Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [243,2,Mod(10,243)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(243, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("243.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 243 = 3^{5} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 243.g (of order \(27\), degree \(18\), 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: | \(1.94036476912\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 10.3 | ||
Character | \(\chi\) | \(=\) | 243.10 |
Dual form | 243.2.g.a.73.3 |
$q$-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 \(\left(\mathbb{Z}/243\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.744407 | − | 0.373855i | −0.526375 | − | 0.264356i | 0.165706 | − | 0.986175i | \(-0.447010\pi\) |
−0.692081 | + | 0.721820i | \(0.743306\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.779943 | − | 1.04765i | −0.389972 | − | 0.523823i | ||||
\(5\) | −0.345929 | − | 1.15548i | −0.154704 | − | 0.516747i | 0.845137 | − | 0.534549i | \(-0.179518\pi\) |
−0.999842 | + | 0.0178015i | \(0.994333\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.520803 | − | 1.20736i | −0.196845 | − | 0.456338i | 0.790993 | − | 0.611825i | \(-0.209565\pi\) |
−0.987838 | + | 0.155487i | \(0.950305\pi\) | |||||||
\(8\) | 0.478230 | + | 2.71217i | 0.169080 | + | 0.958899i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.174471 | + | 0.989477i | −0.0551727 | + | 0.312900i | ||||
\(11\) | −2.11479 | + | 0.501215i | −0.637634 | + | 0.151122i | −0.536703 | − | 0.843771i | \(-0.680330\pi\) |
−0.100931 | + | 0.994893i | \(0.532182\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.80561 | − | 2.50299i | −1.05549 | − | 0.694204i | −0.101738 | − | 0.994811i | \(-0.532440\pi\) |
−0.953748 | + | 0.300607i | \(0.902811\pi\) | |||||||
\(14\) | −0.0636874 | + | 1.09347i | −0.0170212 | + | 0.292242i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.0912185 | + | 0.304691i | −0.0228046 | + | 0.0761727i | ||||
\(17\) | −3.54217 | + | 1.28924i | −0.859102 | + | 0.312688i | −0.733746 | − | 0.679424i | \(-0.762230\pi\) |
−0.125356 | + | 0.992112i | \(0.540007\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.50517 | − | 0.911807i | −0.574725 | − | 0.209183i | 0.0382728 | − | 0.999267i | \(-0.487814\pi\) |
−0.612998 | + | 0.790084i | \(0.710037\pi\) | |||||||
\(20\) | −0.940731 | + | 1.26362i | −0.210354 | + | 0.282554i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.76165 | + | 0.417519i | 0.375585 | + | 0.0890153i | ||||
\(23\) | 2.38967 | − | 5.53988i | 0.498281 | − | 1.15514i | −0.464674 | − | 0.885482i | \(-0.653829\pi\) |
0.962955 | − | 0.269663i | \(-0.0869122\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.96197 | − | 1.94812i | 0.592393 | − | 0.389623i | ||||
\(26\) | 1.89717 | + | 3.28599i | 0.372065 | + | 0.644435i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.858686 | + | 1.48729i | −0.162276 | + | 0.281071i | ||||
\(29\) | −0.241756 | − | 4.15079i | −0.0448929 | − | 0.770782i | −0.943366 | − | 0.331753i | \(-0.892360\pi\) |
0.898473 | − | 0.439028i | \(-0.144677\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.40674 | + | 0.865723i | −1.33029 | + | 0.155488i | −0.751362 | − | 0.659891i | \(-0.770603\pi\) |
−0.578927 | + | 0.815379i | \(0.696529\pi\) | |||||||
\(32\) | 3.96165 | − | 4.19911i | 0.700328 | − | 0.742304i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.11881 | + | 0.364536i | 0.534871 | + | 0.0625174i | ||||
\(35\) | −1.21492 | + | 1.01944i | −0.205359 | + | 0.172317i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.47819 | + | 6.27494i | 1.22941 | + | 1.03159i | 0.998277 | + | 0.0586711i | \(0.0186863\pi\) |
0.231129 | + | 0.972923i | \(0.425758\pi\) | |||||||
\(38\) | 1.52398 | + | 1.61533i | 0.247222 | + | 0.262040i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.96844 | − | 1.49081i | 0.469351 | − | 0.235717i | ||||
\(41\) | −5.17242 | + | 2.59769i | −0.807797 | + | 0.405691i | −0.804241 | − | 0.594303i | \(-0.797428\pi\) |
−0.00355548 | + | 0.999994i | \(0.501132\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.46904 | + | 3.67697i | 0.529024 | + | 0.560732i | 0.935680 | − | 0.352849i | \(-0.114787\pi\) |
−0.406657 | + | 0.913581i | \(0.633305\pi\) | |||||||
\(44\) | 2.17451 | + | 1.82463i | 0.327820 | + | 0.275074i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.85000 | + | 3.23053i | −0.567652 | + | 0.476316i | ||||
\(47\) | −2.97767 | − | 0.348040i | −0.434338 | − | 0.0507669i | −0.103885 | − | 0.994589i | \(-0.533127\pi\) |
−0.330453 | + | 0.943822i | \(0.607202\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.61722 | − | 3.83402i | 0.516745 | − | 0.547718i | ||||
\(50\) | −2.93322 | + | 0.342844i | −0.414820 | + | 0.0484855i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.345914 | + | 5.93911i | 0.0479696 | + | 0.823607i | ||||
\(53\) | 6.22987 | − | 10.7905i | 0.855739 | − | 1.48218i | −0.0202187 | − | 0.999796i | \(-0.506436\pi\) |
0.875958 | − | 0.482388i | \(-0.160230\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.31071 | + | 2.27022i | 0.176737 | + | 0.306117i | ||||
\(56\) | 3.02550 | − | 1.98990i | 0.404300 | − | 0.265912i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.37183 | + | 3.18026i | −0.180130 | + | 0.417588i | ||||
\(59\) | 10.6138 | + | 2.51552i | 1.38180 | + | 0.327493i | 0.853292 | − | 0.521434i | \(-0.174603\pi\) |
0.528510 | + | 0.848927i | \(0.322751\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.04237 | − | 9.45955i | 0.901684 | − | 1.21117i | −0.0751502 | − | 0.997172i | \(-0.523944\pi\) |
0.976834 | − | 0.213999i | \(-0.0686490\pi\) | |||||||
\(62\) | 5.83728 | + | 2.12460i | 0.741336 | + | 0.269824i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.92120 | + | 1.42720i | −0.490150 | + | 0.178400i | ||||
\(65\) | −1.57569 | + | 5.26317i | −0.195440 | + | 0.652816i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.0482665 | − | 0.828703i | 0.00589669 | − | 0.101242i | −0.994076 | − | 0.108691i | \(-0.965334\pi\) |
0.999972 | + | 0.00744893i | \(0.00237109\pi\) | |||||||
\(68\) | 4.11336 | + | 2.70540i | 0.498818 | + | 0.328078i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.28552 | − | 0.304673i | 0.153649 | − | 0.0364154i | ||||
\(71\) | −1.25916 | + | 7.14107i | −0.149435 | + | 0.847489i | 0.814263 | + | 0.580496i | \(0.197141\pi\) |
−0.963698 | + | 0.266993i | \(0.913970\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.41006 | − | 7.99685i | −0.165035 | − | 0.935960i | −0.949028 | − | 0.315191i | \(-0.897931\pi\) |
0.783993 | − | 0.620769i | \(-0.213180\pi\) | |||||||
\(74\) | −3.22089 | − | 7.46687i | −0.374421 | − | 0.868006i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.998639 | + | 3.33569i | 0.114552 | + | 0.382629i | ||||
\(77\) | 1.70654 | + | 2.29228i | 0.194478 | + | 0.261229i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.2764 | − | 5.16099i | −1.15618 | − | 0.580657i | −0.235849 | − | 0.971790i | \(-0.575787\pi\) |
−0.920334 | + | 0.391133i | \(0.872083\pi\) | |||||||
\(80\) | 0.383620 | 0.0428900 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.82155 | 0.532451 | ||||||||
\(83\) | 4.26695 | + | 2.14294i | 0.468358 | + | 0.235218i | 0.667294 | − | 0.744794i | \(-0.267452\pi\) |
−0.198936 | + | 0.980012i | \(0.563749\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.71504 | + | 3.64693i | 0.294487 | + | 0.395565i | ||||
\(86\) | −1.20772 | − | 4.03408i | −0.130232 | − | 0.435006i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.37074 | − | 5.49599i | −0.252722 | − | 0.585875i | ||||
\(89\) | −0.578632 | − | 3.28158i | −0.0613348 | − | 0.347847i | −0.999995 | − | 0.00300484i | \(-0.999044\pi\) |
0.938661 | − | 0.344842i | \(-0.112068\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.04003 | + | 5.89829i | −0.109025 | + | 0.618309i | ||||
\(92\) | −7.66763 | + | 1.81726i | −0.799406 | + | 0.189463i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.08648 | + | 1.37230i | 0.215204 | + | 0.141542i | ||||
\(95\) | −0.186967 | + | 3.21010i | −0.0191824 | + | 0.329349i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.390985 | + | 1.30598i | −0.0396985 | + | 0.132602i | −0.975542 | − | 0.219814i | \(-0.929455\pi\) |
0.935843 | + | 0.352417i | \(0.114640\pi\) | |||||||
\(98\) | −4.12605 | + | 1.50176i | −0.416794 | + | 0.151701i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.35110 | − | 1.58367i | −0.435110 | − | 0.158367i | ||||
\(101\) | −1.38233 | + | 1.85679i | −0.137547 | + | 0.184757i | −0.865559 | − | 0.500807i | \(-0.833037\pi\) |
0.728013 | + | 0.685564i | \(0.240444\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.42692 | + | 1.04920i | 0.436198 | + | 0.103381i | 0.442847 | − | 0.896597i | \(-0.353968\pi\) |
−0.00664935 | + | 0.999978i | \(0.502117\pi\) | |||||||
\(104\) | 4.96858 | − | 11.5185i | 0.487210 | − | 1.12948i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.67163 | + | 5.70342i | −0.842263 | + | 0.553965i | ||||
\(107\) | −6.14665 | − | 10.6463i | −0.594219 | − | 1.02922i | −0.993657 | − | 0.112457i | \(-0.964128\pi\) |
0.399438 | − | 0.916760i | \(-0.369205\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.45327 | − | 7.71330i | 0.426546 | − | 0.738800i | −0.570017 | − | 0.821633i | \(-0.693063\pi\) |
0.996563 | + | 0.0828329i | \(0.0263968\pi\) | |||||||
\(110\) | −0.126970 | − | 2.17999i | −0.0121061 | − | 0.207854i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.415378 | − | 0.0485507i | 0.0392495 | − | 0.00458761i | ||||
\(113\) | −11.9342 | + | 12.6496i | −1.12268 | + | 1.18997i | −0.142932 | + | 0.989733i | \(0.545653\pi\) |
−0.979747 | + | 0.200238i | \(0.935828\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.22789 | − | 0.844819i | −0.674004 | − | 0.0787798i | ||||
\(116\) | −4.16000 | + | 3.49065i | −0.386246 | + | 0.324099i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.96056 | − | 5.84061i | −0.640772 | − | 0.537671i | ||||
\(119\) | 3.40135 | + | 3.60522i | 0.311801 | + | 0.330490i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.60882 | + | 2.81686i | −0.509893 | + | 0.256078i | ||||
\(122\) | −8.77890 | + | 4.40893i | −0.794804 | + | 0.399166i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.68380 | + | 7.08442i | 0.600223 | + | 0.636199i | ||||
\(125\) | −7.89548 | − | 6.62509i | −0.706193 | − | 0.592566i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.35255 | − | 3.65222i | 0.386226 | − | 0.324082i | −0.428915 | − | 0.903345i | \(-0.641104\pi\) |
0.815141 | + | 0.579263i | \(0.196660\pi\) | |||||||
\(128\) | −8.01534 | − | 0.936859i | −0.708462 | − | 0.0828074i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.14062 | − | 3.32886i | 0.275450 | − | 0.291960i | ||||
\(131\) | −19.3865 | + | 2.26596i | −1.69381 | + | 0.197978i | −0.907556 | − | 0.419931i | \(-0.862054\pi\) |
−0.786250 | + | 0.617909i | \(0.787980\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.203823 | + | 3.49951i | 0.0176737 | + | 0.303446i | ||||
\(134\) | −0.345745 | + | 0.598848i | −0.0298678 | + | 0.0517326i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.19062 | − | 8.99042i | −0.445092 | − | 0.770922i | ||||
\(137\) | 13.2460 | − | 8.71204i | 1.13168 | − | 0.744320i | 0.161543 | − | 0.986866i | \(-0.448353\pi\) |
0.970140 | + | 0.242546i | \(0.0779825\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.13477 | + | 9.58547i | −0.350707 | + | 0.813029i | 0.647973 | + | 0.761663i | \(0.275617\pi\) |
−0.998680 | + | 0.0513663i | \(0.983642\pi\) | |||||||
\(140\) | 2.01558 | + | 0.477701i | 0.170347 | + | 0.0403731i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.60706 | − | 4.84512i | 0.302697 | − | 0.406593i | ||||
\(143\) | 9.30261 | + | 3.38587i | 0.777923 | + | 0.283141i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.71253 | + | 1.71522i | −0.391354 | + | 0.142441i | ||||
\(146\) | −1.94001 | + | 6.48007i | −0.160556 | + | 0.536294i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.741356 | − | 12.7286i | 0.0609391 | − | 1.04628i | ||||
\(149\) | −2.43554 | − | 1.60188i | −0.199527 | − | 0.131231i | 0.445814 | − | 0.895126i | \(-0.352914\pi\) |
−0.645341 | + | 0.763895i | \(0.723285\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.4159 | + | 2.94262i | −1.01039 | + | 0.239467i | −0.702293 | − | 0.711888i | \(-0.747840\pi\) |
−0.308098 | + | 0.951355i | \(0.599692\pi\) | |||||||
\(152\) | 1.27493 | − | 7.23051i | 0.103411 | − | 0.586472i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.413378 | − | 2.34439i | −0.0333110 | − | 0.188916i | ||||
\(155\) | 3.56253 | + | 8.25887i | 0.286149 | + | 0.663369i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.364422 | + | 1.21726i | 0.0290841 | + | 0.0971476i | 0.971299 | − | 0.237861i | \(-0.0764461\pi\) |
−0.942215 | + | 0.335008i | \(0.891261\pi\) | |||||||
\(158\) | 5.72035 | + | 7.68376i | 0.455086 | + | 0.611287i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −6.22244 | − | 3.12503i | −0.491927 | − | 0.247055i | ||||
\(161\) | −7.93316 | −0.625221 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.3636 | 0.968391 | 0.484195 | − | 0.874960i | \(-0.339112\pi\) | ||||
0.484195 | + | 0.874960i | \(0.339112\pi\) | |||||||
\(164\) | 6.75565 | + | 3.39282i | 0.527528 | + | 0.264934i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.37520 | − | 3.19044i | −0.184351 | − | 0.247626i | ||||
\(167\) | 1.09374 | + | 3.65334i | 0.0846359 | + | 0.282704i | 0.989822 | − | 0.142312i | \(-0.0454537\pi\) |
−0.905186 | + | 0.425016i | \(0.860269\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.06867 | + | 7.11397i | 0.236051 | + | 0.547228i | ||||
\(170\) | −0.657669 | − | 3.72983i | −0.0504409 | − | 0.286065i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.14650 | − | 6.50215i | 0.0874201 | − | 0.495784i | ||||
\(173\) | 23.4213 | − | 5.55096i | 1.78069 | − | 0.422031i | 0.797307 | − | 0.603574i | \(-0.206257\pi\) |
0.983383 | + | 0.181542i | \(0.0581089\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.89467 | − | 2.56157i | −0.294410 | − | 0.193636i | ||||
\(176\) | 0.0401925 | − | 0.690078i | 0.00302962 | − | 0.0520166i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.796100 | + | 2.65916i | −0.0596702 | + | 0.199312i | ||||
\(179\) | −5.95691 | + | 2.16814i | −0.445240 | + | 0.162054i | −0.554904 | − | 0.831915i | \(-0.687245\pi\) |
0.109664 | + | 0.993969i | \(0.465023\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.82014 | − | 2.11836i | −0.432608 | − | 0.157456i | 0.116532 | − | 0.993187i | \(-0.462822\pi\) |
−0.549140 | + | 0.835731i | \(0.685045\pi\) | |||||||
\(182\) | 2.97931 | − | 4.00191i | 0.220841 | − | 0.296641i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 16.1679 | + | 3.83187i | 1.19192 | + | 0.282489i | ||||
\(185\) | 4.66367 | − | 10.8116i | 0.342880 | − | 0.794884i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.84476 | − | 4.50187i | 0.500539 | − | 0.329210i | ||||
\(188\) | 1.95779 | + | 3.39100i | 0.142787 | + | 0.247314i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.33929 | − | 2.31972i | 0.0971625 | − | 0.168290i | ||||
\(191\) | 0.392632 | + | 6.74123i | 0.0284098 | + | 0.487778i | 0.982263 | + | 0.187506i | \(0.0600404\pi\) |
−0.953854 | + | 0.300272i | \(0.902923\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.8040 | − | 1.84722i | 1.13759 | − | 0.132966i | 0.473626 | − | 0.880726i | \(-0.342945\pi\) |
0.663969 | + | 0.747761i | \(0.268871\pi\) | |||||||
\(194\) | 0.779300 | − | 0.826010i | 0.0559505 | − | 0.0593041i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.83792 | − | 0.799238i | −0.488423 | − | 0.0570884i | ||||
\(197\) | 8.88023 | − | 7.45140i | 0.632690 | − | 0.530890i | −0.269073 | − | 0.963120i | \(-0.586717\pi\) |
0.901764 | + | 0.432229i | \(0.142273\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.29385 | + | 2.76387i | 0.233495 | + | 0.195925i | 0.752026 | − | 0.659133i | \(-0.229077\pi\) |
−0.518531 | + | 0.855059i | \(0.673521\pi\) | |||||||
\(200\) | 6.70013 | + | 7.10172i | 0.473771 | + | 0.502168i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.72318 | − | 0.865416i | 0.121243 | − | 0.0608904i | ||||
\(203\) | −4.88558 | + | 2.45363i | −0.342900 | + | 0.172211i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.79087 | + | 5.07803i | 0.334609 | + | 0.354665i | ||||
\(206\) | −2.90318 | − | 2.43606i | −0.202274 | − | 0.169728i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.10978 | − | 0.931215i | 0.0769493 | − | 0.0645682i | ||||
\(209\) | 5.75493 | + | 0.672654i | 0.398077 | + | 0.0465285i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.80038 | + | 10.3878i | −0.674686 | + | 0.715126i | −0.970763 | − | 0.240038i | \(-0.922840\pi\) |
0.296077 | + | 0.955164i | \(0.404321\pi\) | |||||||
\(212\) | −16.1635 | + | 1.88924i | −1.11012 | + | 0.129754i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.595430 | + | 10.2231i | 0.0407028 | + | 0.698840i | ||||
\(215\) | 3.04863 | − | 5.28038i | 0.207915 | − | 0.360119i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.90269 | + | 8.49171i | 0.332816 | + | 0.576455i | ||||
\(218\) | −6.19871 | + | 4.07695i | −0.419829 | + | 0.276126i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.35611 | − | 3.14381i | 0.0914286 | − | 0.211955i | ||||
\(221\) | 16.7071 | + | 3.95965i | 1.12384 | + | 0.266355i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.0568 | + | 16.1950i | −0.807381 | + | 1.08450i | 0.187382 | + | 0.982287i | \(0.440000\pi\) |
−0.994762 | + | 0.102214i | \(0.967408\pi\) | |||||||
\(224\) | −7.13306 | − | 2.59622i | −0.476598 | − | 0.173467i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.6130 | − | 4.95474i | 0.905526 | − | 0.329585i | ||||
\(227\) | 0.781091 | − | 2.60903i | 0.0518428 | − | 0.173167i | −0.928147 | − | 0.372213i | \(-0.878599\pi\) |
0.979990 | + | 0.199046i | \(0.0637843\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.0887613 | + | 1.52397i | −0.00586551 | + | 0.100707i | −0.999970 | − | 0.00771732i | \(-0.997543\pi\) |
0.994105 | + | 0.108424i | \(0.0345805\pi\) | |||||||
\(230\) | 5.06465 | + | 3.33107i | 0.333953 | + | 0.219645i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11.1420 | − | 2.64071i | 0.731511 | − | 0.173371i | ||||
\(233\) | 1.13347 | − | 6.42825i | 0.0742563 | − | 0.421128i | −0.924906 | − | 0.380197i | \(-0.875856\pi\) |
0.999162 | − | 0.0409317i | \(-0.0130326\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.627909 | + | 3.56105i | 0.0409602 | + | 0.232297i | ||||
\(236\) | −5.64280 | − | 13.0815i | −0.367315 | − | 0.851532i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.18416 | − | 3.95536i | −0.0767576 | − | 0.256388i | ||||
\(239\) | 10.0905 | + | 13.5539i | 0.652702 | + | 0.876731i | 0.998093 | − | 0.0617275i | \(-0.0196610\pi\) |
−0.345391 | + | 0.938459i | \(0.612254\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.2588 | − | 5.65439i | −0.725244 | − | 0.364231i | 0.0475663 | − | 0.998868i | \(-0.484853\pi\) |
−0.772811 | + | 0.634637i | \(0.781150\pi\) | |||||||
\(242\) | 5.22835 | 0.336091 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −15.4029 | −0.986070 | ||||||||
\(245\) | −5.68145 | − | 2.85333i | −0.362974 | − | 0.182293i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.25145 | + | 9.74038i | 0.461399 | + | 0.619766i | ||||
\(248\) | −5.89011 | − | 19.6743i | −0.374023 | − | 1.24932i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.40062 | + | 7.88353i | 0.215074 | + | 0.498598i | ||||
\(251\) | 4.48052 | + | 25.4103i | 0.282808 | + | 1.60388i | 0.713012 | + | 0.701152i | \(0.247331\pi\) |
−0.430204 | + | 0.902732i | \(0.641558\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.27699 | + | 12.9134i | −0.143153 | + | 0.811861i | ||||
\(254\) | −4.60547 | + | 1.09152i | −0.288973 | + | 0.0684878i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.5892 | + | 8.28002i | 0.786822 | + | 0.517501i | ||||
\(257\) | 0.841489 | − | 14.4478i | 0.0524906 | − | 0.901229i | −0.864578 | − | 0.502499i | \(-0.832414\pi\) |
0.917068 | − | 0.398730i | \(-0.130549\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.68144 | − | 12.2969i | 0.228753 | − | 0.764089i | ||||
\(260\) | 6.74288 | − | 2.45421i | 0.418176 | − | 0.152204i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 15.2786 | + | 5.56095i | 0.943914 | + | 0.343557i | ||||
\(263\) | 6.24306 | − | 8.38588i | 0.384963 | − | 0.517096i | −0.566830 | − | 0.823835i | \(-0.691830\pi\) |
0.951794 | + | 0.306739i | \(0.0992379\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.6233 | − | 3.46578i | −0.898301 | − | 0.212901i | ||||
\(266\) | 1.15658 | − | 2.68126i | 0.0709146 | − | 0.164398i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.905832 | + | 0.595775i | −0.0553325 | + | 0.0363928i | ||||
\(269\) | −0.105374 | − | 0.182513i | −0.00642476 | − | 0.0111280i | 0.862795 | − | 0.505554i | \(-0.168712\pi\) |
−0.869220 | + | 0.494426i | \(0.835378\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.70846 | − | 9.88735i | 0.346765 | − | 0.600614i | −0.638908 | − | 0.769283i | \(-0.720614\pi\) |
0.985673 | + | 0.168669i | \(0.0539470\pi\) | |||||||
\(272\) | −0.0697097 | − | 1.19687i | −0.00422677 | − | 0.0725708i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −13.1175 | + | 1.53321i | −0.792455 | + | 0.0926247i | ||||
\(275\) | −5.28752 | + | 5.60444i | −0.318850 | + | 0.337961i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.0740 | + | 1.29437i | 0.665375 | + | 0.0777712i | 0.442074 | − | 0.896978i | \(-0.354243\pi\) |
0.223301 | + | 0.974750i | \(0.428317\pi\) | |||||||
\(278\) | 6.66153 | − | 5.58969i | 0.399532 | − | 0.335247i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.34591 | − | 2.80755i | −0.199956 | − | 0.167783i | ||||
\(281\) | −14.8936 | − | 15.7863i | −0.888478 | − | 0.941732i | 0.110159 | − | 0.993914i | \(-0.464864\pi\) |
−0.998638 | + | 0.0521821i | \(0.983382\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.264982 | + | 0.133079i | −0.0157515 | + | 0.00791072i | −0.456658 | − | 0.889643i | \(-0.650954\pi\) |
0.440906 | + | 0.897553i | \(0.354657\pi\) | |||||||
\(284\) | 8.46338 | − | 4.25047i | 0.502209 | − | 0.252219i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.65910 | − | 5.99830i | −0.334630 | − | 0.354687i | ||||
\(287\) | 5.83015 | + | 4.89208i | 0.344143 | + | 0.288770i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.13795 | + | 1.79396i | −0.125762 | + | 0.105527i | ||||
\(290\) | 4.14929 | + | 0.484982i | 0.243654 | + | 0.0284791i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.27809 | + | 7.71433i | −0.425918 | + | 0.451447i | ||||
\(293\) | −14.4085 | + | 1.68412i | −0.841755 | + | 0.0983871i | −0.526032 | − | 0.850464i | \(-0.676321\pi\) |
−0.315723 | + | 0.948852i | \(0.602247\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.764985 | − | 13.1343i | −0.0445391 | − | 0.764707i | ||||
\(296\) | −13.4425 | + | 23.2830i | −0.781327 | + | 1.35330i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.21416 | + | 2.10299i | 0.0703346 | + | 0.121823i | ||||
\(299\) | −22.9604 | + | 15.1013i | −1.32783 | + | 0.873330i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.63273 | − | 6.10335i | 0.151748 | − | 0.351791i | ||||
\(302\) | 10.3426 | + | 2.45124i | 0.595149 | + | 0.141053i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.506337 | − | 0.680128i | 0.0290404 | − | 0.0390080i | ||||
\(305\) | −13.3665 | − | 4.86501i | −0.765364 | − | 0.278570i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.56052 | + | 1.29592i | −0.203210 | + | 0.0739622i | −0.441620 | − | 0.897202i | \(-0.645596\pi\) |
0.238410 | + | 0.971165i | \(0.423374\pi\) | |||||||
\(308\) | 1.07049 | − | 3.57569i | 0.0609969 | − | 0.203744i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.435651 | − | 7.47984i | 0.0247433 | − | 0.424826i | ||||
\(311\) | 10.3012 | + | 6.77519i | 0.584126 | + | 0.384186i | 0.806903 | − | 0.590684i | \(-0.201142\pi\) |
−0.222777 | + | 0.974869i | \(0.571512\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.62237 | − | 1.56953i | 0.374319 | − | 0.0887151i | −0.0391504 | − | 0.999233i | \(-0.512465\pi\) |
0.413469 | + | 0.910518i | \(0.364317\pi\) | |||||||
\(314\) | 0.183799 | − | 1.04238i | 0.0103724 | − | 0.0588246i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.60810 | + | 14.7913i | 0.146717 | + | 0.832074i | ||||
\(317\) | 5.91605 | + | 13.7150i | 0.332279 | + | 0.770309i | 0.999672 | + | 0.0256033i | \(0.00815067\pi\) |
−0.667394 | + | 0.744705i | \(0.732590\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.59170 | + | 8.65688i | 0.145107 | + | 0.484692i | ||||
\(320\) | 3.00556 | + | 4.03717i | 0.168016 | + | 0.225684i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.90550 | + | 2.96585i | 0.329101 | + | 0.165281i | ||||
\(323\) | 10.0493 | 0.559156 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.1482 | −0.895740 | ||||||||
\(326\) | −9.20354 | − | 4.62219i | −0.509737 | − | 0.256000i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.51899 | − | 12.7862i | −0.525598 | − | 0.706001i | ||||
\(329\) | 1.13057 | + | 3.77638i | 0.0623305 | + | 0.208198i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.46304 | − | 3.39172i | −0.0804162 | − | 0.186426i | 0.873265 | − | 0.487246i | \(-0.161999\pi\) |
−0.953681 | + | 0.300821i | \(0.902739\pi\) | |||||||
\(332\) | −1.08293 | − | 6.14162i | −0.0594337 | − | 0.337065i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.551633 | − | 3.12847i | 0.0301840 | − | 0.171182i | ||||
\(335\) | −0.974249 | + | 0.230901i | −0.0532289 | + | 0.0126155i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.4103 | − | 10.1355i | −0.839450 | − | 0.552115i | 0.0554092 | − | 0.998464i | \(-0.482354\pi\) |
−0.894859 | + | 0.446349i | \(0.852724\pi\) | |||||||
\(338\) | 0.375258 | − | 6.44292i | 0.0204113 | − | 0.350449i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.70311 | − | 5.68879i | 0.0923642 | − | 0.308518i | ||||
\(341\) | 15.2298 | − | 5.54319i | 0.824740 | − | 0.300181i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.1621 | − | 5.51854i | −0.818675 | − | 0.297973i | ||||
\(344\) | −8.31358 | + | 11.1671i | −0.448238 | + | 0.602089i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.5103 | − | 4.62402i | −1.04888 | − | 0.248589i | ||||
\(347\) | 13.3067 | − | 30.8484i | 0.714341 | − | 1.65603i | −0.0397080 | − | 0.999211i | \(-0.512643\pi\) |
0.754049 | − | 0.656818i | \(-0.228098\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 27.5190 | − | 18.0995i | 1.47306 | − | 0.968844i | 0.477115 | − | 0.878841i | \(-0.341683\pi\) |
0.995941 | − | 0.0900033i | \(-0.0286878\pi\) | |||||||
\(350\) | 1.94157 | + | 3.36289i | 0.103781 | + | 0.179754i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.27342 | + | 10.8659i | −0.334374 | + | 0.579154i | ||||
\(353\) | 0.775734 | + | 13.3188i | 0.0412881 | + | 0.708890i | 0.953911 | + | 0.300088i | \(0.0970162\pi\) |
−0.912623 | + | 0.408802i | \(0.865947\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.68696 | − | 1.01536i | 0.461056 | − | 0.0538897i | ||||
\(356\) | −2.98664 | + | 3.16565i | −0.158291 | + | 0.167779i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.24493 | + | 0.613045i | 0.277203 | + | 0.0324004i | ||||
\(359\) | −6.91454 | + | 5.80199i | −0.364936 | + | 0.306217i | −0.806754 | − | 0.590887i | \(-0.798778\pi\) |
0.441819 | + | 0.897104i | \(0.354333\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.11037 | − | 7.64450i | −0.479493 | − | 0.402342i | ||||
\(362\) | 3.54060 | + | 3.75281i | 0.186090 | + | 0.197243i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.99048 | − | 3.51075i | 0.366401 | − | 0.184013i | ||||
\(365\) | −8.75244 | + | 4.39564i | −0.458124 | + | 0.230078i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −17.5705 | − | 18.6236i | −0.917171 | − | 0.972145i | 0.0825298 | − | 0.996589i | \(-0.473700\pi\) |
−0.999701 | + | 0.0244437i | \(0.992219\pi\) | |||||||
\(368\) | 1.46997 | + | 1.23345i | 0.0766274 | + | 0.0642980i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.51364 | + | 6.30469i | −0.390616 | + | 0.327765i | ||||
\(371\) | −16.2725 | − | 1.90198i | −0.844825 | − | 0.0987459i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.0065 | − | 15.9060i | 0.777008 | − | 0.823580i | −0.211080 | − | 0.977469i | \(-0.567698\pi\) |
0.988088 | + | 0.153888i | \(0.0491796\pi\) | |||||||
\(374\) | −6.77834 | + | 0.792274i | −0.350500 | + | 0.0409675i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.480066 | − | 8.24241i | −0.0247575 | − | 0.425070i | ||||
\(377\) | −9.46934 | + | 16.4014i | −0.487696 | + | 0.844714i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.26717 | − | 9.12300i | −0.270556 | − | 0.468617i | 0.698448 | − | 0.715661i | \(-0.253874\pi\) |
−0.969004 | + | 0.247043i | \(0.920541\pi\) | |||||||
\(380\) | 3.50887 | − | 2.30782i | 0.180001 | − | 0.118389i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.22797 | − | 5.16500i | 0.113993 | − | 0.264265i | ||||
\(383\) | −21.2791 | − | 5.04324i | −1.08731 | − | 0.257698i | −0.352393 | − | 0.935852i | \(-0.614632\pi\) |
−0.734919 | + | 0.678154i | \(0.762780\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.05835 | − | 2.76484i | 0.104903 | − | 0.140909i | ||||
\(386\) | −12.4552 | − | 4.53331i | −0.633952 | − | 0.230740i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.67315 | − | 0.608977i | 0.0849414 | − | 0.0309161i | ||||
\(389\) | 6.99531 | − | 23.3660i | 0.354676 | − | 1.18470i | −0.575566 | − | 0.817755i | \(-0.695218\pi\) |
0.930242 | − | 0.366946i | \(-0.119597\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.32236 | + | 22.7040i | −0.0668746 | + | 1.14819i | ||||
\(392\) | 12.1284 | + | 7.97698i | 0.612577 | + | 0.402898i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.39625 | + | 2.22695i | −0.473376 | + | 0.112192i | ||||
\(395\) | −2.40854 | + | 13.6595i | −0.121187 | + | 0.687285i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.16728 | + | 23.6338i | 0.209150 | + | 1.18615i | 0.890775 | + | 0.454445i | \(0.150163\pi\) |
−0.681625 | + | 0.731702i | \(0.738726\pi\) | |||||||
\(398\) | −1.41868 | − | 3.28887i | −0.0711119 | − | 0.164856i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.323387 | + | 1.08019i | 0.0161694 | + | 0.0540094i | ||||
\(401\) | 22.0434 | + | 29.6094i | 1.10079 | + | 1.47862i | 0.861558 | + | 0.507660i | \(0.169489\pi\) |
0.239235 | + | 0.970962i | \(0.423103\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 30.3540 | + | 15.2444i | 1.51204 | + | 0.759376i | ||||
\(404\) | 3.02339 | 0.150419 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.55416 | 0.226019 | ||||||||
\(407\) | −18.9599 | − | 9.52203i | −0.939808 | − | 0.471989i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.70501 | − | 2.29023i | −0.0843075 | − | 0.113245i | 0.757968 | − | 0.652291i | \(-0.226192\pi\) |
−0.842276 | + | 0.539047i | \(0.818785\pi\) | |||||||
\(410\) | −1.66791 | − | 5.57121i | −0.0823723 | − | 0.275143i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.35356 | − | 5.45616i | −0.115952 | − | 0.268806i | ||||
\(413\) | −2.49058 | − | 14.1248i | −0.122553 | − | 0.695035i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.00007 | − | 5.67169i | 0.0490916 | − | 0.278412i | ||||
\(416\) | −25.5868 | + | 6.06418i | −1.25450 | + | 0.297321i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.03253 | − | 2.65224i | −0.197238 | − | 0.129725i | ||||
\(419\) | 1.99872 | − | 34.3166i | 0.0976437 | − | 1.67648i | −0.493372 | − | 0.869818i | \(-0.664236\pi\) |
0.591016 | − | 0.806660i | \(-0.298727\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.79299 | + | 5.98899i | −0.0873849 | + | 0.291886i | −0.990500 | − | 0.137513i | \(-0.956089\pi\) |
0.903115 | + | 0.429398i | \(0.141274\pi\) | |||||||
\(422\) | 11.1790 | − | 4.06883i | 0.544186 | − | 0.198067i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 32.2449 | + | 11.7362i | 1.56595 | + | 0.569960i | ||||
\(425\) | −7.98018 | + | 10.7192i | −0.387096 | + | 0.519960i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −15.0887 | − | 3.57610i | −0.730196 | − | 0.173060i | ||||
\(428\) | −6.35952 | + | 14.7430i | −0.307399 | + | 0.712631i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.24352 | + | 2.79101i | −0.204641 | + | 0.134594i | ||||
\(431\) | 1.50862 | + | 2.61301i | 0.0726679 | + | 0.125864i | 0.900070 | − | 0.435746i | \(-0.143515\pi\) |
−0.827402 | + | 0.561610i | \(0.810182\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.3659 | + | 26.6146i | −0.738439 | + | 1.27901i | 0.214759 | + | 0.976667i | \(0.431104\pi\) |
−0.953198 | + | 0.302347i | \(0.902230\pi\) | |||||||
\(434\) | −0.474927 | − | 8.15418i | −0.0227972 | − | 0.391413i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.5541 | + | 1.35048i | −0.553341 | + | 0.0646763i | ||||
\(437\) | −11.0378 | + | 11.6994i | −0.528011 | + | 0.559659i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.454536 | − | 0.0531276i | −0.0216938 | − | 0.00253564i | 0.105239 | − | 0.994447i | \(-0.466439\pi\) |
−0.126933 | + | 0.991911i | \(0.540513\pi\) | |||||||
\(440\) | −5.53042 | + | 4.64057i | −0.263652 | + | 0.221231i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.9565 | − | 9.19361i | −0.521148 | − | 0.437296i | ||||
\(443\) | −23.9557 | − | 25.3916i | −1.13817 | − | 1.20639i | −0.975568 | − | 0.219698i | \(-0.929493\pi\) |
−0.162602 | − | 0.986692i | \(-0.551989\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.59165 | + | 1.80379i | −0.170260 | + | 0.0855080i | ||||
\(446\) | 15.0297 | − | 7.54822i | 0.711679 | − | 0.357419i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.76531 | + | 3.99100i | 0.177894 | + | 0.188557i | ||||
\(449\) | 5.48196 | + | 4.59991i | 0.258710 | + | 0.217083i | 0.762912 | − | 0.646502i | \(-0.223769\pi\) |
−0.504202 | + | 0.863586i | \(0.668213\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.63661 | − | 8.08607i | 0.453770 | − | 0.380758i | ||||
\(452\) | 22.5603 | + | 2.63692i | 1.06115 | + | 0.124030i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.55685 | + | 1.65016i | −0.0730665 | + | 0.0774459i | ||||
\(455\) | 7.17515 | − | 0.838655i | 0.336376 | − | 0.0393167i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.737417 | + | 12.6610i | 0.0344949 | + | 0.592255i | 0.970625 | + | 0.240599i | \(0.0773440\pi\) |
−0.936130 | + | 0.351655i | \(0.885619\pi\) | |||||||
\(458\) | 0.635820 | − | 1.10127i | 0.0297099 | − | 0.0514591i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.75227 | + | 8.23117i | 0.221576 | + | 0.383780i | ||||
\(461\) | 0.385841 | − | 0.253772i | 0.0179704 | − | 0.0118193i | −0.540492 | − | 0.841349i | \(-0.681762\pi\) |
0.558462 | + | 0.829530i | \(0.311392\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.6949 | − | 34.0667i | 0.682931 | − | 1.58321i | −0.123809 | − | 0.992306i | \(-0.539511\pi\) |
0.806740 | − | 0.590906i | \(-0.201230\pi\) | |||||||
\(464\) | 1.28676 | + | 0.304968i | 0.0597363 | + | 0.0141578i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.24700 | + | 4.36148i | −0.150414 | + | 0.202042i | ||||
\(467\) | 25.8480 | + | 9.40792i | 1.19611 | + | 0.435347i | 0.861863 | − | 0.507141i | \(-0.169298\pi\) |
0.334242 | + | 0.942487i | \(0.391520\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.02568 | + | 0.373316i | −0.0473614 | + | 0.0172381i | ||||
\(470\) | 0.863897 | − | 2.88562i | 0.0398486 | − | 0.133104i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.74669 | + | 29.9895i | −0.0803980 | + | 1.38038i | ||||
\(473\) | −9.17926 | − | 6.03729i | −0.422063 | − | 0.277595i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.19653 | + | 2.17962i | −0.421966 | + | 0.100008i | ||||
\(476\) | 1.12413 | − | 6.37527i | 0.0515245 | − | 0.292210i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.44425 | − | 13.8620i | −0.111798 | − | 0.634035i | ||||
\(479\) | 5.64829 | + | 13.0942i | 0.258077 | + | 0.598290i | 0.997159 | − | 0.0753257i | \(-0.0239996\pi\) |
−0.739082 | + | 0.673616i | \(0.764740\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −12.7529 | − | 42.5978i | −0.581484 | − | 1.94229i | ||||
\(482\) | 6.26722 | + | 8.41834i | 0.285464 | + | 0.383445i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.32563 | + | 3.67907i | 0.332983 | + | 0.167230i | ||||
\(485\) | 1.64429 | 0.0746634 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.07752 | 0.411342 | 0.205671 | − | 0.978621i | \(-0.434062\pi\) | ||||
0.205671 | + | 0.978621i | \(0.434062\pi\) | |||||||
\(488\) | 29.0238 | + | 14.5763i | 1.31385 | + | 0.659839i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.16258 | + | 4.24808i | 0.142871 | + | 0.191909i | ||||
\(491\) | −7.99691 | − | 26.7115i | −0.360896 | − | 1.20548i | −0.925063 | − | 0.379815i | \(-0.875988\pi\) |
0.564167 | − | 0.825661i | \(-0.309197\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.20771 | + | 14.3911i | 0.279581 | + | 0.648142i | ||||
\(494\) | −1.75653 | − | 9.96180i | −0.0790302 | − | 0.448203i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.411853 | − | 2.33573i | 0.0184927 | − | 0.104878i | ||||
\(497\) | 9.27760 | − | 2.19883i | 0.416157 | − | 0.0986310i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 19.8773 | + | 13.0735i | 0.889828 | + | 0.585249i | 0.910028 | − | 0.414547i | \(-0.136060\pi\) |
−0.0202000 | + | 0.999796i | \(0.506430\pi\) | |||||||
\(500\) | −0.782724 | + | 13.4389i | −0.0350045 | + | 0.601004i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.16444 | − | 20.5907i | 0.275133 | − | 0.919007i | ||||
\(503\) | −7.57016 | + | 2.75531i | −0.337537 | + | 0.122853i | −0.505227 | − | 0.862986i | \(-0.668591\pi\) |
0.167690 | + | 0.985840i | \(0.446369\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.62367 | + | 0.954939i | 0.116752 | + | 0.0424942i | ||||
\(506\) | 6.52276 | − | 8.76159i | 0.289972 | − | 0.389500i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.22097 | − | 1.71140i | −0.320379 | − | 0.0759311i | ||||
\(509\) | 7.64624 | − | 17.7260i | 0.338914 | − | 0.785690i | −0.660479 | − | 0.750844i | \(-0.729647\pi\) |
0.999393 | − | 0.0348457i | \(-0.0110940\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.92069 | + | 5.86723i | −0.394628 | + | 0.259551i | ||||
\(512\) | 1.79397 | + | 3.10725i | 0.0792832 | + | 0.137323i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −6.02780 | + | 10.4405i | −0.265875 | + | 0.460509i | ||||
\(515\) | −0.319068 | − | 5.47818i | −0.0140598 | − | 0.241398i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.47161 | − | 0.756422i | 0.284621 | − | 0.0332674i | ||||
\(518\) | −7.33773 | + | 7.77754i | −0.322401 | + | 0.341725i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −15.0282 | − | 1.75654i | −0.659029 | − | 0.0770294i | ||||
\(521\) | −2.04454 | + | 1.71557i | −0.0895727 | + | 0.0751604i | −0.686474 | − | 0.727154i | \(-0.740843\pi\) |
0.596902 | + | 0.802314i | \(0.296398\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.7693 | + | 9.87562i | 0.514636 | + | 0.431831i | 0.862757 | − | 0.505619i | \(-0.168736\pi\) |
−0.348121 | + | 0.937450i | \(0.613180\pi\) | |||||||
\(524\) | 17.4943 | + | 18.5429i | 0.764241 | + | 0.810048i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.78248 | + | 3.90851i | −0.339332 | + | 0.170419i | ||||
\(527\) | 25.1198 | − | 12.6156i | 1.09423 | − | 0.549545i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.19617 | − | 9.74738i | −0.399834 | − | 0.423799i | ||||
\(530\) | 9.58997 | + | 8.04694i | 0.416562 | + | 0.349537i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.50727 | − | 2.94295i | 0.152059 | − | 0.127593i | ||||
\(533\) | 26.1862 | + | 3.06073i | 1.13425 | + | 0.132575i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −10.1753 | + | 10.7852i | −0.439917 | + | 0.466285i | ||||
\(536\) | 2.27067 | − | 0.265403i | 0.0980780 | − | 0.0114637i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.0102077 | + | 0.175259i | 0.000440083 | + | 0.00755594i | ||||
\(539\) | −5.72799 | + | 9.92117i | −0.246722 | + | 0.427335i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.39421 | + | 16.2713i | 0.403889 | + | 0.699556i | 0.994191 | − | 0.107626i | \(-0.0343250\pi\) |
−0.590303 | + | 0.807182i | \(0.700992\pi\) | |||||||
\(542\) | −7.94586 | + | 5.22607i | −0.341304 | + | 0.224479i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −8.61917 | + | 19.9815i | −0.369544 | + | 0.856699i | ||||
\(545\) | −10.4531 | − | 2.47743i | −0.447761 | − | 0.106121i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.84395 | + | 9.19302i | −0.292626 | + | 0.393065i | −0.923987 | − | 0.382424i | \(-0.875089\pi\) |
0.631361 | + | 0.775489i | \(0.282497\pi\) | |||||||
\(548\) | −19.4583 | − | 7.08223i | −0.831216 | − | 0.302538i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.03132 | − | 2.19522i | 0.257176 | − | 0.0936045i | ||||
\(551\) | −3.17908 | + | 10.6189i | −0.135433 | + | 0.452378i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.879191 | + | 15.0951i | −0.0373870 | + | 0.641910i | ||||
\(554\) | −7.75969 | − | 5.10363i | −0.329678 | − | 0.216832i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 13.2671 | − | 3.14435i | 0.562649 | − | 0.133350i | ||||
\(557\) | −4.33665 | + | 24.5943i | −0.183750 | + | 1.04210i | 0.743802 | + | 0.668400i | \(0.233021\pi\) |
−0.927551 | + | 0.373695i | \(0.878091\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.99840 | − | 22.6761i | −0.169114 | − | 0.959095i | ||||
\(560\) | −0.199791 | − | 0.463167i | −0.00844269 | − | 0.0195724i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.18511 | + | 17.3195i | 0.218721 | + | 0.730579i | ||||
\(563\) | 10.4988 | + | 14.1023i | 0.442471 | + | 0.594341i | 0.966280 | − | 0.257494i | \(-0.0828969\pi\) |
−0.523809 | + | 0.851836i | \(0.675489\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 18.7447 | + | 9.41396i | 0.788597 | + | 0.396048i | ||||
\(566\) | 0.247007 | 0.0103825 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −19.9700 | −0.837922 | ||||||||
\(569\) | −14.2884 | − | 7.17589i | −0.599000 | − | 0.300829i | 0.123343 | − | 0.992364i | \(-0.460638\pi\) |
−0.722343 | + | 0.691535i | \(0.756935\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.16873 | + | 8.28604i | 0.258153 | + | 0.346760i | 0.912238 | − | 0.409662i | \(-0.134353\pi\) |
−0.654084 | + | 0.756422i | \(0.726946\pi\) | |||||||
\(572\) | −3.70831 | − | 12.3866i | −0.155052 | − | 0.517911i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.51108 | − | 5.82133i | −0.104810 | − | 0.242978i | ||||
\(575\) | −3.71420 | − | 21.0643i | −0.154893 | − | 0.878441i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.79785 | − | 38.5525i | 0.282998 | − | 1.60496i | −0.429351 | − | 0.903138i | \(-0.641258\pi\) |
0.712349 | − | 0.701825i | \(-0.247631\pi\) | |||||||
\(578\) | 2.26219 | − | 0.536148i | 0.0940946 | − | 0.0223008i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.47245 | + | 3.59929i | 0.227231 | + | 0.149452i | ||||
\(581\) | 0.365057 | − | 6.26778i | 0.0151451 | − | 0.260031i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.76656 | + | 25.9421i | −0.321658 | + | 1.07441i | ||||
\(584\) | 21.0145 | − | 7.64866i | 0.869587 | − | 0.316504i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.3554 | + | 4.13304i | 0.469088 | + | 0.170734i | ||||
\(587\) | 10.6305 | − | 14.2792i | 0.438766 | − | 0.589365i | −0.526649 | − | 0.850083i | \(-0.676552\pi\) |
0.965415 | + | 0.260718i | \(0.0839592\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 19.3445 | + | 4.58473i | 0.797076 | + | 0.188910i | ||||
\(590\) | −4.34086 | + | 10.0632i | −0.178710 | + | 0.414297i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.59407 | + | 1.70614i | −0.106615 | + | 0.0701221i | ||||
\(593\) | −6.92687 | − | 11.9977i | −0.284452 | − | 0.492686i | 0.688024 | − | 0.725688i | \(-0.258478\pi\) |
−0.972476 | + | 0.233002i | \(0.925145\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.98914 | − | 5.17735i | 0.122543 | − | 0.212251i | ||||
\(596\) | 0.221381 | + | 3.80096i | 0.00906811 | + | 0.155693i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 22.7376 | − | 2.65764i | 0.929809 | − | 0.108679i | ||||
\(599\) | 2.48356 | − | 2.63242i | 0.101475 | − | 0.107558i | −0.674645 | − | 0.738142i | \(-0.735703\pi\) |
0.776121 | + | 0.630585i | \(0.217185\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.3128 | + | 1.20539i | 0.420667 | + | 0.0491689i | 0.323794 | − | 0.946128i | \(-0.395042\pi\) |
0.0968736 | + | 0.995297i | \(0.469116\pi\) | |||||||
\(602\) | −4.24159 | + | 3.55912i | −0.172874 | + | 0.145059i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 12.7665 | + | 10.7124i | 0.519462 | + | 0.435880i | ||||
\(605\) | 5.19508 | + | 5.50647i | 0.211210 | + | 0.223870i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 12.0040 | − | 6.02866i | 0.487229 | − | 0.244696i | −0.188186 | − | 0.982133i | \(-0.560261\pi\) |
0.675415 | + | 0.737438i | \(0.263964\pi\) | |||||||
\(608\) | −13.7534 | + | 6.90721i | −0.557773 | + | 0.280124i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.13131 | + | 8.61869i | 0.329227 | + | 0.348960i | ||||
\(611\) | 10.4607 | + | 8.77758i | 0.423195 | + | 0.355103i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.2652 | − | 18.6827i | 0.899281 | − | 0.754587i | −0.0707686 | − | 0.997493i | \(-0.522545\pi\) |
0.970050 | + | 0.242906i | \(0.0781007\pi\) | |||||||
\(614\) | 3.13496 | + | 0.366425i | 0.126517 | + | 0.0147877i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.40094 | + | 5.72466i | −0.217610 | + | 0.230653i | ||||
\(617\) | 12.3463 | − | 1.44308i | 0.497044 | − | 0.0580961i | 0.136122 | − | 0.990692i | \(-0.456536\pi\) |
0.360922 | + | 0.932596i | \(0.382462\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.00980 | − | 34.5070i | −0.0807807 | − | 1.38695i | −0.758520 | − | 0.651650i | \(-0.774077\pi\) |
0.677739 | − | 0.735302i | \(-0.262960\pi\) | |||||||
\(620\) | 5.87380 | − | 10.1737i | 0.235898 | − | 0.408586i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −5.13533 | − | 8.89464i | −0.205908 | − | 0.356643i | ||||
\(623\) | −3.66069 | + | 2.40767i | −0.146662 | + | 0.0964614i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.09699 | − | 4.86137i | 0.0838796 | − | 0.194455i | ||||
\(626\) | −5.51652 | − | 1.30744i | −0.220484 | − | 0.0522558i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.991023 | − | 1.33118i | 0.0395461 | − | 0.0531197i | ||||
\(629\) | −34.5789 | − | 12.5857i | −1.37875 | − | 0.501825i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.4258 | − | 4.52262i | 0.494663 | − | 0.180042i | −0.0826292 | − | 0.996580i | \(-0.526332\pi\) |
0.577292 | + | 0.816538i | \(0.304109\pi\) | |||||||
\(632\) | 9.08304 | − | 30.3395i | 0.361304 | − | 1.20684i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.723456 | − | 12.4213i | 0.0287321 | − | 0.493311i | ||||
\(635\) | −5.72575 | − | 3.76588i | −0.227219 | − | 0.149445i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −23.3622 | + | 5.53695i | −0.925645 | + | 0.219382i | ||||
\(638\) | 1.30714 | − | 7.41317i | 0.0517502 | − | 0.293490i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.69021 | + | 9.58567i | 0.0668115 | + | 0.378907i | ||||
\(641\) | 2.08848 | + | 4.84165i | 0.0824901 | + | 0.191234i | 0.954469 | − | 0.298310i | \(-0.0964228\pi\) |
−0.871979 | + | 0.489543i | \(0.837164\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.25523 | − | 4.19275i | −0.0495013 | − | 0.165346i | 0.929665 | − | 0.368406i | \(-0.120096\pi\) |
−0.979166 | + | 0.203060i | \(0.934911\pi\) | |||||||
\(644\) | 6.18741 | + | 8.31114i | 0.243818 | + | 0.327505i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.48075 | − | 3.75697i | −0.294326 | − | 0.147816i | ||||
\(647\) | −5.42624 | −0.213327 | −0.106664 | − | 0.994295i | \(-0.534017\pi\) | ||||
−0.106664 | + | 0.994295i | \(0.534017\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.7069 | −0.930576 | ||||||||
\(650\) | 12.0208 | + | 6.03709i | 0.471496 | + | 0.236794i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.64289 | − | 12.9527i | −0.377645 | − | 0.507265i | ||||
\(653\) | 3.18380 | + | 10.6346i | 0.124592 | + | 0.416166i | 0.997414 | − | 0.0718731i | \(-0.0228977\pi\) |
−0.872822 | + | 0.488039i | \(0.837712\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.32462 | + | 21.6169i | 0.364343 | + | 0.844642i | ||||
\(656\) | −0.319672 | − | 1.81295i | −0.0124811 | − | 0.0707837i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.570212 | − | 3.23383i | 0.0222292 | − | 0.126068i | ||||
\(659\) | 7.23488 | − | 1.71470i | 0.281831 | − | 0.0667951i | −0.0872694 | − | 0.996185i | \(-0.527814\pi\) |
0.369100 | + | 0.929390i | \(0.379666\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.20127 | + | 2.10551i | 0.124515 | + | 0.0818948i | 0.610239 | − | 0.792218i | \(-0.291074\pi\) |
−0.485724 | + | 0.874112i | \(0.661444\pi\) | |||||||
\(662\) | −0.178911 | + | 3.07178i | −0.00695358 | + | 0.119388i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.77145 | + | 12.5975i | −0.146361 | + | 0.488879i | ||||
\(665\) | 3.97311 | − | 1.44609i | 0.154071 | − | 0.0560771i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −23.5726 | − | 8.57971i | −0.912733 | − | 0.332208i | ||||
\(668\) | 2.97435 | − | 3.99524i | 0.115081 | − | 0.154581i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.811561 | + | 0.192344i | 0.0313533 | + | 0.00743088i | ||||
\(671\) | −10.1519 | + | 23.5347i | −0.391910 | + | 0.908549i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −35.1668 | + | 23.1295i | −1.35558 | + | 0.891578i | −0.999087 | − | 0.0427202i | \(-0.986398\pi\) |
−0.356492 | + | 0.934298i | \(0.616027\pi\) | |||||||
\(674\) | 7.68230 | + | 13.3061i | 0.295911 | + | 0.512533i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.05953 | − | 8.76336i | 0.194597 | − | 0.337052i | ||||
\(677\) | −0.144919 | − | 2.48817i | −0.00556970 | − | 0.0956281i | 0.994378 | − | 0.105892i | \(-0.0337698\pi\) |
−0.999947 | + | 0.0102640i | \(0.996733\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.78041 | − | 0.208100i | 0.0683260 | − | 0.00798616i | ||||
\(680\) | −8.59269 | + | 9.10772i | −0.329515 | + | 0.349265i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −13.4095 | − | 1.56735i | −0.513477 | − | 0.0600169i | ||||
\(683\) | 11.7411 | − | 9.85194i | 0.449260 | − | 0.376974i | −0.389901 | − | 0.920857i | \(-0.627491\pi\) |
0.839161 | + | 0.543883i | \(0.183046\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.6488 | − | 12.2918i | −0.559701 | − | 0.469645i | ||||
\(686\) | 9.22362 | + | 9.77646i | 0.352159 | + | 0.373267i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.43678 | + | 0.721578i | −0.0547767 | + | 0.0275099i | ||||
\(689\) | −50.7168 | + | 25.4710i | −1.93216 | + | 0.970366i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −25.4658 | − | 26.9922i | −0.968765 | − | 1.02683i | −0.999627 | − | 0.0273073i | \(-0.991307\pi\) |
0.0308620 | − | 0.999524i | \(-0.490175\pi\) | |||||||
\(692\) | −24.0827 | − | 20.2078i | −0.915488 | − | 0.768186i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −21.4384 | + | 17.9890i | −0.813792 | + | 0.682853i | ||||
\(695\) | 12.5062 | + | 1.46176i | 0.474387 | + | 0.0554478i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.9725 | − | 15.8700i | 0.567125 | − | 0.601118i | ||||
\(698\) | −27.2519 | + | 3.18529i | −1.03150 | + | 0.120565i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.354010 | + | 6.07811i | 0.0133803 | + | 0.229731i | ||||
\(701\) | 3.35489 | − | 5.81083i | 0.126712 | − | 0.219472i | −0.795689 | − | 0.605706i | \(-0.792891\pi\) |
0.922401 | + | 0.386234i | \(0.126224\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.0126 | − | 22.5385i | −0.490779 | − | 0.850054i | ||||
\(704\) | 7.57719 | − | 4.98360i | 0.285576 | − | 0.187826i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.40186 | − | 10.2046i | 0.165666 | − | 0.384057i | ||||
\(707\) | 2.96173 | + | 0.701942i | 0.111387 | + | 0.0263993i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.2011 | + | 19.0753i | −0.533332 | + | 0.716389i | −0.984369 | − | 0.176116i | \(-0.943647\pi\) |
0.451037 | + | 0.892505i | \(0.351054\pi\) | |||||||
\(710\) | −6.84623 | − | 2.49182i | −0.256934 | − | 0.0935165i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.62351 | − | 3.13870i | 0.323180 | − | 0.117628i | ||||
\(713\) | −12.9037 | + | 43.1012i | −0.483246 | + | 1.61415i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.694277 | − | 11.9203i | 0.0259645 | − | 0.445793i | ||||
\(716\) | 6.91748 | + | 4.54970i | 0.258519 | + | 0.170030i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.31634 | − | 1.73400i | 0.273043 | − | 0.0647125i | ||||
\(719\) | 7.41202 | − | 42.0356i | 0.276422 | − | 1.56766i | −0.457988 | − | 0.888958i | \(-0.651430\pi\) |
0.734410 | − | 0.678706i | \(-0.237459\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.03880 | − | 5.89131i | −0.0386868 | − | 0.219404i | ||||
\(722\) | 3.92388 | + | 9.09658i | 0.146032 | + | 0.338540i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.32009 | + | 7.74965i | 0.0862255 | + | 0.288013i | ||||
\(725\) | −8.80228 | − | 11.8235i | −0.326909 | − | 0.439114i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.0289 | + | 8.55222i | 0.631565 | + | 0.317184i | 0.735627 | − | 0.677387i | \(-0.236888\pi\) |
−0.104062 | + | 0.994571i | \(0.533184\pi\) | |||||||
\(728\) | −16.4946 | −0.611329 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 8.15871 | 0.301967 | ||||||||
\(731\) | −17.0284 | − | 8.55200i | −0.629819 | − | 0.316307i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.7269 | − | 14.4087i | −0.396207 | − | 0.532199i | 0.558595 | − | 0.829441i | \(-0.311341\pi\) |
−0.954802 | + | 0.297242i | \(0.903933\pi\) | |||||||
\(734\) | 6.11705 | + | 20.4324i | 0.225784 | + | 0.754173i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.7955 | − | 31.9816i | −0.508509 | − | 1.17886i | ||||
\(737\) | 0.313285 | + | 1.77673i | 0.0115400 | + | 0.0654466i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.16602 | − | 12.2841i | 0.0796782 | − | 0.451878i | −0.918700 | − | 0.394955i | \(-0.870760\pi\) |
0.998379 | − | 0.0569224i | \(-0.0181288\pi\) | |||||||
\(740\) | −14.9641 | + | 3.54656i | −0.550092 | + | 0.130374i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 11.4023 | + | 7.49940i | 0.418591 | + | 0.275312i | ||||
\(743\) | −1.50694 | + | 25.8731i | −0.0552842 | + | 0.949193i | 0.850639 | + | 0.525751i | \(0.176216\pi\) |
−0.905923 | + | 0.423443i | \(0.860821\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.00842 | + | 3.36836i | −0.0369457 | + | 0.123407i | ||||
\(746\) | −17.1175 | + | 6.23026i | −0.626716 | + | 0.228106i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10.0549 | − | 3.65968i | −0.367643 | − | 0.133811i | ||||
\(749\) | −9.65270 | + | 12.9658i | −0.352702 | + | 0.473761i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 10.2130 | + | 2.42053i | 0.372679 | + | 0.0883265i | 0.412687 | − | 0.910873i | \(-0.364590\pi\) |
−0.0400083 | + | 0.999199i | \(0.512738\pi\) | |||||||
\(752\) | 0.377663 | − | 0.875522i | 0.0137720 | − | 0.0319270i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 13.1808 | − | 8.66914i | 0.480016 | − | 0.315711i | ||||
\(755\) | 7.69516 | + | 13.3284i | 0.280056 | + | 0.485070i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.0864170 | + | 0.149679i | −0.00314088 | + | 0.00544016i | −0.867592 | − | 0.497277i | \(-0.834333\pi\) |
0.864451 | + | 0.502718i | \(0.167666\pi\) | |||||||
\(758\) | 0.510234 | + | 8.76039i | 0.0185326 | + | 0.318192i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.79576 | + | 1.02808i | −0.319056 | + | 0.0372923i | ||||
\(761\) | 1.28543 | − | 1.36248i | 0.0465968 | − | 0.0493897i | −0.703656 | − | 0.710541i | \(-0.748450\pi\) |
0.750253 | + | 0.661151i | \(0.229932\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.6320 | − | 1.35958i | −0.421106 | − | 0.0492203i | ||||
\(764\) | 6.75618 | − | 5.66911i | 0.244430 | − | 0.205101i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.9549 | + | 11.7095i | 0.504211 | + | 0.423083i | ||||
\(767\) | −34.0957 | − | 36.1394i | −1.23113 | − | 1.30492i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −24.9413 | + | 12.5260i | −0.899405 | + | 0.451698i | −0.837534 | − | 0.546386i | \(-0.816003\pi\) |
−0.0618716 | + | 0.998084i | \(0.519707\pi\) | |||||||
\(770\) | −2.56590 | + | 1.28864i | −0.0924685 | + | 0.0464394i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −14.2614 | − | 15.1162i | −0.513280 | − | 0.544045i | ||||
\(773\) | −0.0418155 | − | 0.0350873i | −0.00150400 | − | 0.00126200i | 0.642035 | − | 0.766675i | \(-0.278090\pi\) |
−0.643539 | + | 0.765413i | \(0.722535\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −20.2520 | + | 16.9934i | −0.727472 | + | 0.610422i | ||||
\(776\) | −3.72903 | − | 0.435861i | −0.133864 | − | 0.0156465i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −13.9429 | + | 14.7786i | −0.499875 | + | 0.529837i | ||||
\(779\) | 15.3264 | − | 1.79140i | 0.549125 | − | 0.0641835i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.916342 | − | 15.7330i | −0.0327893 | − | 0.562971i | ||||
\(782\) | 9.47240 | − | 16.4067i | 0.338732 | − | 0.586702i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.838235 | + | 1.45187i | 0.0299370 | + | 0.0518524i | ||||
\(785\) | 1.28045 | − | 0.842167i | 0.0457013 | − | 0.0300582i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.4349 | + | 31.1455i | −0.478901 | + | 1.11022i | 0.491970 | + | 0.870612i | \(0.336277\pi\) |
−0.970871 | + | 0.239604i | \(0.922982\pi\) | |||||||
\(788\) | −14.7325 | − | 3.49167i | −0.524824 | − | 0.124385i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 6.89962 | − | 9.26779i | 0.245477 | − | 0.329733i | ||||
\(791\) | 21.4879 | + | 7.82097i | 0.764023 | + | 0.278082i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −50.4776 | + | 18.3724i | −1.79251 | + | 0.652422i | ||||
\(794\) | 5.73347 | − | 19.1511i | 0.203473 | − | 0.679648i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.326538 | − | 5.60645i | 0.0115738 | − | 0.198715i | ||||
\(797\) | 12.1670 | + | 8.00239i | 0.430979 | + | 0.283459i | 0.746406 | − | 0.665491i | \(-0.231778\pi\) |
−0.315428 | + | 0.948950i | \(0.602148\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.9961 | − | 2.60613i | 0.389015 | − | 0.0921982i | ||||
\(800\) | 3.55394 | − | 20.1554i | 0.125651 | − | 0.712600i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −5.33961 | − | 30.2825i | −0.188548 | − | 1.06931i | ||||
\(803\) | 6.99013 | + | 16.2049i | 0.246676 | + | 0.571860i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.74431 | + | 9.16663i | 0.0967242 | + | 0.323081i | ||||
\(806\) | −16.8966 | − | 22.6960i | −0.595156 | − | 0.799433i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.69700 | − | 2.86114i | −0.200420 | − | 0.100655i | ||||
\(809\) | −28.0189 | −0.985092 | −0.492546 | − | 0.870286i | \(-0.663934\pi\) | ||||
−0.492546 | + | 0.870286i | \(0.663934\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 29.1924 | 1.02508 | 0.512542 | − | 0.858662i | \(-0.328704\pi\) | ||||
0.512542 | + | 0.858662i | \(0.328704\pi\) | |||||||
\(812\) | 6.38100 | + | 3.20466i | 0.223929 | + | 0.112462i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10.5540 | + | 14.1765i | 0.369919 | + | 0.496887i | ||||
\(815\) | −4.27692 | − | 14.2859i | −0.149814 | − | 0.500413i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.33785 | − | 12.3745i | −0.186748 | − | 0.432930i | ||||
\(818\) | 0.413009 | + | 2.34229i | 0.0144405 | + | 0.0818964i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.58337 | − | 8.97971i | 0.0552935 | − | 0.313585i | ||||
\(821\) | 29.0511 | − | 6.88525i | 1.01389 | − | 0.240297i | 0.310101 | − | 0.950704i | \(-0.399637\pi\) |
0.703791 | + | 0.710407i | \(0.251489\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 33.5799 | + | 22.0858i | 1.17052 | + | 0.769864i | 0.977418 | − | 0.211315i | \(-0.0677745\pi\) |
0.193103 | + | 0.981178i | \(0.438145\pi\) | |||||||
\(824\) | −0.728528 | + | 12.5084i | −0.0253795 | + | 0.435749i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.42662 | + | 11.4457i | −0.119227 | + | 0.398247i | ||||
\(827\) | −39.9498 | + | 14.5405i | −1.38919 | + | 0.505623i | −0.924951 | − | 0.380087i | \(-0.875894\pi\) |
−0.464238 | + | 0.885710i | \(0.653672\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.90599 | + | 2.14960i | 0.205124 | + | 0.0746589i | 0.442539 | − | 0.896749i | \(-0.354078\pi\) |
−0.237415 | + | 0.971408i | \(0.576300\pi\) | |||||||
\(830\) | −2.86485 | + | 3.84816i | −0.0994404 | + | 0.133572i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 18.4948 | + | 4.38335i | 0.641192 | + | 0.151965i | ||||
\(833\) | −7.86979 | + | 18.2442i | −0.272672 | + | 0.632125i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.84301 | − | 2.52759i | 0.132993 | − | 0.0874708i | ||||
\(836\) | −3.78381 | − | 6.55375i | −0.130866 | − | 0.226666i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −14.3173 | + | 24.7983i | −0.494584 | + | 0.856644i | ||||
\(839\) | 0.963006 | + | 16.5342i | 0.0332466 | + | 0.570823i | 0.973263 | + | 0.229694i | \(0.0737724\pi\) |
−0.940016 | + | 0.341129i | \(0.889191\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.6333 | − | 1.35974i | 0.401149 | − | 0.0468876i | ||||
\(842\) | 3.57373 | − | 3.78793i | 0.123159 | − | 0.130541i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 18.5265 | + | 2.16543i | 0.637707 | + | 0.0745373i | ||||
\(845\) | 7.15852 | − | 6.00671i | 0.246261 | − | 0.206637i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.32205 | + | 5.30483i | 0.217228 | + | 0.182276i | ||||
\(848\) | 2.71947 | + | 2.88247i | 0.0933871 | + | 0.0989846i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 9.94795 | − | 4.99605i | 0.341212 | − | 0.171363i | ||||
\(851\) | 52.6328 | − | 26.4332i | 1.80423 | − | 0.906118i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 35.7674 | + | 37.9112i | 1.22465 | + | 1.29806i | 0.940709 | + | 0.339214i | \(0.110161\pi\) |
0.283943 | + | 0.958841i | \(0.408357\pi\) | |||||||
\(854\) | 9.89523 | + | 8.30308i | 0.338608 | + | 0.284126i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 25.9351 | − | 21.7622i | 0.886445 | − | 0.743815i | ||||
\(857\) | −38.6194 | − | 4.51396i | −1.31921 | − | 0.154194i | −0.572811 | − | 0.819687i | \(-0.694147\pi\) |
−0.746404 | + | 0.665493i | \(0.768221\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.8940 | − | 15.7867i | 0.508177 | − | 0.538637i | −0.421589 | − | 0.906787i | \(-0.638527\pi\) |
0.929766 | + | 0.368151i | \(0.120009\pi\) | |||||||
\(860\) | −7.90973 | + | 0.924515i | −0.269720 | + | 0.0315257i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.146142 | − | 2.50915i | −0.00497760 | − | 0.0854621i | ||||
\(863\) | 21.9404 | − | 38.0020i | 0.746861 | − | 1.29360i | −0.202459 | − | 0.979291i | \(-0.564893\pi\) |
0.949320 | − | 0.314311i | \(-0.101773\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.5161 | − | 25.1427i | −0.493564 | − | 0.854877i | ||||
\(866\) | 21.3885 | − | 14.0674i | 0.726811 | − | 0.478031i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 5.07248 | − | 11.7593i | 0.172171 | − | 0.399138i | ||||
\(869\) | 24.3192 | + | 5.76375i | 0.824972 | + | 0.195522i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.25792 | + | 3.03291i | −0.0765066 | + | 0.102766i | ||||
\(872\) | 23.0495 | + | 8.38933i | 0.780554 | + | 0.284099i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 12.5905 | − | 4.58258i | 0.425881 | − | 0.155008i | ||||
\(875\) | −3.88687 | + | 12.9830i | −0.131400 | + | 0.438907i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.46065 | − | 25.0784i | 0.0493226 | − | 0.846837i | −0.879405 | − | 0.476074i | \(-0.842059\pi\) |
0.928728 | − | 0.370763i | \(-0.120904\pi\) | |||||||
\(878\) | 0.318498 | + | 0.209479i | 0.0107488 | + | 0.00706958i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.811277 | + | 0.192276i | −0.0273481 | + | 0.00648163i | ||||
\(881\) | −0.463850 | + | 2.63063i | −0.0156275 | + | 0.0886281i | −0.991624 | − | 0.129158i | \(-0.958772\pi\) |
0.975996 | + | 0.217786i | \(0.0698836\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.82642 | + | 38.7145i | 0.229727 | + | 1.30285i | 0.853439 | + | 0.521193i | \(0.174513\pi\) |
−0.623711 | + | 0.781655i | \(0.714376\pi\) | |||||||
\(884\) | −8.88225 | − | 20.5914i | −0.298742 | − | 0.692563i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 8.34003 | + | 27.8576i | 0.280189 | + | 0.935895i | ||||
\(887\) | −19.9569 | − | 26.8067i | −0.670086 | − | 0.900081i | 0.328934 | − | 0.944353i | \(-0.393311\pi\) |
−0.999020 | + | 0.0442716i | \(0.985903\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.67635 | − | 3.35299i | −0.223918 | − | 0.112456i | ||||
\(890\) | 3.34800 | 0.112225 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 26.3703 | 0.882942 | ||||||||
\(893\) | 7.14223 | + | 3.58696i | 0.239006 | + | 0.120033i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 4.56591 | + | 6.13308i | 0.152621 | + | 0.205006i | ||||
\(896\) | 3.04329 | + | 10.1653i | 0.101669 | + | 0.339599i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −2.36111 | − | 5.47367i | −0.0787912 | − | 0.182659i | ||||
\(899\) | 5.38405 | + | 30.5345i | 0.179568 | + | 1.01838i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.15573 | + | 46.2534i | −0.271707 | + | 1.54093i | ||||
\(902\) | −10.1966 | + | 2.41663i | −0.339509 | + | 0.0804651i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −40.0151 | − | 26.3184i | −1.33088 | − | 0.875336i | ||||
\(905\) | −0.434372 | + | 7.45788i | −0.0144390 | + | 0.247908i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.52864 | − | 11.7865i | 0.117167 | − | 0.391364i | −0.879208 | − | 0.476438i | \(-0.841928\pi\) |
0.996375 | + | 0.0850742i | \(0.0271127\pi\) | |||||||
\(908\) | −3.34254 | + | 1.21658i | −0.110926 | + | 0.0403738i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.65477 | − | 2.05817i | −0.187454 | − | 0.0682276i | ||||
\(911\) | 13.0498 | − | 17.5289i | 0.432359 | − | 0.580759i | −0.531538 | − | 0.847034i | \(-0.678386\pi\) |
0.963897 | + | 0.266276i | \(0.0857931\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.0978 | − | 2.39322i | −0.334188 | − | 0.0792040i | ||||
\(914\) | 4.18443 | − | 9.70059i | 0.138409 | − | 0.320867i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.66581 | − | 1.09562i | 0.0550400 | − | 0.0362004i | ||||
\(917\) | 12.8324 | + | 22.2263i | 0.423762 | + | 0.733977i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.9349 | − | 48.3846i | 0.921487 | − | 1.59606i | 0.124370 | − | 0.992236i | \(-0.460309\pi\) |
0.797116 | − | 0.603826i | \(-0.206358\pi\) | |||||||
\(920\) | −1.16529 | − | 20.0073i | −0.0384186 | − | 0.659622i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.382097 | + | 0.0446607i | −0.0125837 | + | 0.00147082i | ||||
\(923\) | 22.6659 | − | 24.0244i | 0.746056 | − | 0.790774i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 34.3744 | + | 4.01780i | 1.13022 | + | 0.132104i | ||||
\(926\) | −23.6750 | + | 19.8657i | −0.778009 | + | 0.652827i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −18.3873 | − | 15.4288i | −0.603594 | − | 0.506476i | ||||
\(929\) | 29.4428 | + | 31.2075i | 0.965986 | + | 1.02389i | 0.999701 | + | 0.0244537i | \(0.00778463\pi\) |
−0.0337151 | + | 0.999431i | \(0.510734\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.5576 | + | 6.30668i | −0.411560 | + | 0.206693i | ||||
\(932\) | −7.61857 | + | 3.82619i | −0.249554 | + | 0.125331i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −15.7243 | − | 16.6668i | −0.514514 | − | 0.545353i | ||||
\(935\) | −7.56964 | − | 6.35168i | −0.247554 | − | 0.207722i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −10.4519 | + | 8.77015i | −0.341447 | + | 0.286508i | −0.797345 | − | 0.603524i | \(-0.793763\pi\) |
0.455898 | + | 0.890032i | \(0.349318\pi\) | |||||||
\(938\) | 0.903088 | + | 0.105556i | 0.0294869 | + | 0.00344652i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 3.24098 | − | 3.43524i | 0.105709 | − | 0.112045i | ||||
\(941\) | 44.1544 | − | 5.16091i | 1.43939 | − | 0.168241i | 0.639687 | − | 0.768635i | \(-0.279064\pi\) |
0.799704 | + | 0.600395i | \(0.204990\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.03049 | + | 34.8622i | 0.0661219 | + | 1.13527i | ||||
\(944\) | −1.73463 | + | 3.00447i | −0.0564575 | + | 0.0977873i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.57603 | + | 7.92592i | 0.148780 | + | 0.257694i | ||||
\(947\) | −3.62204 | + | 2.38225i | −0.117700 | + | 0.0774128i | −0.606994 | − | 0.794706i | \(-0.707625\pi\) |
0.489294 | + | 0.872119i | \(0.337255\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.6499 | + | 33.9622i | −0.475555 | + | 1.10246i | ||||
\(950\) | 7.66082 | + | 1.81565i | 0.248550 | + | 0.0589074i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −8.15136 | + | 10.9492i | −0.264187 | + | 0.354865i | ||||
\(953\) | 34.6339 | + | 12.6057i | 1.12190 | + | 0.408339i | 0.835346 | − | 0.549724i | \(-0.185267\pi\) |
0.286556 | + | 0.958063i | \(0.407489\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.65355 | − | 2.78566i | 0.247663 | − | 0.0901419i | ||||
\(956\) | 6.32968 | − | 21.1426i | 0.204716 | − | 0.683801i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.690712 | − | 11.8591i | 0.0223159 | − | 0.383149i | ||||
\(959\) | −17.4171 | − | 11.4554i | −0.562428 | − | 0.369915i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.9459 | − | 5.67527i | 0.772447 | − | 0.183073i | ||||
\(962\) | −6.43203 | + | 36.4778i | −0.207377 | + | 1.17609i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.85744 | + | 16.2054i | 0.0920320 | + | 0.521939i | ||||
\(965\) | −7.60147 | − | 17.6222i | −0.244700 | − | 0.567279i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.93507 | + | 9.80383i | 0.0943856 | + | 0.315270i | 0.992124 | − | 0.125259i | \(-0.0399761\pi\) |
−0.897738 | + | 0.440529i | \(0.854791\pi\) | |||||||
\(968\) | −10.3221 | − | 13.8650i | −0.331765 | − | 0.445638i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.22402 | − | 0.614727i | −0.0393010 | − | 0.0197377i | ||||
\(971\) | 43.9486 | 1.41038 | 0.705188 | − | 0.709020i | \(-0.250862\pi\) | ||||
0.705188 | + | 0.709020i | \(0.250862\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.7265 | 0.440051 | ||||||||
\(974\) | −6.75737 | − | 3.39368i | −0.216520 | − | 0.108740i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.23984 | + | 3.00863i | 0.0716957 | + | 0.0963040i | ||||
\(977\) | 16.9236 | + | 56.5287i | 0.541433 | + | 1.80851i | 0.587045 | + | 0.809554i | \(0.300291\pi\) |
−0.0456115 | + | 0.998959i | \(0.514524\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.86847 | + | 6.64985i | 0.0916766 | + | 0.212530i | ||||
\(980\) | 1.44193 | + | 8.17758i | 0.0460607 | + | 0.261223i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.03329 | + | 22.8740i | −0.128708 | + | 0.729937i | ||||
\(983\) | 26.0666 | − | 6.17791i | 0.831397 | − | 0.197045i | 0.207187 | − | 0.978301i | \(-0.433569\pi\) |
0.624210 | + | 0.781257i | \(0.285421\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.6819 | − | 7.68330i | −0.372216 | − | 0.244810i | ||||
\(986\) | 0.759122 | − | 13.0336i | 0.0241754 | − | 0.415075i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 4.54875 | − | 15.1939i | 0.144715 | − | 0.483382i | ||||
\(989\) | 28.6598 | − | 10.4313i | 0.911329 | − | 0.331697i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.60252 | + | 3.13106i | 0.273268 | + | 0.0994614i | 0.475019 | − | 0.879975i | \(-0.342441\pi\) |
−0.201751 | + | 0.979437i | \(0.564663\pi\) | |||||||
\(992\) | −25.7076 | + | 34.5314i | −0.816219 | + | 1.09637i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −7.72835 | − | 1.83165i | −0.245128 | − | 0.0580965i | ||||
\(995\) | 2.05416 | − | 4.76209i | 0.0651214 | − | 0.150968i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −35.3642 | + | 23.2594i | −1.12000 | + | 0.736633i | −0.967801 | − | 0.251718i | \(-0.919005\pi\) |
−0.152195 | + | 0.988350i | \(0.548634\pi\) | |||||||
\(998\) | −9.90918 | − | 17.1632i | −0.313670 | − | 0.543292i | ||||
\(999\) | 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 | 243.2.g.a.10.3 | 144 | ||
3.2 | odd | 2 | 81.2.g.a.13.6 | ✓ | 144 | ||
9.2 | odd | 6 | 729.2.g.d.514.3 | 144 | |||
9.4 | even | 3 | 729.2.g.b.28.6 | 144 | |||
9.5 | odd | 6 | 729.2.g.c.28.3 | 144 | |||
9.7 | even | 3 | 729.2.g.a.514.6 | 144 | |||
81.2 | odd | 54 | 729.2.g.c.703.3 | 144 | |||
81.5 | odd | 54 | 6561.2.a.c.1.49 | 72 | |||
81.25 | even | 27 | inner | 243.2.g.a.73.3 | 144 | ||
81.29 | odd | 54 | 729.2.g.d.217.3 | 144 | |||
81.52 | even | 27 | 729.2.g.a.217.6 | 144 | |||
81.56 | odd | 54 | 81.2.g.a.25.6 | yes | 144 | ||
81.76 | even | 27 | 6561.2.a.d.1.24 | 72 | |||
81.79 | even | 27 | 729.2.g.b.703.6 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.6 | ✓ | 144 | 3.2 | odd | 2 | ||
81.2.g.a.25.6 | yes | 144 | 81.56 | odd | 54 | ||
243.2.g.a.10.3 | 144 | 1.1 | even | 1 | trivial | ||
243.2.g.a.73.3 | 144 | 81.25 | even | 27 | inner | ||
729.2.g.a.217.6 | 144 | 81.52 | even | 27 | |||
729.2.g.a.514.6 | 144 | 9.7 | even | 3 | |||
729.2.g.b.28.6 | 144 | 9.4 | even | 3 | |||
729.2.g.b.703.6 | 144 | 81.79 | even | 27 | |||
729.2.g.c.28.3 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.703.3 | 144 | 81.2 | odd | 54 | |||
729.2.g.d.217.3 | 144 | 81.29 | odd | 54 | |||
729.2.g.d.514.3 | 144 | 9.2 | odd | 6 | |||
6561.2.a.c.1.49 | 72 | 81.5 | odd | 54 | |||
6561.2.a.d.1.24 | 72 | 81.76 | even | 27 |