Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (of order \(12\), degree \(4\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.43 | ||
Character | \(\chi\) | \(=\) | 280.107 |
Dual form | 280.2.br.a.123.43 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38436 | + | 0.289031i | 0.978893 | + | 0.204376i | ||||
\(3\) | −1.63560 | − | 0.438259i | −0.944317 | − | 0.253029i | −0.246368 | − | 0.969176i | \(-0.579237\pi\) |
−0.697949 | + | 0.716148i | \(0.745904\pi\) | |||||||
\(4\) | 1.83292 | + | 0.800248i | 0.916461 | + | 0.400124i | ||||
\(5\) | −1.55370 | + | 1.60811i | −0.694836 | + | 0.719168i | ||||
\(6\) | −2.13760 | − | 1.07945i | −0.872672 | − | 0.440684i | ||||
\(7\) | 2.49314 | + | 0.885584i | 0.942318 | + | 0.334719i | ||||
\(8\) | 2.30613 | + | 1.63760i | 0.815341 | + | 0.578981i | ||||
\(9\) | −0.114945 | − | 0.0663635i | −0.0383150 | − | 0.0221212i | ||||
\(10\) | −2.61568 | + | 1.77714i | −0.827150 | + | 0.561981i | ||||
\(11\) | 2.94194 | + | 5.09559i | 0.887029 | + | 1.53638i | 0.843371 | + | 0.537332i | \(0.180568\pi\) |
0.0436583 | + | 0.999047i | \(0.486099\pi\) | |||||||
\(12\) | −2.64722 | − | 2.11218i | −0.764187 | − | 0.609735i | ||||
\(13\) | 1.49331 | + | 1.49331i | 0.414169 | + | 0.414169i | 0.883188 | − | 0.469019i | \(-0.155392\pi\) |
−0.469019 | + | 0.883188i | \(0.655392\pi\) | |||||||
\(14\) | 3.19545 | + | 1.94656i | 0.854019 | + | 0.520241i | ||||
\(15\) | 3.24601 | − | 1.94931i | 0.838115 | − | 0.503309i | ||||
\(16\) | 2.71921 | + | 2.93358i | 0.679802 | + | 0.733396i | ||||
\(17\) | 1.45569 | − | 5.43270i | 0.353056 | − | 1.31762i | −0.529857 | − | 0.848087i | \(-0.677754\pi\) |
0.882913 | − | 0.469536i | \(-0.155579\pi\) | |||||||
\(18\) | −0.139944 | − | 0.125094i | −0.0329852 | − | 0.0294849i | ||||
\(19\) | −3.10041 | − | 1.79002i | −0.711282 | − | 0.410659i | 0.100253 | − | 0.994962i | \(-0.468035\pi\) |
−0.811536 | + | 0.584303i | \(0.801368\pi\) | |||||||
\(20\) | −4.13470 | + | 1.70419i | −0.924546 | + | 0.381070i | ||||
\(21\) | −3.68967 | − | 2.54111i | −0.805153 | − | 0.554515i | ||||
\(22\) | 2.59993 | + | 7.90446i | 0.554307 | + | 1.68524i | ||||
\(23\) | −2.49897 | + | 0.669597i | −0.521071 | + | 0.139621i | −0.509762 | − | 0.860315i | \(-0.670267\pi\) |
−0.0113092 | + | 0.999936i | \(0.503600\pi\) | |||||||
\(24\) | −3.05423 | − | 3.68916i | −0.623442 | − | 0.753046i | ||||
\(25\) | −0.172032 | − | 4.99704i | −0.0344063 | − | 0.999408i | ||||
\(26\) | 1.63567 | + | 2.49889i | 0.320781 | + | 0.490074i | ||||
\(27\) | 3.75096 | + | 3.75096i | 0.721872 | + | 0.721872i | ||||
\(28\) | 3.86104 | + | 3.61834i | 0.729668 | + | 0.683801i | ||||
\(29\) | −6.02158 | −1.11818 | −0.559090 | − | 0.829107i | \(-0.688849\pi\) | ||||
−0.559090 | + | 0.829107i | \(0.688849\pi\) | |||||||
\(30\) | 5.05706 | − | 1.76035i | 0.923289 | − | 0.321395i | ||||
\(31\) | −1.05541 | + | 0.609340i | −0.189557 | + | 0.109441i | −0.591775 | − | 0.806103i | \(-0.701573\pi\) |
0.402218 | + | 0.915544i | \(0.368239\pi\) | |||||||
\(32\) | 2.91647 | + | 4.84708i | 0.515565 | + | 0.856851i | ||||
\(33\) | −2.57866 | − | 9.62371i | −0.448888 | − | 1.67527i | ||||
\(34\) | 3.58542 | − | 7.10009i | 0.614894 | − | 1.21766i | ||||
\(35\) | −5.29771 | + | 2.63331i | −0.895476 | + | 0.445110i | ||||
\(36\) | −0.157578 | − | 0.213623i | −0.0262630 | − | 0.0356039i | ||||
\(37\) | −2.68783 | − | 10.0311i | −0.441876 | − | 1.64910i | −0.724055 | − | 0.689742i | \(-0.757724\pi\) |
0.282180 | − | 0.959362i | \(-0.408943\pi\) | |||||||
\(38\) | −3.77472 | − | 3.37415i | −0.612340 | − | 0.547360i | ||||
\(39\) | −1.78801 | − | 3.09692i | −0.286310 | − | 0.495904i | ||||
\(40\) | −6.21649 | + | 1.16417i | −0.982913 | + | 0.184071i | ||||
\(41\) | 2.44353 | 0.381615 | 0.190807 | − | 0.981627i | \(-0.438889\pi\) | ||||
0.190807 | + | 0.981627i | \(0.438889\pi\) | |||||||
\(42\) | −4.37339 | − | 4.58424i | −0.674829 | − | 0.707364i | ||||
\(43\) | 7.70492 | − | 7.70492i | 1.17499 | − | 1.17499i | 0.193985 | − | 0.981005i | \(-0.437859\pi\) |
0.981005 | − | 0.193985i | \(-0.0621412\pi\) | |||||||
\(44\) | 1.31461 | + | 11.6941i | 0.198186 | + | 1.76295i | ||||
\(45\) | 0.285310 | − | 0.0817351i | 0.0425315 | − | 0.0121843i | ||||
\(46\) | −3.65302 | + | 0.204686i | −0.538608 | + | 0.0301792i | ||||
\(47\) | 1.11455 | + | 4.15954i | 0.162573 | + | 0.606732i | 0.998337 | + | 0.0576429i | \(0.0183585\pi\) |
−0.835764 | + | 0.549089i | \(0.814975\pi\) | |||||||
\(48\) | −3.16188 | − | 5.98990i | −0.456378 | − | 0.864567i | ||||
\(49\) | 5.43148 | + | 4.41577i | 0.775926 | + | 0.630824i | ||||
\(50\) | 1.20614 | − | 6.96744i | 0.170575 | − | 0.985345i | ||||
\(51\) | −4.76186 | + | 8.24778i | −0.666793 | + | 1.15492i | ||||
\(52\) | 1.54210 | + | 3.93214i | 0.213851 | + | 0.545289i | ||||
\(53\) | 1.25540 | − | 4.68522i | 0.172442 | − | 0.643564i | −0.824531 | − | 0.565817i | \(-0.808561\pi\) |
0.996973 | − | 0.0777467i | \(-0.0247725\pi\) | |||||||
\(54\) | 4.10854 | + | 6.27683i | 0.559102 | + | 0.854168i | ||||
\(55\) | −12.7652 | − | 3.18606i | −1.72125 | − | 0.429608i | ||||
\(56\) | 4.29927 | + | 6.12505i | 0.574515 | + | 0.818494i | ||||
\(57\) | 4.28655 | + | 4.28655i | 0.567767 | + | 0.567767i | ||||
\(58\) | −8.33605 | − | 1.74042i | −1.09458 | − | 0.228529i | ||||
\(59\) | −2.51456 | + | 1.45178i | −0.327368 | + | 0.189006i | −0.654672 | − | 0.755913i | \(-0.727193\pi\) |
0.327304 | + | 0.944919i | \(0.393860\pi\) | |||||||
\(60\) | 7.50961 | − | 0.975321i | 0.969486 | − | 0.125913i | ||||
\(61\) | −6.34457 | − | 3.66304i | −0.812339 | − | 0.469004i | 0.0354283 | − | 0.999372i | \(-0.488720\pi\) |
−0.847768 | + | 0.530368i | \(0.822054\pi\) | |||||||
\(62\) | −1.63719 | + | 0.538502i | −0.207923 | + | 0.0683899i | ||||
\(63\) | −0.227803 | − | 0.267247i | −0.0287005 | − | 0.0336699i | ||||
\(64\) | 2.63650 | + | 7.55307i | 0.329563 | + | 0.944134i | ||||
\(65\) | −4.72156 | + | 0.0812498i | −0.585637 | + | 0.0100778i | ||||
\(66\) | −0.788259 | − | 14.0680i | −0.0970279 | − | 1.73165i | ||||
\(67\) | 2.21674 | − | 8.27299i | 0.270818 | − | 1.01071i | −0.687775 | − | 0.725924i | \(-0.741412\pi\) |
0.958592 | − | 0.284782i | \(-0.0919211\pi\) | |||||||
\(68\) | 7.01567 | − | 8.79280i | 0.850774 | − | 1.06628i | ||||
\(69\) | 4.38078 | 0.527384 | ||||||||
\(70\) | −8.09506 | + | 2.11425i | −0.967544 | + | 0.252701i | ||||
\(71\) | 2.68611i | 0.318782i | 0.987216 | + | 0.159391i | \(0.0509531\pi\) | ||||
−0.987216 | + | 0.159391i | \(0.949047\pi\) | |||||||
\(72\) | −0.156401 | − | 0.341277i | −0.0184321 | − | 0.0402199i | ||||
\(73\) | −1.49608 | − | 0.400874i | −0.175103 | − | 0.0469188i | 0.170202 | − | 0.985409i | \(-0.445558\pi\) |
−0.345305 | + | 0.938490i | \(0.612225\pi\) | |||||||
\(74\) | −0.821628 | − | 14.6636i | −0.0955123 | − | 1.70460i | ||||
\(75\) | −1.90862 | + | 8.24858i | −0.220389 | + | 0.952463i | ||||
\(76\) | −4.25035 | − | 5.76206i | −0.487548 | − | 0.660954i | ||||
\(77\) | 2.82209 | + | 15.3094i | 0.321607 | + | 1.74466i | ||||
\(78\) | −1.58015 | − | 4.80405i | −0.178916 | − | 0.543952i | ||||
\(79\) | 1.03331 | − | 1.78974i | 0.116256 | − | 0.201361i | −0.802025 | − | 0.597290i | \(-0.796244\pi\) |
0.918281 | + | 0.395929i | \(0.129577\pi\) | |||||||
\(80\) | −8.94236 | − | 0.185125i | −0.999786 | − | 0.0206976i | ||||
\(81\) | −4.29210 | − | 7.43414i | −0.476900 | − | 0.826015i | ||||
\(82\) | 3.38273 | + | 0.706255i | 0.373560 | + | 0.0779928i | ||||
\(83\) | −0.700162 | + | 0.700162i | −0.0768527 | + | 0.0768527i | −0.744488 | − | 0.667636i | \(-0.767306\pi\) |
0.667636 | + | 0.744488i | \(0.267306\pi\) | |||||||
\(84\) | −4.72937 | − | 7.61030i | −0.516017 | − | 0.830352i | ||||
\(85\) | 6.47467 | + | 10.7817i | 0.702277 | + | 1.16944i | ||||
\(86\) | 12.8934 | − | 8.43945i | 1.39033 | − | 0.910049i | ||||
\(87\) | 9.84893 | + | 2.63901i | 1.05592 | + | 0.282932i | ||||
\(88\) | −1.56005 | + | 16.5689i | −0.166302 | + | 1.76625i | ||||
\(89\) | 3.21668 | + | 1.85715i | 0.340968 | + | 0.196858i | 0.660700 | − | 0.750650i | \(-0.270260\pi\) |
−0.319732 | + | 0.947508i | \(0.603593\pi\) | |||||||
\(90\) | 0.418596 | − | 0.0306877i | 0.0441239 | − | 0.00323476i | ||||
\(91\) | 2.40058 | + | 5.04548i | 0.251649 | + | 0.528910i | ||||
\(92\) | −5.11626 | − | 0.772475i | −0.533407 | − | 0.0805361i | ||||
\(93\) | 1.99328 | − | 0.534098i | 0.206693 | − | 0.0553833i | ||||
\(94\) | 0.340700 | + | 6.08046i | 0.0351405 | + | 0.627151i | ||||
\(95\) | 7.69565 | − | 2.20464i | 0.789557 | − | 0.226191i | ||||
\(96\) | −2.64592 | − | 9.20608i | −0.270048 | − | 0.939591i | ||||
\(97\) | 2.71232 | + | 2.71232i | 0.275394 | + | 0.275394i | 0.831267 | − | 0.555873i | \(-0.187616\pi\) |
−0.555873 | + | 0.831267i | \(0.687616\pi\) | |||||||
\(98\) | 6.24285 | + | 7.68289i | 0.630623 | + | 0.776089i | ||||
\(99\) | − | 0.780950i | − | 0.0784884i | ||||||
\(100\) | 3.68355 | − | 9.29685i | 0.368355 | − | 0.929685i | ||||
\(101\) | 2.82950 | − | 1.63361i | 0.281546 | − | 0.162550i | −0.352577 | − | 0.935783i | \(-0.614695\pi\) |
0.634123 | + | 0.773232i | \(0.281361\pi\) | |||||||
\(102\) | −8.97600 | + | 10.0416i | −0.888757 | + | 0.994266i | ||||
\(103\) | 16.2958 | − | 4.36644i | 1.60567 | − | 0.430238i | 0.658922 | − | 0.752211i | \(-0.271013\pi\) |
0.946749 | + | 0.321973i | \(0.104346\pi\) | |||||||
\(104\) | 0.998321 | + | 5.88922i | 0.0978934 | + | 0.577486i | ||||
\(105\) | 9.81902 | − | 1.98528i | 0.958239 | − | 0.193744i | ||||
\(106\) | 3.09210 | − | 6.12319i | 0.300331 | − | 0.594737i | ||||
\(107\) | −11.8115 | + | 3.16489i | −1.14186 | + | 0.305962i | −0.779700 | − | 0.626153i | \(-0.784629\pi\) |
−0.362164 | + | 0.932114i | \(0.617962\pi\) | |||||||
\(108\) | 3.87352 | + | 9.87691i | 0.372729 | + | 0.950406i | ||||
\(109\) | 0.360683 | + | 0.624720i | 0.0345471 | + | 0.0598374i | 0.882782 | − | 0.469783i | \(-0.155668\pi\) |
−0.848235 | + | 0.529620i | \(0.822334\pi\) | |||||||
\(110\) | −16.7508 | − | 8.10019i | −1.59712 | − | 0.772323i | ||||
\(111\) | 17.5849i | 1.66908i | ||||||||
\(112\) | 4.18143 | + | 9.72192i | 0.395108 | + | 0.918635i | ||||
\(113\) | −2.98437 | + | 2.98437i | −0.280746 | + | 0.280746i | −0.833406 | − | 0.552661i | \(-0.813613\pi\) |
0.552661 | + | 0.833406i | \(0.313613\pi\) | |||||||
\(114\) | 4.69519 | + | 7.17308i | 0.439745 | + | 0.671821i | ||||
\(115\) | 2.80586 | − | 5.05897i | 0.261648 | − | 0.471751i | ||||
\(116\) | −11.0371 | − | 4.81876i | −1.02477 | − | 0.447410i | ||||
\(117\) | −0.0725471 | − | 0.270749i | −0.00670698 | − | 0.0250308i | ||||
\(118\) | −3.90067 | + | 1.28301i | −0.359086 | + | 0.118110i | ||||
\(119\) | 8.44034 | − | 12.2553i | 0.773725 | − | 1.12344i | ||||
\(120\) | 10.6779 | + | 0.820311i | 0.974756 | + | 0.0748838i | ||||
\(121\) | −11.8100 | + | 20.4556i | −1.07364 | + | 1.85960i | ||||
\(122\) | −7.72446 | − | 6.90476i | −0.699340 | − | 0.625127i | ||||
\(123\) | −3.99664 | − | 1.07090i | −0.360365 | − | 0.0965596i | ||||
\(124\) | −2.42210 | + | 0.272285i | −0.217511 | + | 0.0244519i | ||||
\(125\) | 8.30307 | + | 7.48726i | 0.742649 | + | 0.669680i | ||||
\(126\) | −0.238120 | − | 0.435809i | −0.0212134 | − | 0.0388249i | ||||
\(127\) | 6.20663 | − | 6.20663i | 0.550749 | − | 0.550749i | −0.375908 | − | 0.926657i | \(-0.622669\pi\) |
0.926657 | + | 0.375908i | \(0.122669\pi\) | |||||||
\(128\) | 1.46681 | + | 11.2182i | 0.129649 | + | 0.991560i | ||||
\(129\) | −15.9790 | + | 9.22545i | −1.40687 | + | 0.812256i | ||||
\(130\) | −6.55984 | − | 1.25220i | −0.575336 | − | 0.109825i | ||||
\(131\) | 5.00092 | − | 8.66185i | 0.436933 | − | 0.756790i | −0.560518 | − | 0.828142i | \(-0.689398\pi\) |
0.997451 | + | 0.0713522i | \(0.0227314\pi\) | |||||||
\(132\) | 2.97486 | − | 19.7031i | 0.258928 | − | 1.71493i | ||||
\(133\) | −6.14453 | − | 7.20844i | −0.532798 | − | 0.625051i | ||||
\(134\) | 5.45992 | − | 10.8121i | 0.471665 | − | 0.934024i | ||||
\(135\) | −11.8598 | + | 0.204087i | −1.02073 | + | 0.0175650i | ||||
\(136\) | 12.2536 | − | 10.1447i | 1.05074 | − | 0.869900i | ||||
\(137\) | −0.151978 | + | 0.567191i | −0.0129844 | + | 0.0484584i | −0.972114 | − | 0.234508i | \(-0.924652\pi\) |
0.959130 | + | 0.282967i | \(0.0913186\pi\) | |||||||
\(138\) | 6.06459 | + | 1.26618i | 0.516253 | + | 0.107785i | ||||
\(139\) | 12.9871i | 1.10155i | 0.834653 | + | 0.550776i | \(0.185668\pi\) | ||||
−0.834653 | + | 0.550776i | \(0.814332\pi\) | |||||||
\(140\) | −11.8176 | + | 0.587171i | −0.998768 | + | 0.0496250i | ||||
\(141\) | − | 7.29183i | − | 0.614083i | ||||||
\(142\) | −0.776368 | + | 3.71855i | −0.0651513 | + | 0.312053i | ||||
\(143\) | −3.21607 | + | 12.0025i | −0.268941 | + | 1.00370i | ||||
\(144\) | −0.117876 | − | 0.517657i | −0.00982303 | − | 0.0431380i | ||||
\(145\) | 9.35573 | − | 9.68336i | 0.776951 | − | 0.804159i | ||||
\(146\) | −1.95526 | − | 0.987369i | −0.161818 | − | 0.0817153i | ||||
\(147\) | −6.94850 | − | 9.60285i | −0.573103 | − | 0.792029i | ||||
\(148\) | 3.10079 | − | 20.5372i | 0.254883 | − | 1.68814i | ||||
\(149\) | 0.871704 | − | 1.50983i | 0.0714127 | − | 0.123690i | −0.828108 | − | 0.560569i | \(-0.810583\pi\) |
0.899521 | + | 0.436878i | \(0.143916\pi\) | |||||||
\(150\) | −5.02632 | + | 10.8674i | −0.410397 | + | 0.887317i | ||||
\(151\) | −13.5367 | + | 7.81542i | −1.10160 | + | 0.636010i | −0.936641 | − | 0.350290i | \(-0.886083\pi\) |
−0.164960 | + | 0.986300i | \(0.552750\pi\) | |||||||
\(152\) | −4.21861 | − | 9.20527i | −0.342174 | − | 0.746646i | ||||
\(153\) | −0.527857 | + | 0.527857i | −0.0426747 | + | 0.0426747i | ||||
\(154\) | −0.518079 | + | 22.0094i | −0.0417480 | + | 1.77357i | ||||
\(155\) | 0.659902 | − | 2.64394i | 0.0530046 | − | 0.212367i | ||||
\(156\) | −0.798976 | − | 7.10726i | −0.0639693 | − | 0.569036i | ||||
\(157\) | −23.1559 | − | 6.20461i | −1.84804 | − | 0.495181i | −0.848615 | − | 0.529012i | \(-0.822563\pi\) |
−0.999428 | + | 0.0338301i | \(0.989229\pi\) | |||||||
\(158\) | 1.94776 | − | 2.17899i | 0.154956 | − | 0.173351i | ||||
\(159\) | −4.10667 | + | 7.11297i | −0.325681 | + | 0.564095i | ||||
\(160\) | −12.3260 | − | 2.84090i | −0.974453 | − | 0.224593i | ||||
\(161\) | −6.82326 | − | 0.543651i | −0.537748 | − | 0.0428457i | ||||
\(162\) | −3.79313 | − | 11.5321i | −0.298016 | − | 0.906047i | ||||
\(163\) | 2.18883 | + | 8.16881i | 0.171442 | + | 0.639830i | 0.997130 | + | 0.0757038i | \(0.0241203\pi\) |
−0.825688 | + | 0.564127i | \(0.809213\pi\) | |||||||
\(164\) | 4.47879 | + | 1.95543i | 0.349735 | + | 0.152693i | ||||
\(165\) | 19.4824 | + | 10.8056i | 1.51671 | + | 0.841213i | ||||
\(166\) | −1.17165 | + | 0.766910i | −0.0909374 | + | 0.0595237i | ||||
\(167\) | −1.37400 | + | 1.37400i | −0.106323 | + | 0.106323i | −0.758267 | − | 0.651944i | \(-0.773954\pi\) |
0.651944 | + | 0.758267i | \(0.273954\pi\) | |||||||
\(168\) | −4.34755 | − | 11.9024i | −0.335421 | − | 0.918287i | ||||
\(169\) | − | 8.54006i | − | 0.656927i | ||||||
\(170\) | 5.84706 | + | 16.7972i | 0.448449 | + | 1.28828i | ||||
\(171\) | 0.237584 | + | 0.411508i | 0.0181685 | + | 0.0314688i | ||||
\(172\) | 20.2884 | − | 7.95667i | 1.54697 | − | 0.606691i | ||||
\(173\) | 14.6974 | − | 3.93815i | 1.11742 | − | 0.299412i | 0.347582 | − | 0.937650i | \(-0.387003\pi\) |
0.769839 | + | 0.638238i | \(0.220336\pi\) | |||||||
\(174\) | 12.8717 | + | 6.49999i | 0.975804 | + | 0.492763i | ||||
\(175\) | 3.99640 | − | 12.6107i | 0.302100 | − | 0.953276i | ||||
\(176\) | −6.94859 | + | 22.4864i | −0.523770 | + | 1.69498i | ||||
\(177\) | 4.74908 | − | 1.27251i | 0.356963 | − | 0.0956478i | ||||
\(178\) | 3.91628 | + | 3.50070i | 0.293538 | + | 0.262388i | ||||
\(179\) | −9.39695 | + | 5.42533i | −0.702361 | + | 0.405508i | −0.808226 | − | 0.588872i | \(-0.799572\pi\) |
0.105865 | + | 0.994380i | \(0.466239\pi\) | |||||||
\(180\) | 0.588359 | + | 0.0785044i | 0.0438537 | + | 0.00585137i | ||||
\(181\) | 2.62305i | 0.194970i | 0.995237 | + | 0.0974849i | \(0.0310798\pi\) | ||||
−0.995237 | + | 0.0974849i | \(0.968920\pi\) | |||||||
\(182\) | 1.86497 | + | 7.67861i | 0.138241 | + | 0.569177i | ||||
\(183\) | 8.77185 | + | 8.77185i | 0.648434 | + | 0.648434i | ||||
\(184\) | −6.85949 | − | 2.54814i | −0.505688 | − | 0.187852i | ||||
\(185\) | 20.3072 | + | 11.2630i | 1.49301 | + | 0.828073i | ||||
\(186\) | 2.91379 | − | 0.163266i | 0.213650 | − | 0.0119712i | ||||
\(187\) | 31.9654 | − | 8.56509i | 2.33754 | − | 0.626342i | ||||
\(188\) | −1.28579 | + | 8.51603i | −0.0937757 | + | 0.621095i | ||||
\(189\) | 6.02987 | + | 12.6734i | 0.438608 | + | 0.921857i | ||||
\(190\) | 11.2908 | − | 0.827738i | 0.819120 | − | 0.0600504i | ||||
\(191\) | −0.0199675 | − | 0.0115282i | −0.00144480 | − | 0.000834154i | 0.499277 | − | 0.866442i | \(-0.333599\pi\) |
−0.500722 | + | 0.865608i | \(0.666932\pi\) | |||||||
\(192\) | −1.00208 | − | 13.5093i | −0.0723187 | − | 0.974950i | ||||
\(193\) | −7.30191 | − | 1.95654i | −0.525603 | − | 0.140835i | −0.0137459 | − | 0.999906i | \(-0.504376\pi\) |
−0.511857 | + | 0.859071i | \(0.671042\pi\) | |||||||
\(194\) | 2.97089 | + | 4.53877i | 0.213297 | + | 0.325865i | ||||
\(195\) | 7.75821 | + | 1.93637i | 0.555577 | + | 0.138667i | ||||
\(196\) | 6.42177 | + | 12.4403i | 0.458698 | + | 0.888592i | ||||
\(197\) | −9.05691 | + | 9.05691i | −0.645278 | + | 0.645278i | −0.951848 | − | 0.306570i | \(-0.900819\pi\) |
0.306570 | + | 0.951848i | \(0.400819\pi\) | |||||||
\(198\) | 0.225719 | − | 1.08112i | 0.0160411 | − | 0.0768317i | ||||
\(199\) | −0.296991 | − | 0.514403i | −0.0210531 | − | 0.0364651i | 0.855307 | − | 0.518122i | \(-0.173369\pi\) |
−0.876360 | + | 0.481657i | \(0.840035\pi\) | |||||||
\(200\) | 7.78645 | − | 11.8056i | 0.550585 | − | 0.834779i | ||||
\(201\) | −7.25142 | + | 12.5598i | −0.511476 | + | 0.885902i | ||||
\(202\) | 4.38922 | − | 1.44370i | 0.308824 | − | 0.101578i | ||||
\(203\) | −15.0126 | − | 5.33262i | −1.05368 | − | 0.374276i | ||||
\(204\) | −15.3284 | + | 11.3069i | −1.07320 | + | 0.791639i | ||||
\(205\) | −3.79651 | + | 3.92946i | −0.265160 | + | 0.274445i | ||||
\(206\) | 23.8213 | − | 1.33475i | 1.65971 | − | 0.0929968i | ||||
\(207\) | 0.331681 | + | 0.0888736i | 0.0230534 | + | 0.00617714i | ||||
\(208\) | −0.320129 | + | 8.44136i | −0.0221969 | + | 0.585303i | ||||
\(209\) | − | 21.0646i | − | 1.45707i | ||||||
\(210\) | 14.1669 | + | 0.0896504i | 0.977609 | + | 0.00618647i | ||||
\(211\) | 4.15052 | 0.285734 | 0.142867 | − | 0.989742i | \(-0.454368\pi\) | ||||
0.142867 | + | 0.989742i | \(0.454368\pi\) | |||||||
\(212\) | 6.05038 | − | 7.58301i | 0.415542 | − | 0.520803i | ||||
\(213\) | 1.17721 | − | 4.39341i | 0.0806611 | − | 0.301031i | ||||
\(214\) | −17.2662 | + | 0.967459i | −1.18029 | + | 0.0661342i | ||||
\(215\) | 0.419219 | + | 24.3615i | 0.0285905 | + | 1.66144i | ||||
\(216\) | 2.50762 | + | 14.7928i | 0.170622 | + | 1.00652i | ||||
\(217\) | −3.17090 | + | 0.584517i | −0.215255 | + | 0.0396796i | ||||
\(218\) | 0.318752 | + | 0.969088i | 0.0215886 | + | 0.0656349i | ||||
\(219\) | 2.27131 | + | 1.31134i | 0.153481 | + | 0.0886123i | ||||
\(220\) | −20.8479 | − | 16.0551i | −1.40557 | − | 1.08243i | ||||
\(221\) | 10.2865 | − | 5.93891i | 0.691944 | − | 0.399494i | ||||
\(222\) | −5.08258 | + | 24.3439i | −0.341120 | + | 1.63385i | ||||
\(223\) | −17.8824 | − | 17.8824i | −1.19749 | − | 1.19749i | −0.974915 | − | 0.222576i | \(-0.928553\pi\) |
−0.222576 | − | 0.974915i | \(-0.571447\pi\) | |||||||
\(224\) | 2.97868 | + | 14.6672i | 0.199021 | + | 0.979995i | ||||
\(225\) | −0.311847 | + | 0.585801i | −0.0207898 | + | 0.0390534i | ||||
\(226\) | −4.99402 | + | 3.26887i | −0.332197 | + | 0.217442i | ||||
\(227\) | −0.666517 | + | 2.48748i | −0.0442383 | + | 0.165100i | −0.984511 | − | 0.175322i | \(-0.943903\pi\) |
0.940273 | + | 0.340422i | \(0.110570\pi\) | |||||||
\(228\) | 4.42661 | + | 11.2872i | 0.293159 | + | 0.747514i | ||||
\(229\) | 7.05872 | − | 12.2261i | 0.466453 | − | 0.807921i | −0.532813 | − | 0.846233i | \(-0.678865\pi\) |
0.999266 | + | 0.0383127i | \(0.0121983\pi\) | |||||||
\(230\) | 5.34653 | − | 6.19247i | 0.352540 | − | 0.408319i | ||||
\(231\) | 2.09364 | − | 26.2769i | 0.137751 | − | 1.72889i | ||||
\(232\) | −13.8866 | − | 9.86097i | −0.911698 | − | 0.647404i | ||||
\(233\) | −0.101054 | − | 0.377137i | −0.00662024 | − | 0.0247071i | 0.962537 | − | 0.271151i | \(-0.0874044\pi\) |
−0.969157 | + | 0.246444i | \(0.920738\pi\) | |||||||
\(234\) | −0.0221766 | − | 0.395784i | −0.00144973 | − | 0.0258732i | ||||
\(235\) | −8.42067 | − | 4.67037i | −0.549304 | − | 0.304661i | ||||
\(236\) | −5.77077 | + | 0.648732i | −0.375645 | + | 0.0422289i | ||||
\(237\) | −2.47445 | + | 2.47445i | −0.160733 | + | 0.160733i | ||||
\(238\) | 15.2267 | − | 14.5263i | 0.986999 | − | 0.941601i | ||||
\(239\) | −8.73515 | −0.565030 | −0.282515 | − | 0.959263i | \(-0.591169\pi\) | ||||
−0.282515 | + | 0.959263i | \(0.591169\pi\) | |||||||
\(240\) | 14.5450 | + | 4.22186i | 0.938877 | + | 0.272520i | ||||
\(241\) | −2.75576 | − | 4.77312i | −0.177514 | − | 0.307464i | 0.763514 | − | 0.645791i | \(-0.223472\pi\) |
−0.941029 | + | 0.338327i | \(0.890139\pi\) | |||||||
\(242\) | −22.2617 | + | 24.9045i | −1.43104 | + | 1.60092i | ||||
\(243\) | −0.356733 | − | 1.33135i | −0.0228844 | − | 0.0854059i | ||||
\(244\) | −8.69777 | − | 11.7913i | −0.556818 | − | 0.754860i | ||||
\(245\) | −15.5399 | + | 1.87363i | −0.992810 | + | 0.119702i | ||||
\(246\) | −5.22328 | − | 2.63766i | −0.333024 | − | 0.168171i | ||||
\(247\) | −1.95681 | − | 7.30292i | −0.124509 | − | 0.464674i | ||||
\(248\) | −3.43177 | − | 0.323121i | −0.217918 | − | 0.0205182i | ||||
\(249\) | 1.45204 | − | 0.838336i | 0.0920193 | − | 0.0531274i | ||||
\(250\) | 9.33042 | + | 12.7649i | 0.590107 | + | 0.807325i | ||||
\(251\) | 5.18227 | 0.327102 | 0.163551 | − | 0.986535i | \(-0.447705\pi\) | ||||
0.163551 | + | 0.986535i | \(0.447705\pi\) | |||||||
\(252\) | −0.203682 | − | 0.672141i | −0.0128308 | − | 0.0423409i | ||||
\(253\) | −10.7638 | − | 10.7638i | −0.676715 | − | 0.676715i | ||||
\(254\) | 10.3861 | − | 6.79832i | 0.651684 | − | 0.426564i | ||||
\(255\) | −5.86483 | − | 20.4722i | −0.367270 | − | 1.28202i | ||||
\(256\) | −1.21182 | + | 15.9540i | −0.0757387 | + | 0.997128i | ||||
\(257\) | −19.8219 | + | 5.31127i | −1.23646 | + | 0.331308i | −0.817091 | − | 0.576509i | \(-0.804415\pi\) |
−0.419367 | + | 0.907817i | \(0.637748\pi\) | |||||||
\(258\) | −24.7871 | + | 8.15296i | −1.54318 | + | 0.507581i | ||||
\(259\) | 2.18227 | − | 27.3892i | 0.135599 | − | 1.70188i | ||||
\(260\) | −8.71927 | − | 3.62949i | −0.540746 | − | 0.225092i | ||||
\(261\) | 0.692150 | + | 0.399613i | 0.0428430 | + | 0.0247354i | ||||
\(262\) | 9.42664 | − | 10.5457i | 0.582380 | − | 0.651517i | ||||
\(263\) | −2.82463 | + | 10.5417i | −0.174174 | + | 0.650027i | 0.822517 | + | 0.568741i | \(0.192569\pi\) |
−0.996691 | + | 0.0812857i | \(0.974097\pi\) | |||||||
\(264\) | 9.81308 | − | 26.4164i | 0.603953 | − | 1.62582i | ||||
\(265\) | 5.58382 | + | 9.29824i | 0.343012 | + | 0.571186i | ||||
\(266\) | −6.42280 | − | 11.7551i | −0.393807 | − | 0.720749i | ||||
\(267\) | −4.44731 | − | 4.44731i | −0.272171 | − | 0.272171i | ||||
\(268\) | 10.6835 | − | 13.3898i | 0.652602 | − | 0.817912i | ||||
\(269\) | 1.74432 | + | 3.02125i | 0.106353 | + | 0.184209i | 0.914290 | − | 0.405060i | \(-0.132749\pi\) |
−0.807937 | + | 0.589269i | \(0.799416\pi\) | |||||||
\(270\) | −16.4773 | − | 3.14532i | −1.00277 | − | 0.191418i | ||||
\(271\) | −16.7981 | − | 9.69836i | −1.02041 | − | 0.589134i | −0.106187 | − | 0.994346i | \(-0.533864\pi\) |
−0.914223 | + | 0.405213i | \(0.867198\pi\) | |||||||
\(272\) | 19.8956 | − | 10.5023i | 1.20635 | − | 0.636793i | ||||
\(273\) | −1.71517 | − | 9.30448i | −0.103807 | − | 0.563133i | ||||
\(274\) | −0.374329 | + | 0.741271i | −0.0226140 | + | 0.0447818i | ||||
\(275\) | 24.9568 | − | 15.5776i | 1.50495 | − | 0.939365i | ||||
\(276\) | 8.02963 | + | 3.50571i | 0.483327 | + | 0.211019i | ||||
\(277\) | 18.2019 | + | 4.87718i | 1.09364 | + | 0.293041i | 0.760174 | − | 0.649719i | \(-0.225114\pi\) |
0.333470 | + | 0.942761i | \(0.391780\pi\) | |||||||
\(278\) | −3.75368 | + | 17.9789i | −0.225131 | + | 1.07830i | ||||
\(279\) | 0.161752 | 0.00968382 | ||||||||
\(280\) | −16.5295 | − | 2.60279i | −0.987829 | − | 0.155546i | ||||
\(281\) | 16.2908 | 0.971826 | 0.485913 | − | 0.874007i | \(-0.338487\pi\) | ||||
0.485913 | + | 0.874007i | \(0.338487\pi\) | |||||||
\(282\) | 2.10756 | − | 10.0945i | 0.125504 | − | 0.601121i | ||||
\(283\) | 5.60419 | + | 1.50164i | 0.333135 | + | 0.0892632i | 0.421509 | − | 0.906824i | \(-0.361501\pi\) |
−0.0883744 | + | 0.996087i | \(0.528167\pi\) | |||||||
\(284\) | −2.14955 | + | 4.92342i | −0.127552 | + | 0.292151i | ||||
\(285\) | −13.5532 | + | 0.233228i | −0.802825 | + | 0.0138152i | ||||
\(286\) | −7.92130 | + | 15.6863i | −0.468397 | + | 0.927551i | ||||
\(287\) | 6.09205 | + | 2.16395i | 0.359602 | + | 0.127734i | ||||
\(288\) | −0.0135649 | − | 0.750694i | −0.000799317 | − | 0.0442351i | ||||
\(289\) | −12.6728 | − | 7.31662i | −0.745456 | − | 0.430390i | ||||
\(290\) | 15.7505 | − | 10.7012i | 0.924902 | − | 0.628396i | ||||
\(291\) | −3.24758 | − | 5.62497i | −0.190376 | − | 0.329742i | ||||
\(292\) | −2.42140 | − | 1.93201i | −0.141702 | − | 0.113062i | ||||
\(293\) | −11.5039 | − | 11.5039i | −0.672066 | − | 0.672066i | 0.286126 | − | 0.958192i | \(-0.407632\pi\) |
−0.958192 | + | 0.286126i | \(0.907632\pi\) | |||||||
\(294\) | −6.84373 | − | 15.3022i | −0.399135 | − | 0.892440i | ||||
\(295\) | 1.57225 | − | 6.29932i | 0.0915398 | − | 0.366760i | ||||
\(296\) | 10.2285 | − | 27.5347i | 0.594519 | − | 1.60042i | ||||
\(297\) | −8.07825 | + | 30.1484i | −0.468748 | + | 1.74939i | ||||
\(298\) | 1.64314 | − | 1.83821i | 0.0951847 | − | 0.106485i | ||||
\(299\) | −4.73165 | − | 2.73182i | −0.273638 | − | 0.157985i | ||||
\(300\) | −10.0993 | + | 13.5916i | −0.583081 | + | 0.784713i | ||||
\(301\) | 26.0328 | − | 12.3861i | 1.50050 | − | 0.713922i | ||||
\(302\) | −20.9986 | + | 6.90685i | −1.20833 | + | 0.397445i | ||||
\(303\) | −5.34389 | + | 1.43189i | −0.306998 | + | 0.0822599i | ||||
\(304\) | −3.17948 | − | 13.9627i | −0.182355 | − | 0.800818i | ||||
\(305\) | 15.7481 | − | 4.51150i | 0.901735 | − | 0.258328i | ||||
\(306\) | −0.883312 | + | 0.578178i | −0.0504956 | + | 0.0330523i | ||||
\(307\) | −12.3338 | − | 12.3338i | −0.703927 | − | 0.703927i | 0.261324 | − | 0.965251i | \(-0.415841\pi\) |
−0.965251 | + | 0.261324i | \(0.915841\pi\) | |||||||
\(308\) | −7.07860 | + | 30.3192i | −0.403341 | + | 1.72760i | ||||
\(309\) | −28.5671 | −1.62512 | ||||||||
\(310\) | 1.67773 | − | 3.46945i | 0.0952884 | − | 0.197051i | ||||
\(311\) | −16.9086 | + | 9.76219i | −0.958799 | + | 0.553563i | −0.895803 | − | 0.444451i | \(-0.853399\pi\) |
−0.0629960 | + | 0.998014i | \(0.520066\pi\) | |||||||
\(312\) | 0.948145 | − | 10.0700i | 0.0536782 | − | 0.570099i | ||||
\(313\) | 8.16997 | + | 30.4907i | 0.461794 | + | 1.72344i | 0.667305 | + | 0.744784i | \(0.267448\pi\) |
−0.205511 | + | 0.978655i | \(0.565886\pi\) | |||||||
\(314\) | −30.2629 | − | 15.2822i | −1.70783 | − | 0.862424i | ||||
\(315\) | 0.783700 | + | 0.0488890i | 0.0441565 | + | 0.00275458i | ||||
\(316\) | 3.32621 | − | 2.45355i | 0.187114 | − | 0.138023i | ||||
\(317\) | −2.89312 | − | 10.7973i | −0.162494 | − | 0.606436i | −0.998347 | − | 0.0574819i | \(-0.981693\pi\) |
0.835853 | − | 0.548954i | \(-0.184974\pi\) | |||||||
\(318\) | −7.74100 | + | 8.65998i | −0.434094 | + | 0.485627i | ||||
\(319\) | −17.7151 | − | 30.6835i | −0.991857 | − | 1.71795i | ||||
\(320\) | −16.2425 | − | 7.49542i | −0.907983 | − | 0.419007i | ||||
\(321\) | 20.7060 | 1.15570 | ||||||||
\(322\) | −9.28874 | − | 2.72474i | −0.517641 | − | 0.151844i | ||||
\(323\) | −14.2379 | + | 14.2379i | −0.792216 | + | 0.792216i | ||||
\(324\) | −1.91794 | − | 17.0609i | −0.106552 | − | 0.947830i | ||||
\(325\) | 7.20523 | − | 7.71902i | 0.399674 | − | 0.428174i | ||||
\(326\) | 0.669091 | + | 11.9412i | 0.0370575 | + | 0.661364i | ||||
\(327\) | −0.316145 | − | 1.17987i | −0.0174828 | − | 0.0652468i | ||||
\(328\) | 5.63510 | + | 4.00153i | 0.311146 | + | 0.220948i | ||||
\(329\) | −0.904908 | + | 11.3573i | −0.0498892 | + | 0.626151i | ||||
\(330\) | 23.8476 | + | 20.5899i | 1.31277 | + | 1.13344i | ||||
\(331\) | 0.741372 | − | 1.28409i | 0.0407495 | − | 0.0705802i | −0.844931 | − | 0.534875i | \(-0.820359\pi\) |
0.885681 | + | 0.464295i | \(0.153692\pi\) | |||||||
\(332\) | −1.84364 | + | 0.723039i | −0.101183 | + | 0.0396819i | ||||
\(333\) | −0.356747 | + | 1.33140i | −0.0195496 | + | 0.0729602i | ||||
\(334\) | −2.29924 | + | 1.50499i | −0.125809 | + | 0.0823492i | ||||
\(335\) | 9.85972 | + | 16.4185i | 0.538694 | + | 0.897038i | ||||
\(336\) | −2.57844 | − | 17.7338i | −0.140666 | − | 0.967456i | ||||
\(337\) | 18.6334 | + | 18.6334i | 1.01503 | + | 1.01503i | 0.999885 | + | 0.0151418i | \(0.00481996\pi\) |
0.0151418 | + | 0.999885i | \(0.495180\pi\) | |||||||
\(338\) | 2.46834 | − | 11.8225i | 0.134260 | − | 0.643061i | ||||
\(339\) | 6.18917 | − | 3.57332i | 0.336149 | − | 0.194076i | ||||
\(340\) | 3.23955 | + | 24.9433i | 0.175689 | + | 1.35274i | ||||
\(341\) | −6.20990 | − | 3.58529i | −0.336285 | − | 0.194154i | ||||
\(342\) | 0.209964 | + | 0.638345i | 0.0113536 | + | 0.0345178i | ||||
\(343\) | 9.63090 | + | 15.8192i | 0.520020 | + | 0.854154i | ||||
\(344\) | 30.3862 | − | 5.15096i | 1.63831 | − | 0.277721i | ||||
\(345\) | −6.80642 | + | 7.04478i | −0.366445 | + | 0.379278i | ||||
\(346\) | 21.4848 | − | 1.20383i | 1.15503 | − | 0.0647185i | ||||
\(347\) | −1.61911 | + | 6.04259i | −0.0869182 | + | 0.324383i | −0.995671 | − | 0.0929527i | \(-0.970369\pi\) |
0.908752 | + | 0.417336i | \(0.137036\pi\) | |||||||
\(348\) | 15.9405 | + | 12.7187i | 0.854498 | + | 0.681793i | ||||
\(349\) | 25.9932 | 1.39138 | 0.695692 | − | 0.718340i | \(-0.255098\pi\) | ||||
0.695692 | + | 0.718340i | \(0.255098\pi\) | |||||||
\(350\) | 9.17734 | − | 16.3027i | 0.490550 | − | 0.871413i | ||||
\(351\) | 11.2027i | 0.597955i | ||||||||
\(352\) | −16.1186 | + | 29.1210i | −0.859127 | + | 1.55215i | ||||
\(353\) | −12.9582 | − | 3.47213i | −0.689694 | − | 0.184803i | −0.103084 | − | 0.994673i | \(-0.532871\pi\) |
−0.586610 | + | 0.809870i | \(0.699538\pi\) | |||||||
\(354\) | 6.94224 | − | 0.388988i | 0.368976 | − | 0.0206745i | ||||
\(355\) | −4.31955 | − | 4.17340i | −0.229258 | − | 0.221501i | ||||
\(356\) | 4.40975 | + | 5.97816i | 0.233716 | + | 0.316842i | ||||
\(357\) | −19.1761 | + | 16.3458i | −1.01491 | + | 0.865113i | ||||
\(358\) | −14.5769 | + | 4.79462i | −0.770412 | + | 0.253403i | ||||
\(359\) | −4.00935 | + | 6.94440i | −0.211605 | + | 0.366511i | −0.952217 | − | 0.305422i | \(-0.901202\pi\) |
0.740612 | + | 0.671933i | \(0.234536\pi\) | |||||||
\(360\) | 0.791812 | + | 0.278732i | 0.0417321 | + | 0.0146905i | ||||
\(361\) | −3.09165 | − | 5.35489i | −0.162718 | − | 0.281836i | ||||
\(362\) | −0.758142 | + | 3.63125i | −0.0398471 | + | 0.190854i | ||||
\(363\) | 28.2814 | − | 28.2814i | 1.48439 | − | 1.48439i | ||||
\(364\) | 0.362437 | + | 11.1690i | 0.0189968 | + | 0.585416i | ||||
\(365\) | 2.96911 | − | 1.78303i | 0.155410 | − | 0.0933278i | ||||
\(366\) | 9.60809 | + | 14.6788i | 0.502223 | + | 0.767271i | ||||
\(367\) | 10.5787 | + | 2.83454i | 0.552202 | + | 0.147962i | 0.524121 | − | 0.851644i | \(-0.324394\pi\) |
0.0280804 | + | 0.999606i | \(0.491061\pi\) | |||||||
\(368\) | −8.75954 | − | 5.51016i | −0.456622 | − | 0.287237i | ||||
\(369\) | −0.280871 | − | 0.162161i | −0.0146216 | − | 0.00844176i | ||||
\(370\) | 24.8572 | + | 21.4615i | 1.29226 | + | 1.11573i | ||||
\(371\) | 7.27904 | − | 10.5691i | 0.377909 | − | 0.548722i | ||||
\(372\) | 4.08094 | + | 0.616158i | 0.211587 | + | 0.0319463i | ||||
\(373\) | −16.0195 | + | 4.29241i | −0.829457 | + | 0.222252i | −0.648477 | − | 0.761234i | \(-0.724594\pi\) |
−0.180980 | + | 0.983487i | \(0.557927\pi\) | |||||||
\(374\) | 46.7273 | − | 2.61822i | 2.41621 | − | 0.135385i | ||||
\(375\) | −10.2992 | − | 15.8851i | −0.531848 | − | 0.820302i | ||||
\(376\) | −4.24139 | + | 11.4176i | −0.218733 | + | 0.588820i | ||||
\(377\) | −8.99208 | − | 8.99208i | −0.463116 | − | 0.463116i | ||||
\(378\) | 4.68451 | + | 19.2875i | 0.240945 | + | 0.992040i | ||||
\(379\) | − | 9.42276i | − | 0.484015i | −0.970274 | − | 0.242007i | \(-0.922194\pi\) | ||
0.970274 | − | 0.242007i | \(-0.0778058\pi\) | |||||||
\(380\) | 15.8698 | + | 2.11750i | 0.814103 | + | 0.108625i | ||||
\(381\) | −12.8717 | + | 7.43148i | −0.659437 | + | 0.380726i | ||||
\(382\) | −0.0243102 | − | 0.0217305i | −0.00124382 | − | 0.00111183i | ||||
\(383\) | −1.98243 | + | 0.531192i | −0.101298 | + | 0.0271426i | −0.309112 | − | 0.951026i | \(-0.600032\pi\) |
0.207814 | + | 0.978168i | \(0.433365\pi\) | |||||||
\(384\) | 2.51737 | − | 18.9914i | 0.128464 | − | 0.969152i | ||||
\(385\) | −29.0038 | − | 19.2479i | −1.47817 | − | 0.980965i | ||||
\(386\) | −9.54299 | − | 4.81904i | −0.485726 | − | 0.245283i | ||||
\(387\) | −1.39697 | + | 0.374316i | −0.0710118 | + | 0.0190276i | ||||
\(388\) | 2.80094 | + | 7.14199i | 0.142196 | + | 0.362579i | ||||
\(389\) | 15.8557 | + | 27.4629i | 0.803916 | + | 1.39242i | 0.917021 | + | 0.398840i | \(0.130587\pi\) |
−0.113105 | + | 0.993583i | \(0.536080\pi\) | |||||||
\(390\) | 10.1805 | + | 4.92301i | 0.515510 | + | 0.249286i | ||||
\(391\) | 14.5509i | 0.735869i | ||||||||
\(392\) | 5.29444 | + | 19.0780i | 0.267409 | + | 0.963583i | ||||
\(393\) | −11.9757 | + | 11.9757i | −0.604093 | + | 0.604093i | ||||
\(394\) | −15.1558 | + | 9.92033i | −0.763537 | + | 0.499779i | ||||
\(395\) | 1.27265 | + | 4.44239i | 0.0640339 | + | 0.223521i | ||||
\(396\) | 0.624953 | − | 1.43142i | 0.0314051 | − | 0.0719316i | ||||
\(397\) | −0.289547 | − | 1.08060i | −0.0145319 | − | 0.0542339i | 0.958279 | − | 0.285834i | \(-0.0922706\pi\) |
−0.972811 | + | 0.231600i | \(0.925604\pi\) | |||||||
\(398\) | −0.262465 | − | 0.797960i | −0.0131562 | − | 0.0399981i | ||||
\(399\) | 6.89086 | + | 14.4831i | 0.344974 | + | 0.725060i | ||||
\(400\) | 14.1914 | − | 14.0927i | 0.709572 | − | 0.704633i | ||||
\(401\) | 12.5923 | − | 21.8106i | 0.628831 | − | 1.08917i | −0.358956 | − | 0.933355i | \(-0.616867\pi\) |
0.987787 | − | 0.155813i | \(-0.0497996\pi\) | |||||||
\(402\) | −13.6688 | + | 15.2915i | −0.681737 | + | 0.762669i | ||||
\(403\) | −2.48598 | − | 0.666117i | −0.123836 | − | 0.0331817i | ||||
\(404\) | 6.49355 | − | 0.729984i | 0.323066 | − | 0.0363181i | ||||
\(405\) | 18.6235 | + | 4.64825i | 0.925411 | + | 0.230974i | ||||
\(406\) | −19.2416 | − | 11.7214i | −0.954947 | − | 0.581723i | ||||
\(407\) | 43.2070 | − | 43.2070i | 2.14169 | − | 2.14169i | ||||
\(408\) | −24.4881 | + | 11.2224i | −1.21234 | + | 0.555594i | ||||
\(409\) | 24.2618 | − | 14.0075i | 1.19967 | − | 0.692629i | 0.239187 | − | 0.970974i | \(-0.423119\pi\) |
0.960481 | + | 0.278345i | \(0.0897858\pi\) | |||||||
\(410\) | −6.39148 | + | 4.34249i | −0.315653 | + | 0.214460i | ||||
\(411\) | 0.497153 | − | 0.861094i | 0.0245227 | − | 0.0424746i | ||||
\(412\) | 33.3631 | + | 5.03731i | 1.64368 | + | 0.248170i | ||||
\(413\) | −7.55482 | + | 1.39264i | −0.371748 | + | 0.0685272i | ||||
\(414\) | 0.433479 | + | 0.218899i | 0.0213043 | + | 0.0107583i | ||||
\(415\) | −0.0380953 | − | 2.21378i | −0.00187002 | − | 0.108670i | ||||
\(416\) | −2.88299 | + | 11.5934i | −0.141350 | + | 0.568412i | ||||
\(417\) | 5.69172 | − | 21.2418i | 0.278725 | − | 1.04021i | ||||
\(418\) | 6.08831 | − | 29.1610i | 0.297789 | − | 1.42631i | ||||
\(419\) | 40.0678i | 1.95744i | 0.205196 | + | 0.978721i | \(0.434217\pi\) | ||||
−0.205196 | + | 0.978721i | \(0.565783\pi\) | |||||||
\(420\) | 19.5862 | + | 4.21878i | 0.955710 | + | 0.205855i | ||||
\(421\) | 31.9415i | 1.55673i | 0.627810 | + | 0.778366i | \(0.283951\pi\) | ||||
−0.627810 | + | 0.778366i | \(0.716049\pi\) | |||||||
\(422\) | 5.74583 | + | 1.19963i | 0.279702 | + | 0.0583970i | ||||
\(423\) | 0.147930 | − | 0.552083i | 0.00719262 | − | 0.0268432i | ||||
\(424\) | 10.5676 | − | 8.74888i | 0.513210 | − | 0.424883i | ||||
\(425\) | −27.3978 | − | 6.33953i | −1.32899 | − | 0.307512i | ||||
\(426\) | 2.89952 | − | 5.74182i | 0.140482 | − | 0.278192i | ||||
\(427\) | −12.5740 | − | 14.7511i | −0.608497 | − | 0.713857i | ||||
\(428\) | −24.1823 | − | 3.65115i | −1.16890 | − | 0.176485i | ||||
\(429\) | 10.5204 | − | 18.2219i | 0.507931 | − | 0.879762i | ||||
\(430\) | −6.46087 | + | 33.8463i | −0.311571 | + | 1.63221i | ||||
\(431\) | 7.25976 | − | 4.19142i | 0.349690 | − | 0.201894i | −0.314859 | − | 0.949139i | \(-0.601957\pi\) |
0.664549 | + | 0.747245i | \(0.268624\pi\) | |||||||
\(432\) | −0.804113 | + | 21.2034i | −0.0386879 | + | 1.02015i | ||||
\(433\) | −21.6628 | + | 21.6628i | −1.04105 | + | 1.04105i | −0.0419294 | + | 0.999121i | \(0.513350\pi\) |
−0.999121 | + | 0.0419294i | \(0.986650\pi\) | |||||||
\(434\) | −4.55862 | − | 0.107305i | −0.218821 | − | 0.00515082i | ||||
\(435\) | −19.5461 | + | 11.7379i | −0.937164 | + | 0.562790i | ||||
\(436\) | 0.161172 | + | 1.43370i | 0.00771874 | + | 0.0686617i | ||||
\(437\) | 8.94642 | + | 2.39719i | 0.427965 | + | 0.114673i | ||||
\(438\) | 2.76530 | + | 2.47185i | 0.132131 | + | 0.118110i | ||||
\(439\) | −19.5876 | + | 33.9267i | −0.934863 | + | 1.61923i | −0.159986 | + | 0.987119i | \(0.551145\pi\) |
−0.774877 | + | 0.632112i | \(0.782188\pi\) | |||||||
\(440\) | −24.2207 | − | 28.2518i | −1.15468 | − | 1.34685i | ||||
\(441\) | −0.331275 | − | 0.868022i | −0.0157750 | − | 0.0413344i | ||||
\(442\) | 15.9568 | − | 5.24849i | 0.758986 | − | 0.249645i | ||||
\(443\) | 4.05106 | + | 15.1187i | 0.192471 | + | 0.718313i | 0.992907 | + | 0.118894i | \(0.0379350\pi\) |
−0.800435 | + | 0.599419i | \(0.795398\pi\) | |||||||
\(444\) | −14.0723 | + | 32.2317i | −0.667840 | + | 1.52965i | ||||
\(445\) | −7.98427 | + | 2.28732i | −0.378491 | + | 0.108429i | ||||
\(446\) | −19.5871 | − | 29.9242i | −0.927477 | − | 1.41695i | ||||
\(447\) | −2.08746 | + | 2.08746i | −0.0987335 | + | 0.0987335i | ||||
\(448\) | −0.115711 | + | 21.1657i | −0.00546684 | + | 0.999985i | ||||
\(449\) | − | 3.18421i | − | 0.150272i | −0.997173 | − | 0.0751360i | \(-0.976061\pi\) | ||
0.997173 | − | 0.0751360i | \(-0.0239391\pi\) | |||||||
\(450\) | −0.601024 | + | 0.720828i | −0.0283325 | + | 0.0339801i | ||||
\(451\) | 7.18871 | + | 12.4512i | 0.338503 | + | 0.586305i | ||||
\(452\) | −7.85834 | + | 3.08188i | −0.369625 | + | 0.144959i | ||||
\(453\) | 25.5659 | − | 6.85035i | 1.20119 | − | 0.321858i | ||||
\(454\) | −1.64166 | + | 3.25093i | −0.0770469 | + | 0.152574i | ||||
\(455\) | −11.8435 | − | 3.97877i | −0.555230 | − | 0.186528i | ||||
\(456\) | 2.86568 | + | 16.9050i | 0.134198 | + | 0.791650i | ||||
\(457\) | 5.43783 | − | 1.45706i | 0.254371 | − | 0.0681585i | −0.129380 | − | 0.991595i | \(-0.541299\pi\) |
0.383751 | + | 0.923437i | \(0.374632\pi\) | |||||||
\(458\) | 13.3055 | − | 14.8851i | 0.621727 | − | 0.695536i | ||||
\(459\) | 25.8380 | − | 14.9176i | 1.20602 | − | 0.696294i | ||||
\(460\) | 9.19136 | − | 7.02731i | 0.428549 | − | 0.327650i | ||||
\(461\) | − | 39.2321i | − | 1.82722i | −0.406593 | − | 0.913610i | \(-0.633283\pi\) | ||
0.406593 | − | 0.913610i | \(-0.366717\pi\) | |||||||
\(462\) | 10.4932 | − | 35.7716i | 0.488187 | − | 1.66424i | ||||
\(463\) | 5.47000 | + | 5.47000i | 0.254213 | + | 0.254213i | 0.822695 | − | 0.568483i | \(-0.192469\pi\) |
−0.568483 | + | 0.822695i | \(0.692469\pi\) | |||||||
\(464\) | −16.3739 | − | 17.6648i | −0.760141 | − | 0.820068i | ||||
\(465\) | −2.23807 | + | 4.03524i | −0.103788 | + | 0.187130i | ||||
\(466\) | −0.0308905 | − | 0.551302i | −0.00143098 | − | 0.0255386i | ||||
\(467\) | −17.0978 | + | 4.58133i | −0.791191 | + | 0.211999i | −0.631713 | − | 0.775203i | \(-0.717648\pi\) |
−0.159478 | + | 0.987202i | \(0.550981\pi\) | |||||||
\(468\) | 0.0836934 | − | 0.554318i | 0.00386873 | − | 0.0256234i | ||||
\(469\) | 12.8531 | − | 18.6626i | 0.593499 | − | 0.861758i | ||||
\(470\) | −10.3074 | − | 8.89932i | −0.475444 | − | 0.410495i | ||||
\(471\) | 35.1547 | + | 20.2966i | 1.61984 | + | 0.935216i | ||||
\(472\) | −8.17635 | − | 0.769851i | −0.376347 | − | 0.0354353i | ||||
\(473\) | 61.9286 | + | 16.5937i | 2.84748 | + | 0.762979i | ||||
\(474\) | −4.14073 | + | 2.71035i | −0.190190 | + | 0.124490i | ||||
\(475\) | −8.41144 | + | 15.8008i | −0.385943 | + | 0.724990i | ||||
\(476\) | 25.2778 | − | 15.7087i | 1.15861 | − | 0.720008i | ||||
\(477\) | −0.455229 | + | 0.455229i | −0.0208435 | + | 0.0208435i | ||||
\(478\) | −12.0926 | − | 2.52473i | −0.553104 | − | 0.115478i | ||||
\(479\) | 7.99779 | + | 13.8526i | 0.365428 | + | 0.632940i | 0.988845 | − | 0.148950i | \(-0.0475892\pi\) |
−0.623417 | + | 0.781890i | \(0.714256\pi\) | |||||||
\(480\) | 18.9153 | + | 10.0485i | 0.863364 | + | 0.458651i | ||||
\(481\) | 10.9658 | − | 18.9933i | 0.499997 | − | 0.866020i | ||||
\(482\) | −2.43540 | − | 7.40424i | −0.110929 | − | 0.337254i | ||||
\(483\) | 10.9219 | + | 3.87955i | 0.496964 | + | 0.176526i | ||||
\(484\) | −38.0164 | + | 28.0426i | −1.72802 | + | 1.27466i | ||||
\(485\) | −8.57583 | + | 0.147575i | −0.389408 | + | 0.00670104i | ||||
\(486\) | −0.109048 | − | 1.94617i | −0.00494651 | − | 0.0882802i | ||||
\(487\) | −23.6473 | − | 6.33627i | −1.07156 | − | 0.287124i | −0.320426 | − | 0.947274i | \(-0.603826\pi\) |
−0.751134 | + | 0.660150i | \(0.770493\pi\) | |||||||
\(488\) | −8.63282 | − | 18.8374i | −0.390789 | − | 0.852727i | ||||
\(489\) | − | 14.3202i | − | 0.647582i | ||||||
\(490\) | −22.0544 | − | 1.89773i | −0.996318 | − | 0.0857308i | ||||
\(491\) | −26.6903 | −1.20452 | −0.602259 | − | 0.798301i | \(-0.705732\pi\) | ||||
−0.602259 | + | 0.798301i | \(0.705732\pi\) | |||||||
\(492\) | −6.46855 | − | 5.16118i | −0.291625 | − | 0.232684i | ||||
\(493\) | −8.76554 | + | 32.7134i | −0.394780 | + | 1.47334i | ||||
\(494\) | −0.598168 | − | 10.6755i | −0.0269128 | − | 0.480312i | ||||
\(495\) | 1.25585 | + | 1.21336i | 0.0564464 | + | 0.0545366i | ||||
\(496\) | −4.65742 | − | 1.43920i | −0.209125 | − | 0.0646222i | ||||
\(497\) | −2.37877 | + | 6.69683i | −0.106703 | + | 0.300394i | ||||
\(498\) | 2.25246 | − | 0.740876i | 0.100935 | − | 0.0331995i | ||||
\(499\) | −14.5995 | − | 8.42903i | −0.653563 | − | 0.377335i | 0.136257 | − | 0.990674i | \(-0.456493\pi\) |
−0.789820 | + | 0.613339i | \(0.789826\pi\) | |||||||
\(500\) | 9.22723 | + | 20.3681i | 0.412654 | + | 0.910888i | ||||
\(501\) | 2.84949 | − | 1.64515i | 0.127306 | − | 0.0735000i | ||||
\(502\) | 7.17414 | + | 1.49784i | 0.320197 | + | 0.0668517i | ||||
\(503\) | 11.1121 | + | 11.1121i | 0.495465 | + | 0.495465i | 0.910023 | − | 0.414558i | \(-0.136064\pi\) |
−0.414558 | + | 0.910023i | \(0.636064\pi\) | |||||||
\(504\) | −0.0877000 | − | 0.989358i | −0.00390647 | − | 0.0440695i | ||||
\(505\) | −1.76917 | + | 7.08829i | −0.0787269 | + | 0.315425i | ||||
\(506\) | −11.7900 | − | 18.0121i | −0.524127 | − | 0.800736i | ||||
\(507\) | −3.74276 | + | 13.9682i | −0.166222 | + | 0.620348i | ||||
\(508\) | 16.3431 | − | 6.40943i | 0.725108 | − | 0.284372i | ||||
\(509\) | 9.00348 | − | 15.5945i | 0.399072 | − | 0.691213i | −0.594540 | − | 0.804066i | \(-0.702666\pi\) |
0.993612 | + | 0.112853i | \(0.0359990\pi\) | |||||||
\(510\) | −2.20197 | − | 30.0360i | −0.0975048 | − | 1.33002i | ||||
\(511\) | −3.37493 | − | 2.32434i | −0.149298 | − | 0.102823i | ||||
\(512\) | −6.28881 | + | 21.7359i | −0.277929 | + | 0.960602i | ||||
\(513\) | −4.91520 | − | 18.3438i | −0.217012 | − | 0.809898i | ||||
\(514\) | −28.9759 | + | 1.62357i | −1.27807 | + | 0.0716128i | ||||
\(515\) | −18.2970 | + | 32.9895i | −0.806264 | + | 1.45369i | ||||
\(516\) | −36.6708 | + | 4.12242i | −1.61434 | + | 0.181479i | ||||
\(517\) | −17.9164 | + | 17.9164i | −0.787963 | + | 0.787963i | ||||
\(518\) | 10.9374 | − | 37.2859i | 0.480561 | − | 1.63825i | ||||
\(519\) | −25.7650 | −1.13096 | ||||||||
\(520\) | −11.0216 | − | 7.54467i | −0.483329 | − | 0.330856i | ||||
\(521\) | −5.35164 | − | 9.26932i | −0.234460 | − | 0.406096i | 0.724656 | − | 0.689111i | \(-0.241999\pi\) |
−0.959116 | + | 0.283015i | \(0.908665\pi\) | |||||||
\(522\) | 0.842687 | + | 0.753262i | 0.0368834 | + | 0.0329694i | ||||
\(523\) | 5.11646 | + | 19.0949i | 0.223727 | + | 0.834961i | 0.982911 | + | 0.184084i | \(0.0589319\pi\) |
−0.759183 | + | 0.650877i | \(0.774401\pi\) | |||||||
\(524\) | 16.0979 | − | 11.8745i | 0.703241 | − | 0.518741i | ||||
\(525\) | −12.0633 | + | 18.8746i | −0.526484 | + | 0.823755i | ||||
\(526\) | −6.95718 | + | 13.7771i | −0.303347 | + | 0.600709i | ||||
\(527\) | 1.77402 | + | 6.62072i | 0.0772774 | + | 0.288403i | ||||
\(528\) | 21.2200 | − | 33.7336i | 0.923483 | − | 1.46807i | ||||
\(529\) | −14.1221 | + | 8.15340i | −0.614004 | + | 0.354495i | ||||
\(530\) | 5.04256 | + | 14.4860i | 0.219035 | + | 0.629233i | ||||
\(531\) | 0.385381 | 0.0167241 | ||||||||
\(532\) | −5.49391 | − | 18.1297i | −0.238191 | − | 0.786021i | ||||
\(533\) | 3.64894 | + | 3.64894i | 0.158053 | + | 0.158053i | ||||
\(534\) | −4.87128 | − | 7.44210i | −0.210801 | − | 0.322051i | ||||
\(535\) | 13.2621 | − | 23.9115i | 0.573370 | − | 1.03379i | ||||
\(536\) | 18.6600 | − | 15.4485i | 0.805988 | − | 0.667272i | ||||
\(537\) | 17.7474 | − | 4.75540i | 0.765856 | − | 0.205211i | ||||
\(538\) | 1.54154 | + | 4.68668i | 0.0664605 | + | 0.202057i | ||||
\(539\) | −6.52186 | + | 40.6675i | −0.280916 | + | 1.75168i | ||||
\(540\) | −21.9014 | − | 9.11671i | −0.942488 | − | 0.392321i | ||||
\(541\) | 30.3728 | + | 17.5358i | 1.30583 | + | 0.753921i | 0.981397 | − | 0.191988i | \(-0.0614935\pi\) |
0.324432 | + | 0.945909i | \(0.394827\pi\) | |||||||
\(542\) | −20.4515 | − | 18.2812i | −0.878466 | − | 0.785245i | ||||
\(543\) | 1.14957 | − | 4.29027i | 0.0493330 | − | 0.184113i | ||||
\(544\) | 30.5782 | − | 8.78850i | 1.31103 | − | 0.376804i | ||||
\(545\) | −1.56501 | − | 0.390611i | −0.0670377 | − | 0.0167320i | ||||
\(546\) | 0.314870 | − | 13.3765i | 0.0134752 | − | 0.572462i | ||||
\(547\) | 14.6808 | + | 14.6808i | 0.627707 | + | 0.627707i | 0.947490 | − | 0.319784i | \(-0.103610\pi\) |
−0.319784 | + | 0.947490i | \(0.603610\pi\) | |||||||
\(548\) | −0.732457 | + | 0.917996i | −0.0312890 | + | 0.0392148i | ||||
\(549\) | 0.486184 | + | 0.842096i | 0.0207498 | + | 0.0359398i | ||||
\(550\) | 39.0516 | − | 14.3518i | 1.66517 | − | 0.611962i | ||||
\(551\) | 18.6694 | + | 10.7788i | 0.795341 | + | 0.459191i | ||||
\(552\) | 10.1027 | + | 7.17399i | 0.429998 | + | 0.305345i | ||||
\(553\) | 4.16114 | − | 3.54699i | 0.176950 | − | 0.150833i | ||||
\(554\) | 23.7883 | + | 12.0127i | 1.01067 | + | 0.510370i | ||||
\(555\) | −28.2784 | − | 27.3216i | −1.20035 | − | 1.15974i | ||||
\(556\) | −10.3929 | + | 23.8044i | −0.440757 | + | 1.00953i | ||||
\(557\) | −24.0959 | − | 6.45647i | −1.02098 | − | 0.273569i | −0.290767 | − | 0.956794i | \(-0.593910\pi\) |
−0.730208 | + | 0.683224i | \(0.760577\pi\) | |||||||
\(558\) | 0.223923 | + | 0.0467513i | 0.00947942 | + | 0.00197914i | ||||
\(559\) | 23.0117 | 0.973289 | ||||||||
\(560\) | −22.1306 | − | 8.38075i | −0.935188 | − | 0.354151i | ||||
\(561\) | −56.0364 | −2.36586 | ||||||||
\(562\) | 22.5523 | + | 4.70854i | 0.951313 | + | 0.198618i | ||||
\(563\) | 19.2833 | + | 5.16693i | 0.812693 | + | 0.217760i | 0.641149 | − | 0.767416i | \(-0.278458\pi\) |
0.171543 | + | 0.985177i | \(0.445125\pi\) | |||||||
\(564\) | 5.83527 | − | 13.3654i | 0.245709 | − | 0.562783i | ||||
\(565\) | −0.162377 | − | 9.43600i | −0.00683126 | − | 0.396975i | ||||
\(566\) | 7.32422 | + | 3.69860i | 0.307860 | + | 0.155464i | ||||
\(567\) | −4.11725 | − | 22.3354i | −0.172908 | − | 0.937997i | ||||
\(568\) | −4.39878 | + | 6.19452i | −0.184569 | + | 0.259916i | ||||
\(569\) | 31.1711 | + | 17.9967i | 1.30676 | + | 0.754460i | 0.981554 | − | 0.191183i | \(-0.0612323\pi\) |
0.325208 | + | 0.945642i | \(0.394566\pi\) | |||||||
\(570\) | −18.8300 | − | 3.59444i | −0.788703 | − | 0.150554i | ||||
\(571\) | 14.1980 | + | 24.5916i | 0.594167 | + | 1.02913i | 0.993664 | + | 0.112393i | \(0.0358517\pi\) |
−0.399496 | + | 0.916735i | \(0.630815\pi\) | |||||||
\(572\) | −15.4998 | + | 19.4260i | −0.648079 | + | 0.812244i | ||||
\(573\) | 0.0276066 | + | 0.0276066i | 0.00115328 | + | 0.00115328i | ||||
\(574\) | 7.80816 | + | 4.75648i | 0.325906 | + | 0.198532i | ||||
\(575\) | 3.77590 | + | 12.3723i | 0.157466 | + | 0.515959i | ||||
\(576\) | 0.198195 | − | 1.04315i | 0.00825814 | − | 0.0434648i | ||||
\(577\) | 5.14724 | − | 19.2098i | 0.214283 | − | 0.799713i | −0.772135 | − | 0.635458i | \(-0.780811\pi\) |
0.986418 | − | 0.164255i | \(-0.0525221\pi\) | |||||||
\(578\) | −15.4290 | − | 13.7917i | −0.641761 | − | 0.573658i | ||||
\(579\) | 11.0856 | + | 6.40025i | 0.460700 | + | 0.265985i | ||||
\(580\) | 24.8974 | − | 10.2619i | 1.03381 | − | 0.426104i | ||||
\(581\) | −2.36565 | + | 1.12555i | −0.0981438 | + | 0.0466956i | ||||
\(582\) | −2.87004 | − | 8.72565i | −0.118967 | − | 0.361690i | ||||
\(583\) | 27.5673 | − | 7.38663i | 1.14172 | − | 0.305923i | ||||
\(584\) | −2.79369 | − | 3.37446i | −0.115604 | − | 0.139636i | ||||
\(585\) | 0.548111 | + | 0.304000i | 0.0226616 | + | 0.0125688i | ||||
\(586\) | −12.6006 | − | 19.2506i | −0.520527 | − | 0.795235i | ||||
\(587\) | −23.6343 | − | 23.6343i | −0.975491 | − | 0.975491i | 0.0242162 | − | 0.999707i | \(-0.492291\pi\) |
−0.999707 | + | 0.0242162i | \(0.992291\pi\) | |||||||
\(588\) | −5.05141 | − | 23.1618i | −0.208317 | − | 0.955176i | ||||
\(589\) | 4.36293 | 0.179771 | ||||||||
\(590\) | 3.99726 | − | 8.26611i | 0.164565 | − | 0.340311i | ||||
\(591\) | 18.7828 | − | 10.8443i | 0.772621 | − | 0.446073i | ||||
\(592\) | 22.1183 | − | 35.1616i | 0.909057 | − | 1.44513i | ||||
\(593\) | −7.02493 | − | 26.2174i | −0.288479 | − | 1.07662i | −0.946259 | − | 0.323410i | \(-0.895171\pi\) |
0.657780 | − | 0.753210i | \(-0.271496\pi\) | |||||||
\(594\) | −19.8971 | + | 39.4015i | −0.816387 | + | 1.61666i | ||||
\(595\) | 6.59416 | + | 32.6141i | 0.270334 | + | 1.33705i | ||||
\(596\) | 2.80601 | − | 2.06983i | 0.114939 | − | 0.0847836i | ||||
\(597\) | 0.260318 | + | 0.971519i | 0.0106541 | + | 0.0397616i | ||||
\(598\) | −5.76074 | − | 5.14942i | −0.235574 | − | 0.210576i | ||||
\(599\) | −13.9732 | − | 24.2023i | −0.570929 | − | 0.988878i | −0.996471 | − | 0.0839390i | \(-0.973250\pi\) |
0.425542 | − | 0.904939i | \(-0.360083\pi\) | |||||||
\(600\) | −17.9094 | + | 15.8967i | −0.731150 | + | 0.648982i | ||||
\(601\) | 5.36533 | 0.218856 | 0.109428 | − | 0.993995i | \(-0.465098\pi\) | ||||
0.109428 | + | 0.993995i | \(0.465098\pi\) | |||||||
\(602\) | 39.6188 | − | 9.62254i | 1.61474 | − | 0.392186i | ||||
\(603\) | −0.803827 | + | 0.803827i | −0.0327344 | + | 0.0327344i | ||||
\(604\) | −31.0660 | + | 3.49234i | −1.26406 | + | 0.142101i | ||||
\(605\) | −14.5456 | − | 50.7737i | −0.591361 | − | 2.06424i | ||||
\(606\) | −7.81174 | + | 0.437707i | −0.317330 | + | 0.0177806i | ||||
\(607\) | 7.53008 | + | 28.1026i | 0.305636 | + | 1.14065i | 0.932396 | + | 0.361438i | \(0.117714\pi\) |
−0.626760 | + | 0.779213i | \(0.715619\pi\) | |||||||
\(608\) | −0.365885 | − | 20.2485i | −0.0148386 | − | 0.821184i | ||||
\(609\) | 22.2177 | + | 15.3015i | 0.900305 | + | 0.620047i | ||||
\(610\) | 23.1051 | − | 1.69386i | 0.935498 | − | 0.0685822i | ||||
\(611\) | −4.54712 | + | 7.87585i | −0.183957 | + | 0.318623i | ||||
\(612\) | −1.38994 | + | 0.545104i | −0.0561848 | + | 0.0220345i | ||||
\(613\) | 3.55308 | − | 13.2603i | 0.143508 | − | 0.535578i | −0.856310 | − | 0.516463i | \(-0.827248\pi\) |
0.999817 | − | 0.0191152i | \(-0.00608493\pi\) | |||||||
\(614\) | −13.5096 | − | 20.6393i | −0.545203 | − | 0.832934i | ||||
\(615\) | 7.93171 | − | 4.76319i | 0.319837 | − | 0.192070i | ||||
\(616\) | −18.5626 | + | 39.9269i | −0.747906 | + | 1.60870i | ||||
\(617\) | −19.3575 | − | 19.3575i | −0.779304 | − | 0.779304i | 0.200409 | − | 0.979712i | \(-0.435773\pi\) |
−0.979712 | + | 0.200409i | \(0.935773\pi\) | |||||||
\(618\) | −39.5472 | − | 8.25677i | −1.59082 | − | 0.332136i | ||||
\(619\) | −3.77825 | + | 2.18138i | −0.151861 | + | 0.0876769i | −0.574005 | − | 0.818852i | \(-0.694611\pi\) |
0.422144 | + | 0.906529i | \(0.361278\pi\) | |||||||
\(620\) | 3.32536 | − | 4.31806i | 0.133550 | − | 0.173417i | ||||
\(621\) | −11.8852 | − | 6.86190i | −0.476935 | − | 0.275358i | ||||
\(622\) | −26.2292 | + | 8.62730i | −1.05170 | + | 0.345923i | ||||
\(623\) | 6.37497 | + | 7.47878i | 0.255408 | + | 0.299631i | ||||
\(624\) | 4.22311 | − | 13.6664i | 0.169060 | − | 0.547095i | ||||
\(625\) | −24.9408 | + | 1.71930i | −0.997632 | + | 0.0687719i | ||||
\(626\) | 2.49744 | + | 44.5716i | 0.0998176 | + | 1.78144i | ||||
\(627\) | −9.23173 | + | 34.4533i | −0.368680 | + | 1.37593i | ||||
\(628\) | −37.4777 | − | 29.9030i | −1.49552 | − | 1.19326i | ||||
\(629\) | −58.4086 | −2.32890 | ||||||||
\(630\) | 1.07079 | + | 0.294194i | 0.0426615 | + | 0.0117210i | ||||
\(631\) | 5.99910i | 0.238820i | 0.992845 | + | 0.119410i | \(0.0381003\pi\) | ||||
−0.992845 | + | 0.119410i | \(0.961900\pi\) | |||||||
\(632\) | 5.31383 | − | 2.43523i | 0.211373 | − | 0.0968683i | ||||
\(633\) | −6.78861 | − | 1.81900i | −0.269823 | − | 0.0722988i | ||||
\(634\) | −0.884384 | − | 15.7836i | −0.0351234 | − | 0.626845i | ||||
\(635\) | 0.337698 | + | 19.6242i | 0.0134011 | + | 0.778762i | ||||
\(636\) | −13.2194 | + | 9.75116i | −0.524181 | + | 0.386659i | ||||
\(637\) | 1.51677 | + | 14.7050i | 0.0600967 | + | 0.582633i | ||||
\(638\) | −15.6557 | − | 47.5974i | −0.619815 | − | 1.88440i | ||||
\(639\) | 0.178259 | − | 0.308754i | 0.00705183 | − | 0.0122141i | ||||
\(640\) | −20.3191 | − | 15.0710i | −0.803183 | − | 0.595732i | ||||
\(641\) | −17.7597 | − | 30.7607i | −0.701466 | − | 1.21498i | −0.967952 | − | 0.251137i | \(-0.919196\pi\) |
0.266485 | − | 0.963839i | \(-0.414138\pi\) | |||||||
\(642\) | 28.6647 | + | 5.98469i | 1.13130 | + | 0.236197i | ||||
\(643\) | 16.7157 | − | 16.7157i | 0.659204 | − | 0.659204i | −0.295988 | − | 0.955192i | \(-0.595649\pi\) |
0.955192 | + | 0.295988i | \(0.0956488\pi\) | |||||||
\(644\) | −12.0715 | − | 6.45677i | −0.475682 | − | 0.254432i | ||||
\(645\) | 9.99096 | − | 40.0295i | 0.393394 | − | 1.57616i | ||||
\(646\) | −23.8256 | + | 15.5952i | −0.937404 | + | 0.613585i | ||||
\(647\) | 16.0770 | + | 4.30781i | 0.632051 | + | 0.169358i | 0.560600 | − | 0.828087i | \(-0.310570\pi\) |
0.0714508 | + | 0.997444i | \(0.477237\pi\) | |||||||
\(648\) | 2.27602 | − | 24.1729i | 0.0894104 | − | 0.949600i | ||||
\(649\) | −14.7954 | − | 8.54211i | −0.580769 | − | 0.335307i | ||||
\(650\) | 12.2057 | − | 8.60339i | 0.478746 | − | 0.337453i | ||||
\(651\) | 5.44251 | + | 0.433638i | 0.213309 | + | 0.0169956i | ||||
\(652\) | −2.52512 | + | 16.7244i | −0.0988914 | + | 0.654978i | ||||
\(653\) | −13.6747 | + | 3.66413i | −0.535133 | + | 0.143388i | −0.516257 | − | 0.856433i | \(-0.672675\pi\) |
−0.0188753 | + | 0.999822i | \(0.506009\pi\) | |||||||
\(654\) | −0.0966406 | − | 1.72474i | −0.00377895 | − | 0.0674427i | ||||
\(655\) | 6.15927 | + | 21.5000i | 0.240663 | + | 0.840073i | ||||
\(656\) | 6.64446 | + | 7.16829i | 0.259422 | + | 0.279875i | ||||
\(657\) | 0.145364 | + | 0.145364i | 0.00567118 | + | 0.00567118i | ||||
\(658\) | −4.53534 | + | 15.4611i | −0.176806 | + | 0.602738i | ||||
\(659\) | − | 12.6643i | − | 0.493332i | −0.969101 | − | 0.246666i | \(-0.920665\pi\) | ||
0.969101 | − | 0.246666i | \(-0.0793350\pi\) | |||||||
\(660\) | 27.0627 | + | 35.3966i | 1.05341 | + | 1.37781i | ||||
\(661\) | −4.18665 | + | 2.41717i | −0.162842 | + | 0.0940169i | −0.579206 | − | 0.815181i | \(-0.696637\pi\) |
0.416364 | + | 0.909198i | \(0.363304\pi\) | |||||||
\(662\) | 1.39747 | − | 1.56337i | 0.0543143 | − | 0.0607622i | ||||
\(663\) | −19.4274 | + | 5.20556i | −0.754498 | + | 0.202167i | ||||
\(664\) | −2.76125 | + | 0.468079i | −0.107157 | + | 0.0181650i | ||||
\(665\) | 21.1387 | + | 1.31868i | 0.819725 | + | 0.0511363i | ||||
\(666\) | −0.878683 | + | 1.74003i | −0.0340483 | + | 0.0674247i | ||||
\(667\) | 15.0477 | − | 4.03203i | 0.582651 | − | 0.156121i | ||||
\(668\) | −3.61798 | + | 1.41890i | −0.139984 | + | 0.0548987i | ||||
\(669\) | 21.4114 | + | 37.0856i | 0.827811 | + | 1.43381i | ||||
\(670\) | 8.90397 | + | 25.5789i | 0.343990 | + | 0.988200i | ||||
\(671\) | − | 43.1058i | − | 1.66408i | ||||||
\(672\) | 1.55610 | − | 25.2952i | 0.0600280 | − | 0.975784i | ||||
\(673\) | 8.02068 | − | 8.02068i | 0.309175 | − | 0.309175i | −0.535415 | − | 0.844589i | \(-0.679845\pi\) |
0.844589 | + | 0.535415i | \(0.179845\pi\) | |||||||
\(674\) | 20.4098 | + | 31.1811i | 0.786156 | + | 1.20105i | ||||
\(675\) | 18.0984 | − | 19.3890i | 0.696608 | − | 0.746282i | ||||
\(676\) | 6.83416 | − | 15.6533i | 0.262852 | − | 0.602048i | ||||
\(677\) | −9.51804 | − | 35.5218i | −0.365808 | − | 1.36521i | −0.866322 | − | 0.499485i | \(-0.833522\pi\) |
0.500514 | − | 0.865728i | \(-0.333144\pi\) | |||||||
\(678\) | 9.60086 | − | 3.15791i | 0.368719 | − | 0.121279i | ||||
\(679\) | 4.36019 | + | 9.16416i | 0.167329 | + | 0.351688i | ||||
\(680\) | −2.72468 | + | 35.4670i | −0.104487 | + | 1.36010i | ||||
\(681\) | 2.18032 | − | 3.77642i | 0.0835499 | − | 0.144713i | ||||
\(682\) | −7.56050 | − | 6.75819i | −0.289506 | − | 0.258785i | ||||
\(683\) | −24.4227 | − | 6.54404i | −0.934508 | − | 0.250401i | −0.240732 | − | 0.970592i | \(-0.577388\pi\) |
−0.693776 | + | 0.720191i | \(0.744054\pi\) | |||||||
\(684\) | 0.106165 | + | 0.944388i | 0.00405932 | + | 0.0361096i | ||||
\(685\) | −0.675976 | − | 1.12564i | −0.0258277 | − | 0.0430086i | ||||
\(686\) | 8.76043 | + | 24.6831i | 0.334475 | + | 0.942405i | ||||
\(687\) | −16.9034 | + | 16.9034i | −0.644907 | + | 0.644907i | ||||
\(688\) | 43.5543 | + | 1.65175i | 1.66049 | + | 0.0629722i | ||||
\(689\) | 8.87117 | − | 5.12178i | 0.337965 | − | 0.195124i | ||||
\(690\) | −11.4587 | + | 7.78526i | −0.436226 | + | 0.296380i | ||||
\(691\) | 0.367720 | − | 0.636909i | 0.0139887 | − | 0.0242292i | −0.858946 | − | 0.512066i | \(-0.828880\pi\) |
0.872935 | + | 0.487836i | \(0.162214\pi\) | |||||||
\(692\) | 30.0907 | + | 4.54322i | 1.14387 | + | 0.172707i | ||||
\(693\) | 0.691597 | − | 1.94702i | 0.0262716 | − | 0.0739610i | ||||
\(694\) | −3.98793 | + | 7.89716i | −0.151380 | + | 0.299772i | ||||
\(695\) | −20.8847 | − | 20.1781i | −0.792202 | − | 0.765398i | ||||
\(696\) | 18.3913 | + | 22.2146i | 0.697120 | + | 0.842041i | ||||
\(697\) | 3.55701 | − | 13.2749i | 0.134731 | − | 0.502824i | ||||
\(698\) | 35.9840 | + | 7.51284i | 1.36202 | + | 0.284365i | ||||
\(699\) | 0.661135i | 0.0250064i | ||||||||
\(700\) | 17.4167 | − | 19.9163i | 0.658291 | − | 0.752764i | ||||
\(701\) | 17.9127i | 0.676552i | 0.941047 | + | 0.338276i | \(0.109844\pi\) | ||||
−0.941047 | + | 0.338276i | \(0.890156\pi\) | |||||||
\(702\) | −3.23792 | + | 15.5086i | −0.122207 | + | 0.585333i | ||||
\(703\) | −9.62253 | + | 35.9118i | −0.362921 | + | 1.35444i | ||||
\(704\) | −30.7309 | + | 35.6552i | −1.15822 | + | 1.34381i | ||||
\(705\) | 11.7261 | + | 11.3293i | 0.441629 | + | 0.426687i | ||||
\(706\) | −16.9353 | − | 8.55200i | −0.637367 | − | 0.321859i | ||||
\(707\) | 8.50103 | − | 1.56706i | 0.319714 | − | 0.0589354i | ||||
\(708\) | 9.72302 | + | 1.46802i | 0.365413 | + | 0.0551717i | ||||
\(709\) | −15.5470 | + | 26.9282i | −0.583880 | + | 1.01131i | 0.411134 | + | 0.911575i | \(0.365133\pi\) |
−0.995014 | + | 0.0997345i | \(0.968201\pi\) | |||||||
\(710\) | −4.77358 | − | 7.02599i | −0.179149 | − | 0.263681i | ||||
\(711\) | −0.237547 | + | 0.137148i | −0.00890870 | + | 0.00514344i | ||||
\(712\) | 4.37682 | + | 9.55050i | 0.164028 | + | 0.357920i | ||||
\(713\) | 2.22942 | − | 2.22942i | 0.0834925 | − | 0.0834925i | ||||
\(714\) | −31.2711 | + | 17.0861i | −1.17029 | + | 0.639431i | ||||
\(715\) | −14.3046 | − | 23.8201i | −0.534961 | − | 0.890822i | ||||
\(716\) | −21.5655 | + | 2.42432i | −0.805940 | + | 0.0906012i | ||||
\(717\) | 14.2873 | + | 3.82826i | 0.533567 | + | 0.142969i | ||||
\(718\) | −7.55754 | + | 8.45474i | −0.282045 | + | 0.315528i | ||||
\(719\) | 18.0789 | − | 31.3137i | 0.674231 | − | 1.16780i | −0.302462 | − | 0.953161i | \(-0.597809\pi\) |
0.976693 | − | 0.214641i | \(-0.0688581\pi\) | |||||||
\(720\) | 1.01559 | + | 0.614725i | 0.0378489 | + | 0.0229094i | ||||
\(721\) | 44.4945 | + | 3.54514i | 1.65706 | + | 0.132028i | ||||
\(722\) | −2.73223 | − | 8.30670i | −0.101683 | − | 0.309143i | ||||
\(723\) | 2.41548 | + | 9.01468i | 0.0898326 | + | 0.335260i | ||||
\(724\) | −2.09909 | + | 4.80784i | −0.0780120 | + | 0.178682i | ||||
\(725\) | 1.03590 | + | 30.0901i | 0.0384725 | + | 1.11752i | ||||
\(726\) | 47.3259 | − | 30.9775i | 1.75643 | − | 1.14968i | ||||
\(727\) | −24.4719 | + | 24.4719i | −0.907613 | + | 0.907613i | −0.996079 | − | 0.0884663i | \(-0.971803\pi\) |
0.0884663 | + | 0.996079i | \(0.471803\pi\) | |||||||
\(728\) | −2.72645 | + | 15.5667i | −0.101049 | + | 0.576942i | ||||
\(729\) | 28.0865i | 1.04024i | ||||||||
\(730\) | 4.62568 | − | 1.61019i | 0.171204 | − | 0.0595958i | ||||
\(731\) | −30.6426 | − | 53.0745i | −1.13336 | − | 1.96303i | ||||
\(732\) | 9.05847 | + | 23.0978i | 0.334811 | + | 0.853718i | ||||
\(733\) | −17.4838 | + | 4.68477i | −0.645779 | + | 0.173036i | −0.566820 | − | 0.823842i | \(-0.691826\pi\) |
−0.0789595 | + | 0.996878i | \(0.525160\pi\) | |||||||
\(734\) | 13.8254 | + | 6.98160i | 0.510306 | + | 0.257695i | ||||
\(735\) | 26.2383 | + | 3.74599i | 0.967815 | + | 0.138173i | ||||
\(736\) | −10.5338 | − | 10.1598i | −0.388280 | − | 0.374497i | ||||
\(737\) | 48.6773 | − | 13.0430i | 1.79305 | − | 0.480446i | ||||
\(738\) | −0.341958 | − | 0.305670i | −0.0125876 | − | 0.0112519i | ||||
\(739\) | 8.96021 | − | 5.17318i | 0.329607 | − | 0.190299i | −0.326060 | − | 0.945349i | \(-0.605721\pi\) |
0.655666 | + | 0.755051i | \(0.272388\pi\) | |||||||
\(740\) | 28.2083 | + | 36.8950i | 1.03696 | + | 1.35629i | ||||
\(741\) | 12.8023i | 0.470304i | ||||||||
\(742\) | 13.1316 | − | 12.5276i | 0.482078 | − | 0.459904i | ||||
\(743\) | −30.8558 | − | 30.8558i | −1.13199 | − | 1.13199i | −0.989846 | − | 0.142142i | \(-0.954601\pi\) |
−0.142142 | − | 0.989846i | \(-0.545399\pi\) | |||||||
\(744\) | 5.47141 | + | 2.03250i | 0.200592 | + | 0.0745152i | ||||
\(745\) | 1.07361 | + | 3.74763i | 0.0393342 | + | 0.137302i | ||||
\(746\) | −23.4174 | + | 1.31212i | −0.857372 | + | 0.0480402i | ||||
\(747\) | 0.126945 | − | 0.0340149i | 0.00464468 | − | 0.00124454i | ||||
\(748\) | 65.4442 | + | 9.88106i | 2.39288 | + | 0.361287i | ||||
\(749\) | −32.2506 | − | 2.56960i | −1.17841 | − | 0.0938911i | ||||
\(750\) | −9.66653 | − | 24.9675i | −0.352972 | − | 0.911684i | ||||
\(751\) | −15.7518 | − | 9.09428i | −0.574790 | − | 0.331855i | 0.184270 | − | 0.982876i | \(-0.441008\pi\) |
−0.759060 | + | 0.651020i | \(0.774341\pi\) | |||||||
\(752\) | −9.17168 | + | 14.5803i | −0.334457 | + | 0.531688i | ||||
\(753\) | −8.47614 | − | 2.27117i | −0.308888 | − | 0.0827662i | ||||
\(754\) | −9.84932 | − | 15.0473i | −0.358691 | − | 0.547990i | ||||
\(755\) | 8.46393 | − | 33.9113i | 0.308034 | − | 1.23416i | ||||
\(756\) | 0.910384 | + | 28.0548i | 0.0331103 | + | 1.02034i | ||||
\(757\) | 31.7850 | − | 31.7850i | 1.15525 | − | 1.15525i | 0.169759 | − | 0.985486i | \(-0.445701\pi\) |
0.985486 | − | 0.169759i | \(-0.0542991\pi\) | |||||||
\(758\) | 2.72347 | − | 13.0445i | 0.0989208 | − | 0.473798i | ||||
\(759\) | 12.8880 | + | 22.3227i | 0.467805 | + | 0.810262i | ||||
\(760\) | 21.3575 | + | 7.51825i | 0.774719 | + | 0.272715i | ||||
\(761\) | −5.69291 | + | 9.86041i | −0.206368 | + | 0.357440i | −0.950568 | − | 0.310517i | \(-0.899498\pi\) |
0.744200 | + | 0.667957i | \(0.232831\pi\) | |||||||
\(762\) | −19.9670 | + | 6.56755i | −0.723329 | + | 0.237917i | ||||
\(763\) | 0.345989 | + | 1.87693i | 0.0125256 | + | 0.0679494i | ||||
\(764\) | −0.0273734 | − | 0.0371093i | −0.000990335 | − | 0.00134257i | ||||
\(765\) | −0.0287203 | − | 1.66898i | −0.00103838 | − | 0.0603422i | ||||
\(766\) | −2.89794 | + | 0.162377i | −0.104707 | + | 0.00586693i | ||||
\(767\) | −5.92297 | − | 1.58706i | −0.213866 | − | 0.0573052i | ||||
\(768\) | 8.97406 | − | 25.5634i | 0.323823 | − | 0.922440i | ||||
\(769\) | 5.34692i | 0.192815i | 0.995342 | + | 0.0964074i | \(0.0307352\pi\) | ||||
−0.995342 | + | 0.0964074i | \(0.969265\pi\) | |||||||
\(770\) | −34.5886 | − | 35.0291i | −1.24648 | − | 1.26236i | ||||
\(771\) | 34.7485 | 1.25144 | ||||||||
\(772\) | −11.8181 | − | 9.42952i | −0.425343 | − | 0.339376i | ||||
\(773\) | −3.57509 | + | 13.3424i | −0.128587 | + | 0.479893i | −0.999942 | − | 0.0107597i | \(-0.996575\pi\) |
0.871355 | + | 0.490653i | \(0.163242\pi\) | |||||||
\(774\) | −2.04210 | + | 0.114423i | −0.0734017 | + | 0.00411284i | ||||
\(775\) | 3.22646 | + | 5.16909i | 0.115898 | + | 0.185679i | ||||
\(776\) | 1.81326 | + | 10.6967i | 0.0650923 | + | 0.383988i | ||||
\(777\) | −15.5729 | + | 43.8416i | −0.558675 | + | 1.57281i | ||||
\(778\) | 14.0124 | + | 42.6014i | 0.502370 | + | 1.52733i | ||||
\(779\) | −7.57593 | − | 4.37396i | −0.271436 | − | 0.156714i | ||||
\(780\) | 12.6706 | + | 9.75771i | 0.453681 | + | 0.349382i | ||||
\(781\) | −13.6873 | + | 7.90237i | −0.489770 | + | 0.282769i | ||||
\(782\) | −4.20565 | + | 20.1437i | −0.150394 | + | 0.720337i | ||||
\(783\) | −22.5867 | − | 22.5867i | −0.807182 | − | 0.807182i | ||||
\(784\) | 1.81530 | + | 27.9411i | 0.0648321 | + | 0.997896i | ||||
\(785\) | 45.9550 | − | 27.5971i | 1.64020 | − | 0.984984i | ||||
\(786\) | −20.0400 | + | 13.1173i | −0.714804 | + | 0.467880i | ||||
\(787\) | −1.35358 | + | 5.05164i | −0.0482500 | + | 0.180072i | −0.985845 | − | 0.167656i | \(-0.946380\pi\) |
0.937595 | + | 0.347728i | \(0.113047\pi\) | |||||||
\(788\) | −23.8484 | + | 9.35284i | −0.849564 | + | 0.333181i | ||||
\(789\) | 9.23995 | − | 16.0041i | 0.328951 | − | 0.569760i | ||||
\(790\) | 0.477820 | + | 6.51772i | 0.0170001 | + | 0.231890i | ||||
\(791\) | −10.0833 | + | 4.79753i | −0.358523 | + | 0.170581i | ||||
\(792\) | 1.27889 | − | 1.80097i | 0.0454433 | − | 0.0639949i | ||||
\(793\) | −4.00436 | − | 14.9445i | −0.142199 | − | 0.530693i | ||||
\(794\) | −0.0885101 | − | 1.57964i | −0.00314110 | − | 0.0560592i | ||||
\(795\) | −5.05789 | − | 17.6554i | −0.179385 | − | 0.626173i | ||||
\(796\) | −0.132711 | − | 1.18053i | −0.00470382 | − | 0.0418427i | ||||
\(797\) | 21.8462 | − | 21.8462i | 0.773831 | − | 0.773831i | −0.204943 | − | 0.978774i | \(-0.565701\pi\) |
0.978774 | + | 0.204943i | \(0.0657009\pi\) | |||||||
\(798\) | 5.35340 | + | 22.0415i | 0.189508 | + | 0.780260i | ||||
\(799\) | 24.2200 | 0.856841 | ||||||||
\(800\) | 23.7193 | − | 15.4076i | 0.838605 | − | 0.544741i | ||||
\(801\) | −0.246494 | − | 0.426941i | −0.00870945 | − | 0.0150852i | ||||
\(802\) | 23.7363 | − | 26.5542i | 0.838157 | − | 0.937660i | ||||
\(803\) | −2.35870 | − | 8.80277i | −0.0832366 | − | 0.310643i | ||||
\(804\) | −23.3423 | + | 17.2183i | −0.823218 | + | 0.607241i | ||||
\(805\) | 11.4756 | − | 10.1279i | 0.404460 | − | 0.356961i | ||||
\(806\) | −3.24898 | − | 1.64067i | −0.114440 | − | 0.0577903i | ||||
\(807\) | −1.52893 | − | 5.70604i | −0.0538209 | − | 0.200862i | ||||
\(808\) | 9.20041 | + | 0.866273i | 0.323669 | + | 0.0304754i | ||||
\(809\) | −40.9620 | + | 23.6494i | −1.44015 | + | 0.831468i | −0.997859 | − | 0.0654051i | \(-0.979166\pi\) |
−0.442287 | + | 0.896874i | \(0.645833\pi\) | |||||||
\(810\) | 24.4383 | + | 11.8176i | 0.858673 | + | 0.415230i | ||||
\(811\) | −52.5118 | −1.84394 | −0.921969 | − | 0.387265i | \(-0.873420\pi\) | ||||
−0.921969 | + | 0.387265i | \(0.873420\pi\) | |||||||
\(812\) | −23.2496 | − | 21.7881i | −0.815900 | − | 0.764612i | ||||
\(813\) | 23.2246 | + | 23.2246i | 0.814522 | + | 0.814522i | ||||
\(814\) | 72.3023 | − | 47.3260i | 2.53420 | − | 1.65878i | ||||
\(815\) | −16.5371 | − | 9.17201i | −0.579270 | − | 0.321281i | ||||
\(816\) | −37.1440 | + | 8.45812i | −1.30030 | + | 0.296093i | ||||
\(817\) | −37.6804 | + | 10.0964i | −1.31827 | + | 0.353229i | ||||
\(818\) | 37.6357 | − | 12.3791i | 1.31590 | − | 0.432826i | ||||
\(819\) | 0.0589015 | − | 0.739263i | 0.00205819 | − | 0.0258319i | ||||
\(820\) | −10.1032 | + | 4.16425i | −0.352821 | + | 0.145422i | ||||
\(821\) | 16.8517 | + | 9.72931i | 0.588127 | + | 0.339555i | 0.764357 | − | 0.644794i | \(-0.223057\pi\) |
−0.176229 | + | 0.984349i | \(0.556390\pi\) | |||||||
\(822\) | 0.937123 | − | 1.04837i | 0.0326859 | − | 0.0365662i | ||||
\(823\) | 10.7444 | − | 40.0987i | 0.374527 | − | 1.39775i | −0.479509 | − | 0.877537i | \(-0.659185\pi\) |
0.854035 | − | 0.520215i | \(-0.174148\pi\) | |||||||
\(824\) | 44.7307 | + | 16.6164i | 1.55827 | + | 0.578861i | ||||
\(825\) | −47.6464 | + | 14.5413i | −1.65884 | + | 0.506262i | ||||
\(826\) | −10.8611 | − | 0.255660i | −0.377907 | − | 0.00889555i | ||||
\(827\) | 15.7682 | + | 15.7682i | 0.548315 | + | 0.548315i | 0.925953 | − | 0.377638i | \(-0.123264\pi\) |
−0.377638 | + | 0.925953i | \(0.623264\pi\) | |||||||
\(828\) | 0.536824 | + | 0.428325i | 0.0186559 | + | 0.0148853i | ||||
\(829\) | 4.45721 | + | 7.72011i | 0.154805 | + | 0.268131i | 0.932988 | − | 0.359907i | \(-0.117192\pi\) |
−0.778183 | + | 0.628038i | \(0.783858\pi\) | |||||||
\(830\) | 0.587113 | − | 3.07568i | 0.0203790 | − | 0.106759i | ||||
\(831\) | −27.6336 | − | 15.9543i | −0.958599 | − | 0.553447i | ||||
\(832\) | −7.34195 | + | 15.2162i | −0.254536 | + | 0.527526i | ||||
\(833\) | 31.8961 | − | 23.0796i | 1.10513 | − | 0.799661i | ||||
\(834\) | 14.0189 | − | 27.7613i | 0.485436 | − | 0.961294i | ||||
\(835\) | −0.0747583 | − | 4.34433i | −0.00258712 | − | 0.150342i | ||||
\(836\) | 16.8569 | − | 38.6097i | 0.583007 | − | 1.33534i | ||||
\(837\) | −6.24440 | − | 1.67318i | −0.215838 | − | 0.0578336i | ||||
\(838\) | −11.5808 | + | 55.4684i | −0.400054 | + | 1.91613i | ||||
\(839\) | 13.9480 | 0.481540 | 0.240770 | − | 0.970582i | \(-0.422600\pi\) | ||||
0.240770 | + | 0.970582i | \(0.422600\pi\) | |||||||
\(840\) | 25.8951 | + | 11.5014i | 0.893465 | + | 0.396834i | ||||
\(841\) | 7.25944 | 0.250326 | ||||||||
\(842\) | −9.23208 | + | 44.2186i | −0.318158 | + | 1.52387i | ||||
\(843\) | −26.6453 | − | 7.13957i | −0.917711 | − | 0.245900i | ||||
\(844\) | 7.60758 | + | 3.32144i | 0.261864 | + | 0.114329i | ||||
\(845\) | 13.7333 | + | 13.2687i | 0.472441 | + | 0.456457i | ||||
\(846\) | 0.364358 | − | 0.721528i | 0.0125269 | − | 0.0248066i | ||||
\(847\) | −47.5592 | + | 40.5398i | −1.63415 | + | 1.39297i | ||||
\(848\) | 17.1582 | − | 9.05725i | 0.589214 | − | 0.311027i | ||||
\(849\) | −8.50814 | − | 4.91218i | −0.291999 | − | 0.168585i | ||||
\(850\) | −36.0962 | − | 16.6950i | −1.23809 | − | 0.572635i | ||||
\(851\) | 13.4336 | + | 23.2677i | 0.460498 | + | 0.797605i | ||||
\(852\) | 5.67355 | − | 7.11071i | 0.194372 | − | 0.243609i | ||||
\(853\) | −6.45667 | − | 6.45667i | −0.221072 | − | 0.221072i | 0.587878 | − | 0.808950i | \(-0.299964\pi\) |
−0.808950 | + | 0.587878i | \(0.799964\pi\) | |||||||
\(854\) | −13.1434 | − | 24.0552i | −0.449758 | − | 0.823151i | ||||
\(855\) | −1.03088 | − | 0.257298i | −0.0352555 | − | 0.00879942i | ||||
\(856\) | −32.4218 | − | 12.0440i | −1.10815 | − | 0.411654i | ||||
\(857\) | −0.813965 | + | 3.03776i | −0.0278045 | + | 0.103768i | −0.978434 | − | 0.206561i | \(-0.933773\pi\) |
0.950629 | + | 0.310329i | \(0.100439\pi\) | |||||||
\(858\) | 19.8308 | − | 22.1850i | 0.677012 | − | 0.757384i | ||||
\(859\) | 30.8952 | + | 17.8374i | 1.05413 | + | 0.608603i | 0.923803 | − | 0.382867i | \(-0.125063\pi\) |
0.130329 | + | 0.991471i | \(0.458397\pi\) | |||||||
\(860\) | −18.7268 | + | 44.9882i | −0.638579 | + | 1.53408i | ||||
\(861\) | −9.01582 | − | 6.20926i | −0.307258 | − | 0.211611i | ||||
\(862\) | 11.2616 | − | 3.70416i | 0.383571 | − | 0.126164i | ||||
\(863\) | 22.6920 | − | 6.08029i | 0.772443 | − | 0.206976i | 0.148993 | − | 0.988838i | \(-0.452397\pi\) |
0.623451 | + | 0.781863i | \(0.285730\pi\) | |||||||
\(864\) | −7.24162 | + | 29.1208i | −0.246365 | + | 0.990708i | ||||
\(865\) | −16.5023 | + | 29.7537i | −0.561097 | + | 1.01166i | ||||
\(866\) | −36.2505 | + | 23.7280i | −1.23184 | + | 0.806311i | ||||
\(867\) | 17.5210 | + | 17.5210i | 0.595046 | + | 0.595046i | ||||
\(868\) | −6.27977 | − | 1.46613i | −0.213149 | − | 0.0497638i | ||||
\(869\) | 12.1597 | 0.412490 | ||||||||
\(870\) | −30.4515 | + | 10.6001i | −1.03240 | + | 0.359377i | ||||
\(871\) | 15.6644 | − | 9.04385i | 0.530768 | − | 0.306439i | ||||
\(872\) | −0.191263 | + | 2.03134i | −0.00647698 | + | 0.0687900i | ||||
\(873\) | −0.131768 | − | 0.491766i | −0.00445968 | − | 0.0166437i | ||||
\(874\) | 11.6922 | + | 5.90437i | 0.395496 | + | 0.199718i | ||||
\(875\) | 14.0701 | + | 26.0198i | 0.475657 | + | 0.879631i | ||||
\(876\) | 3.11374 | + | 4.22120i | 0.105204 | + | 0.142621i | ||||
\(877\) | −10.1411 | − | 37.8470i | −0.342440 | − | 1.27800i | −0.895575 | − | 0.444911i | \(-0.853235\pi\) |
0.553135 | − | 0.833092i | \(-0.313431\pi\) | |||||||
\(878\) | −36.9222 | + | 41.3054i | −1.24606 | + | 1.39399i | ||||
\(879\) | 13.7742 | + | 23.8576i | 0.464591 | + | 0.804696i | ||||
\(880\) | −25.3646 | − | 46.1112i | −0.855039 | − | 1.55441i | ||||
\(881\) | −27.2597 | −0.918404 | −0.459202 | − | 0.888332i | \(-0.651865\pi\) | ||||
−0.459202 | + | 0.888332i | \(0.651865\pi\) | |||||||
\(882\) | −0.207720 | − | 1.29741i | −0.00699430 | − | 0.0436860i | ||||
\(883\) | 10.1753 | − | 10.1753i | 0.342426 | − | 0.342426i | −0.514853 | − | 0.857279i | \(-0.672153\pi\) |
0.857279 | + | 0.514853i | \(0.172153\pi\) | |||||||
\(884\) | 23.6069 | − | 2.65382i | 0.793987 | − | 0.0892575i | ||||
\(885\) | −5.33231 | + | 9.61414i | −0.179244 | + | 0.323176i | ||||
\(886\) | 1.23835 | + | 22.1007i | 0.0416031 | + | 0.742488i | ||||
\(887\) | −2.88000 | − | 10.7483i | −0.0967009 | − | 0.360893i | 0.900571 | − | 0.434709i | \(-0.143149\pi\) |
−0.997272 | + | 0.0738164i | \(0.976482\pi\) | |||||||
\(888\) | −28.7971 | + | 40.5531i | −0.966367 | + | 1.36087i | ||||
\(889\) | 20.9705 | − | 9.97749i | 0.703327 | − | 0.334634i | ||||
\(890\) | −11.7142 | + | 0.858781i | −0.392662 | + | 0.0287864i | ||||
\(891\) | 25.2542 | − | 43.7416i | 0.846048 | − | 1.46540i | ||||
\(892\) | −18.4667 | − | 47.0873i | −0.618310 | − | 1.57660i | ||||
\(893\) | 3.99012 | − | 14.8913i | 0.133524 | − | 0.498320i | ||||
\(894\) | −3.49314 | + | 2.28646i | −0.116828 | + | 0.0764708i | ||||
\(895\) | 5.87551 | − | 23.5407i | 0.196397 | − | 0.786877i | ||||
\(896\) | −6.27773 | + | 29.2676i | −0.209724 | + | 0.977761i | ||||
\(897\) | 6.54186 | + | 6.54186i | 0.218426 | + | 0.218426i | ||||
\(898\) | 0.920334 | − | 4.40810i | 0.0307120 | − | 0.147100i | ||||
\(899\) | 6.35523 | − | 3.66919i | 0.211959 | − | 0.122374i | ||||
\(900\) | −1.04038 | + | 0.824173i | −0.0346792 | + | 0.0274724i | ||||
\(901\) | −23.6259 | − | 13.6404i | −0.787093 | − | 0.454428i | ||||
\(902\) | 6.35300 | + | 19.3148i | 0.211532 | + | 0.643111i | ||||
\(903\) | −48.0077 | + | 8.84962i | −1.59759 | + | 0.294497i | ||||
\(904\) | −11.7696 | + | 1.99514i | −0.391450 | + | 0.0663572i | ||||
\(905\) | −4.21815 | − | 4.07543i | −0.140216 | − | 0.135472i | ||||
\(906\) | 37.3724 | − | 2.09405i | 1.24162 | − | 0.0695701i | ||||
\(907\) | −2.75514 | + | 10.2823i | −0.0914830 | + | 0.341419i | −0.996463 | − | 0.0840353i | \(-0.973219\pi\) |
0.904980 | + | 0.425455i | \(0.139886\pi\) | |||||||
\(908\) | −3.21227 | + | 4.02597i | −0.106603 | + | 0.133607i | ||||
\(909\) | −0.433649 | −0.0143832 | ||||||||
\(910\) | −15.2457 | − | 8.93119i | −0.505388 | − | 0.296066i | ||||
\(911\) | − | 11.1349i | − | 0.368915i | −0.982840 | − | 0.184457i | \(-0.940947\pi\) | ||
0.982840 | − | 0.184457i | \(-0.0590528\pi\) | |||||||
\(912\) | −0.918930 | + | 24.2310i | −0.0304288 | + | 0.802367i | ||||
\(913\) | −5.62757 | − | 1.50790i | −0.186246 | − | 0.0499043i | ||||
\(914\) | 7.94907 | − | 0.445402i | 0.262932 | − | 0.0147326i | ||||
\(915\) | −27.7349 | + | 0.477270i | −0.916888 | + | 0.0157781i | ||||
\(916\) | 22.7220 | − | 16.7607i | 0.750754 | − | 0.553789i | ||||
\(917\) | 20.1388 | − | 17.1665i | 0.665042 | − | 0.566887i | ||||
\(918\) | 40.0809 | − | 13.1834i | 1.32287 | − | 0.435116i | ||||
\(919\) | −22.7273 | + | 39.3649i | −0.749705 | + | 1.29853i | 0.198259 | + | 0.980150i | \(0.436471\pi\) |
−0.947964 | + | 0.318378i | \(0.896862\pi\) | |||||||
\(920\) | 14.7553 | − | 7.07176i | 0.486467 | − | 0.233149i | ||||
\(921\) | 14.7678 | + | 25.5786i | 0.486616 | + | 0.842843i | ||||
\(922\) | 11.3393 | − | 54.3114i | 0.373439 | − | 1.78865i | ||||
\(923\) | −4.01119 | + | 4.01119i | −0.132030 | + | 0.132030i | ||||
\(924\) | 24.8655 | − | 46.4880i | 0.818014 | − | 1.52934i | ||||
\(925\) | −49.6634 | + | 15.1568i | −1.63292 | + | 0.498354i | ||||
\(926\) | 5.99147 | + | 9.15347i | 0.196892 | + | 0.300802i | ||||
\(927\) | −2.16289 | − | 0.579544i | −0.0710386 | − | 0.0190347i | ||||
\(928\) | −17.5618 | − | 29.1871i | −0.576494 | − | 0.958113i | ||||
\(929\) | 9.74036 | + | 5.62360i | 0.319571 | + | 0.184504i | 0.651201 | − | 0.758905i | \(-0.274265\pi\) |
−0.331631 | + | 0.943409i | \(0.607599\pi\) | |||||||
\(930\) | −4.26461 | + | 4.93936i | −0.139842 | + | 0.161968i | ||||
\(931\) | −8.93548 | − | 23.4132i | −0.292849 | − | 0.767335i | ||||
\(932\) | 0.116580 | − | 0.772131i | 0.00381869 | − | 0.0252920i | ||||
\(933\) | 31.9342 | − | 8.55673i | 1.04548 | − | 0.280135i | ||||
\(934\) | −24.9937 | + | 1.40044i | −0.817818 | + | 0.0458239i | ||||
\(935\) | −35.8910 | + | 64.7114i | −1.17376 | + | 2.11629i | ||||
\(936\) | 0.276077 | − | 0.743188i | 0.00902387 | − | 0.0242919i | ||||
\(937\) | 10.7077 | + | 10.7077i | 0.349806 | + | 0.349806i | 0.860037 | − | 0.510231i | \(-0.170440\pi\) |
−0.510231 | + | 0.860037i | \(0.670440\pi\) | |||||||
\(938\) | 23.1874 | − | 22.1209i | 0.757095 | − | 0.722272i | ||||
\(939\) | − | 53.4514i | − | 1.74432i | ||||||
\(940\) | −11.6970 | − | 15.2990i | −0.381513 | − | 0.499000i | ||||
\(941\) | 49.4039 | − | 28.5233i | 1.61052 | − | 0.929834i | 0.621271 | − | 0.783596i | \(-0.286617\pi\) |
0.989249 | − | 0.146239i | \(-0.0467168\pi\) | |||||||
\(942\) | 42.8005 | + | 38.2586i | 1.39452 | + | 1.24653i | ||||
\(943\) | −6.10630 | + | 1.63618i | −0.198848 | + | 0.0532813i | ||||
\(944\) | −11.0965 | − | 3.42897i | −0.361161 | − | 0.111604i | ||||
\(945\) | −29.7489 | − | 9.99405i | −0.967731 | − | 0.325106i | ||||
\(946\) | 80.9355 | + | 40.8710i | 2.63144 | + | 1.32883i | ||||
\(947\) | 33.3913 | − | 8.94718i | 1.08507 | − | 0.290744i | 0.328400 | − | 0.944539i | \(-0.393491\pi\) |
0.756672 | + | 0.653794i | \(0.226824\pi\) | |||||||
\(948\) | −6.51565 | + | 2.55530i | −0.211618 | + | 0.0829924i | ||||
\(949\) | −1.63548 | − | 2.83274i | −0.0530901 | − | 0.0919547i | ||||
\(950\) | −16.2114 | + | 19.4429i | −0.525967 | + | 0.630810i | ||||
\(951\) | 18.9280i | 0.613783i | ||||||||
\(952\) | 39.5340 | − | 14.4405i | 1.28130 | − | 0.468019i | ||||
\(953\) | 16.8673 | − | 16.8673i | 0.546387 | − | 0.546387i | −0.379007 | − | 0.925394i | \(-0.623734\pi\) |
0.925394 | + | 0.379007i | \(0.123734\pi\) | |||||||
\(954\) | −0.761778 | + | 0.498627i | −0.0246635 | + | 0.0161436i | ||||
\(955\) | 0.0495622 | − | 0.0141985i | 0.00160379 | − | 0.000459452i | ||||
\(956\) | −16.0109 | − | 6.99029i | −0.517828 | − | 0.226082i | ||||
\(957\) | 15.5276 | + | 57.9499i | 0.501937 | + | 1.87326i | ||||
\(958\) | 7.06802 | + | 21.4886i | 0.228357 | + | 0.694265i | ||||
\(959\) | −0.881198 | + | 1.27950i | −0.0284554 | + | 0.0413171i | ||||
\(960\) | 23.2814 | + | 19.3780i | 0.751403 | + | 0.625421i | ||||
\(961\) | −14.7574 | + | 25.5606i | −0.476045 | + | 0.824535i | ||||
\(962\) | 20.6703 | − | 23.1242i | 0.666436 | − | 0.745553i | ||||
\(963\) | 1.56771 | + | 0.420066i | 0.0505187 | + | 0.0135365i | ||||
\(964\) | −1.23142 | − | 10.9541i | −0.0396614 | − | 0.352807i | ||||
\(965\) | 14.4913 | − | 8.70239i | 0.466492 | − | 0.280140i | ||||
\(966\) | 13.9986 | + | 8.52748i | 0.450396 | + | 0.274367i | ||||
\(967\) | 18.2418 | − | 18.2418i | 0.586615 | − | 0.586615i | −0.350098 | − | 0.936713i | \(-0.613852\pi\) |
0.936713 | + | 0.350098i | \(0.113852\pi\) | |||||||
\(968\) | −60.7337 | + | 27.8332i | −1.95206 | + | 0.894591i | ||||
\(969\) | 29.5274 | − | 17.0477i | 0.948557 | − | 0.547649i | ||||
\(970\) | −11.9147 | − | 2.27438i | −0.382558 | − | 0.0730260i | ||||
\(971\) | 0.716859 | − | 1.24164i | 0.0230051 | − | 0.0398460i | −0.854294 | − | 0.519791i | \(-0.826010\pi\) |
0.877299 | + | 0.479945i | \(0.159343\pi\) | |||||||
\(972\) | 0.411543 | − | 2.72573i | 0.0132002 | − | 0.0874278i | ||||
\(973\) | −11.5012 | + | 32.3787i | −0.368711 | + | 1.03801i | ||||
\(974\) | −30.9050 | − | 15.6065i | −0.990261 | − | 0.500064i | ||||
\(975\) | −15.1678 | + | 9.46751i | −0.485759 | + | 0.303203i | ||||
\(976\) | −6.50638 | − | 28.5729i | −0.208264 | − | 0.914596i | ||||
\(977\) | −6.45746 | + | 24.0996i | −0.206592 | + | 0.771014i | 0.782366 | + | 0.622819i | \(0.214013\pi\) |
−0.988958 | + | 0.148194i | \(0.952654\pi\) | |||||||
\(978\) | 4.13898 | − | 19.8244i | 0.132350 | − | 0.633914i | ||||
\(979\) | 21.8545i | 0.698474i | ||||||||
\(980\) | −29.9829 | − | 9.00157i | −0.957767 | − | 0.287545i | ||||
\(981\) | − | 0.0957446i | − | 0.00305689i | ||||||
\(982\) | −36.9491 | − | 7.71433i | −1.17909 | − | 0.246174i | ||||
\(983\) | 1.37527 | − | 5.13258i | 0.0438643 | − | 0.163704i | −0.940519 | − | 0.339740i | \(-0.889661\pi\) |
0.984384 | + | 0.176036i | \(0.0563276\pi\) | |||||||
\(984\) | −7.46309 | − | 9.01455i | −0.237915 | − | 0.287373i | ||||
\(985\) | −0.492780 | − | 28.6362i | −0.0157013 | − | 0.912426i | ||||
\(986\) | −21.5899 | + | 42.7538i | −0.687562 | + | 1.36156i | ||||
\(987\) | 6.45753 | − | 18.1795i | 0.205545 | − | 0.578661i | ||||
\(988\) | 2.25746 | − | 14.9516i | 0.0718194 | − | 0.475674i | ||||
\(989\) | −14.0952 | + | 24.4135i | −0.448200 | + | 0.776306i | ||||
\(990\) | 1.38786 | + | 2.04271i | 0.0441090 | + | 0.0649217i | ||||
\(991\) | 39.2568 | − | 22.6649i | 1.24703 | − | 0.719975i | 0.276517 | − | 0.961009i | \(-0.410820\pi\) |
0.970517 | + | 0.241034i | \(0.0774864\pi\) | |||||||
\(992\) | −6.03159 | − | 3.33852i | −0.191503 | − | 0.105998i | ||||
\(993\) | −1.77536 | + | 1.77536i | −0.0563393 | + | 0.0563393i | ||||
\(994\) | −5.22868 | + | 8.58331i | −0.165844 | + | 0.272246i | ||||
\(995\) | 1.28865 | + | 0.321635i | 0.0408530 | + | 0.0101965i | ||||
\(996\) | 3.33235 | − | 0.374613i | 0.105590 | − | 0.0118701i | ||||
\(997\) | 53.9385 | + | 14.4528i | 1.70825 | + | 0.457724i | 0.974994 | − | 0.222231i | \(-0.0713339\pi\) |
0.733254 | + | 0.679955i | \(0.238001\pi\) | |||||||
\(998\) | −17.7748 | − | 15.8885i | −0.562650 | − | 0.502943i | ||||
\(999\) | 27.5443 | − | 47.7082i | 0.871464 | − | 1.50942i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 280.2.br.a.107.43 | yes | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.163.25 | yes | 176 | |
7.4 | even | 3 | inner | 280.2.br.a.67.13 | ✓ | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.107.35 | yes | 176 | |
35.18 | odd | 12 | inner | 280.2.br.a.123.35 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.163.13 | yes | 176 | |
56.11 | odd | 6 | inner | 280.2.br.a.67.25 | yes | 176 | |
280.123 | even | 12 | inner | 280.2.br.a.123.43 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.13 | ✓ | 176 | 7.4 | even | 3 | inner | |
280.2.br.a.67.25 | yes | 176 | 56.11 | odd | 6 | inner | |
280.2.br.a.107.35 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.107.43 | yes | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.123.35 | yes | 176 | 35.18 | odd | 12 | inner | |
280.2.br.a.123.43 | yes | 176 | 280.123 | even | 12 | inner | |
280.2.br.a.163.13 | yes | 176 | 40.3 | even | 4 | inner | |
280.2.br.a.163.25 | yes | 176 | 5.3 | odd | 4 | inner |