Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(19,462)]
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([0, 25, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.ba (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: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 73.2 | ||
Character | \(\chi\) | \(=\) | 462.73 |
Dual form | 462.2.ba.a.19.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.994522 | − | 0.104528i | −0.703233 | − | 0.0739128i | ||||
\(3\) | 0.743145 | − | 0.669131i | 0.429055 | − | 0.386323i | ||||
\(4\) | 0.978148 | + | 0.207912i | 0.489074 | + | 0.103956i | ||||
\(5\) | −0.716911 | + | 1.61021i | −0.320612 | + | 0.720107i | −0.999905 | − | 0.0137600i | \(-0.995620\pi\) |
0.679293 | + | 0.733867i | \(0.262287\pi\) | |||||||
\(6\) | −0.809017 | + | 0.587785i | −0.330280 | + | 0.239962i | ||||
\(7\) | 1.87226 | − | 1.86939i | 0.707649 | − | 0.706564i | ||||
\(8\) | −0.951057 | − | 0.309017i | −0.336249 | − | 0.109254i | ||||
\(9\) | 0.104528 | − | 0.994522i | 0.0348428 | − | 0.331507i | ||||
\(10\) | 0.881296 | − | 1.52645i | 0.278690 | − | 0.482706i | ||||
\(11\) | 3.30708 | + | 0.251417i | 0.997123 | + | 0.0758050i | ||||
\(12\) | 0.866025 | − | 0.500000i | 0.250000 | − | 0.144338i | ||||
\(13\) | −4.51584 | − | 3.28095i | −1.25247 | − | 0.909971i | −0.254105 | − | 0.967177i | \(-0.581781\pi\) |
−0.998362 | + | 0.0572055i | \(0.981781\pi\) | |||||||
\(14\) | −2.05741 | + | 1.66345i | −0.549867 | + | 0.444575i | ||||
\(15\) | 0.544671 | + | 1.67633i | 0.140633 | + | 0.432825i | ||||
\(16\) | 0.913545 | + | 0.406737i | 0.228386 | + | 0.101684i | ||||
\(17\) | 0.164901 | + | 1.56893i | 0.0399943 | + | 0.380520i | 0.996150 | + | 0.0876624i | \(0.0279397\pi\) |
−0.956156 | + | 0.292858i | \(0.905394\pi\) | |||||||
\(18\) | −0.207912 | + | 0.978148i | −0.0490053 | + | 0.230552i | ||||
\(19\) | 8.01319 | − | 1.70326i | 1.83835 | − | 0.390754i | 0.848077 | − | 0.529873i | \(-0.177760\pi\) |
0.990276 | + | 0.139119i | \(0.0444269\pi\) | |||||||
\(20\) | −1.03603 | + | 1.42597i | −0.231662 | + | 0.318856i | ||||
\(21\) | 0.140496 | − | 2.64202i | 0.0306587 | − | 0.576536i | ||||
\(22\) | −3.26268 | − | 0.595724i | −0.695607 | − | 0.127009i | ||||
\(23\) | 1.59448 | + | 2.76172i | 0.332472 | + | 0.575859i | 0.982996 | − | 0.183627i | \(-0.0587839\pi\) |
−0.650524 | + | 0.759486i | \(0.725451\pi\) | |||||||
\(24\) | −0.913545 | + | 0.406737i | −0.186477 | + | 0.0830248i | ||||
\(25\) | 1.26684 | + | 1.40697i | 0.253368 | + | 0.281394i | ||||
\(26\) | 4.14815 | + | 3.73501i | 0.813518 | + | 0.732495i | ||||
\(27\) | −0.587785 | − | 0.809017i | −0.113119 | − | 0.155695i | ||||
\(28\) | 2.22002 | − | 1.43928i | 0.419544 | − | 0.271998i | ||||
\(29\) | 3.68375 | − | 1.19692i | 0.684055 | − | 0.222263i | 0.0536851 | − | 0.998558i | \(-0.482903\pi\) |
0.630370 | + | 0.776295i | \(0.282903\pi\) | |||||||
\(30\) | −0.366464 | − | 1.72408i | −0.0669068 | − | 0.314772i | ||||
\(31\) | −2.22993 | − | 5.00850i | −0.400507 | − | 0.899553i | −0.995405 | − | 0.0957521i | \(-0.969474\pi\) |
0.594898 | − | 0.803801i | \(-0.297192\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 2.62587 | − | 2.02603i | 0.457106 | − | 0.352687i | ||||
\(34\) | − | 1.57757i | − | 0.270551i | ||||||
\(35\) | 1.66786 | + | 4.35492i | 0.281921 | + | 0.736117i | ||||
\(36\) | 0.309017 | − | 0.951057i | 0.0515028 | − | 0.158509i | ||||
\(37\) | 0.688318 | − | 0.764454i | 0.113159 | − | 0.125675i | −0.683904 | − | 0.729572i | \(-0.739719\pi\) |
0.797063 | + | 0.603896i | \(0.206386\pi\) | |||||||
\(38\) | −8.14734 | + | 0.856320i | −1.32167 | + | 0.138913i | ||||
\(39\) | −5.55130 | + | 0.583465i | −0.888920 | + | 0.0934292i | ||||
\(40\) | 1.17940 | − | 1.30986i | 0.186480 | − | 0.207107i | ||||
\(41\) | 2.03783 | − | 6.27181i | 0.318256 | − | 0.979492i | −0.656137 | − | 0.754642i | \(-0.727811\pi\) |
0.974393 | − | 0.224850i | \(-0.0721893\pi\) | |||||||
\(42\) | −0.415892 | + | 2.61286i | −0.0641736 | + | 0.403173i | ||||
\(43\) | 0.237804i | 0.0362648i | 0.999836 | + | 0.0181324i | \(0.00577204\pi\) | ||||
−0.999836 | + | 0.0181324i | \(0.994228\pi\) | |||||||
\(44\) | 3.18254 | + | 0.933504i | 0.479786 | + | 0.140731i | ||||
\(45\) | 1.52645 | + | 0.881296i | 0.227550 | + | 0.131376i | ||||
\(46\) | −1.29707 | − | 2.91326i | −0.191242 | − | 0.429537i | ||||
\(47\) | 0.287918 | + | 1.35455i | 0.0419972 | + | 0.197581i | 0.994145 | − | 0.108058i | \(-0.0344632\pi\) |
−0.952147 | + | 0.305639i | \(0.901130\pi\) | |||||||
\(48\) | 0.951057 | − | 0.309017i | 0.137273 | − | 0.0446028i | ||||
\(49\) | 0.0107455 | − | 6.99999i | 0.00153506 | − | 0.999999i | ||||
\(50\) | −1.11283 | − | 1.53168i | −0.157378 | − | 0.216613i | ||||
\(51\) | 1.17236 | + | 1.05560i | 0.164163 | + | 0.147813i | ||||
\(52\) | −3.73501 | − | 4.14815i | −0.517952 | − | 0.575244i | ||||
\(53\) | −6.91287 | + | 3.07781i | −0.949556 | + | 0.422770i | −0.822271 | − | 0.569096i | \(-0.807293\pi\) |
−0.127286 | + | 0.991866i | \(0.540626\pi\) | |||||||
\(54\) | 0.500000 | + | 0.866025i | 0.0680414 | + | 0.117851i | ||||
\(55\) | −2.77572 | + | 5.14485i | −0.374278 | + | 0.693731i | ||||
\(56\) | −2.35830 | + | 1.19934i | −0.315141 | + | 0.160268i | ||||
\(57\) | 4.81526 | − | 6.62764i | 0.637797 | − | 0.877852i | ||||
\(58\) | −3.78868 | + | 0.805309i | −0.497478 | + | 0.105742i | ||||
\(59\) | 1.40613 | − | 6.61530i | 0.183062 | − | 0.861239i | −0.786728 | − | 0.617299i | \(-0.788227\pi\) |
0.969790 | − | 0.243940i | \(-0.0784399\pi\) | |||||||
\(60\) | 0.184241 | + | 1.75294i | 0.0237854 | + | 0.226303i | ||||
\(61\) | 4.88024 | + | 2.17282i | 0.624851 | + | 0.278202i | 0.694637 | − | 0.719360i | \(-0.255565\pi\) |
−0.0697860 | + | 0.997562i | \(0.522232\pi\) | |||||||
\(62\) | 1.69418 | + | 5.21415i | 0.215161 | + | 0.662198i | ||||
\(63\) | −1.66345 | − | 2.05741i | −0.209575 | − | 0.259210i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 8.52046 | − | 4.91929i | 1.05683 | − | 0.610163i | ||||
\(66\) | −2.82326 | + | 1.74045i | −0.347520 | + | 0.214235i | ||||
\(67\) | −5.30356 | + | 9.18603i | −0.647933 | + | 1.12225i | 0.335683 | + | 0.941975i | \(0.391033\pi\) |
−0.983616 | + | 0.180277i | \(0.942301\pi\) | |||||||
\(68\) | −0.164901 | + | 1.56893i | −0.0199972 | + | 0.190260i | ||||
\(69\) | 3.03288 | + | 0.985443i | 0.365116 | + | 0.118633i | ||||
\(70\) | −1.20351 | − | 4.50541i | −0.143848 | − | 0.538499i | ||||
\(71\) | 0.175328 | − | 0.127383i | 0.0208075 | − | 0.0151176i | −0.577333 | − | 0.816509i | \(-0.695906\pi\) |
0.598140 | + | 0.801391i | \(0.295906\pi\) | |||||||
\(72\) | −0.406737 | + | 0.913545i | −0.0479344 | + | 0.107662i | ||||
\(73\) | 9.80345 | + | 2.08379i | 1.14741 | + | 0.243889i | 0.742098 | − | 0.670291i | \(-0.233831\pi\) |
0.405308 | + | 0.914180i | \(0.367164\pi\) | |||||||
\(74\) | −0.764454 | + | 0.688318i | −0.0888660 | + | 0.0800153i | ||||
\(75\) | 1.88289 | + | 0.197900i | 0.217418 | + | 0.0228515i | ||||
\(76\) | 8.19221 | 0.939711 | ||||||||
\(77\) | 6.66173 | − | 5.71151i | 0.759174 | − | 0.650887i | ||||
\(78\) | 5.58188 | 0.632024 | ||||||||
\(79\) | 1.57504 | + | 0.165543i | 0.177206 | + | 0.0186251i | 0.192716 | − | 0.981255i | \(-0.438270\pi\) |
−0.0155098 | + | 0.999880i | \(0.504937\pi\) | |||||||
\(80\) | −1.30986 | + | 1.17940i | −0.146447 | + | 0.131861i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −2.68225 | + | 6.02444i | −0.296205 | + | 0.665288i | ||||
\(83\) | −8.61257 | + | 6.25740i | −0.945353 | + | 0.686839i | −0.949703 | − | 0.313152i | \(-0.898615\pi\) |
0.00435058 | + | 0.999991i | \(0.498615\pi\) | |||||||
\(84\) | 0.686732 | − | 2.55507i | 0.0749286 | − | 0.278781i | ||||
\(85\) | −2.64452 | − | 0.859256i | −0.286838 | − | 0.0931994i | ||||
\(86\) | 0.0248573 | − | 0.236502i | 0.00268043 | − | 0.0255026i | ||||
\(87\) | 1.93666 | − | 3.35439i | 0.207632 | − | 0.359629i | ||||
\(88\) | −3.06753 | − | 1.26106i | −0.327000 | − | 0.134429i | ||||
\(89\) | −6.84058 | + | 3.94941i | −0.725100 | + | 0.418637i | −0.816627 | − | 0.577166i | \(-0.804159\pi\) |
0.0915270 | + | 0.995803i | \(0.470825\pi\) | |||||||
\(90\) | −1.42597 | − | 1.03603i | −0.150310 | − | 0.109207i | ||||
\(91\) | −14.5882 | + | 2.29907i | −1.52926 | + | 0.241008i | ||||
\(92\) | 0.985443 | + | 3.03288i | 0.102740 | + | 0.316200i | ||||
\(93\) | −5.00850 | − | 2.22993i | −0.519357 | − | 0.231233i | ||||
\(94\) | −0.144752 | − | 1.37722i | −0.0149300 | − | 0.142050i | ||||
\(95\) | −3.00215 | + | 14.1240i | −0.308014 | + | 1.44909i | ||||
\(96\) | −0.978148 | + | 0.207912i | −0.0998318 | + | 0.0212199i | ||||
\(97\) | −4.70842 | + | 6.48058i | −0.478068 | + | 0.658004i | −0.978132 | − | 0.207985i | \(-0.933310\pi\) |
0.500065 | + | 0.865988i | \(0.333310\pi\) | |||||||
\(98\) | −0.742385 | + | 6.96052i | −0.0749922 | + | 0.703119i | ||||
\(99\) | 0.595724 | − | 3.26268i | 0.0598725 | − | 0.327912i | ||||
\(100\) | 0.946633 | + | 1.63962i | 0.0946633 | + | 0.163962i | ||||
\(101\) | −17.1166 | + | 7.62082i | −1.70317 | + | 0.758300i | −0.704344 | + | 0.709859i | \(0.748759\pi\) |
−0.998826 | + | 0.0484414i | \(0.984575\pi\) | |||||||
\(102\) | −1.05560 | − | 1.17236i | −0.104520 | − | 0.116081i | ||||
\(103\) | −1.21705 | − | 1.09584i | −0.119920 | − | 0.107976i | 0.606989 | − | 0.794710i | \(-0.292377\pi\) |
−0.726909 | + | 0.686734i | \(0.759044\pi\) | |||||||
\(104\) | 3.28095 | + | 4.51584i | 0.321723 | + | 0.442814i | ||||
\(105\) | 4.15348 | + | 2.12032i | 0.405338 | + | 0.206922i | ||||
\(106\) | 7.19672 | − | 2.33836i | 0.699008 | − | 0.227121i | ||||
\(107\) | 0.390754 | + | 1.83835i | 0.0377756 | + | 0.177720i | 0.992991 | − | 0.118192i | \(-0.0377098\pi\) |
−0.955215 | + | 0.295912i | \(0.904376\pi\) | |||||||
\(108\) | −0.406737 | − | 0.913545i | −0.0391383 | − | 0.0879060i | ||||
\(109\) | −3.51016 | − | 2.02659i | −0.336213 | − | 0.194112i | 0.322383 | − | 0.946609i | \(-0.395516\pi\) |
−0.658596 | + | 0.752497i | \(0.728849\pi\) | |||||||
\(110\) | 3.29829 | − | 4.82652i | 0.314480 | − | 0.460191i | ||||
\(111\) | − | 1.02867i | − | 0.0976375i | ||||||
\(112\) | 2.47075 | − | 0.946256i | 0.233464 | − | 0.0894128i | ||||
\(113\) | −5.52686 | + | 17.0099i | −0.519923 | + | 1.60016i | 0.254219 | + | 0.967147i | \(0.418182\pi\) |
−0.774142 | + | 0.633012i | \(0.781818\pi\) | |||||||
\(114\) | −5.48166 | + | 6.08800i | −0.513405 | + | 0.570194i | ||||
\(115\) | −5.59005 | + | 0.587538i | −0.521275 | + | 0.0547882i | ||||
\(116\) | 3.85210 | − | 0.404872i | 0.357659 | − | 0.0375915i | ||||
\(117\) | −3.73501 | + | 4.14815i | −0.345302 | + | 0.383496i | ||||
\(118\) | −2.08991 | + | 6.43208i | −0.192392 | + | 0.592121i | ||||
\(119\) | 3.24168 | + | 2.62918i | 0.297164 | + | 0.241016i | ||||
\(120\) | − | 1.76259i | − | 0.160902i | ||||||
\(121\) | 10.8736 | + | 1.66291i | 0.988507 | + | 0.151174i | ||||
\(122\) | −4.62639 | − | 2.67105i | −0.418853 | − | 0.241825i | ||||
\(123\) | −2.68225 | − | 6.02444i | −0.241851 | − | 0.543206i | ||||
\(124\) | −1.13987 | − | 5.36268i | −0.102364 | − | 0.481583i | ||||
\(125\) | −11.5554 | + | 3.75456i | −1.03354 | + | 0.335818i | ||||
\(126\) | 1.43928 | + | 2.22002i | 0.128221 | + | 0.197775i | ||||
\(127\) | −6.97399 | − | 9.59887i | −0.618841 | − | 0.851762i | 0.378427 | − | 0.925631i | \(-0.376465\pi\) |
−0.997268 | + | 0.0738693i | \(0.976465\pi\) | |||||||
\(128\) | −0.743145 | − | 0.669131i | −0.0656853 | − | 0.0591433i | ||||
\(129\) | 0.159122 | + | 0.176723i | 0.0140099 | + | 0.0155596i | ||||
\(130\) | −8.98799 | + | 4.00171i | −0.788299 | + | 0.350973i | ||||
\(131\) | −9.26215 | − | 16.0425i | −0.809237 | − | 1.40164i | −0.913393 | − | 0.407079i | \(-0.866547\pi\) |
0.104155 | − | 0.994561i | \(-0.466786\pi\) | |||||||
\(132\) | 2.98973 | − | 1.43581i | 0.260222 | − | 0.124971i | ||||
\(133\) | 11.8188 | − | 18.1688i | 1.02482 | − | 1.57543i | ||||
\(134\) | 6.23470 | − | 8.58133i | 0.538596 | − | 0.741314i | ||||
\(135\) | 1.72408 | − | 0.366464i | 0.148385 | − | 0.0315402i | ||||
\(136\) | 0.327995 | − | 1.54309i | 0.0281253 | − | 0.132319i | ||||
\(137\) | 0.947755 | + | 9.01729i | 0.0809722 | + | 0.770399i | 0.957380 | + | 0.288830i | \(0.0932662\pi\) |
−0.876408 | + | 0.481569i | \(0.840067\pi\) | |||||||
\(138\) | −2.91326 | − | 1.29707i | −0.247993 | − | 0.110414i | ||||
\(139\) | 3.43271 | + | 10.5648i | 0.291159 | + | 0.896095i | 0.984485 | + | 0.175471i | \(0.0561447\pi\) |
−0.693326 | + | 0.720624i | \(0.743855\pi\) | |||||||
\(140\) | 0.725978 | + | 4.60653i | 0.0613564 | + | 0.389323i | ||||
\(141\) | 1.12033 | + | 0.813971i | 0.0943492 | + | 0.0685487i | ||||
\(142\) | −0.187682 | + | 0.108358i | −0.0157499 | + | 0.00909323i | ||||
\(143\) | −14.1094 | − | 11.9857i | −1.17988 | − | 1.00230i | ||||
\(144\) | 0.500000 | − | 0.866025i | 0.0416667 | − | 0.0721688i | ||||
\(145\) | −0.713625 | + | 6.78969i | −0.0592633 | + | 0.563853i | ||||
\(146\) | −9.53193 | − | 3.09711i | −0.788868 | − | 0.256319i | ||||
\(147\) | −4.67592 | − | 5.20920i | −0.385664 | − | 0.429647i | ||||
\(148\) | 0.832215 | − | 0.604640i | 0.0684077 | − | 0.0497011i | ||||
\(149\) | 5.36923 | − | 12.0595i | 0.439864 | − | 0.987951i | −0.548543 | − | 0.836123i | \(-0.684817\pi\) |
0.988407 | − | 0.151828i | \(-0.0485161\pi\) | |||||||
\(150\) | −1.85189 | − | 0.393632i | −0.151206 | − | 0.0321399i | ||||
\(151\) | −15.2288 | + | 13.7120i | −1.23930 | + | 1.11587i | −0.250266 | + | 0.968177i | \(0.580518\pi\) |
−0.989033 | + | 0.147693i | \(0.952815\pi\) | |||||||
\(152\) | −8.14734 | − | 0.856320i | −0.660836 | − | 0.0694567i | ||||
\(153\) | 1.57757 | 0.127539 | ||||||||
\(154\) | −7.22225 | + | 4.98389i | −0.581985 | + | 0.401613i | ||||
\(155\) | 9.66339 | 0.776182 | ||||||||
\(156\) | −5.55130 | − | 0.583465i | −0.444460 | − | 0.0467146i | ||||
\(157\) | −8.65887 | + | 7.79648i | −0.691053 | + | 0.622227i | −0.937932 | − | 0.346819i | \(-0.887262\pi\) |
0.246879 | + | 0.969046i | \(0.420595\pi\) | |||||||
\(158\) | −1.54911 | − | 0.329273i | −0.123240 | − | 0.0261956i | ||||
\(159\) | −3.07781 | + | 6.91287i | −0.244086 | + | 0.548227i | ||||
\(160\) | 1.42597 | − | 1.03603i | 0.112733 | − | 0.0819051i | ||||
\(161\) | 8.14803 | + | 2.18996i | 0.642155 | + | 0.172593i | ||||
\(162\) | 0.951057 | + | 0.309017i | 0.0747221 | + | 0.0242787i | ||||
\(163\) | −1.93063 | + | 18.3687i | −0.151219 | + | 1.43875i | 0.611102 | + | 0.791551i | \(0.290726\pi\) |
−0.762321 | + | 0.647199i | \(0.775940\pi\) | |||||||
\(164\) | 3.29729 | − | 5.71107i | 0.257475 | − | 0.445959i | ||||
\(165\) | 1.37982 | + | 5.68069i | 0.107419 | + | 0.442241i | ||||
\(166\) | 9.21947 | − | 5.32286i | 0.715569 | − | 0.413134i | ||||
\(167\) | −6.19748 | − | 4.50273i | −0.479575 | − | 0.348432i | 0.321586 | − | 0.946880i | \(-0.395784\pi\) |
−0.801161 | + | 0.598448i | \(0.795784\pi\) | |||||||
\(168\) | −0.950048 | + | 2.46929i | −0.0732978 | + | 0.190510i | ||||
\(169\) | 5.61094 | + | 17.2687i | 0.431611 | + | 1.32836i | ||||
\(170\) | 2.54021 | + | 1.13098i | 0.194825 | + | 0.0867419i | ||||
\(171\) | −0.856320 | − | 8.14734i | −0.0654844 | − | 0.623042i | ||||
\(172\) | −0.0494423 | + | 0.232608i | −0.00376994 | + | 0.0177362i | ||||
\(173\) | 25.4570 | − | 5.41105i | 1.93546 | − | 0.411394i | 0.937464 | − | 0.348082i | \(-0.113167\pi\) |
0.997994 | − | 0.0633117i | \(-0.0201662\pi\) | |||||||
\(174\) | −2.27668 | + | 3.13358i | −0.172595 | + | 0.237556i | ||||
\(175\) | 5.00204 | + | 0.265996i | 0.378119 | + | 0.0201074i | ||||
\(176\) | 2.91891 | + | 1.57479i | 0.220021 | + | 0.118704i | ||||
\(177\) | −3.38155 | − | 5.85701i | −0.254172 | − | 0.440240i | ||||
\(178\) | 7.21593 | − | 3.21274i | 0.540857 | − | 0.240805i | ||||
\(179\) | −7.88766 | − | 8.76013i | −0.589551 | − | 0.654763i | 0.372372 | − | 0.928084i | \(-0.378545\pi\) |
−0.961923 | + | 0.273321i | \(0.911878\pi\) | |||||||
\(180\) | 1.30986 | + | 1.17940i | 0.0976313 | + | 0.0879077i | ||||
\(181\) | −10.3319 | − | 14.2206i | −0.767961 | − | 1.05701i | −0.996510 | − | 0.0834747i | \(-0.973398\pi\) |
0.228549 | − | 0.973532i | \(-0.426602\pi\) | |||||||
\(182\) | 14.7486 | − | 0.761592i | 1.09324 | − | 0.0564529i | ||||
\(183\) | 5.08063 | − | 1.65080i | 0.375571 | − | 0.122030i | ||||
\(184\) | −0.663022 | − | 3.11927i | −0.0488786 | − | 0.229956i | ||||
\(185\) | 0.737468 | + | 1.65638i | 0.0542197 | + | 0.121780i | ||||
\(186\) | 4.74797 | + | 2.74124i | 0.348138 | + | 0.200998i | ||||
\(187\) | 0.150886 | + | 5.23002i | 0.0110339 | + | 0.382457i | ||||
\(188\) | 1.38481i | 0.100998i | ||||||||
\(189\) | −2.61286 | − | 0.415892i | −0.190058 | − | 0.0302517i | ||||
\(190\) | 4.46206 | − | 13.7328i | 0.323712 | − | 0.996283i | ||||
\(191\) | 1.65348 | − | 1.83637i | 0.119642 | − | 0.132875i | −0.680348 | − | 0.732889i | \(-0.738171\pi\) |
0.799990 | + | 0.600014i | \(0.204838\pi\) | |||||||
\(192\) | 0.994522 | − | 0.104528i | 0.0717734 | − | 0.00754369i | ||||
\(193\) | 21.5960 | − | 2.26983i | 1.55451 | − | 0.163386i | 0.712044 | − | 0.702134i | \(-0.247769\pi\) |
0.842467 | + | 0.538749i | \(0.181103\pi\) | |||||||
\(194\) | 5.36003 | − | 5.95292i | 0.384828 | − | 0.427395i | ||||
\(195\) | 3.04029 | − | 9.35705i | 0.217720 | − | 0.670072i | ||||
\(196\) | 1.46589 | − | 6.84479i | 0.104706 | − | 0.488914i | ||||
\(197\) | − | 6.69661i | − | 0.477114i | −0.971128 | − | 0.238557i | \(-0.923326\pi\) | ||
0.971128 | − | 0.238557i | \(-0.0766744\pi\) | |||||||
\(198\) | −0.933504 | + | 3.18254i | −0.0663412 | + | 0.226173i | ||||
\(199\) | 10.7110 | + | 6.18401i | 0.759284 | + | 0.438373i | 0.829038 | − | 0.559192i | \(-0.188888\pi\) |
−0.0697548 | + | 0.997564i | \(0.522222\pi\) | |||||||
\(200\) | −0.770061 | − | 1.72958i | −0.0544515 | − | 0.122300i | ||||
\(201\) | 2.20534 | + | 10.3753i | 0.155553 | + | 0.731819i | ||||
\(202\) | 17.8195 | − | 5.78990i | 1.25377 | − | 0.407376i | ||||
\(203\) | 4.65943 | − | 9.12732i | 0.327028 | − | 0.640613i | ||||
\(204\) | 0.927271 | + | 1.27628i | 0.0649220 | + | 0.0893574i | ||||
\(205\) | 8.63798 | + | 7.77767i | 0.603303 | + | 0.543216i | ||||
\(206\) | 1.09584 | + | 1.21705i | 0.0763508 | + | 0.0847961i | ||||
\(207\) | 2.91326 | − | 1.29707i | 0.202486 | − | 0.0901524i | ||||
\(208\) | −2.79094 | − | 4.83405i | −0.193517 | − | 0.335181i | ||||
\(209\) | 26.9285 | − | 3.61816i | 1.86268 | − | 0.250273i | ||||
\(210\) | −3.90909 | − | 2.54286i | −0.269753 | − | 0.175474i | ||||
\(211\) | −13.5513 | + | 18.6518i | −0.932911 | + | 1.28404i | 0.0258019 | + | 0.999667i | \(0.491786\pi\) |
−0.958713 | + | 0.284375i | \(0.908214\pi\) | |||||||
\(212\) | −7.40172 | + | 1.57329i | −0.508353 | + | 0.108054i | ||||
\(213\) | 0.0450579 | − | 0.211981i | 0.00308732 | − | 0.0145247i | ||||
\(214\) | −0.196453 | − | 1.86913i | −0.0134293 | − | 0.127771i | ||||
\(215\) | −0.382915 | − | 0.170485i | −0.0261146 | − | 0.0116270i | ||||
\(216\) | 0.309017 | + | 0.951057i | 0.0210259 | + | 0.0647112i | ||||
\(217\) | −13.5379 | − | 5.20862i | −0.919010 | − | 0.353584i | ||||
\(218\) | 3.27910 | + | 2.38240i | 0.222089 | + | 0.161357i | ||||
\(219\) | 8.67971 | − | 5.01123i | 0.586520 | − | 0.338628i | ||||
\(220\) | −3.78474 | + | 4.45532i | −0.255167 | + | 0.300377i | ||||
\(221\) | 4.40290 | − | 7.62604i | 0.296171 | − | 0.512983i | ||||
\(222\) | −0.107526 | + | 1.02304i | −0.00721666 | + | 0.0686619i | ||||
\(223\) | 19.4005 | + | 6.30361i | 1.29916 | + | 0.422121i | 0.875288 | − | 0.483603i | \(-0.160672\pi\) |
0.423868 | + | 0.905724i | \(0.360672\pi\) | |||||||
\(224\) | −2.55612 | + | 0.682809i | −0.170788 | + | 0.0456221i | ||||
\(225\) | 1.53168 | − | 1.11283i | 0.102112 | − | 0.0741889i | ||||
\(226\) | 7.27460 | − | 16.3390i | 0.483899 | − | 1.08686i | ||||
\(227\) | −8.82657 | − | 1.87615i | −0.585840 | − | 0.124524i | −0.0945500 | − | 0.995520i | \(-0.530141\pi\) |
−0.491290 | + | 0.870996i | \(0.663475\pi\) | |||||||
\(228\) | 6.08800 | − | 5.48166i | 0.403188 | − | 0.363032i | ||||
\(229\) | −6.86643 | − | 0.721691i | −0.453746 | − | 0.0476907i | −0.125101 | − | 0.992144i | \(-0.539925\pi\) |
−0.328645 | + | 0.944453i | \(0.606592\pi\) | |||||||
\(230\) | 5.62084 | 0.370627 | ||||||||
\(231\) | 1.12888 | − | 8.70205i | 0.0742748 | − | 0.572553i | ||||
\(232\) | −3.87332 | −0.254296 | ||||||||
\(233\) | 2.84315 | + | 0.298827i | 0.186261 | + | 0.0195768i | 0.197200 | − | 0.980363i | \(-0.436815\pi\) |
−0.0109386 | + | 0.999940i | \(0.503482\pi\) | |||||||
\(234\) | 4.14815 | − | 3.73501i | 0.271173 | − | 0.244165i | ||||
\(235\) | −2.38752 | − | 0.507482i | −0.155744 | − | 0.0331045i | ||||
\(236\) | 2.75080 | − | 6.17839i | 0.179062 | − | 0.402179i | ||||
\(237\) | 1.28125 | − | 0.930885i | 0.0832264 | − | 0.0604675i | ||||
\(238\) | −2.94909 | − | 2.95362i | −0.191161 | − | 0.191455i | ||||
\(239\) | 19.3686 | + | 6.29323i | 1.25285 | + | 0.407075i | 0.858941 | − | 0.512075i | \(-0.171123\pi\) |
0.393908 | + | 0.919150i | \(0.371123\pi\) | |||||||
\(240\) | −0.184241 | + | 1.75294i | −0.0118927 | + | 0.113152i | ||||
\(241\) | 6.18718 | − | 10.7165i | 0.398552 | − | 0.690311i | −0.594996 | − | 0.803729i | \(-0.702846\pi\) |
0.993547 | + | 0.113417i | \(0.0361797\pi\) | |||||||
\(242\) | −10.6402 | − | 2.79040i | −0.683977 | − | 0.179374i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 4.32184 | + | 3.14000i | 0.276678 | + | 0.201018i | ||||
\(245\) | 11.2637 | + | 5.03567i | 0.719614 | + | 0.321717i | ||||
\(246\) | 2.03783 | + | 6.27181i | 0.129928 | + | 0.399876i | ||||
\(247\) | −41.7746 | − | 18.5992i | −2.65805 | − | 1.18344i | ||||
\(248\) | 0.573076 | + | 5.45245i | 0.0363903 | + | 0.346231i | ||||
\(249\) | −2.21337 | + | 10.4131i | −0.140267 | + | 0.659903i | ||||
\(250\) | 11.8845 | − | 2.52613i | 0.751643 | − | 0.159767i | ||||
\(251\) | 2.10736 | − | 2.90053i | 0.133016 | − | 0.183080i | −0.737314 | − | 0.675551i | \(-0.763906\pi\) |
0.870329 | + | 0.492470i | \(0.163906\pi\) | |||||||
\(252\) | −1.19934 | − | 2.35830i | −0.0755511 | − | 0.148559i | ||||
\(253\) | 4.57873 | + | 9.53412i | 0.287863 | + | 0.599405i | ||||
\(254\) | 5.93243 | + | 10.2753i | 0.372234 | + | 0.644728i | ||||
\(255\) | −2.54021 | + | 1.13098i | −0.159074 | + | 0.0708245i | ||||
\(256\) | 0.669131 | + | 0.743145i | 0.0418207 | + | 0.0464466i | ||||
\(257\) | −17.8810 | − | 16.1002i | −1.11539 | − | 1.00430i | −0.999940 | − | 0.0109869i | \(-0.996503\pi\) |
−0.115449 | − | 0.993313i | \(-0.536831\pi\) | |||||||
\(258\) | −0.139778 | − | 0.192388i | −0.00870219 | − | 0.0119775i | ||||
\(259\) | −0.140352 | − | 2.71800i | −0.00872107 | − | 0.168888i | ||||
\(260\) | 9.35705 | − | 3.04029i | 0.580300 | − | 0.188551i | ||||
\(261\) | −0.805309 | − | 3.78868i | −0.0498474 | − | 0.234513i | ||||
\(262\) | 7.53451 | + | 16.9228i | 0.465483 | + | 1.04549i | ||||
\(263\) | 7.36346 | + | 4.25129i | 0.454050 | + | 0.262146i | 0.709539 | − | 0.704666i | \(-0.248903\pi\) |
−0.255489 | + | 0.966812i | \(0.582236\pi\) | |||||||
\(264\) | −3.12343 | + | 1.11543i | −0.192234 | + | 0.0686500i | ||||
\(265\) | − | 13.3377i | − | 0.819328i | ||||||
\(266\) | −13.6532 | + | 16.8338i | −0.837129 | + | 1.03215i | ||||
\(267\) | −2.44087 | + | 7.51222i | −0.149379 | + | 0.459741i | ||||
\(268\) | −7.09754 | + | 7.88262i | −0.433551 | + | 0.481508i | ||||
\(269\) | −0.999386 | + | 0.105040i | −0.0609337 | + | 0.00640439i | −0.134946 | − | 0.990853i | \(-0.543086\pi\) |
0.0740126 | + | 0.997257i | \(0.476420\pi\) | |||||||
\(270\) | −1.75294 | + | 0.184241i | −0.106680 | + | 0.0112126i | ||||
\(271\) | −10.2471 | + | 11.3806i | −0.622468 | + | 0.691321i | −0.969097 | − | 0.246682i | \(-0.920660\pi\) |
0.346629 | + | 0.938002i | \(0.387326\pi\) | |||||||
\(272\) | −0.487495 | + | 1.50036i | −0.0295587 | + | 0.0909724i | ||||
\(273\) | −9.30278 | + | 11.4700i | −0.563030 | + | 0.694194i | ||||
\(274\) | − | 9.06696i | − | 0.547755i | ||||||
\(275\) | 3.83581 | + | 4.97147i | 0.231308 | + | 0.299791i | ||||
\(276\) | 2.76172 | + | 1.59448i | 0.166236 | + | 0.0959764i | ||||
\(277\) | −3.28690 | − | 7.38251i | −0.197491 | − | 0.443572i | 0.787469 | − | 0.616354i | \(-0.211391\pi\) |
−0.984960 | + | 0.172782i | \(0.944724\pi\) | |||||||
\(278\) | −2.30959 | − | 10.8657i | −0.138520 | − | 0.651684i | ||||
\(279\) | −5.21415 | + | 1.69418i | −0.312163 | + | 0.101428i | ||||
\(280\) | −0.240488 | − | 4.65718i | −0.0143719 | − | 0.278320i | ||||
\(281\) | −11.1060 | − | 15.2861i | −0.662529 | − | 0.911892i | 0.337033 | − | 0.941493i | \(-0.390577\pi\) |
−0.999562 | + | 0.0296004i | \(0.990577\pi\) | |||||||
\(282\) | −1.02911 | − | 0.926619i | −0.0612829 | − | 0.0551793i | ||||
\(283\) | −16.8755 | − | 18.7421i | −1.00314 | − | 1.11410i | −0.993464 | − | 0.114149i | \(-0.963586\pi\) |
−0.00967847 | − | 0.999953i | \(-0.503081\pi\) | |||||||
\(284\) | 0.197981 | − | 0.0881466i | 0.0117480 | − | 0.00523054i | ||||
\(285\) | 7.21977 | + | 12.5050i | 0.427662 | + | 0.740733i | ||||
\(286\) | 12.7792 | + | 13.3949i | 0.755651 | + | 0.792056i | ||||
\(287\) | −7.90911 | − | 15.5520i | −0.466860 | − | 0.918005i | ||||
\(288\) | −0.587785 | + | 0.809017i | −0.0346356 | + | 0.0476718i | ||||
\(289\) | 14.1942 | − | 3.01706i | 0.834951 | − | 0.177474i | ||||
\(290\) | 1.41943 | − | 6.67790i | 0.0833519 | − | 0.392140i | ||||
\(291\) | 0.837319 | + | 7.96656i | 0.0490845 | + | 0.467008i | ||||
\(292\) | 9.15597 | + | 4.07650i | 0.535813 | + | 0.238559i | ||||
\(293\) | −6.28952 | − | 19.3572i | −0.367438 | − | 1.13086i | −0.948440 | − | 0.316955i | \(-0.897339\pi\) |
0.581003 | − | 0.813902i | \(-0.302661\pi\) | |||||||
\(294\) | 4.10580 | + | 5.66943i | 0.239455 | + | 0.330648i | ||||
\(295\) | 9.64395 | + | 7.00674i | 0.561492 | + | 0.407948i | ||||
\(296\) | −0.890858 | + | 0.514337i | −0.0517801 | + | 0.0298952i | ||||
\(297\) | −1.74045 | − | 2.82326i | −0.100991 | − | 0.163822i | ||||
\(298\) | −6.60037 | + | 11.4322i | −0.382349 | + | 0.662248i | ||||
\(299\) | 1.86065 | − | 17.7029i | 0.107604 | − | 1.02378i | ||||
\(300\) | 1.80060 | + | 0.585051i | 0.103958 | + | 0.0337780i | ||||
\(301\) | 0.444550 | + | 0.445233i | 0.0256234 | + | 0.0256628i | ||||
\(302\) | 16.5786 | − | 12.0451i | 0.953994 | − | 0.693117i | ||||
\(303\) | −7.62082 | + | 17.1166i | −0.437805 | + | 0.983326i | ||||
\(304\) | 8.01319 | + | 1.70326i | 0.459588 | + | 0.0976885i | ||||
\(305\) | −6.99740 | + | 6.30049i | −0.400670 | + | 0.360765i | ||||
\(306\) | −1.56893 | − | 0.164901i | −0.0896895 | − | 0.00942675i | ||||
\(307\) | −7.25267 | −0.413932 | −0.206966 | − | 0.978348i | \(-0.566359\pi\) | ||||
−0.206966 | + | 0.978348i | \(0.566359\pi\) | |||||||
\(308\) | 7.70364 | − | 4.20165i | 0.438956 | − | 0.239411i | ||||
\(309\) | −1.63771 | −0.0931659 | ||||||||
\(310\) | −9.61045 | − | 1.01010i | −0.545837 | − | 0.0573698i | ||||
\(311\) | −2.51958 | + | 2.26864i | −0.142872 | + | 0.128643i | −0.737468 | − | 0.675382i | \(-0.763979\pi\) |
0.594596 | + | 0.804025i | \(0.297312\pi\) | |||||||
\(312\) | 5.45990 | + | 1.16054i | 0.309106 | + | 0.0657025i | ||||
\(313\) | 7.26152 | − | 16.3096i | 0.410445 | − | 0.921875i | −0.583512 | − | 0.812105i | \(-0.698322\pi\) |
0.993957 | − | 0.109771i | \(-0.0350116\pi\) | |||||||
\(314\) | 9.42639 | − | 6.84868i | 0.531962 | − | 0.386493i | ||||
\(315\) | 4.50541 | − | 1.20351i | 0.253851 | − | 0.0678104i | ||||
\(316\) | 1.50620 | + | 0.489395i | 0.0847306 | + | 0.0275306i | ||||
\(317\) | −1.64926 | + | 15.6917i | −0.0926319 | + | 0.881334i | 0.845248 | + | 0.534374i | \(0.179453\pi\) |
−0.937880 | + | 0.346960i | \(0.887214\pi\) | |||||||
\(318\) | 3.78354 | − | 6.55329i | 0.212170 | − | 0.367490i | ||||
\(319\) | 12.4834 | − | 3.03216i | 0.698935 | − | 0.169769i | ||||
\(320\) | −1.52645 | + | 0.881296i | −0.0853312 | + | 0.0492660i | ||||
\(321\) | 1.52049 | + | 1.10470i | 0.0848652 | + | 0.0616582i | ||||
\(322\) | −7.87448 | − | 3.02967i | −0.438828 | − | 0.168837i | ||||
\(323\) | 3.99367 | + | 12.2912i | 0.222213 | + | 0.683903i | ||||
\(324\) | −0.913545 | − | 0.406737i | −0.0507525 | − | 0.0225965i | ||||
\(325\) | −1.10466 | − | 10.5101i | −0.0612752 | − | 0.582995i | ||||
\(326\) | 3.84011 | − | 18.0663i | 0.212684 | − | 1.00060i | ||||
\(327\) | −3.96462 | + | 0.842705i | −0.219244 | + | 0.0466017i | ||||
\(328\) | −3.87619 | + | 5.33512i | −0.214027 | + | 0.294583i | ||||
\(329\) | 3.07124 | + | 1.99784i | 0.169323 | + | 0.110144i | ||||
\(330\) | −0.778464 | − | 5.79380i | −0.0428530 | − | 0.318938i | ||||
\(331\) | 16.5386 | + | 28.6456i | 0.909042 | + | 1.57451i | 0.815398 | + | 0.578900i | \(0.196518\pi\) |
0.0936434 | + | 0.995606i | \(0.470149\pi\) | |||||||
\(332\) | −9.72535 | + | 4.33001i | −0.533748 | + | 0.237640i | ||||
\(333\) | −0.688318 | − | 0.764454i | −0.0377196 | − | 0.0418918i | ||||
\(334\) | 5.69287 | + | 5.12588i | 0.311500 | + | 0.280476i | ||||
\(335\) | −10.9892 | − | 15.1254i | −0.600407 | − | 0.826389i | ||||
\(336\) | 1.20295 | − | 2.35646i | 0.0656266 | − | 0.128555i | ||||
\(337\) | −6.97567 | + | 2.26653i | −0.379989 | + | 0.123466i | −0.492782 | − | 0.870153i | \(-0.664020\pi\) |
0.112794 | + | 0.993618i | \(0.464020\pi\) | |||||||
\(338\) | −3.77513 | − | 17.7606i | −0.205340 | − | 0.966050i | ||||
\(339\) | 7.27460 | + | 16.3390i | 0.395102 | + | 0.887414i | ||||
\(340\) | −2.40808 | − | 1.39030i | −0.130596 | − | 0.0753999i | ||||
\(341\) | −6.11533 | − | 17.1242i | −0.331164 | − | 0.927325i | ||||
\(342\) | 8.19221i | 0.442984i | ||||||||
\(343\) | −13.0656 | − | 13.1259i | −0.705477 | − | 0.708733i | ||||
\(344\) | 0.0734856 | − | 0.226165i | 0.00396208 | − | 0.0121940i | ||||
\(345\) | −3.76108 | + | 4.17710i | −0.202490 | + | 0.224887i | ||||
\(346\) | −25.8831 | + | 2.72043i | −1.39149 | + | 0.146251i | ||||
\(347\) | −6.73699 | + | 0.708086i | −0.361661 | + | 0.0380121i | −0.283616 | − | 0.958938i | \(-0.591534\pi\) |
−0.0780443 | + | 0.996950i | \(0.524868\pi\) | |||||||
\(348\) | 2.59176 | − | 2.87844i | 0.138933 | − | 0.154301i | ||||
\(349\) | −9.52359 | + | 29.3106i | −0.509786 | + | 1.56896i | 0.282787 | + | 0.959183i | \(0.408741\pi\) |
−0.792573 | + | 0.609777i | \(0.791259\pi\) | |||||||
\(350\) | −4.94684 | − | 0.787395i | −0.264420 | − | 0.0420880i | ||||
\(351\) | 5.58188i | 0.297939i | ||||||||
\(352\) | −2.73831 | − | 1.87127i | −0.145952 | − | 0.0997393i | ||||
\(353\) | 6.71975 | + | 3.87965i | 0.357656 | + | 0.206493i | 0.668052 | − | 0.744114i | \(-0.267128\pi\) |
−0.310396 | + | 0.950607i | \(0.600462\pi\) | |||||||
\(354\) | 2.75080 | + | 6.17839i | 0.146203 | + | 0.328378i | ||||
\(355\) | 0.0794188 | + | 0.373636i | 0.00421511 | + | 0.0198305i | ||||
\(356\) | −7.51222 | + | 2.44087i | −0.398147 | + | 0.129366i | ||||
\(357\) | 4.16830 | − | 0.215243i | 0.220610 | − | 0.0113919i | ||||
\(358\) | 6.92877 | + | 9.53663i | 0.366197 | + | 0.504027i | ||||
\(359\) | 26.8071 | + | 24.1372i | 1.41482 | + | 1.27391i | 0.912405 | + | 0.409288i | \(0.134223\pi\) |
0.502418 | + | 0.864625i | \(0.332444\pi\) | |||||||
\(360\) | −1.17940 | − | 1.30986i | −0.0621601 | − | 0.0690358i | ||||
\(361\) | 43.9528 | − | 19.5691i | 2.31331 | − | 1.02995i | ||||
\(362\) | 8.78880 | + | 15.2226i | 0.461929 | + | 0.800085i | ||||
\(363\) | 9.19335 | − | 6.04006i | 0.482526 | − | 0.317021i | ||||
\(364\) | −14.7474 | − | 0.784231i | −0.772975 | − | 0.0411049i | ||||
\(365\) | −10.3835 | + | 14.2917i | −0.543499 | + | 0.748062i | ||||
\(366\) | −5.22535 | + | 1.11068i | −0.273134 | + | 0.0580563i | ||||
\(367\) | 4.32830 | − | 20.3630i | 0.225935 | − | 1.06294i | −0.708197 | − | 0.706015i | \(-0.750491\pi\) |
0.934132 | − | 0.356927i | \(-0.116176\pi\) | |||||||
\(368\) | 0.333337 | + | 3.17149i | 0.0173764 | + | 0.165325i | ||||
\(369\) | −6.02444 | − | 2.68225i | −0.313620 | − | 0.139633i | ||||
\(370\) | −0.560289 | − | 1.72439i | −0.0291281 | − | 0.0896469i | ||||
\(371\) | −7.18909 | + | 18.6853i | −0.373239 | + | 0.970095i | ||||
\(372\) | −4.43542 | − | 3.22252i | −0.229966 | − | 0.167080i | ||||
\(373\) | −32.6736 | + | 18.8641i | −1.69177 | + | 0.976745i | −0.738685 | + | 0.674051i | \(0.764553\pi\) |
−0.953088 | + | 0.302694i | \(0.902114\pi\) | |||||||
\(374\) | 0.396627 | − | 5.21715i | 0.0205091 | − | 0.269772i | ||||
\(375\) | −6.07501 | + | 10.5222i | −0.313712 | + | 0.543366i | ||||
\(376\) | 0.144752 | − | 1.37722i | 0.00746502 | − | 0.0710249i | ||||
\(377\) | −20.5622 | − | 6.68108i | −1.05901 | − | 0.344093i | ||||
\(378\) | 2.55507 | + | 0.686732i | 0.131419 | + | 0.0353217i | ||||
\(379\) | −5.88551 | + | 4.27608i | −0.302319 | + | 0.219647i | −0.728593 | − | 0.684946i | \(-0.759826\pi\) |
0.426275 | + | 0.904594i | \(0.359826\pi\) | |||||||
\(380\) | −5.87309 | + | 13.1912i | −0.301283 | + | 0.676693i | ||||
\(381\) | −11.6056 | − | 2.46684i | −0.594572 | − | 0.126380i | ||||
\(382\) | −1.83637 | + | 1.65348i | −0.0939571 | + | 0.0845993i | ||||
\(383\) | −15.9000 | − | 1.67116i | −0.812452 | − | 0.0853921i | −0.310815 | − | 0.950470i | \(-0.600602\pi\) |
−0.501637 | + | 0.865078i | \(0.667269\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 4.42086 | + | 14.8214i | 0.225308 | + | 0.755369i | ||||
\(386\) | −21.7149 | −1.10526 | ||||||||
\(387\) | 0.236502 | + | 0.0248573i | 0.0120221 | + | 0.00126357i | ||||
\(388\) | −5.95292 | + | 5.36003i | −0.302214 | + | 0.272114i | ||||
\(389\) | 12.2529 | + | 2.60444i | 0.621249 | + | 0.132051i | 0.507774 | − | 0.861490i | \(-0.330469\pi\) |
0.113475 | + | 0.993541i | \(0.463802\pi\) | |||||||
\(390\) | −4.00171 | + | 8.98799i | −0.202635 | + | 0.455125i | ||||
\(391\) | −4.07000 | + | 2.95703i | −0.205829 | + | 0.149543i | ||||
\(392\) | −2.17334 | + | 6.65407i | −0.109770 | + | 0.336081i | ||||
\(393\) | −17.6176 | − | 5.72432i | −0.888693 | − | 0.288754i | ||||
\(394\) | −0.699987 | + | 6.65993i | −0.0352648 | + | 0.335522i | ||||
\(395\) | −1.39572 | + | 2.41746i | −0.0702265 | + | 0.121636i | ||||
\(396\) | 1.26106 | − | 3.06753i | 0.0633705 | − | 0.154149i | ||||
\(397\) | 3.04579 | − | 1.75849i | 0.152864 | − | 0.0882558i | −0.421617 | − | 0.906774i | \(-0.638537\pi\) |
0.574481 | + | 0.818518i | \(0.305204\pi\) | |||||||
\(398\) | −10.0059 | − | 7.26974i | −0.501552 | − | 0.364399i | ||||
\(399\) | −3.37422 | − | 21.4103i | −0.168922 | − | 1.07186i | ||||
\(400\) | 0.585051 | + | 1.80060i | 0.0292526 | + | 0.0900301i | ||||
\(401\) | 33.4422 | + | 14.8894i | 1.67002 | + | 0.743543i | 0.999999 | + | 0.00120359i | \(0.000383115\pi\) |
0.670025 | + | 0.742339i | \(0.266284\pi\) | |||||||
\(402\) | −1.10875 | − | 10.5490i | −0.0552992 | − | 0.526137i | ||||
\(403\) | −6.36263 | + | 29.9338i | −0.316945 | + | 1.49111i | ||||
\(404\) | −18.3271 | + | 3.89554i | −0.911806 | + | 0.193810i | ||||
\(405\) | 1.03603 | − | 1.42597i | 0.0514806 | − | 0.0708569i | ||||
\(406\) | −5.58797 | + | 8.59028i | −0.277326 | + | 0.426328i | ||||
\(407\) | 2.46852 | − | 2.35506i | 0.122360 | − | 0.116736i | ||||
\(408\) | −0.788784 | − | 1.36621i | −0.0390506 | − | 0.0676377i | ||||
\(409\) | 19.9169 | − | 8.86758i | 0.984827 | − | 0.438473i | 0.149821 | − | 0.988713i | \(-0.452130\pi\) |
0.835007 | + | 0.550240i | \(0.185464\pi\) | |||||||
\(410\) | −7.77767 | − | 8.63798i | −0.384112 | − | 0.426599i | ||||
\(411\) | 6.73806 | + | 6.06698i | 0.332364 | + | 0.299262i | ||||
\(412\) | −0.962620 | − | 1.32493i | −0.0474249 | − | 0.0652747i | ||||
\(413\) | −9.73395 | − | 15.0142i | −0.478977 | − | 0.738800i | ||||
\(414\) | −3.03288 | + | 0.985443i | −0.149058 | + | 0.0484319i | ||||
\(415\) | −3.90127 | − | 18.3540i | −0.191506 | − | 0.900964i | ||||
\(416\) | 2.27036 | + | 5.09930i | 0.111313 | + | 0.250014i | ||||
\(417\) | 9.62024 | + | 5.55425i | 0.471105 | + | 0.271993i | ||||
\(418\) | −27.1592 | + | 0.783541i | −1.32840 | + | 0.0383243i | ||||
\(419\) | 11.7175i | 0.572435i | 0.958165 | + | 0.286218i | \(0.0923980\pi\) | ||||
−0.958165 | + | 0.286218i | \(0.907602\pi\) | |||||||
\(420\) | 3.62188 | + | 2.93754i | 0.176729 | + | 0.143337i | ||||
\(421\) | 9.00812 | − | 27.7241i | 0.439029 | − | 1.35119i | −0.449872 | − | 0.893093i | \(-0.648530\pi\) |
0.888901 | − | 0.458099i | \(-0.151470\pi\) | |||||||
\(422\) | 15.4267 | − | 17.1331i | 0.750961 | − | 0.834027i | ||||
\(423\) | 1.37722 | − | 0.144752i | 0.0669629 | − | 0.00703808i | ||||
\(424\) | 7.52563 | − | 0.790976i | 0.365477 | − | 0.0384132i | ||||
\(425\) | −1.99853 | + | 2.21959i | −0.0969429 | + | 0.107666i | ||||
\(426\) | −0.0669692 | + | 0.206110i | −0.00324467 | + | 0.00998606i | ||||
\(427\) | 13.1990 | − | 5.05499i | 0.638743 | − | 0.244628i | ||||
\(428\) | 1.87942i | 0.0908454i | ||||||||
\(429\) | −18.5053 | + | 0.533877i | −0.893445 | + | 0.0257758i | ||||
\(430\) | 0.362997 | + | 0.209576i | 0.0175053 | + | 0.0101067i | ||||
\(431\) | −15.1704 | − | 34.0732i | −0.730730 | − | 1.64125i | −0.766790 | − | 0.641898i | \(-0.778147\pi\) |
0.0360598 | − | 0.999350i | \(-0.488519\pi\) | |||||||
\(432\) | −0.207912 | − | 0.978148i | −0.0100032 | − | 0.0470611i | ||||
\(433\) | −5.20881 | + | 1.69245i | −0.250320 | + | 0.0813337i | −0.431489 | − | 0.902118i | \(-0.642012\pi\) |
0.181170 | + | 0.983452i | \(0.442012\pi\) | |||||||
\(434\) | 12.9193 | + | 6.59518i | 0.620144 | + | 0.316579i | ||||
\(435\) | 4.01286 | + | 5.52323i | 0.192402 | + | 0.264819i | ||||
\(436\) | −3.01211 | − | 2.71211i | −0.144254 | − | 0.129887i | ||||
\(437\) | 17.4808 | + | 19.4144i | 0.836220 | + | 0.928717i | ||||
\(438\) | −9.15597 | + | 4.07650i | −0.437489 | + | 0.194783i | ||||
\(439\) | 7.38776 | + | 12.7960i | 0.352599 | + | 0.610719i | 0.986704 | − | 0.162528i | \(-0.0519648\pi\) |
−0.634105 | + | 0.773247i | \(0.718631\pi\) | |||||||
\(440\) | 4.22971 | − | 4.03530i | 0.201644 | − | 0.192375i | ||||
\(441\) | −6.96052 | − | 0.742385i | −0.331453 | − | 0.0353517i | ||||
\(442\) | −5.17592 | + | 7.12404i | −0.246193 | + | 0.338856i | ||||
\(443\) | 28.8102 | − | 6.12379i | 1.36881 | − | 0.290950i | 0.535866 | − | 0.844303i | \(-0.319985\pi\) |
0.832947 | + | 0.553353i | \(0.186652\pi\) | |||||||
\(444\) | 0.213873 | − | 1.00620i | 0.0101500 | − | 0.0477519i | ||||
\(445\) | −1.45529 | − | 13.8461i | −0.0689872 | − | 0.656370i | ||||
\(446\) | −18.6353 | − | 8.29699i | −0.882409 | − | 0.392874i | ||||
\(447\) | −4.07925 | − | 12.5547i | −0.192942 | − | 0.593815i | ||||
\(448\) | 2.61349 | − | 0.411881i | 0.123476 | − | 0.0194595i | ||||
\(449\) | 5.29202 | + | 3.84488i | 0.249746 | + | 0.181451i | 0.705614 | − | 0.708596i | \(-0.250671\pi\) |
−0.455868 | + | 0.890047i | \(0.650671\pi\) | |||||||
\(450\) | −1.63962 | + | 0.946633i | −0.0772923 | + | 0.0446247i | ||||
\(451\) | 8.31612 | − | 20.2290i | 0.391591 | − | 0.952548i | ||||
\(452\) | −8.94265 | + | 15.4891i | −0.420627 | + | 0.728547i | ||||
\(453\) | −2.14203 | + | 20.3801i | −0.100641 | + | 0.957539i | ||||
\(454\) | 8.58211 | + | 2.78850i | 0.402778 | + | 0.130871i | ||||
\(455\) | 6.75647 | − | 25.1383i | 0.316748 | − | 1.17850i | ||||
\(456\) | −6.62764 | + | 4.81526i | −0.310368 | + | 0.225495i | ||||
\(457\) | 3.16264 | − | 7.10340i | 0.147942 | − | 0.332283i | −0.824340 | − | 0.566095i | \(-0.808453\pi\) |
0.972282 | + | 0.233812i | \(0.0751201\pi\) | |||||||
\(458\) | 6.75338 | + | 1.43547i | 0.315565 | + | 0.0670753i | ||||
\(459\) | 1.17236 | − | 1.05560i | 0.0547211 | − | 0.0492711i | ||||
\(460\) | −5.59005 | − | 0.587538i | −0.260637 | − | 0.0273941i | ||||
\(461\) | −27.8271 | −1.29604 | −0.648019 | − | 0.761625i | \(-0.724402\pi\) | ||||
−0.648019 | + | 0.761625i | \(0.724402\pi\) | |||||||
\(462\) | −2.03231 | + | 8.53638i | −0.0945515 | + | 0.397148i | ||||
\(463\) | −37.6832 | −1.75129 | −0.875644 | − | 0.482958i | \(-0.839563\pi\) | ||||
−0.875644 | + | 0.482958i | \(0.839563\pi\) | |||||||
\(464\) | 3.85210 | + | 0.404872i | 0.178829 | + | 0.0187957i | ||||
\(465\) | 7.18130 | − | 6.46607i | 0.333025 | − | 0.299857i | ||||
\(466\) | −2.79634 | − | 0.594380i | −0.129538 | − | 0.0275341i | ||||
\(467\) | 3.09091 | − | 6.94231i | 0.143030 | − | 0.321252i | −0.827798 | − | 0.561026i | \(-0.810407\pi\) |
0.970829 | + | 0.239774i | \(0.0770735\pi\) | |||||||
\(468\) | −4.51584 | + | 3.28095i | −0.208745 | + | 0.151662i | ||||
\(469\) | 7.24263 | + | 27.1131i | 0.334434 | + | 1.25197i | ||||
\(470\) | 2.32139 | + | 0.754266i | 0.107078 | + | 0.0347917i | ||||
\(471\) | −1.21793 | + | 11.5878i | −0.0561193 | + | 0.533939i | ||||
\(472\) | −3.38155 | + | 5.85701i | −0.155648 | + | 0.269591i | ||||
\(473\) | −0.0597880 | + | 0.786439i | −0.00274906 | + | 0.0361605i | ||||
\(474\) | −1.37154 | + | 0.791858i | −0.0629969 | + | 0.0363713i | ||||
\(475\) | 12.5479 | + | 9.11657i | 0.575737 | + | 0.418297i | ||||
\(476\) | 2.62420 | + | 3.24571i | 0.120280 | + | 0.148767i | ||||
\(477\) | 2.33836 | + | 7.19672i | 0.107066 | + | 0.329515i | ||||
\(478\) | −18.6046 | − | 8.28332i | −0.850957 | − | 0.378870i | ||||
\(479\) | 3.76156 | + | 35.7889i | 0.171870 | + | 1.63524i | 0.652128 | + | 0.758109i | \(0.273876\pi\) |
−0.480258 | + | 0.877127i | \(0.659457\pi\) | |||||||
\(480\) | 0.366464 | − | 1.72408i | 0.0167267 | − | 0.0786929i | ||||
\(481\) | −5.61646 | + | 1.19382i | −0.256089 | + | 0.0544333i | ||||
\(482\) | −7.27347 | + | 10.0111i | −0.331297 | + | 0.455992i | ||||
\(483\) | 7.52054 | − | 3.82464i | 0.342196 | − | 0.174027i | ||||
\(484\) | 10.2902 | + | 3.88732i | 0.467738 | + | 0.176696i | ||||
\(485\) | −7.05957 | − | 12.2275i | −0.320559 | − | 0.555224i | ||||
\(486\) | 0.913545 | − | 0.406737i | 0.0414393 | − | 0.0184499i | ||||
\(487\) | 9.59059 | + | 10.6514i | 0.434591 | + | 0.482662i | 0.920164 | − | 0.391534i | \(-0.128055\pi\) |
−0.485572 | + | 0.874196i | \(0.661389\pi\) | |||||||
\(488\) | −3.96995 | − | 3.57456i | −0.179711 | − | 0.161813i | ||||
\(489\) | 10.8563 | + | 14.9425i | 0.490941 | + | 0.675722i | ||||
\(490\) | −10.6757 | − | 6.18547i | −0.482278 | − | 0.279431i | ||||
\(491\) | −26.4639 | + | 8.59865i | −1.19430 | + | 0.388052i | −0.837661 | − | 0.546190i | \(-0.816078\pi\) |
−0.356639 | + | 0.934242i | \(0.616078\pi\) | |||||||
\(492\) | −1.37109 | − | 6.45046i | −0.0618134 | − | 0.290809i | ||||
\(493\) | 2.48533 | + | 5.58215i | 0.111934 | + | 0.251408i | ||||
\(494\) | 39.6016 | + | 22.8640i | 1.78176 | + | 1.02870i | ||||
\(495\) | 4.82652 | + | 3.29829i | 0.216936 | + | 0.148247i | ||||
\(496\) | − | 5.48249i | − | 0.246171i | ||||||
\(497\) | 0.0901308 | − | 0.566250i | 0.00404292 | − | 0.0253998i | ||||
\(498\) | 3.28971 | − | 10.1247i | 0.147415 | − | 0.453698i | ||||
\(499\) | 13.8244 | − | 15.3536i | 0.618867 | − | 0.687321i | −0.349476 | − | 0.936945i | \(-0.613640\pi\) |
0.968343 | + | 0.249624i | \(0.0803070\pi\) | |||||||
\(500\) | −12.0835 | + | 1.27002i | −0.540389 | + | 0.0567972i | ||||
\(501\) | −7.61854 | + | 0.800741i | −0.340371 | + | 0.0357745i | ||||
\(502\) | −2.39901 | + | 2.66437i | −0.107073 | + | 0.118916i | ||||
\(503\) | 3.90081 | − | 12.0055i | 0.173929 | − | 0.535298i | −0.825654 | − | 0.564177i | \(-0.809194\pi\) |
0.999583 | + | 0.0288790i | \(0.00919375\pi\) | |||||||
\(504\) | 0.946256 | + | 2.47075i | 0.0421496 | + | 0.110056i | ||||
\(505\) | − | 33.0248i | − | 1.46959i | ||||||
\(506\) | −3.55706 | − | 9.96050i | −0.158131 | − | 0.442798i | ||||
\(507\) | 15.7248 | + | 9.07870i | 0.698361 | + | 0.403199i | ||||
\(508\) | −4.82587 | − | 10.8391i | −0.214113 | − | 0.480907i | ||||
\(509\) | 5.64033 | + | 26.5357i | 0.250003 | + | 1.17617i | 0.906620 | + | 0.421948i | \(0.138654\pi\) |
−0.656617 | + | 0.754225i | \(0.728013\pi\) | |||||||
\(510\) | 2.64452 | − | 0.859256i | 0.117101 | − | 0.0380485i | ||||
\(511\) | 22.2501 | − | 14.4251i | 0.984284 | − | 0.638128i | ||||
\(512\) | −0.587785 | − | 0.809017i | −0.0259767 | − | 0.0357538i | ||||
\(513\) | −6.08800 | − | 5.48166i | −0.268792 | − | 0.242021i | ||||
\(514\) | 16.1002 | + | 17.8810i | 0.710148 | + | 0.788699i | ||||
\(515\) | 2.63705 | − | 1.17409i | 0.116202 | − | 0.0517366i | ||||
\(516\) | 0.118902 | + | 0.205945i | 0.00523438 | + | 0.00906621i | ||||
\(517\) | 0.611613 | + | 4.55199i | 0.0268987 | + | 0.200196i | ||||
\(518\) | −0.144524 | + | 2.71778i | −0.00635004 | + | 0.119412i | ||||
\(519\) | 15.2975 | − | 21.0552i | 0.671487 | − | 0.924222i | ||||
\(520\) | −9.62359 | + | 2.04556i | −0.422022 | + | 0.0897036i | ||||
\(521\) | −8.00913 | + | 37.6800i | −0.350886 | + | 1.65079i | 0.349434 | + | 0.936961i | \(0.386374\pi\) |
−0.700320 | + | 0.713829i | \(0.746959\pi\) | |||||||
\(522\) | 0.404872 | + | 3.85210i | 0.0177208 | + | 0.168602i | ||||
\(523\) | 17.2846 | + | 7.69561i | 0.755804 | + | 0.336506i | 0.748207 | − | 0.663466i | \(-0.230915\pi\) |
0.00759710 | + | 0.999971i | \(0.497582\pi\) | |||||||
\(524\) | −5.72432 | − | 17.6176i | −0.250068 | − | 0.769631i | ||||
\(525\) | 3.89523 | − | 3.14935i | 0.170002 | − | 0.137449i | ||||
\(526\) | −6.87874 | − | 4.99770i | −0.299927 | − | 0.217910i | ||||
\(527\) | 7.49025 | − | 4.32450i | 0.326280 | − | 0.188378i | ||||
\(528\) | 3.22291 | − | 0.782833i | 0.140259 | − | 0.0340684i | ||||
\(529\) | 6.41526 | − | 11.1116i | 0.278925 | − | 0.483112i | ||||
\(530\) | −1.39417 | + | 13.2646i | −0.0605588 | + | 0.576178i | ||||
\(531\) | −6.43208 | − | 2.08991i | −0.279129 | − | 0.0906944i | ||||
\(532\) | 15.3380 | − | 15.3145i | 0.664986 | − | 0.663966i | ||||
\(533\) | −29.7800 | + | 21.6364i | −1.28992 | + | 0.937178i | ||||
\(534\) | 3.21274 | − | 7.21593i | 0.139029 | − | 0.312264i | ||||
\(535\) | −3.24027 | − | 0.688741i | −0.140089 | − | 0.0297769i | ||||
\(536\) | 7.88262 | − | 7.09754i | 0.340477 | − | 0.306567i | ||||
\(537\) | −11.7233 | − | 1.23217i | −0.505900 | − | 0.0531722i | ||||
\(538\) | 1.00489 | 0.0433239 | ||||||||
\(539\) | 1.79545 | − | 23.1468i | 0.0773356 | − | 0.997005i | ||||
\(540\) | 1.76259 | 0.0758499 | ||||||||
\(541\) | −1.15068 | − | 0.120941i | −0.0494715 | − | 0.00519967i | 0.0797604 | − | 0.996814i | \(-0.474584\pi\) |
−0.129232 | + | 0.991614i | \(0.541251\pi\) | |||||||
\(542\) | 11.3806 | − | 10.2471i | 0.488837 | − | 0.440151i | ||||
\(543\) | −17.1935 | − | 3.65459i | −0.737843 | − | 0.156833i | ||||
\(544\) | 0.641655 | − | 1.44118i | 0.0275107 | − | 0.0617901i | ||||
\(545\) | 5.77971 | − | 4.19921i | 0.247576 | − | 0.179874i | ||||
\(546\) | 10.4508 | − | 10.4347i | 0.447251 | − | 0.446565i | ||||
\(547\) | 13.7848 | + | 4.47895i | 0.589395 | + | 0.191506i | 0.588505 | − | 0.808493i | \(-0.299717\pi\) |
0.000890152 | 1.00000i | \(0.499717\pi\) | ||||||||
\(548\) | −0.947755 | + | 9.01729i | −0.0404861 | + | 0.385199i | ||||
\(549\) | 2.67105 | − | 4.62639i | 0.113997 | − | 0.197449i | ||||
\(550\) | −3.29514 | − | 5.34519i | −0.140505 | − | 0.227920i | ||||
\(551\) | 27.4799 | − | 15.8655i | 1.17068 | − | 0.675895i | ||||
\(552\) | −2.57992 | − | 1.87442i | −0.109809 | − | 0.0797808i | ||||
\(553\) | 3.25836 | − | 2.63443i | 0.138559 | − | 0.112027i | ||||
\(554\) | 2.49722 | + | 7.68564i | 0.106097 | + | 0.326532i | ||||
\(555\) | 1.65638 | + | 0.737468i | 0.0703094 | + | 0.0313038i | ||||
\(556\) | 1.16115 | + | 11.0476i | 0.0492439 | + | 0.468524i | ||||
\(557\) | 0.470672 | − | 2.21434i | 0.0199430 | − | 0.0938244i | −0.967050 | − | 0.254585i | \(-0.918061\pi\) |
0.986993 | + | 0.160760i | \(0.0513946\pi\) | |||||||
\(558\) | 5.36268 | − | 1.13987i | 0.227020 | − | 0.0482547i | ||||
\(559\) | 0.780224 | − | 1.07389i | 0.0329999 | − | 0.0454205i | ||||
\(560\) | −0.247637 | + | 4.65680i | −0.0104646 | + | 0.196786i | ||||
\(561\) | 3.61170 | + | 3.78570i | 0.152486 | + | 0.159833i | ||||
\(562\) | 9.44733 | + | 16.3633i | 0.398512 | + | 0.690242i | ||||
\(563\) | 2.31898 | − | 1.03248i | 0.0977335 | − | 0.0435138i | −0.357288 | − | 0.933994i | \(-0.616298\pi\) |
0.455021 | + | 0.890481i | \(0.349632\pi\) | |||||||
\(564\) | 0.926619 | + | 1.02911i | 0.0390177 | + | 0.0433335i | ||||
\(565\) | −23.4273 | − | 21.0940i | −0.985592 | − | 0.887431i | ||||
\(566\) | 14.8239 | + | 20.4034i | 0.623096 | + | 0.857619i | ||||
\(567\) | −2.22002 | + | 1.43928i | −0.0932320 | + | 0.0604439i | ||||
\(568\) | −0.206110 | + | 0.0669692i | −0.00864818 | + | 0.00280996i | ||||
\(569\) | −9.13198 | − | 42.9626i | −0.382833 | − | 1.80109i | −0.573248 | − | 0.819382i | \(-0.694317\pi\) |
0.190415 | − | 0.981704i | \(-0.439016\pi\) | |||||||
\(570\) | −5.87309 | − | 13.1912i | −0.245997 | − | 0.552518i | ||||
\(571\) | −33.0979 | − | 19.1091i | −1.38510 | − | 0.799689i | −0.392344 | − | 0.919819i | \(-0.628336\pi\) |
−0.992758 | + | 0.120130i | \(0.961669\pi\) | |||||||
\(572\) | −11.3091 | − | 14.6573i | −0.472856 | − | 0.612853i | ||||
\(573\) | − | 2.47108i | − | 0.103231i | ||||||
\(574\) | 6.24016 | + | 16.2935i | 0.260459 | + | 0.680079i | ||||
\(575\) | −1.86571 | + | 5.74205i | −0.0778053 | + | 0.239460i | ||||
\(576\) | 0.669131 | − | 0.743145i | 0.0278804 | − | 0.0309644i | ||||
\(577\) | 25.7656 | − | 2.70808i | 1.07264 | − | 0.112739i | 0.448292 | − | 0.893887i | \(-0.352033\pi\) |
0.624345 | + | 0.781149i | \(0.285366\pi\) | |||||||
\(578\) | −14.4318 | + | 1.51684i | −0.600283 | + | 0.0630923i | ||||
\(579\) | 14.5301 | − | 16.1373i | 0.603851 | − | 0.670644i | ||||
\(580\) | −2.10969 | + | 6.49295i | −0.0876000 | + | 0.269605i | ||||
\(581\) | −4.42747 | + | 27.8158i | −0.183683 | + | 1.15399i | ||||
\(582\) | − | 8.01044i | − | 0.332043i | ||||||
\(583\) | −23.6353 | + | 8.44056i | −0.978872 | + | 0.349572i | ||||
\(584\) | −8.67971 | − | 5.01123i | −0.359169 | − | 0.207366i | ||||
\(585\) | −4.00171 | − | 8.98799i | −0.165450 | − | 0.371608i | ||||
\(586\) | 4.23169 | + | 19.9085i | 0.174810 | + | 0.822414i | ||||
\(587\) | −3.04993 | + | 0.990983i | −0.125884 | + | 0.0409023i | −0.371282 | − | 0.928520i | \(-0.621082\pi\) |
0.245397 | + | 0.969423i | \(0.421082\pi\) | |||||||
\(588\) | −3.49069 | − | 6.06754i | −0.143954 | − | 0.250221i | ||||
\(589\) | −26.3996 | − | 36.3359i | −1.08778 | − | 1.49720i | ||||
\(590\) | −8.85871 | − | 7.97642i | −0.364707 | − | 0.328384i | ||||
\(591\) | −4.48091 | − | 4.97655i | −0.184320 | − | 0.204708i | ||||
\(592\) | 0.939741 | − | 0.418400i | 0.0386231 | − | 0.0171961i | ||||
\(593\) | 1.44076 | + | 2.49547i | 0.0591650 | + | 0.102477i | 0.894091 | − | 0.447886i | \(-0.147823\pi\) |
−0.834926 | + | 0.550362i | \(0.814490\pi\) | |||||||
\(594\) | 1.43581 | + | 2.98973i | 0.0589119 | + | 0.122670i | ||||
\(595\) | −6.55752 | + | 3.33489i | −0.268832 | + | 0.136717i | ||||
\(596\) | 7.75920 | − | 10.6796i | 0.317829 | − | 0.437455i | ||||
\(597\) | 12.0977 | − | 2.57145i | 0.495128 | − | 0.105243i | ||||
\(598\) | −3.70091 | + | 17.4114i | −0.151342 | + | 0.712006i | ||||
\(599\) | 2.15752 | + | 20.5274i | 0.0881538 | + | 0.838727i | 0.945857 | + | 0.324583i | \(0.105224\pi\) |
−0.857704 | + | 0.514145i | \(0.828110\pi\) | |||||||
\(600\) | −1.72958 | − | 0.770061i | −0.0706100 | − | 0.0314376i | ||||
\(601\) | 0.643933 | + | 1.98182i | 0.0262666 | + | 0.0808402i | 0.963330 | − | 0.268318i | \(-0.0864677\pi\) |
−0.937064 | + | 0.349158i | \(0.886468\pi\) | |||||||
\(602\) | −0.395575 | − | 0.489262i | −0.0161224 | − | 0.0199408i | ||||
\(603\) | 8.58133 | + | 6.23470i | 0.349459 | + | 0.253897i | ||||
\(604\) | −17.7469 | + | 10.2462i | −0.722110 | + | 0.416911i | ||||
\(605\) | −10.4730 | + | 16.3166i | −0.425789 | + | 0.663363i | ||||
\(606\) | 9.36825 | − | 16.2263i | 0.380559 | − | 0.659148i | ||||
\(607\) | −3.37834 | + | 32.1427i | −0.137122 | + | 1.30463i | 0.682143 | + | 0.731219i | \(0.261048\pi\) |
−0.819266 | + | 0.573414i | \(0.805619\pi\) | |||||||
\(608\) | −7.79126 | − | 2.53153i | −0.315977 | − | 0.102667i | ||||
\(609\) | −2.64474 | − | 9.90069i | −0.107170 | − | 0.401196i | ||||
\(610\) | 7.61765 | − | 5.53455i | 0.308430 | − | 0.224087i | ||||
\(611\) | 3.14401 | − | 7.06156i | 0.127193 | − | 0.285680i | ||||
\(612\) | 1.54309 | + | 0.327995i | 0.0623759 | + | 0.0132584i | ||||
\(613\) | 15.0653 | − | 13.5649i | 0.608483 | − | 0.547880i | −0.306244 | − | 0.951953i | \(-0.599072\pi\) |
0.914727 | + | 0.404073i | \(0.132406\pi\) | |||||||
\(614\) | 7.21294 | + | 0.758110i | 0.291090 | + | 0.0305948i | ||||
\(615\) | 11.6235 | 0.468707 | ||||||||
\(616\) | −8.10063 | + | 3.37339i | −0.326384 | + | 0.135918i | ||||
\(617\) | 3.63885 | 0.146495 | 0.0732473 | − | 0.997314i | \(-0.476664\pi\) | ||||
0.0732473 | + | 0.997314i | \(0.476664\pi\) | |||||||
\(618\) | 1.62873 | + | 0.171187i | 0.0655173 | + | 0.00688615i | ||||
\(619\) | 1.28363 | − | 1.15578i | 0.0515934 | − | 0.0464549i | −0.642931 | − | 0.765924i | \(-0.722282\pi\) |
0.694524 | + | 0.719469i | \(0.255615\pi\) | |||||||
\(620\) | 9.45222 | + | 2.00913i | 0.379610 | + | 0.0806887i | ||||
\(621\) | 1.29707 | − | 2.91326i | 0.0520495 | − | 0.116905i | ||||
\(622\) | 2.74292 | − | 1.99285i | 0.109981 | − | 0.0799059i | ||||
\(623\) | −5.42437 | + | 20.1821i | −0.217323 | + | 0.808577i | ||||
\(624\) | −5.30868 | − | 1.72490i | −0.212517 | − | 0.0690511i | ||||
\(625\) | 1.24903 | − | 11.8838i | 0.0499613 | − | 0.475350i | ||||
\(626\) | −8.92656 | + | 15.4613i | −0.356777 | + | 0.617956i | ||||
\(627\) | 17.5908 | − | 20.7075i | 0.702508 | − | 0.826978i | ||||
\(628\) | −10.0906 | + | 5.82583i | −0.402660 | + | 0.232476i | ||||
\(629\) | 1.31288 | + | 0.953860i | 0.0523478 | + | 0.0380329i | ||||
\(630\) | −4.60653 | + | 0.725978i | −0.183528 | + | 0.0289237i | ||||
\(631\) | 4.56321 | + | 14.0441i | 0.181659 | + | 0.559088i | 0.999875 | − | 0.0158230i | \(-0.00503683\pi\) |
−0.818216 | + | 0.574911i | \(0.805037\pi\) | |||||||
\(632\) | −1.44680 | − | 0.644156i | −0.0575505 | − | 0.0256231i | ||||
\(633\) | 2.40989 | + | 22.9286i | 0.0957846 | + | 0.911329i | ||||
\(634\) | 3.28046 | − | 15.4333i | 0.130284 | − | 0.612937i | ||||
\(635\) | 20.4559 | − | 4.34804i | 0.811768 | − | 0.172547i | ||||
\(636\) | −4.44782 | + | 6.12190i | −0.176368 | + | 0.242749i | ||||
\(637\) | −23.0151 | + | 31.5756i | −0.911893 | + | 1.25107i | ||||
\(638\) | −12.7319 | + | 1.71068i | −0.504062 | + | 0.0677266i | ||||
\(639\) | −0.108358 | − | 0.187682i | −0.00428659 | − | 0.00742459i | ||||
\(640\) | 1.61021 | − | 0.716911i | 0.0636491 | − | 0.0283384i | ||||
\(641\) | −16.9045 | − | 18.7744i | −0.667689 | − | 0.741544i | 0.310199 | − | 0.950672i | \(-0.399604\pi\) |
−0.977888 | + | 0.209128i | \(0.932938\pi\) | |||||||
\(642\) | −1.39668 | − | 1.25758i | −0.0551227 | − | 0.0496327i | ||||
\(643\) | −9.93411 | − | 13.6731i | −0.391763 | − | 0.539216i | 0.566890 | − | 0.823794i | \(-0.308147\pi\) |
−0.958653 | + | 0.284578i | \(0.908147\pi\) | |||||||
\(644\) | 7.51466 | + | 3.83618i | 0.296119 | + | 0.151167i | ||||
\(645\) | −0.398638 | + | 0.129525i | −0.0156963 | + | 0.00510005i | ||||
\(646\) | −2.68700 | − | 12.6414i | −0.105719 | − | 0.497368i | ||||
\(647\) | −1.72634 | − | 3.87743i | −0.0678696 | − | 0.152438i | 0.876426 | − | 0.481537i | \(-0.159921\pi\) |
−0.944295 | + | 0.329100i | \(0.893255\pi\) | |||||||
\(648\) | 0.866025 | + | 0.500000i | 0.0340207 | + | 0.0196419i | ||||
\(649\) | 6.31337 | − | 21.5238i | 0.247821 | − | 0.844884i | ||||
\(650\) | 10.5680i | 0.414510i | ||||||||
\(651\) | −13.5458 | + | 5.18784i | −0.530903 | + | 0.203327i | ||||
\(652\) | −5.70752 | + | 17.5659i | −0.223524 | + | 0.687935i | ||||
\(653\) | 2.89569 | − | 3.21599i | 0.113317 | − | 0.125852i | −0.683817 | − | 0.729653i | \(-0.739681\pi\) |
0.797135 | + | 0.603802i | \(0.206348\pi\) | |||||||
\(654\) | 4.03098 | − | 0.423673i | 0.157624 | − | 0.0165669i | ||||
\(655\) | 32.4719 | − | 3.41294i | 1.26878 | − | 0.133354i | ||||
\(656\) | 4.41263 | − | 4.90072i | 0.172284 | − | 0.191341i | ||||
\(657\) | 3.09711 | − | 9.53193i | 0.120830 | − | 0.371876i | ||||
\(658\) | −2.84558 | − | 2.30793i | −0.110932 | − | 0.0899724i | ||||
\(659\) | 4.71642i | 0.183726i | 0.995772 | + | 0.0918629i | \(0.0292821\pi\) | ||||
−0.995772 | + | 0.0918629i | \(0.970718\pi\) | |||||||
\(660\) | 0.168583 | + | 5.84343i | 0.00656207 | + | 0.227455i | ||||
\(661\) | −1.32891 | − | 0.767247i | −0.0516887 | − | 0.0298425i | 0.473933 | − | 0.880561i | \(-0.342834\pi\) |
−0.525622 | + | 0.850718i | \(0.676167\pi\) | |||||||
\(662\) | −13.4537 | − | 30.2175i | −0.522892 | − | 1.17443i | ||||
\(663\) | −1.83083 | − | 8.61337i | −0.0711035 | − | 0.334515i | ||||
\(664\) | 10.1247 | − | 3.28971i | 0.392914 | − | 0.127665i | ||||
\(665\) | 20.7825 | + | 32.0561i | 0.805910 | + | 1.24308i | ||||
\(666\) | 0.604640 | + | 0.832215i | 0.0234293 | + | 0.0322477i | ||||
\(667\) | 9.17923 | + | 8.26501i | 0.355421 | + | 0.320023i | ||||
\(668\) | −5.12588 | − | 5.69287i | −0.198326 | − | 0.220264i | ||||
\(669\) | 18.6353 | − | 8.29699i | 0.720484 | − | 0.320780i | ||||
\(670\) | 9.34801 | + | 16.1912i | 0.361145 | + | 0.625522i | ||||
\(671\) | 15.5931 | + | 8.41268i | 0.601964 | + | 0.324768i | ||||
\(672\) | −1.44268 | + | 2.21781i | −0.0556527 | + | 0.0855538i | ||||
\(673\) | 14.4958 | − | 19.9518i | 0.558772 | − | 0.769084i | −0.432398 | − | 0.901683i | \(-0.642332\pi\) |
0.991170 | + | 0.132599i | \(0.0423323\pi\) | |||||||
\(674\) | 7.17437 | − | 1.52496i | 0.276346 | − | 0.0587392i | ||||
\(675\) | 0.393632 | − | 1.85189i | 0.0151509 | − | 0.0712794i | ||||
\(676\) | 1.89796 | + | 18.0579i | 0.0729986 | + | 0.694536i | ||||
\(677\) | −4.68527 | − | 2.08602i | −0.180069 | − | 0.0801721i | 0.314722 | − | 0.949184i | \(-0.398089\pi\) |
−0.494791 | + | 0.869012i | \(0.664755\pi\) | |||||||
\(678\) | −5.52686 | − | 17.0099i | −0.212258 | − | 0.653262i | ||||
\(679\) | 3.29935 | + | 20.9352i | 0.126617 | + | 0.803421i | ||||
\(680\) | 2.24956 | + | 1.63440i | 0.0862667 | + | 0.0626764i | ||||
\(681\) | −7.81481 | + | 4.51188i | −0.299464 | + | 0.172896i | ||||
\(682\) | 4.29187 | + | 17.6696i | 0.164344 | + | 0.676603i | ||||
\(683\) | 12.5347 | − | 21.7107i | 0.479627 | − | 0.830739i | −0.520100 | − | 0.854105i | \(-0.674105\pi\) |
0.999727 | + | 0.0233669i | \(0.00743860\pi\) | |||||||
\(684\) | 0.856320 | − | 8.14734i | 0.0327422 | − | 0.311521i | ||||
\(685\) | −15.1992 | − | 4.93851i | −0.580730 | − | 0.188691i | ||||
\(686\) | 11.6220 | + | 14.4197i | 0.443730 | + | 0.550548i | ||||
\(687\) | −5.58566 | + | 4.05822i | −0.213106 | + | 0.154831i | ||||
\(688\) | −0.0967238 | + | 0.217245i | −0.00368756 | + | 0.00828239i | ||||
\(689\) | 41.3155 | + | 8.78189i | 1.57400 | + | 0.334563i | ||||
\(690\) | 4.17710 | − | 3.76108i | 0.159019 | − | 0.143182i | ||||
\(691\) | −16.3307 | − | 1.71643i | −0.621249 | − | 0.0652959i | −0.211326 | − | 0.977416i | \(-0.567778\pi\) |
−0.409924 | + | 0.912120i | \(0.634445\pi\) | |||||||
\(692\) | 26.0257 | 0.989348 | ||||||||
\(693\) | −4.98389 | − | 7.22225i | −0.189322 | − | 0.274351i | ||||
\(694\) | 6.77410 | 0.257141 | ||||||||
\(695\) | −19.4725 | − | 2.04664i | −0.738634 | − | 0.0776335i | ||||
\(696\) | −2.87844 | + | 2.59176i | −0.109107 | + | 0.0982403i | ||||
\(697\) | 10.1760 | + | 2.16298i | 0.385445 | + | 0.0819289i | ||||
\(698\) | 12.5352 | − | 28.1545i | 0.474465 | − | 1.06566i | ||||
\(699\) | 2.31283 | − | 1.68037i | 0.0874792 | − | 0.0635573i | ||||
\(700\) | 4.83743 | + | 1.30017i | 0.182838 | + | 0.0491417i | ||||
\(701\) | −31.5677 | − | 10.2570i | −1.19229 | − | 0.387400i | −0.355374 | − | 0.934724i | \(-0.615646\pi\) |
−0.836921 | + | 0.547324i | \(0.815646\pi\) | |||||||
\(702\) | 0.583465 | − | 5.55130i | 0.0220215 | − | 0.209520i | ||||
\(703\) | 4.21356 | − | 7.29810i | 0.158917 | − | 0.275253i | ||||
\(704\) | 2.52771 | + | 2.14725i | 0.0952665 | + | 0.0809277i | ||||
\(705\) | −2.11384 | + | 1.22043i | −0.0796119 | + | 0.0459640i | ||||
\(706\) | −6.27741 | − | 4.56080i | −0.236253 | − | 0.171648i | ||||
\(707\) | −17.8006 | + | 46.2659i | −0.669460 | + | 1.74001i | ||||
\(708\) | −2.08991 | − | 6.43208i | −0.0785436 | − | 0.241732i | ||||
\(709\) | −3.67697 | − | 1.63709i | −0.138092 | − | 0.0614823i | 0.336527 | − | 0.941674i | \(-0.390748\pi\) |
−0.474619 | + | 0.880191i | \(0.657414\pi\) | |||||||
\(710\) | −0.0399281 | − | 0.379891i | −0.00149848 | − | 0.0142570i | ||||
\(711\) | 0.329273 | − | 1.54911i | 0.0123487 | − | 0.0580961i | ||||
\(712\) | 7.72621 | − | 1.64226i | 0.289552 | − | 0.0615462i | ||||
\(713\) | 10.2765 | − | 14.1444i | 0.384858 | − | 0.529712i | ||||
\(714\) | −4.16796 | − | 0.221642i | −0.155982 | − | 0.00829473i | ||||
\(715\) | 29.4147 | − | 14.1263i | 1.10005 | − | 0.528294i | ||||
\(716\) | −5.89396 | − | 10.2086i | −0.220268 | − | 0.381515i | ||||
\(717\) | 18.6046 | − | 8.28332i | 0.694803 | − | 0.309346i | ||||
\(718\) | −24.1372 | − | 26.8071i | −0.900792 | − | 1.00043i | ||||
\(719\) | −14.1436 | − | 12.7350i | −0.527468 | − | 0.474934i | 0.361842 | − | 0.932239i | \(-0.382148\pi\) |
−0.889310 | + | 0.457305i | \(0.848815\pi\) | |||||||
\(720\) | 1.03603 | + | 1.42597i | 0.0386104 | + | 0.0531427i | ||||
\(721\) | −4.32720 | + | 0.223449i | −0.161153 | + | 0.00832166i | ||||
\(722\) | −45.7576 | + | 14.8675i | −1.70292 | + | 0.553313i | ||||
\(723\) | −2.57278 | − | 12.1040i | −0.0956826 | − | 0.450151i | ||||
\(724\) | −7.14945 | − | 16.0579i | −0.265707 | − | 0.596788i | ||||
\(725\) | 6.35076 | + | 3.66661i | 0.235861 | + | 0.136175i | ||||
\(726\) | −9.77435 | + | 5.04601i | −0.362760 | + | 0.187275i | ||||
\(727\) | − | 35.0199i | − | 1.29882i | −0.760440 | − | 0.649409i | \(-0.775017\pi\) | ||
0.760440 | − | 0.649409i | \(-0.224983\pi\) | |||||||
\(728\) | 14.5847 | + | 2.32146i | 0.540544 | + | 0.0860391i | ||||
\(729\) | −0.309017 | + | 0.951057i | −0.0114451 | + | 0.0352243i | ||||
\(730\) | 11.8205 | − | 13.1280i | 0.437498 | − | 0.485891i | ||||
\(731\) | −0.373097 | + | 0.0392141i | −0.0137995 | + | 0.00145039i | ||||
\(732\) | 5.31283 | − | 0.558401i | 0.196368 | − | 0.0206391i | ||||
\(733\) | −14.1345 | + | 15.6979i | −0.522069 | + | 0.579816i | −0.945299 | − | 0.326206i | \(-0.894230\pi\) |
0.423230 | + | 0.906022i | \(0.360896\pi\) | |||||||
\(734\) | −6.43311 | + | 19.7991i | −0.237450 | + | 0.730797i | ||||
\(735\) | 11.7401 | − | 3.79468i | 0.433041 | − | 0.139969i | ||||
\(736\) | − | 3.18896i | − | 0.117547i | ||||||
\(737\) | −19.8488 | + | 29.0455i | −0.731141 | + | 1.06991i | ||||
\(738\) | 5.71107 | + | 3.29729i | 0.210227 | + | 0.121375i | ||||
\(739\) | 15.2637 | + | 34.2828i | 0.561484 | + | 1.26111i | 0.941774 | + | 0.336246i | \(0.109157\pi\) |
−0.380291 | + | 0.924867i | \(0.624176\pi\) | |||||||
\(740\) | 0.376972 | + | 1.77351i | 0.0138578 | + | 0.0651956i | ||||
\(741\) | −43.4899 | + | 14.1307i | −1.59764 | + | 0.519105i | ||||
\(742\) | 9.10286 | − | 17.8315i | 0.334177 | − | 0.654616i | ||||
\(743\) | 7.02101 | + | 9.66358i | 0.257576 | + | 0.354523i | 0.918146 | − | 0.396241i | \(-0.129686\pi\) |
−0.660571 | + | 0.750764i | \(0.729686\pi\) | |||||||
\(744\) | 4.07428 | + | 3.66850i | 0.149370 | + | 0.134494i | ||||
\(745\) | 15.5690 | + | 17.2912i | 0.570405 | + | 0.633499i | ||||
\(746\) | 34.4664 | − | 15.3454i | 1.26190 | − | 0.561836i | ||||
\(747\) | 5.32286 | + | 9.21947i | 0.194753 | + | 0.337323i | ||||
\(748\) | −0.939794 | + | 5.14711i | −0.0343623 | + | 0.188197i | ||||
\(749\) | 4.16820 | + | 2.71141i | 0.152303 | + | 0.0990728i | ||||
\(750\) | 7.14160 | − | 9.82957i | 0.260775 | − | 0.358925i | ||||
\(751\) | 12.0666 | − | 2.56483i | 0.440315 | − | 0.0935919i | 0.0175806 | − | 0.999845i | \(-0.494404\pi\) |
0.422734 | + | 0.906254i | \(0.361070\pi\) | |||||||
\(752\) | −0.287918 | + | 1.35455i | −0.0104993 | + | 0.0493953i | ||||
\(753\) | −0.374762 | − | 3.56562i | −0.0136571 | − | 0.129938i | ||||
\(754\) | 19.7512 | + | 8.79382i | 0.719298 | + | 0.320252i | ||||
\(755\) | −11.1616 | − | 34.3518i | −0.406212 | − | 1.25019i | ||||
\(756\) | −2.46929 | − | 0.950048i | −0.0898073 | − | 0.0345529i | ||||
\(757\) | 1.37458 | + | 0.998690i | 0.0499599 | + | 0.0362980i | 0.612485 | − | 0.790482i | \(-0.290170\pi\) |
−0.562525 | + | 0.826780i | \(0.690170\pi\) | |||||||
\(758\) | 6.30024 | − | 3.63745i | 0.228835 | − | 0.132118i | ||||
\(759\) | 9.78223 | + | 4.02146i | 0.355072 | + | 0.145970i | ||||
\(760\) | 7.21977 | − | 12.5050i | 0.261889 | − | 0.453604i | ||||
\(761\) | −5.07578 | + | 48.2928i | −0.183997 | + | 1.75061i | 0.380138 | + | 0.924930i | \(0.375877\pi\) |
−0.564134 | + | 0.825683i | \(0.690790\pi\) | |||||||
\(762\) | 11.2841 | + | 3.66644i | 0.408782 | + | 0.132821i | ||||
\(763\) | −10.3605 | + | 2.76755i | −0.375074 | + | 0.100192i | ||||
\(764\) | 1.99915 | − | 1.45247i | 0.0723267 | − | 0.0525484i | ||||
\(765\) | −1.13098 | + | 2.54021i | −0.0408905 | + | 0.0918416i | ||||
\(766\) | 15.6382 | + | 3.32400i | 0.565031 | + | 0.120101i | ||||
\(767\) | −28.0543 | + | 25.2602i | −1.01298 | + | 0.912093i | ||||
\(768\) | 0.994522 | + | 0.104528i | 0.0358867 | + | 0.00377185i | ||||
\(769\) | −26.3181 | −0.949053 | −0.474527 | − | 0.880241i | \(-0.657381\pi\) | ||||
−0.474527 | + | 0.880241i | \(0.657381\pi\) | |||||||
\(770\) | −2.84739 | − | 15.2023i | −0.102613 | − | 0.547854i | ||||
\(771\) | −24.0613 | −0.866547 | ||||||||
\(772\) | 21.5960 | + | 2.26983i | 0.777256 | + | 0.0816928i | ||||
\(773\) | −17.5062 | + | 15.7626i | −0.629653 | + | 0.566942i | −0.920945 | − | 0.389692i | \(-0.872581\pi\) |
0.291292 | + | 0.956634i | \(0.405915\pi\) | |||||||
\(774\) | −0.232608 | − | 0.0494423i | −0.00836092 | − | 0.00177717i | ||||
\(775\) | 4.22185 | − | 9.48242i | 0.151653 | − | 0.340619i | ||||
\(776\) | 6.48058 | − | 4.70842i | 0.232639 | − | 0.169022i | ||||
\(777\) | −1.92300 | − | 1.92595i | −0.0689871 | − | 0.0690931i | ||||
\(778\) | −11.9136 | − | 3.87096i | −0.427123 | − | 0.138781i | ||||
\(779\) | 5.64706 | − | 53.7282i | 0.202327 | − | 1.92501i | ||||
\(780\) | 4.91929 | − | 8.52046i | 0.176139 | − | 0.305082i | ||||
\(781\) | 0.611849 | − | 0.377185i | 0.0218937 | − | 0.0134968i | ||||
\(782\) | 4.35680 | − | 2.51540i | 0.155799 | − | 0.0899505i | ||||
\(783\) | −3.13358 | − | 2.27668i | −0.111985 | − | 0.0813620i | ||||
\(784\) | 2.85697 | − | 6.39044i | 0.102035 | − | 0.228230i | ||||
\(785\) | −6.34632 | − | 19.5320i | −0.226510 | − | 0.697126i | ||||
\(786\) | 16.9228 | + | 7.53451i | 0.603616 | + | 0.268747i | ||||
\(787\) | −1.44053 | − | 13.7058i | −0.0513495 | − | 0.488558i | −0.989730 | − | 0.142953i | \(-0.954340\pi\) |
0.938380 | − | 0.345605i | \(-0.112326\pi\) | |||||||
\(788\) | 1.39230 | − | 6.55028i | 0.0495988 | − | 0.233344i | ||||
\(789\) | 8.31679 | − | 1.76779i | 0.296085 | − | 0.0629349i | ||||
\(790\) | 1.64077 | − | 2.25833i | 0.0583760 | − | 0.0803477i | ||||
\(791\) | 21.4505 | + | 42.1789i | 0.762691 | + | 1.49971i | ||||
\(792\) | −1.57479 | + | 2.91891i | −0.0559578 | + | 0.103719i | ||||
\(793\) | −14.9095 | − | 25.8239i | −0.529450 | − | 0.917035i | ||||
\(794\) | −3.21291 | + | 1.43048i | −0.114022 | + | 0.0507659i | ||||
\(795\) | −8.92466 | − | 9.91183i | −0.316525 | − | 0.351537i | ||||
\(796\) | 9.19123 | + | 8.27582i | 0.325774 | + | 0.293329i | ||||
\(797\) | 17.7045 | + | 24.3681i | 0.627125 | + | 0.863163i | 0.997847 | − | 0.0655804i | \(-0.0208899\pi\) |
−0.370722 | + | 0.928744i | \(0.620890\pi\) | |||||||
\(798\) | 1.11775 | + | 21.6457i | 0.0395678 | + | 0.766250i | ||||
\(799\) | −2.07771 | + | 0.675088i | −0.0735040 | + | 0.0238829i | ||||
\(800\) | −0.393632 | − | 1.85189i | −0.0139170 | − | 0.0654743i | ||||
\(801\) | 3.21274 | + | 7.21593i | 0.113517 | + | 0.254962i | ||||
\(802\) | −31.7026 | − | 18.3035i | −1.11946 | − | 0.646320i | ||||
\(803\) | 31.8969 | + | 9.35600i | 1.12562 | + | 0.330166i | ||||
\(804\) | 10.6071i | 0.374084i | ||||||||
\(805\) | −9.36771 | + | 11.5500i | −0.330168 | + | 0.407085i | ||||
\(806\) | 9.45672 | − | 29.1048i | 0.333099 | − | 1.02517i | ||||
\(807\) | −0.672404 | + | 0.746780i | −0.0236697 | + | 0.0262879i | ||||
\(808\) | 18.6339 | − | 1.95850i | 0.655537 | − | 0.0688997i | ||||
\(809\) | −5.45014 | + | 0.572832i | −0.191617 | + | 0.0201397i | −0.199851 | − | 0.979826i | \(-0.564046\pi\) |
0.00823400 | + | 0.999966i | \(0.497379\pi\) | |||||||
\(810\) | −1.17940 | + | 1.30986i | −0.0414401 | + | 0.0460239i | ||||
\(811\) | −10.6960 | + | 32.9190i | −0.375589 | + | 1.15594i | 0.567492 | + | 0.823379i | \(0.307914\pi\) |
−0.943081 | + | 0.332565i | \(0.892086\pi\) | |||||||
\(812\) | 6.45529 | − | 7.95912i | 0.226536 | − | 0.279310i | ||||
\(813\) | 15.3141i | 0.537088i | ||||||||
\(814\) | −2.70117 | + | 2.08413i | −0.0946759 | + | 0.0730486i | ||||
\(815\) | −28.1934 | − | 16.2775i | −0.987572 | − | 0.570175i | ||||
\(816\) | 0.641655 | + | 1.44118i | 0.0224624 | + | 0.0504514i | ||||
\(817\) | 0.405042 | + | 1.90557i | 0.0141706 | + | 0.0666676i | ||||
\(818\) | −20.7347 | + | 6.73712i | −0.724972 | + | 0.235558i | ||||
\(819\) | 0.761592 | + | 14.7486i | 0.0266122 | + | 0.515358i | ||||
\(820\) | 6.83215 | + | 9.40365i | 0.238589 | + | 0.328390i | ||||
\(821\) | −14.9968 | − | 13.5032i | −0.523392 | − | 0.471264i | 0.364573 | − | 0.931175i | \(-0.381215\pi\) |
−0.887965 | + | 0.459910i | \(0.847882\pi\) | |||||||
\(822\) | −6.06698 | − | 6.73806i | −0.211610 | − | 0.235017i | ||||
\(823\) | 48.2090 | − | 21.4640i | 1.68046 | − | 0.748189i | 0.680579 | − | 0.732674i | \(-0.261728\pi\) |
0.999880 | − | 0.0155143i | \(-0.00493855\pi\) | |||||||
\(824\) | 0.818853 | + | 1.41830i | 0.0285261 | + | 0.0494087i | ||||
\(825\) | 6.17713 | + | 1.12786i | 0.215060 | + | 0.0392672i | ||||
\(826\) | 8.11122 | + | 15.9494i | 0.282225 | + | 0.554951i | ||||
\(827\) | 13.2624 | − | 18.2542i | 0.461181 | − | 0.634761i | −0.513573 | − | 0.858046i | \(-0.671678\pi\) |
0.974753 | + | 0.223286i | \(0.0716783\pi\) | |||||||
\(828\) | 3.11927 | − | 0.663022i | 0.108402 | − | 0.0230416i | ||||
\(829\) | −0.842230 | + | 3.96238i | −0.0292518 | + | 0.137619i | −0.990350 | − | 0.138587i | \(-0.955744\pi\) |
0.961098 | + | 0.276206i | \(0.0890773\pi\) | |||||||
\(830\) | 1.96138 | + | 18.6613i | 0.0680805 | + | 0.647743i | ||||
\(831\) | −7.38251 | − | 3.28690i | −0.256096 | − | 0.114021i | ||||
\(832\) | −1.72490 | − | 5.30868i | −0.0598000 | − | 0.184046i | ||||
\(833\) | 10.9842 | − | 1.13744i | 0.380581 | − | 0.0394101i | ||||
\(834\) | −8.98696 | − | 6.52941i | −0.311193 | − | 0.226095i | ||||
\(835\) | 11.6934 | − | 6.75118i | 0.404666 | − | 0.233634i | ||||
\(836\) | 27.0923 | + | 2.05966i | 0.937008 | + | 0.0712348i | ||||
\(837\) | −2.74124 | + | 4.74797i | −0.0947512 | + | 0.164114i | ||||
\(838\) | 1.22481 | − | 11.6533i | 0.0423103 | − | 0.402555i | ||||
\(839\) | 36.4220 | + | 11.8342i | 1.25743 | + | 0.408563i | 0.860577 | − | 0.509320i | \(-0.170103\pi\) |
0.396850 | + | 0.917883i | \(0.370103\pi\) | |||||||
\(840\) | −3.29498 | − | 3.30004i | −0.113688 | − | 0.113862i | ||||
\(841\) | −11.3241 | + | 8.22745i | −0.390487 | + | 0.283705i | ||||
\(842\) | −11.8567 | + | 26.6307i | −0.408610 | + | 0.917753i | ||||
\(843\) | −18.4818 | − | 3.92842i | −0.636546 | − | 0.135302i | ||||
\(844\) | −17.1331 | + | 15.4267i | −0.589746 | + | 0.531010i | ||||
\(845\) | −31.8288 | − | 3.34534i | −1.09494 | − | 0.115083i | ||||
\(846\) | −1.38481 | −0.0476107 | ||||||||
\(847\) | 23.4668 | − | 17.2136i | 0.806330 | − | 0.591465i | ||||
\(848\) | −7.56708 | −0.259855 | ||||||||
\(849\) | −25.0818 | − | 2.63621i | −0.860806 | − | 0.0904744i | ||||
\(850\) | 2.21959 | − | 1.99853i | 0.0761314 | − | 0.0685490i | ||||
\(851\) | 3.20872 | + | 0.682034i | 0.109993 | + | 0.0233798i | ||||
\(852\) | 0.0881466 | − | 0.197981i | 0.00301985 | − | 0.00678270i | ||||
\(853\) | 35.0928 | − | 25.4964i | 1.20155 | − | 0.872981i | 0.207118 | − | 0.978316i | \(-0.433592\pi\) |
0.994437 | + | 0.105335i | \(0.0335915\pi\) | |||||||
\(854\) | −13.6550 | + | 3.64763i | −0.467266 | + | 0.124819i | ||||
\(855\) | 13.7328 | + | 4.46206i | 0.469652 | + | 0.152599i | ||||
\(856\) | 0.196453 | − | 1.86913i | 0.00671463 | − | 0.0638855i | ||||
\(857\) | 13.1525 | − | 22.7807i | 0.449279 | − | 0.778175i | −0.549060 | − | 0.835783i | \(-0.685014\pi\) |
0.998339 | + | 0.0576082i | \(0.0183474\pi\) | |||||||
\(858\) | 18.4597 | + | 1.40338i | 0.630205 | + | 0.0479106i | ||||
\(859\) | −30.2125 | + | 17.4432i | −1.03084 | + | 0.595155i | −0.917225 | − | 0.398370i | \(-0.869576\pi\) |
−0.113614 | + | 0.993525i | \(0.536243\pi\) | |||||||
\(860\) | −0.339101 | − | 0.246372i | −0.0115633 | − | 0.00840120i | ||||
\(861\) | −16.2839 | − | 6.26516i | −0.554955 | − | 0.213516i | ||||
\(862\) | 11.5256 | + | 35.4723i | 0.392565 | + | 1.20819i | ||||
\(863\) | −6.42289 | − | 2.85965i | −0.218638 | − | 0.0973438i | 0.294495 | − | 0.955653i | \(-0.404849\pi\) |
−0.513133 | + | 0.858309i | \(0.671515\pi\) | |||||||
\(864\) | 0.104528 | + | 0.994522i | 0.00355613 | + | 0.0338343i | ||||
\(865\) | −9.53747 | + | 44.8703i | −0.324284 | + | 1.52564i | ||||
\(866\) | 5.35719 | − | 1.13871i | 0.182045 | − | 0.0386948i | ||||
\(867\) | 8.52952 | − | 11.7399i | 0.289678 | − | 0.398707i | ||||
\(868\) | −12.1591 | − | 7.90948i | −0.412707 | − | 0.268465i | ||||
\(869\) | 5.16717 | + | 0.943458i | 0.175284 | + | 0.0320046i | ||||
\(870\) | −3.41354 | − | 5.91243i | −0.115730 | − | 0.200450i | ||||
\(871\) | 54.0889 | − | 24.0819i | 1.83273 | − | 0.815985i | ||||
\(872\) | 2.71211 | + | 3.01211i | 0.0918437 | + | 0.102003i | ||||
\(873\) | 5.95292 | + | 5.36003i | 0.201476 | + | 0.181410i | ||||
\(874\) | −15.3557 | − | 21.1353i | −0.519414 | − | 0.714912i | ||||
\(875\) | −14.6159 | + | 28.6310i | −0.494109 | + | 0.967905i | ||||
\(876\) | 9.53193 | − | 3.09711i | 0.322054 | − | 0.104642i | ||||
\(877\) | −7.18454 | − | 33.8006i | −0.242605 | − | 1.14136i | −0.915717 | − | 0.401825i | \(-0.868376\pi\) |
0.673112 | − | 0.739540i | \(-0.264957\pi\) | |||||||
\(878\) | −6.00975 | − | 13.4981i | −0.202819 | − | 0.455539i | ||||
\(879\) | −17.6265 | − | 10.1767i | −0.594527 | − | 0.343250i | ||||
\(880\) | −4.62834 | + | 3.57107i | −0.156021 | + | 0.120381i | ||||
\(881\) | − | 28.4742i | − | 0.959321i | −0.877454 | − | 0.479661i | \(-0.840760\pi\) | ||
0.877454 | − | 0.479661i | \(-0.159240\pi\) | |||||||
\(882\) | 6.84479 | + | 1.46589i | 0.230476 | + | 0.0493591i | ||||
\(883\) | −3.09987 | + | 9.54041i | −0.104319 | + | 0.321060i | −0.989570 | − | 0.144053i | \(-0.953986\pi\) |
0.885251 | + | 0.465113i | \(0.153986\pi\) | |||||||
\(884\) | 5.89223 | − | 6.54398i | 0.198177 | − | 0.220098i | ||||
\(885\) | 11.8553 | − | 1.24604i | 0.398511 | − | 0.0418852i | ||||
\(886\) | −29.2925 | + | 3.07876i | −0.984099 | + | 0.103433i | ||||
\(887\) | 17.8684 | − | 19.8449i | 0.599963 | − | 0.666326i | −0.364297 | − | 0.931283i | \(-0.618691\pi\) |
0.964260 | + | 0.264956i | \(0.0853575\pi\) | |||||||
\(888\) | −0.317878 | + | 0.978328i | −0.0106673 | + | 0.0328305i | ||||
\(889\) | −31.0012 | − | 4.93450i | −1.03975 | − | 0.165498i | ||||
\(890\) | 13.9224i | 0.466680i | ||||||||
\(891\) | −3.18254 | − | 0.933504i | −0.106619 | − | 0.0312736i | ||||
\(892\) | 17.6660 | + | 10.1995i | 0.591501 | + | 0.341503i | ||||
\(893\) | 4.61429 | + | 10.3639i | 0.154411 | + | 0.346813i | ||||
\(894\) | 2.74459 | + | 12.9123i | 0.0917928 | + | 0.431851i | ||||
\(895\) | 19.7604 | − | 6.42054i | 0.660517 | − | 0.214615i | ||||
\(896\) | −2.64223 | + | 0.136440i | −0.0882707 | + | 0.00455814i | ||||
\(897\) | −10.4628 | − | 14.4008i | −0.349343 | − | 0.480830i | ||||
\(898\) | −4.86113 | − | 4.37698i | −0.162218 | − | 0.146062i | ||||
\(899\) | −14.2093 | − | 15.7810i | −0.473906 | − | 0.526326i | ||||
\(900\) | 1.72958 | − | 0.770061i | 0.0576528 | − | 0.0256687i | ||||
\(901\) | −5.96879 | − | 10.3383i | −0.198849 | − | 0.344417i | ||||
\(902\) | −10.3851 | + | 19.2490i | −0.345785 | + | 0.640920i | ||||
\(903\) | 0.628284 | + | 0.0334105i | 0.0209080 | + | 0.00111183i | ||||
\(904\) | 10.5127 | − | 14.4695i | 0.349648 | − | 0.481249i | ||||
\(905\) | 30.3051 | − | 6.44155i | 1.00738 | − | 0.214124i | ||||
\(906\) | 4.26060 | − | 20.0445i | 0.141549 | − | 0.665935i | ||||
\(907\) | −2.85779 | − | 27.1900i | −0.0948913 | − | 0.902830i | −0.933616 | − | 0.358275i | \(-0.883365\pi\) |
0.838725 | − | 0.544555i | \(-0.183302\pi\) | |||||||
\(908\) | −8.24362 | − | 3.67030i | −0.273574 | − | 0.121803i | ||||
\(909\) | 5.78990 | + | 17.8195i | 0.192039 | + | 0.591035i | ||||
\(910\) | −9.34713 | + | 24.2943i | −0.309854 | + | 0.805350i | ||||
\(911\) | 4.44954 | + | 3.23278i | 0.147420 | + | 0.107107i | 0.659050 | − | 0.752099i | \(-0.270958\pi\) |
−0.511631 | + | 0.859206i | \(0.670958\pi\) | |||||||
\(912\) | 7.09467 | − | 4.09611i | 0.234928 | − | 0.135636i | ||||
\(913\) | −30.0557 | + | 18.5284i | −0.994698 | + | 0.613200i | ||||
\(914\) | −3.88782 | + | 6.73390i | −0.128598 | + | 0.222737i | ||||
\(915\) | −0.984233 | + | 9.36435i | −0.0325377 | + | 0.309576i | ||||
\(916\) | −6.56633 | − | 2.13353i | −0.216958 | − | 0.0704938i | ||||
\(917\) | −47.3309 | − | 12.7212i | −1.56300 | − | 0.420092i | ||||
\(918\) | −1.27628 | + | 0.927271i | −0.0421235 | + | 0.0306045i | ||||
\(919\) | −18.7958 | + | 42.2160i | −0.620016 | + | 1.39258i | 0.281386 | + | 0.959595i | \(0.409206\pi\) |
−0.901402 | + | 0.432984i | \(0.857461\pi\) | |||||||
\(920\) | 5.49801 | + | 1.16864i | 0.181264 | + | 0.0385289i | ||||
\(921\) | −5.38978 | + | 4.85298i | −0.177599 | + | 0.159911i | ||||
\(922\) | 27.6747 | + | 2.90872i | 0.911416 | + | 0.0957937i | ||||
\(923\) | −1.20969 | −0.0398173 | ||||||||
\(924\) | 2.91347 | − | 8.27718i | 0.0958460 | − | 0.272299i | ||||
\(925\) | 1.94755 | 0.0640352 | ||||||||
\(926\) | 37.4768 | + | 3.93897i | 1.23156 | + | 0.129443i | ||||
\(927\) | −1.21705 | + | 1.09584i | −0.0399733 | + | 0.0359921i | ||||
\(928\) | −3.78868 | − | 0.805309i | −0.124370 | − | 0.0264356i | ||||
\(929\) | 2.41358 | − | 5.42100i | 0.0791871 | − | 0.177857i | −0.869613 | − | 0.493734i | \(-0.835632\pi\) |
0.948800 | + | 0.315876i | \(0.102298\pi\) | |||||||
\(930\) | −7.81785 | + | 5.68000i | −0.256357 | + | 0.186254i | ||||
\(931\) | −11.8367 | − | 56.1106i | −0.387932 | − | 1.83895i | ||||
\(932\) | 2.71889 | + | 0.883421i | 0.0890603 | + | 0.0289374i | ||||
\(933\) | −0.354397 | + | 3.37186i | −0.0116024 | + | 0.110390i | ||||
\(934\) | −3.79965 | + | 6.58119i | −0.124328 | + | 0.215343i | ||||
\(935\) | −8.52960 | − | 3.50650i | −0.278948 | − | 0.114675i | ||||
\(936\) | 4.83405 | − | 2.79094i | 0.158006 | − | 0.0912247i | ||||
\(937\) | 16.2313 | + | 11.7927i | 0.530253 | + | 0.385252i | 0.820453 | − | 0.571715i | \(-0.193722\pi\) |
−0.290199 | + | 0.956966i | \(0.593722\pi\) | |||||||
\(938\) | −4.36887 | − | 27.7216i | −0.142649 | − | 0.905143i | ||||
\(939\) | −5.51692 | − | 16.9793i | −0.180038 | − | 0.554099i | ||||
\(940\) | −2.22983 | − | 0.992785i | −0.0727291 | − | 0.0323811i | ||||
\(941\) | 3.45779 | + | 32.8987i | 0.112721 | + | 1.07247i | 0.893933 | + | 0.448201i | \(0.147935\pi\) |
−0.781212 | + | 0.624266i | \(0.785398\pi\) | |||||||
\(942\) | 2.42252 | − | 11.3970i | 0.0789299 | − | 0.371336i | ||||
\(943\) | 20.5703 | − | 4.37235i | 0.669860 | − | 0.142383i | ||||
\(944\) | 3.97524 | − | 5.47145i | 0.129383 | − | 0.178081i | ||||
\(945\) | 2.54286 | − | 3.90909i | 0.0827193 | − | 0.127163i | ||||
\(946\) | 0.141666 | − | 0.775881i | 0.00460595 | − | 0.0252261i | ||||
\(947\) | 15.3745 | + | 26.6294i | 0.499604 | + | 0.865339i | 1.00000 | 0.000457686i | \(-0.000145686\pi\) | |
−0.500396 | + | 0.865796i | \(0.666812\pi\) | |||||||
\(948\) | 1.44680 | − | 0.644156i | 0.0469898 | − | 0.0209212i | ||||
\(949\) | −37.4340 | − | 41.5746i | −1.21516 | − | 1.34957i | ||||
\(950\) | −11.5262 | − | 10.3782i | −0.373960 | − | 0.336715i | ||||
\(951\) | 9.27416 | + | 12.7648i | 0.300735 | + | 0.413926i | ||||
\(952\) | −2.27056 | − | 3.50223i | −0.0735891 | − | 0.113508i | ||||
\(953\) | −36.9208 | + | 11.9963i | −1.19598 | + | 0.388598i | −0.838282 | − | 0.545238i | \(-0.816439\pi\) |
−0.357702 | + | 0.933836i | \(0.616439\pi\) | |||||||
\(954\) | −1.57329 | − | 7.40172i | −0.0509370 | − | 0.239640i | ||||
\(955\) | 1.77155 | + | 3.97896i | 0.0573260 | + | 0.128756i | ||||
\(956\) | 17.6369 | + | 10.1827i | 0.570418 | + | 0.329331i | ||||
\(957\) | 7.24805 | − | 10.6063i | 0.234296 | − | 0.342855i | ||||
\(958\) | − | 35.9860i | − | 1.16266i | ||||||
\(959\) | 18.6313 | + | 15.1110i | 0.601636 | + | 0.487960i | ||||
\(960\) | −0.544671 | + | 1.67633i | −0.0175792 | + | 0.0541032i | ||||
\(961\) | 0.630559 | − | 0.700307i | 0.0203406 | − | 0.0225905i | ||||
\(962\) | 5.71048 | − | 0.600196i | 0.184113 | − | 0.0193511i | ||||
\(963\) | 1.86913 | − | 0.196453i | 0.0602318 | − | 0.00633062i | ||||
\(964\) | 8.28007 | − | 9.19595i | 0.266683 | − | 0.296181i | ||||
\(965\) | −11.8275 | + | 36.4013i | −0.380740 | + | 1.17180i | ||||
\(966\) | −7.87912 | + | 3.01757i | −0.253507 | + | 0.0970889i | ||||
\(967\) | 13.6406i | 0.438653i | 0.975651 | + | 0.219327i | \(0.0703860\pi\) | ||||
−0.975651 | + | 0.219327i | \(0.929614\pi\) | |||||||
\(968\) | −9.82752 | − | 4.94164i | −0.315868 | − | 0.158830i | ||||
\(969\) | 11.1923 | + | 6.46189i | 0.359549 | + | 0.207586i | ||||
\(970\) | 5.74277 | + | 12.8985i | 0.184389 | + | 0.414145i | ||||
\(971\) | 11.8314 | + | 55.6625i | 0.379688 | + | 1.78629i | 0.588669 | + | 0.808374i | \(0.299652\pi\) |
−0.208981 | + | 0.977920i | \(0.567015\pi\) | |||||||
\(972\) | −0.951057 | + | 0.309017i | −0.0305052 | + | 0.00991172i | ||||
\(973\) | 26.1767 | + | 13.3630i | 0.839187 | + | 0.428399i | ||||
\(974\) | −8.42468 | − | 11.5956i | −0.269944 | − | 0.371546i | ||||
\(975\) | −7.85354 | − | 7.07136i | −0.251515 | − | 0.226465i | ||||
\(976\) | 3.57456 | + | 3.96995i | 0.114419 | + | 0.127075i | ||||
\(977\) | −27.3631 | + | 12.1828i | −0.875424 | + | 0.389764i | −0.794721 | − | 0.606975i | \(-0.792383\pi\) |
−0.0807023 | + | 0.996738i | \(0.525716\pi\) | |||||||
\(978\) | −9.23496 | − | 15.9954i | −0.295301 | − | 0.511477i | ||||
\(979\) | −23.6153 | + | 11.3412i | −0.754748 | + | 0.362466i | ||||
\(980\) | 9.97063 | + | 7.26750i | 0.318500 | + | 0.232152i | ||||
\(981\) | −2.38240 | + | 3.27910i | −0.0760643 | + | 0.104694i | ||||
\(982\) | 27.2178 | − | 5.78531i | 0.868554 | − | 0.184617i | ||||
\(983\) | −3.56118 | + | 16.7540i | −0.113584 | + | 0.534370i | 0.884157 | + | 0.467190i | \(0.154734\pi\) |
−0.997741 | + | 0.0671802i | \(0.978600\pi\) | |||||||
\(984\) | 0.689320 | + | 6.55845i | 0.0219747 | + | 0.209076i | ||||
\(985\) | 10.7829 | + | 4.80088i | 0.343573 | + | 0.152969i | ||||
\(986\) | −1.88823 | − | 5.81136i | −0.0601334 | − | 0.185071i | ||||
\(987\) | 3.61919 | − | 0.570377i | 0.115200 | − | 0.0181553i | ||||
\(988\) | −36.9947 | − | 26.8782i | −1.17696 | − | 0.855110i | ||||
\(989\) | −0.656749 | + | 0.379174i | −0.0208834 | + | 0.0120570i | ||||
\(990\) | −4.45532 | − | 3.78474i | −0.141599 | − | 0.120287i | ||||
\(991\) | −16.0095 | + | 27.7293i | −0.508560 | + | 0.880851i | 0.491391 | + | 0.870939i | \(0.336489\pi\) |
−0.999951 | + | 0.00991210i | \(0.996845\pi\) | |||||||
\(992\) | −0.573076 | + | 5.45245i | −0.0181952 | + | 0.173116i | ||||
\(993\) | 31.4582 | + | 10.2214i | 0.998296 | + | 0.324366i | ||||
\(994\) | −0.148826 | + | 0.553727i | −0.00472048 | + | 0.0175632i | ||||
\(995\) | −17.6364 | + | 12.8136i | −0.559111 | + | 0.406218i | ||||
\(996\) | −4.33001 | + | 9.72535i | −0.137201 | + | 0.308160i | ||||
\(997\) | −34.2723 | − | 7.28480i | −1.08541 | − | 0.230712i | −0.369733 | − | 0.929138i | \(-0.620551\pi\) |
−0.715682 | + | 0.698426i | \(0.753884\pi\) | |||||||
\(998\) | −15.3536 | + | 13.8244i | −0.486010 | + | 0.437605i | ||||
\(999\) | −1.02304 | − | 0.107526i | −0.0323675 | − | 0.00340196i |
(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.ba.a.73.2 | yes | 64 | |
7.5 | odd | 6 | 462.2.ba.b.271.6 | yes | 64 | ||
11.8 | odd | 10 | 462.2.ba.b.283.6 | yes | 64 | ||
77.19 | even | 30 | inner | 462.2.ba.a.19.2 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.ba.a.19.2 | ✓ | 64 | 77.19 | even | 30 | inner | |
462.2.ba.a.73.2 | yes | 64 | 1.1 | even | 1 | trivial | |
462.2.ba.b.271.6 | yes | 64 | 7.5 | odd | 6 | ||
462.2.ba.b.283.6 | yes | 64 | 11.8 | odd | 10 |