Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,2,Mod(19,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.e (of order \(9\), 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: | \(1.29357651274\) |
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: |
\( x^{12} - 6 x^{11} + 33 x^{10} - 110 x^{9} + 318 x^{8} - 678 x^{7} + 1225 x^{6} - 1698 x^{5} + 1905 x^{4} - 1584 x^{3} + 936 x^{2} - 342 x + 57 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 127.2 | ||
Root | \(0.500000 - 1.80139i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 162.127 |
Dual form | 162.2.e.b.37.2 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 1.96209 | + | 0.714144i | 0.877475 | + | 0.319375i | 0.741190 | − | 0.671295i | \(-0.234262\pi\) |
0.136285 | + | 0.990670i | \(0.456484\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.696712 | + | 3.95125i | −0.263332 | + | 1.49343i | 0.510410 | + | 0.859931i | \(0.329494\pi\) |
−0.773742 | + | 0.633501i | \(0.781617\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.04401 | − | 1.80828i | −0.330144 | − | 0.571827i | ||||
\(11\) | 0.199635 | − | 0.0726611i | 0.0601921 | − | 0.0219081i | −0.311749 | − | 0.950165i | \(-0.600915\pi\) |
0.371941 | + | 0.928256i | \(0.378692\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.98269 | − | 3.34187i | 1.10460 | − | 0.926868i | 0.106873 | − | 0.994273i | \(-0.465916\pi\) |
0.997726 | + | 0.0674046i | \(0.0214718\pi\) | |||||||
\(14\) | 3.07353 | − | 2.57900i | 0.821435 | − | 0.689266i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 1.89276 | + | 3.27836i | 0.459062 | + | 0.795119i | 0.998912 | − | 0.0466426i | \(-0.0148522\pi\) |
−0.539850 | + | 0.841762i | \(0.681519\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.636405 | − | 1.10229i | 0.146001 | − | 0.252882i | −0.783745 | − | 0.621083i | \(-0.786693\pi\) |
0.929746 | + | 0.368201i | \(0.120026\pi\) | |||||||
\(20\) | −0.362580 | + | 2.05630i | −0.0810754 | + | 0.459802i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.199635 | − | 0.0726611i | −0.0425622 | − | 0.0154914i | ||||
\(23\) | −0.144031 | − | 0.816841i | −0.0300326 | − | 0.170323i | 0.966102 | − | 0.258159i | \(-0.0831159\pi\) |
−0.996135 | + | 0.0878361i | \(0.972005\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.490411 | − | 0.411503i | −0.0980821 | − | 0.0823007i | ||||
\(26\) | −5.19903 | −1.01961 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.01220 | −0.758235 | ||||||||
\(29\) | −7.05621 | − | 5.92087i | −1.31031 | − | 1.09948i | −0.988265 | − | 0.152752i | \(-0.951187\pi\) |
−0.322041 | − | 0.946726i | \(-0.604369\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.614003 | + | 3.48219i | 0.110278 | + | 0.625419i | 0.988980 | + | 0.148048i | \(0.0472991\pi\) |
−0.878702 | + | 0.477371i | \(0.841590\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.657349 | − | 3.72801i | 0.112734 | − | 0.639349i | ||||
\(35\) | −4.18878 | + | 7.25517i | −0.708032 | + | 1.22635i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.77730 | − | 3.07838i | −0.292187 | − | 0.506082i | 0.682140 | − | 0.731222i | \(-0.261049\pi\) |
−0.974326 | + | 0.225140i | \(0.927716\pi\) | |||||||
\(38\) | −1.19605 | + | 0.435326i | −0.194025 | + | 0.0706193i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.59951 | − | 1.34215i | 0.252905 | − | 0.212213i | ||||
\(41\) | −2.09850 | + | 1.76085i | −0.327730 | + | 0.274998i | −0.791774 | − | 0.610814i | \(-0.790842\pi\) |
0.464044 | + | 0.885812i | \(0.346398\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.48062 | + | 2.35875i | −0.988286 | + | 0.359707i | −0.785056 | − | 0.619425i | \(-0.787366\pi\) |
−0.203229 | + | 0.979131i | \(0.565144\pi\) | |||||||
\(44\) | 0.106223 | + | 0.183984i | 0.0160138 | + | 0.0277367i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.414721 | + | 0.718318i | −0.0611473 | + | 0.105910i | ||||
\(47\) | 0.221796 | − | 1.25787i | 0.0323523 | − | 0.183479i | −0.964349 | − | 0.264633i | \(-0.914749\pi\) |
0.996702 | + | 0.0811536i | \(0.0258604\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.54912 | − | 3.11163i | −1.22130 | − | 0.444518i | ||||
\(50\) | 0.111167 | + | 0.630460i | 0.0157214 | + | 0.0891605i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.98269 | + | 3.34187i | 0.552299 | + | 0.463434i | ||||
\(53\) | 11.2992 | 1.55207 | 0.776036 | − | 0.630689i | \(-0.217228\pi\) | ||||
0.776036 | + | 0.630689i | \(0.217228\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.443592 | 0.0598140 | ||||||||
\(56\) | 3.07353 | + | 2.57900i | 0.410717 | + | 0.344633i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.59951 | + | 9.07129i | 0.210026 | + | 1.19112i | ||||
\(59\) | −8.04363 | − | 2.92764i | −1.04719 | − | 0.381147i | −0.239589 | − | 0.970874i | \(-0.577013\pi\) |
−0.807602 | + | 0.589728i | \(0.799235\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.492064 | − | 2.79063i | 0.0630023 | − | 0.357304i | −0.936967 | − | 0.349419i | \(-0.886379\pi\) |
0.999969 | − | 0.00788485i | \(-0.00250985\pi\) | |||||||
\(62\) | 1.76795 | − | 3.06218i | 0.224530 | − | 0.388898i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 10.2010 | − | 3.71285i | 1.26528 | − | 0.460523i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.47702 | − | 6.27396i | 0.913463 | − | 0.766487i | −0.0593114 | − | 0.998240i | \(-0.518890\pi\) |
0.972775 | + | 0.231753i | \(0.0744460\pi\) | |||||||
\(68\) | −2.89988 | + | 2.43329i | −0.351662 | + | 0.295079i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.87232 | − | 2.86529i | 0.940923 | − | 0.342468i | ||||
\(71\) | −5.86207 | − | 10.1534i | −0.695700 | − | 1.20499i | −0.969944 | − | 0.243327i | \(-0.921761\pi\) |
0.274244 | − | 0.961660i | \(-0.411572\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.375162 | + | 0.649800i | −0.0439094 | + | 0.0760534i | −0.887145 | − | 0.461491i | \(-0.847315\pi\) |
0.843235 | + | 0.537544i | \(0.180648\pi\) | |||||||
\(74\) | −0.617250 | + | 3.50060i | −0.0717539 | + | 0.406937i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.19605 | + | 0.435326i | 0.137196 | + | 0.0499354i | ||||
\(77\) | 0.148014 | + | 0.839430i | 0.0168678 | + | 0.0956620i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.81383 | − | 1.52198i | −0.204071 | − | 0.171236i | 0.535024 | − | 0.844837i | \(-0.320302\pi\) |
−0.739096 | + | 0.673600i | \(0.764747\pi\) | |||||||
\(80\) | −2.08802 | −0.233447 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.73940 | 0.302516 | ||||||||
\(83\) | 8.73328 | + | 7.32809i | 0.958602 | + | 0.804363i | 0.980725 | − | 0.195393i | \(-0.0625981\pi\) |
−0.0221230 | + | 0.999755i | \(0.507043\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.37256 | + | 7.78415i | 0.148875 | + | 0.844310i | ||||
\(86\) | 6.48062 | + | 2.35875i | 0.698823 | + | 0.254351i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.0368910 | − | 0.209219i | 0.00393259 | − | 0.0223028i | ||||
\(89\) | 2.69813 | − | 4.67329i | 0.286001 | − | 0.495368i | −0.686851 | − | 0.726799i | \(-0.741007\pi\) |
0.972851 | + | 0.231431i | \(0.0743407\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.4298 | + | 18.0649i | 1.09334 | + | 1.89372i | ||||
\(92\) | 0.779421 | − | 0.283686i | 0.0812602 | − | 0.0295763i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.978448 | + | 0.821016i | −0.100919 | + | 0.0846813i | ||||
\(95\) | 2.03588 | − | 1.70830i | 0.208876 | − | 0.175268i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.8055 | − | 4.29685i | 1.19867 | − | 0.436279i | 0.335909 | − | 0.941895i | \(-0.390957\pi\) |
0.862759 | + | 0.505615i | \(0.168734\pi\) | |||||||
\(98\) | 4.54889 | + | 7.87892i | 0.459508 | + | 0.795891i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.320093 | − | 0.554417i | 0.0320093 | − | 0.0554417i | ||||
\(101\) | 0.502628 | − | 2.85055i | 0.0500134 | − | 0.283640i | −0.949536 | − | 0.313658i | \(-0.898445\pi\) |
0.999549 | + | 0.0300181i | \(0.00955651\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −15.6835 | − | 5.70832i | −1.54534 | − | 0.562458i | −0.578022 | − | 0.816021i | \(-0.696175\pi\) |
−0.967319 | + | 0.253564i | \(0.918397\pi\) | |||||||
\(104\) | −0.902802 | − | 5.12004i | −0.0885270 | − | 0.502061i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.65573 | − | 7.26302i | −0.840719 | − | 0.705447i | ||||
\(107\) | −0.321371 | −0.0310681 | −0.0155341 | − | 0.999879i | \(-0.504945\pi\) | ||||
−0.0155341 | + | 0.999879i | \(0.504945\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.568378 | 0.0544407 | 0.0272204 | − | 0.999629i | \(-0.491334\pi\) | ||||
0.0272204 | + | 0.999629i | \(0.491334\pi\) | |||||||
\(110\) | −0.339811 | − | 0.285136i | −0.0323998 | − | 0.0271866i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.696712 | − | 3.95125i | −0.0658331 | − | 0.373358i | ||||
\(113\) | −1.27781 | − | 0.465084i | −0.120206 | − | 0.0437514i | 0.281217 | − | 0.959644i | \(-0.409262\pi\) |
−0.401423 | + | 0.915893i | \(0.631484\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.300739 | − | 1.70558i | 0.0280441 | − | 0.159046i | ||||
\(116\) | 4.60562 | − | 7.97716i | 0.427621 | − | 0.740661i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.27993 | + | 7.41305i | 0.393999 | + | 0.682427i | ||||
\(119\) | −14.2723 | + | 5.19470i | −1.30834 | + | 0.476198i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.39191 | + | 7.04165i | −0.762901 | + | 0.640150i | ||||
\(122\) | −2.17073 | + | 1.82146i | −0.196528 | + | 0.164907i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.32266 | + | 1.20935i | −0.298384 | + | 0.108603i | ||||
\(125\) | −5.88840 | − | 10.1990i | −0.526675 | − | 0.912227i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.902007 | + | 1.56232i | −0.0800402 | + | 0.138634i | −0.903267 | − | 0.429079i | \(-0.858838\pi\) |
0.823227 | + | 0.567713i | \(0.192172\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −10.2010 | − | 3.71285i | −0.894685 | − | 0.325639i | ||||
\(131\) | 1.68689 | + | 9.56684i | 0.147384 | + | 0.835859i | 0.965422 | + | 0.260694i | \(0.0839512\pi\) |
−0.818037 | + | 0.575165i | \(0.804938\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.91201 | + | 3.28257i | 0.339215 | + | 0.284635i | ||||
\(134\) | −9.76056 | −0.843184 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.78552 | 0.324606 | ||||||||
\(137\) | 6.94643 | + | 5.82875i | 0.593474 | + | 0.497984i | 0.889340 | − | 0.457246i | \(-0.151164\pi\) |
−0.295867 | + | 0.955229i | \(0.595608\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.74358 | − | 9.88833i | −0.147888 | − | 0.838717i | −0.965002 | − | 0.262241i | \(-0.915538\pi\) |
0.817114 | − | 0.576476i | \(-0.195573\pi\) | |||||||
\(140\) | −7.87232 | − | 2.86529i | −0.665333 | − | 0.242161i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.03588 | + | 11.5460i | −0.170847 | + | 0.968921i | ||||
\(143\) | 0.552258 | − | 0.956539i | 0.0461822 | − | 0.0799898i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.61660 | − | 16.6564i | −0.798615 | − | 1.38324i | ||||
\(146\) | 0.705075 | − | 0.256626i | 0.0583524 | − | 0.0212385i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.72298 | − | 2.28485i | 0.223828 | − | 0.187814i | ||||
\(149\) | −12.1360 | + | 10.1833i | −0.994221 | + | 0.834250i | −0.986173 | − | 0.165718i | \(-0.947006\pi\) |
−0.00804728 | + | 0.999968i | \(0.502562\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.98746 | + | 1.81529i | −0.405874 | + | 0.147726i | −0.536886 | − | 0.843655i | \(-0.680400\pi\) |
0.131012 | + | 0.991381i | \(0.458177\pi\) | |||||||
\(152\) | −0.636405 | − | 1.10229i | −0.0516192 | − | 0.0894071i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.426190 | − | 0.738183i | 0.0343434 | − | 0.0594845i | ||||
\(155\) | −1.28205 | + | 7.27086i | −0.102977 | + | 0.584010i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.8225 | + | 3.93906i | 0.863727 | + | 0.314371i | 0.735624 | − | 0.677390i | \(-0.236889\pi\) |
0.128103 | + | 0.991761i | \(0.459111\pi\) | |||||||
\(158\) | 0.411161 | + | 2.33181i | 0.0327102 | + | 0.185509i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.59951 | + | 1.34215i | 0.126453 | + | 0.106106i | ||||
\(161\) | 3.32789 | 0.262275 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.66336 | 0.600241 | 0.300120 | − | 0.953901i | \(-0.402973\pi\) | ||||
0.300120 | + | 0.953901i | \(0.402973\pi\) | |||||||
\(164\) | −2.09850 | − | 1.76085i | −0.163865 | − | 0.137499i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.97967 | − | 11.2273i | −0.153653 | − | 0.871407i | ||||
\(167\) | 5.74151 | + | 2.08974i | 0.444292 | + | 0.161709i | 0.554472 | − | 0.832203i | \(-0.312920\pi\) |
−0.110180 | + | 0.993912i | \(0.535143\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.43626 | − | 13.8167i | 0.187405 | − | 1.06283i | ||||
\(170\) | 3.95212 | − | 6.84527i | 0.303114 | − | 0.525008i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.44827 | − | 5.97257i | −0.262928 | − | 0.455404i | ||||
\(173\) | −10.6218 | + | 3.86602i | −0.807561 | + | 0.293928i | −0.712616 | − | 0.701554i | \(-0.752490\pi\) |
−0.0949449 | + | 0.995483i | \(0.530268\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.96763 | − | 1.65104i | 0.148739 | − | 0.124807i | ||||
\(176\) | −0.162744 | + | 0.136558i | −0.0122673 | + | 0.0102935i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.07082 | + | 1.84563i | −0.380074 | + | 0.138336i | ||||
\(179\) | 3.46495 | + | 6.00147i | 0.258982 | + | 0.448571i | 0.965970 | − | 0.258656i | \(-0.0832795\pi\) |
−0.706987 | + | 0.707226i | \(0.749946\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.51882 | + | 2.63067i | −0.112893 | + | 0.195536i | −0.916935 | − | 0.399036i | \(-0.869345\pi\) |
0.804043 | + | 0.594572i | \(0.202678\pi\) | |||||||
\(182\) | 3.62223 | − | 20.5427i | 0.268497 | − | 1.52272i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.779421 | − | 0.283686i | −0.0574597 | − | 0.0209136i | ||||
\(185\) | −1.28883 | − | 7.30931i | −0.0947566 | − | 0.537391i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.616070 | + | 0.516944i | 0.0450515 | + | 0.0378027i | ||||
\(188\) | 1.27727 | 0.0931547 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.65765 | −0.192806 | ||||||||
\(191\) | 3.90467 | + | 3.27640i | 0.282532 | + | 0.237072i | 0.773029 | − | 0.634370i | \(-0.218741\pi\) |
−0.490498 | + | 0.871443i | \(0.663185\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.27644 | + | 18.5816i | 0.235843 | + | 1.33753i | 0.840830 | + | 0.541299i | \(0.182067\pi\) |
−0.604987 | + | 0.796235i | \(0.706822\pi\) | |||||||
\(194\) | −11.8055 | − | 4.29685i | −0.847586 | − | 0.308496i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.57981 | − | 8.95957i | 0.112844 | − | 0.639969i | ||||
\(197\) | −10.0220 | + | 17.3586i | −0.714036 | + | 1.23675i | 0.249294 | + | 0.968428i | \(0.419801\pi\) |
−0.963330 | + | 0.268319i | \(0.913532\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.75106 | − | 4.76498i | −0.195018 | − | 0.337780i | 0.751889 | − | 0.659290i | \(-0.229143\pi\) |
−0.946906 | + | 0.321510i | \(0.895810\pi\) | |||||||
\(200\) | −0.601578 | + | 0.218956i | −0.0425380 | + | 0.0154826i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.21733 | + | 1.86056i | −0.156011 | + | 0.130909i | ||||
\(203\) | 28.3110 | − | 23.7557i | 1.98704 | − | 1.66733i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.37495 | + | 1.95632i | −0.375403 | + | 0.136635i | ||||
\(206\) | 8.34501 | + | 14.4540i | 0.581425 | + | 1.00706i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.59951 | + | 4.50249i | −0.180244 | + | 0.312191i | ||||
\(209\) | 0.0469552 | − | 0.266296i | 0.00324796 | − | 0.0184201i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 23.6287 | + | 8.60014i | 1.62667 | + | 0.592058i | 0.984636 | − | 0.174621i | \(-0.0558699\pi\) |
0.642031 | + | 0.766679i | \(0.278092\pi\) | |||||||
\(212\) | 1.96209 | + | 11.1276i | 0.134757 | + | 0.764246i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.246185 | + | 0.206573i | 0.0168288 | + | 0.0141211i | ||||
\(215\) | −14.4001 | −0.982077 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −14.1868 | −0.963061 | ||||||||
\(218\) | −0.435403 | − | 0.365346i | −0.0294892 | − | 0.0247444i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0770290 | + | 0.436853i | 0.00519329 | + | 0.0294526i | ||||
\(221\) | 18.4941 | + | 6.73131i | 1.24405 | + | 0.452797i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.651596 | + | 3.69539i | −0.0436341 | + | 0.247461i | −0.998821 | − | 0.0485415i | \(-0.984543\pi\) |
0.955187 | + | 0.296003i | \(0.0956538\pi\) | |||||||
\(224\) | −2.00610 | + | 3.47467i | −0.134038 | + | 0.232161i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.679907 | + | 1.17763i | 0.0452267 | + | 0.0783350i | ||||
\(227\) | 17.5983 | − | 6.40524i | 1.16804 | − | 0.425131i | 0.316076 | − | 0.948734i | \(-0.397635\pi\) |
0.851962 | + | 0.523603i | \(0.175412\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.17397 | + | 2.66328i | −0.209742 | + | 0.175994i | −0.741607 | − | 0.670835i | \(-0.765936\pi\) |
0.531865 | + | 0.846829i | \(0.321491\pi\) | |||||||
\(230\) | −1.32670 | + | 1.11324i | −0.0874803 | + | 0.0734047i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.65573 | + | 3.15043i | −0.568276 | + | 0.206836i | ||||
\(233\) | −0.958556 | − | 1.66027i | −0.0627971 | − | 0.108768i | 0.832918 | − | 0.553397i | \(-0.186669\pi\) |
−0.895715 | + | 0.444629i | \(0.853335\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.33348 | − | 2.30966i | 0.0869869 | − | 0.150666i | ||||
\(236\) | 1.48640 | − | 8.42981i | 0.0967566 | − | 0.548734i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 14.2723 | + | 5.19470i | 0.925138 | + | 0.336723i | ||||
\(239\) | −4.20216 | − | 23.8316i | −0.271815 | − | 1.54154i | −0.748900 | − | 0.662683i | \(-0.769418\pi\) |
0.477085 | − | 0.878857i | \(-0.341693\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.1156 | + | 8.48797i | 0.651601 | + | 0.546758i | 0.907556 | − | 0.419931i | \(-0.137946\pi\) |
−0.255955 | + | 0.966689i | \(0.582390\pi\) | |||||||
\(242\) | 10.9549 | 0.704205 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.83368 | 0.181408 | ||||||||
\(245\) | −14.5520 | − | 12.2106i | −0.929695 | − | 0.780107i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.14909 | − | 6.51684i | −0.0731151 | − | 0.414656i | ||||
\(248\) | 3.32266 | + | 1.20935i | 0.210989 | + | 0.0767938i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.04502 | + | 11.5979i | −0.129338 | + | 0.733515i | ||||
\(251\) | −4.32994 | + | 7.49967i | −0.273303 | + | 0.473375i | −0.969706 | − | 0.244276i | \(-0.921450\pi\) |
0.696402 | + | 0.717652i | \(0.254783\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0881062 | − | 0.152604i | −0.00553919 | − | 0.00959415i | ||||
\(254\) | 1.69522 | − | 0.617009i | 0.106368 | − | 0.0387146i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −16.7233 | + | 14.0326i | −1.04317 | + | 0.875326i | −0.992359 | − | 0.123382i | \(-0.960626\pi\) |
−0.0508142 | + | 0.998708i | \(0.516182\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.4017 | − | 4.87782i | 0.832741 | − | 0.303093i | ||||
\(260\) | 5.42783 | + | 9.40127i | 0.336620 | + | 0.583042i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.85721 | − | 8.41294i | 0.300080 | − | 0.519753i | ||||
\(263\) | 0.987629 | − | 5.60112i | 0.0608998 | − | 0.345380i | −0.939099 | − | 0.343648i | \(-0.888337\pi\) |
0.999998 | − | 0.00173240i | \(-0.000551441\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 22.1702 | + | 8.06929i | 1.36190 | + | 0.495692i | ||||
\(266\) | −0.886782 | − | 5.02919i | −0.0543721 | − | 0.308359i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.47702 | + | 6.27396i | 0.456732 | + | 0.383243i | ||||
\(269\) | 22.7662 | 1.38808 | 0.694041 | − | 0.719936i | \(-0.255829\pi\) | ||||
0.694041 | + | 0.719936i | \(0.255829\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.8340 | −1.20483 | −0.602414 | − | 0.798184i | \(-0.705794\pi\) | ||||
−0.602414 | + | 0.798184i | \(0.705794\pi\) | |||||||
\(272\) | −2.89988 | − | 2.43329i | −0.175831 | − | 0.147540i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.57463 | − | 8.93016i | −0.0951268 | − | 0.539491i | ||||
\(275\) | −0.127803 | − | 0.0465166i | −0.00770683 | − | 0.00280506i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.19132 | + | 23.7701i | −0.251832 | + | 1.42821i | 0.552244 | + | 0.833683i | \(0.313772\pi\) |
−0.804076 | + | 0.594527i | \(0.797339\pi\) | |||||||
\(278\) | −5.02044 | + | 8.69565i | −0.301106 | + | 0.521530i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.18878 | + | 7.25517i | 0.250327 | + | 0.433579i | ||||
\(281\) | −22.2287 | + | 8.09058i | −1.32605 | + | 0.482644i | −0.905393 | − | 0.424575i | \(-0.860424\pi\) |
−0.420660 | + | 0.907219i | \(0.638201\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.90462 | + | 7.47186i | −0.529325 | + | 0.444156i | −0.867868 | − | 0.496795i | \(-0.834510\pi\) |
0.338543 | + | 0.940951i | \(0.390066\pi\) | |||||||
\(284\) | 8.98121 | − | 7.53613i | 0.532937 | − | 0.447187i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.03791 | + | 0.377767i | −0.0613727 | + | 0.0223378i | ||||
\(287\) | −5.49551 | − | 9.51850i | −0.324390 | − | 0.561859i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.33491 | − | 2.31213i | 0.0785239 | − | 0.136007i | ||||
\(290\) | −3.33981 | + | 18.9410i | −0.196120 | + | 1.11225i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.705075 | − | 0.256626i | −0.0412614 | − | 0.0150179i | ||||
\(293\) | 1.85993 | + | 10.5482i | 0.108658 | + | 0.616232i | 0.989696 | + | 0.143186i | \(0.0457346\pi\) |
−0.881037 | + | 0.473046i | \(0.843154\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.6916 | − | 11.4886i | −0.797156 | − | 0.668893i | ||||
\(296\) | −3.55460 | −0.206607 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.8424 | 0.917728 | ||||||||
\(299\) | −3.30341 | − | 2.77189i | −0.191041 | − | 0.160302i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.80490 | − | 27.2499i | −0.276950 | − | 1.57066i | ||||
\(302\) | 4.98746 | + | 1.81529i | 0.286996 | + | 0.104458i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.221021 | + | 1.25347i | −0.0126764 | + | 0.0718916i | ||||
\(305\) | 2.95839 | − | 5.12408i | 0.169397 | − | 0.293404i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.3938 | − | 21.4667i | −0.707351 | − | 1.22517i | −0.965836 | − | 0.259153i | \(-0.916557\pi\) |
0.258485 | − | 0.966015i | \(-0.416777\pi\) | |||||||
\(308\) | −0.800975 | + | 0.291531i | −0.0456398 | + | 0.0166115i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.65573 | − | 4.74572i | 0.321224 | − | 0.269539i | ||||
\(311\) | 16.6871 | − | 14.0022i | 0.946241 | − | 0.793990i | −0.0324195 | − | 0.999474i | \(-0.510321\pi\) |
0.978660 | + | 0.205484i | \(0.0658768\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.83542 | − | 3.21583i | 0.499408 | − | 0.181770i | −0.0800199 | − | 0.996793i | \(-0.525498\pi\) |
0.579428 | + | 0.815024i | \(0.303276\pi\) | |||||||
\(314\) | −5.75852 | − | 9.97404i | −0.324972 | − | 0.562868i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.18389 | − | 2.05056i | 0.0665990 | − | 0.115353i | ||||
\(317\) | 2.51892 | − | 14.2855i | 0.141477 | − | 0.802353i | −0.828652 | − | 0.559763i | \(-0.810892\pi\) |
0.970129 | − | 0.242590i | \(-0.0779969\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.83888 | − | 0.669298i | −0.102958 | − | 0.0374735i | ||||
\(320\) | −0.362580 | − | 2.05630i | −0.0202689 | − | 0.114950i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.54931 | − | 2.13913i | −0.142068 | − | 0.119209i | ||||
\(323\) | 4.81825 | 0.268095 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.32834 | −0.184623 | ||||||||
\(326\) | −5.87047 | − | 4.92591i | −0.325135 | − | 0.272821i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.475691 | + | 2.69778i | 0.0262656 | + | 0.148960i | ||||
\(329\) | 4.81563 | + | 1.75274i | 0.265494 | + | 0.0966319i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.140089 | − | 0.794483i | 0.00769998 | − | 0.0436688i | −0.980716 | − | 0.195440i | \(-0.937387\pi\) |
0.988416 | + | 0.151771i | \(0.0484977\pi\) | |||||||
\(332\) | −5.70024 | + | 9.87311i | −0.312842 | + | 0.541857i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.05500 | − | 5.29141i | −0.167162 | − | 0.289533i | ||||
\(335\) | 19.1511 | − | 6.97044i | 1.04634 | − | 0.380836i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −20.4272 | + | 17.1404i | −1.11274 | + | 0.933700i | −0.998215 | − | 0.0597207i | \(-0.980979\pi\) |
−0.114525 | + | 0.993420i | \(0.536535\pi\) | |||||||
\(338\) | −10.7475 | + | 9.01824i | −0.584588 | + | 0.490527i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.42755 | + | 2.70341i | −0.402816 | + | 0.146613i | ||||
\(341\) | 0.375596 | + | 0.650551i | 0.0203396 | + | 0.0352293i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.20838 | − | 7.28912i | 0.227231 | − | 0.393576i | ||||
\(344\) | −1.19757 | + | 6.79176i | −0.0645687 | + | 0.366187i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.6218 | + | 3.86602i | 0.571032 | + | 0.207839i | ||||
\(347\) | 5.05391 | + | 28.6621i | 0.271308 | + | 1.53866i | 0.750450 | + | 0.660927i | \(0.229837\pi\) |
−0.479142 | + | 0.877737i | \(0.659052\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −22.6355 | − | 18.9934i | −1.21165 | − | 1.01669i | −0.999219 | − | 0.0395179i | \(-0.987418\pi\) |
−0.212430 | − | 0.977176i | \(-0.568138\pi\) | |||||||
\(350\) | −2.56856 | −0.137295 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.212447 | 0.0113235 | ||||||||
\(353\) | −4.78974 | − | 4.01907i | −0.254932 | − | 0.213913i | 0.506361 | − | 0.862322i | \(-0.330990\pi\) |
−0.761293 | + | 0.648408i | \(0.775435\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.25094 | − | 24.1083i | −0.225617 | − | 1.27954i | ||||
\(356\) | 5.07082 | + | 1.84563i | 0.268753 | + | 0.0978180i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.20336 | − | 6.82462i | 0.0635998 | − | 0.360692i | ||||
\(359\) | −1.29314 | + | 2.23979i | −0.0682495 | + | 0.118212i | −0.898131 | − | 0.439728i | \(-0.855075\pi\) |
0.829881 | + | 0.557940i | \(0.188408\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.68998 | + | 15.0515i | 0.457367 | + | 0.792183i | ||||
\(362\) | 2.85444 | − | 1.03893i | 0.150026 | − | 0.0546050i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −15.9794 | + | 13.4083i | −0.837546 | + | 0.702784i | ||||
\(365\) | −1.20015 | + | 1.00705i | −0.0628190 | + | 0.0527114i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −17.5546 | + | 6.38935i | −0.916342 | + | 0.333521i | −0.756782 | − | 0.653667i | \(-0.773230\pi\) |
−0.159560 | + | 0.987188i | \(0.551007\pi\) | |||||||
\(368\) | 0.414721 | + | 0.718318i | 0.0216188 | + | 0.0374449i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.71104 | + | 6.42770i | −0.192928 | + | 0.334160i | ||||
\(371\) | −7.87232 | + | 44.6462i | −0.408711 | + | 2.31791i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.7104 | − | 4.62621i | −0.658120 | − | 0.239536i | −0.00869564 | − | 0.999962i | \(-0.502768\pi\) |
−0.649425 | + | 0.760426i | \(0.724990\pi\) | |||||||
\(374\) | −0.139652 | − | 0.792004i | −0.00722122 | − | 0.0409536i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.978448 | − | 0.821016i | −0.0504596 | − | 0.0423406i | ||||
\(377\) | −47.8894 | −2.46643 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 30.2178 | 1.55218 | 0.776092 | − | 0.630620i | \(-0.217199\pi\) | ||||
0.776092 | + | 0.630620i | \(0.217199\pi\) | |||||||
\(380\) | 2.03588 | + | 1.70830i | 0.104438 | + | 0.0876341i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.885116 | − | 5.01974i | −0.0452865 | − | 0.256832i | ||||
\(383\) | −36.2619 | − | 13.1982i | −1.85289 | − | 0.674398i | −0.983670 | − | 0.179980i | \(-0.942397\pi\) |
−0.869224 | − | 0.494419i | \(-0.835381\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.309056 | + | 1.75274i | −0.0157510 | + | 0.0893281i | ||||
\(386\) | 9.43413 | − | 16.3404i | 0.480185 | − | 0.831704i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.28158 | + | 10.8800i | 0.318899 | + | 0.552349i | ||||
\(389\) | −5.28688 | + | 1.92427i | −0.268056 | + | 0.0975642i | −0.472551 | − | 0.881303i | \(-0.656667\pi\) |
0.204496 | + | 0.978867i | \(0.434445\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.40528 | − | 2.01827i | 0.121640 | − | 0.102068i | ||||
\(392\) | −6.96931 | + | 5.84795i | −0.352003 | + | 0.295366i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 18.8352 | − | 6.85544i | 0.948901 | − | 0.345372i | ||||
\(395\) | −2.47198 | − | 4.28160i | −0.124379 | − | 0.215431i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.85809 | + | 6.68240i | −0.193632 | + | 0.335380i | −0.946451 | − | 0.322847i | \(-0.895360\pi\) |
0.752819 | + | 0.658227i | \(0.228693\pi\) | |||||||
\(398\) | −0.955433 | + | 5.41853i | −0.0478915 | + | 0.271606i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.601578 | + | 0.218956i | 0.0300789 | + | 0.0109478i | ||||
\(401\) | −6.31721 | − | 35.8267i | −0.315466 | − | 1.78910i | −0.569593 | − | 0.821927i | \(-0.692899\pi\) |
0.254126 | − | 0.967171i | \(-0.418212\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.0824 | + | 11.8165i | 0.701494 | + | 0.588623i | ||||
\(404\) | 2.89452 | 0.144008 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −36.9574 | −1.83416 | ||||||||
\(407\) | −0.578489 | − | 0.485410i | −0.0286746 | − | 0.0240609i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.01891 | + | 5.77853i | 0.0503819 | + | 0.285730i | 0.999581 | − | 0.0289462i | \(-0.00921516\pi\) |
−0.949199 | + | 0.314676i | \(0.898104\pi\) | |||||||
\(410\) | 5.37495 | + | 1.95632i | 0.265450 | + | 0.0966159i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.89819 | − | 16.4365i | 0.142784 | − | 0.809766i | ||||
\(413\) | 17.1719 | − | 29.7427i | 0.844976 | − | 1.46354i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.9022 | + | 20.6152i | 0.584256 | + | 1.01196i | ||||
\(416\) | 4.88549 | − | 1.77817i | 0.239531 | − | 0.0871821i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.207142 | + | 0.173812i | −0.0101316 | + | 0.00850145i | ||||
\(419\) | −16.1908 | + | 13.5857i | −0.790972 | + | 0.663704i | −0.945986 | − | 0.324208i | \(-0.894902\pi\) |
0.155014 | + | 0.987912i | \(0.450458\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.99405 | + | 2.54563i | −0.340869 | + | 0.124066i | −0.506782 | − | 0.862074i | \(-0.669165\pi\) |
0.165913 | + | 0.986140i | \(0.446943\pi\) | |||||||
\(422\) | −12.5726 | − | 21.7763i | −0.612023 | − | 1.06005i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.64962 | − | 9.78544i | 0.274370 | − | 0.475223i | ||||
\(425\) | 0.420826 | − | 2.38662i | 0.0204130 | − | 0.115768i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.6837 | + | 3.88853i | 0.517018 | + | 0.188179i | ||||
\(428\) | −0.0558055 | − | 0.316489i | −0.00269746 | − | 0.0152981i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 11.0311 | + | 9.25619i | 0.531967 | + | 0.446373i | ||||
\(431\) | 13.0502 | 0.628607 | 0.314303 | − | 0.949323i | \(-0.398229\pi\) | ||||
0.314303 | + | 0.949323i | \(0.398229\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.143533 | 0.00689775 | 0.00344887 | − | 0.999994i | \(-0.498902\pi\) | ||||
0.00344887 | + | 0.999994i | \(0.498902\pi\) | |||||||
\(434\) | 10.8677 | + | 9.11908i | 0.521666 | + | 0.437730i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.0986977 | + | 0.559743i | 0.00472676 | + | 0.0268068i | ||||
\(437\) | −0.992054 | − | 0.361078i | −0.0474564 | − | 0.0172727i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.35406 | − | 13.3506i | 0.112353 | − | 0.637187i | −0.875673 | − | 0.482904i | \(-0.839582\pi\) |
0.988027 | − | 0.154283i | \(-0.0493069\pi\) | |||||||
\(440\) | 0.221796 | − | 0.384162i | 0.0105737 | − | 0.0183142i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.84052 | − | 17.0443i | −0.468066 | − | 0.810714i | ||||
\(443\) | 11.5406 | − | 4.20044i | 0.548311 | − | 0.199569i | −0.0529847 | − | 0.998595i | \(-0.516873\pi\) |
0.601296 | + | 0.799026i | \(0.294651\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.63138 | − | 7.24258i | 0.409166 | − | 0.343331i | ||||
\(446\) | 2.87450 | − | 2.41199i | 0.136112 | − | 0.114211i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.77024 | − | 1.37225i | 0.178127 | − | 0.0648329i | ||||
\(449\) | 20.3323 | + | 35.2165i | 0.959540 | + | 1.66197i | 0.723620 | + | 0.690199i | \(0.242477\pi\) |
0.235920 | + | 0.971772i | \(0.424190\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.290988 | + | 0.504006i | −0.0137021 | + | 0.0237327i | ||||
\(452\) | 0.236129 | − | 1.33916i | 0.0111066 | − | 0.0629886i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −17.5983 | − | 6.40524i | −0.825928 | − | 0.300613i | ||||
\(455\) | 7.56327 | + | 42.8934i | 0.354571 | + | 2.01087i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 24.9661 | + | 20.9491i | 1.16787 | + | 0.979956i | 0.999983 | − | 0.00585037i | \(-0.00186224\pi\) |
0.167884 | + | 0.985807i | \(0.446307\pi\) | |||||||
\(458\) | 4.14333 | 0.193605 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.73189 | 0.0807498 | ||||||||
\(461\) | 20.9287 | + | 17.5612i | 0.974745 | + | 0.817909i | 0.983288 | − | 0.182055i | \(-0.0582749\pi\) |
−0.00854291 | + | 0.999964i | \(0.502719\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.590262 | − | 3.34754i | −0.0274318 | − | 0.155574i | 0.968015 | − | 0.250892i | \(-0.0807240\pi\) |
−0.995447 | + | 0.0953189i | \(0.969613\pi\) | |||||||
\(464\) | 8.65573 | + | 3.15043i | 0.401832 | + | 0.146255i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.332903 | + | 1.88799i | −0.0154214 | + | 0.0874593i | ||||
\(467\) | 16.4988 | − | 28.5767i | 0.763473 | − | 1.32237i | −0.177577 | − | 0.984107i | \(-0.556826\pi\) |
0.941050 | − | 0.338267i | \(-0.109841\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.5807 | + | 33.9147i | 0.904152 | + | 1.56604i | ||||
\(470\) | −2.50613 | + | 0.912157i | −0.115599 | + | 0.0420747i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.55723 | + | 5.50217i | −0.301821 | + | 0.253258i | ||||
\(473\) | −1.12237 | + | 0.941778i | −0.0516065 | + | 0.0433030i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.765694 | + | 0.278690i | −0.0351324 | + | 0.0127872i | ||||
\(476\) | −7.59415 | − | 13.1534i | −0.348077 | − | 0.602887i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.0996 | + | 20.9572i | −0.553424 | + | 0.958559i | ||||
\(479\) | 4.00142 | − | 22.6932i | 0.182830 | − | 1.03688i | −0.745883 | − | 0.666077i | \(-0.767972\pi\) |
0.928712 | − | 0.370801i | \(-0.120917\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.3660 | − | 6.32070i | −0.791820 | − | 0.288199i | ||||
\(482\) | −2.29301 | − | 13.0043i | −0.104444 | − | 0.592331i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.39191 | − | 7.04165i | −0.381451 | − | 0.320075i | ||||
\(485\) | 26.2321 | 1.19114 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 26.9315 | 1.22038 | 0.610192 | − | 0.792254i | \(-0.291092\pi\) | ||||
0.610192 | + | 0.792254i | \(0.291092\pi\) | |||||||
\(488\) | −2.17073 | − | 1.82146i | −0.0982641 | − | 0.0824534i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.29868 | + | 18.7077i | 0.149019 | + | 0.845129i | ||||
\(491\) | −0.233037 | − | 0.0848187i | −0.0105168 | − | 0.00382781i | 0.336756 | − | 0.941592i | \(-0.390670\pi\) |
−0.347273 | + | 0.937764i | \(0.612892\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.05500 | − | 34.3396i | 0.272703 | − | 1.54658i | ||||
\(494\) | −3.30869 | + | 5.73081i | −0.148865 | + | 0.257841i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.76795 | − | 3.06218i | −0.0793834 | − | 0.137496i | ||||
\(497\) | 44.2028 | − | 16.0885i | 1.98277 | − | 0.721668i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.4674 | + | 17.1742i | −0.916247 | + | 0.768822i | −0.973297 | − | 0.229549i | \(-0.926275\pi\) |
0.0570505 | + | 0.998371i | \(0.481830\pi\) | |||||||
\(500\) | 9.02155 | − | 7.56998i | 0.403456 | − | 0.338540i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.13762 | − | 2.96185i | 0.363200 | − | 0.132194i | ||||
\(503\) | 13.0871 | + | 22.6676i | 0.583527 | + | 1.01070i | 0.995057 | + | 0.0993022i | \(0.0316611\pi\) |
−0.411530 | + | 0.911396i | \(0.635006\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.02190 | − | 5.23409i | 0.134473 | − | 0.232914i | ||||
\(506\) | −0.0305989 | + | 0.173535i | −0.00136029 | + | 0.00771458i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.69522 | − | 0.617009i | −0.0752132 | − | 0.0273754i | ||||
\(509\) | −0.947739 | − | 5.37490i | −0.0420078 | − | 0.238238i | 0.956573 | − | 0.291492i | \(-0.0941518\pi\) |
−0.998581 | + | 0.0532542i | \(0.983041\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.30614 | − | 1.93508i | −0.102018 | − | 0.0856031i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 21.8308 | 0.962914 | ||||||||
\(515\) | −26.6959 | − | 22.4005i | −1.17636 | − | 0.987086i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.0471199 | − | 0.267230i | −0.00207233 | − | 0.0117528i | ||||
\(518\) | −13.4017 | − | 4.87782i | −0.588837 | − | 0.214319i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.88506 | − | 10.6907i | 0.0826656 | − | 0.468820i | ||||
\(521\) | −13.0596 | + | 22.6199i | −0.572151 | + | 0.990995i | 0.424194 | + | 0.905572i | \(0.360558\pi\) |
−0.996345 | + | 0.0854234i | \(0.972776\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.70382 | − | 6.41521i | −0.161957 | − | 0.280518i | 0.773614 | − | 0.633658i | \(-0.218447\pi\) |
−0.935570 | + | 0.353140i | \(0.885114\pi\) | |||||||
\(524\) | −9.12858 | + | 3.32253i | −0.398784 | + | 0.145145i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.35690 | + | 3.65587i | −0.189970 | + | 0.159404i | ||||
\(527\) | −10.2537 | + | 8.60387i | −0.446658 | + | 0.374791i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.9664 | − | 7.63116i | 0.911585 | − | 0.331790i | ||||
\(530\) | −11.7965 | − | 20.4322i | −0.512408 | − | 0.887516i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.55339 | + | 4.42259i | −0.110703 | + | 0.191744i | ||||
\(533\) | −2.47313 | + | 14.0258i | −0.107123 | + | 0.607526i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.630560 | − | 0.229505i | −0.0272615 | − | 0.00992238i | ||||
\(536\) | −1.69490 | − | 9.61227i | −0.0732086 | − | 0.415187i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −17.4399 | − | 14.6339i | −0.751889 | − | 0.630910i | ||||
\(539\) | −1.93280 | −0.0832514 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.3209 | 0.486725 | 0.243362 | − | 0.969935i | \(-0.421750\pi\) | ||||
0.243362 | + | 0.969935i | \(0.421750\pi\) | |||||||
\(542\) | 15.1937 | + | 12.7490i | 0.652625 | + | 0.547617i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.657349 | + | 3.72801i | 0.0281836 | + | 0.159837i | ||||
\(545\) | 1.11521 | + | 0.405903i | 0.0477704 | + | 0.0173870i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.84721 | + | 10.4761i | −0.0789811 | + | 0.447924i | 0.919513 | + | 0.393060i | \(0.128584\pi\) |
−0.998494 | + | 0.0548639i | \(0.982528\pi\) | |||||||
\(548\) | −4.53396 | + | 7.85305i | −0.193681 | + | 0.335466i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.0680027 | + | 0.117784i | 0.00289964 | + | 0.00502233i | ||||
\(551\) | −11.0171 | + | 4.00989i | −0.469344 | + | 0.170827i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.27744 | − | 6.10650i | 0.309468 | − | 0.259675i | ||||
\(554\) | 18.4899 | − | 15.5149i | 0.785560 | − | 0.659163i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.43533 | − | 3.43418i | 0.400147 | − | 0.145642i | ||||
\(557\) | −5.92385 | − | 10.2604i | −0.251001 | − | 0.434747i | 0.712800 | − | 0.701367i | \(-0.247427\pi\) |
−0.963802 | + | 0.266620i | \(0.914093\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.9276 | + | 31.0516i | −0.758258 | + | 1.31334i | ||||
\(560\) | 1.45475 | − | 8.25028i | 0.0614743 | − | 0.348638i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 22.2287 | + | 8.09058i | 0.937661 | + | 0.341281i | ||||
\(563\) | −1.04327 | − | 5.91667i | −0.0439686 | − | 0.249358i | 0.954899 | − | 0.296930i | \(-0.0959628\pi\) |
−0.998868 | + | 0.0475719i | \(0.984852\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.17504 | − | 1.82508i | −0.0915047 | − | 0.0767815i | ||||
\(566\) | 11.6242 | 0.488600 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −11.7241 | −0.491934 | ||||||||
\(569\) | 22.3596 | + | 18.7619i | 0.937363 | + | 0.786541i | 0.977124 | − | 0.212669i | \(-0.0682155\pi\) |
−0.0397618 | + | 0.999209i | \(0.512660\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.78797 | + | 21.4826i | 0.158522 | + | 0.899021i | 0.955495 | + | 0.295007i | \(0.0953219\pi\) |
−0.796974 | + | 0.604014i | \(0.793567\pi\) | |||||||
\(572\) | 1.03791 | + | 0.377767i | 0.0433970 | + | 0.0157952i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.90857 | + | 10.8240i | −0.0796622 | + | 0.451787i | ||||
\(575\) | −0.265499 | + | 0.459857i | −0.0110721 | + | 0.0191774i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −20.0399 | − | 34.7102i | −0.834273 | − | 1.44500i | −0.894621 | − | 0.446826i | \(-0.852554\pi\) |
0.0603476 | − | 0.998177i | \(-0.480779\pi\) | |||||||
\(578\) | −2.50880 | + | 0.913130i | −0.104353 | + | 0.0379812i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 14.7335 | − | 12.3629i | 0.611775 | − | 0.513340i | ||||
\(581\) | −35.0397 | + | 29.4018i | −1.45369 | + | 1.21979i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.25572 | − | 0.821016i | 0.0934224 | − | 0.0340030i | ||||
\(584\) | 0.375162 | + | 0.649800i | 0.0155243 | + | 0.0268889i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.35546 | − | 9.27593i | 0.221232 | − | 0.383185i | ||||
\(587\) | 4.66518 | − | 26.4576i | 0.192553 | − | 1.09202i | −0.723309 | − | 0.690525i | \(-0.757380\pi\) |
0.915861 | − | 0.401495i | \(-0.131509\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.22912 | + | 1.53927i | 0.174258 | + | 0.0634246i | ||||
\(590\) | 3.10363 | + | 17.6016i | 0.127775 | + | 0.724646i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.72298 | + | 2.28485i | 0.111914 | + | 0.0939070i | ||||
\(593\) | −30.4609 | −1.25088 | −0.625440 | − | 0.780272i | \(-0.715081\pi\) | ||||
−0.625440 | + | 0.780272i | \(0.715081\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −31.7134 | −1.30012 | ||||||||
\(596\) | −12.1360 | − | 10.1833i | −0.497110 | − | 0.417125i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.748822 | + | 4.24678i | 0.0306216 | + | 0.173664i | ||||
\(599\) | −27.4285 | − | 9.98317i | −1.12070 | − | 0.407901i | −0.285792 | − | 0.958292i | \(-0.592257\pi\) |
−0.834908 | + | 0.550390i | \(0.814479\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.03243 | + | 22.8690i | −0.164486 | + | 0.932847i | 0.785106 | + | 0.619361i | \(0.212608\pi\) |
−0.949593 | + | 0.313487i | \(0.898503\pi\) | |||||||
\(602\) | −13.8352 | + | 23.9632i | −0.563879 | + | 0.976667i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.65377 | − | 4.59647i | −0.107981 | − | 0.187028i | ||||
\(605\) | −21.4945 | + | 7.82335i | −0.873875 | + | 0.318064i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 32.6881 | − | 27.4286i | 1.32677 | − | 1.11329i | 0.341950 | − | 0.939718i | \(-0.388913\pi\) |
0.984821 | − | 0.173574i | \(-0.0555317\pi\) | |||||||
\(608\) | 0.975029 | − | 0.818146i | 0.0395426 | − | 0.0331802i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.55995 | + | 2.02366i | −0.225116 | + | 0.0819354i | ||||
\(611\) | −3.32029 | − | 5.75091i | −0.134325 | − | 0.232657i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.80411 | − | 11.7851i | 0.274815 | − | 0.475994i | −0.695273 | − | 0.718746i | \(-0.744717\pi\) |
0.970089 | + | 0.242752i | \(0.0780500\pi\) | |||||||
\(614\) | −4.30432 | + | 24.4110i | −0.173708 | + | 0.985148i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.800975 | + | 0.291531i | 0.0322722 | + | 0.0117461i | ||||
\(617\) | −4.88447 | − | 27.7012i | −0.196641 | − | 1.11521i | −0.910062 | − | 0.414472i | \(-0.863966\pi\) |
0.713421 | − | 0.700736i | \(-0.247145\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.9355 | − | 12.5323i | −0.600307 | − | 0.503717i | 0.291237 | − | 0.956651i | \(-0.405933\pi\) |
−0.891544 | + | 0.452934i | \(0.850377\pi\) | |||||||
\(620\) | −7.38303 | −0.296510 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −21.7835 | −0.873439 | ||||||||
\(623\) | 16.5855 | + | 13.9169i | 0.664485 | + | 0.557569i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.71420 | − | 21.0643i | −0.148568 | − | 0.842571i | ||||
\(626\) | −8.83542 | − | 3.21583i | −0.353135 | − | 0.128530i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.99991 | + | 11.3421i | −0.0798052 | + | 0.452598i | ||||
\(629\) | 6.72802 | − | 11.6533i | 0.268264 | − | 0.464646i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.27471 | − | 10.8681i | −0.249792 | − | 0.432653i | 0.713676 | − | 0.700476i | \(-0.247029\pi\) |
−0.963468 | + | 0.267823i | \(0.913696\pi\) | |||||||
\(632\) | −2.22499 | + | 0.809829i | −0.0885052 | + | 0.0322133i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.1121 | + | 9.32419i | −0.441319 | + | 0.370311i | ||||
\(635\) | −2.88555 | + | 2.42126i | −0.114509 | + | 0.0960848i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −44.4471 | + | 16.1774i | −1.76106 | + | 0.640973i | ||||
\(638\) | 0.978448 | + | 1.69472i | 0.0387371 | + | 0.0670947i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.04401 | + | 1.80828i | −0.0412681 | + | 0.0714784i | ||||
\(641\) | 2.42288 | − | 13.7409i | 0.0956981 | − | 0.542731i | −0.898833 | − | 0.438291i | \(-0.855584\pi\) |
0.994531 | − | 0.104440i | \(-0.0333050\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −38.5754 | − | 14.0403i | −1.52127 | − | 0.553695i | −0.559802 | − | 0.828627i | \(-0.689123\pi\) |
−0.961464 | + | 0.274931i | \(0.911345\pi\) | |||||||
\(644\) | 0.577882 | + | 3.27733i | 0.0227718 | + | 0.129145i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.69099 | − | 3.09711i | −0.145220 | − | 0.121854i | ||||
\(647\) | −0.303995 | −0.0119513 | −0.00597563 | − | 0.999982i | \(-0.501902\pi\) | ||||
−0.00597563 | + | 0.999982i | \(0.501902\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.81851 | −0.0713829 | ||||||||
\(650\) | 2.54966 | + | 2.13942i | 0.100006 | + | 0.0839149i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.33073 | + | 7.54693i | 0.0521153 | + | 0.295561i | ||||
\(653\) | 44.2755 | + | 16.1150i | 1.73263 | + | 0.630627i | 0.998813 | − | 0.0487170i | \(-0.0155132\pi\) |
0.733820 | + | 0.679344i | \(0.237735\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.52226 | + | 19.9757i | −0.137626 | + | 0.780516i | ||||
\(656\) | 1.36970 | − | 2.37239i | 0.0534777 | − | 0.0926261i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.56234 | − | 4.43811i | −0.0998905 | − | 0.173015i | ||||
\(659\) | −40.3746 | + | 14.6952i | −1.57277 | + | 0.572442i | −0.973617 | − | 0.228190i | \(-0.926719\pi\) |
−0.599156 | + | 0.800633i | \(0.704497\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.0863 | − | 17.6935i | 0.820161 | − | 0.688197i | −0.132849 | − | 0.991136i | \(-0.542412\pi\) |
0.953010 | + | 0.302939i | \(0.0979680\pi\) | |||||||
\(662\) | −0.617998 | + | 0.518562i | −0.0240192 | + | 0.0201545i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.7130 | − | 3.89920i | 0.415743 | − | 0.151318i | ||||
\(665\) | 5.33151 | + | 9.23445i | 0.206747 | + | 0.358097i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.82009 | + | 6.61659i | −0.147915 | + | 0.256196i | ||||
\(668\) | −1.06099 | + | 6.01717i | −0.0410509 | + | 0.232811i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −19.1511 | − | 6.97044i | −0.739873 | − | 0.269292i | ||||
\(671\) | −0.104537 | − | 0.592861i | −0.00403562 | − | 0.0228871i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.7719 | − | 21.6252i | −0.993433 | − | 0.833589i | −0.00737169 | − | 0.999973i | \(-0.502347\pi\) |
−0.986061 | + | 0.166384i | \(0.946791\pi\) | |||||||
\(674\) | 26.6658 | 1.02713 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 14.0299 | 0.539611 | ||||||||
\(677\) | −26.1138 | − | 21.9120i | −1.00363 | − | 0.842148i | −0.0161497 | − | 0.999870i | \(-0.505141\pi\) |
−0.987484 | + | 0.157721i | \(0.949585\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.75290 | + | 49.6402i | 0.335906 | + | 1.90502i | ||||
\(680\) | 7.42755 | + | 2.70341i | 0.284834 | + | 0.103671i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.130443 | − | 0.739779i | 0.00499492 | − | 0.0283276i | ||||
\(683\) | −8.22650 | + | 14.2487i | −0.314778 | + | 0.545212i | −0.979390 | − | 0.201976i | \(-0.935264\pi\) |
0.664612 | + | 0.747189i | \(0.268597\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.46699 | + | 16.3973i | 0.361715 | + | 0.626509i | ||||
\(686\) | −7.90916 | + | 2.87870i | −0.301973 | + | 0.109909i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.28305 | − | 4.43301i | 0.201414 | − | 0.169007i | ||||
\(689\) | 45.0014 | − | 37.7606i | 1.71442 | − | 1.43857i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.4086 | − | 4.88033i | 0.510087 | − | 0.185657i | −0.0741383 | − | 0.997248i | \(-0.523621\pi\) |
0.584225 | + | 0.811591i | \(0.301398\pi\) | |||||||
\(692\) | −5.65174 | − | 9.78911i | −0.214847 | − | 0.372126i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.5521 | − | 25.2051i | 0.552392 | − | 0.956771i | ||||
\(695\) | 3.64062 | − | 20.6470i | 0.138097 | − | 0.783185i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.74465 | − | 3.54676i | −0.369105 | − | 0.134343i | ||||
\(698\) | 5.13104 | + | 29.0996i | 0.194213 | + | 1.10144i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.96763 | + | 1.65104i | 0.0743694 | + | 0.0624033i | ||||
\(701\) | −15.8891 | −0.600123 | −0.300062 | − | 0.953920i | \(-0.597007\pi\) | ||||
−0.300062 | + | 0.953920i | \(0.597007\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.52433 | −0.170638 | ||||||||
\(704\) | −0.162744 | − | 0.136558i | −0.00613363 | − | 0.00514673i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.08575 | + | 6.15757i | 0.0408626 | + | 0.231743i | ||||
\(707\) | 10.9130 | + | 3.97202i | 0.410427 | + | 0.149383i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.43117 | + | 8.11659i | −0.0537488 | + | 0.304825i | −0.999817 | − | 0.0191436i | \(-0.993906\pi\) |
0.946068 | + | 0.323968i | \(0.105017\pi\) | |||||||
\(710\) | −12.2401 | + | 21.2005i | −0.459363 | + | 0.795640i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.69813 | − | 4.67329i | −0.101117 | − | 0.175139i | ||||
\(713\) | 2.75596 | − | 1.00309i | 0.103211 | − | 0.0375659i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.76669 | − | 1.48243i | 0.0660704 | − | 0.0554397i | ||||
\(716\) | −5.30861 | + | 4.45445i | −0.198392 | + | 0.166471i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.43032 | − | 0.884563i | 0.0906986 | − | 0.0330116i | ||||
\(719\) | 10.9348 | + | 18.9397i | 0.407801 | + | 0.706331i | 0.994643 | − | 0.103370i | \(-0.0329625\pi\) |
−0.586842 | + | 0.809701i | \(0.699629\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 33.4819 | − | 57.9923i | 1.24693 | − | 2.15975i | ||||
\(722\) | 3.01800 | − | 17.1159i | 0.112318 | − | 0.636988i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.85444 | − | 1.03893i | −0.106084 | − | 0.0386116i | ||||
\(725\) | 1.02399 | + | 5.80731i | 0.0380299 | + | 0.215678i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 37.2742 | + | 31.2768i | 1.38242 | + | 1.15999i | 0.968305 | + | 0.249769i | \(0.0803548\pi\) |
0.414119 | + | 0.910223i | \(0.364090\pi\) | |||||||
\(728\) | 20.8596 | 0.773107 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.56669 | 0.0579858 | ||||||||
\(731\) | −19.9991 | − | 16.7812i | −0.739694 | − | 0.620677i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.54580 | − | 25.7805i | −0.167903 | − | 0.952226i | −0.946020 | − | 0.324107i | \(-0.894936\pi\) |
0.778117 | − | 0.628119i | \(-0.216175\pi\) | |||||||
\(734\) | 17.5546 | + | 6.38935i | 0.647951 | + | 0.235835i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.144031 | − | 0.816841i | 0.00530906 | − | 0.0301092i | ||||
\(737\) | 1.03680 | − | 1.79579i | 0.0381910 | − | 0.0661487i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.28655 | − | 2.22838i | −0.0473267 | − | 0.0819722i | 0.841392 | − | 0.540426i | \(-0.181737\pi\) |
−0.888718 | + | 0.458454i | \(0.848404\pi\) | |||||||
\(740\) | 6.97447 | − | 2.53850i | 0.256386 | − | 0.0933170i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 34.7285 | − | 29.1407i | 1.27493 | − | 1.06979i | ||||
\(743\) | 37.5339 | − | 31.4947i | 1.37699 | − | 1.15543i | 0.406673 | − | 0.913574i | \(-0.366689\pi\) |
0.970313 | − | 0.241854i | \(-0.0777555\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −31.0843 | + | 11.3138i | −1.13884 | + | 0.414505i | ||||
\(746\) | 6.76307 | + | 11.7140i | 0.247614 | + | 0.428879i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.402111 | + | 0.696477i | −0.0147026 | + | 0.0254657i | ||||
\(749\) | 0.223903 | − | 1.26982i | 0.00818124 | − | 0.0463981i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.99761 | − | 2.91089i | −0.291837 | − | 0.106220i | 0.191953 | − | 0.981404i | \(-0.438518\pi\) |
−0.483790 | + | 0.875184i | \(0.660740\pi\) | |||||||
\(752\) | 0.221796 | + | 1.25787i | 0.00808808 | + | 0.0458698i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 36.6854 | + | 30.7827i | 1.33601 | + | 1.12104i | ||||
\(755\) | −11.0822 | −0.403324 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17.3242 | 0.629658 | 0.314829 | − | 0.949148i | \(-0.398053\pi\) | ||||
0.314829 | + | 0.949148i | \(0.398053\pi\) | |||||||
\(758\) | −23.1482 | − | 19.4236i | −0.840779 | − | 0.705497i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.461496 | − | 2.61727i | −0.0167402 | − | 0.0949384i | ||||
\(761\) | 9.81674 | + | 3.57300i | 0.355856 | + | 0.129521i | 0.513761 | − | 0.857933i | \(-0.328252\pi\) |
−0.157905 | + | 0.987454i | \(0.550474\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.395996 | + | 2.24580i | −0.0143360 | + | 0.0813035i | ||||
\(764\) | −2.54859 | + | 4.41429i | −0.0922047 | + | 0.159703i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 19.2945 | + | 33.4191i | 0.697140 | + | 1.20748i | ||||
\(767\) | −41.8191 | + | 15.2209i | −1.51000 | + | 0.549595i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 30.2202 | − | 25.3577i | 1.08977 | − | 0.914423i | 0.0930721 | − | 0.995659i | \(-0.470331\pi\) |
0.996695 | + | 0.0812363i | \(0.0258868\pi\) | |||||||
\(770\) | 1.36339 | − | 1.14402i | 0.0491333 | − | 0.0412277i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −17.7304 | + | 6.45333i | −0.638130 | + | 0.232260i | ||||
\(773\) | −11.6713 | − | 20.2152i | −0.419786 | − | 0.727091i | 0.576131 | − | 0.817357i | \(-0.304562\pi\) |
−0.995918 | + | 0.0902659i | \(0.971228\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.13182 | − | 1.96037i | 0.0406561 | − | 0.0704184i | ||||
\(776\) | 2.18157 | − | 12.3723i | 0.0783138 | − | 0.444140i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.28688 | + | 1.92427i | 0.189544 | + | 0.0689883i | ||||
\(779\) | 0.605464 | + | 3.43376i | 0.0216930 | + | 0.123027i | ||||
\(780\) | 0 |