Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [62,2,Mod(7,62)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(62, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("62.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 62 = 2 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 62.g (of order \(15\), 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: | \(0.495072492532\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Root | \(-0.104528 - 0.994522i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 62.49 |
Dual form | 62.2.g.a.19.1 |
$q$-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 \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | 1.47815 | − | 0.658114i | 0.853409 | − | 0.379962i | 0.0670631 | − | 0.997749i | \(-0.478637\pi\) |
0.786346 | + | 0.617787i | \(0.211970\pi\) | |||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −0.204489 | − | 0.354185i | −0.0914501 | − | 0.158396i | 0.816671 | − | 0.577103i | \(-0.195817\pi\) |
−0.908121 | + | 0.418707i | \(0.862484\pi\) | |||||||
\(6\) | −0.809017 | + | 1.40126i | −0.330280 | + | 0.572061i | ||||
\(7\) | 0.809017 | + | 0.898504i | 0.305780 | + | 0.339603i | 0.876376 | − | 0.481628i | \(-0.159954\pi\) |
−0.570596 | + | 0.821231i | \(0.693288\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | −0.255585 | + | 0.283856i | −0.0851950 | + | 0.0946187i | ||||
\(10\) | 0.373619 | + | 0.166346i | 0.118149 | + | 0.0526032i | ||||
\(11\) | −2.41355 | + | 0.513015i | −0.727711 | + | 0.154680i | −0.556847 | − | 0.830615i | \(-0.687989\pi\) |
−0.170864 | + | 0.985295i | \(0.554656\pi\) | |||||||
\(12\) | −0.169131 | − | 1.60917i | −0.0488238 | − | 0.464527i | ||||
\(13\) | 0.199920 | − | 1.90211i | 0.0554479 | − | 0.527551i | −0.931180 | − | 0.364560i | \(-0.881219\pi\) |
0.986628 | − | 0.162991i | \(-0.0521141\pi\) | |||||||
\(14\) | −1.18264 | − | 0.251377i | −0.316073 | − | 0.0671833i | ||||
\(15\) | −0.535358 | − | 0.388960i | −0.138229 | − | 0.100429i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −7.88696 | − | 1.67642i | −1.91287 | − | 0.406593i | −0.912870 | − | 0.408250i | \(-0.866139\pi\) |
−0.999999 | + | 0.00165751i | \(0.999472\pi\) | |||||||
\(18\) | 0.0399263 | − | 0.379874i | 0.00941072 | − | 0.0895371i | ||||
\(19\) | −0.0307895 | − | 0.292943i | −0.00706360 | − | 0.0672057i | 0.990422 | − | 0.138072i | \(-0.0440904\pi\) |
−0.997486 | + | 0.0708659i | \(0.977424\pi\) | |||||||
\(20\) | −0.400040 | + | 0.0850311i | −0.0894516 | + | 0.0190135i | ||||
\(21\) | 1.78716 | + | 0.795697i | 0.389991 | + | 0.173635i | ||||
\(22\) | 1.65106 | − | 1.83368i | 0.352006 | − | 0.390943i | ||||
\(23\) | 1.96698 | + | 6.05373i | 0.410143 | + | 1.26229i | 0.916524 | + | 0.399981i | \(0.130983\pi\) |
−0.506380 | + | 0.862310i | \(0.669017\pi\) | |||||||
\(24\) | 1.08268 | + | 1.20243i | 0.221000 | + | 0.245446i | ||||
\(25\) | 2.41637 | − | 4.18527i | 0.483274 | − | 0.837055i | ||||
\(26\) | 0.956295 | + | 1.65635i | 0.187545 | + | 0.324837i | ||||
\(27\) | −1.69098 | + | 5.20431i | −0.325430 | + | 1.00157i | ||||
\(28\) | 1.10453 | − | 0.491768i | 0.208736 | − | 0.0929354i | ||||
\(29\) | 7.56444 | − | 5.49589i | 1.40468 | − | 1.02056i | 0.410612 | − | 0.911810i | \(-0.365315\pi\) |
0.994069 | − | 0.108750i | \(-0.0346848\pi\) | |||||||
\(30\) | 0.661739 | 0.120816 | ||||||||
\(31\) | 3.20731 | + | 4.55117i | 0.576050 | + | 0.817414i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −3.22995 | + | 2.34670i | −0.562263 | + | 0.408508i | ||||
\(34\) | 7.36606 | − | 3.27958i | 1.26327 | − | 0.562444i | ||||
\(35\) | 0.152802 | − | 0.470275i | 0.0258282 | − | 0.0794910i | ||||
\(36\) | 0.190983 | + | 0.330792i | 0.0318305 | + | 0.0551320i | ||||
\(37\) | −2.71878 | + | 4.70907i | −0.446965 | + | 0.774167i | −0.998187 | − | 0.0601923i | \(-0.980829\pi\) |
0.551221 | + | 0.834359i | \(0.314162\pi\) | |||||||
\(38\) | 0.197097 | + | 0.218898i | 0.0319733 | + | 0.0355100i | ||||
\(39\) | −0.956295 | − | 2.94317i | −0.153130 | − | 0.471285i | ||||
\(40\) | 0.273659 | − | 0.303929i | 0.0432693 | − | 0.0480554i | ||||
\(41\) | −1.97124 | − | 0.877654i | −0.307857 | − | 0.137067i | 0.246993 | − | 0.969017i | \(-0.420558\pi\) |
−0.554850 | + | 0.831951i | \(0.687224\pi\) | |||||||
\(42\) | −1.91355 | + | 0.406737i | −0.295266 | + | 0.0627608i | ||||
\(43\) | −0.558955 | − | 5.31810i | −0.0852399 | − | 0.811003i | −0.950718 | − | 0.310057i | \(-0.899652\pi\) |
0.865478 | − | 0.500947i | \(-0.167015\pi\) | |||||||
\(44\) | −0.257920 | + | 2.45395i | −0.0388830 | + | 0.369947i | ||||
\(45\) | 0.152802 | + | 0.0324790i | 0.0227783 | + | 0.00484168i | ||||
\(46\) | −5.14961 | − | 3.74141i | −0.759269 | − | 0.551641i | ||||
\(47\) | 1.19837 | + | 0.870670i | 0.174801 | + | 0.127000i | 0.671746 | − | 0.740782i | \(-0.265545\pi\) |
−0.496945 | + | 0.867782i | \(0.665545\pi\) | |||||||
\(48\) | −1.58268 | − | 0.336408i | −0.228440 | − | 0.0485563i | ||||
\(49\) | 0.578898 | − | 5.50784i | 0.0826997 | − | 0.786835i | ||||
\(50\) | 0.505159 | + | 4.80626i | 0.0714402 | + | 0.679708i | ||||
\(51\) | −12.7614 | + | 2.71251i | −1.78695 | + | 0.379828i | ||||
\(52\) | −1.74724 | − | 0.777921i | −0.242298 | − | 0.107878i | ||||
\(53\) | 1.93589 | − | 2.15002i | 0.265914 | − | 0.295328i | −0.595369 | − | 0.803452i | \(-0.702994\pi\) |
0.861284 | + | 0.508124i | \(0.169661\pi\) | |||||||
\(54\) | −1.69098 | − | 5.20431i | −0.230114 | − | 0.708217i | ||||
\(55\) | 0.675244 | + | 0.749935i | 0.0910499 | + | 0.101121i | ||||
\(56\) | −0.604528 | + | 1.04707i | −0.0807835 | + | 0.139921i | ||||
\(57\) | −0.238301 | − | 0.412750i | −0.0315638 | − | 0.0546700i | ||||
\(58\) | −2.88936 | + | 8.89253i | −0.379391 | + | 1.16765i | ||||
\(59\) | 8.67081 | − | 3.86049i | 1.12884 | − | 0.502594i | 0.244602 | − | 0.969624i | \(-0.421343\pi\) |
0.884241 | + | 0.467030i | \(0.154676\pi\) | |||||||
\(60\) | −0.535358 | + | 0.388960i | −0.0691144 | + | 0.0502146i | ||||
\(61\) | 1.44704 | 0.185274 | 0.0926369 | − | 0.995700i | \(-0.470470\pi\) | ||||
0.0926369 | + | 0.995700i | \(0.470470\pi\) | |||||||
\(62\) | −5.26988 | − | 1.79676i | −0.669276 | − | 0.228189i | ||||
\(63\) | −0.461819 | −0.0581837 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −0.714580 | + | 0.318152i | −0.0886328 | + | 0.0394619i | ||||
\(66\) | 1.23373 | − | 3.79704i | 0.151862 | − | 0.467383i | ||||
\(67\) | 4.02090 | + | 6.96440i | 0.491231 | + | 0.850837i | 0.999949 | − | 0.0100964i | \(-0.00321383\pi\) |
−0.508718 | + | 0.860933i | \(0.669880\pi\) | |||||||
\(68\) | −4.03158 | + | 6.98290i | −0.488901 | + | 0.846801i | ||||
\(69\) | 6.89153 | + | 7.65382i | 0.829642 | + | 0.921411i | ||||
\(70\) | 0.152802 | + | 0.470275i | 0.0182633 | + | 0.0562086i | ||||
\(71\) | 5.51206 | − | 6.12177i | 0.654161 | − | 0.726520i | −0.321230 | − | 0.947001i | \(-0.604096\pi\) |
0.975391 | + | 0.220481i | \(0.0707628\pi\) | |||||||
\(72\) | −0.348943 | − | 0.155360i | −0.0411234 | − | 0.0183093i | ||||
\(73\) | −6.70528 | + | 1.42525i | −0.784793 | + | 0.166813i | −0.582845 | − | 0.812583i | \(-0.698061\pi\) |
−0.201948 | + | 0.979396i | \(0.564727\pi\) | |||||||
\(74\) | −0.568381 | − | 5.40778i | −0.0660729 | − | 0.628642i | ||||
\(75\) | 0.817364 | − | 7.77670i | 0.0943810 | − | 0.897976i | ||||
\(76\) | −0.288120 | − | 0.0612417i | −0.0330496 | − | 0.00702491i | ||||
\(77\) | −2.41355 | − | 1.75354i | −0.275049 | − | 0.199835i | ||||
\(78\) | 2.50361 | + | 1.81898i | 0.283478 | + | 0.205959i | ||||
\(79\) | −5.91414 | − | 1.25709i | −0.665392 | − | 0.141433i | −0.137180 | − | 0.990546i | \(-0.543804\pi\) |
−0.528212 | + | 0.849113i | \(0.677137\pi\) | |||||||
\(80\) | −0.0427497 | + | 0.406737i | −0.00477957 | + | 0.0454745i | ||||
\(81\) | 0.805727 | + | 7.66598i | 0.0895252 | + | 0.851775i | ||||
\(82\) | 2.11064 | − | 0.448631i | 0.233081 | − | 0.0495430i | ||||
\(83\) | −4.61797 | − | 2.05605i | −0.506888 | − | 0.225681i | 0.137327 | − | 0.990526i | \(-0.456149\pi\) |
−0.644215 | + | 0.764845i | \(0.722816\pi\) | |||||||
\(84\) | 1.30902 | − | 1.45381i | 0.142825 | − | 0.158624i | ||||
\(85\) | 1.01903 | + | 3.13625i | 0.110529 | + | 0.340174i | ||||
\(86\) | 3.57811 | + | 3.97389i | 0.385837 | + | 0.428516i | ||||
\(87\) | 7.56444 | − | 13.1020i | 0.810993 | − | 1.40468i | ||||
\(88\) | −1.23373 | − | 2.13689i | −0.131516 | − | 0.227793i | ||||
\(89\) | −0.362449 | + | 1.11550i | −0.0384195 | + | 0.118243i | −0.968427 | − | 0.249298i | \(-0.919800\pi\) |
0.930007 | + | 0.367541i | \(0.119800\pi\) | |||||||
\(90\) | −0.142710 | + | 0.0635385i | −0.0150429 | + | 0.00669755i | ||||
\(91\) | 1.87080 | − | 1.35921i | 0.196113 | − | 0.142484i | ||||
\(92\) | 6.36527 | 0.663626 | ||||||||
\(93\) | 7.73607 | + | 4.61653i | 0.802193 | + | 0.478711i | ||||
\(94\) | −1.48127 | −0.152782 | ||||||||
\(95\) | −0.0974597 | + | 0.0708086i | −0.00999915 | + | 0.00726481i | ||||
\(96\) | 1.47815 | − | 0.658114i | 0.150863 | − | 0.0671684i | ||||
\(97\) | −3.44482 | + | 10.6021i | −0.349769 | + | 1.07648i | 0.609212 | + | 0.793007i | \(0.291486\pi\) |
−0.958981 | + | 0.283470i | \(0.908514\pi\) | |||||||
\(98\) | 2.76909 | + | 4.79621i | 0.279720 | + | 0.484490i | ||||
\(99\) | 0.471244 | − | 0.816219i | 0.0473618 | − | 0.0820330i | ||||
\(100\) | −3.23373 | − | 3.59142i | −0.323373 | − | 0.359142i | ||||
\(101\) | −1.74064 | − | 5.35713i | −0.173200 | − | 0.533054i | 0.826347 | − | 0.563161i | \(-0.190415\pi\) |
−0.999547 | + | 0.0301073i | \(0.990415\pi\) | |||||||
\(102\) | 8.72979 | − | 9.69541i | 0.864378 | − | 0.959989i | ||||
\(103\) | −14.7252 | − | 6.55609i | −1.45092 | − | 0.645991i | −0.478258 | − | 0.878219i | \(-0.658732\pi\) |
−0.972661 | + | 0.232229i | \(0.925398\pi\) | |||||||
\(104\) | 1.87080 | − | 0.397650i | 0.183447 | − | 0.0389928i | ||||
\(105\) | −0.0836311 | − | 0.795697i | −0.00816156 | − | 0.0776521i | ||||
\(106\) | −0.302415 | + | 2.87729i | −0.0293732 | + | 0.279467i | ||||
\(107\) | 11.7747 | + | 2.50278i | 1.13830 | + | 0.241953i | 0.738242 | − | 0.674536i | \(-0.235656\pi\) |
0.400059 | + | 0.916489i | \(0.368990\pi\) | |||||||
\(108\) | 4.42705 | + | 3.21644i | 0.425993 | + | 0.309502i | ||||
\(109\) | 15.4704 | + | 11.2399i | 1.48180 | + | 1.07659i | 0.976972 | + | 0.213368i | \(0.0684434\pi\) |
0.504826 | + | 0.863221i | \(0.331557\pi\) | |||||||
\(110\) | −0.987085 | − | 0.209811i | −0.0941148 | − | 0.0200047i | ||||
\(111\) | −0.919659 | + | 8.74997i | −0.0872902 | + | 0.830511i | ||||
\(112\) | −0.126381 | − | 1.20243i | −0.0119419 | − | 0.113619i | ||||
\(113\) | −11.1384 | + | 2.36755i | −1.04782 | + | 0.222720i | −0.699482 | − | 0.714650i | \(-0.746586\pi\) |
−0.348334 | + | 0.937370i | \(0.613253\pi\) | |||||||
\(114\) | 0.435398 | + | 0.193852i | 0.0407787 | + | 0.0181559i | ||||
\(115\) | 1.74191 | − | 1.93459i | 0.162434 | − | 0.180402i | ||||
\(116\) | −2.88936 | − | 8.89253i | −0.268270 | − | 0.825651i | ||||
\(117\) | 0.488830 | + | 0.542900i | 0.0451923 | + | 0.0501912i | ||||
\(118\) | −4.74569 | + | 8.21978i | −0.436876 | + | 0.756692i | ||||
\(119\) | −4.87441 | − | 8.44272i | −0.446836 | − | 0.773943i | ||||
\(120\) | 0.204489 | − | 0.629351i | 0.0186672 | − | 0.0574516i | ||||
\(121\) | −4.48698 | + | 1.99773i | −0.407908 | + | 0.181612i | ||||
\(122\) | −1.17068 | + | 0.850546i | −0.105988 | + | 0.0770048i | ||||
\(123\) | −3.49139 | −0.314808 | ||||||||
\(124\) | 5.31953 | − | 1.64395i | 0.477708 | − | 0.147631i | ||||
\(125\) | −4.02136 | −0.359682 | ||||||||
\(126\) | 0.373619 | − | 0.271450i | 0.0332846 | − | 0.0241827i | ||||
\(127\) | −15.5012 | + | 6.90159i | −1.37551 | + | 0.612417i | −0.955470 | − | 0.295089i | \(-0.904651\pi\) |
−0.420041 | + | 0.907505i | \(0.637984\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | −4.32614 | − | 7.49309i | −0.380895 | − | 0.659730i | ||||
\(130\) | 0.391103 | − | 0.677410i | 0.0343020 | − | 0.0594128i | ||||
\(131\) | 10.0287 | + | 11.1380i | 0.876211 | + | 0.973131i | 0.999816 | − | 0.0192007i | \(-0.00611214\pi\) |
−0.123605 | + | 0.992332i | \(0.539445\pi\) | |||||||
\(132\) | 1.23373 | + | 3.79704i | 0.107383 | + | 0.330490i | ||||
\(133\) | 0.238301 | − | 0.264660i | 0.0206633 | − | 0.0229490i | ||||
\(134\) | −7.34655 | − | 3.27089i | −0.634645 | − | 0.282562i | ||||
\(135\) | 2.18907 | − | 0.465302i | 0.188405 | − | 0.0400468i | ||||
\(136\) | −0.842830 | − | 8.01899i | −0.0722720 | − | 0.687623i | ||||
\(137\) | 1.01982 | − | 9.70293i | 0.0871290 | − | 0.828977i | −0.860467 | − | 0.509506i | \(-0.829828\pi\) |
0.947596 | − | 0.319471i | \(-0.103505\pi\) | |||||||
\(138\) | −10.0742 | − | 2.14133i | −0.857570 | − | 0.182282i | ||||
\(139\) | −15.8370 | − | 11.5062i | −1.34327 | − | 0.975946i | −0.999317 | − | 0.0369612i | \(-0.988232\pi\) |
−0.343958 | − | 0.938985i | \(-0.611768\pi\) | |||||||
\(140\) | −0.400040 | − | 0.290646i | −0.0338095 | − | 0.0245641i | ||||
\(141\) | 2.34437 | + | 0.498312i | 0.197432 | + | 0.0419655i | ||||
\(142\) | −0.861069 | + | 8.19252i | −0.0722593 | + | 0.687501i | ||||
\(143\) | 0.493296 | + | 4.69340i | 0.0412515 | + | 0.392482i | ||||
\(144\) | 0.373619 | − | 0.0794152i | 0.0311349 | − | 0.00661793i | ||||
\(145\) | −3.49340 | − | 1.55536i | −0.290111 | − | 0.129166i | ||||
\(146\) | 4.58694 | − | 5.09432i | 0.379618 | − | 0.421609i | ||||
\(147\) | −2.76909 | − | 8.52238i | −0.228391 | − | 0.702914i | ||||
\(148\) | 3.63844 | + | 4.04090i | 0.299078 | + | 0.332160i | ||||
\(149\) | −7.92640 | + | 13.7289i | −0.649356 | + | 1.12472i | 0.333921 | + | 0.942601i | \(0.391628\pi\) |
−0.983277 | + | 0.182116i | \(0.941705\pi\) | |||||||
\(150\) | 3.90977 | + | 6.77192i | 0.319231 | + | 0.552925i | ||||
\(151\) | 2.35634 | − | 7.25205i | 0.191756 | − | 0.590164i | −0.808243 | − | 0.588849i | \(-0.799581\pi\) |
0.999999 | − | 0.00131509i | \(-0.000418608\pi\) | |||||||
\(152\) | 0.269091 | − | 0.119807i | 0.0218261 | − | 0.00971762i | ||||
\(153\) | 2.49165 | − | 1.81029i | 0.201438 | − | 0.146353i | ||||
\(154\) | 2.98331 | 0.240402 | ||||||||
\(155\) | 0.956096 | − | 2.06664i | 0.0767954 | − | 0.165997i | ||||
\(156\) | −3.09464 | −0.247769 | ||||||||
\(157\) | 5.64051 | − | 4.09807i | 0.450162 | − | 0.327062i | −0.339498 | − | 0.940607i | \(-0.610257\pi\) |
0.789660 | + | 0.613545i | \(0.210257\pi\) | |||||||
\(158\) | 5.52353 | − | 2.45924i | 0.439429 | − | 0.195646i | ||||
\(159\) | 1.44657 | − | 4.45208i | 0.114720 | − | 0.353073i | ||||
\(160\) | −0.204489 | − | 0.354185i | −0.0161662 | − | 0.0280007i | ||||
\(161\) | −3.84799 | + | 6.66491i | −0.303264 | + | 0.525269i | ||||
\(162\) | −5.15780 | − | 5.72831i | −0.405235 | − | 0.450059i | ||||
\(163\) | 5.93414 | + | 18.2634i | 0.464798 | + | 1.43050i | 0.859237 | + | 0.511578i | \(0.170939\pi\) |
−0.394439 | + | 0.918922i | \(0.629061\pi\) | |||||||
\(164\) | −1.44385 | + | 1.60355i | −0.112745 | + | 0.125217i | ||||
\(165\) | 1.49165 | + | 0.664127i | 0.116125 | + | 0.0517022i | ||||
\(166\) | 4.94453 | − | 1.05099i | 0.383770 | − | 0.0815729i | ||||
\(167\) | 1.30810 | + | 12.4458i | 0.101224 | + | 0.963083i | 0.920780 | + | 0.390083i | \(0.127554\pi\) |
−0.819556 | + | 0.573000i | \(0.805780\pi\) | |||||||
\(168\) | −0.204489 | + | 1.94558i | −0.0157766 | + | 0.150105i | ||||
\(169\) | 9.13785 | + | 1.94231i | 0.702912 | + | 0.149409i | ||||
\(170\) | −2.66785 | − | 1.93831i | −0.204615 | − | 0.148661i | ||||
\(171\) | 0.0910229 | + | 0.0661320i | 0.00696070 | + | 0.00505724i | ||||
\(172\) | −5.23054 | − | 1.11179i | −0.398825 | − | 0.0847729i | ||||
\(173\) | 2.16712 | − | 20.6188i | 0.164763 | − | 1.56761i | −0.529762 | − | 0.848146i | \(-0.677719\pi\) |
0.694525 | − | 0.719469i | \(-0.255615\pi\) | |||||||
\(174\) | 1.58140 | + | 15.0460i | 0.119885 | + | 1.14063i | ||||
\(175\) | 5.71537 | − | 1.21484i | 0.432041 | − | 0.0918332i | ||||
\(176\) | 2.25414 | + | 1.00361i | 0.169912 | + | 0.0756498i | ||||
\(177\) | 10.2761 | − | 11.4128i | 0.772399 | − | 0.857836i | ||||
\(178\) | −0.362449 | − | 1.11550i | −0.0271667 | − | 0.0836105i | ||||
\(179\) | −1.14728 | − | 1.27418i | −0.0857516 | − | 0.0952368i | 0.698742 | − | 0.715374i | \(-0.253744\pi\) |
−0.784493 | + | 0.620137i | \(0.787077\pi\) | |||||||
\(180\) | 0.0781077 | − | 0.135286i | 0.00582180 | − | 0.0100837i | ||||
\(181\) | −2.68487 | − | 4.65033i | −0.199565 | − | 0.345656i | 0.748823 | − | 0.662770i | \(-0.230619\pi\) |
−0.948387 | + | 0.317114i | \(0.897286\pi\) | |||||||
\(182\) | −0.714580 | + | 2.19925i | −0.0529682 | + | 0.163019i | ||||
\(183\) | 2.13893 | − | 0.952314i | 0.158114 | − | 0.0703970i | ||||
\(184\) | −5.14961 | + | 3.74141i | −0.379635 | + | 0.275821i | ||||
\(185\) | 2.22384 | 0.163500 | ||||||||
\(186\) | −8.97214 | + | 0.812299i | −0.657869 | + | 0.0595607i | ||||
\(187\) | 19.8956 | 1.45491 | ||||||||
\(188\) | 1.19837 | − | 0.870670i | 0.0874005 | − | 0.0635002i | ||||
\(189\) | −6.04413 | + | 2.69102i | −0.439646 | + | 0.195743i | ||||
\(190\) | 0.0372263 | − | 0.114571i | 0.00270068 | − | 0.00831184i | ||||
\(191\) | 2.33672 | + | 4.04731i | 0.169079 | + | 0.292853i | 0.938096 | − | 0.346375i | \(-0.112587\pi\) |
−0.769017 | + | 0.639228i | \(0.779254\pi\) | |||||||
\(192\) | −0.809017 | + | 1.40126i | −0.0583858 | + | 0.101127i | ||||
\(193\) | 2.51416 | + | 2.79226i | 0.180973 | + | 0.200991i | 0.826805 | − | 0.562489i | \(-0.190156\pi\) |
−0.645832 | + | 0.763480i | \(0.723489\pi\) | |||||||
\(194\) | −3.44482 | − | 10.6021i | −0.247324 | − | 0.761185i | ||||
\(195\) | −0.846875 | + | 0.940550i | −0.0606460 | + | 0.0673542i | ||||
\(196\) | −5.05938 | − | 2.25258i | −0.361384 | − | 0.160899i | ||||
\(197\) | 10.8239 | − | 2.30069i | 0.771171 | − | 0.163917i | 0.194510 | − | 0.980901i | \(-0.437688\pi\) |
0.576662 | + | 0.816983i | \(0.304355\pi\) | |||||||
\(198\) | 0.0985168 | + | 0.937325i | 0.00700129 | + | 0.0666128i | ||||
\(199\) | 0.399942 | − | 3.80520i | 0.0283512 | − | 0.269743i | −0.971159 | − | 0.238434i | \(-0.923366\pi\) |
0.999510 | − | 0.0313088i | \(-0.00996754\pi\) | |||||||
\(200\) | 4.72713 | + | 1.00478i | 0.334259 | + | 0.0710489i | ||||
\(201\) | 10.5268 | + | 7.64820i | 0.742506 | + | 0.539463i | ||||
\(202\) | 4.55705 | + | 3.31089i | 0.320633 | + | 0.232953i | ||||
\(203\) | 11.0578 | + | 2.35042i | 0.776108 | + | 0.164967i | ||||
\(204\) | −1.36373 | + | 12.9750i | −0.0954800 | + | 0.908431i | ||||
\(205\) | 0.0922452 | + | 0.877654i | 0.00644268 | + | 0.0612980i | ||||
\(206\) | 15.7665 | − | 3.35128i | 1.09851 | − | 0.233495i | ||||
\(207\) | −2.22112 | − | 0.988906i | −0.154378 | − | 0.0687337i | ||||
\(208\) | −1.27977 | + | 1.42133i | −0.0887363 | + | 0.0985516i | ||||
\(209\) | 0.224596 | + | 0.691235i | 0.0155356 | + | 0.0478137i | ||||
\(210\) | 0.535358 | + | 0.594575i | 0.0369432 | + | 0.0410296i | ||||
\(211\) | −4.59773 | + | 7.96350i | −0.316521 | + | 0.548230i | −0.979760 | − | 0.200178i | \(-0.935848\pi\) |
0.663239 | + | 0.748408i | \(0.269181\pi\) | |||||||
\(212\) | −1.44657 | − | 2.50553i | −0.0993507 | − | 0.172080i | ||||
\(213\) | 4.11882 | − | 12.6764i | 0.282217 | − | 0.868575i | ||||
\(214\) | −10.9970 | + | 4.89618i | −0.751740 | + | 0.334696i | ||||
\(215\) | −1.76929 | + | 1.28546i | −0.120665 | + | 0.0876680i | ||||
\(216\) | −5.47214 | −0.372332 | ||||||||
\(217\) | −1.49448 | + | 6.56376i | −0.101452 | + | 0.445577i | ||||
\(218\) | −19.1225 | −1.29514 | ||||||||
\(219\) | −8.97341 | + | 6.51957i | −0.606367 | + | 0.440552i | ||||
\(220\) | 0.921892 | − | 0.410453i | 0.0621540 | − | 0.0276727i | ||||
\(221\) | −4.76551 | + | 14.6667i | −0.320563 | + | 0.986592i | ||||
\(222\) | −4.39908 | − | 7.61944i | −0.295247 | − | 0.511383i | ||||
\(223\) | 9.51929 | − | 16.4879i | 0.637459 | − | 1.10411i | −0.348530 | − | 0.937298i | \(-0.613319\pi\) |
0.985989 | − | 0.166813i | \(-0.0533477\pi\) | |||||||
\(224\) | 0.809017 | + | 0.898504i | 0.0540547 | + | 0.0600339i | ||||
\(225\) | 0.570427 | + | 1.75559i | 0.0380285 | + | 0.117040i | ||||
\(226\) | 7.61958 | − | 8.46240i | 0.506847 | − | 0.562910i | ||||
\(227\) | −11.5679 | − | 5.15034i | −0.767785 | − | 0.341840i | −0.0148112 | − | 0.999890i | \(-0.504715\pi\) |
−0.752974 | + | 0.658050i | \(0.771381\pi\) | |||||||
\(228\) | −0.466187 | + | 0.0990912i | −0.0308740 | + | 0.00656247i | ||||
\(229\) | −0.855359 | − | 8.13819i | −0.0565237 | − | 0.537787i | −0.985743 | − | 0.168258i | \(-0.946186\pi\) |
0.929219 | − | 0.369529i | \(-0.120481\pi\) | |||||||
\(230\) | −0.272114 | + | 2.58899i | −0.0179426 | + | 0.170713i | ||||
\(231\) | −4.72161 | − | 1.00361i | −0.310659 | − | 0.0660326i | ||||
\(232\) | 7.56444 | + | 5.49589i | 0.496630 | + | 0.360823i | ||||
\(233\) | −16.2543 | − | 11.8094i | −1.06485 | − | 0.773662i | −0.0898742 | − | 0.995953i | \(-0.528647\pi\) |
−0.974980 | + | 0.222291i | \(0.928647\pi\) | |||||||
\(234\) | −0.714580 | − | 0.151889i | −0.0467136 | − | 0.00992928i | ||||
\(235\) | 0.0633240 | − | 0.602488i | 0.00413080 | − | 0.0393020i | ||||
\(236\) | −0.992120 | − | 9.43939i | −0.0645815 | − | 0.614452i | ||||
\(237\) | −9.56927 | + | 2.03401i | −0.621591 | + | 0.132123i | ||||
\(238\) | 8.90599 | + | 3.96520i | 0.577289 | + | 0.257026i | ||||
\(239\) | −15.1603 | + | 16.8372i | −0.980639 | + | 1.08911i | 0.0153718 | + | 0.999882i | \(0.495107\pi\) |
−0.996011 | + | 0.0892285i | \(0.971560\pi\) | |||||||
\(240\) | 0.204489 | + | 0.629351i | 0.0131997 | + | 0.0406244i | ||||
\(241\) | −19.6300 | − | 21.8014i | −1.26448 | − | 1.40435i | −0.875582 | − | 0.483069i | \(-0.839522\pi\) |
−0.388899 | − | 0.921280i | \(-0.627145\pi\) | |||||||
\(242\) | 2.45581 | − | 4.25358i | 0.157865 | − | 0.273431i | ||||
\(243\) | −1.97214 | − | 3.41584i | −0.126513 | − | 0.219126i | ||||
\(244\) | 0.447158 | − | 1.37621i | 0.0286264 | − | 0.0881030i | ||||
\(245\) | −2.06917 | + | 0.921254i | −0.132194 | + | 0.0588568i | ||||
\(246\) | 2.82459 | − | 2.05219i | 0.180089 | − | 0.130843i | ||||
\(247\) | −0.563366 | −0.0358461 | ||||||||
\(248\) | −3.33731 | + | 4.45672i | −0.211919 | + | 0.283002i | ||||
\(249\) | −8.17916 | −0.518333 | ||||||||
\(250\) | 3.25335 | − | 2.36370i | 0.205760 | − | 0.149493i | ||||
\(251\) | −3.09703 | + | 1.37889i | −0.195483 | + | 0.0870347i | −0.502143 | − | 0.864784i | \(-0.667455\pi\) |
0.306660 | + | 0.951819i | \(0.400788\pi\) | |||||||
\(252\) | −0.142710 | + | 0.439216i | −0.00898987 | + | 0.0276680i | ||||
\(253\) | −7.85304 | − | 13.6019i | −0.493717 | − | 0.855142i | ||||
\(254\) | 8.48410 | − | 14.6949i | 0.532340 | − | 0.922039i | ||||
\(255\) | 3.57028 | + | 3.96520i | 0.223580 | + | 0.248311i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −11.0458 | + | 12.2676i | −0.689018 | + | 0.765232i | −0.981588 | − | 0.191012i | \(-0.938823\pi\) |
0.292570 | + | 0.956244i | \(0.405490\pi\) | |||||||
\(258\) | 7.90424 | + | 3.51920i | 0.492097 | + | 0.219096i | ||||
\(259\) | −6.43066 | + | 1.36688i | −0.399582 | + | 0.0849338i | ||||
\(260\) | 0.0817627 | + | 0.777921i | 0.00507071 | + | 0.0482446i | ||||
\(261\) | −0.373317 | + | 3.55188i | −0.0231078 | + | 0.219856i | ||||
\(262\) | −14.6601 | − | 3.11611i | −0.905706 | − | 0.192514i | ||||
\(263\) | 14.4809 | + | 10.5210i | 0.892931 | + | 0.648752i | 0.936641 | − | 0.350292i | \(-0.113918\pi\) |
−0.0437095 | + | 0.999044i | \(0.513918\pi\) | |||||||
\(264\) | −3.22995 | − | 2.34670i | −0.198790 | − | 0.144429i | ||||
\(265\) | −1.15737 | − | 0.246007i | −0.0710967 | − | 0.0151121i | ||||
\(266\) | −0.0372263 | + | 0.354185i | −0.00228249 | + | 0.0217164i | ||||
\(267\) | 0.198375 | + | 1.88741i | 0.0121403 | + | 0.115508i | ||||
\(268\) | 7.86606 | − | 1.67198i | 0.480496 | − | 0.102133i | ||||
\(269\) | 11.4771 | + | 5.10995i | 0.699773 | + | 0.311559i | 0.725609 | − | 0.688107i | \(-0.241558\pi\) |
−0.0258361 | + | 0.999666i | \(0.508225\pi\) | |||||||
\(270\) | −1.49750 | + | 1.66314i | −0.0911349 | + | 0.101216i | ||||
\(271\) | 3.36944 | + | 10.3701i | 0.204679 | + | 0.629936i | 0.999726 | + | 0.0233894i | \(0.00744576\pi\) |
−0.795048 | + | 0.606547i | \(0.792554\pi\) | |||||||
\(272\) | 5.39531 | + | 5.99209i | 0.327139 | + | 0.363324i | ||||
\(273\) | 1.87080 | − | 3.24031i | 0.113226 | − | 0.196113i | ||||
\(274\) | 4.87819 | + | 8.44927i | 0.294702 | + | 0.510439i | ||||
\(275\) | −3.68491 | + | 11.3410i | −0.222208 | + | 0.683887i | ||||
\(276\) | 9.40881 | − | 4.18907i | 0.566344 | − | 0.252153i | ||||
\(277\) | −10.8079 | + | 7.85240i | −0.649384 | + | 0.471805i | −0.863061 | − | 0.505099i | \(-0.831456\pi\) |
0.213678 | + | 0.976904i | \(0.431456\pi\) | |||||||
\(278\) | 19.5756 | 1.17407 | ||||||||
\(279\) | −2.11162 | − | 0.252797i | −0.126419 | − | 0.0151345i | ||||
\(280\) | 0.494477 | 0.0295506 | ||||||||
\(281\) | −3.47181 | + | 2.52242i | −0.207111 | + | 0.150475i | −0.686506 | − | 0.727125i | \(-0.740856\pi\) |
0.479395 | + | 0.877599i | \(0.340856\pi\) | |||||||
\(282\) | −2.18954 | + | 0.974846i | −0.130385 | + | 0.0580512i | ||||
\(283\) | 6.79798 | − | 20.9220i | 0.404098 | − | 1.24369i | −0.517548 | − | 0.855654i | \(-0.673155\pi\) |
0.921646 | − | 0.388032i | \(-0.126845\pi\) | |||||||
\(284\) | −4.11882 | − | 7.13401i | −0.244407 | − | 0.423326i | ||||
\(285\) | −0.0974597 | + | 0.168805i | −0.00577301 | + | 0.00999915i | ||||
\(286\) | −3.15780 | − | 3.50709i | −0.186724 | − | 0.207378i | ||||
\(287\) | −0.806194 | − | 2.48121i | −0.0475881 | − | 0.146461i | ||||
\(288\) | −0.255585 | + | 0.283856i | −0.0150605 | + | 0.0167264i | ||||
\(289\) | 43.8635 | + | 19.5293i | 2.58020 | + | 1.14878i | ||||
\(290\) | 3.74044 | − | 0.795054i | 0.219646 | − | 0.0466872i | ||||
\(291\) | 1.88541 | + | 17.9385i | 0.110525 | + | 1.05157i | ||||
\(292\) | −0.716551 | + | 6.81753i | −0.0419330 | + | 0.398966i | ||||
\(293\) | 12.4982 | + | 2.65657i | 0.730152 | + | 0.155199i | 0.557964 | − | 0.829865i | \(-0.311583\pi\) |
0.172189 | + | 0.985064i | \(0.444916\pi\) | |||||||
\(294\) | 7.24957 | + | 5.26712i | 0.422804 | + | 0.307185i | ||||
\(295\) | −3.14041 | − | 2.28164i | −0.182842 | − | 0.132842i | ||||
\(296\) | −5.31874 | − | 1.13053i | −0.309146 | − | 0.0657110i | ||||
\(297\) | 1.41138 | − | 13.4283i | 0.0818963 | − | 0.779191i | ||||
\(298\) | −1.65707 | − | 15.7660i | −0.0959914 | − | 0.913297i | ||||
\(299\) | 11.9081 | − | 2.53115i | 0.688665 | − | 0.146380i | ||||
\(300\) | −7.14350 | − | 3.18049i | −0.412430 | − | 0.183626i | ||||
\(301\) | 4.32614 | − | 4.80466i | 0.249354 | − | 0.276936i | ||||
\(302\) | 2.35634 | + | 7.25205i | 0.135592 | + | 0.417309i | ||||
\(303\) | −6.09852 | − | 6.77309i | −0.350351 | − | 0.389104i | ||||
\(304\) | −0.147278 | + | 0.255093i | −0.00844698 | + | 0.0146306i | ||||
\(305\) | −0.295902 | − | 0.512517i | −0.0169433 | − | 0.0293467i | ||||
\(306\) | −0.951727 | + | 2.92911i | −0.0544066 | + | 0.167446i | ||||
\(307\) | 8.24023 | − | 3.66879i | 0.470295 | − | 0.209389i | −0.157884 | − | 0.987458i | \(-0.550467\pi\) |
0.628179 | + | 0.778069i | \(0.283801\pi\) | |||||||
\(308\) | −2.41355 | + | 1.75354i | −0.137525 | + | 0.0999174i | ||||
\(309\) | −26.0807 | −1.48368 | ||||||||
\(310\) | 0.441244 | + | 2.23393i | 0.0250610 | + | 0.126879i | ||||
\(311\) | 8.73773 | 0.495471 | 0.247736 | − | 0.968828i | \(-0.420314\pi\) | ||||
0.247736 | + | 0.968828i | \(0.420314\pi\) | |||||||
\(312\) | 2.50361 | − | 1.81898i | 0.141739 | − | 0.102980i | ||||
\(313\) | 19.0583 | − | 8.48531i | 1.07724 | − | 0.479618i | 0.210099 | − | 0.977680i | \(-0.432621\pi\) |
0.867141 | + | 0.498062i | \(0.165955\pi\) | |||||||
\(314\) | −2.15448 | + | 6.63082i | −0.121585 | + | 0.374199i | ||||
\(315\) | 0.0944366 | + | 0.163569i | 0.00532090 | + | 0.00921607i | ||||
\(316\) | −3.02313 | + | 5.23622i | −0.170064 | + | 0.294560i | ||||
\(317\) | −14.1293 | − | 15.6922i | −0.793579 | − | 0.881359i | 0.201596 | − | 0.979469i | \(-0.435387\pi\) |
−0.995176 | + | 0.0981096i | \(0.968720\pi\) | |||||||
\(318\) | 1.44657 | + | 4.45208i | 0.0811195 | + | 0.249660i | ||||
\(319\) | −15.4376 | + | 17.1452i | −0.864342 | + | 0.959949i | ||||
\(320\) | 0.373619 | + | 0.166346i | 0.0208859 | + | 0.00929902i | ||||
\(321\) | 19.0518 | − | 4.04959i | 1.06337 | − | 0.226026i | ||||
\(322\) | −0.804449 | − | 7.65382i | −0.0448302 | − | 0.426531i | ||||
\(323\) | −0.248261 | + | 2.36204i | −0.0138136 | + | 0.131428i | ||||
\(324\) | 7.53976 | + | 1.60263i | 0.418876 | + | 0.0890348i | ||||
\(325\) | −7.47778 | − | 5.43293i | −0.414793 | − | 0.301365i | ||||
\(326\) | −15.5358 | − | 11.2874i | −0.860447 | − | 0.625152i | ||||
\(327\) | 30.2647 | + | 6.43296i | 1.67364 | + | 0.355744i | ||||
\(328\) | 0.225551 | − | 2.14597i | 0.0124540 | − | 0.118492i | ||||
\(329\) | 0.187205 | + | 1.78113i | 0.0103209 | + | 0.0981970i | ||||
\(330\) | −1.59714 | + | 0.339482i | −0.0879195 | + | 0.0186879i | ||||
\(331\) | −25.1679 | − | 11.2055i | −1.38336 | − | 0.615910i | −0.425974 | − | 0.904735i | \(-0.640068\pi\) |
−0.957382 | + | 0.288826i | \(0.906735\pi\) | |||||||
\(332\) | −3.38245 | + | 3.75660i | −0.185636 | + | 0.206170i | ||||
\(333\) | −0.641818 | − | 1.97531i | −0.0351714 | − | 0.108246i | ||||
\(334\) | −8.37372 | − | 9.29996i | −0.458190 | − | 0.508871i | ||||
\(335\) | 1.64445 | − | 2.84828i | 0.0898462 | − | 0.155618i | ||||
\(336\) | −0.978148 | − | 1.69420i | −0.0533623 | − | 0.0924263i | ||||
\(337\) | 1.20341 | − | 3.70372i | 0.0655539 | − | 0.201754i | −0.912914 | − | 0.408151i | \(-0.866174\pi\) |
0.978468 | + | 0.206397i | \(0.0661737\pi\) | |||||||
\(338\) | −8.53434 | + | 3.79973i | −0.464207 | + | 0.206678i | ||||
\(339\) | −14.9061 | + | 10.8299i | −0.809591 | + | 0.588202i | ||||
\(340\) | 3.29765 | 0.178840 | ||||||||
\(341\) | −10.0758 | − | 9.33906i | −0.545636 | − | 0.505738i | ||||
\(342\) | −0.112511 | −0.00608387 | ||||||||
\(343\) | 12.2642 | − | 8.91046i | 0.662204 | − | 0.481119i | ||||
\(344\) | 4.88509 | − | 2.17498i | 0.263386 | − | 0.117267i | ||||
\(345\) | 1.30163 | − | 4.00599i | 0.0700771 | − | 0.215675i | ||||
\(346\) | 10.3662 | + | 17.9547i | 0.557288 | + | 0.965252i | ||||
\(347\) | 0.745960 | − | 1.29204i | 0.0400452 | − | 0.0693604i | −0.845308 | − | 0.534279i | \(-0.820583\pi\) |
0.885353 | + | 0.464919i | \(0.153916\pi\) | |||||||
\(348\) | −10.1232 | − | 11.2429i | −0.542660 | − | 0.602685i | ||||
\(349\) | −0.238831 | − | 0.735046i | −0.0127843 | − | 0.0393461i | 0.944461 | − | 0.328624i | \(-0.106585\pi\) |
−0.957245 | + | 0.289278i | \(0.906585\pi\) | |||||||
\(350\) | −3.90977 | + | 4.34224i | −0.208986 | + | 0.232102i | ||||
\(351\) | 9.56113 | + | 4.25689i | 0.510335 | + | 0.227216i | ||||
\(352\) | −2.41355 | + | 0.513015i | −0.128642 | + | 0.0273438i | ||||
\(353\) | 2.04570 | + | 19.4635i | 0.108881 | + | 1.03594i | 0.903430 | + | 0.428737i | \(0.141041\pi\) |
−0.794548 | + | 0.607201i | \(0.792292\pi\) | |||||||
\(354\) | −1.60528 | + | 15.2733i | −0.0853199 | + | 0.811764i | ||||
\(355\) | −3.29539 | − | 0.700456i | −0.174901 | − | 0.0371764i | ||||
\(356\) | 0.948903 | + | 0.689419i | 0.0502918 | + | 0.0365391i | ||||
\(357\) | −12.7614 | − | 9.27168i | −0.675403 | − | 0.490709i | ||||
\(358\) | 1.67711 | + | 0.356481i | 0.0886382 | + | 0.0188406i | ||||
\(359\) | −0.211188 | + | 2.00932i | −0.0111461 | + | 0.106048i | −0.998680 | − | 0.0513559i | \(-0.983646\pi\) |
0.987534 | + | 0.157404i | \(0.0503124\pi\) | |||||||
\(360\) | 0.0163289 | + | 0.155360i | 0.000860611 | + | 0.00818817i | ||||
\(361\) | 18.4999 | − | 3.93228i | 0.973681 | − | 0.206962i | ||||
\(362\) | 4.90550 | + | 2.18407i | 0.257827 | + | 0.114792i | ||||
\(363\) | −5.31769 | + | 5.90589i | −0.279106 | + | 0.309979i | ||||
\(364\) | −0.714580 | − | 2.19925i | −0.0374542 | − | 0.115272i | ||||
\(365\) | 1.87595 | + | 2.08346i | 0.0981919 | + | 0.109053i | ||||
\(366\) | −1.17068 | + | 2.02767i | −0.0611922 | + | 0.105988i | ||||
\(367\) | 13.7881 | + | 23.8817i | 0.719732 | + | 1.24661i | 0.961106 | + | 0.276180i | \(0.0890686\pi\) |
−0.241374 | + | 0.970432i | \(0.577598\pi\) | |||||||
\(368\) | 1.96698 | − | 6.05373i | 0.102536 | − | 0.315573i | ||||
\(369\) | 0.752948 | − | 0.335234i | 0.0391969 | − | 0.0174516i | ||||
\(370\) | −1.79912 | + | 1.30714i | −0.0935320 | + | 0.0679550i | ||||
\(371\) | 3.49797 | 0.181605 | ||||||||
\(372\) | 6.78115 | − | 5.93085i | 0.351586 | − | 0.307500i | ||||
\(373\) | 13.1128 | 0.678954 | 0.339477 | − | 0.940614i | \(-0.389750\pi\) | ||||
0.339477 | + | 0.940614i | \(0.389750\pi\) | |||||||
\(374\) | −16.0959 | + | 11.6943i | −0.832297 | + | 0.604699i | ||||
\(375\) | −5.94417 | + | 2.64651i | −0.306956 | + | 0.136665i | ||||
\(376\) | −0.457738 | + | 1.40877i | −0.0236061 | + | 0.0726520i | ||||
\(377\) | −8.94151 | − | 15.4872i | −0.460511 | − | 0.797629i | ||||
\(378\) | 3.30806 | − | 5.72973i | 0.170148 | − | 0.294706i | ||||
\(379\) | −10.7276 | − | 11.9142i | −0.551039 | − | 0.611991i | 0.401704 | − | 0.915770i | \(-0.368418\pi\) |
−0.952743 | + | 0.303779i | \(0.901752\pi\) | |||||||
\(380\) | 0.0372263 | + | 0.114571i | 0.00190967 | + | 0.00587736i | ||||
\(381\) | −18.3711 | + | 20.4031i | −0.941178 | + | 1.04528i | ||||
\(382\) | −4.26939 | − | 1.90086i | −0.218441 | − | 0.0972563i | ||||
\(383\) | −27.8637 | + | 5.92262i | −1.42377 | + | 0.302632i | −0.854471 | − | 0.519499i | \(-0.826119\pi\) |
−0.569299 | + | 0.822131i | \(0.692785\pi\) | |||||||
\(384\) | −0.169131 | − | 1.60917i | −0.00863091 | − | 0.0821176i | ||||
\(385\) | −0.127536 | + | 1.21342i | −0.00649981 | + | 0.0618416i | ||||
\(386\) | −3.67524 | − | 0.781197i | −0.187065 | − | 0.0397619i | ||||
\(387\) | 1.65244 | + | 1.20057i | 0.0839981 | + | 0.0610282i | ||||
\(388\) | 9.01866 | + | 6.55244i | 0.457853 | + | 0.332650i | ||||
\(389\) | −5.15720 | − | 1.09620i | −0.261481 | − | 0.0555794i | 0.0753058 | − | 0.997160i | \(-0.476007\pi\) |
−0.336786 | + | 0.941581i | \(0.609340\pi\) | |||||||
\(390\) | 0.132295 | − | 1.25870i | 0.00669901 | − | 0.0637369i | ||||
\(391\) | −5.36484 | − | 51.0430i | −0.271312 | − | 2.58136i | ||||
\(392\) | 5.41716 | − | 1.15145i | 0.273608 | − | 0.0581571i | ||||
\(393\) | 22.1540 | + | 9.86358i | 1.11752 | + | 0.497552i | ||||
\(394\) | −7.40441 | + | 8.22343i | −0.373029 | + | 0.414290i | ||||
\(395\) | 0.764132 | + | 2.35176i | 0.0384476 | + | 0.118330i | ||||
\(396\) | −0.630648 | − | 0.700405i | −0.0316912 | − | 0.0351967i | ||||
\(397\) | −9.40378 | + | 16.2878i | −0.471962 | + | 0.817462i | −0.999485 | − | 0.0320783i | \(-0.989787\pi\) |
0.527523 | + | 0.849541i | \(0.323121\pi\) | |||||||
\(398\) | 1.91308 | + | 3.31355i | 0.0958940 | + | 0.166093i | ||||
\(399\) | 0.178068 | − | 0.548036i | 0.00891454 | − | 0.0274361i | ||||
\(400\) | −4.41493 | + | 1.96565i | −0.220746 | + | 0.0982826i | ||||
\(401\) | 18.8528 | − | 13.6974i | 0.941465 | − | 0.684014i | −0.00730807 | − | 0.999973i | \(-0.502326\pi\) |
0.948773 | + | 0.315959i | \(0.102326\pi\) | |||||||
\(402\) | −13.0119 | −0.648974 | ||||||||
\(403\) | 9.29805 | − | 5.19080i | 0.463169 | − | 0.258572i | ||||
\(404\) | −5.63282 | −0.280243 | ||||||||
\(405\) | 2.55041 | − | 1.85298i | 0.126731 | − | 0.0920753i | ||||
\(406\) | −10.3275 | + | 4.59811i | −0.512546 | + | 0.228200i | ||||
\(407\) | 4.14608 | − | 12.7603i | 0.205514 | − | 0.632506i | ||||
\(408\) | −6.52323 | − | 11.2986i | −0.322948 | − | 0.559363i | ||||
\(409\) | 4.26318 | − | 7.38405i | 0.210801 | − | 0.365118i | −0.741165 | − | 0.671323i | \(-0.765726\pi\) |
0.951965 | + | 0.306206i | \(0.0990595\pi\) | |||||||
\(410\) | −0.590500 | − | 0.655817i | −0.0291627 | − | 0.0323885i | ||||
\(411\) | −4.87819 | − | 15.0135i | −0.240623 | − | 0.740562i | ||||
\(412\) | −10.7856 | + | 11.9786i | −0.531366 | + | 0.590142i | ||||
\(413\) | 10.4835 | + | 4.66756i | 0.515860 | + | 0.229675i | ||||
\(414\) | 2.37819 | − | 0.505499i | 0.116882 | − | 0.0248439i | ||||
\(415\) | 0.216100 | + | 2.05605i | 0.0106079 | + | 0.100928i | ||||
\(416\) | 0.199920 | − | 1.90211i | 0.00980189 | − | 0.0932588i | ||||
\(417\) | −30.9818 | − | 6.58538i | −1.51719 | − | 0.322488i | ||||
\(418\) | −0.588000 | − | 0.427207i | −0.0287600 | − | 0.0208954i | ||||
\(419\) | −9.10559 | − | 6.61560i | −0.444837 | − | 0.323193i | 0.342717 | − | 0.939439i | \(-0.388653\pi\) |
−0.787554 | + | 0.616246i | \(0.788653\pi\) | |||||||
\(420\) | −0.782596 | − | 0.166346i | −0.0381868 | − | 0.00811685i | ||||
\(421\) | −1.65582 | + | 15.7541i | −0.0807000 | + | 0.767809i | 0.877087 | + | 0.480331i | \(0.159483\pi\) |
−0.957787 | + | 0.287478i | \(0.907183\pi\) | |||||||
\(422\) | −0.961187 | − | 9.14508i | −0.0467898 | − | 0.445176i | ||||
\(423\) | −0.553432 | + | 0.117636i | −0.0269088 | + | 0.00571964i | ||||
\(424\) | 2.64301 | + | 1.17674i | 0.128356 | + | 0.0571478i | ||||
\(425\) | −26.0741 | + | 28.9582i | −1.26478 | + | 1.40468i | ||||
\(426\) | 4.11882 | + | 12.6764i | 0.199558 | + | 0.614175i | ||||
\(427\) | 1.17068 | + | 1.30017i | 0.0566530 | + | 0.0629195i | ||||
\(428\) | 6.01886 | − | 10.4250i | 0.290933 | − | 0.503910i | ||||
\(429\) | 3.81795 | + | 6.61289i | 0.184333 | + | 0.319273i | ||||
\(430\) | 0.675809 | − | 2.07993i | 0.0325904 | − | 0.100303i | ||||
\(431\) | 15.0493 | − | 6.70038i | 0.724900 | − | 0.322746i | −0.0109044 | − | 0.999941i | \(-0.503471\pi\) |
0.735804 | + | 0.677194i | \(0.236804\pi\) | |||||||
\(432\) | 4.42705 | − | 3.21644i | 0.212997 | − | 0.154751i | ||||
\(433\) | 8.28838 | 0.398314 | 0.199157 | − | 0.979968i | \(-0.436180\pi\) | ||||
0.199157 | + | 0.979968i | \(0.436180\pi\) | |||||||
\(434\) | −2.64902 | − | 6.18862i | −0.127157 | − | 0.297063i | ||||
\(435\) | −6.18736 | −0.296661 | ||||||||
\(436\) | 15.4704 | − | 11.2399i | 0.740899 | − | 0.538295i | ||||
\(437\) | 1.71284 | − | 0.762603i | 0.0819360 | − | 0.0364803i | ||||
\(438\) | 3.42754 | − | 10.5489i | 0.163774 | − | 0.504045i | ||||
\(439\) | 12.8822 | + | 22.3126i | 0.614834 | + | 1.06492i | 0.990414 | + | 0.138134i | \(0.0441104\pi\) |
−0.375580 | + | 0.926790i | \(0.622556\pi\) | |||||||
\(440\) | −0.504568 | + | 0.873938i | −0.0240544 | + | 0.0416634i | ||||
\(441\) | 1.41548 | + | 1.57205i | 0.0674037 | + | 0.0748594i | ||||
\(442\) | −4.76551 | − | 14.6667i | −0.226672 | − | 0.697626i | ||||
\(443\) | 13.3119 | − | 14.7844i | 0.632469 | − | 0.702429i | −0.338680 | − | 0.940902i | \(-0.609980\pi\) |
0.971149 | + | 0.238473i | \(0.0766469\pi\) | |||||||
\(444\) | 8.03753 | + | 3.57854i | 0.381444 | + | 0.169830i | ||||
\(445\) | 0.469210 | − | 0.0997338i | 0.0222427 | − | 0.00472783i | ||||
\(446\) | 1.99007 | + | 18.9343i | 0.0942327 | + | 0.896564i | ||||
\(447\) | −2.68119 | + | 25.5098i | −0.126816 | + | 1.20657i | ||||
\(448\) | −1.18264 | − | 0.251377i | −0.0558743 | − | 0.0118765i | ||||
\(449\) | 10.1143 | + | 7.34844i | 0.477321 | + | 0.346794i | 0.800288 | − | 0.599616i | \(-0.204680\pi\) |
−0.322966 | + | 0.946410i | \(0.604680\pi\) | |||||||
\(450\) | −1.49340 | − | 1.08502i | −0.0703995 | − | 0.0511482i | ||||
\(451\) | 5.20794 | + | 1.10698i | 0.245232 | + | 0.0521257i | ||||
\(452\) | −1.19030 | + | 11.3249i | −0.0559868 | + | 0.532679i | ||||
\(453\) | −1.28966 | − | 12.2703i | −0.0605937 | − | 0.576511i | ||||
\(454\) | 12.3859 | − | 2.63270i | 0.581298 | − | 0.123559i | ||||
\(455\) | −0.863968 | − | 0.384663i | −0.0405035 | − | 0.0180333i | ||||
\(456\) | 0.318909 | − | 0.354185i | 0.0149343 | − | 0.0165862i | ||||
\(457\) | 8.60327 | + | 26.4781i | 0.402444 | + | 1.23860i | 0.923011 | + | 0.384774i | \(0.125721\pi\) |
−0.520567 | + | 0.853821i | \(0.674279\pi\) | |||||||
\(458\) | 5.47551 | + | 6.08117i | 0.255854 | + | 0.284154i | ||||
\(459\) | 22.0614 | − | 38.2114i | 1.02974 | − | 1.78355i | ||||
\(460\) | −1.30163 | − | 2.25448i | −0.0606886 | − | 0.105116i | ||||
\(461\) | 10.9622 | − | 33.7383i | 0.510563 | − | 1.57135i | −0.280651 | − | 0.959810i | \(-0.590550\pi\) |
0.791213 | − | 0.611540i | \(-0.209450\pi\) | |||||||
\(462\) | 4.40977 | − | 1.96335i | 0.205161 | − | 0.0913435i | ||||
\(463\) | −16.4563 | + | 11.9562i | −0.764789 | + | 0.555651i | −0.900375 | − | 0.435114i | \(-0.856708\pi\) |
0.135587 | + | 0.990765i | \(0.456708\pi\) | |||||||
\(464\) | −9.35016 | −0.434070 | ||||||||
\(465\) | 0.0531646 | − | 3.68402i | 0.00246545 | − | 0.170842i | ||||
\(466\) | 20.0914 | 0.930717 | ||||||||
\(467\) | 0.800045 | − | 0.581267i | 0.0370217 | − | 0.0268978i | −0.569121 | − | 0.822254i | \(-0.692716\pi\) |
0.606142 | + | 0.795356i | \(0.292716\pi\) | |||||||
\(468\) | 0.667386 | − | 0.297139i | 0.0308499 | − | 0.0137353i | ||||
\(469\) | −3.00457 | + | 9.24711i | −0.138738 | + | 0.426992i | ||||
\(470\) | 0.302903 | + | 0.524644i | 0.0139719 | + | 0.0242000i | ||||
\(471\) | 5.64051 | − | 9.76965i | 0.259901 | − | 0.450162i | ||||
\(472\) | 6.35098 | + | 7.05347i | 0.292327 | + | 0.324662i | ||||
\(473\) | 4.07733 | + | 12.5487i | 0.187476 | + | 0.576991i | ||||
\(474\) | 6.54614 | − | 7.27023i | 0.300674 | − | 0.333933i | ||||
\(475\) | −1.30044 | − | 0.578995i | −0.0596685 | − | 0.0265661i | ||||
\(476\) | −9.53578 | + | 2.02689i | −0.437072 | + | 0.0929025i | ||||
\(477\) | 0.115512 | + | 1.09903i | 0.00528894 | + | 0.0503209i | ||||
\(478\) | 2.36827 | − | 22.5326i | 0.108322 | − | 1.03062i | ||||
\(479\) | 2.37711 | + | 0.505270i | 0.108613 | + | 0.0230864i | 0.261897 | − | 0.965096i | \(-0.415652\pi\) |
−0.153285 | + | 0.988182i | \(0.548985\pi\) | |||||||
\(480\) | −0.535358 | − | 0.388960i | −0.0244356 | − | 0.0177535i | ||||
\(481\) | 8.41365 | + | 6.11287i | 0.383629 | + | 0.278723i | ||||
\(482\) | 28.6955 | + | 6.09943i | 1.30705 | + | 0.277821i | ||||
\(483\) | −1.30163 | + | 12.3841i | −0.0592260 | + | 0.563498i | ||||
\(484\) | 0.513403 | + | 4.88471i | 0.0233365 | + | 0.222032i | ||||
\(485\) | 4.45952 | − | 0.947900i | 0.202496 | − | 0.0430419i | ||||
\(486\) | 3.60327 | + | 1.60428i | 0.163448 | + | 0.0727716i | ||||
\(487\) | −1.03821 | + | 1.15305i | −0.0470458 | + | 0.0522496i | −0.766208 | − | 0.642592i | \(-0.777859\pi\) |
0.719163 | + | 0.694842i | \(0.244526\pi\) | |||||||
\(488\) | 0.447158 | + | 1.37621i | 0.0202419 | + | 0.0622982i | ||||
\(489\) | 20.7909 | + | 23.0907i | 0.940199 | + | 1.04420i | ||||
\(490\) | 1.13249 | − | 1.96154i | 0.0511609 | − | 0.0886133i | ||||
\(491\) | −4.00828 | − | 6.94255i | −0.180891 | − | 0.313313i | 0.761293 | − | 0.648408i | \(-0.224565\pi\) |
−0.942184 | + | 0.335095i | \(0.891232\pi\) | |||||||
\(492\) | −1.07890 | + | 3.32051i | −0.0486405 | + | 0.149700i | ||||
\(493\) | −68.8738 | + | 30.6646i | −3.10192 | + | 1.38106i | ||||
\(494\) | 0.455772 | − | 0.331138i | 0.0205062 | − | 0.0148986i | ||||
\(495\) | −0.385456 | −0.0173250 | ||||||||
\(496\) | 0.0803408 | − | 5.56718i | 0.00360741 | − | 0.249974i | ||||
\(497\) | 9.95979 | 0.446757 | ||||||||
\(498\) | 6.61708 | − | 4.80759i | 0.296518 | − | 0.215433i | ||||
\(499\) | −23.8691 | + | 10.6272i | −1.06853 | + | 0.475738i | −0.864192 | − | 0.503163i | \(-0.832170\pi\) |
−0.204334 | + | 0.978901i | \(0.565503\pi\) | |||||||
\(500\) | −1.24267 | + | 3.82454i | −0.0555739 | + | 0.171039i | ||||
\(501\) | 10.1243 | + | 17.5358i | 0.452321 | + | 0.783442i | ||||
\(502\) | 1.69506 | − | 2.93594i | 0.0756544 | − | 0.131037i | ||||
\(503\) | −23.0506 | − | 25.6002i | −1.02777 | − | 1.14146i | −0.989841 | − | 0.142178i | \(-0.954589\pi\) |
−0.0379329 | − | 0.999280i | \(-0.512077\pi\) | |||||||
\(504\) | −0.142710 | − | 0.439216i | −0.00635680 | − | 0.0195642i | ||||
\(505\) | −1.54147 | + | 1.71198i | −0.0685946 | + | 0.0761820i | ||||
\(506\) | 14.3482 | + | 6.38824i | 0.637856 | + | 0.283992i | ||||
\(507\) | 14.7854 | − | 3.14272i | 0.656641 | − | 0.139573i | ||||
\(508\) | 1.77366 | + | 16.8752i | 0.0786934 | + | 0.748718i | ||||
\(509\) | 0.107145 | − | 1.01942i | 0.00474912 | − | 0.0451848i | −0.991891 | − | 0.127094i | \(-0.959435\pi\) |
0.996640 | + | 0.0819091i | \(0.0261017\pi\) | |||||||
\(510\) | −5.21911 | − | 1.10936i | −0.231106 | − | 0.0491231i | ||||
\(511\) | −6.70528 | − | 4.87167i | −0.296624 | − | 0.215510i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 1.57663 | + | 0.335123i | 0.0696099 | + | 0.0147960i | ||||
\(514\) | 1.72552 | − | 16.4172i | 0.0761095 | − | 0.724134i | ||||
\(515\) | 0.689073 | + | 6.55609i | 0.0303642 | + | 0.288896i | ||||
\(516\) | −8.46320 | + | 1.79891i | −0.372572 | + | 0.0791925i | ||||
\(517\) | −3.33900 | − | 1.48662i | −0.146849 | − | 0.0653814i | ||||
\(518\) | 4.39908 | − | 4.88568i | 0.193285 | − | 0.214664i | ||||
\(519\) | −10.3662 | − | 31.9038i | −0.455024 | − | 1.40042i | ||||
\(520\) | −0.523398 | − | 0.581292i | −0.0229525 | − | 0.0254913i | ||||
\(521\) | −6.57055 | + | 11.3805i | −0.287861 | + | 0.498590i | −0.973299 | − | 0.229541i | \(-0.926277\pi\) |
0.685438 | + | 0.728131i | \(0.259611\pi\) | |||||||
\(522\) | −1.78572 | − | 3.09296i | −0.0781589 | − | 0.135375i | ||||
\(523\) | −0.771812 | + | 2.37539i | −0.0337490 | + | 0.103869i | −0.966512 | − | 0.256622i | \(-0.917391\pi\) |
0.932763 | + | 0.360490i | \(0.117391\pi\) | |||||||
\(524\) | 13.6919 | − | 6.09602i | 0.598133 | − | 0.266306i | ||||
\(525\) | 7.64866 | − | 5.55708i | 0.333815 | − | 0.242531i | ||||
\(526\) | −17.8994 | −0.780450 | ||||||||
\(527\) | −17.6662 | − | 41.2717i | −0.769554 | − | 1.79782i | ||||
\(528\) | 3.99244 | 0.173749 | ||||||||
\(529\) | −14.1713 | + | 10.2961i | −0.616144 | + | 0.447654i | ||||
\(530\) | 1.08093 | − | 0.481262i | 0.0469526 | − | 0.0209047i | ||||
\(531\) | −1.12031 | + | 3.44795i | −0.0486171 | + | 0.149628i | ||||
\(532\) | −0.178068 | − | 0.308422i | −0.00772022 | − | 0.0133718i | ||||
\(533\) | −2.06349 | + | 3.57407i | −0.0893796 | + | 0.154810i | ||||
\(534\) | −1.26988 | − | 1.41035i | −0.0549531 | − | 0.0610316i | ||||
\(535\) | −1.52134 | − | 4.68220i | −0.0657732 | − | 0.202429i | ||||
\(536\) | −5.38101 | + | 5.97622i | −0.232424 | + | 0.258133i | ||||
\(537\) | −2.53440 | − | 1.12839i | −0.109368 | − | 0.0486936i | ||||
\(538\) | −12.2887 | + | 2.61205i | −0.529805 | + | 0.112614i | ||||
\(539\) | 1.42841 | + | 13.5904i | 0.0615260 | + | 0.585380i | ||||
\(540\) | 0.233932 | − | 2.22572i | 0.0100668 | − | 0.0957797i | ||||
\(541\) | −11.1968 | − | 2.37995i | −0.481387 | − | 0.102322i | −0.0391745 | − | 0.999232i | \(-0.512473\pi\) |
−0.442212 | + | 0.896911i | \(0.645806\pi\) | |||||||
\(542\) | −8.82130 | − | 6.40905i | −0.378907 | − | 0.275292i | ||||
\(543\) | −7.02908 | − | 5.10692i | −0.301647 | − | 0.219159i | ||||
\(544\) | −7.88696 | − | 1.67642i | −0.338151 | − | 0.0718761i | ||||
\(545\) | 0.817482 | − | 7.77782i | 0.0350171 | − | 0.333165i | ||||
\(546\) | 0.391103 | + | 3.72109i | 0.0167377 | + | 0.159248i | ||||
\(547\) | −6.80182 | + | 1.44577i | −0.290825 | + | 0.0618168i | −0.351014 | − | 0.936370i | \(-0.614163\pi\) |
0.0601889 | + | 0.998187i | \(0.480830\pi\) | |||||||
\(548\) | −8.91289 | − | 3.96828i | −0.380740 | − | 0.169516i | ||||
\(549\) | −0.369841 | + | 0.410750i | −0.0157844 | + | 0.0175304i | ||||
\(550\) | −3.68491 | − | 11.3410i | −0.157125 | − | 0.483581i | ||||
\(551\) | −1.84289 | − | 2.04673i | −0.0785096 | − | 0.0871937i | ||||
\(552\) | −5.14961 | + | 8.91939i | −0.219182 | + | 0.379635i | ||||
\(553\) | −3.65514 | − | 6.33088i | −0.155432 | − | 0.269217i | ||||
\(554\) | 4.12825 | − | 12.7054i | 0.175393 | − | 0.539803i | ||||
\(555\) | 3.28716 | − | 1.46354i | 0.139532 | − | 0.0621238i | ||||
\(556\) | −15.8370 | + | 11.5062i | −0.671637 | + | 0.487973i | ||||
\(557\) | −13.2546 | −0.561616 | −0.280808 | − | 0.959764i | \(-0.590602\pi\) | ||||
−0.280808 | + | 0.959764i | \(0.590602\pi\) | |||||||
\(558\) | 1.85693 | − | 1.03666i | 0.0786099 | − | 0.0438854i | ||||
\(559\) | −10.2274 | −0.432572 | ||||||||
\(560\) | −0.400040 | + | 0.290646i | −0.0169048 | + | 0.0122820i | ||||
\(561\) | 29.4086 | − | 13.0935i | 1.24163 | − | 0.552810i | ||||
\(562\) | 1.32611 | − | 4.08136i | 0.0559388 | − | 0.172162i | ||||
\(563\) | 9.20226 | + | 15.9388i | 0.387829 | + | 0.671739i | 0.992157 | − | 0.124996i | \(-0.0398918\pi\) |
−0.604328 | + | 0.796735i | \(0.706559\pi\) | |||||||
\(564\) | 1.19837 | − | 2.07565i | 0.0504607 | − | 0.0874005i | ||||
\(565\) | 3.11623 | + | 3.46093i | 0.131101 | + | 0.145602i | ||||
\(566\) | 6.79798 | + | 20.9220i | 0.285741 | + | 0.879419i | ||||
\(567\) | −6.23607 | + | 6.92586i | −0.261890 | + | 0.290859i | ||||
\(568\) | 7.52547 | + | 3.35055i | 0.315762 | + | 0.140586i | ||||
\(569\) | −2.02983 | + | 0.431455i | −0.0850951 | + | 0.0180875i | −0.250262 | − | 0.968178i | \(-0.580517\pi\) |
0.165167 | + | 0.986266i | \(0.447184\pi\) | |||||||
\(570\) | −0.0203746 | − | 0.193852i | −0.000853399 | − | 0.00811955i | ||||
\(571\) | −0.804543 | + | 7.65472i | −0.0336691 | + | 0.320340i | 0.964705 | + | 0.263334i | \(0.0848221\pi\) |
−0.998374 | + | 0.0570061i | \(0.981845\pi\) | |||||||
\(572\) | 4.61612 | + | 0.981187i | 0.193010 | + | 0.0410255i | ||||
\(573\) | 6.11760 | + | 4.44470i | 0.255566 | + | 0.185680i | ||||
\(574\) | 2.11064 | + | 1.53347i | 0.0880965 | + | 0.0640059i | ||||
\(575\) | 30.0895 | + | 6.39572i | 1.25482 | + | 0.266720i | ||||
\(576\) | 0.0399263 | − | 0.379874i | 0.00166360 | − | 0.0158281i | ||||
\(577\) | −2.74650 | − | 26.1312i | −0.114338 | − | 1.08786i | −0.889765 | − | 0.456420i | \(-0.849132\pi\) |
0.775426 | − | 0.631438i | \(-0.217535\pi\) | |||||||
\(578\) | −46.9653 | + | 9.98278i | −1.95350 | + | 0.415229i | ||||
\(579\) | 5.55392 | + | 2.47276i | 0.230813 | + | 0.102765i | ||||
\(580\) | −2.55876 | + | 2.84179i | −0.106247 | + | 0.117999i | ||||
\(581\) | −1.88864 | − | 5.81265i | −0.0783542 | − | 0.241149i | ||||
\(582\) | −12.0693 | − | 13.4043i | −0.500290 | − | 0.555628i | ||||
\(583\) | −3.56936 | + | 6.18231i | −0.147828 | + | 0.256045i | ||||
\(584\) | −3.42754 | − | 5.93667i | −0.141833 | − | 0.245661i | ||||
\(585\) | 0.0923268 | − | 0.284153i | 0.00381725 | − | 0.0117483i | ||||
\(586\) | −11.6727 | + | 5.19704i | −0.482197 | + | 0.214688i | ||||
\(587\) | 16.7439 | − | 12.1652i | 0.691096 | − | 0.502110i | −0.185925 | − | 0.982564i | \(-0.559528\pi\) |
0.877020 | + | 0.480454i | \(0.159528\pi\) | |||||||
\(588\) | −8.96097 | −0.369544 | ||||||||
\(589\) | 1.23448 | − | 1.07969i | 0.0508659 | − | 0.0444877i | ||||
\(590\) | 3.88176 | 0.159809 | ||||||||
\(591\) | 14.4852 | − | 10.5241i | 0.595842 | − | 0.432904i | ||||
\(592\) | 4.96747 | − | 2.21166i | 0.204162 | − | 0.0908986i | ||||
\(593\) | −5.13950 | + | 15.8177i | −0.211054 | + | 0.649557i | 0.788356 | + | 0.615219i | \(0.210932\pi\) |
−0.999410 | + | 0.0343381i | \(0.989068\pi\) | |||||||
\(594\) | 6.75115 | + | 11.6933i | 0.277003 | + | 0.479784i | ||||
\(595\) | −1.99352 | + | 3.45288i | −0.0817264 | + | 0.141554i | ||||
\(596\) | 10.6076 | + | 11.7809i | 0.434504 | + | 0.482565i | ||||
\(597\) | −1.91308 | − | 5.88785i | −0.0782971 | − | 0.240974i | ||||
\(598\) | −8.14610 | + | 9.04716i | −0.333119 | + | 0.369966i | ||||
\(599\) | 13.4037 | + | 5.96769i | 0.547658 | + | 0.243833i | 0.661864 | − | 0.749624i | \(-0.269766\pi\) |
−0.114206 | + | 0.993457i | \(0.536432\pi\) | |||||||
\(600\) | 7.64866 | − | 1.62577i | 0.312255 | − | 0.0663719i | ||||
\(601\) | −3.82985 | − | 36.4386i | −0.156223 | − | 1.48636i | −0.738987 | − | 0.673720i | \(-0.764695\pi\) |
0.582764 | − | 0.812642i | \(-0.301971\pi\) | |||||||
\(602\) | −0.675809 | + | 6.42989i | −0.0275439 | + | 0.262063i | ||||
\(603\) | −3.00457 | − | 0.638641i | −0.122355 | − | 0.0260075i | ||||
\(604\) | −6.16897 | − | 4.48202i | −0.251012 | − | 0.182371i | ||||
\(605\) | 1.62510 | + | 1.18071i | 0.0660698 | + | 0.0480025i | ||||
\(606\) | 8.91493 | + | 1.89493i | 0.362144 | + | 0.0769761i | ||||
\(607\) | −3.30626 | + | 31.4570i | −0.134197 | + | 1.27680i | 0.695476 | + | 0.718549i | \(0.255194\pi\) |
−0.829673 | + | 0.558250i | \(0.811473\pi\) | |||||||
\(608\) | −0.0307895 | − | 0.292943i | −0.00124868 | − | 0.0118804i | ||||
\(609\) | 17.8920 | − | 3.80305i | 0.725019 | − | 0.154107i | ||||
\(610\) | 0.540640 | + | 0.240708i | 0.0218899 | + | 0.00974600i | ||||
\(611\) | 1.89569 | − | 2.10538i | 0.0766915 | − | 0.0851746i | ||||
\(612\) | −0.951727 | − | 2.92911i | −0.0384713 | − | 0.118402i | ||||
\(613\) | 21.2875 | + | 23.6422i | 0.859796 | + | 0.954900i | 0.999376 | − | 0.0353108i | \(-0.0112421\pi\) |
−0.139581 | + | 0.990211i | \(0.544575\pi\) | |||||||
\(614\) | −4.51003 | + | 7.81160i | −0.182010 | + | 0.315250i | ||||
\(615\) | 0.713948 | + | 1.23659i | 0.0287892 | + | 0.0498643i | ||||
\(616\) | 0.921892 | − | 2.83729i | 0.0371441 | − | 0.114318i | ||||
\(617\) | 19.7979 | − | 8.81458i | 0.797033 | − | 0.354862i | 0.0325205 | − | 0.999471i | \(-0.489647\pi\) |
0.764512 | + | 0.644609i | \(0.222980\pi\) | |||||||
\(618\) | 21.0997 | − | 15.3299i | 0.848756 | − | 0.616657i | ||||
\(619\) | 13.0974 | 0.526427 | 0.263214 | − | 0.964738i | \(-0.415218\pi\) | ||||
0.263214 | + | 0.964738i | \(0.415218\pi\) | |||||||
\(620\) | −1.67004 | − | 1.54793i | −0.0670706 | − | 0.0621663i | ||||
\(621\) | −34.8316 | −1.39775 | ||||||||
\(622\) | −7.06897 | + | 5.13591i | −0.283440 | + | 0.205931i | ||||
\(623\) | −1.29551 | + | 0.576799i | −0.0519036 | + | 0.0231090i | ||||
\(624\) | −0.956295 | + | 2.94317i | −0.0382824 | + | 0.117821i | ||||
\(625\) | −11.2595 | − | 19.5021i | −0.450381 | − | 0.780083i | ||||
\(626\) | −10.4310 | + | 18.0670i | −0.416905 | + | 0.722101i | ||||
\(627\) | 0.786897 | + | 0.873938i | 0.0314257 | + | 0.0349017i | ||||
\(628\) | −2.15448 | − | 6.63082i | −0.0859733 | − | 0.264598i | ||||
\(629\) | 29.3373 | − | 32.5824i | 1.16976 | − | 1.29915i | ||||
\(630\) | −0.172544 | − | 0.0768217i | −0.00687433 | − | 0.00306065i | ||||
\(631\) | 2.53536 | − | 0.538907i | 0.100931 | − | 0.0214535i | −0.157169 | − | 0.987572i | \(-0.550237\pi\) |
0.258100 | + | 0.966118i | \(0.416903\pi\) | |||||||
\(632\) | −0.632006 | − | 6.01314i | −0.0251399 | − | 0.239190i | ||||
\(633\) | −1.55523 | + | 14.7971i | −0.0618149 | + | 0.588130i | ||||
\(634\) | 20.6544 | + | 4.39024i | 0.820293 | + | 0.174359i | ||||
\(635\) | 5.61426 | + | 4.07900i | 0.222795 | + | 0.161870i | ||||
\(636\) | −3.78716 | − | 2.75154i | −0.150171 | − | 0.109106i | ||||
\(637\) | −10.3608 | − | 2.20226i | −0.410510 | − | 0.0872566i | ||||
\(638\) | 2.41160 | − | 22.9448i | 0.0954760 | − | 0.908394i | ||||
\(639\) | 0.328899 | + | 3.12926i | 0.0130110 | + | 0.123792i | ||||
\(640\) | −0.400040 | + | 0.0850311i | −0.0158130 | + | 0.00336115i | ||||
\(641\) | 23.3660 | + | 10.4032i | 0.922902 | + | 0.410902i | 0.812484 | − | 0.582983i | \(-0.198115\pi\) |
0.110418 | + | 0.993885i | \(0.464781\pi\) | |||||||
\(642\) | −13.0330 | + | 14.4746i | −0.514370 | + | 0.571266i | ||||
\(643\) | 5.57977 | + | 17.1728i | 0.220045 | + | 0.677228i | 0.998757 | + | 0.0498464i | \(0.0158732\pi\) |
−0.778712 | + | 0.627381i | \(0.784127\pi\) | |||||||
\(644\) | 5.14961 | + | 5.71923i | 0.202923 | + | 0.225369i | ||||
\(645\) | −1.76929 | + | 3.06450i | −0.0696657 | + | 0.120665i | ||||
\(646\) | −1.18753 | − | 2.05686i | −0.0467226 | − | 0.0809260i | ||||
\(647\) | −4.54443 | + | 13.9863i | −0.178660 | + | 0.549859i | −0.999782 | − | 0.0208941i | \(-0.993349\pi\) |
0.821122 | + | 0.570753i | \(0.193349\pi\) | |||||||
\(648\) | −7.04179 | + | 3.13521i | −0.276628 | + | 0.123163i | ||||
\(649\) | −18.9469 | + | 13.7657i | −0.743731 | + | 0.540352i | ||||
\(650\) | 9.24305 | 0.362542 | ||||||||
\(651\) | 2.11064 | + | 10.6857i | 0.0827226 | + | 0.418807i | ||||
\(652\) | 19.2033 | 0.752059 | ||||||||
\(653\) | 36.9617 | − | 26.8542i | 1.44642 | − | 1.05089i | 0.459770 | − | 0.888038i | \(-0.347932\pi\) |
0.986651 | − | 0.162848i | \(-0.0520682\pi\) | |||||||
\(654\) | −28.2659 | + | 12.5848i | −1.10528 | + | 0.492104i | ||||
\(655\) | 1.89415 | − | 5.82960i | 0.0740106 | − | 0.227781i | ||||
\(656\) | 1.07890 | + | 1.86871i | 0.0421239 | + | 0.0729607i | ||||
\(657\) | 1.30920 | − | 2.26761i | 0.0510769 | − | 0.0884678i | ||||
\(658\) | −1.19837 | − | 1.33093i | −0.0467175 | − | 0.0518851i | ||||
\(659\) | −10.5990 | − | 32.6205i | −0.412880 | − | 1.27071i | −0.914133 | − | 0.405414i | \(-0.867127\pi\) |
0.501253 | − | 0.865301i | \(-0.332873\pi\) | |||||||
\(660\) | 1.09257 | − | 1.21342i | 0.0425282 | − | 0.0472323i | ||||
\(661\) | −5.49575 | − | 2.44686i | −0.213760 | − | 0.0951720i | 0.297064 | − | 0.954858i | \(-0.403993\pi\) |
−0.510823 | + | 0.859686i | \(0.670659\pi\) | |||||||
\(662\) | 26.9477 | − | 5.72791i | 1.04735 | − | 0.222622i | ||||
\(663\) | 2.60825 | + | 24.8159i | 0.101296 | + | 0.963768i | ||||
\(664\) | 0.528391 | − | 5.02731i | 0.0205056 | − | 0.195097i | ||||
\(665\) | −0.142468 | − | 0.0302826i | −0.00552469 | − | 0.00117431i | ||||
\(666\) | 1.68030 | + | 1.22081i | 0.0651103 | + | 0.0473054i | ||||
\(667\) | 48.1497 | + | 34.9828i | 1.86436 | + | 1.35454i | ||||
\(668\) | 12.2409 | + | 2.60188i | 0.473613 | + | 0.100670i | ||||
\(669\) | 3.22001 | − | 30.6363i | 0.124493 | − | 1.18447i | ||||
\(670\) | 0.343785 | + | 3.27089i | 0.0132816 | + | 0.126366i | ||||
\(671\) | −3.49248 | + | 0.742351i | −0.134826 | + | 0.0286581i | ||||
\(672\) | 1.78716 | + | 0.795697i | 0.0689414 | + | 0.0306947i | ||||
\(673\) | 13.7350 | − | 15.2542i | 0.529444 | − | 0.588008i | −0.417792 | − | 0.908543i | \(-0.637196\pi\) |
0.947237 | + | 0.320535i | \(0.103863\pi\) | |||||||
\(674\) | 1.20341 | + | 3.70372i | 0.0463536 | + | 0.142662i | ||||
\(675\) | 17.6954 | + | 19.6528i | 0.681097 | + | 0.756435i | ||||
\(676\) | 4.67100 | − | 8.09041i | 0.179654 | − | 0.311170i | ||||
\(677\) | −8.02687 | − | 13.9029i | −0.308498 | − | 0.534333i | 0.669536 | − | 0.742779i | \(-0.266493\pi\) |
−0.978034 | + | 0.208446i | \(0.933160\pi\) | |||||||
\(678\) | 5.69364 | − | 17.5232i | 0.218663 | − | 0.672975i | ||||
\(679\) | −12.3129 | + | 5.48207i | −0.472527 | + | 0.210383i | ||||
\(680\) | −2.66785 | + | 1.93831i | −0.102307 | + | 0.0743307i | ||||
\(681\) | −20.4885 | −0.785121 | ||||||||
\(682\) | 13.6409 | + | 1.63304i | 0.522336 | + | 0.0625324i | ||||
\(683\) | −42.5294 | −1.62734 | −0.813671 | − | 0.581326i | \(-0.802534\pi\) | ||||
−0.813671 | + | 0.581326i | \(0.802534\pi\) | |||||||
\(684\) | 0.0910229 | − | 0.0661320i | 0.00348035 | − | 0.00252862i | ||||
\(685\) | −3.64517 | + | 1.62293i | −0.139275 | + | 0.0620091i | ||||
\(686\) | −4.68450 | + | 14.4174i | −0.178855 | + | 0.550460i | ||||
\(687\) | −6.62020 | − | 11.4665i | −0.252577 | − | 0.437475i | ||||
\(688\) | −2.67370 | + | 4.63098i | −0.101934 | + | 0.176555i | ||||
\(689\) | −3.70256 | − | 4.11211i | −0.141056 | − | 0.156659i | ||||
\(690\) | 1.30163 | + | 4.00599i | 0.0495520 | + | 0.152505i | ||||
\(691\) | 14.7745 | − | 16.4087i | 0.562047 | − | 0.624217i | −0.393404 | − | 0.919366i | \(-0.628703\pi\) |
0.955451 | + | 0.295149i | \(0.0953693\pi\) | |||||||
\(692\) | −18.9399 | − | 8.43260i | −0.719988 | − | 0.320559i | ||||
\(693\) | 1.11462 | − | 0.236920i | 0.0423409 | − | 0.00899984i | ||||
\(694\) | 0.155948 | + | 1.48375i | 0.00591971 | + | 0.0563223i | ||||
\(695\) | −0.836851 | + | 7.96211i | −0.0317436 | + | 0.302020i | ||||
\(696\) | 14.7983 | + | 3.14547i | 0.560927 | + | 0.119229i | ||||
\(697\) | 14.0758 | + | 10.2267i | 0.533159 | + | 0.387363i | ||||
\(698\) | 0.625268 | + | 0.454284i | 0.0236667 | + | 0.0171949i | ||||
\(699\) | −31.7982 | − | 6.75892i | −1.20272 | − | 0.255646i | ||||
\(700\) | 0.610766 | − | 5.81105i | 0.0230848 | − | 0.219637i | ||||
\(701\) | 3.39234 | + | 32.2760i | 0.128127 | + | 1.21905i | 0.849910 | + | 0.526928i | \(0.176656\pi\) |
−0.721783 | + | 0.692120i | \(0.756677\pi\) | |||||||
\(702\) | −10.2372 | + | 2.17599i | −0.386380 | + | 0.0821276i | ||||
\(703\) | 1.46320 | + | 0.651458i | 0.0551856 | + | 0.0245702i | ||||
\(704\) | 1.65106 | − | 1.83368i | 0.0622265 | − | 0.0691096i | ||||
\(705\) | −0.302903 | − | 0.932240i | −0.0114080 | − | 0.0351102i | ||||
\(706\) | −13.0954 | − | 14.5439i | −0.492850 | − | 0.547366i | ||||
\(707\) | 3.40520 | − | 5.89798i | 0.128066 | − | 0.221816i | ||||
\(708\) | −7.67869 | − | 13.2999i | −0.288583 | − | 0.499840i | ||||
\(709\) | 7.48960 | − | 23.0506i | 0.281278 | − | 0.865684i | −0.706212 | − | 0.708000i | \(-0.749597\pi\) |
0.987490 | − | 0.157683i | \(-0.0504026\pi\) | |||||||
\(710\) | 3.07774 | − | 1.37030i | 0.115506 | − | 0.0514264i | ||||
\(711\) | 1.86840 | − | 1.35747i | 0.0700704 | − | 0.0509091i | ||||
\(712\) | −1.17291 | −0.0439566 | ||||||||
\(713\) | −21.2429 | + | 28.3683i | −0.795551 | + | 1.06240i | ||||
\(714\) | 15.7739 | 0.590324 | ||||||||
\(715\) | 1.56146 | − | 1.13446i | 0.0583951 | − | 0.0424265i | ||||
\(716\) | −1.56635 | + | 0.697383i | −0.0585371 | + | 0.0260624i | ||||
\(717\) | −11.3284 | + | 34.8651i | −0.423066 | + | 1.30206i | ||||
\(718\) | −1.01019 | − | 1.74971i | −0.0377001 | − | 0.0652985i | ||||
\(719\) | 0.997478 | − | 1.72768i | 0.0371997 | − | 0.0644317i | −0.846826 | − | 0.531870i | \(-0.821490\pi\) |
0.884026 | + | 0.467438i | \(0.154823\pi\) | |||||||
\(720\) | −0.104528 | − | 0.116091i | −0.00389555 | − | 0.00432644i | ||||
\(721\) | −6.02228 | − | 18.5347i | −0.224281 | − | 0.690267i | ||||
\(722\) | −12.6554 | + | 14.0553i | −0.470986 | + | 0.523083i | ||||
\(723\) | −43.3639 | − | 19.3068i | −1.61272 | − | 0.718029i | ||||
\(724\) | −5.25240 | + | 1.11643i | −0.195204 | + | 0.0414918i | ||||
\(725\) | −4.72331 | − | 44.9393i | −0.175419 | − | 1.66900i | ||||
\(726\) | 0.830704 | − | 7.90362i | 0.0308303 | − | 0.293331i | ||||
\(727\) | −7.87488 | − | 1.67386i | −0.292063 | − | 0.0620799i | 0.0595501 | − | 0.998225i | \(-0.481033\pi\) |
−0.351613 | + | 0.936145i | \(0.614367\pi\) | |||||||
\(728\) | 1.87080 | + | 1.35921i | 0.0693363 | + | 0.0503758i | ||||
\(729\) | −23.8713 | − | 17.3435i | −0.884123 | − | 0.642353i | ||||
\(730\) | −2.74231 | − | 0.582895i | −0.101497 | − | 0.0215739i | ||||
\(731\) | −4.50695 | + | 42.8807i | −0.166695 | + | 1.58600i | ||||
\(732\) | −0.244738 | − | 2.32853i | −0.00904577 | − | 0.0860648i | ||||
\(733\) | 14.0976 | − | 2.99655i | 0.520708 | − | 0.110680i | 0.0599426 | − | 0.998202i | \(-0.480908\pi\) |
0.460766 | + | 0.887522i | \(0.347575\pi\) | |||||||
\(734\) | −25.1921 | − | 11.2162i | −0.929856 | − | 0.413999i | ||||
\(735\) | −2.45225 | + | 2.72350i | −0.0904526 | + | 0.100458i | ||||
\(736\) | 1.96698 | + | 6.05373i | 0.0725037 | + | 0.223144i | ||||
\(737\) | −13.2775 | − | 14.7461i | −0.489081 | − | 0.543180i | ||||
\(738\) | −0.412102 | + | 0.713782i | −0.0151697 | + | 0.0262747i | ||||
\(739\) | 18.1854 | + | 31.4981i | 0.668962 | + | 1.15868i | 0.978195 | + | 0.207690i | \(0.0665945\pi\) |
−0.309233 | + | 0.950986i | \(0.600072\pi\) | |||||||
\(740\) | 0.687205 | − | 2.11500i | 0.0252621 | − | 0.0777489i | ||||
\(741\) | −0.832738 | + | 0.370759i | −0.0305914 | + | 0.0136202i | ||||
\(742\) | −2.82991 | + | 2.05605i | −0.103889 | + | 0.0754801i | ||||
\(743\) | 10.7395 | 0.393993 | 0.196997 | − | 0.980404i | \(-0.436881\pi\) | ||||
0.196997 | + | 0.980404i | \(0.436881\pi\) | |||||||
\(744\) | −2.00000 | + | 8.78402i | −0.0733236 | + | 0.322038i | ||||
\(745\) | 6.48343 | 0.237534 | ||||||||
\(746\) | −10.6085 | + | 7.70750i | −0.388403 | + | 0.282192i | ||||
\(747\) | 1.76391 | − | 0.785342i | 0.0645380 | − | 0.0287342i | ||||
\(748\) | 6.14807 | − | 18.9218i | 0.224796 | − | 0.691850i | ||||
\(749\) | 7.27715 | + | 12.6044i | 0.265901 | + | 0.460554i | ||||
\(750\) | 3.25335 | − | 5.63497i | 0.118796 | − | 0.205760i | ||||
\(751\) | −7.83921 | − | 8.70632i | −0.286057 | − | 0.317698i | 0.582941 | − | 0.812515i | \(-0.301902\pi\) |
−0.868998 | + | 0.494816i | \(0.835235\pi\) | |||||||
\(752\) | −0.457738 | − | 1.40877i | −0.0166920 | − | 0.0513727i | ||||
\(753\) | −3.67041 | + | 4.07640i | −0.133757 | + | 0.148552i | ||||
\(754\) | 16.3370 | + | 7.27368i | 0.594957 | + | 0.264892i | ||||
\(755\) | −3.05041 | + | 0.648384i | −0.111016 | + | 0.0235971i | ||||
\(756\) | 0.691573 | + | 6.57988i | 0.0251523 | + | 0.239308i | ||||
\(757\) | 2.09492 | − | 19.9319i | 0.0761413 | − | 0.724436i | −0.888143 | − | 0.459567i | \(-0.848005\pi\) |
0.964284 | − | 0.264869i | \(-0.0853288\pi\) | |||||||
\(758\) | 15.6818 | + | 3.33327i | 0.569588 | + | 0.121070i | ||||
\(759\) | −20.5595 | − | 14.9374i | −0.746264 | − | 0.542193i | ||||
\(760\) | −0.0974597 | − | 0.0708086i | −0.00353523 | − | 0.00256850i | ||||
\(761\) | −41.6273 | − | 8.84815i | −1.50899 | − | 0.320745i | −0.622176 | − | 0.782877i | \(-0.713751\pi\) |
−0.886811 | + | 0.462132i | \(0.847085\pi\) | |||||||
\(762\) | 2.86984 | − | 27.3047i | 0.103963 | − | 0.989145i | ||||
\(763\) | 2.41672 | + | 22.9935i | 0.0874911 | + | 0.832422i | ||||
\(764\) | 4.57131 | − | 0.971661i | 0.165384 | − | 0.0351535i | ||||
\(765\) | −1.15069 | − | 0.512321i | −0.0416034 | − | 0.0185230i | ||||
\(766\) | 19.0610 | − | 21.1694i | 0.688702 | − | 0.764881i | ||||
\(767\) | −5.60963 | − | 17.2647i | −0.202552 | − | 0.623391i | ||||
\(768\) | 1.08268 | + | 1.20243i | 0.0390677 | + | 0.0433891i | ||||
\(769\) | −6.66562 | + | 11.5452i | −0.240368 | + | 0.416330i | −0.960819 | − | 0.277176i | \(-0.910602\pi\) |
0.720451 | + | 0.693506i | \(0.243935\pi\) | |||||||
\(770\) | −0.610052 | − | 1.05664i | −0.0219847 | − | 0.0380787i | ||||
\(771\) | −8.25384 | + | 25.4027i | −0.297255 | + | 0.914856i | ||||
\(772\) | 3.43251 | − | 1.52825i | 0.123539 | − | 0.0550030i | ||||
\(773\) | −23.0261 | + | 16.7294i | −0.828191 | + | 0.601716i | −0.919047 | − | 0.394148i | \(-0.871040\pi\) |
0.0908559 | + | 0.995864i | \(0.471040\pi\) | |||||||
\(774\) | −2.04252 | −0.0734170 | ||||||||
\(775\) | 26.7979 | − | 2.42617i | 0.962610 | − | 0.0871507i | ||||
\(776\) | −11.1477 | −0.400178 | ||||||||
\(777\) | −8.60591 | + | 6.25256i | −0.308735 | + | 0.224309i | ||||
\(778\) | 4.81660 | − | 2.14449i | 0.172683 | − | 0.0768836i | ||||
\(779\) | −0.196409 | + | 0.604484i | −0.00703708 | + | 0.0216579i | ||||
\(780\) | 0.632818 | + | 1.09607i | 0.0226585 | + | 0.0392457i | ||||
\(781\) | −10.1631 | + | 17.6029i | −0.363663 | + | 0.629882i | ||||
\(782\) | 34.3426 | + | 38.1413i | 1.22809 | + | 1.36393i | ||||
\(783\) | 15.8110 | + | 48.6611i | 0.565038 | + | 1.73901i | ||||
\(784\) | −3.70577 | + | 4.11567i | −0.132349 | + | 0.146988i | ||||
\(785\) | −2.60489 | − | 1.15977i | −0.0929726 | − | 0.0413941i | ||||
\(786\) | −23.7206 | + | 5.04197i | −0.846085 | + | 0.179841i | ||||
\(787\) | −4.41260 | − | 41.9831i | −0.157292 | − | 1.49654i | −0.733756 | − | 0.679414i | \(-0.762234\pi\) |
0.576463 | − | 0.817123i | \(-0.304432\pi\) | |||||||
\(788\) | 1.15668 | − | 11.0051i | 0.0412051 | − | 0.392040i | ||||
\(789\) | 28.3289 | + | 6.02150i | 1.00854 | + | 0.214371i | ||||
\(790\) | −2.00052 | − | 1.45346i | −0.0711754 | − | 0.0517120i | ||||
\(791\) | −11.1384 | − | 8.09255i | −0.396037 | − | 0.287738i | ||||
\(792\) | 0.921892 | + | 0.195954i | 0.0327580 | + | 0.00696293i | ||||
\(793\) | 0.289291 | − | 2.75242i | 0.0102730 | − | 0.0977414i | ||||
\(794\) | −1.96592 | − | 18.7045i | −0.0697681 | − | 0.663799i | ||||
\(795\) | −1.87266 | + | 0.398047i | −0.0664166 | + | 0.0141173i | ||||
\(796\) | −3.49537 | − | 1.55624i | −0.123890 | − | 0.0551594i | ||||
\(797\) | 4.64428 | − | 5.15800i | 0.164509 | − | 0.182706i | −0.655254 | − | 0.755409i | \(-0.727438\pi\) |
0.819763 | + | 0.572703i | \(0.194105\pi\) | |||||||
\(798\) | 0.178068 | + | 0.548036i | 0.00630353 | + | 0.0194003i | ||||
\(799\) | −7.99192 | − | 8.87593i | −0.282734 | − | 0.314008i | ||||
\(800\) | 2.41637 | − | 4.18527i | 0.0854315 | − | 0.147972i | ||||
\(801\) | −0.224006 | − | 0.387989i | −0.00791485 | − | 0.0137089i | ||||
\(802\) | −7.20114 | + | 22.1628i | −0.254281 | + | 0.782596i | ||||
\(803\) | 15.4523 | − | 6.87982i | 0.545301 | − | 0.242783i | ||||
\(804\) | 10.5268 | − | 7.64820i | 0.371253 | − | 0.269731i | ||||
\(805\) | 3.14748 | 0.110934 | ||||||||
\(806\) | −4.47120 | + | 9.66470i | −0.157491 | + | 0.340425i | ||||
\(807\) | 20.3278 | 0.715573 | ||||||||
\(808\) | 4.55705 | − | 3.31089i | 0.160316 | − | 0.116477i | ||||
\(809\) | 16.1722 | − | 7.20033i | 0.568584 | − | 0.253150i | −0.102248 | − | 0.994759i | \(-0.532604\pi\) |
0.670833 | + | 0.741609i | \(0.265937\pi\) | |||||||
\(810\) | −0.974169 | + | 2.99819i | −0.0342288 | + | 0.105345i | ||||
\(811\) | −10.3266 | − | 17.8862i | −0.362615 | − | 0.628068i | 0.625775 | − | 0.780003i | \(-0.284783\pi\) |
−0.988390 | + | 0.151936i | \(0.951449\pi\) | |||||||
\(812\) | 5.65244 | − | 9.79031i | 0.198362 | − | 0.343572i | ||||
\(813\) | 11.8052 | + | 13.1110i | 0.414027 | + | 0.459823i | ||||
\(814\) | 4.14608 | + | 12.7603i | 0.145320 | + | 0.447250i | ||||
\(815\) | 5.25515 | − | 5.83644i | 0.184080 | − | 0.204442i | ||||
\(816\) | 11.9185 | + | 5.30648i | 0.417232 | + | 0.185764i | ||||
\(817\) | −1.54069 | + | 0.327484i | −0.0539019 | + | 0.0114572i | ||||
\(818\) | 0.891248 | + | 8.47965i | 0.0311617 | + | 0.296484i | ||||
\(819\) | −0.0923268 | + | 0.878431i | −0.00322616 | + | 0.0306949i | ||||
\(820\) | 0.863204 | + | 0.183480i | 0.0301444 | + | 0.00640739i | ||||
\(821\) | 21.3750 | + | 15.5298i | 0.745993 | + | 0.541995i | 0.894582 | − | 0.446904i | \(-0.147473\pi\) |
−0.148590 | + | 0.988899i | \(0.547473\pi\) | |||||||
\(822\) | 12.7713 | + | 9.27886i | 0.445449 | + | 0.323638i | ||||
\(823\) | 20.3638 | + | 4.32846i | 0.709838 | + | 0.150881i | 0.548661 | − | 0.836045i | \(-0.315138\pi\) |
0.161177 | + | 0.986926i | \(0.448471\pi\) | |||||||
\(824\) | 1.68487 | − | 16.0305i | 0.0586952 | − | 0.558448i | ||||
\(825\) | 2.01682 | + | 19.1887i | 0.0702166 | + | 0.668066i | ||||
\(826\) | −11.2249 | + | 2.38592i | −0.390563 | + | 0.0830167i | ||||
\(827\) | 7.08457 | + | 3.15425i | 0.246355 | + | 0.109684i | 0.526200 | − | 0.850361i | \(-0.323616\pi\) |
−0.279845 | + | 0.960045i | \(0.590283\pi\) | |||||||
\(828\) | −1.62687 | + | 1.80682i | −0.0565376 | + | 0.0627914i | ||||
\(829\) | −5.96278 | − | 18.3516i | −0.207096 | − | 0.637376i | −0.999621 | − | 0.0275364i | \(-0.991234\pi\) |
0.792525 | − | 0.609840i | \(-0.208766\pi\) | |||||||
\(830\) | −1.38335 | − | 1.53636i | −0.0480166 | − | 0.0533279i | ||||
\(831\) | −10.8079 | + | 18.7198i | −0.374922 | + | 0.649384i | ||||
\(832\) | 0.956295 | + | 1.65635i | 0.0331536 | + | 0.0574237i | ||||
\(833\) | −13.7992 | + | 42.4697i | −0.478115 | + | 1.47149i | ||||
\(834\) | 28.9356 | − | 12.8830i | 1.00196 | − | 0.446100i | ||||
\(835\) | 4.14061 | − | 3.00833i | 0.143292 | − | 0.104107i | ||||
\(836\) | 0.726808 | 0.0251372 | ||||||||
\(837\) | −29.1092 | + | 8.99590i | −1.00616 | + | 0.310944i | ||||
\(838\) | 11.2551 | 0.388802 | ||||||||
\(839\) | −42.3183 | + | 30.7460i | −1.46099 | + | 1.06147i | −0.477886 | + | 0.878422i | \(0.658597\pi\) |
−0.983104 | + | 0.183049i | \(0.941403\pi\) | |||||||
\(840\) | 0.730909 | − | 0.325422i | 0.0252188 | − | 0.0112281i | ||||
\(841\) | 18.0545 | − | 55.5659i | 0.622568 | − | 1.91607i | ||||
\(842\) | −7.92045 | − | 13.7186i | −0.272957 | − | 0.472775i | ||||
\(843\) | −3.47181 | + | 6.01336i | −0.119576 | + | 0.207111i | ||||
\(844\) | 6.15296 | + | 6.83355i | 0.211794 | + | 0.235221i | ||||
\(845\) | −1.18065 | − | 3.63367i | −0.0406156 | − | 0.125002i | ||||
\(846\) | 0.378591 | − | 0.420468i | 0.0130162 | − | 0.0144560i | ||||
\(847\) | −5.42502 | − | 2.41537i | −0.186406 | − | 0.0829932i | ||||
\(848\) | −2.82991 | + | 0.601517i | −0.0971797 | + | 0.0206562i | ||||
\(849\) | −3.72066 | − | 35.3997i | −0.127693 | − | 1.21491i | ||||
\(850\) | 4.07317 | − | 38.7537i | 0.139709 | − | 1.32924i | ||||
\(851\) | −33.8553 | − | 7.19616i | −1.16054 | − | 0.246681i | ||||
\(852\) | −10.7832 | − | 7.83447i | −0.369427 | − | 0.268404i | ||||
\(853\) | 15.1645 | + | 11.0177i | 0.519224 | + | 0.377238i | 0.816311 | − | 0.577612i | \(-0.196015\pi\) |
−0.297088 | + | 0.954850i | \(0.596015\pi\) | |||||||
\(854\) | −1.71132 | − | 0.363751i | −0.0585600 | − | 0.0124473i | ||||
\(855\) | 0.00480980 | − | 0.0457622i | 0.000164492 | − | 0.00156503i | ||||
\(856\) | 1.25829 | + | 11.9718i | 0.0430073 | + | 0.409187i | ||||
\(857\) | −2.20501 | + | 0.468690i | −0.0753217 | + | 0.0160101i | −0.245418 | − | 0.969417i | \(-0.578925\pi\) |
0.170097 | + | 0.985427i | \(0.445592\pi\) | |||||||
\(858\) | −6.97575 | − | 3.10580i | −0.238148 | − | 0.106030i | ||||
\(859\) | 22.7792 | − | 25.2989i | 0.777216 | − | 0.863186i | −0.216364 | − | 0.976313i | \(-0.569420\pi\) |
0.993581 | + | 0.113127i | \(0.0360866\pi\) | |||||||
\(860\) | 0.675809 | + | 2.07993i | 0.0230449 | + | 0.0709249i | ||||
\(861\) | −2.82459 | − | 3.13703i | −0.0962618 | − | 0.106910i | ||||
\(862\) | −8.23676 | + | 14.2665i | −0.280545 | + | 0.485918i | ||||
\(863\) | −11.9533 | − | 20.7037i | −0.406895 | − | 0.704764i | 0.587645 | − | 0.809119i | \(-0.300055\pi\) |
−0.994540 | + | 0.104356i | \(0.966722\pi\) | |||||||
\(864\) | −1.69098 | + | 5.20431i | −0.0575284 | + | 0.177054i | ||||
\(865\) | −7.74599 | + | 3.44874i | −0.263372 | + | 0.117261i | ||||
\(866\) | −6.70544 | + | 4.87178i | −0.227860 | + | 0.165550i | ||||
\(867\) | 77.6891 | 2.63846 | ||||||||
\(868\) | 5.78069 | + | 3.44964i | 0.196209 | + | 0.117089i | ||||
\(869\) | 14.9189 | 0.506090 | ||||||||
\(870\) | 5.00568 | − | 3.63684i | 0.169708 | − | 0.123300i | ||||
\(871\) | 14.0509 | − | 6.25588i | 0.476098 | − | 0.211972i | ||||
\(872\) | −5.90918 | + | 18.1866i | −0.200110 | + | 0.615875i | ||||
\(873\) | −2.12902 | − | 3.68757i | −0.0720563 | − | 0.124805i | ||||
\(874\) | −0.937466 | + | 1.62374i | −0.0317103 | + | 0.0549238i | ||||
\(875\) | −3.25335 | − | 3.61321i | −0.109983 | − | 0.122149i | ||||
\(876\) | 3.42754 | + | 10.5489i | 0.115806 | + | 0.356414i | ||||
\(877\) | 27.4444 | − | 30.4801i | 0.926733 | − | 1.02924i | −0.0727586 | − | 0.997350i | \(-0.523180\pi\) |
0.999491 | − | 0.0318914i | \(-0.0101531\pi\) | |||||||
\(878\) | −23.5370 | − | 10.4793i | −0.794334 | − | 0.353660i | ||||
\(879\) | 20.2225 | − | 4.29842i | 0.682088 | − | 0.144982i | ||||
\(880\) | −0.105484 | − | 1.00361i | −0.00355585 | − | 0.0338316i | ||||
\(881\) | −1.29412 | + | 12.3128i | −0.0436001 | + | 0.414828i | 0.950853 | + | 0.309644i | \(0.100210\pi\) |
−0.994453 | + | 0.105184i | \(0.966457\pi\) | |||||||
\(882\) | −2.06917 | − | 0.439816i | −0.0696726 | − | 0.0148094i | ||||
\(883\) | −20.8574 | − | 15.1538i | −0.701908 | − | 0.509966i | 0.178645 | − | 0.983914i | \(-0.442829\pi\) |
−0.880553 | + | 0.473948i | \(0.842829\pi\) | |||||||
\(884\) | 12.4763 | + | 9.06454i | 0.419622 | + | 0.304874i | ||||
\(885\) | −6.14357 | − | 1.30586i | −0.206514 | − | 0.0438959i | ||||
\(886\) | −2.07953 | + | 19.7854i | −0.0698632 | + | 0.664704i | ||||
\(887\) | 2.14675 | + | 20.4249i | 0.0720808 | + | 0.685803i | 0.969578 | + | 0.244783i | \(0.0787166\pi\) |
−0.897497 | + | 0.441020i | \(0.854617\pi\) | |||||||
\(888\) | −8.60591 | + | 1.82924i | −0.288795 | + | 0.0613854i | ||||
\(889\) | −18.7419 | − | 8.34441i | −0.628582 | − | 0.279863i | ||||
\(890\) | −0.320977 | + | 0.356481i | −0.0107592 | + | 0.0119493i | ||||
\(891\) | −5.87742 | − | 18.0888i | −0.196901 | − | 0.605999i | ||||
\(892\) | −12.7393 | − | 14.1484i | −0.426543 | − | 0.473724i | ||||
\(893\) | 0.218159 | − | 0.377863i | 0.00730042 | − | 0.0126447i | ||||
\(894\) | −12.8252 | − | 22.2139i | −0.428938 | − | 0.742943i | ||||
\(895\) | −0.216690 | + | 0.666904i | −0.00724315 | + | 0.0222921i | ||||
\(896\) | 1.10453 | − | 0.491768i | 0.0368997 | − | 0.0164288i | ||||
\(897\) | 15.9362 | − | 11.5783i | 0.532094 | − | 0.386589i | ||||
\(898\) | −12.5019 | −0.417194 | ||||||||
\(899\) | 49.2742 | + | 16.8000i | 1.64339 | + | 0.560312i | ||||
\(900\) | 1.84594 | 0.0615314 | ||||||||
\(901\) | −18.8726 | + | 13.7117i | −0.628737 | + | 0.456805i | ||||
\(902\) | −4.86398 | + | 2.16558i | −0.161953 | + | 0.0721060i | ||||
\(903\) | 3.23265 | − | 9.94909i | 0.107576 | − | 0.331085i | ||||
\(904\) | −5.69364 | − | 9.86168i | −0.189368 | − | 0.327994i | ||||
\(905\) | −1.09805 | + | 1.90188i | −0.0365004 | + | 0.0632206i | ||||
\(906\) | 8.25569 | + | 9.16887i | 0.274277 | + | 0.304615i | ||||
\(907\) | 6.00339 | + | 18.4765i | 0.199339 | + | 0.613503i | 0.999898 | + | 0.0142494i | \(0.00453589\pi\) |
−0.800559 | + | 0.599254i | \(0.795464\pi\) | |||||||
\(908\) | −8.47293 | + | 9.41014i | −0.281184 | + | 0.312286i | ||||
\(909\) | 1.96553 | + | 0.875112i | 0.0651926 | + | 0.0290256i | ||||
\(910\) | 0.925065 | − | 0.196629i | 0.0306656 | − | 0.00651817i | ||||
\(911\) | 6.14715 | + | 58.4862i | 0.203664 | + | 1.93774i | 0.326262 | + | 0.945279i | \(0.394211\pi\) |
−0.122598 | + | 0.992456i | \(0.539123\pi\) | |||||||
\(912\) | −0.0498185 | + | 0.473991i | −0.00164966 | + | 0.0156954i | ||||
\(913\) | 12.2005 | + | 2.59329i | 0.403777 | + | 0.0858254i | ||||
\(914\) | −22.5237 | − | 16.3644i | −0.745016 | − | 0.541286i | ||||
\(915\) | −0.774682 | − | 0.562839i | −0.0256102 | − | 0.0186069i | ||||
\(916\) | −8.00420 | − | 1.70135i | −0.264466 | − | 0.0562141i | ||||
\(917\) | −1.89415 | + | 18.0216i | −0.0625504 | + | 0.595127i | ||||
\(918\) | 4.61208 | + | 43.8810i | 0.152221 | + | 1.44829i | ||||
\(919\) | 44.3455 | − | 9.42592i | 1.46282 | − | 0.310932i | 0.593362 | − | 0.804936i | \(-0.297800\pi\) |
0.869460 | + | 0.494003i | \(0.164467\pi\) | |||||||
\(920\) | 2.37819 | + | 1.05884i | 0.0784065 | + | 0.0349088i | ||||
\(921\) | 9.76580 | − | 10.8460i | 0.321794 | − | 0.357389i | ||||
\(922\) | 10.9622 | + | 33.7383i | 0.361022 | + | 1.11111i | ||||
\(923\) | −10.5423 | − | 11.7084i | −0.347005 | − | 0.385388i | ||||
\(924\) | −2.41355 | + | 4.18038i | −0.0793998 | + | 0.137525i | ||||
\(925\) | 13.1392 | + | 22.7577i | 0.432013 | + | 0.748269i | ||||
\(926\) | 6.28574 | − | 19.3455i | 0.206562 | − | 0.635733i | ||||
\(927\) | 5.62453 | − | 2.50420i | 0.184734 | − | 0.0822488i | ||||
\(928\) | 7.56444 | − | 5.49589i | 0.248315 | − | 0.180411i | ||||
\(929\) | 2.82441 | 0.0926658 | 0.0463329 | − | 0.998926i | \(-0.485246\pi\) | ||||
0.0463329 | + | 0.998926i | \(0.485246\pi\) | |||||||
\(930\) | 2.12240 | + | 3.01169i | 0.0695963 | + | 0.0987571i | ||||
\(931\) | −1.63131 | −0.0534639 | ||||||||
\(932\) | −16.2543 | + | 11.8094i | −0.532427 | + | 0.386831i | ||||
\(933\) | 12.9157 | − | 5.75042i | 0.422839 | − | 0.188260i | ||||
\(934\) | −0.305590 | + | 0.940510i | −0.00999921 | + | 0.0307744i | ||||
\(935\) | −4.06842 | − | 7.04670i | −0.133051 | − | 0.230452i | ||||
\(936\) | −0.365272 | + | 0.632670i | −0.0119393 | + | 0.0206795i | ||||
\(937\) | 18.3389 | + | 20.3674i | 0.599105 | + | 0.665373i | 0.964070 | − | 0.265648i | \(-0.0855858\pi\) |
−0.364965 | + | 0.931021i | \(0.618919\pi\) | |||||||
\(938\) | −3.00457 | − | 9.24711i | −0.0981026 | − | 0.301929i | ||||
\(939\) | 22.5867 | − | 25.0851i | 0.737090 | − | 0.818621i | ||||
\(940\) | −0.553432 | − | 0.246404i | −0.0180510 | − | 0.00803680i | ||||
\(941\) | 36.9164 | − | 7.84682i | 1.20344 | − | 0.255799i | 0.437803 | − | 0.899071i | \(-0.355757\pi\) |
0.765638 | + | 0.643272i | \(0.222424\pi\) | |||||||
\(942\) | 1.17919 | + | 11.2192i | 0.0384200 | + | 0.365542i | ||||
\(943\) | 1.43569 | − | 13.6597i | 0.0467526 | − | 0.444821i | ||||
\(944\) | −9.28398 | − | 1.97337i | −0.302168 | − | 0.0642277i | ||||
\(945\) | 2.18907 | + | 1.59045i | 0.0712105 | + | 0.0517375i | ||||
\(946\) | −10.6746 | − | 7.75554i | −0.347061 | − | 0.252154i | ||||
\(947\) | −59.0298 | − | 12.5472i | −1.91821 | − | 0.407728i | −0.999930 | − | 0.0117942i | \(-0.996246\pi\) |
−0.918279 | − | 0.395934i | \(-0.870421\pi\) | |||||||
\(948\) | −1.02261 | + | 9.72946i | −0.0332128 | + | 0.315998i | ||||
\(949\) | 1.37047 | + | 13.0391i | 0.0444873 | + | 0.423268i | ||||
\(950\) | 1.39241 | − | 0.295965i | 0.0451756 | − | 0.00960238i | ||||
\(951\) | −31.2124 | − | 13.8966i | −1.01213 | − | 0.450630i | ||||
\(952\) | 6.52323 | − | 7.24478i | 0.211419 | − | 0.234805i | ||||
\(953\) | 1.77899 | + | 5.47518i | 0.0576272 | + | 0.177358i | 0.975727 | − | 0.218992i | \(-0.0702767\pi\) |
−0.918100 | + | 0.396350i | \(0.870277\pi\) | |||||||
\(954\) | −0.739443 | − | 0.821234i | −0.0239403 | − | 0.0265884i | ||||
\(955\) | 0.955663 | − | 1.65526i | 0.0309245 | − | 0.0535629i | ||||
\(956\) | 11.3284 | + | 19.6213i | 0.366386 | + | 0.634599i | ||||
\(957\) | −11.5356 | + | 35.5029i | −0.372893 | + | 1.14765i | ||||
\(958\) | −2.22011 | + | 0.988458i | −0.0717286 | + | 0.0319356i | ||||
\(959\) | 9.54317 | − | 6.93352i | 0.308165 | − | 0.223895i | ||||
\(960\) | 0.661739 | 0.0213575 | ||||||||
\(961\) | −10.4263 | + | 29.1940i | −0.336332 | + | 0.941743i | ||||
\(962\) | −10.3998 | −0.335304 | ||||||||
\(963\) | −3.71986 | + | 2.70264i | −0.119871 | + | 0.0870913i | ||||
\(964\) | −26.8003 | + | 11.9323i | −0.863181 | + | 0.384313i | ||||
\(965\) | 0.474857 | − | 1.46146i | 0.0152862 | − | 0.0470461i | ||||
\(966\) | −6.22618 | − | 10.7841i | −0.200324 | − | 0.346971i | ||||
\(967\) | −11.5441 | + | 19.9949i | −0.371233 | + | 0.642994i | −0.989755 | − | 0.142773i | \(-0.954398\pi\) |
0.618523 | + | 0.785767i | \(0.287732\pi\) | |||||||
\(968\) | −3.28651 | − | 3.65004i | −0.105632 | − | 0.117317i | ||||
\(969\) | 1.18753 | + | 3.65483i | 0.0381489 | + | 0.117410i | ||||
\(970\) | −3.05066 | + | 3.38811i | −0.0979509 | + | 0.108786i | ||||
\(971\) | −48.4893 | − | 21.5888i | −1.55610 | − | 0.692818i | −0.564892 | − | 0.825165i | \(-0.691082\pi\) |
−0.991203 | + | 0.132347i | \(0.957749\pi\) | |||||||
\(972\) | −3.85808 | + | 0.820060i | −0.123748 | + | 0.0263034i | ||||
\(973\) | −2.47398 | − | 23.5383i | −0.0793121 | − | 0.754604i | ||||
\(974\) | 0.162184 | − | 1.54308i | 0.00519672 | − | 0.0494435i | ||||
\(975\) | −14.6288 | − | 3.10944i | −0.468495 | − | 0.0995817i | ||||
\(976\) | −1.17068 | − | 0.850546i | −0.0374724 | − | 0.0272253i | ||||
\(977\) | −35.9665 | − | 26.1312i | −1.15067 | − | 0.836011i | −0.162100 | − | 0.986774i | \(-0.551827\pi\) |
−0.988570 | + | 0.150764i | \(0.951827\pi\) | |||||||
\(978\) | −30.3926 | − | 6.46014i | −0.971847 | − | 0.206573i | ||||
\(979\) | 0.302517 | − | 2.87826i | 0.00966849 | − | 0.0919895i | ||||
\(980\) | 0.236756 | + | 2.25258i | 0.00756289 | + | 0.0719561i | ||||
\(981\) | −7.14453 | + | 1.51862i | −0.228107 | + | 0.0484857i | ||||
\(982\) | 7.32350 | + | 3.26063i | 0.233702 | + | 0.104051i | ||||
\(983\) | 24.0819 | − | 26.7457i | 0.768094 | − | 0.853055i | −0.224507 | − | 0.974472i | \(-0.572077\pi\) |
0.992602 | + | 0.121417i | \(0.0387440\pi\) | |||||||
\(984\) | −1.07890 | − | 3.32051i | −0.0343940 | − | 0.105854i | ||||
\(985\) | −3.02823 | − | 3.36319i | −0.0964875 | − | 0.107160i | ||||
\(986\) | 37.6959 | − | 65.2912i | 1.20048 | − | 2.07930i | ||||
\(987\) | 1.44890 | + | 2.50957i | 0.0461191 | + | 0.0798806i | ||||
\(988\) | −0.174090 | + | 0.535793i | −0.00553853 | + | 0.0170458i | ||||
\(989\) | 31.0949 | − | 13.8444i | 0.988761 | − | 0.440225i | ||||
\(990\) | 0.311840 | − | 0.226565i | 0.00991094 | − | 0.00720072i | ||||
\(991\) | 27.2175 | 0.864594 | 0.432297 | − | 0.901731i | \(-0.357703\pi\) | ||||
0.432297 | + | 0.901731i | \(0.357703\pi\) | |||||||
\(992\) | 3.20731 | + | 4.55117i | 0.101832 | + | 0.144500i | ||||
\(993\) | −44.5764 | −1.41459 | ||||||||
\(994\) | −8.05764 | + | 5.85421i | −0.255573 | + | 0.185684i | ||||
\(995\) | −1.42953 | + | 0.636466i | −0.0453190 | + | 0.0201773i | ||||
\(996\) | −2.52750 | + | 7.77884i | −0.0800869 | + | 0.246482i | ||||
\(997\) | −10.5995 | − | 18.3589i | −0.335691 | − | 0.581433i | 0.647927 | − | 0.761703i | \(-0.275636\pi\) |
−0.983617 | + | 0.180270i | \(0.942303\pi\) | |||||||
\(998\) | 13.0640 | − | 22.6275i | 0.413533 | − | 0.716260i | ||||
\(999\) | −19.9101 | − | 22.1124i | −0.629926 | − | 0.699604i |
(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 | 62.2.g.a.49.1 | yes | 8 | |
3.2 | odd | 2 | 558.2.ba.f.235.1 | 8 | |||
4.3 | odd | 2 | 496.2.bg.a.49.1 | 8 | |||
31.9 | even | 15 | 1922.2.a.q.1.3 | 4 | |||
31.19 | even | 15 | inner | 62.2.g.a.19.1 | ✓ | 8 | |
31.22 | odd | 30 | 1922.2.a.o.1.1 | 4 | |||
93.50 | odd | 30 | 558.2.ba.f.19.1 | 8 | |||
124.19 | odd | 30 | 496.2.bg.a.81.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
62.2.g.a.19.1 | ✓ | 8 | 31.19 | even | 15 | inner | |
62.2.g.a.49.1 | yes | 8 | 1.1 | even | 1 | trivial | |
496.2.bg.a.49.1 | 8 | 4.3 | odd | 2 | |||
496.2.bg.a.81.1 | 8 | 124.19 | odd | 30 | |||
558.2.ba.f.19.1 | 8 | 93.50 | odd | 30 | |||
558.2.ba.f.235.1 | 8 | 3.2 | odd | 2 | |||
1922.2.a.o.1.1 | 4 | 31.22 | odd | 30 | |||
1922.2.a.q.1.3 | 4 | 31.9 | even | 15 |