Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 115.9 | ||
Character | \(\chi\) | \(=\) | 546.115 |
Dual form | 546.2.by.b.19.9 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 2.82421 | + | 0.756745i | 1.26303 | + | 0.338427i | 0.827355 | − | 0.561679i | \(-0.189844\pi\) |
0.435671 | + | 0.900106i | \(0.356511\pi\) | |||||||
\(6\) | 0.258819 | + | 0.965926i | 0.105662 | + | 0.394338i | ||||
\(7\) | −2.36822 | + | 1.17963i | −0.895103 | + | 0.445859i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 2.92384 | 0.924599 | ||||||||
\(11\) | 2.45207 | − | 2.45207i | 0.739328 | − | 0.739328i | −0.233120 | − | 0.972448i | \(-0.574893\pi\) |
0.972448 | + | 0.233120i | \(0.0748935\pi\) | |||||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | 3.36737 | + | 1.28874i | 0.933939 | + | 0.357432i | ||||
\(14\) | −1.98221 | + | 1.75238i | −0.529769 | + | 0.468343i | ||||
\(15\) | −0.756745 | + | 2.82421i | −0.195391 | + | 0.729208i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.623139 | + | 1.07931i | 0.151133 | + | 0.261771i | 0.931644 | − | 0.363371i | \(-0.118374\pi\) |
−0.780511 | + | 0.625142i | \(0.785041\pi\) | |||||||
\(18\) | −0.965926 | + | 0.258819i | −0.227671 | + | 0.0610042i | ||||
\(19\) | −3.09653 | + | 3.09653i | −0.710392 | + | 0.710392i | −0.966617 | − | 0.256225i | \(-0.917521\pi\) |
0.256225 | + | 0.966617i | \(0.417521\pi\) | |||||||
\(20\) | 2.82421 | − | 0.756745i | 0.631513 | − | 0.169213i | ||||
\(21\) | −1.17963 | − | 2.36822i | −0.257417 | − | 0.516788i | ||||
\(22\) | 1.73388 | − | 3.00316i | 0.369664 | − | 0.640277i | ||||
\(23\) | −1.15250 | − | 0.665398i | −0.240313 | − | 0.138745i | 0.375007 | − | 0.927022i | \(-0.377640\pi\) |
−0.615321 | + | 0.788277i | \(0.710974\pi\) | |||||||
\(24\) | 0.707107 | + | 0.707107i | 0.144338 | + | 0.144338i | ||||
\(25\) | 3.07338 | + | 1.77442i | 0.614677 | + | 0.354884i | ||||
\(26\) | 3.58618 | + | 0.373290i | 0.703307 | + | 0.0732081i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −1.46112 | + | 2.20570i | −0.276126 | + | 0.416838i | ||||
\(29\) | 0.896358 | + | 1.55254i | 0.166450 | + | 0.288299i | 0.937169 | − | 0.348875i | \(-0.113436\pi\) |
−0.770720 | + | 0.637175i | \(0.780103\pi\) | |||||||
\(30\) | 2.92384i | 0.533818i | ||||||||
\(31\) | 0.443492 | + | 1.65514i | 0.0796536 | + | 0.297271i | 0.994248 | − | 0.107101i | \(-0.0341568\pi\) |
−0.914595 | + | 0.404372i | \(0.867490\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | 2.45207 | + | 2.45207i | 0.426851 | + | 0.426851i | ||||
\(34\) | 0.881252 | + | 0.881252i | 0.151133 | + | 0.151133i | ||||
\(35\) | −7.58104 | + | 1.53939i | −1.28143 | + | 0.260205i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | −1.00099 | − | 3.73573i | −0.164561 | − | 0.614151i | −0.998096 | − | 0.0616834i | \(-0.980353\pi\) |
0.833535 | − | 0.552467i | \(-0.186314\pi\) | |||||||
\(38\) | −2.18957 | + | 3.79246i | −0.355196 | + | 0.615217i | ||||
\(39\) | −1.28874 | + | 3.36737i | −0.206364 | + | 0.539210i | ||||
\(40\) | 2.53212 | − | 1.46192i | 0.400363 | − | 0.231150i | ||||
\(41\) | −2.20002 | − | 0.589495i | −0.343586 | − | 0.0920636i | 0.0828997 | − | 0.996558i | \(-0.473582\pi\) |
−0.426486 | + | 0.904494i | \(0.640249\pi\) | |||||||
\(42\) | −1.75238 | − | 1.98221i | −0.270398 | − | 0.305862i | ||||
\(43\) | −4.56039 | − | 2.63294i | −0.695453 | − | 0.401520i | 0.110199 | − | 0.993910i | \(-0.464851\pi\) |
−0.805651 | + | 0.592390i | \(0.798185\pi\) | |||||||
\(44\) | 0.897521 | − | 3.34960i | 0.135306 | − | 0.504970i | ||||
\(45\) | −2.82421 | − | 0.756745i | −0.421009 | − | 0.112809i | ||||
\(46\) | −1.28545 | − | 0.344435i | −0.189529 | − | 0.0507842i | ||||
\(47\) | 2.98438 | − | 11.1379i | 0.435317 | − | 1.62462i | −0.304990 | − | 0.952356i | \(-0.598653\pi\) |
0.740307 | − | 0.672269i | \(-0.234680\pi\) | |||||||
\(48\) | 0.866025 | + | 0.500000i | 0.125000 | + | 0.0721688i | ||||
\(49\) | 4.21694 | − | 5.58726i | 0.602420 | − | 0.798180i | ||||
\(50\) | 3.42791 | + | 0.918507i | 0.484780 | + | 0.129897i | ||||
\(51\) | −1.07931 | + | 0.623139i | −0.151133 | + | 0.0872569i | ||||
\(52\) | 3.56059 | − | 0.567601i | 0.493766 | − | 0.0787120i | ||||
\(53\) | −2.96970 | + | 5.14367i | −0.407920 | + | 0.706538i | −0.994656 | − | 0.103240i | \(-0.967079\pi\) |
0.586737 | + | 0.809778i | \(0.300412\pi\) | |||||||
\(54\) | −0.258819 | − | 0.965926i | −0.0352208 | − | 0.131446i | ||||
\(55\) | 8.78077 | − | 5.06958i | 1.18400 | − | 0.683582i | ||||
\(56\) | −0.840459 | + | 2.50871i | −0.112311 | + | 0.335241i | ||||
\(57\) | −3.09653 | − | 3.09653i | −0.410145 | − | 0.410145i | ||||
\(58\) | 1.26764 | + | 1.26764i | 0.166450 | + | 0.166450i | ||||
\(59\) | −2.57541 | + | 9.61156i | −0.335290 | + | 1.25132i | 0.568265 | + | 0.822846i | \(0.307615\pi\) |
−0.903555 | + | 0.428473i | \(0.859052\pi\) | |||||||
\(60\) | 0.756745 | + | 2.82421i | 0.0976954 | + | 0.364604i | ||||
\(61\) | − | 7.76947i | − | 0.994778i | −0.867528 | − | 0.497389i | \(-0.834292\pi\) | ||
0.867528 | − | 0.497389i | \(-0.165708\pi\) | |||||||
\(62\) | 0.856761 | + | 1.48395i | 0.108809 | + | 0.188462i | ||||
\(63\) | 2.36822 | − | 1.17963i | 0.298368 | − | 0.148620i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 8.53491 | + | 6.18791i | 1.05862 | + | 0.767516i | ||||
\(66\) | 3.00316 | + | 1.73388i | 0.369664 | + | 0.213426i | ||||
\(67\) | −2.45591 | − | 2.45591i | −0.300037 | − | 0.300037i | 0.540991 | − | 0.841028i | \(-0.318049\pi\) |
−0.841028 | + | 0.540991i | \(0.818049\pi\) | |||||||
\(68\) | 1.07931 | + | 0.623139i | 0.130885 | + | 0.0755667i | ||||
\(69\) | 0.665398 | − | 1.15250i | 0.0801045 | − | 0.138745i | ||||
\(70\) | −6.92430 | + | 3.44905i | −0.827612 | + | 0.412241i | ||||
\(71\) | −9.20456 | + | 2.46635i | −1.09238 | + | 0.292702i | −0.759658 | − | 0.650323i | \(-0.774634\pi\) |
−0.332722 | + | 0.943025i | \(0.607967\pi\) | |||||||
\(72\) | −0.707107 | + | 0.707107i | −0.0833333 | + | 0.0833333i | ||||
\(73\) | 15.5008 | − | 4.15344i | 1.81424 | − | 0.486123i | 0.818190 | − | 0.574948i | \(-0.194978\pi\) |
0.996047 | + | 0.0888247i | \(0.0283111\pi\) | |||||||
\(74\) | −1.93376 | − | 3.34937i | −0.224795 | − | 0.389356i | ||||
\(75\) | −1.77442 | + | 3.07338i | −0.204892 | + | 0.354884i | ||||
\(76\) | −1.13341 | + | 4.22993i | −0.130011 | + | 0.485207i | ||||
\(77\) | −2.91451 | + | 8.69960i | −0.332139 | + | 0.991411i | ||||
\(78\) | −0.373290 | + | 3.58618i | −0.0422667 | + | 0.406054i | ||||
\(79\) | −3.83793 | − | 6.64749i | −0.431801 | − | 0.747901i | 0.565227 | − | 0.824935i | \(-0.308788\pi\) |
−0.997028 | + | 0.0770338i | \(0.975455\pi\) | |||||||
\(80\) | 2.06747 | − | 2.06747i | 0.231150 | − | 0.231150i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −2.27763 | −0.251522 | ||||||||
\(83\) | −2.31664 | + | 2.31664i | −0.254284 | + | 0.254284i | −0.822724 | − | 0.568440i | \(-0.807547\pi\) |
0.568440 | + | 0.822724i | \(0.307547\pi\) | |||||||
\(84\) | −2.20570 | − | 1.46112i | −0.240662 | − | 0.159422i | ||||
\(85\) | 0.943115 | + | 3.51975i | 0.102295 | + | 0.381771i | ||||
\(86\) | −5.08645 | − | 1.36291i | −0.548486 | − | 0.146966i | ||||
\(87\) | −1.55254 | + | 0.896358i | −0.166450 | + | 0.0960997i | ||||
\(88\) | − | 3.46776i | − | 0.369664i | ||||||
\(89\) | 7.19049 | − | 1.92669i | 0.762190 | − | 0.204228i | 0.143272 | − | 0.989683i | \(-0.454238\pi\) |
0.618919 | + | 0.785455i | \(0.287571\pi\) | |||||||
\(90\) | −2.92384 | −0.308200 | ||||||||
\(91\) | −9.49490 | + | 0.920230i | −0.995336 | + | 0.0964663i | ||||
\(92\) | −1.33080 | −0.138745 | ||||||||
\(93\) | −1.65514 | + | 0.443492i | −0.171630 | + | 0.0459880i | ||||
\(94\) | − | 11.5308i | − | 1.18931i | ||||||
\(95\) | −11.0885 | + | 6.40197i | −1.13766 | + | 0.656828i | ||||
\(96\) | 0.965926 | + | 0.258819i | 0.0985844 | + | 0.0264156i | ||||
\(97\) | −2.79955 | − | 10.4481i | −0.284251 | − | 1.06084i | −0.949385 | − | 0.314116i | \(-0.898292\pi\) |
0.665133 | − | 0.746725i | \(-0.268375\pi\) | |||||||
\(98\) | 2.62716 | − | 6.48830i | 0.265383 | − | 0.655417i | ||||
\(99\) | −2.45207 | + | 2.45207i | −0.246443 | + | 0.246443i | ||||
\(100\) | 3.54884 | 0.354884 | ||||||||
\(101\) | −6.56962 | −0.653701 | −0.326851 | − | 0.945076i | \(-0.605987\pi\) | ||||
−0.326851 | + | 0.945076i | \(0.605987\pi\) | |||||||
\(102\) | −0.881252 | + | 0.881252i | −0.0872569 | + | 0.0872569i | ||||
\(103\) | −8.36742 | − | 14.4928i | −0.824466 | − | 1.42802i | −0.902326 | − | 0.431053i | \(-0.858142\pi\) |
0.0778601 | − | 0.996964i | \(-0.475191\pi\) | |||||||
\(104\) | 3.29236 | − | 1.46981i | 0.322843 | − | 0.144127i | ||||
\(105\) | −1.53939 | − | 7.58104i | −0.150229 | − | 0.739834i | ||||
\(106\) | −1.53723 | + | 5.73702i | −0.149309 | + | 0.557229i | ||||
\(107\) | 10.0835 | − | 17.4652i | 0.974811 | − | 1.68842i | 0.294252 | − | 0.955728i | \(-0.404929\pi\) |
0.680559 | − | 0.732694i | \(-0.261737\pi\) | |||||||
\(108\) | −0.500000 | − | 0.866025i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | −18.5593 | + | 4.97295i | −1.77766 | + | 0.476322i | −0.990154 | − | 0.139985i | \(-0.955295\pi\) |
−0.787506 | + | 0.616307i | \(0.788628\pi\) | |||||||
\(110\) | 7.16947 | − | 7.16947i | 0.683582 | − | 0.683582i | ||||
\(111\) | 3.73573 | − | 1.00099i | 0.354580 | − | 0.0950094i | ||||
\(112\) | −0.162519 | + | 2.64076i | −0.0153566 | + | 0.249528i | ||||
\(113\) | −5.57034 | + | 9.64811i | −0.524014 | + | 0.907618i | 0.475596 | + | 0.879664i | \(0.342233\pi\) |
−0.999609 | + | 0.0279542i | \(0.991101\pi\) | |||||||
\(114\) | −3.79246 | − | 2.18957i | −0.355196 | − | 0.205072i | ||||
\(115\) | −2.75138 | − | 2.75138i | −0.256567 | − | 0.256567i | ||||
\(116\) | 1.55254 | + | 0.896358i | 0.144150 | + | 0.0832248i | ||||
\(117\) | −3.36737 | − | 1.28874i | −0.311313 | − | 0.119144i | ||||
\(118\) | 9.95062i | 0.916029i | ||||||||
\(119\) | −2.74892 | − | 1.82097i | −0.251993 | − | 0.166928i | ||||
\(120\) | 1.46192 | + | 2.53212i | 0.133454 | + | 0.231150i | ||||
\(121\) | − | 1.02533i | − | 0.0932120i | ||||||
\(122\) | −2.01089 | − | 7.50473i | −0.182057 | − | 0.679446i | ||||
\(123\) | 0.589495 | − | 2.20002i | 0.0531529 | − | 0.198370i | ||||
\(124\) | 1.21164 | + | 1.21164i | 0.108809 | + | 0.108809i | ||||
\(125\) | −3.00023 | − | 3.00023i | −0.268349 | − | 0.268349i | ||||
\(126\) | 1.98221 | − | 1.75238i | 0.176590 | − | 0.156114i | ||||
\(127\) | −3.62141 | + | 2.09082i | −0.321348 | + | 0.185531i | −0.651993 | − | 0.758225i | \(-0.726067\pi\) |
0.330645 | + | 0.943755i | \(0.392734\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | 2.63294 | − | 4.56039i | 0.231818 | − | 0.401520i | ||||
\(130\) | 9.84564 | + | 3.76807i | 0.863519 | + | 0.330482i | ||||
\(131\) | −16.6665 | + | 9.62242i | −1.45616 | + | 0.840715i | −0.998819 | − | 0.0485764i | \(-0.984532\pi\) |
−0.457341 | + | 0.889291i | \(0.651198\pi\) | |||||||
\(132\) | 3.34960 | + | 0.897521i | 0.291545 | + | 0.0781192i | ||||
\(133\) | 3.68050 | − | 10.9860i | 0.319140 | − | 0.952609i | ||||
\(134\) | −3.00786 | − | 1.73659i | −0.259839 | − | 0.150018i | ||||
\(135\) | 0.756745 | − | 2.82421i | 0.0651303 | − | 0.243069i | ||||
\(136\) | 1.20381 | + | 0.322560i | 0.103226 | + | 0.0276593i | ||||
\(137\) | −15.7554 | − | 4.22164i | −1.34607 | − | 0.360679i | −0.487388 | − | 0.873186i | \(-0.662050\pi\) |
−0.858683 | + | 0.512507i | \(0.828717\pi\) | |||||||
\(138\) | 0.344435 | − | 1.28545i | 0.0293203 | − | 0.109425i | ||||
\(139\) | 12.0586 | + | 6.96206i | 1.02280 | + | 0.590514i | 0.914914 | − | 0.403649i | \(-0.132258\pi\) |
0.107887 | + | 0.994163i | \(0.465592\pi\) | |||||||
\(140\) | −5.79568 | + | 5.12367i | −0.489824 | + | 0.433029i | ||||
\(141\) | 11.1379 | + | 2.98438i | 0.937978 | + | 0.251330i | ||||
\(142\) | −8.25258 | + | 4.76463i | −0.692541 | + | 0.399839i | ||||
\(143\) | 11.4171 | − | 5.09694i | 0.954747 | − | 0.426228i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 1.35663 | + | 5.06301i | 0.112662 | + | 0.420460i | ||||
\(146\) | 13.8977 | − | 8.02383i | 1.15018 | − | 0.664057i | ||||
\(147\) | 5.58726 | + | 4.21694i | 0.460829 | + | 0.347807i | ||||
\(148\) | −2.73475 | − | 2.73475i | −0.224795 | − | 0.224795i | ||||
\(149\) | 8.71829 | + | 8.71829i | 0.714230 | + | 0.714230i | 0.967417 | − | 0.253187i | \(-0.0814788\pi\) |
−0.253187 | + | 0.967417i | \(0.581479\pi\) | |||||||
\(150\) | −0.918507 | + | 3.42791i | −0.0749958 | + | 0.279888i | ||||
\(151\) | −1.92637 | − | 7.18931i | −0.156766 | − | 0.585058i | −0.998948 | − | 0.0458642i | \(-0.985396\pi\) |
0.842182 | − | 0.539193i | \(-0.181271\pi\) | |||||||
\(152\) | 4.37915i | 0.355196i | ||||||||
\(153\) | −0.623139 | − | 1.07931i | −0.0503778 | − | 0.0872569i | ||||
\(154\) | −0.563576 | + | 9.15749i | −0.0454143 | + | 0.737932i | ||||
\(155\) | 5.01007i | 0.402418i | ||||||||
\(156\) | 0.567601 | + | 3.56059i | 0.0454444 | + | 0.285076i | ||||
\(157\) | 8.60391 | + | 4.96747i | 0.686667 | + | 0.396447i | 0.802362 | − | 0.596838i | \(-0.203576\pi\) |
−0.115695 | + | 0.993285i | \(0.536910\pi\) | |||||||
\(158\) | −5.42765 | − | 5.42765i | −0.431801 | − | 0.431801i | ||||
\(159\) | −5.14367 | − | 2.96970i | −0.407920 | − | 0.235513i | ||||
\(160\) | 1.46192 | − | 2.53212i | 0.115575 | − | 0.200182i | ||||
\(161\) | 3.51430 | + | 0.216280i | 0.276966 | + | 0.0170452i | ||||
\(162\) | 0.965926 | − | 0.258819i | 0.0758903 | − | 0.0203347i | ||||
\(163\) | 2.74291 | − | 2.74291i | 0.214842 | − | 0.214842i | −0.591479 | − | 0.806320i | \(-0.701456\pi\) |
0.806320 | + | 0.591479i | \(0.201456\pi\) | |||||||
\(164\) | −2.20002 | + | 0.589495i | −0.171793 | + | 0.0460318i | ||||
\(165\) | 5.06958 | + | 8.78077i | 0.394666 | + | 0.683582i | ||||
\(166\) | −1.63811 | + | 2.83729i | −0.127142 | + | 0.220216i | ||||
\(167\) | −4.18809 | + | 15.6302i | −0.324084 | + | 1.20950i | 0.591145 | + | 0.806565i | \(0.298676\pi\) |
−0.915229 | + | 0.402934i | \(0.867991\pi\) | |||||||
\(168\) | −2.50871 | − | 0.840459i | −0.193551 | − | 0.0648428i | ||||
\(169\) | 9.67830 | + | 8.67932i | 0.744484 | + | 0.667640i | ||||
\(170\) | 1.82196 | + | 3.15572i | 0.139738 | + | 0.242033i | ||||
\(171\) | 3.09653 | − | 3.09653i | 0.236797 | − | 0.236797i | ||||
\(172\) | −5.26588 | −0.401520 | ||||||||
\(173\) | 5.36783 | 0.408109 | 0.204054 | − | 0.978960i | \(-0.434588\pi\) | ||||
0.204054 | + | 0.978960i | \(0.434588\pi\) | |||||||
\(174\) | −1.26764 | + | 1.26764i | −0.0960997 | + | 0.0960997i | ||||
\(175\) | −9.37161 | − | 0.576754i | −0.708427 | − | 0.0435985i | ||||
\(176\) | −0.897521 | − | 3.34960i | −0.0676532 | − | 0.252485i | ||||
\(177\) | −9.61156 | − | 2.57541i | −0.722449 | − | 0.193580i | ||||
\(178\) | 6.44682 | − | 3.72207i | 0.483209 | − | 0.278981i | ||||
\(179\) | 15.1482i | 1.13223i | 0.824326 | + | 0.566116i | \(0.191554\pi\) | ||||
−0.824326 | + | 0.566116i | \(0.808446\pi\) | |||||||
\(180\) | −2.82421 | + | 0.756745i | −0.210504 | + | 0.0564045i | ||||
\(181\) | 8.93149 | 0.663873 | 0.331936 | − | 0.943302i | \(-0.392298\pi\) | ||||
0.331936 | + | 0.943302i | \(0.392298\pi\) | |||||||
\(182\) | −8.93320 | + | 3.34634i | −0.662173 | + | 0.248047i | ||||
\(183\) | 7.76947 | 0.574335 | ||||||||
\(184\) | −1.28545 | + | 0.344435i | −0.0947646 | + | 0.0253921i | ||||
\(185\) | − | 11.3080i | − | 0.831380i | ||||||
\(186\) | −1.48395 | + | 0.856761i | −0.108809 | + | 0.0628208i | ||||
\(187\) | 4.17453 | + | 1.11856i | 0.305272 | + | 0.0817973i | ||||
\(188\) | −2.98438 | − | 11.1379i | −0.217658 | − | 0.812312i | ||||
\(189\) | 1.17963 | + | 2.36822i | 0.0858056 | + | 0.172263i | ||||
\(190\) | −9.05375 | + | 9.05375i | −0.656828 | + | 0.656828i | ||||
\(191\) | 19.6005 | 1.41825 | 0.709123 | − | 0.705085i | \(-0.249091\pi\) | ||||
0.709123 | + | 0.705085i | \(0.249091\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | 6.19651 | − | 6.19651i | 0.446035 | − | 0.446035i | −0.447999 | − | 0.894034i | \(-0.647863\pi\) |
0.894034 | + | 0.447999i | \(0.147863\pi\) | |||||||
\(194\) | −5.40832 | − | 9.36748i | −0.388294 | − | 0.672546i | ||||
\(195\) | −6.18791 | + | 8.53491i | −0.443126 | + | 0.611197i | ||||
\(196\) | 0.858346 | − | 6.94718i | 0.0613104 | − | 0.496227i | ||||
\(197\) | −2.82376 | + | 10.5384i | −0.201185 | + | 0.750832i | 0.789394 | + | 0.613887i | \(0.210395\pi\) |
−0.990579 | + | 0.136945i | \(0.956272\pi\) | |||||||
\(198\) | −1.73388 | + | 3.00316i | −0.123221 | + | 0.213426i | ||||
\(199\) | 8.05090 | + | 13.9446i | 0.570713 | + | 0.988505i | 0.996493 | + | 0.0836776i | \(0.0266666\pi\) |
−0.425779 | + | 0.904827i | \(0.640000\pi\) | |||||||
\(200\) | 3.42791 | − | 0.918507i | 0.242390 | − | 0.0649483i | ||||
\(201\) | 2.45591 | − | 2.45591i | 0.173226 | − | 0.173226i | ||||
\(202\) | −6.34576 | + | 1.70034i | −0.446486 | + | 0.119636i | ||||
\(203\) | −3.95420 | − | 2.61938i | −0.277530 | − | 0.183844i | ||||
\(204\) | −0.623139 | + | 1.07931i | −0.0436285 | + | 0.0755667i | ||||
\(205\) | −5.76724 | − | 3.32972i | −0.402801 | − | 0.232557i | ||||
\(206\) | −11.8333 | − | 11.8333i | −0.824466 | − | 0.824466i | ||||
\(207\) | 1.15250 | + | 0.665398i | 0.0801045 | + | 0.0462483i | ||||
\(208\) | 2.79976 | − | 2.27185i | 0.194129 | − | 0.157525i | ||||
\(209\) | 15.1858i | 1.05043i | ||||||||
\(210\) | −3.44905 | − | 6.92430i | −0.238007 | − | 0.477822i | ||||
\(211\) | −2.03799 | − | 3.52990i | −0.140301 | − | 0.243008i | 0.787309 | − | 0.616559i | \(-0.211474\pi\) |
−0.927610 | + | 0.373550i | \(0.878140\pi\) | |||||||
\(212\) | 5.93940i | 0.407920i | ||||||||
\(213\) | −2.46635 | − | 9.20456i | −0.168992 | − | 0.630686i | ||||
\(214\) | 5.21961 | − | 19.4799i | 0.356805 | − | 1.33162i | ||||
\(215\) | −10.8870 | − | 10.8870i | −0.742490 | − | 0.742490i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | −3.00274 | − | 3.39657i | −0.203839 | − | 0.230574i | ||||
\(218\) | −16.6398 | + | 9.60701i | −1.12699 | + | 0.650669i | ||||
\(219\) | 4.15344 | + | 15.5008i | 0.280663 | + | 1.04745i | ||||
\(220\) | 5.06958 | − | 8.78077i | 0.341791 | − | 0.592000i | ||||
\(221\) | 0.707388 | + | 4.43749i | 0.0475841 | + | 0.298498i | ||||
\(222\) | 3.34937 | − | 1.93376i | 0.224795 | − | 0.129785i | ||||
\(223\) | 24.1760 | + | 6.47794i | 1.61894 | + | 0.433795i | 0.950691 | − | 0.310139i | \(-0.100375\pi\) |
0.668254 | + | 0.743934i | \(0.267042\pi\) | |||||||
\(224\) | 0.526496 | + | 2.59284i | 0.0351780 | + | 0.173241i | ||||
\(225\) | −3.07338 | − | 1.77442i | −0.204892 | − | 0.118295i | ||||
\(226\) | −2.88342 | + | 10.7611i | −0.191802 | + | 0.715816i | ||||
\(227\) | −2.40025 | − | 0.643146i | −0.159310 | − | 0.0426871i | 0.178282 | − | 0.983979i | \(-0.442946\pi\) |
−0.337593 | + | 0.941292i | \(0.609613\pi\) | |||||||
\(228\) | −4.22993 | − | 1.13341i | −0.280134 | − | 0.0750617i | ||||
\(229\) | 1.61841 | − | 6.04000i | 0.106948 | − | 0.399134i | −0.891611 | − | 0.452802i | \(-0.850424\pi\) |
0.998559 | + | 0.0536676i | \(0.0170911\pi\) | |||||||
\(230\) | −3.36973 | − | 1.94552i | −0.222194 | − | 0.128284i | ||||
\(231\) | −8.69960 | − | 2.91451i | −0.572391 | − | 0.191760i | ||||
\(232\) | 1.73163 | + | 0.463989i | 0.113687 | + | 0.0304624i | ||||
\(233\) | −0.775199 | + | 0.447562i | −0.0507850 | + | 0.0293207i | −0.525178 | − | 0.850993i | \(-0.676001\pi\) |
0.474393 | + | 0.880313i | \(0.342668\pi\) | |||||||
\(234\) | −3.58618 | − | 0.373290i | −0.234436 | − | 0.0244027i | ||||
\(235\) | 16.8571 | − | 29.1973i | 1.09963 | − | 1.90462i | ||||
\(236\) | 2.57541 | + | 9.61156i | 0.167645 | + | 0.625659i | ||||
\(237\) | 6.64749 | − | 3.83793i | 0.431801 | − | 0.249300i | ||||
\(238\) | −3.12655 | − | 1.04745i | −0.202664 | − | 0.0678958i | ||||
\(239\) | 12.8578 | + | 12.8578i | 0.831703 | + | 0.831703i | 0.987750 | − | 0.156047i | \(-0.0498750\pi\) |
−0.156047 | + | 0.987750i | \(0.549875\pi\) | |||||||
\(240\) | 2.06747 | + | 2.06747i | 0.133454 | + | 0.133454i | ||||
\(241\) | −7.12871 | + | 26.6047i | −0.459201 | + | 1.71376i | 0.216235 | + | 0.976341i | \(0.430622\pi\) |
−0.675436 | + | 0.737419i | \(0.736045\pi\) | |||||||
\(242\) | −0.265375 | − | 0.990395i | −0.0170590 | − | 0.0636650i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −3.88473 | − | 6.72855i | −0.248695 | − | 0.430752i | ||||
\(245\) | 16.1377 | − | 12.5885i | 1.03100 | − | 0.804247i | ||||
\(246\) | − | 2.27763i | − | 0.145217i | ||||||
\(247\) | −14.4178 | + | 6.43652i | −0.917380 | + | 0.409546i | ||||
\(248\) | 1.48395 | + | 0.856761i | 0.0942312 | + | 0.0544044i | ||||
\(249\) | −2.31664 | − | 2.31664i | −0.146811 | − | 0.146811i | ||||
\(250\) | −3.67451 | − | 2.12148i | −0.232397 | − | 0.134174i | ||||
\(251\) | 2.08228 | − | 3.60662i | 0.131433 | − | 0.227648i | −0.792796 | − | 0.609487i | \(-0.791376\pi\) |
0.924229 | + | 0.381839i | \(0.124709\pi\) | |||||||
\(252\) | 1.46112 | − | 2.20570i | 0.0920421 | − | 0.138946i | ||||
\(253\) | −4.45763 | + | 1.19442i | −0.280248 | + | 0.0750924i | ||||
\(254\) | −2.95687 | + | 2.95687i | −0.185531 | + | 0.185531i | ||||
\(255\) | −3.51975 | + | 0.943115i | −0.220416 | + | 0.0590602i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 9.76507 | − | 16.9136i | 0.609128 | − | 1.05504i | −0.382256 | − | 0.924056i | \(-0.624853\pi\) |
0.991384 | − | 0.130985i | \(-0.0418139\pi\) | |||||||
\(258\) | 1.36291 | − | 5.08645i | 0.0848511 | − | 0.316669i | ||||
\(259\) | 6.77735 | + | 7.66624i | 0.421124 | + | 0.476357i | ||||
\(260\) | 10.4854 | + | 1.09144i | 0.650277 | + | 0.0676882i | ||||
\(261\) | −0.896358 | − | 1.55254i | −0.0554832 | − | 0.0960997i | ||||
\(262\) | −13.6082 | + | 13.6082i | −0.840715 | + | 0.840715i | ||||
\(263\) | −8.42237 | −0.519346 | −0.259673 | − | 0.965697i | \(-0.583615\pi\) | ||||
−0.259673 | + | 0.965697i | \(0.583615\pi\) | |||||||
\(264\) | 3.46776 | 0.213426 | ||||||||
\(265\) | −12.2795 | + | 12.2795i | −0.754325 | + | 0.754325i | ||||
\(266\) | 0.711695 | − | 11.5643i | 0.0436368 | − | 0.709050i | ||||
\(267\) | 1.92669 | + | 7.19049i | 0.117911 | + | 0.440051i | ||||
\(268\) | −3.35483 | − | 0.898924i | −0.204929 | − | 0.0549105i | ||||
\(269\) | 6.98743 | − | 4.03419i | 0.426031 | − | 0.245969i | −0.271623 | − | 0.962404i | \(-0.587560\pi\) |
0.697654 | + | 0.716435i | \(0.254227\pi\) | |||||||
\(270\) | − | 2.92384i | − | 0.177939i | ||||||
\(271\) | −13.3593 | + | 3.57961i | −0.811519 | + | 0.217446i | −0.640635 | − | 0.767845i | \(-0.721329\pi\) |
−0.170884 | + | 0.985291i | \(0.554662\pi\) | |||||||
\(272\) | 1.24628 | 0.0755667 | ||||||||
\(273\) | −0.920230 | − | 9.49490i | −0.0556948 | − | 0.574658i | ||||
\(274\) | −16.3111 | −0.985392 | ||||||||
\(275\) | 11.8872 | − | 3.18516i | 0.716823 | − | 0.192072i | ||||
\(276\) | − | 1.33080i | − | 0.0801045i | ||||||
\(277\) | 5.72080 | − | 3.30291i | 0.343730 | − | 0.198452i | −0.318190 | − | 0.948027i | \(-0.603075\pi\) |
0.661920 | + | 0.749574i | \(0.269742\pi\) | |||||||
\(278\) | 13.4497 | + | 3.60383i | 0.806657 | + | 0.216143i | ||||
\(279\) | −0.443492 | − | 1.65514i | −0.0265512 | − | 0.0990904i | ||||
\(280\) | −4.27209 | + | 6.44912i | −0.255306 | + | 0.385408i | ||||
\(281\) | 7.87812 | − | 7.87812i | 0.469969 | − | 0.469969i | −0.431935 | − | 0.901905i | \(-0.642169\pi\) |
0.901905 | + | 0.431935i | \(0.142169\pi\) | |||||||
\(282\) | 11.5308 | 0.686647 | ||||||||
\(283\) | 19.1650 | 1.13924 | 0.569619 | − | 0.821909i | \(-0.307091\pi\) | ||||
0.569619 | + | 0.821909i | \(0.307091\pi\) | |||||||
\(284\) | −6.73821 | + | 6.73821i | −0.399839 | + | 0.399839i | ||||
\(285\) | −6.40197 | − | 11.0885i | −0.379220 | − | 0.656828i | ||||
\(286\) | 9.70890 | − | 7.87823i | 0.574099 | − | 0.465850i | ||||
\(287\) | 5.90553 | − | 1.19917i | 0.348592 | − | 0.0707845i | ||||
\(288\) | −0.258819 | + | 0.965926i | −0.0152511 | + | 0.0569177i | ||||
\(289\) | 7.72340 | − | 13.3773i | 0.454317 | − | 0.786901i | ||||
\(290\) | 2.62081 | + | 4.53937i | 0.153899 | + | 0.266561i | ||||
\(291\) | 10.4481 | − | 2.79955i | 0.612476 | − | 0.164113i | ||||
\(292\) | 11.3474 | − | 11.3474i | 0.664057 | − | 0.664057i | ||||
\(293\) | −13.4509 | + | 3.60415i | −0.785807 | + | 0.210556i | −0.629343 | − | 0.777127i | \(-0.716676\pi\) |
−0.156464 | + | 0.987684i | \(0.550009\pi\) | |||||||
\(294\) | 6.48830 | + | 2.62716i | 0.378405 | + | 0.153219i | ||||
\(295\) | −14.5470 | + | 25.1962i | −0.846959 | + | 1.46698i | ||||
\(296\) | −3.34937 | − | 1.93376i | −0.194678 | − | 0.112397i | ||||
\(297\) | −2.45207 | − | 2.45207i | −0.142284 | − | 0.142284i | ||||
\(298\) | 10.6777 | + | 6.16476i | 0.618542 | + | 0.357115i | ||||
\(299\) | −3.02337 | − | 3.72591i | −0.174846 | − | 0.215475i | ||||
\(300\) | 3.54884i | 0.204892i | ||||||||
\(301\) | 13.9059 | + | 0.855806i | 0.801523 | + | 0.0493278i | ||||
\(302\) | −3.72146 | − | 6.44576i | −0.214146 | − | 0.370912i | ||||
\(303\) | − | 6.56962i | − | 0.377415i | ||||||
\(304\) | 1.13341 | + | 4.22993i | 0.0650054 | + | 0.242603i | ||||
\(305\) | 5.87951 | − | 21.9426i | 0.336660 | − | 1.25643i | ||||
\(306\) | −0.881252 | − | 0.881252i | −0.0503778 | − | 0.0503778i | ||||
\(307\) | 1.15724 | + | 1.15724i | 0.0660473 | + | 0.0660473i | 0.739359 | − | 0.673312i | \(-0.235129\pi\) |
−0.673312 | + | 0.739359i | \(0.735129\pi\) | |||||||
\(308\) | 1.82576 | + | 8.99132i | 0.104032 | + | 0.512328i | ||||
\(309\) | 14.4928 | − | 8.36742i | 0.824466 | − | 0.476006i | ||||
\(310\) | 1.29670 | + | 4.83935i | 0.0736476 | + | 0.274857i | ||||
\(311\) | −0.552024 | + | 0.956133i | −0.0313024 | + | 0.0542173i | −0.881252 | − | 0.472646i | \(-0.843299\pi\) |
0.849950 | + | 0.526864i | \(0.176632\pi\) | |||||||
\(312\) | 1.46981 | + | 3.29236i | 0.0832116 | + | 0.186393i | ||||
\(313\) | 11.9513 | − | 6.90007i | 0.675526 | − | 0.390015i | −0.122642 | − | 0.992451i | \(-0.539137\pi\) |
0.798167 | + | 0.602436i | \(0.205803\pi\) | |||||||
\(314\) | 9.59641 | + | 2.57135i | 0.541557 | + | 0.145110i | ||||
\(315\) | 7.58104 | − | 1.53939i | 0.427143 | − | 0.0867349i | ||||
\(316\) | −6.64749 | − | 3.83793i | −0.373951 | − | 0.215900i | ||||
\(317\) | −5.56818 | + | 20.7807i | −0.312740 | + | 1.16716i | 0.613335 | + | 0.789823i | \(0.289827\pi\) |
−0.926075 | + | 0.377339i | \(0.876839\pi\) | |||||||
\(318\) | −5.73702 | − | 1.53723i | −0.321716 | − | 0.0862036i | ||||
\(319\) | 6.00488 | + | 1.60900i | 0.336208 | + | 0.0900868i | ||||
\(320\) | 0.756745 | − | 2.82421i | 0.0423034 | − | 0.157878i | ||||
\(321\) | 17.4652 | + | 10.0835i | 0.974811 | + | 0.562807i | ||||
\(322\) | 3.45053 | − | 0.700659i | 0.192291 | − | 0.0390462i | ||||
\(323\) | −5.27167 | − | 1.41254i | −0.293324 | − | 0.0785959i | ||||
\(324\) | 0.866025 | − | 0.500000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | 8.06244 | + | 9.93591i | 0.447224 | + | 0.551145i | ||||
\(326\) | 1.93953 | − | 3.35937i | 0.107421 | − | 0.186058i | ||||
\(327\) | −4.97295 | − | 18.5593i | −0.275005 | − | 1.02633i | ||||
\(328\) | −1.97249 | + | 1.13882i | −0.108912 | + | 0.0628806i | ||||
\(329\) | 6.07091 | + | 29.8974i | 0.334700 | + | 1.64830i | ||||
\(330\) | 7.16947 | + | 7.16947i | 0.394666 | + | 0.394666i | ||||
\(331\) | −19.5495 | − | 19.5495i | −1.07454 | − | 1.07454i | −0.996989 | − | 0.0775473i | \(-0.975291\pi\) |
−0.0775473 | − | 0.996989i | \(-0.524709\pi\) | |||||||
\(332\) | −0.847948 | + | 3.16458i | −0.0465372 | + | 0.173679i | ||||
\(333\) | 1.00099 | + | 3.73573i | 0.0548537 | + | 0.204717i | ||||
\(334\) | 16.1815i | 0.885415i | ||||||||
\(335\) | −5.07750 | − | 8.79449i | −0.277414 | − | 0.480495i | ||||
\(336\) | −2.64076 | − | 0.162519i | −0.144065 | − | 0.00886614i | ||||
\(337\) | 0.926097i | 0.0504477i | 0.999682 | + | 0.0252239i | \(0.00802985\pi\) | ||||
−0.999682 | + | 0.0252239i | \(0.991970\pi\) | |||||||
\(338\) | 11.5949 | + | 5.87865i | 0.630679 | + | 0.319757i | ||||
\(339\) | −9.64811 | − | 5.57034i | −0.524014 | − | 0.302539i | ||||
\(340\) | 2.57664 | + | 2.57664i | 0.139738 | + | 0.139738i | ||||
\(341\) | 5.14599 | + | 2.97104i | 0.278671 | + | 0.160891i | ||||
\(342\) | 2.18957 | − | 3.79246i | 0.118399 | − | 0.205072i | ||||
\(343\) | −3.39573 | + | 18.2063i | −0.183352 | + | 0.983047i | ||||
\(344\) | −5.08645 | + | 1.36291i | −0.274243 | + | 0.0734832i | ||||
\(345\) | 2.75138 | − | 2.75138i | 0.148129 | − | 0.148129i | ||||
\(346\) | 5.18493 | − | 1.38930i | 0.278744 | − | 0.0746891i | ||||
\(347\) | −0.704206 | − | 1.21972i | −0.0378037 | − | 0.0654780i | 0.846504 | − | 0.532382i | \(-0.178703\pi\) |
−0.884308 | + | 0.466904i | \(0.845370\pi\) | |||||||
\(348\) | −0.896358 | + | 1.55254i | −0.0480499 | + | 0.0832248i | ||||
\(349\) | −8.02729 | + | 29.9583i | −0.429691 | + | 1.60363i | 0.323769 | + | 0.946136i | \(0.395050\pi\) |
−0.753460 | + | 0.657493i | \(0.771617\pi\) | |||||||
\(350\) | −9.20156 | + | 1.86845i | −0.491844 | + | 0.0998729i | ||||
\(351\) | 1.28874 | − | 3.36737i | 0.0687879 | − | 0.179737i | ||||
\(352\) | −1.73388 | − | 3.00316i | −0.0924160 | − | 0.160069i | ||||
\(353\) | −6.80416 | + | 6.80416i | −0.362149 | + | 0.362149i | −0.864604 | − | 0.502455i | \(-0.832430\pi\) |
0.502455 | + | 0.864604i | \(0.332430\pi\) | |||||||
\(354\) | −9.95062 | −0.528869 | ||||||||
\(355\) | −27.8620 | −1.47876 | ||||||||
\(356\) | 5.26380 | − | 5.26380i | 0.278981 | − | 0.278981i | ||||
\(357\) | 1.82097 | − | 2.74892i | 0.0963757 | − | 0.145488i | ||||
\(358\) | 3.92065 | + | 14.6321i | 0.207213 | + | 0.773329i | ||||
\(359\) | −7.02546 | − | 1.88247i | −0.370790 | − | 0.0993528i | 0.0686122 | − | 0.997643i | \(-0.478143\pi\) |
−0.439402 | + | 0.898291i | \(0.644810\pi\) | |||||||
\(360\) | −2.53212 | + | 1.46192i | −0.133454 | + | 0.0770499i | ||||
\(361\) | − | 0.176954i | − | 0.00931339i | ||||||
\(362\) | 8.62716 | − | 2.31164i | 0.453433 | − | 0.121497i | ||||
\(363\) | 1.02533 | 0.0538160 | ||||||||
\(364\) | −7.76271 | + | 5.54439i | −0.406877 | + | 0.290605i | ||||
\(365\) | 46.9208 | 2.45595 | ||||||||
\(366\) | 7.50473 | − | 2.01089i | 0.392278 | − | 0.105111i | ||||
\(367\) | 34.7936i | 1.81621i | 0.418740 | + | 0.908106i | \(0.362472\pi\) | ||||
−0.418740 | + | 0.908106i | \(0.637528\pi\) | |||||||
\(368\) | −1.15250 | + | 0.665398i | −0.0600783 | + | 0.0346862i | ||||
\(369\) | 2.20002 | + | 0.589495i | 0.114529 | + | 0.0306879i | ||||
\(370\) | −2.92672 | − | 10.9227i | −0.152153 | − | 0.567843i | ||||
\(371\) | 0.965266 | − | 15.6845i | 0.0501141 | − | 0.814299i | ||||
\(372\) | −1.21164 | + | 1.21164i | −0.0628208 | + | 0.0628208i | ||||
\(373\) | 13.2174 | 0.684371 | 0.342185 | − | 0.939633i | \(-0.388833\pi\) | ||||
0.342185 | + | 0.939633i | \(0.388833\pi\) | |||||||
\(374\) | 4.32179 | 0.223474 | ||||||||
\(375\) | 3.00023 | − | 3.00023i | 0.154931 | − | 0.154931i | ||||
\(376\) | −5.76538 | − | 9.98594i | −0.297327 | − | 0.514985i | ||||
\(377\) | 1.01755 | + | 6.38314i | 0.0524063 | + | 0.328748i | ||||
\(378\) | 1.75238 | + | 1.98221i | 0.0901326 | + | 0.101954i | ||||
\(379\) | −2.58134 | + | 9.63370i | −0.132595 | + | 0.494850i | −0.999996 | − | 0.00275893i | \(-0.999122\pi\) |
0.867402 | + | 0.497609i | \(0.165788\pi\) | |||||||
\(380\) | −6.40197 | + | 11.0885i | −0.328414 | + | 0.568830i | ||||
\(381\) | −2.09082 | − | 3.62141i | −0.107116 | − | 0.185531i | ||||
\(382\) | 18.9327 | − | 5.07299i | 0.968680 | − | 0.259557i | ||||
\(383\) | −21.5550 | + | 21.5550i | −1.10141 | + | 1.10141i | −0.107166 | + | 0.994241i | \(0.534178\pi\) |
−0.994241 | + | 0.107166i | \(0.965822\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | −14.8146 | + | 22.3640i | −0.755020 | + | 1.13977i | ||||
\(386\) | 4.38159 | − | 7.58914i | 0.223017 | − | 0.386277i | ||||
\(387\) | 4.56039 | + | 2.63294i | 0.231818 | + | 0.133840i | ||||
\(388\) | −7.64851 | − | 7.64851i | −0.388294 | − | 0.388294i | ||||
\(389\) | 31.0688 | + | 17.9376i | 1.57525 | + | 0.909470i | 0.995509 | + | 0.0946679i | \(0.0301789\pi\) |
0.579739 | + | 0.814802i | \(0.303154\pi\) | |||||||
\(390\) | −3.76807 | + | 9.84564i | −0.190804 | + | 0.498553i | ||||
\(391\) | − | 1.65854i | − | 0.0838760i | ||||||
\(392\) | −0.968963 | − | 6.93261i | −0.0489400 | − | 0.350150i | ||||
\(393\) | −9.62242 | − | 16.6665i | −0.485387 | − | 0.840715i | ||||
\(394\) | 10.9102i | 0.549647i | ||||||||
\(395\) | −5.80867 | − | 21.6783i | −0.292266 | − | 1.09075i | ||||
\(396\) | −0.897521 | + | 3.34960i | −0.0451021 | + | 0.168323i | ||||
\(397\) | −16.6291 | − | 16.6291i | −0.834593 | − | 0.834593i | 0.153549 | − | 0.988141i | \(-0.450930\pi\) |
−0.988141 | + | 0.153549i | \(0.950930\pi\) | |||||||
\(398\) | 11.3857 | + | 11.3857i | 0.570713 | + | 0.570713i | ||||
\(399\) | 10.9860 | + | 3.68050i | 0.549989 | + | 0.184255i | ||||
\(400\) | 3.07338 | − | 1.77442i | 0.153669 | − | 0.0887210i | ||||
\(401\) | −8.63266 | − | 32.2175i | −0.431094 | − | 1.60887i | −0.750244 | − | 0.661162i | \(-0.770064\pi\) |
0.319149 | − | 0.947704i | \(-0.396603\pi\) | |||||||
\(402\) | 1.73659 | − | 3.00786i | 0.0866131 | − | 0.150018i | ||||
\(403\) | −0.639640 | + | 6.14499i | −0.0318627 | + | 0.306104i | ||||
\(404\) | −5.68945 | + | 3.28481i | −0.283061 | + | 0.163425i | ||||
\(405\) | 2.82421 | + | 0.756745i | 0.140336 | + | 0.0376030i | ||||
\(406\) | −4.49741 | − | 1.50671i | −0.223203 | − | 0.0747765i | ||||
\(407\) | −11.6148 | − | 6.70580i | −0.575724 | − | 0.332394i | ||||
\(408\) | −0.322560 | + | 1.20381i | −0.0159691 | + | 0.0595976i | ||||
\(409\) | −25.0607 | − | 6.71499i | −1.23917 | − | 0.332035i | −0.421027 | − | 0.907048i | \(-0.638330\pi\) |
−0.818144 | + | 0.575013i | \(0.804997\pi\) | |||||||
\(410\) | −6.43252 | − | 1.72359i | −0.317679 | − | 0.0851219i | ||||
\(411\) | 4.22164 | − | 15.7554i | 0.208238 | − | 0.777154i | ||||
\(412\) | −14.4928 | − | 8.36742i | −0.714009 | − | 0.412233i | ||||
\(413\) | −5.23896 | − | 25.8003i | −0.257793 | − | 1.26955i | ||||
\(414\) | 1.28545 | + | 0.344435i | 0.0631764 | + | 0.0169281i | ||||
\(415\) | −8.29578 | + | 4.78957i | −0.407224 | + | 0.235111i | ||||
\(416\) | 2.11637 | − | 2.91907i | 0.103763 | − | 0.143119i | ||||
\(417\) | −6.96206 | + | 12.0586i | −0.340934 | + | 0.590514i | ||||
\(418\) | 3.93038 | + | 14.6684i | 0.192241 | + | 0.717454i | ||||
\(419\) | 30.4185 | − | 17.5621i | 1.48604 | − | 0.857966i | 0.486167 | − | 0.873866i | \(-0.338395\pi\) |
0.999874 | + | 0.0159001i | \(0.00506136\pi\) | |||||||
\(420\) | −5.12367 | − | 5.79568i | −0.250010 | − | 0.282800i | ||||
\(421\) | −24.7826 | − | 24.7826i | −1.20783 | − | 1.20783i | −0.971729 | − | 0.236099i | \(-0.924131\pi\) |
−0.236099 | − | 0.971729i | \(-0.575869\pi\) | |||||||
\(422\) | −2.88215 | − | 2.88215i | −0.140301 | − | 0.140301i | ||||
\(423\) | −2.98438 | + | 11.1379i | −0.145106 | + | 0.541542i | ||||
\(424\) | 1.53723 | + | 5.73702i | 0.0746545 | + | 0.278615i | ||||
\(425\) | 4.42284i | 0.214539i | ||||||||
\(426\) | −4.76463 | − | 8.25258i | −0.230847 | − | 0.399839i | ||||
\(427\) | 9.16511 | + | 18.3998i | 0.443531 | + | 0.890429i | ||||
\(428\) | − | 20.1670i | − | 0.974811i | ||||||
\(429\) | 5.09694 | + | 11.4171i | 0.246083 | + | 0.551223i | ||||
\(430\) | −13.3338 | − | 7.69830i | −0.643015 | − | 0.371245i | ||||
\(431\) | 15.4341 | + | 15.4341i | 0.743434 | + | 0.743434i | 0.973237 | − | 0.229803i | \(-0.0738082\pi\) |
−0.229803 | + | 0.973237i | \(0.573808\pi\) | |||||||
\(432\) | −0.866025 | − | 0.500000i | −0.0416667 | − | 0.0240563i | ||||
\(433\) | 2.92764 | − | 5.07082i | 0.140693 | − | 0.243688i | −0.787065 | − | 0.616871i | \(-0.788400\pi\) |
0.927758 | + | 0.373183i | \(0.121734\pi\) | |||||||
\(434\) | −3.77952 | − | 2.50367i | −0.181423 | − | 0.120180i | ||||
\(435\) | −5.06301 | + | 1.35663i | −0.242753 | + | 0.0650454i | ||||
\(436\) | −13.5864 | + | 13.5864i | −0.650669 | + | 0.650669i | ||||
\(437\) | 5.62918 | − | 1.50833i | 0.269280 | − | 0.0721534i | ||||
\(438\) | 8.02383 | + | 13.8977i | 0.383393 | + | 0.664057i | ||||
\(439\) | −20.0524 | + | 34.7317i | −0.957048 | + | 1.65766i | −0.227437 | + | 0.973793i | \(0.573034\pi\) |
−0.729611 | + | 0.683862i | \(0.760299\pi\) | |||||||
\(440\) | 2.62421 | − | 9.79368i | 0.125104 | − | 0.466895i | ||||
\(441\) | −4.21694 | + | 5.58726i | −0.200807 | + | 0.266060i | ||||
\(442\) | 1.83179 | + | 4.10320i | 0.0871294 | + | 0.195169i | ||||
\(443\) | −11.1323 | − | 19.2817i | −0.528911 | − | 0.916100i | −0.999432 | − | 0.0337113i | \(-0.989267\pi\) |
0.470521 | − | 0.882389i | \(-0.344066\pi\) | |||||||
\(444\) | 2.73475 | − | 2.73475i | 0.129785 | − | 0.129785i | ||||
\(445\) | 21.7655 | 1.03178 | ||||||||
\(446\) | 25.0288 | 1.18515 | ||||||||
\(447\) | −8.71829 | + | 8.71829i | −0.412361 | + | 0.412361i | ||||
\(448\) | 1.17963 | + | 2.36822i | 0.0557324 | + | 0.111888i | ||||
\(449\) | −3.51496 | − | 13.1180i | −0.165881 | − | 0.619077i | −0.997926 | − | 0.0643689i | \(-0.979497\pi\) |
0.832045 | − | 0.554708i | \(-0.187170\pi\) | |||||||
\(450\) | −3.42791 | − | 0.918507i | −0.161593 | − | 0.0432988i | ||||
\(451\) | −6.84011 | + | 3.94914i | −0.322088 | + | 0.185958i | ||||
\(452\) | 11.1407i | 0.524014i | ||||||||
\(453\) | 7.18931 | − | 1.92637i | 0.337783 | − | 0.0905087i | ||||
\(454\) | −2.48492 | −0.116623 | ||||||||
\(455\) | −27.5120 | − | 4.58630i | −1.28978 | − | 0.215009i | ||||
\(456\) | −4.37915 | −0.205072 | ||||||||
\(457\) | 20.0893 | − | 5.38292i | 0.939739 | − | 0.251802i | 0.243736 | − | 0.969842i | \(-0.421627\pi\) |
0.696002 | + | 0.718039i | \(0.254960\pi\) | |||||||
\(458\) | − | 6.25307i | − | 0.292187i | ||||||
\(459\) | 1.07931 | − | 0.623139i | 0.0503778 | − | 0.0290856i | ||||
\(460\) | −3.75845 | − | 1.00707i | −0.175239 | − | 0.0469550i | ||||
\(461\) | 8.58810 | + | 32.0512i | 0.399988 | + | 1.49277i | 0.813116 | + | 0.582102i | \(0.197769\pi\) |
−0.413128 | + | 0.910673i | \(0.635564\pi\) | |||||||
\(462\) | −9.15749 | − | 0.563576i | −0.426045 | − | 0.0262199i | ||||
\(463\) | −9.28412 | + | 9.28412i | −0.431470 | + | 0.431470i | −0.889128 | − | 0.457658i | \(-0.848688\pi\) |
0.457658 | + | 0.889128i | \(0.348688\pi\) | |||||||
\(464\) | 1.79272 | 0.0832248 | ||||||||
\(465\) | −5.01007 | −0.232336 | ||||||||
\(466\) | −0.632948 | + | 0.632948i | −0.0293207 | + | 0.0293207i | ||||
\(467\) | 3.85091 | + | 6.66997i | 0.178199 | + | 0.308650i | 0.941264 | − | 0.337672i | \(-0.109640\pi\) |
−0.763065 | + | 0.646322i | \(0.776306\pi\) | |||||||
\(468\) | −3.56059 | + | 0.567601i | −0.164589 | + | 0.0262373i | ||||
\(469\) | 8.71319 | + | 2.91906i | 0.402338 | + | 0.134790i | ||||
\(470\) | 8.72586 | − | 32.5653i | 0.402494 | − | 1.50213i | ||||
\(471\) | −4.96747 | + | 8.60391i | −0.228889 | + | 0.396447i | ||||
\(472\) | 4.97531 | + | 8.61749i | 0.229007 | + | 0.396652i | ||||
\(473\) | −17.6386 | + | 4.72624i | −0.811022 | + | 0.217313i | ||||
\(474\) | 5.42765 | − | 5.42765i | 0.249300 | − | 0.249300i | ||||
\(475\) | −15.0114 | + | 4.02228i | −0.688768 | + | 0.184555i | ||||
\(476\) | −3.29111 | − | 0.202544i | −0.150848 | − | 0.00928358i | ||||
\(477\) | 2.96970 | − | 5.14367i | 0.135973 | − | 0.235513i | ||||
\(478\) | 15.7475 | + | 9.09185i | 0.720276 | + | 0.415852i | ||||
\(479\) | −18.3398 | − | 18.3398i | −0.837965 | − | 0.837965i | 0.150626 | − | 0.988591i | \(-0.451871\pi\) |
−0.988591 | + | 0.150626i | \(0.951871\pi\) | |||||||
\(480\) | 2.53212 | + | 1.46192i | 0.115575 | + | 0.0667272i | ||||
\(481\) | 1.44370 | − | 13.8696i | 0.0658272 | − | 0.632399i | ||||
\(482\) | 27.5432i | 1.25456i | ||||||||
\(483\) | −0.216280 | + | 3.51430i | −0.00984106 | + | 0.159906i | ||||
\(484\) | −0.512666 | − | 0.887964i | −0.0233030 | − | 0.0403620i | ||||
\(485\) | − | 31.6261i | − | 1.43607i | ||||||
\(486\) | 0.258819 | + | 0.965926i | 0.0117403 | + | 0.0438153i | ||||
\(487\) | 9.96607 | − | 37.1939i | 0.451606 | − | 1.68542i | −0.246273 | − | 0.969200i | \(-0.579206\pi\) |
0.697879 | − | 0.716215i | \(-0.254127\pi\) | |||||||
\(488\) | −5.49384 | − | 5.49384i | −0.248695 | − | 0.248695i | ||||
\(489\) | 2.74291 | + | 2.74291i | 0.124039 | + | 0.124039i | ||||
\(490\) | 12.3296 | − | 16.3362i | 0.556997 | − | 0.737996i | ||||
\(491\) | 15.5396 | − | 8.97180i | 0.701293 | − | 0.404891i | −0.106536 | − | 0.994309i | \(-0.533976\pi\) |
0.807829 | + | 0.589417i | \(0.200643\pi\) | |||||||
\(492\) | −0.589495 | − | 2.20002i | −0.0265765 | − | 0.0991848i | ||||
\(493\) | −1.11711 | + | 1.93489i | −0.0503122 | + | 0.0871432i | ||||
\(494\) | −12.2606 | + | 9.94879i | −0.551630 | + | 0.447617i | ||||
\(495\) | −8.78077 | + | 5.06958i | −0.394666 | + | 0.227861i | ||||
\(496\) | 1.65514 | + | 0.443492i | 0.0743178 | + | 0.0199134i | ||||
\(497\) | 18.8890 | − | 16.6989i | 0.847289 | − | 0.749046i | ||||
\(498\) | −2.83729 | − | 1.63811i | −0.127142 | − | 0.0734055i | ||||
\(499\) | −4.90053 | + | 18.2890i | −0.219378 | + | 0.818729i | 0.765202 | + | 0.643791i | \(0.222639\pi\) |
−0.984579 | + | 0.174938i | \(0.944027\pi\) | |||||||
\(500\) | −4.09839 | − | 1.09816i | −0.183285 | − | 0.0491112i | ||||
\(501\) | −15.6302 | − | 4.18809i | −0.698305 | − | 0.187110i | ||||
\(502\) | 1.07787 | − | 4.02266i | 0.0481077 | − | 0.179540i | ||||
\(503\) | 14.9482 | + | 8.63035i | 0.666507 | + | 0.384808i | 0.794752 | − | 0.606934i | \(-0.207601\pi\) |
−0.128245 | + | 0.991743i | \(0.540934\pi\) | |||||||
\(504\) | 0.840459 | − | 2.50871i | 0.0374370 | − | 0.111747i | ||||
\(505\) | −18.5540 | − | 4.97153i | −0.825642 | − | 0.221230i | ||||
\(506\) | −3.99660 | + | 2.30744i | −0.177670 | + | 0.102578i | ||||
\(507\) | −8.67932 | + | 9.67830i | −0.385462 | + | 0.429828i | ||||
\(508\) | −2.09082 | + | 3.62141i | −0.0927653 | + | 0.160674i | ||||
\(509\) | 7.04360 | + | 26.2871i | 0.312202 | + | 1.16515i | 0.926566 | + | 0.376131i | \(0.122746\pi\) |
−0.614364 | + | 0.789023i | \(0.710587\pi\) | |||||||
\(510\) | −3.15572 | + | 1.82196i | −0.139738 | + | 0.0806777i | ||||
\(511\) | −31.8099 | + | 28.1216i | −1.40719 | + | 1.24402i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 3.09653 | + | 3.09653i | 0.136715 | + | 0.136715i | ||||
\(514\) | 5.05477 | − | 18.8647i | 0.222956 | − | 0.832085i | ||||
\(515\) | −12.6640 | − | 47.2627i | −0.558043 | − | 2.08265i | ||||
\(516\) | − | 5.26588i | − | 0.231818i | ||||||
\(517\) | −19.9929 | − | 34.6288i | −0.879289 | − | 1.52297i | ||||
\(518\) | 8.53058 | + | 5.65092i | 0.374812 | + | 0.248287i | ||||
\(519\) | 5.36783i | 0.235622i | ||||||||
\(520\) | 10.4106 | − | 1.65957i | 0.456535 | − | 0.0727771i | ||||
\(521\) | 6.52885 | + | 3.76943i | 0.286034 | + | 0.165142i | 0.636152 | − | 0.771564i | \(-0.280525\pi\) |
−0.350118 | + | 0.936706i | \(0.613859\pi\) | |||||||
\(522\) | −1.26764 | − | 1.26764i | −0.0554832 | − | 0.0554832i | ||||
\(523\) | 37.4317 | + | 21.6112i | 1.63678 | + | 0.944993i | 0.981933 | + | 0.189227i | \(0.0605981\pi\) |
0.654842 | + | 0.755766i | \(0.272735\pi\) | |||||||
\(524\) | −9.62242 | + | 16.6665i | −0.420357 | + | 0.728080i | ||||
\(525\) | 0.576754 | − | 9.37161i | 0.0251716 | − | 0.409011i | ||||
\(526\) | −8.13539 | + | 2.17987i | −0.354720 | + | 0.0950469i | ||||
\(527\) | −1.51004 | + | 1.51004i | −0.0657786 | + | 0.0657786i | ||||
\(528\) | 3.34960 | − | 0.897521i | 0.145772 | − | 0.0390596i | ||||
\(529\) | −10.6145 | − | 18.3848i | −0.461500 | − | 0.799341i | ||||
\(530\) | −8.68293 | + | 15.0393i | −0.377162 | + | 0.653265i | ||||
\(531\) | 2.57541 | − | 9.61156i | 0.111763 | − | 0.417106i | ||||
\(532\) | −2.30561 | − | 11.3544i | −0.0999607 | − | 0.492277i | ||||
\(533\) | −6.64858 | − | 4.82030i | −0.287982 | − | 0.208791i | ||||
\(534\) | 3.72207 | + | 6.44682i | 0.161070 | + | 0.278981i | ||||
\(535\) | 41.6947 | − | 41.6947i | 1.80262 | − | 1.80262i | ||||
\(536\) | −3.47317 | −0.150018 | ||||||||
\(537\) | −15.1482 | −0.653694 | ||||||||
\(538\) | 5.70521 | − | 5.70521i | 0.245969 | − | 0.245969i | ||||
\(539\) | −3.36013 | − | 24.0406i | −0.144731 | − | 1.03550i | ||||
\(540\) | −0.756745 | − | 2.82421i | −0.0325651 | − | 0.121535i | ||||
\(541\) | −14.9723 | − | 4.01181i | −0.643708 | − | 0.172481i | −0.0778257 | − | 0.996967i | \(-0.524798\pi\) |
−0.565883 | + | 0.824486i | \(0.691464\pi\) | |||||||
\(542\) | −11.9776 | + | 6.91528i | −0.514482 | + | 0.297037i | ||||
\(543\) | 8.93149i | 0.383287i | ||||||||
\(544\) | 1.20381 | − | 0.322560i | 0.0516130 | − | 0.0138297i | ||||
\(545\) | −56.1787 | −2.40643 | ||||||||
\(546\) | −3.34634 | − | 8.93320i | −0.143210 | − | 0.382306i | ||||
\(547\) | 12.0848 | 0.516707 | 0.258353 | − | 0.966050i | \(-0.416820\pi\) | ||||
0.258353 | + | 0.966050i | \(0.416820\pi\) | |||||||
\(548\) | −15.7554 | + | 4.22164i | −0.673035 | + | 0.180339i | ||||
\(549\) | 7.76947i | 0.331593i | ||||||||
\(550\) | 10.6577 | − | 6.15325i | 0.454448 | − | 0.262376i | ||||
\(551\) | −7.58307 | − | 2.03188i | −0.323050 | − | 0.0865609i | ||||
\(552\) | −0.344435 | − | 1.28545i | −0.0146601 | − | 0.0547124i | ||||
\(553\) | 16.9307 | + | 11.2154i | 0.719965 | + | 0.476926i | ||||
\(554\) | 4.67101 | − | 4.67101i | 0.198452 | − | 0.198452i | ||||
\(555\) | 11.3080 | 0.479998 | ||||||||
\(556\) | 13.9241 | 0.590514 | ||||||||
\(557\) | 16.3653 | − | 16.3653i | 0.693420 | − | 0.693420i | −0.269563 | − | 0.962983i | \(-0.586879\pi\) |
0.962983 | + | 0.269563i | \(0.0868791\pi\) | |||||||
\(558\) | −0.856761 | − | 1.48395i | −0.0362696 | − | 0.0628208i | ||||
\(559\) | −11.9633 | − | 14.7432i | −0.505994 | − | 0.623572i | ||||
\(560\) | −2.45737 | + | 7.33507i | −0.103843 | + | 0.309963i | ||||
\(561\) | −1.11856 | + | 4.17453i | −0.0472257 | + | 0.176249i | ||||
\(562\) | 5.57067 | − | 9.64869i | 0.234985 | − | 0.407005i | ||||
\(563\) | 4.91553 | + | 8.51395i | 0.207165 | + | 0.358820i | 0.950820 | − | 0.309743i | \(-0.100243\pi\) |
−0.743655 | + | 0.668563i | \(0.766910\pi\) | |||||||
\(564\) | 11.1379 | − | 2.98438i | 0.468989 | − | 0.125665i | ||||
\(565\) | −23.0330 | + | 23.0330i | −0.969005 | + | 0.969005i | ||||
\(566\) | 18.5119 | − | 4.96026i | 0.778114 | − | 0.208495i | ||||
\(567\) | −2.36822 | + | 1.17963i | −0.0994559 | + | 0.0495399i | ||||
\(568\) | −4.76463 | + | 8.25258i | −0.199919 | + | 0.346271i | ||||
\(569\) | −15.2959 | − | 8.83112i | −0.641239 | − | 0.370220i | 0.143852 | − | 0.989599i | \(-0.454051\pi\) |
−0.785092 | + | 0.619379i | \(0.787384\pi\) | |||||||
\(570\) | −9.05375 | − | 9.05375i | −0.379220 | − | 0.379220i | ||||
\(571\) | 23.6251 | + | 13.6399i | 0.988678 | + | 0.570814i | 0.904879 | − | 0.425669i | \(-0.139961\pi\) |
0.0837994 | + | 0.996483i | \(0.473295\pi\) | |||||||
\(572\) | 7.33904 | − | 10.1226i | 0.306861 | − | 0.423249i | ||||
\(573\) | 19.6005i | 0.818824i | ||||||||
\(574\) | 5.39394 | − | 2.68677i | 0.225139 | − | 0.112144i | ||||
\(575\) | −2.36139 | − | 4.09005i | −0.0984767 | − | 0.170567i | ||||
\(576\) | 1.00000i | 0.0416667i | ||||||||
\(577\) | 1.03370 | + | 3.85783i | 0.0430335 | + | 0.160603i | 0.984099 | − | 0.177621i | \(-0.0568402\pi\) |
−0.941065 | + | 0.338225i | \(0.890174\pi\) | |||||||
\(578\) | 3.99792 | − | 14.9205i | 0.166292 | − | 0.620609i | ||||
\(579\) | 6.19651 | + | 6.19651i | 0.257518 | + | 0.257518i | ||||
\(580\) | 3.70638 | + | 3.70638i | 0.153899 | + | 0.153899i | ||||
\(581\) | 2.75353 | − | 8.21909i | 0.114236 | − | 0.340985i | ||||
\(582\) | 9.36748 | − | 5.40832i | 0.388294 | − | 0.224182i | ||||
\(583\) | 5.33074 | + | 19.8946i | 0.220777 | + | 0.823950i | ||||
\(584\) | 8.02383 | − | 13.8977i | 0.332028 | − | 0.575090i | ||||
\(585\) | −8.53491 | − | 6.18791i | −0.352875 | − | 0.255839i | ||||
\(586\) | −12.0597 | + | 6.96267i | −0.498182 | + | 0.287625i | ||||
\(587\) | −36.4120 | − | 9.75655i | −1.50288 | − | 0.402696i | −0.588818 | − | 0.808266i | \(-0.700407\pi\) |
−0.914064 | + | 0.405570i | \(0.867073\pi\) | |||||||
\(588\) | 6.94718 | + | 0.858346i | 0.286497 | + | 0.0353976i | ||||
\(589\) | −6.49846 | − | 3.75189i | −0.267764 | − | 0.154594i | ||||
\(590\) | −7.53008 | + | 28.1027i | −0.310009 | + | 1.15697i | ||||
\(591\) | −10.5384 | − | 2.82376i | −0.433493 | − | 0.116154i | ||||
\(592\) | −3.73573 | − | 1.00099i | −0.153538 | − | 0.0411403i | ||||
\(593\) | −5.39659 | + | 20.1404i | −0.221611 | + | 0.827065i | 0.762122 | + | 0.647433i | \(0.224157\pi\) |
−0.983734 | + | 0.179632i | \(0.942509\pi\) | |||||||
\(594\) | −3.00316 | − | 1.73388i | −0.123221 | − | 0.0711419i | ||||
\(595\) | −6.38552 | − | 7.22302i | −0.261781 | − | 0.296115i | ||||
\(596\) | 11.9094 | + | 3.19112i | 0.487829 | + | 0.130713i | ||||
\(597\) | −13.9446 | + | 8.05090i | −0.570713 | + | 0.329502i | ||||
\(598\) | −3.88469 | − | 2.81645i | −0.158857 | − | 0.115173i | ||||
\(599\) | −12.3956 | + | 21.4699i | −0.506472 | + | 0.877235i | 0.493500 | + | 0.869746i | \(0.335717\pi\) |
−0.999972 | + | 0.00748950i | \(0.997616\pi\) | |||||||
\(600\) | 0.918507 | + | 3.42791i | 0.0374979 | + | 0.139944i | ||||
\(601\) | 2.04852 | − | 1.18271i | 0.0835608 | − | 0.0482438i | −0.457637 | − | 0.889139i | \(-0.651304\pi\) |
0.541198 | + | 0.840895i | \(0.317971\pi\) | |||||||
\(602\) | 13.6536 | − | 2.77247i | 0.556478 | − | 0.112997i | ||||
\(603\) | 2.45591 | + | 2.45591i | 0.100012 | + | 0.100012i | ||||
\(604\) | −5.26294 | − | 5.26294i | −0.214146 | − | 0.214146i | ||||
\(605\) | 0.775915 | − | 2.89576i | 0.0315454 | − | 0.117729i | ||||
\(606\) | −1.70034 | − | 6.34576i | −0.0690717 | − | 0.257779i | ||||
\(607\) | − | 39.5041i | − | 1.60342i | −0.597712 | − | 0.801711i | \(-0.703923\pi\) | ||
0.597712 | − | 0.801711i | \(-0.296077\pi\) | |||||||
\(608\) | 2.18957 | + | 3.79246i | 0.0887990 | + | 0.153804i | ||||
\(609\) | 2.61938 | − | 3.95420i | 0.106143 | − | 0.160232i | ||||
\(610\) | − | 22.7167i | − | 0.919771i | ||||||
\(611\) | 24.4033 | − | 33.6592i | 0.987253 | − | 1.36170i | ||||
\(612\) | −1.07931 | − | 0.623139i | −0.0436285 | − | 0.0251889i | ||||
\(613\) | −24.8496 | − | 24.8496i | −1.00367 | − | 1.00367i | −0.999993 | − | 0.00367329i | \(-0.998831\pi\) |
−0.00367329 | − | 0.999993i | \(-0.501169\pi\) | |||||||
\(614\) | 1.41733 | + | 0.818294i | 0.0571987 | + | 0.0330237i | ||||
\(615\) | 3.32972 | − | 5.76724i | 0.134267 | − | 0.232557i | ||||
\(616\) | 4.09068 | + | 8.21241i | 0.164818 | + | 0.330887i | ||||
\(617\) | −13.7662 | + | 3.68865i | −0.554207 | + | 0.148499i | −0.525044 | − | 0.851075i | \(-0.675951\pi\) |
−0.0291634 | + | 0.999575i | \(0.509284\pi\) | |||||||
\(618\) | 11.8333 | − | 11.8333i | 0.476006 | − | 0.476006i | ||||
\(619\) | −1.20899 | + | 0.323948i | −0.0485934 | + | 0.0130206i | −0.283034 | − | 0.959110i | \(-0.591341\pi\) |
0.234440 | + | 0.972130i | \(0.424674\pi\) | |||||||
\(620\) | 2.50503 | + | 4.33884i | 0.100605 | + | 0.174252i | ||||
\(621\) | −0.665398 | + | 1.15250i | −0.0267015 | + | 0.0462483i | ||||
\(622\) | −0.285748 | + | 1.06643i | −0.0114575 | + | 0.0427598i | ||||
\(623\) | −14.7559 | + | 13.0449i | −0.591182 | + | 0.522635i | ||||
\(624\) | 2.27185 | + | 2.79976i | 0.0909469 | + | 0.112080i | ||||
\(625\) | −15.0750 | − | 26.1106i | −0.602999 | − | 1.04442i | ||||
\(626\) | 9.75817 | − | 9.75817i | 0.390015 | − | 0.390015i | ||||
\(627\) | −15.1858 | −0.606463 | ||||||||
\(628\) | 9.93494 | 0.396447 | ||||||||
\(629\) | 3.40825 | − | 3.40825i | 0.135896 | − | 0.135896i | ||||
\(630\) | 6.92430 | − | 3.44905i | 0.275871 | − | 0.137414i | ||||
\(631\) | −5.63407 | − | 21.0266i | −0.224289 | − | 0.837058i | −0.982688 | − | 0.185267i | \(-0.940685\pi\) |
0.758399 | − | 0.651790i | \(-0.225982\pi\) | |||||||
\(632\) | −7.41431 | − | 1.98666i | −0.294926 | − | 0.0790251i | ||||
\(633\) | 3.52990 | − | 2.03799i | 0.140301 | − | 0.0810028i | ||||
\(634\) | 21.5138i | 0.854421i | ||||||||
\(635\) | −11.8099 | + | 3.16444i | −0.468660 | + | 0.125577i | ||||
\(636\) | −5.93940 | −0.235513 | ||||||||
\(637\) | 21.4005 | − | 13.3798i | 0.847918 | − | 0.530127i | ||||
\(638\) | 6.21670 | 0.246122 | ||||||||
\(639\) | 9.20456 | − | 2.46635i | 0.364127 | − | 0.0975675i | ||||
\(640\) | − | 2.92384i | − | 0.115575i | ||||||
\(641\) | −36.8798 | + | 21.2926i | −1.45666 | + | 0.841006i | −0.998845 | − | 0.0480396i | \(-0.984703\pi\) |
−0.457819 | + | 0.889045i | \(0.651369\pi\) | |||||||
\(642\) | 19.4799 | + | 5.21961i | 0.768809 | + | 0.206002i | ||||
\(643\) | −8.24101 | − | 30.7559i | −0.324994 | − | 1.21289i | −0.914318 | − | 0.404996i | \(-0.867273\pi\) |
0.589325 | − | 0.807896i | \(-0.299394\pi\) | |||||||
\(644\) | 3.15162 | − | 1.56985i | 0.124191 | − | 0.0618607i | ||||
\(645\) | 10.8870 | − | 10.8870i | 0.428677 | − | 0.428677i | ||||
\(646\) | −5.45764 | −0.214728 | ||||||||
\(647\) | 2.97164 | 0.116827 | 0.0584136 | − | 0.998292i | \(-0.481396\pi\) | ||||
0.0584136 | + | 0.998292i | \(0.481396\pi\) | |||||||
\(648\) | 0.707107 | − | 0.707107i | 0.0277778 | − | 0.0277778i | ||||
\(649\) | 17.2532 | + | 29.8833i | 0.677246 | + | 1.17302i | ||||
\(650\) | 10.3593 | + | 7.51064i | 0.406326 | + | 0.294592i | ||||
\(651\) | 3.39657 | − | 3.00274i | 0.133122 | − | 0.117687i | ||||
\(652\) | 1.00398 | − | 3.74689i | 0.0393187 | − | 0.146739i | ||||
\(653\) | −22.7558 | + | 39.4142i | −0.890504 | + | 1.54240i | −0.0512317 | + | 0.998687i | \(0.516315\pi\) |
−0.839272 | + | 0.543711i | \(0.817019\pi\) | |||||||
\(654\) | −9.60701 | − | 16.6398i | −0.375664 | − | 0.650669i | ||||
\(655\) | −54.3515 | + | 14.5634i | −2.12369 | + | 0.569041i | ||||
\(656\) | −1.61053 | + | 1.61053i | −0.0628806 | + | 0.0628806i | ||||
\(657\) | −15.5008 | + | 4.15344i | −0.604746 | + | 0.162041i | ||||
\(658\) | 13.6021 | + | 27.3074i | 0.530264 | + | 1.06455i | ||||
\(659\) | −4.60455 | + | 7.97531i | −0.179368 | + | 0.310674i | −0.941664 | − | 0.336554i | \(-0.890739\pi\) |
0.762296 | + | 0.647228i | \(0.224072\pi\) | |||||||
\(660\) | 8.78077 | + | 5.06958i | 0.341791 | + | 0.197333i | ||||
\(661\) | −19.7310 | − | 19.7310i | −0.767446 | − | 0.767446i | 0.210211 | − | 0.977656i | \(-0.432585\pi\) |
−0.977656 | + | 0.210211i | \(0.932585\pi\) | |||||||
\(662\) | −23.9431 | − | 13.8236i | −0.930575 | − | 0.537268i | ||||
\(663\) | −4.43749 | + | 0.707388i | −0.172338 | + | 0.0274727i | ||||
\(664\) | 3.27622i | 0.127142i | ||||||||
\(665\) | 18.7081 | − | 28.2417i | 0.725470 | − | 1.09516i | ||||
\(666\) | 1.93376 | + | 3.34937i | 0.0749316 | + | 0.129785i | ||||
\(667\) | − | 2.38574i | − | 0.0923762i | ||||||
\(668\) | 4.18809 | + | 15.6302i | 0.162042 | + | 0.604750i | ||||
\(669\) | −6.47794 | + | 24.1760i | −0.250452 | + | 0.934698i | ||||
\(670\) | −7.18067 | − | 7.18067i | −0.277414 | − | 0.277414i | ||||
\(671\) | −19.0513 | − | 19.0513i | −0.735467 | − | 0.735467i | ||||
\(672\) | −2.59284 | + | 0.526496i | −0.100021 | + | 0.0203100i | ||||
\(673\) | −32.1731 | + | 18.5751i | −1.24018 | + | 0.716018i | −0.969131 | − | 0.246547i | \(-0.920704\pi\) |
−0.271049 | + | 0.962565i | \(0.587371\pi\) | |||||||
\(674\) | 0.239692 | + | 0.894541i | 0.00923257 | + | 0.0344564i | ||||
\(675\) | 1.77442 | − | 3.07338i | 0.0682974 | − | 0.118295i | ||||
\(676\) | 12.7213 | + | 2.67736i | 0.489281 | + | 0.102976i | ||||
\(677\) | 3.29099 | − | 1.90006i | 0.126483 | − | 0.0730251i | −0.435423 | − | 0.900226i | \(-0.643401\pi\) |
0.561907 | + | 0.827201i | \(0.310068\pi\) | |||||||
\(678\) | −10.7611 | − | 2.88342i | −0.413277 | − | 0.110737i | ||||
\(679\) | 18.9548 | + | 21.4409i | 0.727419 | + | 0.822826i | ||||
\(680\) | 3.15572 | + | 1.82196i | 0.121017 | + | 0.0698689i | ||||
\(681\) | 0.643146 | − | 2.40025i | 0.0246454 | − | 0.0919779i | ||||
\(682\) | 5.73961 | + | 1.53792i | 0.219781 | + | 0.0588901i | ||||
\(683\) | 44.7218 | + | 11.9832i | 1.71123 | + | 0.458524i | 0.975726 | − | 0.218993i | \(-0.0702773\pi\) |
0.735507 | + | 0.677517i | \(0.236944\pi\) | |||||||
\(684\) | 1.13341 | − | 4.22993i | 0.0433369 | − | 0.161736i | ||||
\(685\) | −41.3018 | − | 23.8456i | −1.57806 | − | 0.911093i | ||||
\(686\) | 1.43211 | + | 18.4648i | 0.0546783 | + | 0.704990i | ||||
\(687\) | 6.04000 | + | 1.61841i | 0.230440 | + | 0.0617463i | ||||
\(688\) | −4.56039 | + | 2.63294i | −0.173863 | + | 0.100380i | ||||
\(689\) | −16.6289 | + | 13.4935i | −0.633512 | + | 0.514060i | ||||
\(690\) | 1.94552 | − | 3.36973i | 0.0740645 | − | 0.128284i | ||||
\(691\) | 5.63846 | + | 21.0430i | 0.214497 | + | 0.800515i | 0.986343 | + | 0.164705i | \(0.0526671\pi\) |
−0.771846 | + | 0.635810i | \(0.780666\pi\) | |||||||
\(692\) | 4.64868 | − | 2.68392i | 0.176716 | − | 0.102027i | ||||
\(693\) | 2.91451 | − | 8.69960i | 0.110713 | − | 0.330470i | ||||
\(694\) | −0.995897 | − | 0.995897i | −0.0378037 | − | 0.0378037i | ||||
\(695\) | 28.7877 | + | 28.7877i | 1.09198 | + | 1.09198i | ||||
\(696\) | −0.463989 | + | 1.73163i | −0.0175875 | + | 0.0656373i | ||||
\(697\) | −0.734674 | − | 2.74184i | −0.0278278 | − | 0.103855i | ||||
\(698\) | 31.0151i | 1.17394i | ||||||||
\(699\) | −0.447562 | − | 0.775199i | −0.0169283 | − | 0.0293207i | ||||
\(700\) | −8.40443 | + | 4.18632i | −0.317658 | + | 0.158228i | ||||
\(701\) | 25.4454i | 0.961061i | 0.876978 | + | 0.480531i | \(0.159556\pi\) | ||||
−0.876978 | + | 0.480531i | \(0.840444\pi\) | |||||||
\(702\) | 0.373290 | − | 3.58618i | 0.0140889 | − | 0.135351i | ||||
\(703\) | 14.6674 | + | 8.46821i | 0.553191 | + | 0.319385i | ||||
\(704\) | −2.45207 | − | 2.45207i | −0.0924160 | − | 0.0924160i | ||||
\(705\) | 29.1973 | + | 16.8571i | 1.09963 | + | 0.634874i | ||||
\(706\) | −4.81127 | + | 8.33336i | −0.181074 | + | 0.313630i | ||||
\(707\) | 15.5583 | − | 7.74973i | 0.585130 | − | 0.291459i | ||||
\(708\) | −9.61156 | + | 2.57541i | −0.361224 | + | 0.0967898i | ||||
\(709\) | 20.9842 | − | 20.9842i | 0.788077 | − | 0.788077i | −0.193102 | − | 0.981179i | \(-0.561855\pi\) |
0.981179 | + | 0.193102i | \(0.0618548\pi\) | |||||||
\(710\) | −26.9127 | + | 7.21122i | −1.01001 | + | 0.270632i | ||||
\(711\) | 3.83793 | + | 6.64749i | 0.143934 | + | 0.249300i | ||||
\(712\) | 3.72207 | − | 6.44682i | 0.139491 | − | 0.241605i | ||||
\(713\) | 0.590197 | − | 2.20265i | 0.0221031 | − | 0.0824898i | ||||
\(714\) | 1.04745 | − | 3.12655i | 0.0391997 | − | 0.117008i | ||||
\(715\) | 36.1014 | − | 5.75499i | 1.35012 | − | 0.215225i | ||||
\(716\) | 7.57411 | + | 13.1187i | 0.283058 | + | 0.490271i | ||||
\(717\) | −12.8578 | + | 12.8578i | −0.480184 | + | 0.480184i | ||||
\(718\) | −7.27329 | −0.271437 | ||||||||
\(719\) | 13.6951 | 0.510740 | 0.255370 | − | 0.966843i | \(-0.417803\pi\) | ||||
0.255370 | + | 0.966843i | \(0.417803\pi\) | |||||||
\(720\) | −2.06747 | + | 2.06747i | −0.0770499 | + | 0.0770499i | ||||
\(721\) | 36.9121 | + | 24.4517i | 1.37468 | + | 0.910627i | ||||
\(722\) | −0.0457992 | − | 0.170925i | −0.00170447 | − | 0.00636117i | ||||
\(723\) | −26.6047 | − | 7.12871i | −0.989440 | − | 0.265120i | ||||
\(724\) | 7.73490 | − | 4.46575i | 0.287465 | − | 0.165968i | ||||
\(725\) | 6.36206i | 0.236281i | ||||||||
\(726\) | 0.990395 | − | 0.265375i | 0.0367570 | − | 0.00984901i | ||||
\(727\) | 36.5760 | 1.35653 | 0.678265 | − | 0.734817i | \(-0.262732\pi\) | ||||
0.678265 | + | 0.734817i | \(0.262732\pi\) | |||||||
\(728\) | −6.06321 | + | 7.36461i | −0.224717 | + | 0.272951i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 45.3220 | − | 12.1440i | 1.67744 | − | 0.449469i | ||||
\(731\) | − | 6.56275i | − | 0.242732i | ||||||
\(732\) | 6.72855 | − | 3.88473i | 0.248695 | − | 0.143584i | ||||
\(733\) | −44.1023 | − | 11.8172i | −1.62895 | − | 0.436477i | −0.675340 | − | 0.737507i | \(-0.736003\pi\) |
−0.953615 | + | 0.301029i | \(0.902670\pi\) | |||||||
\(734\) | 9.00525 | + | 33.6081i | 0.332390 | + | 1.24050i | ||||
\(735\) | 12.5885 | + | 16.1377i | 0.464332 | + | 0.595246i | ||||
\(736\) | −0.941014 | + | 0.941014i | −0.0346862 | + | 0.0346862i | ||||
\(737\) | −12.0441 | −0.443651 | ||||||||
\(738\) | 2.27763 | 0.0838408 | ||||||||
\(739\) | 22.9806 | − | 22.9806i | 0.845356 | − | 0.845356i | −0.144193 | − | 0.989550i | \(-0.546059\pi\) |
0.989550 | + | 0.144193i | \(0.0460587\pi\) | |||||||
\(740\) | −5.65400 | − | 9.79301i | −0.207845 | − | 0.359998i | ||||
\(741\) | −6.43652 | − | 14.4178i | −0.236451 | − | 0.529649i | ||||
\(742\) | −3.12707 | − | 15.3999i | −0.114799 | − | 0.565348i | ||||
\(743\) | −0.893620 | + | 3.33504i | −0.0327837 | + | 0.122351i | −0.980379 | − | 0.197124i | \(-0.936840\pi\) |
0.947595 | + | 0.319475i | \(0.103506\pi\) | |||||||
\(744\) | −0.856761 | + | 1.48395i | −0.0314104 | + | 0.0544044i | ||||
\(745\) | 18.0248 | + | 31.2198i | 0.660377 | + | 1.14381i | ||||
\(746\) | 12.7670 | − | 3.42091i | 0.467434 | − | 0.125249i | ||||
\(747\) | 2.31664 | − | 2.31664i | 0.0847613 | − | 0.0847613i | ||||
\(748\) | 4.17453 | − | 1.11856i | 0.152636 | − | 0.0408986i | ||||
\(749\) | −3.27753 | + | 53.2562i | −0.119758 | + | 1.94594i | ||||
\(750\) | 2.12148 | − | 3.67451i | 0.0774656 | − | 0.134174i | ||||
\(751\) | 22.8976 | + | 13.2200i | 0.835546 | + | 0.482403i | 0.855748 | − | 0.517393i | \(-0.173097\pi\) |
−0.0202015 | + | 0.999796i | \(0.506431\pi\) | |||||||
\(752\) | −8.15348 | − | 8.15348i | −0.297327 | − | 0.297327i | ||||
\(753\) | 3.60662 | + | 2.08228i | 0.131433 | + | 0.0758826i | ||||
\(754\) | 2.63495 | + | 5.90228i | 0.0959593 | + | 0.214948i | ||||
\(755\) | − | 21.7619i | − | 0.791997i | ||||||
\(756\) | 2.20570 | + | 1.46112i | 0.0802206 | + | 0.0531405i | ||||
\(757\) | −11.1187 | − | 19.2581i | −0.404116 | − | 0.699949i | 0.590103 | − | 0.807328i | \(-0.299087\pi\) |
−0.994218 | + | 0.107380i | \(0.965754\pi\) | |||||||
\(758\) | 9.97354i | 0.362255i | ||||||||
\(759\) | −1.19442 | − | 4.45763i | −0.0433546 | − | 0.161802i | ||||
\(760\) | −3.31390 | + | 12.3676i | −0.120208 | + | 0.448622i | ||||
\(761\) | 33.5353 | + | 33.5353i | 1.21565 | + | 1.21565i | 0.969139 | + | 0.246513i | \(0.0792849\pi\) |
0.246513 | + | 0.969139i | \(0.420715\pi\) | |||||||
\(762\) | −2.95687 | − | 2.95687i | −0.107116 | − | 0.107116i | ||||
\(763\) | 38.0863 | − | 33.6702i | 1.37882 | − | 1.21894i | ||||
\(764\) | 16.9746 | − | 9.80027i | 0.614118 | − | 0.354561i | ||||
\(765\) | −0.943115 | − | 3.51975i | −0.0340984 | − | 0.127257i | ||||
\(766\) | −15.2417 | + | 26.3993i | −0.550704 | + | 0.953847i | ||||
\(767\) | −21.0591 | + | 29.0466i | −0.760402 | + | 1.04881i | ||||
\(768\) | 0.866025 | − | 0.500000i | 0.0312500 | − | 0.0180422i | ||||
\(769\) | 11.4954 | + | 3.08019i | 0.414536 | + | 0.111075i | 0.460058 | − | 0.887889i | \(-0.347828\pi\) |
−0.0455222 | + | 0.998963i | \(0.514495\pi\) | |||||||
\(770\) | −8.52155 | + | 25.4362i | −0.307095 | + | 0.916658i | ||||
\(771\) | 16.9136 | + | 9.76507i | 0.609128 | + | 0.351680i | ||||
\(772\) | 2.26808 | − | 8.46459i | 0.0816300 | − | 0.304647i | ||||
\(773\) | 1.37390 | + | 0.368134i | 0.0494156 | + | 0.0132409i | 0.283442 | − | 0.958989i | \(-0.408524\pi\) |
−0.234027 | + | 0.972230i | \(0.575190\pi\) | |||||||
\(774\) | 5.08645 | + | 1.36291i | 0.182829 | + | 0.0489888i | ||||
\(775\) | −1.57388 | + | 5.87381i | −0.0565355 | + | 0.210993i | ||||
\(776\) | −9.36748 | − | 5.40832i | −0.336273 | − | 0.194147i | ||||
\(777\) | −7.66624 | + | 6.77735i | −0.275025 | + | 0.243136i | ||||
\(778\) | 34.6527 | + | 9.28516i | 1.24236 | + | 0.332889i | ||||
\(779\) | 8.63782 | − | 4.98705i | 0.309482 | − | 0.178680i | ||||
\(780\) | −1.09144 | + | 10.4854i | −0.0390798 | + | 0.375438i | ||||
\(781\) | −16.5226 | + | 28.6179i | −0.591224 | + | 1.02403i | ||||
\(782\) | −0.429262 | − | 1.60203i | −0.0153504 | − | 0.0572884i | ||||
\(783\) | 1.55254 | − | 0.896358i | 0.0554832 | − | 0.0320332i | ||||
\(784\) | −2.73024 | − | 6.44560i | −0.0975085 | − | 0.230200i | ||||
\(785\) | 20.5402 | + | 20.5402i | 0.733109 | + | 0.733109i | ||||
\(786\) | −13.6082 | − | 13.6082i | −0.485387 | − | 0.485387i | ||||
\(787\) | −4.47005 | + | 16.6824i | −0.159340 | + | 0.594665i | 0.839355 | + | 0.543584i | \(0.182933\pi\) |
−0.998695 | + | 0.0510805i | \(0.983734\pi\) | |||||||
\(788\) | 2.82376 | + | 10.5384i | 0.100592 | + | 0.375416i | ||||
\(789\) | − | 8.42237i | − | 0.299844i | ||||||
\(790\) | −11.2215 | − | 19.4362i | −0.399243 | − | 0.691509i | ||||
\(791\) | 1.81057 | − | 29.4198i | 0.0643766 | − | 1.04605i | ||||
\(792\) | 3.46776i | 0.123221i | ||||||||
\(793\) | 10.0128 | − | 26.1626i | 0.355566 | − | 0.929062i | ||||
\(794\) | −20.3665 | − | 11.7586i | −0.722778 | − | 0.417296i | ||||
\(795\) | −12.2795 | − | 12.2795i | −0.435510 | − | 0.435510i | ||||
\(796\) | 13.9446 | + | 8.05090i | 0.494252 | + | 0.285357i | ||||
\(797\) | −3.69089 | + | 6.39280i | −0.130738 | + | 0.226445i | −0.923961 | − | 0.382486i | \(-0.875068\pi\) |
0.793223 | + | 0.608931i | \(0.208401\pi\) | |||||||
\(798\) | 11.5643 | + | 0.711695i | 0.409370 | + | 0.0251937i | ||||
\(799\) | 13.8809 | − | 3.71937i | 0.491070 | − | 0.131582i | ||||
\(800\) | 2.50941 | − | 2.50941i | 0.0887210 | − | 0.0887210i | ||||
\(801\) | −7.19049 | + | 1.92669i | −0.254063 | + | 0.0680761i | ||||
\(802\) | −16.6770 | − | 28.8854i | −0.588886 | − | 1.01998i | ||||
\(803\) | 27.8247 | − | 48.1938i | 0.981912 | − | 1.70072i | ||||
\(804\) | 0.898924 | − | 3.35483i | 0.0317026 | − | 0.118316i | ||||
\(805\) | 9.76147 | + | 3.27025i | 0.344047 | + | 0.115261i | ||||
\(806\) | 0.972596 | + | 6.10116i | 0.0342582 | + | 0.214904i | ||||
\(807\) | 4.03419 | + | 6.98743i | 0.142010 | + | 0.245969i | ||||
\(808\) | −4.64542 | + | 4.64542i | −0.163425 | + | 0.163425i | ||||
\(809\) | 14.3469 | 0.504410 | 0.252205 | − | 0.967674i | \(-0.418844\pi\) | ||||
0.252205 | + | 0.967674i | \(0.418844\pi\) | |||||||
\(810\) | 2.92384 | 0.102733 | ||||||||
\(811\) | 5.96864 | − | 5.96864i | 0.209587 | − | 0.209587i | −0.594505 | − | 0.804092i | \(-0.702652\pi\) |
0.804092 | + | 0.594505i | \(0.202652\pi\) | |||||||
\(812\) | −4.73413 | − | 0.291351i | −0.166135 | − | 0.0102244i | ||||
\(813\) | −3.57961 | − | 13.3593i | −0.125542 | − | 0.468531i | ||||
\(814\) | −12.9546 | − | 3.47118i | −0.454059 | − | 0.121665i | ||||
\(815\) | 9.82226 | − | 5.67088i | 0.344059 | − | 0.198642i | ||||
\(816\) | 1.24628i | 0.0436285i | ||||||||
\(817\) | 22.2743 | − | 5.96839i | 0.779280 | − | 0.208808i | ||||
\(818\) | −25.9447 | −0.907137 | ||||||||
\(819\) | 9.49490 | − | 0.920230i | 0.331779 | − | 0.0321554i | ||||
\(820\) | −6.65943 | −0.232557 | ||||||||
\(821\) | −27.1093 | + | 7.26392i | −0.946121 | + | 0.253512i | −0.698716 | − | 0.715400i | \(-0.746245\pi\) |
−0.247406 | + | 0.968912i | \(0.579578\pi\) | |||||||
\(822\) | − | 16.3111i | − | 0.568917i | ||||||
\(823\) | 1.92929 | − | 1.11388i | 0.0672508 | − | 0.0388272i | −0.465998 | − | 0.884786i | \(-0.654304\pi\) |
0.533248 | + | 0.845959i | \(0.320971\pi\) | |||||||
\(824\) | −16.1646 | − | 4.33130i | −0.563121 | − | 0.150888i | ||||
\(825\) | 3.18516 | + | 11.8872i | 0.110893 | + | 0.413858i | ||||
\(826\) | −11.7381 | − | 23.5653i | −0.408420 | − | 0.819940i | ||||
\(827\) | 9.69683 | − | 9.69683i | 0.337192 | − | 0.337192i | −0.518118 | − | 0.855309i | \(-0.673367\pi\) |
0.855309 | + | 0.518118i | \(0.173367\pi\) | |||||||
\(828\) | 1.33080 | 0.0462483 | ||||||||
\(829\) | 34.7640 | 1.20740 | 0.603702 | − | 0.797210i | \(-0.293692\pi\) | ||||
0.603702 | + | 0.797210i | \(0.293692\pi\) | |||||||
\(830\) | −6.77347 | + | 6.77347i | −0.235111 | + | 0.235111i | ||||
\(831\) | 3.30291 | + | 5.72080i | 0.114577 | + | 0.198452i | ||||
\(832\) | 1.28874 | − | 3.36737i | 0.0446790 | − | 0.116742i | ||||
\(833\) | 8.65811 | + | 1.06974i | 0.299986 | + | 0.0370642i | ||||
\(834\) | −3.60383 | + | 13.4497i | −0.124790 | + | 0.465724i | ||||
\(835\) | −23.6561 | + | 40.9736i | −0.818654 | + | 1.41795i | ||||
\(836\) | 7.59291 | + | 13.1513i | 0.262606 | + | 0.454848i | ||||
\(837\) | 1.65514 | − | 0.443492i | 0.0572099 | − | 0.0153293i | ||||
\(838\) | 24.8366 | − | 24.8366i | 0.857966 | − | 0.857966i | ||||
\(839\) | 13.3250 | − | 3.57042i | 0.460029 | − | 0.123264i | −0.0213592 | − | 0.999772i | \(-0.506799\pi\) |
0.481388 | + | 0.876507i | \(0.340133\pi\) | |||||||
\(840\) | −6.44912 | − | 4.27209i | −0.222516 | − | 0.147401i | ||||
\(841\) | 12.8931 | − | 22.3315i | 0.444589 | − | 0.770051i | ||||
\(842\) | −30.3523 | − | 17.5239i | −1.04601 | − | 0.603914i | ||||
\(843\) | 7.87812 | + | 7.87812i | 0.271337 | + | 0.271337i | ||||
\(844\) | −3.52990 | − | 2.03799i | −0.121504 | − | 0.0701504i | ||||
\(845\) | 20.7655 | + | 31.8362i | 0.714356 | + | 1.09520i | ||||
\(846\) | 11.5308i | 0.396436i | ||||||||
\(847\) | 1.20951 | + | 2.42821i | 0.0415594 | + | 0.0834344i | ||||
\(848\) | 2.96970 | + | 5.14367i | 0.101980 | + | 0.176635i | ||||
\(849\) | 19.1650i | 0.657740i | ||||||||
\(850\) | 1.14471 | + | 4.27213i | 0.0392634 | + | 0.146533i | ||||
\(851\) | −1.33211 | + | 4.97150i | −0.0456641 | + | 0.170421i | ||||
\(852\) | −6.73821 | − | 6.73821i | −0.230847 | − | 0.230847i | ||||
\(853\) | 11.6957 | + | 11.6957i | 0.400452 | + | 0.400452i | 0.878392 | − | 0.477940i | \(-0.158616\pi\) |
−0.477940 | + | 0.878392i | \(0.658616\pi\) | |||||||
\(854\) | 13.6150 | + | 15.4007i | 0.465897 | + | 0.527003i | ||||
\(855\) | 11.0885 | − | 6.40197i | 0.379220 | − | 0.218943i | ||||
\(856\) | −5.21961 | − | 19.4799i | −0.178403 | − | 0.665808i | ||||
\(857\) | −5.55282 | + | 9.61776i | −0.189681 | + | 0.328536i | −0.945144 | − | 0.326655i | \(-0.894079\pi\) |
0.755463 | + | 0.655191i | \(0.227412\pi\) | |||||||
\(858\) | 7.87823 | + | 9.70890i | 0.268958 | + | 0.331456i | ||||
\(859\) | 25.5803 | − | 14.7688i | 0.872789 | − | 0.503905i | 0.00451500 | − | 0.999990i | \(-0.498563\pi\) |
0.868274 | + | 0.496085i | \(0.165229\pi\) | |||||||
\(860\) | −14.8720 | − | 3.98493i | −0.507130 | − | 0.135885i | ||||
\(861\) | 1.19917 | + | 5.90553i | 0.0408674 | + | 0.201260i | ||||
\(862\) | 18.9028 | + | 10.9136i | 0.643833 | + | 0.371717i | ||||
\(863\) | 4.74380 | − | 17.7041i | 0.161481 | − | 0.602654i | −0.836982 | − | 0.547230i | \(-0.815682\pi\) |
0.998463 | − | 0.0554240i | \(-0.0176511\pi\) | |||||||
\(864\) | −0.965926 | − | 0.258819i | −0.0328615 | − | 0.00880520i | ||||
\(865\) | 15.1599 | + | 4.06208i | 0.515452 | + | 0.138115i | ||||
\(866\) | 1.51546 | − | 5.65576i | 0.0514973 | − | 0.192191i | ||||
\(867\) | 13.3773 | + | 7.72340i | 0.454317 | + | 0.262300i | ||||
\(868\) | −4.29873 | − | 1.44015i | −0.145908 | − | 0.0488817i | ||||
\(869\) | −25.7110 | − | 6.88925i | −0.872187 | − | 0.233702i | ||||
\(870\) | −4.53937 | + | 2.62081i | −0.153899 | + | 0.0888537i | ||||
\(871\) | −5.10491 | − | 11.4350i | −0.172973 | − | 0.387459i | ||||
\(872\) | −9.60701 | + | 16.6398i | −0.325334 | + | 0.563496i | ||||
\(873\) | 2.79955 | + | 10.4481i | 0.0947504 | + | 0.353613i | ||||
\(874\) | 5.04698 | − | 2.91388i | 0.170717 | − | 0.0985633i | ||||
\(875\) | 10.6444 | + | 3.56604i | 0.359845 | + | 0.120554i | ||||
\(876\) | 11.3474 | + | 11.3474i | 0.383393 | + | 0.383393i | ||||
\(877\) | −9.62181 | − | 9.62181i | −0.324906 | − | 0.324906i | 0.525740 | − | 0.850645i | \(-0.323789\pi\) |
−0.850645 | + | 0.525740i | \(0.823789\pi\) | |||||||
\(878\) | −10.3799 | + | 38.7382i | −0.350304 | + | 1.30735i | ||||
\(879\) | −3.60415 | − | 13.4509i | −0.121565 | − | 0.453686i | ||||
\(880\) | − | 10.1392i | − | 0.341791i | ||||||
\(881\) | −16.1649 | − | 27.9985i | −0.544610 | − | 0.943292i | −0.998631 | − | 0.0523016i | \(-0.983344\pi\) |
0.454021 | − | 0.890991i | \(-0.349989\pi\) | |||||||
\(882\) | −2.62716 | + | 6.48830i | −0.0884611 | + | 0.218472i | ||||
\(883\) | − | 28.6617i | − | 0.964543i | −0.876022 | − | 0.482271i | \(-0.839812\pi\) | ||
0.876022 | − | 0.482271i | \(-0.160188\pi\) | |||||||
\(884\) | 2.83136 | + | 3.48928i | 0.0952290 | + | 0.117357i | ||||
\(885\) | −25.1962 | − | 14.5470i | −0.846959 | − | 0.488992i | ||||
\(886\) | −15.7434 | − | 15.7434i | −0.528911 | − | 0.528911i | ||||
\(887\) | −28.2836 | − | 16.3295i | −0.949669 | − | 0.548291i | −0.0566907 | − | 0.998392i | \(-0.518055\pi\) |
−0.892978 | + | 0.450100i | \(0.851388\pi\) | |||||||
\(888\) | 1.93376 | − | 3.34937i | 0.0648927 | − | 0.112397i | ||||
\(889\) | 6.10990 | − | 9.22347i | 0.204920 | − | 0.309345i | ||||
\(890\) | 21.0238 | − | 5.63332i | 0.704721 | − | 0.188829i | ||||
\(891\) | 2.45207 | − | 2.45207i | 0.0821476 | − | 0.0821476i | ||||
\(892\) | 24.1760 | − | 6.47794i | 0.809472 | − | 0.216897i | ||||
\(893\) | 25.2475 | + | 43.7299i | 0.844875 | + | 1.46337i | ||||
\(894\) | −6.16476 | + | 10.6777i | −0.206181 | + | 0.357115i | ||||
\(895\) | −11.4633 | + | 42.7818i | −0.383178 | + | 1.43004i | ||||
\(896\) | 1.75238 | + | 1.98221i | 0.0585428 | + | 0.0662211i | ||||
\(897\) | 3.72591 | − | 3.02337i | 0.124405 | − | 0.100947i | ||||
\(898\) | −6.79038 | − | 11.7613i | −0.226598 | − | 0.392479i | ||||
\(899\) | −2.17213 | + | 2.17213i | −0.0724447 | + | 0.0724447i | ||||
\(900\) | −3.54884 | −0.118295 | ||||||||
\(901\) | −7.40215 | −0.246601 | ||||||||
\(902\) | −5.58492 | + | 5.58492i | −0.185958 | + | 0.185958i | ||||
\(903\) | −0.855806 | + | 13.9059i | −0.0284794 | + | 0.462760i | ||||
\(904\) | 2.88342 | + | 10.7611i | 0.0959011 | + | 0.357908i | ||||
\(905\) | 25.2244 | + | 6.75887i | 0.838489 | + | 0.224672i | ||||
\(906\) | 6.44576 | − | 3.72146i | 0.214146 | − | 0.123637i | ||||
\(907\) | − | 14.9029i | − | 0.494842i | −0.968908 | − | 0.247421i | \(-0.920417\pi\) | ||
0.968908 | − | 0.247421i | \(-0.0795831\pi\) | |||||||
\(908\) | −2.40025 | + | 0.643146i | −0.0796552 | + | 0.0213435i | ||||
\(909\) | 6.56962 | 0.217900 | ||||||||
\(910\) | −27.7616 | + | 2.69060i | −0.920287 | + | 0.0891927i | ||||
\(911\) | 20.7815 | 0.688522 | 0.344261 | − | 0.938874i | \(-0.388129\pi\) | ||||
0.344261 | + | 0.938874i | \(0.388129\pi\) | |||||||
\(912\) | −4.22993 | + | 1.13341i | −0.140067 | + | 0.0375309i | ||||
\(913\) | 11.3611i | 0.375999i | ||||||||
\(914\) | 18.0116 | − | 10.3990i | 0.595770 | − | 0.343968i | ||||
\(915\) | 21.9426 | + | 5.87951i | 0.725401 | + | 0.194371i | ||||
\(916\) | −1.61841 | − | 6.04000i | −0.0534739 | − | 0.199567i | ||||
\(917\) | 28.1191 | − | 42.4484i | 0.928574 | − | 1.40177i | ||||
\(918\) | 0.881252 | − | 0.881252i | 0.0290856 | − | 0.0290856i | ||||
\(919\) | −24.1849 | −0.797786 | −0.398893 | − | 0.916998i | \(-0.630605\pi\) | ||||
−0.398893 | + | 0.916998i | \(0.630605\pi\) | |||||||
\(920\) | −3.89103 | −0.128284 | ||||||||
\(921\) | −1.15724 | + | 1.15724i | −0.0381324 | + | 0.0381324i | ||||
\(922\) | 16.5909 | + | 28.7363i | 0.546393 | + | 0.946381i | ||||
\(923\) | −34.1736 | − | 3.55717i | −1.12484 | − | 0.117086i | ||||
\(924\) | −8.99132 | + | 1.82576i | −0.295793 | + | 0.0600631i | ||||
\(925\) | 3.55234 | − | 13.2575i | 0.116800 | − | 0.435904i | ||||
\(926\) | −6.56487 | + | 11.3707i | −0.215735 | + | 0.373664i | ||||
\(927\) | 8.36742 | + | 14.4928i | 0.274822 | + | 0.476006i | ||||
\(928\) | 1.73163 | − | 0.463989i | 0.0568436 | − | 0.0152312i | ||||
\(929\) | −26.1948 | + | 26.1948i | −0.859423 | + | 0.859423i | −0.991270 | − | 0.131847i | \(-0.957909\pi\) |
0.131847 | + | 0.991270i | \(0.457909\pi\) | |||||||
\(930\) | −4.83935 | + | 1.29670i | −0.158689 | + | 0.0425205i | ||||
\(931\) | 4.24323 | + | 30.3589i | 0.139066 | + | 0.994974i | ||||
\(932\) | −0.447562 | + | 0.775199i | −0.0146604 | + | 0.0253925i | ||||
\(933\) | −0.956133 | − | 0.552024i | −0.0313024 | − | 0.0180724i | ||||
\(934\) | 5.44601 | + | 5.44601i | 0.178199 | + | 0.178199i | ||||
\(935\) | 10.9433 | + | 6.31811i | 0.357884 | + | 0.206624i | ||||
\(936\) | −3.29236 | + | 1.46981i | −0.107614 | + | 0.0480422i | ||||
\(937\) | 0.697203i | 0.0227766i | 0.999935 | + | 0.0113883i | \(0.00362509\pi\) | ||||
−0.999935 | + | 0.0113883i | \(0.996375\pi\) | |||||||
\(938\) | 9.17180 | + | 0.564457i | 0.299470 | + | 0.0184302i | ||||
\(939\) | 6.90007 | + | 11.9513i | 0.225175 | + | 0.390015i | ||||
\(940\) | − | 33.7141i | − | 1.09963i | ||||||
\(941\) | 7.61662 | + | 28.4256i | 0.248295 | + | 0.926648i | 0.971699 | + | 0.236224i | \(0.0759098\pi\) |
−0.723404 | + | 0.690425i | \(0.757424\pi\) | |||||||
\(942\) | −2.57135 | + | 9.59641i | −0.0837791 | + | 0.312668i | ||||
\(943\) | 2.14328 | + | 2.14328i | 0.0697950 | + | 0.0697950i | ||||
\(944\) | 7.03615 | + | 7.03615i | 0.229007 | + | 0.229007i | ||||
\(945\) | 1.53939 | + | 7.58104i | 0.0500764 | + | 0.246611i | ||||
\(946\) | −15.8143 | + | 9.13040i | −0.514168 | + | 0.296855i | ||||
\(947\) | −6.46824 | − | 24.1398i | −0.210190 | − | 0.784439i | −0.987805 | − | 0.155698i | \(-0.950237\pi\) |
0.777615 | − | 0.628741i | \(-0.216429\pi\) | |||||||
\(948\) | 3.83793 | − | 6.64749i | 0.124650 | − | 0.215900i | ||||
\(949\) | 57.5497 | + | 5.99042i | 1.86814 | + | 0.194457i | ||||
\(950\) | −13.4588 | + | 7.77045i | −0.436661 | + | 0.252107i | ||||
\(951\) | −20.7807 | − | 5.56818i | −0.673861 | − | 0.180560i | ||||
\(952\) | −3.23139 | + | 0.656161i | −0.104730 | + | 0.0212663i | ||||
\(953\) | −36.8509 | − | 21.2759i | −1.19372 | − | 0.689194i | −0.234571 | − | 0.972099i | \(-0.575369\pi\) |
−0.959148 | + | 0.282905i | \(0.908702\pi\) | |||||||
\(954\) | 1.53723 | − | 5.73702i | 0.0497697 | − | 0.185743i | ||||
\(955\) | 55.3561 | + | 14.8326i | 1.79128 | + | 0.479972i | ||||
\(956\) | 17.5641 | + | 4.70629i | 0.568064 | + | 0.152212i | ||||
\(957\) | −1.60900 | + | 6.00488i | −0.0520116 | + | 0.194110i | ||||
\(958\) | −22.4615 | − | 12.9682i | −0.725699 | − | 0.418983i | ||||
\(959\) | 42.2921 | − | 8.58776i | 1.36568 | − | 0.277313i | ||||
\(960\) | 2.82421 | + | 0.756745i | 0.0911511 | + | 0.0244239i | ||||
\(961\) | 24.3040 | − | 14.0319i | 0.784000 | − | 0.452643i | ||||
\(962\) | −2.19520 | − | 13.7707i | −0.0707762 | − | 0.443984i | ||||
\(963\) | −10.0835 | + | 17.4652i | −0.324937 | + | 0.562807i | ||||
\(964\) | 7.12871 | + | 26.6047i | 0.229600 | + | 0.856880i | ||||
\(965\) | 22.1894 | − | 12.8111i | 0.714303 | − | 0.412403i | ||||
\(966\) | 0.700659 | + | 3.45053i | 0.0225433 | + | 0.111019i | ||||
\(967\) | −8.32334 | − | 8.32334i | −0.267660 | − | 0.267660i | 0.560496 | − | 0.828157i | \(-0.310610\pi\) |
−0.828157 | + | 0.560496i | \(0.810610\pi\) | |||||||
\(968\) | −0.725019 | − | 0.725019i | −0.0233030 | − | 0.0233030i | ||||
\(969\) | 1.41254 | − | 5.27167i | 0.0453773 | − | 0.169351i | ||||
\(970\) | −8.18544 | − | 30.5485i | −0.262819 | − | 0.980852i | ||||
\(971\) | − | 32.3495i | − | 1.03814i | −0.854731 | − | 0.519072i | \(-0.826278\pi\) | ||
0.854731 | − | 0.519072i | \(-0.173722\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | −36.7702 | − | 2.26293i | −1.17880 | − | 0.0725463i | ||||
\(974\) | − | 38.5059i | − | 1.23381i | ||||||
\(975\) | −9.93591 | + | 8.06244i | −0.318204 | + | 0.258205i | ||||
\(976\) | −6.72855 | − | 3.88473i | −0.215376 | − | 0.124347i | ||||
\(977\) | −17.6692 | − | 17.6692i | −0.565288 | − | 0.565288i | 0.365517 | − | 0.930805i | \(-0.380892\pi\) |
−0.930805 | + | 0.365517i | \(0.880892\pi\) | |||||||
\(978\) | 3.35937 | + | 1.93953i | 0.107421 | + | 0.0620194i | ||||
\(979\) | 12.9072 | − | 22.3560i | 0.412517 | − | 0.714500i | ||||
\(980\) | 7.68139 | − | 18.9707i | 0.245373 | − | 0.605998i | ||||
\(981\) | 18.5593 | − | 4.97295i | 0.592553 | − | 0.158774i | ||||
\(982\) | 12.6880 | − | 12.6880i | 0.404891 | − | 0.404891i | ||||
\(983\) | −13.5646 | + | 3.63462i | −0.432643 | + | 0.115926i | −0.468566 | − | 0.883428i | \(-0.655229\pi\) |
0.0359238 | + | 0.999355i | \(0.488563\pi\) | |||||||
\(984\) | −1.13882 | − | 1.97249i | −0.0363041 | − | 0.0628806i | ||||
\(985\) | −15.9498 | + | 27.6259i | −0.508203 | + | 0.880234i | ||||
\(986\) | −0.578260 | + | 2.15809i | −0.0184155 | + | 0.0687277i | ||||
\(987\) | −29.8974 | + | 6.07091i | −0.951645 | + | 0.193239i | ||||
\(988\) | −9.26788 | + | 12.7831i | −0.294851 | + | 0.406683i | ||||
\(989\) | 3.50391 | + | 6.06894i | 0.111418 | + | 0.192981i | ||||
\(990\) | −7.16947 | + | 7.16947i | −0.227861 | + | 0.227861i | ||||
\(991\) | −20.6307 | −0.655357 | −0.327678 | − | 0.944789i | \(-0.606266\pi\) | ||||
−0.327678 | + | 0.944789i | \(0.606266\pi\) | |||||||
\(992\) | 1.71352 | 0.0544044 | ||||||||
\(993\) | 19.5495 | − | 19.5495i | 0.620384 | − | 0.620384i | ||||
\(994\) | 13.9234 | − | 21.0187i | 0.441624 | − | 0.666673i | ||||
\(995\) | 12.1850 | + | 45.4749i | 0.386289 | + | 1.44165i | ||||
\(996\) | −3.16458 | − | 0.847948i | −0.100274 | − | 0.0268683i | ||||
\(997\) | −22.5605 | + | 13.0253i | −0.714498 | + | 0.412515i | −0.812724 | − | 0.582649i | \(-0.802016\pi\) |
0.0982266 | + | 0.995164i | \(0.468683\pi\) | |||||||
\(998\) | 18.9342i | 0.599351i | ||||||||
\(999\) | −3.73573 | + | 1.00099i | −0.118193 | + | 0.0316698i |
(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 | 546.2.by.b.115.9 | yes | 40 | |
7.5 | odd | 6 | 546.2.cg.b.271.4 | yes | 40 | ||
13.6 | odd | 12 | 546.2.cg.b.409.4 | yes | 40 | ||
91.19 | even | 12 | inner | 546.2.by.b.19.9 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.19.9 | ✓ | 40 | 91.19 | even | 12 | inner | |
546.2.by.b.115.9 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.cg.b.271.4 | yes | 40 | 7.5 | odd | 6 | ||
546.2.cg.b.409.4 | yes | 40 | 13.6 | odd | 12 |