Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(99,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.u (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 549.3 | ||
Character | \(\chi\) | \(=\) | 950.549 |
Dual form | 950.2.u.f.199.3 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.984808 | + | 0.173648i | 0.696364 | + | 0.122788i | ||||
\(3\) | −1.90555 | + | 2.27095i | −1.10017 | + | 1.31113i | −0.153781 | + | 0.988105i | \(0.549145\pi\) |
−0.946389 | + | 0.323028i | \(0.895299\pi\) | |||||||
\(4\) | 0.939693 | + | 0.342020i | 0.469846 | + | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.27095 | + | 1.90555i | −0.927111 | + | 0.777938i | ||||
\(7\) | 2.51922 | − | 1.45447i | 0.952177 | − | 0.549740i | 0.0584207 | − | 0.998292i | \(-0.481394\pi\) |
0.893757 | + | 0.448552i | \(0.148060\pi\) | |||||||
\(8\) | 0.866025 | + | 0.500000i | 0.306186 | + | 0.176777i | ||||
\(9\) | −1.00513 | − | 5.70040i | −0.335045 | − | 1.90013i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.688430 | + | 1.19240i | −0.207570 | + | 0.359521i | −0.950948 | − | 0.309350i | \(-0.899889\pi\) |
0.743379 | + | 0.668871i | \(0.233222\pi\) | |||||||
\(12\) | −2.56734 | + | 1.48226i | −0.741128 | + | 0.427891i | ||||
\(13\) | 3.44902 | + | 4.11038i | 0.956585 | + | 1.14001i | 0.990070 | + | 0.140575i | \(0.0448951\pi\) |
−0.0334846 | + | 0.999439i | \(0.510660\pi\) | |||||||
\(14\) | 2.73352 | − | 0.994919i | 0.730564 | − | 0.265903i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 5.22100 | + | 0.920603i | 1.26628 | + | 0.223279i | 0.766144 | − | 0.642669i | \(-0.222173\pi\) |
0.500134 | + | 0.865948i | \(0.333284\pi\) | |||||||
\(18\) | − | 5.78833i | − | 1.36432i | ||||||
\(19\) | −2.17069 | + | 3.77996i | −0.497990 | + | 0.867183i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.49748 | + | 8.49261i | −0.326776 | + | 1.85324i | ||||
\(22\) | −0.885029 | + | 1.05474i | −0.188689 | + | 0.224871i | ||||
\(23\) | −0.546254 | + | 1.50082i | −0.113902 | + | 0.312943i | −0.983525 | − | 0.180774i | \(-0.942140\pi\) |
0.869623 | + | 0.493717i | \(0.164362\pi\) | |||||||
\(24\) | −2.78573 | + | 1.01392i | −0.568635 | + | 0.206966i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.68286 | + | 4.64685i | 0.526152 | + | 0.911322i | ||||
\(27\) | 7.15861 | + | 4.13303i | 1.37768 | + | 0.795401i | ||||
\(28\) | 2.86476 | − | 0.505134i | 0.541388 | − | 0.0954613i | ||||
\(29\) | 0.411474 | + | 2.33359i | 0.0764088 | + | 0.433336i | 0.998882 | + | 0.0472746i | \(0.0150536\pi\) |
−0.922473 | + | 0.386061i | \(0.873835\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.50252 | − | 6.06655i | −0.629072 | − | 1.08958i | −0.987738 | − | 0.156119i | \(-0.950102\pi\) |
0.358666 | − | 0.933466i | \(-0.383232\pi\) | |||||||
\(32\) | 0.642788 | + | 0.766044i | 0.113630 | + | 0.135419i | ||||
\(33\) | −1.39603 | − | 3.83556i | −0.243018 | − | 0.667686i | ||||
\(34\) | 4.98182 | + | 1.81323i | 0.854375 | + | 0.310967i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00513 | − | 5.70040i | 0.167522 | − | 0.950066i | ||||
\(37\) | 8.31135i | 1.36638i | 0.730242 | + | 0.683189i | \(0.239407\pi\) | ||||
−0.730242 | + | 0.683189i | \(0.760593\pi\) | |||||||
\(38\) | −2.79409 | + | 3.34560i | −0.453262 | + | 0.542728i | ||||
\(39\) | −15.9067 | −2.54712 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.13497 | − | 5.98695i | −1.11430 | − | 0.935005i | −0.115993 | − | 0.993250i | \(-0.537005\pi\) |
−0.998302 | + | 0.0582455i | \(0.981449\pi\) | |||||||
\(42\) | −2.94945 | + | 8.10355i | −0.455110 | + | 1.25040i | ||||
\(43\) | −1.99787 | − | 5.48910i | −0.304672 | − | 0.837080i | −0.993672 | − | 0.112319i | \(-0.964172\pi\) |
0.689000 | − | 0.724761i | \(-0.258050\pi\) | |||||||
\(44\) | −1.05474 | + | 0.885029i | −0.159008 | + | 0.133423i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.798570 | + | 1.38316i | −0.117743 | + | 0.203936i | ||||
\(47\) | 2.41402 | − | 0.425657i | 0.352121 | − | 0.0620885i | 0.00520990 | − | 0.999986i | \(-0.498342\pi\) |
0.346911 | + | 0.937898i | \(0.387231\pi\) | |||||||
\(48\) | −2.91947 | + | 0.514782i | −0.421390 | + | 0.0743024i | ||||
\(49\) | 0.730994 | − | 1.26612i | 0.104428 | − | 0.180874i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −12.0395 | + | 10.1024i | −1.68587 | + | 1.41461i | ||||
\(52\) | 1.83518 | + | 5.04213i | 0.254494 | + | 0.699217i | ||||
\(53\) | −3.63506 | + | 9.98725i | −0.499314 | + | 1.37185i | 0.392625 | + | 0.919699i | \(0.371567\pi\) |
−0.891939 | + | 0.452155i | \(0.850655\pi\) | |||||||
\(54\) | 6.33216 | + | 5.31332i | 0.861698 | + | 0.723051i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.90895 | 0.388725 | ||||||||
\(57\) | −4.44774 | − | 12.1324i | −0.589118 | − | 1.60698i | ||||
\(58\) | 2.36959i | 0.311142i | ||||||||
\(59\) | 1.39863 | − | 7.93202i | 0.182086 | − | 1.03266i | −0.747556 | − | 0.664199i | \(-0.768773\pi\) |
0.929642 | − | 0.368463i | \(-0.120116\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 14.5150 | + | 5.28304i | 1.85846 | + | 0.676424i | 0.980127 | + | 0.198371i | \(0.0635652\pi\) |
0.878332 | + | 0.478052i | \(0.158657\pi\) | |||||||
\(62\) | −2.39587 | − | 6.58259i | −0.304276 | − | 0.835990i | ||||
\(63\) | −10.8232 | − | 12.8986i | −1.36360 | − | 1.62508i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.708783 | − | 4.01971i | −0.0872452 | − | 0.494792i | ||||
\(67\) | −10.0911 | + | 1.77933i | −1.23282 | + | 0.217380i | −0.751837 | − | 0.659349i | \(-0.770832\pi\) |
−0.480985 | + | 0.876729i | \(0.659721\pi\) | |||||||
\(68\) | 4.59127 | + | 2.65077i | 0.556773 | + | 0.321453i | ||||
\(69\) | −2.36737 | − | 4.10041i | −0.284998 | − | 0.493631i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.36737 | + | 0.861653i | −0.280955 | + | 0.102259i | −0.478654 | − | 0.878003i | \(-0.658875\pi\) |
0.197699 | + | 0.980263i | \(0.436653\pi\) | |||||||
\(72\) | 1.97973 | − | 5.43926i | 0.233313 | − | 0.641022i | ||||
\(73\) | 4.37520 | − | 5.21416i | 0.512079 | − | 0.610272i | −0.446610 | − | 0.894729i | \(-0.647369\pi\) |
0.958689 | + | 0.284457i | \(0.0918133\pi\) | |||||||
\(74\) | −1.44325 | + | 8.18508i | −0.167774 | + | 0.951496i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.33260 | + | 2.80958i | −0.382276 | + | 0.322281i | ||||
\(77\) | 4.00522i | 0.456437i | ||||||||
\(78\) | −15.6651 | − | 2.76218i | −1.77372 | − | 0.312755i | ||||
\(79\) | 6.31181 | + | 5.29624i | 0.710134 | + | 0.595873i | 0.924637 | − | 0.380850i | \(-0.124369\pi\) |
−0.214503 | + | 0.976723i | \(0.568813\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.70923 | + | 2.44196i | −0.745470 | + | 0.271329i | ||||
\(82\) | −5.98695 | − | 7.13497i | −0.661148 | − | 0.787926i | ||||
\(83\) | −0.419755 | + | 0.242346i | −0.0460741 | + | 0.0266009i | −0.522860 | − | 0.852419i | \(-0.675135\pi\) |
0.476786 | + | 0.879019i | \(0.341802\pi\) | |||||||
\(84\) | −4.31181 | + | 7.46827i | −0.470457 | + | 0.814855i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.01435 | − | 5.75264i | −0.109380 | − | 0.620323i | ||||
\(87\) | −6.08354 | − | 3.51233i | −0.652224 | − | 0.376562i | ||||
\(88\) | −1.19240 | + | 0.688430i | −0.127110 | + | 0.0733869i | ||||
\(89\) | −9.24921 | + | 7.76101i | −0.980414 | + | 0.822665i | −0.984152 | − | 0.177328i | \(-0.943255\pi\) |
0.00373759 | + | 0.999993i | \(0.498810\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 14.6673 | + | 5.33846i | 1.53755 | + | 0.559622i | ||||
\(92\) | −1.02662 | + | 1.22348i | −0.107033 | + | 0.127557i | ||||
\(93\) | 20.4511 | + | 3.60607i | 2.12068 | + | 0.373933i | ||||
\(94\) | 2.45126 | 0.252828 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.96451 | −0.302564 | ||||||||
\(97\) | 9.01879 | + | 1.59026i | 0.915719 | + | 0.161466i | 0.611599 | − | 0.791168i | \(-0.290526\pi\) |
0.304120 | + | 0.952634i | \(0.401638\pi\) | |||||||
\(98\) | 0.939748 | − | 1.11995i | 0.0949289 | − | 0.113132i | ||||
\(99\) | 7.48910 | + | 2.72581i | 0.752683 | + | 0.273954i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.78879 | − | 3.17918i | 0.376999 | − | 0.316340i | −0.434524 | − | 0.900660i | \(-0.643083\pi\) |
0.811523 | + | 0.584320i | \(0.198639\pi\) | |||||||
\(102\) | −13.6109 | + | 7.85824i | −1.34768 | + | 0.778082i | ||||
\(103\) | 4.77000 | + | 2.75396i | 0.470002 | + | 0.271356i | 0.716240 | − | 0.697854i | \(-0.245861\pi\) |
−0.246239 | + | 0.969209i | \(0.579195\pi\) | |||||||
\(104\) | 0.931747 | + | 5.28420i | 0.0913653 | + | 0.518159i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.31410 | + | 9.20430i | −0.516151 | + | 0.894000i | ||||
\(107\) | −5.43798 | + | 3.13962i | −0.525710 | + | 0.303519i | −0.739268 | − | 0.673412i | \(-0.764828\pi\) |
0.213558 | + | 0.976930i | \(0.431495\pi\) | |||||||
\(108\) | 5.31332 | + | 6.33216i | 0.511274 | + | 0.609313i | ||||
\(109\) | 5.14544 | − | 1.87279i | 0.492844 | − | 0.179380i | −0.0836288 | − | 0.996497i | \(-0.526651\pi\) |
0.576473 | + | 0.817117i | \(0.304429\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −18.8746 | − | 15.8377i | −1.79150 | − | 1.50325i | ||||
\(112\) | 2.86476 | + | 0.505134i | 0.270694 | + | 0.0477307i | ||||
\(113\) | − | 3.38326i | − | 0.318271i | −0.987257 | − | 0.159135i | \(-0.949129\pi\) | ||
0.987257 | − | 0.159135i | \(-0.0508706\pi\) | |||||||
\(114\) | −2.27340 | − | 12.7205i | −0.212923 | − | 1.19138i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.411474 | + | 2.33359i | −0.0382044 | + | 0.216668i | ||||
\(117\) | 19.9641 | − | 23.7923i | 1.84568 | − | 2.19959i | ||||
\(118\) | 2.75476 | − | 7.56865i | 0.253597 | − | 0.696751i | ||||
\(119\) | 14.4919 | − | 5.27461i | 1.32847 | − | 0.483522i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.55213 | + | 7.88452i | 0.413830 | + | 0.716774i | ||||
\(122\) | 13.3771 | + | 7.72328i | 1.21111 | + | 0.699233i | ||||
\(123\) | 27.1921 | − | 4.79470i | 2.45183 | − | 0.432324i | ||||
\(124\) | −1.21641 | − | 6.89863i | −0.109237 | − | 0.619515i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −8.41899 | − | 14.5821i | −0.750023 | − | 1.29908i | ||||
\(127\) | 5.27100 | + | 6.28174i | 0.467726 | + | 0.557414i | 0.947408 | − | 0.320028i | \(-0.103692\pi\) |
−0.479682 | + | 0.877442i | \(0.659248\pi\) | |||||||
\(128\) | 0.342020 | + | 0.939693i | 0.0302306 | + | 0.0830579i | ||||
\(129\) | 16.2725 | + | 5.92271i | 1.43271 | + | 0.521466i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.31008 | − | 18.7724i | 0.289203 | − | 1.64015i | −0.400671 | − | 0.916222i | \(-0.631223\pi\) |
0.689874 | − | 0.723929i | \(-0.257666\pi\) | |||||||
\(132\) | − | 4.08172i | − | 0.355268i | ||||||
\(133\) | 0.0294142 | + | 12.6798i | 0.00255054 | + | 1.09948i | ||||
\(134\) | −10.2467 | −0.885184 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.06122 | + | 3.40777i | 0.348246 | + | 0.292213i | ||||
\(137\) | 4.30123 | − | 11.8175i | 0.367479 | − | 1.00964i | −0.608838 | − | 0.793294i | \(-0.708364\pi\) |
0.976317 | − | 0.216345i | \(-0.0694136\pi\) | |||||||
\(138\) | −1.61938 | − | 4.44920i | −0.137851 | − | 0.378741i | ||||
\(139\) | −6.64986 | + | 5.57990i | −0.564034 | + | 0.473281i | −0.879660 | − | 0.475603i | \(-0.842230\pi\) |
0.315626 | + | 0.948884i | \(0.397785\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.63340 | + | 6.29323i | −0.305987 | + | 0.529985i | ||||
\(142\) | −2.48103 | + | 0.437473i | −0.208203 | + | 0.0367119i | ||||
\(143\) | −7.27561 | + | 1.28289i | −0.608417 | + | 0.107280i | ||||
\(144\) | 2.89417 | − | 5.01285i | 0.241181 | − | 0.417737i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 5.21416 | − | 4.37520i | 0.431527 | − | 0.362094i | ||||
\(147\) | 1.48234 | + | 4.07271i | 0.122262 | + | 0.335911i | ||||
\(148\) | −2.84265 | + | 7.81011i | −0.233664 | + | 0.641987i | ||||
\(149\) | −12.5465 | − | 10.5278i | −1.02785 | − | 0.862467i | −0.0372549 | − | 0.999306i | \(-0.511861\pi\) |
−0.990593 | + | 0.136839i | \(0.956306\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.8845 | 1.04852 | 0.524261 | − | 0.851557i | \(-0.324341\pi\) | ||||
0.524261 | + | 0.851557i | \(0.324341\pi\) | |||||||
\(152\) | −3.76985 | + | 2.18820i | −0.305775 | + | 0.177487i | ||||
\(153\) | − | 30.6871i | − | 2.48090i | ||||||
\(154\) | −0.695499 | + | 3.94437i | −0.0560449 | + | 0.317846i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −14.9474 | − | 5.44043i | −1.19675 | − | 0.435583i | ||||
\(157\) | −5.60574 | − | 15.4017i | −0.447387 | − | 1.22919i | −0.934537 | − | 0.355867i | \(-0.884186\pi\) |
0.487150 | − | 0.873318i | \(-0.338037\pi\) | |||||||
\(158\) | 5.29624 | + | 6.31181i | 0.421346 | + | 0.502141i | ||||
\(159\) | −15.7537 | − | 27.2863i | −1.24935 | − | 2.16394i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.806770 | + | 4.57542i | 0.0635824 | + | 0.360594i | ||||
\(162\) | −7.03135 | + | 1.23982i | −0.552435 | + | 0.0974092i | ||||
\(163\) | −3.53398 | − | 2.04034i | −0.276803 | − | 0.159812i | 0.355172 | − | 0.934801i | \(-0.384422\pi\) |
−0.631975 | + | 0.774989i | \(0.717755\pi\) | |||||||
\(164\) | −4.65702 | − | 8.06620i | −0.363652 | − | 0.629864i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.455461 | + | 0.165774i | −0.0353506 | + | 0.0128666i | ||||
\(167\) | −5.42127 | + | 14.8948i | −0.419510 | + | 1.15260i | 0.532473 | + | 0.846447i | \(0.321263\pi\) |
−0.951984 | + | 0.306149i | \(0.900960\pi\) | |||||||
\(168\) | −5.54315 | + | 6.60607i | −0.427664 | + | 0.509670i | ||||
\(169\) | −2.74207 | + | 15.5510i | −0.210928 | + | 1.19623i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 23.7291 | + | 8.57441i | 1.81461 | + | 0.655701i | ||||
\(172\) | − | 5.84138i | − | 0.445401i | ||||||
\(173\) | −2.38705 | − | 0.420901i | −0.181484 | − | 0.0320005i | 0.0821676 | − | 0.996619i | \(-0.473816\pi\) |
−0.263651 | + | 0.964618i | \(0.584927\pi\) | |||||||
\(174\) | −5.38121 | − | 4.51537i | −0.407948 | − | 0.342309i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.29383 | + | 0.470914i | −0.0975258 | + | 0.0354965i | ||||
\(177\) | 15.3481 | + | 18.2911i | 1.15363 | + | 1.37484i | ||||
\(178\) | −10.4564 | + | 6.03699i | −0.783739 | + | 0.452492i | ||||
\(179\) | 9.04557 | − | 15.6674i | 0.676098 | − | 1.17104i | −0.300049 | − | 0.953924i | \(-0.597003\pi\) |
0.976147 | − | 0.217112i | \(-0.0696636\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.48949 | − | 19.7899i | −0.259371 | − | 1.47097i | −0.784597 | − | 0.620006i | \(-0.787130\pi\) |
0.525226 | − | 0.850963i | \(-0.323981\pi\) | |||||||
\(182\) | 13.5174 | + | 7.80430i | 1.00198 | + | 0.578493i | ||||
\(183\) | −39.6566 | + | 22.8958i | −2.93150 | + | 1.69250i | ||||
\(184\) | −1.22348 | + | 1.02662i | −0.0901962 | + | 0.0756836i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 19.5142 | + | 7.10258i | 1.43085 | + | 0.520786i | ||||
\(187\) | −4.69202 | + | 5.59173i | −0.343114 | + | 0.408908i | ||||
\(188\) | 2.41402 | + | 0.425657i | 0.176061 | + | 0.0310442i | ||||
\(189\) | 24.0455 | 1.74906 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.33371 | −0.530649 | −0.265324 | − | 0.964159i | \(-0.585479\pi\) | ||||
−0.265324 | + | 0.964159i | \(0.585479\pi\) | |||||||
\(192\) | −2.91947 | − | 0.514782i | −0.210695 | − | 0.0371512i | ||||
\(193\) | 16.5147 | − | 19.6814i | 1.18875 | − | 1.41670i | 0.302720 | − | 0.953079i | \(-0.402105\pi\) |
0.886033 | − | 0.463622i | \(-0.153450\pi\) | |||||||
\(194\) | 8.60563 | + | 3.13219i | 0.617848 | + | 0.224878i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.11995 | − | 0.939748i | 0.0799963 | − | 0.0671248i | ||||
\(197\) | 11.4157 | − | 6.59085i | 0.813334 | − | 0.469579i | −0.0347781 | − | 0.999395i | \(-0.511072\pi\) |
0.848112 | + | 0.529816i | \(0.177739\pi\) | |||||||
\(198\) | 6.90199 | + | 3.98487i | 0.490503 | + | 0.283192i | ||||
\(199\) | −1.78833 | − | 10.1421i | −0.126771 | − | 0.718957i | −0.980240 | − | 0.197812i | \(-0.936616\pi\) |
0.853468 | − | 0.521144i | \(-0.174495\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 15.1883 | − | 26.3069i | 1.07130 | − | 1.85555i | ||||
\(202\) | 4.28329 | − | 2.47296i | 0.301371 | − | 0.173997i | ||||
\(203\) | 4.43074 | + | 5.28035i | 0.310977 | + | 0.370608i | ||||
\(204\) | −14.7687 | + | 5.37535i | −1.03401 | + | 0.376350i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 4.21931 | + | 3.54042i | 0.293973 | + | 0.246673i | ||||
\(207\) | 9.10434 | + | 1.60534i | 0.632795 | + | 0.111579i | ||||
\(208\) | 5.36572i | 0.372046i | ||||||||
\(209\) | −3.01285 | − | 5.19056i | −0.208403 | − | 0.359039i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.74895 | + | 15.5901i | −0.189245 | + | 1.07326i | 0.731133 | + | 0.682235i | \(0.238992\pi\) |
−0.920379 | + | 0.391029i | \(0.872119\pi\) | |||||||
\(212\) | −6.83168 | + | 8.14168i | −0.469202 | + | 0.559173i | ||||
\(213\) | 2.55438 | − | 7.01810i | 0.175023 | − | 0.480873i | ||||
\(214\) | −5.90056 | + | 2.14763i | −0.403354 | + | 0.146809i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 4.13303 | + | 7.15861i | 0.281217 | + | 0.487082i | ||||
\(217\) | −17.6473 | − | 10.1887i | −1.19798 | − | 0.691652i | ||||
\(218\) | 5.39247 | − | 0.950839i | 0.365224 | − | 0.0643989i | ||||
\(219\) | 3.50392 | + | 19.8717i | 0.236773 | + | 1.34281i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.2233 | + | 24.6355i | 0.956762 | + | 1.65716i | ||||
\(222\) | −15.8377 | − | 18.8746i | −1.06296 | − | 1.26678i | ||||
\(223\) | −1.12396 | − | 3.08806i | −0.0752660 | − | 0.206792i | 0.896354 | − | 0.443339i | \(-0.146206\pi\) |
−0.971620 | + | 0.236548i | \(0.923984\pi\) | |||||||
\(224\) | 2.73352 | + | 0.994919i | 0.182641 | + | 0.0664758i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.587497 | − | 3.33186i | 0.0390797 | − | 0.221632i | ||||
\(227\) | − | 11.8147i | − | 0.784172i | −0.919928 | − | 0.392086i | \(-0.871754\pi\) | ||
0.919928 | − | 0.392086i | \(-0.128246\pi\) | |||||||
\(228\) | −0.0299760 | − | 12.9220i | −0.00198521 | − | 0.855779i | ||||
\(229\) | 11.9186 | 0.787604 | 0.393802 | − | 0.919195i | \(-0.371160\pi\) | ||||
0.393802 | + | 0.919195i | \(0.371160\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.09564 | − | 7.63215i | −0.598450 | − | 0.502159i | ||||
\(232\) | −0.810446 | + | 2.22668i | −0.0532084 | + | 0.146189i | ||||
\(233\) | 3.14124 | + | 8.63049i | 0.205790 | + | 0.565402i | 0.999055 | − | 0.0434743i | \(-0.0138427\pi\) |
−0.793265 | + | 0.608877i | \(0.791620\pi\) | |||||||
\(234\) | 23.7923 | − | 19.9641i | 1.55535 | − | 1.30509i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 4.02719 | − | 6.97531i | 0.262148 | − | 0.454054i | ||||
\(237\) | −24.0550 | + | 4.24154i | −1.56254 | + | 0.275518i | ||||
\(238\) | 15.1876 | − | 2.67799i | 0.984467 | − | 0.173588i | ||||
\(239\) | 2.70456 | − | 4.68443i | 0.174943 | − | 0.303011i | −0.765198 | − | 0.643795i | \(-0.777359\pi\) |
0.940142 | + | 0.340784i | \(0.110692\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.3709 | − | 17.0932i | 1.31221 | − | 1.10107i | 0.324311 | − | 0.945951i | \(-0.394868\pi\) |
0.987895 | − | 0.155121i | \(-0.0495768\pi\) | |||||||
\(242\) | 3.11384 | + | 8.55520i | 0.200165 | + | 0.549949i | ||||
\(243\) | −1.24225 | + | 3.41305i | −0.0796902 | + | 0.218947i | ||||
\(244\) | 11.8328 | + | 9.92886i | 0.757515 | + | 0.635630i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 27.6116 | 1.76045 | ||||||||
\(247\) | −23.0238 | + | 4.11481i | −1.46497 | + | 0.261819i | ||||
\(248\) | − | 7.00505i | − | 0.444821i | ||||||
\(249\) | 0.249510 | − | 1.41504i | 0.0158121 | − | 0.0896748i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.42144 | + | 0.517363i | 0.0897206 | + | 0.0326556i | 0.386490 | − | 0.922293i | \(-0.373687\pi\) |
−0.296770 | + | 0.954949i | \(0.595909\pi\) | |||||||
\(252\) | −5.75893 | − | 15.8225i | −0.362778 | − | 0.996725i | ||||
\(253\) | −1.41352 | − | 1.68456i | −0.0888670 | − | 0.105908i | ||||
\(254\) | 4.10011 | + | 7.10160i | 0.257264 | + | 0.445594i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 6.75923 | − | 1.19184i | 0.421629 | − | 0.0743446i | 0.0411918 | − | 0.999151i | \(-0.486885\pi\) |
0.380438 | + | 0.924807i | \(0.375773\pi\) | |||||||
\(258\) | 14.9968 | + | 8.65842i | 0.933662 | + | 0.539050i | ||||
\(259\) | 12.0886 | + | 20.9382i | 0.751152 | + | 1.30103i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.8888 | − | 4.69113i | 0.797795 | − | 0.290374i | ||||
\(262\) | 6.51958 | − | 17.9124i | 0.402781 | − | 1.10663i | ||||
\(263\) | −13.1920 | + | 15.7216i | −0.813454 | + | 0.969437i | −0.999915 | − | 0.0130252i | \(-0.995854\pi\) |
0.186461 | + | 0.982462i | \(0.440298\pi\) | |||||||
\(264\) | 0.708783 | − | 4.01971i | 0.0436226 | − | 0.247396i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.17285 | + | 12.4923i | −0.133226 | + | 0.765949i | ||||
\(267\) | − | 35.7935i | − | 2.19053i | ||||||
\(268\) | −10.0911 | − | 1.77933i | −0.616411 | − | 0.108690i | ||||
\(269\) | −13.4461 | − | 11.2826i | −0.819824 | − | 0.687914i | 0.133107 | − | 0.991102i | \(-0.457505\pi\) |
−0.952931 | + | 0.303188i | \(0.901949\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.16550 | + | 2.97200i | −0.496019 | + | 0.180536i | −0.577902 | − | 0.816106i | \(-0.696129\pi\) |
0.0818838 | + | 0.996642i | \(0.473906\pi\) | |||||||
\(272\) | 3.40777 | + | 4.06122i | 0.206626 | + | 0.246247i | ||||
\(273\) | −40.0727 | + | 23.1360i | −2.42531 | + | 1.40025i | ||||
\(274\) | 6.28797 | − | 10.8911i | 0.379870 | − | 0.657955i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.822180 | − | 4.66281i | −0.0494894 | − | 0.280668i | ||||
\(277\) | −7.11964 | − | 4.11052i | −0.427778 | − | 0.246977i | 0.270622 | − | 0.962686i | \(-0.412771\pi\) |
−0.698399 | + | 0.715708i | \(0.746104\pi\) | |||||||
\(278\) | −7.51777 | + | 4.34039i | −0.450886 | + | 0.260319i | ||||
\(279\) | −31.0612 | + | 26.0635i | −1.85959 | + | 1.56038i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −15.2981 | − | 5.56805i | −0.912608 | − | 0.332162i | −0.157314 | − | 0.987549i | \(-0.550284\pi\) |
−0.755294 | + | 0.655387i | \(0.772506\pi\) | |||||||
\(282\) | −4.67100 | + | 5.56669i | −0.278154 | + | 0.331491i | ||||
\(283\) | 6.15584 | + | 1.08544i | 0.365927 | + | 0.0645228i | 0.353588 | − | 0.935401i | \(-0.384961\pi\) |
0.0123385 | + | 0.999924i | \(0.496072\pi\) | |||||||
\(284\) | −2.51930 | −0.149493 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.38785 | −0.436853 | ||||||||
\(287\) | −26.6825 | − | 4.70484i | −1.57502 | − | 0.277718i | ||||
\(288\) | 3.72067 | − | 4.43412i | 0.219243 | − | 0.261283i | ||||
\(289\) | 10.4365 | + | 3.79859i | 0.613914 | + | 0.223447i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −20.7972 | + | 17.4509i | −1.21915 | + | 1.02299i | ||||
\(292\) | 5.89470 | − | 3.40330i | 0.344961 | − | 0.199163i | ||||
\(293\) | 13.1722 | + | 7.60497i | 0.769528 | + | 0.444287i | 0.832706 | − | 0.553715i | \(-0.186790\pi\) |
−0.0631781 | + | 0.998002i | \(0.520124\pi\) | |||||||
\(294\) | 0.752605 | + | 4.26824i | 0.0438928 | + | 0.248929i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −4.15567 | + | 7.19784i | −0.241544 | + | 0.418366i | ||||
\(297\) | −9.85641 | + | 5.69060i | −0.571927 | + | 0.330202i | ||||
\(298\) | −10.5278 | − | 12.5465i | −0.609856 | − | 0.726798i | ||||
\(299\) | −8.05299 | + | 2.93105i | −0.465716 | + | 0.169507i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.0168 | − | 10.9224i | −0.750278 | − | 0.629558i | ||||
\(302\) | 12.6887 | + | 2.23736i | 0.730154 | + | 0.128746i | ||||
\(303\) | 14.6622i | 0.842324i | ||||||||
\(304\) | −4.09256 | + | 1.50033i | −0.234724 | + | 0.0860498i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 5.32876 | − | 30.2209i | 0.304625 | − | 1.72761i | ||||
\(307\) | 0.417451 | − | 0.497498i | 0.0238252 | − | 0.0283937i | −0.754000 | − | 0.656874i | \(-0.771878\pi\) |
0.777825 | + | 0.628480i | \(0.216323\pi\) | |||||||
\(308\) | −1.36987 | + | 3.76367i | −0.0780553 | + | 0.214455i | ||||
\(309\) | −15.3436 | + | 5.58461i | −0.872866 | + | 0.317697i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.79261 | − | 10.0331i | −0.328469 | − | 0.568924i | 0.653740 | − | 0.756720i | \(-0.273199\pi\) |
−0.982208 | + | 0.187795i | \(0.939866\pi\) | |||||||
\(312\) | −13.7756 | − | 7.95337i | −0.779892 | − | 0.450271i | ||||
\(313\) | −0.620641 | + | 0.109436i | −0.0350807 | + | 0.00618568i | −0.191161 | − | 0.981559i | \(-0.561225\pi\) |
0.156080 | + | 0.987744i | \(0.450114\pi\) | |||||||
\(314\) | −2.84611 | − | 16.1411i | −0.160615 | − | 0.910894i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.11974 | + | 7.13560i | 0.231754 | + | 0.401409i | ||||
\(317\) | 5.98705 | + | 7.13509i | 0.336266 | + | 0.400746i | 0.907508 | − | 0.420036i | \(-0.137982\pi\) |
−0.571241 | + | 0.820782i | \(0.693538\pi\) | |||||||
\(318\) | −10.7762 | − | 29.6073i | −0.604298 | − | 1.66030i | ||||
\(319\) | −3.06583 | − | 1.11587i | −0.171654 | − | 0.0624768i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.23244 | − | 18.3321i | 0.180417 | − | 1.02320i | ||||
\(322\) | 4.64600i | 0.258912i | ||||||||
\(323\) | −14.8130 | + | 17.7368i | −0.824217 | + | 0.986904i | ||||
\(324\) | −7.13982 | −0.396656 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −3.12599 | − | 2.62302i | −0.173132 | − | 0.145275i | ||||
\(327\) | −5.55190 | + | 15.2537i | −0.307021 | + | 0.843533i | ||||
\(328\) | −3.18559 | − | 8.75234i | −0.175895 | − | 0.483267i | ||||
\(329\) | 5.46235 | − | 4.58346i | 0.301149 | − | 0.252694i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.03292 | − | 10.4493i | 0.331599 | − | 0.574347i | −0.651226 | − | 0.758884i | \(-0.725745\pi\) |
0.982826 | + | 0.184537i | \(0.0590784\pi\) | |||||||
\(332\) | −0.477328 | + | 0.0841657i | −0.0261968 | + | 0.00461920i | ||||
\(333\) | 47.3780 | − | 8.35402i | 2.59630 | − | 0.457797i | ||||
\(334\) | −7.92536 | + | 13.7271i | −0.433657 | + | 0.751115i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −6.60607 | + | 5.54315i | −0.360391 | + | 0.302404i | ||||
\(337\) | 0.385456 | + | 1.05903i | 0.0209971 | + | 0.0576891i | 0.949748 | − | 0.313014i | \(-0.101339\pi\) |
−0.928751 | + | 0.370704i | \(0.879117\pi\) | |||||||
\(338\) | −5.40082 | + | 14.8386i | −0.293766 | + | 0.807115i | ||||
\(339\) | 7.68321 | + | 6.44698i | 0.417295 | + | 0.350152i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.64498 | 0.522305 | ||||||||
\(342\) | 21.8797 | + | 12.5647i | 1.18312 | + | 0.679419i | ||||
\(343\) | 16.1098i | 0.869847i | ||||||||
\(344\) | 1.01435 | − | 5.75264i | 0.0546898 | − | 0.310161i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.27769 | − | 0.829012i | −0.122450 | − | 0.0445680i | ||||
\(347\) | 4.40192 | + | 12.0942i | 0.236308 | + | 0.649250i | 0.999993 | + | 0.00366167i | \(0.00116555\pi\) |
−0.763686 | + | 0.645588i | \(0.776612\pi\) | |||||||
\(348\) | −4.51537 | − | 5.38121i | −0.242049 | − | 0.288463i | ||||
\(349\) | −4.18866 | − | 7.25497i | −0.224214 | − | 0.388350i | 0.731870 | − | 0.681445i | \(-0.238648\pi\) |
−0.956083 | + | 0.293095i | \(0.905315\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.70187 | + | 43.6795i | 0.411096 | + | 2.33144i | ||||
\(352\) | −1.35594 | + | 0.239089i | −0.0722720 | + | 0.0127435i | ||||
\(353\) | −13.0798 | − | 7.55163i | −0.696168 | − | 0.401933i | 0.109751 | − | 0.993959i | \(-0.464995\pi\) |
−0.805918 | + | 0.592027i | \(0.798328\pi\) | |||||||
\(354\) | 11.9387 | + | 20.6784i | 0.634533 | + | 1.09904i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −11.3458 | + | 4.12955i | −0.601328 | + | 0.218866i | ||||
\(357\) | −15.6366 | + | 42.9613i | −0.827579 | + | 2.27375i | ||||
\(358\) | 11.6288 | − | 13.8586i | 0.614599 | − | 0.732451i | ||||
\(359\) | 5.84746 | − | 33.1626i | 0.308617 | − | 1.75025i | −0.297353 | − | 0.954768i | \(-0.596104\pi\) |
0.605970 | − | 0.795487i | \(-0.292785\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.57624 | − | 16.4102i | −0.504013 | − | 0.863696i | ||||
\(362\) | − | 20.0951i | − | 1.05618i | ||||||
\(363\) | −26.5796 | − | 4.68671i | −1.39507 | − | 0.245988i | ||||
\(364\) | 11.9569 | + | 10.0330i | 0.626711 | + | 0.525873i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −43.0300 | + | 15.6616i | −2.24921 | + | 0.818646i | ||||
\(367\) | −2.70290 | − | 3.22119i | −0.141090 | − | 0.168145i | 0.690872 | − | 0.722977i | \(-0.257227\pi\) |
−0.831962 | + | 0.554832i | \(0.812782\pi\) | |||||||
\(368\) | −1.38316 | + | 0.798570i | −0.0721024 | + | 0.0416284i | ||||
\(369\) | −26.9564 | + | 46.6898i | −1.40329 | + | 2.43058i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.36867 | + | 30.4472i | 0.278727 | + | 1.58074i | ||||
\(372\) | 17.9844 | + | 10.3833i | 0.932446 | + | 0.538348i | ||||
\(373\) | −4.63852 | + | 2.67805i | −0.240173 | + | 0.138664i | −0.615256 | − | 0.788327i | \(-0.710948\pi\) |
0.375083 | + | 0.926991i | \(0.377614\pi\) | |||||||
\(374\) | −5.59173 | + | 4.69202i | −0.289141 | + | 0.242618i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.30343 | + | 0.838381i | 0.118790 | + | 0.0432362i | ||||
\(377\) | −8.17274 | + | 9.73989i | −0.420918 | + | 0.501630i | ||||
\(378\) | 23.6802 | + | 4.17546i | 1.21798 | + | 0.214763i | ||||
\(379\) | 5.86331 | 0.301178 | 0.150589 | − | 0.988596i | \(-0.451883\pi\) | ||||
0.150589 | + | 0.988596i | \(0.451883\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −24.3097 | −1.24542 | ||||||||
\(382\) | −7.22230 | − | 1.27349i | −0.369525 | − | 0.0651572i | ||||
\(383\) | 18.6249 | − | 22.1962i | 0.951686 | − | 1.13418i | −0.0391675 | − | 0.999233i | \(-0.512471\pi\) |
0.990853 | − | 0.134942i | \(-0.0430850\pi\) | |||||||
\(384\) | −2.78573 | − | 1.01392i | −0.142159 | − | 0.0517415i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 19.6814 | − | 16.5147i | 1.00176 | − | 0.840576i | ||||
\(387\) | −29.2819 | + | 16.9059i | −1.48848 | + | 0.859377i | ||||
\(388\) | 7.93099 | + | 4.57896i | 0.402635 | + | 0.232461i | ||||
\(389\) | 0.653743 | + | 3.70756i | 0.0331461 | + | 0.187981i | 0.996885 | − | 0.0788651i | \(-0.0251297\pi\) |
−0.963739 | + | 0.266846i | \(0.914019\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.23365 | + | 7.33290i | −0.214105 | + | 0.370841i | ||||
\(392\) | 1.26612 | − | 0.730994i | 0.0639487 | − | 0.0369208i | ||||
\(393\) | 36.3236 | + | 43.2888i | 1.83228 | + | 2.18363i | ||||
\(394\) | 12.3868 | − | 4.50841i | 0.624036 | − | 0.227130i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 6.10517 | + | 5.12284i | 0.306796 | + | 0.257433i | ||||
\(397\) | 18.6157 | + | 3.28244i | 0.934293 | + | 0.164741i | 0.620015 | − | 0.784590i | \(-0.287126\pi\) |
0.314278 | + | 0.949331i | \(0.398238\pi\) | |||||||
\(398\) | − | 10.2986i | − | 0.516222i | ||||||
\(399\) | −28.8512 | − | 24.0952i | −1.44437 | − | 1.20627i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.11371 | − | 11.9874i | 0.105554 | − | 0.598624i | −0.885444 | − | 0.464746i | \(-0.846146\pi\) |
0.990998 | − | 0.133878i | \(-0.0427431\pi\) | |||||||
\(402\) | 19.5257 | − | 23.2698i | 0.973854 | − | 1.16059i | ||||
\(403\) | 12.8556 | − | 35.3203i | 0.640381 | − | 1.75943i | ||||
\(404\) | 4.64764 | − | 1.69160i | 0.231229 | − | 0.0841605i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.44650 | + | 5.96952i | 0.171047 | + | 0.296262i | ||||
\(407\) | −9.91042 | − | 5.72179i | −0.491241 | − | 0.283618i | ||||
\(408\) | −15.4777 | + | 2.72914i | −0.766261 | + | 0.135113i | ||||
\(409\) | 4.90892 | + | 27.8399i | 0.242731 | + | 1.37659i | 0.825705 | + | 0.564103i | \(0.190778\pi\) |
−0.582974 | + | 0.812491i | \(0.698111\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 18.6408 | + | 32.2868i | 0.919482 | + | 1.59259i | ||||
\(412\) | 3.54042 | + | 4.21931i | 0.174424 | + | 0.207870i | ||||
\(413\) | −8.01347 | − | 22.0168i | −0.394317 | − | 1.08338i | ||||
\(414\) | 8.68726 | + | 3.16190i | 0.426955 | + | 0.155399i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.931747 | + | 5.28420i | −0.0456827 | + | 0.259079i | ||||
\(417\) | − | 25.7343i | − | 1.26021i | ||||||
\(418\) | −2.06574 | − | 5.63488i | −0.101039 | − | 0.275611i | ||||
\(419\) | 11.5301 | 0.563284 | 0.281642 | − | 0.959520i | \(-0.409121\pi\) | ||||
0.281642 | + | 0.959520i | \(0.409121\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.9361 | − | 13.3719i | −0.776676 | − | 0.651709i | 0.165733 | − | 0.986171i | \(-0.447001\pi\) |
−0.942409 | + | 0.334462i | \(0.891445\pi\) | |||||||
\(422\) | −5.41437 | + | 14.8759i | −0.263567 | + | 0.724145i | ||||
\(423\) | −4.85283 | − | 13.3330i | −0.235953 | − | 0.648274i | ||||
\(424\) | −8.14168 | + | 6.83168i | −0.395395 | + | 0.331776i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.73426 | − | 6.46792i | 0.180925 | − | 0.313372i | ||||
\(427\) | 44.2506 | − | 7.80258i | 2.14144 | − | 0.377593i | ||||
\(428\) | −6.18385 | + | 1.09038i | −0.298908 | + | 0.0527055i | ||||
\(429\) | 10.9507 | − | 18.9671i | 0.528704 | − | 0.915742i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.06480 | − | 1.73257i | 0.0994578 | − | 0.0834550i | −0.591703 | − | 0.806156i | \(-0.701544\pi\) |
0.691161 | + | 0.722701i | \(0.257100\pi\) | |||||||
\(432\) | 2.82716 | + | 7.76755i | 0.136022 | + | 0.373716i | ||||
\(433\) | 10.4904 | − | 28.8221i | 0.504135 | − | 1.38510i | −0.383068 | − | 0.923720i | \(-0.625132\pi\) |
0.887203 | − | 0.461380i | \(-0.152645\pi\) | |||||||
\(434\) | −15.6099 | − | 13.0983i | −0.749301 | − | 0.628738i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.47566 | 0.262237 | ||||||||
\(437\) | −4.48730 | − | 5.32263i | −0.214657 | − | 0.254616i | ||||
\(438\) | 20.1783i | 0.964155i | ||||||||
\(439\) | 4.34601 | − | 24.6474i | 0.207424 | − | 1.17636i | −0.686156 | − | 0.727454i | \(-0.740703\pi\) |
0.893580 | − | 0.448904i | \(-0.148185\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −7.95213 | − | 2.89434i | −0.378673 | − | 0.137826i | ||||
\(442\) | 9.72930 | + | 26.7310i | 0.462776 | + | 1.27147i | ||||
\(443\) | −22.5689 | − | 26.8966i | −1.07228 | − | 1.27790i | −0.958716 | − | 0.284367i | \(-0.908217\pi\) |
−0.113567 | − | 0.993530i | \(-0.536228\pi\) | |||||||
\(444\) | −12.3195 | − | 21.3381i | −0.584660 | − | 1.01266i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.570650 | − | 3.23631i | −0.0270210 | − | 0.153244i | ||||
\(447\) | 47.8160 | − | 8.43124i | 2.26162 | − | 0.398784i | ||||
\(448\) | 2.51922 | + | 1.45447i | 0.119022 | + | 0.0687175i | ||||
\(449\) | −1.27642 | − | 2.21082i | −0.0602380 | − | 0.104335i | 0.834334 | − | 0.551260i | \(-0.185853\pi\) |
−0.894572 | + | 0.446924i | \(0.852519\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.0507 | − | 4.38611i | 0.567448 | − | 0.206534i | ||||
\(452\) | 1.15714 | − | 3.17923i | 0.0544275 | − | 0.149538i | ||||
\(453\) | −24.5520 | + | 29.2600i | −1.15355 | + | 1.37475i | ||||
\(454\) | 2.05161 | − | 11.6353i | 0.0962868 | − | 0.546070i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.21436 | − | 12.7309i | 0.103697 | − | 0.596177i | ||||
\(457\) | 29.0079i | 1.35693i | 0.734631 | + | 0.678467i | \(0.237355\pi\) | ||||
−0.734631 | + | 0.678467i | \(0.762645\pi\) | |||||||
\(458\) | 11.7375 | + | 2.06964i | 0.548459 | + | 0.0967081i | ||||
\(459\) | 33.5702 | + | 28.1688i | 1.56692 | + | 1.31481i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −35.2153 | + | 12.8173i | −1.64014 | + | 0.596962i | −0.987064 | − | 0.160329i | \(-0.948745\pi\) |
−0.653077 | + | 0.757291i | \(0.726522\pi\) | |||||||
\(462\) | −7.63215 | − | 9.09564i | −0.355080 | − | 0.423168i | ||||
\(463\) | 3.83218 | − | 2.21251i | 0.178096 | − | 0.102824i | −0.408302 | − | 0.912847i | \(-0.633879\pi\) |
0.586398 | + | 0.810023i | \(0.300545\pi\) | |||||||
\(464\) | −1.18479 | + | 2.05212i | −0.0550026 | + | 0.0952673i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.59485 | + | 9.04485i | 0.0738800 | + | 0.418994i | ||||
\(467\) | 3.74952 | + | 2.16478i | 0.173507 | + | 0.100174i | 0.584238 | − | 0.811582i | \(-0.301393\pi\) |
−0.410732 | + | 0.911756i | \(0.634727\pi\) | |||||||
\(468\) | 26.8975 | − | 15.5293i | 1.24334 | − | 0.717842i | ||||
\(469\) | −22.8337 | + | 19.1597i | −1.05436 | + | 0.884715i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 45.6584 | + | 16.6183i | 2.10383 | + | 0.765731i | ||||
\(472\) | 5.17726 | − | 6.17002i | 0.238303 | − | 0.283998i | ||||
\(473\) | 7.92058 | + | 1.39661i | 0.364189 | + | 0.0642163i | ||||
\(474\) | −24.4260 | −1.12193 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 15.4219 | 0.706862 | ||||||||
\(477\) | 60.5850 | + | 10.6828i | 2.77400 | + | 0.489130i | ||||
\(478\) | 3.47691 | − | 4.14362i | 0.159030 | − | 0.189525i | ||||
\(479\) | −7.03629 | − | 2.56100i | −0.321496 | − | 0.117015i | 0.176231 | − | 0.984349i | \(-0.443610\pi\) |
−0.497727 | + | 0.867334i | \(0.665832\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −34.1628 | + | 28.6660i | −1.55769 | + | 1.30706i | ||||
\(482\) | 23.0296 | − | 13.2962i | 1.04897 | − | 0.605624i | ||||
\(483\) | −11.9279 | − | 6.88657i | −0.542737 | − | 0.313350i | ||||
\(484\) | 1.58094 | + | 8.96594i | 0.0718608 | + | 0.407543i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.81604 | + | 3.14548i | −0.0823774 | + | 0.142682i | ||||
\(487\) | 15.4397 | − | 8.91410i | 0.699638 | − | 0.403936i | −0.107575 | − | 0.994197i | \(-0.534308\pi\) |
0.807213 | + | 0.590261i | \(0.200975\pi\) | |||||||
\(488\) | 9.92886 | + | 11.8328i | 0.449458 | + | 0.535644i | ||||
\(489\) | 11.3677 | − | 4.13750i | 0.514065 | − | 0.187104i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.18783 | − | 7.70951i | −0.414641 | − | 0.347925i | 0.411479 | − | 0.911419i | \(-0.365012\pi\) |
−0.826120 | + | 0.563494i | \(0.809457\pi\) | |||||||
\(492\) | 27.1921 | + | 4.79470i | 1.22591 | + | 0.216162i | ||||
\(493\) | 12.5625i | 0.565784i | ||||||||
\(494\) | −23.3886 | + | 0.0542561i | −1.05230 | + | 0.00244110i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.21641 | − | 6.89863i | 0.0546186 | − | 0.309757i | ||||
\(497\) | −4.71069 | + | 5.61398i | −0.211303 | + | 0.251821i | ||||
\(498\) | 0.491440 | − | 1.35022i | 0.0220219 | − | 0.0605048i | ||||
\(499\) | −6.32111 | + | 2.30070i | −0.282972 | + | 0.102993i | −0.479607 | − | 0.877483i | \(-0.659221\pi\) |
0.196635 | + | 0.980477i | \(0.436999\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −23.4948 | − | 40.6943i | −1.04967 | − | 1.81809i | ||||
\(502\) | 1.31001 | + | 0.756334i | 0.0584685 | + | 0.0337568i | ||||
\(503\) | −4.86312 | + | 0.857499i | −0.216836 | + | 0.0382340i | −0.281011 | − | 0.959705i | \(-0.590670\pi\) |
0.0641748 | + | 0.997939i | \(0.479558\pi\) | |||||||
\(504\) | −2.92388 | − | 16.5822i | −0.130240 | − | 0.738628i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −1.09952 | − | 1.90442i | −0.0488796 | − | 0.0846620i | ||||
\(507\) | −30.0905 | − | 35.8604i | −1.33636 | − | 1.59262i | ||||
\(508\) | 2.80464 | + | 7.70569i | 0.124436 | + | 0.341885i | ||||
\(509\) | 18.1920 | + | 6.62133i | 0.806345 | + | 0.293485i | 0.712113 | − | 0.702065i | \(-0.247738\pi\) |
0.0942316 | + | 0.995550i | \(0.469961\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.43825 | − | 19.4993i | 0.152099 | − | 0.862597i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −31.1618 | + | 18.0878i | −1.37583 | + | 0.798595i | ||||
\(514\) | 6.86350 | 0.302736 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 13.2655 | + | 11.1311i | 0.583980 | + | 0.490017i | ||||
\(517\) | −1.15433 | + | 3.17150i | −0.0507675 | + | 0.139483i | ||||
\(518\) | 8.26912 | + | 22.7192i | 0.363324 | + | 0.998226i | ||||
\(519\) | 5.50448 | − | 4.61881i | 0.241620 | − | 0.202743i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 3.76749 | − | 6.52549i | 0.165057 | − | 0.285887i | −0.771619 | − | 0.636085i | \(-0.780553\pi\) |
0.936675 | + | 0.350199i | \(0.113886\pi\) | |||||||
\(522\) | 13.5076 | − | 2.38175i | 0.591211 | − | 0.104246i | ||||
\(523\) | −25.8798 | + | 4.56331i | −1.13164 | + | 0.199539i | −0.707948 | − | 0.706265i | \(-0.750379\pi\) |
−0.423697 | + | 0.905804i | \(0.639268\pi\) | |||||||
\(524\) | 9.53099 | − | 16.5082i | 0.416363 | − | 0.721162i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −15.7216 | + | 13.1920i | −0.685496 | + | 0.575199i | ||||
\(527\) | −12.7018 | − | 34.8979i | −0.553299 | − | 1.52018i | ||||
\(528\) | 1.39603 | − | 3.83556i | 0.0607544 | − | 0.166921i | ||||
\(529\) | 15.6650 | + | 13.1445i | 0.681085 | + | 0.571498i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −46.6215 | −2.02320 | ||||||||
\(532\) | −4.30910 | + | 11.9252i | −0.186823 | + | 0.517021i | ||||
\(533\) | − | 49.9765i | − | 2.16472i | ||||||
\(534\) | 6.21547 | − | 35.2497i | 0.268970 | − | 1.52540i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −9.62879 | − | 3.50459i | −0.415900 | − | 0.151375i | ||||
\(537\) | 18.3430 | + | 50.3970i | 0.791560 | + | 2.17479i | ||||
\(538\) | −11.2826 | − | 13.4461i | −0.486429 | − | 0.579703i | ||||
\(539\) | 1.00648 | + | 1.74327i | 0.0433520 | + | 0.0750879i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.24024 | + | 12.7051i | 0.0963156 | + | 0.546233i | 0.994336 | + | 0.106280i | \(0.0338939\pi\) |
−0.898021 | + | 0.439953i | \(0.854995\pi\) | |||||||
\(542\) | −8.55753 | + | 1.50892i | −0.367577 | + | 0.0648138i | ||||
\(543\) | 51.5911 | + | 29.7862i | 2.21399 | + | 1.27825i | ||||
\(544\) | 2.65077 | + | 4.59127i | 0.113651 | + | 0.196849i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −43.4814 | + | 15.8259i | −1.86083 | + | 0.677287i | ||||
\(547\) | −14.5722 | + | 40.0367i | −0.623061 | + | 1.71185i | 0.0763080 | + | 0.997084i | \(0.475687\pi\) |
−0.699369 | + | 0.714761i | \(0.746535\pi\) | |||||||
\(548\) | 8.08366 | − | 9.63374i | 0.345317 | − | 0.411533i | ||||
\(549\) | 15.5259 | − | 88.0516i | 0.662628 | − | 3.75795i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.71405 | − | 3.51013i | −0.413832 | − | 0.149536i | ||||
\(552\) | − | 4.73474i | − | 0.201524i | ||||||
\(553\) | 23.6041 | + | 4.16204i | 1.00375 | + | 0.176988i | ||||
\(554\) | −6.29769 | − | 5.28439i | −0.267563 | − | 0.224512i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.15726 | + | 2.96900i | −0.345945 | + | 0.125914i | ||||
\(557\) | −7.74009 | − | 9.22427i | −0.327958 | − | 0.390845i | 0.576719 | − | 0.816942i | \(-0.304333\pi\) |
−0.904677 | + | 0.426097i | \(0.859888\pi\) | |||||||
\(558\) | −35.1152 | + | 20.2738i | −1.48655 | + | 0.858258i | ||||
\(559\) | 15.6716 | − | 27.1440i | 0.662838 | − | 1.14807i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.75764 | − | 21.3107i | −0.158648 | − | 0.899737i | ||||
\(562\) | −14.0988 | − | 8.13995i | −0.594722 | − | 0.343363i | ||||
\(563\) | 38.8377 | − | 22.4230i | 1.63681 | − | 0.945015i | 0.654893 | − | 0.755721i | \(-0.272714\pi\) |
0.981921 | − | 0.189293i | \(-0.0606198\pi\) | |||||||
\(564\) | −5.56669 | + | 4.67100i | −0.234400 | + | 0.196685i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 5.87384 | + | 2.13790i | 0.246896 | + | 0.0898627i | ||||
\(567\) | −13.3503 | + | 15.9103i | −0.560660 | + | 0.668168i | ||||
\(568\) | −2.48103 | − | 0.437473i | −0.104102 | − | 0.0183559i | ||||
\(569\) | −30.1492 | −1.26392 | −0.631959 | − | 0.775002i | \(-0.717749\pi\) | ||||
−0.631959 | + | 0.775002i | \(0.717749\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.87066 | 0.161982 | 0.0809910 | − | 0.996715i | \(-0.474192\pi\) | ||||
0.0809910 | + | 0.996715i | \(0.474192\pi\) | |||||||
\(572\) | −7.27561 | − | 1.28289i | −0.304209 | − | 0.0536402i | ||||
\(573\) | 13.9748 | − | 16.6545i | 0.583804 | − | 0.695751i | ||||
\(574\) | −25.4601 | − | 9.26672i | −1.06268 | − | 0.386785i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 4.43412 | − | 3.72067i | 0.184755 | − | 0.155028i | ||||
\(577\) | −13.2589 | + | 7.65505i | −0.551976 | + | 0.318684i | −0.749919 | − | 0.661530i | \(-0.769907\pi\) |
0.197942 | + | 0.980214i | \(0.436574\pi\) | |||||||
\(578\) | 9.61837 | + | 5.55317i | 0.400072 | + | 0.230981i | ||||
\(579\) | 13.2259 | + | 75.0080i | 0.549651 | + | 3.11723i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.704971 | + | 1.22105i | −0.0292471 | + | 0.0506575i | ||||
\(582\) | −23.5115 | + | 13.5744i | −0.974584 | + | 0.562676i | ||||
\(583\) | −9.40627 | − | 11.2100i | −0.389568 | − | 0.464269i | ||||
\(584\) | 6.39612 | − | 2.32800i | 0.264673 | − | 0.0963332i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.6515 | + | 9.77676i | 0.481319 | + | 0.403874i | ||||
\(587\) | 17.8491 | + | 3.14728i | 0.736713 | + | 0.129902i | 0.529400 | − | 0.848372i | \(-0.322417\pi\) |
0.207313 | + | 0.978275i | \(0.433528\pi\) | |||||||
\(588\) | 4.33408i | 0.178735i | ||||||||
\(589\) | 30.5342 | − | 0.0708324i | 1.25814 | − | 0.00291860i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.78571 | + | 38.4837i | −0.279127 | + | 1.58301i | ||||
\(592\) | −5.34243 | + | 6.36686i | −0.219573 | + | 0.261676i | ||||
\(593\) | −9.01955 | + | 24.7810i | −0.370389 | + | 1.01763i | 0.604823 | + | 0.796360i | \(0.293244\pi\) |
−0.975212 | + | 0.221275i | \(0.928978\pi\) | |||||||
\(594\) | −10.6948 | + | 3.89260i | −0.438814 | + | 0.159715i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −8.18914 | − | 14.1840i | −0.335440 | − | 0.580999i | ||||
\(597\) | 26.4400 | + | 15.2651i | 1.08212 | + | 0.624761i | ||||
\(598\) | −8.43961 | + | 1.48813i | −0.345121 | + | 0.0608542i | ||||
\(599\) | 5.45740 | + | 30.9505i | 0.222983 | + | 1.26460i | 0.866503 | + | 0.499172i | \(0.166363\pi\) |
−0.643519 | + | 0.765430i | \(0.722526\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.30819 | + | 14.3902i | 0.338898 | + | 0.586989i | 0.984226 | − | 0.176917i | \(-0.0566125\pi\) |
−0.645328 | + | 0.763906i | \(0.723279\pi\) | |||||||
\(602\) | −10.9224 | − | 13.0168i | −0.445165 | − | 0.530527i | ||||
\(603\) | 20.2858 | + | 55.7347i | 0.826100 | + | 2.26969i | ||||
\(604\) | 12.1074 | + | 4.40675i | 0.492645 | + | 0.179308i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.54607 | + | 14.4395i | −0.103427 | + | 0.586564i | ||||
\(607\) | − | 4.44153i | − | 0.180276i | −0.995929 | − | 0.0901381i | \(-0.971269\pi\) | ||
0.995929 | − | 0.0901381i | \(-0.0287308\pi\) | |||||||
\(608\) | −4.29091 | + | 0.766871i | −0.174019 | + | 0.0311007i | ||||
\(609\) | −20.4344 | −0.828044 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.0756 | + | 8.45444i | 0.407616 | + | 0.342030i | ||||
\(612\) | 10.4956 | − | 28.8364i | 0.424260 | − | 1.16564i | ||||
\(613\) | 1.85677 | + | 5.10144i | 0.0749943 | + | 0.206045i | 0.971525 | − | 0.236936i | \(-0.0761431\pi\) |
−0.896531 | + | 0.442981i | \(0.853921\pi\) | |||||||
\(614\) | 0.497498 | − | 0.417451i | 0.0200774 | − | 0.0168469i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.00261 | + | 3.46862i | −0.0806874 | + | 0.139755i | ||||
\(617\) | −30.2620 | + | 5.33600i | −1.21830 | + | 0.214819i | −0.745594 | − | 0.666401i | \(-0.767834\pi\) |
−0.472707 | + | 0.881220i | \(0.656723\pi\) | |||||||
\(618\) | −16.0802 | + | 2.83538i | −0.646842 | + | 0.114056i | ||||
\(619\) | −13.0502 | + | 22.6035i | −0.524530 | + | 0.908512i | 0.475062 | + | 0.879952i | \(0.342426\pi\) |
−0.999592 | + | 0.0285602i | \(0.990908\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10.1134 | + | 8.48611i | −0.405835 | + | 0.340536i | ||||
\(622\) | −3.96238 | − | 10.8865i | −0.158877 | − | 0.436510i | ||||
\(623\) | −12.0126 | + | 33.0045i | −0.481276 | + | 1.32230i | ||||
\(624\) | −12.1853 | − | 10.2247i | −0.487801 | − | 0.409314i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −0.630216 | −0.0251885 | ||||||||
\(627\) | 17.5286 | + | 3.04886i | 0.700026 | + | 0.121760i | ||||
\(628\) | − | 16.3901i | − | 0.654036i | ||||||
\(629\) | −7.65145 | + | 43.3935i | −0.305083 | + | 1.73021i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 39.5529 | + | 14.3961i | 1.57458 | + | 0.573099i | 0.974016 | − | 0.226479i | \(-0.0727215\pi\) |
0.600562 | + | 0.799579i | \(0.294944\pi\) | |||||||
\(632\) | 2.81807 | + | 7.74258i | 0.112097 | + | 0.307983i | ||||
\(633\) | −30.1659 | − | 35.9504i | −1.19899 | − | 1.42890i | ||||
\(634\) | 4.65710 | + | 8.06633i | 0.184957 | + | 0.320355i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −5.47121 | − | 31.0288i | −0.216948 | − | 1.23037i | ||||
\(637\) | 7.72544 | − | 1.36220i | 0.306093 | − | 0.0539725i | ||||
\(638\) | −2.82548 | − | 1.63129i | −0.111862 | − | 0.0645836i | ||||
\(639\) | 7.29129 | + | 12.6289i | 0.288439 | + | 0.499591i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.5601 | + | 4.93548i | −0.535592 | + | 0.194940i | −0.595634 | − | 0.803256i | \(-0.703099\pi\) |
0.0600414 | + | 0.998196i | \(0.480877\pi\) | |||||||
\(642\) | 6.36667 | − | 17.4923i | 0.251272 | − | 0.690365i | ||||
\(643\) | 16.1189 | − | 19.2098i | 0.635667 | − | 0.757559i | −0.348012 | − | 0.937490i | \(-0.613143\pi\) |
0.983679 | + | 0.179931i | \(0.0575875\pi\) | |||||||
\(644\) | −0.806770 | + | 4.57542i | −0.0317912 | + | 0.180297i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.6679 | + | 14.8951i | −0.695135 | + | 0.586041i | ||||
\(647\) | 25.9344i | 1.01959i | 0.860297 | + | 0.509793i | \(0.170278\pi\) | ||||
−0.860297 | + | 0.509793i | \(0.829722\pi\) | |||||||
\(648\) | −7.03135 | − | 1.23982i | −0.276217 | − | 0.0487046i | ||||
\(649\) | 8.49526 | + | 7.12837i | 0.333468 | + | 0.279813i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 56.7658 | − | 20.6610i | 2.22483 | − | 0.809770i | ||||
\(652\) | −2.62302 | − | 3.12599i | −0.102725 | − | 0.122423i | ||||
\(653\) | 10.2190 | − | 5.89996i | 0.399901 | − | 0.230883i | −0.286540 | − | 0.958068i | \(-0.592505\pi\) |
0.686441 | + | 0.727185i | \(0.259172\pi\) | |||||||
\(654\) | −8.11633 | + | 14.0579i | −0.317374 | + | 0.549708i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −1.61737 | − | 9.17254i | −0.0631475 | − | 0.358128i | ||||
\(657\) | −34.1205 | − | 19.6995i | −1.33117 | − | 0.768549i | ||||
\(658\) | 6.17528 | − | 3.56530i | 0.240737 | − | 0.138990i | ||||
\(659\) | −16.7858 | + | 14.0849i | −0.653880 | + | 0.548671i | −0.908246 | − | 0.418438i | \(-0.862578\pi\) |
0.254365 | + | 0.967108i | \(0.418133\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −36.0396 | − | 13.1173i | −1.40178 | − | 0.510205i | −0.473072 | − | 0.881024i | \(-0.656855\pi\) |
−0.928705 | + | 0.370819i | \(0.879077\pi\) | |||||||
\(662\) | 7.75578 | − | 9.24297i | 0.301437 | − | 0.359238i | ||||
\(663\) | −83.0491 | − | 14.6438i | −3.22536 | − | 0.568718i | ||||
\(664\) | −0.484691 | −0.0188097 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 48.1089 | 1.86418 | ||||||||
\(667\) | −3.72706 | − | 0.657182i | −0.144313 | − | 0.0254462i | ||||
\(668\) | −10.1887 | + | 12.1424i | −0.394211 | + | 0.469802i | ||||
\(669\) | 9.15458 | + | 3.33199i | 0.353937 | + | 0.128822i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −16.2921 | + | 13.6707i | −0.628948 | + | 0.527750i | ||||
\(672\) | −7.46827 | + | 4.31181i | −0.288095 | + | 0.166332i | ||||
\(673\) | −1.17684 | − | 0.679451i | −0.0453640 | − | 0.0261909i | 0.477146 | − | 0.878824i | \(-0.341671\pi\) |
−0.522510 | + | 0.852633i | \(0.675004\pi\) | |||||||
\(674\) | 0.195701 | + | 1.10988i | 0.00753812 | + | 0.0427508i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.89547 | + | 13.6754i | −0.303672 | + | 0.525975i | ||||
\(677\) | −17.1281 | + | 9.88891i | −0.658286 | + | 0.380062i | −0.791624 | − | 0.611009i | \(-0.790764\pi\) |
0.133338 | + | 0.991071i | \(0.457431\pi\) | |||||||
\(678\) | 6.44698 | + | 7.68321i | 0.247595 | + | 0.295072i | ||||
\(679\) | 25.0333 | − | 9.11139i | 0.960692 | − | 0.349663i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 26.8307 | + | 22.5136i | 1.02815 | + | 0.862724i | ||||
\(682\) | 9.49845 | + | 1.67483i | 0.363714 | + | 0.0641327i | ||||
\(683\) | − | 38.4380i | − | 1.47079i | −0.677640 | − | 0.735394i | \(-0.736997\pi\) | ||
0.677640 | − | 0.735394i | \(-0.263003\pi\) | |||||||
\(684\) | 19.3655 | + | 16.1731i | 0.740457 | + | 0.618396i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.79744 | + | 15.8651i | −0.106807 | + | 0.605731i | ||||
\(687\) | −22.7115 | + | 27.0665i | −0.866499 | + | 1.03265i | ||||
\(688\) | 1.99787 | − | 5.48910i | 0.0761681 | − | 0.209270i | ||||
\(689\) | −53.5888 | + | 19.5047i | −2.04157 | + | 0.743070i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.00672 | + | 6.93985i | 0.152423 | + | 0.264004i | 0.932118 | − | 0.362156i | \(-0.117959\pi\) |
−0.779695 | + | 0.626160i | \(0.784626\pi\) | |||||||
\(692\) | −2.09913 | − | 1.21193i | −0.0797971 | − | 0.0460708i | ||||
\(693\) | 22.8313 | − | 4.02578i | 0.867291 | − | 0.152927i | ||||
\(694\) | 2.23492 | + | 12.6748i | 0.0848362 | + | 0.481130i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −3.51233 | − | 6.08354i | −0.133135 | − | 0.230596i | ||||
\(697\) | −31.7401 | − | 37.8263i | −1.20224 | − | 1.43277i | ||||
\(698\) | −2.86521 | − | 7.87210i | −0.108450 | − | 0.297963i | ||||
\(699\) | −25.5852 | − | 9.31225i | −0.967721 | − | 0.352222i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.88207 | + | 27.6876i | −0.184393 | + | 1.04575i | 0.742339 | + | 0.670025i | \(0.233716\pi\) |
−0.926732 | + | 0.375722i | \(0.877395\pi\) | |||||||
\(702\) | 44.3533i | 1.67401i | ||||||||
\(703\) | −31.4166 | − | 18.0413i | −1.18490 | − | 0.680442i | ||||
\(704\) | −1.37686 | −0.0518924 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −11.5698 | − | 9.70819i | −0.435434 | − | 0.365372i | ||||
\(707\) | 4.92079 | − | 13.5198i | 0.185065 | − | 0.508463i | ||||
\(708\) | 8.16653 | + | 22.4374i | 0.306917 | + | 0.843248i | ||||
\(709\) | 25.7736 | − | 21.6266i | 0.967946 | − | 0.812204i | −0.0142810 | − | 0.999898i | \(-0.504546\pi\) |
0.982227 | + | 0.187694i | \(0.0601015\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 23.8464 | − | 41.3032i | 0.894311 | − | 1.54899i | ||||
\(712\) | −11.8906 | + | 2.09663i | −0.445617 | + | 0.0785744i | ||||
\(713\) | 11.0181 | − | 1.94278i | 0.412630 | − | 0.0727578i | ||||
\(714\) | −22.8592 | + | 39.5934i | −0.855485 | + | 1.48174i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 13.8586 | − | 11.6288i | 0.517921 | − | 0.434587i | ||||
\(717\) | 5.48442 | + | 15.0683i | 0.204820 | + | 0.562737i | ||||
\(718\) | 11.5172 | − | 31.6434i | 0.429820 | − | 1.18092i | ||||
\(719\) | 0.633806 | + | 0.531826i | 0.0236370 | + | 0.0198338i | 0.654530 | − | 0.756036i | \(-0.272867\pi\) |
−0.630893 | + | 0.775870i | \(0.717311\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.0223 | 0.596700 | ||||||||
\(722\) | −6.58115 | − | 17.8238i | −0.244925 | − | 0.663334i | ||||
\(723\) | 78.8333i | 2.93184i | ||||||||
\(724\) | 3.48949 | − | 19.7899i | 0.129686 | − | 0.735484i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −25.3620 | − | 9.23101i | −0.941272 | − | 0.342595i | ||||
\(727\) | −16.1735 | − | 44.4363i | −0.599842 | − | 1.64805i | −0.751588 | − | 0.659633i | \(-0.770712\pi\) |
0.151745 | − | 0.988420i | \(-0.451511\pi\) | |||||||
\(728\) | 10.0330 | + | 11.9569i | 0.371848 | + | 0.443152i | ||||
\(729\) | −16.0934 | − | 27.8746i | −0.596052 | − | 1.03239i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.37759 | − | 30.4978i | −0.198897 | − | 1.12800i | ||||
\(732\) | −45.0959 | + | 7.95162i | −1.66679 | + | 0.293900i | ||||
\(733\) | 9.72810 | + | 5.61652i | 0.359315 | + | 0.207451i | 0.668780 | − | 0.743460i | \(-0.266817\pi\) |
−0.309465 | + | 0.950911i | \(0.600150\pi\) | |||||||
\(734\) | −2.10248 | − | 3.64161i | −0.0776041 | − | 0.134414i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.50082 | + | 0.546254i | −0.0553210 | + | 0.0201352i | ||||
\(737\) | 4.82534 | − | 13.2575i | 0.177744 | − | 0.488347i | ||||
\(738\) | −34.6545 | + | 41.2996i | −1.27565 | + | 1.52026i | ||||
\(739\) | −4.49255 | + | 25.4785i | −0.165261 | + | 0.937242i | 0.783534 | + | 0.621349i | \(0.213415\pi\) |
−0.948795 | + | 0.315893i | \(0.897696\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 34.5286 | − | 60.1269i | 1.26844 | − | 2.20882i | ||||
\(742\) | 30.9169i | 1.13500i | ||||||||
\(743\) | −42.9858 | − | 7.57956i | −1.57700 | − | 0.278067i | −0.684463 | − | 0.729047i | \(-0.739963\pi\) |
−0.892534 | + | 0.450980i | \(0.851075\pi\) | |||||||
\(744\) | 15.9081 | + | 13.3485i | 0.583219 | + | 0.489379i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −5.03309 | + | 1.83189i | −0.184274 | + | 0.0670704i | ||||
\(747\) | 1.80338 | + | 2.14918i | 0.0659821 | + | 0.0786344i | ||||
\(748\) | −6.32154 | + | 3.64974i | −0.231138 | + | 0.133448i | ||||
\(749\) | −9.13300 | + | 15.8188i | −0.333713 | + | 0.578007i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.63508 | + | 20.6156i | 0.132646 | + | 0.752273i | 0.976470 | + | 0.215653i | \(0.0691881\pi\) |
−0.843824 | + | 0.536620i | \(0.819701\pi\) | |||||||
\(752\) | 2.12285 | + | 1.22563i | 0.0774125 | + | 0.0446941i | ||||
\(753\) | −3.88354 | + | 2.24216i | −0.141524 | + | 0.0817089i | ||||
\(754\) | −9.73989 | + | 8.17274i | −0.354706 | + | 0.297634i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 22.5954 | + | 8.22406i | 0.821787 | + | 0.299106i | ||||
\(757\) | −12.7499 | + | 15.1947i | −0.463403 | + | 0.552262i | −0.946247 | − | 0.323444i | \(-0.895159\pi\) |
0.482844 | + | 0.875706i | \(0.339604\pi\) | |||||||
\(758\) | 5.77423 | + | 1.01815i | 0.209730 | + | 0.0369810i | ||||
\(759\) | 6.51908 | 0.236628 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.8607 | −0.393700 | −0.196850 | − | 0.980434i | \(-0.563071\pi\) | ||||
−0.196850 | + | 0.980434i | \(0.563071\pi\) | |||||||
\(762\) | −23.9403 | − | 4.22133i | −0.867267 | − | 0.152923i | ||||
\(763\) | 10.2386 | − | 12.2019i | 0.370662 | − | 0.441738i | ||||
\(764\) | −6.89144 | − | 2.50828i | −0.249323 | − | 0.0907463i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.1962 | − | 18.6249i | 0.801983 | − | 0.672944i | ||||
\(767\) | 37.4275 | − | 21.6088i | 1.35143 | − | 0.780248i | ||||
\(768\) | −2.56734 | − | 1.48226i | −0.0926410 | − | 0.0534863i | ||||
\(769\) | −2.51395 | − | 14.2573i | −0.0906553 | − | 0.514132i | −0.995992 | − | 0.0894380i | \(-0.971493\pi\) |
0.905337 | − | 0.424694i | \(-0.139618\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.1735 | + | 17.6210i | −0.366389 | + | 0.634604i | ||||
\(772\) | 22.2502 | − | 12.8461i | 0.800802 | − | 0.462343i | ||||
\(773\) | −23.0096 | − | 27.4218i | −0.827597 | − | 0.986292i | −0.999999 | − | 0.00126532i | \(-0.999597\pi\) |
0.172402 | − | 0.985027i | \(-0.444847\pi\) | |||||||
\(774\) | −31.7728 | + | 11.5643i | −1.14205 | + | 0.415672i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.01537 | + | 5.88660i | 0.251837 | + | 0.211317i | ||||
\(777\) | −70.5850 | − | 12.4460i | −2.53222 | − | 0.446499i | ||||
\(778\) | 3.76475i | 0.134973i | ||||||||
\(779\) | 38.1182 | − | 13.9741i | 1.36573 | − | 0.500675i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.602339 | − | 3.41603i | 0.0215534 | − | 0.122235i | ||||
\(782\) | −5.44268 | + | 6.48633i | −0.194630 | + | 0.231951i | ||||
\(783\) | −6.69919 | + | 18.4059i | −0.239409 | + | 0.657772i | ||||
\(784\) | 1.37382 | − | 0.500029i | 0.0490650 | − | 0.0178582i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 28.2547 | + | 48.9386i | 1.00781 | + | 1.74558i | ||||
\(787\) | −12.4112 | − | 7.16560i | −0.442411 | − | 0.255426i | 0.262209 | − | 0.965011i | \(-0.415549\pi\) |
−0.704620 | + | 0.709585i | \(0.748882\pi\) | |||||||
\(788\) | 12.9814 | − | 2.28898i | 0.462445 | − | 0.0815415i | ||||
\(789\) | −10.5649 | − | 59.9168i | −0.376122 | − | 2.13309i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.92087 | − | 8.52320i | −0.174966 | − | 0.303050i | ||||
\(792\) | 5.12284 | + | 6.10517i | 0.182032 | + | 0.216938i | ||||
\(793\) | 28.3473 | + | 77.8835i | 1.00664 | + | 2.76573i | ||||
\(794\) | 17.7629 | + | 6.46515i | 0.630380 | + | 0.229440i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.78833 | − | 10.1421i | 0.0633857 | − | 0.359478i | ||||
\(797\) | − | 17.7667i | − | 0.629330i | −0.949203 | − | 0.314665i | \(-0.898108\pi\) | ||
0.949203 | − | 0.314665i | \(-0.101892\pi\) | |||||||
\(798\) | −24.2288 | − | 28.7391i | −0.857690 | − | 1.01735i | ||||
\(799\) | 12.9955 | 0.459746 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 53.5375 | + | 44.9233i | 1.89166 | + | 1.58729i | ||||
\(802\) | 4.16319 | − | 11.4383i | 0.147007 | − | 0.403900i | ||||
\(803\) | 3.20533 | + | 8.80657i | 0.113114 | + | 0.310777i | ||||
\(804\) | 23.2698 | − | 19.5257i | 0.820664 | − | 0.688619i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 18.7936 | − | 32.5514i | 0.661975 | − | 1.14657i | ||||
\(807\) | 51.2445 | − | 9.03580i | 1.80389 | − | 0.318075i | ||||
\(808\) | 4.87078 | − | 0.858850i | 0.171353 | − | 0.0302142i | ||||
\(809\) | −5.86927 | + | 10.1659i | −0.206353 | + | 0.357413i | −0.950563 | − | 0.310532i | \(-0.899493\pi\) |
0.744210 | + | 0.667946i | \(0.232826\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.28725 | + | 6.95383i | −0.291005 | + | 0.244182i | −0.776588 | − | 0.630008i | \(-0.783052\pi\) |
0.485584 | + | 0.874190i | \(0.338607\pi\) | |||||||
\(812\) | 2.35755 | + | 6.47730i | 0.0827336 | + | 0.227309i | ||||
\(813\) | 8.81052 | − | 24.2067i | 0.308999 | − | 0.848967i | ||||
\(814\) | −8.76628 | − | 7.35579i | −0.307258 | − | 0.257820i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −15.7165 | −0.550187 | ||||||||
\(817\) | 25.0854 | + | 4.36325i | 0.877625 | + | 0.152651i | ||||
\(818\) | 28.2694i | 0.988415i | ||||||||
\(819\) | 15.6887 | − | 88.9753i | 0.548209 | − | 3.10905i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 12.0721 | + | 4.39387i | 0.421318 | + | 0.153347i | 0.543974 | − | 0.839102i | \(-0.316919\pi\) |
−0.122656 | + | 0.992449i | \(0.539141\pi\) | |||||||
\(822\) | 12.7510 | + | 35.0332i | 0.444744 | + | 1.22192i | ||||
\(823\) | 7.30126 | + | 8.70130i | 0.254506 | + | 0.303308i | 0.878136 | − | 0.478411i | \(-0.158787\pi\) |
−0.623630 | + | 0.781720i | \(0.714343\pi\) | |||||||
\(824\) | 2.75396 | + | 4.77000i | 0.0959387 | + | 0.166171i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.06854 | − | 23.0739i | −0.141563 | − | 0.802842i | ||||
\(827\) | 25.7071 | − | 4.53285i | 0.893923 | − | 0.157623i | 0.292228 | − | 0.956349i | \(-0.405603\pi\) |
0.601695 | + | 0.798726i | \(0.294492\pi\) | |||||||
\(828\) | 8.00622 | + | 4.62239i | 0.278235 | + | 0.160639i | ||||
\(829\) | −12.3906 | − | 21.4611i | −0.430342 | − | 0.745374i | 0.566561 | − | 0.824020i | \(-0.308274\pi\) |
−0.996903 | + | 0.0786462i | \(0.974940\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 22.9016 | − | 8.33551i | 0.794449 | − | 0.289156i | ||||
\(832\) | −1.83518 | + | 5.04213i | −0.0636236 | + | 0.174804i | ||||
\(833\) | 4.98211 | − | 5.93745i | 0.172620 | − | 0.205720i | ||||
\(834\) | 4.46871 | − | 25.3433i | 0.154739 | − | 0.877567i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −1.05587 | − | 5.90799i | −0.0365182 | − | 0.204332i | ||||
\(837\) | − | 57.9041i | − | 2.00146i | ||||||
\(838\) | 11.3550 | + | 2.00219i | 0.392251 | + | 0.0691644i | ||||
\(839\) | 24.0765 | + | 20.2026i | 0.831214 | + | 0.697472i | 0.955569 | − | 0.294766i | \(-0.0952417\pi\) |
−0.124355 | + | 0.992238i | \(0.539686\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.9748 | − | 7.99816i | 0.757751 | − | 0.275799i | ||||
\(842\) | −13.3719 | − | 15.9361i | −0.460828 | − | 0.549193i | ||||
\(843\) | 41.7961 | − | 24.1310i | 1.43953 | − | 0.831115i | ||||
\(844\) | −7.91528 | + | 13.7097i | −0.272455 | + | 0.471906i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −2.46385 | − | 13.9732i | −0.0847087 | − | 0.480407i | ||||
\(847\) | 22.9357 | + | 13.2419i | 0.788079 | + | 0.454997i | ||||
\(848\) | −9.20430 | + | 5.31410i | −0.316077 | + | 0.182487i | ||||
\(849\) | −14.1953 | + | 11.9112i | −0.487180 | + | 0.408793i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −12.4739 | − | 4.54011i | −0.427598 | − | 0.155633i | ||||
\(852\) | 4.80067 | − | 5.72121i | 0.164468 | − | 0.196005i | ||||
\(853\) | 39.5963 | + | 6.98190i | 1.35575 | + | 0.239056i | 0.803840 | − | 0.594846i | \(-0.202787\pi\) |
0.551913 | + | 0.833902i | \(0.313898\pi\) | |||||||
\(854\) | 44.9333 | 1.53759 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.27924 | −0.214620 | ||||||||
\(857\) | −4.70367 | − | 0.829384i | −0.160674 | − | 0.0283312i | 0.0927323 | − | 0.995691i | \(-0.470440\pi\) |
−0.253407 | + | 0.967360i | \(0.581551\pi\) | |||||||
\(858\) | 14.0779 | − | 16.7774i | 0.480613 | − | 0.572772i | ||||
\(859\) | −9.73955 | − | 3.54491i | −0.332309 | − | 0.120951i | 0.170476 | − | 0.985362i | \(-0.445469\pi\) |
−0.502786 | + | 0.864411i | \(0.667692\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 61.5292 | − | 51.6292i | 2.09691 | − | 1.75952i | ||||
\(862\) | 2.33429 | − | 1.34770i | 0.0795061 | − | 0.0459029i | ||||
\(863\) | −27.4609 | − | 15.8545i | −0.934779 | − | 0.539695i | −0.0464590 | − | 0.998920i | \(-0.514794\pi\) |
−0.888320 | + | 0.459225i | \(0.848127\pi\) | |||||||
\(864\) | 1.43539 | + | 8.14047i | 0.0488328 | + | 0.276945i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 15.3359 | − | 26.5626i | 0.521135 | − | 0.902632i | ||||
\(867\) | −28.5138 | + | 16.4624i | −0.968379 | + | 0.559094i | ||||
\(868\) | −13.0983 | − | 15.6099i | −0.444585 | − | 0.529836i | ||||
\(869\) | −10.6605 | + | 3.88009i | −0.361631 | + | 0.131623i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −42.1180 | − | 35.3412i | −1.42711 | − | 1.19749i | ||||
\(872\) | 5.39247 | + | 0.950839i | 0.182612 | + | 0.0321995i | ||||
\(873\) | − | 53.0091i | − | 1.79409i | ||||||
\(874\) | −3.49486 | − | 6.02098i | −0.118216 | − | 0.203663i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −3.50392 | + | 19.8717i | −0.118387 | + | 0.671403i | ||||
\(877\) | 4.04949 | − | 4.82600i | 0.136742 | − | 0.162962i | −0.693328 | − | 0.720622i | \(-0.743856\pi\) |
0.830070 | + | 0.557660i | \(0.188301\pi\) | |||||||
\(878\) | 8.55996 | − | 23.5183i | 0.288885 | − | 0.793705i | ||||
\(879\) | −42.3708 | + | 15.4217i | −1.42913 | + | 0.520162i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −26.9351 | − | 46.6530i | −0.907468 | − | 1.57178i | −0.817570 | − | 0.575830i | \(-0.804679\pi\) |
−0.0898984 | − | 0.995951i | \(-0.528654\pi\) | |||||||
\(882\) | −7.32872 | − | 4.23124i | −0.246771 | − | 0.142473i | ||||
\(883\) | −1.94292 | + | 0.342590i | −0.0653846 | + | 0.0115291i | −0.206245 | − | 0.978500i | \(-0.566124\pi\) |
0.140860 | + | 0.990030i | \(0.455013\pi\) | |||||||
\(884\) | 4.93970 | + | 28.0144i | 0.166140 | + | 0.942227i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −17.5555 | − | 30.4071i | −0.589789 | − | 1.02155i | ||||
\(887\) | 17.3589 | + | 20.6876i | 0.582856 | + | 0.694621i | 0.974216 | − | 0.225617i | \(-0.0724397\pi\) |
−0.391360 | + | 0.920238i | \(0.627995\pi\) | |||||||
\(888\) | −8.42707 | − | 23.1532i | −0.282794 | − | 0.776970i | ||||
\(889\) | 22.4155 | + | 8.15856i | 0.751790 | + | 0.273629i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.70705 | − | 9.68119i | 0.0571885 | − | 0.324332i | ||||
\(892\) | − | 3.28624i | − | 0.110031i | ||||||
\(893\) | −3.63111 | + | 10.0489i | −0.121511 | + | 0.336273i | ||||
\(894\) | 48.5536 | 1.62388 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.22838 | + | 1.86984i | 0.0744451 | + | 0.0624669i | ||||
\(897\) | 8.68913 | − | 23.8732i | 0.290121 | − | 0.797102i | ||||
\(898\) | −0.873122 | − | 2.39888i | −0.0291365 | − | 0.0800518i | ||||
\(899\) | 12.7156 | − | 10.6697i | 0.424090 | − | 0.355853i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −28.1729 | + | 48.7970i | −0.938577 | + | 1.62566i | ||||
\(902\) | 12.6293 | − | 2.22689i | 0.420510 | − | 0.0741473i | ||||
\(903\) | 49.6085 | − | 8.74733i | 1.65087 | − | 0.291093i | ||||
\(904\) | 1.69163 | − | 2.92999i | 0.0562628 | − | 0.0974501i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −29.2600 | + | 24.5520i | −0.972097 | + | 0.815686i | ||||
\(907\) | 8.43355 | + | 23.1710i | 0.280031 | + | 0.769380i | 0.997358 | + | 0.0726427i | \(0.0231433\pi\) |
−0.717327 | + | 0.696737i | \(0.754635\pi\) | |||||||
\(908\) | 4.04088 | − | 11.1022i | 0.134101 | − | 0.368440i | ||||
\(909\) | −21.9308 | − | 18.4021i | −0.727399 | − | 0.610360i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −10.4670 | −0.346787 | −0.173394 | − | 0.984853i | \(-0.555473\pi\) | ||||
−0.173394 | + | 0.984853i | \(0.555473\pi\) | |||||||
\(912\) | 4.39141 | − | 12.1529i | 0.145414 | − | 0.402424i | ||||
\(913\) | − | 0.667352i | − | 0.0220861i | ||||||
\(914\) | −5.03718 | + | 28.5672i | −0.166615 | + | 0.944920i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.1998 | + | 4.07640i | 0.370053 | + | 0.134688i | ||||
\(917\) | −18.9651 | − | 52.1063i | −0.626284 | − | 1.72070i | ||||
\(918\) | 28.1688 | + | 33.5702i | 0.929708 | + | 1.10798i | ||||
\(919\) | −12.5834 | − | 21.7950i | −0.415087 | − | 0.718952i | 0.580351 | − | 0.814367i | \(-0.302916\pi\) |
−0.995438 | + | 0.0954150i | \(0.969582\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.334319 | + | 1.89602i | 0.0110162 | + | 0.0624759i | ||||
\(922\) | −36.9060 | + | 6.50753i | −1.21544 | + | 0.214314i | ||||
\(923\) | −11.7068 | − | 6.75894i | −0.385335 | − | 0.222473i | ||||
\(924\) | −5.93676 | − | 10.2828i | −0.195305 | − | 0.338278i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 4.15816 | − | 1.51345i | 0.136645 | − | 0.0497349i | ||||
\(927\) | 10.9042 | − | 29.9590i | 0.358140 | − | 0.983982i | ||||
\(928\) | −1.52314 | + | 1.81521i | −0.0499995 | + | 0.0595871i | ||||
\(929\) | 3.26147 | − | 18.4967i | 0.107005 | − | 0.606857i | −0.883395 | − | 0.468629i | \(-0.844748\pi\) |
0.990400 | − | 0.138228i | \(-0.0441408\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.19912 | + | 5.51148i | 0.104847 | + | 0.180631i | ||||
\(932\) | 9.18438i | 0.300844i | ||||||||
\(933\) | 33.8227 | + | 5.96386i | 1.10731 | + | 0.195248i | ||||
\(934\) | 3.31664 | + | 2.78299i | 0.108524 | + | 0.0910623i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 29.1855 | − | 10.6227i | 0.953958 | − | 0.347212i | ||||
\(937\) | −9.00408 | − | 10.7306i | −0.294150 | − | 0.350555i | 0.598647 | − | 0.801013i | \(-0.295705\pi\) |
−0.892798 | + | 0.450458i | \(0.851261\pi\) | |||||||
\(938\) | −25.8139 | + | 14.9036i | −0.842852 | + | 0.486621i | ||||
\(939\) | 0.934141 | − | 1.61798i | 0.0304845 | − | 0.0528008i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 10.1772 | + | 57.7176i | 0.331766 | + | 1.88154i | 0.457082 | + | 0.889424i | \(0.348894\pi\) |
−0.125316 | + | 0.992117i | \(0.539994\pi\) | |||||||
\(942\) | 42.0790 | + | 24.2943i | 1.37101 | + | 0.791552i | ||||
\(943\) | 12.8829 | − | 7.43792i | 0.419523 | − | 0.242212i | ||||
\(944\) | 6.17002 | − | 5.17726i | 0.200817 | − | 0.168506i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.55773 | + | 2.75079i | 0.245723 | + | 0.0894359i | ||||
\(947\) | −0.912031 | + | 1.08692i | −0.0296370 | + | 0.0353200i | −0.780659 | − | 0.624957i | \(-0.785117\pi\) |
0.751022 | + | 0.660277i | \(0.229561\pi\) | |||||||
\(948\) | −24.0550 | − | 4.24154i | −0.781269 | − | 0.137759i | ||||
\(949\) | 36.5223 | 1.18557 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −27.6120 | −0.895382 | ||||||||
\(952\) | 15.1876 | + | 2.67799i | 0.492234 | + | 0.0867941i | ||||
\(953\) | −23.7773 | + | 28.3367i | −0.770223 | + | 0.917916i | −0.998448 | − | 0.0556922i | \(-0.982263\pi\) |
0.228225 | + | 0.973608i | \(0.426708\pi\) | |||||||
\(954\) | 57.8095 | + | 21.0410i | 1.87165 | + | 0.681226i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 4.14362 | − | 3.47691i | 0.134014 | − | 0.112451i | ||||
\(957\) | 8.37619 | − | 4.83599i | 0.270764 | − | 0.156325i | ||||
\(958\) | −6.48468 | − | 3.74393i | −0.209510 | − | 0.120961i | ||||
\(959\) | −6.35254 | − | 36.0270i | −0.205134 | − | 1.16337i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.03536 | + | 15.6497i | −0.291463 | + | 0.504829i | ||||
\(962\) | −38.6216 | + | 22.2982i | −1.24521 | + | 0.718922i | ||||
\(963\) | 23.3630 | + | 27.8429i | 0.752862 | + | 0.897226i | ||||
\(964\) | 24.9886 | − | 9.09512i | 0.804830 | − | 0.292934i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −10.5508 | − | 8.85320i | −0.339467 | − | 0.284847i | ||||
\(967\) | 3.64316 | + | 0.642387i | 0.117156 | + | 0.0206578i | 0.231919 | − | 0.972735i | \(-0.425500\pi\) |
−0.114763 | + | 0.993393i | \(0.536611\pi\) | |||||||
\(968\) | 9.10425i | 0.292622i | ||||||||
\(969\) | −12.0525 | − | 67.4380i | −0.387183 | − | 2.16642i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1.26262 | − | 7.16068i | 0.0405194 | − | 0.229797i | −0.957822 | − | 0.287361i | \(-0.907222\pi\) |
0.998342 | + | 0.0575637i | \(0.0183332\pi\) | |||||||
\(972\) | −2.33466 | + | 2.78234i | −0.0748843 | + | 0.0892436i | ||||
\(973\) | −8.63667 | + | 23.7291i | −0.276879 | + | 0.760719i | ||||
\(974\) | 16.7530 | − | 6.09760i | 0.536801 | − | 0.195380i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.72328 | + | 13.3771i | 0.247216 | + | 0.428191i | ||||
\(977\) | −9.69861 | − | 5.59949i | −0.310286 | − | 0.179144i | 0.336768 | − | 0.941587i | \(-0.390666\pi\) |
−0.647054 | + | 0.762444i | \(0.723999\pi\) | |||||||
\(978\) | 11.9135 | − | 2.10067i | 0.380951 | − | 0.0671719i | ||||
\(979\) | −2.88676 | − | 16.3716i | −0.0922613 | − | 0.523240i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.8475 | − | 27.4486i | −0.505971 | − | 0.876368i | ||||
\(982\) | −7.70951 | − | 9.18783i | −0.246020 | − | 0.293196i | ||||
\(983\) | 12.0730 | + | 33.1702i | 0.385068 | + | 1.05797i | 0.969193 | + | 0.246302i | \(0.0792154\pi\) |
−0.584125 | + | 0.811663i | \(0.698562\pi\) | |||||||
\(984\) | 25.9464 | + | 9.44372i | 0.827141 | + | 0.301055i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −2.18145 | + | 12.3716i | −0.0694714 | + | 0.393992i | ||||
\(987\) | 21.1387i | 0.672853i | ||||||||
\(988\) | −23.0427 | − | 4.00795i | −0.733085 | − | 0.127510i | ||||
\(989\) | 9.32951 | 0.296661 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.8273 | + | 13.2807i | 0.502771 | + | 0.421875i | 0.858577 | − | 0.512685i | \(-0.171349\pi\) |
−0.355806 | + | 0.934560i | \(0.615794\pi\) | |||||||
\(992\) | 2.39587 | − | 6.58259i | 0.0760689 | − | 0.208998i | ||||
\(993\) | 12.2338 | + | 33.6122i | 0.388229 | + | 1.06665i | ||||
\(994\) | −5.61398 | + | 4.71069i | −0.178065 | + | 0.149414i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0.718437 | − | 1.24437i | 0.0227645 | − | 0.0394293i | ||||
\(997\) | 44.3241 | − | 7.81553i | 1.40376 | − | 0.247520i | 0.580071 | − | 0.814566i | \(-0.303025\pi\) |
0.823687 | + | 0.567045i | \(0.191913\pi\) | |||||||
\(998\) | −6.62459 | + | 1.16809i | −0.209698 | + | 0.0369754i | ||||
\(999\) | −34.3510 | + | 59.4977i | −1.08682 | + | 1.88242i |
(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 | 950.2.u.f.549.3 | 24 | ||
5.2 | odd | 4 | 950.2.l.g.701.2 | 12 | |||
5.3 | odd | 4 | 190.2.k.c.131.1 | ✓ | 12 | ||
5.4 | even | 2 | inner | 950.2.u.f.549.2 | 24 | ||
19.9 | even | 9 | inner | 950.2.u.f.199.2 | 24 | ||
95.3 | even | 36 | 3610.2.a.bd.1.6 | 6 | |||
95.9 | even | 18 | inner | 950.2.u.f.199.3 | 24 | ||
95.28 | odd | 36 | 190.2.k.c.161.1 | yes | 12 | ||
95.47 | odd | 36 | 950.2.l.g.351.2 | 12 | |||
95.73 | odd | 36 | 3610.2.a.bf.1.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.c.131.1 | ✓ | 12 | 5.3 | odd | 4 | ||
190.2.k.c.161.1 | yes | 12 | 95.28 | odd | 36 | ||
950.2.l.g.351.2 | 12 | 95.47 | odd | 36 | |||
950.2.l.g.701.2 | 12 | 5.2 | odd | 4 | |||
950.2.u.f.199.2 | 24 | 19.9 | even | 9 | inner | ||
950.2.u.f.199.3 | 24 | 95.9 | even | 18 | inner | ||
950.2.u.f.549.2 | 24 | 5.4 | even | 2 | inner | ||
950.2.u.f.549.3 | 24 | 1.1 | even | 1 | trivial | ||
3610.2.a.bd.1.6 | 6 | 95.3 | even | 36 | |||
3610.2.a.bf.1.1 | 6 | 95.73 | odd | 36 |