Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(17,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.bd (of order \(18\), degree \(6\), not 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 17.19 | ||
Character | \(\chi\) | \(=\) | 567.17 |
Dual form | 567.2.bd.a.467.19 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.06025 | − | 0.363278i | 1.45682 | − | 0.256876i | 0.611545 | − | 0.791210i | \(-0.290548\pi\) |
0.845274 | + | 0.534333i | \(0.179437\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.23328 | − | 0.812849i | 1.11664 | − | 0.406425i | ||||
\(5\) | −0.338534 | + | 0.123216i | −0.151397 | + | 0.0551040i | −0.416607 | − | 0.909087i | \(-0.636781\pi\) |
0.265210 | + | 0.964191i | \(0.414559\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.84499 | − | 1.89632i | 0.697340 | − | 0.716741i | ||||
\(8\) | 0.682329 | − | 0.393943i | 0.241240 | − | 0.139280i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.652704 | + | 0.376839i | −0.206403 | + | 0.119167i | ||||
\(11\) | 2.14028 | − | 5.88038i | 0.645320 | − | 1.77300i | 0.0109905 | − | 0.999940i | \(-0.496502\pi\) |
0.634330 | − | 0.773063i | \(-0.281276\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.429890 | + | 1.18111i | 0.119230 | + | 0.327582i | 0.984923 | − | 0.172994i | \(-0.0553440\pi\) |
−0.865693 | + | 0.500576i | \(0.833122\pi\) | |||||||
\(14\) | 3.11225 | − | 4.57714i | 0.831784 | − | 1.22329i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.37852 | + | 1.99582i | −0.594631 | + | 0.498954i | ||||
\(17\) | 0.468609 | + | 0.811655i | 0.113654 | + | 0.196855i | 0.917241 | − | 0.398332i | \(-0.130411\pi\) |
−0.803587 | + | 0.595188i | \(0.797078\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.61941 | + | 3.82172i | 1.51860 | + | 0.876762i | 0.999760 | + | 0.0218885i | \(0.00696789\pi\) |
0.518836 | + | 0.854874i | \(0.326365\pi\) | |||||||
\(20\) | −0.655887 | + | 0.550354i | −0.146661 | + | 0.123063i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.27331 | − | 12.8926i | 0.484672 | − | 2.74871i | ||||
\(23\) | −1.68421 | − | 0.296971i | −0.351181 | − | 0.0619228i | −0.00472501 | − | 0.999989i | \(-0.501504\pi\) |
−0.346456 | + | 0.938066i | \(0.612615\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.73080 | + | 3.13051i | −0.746160 | + | 0.626102i | ||||
\(26\) | 1.31476 | + | 2.27722i | 0.257845 | + | 0.446600i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.57896 | − | 5.73471i | 0.487378 | − | 1.08376i | ||||
\(29\) | 0.731568 | − | 2.00997i | 0.135849 | − | 0.373241i | −0.853051 | − | 0.521828i | \(-0.825250\pi\) |
0.988899 | + | 0.148587i | \(0.0474725\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.98478 | + | 5.45314i | 0.356477 | + | 0.979412i | 0.980242 | + | 0.197801i | \(0.0633799\pi\) |
−0.623765 | + | 0.781612i | \(0.714398\pi\) | |||||||
\(32\) | −5.18821 | + | 6.18306i | −0.917154 | + | 1.09302i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.26031 | + | 1.50198i | 0.216141 | + | 0.257587i | ||||
\(35\) | −0.390934 | + | 0.869301i | −0.0660799 | + | 0.146939i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.33513 | −0.548292 | −0.274146 | − | 0.961688i | \(-0.588395\pi\) | ||||
−0.274146 | + | 0.961688i | \(0.588395\pi\) | |||||||
\(38\) | 15.0260 | + | 5.46902i | 2.43754 | + | 0.887192i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.182451 | + | 0.217437i | −0.0288481 | + | 0.0343798i | ||||
\(41\) | −8.66669 | + | 3.15442i | −1.35351 | + | 0.492637i | −0.914041 | − | 0.405621i | \(-0.867055\pi\) |
−0.439468 | + | 0.898258i | \(0.644833\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.688669 | − | 3.90564i | −0.105021 | − | 0.595604i | −0.991212 | − | 0.132284i | \(-0.957769\pi\) |
0.886191 | − | 0.463320i | \(-0.153342\pi\) | |||||||
\(44\) | − | 14.8723i | − | 2.24208i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.57777 | −0.527514 | ||||||||
\(47\) | −4.74048 | − | 1.72539i | −0.691470 | − | 0.251674i | −0.0277052 | − | 0.999616i | \(-0.508820\pi\) |
−0.663764 | + | 0.747942i | \(0.731042\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.192044 | − | 6.99737i | −0.0274348 | − | 0.999624i | ||||
\(50\) | −6.54914 | + | 7.80496i | −0.926189 | + | 1.10379i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.92013 | + | 2.28833i | 0.266275 | + | 0.317334i | ||||
\(53\) | −3.01037 | − | 1.73804i | −0.413506 | − | 0.238738i | 0.278789 | − | 0.960352i | \(-0.410067\pi\) |
−0.692295 | + | 0.721614i | \(0.743400\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.25443i | 0.303987i | ||||||||
\(56\) | 0.511847 | − | 2.02073i | 0.0683984 | − | 0.270032i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.777037 | − | 4.40680i | 0.102030 | − | 0.578641i | ||||
\(59\) | −4.89583 | − | 4.10809i | −0.637383 | − | 0.534828i | 0.265830 | − | 0.964020i | \(-0.414354\pi\) |
−0.903213 | + | 0.429192i | \(0.858798\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.57768 | + | 9.82960i | −0.458075 | + | 1.25855i | 0.468840 | + | 0.883283i | \(0.344672\pi\) |
−0.926916 | + | 0.375269i | \(0.877550\pi\) | |||||||
\(62\) | 6.07015 | + | 10.5138i | 0.770910 | + | 1.33526i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.33790 | + | 9.24552i | −0.667238 | + | 1.15569i | ||||
\(65\) | −0.291065 | − | 0.346878i | −0.0361022 | − | 0.0430249i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.0504771 | + | 0.286270i | −0.00616676 | + | 0.0349734i | −0.987736 | − | 0.156134i | \(-0.950097\pi\) |
0.981569 | + | 0.191108i | \(0.0612079\pi\) | |||||||
\(68\) | 1.70629 | + | 1.43175i | 0.206918 | + | 0.173625i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.489624 | + | 1.93300i | −0.0585213 | + | 0.231037i | ||||
\(71\) | 4.18316 | + | 2.41515i | 0.496450 | + | 0.286625i | 0.727246 | − | 0.686377i | \(-0.240800\pi\) |
−0.230797 | + | 0.973002i | \(0.574133\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 3.69086i | − | 0.431983i | −0.976395 | − | 0.215992i | \(-0.930702\pi\) | ||
0.976395 | − | 0.215992i | \(-0.0692984\pi\) | |||||||
\(74\) | −6.87121 | + | 1.21158i | −0.798762 | + | 0.140843i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 17.8895 | + | 3.15440i | 2.05207 | + | 0.361835i | ||||
\(77\) | −7.20228 | − | 14.9079i | −0.820776 | − | 1.69891i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.79265 | + | 10.1666i | 0.201689 | + | 1.14384i | 0.902565 | + | 0.430553i | \(0.141682\pi\) |
−0.700876 | + | 0.713283i | \(0.747207\pi\) | |||||||
\(80\) | 0.559294 | − | 0.968725i | 0.0625309 | − | 0.108307i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −16.7096 | + | 9.64732i | −1.84527 | + | 1.06537i | ||||
\(83\) | 6.06917 | + | 2.20900i | 0.666178 | + | 0.242469i | 0.652901 | − | 0.757443i | \(-0.273552\pi\) |
0.0132766 | + | 0.999912i | \(0.495774\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.258650 | − | 0.217033i | −0.0280545 | − | 0.0235405i | ||||
\(86\) | −2.83766 | − | 7.79642i | −0.305993 | − | 0.840709i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.856156 | − | 4.85550i | −0.0912665 | − | 0.517598i | ||||
\(89\) | −2.56195 | + | 4.43743i | −0.271566 | + | 0.470367i | −0.969263 | − | 0.246026i | \(-0.920875\pi\) |
0.697697 | + | 0.716393i | \(0.254208\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.03291 | + | 1.36393i | 0.317935 | + | 0.142979i | ||||
\(92\) | −4.00271 | + | 0.705785i | −0.417311 | + | 0.0735832i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −10.3934 | − | 1.83263i | −1.07199 | − | 0.189022i | ||||
\(95\) | −2.71179 | − | 0.478163i | −0.278224 | − | 0.0490584i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.91567 | − | 1.39575i | 0.803714 | − | 0.141717i | 0.243324 | − | 0.969945i | \(-0.421762\pi\) |
0.560390 | + | 0.828229i | \(0.310651\pi\) | |||||||
\(98\) | −2.93765 | − | 14.3466i | −0.296747 | − | 1.44922i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −5.78730 | + | 10.0239i | −0.578730 | + | 1.00239i | ||||
\(101\) | 2.47268 | + | 14.0233i | 0.246041 | + | 1.39537i | 0.818062 | + | 0.575130i | \(0.195048\pi\) |
−0.572021 | + | 0.820239i | \(0.693840\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.18829 | − | 6.01227i | −0.215618 | − | 0.592406i | 0.783979 | − | 0.620787i | \(-0.213187\pi\) |
−0.999597 | + | 0.0283812i | \(0.990965\pi\) | |||||||
\(104\) | 0.758617 | + | 0.636556i | 0.0743886 | + | 0.0624194i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.83352 | − | 2.48720i | −0.663730 | − | 0.241578i | ||||
\(107\) | −2.81413 | + | 1.62474i | −0.272053 | + | 0.157070i | −0.629820 | − | 0.776741i | \(-0.716871\pi\) |
0.357767 | + | 0.933811i | \(0.383538\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.30335 | − | 10.9177i | 0.603751 | − | 1.04573i | −0.388496 | − | 0.921450i | \(-0.627005\pi\) |
0.992247 | − | 0.124278i | \(-0.0396613\pi\) | |||||||
\(110\) | 0.818985 | + | 4.64469i | 0.0780871 | + | 0.442854i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.603640 | + | 8.19269i | −0.0570386 | + | 0.774137i | ||||
\(113\) | 14.5530 | + | 2.56609i | 1.36903 | + | 0.241397i | 0.809358 | − | 0.587315i | \(-0.199815\pi\) |
0.559674 | + | 0.828713i | \(0.310926\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.606753 | − | 0.106987i | 0.0565800 | − | 0.00997659i | ||||
\(116\) | − | 5.08348i | − | 0.471989i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −11.5790 | − | 6.68515i | −1.06594 | − | 0.615418i | ||||
\(119\) | 2.40374 | + | 0.608861i | 0.220350 | + | 0.0558142i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −21.5716 | − | 18.1007i | −1.96105 | − | 1.64552i | ||||
\(122\) | −3.80005 | + | 21.5512i | −0.344041 | + | 1.95115i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 8.86515 | + | 10.5651i | 0.796114 | + | 0.948772i | ||||
\(125\) | 1.77792 | − | 3.07945i | 0.159022 | − | 0.275435i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.01123 | + | 12.1438i | 0.622146 | + | 1.07759i | 0.989085 | + | 0.147344i | \(0.0470724\pi\) |
−0.366939 | + | 0.930245i | \(0.619594\pi\) | |||||||
\(128\) | −2.11756 | + | 5.81795i | −0.187168 | + | 0.514239i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.725681 | − | 0.608918i | −0.0636464 | − | 0.0534057i | ||||
\(131\) | −0.455349 | + | 2.58241i | −0.0397841 | + | 0.225627i | −0.998217 | − | 0.0596917i | \(-0.980988\pi\) |
0.958433 | + | 0.285318i | \(0.0920993\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 19.4599 | − | 5.50148i | 1.68739 | − | 0.477039i | ||||
\(134\) | 0.608125i | 0.0525340i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.639491 | + | 0.369210i | 0.0548359 | + | 0.0316595i | ||||
\(137\) | 6.26152 | + | 7.46219i | 0.534958 | + | 0.637538i | 0.964049 | − | 0.265723i | \(-0.0856107\pi\) |
−0.429092 | + | 0.903261i | \(0.641166\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.0836111 | + | 0.0996438i | −0.00709180 | + | 0.00845168i | −0.769579 | − | 0.638552i | \(-0.779534\pi\) |
0.762487 | + | 0.647004i | \(0.223978\pi\) | |||||||
\(140\) | −0.166456 | + | 2.25917i | −0.0140681 | + | 0.190934i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 9.49573 | + | 3.45616i | 0.796864 | + | 0.290035i | ||||
\(143\) | 7.86549 | 0.657745 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.770583i | 0.0639934i | ||||||||
\(146\) | −1.34081 | − | 7.60411i | −0.110966 | − | 0.629321i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.44829 | + | 2.71096i | −0.612246 | + | 0.222839i | ||||
\(149\) | 9.24727 | − | 11.0205i | 0.757566 | − | 0.902832i | −0.240125 | − | 0.970742i | \(-0.577189\pi\) |
0.997691 | + | 0.0679097i | \(0.0216330\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −19.0335 | − | 6.92763i | −1.54892 | − | 0.563762i | −0.580759 | − | 0.814075i | \(-0.697244\pi\) |
−0.968165 | + | 0.250313i | \(0.919466\pi\) | |||||||
\(152\) | 6.02215 | 0.488461 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −20.2542 | − | 28.0976i | −1.63213 | − | 2.26417i | ||||
\(155\) | −1.34383 | − | 1.60152i | −0.107939 | − | 0.128637i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.54977 | − | 3.03870i | 0.203494 | − | 0.242515i | −0.654640 | − | 0.755941i | \(-0.727180\pi\) |
0.858134 | + | 0.513426i | \(0.171624\pi\) | |||||||
\(158\) | 7.38664 | + | 20.2946i | 0.587649 | + | 1.61455i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.994530 | − | 2.73245i | 0.0786245 | − | 0.216019i | ||||
\(161\) | −3.67049 | + | 2.64588i | −0.289275 | + | 0.208525i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.65872 | − | 14.9973i | −0.678203 | − | 1.17468i | −0.975522 | − | 0.219904i | \(-0.929426\pi\) |
0.297318 | − | 0.954778i | \(-0.403908\pi\) | |||||||
\(164\) | −16.7911 | + | 14.0894i | −1.31117 | + | 1.10020i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 13.3065 | + | 2.34630i | 1.03279 | + | 0.182108i | ||||
\(167\) | 2.13178 | − | 12.0899i | 0.164962 | − | 0.935548i | −0.784141 | − | 0.620583i | \(-0.786896\pi\) |
0.949103 | − | 0.314965i | \(-0.101993\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.74835 | − | 7.34074i | 0.672950 | − | 0.564672i | ||||
\(170\) | −0.611727 | − | 0.353181i | −0.0469173 | − | 0.0270877i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.71269 | − | 8.16261i | −0.359339 | − | 0.622393i | ||||
\(173\) | −16.1769 | + | 13.5741i | −1.22991 | + | 1.03202i | −0.231664 | + | 0.972796i | \(0.574417\pi\) |
−0.998245 | + | 0.0592207i | \(0.981138\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.946831 | + | 12.8505i | −0.0715737 | + | 0.971409i | ||||
\(176\) | 6.64546 | + | 18.2582i | 0.500920 | + | 1.37627i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.66625 | + | 10.0729i | −0.274797 | + | 0.754998i | ||||
\(179\) | −8.13538 | + | 4.69697i | −0.608067 | + | 0.351068i | −0.772209 | − | 0.635369i | \(-0.780848\pi\) |
0.164141 | + | 0.986437i | \(0.447515\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.05463 | − | 4.65035i | 0.598696 | − | 0.345657i | −0.169832 | − | 0.985473i | \(-0.554323\pi\) |
0.768529 | + | 0.639816i | \(0.220989\pi\) | |||||||
\(182\) | 6.74405 | + | 1.70825i | 0.499902 | + | 0.126624i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.26617 | + | 0.460849i | −0.0933434 | + | 0.0339742i | ||||
\(185\) | 1.12906 | − | 0.410943i | 0.0830098 | − | 0.0302131i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.77580 | − | 1.01843i | 0.422369 | − | 0.0744750i | ||||
\(188\) | −11.9893 | −0.874411 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.76069 | −0.417924 | ||||||||
\(191\) | −8.98811 | + | 1.58485i | −0.650357 | + | 0.114675i | −0.489087 | − | 0.872235i | \(-0.662670\pi\) |
−0.161270 | + | 0.986910i | \(0.551559\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.29363 | − | 1.19878i | 0.237081 | − | 0.0862902i | −0.220748 | − | 0.975331i | \(-0.570850\pi\) |
0.457828 | + | 0.889041i | \(0.348627\pi\) | |||||||
\(194\) | 15.8012 | − | 5.75118i | 1.13446 | − | 0.412911i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.11669 | − | 15.4710i | −0.436906 | − | 1.10507i | ||||
\(197\) | 17.0883 | − | 9.86593i | 1.21749 | − | 0.702918i | 0.253110 | − | 0.967438i | \(-0.418547\pi\) |
0.964380 | + | 0.264519i | \(0.0852132\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.64829 | − | 5.57044i | 0.683949 | − | 0.394878i | −0.117392 | − | 0.993086i | \(-0.537453\pi\) |
0.801341 | + | 0.598207i | \(0.204120\pi\) | |||||||
\(200\) | −1.31239 | + | 3.60576i | −0.0927999 | + | 0.254966i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.1887 | + | 27.9932i | 0.716875 | + | 1.96960i | ||||
\(203\) | −2.46180 | − | 5.09564i | −0.172785 | − | 0.357644i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.54530 | − | 2.13576i | 0.177771 | − | 0.149168i | ||||
\(206\) | −6.69255 | − | 11.5918i | −0.466292 | − | 0.807641i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.37979 | − | 1.95132i | −0.234346 | − | 0.135300i | ||||
\(209\) | 36.6406 | − | 30.7451i | 2.53448 | − | 2.12668i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.40219 | + | 7.95221i | −0.0965307 | + | 0.547453i | 0.897737 | + | 0.440532i | \(0.145210\pi\) |
−0.994268 | + | 0.106921i | \(0.965901\pi\) | |||||||
\(212\) | −8.13578 | − | 1.43456i | −0.558767 | − | 0.0985258i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.20759 | + | 4.36969i | −0.355984 | + | 0.298706i | ||||
\(215\) | 0.714376 | + | 1.23734i | 0.0487201 | + | 0.0843856i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.0028 | + | 6.29720i | 0.950570 | + | 0.427481i | ||||
\(218\) | 9.02032 | − | 24.7831i | 0.610933 | − | 1.67853i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.83251 | + | 5.03478i | 0.123548 | + | 0.339445i | ||||
\(221\) | −0.757207 | + | 0.902404i | −0.0509352 | + | 0.0607023i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.16647 | − | 4.96540i | −0.279007 | − | 0.332508i | 0.608282 | − | 0.793721i | \(-0.291859\pi\) |
−0.887290 | + | 0.461213i | \(0.847414\pi\) | |||||||
\(224\) | 2.15288 | + | 21.2462i | 0.143845 | + | 1.41957i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 30.9151 | 2.05644 | ||||||||
\(227\) | −6.51828 | − | 2.37246i | −0.432634 | − | 0.157466i | 0.116518 | − | 0.993189i | \(-0.462827\pi\) |
−0.549152 | + | 0.835723i | \(0.685049\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.8635 | + | 14.1384i | −0.783964 | + | 0.934292i | −0.999105 | − | 0.0422913i | \(-0.986534\pi\) |
0.215142 | + | 0.976583i | \(0.430979\pi\) | |||||||
\(230\) | 1.21120 | − | 0.440840i | 0.0798641 | − | 0.0290682i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.292641 | − | 1.65965i | −0.0192129 | − | 0.108962i | ||||
\(233\) | − | 24.0601i | − | 1.57623i | −0.615529 | − | 0.788115i | \(-0.711057\pi\) | ||
0.615529 | − | 0.788115i | \(-0.288943\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.81741 | 0.118555 | ||||||||
\(236\) | −14.2730 | − | 5.19496i | −0.929096 | − | 0.338163i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.17349 | + | 0.381184i | 0.335347 | + | 0.0247085i | ||||
\(239\) | 3.56306 | − | 4.24628i | 0.230475 | − | 0.274669i | −0.638396 | − | 0.769708i | \(-0.720402\pi\) |
0.868871 | + | 0.495039i | \(0.164846\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.55253 | − | 7.80900i | −0.422086 | − | 0.503022i | 0.512536 | − | 0.858666i | \(-0.328706\pi\) |
−0.934622 | + | 0.355644i | \(0.884262\pi\) | |||||||
\(242\) | −51.0185 | − | 29.4556i | −3.27960 | − | 1.89348i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 24.8604i | 1.59153i | ||||||||
\(245\) | 0.927203 | + | 2.34518i | 0.0592368 | + | 0.149828i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.66826 | + | 9.46120i | −0.106149 | + | 0.602001i | ||||
\(248\) | 3.50249 | + | 2.93894i | 0.222409 | + | 0.186623i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.54427 | − | 6.99034i | 0.160914 | − | 0.442108i | ||||
\(251\) | 10.3890 | + | 17.9942i | 0.655746 | + | 1.13579i | 0.981706 | + | 0.190402i | \(0.0609792\pi\) |
−0.325960 | + | 0.945384i | \(0.605688\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.35099 | + | 9.26818i | −0.336414 | + | 0.582685i | ||||
\(254\) | 18.8565 | + | 22.4723i | 1.18316 | + | 1.41004i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.45849 | − | 8.27153i | 0.0911558 | − | 0.516970i | ||||
\(257\) | −19.4196 | − | 16.2950i | −1.21136 | − | 1.01645i | −0.999231 | − | 0.0392104i | \(-0.987516\pi\) |
−0.212129 | − | 0.977242i | \(-0.568040\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.15327 | + | 6.32447i | −0.382346 | + | 0.392983i | ||||
\(260\) | −0.931991 | − | 0.538085i | −0.0577996 | − | 0.0333706i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.48585i | 0.338917i | ||||||||
\(263\) | −3.91251 | + | 0.689881i | −0.241256 | + | 0.0425399i | −0.292968 | − | 0.956122i | \(-0.594643\pi\) |
0.0517128 | + | 0.998662i | \(0.483532\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.23327 | + | 0.217458i | 0.0757591 | + | 0.0133584i | ||||
\(266\) | 38.0938 | − | 18.4038i | 2.33568 | − | 1.12841i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.119964 | + | 0.680352i | 0.00732799 | + | 0.0415591i | ||||
\(269\) | −2.35052 | + | 4.07121i | −0.143313 | + | 0.248226i | −0.928742 | − | 0.370726i | \(-0.879109\pi\) |
0.785429 | + | 0.618952i | \(0.212442\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.44995 | + | 4.30123i | −0.452552 | + | 0.261281i | −0.708907 | − | 0.705302i | \(-0.750812\pi\) |
0.256355 | + | 0.966583i | \(0.417478\pi\) | |||||||
\(272\) | −2.73451 | − | 0.995282i | −0.165804 | − | 0.0603478i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 15.6112 | + | 13.0993i | 0.943105 | + | 0.791359i | ||||
\(275\) | 10.4236 | + | 28.6387i | 0.628569 | + | 1.72698i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.75863 | + | 15.6450i | 0.165750 | + | 0.940015i | 0.948288 | + | 0.317412i | \(0.102814\pi\) |
−0.782538 | + | 0.622603i | \(0.786075\pi\) | |||||||
\(278\) | −0.136062 | + | 0.235665i | −0.00816043 | + | 0.0141343i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0757094 | + | 0.747154i | 0.00452450 | + | 0.0446510i | ||||
\(281\) | −21.2686 | + | 3.75023i | −1.26878 | + | 0.223720i | −0.767208 | − | 0.641398i | \(-0.778355\pi\) |
−0.501569 | + | 0.865118i | \(0.667244\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.47736 | − | 0.789480i | −0.266152 | − | 0.0469297i | 0.0389797 | − | 0.999240i | \(-0.487589\pi\) |
−0.305131 | + | 0.952310i | \(0.598700\pi\) | |||||||
\(284\) | 11.3053 | + | 1.99344i | 0.670848 | + | 0.118289i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 16.2049 | − | 2.85736i | 0.958216 | − | 0.168959i | ||||
\(287\) | −10.0082 | + | 22.2547i | −0.590763 | + | 1.31365i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.06081 | − | 13.9617i | 0.474165 | − | 0.821278i | ||||
\(290\) | 0.279936 | + | 1.58760i | 0.0164384 | + | 0.0932268i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.00012 | − | 8.24275i | −0.175568 | − | 0.482370i | ||||
\(293\) | −6.06074 | − | 5.08556i | −0.354072 | − | 0.297102i | 0.448351 | − | 0.893858i | \(-0.352012\pi\) |
−0.802423 | + | 0.596756i | \(0.796456\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.16359 | + | 0.787482i | 0.125969 | + | 0.0458490i | ||||
\(296\) | −2.27565 | + | 1.31385i | −0.132270 | + | 0.0763660i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.0482 | − | 26.0643i | 0.871720 | − | 1.50986i | ||||
\(299\) | −0.373267 | − | 2.11690i | −0.0215866 | − | 0.122424i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.67691 | − | 5.89991i | −0.500129 | − | 0.340065i | ||||
\(302\) | −41.7305 | − | 7.35821i | −2.40132 | − | 0.423417i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −23.3719 | + | 4.12109i | −1.34047 | + | 0.236361i | ||||
\(305\) | − | 3.76849i | − | 0.215783i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.6860 | − | 9.63367i | −0.952321 | − | 0.549823i | −0.0585197 | − | 0.998286i | \(-0.518638\pi\) |
−0.893801 | + | 0.448464i | \(0.851971\pi\) | |||||||
\(308\) | −28.2026 | − | 27.4392i | −1.60699 | − | 1.56349i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.35043 | − | 2.81134i | −0.190292 | − | 0.159674i | ||||
\(311\) | 2.30794 | − | 13.0890i | 0.130871 | − | 0.742208i | −0.846775 | − | 0.531951i | \(-0.821459\pi\) |
0.977646 | − | 0.210257i | \(-0.0674300\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.61460 | − | 11.4582i | −0.543449 | − | 0.647658i | 0.422508 | − | 0.906359i | \(-0.361150\pi\) |
−0.965957 | + | 0.258701i | \(0.916705\pi\) | |||||||
\(314\) | 4.14928 | − | 7.18676i | 0.234157 | − | 0.405573i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.2675 | + | 21.2479i | 0.690098 | + | 1.19528i | ||||
\(317\) | −5.67633 | + | 15.5956i | −0.318815 | + | 0.875936i | 0.671981 | + | 0.740569i | \(0.265444\pi\) |
−0.990795 | + | 0.135367i | \(0.956779\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −10.2536 | − | 8.60379i | −0.574092 | − | 0.481720i | ||||
\(320\) | 0.667863 | − | 3.78764i | 0.0373347 | − | 0.211736i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.60095 | + | 6.78460i | −0.367856 | + | 0.378091i | ||||
\(323\) | 7.16357i | 0.398592i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.30133 | − | 3.06072i | −0.294065 | − | 0.169778i | ||||
\(326\) | −23.2874 | − | 27.7528i | −1.28977 | − | 1.53708i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.67087 | + | 5.56653i | −0.257906 | + | 0.307360i | ||||
\(329\) | −12.0180 | + | 5.80612i | −0.662574 | + | 0.320102i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.5799 | + | 7.85444i | 1.18614 | + | 0.431719i | 0.858366 | − | 0.513037i | \(-0.171480\pi\) |
0.327773 | + | 0.944757i | \(0.393702\pi\) | |||||||
\(332\) | 15.3498 | 0.842428 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | − | 25.6828i | − | 1.40530i | ||||||
\(335\) | −0.0181849 | − | 0.103132i | −0.000993547 | − | 0.00563469i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.8190 | − | 9.39733i | 1.40645 | − | 0.511905i | 0.476363 | − | 0.879249i | \(-0.341955\pi\) |
0.930085 | + | 0.367344i | \(0.119733\pi\) | |||||||
\(338\) | 15.3571 | − | 18.3019i | 0.835315 | − | 0.995490i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.754053 | − | 0.274453i | −0.0408943 | − | 0.0148843i | ||||
\(341\) | 36.3145 | 1.96654 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.6235 | − | 12.5459i | −0.735602 | − | 0.677414i | ||||
\(344\) | −2.00849 | − | 2.39363i | −0.108291 | − | 0.129056i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −28.3974 | + | 33.8427i | −1.52665 | + | 1.81940i | ||||
\(347\) | 3.41079 | + | 9.37108i | 0.183101 | + | 0.503066i | 0.996953 | − | 0.0780065i | \(-0.0248555\pi\) |
−0.813852 | + | 0.581072i | \(0.802633\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.55483 | − | 26.2517i | 0.511458 | − | 1.40522i | −0.368259 | − | 0.929723i | \(-0.620046\pi\) |
0.879717 | − | 0.475497i | \(-0.157732\pi\) | |||||||
\(350\) | 2.71761 | + | 26.8193i | 0.145262 | + | 1.43355i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 25.2545 | + | 43.7421i | 1.34607 | + | 2.33146i | ||||
\(353\) | 18.1012 | − | 15.1887i | 0.963429 | − | 0.808413i | −0.0180788 | − | 0.999837i | \(-0.505755\pi\) |
0.981507 | + | 0.191424i | \(0.0613105\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.71373 | − | 0.302177i | −0.0909552 | − | 0.0160379i | ||||
\(356\) | −2.11461 | + | 11.9925i | −0.112074 | + | 0.635603i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.0546 | + | 12.6323i | −0.795662 | + | 0.667640i | ||||
\(359\) | −0.0258053 | − | 0.0148987i | −0.00136195 | − | 0.000786324i | 0.499319 | − | 0.866418i | \(-0.333584\pi\) |
−0.500681 | + | 0.865632i | \(0.666917\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 19.7111 | + | 34.1405i | 1.03742 | + | 1.79687i | ||||
\(362\) | 14.9052 | − | 12.5070i | 0.783401 | − | 0.657351i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.88202 | + | 0.580749i | 0.413130 | + | 0.0304395i | ||||
\(365\) | 0.454775 | + | 1.24948i | 0.0238040 | + | 0.0654010i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.36231 | − | 14.7328i | 0.279910 | − | 0.769047i | −0.717462 | − | 0.696598i | \(-0.754696\pi\) |
0.997372 | − | 0.0724491i | \(-0.0230815\pi\) | |||||||
\(368\) | 4.59862 | − | 2.65502i | 0.239720 | − | 0.138402i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.17685 | − | 1.25681i | 0.113169 | − | 0.0653383i | ||||
\(371\) | −8.84997 | + | 2.50196i | −0.459467 | + | 0.129895i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.4007 | + | 5.24143i | −0.745640 | + | 0.271391i | −0.686770 | − | 0.726875i | \(-0.740972\pi\) |
−0.0588703 | + | 0.998266i | \(0.518750\pi\) | |||||||
\(374\) | 11.5296 | − | 4.19645i | 0.596183 | − | 0.216993i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.91427 | + | 0.690191i | −0.201863 | + | 0.0355939i | ||||
\(377\) | 2.68849 | 0.138464 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.9559 | 0.922330 | 0.461165 | − | 0.887314i | \(-0.347432\pi\) | ||||
0.461165 | + | 0.887314i | \(0.347432\pi\) | |||||||
\(380\) | −6.44488 | + | 1.13641i | −0.330616 | + | 0.0582964i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −17.9420 | + | 6.53037i | −0.917995 | + | 0.334123i | ||||
\(383\) | 32.4762 | − | 11.8204i | 1.65945 | − | 0.603992i | 0.669177 | − | 0.743103i | \(-0.266647\pi\) |
0.990277 | + | 0.139111i | \(0.0444245\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.27511 | + | 4.15939i | 0.217880 | + | 0.211982i | ||||
\(386\) | 6.35021 | − | 3.66630i | 0.323217 | − | 0.186610i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 16.5434 | − | 9.55134i | 0.839864 | − | 0.484896i | ||||
\(389\) | −0.118139 | + | 0.324583i | −0.00598986 | + | 0.0164570i | −0.942652 | − | 0.333779i | \(-0.891676\pi\) |
0.936662 | + | 0.350236i | \(0.113898\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.548197 | − | 1.50616i | −0.0277235 | − | 0.0761697i | ||||
\(392\) | −2.88760 | − | 4.69885i | −0.145846 | − | 0.237328i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 31.6221 | − | 26.5341i | 1.59310 | − | 1.33677i | ||||
\(395\) | −1.85957 | − | 3.22087i | −0.0935652 | − | 0.162060i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.27062 | + | 1.31094i | 0.113959 | + | 0.0657943i | 0.555896 | − | 0.831252i | \(-0.312375\pi\) |
−0.441937 | + | 0.897046i | \(0.645709\pi\) | |||||||
\(398\) | 17.8543 | − | 14.9815i | 0.894955 | − | 0.750956i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.62586 | − | 14.8920i | 0.131293 | − | 0.744599i | ||||
\(401\) | −17.0025 | − | 2.99801i | −0.849066 | − | 0.149713i | −0.267848 | − | 0.963461i | \(-0.586313\pi\) |
−0.581218 | + | 0.813748i | \(0.697424\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.58754 | + | 4.68850i | −0.278335 | + | 0.233551i | ||||
\(404\) | 16.9210 | + | 29.3081i | 0.841852 | + | 1.45813i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.92307 | − | 9.60400i | −0.343586 | − | 0.476638i | ||||
\(407\) | −7.13813 | + | 19.6118i | −0.353824 | + | 0.972123i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.89678 | − | 21.6962i | −0.390471 | − | 1.07281i | −0.966787 | − | 0.255583i | \(-0.917733\pi\) |
0.576317 | − | 0.817227i | \(-0.304490\pi\) | |||||||
\(410\) | 4.46808 | − | 5.32485i | 0.220663 | − | 0.262975i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.77413 | − | 11.6484i | −0.481537 | − | 0.573873i | ||||
\(413\) | −16.8230 | + | 1.70468i | −0.827805 | + | 0.0838817i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.32681 | −0.114218 | ||||||||
\(416\) | −9.53326 | − | 3.46982i | −0.467406 | − | 0.170122i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 64.3198 | − | 76.6534i | 3.14599 | − | 3.74924i | ||||
\(419\) | 21.7961 | − | 7.93314i | 1.06481 | − | 0.387559i | 0.250577 | − | 0.968097i | \(-0.419380\pi\) |
0.814234 | + | 0.580537i | \(0.197157\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.28202 | − | 18.6133i | −0.159956 | − | 0.907156i | −0.954114 | − | 0.299444i | \(-0.903199\pi\) |
0.794158 | − | 0.607712i | \(-0.207912\pi\) | |||||||
\(422\) | 16.8929i | 0.822336i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.73875 | −0.133005 | ||||||||
\(425\) | −4.28918 | − | 1.56114i | −0.208056 | − | 0.0757262i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.0393 | + | 24.9199i | 0.582621 | + | 1.20596i | ||||
\(428\) | −4.96409 | + | 5.91598i | −0.239949 | + | 0.285959i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.92129 | + | 2.28971i | 0.0926530 | + | 0.110420i | ||||
\(431\) | 35.0297 | + | 20.2244i | 1.68732 | + | 0.974175i | 0.956557 | + | 0.291545i | \(0.0941692\pi\) |
0.730764 | + | 0.682630i | \(0.239164\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.57490i | 0.267912i | 0.990987 | + | 0.133956i | \(0.0427681\pi\) | ||||
−0.990987 | + | 0.133956i | \(0.957232\pi\) | |||||||
\(434\) | 31.1369 | + | 7.88691i | 1.49462 | + | 0.378584i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.20271 | − | 29.5060i | 0.249165 | − | 1.41308i | ||||
\(437\) | −10.0135 | − | 8.40234i | −0.479011 | − | 0.401938i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.6900 | + | 32.1181i | −0.557934 | + | 1.53291i | 0.264694 | + | 0.964332i | \(0.414729\pi\) |
−0.822628 | + | 0.568580i | \(0.807493\pi\) | |||||||
\(440\) | 0.888115 | + | 1.53826i | 0.0423392 | + | 0.0733337i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.23221 | + | 2.13426i | −0.0586104 | + | 0.101516i | ||||
\(443\) | 8.54217 | + | 10.1802i | 0.405851 | + | 0.483674i | 0.929795 | − | 0.368079i | \(-0.119984\pi\) |
−0.523944 | + | 0.851753i | \(0.675540\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.320544 | − | 1.81790i | 0.0151953 | − | 0.0861766i | ||||
\(446\) | −10.3878 | − | 8.71640i | −0.491876 | − | 0.412733i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7.68408 | + | 27.1802i | 0.363039 | + | 1.28414i | ||||
\(449\) | 10.5259 | + | 6.07712i | 0.496747 | + | 0.286797i | 0.727369 | − | 0.686247i | \(-0.240743\pi\) |
−0.230622 | + | 0.973043i | \(0.574076\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 57.7148i | 2.71768i | ||||||||
\(452\) | 34.5869 | − | 6.09860i | 1.62683 | − | 0.286854i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −14.2912 | − | 2.51992i | −0.670718 | − | 0.118266i | ||||
\(455\) | −1.19480 | − | 0.0880333i | −0.0560132 | − | 0.00412707i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.48520 | − | 14.0943i | −0.116253 | − | 0.659303i | −0.986122 | − | 0.166021i | \(-0.946908\pi\) |
0.869869 | − | 0.493282i | \(-0.164203\pi\) | |||||||
\(458\) | −19.3057 | + | 33.4384i | −0.902095 | + | 1.56248i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.26809 | − | 0.732131i | 0.0591249 | − | 0.0341358i | ||||
\(461\) | −23.2811 | − | 8.47362i | −1.08431 | − | 0.394656i | −0.262798 | − | 0.964851i | \(-0.584645\pi\) |
−0.821509 | + | 0.570195i | \(0.806868\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.5051 | − | 11.3321i | −0.627634 | − | 0.526647i | 0.272559 | − | 0.962139i | \(-0.412130\pi\) |
−0.900193 | + | 0.435492i | \(0.856574\pi\) | |||||||
\(464\) | 2.27147 | + | 6.24082i | 0.105450 | + | 0.289723i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.74050 | − | 49.5699i | −0.404896 | − | 2.29628i | ||||
\(467\) | −1.78544 | + | 3.09247i | −0.0826202 | + | 0.143102i | −0.904375 | − | 0.426739i | \(-0.859662\pi\) |
0.821754 | + | 0.569842i | \(0.192996\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.449729 | + | 0.623884i | 0.0207665 | + | 0.0288083i | ||||
\(470\) | 3.74432 | − | 0.660225i | 0.172713 | − | 0.0304539i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.95892 | − | 0.874391i | −0.228253 | − | 0.0402471i | ||||
\(473\) | −24.4406 | − | 4.30953i | −1.12378 | − | 0.198153i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −36.6596 | + | 6.46408i | −1.68206 | + | 0.296592i | ||||
\(476\) | 5.86314 | − | 0.594113i | 0.268736 | − | 0.0272311i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5.79821 | − | 10.0428i | 0.265204 | − | 0.459347i | ||||
\(479\) | −1.11594 | − | 6.32882i | −0.0509887 | − | 0.289171i | 0.948642 | − | 0.316352i | \(-0.102458\pi\) |
−0.999631 | + | 0.0271809i | \(0.991347\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.43374 | − | 3.93917i | −0.0653729 | − | 0.179611i | ||||
\(482\) | −16.3367 | − | 13.7081i | −0.744117 | − | 0.624388i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −62.8887 | − | 22.8896i | −2.85858 | − | 1.04044i | ||||
\(485\) | −2.50775 | + | 1.44785i | −0.113871 | + | 0.0657434i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.85684 | − | 15.3405i | 0.401342 | − | 0.695144i | −0.592546 | − | 0.805536i | \(-0.701877\pi\) |
0.993888 | + | 0.110392i | \(0.0352107\pi\) | |||||||
\(488\) | 1.43114 | + | 8.11642i | 0.0647848 | + | 0.367413i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.76223 | + | 4.49484i | 0.124785 | + | 0.203056i | ||||
\(491\) | −12.0720 | − | 2.12862i | −0.544803 | − | 0.0960634i | −0.105528 | − | 0.994416i | \(-0.533653\pi\) |
−0.439274 | + | 0.898353i | \(0.644764\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.97422 | − | 0.348108i | 0.0889143 | − | 0.0156780i | ||||
\(494\) | 20.0985i | 0.904274i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.6043 | − | 9.00915i | −0.700654 | − | 0.404523i | ||||
\(497\) | 12.2978 | − | 3.47668i | 0.551630 | − | 0.155951i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.82390 | + | 3.20863i | 0.171181 | + | 0.143638i | 0.724353 | − | 0.689429i | \(-0.242138\pi\) |
−0.553172 | + | 0.833067i | \(0.686583\pi\) | |||||||
\(500\) | 1.46748 | − | 8.32248i | 0.0656276 | − | 0.372193i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 27.9408 | + | 33.2986i | 1.24706 | + | 1.48619i | ||||
\(503\) | −10.5236 | + | 18.2273i | −0.469222 | + | 0.812717i | −0.999381 | − | 0.0351814i | \(-0.988799\pi\) |
0.530158 | + | 0.847899i | \(0.322132\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.56499 | − | 4.44269i | −0.114140 | − | 0.197697i | ||||
\(506\) | −7.65746 | + | 21.0387i | −0.340415 | + | 0.935284i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 25.5292 | + | 21.4215i | 1.13267 | + | 0.950426i | ||||
\(509\) | −4.75075 | + | 26.9428i | −0.210573 | + | 1.19422i | 0.677852 | + | 0.735198i | \(0.262911\pi\) |
−0.888425 | + | 0.459021i | \(0.848200\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.99905 | − | 6.80960i | −0.309620 | − | 0.301239i | ||||
\(512\) | − | 29.9539i | − | 1.32379i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −45.9289 | − | 26.5170i | −2.02583 | − | 1.16962i | ||||
\(515\) | 1.48162 | + | 1.76573i | 0.0652879 | + | 0.0778071i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −20.2919 | + | 24.1830i | −0.892438 | + | 1.06357i | ||||
\(518\) | −10.3798 | + | 15.2653i | −0.456060 | + | 0.670721i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.335252 | − | 0.122022i | −0.0147018 | − | 0.00535101i | ||||
\(521\) | −37.9904 | −1.66439 | −0.832194 | − | 0.554485i | \(-0.812915\pi\) | ||||
−0.832194 | + | 0.554485i | \(0.812915\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.849579i | 0.0371495i | 0.999827 | + | 0.0185747i | \(0.00591287\pi\) | ||||
−0.999827 | + | 0.0185747i | \(0.994087\pi\) | |||||||
\(524\) | 1.08219 | + | 6.13740i | 0.0472756 | + | 0.268113i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.81014 | + | 2.84266i | −0.340538 | + | 0.123946i | ||||
\(527\) | −3.49598 | + | 4.16635i | −0.152287 | + | 0.181489i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.8646 | − | 6.86614i | −0.820199 | − | 0.298528i | ||||
\(530\) | 2.61984 | 0.113799 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 38.9877 | − | 28.1044i | 1.69033 | − | 1.21848i | ||||
\(533\) | −7.45145 | − | 8.88030i | −0.322758 | − | 0.384648i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.752486 | − | 0.896778i | 0.0325328 | − | 0.0387711i | ||||
\(536\) | 0.0783319 | + | 0.215215i | 0.00338342 | + | 0.00929587i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.36367 | + | 9.24162i | −0.145018 | + | 0.398434i | ||||
\(539\) | −41.5582 | − | 13.8471i | −1.79004 | − | 0.596435i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 20.4690 | + | 35.4533i | 0.880031 | + | 1.52426i | 0.851305 | + | 0.524671i | \(0.175812\pi\) |
0.0287257 | + | 0.999587i | \(0.490855\pi\) | |||||||
\(542\) | −13.7862 | + | 11.5680i | −0.592169 | + | 0.496889i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.44976 | − | 1.31359i | −0.319406 | − | 0.0563198i | ||||
\(545\) | −0.788657 | + | 4.47270i | −0.0337824 | + | 0.191589i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.03807 | + | 7.58384i | −0.386440 | + | 0.324262i | −0.815224 | − | 0.579145i | \(-0.803386\pi\) |
0.428784 | + | 0.903407i | \(0.358942\pi\) | |||||||
\(548\) | 20.0494 | + | 11.5755i | 0.856468 | + | 0.494482i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 31.8792 | + | 55.2163i | 1.35933 | + | 2.35443i | ||||
\(551\) | 12.5241 | − | 10.5089i | 0.533543 | − | 0.447696i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 22.5866 | + | 15.3579i | 0.960480 | + | 0.653084i | ||||
\(554\) | 11.3670 | + | 31.2304i | 0.482935 | + | 1.32685i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.105732 | + | 0.290496i | −0.00448403 | + | 0.0123198i | ||||
\(557\) | 27.0274 | − | 15.6043i | 1.14519 | − | 0.661175i | 0.197478 | − | 0.980307i | \(-0.436725\pi\) |
0.947710 | + | 0.319132i | \(0.103391\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.31695 | − | 2.49239i | 0.182587 | − | 0.105417i | ||||
\(560\) | −0.805121 | − | 2.84788i | −0.0340226 | − | 0.120345i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −42.4563 | + | 15.4528i | −1.79091 | + | 0.651838i | ||||
\(563\) | 15.5954 | − | 5.67626i | 0.657268 | − | 0.239226i | 0.00821159 | − | 0.999966i | \(-0.497386\pi\) |
0.649056 | + | 0.760740i | \(0.275164\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.24288 | + | 0.924461i | −0.220570 | + | 0.0388924i | ||||
\(566\) | −9.51130 | −0.399790 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.80572 | 0.159684 | ||||||||
\(569\) | −12.9515 | + | 2.28370i | −0.542956 | + | 0.0957378i | −0.438398 | − | 0.898781i | \(-0.644454\pi\) |
−0.104558 | + | 0.994519i | \(0.533343\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.3923 | + | 4.87441i | −0.560452 | + | 0.203988i | −0.606684 | − | 0.794943i | \(-0.707501\pi\) |
0.0462326 | + | 0.998931i | \(0.485278\pi\) | |||||||
\(572\) | 17.5659 | − | 6.39346i | 0.734466 | − | 0.267324i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −12.5347 | + | 49.4860i | −0.523188 | + | 2.06550i | ||||
\(575\) | 7.21311 | − | 4.16449i | 0.300807 | − | 0.173671i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.474700 | + | 0.274068i | −0.0197620 | + | 0.0114096i | −0.509848 | − | 0.860264i | \(-0.670299\pi\) |
0.490086 | + | 0.871674i | \(0.336965\pi\) | |||||||
\(578\) | 11.5353 | − | 31.6930i | 0.479806 | − | 1.31826i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.626368 | + | 1.72093i | 0.0260085 | + | 0.0714578i | ||||
\(581\) | 15.3865 | − | 7.43350i | 0.638340 | − | 0.308394i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −16.6634 | + | 13.9822i | −0.690127 | + | 0.579085i | ||||
\(584\) | −1.45399 | − | 2.51838i | −0.0601665 | − | 0.104211i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.3341 | − | 8.27581i | −0.592137 | − | 0.341871i | ||||
\(587\) | −19.8533 | + | 16.6589i | −0.819432 | + | 0.687585i | −0.952839 | − | 0.303476i | \(-0.901853\pi\) |
0.133407 | + | 0.991061i | \(0.457408\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.70228 | + | 43.6818i | −0.317367 | + | 1.79988i | ||||
\(590\) | 4.74362 | + | 0.836428i | 0.195292 | + | 0.0344352i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.93268 | − | 6.65631i | 0.326031 | − | 0.273573i | ||||
\(593\) | −1.71212 | − | 2.96547i | −0.0703082 | − | 0.121777i | 0.828728 | − | 0.559651i | \(-0.189065\pi\) |
−0.899036 | + | 0.437874i | \(0.855732\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.888768 | + | 0.0900591i | −0.0364359 | + | 0.00369206i | ||||
\(596\) | 11.6938 | − | 32.1285i | 0.478997 | − | 1.31603i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.53805 | − | 4.22576i | −0.0628956 | − | 0.172804i | ||||
\(599\) | −17.8781 | + | 21.3063i | −0.730479 | + | 0.870550i | −0.995604 | − | 0.0936635i | \(-0.970142\pi\) |
0.265125 | + | 0.964214i | \(0.414587\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.26455 | − | 5.08229i | −0.173955 | − | 0.207311i | 0.672022 | − | 0.740531i | \(-0.265426\pi\) |
−0.845976 | + | 0.533220i | \(0.820982\pi\) | |||||||
\(602\) | −20.0199 | − | 9.00318i | −0.815952 | − | 0.366942i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −48.1383 | −1.95872 | ||||||||
\(605\) | 9.53303 | + | 3.46974i | 0.387573 | + | 0.141065i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −23.5073 | + | 28.0149i | −0.954133 | + | 1.13709i | 0.0363338 | + | 0.999340i | \(0.488432\pi\) |
−0.990467 | + | 0.137752i | \(0.956012\pi\) | |||||||
\(608\) | −57.9728 | + | 21.1004i | −2.35111 | + | 0.855733i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.36901 | − | 7.76403i | −0.0554295 | − | 0.314357i | ||||
\(611\) | − | 6.34077i | − | 0.256520i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.8053 | −0.638369 | −0.319185 | − | 0.947693i | \(-0.603409\pi\) | ||||
−0.319185 | + | 0.947693i | \(0.603409\pi\) | |||||||
\(614\) | −37.8771 | − | 13.7861i | −1.52860 | − | 0.556363i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.7872 | − | 7.33480i | −0.434628 | − | 0.295527i | ||||
\(617\) | −10.9448 | + | 13.0434i | −0.440619 | + | 0.525109i | −0.939955 | − | 0.341299i | \(-0.889133\pi\) |
0.499336 | + | 0.866409i | \(0.333577\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.2802 | + | 18.2102i | 0.614163 | + | 0.731931i | 0.980055 | − | 0.198726i | \(-0.0636805\pi\) |
−0.365892 | + | 0.930657i | \(0.619236\pi\) | |||||||
\(620\) | −4.30295 | − | 2.48431i | −0.172811 | − | 0.0997722i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 27.8050i | − | 1.11488i | ||||||
\(623\) | 3.68801 | + | 13.0453i | 0.147757 | + | 0.522648i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.00607 | − | 22.7195i | 0.160243 | − | 0.908782i | ||||
\(626\) | −23.9710 | − | 20.1141i | −0.958075 | − | 0.803920i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.22436 | − | 8.85886i | 0.128666 | − | 0.353507i | ||||
\(629\) | −1.56287 | − | 2.70698i | −0.0623158 | − | 0.107934i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21.9990 | − | 38.1033i | 0.875765 | − | 1.51687i | 0.0198191 | − | 0.999804i | \(-0.493691\pi\) |
0.855946 | − | 0.517066i | \(-0.172976\pi\) | |||||||
\(632\) | 5.22825 | + | 6.23079i | 0.207969 | + | 0.247847i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −6.02914 | + | 34.1930i | −0.239448 | + | 1.35798i | ||||
\(635\) | −3.86986 | − | 3.24720i | −0.153571 | − | 0.128861i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.18213 | − | 3.23492i | 0.324188 | − | 0.128172i | ||||
\(638\) | −24.2506 | − | 14.0011i | −0.960090 | − | 0.554308i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | − | 2.23049i | − | 0.0881679i | ||||||
\(641\) | −26.1576 | + | 4.61228i | −1.03316 | + | 0.182174i | −0.664421 | − | 0.747358i | \(-0.731322\pi\) |
−0.368740 | + | 0.929532i | \(0.620211\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.8428 | + | 3.85147i | 0.861394 | + | 0.151887i | 0.586858 | − | 0.809690i | \(-0.300365\pi\) |
0.274536 | + | 0.961577i | \(0.411476\pi\) | |||||||
\(644\) | −6.04655 | + | 8.89257i | −0.238267 | + | 0.350416i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.60237 | + | 14.7588i | 0.102389 | + | 0.580676i | ||||
\(647\) | −6.41692 | + | 11.1144i | −0.252275 | + | 0.436954i | −0.964152 | − | 0.265351i | \(-0.914512\pi\) |
0.711877 | + | 0.702305i | \(0.247846\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −34.6356 | + | 19.9969i | −1.35957 | + | 0.784946i | ||||
\(650\) | −12.0340 | − | 4.38000i | −0.472011 | − | 0.171798i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −31.5280 | − | 26.4551i | −1.23473 | − | 1.03606i | ||||
\(653\) | −3.64829 | − | 10.0236i | −0.142769 | − | 0.392254i | 0.847613 | − | 0.530615i | \(-0.178039\pi\) |
−0.990382 | + | 0.138361i | \(0.955817\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.164044 | − | 0.930342i | −0.00640975 | − | 0.0363515i | ||||
\(656\) | 14.3183 | − | 24.8000i | 0.559035 | − | 0.968277i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −22.6509 | + | 16.3280i | −0.883024 | + | 0.636530i | ||||
\(659\) | −12.4568 | + | 2.19647i | −0.485248 | + | 0.0855623i | −0.410920 | − | 0.911672i | \(-0.634792\pi\) |
−0.0743281 | + | 0.997234i | \(0.523681\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.7769 | + | 5.77946i | 1.27487 | + | 0.224795i | 0.769802 | − | 0.638282i | \(-0.220355\pi\) |
0.505072 | + | 0.863077i | \(0.331466\pi\) | |||||||
\(662\) | 47.3134 | + | 8.34263i | 1.83889 | + | 0.324246i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.01139 | − | 0.883643i | 0.194479 | − | 0.0342920i | ||||
\(665\) | −5.90997 | + | 4.26022i | −0.229179 | + | 0.165204i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.82901 | + | 3.16794i | −0.0708196 | + | 0.122663i | ||||
\(668\) | −5.06642 | − | 28.7331i | −0.196026 | − | 1.11172i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.0749310 | − | 0.205871i | −0.00289484 | − | 0.00795350i | ||||
\(671\) | 50.1446 | + | 42.0763i | 1.93581 | + | 1.62434i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21.0468 | + | 7.66040i | 0.811294 | + | 0.295287i | 0.714158 | − | 0.699984i | \(-0.246810\pi\) |
0.0971357 | + | 0.995271i | \(0.469032\pi\) | |||||||
\(674\) | 49.7797 | − | 28.7403i | 1.91744 | − | 1.10704i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.5706 | − | 23.5051i | 0.521948 | − | 0.904040i | ||||
\(677\) | 8.03399 | + | 45.5630i | 0.308771 | + | 1.75113i | 0.605199 | + | 0.796074i | \(0.293094\pi\) |
−0.296427 | + | 0.955055i | \(0.595795\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11.9575 | − | 17.5858i | 0.458888 | − | 0.674879i | ||||
\(680\) | −0.261982 | − | 0.0461946i | −0.0100466 | − | 0.00177148i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 74.8171 | − | 13.1923i | 2.86489 | − | 0.505158i | ||||
\(683\) | − | 8.70104i | − | 0.332936i | −0.986047 | − | 0.166468i | \(-0.946764\pi\) | ||
0.986047 | − | 0.166468i | \(-0.0532362\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.03920 | − | 1.75468i | −0.116122 | − | 0.0670431i | ||||
\(686\) | −32.6256 | − | 20.8985i | −1.24565 | − | 0.797910i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 9.43295 | + | 7.91518i | 0.359628 | + | 0.301764i | ||||
\(689\) | 0.758692 | − | 4.30276i | 0.0289039 | − | 0.163922i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.31456 | − | 8.71715i | −0.278259 | − | 0.331616i | 0.608755 | − | 0.793358i | \(-0.291669\pi\) |
−0.887014 | + | 0.461742i | \(0.847225\pi\) | |||||||
\(692\) | −25.0940 | + | 43.4641i | −0.953932 | + | 1.65226i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.4314 | + | 18.0677i | 0.395971 | + | 0.685841i | ||||
\(695\) | 0.0160275 | − | 0.0440351i | 0.000607956 | − | 0.00167035i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.62159 | − | 5.55618i | −0.250811 | − | 0.210455i | ||||
\(698\) | 10.1487 | − | 57.5561i | 0.384134 | − | 2.17853i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.33100 | + | 29.4685i | 0.314882 | + | 1.11381i | ||||
\(701\) | − | 19.8586i | − | 0.750050i | −0.927015 | − | 0.375025i | \(-0.877634\pi\) | ||
0.927015 | − | 0.375025i | \(-0.122366\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −22.0766 | − | 12.7459i | −0.832634 | − | 0.480722i | ||||
\(704\) | 42.9426 | + | 51.1769i | 1.61846 | + | 1.92880i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 31.7753 | − | 37.8683i | 1.19588 | − | 1.42519i | ||||
\(707\) | 31.1547 | + | 21.1838i | 1.17169 | + | 0.796698i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −19.2290 | − | 6.99878i | −0.722160 | − | 0.262845i | −0.0453176 | − | 0.998973i | \(-0.514430\pi\) |
−0.676843 | + | 0.736128i | \(0.736652\pi\) | |||||||
\(710\) | −3.64049 | −0.136625 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.03705i | 0.151295i | ||||||||
\(713\) | −1.72335 | − | 9.77363i | −0.0645402 | − | 0.366025i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.66274 | + | 0.969157i | −0.0995807 | + | 0.0362444i | ||||
\(716\) | −14.3507 | + | 17.1025i | −0.536311 | + | 0.639150i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.0585778 | − | 0.0213206i | −0.00218611 | − | 0.000795677i | ||||
\(719\) | −22.3708 | −0.834292 | −0.417146 | − | 0.908840i | \(-0.636970\pi\) | ||||
−0.417146 | + | 0.908840i | \(0.636970\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.4385 | − | 6.94287i | −0.574961 | − | 0.258566i | ||||
\(722\) | 53.0123 | + | 63.1776i | 1.97291 | + | 2.35123i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 14.2083 | − | 16.9327i | 0.528046 | − | 0.629301i | ||||
\(725\) | 3.56289 | + | 9.78896i | 0.132322 | + | 0.363553i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.58356 | − | 7.09828i | 0.0958190 | − | 0.263261i | −0.882518 | − | 0.470278i | \(-0.844154\pi\) |
0.978337 | + | 0.207018i | \(0.0663758\pi\) | |||||||
\(728\) | 2.60675 | − | 0.264143i | 0.0966126 | − | 0.00978978i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.39086 | + | 2.40904i | 0.0514781 | + | 0.0891627i | ||||
\(731\) | 2.84731 | − | 2.38918i | 0.105312 | − | 0.0883670i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16.7724 | + | 2.95743i | 0.619503 | + | 0.109235i | 0.474586 | − | 0.880209i | \(-0.342598\pi\) |
0.144916 | + | 0.989444i | \(0.453709\pi\) | |||||||
\(734\) | 5.69560 | − | 32.3013i | 0.210228 | − | 1.19226i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.5742 | − | 8.87281i | 0.389770 | − | 0.327056i | ||||
\(737\) | 1.57534 | + | 0.909523i | 0.0580284 | + | 0.0335027i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.49112 | − | 6.04680i | −0.128423 | − | 0.222435i | 0.794643 | − | 0.607077i | \(-0.207658\pi\) |
−0.923066 | + | 0.384642i | \(0.874325\pi\) | |||||||
\(740\) | 2.18747 | − | 1.83550i | 0.0804129 | − | 0.0674745i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −17.3243 | + | 8.36967i | −0.635994 | + | 0.307260i | ||||
\(743\) | 0.493042 | + | 1.35462i | 0.0180880 | + | 0.0496962i | 0.948408 | − | 0.317052i | \(-0.102693\pi\) |
−0.930320 | + | 0.366749i | \(0.880471\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.77262 | + | 4.87022i | −0.0649436 | + | 0.178431i | ||||
\(746\) | −27.7650 | + | 16.0301i | −1.01655 | + | 0.586905i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.0712 | − | 6.96930i | 0.441366 | − | 0.254823i | ||||
\(749\) | −2.11102 | + | 8.33412i | −0.0771349 | + | 0.304522i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.6380 | − | 6.41970i | 0.643619 | − | 0.234258i | 0.000470879 | − | 1.00000i | \(-0.499850\pi\) |
0.643148 | + | 0.765742i | \(0.277628\pi\) | |||||||
\(752\) | 14.7189 | − | 5.35724i | 0.536743 | − | 0.195358i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 5.53897 | − | 0.976670i | 0.201717 | − | 0.0355682i | ||||
\(755\) | 7.29709 | 0.265568 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.53601 | −0.237555 | −0.118778 | − | 0.992921i | \(-0.537898\pi\) | ||||
−0.118778 | + | 0.992921i | \(0.537898\pi\) | |||||||
\(758\) | 36.9936 | − | 6.52297i | 1.34367 | − | 0.236925i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.03870 | + | 0.742027i | −0.0739515 | + | 0.0269162i | ||||
\(761\) | 3.33224 | − | 1.21283i | 0.120793 | − | 0.0439652i | −0.280916 | − | 0.959732i | \(-0.590638\pi\) |
0.401710 | + | 0.915767i | \(0.368416\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.07387 | − | 32.0962i | −0.328496 | − | 1.16196i | ||||
\(764\) | −18.7848 | + | 10.8454i | −0.679609 | + | 0.392373i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 62.6150 | − | 36.1508i | 2.26237 | − | 1.30618i | ||||
\(767\) | 2.74745 | − | 7.54856i | 0.0992047 | − | 0.272563i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.05429 | − | 8.39159i | −0.110141 | − | 0.302609i | 0.872361 | − | 0.488862i | \(-0.162588\pi\) |
−0.982502 | + | 0.186253i | \(0.940366\pi\) | |||||||
\(770\) | 10.3188 | + | 7.01634i | 0.371865 | + | 0.252852i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6.38118 | − | 5.35444i | 0.229664 | − | 0.192711i | ||||
\(773\) | −0.840279 | − | 1.45541i | −0.0302227 | − | 0.0523473i | 0.850518 | − | 0.525945i | \(-0.176288\pi\) |
−0.880741 | + | 0.473598i | \(0.842955\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −24.4759 | − | 14.1312i | −0.879201 | − | 0.507607i | ||||
\(776\) | 4.85124 | − | 4.07068i | 0.174149 | − | 0.146129i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.125481 | + | 0.711640i | −0.00449872 | + | 0.0255135i | ||||
\(779\) | −69.4237 | − | 12.2413i | −2.48736 | − | 0.438589i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 23.1551 | − | 19.4295i | 0.828556 | − | 0.695241i | ||||
\(782\) | −1.67658 | − | 2.90392i | −0.0599543 | − | 0.103844i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 14.4222 | + | 16.2601i | 0.515080 | + | 0.580718i | ||||
\(785\) | −0.488767 | + | 1.34288i | −0.0174449 | + | 0.0479293i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.73495 | − | 18.5041i | −0.240075 | − | 0.659600i | −0.999955 | − | 0.00953653i | \(-0.996964\pi\) |
0.759880 | − | 0.650064i | \(-0.225258\pi\) | |||||||
\(788\) | 30.1435 | − | 35.9236i | 1.07382 | − | 1.27973i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.00126 | − | 5.96027i | −0.177937 | − | 0.212057i | ||||
\(791\) | 31.7163 | − | 22.8627i | 1.12770 | − | 0.812906i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −13.1479 | −0.466895 | ||||||||
\(794\) | 5.15428 | + | 1.87601i | 0.182919 | + | 0.0665769i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 17.0194 | − | 20.2830i | 0.603238 | − | 0.718912i | ||||
\(797\) | −6.04013 | + | 2.19843i | −0.213952 | + | 0.0778723i | −0.446773 | − | 0.894647i | \(-0.647427\pi\) |
0.232820 | + | 0.972520i | \(0.425205\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.821008 | − | 4.65617i | −0.0290452 | − | 0.164723i | ||||
\(800\) | − | 39.3095i | − | 1.38980i | ||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −36.1186 | −1.27539 | ||||||||
\(803\) | −21.7037 | − | 7.89950i | −0.765907 | − | 0.278767i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.916571 | − | 1.34799i | 0.0323049 | − | 0.0475103i | ||||
\(806\) | −9.80851 | + | 11.6893i | −0.345490 | + | 0.411739i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 7.21155 | + | 8.59439i | 0.253701 | + | 0.302350i | ||||
\(809\) | 18.3341 | + | 10.5852i | 0.644592 | + | 0.372155i | 0.786381 | − | 0.617741i | \(-0.211952\pi\) |
−0.141789 | + | 0.989897i | \(0.545285\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 36.0138i | 1.26461i | 0.774718 | + | 0.632307i | \(0.217892\pi\) | ||||
−0.774718 | + | 0.632307i | \(0.782108\pi\) | |||||||
\(812\) | −9.63989 | − | 9.37895i | −0.338294 | − | 0.329137i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.58179 | + | 42.9985i | −0.265742 | + | 1.50710i | ||||
\(815\) | 4.77919 | + | 4.01022i | 0.167408 | + | 0.140472i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.3677 | − | 28.4849i | 0.362718 | − | 0.996561i | ||||
\(818\) | −24.1511 | − | 41.8310i | −0.844424 | − | 1.46259i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.94832 | − | 6.83869i | 0.137881 | − | 0.238818i | ||||
\(821\) | 18.5058 | + | 22.0543i | 0.645855 | + | 0.769700i | 0.985283 | − | 0.170932i | \(-0.0546778\pi\) |
−0.339428 | + | 0.940632i | \(0.610233\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.40065 | + | 19.2861i | −0.118539 | + | 0.672270i | 0.866397 | + | 0.499355i | \(0.166430\pi\) |
−0.984937 | + | 0.172915i | \(0.944681\pi\) | |||||||
\(824\) | −3.86162 | − | 3.24028i | −0.134526 | − | 0.112881i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −34.0403 | + | 9.62349i | −1.18441 | + | 0.334844i | ||||
\(827\) | −13.9928 | − | 8.07875i | −0.486577 | − | 0.280925i | 0.236576 | − | 0.971613i | \(-0.423975\pi\) |
−0.723153 | + | 0.690687i | \(0.757308\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.1140i | 1.11537i | 0.830054 | + | 0.557683i | \(0.188310\pi\) | ||||
−0.830054 | + | 0.557683i | \(0.811690\pi\) | |||||||
\(830\) | −4.79381 | + | 0.845278i | −0.166396 | + | 0.0293400i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −13.2147 | − | 2.33011i | −0.458138 | − | 0.0807821i | ||||
\(833\) | 5.58946 | − | 3.43490i | 0.193663 | − | 0.119012i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.767997 | + | 4.35553i | 0.0265776 | + | 0.150729i | ||||
\(836\) | 56.8377 | − | 98.4458i | 1.96577 | − | 3.40482i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 42.0236 | − | 24.2623i | 1.45168 | − | 0.838128i | ||||
\(839\) | −4.91418 | − | 1.78862i | −0.169656 | − | 0.0617499i | 0.255795 | − | 0.966731i | \(-0.417663\pi\) |
−0.425452 | + | 0.904981i | \(0.639885\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.7105 | + | 15.7000i | 0.645190 | + | 0.541379i | ||||
\(842\) | −13.5236 | − | 37.1558i | −0.466054 | − | 1.28047i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.33246 | + | 18.8993i | 0.114708 | + | 0.650541i | ||||
\(845\) | −2.05712 | + | 3.56303i | −0.0707670 | + | 0.122572i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −74.1241 | + | 7.51101i | −2.54693 | + | 0.258081i | ||||
\(848\) | 10.6290 | − | 1.87419i | 0.365003 | − | 0.0643598i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −9.40393 | − | 1.65817i | −0.322552 | − | 0.0568746i | ||||
\(851\) | 5.61705 | + | 0.990437i | 0.192550 | + | 0.0339518i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 39.1762 | − | 6.90782i | 1.34137 | − | 0.236519i | 0.543529 | − | 0.839391i | \(-0.317088\pi\) |
0.797838 | + | 0.602871i | \(0.205977\pi\) | |||||||
\(854\) | 33.8568 | + | 46.9677i | 1.15856 | + | 1.60720i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.28011 | + | 2.21721i | −0.0437532 | + | 0.0757828i | ||||
\(857\) | −7.52170 | − | 42.6577i | −0.256936 | − | 1.45716i | −0.791053 | − | 0.611747i | \(-0.790467\pi\) |
0.534117 | − | 0.845410i | \(-0.320644\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.68725 | + | 12.8781i | 0.159927 | + | 0.439395i | 0.993613 | − | 0.112844i | \(-0.0359959\pi\) |
−0.833686 | + | 0.552239i | \(0.813774\pi\) | |||||||
\(860\) | 2.60117 | + | 2.18264i | 0.0886993 | + | 0.0744275i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 79.5171 | + | 28.9419i | 2.70836 | + | 0.985764i | ||||
\(863\) | 24.1671 | − | 13.9529i | 0.822659 | − | 0.474962i | −0.0286735 | − | 0.999589i | \(-0.509128\pi\) |
0.851333 | + | 0.524626i | \(0.175795\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.80390 | − | 6.58855i | 0.129336 | − | 0.224017i | ||||
\(866\) | 2.02524 | + | 11.4857i | 0.0688204 | + | 0.390300i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 36.3908 | + | 2.68129i | 1.23519 | + | 0.0910088i | ||||
\(869\) | 63.6205 | + | 11.2180i | 2.15818 | + | 0.380545i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.359817 | + | 0.0634454i | −0.0121919 | + | 0.00214976i | ||||
\(872\) | − | 9.93263i | − | 0.336361i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −23.6828 | − | 13.6732i | −0.801081 | − | 0.462504i | ||||
\(875\) | −2.55938 | − | 9.05306i | −0.0865228 | − | 0.306049i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −28.2148 | − | 23.6751i | −0.952748 | − | 0.799450i | 0.0270106 | − | 0.999635i | \(-0.491401\pi\) |
−0.979758 | + | 0.200185i | \(0.935846\pi\) | |||||||
\(878\) | −12.4166 | + | 70.4181i | −0.419040 | + | 2.37649i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.49943 | − | 5.36221i | −0.151676 | − | 0.180760i | ||||
\(881\) | 23.0421 | − | 39.9101i | 0.776309 | − | 1.34461i | −0.157747 | − | 0.987480i | \(-0.550423\pi\) |
0.934056 | − | 0.357127i | \(-0.116244\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −18.9002 | − | 32.7361i | −0.636043 | − | 1.10166i | −0.986293 | − | 0.165002i | \(-0.947237\pi\) |
0.350251 | − | 0.936656i | \(-0.386096\pi\) | |||||||
\(884\) | −0.957540 | + | 2.63082i | −0.0322056 | + | 0.0884840i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 21.2973 | + | 17.8705i | 0.715495 | + | 0.600372i | ||||
\(887\) | 0.236461 | − | 1.34104i | 0.00793958 | − | 0.0450276i | −0.980581 | − | 0.196117i | \(-0.937167\pi\) |
0.988520 | + | 0.151089i | \(0.0482780\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 35.9642 | + | 9.10965i | 1.20620 | + | 0.305528i | ||||
\(890\) | − | 3.86177i | − | 0.129447i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −13.3410 | − | 7.70245i | −0.446691 | − | 0.257897i | ||||
\(893\) | −24.7852 | − | 29.5378i | −0.829405 | − | 0.988446i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.17536 | − | 2.59250i | 0.0727143 | − | 0.0866576i | ||||
\(896\) | 7.12581 | + | 14.7496i | 0.238057 | + | 0.492750i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 23.8936 | + | 8.69657i | 0.797341 | + | 0.290208i | ||||
\(899\) | 12.4126 | 0.413984 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 3.25784i | − | 0.108535i | ||||||
\(902\) | 20.9665 | + | 118.907i | 0.698109 | + | 3.95917i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.9408 | − | 3.98214i | 0.363887 | − | 0.132444i | ||||
\(905\) | −2.15377 | + | 2.56676i | −0.0715938 | + | 0.0853221i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 29.4991 | + | 10.7368i | 0.979502 | + | 0.356510i | 0.781647 | − | 0.623722i | \(-0.214380\pi\) |
0.197855 | + | 0.980231i | \(0.436602\pi\) | |||||||
\(908\) | −16.4856 | −0.547095 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.49357 | + | 0.252675i | −0.0826612 | + | 0.00837608i | ||||
\(911\) | 23.0479 | + | 27.4674i | 0.763610 | + | 0.910034i | 0.998070 | − | 0.0620911i | \(-0.0197769\pi\) |
−0.234461 | + | 0.972126i | \(0.575332\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 25.9795 | − | 30.9612i | 0.859796 | − | 1.02467i | ||||
\(914\) | −10.2403 | − | 28.1350i | −0.338719 | − | 0.930622i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.0022 | + | 41.2183i | −0.495688 | + | 1.36189i | ||||
\(917\) | 4.05697 | + | 5.62801i | 0.133973 | + | 0.185853i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.7450 | − | 18.6110i | −0.354446 | − | 0.613919i | 0.632577 | − | 0.774498i | \(-0.281997\pi\) |
−0.987023 | + | 0.160579i | \(0.948664\pi\) | |||||||
\(920\) | 0.371858 | − | 0.312026i | 0.0122598 | − | 0.0102872i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −51.0432 | − | 9.00029i | −1.68102 | − | 0.296409i | ||||
\(923\) | −1.05427 | + | 5.97904i | −0.0347016 | + | 0.196802i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 12.4427 | − | 10.4407i | 0.409113 | − | 0.343287i | ||||
\(926\) | −31.9406 | − | 18.4409i | −1.04963 | − | 0.606005i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 8.63222 | + | 14.9514i | 0.283366 | + | 0.490805i | ||||
\(929\) | −30.1571 | + | 25.3048i | −0.989422 | + | 0.830224i | −0.985484 | − | 0.169769i | \(-0.945698\pi\) |
−0.00393798 | + | 0.999992i | \(0.501253\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 25.4707 | − | 47.0524i | 0.834770 | − | 1.54208i | ||||
\(932\) | −19.5572 | − | 53.7330i | −0.640618 | − | 1.76008i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.55503 | + | 7.01988i | −0.0836031 | + | 0.229697i | ||||
\(935\) | −1.82982 | + | 1.05645i | −0.0598415 | + | 0.0345495i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 42.7796 | − | 24.6988i | 1.39755 | − | 0.806875i | 0.403413 | − | 0.915018i | \(-0.367824\pi\) |
0.994135 | + | 0.108143i | \(0.0344905\pi\) | |||||||
\(938\) | 1.15320 | + | 1.12198i | 0.0376533 | + | 0.0366340i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.05879 | − | 1.47728i | 0.132383 | − | 0.0481836i | ||||
\(941\) | −14.3771 | + | 5.23283i | −0.468679 | + | 0.170585i | −0.565554 | − | 0.824711i | \(-0.691338\pi\) |
0.0968746 | + | 0.995297i | \(0.469115\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 15.5333 | − | 2.73893i | 0.505833 | − | 0.0891920i | ||||
\(944\) | 19.8438 | 0.645862 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −51.9193 | −1.68804 | ||||||||
\(947\) | −8.19844 | + | 1.44561i | −0.266413 | + | 0.0469759i | −0.305259 | − | 0.952269i | \(-0.598743\pi\) |
0.0388456 | + | 0.999245i | \(0.487632\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.35933 | − | 1.58667i | 0.141510 | − | 0.0515054i | ||||
\(950\) | −73.1798 | + | 26.6353i | −2.37427 | + | 0.864162i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.87999 | − | 0.531490i | 0.0609309 | − | 0.0172257i | ||||
\(953\) | 11.5050 | − | 6.64241i | 0.372683 | − | 0.215169i | −0.301947 | − | 0.953325i | \(-0.597637\pi\) |
0.674630 | + | 0.738156i | \(0.264303\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.84750 | − | 1.64401i | 0.0921431 | − | 0.0531988i | ||||
\(956\) | 4.50573 | − | 12.3794i | 0.145726 | − | 0.400378i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −4.59825 | − | 12.6336i | −0.148563 | − | 0.408172i | ||||
\(959\) | 25.7031 | + | 1.89381i | 0.829997 | + | 0.0611544i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −2.04997 | + | 1.72013i | −0.0661281 | + | 0.0554881i | ||||
\(962\) | −4.38488 | − | 7.59484i | −0.141374 | − | 0.244867i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −20.9812 | − | 12.1135i | −0.675759 | − | 0.390150i | ||||
\(965\) | −0.967296 | + | 0.811658i | −0.0311384 | + | 0.0261282i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.63510 | + | 14.9444i | −0.0847390 | + | 0.480579i | 0.912674 | + | 0.408689i | \(0.134014\pi\) |
−0.997413 | + | 0.0718894i | \(0.977097\pi\) | |||||||
\(968\) | −21.8496 | − | 3.85267i | −0.702272 | − | 0.123829i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.64062 | + | 3.89394i | −0.149001 | + | 0.125027i | ||||
\(971\) | −1.28302 | − | 2.22225i | −0.0411740 | − | 0.0713155i | 0.844704 | − | 0.535234i | \(-0.179776\pi\) |
−0.885878 | + | 0.463918i | \(0.846443\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.0346950 | + | 0.342395i | 0.00111227 | + | 0.0109767i | ||||
\(974\) | 12.6745 | − | 34.8228i | 0.406116 | − | 1.11579i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.1085 | − | 30.5203i | −0.355574 | − | 0.976932i | ||||
\(977\) | 7.16223 | − | 8.53562i | 0.229140 | − | 0.273079i | −0.639208 | − | 0.769034i | \(-0.720738\pi\) |
0.868348 | + | 0.495955i | \(0.165182\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 20.6105 | + | 24.5626i | 0.658714 | + | 0.785025i | ||||
\(980\) | 3.97699 | + | 4.48379i | 0.127040 | + | 0.143229i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −25.6447 | −0.818355 | ||||||||
\(983\) | 45.0396 | + | 16.3931i | 1.43654 | + | 0.522858i | 0.938798 | − | 0.344468i | \(-0.111941\pi\) |
0.497742 | + | 0.867325i | \(0.334163\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.56933 | + | 5.44551i | −0.145591 | + | 0.173508i | ||||
\(986\) | 3.94093 | − | 1.43438i | 0.125505 | − | 0.0456800i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.96482 | + | 22.4856i | 0.126138 | + | 0.715362i | ||||
\(989\) | 6.78241i | 0.215668i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 22.6953 | 0.720940 | 0.360470 | − | 0.932771i | \(-0.382616\pi\) | ||||
0.360470 | + | 0.932771i | \(0.382616\pi\) | |||||||
\(992\) | −44.0145 | − | 16.0200i | −1.39746 | − | 0.508635i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 24.0735 | − | 11.6304i | 0.763565 | − | 0.368892i | ||||
\(995\) | −2.57991 | + | 3.07461i | −0.0817885 | + | 0.0974718i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −12.8968 | − | 15.3698i | −0.408446 | − | 0.486767i | 0.522130 | − | 0.852866i | \(-0.325138\pi\) |
−0.930576 | + | 0.366099i | \(0.880693\pi\) | |||||||
\(998\) | 9.04381 | + | 5.22145i | 0.286277 | + | 0.165282i | ||||
\(999\) | 0 | 0 |
(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 | 567.2.bd.a.17.19 | 132 | ||
3.2 | odd | 2 | 189.2.bd.a.185.4 | yes | 132 | ||
7.5 | odd | 6 | 567.2.ba.a.341.4 | 132 | |||
21.5 | even | 6 | 189.2.ba.a.131.19 | yes | 132 | ||
27.7 | even | 9 | 189.2.ba.a.101.19 | ✓ | 132 | ||
27.20 | odd | 18 | 567.2.ba.a.143.4 | 132 | |||
189.47 | even | 18 | inner | 567.2.bd.a.467.19 | 132 | ||
189.61 | odd | 18 | 189.2.bd.a.47.4 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.19 | ✓ | 132 | 27.7 | even | 9 | ||
189.2.ba.a.131.19 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.47.4 | yes | 132 | 189.61 | odd | 18 | ||
189.2.bd.a.185.4 | yes | 132 | 3.2 | odd | 2 | ||
567.2.ba.a.143.4 | 132 | 27.20 | odd | 18 | |||
567.2.ba.a.341.4 | 132 | 7.5 | odd | 6 | |||
567.2.bd.a.17.19 | 132 | 1.1 | even | 1 | trivial | ||
567.2.bd.a.467.19 | 132 | 189.47 | even | 18 | inner |