263781i | 0.0326734 | − | 0.0118922i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 30.5830 | 1.37460 | ||||||||
\(496\) | 5.30527 | − | 1.93096i | 0.238214 | − | 0.0867027i | ||||
\(497\) | −1.71469 | + | 9.72449i | −0.0769144 | + | 0.436203i | ||||
\(498\) | 16.0869 | − | 13.4985i | 0.720873 | − | 0.604884i | ||||
\(499\) | −3.65498 | − | 3.06690i | −0.163620 | − | 0.137293i | 0.557302 | − | 0.830310i | \(-0.311837\pi\) |
−0.720921 | + | 0.693017i | \(0.756281\pi\) | |||||||
\(500\) | 2.08378 | + | 11.8177i | 0.0931894 | + | 0.528503i | ||||
\(501\) | 15.8745 | + | 27.4955i | 0.709221 | + | 1.22841i | ||||
\(502\) | −14.6144 | + | 25.3128i | −0.652272 | + | 1.12977i | ||||
\(503\) | 38.4684 | + | 14.0014i | 1.71522 | + | 0.624290i | 0.997409 | − | 0.0719447i | \(-0.0229205\pi\) |
0.717814 | + | 0.696235i | \(0.245143\pi\) | |||||||
\(504\) | −13.7035 | − | 4.98768i | −0.610404 | − | 0.222169i | ||||
\(505\) | −11.2288 | + | 19.4488i | −0.499673 | + | 0.865459i | ||||
\(506\) | −3.82288 | − | 6.62141i | −0.169948 | − | 0.294358i | ||||
\(507\) | −4.13487 | − | 23.4500i | −0.183636 | − | 1.04145i | ||||
\(508\) | −10.1819 | − | 8.54361i | −0.451748 | − | 0.379062i | ||||
\(509\) | −24.3212 | + | 20.4079i | −1.07802 | + | 0.904563i | −0.995755 | − | 0.0920477i | \(-0.970659\pi\) |
−0.0822617 | + | 0.996611i | \(0.526214\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.85312 | + | 2.13036i | −0.258927 | + | 0.0942416i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.2915 | 0.542155 | ||||||||
\(515\) | −20.5553 | + | 7.48152i | −0.905775 | + | 0.329675i | ||||
\(516\) | 5.18765 | − | 29.4206i | 0.228374 | − | 1.29517i | ||||
\(517\) | −15.4961 | + | 13.0028i | −0.681519 | + | 0.571862i | ||||
\(518\) | 0.989348 | + | 0.830162i | 0.0434695 | + | 0.0364752i | ||||
\(519\) | −2.75658 | − | 15.6333i | −0.121000 | − | 0.686227i | ||||
\(520\) | 1.64575 | + | 2.85052i | 0.0721710 | + | 0.125004i | ||||
\(521\) | 5.85425 | − | 10.1399i | 0.256479 | − | 0.444235i | −0.708817 | − | 0.705392i | \(-0.750771\pi\) |
0.965296 | + | 0.261157i | \(0.0841041\pi\) | |||||||
\(522\) | −6.18600 | − | 2.25152i | −0.270754 | − | 0.0985464i | ||||
\(523\) | 1.76146 | + | 0.641119i | 0.0770233 | + | 0.0280342i | 0.380244 | − | 0.924886i | \(-0.375840\pi\) |
−0.303221 | + | 0.952920i | \(0.598062\pi\) | |||||||
\(524\) | −0.968627 | + | 1.67771i | −0.0423147 | + | 0.0732912i | ||||
\(525\) | 11.0516 | + | 19.1420i | 0.482333 | + | 0.835425i | ||||
\(526\) | −1.89923 | − | 10.7711i | −0.0828105 | − | 0.469642i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −9.41584 | + | 7.90083i | −0.409772 | + | 0.343839i | ||||
\(529\) | −3.52358 | + | 19.9832i | −0.153199 | + | 0.868836i | ||||
\(530\) | −19.4596 | + | 7.08272i | −0.845272 | + | 0.307654i | ||||
\(531\) | −31.7490 | −1.37779 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.583005 | −0.0252528 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.37003 | + | 24.7837i | −0.188933 | + | 1.07149i | ||||
\(536\) | 0.494674 | − | 0.415081i | 0.0213667 | − | 0.0179288i | ||||
\(537\) | 8.23422 | + | 6.90933i | 0.355333 | + | 0.298160i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 14.6144 | + | 25.3128i | 0.629486 | + | 1.09030i | ||||
\(540\) | 2.17712 | − | 3.77089i | 0.0936885 | − | 0.162273i | ||||
\(541\) | −7.51754 | − | 2.73616i | −0.323204 | − | 0.117637i | 0.175322 | − | 0.984511i | \(-0.443903\pi\) |
−0.498527 | + | 0.866874i | \(0.666125\pi\) | |||||||
\(542\) | −11.6092 | − | 4.22540i | −0.498658 | − | 0.181497i | ||||
\(543\) | −29.4059 | + | 50.9325i | −1.26193 | + | 2.18572i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −4.16756 | − | 23.6354i | −0.178518 | − | 1.01243i | ||||
\(546\) | 14.7781 | + | 12.4003i | 0.632446 | + | 0.530686i | ||||
\(547\) | 8.64979 | − | 7.25804i | 0.369838 | − | 0.310331i | −0.438859 | − | 0.898556i | \(-0.644617\pi\) |
0.808698 | + | 0.588225i | \(0.200173\pi\) | |||||||
\(548\) | 2.70596 | − | 15.3463i | 0.115593 | − | 0.655560i | ||||
\(549\) | −3.52292 | + | 1.28224i | −0.150355 | + | 0.0547246i | ||||
\(550\) | 10.6458 | 0.453936 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −4.35425 | −0.185329 | ||||||||
\(553\) | 13.7035 | − | 4.98768i | 0.582734 | − | 0.212098i | ||||
\(554\) | −4.77884 | + | 27.1022i | −0.203034 | + | 1.15146i | ||||
\(555\) | −1.18161 | + | 0.991491i | −0.0501567 | + | 0.0420865i | ||||
\(556\) | 14.2835 | + | 11.9853i | 0.605754 | + | 0.508288i | ||||
\(557\) | −0.940651 | − | 5.33470i | −0.0398567 | − | 0.226038i | 0.958373 | − | 0.285520i | \(-0.0921663\pi\) |
−0.998229 | + | 0.0594817i | \(0.981055\pi\) | |||||||
\(558\) | 11.2915 | + | 19.5575i | 0.478007 | + | 0.827933i | ||||
\(559\) | −11.2915 | + | 19.5575i | −0.477580 | + | 0.827192i | ||||
\(560\) | 5.63816 | + | 2.05212i | 0.238256 | + | 0.0867179i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.7288 | + | 22.0469i | −0.536930 | + | 0.929990i | ||||
\(563\) | −5.03137 | − | 8.71459i | −0.212047 | − | 0.367276i | 0.740308 | − | 0.672268i | \(-0.234680\pi\) |
−0.952355 | + | 0.304992i | \(0.901346\pi\) | |||||||
\(564\) | 2.00047 | + | 11.3452i | 0.0842351 | + | 0.477721i | ||||
\(565\) | 19.6458 | + | 16.4848i | 0.826504 | + | 0.693520i | ||||
\(566\) | 23.4760 | − | 19.6987i | 0.986770 | − | 0.827999i | ||||
\(567\) | −3.16539 | + | 17.9518i | −0.132934 | + | 0.753906i | ||||
\(568\) | 2.54515 | − | 0.926361i | 0.106792 | − | 0.0388692i | ||||
\(569\) | 6.58301 | 0.275974 | 0.137987 | − | 0.990434i | \(-0.455937\pi\) | ||||
0.137987 | + | 0.990434i | \(0.455937\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.81176 | 0.326912 | 0.163456 | − | 0.986551i | \(-0.447736\pi\) | ||||
0.163456 | + | 0.986551i | \(0.447736\pi\) | |||||||
\(572\) | 8.73116 | − | 3.17788i | 0.365068 | − | 0.132874i | ||||
\(573\) | 3.02443 | − | 17.1524i | 0.126347 | − | 0.716551i | ||||
\(574\) | −0.814111 | + | 0.683120i | −0.0339803 | + | 0.0285129i | ||||
\(575\) | 2.88894 | + | 2.42411i | 0.120477 | + | 0.101092i | ||||
\(576\) | 0.694593 | + | 3.93923i | 0.0289414 | + | 0.164135i | ||||
\(577\) | −5.50000 | − | 9.52628i | −0.228968 | − | 0.396584i | 0.728535 | − | 0.685009i | \(-0.240202\pi\) |
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | 8.50000 | − | 14.7224i | 0.353553 | − | 0.612372i | ||||
\(579\) | −36.2562 | − | 13.1962i | −1.50675 | − | 0.548414i | ||||
\(580\) | 2.54515 | + | 0.926361i | 0.105682 | + | 0.0384650i | ||||
\(581\) | −14.4686 | + | 25.0604i | −0.600260 | + | 1.03968i | ||||
\(582\) | 4.90588 | + | 8.49723i | 0.203355 | + | 0.352222i | ||||
\(583\) | 10.1510 | + | 57.5694i | 0.420413 | + | 2.38428i | ||||
\(584\) | 1.30878 | + | 1.09820i | 0.0541579 | + | 0.0454439i | ||||
\(585\) | −10.0857 | + | 8.46295i | −0.416994 | + | 0.349900i | ||||
\(586\) | 5.02490 | − | 28.4976i | 0.207577 | − | 1.17723i | ||||
\(587\) | 13.2736 | − | 4.83120i | 0.547861 | − | 0.199405i | −0.0532349 | − | 0.998582i | \(-0.516953\pi\) |
0.601096 | + | 0.799177i | \(0.294731\pi\) | |||||||
\(588\) | 16.6458 | 0.686459 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 13.0627 | 0.537785 | ||||||||
\(591\) | 19.0088 | − | 6.91864i | 0.781918 | − | 0.284595i | ||||
\(592\) | 0.0615146 | − | 0.348867i | 0.00252824 | − | 0.0143383i | ||||
\(593\) | 22.7580 | − | 19.0963i | 0.934560 | − | 0.784189i | −0.0420702 | − | 0.999115i | \(-0.513395\pi\) |
0.976630 | + | 0.214925i | \(0.0689509\pi\) | |||||||
\(594\) | −9.41584 | − | 7.90083i | −0.386336 | − | 0.324175i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −5.46863 | − | 9.47194i | −0.224004 | − | 0.387986i | ||||
\(597\) | 26.2915 | − | 45.5382i | 1.07604 | − | 1.86376i | ||||
\(598\) | 3.09300 | + | 1.12576i | 0.126482 | + | 0.0460358i | ||||
\(599\) | 15.9158 | + | 5.79288i | 0.650302 | + | 0.236691i | 0.646044 | − | 0.763300i | \(-0.276422\pi\) |
0.00425849 | + | 0.999991i | \(0.498644\pi\) | |||||||
\(600\) | 3.03137 | − | 5.25049i | 0.123755 | − | 0.214350i | ||||
\(601\) | −5.20850 | − | 9.02138i | −0.212459 | − | 0.367990i | 0.740025 | − | 0.672580i | \(-0.234814\pi\) |
−0.952484 | + | 0.304590i | \(0.901481\pi\) | |||||||
\(602\) | 7.14840 | + | 40.5406i | 0.291347 | + | 1.65231i | ||||
\(603\) | 1.97870 | + | 1.66032i | 0.0805788 | + | 0.0676136i | ||||
\(604\) | 9.91051 | − | 8.31591i | 0.403253 | − | 0.338369i | ||||
\(605\) | −3.02443 | + | 17.1524i | −0.122961 | + | 0.697344i | ||||
\(606\) | 33.9260 | − | 12.3480i | 1.37815 | − | 0.501605i | ||||
\(607\) | 6.93725 | 0.281574 | 0.140787 | − | 0.990040i | \(-0.455037\pi\) | ||||
0.140787 | + | 0.990040i | \(0.455037\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 15.8745 | 0.643268 | ||||||||
\(610\) | 1.44946 | − | 0.527562i | 0.0586871 | − | 0.0213603i | ||||
\(611\) | 1.51221 | − | 8.57620i | 0.0611777 | − | 0.346956i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.68175 | + | 4.76755i | 0.229484 | + | 0.192560i | 0.750278 | − | 0.661123i | \(-0.229920\pi\) |
−0.520794 | + | 0.853682i | \(0.674364\pi\) | |||||||
\(614\) | 0.112134 | + | 0.635941i | 0.00452534 | + | 0.0256645i | ||||
\(615\) | −0.634637 | − | 1.09922i | −0.0255911 | − | 0.0443250i | ||||
\(616\) | 8.46863 | − | 14.6681i | 0.341211 | − | 0.590994i | ||||
\(617\) | 29.0125 | + | 10.5597i | 1.16800 | + | 0.425118i | 0.851949 | − | 0.523624i | \(-0.175420\pi\) |
0.316052 | + | 0.948742i | \(0.397643\pi\) | |||||||
\(618\) | 33.0452 | + | 12.0275i | 1.32927 | + | 0.483816i | ||||
\(619\) | 4.22876 | − | 7.32442i | 0.169968 | − | 0.294393i | −0.768440 | − | 0.639921i | \(-0.778967\pi\) |
0.938408 | + | 0.345528i | \(0.112300\pi\) | |||||||
\(620\) | −4.64575 | − | 8.04668i | −0.186578 | − | 0.323162i | ||||
\(621\) | −0.756107 | − | 4.28810i | −0.0303415 | − | 0.172075i | ||||
\(622\) | 10.4533 | + | 8.77132i | 0.419137 | + | 0.351698i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0.918860 | − | 5.21111i | 0.0367838 | − | 0.208611i | ||||
\(625\) | 7.79146 | − | 2.83586i | 0.311659 | − | 0.113434i | ||||
\(626\) | 8.87451 | 0.354697 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.5830 | −0.422308 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −4.16756 | + | 23.6354i | −0.166039 | + | 0.941656i | ||||
\(631\) | −19.0069 | + | 15.9487i | −0.756653 | + | 0.634907i | −0.937253 | − | 0.348649i | \(-0.886640\pi\) |
0.180600 | + | 0.983557i | \(0.442196\pi\) | |||||||
\(632\) | −3.06418 | − | 2.57115i | −0.121886 | − | 0.102275i | ||||
\(633\) | −6.10651 | − | 34.6318i | −0.242712 | − | 1.37649i | ||||
\(634\) | 3.00000 | + | 5.19615i | 0.119145 | + | 0.206366i | ||||
\(635\) | −10.9373 | + | 18.9439i | −0.434032 | + | 0.751765i | ||||
\(636\) | 31.2838 | + | 11.3864i | 1.24048 | + | 0.451499i | ||||
\(637\) | −11.8242 | − | 4.30364i | −0.468490 | − | 0.170516i | ||||
\(638\) | 3.82288 | − | 6.62141i | 0.151349 | − | 0.262144i | ||||
\(639\) | 5.41699 | + | 9.38251i | 0.214293 | + | 0.371166i | ||||
\(640\) | −0.285782 | − | 1.62075i | −0.0112965 | − | 0.0640657i | ||||
\(641\) | 9.86245 | + | 8.27557i | 0.389543 | + | 0.326866i | 0.816435 | − | 0.577437i | \(-0.195947\pi\) |
−0.426892 | + | 0.904303i | \(0.640392\pi\) | |||||||
\(642\) | 30.9923 | − | 26.0056i | 1.22317 | − | 1.02636i | ||||
\(643\) | −1.13223 | + | 6.42120i | −0.0446508 | + | 0.253227i | −0.998960 | − | 0.0455933i | \(-0.985482\pi\) |
0.954309 | + | 0.298821i | \(0.0965933\pi\) | |||||||
\(644\) | 5.63816 | − | 2.05212i | 0.222174 | − | 0.0808649i | ||||
\(645\) | −49.1660 | −1.93591 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −22.4575 | −0.882896 | −0.441448 | − | 0.897287i | \(-0.645535\pi\) | ||||
−0.441448 | + | 0.897287i | \(0.645535\pi\) | |||||||
\(648\) | 4.69846 | − | 1.71010i | 0.184573 | − | 0.0671791i | ||||
\(649\) | 6.40319 | − | 36.3143i | 0.251347 | − | 1.42546i | ||||
\(650\) | −3.51079 | + | 2.94590i | −0.137704 | + | 0.115548i | ||||
\(651\) | −41.7169 | − | 35.0046i | −1.63501 | − | 1.37194i | ||||
\(652\) | 0.683697 | + | 3.87744i | 0.0267756 | + | 0.151852i | ||||
\(653\) | −12.0000 | − | 20.7846i | −0.469596 | − | 0.813365i | 0.529799 | − | 0.848123i | \(-0.322267\pi\) |
−0.999396 | + | 0.0347583i | \(0.988934\pi\) | |||||||
\(654\) | −19.2915 | + | 33.4139i | −0.754357 | + | 1.30659i | ||||
\(655\) | 2.99596 | + | 1.09044i | 0.117062 | + | 0.0426071i | ||||
\(656\) | 0.273923 | + | 0.0996998i | 0.0106949 | + | 0.00389262i | ||||
\(657\) | −3.41699 | + | 5.91841i | −0.133310 | + | 0.230899i | ||||
\(658\) | −7.93725 | − | 13.7477i | −0.309426 | − | 0.535942i | ||||
\(659\) | −3.22690 | − | 18.3007i | −0.125702 | − | 0.712894i | −0.980888 | − | 0.194572i | \(-0.937668\pi\) |
0.855186 | − | 0.518321i | \(-0.173443\pi\) | |||||||
\(660\) | 15.4961 | + | 13.0028i | 0.603186 | + | 0.506133i | ||||
\(661\) | 12.4319 | − | 10.4316i | 0.483547 | − | 0.405744i | −0.368160 | − | 0.929762i | \(-0.620012\pi\) |
0.851707 | + | 0.524018i | \(0.175568\pi\) | |||||||
\(662\) | 3.44028 | − | 19.5108i | 0.133710 | − | 0.758308i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 7.93725 | 0.308025 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.41699 | 0.0549074 | ||||||||
\(667\) | 2.54515 | − | 0.926361i | 0.0985488 | − | 0.0358688i | ||||
\(668\) | −2.08378 | + | 11.8177i | −0.0806238 | + | 0.457240i | ||||
\(669\) | −38.1270 | + | 31.9923i | −1.47407 | + | 1.23690i | ||||
\(670\) | −0.814111 | − | 0.683120i | −0.0314518 | − | 0.0263912i | ||||
\(671\) | −0.756107 | − | 4.28810i | −0.0291892 | − | 0.165540i | ||||
\(672\) | −4.82288 | − | 8.35347i | −0.186046 | − | 0.322242i | ||||
\(673\) | 6.93725 | − | 12.0157i | 0.267411 | − | 0.463170i | −0.700781 | − | 0.713376i | \(-0.747165\pi\) |
0.968193 | + | 0.250206i | \(0.0804984\pi\) | |||||||
\(674\) | 9.12300 | + | 3.32050i | 0.351405 | + | 0.127901i | ||||
\(675\) | 5.69712 | + | 2.07358i | 0.219282 | + | 0.0798122i | ||||
\(676\) | 4.50000 | − | 7.79423i | 0.173077 | − | 0.299778i | ||||
\(677\) | 5.70850 | + | 9.88741i | 0.219395 | + | 0.380004i | 0.954623 | − | 0.297816i | \(-0.0962582\pi\) |
−0.735228 | + | 0.677820i | \(0.762925\pi\) | |||||||
\(678\) | −7.15930 | − | 40.6024i | −0.274951 | − | 1.55933i | ||||
\(679\) | −10.3571 | − | 8.69066i | −0.397470 | − | 0.333517i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.37876 | + | 19.1619i | −0.129474 | + | 0.734286i | ||||
\(682\) | −24.6470 | + | 8.97076i | −0.943781 | + | 0.343508i | ||||
\(683\) | −5.41699 | −0.207276 | −0.103638 | − | 0.994615i | \(-0.533048\pi\) | ||||
−0.103638 | + | 0.994615i | \(0.533048\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −25.6458 | −0.979874 | ||||||||
\(686\) | 2.42723 | − | 0.883440i | 0.0926721 | − | 0.0337299i | ||||
\(687\) | 9.18860 | − | 52.1111i | 0.350567 | − | 1.98816i | ||||
\(688\) | 8.64979 | − | 7.25804i | 0.329770 | − | 0.276710i | ||||
\(689\) | −19.2783 | − | 16.1764i | −0.734444 | − | 0.616272i | ||||
\(690\) | 1.24436 | + | 7.05714i | 0.0473722 | + | 0.268661i | ||||
\(691\) | −1.29150 | − | 2.23695i | −0.0491311 | − | 0.0850975i | 0.840414 | − | 0.541945i | \(-0.182312\pi\) |
−0.889545 | + | 0.456847i | \(0.848979\pi\) | |||||||
\(692\) | 3.00000 | − | 5.19615i | 0.114043 | − | 0.197528i | ||||
\(693\) | 63.6633 | + | 23.1715i | 2.41837 | + | 0.880214i | ||||
\(694\) | 21.8279 | + | 7.94470i | 0.828575 | + | 0.301577i | ||||
\(695\) | 15.3431 | − | 26.5751i | 0.581998 | − | 1.00805i | ||||
\(696\) | −2.17712 | − | 3.77089i | −0.0825237 | − | 0.142935i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 16.2141 | + | 13.6052i | 0.613713 | + | 0.514966i | ||||
\(699\) | 38.2542 | − | 32.0990i | 1.44691 | − | 1.21410i | ||||
\(700\) | −1.45070 | + | 8.22733i | −0.0548313 | + | 0.310964i | ||||
\(701\) | −9.72981 | + | 3.54136i | −0.367490 | + | 0.133755i | −0.519163 | − | 0.854675i | \(-0.673756\pi\) |
0.151673 | + | 0.988431i | \(0.451534\pi\) | |||||||
\(702\) | 5.29150 | 0.199715 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −4.64575 | −0.175093 | ||||||||
\(705\) | 17.8161 | − | 6.48452i | 0.670993 | − | 0.244221i | ||||
\(706\) | 2.23563 | − | 12.6789i | 0.0841392 | − | 0.477177i | ||||
\(707\) | −38.1100 | + | 31.9781i | −1.43327 | + | 1.20266i | ||||
\(708\) | −16.0869 | − | 13.4985i | −0.604584 | − | 0.507306i | ||||
\(709\) | 0.633078 | + | 3.59036i | 0.0237757 | + | 0.134839i | 0.994385 | − | 0.105821i | \(-0.0337472\pi\) |
−0.970609 | + | 0.240660i | \(0.922636\pi\) | |||||||
\(710\) | −2.22876 | − | 3.86032i | −0.0836437 | − | 0.144875i | ||||
\(711\) | 8.00000 | − | 13.8564i | 0.300023 | − | 0.519656i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −8.73116 | − | 3.17788i | −0.326984 | − | 0.119013i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.64575 | − | 13.2428i | −0.285935 | − | 0.495254i | ||||
\(716\) | 0.705488 | + | 4.00102i | 0.0263653 | + | 0.149525i | ||||
\(717\) | −24.3212 | − | 20.4079i | −0.908290 | − | 0.762146i | ||||
\(718\) | −3.78216 | + | 3.17361i | −0.141149 | + | 0.118438i | ||||
\(719\) | 0.470326 | − | 2.66735i | 0.0175402 | − | 0.0994753i | −0.974781 | − | 0.223164i | \(-0.928361\pi\) |
0.992321 | + | 0.123689i | \(0.0394725\pi\) | |||||||
\(720\) | 6.18600 | − | 2.25152i | 0.230539 | − | 0.0839092i | ||||
\(721\) | −48.4575 | −1.80465 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −20.0627 | −0.746142 | ||||||||
\(724\) | −20.8882 | + | 7.60268i | −0.776304 | + | 0.282551i | ||||
\(725\) | −0.654870 | + | 3.71395i | −0.0243212 | + | 0.137933i | ||||
\(726\) | 21.4492 | − | 17.9981i | 0.796056 | − | 0.667970i | ||||
\(727\) | 1.08548 | + | 0.910827i | 0.0402583 | + | 0.0337807i | 0.662695 | − | 0.748890i | \(-0.269413\pi\) |
−0.622437 | + | 0.782670i | \(0.713857\pi\) | |||||||
\(728\) | 1.26616 | + | 7.18073i | 0.0469269 | + | 0.266135i | ||||
\(729\) | 20.5000 | + | 35.5070i | 0.759259 | + | 1.31508i | ||||
\(730\) | 1.40588 | − | 2.43506i | 0.0520340 | − | 0.0901255i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −2.33019 | − | 0.848121i | −0.0861265 | − | 0.0313475i | ||||
\(733\) | 8.05163 | − | 13.9458i | 0.297394 | − | 0.515101i | −0.678145 | − | 0.734928i | \(-0.737216\pi\) |
0.975539 | + | 0.219827i | \(0.0705492\pi\) | |||||||
\(734\) | −8.11438 | − | 14.0545i | −0.299507 | − | 0.518762i | ||||
\(735\) | −4.75705 | − | 26.9786i | −0.175466 | − | 0.995120i | ||||
\(736\) | −1.26072 | − | 1.05787i | −0.0464707 | − | 0.0389936i | ||||
\(737\) | −2.29813 | + | 1.92836i | −0.0846528 | + | 0.0710322i | ||||
\(738\) | −0.202476 | + | 1.14830i | −0.00745323 | + | 0.0422694i | ||||
\(739\) | 31.7727 | − | 11.5643i | 1.16878 | − | 0.425400i | 0.316551 | − | 0.948575i | \(-0.397475\pi\) |
0.852225 | + | 0.523176i | \(0.175253\pi\) | |||||||
\(740\) | −0.583005 | −0.0214317 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −45.8745 | −1.68411 | ||||||||
\(743\) | 44.6544 | − | 16.2529i | 1.63821 | − | 0.596261i | 0.651487 | − | 0.758660i | \(-0.274145\pi\) |
0.986725 | + | 0.162399i | \(0.0519232\pi\) | |||||||
\(744\) | −2.59383 | + | 14.7103i | −0.0950943 | + | 0.539307i | ||||
\(745\) | −13.7888 | + | 11.5702i | −0.505183 | + | 0.423898i | ||||
\(746\) | −3.06418 | − | 2.57115i | −0.112188 | − | 0.0941365i | ||||
\(747\) | 5.51316 | + | 31.2667i | 0.201716 | + | 1.14399i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −27.8745 | + | 48.2801i | −1.01851 | + | 1.76412i | ||||
\(750\) | −29.8343 | − | 10.8588i | −1.08940 | − | 0.396507i | ||||
\(751\) | 7.39962 | + | 2.69324i | 0.270016 | + | 0.0982777i | 0.473480 | − | 0.880805i | \(-0.342998\pi\) |
−0.203464 | + | 0.979082i | \(0.565220\pi\) | |||||||
\(752\) | −2.17712 | + | 3.77089i | −0.0793916 | + | 0.137510i | ||||
\(753\) | −38.6660 | − | 66.9715i | −1.40907 | − | 2.44058i | ||||
\(754\) | 0.571563 | + | 3.24150i | 0.0208151 | + | 0.118048i | ||||
\(755\) | −16.3102 | − | 13.6859i | −0.593590 | − | 0.498081i | ||||
\(756\) | 7.38907 | − | 6.20017i | 0.268738 | − | 0.225498i | ||||
\(757\) | −0.795831 | + | 4.51338i | −0.0289250 | + | 0.164042i | −0.995849 | − | 0.0910241i | \(-0.970986\pi\) |
0.966924 | + | 0.255066i | \(0.0820971\pi\) | |||||||
\(758\) | −10.0627 | + | 3.66252i | −0.365494 | + | 0.133029i | ||||
\(759\) | 20.2288 | 0.734257 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 42.8745 | 1.55420 | 0.777100 | − | 0.629377i | \(-0.216690\pi\) | ||||
0.777100 | + | 0.629377i | \(0.216690\pi\) | |||||||
\(762\) | 33.0452 | − | 12.0275i | 1.19710 | − | 0.435710i | ||||
\(763\) | 9.23218 | − | 52.3583i | 0.334227 | − | 1.89550i | ||||
\(764\) | 5.04287 | − | 4.23147i | 0.182445 | − | 0.153089i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.958583 | + | 5.43639i | 0.0346350 | + | 0.196425i | ||||
\(767\) | 7.93725 | + | 13.7477i | 0.286598 | + | 0.496402i | ||||
\(768\) | −1.32288 | + | 2.29129i | −0.0477352 | + | 0.0826797i | ||||
\(769\) | −33.1632 | − | 12.0704i | −1.19589 | − | 0.435270i | −0.334105 | − | 0.942536i | \(-0.608434\pi\) |
−0.861790 | + | 0.507266i | \(0.830656\pi\) | |||||||
\(770\) | −26.1935 | − | 9.53364i | −0.943947 | − | 0.343569i | ||||
\(771\) | −16.2601 | + | 28.1634i | −0.585594 | + | 1.01428i | ||||
\(772\) | −7.29150 | − | 12.6293i | −0.262427 | − | 0.454537i | ||||
\(773\) | −0.857345 | − | 4.86225i | −0.0308366 | − | 0.174883i | 0.965500 | − | 0.260404i | \(-0.0838557\pi\) |
−0.996336 | + | 0.0855209i | \(0.972745\pi\) | |||||||
\(774\) | 34.5992 | + | 29.0322i | 1.24364 | + | 1.04354i | ||||
\(775\) | 9.91051 | − | 8.31591i | 0.355996 | − | 0.298716i | ||||
\(776\) | −0.643974 | + | 3.65216i | −0.0231173 | + | 0.131105i | ||||
\(777\) | −3.21092 | + | 1.16868i | −0.115191 | + | 0.0419262i | ||||
\(778\) | 12.0000 | 0.430221 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −8.70850 | −0.311814 | ||||||||
\(781\) | −11.8242 | + | 4.30364i | −0.423102 | + | 0.153996i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.33555 | − | 2.79886i | 0.119203 | − | 0.100023i | ||||
\(784\) | 4.81957 | + | 4.04410i | 0.172128 | + | 0.144432i | ||||
\(785\) | 3.02443 | + | 17.1524i | 0.107947 | + | 0.612195i | ||||
\(786\) | −2.56275 | − | 4.43881i | −0.0914101 | − | 0.158327i | ||||
\(787\) | 21.2601 | − | 36.8236i | 0.757842 | − | 1.31262i | −0.186107 | − | 0.982529i | \(-0.559587\pi\) |
0.943949 | − | 0.330091i | \(-0.107079\pi\) | |||||||
\(788\) | 7.18466 | + | 2.61500i | 0.255943 | + | 0.0931556i | ||||
\(789\) | 27.1921 | + | 9.89712i | 0.968065 | + | 0.352347i | ||||
\(790\) | −3.29150 | + | 5.70105i | −0.117106 | + | 0.202834i | ||||
\(791\) | 28.4059 | + | 49.2004i | 1.01000 | + | 1.74937i | ||||
\(792\) | −3.22690 | − | 18.3007i | −0.114663 | − | 0.650287i | ||||
\(793\) | 1.43596 | + | 1.20491i | 0.0509923 | + | 0.0427876i | ||||
\(794\) | 16.1350 | − | 13.5389i | 0.572610 | − | 0.480477i | ||||
\(795\) | 9.51410 | − | 53.9572i | 0.337430 | − | 1.91366i | ||||
\(796\) | 18.6759 | − | 6.79748i | 0.661951 | − | 0.240930i | ||||
\(797\) | −44.8118 | −1.58731 | −0.793657 | − | 0.608365i | \(-0.791826\pi\) | ||||
−0.793657 | + | 0.608365i | \(0.791826\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 2.15331 | − | 0.783740i | 0.0761309 | − | 0.0277094i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 21.1298 | − | 17.7300i | 0.746119 | − | 0.626069i | ||||
\(803\) | −6.08029 | − | 5.10197i | −0.214569 | − | 0.180045i | ||||
\(804\) | 0.296677 | + | 1.68254i | 0.0104630 | + | 0.0593387i | ||||
\(805\) | −4.93725 | − | 8.55157i | −0.174015 | − | 0.301403i | ||||
\(806\) | 5.64575 | − | 9.77873i | 0.198863 | − | 0.344441i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.8228 | + | 4.66712i | 0.451105 | + | 0.164189i | ||||
\(809\) | 4.50000 | − | 7.79423i | 0.158212 | − | 0.274030i | −0.776012 | − | 0.630718i | \(-0.782761\pi\) |
0.934224 | + | 0.356687i | \(0.116094\pi\) | |||||||
\(810\) | −4.11438 | − | 7.12631i | −0.144565 | − | 0.250393i | ||||
\(811\) | −5.43371 | − | 30.8161i | −0.190803 | − | 1.08210i | −0.918269 | − | 0.395956i | \(-0.870413\pi\) |
0.727466 | − | 0.686144i | \(-0.240698\pi\) | |||||||
\(812\) | 4.59627 | + | 3.85673i | 0.161297 | + | 0.135345i | ||||
\(813\) | 25.0391 | − | 21.0103i | 0.878161 | − | 0.736864i | ||||
\(814\) | −0.285782 | + | 1.62075i | −0.0100166 | + | 0.0568072i | ||||
\(815\) | 6.08896 | − | 2.21620i | 0.213287 | − | 0.0776302i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −7.58301 | −0.265134 | ||||||||
\(819\) | −27.4071 | + | 9.97536i | −0.957681 | + | 0.348567i | ||||
\(820\) | 0.0833061 | − | 0.472452i | 0.00290918 | − | 0.0164988i | ||||
\(821\) | −4.59627 | + | 3.85673i | −0.160411 | + | 0.134601i | −0.719460 | − | 0.694534i | \(-0.755611\pi\) |
0.559049 | + | 0.829134i | \(0.311166\pi\) | |||||||
\(822\) | 31.5831 | + | 26.5013i | 1.10159 | + | 0.924340i | ||||
\(823\) | −5.53495 | − | 31.3903i | −0.192936 | − | 1.09420i | −0.915327 | − | 0.402711i | \(-0.868068\pi\) |
0.722391 | − | 0.691485i | \(-0.243043\pi\) | |||||||
\(824\) | 6.64575 | + | 11.5108i | 0.231516 | + | 0.400997i | ||||
\(825\) | −14.0830 | + | 24.3925i | −0.490307 | + | 0.849237i | ||||
\(826\) | 27.1921 | + | 9.89712i | 0.946135 | + | 0.344365i | ||||
\(827\) | 49.4708 | + | 18.0059i | 1.72027 | + | 0.626127i | 0.997863 | − | 0.0653422i | \(-0.0208139\pi\) |
0.722406 | + | 0.691469i | \(0.243036\pi\) | |||||||
\(828\) | 3.29150 | − | 5.70105i | 0.114388 | − | 0.198125i | ||||
\(829\) | 8.58301 | + | 14.8662i | 0.298100 | + | 0.516325i | 0.975701 | − | 0.219105i | \(-0.0703137\pi\) |
−0.677601 | + | 0.735430i | \(0.736980\pi\) | |||||||
\(830\) | −2.26832 | − | 12.8643i | −0.0787346 | − | 0.446526i | ||||
\(831\) | −55.7770 | − | 46.8025i | −1.93488 | − | 1.62356i | ||||
\(832\) | 1.53209 | − | 1.28558i | 0.0531156 | − | 0.0445693i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −46.3569 | + | 16.8725i | −1.60521 | + | 0.584248i | ||||
\(835\) | 19.7490 | 0.683443 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −14.9373 | −0.516307 | ||||||||
\(838\) | 29.8343 | − | 10.8588i | 1.03061 | − | 0.375111i | ||||
\(839\) | −7.20992 | + | 40.8895i | −0.248914 | + | 1.41166i | 0.562310 | + | 0.826926i | \(0.309913\pi\) |
−0.811224 | + | 0.584735i | \(0.801198\pi\) | |||||||
\(840\) | −12.1606 | + | 10.2039i | −0.419580 | + | 0.352069i | ||||
\(841\) | −20.1405 | − | 16.8999i | −0.694499 | − | 0.582754i | ||||
\(842\) | −4.30852 | − | 24.4348i | −0.148481 | − | 0.842079i | ||||
\(843\) | −33.6771 | − | 58.3305i | −1.15990 | − | 2.00901i | ||||
\(844\) | 6.64575 | − | 11.5108i | 0.228756 | − | 0.396217i | ||||
\(845\) | −13.9185 | − | 5.06592i | −0.478811 | − | 0.174273i | ||||
\(846\) | −16.3666 | − | 5.95696i | −0.562696 | − | 0.204805i | ||||
\(847\) | −19.2915 | + | 33.4139i | −0.662864 | + | 1.14811i | ||||
\(848\) | 6.29150 | + | 10.8972i | 0.216051 | + | 0.374211i | ||||
\(849\) | 14.0796 | + | 79.8492i | 0.483210 | + | 2.74042i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.446608 | + | 0.374749i | −0.0153095 | + | 0.0128462i | ||||
\(852\) | −1.24436 | + | 7.05714i | −0.0426312 | + | 0.241774i | ||||
\(853\) | −8.06539 | + | 2.93556i | −0.276154 | + | 0.100512i | −0.476385 | − | 0.879237i | \(-0.658053\pi\) |
0.200231 | + | 0.979749i | \(0.435831\pi\) | |||||||
\(854\) | 3.41699 | 0.116927 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 15.2915 | 0.522653 | ||||||||
\(857\) | −19.7335 | + | 7.18242i | −0.674085 | + | 0.245347i | −0.656306 | − | 0.754495i | \(-0.727882\pi\) |
−0.0177793 | + | 0.999842i | \(0.505660\pi\) | |||||||
\(858\) | −4.26879 | + | 24.2095i | −0.145734 | + | 0.826500i | ||||
\(859\) | 10.1338 | − | 8.50328i | 0.345761 | − | 0.290128i | −0.453324 | − | 0.891346i | \(-0.649762\pi\) |
0.799085 | + | 0.601218i | \(0.205318\pi\) | |||||||
\(860\) | −14.2354 | − | 11.9449i | −0.485423 | − | 0.407319i | ||||
\(861\) | −0.488257 | − | 2.76904i | −0.0166398 | − | 0.0943688i | ||||
\(862\) | −13.9373 | − | 24.1400i | −0.474705 | − | 0.822213i | ||||
\(863\) | 15.5314 | − | 26.9011i | 0.528694 | − | 0.915725i | −0.470746 | − | 0.882269i | \(-0.656015\pi\) |
0.999440 | − | 0.0334563i | \(-0.0106515\pi\) | |||||||
\(864\) | −2.48619 | − | 0.904900i | −0.0845820 | − | 0.0307853i | ||||
\(865\) | −9.27900 | − | 3.37728i | −0.315496 | − | 0.114831i | ||||
\(866\) | −8.93725 | + | 15.4798i | −0.303700 | + | 0.526024i | ||||
\(867\) | 22.4889 | + | 38.9519i | 0.763763 | + | 1.32288i | ||||
\(868\) | −3.57420 | − | 20.2703i | −0.121316 | − | 0.688019i | ||||
\(869\) | 14.2354 | + | 11.9449i | 0.482903 | + | 0.405204i | ||||
\(870\) | −5.48948 | + | 4.60622i | −0.186111 | + | 0.156166i | ||||
\(871\) | 0.224267 | − | 1.27188i | 0.00759900 | − | 0.0430961i | ||||
\(872\) | −13.7035 | + | 4.98768i | −0.464061 | + | 0.168904i | ||||
\(873\) | −14.8340 | −0.502054 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 43.7490 | 1.47899 | ||||||||
\(876\) | −4.24765 | + | 1.54602i | −0.143515 | + | 0.0522352i | ||||
\(877\) | −7.23171 | + | 41.0131i | −0.244197 | + | 1.38491i | 0.578152 | + | 0.815929i | \(0.303774\pi\) |
−0.822349 | + | 0.568983i | \(0.807337\pi\) | |||||||
\(878\) | 8.28229 | − | 6.94967i | 0.279514 | − | 0.234540i | ||||
\(879\) | 58.6490 | + | 49.2123i | 1.97818 | + | 1.65989i | ||||
\(880\) | 1.32767 | + | 7.52960i | 0.0447558 | + | 0.253823i | ||||
\(881\) | 18.4373 | + | 31.9343i | 0.621167 | + | 1.07589i | 0.989269 | + | 0.146107i | \(0.0466744\pi\) |
−0.368102 | + | 0.929785i | \(0.619992\pi\) | |||||||
\(882\) | −12.5830 | + | 21.7944i | −0.423692 | + | 0.733856i | ||||
\(883\) | 26.6824 | + | 9.71158i | 0.897933 | + | 0.326821i | 0.749424 | − | 0.662090i | \(-0.230330\pi\) |
0.148509 | + | 0.988911i | \(0.452553\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −17.2804 | + | 29.9305i | −0.580874 | + | 1.00610i | ||||
\(886\) | −5.32288 | − | 9.21949i | −0.178826 | − | 0.309735i | ||||
\(887\) | −3.02443 | − | 17.1524i | −0.101550 | − | 0.575921i | −0.992542 | − | 0.121902i | \(-0.961101\pi\) |
0.890992 | − | 0.454019i | \(-0.150010\pi\) | |||||||
\(888\) | 0.717978 | + | 0.602455i | 0.0240938 | + | 0.0202171i | ||||
\(889\) | −37.1206 | + | 31.1479i | −1.24499 | + | 1.04467i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −21.8279 | + | 7.94470i | −0.731262 | + | 0.266158i | ||||
\(892\) | −18.8118 | −0.629864 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 28.9373 | 0.967807 | ||||||||
\(895\) | 6.28304 | − | 2.28684i | 0.210019 | − | 0.0764406i | ||||
\(896\) | 0.633078 | − | 3.59036i | 0.0211497 | − | 0.119946i | ||||
\(897\) | −6.67110 | + | 5.59771i | −0.222741 | + | 0.186902i | ||||
\(898\) | −18.6084 | − | 15.6143i | −0.620969 | − | 0.521055i | ||||
\(899\) | −1.61345 | − | 9.15034i | −0.0538117 | − | 0.305181i | ||||
\(900\) | 4.58301 | + | 7.93800i | 0.152767 | + | 0.264600i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −1.27258 | − | 0.463180i | −0.0423722 | − | 0.0154222i | ||||
\(903\) | −102.347 | − | 37.2511i | −3.40588 | − | 1.23964i | ||||
\(904\) | 7.79150 | − | 13.4953i | 0.259142 | − | 0.448846i | ||||
\(905\) | 18.2915 | + | 31.6818i | 0.608030 | + | 1.05314i | ||||
\(906\) | 5.94376 | + | 33.7087i | 0.197468 | + | 1.11990i | ||||
\(907\) | 30.5937 | + | 25.6712i | 1.01585 | + | 0.852397i | 0.989100 | − | 0.147245i | \(-0.0470406\pi\) |
0.0267475 | + | 0.999642i | \(0.491485\pi\) | |||||||
\(908\) | −5.63368 | + | 4.72722i | −0.186960 | + | 0.156878i | ||||
\(909\) | −9.47824 | + | 53.7538i | −0.314373 | + | 1.78290i | ||||
\(910\) | 11.2763 | − | 4.10424i | 0.373806 | − | 0.136054i | ||||
\(911\) | 16.9373 | 0.561156 | 0.280578 | − | 0.959831i | \(-0.409474\pi\) | ||||
0.280578 | + | 0.959831i | \(0.409474\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −36.8745 | −1.22037 | ||||||||
\(914\) | −30.8919 | + | 11.2437i | −1.02181 | + | 0.371910i | ||||
\(915\) | −0.708665 | + | 4.01904i | −0.0234277 | + | 0.132865i | ||||
\(916\) | 15.3209 | − | 12.8558i | 0.506216 | − | 0.424766i | ||||
\(917\) | 5.41038 | + | 4.53985i | 0.178666 | + | 0.149919i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.93725 | + | 17.2118i | 0.327800 | + | 0.567766i | 0.982075 | − | 0.188491i | \(-0.0603595\pi\) |
−0.654275 | + | 0.756257i | \(0.727026\pi\) | |||||||
\(920\) | −1.35425 | + | 2.34563i | −0.0446483 | + | 0.0773330i | ||||
\(921\) | −1.60546 | − | 0.584341i | −0.0529018 | − | 0.0192547i | ||||
\(922\) | −18.0102 | − | 6.55516i | −0.593133 | − | 0.215883i | ||||
\(923\) | 2.70850 | − | 4.69126i | 0.0891513 | − | 0.154415i | ||||
\(924\) | 22.4059 | + | 38.8081i | 0.737099 | + | 1.27669i | ||||
\(925\) | −0.140961 | − | 0.799429i | −0.00463477 | − | 0.0262851i | ||||
\(926\) | −29.4602 | − | 24.7200i | −0.968121 | − | 0.812350i | ||||
\(927\) | −40.7275 | + | 34.1745i | −1.33767 | + | 1.12244i | ||||
\(928\) | 0.285782 | − | 1.62075i | 0.00938124 | − | 0.0532037i | ||||
\(929\) | 9.00508 | − | 3.27758i | 0.295447 | − | 0.107534i | −0.190044 | − | 0.981776i | \(-0.560863\pi\) |
0.485491 | + | 0.874242i | \(0.338641\pi\) | |||||||
\(930\) | 24.5830 | 0.806108 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 18.8745 | 0.618255 | ||||||||
\(933\) | −33.9260 | + | 12.3480i | −1.11069 | + | 0.404257i | ||||
\(934\) | −3.36083 | + | 19.0602i | −0.109970 | + | 0.623669i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 6.12836 | + | 5.14230i | 0.200312 | + | 0.168081i | ||||
\(937\) | 1.23733 | + | 7.01724i | 0.0404218 | + | 0.229243i | 0.998325 | − | 0.0578464i | \(-0.0184234\pi\) |
−0.957904 | + | 0.287090i | \(0.907312\pi\) | |||||||
\(938\) | −1.17712 | − | 2.03884i | −0.0384345 | − | 0.0665705i | ||||
\(939\) | −11.7399 | + | 20.3341i | −0.383116 | + | 0.663577i | ||||
\(940\) | 6.73385 | + | 2.45092i | 0.219634 | + | 0.0799402i | ||||
\(941\) | −15.8188 | − | 5.75756i | −0.515677 | − | 0.187691i | 0.0710546 | − | 0.997472i | \(-0.477364\pi\) |
−0.586732 | + | 0.809781i | \(0.699586\pi\) | |||||||
\(942\) | 14.0000 | − | 24.2487i | 0.456145 | − | 0.790066i | ||||
\(943\) | −0.239870 | − | 0.415468i | −0.00781126 | − | 0.0135295i | ||||
\(944\) | −1.37829 | − | 7.81667i | −0.0448595 | − | 0.254411i | ||||
\(945\) | −12.1606 | − | 10.2039i | −0.395584 | − | 0.331934i | ||||
\(946\) | −40.1848 | + | 33.7190i | −1.30652 | + | 1.09630i | ||||
\(947\) | −1.34560 | + | 7.63129i | −0.0437262 | + | 0.247984i | −0.998834 | − | 0.0482745i | \(-0.984628\pi\) |
0.955108 | + | 0.296258i | \(0.0957389\pi\) | |||||||
\(948\) | 9.94477 | − | 3.61960i | 0.322991 | − | 0.117559i | ||||
\(949\) | 3.41699 | 0.110920 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −15.8745 | −0.514766 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.33687 | + | 13.2531i | −0.0756987 | + | 0.429309i | 0.923280 | + | 0.384127i | \(0.125498\pi\) |
−0.998979 | + | 0.0451814i | \(0.985613\pi\) | |||||||
\(954\) | −38.5566 | + | 32.3528i | −1.24831 | + | 1.04746i | ||||
\(955\) | −8.29932 | − | 6.96395i | −0.268560 | − | 0.225348i | ||||
\(956\) | −2.08378 | − | 11.8177i | −0.0673942 | − | 0.382212i | ||||
\(957\) | 10.1144 | + | 17.5186i | 0.326951 | + | 0.566296i | ||||
\(958\) | −3.29150 | + | 5.70105i | −0.106344 | + | 0.184193i | ||||
\(959\) | −53.3856 | − | 19.4308i | −1.72391 | − | 0.627452i | ||||
\(960\) | 4.09166 | + | 1.48924i | 0.132058 | + | 0.0480650i | ||||
\(961\) | −0.437254 | + | 0.757346i | −0.0141050 | + | 0.0244305i | ||||
\(962\) | −0.354249 | − | 0.613577i | −0.0114214 | − | 0.0197825i | ||||
\(963\) | 10.6214 | + | 60.2368i | 0.342269 | + | 1.94110i | ||||
\(964\) | −5.80892 | − | 4.87426i | −0.187093 | − | 0.156989i | ||||
\(965\) | −18.3851 | + | 15.4269i | −0.591836 | + | 0.496610i | ||||
\(966\) | −2.75658 | + | 15.6333i | −0.0886915 | + | 0.502994i | ||||
\(967\) | 12.4899 | − | 4.54596i | 0.401649 | − | 0.146188i | −0.133294 | − | 0.991077i | \(-0.542555\pi\) |
0.534943 | + | 0.844888i | \(0.320333\pi\) | |||||||
\(968\) | 10.5830 | 0.340151 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.10326 | 0.195964 | ||||||||
\(971\) | 51.1144 | − | 18.6041i | 1.64034 | − | 0.597034i | 0.653240 | − | 0.757151i | \(-0.273409\pi\) |
0.987098 | + | 0.160117i | \(0.0511871\pi\) | |||||||
\(972\) | −3.67544 | + | 20.8445i | −0.117890 | + | 0.668586i | ||||
\(973\) | 52.0740 | − | 43.6953i | 1.66942 | − | 1.40081i | ||||
\(974\) | 3.23942 | + | 2.71819i | 0.103798 | + | 0.0870965i | ||||
\(975\) | −2.10557 | − | 11.9413i | −0.0674322 | − | 0.382427i | ||||
\(976\) | −0.468627 | − | 0.811686i | −0.0150004 | − | 0.0259814i | ||||
\(977\) | 3.72876 | − | 6.45840i | 0.119293 | − | 0.206622i | −0.800194 | − | 0.599741i | \(-0.795270\pi\) |
0.919488 | + | 0.393118i | \(0.128604\pi\) | |||||||
\(978\) | −9.78877 | − | 3.56282i | −0.313010 | − | 0.113926i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 5.17712 | − | 8.96704i | 0.165377 | − | 0.286442i | ||||
\(981\) | −29.1660 | − | 50.5170i | −0.931199 | − | 1.61288i | ||||
\(982\) | 6.82290 | + | 38.6946i | 0.217727 | + | 1.23479i | ||||
\(983\) | 24.3212 | + | 20.4079i | 0.775724 | + | 0.650910i | 0.942168 | − | 0.335141i | \(-0.108784\pi\) |
−0.166444 | + | 0.986051i | \(0.553228\pi\) | |||||||
\(984\) | −0.590807 | + | 0.495746i | −0.0188342 | + | 0.0158038i | ||||
\(985\) | 2.18502 | − | 12.3918i | 0.0696204 | − | 0.394837i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 42.0000 | 1.33687 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −18.5830 | −0.590905 | ||||||||
\(990\) | −28.7386 | + | 10.4600i | −0.913373 | + | 0.332441i | ||||
\(991\) | −0.492117 | + | 2.79093i | −0.0156326 | + | 0.0886570i | −0.991626 | − | 0.129144i | \(-0.958777\pi\) |
0.975993 | + | 0.217801i | \(0.0698883\pi\) | |||||||
\(992\) | −4.32490 | + | 3.62902i | −0.137316 | + | 0.115221i | ||||
\(993\) | 40.1537 | + | 33.6930i | 1.27424 | + | 1.06921i | ||||
\(994\) | −1.71469 | − | 9.72449i | −0.0543867 | − | 0.308442i | ||||
\(995\) | −16.3542 | − | 28.3264i | −0.518465 | − | 0.898007i | ||||
\(996\) | −10.5000 | + | 18.1865i | −0.332705 | + | 0.576262i | ||||
\(997\) | −15.2500 | − | 5.55056i | −0.482974 | − | 0.175788i | 0.0890467 | − | 0.996027i | \(-0.471618\pi\) |
−0.572020 | + | 0.820239i | \(0.693840\pi\) | |||||||
\(998\) | 4.48350 | + | 1.63186i | 0.141923 | + | 0.0516557i | ||||
\(999\) | −0.468627 | + | 0.811686i | −0.0148267 | + | 0.0256806i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))