Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(95,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 20, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bc (of order \(30\), degree \(8\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.4 | ||
Character | \(\chi\) | \(=\) | 462.95 |
Dual form | 462.2.bc.b.107.4 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104528 | + | 0.994522i | −0.0739128 | + | 0.703233i | ||||
\(3\) | −1.29320 | + | 1.15223i | −0.746630 | + | 0.665239i | ||||
\(4\) | −0.978148 | − | 0.207912i | −0.489074 | − | 0.103956i | ||||
\(5\) | 0.572012 | − | 1.28476i | 0.255812 | − | 0.574562i | −0.739294 | − | 0.673383i | \(-0.764840\pi\) |
0.995105 | + | 0.0988210i | \(0.0315071\pi\) | |||||||
\(6\) | −1.01074 | − | 1.40656i | −0.412633 | − | 0.574225i | ||||
\(7\) | 2.51605 | + | 0.818231i | 0.950977 | + | 0.309262i | ||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 0.344742 | − | 2.98013i | 0.114914 | − | 0.993375i | ||||
\(10\) | 1.21793 | + | 0.703172i | 0.385143 | + | 0.222363i | ||||
\(11\) | 1.92213 | + | 2.70286i | 0.579543 | + | 0.814942i | ||||
\(12\) | 1.50450 | − | 0.858177i | 0.434313 | − | 0.247734i | ||||
\(13\) | 2.90286 | − | 3.99544i | 0.805108 | − | 1.10814i | −0.186951 | − | 0.982369i | \(-0.559861\pi\) |
0.992060 | − | 0.125767i | \(-0.0401393\pi\) | |||||||
\(14\) | −1.07675 | + | 2.41674i | −0.287773 | + | 0.645900i | ||||
\(15\) | 0.740609 | + | 2.32054i | 0.191224 | + | 0.599161i | ||||
\(16\) | 0.913545 | + | 0.406737i | 0.228386 | + | 0.101684i | ||||
\(17\) | 0.333610 | + | 3.17409i | 0.0809124 | + | 0.769830i | 0.957470 | + | 0.288533i | \(0.0931675\pi\) |
−0.876557 | + | 0.481297i | \(0.840166\pi\) | |||||||
\(18\) | 2.92777 | + | 0.654361i | 0.690081 | + | 0.154234i | ||||
\(19\) | 0.221853 | + | 1.04374i | 0.0508965 | + | 0.239449i | 0.996241 | − | 0.0866237i | \(-0.0276078\pi\) |
−0.945345 | + | 0.326073i | \(0.894274\pi\) | |||||||
\(20\) | −0.826629 | + | 1.13776i | −0.184840 | + | 0.254410i | ||||
\(21\) | −4.19655 | + | 1.84092i | −0.915762 | + | 0.401722i | ||||
\(22\) | −2.88897 | + | 1.62907i | −0.615930 | + | 0.347319i | ||||
\(23\) | −2.41806 | + | 1.39607i | −0.504201 | + | 0.291101i | −0.730447 | − | 0.682970i | \(-0.760688\pi\) |
0.226246 | + | 0.974070i | \(0.427355\pi\) | |||||||
\(24\) | 0.696212 | + | 1.58597i | 0.142114 | + | 0.323734i | ||||
\(25\) | 2.02224 | + | 2.24593i | 0.404449 | + | 0.449186i | ||||
\(26\) | 3.67012 | + | 3.30459i | 0.719771 | + | 0.648084i | ||||
\(27\) | 2.98796 | + | 4.25113i | 0.575034 | + | 0.818130i | ||||
\(28\) | −2.29095 | − | 1.32347i | −0.432948 | − | 0.250112i | ||||
\(29\) | −0.161674 | − | 0.497582i | −0.0300221 | − | 0.0923986i | 0.934923 | − | 0.354851i | \(-0.115469\pi\) |
−0.964945 | + | 0.262453i | \(0.915469\pi\) | |||||||
\(30\) | −2.38524 | + | 0.493989i | −0.435484 | + | 0.0901897i | ||||
\(31\) | 0.793258 | − | 0.353181i | 0.142473 | − | 0.0634332i | −0.334261 | − | 0.942480i | \(-0.608487\pi\) |
0.476735 | + | 0.879047i | \(0.341820\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −5.60000 | − | 1.28061i | −0.974835 | − | 0.222926i | ||||
\(34\) | −3.19158 | −0.547351 | ||||||||
\(35\) | 2.49044 | − | 2.76448i | 0.420961 | − | 0.467282i | ||||
\(36\) | −0.956812 | + | 2.84333i | −0.159469 | + | 0.473888i | ||||
\(37\) | −3.96808 | + | 4.40700i | −0.652348 | + | 0.724506i | −0.975048 | − | 0.221995i | \(-0.928743\pi\) |
0.322699 | + | 0.946501i | \(0.395410\pi\) | |||||||
\(38\) | −1.06121 | + | 0.111537i | −0.172151 | + | 0.0180938i | ||||
\(39\) | 0.849678 | + | 8.51167i | 0.136057 | + | 1.36296i | ||||
\(40\) | −1.04512 | − | 0.941028i | −0.165248 | − | 0.148790i | ||||
\(41\) | 3.44048 | − | 10.5887i | 0.537313 | − | 1.65368i | −0.201286 | − | 0.979533i | \(-0.564512\pi\) |
0.738599 | − | 0.674146i | \(-0.235488\pi\) | |||||||
\(42\) | −1.39218 | − | 4.36599i | −0.214818 | − | 0.673686i | ||||
\(43\) | 6.81857i | 1.03982i | 0.854220 | + | 0.519911i | \(0.174035\pi\) | ||||
−0.854220 | + | 0.519911i | \(0.825965\pi\) | |||||||
\(44\) | −1.31817 | − | 3.04342i | −0.198721 | − | 0.458814i | ||||
\(45\) | −3.63155 | − | 2.14758i | −0.541360 | − | 0.320142i | ||||
\(46\) | −1.13567 | − | 2.55075i | −0.167445 | − | 0.376087i | ||||
\(47\) | 1.42258 | + | 6.69270i | 0.207504 | + | 0.976231i | 0.951405 | + | 0.307941i | \(0.0996400\pi\) |
−0.743901 | + | 0.668290i | \(0.767027\pi\) | |||||||
\(48\) | −1.65005 | + | 0.526620i | −0.238164 | + | 0.0760110i | ||||
\(49\) | 5.66099 | + | 4.11742i | 0.808714 | + | 0.588203i | ||||
\(50\) | −2.44501 | + | 1.77640i | −0.345776 | + | 0.251221i | ||||
\(51\) | −4.08870 | − | 3.72035i | −0.572533 | − | 0.520953i | ||||
\(52\) | −3.67012 | + | 3.30459i | −0.508955 | + | 0.458265i | ||||
\(53\) | −0.170681 | − | 0.383356i | −0.0234449 | − | 0.0526580i | 0.901444 | − | 0.432897i | \(-0.142509\pi\) |
−0.924888 | + | 0.380239i | \(0.875842\pi\) | |||||||
\(54\) | −4.54017 | + | 2.52723i | −0.617838 | + | 0.343913i | ||||
\(55\) | 4.57200 | − | 0.923404i | 0.616488 | − | 0.124512i | ||||
\(56\) | 1.55569 | − | 2.14006i | 0.207887 | − | 0.285977i | ||||
\(57\) | −1.48952 | − | 1.09414i | −0.197292 | − | 0.144922i | ||||
\(58\) | 0.511755 | − | 0.108777i | 0.0671968 | − | 0.0142831i | ||||
\(59\) | 2.03583 | − | 9.57781i | 0.265042 | − | 1.24692i | −0.621182 | − | 0.783667i | \(-0.713347\pi\) |
0.886224 | − | 0.463258i | \(-0.153320\pi\) | |||||||
\(60\) | −0.241957 | − | 2.42381i | −0.0312366 | − | 0.312913i | ||||
\(61\) | −3.13938 | + | 7.05115i | −0.401956 | + | 0.902808i | 0.593251 | + | 0.805017i | \(0.297844\pi\) |
−0.995207 | + | 0.0977902i | \(0.968823\pi\) | |||||||
\(62\) | 0.268328 | + | 0.825830i | 0.0340777 | + | 0.104881i | ||||
\(63\) | 3.30582 | − | 7.21606i | 0.416494 | − | 0.909138i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −3.47271 | − | 6.01492i | −0.430737 | − | 0.746059i | ||||
\(66\) | 1.85896 | − | 5.43547i | 0.228822 | − | 0.669060i | ||||
\(67\) | 3.24562 | − | 5.62158i | 0.396516 | − | 0.686786i | −0.596777 | − | 0.802407i | \(-0.703552\pi\) |
0.993293 | + | 0.115621i | \(0.0368858\pi\) | |||||||
\(68\) | 0.333610 | − | 3.17409i | 0.0404562 | − | 0.384915i | ||||
\(69\) | 1.51845 | − | 4.59156i | 0.182800 | − | 0.552759i | ||||
\(70\) | 2.48901 | + | 2.76576i | 0.297494 | + | 0.330572i | ||||
\(71\) | 1.01035 | + | 1.39063i | 0.119907 | + | 0.165038i | 0.864751 | − | 0.502201i | \(-0.167476\pi\) |
−0.744844 | + | 0.667239i | \(0.767476\pi\) | |||||||
\(72\) | −2.72774 | − | 1.24878i | −0.321467 | − | 0.147170i | ||||
\(73\) | 0.649602 | − | 3.05614i | 0.0760301 | − | 0.357694i | −0.923643 | − | 0.383254i | \(-0.874804\pi\) |
0.999673 | + | 0.0255600i | \(0.00813688\pi\) | |||||||
\(74\) | −3.96808 | − | 4.40700i | −0.461280 | − | 0.512303i | ||||
\(75\) | −5.20299 | − | 0.574354i | −0.600789 | − | 0.0663207i | ||||
\(76\) | − | 1.06705i | − | 0.122399i | ||||||
\(77\) | 2.62460 | + | 8.37326i | 0.299101 | + | 0.954221i | ||||
\(78\) | −8.55386 | − | 0.0446884i | −0.968534 | − | 0.00505997i | ||||
\(79\) | 7.75852 | + | 0.815454i | 0.872902 | + | 0.0917457i | 0.530376 | − | 0.847763i | \(-0.322051\pi\) |
0.342526 | + | 0.939508i | \(0.388717\pi\) | |||||||
\(80\) | 1.04512 | − | 0.941028i | 0.116848 | − | 0.105210i | ||||
\(81\) | −8.76231 | − | 2.05475i | −0.973590 | − | 0.228305i | ||||
\(82\) | 10.1711 | + | 4.52845i | 1.12321 | + | 0.500084i | ||||
\(83\) | 9.70225 | − | 7.04910i | 1.06496 | − | 0.773739i | 0.0899605 | − | 0.995945i | \(-0.471326\pi\) |
0.975000 | + | 0.222207i | \(0.0713259\pi\) | |||||||
\(84\) | 4.48759 | − | 0.928182i | 0.489636 | − | 0.101273i | ||||
\(85\) | 4.26878 | + | 1.38701i | 0.463014 | + | 0.150442i | ||||
\(86\) | −6.78121 | − | 0.712734i | −0.731237 | − | 0.0768561i | ||||
\(87\) | 0.782405 | + | 0.457188i | 0.0838826 | + | 0.0490157i | ||||
\(88\) | 3.16454 | − | 0.992822i | 0.337341 | − | 0.105835i | ||||
\(89\) | −1.89178 | + | 1.09222i | −0.200529 | + | 0.115775i | −0.596902 | − | 0.802314i | \(-0.703602\pi\) |
0.396373 | + | 0.918089i | \(0.370269\pi\) | |||||||
\(90\) | 2.51541 | − | 3.38717i | 0.265148 | − | 0.357039i | ||||
\(91\) | 10.5729 | − | 7.67752i | 1.10834 | − | 0.804822i | ||||
\(92\) | 2.65548 | − | 0.862818i | 0.276853 | − | 0.0899550i | ||||
\(93\) | −0.618897 | + | 1.37075i | −0.0641767 | + | 0.142140i | ||||
\(94\) | −6.80474 | + | 0.715207i | −0.701855 | + | 0.0737679i | ||||
\(95\) | 1.46785 | + | 0.312002i | 0.150598 | + | 0.0320107i | ||||
\(96\) | −0.351258 | − | 1.69606i | −0.0358501 | − | 0.173103i | ||||
\(97\) | −3.42729 | − | 2.49007i | −0.347988 | − | 0.252828i | 0.400036 | − | 0.916499i | \(-0.368998\pi\) |
−0.748025 | + | 0.663671i | \(0.768998\pi\) | |||||||
\(98\) | −4.68660 | + | 5.19960i | −0.473418 | + | 0.525238i | ||||
\(99\) | 8.71749 | − | 4.79639i | 0.876141 | − | 0.482055i | ||||
\(100\) | −1.51110 | − | 2.61730i | −0.151110 | − | 0.261730i | ||||
\(101\) | 1.20263 | − | 0.535443i | 0.119666 | − | 0.0532786i | −0.346030 | − | 0.938223i | \(-0.612471\pi\) |
0.465696 | + | 0.884945i | \(0.345804\pi\) | |||||||
\(102\) | 4.12735 | − | 3.67742i | 0.408669 | − | 0.364119i | ||||
\(103\) | 9.54362 | − | 10.5993i | 0.940361 | − | 1.04438i | −0.0585759 | − | 0.998283i | \(-0.518656\pi\) |
0.998937 | − | 0.0460940i | \(-0.0146774\pi\) | |||||||
\(104\) | −2.90286 | − | 3.99544i | −0.284649 | − | 0.391785i | ||||
\(105\) | −0.0353320 | + | 6.44458i | −0.00344805 | + | 0.628927i | ||||
\(106\) | 0.399097 | − | 0.129675i | 0.0387637 | − | 0.0125951i | ||||
\(107\) | −12.3254 | + | 2.61985i | −1.19154 | + | 0.253270i | −0.760668 | − | 0.649141i | \(-0.775128\pi\) |
−0.430875 | + | 0.902412i | \(0.641795\pi\) | |||||||
\(108\) | −2.03881 | − | 4.77946i | −0.196185 | − | 0.459904i | ||||
\(109\) | −8.70388 | − | 5.02518i | −0.833680 | − | 0.481325i | 0.0214310 | − | 0.999770i | \(-0.493178\pi\) |
−0.855111 | + | 0.518445i | \(0.826511\pi\) | |||||||
\(110\) | 0.440442 | + | 4.64348i | 0.0419945 | + | 0.442738i | ||||
\(111\) | 0.0536608 | − | 10.2713i | 0.00509326 | − | 0.974906i | ||||
\(112\) | 1.96572 | + | 1.77086i | 0.185743 | + | 0.167331i | ||||
\(113\) | −4.42399 | − | 1.43744i | −0.416174 | − | 0.135223i | 0.0934425 | − | 0.995625i | \(-0.470213\pi\) |
−0.509617 | + | 0.860401i | \(0.670213\pi\) | |||||||
\(114\) | 1.24384 | − | 1.36699i | 0.116496 | − | 0.128031i | ||||
\(115\) | 0.410453 | + | 3.90520i | 0.0382749 | + | 0.364162i | ||||
\(116\) | 0.0546881 | + | 0.520322i | 0.00507766 | + | 0.0483107i | ||||
\(117\) | −10.9062 | − | 10.0283i | −1.00828 | − | 0.927115i | ||||
\(118\) | 9.31254 | + | 3.02583i | 0.857288 | + | 0.278550i | ||||
\(119\) | −1.75776 | + | 8.25914i | −0.161134 | + | 0.757114i | ||||
\(120\) | 2.43583 | + | 0.0127256i | 0.222360 | + | 0.00116169i | ||||
\(121\) | −3.61086 | + | 10.3905i | −0.328260 | + | 0.944587i | ||||
\(122\) | −6.68437 | − | 3.85922i | −0.605175 | − | 0.349398i | ||||
\(123\) | 7.75137 | + | 17.6576i | 0.698917 | + | 1.59213i | ||||
\(124\) | −0.849354 | + | 0.180536i | −0.0762742 | + | 0.0162126i | ||||
\(125\) | 10.7298 | − | 3.48632i | 0.959702 | − | 0.311826i | ||||
\(126\) | 6.83098 | + | 4.04199i | 0.608552 | + | 0.360089i | ||||
\(127\) | 10.6281 | + | 14.6284i | 0.943095 | + | 1.29806i | 0.954527 | + | 0.298125i | \(0.0963611\pi\) |
−0.0114318 | + | 0.999935i | \(0.503639\pi\) | |||||||
\(128\) | 0.669131 | − | 0.743145i | 0.0591433 | − | 0.0656853i | ||||
\(129\) | −7.85654 | − | 8.81778i | −0.691730 | − | 0.776363i | ||||
\(130\) | 6.34497 | − | 2.82496i | 0.556490 | − | 0.247765i | ||||
\(131\) | −10.0367 | − | 17.3840i | −0.876908 | − | 1.51885i | −0.854717 | − | 0.519095i | \(-0.826269\pi\) |
−0.0221908 | − | 0.999754i | \(-0.507064\pi\) | |||||||
\(132\) | 5.21138 | + | 2.41693i | 0.453592 | + | 0.210367i | ||||
\(133\) | −0.295825 | + | 2.80762i | −0.0256513 | + | 0.243451i | ||||
\(134\) | 5.25153 | + | 3.81546i | 0.453663 | + | 0.329605i | ||||
\(135\) | 7.17083 | − | 1.40712i | 0.617167 | − | 0.121106i | ||||
\(136\) | 3.12183 | + | 0.663566i | 0.267695 | + | 0.0569003i | ||||
\(137\) | 4.89003 | − | 0.513963i | 0.417784 | − | 0.0439108i | 0.106695 | − | 0.994292i | \(-0.465973\pi\) |
0.311088 | + | 0.950381i | \(0.399306\pi\) | |||||||
\(138\) | 4.40768 | + | 1.99008i | 0.375207 | + | 0.169407i | ||||
\(139\) | −21.6082 | + | 7.02093i | −1.83278 | + | 0.595508i | −0.833724 | + | 0.552182i | \(0.813795\pi\) |
−0.999061 | + | 0.0433258i | \(0.986205\pi\) | |||||||
\(140\) | −3.01079 | + | 2.18628i | −0.254458 | + | 0.184774i | ||||
\(141\) | −9.55120 | − | 7.01588i | −0.804356 | − | 0.590844i | ||||
\(142\) | −1.48863 | + | 0.859459i | −0.124923 | + | 0.0721242i | ||||
\(143\) | 16.3788 | + | 0.166266i | 1.36966 | + | 0.0139038i | ||||
\(144\) | 1.52706 | − | 2.58226i | 0.127255 | − | 0.215188i | ||||
\(145\) | −0.731752 | − | 0.0769103i | −0.0607687 | − | 0.00638705i | ||||
\(146\) | 2.97149 | + | 0.965496i | 0.245922 | + | 0.0799050i | ||||
\(147\) | −12.0650 | + | 1.19810i | −0.995106 | + | 0.0988178i | ||||
\(148\) | 4.79763 | − | 3.48569i | 0.394363 | − | 0.286522i | ||||
\(149\) | −17.7071 | − | 7.88371i | −1.45062 | − | 0.645859i | −0.478023 | − | 0.878347i | \(-0.658647\pi\) |
−0.972599 | + | 0.232488i | \(0.925313\pi\) | |||||||
\(150\) | 1.11507 | − | 5.11445i | 0.0910449 | − | 0.417593i | ||||
\(151\) | −15.0418 | + | 13.5437i | −1.22408 | + | 1.10217i | −0.232513 | + | 0.972593i | \(0.574695\pi\) |
−0.991570 | + | 0.129576i | \(0.958639\pi\) | |||||||
\(152\) | 1.06121 | + | 0.111537i | 0.0860753 | + | 0.00904688i | ||||
\(153\) | 9.57420 | + | 0.100041i | 0.774029 | + | 0.00808782i | ||||
\(154\) | −8.60174 | + | 1.73498i | −0.693148 | + | 0.139808i | ||||
\(155\) | − | 1.22117i | − | 0.0980867i | ||||||
\(156\) | 0.938565 | − | 8.50233i | 0.0751454 | − | 0.680731i | ||||
\(157\) | −9.71926 | − | 10.7943i | −0.775682 | − | 0.861482i | 0.217739 | − | 0.976007i | \(-0.430132\pi\) |
−0.993420 | + | 0.114525i | \(0.963465\pi\) | |||||||
\(158\) | −1.62197 | + | 7.63078i | −0.129037 | + | 0.607073i | ||||
\(159\) | 0.662439 | + | 0.299093i | 0.0525348 | + | 0.0237196i | ||||
\(160\) | 0.826629 | + | 1.13776i | 0.0653507 | + | 0.0899476i | ||||
\(161\) | −7.22627 | + | 1.53404i | −0.569510 | + | 0.120899i | ||||
\(162\) | 2.95940 | − | 8.49953i | 0.232513 | − | 0.667786i | ||||
\(163\) | 2.48171 | − | 23.6119i | 0.194382 | − | 1.84942i | −0.268845 | − | 0.963184i | \(-0.586642\pi\) |
0.463227 | − | 0.886240i | \(-0.346692\pi\) | |||||||
\(164\) | −5.56681 | + | 9.64200i | −0.434695 | + | 0.752914i | ||||
\(165\) | −4.84855 | + | 6.46213i | −0.377459 | + | 0.503076i | ||||
\(166\) | 5.99632 | + | 10.3859i | 0.465405 | + | 0.806104i | ||||
\(167\) | −1.27598 | − | 0.927052i | −0.0987381 | − | 0.0717374i | 0.537321 | − | 0.843378i | \(-0.319436\pi\) |
−0.636059 | + | 0.771641i | \(0.719436\pi\) | |||||||
\(168\) | 0.454017 | + | 4.56003i | 0.0350282 | + | 0.351814i | ||||
\(169\) | −3.51975 | − | 10.8327i | −0.270750 | − | 0.833283i | ||||
\(170\) | −1.82562 | + | 4.10041i | −0.140019 | + | 0.314487i | ||||
\(171\) | 3.18695 | − | 0.301330i | 0.243712 | − | 0.0230433i | ||||
\(172\) | 1.41766 | − | 6.66957i | 0.108096 | − | 0.508550i | ||||
\(173\) | 17.6821 | − | 3.75844i | 1.34434 | − | 0.285749i | 0.521127 | − | 0.853479i | \(-0.325512\pi\) |
0.823215 | + | 0.567730i | \(0.192178\pi\) | |||||||
\(174\) | −0.536467 | + | 0.730329i | −0.0406695 | + | 0.0553661i | ||||
\(175\) | 3.25037 | + | 7.30553i | 0.245705 | + | 0.552246i | ||||
\(176\) | 0.656599 | + | 3.25098i | 0.0494930 | + | 0.245052i | ||||
\(177\) | 8.40308 | + | 14.7318i | 0.631614 | + | 1.10731i | ||||
\(178\) | −0.888493 | − | 1.99559i | −0.0665953 | − | 0.149576i | ||||
\(179\) | −14.1463 | + | 12.7374i | −1.05734 | + | 0.952035i | −0.998930 | − | 0.0462577i | \(-0.985270\pi\) |
−0.0584123 | + | 0.998293i | \(0.518604\pi\) | |||||||
\(180\) | 3.10569 | + | 2.85569i | 0.231484 | + | 0.212851i | ||||
\(181\) | −16.3703 | + | 11.8937i | −1.21679 | + | 0.884051i | −0.995830 | − | 0.0912314i | \(-0.970920\pi\) |
−0.220962 | + | 0.975282i | \(0.570920\pi\) | |||||||
\(182\) | 6.53029 | + | 11.3175i | 0.484057 | + | 0.838911i | ||||
\(183\) | −4.06469 | − | 12.7358i | −0.300470 | − | 0.941460i | ||||
\(184\) | 0.580518 | + | 2.73112i | 0.0427964 | + | 0.201341i | ||||
\(185\) | 3.39215 | + | 7.61889i | 0.249396 | + | 0.560152i | ||||
\(186\) | −1.29855 | − | 0.758789i | −0.0952141 | − | 0.0556371i | ||||
\(187\) | −7.93787 | + | 7.00271i | −0.580475 | + | 0.512089i | ||||
\(188\) | − | 6.84222i | − | 0.499020i | ||||||
\(189\) | 4.03946 | + | 13.1409i | 0.293827 | + | 0.955859i | ||||
\(190\) | −0.463725 | + | 1.42720i | −0.0336421 | + | 0.103540i | ||||
\(191\) | −3.03287 | − | 2.73081i | −0.219451 | − | 0.197594i | 0.552071 | − | 0.833797i | \(-0.313838\pi\) |
−0.771522 | + | 0.636203i | \(0.780504\pi\) | |||||||
\(192\) | 1.72348 | − | 0.172047i | 0.124382 | − | 0.0124164i | ||||
\(193\) | 0.848255 | − | 0.0891552i | 0.0610587 | − | 0.00641753i | −0.0739498 | − | 0.997262i | \(-0.523560\pi\) |
0.135009 | + | 0.990844i | \(0.456894\pi\) | |||||||
\(194\) | 2.83468 | − | 3.14823i | 0.203518 | − | 0.226030i | ||||
\(195\) | 11.4215 | + | 3.77714i | 0.817909 | + | 0.270487i | ||||
\(196\) | −4.68123 | − | 5.20443i | −0.334373 | − | 0.371745i | ||||
\(197\) | 0.565770 | 0.0403095 | 0.0201547 | − | 0.999797i | \(-0.493584\pi\) | ||||
0.0201547 | + | 0.999797i | \(0.493584\pi\) | |||||||
\(198\) | 3.85889 | + | 9.17109i | 0.274239 | + | 0.651761i | ||||
\(199\) | 4.87809 | − | 8.44910i | 0.345799 | − | 0.598941i | −0.639700 | − | 0.768625i | \(-0.720941\pi\) |
0.985499 | + | 0.169684i | \(0.0542747\pi\) | |||||||
\(200\) | 2.76091 | − | 1.22924i | 0.195226 | − | 0.0869202i | ||||
\(201\) | 2.28010 | + | 11.0095i | 0.160826 | + | 0.776553i | ||||
\(202\) | 0.406801 | + | 1.25201i | 0.0286225 | + | 0.0880908i | ||||
\(203\) | 0.000357225 | − | 1.38423i | 2.50723e−5 | − | 0.0971536i | ||||
\(204\) | 3.22585 | + | 4.48914i | 0.225855 | + | 0.314302i | ||||
\(205\) | −11.6359 | − | 10.4771i | −0.812690 | − | 0.731749i | ||||
\(206\) | 9.54362 | + | 10.5993i | 0.664936 | + | 0.738486i | ||||
\(207\) | 3.32686 | + | 7.68742i | 0.231232 | + | 0.534312i | ||||
\(208\) | 4.27699 | − | 2.46932i | 0.296556 | − | 0.171217i | ||||
\(209\) | −2.39464 | + | 2.60583i | −0.165641 | + | 0.180249i | ||||
\(210\) | −6.40559 | − | 0.708781i | −0.442028 | − | 0.0489105i | ||||
\(211\) | 9.36900 | − | 12.8953i | 0.644989 | − | 0.887751i | −0.353881 | − | 0.935291i | \(-0.615138\pi\) |
0.998869 | + | 0.0475400i | \(0.0151382\pi\) | |||||||
\(212\) | 0.0872471 | + | 0.410466i | 0.00599216 | + | 0.0281909i | ||||
\(213\) | −2.90892 | − | 0.634211i | −0.199316 | − | 0.0434554i | ||||
\(214\) | −1.31714 | − | 12.5317i | −0.0900378 | − | 0.856653i | ||||
\(215\) | 8.76022 | + | 3.90030i | 0.597442 | + | 0.265998i | ||||
\(216\) | 4.96639 | − | 1.52805i | 0.337920 | − | 0.103971i | ||||
\(217\) | 2.28486 | − | 0.239552i | 0.155106 | − | 0.0162619i | ||||
\(218\) | 5.90746 | − | 8.13092i | 0.400104 | − | 0.550695i | ||||
\(219\) | 2.68130 | + | 4.70069i | 0.181185 | + | 0.317643i | ||||
\(220\) | −4.66408 | − | 0.0473464i | −0.314452 | − | 0.00319209i | ||||
\(221\) | 13.6503 | + | 7.88102i | 0.918220 | + | 0.530135i | ||||
\(222\) | 10.2094 | + | 1.12701i | 0.685210 | + | 0.0756398i | ||||
\(223\) | −3.77374 | + | 11.6144i | −0.252709 | + | 0.777757i | 0.741564 | + | 0.670882i | \(0.234084\pi\) |
−0.994272 | + | 0.106875i | \(0.965916\pi\) | |||||||
\(224\) | −1.96663 | + | 1.76985i | −0.131401 | + | 0.118253i | ||||
\(225\) | 7.39030 | − | 5.25227i | 0.492687 | − | 0.350152i | ||||
\(226\) | 1.89200 | − | 4.24951i | 0.125854 | − | 0.282673i | ||||
\(227\) | −13.9907 | − | 2.97381i | −0.928595 | − | 0.197379i | −0.281301 | − | 0.959620i | \(-0.590766\pi\) |
−0.647294 | + | 0.762241i | \(0.724099\pi\) | |||||||
\(228\) | 1.22949 | + | 1.37992i | 0.0814249 | + | 0.0913871i | ||||
\(229\) | 1.99267 | − | 18.9590i | 0.131680 | − | 1.25285i | −0.706602 | − | 0.707611i | \(-0.749773\pi\) |
0.838282 | − | 0.545237i | \(-0.183560\pi\) | |||||||
\(230\) | −3.92671 | −0.258920 | ||||||||
\(231\) | −13.0420 | − | 7.80418i | −0.858103 | − | 0.513477i | ||||
\(232\) | −0.523188 | −0.0343490 | ||||||||
\(233\) | 0.721428 | − | 6.86393i | 0.0472623 | − | 0.449671i | −0.945143 | − | 0.326658i | \(-0.894078\pi\) |
0.992405 | − | 0.123013i | \(-0.0392558\pi\) | |||||||
\(234\) | 11.1134 | − | 9.79820i | 0.726503 | − | 0.640529i | ||||
\(235\) | 9.41224 | + | 2.00063i | 0.613987 | + | 0.130507i | ||||
\(236\) | −3.98268 | + | 8.94524i | −0.259250 | + | 0.582285i | ||||
\(237\) | −10.9729 | + | 7.88504i | −0.712768 | + | 0.512189i | ||||
\(238\) | −8.03016 | − | 2.61145i | −0.520518 | − | 0.169275i | ||||
\(239\) | −8.84622 | + | 27.2259i | −0.572214 | + | 1.76109i | 0.0732605 | + | 0.997313i | \(0.476660\pi\) |
−0.645475 | + | 0.763782i | \(0.723340\pi\) | |||||||
\(240\) | −0.267269 | + | 2.42115i | −0.0172522 | + | 0.156285i | ||||
\(241\) | −15.7349 | − | 9.08453i | −1.01357 | − | 0.585186i | −0.101336 | − | 0.994852i | \(-0.532312\pi\) |
−0.912235 | + | 0.409666i | \(0.865645\pi\) | |||||||
\(242\) | −9.95610 | − | 4.67718i | −0.640003 | − | 0.300661i | ||||
\(243\) | 13.6990 | − | 7.43897i | 0.878789 | − | 0.477210i | ||||
\(244\) | 4.53679 | − | 6.24436i | 0.290438 | − | 0.399754i | ||||
\(245\) | 8.52805 | − | 4.91781i | 0.544837 | − | 0.314187i | ||||
\(246\) | −18.3711 | + | 5.86319i | −1.17130 | + | 0.373823i | ||||
\(247\) | 4.81419 | + | 2.14342i | 0.306320 | + | 0.136382i | ||||
\(248\) | −0.0907651 | − | 0.863572i | −0.00576359 | − | 0.0548369i | ||||
\(249\) | −4.42480 | + | 20.2951i | −0.280410 | + | 1.28615i | ||||
\(250\) | 2.34565 | + | 11.0354i | 0.148352 | + | 0.697942i | ||||
\(251\) | 7.31864 | − | 10.0732i | 0.461948 | − | 0.635817i | −0.512963 | − | 0.858411i | \(-0.671452\pi\) |
0.974911 | + | 0.222593i | \(0.0714522\pi\) | |||||||
\(252\) | −4.73388 | + | 6.37106i | −0.298207 | + | 0.401339i | ||||
\(253\) | −8.42120 | − | 3.85226i | −0.529436 | − | 0.242189i | ||||
\(254\) | −15.6592 | + | 9.04084i | −0.982545 | + | 0.567273i | ||||
\(255\) | −7.11854 | + | 3.12492i | −0.445780 | + | 0.195690i | ||||
\(256\) | 0.669131 | + | 0.743145i | 0.0418207 | + | 0.0464466i | ||||
\(257\) | 10.3600 | + | 9.32820i | 0.646240 | + | 0.581877i | 0.925690 | − | 0.378283i | \(-0.123485\pi\) |
−0.279450 | + | 0.960160i | \(0.590152\pi\) | |||||||
\(258\) | 9.59071 | − | 6.89180i | 0.597092 | − | 0.429064i | ||||
\(259\) | −13.5898 | + | 7.84141i | −0.844431 | + | 0.487242i | ||||
\(260\) | 2.14626 | + | 6.60550i | 0.133105 | + | 0.409655i | ||||
\(261\) | −1.53859 | + | 0.310272i | −0.0952365 | + | 0.0192054i | ||||
\(262\) | 18.3379 | − | 8.16456i | 1.13292 | − | 0.504408i | ||||
\(263\) | −9.23084 | + | 15.9883i | −0.569198 | + | 0.985879i | 0.427448 | + | 0.904040i | \(0.359413\pi\) |
−0.996646 | + | 0.0818394i | \(0.973921\pi\) | |||||||
\(264\) | −2.94843 | + | 4.93019i | −0.181463 | + | 0.303432i | ||||
\(265\) | −0.590152 | −0.0362528 | ||||||||
\(266\) | −2.76131 | − | 0.587680i | −0.169307 | − | 0.0360330i | ||||
\(267\) | 1.18797 | − | 3.59223i | 0.0727025 | − | 0.219841i | ||||
\(268\) | −4.34349 | + | 4.82394i | −0.265321 | + | 0.294669i | ||||
\(269\) | −7.68213 | + | 0.807425i | −0.468388 | + | 0.0492295i | −0.335783 | − | 0.941939i | \(-0.609001\pi\) |
−0.132605 | + | 0.991169i | \(0.542334\pi\) | |||||||
\(270\) | 0.649857 | + | 7.27863i | 0.0395491 | + | 0.442963i | ||||
\(271\) | −13.9851 | − | 12.5923i | −0.849537 | − | 0.764926i | 0.124283 | − | 0.992247i | \(-0.460337\pi\) |
−0.973820 | + | 0.227321i | \(0.927003\pi\) | |||||||
\(272\) | −0.986251 | + | 3.03537i | −0.0598003 | + | 0.184046i | ||||
\(273\) | −4.82669 | + | 22.1110i | −0.292124 | + | 1.33822i | ||||
\(274\) | 4.91697i | 0.297045i | ||||||||
\(275\) | −2.18341 | + | 9.78279i | −0.131665 | + | 0.589924i | ||||
\(276\) | −2.43991 | + | 4.17552i | −0.146865 | + | 0.251337i | ||||
\(277\) | 1.51394 | + | 3.40038i | 0.0909641 | + | 0.204309i | 0.953298 | − | 0.302031i | \(-0.0976647\pi\) |
−0.862334 | + | 0.506340i | \(0.830998\pi\) | |||||||
\(278\) | −4.72380 | − | 22.2237i | −0.283315 | − | 1.33289i | ||||
\(279\) | −0.779055 | − | 2.48577i | −0.0466408 | − | 0.148819i | ||||
\(280\) | −1.85959 | − | 3.22282i | −0.111132 | − | 0.192600i | ||||
\(281\) | 11.5940 | − | 8.42355i | 0.691642 | − | 0.502507i | −0.185558 | − | 0.982633i | \(-0.559409\pi\) |
0.877199 | + | 0.480126i | \(0.159409\pi\) | |||||||
\(282\) | 7.97582 | − | 8.76551i | 0.474953 | − | 0.521979i | ||||
\(283\) | −6.24565 | + | 5.62361i | −0.371266 | + | 0.334289i | −0.833551 | − | 0.552442i | \(-0.813696\pi\) |
0.462286 | + | 0.886731i | \(0.347029\pi\) | |||||||
\(284\) | −0.699147 | − | 1.57031i | −0.0414867 | − | 0.0931807i | ||||
\(285\) | −2.25773 | + | 1.28782i | −0.133736 | + | 0.0762838i | ||||
\(286\) | −1.87740 | + | 16.2717i | −0.111013 | + | 0.962164i | ||||
\(287\) | 17.3204 | − | 23.8266i | 1.02239 | − | 1.40644i | ||||
\(288\) | 2.40849 | + | 1.78862i | 0.141922 | + | 0.105395i | ||||
\(289\) | 6.66495 | − | 1.41668i | 0.392056 | − | 0.0833340i | ||||
\(290\) | 0.152978 | − | 0.719705i | 0.00898317 | − | 0.0422625i | ||||
\(291\) | 7.30130 | − | 0.728853i | 0.428010 | − | 0.0427261i | ||||
\(292\) | −1.27081 | + | 2.85429i | −0.0743687 | + | 0.167035i | ||||
\(293\) | 0.953809 | + | 2.93552i | 0.0557221 | + | 0.171495i | 0.975044 | − | 0.222011i | \(-0.0712621\pi\) |
−0.919322 | + | 0.393506i | \(0.871262\pi\) | |||||||
\(294\) | 0.0695988 | − | 12.1242i | 0.00405909 | − | 0.707095i | ||||
\(295\) | −11.1407 | − | 8.09417i | −0.648635 | − | 0.471261i | ||||
\(296\) | 2.96510 | + | 5.13571i | 0.172343 | + | 0.298507i | ||||
\(297\) | −5.74694 | + | 16.2472i | −0.333471 | + | 0.942760i | ||||
\(298\) | 9.69142 | − | 16.7860i | 0.561409 | − | 0.972389i | ||||
\(299\) | −1.44138 | + | 13.7138i | −0.0833572 | + | 0.793091i | ||||
\(300\) | 4.96988 | + | 1.64357i | 0.286936 | + | 0.0948913i | ||||
\(301\) | −5.57917 | + | 17.1558i | −0.321578 | + | 0.988846i | ||||
\(302\) | −11.8972 | − | 16.3751i | −0.684606 | − | 0.942280i | ||||
\(303\) | −0.938284 | + | 2.07813i | −0.0539030 | + | 0.119386i | ||||
\(304\) | −0.221853 | + | 1.04374i | −0.0127241 | + | 0.0598624i | ||||
\(305\) | 7.26328 | + | 8.06669i | 0.415894 | + | 0.461897i | ||||
\(306\) | −1.10027 | + | 9.51130i | −0.0628982 | + | 0.543725i | ||||
\(307\) | 18.2478i | 1.04146i | 0.853722 | + | 0.520729i | \(0.174340\pi\) | ||||
−0.853722 | + | 0.520729i | \(0.825660\pi\) | |||||||
\(308\) | −0.826347 | − | 8.73597i | −0.0470855 | − | 0.497778i | ||||
\(309\) | −0.129060 | + | 24.7034i | −0.00734194 | + | 1.40533i | ||||
\(310\) | 1.21448 | + | 0.127647i | 0.0689778 | + | 0.00724986i | ||||
\(311\) | 8.89906 | − | 8.01275i | 0.504619 | − | 0.454361i | −0.377075 | − | 0.926183i | \(-0.623070\pi\) |
0.881694 | + | 0.471822i | \(0.156403\pi\) | |||||||
\(312\) | 8.35764 | + | 1.82216i | 0.473158 | + | 0.103159i | ||||
\(313\) | 26.2214 | + | 11.6745i | 1.48212 | + | 0.659882i | 0.978912 | − | 0.204283i | \(-0.0654862\pi\) |
0.503208 | + | 0.864165i | \(0.332153\pi\) | |||||||
\(314\) | 11.7511 | − | 8.53770i | 0.663155 | − | 0.481811i | ||||
\(315\) | −7.37994 | − | 8.37486i | −0.415812 | − | 0.471870i | ||||
\(316\) | −7.41944 | − | 2.41072i | −0.417376 | − | 0.135614i | ||||
\(317\) | 12.2543 | + | 1.28798i | 0.688271 | + | 0.0723402i | 0.442206 | − | 0.896913i | \(-0.354196\pi\) |
0.246064 | + | 0.969253i | \(0.420863\pi\) | |||||||
\(318\) | −0.366699 | + | 0.627546i | −0.0205634 | + | 0.0351910i | ||||
\(319\) | 1.03413 | − | 1.39340i | 0.0579004 | − | 0.0780152i | ||||
\(320\) | −1.21793 | + | 0.703172i | −0.0680844 | + | 0.0393085i | ||||
\(321\) | 12.9206 | − | 17.5897i | 0.721157 | − | 0.981760i | ||||
\(322\) | −0.770288 | − | 7.34704i | −0.0429265 | − | 0.409434i | ||||
\(323\) | −3.23890 | + | 1.05238i | −0.180217 | + | 0.0585561i | ||||
\(324\) | 8.14362 | + | 3.83163i | 0.452423 | + | 0.212869i | ||||
\(325\) | 14.8438 | − | 1.56014i | 0.823384 | − | 0.0865411i | ||||
\(326\) | 23.2231 | + | 4.93622i | 1.28621 | + | 0.273392i | ||||
\(327\) | 17.0460 | − | 3.53027i | 0.942647 | − | 0.195224i | ||||
\(328\) | −9.00729 | − | 6.54418i | −0.497344 | − | 0.361342i | ||||
\(329\) | −1.89691 | + | 18.0032i | −0.104580 | + | 0.992546i | ||||
\(330\) | −5.91992 | − | 5.49746i | −0.325881 | − | 0.302625i | ||||
\(331\) | −7.39402 | − | 12.8068i | −0.406412 | − | 0.703927i | 0.588073 | − | 0.808808i | \(-0.299887\pi\) |
−0.994485 | + | 0.104882i | \(0.966554\pi\) | |||||||
\(332\) | −10.9558 | + | 4.87785i | −0.601279 | + | 0.267707i | ||||
\(333\) | 11.7654 | + | 13.3447i | 0.644743 | + | 0.731283i | ||||
\(334\) | 1.05535 | − | 1.17208i | 0.0577461 | − | 0.0641336i | ||||
\(335\) | −5.36585 | − | 7.38546i | −0.293168 | − | 0.403511i | ||||
\(336\) | −4.58251 | − | 0.0251233i | −0.249996 | − | 0.00137059i | ||||
\(337\) | 4.99286 | − | 1.62228i | 0.271978 | − | 0.0883711i | −0.169853 | − | 0.985469i | \(-0.554329\pi\) |
0.441831 | + | 0.897098i | \(0.354329\pi\) | |||||||
\(338\) | 11.1413 | − | 2.36815i | 0.606004 | − | 0.128810i | ||||
\(339\) | 7.37738 | − | 3.23855i | 0.400684 | − | 0.175894i | ||||
\(340\) | −3.88712 | − | 2.24423i | −0.210809 | − | 0.121710i | ||||
\(341\) | 2.47934 | + | 1.46520i | 0.134264 | + | 0.0793452i | ||||
\(342\) | −0.0334471 | + | 3.20099i | −0.00180861 | + | 0.173089i | ||||
\(343\) | 10.8743 | + | 14.9916i | 0.587159 | + | 0.809472i | ||||
\(344\) | 6.48484 | + | 2.10705i | 0.349639 | + | 0.113605i | ||||
\(345\) | −5.03048 | − | 4.57728i | −0.270832 | − | 0.246432i | ||||
\(346\) | 1.88957 | + | 17.9781i | 0.101584 | + | 0.966506i | ||||
\(347\) | −3.50116 | − | 33.3113i | −0.187952 | − | 1.78825i | −0.529428 | − | 0.848355i | \(-0.677594\pi\) |
0.341476 | − | 0.939890i | \(-0.389073\pi\) | |||||||
\(348\) | −0.670253 | − | 0.609869i | −0.0359293 | − | 0.0326924i | ||||
\(349\) | −21.5358 | − | 6.99740i | −1.15278 | − | 0.374562i | −0.330593 | − | 0.943774i | \(-0.607249\pi\) |
−0.822191 | + | 0.569211i | \(0.807249\pi\) | |||||||
\(350\) | −7.60526 | + | 2.46893i | −0.406518 | + | 0.131970i | ||||
\(351\) | 25.6588 | + | 0.402181i | 1.36956 | + | 0.0214668i | ||||
\(352\) | −3.30181 | + | 0.313182i | −0.175987 | + | 0.0166927i | ||||
\(353\) | −1.02529 | − | 0.591950i | −0.0545706 | − | 0.0315063i | 0.472466 | − | 0.881349i | \(-0.343364\pi\) |
−0.527037 | + | 0.849842i | \(0.676697\pi\) | |||||||
\(354\) | −15.5294 | + | 6.81716i | −0.825380 | + | 0.362328i | ||||
\(355\) | 2.36456 | − | 0.502604i | 0.125498 | − | 0.0266754i | ||||
\(356\) | 2.07753 | − | 0.675030i | 0.110109 | − | 0.0357765i | ||||
\(357\) | −7.24327 | − | 12.7061i | −0.383354 | − | 0.672477i | ||||
\(358\) | −11.1889 | − | 15.4002i | −0.591351 | − | 0.813925i | ||||
\(359\) | −22.3727 | + | 24.8474i | −1.18079 | + | 1.31140i | −0.240646 | + | 0.970613i | \(0.577359\pi\) |
−0.940141 | + | 0.340784i | \(0.889307\pi\) | |||||||
\(360\) | −3.16468 | + | 2.79017i | −0.166793 | + | 0.147055i | ||||
\(361\) | 16.3172 | − | 7.26488i | 0.858800 | − | 0.382362i | ||||
\(362\) | −10.1174 | − | 17.5238i | −0.531758 | − | 0.921031i | ||||
\(363\) | −7.30260 | − | 17.5975i | −0.383287 | − | 0.923629i | ||||
\(364\) | −11.9381 | + | 5.31151i | −0.625728 | + | 0.278399i | ||||
\(365\) | −3.55482 | − | 2.58273i | −0.186068 | − | 0.135186i | ||||
\(366\) | 13.0909 | − | 2.71116i | 0.684275 | − | 0.141715i | ||||
\(367\) | 22.4426 | + | 4.77032i | 1.17149 | + | 0.249009i | 0.752258 | − | 0.658868i | \(-0.228965\pi\) |
0.419236 | + | 0.907877i | \(0.362298\pi\) | |||||||
\(368\) | −2.77684 | + | 0.291858i | −0.144753 | + | 0.0152141i | ||||
\(369\) | −30.3696 | − | 13.9034i | −1.58098 | − | 0.723784i | ||||
\(370\) | −7.93172 | + | 2.57717i | −0.412351 | + | 0.133981i | ||||
\(371\) | −0.115768 | − | 1.10420i | −0.00601037 | − | 0.0573272i | ||||
\(372\) | 0.890368 | − | 1.21212i | 0.0461634 | − | 0.0628454i | ||||
\(373\) | −24.2117 | + | 13.9787i | −1.25364 | + | 0.723787i | −0.971830 | − | 0.235684i | \(-0.924267\pi\) |
−0.281807 | + | 0.959471i | \(0.590934\pi\) | |||||||
\(374\) | −6.13461 | − | 8.62637i | −0.317213 | − | 0.446059i | ||||
\(375\) | −9.85875 | + | 16.8717i | −0.509104 | + | 0.871250i | ||||
\(376\) | 6.80474 | + | 0.715207i | 0.350928 | + | 0.0368840i | ||||
\(377\) | −2.45738 | − | 0.798450i | −0.126561 | − | 0.0411223i | ||||
\(378\) | −13.4911 | + | 2.64373i | −0.693909 | + | 0.135979i | ||||
\(379\) | 30.5843 | − | 22.2208i | 1.57101 | − | 1.14141i | 0.644831 | − | 0.764325i | \(-0.276928\pi\) |
0.926180 | − | 0.377081i | \(-0.123072\pi\) | |||||||
\(380\) | −1.37091 | − | 0.610367i | −0.0703261 | − | 0.0313112i | ||||
\(381\) | −30.5996 | − | 6.67141i | −1.56766 | − | 0.341787i | ||||
\(382\) | 3.03287 | − | 2.73081i | 0.155175 | − | 0.139720i | ||||
\(383\) | −17.2281 | − | 1.81074i | −0.880314 | − | 0.0925247i | −0.346423 | − | 0.938078i | \(-0.612604\pi\) |
−0.533890 | + | 0.845554i | \(0.679271\pi\) | |||||||
\(384\) | −0.00904873 | + | 1.73203i | −0.000461766 | + | 0.0883871i | ||||
\(385\) | 12.2589 | + | 1.41762i | 0.624773 | + | 0.0722488i | ||||
\(386\) | 0.852927i | 0.0434128i | ||||||||
\(387\) | 20.3202 | + | 2.35065i | 1.03293 | + | 0.119490i | ||||
\(388\) | 2.83468 | + | 3.14823i | 0.143909 | + | 0.159827i | ||||
\(389\) | 5.73185 | − | 26.9663i | 0.290617 | − | 1.36724i | −0.554288 | − | 0.832325i | \(-0.687009\pi\) |
0.844904 | − | 0.534918i | \(-0.179657\pi\) | |||||||
\(390\) | −4.95032 | + | 10.9641i | −0.250669 | + | 0.555188i | ||||
\(391\) | −5.23794 | − | 7.20941i | −0.264894 | − | 0.364596i | ||||
\(392\) | 5.66524 | − | 4.11157i | 0.286138 | − | 0.207666i | ||||
\(393\) | 33.0098 | + | 10.9165i | 1.66512 | + | 0.550665i | ||||
\(394\) | −0.0591391 | + | 0.562671i | −0.00297939 | + | 0.0283470i | ||||
\(395\) | 5.48563 | − | 9.50139i | 0.276012 | − | 0.478067i | ||||
\(396\) | −9.52422 | + | 2.87911i | −0.478610 | + | 0.144681i | ||||
\(397\) | −12.5033 | − | 21.6563i | −0.627522 | − | 1.08690i | −0.988047 | − | 0.154150i | \(-0.950736\pi\) |
0.360526 | − | 0.932749i | \(-0.382597\pi\) | |||||||
\(398\) | 7.89292 | + | 5.73454i | 0.395636 | + | 0.287446i | ||||
\(399\) | −2.85245 | − | 3.97167i | −0.142801 | − | 0.198832i | ||||
\(400\) | 0.933909 | + | 2.87428i | 0.0466955 | + | 0.143714i | ||||
\(401\) | 15.9632 | − | 35.8539i | 0.797163 | − | 1.79046i | 0.216564 | − | 0.976268i | \(-0.430515\pi\) |
0.580599 | − | 0.814189i | \(-0.302818\pi\) | |||||||
\(402\) | −11.1876 | + | 1.11680i | −0.557985 | + | 0.0557009i | ||||
\(403\) | 0.891601 | − | 4.19465i | 0.0444138 | − | 0.208951i | ||||
\(404\) | −1.28767 | + | 0.273703i | −0.0640640 | + | 0.0136172i | ||||
\(405\) | −7.65200 | + | 10.0821i | −0.380231 | + | 0.500985i | ||||
\(406\) | 1.37661 | + | 0.145046i | 0.0683198 | + | 0.00719853i | ||||
\(407\) | −19.5386 | − | 2.25434i | −0.968494 | − | 0.111744i | ||||
\(408\) | −4.80174 | + | 2.73894i | −0.237721 | + | 0.135598i | ||||
\(409\) | −8.30248 | − | 18.6477i | −0.410531 | − | 0.922068i | −0.993944 | − | 0.109892i | \(-0.964950\pi\) |
0.583412 | − | 0.812176i | \(-0.301717\pi\) | |||||||
\(410\) | 11.6359 | − | 10.4771i | 0.574659 | − | 0.517425i | ||||
\(411\) | −5.73159 | + | 6.29909i | −0.282719 | + | 0.310711i | ||||
\(412\) | −11.5388 | + | 8.38342i | −0.568475 | + | 0.413021i | ||||
\(413\) | 12.9591 | − | 22.4324i | 0.637675 | − | 1.10383i | ||||
\(414\) | −7.99306 | + | 2.50508i | −0.392837 | + | 0.123118i | ||||
\(415\) | −3.50659 | − | 16.4972i | −0.172132 | − | 0.809817i | ||||
\(416\) | 2.00873 | + | 4.51167i | 0.0984859 | + | 0.221203i | ||||
\(417\) | 19.8541 | − | 33.9771i | 0.972258 | − | 1.66386i | ||||
\(418\) | −2.34125 | − | 2.65390i | −0.114514 | − | 0.129807i | ||||
\(419\) | 30.7965i | 1.50451i | 0.658872 | + | 0.752255i | \(0.271034\pi\) | ||||
−0.658872 | + | 0.752255i | \(0.728966\pi\) | |||||||
\(420\) | 1.37446 | − | 6.29641i | 0.0670670 | − | 0.307233i | ||||
\(421\) | −1.54240 | + | 4.74702i | −0.0751721 | + | 0.231356i | −0.981581 | − | 0.191045i | \(-0.938812\pi\) |
0.906409 | + | 0.422401i | \(0.138812\pi\) | |||||||
\(422\) | 11.8454 | + | 10.6656i | 0.576623 | + | 0.519193i | ||||
\(423\) | 20.4355 | − | 1.93221i | 0.993609 | − | 0.0939471i | ||||
\(424\) | −0.417337 | + | 0.0438639i | −0.0202677 | + | 0.00213022i | ||||
\(425\) | −6.45414 | + | 7.16805i | −0.313072 | + | 0.347701i | ||||
\(426\) | 0.934802 | − | 2.82669i | 0.0452913 | − | 0.136954i | ||||
\(427\) | −13.6683 | + | 15.1723i | −0.661455 | + | 0.734239i | ||||
\(428\) | 12.6008 | 0.609081 | ||||||||
\(429\) | −21.3726 | + | 18.6571i | −1.03188 | + | 0.900771i | ||||
\(430\) | −4.79463 | + | 8.30454i | −0.231218 | + | 0.400480i | ||||
\(431\) | −5.55420 | + | 2.47289i | −0.267536 | + | 0.119115i | −0.536121 | − | 0.844141i | \(-0.680111\pi\) |
0.268584 | + | 0.963256i | \(0.413444\pi\) | |||||||
\(432\) | 1.00055 | + | 5.09891i | 0.0481391 | + | 0.245321i | ||||
\(433\) | −5.61131 | − | 17.2698i | −0.269662 | − | 0.829935i | −0.990583 | − | 0.136917i | \(-0.956281\pi\) |
0.720920 | − | 0.693018i | \(-0.243719\pi\) | |||||||
\(434\) | −0.000592882 | 2.29738i | −2.84592e−5 | 0.110278i | ||||||
\(435\) | 1.03492 | − | 0.743685i | 0.0496207 | − | 0.0356570i | ||||
\(436\) | 7.46888 | + | 6.72501i | 0.357694 | + | 0.322070i | ||||
\(437\) | −1.99358 | − | 2.21410i | −0.0953660 | − | 0.105915i | ||||
\(438\) | −4.95521 | + | 2.17525i | −0.236769 | + | 0.103938i | ||||
\(439\) | −3.36418 | + | 1.94231i | −0.160564 | + | 0.0927014i | −0.578129 | − | 0.815946i | \(-0.696217\pi\) |
0.417565 | + | 0.908647i | \(0.362884\pi\) | |||||||
\(440\) | 0.534616 | − | 4.63358i | 0.0254868 | − | 0.220897i | ||||
\(441\) | 14.2220 | − | 15.4510i | 0.677239 | − | 0.735763i | ||||
\(442\) | −9.26470 | + | 12.7518i | −0.440677 | + | 0.606539i | ||||
\(443\) | −3.84129 | − | 18.0718i | −0.182505 | − | 0.858619i | −0.970153 | − | 0.242494i | \(-0.922035\pi\) |
0.787648 | − | 0.616126i | \(-0.211299\pi\) | |||||||
\(444\) | −2.18801 | + | 10.0357i | −0.103838 | + | 0.476271i | ||||
\(445\) | 0.321120 | + | 3.05525i | 0.0152225 | + | 0.144833i | ||||
\(446\) | −11.1563 | − | 4.96711i | −0.528266 | − | 0.235199i | ||||
\(447\) | 31.9827 | − | 10.2074i | 1.51273 | − | 0.482793i | ||||
\(448\) | −1.55458 | − | 2.14086i | −0.0734471 | − | 0.101146i | ||||
\(449\) | 15.9011 | − | 21.8860i | 0.750420 | − | 1.03286i | −0.247531 | − | 0.968880i | \(-0.579619\pi\) |
0.997951 | − | 0.0639844i | \(-0.0203808\pi\) | |||||||
\(450\) | 4.45100 | + | 7.89883i | 0.209822 | + | 0.372354i | ||||
\(451\) | 35.2328 | − | 11.0537i | 1.65905 | − | 0.520499i | ||||
\(452\) | 4.02846 | + | 2.32583i | 0.189483 | + | 0.109398i | ||||
\(453\) | 3.84665 | − | 34.8463i | 0.180731 | − | 1.63722i | ||||
\(454\) | 4.41995 | − | 13.6032i | 0.207438 | − | 0.638430i | ||||
\(455\) | −3.81592 | − | 17.9753i | −0.178893 | − | 0.842695i | ||||
\(456\) | −1.50087 | + | 1.07851i | −0.0702848 | + | 0.0505060i | ||||
\(457\) | −3.57017 | + | 8.01872i | −0.167005 | + | 0.375100i | −0.977589 | − | 0.210523i | \(-0.932483\pi\) |
0.810584 | + | 0.585623i | \(0.199150\pi\) | |||||||
\(458\) | 18.6469 | + | 3.96352i | 0.871311 | + | 0.185203i | ||||
\(459\) | −12.4966 | + | 10.9023i | −0.583294 | + | 0.508875i | ||||
\(460\) | 0.410453 | − | 3.90520i | 0.0191375 | − | 0.182081i | ||||
\(461\) | −16.4127 | −0.764418 | −0.382209 | − | 0.924076i | \(-0.624837\pi\) | ||||
−0.382209 | + | 0.924076i | \(0.624837\pi\) | |||||||
\(462\) | 9.12469 | − | 12.1548i | 0.424519 | − | 0.565494i | ||||
\(463\) | −8.51812 | −0.395871 | −0.197935 | − | 0.980215i | \(-0.563424\pi\) | ||||
−0.197935 | + | 0.980215i | \(0.563424\pi\) | |||||||
\(464\) | 0.0546881 | − | 0.520322i | 0.00253883 | − | 0.0241554i | ||||
\(465\) | 1.40707 | + | 1.57922i | 0.0652511 | + | 0.0732345i | ||||
\(466\) | 6.75092 | + | 1.43495i | 0.312730 | + | 0.0664729i | ||||
\(467\) | −14.2061 | + | 31.9075i | −0.657381 | + | 1.47650i | 0.209409 | + | 0.977828i | \(0.432846\pi\) |
−0.866790 | + | 0.498673i | \(0.833821\pi\) | |||||||
\(468\) | 8.58286 | + | 12.0767i | 0.396743 | + | 0.558244i | ||||
\(469\) | 12.7659 | − | 11.4885i | 0.589475 | − | 0.530490i | ||||
\(470\) | −2.97352 | + | 9.15156i | −0.137158 | + | 0.422130i | ||||
\(471\) | 25.0065 | + | 2.76045i | 1.15224 | + | 0.127195i | ||||
\(472\) | −8.47993 | − | 4.89589i | −0.390320 | − | 0.225352i | ||||
\(473\) | −18.4296 | + | 13.1061i | −0.847394 | + | 0.602621i | ||||
\(474\) | −6.69486 | − | 11.7370i | −0.307505 | − | 0.539100i | ||||
\(475\) | −1.89552 | + | 2.60895i | −0.0869722 | + | 0.119707i | ||||
\(476\) | 3.43652 | − | 7.71320i | 0.157513 | − | 0.353534i | ||||
\(477\) | −1.20129 | + | 0.376493i | −0.0550033 | + | 0.0172384i | ||||
\(478\) | −26.1520 | − | 11.6436i | −1.19617 | − | 0.532567i | ||||
\(479\) | 1.08697 | + | 10.3419i | 0.0496651 | + | 0.472532i | 0.990882 | + | 0.134730i | \(0.0430168\pi\) |
−0.941217 | + | 0.337802i | \(0.890317\pi\) | |||||||
\(480\) | −2.37995 | − | 0.518885i | −0.108629 | − | 0.0236837i | ||||
\(481\) | 6.08914 | + | 28.6471i | 0.277641 | + | 1.30620i | ||||
\(482\) | 10.6795 | − | 14.6991i | 0.486438 | − | 0.669525i | ||||
\(483\) | 7.57746 | − | 10.3101i | 0.344786 | − | 0.469127i | ||||
\(484\) | 5.69225 | − | 9.41266i | 0.258739 | − | 0.427848i | ||||
\(485\) | −5.15959 | + | 2.97889i | −0.234285 | + | 0.135265i | ||||
\(486\) | 5.96629 | + | 14.4015i | 0.270636 | + | 0.653266i | ||||
\(487\) | −22.3574 | − | 24.8304i | −1.01311 | − | 1.12517i | −0.992107 | − | 0.125391i | \(-0.959981\pi\) |
−0.0210011 | − | 0.999779i | \(-0.506685\pi\) | |||||||
\(488\) | 5.73592 | + | 5.16465i | 0.259653 | + | 0.233793i | ||||
\(489\) | 23.9969 | + | 33.3944i | 1.08518 | + | 1.51015i | ||||
\(490\) | 3.99944 | + | 8.99538i | 0.180676 | + | 0.406370i | ||||
\(491\) | 0.00146407 | + | 0.00450594i | 6.60724e−5 | + | 0.000203350i | 0.951090 | − | 0.308915i | \(-0.0999660\pi\) |
−0.951023 | + | 0.309119i | \(0.899966\pi\) | |||||||
\(492\) | −3.91077 | − | 18.8833i | −0.176311 | − | 0.851324i | ||||
\(493\) | 1.52543 | − | 0.679167i | 0.0687021 | − | 0.0305881i | ||||
\(494\) | −2.63490 | + | 4.56377i | −0.118550 | + | 0.205334i | ||||
\(495\) | −1.17570 | − | 13.9435i | −0.0528439 | − | 0.626713i | ||||
\(496\) | 0.868329 | 0.0389891 | ||||||||
\(497\) | 1.40424 | + | 4.32560i | 0.0629888 | + | 0.194030i | ||||
\(498\) | −19.7214 | − | 6.52198i | −0.883737 | − | 0.292257i | ||||
\(499\) | −11.6224 | + | 12.9080i | −0.520289 | + | 0.577840i | −0.944827 | − | 0.327571i | \(-0.893770\pi\) |
0.424538 | + | 0.905410i | \(0.360437\pi\) | |||||||
\(500\) | −11.2202 | + | 1.17929i | −0.501781 | + | 0.0527393i | ||||
\(501\) | 2.71827 | − | 0.271352i | 0.121443 | − | 0.0121231i | ||||
\(502\) | 9.25305 | + | 8.33149i | 0.412984 | + | 0.371852i | ||||
\(503\) | −4.15264 | + | 12.7805i | −0.185157 | + | 0.569855i | −0.999951 | − | 0.00989591i | \(-0.996850\pi\) |
0.814794 | + | 0.579751i | \(0.196850\pi\) | |||||||
\(504\) | −5.84133 | − | 5.37391i | −0.260193 | − | 0.239373i | ||||
\(505\) | − | 1.85136i | − | 0.0823846i | ||||||
\(506\) | 4.71141 | − | 7.97239i | 0.209448 | − | 0.354416i | ||||
\(507\) | 17.0335 | + | 9.95329i | 0.756483 | + | 0.442041i | ||||
\(508\) | −7.35448 | − | 16.5184i | −0.326302 | − | 0.732887i | ||||
\(509\) | 6.09622 | + | 28.6805i | 0.270210 | + | 1.27124i | 0.878584 | + | 0.477588i | \(0.158489\pi\) |
−0.608374 | + | 0.793651i | \(0.708178\pi\) | |||||||
\(510\) | −2.36371 | − | 7.40619i | −0.104667 | − | 0.327951i | ||||
\(511\) | 4.13506 | − | 7.15786i | 0.182924 | − | 0.316645i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | −3.77416 | + | 4.06177i | −0.166633 | + | 0.179332i | ||||
\(514\) | −10.3600 | + | 9.32820i | −0.456961 | + | 0.411449i | ||||
\(515\) | −8.15845 | − | 18.3242i | −0.359504 | − | 0.807460i | ||||
\(516\) | 5.85154 | + | 10.2586i | 0.257600 | + | 0.451608i | ||||
\(517\) | −15.3550 | + | 16.7092i | −0.675314 | + | 0.734871i | ||||
\(518\) | −6.37793 | − | 14.3350i | −0.280230 | − | 0.629845i | ||||
\(519\) | −18.5359 | + | 25.2342i | −0.813635 | + | 1.10766i | ||||
\(520\) | −6.79366 | + | 1.44404i | −0.297921 | + | 0.0633252i | ||||
\(521\) | 0.904642 | − | 4.25601i | 0.0396331 | − | 0.186459i | −0.953878 | − | 0.300195i | \(-0.902948\pi\) |
0.993511 | + | 0.113736i | \(0.0362817\pi\) | |||||||
\(522\) | −0.147746 | − | 1.56260i | −0.00646665 | − | 0.0683930i | ||||
\(523\) | −2.10387 | + | 4.72537i | −0.0919958 | + | 0.206626i | −0.953683 | − | 0.300814i | \(-0.902742\pi\) |
0.861687 | + | 0.507440i | \(0.169408\pi\) | |||||||
\(524\) | 6.20300 | + | 19.0909i | 0.270979 | + | 0.833989i | ||||
\(525\) | −12.6210 | − | 5.70235i | −0.550826 | − | 0.248871i | ||||
\(526\) | −14.9358 | − | 10.8515i | −0.651232 | − | 0.473148i | ||||
\(527\) | 1.38567 | + | 2.40005i | 0.0603607 | + | 0.104548i | ||||
\(528\) | −4.59499 | − | 3.44762i | −0.199971 | − | 0.150039i | ||||
\(529\) | −7.60198 | + | 13.1670i | −0.330521 | + | 0.572479i | ||||
\(530\) | 0.0616877 | − | 0.586919i | 0.00267954 | − | 0.0254941i | ||||
\(531\) | −27.8412 | − | 9.36889i | −1.20821 | − | 0.406575i | ||||
\(532\) | 0.873097 | − | 2.68476i | 0.0378535 | − | 0.116399i | ||||
\(533\) | −32.3193 | − | 44.4838i | −1.39991 | − | 1.92681i | ||||
\(534\) | 3.44837 | + | 1.55695i | 0.149226 | + | 0.0673759i | ||||
\(535\) | −3.68441 | + | 17.3338i | −0.159291 | + | 0.749405i | ||||
\(536\) | −4.34349 | − | 4.82394i | −0.187610 | − | 0.208362i | ||||
\(537\) | 3.61764 | − | 32.7717i | 0.156113 | − | 1.41420i | ||||
\(538\) | − | 7.72445i | − | 0.333025i | ||||||
\(539\) | −0.247646 | + | 23.2151i | −0.0106669 | + | 0.999943i | ||||
\(540\) | −7.30668 | − | 0.114527i | −0.314430 | − | 0.00492844i | ||||
\(541\) | −10.2016 | − | 1.07223i | −0.438599 | − | 0.0460987i | −0.117344 | − | 0.993091i | \(-0.537438\pi\) |
−0.321255 | + | 0.946993i | \(0.604105\pi\) | |||||||
\(542\) | 13.9851 | − | 12.5923i | 0.600713 | − | 0.540884i | ||||
\(543\) | 7.46581 | − | 34.2432i | 0.320389 | − | 1.46952i | ||||
\(544\) | −2.91565 | − | 1.29813i | −0.125007 | − | 0.0556569i | ||||
\(545\) | −11.4349 | + | 8.30792i | −0.489816 | + | 0.355872i | ||||
\(546\) | −21.4854 | − | 7.11147i | −0.919488 | − | 0.304343i | ||||
\(547\) | 28.9187 | + | 9.39625i | 1.23647 | + | 0.401754i | 0.853055 | − | 0.521821i | \(-0.174747\pi\) |
0.383418 | + | 0.923575i | \(0.374747\pi\) | |||||||
\(548\) | −4.89003 | − | 0.513963i | −0.208892 | − | 0.0219554i | ||||
\(549\) | 19.9311 | + | 11.7866i | 0.850637 | + | 0.503038i | ||||
\(550\) | −9.50097 | − | 3.19403i | −0.405123 | − | 0.136194i | ||||
\(551\) | 0.483476 | − | 0.279135i | 0.0205968 | − | 0.0118915i | ||||
\(552\) | −3.89760 | − | 2.86301i | −0.165893 | − | 0.121858i | ||||
\(553\) | 18.8536 | + | 8.39999i | 0.801736 | + | 0.357204i | ||||
\(554\) | −3.54000 | + | 1.15022i | −0.150400 | + | 0.0488680i | ||||
\(555\) | −13.1654 | − | 5.94423i | −0.558841 | − | 0.252319i | ||||
\(556\) | 22.5958 | − | 2.37491i | 0.958273 | − | 0.100719i | ||||
\(557\) | 24.0837 | + | 5.11914i | 1.02046 | + | 0.216905i | 0.687614 | − | 0.726077i | \(-0.258658\pi\) |
0.332845 | + | 0.942982i | \(0.391992\pi\) | |||||||
\(558\) | 2.55358 | − | 0.514954i | 0.108102 | − | 0.0217998i | ||||
\(559\) | 27.2432 | + | 19.7933i | 1.15226 | + | 0.837169i | ||||
\(560\) | 3.39955 | − | 1.51252i | 0.143657 | − | 0.0639158i | ||||
\(561\) | 2.19656 | − | 18.2021i | 0.0927387 | − | 0.768495i | ||||
\(562\) | 7.16550 | + | 12.4110i | 0.302259 | + | 0.523527i | ||||
\(563\) | 16.6707 | − | 7.42228i | 0.702587 | − | 0.312812i | −0.0241687 | − | 0.999708i | \(-0.507694\pi\) |
0.726756 | + | 0.686896i | \(0.241027\pi\) | |||||||
\(564\) | 7.88380 | + | 8.84837i | 0.331968 | + | 0.372584i | ||||
\(565\) | −4.37735 | + | 4.86154i | −0.184156 | + | 0.204526i | ||||
\(566\) | −4.93996 | − | 6.79927i | −0.207642 | − | 0.285794i | ||||
\(567\) | −20.3651 | − | 12.3394i | −0.855255 | − | 0.518208i | ||||
\(568\) | 1.63479 | − | 0.531175i | 0.0685942 | − | 0.0222876i | ||||
\(569\) | 3.56235 | − | 0.757202i | 0.149342 | − | 0.0317435i | −0.132634 | − | 0.991165i | \(-0.542344\pi\) |
0.281976 | + | 0.959422i | \(0.409010\pi\) | |||||||
\(570\) | −1.04477 | − | 2.37997i | −0.0437605 | − | 0.0996861i | ||||
\(571\) | −16.8149 | − | 9.70810i | −0.703683 | − | 0.406272i | 0.105035 | − | 0.994469i | \(-0.466505\pi\) |
−0.808718 | + | 0.588197i | \(0.799838\pi\) | |||||||
\(572\) | −15.9863 | − | 3.56797i | −0.668420 | − | 0.149184i | ||||
\(573\) | 7.06862 | + | 0.0369290i | 0.295296 | + | 0.00154273i | ||||
\(574\) | 21.8856 | + | 19.7161i | 0.913487 | + | 0.822934i | ||||
\(575\) | −8.02538 | − | 2.60760i | −0.334682 | − | 0.108745i | ||||
\(576\) | −2.03058 | + | 2.20834i | −0.0846073 | + | 0.0920141i | ||||
\(577\) | 3.02559 | + | 28.7866i | 0.125957 | + | 1.19840i | 0.856725 | + | 0.515774i | \(0.172496\pi\) |
−0.730768 | + | 0.682626i | \(0.760838\pi\) | |||||||
\(578\) | 0.712241 | + | 6.77652i | 0.0296253 | + | 0.281866i | ||||
\(579\) | −0.994237 | + | 1.09268i | −0.0413191 | + | 0.0454102i | ||||
\(580\) | 0.699771 | + | 0.227370i | 0.0290564 | + | 0.00944100i | ||||
\(581\) | 30.1791 | − | 9.79718i | 1.25204 | − | 0.406455i | ||||
\(582\) | −0.0383337 | + | 7.33749i | −0.00158898 | + | 0.304149i | ||||
\(583\) | 0.708086 | − | 1.19819i | 0.0293259 | − | 0.0496238i | ||||
\(584\) | −2.70582 | − | 1.56221i | −0.111968 | − | 0.0646445i | ||||
\(585\) | −19.1224 | + | 8.27553i | −0.790614 | + | 0.342151i | ||||
\(586\) | −3.01914 | + | 0.641738i | −0.124720 | + | 0.0265100i | ||||
\(587\) | −21.0052 | + | 6.82499i | −0.866976 | + | 0.281698i | −0.708539 | − | 0.705671i | \(-0.750645\pi\) |
−0.158437 | + | 0.987369i | \(0.550645\pi\) | |||||||
\(588\) | 12.0505 | + | 1.33654i | 0.496953 | + | 0.0551179i | ||||
\(589\) | 0.544614 | + | 0.749597i | 0.0224404 | + | 0.0308866i | ||||
\(590\) | 9.21434 | − | 10.2336i | 0.379348 | − | 0.421309i | ||||
\(591\) | −0.731655 | + | 0.651896i | −0.0300963 | + | 0.0268154i | ||||
\(592\) | −5.41751 | + | 2.41203i | −0.222658 | + | 0.0991338i | ||||
\(593\) | −9.11219 | − | 15.7828i | −0.374193 | − | 0.648121i | 0.616013 | − | 0.787736i | \(-0.288747\pi\) |
−0.990206 | + | 0.139615i | \(0.955413\pi\) | |||||||
\(594\) | −15.5575 | − | 7.41375i | −0.638333 | − | 0.304190i | ||||
\(595\) | 9.60555 | + | 6.98263i | 0.393789 | + | 0.286260i | ||||
\(596\) | 15.6810 | + | 11.3929i | 0.642321 | + | 0.466673i | ||||
\(597\) | 3.42693 | + | 16.5471i | 0.140255 | + | 0.677226i | ||||
\(598\) | −13.4880 | − | 2.86697i | −0.551567 | − | 0.117239i | ||||
\(599\) | −25.7663 | + | 2.70814i | −1.05278 | + | 0.110652i | −0.615077 | − | 0.788467i | \(-0.710875\pi\) |
−0.437704 | + | 0.899119i | \(0.644208\pi\) | |||||||
\(600\) | −2.15405 | + | 4.77085i | −0.0879389 | + | 0.194769i | ||||
\(601\) | 10.5842 | − | 3.43901i | 0.431738 | − | 0.140280i | −0.0850828 | − | 0.996374i | \(-0.527115\pi\) |
0.516820 | + | 0.856094i | \(0.327115\pi\) | |||||||
\(602\) | −16.4787 | − | 7.34188i | −0.671621 | − | 0.299233i | ||||
\(603\) | −15.6341 | − | 11.6104i | −0.636671 | − | 0.472811i | ||||
\(604\) | 17.5290 | − | 10.1204i | 0.713244 | − | 0.411791i | ||||
\(605\) | 11.2838 | + | 10.5826i | 0.458751 | + | 0.430242i | ||||
\(606\) | −1.96867 | − | 1.15037i | −0.0799719 | − | 0.0467305i | ||||
\(607\) | −2.72283 | − | 0.286181i | −0.110516 | − | 0.0116157i | 0.0491089 | − | 0.998793i | \(-0.484362\pi\) |
−0.159625 | + | 0.987178i | \(0.551029\pi\) | |||||||
\(608\) | −1.01483 | − | 0.329738i | −0.0411567 | − | 0.0133726i | ||||
\(609\) | 1.59448 | + | 1.79050i | 0.0646117 | + | 0.0725545i | ||||
\(610\) | −8.78172 | + | 6.38029i | −0.355561 | + | 0.258330i | ||||
\(611\) | 30.8698 | + | 13.7441i | 1.24886 | + | 0.556028i | ||||
\(612\) | −9.34419 | − | 2.08844i | −0.377716 | − | 0.0844203i | ||||
\(613\) | 28.8310 | − | 25.9595i | 1.16447 | − | 1.04850i | 0.166424 | − | 0.986054i | \(-0.446778\pi\) |
0.998049 | − | 0.0624412i | \(-0.0198886\pi\) | |||||||
\(614\) | −18.1478 | − | 1.90741i | −0.732387 | − | 0.0769770i | ||||
\(615\) | 27.1196 | + | 0.141682i | 1.09357 | + | 0.00571319i | ||||
\(616\) | 8.77449 | + | 0.0913370i | 0.353534 | + | 0.00368007i | ||||
\(617\) | 19.4606i | 0.783454i | 0.920082 | + | 0.391727i | \(0.128122\pi\) | ||||
−0.920082 | + | 0.391727i | \(0.871878\pi\) | |||||||
\(618\) | −24.5546 | − | 2.71056i | −0.987731 | − | 0.109035i | ||||
\(619\) | −8.70162 | − | 9.66413i | −0.349748 | − | 0.388434i | 0.542443 | − | 0.840092i | \(-0.317499\pi\) |
−0.892191 | + | 0.451658i | \(0.850833\pi\) | |||||||
\(620\) | −0.253896 | + | 1.19448i | −0.0101967 | + | 0.0479716i | ||||
\(621\) | −13.1600 | − | 6.10809i | −0.528091 | − | 0.245109i | ||||
\(622\) | 7.03865 | + | 9.68787i | 0.282224 | + | 0.388448i | ||||
\(623\) | −5.65350 | + | 1.20016i | −0.226503 | + | 0.0480836i | ||||
\(624\) | −2.68579 | + | 8.12139i | −0.107518 | + | 0.325116i | ||||
\(625\) | 0.0789576 | − | 0.751231i | 0.00315830 | − | 0.0300493i | ||||
\(626\) | −14.3514 | + | 24.8574i | −0.573599 | + | 0.993502i | ||||
\(627\) | 0.0942428 | − | 6.12903i | 0.00376370 | − | 0.244770i | ||||
\(628\) | 7.26261 | + | 12.5792i | 0.289809 | + | 0.501965i | ||||
\(629\) | −15.3120 | − | 11.1248i | −0.610530 | − | 0.443576i | ||||
\(630\) | 9.10039 | − | 6.46410i | 0.362568 | − | 0.257536i | ||||
\(631\) | −3.25192 | − | 10.0084i | −0.129457 | − | 0.398427i | 0.865230 | − | 0.501375i | \(-0.167172\pi\) |
−0.994687 | + | 0.102948i | \(0.967172\pi\) | |||||||
\(632\) | 3.17306 | − | 7.12681i | 0.126217 | − | 0.283489i | ||||
\(633\) | 2.74234 | + | 27.4715i | 0.108998 | + | 1.09189i | ||||
\(634\) | −2.56185 | + | 12.0526i | −0.101744 | + | 0.478668i | ||||
\(635\) | 24.8734 | − | 5.28700i | 0.987070 | − | 0.209808i | ||||
\(636\) | −0.585778 | − | 0.430286i | −0.0232276 | − | 0.0170620i | ||||
\(637\) | 32.8840 | − | 10.6659i | 1.30291 | − | 0.422598i | ||||
\(638\) | 1.27767 | + | 1.17412i | 0.0505833 | + | 0.0464838i | ||||
\(639\) | 4.49257 | − | 2.53157i | 0.177724 | − | 0.100148i | ||||
\(640\) | −0.572012 | − | 1.28476i | −0.0226108 | − | 0.0507846i | ||||
\(641\) | −18.9939 | + | 17.1022i | −0.750215 | + | 0.675497i | −0.952742 | − | 0.303780i | \(-0.901751\pi\) |
0.202527 | + | 0.979277i | \(0.435085\pi\) | |||||||
\(642\) | 16.1428 | + | 14.6884i | 0.637104 | + | 0.579706i | ||||
\(643\) | −7.22615 | + | 5.25010i | −0.284971 | + | 0.207044i | −0.721083 | − | 0.692849i | \(-0.756355\pi\) |
0.436111 | + | 0.899893i | \(0.356355\pi\) | |||||||
\(644\) | 7.38731 | + | 0.00190643i | 0.291101 | + | 7.51239e-5i | ||||
\(645\) | −15.8228 | + | 5.04989i | −0.623021 | + | 0.198839i | ||||
\(646\) | −0.708060 | − | 3.33116i | −0.0278583 | − | 0.131063i | ||||
\(647\) | 14.7259 | + | 33.0749i | 0.578935 | + | 1.30031i | 0.931234 | + | 0.364422i | \(0.118733\pi\) |
−0.352299 | + | 0.935887i | \(0.614600\pi\) | |||||||
\(648\) | −4.66188 | + | 7.69850i | −0.183136 | + | 0.302425i | ||||
\(649\) | 29.8005 | − | 12.9072i | 1.16977 | − | 0.506652i | ||||
\(650\) | 14.9255i | 0.585427i | ||||||||
\(651\) | −2.67877 | + | 2.94247i | −0.104989 | + | 0.115324i | ||||
\(652\) | −7.33666 | + | 22.5799i | −0.287326 | + | 0.884297i | ||||
\(653\) | 28.5699 | + | 25.7245i | 1.11803 | + | 1.00668i | 0.999906 | + | 0.0136775i | \(0.00435381\pi\) |
0.118121 | + | 0.992999i | \(0.462313\pi\) | |||||||
\(654\) | 1.72914 | + | 17.3217i | 0.0676146 | + | 0.677330i | ||||
\(655\) | −28.0754 | + | 2.95084i | −1.09700 | + | 0.115299i | ||||
\(656\) | 7.44985 | − | 8.27390i | 0.290868 | − | 0.323041i | ||||
\(657\) | −8.88372 | − | 2.98947i | −0.346587 | − | 0.116630i | ||||
\(658\) | −17.7062 | − | 3.76836i | −0.690261 | − | 0.146906i | ||||
\(659\) | 17.3596 | 0.676233 | 0.338117 | − | 0.941104i | \(-0.390210\pi\) | ||||
0.338117 | + | 0.941104i | \(0.390210\pi\) | |||||||
\(660\) | 6.08615 | − | 5.31285i | 0.236903 | − | 0.206802i | ||||
\(661\) | −8.70627 | + | 15.0797i | −0.338635 | + | 0.586532i | −0.984176 | − | 0.177193i | \(-0.943298\pi\) |
0.645542 | + | 0.763725i | \(0.276632\pi\) | |||||||
\(662\) | 13.5095 | − | 6.01484i | 0.525064 | − | 0.233773i | ||||
\(663\) | −26.7334 | + | 5.53654i | −1.03824 | + | 0.215021i | ||||
\(664\) | −3.70593 | − | 11.4057i | −0.143818 | − | 0.442626i | ||||
\(665\) | 3.43790 | + | 1.98605i | 0.133316 | + | 0.0770159i | ||||
\(666\) | −14.5014 | + | 10.3061i | −0.561917 | + | 0.399353i | ||||
\(667\) | 1.08560 | + | 0.977476i | 0.0420345 | + | 0.0378480i | ||||
\(668\) | 1.05535 | + | 1.17208i | 0.0408327 | + | 0.0453493i | ||||
\(669\) | −8.50221 | − | 19.3680i | −0.328715 | − | 0.748809i | ||||
\(670\) | 7.90589 | − | 4.56447i | 0.305431 | − | 0.176341i | ||||
\(671\) | −25.0925 | + | 5.06792i | −0.968686 | + | 0.195645i | ||||
\(672\) | 0.503988 | − | 4.55478i | 0.0194418 | − | 0.175704i | ||||
\(673\) | −5.93002 | + | 8.16197i | −0.228585 | + | 0.314621i | −0.907868 | − | 0.419256i | \(-0.862291\pi\) |
0.679283 | + | 0.733877i | \(0.262291\pi\) | |||||||
\(674\) | 1.09149 | + | 5.13508i | 0.0420428 | + | 0.197796i | ||||
\(675\) | −3.50533 | + | 15.3076i | −0.134920 | + | 0.589188i | ||||
\(676\) | 1.19060 | + | 11.3278i | 0.0457921 | + | 0.435683i | ||||
\(677\) | −1.49502 | − | 0.665627i | −0.0574584 | − | 0.0255821i | 0.377806 | − | 0.925885i | \(-0.376679\pi\) |
−0.435265 | + | 0.900303i | \(0.643345\pi\) | |||||||
\(678\) | 2.44966 | + | 7.67549i | 0.0940786 | + | 0.294775i | ||||
\(679\) | −6.58577 | − | 9.06945i | −0.252739 | − | 0.348054i | ||||
\(680\) | 2.63825 | − | 3.63124i | 0.101172 | − | 0.139252i | ||||
\(681\) | 21.5193 | − | 12.2747i | 0.824621 | − | 0.470368i | ||||
\(682\) | −1.71634 | + | 2.31260i | −0.0657220 | + | 0.0885541i | ||||
\(683\) | 33.8117 | + | 19.5212i | 1.29377 | + | 0.746957i | 0.979320 | − | 0.202318i | \(-0.0648474\pi\) |
0.314447 | + | 0.949275i | \(0.398181\pi\) | |||||||
\(684\) | −3.17995 | − | 0.367858i | −0.121589 | − | 0.0140654i | ||||
\(685\) | 2.13684 | − | 6.57651i | 0.0816443 | − | 0.251275i | ||||
\(686\) | −16.0462 | + | 9.24771i | −0.612646 | + | 0.353079i | ||||
\(687\) | 19.2682 | + | 26.8139i | 0.735127 | + | 1.02301i | ||||
\(688\) | −2.77336 | + | 6.22907i | −0.105733 | + | 0.237481i | ||||
\(689\) | −2.02714 | − | 0.430882i | −0.0772279 | − | 0.0164153i | ||||
\(690\) | 5.07803 | − | 4.52446i | 0.193317 | − | 0.172243i | ||||
\(691\) | −4.60891 | + | 43.8508i | −0.175331 | + | 1.66816i | 0.453981 | + | 0.891011i | \(0.350003\pi\) |
−0.629312 | + | 0.777153i | \(0.716663\pi\) | |||||||
\(692\) | −18.0771 | −0.687188 | ||||||||
\(693\) | 25.8582 | − | 4.93503i | 0.982271 | − | 0.187466i | ||||
\(694\) | 33.4948 | 1.27145 | ||||||||
\(695\) | −3.33994 | + | 31.7774i | −0.126691 | + | 1.20539i | ||||
\(696\) | 0.676588 | − | 0.602832i | 0.0256460 | − | 0.0228503i | ||||
\(697\) | 34.7573 | + | 7.38789i | 1.31653 | + | 0.279836i | ||||
\(698\) | 9.21017 | − | 20.6864i | 0.348610 | − | 0.782991i | ||||
\(699\) | 6.97586 | + | 9.70770i | 0.263851 | + | 0.367179i | ||||
\(700\) | −1.66044 | − | 7.82167i | −0.0627587 | − | 0.295631i | ||||
\(701\) | −13.3062 | + | 40.9524i | −0.502570 | + | 1.54675i | 0.302249 | + | 0.953229i | \(0.402263\pi\) |
−0.804818 | + | 0.593521i | \(0.797737\pi\) | |||||||
\(702\) | −3.08205 | + | 25.4762i | −0.116324 | + | 0.961536i | ||||
\(703\) | −5.48007 | − | 3.16392i | −0.206685 | − | 0.119330i | ||||
\(704\) | 0.0336663 | − | 3.31645i | 0.00126885 | − | 0.124994i | ||||
\(705\) | −14.4771 | + | 8.25783i | −0.545240 | + | 0.311008i | ||||
\(706\) | 0.695879 | − | 0.957796i | 0.0261898 | − | 0.0360471i | ||||
\(707\) | 3.46398 | − | 0.363175i | 0.130276 | − | 0.0136586i | ||||
\(708\) | −5.15655 | − | 16.1569i | −0.193795 | − | 0.607215i | ||||
\(709\) | 1.33042 | + | 0.592343i | 0.0499651 | + | 0.0222459i | 0.431567 | − | 0.902081i | \(-0.357961\pi\) |
−0.381602 | + | 0.924327i | \(0.624627\pi\) | |||||||
\(710\) | 0.252686 | + | 2.40415i | 0.00948314 | + | 0.0902261i | ||||
\(711\) | 5.10484 | − | 22.8403i | 0.191447 | − | 0.856577i | ||||
\(712\) | 0.454171 | + | 2.13671i | 0.0170208 | + | 0.0800765i | ||||
\(713\) | −1.42508 | + | 1.96146i | −0.0533698 | + | 0.0734572i | ||||
\(714\) | 13.3936 | − | 5.87544i | 0.501243 | − | 0.219883i | ||||
\(715\) | 9.58246 | − | 20.9477i | 0.358364 | − | 0.783399i | ||||
\(716\) | 16.4854 | − | 9.51784i | 0.616088 | − | 0.355698i | ||||
\(717\) | −19.9304 | − | 45.4014i | −0.744316 | − | 1.69555i | ||||
\(718\) | −22.3727 | − | 24.8474i | −0.834943 | − | 0.927298i | ||||
\(719\) | 2.76180 | + | 2.48674i | 0.102998 | + | 0.0927396i | 0.719021 | − | 0.694988i | \(-0.244591\pi\) |
−0.616023 | + | 0.787728i | \(0.711257\pi\) | |||||||
\(720\) | −2.44409 | − | 3.43900i | −0.0910858 | − | 0.128164i | ||||
\(721\) | 32.6849 | − | 18.8594i | 1.21725 | − | 0.702360i | ||||
\(722\) | 5.51948 | + | 16.9872i | 0.205414 | + | 0.632198i | ||||
\(723\) | 30.8158 | − | 6.38202i | 1.14605 | − | 0.237350i | ||||
\(724\) | 18.4854 | − | 8.23022i | 0.687003 | − | 0.305874i | ||||
\(725\) | 0.790588 | − | 1.36934i | 0.0293617 | − | 0.0508560i | ||||
\(726\) | 18.2644 | − | 5.42316i | 0.677857 | − | 0.201272i | ||||
\(727\) | 8.32563 | 0.308781 | 0.154390 | − | 0.988010i | \(-0.450659\pi\) | ||||
0.154390 | + | 0.988010i | \(0.450659\pi\) | |||||||
\(728\) | −4.03454 | − | 12.4279i | −0.149530 | − | 0.460610i | ||||
\(729\) | −9.14414 | + | 25.4044i | −0.338672 | + | 0.940905i | ||||
\(730\) | 2.94016 | − | 3.26538i | 0.108820 | − | 0.120857i | ||||
\(731\) | −21.6428 | + | 2.27475i | −0.800486 | + | 0.0841345i | ||||
\(732\) | 1.32794 | + | 13.3026i | 0.0490819 | + | 0.491679i | ||||
\(733\) | 20.0749 | + | 18.0755i | 0.741483 | + | 0.667634i | 0.950657 | − | 0.310244i | \(-0.100411\pi\) |
−0.209174 | + | 0.977878i | \(0.567078\pi\) | |||||||
\(734\) | −7.09008 | + | 21.8210i | −0.261700 | + | 0.805429i | ||||
\(735\) | −5.36206 | + | 16.1860i | −0.197783 | + | 0.597029i | ||||
\(736\) | − | 2.79214i | − | 0.102920i | ||||||
\(737\) | 21.4328 | − | 2.03294i | 0.789488 | − | 0.0748844i | ||||
\(738\) | 17.0018 | − | 28.7499i | 0.625843 | − | 1.05830i | ||||
\(739\) | −0.897769 | − | 2.01642i | −0.0330250 | − | 0.0741753i | 0.896280 | − | 0.443489i | \(-0.146259\pi\) |
−0.929305 | + | 0.369314i | \(0.879593\pi\) | |||||||
\(740\) | −1.73396 | − | 8.15766i | −0.0637418 | − | 0.299882i | ||||
\(741\) | −8.69543 | + | 2.77518i | −0.319435 | + | 0.101949i | ||||
\(742\) | 1.11025 | 0.000286521i | 0.0407586 | 1.05185e-5i | ||||||
\(743\) | −4.61210 | + | 3.35089i | −0.169202 | + | 0.122932i | −0.669163 | − | 0.743115i | \(-0.733347\pi\) |
0.499962 | + | 0.866047i | \(0.333347\pi\) | |||||||
\(744\) | 1.11241 | + | 1.01219i | 0.0407829 | + | 0.0371087i | ||||
\(745\) | −20.2574 | + | 18.2398i | −0.742172 | + | 0.668255i | ||||
\(746\) | −11.3713 | − | 25.5403i | −0.416332 | − | 0.935096i | ||||
\(747\) | −17.6624 | − | 31.3440i | −0.646234 | − | 1.14682i | ||||
\(748\) | 9.22036 | − | 5.19930i | 0.337130 | − | 0.190105i | ||||
\(749\) | −33.1550 | − | 3.49338i | −1.21146 | − | 0.127645i | ||||
\(750\) | −15.7487 | − | 11.5683i | −0.575063 | − | 0.422415i | ||||
\(751\) | 34.6969 | − | 7.37505i | 1.26611 | − | 0.269119i | 0.474558 | − | 0.880224i | \(-0.342608\pi\) |
0.791550 | + | 0.611105i | \(0.209275\pi\) | |||||||
\(752\) | −1.42258 | + | 6.69270i | −0.0518761 | + | 0.244058i | ||||
\(753\) | 2.14219 | + | 21.4595i | 0.0780659 | + | 0.782027i | ||||
\(754\) | 1.05094 | − | 2.36045i | 0.0382730 | − | 0.0859627i | ||||
\(755\) | 8.79630 | + | 27.0722i | 0.320130 | + | 0.985259i | ||||
\(756\) | −1.21904 | − | 13.6936i | −0.0443361 | − | 0.498030i | ||||
\(757\) | 17.6353 | + | 12.8128i | 0.640966 | + | 0.465689i | 0.860182 | − | 0.509988i | \(-0.170350\pi\) |
−0.219216 | + | 0.975676i | \(0.570350\pi\) | |||||||
\(758\) | 18.9022 | + | 32.7395i | 0.686557 | + | 1.18915i | ||||
\(759\) | 15.3290 | − | 4.72139i | 0.556407 | − | 0.171376i | ||||
\(760\) | 0.750323 | − | 1.29960i | 0.0272171 | − | 0.0471413i | ||||
\(761\) | −0.156380 | + | 1.48786i | −0.00566878 | + | 0.0539349i | −0.996991 | − | 0.0775226i | \(-0.975299\pi\) |
0.991322 | + | 0.131457i | \(0.0419657\pi\) | |||||||
\(762\) | 9.83339 | − | 29.7346i | 0.356226 | − | 1.07717i | ||||
\(763\) | −17.7876 | − | 19.7654i | −0.643954 | − | 0.715555i | ||||
\(764\) | 2.39883 | + | 3.30170i | 0.0867865 | + | 0.119451i | ||||
\(765\) | 5.60509 | − | 12.2433i | 0.202652 | − | 0.442658i | ||||
\(766\) | 3.60165 | − | 16.9444i | 0.130133 | − | 0.612227i | ||||
\(767\) | −32.3579 | − | 35.9370i | −1.16837 | − | 1.29761i | ||||
\(768\) | −1.72159 | − | 0.190045i | −0.0621226 | − | 0.00685767i | ||||
\(769\) | − | 4.30792i | − | 0.155348i | −0.996979 | − | 0.0776738i | \(-0.975251\pi\) | ||
0.996979 | − | 0.0776738i | \(-0.0247493\pi\) | |||||||
\(770\) | −2.69127 | + | 12.0436i | −0.0969865 | + | 0.434021i | ||||
\(771\) | −24.1458 | − | 0.126146i | −0.869590 | − | 0.00454305i | ||||
\(772\) | −0.848255 | − | 0.0891552i | −0.0305294 | − | 0.00320876i | ||||
\(773\) | −30.6426 | + | 27.5908i | −1.10214 | + | 0.992370i | −0.999997 | − | 0.00239950i | \(-0.999236\pi\) |
−0.102142 | + | 0.994770i | \(0.532570\pi\) | |||||||
\(774\) | −4.46181 | + | 19.9632i | −0.160376 | + | 0.717561i | ||||
\(775\) | 2.39738 | + | 1.06738i | 0.0861164 | + | 0.0383415i | ||||
\(776\) | −3.42729 | + | 2.49007i | −0.123032 | + | 0.0893883i | ||||
\(777\) | 8.53929 | − | 25.7991i | 0.306345 | − | 0.925538i | ||||
\(778\) | 26.2194 | + | 8.51919i | 0.940010 | + | 0.305428i | ||||
\(779\) | 11.8151 | + | 1.24182i | 0.423320 | + | 0.0444927i | ||||
\(780\) | −10.3866 | − | 6.06926i | −0.371899 | − | 0.217315i | ||||
\(781\) | −1.81665 | + | 5.40382i | −0.0650050 | + | 0.193364i | ||||
\(782\) | 7.71743 | − | 4.45566i | 0.275975 | − | 0.159334i | ||||
\(783\) | 1.63221 | − | 2.17405i | 0.0583303 | − | 0.0776943i | ||||
\(784\) | 3.49687 | + | 6.06398i | 0.124888 | + | 0.216571i | ||||
\(785\) | −19.4277 | + | 6.31243i | −0.693403 | + | 0.225300i | ||||
\(786\) | −14.3072 | + | 31.6879i | −0.510320 | + | 1.13027i | ||||
\(787\) | −13.9269 | + | 1.46377i | −0.496439 | + | 0.0521778i | −0.349440 | − | 0.936959i | \(-0.613628\pi\) |
−0.146999 | + | 0.989137i | \(0.546961\pi\) | |||||||
\(788\) | −0.553407 | − | 0.117630i | −0.0197143 | − | 0.00419041i | ||||
\(789\) | −6.48481 | − | 31.3121i | −0.230865 | − | 1.11474i | ||||
\(790\) | 8.87594 | + | 6.44875i | 0.315792 | + | 0.229436i | ||||
\(791\) | −9.95482 | − | 7.23653i | −0.353953 | − | 0.257301i | ||||
\(792\) | −1.86779 | − | 9.77299i | −0.0663689 | − | 0.347268i | ||||
\(793\) | 19.0593 | + | 33.0117i | 0.676816 | + | 1.17228i | ||||
\(794\) | 22.8446 | − | 10.1711i | 0.810725 | − | 0.360958i | ||||
\(795\) | 0.763186 | − | 0.679990i | 0.0270674 | − | 0.0241168i | ||||
\(796\) | −6.52816 | + | 7.25026i | −0.231384 | + | 0.256978i | ||||
\(797\) | −6.56467 | − | 9.03549i | −0.232533 | − | 0.320054i | 0.676766 | − | 0.736198i | \(-0.263381\pi\) |
−0.909298 | + | 0.416145i | \(0.863381\pi\) | |||||||
\(798\) | 4.24808 | − | 2.42167i | 0.150380 | − | 0.0857263i | ||||
\(799\) | −20.7687 | + | 6.74815i | −0.734742 | + | 0.238732i | ||||
\(800\) | −2.95615 | + | 0.628350i | −0.104516 | + | 0.0222155i | ||||
\(801\) | 2.60278 | + | 6.01428i | 0.0919647 | + | 0.212504i | ||||
\(802\) | 33.9889 | + | 19.6235i | 1.20019 | + | 0.692929i | ||||
\(803\) | 9.50891 | − | 4.11850i | 0.335562 | − | 0.145339i | ||||
\(804\) | 0.0587375 | − | 11.2430i | 0.00207151 | − | 0.396511i | ||||
\(805\) | −2.16264 | + | 10.1615i | −0.0762230 | + | 0.358146i | ||||
\(806\) | 4.07848 | + | 1.32518i | 0.143658 | + | 0.0466774i | ||||
\(807\) | 9.00421 | − | 9.89573i | 0.316963 | − | 0.348346i | ||||
\(808\) | −0.137605 | − | 1.30923i | −0.00484093 | − | 0.0460584i | ||||
\(809\) | −0.764971 | − | 7.27821i | −0.0268950 | − | 0.255888i | −0.999705 | − | 0.0242843i | \(-0.992269\pi\) |
0.972810 | − | 0.231604i | \(-0.0743974\pi\) | |||||||
\(810\) | −9.22704 | − | 8.66395i | −0.324205 | − | 0.304420i | ||||
\(811\) | −38.5510 | − | 12.5260i | −1.35371 | − | 0.439846i | −0.459770 | − | 0.888038i | \(-0.652068\pi\) |
−0.893937 | + | 0.448192i | \(0.852068\pi\) | |||||||
\(812\) | −0.288146 | + | 1.35390i | −0.0101119 | + | 0.0475127i | ||||
\(813\) | 32.5948 | + | 0.170287i | 1.14315 | + | 0.00597222i | ||||
\(814\) | 4.28433 | − | 19.1960i | 0.150166 | − | 0.672818i | ||||
\(815\) | −28.9160 | − | 16.6947i | −1.01288 | − | 0.584788i | ||||
\(816\) | −2.22201 | − | 5.06173i | −0.0777861 | − | 0.177196i | ||||
\(817\) | −7.11678 | + | 1.51272i | −0.248985 | + | 0.0529233i | ||||
\(818\) | 19.4134 | − | 6.30778i | 0.678772 | − | 0.220546i | ||||
\(819\) | −19.2350 | − | 34.1554i | −0.672127 | − | 1.19349i | ||||
\(820\) | 9.20337 | + | 12.6674i | 0.321396 | + | 0.442363i | ||||
\(821\) | 24.3977 | − | 27.0964i | 0.851487 | − | 0.945672i | −0.147572 | − | 0.989051i | \(-0.547146\pi\) |
0.999059 | + | 0.0433795i | \(0.0138125\pi\) | |||||||
\(822\) | −5.66547 | − | 6.35863i | −0.197606 | − | 0.221783i | ||||
\(823\) | −34.7537 | + | 15.4734i | −1.21144 | + | 0.539367i | −0.910195 | − | 0.414180i | \(-0.864068\pi\) |
−0.301244 | + | 0.953547i | \(0.597402\pi\) | |||||||
\(824\) | −7.13136 | − | 12.3519i | −0.248433 | − | 0.430298i | ||||
\(825\) | −8.44841 | − | 15.1669i | −0.294136 | − | 0.528044i | ||||
\(826\) | 20.9550 | + | 15.2329i | 0.729116 | + | 0.530022i | ||||
\(827\) | 18.2864 | + | 13.2859i | 0.635881 | + | 0.461994i | 0.858432 | − | 0.512927i | \(-0.171439\pi\) |
−0.222552 | + | 0.974921i | \(0.571439\pi\) | |||||||
\(828\) | −1.65585 | − | 8.21112i | −0.0575448 | − | 0.285356i | ||||
\(829\) | −10.6662 | − | 2.26716i | −0.370451 | − | 0.0787419i | 0.0189243 | − | 0.999821i | \(-0.493976\pi\) |
−0.389376 | + | 0.921079i | \(0.627309\pi\) | |||||||
\(830\) | 16.7734 | − | 1.76295i | 0.582213 | − | 0.0611930i | ||||
\(831\) | −5.87584 | − | 2.65296i | −0.203831 | − | 0.0920302i | ||||
\(832\) | −4.69693 | + | 1.52612i | −0.162837 | + | 0.0529088i | ||||
\(833\) | −11.1805 | + | 19.3421i | −0.387381 | + | 0.670165i | ||||
\(834\) | 31.7156 | + | 23.2969i | 1.09822 | + | 0.806705i | ||||
\(835\) | −1.92091 | + | 1.10904i | −0.0664759 | + | 0.0383799i | ||||
\(836\) | 2.88409 | − | 2.05101i | 0.0997484 | − | 0.0709357i | ||||
\(837\) | 3.87164 | + | 2.31695i | 0.133824 | + | 0.0800854i | ||||
\(838\) | −30.6278 | − | 3.21911i | −1.05802 | − | 0.111202i | ||||
\(839\) | −21.5458 | − | 7.00065i | −0.743844 | − | 0.241689i | −0.0875135 | − | 0.996163i | \(-0.527892\pi\) |
−0.656330 | + | 0.754474i | \(0.727892\pi\) | |||||||
\(840\) | 6.11825 | + | 2.02509i | 0.211100 | + | 0.0698722i | ||||
\(841\) | 23.2400 | − | 16.8849i | 0.801381 | − | 0.582237i | ||||
\(842\) | −4.55980 | − | 2.03015i | −0.157141 | − | 0.0699636i | ||||
\(843\) | −5.28756 | + | 24.2523i | −0.182113 | + | 0.835294i | ||||
\(844\) | −11.8454 | + | 10.6656i | −0.407734 | + | 0.367125i | ||||
\(845\) | −15.9307 | − | 1.67439i | −0.548034 | − | 0.0576007i | ||||
\(846\) | −0.214471 | + | 20.5255i | −0.00737368 | + | 0.705683i | ||||
\(847\) | −17.5869 | + | 23.1884i | −0.604293 | + | 0.796762i | ||||
\(848\) | − | 0.419636i | − | 0.0144103i | ||||||
\(849\) | 1.59721 | − | 14.4689i | 0.0548160 | − | 0.496571i | ||||
\(850\) | −6.45414 | − | 7.16805i | −0.221375 | − | 0.245862i | ||||
\(851\) | 3.44259 | − | 16.1961i | 0.118010 | − | 0.555196i | ||||
\(852\) | 2.71349 | + | 1.22515i | 0.0929627 | + | 0.0419730i | ||||
\(853\) | −24.4500 | − | 33.6525i | −0.837151 | − | 1.15224i | −0.986550 | − | 0.163463i | \(-0.947734\pi\) |
0.149398 | − | 0.988777i | \(-0.452266\pi\) | |||||||
\(854\) | −13.6605 | − | 15.1794i | −0.467451 | − | 0.519427i | ||||
\(855\) | 1.43583 | − | 4.26683i | 0.0491045 | − | 0.145922i | ||||
\(856\) | −1.31714 | + | 12.5317i | −0.0450189 | + | 0.428326i | ||||
\(857\) | −0.368855 | + | 0.638876i | −0.0125999 | + | 0.0218236i | −0.872257 | − | 0.489049i | \(-0.837344\pi\) |
0.859657 | + | 0.510872i | \(0.170677\pi\) | |||||||
\(858\) | −16.3208 | − | 23.2057i | −0.557183 | − | 0.792231i | ||||
\(859\) | −15.3932 | − | 26.6619i | −0.525210 | − | 0.909691i | −0.999569 | − | 0.0293590i | \(-0.990653\pi\) |
0.474359 | − | 0.880332i | \(-0.342680\pi\) | |||||||
\(860\) | −7.75787 | − | 5.63642i | −0.264541 | − | 0.192200i | ||||
\(861\) | 5.05485 | + | 50.7697i | 0.172269 | + | 1.73023i | ||||
\(862\) | −1.87877 | − | 5.78226i | −0.0639912 | − | 0.196945i | ||||
\(863\) | 11.3230 | − | 25.4318i | 0.385438 | − | 0.865708i | −0.611770 | − | 0.791036i | \(-0.709542\pi\) |
0.997208 | − | 0.0746725i | \(-0.0237911\pi\) | |||||||
\(864\) | −5.17557 | + | 0.462090i | −0.176076 | + | 0.0157206i | ||||
\(865\) | 5.28566 | − | 24.8671i | 0.179718 | − | 0.845506i | ||||
\(866\) | 17.7618 | − | 3.77538i | 0.603569 | − | 0.128293i | ||||
\(867\) | −6.98678 | + | 9.51159i | −0.237284 | + | 0.323030i | ||||
\(868\) | −2.28474 | − | 0.240731i | −0.0775490 | − | 0.00817096i | ||||
\(869\) | 12.7088 | + | 22.5376i | 0.431117 | + | 0.764535i | ||||
\(870\) | 0.631432 | + | 1.10699i | 0.0214076 | + | 0.0375304i | ||||
\(871\) | −13.0391 | − | 29.2864i | −0.441814 | − | 0.992331i | ||||
\(872\) | −7.46888 | + | 6.72501i | −0.252928 | + | 0.227738i | ||||
\(873\) | −8.60226 | + | 9.35532i | −0.291142 | + | 0.316630i | ||||
\(874\) | 2.41035 | − | 1.75122i | 0.0815314 | − | 0.0592361i | ||||
\(875\) | 29.8493 | + | 0.00770316i | 1.00909 | + | 0.000260414i | ||||
\(876\) | −1.64538 | − | 5.15544i | −0.0555922 | − | 0.174186i | ||||
\(877\) | −11.9476 | − | 56.2092i | −0.403443 | − | 1.89805i | −0.438627 | − | 0.898669i | \(-0.644535\pi\) |
0.0351841 | − | 0.999381i | \(-0.488798\pi\) | |||||||
\(878\) | −1.58002 | − | 3.54878i | −0.0533230 | − | 0.119765i | ||||
\(879\) | −4.61586 | − | 2.69722i | −0.155689 | − | 0.0909749i | ||||
\(880\) | 4.55231 | + | 1.01603i | 0.153458 | + | 0.0342503i | ||||
\(881\) | 4.45958i | 0.150247i | 0.997174 | + | 0.0751236i | \(0.0239351\pi\) | ||||
−0.997174 | + | 0.0751236i | \(0.976065\pi\) | |||||||
\(882\) | 13.8798 | + | 15.7592i | 0.467357 | + | 0.530639i | ||||
\(883\) | −17.0836 | + | 52.5780i | −0.574910 | + | 1.76939i | 0.0615754 | + | 0.998102i | \(0.480388\pi\) |
−0.636485 | + | 0.771289i | \(0.719612\pi\) | |||||||
\(884\) | −11.7135 | − | 10.5469i | −0.393967 | − | 0.354729i | ||||
\(885\) | 23.7335 | − | 2.36919i | 0.797791 | − | 0.0796396i | ||||
\(886\) | 18.3744 | − | 1.93122i | 0.617299 | − | 0.0648808i | ||||
\(887\) | −11.1523 | + | 12.3859i | −0.374457 | + | 0.415876i | −0.900689 | − | 0.434465i | \(-0.856938\pi\) |
0.526232 | + | 0.850341i | \(0.323604\pi\) | |||||||
\(888\) | −9.75198 | − | 3.22503i | −0.327255 | − | 0.108225i | ||||
\(889\) | 14.7715 | + | 45.5020i | 0.495421 | + | 1.52609i | ||||
\(890\) | −3.07208 | −0.102976 | ||||||||
\(891\) | −11.2886 | − | 27.6327i | −0.378181 | − | 0.925732i | ||||
\(892\) | 6.10605 | − | 10.5760i | 0.204446 | − | 0.354110i | ||||
\(893\) | −6.66981 | + | 2.96959i | −0.223197 | + | 0.0993735i | ||||
\(894\) | 6.80837 | + | 32.8744i | 0.227706 | + | 1.09949i | ||||
\(895\) | 8.27261 | + | 25.4605i | 0.276523 | + | 0.851050i | ||||
\(896\) | 2.29163 | − | 1.32228i | 0.0765580 | − | 0.0441744i | ||||
\(897\) | −13.9375 | − | 19.3955i | −0.465358 | − | 0.647598i | ||||
\(898\) | 20.1040 | + | 18.1017i | 0.670879 | + | 0.604062i | ||||
\(899\) | −0.303986 | − | 0.337610i | −0.0101385 | − | 0.0112599i | ||||
\(900\) | −8.32081 | + | 3.60097i | −0.277360 | + | 0.120032i | ||||
\(901\) | 1.15987 | − | 0.669649i | 0.0386408 | − | 0.0223093i | ||||
\(902\) | 7.31033 | + | 36.1952i | 0.243407 | + | 1.20517i | ||||
\(903\) | −12.5525 | − | 28.6144i | −0.417719 | − | 0.952229i | ||||
\(904\) | −2.73418 | + | 3.76327i | −0.0909374 | + | 0.125165i | ||||
\(905\) | 5.91655 | + | 27.8352i | 0.196673 | + | 0.925273i | ||||
\(906\) | 34.2533 | + | 7.46801i | 1.13799 | + | 0.248108i | ||||
\(907\) | 1.32831 | + | 12.6380i | 0.0441058 | + | 0.419638i | 0.994190 | + | 0.107644i | \(0.0343305\pi\) |
−0.950084 | + | 0.311995i | \(0.899003\pi\) | |||||||
\(908\) | 13.0667 | + | 5.81765i | 0.433633 | + | 0.193066i | ||||
\(909\) | −1.18109 | − | 3.76856i | −0.0391744 | − | 0.124995i | ||||
\(910\) | 18.2757 | − | 1.91609i | 0.605834 | − | 0.0635176i | ||||
\(911\) | −3.64206 | + | 5.01287i | −0.120667 | + | 0.166084i | −0.865077 | − | 0.501639i | \(-0.832731\pi\) |
0.744410 | + | 0.667723i | \(0.232731\pi\) | |||||||
\(912\) | −0.915721 | − | 1.60539i | −0.0303225 | − | 0.0531596i | ||||
\(913\) | 37.7016 | + | 12.6745i | 1.24774 | + | 0.419466i | ||||
\(914\) | −7.60161 | − | 4.38879i | −0.251439 | − | 0.145168i | ||||
\(915\) | −18.6875 | − | 2.06290i | −0.617791 | − | 0.0681975i | ||||
\(916\) | −5.89093 | + | 18.1304i | −0.194642 | + | 0.599046i | ||||
\(917\) | −11.0286 | − | 51.9513i | −0.364196 | − | 1.71558i | ||||
\(918\) | −9.53631 | − | 13.5678i | −0.314745 | − | 0.447804i | ||||
\(919\) | 11.3431 | − | 25.4769i | 0.374173 | − | 0.840406i | −0.624082 | − | 0.781359i | \(-0.714527\pi\) |
0.998255 | − | 0.0590477i | \(-0.0188064\pi\) | |||||||
\(920\) | 3.84090 | + | 0.816409i | 0.126631 | + | 0.0269162i | ||||
\(921\) | −21.0256 | − | 23.5981i | −0.692818 | − | 0.777583i | ||||
\(922\) | 1.71560 | − | 16.3228i | 0.0565002 | − | 0.537564i | ||||
\(923\) | 8.48911 | 0.279423 | ||||||||
\(924\) | 11.1345 | + | 10.3452i | 0.366297 | + | 0.340333i | ||||
\(925\) | −17.9222 | −0.589279 | ||||||||
\(926\) | 0.890386 | − | 8.47145i | 0.0292599 | − | 0.278389i | ||||
\(927\) | −28.2971 | − | 32.0952i | −0.929398 | − | 1.05415i | ||||
\(928\) | 0.511755 | + | 0.108777i | 0.0167992 | + | 0.00357078i | ||||
\(929\) | 7.37967 | − | 16.5750i | 0.242119 | − | 0.543808i | −0.751083 | − | 0.660207i | \(-0.770468\pi\) |
0.993203 | + | 0.116399i | \(0.0371351\pi\) | |||||||
\(930\) | −1.71765 | + | 1.23428i | −0.0563238 | + | 0.0404738i | ||||
\(931\) | −3.04159 | + | 6.82204i | −0.0996841 | + | 0.223583i | ||||
\(932\) | −2.13275 | + | 6.56394i | −0.0698607 | + | 0.215009i | ||||
\(933\) | −2.27577 | + | 20.6158i | −0.0745052 | + | 0.674932i | ||||
\(934\) | −30.2477 | − | 17.4635i | −0.989736 | − | 0.571424i | ||||
\(935\) | 4.45624 | + | 14.2039i | 0.145735 | + | 0.464517i | ||||
\(936\) | −12.9077 | + | 7.27349i | −0.421900 | + | 0.237742i | ||||
\(937\) | −12.2132 | + | 16.8101i | −0.398989 | + | 0.549161i | −0.960490 | − | 0.278315i | \(-0.910224\pi\) |
0.561501 | + | 0.827476i | \(0.310224\pi\) | |||||||
\(938\) | 10.0912 | + | 13.8968i | 0.329488 | + | 0.453748i | ||||
\(939\) | −47.3612 | + | 15.1155i | −1.54558 | + | 0.493276i | ||||
\(940\) | −8.79061 | − | 3.91383i | −0.286718 | − | 0.127655i | ||||
\(941\) | −3.35309 | − | 31.9025i | −0.109307 | − | 1.03999i | −0.902403 | − | 0.430894i | \(-0.858198\pi\) |
0.793095 | − | 0.609098i | \(-0.208468\pi\) | |||||||
\(942\) | −5.35922 | + | 24.5810i | −0.174613 | + | 0.800891i | ||||
\(943\) | 6.46327 | + | 30.4073i | 0.210473 | + | 0.990198i | ||||
\(944\) | 5.75546 | − | 7.92172i | 0.187324 | − | 0.257830i | ||||
\(945\) | 19.1935 | + | 2.32701i | 0.624364 | + | 0.0756977i | ||||
\(946\) | −11.1079 | − | 19.6986i | −0.361150 | − | 0.640457i | ||||
\(947\) | 3.17025 | − | 1.83034i | 0.103019 | − | 0.0594781i | −0.447605 | − | 0.894231i | \(-0.647723\pi\) |
0.550624 | + | 0.834753i | \(0.314390\pi\) | |||||||
\(948\) | 12.3725 | − | 5.43134i | 0.401841 | − | 0.176402i | ||||
\(949\) | −10.3249 | − | 11.4670i | −0.335161 | − | 0.372234i | ||||
\(950\) | −2.39653 | − | 2.15784i | −0.0777536 | − | 0.0700096i | ||||
\(951\) | −17.3313 | + | 12.4541i | −0.562007 | + | 0.403853i | ||||
\(952\) | 7.31173 | + | 4.22394i | 0.236974 | + | 0.136899i | ||||
\(953\) | −6.93199 | − | 21.3345i | −0.224549 | − | 0.691091i | −0.998337 | − | 0.0576463i | \(-0.981640\pi\) |
0.773788 | − | 0.633445i | \(-0.218360\pi\) | |||||||
\(954\) | −0.248861 | − | 1.23406i | −0.00805717 | − | 0.0399543i | ||||
\(955\) | −5.24327 | + | 2.33445i | −0.169668 | + | 0.0755412i | ||||
\(956\) | 14.3135 | − | 24.7917i | 0.462931 | − | 0.801820i | ||||
\(957\) | 0.268167 | + | 2.99350i | 0.00866860 | + | 0.0967661i | ||||
\(958\) | −10.3988 | −0.335971 | ||||||||
\(959\) | 12.7241 | + | 2.70802i | 0.410882 | + | 0.0874466i | ||||
\(960\) | 0.764815 | − | 2.31268i | 0.0246843 | − | 0.0746413i | ||||
\(961\) | −20.2385 | + | 22.4772i | −0.652856 | + | 0.725070i | ||||
\(962\) | −29.1267 | + | 3.06134i | −0.939082 | + | 0.0987015i | ||||
\(963\) | 3.55839 | + | 37.6345i | 0.114668 | + | 1.21275i | ||||
\(964\) | 13.5022 | + | 12.1575i | 0.434878 | + | 0.391566i | ||||
\(965\) | 0.370669 | − | 1.14080i | 0.0119323 | − | 0.0367237i | ||||
\(966\) | 9.46160 | + | 8.61365i | 0.304422 | + | 0.277140i | ||||
\(967\) | 39.3163i | 1.26433i | 0.774835 | + | 0.632164i | \(0.217833\pi\) | ||||
−0.774835 | + | 0.632164i | \(0.782167\pi\) | |||||||
\(968\) | 8.76610 | + | 6.64496i | 0.281753 | + | 0.213577i | ||||
\(969\) | 2.97597 | − | 5.09290i | 0.0956019 | − | 0.163607i | ||||
\(970\) | −2.42325 | − | 5.44271i | −0.0778059 | − | 0.174755i | ||||
\(971\) | 1.23429 | + | 5.80686i | 0.0396101 | + | 0.186351i | 0.993505 | − | 0.113791i | \(-0.0362993\pi\) |
−0.953895 | + | 0.300142i | \(0.902966\pi\) | |||||||
\(972\) | −14.9463 | + | 4.42823i | −0.479402 | + | 0.142036i | ||||
\(973\) | −60.1120 | − | 0.0155130i | −1.92710 | − | 0.000497325i | ||||
\(974\) | 27.0313 | − | 19.6394i | 0.866139 | − | 0.629287i | ||||
\(975\) | −17.3983 | + | 19.1210i | −0.557193 | + | 0.612361i | ||||
\(976\) | −5.73592 | + | 5.16465i | −0.183602 | + | 0.165316i | ||||
\(977\) | −2.39589 | − | 5.38126i | −0.0766513 | − | 0.172162i | 0.871155 | − | 0.491008i | \(-0.163371\pi\) |
−0.947807 | + | 0.318846i | \(0.896705\pi\) | |||||||
\(978\) | −35.7198 | + | 20.3748i | −1.14219 | + | 0.651513i | ||||
\(979\) | −6.58836 | − | 3.01383i | −0.210565 | − | 0.0963224i | ||||
\(980\) | −9.36416 | + | 3.03726i | −0.299127 | + | 0.0970217i | ||||
\(981\) | −17.9763 | + | 24.2063i | −0.573938 | + | 0.772846i | ||||
\(982\) | −0.00463429 | 0.000985049i | −0.000147886 | 3.14342e-5i | ||||||
\(983\) | 6.26921 | − | 29.4943i | 0.199957 | − | 0.940723i | −0.757654 | − | 0.652657i | \(-0.773654\pi\) |
0.957611 | − | 0.288066i | \(-0.0930123\pi\) | |||||||
\(984\) | 19.1886 | − | 1.91551i | 0.611711 | − | 0.0610641i | ||||
\(985\) | 0.323627 | − | 0.726879i | 0.0103116 | − | 0.0231603i | ||||
\(986\) | 0.515995 | + | 1.58807i | 0.0164326 | + | 0.0505744i | ||||
\(987\) | −18.2907 | − | 25.4674i | −0.582198 | − | 0.810636i | ||||
\(988\) | −4.26335 | − | 3.09751i | −0.135635 | − | 0.0985448i | ||||
\(989\) | −9.51919 | − | 16.4877i | −0.302693 | − | 0.524279i | ||||
\(990\) | 13.9900 | + | 0.288228i | 0.444631 | + | 0.00916050i | ||||
\(991\) | 10.6164 | − | 18.3881i | 0.337241 | − | 0.584118i | −0.646672 | − | 0.762768i | \(-0.723840\pi\) |
0.983913 | + | 0.178650i | \(0.0571730\pi\) | |||||||
\(992\) | −0.0907651 | + | 0.863572i | −0.00288179 | + | 0.0274184i | ||||
\(993\) | 24.3183 | + | 8.04221i | 0.771719 | + | 0.255212i | ||||
\(994\) | −4.44869 | + | 0.944399i | −0.141104 | + | 0.0299545i | ||||
\(995\) | −8.06474 | − | 11.1002i | −0.255669 | − | 0.351899i | ||||
\(996\) | 8.54770 | − | 18.9316i | 0.270844 | − | 0.599872i | ||||
\(997\) | −0.0409410 | + | 0.192612i | −0.00129661 | + | 0.00610009i | −0.978791 | − | 0.204861i | \(-0.934326\pi\) |
0.977495 | + | 0.210961i | \(0.0676592\pi\) | |||||||
\(998\) | −11.6224 | − | 12.9080i | −0.367900 | − | 0.408594i | ||||
\(999\) | −30.5912 | − | 3.70085i | −0.967862 | − | 0.117090i |
(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 | 462.2.bc.b.95.4 | yes | 128 | |
3.2 | odd | 2 | 462.2.bc.a.95.13 | ✓ | 128 | ||
7.2 | even | 3 | inner | 462.2.bc.b.359.8 | yes | 128 | |
11.8 | odd | 10 | 462.2.bc.a.305.10 | yes | 128 | ||
21.2 | odd | 6 | 462.2.bc.a.359.10 | yes | 128 | ||
33.8 | even | 10 | inner | 462.2.bc.b.305.8 | yes | 128 | |
77.30 | odd | 30 | 462.2.bc.a.107.13 | yes | 128 | ||
231.107 | even | 30 | inner | 462.2.bc.b.107.4 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bc.a.95.13 | ✓ | 128 | 3.2 | odd | 2 | ||
462.2.bc.a.107.13 | yes | 128 | 77.30 | odd | 30 | ||
462.2.bc.a.305.10 | yes | 128 | 11.8 | odd | 10 | ||
462.2.bc.a.359.10 | yes | 128 | 21.2 | odd | 6 | ||
462.2.bc.b.95.4 | yes | 128 | 1.1 | even | 1 | trivial | |
462.2.bc.b.107.4 | yes | 128 | 231.107 | even | 30 | inner | |
462.2.bc.b.305.8 | yes | 128 | 33.8 | even | 10 | inner | |
462.2.bc.b.359.8 | yes | 128 | 7.2 | even | 3 | inner |