Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,3,Mod(2,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.h (of order \(54\), degree \(18\), 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: | \(2.20709014132\) |
Analytic rank: | \(0\) |
Dimension: | \(306\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 81.2 |
Dual form | 81.3.h.a.41.3 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.19159 | − | 0.185889i | −1.59579 | − | 0.0929444i | −0.762952 | − | 0.646455i | \(-0.776251\pi\) |
−0.832842 | + | 0.553511i | \(0.813288\pi\) | |||||||
\(3\) | 0.779433 | − | 2.89698i | 0.259811 | − | 0.965659i | ||||
\(4\) | 6.17872 | + | 0.722189i | 1.54468 | + | 0.180547i | ||||
\(5\) | −1.14257 | − | 4.82088i | −0.228514 | − | 0.964175i | −0.959483 | − | 0.281765i | \(-0.909080\pi\) |
0.730970 | − | 0.682410i | \(-0.239068\pi\) | |||||||
\(6\) | −3.02614 | + | 9.10107i | −0.504357 | + | 1.51685i | ||||
\(7\) | 2.64358 | + | 3.55094i | 0.377654 | + | 0.507277i | 0.949793 | − | 0.312879i | \(-0.101294\pi\) |
−0.572139 | + | 0.820157i | \(0.693886\pi\) | |||||||
\(8\) | −6.99198 | − | 1.23288i | −0.873998 | − | 0.154109i | ||||
\(9\) | −7.78497 | − | 4.51600i | −0.864997 | − | 0.501778i | ||||
\(10\) | 2.75046 | + | 15.5986i | 0.275046 | + | 1.55986i | ||||
\(11\) | −7.62467 | − | 7.19350i | −0.693151 | − | 0.653955i | 0.256760 | − | 0.966475i | \(-0.417345\pi\) |
−0.949911 | + | 0.312521i | \(0.898827\pi\) | |||||||
\(12\) | 6.90807 | − | 17.3367i | 0.575672 | − | 1.44473i | ||||
\(13\) | −18.4878 | − | 9.28492i | −1.42214 | − | 0.714225i | −0.439240 | − | 0.898370i | \(-0.644752\pi\) |
−0.982899 | + | 0.184145i | \(0.941048\pi\) | |||||||
\(14\) | −7.77713 | − | 11.8246i | −0.555509 | − | 0.844611i | ||||
\(15\) | −14.8565 | − | 0.447553i | −0.990435 | − | 0.0298368i | ||||
\(16\) | −2.12607 | − | 0.503887i | −0.132879 | − | 0.0314930i | ||||
\(17\) | −7.36388 | + | 20.2321i | −0.433169 | + | 1.19012i | 0.510687 | + | 0.859767i | \(0.329391\pi\) |
−0.943856 | + | 0.330356i | \(0.892831\pi\) | |||||||
\(18\) | 24.0069 | + | 15.8604i | 1.33372 | + | 0.881131i | ||||
\(19\) | 24.2736 | − | 8.83486i | 1.27756 | − | 0.464992i | 0.387933 | − | 0.921688i | \(-0.373189\pi\) |
0.889623 | + | 0.456695i | \(0.150967\pi\) | |||||||
\(20\) | −3.57803 | − | 30.6120i | −0.178902 | − | 1.53060i | ||||
\(21\) | 12.3475 | − | 4.89067i | 0.587976 | − | 0.232889i | ||||
\(22\) | 22.9976 | + | 24.3760i | 1.04535 | + | 1.10800i | ||||
\(23\) | −4.57221 | − | 3.40388i | −0.198792 | − | 0.147995i | 0.493160 | − | 0.869938i | \(-0.335842\pi\) |
−0.691952 | + | 0.721944i | \(0.743249\pi\) | |||||||
\(24\) | −9.02139 | + | 19.2947i | −0.375891 | + | 0.803945i | ||||
\(25\) | 0.405432 | − | 0.203616i | 0.0162173 | − | 0.00814463i | ||||
\(26\) | 57.2795 | + | 33.0703i | 2.20306 | + | 1.27194i | ||||
\(27\) | −19.1506 | + | 19.0330i | −0.709282 | + | 0.704925i | ||||
\(28\) | 13.7695 | + | 23.8495i | 0.491767 | + | 0.851766i | ||||
\(29\) | 8.55301 | − | 13.0042i | 0.294931 | − | 0.448421i | −0.657376 | − | 0.753563i | \(-0.728333\pi\) |
0.952307 | + | 0.305142i | \(0.0987038\pi\) | |||||||
\(30\) | 47.3327 | + | 4.19007i | 1.57776 | + | 0.139669i | ||||
\(31\) | −4.91876 | − | 11.4030i | −0.158670 | − | 0.367837i | 0.820273 | − | 0.571972i | \(-0.193821\pi\) |
−0.978943 | + | 0.204134i | \(0.934562\pi\) | |||||||
\(32\) | 33.8982 | + | 10.1484i | 1.05932 | + | 0.317139i | ||||
\(33\) | −26.7823 | + | 16.4816i | −0.811586 | + | 0.499444i | ||||
\(34\) | 27.2634 | − | 63.2036i | 0.801864 | − | 1.85893i | ||||
\(35\) | 14.0982 | − | 16.8016i | 0.402805 | − | 0.480044i | ||||
\(36\) | −44.8398 | − | 33.5253i | −1.24555 | − | 0.931259i | ||||
\(37\) | −2.09116 | + | 1.75469i | −0.0565178 | + | 0.0474240i | −0.670609 | − | 0.741811i | \(-0.733967\pi\) |
0.614091 | + | 0.789235i | \(0.289523\pi\) | |||||||
\(38\) | −79.1135 | + | 23.6850i | −2.08193 | + | 0.623290i | ||||
\(39\) | −41.3082 | + | 46.3218i | −1.05919 | + | 1.18774i | ||||
\(40\) | 2.04528 | + | 35.1161i | 0.0511320 | + | 0.877903i | ||||
\(41\) | 46.4366 | − | 2.70462i | 1.13260 | − | 0.0659664i | 0.518415 | − | 0.855129i | \(-0.326522\pi\) |
0.614184 | + | 0.789163i | \(0.289485\pi\) | |||||||
\(42\) | −40.3172 | + | 13.3137i | −0.959934 | + | 0.316994i | ||||
\(43\) | −17.6743 | − | 59.0363i | −0.411030 | − | 1.37294i | −0.873726 | − | 0.486419i | \(-0.838303\pi\) |
0.462696 | − | 0.886517i | \(-0.346882\pi\) | |||||||
\(44\) | −41.9156 | − | 49.9531i | −0.952628 | − | 1.13530i | ||||
\(45\) | −12.8762 | + | 42.6902i | −0.286138 | + | 0.948671i | ||||
\(46\) | 13.9599 | + | 11.7137i | 0.303475 | + | 0.254646i | ||||
\(47\) | −20.6167 | − | 8.89317i | −0.438653 | − | 0.189216i | 0.165288 | − | 0.986245i | \(-0.447145\pi\) |
−0.603941 | + | 0.797029i | \(0.706404\pi\) | |||||||
\(48\) | −3.11688 | + | 5.76643i | −0.0649349 | + | 0.120134i | ||||
\(49\) | 8.43268 | − | 28.1671i | 0.172095 | − | 0.574839i | ||||
\(50\) | −1.33182 | + | 0.574492i | −0.0266365 | + | 0.0114898i | ||||
\(51\) | 52.8723 | + | 37.1025i | 1.03671 | + | 0.727501i | ||||
\(52\) | −107.526 | − | 70.7207i | −2.06780 | − | 1.36001i | ||||
\(53\) | 80.0880 | − | 46.2388i | 1.51109 | − | 0.872430i | 0.511177 | − | 0.859475i | \(-0.329210\pi\) |
0.999916 | − | 0.0129550i | \(-0.00412383\pi\) | |||||||
\(54\) | 64.6589 | − | 57.1855i | 1.19739 | − | 1.05899i | ||||
\(55\) | −25.9673 | + | 44.9766i | −0.472132 | + | 0.817757i | ||||
\(56\) | −14.1060 | − | 28.0873i | −0.251893 | − | 0.501559i | ||||
\(57\) | −6.67477 | − | 77.2062i | −0.117101 | − | 1.35449i | ||||
\(58\) | −29.7150 | + | 39.9142i | −0.512328 | + | 0.688176i | ||||
\(59\) | −18.0204 | + | 17.0014i | −0.305431 | + | 0.288160i | −0.823662 | − | 0.567081i | \(-0.808072\pi\) |
0.518230 | + | 0.855241i | \(0.326591\pi\) | |||||||
\(60\) | −91.4712 | − | 13.4945i | −1.52452 | − | 0.224909i | ||||
\(61\) | 114.228 | − | 13.3513i | 1.87259 | − | 0.218874i | 0.897551 | − | 0.440910i | \(-0.145344\pi\) |
0.975039 | + | 0.222035i | \(0.0712700\pi\) | |||||||
\(62\) | 13.5790 | + | 37.3079i | 0.219016 | + | 0.601740i | ||||
\(63\) | −4.54412 | − | 39.5824i | −0.0721289 | − | 0.628292i | ||||
\(64\) | −98.0897 | − | 35.7017i | −1.53265 | − | 0.557840i | ||||
\(65\) | −23.6379 | + | 99.7361i | −0.363660 | + | 1.53440i | ||||
\(66\) | 88.5419 | − | 47.6241i | 1.34154 | − | 0.721577i | ||||
\(67\) | −90.6215 | + | 59.6027i | −1.35256 | + | 0.889592i | −0.998951 | − | 0.0458013i | \(-0.985416\pi\) |
−0.353609 | + | 0.935393i | \(0.615046\pi\) | |||||||
\(68\) | −60.1108 | + | 119.690i | −0.883982 | + | 1.76015i | ||||
\(69\) | −13.4247 | + | 10.5925i | −0.194561 | + | 0.153514i | ||||
\(70\) | −48.1188 | + | 51.0029i | −0.687411 | + | 0.728614i | ||||
\(71\) | 52.3835 | − | 9.23663i | 0.737796 | − | 0.130093i | 0.207893 | − | 0.978152i | \(-0.433339\pi\) |
0.529903 | + | 0.848058i | \(0.322228\pi\) | |||||||
\(72\) | 48.8647 | + | 41.1737i | 0.678676 | + | 0.571857i | ||||
\(73\) | −13.3113 | + | 75.4922i | −0.182347 | + | 1.03414i | 0.746970 | + | 0.664857i | \(0.231508\pi\) |
−0.929317 | + | 0.369282i | \(0.879603\pi\) | |||||||
\(74\) | 7.00029 | − | 5.21152i | 0.0945985 | − | 0.0704260i | ||||
\(75\) | −0.273863 | − | 1.33323i | −0.00365151 | − | 0.0177764i | ||||
\(76\) | 156.360 | − | 37.0580i | 2.05737 | − | 0.487606i | ||||
\(77\) | 5.38730 | − | 46.0913i | 0.0699650 | − | 0.598589i | ||||
\(78\) | 140.450 | − | 140.161i | 1.80064 | − | 1.79694i | ||||
\(79\) | 1.48642 | − | 25.5209i | 0.0188155 | − | 0.323050i | −0.975747 | − | 0.218903i | \(-0.929752\pi\) |
0.994562 | − | 0.104146i | \(-0.0332109\pi\) | |||||||
\(80\) | 10.8252i | 0.135315i | ||||||||
\(81\) | 40.2115 | + | 70.3138i | 0.496438 | + | 0.868072i | ||||
\(82\) | −148.709 | −1.81353 | ||||||||
\(83\) | 39.2142 | + | 2.28397i | 0.472461 | + | 0.0275177i | 0.292724 | − | 0.956197i | \(-0.405438\pi\) |
0.179737 | + | 0.983715i | \(0.442475\pi\) | |||||||
\(84\) | 79.8237 | − | 21.3009i | 0.950283 | − | 0.253582i | ||||
\(85\) | 105.950 | + | 12.3838i | 1.24647 | + | 0.145692i | ||||
\(86\) | 45.4349 | + | 191.705i | 0.528313 | + | 2.22913i | ||||
\(87\) | −31.0065 | − | 34.9138i | −0.356396 | − | 0.401308i | ||||
\(88\) | 44.4428 | + | 59.6971i | 0.505032 | + | 0.678376i | ||||
\(89\) | −116.352 | − | 20.5161i | −1.30733 | − | 0.230518i | −0.523785 | − | 0.851851i | \(-0.675480\pi\) |
−0.783547 | + | 0.621333i | \(0.786591\pi\) | |||||||
\(90\) | 49.0312 | − | 133.856i | 0.544791 | − | 1.48729i | ||||
\(91\) | −15.9037 | − | 90.1945i | −0.174766 | − | 0.991149i | ||||
\(92\) | −25.7922 | − | 24.3336i | −0.280349 | − | 0.264496i | ||||
\(93\) | −36.8680 | + | 5.36169i | −0.396430 | + | 0.0576526i | ||||
\(94\) | 64.1468 | + | 32.2158i | 0.682413 | + | 0.342721i | ||||
\(95\) | −70.3260 | − | 106.925i | −0.740273 | − | 1.12553i | ||||
\(96\) | 55.8212 | − | 90.2922i | 0.581471 | − | 0.940544i | ||||
\(97\) | 128.810 | + | 30.5285i | 1.32794 | + | 0.314727i | 0.832552 | − | 0.553947i | \(-0.186879\pi\) |
0.495385 | + | 0.868674i | \(0.335027\pi\) | |||||||
\(98\) | −32.1496 | + | 88.3302i | −0.328057 | + | 0.901329i | ||||
\(99\) | 26.8719 | + | 90.4342i | 0.271434 | + | 0.913476i | ||||
\(100\) | 2.65210 | − | 0.965287i | 0.0265210 | − | 0.00965287i | ||||
\(101\) | −9.28869 | − | 79.4698i | −0.0919672 | − | 0.786830i | −0.957985 | − | 0.286817i | \(-0.907403\pi\) |
0.866018 | − | 0.500012i | \(-0.166671\pi\) | |||||||
\(102\) | −161.850 | − | 128.244i | −1.58676 | − | 1.25730i | ||||
\(103\) | −36.0692 | − | 38.2311i | −0.350186 | − | 0.371176i | 0.528206 | − | 0.849116i | \(-0.322865\pi\) |
−0.878392 | + | 0.477940i | \(0.841383\pi\) | |||||||
\(104\) | 117.819 | + | 87.7132i | 1.13288 | + | 0.843396i | ||||
\(105\) | −37.6852 | − | 53.9378i | −0.358906 | − | 0.513693i | ||||
\(106\) | −264.203 | + | 132.688i | −2.49248 | + | 1.25177i | ||||
\(107\) | −18.1741 | − | 10.4928i | −0.169851 | − | 0.0980638i | 0.412664 | − | 0.910883i | \(-0.364598\pi\) |
−0.582516 | + | 0.812819i | \(0.697932\pi\) | |||||||
\(108\) | −132.072 | + | 103.769i | −1.22289 | + | 0.960825i | ||||
\(109\) | 44.6534 | + | 77.3420i | 0.409665 | + | 0.709560i | 0.994852 | − | 0.101338i | \(-0.0323124\pi\) |
−0.585188 | + | 0.810898i | \(0.698979\pi\) | |||||||
\(110\) | 91.2375 | − | 138.720i | 0.829432 | − | 1.26109i | ||||
\(111\) | 3.45338 | + | 7.42570i | 0.0311115 | + | 0.0668982i | ||||
\(112\) | −3.83115 | − | 8.88161i | −0.0342067 | − | 0.0793001i | ||||
\(113\) | −3.39762 | − | 1.01718i | −0.0300675 | − | 0.00900161i | 0.271734 | − | 0.962372i | \(-0.412403\pi\) |
−0.301802 | + | 0.953371i | \(0.597588\pi\) | |||||||
\(114\) | 6.95135 | + | 247.651i | 0.0609768 | + | 2.17238i | ||||
\(115\) | −11.1856 | + | 25.9312i | −0.0972664 | + | 0.225489i | ||||
\(116\) | 62.2382 | − | 74.1726i | 0.536536 | − | 0.639419i | ||||
\(117\) | 101.996 | + | 155.774i | 0.871763 | + | 1.33140i | ||||
\(118\) | 60.6742 | − | 50.9117i | 0.514188 | − | 0.431455i | ||||
\(119\) | −91.3099 | + | 27.3364i | −0.767310 | + | 0.229718i | ||||
\(120\) | 103.325 | + | 21.4455i | 0.861040 | + | 0.178713i | ||||
\(121\) | −0.646456 | − | 11.0992i | −0.00534261 | − | 0.0917291i | ||||
\(122\) | −367.051 | + | 21.3783i | −3.00861 | + | 0.175232i | ||||
\(123\) | 28.3590 | − | 136.634i | 0.230561 | − | 1.11084i | ||||
\(124\) | −22.1565 | − | 74.0080i | −0.178682 | − | 0.596839i | ||||
\(125\) | −81.0609 | − | 96.6046i | −0.648487 | − | 0.772837i | ||||
\(126\) | 7.14503 | + | 127.175i | 0.0567066 | + | 1.00933i | ||||
\(127\) | 7.37660 | + | 6.18970i | 0.0580834 | + | 0.0487378i | 0.671367 | − | 0.741125i | \(-0.265707\pi\) |
−0.613284 | + | 0.789863i | \(0.710152\pi\) | |||||||
\(128\) | 176.462 | + | 76.1184i | 1.37861 | + | 0.594675i | ||||
\(129\) | −184.803 | + | 5.18725i | −1.43258 | + | 0.0402113i | ||||
\(130\) | 93.9822 | − | 313.922i | 0.722940 | − | 2.41479i | ||||
\(131\) | 99.9272 | − | 43.1044i | 0.762803 | − | 0.329041i | 0.0211071 | − | 0.999777i | \(-0.493281\pi\) |
0.741696 | + | 0.670736i | \(0.234022\pi\) | |||||||
\(132\) | −177.383 | + | 82.4936i | −1.34381 | + | 0.624951i | ||||
\(133\) | 95.5411 | + | 62.8384i | 0.718354 | + | 0.472469i | ||||
\(134\) | 300.306 | − | 173.382i | 2.24109 | − | 1.29389i | ||||
\(135\) | 113.636 | + | 70.5763i | 0.841752 | + | 0.522787i | ||||
\(136\) | 76.4317 | − | 132.384i | 0.561998 | − | 0.973409i | ||||
\(137\) | 109.318 | + | 217.670i | 0.797943 | + | 1.58884i | 0.808215 | + | 0.588888i | \(0.200434\pi\) |
−0.0102718 | + | 0.999947i | \(0.503270\pi\) | |||||||
\(138\) | 44.8151 | − | 31.3113i | 0.324747 | − | 0.226894i | ||||
\(139\) | 56.4795 | − | 75.8651i | 0.406327 | − | 0.545792i | −0.551110 | − | 0.834432i | \(-0.685796\pi\) |
0.957438 | + | 0.288640i | \(0.0932031\pi\) | |||||||
\(140\) | 99.2427 | − | 93.6306i | 0.708876 | − | 0.668790i | ||||
\(141\) | −41.8327 | + | 52.7945i | −0.296686 | + | 0.374429i | ||||
\(142\) | −168.904 | + | 19.7420i | −1.18946 | + | 0.139028i | ||||
\(143\) | 74.1722 | + | 203.786i | 0.518687 | + | 1.42508i | ||||
\(144\) | 14.2758 | + | 13.5241i | 0.0991376 | + | 0.0939171i | ||||
\(145\) | −72.4641 | − | 26.3748i | −0.499753 | − | 0.181895i | ||||
\(146\) | 56.5174 | − | 238.466i | 0.387105 | − | 1.63333i | ||||
\(147\) | −75.0268 | − | 46.3837i | −0.510386 | − | 0.315535i | ||||
\(148\) | −14.1879 | + | 9.33153i | −0.0958642 | + | 0.0630509i | ||||
\(149\) | −53.4950 | + | 106.517i | −0.359027 | + | 0.714881i | −0.998547 | − | 0.0538935i | \(-0.982837\pi\) |
0.639520 | + | 0.768774i | \(0.279133\pi\) | |||||||
\(150\) | 0.626225 | + | 4.30604i | 0.00417484 | + | 0.0287069i | ||||
\(151\) | −119.437 | + | 126.595i | −0.790971 | + | 0.838380i | −0.989920 | − | 0.141630i | \(-0.954766\pi\) |
0.198949 | + | 0.980010i | \(0.436247\pi\) | |||||||
\(152\) | −180.613 | + | 31.8469i | −1.18824 | + | 0.209519i | ||||
\(153\) | 148.696 | − | 124.251i | 0.971867 | − | 0.812097i | ||||
\(154\) | −25.7619 | + | 146.103i | −0.167285 | + | 0.948721i | ||||
\(155\) | −49.3522 | + | 36.7414i | −0.318402 | + | 0.237041i | ||||
\(156\) | −288.685 | + | 256.377i | −1.85055 | + | 1.64344i | ||||
\(157\) | −146.265 | + | 34.6655i | −0.931626 | + | 0.220799i | −0.668287 | − | 0.743904i | \(-0.732972\pi\) |
−0.263339 | + | 0.964703i | \(0.584824\pi\) | |||||||
\(158\) | −9.48811 | + | 81.1759i | −0.0600513 | + | 0.513772i | ||||
\(159\) | −71.5296 | − | 268.053i | −0.449872 | − | 1.68587i | ||||
\(160\) | 10.1934 | − | 175.014i | 0.0637089 | − | 1.09384i | ||||
\(161\) | − | 25.2341i | − | 0.156733i | ||||||
\(162\) | −115.268 | − | 231.888i | −0.711530 | − | 1.43141i | ||||
\(163\) | 23.4367 | 0.143784 | 0.0718918 | − | 0.997412i | \(-0.477096\pi\) | ||||
0.0718918 | + | 0.997412i | \(0.477096\pi\) | |||||||
\(164\) | 288.872 | + | 16.8249i | 1.76141 | + | 0.102591i | ||||
\(165\) | 110.057 | + | 110.283i | 0.667010 | + | 0.668381i | ||||
\(166\) | −124.731 | − | 14.5790i | −0.751392 | − | 0.0878252i | ||||
\(167\) | −61.0756 | − | 257.698i | −0.365722 | − | 1.54310i | −0.775756 | − | 0.631033i | \(-0.782631\pi\) |
0.410034 | − | 0.912070i | \(-0.365517\pi\) | |||||||
\(168\) | −92.3630 | + | 18.9726i | −0.549780 | + | 0.112932i | ||||
\(169\) | 154.669 | + | 207.757i | 0.915203 | + | 1.22933i | ||||
\(170\) | −335.847 | − | 59.2189i | −1.97557 | − | 0.348346i | ||||
\(171\) | −228.867 | − | 40.8404i | −1.33840 | − | 0.238833i | ||||
\(172\) | −66.5692 | − | 377.533i | −0.387030 | − | 2.19496i | ||||
\(173\) | −142.074 | − | 134.040i | −0.821236 | − | 0.774796i | 0.155819 | − | 0.987786i | \(-0.450198\pi\) |
−0.977054 | + | 0.212990i | \(0.931680\pi\) | |||||||
\(174\) | 92.4697 | + | 117.194i | 0.531435 | + | 0.673530i | ||||
\(175\) | 1.79482 | + | 0.901392i | 0.0102561 | + | 0.00515081i | ||||
\(176\) | 12.5858 | + | 19.1358i | 0.0715105 | + | 0.108726i | ||||
\(177\) | 35.2070 | + | 65.4563i | 0.198910 | + | 0.369810i | ||||
\(178\) | 367.535 | + | 87.1075i | 2.06481 | + | 0.489368i | ||||
\(179\) | 29.1486 | − | 80.0851i | 0.162841 | − | 0.447403i | −0.831257 | − | 0.555889i | \(-0.812378\pi\) |
0.994098 | + | 0.108486i | \(0.0346002\pi\) | |||||||
\(180\) | −110.389 | + | 254.472i | −0.613272 | + | 1.41373i | ||||
\(181\) | −25.3144 | + | 9.21367i | −0.139858 | + | 0.0509043i | −0.411001 | − | 0.911635i | \(-0.634821\pi\) |
0.271143 | + | 0.962539i | \(0.412598\pi\) | |||||||
\(182\) | 33.9920 | + | 290.820i | 0.186769 | + | 1.59791i | ||||
\(183\) | 50.3545 | − | 341.323i | 0.275161 | − | 1.86515i | ||||
\(184\) | 27.7722 | + | 29.4368i | 0.150936 | + | 0.159983i | ||||
\(185\) | 10.8484 | + | 8.07636i | 0.0586402 | + | 0.0436560i | ||||
\(186\) | 118.664 | − | 10.2590i | 0.637979 | − | 0.0551557i | ||||
\(187\) | 201.687 | − | 101.291i | 1.07854 | − | 0.541662i | ||||
\(188\) | −120.962 | − | 69.8376i | −0.643417 | − | 0.371477i | ||||
\(189\) | −118.211 | − | 17.6876i | −0.625456 | − | 0.0935851i | ||||
\(190\) | 204.575 | + | 354.335i | 1.07671 | + | 1.86492i | ||||
\(191\) | −46.6805 | + | 70.9743i | −0.244401 | + | 0.371593i | −0.936767 | − | 0.349953i | \(-0.886198\pi\) |
0.692367 | + | 0.721546i | \(0.256568\pi\) | |||||||
\(192\) | −179.882 | + | 256.337i | −0.936883 | + | 1.33509i | ||||
\(193\) | 113.188 | + | 262.400i | 0.586469 | + | 1.35959i | 0.910487 | + | 0.413537i | \(0.135707\pi\) |
−0.324018 | + | 0.946051i | \(0.605034\pi\) | |||||||
\(194\) | −405.433 | − | 121.379i | −2.08986 | − | 0.625663i | ||||
\(195\) | 270.509 | + | 146.216i | 1.38723 | + | 0.749826i | ||||
\(196\) | 72.4452 | − | 167.947i | 0.369618 | − | 0.856871i | ||||
\(197\) | 158.200 | − | 188.536i | 0.803047 | − | 0.957034i | −0.196678 | − | 0.980468i | \(-0.563015\pi\) |
0.999725 | + | 0.0234338i | \(0.00745990\pi\) | |||||||
\(198\) | −68.9534 | − | 293.624i | −0.348250 | − | 1.48295i | ||||
\(199\) | 126.011 | − | 105.736i | 0.633222 | − | 0.531336i | −0.268707 | − | 0.963222i | \(-0.586596\pi\) |
0.901928 | + | 0.431886i | \(0.142152\pi\) | |||||||
\(200\) | −3.08581 | + | 0.923831i | −0.0154290 | + | 0.00461915i | ||||
\(201\) | 102.034 | + | 308.985i | 0.507633 | + | 1.53724i | ||||
\(202\) | 14.8731 | + | 255.361i | 0.0736293 | + | 1.26417i | ||||
\(203\) | 68.7878 | − | 4.00643i | 0.338856 | − | 0.0197361i | ||||
\(204\) | 299.888 | + | 267.430i | 1.47004 | + | 1.31093i | ||||
\(205\) | −66.0956 | − | 220.775i | −0.322418 | − | 1.07695i | ||||
\(206\) | 108.011 | + | 128.723i | 0.524326 | + | 0.624868i | ||||
\(207\) | 20.2226 | + | 47.1472i | 0.0976935 | + | 0.227764i | ||||
\(208\) | 34.6278 | + | 29.0561i | 0.166480 | + | 0.139693i | ||||
\(209\) | −248.631 | − | 107.249i | −1.18962 | − | 0.513154i | ||||
\(210\) | 110.249 | + | 179.153i | 0.524996 | + | 0.853107i | ||||
\(211\) | −26.1196 | + | 87.2455i | −0.123789 | + | 0.413486i | −0.997310 | − | 0.0733021i | \(-0.976646\pi\) |
0.873520 | + | 0.486788i | \(0.161831\pi\) | |||||||
\(212\) | 528.235 | − | 227.858i | 2.49167 | − | 1.07480i | ||||
\(213\) | 14.0711 | − | 158.953i | 0.0660616 | − | 0.746260i | ||||
\(214\) | 56.0537 | + | 36.8671i | 0.261933 | + | 0.172276i | ||||
\(215\) | −264.412 | + | 152.659i | −1.22983 | + | 0.710040i | ||||
\(216\) | 157.366 | − | 109.468i | 0.728547 | − | 0.506796i | ||||
\(217\) | 27.4881 | − | 47.6108i | 0.126673 | − | 0.219405i | ||||
\(218\) | −128.138 | − | 255.144i | −0.587790 | − | 1.17039i | ||||
\(219\) | 208.324 | + | 97.4037i | 0.951251 | + | 0.444766i | ||||
\(220\) | −192.926 | + | 259.145i | −0.876937 | + | 1.17793i | ||||
\(221\) | 323.995 | − | 305.674i | 1.46604 | − | 1.38314i | ||||
\(222\) | −9.64141 | − | 24.3417i | −0.0434298 | − | 0.109647i | ||||
\(223\) | −201.815 | + | 23.5888i | −0.905002 | + | 0.105780i | −0.555846 | − | 0.831285i | \(-0.687606\pi\) |
−0.349156 | + | 0.937065i | \(0.613532\pi\) | |||||||
\(224\) | 53.5759 | + | 147.199i | 0.239178 | + | 0.657137i | ||||
\(225\) | −4.07581 | − | 0.245790i | −0.0181147 | − | 0.00109240i | ||||
\(226\) | 10.6547 | + | 3.87800i | 0.0471448 | + | 0.0171593i | ||||
\(227\) | −71.7190 | + | 302.606i | −0.315943 | + | 1.33307i | 0.550936 | + | 0.834547i | \(0.314271\pi\) |
−0.866879 | + | 0.498519i | \(0.833877\pi\) | |||||||
\(228\) | 14.5159 | − | 481.856i | 0.0636662 | − | 2.11340i | ||||
\(229\) | −35.9040 | + | 23.6145i | −0.156786 | + | 0.103120i | −0.625478 | − | 0.780242i | \(-0.715096\pi\) |
0.468692 | + | 0.883362i | \(0.344726\pi\) | |||||||
\(230\) | 40.5202 | − | 80.6824i | 0.176175 | − | 0.350793i | ||||
\(231\) | −129.327 | − | 51.5320i | −0.559855 | − | 0.223082i | ||||
\(232\) | −75.8351 | + | 80.3805i | −0.326875 | + | 0.346468i | ||||
\(233\) | −6.91457 | + | 1.21922i | −0.0296763 | + | 0.00523272i | −0.188467 | − | 0.982080i | \(-0.560352\pi\) |
0.158790 | + | 0.987312i | \(0.449241\pi\) | |||||||
\(234\) | −296.573 | − | 516.126i | −1.26741 | − | 2.20567i | ||||
\(235\) | −19.3169 | + | 109.552i | −0.0821996 | + | 0.466177i | ||||
\(236\) | −123.622 | + | 92.0329i | −0.523820 | + | 0.389970i | ||||
\(237\) | −72.7750 | − | 24.1980i | −0.307067 | − | 0.102101i | ||||
\(238\) | 296.505 | − | 70.2730i | 1.24582 | − | 0.295265i | ||||
\(239\) | −11.6552 | + | 99.7168i | −0.0487666 | + | 0.417225i | 0.946700 | + | 0.322116i | \(0.104394\pi\) |
−0.995467 | + | 0.0951091i | \(0.969680\pi\) | |||||||
\(240\) | 31.3605 | + | 8.43754i | 0.130669 | + | 0.0351564i | ||||
\(241\) | 0.460831 | − | 7.91217i | 0.00191216 | − | 0.0328306i | −0.997217 | − | 0.0745523i | \(-0.976247\pi\) |
0.999129 | + | 0.0417217i | \(0.0132843\pi\) | |||||||
\(242\) | 35.5443i | 0.146877i | ||||||||
\(243\) | 235.040 | − | 61.6869i | 0.967242 | − | 0.253855i | ||||
\(244\) | 715.425 | 2.93207 | ||||||||
\(245\) | −145.425 | − | 8.47004i | −0.593572 | − | 0.0345716i | ||||
\(246\) | −115.909 | + | 430.807i | −0.471174 | + | 1.75125i | ||||
\(247\) | −530.796 | − | 62.0411i | −2.14897 | − | 0.251179i | ||||
\(248\) | 20.3334 | + | 85.7935i | 0.0819897 | + | 0.345942i | ||||
\(249\) | 37.1815 | − | 111.823i | 0.149323 | − | 0.449087i | ||||
\(250\) | 240.755 | + | 323.390i | 0.963021 | + | 1.29356i | ||||
\(251\) | −133.576 | − | 23.5530i | −0.532174 | − | 0.0938367i | −0.0988976 | − | 0.995098i | \(-0.531532\pi\) |
−0.433277 | + | 0.901261i | \(0.642643\pi\) | |||||||
\(252\) | 0.509108 | − | 247.850i | 0.00202027 | − | 0.983533i | ||||
\(253\) | 10.3757 | + | 58.8436i | 0.0410107 | + | 0.232583i | ||||
\(254\) | −22.3925 | − | 21.1262i | −0.0881593 | − | 0.0831740i | ||||
\(255\) | 118.457 | − | 297.283i | 0.464536 | − | 1.16582i | ||||
\(256\) | −175.918 | − | 88.3493i | −0.687180 | − | 0.345115i | ||||
\(257\) | 152.893 | + | 232.463i | 0.594914 | + | 0.904523i | 0.999952 | − | 0.00977649i | \(-0.00311200\pi\) |
−0.405038 | + | 0.914300i | \(0.632742\pi\) | |||||||
\(258\) | 590.778 | + | 17.7972i | 2.28984 | + | 0.0689813i | ||||
\(259\) | −11.7589 | − | 2.78692i | −0.0454013 | − | 0.0107603i | ||||
\(260\) | −218.080 | + | 599.171i | −0.838770 | + | 2.30450i | ||||
\(261\) | −125.312 | + | 62.6121i | −0.480123 | + | 0.239893i | ||||
\(262\) | −326.939 | + | 118.996i | −1.24786 | + | 0.454184i | ||||
\(263\) | 15.6938 | + | 134.269i | 0.0596721 | + | 0.510527i | 0.989713 | + | 0.143070i | \(0.0456974\pi\) |
−0.930040 | + | 0.367457i | \(0.880228\pi\) | |||||||
\(264\) | 207.581 | − | 82.2201i | 0.786293 | − | 0.311440i | ||||
\(265\) | −314.418 | − | 333.263i | −1.18648 | − | 1.25760i | ||||
\(266\) | −293.247 | − | 218.314i | −1.10243 | − | 0.820730i | ||||
\(267\) | −150.124 | + | 321.080i | −0.562261 | + | 1.20255i | ||||
\(268\) | −602.969 | + | 302.823i | −2.24989 | + | 1.12994i | ||||
\(269\) | 227.979 | + | 131.624i | 0.847506 | + | 0.489308i | 0.859808 | − | 0.510617i | \(-0.170583\pi\) |
−0.0123028 | + | 0.999924i | \(0.503916\pi\) | |||||||
\(270\) | −349.561 | − | 246.374i | −1.29467 | − | 0.912497i | ||||
\(271\) | −195.961 | − | 339.415i | −0.723104 | − | 1.25245i | −0.959749 | − | 0.280857i | \(-0.909381\pi\) |
0.236645 | − | 0.971596i | \(-0.423952\pi\) | |||||||
\(272\) | 25.8508 | − | 39.3042i | 0.0950397 | − | 0.144501i | ||||
\(273\) | −273.688 | − | 24.2278i | −1.00252 | − | 0.0887466i | ||||
\(274\) | −308.436 | − | 715.035i | −1.12568 | − | 2.60962i | ||||
\(275\) | −4.55600 | − | 1.36398i | −0.0165673 | − | 0.00495991i | ||||
\(276\) | −90.5973 | + | 55.7529i | −0.328251 | + | 0.202003i | ||||
\(277\) | 71.3736 | − | 165.463i | 0.257666 | − | 0.597338i | −0.739451 | − | 0.673210i | \(-0.764915\pi\) |
0.997118 | + | 0.0758725i | \(0.0241742\pi\) | |||||||
\(278\) | −194.362 | + | 231.631i | −0.699143 | + | 0.833206i | ||||
\(279\) | −13.2034 | + | 110.985i | −0.0473240 | + | 0.397795i | ||||
\(280\) | −119.288 | + | 100.095i | −0.426030 | + | 0.357482i | ||||
\(281\) | 90.4215 | − | 27.0704i | 0.321785 | − | 0.0963361i | −0.121837 | − | 0.992550i | \(-0.538879\pi\) |
0.443622 | + | 0.896214i | \(0.353693\pi\) | |||||||
\(282\) | 143.327 | − | 160.722i | 0.508250 | − | 0.569936i | ||||
\(283\) | 10.6972 | + | 183.664i | 0.0377994 | + | 0.648991i | 0.962998 | + | 0.269508i | \(0.0868611\pi\) |
−0.925199 | + | 0.379483i | \(0.876102\pi\) | |||||||
\(284\) | 330.334 | − | 19.2398i | 1.16315 | − | 0.0677456i | ||||
\(285\) | −364.575 | + | 120.392i | −1.27921 | + | 0.422427i | ||||
\(286\) | −198.845 | − | 664.190i | −0.695264 | − | 2.32234i | ||||
\(287\) | 132.363 | + | 157.744i | 0.461194 | + | 0.549630i | ||||
\(288\) | −218.066 | − | 232.090i | −0.757173 | − | 0.805866i | ||||
\(289\) | −133.724 | − | 112.208i | −0.462712 | − | 0.388261i | ||||
\(290\) | 226.373 | + | 97.6477i | 0.780596 | + | 0.336716i | ||||
\(291\) | 188.839 | − | 349.364i | 0.648931 | − | 1.20056i | ||||
\(292\) | −136.767 | + | 456.832i | −0.468379 | + | 1.56449i | ||||
\(293\) | −215.913 | + | 93.1358i | −0.736905 | + | 0.317870i | −0.731246 | − | 0.682114i | \(-0.761061\pi\) |
−0.00565910 | + | 0.999984i | \(0.501801\pi\) | |||||||
\(294\) | 230.832 | + | 161.984i | 0.785144 | + | 0.550966i | ||||
\(295\) | 102.551 | + | 67.4491i | 0.347632 | + | 0.228641i | ||||
\(296\) | 16.7846 | − | 9.69062i | 0.0567049 | − | 0.0327386i | ||||
\(297\) | 282.931 | − | 7.36003i | 0.952629 | − | 0.0247813i | ||||
\(298\) | 190.534 | − | 330.015i | 0.639377 | − | 1.10743i | ||||
\(299\) | 52.9253 | + | 105.383i | 0.177008 | + | 0.352451i | ||||
\(300\) | −0.729278 | − | 8.43546i | −0.00243093 | − | 0.0281182i | ||||
\(301\) | 162.911 | − | 218.827i | 0.541232 | − | 0.727001i | ||||
\(302\) | 404.725 | − | 381.838i | 1.34015 | − | 1.26437i | ||||
\(303\) | −237.462 | − | 35.0322i | −0.783703 | − | 0.115618i | ||||
\(304\) | −56.0590 | + | 6.55236i | −0.184405 | + | 0.0215538i | ||||
\(305\) | −194.878 | − | 535.424i | −0.638946 | − | 1.75549i | ||||
\(306\) | −497.672 | + | 368.917i | −1.62638 | + | 1.20561i | ||||
\(307\) | −123.161 | − | 44.8269i | −0.401175 | − | 0.146016i | 0.133549 | − | 0.991042i | \(-0.457363\pi\) |
−0.534725 | + | 0.845026i | \(0.679585\pi\) | |||||||
\(308\) | 66.5733 | − | 280.895i | 0.216147 | − | 0.911996i | ||||
\(309\) | −138.868 | + | 74.6931i | −0.449412 | + | 0.241725i | ||||
\(310\) | 164.342 | − | 108.089i | 0.530135 | − | 0.348675i | ||||
\(311\) | 0.0923505 | − | 0.183885i | 0.000296947 | − | 0.000591270i | −0.893484 | − | 0.449095i | \(-0.851747\pi\) |
0.893781 | + | 0.448504i | \(0.148043\pi\) | |||||||
\(312\) | 345.935 | − | 272.953i | 1.10877 | − | 0.874850i | ||||
\(313\) | 1.78261 | − | 1.88946i | 0.00569525 | − | 0.00603661i | −0.724520 | − | 0.689254i | \(-0.757938\pi\) |
0.730215 | + | 0.683217i | \(0.239420\pi\) | |||||||
\(314\) | 473.262 | − | 83.4489i | 1.50720 | − | 0.265761i | ||||
\(315\) | −185.630 | + | 67.1322i | −0.589301 | + | 0.213118i | ||||
\(316\) | 27.6151 | − | 156.613i | 0.0873897 | − | 0.495611i | ||||
\(317\) | 316.531 | − | 235.649i | 0.998521 | − | 0.743371i | 0.0318761 | − | 0.999492i | \(-0.489852\pi\) |
0.966645 | + | 0.256121i | \(0.0824444\pi\) | |||||||
\(318\) | 178.465 | + | 868.812i | 0.561211 | + | 2.73211i | ||||
\(319\) | −158.760 | + | 37.6267i | −0.497679 | + | 0.117952i | ||||
\(320\) | −60.0394 | + | 513.670i | −0.187623 | + | 1.60522i | ||||
\(321\) | −44.5630 | + | 44.4715i | −0.138825 | + | 0.138541i | ||||
\(322\) | −4.69073 | + | 80.5367i | −0.0145675 | + | 0.250114i | ||||
\(323\) | 556.164i | 1.72187i | ||||||||
\(324\) | 197.676 | + | 463.490i | 0.610110 | + | 1.43053i | ||||
\(325\) | −9.38611 | −0.0288803 | ||||||||
\(326\) | −74.8003 | − | 4.35662i | −0.229449 | − | 0.0133639i | ||||
\(327\) | 258.863 | − | 69.0771i | 0.791628 | − | 0.211245i | ||||
\(328\) | −328.018 | − | 38.3398i | −1.00006 | − | 0.116890i | ||||
\(329\) | −22.9227 | − | 96.7185i | −0.0696739 | − | 0.293977i | ||||
\(330\) | −330.755 | − | 372.436i | −1.00229 | − | 1.12859i | ||||
\(331\) | 130.209 | + | 174.901i | 0.393381 | + | 0.528402i | 0.954054 | − | 0.299635i | \(-0.0968650\pi\) |
−0.560673 | + | 0.828037i | \(0.689458\pi\) | |||||||
\(332\) | 240.645 | + | 42.4321i | 0.724833 | + | 0.127808i | ||||
\(333\) | 24.2038 | − | 4.21653i | 0.0726840 | − | 0.0126623i | ||||
\(334\) | 147.025 | + | 833.820i | 0.440194 | + | 2.49647i | ||||
\(335\) | 390.878 | + | 368.775i | 1.16680 | + | 1.10082i | ||||
\(336\) | −28.7159 | + | 4.17615i | −0.0854641 | + | 0.0124290i | ||||
\(337\) | 140.220 | + | 70.4212i | 0.416084 | + | 0.208965i | 0.644510 | − | 0.764596i | \(-0.277062\pi\) |
−0.228426 | + | 0.973561i | \(0.573358\pi\) | |||||||
\(338\) | −455.021 | − | 691.826i | −1.34622 | − | 2.04682i | ||||
\(339\) | −5.59497 | + | 9.05002i | −0.0165043 | + | 0.0266962i | ||||
\(340\) | 645.693 | + | 153.032i | 1.89910 | + | 0.450094i | ||||
\(341\) | −44.5233 | + | 122.327i | −0.130567 | + | 0.358730i | ||||
\(342\) | 722.858 | + | 172.889i | 2.11362 | + | 0.505525i | ||||
\(343\) | 326.150 | − | 118.709i | 0.950874 | − | 0.346090i | ||||
\(344\) | 50.7940 | + | 434.571i | 0.147657 | + | 1.26329i | ||||
\(345\) | 66.4037 | + | 52.6162i | 0.192475 | + | 0.152511i | ||||
\(346\) | 428.524 | + | 454.209i | 1.23851 | + | 1.31274i | ||||
\(347\) | 227.682 | + | 169.503i | 0.656144 | + | 0.488481i | 0.872999 | − | 0.487723i | \(-0.162172\pi\) |
−0.216854 | + | 0.976204i | \(0.569580\pi\) | |||||||
\(348\) | −166.366 | − | 238.115i | −0.478063 | − | 0.684239i | ||||
\(349\) | −148.380 | + | 74.5193i | −0.425158 | + | 0.213522i | −0.648495 | − | 0.761219i | \(-0.724601\pi\) |
0.223337 | + | 0.974741i | \(0.428305\pi\) | |||||||
\(350\) | −5.56077 | − | 3.21051i | −0.0158879 | − | 0.00917289i | ||||
\(351\) | 530.773 | − | 174.066i | 1.51217 | − | 0.495914i | ||||
\(352\) | −185.459 | − | 321.225i | −0.526873 | − | 0.912571i | ||||
\(353\) | 146.479 | − | 222.710i | 0.414954 | − | 0.630907i | −0.566170 | − | 0.824289i | \(-0.691575\pi\) |
0.981124 | + | 0.193382i | \(0.0619456\pi\) | |||||||
\(354\) | −100.199 | − | 215.454i | −0.283047 | − | 0.608627i | ||||
\(355\) | −104.380 | − | 241.981i | −0.294029 | − | 0.681637i | ||||
\(356\) | −704.093 | − | 210.792i | −1.97779 | − | 0.592112i | ||||
\(357\) | 8.02300 | + | 285.830i | 0.0224734 | + | 0.800644i | ||||
\(358\) | −107.917 | + | 250.180i | −0.301445 | + | 0.698828i | ||||
\(359\) | 157.361 | − | 187.536i | 0.438333 | − | 0.522385i | −0.500974 | − | 0.865462i | \(-0.667025\pi\) |
0.939307 | + | 0.343078i | \(0.111469\pi\) | |||||||
\(360\) | 142.662 | − | 282.614i | 0.396283 | − | 0.785040i | ||||
\(361\) | 234.609 | − | 196.861i | 0.649887 | − | 0.545320i | ||||
\(362\) | 82.5057 | − | 24.7006i | 0.227916 | − | 0.0682337i | ||||
\(363\) | −32.6581 | − | 6.77833i | −0.0899671 | − | 0.0186731i | ||||
\(364\) | −33.1272 | − | 568.773i | −0.0910089 | − | 1.56256i | ||||
\(365\) | 379.148 | − | 22.0828i | 1.03876 | − | 0.0605009i | ||||
\(366\) | −224.159 | + | 1080.00i | −0.612456 | + | 2.95082i | ||||
\(367\) | −176.540 | − | 589.683i | −0.481034 | − | 1.60677i | −0.762359 | − | 0.647154i | \(-0.775959\pi\) |
0.281325 | − | 0.959612i | \(-0.409226\pi\) | |||||||
\(368\) | 8.00565 | + | 9.54076i | 0.0217545 | + | 0.0259260i | ||||
\(369\) | −373.721 | − | 188.652i | −1.01280 | − | 0.511253i | ||||
\(370\) | −33.1224 | − | 27.7930i | −0.0895200 | − | 0.0751162i | ||||
\(371\) | 375.910 | + | 162.152i | 1.01323 | + | 0.437067i | ||||
\(372\) | −231.669 | + | 6.50276i | −0.622767 | + | 0.0174805i | ||||
\(373\) | −125.193 | + | 418.174i | −0.335638 | + | 1.12111i | 0.609048 | + | 0.793133i | \(0.291552\pi\) |
−0.944686 | + | 0.327976i | \(0.893634\pi\) | |||||||
\(374\) | −662.529 | + | 285.787i | −1.77147 | + | 0.764137i | ||||
\(375\) | −343.043 | + | 159.535i | −0.914781 | + | 0.425426i | ||||
\(376\) | 133.187 | + | 87.5987i | 0.354222 | + | 0.232975i | ||||
\(377\) | −278.870 | + | 161.005i | −0.739707 | + | 0.427070i | ||||
\(378\) | 373.993 | + | 78.4256i | 0.989400 | + | 0.207475i | ||||
\(379\) | −221.611 | + | 383.841i | −0.584725 | + | 1.01277i | 0.410185 | + | 0.912002i | \(0.365464\pi\) |
−0.994910 | + | 0.100771i | \(0.967869\pi\) | |||||||
\(380\) | −357.304 | − | 711.451i | −0.940274 | − | 1.87224i | ||||
\(381\) | 23.6810 | − | 16.5454i | 0.0621548 | − | 0.0434262i | ||||
\(382\) | 162.178 | − | 217.843i | 0.424550 | − | 0.570270i | ||||
\(383\) | −65.9798 | + | 62.2488i | −0.172271 | + | 0.162529i | −0.767549 | − | 0.640991i | \(-0.778524\pi\) |
0.595277 | + | 0.803520i | \(0.297042\pi\) | |||||||
\(384\) | 358.054 | − | 451.878i | 0.932432 | − | 1.17677i | ||||
\(385\) | −228.356 | + | 26.6910i | −0.593132 | + | 0.0693272i | ||||
\(386\) | −312.474 | − | 858.514i | −0.809517 | − | 2.22413i | ||||
\(387\) | −129.014 | + | 539.413i | −0.333369 | + | 1.39383i | ||||
\(388\) | 773.833 | + | 281.652i | 1.99441 | + | 0.725908i | ||||
\(389\) | −63.5582 | + | 268.173i | −0.163389 | + | 0.689391i | 0.828252 | + | 0.560357i | \(0.189336\pi\) |
−0.991640 | + | 0.129034i | \(0.958812\pi\) | |||||||
\(390\) | −836.174 | − | 516.946i | −2.14404 | − | 1.32550i | ||||
\(391\) | 102.537 | − | 67.4395i | 0.262242 | − | 0.172480i | ||||
\(392\) | −93.6877 | + | 186.547i | −0.238999 | + | 0.475886i | ||||
\(393\) | −46.9859 | − | 323.084i | −0.119557 | − | 0.822097i | ||||
\(394\) | −539.957 | + | 572.321i | −1.37045 | + | 1.45259i | ||||
\(395\) | −124.732 | + | 21.9935i | −0.315776 | + | 0.0556798i | ||||
\(396\) | 100.724 | + | 578.174i | 0.254353 | + | 1.46004i | ||||
\(397\) | 70.2814 | − | 398.586i | 0.177031 | − | 1.00399i | −0.758742 | − | 0.651392i | \(-0.774186\pi\) |
0.935773 | − | 0.352603i | \(-0.114703\pi\) | |||||||
\(398\) | −421.831 | + | 314.041i | −1.05988 | + | 0.789048i | ||||
\(399\) | 256.509 | − | 227.802i | 0.642881 | − | 0.570933i | ||||
\(400\) | −0.964576 | + | 0.228609i | −0.00241144 | + | 0.000571522i | ||||
\(401\) | −1.22554 | + | 10.4852i | −0.00305621 | + | 0.0261475i | −0.994680 | − | 0.103009i | \(-0.967153\pi\) |
0.991624 | + | 0.129157i | \(0.0412270\pi\) | |||||||
\(402\) | −268.215 | − | 1005.12i | −0.667201 | − | 2.50030i | ||||
\(403\) | −14.9386 | + | 256.486i | −0.0370685 | + | 0.636442i | ||||
\(404\) | − | 497.730i | − | 1.23200i | ||||||
\(405\) | 293.030 | − | 274.193i | 0.723531 | − | 0.677020i | ||||
\(406\) | −220.287 | −0.542579 | ||||||||
\(407\) | 28.5667 | + | 1.66382i | 0.0701885 | + | 0.00408802i | ||||
\(408\) | −323.939 | − | 324.605i | −0.793969 | − | 0.795601i | ||||
\(409\) | 397.987 | + | 46.5180i | 0.973073 | + | 0.113736i | 0.587747 | − | 0.809045i | \(-0.300015\pi\) |
0.385326 | + | 0.922781i | \(0.374089\pi\) | |||||||
\(410\) | 169.910 | + | 716.908i | 0.414416 | + | 1.74856i | ||||
\(411\) | 715.793 | − | 147.033i | 1.74159 | − | 0.357744i | ||||
\(412\) | −195.251 | − | 262.268i | −0.473911 | − | 0.636573i | ||||
\(413\) | −108.009 | − | 19.0450i | −0.261524 | − | 0.0461138i | ||||
\(414\) | −55.7779 | − | 154.234i | −0.134729 | − | 0.372545i | ||||
\(415\) | −33.7942 | − | 191.657i | −0.0814319 | − | 0.461823i | ||||
\(416\) | −532.475 | − | 502.365i | −1.27999 | − | 1.20761i | ||||
\(417\) | −175.758 | − | 222.752i | −0.421481 | − | 0.534177i | ||||
\(418\) | 773.592 | + | 388.513i | 1.85070 | + | 0.929456i | ||||
\(419\) | 265.129 | + | 403.110i | 0.632767 | + | 0.962076i | 0.999496 | + | 0.0317477i | \(0.0101073\pi\) |
−0.366729 | + | 0.930328i | \(0.619522\pi\) | |||||||
\(420\) | −193.893 | − | 360.483i | −0.461650 | − | 0.858292i | ||||
\(421\) | 31.4876 | + | 7.46269i | 0.0747924 | + | 0.0177261i | 0.267842 | − | 0.963463i | \(-0.413690\pi\) |
−0.193049 | + | 0.981189i | \(0.561838\pi\) | |||||||
\(422\) | 99.5809 | − | 273.596i | 0.235974 | − | 0.648332i | ||||
\(423\) | 120.339 | + | 162.338i | 0.284489 | + | 0.383778i | ||||
\(424\) | −616.980 | + | 224.562i | −1.45514 | + | 0.529628i | ||||
\(425\) | 1.13402 | + | 9.70214i | 0.00266828 | + | 0.0228286i | ||||
\(426\) | −74.4569 | + | 504.698i | −0.174781 | + | 1.18474i | ||||
\(427\) | 349.380 | + | 370.322i | 0.818221 | + | 0.867264i | ||||
\(428\) | −104.715 | − | 77.9574i | −0.244661 | − | 0.182143i | ||||
\(429\) | 648.177 | − | 56.0374i | 1.51090 | − | 0.130623i | ||||
\(430\) | 872.273 | − | 438.072i | 2.02854 | − | 1.01877i | ||||
\(431\) | −32.1074 | − | 18.5372i | −0.0744952 | − | 0.0430098i | 0.462290 | − | 0.886729i | \(-0.347028\pi\) |
−0.536785 | + | 0.843719i | \(0.680361\pi\) | |||||||
\(432\) | 50.3060 | − | 30.8156i | 0.116449 | − | 0.0713325i | ||||
\(433\) | −20.1115 | − | 34.8341i | −0.0464469 | − | 0.0804483i | 0.841867 | − | 0.539685i | \(-0.181456\pi\) |
−0.888314 | + | 0.459236i | \(0.848123\pi\) | |||||||
\(434\) | −96.5811 | + | 146.844i | −0.222537 | + | 0.338351i | ||||
\(435\) | −132.888 | + | 189.370i | −0.305490 | + | 0.435333i | ||||
\(436\) | 220.046 | + | 510.123i | 0.504692 | + | 1.17001i | ||||
\(437\) | −141.057 | − | 42.2296i | −0.322784 | − | 0.0966351i | ||||
\(438\) | −646.778 | − | 349.598i | −1.47666 | − | 0.798168i | ||||
\(439\) | −117.258 | + | 271.834i | −0.267102 | + | 0.619212i | −0.997996 | − | 0.0632792i | \(-0.979844\pi\) |
0.730894 | + | 0.682491i | \(0.239103\pi\) | |||||||
\(440\) | 237.013 | − | 282.461i | 0.538667 | − | 0.641958i | ||||
\(441\) | −192.851 | + | 181.198i | −0.437303 | + | 0.410880i | ||||
\(442\) | −1090.88 | + | 915.358i | −2.46806 | + | 2.07094i | ||||
\(443\) | −47.7176 | + | 14.2857i | −0.107715 | + | 0.0322476i | −0.340207 | − | 0.940351i | \(-0.610497\pi\) |
0.232492 | + | 0.972598i | \(0.425312\pi\) | |||||||
\(444\) | 15.9747 | + | 48.3753i | 0.0359791 | + | 0.108953i | ||||
\(445\) | 34.0352 | + | 584.362i | 0.0764836 | + | 1.31317i | ||||
\(446\) | 648.496 | − | 37.7706i | 1.45403 | − | 0.0846875i | ||||
\(447\) | 266.882 | + | 237.997i | 0.597052 | + | 0.532431i | ||||
\(448\) | −132.533 | − | 442.691i | −0.295833 | − | 0.988150i | ||||
\(449\) | −302.186 | − | 360.131i | −0.673020 | − | 0.802074i | 0.316172 | − | 0.948702i | \(-0.397602\pi\) |
−0.989192 | + | 0.146628i | \(0.953158\pi\) | |||||||
\(450\) | 12.9626 | + | 1.54211i | 0.0288058 | + | 0.00342691i | ||||
\(451\) | −373.519 | − | 313.420i | −0.828202 | − | 0.694944i | ||||
\(452\) | −20.2584 | − | 8.73861i | −0.0448194 | − | 0.0193332i | ||||
\(453\) | 273.651 | + | 444.678i | 0.604087 | + | 0.981629i | ||||
\(454\) | 285.148 | − | 952.462i | 0.628080 | − | 2.09793i | ||||
\(455\) | −416.646 | + | 179.723i | −0.915705 | + | 0.394996i | ||||
\(456\) | −48.5157 | + | 548.053i | −0.106394 | + | 1.20187i | ||||
\(457\) | 684.178 | + | 449.991i | 1.49711 | + | 0.984663i | 0.992623 | + | 0.121243i | \(0.0386880\pi\) |
0.504485 | + | 0.863420i | \(0.331682\pi\) | |||||||
\(458\) | 118.981 | − | 68.6935i | 0.259783 | − | 0.149986i | ||||
\(459\) | −244.054 | − | 527.613i | −0.531708 | − | 1.14948i | ||||
\(460\) | −87.8402 | + | 152.144i | −0.190957 | + | 0.330747i | ||||
\(461\) | −101.335 | − | 201.774i | −0.219815 | − | 0.437687i | 0.756514 | − | 0.653977i | \(-0.226901\pi\) |
−0.976329 | + | 0.216290i | \(0.930604\pi\) | |||||||
\(462\) | 403.178 | + | 188.509i | 0.872679 | + | 0.408029i | ||||
\(463\) | 342.497 | − | 460.054i | 0.739735 | − | 0.993636i | −0.259873 | − | 0.965643i | \(-0.583681\pi\) |
0.999608 | − | 0.0279935i | \(-0.00891178\pi\) | |||||||
\(464\) | −24.7369 | + | 23.3381i | −0.0533124 | + | 0.0502976i | ||||
\(465\) | 67.9722 | + | 171.610i | 0.146177 | + | 0.369053i | ||||
\(466\) | 22.2951 | − | 2.60592i | 0.0478435 | − | 0.00559211i | ||||
\(467\) | −215.780 | − | 592.850i | −0.462055 | − | 1.26949i | −0.923937 | − | 0.382544i | \(-0.875048\pi\) |
0.461882 | − | 0.886941i | \(-0.347174\pi\) | |||||||
\(468\) | 517.709 | + | 1036.14i | 1.10621 | + | 2.21398i | ||||
\(469\) | −451.211 | − | 164.227i | −0.962069 | − | 0.350165i | ||||
\(470\) | 82.0160 | − | 346.053i | 0.174502 | − | 0.736282i | ||||
\(471\) | −13.5787 | + | 450.747i | −0.0288296 | + | 0.956999i | ||||
\(472\) | 146.959 | − | 96.6566i | 0.311354 | − | 0.204781i | ||||
\(473\) | −289.917 | + | 577.272i | −0.612932 | + | 1.22045i | ||||
\(474\) | 227.770 | + | 90.7580i | 0.480527 | + | 0.191473i | ||||
\(475\) | 8.04237 | − | 8.52442i | 0.0169313 | − | 0.0179461i | ||||
\(476\) | −583.921 | + | 102.961i | −1.22672 | + | 0.216305i | ||||
\(477\) | −832.297 | − | 1.70962i | −1.74486 | − | 0.00358410i | ||||
\(478\) | 55.7349 | − | 316.088i | 0.116600 | − | 0.661272i | ||||
\(479\) | 496.933 | − | 369.953i | 1.03744 | − | 0.772345i | 0.0632314 | − | 0.997999i | \(-0.479859\pi\) |
0.974207 | + | 0.225654i | \(0.0724520\pi\) | |||||||
\(480\) | −499.067 | − | 165.942i | −1.03972 | − | 0.345712i | ||||
\(481\) | 54.9531 | − | 13.0241i | 0.114248 | − | 0.0270772i | ||||
\(482\) | −2.94157 | + | 25.1667i | −0.00610284 | + | 0.0522131i | ||||
\(483\) | −73.1025 | − | 19.6683i | −0.151351 | − | 0.0407210i | ||||
\(484\) | 4.02146 | − | 69.0459i | 0.00830881 | − | 0.142657i | ||||
\(485\) | − | 655.857i | − | 1.35228i | ||||||
\(486\) | −761.617 | + | 153.188i | −1.56711 | + | 0.315201i | ||||
\(487\) | 129.604 | 0.266128 | 0.133064 | − | 0.991107i | \(-0.457518\pi\) | ||||
0.133064 | + | 0.991107i | \(0.457518\pi\) | |||||||
\(488\) | −815.141 | − | 47.4765i | −1.67037 | − | 0.0972880i | ||||
\(489\) | 18.2673 | − | 67.8957i | 0.0373565 | − | 0.138846i | ||||
\(490\) | 462.562 | + | 54.0658i | 0.944005 | + | 0.110338i | ||||
\(491\) | 82.4199 | + | 347.757i | 0.167861 | + | 0.708263i | 0.990246 | + | 0.139331i | \(0.0444951\pi\) |
−0.822384 | + | 0.568932i | \(0.807357\pi\) | |||||||
\(492\) | 273.898 | − | 823.742i | 0.556703 | − | 1.67427i | ||||
\(493\) | 200.119 | + | 268.807i | 0.405921 | + | 0.545247i | ||||
\(494\) | 1682.55 | + | 296.679i | 3.40597 | + | 0.600564i | ||||
\(495\) | 405.269 | − | 232.873i | 0.818725 | − | 0.470451i | ||||
\(496\) | 4.71180 | + | 26.7220i | 0.00949960 | + | 0.0538749i | ||||
\(497\) | 171.279 | + | 161.593i | 0.344625 | + | 0.325137i | ||||
\(498\) | −139.455 | + | 349.980i | −0.280029 | + | 0.702771i | ||||
\(499\) | −397.752 | − | 199.759i | −0.797098 | − | 0.400318i | 0.00314360 | − | 0.999995i | \(-0.498999\pi\) |
−0.800242 | + | 0.599677i | \(0.795296\pi\) | |||||||
\(500\) | −431.086 | − | 655.434i | −0.862172 | − | 1.31087i | ||||
\(501\) | −794.151 | − | 23.9238i | −1.58513 | − | 0.0477520i | ||||
\(502\) | 421.941 | + | 100.002i | 0.840519 | + | 0.199207i | ||||
\(503\) | 281.148 | − | 772.447i | 0.558942 | − | 1.53568i | −0.262233 | − | 0.965004i | \(-0.584459\pi\) |
0.821175 | − | 0.570676i | \(-0.193319\pi\) | |||||||
\(504\) | −17.0277 | + | 282.362i | −0.0337852 | + | 0.560241i | ||||
\(505\) | −372.501 | + | 135.579i | −0.737626 | + | 0.268474i | ||||
\(506\) | −22.1766 | − | 189.733i | −0.0438274 | − | 0.374967i | ||||
\(507\) | 722.422 | − | 286.141i | 1.42489 | − | 0.564381i | ||||
\(508\) | 41.1078 | + | 43.5717i | 0.0809209 | + | 0.0857711i | ||||
\(509\) | −5.24825 | − | 3.90718i | −0.0103109 | − | 0.00767619i | 0.591991 | − | 0.805945i | \(-0.298342\pi\) |
−0.602302 | + | 0.798269i | \(0.705750\pi\) | |||||||
\(510\) | −433.326 | + | 926.785i | −0.849659 | + | 1.81722i | ||||
\(511\) | −303.258 | + | 152.302i | −0.593460 | + | 0.298047i | ||||
\(512\) | −120.694 | − | 69.6829i | −0.235731 | − | 0.136100i | ||||
\(513\) | −296.700 | + | 631.191i | −0.578363 | + | 1.23039i | ||||
\(514\) | −444.759 | − | 770.346i | −0.865290 | − | 1.49873i | ||||
\(515\) | −143.096 | + | 217.567i | −0.277856 | + | 0.422460i | ||||
\(516\) | −1145.59 | − | 101.412i | −2.22014 | − | 0.196535i | ||||
\(517\) | 93.2223 | + | 216.114i | 0.180314 | + | 0.418015i | ||||
\(518\) | 37.0116 | + | 11.0805i | 0.0714510 | + | 0.0213910i | ||||
\(519\) | −499.047 | + | 307.110i | −0.961555 | + | 0.591734i | ||||
\(520\) | 288.238 | − | 668.210i | 0.554304 | − | 1.28502i | ||||
\(521\) | −388.456 | + | 462.944i | −0.745597 | + | 0.888568i | −0.996846 | − | 0.0793541i | \(-0.974714\pi\) |
0.251249 | + | 0.967922i | \(0.419159\pi\) | |||||||
\(522\) | 411.583 | − | 176.538i | 0.788473 | − | 0.338195i | ||||
\(523\) | 798.621 | − | 670.122i | 1.52700 | − | 1.28130i | 0.711148 | − | 0.703042i | \(-0.248175\pi\) |
0.815851 | − | 0.578263i | \(-0.196269\pi\) | |||||||
\(524\) | 648.552 | − | 194.164i | 1.23770 | − | 0.370542i | ||||
\(525\) | 4.01026 | − | 4.49698i | 0.00763858 | − | 0.00856568i | ||||
\(526\) | −25.1290 | − | 431.447i | −0.0477737 | − | 0.820242i | ||||
\(527\) | 266.927 | − | 15.5467i | 0.506502 | − | 0.0295004i | ||||
\(528\) | 65.2459 | − | 21.5458i | 0.123572 | − | 0.0408064i | ||||
\(529\) | −142.400 | − | 475.650i | −0.269188 | − | 0.899149i | ||||
\(530\) | 941.541 | + | 1122.09i | 1.77649 | + | 2.11714i | ||||
\(531\) | 217.067 | − | 50.9751i | 0.408789 | − | 0.0959984i | ||||
\(532\) | 544.941 | + | 457.260i | 1.02433 | + | 0.859511i | ||||
\(533\) | −883.623 | − | 381.158i | −1.65783 | − | 0.715117i | ||||
\(534\) | 538.818 | − | 996.848i | 1.00902 | − | 1.86676i | ||||
\(535\) | −29.8194 | + | 99.6039i | −0.0557373 | + | 0.186175i | ||||
\(536\) | 707.106 | − | 305.016i | 1.31923 | − | 0.569060i | ||||
\(537\) | −209.286 | − | 146.864i | −0.389731 | − | 0.273490i | ||||
\(538\) | −703.148 | − | 462.467i | −1.30697 | − | 0.859605i | ||||
\(539\) | −266.916 | + | 154.104i | −0.495207 | + | 0.285908i | ||||
\(540\) | 651.159 | + | 518.138i | 1.20585 | + | 0.959515i | ||||
\(541\) | −214.268 | + | 371.123i | −0.396059 | + | 0.685995i | −0.993236 | − | 0.116115i | \(-0.962956\pi\) |
0.597177 | + | 0.802110i | \(0.296289\pi\) | |||||||
\(542\) | 562.334 | + | 1119.70i | 1.03752 | + | 2.06587i | ||||
\(543\) | 6.96097 | + | 80.5166i | 0.0128195 | + | 0.148281i | ||||
\(544\) | −454.946 | + | 611.099i | −0.836298 | + | 1.12334i | ||||
\(545\) | 321.837 | − | 303.637i | 0.590526 | − | 0.557133i | ||||
\(546\) | 868.994 | + | 128.201i | 1.59156 | + | 0.234800i | ||||
\(547\) | −567.783 | + | 66.3643i | −1.03799 | + | 0.121324i | −0.617980 | − | 0.786194i | \(-0.712049\pi\) |
−0.420014 | + | 0.907518i | \(0.637975\pi\) | |||||||
\(548\) | 518.248 | + | 1423.87i | 0.945707 | + | 2.59831i | ||||
\(549\) | −949.556 | − | 411.914i | −1.72961 | − | 0.750299i | ||||
\(550\) | 14.2873 | + | 5.20016i | 0.0259769 | + | 0.00945483i | ||||
\(551\) | 92.7217 | − | 391.223i | 0.168279 | − | 0.710024i | ||||
\(552\) | 106.924 | − | 57.5115i | 0.193704 | − | 0.104188i | ||||
\(553\) | 94.5528 | − | 62.1883i | 0.170981 | − | 0.112456i | ||||
\(554\) | −258.553 | + | 514.821i | −0.466702 | + | 0.929279i | ||||
\(555\) | 31.8526 | − | 25.1327i | 0.0573922 | − | 0.0452841i | ||||
\(556\) | 403.760 | − | 427.961i | 0.726187 | − | 0.769713i | ||||
\(557\) | −138.926 | + | 24.4964i | −0.249419 | + | 0.0439792i | −0.296960 | − | 0.954890i | \(-0.595973\pi\) |
0.0475410 | + | 0.998869i | \(0.484862\pi\) | |||||||
\(558\) | 62.7707 | − | 351.763i | 0.112492 | − | 0.630400i | ||||
\(559\) | −221.388 | + | 1255.56i | −0.396043 | + | 2.24607i | ||||
\(560\) | −38.4398 | + | 28.6174i | −0.0686425 | + | 0.0511024i | ||||
\(561\) | −136.236 | − | 663.231i | −0.242845 | − | 1.18223i | ||||
\(562\) | −293.620 | + | 69.5893i | −0.522456 | + | 0.123824i | ||||
\(563\) | −14.0991 | + | 120.626i | −0.0250428 | + | 0.214255i | −0.999966 | − | 0.00828807i | \(-0.997362\pi\) |
0.974923 | + | 0.222543i | \(0.0714359\pi\) | |||||||
\(564\) | −296.600 | + | 295.991i | −0.525887 | + | 0.524808i | ||||
\(565\) | −1.02169 | + | 17.5417i | −0.00180830 | + | 0.0310473i | ||||
\(566\) | − | 588.170i | − | 1.03917i | ||||||
\(567\) | −143.378 | + | 328.669i | −0.252872 | + | 0.579663i | ||||
\(568\) | −377.652 | −0.664881 | ||||||||
\(569\) | −138.870 | − | 8.08823i | −0.244059 | − | 0.0142148i | −0.0643207 | − | 0.997929i | \(-0.520488\pi\) |
−0.179738 | + | 0.983714i | \(0.557525\pi\) | |||||||
\(570\) | 1185.95 | − | 316.470i | 2.08062 | − | 0.555210i | ||||
\(571\) | 707.946 | + | 82.7470i | 1.23984 | + | 0.144916i | 0.710623 | − | 0.703573i | \(-0.248413\pi\) |
0.529213 | + | 0.848489i | \(0.322487\pi\) | |||||||
\(572\) | 311.117 | + | 1312.71i | 0.543911 | + | 2.29494i | ||||
\(573\) | 169.227 | + | 190.552i | 0.295334 | + | 0.332552i | ||||
\(574\) | −393.124 | − | 528.058i | −0.684886 | − | 0.919961i | ||||
\(575\) | −2.54680 | − | 0.449070i | −0.00442922 | − | 0.000780992i | ||||
\(576\) | 602.396 | + | 720.910i | 1.04583 | + | 1.25158i | ||||
\(577\) | −141.476 | − | 802.348i | −0.245192 | − | 1.39055i | −0.820047 | − | 0.572296i | \(-0.806053\pi\) |
0.574855 | − | 0.818255i | \(-0.305058\pi\) | |||||||
\(578\) | 405.933 | + | 382.978i | 0.702306 | + | 0.662592i | ||||
\(579\) | 848.391 | − | 123.381i | 1.46527 | − | 0.213093i | ||||
\(580\) | −428.688 | − | 215.295i | −0.739118 | − | 0.371199i | ||||
\(581\) | 95.5557 | + | 145.285i | 0.164468 | + | 0.250061i | ||||
\(582\) | −667.639 | + | 1079.92i | −1.14715 | + | 1.85554i | ||||
\(583\) | −943.263 | − | 223.557i | −1.61795 | − | 0.383460i | ||||
\(584\) | 186.145 | − | 511.429i | 0.318741 | − | 0.875735i | ||||
\(585\) | 634.428 | − | 669.694i | 1.08449 | − | 1.14478i | ||||
\(586\) | 706.418 | − | 257.115i | 1.20549 | − | 0.438763i | ||||
\(587\) | −79.5174 | − | 680.315i | −0.135464 | − | 1.15897i | −0.874404 | − | 0.485198i | \(-0.838747\pi\) |
0.738940 | − | 0.673771i | \(-0.235327\pi\) | |||||||
\(588\) | −430.072 | − | 340.775i | −0.731415 | − | 0.579550i | ||||
\(589\) | −220.139 | − | 233.334i | −0.373751 | − | 0.396153i | ||||
\(590\) | −314.763 | − | 234.333i | −0.533497 | − | 0.397174i | ||||
\(591\) | −422.878 | − | 605.254i | −0.715529 | − | 1.02412i | ||||
\(592\) | 5.33011 | − | 2.67688i | 0.00900356 | − | 0.00452176i | ||||
\(593\) | 190.691 | + | 110.096i | 0.321571 | + | 0.185659i | 0.652092 | − | 0.758139i | \(-0.273891\pi\) |
−0.330522 | + | 0.943798i | \(0.607225\pi\) | |||||||
\(594\) | −904.366 | − | 29.1035i | −1.52250 | − | 0.0489957i | ||||
\(595\) | 236.113 | + | 408.960i | 0.396829 | + | 0.687328i | ||||
\(596\) | −407.456 | + | 619.507i | −0.683651 | + | 1.03944i | ||||
\(597\) | −208.097 | − | 447.466i | −0.348572 | − | 0.749523i | ||||
\(598\) | −149.326 | − | 346.177i | −0.249709 | − | 0.578891i | ||||
\(599\) | −730.782 | − | 218.782i | −1.22000 | − | 0.365245i | −0.388857 | − | 0.921298i | \(-0.627130\pi\) |
−0.831147 | + | 0.556053i | \(0.812315\pi\) | |||||||
\(600\) | 0.271136 | + | 9.65959i | 0.000451894 | + | 0.0160993i | ||||
\(601\) | 214.133 | − | 496.416i | 0.356294 | − | 0.825983i | −0.641950 | − | 0.766747i | \(-0.721874\pi\) |
0.998244 | − | 0.0592364i | \(-0.0188666\pi\) | |||||||
\(602\) | −560.622 | + | 668.123i | −0.931266 | + | 1.10984i | ||||
\(603\) | 974.651 | − | 54.7584i | 1.61634 | − | 0.0908099i | ||||
\(604\) | −829.391 | + | 695.942i | −1.37316 | + | 1.15222i | ||||
\(605\) | −52.7693 | + | 15.7981i | −0.0872220 | + | 0.0261126i | ||||
\(606\) | 751.369 | + | 155.950i | 1.23988 | + | 0.257343i | ||||
\(607\) | −40.1775 | − | 689.821i | −0.0661903 | − | 1.13644i | −0.853914 | − | 0.520415i | \(-0.825777\pi\) |
0.787723 | − | 0.616029i | \(-0.211260\pi\) | |||||||
\(608\) | 912.490 | − | 53.1465i | 1.50081 | − | 0.0874120i | ||||
\(609\) | 42.0089 | − | 202.399i | 0.0689802 | − | 0.332347i | ||||
\(610\) | 522.442 | + | 1745.08i | 0.856463 | + | 2.86079i | ||||
\(611\) | 298.585 | + | 355.840i | 0.488682 | + | 0.582389i | ||||
\(612\) | 1008.48 | − | 660.325i | 1.64785 | − | 1.07896i | ||||
\(613\) | 766.185 | + | 642.906i | 1.24989 | + | 1.04879i | 0.996684 | + | 0.0813747i | \(0.0259311\pi\) |
0.253211 | + | 0.967411i | \(0.418513\pi\) | |||||||
\(614\) | 384.746 | + | 165.963i | 0.626622 | + | 0.270298i | ||||
\(615\) | −691.097 | + | 19.3985i | −1.12373 | + | 0.0315423i | ||||
\(616\) | −94.4928 | + | 315.628i | −0.153397 | + | 0.512383i | ||||
\(617\) | 917.181 | − | 395.633i | 1.48652 | − | 0.641221i | 0.510689 | − | 0.859765i | \(-0.329390\pi\) |
0.975827 | + | 0.218545i | \(0.0701310\pi\) | |||||||
\(618\) | 457.095 | − | 212.576i | 0.739635 | − | 0.343973i | ||||
\(619\) | 94.0903 | + | 61.8842i | 0.152004 | + | 0.0999745i | 0.623233 | − | 0.782037i | \(-0.285819\pi\) |
−0.471229 | + | 0.882011i | \(0.656189\pi\) | |||||||
\(620\) | −331.468 | + | 191.373i | −0.534626 | + | 0.308666i | ||||
\(621\) | 152.347 | − | 21.8362i | 0.245325 | − | 0.0351630i | ||||
\(622\) | −0.328927 | + | 0.569718i | −0.000528821 | + | 0.000915945i | ||||
\(623\) | −234.735 | − | 467.397i | −0.376782 | − | 0.750236i | ||||
\(624\) | 111.165 | − | 77.6686i | 0.178149 | − | 0.124469i | ||||
\(625\) | −366.328 | + | 492.064i | −0.586125 | + | 0.787302i | ||||
\(626\) | −6.04060 | + | 5.69901i | −0.00964951 | + | 0.00910385i | ||||
\(627\) | −504.490 | + | 636.686i | −0.804609 | + | 1.01545i | ||||
\(628\) | −928.768 | + | 108.557i | −1.47893 | + | 0.172862i | ||||
\(629\) | −20.1020 | − | 55.2298i | −0.0319587 | − | 0.0878057i | ||||
\(630\) | 604.933 | − | 179.752i | 0.960211 | − | 0.285320i | ||||
\(631\) | 442.316 | + | 160.990i | 0.700976 | + | 0.255134i | 0.667828 | − | 0.744316i | \(-0.267224\pi\) |
0.0331486 | + | 0.999450i | \(0.489447\pi\) | |||||||
\(632\) | −41.8572 | + | 176.609i | −0.0662297 | + | 0.279445i | ||||
\(633\) | 232.390 | + | 143.670i | 0.367124 | + | 0.226967i | ||||
\(634\) | −1054.04 | + | 693.254i | −1.66253 | + | 1.09346i | ||||
\(635\) | 21.4115 | − | 42.6338i | 0.0337189 | − | 0.0671399i | ||||
\(636\) | −248.377 | − | 1707.88i | −0.390529 | − | 2.68535i | ||||
\(637\) | −417.431 | + | 442.451i | −0.655308 | + | 0.694586i | ||||
\(638\) | 513.690 | − | 90.5774i | 0.805157 | − | 0.141971i | ||||
\(639\) | −449.517 | − | 164.657i | −0.703469 | − | 0.257679i | ||||
\(640\) | 165.337 | − | 937.673i | 0.258339 | − | 1.46511i | ||||
\(641\) | −550.603 | + | 409.909i | −0.858975 | + | 0.639483i | −0.933832 | − | 0.357711i | \(-0.883557\pi\) |
0.0748576 | + | 0.997194i | \(0.476150\pi\) | |||||||
\(642\) | 150.493 | − | 133.651i | 0.234413 | − | 0.208179i | ||||
\(643\) | −564.351 | + | 133.754i | −0.877685 | + | 0.208015i | −0.644673 | − | 0.764459i | \(-0.723006\pi\) |
−0.233012 | + | 0.972474i | \(0.574858\pi\) | |||||||
\(644\) | 18.2238 | − | 155.914i | 0.0282978 | − | 0.242103i | ||||
\(645\) | 236.157 | + | 884.984i | 0.366135 | + | 1.37207i | ||||
\(646\) | 103.385 | − | 1775.05i | 0.160038 | − | 2.74775i | ||||
\(647\) | 1255.74i | 1.94087i | 0.241371 | + | 0.970433i | \(0.422403\pi\) | ||||
−0.241371 | + | 0.970433i | \(0.577597\pi\) | |||||||
\(648\) | −194.470 | − | 541.209i | −0.300108 | − | 0.835199i | ||||
\(649\) | 259.700 | 0.400153 | ||||||||
\(650\) | 29.9566 | + | 1.74477i | 0.0460871 | + | 0.00268427i | ||||
\(651\) | −116.502 | − | 116.742i | −0.178959 | − | 0.179327i | ||||
\(652\) | 144.809 | + | 16.9257i | 0.222100 | + | 0.0259597i | ||||
\(653\) | −83.6949 | − | 353.136i | −0.128170 | − | 0.540791i | −0.998806 | − | 0.0488626i | \(-0.984440\pi\) |
0.870636 | − | 0.491928i | \(-0.163708\pi\) | |||||||
\(654\) | −839.023 | + | 172.346i | −1.28291 | + | 0.263526i | ||||
\(655\) | −321.975 | − | 432.487i | −0.491564 | − | 0.660286i | ||||
\(656\) | −100.090 | − | 17.6486i | −0.152576 | − | 0.0269033i | ||||
\(657\) | 444.551 | − | 527.591i | 0.676638 | − | 0.803030i | ||||
\(658\) | 55.1809 | + | 312.947i | 0.0838616 | + | 0.475603i | ||||
\(659\) | −192.238 | − | 181.367i | −0.291711 | − | 0.275216i | 0.526448 | − | 0.850208i | \(-0.323524\pi\) |
−0.818159 | + | 0.574992i | \(0.805005\pi\) | |||||||
\(660\) | 600.364 | + | 760.889i | 0.909643 | + | 1.15286i | ||||
\(661\) | 646.490 | + | 324.680i | 0.978049 | + | 0.491194i | 0.864661 | − | 0.502356i | \(-0.167533\pi\) |
0.113388 | + | 0.993551i | \(0.463830\pi\) | |||||||
\(662\) | −383.061 | − | 582.416i | −0.578642 | − | 0.879783i | ||||
\(663\) | −632.998 | − | 1176.86i | −0.954748 | − | 1.77505i | ||||
\(664\) | −271.369 | − | 64.3157i | −0.408689 | − | 0.0968611i | ||||
\(665\) | 193.774 | − | 532.389i | 0.291389 | − | 0.800585i | ||||
\(666\) | −78.0322 | + | 8.95823i | −0.117166 | + | 0.0134508i | ||||
\(667\) | −83.3710 | + | 30.3445i | −0.124994 | + | 0.0454941i | ||||
\(668\) | −191.262 | − | 1636.35i | −0.286321 | − | 2.44963i | ||||
\(669\) | −88.9652 | + | 603.041i | −0.132982 | + | 0.901406i | ||||
\(670\) | −1178.97 | − | 1249.64i | −1.75966 | − | 1.86513i | ||||
\(671\) | −966.993 | − | 719.900i | −1.44112 | − | 1.07288i | ||||
\(672\) | 468.190 | − | 40.4768i | 0.696712 | − | 0.0602334i | ||||
\(673\) | 434.026 | − | 217.976i | 0.644912 | − | 0.323887i | −0.0961072 | − | 0.995371i | \(-0.530639\pi\) |
0.741019 | + | 0.671484i | \(0.234343\pi\) | |||||||
\(674\) | −434.435 | − | 250.821i | −0.644562 | − | 0.372138i | ||||
\(675\) | −3.88887 | + | 11.6159i | −0.00576128 | + | 0.0172088i | ||||
\(676\) | 805.619 | + | 1395.37i | 1.19174 | + | 2.06416i | ||||
\(677\) | −0.897293 | + | 1.36427i | −0.00132540 | + | 0.00201517i | −0.836150 | − | 0.548501i | \(-0.815199\pi\) |
0.834825 | + | 0.550516i | \(0.185569\pi\) | |||||||
\(678\) | 19.5391 | − | 27.8439i | 0.0288188 | − | 0.0410677i | ||||
\(679\) | 232.114 | + | 538.101i | 0.341847 | + | 0.792490i | ||||
\(680\) | −725.534 | − | 217.211i | −1.06696 | − | 0.319427i | ||||
\(681\) | 820.743 | + | 443.629i | 1.20520 | + | 0.651438i | ||||
\(682\) | 164.839 | − | 382.140i | 0.241700 | − | 0.560323i | ||||
\(683\) | −749.496 | + | 893.215i | −1.09736 | + | 1.30778i | −0.149617 | + | 0.988744i | \(0.547804\pi\) |
−0.947742 | + | 0.319038i | \(0.896640\pi\) | |||||||
\(684\) | −1384.61 | − | 417.627i | −2.02429 | − | 0.610565i | ||||
\(685\) | 924.459 | − | 775.713i | 1.34957 | − | 1.13243i | ||||
\(686\) | −1063.00 | + | 318.242i | −1.54957 | + | 0.463910i | ||||
\(687\) | 40.4258 | + | 122.419i | 0.0588440 | + | 0.178194i | ||||
\(688\) | 7.82913 | + | 134.421i | 0.0113795 | + | 0.195379i | ||||
\(689\) | −1909.97 | + | 111.243i | −2.77210 | + | 0.161456i | ||||
\(690\) | −202.152 | − | 180.273i | −0.292975 | − | 0.261265i | ||||
\(691\) | 271.988 | + | 908.502i | 0.393614 | + | 1.31476i | 0.893652 | + | 0.448760i | \(0.148134\pi\) |
−0.500038 | + | 0.866004i | \(0.666681\pi\) | |||||||
\(692\) | −781.033 | − | 930.798i | −1.12866 | − | 1.34508i | ||||
\(693\) | −250.088 | + | 334.490i | −0.360878 | + | 0.482670i | ||||
\(694\) | −695.158 | − | 583.307i | −1.00167 | − | 0.840500i | ||||
\(695\) | −430.268 | − | 185.599i | −0.619091 | − | 0.267050i | ||||
\(696\) | 173.752 | + | 282.344i | 0.249644 | + | 0.405666i | ||||
\(697\) | −287.233 | + | 959.425i | −0.412099 | + | 1.37651i | ||||
\(698\) | 487.420 | − | 210.253i | 0.698310 | − | 0.301221i | ||||
\(699\) | −1.85737 | + | 20.9817i | −0.00265719 | + | 0.0300167i | ||||
\(700\) | 10.4387 | + | 6.86565i | 0.0149125 | + | 0.00980808i | ||||
\(701\) | 419.261 | − | 242.061i | 0.598090 | − | 0.345308i | −0.170200 | − | 0.985410i | \(-0.554441\pi\) |
0.768290 | + | 0.640102i | \(0.221108\pi\) | |||||||
\(702\) | −1726.36 | + | 456.881i | −2.45921 | + | 0.650828i | ||||
\(703\) | −35.2574 | + | 61.0676i | −0.0501528 | + | 0.0868672i | ||||
\(704\) | 491.081 | + | 977.822i | 0.697558 | + | 1.38895i | ||||
\(705\) | 302.312 | + | 141.349i | 0.428812 | + | 0.200495i | ||||
\(706\) | −508.899 | + | 683.570i | −0.720820 | + | 0.968230i | ||||
\(707\) | 257.637 | − | 243.068i | 0.364409 | − | 0.343802i | ||||
\(708\) | 170.262 | + | 429.863i | 0.240484 | + | 0.607150i | ||||
\(709\) | 1273.89 | − | 148.897i | 1.79674 | − | 0.210009i | 0.848858 | − | 0.528620i | \(-0.177290\pi\) |
0.947886 | + | 0.318611i | \(0.103216\pi\) | |||||||
\(710\) | 288.158 | + | 791.707i | 0.405856 | + | 1.11508i | ||||
\(711\) | −126.824 | + | 191.967i | −0.178374 | + | 0.269996i | ||||
\(712\) | 788.241 | + | 286.896i | 1.10708 | + | 0.402944i | ||||
\(713\) | −16.3248 | + | 68.8796i | −0.0228959 | + | 0.0966053i | ||||
\(714\) | 27.5265 | − | 913.742i | 0.0385525 | − | 1.27975i | ||||
\(715\) | 897.683 | − | 590.415i | 1.25550 | − | 0.825755i | ||||
\(716\) | 237.938 | − | 473.773i | 0.332315 | − | 0.661694i | ||||
\(717\) | 279.793 | + | 111.487i | 0.390227 | + | 0.155492i | ||||
\(718\) | −537.094 | + | 569.286i | −0.748041 | + | 0.792877i | ||||
\(719\) | −472.826 | + | 83.3719i | −0.657616 | + | 0.115955i | −0.492491 | − | 0.870317i | \(-0.663914\pi\) |
−0.165124 | + | 0.986273i | \(0.552803\pi\) | |||||||
\(720\) | 48.8868 | − | 84.2741i | 0.0678983 | − | 0.117047i | ||||
\(721\) | 40.4047 | − | 229.147i | 0.0560398 | − | 0.317818i | ||||
\(722\) | −785.370 | + | 584.687i | −1.08777 | + | 0.809815i | ||||
\(723\) | −22.5622 | − | 7.50202i | −0.0312064 | − | 0.0103762i | ||||
\(724\) | −163.064 | + | 38.6470i | −0.225227 | + | 0.0533798i | ||||
\(725\) | 0.819803 | − | 7.01386i | 0.00113076 | − | 0.00967429i | ||||
\(726\) | 102.971 | + | 27.7044i | 0.141833 | + | 0.0381603i | ||||
\(727\) | −3.03147 | + | 52.0484i | −0.00416984 | + | 0.0715934i | −0.999751 | − | 0.0223107i | \(-0.992898\pi\) |
0.995581 | + | 0.0939041i | \(0.0299347\pi\) | |||||||
\(728\) | 650.246i | 0.893195i | ||||||||
\(729\) | 4.49227 | − | 728.986i | 0.00616224 | − | 0.999981i | ||||
\(730\) | −1214.19 | −1.66327 | ||||||||
\(731\) | 1324.58 | + | 77.1479i | 1.81201 | + | 0.105537i | ||||
\(732\) | 557.626 | − | 2072.57i | 0.761784 | − | 2.83138i | ||||
\(733\) | 557.332 | + | 65.1427i | 0.760343 | + | 0.0888714i | 0.487424 | − | 0.873166i | \(-0.337937\pi\) |
0.272919 | + | 0.962037i | \(0.412011\pi\) | |||||||
\(734\) | 453.826 | + | 1914.84i | 0.618292 | + | 2.60878i | ||||
\(735\) | −137.887 | + | 414.691i | −0.187601 | + | 0.564206i | ||||
\(736\) | −120.445 | − | 161.786i | −0.163649 | − | 0.219818i | ||||
\(737\) | 1119.71 | + | 197.435i | 1.51928 | + | 0.267890i | ||||
\(738\) | 1157.70 | + | 671.571i | 1.56869 | + | 0.909987i | ||||
\(739\) | 175.676 | + | 996.309i | 0.237721 | + | 1.34819i | 0.836806 | + | 0.547500i | \(0.184420\pi\) |
−0.599084 | + | 0.800686i | \(0.704469\pi\) | |||||||
\(740\) | 61.1968 | + | 57.7362i | 0.0826984 | + | 0.0780219i | ||||
\(741\) | −593.452 | + | 1489.35i | −0.800879 | + | 2.00992i | ||||
\(742\) | −1169.61 | − | 587.399i | −1.57629 | − | 0.791643i | ||||
\(743\) | 27.9386 | + | 42.4785i | 0.0376024 | + | 0.0571716i | 0.853800 | − | 0.520601i | \(-0.174292\pi\) |
−0.816197 | + | 0.577773i | \(0.803922\pi\) | |||||||
\(744\) | 264.391 | + | 7.96476i | 0.355364 | + | 0.0107053i | ||||
\(745\) | 574.628 | + | 136.189i | 0.771313 | + | 0.182805i | ||||
\(746\) | 477.298 | − | 1311.37i | 0.639810 | − | 1.75786i | ||||
\(747\) | −294.967 | − | 194.872i | −0.394869 | − | 0.260873i | ||||
\(748\) | 1319.32 | − | 480.192i | 1.76379 | − | 0.641968i | ||||
\(749\) | −10.7853 | − | 92.2738i | −0.0143995 | − | 0.123196i | ||||
\(750\) | 1124.51 | − | 445.402i | 1.49934 | − | 0.593869i | ||||
\(751\) | −208.467 | − | 220.962i | −0.277586 | − | 0.294224i | 0.573549 | − | 0.819172i | \(-0.305566\pi\) |
−0.851135 | + | 0.524948i | \(0.824085\pi\) | |||||||
\(752\) | 39.3513 | + | 29.2960i | 0.0523289 | + | 0.0389574i | ||||
\(753\) | −172.346 | + | 368.608i | −0.228879 | + | 0.489519i | ||||
\(754\) | 919.966 | − | 462.024i | 1.22011 | − | 0.612764i | ||||
\(755\) | 746.765 | + | 431.145i | 0.989093 | + | 0.571053i | ||||
\(756\) | −717.620 | − | 194.657i | −0.949233 | − | 0.257483i | ||||
\(757\) | −111.434 | − | 193.010i | −0.147205 | − | 0.254967i | 0.782988 | − | 0.622036i | \(-0.213694\pi\) |
−0.930193 | + | 0.367070i | \(0.880361\pi\) | |||||||
\(758\) | 778.642 | − | 1183.87i | 1.02723 | − | 1.56183i | ||||
\(759\) | 178.556 | + | 15.8064i | 0.235252 | + | 0.0208253i | ||||
\(760\) | 359.892 | + | 834.324i | 0.473542 | + | 1.09779i | ||||
\(761\) | 888.457 | + | 265.986i | 1.16749 | + | 0.349522i | 0.811151 | − | 0.584836i | \(-0.198841\pi\) |
0.356334 | + | 0.934359i | \(0.384026\pi\) | |||||||
\(762\) | −78.6555 | + | 48.4040i | −0.103222 | + | 0.0635223i | ||||
\(763\) | −156.592 | + | 363.021i | −0.205232 | + | 0.475782i | ||||
\(764\) | −339.683 | + | 404.818i | −0.444611 | + | 0.529867i | ||||
\(765\) | −768.893 | − | 574.878i | −1.00509 | − | 0.751475i | ||||
\(766\) | 222.152 | − | 186.407i | 0.290015 | − | 0.243352i | ||||
\(767\) | 491.015 | − | 147.000i | 0.640176 | − | 0.191656i | ||||
\(768\) | −393.062 | + | 440.768i | −0.511800 | + | 0.573917i | ||||
\(769\) | −5.13006 | − | 88.0797i | −0.00667108 | − | 0.114538i | 0.993329 | − | 0.115318i | \(-0.0367887\pi\) |
−1.00000 | 0.000780074i | \(0.999752\pi\) | ||||||||
\(770\) | 733.779 | − | 42.7378i | 0.952960 | − | 0.0555036i | ||||
\(771\) | 792.609 | − | 261.739i | 1.02803 | − | 0.339480i | ||||
\(772\) | 509.858 | + | 1703.04i | 0.660437 | + | 2.20601i | ||||
\(773\) | −362.045 | − | 431.468i | −0.468363 | − | 0.558173i | 0.479215 | − | 0.877698i | \(-0.340921\pi\) |
−0.947578 | + | 0.319524i | \(0.896477\pi\) | |||||||
\(774\) | 512.030 | − | 1697.60i | 0.661537 | − | 2.19328i | ||||
\(775\) | −4.31605 | − | 3.62159i | −0.00556909 | − | 0.00467302i | ||||
\(776\) | −862.998 | − | 372.261i | −1.11211 | − | 0.479718i | ||||
\(777\) | −17.2389 | + | 31.8932i | −0.0221865 | + | 0.0410465i | ||||
\(778\) | 252.702 | − | 844.083i | 0.324810 | − | 1.08494i | ||||
\(779\) | 1103.29 | − | 475.911i | 1.41629 | − | 0.610926i | ||||
\(780\) | 1565.81 | + | 1098.79i | 2.00744 | + | 1.40870i | ||||
\(781\) | −465.851 | − | 306.395i | −0.596480 | − | 0.392311i | ||||
\(782\) | −339.791 | + | 196.179i | −0.434516 | + | 0.250868i | ||||
\(783\) | 83.7135 | + | 411.828i | 0.106914 | + | 0.525962i | ||||
\(784\) | −32.1215 | + | 55.6360i | −0.0409713 | + | 0.0709643i | ||||
\(785\) | 334.236 | + | 665.519i | 0.425779 | + | 0.847795i | ||||
\(786\) | 89.9021 | + | 1039.89i | 0.114379 | + | 1.32301i | ||||
\(787\) | 374.157 | − | 502.581i | 0.475422 | − | 0.638603i | −0.498120 | − | 0.867108i | \(-0.665976\pi\) |
0.973543 | + | 0.228505i | \(0.0733836\pi\) | |||||||
\(788\) | 1113.63 | − | 1050.66i | 1.41324 | − | 1.33332i | ||||
\(789\) | 401.206 | + | 59.1889i | 0.508499 | + | 0.0750177i | ||||
\(790\) | 402.180 | − | 47.0081i | 0.509088 | − | 0.0595039i | ||||
\(791\) | −5.36993 | − | 14.7538i | −0.00678879 | − | 0.0186520i | ||||
\(792\) | −76.3940 | − | 665.444i | −0.0964571 | − | 0.840207i | ||||
\(793\) | −2235.79 | − | 813.761i | −2.81941 | − | 1.02618i | ||||
\(794\) | −298.402 | + | 1259.06i | −0.375821 | + | 1.58571i | ||||
\(795\) | −1210.52 | + | 651.105i | −1.52267 | + | 0.818999i | ||||
\(796\) | 854.949 | − | 562.309i | 1.07406 | − | 0.706418i | ||||
\(797\) | 244.328 | − | 486.498i | 0.306560 | − | 0.610412i | −0.686618 | − | 0.727018i | \(-0.740905\pi\) |
0.993178 | + | 0.116607i | \(0.0372018\pi\) | |||||||
\(798\) | −861.018 | + | 679.369i | −1.07897 | + | 0.851339i | ||||
\(799\) | 331.746 | − | 351.631i | 0.415202 | − | 0.440088i | ||||
\(800\) | 15.8098 | − | 2.78769i | 0.0197623 | − | 0.00348462i | ||||
\(801\) | 813.150 | + | 685.165i | 1.01517 | + | 0.855387i | ||||
\(802\) | 5.86049 | − | 33.2365i | 0.00730735 | − | 0.0414420i | ||||
\(803\) | 644.547 | − | 479.848i | 0.802674 | − | 0.597569i | ||||
\(804\) | 407.296 | + | 1982.82i | 0.506588 | + | 2.46619i | ||||
\(805\) | −121.650 | + | 28.8316i | −0.151118 | + | 0.0358157i | ||||
\(806\) | 95.3558 | − | 815.821i | 0.118307 | − | 1.01218i | ||||
\(807\) | 559.005 | − | 557.858i | 0.692696 | − | 0.691274i | ||||
\(808\) | −33.0300 | + | 567.103i | −0.0408787 | + | 0.701860i | ||||
\(809\) | − | 372.469i | − | 0.460407i | −0.973143 | − | 0.230203i | \(-0.926061\pi\) | ||
0.973143 | − | 0.230203i | \(-0.0739391\pi\) | |||||||
\(810\) | −986.200 | + | 820.640i | −1.21753 | + | 1.01314i | ||||
\(811\) | −182.339 | −0.224832 | −0.112416 | − | 0.993661i | \(-0.535859\pi\) | ||||
−0.112416 | + | 0.993661i | \(0.535859\pi\) | |||||||
\(812\) | 427.914 | + | 24.9232i | 0.526988 | + | 0.0306935i | ||||
\(813\) | −1136.02 | + | 303.145i | −1.39731 | + | 0.372872i | ||||
\(814\) | −90.8639 | − | 10.6205i | −0.111626 | − | 0.0130473i | ||||
\(815\) | −26.7781 | − | 112.986i | −0.0328565 | − | 0.138633i | ||||
\(816\) | −93.7145 | − | 105.524i | −0.114846 | − | 0.129319i | ||||
\(817\) | −950.595 | − | 1276.87i | −1.16352 | − | 1.56288i | ||||
\(818\) | −1261.56 | − | 222.447i | −1.54225 | − | 0.271941i | ||||
\(819\) | −283.509 | + | 773.983i | −0.346164 | + | 0.945034i | ||||
\(820\) | −248.945 | − | 1411.84i | −0.303592 | − | 1.72176i | ||||
\(821\) | 38.9026 | + | 36.7027i | 0.0473844 | + | 0.0447049i | 0.709570 | − | 0.704635i | \(-0.248889\pi\) |
−0.662185 | + | 0.749340i | \(0.730371\pi\) | |||||||
\(822\) | −2311.85 | + | 336.211i | −2.81247 | + | 0.409016i | ||||
\(823\) | −1015.23 | − | 509.868i | −1.23357 | − | 0.619523i | −0.292027 | − | 0.956410i | \(-0.594330\pi\) |
−0.941545 | + | 0.336887i | \(0.890626\pi\) | |||||||
\(824\) | 205.061 | + | 311.780i | 0.248860 | + | 0.378374i | ||||
\(825\) | −7.50250 | + | 12.1355i | −0.00909394 | + | 0.0147097i | ||||
\(826\) | 341.181 | + | 80.8615i | 0.413053 | + | 0.0978953i | ||||
\(827\) | −241.982 | + | 664.840i | −0.292602 | + | 0.803918i | 0.703082 | + | 0.711109i | \(0.251807\pi\) |
−0.995684 | + | 0.0928090i | \(0.970415\pi\) | |||||||
\(828\) | 90.9004 | + | 305.914i | 0.109783 | + | 0.369461i | ||||
\(829\) | 744.260 | − | 270.889i | 0.897781 | − | 0.326765i | 0.148418 | − | 0.988925i | \(-0.452582\pi\) |
0.749363 | + | 0.662159i | \(0.230360\pi\) | |||||||
\(830\) | 72.2304 | + | 617.971i | 0.0870246 | + | 0.744543i | ||||
\(831\) | −423.710 | − | 335.735i | −0.509880 | − | 0.404013i | ||||
\(832\) | 1481.98 | + | 1570.80i | 1.78122 | + | 1.88798i | ||||
\(833\) | 507.782 | + | 378.030i | 0.609582 | + | 0.453817i | ||||
\(834\) | 519.539 | + | 743.603i | 0.622948 | + | 0.891610i | ||||
\(835\) | −1172.55 | + | 588.876i | −1.40425 | + | 0.705241i | ||||
\(836\) | −1458.77 | − | 842.221i | −1.74494 | − | 1.00744i | ||||
\(837\) | 311.229 | + | 124.755i | 0.371839 | + | 0.149050i | ||||
\(838\) | −771.250 | − | 1335.84i | −0.920346 | − | 1.59409i | ||||
\(839\) | −824.466 | + | 1253.54i | −0.982677 | + | 1.49409i | −0.117219 | + | 0.993106i | \(0.537398\pi\) |
−0.865458 | + | 0.500981i | \(0.832972\pi\) | |||||||
\(840\) | 196.995 | + | 423.593i | 0.234518 | + | 0.504278i | ||||
\(841\) | 237.147 | + | 549.769i | 0.281983 | + | 0.653709i | ||||
\(842\) | −99.1081 | − | 29.6710i | −0.117706 | − | 0.0352388i | ||||
\(843\) | −7.94494 | − | 283.049i | −0.00942460 | − | 0.335764i | ||||
\(844\) | −224.393 | + | 520.202i | −0.265869 | + | 0.616353i | ||||
\(845\) | 824.850 | − | 983.018i | 0.976154 | − | 1.16334i | ||||
\(846\) | −353.895 | − | 540.486i | −0.418315 | − | 0.638872i | ||||
\(847\) | 37.7037 | − | 31.6372i | 0.0445144 | − | 0.0373520i | ||||
\(848\) | −193.572 | + | 57.9515i | −0.228268 | + | 0.0683390i | ||||
\(849\) | 540.410 | + | 112.164i | 0.636525 | + | 0.132114i | ||||
\(850\) | −1.81580 | − | 31.1760i | −0.00213623 | − | 0.0366777i | ||||
\(851\) | 15.5340 | − | 0.904750i | 0.0182538 | − | 0.00106316i | ||||
\(852\) | 201.736 | − | 971.966i | 0.236779 | − | 1.14081i | ||||
\(853\) | 114.917 | + | 383.851i | 0.134721 | + | 0.450001i | 0.998553 | − | 0.0537803i | \(-0.0171271\pi\) |
−0.863831 | + | 0.503781i | \(0.831942\pi\) | |||||||
\(854\) | −1046.24 | − | 1246.86i | −1.22511 | − | 1.46002i | ||||
\(855\) | 64.6101 | + | 1150.00i | 0.0755674 | + | 1.34503i | ||||
\(856\) | 114.137 | + | 95.7720i | 0.133337 | + | 0.111883i | ||||
\(857\) | −78.7212 | − | 33.9570i | −0.0918567 | − | 0.0396231i | 0.349656 | − | 0.936878i | \(-0.386299\pi\) |
−0.441512 | + | 0.897255i | \(0.645558\pi\) | |||||||
\(858\) | −2079.13 | + | 58.3594i | −2.42323 | + | 0.0680180i | ||||
\(859\) | 413.936 | − | 1382.64i | 0.481881 | − | 1.60959i | −0.278718 | − | 0.960373i | \(-0.589910\pi\) |
0.760599 | − | 0.649222i | \(-0.224905\pi\) | |||||||
\(860\) | −1743.98 | + | 752.279i | −2.02788 | + | 0.874743i | ||||
\(861\) | 560.148 | − | 260.501i | 0.650578 | − | 0.302557i | ||||
\(862\) | 99.0278 | + | 65.1316i | 0.114881 | + | 0.0755587i | ||||
\(863\) | 22.7298 | − | 13.1230i | 0.0263381 | − | 0.0152063i | −0.486773 | − | 0.873528i | \(-0.661826\pi\) |
0.513111 | + | 0.858322i | \(0.328493\pi\) | |||||||
\(864\) | −842.326 | + | 450.834i | −0.974914 | + | 0.521798i | ||||
\(865\) | −483.860 | + | 838.070i | −0.559375 | + | 0.968867i | ||||
\(866\) | 57.7123 | + | 114.915i | 0.0666424 | + | 0.132696i | ||||
\(867\) | −429.292 | + | 299.937i | −0.495146 | + | 0.345948i | ||||
\(868\) | 204.226 | − | 274.323i | 0.235283 | − | 0.316040i | ||||
\(869\) | −194.918 | + | 183.896i | −0.224302 | + | 0.211618i | ||||
\(870\) | 459.326 | − | 579.688i | 0.527961 | − | 0.666308i | ||||
\(871\) | 2228.80 | − | 260.509i | 2.55890 | − | 0.299092i | ||||
\(872\) | −216.863 | − | 595.826i | −0.248696 | − | 0.683287i | ||||
\(873\) | −864.914 | − | 819.369i | −0.990738 | − | 0.938567i | ||||
\(874\) | 442.344 | + | 161.000i | 0.506115 | + | 0.184211i | ||||
\(875\) | 128.747 | − | 543.224i | 0.147139 | − | 0.620828i | ||||
\(876\) | 1216.83 | + | 752.280i | 1.38908 | + | 0.858767i | ||||
\(877\) | −604.040 | + | 397.284i | −0.688758 | + | 0.453003i | −0.845036 | − | 0.534710i | \(-0.820421\pi\) |
0.156278 | + | 0.987713i | \(0.450050\pi\) | |||||||
\(878\) | 424.769 | − | 845.785i | 0.483792 | − | 0.963309i | ||||
\(879\) | 101.523 | + | 698.089i | 0.115498 | + | 0.794185i | ||||
\(880\) | 77.8713 | − | 82.5388i | 0.0884901 | − | 0.0937941i | ||||
\(881\) | 830.463 | − | 146.433i | 0.942637 | − | 0.166212i | 0.318849 | − | 0.947806i | \(-0.396704\pi\) |
0.623788 | + | 0.781593i | \(0.285593\pi\) | |||||||
\(882\) | 649.183 | − | 542.461i | 0.736035 | − | 0.615035i | ||||
\(883\) | 188.153 | − | 1067.07i | 0.213083 | − | 1.20846i | −0.671119 | − | 0.741350i | \(-0.734186\pi\) |
0.884202 | − | 0.467105i | \(-0.154703\pi\) | |||||||
\(884\) | 2222.63 | − | 1654.69i | 2.51429 | − | 1.87182i | ||||
\(885\) | 275.330 | − | 244.517i | 0.311108 | − | 0.276290i | ||||
\(886\) | 154.950 | − | 36.7239i | 0.174887 | − | 0.0414491i | ||||
\(887\) | 22.1789 | − | 189.753i | 0.0250044 | − | 0.213926i | −0.974960 | − | 0.222381i | \(-0.928617\pi\) |
0.999964 | + | 0.00845463i | \(0.00269122\pi\) | |||||||
\(888\) | −14.9910 | − | 56.1779i | −0.0168818 | − | 0.0632635i | ||||
\(889\) | −2.47865 | + | 42.5568i | −0.00278814 | + | 0.0478704i | ||||
\(890\) | − | 1871.37i | − | 2.10266i | ||||||
\(891\) | 199.204 | − | 825.381i | 0.223573 | − | 0.926353i | ||||
\(892\) | −1264.00 | −1.41704 | ||||||||
\(893\) | −579.011 | − | 33.7235i | −0.648388 | − | 0.0377643i | ||||
\(894\) | −807.538 | − | 809.198i | −0.903286 | − | 0.905143i | ||||
\(895\) | −419.385 | − | 49.0191i | −0.468586 | − | 0.0547699i | ||||
\(896\) | 196.200 | + | 827.832i | 0.218973 | + | 0.923920i | ||||
\(897\) | 346.544 | − | 71.1845i | 0.386336 | − | 0.0793584i | ||||
\(898\) | 897.508 | + | 1205.56i | 0.999453 | + | 1.34250i | ||||
\(899\) | −190.357 | − | 33.5650i | −0.211743 | − | 0.0373360i | ||||
\(900\) | −25.0058 | − | 4.46217i | −0.0277842 | − | 0.00495797i | ||||
\(901\) | 345.750 | + | 1960.84i | 0.383740 | + | 2.17630i | ||||
\(902\) | 1133.86 | + | 1069.74i | 1.25705 | + | 1.18596i | ||||
\(903\) | −506.960 | − | 642.511i | −0.561417 | − | 0.711529i | ||||
\(904\) | 22.5021 | + | 11.3010i | 0.0248917 | + | 0.0125011i | ||||
\(905\) | 73.3414 | + | 111.510i | 0.0810402 | + | 0.123216i | ||||
\(906\) | −790.721 | − | 1470.10i | −0.872761 | − | 1.62262i | ||||
\(907\) | −1500.93 | − | 355.726i | −1.65482 | − | 0.392201i | −0.706052 | − | 0.708160i | \(-0.749526\pi\) |
−0.948773 | + | 0.315959i | \(0.897674\pi\) | |||||||
\(908\) | −661.670 | + | 1817.92i | −0.728712 | + | 2.00212i | ||||
\(909\) | −286.573 | + | 660.617i | −0.315262 | + | 0.726752i | ||||
\(910\) | 1363.17 | − | 496.153i | 1.49799 | − | 0.545223i | ||||
\(911\) | −50.6099 | − | 432.995i | −0.0555542 | − | 0.475296i | −0.992166 | − | 0.124927i | \(-0.960130\pi\) |
0.936612 | − | 0.350369i | \(-0.113944\pi\) | |||||||
\(912\) | −24.7122 | + | 167.509i | −0.0270967 | + | 0.183672i | ||||
\(913\) | −282.566 | − | 299.502i | −0.309492 | − | 0.328042i | ||||
\(914\) | −2099.97 | − | 1563.37i | −2.29756 | − | 1.71047i | ||||
\(915\) | −1703.01 | + | 147.232i | −1.86121 | + | 0.160909i | ||||
\(916\) | −238.895 | + | 119.978i | −0.260803 | + | 0.130980i | ||||
\(917\) | 417.227 | + | 240.886i | 0.454991 | + | 0.262689i | ||||
\(918\) | 680.842 | + | 1729.29i | 0.741658 | + | 1.88376i | ||||
\(919\) | 125.340 | + | 217.095i | 0.136387 | + | 0.236230i | 0.926127 | − | 0.377213i | \(-0.123117\pi\) |
−0.789739 | + | 0.613443i | \(0.789784\pi\) | |||||||
\(920\) | 110.180 | − | 167.520i | 0.119761 | − | 0.182087i | ||||
\(921\) | −225.858 | + | 321.855i | −0.245231 | + | 0.349462i | ||||
\(922\) | 285.911 | + | 662.816i | 0.310098 | + | 0.718889i | ||||
\(923\) | −1054.22 | − | 315.612i | −1.14216 | − | 0.341942i | ||||
\(924\) | −761.857 | − | 411.800i | −0.824521 | − | 0.445671i | ||||
\(925\) | −0.490540 | + | 1.13720i | −0.000530314 | + | 0.00122941i | ||||
\(926\) | −1178.63 | + | 1404.63i | −1.27282 | + | 1.51688i | ||||
\(927\) | 108.146 | + | 460.517i | 0.116662 | + | 0.496782i | ||||
\(928\) | 421.904 | − | 354.020i | 0.454638 | − | 0.381487i | ||||
\(929\) | 248.912 | − | 74.5195i | 0.267936 | − | 0.0802147i | −0.150017 | − | 0.988683i | \(-0.547933\pi\) |
0.417953 | + | 0.908469i | \(0.362748\pi\) | |||||||
\(930\) | −185.039 | − | 560.343i | −0.198967 | − | 0.602519i | ||||
\(931\) | −44.1611 | − | 758.218i | −0.0474341 | − | 0.814412i | ||||
\(932\) | −43.6037 | + | 2.53963i | −0.0467851 | + | 0.00272492i | ||||
\(933\) | −0.460730 | − | 0.410863i | −0.000493815 | − | 0.000440368i | ||||
\(934\) | 578.475 | + | 1932.24i | 0.619353 | + | 2.06878i | ||||
\(935\) | −718.751 | − | 856.574i | −0.768718 | − | 0.916122i | ||||
\(936\) | −521.106 | − | 1214.92i | −0.556738 | − | 1.29799i | ||||
\(937\) | −225.234 | − | 188.994i | −0.240378 | − | 0.201701i | 0.514638 | − | 0.857408i | \(-0.327926\pi\) |
−0.755016 | + | 0.655706i | \(0.772371\pi\) | |||||||
\(938\) | 1409.55 | + | 608.021i | 1.50272 | + | 0.648210i | ||||
\(939\) | −4.08430 | − | 6.63690i | −0.00434962 | − | 0.00706805i | ||||
\(940\) | −198.471 | + | 662.939i | −0.211139 | + | 0.705254i | ||||
\(941\) | −1243.25 | + | 536.286i | −1.32120 | + | 0.569911i | −0.935700 | − | 0.352796i | \(-0.885231\pi\) |
−0.385502 | + | 0.922707i | \(0.625972\pi\) | |||||||
\(942\) | 127.126 | − | 1436.07i | 0.134954 | − | 1.52449i | ||||
\(943\) | −221.524 | − | 145.699i | −0.234914 | − | 0.154505i | ||||
\(944\) | 46.8795 | − | 27.0659i | 0.0496605 | − | 0.0286715i | ||||
\(945\) | 49.7946 | + | 590.090i | 0.0526927 | + | 0.624434i | ||||
\(946\) | 1032.60 | − | 1788.52i | 1.09155 | − | 1.89061i | ||||
\(947\) | −701.295 | − | 1396.39i | −0.740544 | − | 1.47454i | −0.875256 | − | 0.483660i | \(-0.839307\pi\) |
0.134712 | − | 0.990885i | \(-0.456989\pi\) | |||||||
\(948\) | −432.181 | − | 202.070i | −0.455887 | − | 0.213154i | ||||
\(949\) | 947.036 | − | 1272.09i | 0.997931 | − | 1.34045i | ||||
\(950\) | −27.2525 | + | 25.7114i | −0.0286869 | + | 0.0270647i | ||||
\(951\) | −435.954 | − | 1100.66i | −0.458417 | − | 1.15737i | ||||
\(952\) | 672.140 | − | 78.5619i | 0.706029 | − | 0.0825230i | ||||
\(953\) | 636.918 | + | 1749.92i | 0.668329 | + | 1.83622i | 0.534405 | + | 0.845228i | \(0.320536\pi\) |
0.133924 | + | 0.990992i | \(0.457242\pi\) | |||||||
\(954\) | 2656.03 | + | 160.171i | 2.78410 | + | 0.167894i | ||||
\(955\) | 395.494 | + | 143.948i | 0.414130 | + | 0.150731i | ||||
\(956\) | −144.029 | + | 607.705i | −0.150658 | + | 0.635675i | ||||
\(957\) | −14.7387 | + | 489.251i | −0.0154009 | + | 0.511234i | ||||
\(958\) | −1654.78 | + | 1088.36i | −1.72732 | + | 1.13608i | ||||
\(959\) | −483.944 | + | 963.611i | −0.504634 | + | 1.00481i | ||||
\(960\) | 1441.29 | + | 574.304i | 1.50135 | + | 0.598234i | ||||
\(961\) | 553.645 | − | 586.829i | 0.576113 | − | 0.610644i | ||||
\(962\) | −177.809 | + | 31.3524i | −0.184832 | + | 0.0325909i | ||||
\(963\) | 94.0992 | + | 163.761i | 0.0977147 | + | 0.170052i | ||||
\(964\) | 8.56143 | − | 48.5543i | 0.00888116 | − | 0.0503675i | ||||
\(965\) | 1135.67 | − | 845.478i | 1.17686 | − | 0.876143i | ||||
\(966\) | 229.657 | + | 76.3619i | 0.237740 | + | 0.0790496i | ||||
\(967\) | 1344.53 | − | 318.660i | 1.39041 | − | 0.329534i | 0.533852 | − | 0.845578i | \(-0.320744\pi\) |
0.856562 | + | 0.516044i | \(0.172596\pi\) | |||||||
\(968\) | −9.16394 | + | 78.4025i | −0.00946688 | + | 0.0809944i | ||||
\(969\) | 1611.19 | + | 433.492i | 1.66274 | + | 0.447360i | ||||
\(970\) | −121.917 | + | 2093.23i | −0.125687 | + | 2.15796i | ||||
\(971\) | 510.161i | 0.525398i | 0.964878 | + | 0.262699i | \(0.0846125\pi\) | ||||
−0.964878 | + | 0.262699i | \(0.915387\pi\) | |||||||
\(972\) | 1496.80 | − | 211.403i | 1.53991 | − | 0.217493i | ||||
\(973\) | 418.701 | 0.430319 | ||||||||
\(974\) | −413.643 | − | 24.0920i | −0.424685 | − | 0.0247351i | ||||
\(975\) | −7.31584 | + | 27.1914i | −0.00750343 | + | 0.0278886i | ||||
\(976\) | −249.584 | − | 29.1722i | −0.255721 | − | 0.0298895i | ||||
\(977\) | 177.519 | + | 749.011i | 0.181698 | + | 0.766644i | 0.985209 | + | 0.171355i | \(0.0548144\pi\) |
−0.803511 | + | 0.595289i | \(0.797037\pi\) | |||||||
\(978\) | −70.9229 | + | 213.299i | −0.0725183 | + | 0.218097i | ||||
\(979\) | 739.566 | + | 993.410i | 0.755430 | + | 1.01472i | ||||
\(980\) | −892.424 | − | 157.358i | −0.910637 | − | 0.160570i | ||||
\(981\) | 1.65100 | − | 803.760i | 0.00168298 | − | 0.819327i | ||||
\(982\) | −198.406 | − | 1125.22i | −0.202043 | − | 1.14584i | ||||
\(983\) | 422.683 | + | 398.781i | 0.429993 | + | 0.405677i | 0.870576 | − | 0.492035i | \(-0.163747\pi\) |
−0.440583 | + | 0.897712i | \(0.645228\pi\) | |||||||
\(984\) | −366.738 | + | 920.378i | −0.372701 | + | 0.935344i | ||||
\(985\) | −1089.66 | − | 547.249i | −1.10626 | − | 0.555583i | ||||
\(986\) | −588.730 | − | 895.120i | −0.597089 | − | 0.907830i | ||||
\(987\) | −298.058 | − | 8.97899i | −0.301984 | − | 0.00909726i | ||||
\(988\) | −3234.84 | − | 766.670i | −3.27413 | − | 0.775982i | ||||
\(989\) | −120.142 | + | 330.087i | −0.121478 | + | 0.333758i | ||||
\(990\) | −1336.74 | + | 667.901i | −1.35024 | + | 0.674648i | ||||
\(991\) | −537.716 | + | 195.712i | −0.542599 | + | 0.197490i | −0.598755 | − | 0.800932i | \(-0.704338\pi\) |
0.0561562 | + | 0.998422i | \(0.482116\pi\) | |||||||
\(992\) | −51.0145 | − | 436.457i | −0.0514260 | − | 0.439977i | ||||
\(993\) | 608.173 | − | 240.889i | 0.612461 | − | 0.242587i | ||||
\(994\) | −516.613 | − | 547.577i | −0.519731 | − | 0.550883i | ||||
\(995\) | −653.716 | − | 486.673i | −0.657001 | − | 0.489119i | ||||
\(996\) | 310.491 | − | 664.069i | 0.311738 | − | 0.666736i | ||||
\(997\) | 235.252 | − | 118.148i | 0.235960 | − | 0.118504i | −0.326890 | − | 0.945062i | \(-0.606001\pi\) |
0.562851 | + | 0.826558i | \(0.309705\pi\) | |||||||
\(998\) | 1232.33 | + | 711.485i | 1.23480 | + | 0.712911i | ||||
\(999\) | 6.65001 | − | 73.4043i | 0.00665666 | − | 0.0734778i |
(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 | 81.3.h.a.2.3 | ✓ | 306 | |
3.2 | odd | 2 | 243.3.h.a.8.15 | 306 | |||
81.40 | even | 27 | 243.3.h.a.152.15 | 306 | |||
81.41 | odd | 54 | inner | 81.3.h.a.41.3 | yes | 306 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.3.h.a.2.3 | ✓ | 306 | 1.1 | even | 1 | trivial | |
81.3.h.a.41.3 | yes | 306 | 81.41 | odd | 54 | inner | |
243.3.h.a.8.15 | 306 | 3.2 | odd | 2 | |||
243.3.h.a.152.15 | 306 | 81.40 | even | 27 |