Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), 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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 15.8 | ||
Character | \(\chi\) | \(=\) | 76.15 |
Dual form | 76.2.k.a.71.8 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41400 | − | 0.0247662i | 0.999847 | − | 0.0175123i | ||||
\(3\) | −0.361434 | − | 2.04979i | −0.208674 | − | 1.18345i | −0.891553 | − | 0.452917i | \(-0.850383\pi\) |
0.682878 | − | 0.730532i | \(-0.260728\pi\) | |||||||
\(4\) | 1.99877 | − | 0.0700386i | 0.999387 | − | 0.0350193i | ||||
\(5\) | −2.99965 | + | 2.51700i | −1.34148 | + | 1.12564i | −0.360241 | + | 0.932859i | \(0.617306\pi\) |
−0.981242 | + | 0.192779i | \(0.938250\pi\) | |||||||
\(6\) | −0.561832 | − | 2.88945i | −0.229367 | − | 1.17961i | ||||
\(7\) | −0.0108543 | − | 0.00626673i | −0.00410253 | − | 0.00236860i | 0.497947 | − | 0.867207i | \(-0.334087\pi\) |
−0.502050 | + | 0.864839i | \(0.667421\pi\) | |||||||
\(8\) | 2.82452 | − | 0.148536i | 0.998620 | − | 0.0525155i | ||||
\(9\) | −1.25194 | + | 0.455671i | −0.417315 | + | 0.151890i | ||||
\(10\) | −4.17916 | + | 3.63332i | −1.32157 | + | 1.14896i | ||||
\(11\) | −3.15988 | + | 1.82436i | −0.952741 | + | 0.550065i | −0.893931 | − | 0.448204i | \(-0.852064\pi\) |
−0.0588096 | + | 0.998269i | \(0.518730\pi\) | |||||||
\(12\) | −0.865990 | − | 4.07176i | −0.249990 | − | 1.17542i | ||||
\(13\) | 3.04424 | + | 0.536781i | 0.844320 | + | 0.148876i | 0.579044 | − | 0.815296i | \(-0.303426\pi\) |
0.265276 | + | 0.964173i | \(0.414537\pi\) | |||||||
\(14\) | −0.0155031 | − | 0.00859231i | −0.00414339 | − | 0.00229639i | ||||
\(15\) | 6.24352 | + | 5.23893i | 1.61207 | + | 1.35269i | ||||
\(16\) | 3.99019 | − | 0.279983i | 0.997547 | − | 0.0699957i | ||||
\(17\) | −2.82933 | − | 1.02979i | −0.686213 | − | 0.249761i | −0.0247002 | − | 0.999695i | \(-0.507863\pi\) |
−0.661513 | + | 0.749934i | \(0.730085\pi\) | |||||||
\(18\) | −1.75896 | + | 0.675323i | −0.414591 | + | 0.159175i | ||||
\(19\) | −3.96096 | − | 1.81957i | −0.908706 | − | 0.417438i | ||||
\(20\) | −5.81933 | + | 5.24101i | −1.30124 | + | 1.17193i | ||||
\(21\) | −0.00892239 | + | 0.0245141i | −0.00194703 | + | 0.00534941i | ||||
\(22\) | −4.42288 | + | 2.65790i | −0.942962 | + | 0.566666i | ||||
\(23\) | 2.50024 | − | 2.97967i | 0.521337 | − | 0.621305i | −0.439559 | − | 0.898214i | \(-0.644865\pi\) |
0.960896 | + | 0.276908i | \(0.0893098\pi\) | |||||||
\(24\) | −1.32535 | − | 5.73601i | −0.270536 | − | 1.17086i | ||||
\(25\) | 1.79434 | − | 10.1762i | 0.358868 | − | 2.03524i | ||||
\(26\) | 4.31784 | + | 0.683613i | 0.846797 | + | 0.134068i | ||||
\(27\) | −1.73560 | − | 3.00614i | −0.334016 | − | 0.578532i | ||||
\(28\) | −0.0221342 | − | 0.0117655i | −0.00418297 | − | 0.00222348i | ||||
\(29\) | −0.126343 | − | 0.347124i | −0.0234612 | − | 0.0644592i | 0.927409 | − | 0.374049i | \(-0.122031\pi\) |
−0.950870 | + | 0.309589i | \(0.899808\pi\) | |||||||
\(30\) | 8.95806 | + | 7.25320i | 1.63551 | + | 1.32425i | ||||
\(31\) | −1.29454 | + | 2.24221i | −0.232506 | + | 0.402713i | −0.958545 | − | 0.284941i | \(-0.908026\pi\) |
0.726039 | + | 0.687654i | \(0.241359\pi\) | |||||||
\(32\) | 5.63518 | − | 0.494716i | 0.996169 | − | 0.0874543i | ||||
\(33\) | 4.88165 | + | 5.81773i | 0.849787 | + | 1.01274i | ||||
\(34\) | −4.02617 | − | 1.38605i | −0.690482 | − | 0.237706i | ||||
\(35\) | 0.0483324 | − | 0.00852231i | 0.00816967 | − | 0.00144053i | ||||
\(36\) | −2.47044 | + | 0.998467i | −0.411740 | + | 0.166411i | ||||
\(37\) | 2.87327i | 0.472363i | 0.971709 | + | 0.236182i | \(0.0758961\pi\) | ||||
−0.971709 | + | 0.236182i | \(0.924104\pi\) | |||||||
\(38\) | −5.64584 | − | 2.47477i | −0.915877 | − | 0.401460i | ||||
\(39\) | − | 6.43407i | − | 1.03028i | ||||||
\(40\) | −8.09871 | + | 7.55489i | −1.28052 | + | 1.19453i | ||||
\(41\) | 7.88423 | − | 1.39020i | 1.23131 | − | 0.217113i | 0.480122 | − | 0.877201i | \(-0.340592\pi\) |
0.751188 | + | 0.660088i | \(0.229481\pi\) | |||||||
\(42\) | −0.0120091 | + | 0.0348838i | −0.00185305 | + | 0.00538268i | ||||
\(43\) | 5.11775 | + | 6.09909i | 0.780449 | + | 0.930103i | 0.998954 | − | 0.0457330i | \(-0.0145623\pi\) |
−0.218505 | + | 0.975836i | \(0.570118\pi\) | |||||||
\(44\) | −6.18812 | + | 3.86780i | −0.932894 | + | 0.583092i | ||||
\(45\) | 2.60847 | − | 4.51800i | 0.388848 | − | 0.673504i | ||||
\(46\) | 3.46154 | − | 4.27517i | 0.510376 | − | 0.630340i | ||||
\(47\) | 2.68591 | + | 7.37948i | 0.391780 | + | 1.07641i | 0.966188 | + | 0.257838i | \(0.0830102\pi\) |
−0.574408 | + | 0.818569i | \(0.694768\pi\) | |||||||
\(48\) | −2.01610 | − | 8.07787i | −0.290999 | − | 1.16594i | ||||
\(49\) | −3.49992 | − | 6.06204i | −0.499989 | − | 0.866006i | ||||
\(50\) | 2.28517 | − | 14.4336i | 0.323171 | − | 2.04122i | ||||
\(51\) | −1.08825 | + | 6.17175i | −0.152385 | + | 0.864217i | ||||
\(52\) | 6.12234 | + | 0.859690i | 0.849015 | + | 0.119218i | ||||
\(53\) | −0.993871 | + | 1.18445i | −0.136519 | + | 0.162697i | −0.829972 | − | 0.557805i | \(-0.811644\pi\) |
0.693454 | + | 0.720501i | \(0.256088\pi\) | |||||||
\(54\) | −2.52858 | − | 4.20769i | −0.344096 | − | 0.572594i | ||||
\(55\) | 4.88662 | − | 13.4259i | 0.658912 | − | 1.81034i | ||||
\(56\) | −0.0315890 | − | 0.0160883i | −0.00422126 | − | 0.00214988i | ||||
\(57\) | −2.29812 | + | 8.77680i | −0.304393 | + | 1.16252i | ||||
\(58\) | −0.187245 | − | 0.487703i | −0.0245865 | − | 0.0640385i | ||||
\(59\) | −3.93600 | − | 1.43259i | −0.512423 | − | 0.186507i | 0.0728499 | − | 0.997343i | \(-0.476791\pi\) |
−0.585273 | + | 0.810836i | \(0.699013\pi\) | |||||||
\(60\) | 12.8463 | + | 10.0341i | 1.65845 | + | 1.29540i | ||||
\(61\) | −2.45324 | − | 2.05851i | −0.314105 | − | 0.263565i | 0.472081 | − | 0.881555i | \(-0.343503\pi\) |
−0.786186 | + | 0.617990i | \(0.787947\pi\) | |||||||
\(62\) | −1.77494 | + | 3.20254i | −0.225418 | + | 0.406723i | ||||
\(63\) | 0.0164445 | + | 0.00289961i | 0.00207182 | + | 0.000365317i | ||||
\(64\) | 7.95587 | − | 0.839089i | 0.994484 | − | 0.104886i | ||||
\(65\) | −10.4827 | + | 6.05220i | −1.30022 | + | 0.750683i | ||||
\(66\) | 7.04672 | + | 8.10535i | 0.867392 | + | 0.997699i | ||||
\(67\) | 8.76065 | − | 3.18861i | 1.07028 | − | 0.389551i | 0.254001 | − | 0.967204i | \(-0.418253\pi\) |
0.816283 | + | 0.577653i | \(0.196031\pi\) | |||||||
\(68\) | −5.72731 | − | 1.86016i | −0.694539 | − | 0.225577i | ||||
\(69\) | −7.01139 | − | 4.04803i | −0.844073 | − | 0.487326i | ||||
\(70\) | 0.0681308 | − | 0.0132475i | 0.00814319 | − | 0.00158338i | ||||
\(71\) | −9.25916 | + | 7.76936i | −1.09886 | + | 0.922053i | −0.997348 | − | 0.0727811i | \(-0.976813\pi\) |
−0.101512 | + | 0.994834i | \(0.532368\pi\) | |||||||
\(72\) | −3.46846 | + | 1.47301i | −0.408762 | + | 0.173596i | ||||
\(73\) | 0.801985 | + | 4.54828i | 0.0938653 | + | 0.532336i | 0.995089 | + | 0.0989826i | \(0.0315588\pi\) |
−0.901224 | + | 0.433354i | \(0.857330\pi\) | |||||||
\(74\) | 0.0711601 | + | 4.06280i | 0.00827219 | + | 0.472291i | ||||
\(75\) | −21.5077 | −2.48349 | ||||||||
\(76\) | −8.04449 | − | 3.35948i | −0.922767 | − | 0.385359i | ||||
\(77\) | 0.0457310 | 0.00521154 | ||||||||
\(78\) | −0.159348 | − | 9.09776i | −0.0180426 | − | 1.03012i | ||||
\(79\) | 0.148866 | + | 0.844262i | 0.0167487 | + | 0.0949868i | 0.992036 | − | 0.125953i | \(-0.0401988\pi\) |
−0.975288 | + | 0.220940i | \(0.929088\pi\) | |||||||
\(80\) | −11.2644 | + | 10.8832i | −1.25940 | + | 1.21678i | ||||
\(81\) | −8.59645 | + | 7.21328i | −0.955162 | + | 0.801476i | ||||
\(82\) | 11.1139 | − | 2.16101i | 1.22732 | − | 0.238643i | ||||
\(83\) | −4.31582 | − | 2.49174i | −0.473723 | − | 0.273504i | 0.244074 | − | 0.969757i | \(-0.421516\pi\) |
−0.717797 | + | 0.696253i | \(0.754849\pi\) | |||||||
\(84\) | −0.0161169 | + | 0.0496230i | −0.00175850 | + | 0.00541431i | ||||
\(85\) | 11.0790 | − | 4.03242i | 1.20168 | − | 0.437377i | ||||
\(86\) | 7.38753 | + | 8.49735i | 0.796618 | + | 0.916293i | ||||
\(87\) | −0.665868 | + | 0.384439i | −0.0713885 | + | 0.0412162i | ||||
\(88\) | −8.65418 | + | 5.62231i | −0.922539 | + | 0.599340i | ||||
\(89\) | 4.86849 | + | 0.858447i | 0.516059 | + | 0.0909952i | 0.425611 | − | 0.904906i | \(-0.360059\pi\) |
0.0904478 | + | 0.995901i | \(0.471170\pi\) | |||||||
\(90\) | 3.57647 | − | 6.45304i | 0.376993 | − | 0.680210i | ||||
\(91\) | −0.0296792 | − | 0.0249038i | −0.00311122 | − | 0.00261063i | ||||
\(92\) | 4.78873 | − | 6.13081i | 0.499259 | − | 0.639181i | ||||
\(93\) | 5.06396 | + | 1.84313i | 0.525108 | + | 0.191124i | ||||
\(94\) | 3.98063 | + | 10.3680i | 0.410571 | + | 1.06938i | ||||
\(95\) | 16.4613 | − | 4.51167i | 1.68890 | − | 0.462888i | ||||
\(96\) | −3.05081 | − | 11.3722i | −0.311372 | − | 1.16067i | ||||
\(97\) | −1.35020 | + | 3.70964i | −0.137092 | + | 0.376657i | −0.989173 | − | 0.146752i | \(-0.953118\pi\) |
0.852081 | + | 0.523410i | \(0.175340\pi\) | |||||||
\(98\) | −5.09901 | − | 8.48503i | −0.515078 | − | 0.857117i | ||||
\(99\) | 3.12469 | − | 3.72386i | 0.314043 | − | 0.374262i | ||||
\(100\) | 2.87375 | − | 20.4656i | 0.287375 | − | 2.04656i | ||||
\(101\) | −1.11341 | + | 6.31446i | −0.110788 | + | 0.628312i | 0.877961 | + | 0.478732i | \(0.158903\pi\) |
−0.988750 | + | 0.149580i | \(0.952208\pi\) | |||||||
\(102\) | −1.38592 | + | 8.75378i | −0.137227 | + | 0.866753i | ||||
\(103\) | 1.81621 | + | 3.14577i | 0.178956 | + | 0.309962i | 0.941523 | − | 0.336948i | \(-0.109395\pi\) |
−0.762567 | + | 0.646909i | \(0.776061\pi\) | |||||||
\(104\) | 8.67826 | + | 1.06397i | 0.850973 | + | 0.104331i | ||||
\(105\) | −0.0349380 | − | 0.0959913i | −0.00340960 | − | 0.00936779i | ||||
\(106\) | −1.37600 | + | 1.69942i | −0.133649 | + | 0.165063i | ||||
\(107\) | 2.16098 | − | 3.74292i | 0.208909 | − | 0.361842i | −0.742462 | − | 0.669888i | \(-0.766342\pi\) |
0.951371 | + | 0.308047i | \(0.0996753\pi\) | |||||||
\(108\) | −3.67961 | − | 5.88704i | −0.354071 | − | 0.566481i | ||||
\(109\) | −10.4560 | − | 12.4609i | −1.00150 | − | 1.19354i | −0.981051 | − | 0.193748i | \(-0.937935\pi\) |
−0.0204473 | − | 0.999791i | \(-0.506509\pi\) | |||||||
\(110\) | 6.57716 | − | 19.1052i | 0.627107 | − | 1.82161i | ||||
\(111\) | 5.88962 | − | 1.03850i | 0.559018 | − | 0.0985700i | ||||
\(112\) | −0.0450652 | − | 0.0219664i | −0.00425826 | − | 0.00207563i | ||||
\(113\) | − | 5.68498i | − | 0.534798i | −0.963586 | − | 0.267399i | \(-0.913836\pi\) | ||
0.963586 | − | 0.267399i | \(-0.0861642\pi\) | |||||||
\(114\) | −3.03216 | + | 12.4673i | −0.283988 | + | 1.16767i | ||||
\(115\) | 15.2311i | 1.42031i | ||||||||
\(116\) | −0.276842 | − | 0.684973i | −0.0257042 | − | 0.0635981i | ||||
\(117\) | −4.05581 | + | 0.715149i | −0.374960 | + | 0.0661156i | ||||
\(118\) | −5.60097 | − | 1.92819i | −0.515611 | − | 0.177505i | ||||
\(119\) | 0.0242569 | + | 0.0289083i | 0.00222363 | + | 0.00265002i | ||||
\(120\) | 18.4131 | + | 13.8701i | 1.68088 | + | 1.26616i | ||||
\(121\) | 1.15658 | − | 2.00325i | 0.105143 | − | 0.182114i | ||||
\(122\) | −3.51985 | − | 2.84997i | −0.318672 | − | 0.258024i | ||||
\(123\) | −5.69926 | − | 15.6586i | −0.513885 | − | 1.41189i | ||||
\(124\) | −2.43045 | + | 4.57234i | −0.218261 | + | 0.410608i | ||||
\(125\) | 10.4418 | + | 18.0857i | 0.933940 | + | 1.61763i | ||||
\(126\) | 0.0233243 | + | 0.00369278i | 0.00207790 | + | 0.000328979i | ||||
\(127\) | −1.92363 | + | 10.9095i | −0.170695 | + | 0.968058i | 0.772302 | + | 0.635256i | \(0.219105\pi\) |
−0.942997 | + | 0.332802i | \(0.892006\pi\) | |||||||
\(128\) | 11.2288 | − | 1.38351i | 0.992495 | − | 0.122286i | ||||
\(129\) | 10.6522 | − | 12.6947i | 0.937870 | − | 1.11771i | ||||
\(130\) | −14.6726 | + | 8.81741i | −1.28688 | + | 0.773338i | ||||
\(131\) | 4.88661 | − | 13.4259i | 0.426945 | − | 1.17302i | −0.520712 | − | 0.853733i | \(-0.674333\pi\) |
0.947657 | − | 0.319290i | \(-0.103444\pi\) | |||||||
\(132\) | 10.1648 | + | 11.2864i | 0.884731 | + | 0.982356i | ||||
\(133\) | 0.0315906 | + | 0.0445723i | 0.00273925 | + | 0.00386491i | ||||
\(134\) | 12.3086 | − | 4.72566i | 1.06330 | − | 0.408235i | ||||
\(135\) | 12.7727 | + | 4.64887i | 1.09929 | + | 0.400111i | ||||
\(136\) | −8.14447 | − | 2.48841i | −0.698383 | − | 0.213380i | ||||
\(137\) | 1.69104 | + | 1.41895i | 0.144475 | + | 0.121229i | 0.712161 | − | 0.702016i | \(-0.247717\pi\) |
−0.567686 | + | 0.823245i | \(0.692161\pi\) | |||||||
\(138\) | −10.0143 | − | 5.55026i | −0.852477 | − | 0.472469i | ||||
\(139\) | 4.58434 | + | 0.808342i | 0.388838 | + | 0.0685627i | 0.364650 | − | 0.931145i | \(-0.381189\pi\) |
0.0241886 | + | 0.999707i | \(0.492300\pi\) | |||||||
\(140\) | 0.0960086 | − | 0.0204193i | 0.00811421 | − | 0.00172575i | ||||
\(141\) | 14.1556 | − | 8.17276i | 1.19212 | − | 0.688271i | ||||
\(142\) | −12.9000 | + | 11.2152i | −1.08254 | + | 0.941155i | ||||
\(143\) | −10.5987 | + | 3.85762i | −0.886310 | + | 0.322590i | ||||
\(144\) | −4.86792 | + | 2.16873i | −0.405660 | + | 0.180728i | ||||
\(145\) | 1.25270 | + | 0.723244i | 0.104031 | + | 0.0600621i | ||||
\(146\) | 1.24665 | + | 6.41140i | 0.103173 | + | 0.530611i | ||||
\(147\) | −11.1609 | + | 9.36515i | −0.920540 | + | 0.772424i | ||||
\(148\) | 0.201240 | + | 5.74302i | 0.0165418 | + | 0.472074i | ||||
\(149\) | −3.23910 | − | 18.3698i | −0.265357 | − | 1.50491i | −0.768016 | − | 0.640430i | \(-0.778756\pi\) |
0.502659 | − | 0.864485i | \(-0.332355\pi\) | |||||||
\(150\) | −30.4118 | + | 0.532663i | −2.48311 | + | 0.0434918i | ||||
\(151\) | −11.9197 | −0.970010 | −0.485005 | − | 0.874511i | \(-0.661182\pi\) | ||||
−0.485005 | + | 0.874511i | \(0.661182\pi\) | |||||||
\(152\) | −11.4581 | − | 4.55107i | −0.929374 | − | 0.369140i | ||||
\(153\) | 4.01141 | 0.324303 | ||||||||
\(154\) | 0.0646636 | − | 0.00113258i | 0.00521074 | − | 9.12662e-5i | ||||
\(155\) | −1.76048 | − | 9.98420i | −0.141405 | − | 0.801950i | ||||
\(156\) | −0.450634 | − | 12.8603i | −0.0360796 | − | 1.02964i | ||||
\(157\) | 9.27872 | − | 7.78577i | 0.740522 | − | 0.621372i | −0.192456 | − | 0.981306i | \(-0.561645\pi\) |
0.932978 | + | 0.359934i | \(0.117201\pi\) | |||||||
\(158\) | 0.231405 | + | 1.19010i | 0.0184096 | + | 0.0946790i | ||||
\(159\) | 2.78710 | + | 1.60913i | 0.221031 | + | 0.127612i | ||||
\(160\) | −15.6584 | + | 15.6677i | −1.23790 | + | 1.23864i | ||||
\(161\) | −0.0458112 | + | 0.0166739i | −0.00361043 | + | 0.00131409i | ||||
\(162\) | −11.9767 | + | 10.4125i | −0.940979 | + | 0.818080i | ||||
\(163\) | −3.89964 | + | 2.25146i | −0.305443 | + | 0.176348i | −0.644886 | − | 0.764279i | \(-0.723095\pi\) |
0.339442 | + | 0.940627i | \(0.389762\pi\) | |||||||
\(164\) | 15.6614 | − | 3.33090i | 1.22295 | − | 0.260100i | ||||
\(165\) | −29.2865 | − | 5.16400i | −2.27995 | − | 0.402017i | ||||
\(166\) | −6.16427 | − | 3.41643i | −0.478440 | − | 0.265166i | ||||
\(167\) | −0.466911 | − | 0.391785i | −0.0361306 | − | 0.0303172i | 0.624544 | − | 0.780990i | \(-0.285285\pi\) |
−0.660674 | + | 0.750673i | \(0.729729\pi\) | |||||||
\(168\) | −0.0215603 | + | 0.0705659i | −0.00166341 | + | 0.00544427i | ||||
\(169\) | −3.23675 | − | 1.17808i | −0.248981 | − | 0.0906217i | ||||
\(170\) | 15.5658 | − | 5.97621i | 1.19384 | − | 0.458355i | ||||
\(171\) | 5.78802 | + | 0.473108i | 0.442621 | + | 0.0361795i | ||||
\(172\) | 10.6564 | + | 11.8323i | 0.812542 | + | 0.902202i | ||||
\(173\) | −0.699568 | + | 1.92205i | −0.0531871 | + | 0.146130i | −0.963441 | − | 0.267919i | \(-0.913664\pi\) |
0.910254 | + | 0.414050i | \(0.135886\pi\) | |||||||
\(174\) | −0.932013 | + | 0.560086i | −0.0706558 | + | 0.0424600i | ||||
\(175\) | −0.0832478 | + | 0.0992109i | −0.00629294 | + | 0.00749964i | ||||
\(176\) | −12.0977 | + | 8.16425i | −0.911902 | + | 0.615404i | ||||
\(177\) | −1.51390 | + | 8.58578i | −0.113792 | + | 0.645346i | ||||
\(178\) | 6.90529 | + | 1.09327i | 0.517574 | + | 0.0819438i | ||||
\(179\) | 11.2319 | + | 19.4542i | 0.839510 | + | 1.45407i | 0.890305 | + | 0.455365i | \(0.150491\pi\) |
−0.0507946 | + | 0.998709i | \(0.516175\pi\) | |||||||
\(180\) | 4.89730 | − | 9.21315i | 0.365023 | − | 0.686708i | ||||
\(181\) | 8.67231 | + | 23.8270i | 0.644607 | + | 1.77104i | 0.636744 | + | 0.771075i | \(0.280281\pi\) |
0.00786332 | + | 0.999969i | \(0.497497\pi\) | |||||||
\(182\) | −0.0425830 | − | 0.0344788i | −0.00315646 | − | 0.00255574i | ||||
\(183\) | −3.33284 | + | 5.77264i | −0.246370 | + | 0.426726i | ||||
\(184\) | 6.61941 | − | 8.78754i | 0.487989 | − | 0.647826i | ||||
\(185\) | −7.23204 | − | 8.61881i | −0.531710 | − | 0.633668i | ||||
\(186\) | 7.20607 | + | 2.48076i | 0.528375 | + | 0.181899i | ||||
\(187\) | 10.8191 | − | 1.90769i | 0.791168 | − | 0.139504i | ||||
\(188\) | 5.88537 | + | 14.5618i | 0.429235 | + | 1.06203i | ||||
\(189\) | 0.0435060i | 0.00316460i | ||||||||
\(190\) | 23.1645 | − | 6.78718i | 1.68053 | − | 0.492394i | ||||
\(191\) | − | 18.2562i | − | 1.32097i | −0.750839 | − | 0.660485i | \(-0.770351\pi\) | ||
0.750839 | − | 0.660485i | \(-0.229649\pi\) | |||||||
\(192\) | −4.59548 | − | 16.0046i | −0.331651 | − | 1.15503i | ||||
\(193\) | −1.41653 | + | 0.249772i | −0.101964 | + | 0.0179790i | −0.224397 | − | 0.974498i | \(-0.572041\pi\) |
0.122433 | + | 0.992477i | \(0.460930\pi\) | |||||||
\(194\) | −1.81730 | + | 5.27886i | −0.130475 | + | 0.379000i | ||||
\(195\) | 16.1946 | + | 19.3000i | 1.15972 | + | 1.38210i | ||||
\(196\) | −7.42013 | − | 11.8715i | −0.530009 | − | 0.847966i | ||||
\(197\) | 1.84338 | − | 3.19283i | 0.131335 | − | 0.227479i | −0.792856 | − | 0.609409i | \(-0.791407\pi\) |
0.924192 | + | 0.381929i | \(0.124740\pi\) | |||||||
\(198\) | 4.32608 | − | 5.34292i | 0.307441 | − | 0.379705i | ||||
\(199\) | −6.67292 | − | 18.3337i | −0.473031 | − | 1.29964i | −0.915305 | − | 0.402762i | \(-0.868050\pi\) |
0.442274 | − | 0.896880i | \(-0.354172\pi\) | |||||||
\(200\) | 3.55662 | − | 29.0095i | 0.251491 | − | 2.05128i | ||||
\(201\) | −9.70240 | − | 16.8051i | −0.684355 | − | 1.18534i | ||||
\(202\) | −1.41797 | + | 8.95619i | −0.0997681 | + | 0.630156i | ||||
\(203\) | −0.000803969 | 0.00455953i | −5.64276e−5 | 0.000320017i | ||||||
\(204\) | −1.74289 | + | 12.4121i | −0.122027 | + | 0.869024i | ||||
\(205\) | −20.1508 | + | 24.0148i | −1.40739 | + | 1.67726i | ||||
\(206\) | 2.64602 | + | 4.40312i | 0.184357 | + | 0.306780i | ||||
\(207\) | −1.77242 | + | 4.86968i | −0.123192 | + | 0.338466i | ||||
\(208\) | 12.2974 | + | 1.28952i | 0.852670 | + | 0.0894125i | ||||
\(209\) | 15.8357 | − | 1.47658i | 1.09538 | − | 0.102137i | ||||
\(210\) | −0.0517795 | − | 0.134866i | −0.00357312 | − | 0.00930664i | ||||
\(211\) | −5.20674 | − | 1.89510i | −0.358447 | − | 0.130464i | 0.156518 | − | 0.987675i | \(-0.449973\pi\) |
−0.514965 | + | 0.857211i | \(0.672195\pi\) | |||||||
\(212\) | −1.90357 | + | 2.43706i | −0.130737 | + | 0.167378i | ||||
\(213\) | 19.2722 | + | 16.1713i | 1.32051 | + | 1.10804i | ||||
\(214\) | 2.96292 | − | 5.34600i | 0.202541 | − | 0.365445i | ||||
\(215\) | −30.7029 | − | 5.41375i | −2.09392 | − | 0.369214i | ||||
\(216\) | −5.34876 | − | 8.23312i | −0.363937 | − | 0.560193i | ||||
\(217\) | 0.0281026 | − | 0.0162251i | 0.00190773 | − | 0.00110143i | ||||
\(218\) | −15.0933 | − | 17.3607i | −1.02225 | − | 1.17582i | ||||
\(219\) | 9.03318 | − | 3.28781i | 0.610406 | − | 0.222170i | ||||
\(220\) | 8.82691 | − | 27.1775i | 0.595110 | − | 1.83231i | ||||
\(221\) | −8.06038 | − | 4.65366i | −0.542200 | − | 0.313039i | ||||
\(222\) | 8.30219 | − | 1.61430i | 0.557206 | − | 0.108345i | ||||
\(223\) | 1.81627 | − | 1.52403i | 0.121626 | − | 0.102057i | −0.579946 | − | 0.814655i | \(-0.696926\pi\) |
0.701572 | + | 0.712598i | \(0.252482\pi\) | |||||||
\(224\) | −0.0642661 | − | 0.0299443i | −0.00429396 | − | 0.00200074i | ||||
\(225\) | 2.39059 | + | 13.5577i | 0.159372 | + | 0.903846i | ||||
\(226\) | −0.140795 | − | 8.03855i | −0.00936557 | − | 0.534716i | ||||
\(227\) | 24.6646 | 1.63705 | 0.818524 | − | 0.574472i | \(-0.194793\pi\) | ||||
0.818524 | + | 0.574472i | \(0.194793\pi\) | |||||||
\(228\) | −3.97870 | + | 17.7038i | −0.263496 | + | 1.17246i | ||||
\(229\) | −17.5053 | −1.15678 | −0.578392 | − | 0.815759i | \(-0.696320\pi\) | ||||
−0.578392 | + | 0.815759i | \(0.696320\pi\) | |||||||
\(230\) | 0.377216 | + | 21.5367i | 0.0248729 | + | 1.42009i | ||||
\(231\) | −0.0165288 | − | 0.0937392i | −0.00108751 | − | 0.00616759i | ||||
\(232\) | −0.408418 | − | 0.961693i | −0.0268140 | − | 0.0631382i | ||||
\(233\) | 0.796913 | − | 0.668689i | 0.0522075 | − | 0.0438073i | −0.616311 | − | 0.787503i | \(-0.711373\pi\) |
0.668518 | + | 0.743696i | \(0.266929\pi\) | |||||||
\(234\) | −5.71720 | + | 1.11167i | −0.373745 | + | 0.0726719i | ||||
\(235\) | −26.6310 | − | 15.3754i | −1.73721 | − | 1.00298i | ||||
\(236\) | −7.96751 | − | 2.58774i | −0.518641 | − | 0.168448i | ||||
\(237\) | 1.67676 | − | 0.610290i | 0.108917 | − | 0.0396426i | ||||
\(238\) | 0.0350152 | + | 0.0402755i | 0.00226970 | + | 0.00261067i | ||||
\(239\) | −5.03710 | + | 2.90817i | −0.325823 | + | 0.188114i | −0.653985 | − | 0.756508i | \(-0.726904\pi\) |
0.328162 | + | 0.944621i | \(0.393571\pi\) | |||||||
\(240\) | 26.3796 | + | 19.1563i | 1.70280 | + | 1.23653i | ||||
\(241\) | 10.6156 | + | 1.87182i | 0.683813 | + | 0.120575i | 0.504753 | − | 0.863264i | \(-0.331583\pi\) |
0.179060 | + | 0.983838i | \(0.442695\pi\) | |||||||
\(242\) | 1.58578 | − | 2.86123i | 0.101938 | − | 0.183927i | ||||
\(243\) | 9.91553 | + | 8.32012i | 0.636081 | + | 0.533736i | ||||
\(244\) | −5.04764 | − | 3.94267i | −0.323142 | − | 0.252404i | ||||
\(245\) | 25.7567 | + | 9.37468i | 1.64554 | + | 0.598926i | ||||
\(246\) | −8.44654 | − | 22.0000i | −0.538532 | − | 1.40267i | ||||
\(247\) | −11.0814 | − | 7.66537i | −0.705091 | − | 0.487736i | ||||
\(248\) | −3.32341 | + | 6.52546i | −0.211037 | + | 0.414367i | ||||
\(249\) | −3.54767 | + | 9.74714i | −0.224824 | + | 0.617700i | ||||
\(250\) | 15.2125 | + | 25.3145i | 0.962125 | + | 1.60103i | ||||
\(251\) | 14.8164 | − | 17.6575i | 0.935205 | − | 1.11453i | −0.0580182 | − | 0.998316i | \(-0.518478\pi\) |
0.993224 | − | 0.116219i | \(-0.0370774\pi\) | |||||||
\(252\) | 0.0330720 | + | 0.00464392i | 0.00208334 | + | 0.000292539i | ||||
\(253\) | −2.46448 | + | 13.9768i | −0.154941 | + | 0.878712i | ||||
\(254\) | −2.44982 | + | 15.4736i | −0.153716 | + | 0.970899i | ||||
\(255\) | −12.2700 | − | 21.2522i | −0.768374 | − | 1.33086i | ||||
\(256\) | 15.8432 | − | 2.23437i | 0.990201 | − | 0.139648i | ||||
\(257\) | −10.2488 | − | 28.1585i | −0.639305 | − | 1.75648i | −0.653898 | − | 0.756583i | \(-0.726867\pi\) |
0.0145929 | − | 0.999894i | \(-0.495355\pi\) | |||||||
\(258\) | 14.7477 | − | 18.2141i | 0.918153 | − | 1.13396i | ||||
\(259\) | 0.0180060 | − | 0.0311873i | 0.00111884 | − | 0.00193789i | ||||
\(260\) | −20.5287 | + | 12.8312i | −1.27314 | + | 0.795756i | ||||
\(261\) | 0.316348 | + | 0.377009i | 0.0195815 | + | 0.0233363i | ||||
\(262\) | 6.57715 | − | 19.1051i | 0.406338 | − | 1.18032i | ||||
\(263\) | −28.4822 | + | 5.02219i | −1.75629 | + | 0.309681i | −0.956746 | − | 0.290925i | \(-0.906037\pi\) |
−0.799545 | + | 0.600607i | \(0.794926\pi\) | |||||||
\(264\) | 14.6525 | + | 15.7072i | 0.901798 | + | 0.966712i | ||||
\(265\) | − | 6.05451i | − | 0.371926i | ||||||
\(266\) | 0.0457729 | + | 0.0622428i | 0.00280652 | + | 0.00381635i | ||||
\(267\) | − | 10.2897i | − | 0.629718i | ||||||
\(268\) | 17.2872 | − | 6.98690i | 1.05599 | − | 0.426793i | ||||
\(269\) | −22.2457 | + | 3.92252i | −1.35634 | + | 0.239160i | −0.804086 | − | 0.594513i | \(-0.797345\pi\) |
−0.552258 | + | 0.833673i | \(0.686234\pi\) | |||||||
\(270\) | 18.1756 | + | 6.25715i | 1.10613 | + | 0.380798i | ||||
\(271\) | 11.2567 | + | 13.4152i | 0.683794 | + | 0.814914i | 0.990590 | − | 0.136861i | \(-0.0437014\pi\) |
−0.306796 | + | 0.951775i | \(0.599257\pi\) | |||||||
\(272\) | −11.5779 | − | 3.31690i | −0.702012 | − | 0.201117i | ||||
\(273\) | −0.0403206 | + | 0.0698373i | −0.00244031 | + | 0.00422674i | ||||
\(274\) | 2.42626 | + | 1.96451i | 0.146576 | + | 0.118680i | ||||
\(275\) | 12.8952 | + | 35.4292i | 0.777608 | + | 2.13646i | ||||
\(276\) | −14.2977 | − | 7.60003i | −0.860621 | − | 0.457468i | ||||
\(277\) | 0.755353 | + | 1.30831i | 0.0453848 | + | 0.0786087i | 0.887825 | − | 0.460180i | \(-0.152215\pi\) |
−0.842441 | + | 0.538789i | \(0.818882\pi\) | |||||||
\(278\) | 6.50226 | + | 1.02946i | 0.389979 | + | 0.0617427i | ||||
\(279\) | 0.598984 | − | 3.39701i | 0.0358602 | − | 0.203373i | ||||
\(280\) | 0.135250 | − | 0.0312506i | 0.00808275 | − | 0.00186758i | ||||
\(281\) | −10.9264 | + | 13.0216i | −0.651817 | + | 0.776805i | −0.986187 | − | 0.165637i | \(-0.947032\pi\) |
0.334370 | + | 0.942442i | \(0.391477\pi\) | |||||||
\(282\) | 19.8136 | − | 11.9068i | 1.17988 | − | 0.709042i | ||||
\(283\) | −9.95447 | + | 27.3497i | −0.591732 | + | 1.62577i | 0.175558 | + | 0.984469i | \(0.443827\pi\) |
−0.767290 | + | 0.641301i | \(0.778395\pi\) | |||||||
\(284\) | −17.9628 | + | 16.1777i | −1.06590 | + | 0.959969i | ||||
\(285\) | −15.1977 | − | 32.1117i | −0.900234 | − | 1.90213i | ||||
\(286\) | −14.8910 | + | 5.71715i | −0.880524 | + | 0.338062i | ||||
\(287\) | −0.0942898 | − | 0.0343187i | −0.00556575 | − | 0.00202577i | ||||
\(288\) | −6.82951 | + | 3.18714i | −0.402433 | + | 0.187804i | ||||
\(289\) | −6.07812 | − | 5.10015i | −0.357537 | − | 0.300009i | ||||
\(290\) | 1.78922 | + | 0.991640i | 0.105067 | + | 0.0582311i | ||||
\(291\) | 8.09202 | + | 1.42684i | 0.474362 | + | 0.0836429i | ||||
\(292\) | 1.92154 | + | 9.03482i | 0.112450 | + | 0.528723i | ||||
\(293\) | 16.0206 | − | 9.24953i | 0.935936 | − | 0.540363i | 0.0472521 | − | 0.998883i | \(-0.484954\pi\) |
0.888684 | + | 0.458520i | \(0.151620\pi\) | |||||||
\(294\) | −15.5496 | + | 13.5187i | −0.906871 | + | 0.788427i | ||||
\(295\) | 15.4124 | − | 5.60967i | 0.897347 | − | 0.326608i | ||||
\(296\) | 0.426786 | + | 8.11563i | 0.0248064 | + | 0.471712i | ||||
\(297\) | 10.9686 | + | 6.33271i | 0.636461 | + | 0.367461i | ||||
\(298\) | −5.03502 | − | 25.8947i | −0.291671 | − | 1.50004i | ||||
\(299\) | 9.21077 | − | 7.72876i | 0.532673 | − | 0.446965i | ||||
\(300\) | −42.9890 | + | 1.50637i | −2.48197 | + | 0.0869702i | ||||
\(301\) | −0.0173281 | − | 0.0982728i | −0.000998778 | − | 0.00566435i | ||||
\(302\) | −16.8544 | + | 0.295205i | −0.969861 | + | 0.0169871i | ||||
\(303\) | 13.3458 | 0.766694 | ||||||||
\(304\) | −16.3144 | − | 6.15142i | −0.935696 | − | 0.352808i | ||||
\(305\) | 12.5401 | 0.718045 | ||||||||
\(306\) | 5.67212 | − | 0.0993474i | 0.324254 | − | 0.00567931i | ||||
\(307\) | −2.03721 | − | 11.5536i | −0.116270 | − | 0.659397i | −0.986114 | − | 0.166071i | \(-0.946892\pi\) |
0.869844 | − | 0.493326i | \(-0.164219\pi\) | |||||||
\(308\) | 0.0914060 | − | 0.00320294i | 0.00520834 | − | 0.000182504i | ||||
\(309\) | 5.79174 | − | 4.85984i | 0.329480 | − | 0.276467i | ||||
\(310\) | −2.73659 | − | 14.0740i | −0.155428 | − | 0.799351i | ||||
\(311\) | 15.1860 | + | 8.76764i | 0.861119 | + | 0.497167i | 0.864387 | − | 0.502827i | \(-0.167707\pi\) |
−0.00326795 | + | 0.999995i | \(0.501040\pi\) | |||||||
\(312\) | −0.955694 | − | 18.1732i | −0.0541055 | − | 1.02885i | ||||
\(313\) | −17.7593 | + | 6.46387i | −1.00382 | + | 0.365359i | −0.791055 | − | 0.611745i | \(-0.790468\pi\) |
−0.212761 | + | 0.977104i | \(0.568246\pi\) | |||||||
\(314\) | 12.9272 | − | 11.2388i | 0.729527 | − | 0.634245i | ||||
\(315\) | −0.0566261 | + | 0.0326931i | −0.00319052 | + | 0.00184205i | ||||
\(316\) | 0.356680 | + | 1.67706i | 0.0200648 | + | 0.0943421i | ||||
\(317\) | 18.2177 | + | 3.21228i | 1.02321 | + | 0.180420i | 0.659983 | − | 0.751281i | \(-0.270564\pi\) |
0.363228 | + | 0.931700i | \(0.381675\pi\) | |||||||
\(318\) | 3.98080 | + | 2.20628i | 0.223232 | + | 0.123722i | ||||
\(319\) | 1.03251 | + | 0.866376i | 0.0578093 | + | 0.0485077i | ||||
\(320\) | −21.7528 | + | 22.5419i | −1.21602 | + | 1.26013i | ||||
\(321\) | −8.45327 | − | 3.07674i | −0.471815 | − | 0.171727i | ||||
\(322\) | −0.0643639 | + | 0.0247114i | −0.00358686 | + | 0.00137711i | ||||
\(323\) | 9.33307 | + | 9.22712i | 0.519306 | + | 0.513411i | ||||
\(324\) | −16.6772 | + | 15.0198i | −0.926509 | + | 0.834433i | ||||
\(325\) | 10.9248 | − | 30.0156i | 0.605999 | − | 1.66497i | ||||
\(326\) | −5.45832 | + | 3.28013i | −0.302308 | + | 0.181670i | ||||
\(327\) | −21.7632 | + | 25.9364i | −1.20351 | + | 1.43428i | ||||
\(328\) | 22.0627 | − | 5.09776i | 1.21821 | − | 0.281477i | ||||
\(329\) | 0.0170915 | − | 0.0969308i | 0.000942286 | − | 0.00534397i | ||||
\(330\) | −41.5389 | − | 6.57656i | −2.28664 | − | 0.362028i | ||||
\(331\) | 2.81137 | + | 4.86944i | 0.154527 | + | 0.267649i | 0.932887 | − | 0.360170i | \(-0.117281\pi\) |
−0.778360 | + | 0.627819i | \(0.783948\pi\) | |||||||
\(332\) | −8.80086 | − | 4.67815i | −0.483010 | − | 0.256747i | ||||
\(333\) | −1.30927 | − | 3.59718i | −0.0717474 | − | 0.197124i | ||||
\(334\) | −0.669913 | − | 0.542419i | −0.0366560 | − | 0.0296798i | ||||
\(335\) | −18.2531 | + | 31.6153i | −0.997274 | + | 1.72733i | ||||
\(336\) | −0.0287385 | + | 0.100314i | −0.00156781 | + | 0.00547257i | ||||
\(337\) | 11.9419 | + | 14.2318i | 0.650515 | + | 0.775254i | 0.985992 | − | 0.166795i | \(-0.0533417\pi\) |
−0.335476 | + | 0.942049i | \(0.608897\pi\) | |||||||
\(338\) | −4.60593 | − | 1.58564i | −0.250530 | − | 0.0862475i | ||||
\(339\) | −11.6530 | + | 2.05475i | −0.632907 | + | 0.111599i | ||||
\(340\) | 21.8619 | − | 8.83585i | 1.18563 | − | 0.479191i | ||||
\(341\) | − | 9.44683i | − | 0.511574i | ||||||
\(342\) | 8.19596 | + | 0.525626i | 0.443187 | + | 0.0284226i | ||||
\(343\) | 0.175466i | 0.00947429i | ||||||||
\(344\) | 15.3611 | + | 16.4669i | 0.828217 | + | 0.887834i | ||||
\(345\) | 31.2206 | − | 5.50504i | 1.68086 | − | 0.296381i | ||||
\(346\) | −0.941585 | + | 2.73509i | −0.0506199 | + | 0.147039i | ||||
\(347\) | −13.5612 | − | 16.1617i | −0.728005 | − | 0.867603i | 0.267377 | − | 0.963592i | \(-0.413843\pi\) |
−0.995382 | + | 0.0959889i | \(0.969399\pi\) | |||||||
\(348\) | −1.30399 | + | 0.815042i | −0.0699013 | + | 0.0436909i | ||||
\(349\) | −7.02205 | + | 12.1625i | −0.375882 | + | 0.651046i | −0.990459 | − | 0.137811i | \(-0.955993\pi\) |
0.614577 | + | 0.788857i | \(0.289327\pi\) | |||||||
\(350\) | −0.115255 | + | 0.142346i | −0.00616064 | + | 0.00760869i | ||||
\(351\) | −3.66993 | − | 10.0830i | −0.195886 | − | 0.538193i | ||||
\(352\) | −16.9040 | + | 11.8438i | −0.900985 | + | 0.631279i | ||||
\(353\) | −5.54692 | − | 9.60756i | −0.295233 | − | 0.511359i | 0.679806 | − | 0.733392i | \(-0.262064\pi\) |
−0.975039 | + | 0.222033i | \(0.928731\pi\) | |||||||
\(354\) | −1.92802 | + | 12.1778i | −0.102473 | + | 0.647240i | ||||
\(355\) | 8.21872 | − | 46.6107i | 0.436204 | − | 2.47384i | ||||
\(356\) | 9.79114 | + | 1.37486i | 0.518929 | + | 0.0728673i | ||||
\(357\) | 0.0504888 | − | 0.0601702i | 0.00267215 | − | 0.00318454i | ||||
\(358\) | 16.3636 | + | 27.2300i | 0.864846 | + | 1.43915i | ||||
\(359\) | 2.47546 | − | 6.80128i | 0.130650 | − | 0.358958i | −0.857068 | − | 0.515203i | \(-0.827717\pi\) |
0.987718 | + | 0.156245i | \(0.0499389\pi\) | |||||||
\(360\) | 6.69660 | − | 13.1487i | 0.352942 | − | 0.692995i | ||||
\(361\) | 12.3783 | + | 14.4145i | 0.651492 | + | 0.758656i | ||||
\(362\) | 12.8527 | + | 33.4765i | 0.675524 | + | 1.75948i | ||||
\(363\) | −4.52428 | − | 1.64670i | −0.237463 | − | 0.0864295i | ||||
\(364\) | −0.0610662 | − | 0.0476983i | −0.00320074 | − | 0.00250007i | ||||
\(365\) | −13.8537 | − | 11.6247i | −0.725137 | − | 0.608462i | ||||
\(366\) | −4.56965 | + | 8.24504i | −0.238860 | + | 0.430975i | ||||
\(367\) | 11.9786 | + | 2.11215i | 0.625276 | + | 0.110253i | 0.477304 | − | 0.878738i | \(-0.341614\pi\) |
0.147973 | + | 0.988991i | \(0.452725\pi\) | |||||||
\(368\) | 9.14219 | − | 12.5895i | 0.476570 | − | 0.656273i | ||||
\(369\) | −9.23715 | + | 5.33307i | −0.480867 | + | 0.277629i | ||||
\(370\) | −10.4395 | − | 12.0079i | −0.542726 | − | 0.624259i | ||||
\(371\) | 0.0182104 | − | 0.00662804i | 0.000945436 | − | 0.000344111i | ||||
\(372\) | 10.2508 | + | 3.32933i | 0.531479 | + | 0.172618i | ||||
\(373\) | 11.3195 | + | 6.53529i | 0.586100 | + | 0.338385i | 0.763554 | − | 0.645744i | \(-0.223453\pi\) |
−0.177454 | + | 0.984129i | \(0.556786\pi\) | |||||||
\(374\) | 15.2509 | − | 2.96542i | 0.788604 | − | 0.153338i | ||||
\(375\) | 33.2979 | − | 27.9403i | 1.71950 | − | 1.44283i | ||||
\(376\) | 8.68254 | + | 20.4446i | 0.447768 | + | 1.05435i | ||||
\(377\) | −0.198288 | − | 1.12455i | −0.0102123 | − | 0.0579170i | ||||
\(378\) | 0.00107748 | + | 0.0615174i | 5.54195e−5 | + | 0.00316411i | ||||
\(379\) | 1.20676 | 0.0619869 | 0.0309935 | − | 0.999520i | \(-0.490133\pi\) | ||||
0.0309935 | + | 0.999520i | \(0.490133\pi\) | |||||||
\(380\) | 32.5865 | − | 10.1707i | 1.67165 | − | 0.521748i | ||||
\(381\) | 23.0574 | 1.18127 | ||||||||
\(382\) | −0.452136 | − | 25.8142i | −0.0231333 | − | 1.32077i | ||||
\(383\) | 0.143101 | + | 0.811565i | 0.00731211 | + | 0.0414690i | 0.988246 | − | 0.152875i | \(-0.0488532\pi\) |
−0.980933 | + | 0.194344i | \(0.937742\pi\) | |||||||
\(384\) | −6.89437 | − | 22.5167i | −0.351827 | − | 1.14905i | ||||
\(385\) | −0.137177 | + | 0.115105i | −0.00699119 | + | 0.00586631i | ||||
\(386\) | −1.99678 | + | 0.388259i | −0.101633 | + | 0.0197619i | ||||
\(387\) | −9.18631 | − | 5.30372i | −0.466967 | − | 0.269603i | ||||
\(388\) | −2.43893 | + | 7.50931i | −0.123818 | + | 0.381227i | ||||
\(389\) | −23.4630 | + | 8.53983i | −1.18962 | + | 0.432986i | −0.859590 | − | 0.510984i | \(-0.829281\pi\) |
−0.330030 | + | 0.943970i | \(0.607059\pi\) | |||||||
\(390\) | 23.3771 | + | 26.8890i | 1.18374 | + | 1.36158i | ||||
\(391\) | −10.1425 | + | 5.85575i | −0.512926 | + | 0.296138i | ||||
\(392\) | −10.7860 | − | 16.6025i | −0.544778 | − | 0.838554i | ||||
\(393\) | −29.2864 | − | 5.16399i | −1.47731 | − | 0.260489i | ||||
\(394\) | 2.52746 | − | 4.56030i | 0.127331 | − | 0.229744i | ||||
\(395\) | −2.57156 | − | 2.15779i | −0.129389 | − | 0.108570i | ||||
\(396\) | 5.98474 | − | 7.66201i | 0.300744 | − | 0.385030i | ||||
\(397\) | 8.73147 | + | 3.17800i | 0.438220 | + | 0.159499i | 0.551703 | − | 0.834041i | \(-0.313978\pi\) |
−0.113482 | + | 0.993540i | \(0.536201\pi\) | |||||||
\(398\) | −9.88955 | − | 25.7585i | −0.495718 | − | 1.29116i | ||||
\(399\) | 0.0799462 | − | 0.0808642i | 0.00400232 | − | 0.00404827i | ||||
\(400\) | 4.31060 | − | 41.1074i | 0.215530 | − | 2.05537i | ||||
\(401\) | −0.732427 | + | 2.01233i | −0.0365756 | + | 0.100491i | −0.956636 | − | 0.291285i | \(-0.905917\pi\) |
0.920061 | + | 0.391776i | \(0.128139\pi\) | |||||||
\(402\) | −14.1354 | − | 23.5220i | −0.705008 | − | 1.17317i | ||||
\(403\) | −5.14446 | + | 6.13093i | −0.256264 | + | 0.305404i | ||||
\(404\) | −1.78320 | + | 12.6991i | −0.0887173 | + | 0.631806i | ||||
\(405\) | 7.63048 | − | 43.2746i | 0.379162 | − | 2.15033i | ||||
\(406\) | −0.00102389 | + | 0.00646708i | −5.08147e−5 | + | 0.000320956i | ||||
\(407\) | −5.24189 | − | 9.07922i | −0.259831 | − | 0.450040i | ||||
\(408\) | −2.15705 | + | 17.5939i | −0.106790 | + | 0.871027i | ||||
\(409\) | 8.45981 | + | 23.2431i | 0.418311 | + | 1.14930i | 0.952661 | + | 0.304036i | \(0.0983343\pi\) |
−0.534350 | + | 0.845264i | \(0.679443\pi\) | |||||||
\(410\) | −27.8984 | + | 34.4559i | −1.37780 | + | 1.70165i | ||||
\(411\) | 2.29736 | − | 3.97914i | 0.113320 | − | 0.196276i | ||||
\(412\) | 3.85052 | + | 6.16047i | 0.189701 | + | 0.303505i | ||||
\(413\) | 0.0337448 | + | 0.0402155i | 0.00166047 | + | 0.00197888i | ||||
\(414\) | −2.38559 | + | 6.92960i | −0.117245 | + | 0.340571i | ||||
\(415\) | 19.2177 | − | 3.38859i | 0.943358 | − | 0.166339i | ||||
\(416\) | 17.4204 | + | 1.51882i | 0.854105 | + | 0.0744665i | ||||
\(417\) | − | 9.68911i | − | 0.474478i | ||||||
\(418\) | 22.3551 | − | 2.48007i | 1.09342 | − | 0.121304i | ||||
\(419\) | 18.2597i | 0.892044i | 0.895022 | + | 0.446022i | \(0.147160\pi\) | ||||
−0.895022 | + | 0.446022i | \(0.852840\pi\) | |||||||
\(420\) | −0.0765562 | − | 0.189418i | −0.00373556 | − | 0.00924264i | ||||
\(421\) | 2.37505 | − | 0.418786i | 0.115753 | − | 0.0204104i | −0.115472 | − | 0.993311i | \(-0.536838\pi\) |
0.231225 | + | 0.972900i | \(0.425727\pi\) | |||||||
\(422\) | −7.40925 | − | 2.55071i | −0.360677 | − | 0.124167i | ||||
\(423\) | −6.72522 | − | 8.01481i | −0.326992 | − | 0.389693i | ||||
\(424\) | −2.63128 | + | 3.49313i | −0.127786 | + | 0.169642i | ||||
\(425\) | −15.5562 | + | 26.9441i | −0.754585 | + | 1.30698i | ||||
\(426\) | 27.6513 | + | 22.3888i | 1.33971 | + | 1.08474i | ||||
\(427\) | 0.0137280 | + | 0.0377174i | 0.000664345 | + | 0.00182527i | ||||
\(428\) | 4.05715 | − | 7.63260i | 0.196110 | − | 0.368936i | ||||
\(429\) | 11.7381 | + | 20.3309i | 0.566719 | + | 0.981586i | ||||
\(430\) | −43.5478 | − | 6.89463i | −2.10006 | − | 0.332488i | ||||
\(431\) | −4.29462 | + | 24.3560i | −0.206864 | + | 1.17319i | 0.687614 | + | 0.726076i | \(0.258658\pi\) |
−0.894479 | + | 0.447111i | \(0.852453\pi\) | |||||||
\(432\) | −7.76703 | − | 11.5091i | −0.373691 | − | 0.553734i | ||||
\(433\) | 20.5038 | − | 24.4355i | 0.985352 | − | 1.17430i | 0.000658384 | − | 1.00000i | \(-0.499790\pi\) |
0.984693 | − | 0.174297i | \(-0.0557651\pi\) | |||||||
\(434\) | 0.0393352 | − | 0.0236382i | 0.00188815 | − | 0.00113467i | ||||
\(435\) | 1.02973 | − | 2.82917i | 0.0493720 | − | 0.135648i | ||||
\(436\) | −21.7718 | − | 24.1742i | −1.04268 | − | 1.15774i | ||||
\(437\) | −15.3251 | + | 7.25300i | −0.733098 | + | 0.346958i | ||||
\(438\) | 12.6915 | − | 4.87267i | 0.606422 | − | 0.232825i | ||||
\(439\) | 18.4899 | + | 6.72976i | 0.882473 | + | 0.321194i | 0.743207 | − | 0.669061i | \(-0.233304\pi\) |
0.139266 | + | 0.990255i | \(0.455526\pi\) | |||||||
\(440\) | 11.8081 | − | 38.6476i | 0.562931 | − | 1.84245i | ||||
\(441\) | 7.14400 | + | 5.99453i | 0.340191 | + | 0.285454i | ||||
\(442\) | −11.5126 | − | 6.38064i | −0.547599 | − | 0.303496i | ||||
\(443\) | 5.11402 | + | 0.901740i | 0.242975 | + | 0.0428430i | 0.293809 | − | 0.955864i | \(-0.405077\pi\) |
−0.0508345 | + | 0.998707i | \(0.516188\pi\) | |||||||
\(444\) | 11.6993 | − | 2.48823i | 0.555224 | − | 0.118086i | ||||
\(445\) | −16.7645 | + | 9.67898i | −0.794712 | + | 0.458827i | ||||
\(446\) | 2.53045 | − | 2.19996i | 0.119820 | − | 0.104171i | ||||
\(447\) | −36.4836 | + | 13.2790i | −1.72562 | + | 0.628073i | ||||
\(448\) | −0.0916137 | − | 0.0407496i | −0.00432834 | − | 0.00192524i | ||||
\(449\) | 13.6251 | + | 7.86644i | 0.643007 | + | 0.371240i | 0.785772 | − | 0.618517i | \(-0.212266\pi\) |
−0.142765 | + | 0.989757i | \(0.545599\pi\) | |||||||
\(450\) | 3.71605 | + | 19.1113i | 0.175176 | + | 0.900916i | ||||
\(451\) | −22.3770 | + | 18.7766i | −1.05369 | + | 0.884154i | ||||
\(452\) | −0.398169 | − | 11.3630i | −0.0187283 | − | 0.534470i | ||||
\(453\) | 4.30818 | + | 24.4329i | 0.202416 | + | 1.14796i | ||||
\(454\) | 34.8757 | − | 0.610849i | 1.63680 | − | 0.0286686i | ||||
\(455\) | 0.151710 | 0.00711227 | ||||||||
\(456\) | −5.18741 | + | 25.1316i | −0.242923 | + | 1.17690i | ||||
\(457\) | −37.8299 | −1.76961 | −0.884803 | − | 0.465965i | \(-0.845707\pi\) | ||||
−0.884803 | + | 0.465965i | \(0.845707\pi\) | |||||||
\(458\) | −24.7525 | + | 0.433540i | −1.15661 | + | 0.0202580i | ||||
\(459\) | 1.81488 | + | 10.2927i | 0.0847111 | + | 0.480421i | ||||
\(460\) | 1.06677 | + | 30.4435i | 0.0497382 | + | 1.41944i | ||||
\(461\) | −26.3446 | + | 22.1057i | −1.22699 | + | 1.02957i | −0.228560 | + | 0.973530i | \(0.573402\pi\) |
−0.998429 | + | 0.0560360i | \(0.982154\pi\) | |||||||
\(462\) | −0.0256932 | − | 0.132138i | −0.00119535 | − | 0.00614760i | ||||
\(463\) | 5.85991 | + | 3.38322i | 0.272333 | + | 0.157232i | 0.629948 | − | 0.776638i | \(-0.283076\pi\) |
−0.357614 | + | 0.933869i | \(0.616410\pi\) | |||||||
\(464\) | −0.601320 | − | 1.34972i | −0.0279156 | − | 0.0626590i | ||||
\(465\) | −19.8293 | + | 7.21726i | −0.919560 | + | 0.334692i | ||||
\(466\) | 1.11027 | − | 0.965261i | 0.0514323 | − | 0.0447148i | ||||
\(467\) | 34.2890 | − | 19.7968i | 1.58671 | − | 0.916086i | 0.592863 | − | 0.805303i | \(-0.297998\pi\) |
0.993845 | − | 0.110783i | \(-0.0353358\pi\) | |||||||
\(468\) | −8.05656 | + | 1.71348i | −0.372415 | + | 0.0792059i | ||||
\(469\) | −0.115073 | − | 0.0202904i | −0.00531357 | − | 0.000936925i | ||||
\(470\) | −38.0369 | − | 21.0812i | −1.75451 | − | 0.972404i | ||||
\(471\) | −19.3129 | − | 16.2054i | −0.889890 | − | 0.746706i | ||||
\(472\) | −11.3301 | − | 3.46174i | −0.521511 | − | 0.159339i | ||||
\(473\) | −27.2984 | − | 9.93581i | −1.25518 | − | 0.456849i | ||||
\(474\) | 2.35581 | − | 0.904475i | 0.108206 | − | 0.0415439i | ||||
\(475\) | −25.6236 | + | 37.0426i | −1.17569 | + | 1.69963i | ||||
\(476\) | 0.0505088 | + | 0.0560822i | 0.00231507 | + | 0.00257052i | ||||
\(477\) | 0.704553 | − | 1.93574i | 0.0322593 | − | 0.0886316i | ||||
\(478\) | −7.05042 | + | 4.23689i | −0.322478 | + | 0.193791i | ||||
\(479\) | 3.80512 | − | 4.53476i | 0.173860 | − | 0.207199i | −0.672077 | − | 0.740482i | \(-0.734597\pi\) |
0.845937 | + | 0.533283i | \(0.179042\pi\) | |||||||
\(480\) | 37.7751 | + | 26.4336i | 1.72419 | + | 1.20652i | ||||
\(481\) | −1.54232 | + | 8.74693i | −0.0703237 | + | 0.398826i | ||||
\(482\) | 15.0568 | + | 2.38384i | 0.685820 | + | 0.108581i | ||||
\(483\) | 0.0507358 | + | 0.0878770i | 0.00230856 | + | 0.00399854i | ||||
\(484\) | 2.17143 | − | 4.08505i | 0.0987014 | − | 0.185684i | ||||
\(485\) | −5.28706 | − | 14.5261i | −0.240073 | − | 0.659596i | ||||
\(486\) | 14.2266 | + | 11.5190i | 0.645331 | + | 0.522515i | ||||
\(487\) | 9.55411 | − | 16.5482i | 0.432938 | − | 0.749871i | −0.564187 | − | 0.825647i | \(-0.690810\pi\) |
0.997125 | + | 0.0757763i | \(0.0241435\pi\) | |||||||
\(488\) | −7.23499 | − | 5.44991i | −0.327512 | − | 0.246706i | ||||
\(489\) | 6.02449 | + | 7.17970i | 0.272437 | + | 0.324677i | ||||
\(490\) | 36.6521 | + | 12.6179i | 1.65577 | + | 0.570017i | ||||
\(491\) | 10.3208 | − | 1.81983i | 0.465771 | − | 0.0821279i | 0.0641624 | − | 0.997939i | \(-0.479562\pi\) |
0.401608 | + | 0.915812i | \(0.368451\pi\) | |||||||
\(492\) | −12.4882 | − | 30.8988i | −0.563013 | − | 1.39303i | ||||
\(493\) | 1.11223i | 0.0500925i | ||||||||
\(494\) | −15.8589 | − | 10.5644i | −0.713525 | − | 0.475313i | ||||
\(495\) | 19.0351i | 0.855566i | ||||||||
\(496\) | −4.53768 | + | 9.30929i | −0.203748 | + | 0.417999i | ||||
\(497\) | 0.149190 | − | 0.0263062i | 0.00669209 | − | 0.00118000i | ||||
\(498\) | −4.77499 | + | 13.8703i | −0.213973 | + | 0.621543i | ||||
\(499\) | −25.8797 | − | 30.8423i | −1.15854 | − | 1.38069i | −0.911304 | − | 0.411733i | \(-0.864923\pi\) |
−0.247232 | − | 0.968956i | \(-0.579521\pi\) | |||||||
\(500\) | 22.1374 | + | 35.4178i | 0.990016 | + | 1.58393i | ||||
\(501\) | −0.634321 | + | 1.09868i | −0.0283394 | + | 0.0490852i | ||||
\(502\) | 20.5131 | − | 25.3347i | 0.915544 | − | 1.13074i | ||||
\(503\) | −9.52283 | − | 26.1638i | −0.424602 | − | 1.16658i | −0.949045 | − | 0.315139i | \(-0.897949\pi\) |
0.524443 | − | 0.851445i | \(-0.324273\pi\) | |||||||
\(504\) | 0.0468787 | + | 0.00574742i | 0.00208814 | + | 0.000256010i | ||||
\(505\) | −12.5537 | − | 21.7436i | −0.558631 | − | 0.967578i | ||||
\(506\) | −3.13862 | + | 19.8241i | −0.139529 | + | 0.881291i | ||||
\(507\) | −1.24495 | + | 7.06048i | −0.0552903 | + | 0.313567i | ||||
\(508\) | −3.08082 | + | 21.9403i | −0.136689 | + | 0.973442i | ||||
\(509\) | 17.9851 | − | 21.4337i | 0.797173 | − | 0.950034i | −0.202398 | − | 0.979303i | \(-0.564874\pi\) |
0.999572 | + | 0.0292691i | \(0.00931798\pi\) | |||||||
\(510\) | −17.8760 | − | 29.7466i | −0.791563 | − | 1.31720i | ||||
\(511\) | 0.0197979 | − | 0.0543942i | 0.000875806 | − | 0.00240626i | ||||
\(512\) | 22.3469 | − | 3.55176i | 0.987604 | − | 0.156967i | ||||
\(513\) | 1.40474 | + | 15.0652i | 0.0620209 | + | 0.665146i | ||||
\(514\) | −15.1892 | − | 39.5621i | −0.669967 | − | 1.74501i | ||||
\(515\) | −13.3659 | − | 4.86479i | −0.588972 | − | 0.214368i | ||||
\(516\) | 20.4021 | − | 26.1200i | 0.898154 | − | 1.14987i | ||||
\(517\) | −21.9500 | − | 18.4182i | −0.965359 | − | 0.810033i | ||||
\(518\) | 0.0246881 | − | 0.0445447i | 0.00108473 | − | 0.00195718i | ||||
\(519\) | 4.19265 | + | 0.739277i | 0.184037 | + | 0.0324507i | ||||
\(520\) | −28.7097 | + | 18.6517i | −1.25901 | + | 0.817929i | ||||
\(521\) | −0.104545 | + | 0.0603592i | −0.00458021 | + | 0.00264439i | −0.502288 | − | 0.864700i | \(-0.667508\pi\) |
0.497708 | + | 0.867345i | \(0.334175\pi\) | |||||||
\(522\) | 0.456652 | + | 0.525255i | 0.0199871 | + | 0.0229898i | ||||
\(523\) | 16.0259 | − | 5.83294i | 0.700763 | − | 0.255057i | 0.0330262 | − | 0.999454i | \(-0.489486\pi\) |
0.667737 | + | 0.744398i | \(0.267263\pi\) | |||||||
\(524\) | 8.82690 | − | 27.1775i | 0.385605 | − | 1.18725i | ||||
\(525\) | 0.233451 | + | 0.134783i | 0.0101886 | + | 0.00588240i | ||||
\(526\) | −40.1494 | + | 7.80675i | −1.75060 | + | 0.340391i | ||||
\(527\) | 5.97169 | − | 5.01084i | 0.260131 | − | 0.218276i | ||||
\(528\) | 21.1076 | + | 21.8471i | 0.918589 | + | 0.950771i | ||||
\(529\) | 1.36667 | + | 7.75075i | 0.0594203 | + | 0.336989i | ||||
\(530\) | −0.149947 | − | 8.56106i | −0.00651329 | − | 0.371869i | ||||
\(531\) | 5.58044 | 0.242171 | ||||||||
\(532\) | 0.0662643 | + | 0.0868774i | 0.00287292 | + | 0.00376661i | ||||
\(533\) | 24.7477 | 1.07194 | ||||||||
\(534\) | −0.254836 | − | 14.5496i | −0.0110278 | − | 0.629622i | ||||
\(535\) | 2.93878 | + | 16.6666i | 0.127054 | + | 0.720561i | ||||
\(536\) | 24.2710 | − | 10.3076i | 1.04835 | − | 0.445220i | ||||
\(537\) | 35.8175 | − | 30.0545i | 1.54564 | − | 1.29695i | ||||
\(538\) | −31.3582 | + | 6.09737i | −1.35195 | + | 0.262876i | ||||
\(539\) | 22.1187 | + | 12.7702i | 0.952719 | + | 0.550053i | ||||
\(540\) | 25.8552 | + | 8.39745i | 1.11263 | + | 0.361369i | ||||
\(541\) | 36.3211 | − | 13.2198i | 1.56157 | − | 0.568364i | 0.590472 | − | 0.807058i | \(-0.298942\pi\) |
0.971095 | + | 0.238694i | \(0.0767193\pi\) | |||||||
\(542\) | 16.2491 | + | 18.6902i | 0.697960 | + | 0.802814i | ||||
\(543\) | 45.7059 | − | 26.3883i | 1.96143 | − | 1.13243i | ||||
\(544\) | −16.4532 | − | 4.40335i | −0.705427 | − | 0.188792i | ||||
\(545\) | 62.7284 | + | 11.0607i | 2.68699 | + | 0.473788i | ||||
\(546\) | −0.0552835 | + | 0.0997483i | −0.00236592 | + | 0.00426883i | ||||
\(547\) | −30.4952 | − | 25.5886i | −1.30388 | − | 1.09409i | −0.989460 | − | 0.144804i | \(-0.953745\pi\) |
−0.314422 | − | 0.949283i | \(-0.601811\pi\) | |||||||
\(548\) | 3.47938 | + | 2.71772i | 0.148632 | + | 0.116095i | ||||
\(549\) | 4.00932 | + | 1.45927i | 0.171113 | + | 0.0622802i | ||||
\(550\) | 19.1112 | + | 49.7774i | 0.814903 | + | 2.12251i | ||||
\(551\) | −0.131177 | + | 1.60483i | −0.00558835 | + | 0.0683681i | ||||
\(552\) | −20.4051 | − | 10.3923i | −0.868500 | − | 0.442326i | ||||
\(553\) | 0.00367492 | − | 0.0100968i | 0.000156273 | − | 0.000429358i | ||||
\(554\) | 1.10047 | + | 1.83124i | 0.0467544 | + | 0.0778019i | ||||
\(555\) | −15.0529 | + | 17.9393i | −0.638960 | + | 0.761482i | ||||
\(556\) | 9.21967 | + | 1.29461i | 0.391001 | + | 0.0549038i | ||||
\(557\) | −2.60992 | + | 14.8016i | −0.110586 | + | 0.627163i | 0.878256 | + | 0.478191i | \(0.158707\pi\) |
−0.988841 | + | 0.148972i | \(0.952404\pi\) | |||||||
\(558\) | 0.762830 | − | 4.81819i | 0.0322932 | − | 0.203970i | ||||
\(559\) | 12.3058 | + | 21.3142i | 0.520478 | + | 0.901495i | ||||
\(560\) | 0.190469 | − | 0.0475379i | 0.00804880 | − | 0.00200884i | ||||
\(561\) | −7.82076 | − | 21.4873i | −0.330193 | − | 0.907197i | ||||
\(562\) | −15.1275 | + | 18.6831i | −0.638113 | + | 0.788101i | ||||
\(563\) | 12.7286 | − | 22.0466i | 0.536448 | − | 0.929155i | −0.462644 | − | 0.886544i | \(-0.653099\pi\) |
0.999092 | − | 0.0426108i | \(-0.0135676\pi\) | |||||||
\(564\) | 27.7215 | − | 17.3269i | 1.16729 | − | 0.729596i | ||||
\(565\) | 14.3091 | + | 17.0530i | 0.601989 | + | 0.717423i | ||||
\(566\) | −13.3982 | + | 38.9189i | −0.563170 | + | 1.63588i | ||||
\(567\) | 0.138512 | − | 0.0244234i | 0.00581696 | − | 0.00102569i | ||||
\(568\) | −24.9987 | + | 23.3201i | −1.04892 | + | 0.978488i | ||||
\(569\) | 5.45023i | 0.228485i | 0.993453 | + | 0.114243i | \(0.0364441\pi\) | ||||
−0.993453 | + | 0.114243i | \(0.963556\pi\) | |||||||
\(570\) | −22.2848 | − | 45.0294i | −0.933406 | − | 1.88607i | ||||
\(571\) | 23.3280i | 0.976248i | 0.872774 | + | 0.488124i | \(0.162319\pi\) | ||||
−0.872774 | + | 0.488124i | \(0.837681\pi\) | |||||||
\(572\) | −20.9143 | + | 8.45283i | −0.874469 | + | 0.353430i | ||||
\(573\) | −37.4214 | + | 6.59840i | −1.56330 | + | 0.275652i | ||||
\(574\) | −0.134175 | − | 0.0461913i | −0.00560037 | − | 0.00192799i | ||||
\(575\) | −25.8355 | − | 30.7896i | −1.07742 | − | 1.28401i | ||||
\(576\) | −9.57797 | + | 4.67575i | −0.399082 | + | 0.194823i | ||||
\(577\) | 9.14162 | − | 15.8338i | 0.380571 | − | 0.659168i | −0.610573 | − | 0.791960i | \(-0.709061\pi\) |
0.991144 | + | 0.132792i | \(0.0423942\pi\) | |||||||
\(578\) | −8.72076 | − | 7.06106i | −0.362736 | − | 0.293702i | ||||
\(579\) | 1.02396 | + | 2.81332i | 0.0425545 | + | 0.116917i | ||||
\(580\) | 2.55451 | + | 1.35786i | 0.106070 | + | 0.0563822i | ||||
\(581\) | 0.0312301 | + | 0.0540921i | 0.00129564 | + | 0.00224412i | ||||
\(582\) | 11.4774 | + | 1.81714i | 0.475755 | + | 0.0753229i | ||||
\(583\) | 0.979656 | − | 5.55590i | 0.0405732 | − | 0.230102i | ||||
\(584\) | 2.94081 | + | 12.7276i | 0.121692 | + | 0.526672i | ||||
\(585\) | 10.3660 | − | 12.3537i | 0.428581 | − | 0.510762i | ||||
\(586\) | 22.4241 | − | 13.4756i | 0.926330 | − | 0.556671i | ||||
\(587\) | −10.3417 | + | 28.4136i | −0.426849 | + | 1.17276i | 0.520866 | + | 0.853638i | \(0.325609\pi\) |
−0.947715 | + | 0.319118i | \(0.896613\pi\) | |||||||
\(588\) | −21.6523 | + | 19.5005i | −0.892925 | + | 0.804187i | ||||
\(589\) | 9.20747 | − | 6.52579i | 0.379387 | − | 0.268890i | ||||
\(590\) | 21.6542 | − | 8.31376i | 0.891490 | − | 0.342272i | ||||
\(591\) | −7.21090 | − | 2.62455i | −0.296617 | − | 0.107960i | ||||
\(592\) | 0.804467 | + | 11.4649i | 0.0330634 | + | 0.471205i | ||||
\(593\) | −12.2887 | − | 10.3114i | −0.504635 | − | 0.423439i | 0.354601 | − | 0.935018i | \(-0.384617\pi\) |
−0.859237 | + | 0.511578i | \(0.829061\pi\) | |||||||
\(594\) | 15.6664 | + | 8.68278i | 0.642799 | + | 0.356259i | ||||
\(595\) | −0.145525 | − | 0.0256599i | −0.00596592 | − | 0.00105195i | ||||
\(596\) | −7.76082 | − | 36.4903i | −0.317895 | − | 1.49470i | ||||
\(597\) | −35.1685 | + | 20.3046i | −1.43935 | + | 0.831010i | ||||
\(598\) | 12.8326 | − | 11.1566i | 0.524764 | − | 0.456225i | ||||
\(599\) | −7.44486 | + | 2.70971i | −0.304189 | + | 0.110716i | −0.489605 | − | 0.871944i | \(-0.662859\pi\) |
0.185416 | + | 0.982660i | \(0.440637\pi\) | |||||||
\(600\) | −60.7490 | + | 3.19467i | −2.48007 | + | 0.130422i | ||||
\(601\) | −8.01633 | − | 4.62823i | −0.326993 | − | 0.188789i | 0.327512 | − | 0.944847i | \(-0.393790\pi\) |
−0.654505 | + | 0.756058i | \(0.727123\pi\) | |||||||
\(602\) | −0.0269358 | − | 0.138528i | −0.00109782 | − | 0.00564599i | ||||
\(603\) | −9.51489 | + | 7.98394i | −0.387476 | + | 0.325131i | ||||
\(604\) | −23.8247 | + | 0.834838i | −0.969415 | + | 0.0339691i | ||||
\(605\) | 1.57286 | + | 8.92016i | 0.0639461 | + | 0.362656i | ||||
\(606\) | 18.8709 | − | 0.330524i | 0.766576 | − | 0.0134266i | ||||
\(607\) | 10.8462 | 0.440232 | 0.220116 | − | 0.975474i | \(-0.429356\pi\) | ||||
0.220116 | + | 0.975474i | \(0.429356\pi\) | |||||||
\(608\) | −23.2209 | − | 8.29405i | −0.941731 | − | 0.336368i | ||||
\(609\) | 0.00963669 | 0.000390498 | ||||||||
\(610\) | 17.7317 | − | 0.310571i | 0.717935 | − | 0.0125747i | ||||
\(611\) | 4.21539 | + | 23.9066i | 0.170536 | + | 0.967159i | ||||
\(612\) | 8.01790 | − | 0.280954i | 0.324104 | − | 0.0113569i | ||||
\(613\) | −0.997329 | + | 0.836858i | −0.0402817 | + | 0.0338004i | −0.662706 | − | 0.748879i | \(-0.730592\pi\) |
0.622425 | + | 0.782680i | \(0.286148\pi\) | |||||||
\(614\) | −3.16674 | − | 16.2863i | −0.127799 | − | 0.657260i | ||||
\(615\) | 56.5085 | + | 32.6252i | 2.27864 | + | 1.31558i | ||||
\(616\) | 0.129168 | − | 0.00679273i | 0.00520435 | − | 0.000273687i | ||||
\(617\) | 42.4866 | − | 15.4639i | 1.71045 | − | 0.622551i | 0.713500 | − | 0.700655i | \(-0.247109\pi\) |
0.996945 | + | 0.0781039i | \(0.0248866\pi\) | |||||||
\(618\) | 8.06914 | − | 7.01524i | 0.324588 | − | 0.282194i | ||||
\(619\) | −3.83161 | + | 2.21218i | −0.154005 | + | 0.0889151i | −0.575022 | − | 0.818138i | \(-0.695007\pi\) |
0.421017 | + | 0.907053i | \(0.361673\pi\) | |||||||
\(620\) | −4.21809 | − | 19.8329i | −0.169402 | − | 0.796506i | ||||
\(621\) | −13.2967 | − | 2.34457i | −0.533580 | − | 0.0940845i | ||||
\(622\) | 21.6901 | + | 12.0213i | 0.869693 | + | 0.482011i | ||||
\(623\) | −0.0474644 | − | 0.0398273i | −0.00190162 | − | 0.00159565i | ||||
\(624\) | −1.80143 | − | 25.6732i | −0.0721149 | − | 1.02775i | ||||
\(625\) | −28.2932 | − | 10.2979i | −1.13173 | − | 0.411915i | ||||
\(626\) | −24.9515 | + | 9.57972i | −0.997264 | + | 0.382882i | ||||
\(627\) | −8.75026 | − | 31.9263i | −0.349452 | − | 1.27501i | ||||
\(628\) | 18.0007 | − | 16.2119i | 0.718308 | − | 0.646923i | ||||
\(629\) | 2.95887 | − | 8.12944i | 0.117978 | − | 0.324142i | ||||
\(630\) | −0.0792595 | + | 0.0476304i | −0.00315777 | + | 0.00189764i | ||||
\(631\) | 16.8681 | − | 20.1027i | 0.671510 | − | 0.800275i | −0.317479 | − | 0.948265i | \(-0.602836\pi\) |
0.988989 | + | 0.147991i | \(0.0472806\pi\) | |||||||
\(632\) | 0.545879 | + | 2.36253i | 0.0217139 | + | 0.0939762i | ||||
\(633\) | −2.00267 | + | 11.3577i | −0.0795990 | + | 0.451428i | ||||
\(634\) | 25.8394 | + | 4.09097i | 1.02621 | + | 0.162473i | ||||
\(635\) | −21.6889 | − | 37.5663i | −0.860699 | − | 1.49077i | ||||
\(636\) | 5.68348 | + | 3.02108i | 0.225365 | + | 0.119794i | ||||
\(637\) | −7.40060 | − | 20.3330i | −0.293223 | − | 0.805622i | ||||
\(638\) | 1.48142 | + | 1.19948i | 0.0586499 | + | 0.0474879i | ||||
\(639\) | 8.05169 | − | 13.9459i | 0.318520 | − | 0.551693i | ||||
\(640\) | −30.2002 | + | 32.4130i | −1.19377 | + | 1.28123i | ||||
\(641\) | −12.9356 | − | 15.4160i | −0.510925 | − | 0.608897i | 0.447485 | − | 0.894291i | \(-0.352320\pi\) |
−0.958410 | + | 0.285395i | \(0.907875\pi\) | |||||||
\(642\) | −12.0291 | − | 4.14114i | −0.474750 | − | 0.163438i | ||||
\(643\) | 13.0933 | − | 2.30869i | 0.516348 | − | 0.0910460i | 0.0905990 | − | 0.995887i | \(-0.471122\pi\) |
0.425749 | + | 0.904841i | \(0.360011\pi\) | |||||||
\(644\) | −0.0903983 | + | 0.0365359i | −0.00356219 | + | 0.00143972i | ||||
\(645\) | 64.8913i | 2.55509i | ||||||||
\(646\) | 13.4255 | + | 12.8160i | 0.528217 | + | 0.504238i | ||||
\(647\) | 1.02886i | 0.0404485i | 0.999795 | + | 0.0202243i | \(0.00643802\pi\) | ||||
−0.999795 | + | 0.0202243i | \(0.993562\pi\) | |||||||
\(648\) | −23.2095 | + | 21.6510i | −0.911754 | + | 0.850531i | ||||
\(649\) | 15.0509 | − | 2.65387i | 0.590798 | − | 0.104174i | ||||
\(650\) | 14.7043 | − | 42.7126i | 0.576749 | − | 1.67533i | ||||
\(651\) | −0.0434153 | − | 0.0517403i | −0.00170158 | − | 0.00202786i | ||||
\(652\) | −7.63681 | + | 4.77328i | −0.299080 | + | 0.186936i | ||||
\(653\) | 16.8522 | − | 29.1890i | 0.659479 | − | 1.14225i | −0.321271 | − | 0.946987i | \(-0.604110\pi\) |
0.980751 | − | 0.195265i | \(-0.0625566\pi\) | |||||||
\(654\) | −30.1307 | + | 37.2129i | −1.17820 | + | 1.45514i | ||||
\(655\) | 19.1348 | + | 52.5725i | 0.747659 | + | 2.05418i | ||||
\(656\) | 31.0704 | − | 7.75462i | 1.21309 | − | 0.302767i | ||||
\(657\) | −3.07656 | − | 5.32876i | −0.120028 | − | 0.207895i | ||||
\(658\) | 0.0217667 | − | 0.137483i | 0.000848556 | − | 0.00535965i | ||||
\(659\) | −3.56241 | + | 20.2034i | −0.138772 | + | 0.787015i | 0.833387 | + | 0.552690i | \(0.186399\pi\) |
−0.972159 | + | 0.234324i | \(0.924712\pi\) | |||||||
\(660\) | −58.8987 | − | 8.27047i | −2.29263 | − | 0.321928i | ||||
\(661\) | −6.85599 | + | 8.17065i | −0.266667 | + | 0.317802i | −0.882716 | − | 0.469906i | \(-0.844288\pi\) |
0.616049 | + | 0.787708i | \(0.288732\pi\) | |||||||
\(662\) | 4.09587 | + | 6.81575i | 0.159190 | + | 0.264901i | ||||
\(663\) | −6.62575 | + | 18.2041i | −0.257323 | + | 0.706989i | ||||
\(664\) | −12.5603 | − | 6.39692i | −0.487432 | − | 0.248249i | ||||
\(665\) | −0.206949 | − | 0.0541876i | −0.00802516 | − | 0.00210131i | ||||
\(666\) | −1.94039 | − | 5.05398i | −0.0751885 | − | 0.195838i | ||||
\(667\) | −1.35020 | − | 0.491434i | −0.0522801 | − | 0.0190284i | ||||
\(668\) | −0.960689 | − | 0.750387i | −0.0371702 | − | 0.0290333i | ||||
\(669\) | −3.78041 | − | 3.17214i | −0.146159 | − | 0.122642i | ||||
\(670\) | −25.0268 | + | 45.1560i | −0.966871 | + | 1.74453i | ||||
\(671\) | 11.5074 | + | 2.02907i | 0.444238 | + | 0.0783312i | ||||
\(672\) | −0.0381518 | + | 0.142555i | −0.00147174 | + | 0.00549919i | ||||
\(673\) | 9.63086 | − | 5.56038i | 0.371243 | − | 0.214337i | −0.302759 | − | 0.953067i | \(-0.597908\pi\) |
0.674001 | + | 0.738730i | \(0.264574\pi\) | |||||||
\(674\) | 17.2382 | + | 19.8279i | 0.663992 | + | 0.763743i | ||||
\(675\) | −33.7054 | + | 12.2678i | −1.29732 | + | 0.472186i | ||||
\(676\) | −6.55205 | − | 2.12802i | −0.252002 | − | 0.0818469i | ||||
\(677\) | 35.8298 | + | 20.6863i | 1.37705 | + | 0.795040i | 0.991803 | − | 0.127774i | \(-0.0407833\pi\) |
0.385246 | + | 0.922814i | \(0.374117\pi\) | |||||||
\(678\) | −16.4265 | + | 3.19401i | −0.630855 | + | 0.122665i | ||||
\(679\) | 0.0379028 | − | 0.0318042i | 0.00145458 | − | 0.00122053i | ||||
\(680\) | 30.6939 | − | 13.0353i | 1.17706 | − | 0.499881i | ||||
\(681\) | −8.91464 | − | 50.5574i | −0.341610 | − | 1.93736i | ||||
\(682\) | −0.233962 | − | 13.3578i | −0.00895887 | − | 0.511496i | ||||
\(683\) | −9.92340 | −0.379708 | −0.189854 | − | 0.981812i | \(-0.560801\pi\) | ||||
−0.189854 | + | 0.981812i | \(0.560801\pi\) | |||||||
\(684\) | 11.6021 | + | 0.540251i | 0.443617 | + | 0.0206570i | ||||
\(685\) | −8.64402 | −0.330271 | ||||||||
\(686\) | 0.00434563 | + | 0.248109i | 0.000165917 | + | 0.00947284i | ||||
\(687\) | 6.32702 | + | 35.8823i | 0.241391 | + | 1.36900i | ||||
\(688\) | 22.1284 | + | 22.9037i | 0.843638 | + | 0.873194i | ||||
\(689\) | −3.66137 | + | 3.07226i | −0.139487 | + | 0.117044i | ||||
\(690\) | 44.0095 | − | 8.55732i | 1.67541 | − | 0.325772i | ||||
\(691\) | −33.6096 | − | 19.4045i | −1.27857 | − | 0.738182i | −0.301984 | − | 0.953313i | \(-0.597649\pi\) |
−0.976585 | + | 0.215130i | \(0.930982\pi\) | |||||||
\(692\) | −1.26366 | + | 3.89073i | −0.0480371 | + | 0.147903i | ||||
\(693\) | −0.0572527 | + | 0.0208383i | −0.00217485 | + | 0.000791581i | ||||
\(694\) | −19.5758 | − | 22.5167i | −0.743088 | − | 0.854721i | ||||
\(695\) | −15.7860 | + | 9.11405i | −0.598797 | + | 0.345716i | ||||
\(696\) | −1.82366 | + | 1.18476i | −0.0691255 | + | 0.0449083i | ||||
\(697\) | −23.7387 | − | 4.18578i | −0.899168 | − | 0.158548i | ||||
\(698\) | −9.62793 | + | 17.3717i | −0.364423 | + | 0.657529i | ||||
\(699\) | −1.65871 | − | 1.39182i | −0.0627381 | − | 0.0526435i | ||||
\(700\) | −0.159445 | + | 0.204131i | −0.00602645 | + | 0.00771541i | ||||
\(701\) | −9.41264 | − | 3.42592i | −0.355511 | − | 0.129395i | 0.158090 | − | 0.987425i | \(-0.449466\pi\) |
−0.513601 | + | 0.858029i | \(0.671689\pi\) | |||||||
\(702\) | −5.43899 | − | 14.1665i | −0.205281 | − | 0.534680i | ||||
\(703\) | 5.22812 | − | 11.3809i | 0.197182 | − | 0.429239i | ||||
\(704\) | −23.6088 | + | 17.1658i | −0.889792 | + | 0.646960i | ||||
\(705\) | −21.8911 | + | 60.1452i | −0.824465 | + | 2.26520i | ||||
\(706\) | −8.08128 | − | 13.4477i | −0.304143 | − | 0.506110i | ||||
\(707\) | 0.0516562 | − | 0.0615615i | 0.00194273 | − | 0.00231526i | ||||
\(708\) | −2.42461 | + | 17.2670i | −0.0911226 | + | 0.648935i | ||||
\(709\) | 8.31894 | − | 47.1790i | 0.312424 | − | 1.77185i | −0.273889 | − | 0.961761i | \(-0.588310\pi\) |
0.586313 | − | 0.810085i | \(-0.300579\pi\) | |||||||
\(710\) | 10.4669 | − | 66.1109i | 0.392815 | − | 2.48110i | ||||
\(711\) | −0.571077 | − | 0.989135i | −0.0214171 | − | 0.0370955i | ||||
\(712\) | 13.8787 | + | 1.70155i | 0.520126 | + | 0.0637685i | ||||
\(713\) | 3.44439 | + | 9.46338i | 0.128993 | + | 0.354406i | ||||
\(714\) | 0.0699007 | − | 0.0863308i | 0.00261597 | − | 0.00323085i | ||||
\(715\) | 22.0828 | − | 38.2485i | 0.825850 | − | 1.43041i | ||||
\(716\) | 23.8125 | + | 38.0978i | 0.889916 | + | 1.42378i | ||||
\(717\) | 7.78173 | + | 9.27390i | 0.290614 | + | 0.346340i | ||||
\(718\) | 3.33185 | − | 9.67829i | 0.124344 | − | 0.361191i | ||||
\(719\) | −33.5360 | + | 5.91330i | −1.25068 | + | 0.220529i | −0.759487 | − | 0.650522i | \(-0.774550\pi\) |
−0.491193 | + | 0.871051i | \(0.663439\pi\) | |||||||
\(720\) | 9.14332 | − | 18.7580i | 0.340752 | − | 0.699070i | ||||
\(721\) | − | 0.0455268i | − | 0.00169550i | ||||||
\(722\) | 17.8599 | + | 20.0754i | 0.664678 | + | 0.747130i | ||||
\(723\) | − | 22.4364i | − | 0.834419i | ||||||
\(724\) | 19.0028 | + | 47.0173i | 0.706233 | + | 1.74738i | ||||
\(725\) | −3.75911 | + | 0.662832i | −0.139610 | + | 0.0246170i | ||||
\(726\) | −6.43810 | − | 2.21638i | −0.238940 | − | 0.0822577i | ||||
\(727\) | −1.87961 | − | 2.24003i | −0.0697107 | − | 0.0830780i | 0.730062 | − | 0.683381i | \(-0.239491\pi\) |
−0.799773 | + | 0.600303i | \(0.795047\pi\) | |||||||
\(728\) | −0.0875287 | − | 0.0659329i | −0.00324403 | − | 0.00244364i | ||||
\(729\) | −3.36209 | + | 5.82332i | −0.124522 | + | 0.215678i | ||||
\(730\) | −19.8770 | − | 16.0941i | −0.735681 | − | 0.595670i | ||||
\(731\) | −8.19900 | − | 22.5266i | −0.303251 | − | 0.833175i | ||||
\(732\) | −6.25728 | + | 11.7716i | −0.231276 | + | 0.435092i | ||||
\(733\) | 16.3253 | + | 28.2763i | 0.602989 | + | 1.04441i | 0.992366 | + | 0.123329i | \(0.0393570\pi\) |
−0.389377 | + | 0.921078i | \(0.627310\pi\) | |||||||
\(734\) | 16.9900 | + | 2.68990i | 0.627111 | + | 0.0992861i | ||||
\(735\) | 9.90681 | − | 56.1843i | 0.365418 | − | 2.07239i | ||||
\(736\) | 12.6152 | − | 18.0279i | 0.465004 | − | 0.664518i | ||||
\(737\) | −21.8654 | + | 26.0582i | −0.805424 | + | 0.959867i | ||||
\(738\) | −12.9292 | + | 7.76971i | −0.475931 | + | 0.286007i | ||||
\(739\) | −8.80642 | + | 24.1954i | −0.323949 | + | 0.890044i | 0.665659 | + | 0.746256i | \(0.268150\pi\) |
−0.989609 | + | 0.143788i | \(0.954072\pi\) | |||||||
\(740\) | −15.0589 | − | 16.7205i | −0.553575 | − | 0.614659i | ||||
\(741\) | −11.7072 | + | 25.4851i | −0.430076 | + | 0.936218i | ||||
\(742\) | 0.0255853 | − | 0.00982303i | 0.000939265 | − | 0.000360615i | ||||
\(743\) | 6.00559 | + | 2.18585i | 0.220324 | + | 0.0801912i | 0.449824 | − | 0.893117i | \(-0.351487\pi\) |
−0.229500 | + | 0.973309i | \(0.573709\pi\) | |||||||
\(744\) | 14.5770 | + | 4.45378i | 0.534420 | + | 0.163284i | ||||
\(745\) | 55.9531 | + | 46.9502i | 2.04996 | + | 1.72012i | ||||
\(746\) | 16.1675 | + | 8.96055i | 0.591936 | + | 0.328069i | ||||
\(747\) | 6.53858 | + | 1.15293i | 0.239234 | + | 0.0421834i | ||||
\(748\) | 21.4912 | − | 4.57080i | 0.785798 | − | 0.167125i | ||||
\(749\) | −0.0469117 | + | 0.0270845i | −0.00171412 | + | 0.000989646i | ||||
\(750\) | 46.3911 | − | 40.3321i | 1.69397 | − | 1.47272i | ||||
\(751\) | −13.2775 | + | 4.83260i | −0.484501 | + | 0.176344i | −0.572710 | − | 0.819758i | \(-0.694108\pi\) |
0.0882089 | + | 0.996102i | \(0.471886\pi\) | |||||||
\(752\) | 12.7834 | + | 28.6935i | 0.466163 | + | 1.04634i | ||||
\(753\) | −41.5495 | − | 23.9886i | −1.51415 | − | 0.874194i | ||||
\(754\) | −0.308229 | − | 1.58519i | −0.0112250 | − | 0.0577293i | ||||
\(755\) | 35.7549 | − | 30.0019i | 1.30125 | − | 1.09188i | ||||
\(756\) | 0.00304710 | + | 0.0869587i | 0.000110822 | + | 0.00316266i | ||||
\(757\) | −8.05808 | − | 45.6996i | −0.292876 | − | 1.66098i | −0.675713 | − | 0.737165i | \(-0.736164\pi\) |
0.382837 | − | 0.923816i | \(-0.374947\pi\) | |||||||
\(758\) | 1.70635 | − | 0.0298868i | 0.0619774 | − | 0.00108554i | ||||
\(759\) | 29.5403 | 1.07224 | ||||||||
\(760\) | 45.8253 | − | 15.1884i | 1.66226 | − | 0.550943i | ||||
\(761\) | −21.5443 | −0.780979 | −0.390489 | − | 0.920607i | \(-0.627694\pi\) | ||||
−0.390489 | + | 0.920607i | \(0.627694\pi\) | |||||||
\(762\) | 32.6031 | − | 0.571045i | 1.18109 | − | 0.0206868i | ||||
\(763\) | 0.0354027 | + | 0.200779i | 0.00128167 | + | 0.00726869i | ||||
\(764\) | −1.27864 | − | 36.4899i | −0.0462595 | − | 1.32016i | ||||
\(765\) | −12.0328 | + | 10.0967i | −0.435047 | + | 0.365048i | ||||
\(766\) | 0.222443 | + | 1.14401i | 0.00803720 | + | 0.0413346i | ||||
\(767\) | −11.2131 | − | 6.47391i | −0.404883 | − | 0.233759i | ||||
\(768\) | −10.3063 | − | 31.6678i | −0.371896 | − | 1.14271i | ||||
\(769\) | −15.8951 | + | 5.78536i | −0.573193 | + | 0.208625i | −0.612321 | − | 0.790609i | \(-0.709764\pi\) |
0.0391282 | + | 0.999234i | \(0.487542\pi\) | |||||||
\(770\) | −0.191117 | + | 0.166156i | −0.00688739 | + | 0.00598784i | ||||
\(771\) | −54.0148 | + | 31.1854i | −1.94529 | + | 1.12312i | ||||
\(772\) | −2.81383 | + | 0.598450i | −0.101272 | + | 0.0215387i | ||||
\(773\) | −42.1912 | − | 7.43944i | −1.51751 | − | 0.267578i | −0.648057 | − | 0.761592i | \(-0.724418\pi\) |
−0.869454 | + | 0.494014i | \(0.835529\pi\) | |||||||
\(774\) | −13.1208 | − | 7.27193i | −0.471616 | − | 0.261384i | ||||
\(775\) | 20.4944 | + | 17.1968i | 0.736179 | + | 0.617727i | ||||
\(776\) | −3.26266 | + | 10.6785i | −0.117123 | + | 0.383337i | ||||
\(777\) | −0.0704356 | − | 0.0256365i | −0.00252686 | − | 0.000919704i | ||||
\(778\) | −32.9651 | + | 12.6564i | −1.18186 | + | 0.453753i | ||||
\(779\) | −33.7587 | − | 8.83937i | −1.20953 | − | 0.316703i | ||||
\(780\) | 33.7210 | + | 37.4420i | 1.20741 | + | 1.34064i | ||||
\(781\) | 15.0838 | − | 41.4423i | 0.539740 | − | 1.48292i | ||||
\(782\) | −14.1964 | + | 8.53120i | −0.507661 | + | 0.305075i | ||||
\(783\) | −0.824223 | + | 0.982271i | −0.0294553 | + | 0.0351035i | ||||
\(784\) | −15.6626 | − | 23.2088i | −0.559379 | − | 0.828885i | ||||
\(785\) | −8.23608 | + | 46.7091i | −0.293958 | + | 1.66712i | ||||
\(786\) | −41.5388 | − | 6.57655i | −1.48164 | − | 0.234578i | ||||
\(787\) | 8.04667 | + | 13.9372i | 0.286833 | + | 0.496809i | 0.973052 | − | 0.230586i | \(-0.0740643\pi\) |
−0.686219 | + | 0.727395i | \(0.740731\pi\) | |||||||
\(788\) | 3.46087 | − | 6.51084i | 0.123289 | − | 0.231939i | ||||
\(789\) | 20.5889 | + | 56.5676i | 0.732984 | + | 2.01386i | ||||
\(790\) | −3.68961 | − | 2.98742i | −0.131270 | − | 0.106288i | ||||
\(791\) | −0.0356262 | + | 0.0617064i | −0.00126672 | + | 0.00219403i | ||||
\(792\) | 8.27264 | − | 10.9823i | 0.293956 | − | 0.390238i | ||||
\(793\) | −6.36326 | − | 7.58344i | −0.225966 | − | 0.269296i | ||||
\(794\) | 12.4250 | + | 4.27743i | 0.440946 | + | 0.151800i | ||||
\(795\) | −12.4105 | + | 2.18831i | −0.440155 | + | 0.0776112i | ||||
\(796\) | −14.6217 | − | 36.1776i | −0.518254 | − | 1.28228i | ||||
\(797\) | 32.8715i | 1.16437i | 0.813057 | + | 0.582183i | \(0.197801\pi\) | ||||
−0.813057 | + | 0.582183i | \(0.802199\pi\) | |||||||
\(798\) | 0.111041 | − | 0.116322i | 0.00393081 | − | 0.00411774i | ||||
\(799\) | − | 23.6449i | − | 0.836497i | ||||||
\(800\) | 5.07709 | − | 58.2325i | 0.179502 | − | 2.05883i | ||||
\(801\) | −6.48625 | + | 1.14370i | −0.229180 | + | 0.0404107i | ||||
\(802\) | −0.985811 | + | 2.86356i | −0.0348102 | + | 0.101116i | ||||
\(803\) | −10.8319 | − | 12.9089i | −0.382249 | − | 0.455547i | ||||
\(804\) | −20.5699 | − | 32.9099i | −0.725445 | − | 1.16064i | ||||
\(805\) | 0.0954491 | − | 0.165323i | 0.00336414 | − | 0.00582686i | ||||
\(806\) | −7.12242 | + | 8.79653i | −0.250876 | + | 0.309844i | ||||
\(807\) | 16.0807 | + | 44.1814i | 0.566068 | + | 1.55526i | ||||
\(808\) | −2.20692 | + | 18.0007i | −0.0776393 | + | 0.633263i | ||||
\(809\) | 20.3941 | + | 35.3237i | 0.717020 | + | 1.24191i | 0.962175 | + | 0.272431i | \(0.0878276\pi\) |
−0.245156 | + | 0.969484i | \(0.578839\pi\) | |||||||
\(810\) | 9.71773 | − | 61.3791i | 0.341446 | − | 2.15664i | ||||
\(811\) | 0.919587 | − | 5.21523i | 0.0322911 | − | 0.183132i | −0.964396 | − | 0.264462i | \(-0.914806\pi\) |
0.996687 | + | 0.0813301i | \(0.0259168\pi\) | |||||||
\(812\) | −0.00128761 | + | 0.00916978i | −4.51862e−5 | + | 0.000321796i | ||||
\(813\) | 23.4298 | − | 27.9226i | 0.821719 | − | 0.979287i | ||||
\(814\) | −7.63687 | − | 12.7082i | −0.267672 | − | 0.445421i | ||||
\(815\) | 6.03062 | − | 16.5690i | 0.211243 | − | 0.580386i | ||||
\(816\) | −2.61432 | + | 24.9311i | −0.0915196 | + | 0.872764i | ||||
\(817\) | −9.17345 | − | 33.4703i | −0.320938 | − | 1.17098i | ||||
\(818\) | 12.5378 | + | 32.6562i | 0.438374 | + | 1.14180i | ||||
\(819\) | 0.0485046 | + | 0.0176542i | 0.00169489 | + | 0.000616889i | ||||
\(820\) | −38.5949 | + | 49.4114i | −1.34779 | + | 1.72552i | ||||
\(821\) | −13.1364 | − | 11.0227i | −0.458463 | − | 0.384696i | 0.384102 | − | 0.923291i | \(-0.374511\pi\) |
−0.842565 | + | 0.538595i | \(0.818955\pi\) | |||||||
\(822\) | 3.14991 | − | 5.68338i | 0.109866 | − | 0.198231i | ||||
\(823\) | 50.5398 | + | 8.91153i | 1.76171 | + | 0.310636i | 0.958506 | − | 0.285072i | \(-0.0920176\pi\) |
0.803201 | + | 0.595709i | \(0.203129\pi\) | |||||||
\(824\) | 5.59719 | + | 8.61552i | 0.194987 | + | 0.300136i | ||||
\(825\) | 67.9618 | − | 39.2377i | 2.36613 | − | 1.36608i | ||||
\(826\) | 0.0487111 | + | 0.0560289i | 0.00169488 | + | 0.00194949i | ||||
\(827\) | 34.3316 | − | 12.4957i | 1.19383 | − | 0.434517i | 0.332761 | − | 0.943011i | \(-0.392020\pi\) |
0.861066 | + | 0.508494i | \(0.169797\pi\) | |||||||
\(828\) | −3.20159 | + | 9.85752i | −0.111263 | + | 0.342572i | ||||
\(829\) | 0.294740 | + | 0.170168i | 0.0102367 | + | 0.00591018i | 0.505110 | − | 0.863055i | \(-0.331452\pi\) |
−0.494873 | + | 0.868965i | \(0.664785\pi\) | |||||||
\(830\) | 27.0898 | − | 5.26741i | 0.940300 | − | 0.182834i | ||||
\(831\) | 2.40876 | − | 2.02119i | 0.0835588 | − | 0.0701142i | ||||
\(832\) | 24.6700 | + | 1.71618i | 0.855278 | + | 0.0594977i | ||||
\(833\) | 3.65979 | + | 20.7557i | 0.126804 | + | 0.719142i | ||||
\(834\) | −0.239962 | − | 13.7004i | −0.00830922 | − | 0.474405i | ||||
\(835\) | 2.38669 | 0.0825949 | ||||||||
\(836\) | 31.5486 | − | 4.06047i | 1.09113 | − | 0.140434i | ||||
\(837\) | 8.98720 | 0.310643 | ||||||||
\(838\) | 0.452223 | + | 25.8191i | 0.0156218 | + | 0.891907i | ||||
\(839\) | −0.678584 | − | 3.84844i | −0.0234273 | − | 0.132863i | 0.970851 | − | 0.239684i | \(-0.0770439\pi\) |
−0.994278 | + | 0.106821i | \(0.965933\pi\) | |||||||
\(840\) | −0.112941 | − | 0.265940i | −0.00389685 | − | 0.00917580i | ||||
\(841\) | 22.1108 | − | 18.5531i | 0.762440 | − | 0.639763i | ||||
\(842\) | 3.34795 | − | 0.650983i | 0.115378 | − | 0.0224344i | ||||
\(843\) | 30.6408 | + | 17.6905i | 1.05533 | + | 0.609293i | ||||
\(844\) | −10.5398 | − | 3.42320i | −0.362796 | − | 0.117831i | ||||
\(845\) | 12.6744 | − | 4.61309i | 0.436011 | − | 0.158695i | ||||
\(846\) | −9.70794 | − | 11.1664i | −0.333766 | − | 0.383907i | ||||
\(847\) | −0.0251077 | + | 0.0144959i | −0.000862709 | + | 0.000498085i | ||||
\(848\) | −3.63411 | + | 5.00445i | −0.124796 | + | 0.171853i | ||||
\(849\) | 59.6591 | + | 10.5195i | 2.04750 | + | 0.361029i | ||||
\(850\) | −21.3291 | + | 38.4841i | −0.731581 | + | 1.31999i | ||||
\(851\) | 8.56143 | + | 7.18389i | 0.293482 | + | 0.246261i | ||||
\(852\) | 39.6533 | + | 30.9729i | 1.35850 | + | 1.06111i | ||||
\(853\) | −39.7032 | − | 14.4508i | −1.35941 | − | 0.494785i | −0.443539 | − | 0.896255i | \(-0.646277\pi\) |
−0.915872 | + | 0.401470i | \(0.868499\pi\) | |||||||
\(854\) | 0.0203455 | + | 0.0529923i | 0.000696208 | + | 0.00181336i | ||||
\(855\) | −18.5528 | + | 13.1493i | −0.634494 | + | 0.449697i | ||||
\(856\) | 5.54777 | − | 10.8930i | 0.189619 | − | 0.372313i | ||||
\(857\) | −12.7400 | + | 35.0028i | −0.435189 | + | 1.19567i | 0.507398 | + | 0.861712i | \(0.330608\pi\) |
−0.942587 | + | 0.333961i | \(0.891615\pi\) | |||||||
\(858\) | 17.1011 | + | 28.4572i | 0.583822 | + | 0.971511i | ||||
\(859\) | −24.2289 | + | 28.8748i | −0.826678 | + | 0.985197i | 0.173322 | + | 0.984865i | \(0.444550\pi\) |
−1.00000 | 0.000331301i | \(0.999895\pi\) | ||||||||
\(860\) | −61.7473 | − | 8.67046i | −2.10556 | − | 0.295660i | ||||
\(861\) | −0.0362667 | + | 0.205679i | −0.00123597 | + | 0.00700951i | ||||
\(862\) | −5.46937 | + | 34.5456i | −0.186288 | + | 1.17663i | ||||
\(863\) | −5.22567 | − | 9.05113i | −0.177884 | − | 0.308104i | 0.763272 | − | 0.646078i | \(-0.223592\pi\) |
−0.941156 | + | 0.337974i | \(0.890258\pi\) | |||||||
\(864\) | −11.2676 | − | 16.0815i | −0.383331 | − | 0.547105i | ||||
\(865\) | −2.73934 | − | 7.52628i | −0.0931404 | − | 0.255901i | ||||
\(866\) | 28.3872 | − | 35.0596i | 0.964636 | − | 1.19137i | ||||
\(867\) | −8.25742 | + | 14.3023i | −0.280437 | + | 0.485731i | ||||
\(868\) | 0.0550344 | − | 0.0343985i | 0.00186799 | − | 0.00116756i | ||||
\(869\) | −2.01064 | − | 2.39618i | −0.0682062 | − | 0.0812849i | ||||
\(870\) | 1.38597 | − | 4.02594i | 0.0469889 | − | 0.136492i | ||||
\(871\) | 28.3811 | − | 5.00435i | 0.961656 | − | 0.169566i | ||||
\(872\) | −31.3840 | − | 33.6431i | −1.06280 | − | 1.13930i | ||||
\(873\) | − | 5.25952i | − | 0.178008i | ||||||
\(874\) | −21.4900 | + | 10.6353i | −0.726909 | + | 0.359743i | ||||
\(875\) | − | 0.261743i | − | 0.00884852i | ||||||
\(876\) | 17.8250 | − | 7.20426i | 0.602251 | − | 0.243409i | ||||
\(877\) | 2.79895 | − | 0.493531i | 0.0945139 | − | 0.0166653i | −0.126191 | − | 0.992006i | \(-0.540275\pi\) |
0.220705 | + | 0.975341i | \(0.429164\pi\) | |||||||
\(878\) | 26.3113 | + | 9.05793i | 0.887963 | + | 0.305690i | ||||
\(879\) | −24.7500 | − | 29.4959i | −0.834798 | − | 0.994873i | ||||
\(880\) | 15.7395 | − | 54.9400i | 0.530579 | − | 1.85203i | ||||
\(881\) | −1.49413 | + | 2.58791i | −0.0503385 | + | 0.0871888i | −0.890097 | − | 0.455772i | \(-0.849363\pi\) |
0.839758 | + | 0.542961i | \(0.182697\pi\) | |||||||
\(882\) | 10.2501 | + | 8.29932i | 0.345137 | + | 0.279452i | ||||
\(883\) | 4.43210 | + | 12.1771i | 0.149152 | + | 0.409792i | 0.991658 | − | 0.128895i | \(-0.0411429\pi\) |
−0.842506 | + | 0.538687i | \(0.818921\pi\) | |||||||
\(884\) | −16.4368 | − | 8.73708i | −0.552830 | − | 0.293860i | ||||
\(885\) | −17.0692 | − | 29.5648i | −0.573777 | − | 0.993810i | ||||
\(886\) | 7.25355 | + | 1.14840i | 0.243688 | + | 0.0385814i | ||||
\(887\) | −9.42179 | + | 53.4336i | −0.316353 | + | 1.79413i | 0.248179 | + | 0.968714i | \(0.420168\pi\) |
−0.564532 | + | 0.825411i | \(0.690943\pi\) | |||||||
\(888\) | 16.4811 | − | 3.80809i | 0.553070 | − | 0.127791i | ||||
\(889\) | 0.0892463 | − | 0.106360i | 0.00299322 | − | 0.00356718i | ||||
\(890\) | −23.4652 | + | 14.1012i | −0.786555 | + | 0.472674i | ||||
\(891\) | 14.0042 | − | 38.4762i | 0.469158 | − | 1.28900i | ||||
\(892\) | 3.52357 | − | 3.17340i | 0.117978 | − | 0.106253i | ||||
\(893\) | 2.78869 | − | 34.1170i | 0.0933201 | − | 1.14168i | ||||
\(894\) | −51.2589 | + | 19.6800i | −1.71435 | + | 0.658197i | ||||
\(895\) | −82.6580 | − | 30.0850i | −2.76295 | − | 1.00563i | ||||
\(896\) | −0.130551 | − | 0.0553508i | −0.00436139 | − | 0.00184914i | ||||
\(897\) | −19.1714 | − | 16.0868i | −0.640116 | − | 0.537121i | ||||
\(898\) | 19.4606 | + | 10.7857i | 0.649409 | + | 0.359923i | ||||
\(899\) | 0.941879 | + | 0.166079i | 0.0314134 | + | 0.00553904i | ||||
\(900\) | 5.72780 | + | 26.9313i | 0.190927 | + | 0.897710i | ||||
\(901\) | 4.03173 | − | 2.32772i | 0.134316 | − | 0.0775475i | ||||
\(902\) | −31.1760 | + | 27.1042i | −1.03805 | + | 0.902471i | ||||
\(903\) | −0.195176 | + | 0.0710383i | −0.00649505 | + | 0.00236401i | ||||
\(904\) | −0.844427 | − | 16.0574i | −0.0280852 | − | 0.534060i | ||||
\(905\) | −85.9864 | − | 49.6443i | −2.85829 | − | 1.65023i | ||||
\(906\) | 6.69686 | + | 34.4413i | 0.222488 | + | 1.14424i | ||||
\(907\) | 38.9250 | − | 32.6620i | 1.29248 | − | 1.08452i | 0.301092 | − | 0.953595i | \(-0.402649\pi\) |
0.991392 | − | 0.130927i | \(-0.0417955\pi\) | |||||||
\(908\) | 49.2990 | − | 1.72748i | 1.63604 | − | 0.0573283i | ||||
\(909\) | −1.48339 | − | 8.41270i | −0.0492008 | − | 0.279032i | ||||
\(910\) | 0.214517 | − | 0.00375728i | 0.00711118 | − | 0.000124553i | ||||
\(911\) | 35.5696 | 1.17847 | 0.589236 | − | 0.807961i | \(-0.299429\pi\) | ||||
0.589236 | + | 0.807961i | \(0.299429\pi\) | |||||||
\(912\) | −6.71257 | + | 35.6645i | −0.222275 | + | 1.18097i | ||||
\(913\) | 18.1833 | 0.601780 | ||||||||
\(914\) | −53.4913 | + | 0.936901i | −1.76933 | + | 0.0309899i | ||||
\(915\) | −4.53243 | − | 25.7047i | −0.149837 | − | 0.849770i | ||||
\(916\) | −34.9892 | + | 1.22605i | −1.15607 | + | 0.0405098i | ||||
\(917\) | −0.137177 | + | 0.115105i | −0.00452998 | + | 0.00380110i | ||||
\(918\) | 2.82114 | + | 14.5089i | 0.0931114 | + | 0.478864i | ||||
\(919\) | −42.9006 | − | 24.7687i | −1.41516 | − | 0.817043i | −0.419292 | − | 0.907851i | \(-0.637722\pi\) |
−0.995868 | + | 0.0908078i | \(0.971055\pi\) | |||||||
\(920\) | 2.26237 | + | 43.0206i | 0.0745882 | + | 1.41835i | ||||
\(921\) | −22.9461 | + | 8.35171i | −0.756101 | + | 0.275198i | ||||
\(922\) | −36.7037 | + | 31.9099i | −1.20877 | + | 1.05090i | ||||
\(923\) | −32.3575 | + | 18.6816i | −1.06506 | + | 0.614913i | ||||
\(924\) | −0.0396026 | − | 0.186206i | −0.00130283 | − | 0.00612572i | ||||
\(925\) | 29.2391 | + | 5.15563i | 0.961374 | + | 0.169516i | ||||
\(926\) | 8.36969 | + | 4.63874i | 0.275045 | + | 0.152438i | ||||
\(927\) | −3.70723 | − | 3.11073i | −0.121761 | − | 0.102170i | ||||
\(928\) | −0.883691 | − | 1.89360i | −0.0290086 | − | 0.0621605i | ||||
\(929\) | 0.176709 | + | 0.0643169i | 0.00579764 | + | 0.00211017i | 0.344917 | − | 0.938633i | \(-0.387907\pi\) |
−0.339120 | + | 0.940743i | \(0.610129\pi\) | |||||||
\(930\) | −27.8598 | + | 10.6963i | −0.913558 | + | 0.350745i | ||||
\(931\) | 2.83273 | + | 30.3798i | 0.0928391 | + | 0.995659i | ||||
\(932\) | 1.54601 | − | 1.39237i | 0.0506414 | − | 0.0456087i | ||||
\(933\) | 12.4831 | − | 34.2971i | 0.408679 | − | 1.12284i | ||||
\(934\) | 47.9943 | − | 28.8418i | 1.57042 | − | 0.943733i | ||||
\(935\) | −27.6517 | + | 32.9540i | −0.904308 | + | 1.07771i | ||||
\(936\) | −11.3495 | + | 2.62239i | −0.370971 | + | 0.0857156i | ||||
\(937\) | −9.10768 | + | 51.6522i | −0.297535 | + | 1.68740i | 0.359182 | + | 0.933268i | \(0.383056\pi\) |
−0.656717 | + | 0.754137i | \(0.728055\pi\) | |||||||
\(938\) | −0.163215 | − | 0.0258407i | −0.00532916 | − | 0.000843728i | ||||
\(939\) | 19.6684 | + | 34.0667i | 0.641855 | + | 1.11172i | ||||
\(940\) | −54.3061 | − | 28.8667i | −1.77127 | − | 0.941529i | ||||
\(941\) | −3.40150 | − | 9.34555i | −0.110886 | − | 0.304656i | 0.871821 | − | 0.489825i | \(-0.162939\pi\) |
−0.982707 | + | 0.185168i | \(0.940717\pi\) | |||||||
\(942\) | −27.7097 | − | 22.4361i | −0.902830 | − | 0.731008i | ||||
\(943\) | 15.5702 | − | 26.9683i | 0.507034 | − | 0.878209i | ||||
\(944\) | −16.1065 | − | 4.61428i | −0.524221 | − | 0.150182i | ||||
\(945\) | −0.109505 | − | 0.130503i | −0.00356219 | − | 0.00424526i | ||||
\(946\) | −38.8460 | − | 13.3731i | −1.26299 | − | 0.434798i | ||||
\(947\) | 4.29338 | − | 0.757039i | 0.139516 | − | 0.0246005i | −0.103454 | − | 0.994634i | \(-0.532989\pi\) |
0.242970 | + | 0.970034i | \(0.421878\pi\) | |||||||
\(948\) | 3.30871 | − | 1.33727i | 0.107462 | − | 0.0434325i | ||||
\(949\) | 14.2765i | 0.463436i | ||||||||
\(950\) | −35.3143 | + | 53.0127i | −1.14575 | + | 1.71996i | ||||
\(951\) | − | 38.5037i | − | 1.24857i | ||||||
\(952\) | 0.0728082 | + | 0.0780491i | 0.00235973 | + | 0.00252959i | ||||
\(953\) | 6.29014 | − | 1.10912i | 0.203758 | − | 0.0359280i | −0.0708377 | − | 0.997488i | \(-0.522567\pi\) |
0.274595 | + | 0.961560i | \(0.411456\pi\) | |||||||
\(954\) | 0.948295 | − | 2.75458i | 0.0307022 | − | 0.0891830i | ||||
\(955\) | 45.9508 | + | 54.7621i | 1.48693 | + | 1.77206i | ||||
\(956\) | −9.86433 | + | 6.16556i | −0.319035 | + | 0.199409i | ||||
\(957\) | 1.40271 | − | 2.42956i | 0.0453432 | − | 0.0785367i | ||||
\(958\) | 5.26812 | − | 6.50638i | 0.170205 | − | 0.210212i | ||||
\(959\) | −0.00946284 | − | 0.0259990i | −0.000305571 | − | 0.000839550i | ||||
\(960\) | 54.0686 | + | 36.4414i | 1.74505 | + | 1.17614i | ||||
\(961\) | 12.1483 | + | 21.0415i | 0.391882 | + | 0.678759i | ||||
\(962\) | −1.96421 | + | 12.4063i | −0.0633286 | + | 0.399996i | ||||
\(963\) | −0.999884 | + | 5.67062i | −0.0322208 | + | 0.182733i | ||||
\(964\) | 21.3493 | + | 2.99784i | 0.687616 | + | 0.0965541i | ||||
\(965\) | 3.62041 | − | 4.31464i | 0.116545 | − | 0.138893i | ||||
\(966\) | 0.0739166 | + | 0.123001i | 0.00237823 | + | 0.00395750i | ||||
\(967\) | −14.2587 | + | 39.1755i | −0.458529 | + | 1.25980i | 0.468051 | + | 0.883702i | \(0.344956\pi\) |
−0.926580 | + | 0.376097i | \(0.877266\pi\) | |||||||
\(968\) | 2.96923 | − | 5.83003i | 0.0954345 | − | 0.187384i | ||||
\(969\) | 15.5404 | − | 22.4659i | 0.499230 | − | 0.721708i | ||||
\(970\) | −7.83565 | − | 20.4089i | −0.251587 | − | 0.655290i | ||||
\(971\) | 40.8739 | + | 14.8769i | 1.31170 | + | 0.477421i | 0.900791 | − | 0.434253i | \(-0.142988\pi\) |
0.410913 | + | 0.911674i | \(0.365210\pi\) | |||||||
\(972\) | 20.4016 | + | 15.9356i | 0.654382 | + | 0.511133i | ||||
\(973\) | −0.0446941 | − | 0.0375028i | −0.00143283 | − | 0.00120228i | ||||
\(974\) | 13.0997 | − | 23.6357i | 0.419740 | − | 0.757338i | ||||
\(975\) | −65.4745 | − | 11.5449i | −2.09686 | − | 0.369733i | ||||
\(976\) | −10.3652 | − | 7.52698i | −0.331783 | − | 0.240933i | ||||
\(977\) | 8.59156 | − | 4.96034i | 0.274868 | − | 0.158695i | −0.356230 | − | 0.934398i | \(-0.615938\pi\) |
0.631098 | + | 0.775703i | \(0.282605\pi\) | |||||||
\(978\) | 8.69642 | + | 10.0029i | 0.278081 | + | 0.319857i | ||||
\(979\) | −16.9500 | + | 6.16929i | −0.541724 | + | 0.197171i | ||||
\(980\) | 52.1384 | + | 16.9339i | 1.66550 | + | 0.540933i | ||||
\(981\) | 18.7683 | + | 10.8359i | 0.599227 | + | 0.345964i | ||||
\(982\) | 14.5485 | − | 2.82885i | 0.464261 | − | 0.0902721i | ||||
\(983\) | −5.76120 | + | 4.83422i | −0.183754 | + | 0.154188i | −0.730025 | − | 0.683421i | \(-0.760491\pi\) |
0.546271 | + | 0.837609i | \(0.316047\pi\) | |||||||
\(984\) | −18.4236 | − | 43.3815i | −0.587322 | − | 1.38295i | ||||
\(985\) | 2.50687 | + | 14.2171i | 0.0798754 | + | 0.452996i | ||||
\(986\) | 0.0275458 | + | 1.57269i | 0.000877237 | + | 0.0500848i | ||||
\(987\) | −0.204866 | −0.00652095 | ||||||||
\(988\) | −22.6860 | − | 14.5452i | −0.721739 | − | 0.462745i | ||||
\(989\) | 30.9689 | 0.984755 | ||||||||
\(990\) | 0.471428 | + | 26.9156i | 0.0149830 | + | 0.855435i | ||||
\(991\) | −6.13760 | − | 34.8080i | −0.194967 | − | 1.10571i | −0.912466 | − | 0.409154i | \(-0.865824\pi\) |
0.717498 | − | 0.696560i | \(-0.245287\pi\) | |||||||
\(992\) | −6.18571 | + | 13.2757i | −0.196396 | + | 0.421503i | ||||
\(993\) | 8.96523 | − | 7.52272i | 0.284503 | − | 0.238726i | ||||
\(994\) | 0.210303 | − | 0.0408918i | 0.00667040 | − | 0.00129701i | ||||
\(995\) | 66.1624 | + | 38.1989i | 2.09749 | + | 1.21099i | ||||
\(996\) | −6.40831 | + | 19.7308i | −0.203055 | + | 0.625194i | ||||
\(997\) | 10.1997 | − | 3.71239i | 0.323028 | − | 0.117573i | −0.175416 | − | 0.984494i | \(-0.556127\pi\) |
0.498444 | + | 0.866922i | \(0.333905\pi\) | |||||||
\(998\) | −37.3577 | − | 42.9699i | −1.18254 | − | 1.36019i | ||||
\(999\) | 8.63747 | − | 4.98685i | 0.273278 | − | 0.157777i |
(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 | 76.2.k.a.15.8 | yes | 48 | |
3.2 | odd | 2 | 684.2.cf.a.91.1 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.15.2 | ✓ | 48 | |
12.11 | even | 2 | 684.2.cf.a.91.7 | 48 | |||
19.14 | odd | 18 | inner | 76.2.k.a.71.2 | yes | 48 | |
57.14 | even | 18 | 684.2.cf.a.451.7 | 48 | |||
76.71 | even | 18 | inner | 76.2.k.a.71.8 | yes | 48 | |
228.71 | odd | 18 | 684.2.cf.a.451.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.15.2 | ✓ | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.15.8 | yes | 48 | 1.1 | even | 1 | trivial | |
76.2.k.a.71.2 | yes | 48 | 19.14 | odd | 18 | inner | |
76.2.k.a.71.8 | yes | 48 | 76.71 | even | 18 | inner | |
684.2.cf.a.91.1 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.91.7 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.451.1 | 48 | 228.71 | odd | 18 | |||
684.2.cf.a.451.7 | 48 | 57.14 | even | 18 |