Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
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([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 24x^{10} + 264x^{8} - 1511x^{6} + 4812x^{4} - 7788x^{2} + 5329 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 701.2 | ||
Root | \(2.79086 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.701 |
Dual form | 950.2.l.g.351.2 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 2.27095 | + | 1.90555i | 1.31113 | + | 1.10017i | 0.988105 | + | 0.153781i | \(0.0491452\pi\) |
0.323028 | + | 0.946389i | \(0.395299\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.27095 | + | 1.90555i | −0.927111 | + | 0.777938i | ||||
\(7\) | 1.45447 | + | 2.51922i | 0.549740 | + | 0.952177i | 0.998292 | + | 0.0584207i | \(0.0186065\pi\) |
−0.448552 | + | 0.893757i | \(0.648060\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 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 | \(0.233222\pi\) | |||||||
\(12\) | −1.48226 | − | 2.56734i | −0.427891 | − | 0.741128i | ||||
\(13\) | 4.11038 | − | 3.44902i | 1.14001 | − | 0.956585i | 0.140575 | − | 0.990070i | \(-0.455105\pi\) |
0.999439 | + | 0.0334846i | \(0.0106605\pi\) | |||||||
\(14\) | −2.73352 | + | 0.994919i | −0.730564 | + | 0.265903i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.920603 | + | 5.22100i | −0.223279 | + | 1.26628i | 0.642669 | + | 0.766144i | \(0.277827\pi\) |
−0.865948 | + | 0.500134i | \(0.833284\pi\) | |||||||
\(18\) | −5.78833 | −1.36432 | ||||||||
\(19\) | 2.17069 | − | 3.77996i | 0.497990 | − | 0.867183i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.49748 | + | 8.49261i | −0.326776 | + | 1.85324i | ||||
\(22\) | −1.05474 | − | 0.885029i | −0.224871 | − | 0.188689i | ||||
\(23\) | 1.50082 | + | 0.546254i | 0.312943 | + | 0.113902i | 0.493717 | − | 0.869623i | \(-0.335638\pi\) |
−0.180774 | + | 0.983525i | \(0.557860\pi\) | |||||||
\(24\) | 2.78573 | − | 1.01392i | 0.568635 | − | 0.206966i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.68286 | + | 4.64685i | 0.526152 | + | 0.911322i | ||||
\(27\) | −4.13303 | + | 7.15861i | −0.795401 | + | 1.37768i | ||||
\(28\) | −0.505134 | − | 2.86476i | −0.0954613 | − | 0.541388i | ||||
\(29\) | −0.411474 | − | 2.33359i | −0.0764088 | − | 0.433336i | −0.998882 | − | 0.0472746i | \(-0.984946\pi\) |
0.922473 | − | 0.386061i | \(-0.126165\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.50252 | − | 6.06655i | −0.629072 | − | 1.08958i | −0.987738 | − | 0.156119i | \(-0.950102\pi\) |
0.358666 | − | 0.933466i | \(-0.383232\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | −3.83556 | + | 1.39603i | −0.667686 | + | 0.243018i | ||||
\(34\) | −4.98182 | − | 1.81323i | −0.854375 | − | 0.310967i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00513 | − | 5.70040i | 0.167522 | − | 0.950066i | ||||
\(37\) | −8.31135 | −1.36638 | −0.683189 | − | 0.730242i | \(-0.739407\pi\) | ||||
−0.683189 | + | 0.730242i | \(0.739407\pi\) | |||||||
\(38\) | 3.34560 | + | 2.79409i | 0.542728 | + | 0.453262i | ||||
\(39\) | 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 | \(0.981449\pi\) | |||||||
\(42\) | −8.10355 | − | 2.94945i | −1.25040 | − | 0.455110i | ||||
\(43\) | −5.48910 | + | 1.99787i | −0.837080 | + | 0.304672i | −0.724761 | − | 0.689000i | \(-0.758050\pi\) |
−0.112319 | + | 0.993672i | \(0.535828\pi\) | |||||||
\(44\) | 1.05474 | − | 0.885029i | 0.159008 | − | 0.133423i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.798570 | + | 1.38316i | −0.117743 | + | 0.203936i | ||||
\(47\) | 0.425657 | + | 2.41402i | 0.0620885 | + | 0.352121i | 0.999986 | + | 0.00520990i | \(0.00165837\pi\) |
−0.937898 | + | 0.346911i | \(0.887231\pi\) | |||||||
\(48\) | 0.514782 | + | 2.91947i | 0.0743024 | + | 0.421390i | ||||
\(49\) | −0.730994 | + | 1.26612i | −0.104428 | + | 0.180874i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −12.0395 | + | 10.1024i | −1.68587 | + | 1.41461i | ||||
\(52\) | −5.04213 | + | 1.83518i | −0.699217 | + | 0.254494i | ||||
\(53\) | 9.98725 | + | 3.63506i | 1.37185 | + | 0.499314i | 0.919699 | − | 0.392625i | \(-0.128433\pi\) |
0.452155 | + | 0.891939i | \(0.350655\pi\) | |||||||
\(54\) | −6.33216 | − | 5.31332i | −0.861698 | − | 0.723051i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.90895 | 0.388725 | ||||||||
\(57\) | 12.1324 | − | 4.44774i | 1.60698 | − | 0.589118i | ||||
\(58\) | 2.36959 | 0.311142 | ||||||||
\(59\) | −1.39863 | + | 7.93202i | −0.182086 | + | 1.03266i | 0.747556 | + | 0.664199i | \(0.231227\pi\) |
−0.929642 | + | 0.368463i | \(0.879884\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 14.5150 | + | 5.28304i | 1.85846 | + | 0.676424i | 0.980127 | + | 0.198371i | \(0.0635652\pi\) |
0.878332 | + | 0.478052i | \(0.158657\pi\) | |||||||
\(62\) | 6.58259 | − | 2.39587i | 0.835990 | − | 0.304276i | ||||
\(63\) | −12.8986 | + | 10.8232i | −1.62508 | + | 1.36360i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.708783 | − | 4.01971i | −0.0872452 | − | 0.494792i | ||||
\(67\) | −1.77933 | − | 10.0911i | −0.217380 | − | 1.23282i | −0.876729 | − | 0.480985i | \(-0.840279\pi\) |
0.659349 | − | 0.751837i | \(-0.270832\pi\) | |||||||
\(68\) | 2.65077 | − | 4.59127i | 0.321453 | − | 0.556773i | ||||
\(69\) | 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 | \(0.436653\pi\) | |||||||
\(72\) | 5.43926 | + | 1.97973i | 0.641022 | + | 0.233313i | ||||
\(73\) | −5.21416 | − | 4.37520i | −0.610272 | − | 0.512079i | 0.284457 | − | 0.958689i | \(-0.408187\pi\) |
−0.894729 | + | 0.446610i | \(0.852631\pi\) | |||||||
\(74\) | 1.44325 | − | 8.18508i | 0.167774 | − | 0.951496i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.33260 | + | 2.80958i | −0.382276 | + | 0.322281i | ||||
\(77\) | −4.00522 | −0.456437 | ||||||||
\(78\) | −2.76218 | + | 15.6651i | −0.312755 | + | 1.77372i | ||||
\(79\) | −6.31181 | − | 5.29624i | −0.710134 | − | 0.595873i | 0.214503 | − | 0.976723i | \(-0.431187\pi\) |
−0.924637 | + | 0.380850i | \(0.875631\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.70923 | + | 2.44196i | −0.745470 | + | 0.271329i | ||||
\(82\) | 7.13497 | − | 5.98695i | 0.787926 | − | 0.661148i | ||||
\(83\) | 0.242346 | + | 0.419755i | 0.0266009 | + | 0.0460741i | 0.879019 | − | 0.476786i | \(-0.158198\pi\) |
−0.852419 | + | 0.522860i | \(0.824865\pi\) | |||||||
\(84\) | 4.31181 | − | 7.46827i | 0.470457 | − | 0.814855i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.01435 | − | 5.75264i | −0.109380 | − | 0.620323i | ||||
\(87\) | 3.51233 | − | 6.08354i | 0.376562 | − | 0.652224i | ||||
\(88\) | 0.688430 | + | 1.19240i | 0.0733869 | + | 0.127110i | ||||
\(89\) | 9.24921 | − | 7.76101i | 0.980414 | − | 0.822665i | −0.00373759 | − | 0.999993i | \(-0.501190\pi\) |
0.984152 | + | 0.177328i | \(0.0567453\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 14.6673 | + | 5.33846i | 1.53755 | + | 0.559622i | ||||
\(92\) | −1.22348 | − | 1.02662i | −0.127557 | − | 0.107033i | ||||
\(93\) | 3.60607 | − | 20.4511i | 0.373933 | − | 2.12068i | ||||
\(94\) | −2.45126 | −0.252828 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.96451 | −0.302564 | ||||||||
\(97\) | −1.59026 | + | 9.01879i | −0.161466 | + | 0.915719i | 0.791168 | + | 0.611599i | \(0.209474\pi\) |
−0.952634 | + | 0.304120i | \(0.901638\pi\) | |||||||
\(98\) | −1.11995 | − | 0.939748i | −0.113132 | − | 0.0949289i | ||||
\(99\) | −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 | \(0.198639\pi\) | |||||||
\(102\) | −7.85824 | − | 13.6109i | −0.778082 | − | 1.34768i | ||||
\(103\) | 2.75396 | − | 4.77000i | 0.271356 | − | 0.470002i | −0.697854 | − | 0.716240i | \(-0.745861\pi\) |
0.969209 | + | 0.246239i | \(0.0791947\pi\) | |||||||
\(104\) | −0.931747 | − | 5.28420i | −0.0913653 | − | 0.518159i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.31410 | + | 9.20430i | −0.516151 | + | 0.894000i | ||||
\(107\) | −3.13962 | − | 5.43798i | −0.303519 | − | 0.525710i | 0.673412 | − | 0.739268i | \(-0.264828\pi\) |
−0.976930 | + | 0.213558i | \(0.931495\pi\) | |||||||
\(108\) | 6.33216 | − | 5.31332i | 0.609313 | − | 0.511274i | ||||
\(109\) | −5.14544 | + | 1.87279i | −0.492844 | + | 0.179380i | −0.576473 | − | 0.817117i | \(-0.695571\pi\) |
0.0836288 | + | 0.996497i | \(0.473349\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −18.8746 | − | 15.8377i | −1.79150 | − | 1.50325i | ||||
\(112\) | −0.505134 | + | 2.86476i | −0.0477307 | + | 0.270694i | ||||
\(113\) | −3.38326 | −0.318271 | −0.159135 | − | 0.987257i | \(-0.550871\pi\) | ||||
−0.159135 | + | 0.987257i | \(0.550871\pi\) | |||||||
\(114\) | 2.27340 | + | 12.7205i | 0.212923 | + | 1.19138i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.411474 | + | 2.33359i | −0.0382044 | + | 0.216668i | ||||
\(117\) | 23.7923 | + | 19.9641i | 2.19959 | + | 1.84568i | ||||
\(118\) | −7.56865 | − | 2.75476i | −0.696751 | − | 0.253597i | ||||
\(119\) | −14.4919 | + | 5.27461i | −1.32847 | + | 0.483522i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.55213 | + | 7.88452i | 0.413830 | + | 0.716774i | ||||
\(122\) | −7.72328 | + | 13.3771i | −0.699233 | + | 1.21111i | ||||
\(123\) | −4.79470 | − | 27.1921i | −0.432324 | − | 2.45183i | ||||
\(124\) | 1.21641 | + | 6.89863i | 0.109237 | + | 0.619515i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −8.41899 | − | 14.5821i | −0.750023 | − | 1.29908i | ||||
\(127\) | −6.28174 | + | 5.27100i | −0.557414 | + | 0.467726i | −0.877442 | − | 0.479682i | \(-0.840752\pi\) |
0.320028 | + | 0.947408i | \(0.396308\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | −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 | \(-0.257666\pi\) | |||||||
\(132\) | 4.08172 | 0.355268 | ||||||||
\(133\) | 12.6798 | − | 0.0294142i | 1.09948 | − | 0.00255054i | ||||
\(134\) | 10.2467 | 0.885184 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.06122 | + | 3.40777i | 0.348246 | + | 0.292213i | ||||
\(137\) | 11.8175 | + | 4.30123i | 1.00964 | + | 0.367479i | 0.793294 | − | 0.608838i | \(-0.208364\pi\) |
0.216345 | + | 0.976317i | \(0.430586\pi\) | |||||||
\(138\) | −4.44920 | + | 1.61938i | −0.378741 | + | 0.137851i | ||||
\(139\) | 6.64986 | − | 5.57990i | 0.564034 | − | 0.473281i | −0.315626 | − | 0.948884i | \(-0.602215\pi\) |
0.879660 | + | 0.475603i | \(0.157770\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.63340 | + | 6.29323i | −0.305987 | + | 0.529985i | ||||
\(142\) | −0.437473 | − | 2.48103i | −0.0367119 | − | 0.208203i | ||||
\(143\) | 1.28289 | + | 7.27561i | 0.107280 | + | 0.608417i | ||||
\(144\) | −2.89417 | + | 5.01285i | −0.241181 | + | 0.417737i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 5.21416 | − | 4.37520i | 0.431527 | − | 0.362094i | ||||
\(147\) | −4.07271 | + | 1.48234i | −0.335911 | + | 0.122262i | ||||
\(148\) | 7.81011 | + | 2.84265i | 0.641987 | + | 0.233664i | ||||
\(149\) | 12.5465 | + | 10.5278i | 1.02785 | + | 0.862467i | 0.990593 | − | 0.136839i | \(-0.0436942\pi\) |
0.0372549 | + | 0.999306i | \(0.488139\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.8845 | 1.04852 | 0.524261 | − | 0.851557i | \(-0.324341\pi\) | ||||
0.524261 | + | 0.851557i | \(0.324341\pi\) | |||||||
\(152\) | −2.18820 | − | 3.76985i | −0.177487 | − | 0.305775i | ||||
\(153\) | −30.6871 | −2.48090 | ||||||||
\(154\) | 0.695499 | − | 3.94437i | 0.0560449 | − | 0.317846i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −14.9474 | − | 5.44043i | −1.19675 | − | 0.435583i | ||||
\(157\) | 15.4017 | − | 5.60574i | 1.22919 | − | 0.447387i | 0.355867 | − | 0.934537i | \(-0.384186\pi\) |
0.873318 | + | 0.487150i | \(0.161963\pi\) | |||||||
\(158\) | 6.31181 | − | 5.29624i | 0.502141 | − | 0.421346i | ||||
\(159\) | 15.7537 | + | 27.2863i | 1.24935 | + | 2.16394i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.806770 | + | 4.57542i | 0.0635824 | + | 0.360594i | ||||
\(162\) | −1.23982 | − | 7.03135i | −0.0974092 | − | 0.552435i | ||||
\(163\) | −2.04034 | + | 3.53398i | −0.159812 | + | 0.276803i | −0.934801 | − | 0.355172i | \(-0.884422\pi\) |
0.774989 | + | 0.631975i | \(0.217755\pi\) | |||||||
\(164\) | 4.65702 | + | 8.06620i | 0.363652 | + | 0.629864i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.455461 | + | 0.165774i | −0.0353506 | + | 0.0128666i | ||||
\(167\) | −14.8948 | − | 5.42127i | −1.15260 | − | 0.419510i | −0.306149 | − | 0.951984i | \(-0.599040\pi\) |
−0.846447 | + | 0.532473i | \(0.821263\pi\) | |||||||
\(168\) | 6.60607 | + | 5.54315i | 0.509670 | + | 0.427664i | ||||
\(169\) | 2.74207 | − | 15.5510i | 0.210928 | − | 1.19623i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 23.7291 | + | 8.57441i | 1.81461 | + | 0.655701i | ||||
\(172\) | 5.84138 | 0.445401 | ||||||||
\(173\) | −0.420901 | + | 2.38705i | −0.0320005 | + | 0.181484i | −0.996619 | − | 0.0821676i | \(-0.973816\pi\) |
0.964618 | + | 0.263651i | \(0.0849268\pi\) | |||||||
\(174\) | 5.38121 | + | 4.51537i | 0.407948 | + | 0.342309i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.29383 | + | 0.470914i | −0.0975258 | + | 0.0354965i | ||||
\(177\) | −18.2911 | + | 15.3481i | −1.37484 | + | 1.15363i | ||||
\(178\) | 6.03699 | + | 10.4564i | 0.452492 | + | 0.783739i | ||||
\(179\) | −9.04557 | + | 15.6674i | −0.676098 | + | 1.17104i | 0.300049 | + | 0.953924i | \(0.402997\pi\) |
−0.976147 | + | 0.217112i | \(0.930336\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.48949 | − | 19.7899i | −0.259371 | − | 1.47097i | −0.784597 | − | 0.620006i | \(-0.787130\pi\) |
0.525226 | − | 0.850963i | \(-0.323981\pi\) | |||||||
\(182\) | −7.80430 | + | 13.5174i | −0.578493 | + | 1.00198i | ||||
\(183\) | 22.8958 | + | 39.6566i | 1.69250 | + | 2.93150i | ||||
\(184\) | 1.22348 | − | 1.02662i | 0.0901962 | − | 0.0756836i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 19.5142 | + | 7.10258i | 1.43085 | + | 0.520786i | ||||
\(187\) | −5.59173 | − | 4.69202i | −0.408908 | − | 0.343114i | ||||
\(188\) | 0.425657 | − | 2.41402i | 0.0310442 | − | 0.176061i | ||||
\(189\) | −24.0455 | −1.74906 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.33371 | −0.530649 | −0.265324 | − | 0.964159i | \(-0.585479\pi\) | ||||
−0.265324 | + | 0.964159i | \(0.585479\pi\) | |||||||
\(192\) | 0.514782 | − | 2.91947i | 0.0371512 | − | 0.210695i | ||||
\(193\) | −19.6814 | − | 16.5147i | −1.41670 | − | 1.18875i | −0.953079 | − | 0.302720i | \(-0.902105\pi\) |
−0.463622 | − | 0.886033i | \(-0.653450\pi\) | |||||||
\(194\) | −8.60563 | − | 3.13219i | −0.617848 | − | 0.224878i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.11995 | − | 0.939748i | 0.0799963 | − | 0.0671248i | ||||
\(197\) | 6.59085 | + | 11.4157i | 0.469579 | + | 0.813334i | 0.999395 | − | 0.0347781i | \(-0.0110724\pi\) |
−0.529816 | + | 0.848112i | \(0.677739\pi\) | |||||||
\(198\) | 3.98487 | − | 6.90199i | 0.283192 | − | 0.490503i | ||||
\(199\) | 1.78833 | + | 10.1421i | 0.126771 | + | 0.718957i | 0.980240 | + | 0.197812i | \(0.0633836\pi\) |
−0.853468 | + | 0.521144i | \(0.825505\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 15.1883 | − | 26.3069i | 1.07130 | − | 1.85555i | ||||
\(202\) | 2.47296 | + | 4.28329i | 0.173997 | + | 0.301371i | ||||
\(203\) | 5.28035 | − | 4.43074i | 0.370608 | − | 0.310977i | ||||
\(204\) | 14.7687 | − | 5.37535i | 1.03401 | − | 0.376350i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 4.21931 | + | 3.54042i | 0.293973 | + | 0.246673i | ||||
\(207\) | −1.60534 | + | 9.10434i | −0.111579 | + | 0.632795i | ||||
\(208\) | 5.36572 | 0.372046 | ||||||||
\(209\) | 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 | \(0.872119\pi\) | |||||||
\(212\) | −8.14168 | − | 6.83168i | −0.559173 | − | 0.469202i | ||||
\(213\) | −7.01810 | − | 2.55438i | −0.480873 | − | 0.175023i | ||||
\(214\) | 5.90056 | − | 2.14763i | 0.403354 | − | 0.146809i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 4.13303 | + | 7.15861i | 0.281217 | + | 0.487082i | ||||
\(217\) | 10.1887 | − | 17.6473i | 0.691652 | − | 1.19798i | ||||
\(218\) | −0.950839 | − | 5.39247i | −0.0643989 | − | 0.365224i | ||||
\(219\) | −3.50392 | − | 19.8717i | −0.236773 | − | 1.34281i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.2233 | + | 24.6355i | 0.956762 | + | 1.65716i | ||||
\(222\) | 18.8746 | − | 15.8377i | 1.26678 | − | 1.06296i | ||||
\(223\) | −3.08806 | + | 1.12396i | −0.206792 | + | 0.0752660i | −0.443339 | − | 0.896354i | \(-0.646206\pi\) |
0.236548 | + | 0.971620i | \(0.423984\pi\) | |||||||
\(224\) | −2.73352 | − | 0.994919i | −0.182641 | − | 0.0664758i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.587497 | − | 3.33186i | 0.0390797 | − | 0.221632i | ||||
\(227\) | 11.8147 | 0.784172 | 0.392086 | − | 0.919928i | \(-0.371754\pi\) | ||||
0.392086 | + | 0.919928i | \(0.371754\pi\) | |||||||
\(228\) | −12.9220 | + | 0.0299760i | −0.855779 | + | 0.00198521i | ||||
\(229\) | −11.9186 | −0.787604 | −0.393802 | − | 0.919195i | \(-0.628840\pi\) | ||||
−0.393802 | + | 0.919195i | \(0.628840\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.09564 | − | 7.63215i | −0.598450 | − | 0.502159i | ||||
\(232\) | −2.22668 | − | 0.810446i | −0.146189 | − | 0.0532084i | ||||
\(233\) | 8.63049 | − | 3.14124i | 0.565402 | − | 0.205790i | −0.0434743 | − | 0.999055i | \(-0.513843\pi\) |
0.608877 | + | 0.793265i | \(0.291620\pi\) | |||||||
\(234\) | −23.7923 | + | 19.9641i | −1.55535 | + | 1.30509i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 4.02719 | − | 6.97531i | 0.262148 | − | 0.454054i | ||||
\(237\) | −4.24154 | − | 24.0550i | −0.275518 | − | 1.56254i | ||||
\(238\) | −2.67799 | − | 15.1876i | −0.173588 | − | 0.984467i | ||||
\(239\) | −2.70456 | + | 4.68443i | −0.174943 | + | 0.303011i | −0.940142 | − | 0.340784i | \(-0.889308\pi\) |
0.765198 | + | 0.643795i | \(0.222641\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.3709 | − | 17.0932i | 1.31221 | − | 1.10107i | 0.324311 | − | 0.945951i | \(-0.394868\pi\) |
0.987895 | − | 0.155121i | \(-0.0495768\pi\) | |||||||
\(242\) | −8.55520 | + | 3.11384i | −0.549949 | + | 0.200165i | ||||
\(243\) | 3.41305 | + | 1.24225i | 0.218947 | + | 0.0796902i | ||||
\(244\) | −11.8328 | − | 9.92886i | −0.757515 | − | 0.635630i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 27.6116 | 1.76045 | ||||||||
\(247\) | −4.11481 | − | 23.0238i | −0.261819 | − | 1.46497i | ||||
\(248\) | −7.00505 | −0.444821 | ||||||||
\(249\) | −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 | \(0.595909\pi\) | |||||||
\(252\) | 15.8225 | − | 5.75893i | 0.996725 | − | 0.362778i | ||||
\(253\) | −1.68456 | + | 1.41352i | −0.105908 | + | 0.0888670i | ||||
\(254\) | −4.10011 | − | 7.10160i | −0.257264 | − | 0.445594i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1.19184 | + | 6.75923i | 0.0743446 | + | 0.421629i | 0.999151 | + | 0.0411918i | \(0.0131155\pi\) |
−0.924807 | + | 0.380438i | \(0.875773\pi\) | |||||||
\(258\) | 8.65842 | − | 14.9968i | 0.539050 | − | 0.933662i | ||||
\(259\) | −12.0886 | − | 20.9382i | −0.751152 | − | 1.30103i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.8888 | − | 4.69113i | 0.797795 | − | 0.290374i | ||||
\(262\) | 17.9124 | + | 6.51958i | 1.10663 | + | 0.402781i | ||||
\(263\) | 15.7216 | + | 13.1920i | 0.969437 | + | 0.813454i | 0.982462 | − | 0.186461i | \(-0.0597017\pi\) |
−0.0130252 | + | 0.999915i | \(0.504146\pi\) | |||||||
\(264\) | −0.708783 | + | 4.01971i | −0.0436226 | + | 0.247396i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −2.17285 | + | 12.4923i | −0.133226 | + | 0.765949i | ||||
\(267\) | 35.7935 | 2.19053 | ||||||||
\(268\) | −1.77933 | + | 10.0911i | −0.108690 | + | 0.616411i | ||||
\(269\) | 13.4461 | + | 11.2826i | 0.819824 | + | 0.687914i | 0.952931 | − | 0.303188i | \(-0.0980509\pi\) |
−0.133107 | + | 0.991102i | \(0.542495\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.16550 | + | 2.97200i | −0.496019 | + | 0.180536i | −0.577902 | − | 0.816106i | \(-0.696129\pi\) |
0.0818838 | + | 0.996642i | \(0.473906\pi\) | |||||||
\(272\) | −4.06122 | + | 3.40777i | −0.246247 | + | 0.206626i | ||||
\(273\) | 23.1360 | + | 40.0727i | 1.40025 | + | 2.42531i | ||||
\(274\) | −6.28797 | + | 10.8911i | −0.379870 | + | 0.657955i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.822180 | − | 4.66281i | −0.0494894 | − | 0.280668i | ||||
\(277\) | 4.11052 | − | 7.11964i | 0.246977 | − | 0.427778i | −0.715708 | − | 0.698399i | \(-0.753896\pi\) |
0.962686 | + | 0.270622i | \(0.0872293\pi\) | |||||||
\(278\) | 4.34039 | + | 7.51777i | 0.260319 | + | 0.450886i | ||||
\(279\) | 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 | \(0.772506\pi\) | |||||||
\(282\) | −5.56669 | − | 4.67100i | −0.331491 | − | 0.278154i | ||||
\(283\) | 1.08544 | − | 6.15584i | 0.0645228 | − | 0.365927i | −0.935401 | − | 0.353588i | \(-0.884961\pi\) |
0.999924 | − | 0.0123385i | \(-0.00392756\pi\) | |||||||
\(284\) | 2.51930 | 0.149493 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.38785 | −0.436853 | ||||||||
\(287\) | 4.70484 | − | 26.6825i | 0.277718 | − | 1.57502i | ||||
\(288\) | −4.43412 | − | 3.72067i | −0.261283 | − | 0.219243i | ||||
\(289\) | −10.4365 | − | 3.79859i | −0.613914 | − | 0.223447i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −20.7972 | + | 17.4509i | −1.21915 | + | 1.02299i | ||||
\(292\) | 3.40330 | + | 5.89470i | 0.199163 | + | 0.344961i | ||||
\(293\) | 7.60497 | − | 13.1722i | 0.444287 | − | 0.769528i | −0.553715 | − | 0.832706i | \(-0.686790\pi\) |
0.998002 | + | 0.0631781i | \(0.0201236\pi\) | |||||||
\(294\) | −0.752605 | − | 4.26824i | −0.0438928 | − | 0.248929i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −4.15567 | + | 7.19784i | −0.241544 | + | 0.418366i | ||||
\(297\) | −5.69060 | − | 9.85641i | −0.330202 | − | 0.571927i | ||||
\(298\) | −12.5465 | + | 10.5278i | −0.726798 | + | 0.609856i | ||||
\(299\) | 8.05299 | − | 2.93105i | 0.465716 | − | 0.169507i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.0168 | − | 10.9224i | −0.750278 | − | 0.629558i | ||||
\(302\) | −2.23736 | + | 12.6887i | −0.128746 | + | 0.730154i | ||||
\(303\) | 14.6622 | 0.842324 | ||||||||
\(304\) | 4.09256 | − | 1.50033i | 0.234724 | − | 0.0860498i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 5.32876 | − | 30.2209i | 0.304625 | − | 1.72761i | ||||
\(307\) | 0.497498 | + | 0.417451i | 0.0283937 | + | 0.0238252i | 0.656874 | − | 0.754000i | \(-0.271878\pi\) |
−0.628480 | + | 0.777825i | \(0.716323\pi\) | |||||||
\(308\) | 3.76367 | + | 1.36987i | 0.214455 | + | 0.0780553i | ||||
\(309\) | 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 | \(0.939866\pi\) | |||||||
\(312\) | 7.95337 | − | 13.7756i | 0.450271 | − | 0.779892i | ||||
\(313\) | 0.109436 | + | 0.620641i | 0.00618568 | + | 0.0350807i | 0.987744 | − | 0.156080i | \(-0.0498859\pi\) |
−0.981559 | + | 0.191161i | \(0.938775\pi\) | |||||||
\(314\) | 2.84611 | + | 16.1411i | 0.160615 | + | 0.910894i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.11974 | + | 7.13560i | 0.231754 | + | 0.401409i | ||||
\(317\) | −7.13509 | + | 5.98705i | −0.400746 | + | 0.336266i | −0.820782 | − | 0.571241i | \(-0.806462\pi\) |
0.420036 | + | 0.907508i | \(0.362018\pi\) | |||||||
\(318\) | −29.6073 | + | 10.7762i | −1.66030 | + | 0.604298i | ||||
\(319\) | 3.06583 | + | 1.11587i | 0.171654 | + | 0.0624768i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.23244 | − | 18.3321i | 0.180417 | − | 1.02320i | ||||
\(322\) | −4.64600 | −0.258912 | ||||||||
\(323\) | 17.7368 | + | 14.8130i | 0.986904 | + | 0.824217i | ||||
\(324\) | 7.13982 | 0.396656 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −3.12599 | − | 2.62302i | −0.173132 | − | 0.145275i | ||||
\(327\) | −15.2537 | − | 5.55190i | −0.843533 | − | 0.307021i | ||||
\(328\) | −8.75234 | + | 3.18559i | −0.483267 | + | 0.175895i | ||||
\(329\) | −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 | \(0.0590784\pi\) | |||||||
\(332\) | −0.0841657 | − | 0.477328i | −0.00461920 | − | 0.0261968i | ||||
\(333\) | −8.35402 | − | 47.3780i | −0.457797 | − | 2.59630i | ||||
\(334\) | 7.92536 | − | 13.7271i | 0.433657 | − | 0.751115i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −6.60607 | + | 5.54315i | −0.360391 | + | 0.302404i | ||||
\(337\) | −1.05903 | + | 0.385456i | −0.0576891 | + | 0.0209971i | −0.370704 | − | 0.928751i | \(-0.620883\pi\) |
0.313014 | + | 0.949748i | \(0.398661\pi\) | |||||||
\(338\) | 14.8386 | + | 5.40082i | 0.807115 | + | 0.293766i | ||||
\(339\) | −7.68321 | − | 6.44698i | −0.417295 | − | 0.350152i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.64498 | 0.522305 | ||||||||
\(342\) | −12.5647 | + | 21.8797i | −0.679419 | + | 1.18312i | ||||
\(343\) | 16.1098 | 0.869847 | ||||||||
\(344\) | −1.01435 | + | 5.75264i | −0.0546898 | + | 0.310161i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.27769 | − | 0.829012i | −0.122450 | − | 0.0445680i | ||||
\(347\) | −12.0942 | + | 4.40192i | −0.649250 | + | 0.236308i | −0.645588 | − | 0.763686i | \(-0.723388\pi\) |
−0.00366167 | + | 0.999993i | \(0.501166\pi\) | |||||||
\(348\) | −5.38121 | + | 4.51537i | −0.288463 | + | 0.242049i | ||||
\(349\) | 4.18866 | + | 7.25497i | 0.224214 | + | 0.388350i | 0.956083 | − | 0.293095i | \(-0.0946853\pi\) |
−0.731870 | + | 0.681445i | \(0.761352\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.70187 | + | 43.6795i | 0.411096 | + | 2.33144i | ||||
\(352\) | −0.239089 | − | 1.35594i | −0.0127435 | − | 0.0722720i | ||||
\(353\) | −7.55163 | + | 13.0798i | −0.401933 | + | 0.696168i | −0.993959 | − | 0.109751i | \(-0.964995\pi\) |
0.592027 | + | 0.805918i | \(0.298328\pi\) | |||||||
\(354\) | −11.9387 | − | 20.6784i | −0.634533 | − | 1.09904i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −11.3458 | + | 4.12955i | −0.601328 | + | 0.218866i | ||||
\(357\) | −42.9613 | − | 15.6366i | −2.27375 | − | 0.827579i | ||||
\(358\) | −13.8586 | − | 11.6288i | −0.732451 | − | 0.614599i | ||||
\(359\) | −5.84746 | + | 33.1626i | −0.308617 | + | 1.75025i | 0.297353 | + | 0.954768i | \(0.403896\pi\) |
−0.605970 | + | 0.795487i | \(0.707215\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.57624 | − | 16.4102i | −0.504013 | − | 0.863696i | ||||
\(362\) | 20.0951 | 1.05618 | ||||||||
\(363\) | −4.68671 | + | 26.5796i | −0.245988 | + | 1.39507i | ||||
\(364\) | −11.9569 | − | 10.0330i | −0.626711 | − | 0.525873i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −43.0300 | + | 15.6616i | −2.24921 | + | 0.818646i | ||||
\(367\) | 3.22119 | − | 2.70290i | 0.168145 | − | 0.141090i | −0.554832 | − | 0.831962i | \(-0.687218\pi\) |
0.722977 | + | 0.690872i | \(0.242773\pi\) | |||||||
\(368\) | 0.798570 | + | 1.38316i | 0.0416284 | + | 0.0721024i | ||||
\(369\) | 26.9564 | − | 46.6898i | 1.40329 | − | 2.43058i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.36867 | + | 30.4472i | 0.278727 | + | 1.58074i | ||||
\(372\) | −10.3833 | + | 17.9844i | −0.538348 | + | 0.932446i | ||||
\(373\) | 2.67805 | + | 4.63852i | 0.138664 | + | 0.240173i | 0.926991 | − | 0.375083i | \(-0.122386\pi\) |
−0.788327 | + | 0.615256i | \(0.789052\pi\) | |||||||
\(374\) | 5.59173 | − | 4.69202i | 0.289141 | − | 0.242618i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.30343 | + | 0.838381i | 0.118790 | + | 0.0432362i | ||||
\(377\) | −9.73989 | − | 8.17274i | −0.501630 | − | 0.420918i | ||||
\(378\) | 4.17546 | − | 23.6802i | 0.214763 | − | 1.21798i | ||||
\(379\) | −5.86331 | −0.301178 | −0.150589 | − | 0.988596i | \(-0.548117\pi\) | ||||
−0.150589 | + | 0.988596i | \(0.548117\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −24.3097 | −1.24542 | ||||||||
\(382\) | 1.27349 | − | 7.22230i | 0.0651572 | − | 0.369525i | ||||
\(383\) | −22.1962 | − | 18.6249i | −1.13418 | − | 0.951686i | −0.134942 | − | 0.990853i | \(-0.543085\pi\) |
−0.999233 | + | 0.0391675i | \(0.987529\pi\) | |||||||
\(384\) | 2.78573 | + | 1.01392i | 0.142159 | + | 0.0517415i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 19.6814 | − | 16.5147i | 1.00176 | − | 0.840576i | ||||
\(387\) | −16.9059 | − | 29.2819i | −0.859377 | − | 1.48848i | ||||
\(388\) | 4.57896 | − | 7.93099i | 0.232461 | − | 0.402635i | ||||
\(389\) | −0.653743 | − | 3.70756i | −0.0331461 | − | 0.187981i | 0.963739 | − | 0.266846i | \(-0.0859815\pi\) |
−0.996885 | + | 0.0788651i | \(0.974870\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.23365 | + | 7.33290i | −0.214105 | + | 0.370841i | ||||
\(392\) | 0.730994 | + | 1.26612i | 0.0369208 | + | 0.0639487i | ||||
\(393\) | 43.2888 | − | 36.3236i | 2.18363 | − | 1.83228i | ||||
\(394\) | −12.3868 | + | 4.50841i | −0.624036 | + | 0.227130i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 6.10517 | + | 5.12284i | 0.306796 | + | 0.257433i | ||||
\(397\) | −3.28244 | + | 18.6157i | −0.164741 | + | 0.934293i | 0.784590 | + | 0.620015i | \(0.212874\pi\) |
−0.949331 | + | 0.314278i | \(0.898238\pi\) | |||||||
\(398\) | −10.2986 | −0.516222 | ||||||||
\(399\) | 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 | \(-0.0427431\pi\) | |||||||
\(402\) | 23.2698 | + | 19.5257i | 1.16059 | + | 0.973854i | ||||
\(403\) | −35.3203 | − | 12.8556i | −1.75943 | − | 0.640381i | ||||
\(404\) | −4.64764 | + | 1.69160i | −0.231229 | + | 0.0841605i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.44650 | + | 5.96952i | 0.171047 | + | 0.296262i | ||||
\(407\) | 5.72179 | − | 9.91042i | 0.283618 | − | 0.491241i | ||||
\(408\) | 2.72914 | + | 15.4777i | 0.135113 | + | 0.766261i | ||||
\(409\) | −4.90892 | − | 27.8399i | −0.242731 | − | 1.37659i | −0.825705 | − | 0.564103i | \(-0.809222\pi\) |
0.582974 | − | 0.812491i | \(-0.301889\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 18.6408 | + | 32.2868i | 0.919482 | + | 1.59259i | ||||
\(412\) | −4.21931 | + | 3.54042i | −0.207870 | + | 0.174424i | ||||
\(413\) | −22.0168 | + | 8.01347i | −1.08338 | + | 0.394317i | ||||
\(414\) | −8.68726 | − | 3.16190i | −0.426955 | − | 0.155399i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.931747 | + | 5.28420i | −0.0456827 | + | 0.259079i | ||||
\(417\) | 25.7343 | 1.26021 | ||||||||
\(418\) | −5.63488 | + | 2.06574i | −0.275611 | + | 0.101039i | ||||
\(419\) | −11.5301 | −0.563284 | −0.281642 | − | 0.959520i | \(-0.590879\pi\) | ||||
−0.281642 | + | 0.959520i | \(0.590879\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.9361 | − | 13.3719i | −0.776676 | − | 0.651709i | 0.165733 | − | 0.986171i | \(-0.447001\pi\) |
−0.942409 | + | 0.334462i | \(0.891445\pi\) | |||||||
\(422\) | −14.8759 | − | 5.41437i | −0.724145 | − | 0.263567i | ||||
\(423\) | −13.3330 | + | 4.85283i | −0.648274 | + | 0.235953i | ||||
\(424\) | 8.14168 | − | 6.83168i | 0.395395 | − | 0.331776i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.73426 | − | 6.46792i | 0.180925 | − | 0.313372i | ||||
\(427\) | 7.80258 | + | 44.2506i | 0.377593 | + | 2.14144i | ||||
\(428\) | 1.09038 | + | 6.18385i | 0.0527055 | + | 0.298908i | ||||
\(429\) | −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 | \(0.257100\pi\) | |||||||
\(432\) | −7.76755 | + | 2.82716i | −0.373716 | + | 0.136022i | ||||
\(433\) | −28.8221 | − | 10.4904i | −1.38510 | − | 0.504135i | −0.461380 | − | 0.887203i | \(-0.652645\pi\) |
−0.923720 | + | 0.383068i | \(0.874868\pi\) | |||||||
\(434\) | 15.6099 | + | 13.0983i | 0.749301 | + | 0.628738i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.47566 | 0.262237 | ||||||||
\(437\) | 5.32263 | − | 4.48730i | 0.254616 | − | 0.214657i | ||||
\(438\) | 20.1783 | 0.964155 | ||||||||
\(439\) | −4.34601 | + | 24.6474i | −0.207424 | + | 1.17636i | 0.686156 | + | 0.727454i | \(0.259297\pi\) |
−0.893580 | + | 0.448904i | \(0.851815\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −7.95213 | − | 2.89434i | −0.378673 | − | 0.137826i | ||||
\(442\) | −26.7310 | + | 9.72930i | −1.27147 | + | 0.462776i | ||||
\(443\) | −26.8966 | + | 22.5689i | −1.27790 | + | 1.07228i | −0.284367 | + | 0.958716i | \(0.591783\pi\) |
−0.993530 | + | 0.113567i | \(0.963772\pi\) | |||||||
\(444\) | 12.3195 | + | 21.3381i | 0.584660 | + | 1.01266i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.570650 | − | 3.23631i | −0.0270210 | − | 0.153244i | ||||
\(447\) | 8.43124 | + | 47.8160i | 0.398784 | + | 2.26162i | ||||
\(448\) | 1.45447 | − | 2.51922i | 0.0687175 | − | 0.119022i | ||||
\(449\) | 1.27642 | + | 2.21082i | 0.0602380 | + | 0.104335i | 0.894572 | − | 0.446924i | \(-0.147481\pi\) |
−0.834334 | + | 0.551260i | \(0.814147\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.0507 | − | 4.38611i | 0.567448 | − | 0.206534i | ||||
\(452\) | 3.17923 | + | 1.15714i | 0.149538 | + | 0.0544275i | ||||
\(453\) | 29.2600 | + | 24.5520i | 1.37475 | + | 1.15355i | ||||
\(454\) | −2.05161 | + | 11.6353i | −0.0962868 | + | 0.546070i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.21436 | − | 12.7309i | 0.103697 | − | 0.596177i | ||||
\(457\) | −29.0079 | −1.35693 | −0.678467 | − | 0.734631i | \(-0.737355\pi\) | ||||
−0.678467 | + | 0.734631i | \(0.737355\pi\) | |||||||
\(458\) | 2.06964 | − | 11.7375i | 0.0967081 | − | 0.548459i | ||||
\(459\) | −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 | \(0.726522\pi\) | |||||||
\(462\) | 9.09564 | − | 7.63215i | 0.423168 | − | 0.355080i | ||||
\(463\) | −2.21251 | − | 3.83218i | −0.102824 | − | 0.178096i | 0.810023 | − | 0.586398i | \(-0.199455\pi\) |
−0.912847 | + | 0.408302i | \(0.866121\pi\) | |||||||
\(464\) | 1.18479 | − | 2.05212i | 0.0550026 | − | 0.0952673i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.59485 | + | 9.04485i | 0.0738800 | + | 0.418994i | ||||
\(467\) | −2.16478 | + | 3.74952i | −0.100174 | + | 0.173507i | −0.911756 | − | 0.410732i | \(-0.865273\pi\) |
0.811582 | + | 0.584238i | \(0.198607\pi\) | |||||||
\(468\) | −15.5293 | − | 26.8975i | −0.717842 | − | 1.24334i | ||||
\(469\) | 22.8337 | − | 19.1597i | 1.05436 | − | 0.884715i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 45.6584 | + | 16.6183i | 2.10383 | + | 0.765731i | ||||
\(472\) | 6.17002 | + | 5.17726i | 0.283998 | + | 0.238303i | ||||
\(473\) | 1.39661 | − | 7.92058i | 0.0642163 | − | 0.364189i | ||||
\(474\) | 24.4260 | 1.12193 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 15.4219 | 0.706862 | ||||||||
\(477\) | −10.6828 | + | 60.5850i | −0.489130 | + | 2.77400i | ||||
\(478\) | −4.14362 | − | 3.47691i | −0.189525 | − | 0.159030i | ||||
\(479\) | 7.03629 | + | 2.56100i | 0.321496 | + | 0.117015i | 0.497727 | − | 0.867334i | \(-0.334168\pi\) |
−0.176231 | + | 0.984349i | \(0.556390\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −34.1628 | + | 28.6660i | −1.55769 | + | 1.30706i | ||||
\(482\) | 13.2962 | + | 23.0296i | 0.605624 | + | 1.04897i | ||||
\(483\) | −6.88657 | + | 11.9279i | −0.313350 | + | 0.542737i | ||||
\(484\) | −1.58094 | − | 8.96594i | −0.0718608 | − | 0.407543i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.81604 | + | 3.14548i | −0.0823774 | + | 0.142682i | ||||
\(487\) | 8.91410 | + | 15.4397i | 0.403936 | + | 0.699638i | 0.994197 | − | 0.107575i | \(-0.0343084\pi\) |
−0.590261 | + | 0.807213i | \(0.700975\pi\) | |||||||
\(488\) | 11.8328 | − | 9.92886i | 0.535644 | − | 0.449458i | ||||
\(489\) | −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 | \(0.809457\pi\) | |||||||
\(492\) | −4.79470 | + | 27.1921i | −0.216162 | + | 1.22591i | ||||
\(493\) | 12.5625 | 0.565784 | ||||||||
\(494\) | 23.3886 | − | 0.0542561i | 1.05230 | − | 0.00244110i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.21641 | − | 6.89863i | 0.0546186 | − | 0.309757i | ||||
\(497\) | −5.61398 | − | 4.71069i | −0.251821 | − | 0.211303i | ||||
\(498\) | −1.35022 | − | 0.491440i | −0.0605048 | − | 0.0220219i | ||||
\(499\) | 6.32111 | − | 2.30070i | 0.282972 | − | 0.102993i | −0.196635 | − | 0.980477i | \(-0.563001\pi\) |
0.479607 | + | 0.877483i | \(0.340779\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −23.4948 | − | 40.6943i | −1.04967 | − | 1.81809i | ||||
\(502\) | −0.756334 | + | 1.31001i | −0.0337568 | + | 0.0584685i | ||||
\(503\) | 0.857499 | + | 4.86312i | 0.0382340 | + | 0.216836i | 0.997939 | − | 0.0641748i | \(-0.0204415\pi\) |
−0.959705 | + | 0.281011i | \(0.909330\pi\) | |||||||
\(504\) | 2.92388 | + | 16.5822i | 0.130240 | + | 0.738628i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −1.09952 | − | 1.90442i | −0.0488796 | − | 0.0846620i | ||||
\(507\) | 35.8604 | − | 30.0905i | 1.59262 | − | 1.33636i | ||||
\(508\) | 7.70569 | − | 2.80464i | 0.341885 | − | 0.124436i | ||||
\(509\) | −18.1920 | − | 6.62133i | −0.806345 | − | 0.293485i | −0.0942316 | − | 0.995550i | \(-0.530039\pi\) |
−0.712113 | + | 0.702065i | \(0.752262\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.43825 | − | 19.4993i | 0.152099 | − | 0.862597i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 18.0878 | + | 31.1618i | 0.798595 | + | 1.37583i | ||||
\(514\) | −6.86350 | −0.302736 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 13.2655 | + | 11.1311i | 0.583980 | + | 0.490017i | ||||
\(517\) | −3.17150 | − | 1.15433i | −0.139483 | − | 0.0507675i | ||||
\(518\) | 22.7192 | − | 8.26912i | 0.998226 | − | 0.363324i | ||||
\(519\) | −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 | \(0.113886\pi\) | |||||||
\(522\) | 2.38175 | + | 13.5076i | 0.104246 | + | 0.591211i | ||||
\(523\) | 4.56331 | + | 25.8798i | 0.199539 | + | 1.13164i | 0.905804 | + | 0.423697i | \(0.139268\pi\) |
−0.706265 | + | 0.707948i | \(0.749621\pi\) | |||||||
\(524\) | −9.53099 | + | 16.5082i | −0.416363 | + | 0.721162i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −15.7216 | + | 13.1920i | −0.685496 | + | 0.575199i | ||||
\(527\) | 34.8979 | − | 12.7018i | 1.52018 | − | 0.553299i | ||||
\(528\) | −3.83556 | − | 1.39603i | −0.166921 | − | 0.0607544i | ||||
\(529\) | −15.6650 | − | 13.1445i | −0.681085 | − | 0.571498i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −46.6215 | −2.02320 | ||||||||
\(532\) | −11.9252 | − | 4.30910i | −0.517021 | − | 0.186823i | ||||
\(533\) | −49.9765 | −2.16472 | ||||||||
\(534\) | −6.21547 | + | 35.2497i | −0.268970 | + | 1.52540i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −9.62879 | − | 3.50459i | −0.415900 | − | 0.151375i | ||||
\(537\) | −50.3970 | + | 18.3430i | −2.17479 | + | 0.791560i | ||||
\(538\) | −13.4461 | + | 11.2826i | −0.579703 | + | 0.486429i | ||||
\(539\) | −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 | \(0.854995\pi\) | |||||||
\(542\) | −1.50892 | − | 8.55753i | −0.0648138 | − | 0.367577i | ||||
\(543\) | 29.7862 | − | 51.5911i | 1.27825 | − | 2.21399i | ||||
\(544\) | −2.65077 | − | 4.59127i | −0.113651 | − | 0.196849i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −43.4814 | + | 15.8259i | −1.86083 | + | 0.677287i | ||||
\(547\) | −40.0367 | − | 14.5722i | −1.71185 | − | 0.623061i | −0.714761 | − | 0.699369i | \(-0.753465\pi\) |
−0.997084 | + | 0.0763080i | \(0.975687\pi\) | |||||||
\(548\) | −9.63374 | − | 8.08366i | −0.411533 | − | 0.345317i | ||||
\(549\) | −15.5259 | + | 88.0516i | −0.662628 | + | 3.75795i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.71405 | − | 3.51013i | −0.413832 | − | 0.149536i | ||||
\(552\) | 4.73474 | 0.201524 | ||||||||
\(553\) | 4.16204 | − | 23.6041i | 0.176988 | − | 1.00375i | ||||
\(554\) | 6.29769 | + | 5.28439i | 0.267563 | + | 0.224512i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.15726 | + | 2.96900i | −0.345945 | + | 0.125914i | ||||
\(557\) | 9.22427 | − | 7.74009i | 0.390845 | − | 0.327958i | −0.426097 | − | 0.904677i | \(-0.640112\pi\) |
0.816942 | + | 0.576719i | \(0.195667\pi\) | |||||||
\(558\) | 20.2738 | + | 35.1152i | 0.858258 | + | 1.48655i | ||||
\(559\) | −15.6716 | + | 27.1440i | −0.662838 | + | 1.14807i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.75764 | − | 21.3107i | −0.158648 | − | 0.899737i | ||||
\(562\) | 8.13995 | − | 14.0988i | 0.343363 | − | 0.594722i | ||||
\(563\) | −22.4230 | − | 38.8377i | −0.945015 | − | 1.63681i | −0.755721 | − | 0.654893i | \(-0.772714\pi\) |
−0.189293 | − | 0.981921i | \(-0.560620\pi\) | |||||||
\(564\) | 5.56669 | − | 4.67100i | 0.234400 | − | 0.196685i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 5.87384 | + | 2.13790i | 0.246896 | + | 0.0898627i | ||||
\(567\) | −15.9103 | − | 13.3503i | −0.668168 | − | 0.560660i | ||||
\(568\) | −0.437473 | + | 2.48103i | −0.0183559 | + | 0.104102i | ||||
\(569\) | 30.1492 | 1.26392 | 0.631959 | − | 0.775002i | \(-0.282251\pi\) | ||||
0.631959 | + | 0.775002i | \(0.282251\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.87066 | 0.161982 | 0.0809910 | − | 0.996715i | \(-0.474192\pi\) | ||||
0.0809910 | + | 0.996715i | \(0.474192\pi\) | |||||||
\(572\) | 1.28289 | − | 7.27561i | 0.0536402 | − | 0.304209i | ||||
\(573\) | −16.6545 | − | 13.9748i | −0.695751 | − | 0.583804i | ||||
\(574\) | 25.4601 | + | 9.26672i | 1.06268 | + | 0.386785i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 4.43412 | − | 3.72067i | 0.184755 | − | 0.155028i | ||||
\(577\) | −7.65505 | − | 13.2589i | −0.318684 | − | 0.551976i | 0.661530 | − | 0.749919i | \(-0.269907\pi\) |
−0.980214 | + | 0.197942i | \(0.936574\pi\) | |||||||
\(578\) | 5.55317 | − | 9.61837i | 0.230981 | − | 0.400072i | ||||
\(579\) | −13.2259 | − | 75.0080i | −0.549651 | − | 3.11723i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.704971 | + | 1.22105i | −0.0292471 | + | 0.0506575i | ||||
\(582\) | −13.5744 | − | 23.5115i | −0.562676 | − | 0.974584i | ||||
\(583\) | −11.2100 | + | 9.40627i | −0.464269 | + | 0.389568i | ||||
\(584\) | −6.39612 | + | 2.32800i | −0.264673 | + | 0.0963332i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.6515 | + | 9.77676i | 0.481319 | + | 0.403874i | ||||
\(587\) | −3.14728 | + | 17.8491i | −0.129902 | + | 0.736713i | 0.848372 | + | 0.529400i | \(0.177583\pi\) |
−0.978275 | + | 0.207313i | \(0.933528\pi\) | |||||||
\(588\) | 4.33408 | 0.178735 | ||||||||
\(589\) | −30.5342 | + | 0.0708324i | −1.25814 | + | 0.00291860i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.78571 | + | 38.4837i | −0.279127 | + | 1.58301i | ||||
\(592\) | −6.36686 | − | 5.34243i | −0.261676 | − | 0.219573i | ||||
\(593\) | 24.7810 | + | 9.01955i | 1.01763 | + | 0.370389i | 0.796360 | − | 0.604823i | \(-0.206756\pi\) |
0.221275 | + | 0.975212i | \(0.428978\pi\) | |||||||
\(594\) | 10.6948 | − | 3.89260i | 0.438814 | − | 0.159715i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −8.18914 | − | 14.1840i | −0.335440 | − | 0.580999i | ||||
\(597\) | −15.2651 | + | 26.4400i | −0.624761 | + | 1.08212i | ||||
\(598\) | 1.48813 | + | 8.43961i | 0.0608542 | + | 0.345121i | ||||
\(599\) | −5.45740 | − | 30.9505i | −0.222983 | − | 1.26460i | −0.866503 | − | 0.499172i | \(-0.833637\pi\) |
0.643519 | − | 0.765430i | \(-0.277474\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.30819 | + | 14.3902i | 0.338898 | + | 0.586989i | 0.984226 | − | 0.176917i | \(-0.0566125\pi\) |
−0.645328 | + | 0.763906i | \(0.723279\pi\) | |||||||
\(602\) | 13.0168 | − | 10.9224i | 0.530527 | − | 0.445165i | ||||
\(603\) | 55.7347 | − | 20.2858i | 2.26969 | − | 0.826100i | ||||
\(604\) | −12.1074 | − | 4.40675i | −0.492645 | − | 0.179308i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.54607 | + | 14.4395i | −0.103427 | + | 0.586564i | ||||
\(607\) | 4.44153 | 0.180276 | 0.0901381 | − | 0.995929i | \(-0.471269\pi\) | ||||
0.0901381 | + | 0.995929i | \(0.471269\pi\) | |||||||
\(608\) | 0.766871 | + | 4.29091i | 0.0311007 | + | 0.174019i | ||||
\(609\) | 20.4344 | 0.828044 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.0756 | + | 8.45444i | 0.407616 | + | 0.342030i | ||||
\(612\) | 28.8364 | + | 10.4956i | 1.16564 | + | 0.424260i | ||||
\(613\) | 5.10144 | − | 1.85677i | 0.206045 | − | 0.0749943i | −0.236936 | − | 0.971525i | \(-0.576143\pi\) |
0.442981 | + | 0.896531i | \(0.353921\pi\) | |||||||
\(614\) | −0.497498 | + | 0.417451i | −0.0200774 | + | 0.0168469i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.00261 | + | 3.46862i | −0.0806874 | + | 0.139755i | ||||
\(617\) | −5.33600 | − | 30.2620i | −0.214819 | − | 1.21830i | −0.881220 | − | 0.472707i | \(-0.843277\pi\) |
0.666401 | − | 0.745594i | \(-0.267834\pi\) | |||||||
\(618\) | 2.83538 | + | 16.0802i | 0.114056 | + | 0.646842i | ||||
\(619\) | 13.0502 | − | 22.6035i | 0.524530 | − | 0.908512i | −0.475062 | − | 0.879952i | \(-0.657574\pi\) |
0.999592 | − | 0.0285602i | \(-0.00909222\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10.1134 | + | 8.48611i | −0.405835 | + | 0.340536i | ||||
\(622\) | 10.8865 | − | 3.96238i | 0.436510 | − | 0.158877i | ||||
\(623\) | 33.0045 | + | 12.0126i | 1.32230 | + | 0.481276i | ||||
\(624\) | 12.1853 | + | 10.2247i | 0.487801 | + | 0.409314i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −0.630216 | −0.0251885 | ||||||||
\(627\) | −3.04886 | + | 17.5286i | −0.121760 | + | 0.700026i | ||||
\(628\) | −16.3901 | −0.654036 | ||||||||
\(629\) | 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 | \(0.294944\pi\) | |||||||
\(632\) | −7.74258 | + | 2.81807i | −0.307983 | + | 0.112097i | ||||
\(633\) | −35.9504 | + | 30.1659i | −1.42890 | + | 1.19899i | ||||
\(634\) | −4.65710 | − | 8.06633i | −0.184957 | − | 0.320355i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −5.47121 | − | 31.0288i | −0.216948 | − | 1.23037i | ||||
\(637\) | 1.36220 | + | 7.72544i | 0.0539725 | + | 0.306093i | ||||
\(638\) | −1.63129 | + | 2.82548i | −0.0645836 | + | 0.111862i | ||||
\(639\) | −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 | \(0.480877\pi\) | |||||||
\(642\) | 17.4923 | + | 6.36667i | 0.690365 | + | 0.251272i | ||||
\(643\) | −19.2098 | − | 16.1189i | −0.757559 | − | 0.635667i | 0.179931 | − | 0.983679i | \(-0.442412\pi\) |
−0.937490 | + | 0.348012i | \(0.886857\pi\) | |||||||
\(644\) | 0.806770 | − | 4.57542i | 0.0317912 | − | 0.180297i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.6679 | + | 14.8951i | −0.695135 | + | 0.586041i | ||||
\(647\) | −25.9344 | −1.01959 | −0.509793 | − | 0.860297i | \(-0.670278\pi\) | ||||
−0.509793 | + | 0.860297i | \(0.670278\pi\) | |||||||
\(648\) | −1.23982 | + | 7.03135i | −0.0487046 | + | 0.276217i | ||||
\(649\) | −8.49526 | − | 7.12837i | −0.333468 | − | 0.279813i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 56.7658 | − | 20.6610i | 2.22483 | − | 0.809770i | ||||
\(652\) | 3.12599 | − | 2.62302i | 0.122423 | − | 0.102725i | ||||
\(653\) | −5.89996 | − | 10.2190i | −0.230883 | − | 0.399901i | 0.727185 | − | 0.686441i | \(-0.240828\pi\) |
−0.958068 | + | 0.286540i | \(0.907495\pi\) | |||||||
\(654\) | 8.11633 | − | 14.0579i | 0.317374 | − | 0.549708i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −1.61737 | − | 9.17254i | −0.0631475 | − | 0.358128i | ||||
\(657\) | 19.6995 | − | 34.1205i | 0.768549 | − | 1.33117i | ||||
\(658\) | −3.56530 | − | 6.17528i | −0.138990 | − | 0.240737i | ||||
\(659\) | 16.7858 | − | 14.0849i | 0.653880 | − | 0.548671i | −0.254365 | − | 0.967108i | \(-0.581867\pi\) |
0.908246 | + | 0.418438i | \(0.137422\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −36.0396 | − | 13.1173i | −1.40178 | − | 0.510205i | −0.473072 | − | 0.881024i | \(-0.656855\pi\) |
−0.928705 | + | 0.370819i | \(0.879077\pi\) | |||||||
\(662\) | 9.24297 | + | 7.75578i | 0.359238 | + | 0.301437i | ||||
\(663\) | −14.6438 | + | 83.0491i | −0.568718 | + | 3.22536i | ||||
\(664\) | 0.484691 | 0.0188097 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 48.1089 | 1.86418 | ||||||||
\(667\) | 0.657182 | − | 3.72706i | 0.0254462 | − | 0.144313i | ||||
\(668\) | 12.1424 | + | 10.1887i | 0.469802 | + | 0.394211i | ||||
\(669\) | −9.15458 | − | 3.33199i | −0.353937 | − | 0.128822i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −16.2921 | + | 13.6707i | −0.628948 | + | 0.527750i | ||||
\(672\) | −4.31181 | − | 7.46827i | −0.166332 | − | 0.288095i | ||||
\(673\) | −0.679451 | + | 1.17684i | −0.0261909 | + | 0.0453640i | −0.878824 | − | 0.477146i | \(-0.841671\pi\) |
0.852633 | + | 0.522510i | \(0.175004\pi\) | |||||||
\(674\) | −0.195701 | − | 1.10988i | −0.00753812 | − | 0.0427508i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.89547 | + | 13.6754i | −0.303672 | + | 0.525975i | ||||
\(677\) | −9.88891 | − | 17.1281i | −0.380062 | − | 0.658286i | 0.611009 | − | 0.791624i | \(-0.290764\pi\) |
−0.991071 | + | 0.133338i | \(0.957431\pi\) | |||||||
\(678\) | 7.68321 | − | 6.44698i | 0.295072 | − | 0.247595i | ||||
\(679\) | −25.0333 | + | 9.11139i | −0.960692 | + | 0.349663i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 26.8307 | + | 22.5136i | 1.02815 | + | 0.862724i | ||||
\(682\) | −1.67483 | + | 9.49845i | −0.0641327 | + | 0.363714i | ||||
\(683\) | −38.4380 | −1.47079 | −0.735394 | − | 0.677640i | \(-0.763003\pi\) | ||||
−0.735394 | + | 0.677640i | \(0.763003\pi\) | |||||||
\(684\) | −19.3655 | − | 16.1731i | −0.740457 | − | 0.618396i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.79744 | + | 15.8651i | −0.106807 | + | 0.605731i | ||||
\(687\) | −27.0665 | − | 22.7115i | −1.03265 | − | 0.866499i | ||||
\(688\) | −5.48910 | − | 1.99787i | −0.209270 | − | 0.0761681i | ||||
\(689\) | 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 | \(0.784626\pi\) | |||||||
\(692\) | 1.21193 | − | 2.09913i | 0.0460708 | − | 0.0797971i | ||||
\(693\) | −4.02578 | − | 22.8313i | −0.152927 | − | 0.867291i | ||||
\(694\) | −2.23492 | − | 12.6748i | −0.0848362 | − | 0.481130i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −3.51233 | − | 6.08354i | −0.133135 | − | 0.230596i | ||||
\(697\) | 37.8263 | − | 31.7401i | 1.43277 | − | 1.20224i | ||||
\(698\) | −7.87210 | + | 2.86521i | −0.297963 | + | 0.108450i | ||||
\(699\) | 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 | \(0.877395\pi\) | |||||||
\(702\) | −44.3533 | −1.67401 | ||||||||
\(703\) | −18.0413 | + | 31.4166i | −0.680442 | + | 1.18490i | ||||
\(704\) | 1.37686 | 0.0518924 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −11.5698 | − | 9.70819i | −0.435434 | − | 0.365372i | ||||
\(707\) | 13.5198 | + | 4.92079i | 0.508463 | + | 0.185065i | ||||
\(708\) | 22.4374 | − | 8.16653i | 0.843248 | − | 0.306917i | ||||
\(709\) | −25.7736 | + | 21.6266i | −0.967946 | + | 0.812204i | −0.982227 | − | 0.187694i | \(-0.939899\pi\) |
0.0142810 | + | 0.999898i | \(0.495454\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 23.8464 | − | 41.3032i | 0.894311 | − | 1.54899i | ||||
\(712\) | −2.09663 | − | 11.8906i | −0.0785744 | − | 0.445617i | ||||
\(713\) | −1.94278 | − | 11.0181i | −0.0727578 | − | 0.412630i | ||||
\(714\) | 22.8592 | − | 39.5934i | 0.855485 | − | 1.48174i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 13.8586 | − | 11.6288i | 0.517921 | − | 0.434587i | ||||
\(717\) | −15.0683 | + | 5.48442i | −0.562737 | + | 0.204820i | ||||
\(718\) | −31.6434 | − | 11.5172i | −1.18092 | − | 0.429820i | ||||
\(719\) | −0.633806 | − | 0.531826i | −0.0236370 | − | 0.0198338i | 0.630893 | − | 0.775870i | \(-0.282689\pi\) |
−0.654530 | + | 0.756036i | \(0.727133\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.0223 | 0.596700 | ||||||||
\(722\) | 17.8238 | − | 6.58115i | 0.663334 | − | 0.244925i | ||||
\(723\) | 78.8333 | 2.93184 | ||||||||
\(724\) | −3.48949 | + | 19.7899i | −0.129686 | + | 0.735484i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −25.3620 | − | 9.23101i | −0.941272 | − | 0.342595i | ||||
\(727\) | 44.4363 | − | 16.1735i | 1.64805 | − | 0.599842i | 0.659633 | − | 0.751588i | \(-0.270712\pi\) |
0.988420 | + | 0.151745i | \(0.0484894\pi\) | |||||||
\(728\) | 11.9569 | − | 10.0330i | 0.443152 | − | 0.371848i | ||||
\(729\) | 16.0934 | + | 27.8746i | 0.596052 | + | 1.03239i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.37759 | − | 30.4978i | −0.198897 | − | 1.12800i | ||||
\(732\) | −7.95162 | − | 45.0959i | −0.293900 | − | 1.66679i | ||||
\(733\) | 5.61652 | − | 9.72810i | 0.207451 | − | 0.359315i | −0.743460 | − | 0.668780i | \(-0.766817\pi\) |
0.950911 | + | 0.309465i | \(0.100150\pi\) | |||||||
\(734\) | 2.10248 | + | 3.64161i | 0.0776041 | + | 0.134414i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.50082 | + | 0.546254i | −0.0553210 | + | 0.0201352i | ||||
\(737\) | 13.2575 | + | 4.82534i | 0.488347 | + | 0.177744i | ||||
\(738\) | 41.2996 | + | 34.6545i | 1.52026 | + | 1.27565i | ||||
\(739\) | 4.49255 | − | 25.4785i | 0.165261 | − | 0.937242i | −0.783534 | − | 0.621349i | \(-0.786585\pi\) |
0.948795 | − | 0.315893i | \(-0.102304\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 34.5286 | − | 60.1269i | 1.26844 | − | 2.20882i | ||||
\(742\) | −30.9169 | −1.13500 | ||||||||
\(743\) | −7.57956 | + | 42.9858i | −0.278067 | + | 1.57700i | 0.450980 | + | 0.892534i | \(0.351075\pi\) |
−0.729047 | + | 0.684463i | \(0.760037\pi\) | |||||||
\(744\) | −15.9081 | − | 13.3485i | −0.583219 | − | 0.489379i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −5.03309 | + | 1.83189i | −0.184274 | + | 0.0670704i | ||||
\(747\) | −2.14918 | + | 1.80338i | −0.0786344 | + | 0.0659821i | ||||
\(748\) | 3.64974 | + | 6.32154i | 0.133448 | + | 0.231138i | ||||
\(749\) | 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 | \(0.819701\pi\) | |||||||
\(752\) | −1.22563 | + | 2.12285i | −0.0446941 | + | 0.0774125i | ||||
\(753\) | 2.24216 | + | 3.88354i | 0.0817089 | + | 0.141524i | ||||
\(754\) | 9.73989 | − | 8.17274i | 0.354706 | − | 0.297634i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 22.5954 | + | 8.22406i | 0.821787 | + | 0.299106i | ||||
\(757\) | −15.1947 | − | 12.7499i | −0.552262 | − | 0.463403i | 0.323444 | − | 0.946247i | \(-0.395159\pi\) |
−0.875706 | + | 0.482844i | \(0.839604\pi\) | |||||||
\(758\) | 1.01815 | − | 5.77423i | 0.0369810 | − | 0.209730i | ||||
\(759\) | −6.51908 | −0.236628 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.8607 | −0.393700 | −0.196850 | − | 0.980434i | \(-0.563071\pi\) | ||||
−0.196850 | + | 0.980434i | \(0.563071\pi\) | |||||||
\(762\) | 4.22133 | − | 23.9403i | 0.152923 | − | 0.867267i | ||||
\(763\) | −12.2019 | − | 10.2386i | −0.441738 | − | 0.370662i | ||||
\(764\) | 6.89144 | + | 2.50828i | 0.249323 | + | 0.0907463i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.1962 | − | 18.6249i | 0.801983 | − | 0.672944i | ||||
\(767\) | 21.6088 | + | 37.4275i | 0.780248 | + | 1.35143i | ||||
\(768\) | −1.48226 | + | 2.56734i | −0.0534863 | + | 0.0926410i | ||||
\(769\) | 2.51395 | + | 14.2573i | 0.0906553 | + | 0.514132i | 0.995992 | + | 0.0894380i | \(0.0285071\pi\) |
−0.905337 | + | 0.424694i | \(0.860382\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.1735 | + | 17.6210i | −0.366389 | + | 0.634604i | ||||
\(772\) | 12.8461 | + | 22.2502i | 0.462343 | + | 0.800802i | ||||
\(773\) | −27.4218 | + | 23.0096i | −0.986292 | + | 0.827597i | −0.985027 | − | 0.172402i | \(-0.944847\pi\) |
−0.00126532 | + | 0.999999i | \(0.500403\pi\) | |||||||
\(774\) | 31.7728 | − | 11.5643i | 1.14205 | − | 0.415672i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.01537 | + | 5.88660i | 0.251837 | + | 0.211317i | ||||
\(777\) | 12.4460 | − | 70.5850i | 0.446499 | − | 2.53222i | ||||
\(778\) | 3.76475 | 0.134973 | ||||||||
\(779\) | −38.1182 | + | 13.9741i | −1.36573 | + | 0.500675i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.602339 | − | 3.41603i | 0.0215534 | − | 0.122235i | ||||
\(782\) | −6.48633 | − | 5.44268i | −0.231951 | − | 0.194630i | ||||
\(783\) | 18.4059 | + | 6.69919i | 0.657772 | + | 0.239409i | ||||
\(784\) | −1.37382 | + | 0.500029i | −0.0490650 | + | 0.0178582i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 28.2547 | + | 48.9386i | 1.00781 | + | 1.74558i | ||||
\(787\) | 7.16560 | − | 12.4112i | 0.255426 | − | 0.442411i | −0.709585 | − | 0.704620i | \(-0.751118\pi\) |
0.965011 | + | 0.262209i | \(0.0844510\pi\) | |||||||
\(788\) | −2.28898 | − | 12.9814i | −0.0815415 | − | 0.462445i | ||||
\(789\) | 10.5649 | + | 59.9168i | 0.376122 | + | 2.13309i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.92087 | − | 8.52320i | −0.174966 | − | 0.303050i | ||||
\(792\) | −6.10517 | + | 5.12284i | −0.216938 | + | 0.182032i | ||||
\(793\) | 77.8835 | − | 28.3473i | 2.76573 | − | 1.00664i | ||||
\(794\) | −17.7629 | − | 6.46515i | −0.630380 | − | 0.229440i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.78833 | − | 10.1421i | 0.0633857 | − | 0.359478i | ||||
\(797\) | 17.7667 | 0.629330 | 0.314665 | − | 0.949203i | \(-0.398108\pi\) | ||||
0.314665 | + | 0.949203i | \(0.398108\pi\) | |||||||
\(798\) | −28.7391 | + | 24.2288i | −1.01735 | + | 0.857690i | ||||
\(799\) | −12.9955 | −0.459746 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 53.5375 | + | 44.9233i | 1.89166 | + | 1.58729i | ||||
\(802\) | 11.4383 | + | 4.16319i | 0.403900 | + | 0.147007i | ||||
\(803\) | 8.80657 | − | 3.20533i | 0.310777 | − | 0.113114i | ||||
\(804\) | −23.2698 | + | 19.5257i | −0.820664 | + | 0.688619i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 18.7936 | − | 32.5514i | 0.661975 | − | 1.14657i | ||||
\(807\) | 9.03580 | + | 51.2445i | 0.318075 | + | 1.80389i | ||||
\(808\) | −0.858850 | − | 4.87078i | −0.0302142 | − | 0.171353i | ||||
\(809\) | 5.86927 | − | 10.1659i | 0.206353 | − | 0.357413i | −0.744210 | − | 0.667946i | \(-0.767174\pi\) |
0.950563 | + | 0.310532i | \(0.100507\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.28725 | + | 6.95383i | −0.291005 | + | 0.244182i | −0.776588 | − | 0.630008i | \(-0.783052\pi\) |
0.485584 | + | 0.874190i | \(0.338607\pi\) | |||||||
\(812\) | −6.47730 | + | 2.35755i | −0.227309 | + | 0.0827336i | ||||
\(813\) | −24.2067 | − | 8.81052i | −0.848967 | − | 0.308999i | ||||
\(814\) | 8.76628 | + | 7.35579i | 0.307258 | + | 0.257820i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −15.7165 | −0.550187 | ||||||||
\(817\) | −4.36325 | + | 25.0854i | −0.152651 | + | 0.877625i | ||||
\(818\) | 28.2694 | 0.988415 | ||||||||
\(819\) | −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 | \(0.539141\pi\) | |||||||
\(822\) | −35.0332 | + | 12.7510i | −1.22192 | + | 0.444744i | ||||
\(823\) | 8.70130 | − | 7.30126i | 0.303308 | − | 0.254506i | −0.478411 | − | 0.878136i | \(-0.658787\pi\) |
0.781720 | + | 0.623630i | \(0.214343\pi\) | |||||||
\(824\) | −2.75396 | − | 4.77000i | −0.0959387 | − | 0.166171i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.06854 | − | 23.0739i | −0.141563 | − | 0.802842i | ||||
\(827\) | 4.53285 | + | 25.7071i | 0.157623 | + | 0.893923i | 0.956349 | + | 0.292228i | \(0.0943966\pi\) |
−0.798726 | + | 0.601695i | \(0.794492\pi\) | |||||||
\(828\) | 4.62239 | − | 8.00622i | 0.160639 | − | 0.278235i | ||||
\(829\) | 12.3906 | + | 21.4611i | 0.430342 | + | 0.745374i | 0.996903 | − | 0.0786462i | \(-0.0250597\pi\) |
−0.566561 | + | 0.824020i | \(0.691726\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 22.9016 | − | 8.33551i | 0.794449 | − | 0.289156i | ||||
\(832\) | −5.04213 | − | 1.83518i | −0.174804 | − | 0.0636236i | ||||
\(833\) | −5.93745 | − | 4.98211i | −0.205720 | − | 0.172620i | ||||
\(834\) | −4.46871 | + | 25.3433i | −0.154739 | + | 0.877567i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −1.05587 | − | 5.90799i | −0.0365182 | − | 0.204332i | ||||
\(837\) | 57.9041 | 2.00146 | ||||||||
\(838\) | 2.00219 | − | 11.3550i | 0.0691644 | − | 0.392251i | ||||
\(839\) | −24.0765 | − | 20.2026i | −0.831214 | − | 0.697472i | 0.124355 | − | 0.992238i | \(-0.460314\pi\) |
−0.955569 | + | 0.294766i | \(0.904758\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.9748 | − | 7.99816i | 0.757751 | − | 0.275799i | ||||
\(842\) | 15.9361 | − | 13.3719i | 0.549193 | − | 0.460828i | ||||
\(843\) | −24.1310 | − | 41.7961i | −0.831115 | − | 1.43953i | ||||
\(844\) | 7.91528 | − | 13.7097i | 0.272455 | − | 0.471906i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −2.46385 | − | 13.9732i | −0.0847087 | − | 0.480407i | ||||
\(847\) | −13.2419 | + | 22.9357i | −0.454997 | + | 0.788079i | ||||
\(848\) | 5.31410 | + | 9.20430i | 0.182487 | + | 0.316077i | ||||
\(849\) | 14.1953 | − | 11.9112i | 0.487180 | − | 0.408793i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −12.4739 | − | 4.54011i | −0.427598 | − | 0.155633i | ||||
\(852\) | 5.72121 | + | 4.80067i | 0.196005 | + | 0.164468i | ||||
\(853\) | 6.98190 | − | 39.5963i | 0.239056 | − | 1.35575i | −0.594846 | − | 0.803840i | \(-0.702787\pi\) |
0.833902 | − | 0.551913i | \(-0.186102\pi\) | |||||||
\(854\) | −44.9333 | −1.53759 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.27924 | −0.214620 | ||||||||
\(857\) | 0.829384 | − | 4.70367i | 0.0283312 | − | 0.160674i | −0.967360 | − | 0.253407i | \(-0.918449\pi\) |
0.995691 | + | 0.0927323i | \(0.0295601\pi\) | |||||||
\(858\) | −16.7774 | − | 14.0779i | −0.572772 | − | 0.480613i | ||||
\(859\) | 9.73955 | + | 3.54491i | 0.332309 | + | 0.120951i | 0.502786 | − | 0.864411i | \(-0.332308\pi\) |
−0.170476 | + | 0.985362i | \(0.554531\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 61.5292 | − | 51.6292i | 2.09691 | − | 1.75952i | ||||
\(862\) | 1.34770 | + | 2.33429i | 0.0459029 | + | 0.0795061i | ||||
\(863\) | −15.8545 | + | 27.4609i | −0.539695 | + | 0.934779i | 0.459225 | + | 0.888320i | \(0.348127\pi\) |
−0.998920 | + | 0.0464590i | \(0.985206\pi\) | |||||||
\(864\) | −1.43539 | − | 8.14047i | −0.0488328 | − | 0.276945i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 15.3359 | − | 26.5626i | 0.521135 | − | 0.902632i | ||||
\(867\) | −16.4624 | − | 28.5138i | −0.559094 | − | 0.968379i | ||||
\(868\) | −15.6099 | + | 13.0983i | −0.529836 | + | 0.444585i | ||||
\(869\) | 10.6605 | − | 3.88009i | 0.361631 | − | 0.131623i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −42.1180 | − | 35.3412i | −1.42711 | − | 1.19749i | ||||
\(872\) | −0.950839 | + | 5.39247i | −0.0321995 | + | 0.182612i | ||||
\(873\) | −53.0091 | −1.79409 | ||||||||
\(874\) | 3.49486 | + | 6.02098i | 0.118216 | + | 0.203663i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −3.50392 | + | 19.8717i | −0.118387 | + | 0.671403i | ||||
\(877\) | 4.82600 | + | 4.04949i | 0.162962 | + | 0.136742i | 0.720622 | − | 0.693328i | \(-0.243856\pi\) |
−0.557660 | + | 0.830070i | \(0.688301\pi\) | |||||||
\(878\) | −23.5183 | − | 8.55996i | −0.793705 | − | 0.288885i | ||||
\(879\) | 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 | \(-0.528654\pi\) | |||||||
\(882\) | 4.23124 | − | 7.32872i | 0.142473 | − | 0.246771i | ||||
\(883\) | 0.342590 | + | 1.94292i | 0.0115291 | + | 0.0653846i | 0.990030 | − | 0.140860i | \(-0.0449868\pi\) |
−0.978500 | + | 0.206245i | \(0.933876\pi\) | |||||||
\(884\) | −4.93970 | − | 28.0144i | −0.166140 | − | 0.942227i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −17.5555 | − | 30.4071i | −0.589789 | − | 1.02155i | ||||
\(887\) | −20.6876 | + | 17.3589i | −0.694621 | + | 0.582856i | −0.920238 | − | 0.391360i | \(-0.872005\pi\) |
0.225617 | + | 0.974216i | \(0.427560\pi\) | |||||||
\(888\) | −23.1532 | + | 8.42707i | −0.776970 | + | 0.282794i | ||||
\(889\) | −22.4155 | − | 8.15856i | −0.751790 | − | 0.273629i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.70705 | − | 9.68119i | 0.0571885 | − | 0.324332i | ||||
\(892\) | 3.28624 | 0.110031 | ||||||||
\(893\) | 10.0489 | + | 3.63111i | 0.336273 | + | 0.121511i | ||||
\(894\) | −48.5536 | −1.62388 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.22838 | + | 1.86984i | 0.0744451 | + | 0.0624669i | ||||
\(897\) | 23.8732 | + | 8.68913i | 0.797102 | + | 0.290121i | ||||
\(898\) | −2.39888 | + | 0.873122i | −0.0800518 | + | 0.0291365i | ||||
\(899\) | −12.7156 | + | 10.6697i | −0.424090 | + | 0.355853i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −28.1729 | + | 48.7970i | −0.938577 | + | 1.62566i | ||||
\(902\) | 2.22689 | + | 12.6293i | 0.0741473 | + | 0.420510i | ||||
\(903\) | −8.74733 | − | 49.6085i | −0.291093 | − | 1.65087i | ||||
\(904\) | −1.69163 | + | 2.92999i | −0.0562628 | + | 0.0974501i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −29.2600 | + | 24.5520i | −0.972097 | + | 0.815686i | ||||
\(907\) | −23.1710 | + | 8.43355i | −0.769380 | + | 0.280031i | −0.696737 | − | 0.717327i | \(-0.745365\pi\) |
−0.0726427 | + | 0.997358i | \(0.523143\pi\) | |||||||
\(908\) | −11.1022 | − | 4.04088i | −0.368440 | − | 0.134101i | ||||
\(909\) | 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 | \(0.555473\pi\) | |||||||
\(912\) | 12.1529 | + | 4.39141i | 0.402424 | + | 0.145414i | ||||
\(913\) | −0.667352 | −0.0220861 | ||||||||
\(914\) | 5.03718 | − | 28.5672i | 0.166615 | − | 0.944920i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.1998 | + | 4.07640i | 0.370053 | + | 0.134688i | ||||
\(917\) | 52.1063 | − | 18.9651i | 1.72070 | − | 0.626284i | ||||
\(918\) | 33.5702 | − | 28.1688i | 1.10798 | − | 0.929708i | ||||
\(919\) | 12.5834 | + | 21.7950i | 0.415087 | + | 0.718952i | 0.995438 | − | 0.0954150i | \(-0.0304178\pi\) |
−0.580351 | + | 0.814367i | \(0.697084\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.334319 | + | 1.89602i | 0.0110162 | + | 0.0624759i | ||||
\(922\) | −6.50753 | − | 36.9060i | −0.214314 | − | 1.21544i | ||||
\(923\) | −6.75894 | + | 11.7068i | −0.222473 | + | 0.385335i | ||||
\(924\) | 5.93676 | + | 10.2828i | 0.195305 | + | 0.338278i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 4.15816 | − | 1.51345i | 0.136645 | − | 0.0497349i | ||||
\(927\) | 29.9590 | + | 10.9042i | 0.983982 | + | 0.358140i | ||||
\(928\) | 1.81521 | + | 1.52314i | 0.0595871 | + | 0.0499995i | ||||
\(929\) | −3.26147 | + | 18.4967i | −0.107005 | + | 0.606857i | 0.883395 | + | 0.468629i | \(0.155252\pi\) |
−0.990400 | + | 0.138228i | \(0.955859\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.19912 | + | 5.51148i | 0.104847 | + | 0.180631i | ||||
\(932\) | −9.18438 | −0.300844 | ||||||||
\(933\) | 5.96386 | − | 33.8227i | 0.195248 | − | 1.10731i | ||||
\(934\) | −3.31664 | − | 2.78299i | −0.108524 | − | 0.0910623i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 29.1855 | − | 10.6227i | 0.953958 | − | 0.347212i | ||||
\(937\) | 10.7306 | − | 9.00408i | 0.350555 | − | 0.294150i | −0.450458 | − | 0.892798i | \(-0.648739\pi\) |
0.801013 | + | 0.598647i | \(0.204295\pi\) | |||||||
\(938\) | 14.9036 | + | 25.8139i | 0.486621 | + | 0.842852i | ||||
\(939\) | −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 | \(0.539994\pi\) | |||||||
\(942\) | −24.2943 | + | 42.0790i | −0.791552 | + | 1.37101i | ||||
\(943\) | −7.43792 | − | 12.8829i | −0.242212 | − | 0.419523i | ||||
\(944\) | −6.17002 | + | 5.17726i | −0.200817 | + | 0.168506i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.55773 | + | 2.75079i | 0.245723 | + | 0.0894359i | ||||
\(947\) | −1.08692 | − | 0.912031i | −0.0353200 | − | 0.0296370i | 0.624957 | − | 0.780659i | \(-0.285117\pi\) |
−0.660277 | + | 0.751022i | \(0.729561\pi\) | |||||||
\(948\) | −4.24154 | + | 24.0550i | −0.137759 | + | 0.781269i | ||||
\(949\) | −36.5223 | −1.18557 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −27.6120 | −0.895382 | ||||||||
\(952\) | −2.67799 | + | 15.1876i | −0.0867941 | + | 0.492234i | ||||
\(953\) | 28.3367 | + | 23.7773i | 0.917916 | + | 0.770223i | 0.973608 | − | 0.228225i | \(-0.0732921\pi\) |
−0.0556922 | + | 0.998448i | \(0.517737\pi\) | |||||||
\(954\) | −57.8095 | − | 21.0410i | −1.87165 | − | 0.681226i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 4.14362 | − | 3.47691i | 0.134014 | − | 0.112451i | ||||
\(957\) | 4.83599 | + | 8.37619i | 0.156325 | + | 0.270764i | ||||
\(958\) | −3.74393 | + | 6.48468i | −0.120961 | + | 0.209510i | ||||
\(959\) | 6.35254 | + | 36.0270i | 0.205134 | + | 1.16337i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.03536 | + | 15.6497i | −0.291463 | + | 0.504829i | ||||
\(962\) | −22.2982 | − | 38.6216i | −0.718922 | − | 1.24521i | ||||
\(963\) | 27.8429 | − | 23.3630i | 0.897226 | − | 0.752862i | ||||
\(964\) | −24.9886 | + | 9.09512i | −0.804830 | + | 0.292934i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −10.5508 | − | 8.85320i | −0.339467 | − | 0.284847i | ||||
\(967\) | −0.642387 | + | 3.64316i | −0.0206578 | + | 0.117156i | −0.993393 | − | 0.114763i | \(-0.963389\pi\) |
0.972735 | + | 0.231919i | \(0.0745004\pi\) | |||||||
\(968\) | 9.10425 | 0.292622 | ||||||||
\(969\) | 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 | \(0.0183332\pi\) | |||||||
\(972\) | −2.78234 | − | 2.33466i | −0.0892436 | − | 0.0748843i | ||||
\(973\) | 23.7291 | + | 8.63667i | 0.760719 | + | 0.276879i | ||||
\(974\) | −16.7530 | + | 6.09760i | −0.536801 | + | 0.195380i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.72328 | + | 13.3771i | 0.247216 | + | 0.428191i | ||||
\(977\) | 5.59949 | − | 9.69861i | 0.179144 | − | 0.310286i | −0.762444 | − | 0.647054i | \(-0.776001\pi\) |
0.941587 | + | 0.336768i | \(0.109334\pi\) | |||||||
\(978\) | −2.10067 | − | 11.9135i | −0.0671719 | − | 0.380951i | ||||
\(979\) | 2.88676 | + | 16.3716i | 0.0922613 | + | 0.523240i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.8475 | − | 27.4486i | −0.505971 | − | 0.876368i | ||||
\(982\) | 9.18783 | − | 7.70951i | 0.293196 | − | 0.246020i | ||||
\(983\) | 33.1702 | − | 12.0730i | 1.05797 | − | 0.385068i | 0.246302 | − | 0.969193i | \(-0.420785\pi\) |
0.811663 | + | 0.584125i | \(0.198562\pi\) | |||||||
\(984\) | −25.9464 | − | 9.44372i | −0.827141 | − | 0.301055i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −2.18145 | + | 12.3716i | −0.0694714 | + | 0.393992i | ||||
\(987\) | −21.1387 | −0.672853 | ||||||||
\(988\) | −4.00795 | + | 23.0427i | −0.127510 | + | 0.733085i | ||||
\(989\) | −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 | \(0.615794\pi\) | |||||||
\(992\) | 6.58259 | + | 2.39587i | 0.208998 | + | 0.0760689i | ||||
\(993\) | 33.6122 | − | 12.2338i | 1.06665 | − | 0.388229i | ||||
\(994\) | 5.61398 | − | 4.71069i | 0.178065 | − | 0.149414i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0.718437 | − | 1.24437i | 0.0227645 | − | 0.0394293i | ||||
\(997\) | 7.81553 | + | 44.3241i | 0.247520 | + | 1.40376i | 0.814566 | + | 0.580071i | \(0.196975\pi\) |
−0.567045 | + | 0.823687i | \(0.691913\pi\) | |||||||
\(998\) | 1.16809 | + | 6.62459i | 0.0369754 | + | 0.209698i | ||||
\(999\) | 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.l.g.701.2 | 12 | ||
5.2 | odd | 4 | 950.2.u.f.549.2 | 24 | |||
5.3 | odd | 4 | 950.2.u.f.549.3 | 24 | |||
5.4 | even | 2 | 190.2.k.c.131.1 | ✓ | 12 | ||
19.9 | even | 9 | inner | 950.2.l.g.351.2 | 12 | ||
95.9 | even | 18 | 190.2.k.c.161.1 | yes | 12 | ||
95.28 | odd | 36 | 950.2.u.f.199.2 | 24 | |||
95.47 | odd | 36 | 950.2.u.f.199.3 | 24 | |||
95.54 | even | 18 | 3610.2.a.bf.1.1 | 6 | |||
95.79 | odd | 18 | 3610.2.a.bd.1.6 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.c.131.1 | ✓ | 12 | 5.4 | even | 2 | ||
190.2.k.c.161.1 | yes | 12 | 95.9 | even | 18 | ||
950.2.l.g.351.2 | 12 | 19.9 | even | 9 | inner | ||
950.2.l.g.701.2 | 12 | 1.1 | even | 1 | trivial | ||
950.2.u.f.199.2 | 24 | 95.28 | odd | 36 | |||
950.2.u.f.199.3 | 24 | 95.47 | odd | 36 | |||
950.2.u.f.549.2 | 24 | 5.2 | odd | 4 | |||
950.2.u.f.549.3 | 24 | 5.3 | odd | 4 | |||
3610.2.a.bd.1.6 | 6 | 95.79 | odd | 18 | |||
3610.2.a.bf.1.1 | 6 | 95.54 | even | 18 |