Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(31,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bz (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 73.1 | ||
Character | \(\chi\) | \(=\) | 273.73 |
Dual form | 273.2.bz.a.187.1 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.566824 | + | 2.11542i | −0.400805 | + | 1.49582i | 0.410858 | + | 0.911699i | \(0.365229\pi\) |
−0.811663 | + | 0.584125i | \(0.801438\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | −2.42164 | − | 1.39814i | −1.21082 | − | 0.699068i | ||||
\(5\) | 0.631372 | + | 0.169176i | 0.282358 | + | 0.0756576i | 0.397219 | − | 0.917724i | \(-0.369975\pi\) |
−0.114861 | + | 0.993382i | \(0.536642\pi\) | |||||||
\(6\) | −1.54859 | + | 1.54859i | −0.632210 | + | 0.632210i | ||||
\(7\) | 1.92845 | + | 1.81137i | 0.728887 | + | 0.684634i | ||||
\(8\) | 1.23310 | − | 1.23310i | 0.435966 | − | 0.435966i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −0.715753 | + | 1.23972i | −0.226341 | + | 0.392034i | ||||
\(11\) | 0.659241 | + | 2.46032i | 0.198769 | + | 0.741815i | 0.991259 | + | 0.131930i | \(0.0421175\pi\) |
−0.792490 | + | 0.609884i | \(0.791216\pi\) | |||||||
\(12\) | −1.39814 | − | 2.42164i | −0.403607 | − | 0.699068i | ||||
\(13\) | −1.72632 | − | 3.16541i | −0.478795 | − | 0.877927i | ||||
\(14\) | −4.92490 | + | 3.05275i | −1.31623 | + | 0.815882i | ||||
\(15\) | 0.462196 | + | 0.462196i | 0.119339 | + | 0.119339i | ||||
\(16\) | −0.886704 | − | 1.53582i | −0.221676 | − | 0.383954i | ||||
\(17\) | −2.99130 | + | 5.18109i | −0.725497 | + | 1.25660i | 0.233272 | + | 0.972412i | \(0.425057\pi\) |
−0.958769 | + | 0.284186i | \(0.908277\pi\) | |||||||
\(18\) | −2.11542 | + | 0.566824i | −0.498608 | + | 0.133602i | ||||
\(19\) | 1.70449 | + | 0.456716i | 0.391036 | + | 0.104778i | 0.448980 | − | 0.893542i | \(-0.351788\pi\) |
−0.0579434 | + | 0.998320i | \(0.518454\pi\) | |||||||
\(20\) | −1.29243 | − | 1.29243i | −0.288995 | − | 0.288995i | ||||
\(21\) | 0.764403 | + | 2.53292i | 0.166806 | + | 0.552729i | ||||
\(22\) | −5.57827 | −1.18929 | ||||||||
\(23\) | 4.55977 | − | 2.63259i | 0.950779 | − | 0.548932i | 0.0574559 | − | 0.998348i | \(-0.481701\pi\) |
0.893323 | + | 0.449416i | \(0.148368\pi\) | |||||||
\(24\) | 1.68444 | − | 0.451346i | 0.343836 | − | 0.0921305i | ||||
\(25\) | −3.96012 | − | 2.28637i | −0.792023 | − | 0.457275i | ||||
\(26\) | 7.67468 | − | 1.85765i | 1.50513 | − | 0.364316i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −2.13748 | − | 7.08273i | −0.403946 | − | 1.33851i | ||||
\(29\) | −0.0763835 | −0.0141841 | −0.00709203 | − | 0.999975i | \(-0.502257\pi\) | ||||
−0.00709203 | + | 0.999975i | \(0.502257\pi\) | |||||||
\(30\) | −1.23972 | + | 0.715753i | −0.226341 | + | 0.130678i | ||||
\(31\) | −2.04058 | − | 7.61556i | −0.366500 | − | 1.36780i | −0.865377 | − | 0.501122i | \(-0.832921\pi\) |
0.498877 | − | 0.866673i | \(-0.333746\pi\) | |||||||
\(32\) | 7.12039 | − | 1.90790i | 1.25872 | − | 0.337273i | ||||
\(33\) | −0.659241 | + | 2.46032i | −0.114759 | + | 0.428287i | ||||
\(34\) | −9.26461 | − | 9.26461i | −1.58887 | − | 1.58887i | ||||
\(35\) | 0.911131 | + | 1.46990i | 0.154009 | + | 0.248458i | ||||
\(36\) | − | 2.79627i | − | 0.466045i | ||||||
\(37\) | 10.6873 | + | 2.86365i | 1.75698 | + | 0.470781i | 0.986093 | − | 0.166193i | \(-0.0531476\pi\) |
0.770885 | + | 0.636974i | \(0.219814\pi\) | |||||||
\(38\) | −1.93229 | + | 3.34682i | −0.313458 | + | 0.542926i | ||||
\(39\) | 0.0876680 | − | 3.60449i | 0.0140381 | − | 0.577180i | ||||
\(40\) | 0.987154 | − | 0.569934i | 0.156083 | − | 0.0901144i | ||||
\(41\) | −1.05558 | + | 1.05558i | −0.164853 | + | 0.164853i | −0.784713 | − | 0.619860i | \(-0.787190\pi\) |
0.619860 | + | 0.784713i | \(0.287190\pi\) | |||||||
\(42\) | −5.79146 | + | 0.181311i | −0.893642 | + | 0.0279768i | ||||
\(43\) | − | 0.901426i | − | 0.137466i | −0.997635 | − | 0.0687331i | \(-0.978104\pi\) | ||
0.997635 | − | 0.0687331i | \(-0.0218957\pi\) | |||||||
\(44\) | 1.84342 | − | 6.87972i | 0.277905 | − | 1.03716i | ||||
\(45\) | 0.169176 | + | 0.631372i | 0.0252192 | + | 0.0941193i | ||||
\(46\) | 2.98443 | + | 11.1380i | 0.440030 | + | 1.64221i | ||||
\(47\) | 0.875544 | − | 3.26758i | 0.127711 | − | 0.476625i | −0.872211 | − | 0.489131i | \(-0.837314\pi\) |
0.999922 | + | 0.0125057i | \(0.00398078\pi\) | |||||||
\(48\) | − | 1.77341i | − | 0.255970i | ||||||
\(49\) | 0.437863 | + | 6.98629i | 0.0625518 | + | 0.998042i | ||||
\(50\) | 7.08132 | − | 7.08132i | 1.00145 | − | 1.00145i | ||||
\(51\) | −5.18109 | + | 2.99130i | −0.725497 | + | 0.418866i | ||||
\(52\) | −0.245144 | + | 10.0791i | −0.0339953 | + | 1.39772i | ||||
\(53\) | 0.696069 | − | 1.20563i | 0.0956124 | − | 0.165606i | −0.814252 | − | 0.580512i | \(-0.802852\pi\) |
0.909864 | + | 0.414907i | \(0.136186\pi\) | |||||||
\(54\) | −2.11542 | − | 0.566824i | −0.287872 | − | 0.0771350i | ||||
\(55\) | 1.66490i | 0.224496i | ||||||||
\(56\) | 4.61158 | − | 0.144373i | 0.616248 | − | 0.0192926i | ||||
\(57\) | 1.24777 | + | 1.24777i | 0.165271 | + | 0.165271i | ||||
\(58\) | 0.0432960 | − | 0.161583i | 0.00568504 | − | 0.0212169i | ||||
\(59\) | −5.09918 | + | 1.36632i | −0.663857 | + | 0.177880i | −0.574986 | − | 0.818163i | \(-0.694992\pi\) |
−0.0888707 | + | 0.996043i | \(0.528326\pi\) | |||||||
\(60\) | −0.473061 | − | 1.76549i | −0.0610719 | − | 0.227923i | ||||
\(61\) | 2.64864 | − | 1.52919i | 0.339124 | − | 0.195793i | −0.320761 | − | 0.947160i | \(-0.603939\pi\) |
0.659884 | + | 0.751367i | \(0.270605\pi\) | |||||||
\(62\) | 17.2667 | 2.19288 | ||||||||
\(63\) | −0.604468 | + | 2.57578i | −0.0761558 | + | 0.324517i | ||||
\(64\) | 12.5972i | 1.57465i | ||||||||
\(65\) | −0.554440 | − | 2.29060i | −0.0687698 | − | 0.284114i | ||||
\(66\) | −4.83093 | − | 2.78914i | −0.594646 | − | 0.343319i | ||||
\(67\) | −3.51049 | + | 0.940634i | −0.428875 | + | 0.114917i | −0.466798 | − | 0.884364i | \(-0.654593\pi\) |
0.0379229 | + | 0.999281i | \(0.487926\pi\) | |||||||
\(68\) | 14.4877 | − | 8.36449i | 1.75689 | − | 1.01434i | ||||
\(69\) | 5.26517 | 0.633852 | ||||||||
\(70\) | −3.62589 | + | 1.09425i | −0.433377 | + | 0.130788i | ||||
\(71\) | 4.48225 | + | 4.48225i | 0.531946 | + | 0.531946i | 0.921151 | − | 0.389205i | \(-0.127250\pi\) |
−0.389205 | + | 0.921151i | \(0.627250\pi\) | |||||||
\(72\) | 1.68444 | + | 0.451346i | 0.198514 | + | 0.0531916i | ||||
\(73\) | 14.9605 | − | 4.00866i | 1.75100 | − | 0.469178i | 0.766158 | − | 0.642652i | \(-0.222166\pi\) |
0.984839 | + | 0.173474i | \(0.0554992\pi\) | |||||||
\(74\) | −12.1156 | + | 20.9849i | −1.40841 | + | 2.43944i | ||||
\(75\) | −2.28637 | − | 3.96012i | −0.264008 | − | 0.457275i | ||||
\(76\) | −3.48911 | − | 3.48911i | −0.400228 | − | 0.400228i | ||||
\(77\) | −3.18524 | + | 5.93874i | −0.362992 | + | 0.676783i | ||||
\(78\) | 7.57529 | + | 2.22856i | 0.857733 | + | 0.252335i | ||||
\(79\) | 5.60217 | + | 9.70324i | 0.630293 | + | 1.09170i | 0.987492 | + | 0.157671i | \(0.0503987\pi\) |
−0.357198 | + | 0.934029i | \(0.616268\pi\) | |||||||
\(80\) | −0.300017 | − | 1.11968i | −0.0335430 | − | 0.125184i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −1.63466 | − | 2.83131i | −0.180518 | − | 0.312666i | ||||
\(83\) | 6.20423 | − | 6.20423i | 0.681002 | − | 0.681002i | −0.279224 | − | 0.960226i | \(-0.590077\pi\) |
0.960226 | + | 0.279224i | \(0.0900771\pi\) | |||||||
\(84\) | 1.69026 | − | 7.20257i | 0.184422 | − | 0.785865i | ||||
\(85\) | −2.76514 | + | 2.76514i | −0.299921 | + | 0.299921i | ||||
\(86\) | 1.90689 | + | 0.510949i | 0.205625 | + | 0.0550971i | ||||
\(87\) | −0.0661501 | − | 0.0381918i | −0.00709203 | − | 0.00409459i | ||||
\(88\) | 3.84673 | + | 2.22091i | 0.410063 | + | 0.236750i | ||||
\(89\) | 2.39127 | − | 8.92433i | 0.253474 | − | 0.945977i | −0.715459 | − | 0.698654i | \(-0.753783\pi\) |
0.968933 | − | 0.247323i | \(-0.0795508\pi\) | |||||||
\(90\) | −1.43151 | −0.150894 | ||||||||
\(91\) | 2.40461 | − | 9.23135i | 0.252071 | − | 0.967709i | ||||
\(92\) | −14.7229 | −1.53496 | ||||||||
\(93\) | 2.04058 | − | 7.61556i | 0.211599 | − | 0.789697i | ||||
\(94\) | 6.41600 | + | 3.70428i | 0.661760 | + | 0.382067i | ||||
\(95\) | 0.998900 | + | 0.576715i | 0.102485 | + | 0.0591697i | ||||
\(96\) | 7.12039 | + | 1.90790i | 0.726721 | + | 0.194724i | ||||
\(97\) | 6.89422 | − | 6.89422i | 0.700002 | − | 0.700002i | −0.264409 | − | 0.964411i | \(-0.585177\pi\) |
0.964411 | + | 0.264409i | \(0.0851769\pi\) | |||||||
\(98\) | −15.0271 | − | 3.03374i | −1.51797 | − | 0.306454i | ||||
\(99\) | −1.80108 | + | 1.80108i | −0.181015 | + | 0.181015i | ||||
\(100\) | 6.39332 | + | 11.0736i | 0.639332 | + | 1.10736i | ||||
\(101\) | −3.07469 | + | 5.32552i | −0.305943 | + | 0.529909i | −0.977471 | − | 0.211070i | \(-0.932305\pi\) |
0.671528 | + | 0.740979i | \(0.265638\pi\) | |||||||
\(102\) | −3.39108 | − | 12.6557i | −0.335767 | − | 1.25310i | ||||
\(103\) | −8.10374 | − | 14.0361i | −0.798485 | − | 1.38302i | −0.920603 | − | 0.390501i | \(-0.872302\pi\) |
0.122118 | − | 0.992516i | \(-0.461031\pi\) | |||||||
\(104\) | −6.03199 | − | 1.77454i | −0.591485 | − | 0.174008i | ||||
\(105\) | 0.0541144 | + | 1.72853i | 0.00528103 | + | 0.168688i | ||||
\(106\) | 2.15585 | + | 2.15585i | 0.209395 | + | 0.209395i | ||||
\(107\) | −8.76076 | − | 15.1741i | −0.846935 | − | 1.46693i | −0.883931 | − | 0.467618i | \(-0.845112\pi\) |
0.0369960 | − | 0.999315i | \(-0.488221\pi\) | |||||||
\(108\) | 1.39814 | − | 2.42164i | 0.134536 | − | 0.233023i | ||||
\(109\) | −14.4056 | + | 3.85998i | −1.37981 | + | 0.369719i | −0.871052 | − | 0.491190i | \(-0.836562\pi\) |
−0.508758 | + | 0.860909i | \(0.669895\pi\) | |||||||
\(110\) | −3.52196 | − | 0.943707i | −0.335806 | − | 0.0899790i | ||||
\(111\) | 7.82363 | + | 7.82363i | 0.742586 | + | 0.742586i | ||||
\(112\) | 1.07197 | − | 4.56790i | 0.101291 | − | 0.431626i | ||||
\(113\) | −0.944250 | −0.0888276 | −0.0444138 | − | 0.999013i | \(-0.514142\pi\) | ||||
−0.0444138 | + | 0.999013i | \(0.514142\pi\) | |||||||
\(114\) | −3.34682 | + | 1.93229i | −0.313458 | + | 0.180975i | ||||
\(115\) | 3.32428 | − | 0.890739i | 0.309991 | − | 0.0830618i | ||||
\(116\) | 0.184974 | + | 0.106795i | 0.0171744 | + | 0.00991562i | ||||
\(117\) | 1.87817 | − | 3.07774i | 0.173636 | − | 0.284537i | ||||
\(118\) | − | 11.5613i | − | 1.06431i | ||||||
\(119\) | −15.1535 | + | 4.57312i | −1.38912 | + | 0.419217i | ||||
\(120\) | 1.13987 | 0.104055 | ||||||||
\(121\) | 3.90770 | − | 2.25611i | 0.355246 | − | 0.205101i | ||||
\(122\) | 1.73357 | + | 6.46976i | 0.156950 | + | 0.585744i | ||||
\(123\) | −1.44194 | + | 0.386368i | −0.130016 | + | 0.0348376i | ||||
\(124\) | −5.70602 | + | 21.2952i | −0.512416 | + | 1.91236i | ||||
\(125\) | −4.42449 | − | 4.42449i | −0.395738 | − | 0.395738i | ||||
\(126\) | −5.10621 | − | 2.73871i | −0.454897 | − | 0.243984i | ||||
\(127\) | 15.9116i | 1.41192i | 0.708250 | + | 0.705962i | \(0.249485\pi\) | ||||
−0.708250 | + | 0.705962i | \(0.750515\pi\) | |||||||
\(128\) | −12.4075 | − | 3.32459i | −1.09668 | − | 0.293855i | ||||
\(129\) | 0.450713 | − | 0.780657i | 0.0396830 | − | 0.0687331i | ||||
\(130\) | 5.15984 | + | 0.125497i | 0.452548 | + | 0.0110068i | ||||
\(131\) | −12.6166 | + | 7.28421i | −1.10232 | + | 0.636424i | −0.936829 | − | 0.349787i | \(-0.886254\pi\) |
−0.165490 | + | 0.986212i | \(0.552920\pi\) | |||||||
\(132\) | 5.03631 | − | 5.03631i | 0.438354 | − | 0.438354i | ||||
\(133\) | 2.45974 | + | 3.96822i | 0.213287 | + | 0.344088i | ||||
\(134\) | − | 7.95933i | − | 0.687581i | ||||||
\(135\) | −0.169176 | + | 0.631372i | −0.0145603 | + | 0.0543398i | ||||
\(136\) | 2.70022 | + | 10.0774i | 0.231542 | + | 0.864127i | ||||
\(137\) | 0.352195 | + | 1.31441i | 0.0300900 | + | 0.112297i | 0.979338 | − | 0.202233i | \(-0.0648197\pi\) |
−0.949247 | + | 0.314530i | \(0.898153\pi\) | |||||||
\(138\) | −2.98443 | + | 11.1380i | −0.254051 | + | 0.948132i | ||||
\(139\) | − | 10.4193i | − | 0.883752i | −0.897076 | − | 0.441876i | \(-0.854313\pi\) | ||
0.897076 | − | 0.441876i | \(-0.145687\pi\) | |||||||
\(140\) | −0.151319 | − | 4.83345i | −0.0127888 | − | 0.408501i | ||||
\(141\) | 2.39203 | − | 2.39203i | 0.201445 | − | 0.201445i | ||||
\(142\) | −12.0225 | + | 6.94118i | −1.00890 | + | 0.582491i | ||||
\(143\) | 6.64986 | − | 6.33407i | 0.556089 | − | 0.529681i | ||||
\(144\) | 0.886704 | − | 1.53582i | 0.0738920 | − | 0.127985i | ||||
\(145\) | −0.0482264 | − | 0.0129222i | −0.00400498 | − | 0.00107313i | ||||
\(146\) | 33.9199i | 2.80723i | ||||||||
\(147\) | −3.11395 | + | 6.26924i | −0.256834 | + | 0.517078i | ||||
\(148\) | −21.8770 | − | 21.8770i | −1.79828 | − | 1.79828i | ||||
\(149\) | 1.17141 | − | 4.37174i | 0.0959653 | − | 0.358147i | −0.901199 | − | 0.433406i | \(-0.857312\pi\) |
0.997164 | + | 0.0752588i | \(0.0239783\pi\) | |||||||
\(150\) | 9.67326 | − | 2.59194i | 0.789819 | − | 0.211631i | ||||
\(151\) | −1.12463 | − | 4.19719i | −0.0915214 | − | 0.341563i | 0.904948 | − | 0.425523i | \(-0.139910\pi\) |
−0.996469 | + | 0.0839602i | \(0.973243\pi\) | |||||||
\(152\) | 2.66498 | − | 1.53863i | 0.216158 | − | 0.124799i | ||||
\(153\) | −5.98260 | −0.483665 | ||||||||
\(154\) | −10.7574 | − | 10.1043i | −0.866859 | − | 0.814230i | ||||
\(155\) | − | 5.15347i | − | 0.413936i | ||||||
\(156\) | −5.25186 | + | 8.60620i | −0.420485 | + | 0.689048i | ||||
\(157\) | −4.21329 | − | 2.43255i | −0.336257 | − | 0.194138i | 0.322358 | − | 0.946618i | \(-0.395524\pi\) |
−0.658616 | + | 0.752479i | \(0.728858\pi\) | |||||||
\(158\) | −23.7018 | + | 6.35089i | −1.88562 | + | 0.505249i | ||||
\(159\) | 1.20563 | − | 0.696069i | 0.0956124 | − | 0.0552019i | ||||
\(160\) | 4.81838 | 0.380926 | ||||||||
\(161\) | 13.5619 | + | 3.18263i | 1.06883 | + | 0.250826i | ||||
\(162\) | −1.54859 | − | 1.54859i | −0.121669 | − | 0.121669i | ||||
\(163\) | −0.288424 | − | 0.0772829i | −0.0225911 | − | 0.00605326i | 0.247506 | − | 0.968886i | \(-0.420389\pi\) |
−0.270097 | + | 0.962833i | \(0.587056\pi\) | |||||||
\(164\) | 4.03206 | − | 1.08039i | 0.314851 | − | 0.0843642i | ||||
\(165\) | −0.832452 | + | 1.44185i | −0.0648063 | + | 0.112248i | ||||
\(166\) | 9.60781 | + | 16.6412i | 0.745711 | + | 1.29161i | ||||
\(167\) | −7.94164 | − | 7.94164i | −0.614543 | − | 0.614543i | 0.329584 | − | 0.944126i | \(-0.393092\pi\) |
−0.944126 | + | 0.329584i | \(0.893092\pi\) | |||||||
\(168\) | 4.06593 | + | 2.18076i | 0.313693 | + | 0.168249i | ||||
\(169\) | −7.03964 | + | 10.9290i | −0.541511 | + | 0.840694i | ||||
\(170\) | −4.28207 | − | 7.41676i | −0.328420 | − | 0.568839i | ||||
\(171\) | 0.456716 | + | 1.70449i | 0.0349259 | + | 0.130345i | ||||
\(172\) | −1.26032 | + | 2.18293i | −0.0960981 | + | 0.166447i | ||||
\(173\) | −4.93150 | − | 8.54161i | −0.374935 | − | 0.649407i | 0.615382 | − | 0.788229i | \(-0.289002\pi\) |
−0.990317 | + | 0.138822i | \(0.955668\pi\) | |||||||
\(174\) | 0.118287 | − | 0.118287i | 0.00896730 | − | 0.00896730i | ||||
\(175\) | −3.49542 | − | 11.5824i | −0.264229 | − | 0.875548i | ||||
\(176\) | 3.19405 | − | 3.19405i | 0.240761 | − | 0.240761i | ||||
\(177\) | −5.09918 | − | 1.36632i | −0.383278 | − | 0.102699i | ||||
\(178\) | 17.5232 | + | 10.1170i | 1.31342 | + | 0.758305i | ||||
\(179\) | −20.7836 | − | 11.9994i | −1.55344 | − | 0.896880i | −0.997858 | − | 0.0654199i | \(-0.979161\pi\) |
−0.555584 | − | 0.831460i | \(-0.687505\pi\) | |||||||
\(180\) | 0.473061 | − | 1.76549i | 0.0352599 | − | 0.131592i | ||||
\(181\) | 6.83963 | 0.508386 | 0.254193 | − | 0.967154i | \(-0.418190\pi\) | ||||
0.254193 | + | 0.967154i | \(0.418190\pi\) | |||||||
\(182\) | 18.1652 | + | 10.3193i | 1.34649 | + | 0.764917i | ||||
\(183\) | 3.05839 | 0.226082 | ||||||||
\(184\) | 2.37641 | − | 8.86889i | 0.175192 | − | 0.653824i | ||||
\(185\) | 6.26319 | + | 3.61605i | 0.460479 | + | 0.265858i | ||||
\(186\) | 14.9534 | + | 8.63336i | 1.09644 | + | 0.633029i | ||||
\(187\) | −14.7191 | − | 3.94398i | −1.07637 | − | 0.288412i | ||||
\(188\) | −6.68877 | + | 6.68877i | −0.487829 | + | 0.487829i | ||||
\(189\) | −1.81137 | + | 1.92845i | −0.131758 | + | 0.140274i | ||||
\(190\) | −1.78619 | + | 1.78619i | −0.129584 | + | 0.129584i | ||||
\(191\) | 1.45631 | + | 2.52239i | 0.105375 | + | 0.182514i | 0.913891 | − | 0.405959i | \(-0.133063\pi\) |
−0.808517 | + | 0.588473i | \(0.799729\pi\) | |||||||
\(192\) | −6.29860 | + | 10.9095i | −0.454562 | + | 0.787325i | ||||
\(193\) | 1.70763 | + | 6.37298i | 0.122918 | + | 0.458737i | 0.999757 | − | 0.0220476i | \(-0.00701854\pi\) |
−0.876839 | + | 0.480785i | \(0.840352\pi\) | |||||||
\(194\) | 10.6763 | + | 18.4919i | 0.766515 | + | 1.32764i | ||||
\(195\) | 0.665142 | − | 2.26094i | 0.0476318 | − | 0.161909i | ||||
\(196\) | 8.70744 | − | 17.5305i | 0.621960 | − | 1.25218i | ||||
\(197\) | 16.8890 | + | 16.8890i | 1.20329 | + | 1.20329i | 0.973160 | + | 0.230132i | \(0.0739156\pi\) |
0.230132 | + | 0.973160i | \(0.426084\pi\) | |||||||
\(198\) | −2.78914 | − | 4.83093i | −0.198215 | − | 0.343319i | ||||
\(199\) | −0.402906 | + | 0.697854i | −0.0285612 | + | 0.0494695i | −0.879953 | − | 0.475061i | \(-0.842426\pi\) |
0.851391 | + | 0.524531i | \(0.175759\pi\) | |||||||
\(200\) | −7.70254 | + | 2.06389i | −0.544652 | + | 0.145939i | ||||
\(201\) | −3.51049 | − | 0.940634i | −0.247611 | − | 0.0663472i | ||||
\(202\) | −9.52288 | − | 9.52288i | −0.670028 | − | 0.670028i | ||||
\(203\) | −0.147302 | − | 0.138359i | −0.0103386 | − | 0.00971089i | ||||
\(204\) | 16.7290 | 1.17126 | ||||||||
\(205\) | −0.845038 | + | 0.487883i | −0.0590200 | + | 0.0340752i | ||||
\(206\) | 34.2855 | − | 9.18678i | 2.38879 | − | 0.640073i | ||||
\(207\) | 4.55977 | + | 2.63259i | 0.316926 | + | 0.182977i | ||||
\(208\) | −3.33076 | + | 5.45809i | −0.230946 | + | 0.378451i | ||||
\(209\) | 4.49467i | 0.310903i | ||||||||
\(210\) | −3.68724 | − | 0.865299i | −0.254444 | − | 0.0597113i | ||||
\(211\) | 17.5503 | 1.20821 | 0.604106 | − | 0.796904i | \(-0.293531\pi\) | ||||
0.604106 | + | 0.796904i | \(0.293531\pi\) | |||||||
\(212\) | −3.37126 | + | 1.94640i | −0.231539 | + | 0.133679i | ||||
\(213\) | 1.64062 | + | 6.12287i | 0.112413 | + | 0.419532i | ||||
\(214\) | 37.0653 | − | 9.93161i | 2.53373 | − | 0.678911i | ||||
\(215\) | 0.152499 | − | 0.569135i | 0.0104004 | − | 0.0388147i | ||||
\(216\) | 1.23310 | + | 1.23310i | 0.0839018 | + | 0.0839018i | ||||
\(217\) | 9.85944 | − | 18.3825i | 0.669303 | − | 1.24789i | ||||
\(218\) | − | 32.6619i | − | 2.21214i | ||||||
\(219\) | 14.9605 | + | 4.00866i | 1.01094 | + | 0.270880i | ||||
\(220\) | 2.32776 | − | 4.03180i | 0.156938 | − | 0.271824i | ||||
\(221\) | 21.5642 | + | 0.524483i | 1.45057 | + | 0.0352805i | ||||
\(222\) | −20.9849 | + | 12.1156i | −1.40841 | + | 0.813147i | ||||
\(223\) | −2.56243 | + | 2.56243i | −0.171593 | + | 0.171593i | −0.787679 | − | 0.616086i | \(-0.788717\pi\) |
0.616086 | + | 0.787679i | \(0.288717\pi\) | |||||||
\(224\) | 17.1873 | + | 9.21837i | 1.14837 | + | 0.615928i | ||||
\(225\) | − | 4.57275i | − | 0.304850i | ||||||
\(226\) | 0.535223 | − | 1.99748i | 0.0356025 | − | 0.132870i | ||||
\(227\) | −3.36001 | − | 12.5397i | −0.223011 | − | 0.832290i | −0.983191 | − | 0.182577i | \(-0.941556\pi\) |
0.760180 | − | 0.649712i | \(-0.225111\pi\) | |||||||
\(228\) | −1.27710 | − | 4.76621i | −0.0845781 | − | 0.315650i | ||||
\(229\) | −3.00815 | + | 11.2266i | −0.198784 | + | 0.741872i | 0.792471 | + | 0.609910i | \(0.208794\pi\) |
−0.991255 | + | 0.131962i | \(0.957872\pi\) | |||||||
\(230\) | 7.53713i | 0.496984i | ||||||||
\(231\) | −5.72787 | + | 3.55048i | −0.376866 | + | 0.233605i | ||||
\(232\) | −0.0941884 | + | 0.0941884i | −0.00618377 | + | 0.00618377i | ||||
\(233\) | −22.4370 | + | 12.9540i | −1.46990 | + | 0.848645i | −0.999430 | − | 0.0337727i | \(-0.989248\pi\) |
−0.470467 | + | 0.882418i | \(0.655914\pi\) | |||||||
\(234\) | 5.44611 | + | 5.71764i | 0.356024 | + | 0.373774i | ||||
\(235\) | 1.10559 | − | 1.91493i | 0.0721206 | − | 0.124917i | ||||
\(236\) | 14.2587 | + | 3.82060i | 0.928162 | + | 0.248700i | ||||
\(237\) | 11.2043i | 0.727800i | ||||||||
\(238\) | −1.08471 | − | 34.6480i | −0.0703113 | − | 2.24590i | ||||
\(239\) | −10.8915 | − | 10.8915i | −0.704511 | − | 0.704511i | 0.260864 | − | 0.965375i | \(-0.415992\pi\) |
−0.965375 | + | 0.260864i | \(0.915992\pi\) | |||||||
\(240\) | 0.300017 | − | 1.11968i | 0.0193660 | − | 0.0722751i | ||||
\(241\) | −11.2755 | + | 3.02126i | −0.726318 | + | 0.194616i | −0.602989 | − | 0.797749i | \(-0.706024\pi\) |
−0.123329 | + | 0.992366i | \(0.539357\pi\) | |||||||
\(242\) | 2.55764 | + | 9.54523i | 0.164411 | + | 0.613591i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | −8.55208 | −0.547491 | ||||||||
\(245\) | −0.905456 | + | 4.48502i | −0.0578474 | + | 0.286538i | ||||
\(246\) | − | 3.26931i | − | 0.208444i | ||||||
\(247\) | −1.49680 | − | 6.18384i | −0.0952389 | − | 0.393468i | ||||
\(248\) | −11.9070 | − | 6.87450i | −0.756094 | − | 0.436531i | ||||
\(249\) | 8.47513 | − | 2.27090i | 0.537090 | − | 0.143913i | ||||
\(250\) | 11.8675 | − | 6.85173i | 0.750569 | − | 0.433341i | ||||
\(251\) | −3.55707 | −0.224520 | −0.112260 | − | 0.993679i | \(-0.535809\pi\) | ||||
−0.112260 | + | 0.993679i | \(0.535809\pi\) | |||||||
\(252\) | 5.06509 | − | 5.39248i | 0.319071 | − | 0.339694i | ||||
\(253\) | 9.48300 | + | 9.48300i | 0.596191 | + | 0.596191i | ||||
\(254\) | −33.6596 | − | 9.01906i | −2.11199 | − | 0.565906i | ||||
\(255\) | −3.77725 | + | 1.01211i | −0.236540 | + | 0.0633808i | ||||
\(256\) | 1.46858 | − | 2.54365i | 0.0917861 | − | 0.158978i | ||||
\(257\) | 7.55184 | + | 13.0802i | 0.471071 | + | 0.815918i | 0.999452 | − | 0.0330886i | \(-0.0105343\pi\) |
−0.528382 | + | 0.849007i | \(0.677201\pi\) | |||||||
\(258\) | 1.39594 | + | 1.39594i | 0.0869074 | + | 0.0869074i | ||||
\(259\) | 15.4228 | + | 24.8811i | 0.958325 | + | 1.54603i | ||||
\(260\) | −1.85992 | + | 6.32220i | −0.115347 | + | 0.392086i | ||||
\(261\) | −0.0381918 | − | 0.0661501i | −0.00236401 | − | 0.00409459i | ||||
\(262\) | −8.25772 | − | 30.8182i | −0.510164 | − | 1.90396i | ||||
\(263\) | −11.0113 | + | 19.0721i | −0.678984 | + | 1.17604i | 0.296303 | + | 0.955094i | \(0.404246\pi\) |
−0.975287 | + | 0.220941i | \(0.929087\pi\) | |||||||
\(264\) | 2.22091 | + | 3.84673i | 0.136688 | + | 0.236750i | ||||
\(265\) | 0.643441 | − | 0.643441i | 0.0395263 | − | 0.0395263i | ||||
\(266\) | −9.78866 | + | 2.95409i | −0.600181 | + | 0.181127i | ||||
\(267\) | 6.53306 | − | 6.53306i | 0.399817 | − | 0.399817i | ||||
\(268\) | 9.81630 | + | 2.63027i | 0.599626 | + | 0.160669i | ||||
\(269\) | −26.0922 | − | 15.0643i | −1.59087 | − | 0.918488i | −0.993158 | − | 0.116775i | \(-0.962744\pi\) |
−0.597709 | − | 0.801713i | \(-0.703922\pi\) | |||||||
\(270\) | −1.23972 | − | 0.715753i | −0.0754470 | − | 0.0435593i | ||||
\(271\) | −6.94335 | + | 25.9129i | −0.421779 | + | 1.57410i | 0.349080 | + | 0.937093i | \(0.386494\pi\) |
−0.770858 | + | 0.637007i | \(0.780172\pi\) | |||||||
\(272\) | 10.6096 | 0.643302 | ||||||||
\(273\) | 6.69813 | − | 6.79228i | 0.405389 | − | 0.411088i | ||||
\(274\) | −2.98015 | −0.180038 | ||||||||
\(275\) | 3.01454 | − | 11.2504i | 0.181784 | − | 0.678426i | ||||
\(276\) | −12.7504 | − | 7.36143i | −0.767482 | − | 0.443106i | ||||
\(277\) | 2.12102 | + | 1.22457i | 0.127440 | + | 0.0735775i | 0.562365 | − | 0.826889i | \(-0.309892\pi\) |
−0.434925 | + | 0.900467i | \(0.643225\pi\) | |||||||
\(278\) | 22.0411 | + | 5.90590i | 1.32194 | + | 0.354212i | ||||
\(279\) | 5.57498 | − | 5.57498i | 0.333765 | − | 0.333765i | ||||
\(280\) | 2.93604 | + | 0.689013i | 0.175462 | + | 0.0411764i | ||||
\(281\) | −20.1404 | + | 20.1404i | −1.20147 | + | 1.20147i | −0.227754 | + | 0.973719i | \(0.573138\pi\) |
−0.973719 | + | 0.227754i | \(0.926862\pi\) | |||||||
\(282\) | 3.70428 | + | 6.41600i | 0.220587 | + | 0.382067i | ||||
\(283\) | −3.04663 | + | 5.27692i | −0.181103 | + | 0.313680i | −0.942257 | − | 0.334892i | \(-0.891300\pi\) |
0.761153 | + | 0.648572i | \(0.224634\pi\) | |||||||
\(284\) | −4.58761 | − | 17.1212i | −0.272225 | − | 1.01596i | ||||
\(285\) | 0.576715 | + | 0.998900i | 0.0341617 | + | 0.0591697i | ||||
\(286\) | 9.62988 | + | 17.6575i | 0.569427 | + | 1.04411i | ||||
\(287\) | −3.94767 | + | 0.123588i | −0.233024 | + | 0.00729516i | ||||
\(288\) | 5.21248 | + | 5.21248i | 0.307149 | + | 0.307149i | ||||
\(289\) | −9.39577 | − | 16.2739i | −0.552692 | − | 0.957291i | ||||
\(290\) | 0.0546717 | − | 0.0946942i | 0.00321043 | − | 0.00556064i | ||||
\(291\) | 9.41767 | − | 2.52346i | 0.552074 | − | 0.147928i | ||||
\(292\) | −41.8337 | − | 11.2093i | −2.44813 | − | 0.655975i | ||||
\(293\) | 6.26592 | + | 6.26592i | 0.366059 | + | 0.366059i | 0.866038 | − | 0.499979i | \(-0.166659\pi\) |
−0.499979 | + | 0.866038i | \(0.666659\pi\) | |||||||
\(294\) | −11.4970 | − | 10.1408i | −0.670518 | − | 0.591426i | ||||
\(295\) | −3.45063 | −0.200903 | ||||||||
\(296\) | 16.7096 | − | 9.64732i | 0.971228 | − | 0.560739i | ||||
\(297\) | −2.46032 | + | 0.659241i | −0.142762 | + | 0.0382530i | ||||
\(298\) | 8.58407 | + | 4.95602i | 0.497262 | + | 0.287094i | ||||
\(299\) | −16.2048 | − | 9.88887i | −0.937150 | − | 0.571888i | ||||
\(300\) | 12.7866i | 0.738237i | ||||||||
\(301\) | 1.63282 | − | 1.73836i | 0.0941140 | − | 0.100197i | ||||
\(302\) | 9.51627 | 0.547600 | ||||||||
\(303\) | −5.32552 | + | 3.07469i | −0.305943 | + | 0.176636i | ||||
\(304\) | −0.809944 | − | 3.02275i | −0.0464535 | − | 0.173367i | ||||
\(305\) | 1.93098 | − | 0.517404i | 0.110568 | − | 0.0296265i | ||||
\(306\) | 3.39108 | − | 12.6557i | 0.193855 | − | 0.723478i | ||||
\(307\) | −20.3624 | − | 20.3624i | −1.16214 | − | 1.16214i | −0.984006 | − | 0.178135i | \(-0.942994\pi\) |
−0.178135 | − | 0.984006i | \(-0.557006\pi\) | |||||||
\(308\) | 16.0167 | − | 9.92811i | 0.912635 | − | 0.565707i | ||||
\(309\) | − | 16.2075i | − | 0.922011i | ||||||
\(310\) | 10.9017 | + | 2.92111i | 0.619176 | + | 0.165908i | ||||
\(311\) | −1.47429 | + | 2.55354i | −0.0835991 | + | 0.144798i | −0.904793 | − | 0.425851i | \(-0.859975\pi\) |
0.821194 | + | 0.570649i | \(0.193308\pi\) | |||||||
\(312\) | −4.33658 | − | 4.55279i | −0.245511 | − | 0.257751i | ||||
\(313\) | 10.7571 | − | 6.21061i | 0.608027 | − | 0.351044i | −0.164166 | − | 0.986433i | \(-0.552493\pi\) |
0.772193 | + | 0.635388i | \(0.219160\pi\) | |||||||
\(314\) | 7.53404 | − | 7.53404i | 0.425170 | − | 0.425170i | ||||
\(315\) | −0.817402 | + | 1.52401i | −0.0460554 | + | 0.0858683i | ||||
\(316\) | − | 31.3304i | − | 1.76247i | ||||||
\(317\) | 3.95195 | − | 14.7489i | 0.221964 | − | 0.828379i | −0.761635 | − | 0.648007i | \(-0.775603\pi\) |
0.983598 | − | 0.180373i | \(-0.0577304\pi\) | |||||||
\(318\) | 0.789097 | + | 2.94495i | 0.0442504 | + | 0.165145i | ||||
\(319\) | −0.0503551 | − | 0.187928i | −0.00281935 | − | 0.0105219i | ||||
\(320\) | −2.13114 | + | 7.95352i | −0.119134 | + | 0.444615i | ||||
\(321\) | − | 17.5215i | − | 0.977956i | ||||||
\(322\) | −14.4198 | + | 26.8851i | −0.803583 | + | 1.49825i | ||||
\(323\) | −7.46492 | + | 7.46492i | −0.415359 | + | 0.415359i | ||||
\(324\) | 2.42164 | − | 1.39814i | 0.134536 | − | 0.0776742i | ||||
\(325\) | −0.400884 | + | 16.4824i | −0.0222370 | + | 0.914279i | ||||
\(326\) | 0.326971 | − | 0.566330i | 0.0181092 | − | 0.0313661i | ||||
\(327\) | −14.4056 | − | 3.85998i | −0.796634 | − | 0.213457i | ||||
\(328\) | 2.60326i | 0.143741i | ||||||||
\(329\) | 7.60724 | − | 4.71543i | 0.419401 | − | 0.259970i | ||||
\(330\) | −2.57826 | − | 2.57826i | −0.141928 | − | 0.141928i | ||||
\(331\) | −4.04016 | + | 15.0781i | −0.222067 | + | 0.828766i | 0.761491 | + | 0.648175i | \(0.224468\pi\) |
−0.983558 | + | 0.180591i | \(0.942199\pi\) | |||||||
\(332\) | −23.6988 | + | 6.35006i | −1.30064 | + | 0.348505i | ||||
\(333\) | 2.86365 | + | 10.6873i | 0.156927 | + | 0.585659i | ||||
\(334\) | 21.3014 | − | 12.2984i | 1.16556 | − | 0.672936i | ||||
\(335\) | −2.37556 | −0.129791 | ||||||||
\(336\) | 3.21230 | − | 3.41994i | 0.175246 | − | 0.186573i | ||||
\(337\) | 1.81266i | 0.0987418i | 0.998781 | + | 0.0493709i | \(0.0157216\pi\) | ||||
−0.998781 | + | 0.0493709i | \(0.984278\pi\) | |||||||
\(338\) | −19.1292 | − | 21.0866i | −1.04049 | − | 1.14696i | ||||
\(339\) | −0.817745 | − | 0.472125i | −0.0444138 | − | 0.0256423i | ||||
\(340\) | 10.5622 | − | 2.83013i | 0.572816 | − | 0.153486i | ||||
\(341\) | 17.3915 | − | 10.0410i | 0.941802 | − | 0.543749i | ||||
\(342\) | −3.86458 | −0.208972 | ||||||||
\(343\) | −11.8104 | + | 14.2659i | −0.637700 | + | 0.770284i | ||||
\(344\) | −1.11155 | − | 1.11155i | −0.0599306 | − | 0.0599306i | ||||
\(345\) | 3.32428 | + | 0.890739i | 0.178973 | + | 0.0479558i | ||||
\(346\) | 20.8644 | − | 5.59059i | 1.12167 | − | 0.300552i | ||||
\(347\) | 18.4617 | − | 31.9767i | 0.991078 | − | 1.71660i | 0.380110 | − | 0.924941i | \(-0.375886\pi\) |
0.610968 | − | 0.791656i | \(-0.290781\pi\) | |||||||
\(348\) | 0.106795 | + | 0.184974i | 0.00572479 | + | 0.00991562i | ||||
\(349\) | 19.8750 | + | 19.8750i | 1.06388 | + | 1.06388i | 0.997815 | + | 0.0660671i | \(0.0210451\pi\) |
0.0660671 | + | 0.997815i | \(0.478955\pi\) | |||||||
\(350\) | 26.4829 | − | 0.829088i | 1.41557 | − | 0.0443166i | ||||
\(351\) | 3.16541 | − | 1.72632i | 0.168957 | − | 0.0921441i | ||||
\(352\) | 9.38810 | + | 16.2607i | 0.500387 | + | 0.866696i | ||||
\(353\) | 6.70223 | + | 25.0131i | 0.356724 | + | 1.33131i | 0.878301 | + | 0.478107i | \(0.158677\pi\) |
−0.521578 | + | 0.853204i | \(0.674656\pi\) | |||||||
\(354\) | 5.78067 | − | 10.0124i | 0.307239 | − | 0.532154i | ||||
\(355\) | 2.07168 | + | 3.58826i | 0.109953 | + | 0.190445i | ||||
\(356\) | −18.2682 | + | 18.2682i | −0.968214 | + | 0.968214i | ||||
\(357\) | −15.4098 | − | 3.61629i | −0.815575 | − | 0.191394i | ||||
\(358\) | 37.1645 | − | 37.1645i | 1.96420 | − | 1.96420i | ||||
\(359\) | 30.6453 | + | 8.21137i | 1.61739 | + | 0.433380i | 0.950235 | − | 0.311535i | \(-0.100843\pi\) |
0.667160 | + | 0.744914i | \(0.267510\pi\) | |||||||
\(360\) | 0.987154 | + | 0.569934i | 0.0520276 | + | 0.0300381i | ||||
\(361\) | −13.7578 | − | 7.94307i | −0.724095 | − | 0.418056i | ||||
\(362\) | −3.87686 | + | 14.4687i | −0.203763 | + | 0.760456i | ||||
\(363\) | 4.51222 | 0.236830 | ||||||||
\(364\) | −18.7298 | + | 18.9931i | −0.981707 | + | 0.995507i | ||||
\(365\) | 10.1238 | 0.529905 | ||||||||
\(366\) | −1.73357 | + | 6.46976i | −0.0906150 | + | 0.338180i | ||||
\(367\) | −22.8752 | − | 13.2070i | −1.19408 | − | 0.689400i | −0.234848 | − | 0.972032i | \(-0.575459\pi\) |
−0.959229 | + | 0.282632i | \(0.908793\pi\) | |||||||
\(368\) | −8.08634 | − | 4.66865i | −0.421530 | − | 0.243370i | ||||
\(369\) | −1.44194 | − | 0.386368i | −0.0750646 | − | 0.0201135i | ||||
\(370\) | −11.1996 | + | 11.1996i | −0.582238 | + | 0.582238i | ||||
\(371\) | 3.52617 | − | 1.06415i | 0.183070 | − | 0.0552482i | ||||
\(372\) | −15.5891 | + | 15.5891i | −0.808260 | + | 0.808260i | ||||
\(373\) | 1.37665 | + | 2.38442i | 0.0712801 | + | 0.123461i | 0.899463 | − | 0.436998i | \(-0.143958\pi\) |
−0.828182 | + | 0.560459i | \(0.810625\pi\) | |||||||
\(374\) | 16.6863 | − | 28.9015i | 0.862828 | − | 1.49446i | ||||
\(375\) | −1.61948 | − | 6.04396i | −0.0836293 | − | 0.312109i | ||||
\(376\) | −2.94961 | − | 5.10888i | −0.152115 | − | 0.263470i | ||||
\(377\) | 0.131862 | + | 0.241785i | 0.00679126 | + | 0.0124526i | ||||
\(378\) | −3.05275 | − | 4.92490i | −0.157017 | − | 0.253309i | ||||
\(379\) | 5.33831 | + | 5.33831i | 0.274211 | + | 0.274211i | 0.830793 | − | 0.556582i | \(-0.187887\pi\) |
−0.556582 | + | 0.830793i | \(0.687887\pi\) | |||||||
\(380\) | −1.61265 | − | 2.79319i | −0.0827273 | − | 0.143288i | ||||
\(381\) | −7.95578 | + | 13.7798i | −0.407587 | + | 0.705962i | ||||
\(382\) | −6.16138 | + | 1.65094i | −0.315244 | + | 0.0844693i | ||||
\(383\) | −25.5546 | − | 6.84734i | −1.30578 | − | 0.349883i | −0.462147 | − | 0.886803i | \(-0.652921\pi\) |
−0.843633 | + | 0.536921i | \(0.819587\pi\) | |||||||
\(384\) | −9.08295 | − | 9.08295i | −0.463512 | − | 0.463512i | ||||
\(385\) | −3.01576 | + | 3.21069i | −0.153697 | + | 0.163632i | ||||
\(386\) | −14.4494 | −0.735456 | ||||||||
\(387\) | 0.780657 | − | 0.450713i | 0.0396830 | − | 0.0229110i | ||||
\(388\) | −26.3344 | + | 7.05627i | −1.33693 | + | 0.358228i | ||||
\(389\) | −5.09402 | − | 2.94103i | −0.258277 | − | 0.149116i | 0.365271 | − | 0.930901i | \(-0.380976\pi\) |
−0.623548 | + | 0.781785i | \(0.714310\pi\) | |||||||
\(390\) | 4.40581 | + | 2.68861i | 0.223097 | + | 0.136143i | ||||
\(391\) | 31.4994i | 1.59300i | ||||||||
\(392\) | 9.15472 | + | 8.07486i | 0.462383 | + | 0.407842i | ||||
\(393\) | −14.5684 | −0.734879 | ||||||||
\(394\) | −45.3003 | + | 26.1542i | −2.28220 | + | 1.31763i | ||||
\(395\) | 1.89550 | + | 7.07410i | 0.0953730 | + | 0.355937i | ||||
\(396\) | 6.87972 | − | 1.84342i | 0.345719 | − | 0.0926352i | ||||
\(397\) | 2.19733 | − | 8.20055i | 0.110281 | − | 0.411574i | −0.888610 | − | 0.458664i | \(-0.848328\pi\) |
0.998891 | + | 0.0470903i | \(0.0149948\pi\) | |||||||
\(398\) | −1.24787 | − | 1.24787i | −0.0625502 | − | 0.0625502i | ||||
\(399\) | 0.146090 | + | 4.66645i | 0.00731366 | + | 0.233614i | ||||
\(400\) | 8.10935i | 0.405468i | ||||||||
\(401\) | 37.8352 | + | 10.1379i | 1.88940 | + | 0.506263i | 0.998660 | + | 0.0517442i | \(0.0164780\pi\) |
0.890737 | + | 0.454518i | \(0.150189\pi\) | |||||||
\(402\) | 3.97966 | − | 6.89298i | 0.198488 | − | 0.343791i | ||||
\(403\) | −20.5837 | + | 19.6062i | −1.02535 | + | 0.976653i | ||||
\(404\) | 14.8916 | − | 8.59767i | 0.740885 | − | 0.427750i | ||||
\(405\) | −0.462196 | + | 0.462196i | −0.0229667 | + | 0.0229667i | ||||
\(406\) | 0.376181 | − | 0.233180i | 0.0186695 | − | 0.0115725i | ||||
\(407\) | 28.1820i | 1.39693i | ||||||||
\(408\) | −2.70022 | + | 10.0774i | −0.133681 | + | 0.498904i | ||||
\(409\) | 0.495968 | + | 1.85098i | 0.0245240 | + | 0.0915249i | 0.977103 | − | 0.212766i | \(-0.0682472\pi\) |
−0.952579 | + | 0.304291i | \(0.901581\pi\) | |||||||
\(410\) | −0.553088 | − | 2.06415i | −0.0273150 | − | 0.101941i | ||||
\(411\) | −0.352195 | + | 1.31441i | −0.0173725 | + | 0.0648350i | ||||
\(412\) | 45.3205i | 2.23278i | ||||||||
\(413\) | −12.3084 | − | 6.60163i | −0.605659 | − | 0.324845i | ||||
\(414\) | −8.15360 | + | 8.15360i | −0.400728 | + | 0.400728i | ||||
\(415\) | 4.96678 | − | 2.86757i | 0.243809 | − | 0.140763i | ||||
\(416\) | −18.3314 | − | 19.2453i | −0.898769 | − | 0.943578i | ||||
\(417\) | 5.20964 | − | 9.02337i | 0.255117 | − | 0.441876i | ||||
\(418\) | −9.50809 | − | 2.54769i | −0.465056 | − | 0.124611i | ||||
\(419\) | − | 6.41207i | − | 0.313250i | −0.987658 | − | 0.156625i | \(-0.949939\pi\) | ||
0.987658 | − | 0.156625i | \(-0.0500614\pi\) | |||||||
\(420\) | 2.28568 | − | 4.26155i | 0.111530 | − | 0.207942i | ||||
\(421\) | −5.78368 | − | 5.78368i | −0.281879 | − | 0.281879i | 0.551979 | − | 0.833858i | \(-0.313873\pi\) |
−0.833858 | + | 0.551979i | \(0.813873\pi\) | |||||||
\(422\) | −9.94792 | + | 37.1261i | −0.484257 | + | 1.80727i | ||||
\(423\) | 3.26758 | − | 0.875544i | 0.158875 | − | 0.0425704i | ||||
\(424\) | −0.628335 | − | 2.34498i | −0.0305147 | − | 0.113882i | ||||
\(425\) | 23.6918 | − | 13.6785i | 1.14922 | − | 0.663503i | ||||
\(426\) | −13.8824 | −0.672603 | ||||||||
\(427\) | 7.87772 | + | 1.84870i | 0.381229 | + | 0.0894647i | ||||
\(428\) | 48.9949i | 2.36826i | ||||||||
\(429\) | 8.92598 | − | 2.16053i | 0.430951 | − | 0.104311i | ||||
\(430\) | 1.11752 | + | 0.645198i | 0.0538914 | + | 0.0311142i | ||||
\(431\) | 9.40305 | − | 2.51954i | 0.452929 | − | 0.121362i | −0.0251405 | − | 0.999684i | \(-0.508003\pi\) |
0.478070 | + | 0.878322i | \(0.341337\pi\) | |||||||
\(432\) | 1.53582 | − | 0.886704i | 0.0738920 | − | 0.0426616i | ||||
\(433\) | −13.1342 | −0.631190 | −0.315595 | − | 0.948894i | \(-0.602204\pi\) | ||||
−0.315595 | + | 0.948894i | \(0.602204\pi\) | |||||||
\(434\) | 33.2981 | + | 31.2765i | 1.59836 | + | 1.50132i | ||||
\(435\) | −0.0353042 | − | 0.0353042i | −0.00169271 | − | 0.00169271i | ||||
\(436\) | 40.2821 | + | 10.7936i | 1.92916 | + | 0.516918i | ||||
\(437\) | 8.97442 | − | 2.40469i | 0.429305 | − | 0.115032i | ||||
\(438\) | −16.9600 | + | 29.3755i | −0.810378 | + | 1.40362i | ||||
\(439\) | −3.44914 | − | 5.97409i | −0.164619 | − | 0.285128i | 0.771901 | − | 0.635743i | \(-0.219306\pi\) |
−0.936520 | + | 0.350615i | \(0.885973\pi\) | |||||||
\(440\) | 2.05299 | + | 2.05299i | 0.0978726 | + | 0.0978726i | ||||
\(441\) | −5.83138 | + | 3.87235i | −0.277685 | + | 0.184397i | ||||
\(442\) | −13.3326 | + | 45.3200i | −0.634167 | + | 2.15565i | ||||
\(443\) | −11.6463 | − | 20.1720i | −0.553332 | − | 0.958400i | −0.998031 | − | 0.0627195i | \(-0.980023\pi\) |
0.444699 | − | 0.895680i | \(-0.353311\pi\) | |||||||
\(444\) | −8.00754 | − | 29.8845i | −0.380021 | − | 1.41826i | ||||
\(445\) | 3.01956 | − | 5.23003i | 0.143141 | − | 0.247927i | ||||
\(446\) | −3.96816 | − | 6.87306i | −0.187898 | − | 0.325449i | ||||
\(447\) | 3.20034 | − | 3.20034i | 0.151371 | − | 0.151371i | ||||
\(448\) | −22.8182 | + | 24.2931i | −1.07806 | + | 1.14774i | ||||
\(449\) | −10.6650 | + | 10.6650i | −0.503312 | + | 0.503312i | −0.912465 | − | 0.409154i | \(-0.865824\pi\) |
0.409154 | + | 0.912465i | \(0.365824\pi\) | |||||||
\(450\) | 9.67326 | + | 2.59194i | 0.456002 | + | 0.122185i | ||||
\(451\) | −3.29293 | − | 1.90118i | −0.155058 | − | 0.0895229i | ||||
\(452\) | 2.28664 | + | 1.32019i | 0.107554 | + | 0.0620965i | ||||
\(453\) | 1.12463 | − | 4.19719i | 0.0528399 | − | 0.197201i | ||||
\(454\) | 28.4312 | 1.33434 | ||||||||
\(455\) | 3.07992 | − | 5.42161i | 0.144389 | − | 0.254169i | ||||
\(456\) | 3.07725 | 0.144105 | ||||||||
\(457\) | −3.21576 | + | 12.0014i | −0.150427 | + | 0.561401i | 0.849027 | + | 0.528350i | \(0.177189\pi\) |
−0.999454 | + | 0.0330510i | \(0.989478\pi\) | |||||||
\(458\) | −22.0437 | − | 12.7270i | −1.03004 | − | 0.594692i | ||||
\(459\) | −5.18109 | − | 2.99130i | −0.241832 | − | 0.139622i | ||||
\(460\) | −9.29559 | − | 2.49075i | −0.433409 | − | 0.116132i | ||||
\(461\) | −16.0625 | + | 16.0625i | −0.748103 | + | 0.748103i | −0.974123 | − | 0.226019i | \(-0.927429\pi\) |
0.226019 | + | 0.974123i | \(0.427429\pi\) | |||||||
\(462\) | −4.26405 | − | 14.1293i | −0.198382 | − | 0.657356i | ||||
\(463\) | −4.57548 | + | 4.57548i | −0.212641 | + | 0.212641i | −0.805388 | − | 0.592748i | \(-0.798043\pi\) |
0.592748 | + | 0.805388i | \(0.298043\pi\) | |||||||
\(464\) | 0.0677296 | + | 0.117311i | 0.00314427 | + | 0.00544603i | ||||
\(465\) | 2.57673 | − | 4.46303i | 0.119493 | − | 0.206968i | ||||
\(466\) | −14.6853 | − | 54.8062i | −0.680282 | − | 2.53885i | ||||
\(467\) | −15.0139 | − | 26.0049i | −0.694762 | − | 1.20336i | −0.970261 | − | 0.242062i | \(-0.922176\pi\) |
0.275499 | − | 0.961301i | \(-0.411157\pi\) | |||||||
\(468\) | −8.85135 | + | 4.82726i | −0.409154 | + | 0.223140i | ||||
\(469\) | −8.47366 | − | 4.54484i | −0.391277 | − | 0.209861i | ||||
\(470\) | 3.42421 | + | 3.42421i | 0.157947 | + | 0.157947i | ||||
\(471\) | −2.43255 | − | 4.21329i | −0.112086 | − | 0.194138i | ||||
\(472\) | −4.60299 | + | 7.97260i | −0.211870 | + | 0.366969i | ||||
\(473\) | 2.21780 | − | 0.594257i | 0.101974 | − | 0.0273239i | ||||
\(474\) | −23.7018 | − | 6.35089i | −1.08866 | − | 0.291706i | ||||
\(475\) | −5.70574 | − | 5.70574i | −0.261798 | − | 0.261798i | ||||
\(476\) | 43.0901 | + | 10.1121i | 1.97503 | + | 0.463489i | ||||
\(477\) | 1.39214 | 0.0637416 | ||||||||
\(478\) | 29.2135 | − | 16.8665i | 1.33620 | − | 0.771453i | ||||
\(479\) | 36.4814 | − | 9.77517i | 1.66688 | − | 0.446639i | 0.702613 | − | 0.711572i | \(-0.252017\pi\) |
0.964267 | + | 0.264933i | \(0.0853498\pi\) | |||||||
\(480\) | 4.17284 | + | 2.40919i | 0.190463 | + | 0.109964i | ||||
\(481\) | −9.38505 | − | 38.7732i | −0.427921 | − | 1.76791i | ||||
\(482\) | − | 25.5649i | − | 1.16445i | ||||||
\(483\) | 10.1536 | + | 9.53719i | 0.462007 | + | 0.433957i | ||||
\(484\) | −12.6174 | −0.573518 | ||||||||
\(485\) | 5.51915 | − | 3.18648i | 0.250612 | − | 0.144691i | ||||
\(486\) | −0.566824 | − | 2.11542i | −0.0257117 | − | 0.0959572i | ||||
\(487\) | 19.7195 | − | 5.28383i | 0.893577 | − | 0.239433i | 0.217321 | − | 0.976100i | \(-0.430268\pi\) |
0.676256 | + | 0.736667i | \(0.263601\pi\) | |||||||
\(488\) | 1.38039 | − | 5.15168i | 0.0624873 | − | 0.233206i | ||||
\(489\) | −0.211141 | − | 0.211141i | −0.00954812 | − | 0.00954812i | ||||
\(490\) | −8.97445 | − | 4.45763i | −0.405424 | − | 0.201375i | ||||
\(491\) | − | 34.5398i | − | 1.55876i | −0.626552 | − | 0.779380i | \(-0.715534\pi\) | ||
0.626552 | − | 0.779380i | \(-0.284466\pi\) | |||||||
\(492\) | 4.03206 | + | 1.08039i | 0.181780 | + | 0.0487077i | ||||
\(493\) | 0.228486 | − | 0.395750i | 0.0102905 | − | 0.0178237i | ||||
\(494\) | 13.9298 | + | 0.338800i | 0.626732 | + | 0.0152433i | ||||
\(495\) | −1.44185 | + | 0.832452i | −0.0648063 | + | 0.0374159i | ||||
\(496\) | −9.88671 | + | 9.88671i | −0.443927 | + | 0.443927i | ||||
\(497\) | 0.524787 | + | 16.7628i | 0.0235399 | + | 0.751916i | ||||
\(498\) | 19.2156i | 0.861073i | ||||||||
\(499\) | −0.432031 | + | 1.61236i | −0.0193404 | + | 0.0721793i | −0.974922 | − | 0.222549i | \(-0.928562\pi\) |
0.955581 | + | 0.294728i | \(0.0952290\pi\) | |||||||
\(500\) | 4.52849 | + | 16.9006i | 0.202520 | + | 0.755816i | ||||
\(501\) | −2.90684 | − | 10.8485i | −0.129868 | − | 0.484675i | ||||
\(502\) | 2.01623 | − | 7.52469i | 0.0899889 | − | 0.335843i | ||||
\(503\) | − | 28.9670i | − | 1.29157i | −0.763518 | − | 0.645787i | \(-0.776530\pi\) | ||
0.763518 | − | 0.645787i | \(-0.223470\pi\) | |||||||
\(504\) | 2.43082 | + | 3.92156i | 0.108277 | + | 0.174680i | ||||
\(505\) | −2.84222 | + | 2.84222i | −0.126477 | + | 0.126477i | ||||
\(506\) | −25.4357 | + | 14.6853i | −1.13075 | + | 0.652841i | ||||
\(507\) | −11.5610 | + | 5.94499i | −0.513443 | + | 0.264026i | ||||
\(508\) | 22.2465 | − | 38.5321i | 0.987030 | − | 1.70959i | ||||
\(509\) | 22.8308 | + | 6.11751i | 1.01196 | + | 0.271154i | 0.726448 | − | 0.687221i | \(-0.241170\pi\) |
0.285512 | + | 0.958375i | \(0.407836\pi\) | |||||||
\(510\) | − | 8.56413i | − | 0.379226i | ||||||
\(511\) | 36.1118 | + | 19.3686i | 1.59749 | + | 0.856815i | ||||
\(512\) | −13.6174 | − | 13.6174i | −0.601812 | − | 0.601812i | ||||
\(513\) | −0.456716 | + | 1.70449i | −0.0201645 | + | 0.0752549i | ||||
\(514\) | −31.9505 | + | 8.56112i | −1.40928 | + | 0.377615i | ||||
\(515\) | −2.74191 | − | 10.2329i | −0.120823 | − | 0.450917i | ||||
\(516\) | −2.18293 | + | 1.26032i | −0.0960981 | + | 0.0554823i | ||||
\(517\) | 8.61648 | 0.378952 | ||||||||
\(518\) | −61.3758 | + | 18.5224i | −2.69670 | + | 0.813829i | ||||
\(519\) | − | 9.86301i | − | 0.432938i | ||||||
\(520\) | −3.50822 | − | 2.14086i | −0.153846 | − | 0.0938829i | ||||
\(521\) | −8.01013 | − | 4.62465i | −0.350930 | − | 0.202610i | 0.314165 | − | 0.949369i | \(-0.398276\pi\) |
−0.665095 | + | 0.746759i | \(0.731609\pi\) | |||||||
\(522\) | 0.161583 | − | 0.0432960i | 0.00707229 | − | 0.00189501i | ||||
\(523\) | 23.8793 | − | 13.7867i | 1.04417 | − | 0.602852i | 0.123158 | − | 0.992387i | \(-0.460698\pi\) |
0.921011 | + | 0.389536i | \(0.127364\pi\) | |||||||
\(524\) | 40.7372 | 1.77961 | ||||||||
\(525\) | 2.76408 | − | 11.7784i | 0.120634 | − | 0.514050i | ||||
\(526\) | −34.1039 | − | 34.1039i | −1.48700 | − | 1.48700i | ||||
\(527\) | 45.5609 | + | 12.2080i | 1.98466 | + | 0.531789i | ||||
\(528\) | 4.36315 | − | 1.16910i | 0.189882 | − | 0.0508787i | ||||
\(529\) | 2.36103 | − | 4.08942i | 0.102653 | − | 0.177801i | ||||
\(530\) | 0.996427 | + | 1.72586i | 0.0432820 | + | 0.0749667i | ||||
\(531\) | −3.73286 | − | 3.73286i | −0.161992 | − | 0.161992i | ||||
\(532\) | −0.408508 | − | 13.0486i | −0.0177111 | − | 0.565731i | ||||
\(533\) | 5.16359 | + | 1.51907i | 0.223660 | + | 0.0657982i | ||||
\(534\) | 10.1170 | + | 17.5232i | 0.437807 | + | 0.758305i | ||||
\(535\) | −2.96421 | − | 11.0626i | −0.128154 | − | 0.478278i | ||||
\(536\) | −3.16889 | + | 5.48868i | −0.136875 | + | 0.237075i | ||||
\(537\) | −11.9994 | − | 20.7836i | −0.517814 | − | 0.896880i | ||||
\(538\) | 46.6570 | − | 46.6570i | 2.01152 | − | 2.01152i | ||||
\(539\) | −16.8999 | + | 5.68293i | −0.727929 | + | 0.244781i | ||||
\(540\) | 1.29243 | − | 1.29243i | 0.0556172 | − | 0.0556172i | ||||
\(541\) | −8.25664 | − | 2.21236i | −0.354981 | − | 0.0951167i | 0.0769218 | − | 0.997037i | \(-0.475491\pi\) |
−0.431902 | + | 0.901920i | \(0.642157\pi\) | |||||||
\(542\) | −50.8810 | − | 29.3762i | −2.18553 | − | 1.26181i | ||||
\(543\) | 5.92329 | + | 3.41981i | 0.254193 | + | 0.146758i | ||||
\(544\) | −11.4142 | + | 42.5984i | −0.489381 | + | 1.82639i | ||||
\(545\) | −9.74833 | −0.417573 | ||||||||
\(546\) | 10.5718 | + | 18.0193i | 0.452433 | + | 0.771157i | ||||
\(547\) | 40.4129 | 1.72793 | 0.863965 | − | 0.503552i | \(-0.167974\pi\) | ||||
0.863965 | + | 0.503552i | \(0.167974\pi\) | |||||||
\(548\) | 0.984832 | − | 3.67544i | 0.0420699 | − | 0.157007i | ||||
\(549\) | 2.64864 | + | 1.52919i | 0.113041 | + | 0.0652644i | ||||
\(550\) | 22.0906 | + | 12.7540i | 0.941947 | + | 0.543833i | ||||
\(551\) | −0.130195 | − | 0.0348856i | −0.00554648 | − | 0.00148617i | ||||
\(552\) | 6.49248 | − | 6.49248i | 0.276338 | − | 0.276338i | ||||
\(553\) | −6.77266 | + | 28.8599i | −0.288003 | + | 1.22725i | ||||
\(554\) | −3.79273 | + | 3.79273i | −0.161138 | + | 0.161138i | ||||
\(555\) | 3.61605 | + | 6.26319i | 0.153493 | + | 0.265858i | ||||
\(556\) | −14.5676 | + | 25.2318i | −0.617803 | + | 1.07007i | ||||
\(557\) | 4.63910 | + | 17.3133i | 0.196565 | + | 0.733590i | 0.991856 | + | 0.127362i | \(0.0406512\pi\) |
−0.795291 | + | 0.606227i | \(0.792682\pi\) | |||||||
\(558\) | 8.63336 | + | 14.9534i | 0.365479 | + | 0.633029i | ||||
\(559\) | −2.85338 | + | 1.55615i | −0.120685 | + | 0.0658181i | ||||
\(560\) | 1.44959 | − | 2.70269i | 0.0612563 | − | 0.114210i | ||||
\(561\) | −10.7751 | − | 10.7751i | −0.454927 | − | 0.454927i | ||||
\(562\) | −31.1892 | − | 54.0213i | −1.31564 | − | 2.27875i | ||||
\(563\) | −3.28323 | + | 5.68672i | −0.138372 | + | 0.239667i | −0.926880 | − | 0.375357i | \(-0.877520\pi\) |
0.788509 | + | 0.615024i | \(0.210854\pi\) | |||||||
\(564\) | −9.13703 | + | 2.44826i | −0.384738 | + | 0.103090i | ||||
\(565\) | −0.596173 | − | 0.159744i | −0.0250812 | − | 0.00672048i | ||||
\(566\) | −9.43598 | − | 9.43598i | −0.396624 | − | 0.396624i | ||||
\(567\) | −2.53292 | + | 0.764403i | −0.106373 | + | 0.0321019i | ||||
\(568\) | 11.0541 | 0.463821 | ||||||||
\(569\) | 24.6318 | − | 14.2212i | 1.03262 | − | 0.596182i | 0.114884 | − | 0.993379i | \(-0.463350\pi\) |
0.917733 | + | 0.397197i | \(0.130017\pi\) | |||||||
\(570\) | −2.43998 | + | 0.653792i | −0.102200 | + | 0.0273843i | ||||
\(571\) | −19.7578 | − | 11.4072i | −0.826839 | − | 0.477376i | 0.0259302 | − | 0.999664i | \(-0.491745\pi\) |
−0.852769 | + | 0.522288i | \(0.825079\pi\) | |||||||
\(572\) | −24.9595 | + | 6.04144i | −1.04361 | + | 0.252605i | ||||
\(573\) | 2.91261i | 0.121676i | ||||||||
\(574\) | 1.97619 | − | 8.42101i | 0.0824847 | − | 0.351486i | ||||
\(575\) | −24.0763 | −1.00405 | ||||||||
\(576\) | −10.9095 | + | 6.29860i | −0.454562 | + | 0.262442i | ||||
\(577\) | −10.9943 | − | 41.0315i | −0.457701 | − | 1.70816i | −0.680025 | − | 0.733189i | \(-0.738031\pi\) |
0.222324 | − | 0.974973i | \(-0.428636\pi\) | |||||||
\(578\) | 39.7519 | − | 10.6515i | 1.65346 | − | 0.443044i | ||||
\(579\) | −1.70763 | + | 6.37298i | −0.0709669 | + | 0.264852i | ||||
\(580\) | 0.0987200 | + | 0.0987200i | 0.00409913 | + | 0.00409913i | ||||
\(581\) | 23.2027 | − | 0.726397i | 0.962611 | − | 0.0301360i | ||||
\(582\) | 21.3527i | 0.885096i | ||||||||
\(583\) | 3.42511 | + | 0.917754i | 0.141853 | + | 0.0380095i | ||||
\(584\) | 13.5047 | − | 23.3909i | 0.558830 | − | 0.967922i | ||||
\(585\) | 1.70650 | − | 1.62546i | 0.0705551 | − | 0.0672045i | ||||
\(586\) | −16.8067 | + | 9.70336i | −0.694279 | + | 0.400842i | ||||
\(587\) | 9.03045 | − | 9.03045i | 0.372727 | − | 0.372727i | −0.495743 | − | 0.868469i | \(-0.665104\pi\) |
0.868469 | + | 0.495743i | \(0.165104\pi\) | |||||||
\(588\) | 16.3061 | − | 10.8281i | 0.672453 | − | 0.446545i | ||||
\(589\) | − | 13.9126i | − | 0.573258i | ||||||
\(590\) | 1.95590 | − | 7.29951i | 0.0805230 | − | 0.300516i | ||||
\(591\) | 6.18180 | + | 23.0708i | 0.254285 | + | 0.949006i | ||||
\(592\) | −5.07842 | − | 18.9529i | −0.208722 | − | 0.778960i | ||||
\(593\) | −5.75416 | + | 21.4748i | −0.236295 | + | 0.881865i | 0.741266 | + | 0.671212i | \(0.234226\pi\) |
−0.977561 | + | 0.210654i | \(0.932441\pi\) | |||||||
\(594\) | − | 5.57827i | − | 0.228879i | ||||||
\(595\) | −10.3411 | + | 0.323745i | −0.423945 | + | 0.0132723i | ||||
\(596\) | −8.94902 | + | 8.94902i | −0.366566 | + | 0.366566i | ||||
\(597\) | −0.697854 | + | 0.402906i | −0.0285612 | + | 0.0164898i | ||||
\(598\) | 30.1044 | − | 28.6747i | 1.23106 | − | 1.17260i | ||||
\(599\) | −13.9125 | + | 24.0971i | −0.568448 | + | 0.984581i | 0.428272 | + | 0.903650i | \(0.359123\pi\) |
−0.996720 | + | 0.0809310i | \(0.974211\pi\) | |||||||
\(600\) | −7.70254 | − | 2.06389i | −0.314455 | − | 0.0842580i | ||||
\(601\) | 17.9740i | 0.733174i | 0.930384 | + | 0.366587i | \(0.119474\pi\) | ||||
−0.930384 | + | 0.366587i | \(0.880526\pi\) | |||||||
\(602\) | 2.75183 | + | 4.43943i | 0.112156 | + | 0.180938i | ||||
\(603\) | −2.56986 | − | 2.56986i | −0.104653 | − | 0.104653i | ||||
\(604\) | −3.14478 | + | 11.7365i | −0.127959 | + | 0.477551i | ||||
\(605\) | 2.84889 | − | 0.763358i | 0.115824 | − | 0.0310349i | ||||
\(606\) | −3.48562 | − | 13.0085i | −0.141593 | − | 0.528434i | ||||
\(607\) | 11.4792 | − | 6.62754i | 0.465928 | − | 0.269004i | −0.248606 | − | 0.968605i | \(-0.579972\pi\) |
0.714534 | + | 0.699601i | \(0.246639\pi\) | |||||||
\(608\) | 13.0080 | 0.527543 | ||||||||
\(609\) | −0.0583878 | − | 0.193473i | −0.00236599 | − | 0.00783994i | ||||
\(610\) | 4.37810i | 0.177264i | ||||||||
\(611\) | −11.8547 | + | 2.86943i | −0.479589 | + | 0.116085i | ||||
\(612\) | 14.4877 | + | 8.36449i | 0.585631 | + | 0.338114i | ||||
\(613\) | −7.78962 | + | 2.08722i | −0.314620 | + | 0.0843021i | −0.412673 | − | 0.910879i | \(-0.635405\pi\) |
0.0980538 | + | 0.995181i | \(0.468738\pi\) | |||||||
\(614\) | 54.6167 | − | 31.5330i | 2.20415 | − | 1.27257i | ||||
\(615\) | −0.975766 | −0.0393467 | ||||||||
\(616\) | 3.39534 | + | 11.2508i | 0.136802 | + | 0.453307i | ||||
\(617\) | −12.9666 | − | 12.9666i | −0.522016 | − | 0.522016i | 0.396163 | − | 0.918180i | \(-0.370341\pi\) |
−0.918180 | + | 0.396163i | \(0.870341\pi\) | |||||||
\(618\) | 34.2855 | + | 9.18678i | 1.37917 | + | 0.369547i | ||||
\(619\) | −29.9041 | + | 8.01277i | −1.20195 | + | 0.322061i | −0.803597 | − | 0.595173i | \(-0.797083\pi\) |
−0.398349 | + | 0.917234i | \(0.630417\pi\) | |||||||
\(620\) | −7.20525 | + | 12.4799i | −0.289370 | + | 0.501203i | ||||
\(621\) | 2.63259 | + | 4.55977i | 0.105642 | + | 0.182977i | ||||
\(622\) | −4.56613 | − | 4.56613i | −0.183085 | − | 0.183085i | ||||
\(623\) | 20.7767 | − | 12.8787i | 0.832402 | − | 0.515973i | ||||
\(624\) | −5.61357 | + | 3.06147i | −0.224722 | + | 0.122557i | ||||
\(625\) | 9.38689 | + | 16.2586i | 0.375476 | + | 0.650343i | ||||
\(626\) | 7.04064 | + | 26.2760i | 0.281401 | + | 1.05020i | ||||
\(627\) | −2.24733 | + | 3.89250i | −0.0897499 | + | 0.155451i | ||||
\(628\) | 6.80206 | + | 11.7815i | 0.271432 | + | 0.470133i | ||||
\(629\) | −46.8057 | + | 46.8057i | −1.86626 | + | 1.86626i | ||||
\(630\) | −2.76059 | − | 2.59299i | −0.109985 | − | 0.103307i | ||||
\(631\) | 25.6189 | − | 25.6189i | 1.01987 | − | 1.01987i | 0.0200749 | − | 0.999798i | \(-0.493610\pi\) |
0.999798 | − | 0.0200749i | \(-0.00639046\pi\) | |||||||
\(632\) | 18.8731 | + | 5.05703i | 0.750731 | + | 0.201158i | ||||
\(633\) | 15.1990 | + | 8.77514i | 0.604106 | + | 0.348780i | ||||
\(634\) | 28.9599 | + | 16.7200i | 1.15015 | + | 0.664037i | ||||
\(635\) | −2.69185 | + | 10.0461i | −0.106823 | + | 0.398668i | ||||
\(636\) | −3.89280 | −0.154359 | ||||||||
\(637\) | 21.3586 | − | 13.4466i | 0.846258 | − | 0.532773i | ||||
\(638\) | 0.426088 | 0.0168690 | ||||||||
\(639\) | −1.64062 | + | 6.12287i | −0.0649019 | + | 0.242217i | ||||
\(640\) | −7.27133 | − | 4.19810i | −0.287425 | − | 0.165945i | ||||
\(641\) | 33.3576 | + | 19.2590i | 1.31755 | + | 0.760687i | 0.983334 | − | 0.181811i | \(-0.0581958\pi\) |
0.334214 | + | 0.942497i | \(0.391529\pi\) | |||||||
\(642\) | 37.0653 | + | 9.93161i | 1.46285 | + | 0.391970i | ||||
\(643\) | 19.0170 | − | 19.0170i | 0.749958 | − | 0.749958i | −0.224513 | − | 0.974471i | \(-0.572079\pi\) |
0.974471 | + | 0.224513i | \(0.0720790\pi\) | |||||||
\(644\) | −28.3923 | − | 26.6686i | −1.11881 | − | 1.05089i | ||||
\(645\) | 0.416635 | − | 0.416635i | 0.0164050 | − | 0.0164050i | ||||
\(646\) | −11.5601 | − | 20.0227i | −0.454826 | − | 0.787782i | ||||
\(647\) | −24.4519 | + | 42.3520i | −0.961305 | + | 1.66503i | −0.242074 | + | 0.970258i | \(0.577828\pi\) |
−0.719231 | + | 0.694771i | \(0.755506\pi\) | |||||||
\(648\) | 0.451346 | + | 1.68444i | 0.0177305 | + | 0.0661712i | ||||
\(649\) | −6.72318 | − | 11.6449i | −0.263908 | − | 0.457102i | ||||
\(650\) | −34.6399 | − | 10.1907i | −1.35869 | − | 0.399710i | ||||
\(651\) | 17.7298 | − | 10.9900i | 0.694885 | − | 0.430732i | ||||
\(652\) | 0.590407 | + | 0.590407i | 0.0231221 | + | 0.0231221i | ||||
\(653\) | 19.4880 | + | 33.7542i | 0.762625 | + | 1.32090i | 0.941493 | + | 0.337032i | \(0.109423\pi\) |
−0.178868 | + | 0.983873i | \(0.557244\pi\) | |||||||
\(654\) | 16.3309 | − | 28.2860i | 0.638590 | − | 1.10607i | ||||
\(655\) | −9.19808 | + | 2.46462i | −0.359399 | + | 0.0963006i | ||||
\(656\) | 2.55715 | + | 0.685188i | 0.0998401 | + | 0.0267521i | ||||
\(657\) | 10.9519 | + | 10.9519i | 0.427273 | + | 0.427273i | ||||
\(658\) | 5.66313 | + | 18.7653i | 0.220772 | + | 0.731547i | ||||
\(659\) | −5.25399 | −0.204666 | −0.102333 | − | 0.994750i | \(-0.532631\pi\) | ||||
−0.102333 | + | 0.994750i | \(0.532631\pi\) | |||||||
\(660\) | 4.03180 | − | 2.32776i | 0.156938 | − | 0.0906080i | ||||
\(661\) | −5.18442 | + | 1.38916i | −0.201650 | + | 0.0540321i | −0.358230 | − | 0.933633i | \(-0.616620\pi\) |
0.156580 | + | 0.987665i | \(0.449953\pi\) | |||||||
\(662\) | −29.6063 | − | 17.0932i | −1.15068 | − | 0.664347i | ||||
\(663\) | 18.4129 | + | 11.2363i | 0.715098 | + | 0.436382i | ||||
\(664\) | − | 15.3009i | − | 0.593788i | ||||||
\(665\) | 0.881686 | + | 2.92155i | 0.0341903 | + | 0.113293i | ||||
\(666\) | −24.2312 | −0.938941 | ||||||||
\(667\) | −0.348292 | + | 0.201086i | −0.0134859 | + | 0.00778609i | ||||
\(668\) | 8.12832 | + | 30.3353i | 0.314494 | + | 1.17371i | ||||
\(669\) | −3.50035 | + | 0.937916i | −0.135331 | + | 0.0362619i | ||||
\(670\) | 1.34652 | − | 5.02530i | 0.0520208 | − | 0.194144i | ||||
\(671\) | 5.50840 | + | 5.50840i | 0.212649 | + | 0.212649i | ||||
\(672\) | 10.2754 | + | 16.5770i | 0.396383 | + | 0.639470i | ||||
\(673\) | − | 40.2628i | − | 1.55202i | −0.630722 | − | 0.776008i | \(-0.717241\pi\) | ||
0.630722 | − | 0.776008i | \(-0.282759\pi\) | |||||||
\(674\) | −3.83453 | − | 1.02746i | −0.147700 | − | 0.0395762i | ||||
\(675\) | 2.28637 | − | 3.96012i | 0.0880026 | − | 0.152425i | ||||
\(676\) | 32.3277 | − | 16.6238i | 1.24337 | − | 0.639377i | ||||
\(677\) | 23.1527 | − | 13.3672i | 0.889832 | − | 0.513745i | 0.0159443 | − | 0.999873i | \(-0.494925\pi\) |
0.873887 | + | 0.486128i | \(0.161591\pi\) | |||||||
\(678\) | 1.46226 | − | 1.46226i | 0.0561577 | − | 0.0561577i | ||||
\(679\) | 25.7832 | − | 0.807182i | 0.989467 | − | 0.0309768i | ||||
\(680\) | 6.81937i | 0.261511i | ||||||||
\(681\) | 3.36001 | − | 12.5397i | 0.128756 | − | 0.480523i | ||||
\(682\) | 11.3829 | + | 42.4817i | 0.435875 | + | 1.62671i | ||||
\(683\) | 8.54301 | + | 31.8830i | 0.326889 | + | 1.21997i | 0.912399 | + | 0.409302i | \(0.134228\pi\) |
−0.585510 | + | 0.810665i | \(0.699106\pi\) | |||||||
\(684\) | 1.27710 | − | 4.76621i | 0.0488312 | − | 0.182241i | ||||
\(685\) | 0.889463i | 0.0339846i | ||||||||
\(686\) | −23.4838 | − | 33.0701i | −0.896617 | − | 1.26262i | ||||
\(687\) | −8.21841 | + | 8.21841i | −0.313552 | + | 0.313552i | ||||
\(688\) | −1.38442 | + | 0.799298i | −0.0527807 | + | 0.0304730i | ||||
\(689\) | −5.01794 | − | 0.122046i | −0.191168 | − | 0.00464958i | ||||
\(690\) | −3.76856 | + | 6.52735i | −0.143467 | + | 0.248492i | ||||
\(691\) | 19.8084 | + | 5.30765i | 0.753548 | + | 0.201913i | 0.615091 | − | 0.788456i | \(-0.289119\pi\) |
0.138457 | + | 0.990369i | \(0.455786\pi\) | |||||||
\(692\) | 27.5796i | 1.04842i | ||||||||
\(693\) | −6.73572 | + | 0.210872i | −0.255869 | + | 0.00801037i | ||||
\(694\) | 57.1794 | + | 57.1794i | 2.17050 | + | 2.17050i | ||||
\(695\) | 1.76269 | − | 6.57844i | 0.0668626 | − | 0.249535i | ||||
\(696\) | −0.128664 | + | 0.0344754i | −0.00487699 | + | 0.00130679i | ||||
\(697\) | −2.31148 | − | 8.62657i | −0.0875537 | − | 0.326755i | ||||
\(698\) | −53.3094 | + | 30.7782i | −2.01779 | + | 1.16497i | ||||
\(699\) | −25.9080 | −0.979931 | ||||||||
\(700\) | −7.72912 | + | 32.9355i | −0.292133 | + | 1.24485i | ||||
\(701\) | − | 44.2019i | − | 1.66948i | −0.550641 | − | 0.834742i | \(-0.685617\pi\) | ||
0.550641 | − | 0.834742i | \(-0.314383\pi\) | |||||||
\(702\) | 1.85765 | + | 7.67468i | 0.0701126 | + | 0.289662i | ||||
\(703\) | 16.9085 | + | 9.76210i | 0.637715 | + | 0.368185i | ||||
\(704\) | −30.9932 | + | 8.30459i | −1.16810 | + | 0.312991i | ||||
\(705\) | 1.91493 | − | 1.10559i | 0.0721206 | − | 0.0416389i | ||||
\(706\) | −56.7120 | −2.13438 | ||||||||
\(707\) | −15.5759 | + | 4.70061i | −0.585792 | + | 0.176785i | ||||
\(708\) | 10.4381 | + | 10.4381i | 0.392287 | + | 0.392287i | ||||
\(709\) | −39.5912 | − | 10.6084i | −1.48688 | − | 0.398408i | −0.578196 | − | 0.815898i | \(-0.696243\pi\) |
−0.908681 | + | 0.417490i | \(0.862910\pi\) | |||||||
\(710\) | −8.76493 | + | 2.34856i | −0.328942 | + | 0.0881397i | ||||
\(711\) | −5.60217 | + | 9.70324i | −0.210098 | + | 0.363900i | ||||
\(712\) | −8.05592 | − | 13.9533i | −0.301908 | − | 0.522920i | ||||
\(713\) | −29.3532 | − | 29.3532i | −1.09929 | − | 1.09929i | ||||
\(714\) | 16.3846 | − | 30.5484i | 0.613179 | − | 1.14325i | ||||
\(715\) | 5.27010 | − | 2.87416i | 0.197091 | − | 0.107487i | ||||
\(716\) | 33.5537 | + | 58.1167i | 1.25396 | + | 2.17192i | ||||
\(717\) | −3.98656 | − | 14.8780i | −0.148881 | − | 0.555630i | ||||
\(718\) | −34.7409 | + | 60.1731i | −1.29652 | + | 2.24564i | ||||
\(719\) | 1.43809 | + | 2.49085i | 0.0536317 | + | 0.0928929i | 0.891595 | − | 0.452834i | \(-0.149587\pi\) |
−0.837963 | + | 0.545727i | \(0.816254\pi\) | |||||||
\(720\) | 0.819663 | − | 0.819663i | 0.0305470 | − | 0.0305470i | ||||
\(721\) | 9.79689 | − | 41.7468i | 0.364855 | − | 1.55473i | ||||
\(722\) | 24.6011 | − | 24.6011i | 0.915559 | − | 0.915559i | ||||
\(723\) | −11.2755 | − | 3.02126i | −0.419340 | − | 0.112362i | ||||
\(724\) | −16.5631 | − | 9.56273i | −0.615564 | − | 0.355396i | ||||
\(725\) | 0.302488 | + | 0.174641i | 0.0112341 | + | 0.00648602i | ||||
\(726\) | −2.55764 | + | 9.54523i | −0.0949228 | + | 0.354257i | ||||
\(727\) | 26.3024 | 0.975502 | 0.487751 | − | 0.872983i | \(-0.337817\pi\) | ||||
0.487751 | + | 0.872983i | \(0.337817\pi\) | |||||||
\(728\) | −8.41805 | − | 14.3483i | −0.311994 | − | 0.531783i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −5.73842 | + | 21.4161i | −0.212389 | + | 0.792645i | ||||
\(731\) | 4.67036 | + | 2.69644i | 0.172740 | + | 0.0997313i | ||||
\(732\) | −7.40632 | − | 4.27604i | −0.273745 | − | 0.158047i | ||||
\(733\) | 39.5431 | + | 10.5955i | 1.46056 | + | 0.391355i | 0.899682 | − | 0.436546i | \(-0.143798\pi\) |
0.560875 | + | 0.827901i | \(0.310465\pi\) | |||||||
\(734\) | 40.9045 | − | 40.9045i | 1.50981 | − | 1.50981i | ||||
\(735\) | −3.02666 | + | 3.43142i | −0.111640 | + | 0.126570i | ||||
\(736\) | 27.4446 | − | 27.4446i | 1.01162 | − | 1.01162i | ||||
\(737\) | −4.62852 | − | 8.01684i | −0.170494 | − | 0.295304i | ||||
\(738\) | 1.63466 | − | 2.83131i | 0.0601725 | − | 0.104222i | ||||
\(739\) | −7.35841 | − | 27.4620i | −0.270684 | − | 1.01020i | −0.958679 | − | 0.284490i | \(-0.908176\pi\) |
0.687995 | − | 0.725715i | \(-0.258491\pi\) | |||||||
\(740\) | −10.1115 | − | 17.5136i | −0.371705 | − | 0.643812i | ||||
\(741\) | 1.79565 | − | 6.10376i | 0.0659650 | − | 0.224227i | ||||
\(742\) | 0.252409 | + | 8.06251i | 0.00926624 | + | 0.295984i | ||||
\(743\) | 15.6997 | + | 15.6997i | 0.575966 | + | 0.575966i | 0.933789 | − | 0.357823i | \(-0.116481\pi\) |
−0.357823 | + | 0.933789i | \(0.616481\pi\) | |||||||
\(744\) | −6.87450 | − | 11.9070i | −0.252031 | − | 0.436531i | ||||
\(745\) | 1.47918 | − | 2.56202i | 0.0541931 | − | 0.0938653i | ||||
\(746\) | −5.82436 | + | 1.56063i | −0.213245 | + | 0.0571388i | ||||
\(747\) | 8.47513 | + | 2.27090i | 0.310089 | + | 0.0830880i | ||||
\(748\) | 30.1302 | + | 30.1302i | 1.10167 | + | 1.10167i | ||||
\(749\) | 10.5912 | − | 45.1315i | 0.386994 | − | 1.64907i | ||||
\(750\) | 13.7035 | 0.500379 | ||||||||
\(751\) | −13.2341 | + | 7.64073i | −0.482920 | + | 0.278814i | −0.721633 | − | 0.692276i | \(-0.756608\pi\) |
0.238713 | + | 0.971090i | \(0.423275\pi\) | |||||||
\(752\) | −5.79475 | + | 1.55270i | −0.211313 | + | 0.0566211i | ||||
\(753\) | −3.08052 | − | 1.77854i | −0.112260 | − | 0.0648135i | ||||
\(754\) | −0.586219 | + | 0.141894i | −0.0213488 | + | 0.00516748i | ||||
\(755\) | − | 2.84025i | − | 0.103367i | ||||||
\(756\) | 7.08273 | − | 2.13748i | 0.257597 | − | 0.0777394i | ||||
\(757\) | −28.2653 | −1.02732 | −0.513660 | − | 0.857994i | \(-0.671711\pi\) | ||||
−0.513660 | + | 0.857994i | \(0.671711\pi\) | |||||||
\(758\) | −14.3186 | + | 8.26687i | −0.520076 | + | 0.300266i | ||||
\(759\) | 3.47102 | + | 12.9540i | 0.125990 | + | 0.470201i | ||||
\(760\) | 1.94289 | − | 0.520596i | 0.0704760 | − | 0.0188840i | ||||
\(761\) | −6.30631 | + | 23.5355i | −0.228603 | + | 0.853160i | 0.752325 | + | 0.658792i | \(0.228932\pi\) |
−0.980929 | + | 0.194368i | \(0.937734\pi\) | |||||||
\(762\) | −24.6405 | − | 24.6405i | −0.892632 | − | 0.892632i | ||||
\(763\) | −34.7725 | − | 18.6502i | −1.25885 | − | 0.675182i | ||||
\(764\) | − | 8.14445i | − | 0.294656i | ||||||
\(765\) | −3.77725 | − | 1.01211i | −0.136567 | − | 0.0365929i | ||||
\(766\) | 28.9699 | − | 50.1774i | 1.04673 | − | 1.81298i | ||||
\(767\) | 13.1278 | + | 13.7823i | 0.474017 | + | 0.497650i | ||||
\(768\) | 2.54365 | − | 1.46858i | 0.0917861 | − | 0.0529927i | ||||
\(769\) | −36.5890 | + | 36.5890i | −1.31943 | + | 1.31943i | −0.405206 | + | 0.914225i | \(0.632800\pi\) |
−0.914225 | + | 0.405206i | \(0.867200\pi\) | |||||||
\(770\) | −5.08254 | − | 8.19948i | −0.183162 | − | 0.295489i | ||||
\(771\) | 15.1037i | 0.543946i | ||||||||
\(772\) | 4.77501 | − | 17.8206i | 0.171856 | − | 0.641377i | ||||
\(773\) | 9.53735 | + | 35.5939i | 0.343035 | + | 1.28022i | 0.894891 | + | 0.446284i | \(0.147253\pi\) |
−0.551857 | + | 0.833939i | \(0.686080\pi\) | |||||||
\(774\) | 0.510949 | + | 1.90689i | 0.0183657 | + | 0.0685417i | ||||
\(775\) | −9.33108 | + | 34.8240i | −0.335182 | + | 1.25092i | ||||
\(776\) | − | 17.0025i | − | 0.610354i | ||||||
\(777\) | 0.915999 | + | 29.2590i | 0.0328613 | + | 1.04966i | ||||
\(778\) | 9.10892 | − | 9.10892i | 0.326571 | − | 0.326571i | ||||
\(779\) | −2.28131 | + | 1.31712i | −0.0817365 | + | 0.0471906i | ||||
\(780\) | −4.77184 | + | 4.54523i | −0.170859 | + | 0.162745i | ||||
\(781\) | −8.07290 | + | 13.9827i | −0.288871 | + | 0.500339i | ||||
\(782\) | −66.6344 | − | 17.8546i | −2.38284 | − | 0.638480i | ||||
\(783\) | − | 0.0763835i | − | 0.00272972i | ||||||
\(784\) | 10.3414 | − | 6.86725i | 0.369336 | − | 0.245259i | ||||
\(785\) | −2.24863 | − | 2.24863i | −0.0802569 | − | 0.0802569i | ||||
\(786\) | 8.25772 | − | 30.8182i | 0.294543 | − | 1.09925i | ||||
\(787\) | 5.47568 | − | 1.46720i | 0.195187 | − | 0.0523002i | −0.159901 | − | 0.987133i | \(-0.551118\pi\) |
0.355088 | + | 0.934833i | \(0.384451\pi\) | |||||||
\(788\) | −17.2860 | − | 64.5122i | −0.615788 | − | 2.29815i | ||||
\(789\) | −19.0721 | + | 11.0113i | −0.678984 | + | 0.392012i | ||||
\(790\) | −16.0391 | −0.570645 | ||||||||
\(791\) | −1.82094 | − | 1.71039i | −0.0647452 | − | 0.0608144i | ||||
\(792\) | 4.44182i | 0.157833i | ||||||||
\(793\) | −9.41293 | − | 5.74416i | −0.334263 | − | 0.203981i | ||||
\(794\) | 16.1021 | + | 9.29653i | 0.571441 | + | 0.329922i | ||||
\(795\) | 0.878957 | − | 0.235516i | 0.0311734 | − | 0.00835288i | ||||
\(796\) | 1.95139 | − | 1.12663i | 0.0691651 | − | 0.0399325i | ||||
\(797\) | −4.66456 | −0.165227 | −0.0826136 | − | 0.996582i | \(-0.526327\pi\) | ||||
−0.0826136 | + | 0.996582i | \(0.526327\pi\) | |||||||
\(798\) | −9.95428 | − | 2.33601i | −0.352378 | − | 0.0826939i | ||||
\(799\) | 14.3106 | + | 14.3106i | 0.506272 | + | 0.506272i | ||||
\(800\) | −32.5597 | − | 8.72436i | −1.15116 | − | 0.308453i | ||||
\(801\) | 8.92433 | − | 2.39127i | 0.315326 | − | 0.0844913i | ||||
\(802\) | −42.8917 | + | 74.2907i | −1.51456 | + | 2.62329i | ||||
\(803\) | 19.7252 | + | 34.1650i | 0.696086 | + | 1.20566i | ||||
\(804\) | 7.18603 | + | 7.18603i | 0.253432 | + | 0.253432i | ||||
\(805\) | 8.02418 | + | 4.30376i | 0.282815 | + | 0.151688i | ||||
\(806\) | −29.8079 | − | 54.6563i | −1.04994 | − | 1.92518i | ||||
\(807\) | −15.0643 | − | 26.0922i | −0.530289 | − | 0.918488i | ||||
\(808\) | 2.77550 | + | 10.3583i | 0.0976416 | + | 0.364404i | ||||
\(809\) | −20.4024 | + | 35.3380i | −0.717310 | + | 1.24242i | 0.244751 | + | 0.969586i | \(0.421294\pi\) |
−0.962062 | + | 0.272832i | \(0.912040\pi\) | |||||||
\(810\) | −0.715753 | − | 1.23972i | −0.0251490 | − | 0.0435593i | ||||
\(811\) | −15.4548 | + | 15.4548i | −0.542690 | + | 0.542690i | −0.924317 | − | 0.381626i | \(-0.875364\pi\) |
0.381626 | + | 0.924317i | \(0.375364\pi\) | |||||||
\(812\) | 0.163268 | + | 0.541004i | 0.00572959 | + | 0.0189855i | ||||
\(813\) | −18.9696 | + | 18.9696i | −0.665293 | + | 0.665293i | ||||
\(814\) | −59.6166 | − | 15.9742i | −2.08956 | − | 0.559896i | ||||
\(815\) | −0.169028 | − | 0.0975885i | −0.00592080 | − | 0.00341837i | ||||
\(816\) | 9.18818 | + | 5.30480i | 0.321651 | + | 0.185705i | ||||
\(817\) | 0.411695 | − | 1.53647i | 0.0144034 | − | 0.0537542i | ||||
\(818\) | −4.19671 | −0.146735 | ||||||||
\(819\) | 9.19689 | − | 2.53322i | 0.321365 | − | 0.0885180i | ||||
\(820\) | 2.72851 | 0.0952836 | ||||||||
\(821\) | 2.31025 | − | 8.62197i | 0.0806283 | − | 0.300909i | −0.913822 | − | 0.406114i | \(-0.866883\pi\) |
0.994450 | + | 0.105206i | \(0.0335501\pi\) | |||||||
\(822\) | −2.58089 | − | 1.49008i | −0.0900188 | − | 0.0519724i | ||||
\(823\) | 15.7750 | + | 9.10768i | 0.549881 | + | 0.317474i | 0.749074 | − | 0.662487i | \(-0.230499\pi\) |
−0.199193 | + | 0.979960i | \(0.563832\pi\) | |||||||
\(824\) | −27.3006 | − | 7.31517i | −0.951061 | − | 0.254836i | ||||
\(825\) | 8.23589 | − | 8.23589i | 0.286737 | − | 0.286737i | ||||
\(826\) | 20.9419 | − | 22.2955i | 0.728662 | − | 0.775760i | ||||
\(827\) | 22.9060 | − | 22.9060i | 0.796520 | − | 0.796520i | −0.186025 | − | 0.982545i | \(-0.559561\pi\) |
0.982545 | + | 0.186025i | \(0.0595605\pi\) | |||||||
\(828\) | −7.36143 | − | 12.7504i | −0.255827 | − | 0.443106i | ||||
\(829\) | 14.1448 | − | 24.4995i | 0.491268 | − | 0.850901i | −0.508681 | − | 0.860955i | \(-0.669867\pi\) |
0.999949 | + | 0.0100536i | \(0.00320020\pi\) | |||||||
\(830\) | 3.25081 | + | 12.1322i | 0.112837 | + | 0.421115i | ||||
\(831\) | 1.22457 | + | 2.12102i | 0.0424800 | + | 0.0735775i | ||||
\(832\) | 39.8753 | − | 21.7468i | 1.38243 | − | 0.753935i | ||||
\(833\) | −37.5064 | − | 18.6295i | −1.29952 | − | 0.645474i | ||||
\(834\) | 16.1352 | + | 16.1352i | 0.558717 | + | 0.558717i | ||||
\(835\) | −3.67060 | − | 6.35766i | −0.127026 | − | 0.220016i | ||||
\(836\) | 6.28416 | − | 10.8845i | 0.217342 | − | 0.376448i | ||||
\(837\) | 7.61556 | − | 2.04058i | 0.263232 | − | 0.0705329i | ||||
\(838\) | 13.5642 | + | 3.63452i | 0.468567 | + | 0.125552i | ||||
\(839\) | 15.9512 | + | 15.9512i | 0.550698 | + | 0.550698i | 0.926642 | − | 0.375945i | \(-0.122682\pi\) |
−0.375945 | + | 0.926642i | \(0.622682\pi\) | |||||||
\(840\) | 2.19818 | + | 2.06472i | 0.0758445 | + | 0.0712398i | ||||
\(841\) | −28.9942 | −0.999799 | ||||||||
\(842\) | 15.5132 | − | 8.95655i | 0.534620 | − | 0.308663i | ||||
\(843\) | −27.5122 | + | 7.37188i | −0.947572 | + | 0.253901i | ||||
\(844\) | −42.5005 | − | 24.5377i | −1.46293 | − | 0.844622i | ||||
\(845\) | −6.29355 | + | 5.70934i | −0.216505 | + | 0.196407i | ||||
\(846\) | 7.40856i | 0.254712i | ||||||||
\(847\) | 11.6225 | + | 2.72749i | 0.399353 | + | 0.0937178i | ||||
\(848\) | −2.46883 | −0.0847800 | ||||||||
\(849\) | −5.27692 | + | 3.04663i | −0.181103 | + | 0.104560i | ||||
\(850\) | 15.5066 | + | 57.8713i | 0.531871 | + | 1.98497i | ||||
\(851\) | 56.2704 | − | 15.0776i | 1.92892 | − | 0.516854i | ||||
\(852\) | 4.58761 | − | 17.1212i | 0.157169 | − | 0.586563i | ||||
\(853\) | 22.1904 | + | 22.1904i | 0.759784 | + | 0.759784i | 0.976283 | − | 0.216499i | \(-0.0694639\pi\) |
−0.216499 | + | 0.976283i | \(0.569464\pi\) | |||||||
\(854\) | −8.37604 | + | 15.6168i | −0.286622 | + | 0.534395i | ||||
\(855\) | 1.15343i | 0.0394465i | ||||||||
\(856\) | −29.5140 | − | 7.90826i | −1.00877 | − | 0.270299i | ||||
\(857\) | 0.305420 | − | 0.529004i | 0.0104330 | − | 0.0180704i | −0.860762 | − | 0.509008i | \(-0.830012\pi\) |
0.871195 | + | 0.490938i | \(0.163346\pi\) | |||||||
\(858\) | −0.489036 | + | 20.1068i | −0.0166954 | + | 0.686435i | ||||
\(859\) | −22.0653 | + | 12.7394i | −0.752858 | + | 0.434663i | −0.826726 | − | 0.562605i | \(-0.809799\pi\) |
0.0738678 | + | 0.997268i | \(0.476466\pi\) | |||||||
\(860\) | −1.16503 | + | 1.16503i | −0.0397271 | + | 0.0397271i | ||||
\(861\) | −3.48058 | − | 1.86680i | −0.118618 | − | 0.0636205i | ||||
\(862\) | 21.3195i | 0.726145i | ||||||||
\(863\) | −1.88235 | + | 7.02503i | −0.0640760 | + | 0.239135i | −0.990535 | − | 0.137261i | \(-0.956170\pi\) |
0.926459 | + | 0.376396i | \(0.122837\pi\) | |||||||
\(864\) | 1.90790 | + | 7.12039i | 0.0649081 | + | 0.242240i | ||||
\(865\) | −1.66858 | − | 6.22722i | −0.0567334 | − | 0.211732i | ||||
\(866\) | 7.44479 | − | 27.7843i | 0.252984 | − | 0.944150i | ||||
\(867\) | − | 18.7915i | − | 0.638194i | ||||||
\(868\) | −49.5773 | + | 30.7310i | −1.68276 | + | 1.04308i | ||||
\(869\) | −20.1799 | + | 20.1799i | −0.684556 | + | 0.684556i | ||||
\(870\) | 0.0946942 | − | 0.0546717i | 0.00321043 | − | 0.00185355i | ||||
\(871\) | 9.03773 | + | 9.48832i | 0.306232 | + | 0.321499i | ||||
\(872\) | −13.0039 | + | 22.5233i | −0.440366 | + | 0.762736i | ||||
\(873\) | 9.41767 | + | 2.52346i | 0.318740 | + | 0.0854061i | ||||
\(874\) | 20.3477i | 0.688270i | ||||||||
\(875\) | −0.518024 | − | 16.5468i | −0.0175124 | − | 0.559384i | ||||
\(876\) | −30.6244 | − | 30.6244i | −1.03470 | − | 1.03470i | ||||
\(877\) | 5.27177 | − | 19.6745i | 0.178015 | − | 0.664361i | −0.818003 | − | 0.575214i | \(-0.804919\pi\) |
0.996018 | − | 0.0891479i | \(-0.0284144\pi\) | |||||||
\(878\) | 14.5927 | − | 3.91011i | 0.492481 | − | 0.131960i | ||||
\(879\) | 2.29349 | + | 8.55941i | 0.0773574 | + | 0.288702i | ||||
\(880\) | 2.55699 | − | 1.47628i | 0.0861961 | − | 0.0497653i | ||||
\(881\) | −9.30783 | −0.313589 | −0.156794 | − | 0.987631i | \(-0.550116\pi\) | ||||
−0.156794 | + | 0.987631i | \(0.550116\pi\) | |||||||
\(882\) | −4.88626 | − | 14.5307i | −0.164529 | − | 0.489275i | ||||
\(883\) | 20.6192i | 0.693891i | 0.937885 | + | 0.346945i | \(0.112781\pi\) | ||||
−0.937885 | + | 0.346945i | \(0.887219\pi\) | |||||||
\(884\) | −51.4875 | − | 31.4198i | −1.73171 | − | 1.05676i | ||||
\(885\) | −2.98833 | − | 1.72531i | −0.100452 | − | 0.0579958i | ||||
\(886\) | 49.2735 | − | 13.2028i | 1.65538 | − | 0.443557i | ||||
\(887\) | −16.2365 | + | 9.37414i | −0.545168 | + | 0.314753i | −0.747171 | − | 0.664632i | \(-0.768588\pi\) |
0.202003 | + | 0.979385i | \(0.435255\pi\) | |||||||
\(888\) | 19.2946 | 0.647485 | ||||||||
\(889\) | −28.8218 | + | 30.6847i | −0.966651 | + | 1.02913i | ||||
\(890\) | 9.35212 | + | 9.35212i | 0.313484 | + | 0.313484i | ||||
\(891\) | −2.46032 | − | 0.659241i | −0.0824238 | − | 0.0220854i | ||||
\(892\) | 9.78793 | − | 2.62267i | 0.327724 | − | 0.0878134i | ||||
\(893\) | 2.98471 | − | 5.16967i | 0.0998795 | − | 0.172996i | ||||
\(894\) | 4.95602 | + | 8.58407i | 0.165754 | + | 0.287094i | ||||
\(895\) | −11.0922 | − | 11.0922i | −0.370771 | − | 0.370771i | ||||
\(896\) | −17.9053 | − | 28.8860i | −0.598174 | − | 0.965013i | ||||
\(897\) | −9.08937 | − | 16.6664i | −0.303485 | − | 0.556476i | ||||
\(898\) | −16.5157 | − | 28.6060i | −0.551136 | − | 0.954596i | ||||
\(899\) | 0.155867 | + | 0.581703i | 0.00519845 | + | 0.0194009i | ||||
\(900\) | −6.39332 | + | 11.0736i | −0.213111 | + | 0.369119i | ||||
\(901\) | 4.16430 | + | 7.21279i | 0.138733 | + | 0.240293i | ||||
\(902\) | 5.88829 | − | 5.88829i | 0.196059 | − | 0.196059i | ||||
\(903\) | 2.28324 | − | 0.689053i | 0.0759815 | − | 0.0229302i | ||||
\(904\) | −1.16435 | + | 1.16435i | −0.0387258 | + | 0.0387258i | ||||
\(905\) | 4.31835 | + | 1.15710i | 0.143547 | + | 0.0384632i | ||||
\(906\) | 8.24134 | + | 4.75814i | 0.273800 | + | 0.158079i | ||||
\(907\) | −8.16685 | − | 4.71513i | −0.271176 | − | 0.156563i | 0.358246 | − | 0.933627i | \(-0.383375\pi\) |
−0.629422 | + | 0.777064i | \(0.716708\pi\) | |||||||
\(908\) | −9.39549 | + | 35.0644i | −0.311800 | + | 1.16365i | ||||
\(909\) | −6.14938 | −0.203962 | ||||||||
\(910\) | 9.72319 | + | 9.58841i | 0.322321 | + | 0.317853i | ||||
\(911\) | 7.10474 | 0.235391 | 0.117695 | − | 0.993050i | \(-0.462449\pi\) | ||||
0.117695 | + | 0.993050i | \(0.462449\pi\) | |||||||
\(912\) | 0.809944 | − | 3.02275i | 0.0268199 | − | 0.100093i | ||||
\(913\) | 19.3545 | + | 11.1743i | 0.640539 | + | 0.369815i | ||||
\(914\) | −23.5651 | − | 13.6053i | −0.779465 | − | 0.450025i | ||||
\(915\) | 1.93098 | + | 0.517404i | 0.0638362 | + | 0.0171049i | ||||
\(916\) | 22.9809 | − | 22.9809i | 0.759310 | − | 0.759310i | ||||
\(917\) | −37.5250 | − | 8.80613i | −1.23918 | − | 0.290804i | ||||
\(918\) | 9.26461 | − | 9.26461i | 0.305778 | − | 0.305778i | ||||
\(919\) | 16.9808 | + | 29.4116i | 0.560145 | + | 0.970199i | 0.997483 | + | 0.0709024i | \(0.0225879\pi\) |
−0.437338 | + | 0.899297i | \(0.644079\pi\) | |||||||
\(920\) | 3.00080 | − | 5.19754i | 0.0989335 | − | 0.171358i | ||||
\(921\) | −7.45314 | − | 27.8155i | −0.245589 | − | 0.916552i | ||||
\(922\) | −24.8742 | − | 43.0834i | −0.819188 | − | 1.41887i | ||||
\(923\) | 6.45037 | − | 21.9260i | 0.212316 | − | 0.721702i | ||||
\(924\) | 18.8349 | − | 0.589656i | 0.619623 | − | 0.0193983i | ||||
\(925\) | −35.7755 | − | 35.7755i | −1.17629 | − | 1.17629i | ||||
\(926\) | −7.08555 | − | 12.2725i | −0.232846 | − | 0.403301i | ||||
\(927\) | 8.10374 | − | 14.0361i | 0.266162 | − | 0.461005i | ||||
\(928\) | −0.543880 | + | 0.145732i | −0.0178537 | + | 0.00478389i | ||||
\(929\) | −13.9188 | − | 3.72954i | −0.456662 | − | 0.122362i | 0.0231532 | − | 0.999732i | \(-0.492629\pi\) |
−0.479815 | + | 0.877370i | \(0.659296\pi\) | |||||||
\(930\) | 7.98061 | + | 7.98061i | 0.261695 | + | 0.261695i | ||||
\(931\) | −2.44442 | + | 12.1080i | −0.0801126 | + | 0.396824i | ||||
\(932\) | 72.4458 | 2.37304 | ||||||||
\(933\) | −2.55354 | + | 1.47429i | −0.0835991 | + | 0.0482660i | ||||
\(934\) | 63.5214 | − | 17.0205i | 2.07848 | − | 0.556928i | ||||
\(935\) | −8.62601 | − | 4.98023i | −0.282101 | − | 0.162871i | ||||
\(936\) | −1.47920 | − | 6.11113i | −0.0483491 | − | 0.199748i | ||||
\(937\) | 5.67717i | 0.185465i | 0.995691 | + | 0.0927325i | \(0.0295601\pi\) | ||||
−0.995691 | + | 0.0927325i | \(0.970440\pi\) | |||||||
\(938\) | 14.4173 | − | 15.3492i | 0.470742 | − | 0.501169i | ||||
\(939\) | 12.4212 | 0.405351 | ||||||||
\(940\) | −5.35468 | + | 3.09152i | −0.174650 | + | 0.100834i | ||||
\(941\) | −2.64228 | − | 9.86113i | −0.0861360 | − | 0.321464i | 0.909391 | − | 0.415942i | \(-0.136548\pi\) |
−0.995527 | + | 0.0944787i | \(0.969882\pi\) | |||||||
\(942\) | 10.2917 | − | 2.75765i | 0.335321 | − | 0.0898491i | ||||
\(943\) | −2.03429 | + | 7.59208i | −0.0662457 | + | 0.247232i | ||||
\(944\) | 6.61988 | + | 6.61988i | 0.215459 | + | 0.215459i | ||||
\(945\) | −1.46990 | + | 0.911131i | −0.0478157 | + | 0.0296391i | ||||
\(946\) | 5.02840i | 0.163487i | ||||||||
\(947\) | −34.3096 | − | 9.19324i | −1.11491 | − | 0.298740i | −0.346090 | − | 0.938201i | \(-0.612491\pi\) |
−0.768823 | + | 0.639461i | \(0.779157\pi\) | |||||||
\(948\) | 15.6652 | − | 27.1329i | 0.508782 | − | 0.881235i | ||||
\(949\) | −38.5157 | − | 40.4360i | −1.25027 | − | 1.31261i | ||||
\(950\) | 15.3042 | − | 8.83587i | 0.496533 | − | 0.286673i | ||||
\(951\) | 10.7969 | − | 10.7969i | 0.350114 | − | 0.350114i | ||||
\(952\) | −13.0466 | + | 24.3248i | −0.422843 | + | 0.788372i | ||||
\(953\) | 24.3020i | 0.787219i | 0.919278 | + | 0.393609i | \(0.128774\pi\) | ||||
−0.919278 | + | 0.393609i | \(0.871226\pi\) | |||||||
\(954\) | −0.789097 | + | 2.94495i | −0.0255480 | + | 0.0953463i | ||||
\(955\) | 0.492742 | + | 1.83894i | 0.0159448 | + | 0.0595067i | ||||
\(956\) | 11.1475 | + | 41.6030i | 0.360536 | + | 1.34554i | ||||
\(957\) | 0.0503551 | − | 0.187928i | 0.00162775 | − | 0.00607485i | ||||
\(958\) | 82.7142i | 2.67238i | ||||||||
\(959\) | −1.70169 | + | 3.17273i | −0.0549505 | + | 0.102453i | ||||
\(960\) | −5.82238 | + | 5.82238i | −0.187916 | + | 0.187916i | ||||
\(961\) | −26.9860 | + | 15.5804i | −0.870516 | + | 0.502593i | ||||
\(962\) | 87.3411 | + | 2.12430i | 2.81599 | + | 0.0684903i | ||||
\(963\) | 8.76076 | − | 15.1741i | 0.282312 | − | 0.488978i | ||||
\(964\) | 31.5293 | + | 8.44826i | 1.01549 | + | 0.272100i | ||||
\(965\) | 4.31261i | 0.138828i | ||||||||
\(966\) | −25.9304 | + | 16.0733i | −0.834298 | + | 0.517149i | ||||
\(967\) | 34.1587 | + | 34.1587i | 1.09847 | + | 1.09847i | 0.994590 | + | 0.103880i | \(0.0331259\pi\) |
0.103880 | + | 0.994590i | \(0.466874\pi\) | |||||||
\(968\) | 2.03657 | − | 7.60059i | 0.0654579 | − | 0.244292i | ||||
\(969\) | −10.1973 | + | 2.73235i | −0.327583 | + | 0.0877757i | ||||
\(970\) | 3.61235 | + | 13.4815i | 0.115985 | + | 0.432864i | ||||
\(971\) | −23.1545 | + | 13.3683i | −0.743064 | + | 0.429008i | −0.823182 | − | 0.567777i | \(-0.807803\pi\) |
0.0801184 | + | 0.996785i | \(0.474470\pi\) | |||||||
\(972\) | 2.79627 | 0.0896904 | ||||||||
\(973\) | 18.8732 | − | 20.0931i | 0.605047 | − | 0.644155i | ||||
\(974\) | 44.7100i | 1.43260i | ||||||||
\(975\) | −8.58838 | + | 14.0737i | −0.275048 | + | 0.450720i | ||||
\(976\) | −4.69712 | − | 2.71189i | −0.150351 | − | 0.0868053i | ||||
\(977\) | −23.7744 | + | 6.37034i | −0.760612 | + | 0.203805i | −0.618220 | − | 0.786005i | \(-0.712146\pi\) |
−0.142392 | + | 0.989810i | \(0.545479\pi\) | |||||||
\(978\) | 0.566330 | − | 0.326971i | 0.0181092 | − | 0.0104554i | ||||
\(979\) | 23.5331 | 0.752122 | ||||||||
\(980\) | 8.46336 | − | 9.59517i | 0.270352 | − | 0.306506i | ||||
\(981\) | −10.5457 | − | 10.5457i | −0.336697 | − | 0.336697i | ||||
\(982\) | 73.0661 | + | 19.5780i | 2.33163 | + | 0.624759i | ||||
\(983\) | 1.19986 | − | 0.321501i | 0.0382695 | − | 0.0102543i | −0.239634 | − | 0.970863i | \(-0.577027\pi\) |
0.277903 | + | 0.960609i | \(0.410361\pi\) | |||||||
\(984\) | −1.30163 | + | 2.25449i | −0.0414944 | + | 0.0718705i | ||||
\(985\) | 7.80603 | + | 13.5204i | 0.248721 | + | 0.430797i | ||||
\(986\) | 0.707663 | + | 0.707663i | 0.0225366 | + | 0.0225366i | ||||
\(987\) | 8.94578 | − | 0.280062i | 0.284747 | − | 0.00891446i | ||||
\(988\) | −5.02114 | + | 17.0678i | −0.159744 | + | 0.542998i | ||||
\(989\) | −2.37308 | − | 4.11030i | −0.0754596 | − | 0.130700i | ||||
\(990\) | −0.943707 | − | 3.52196i | −0.0299930 | − | 0.111935i | ||||
\(991\) | −13.4870 | + | 23.3602i | −0.428429 | + | 0.742061i | −0.996734 | − | 0.0807570i | \(-0.974266\pi\) |
0.568305 | + | 0.822818i | \(0.307600\pi\) | |||||||
\(992\) | −29.0595 | − | 50.3325i | −0.922639 | − | 1.59806i | ||||
\(993\) | −11.0379 | + | 11.0379i | −0.350278 | + | 0.350278i | ||||
\(994\) | −35.7578 | − | 8.39144i | −1.13417 | − | 0.266160i | ||||
\(995\) | −0.372443 | + | 0.372443i | −0.0118072 | + | 0.0118072i | ||||
\(996\) | −23.6988 | − | 6.35006i | −0.750924 | − | 0.201209i | ||||
\(997\) | 29.5536 | + | 17.0628i | 0.935973 | + | 0.540384i | 0.888696 | − | 0.458498i | \(-0.151612\pi\) |
0.0472772 | + | 0.998882i | \(0.484946\pi\) | |||||||
\(998\) | −3.16593 | − | 1.82785i | −0.100216 | − | 0.0578596i | ||||
\(999\) | −2.86365 | + | 10.6873i | −0.0906018 | + | 0.338131i |
(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 | 273.2.bz.a.73.1 | ✓ | 36 | |
3.2 | odd | 2 | 819.2.fn.f.73.9 | 36 | |||
7.5 | odd | 6 | 273.2.bz.b.229.9 | yes | 36 | ||
13.5 | odd | 4 | 273.2.bz.b.31.9 | yes | 36 | ||
21.5 | even | 6 | 819.2.fn.g.775.1 | 36 | |||
39.5 | even | 4 | 819.2.fn.g.577.1 | 36 | |||
91.5 | even | 12 | inner | 273.2.bz.a.187.1 | yes | 36 | |
273.5 | odd | 12 | 819.2.fn.f.460.9 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bz.a.73.1 | ✓ | 36 | 1.1 | even | 1 | trivial | |
273.2.bz.a.187.1 | yes | 36 | 91.5 | even | 12 | inner | |
273.2.bz.b.31.9 | yes | 36 | 13.5 | odd | 4 | ||
273.2.bz.b.229.9 | yes | 36 | 7.5 | odd | 6 | ||
819.2.fn.f.73.9 | 36 | 3.2 | odd | 2 | |||
819.2.fn.f.460.9 | 36 | 273.5 | odd | 12 | |||
819.2.fn.g.577.1 | 36 | 39.5 | even | 4 | |||
819.2.fn.g.775.1 | 36 | 21.5 | even | 6 |