Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 7 x^{19} + 24 x^{18} - 70 x^{17} + 209 x^{16} - 527 x^{15} + 1115 x^{14} - 2187 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Root | \(1.76796 - 1.13620i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 69.13 |
Dual form | 69.2.e.c.16.2 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.460828 | + | 0.531824i | 0.325855 | + | 0.376056i | 0.894913 | − | 0.446241i | \(-0.147238\pi\) |
−0.569058 | + | 0.822297i | \(0.692692\pi\) | |||||||
\(3\) | 0.841254 | + | 0.540641i | 0.485698 | + | 0.312139i | ||||
\(4\) | 0.214155 | − | 1.48948i | 0.107078 | − | 0.744742i | ||||
\(5\) | −0.700489 | + | 1.53386i | −0.313268 | + | 0.685962i | −0.999127 | − | 0.0417726i | \(-0.986699\pi\) |
0.685859 | + | 0.727735i | \(0.259427\pi\) | |||||||
\(6\) | 0.100148 | + | 0.696541i | 0.0408851 | + | 0.284362i | ||||
\(7\) | −3.11747 | − | 0.915371i | −1.17829 | − | 0.345978i | −0.366777 | − | 0.930309i | \(-0.619539\pi\) |
−0.811515 | + | 0.584331i | \(0.801357\pi\) | |||||||
\(8\) | 2.07482 | − | 1.33341i | 0.733559 | − | 0.471430i | ||||
\(9\) | 0.415415 | + | 0.909632i | 0.138472 | + | 0.303211i | ||||
\(10\) | −1.13855 | + | 0.334308i | −0.360040 | + | 0.105717i | ||||
\(11\) | −1.33800 | + | 1.54413i | −0.403422 | + | 0.465573i | −0.920716 | − | 0.390234i | \(-0.872394\pi\) |
0.517294 | + | 0.855808i | \(0.326939\pi\) | |||||||
\(12\) | 0.985435 | − | 1.13725i | 0.284471 | − | 0.328296i | ||||
\(13\) | −0.227131 | + | 0.0666916i | −0.0629947 | + | 0.0184969i | −0.313078 | − | 0.949727i | \(-0.601360\pi\) |
0.250083 | + | 0.968224i | \(0.419542\pi\) | |||||||
\(14\) | −0.949800 | − | 2.07977i | −0.253845 | − | 0.555843i | ||||
\(15\) | −1.41856 | + | 0.911650i | −0.366269 | + | 0.235387i | ||||
\(16\) | −1.22242 | − | 0.358935i | −0.305605 | − | 0.0897336i | ||||
\(17\) | −0.427674 | − | 2.97454i | −0.103726 | − | 0.721431i | −0.973617 | − | 0.228187i | \(-0.926720\pi\) |
0.869891 | − | 0.493244i | \(-0.164189\pi\) | |||||||
\(18\) | −0.292329 | + | 0.640112i | −0.0689027 | + | 0.150876i | ||||
\(19\) | 0.682288 | − | 4.74542i | 0.156528 | − | 1.08867i | −0.748443 | − | 0.663199i | \(-0.769198\pi\) |
0.904970 | − | 0.425474i | \(-0.139893\pi\) | |||||||
\(20\) | 2.13464 | + | 1.37185i | 0.477321 | + | 0.306755i | ||||
\(21\) | −2.12769 | − | 2.45549i | −0.464301 | − | 0.535832i | ||||
\(22\) | −1.43779 | −0.306539 | ||||||||
\(23\) | −0.779295 | + | 4.73209i | −0.162494 | + | 0.986710i | ||||
\(24\) | 2.46634 | 0.503440 | ||||||||
\(25\) | 1.41227 | + | 1.62985i | 0.282454 | + | 0.325969i | ||||
\(26\) | −0.140136 | − | 0.0900602i | −0.0274830 | − | 0.0176623i | ||||
\(27\) | −0.142315 | + | 0.989821i | −0.0273885 | + | 0.190491i | ||||
\(28\) | −2.03105 | + | 4.44738i | −0.383833 | + | 0.840477i | ||||
\(29\) | 1.01178 | + | 7.03706i | 0.187882 | + | 1.30675i | 0.837479 | + | 0.546470i | \(0.184029\pi\) |
−0.649597 | + | 0.760279i | \(0.725062\pi\) | |||||||
\(30\) | −1.13855 | − | 0.334308i | −0.207869 | − | 0.0610360i | ||||
\(31\) | 5.64145 | − | 3.62554i | 1.01323 | − | 0.651166i | 0.0750062 | − | 0.997183i | \(-0.476102\pi\) |
0.938228 | + | 0.346017i | \(0.112466\pi\) | |||||||
\(32\) | −2.42155 | − | 5.30245i | −0.428073 | − | 0.937349i | ||||
\(33\) | −1.96042 | + | 0.575630i | −0.341265 | + | 0.100204i | ||||
\(34\) | 1.38485 | − | 1.59820i | 0.237499 | − | 0.274089i | ||||
\(35\) | 3.58780 | − | 4.14054i | 0.606449 | − | 0.699880i | ||||
\(36\) | 1.44385 | − | 0.423951i | 0.240641 | − | 0.0706586i | ||||
\(37\) | 4.77286 | + | 10.4511i | 0.784653 | + | 1.71815i | 0.691358 | + | 0.722513i | \(0.257013\pi\) |
0.0932958 | + | 0.995638i | \(0.470260\pi\) | |||||||
\(38\) | 2.83815 | − | 1.82397i | 0.460408 | − | 0.295886i | ||||
\(39\) | −0.227131 | − | 0.0666916i | −0.0363700 | − | 0.0106792i | ||||
\(40\) | 0.591865 | + | 4.11651i | 0.0935821 | + | 0.650878i | ||||
\(41\) | 3.40729 | − | 7.46093i | 0.532130 | − | 1.16520i | −0.432510 | − | 0.901629i | \(-0.642372\pi\) |
0.964640 | − | 0.263573i | \(-0.0849008\pi\) | |||||||
\(42\) | 0.325387 | − | 2.26312i | 0.0502083 | − | 0.349207i | ||||
\(43\) | 2.42547 | + | 1.55876i | 0.369881 | + | 0.237708i | 0.712355 | − | 0.701819i | \(-0.247629\pi\) |
−0.342474 | + | 0.939527i | \(0.611265\pi\) | |||||||
\(44\) | 2.01342 | + | 2.32361i | 0.303535 | + | 0.350298i | ||||
\(45\) | −1.68624 | −0.251370 | ||||||||
\(46\) | −2.87576 | + | 1.76623i | −0.424008 | + | 0.260417i | ||||
\(47\) | −13.2857 | −1.93793 | −0.968963 | − | 0.247206i | \(-0.920487\pi\) | ||||
−0.968963 | + | 0.247206i | \(0.920487\pi\) | |||||||
\(48\) | −0.834310 | − | 0.962845i | −0.120422 | − | 0.138975i | ||||
\(49\) | 2.99192 | + | 1.92279i | 0.427417 | + | 0.274684i | ||||
\(50\) | −0.215978 | + | 1.50216i | −0.0305439 | + | 0.212437i | ||||
\(51\) | 1.24837 | − | 2.73356i | 0.174807 | − | 0.382775i | ||||
\(52\) | 0.0506948 | + | 0.352590i | 0.00703010 | + | 0.0488954i | ||||
\(53\) | −0.510122 | − | 0.149785i | −0.0700706 | − | 0.0205746i | 0.246509 | − | 0.969140i | \(-0.420716\pi\) |
−0.316580 | + | 0.948566i | \(0.602535\pi\) | |||||||
\(54\) | −0.591994 | + | 0.380451i | −0.0805601 | + | 0.0517728i | ||||
\(55\) | −1.43123 | − | 3.13395i | −0.192986 | − | 0.422581i | ||||
\(56\) | −7.68874 | + | 2.25762i | −1.02745 | + | 0.301687i | ||||
\(57\) | 3.13954 | − | 3.62323i | 0.415843 | − | 0.479908i | ||||
\(58\) | −3.27622 | + | 3.78096i | −0.430189 | + | 0.496465i | ||||
\(59\) | 3.30904 | − | 0.971623i | 0.430801 | − | 0.126495i | −0.0591410 | − | 0.998250i | \(-0.518836\pi\) |
0.489942 | + | 0.871755i | \(0.337018\pi\) | |||||||
\(60\) | 1.05410 | + | 2.30815i | 0.136083 | + | 0.297981i | ||||
\(61\) | 4.08228 | − | 2.62352i | 0.522683 | − | 0.335908i | −0.252550 | − | 0.967584i | \(-0.581269\pi\) |
0.775232 | + | 0.631676i | \(0.217633\pi\) | |||||||
\(62\) | 4.52789 | + | 1.32951i | 0.575042 | + | 0.168848i | ||||
\(63\) | −0.462392 | − | 3.21601i | −0.0582559 | − | 0.405179i | ||||
\(64\) | 0.645553 | − | 1.41356i | 0.0806941 | − | 0.176696i | ||||
\(65\) | 0.0568072 | − | 0.395103i | 0.00704607 | − | 0.0490065i | ||||
\(66\) | −1.20955 | − | 0.777330i | −0.148885 | − | 0.0956827i | ||||
\(67\) | −9.77557 | − | 11.2816i | −1.19428 | − | 1.37827i | −0.907383 | − | 0.420305i | \(-0.861923\pi\) |
−0.286893 | − | 0.957963i | \(-0.592623\pi\) | |||||||
\(68\) | −4.52211 | −0.548387 | ||||||||
\(69\) | −3.21395 | + | 3.55957i | −0.386914 | + | 0.428522i | ||||
\(70\) | 3.85540 | 0.460808 | ||||||||
\(71\) | −8.80741 | − | 10.1643i | −1.04525 | − | 1.20628i | −0.978013 | − | 0.208543i | \(-0.933128\pi\) |
−0.0672342 | − | 0.997737i | \(-0.521417\pi\) | |||||||
\(72\) | 2.07482 | + | 1.33341i | 0.244520 | + | 0.157143i | ||||
\(73\) | −0.632363 | + | 4.39818i | −0.0740124 | + | 0.514768i | 0.918766 | + | 0.394803i | \(0.129187\pi\) |
−0.992778 | + | 0.119965i | \(0.961722\pi\) | |||||||
\(74\) | −3.35868 | + | 7.35449i | −0.390439 | + | 0.854942i | ||||
\(75\) | 0.306915 | + | 2.13464i | 0.0354395 | + | 0.246487i | ||||
\(76\) | −6.92211 | − | 2.03251i | −0.794020 | − | 0.233145i | ||||
\(77\) | 5.58462 | − | 3.58902i | 0.636426 | − | 0.409006i | ||||
\(78\) | −0.0692000 | − | 0.151527i | −0.00783536 | − | 0.0171570i | ||||
\(79\) | −2.00690 | + | 0.589280i | −0.225794 | + | 0.0662992i | −0.392673 | − | 0.919678i | \(-0.628449\pi\) |
0.166878 | + | 0.985977i | \(0.446631\pi\) | |||||||
\(80\) | 1.40685 | − | 1.62359i | 0.157290 | − | 0.181523i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 5.53808 | − | 1.62613i | 0.611579 | − | 0.179576i | ||||
\(83\) | 2.67666 | + | 5.86108i | 0.293802 | + | 0.643337i | 0.997759 | − | 0.0669055i | \(-0.0213126\pi\) |
−0.703957 | + | 0.710242i | \(0.748585\pi\) | |||||||
\(84\) | −4.11307 | + | 2.64331i | −0.448773 | + | 0.288409i | ||||
\(85\) | 4.86210 | + | 1.42764i | 0.527368 | + | 0.154849i | ||||
\(86\) | 0.288742 | + | 2.00824i | 0.0311358 | + | 0.216555i | ||||
\(87\) | −2.95336 | + | 6.46696i | −0.316633 | + | 0.693331i | ||||
\(88\) | −0.717150 | + | 4.98789i | −0.0764485 | + | 0.531711i | ||||
\(89\) | 2.11082 | + | 1.35654i | 0.223746 | + | 0.143793i | 0.647712 | − | 0.761885i | \(-0.275726\pi\) |
−0.423966 | + | 0.905678i | \(0.639362\pi\) | |||||||
\(90\) | −0.777067 | − | 0.896783i | −0.0819100 | − | 0.0945292i | ||||
\(91\) | 0.769120 | 0.0806257 | ||||||||
\(92\) | 6.88149 | + | 2.17415i | 0.717444 | + | 0.226671i | ||||
\(93\) | 6.70601 | 0.695380 | ||||||||
\(94\) | −6.12245 | − | 7.06568i | −0.631482 | − | 0.728769i | ||||
\(95\) | 6.80086 | + | 4.37065i | 0.697754 | + | 0.448419i | ||||
\(96\) | 0.829585 | − | 5.76989i | 0.0846691 | − | 0.588887i | ||||
\(97\) | 0.753920 | − | 1.65086i | 0.0765490 | − | 0.167619i | −0.867488 | − | 0.497458i | \(-0.834267\pi\) |
0.944037 | + | 0.329839i | \(0.106994\pi\) | |||||||
\(98\) | 0.356175 | + | 2.47725i | 0.0359791 | + | 0.250240i | ||||
\(99\) | −1.96042 | − | 0.575630i | −0.197029 | − | 0.0578530i | ||||
\(100\) | 2.73007 | − | 1.75451i | 0.273007 | − | 0.175451i | ||||
\(101\) | −0.996737 | − | 2.18255i | −0.0991791 | − | 0.217172i | 0.853538 | − | 0.521030i | \(-0.174452\pi\) |
−0.952717 | + | 0.303859i | \(0.901725\pi\) | |||||||
\(102\) | 2.02906 | − | 0.595785i | 0.200907 | − | 0.0589915i | ||||
\(103\) | −2.69154 | + | 3.10620i | −0.265205 | + | 0.306063i | −0.872696 | − | 0.488263i | \(-0.837631\pi\) |
0.607491 | + | 0.794326i | \(0.292176\pi\) | |||||||
\(104\) | −0.382328 | + | 0.441230i | −0.0374904 | + | 0.0432662i | ||||
\(105\) | 5.25680 | − | 1.54353i | 0.513011 | − | 0.150634i | ||||
\(106\) | −0.155419 | − | 0.340320i | −0.0150956 | − | 0.0330548i | ||||
\(107\) | 11.3204 | − | 7.27515i | 1.09438 | − | 0.703315i | 0.136545 | − | 0.990634i | \(-0.456400\pi\) |
0.957835 | + | 0.287319i | \(0.0927638\pi\) | |||||||
\(108\) | 1.44385 | + | 0.423951i | 0.138934 | + | 0.0407947i | ||||
\(109\) | −2.25241 | − | 15.6658i | −0.215741 | − | 1.50051i | −0.753518 | − | 0.657427i | \(-0.771645\pi\) |
0.537777 | − | 0.843087i | \(-0.319264\pi\) | |||||||
\(110\) | 1.00716 | − | 2.20537i | 0.0960289 | − | 0.210274i | ||||
\(111\) | −1.63511 | + | 11.3724i | −0.155198 | + | 1.07942i | ||||
\(112\) | 3.48229 | + | 2.23793i | 0.329046 | + | 0.211465i | ||||
\(113\) | 8.47022 | + | 9.77515i | 0.796811 | + | 0.919569i | 0.998202 | − | 0.0599420i | \(-0.0190916\pi\) |
−0.201391 | + | 0.979511i | \(0.564546\pi\) | |||||||
\(114\) | 3.37371 | 0.315977 | ||||||||
\(115\) | −6.71247 | − | 4.51011i | −0.625941 | − | 0.420570i | ||||
\(116\) | 10.6983 | 0.993309 | ||||||||
\(117\) | −0.155018 | − | 0.178901i | −0.0143314 | − | 0.0165394i | ||||
\(118\) | 2.04163 | + | 1.31208i | 0.187948 | + | 0.120787i | ||||
\(119\) | −1.38955 | + | 9.66450i | −0.127379 | + | 0.885943i | ||||
\(120\) | −1.72765 | + | 3.78302i | −0.157712 | + | 0.345341i | ||||
\(121\) | 0.971358 | + | 6.75594i | 0.0883053 | + | 0.614177i | ||||
\(122\) | 3.27648 | + | 0.962062i | 0.296639 | + | 0.0871010i | ||||
\(123\) | 6.90008 | − | 4.43441i | 0.622159 | − | 0.399838i | ||||
\(124\) | −4.19204 | − | 9.17928i | −0.376456 | − | 0.824324i | ||||
\(125\) | −11.5789 | + | 3.39987i | −1.03565 | + | 0.304094i | ||||
\(126\) | 1.49727 | − | 1.72794i | 0.133387 | − | 0.153937i | ||||
\(127\) | −3.48534 | + | 4.02229i | −0.309274 | + | 0.356921i | −0.889014 | − | 0.457881i | \(-0.848609\pi\) |
0.579740 | + | 0.814802i | \(0.303154\pi\) | |||||||
\(128\) | −10.1369 | + | 2.97647i | −0.895987 | + | 0.263086i | ||||
\(129\) | 1.19771 | + | 2.62262i | 0.105453 | + | 0.230909i | ||||
\(130\) | 0.236304 | − | 0.151863i | 0.0207252 | − | 0.0133193i | ||||
\(131\) | −4.35715 | − | 1.27937i | −0.380686 | − | 0.111779i | 0.0857904 | − | 0.996313i | \(-0.472658\pi\) |
−0.466476 | + | 0.884534i | \(0.654477\pi\) | |||||||
\(132\) | 0.437558 | + | 3.04328i | 0.0380845 | + | 0.264884i | ||||
\(133\) | −6.47083 | + | 14.1691i | −0.561092 | + | 1.22862i | ||||
\(134\) | 1.49497 | − | 10.3978i | 0.129146 | − | 0.898230i | ||||
\(135\) | −1.41856 | − | 0.911650i | −0.122090 | − | 0.0784624i | ||||
\(136\) | −4.85361 | − | 5.60136i | −0.416194 | − | 0.480313i | ||||
\(137\) | −16.4974 | −1.40947 | −0.704734 | − | 0.709471i | \(-0.748934\pi\) | ||||
−0.704734 | + | 0.709471i | \(0.748934\pi\) | |||||||
\(138\) | −3.37414 | − | 0.0689037i | −0.287226 | − | 0.00586547i | ||||
\(139\) | 3.46582 | 0.293967 | 0.146984 | − | 0.989139i | \(-0.453044\pi\) | ||||
0.146984 | + | 0.989139i | \(0.453044\pi\) | |||||||
\(140\) | −5.39893 | − | 6.23069i | −0.456292 | − | 0.526590i | ||||
\(141\) | −11.1767 | − | 7.18282i | −0.941247 | − | 0.604902i | ||||
\(142\) | 1.34691 | − | 9.36799i | 0.113030 | − | 0.786144i | ||||
\(143\) | 0.200920 | − | 0.439953i | 0.0168018 | − | 0.0367907i | ||||
\(144\) | −0.181313 | − | 1.26106i | −0.0151094 | − | 0.105088i | ||||
\(145\) | −11.5026 | − | 3.37746i | −0.955238 | − | 0.280483i | ||||
\(146\) | −2.63047 | + | 1.69050i | −0.217699 | + | 0.139907i | ||||
\(147\) | 1.47742 | + | 3.23511i | 0.121856 | + | 0.266827i | ||||
\(148\) | 16.5889 | − | 4.87094i | 1.36360 | − | 0.400389i | ||||
\(149\) | −2.00991 | + | 2.31956i | −0.164658 | + | 0.190026i | −0.832082 | − | 0.554652i | \(-0.812851\pi\) |
0.667424 | + | 0.744678i | \(0.267397\pi\) | |||||||
\(150\) | −0.993820 | + | 1.14693i | −0.0811450 | + | 0.0936464i | ||||
\(151\) | −1.81890 | + | 0.534078i | −0.148020 | + | 0.0434627i | −0.354903 | − | 0.934903i | \(-0.615486\pi\) |
0.206883 | + | 0.978366i | \(0.433668\pi\) | |||||||
\(152\) | −4.91194 | − | 10.7557i | −0.398411 | − | 0.872399i | ||||
\(153\) | 2.52807 | − | 1.62469i | 0.204382 | − | 0.131349i | ||||
\(154\) | 4.48228 | + | 1.31611i | 0.361192 | + | 0.106056i | ||||
\(155\) | 1.60929 | + | 11.1928i | 0.129261 | + | 0.899030i | ||||
\(156\) | −0.147977 | + | 0.324025i | −0.0118477 | + | 0.0259428i | ||||
\(157\) | −0.307090 | + | 2.13586i | −0.0245085 | + | 0.170460i | −0.998399 | − | 0.0565561i | \(-0.981988\pi\) |
0.973891 | + | 0.227016i | \(0.0728971\pi\) | |||||||
\(158\) | −1.23823 | − | 0.795763i | −0.0985084 | − | 0.0633075i | ||||
\(159\) | −0.348162 | − | 0.401800i | −0.0276110 | − | 0.0318648i | ||||
\(160\) | 9.82947 | 0.777088 | ||||||||
\(161\) | 6.76105 | − | 14.0388i | 0.532845 | − | 1.10641i | ||||
\(162\) | −0.703704 | −0.0552882 | ||||||||
\(163\) | 7.92140 | + | 9.14179i | 0.620452 | + | 0.716040i | 0.975793 | − | 0.218697i | \(-0.0701806\pi\) |
−0.355341 | + | 0.934737i | \(0.615635\pi\) | |||||||
\(164\) | −10.3832 | − | 6.67291i | −0.810795 | − | 0.521067i | ||||
\(165\) | 0.490316 | − | 3.41022i | 0.0381711 | − | 0.265486i | ||||
\(166\) | −1.88358 | + | 4.12446i | −0.146194 | + | 0.320120i | ||||
\(167\) | 1.87408 | + | 13.0345i | 0.145021 | + | 1.00864i | 0.924219 | + | 0.381864i | \(0.124718\pi\) |
−0.779198 | + | 0.626778i | \(0.784373\pi\) | |||||||
\(168\) | −7.68874 | − | 2.25762i | −0.593199 | − | 0.174179i | ||||
\(169\) | −10.8892 | + | 6.99804i | −0.837627 | + | 0.538310i | ||||
\(170\) | 1.48134 | + | 3.24368i | 0.113613 | + | 0.248779i | ||||
\(171\) | 4.60002 | − | 1.35069i | 0.351772 | − | 0.103290i | ||||
\(172\) | 2.84117 | − | 3.27889i | 0.216637 | − | 0.250013i | ||||
\(173\) | 11.5528 | − | 13.3327i | 0.878346 | − | 1.01367i | −0.121432 | − | 0.992600i | \(-0.538749\pi\) |
0.999778 | − | 0.0210657i | \(-0.00670590\pi\) | |||||||
\(174\) | −4.80028 | + | 1.40949i | −0.363908 | + | 0.106853i | ||||
\(175\) | −2.91079 | − | 6.37374i | −0.220035 | − | 0.481809i | ||||
\(176\) | 2.18984 | − | 1.40732i | 0.165065 | − | 0.106081i | ||||
\(177\) | 3.30904 | + | 0.971623i | 0.248723 | + | 0.0730317i | ||||
\(178\) | 0.251283 | + | 1.74771i | 0.0188345 | + | 0.130997i | ||||
\(179\) | 4.47341 | − | 9.79541i | 0.334359 | − | 0.732143i | −0.665540 | − | 0.746362i | \(-0.731799\pi\) |
0.999899 | + | 0.0142186i | \(0.00452608\pi\) | |||||||
\(180\) | −0.361117 | + | 2.51163i | −0.0269161 | + | 0.187206i | ||||
\(181\) | −1.20016 | − | 0.771298i | −0.0892074 | − | 0.0573301i | 0.495277 | − | 0.868735i | \(-0.335067\pi\) |
−0.584484 | + | 0.811405i | \(0.698703\pi\) | |||||||
\(182\) | 0.354432 | + | 0.409037i | 0.0262723 | + | 0.0303198i | ||||
\(183\) | 4.85262 | 0.358716 | ||||||||
\(184\) | 4.69290 | + | 10.8574i | 0.345965 | + | 0.800415i | ||||
\(185\) | −19.3738 | −1.42439 | ||||||||
\(186\) | 3.09032 | + | 3.56642i | 0.226593 | + | 0.261502i | ||||
\(187\) | 5.16531 | + | 3.31954i | 0.377725 | + | 0.242749i | ||||
\(188\) | −2.84522 | + | 19.7889i | −0.207509 | + | 1.44325i | ||||
\(189\) | 1.34972 | − | 2.95546i | 0.0981774 | − | 0.214978i | ||||
\(190\) | 0.809613 | + | 5.63098i | 0.0587355 | + | 0.408514i | ||||
\(191\) | 13.3309 | + | 3.91430i | 0.964590 | + | 0.283229i | 0.725849 | − | 0.687854i | \(-0.241447\pi\) |
0.238741 | + | 0.971083i | \(0.423265\pi\) | |||||||
\(192\) | 1.30730 | − | 0.840153i | 0.0943466 | − | 0.0606329i | ||||
\(193\) | 3.36305 | + | 7.36404i | 0.242077 | + | 0.530075i | 0.991203 | − | 0.132353i | \(-0.0422532\pi\) |
−0.749125 | + | 0.662428i | \(0.769526\pi\) | |||||||
\(194\) | 1.22539 | − | 0.359808i | 0.0879780 | − | 0.0258327i | ||||
\(195\) | 0.261398 | − | 0.301669i | 0.0187191 | − | 0.0216030i | ||||
\(196\) | 3.50470 | − | 4.04464i | 0.250336 | − | 0.288903i | ||||
\(197\) | −1.70543 | + | 0.500760i | −0.121507 | + | 0.0356777i | −0.341921 | − | 0.939729i | \(-0.611077\pi\) |
0.220414 | + | 0.975406i | \(0.429259\pi\) | |||||||
\(198\) | −0.597281 | − | 1.30786i | −0.0424469 | − | 0.0929458i | ||||
\(199\) | 5.53721 | − | 3.55855i | 0.392522 | − | 0.252259i | −0.329461 | − | 0.944169i | \(-0.606867\pi\) |
0.721983 | + | 0.691910i | \(0.243231\pi\) | |||||||
\(200\) | 5.10345 | + | 1.49851i | 0.360868 | + | 0.105960i | ||||
\(201\) | −2.12443 | − | 14.7758i | −0.149846 | − | 1.04220i | ||||
\(202\) | 0.701408 | − | 1.53587i | 0.0493509 | − | 0.108063i | ||||
\(203\) | 3.28734 | − | 22.8639i | 0.230726 | − | 1.60473i | ||||
\(204\) | −3.80424 | − | 2.44484i | −0.266350 | − | 0.171173i | ||||
\(205\) | 9.05724 | + | 10.4526i | 0.632585 | + | 0.730042i | ||||
\(206\) | −2.89229 | −0.201515 | ||||||||
\(207\) | −4.62819 | + | 1.25691i | −0.321682 | + | 0.0873613i | ||||
\(208\) | 0.301587 | 0.0209113 | ||||||||
\(209\) | 6.41466 | + | 7.40291i | 0.443711 | + | 0.512070i | ||||
\(210\) | 3.24337 | + | 2.08439i | 0.223814 | + | 0.143836i | ||||
\(211\) | −1.94389 | + | 13.5201i | −0.133823 | + | 0.930760i | 0.806683 | + | 0.590984i | \(0.201260\pi\) |
−0.940506 | + | 0.339776i | \(0.889649\pi\) | |||||||
\(212\) | −0.332348 | + | 0.727741i | −0.0228258 | + | 0.0499814i | ||||
\(213\) | −1.91403 | − | 13.3124i | −0.131147 | − | 0.912150i | ||||
\(214\) | 9.08584 | + | 2.66784i | 0.621095 | + | 0.182370i | ||||
\(215\) | −4.08993 | + | 2.62844i | −0.278931 | + | 0.179258i | ||||
\(216\) | 1.02456 | + | 2.24346i | 0.0697122 | + | 0.152648i | ||||
\(217\) | −20.9057 | + | 6.13848i | −1.41917 | + | 0.416707i | ||||
\(218\) | 7.29349 | − | 8.41714i | 0.493978 | − | 0.570081i | ||||
\(219\) | −2.90981 | + | 3.35810i | −0.196627 | + | 0.226920i | ||||
\(220\) | −4.97447 | + | 1.46064i | −0.335379 | + | 0.0984761i | ||||
\(221\) | 0.295514 | + | 0.647086i | 0.0198785 | + | 0.0435277i | ||||
\(222\) | −6.80164 | + | 4.37115i | −0.456496 | + | 0.293372i | ||||
\(223\) | −10.9392 | − | 3.21204i | −0.732542 | − | 0.215094i | −0.105874 | − | 0.994380i | \(-0.533764\pi\) |
−0.626669 | + | 0.779286i | \(0.715582\pi\) | |||||||
\(224\) | 2.69539 | + | 18.7468i | 0.180093 | + | 1.25257i | ||||
\(225\) | −0.895882 | + | 1.96171i | −0.0597255 | + | 0.130781i | ||||
\(226\) | −1.29535 | + | 9.00933i | −0.0861651 | + | 0.599292i | ||||
\(227\) | −1.33704 | − | 0.859266i | −0.0887427 | − | 0.0570315i | 0.495517 | − | 0.868598i | \(-0.334979\pi\) |
−0.584260 | + | 0.811567i | \(0.698615\pi\) | |||||||
\(228\) | −4.72439 | − | 5.45224i | −0.312880 | − | 0.361083i | ||||
\(229\) | 26.2296 | 1.73330 | 0.866650 | − | 0.498916i | \(-0.166268\pi\) | ||||
0.866650 | + | 0.498916i | \(0.166268\pi\) | |||||||
\(230\) | −0.694711 | − | 5.64824i | −0.0458079 | − | 0.372434i | ||||
\(231\) | 6.63845 | 0.436778 | ||||||||
\(232\) | 11.4825 | + | 13.2515i | 0.753863 | + | 0.870005i | ||||
\(233\) | −8.36970 | − | 5.37888i | −0.548317 | − | 0.352382i | 0.236967 | − | 0.971518i | \(-0.423847\pi\) |
−0.785284 | + | 0.619136i | \(0.787483\pi\) | |||||||
\(234\) | 0.0237069 | − | 0.164885i | 0.00154977 | − | 0.0107789i | ||||
\(235\) | 9.30653 | − | 20.3785i | 0.607091 | − | 1.32934i | ||||
\(236\) | −0.738567 | − | 5.13685i | −0.0480766 | − | 0.334380i | ||||
\(237\) | −2.00690 | − | 0.589280i | −0.130362 | − | 0.0382779i | ||||
\(238\) | −5.78015 | + | 3.71468i | −0.374672 | + | 0.240787i | ||||
\(239\) | 4.79659 | + | 10.5031i | 0.310266 | + | 0.679387i | 0.998957 | − | 0.0456678i | \(-0.0145416\pi\) |
−0.688691 | + | 0.725055i | \(0.741814\pi\) | |||||||
\(240\) | 2.06129 | − | 0.605250i | 0.133056 | − | 0.0390687i | ||||
\(241\) | 3.59998 | − | 4.15459i | 0.231895 | − | 0.267621i | −0.627862 | − | 0.778325i | \(-0.716070\pi\) |
0.859757 | + | 0.510704i | \(0.170615\pi\) | |||||||
\(242\) | −3.14534 | + | 3.62992i | −0.202190 | + | 0.233340i | ||||
\(243\) | −0.959493 | + | 0.281733i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | −3.03345 | − | 6.64233i | −0.194197 | − | 0.425232i | ||||
\(245\) | −5.04510 | + | 3.24229i | −0.322319 | + | 0.207142i | ||||
\(246\) | 5.53808 | + | 1.62613i | 0.353095 | + | 0.103678i | ||||
\(247\) | 0.161511 | + | 1.12333i | 0.0102767 | + | 0.0714760i | ||||
\(248\) | 6.87068 | − | 15.0447i | 0.436288 | − | 0.955338i | ||||
\(249\) | −0.916984 | + | 6.37777i | −0.0581115 | + | 0.404175i | ||||
\(250\) | −7.14402 | − | 4.59118i | −0.451828 | − | 0.290372i | ||||
\(251\) | 13.4416 | + | 15.5124i | 0.848425 | + | 0.979135i | 0.999957 | − | 0.00931785i | \(-0.00296601\pi\) |
−0.151532 | + | 0.988452i | \(0.548421\pi\) | |||||||
\(252\) | −4.88921 | −0.307991 | ||||||||
\(253\) | −6.26428 | − | 7.53487i | −0.393832 | − | 0.473713i | ||||
\(254\) | −3.74529 | −0.235001 | ||||||||
\(255\) | 3.31842 | + | 3.82966i | 0.207807 | + | 0.239822i | ||||
\(256\) | −8.86896 | − | 5.69973i | −0.554310 | − | 0.356233i | ||||
\(257\) | 2.47969 | − | 17.2466i | 0.154679 | − | 1.07581i | −0.753566 | − | 0.657373i | \(-0.771668\pi\) |
0.908244 | − | 0.418441i | \(-0.137423\pi\) | |||||||
\(258\) | −0.842834 | + | 1.84555i | −0.0524725 | + | 0.114899i | ||||
\(259\) | −5.31260 | − | 36.9499i | −0.330109 | − | 2.29596i | ||||
\(260\) | −0.576334 | − | 0.169227i | −0.0357427 | − | 0.0104950i | ||||
\(261\) | −5.98083 | + | 3.84364i | −0.370204 | + | 0.237916i | ||||
\(262\) | −1.32749 | − | 2.90681i | −0.0820129 | − | 0.179583i | ||||
\(263\) | 18.4511 | − | 5.41773i | 1.13774 | − | 0.334072i | 0.341997 | − | 0.939701i | \(-0.388897\pi\) |
0.795747 | + | 0.605630i | \(0.207079\pi\) | |||||||
\(264\) | −3.29996 | + | 3.80836i | −0.203099 | + | 0.234388i | ||||
\(265\) | 0.587084 | − | 0.677531i | 0.0360643 | − | 0.0416204i | ||||
\(266\) | −10.5174 | + | 3.08820i | −0.644865 | + | 0.189349i | ||||
\(267\) | 1.04233 | + | 2.28239i | 0.0637896 | + | 0.139680i | ||||
\(268\) | −18.8973 | + | 12.1445i | −1.15433 | + | 0.741846i | ||||
\(269\) | −23.0209 | − | 6.75956i | −1.40361 | − | 0.412138i | −0.509689 | − | 0.860359i | \(-0.670240\pi\) |
−0.893923 | + | 0.448221i | \(0.852058\pi\) | |||||||
\(270\) | −0.168873 | − | 1.17454i | −0.0102773 | − | 0.0714800i | ||||
\(271\) | −9.38523 | + | 20.5508i | −0.570112 | + | 1.24837i | 0.376626 | + | 0.926365i | \(0.377084\pi\) |
−0.946738 | + | 0.322005i | \(0.895643\pi\) | |||||||
\(272\) | −0.544868 | + | 3.78964i | −0.0330374 | + | 0.229780i | ||||
\(273\) | 0.647025 | + | 0.415818i | 0.0391597 | + | 0.0251664i | ||||
\(274\) | −7.60247 | − | 8.77372i | −0.459282 | − | 0.530040i | ||||
\(275\) | −4.40631 | −0.265711 | ||||||||
\(276\) | 4.61364 | + | 5.54942i | 0.277708 | + | 0.334036i | ||||
\(277\) | 2.08852 | 0.125487 | 0.0627435 | − | 0.998030i | \(-0.480015\pi\) | ||||
0.0627435 | + | 0.998030i | \(0.480015\pi\) | |||||||
\(278\) | 1.59715 | + | 1.84321i | 0.0957907 | + | 0.110548i | ||||
\(279\) | 5.64145 | + | 3.62554i | 0.337745 | + | 0.217055i | ||||
\(280\) | 1.92302 | − | 13.3749i | 0.114922 | − | 0.799302i | ||||
\(281\) | 8.14441 | − | 17.8338i | 0.485855 | − | 1.06387i | −0.494958 | − | 0.868917i | \(-0.664816\pi\) |
0.980812 | − | 0.194956i | \(-0.0624563\pi\) | |||||||
\(282\) | −1.33054 | − | 9.25407i | −0.0792322 | − | 0.551072i | ||||
\(283\) | −4.82108 | − | 1.41560i | −0.286583 | − | 0.0841484i | 0.135282 | − | 0.990807i | \(-0.456806\pi\) |
−0.421865 | + | 0.906659i | \(0.638624\pi\) | |||||||
\(284\) | −17.0257 | + | 10.9418i | −1.01029 | + | 0.649274i | ||||
\(285\) | 3.35830 | + | 7.35365i | 0.198928 | + | 0.435593i | ||||
\(286\) | 0.326567 | − | 0.0958888i | 0.0193103 | − | 0.00567002i | ||||
\(287\) | −17.4516 | + | 20.1403i | −1.03014 | + | 1.18884i | ||||
\(288\) | 3.81733 | − | 4.40543i | 0.224938 | − | 0.259593i | ||||
\(289\) | 7.64642 | − | 2.24519i | 0.449789 | − | 0.132070i | ||||
\(290\) | −3.50450 | − | 7.67378i | −0.205791 | − | 0.450620i | ||||
\(291\) | 1.52676 | − | 0.981188i | 0.0895001 | − | 0.0575182i | ||||
\(292\) | 6.41559 | + | 1.88379i | 0.375444 | + | 0.110240i | ||||
\(293\) | −0.420981 | − | 2.92798i | −0.0245940 | − | 0.171055i | 0.973822 | − | 0.227310i | \(-0.0729930\pi\) |
−0.998416 | + | 0.0562552i | \(0.982084\pi\) | |||||||
\(294\) | −1.03967 | + | 2.27656i | −0.0606348 | + | 0.132772i | ||||
\(295\) | −0.827619 | + | 5.75621i | −0.0481858 | + | 0.335140i | ||||
\(296\) | 23.8384 | + | 15.3200i | 1.38558 | + | 0.890457i | ||||
\(297\) | −1.33800 | − | 1.54413i | −0.0776385 | − | 0.0895996i | ||||
\(298\) | −2.15982 | −0.125115 | ||||||||
\(299\) | −0.138589 | − | 1.12678i | −0.00801481 | − | 0.0651631i | ||||
\(300\) | 3.24525 | 0.187364 | ||||||||
\(301\) | −6.13449 | − | 7.07958i | −0.353586 | − | 0.408060i | ||||
\(302\) | −1.12224 | − | 0.721218i | −0.0645775 | − | 0.0415014i | ||||
\(303\) | 0.341467 | − | 2.37495i | 0.0196168 | − | 0.136438i | ||||
\(304\) | −2.53734 | + | 5.55599i | −0.145526 | + | 0.318658i | ||||
\(305\) | 1.16452 | + | 8.09939i | 0.0666800 | + | 0.463770i | ||||
\(306\) | 2.02906 | + | 0.595785i | 0.115993 | + | 0.0340588i | ||||
\(307\) | 19.9296 | − | 12.8079i | 1.13744 | − | 0.730988i | 0.170340 | − | 0.985385i | \(-0.445513\pi\) |
0.967100 | + | 0.254397i | \(0.0818770\pi\) | |||||||
\(308\) | −4.14981 | − | 9.08681i | −0.236457 | − | 0.517769i | ||||
\(309\) | −3.94360 | + | 1.15795i | −0.224344 | + | 0.0658733i | ||||
\(310\) | −5.21101 | + | 6.01383i | −0.295966 | + | 0.341563i | ||||
\(311\) | −17.1662 | + | 19.8109i | −0.973409 | + | 1.12337i | 0.0189294 | + | 0.999821i | \(0.493974\pi\) |
−0.992338 | + | 0.123553i | \(0.960571\pi\) | |||||||
\(312\) | −0.560182 | + | 0.164484i | −0.0317141 | + | 0.00931209i | ||||
\(313\) | −2.75232 | − | 6.02675i | −0.155570 | − | 0.340652i | 0.815758 | − | 0.578393i | \(-0.196320\pi\) |
−0.971328 | + | 0.237742i | \(0.923593\pi\) | |||||||
\(314\) | −1.27742 | + | 0.820947i | −0.0720889 | + | 0.0463287i | ||||
\(315\) | 5.25680 | + | 1.54353i | 0.296187 | + | 0.0869683i | ||||
\(316\) | 0.447934 | + | 3.11545i | 0.0251983 | + | 0.175258i | ||||
\(317\) | 4.61225 | − | 10.0994i | 0.259050 | − | 0.567240i | −0.734761 | − | 0.678326i | \(-0.762706\pi\) |
0.993811 | + | 0.111086i | \(0.0354330\pi\) | |||||||
\(318\) | 0.0532442 | − | 0.370321i | 0.00298579 | − | 0.0207666i | ||||
\(319\) | −12.2199 | − | 7.85326i | −0.684183 | − | 0.439698i | ||||
\(320\) | 1.71600 | + | 1.98037i | 0.0959275 | + | 0.110706i | ||||
\(321\) | 13.4565 | 0.751070 | ||||||||
\(322\) | 10.5819 | − | 2.87379i | 0.589703 | − | 0.160150i | ||||
\(323\) | −14.4072 | −0.801639 | ||||||||
\(324\) | 0.985435 | + | 1.13725i | 0.0547464 | + | 0.0631807i | ||||
\(325\) | −0.429467 | − | 0.276002i | −0.0238225 | − | 0.0153098i | ||||
\(326\) | −1.21142 | + | 8.42559i | −0.0670942 | + | 0.466650i | ||||
\(327\) | 6.57474 | − | 14.3967i | 0.363584 | − | 0.796138i | ||||
\(328\) | −2.87893 | − | 20.0234i | −0.158962 | − | 1.10561i | ||||
\(329\) | 41.4179 | + | 12.1614i | 2.28344 | + | 0.670479i | ||||
\(330\) | 2.03959 | − | 1.31077i | 0.112276 | − | 0.0721552i | ||||
\(331\) | 9.32901 | + | 20.4277i | 0.512769 | + | 1.12281i | 0.972105 | + | 0.234545i | \(0.0753599\pi\) |
−0.459337 | + | 0.888262i | \(0.651913\pi\) | |||||||
\(332\) | 9.30320 | − | 2.73167i | 0.510580 | − | 0.149920i | ||||
\(333\) | −7.52394 | + | 8.68309i | −0.412310 | + | 0.475831i | ||||
\(334\) | −6.06844 | + | 7.00336i | −0.332050 | + | 0.383207i | ||||
\(335\) | 24.1521 | − | 7.09169i | 1.31957 | − | 0.387460i | ||||
\(336\) | 1.71957 | + | 3.76534i | 0.0938104 | + | 0.205416i | ||||
\(337\) | −29.3824 | + | 18.8830i | −1.60056 | + | 1.02862i | −0.633615 | + | 0.773648i | \(0.718430\pi\) |
−0.966949 | + | 0.254972i | \(0.917934\pi\) | |||||||
\(338\) | −8.73975 | − | 2.56622i | −0.475380 | − | 0.139584i | ||||
\(339\) | 1.84075 | + | 12.8027i | 0.0999760 | + | 0.695349i | ||||
\(340\) | 3.16769 | − | 6.93628i | 0.171792 | − | 0.376173i | ||||
\(341\) | −1.94994 | + | 13.5621i | −0.105595 | + | 0.734430i | ||||
\(342\) | 2.83815 | + | 1.82397i | 0.153469 | + | 0.0986288i | ||||
\(343\) | 7.32670 | + | 8.45547i | 0.395605 | + | 0.456552i | ||||
\(344\) | 7.11087 | 0.383393 | ||||||||
\(345\) | −3.20854 | − | 7.42318i | −0.172742 | − | 0.399651i | ||||
\(346\) | 12.4145 | 0.667409 | ||||||||
\(347\) | 6.72501 | + | 7.76108i | 0.361018 | + | 0.416637i | 0.906980 | − | 0.421173i | \(-0.138381\pi\) |
−0.545963 | + | 0.837809i | \(0.683836\pi\) | |||||||
\(348\) | 8.99995 | + | 5.78392i | 0.482448 | + | 0.310050i | ||||
\(349\) | 4.30303 | − | 29.9282i | 0.230336 | − | 1.60202i | −0.466319 | − | 0.884616i | \(-0.654420\pi\) |
0.696655 | − | 0.717406i | \(-0.254671\pi\) | |||||||
\(350\) | 2.04833 | − | 4.48523i | 0.109488 | − | 0.239745i | ||||
\(351\) | −0.0336887 | − | 0.234310i | −0.00179817 | − | 0.0125065i | ||||
\(352\) | 11.4277 | + | 3.35548i | 0.609099 | + | 0.178848i | ||||
\(353\) | −2.65533 | + | 1.70648i | −0.141329 | + | 0.0908266i | −0.609395 | − | 0.792867i | \(-0.708587\pi\) |
0.468066 | + | 0.883694i | \(0.344951\pi\) | |||||||
\(354\) | 1.00817 | + | 2.20758i | 0.0535835 | + | 0.117332i | ||||
\(355\) | 21.7601 | − | 6.38934i | 1.15491 | − | 0.339111i | ||||
\(356\) | 2.47259 | − | 2.85352i | 0.131047 | − | 0.151236i | ||||
\(357\) | −6.39398 | + | 7.37905i | −0.338405 | + | 0.390541i | ||||
\(358\) | 7.27091 | − | 2.13493i | 0.384280 | − | 0.112835i | ||||
\(359\) | −9.08412 | − | 19.8915i | −0.479442 | − | 1.04983i | −0.982617 | − | 0.185646i | \(-0.940562\pi\) |
0.503175 | − | 0.864184i | \(-0.332165\pi\) | |||||||
\(360\) | −3.49864 | + | 2.24844i | −0.184395 | + | 0.118503i | ||||
\(361\) | −3.82312 | − | 1.12257i | −0.201217 | − | 0.0590826i | ||||
\(362\) | −0.142874 | − | 0.993711i | −0.00750930 | − | 0.0522283i | ||||
\(363\) | −2.83538 | + | 6.20862i | −0.148819 | + | 0.325868i | ||||
\(364\) | 0.164711 | − | 1.14559i | 0.00863322 | − | 0.0600453i | ||||
\(365\) | −6.30322 | − | 4.05083i | −0.329925 | − | 0.212030i | ||||
\(366\) | 2.23622 | + | 2.58074i | 0.116889 | + | 0.134897i | ||||
\(367\) | −8.13884 | −0.424844 | −0.212422 | − | 0.977178i | \(-0.568135\pi\) | ||||
−0.212422 | + | 0.977178i | \(0.568135\pi\) | |||||||
\(368\) | 2.65114 | − | 5.50488i | 0.138200 | − | 0.286962i | ||||
\(369\) | 8.20214 | 0.426987 | ||||||||
\(370\) | −8.92801 | − | 10.3035i | −0.464145 | − | 0.535652i | ||||
\(371\) | 1.45318 | + | 0.933901i | 0.0754453 | + | 0.0484857i | ||||
\(372\) | 1.43613 | − | 9.98849i | 0.0744597 | − | 0.517879i | ||||
\(373\) | 1.83693 | − | 4.02231i | 0.0951124 | − | 0.208267i | −0.856096 | − | 0.516818i | \(-0.827117\pi\) |
0.951208 | + | 0.308550i | \(0.0998438\pi\) | |||||||
\(374\) | 0.614907 | + | 4.27677i | 0.0317961 | + | 0.221147i | ||||
\(375\) | −11.5789 | − | 3.39987i | −0.597932 | − | 0.175569i | ||||
\(376\) | −27.5655 | + | 17.7153i | −1.42158 | + | 0.913596i | ||||
\(377\) | −0.699118 | − | 1.53086i | −0.0360064 | − | 0.0788430i | ||||
\(378\) | 2.19377 | − | 0.644150i | 0.112836 | − | 0.0331315i | ||||
\(379\) | −6.90798 | + | 7.97223i | −0.354839 | + | 0.409506i | −0.904904 | − | 0.425616i | \(-0.860057\pi\) |
0.550065 | + | 0.835122i | \(0.314603\pi\) | |||||||
\(380\) | 7.96645 | − | 9.19378i | 0.408670 | − | 0.471631i | ||||
\(381\) | −5.10667 | + | 1.49945i | −0.261623 | + | 0.0768193i | ||||
\(382\) | 4.06153 | + | 8.89351i | 0.207806 | + | 0.455032i | ||||
\(383\) | −4.54448 | + | 2.92056i | −0.232212 | + | 0.149234i | −0.651573 | − | 0.758586i | \(-0.725891\pi\) |
0.419361 | + | 0.907820i | \(0.362254\pi\) | |||||||
\(384\) | −10.1369 | − | 2.97647i | −0.517298 | − | 0.151893i | ||||
\(385\) | 1.59308 | + | 11.0801i | 0.0811906 | + | 0.564693i | ||||
\(386\) | −2.36659 | + | 5.18211i | −0.120456 | + | 0.263762i | ||||
\(387\) | −0.410317 | + | 2.85382i | −0.0208576 | + | 0.145068i | ||||
\(388\) | −2.29747 | − | 1.47649i | −0.116636 | − | 0.0749575i | ||||
\(389\) | −1.04941 | − | 1.21108i | −0.0532070 | − | 0.0614042i | 0.728522 | − | 0.685022i | \(-0.240208\pi\) |
−0.781729 | + | 0.623618i | \(0.785662\pi\) | |||||||
\(390\) | 0.280895 | 0.0142237 | ||||||||
\(391\) | 14.4091 | + | 0.294249i | 0.728698 | + | 0.0148808i | ||||
\(392\) | 8.77156 | 0.443030 | ||||||||
\(393\) | −2.97378 | − | 3.43193i | −0.150008 | − | 0.173118i | ||||
\(394\) | −1.05223 | − | 0.676225i | −0.0530104 | − | 0.0340677i | ||||
\(395\) | 0.501943 | − | 3.49109i | 0.0252555 | − | 0.175656i | ||||
\(396\) | −1.27723 | + | 2.79673i | −0.0641830 | + | 0.140541i | ||||
\(397\) | 0.992549 | + | 6.90333i | 0.0498146 | + | 0.346468i | 0.999452 | + | 0.0331158i | \(0.0105430\pi\) |
−0.949637 | + | 0.313352i | \(0.898548\pi\) | |||||||
\(398\) | 4.44422 | + | 1.30494i | 0.222769 | + | 0.0654108i | ||||
\(399\) | −13.1040 | + | 8.42145i | −0.656022 | + | 0.421600i | ||||
\(400\) | −1.14138 | − | 2.49927i | −0.0570688 | − | 0.124963i | ||||
\(401\) | 0.916430 | − | 0.269088i | 0.0457643 | − | 0.0134376i | −0.258770 | − | 0.965939i | \(-0.583317\pi\) |
0.304535 | + | 0.952501i | \(0.401499\pi\) | |||||||
\(402\) | 6.87911 | − | 7.93891i | 0.343099 | − | 0.395957i | ||||
\(403\) | −1.03955 | + | 1.19971i | −0.0517839 | + | 0.0597618i | ||||
\(404\) | −3.46433 | + | 1.01722i | −0.172357 | + | 0.0506085i | ||||
\(405\) | −0.700489 | − | 1.53386i | −0.0348076 | − | 0.0762180i | ||||
\(406\) | 13.6745 | − | 8.78806i | 0.678654 | − | 0.436144i | ||||
\(407\) | −22.5240 | − | 6.61363i | −1.11647 | − | 0.327826i | ||||
\(408\) | −1.05479 | − | 7.33623i | −0.0522199 | − | 0.363197i | ||||
\(409\) | 6.47056 | − | 14.1686i | 0.319949 | − | 0.700590i | −0.679504 | − | 0.733672i | \(-0.737805\pi\) |
0.999453 | + | 0.0330820i | \(0.0105323\pi\) | |||||||
\(410\) | −1.38512 | + | 9.63371i | −0.0684061 | + | 0.475775i | ||||
\(411\) | −13.8785 | − | 8.91917i | −0.684576 | − | 0.439950i | ||||
\(412\) | 4.05023 | + | 4.67421i | 0.199540 | + | 0.230282i | ||||
\(413\) | −11.2052 | −0.551373 | ||||||||
\(414\) | −2.80126 | − | 1.88216i | −0.137674 | − | 0.0925033i | ||||
\(415\) | −10.8650 | −0.533344 | ||||||||
\(416\) | 0.903636 | + | 1.04285i | 0.0443044 | + | 0.0511300i | ||||
\(417\) | 2.91564 | + | 1.87377i | 0.142779 | + | 0.0917587i | ||||
\(418\) | −0.980990 | + | 6.82294i | −0.0479818 | + | 0.333721i | ||||
\(419\) | −12.6482 | + | 27.6957i | −0.617905 | + | 1.35302i | 0.299128 | + | 0.954213i | \(0.403304\pi\) |
−0.917033 | + | 0.398811i | \(0.869423\pi\) | |||||||
\(420\) | −1.17330 | − | 8.16047i | −0.0572511 | − | 0.398190i | ||||
\(421\) | 23.2692 | + | 6.83246i | 1.13407 | + | 0.332993i | 0.794307 | − | 0.607517i | \(-0.207834\pi\) |
0.339765 | + | 0.940510i | \(0.389652\pi\) | |||||||
\(422\) | −8.08610 | + | 5.19662i | −0.393625 | + | 0.252968i | ||||
\(423\) | −5.51910 | − | 12.0851i | −0.268348 | − | 0.587600i | ||||
\(424\) | −1.25813 | + | 0.369422i | −0.0611004 | + | 0.0179407i | ||||
\(425\) | 4.24404 | − | 4.89789i | 0.205866 | − | 0.237583i | ||||
\(426\) | 6.19781 | − | 7.15266i | 0.300285 | − | 0.346547i | ||||
\(427\) | −15.1279 | + | 4.44194i | −0.732089 | + | 0.214961i | ||||
\(428\) | −8.41190 | − | 18.4195i | −0.406605 | − | 0.890340i | ||||
\(429\) | 0.406881 | − | 0.261487i | 0.0196444 | − | 0.0126247i | ||||
\(430\) | −3.28262 | − | 0.963865i | −0.158302 | − | 0.0464817i | ||||
\(431\) | −1.38617 | − | 9.64102i | −0.0667694 | − | 0.464392i | −0.995586 | − | 0.0938521i | \(-0.970082\pi\) |
0.928817 | − | 0.370539i | \(-0.120827\pi\) | |||||||
\(432\) | 0.529249 | − | 1.15889i | 0.0254635 | − | 0.0557573i | ||||
\(433\) | 0.888425 | − | 6.17913i | 0.0426950 | − | 0.296950i | −0.957275 | − | 0.289180i | \(-0.906617\pi\) |
0.999970 | − | 0.00777039i | \(-0.00247342\pi\) | |||||||
\(434\) | −12.8986 | − | 8.28940i | −0.619150 | − | 0.397904i | ||||
\(435\) | −7.85060 | − | 9.06007i | −0.376407 | − | 0.434397i | ||||
\(436\) | −23.8164 | −1.14060 | ||||||||
\(437\) | 21.9241 | + | 6.92673i | 1.04877 | + | 0.331351i | ||||
\(438\) | −3.12684 | −0.149406 | ||||||||
\(439\) | 10.9508 | + | 12.6379i | 0.522655 | + | 0.603176i | 0.954294 | − | 0.298871i | \(-0.0966099\pi\) |
−0.431639 | + | 0.902047i | \(0.642064\pi\) | |||||||
\(440\) | −7.14836 | − | 4.59397i | −0.340785 | − | 0.219009i | ||||
\(441\) | −0.506143 | + | 3.52030i | −0.0241021 | + | 0.167634i | ||||
\(442\) | −0.207955 | + | 0.455357i | −0.00989140 | + | 0.0216591i | ||||
\(443\) | −4.32524 | − | 30.0827i | −0.205498 | − | 1.42927i | −0.787615 | − | 0.616168i | \(-0.788684\pi\) |
0.582117 | − | 0.813105i | \(-0.302225\pi\) | |||||||
\(444\) | 16.5889 | + | 4.87094i | 0.787274 | + | 0.231164i | ||||
\(445\) | −3.55934 | + | 2.28745i | −0.168729 | + | 0.108436i | ||||
\(446\) | −3.33285 | − | 7.29792i | −0.157815 | − | 0.345567i | ||||
\(447\) | −2.94489 | + | 0.864698i | −0.139289 | + | 0.0408988i | ||||
\(448\) | −3.30643 | + | 3.81582i | −0.156214 | + | 0.180280i | ||||
\(449\) | −11.2761 | + | 13.0133i | −0.532153 | + | 0.614137i | −0.956632 | − | 0.291301i | \(-0.905912\pi\) |
0.424478 | + | 0.905438i | \(0.360457\pi\) | |||||||
\(450\) | −1.45613 | + | 0.427559i | −0.0686427 | + | 0.0201553i | ||||
\(451\) | 6.96171 | + | 15.2440i | 0.327814 | + | 0.717813i | ||||
\(452\) | 16.3739 | − | 10.5228i | 0.770162 | − | 0.494953i | ||||
\(453\) | −1.81890 | − | 0.534078i | −0.0854595 | − | 0.0250932i | ||||
\(454\) | −0.159169 | − | 1.10705i | −0.00747018 | − | 0.0519562i | ||||
\(455\) | −0.538760 | + | 1.17972i | −0.0252575 | + | 0.0553062i | ||||
\(456\) | 1.68276 | − | 11.7038i | 0.0788023 | − | 0.548082i | ||||
\(457\) | −9.70917 | − | 6.23971i | −0.454176 | − | 0.291881i | 0.293483 | − | 0.955964i | \(-0.405186\pi\) |
−0.747659 | + | 0.664083i | \(0.768822\pi\) | |||||||
\(458\) | 12.0873 | + | 13.9495i | 0.564804 | + | 0.651819i | ||||
\(459\) | 3.00512 | 0.140267 | ||||||||
\(460\) | −8.15524 | + | 9.03225i | −0.380240 | + | 0.421131i | ||||
\(461\) | −36.3205 | −1.69162 | −0.845808 | − | 0.533488i | \(-0.820881\pi\) | ||||
−0.845808 | + | 0.533488i | \(0.820881\pi\) | |||||||
\(462\) | 3.05918 | + | 3.53049i | 0.142326 | + | 0.164253i | ||||
\(463\) | −12.4043 | − | 7.97178i | −0.576478 | − | 0.370480i | 0.219677 | − | 0.975573i | \(-0.429500\pi\) |
−0.796155 | + | 0.605093i | \(0.793136\pi\) | |||||||
\(464\) | 1.28903 | − | 8.96539i | 0.0598417 | − | 0.416208i | ||||
\(465\) | −4.69749 | + | 10.2861i | −0.217841 | + | 0.477005i | ||||
\(466\) | −0.996376 | − | 6.92995i | −0.0461562 | − | 0.321024i | ||||
\(467\) | 7.78126 | + | 2.28478i | 0.360074 | + | 0.105727i | 0.456765 | − | 0.889587i | \(-0.349008\pi\) |
−0.0966917 | + | 0.995314i | \(0.530826\pi\) | |||||||
\(468\) | −0.299668 | + | 0.192585i | −0.0138521 | + | 0.00890223i | ||||
\(469\) | 20.1482 | + | 44.1183i | 0.930356 | + | 2.03719i | ||||
\(470\) | 15.1265 | − | 4.44153i | 0.697732 | − | 0.204872i | ||||
\(471\) | −1.41307 | + | 1.63077i | −0.0651110 | + | 0.0751421i | ||||
\(472\) | 5.57010 | − | 6.42824i | 0.256385 | − | 0.295884i | ||||
\(473\) | −5.65221 | + | 1.65964i | −0.259889 | + | 0.0763102i | ||||
\(474\) | −0.611445 | − | 1.33888i | −0.0280846 | − | 0.0614966i | ||||
\(475\) | 8.69788 | − | 5.58979i | 0.399086 | − | 0.256477i | ||||
\(476\) | 14.0975 | + | 4.13941i | 0.646160 | + | 0.189730i | ||||
\(477\) | −0.0756628 | − | 0.526246i | −0.00346436 | − | 0.0240952i | ||||
\(478\) | −3.37538 | + | 7.39105i | −0.154386 | + | 0.338059i | ||||
\(479\) | 4.40254 | − | 30.6204i | 0.201157 | − | 1.39908i | −0.599700 | − | 0.800225i | \(-0.704714\pi\) |
0.800858 | − | 0.598855i | \(-0.204377\pi\) | |||||||
\(480\) | 8.26907 | + | 5.31421i | 0.377430 | + | 0.242559i | ||||
\(481\) | −1.78106 | − | 2.05546i | −0.0812095 | − | 0.0937208i | ||||
\(482\) | 3.86848 | 0.176205 | ||||||||
\(483\) | 13.2777 | − | 8.15489i | 0.604156 | − | 0.371060i | ||||
\(484\) | 10.2709 | 0.466859 | ||||||||
\(485\) | 2.00406 | + | 2.31281i | 0.0909999 | + | 0.105019i | ||||
\(486\) | −0.591994 | − | 0.380451i | −0.0268534 | − | 0.0172576i | ||||
\(487\) | −2.25517 | + | 15.6850i | −0.102191 | + | 0.710757i | 0.872729 | + | 0.488205i | \(0.162348\pi\) |
−0.974921 | + | 0.222553i | \(0.928561\pi\) | |||||||
\(488\) | 4.97178 | − | 10.8867i | 0.225062 | − | 0.492816i | ||||
\(489\) | 1.72149 | + | 11.9732i | 0.0778483 | + | 0.541447i | ||||
\(490\) | −4.04925 | − | 1.18897i | −0.182926 | − | 0.0537120i | ||||
\(491\) | 0.632340 | − | 0.406380i | 0.0285371 | − | 0.0183397i | −0.526294 | − | 0.850302i | \(-0.676419\pi\) |
0.554832 | + | 0.831963i | \(0.312783\pi\) | |||||||
\(492\) | −5.12730 | − | 11.2272i | −0.231156 | − | 0.506162i | ||||
\(493\) | 20.4993 | − | 6.01913i | 0.923241 | − | 0.271088i | ||||
\(494\) | −0.522987 | + | 0.603559i | −0.0235303 | + | 0.0271554i | ||||
\(495\) | 2.25619 | − | 2.60378i | 0.101408 | − | 0.117031i | ||||
\(496\) | −8.19755 | + | 2.40702i | −0.368081 | + | 0.108078i | ||||
\(497\) | 18.1527 | + | 39.7489i | 0.814261 | + | 1.78298i | ||||
\(498\) | −3.81442 | + | 2.45138i | −0.170928 | + | 0.109849i | ||||
\(499\) | 29.6761 | + | 8.71370i | 1.32849 | + | 0.390079i | 0.867548 | − | 0.497354i | \(-0.165695\pi\) |
0.460938 | + | 0.887432i | \(0.347513\pi\) | |||||||
\(500\) | 2.58437 | + | 17.9747i | 0.115577 | + | 0.803853i | ||||
\(501\) | −5.47042 | + | 11.9785i | −0.244400 | + | 0.535162i | ||||
\(502\) | −2.05561 | + | 14.2971i | −0.0917465 | + | 0.638111i | ||||
\(503\) | −23.5817 | − | 15.1550i | −1.05145 | − | 0.675729i | −0.103661 | − | 0.994613i | \(-0.533056\pi\) |
−0.947794 | + | 0.318884i | \(0.896692\pi\) | |||||||
\(504\) | −5.24762 | − | 6.05608i | −0.233748 | − | 0.269759i | ||||
\(505\) | 4.04593 | 0.180041 | ||||||||
\(506\) | 1.12047 | − | 6.80377i | 0.0498108 | − | 0.302465i | ||||
\(507\) | −12.9440 | −0.574862 | ||||||||
\(508\) | 5.24474 | + | 6.05275i | 0.232698 | + | 0.268547i | ||||
\(509\) | 18.7265 | + | 12.0348i | 0.830038 | + | 0.533433i | 0.885290 | − | 0.465040i | \(-0.153960\pi\) |
−0.0552522 | + | 0.998472i | \(0.517596\pi\) | |||||||
\(510\) | −0.507484 | + | 3.52963i | −0.0224718 | + | 0.156294i | ||||
\(511\) | 5.99733 | − | 13.1323i | 0.265306 | − | 0.580940i | ||||
\(512\) | 1.95127 | + | 13.5714i | 0.0862348 | + | 0.599776i | ||||
\(513\) | 4.60002 | + | 1.35069i | 0.203096 | + | 0.0596343i | ||||
\(514\) | 10.3149 | − | 6.62896i | 0.454969 | − | 0.292391i | ||||
\(515\) | −2.87908 | − | 6.30430i | −0.126867 | − | 0.277801i | ||||
\(516\) | 4.16285 | − | 1.22232i | 0.183259 | − | 0.0538097i | ||||
\(517\) | 17.7763 | − | 20.5150i | 0.781801 | − | 0.902247i | ||||
\(518\) | 17.2027 | − | 19.8529i | 0.755841 | − | 0.872288i | ||||
\(519\) | 16.9271 | − | 4.97023i | 0.743016 | − | 0.218169i | ||||
\(520\) | −0.408968 | − | 0.895514i | −0.0179344 | − | 0.0392709i | ||||
\(521\) | −10.2196 | + | 6.56776i | −0.447730 | + | 0.287739i | −0.745012 | − | 0.667051i | \(-0.767556\pi\) |
0.297282 | + | 0.954790i | \(0.403920\pi\) | |||||||
\(522\) | −4.80028 | − | 1.40949i | −0.210102 | − | 0.0616916i | ||||
\(523\) | −2.87440 | − | 19.9919i | −0.125689 | − | 0.874183i | −0.950931 | − | 0.309404i | \(-0.899870\pi\) |
0.825242 | − | 0.564779i | \(-0.191039\pi\) | |||||||
\(524\) | −2.83871 | + | 6.21591i | −0.124010 | + | 0.271543i | ||||
\(525\) | 0.997192 | − | 6.93562i | 0.0435210 | − | 0.302695i | ||||
\(526\) | 11.3841 | + | 7.31609i | 0.496369 | + | 0.318997i | ||||
\(527\) | −13.1970 | − | 15.2302i | −0.574870 | − | 0.663436i | ||||
\(528\) | 2.60306 | 0.113284 | ||||||||
\(529\) | −21.7854 | − | 7.37539i | −0.947191 | − | 0.320669i | ||||
\(530\) | 0.630872 | 0.0274033 | ||||||||
\(531\) | 2.25845 | + | 2.60639i | 0.0980082 | + | 0.113108i | ||||
\(532\) | 19.7189 | + | 12.6726i | 0.854925 | + | 0.549427i | ||||
\(533\) | −0.276320 | + | 1.92184i | −0.0119687 | + | 0.0832443i | ||||
\(534\) | −0.733493 | + | 1.60612i | −0.0317413 | + | 0.0695038i | ||||
\(535\) | 3.22926 | + | 22.4600i | 0.139613 | + | 0.971030i | ||||
\(536\) | −35.3255 | − | 10.3725i | −1.52583 | − | 0.448024i | ||||
\(537\) | 9.05907 | − | 5.82191i | 0.390928 | − | 0.251234i | ||||
\(538\) | −7.01381 | − | 15.3581i | −0.302387 | − | 0.662134i | ||||
\(539\) | −6.97223 | + | 2.04723i | −0.300315 | + | 0.0881805i | ||||
\(540\) | −1.66168 | + | 1.91768i | −0.0715073 | + | 0.0825238i | ||||
\(541\) | 12.4594 | − | 14.3789i | 0.535670 | − | 0.618196i | −0.421814 | − | 0.906682i | \(-0.638606\pi\) |
0.957484 | + | 0.288486i | \(0.0931519\pi\) | |||||||
\(542\) | −15.2544 | + | 4.47909i | −0.655231 | + | 0.192393i | ||||
\(543\) | −0.592646 | − | 1.29771i | −0.0254329 | − | 0.0556902i | ||||
\(544\) | −14.7367 | + | 9.47070i | −0.631830 | + | 0.406053i | ||||
\(545\) | 25.6069 | + | 7.51888i | 1.09688 | + | 0.322073i | ||||
\(546\) | 0.0770255 | + | 0.535724i | 0.00329639 | + | 0.0229269i | ||||
\(547\) | −0.147373 | + | 0.322702i | −0.00630122 | + | 0.0137977i | −0.912756 | − | 0.408504i | \(-0.866051\pi\) |
0.906455 | + | 0.422302i | \(0.138778\pi\) | |||||||
\(548\) | −3.53301 | + | 24.5726i | −0.150923 | + | 1.04969i | ||||
\(549\) | 4.08228 | + | 2.62352i | 0.174228 | + | 0.111969i | ||||
\(550\) | −2.03055 | − | 2.34338i | −0.0865830 | − | 0.0999222i | ||||
\(551\) | 34.0841 | 1.45203 | ||||||||
\(552\) | −1.92201 | + | 11.6710i | −0.0818061 | + | 0.496749i | ||||
\(553\) | 6.79587 | 0.288990 | ||||||||
\(554\) | 0.962449 | + | 1.11073i | 0.0408905 | + | 0.0471902i | ||||
\(555\) | −16.2983 | − | 10.4743i | −0.691825 | − | 0.444609i | ||||
\(556\) | 0.742225 | − | 5.16229i | 0.0314774 | − | 0.218930i | ||||
\(557\) | −4.30127 | + | 9.41847i | −0.182251 | + | 0.399073i | −0.978602 | − | 0.205760i | \(-0.934033\pi\) |
0.796352 | + | 0.604834i | \(0.206760\pi\) | |||||||
\(558\) | 0.671590 | + | 4.67101i | 0.0284307 | + | 0.197740i | ||||
\(559\) | −0.654855 | − | 0.192283i | −0.0276974 | − | 0.00813270i | ||||
\(560\) | −5.87198 | + | 3.77369i | −0.248136 | + | 0.159468i | ||||
\(561\) | 2.55065 | + | 5.58515i | 0.107689 | + | 0.235805i | ||||
\(562\) | 13.2376 | − | 3.88691i | 0.558394 | − | 0.163959i | ||||
\(563\) | −9.43294 | + | 10.8862i | −0.397551 | + | 0.458799i | −0.918868 | − | 0.394565i | \(-0.870895\pi\) |
0.521317 | + | 0.853363i | \(0.325441\pi\) | |||||||
\(564\) | −13.0922 | + | 15.1093i | −0.551283 | + | 0.636214i | ||||
\(565\) | −20.9270 | + | 6.14472i | −0.880405 | + | 0.258510i | ||||
\(566\) | −1.46884 | − | 3.21631i | −0.0617399 | − | 0.135192i | ||||
\(567\) | 2.73330 | − | 1.75658i | 0.114788 | − | 0.0737696i | ||||
\(568\) | −31.8269 | − | 9.34522i | −1.33543 | − | 0.392117i | ||||
\(569\) | −2.69816 | − | 18.7661i | −0.113113 | − | 0.786716i | −0.964860 | − | 0.262764i | \(-0.915366\pi\) |
0.851748 | − | 0.523952i | \(-0.175543\pi\) | |||||||
\(570\) | −2.36325 | + | 5.17479i | −0.0989856 | + | 0.216748i | ||||
\(571\) | −0.955235 | + | 6.64381i | −0.0399754 | + | 0.278035i | −0.999998 | − | 0.00188690i | \(-0.999399\pi\) |
0.960023 | + | 0.279922i | \(0.0903085\pi\) | |||||||
\(572\) | −0.612275 | − | 0.393485i | −0.0256005 | − | 0.0164524i | ||||
\(573\) | 9.09843 | + | 10.5001i | 0.380092 | + | 0.438650i | ||||
\(574\) | −18.7533 | −0.782747 | ||||||||
\(575\) | −8.81315 | + | 5.41286i | −0.367534 | + | 0.225732i | ||||
\(576\) | 1.55400 | 0.0647498 | ||||||||
\(577\) | −8.20449 | − | 9.46849i | −0.341557 | − | 0.394178i | 0.558819 | − | 0.829289i | \(-0.311255\pi\) |
−0.900377 | + | 0.435111i | \(0.856709\pi\) | |||||||
\(578\) | 4.71773 | + | 3.03190i | 0.196232 | + | 0.126110i | ||||
\(579\) | −1.15213 | + | 8.01323i | −0.0478808 | + | 0.333018i | ||||
\(580\) | −7.49402 | + | 16.4096i | −0.311172 | + | 0.681372i | ||||
\(581\) | −2.97935 | − | 20.7219i | −0.123604 | − | 0.859687i | ||||
\(582\) | 1.22539 | + | 0.359808i | 0.0507941 | + | 0.0149145i | ||||
\(583\) | 0.913830 | − | 0.587283i | 0.0378470 | − | 0.0243228i | ||||
\(584\) | 4.55252 | + | 9.96862i | 0.188384 | + | 0.412504i | ||||
\(585\) | 0.382997 | − | 0.112458i | 0.0158350 | − | 0.00464957i | ||||
\(586\) | 1.36317 | − | 1.57319i | 0.0563122 | − | 0.0649877i | ||||
\(587\) | 4.51105 | − | 5.20603i | 0.186191 | − | 0.214876i | −0.654978 | − | 0.755648i | \(-0.727322\pi\) |
0.841169 | + | 0.540772i | \(0.181868\pi\) | |||||||
\(588\) | 5.13504 | − | 1.50778i | 0.211766 | − | 0.0621800i | ||||
\(589\) | −13.3556 | − | 29.2447i | −0.550308 | − | 1.20501i | ||||
\(590\) | −3.44268 | + | 2.21248i | −0.141733 | + | 0.0910863i | ||||
\(591\) | −1.70543 | − | 0.500760i | −0.0701521 | − | 0.0205985i | ||||
\(592\) | −2.08317 | − | 14.4888i | −0.0856178 | − | 0.595485i | ||||
\(593\) | −13.5898 | + | 29.7575i | −0.558067 | + | 1.22200i | 0.394845 | + | 0.918748i | \(0.370798\pi\) |
−0.952912 | + | 0.303248i | \(0.901929\pi\) | |||||||
\(594\) | 0.204619 | − | 1.42316i | 0.00839564 | − | 0.0583929i | ||||
\(595\) | −13.8506 | − | 8.90124i | −0.567819 | − | 0.364915i | ||||
\(596\) | 3.02451 | + | 3.49047i | 0.123889 | + | 0.142975i | ||||
\(597\) | 6.58209 | 0.269387 | ||||||||
\(598\) | 0.535381 | − | 0.592955i | 0.0218934 | − | 0.0242477i | ||||
\(599\) | 26.8624 | 1.09757 | 0.548784 | − | 0.835964i | \(-0.315091\pi\) | ||||
0.548784 | + | 0.835964i | \(0.315091\pi\) | |||||||
\(600\) | 3.48314 | + | 4.01976i | 0.142199 | + | 0.164106i | ||||
\(601\) | −25.9428 | − | 16.6724i | −1.05823 | − | 0.680083i | −0.108800 | − | 0.994064i | \(-0.534701\pi\) |
−0.949429 | + | 0.313981i | \(0.898337\pi\) | |||||||
\(602\) | 0.938145 | − | 6.52494i | 0.0382359 | − | 0.265937i | ||||
\(603\) | 6.20119 | − | 13.5787i | 0.252532 | − | 0.552968i | ||||
\(604\) | 0.405973 | + | 2.82360i | 0.0165188 | + | 0.114891i | ||||
\(605\) | −11.0431 | − | 3.24254i | −0.448965 | − | 0.131828i | ||||
\(606\) | 1.42042 | − | 0.912846i | 0.0577004 | − | 0.0370818i | ||||
\(607\) | −14.9460 | − | 32.7272i | −0.606640 | − | 1.32836i | −0.924849 | − | 0.380335i | \(-0.875809\pi\) |
0.318209 | − | 0.948021i | \(-0.396919\pi\) | |||||||
\(608\) | −26.8145 | + | 7.87346i | −1.08747 | + | 0.319311i | ||||
\(609\) | 15.1267 | − | 17.4571i | 0.612964 | − | 0.707398i | ||||
\(610\) | −3.77081 | + | 4.35174i | −0.152676 | + | 0.176197i | ||||
\(611\) | 3.01760 | − | 0.886048i | 0.122079 | − | 0.0358457i | ||||
\(612\) | −1.87855 | − | 4.11346i | −0.0759360 | − | 0.166277i | ||||
\(613\) | 17.5091 | − | 11.2524i | 0.707187 | − | 0.454481i | −0.136972 | − | 0.990575i | \(-0.543737\pi\) |
0.844158 | + | 0.536094i | \(0.180101\pi\) | |||||||
\(614\) | 15.9957 | + | 4.69675i | 0.645533 | + | 0.189546i | ||||
\(615\) | 1.96833 | + | 13.6900i | 0.0793705 | + | 0.552034i | ||||
\(616\) | 6.80146 | − | 14.8931i | 0.274039 | − | 0.600061i | ||||
\(617\) | 2.59278 | − | 18.0332i | 0.104382 | − | 0.725990i | −0.868668 | − | 0.495394i | \(-0.835024\pi\) |
0.973050 | − | 0.230595i | \(-0.0740674\pi\) | |||||||
\(618\) | −2.43315 | − | 1.56369i | −0.0978756 | − | 0.0629008i | ||||
\(619\) | 13.8159 | + | 15.9444i | 0.555310 | + | 0.640862i | 0.962112 | − | 0.272655i | \(-0.0879017\pi\) |
−0.406802 | + | 0.913516i | \(0.633356\pi\) | |||||||
\(620\) | 17.0162 | 0.683386 | ||||||||
\(621\) | −4.57302 | − | 1.44481i | −0.183509 | − | 0.0579782i | ||||
\(622\) | −18.4466 | −0.739642 | ||||||||
\(623\) | −5.33866 | − | 6.16114i | −0.213889 | − | 0.246841i | ||||
\(624\) | 0.253711 | + | 0.163050i | 0.0101566 | + | 0.00652723i | ||||
\(625\) | 1.36140 | − | 9.46875i | 0.0544561 | − | 0.378750i | ||||
\(626\) | 1.93682 | − | 4.24105i | 0.0774109 | − | 0.169506i | ||||
\(627\) | 1.39404 | + | 9.69575i | 0.0556725 | + | 0.387211i | ||||
\(628\) | 3.11557 | + | 0.914812i | 0.124325 | + | 0.0365050i | ||||
\(629\) | 29.0460 | − | 18.6667i | 1.15814 | − | 0.744291i | ||||
\(630\) | 1.60159 | + | 3.50700i | 0.0638089 | + | 0.139722i | ||||
\(631\) | −28.2607 | + | 8.29809i | −1.12504 | + | 0.330342i | −0.790757 | − | 0.612131i | \(-0.790313\pi\) |
−0.334284 | + | 0.942472i | \(0.608494\pi\) | |||||||
\(632\) | −3.37821 | + | 3.89867i | −0.134378 | + | 0.155081i | ||||
\(633\) | −8.94481 | + | 10.3229i | −0.355524 | + | 0.410297i | ||||
\(634\) | 7.49657 | − | 2.20119i | 0.297727 | − | 0.0874205i | ||||
\(635\) | −3.72818 | − | 8.16358i | −0.147948 | − | 0.323962i | ||||
\(636\) | −0.673035 | + | 0.432533i | −0.0266876 | + | 0.0171511i | ||||
\(637\) | −0.807791 | − | 0.237189i | −0.0320059 | − | 0.00939777i | ||||
\(638\) | −1.45473 | − | 10.1178i | −0.0575931 | − | 0.400569i | ||||
\(639\) | 5.58704 | − | 12.2339i | 0.221020 | − | 0.483966i | ||||
\(640\) | 2.53533 | − | 17.6336i | 0.100218 | − | 0.697030i | ||||
\(641\) | 33.4698 | + | 21.5097i | 1.32198 | + | 0.849584i | 0.995420 | − | 0.0955936i | \(-0.0304749\pi\) |
0.326558 | + | 0.945177i | \(0.394111\pi\) | |||||||
\(642\) | 6.20115 | + | 7.15651i | 0.244740 | + | 0.282445i | ||||
\(643\) | −33.1070 | −1.30561 | −0.652806 | − | 0.757525i | \(-0.726408\pi\) | ||||
−0.652806 | + | 0.757525i | \(0.726408\pi\) | |||||||
\(644\) | −19.4626 | − | 13.0770i | −0.766936 | − | 0.515304i | ||||
\(645\) | −4.86171 | −0.191430 | ||||||||
\(646\) | −6.63925 | − | 7.66211i | −0.261218 | − | 0.301462i | ||||
\(647\) | 26.5632 | + | 17.0711i | 1.04431 | + | 0.671134i | 0.946048 | − | 0.324027i | \(-0.105037\pi\) |
0.0982575 | + | 0.995161i | \(0.468673\pi\) | |||||||
\(648\) | −0.350997 | + | 2.44124i | −0.0137885 | + | 0.0959009i | ||||
\(649\) | −2.92718 | + | 6.40963i | −0.114902 | + | 0.251600i | ||||
\(650\) | −0.0511261 | − | 0.355590i | −0.00200533 | − | 0.0139474i | ||||
\(651\) | −20.9057 | − | 6.13848i | −0.819361 | − | 0.240586i | ||||
\(652\) | 15.3130 | − | 9.84104i | 0.599702 | − | 0.385405i | ||||
\(653\) | 5.87583 | + | 12.8663i | 0.229939 | + | 0.503496i | 0.989071 | − | 0.147441i | \(-0.0471035\pi\) |
−0.759132 | + | 0.650937i | \(0.774376\pi\) | |||||||
\(654\) | 10.6863 | − | 3.13779i | 0.417868 | − | 0.122697i | ||||
\(655\) | 5.01451 | − | 5.78706i | 0.195933 | − | 0.226119i | ||||
\(656\) | −6.84313 | + | 7.89739i | −0.267179 | + | 0.308341i | ||||
\(657\) | −4.26342 | + | 1.25185i | −0.166332 | + | 0.0488394i | ||||
\(658\) | 12.6188 | + | 27.6313i | 0.491932 | + | 1.07718i | ||||
\(659\) | −4.37949 | + | 2.81453i | −0.170601 | + | 0.109638i | −0.623155 | − | 0.782099i | \(-0.714149\pi\) |
0.452554 | + | 0.891737i | \(0.350513\pi\) | |||||||
\(660\) | −4.97447 | − | 1.46064i | −0.193631 | − | 0.0568552i | ||||
\(661\) | 1.49548 | + | 10.4013i | 0.0581673 | + | 0.404563i | 0.998015 | + | 0.0629700i | \(0.0200572\pi\) |
−0.939848 | + | 0.341593i | \(0.889034\pi\) | |||||||
\(662\) | −6.56486 | + | 14.3750i | −0.255151 | + | 0.558702i | ||||
\(663\) | −0.101239 | + | 0.704131i | −0.00393179 | + | 0.0273462i | ||||
\(664\) | 13.3688 | + | 8.59160i | 0.518810 | + | 0.333419i | ||||
\(665\) | −17.2007 | − | 19.8507i | −0.667015 | − | 0.769776i | ||||
\(666\) | −8.08512 | −0.313292 | ||||||||
\(667\) | −34.0885 | − | 0.696124i | −1.31991 | − | 0.0269540i | ||||
\(668\) | 19.8161 | 0.766706 | ||||||||
\(669\) | −7.46607 | − | 8.61631i | −0.288655 | − | 0.333126i | ||||
\(670\) | 14.9015 | + | 9.57660i | 0.575695 | + | 0.369976i | ||||
\(671\) | −1.41102 | + | 9.81385i | −0.0544718 | + | 0.378860i | ||||
\(672\) | −7.86779 | + | 17.2281i | −0.303507 | + | 0.664587i | ||||
\(673\) | 3.94517 | + | 27.4393i | 0.152075 | + | 1.05771i | 0.912734 | + | 0.408554i | \(0.133967\pi\) |
−0.760659 | + | 0.649152i | \(0.775124\pi\) | |||||||
\(674\) | −23.5827 | − | 6.92450i | −0.908370 | − | 0.266722i | ||||
\(675\) | −1.81424 | + | 1.16594i | −0.0698302 | + | 0.0448772i | ||||
\(676\) | 8.09149 | + | 17.7179i | 0.311211 | + | 0.681457i | ||||
\(677\) | −26.6582 | + | 7.82754i | −1.02456 | + | 0.300837i | −0.750496 | − | 0.660876i | \(-0.770185\pi\) |
−0.274061 | + | 0.961712i | \(0.588367\pi\) | |||||||
\(678\) | −5.96053 | + | 6.87881i | −0.228913 | + | 0.264179i | ||||
\(679\) | −3.86147 | + | 4.45637i | −0.148189 | + | 0.171020i | ||||
\(680\) | 11.9916 | − | 3.52105i | 0.459857 | − | 0.135026i | ||||
\(681\) | −0.660238 | − | 1.44572i | −0.0253004 | − | 0.0554001i | ||||
\(682\) | −8.11124 | + | 5.21278i | −0.310596 | + | 0.199608i | ||||
\(683\) | 10.3732 | + | 3.04585i | 0.396921 | + | 0.116546i | 0.474100 | − | 0.880471i | \(-0.342773\pi\) |
−0.0771798 | + | 0.997017i | \(0.524592\pi\) | |||||||
\(684\) | −1.02671 | − | 7.14091i | −0.0392572 | − | 0.273040i | ||||
\(685\) | 11.5563 | − | 25.3047i | 0.441542 | − | 0.966842i | ||||
\(686\) | −1.12047 | + | 7.79303i | −0.0427797 | + | 0.297539i | ||||
\(687\) | 22.0657 | + | 14.1808i | 0.841860 | + | 0.541031i | ||||
\(688\) | −2.40545 | − | 2.77604i | −0.0917070 | − | 0.105836i | ||||
\(689\) | 0.125854 | 0.00479464 | ||||||||
\(690\) | 2.46924 | − | 5.12719i | 0.0940023 | − | 0.195189i | ||||
\(691\) | 6.10633 | 0.232296 | 0.116148 | − | 0.993232i | \(-0.462945\pi\) | ||||
0.116148 | + | 0.993232i | \(0.462945\pi\) | |||||||
\(692\) | −17.3847 | − | 20.0630i | −0.660868 | − | 0.762682i | ||||
\(693\) | 5.58462 | + | 3.58902i | 0.212142 | + | 0.136335i | ||||
\(694\) | −1.02845 | + | 7.15305i | −0.0390395 | + | 0.271526i | ||||
\(695\) | −2.42777 | + | 5.31608i | −0.0920907 | + | 0.201650i | ||||
\(696\) | 2.49539 | + | 17.3558i | 0.0945874 | + | 0.657870i | ||||
\(697\) | −23.6500 | − | 6.94427i | −0.895809 | − | 0.263033i | ||||
\(698\) | 17.8995 | − | 11.5033i | 0.677507 | − | 0.435407i | ||||
\(699\) | −4.13300 | − | 9.05000i | −0.156324 | − | 0.342303i | ||||
\(700\) | −10.1169 | + | 2.97060i | −0.382385 | + | 0.112278i | ||||
\(701\) | 12.3067 | − | 14.2027i | 0.464819 | − | 0.536430i | −0.474144 | − | 0.880447i | \(-0.657242\pi\) |
0.938963 | + | 0.344017i | \(0.111788\pi\) | |||||||
\(702\) | 0.109087 | − | 0.125893i | 0.00411722 | − | 0.00475153i | ||||
\(703\) | 52.8513 | − | 15.5186i | 1.99333 | − | 0.585293i | ||||
\(704\) | 1.31898 | + | 2.88817i | 0.0497110 | + | 0.108852i | ||||
\(705\) | 18.8466 | − | 12.1120i | 0.709803 | − | 0.456163i | ||||
\(706\) | −2.13120 | − | 0.625776i | −0.0802086 | − | 0.0235514i | ||||
\(707\) | 1.10945 | + | 7.71641i | 0.0417253 | + | 0.290206i | ||||
\(708\) | 2.15587 | − | 4.72069i | 0.0810224 | − | 0.177414i | ||||
\(709\) | −2.12480 | + | 14.7783i | −0.0797985 | + | 0.555011i | 0.910226 | + | 0.414113i | \(0.135908\pi\) |
−0.990024 | + | 0.140898i | \(0.955001\pi\) | |||||||
\(710\) | 13.4257 | + | 8.62815i | 0.503856 | + | 0.323809i | ||||
\(711\) | −1.36973 | − | 1.58075i | −0.0513687 | − | 0.0592827i | ||||
\(712\) | 6.18838 | 0.231919 | ||||||||
\(713\) | 12.7600 | + | 29.5212i | 0.477867 | + | 1.10558i | ||||
\(714\) | −6.87088 | −0.257136 | ||||||||
\(715\) | 0.534083 | + | 0.616365i | 0.0199736 | + | 0.0230507i | ||||
\(716\) | −13.6321 | − | 8.76082i | −0.509455 | − | 0.327407i | ||||
\(717\) | −1.64324 | + | 11.4290i | −0.0613679 | + | 0.426823i | ||||
\(718\) | 6.39253 | − | 13.9977i | 0.238567 | − | 0.522389i | ||||
\(719\) | −2.17016 | − | 15.0938i | −0.0809333 | − | 0.562904i | −0.989430 | − | 0.145012i | \(-0.953678\pi\) |
0.908497 | − | 0.417892i | \(-0.137231\pi\) | |||||||
\(720\) | 2.06129 | + | 0.605250i | 0.0768198 | + | 0.0225563i | ||||
\(721\) | 11.2341 | − | 7.21972i | 0.418380 | − | 0.268876i | ||||
\(722\) | −1.16479 | − | 2.55054i | −0.0433491 | − | 0.0949213i | ||||
\(723\) | 5.27463 | − | 1.54877i | 0.196166 | − | 0.0575995i | ||||
\(724\) | −1.40586 | + | 1.62245i | −0.0522483 | + | 0.0602977i | ||||
\(725\) | −10.0404 | + | 11.5873i | −0.372892 | + | 0.430340i | ||||
\(726\) | −4.60851 | + | 1.35318i | −0.171038 | + | 0.0502213i | ||||
\(727\) | −9.70715 | − | 21.2557i | −0.360018 | − | 0.788330i | −0.999804 | − | 0.0197768i | \(-0.993704\pi\) |
0.639786 | − | 0.768553i | \(-0.279023\pi\) | |||||||
\(728\) | 1.59579 | − | 1.02555i | 0.0591437 | − | 0.0380094i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −0.750370 | − | 5.21894i | −0.0277724 | − | 0.193162i | ||||
\(731\) | 3.59927 | − | 7.88130i | 0.133124 | − | 0.291500i | ||||
\(732\) | 1.03921 | − | 7.22789i | 0.0384105 | − | 0.267151i | ||||
\(733\) | 45.1623 | + | 29.0240i | 1.66811 | + | 1.07203i | 0.904637 | + | 0.426182i | \(0.140142\pi\) |
0.763469 | + | 0.645845i | \(0.223495\pi\) | |||||||
\(734\) | −3.75061 | − | 4.32843i | −0.138437 | − | 0.159765i | ||||
\(735\) | −5.99712 | −0.221207 | ||||||||
\(736\) | 26.9788 | − | 7.32681i | 0.994451 | − | 0.270070i | ||||
\(737\) | 30.5000 | 1.12348 | ||||||||
\(738\) | 3.77978 | + | 4.36210i | 0.139136 | + | 0.160571i | ||||
\(739\) | −7.10502 | − | 4.56612i | −0.261362 | − | 0.167967i | 0.403397 | − | 0.915025i | \(-0.367829\pi\) |
−0.664759 | + | 0.747058i | \(0.731466\pi\) | |||||||
\(740\) | −4.14902 | + | 28.8570i | −0.152521 | + | 1.06081i | ||||
\(741\) | −0.471448 | + | 1.03233i | −0.0173191 | + | 0.0379235i | ||||
\(742\) | 0.172994 | + | 1.20320i | 0.00635083 | + | 0.0441710i | ||||
\(743\) | −10.3844 | − | 3.04914i | −0.380968 | − | 0.111862i | 0.0856409 | − | 0.996326i | \(-0.472706\pi\) |
−0.466609 | + | 0.884464i | \(0.654524\pi\) | |||||||
\(744\) | 13.9137 | − | 8.94182i | 0.510103 | − | 0.327823i | ||||
\(745\) | −2.14995 | − | 4.70774i | −0.0787682 | − | 0.172478i | ||||
\(746\) | 2.98567 | − | 0.876671i | 0.109313 | − | 0.0320972i | ||||
\(747\) | −4.21950 | + | 4.86956i | −0.154383 | + | 0.178168i | ||||
\(748\) | 6.05058 | − | 6.98274i | 0.221231 | − | 0.255314i | ||||
\(749\) | −41.9503 | + | 12.3177i | −1.53283 | + | 0.450080i | ||||
\(750\) | −3.52775 | − | 7.72470i | −0.128815 | − | 0.282066i | ||||
\(751\) | 12.6562 | − | 8.13365i | 0.461832 | − | 0.296801i | −0.288959 | − | 0.957342i | \(-0.593309\pi\) |
0.750791 | + | 0.660540i | \(0.229673\pi\) | |||||||
\(752\) | 16.2408 | + | 4.76871i | 0.592239 | + | 0.173897i | ||||
\(753\) | 2.92113 | + | 20.3169i | 0.106452 | + | 0.740390i | ||||
\(754\) | 0.491972 | − | 1.07727i | 0.0179166 | − | 0.0392318i | ||||
\(755\) | 0.454922 | − | 3.16405i | 0.0165563 | − | 0.115152i | ||||
\(756\) | −4.11307 | − | 2.64331i | −0.149591 | − | 0.0961362i | ||||
\(757\) | −2.37325 | − | 2.73887i | −0.0862572 | − | 0.0995461i | 0.710980 | − | 0.703212i | \(-0.248252\pi\) |
−0.797237 | + | 0.603666i | \(0.793706\pi\) | |||||||
\(758\) | −7.42321 | −0.269623 | ||||||||
\(759\) | −1.19619 | − | 9.72546i | −0.0434191 | − | 0.353012i | ||||
\(760\) | 19.9384 | 0.723242 | ||||||||
\(761\) | 0.554520 | + | 0.639950i | 0.0201013 | + | 0.0231982i | 0.765711 | − | 0.643185i | \(-0.222387\pi\) |
−0.745610 | + | 0.666383i | \(0.767842\pi\) | |||||||
\(762\) | −3.15074 | − | 2.02486i | −0.114139 | − | 0.0733529i | ||||
\(763\) | −7.31824 | + | 50.8995i | −0.264938 | + | 1.84269i | ||||
\(764\) | 8.68518 | − | 19.0179i | 0.314219 | − | 0.688043i | ||||
\(765\) | 0.721161 | + | 5.01578i | 0.0260736 | + | 0.181346i | ||||
\(766\) | −3.64745 | − | 1.07099i | −0.131788 | − | 0.0386963i | ||||
\(767\) | −0.686786 | + | 0.441371i | −0.0247984 | + | 0.0159370i | ||||
\(768\) | −4.37953 | − | 9.58984i | −0.158033 | − | 0.346044i | ||||
\(769\) | −38.4180 | + | 11.2806i | −1.38539 | + | 0.406787i | −0.887642 | − | 0.460535i | \(-0.847658\pi\) |
−0.497748 | + | 0.867322i | \(0.665840\pi\) | |||||||
\(770\) | −5.15852 | + | 5.95325i | −0.185900 | + | 0.214540i | ||||
\(771\) | 11.4103 | − | 13.1681i | 0.410931 | − | 0.474239i | ||||
\(772\) | 11.6888 | − | 3.43215i | 0.420690 | − | 0.123526i | ||||
\(773\) | 16.2066 | + | 35.4876i | 0.582913 | + | 1.27640i | 0.939631 | + | 0.342189i | \(0.111168\pi\) |
−0.356719 | + | 0.934212i | \(0.616104\pi\) | |||||||
\(774\) | −1.70682 | + | 1.09690i | −0.0613502 | + | 0.0394274i | ||||
\(775\) | 13.8763 | + | 4.07445i | 0.498452 | + | 0.146359i | ||||
\(776\) | −0.637011 | − | 4.43051i | −0.0228674 | − | 0.159046i | ||||
\(777\) | 15.5074 | − | 33.9565i | 0.556325 | − | 1.21818i | ||||
\(778\) | 0.160485 | − | 1.11620i | 0.00575367 | − | 0.0400177i | ||||
\(779\) | −33.0805 | − | 21.2595i | −1.18523 | − | 0.761702i | ||||
\(780\) | −0.393352 | − | 0.453952i | −0.0140843 | − | 0.0162541i | ||||
\(781\) | 27.4793 | 0.983287 | ||||||||
\(782\) | 6.48362 | + | 7.79869i | 0.231854 | + | 0.278880i | ||||
\(783\) | −7.10942 | −0.254070 | ||||||||
\(784\) | −2.96722 | − | 3.42436i | −0.105972 | − | 0.122299i | ||||
\(785\) | −3.06099 | − | 1.96718i | −0.109252 | − | 0.0702117i | ||||
\(786\) | 0.454779 | − | 3.16306i | 0.0162214 | − | 0.112823i | ||||
\(787\) | −16.1795 | + | 35.4281i | −0.576735 | + | 1.26287i | 0.366398 | + | 0.930458i | \(0.380591\pi\) |
−0.943133 | + | 0.332416i | \(0.892136\pi\) | |||||||
\(788\) | 0.380646 | + | 2.64745i | 0.0135600 | + | 0.0943116i | ||||
\(789\) | 18.4511 | + | 5.41773i | 0.656876 | + | 0.192876i | ||||
\(790\) | 2.08795 | − | 1.34185i | 0.0742861 | − | 0.0477408i | ||||
\(791\) | −17.4577 | − | 38.2271i | −0.620726 | − | 1.35920i | ||||
\(792\) | −4.83506 | + | 1.41970i | −0.171806 | + | 0.0504469i | ||||
\(793\) | −0.752245 | + | 0.868136i | −0.0267130 | + | 0.0308284i | ||||
\(794\) | −3.21396 | + | 3.70911i | −0.114059 | + | 0.131631i | ||||
\(795\) | 0.860188 | − | 0.252574i | 0.0305077 | − | 0.00895787i | ||||
\(796\) | −4.11458 | − | 9.00966i | −0.145837 | − | 0.319339i | ||||
\(797\) | 18.7123 | − | 12.0257i | 0.662823 | − | 0.425971i | −0.165508 | − | 0.986208i | \(-0.552927\pi\) |
0.828332 | + | 0.560238i | \(0.189290\pi\) | |||||||
\(798\) | −10.5174 | − | 3.08820i | −0.372313 | − | 0.109321i | ||||
\(799\) | 5.68197 | + | 39.5189i | 0.201014 | + | 1.39808i | ||||
\(800\) | 5.22229 | − | 11.4352i | 0.184636 | − | 0.404296i | ||||
\(801\) | −0.357087 | + | 2.48359i | −0.0126170 | + | 0.0877534i | ||||
\(802\) | 0.565424 | + | 0.363376i | 0.0199658 | + | 0.0128313i | ||||
\(803\) | −5.94527 | − | 6.86121i | −0.209804 | − | 0.242127i | ||||
\(804\) | −22.4632 | −0.792217 | ||||||||
\(805\) | 16.7975 | + | 20.2045i | 0.592033 | + | 0.712115i | ||||
\(806\) | −1.11709 | −0.0393478 | ||||||||
\(807\) | −15.7120 | − | 18.1326i | −0.553087 | − | 0.638297i | ||||
\(808\) | −4.97827 | − | 3.19934i | −0.175135 | − | 0.112552i | ||||
\(809\) | 7.67660 | − | 53.3919i | 0.269895 | − | 1.87716i | −0.179401 | − | 0.983776i | \(-0.557416\pi\) |
0.449296 | − | 0.893383i | \(-0.351675\pi\) | |||||||
\(810\) | 0.492937 | − | 1.07938i | 0.0173200 | − | 0.0379256i | ||||
\(811\) | 7.03044 | + | 48.8978i | 0.246872 | + | 1.71703i | 0.616078 | + | 0.787685i | \(0.288720\pi\) |
−0.369206 | + | 0.929347i | \(0.620370\pi\) | |||||||
\(812\) | −33.3515 | − | 9.79288i | −1.17041 | − | 0.343663i | ||||
\(813\) | −19.0059 | + | 12.2144i | −0.666568 | + | 0.428377i | ||||
\(814\) | −6.86239 | − | 15.0265i | −0.240527 | − | 0.526680i | ||||
\(815\) | −19.5711 | + | 5.74658i | −0.685544 | + | 0.201294i | ||||
\(816\) | −2.50720 | + | 2.89347i | −0.0877697 | + | 0.101292i | ||||
\(817\) | 9.05183 | − | 10.4464i | 0.316683 | − | 0.365472i | ||||
\(818\) | 10.5170 | − | 3.08807i | 0.367718 | − | 0.107972i | ||||
\(819\) | 0.319504 | + | 0.699616i | 0.0111644 | + | 0.0244466i | ||||
\(820\) | 17.5086 | − | 11.2521i | 0.611428 | − | 0.392941i | ||||
\(821\) | −16.8019 | − | 4.93349i | −0.586391 | − | 0.172180i | −0.0249388 | − | 0.999689i | \(-0.507939\pi\) |
−0.561453 | + | 0.827509i | \(0.689757\pi\) | |||||||
\(822\) | −1.65217 | − | 11.4911i | −0.0576262 | − | 0.400799i | ||||
\(823\) | −5.65453 | + | 12.3817i | −0.197105 | + | 0.431599i | −0.982216 | − | 0.187756i | \(-0.939879\pi\) |
0.785111 | + | 0.619355i | \(0.212606\pi\) | |||||||
\(824\) | −1.44263 | + | 10.0337i | −0.0502564 | + | 0.349541i | ||||
\(825\) | −3.70683 | − | 2.38223i | −0.129055 | − | 0.0829387i | ||||
\(826\) | −5.16369 | − | 5.95921i | −0.179668 | − | 0.207347i | ||||
\(827\) | −22.5564 | −0.784365 | −0.392182 | − | 0.919888i | \(-0.628280\pi\) | ||||
−0.392182 | + | 0.919888i | \(0.628280\pi\) | |||||||
\(828\) | 0.880996 | + | 7.16279i | 0.0306167 | + | 0.248924i | ||||
\(829\) | −49.2936 | −1.71204 | −0.856019 | − | 0.516944i | \(-0.827070\pi\) | ||||
−0.856019 | + | 0.516944i | \(0.827070\pi\) | |||||||
\(830\) | −5.00691 | − | 5.77829i | −0.173793 | − | 0.200567i | ||||
\(831\) | 1.75697 | + | 1.12914i | 0.0609488 | + | 0.0391694i | ||||
\(832\) | −0.0523521 | + | 0.364117i | −0.00181498 | + | 0.0126235i | ||||
\(833\) | 4.43985 | − | 9.72191i | 0.153832 | − | 0.336844i | ||||
\(834\) | 0.347094 | + | 2.41409i | 0.0120189 | + | 0.0835931i | ||||
\(835\) | −21.3059 | − | 6.25597i | −0.737320 | − | 0.216497i | ||||
\(836\) | 12.4002 | − | 7.96915i | 0.428871 | − | 0.275619i | ||||
\(837\) | 2.78578 | + | 6.10000i | 0.0962905 | + | 0.210847i | ||||
\(838\) | −20.5579 | + | 6.03634i | −0.710161 | + | 0.208522i | ||||
\(839\) | 3.73033 | − | 4.30503i | 0.128785 | − | 0.148626i | −0.687694 | − | 0.726000i | \(-0.741377\pi\) |
0.816480 | + | 0.577374i | \(0.195923\pi\) | |||||||
\(840\) | 8.84875 | − | 10.2120i | 0.305311 | − | 0.352347i | ||||
\(841\) | −20.6712 | + | 6.06961i | −0.712800 | + | 0.209297i | ||||
\(842\) | 7.08944 | + | 15.5237i | 0.244318 | + | 0.534982i | ||||
\(843\) | 16.4932 | − | 10.5995i | 0.568055 | − | 0.365067i | ||||
\(844\) | 19.7216 | + | 5.79079i | 0.678847 | + | 0.199327i | ||||
\(845\) | −3.10625 | − | 21.6045i | −0.106858 | − | 0.743216i | ||||
\(846\) | 3.88381 | − | 8.50436i | 0.133528 | − | 0.292386i | ||||
\(847\) | 3.15602 | − | 21.9506i | 0.108442 | − | 0.754231i | ||||
\(848\) | 0.569819 | + | 0.366201i | 0.0195677 | + | 0.0125754i | ||||
\(849\) | −3.29042 | − | 3.79735i | −0.112927 | − | 0.130325i | ||||
\(850\) | 4.56059 | 0.156427 | ||||||||
\(851\) | −53.1751 | + | 14.4411i | −1.82282 | + | 0.495035i | ||||
\(852\) | −20.2385 | −0.693360 | ||||||||
\(853\) | −23.2854 | − | 26.8727i | −0.797275 | − | 0.920105i | 0.200953 | − | 0.979601i | \(-0.435596\pi\) |
−0.998229 | + | 0.0594960i | \(0.981051\pi\) | |||||||
\(854\) | −9.33368 | − | 5.99839i | −0.319392 | − | 0.205261i | ||||
\(855\) | −1.15050 | + | 8.00192i | −0.0393463 | + | 0.273660i | ||||
\(856\) | 13.7870 | − | 30.1892i | 0.471229 | − | 1.03185i | ||||
\(857\) | 3.63010 | + | 25.2479i | 0.124002 | + | 0.862451i | 0.952950 | + | 0.303126i | \(0.0980304\pi\) |
−0.828949 | + | 0.559325i | \(0.811060\pi\) | |||||||
\(858\) | 0.326567 | + | 0.0958888i | 0.0111488 | + | 0.00327359i | ||||
\(859\) | −28.7873 | + | 18.5005i | −0.982209 | + | 0.631227i | −0.930058 | − | 0.367412i | \(-0.880244\pi\) |
−0.0521507 | + | 0.998639i | \(0.516608\pi\) | |||||||
\(860\) | 3.03914 | + | 6.65478i | 0.103634 | + | 0.226926i | ||||
\(861\) | −25.5699 | + | 7.50800i | −0.871420 | + | 0.255872i | ||||
\(862\) | 4.48854 | − | 5.18005i | 0.152880 | − | 0.176433i | ||||
\(863\) | 18.4346 | − | 21.2747i | 0.627522 | − | 0.724199i | −0.349595 | − | 0.936901i | \(-0.613681\pi\) |
0.977117 | + | 0.212702i | \(0.0682263\pi\) | |||||||
\(864\) | 5.59310 | − | 1.64228i | 0.190281 | − | 0.0558716i | ||||
\(865\) | 12.3578 | + | 27.0598i | 0.420178 | + | 0.920061i | ||||
\(866\) | 3.69562 | − | 2.37503i | 0.125582 | − | 0.0807069i | ||||
\(867\) | 7.64642 | + | 2.24519i | 0.259686 | + | 0.0762507i | ||||
\(868\) | 4.66609 | + | 32.4534i | 0.158377 | + | 1.10154i | ||||
\(869\) | 1.77531 | − | 3.88738i | 0.0602232 | − | 0.131870i | ||||
\(870\) | 1.20059 | − | 8.35027i | 0.0407037 | − | 0.283101i | ||||
\(871\) | 2.97272 | + | 1.91045i | 0.100727 | + | 0.0647332i | ||||
\(872\) | −25.5622 | − | 29.5004i | −0.865647 | − | 0.999009i | ||||
\(873\) | 1.81486 | 0.0614237 | ||||||||
\(874\) | 6.41942 | + | 14.8518i | 0.217140 | + | 0.502369i | ||||
\(875\) | 39.2090 | 1.32551 | ||||||||
\(876\) | 4.37869 | + | 5.05327i | 0.147942 | + | 0.170734i | ||||
\(877\) | −12.5229 | − | 8.04799i | −0.422869 | − | 0.271761i | 0.311852 | − | 0.950131i | \(-0.399051\pi\) |
−0.734721 | + | 0.678369i | \(0.762687\pi\) | |||||||
\(878\) | −1.67471 | + | 11.6478i | −0.0565186 | + | 0.393095i | ||||
\(879\) | 1.22884 | − | 2.69078i | 0.0414476 | − | 0.0907577i | ||||
\(880\) | 0.624675 | + | 4.34471i | 0.0210578 | + | 0.146460i | ||||
\(881\) | −25.0561 | − | 7.35715i | −0.844163 | − | 0.247869i | −0.169073 | − | 0.985604i | \(-0.554077\pi\) |
−0.675090 | + | 0.737735i | \(0.735895\pi\) | |||||||
\(882\) | −2.10543 | + | 1.35308i | −0.0708934 | + | 0.0455604i | ||||
\(883\) | −14.3890 | − | 31.5074i | −0.484227 | − | 1.06031i | −0.981279 | − | 0.192589i | \(-0.938311\pi\) |
0.497052 | − | 0.867721i | \(-0.334416\pi\) | |||||||
\(884\) | 1.02711 | − | 0.301587i | 0.0345455 | − | 0.0101435i | ||||
\(885\) | −3.80828 | + | 4.39499i | −0.128014 | + | 0.147736i | ||||
\(886\) | 14.0055 | − | 16.1632i | 0.470525 | − | 0.543014i | ||||
\(887\) | 52.5394 | − | 15.4270i | 1.76410 | − | 0.517987i | 0.771164 | − | 0.636636i | \(-0.219675\pi\) |
0.992936 | + | 0.118650i | \(0.0378565\pi\) | |||||||
\(888\) | 11.7715 | + | 25.7760i | 0.395026 | + | 0.864986i | ||||
\(889\) | 14.5473 | − | 9.34899i | 0.487901 | − | 0.313555i | ||||
\(890\) | −2.85677 | − | 0.838822i | −0.0957590 | − | 0.0281174i | ||||
\(891\) | −0.290775 | − | 2.02238i | −0.00974132 | − | 0.0677524i | ||||
\(892\) | −7.12696 | + | 15.6059i | −0.238628 | + | 0.522523i | ||||
\(893\) | −9.06471 | + | 63.0465i | −0.303339 | + | 2.10977i | ||||
\(894\) | −1.81696 | − | 1.16769i | −0.0607681 | − | 0.0390533i | ||||
\(895\) | 11.8912 | + | 13.7232i | 0.397479 | + | 0.458715i | ||||
\(896\) | 34.3261 | 1.14676 | ||||||||
\(897\) | 0.492593 | − | 1.02283i | 0.0164472 | − | 0.0341513i | ||||
\(898\) | −12.1172 | −0.404355 | ||||||||
\(899\) | 31.2210 | + | 36.0310i | 1.04128 | + | 1.20170i | ||||
\(900\) | 2.73007 | + | 1.75451i | 0.0910025 | + | 0.0584837i | ||||
\(901\) | −0.227376 | + | 1.58143i | −0.00757499 | + | 0.0526852i | ||||
\(902\) | −4.89899 | + | 10.7273i | −0.163118 | + | 0.357179i | ||||
\(903\) | −1.33315 | − | 9.27228i | −0.0443645 | − | 0.308562i | ||||
\(904\) | 30.6084 | + | 8.98744i | 1.01802 | + | 0.298918i | ||||
\(905\) | 2.02376 | − | 1.30059i | 0.0672722 | − | 0.0432332i | ||||
\(906\) | −0.554166 | − | 1.21345i | −0.0184109 | − | 0.0403143i | ||||
\(907\) | 9.75887 | − | 2.86546i | 0.324038 | − | 0.0951461i | −0.115668 | − | 0.993288i | \(-0.536901\pi\) |
0.439706 | + | 0.898142i | \(0.355083\pi\) | |||||||
\(908\) | −1.56620 | + | 1.80749i | −0.0519761 | + | 0.0599836i | ||||
\(909\) | 1.57126 | − | 1.81333i | 0.0521153 | − | 0.0601443i | ||||
\(910\) | −0.875680 | + | 0.257123i | −0.0290285 | + | 0.00852354i | ||||
\(911\) | 12.8358 | + | 28.1066i | 0.425271 | + | 0.931213i | 0.994071 | + | 0.108737i | \(0.0346806\pi\) |
−0.568800 | + | 0.822476i | \(0.692592\pi\) | |||||||
\(912\) | −5.13834 | + | 3.30221i | −0.170147 | + | 0.109347i | ||||
\(913\) | −12.6317 | − | 3.70899i | −0.418047 | − | 0.122750i | ||||
\(914\) | −1.15583 | − | 8.03900i | −0.0382316 | − | 0.265907i | ||||
\(915\) | −3.39921 | + | 7.44322i | −0.112374 | + | 0.246065i | ||||
\(916\) | 5.61721 | − | 39.0686i | 0.185598 | − | 1.29086i | ||||
\(917\) | 12.4122 | + | 7.97681i | 0.409886 | + | 0.263417i | ||||
\(918\) | 1.38485 | + | 1.59820i | 0.0457067 | + | 0.0527484i | ||||
\(919\) | 1.12747 | 0.0371917 | 0.0185959 | − | 0.999827i | \(-0.494080\pi\) | ||||
0.0185959 | + | 0.999827i | \(0.494080\pi\) | |||||||
\(920\) | −19.9410 | − | 0.407216i | −0.657434 | − | 0.0134255i | ||||
\(921\) | 23.6903 | 0.780622 | ||||||||
\(922\) | −16.7375 | − | 19.3161i | −0.551221 | − | 0.636143i | ||||
\(923\) | 2.67831 | + | 1.72124i | 0.0881575 | + | 0.0566554i | ||||
\(924\) | 1.42166 | − | 9.88786i | 0.0467692 | − | 0.325287i | ||||
\(925\) | −10.2931 | + | 22.5388i | −0.338436 | + | 0.741071i | ||||
\(926\) | −1.47668 | − | 10.2705i | −0.0485268 | − | 0.337511i | ||||
\(927\) | −3.94360 | − | 1.15795i | −0.129525 | − | 0.0380320i | ||||
\(928\) | 34.8636 | − | 22.4055i | 1.14445 | − | 0.735495i | ||||
\(929\) | 4.61059 | + | 10.0958i | 0.151269 | + | 0.331232i | 0.970062 | − | 0.242856i | \(-0.0780841\pi\) |
−0.818794 | + | 0.574088i | \(0.805357\pi\) | |||||||
\(930\) | −7.63511 | + | 2.24187i | −0.250365 | + | 0.0735138i | ||||
\(931\) | 11.1658 | − | 12.8860i | 0.365944 | − | 0.422322i | ||||
\(932\) | −9.80417 | + | 11.3146i | −0.321146 | + | 0.370623i | ||||
\(933\) | −25.1518 | + | 7.38522i | −0.823431 | + | 0.241781i | ||||
\(934\) | 2.37072 | + | 5.19115i | 0.0775723 | + | 0.169860i | ||||
\(935\) | −8.70994 | + | 5.59754i | −0.284846 | + | 0.183059i | ||||
\(936\) | −0.560182 | − | 0.164484i | −0.0183101 | − | 0.00537634i | ||||
\(937\) | −5.05507 | − | 35.1588i | −0.165142 | − | 1.14859i | −0.888755 | − | 0.458382i | \(-0.848429\pi\) |
0.723613 | − | 0.690206i | \(-0.242480\pi\) | |||||||
\(938\) | −14.1783 | + | 31.0462i | −0.462939 | + | 1.01370i | ||||
\(939\) | 0.942904 | − | 6.55804i | 0.0307705 | − | 0.214014i | ||||
\(940\) | −28.3603 | − | 18.2261i | −0.925012 | − | 0.594469i | ||||
\(941\) | −37.5077 | − | 43.2862i | −1.22272 | − | 1.41109i | −0.882217 | − | 0.470844i | \(-0.843950\pi\) |
−0.340499 | − | 0.940245i | \(-0.610596\pi\) | |||||||
\(942\) | −1.51847 | −0.0494744 | ||||||||
\(943\) | 32.6505 | + | 21.9379i | 1.06325 | + | 0.714396i | ||||
\(944\) | −4.39379 | −0.143006 | ||||||||
\(945\) | 3.58780 | + | 4.14054i | 0.116711 | + | 0.134692i | ||||
\(946\) | −3.48733 | − | 2.24117i | −0.113383 | − | 0.0728668i | ||||
\(947\) | 3.46314 | − | 24.0867i | 0.112537 | − | 0.782712i | −0.852900 | − | 0.522075i | \(-0.825158\pi\) |
0.965437 | − | 0.260637i | \(-0.0839327\pi\) | |||||||
\(948\) | −1.30751 | + | 2.86305i | −0.0424660 | + | 0.0929877i | ||||
\(949\) | −0.149693 | − | 1.04113i | −0.00485923 | − | 0.0337967i | ||||
\(950\) | 6.98101 | + | 2.04981i | 0.226494 | + | 0.0665046i | ||||
\(951\) | 9.34023 | − | 6.00260i | 0.302878 | − | 0.194648i | ||||
\(952\) | 10.0036 | + | 21.9049i | 0.324220 | + | 0.709942i | ||||
\(953\) | 47.7219 | − | 14.0124i | 1.54586 | − | 0.453906i | 0.606002 | − | 0.795463i | \(-0.292772\pi\) |
0.939861 | + | 0.341557i | \(0.110954\pi\) | |||||||
\(954\) | 0.245003 | − | 0.282748i | 0.00793226 | − | 0.00915431i | ||||
\(955\) | −15.3421 | + | 17.7058i | −0.496460 | + | 0.572945i | ||||
\(956\) | 16.6714 | − | 4.89516i | 0.539191 | − | 0.158321i | ||||
\(957\) | −6.03425 | − | 13.2132i | −0.195060 | − | 0.427121i | ||||
\(958\) | 18.3135 | − | 11.7693i | 0.591681 | − | 0.380250i | ||||
\(959\) | 51.4301 | + | 15.1012i | 1.66077 | + | 0.487645i | ||||
\(960\) | 0.372923 | + | 2.59374i | 0.0120360 | + | 0.0837125i | ||||
\(961\) | 5.80356 | − | 12.7080i | 0.187212 | − | 0.409936i | ||||
\(962\) | 0.272377 | − | 1.89443i | 0.00878180 | − | 0.0610787i | ||||
\(963\) | 11.3204 | + | 7.27515i | 0.364793 | + | 0.234438i | ||||
\(964\) | −5.41725 | − | 6.25183i | −0.174478 | − | 0.201358i | ||||
\(965\) | −13.6512 | −0.439447 | ||||||||
\(966\) | 10.4557 | + | 3.30340i | 0.336407 | + | 0.106285i | ||||
\(967\) | 46.0629 | 1.48128 | 0.740641 | − | 0.671901i | \(-0.234522\pi\) | ||||
0.740641 | + | 0.671901i | \(0.234522\pi\) | |||||||
\(968\) | 11.0238 | + | 12.7221i | 0.354318 | + | 0.408905i | ||||
\(969\) | −12.1201 | − | 7.78913i | −0.389355 | − | 0.250223i | ||||
\(970\) | −0.306481 | + | 2.13162i | −0.00984050 | + | 0.0684422i | ||||
\(971\) | −10.3764 | + | 22.7210i | −0.332993 | + | 0.729153i | −0.999872 | − | 0.0160132i | \(-0.994903\pi\) |
0.666879 | + | 0.745166i | \(0.267630\pi\) | |||||||
\(972\) | 0.214155 | + | 1.48948i | 0.00686904 | + | 0.0477752i | ||||
\(973\) | −10.8046 | − | 3.17251i | −0.346379 | − | 0.101706i | ||||
\(974\) | −9.38093 | + | 6.02876i | −0.300584 | + | 0.193174i | ||||
\(975\) | −0.212073 | − | 0.464375i | −0.00679176 | − | 0.0148719i | ||||
\(976\) | −5.93193 | + | 1.74177i | −0.189876 | + | 0.0557528i | ||||
\(977\) | 15.7122 | − | 18.1328i | 0.502678 | − | 0.580121i | −0.446531 | − | 0.894768i | \(-0.647341\pi\) |
0.949209 | + | 0.314647i | \(0.101886\pi\) | |||||||
\(978\) | −5.57432 | + | 6.43311i | −0.178247 | + | 0.205708i | ||||
\(979\) | −4.91894 | + | 1.44433i | −0.157210 | + | 0.0461611i | ||||
\(980\) | 3.74890 | + | 8.20894i | 0.119754 | + | 0.262225i | ||||
\(981\) | 13.3145 | − | 8.55668i | 0.425098 | − | 0.273194i | ||||
\(982\) | 0.507523 | + | 0.149022i | 0.0161957 | + | 0.00475549i | ||||
\(983\) | −0.868902 | − | 6.04334i | −0.0277137 | − | 0.192753i | 0.971261 | − | 0.238015i | \(-0.0764967\pi\) |
−0.998975 | + | 0.0452623i | \(0.985588\pi\) | |||||||
\(984\) | 8.40355 | − | 18.4012i | 0.267895 | − | 0.586609i | ||||
\(985\) | 0.426542 | − | 2.96667i | 0.0135908 | − | 0.0945258i | ||||
\(986\) | 12.6478 | + | 8.12822i | 0.402787 | + | 0.258855i | ||||
\(987\) | 28.2680 | + | 32.6230i | 0.899780 | + | 1.03840i | ||||
\(988\) | 1.70778 | 0.0543316 | ||||||||
\(989\) | −9.26634 | + | 10.2628i | −0.294652 | + | 0.326339i | ||||
\(990\) | 2.42447 | 0.0770546 | ||||||||
\(991\) | 10.5406 | + | 12.1645i | 0.334833 | + | 0.386418i | 0.898052 | − | 0.439890i | \(-0.144983\pi\) |
−0.563219 | + | 0.826308i | \(0.690437\pi\) | |||||||
\(992\) | −32.8853 | − | 21.1341i | −1.04411 | − | 0.671008i | ||||
\(993\) | −3.19598 | + | 22.2285i | −0.101421 | + | 0.705400i | ||||
\(994\) | −12.7741 | + | 27.9715i | −0.405171 | + | 0.887201i | ||||
\(995\) | 1.57955 | + | 10.9860i | 0.0500751 | + | 0.348280i | ||||
\(996\) | 9.30320 | + | 2.73167i | 0.294783 | + | 0.0865562i | ||||
\(997\) | 14.2420 | − | 9.15281i | 0.451050 | − | 0.289872i | −0.295326 | − | 0.955397i | \(-0.595428\pi\) |
0.746376 | + | 0.665524i | \(0.231792\pi\) | |||||||
\(998\) | 9.04144 | + | 19.7980i | 0.286202 | + | 0.626694i | ||||
\(999\) | −11.0240 | + | 3.23693i | −0.348783 | + | 0.102412i |
(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 | 69.2.e.c.13.2 | ✓ | 20 | |
3.2 | odd | 2 | 207.2.i.d.82.1 | 20 | |||
23.4 | even | 11 | 1587.2.a.u.1.5 | 10 | |||
23.16 | even | 11 | inner | 69.2.e.c.16.2 | yes | 20 | |
23.19 | odd | 22 | 1587.2.a.t.1.5 | 10 | |||
69.50 | odd | 22 | 4761.2.a.bt.1.6 | 10 | |||
69.62 | odd | 22 | 207.2.i.d.154.1 | 20 | |||
69.65 | even | 22 | 4761.2.a.bu.1.6 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.e.c.13.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
69.2.e.c.16.2 | yes | 20 | 23.16 | even | 11 | inner | |
207.2.i.d.82.1 | 20 | 3.2 | odd | 2 | |||
207.2.i.d.154.1 | 20 | 69.62 | odd | 22 | |||
1587.2.a.t.1.5 | 10 | 23.19 | odd | 22 | |||
1587.2.a.u.1.5 | 10 | 23.4 | even | 11 | |||
4761.2.a.bt.1.6 | 10 | 69.50 | odd | 22 | |||
4761.2.a.bu.1.6 | 10 | 69.65 | even | 22 |