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 | 549.2 | ||
Character | \(\chi\) | \(=\) | 950.549 |
Dual form | 950.2.u.f.199.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{9}\right)\) |
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 | \(-0.450855\pi\) |
0.946389 | − | 0.323028i | \(-0.104701\pi\) | |||||||
\(4\) | 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 | −0.893757 | − | 0.448552i | \(-0.851940\pi\) |
−0.0584207 | + | 0.998292i | \(0.518606\pi\) | |||||||
\(8\) | −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 | \(-0.955105\pi\) |
0.0334846 | − | 0.999439i | \(-0.489340\pi\) | |||||||
\(14\) | 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 | −0.500134 | − | 0.865948i | \(-0.666716\pi\) |
−0.766144 | + | 0.642669i | \(0.777827\pi\) | |||||||
\(18\) | 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 | −0.869623 | − | 0.493717i | \(-0.835638\pi\) |
0.983525 | + | 0.180774i | \(0.0578602\pi\) | |||||||
\(24\) | −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 | \(-0.760593\pi\) | ||
0.730242 | − | 0.683189i | \(-0.239407\pi\) | |||||||
\(38\) | 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 | \(0.0358278\pi\) |
−0.689000 | + | 0.724761i | \(0.741950\pi\) | |||||||
\(44\) | −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 | −0.346911 | − | 0.937898i | \(-0.612769\pi\) |
−0.00520990 | + | 0.999986i | \(0.501658\pi\) | |||||||
\(48\) | 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 | \(-0.628433\pi\) |
0.891939 | − | 0.452155i | \(-0.149345\pi\) | |||||||
\(54\) | 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 | 0.480985 | − | 0.876729i | \(-0.340279\pi\) |
0.751837 | + | 0.659349i | \(0.229168\pi\) | |||||||
\(68\) | −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 | −0.958689 | − | 0.284457i | \(-0.908187\pi\) |
0.446610 | + | 0.894729i | \(0.352631\pi\) | |||||||
\(74\) | −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 | −0.476786 | − | 0.879019i | \(-0.658198\pi\) |
0.522860 | + | 0.852419i | \(0.324865\pi\) | |||||||
\(84\) | −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 | −0.304120 | − | 0.952634i | \(-0.598362\pi\) |
−0.611599 | + | 0.791168i | \(0.709474\pi\) | |||||||
\(98\) | −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 | 0.246239 | − | 0.969209i | \(-0.420805\pi\) |
−0.716240 | + | 0.697854i | \(0.754139\pi\) | |||||||
\(104\) | 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 | −0.213558 | − | 0.976930i | \(-0.568505\pi\) |
0.739268 | + | 0.673412i | \(0.235172\pi\) | |||||||
\(108\) | −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 | \(0.0508706\pi\) | ||||
−0.987257 | + | 0.159135i | \(0.949129\pi\) | |||||||
\(114\) | −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 | 0.479682 | − | 0.877442i | \(-0.340752\pi\) |
−0.947408 | + | 0.320028i | \(0.896308\pi\) | |||||||
\(128\) | −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 | \(0.291636\pi\) |
−0.976317 | + | 0.216345i | \(0.930586\pi\) | |||||||
\(138\) | 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 | \(0.115814\pi\) |
−0.487150 | + | 0.873318i | \(0.661963\pi\) | |||||||
\(158\) | −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 | 0.631975 | − | 0.774989i | \(-0.282245\pi\) |
−0.355172 | + | 0.934801i | \(0.615578\pi\) | |||||||
\(164\) | −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 | \(-0.678737\pi\) |
0.951984 | − | 0.306149i | \(-0.0990404\pi\) | |||||||
\(168\) | 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 | 0.263651 | − | 0.964618i | \(-0.415073\pi\) |
−0.0821676 | + | 0.996619i | \(0.526184\pi\) | |||||||
\(174\) | −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 | \(0.597895\pi\) |
−0.886033 | + | 0.463622i | \(0.846550\pi\) | |||||||
\(194\) | 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 | −0.848112 | − | 0.529816i | \(-0.822261\pi\) |
0.0347781 | + | 0.999395i | \(0.488928\pi\) | |||||||
\(198\) | −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 | 0.971620 | − | 0.236548i | \(-0.0760159\pi\) |
−0.896354 | + | 0.443339i | \(0.853794\pi\) | |||||||
\(224\) | 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 | \(0.128246\pi\) | ||||
−0.919928 | + | 0.392086i | \(0.871754\pi\) | |||||||
\(228\) | 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 | 0.793265 | − | 0.608877i | \(-0.208380\pi\) |
−0.999055 | + | 0.0434743i | \(0.986157\pi\) | |||||||
\(234\) | 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 | −0.380438 | − | 0.924807i | \(-0.624227\pi\) |
−0.0411918 | + | 0.999151i | \(0.513115\pi\) | |||||||
\(258\) | −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 | −0.186461 | − | 0.982462i | \(-0.559702\pi\) |
0.999915 | + | 0.0130252i | \(0.00414617\pi\) | |||||||
\(264\) | 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 | 0.698399 | − | 0.715708i | \(-0.253896\pi\) |
−0.270622 | + | 0.962686i | \(0.587229\pi\) | |||||||
\(278\) | 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 | −0.0123385 | − | 0.999924i | \(-0.503928\pi\) |
−0.353588 | + | 0.935401i | \(0.615039\pi\) | |||||||
\(284\) | −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 | 0.0631781 | − | 0.998002i | \(-0.479876\pi\) |
−0.832706 | + | 0.553715i | \(0.813210\pi\) | |||||||
\(294\) | 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 | −0.777825 | − | 0.628480i | \(-0.783677\pi\) |
0.754000 | + | 0.656874i | \(0.228122\pi\) | |||||||
\(308\) | 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 | −0.156080 | − | 0.987744i | \(-0.549886\pi\) |
0.191161 | + | 0.981559i | \(0.438775\pi\) | |||||||
\(314\) | −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 | 0.571241 | − | 0.820782i | \(-0.306462\pi\) |
−0.907508 | + | 0.420036i | \(0.862018\pi\) | |||||||
\(318\) | 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 | 0.928751 | − | 0.370704i | \(-0.120883\pi\) |
−0.949748 | + | 0.313014i | \(0.898661\pi\) | |||||||
\(338\) | 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 | \(-0.998834\pi\) |
0.763686 | − | 0.645588i | \(-0.223388\pi\) | |||||||
\(348\) | 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 | 0.805918 | − | 0.592027i | \(-0.201672\pi\) |
−0.109751 | + | 0.993959i | \(0.535005\pi\) | |||||||
\(354\) | 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 | 0.831962 | − | 0.554832i | \(-0.187218\pi\) |
−0.690872 | + | 0.722977i | \(0.742773\pi\) | |||||||
\(368\) | 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 | −0.375083 | − | 0.926991i | \(-0.622386\pi\) |
0.615256 | + | 0.788327i | \(0.289052\pi\) | |||||||
\(374\) | −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 | \(0.487529\pi\) |
−0.990853 | + | 0.134942i | \(0.956915\pi\) | |||||||
\(384\) | −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 | −0.314278 | − | 0.949331i | \(-0.601762\pi\) |
−0.620015 | + | 0.784590i | \(0.712874\pi\) | |||||||
\(398\) | 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 | \(0.374868\pi\) |
−0.887203 | + | 0.461380i | \(0.847355\pi\) | |||||||
\(434\) | −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 | \(0.0917834\pi\) |
0.113567 | + | 0.993530i | \(0.463772\pi\) | |||||||
\(444\) | −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 | \(-0.762645\pi\) | ||
0.734631 | − | 0.678467i | \(-0.237355\pi\) | |||||||
\(458\) | −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 | −0.586398 | − | 0.810023i | \(-0.699455\pi\) |
0.408302 | + | 0.912847i | \(0.366121\pi\) | |||||||
\(464\) | −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 | 0.410732 | − | 0.911756i | \(-0.365273\pi\) |
−0.584238 | + | 0.811582i | \(0.698607\pi\) | |||||||
\(468\) | −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 | −0.807213 | − | 0.590261i | \(-0.799025\pi\) |
0.107575 | + | 0.994197i | \(0.465692\pi\) | |||||||
\(488\) | −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 | −0.0641748 | − | 0.997939i | \(-0.520442\pi\) |
0.281011 | + | 0.959705i | \(0.409330\pi\) | |||||||
\(504\) | −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 | 0.423697 | − | 0.905804i | \(-0.360732\pi\) |
0.707948 | + | 0.706265i | \(0.249621\pi\) | |||||||
\(524\) | 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 | \(-0.524313\pi\) |
0.699369 | − | 0.714761i | \(-0.253465\pi\) | |||||||
\(548\) | −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 | 0.904677 | − | 0.426097i | \(-0.140112\pi\) |
−0.576719 | + | 0.816942i | \(0.695667\pi\) | |||||||
\(558\) | 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 | \(0.727286\pi\) |
−0.981921 | + | 0.189293i | \(0.939380\pi\) | |||||||
\(564\) | −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 | −0.197942 | − | 0.980214i | \(-0.563426\pi\) |
0.749919 | + | 0.661530i | \(0.230093\pi\) | |||||||
\(578\) | −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 | −0.207313 | − | 0.978275i | \(-0.566472\pi\) |
−0.529400 | + | 0.848372i | \(0.677583\pi\) | |||||||
\(588\) | − | 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 | \(-0.706756\pi\) |
0.975212 | − | 0.221275i | \(-0.0710217\pi\) | |||||||
\(594\) | −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 | \(0.0287308\pi\) | ||||
−0.995929 | + | 0.0901381i | \(0.971269\pi\) | |||||||
\(608\) | 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 | 0.896531 | − | 0.442981i | \(-0.146079\pi\) |
−0.971525 | + | 0.236936i | \(0.923857\pi\) | |||||||
\(614\) | 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 | 0.472707 | − | 0.881220i | \(-0.343277\pi\) |
0.745594 | + | 0.666401i | \(0.232166\pi\) | |||||||
\(618\) | 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 | −0.983679 | − | 0.179931i | \(-0.942412\pi\) |
0.348012 | + | 0.937490i | \(0.386857\pi\) | |||||||
\(644\) | −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 | \(-0.829722\pi\) | ||
0.860297 | − | 0.509793i | \(-0.170278\pi\) | |||||||
\(648\) | 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 | −0.686441 | − | 0.727185i | \(-0.740828\pi\) |
0.286540 | + | 0.958068i | \(0.407495\pi\) | |||||||
\(654\) | −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 | 0.522510 | − | 0.852633i | \(-0.324996\pi\) |
−0.477146 | + | 0.878824i | \(0.658329\pi\) | |||||||
\(674\) | 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 | −0.133338 | − | 0.991071i | \(-0.542569\pi\) |
0.791624 | + | 0.611009i | \(0.209236\pi\) | |||||||
\(678\) | −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 | \(0.263003\pi\) | ||||
−0.677640 | + | 0.735394i | \(0.736997\pi\) | |||||||
\(684\) | 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 | \(0.229288\pi\) |
−0.151745 | + | 0.988420i | \(0.548489\pi\) | |||||||
\(728\) | −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 | 0.309465 | − | 0.950911i | \(-0.399850\pi\) |
−0.668780 | + | 0.743460i | \(0.733183\pi\) | |||||||
\(734\) | −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 | 0.892534 | − | 0.450980i | \(-0.148925\pi\) |
0.684463 | + | 0.729047i | \(0.260037\pi\) | |||||||
\(744\) | 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 | −0.482844 | − | 0.875706i | \(-0.660396\pi\) |
0.946247 | + | 0.323444i | \(0.104841\pi\) | |||||||
\(758\) | −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 | \(0.000402765\pi\) |
−0.172402 | + | 0.985027i | \(0.555153\pi\) | |||||||
\(774\) | −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 | 0.704620 | − | 0.709585i | \(-0.251118\pi\) |
−0.262209 | + | 0.965011i | \(0.584451\pi\) | |||||||
\(788\) | −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 | \(0.101892\pi\) | ||||
−0.949203 | + | 0.314665i | \(0.898108\pi\) | |||||||
\(798\) | 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 | 0.623630 | − | 0.781720i | \(-0.285657\pi\) |
−0.878136 | + | 0.478411i | \(0.841213\pi\) | |||||||
\(824\) | 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 | −0.601695 | − | 0.798726i | \(-0.705508\pi\) |
−0.292228 | + | 0.956349i | \(0.594397\pi\) | |||||||
\(828\) | −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 | −0.551913 | − | 0.833902i | \(-0.686102\pi\) |
−0.803840 | + | 0.594846i | \(0.797213\pi\) | |||||||
\(854\) | 44.9333 | 1.53759 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.27924 | −0.214620 | ||||||||
\(857\) | 4.70367 | + | 0.829384i | 0.160674 | + | 0.0283312i | 0.253407 | − | 0.967360i | \(-0.418449\pi\) |
−0.0927323 | + | 0.995691i | \(0.529560\pi\) | |||||||
\(858\) | −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 | 0.888320 | − | 0.459225i | \(-0.151873\pi\) |
0.0464590 | + | 0.998920i | \(0.485206\pi\) | |||||||
\(864\) | 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 | −0.830070 | − | 0.557660i | \(-0.811699\pi\) |
0.693328 | + | 0.720622i | \(0.256144\pi\) | |||||||
\(878\) | −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 | −0.140860 | − | 0.990030i | \(-0.544987\pi\) |
0.206245 | + | 0.978500i | \(0.433876\pi\) | |||||||
\(884\) | 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 | 0.391360 | − | 0.920238i | \(-0.372005\pi\) |
−0.974216 | + | 0.225617i | \(0.927560\pi\) | |||||||
\(888\) | 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 | \(-0.976857\pi\) |
0.717327 | − | 0.696737i | \(-0.245365\pi\) | |||||||
\(908\) | −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 | 0.892798 | − | 0.450458i | \(-0.148739\pi\) |
−0.598647 | + | 0.801013i | \(0.704295\pi\) | |||||||
\(938\) | 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 | −0.751022 | − | 0.660277i | \(-0.770439\pi\) |
0.780659 | + | 0.624957i | \(0.214883\pi\) | |||||||
\(948\) | 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 | −0.228225 | − | 0.973608i | \(-0.573292\pi\) |
0.998448 | + | 0.0556922i | \(0.0177366\pi\) | |||||||
\(954\) | 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 | 0.114763 | − | 0.993393i | \(-0.463389\pi\) |
−0.231919 | + | 0.972735i | \(0.574500\pi\) | |||||||
\(968\) | − | 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 | 0.647054 | − | 0.762444i | \(-0.276001\pi\) |
−0.336768 | + | 0.941587i | \(0.609334\pi\) | |||||||
\(978\) | −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 | \(-0.920785\pi\) |
0.584125 | − | 0.811663i | \(-0.301438\pi\) | |||||||
\(984\) | 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 | −0.823687 | − | 0.567045i | \(-0.808087\pi\) |
−0.580071 | + | 0.814566i | \(0.696975\pi\) | |||||||
\(998\) | 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.549.2 | 24 | ||
5.2 | odd | 4 | 190.2.k.c.131.1 | ✓ | 12 | ||
5.3 | odd | 4 | 950.2.l.g.701.2 | 12 | |||
5.4 | even | 2 | inner | 950.2.u.f.549.3 | 24 | ||
19.9 | even | 9 | inner | 950.2.u.f.199.3 | 24 | ||
95.9 | even | 18 | inner | 950.2.u.f.199.2 | 24 | ||
95.22 | even | 36 | 3610.2.a.bd.1.6 | 6 | |||
95.28 | odd | 36 | 950.2.l.g.351.2 | 12 | |||
95.47 | odd | 36 | 190.2.k.c.161.1 | yes | 12 | ||
95.92 | 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 | 5.2 | odd | 4 | ||
190.2.k.c.161.1 | yes | 12 | 95.47 | odd | 36 | ||
950.2.l.g.351.2 | 12 | 95.28 | odd | 36 | |||
950.2.l.g.701.2 | 12 | 5.3 | odd | 4 | |||
950.2.u.f.199.2 | 24 | 95.9 | even | 18 | inner | ||
950.2.u.f.199.3 | 24 | 19.9 | even | 9 | inner | ||
950.2.u.f.549.2 | 24 | 1.1 | even | 1 | trivial | ||
950.2.u.f.549.3 | 24 | 5.4 | even | 2 | inner | ||
3610.2.a.bd.1.6 | 6 | 95.22 | even | 36 | |||
3610.2.a.bf.1.1 | 6 | 95.92 | odd | 36 |