Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 18 x^{16} - 25 x^{15} + 132 x^{14} - 135 x^{13} + 666 x^{12} - 297 x^{11} + 1845 x^{10} + \cdots + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 181.3 | ||
Root | \(-1.09918 + 1.90384i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.181 |
Dual form | 370.2.o.b.231.3 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 0.381743 | + | 2.16497i | 0.220399 | + | 1.24995i | 0.871288 | + | 0.490773i | \(0.163285\pi\) |
−0.650889 | + | 0.759173i | \(0.725603\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | −0.766044 | + | 0.642788i | −0.342585 | + | 0.287463i | ||||
\(6\) | −2.19837 | −0.897480 | ||||||||
\(7\) | −2.80439 | + | 2.35316i | −1.05996 | + | 0.889411i | −0.994105 | − | 0.108418i | \(-0.965421\pi\) |
−0.0658536 | + | 0.997829i | \(0.520977\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −1.72229 | + | 0.626862i | −0.574096 | + | 0.208954i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | 0.760664 | − | 1.31751i | 0.229349 | − | 0.397244i | −0.728266 | − | 0.685294i | \(-0.759674\pi\) |
0.957615 | + | 0.288050i | \(0.0930070\pi\) | |||||||
\(12\) | 0.381743 | − | 2.16497i | 0.110200 | − | 0.624973i | ||||
\(13\) | −0.396939 | − | 0.144474i | −0.110091 | − | 0.0400699i | 0.286387 | − | 0.958114i | \(-0.407546\pi\) |
−0.396478 | + | 0.918044i | \(0.629768\pi\) | |||||||
\(14\) | −1.83043 | − | 3.17041i | −0.489204 | − | 0.847326i | ||||
\(15\) | −1.68405 | − | 1.41308i | −0.434819 | − | 0.364857i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −3.43528 | + | 1.25034i | −0.833178 | + | 0.303252i | −0.723163 | − | 0.690678i | \(-0.757312\pi\) |
−0.110015 | + | 0.993930i | \(0.535090\pi\) | |||||||
\(18\) | −0.318266 | − | 1.80498i | −0.0750160 | − | 0.425437i | ||||
\(19\) | −0.280874 | − | 1.59292i | −0.0644369 | − | 0.365440i | −0.999927 | − | 0.0120869i | \(-0.996153\pi\) |
0.935490 | − | 0.353353i | \(-0.114959\pi\) | |||||||
\(20\) | 0.939693 | − | 0.342020i | 0.210122 | − | 0.0764780i | ||||
\(21\) | −6.16508 | − | 5.17311i | −1.34533 | − | 1.12887i | ||||
\(22\) | 1.16540 | + | 0.977891i | 0.248465 | + | 0.208487i | ||||
\(23\) | 1.58767 | + | 2.74993i | 0.331052 | + | 0.573400i | 0.982718 | − | 0.185106i | \(-0.0592630\pi\) |
−0.651666 | + | 0.758506i | \(0.725930\pi\) | |||||||
\(24\) | 2.06579 | + | 0.751886i | 0.421678 | + | 0.153478i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | 0.211207 | − | 0.365821i | 0.0414210 | − | 0.0717434i | ||||
\(27\) | 1.28294 | + | 2.22212i | 0.246903 | + | 0.427648i | ||||
\(28\) | 3.44009 | − | 1.25209i | 0.650116 | − | 0.236623i | ||||
\(29\) | −1.06893 | + | 1.85144i | −0.198495 | + | 0.343804i | −0.948041 | − | 0.318149i | \(-0.896939\pi\) |
0.749546 | + | 0.661953i | \(0.230272\pi\) | |||||||
\(30\) | 1.68405 | − | 1.41308i | 0.307464 | − | 0.257993i | ||||
\(31\) | 3.91727 | 0.703562 | 0.351781 | − | 0.936082i | \(-0.385576\pi\) | ||||
0.351781 | + | 0.936082i | \(0.385576\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 3.14274 | + | 1.14387i | 0.547082 | + | 0.199121i | ||||
\(34\) | −0.634814 | − | 3.60021i | −0.108870 | − | 0.617431i | ||||
\(35\) | 0.635703 | − | 3.60525i | 0.107453 | − | 0.609399i | ||||
\(36\) | 1.83282 | 0.305470 | ||||||||
\(37\) | −4.81875 | + | 3.71210i | −0.792197 | + | 0.610266i | ||||
\(38\) | 1.61749 | 0.262391 | ||||||||
\(39\) | 0.161253 | − | 0.914512i | 0.0258212 | − | 0.146439i | ||||
\(40\) | 0.173648 | + | 0.984808i | 0.0274562 | + | 0.155712i | ||||
\(41\) | −3.94285 | − | 1.43508i | −0.615770 | − | 0.224122i | 0.0152559 | − | 0.999884i | \(-0.495144\pi\) |
−0.631026 | + | 0.775762i | \(0.717366\pi\) | |||||||
\(42\) | 6.16508 | − | 5.17311i | 0.951292 | − | 0.798229i | ||||
\(43\) | 1.06506 | 0.162420 | 0.0812099 | − | 0.996697i | \(-0.474122\pi\) | ||||
0.0812099 | + | 0.996697i | \(0.474122\pi\) | |||||||
\(44\) | −1.16540 | + | 0.977891i | −0.175691 | + | 0.147423i | ||||
\(45\) | 0.916411 | − | 1.58727i | 0.136610 | − | 0.236616i | ||||
\(46\) | −2.98385 | + | 1.08603i | −0.439944 | + | 0.160127i | ||||
\(47\) | 1.17275 | + | 2.03126i | 0.171063 | + | 0.296289i | 0.938792 | − | 0.344485i | \(-0.111947\pi\) |
−0.767729 | + | 0.640775i | \(0.778613\pi\) | |||||||
\(48\) | −1.09918 | + | 1.90384i | −0.158654 | + | 0.274796i | ||||
\(49\) | 1.11169 | − | 6.30470i | 0.158813 | − | 0.900671i | ||||
\(50\) | 0.939693 | + | 0.342020i | 0.132893 | + | 0.0483690i | ||||
\(51\) | −4.01834 | − | 6.95997i | −0.562680 | − | 0.974591i | ||||
\(52\) | 0.323587 | + | 0.271522i | 0.0448735 | + | 0.0376533i | ||||
\(53\) | 2.03625 | + | 1.70861i | 0.279700 | + | 0.234696i | 0.771835 | − | 0.635823i | \(-0.219339\pi\) |
−0.492135 | + | 0.870519i | \(0.663783\pi\) | |||||||
\(54\) | −2.41115 | + | 0.877585i | −0.328115 | + | 0.119424i | ||||
\(55\) | 0.264176 | + | 1.49822i | 0.0356215 | + | 0.202019i | ||||
\(56\) | 0.635703 | + | 3.60525i | 0.0849494 | + | 0.481772i | ||||
\(57\) | 3.34139 | − | 1.21617i | 0.442578 | − | 0.161085i | ||||
\(58\) | −1.63769 | − | 1.37419i | −0.215040 | − | 0.180440i | ||||
\(59\) | 10.3613 | + | 8.69413i | 1.34892 | + | 1.13188i | 0.979236 | + | 0.202722i | \(0.0649789\pi\) |
0.369685 | + | 0.929157i | \(0.379466\pi\) | |||||||
\(60\) | 1.09918 | + | 1.90384i | 0.141904 | + | 0.245785i | ||||
\(61\) | −11.3270 | − | 4.12269i | −1.45027 | − | 0.527856i | −0.507606 | − | 0.861589i | \(-0.669469\pi\) |
−0.942668 | + | 0.333733i | \(0.891692\pi\) | |||||||
\(62\) | −0.680226 | + | 3.85775i | −0.0863888 | + | 0.489935i | ||||
\(63\) | 3.35486 | − | 5.81079i | 0.422672 | − | 0.732090i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.396939 | − | 0.144474i | 0.0492342 | − | 0.0179198i | ||||
\(66\) | −1.67222 | + | 2.89637i | −0.205836 | + | 0.356518i | ||||
\(67\) | −9.69452 | + | 8.13466i | −1.18437 | + | 0.993807i | −0.184434 | + | 0.982845i | \(0.559045\pi\) |
−0.999940 | + | 0.0109624i | \(0.996510\pi\) | |||||||
\(68\) | 3.65575 | 0.443325 | ||||||||
\(69\) | −5.34743 | + | 4.48703i | −0.643755 | + | 0.540174i | ||||
\(70\) | 3.44009 | + | 1.25209i | 0.411170 | + | 0.149653i | ||||
\(71\) | 2.80510 | + | 15.9085i | 0.332904 | + | 1.88799i | 0.447020 | + | 0.894524i | \(0.352485\pi\) |
−0.114116 | + | 0.993467i | \(0.536403\pi\) | |||||||
\(72\) | −0.318266 | + | 1.80498i | −0.0375080 | + | 0.212719i | ||||
\(73\) | 11.7958 | 1.38060 | 0.690300 | − | 0.723524i | \(-0.257479\pi\) | ||||
0.690300 | + | 0.723524i | \(0.257479\pi\) | |||||||
\(74\) | −2.81894 | − | 5.39014i | −0.327695 | − | 0.626591i | ||||
\(75\) | 2.19837 | 0.253846 | ||||||||
\(76\) | −0.280874 | + | 1.59292i | −0.0322185 | + | 0.182720i | ||||
\(77\) | 0.967113 | + | 5.48477i | 0.110213 | + | 0.625048i | ||||
\(78\) | 0.872617 | + | 0.317607i | 0.0988045 | + | 0.0359619i | ||||
\(79\) | 1.70308 | − | 1.42905i | 0.191611 | − | 0.160781i | −0.541935 | − | 0.840420i | \(-0.682308\pi\) |
0.733546 | + | 0.679639i | \(0.237864\pi\) | |||||||
\(80\) | −1.00000 | −0.111803 | ||||||||
\(81\) | −8.53315 | + | 7.16016i | −0.948127 | + | 0.795573i | ||||
\(82\) | 2.09795 | − | 3.63375i | 0.231680 | − | 0.401281i | ||||
\(83\) | 12.2075 | − | 4.44316i | 1.33994 | − | 0.487700i | 0.430149 | − | 0.902758i | \(-0.358461\pi\) |
0.909795 | + | 0.415058i | \(0.136239\pi\) | |||||||
\(84\) | 4.02397 | + | 6.96972i | 0.439051 | + | 0.760458i | ||||
\(85\) | 1.82787 | − | 3.16597i | 0.198261 | − | 0.343398i | ||||
\(86\) | −0.184945 | + | 1.04888i | −0.0199432 | + | 0.113103i | ||||
\(87\) | −4.41637 | − | 1.60743i | −0.473484 | − | 0.172334i | ||||
\(88\) | −0.760664 | − | 1.31751i | −0.0810871 | − | 0.140447i | ||||
\(89\) | 2.42826 | + | 2.03755i | 0.257395 | + | 0.215980i | 0.762349 | − | 0.647166i | \(-0.224046\pi\) |
−0.504954 | + | 0.863146i | \(0.668490\pi\) | |||||||
\(90\) | 1.40402 | + | 1.17811i | 0.147997 | + | 0.124184i | ||||
\(91\) | 1.45314 | − | 0.528900i | 0.152331 | − | 0.0554438i | ||||
\(92\) | −0.551393 | − | 3.12710i | −0.0574867 | − | 0.326023i | ||||
\(93\) | 1.49539 | + | 8.48076i | 0.155064 | + | 0.879414i | ||||
\(94\) | −2.20404 | + | 0.802206i | −0.227330 | + | 0.0827412i | ||||
\(95\) | 1.23907 | + | 1.03970i | 0.127126 | + | 0.106671i | ||||
\(96\) | −1.68405 | − | 1.41308i | −0.171877 | − | 0.144222i | ||||
\(97\) | −7.19146 | − | 12.4560i | −0.730183 | − | 1.26471i | −0.956805 | − | 0.290731i | \(-0.906102\pi\) |
0.226622 | − | 0.973983i | \(-0.427232\pi\) | |||||||
\(98\) | 6.01587 | + | 2.18960i | 0.607695 | + | 0.221183i | ||||
\(99\) | −0.484187 | + | 2.74596i | −0.0486626 | + | 0.275980i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | 5.69466 | + | 9.86344i | 0.566640 | + | 0.981449i | 0.996895 | + | 0.0787417i | \(0.0250902\pi\) |
−0.430255 | + | 0.902707i | \(0.641576\pi\) | |||||||
\(102\) | 7.55201 | − | 2.74871i | 0.747761 | − | 0.272163i | ||||
\(103\) | 2.91240 | − | 5.04442i | 0.286967 | − | 0.497042i | −0.686117 | − | 0.727491i | \(-0.740686\pi\) |
0.973084 | + | 0.230449i | \(0.0740196\pi\) | |||||||
\(104\) | −0.323587 | + | 0.271522i | −0.0317304 | + | 0.0266249i | ||||
\(105\) | 8.04794 | 0.785398 | ||||||||
\(106\) | −2.03625 | + | 1.70861i | −0.197778 | + | 0.165955i | ||||
\(107\) | 4.42669 | + | 1.61119i | 0.427945 | + | 0.155759i | 0.547008 | − | 0.837128i | \(-0.315767\pi\) |
−0.119063 | + | 0.992887i | \(0.537989\pi\) | |||||||
\(108\) | −0.445562 | − | 2.52691i | −0.0428742 | − | 0.243152i | ||||
\(109\) | 0.168787 | − | 0.957238i | 0.0161668 | − | 0.0916868i | −0.975657 | − | 0.219303i | \(-0.929622\pi\) |
0.991824 | + | 0.127617i | \(0.0407327\pi\) | |||||||
\(110\) | −1.52133 | −0.145053 | ||||||||
\(111\) | −9.87611 | − | 9.01537i | −0.937398 | − | 0.855701i | ||||
\(112\) | −3.66087 | −0.345920 | ||||||||
\(113\) | −1.37046 | + | 7.77229i | −0.128922 | + | 0.731156i | 0.849978 | + | 0.526818i | \(0.176615\pi\) |
−0.978900 | + | 0.204338i | \(0.934496\pi\) | |||||||
\(114\) | 0.617465 | + | 3.50182i | 0.0578309 | + | 0.327975i | ||||
\(115\) | −2.98385 | − | 1.08603i | −0.278245 | − | 0.101273i | ||||
\(116\) | 1.63769 | − | 1.37419i | 0.152056 | − | 0.127590i | ||||
\(117\) | 0.774208 | 0.0715756 | ||||||||
\(118\) | −10.3613 | + | 8.69413i | −0.953831 | + | 0.800360i | ||||
\(119\) | 6.69161 | − | 11.5902i | 0.613419 | − | 1.06247i | ||||
\(120\) | −2.06579 | + | 0.751886i | −0.188580 | + | 0.0686375i | ||||
\(121\) | 4.34278 | + | 7.52192i | 0.394798 | + | 0.683811i | ||||
\(122\) | 6.02697 | − | 10.4390i | 0.545656 | − | 0.945104i | ||||
\(123\) | 1.60175 | − | 9.08399i | 0.144425 | − | 0.819076i | ||||
\(124\) | −3.68103 | − | 1.33978i | −0.330566 | − | 0.120316i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | 5.13994 | + | 4.31292i | 0.457902 | + | 0.384226i | ||||
\(127\) | −1.93109 | − | 1.62038i | −0.171357 | − | 0.143785i | 0.553076 | − | 0.833131i | \(-0.313454\pi\) |
−0.724433 | + | 0.689345i | \(0.757898\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 0.406578 | + | 2.30582i | 0.0357972 | + | 0.203016i | ||||
\(130\) | 0.0733513 | + | 0.415996i | 0.00643334 | + | 0.0364853i | ||||
\(131\) | 19.6703 | − | 7.15940i | 1.71860 | − | 0.625519i | 0.720884 | − | 0.693056i | \(-0.243736\pi\) |
0.997717 | + | 0.0675367i | \(0.0215140\pi\) | |||||||
\(132\) | −2.56199 | − | 2.14976i | −0.222992 | − | 0.187113i | ||||
\(133\) | 4.53607 | + | 3.80621i | 0.393327 | + | 0.330040i | ||||
\(134\) | −6.32765 | − | 10.9598i | −0.546625 | − | 0.946783i | ||||
\(135\) | −2.41115 | − | 0.877585i | −0.207518 | − | 0.0755305i | ||||
\(136\) | −0.634814 | + | 3.60021i | −0.0544349 | + | 0.308716i | ||||
\(137\) | 6.73170 | − | 11.6596i | 0.575128 | − | 0.996150i | −0.420900 | − | 0.907107i | \(-0.638286\pi\) |
0.996028 | − | 0.0890432i | \(-0.0283809\pi\) | |||||||
\(138\) | −3.49029 | − | 6.04535i | −0.297113 | − | 0.514615i | ||||
\(139\) | −1.40070 | + | 0.509811i | −0.118805 | + | 0.0432416i | −0.400739 | − | 0.916192i | \(-0.631247\pi\) |
0.281933 | + | 0.959434i | \(0.409024\pi\) | |||||||
\(140\) | −1.83043 | + | 3.17041i | −0.154700 | + | 0.267948i | ||||
\(141\) | −3.94992 | + | 3.31438i | −0.332643 | + | 0.279121i | ||||
\(142\) | −16.1539 | −1.35561 | ||||||||
\(143\) | −0.492283 | + | 0.413074i | −0.0411667 | + | 0.0345430i | ||||
\(144\) | −1.72229 | − | 0.626862i | −0.143524 | − | 0.0522385i | ||||
\(145\) | −0.371235 | − | 2.10538i | −0.0308294 | − | 0.174842i | ||||
\(146\) | −2.04833 | + | 11.6166i | −0.169521 | + | 0.961400i | ||||
\(147\) | 14.0739 | 1.16079 | ||||||||
\(148\) | 5.79775 | − | 1.84013i | 0.476572 | − | 0.151257i | ||||
\(149\) | −14.9618 | −1.22572 | −0.612859 | − | 0.790192i | \(-0.709981\pi\) | ||||
−0.612859 | + | 0.790192i | \(0.709981\pi\) | |||||||
\(150\) | −0.381743 | + | 2.16497i | −0.0311692 | + | 0.176769i | ||||
\(151\) | −1.73093 | − | 9.81659i | −0.140861 | − | 0.798863i | −0.970598 | − | 0.240708i | \(-0.922620\pi\) |
0.829737 | − | 0.558155i | \(-0.188491\pi\) | |||||||
\(152\) | −1.51994 | − | 0.553214i | −0.123284 | − | 0.0448716i | ||||
\(153\) | 5.13276 | − | 4.30689i | 0.414959 | − | 0.348192i | ||||
\(154\) | −5.56938 | −0.448794 | ||||||||
\(155\) | −3.00080 | + | 2.51797i | −0.241030 | + | 0.202248i | ||||
\(156\) | −0.464310 | + | 0.804209i | −0.0371746 | + | 0.0643882i | ||||
\(157\) | 7.85917 | − | 2.86050i | 0.627230 | − | 0.228293i | −0.00879509 | − | 0.999961i | \(-0.502800\pi\) |
0.636025 | + | 0.771668i | \(0.280577\pi\) | |||||||
\(158\) | 1.11161 | + | 1.92536i | 0.0884347 | + | 0.153173i | ||||
\(159\) | −2.92177 | + | 5.06066i | −0.231712 | + | 0.401336i | ||||
\(160\) | 0.173648 | − | 0.984808i | 0.0137281 | − | 0.0778559i | ||||
\(161\) | −10.9235 | − | 3.97582i | −0.860890 | − | 0.313338i | ||||
\(162\) | −5.56961 | − | 9.64686i | −0.437590 | − | 0.757929i | ||||
\(163\) | −9.61747 | − | 8.07001i | −0.753298 | − | 0.632092i | 0.183075 | − | 0.983099i | \(-0.441395\pi\) |
−0.936373 | + | 0.351007i | \(0.885839\pi\) | |||||||
\(164\) | 3.21424 | + | 2.69707i | 0.250990 | + | 0.210606i | ||||
\(165\) | −3.14274 | + | 1.14387i | −0.244662 | + | 0.0890498i | ||||
\(166\) | 2.25585 | + | 12.7936i | 0.175088 | + | 0.992973i | ||||
\(167\) | −0.521597 | − | 2.95813i | −0.0403624 | − | 0.228907i | 0.957953 | − | 0.286925i | \(-0.0926330\pi\) |
−0.998316 | + | 0.0580181i | \(0.981522\pi\) | |||||||
\(168\) | −7.56259 | + | 2.75256i | −0.583466 | + | 0.212364i | ||||
\(169\) | −9.82189 | − | 8.24154i | −0.755530 | − | 0.633965i | ||||
\(170\) | 2.80047 | + | 2.34987i | 0.214786 | + | 0.180227i | ||||
\(171\) | 1.48228 | + | 2.56739i | 0.113353 | + | 0.196333i | ||||
\(172\) | −1.00083 | − | 0.364271i | −0.0763123 | − | 0.0277754i | ||||
\(173\) | −2.04477 | + | 11.5964i | −0.155461 | + | 0.881661i | 0.802903 | + | 0.596110i | \(0.203288\pi\) |
−0.958363 | + | 0.285551i | \(0.907823\pi\) | |||||||
\(174\) | 2.34990 | − | 4.07015i | 0.178145 | − | 0.308557i | ||||
\(175\) | 1.83043 | + | 3.17041i | 0.138368 | + | 0.239660i | ||||
\(176\) | 1.42958 | − | 0.520325i | 0.107759 | − | 0.0392210i | ||||
\(177\) | −14.8672 | + | 25.7507i | −1.11749 | + | 1.93554i | ||||
\(178\) | −2.42826 | + | 2.03755i | −0.182006 | + | 0.152721i | ||||
\(179\) | 3.69510 | 0.276185 | 0.138092 | − | 0.990419i | \(-0.455903\pi\) | ||||
0.138092 | + | 0.990419i | \(0.455903\pi\) | |||||||
\(180\) | −1.40402 | + | 1.17811i | −0.104650 | + | 0.0878115i | ||||
\(181\) | 11.4143 | + | 4.15448i | 0.848421 | + | 0.308800i | 0.729396 | − | 0.684091i | \(-0.239801\pi\) |
0.119024 | + | 0.992891i | \(0.462023\pi\) | |||||||
\(182\) | 0.268530 | + | 1.52291i | 0.0199047 | + | 0.112885i | ||||
\(183\) | 4.60150 | − | 26.0964i | 0.340153 | − | 1.92910i | ||||
\(184\) | 3.17534 | 0.234089 | ||||||||
\(185\) | 1.30528 | − | 5.94106i | 0.0959662 | − | 0.436796i | ||||
\(186\) | −8.61159 | −0.631433 | ||||||||
\(187\) | −0.965761 | + | 5.47710i | −0.0706234 | + | 0.400525i | ||||
\(188\) | −0.407291 | − | 2.30986i | −0.0297047 | − | 0.168464i | ||||
\(189\) | −8.82689 | − | 3.21272i | −0.642062 | − | 0.233691i | ||||
\(190\) | −1.23907 | + | 1.03970i | −0.0898915 | + | 0.0754279i | ||||
\(191\) | −8.26542 | −0.598065 | −0.299033 | − | 0.954243i | \(-0.596664\pi\) | ||||
−0.299033 | + | 0.954243i | \(0.596664\pi\) | |||||||
\(192\) | 1.68405 | − | 1.41308i | 0.121536 | − | 0.101981i | ||||
\(193\) | 10.1808 | − | 17.6336i | 0.732829 | − | 1.26930i | −0.222841 | − | 0.974855i | \(-0.571533\pi\) |
0.955669 | − | 0.294442i | \(-0.0951337\pi\) | |||||||
\(194\) | 13.5155 | − | 4.91925i | 0.970359 | − | 0.353182i | ||||
\(195\) | 0.464310 | + | 0.804209i | 0.0332499 | + | 0.0575906i | ||||
\(196\) | −3.20098 | + | 5.54426i | −0.228641 | + | 0.396018i | ||||
\(197\) | 1.01392 | − | 5.75022i | 0.0722387 | − | 0.409686i | −0.927149 | − | 0.374693i | \(-0.877748\pi\) |
0.999388 | − | 0.0349928i | \(-0.0111408\pi\) | |||||||
\(198\) | −2.62017 | − | 0.953662i | −0.186207 | − | 0.0677738i | ||||
\(199\) | 5.05362 | + | 8.75313i | 0.358242 | + | 0.620493i | 0.987667 | − | 0.156568i | \(-0.0500430\pi\) |
−0.629425 | + | 0.777061i | \(0.716710\pi\) | |||||||
\(200\) | −0.766044 | − | 0.642788i | −0.0541675 | − | 0.0454519i | ||||
\(201\) | −21.3121 | − | 17.8830i | −1.50324 | − | 1.26137i | ||||
\(202\) | −10.7025 | + | 3.89538i | −0.753022 | + | 0.274078i | ||||
\(203\) | −1.35904 | − | 7.70752i | −0.0953861 | − | 0.540962i | ||||
\(204\) | 1.39556 | + | 7.91459i | 0.0977084 | + | 0.554132i | ||||
\(205\) | 3.94285 | − | 1.43508i | 0.275381 | − | 0.100230i | ||||
\(206\) | 4.46205 | + | 3.74411i | 0.310886 | + | 0.260864i | ||||
\(207\) | −4.45825 | − | 3.74092i | −0.309870 | − | 0.260012i | ||||
\(208\) | −0.211207 | − | 0.365821i | −0.0146446 | − | 0.0253651i | ||||
\(209\) | −2.31233 | − | 0.841620i | −0.159947 | − | 0.0582161i | ||||
\(210\) | −1.39751 | + | 7.92567i | −0.0964373 | + | 0.546923i | ||||
\(211\) | 8.56783 | − | 14.8399i | 0.589834 | − | 1.02162i | −0.404420 | − | 0.914573i | \(-0.632527\pi\) |
0.994254 | − | 0.107049i | \(-0.0341401\pi\) | |||||||
\(212\) | −1.32906 | − | 2.30201i | −0.0912806 | − | 0.158103i | ||||
\(213\) | −33.3706 | + | 12.1459i | −2.28652 | + | 0.832224i | ||||
\(214\) | −2.35540 | + | 4.07966i | −0.161011 | + | 0.278880i | ||||
\(215\) | −0.815881 | + | 0.684606i | −0.0556426 | + | 0.0466897i | ||||
\(216\) | 2.56589 | 0.174587 | ||||||||
\(217\) | −10.9855 | + | 9.21796i | −0.745747 | + | 0.625756i | ||||
\(218\) | 0.913386 | + | 0.332445i | 0.0618623 | + | 0.0225160i | ||||
\(219\) | 4.50298 | + | 25.5377i | 0.304283 | + | 1.72567i | ||||
\(220\) | 0.264176 | − | 1.49822i | 0.0178107 | − | 0.101010i | ||||
\(221\) | 1.54424 | 0.103877 | ||||||||
\(222\) | 10.5934 | − | 8.16056i | 0.710981 | − | 0.547701i | ||||
\(223\) | −26.8907 | −1.80073 | −0.900366 | − | 0.435134i | \(-0.856701\pi\) | ||||
−0.900366 | + | 0.435134i | \(0.856701\pi\) | |||||||
\(224\) | 0.635703 | − | 3.60525i | 0.0424747 | − | 0.240886i | ||||
\(225\) | 0.318266 | + | 1.80498i | 0.0212177 | + | 0.120332i | ||||
\(226\) | −7.41623 | − | 2.69929i | −0.493321 | − | 0.179554i | ||||
\(227\) | 15.3463 | − | 12.8771i | 1.01857 | − | 0.854681i | 0.0291221 | − | 0.999576i | \(-0.490729\pi\) |
0.989447 | + | 0.144895i | \(0.0462844\pi\) | |||||||
\(228\) | −3.55584 | −0.235491 | ||||||||
\(229\) | 18.9495 | − | 15.9005i | 1.25222 | − | 1.05073i | 0.255749 | − | 0.966743i | \(-0.417678\pi\) |
0.996467 | − | 0.0839906i | \(-0.0267666\pi\) | |||||||
\(230\) | 1.58767 | − | 2.74993i | 0.104688 | − | 0.181325i | ||||
\(231\) | −11.5052 | + | 4.18754i | −0.756985 | + | 0.275520i | ||||
\(232\) | 1.06893 | + | 1.85144i | 0.0701786 | + | 0.121553i | ||||
\(233\) | −3.17546 | + | 5.50006i | −0.208031 | + | 0.360321i | −0.951094 | − | 0.308901i | \(-0.900039\pi\) |
0.743063 | + | 0.669222i | \(0.233372\pi\) | |||||||
\(234\) | −0.134440 | + | 0.762446i | −0.00878861 | + | 0.0498427i | ||||
\(235\) | −2.20404 | − | 0.802206i | −0.143776 | − | 0.0523301i | ||||
\(236\) | −6.76283 | − | 11.7136i | −0.440223 | − | 0.762489i | ||||
\(237\) | 3.74400 | + | 3.14159i | 0.243199 | + | 0.204068i | ||||
\(238\) | 10.2521 | + | 8.60257i | 0.664548 | + | 0.557622i | ||||
\(239\) | −12.0572 | + | 4.38845i | −0.779914 | + | 0.283865i | −0.701137 | − | 0.713027i | \(-0.747324\pi\) |
−0.0787770 | + | 0.996892i | \(0.525101\pi\) | |||||||
\(240\) | −0.381743 | − | 2.16497i | −0.0246414 | − | 0.139748i | ||||
\(241\) | −3.30959 | − | 18.7696i | −0.213189 | − | 1.20906i | −0.884021 | − | 0.467447i | \(-0.845174\pi\) |
0.670832 | − | 0.741609i | \(-0.265937\pi\) | |||||||
\(242\) | −8.16176 | + | 2.97064i | −0.524658 | + | 0.190960i | ||||
\(243\) | −12.8622 | − | 10.7927i | −0.825113 | − | 0.692352i | ||||
\(244\) | 9.23386 | + | 7.74812i | 0.591137 | + | 0.496023i | ||||
\(245\) | 3.20098 | + | 5.54426i | 0.204503 | + | 0.354210i | ||||
\(246\) | 8.66784 | + | 3.15484i | 0.552641 | + | 0.201145i | ||||
\(247\) | −0.118645 | + | 0.672869i | −0.00754920 | + | 0.0428136i | ||||
\(248\) | 1.95863 | − | 3.39245i | 0.124373 | − | 0.215421i | ||||
\(249\) | 14.2794 | + | 24.7327i | 0.904921 | + | 1.56737i | ||||
\(250\) | −0.939693 | + | 0.342020i | −0.0594314 | + | 0.0216313i | ||||
\(251\) | 13.2540 | − | 22.9565i | 0.836583 | − | 1.44900i | −0.0561519 | − | 0.998422i | \(-0.517883\pi\) |
0.892735 | − | 0.450582i | \(-0.148784\pi\) | |||||||
\(252\) | −5.13994 | + | 4.31292i | −0.323786 | + | 0.271689i | ||||
\(253\) | 4.83074 | 0.303706 | ||||||||
\(254\) | 1.93109 | − | 1.62038i | 0.121167 | − | 0.101672i | ||||
\(255\) | 7.55201 | + | 2.74871i | 0.472925 | + | 0.172131i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1.66726 | − | 9.45551i | 0.104001 | − | 0.589818i | −0.887614 | − | 0.460588i | \(-0.847638\pi\) |
0.991615 | − | 0.129230i | \(-0.0412505\pi\) | |||||||
\(258\) | −2.34139 | −0.145768 | ||||||||
\(259\) | 4.77846 | − | 21.7495i | 0.296919 | − | 1.35145i | ||||
\(260\) | −0.422413 | −0.0261970 | ||||||||
\(261\) | 0.680408 | − | 3.85878i | 0.0421162 | − | 0.238853i | ||||
\(262\) | 3.63492 | + | 20.6147i | 0.224566 | + | 1.27358i | ||||
\(263\) | −9.24331 | − | 3.36429i | −0.569967 | − | 0.207451i | 0.0409287 | − | 0.999162i | \(-0.486968\pi\) |
−0.610896 | + | 0.791711i | \(0.709191\pi\) | |||||||
\(264\) | 2.56199 | − | 2.14976i | 0.157680 | − | 0.132309i | ||||
\(265\) | −2.65813 | −0.163288 | ||||||||
\(266\) | −4.53607 | + | 3.80621i | −0.278124 | + | 0.233374i | ||||
\(267\) | −3.48427 | + | 6.03494i | −0.213234 | + | 0.369332i | ||||
\(268\) | 11.8921 | − | 4.32836i | 0.726425 | − | 0.264397i | ||||
\(269\) | 6.48109 | + | 11.2256i | 0.395159 | + | 0.684436i | 0.993121 | − | 0.117089i | \(-0.0373561\pi\) |
−0.597962 | + | 0.801524i | \(0.704023\pi\) | |||||||
\(270\) | 1.28294 | − | 2.22212i | 0.0780775 | − | 0.135234i | ||||
\(271\) | −0.255888 | + | 1.45121i | −0.0155441 | + | 0.0881548i | −0.991593 | − | 0.129397i | \(-0.958696\pi\) |
0.976049 | + | 0.217552i | \(0.0698070\pi\) | |||||||
\(272\) | −3.43528 | − | 1.25034i | −0.208295 | − | 0.0758130i | ||||
\(273\) | 1.69978 | + | 2.94410i | 0.102875 | + | 0.178185i | ||||
\(274\) | 10.3136 | + | 8.65410i | 0.623065 | + | 0.522813i | ||||
\(275\) | −1.16540 | − | 0.977891i | −0.0702766 | − | 0.0589690i | ||||
\(276\) | 6.55959 | − | 2.38750i | 0.394841 | − | 0.143710i | ||||
\(277\) | 4.86734 | + | 27.6041i | 0.292450 | + | 1.65857i | 0.677388 | + | 0.735626i | \(0.263112\pi\) |
−0.384938 | + | 0.922943i | \(0.625777\pi\) | |||||||
\(278\) | −0.258838 | − | 1.46794i | −0.0155241 | − | 0.0880414i | ||||
\(279\) | −6.74666 | + | 2.45559i | −0.403912 | + | 0.147012i | ||||
\(280\) | −2.80439 | − | 2.35316i | −0.167594 | − | 0.140628i | ||||
\(281\) | −7.88230 | − | 6.61404i | −0.470219 | − | 0.394560i | 0.376656 | − | 0.926353i | \(-0.377074\pi\) |
−0.846874 | + | 0.531793i | \(0.821518\pi\) | |||||||
\(282\) | −2.57813 | − | 4.46545i | −0.153525 | − | 0.265914i | ||||
\(283\) | 31.2403 | + | 11.3705i | 1.85704 | + | 0.675908i | 0.981103 | + | 0.193484i | \(0.0619789\pi\) |
0.875938 | + | 0.482423i | \(0.160243\pi\) | |||||||
\(284\) | 2.80510 | − | 15.9085i | 0.166452 | − | 0.943996i | ||||
\(285\) | −1.77792 | + | 3.07944i | −0.105315 | + | 0.182411i | ||||
\(286\) | −0.321315 | − | 0.556533i | −0.0189997 | − | 0.0329085i | ||||
\(287\) | 14.4343 | − | 5.25364i | 0.852028 | − | 0.310113i | ||||
\(288\) | 0.916411 | − | 1.58727i | 0.0540000 | − | 0.0935308i | ||||
\(289\) | −2.78495 | + | 2.33685i | −0.163821 | + | 0.137462i | ||||
\(290\) | 2.13786 | 0.125539 | ||||||||
\(291\) | 24.2215 | − | 20.3243i | 1.41989 | − | 1.19143i | ||||
\(292\) | −11.0845 | − | 4.03442i | −0.648670 | − | 0.236096i | ||||
\(293\) | 4.26594 | + | 24.1934i | 0.249219 | + | 1.41339i | 0.810487 | + | 0.585757i | \(0.199203\pi\) |
−0.561268 | + | 0.827634i | \(0.689686\pi\) | |||||||
\(294\) | −2.44390 | + | 13.8600i | −0.142531 | + | 0.808334i | ||||
\(295\) | −13.5257 | −0.787495 | ||||||||
\(296\) | 0.805400 | + | 6.02921i | 0.0468129 | + | 0.350441i | ||||
\(297\) | 3.90356 | 0.226507 | ||||||||
\(298\) | 2.59809 | − | 14.7345i | 0.150503 | − | 0.853546i | ||||
\(299\) | −0.232916 | − | 1.32093i | −0.0134699 | − | 0.0763914i | ||||
\(300\) | −2.06579 | − | 0.751886i | −0.119268 | − | 0.0434102i | ||||
\(301\) | −2.98683 | + | 2.50625i | −0.172158 | + | 0.144458i | ||||
\(302\) | 9.96803 | 0.573596 | ||||||||
\(303\) | −19.1802 | + | 16.0941i | −1.10187 | + | 0.924580i | ||||
\(304\) | 0.808745 | − | 1.40079i | 0.0463847 | − | 0.0803406i | ||||
\(305\) | 11.3270 | − | 4.12269i | 0.648582 | − | 0.236065i | ||||
\(306\) | 3.35017 | + | 5.80266i | 0.191516 | + | 0.331716i | ||||
\(307\) | 1.64958 | − | 2.85715i | 0.0941465 | − | 0.163066i | −0.815106 | − | 0.579312i | \(-0.803321\pi\) |
0.909252 | + | 0.416246i | \(0.136654\pi\) | |||||||
\(308\) | 0.967113 | − | 5.48477i | 0.0551064 | − | 0.312524i | ||||
\(309\) | 12.0328 | + | 4.37958i | 0.684523 | + | 0.249146i | ||||
\(310\) | −1.95863 | − | 3.39245i | −0.111243 | − | 0.192678i | ||||
\(311\) | 22.2513 | + | 18.6710i | 1.26175 | + | 1.05874i | 0.995493 | + | 0.0948366i | \(0.0302329\pi\) |
0.266261 | + | 0.963901i | \(0.414212\pi\) | |||||||
\(312\) | −0.711364 | − | 0.596906i | −0.0402731 | − | 0.0337931i | ||||
\(313\) | −13.2012 | + | 4.80483i | −0.746174 | + | 0.271585i | −0.686995 | − | 0.726662i | \(-0.741071\pi\) |
−0.0591791 | + | 0.998247i | \(0.518848\pi\) | |||||||
\(314\) | 1.45232 | + | 8.23650i | 0.0819590 | + | 0.464812i | ||||
\(315\) | 1.16513 | + | 6.60778i | 0.0656477 | + | 0.372306i | ||||
\(316\) | −2.08914 | + | 0.760384i | −0.117523 | + | 0.0427749i | ||||
\(317\) | 1.43671 | + | 1.20554i | 0.0806937 | + | 0.0677101i | 0.682242 | − | 0.731126i | \(-0.261005\pi\) |
−0.601549 | + | 0.798836i | \(0.705449\pi\) | |||||||
\(318\) | −4.47642 | − | 3.75616i | −0.251025 | − | 0.210635i | ||||
\(319\) | 1.62619 | + | 2.81665i | 0.0910493 | + | 0.157702i | ||||
\(320\) | 0.939693 | + | 0.342020i | 0.0525304 | + | 0.0191195i | ||||
\(321\) | −1.79831 | + | 10.1987i | −0.100372 | + | 0.569237i | ||||
\(322\) | 5.81226 | − | 10.0671i | 0.323904 | − | 0.561019i | ||||
\(323\) | 2.95657 | + | 5.12093i | 0.164508 | + | 0.284936i | ||||
\(324\) | 10.4675 | − | 3.80984i | 0.581525 | − | 0.211658i | ||||
\(325\) | −0.211207 | + | 0.365821i | −0.0117156 | + | 0.0202921i | ||||
\(326\) | 9.61747 | − | 8.07001i | 0.532662 | − | 0.446957i | ||||
\(327\) | 2.13682 | 0.118167 | ||||||||
\(328\) | −3.21424 | + | 2.69707i | −0.177477 | + | 0.148921i | ||||
\(329\) | −8.06871 | − | 2.93677i | −0.444842 | − | 0.161909i | ||||
\(330\) | −0.580756 | − | 3.29363i | −0.0319695 | − | 0.181308i | ||||
\(331\) | −2.37140 | + | 13.4489i | −0.130344 | + | 0.739218i | 0.847645 | + | 0.530563i | \(0.178020\pi\) |
−0.977989 | + | 0.208655i | \(0.933092\pi\) | |||||||
\(332\) | −12.9909 | −0.712969 | ||||||||
\(333\) | 5.97230 | − | 9.41400i | 0.327280 | − | 0.515884i | ||||
\(334\) | 3.00376 | 0.164358 | ||||||||
\(335\) | 2.19757 | − | 12.4630i | 0.120066 | − | 0.680928i | ||||
\(336\) | −1.39751 | − | 7.92567i | −0.0762404 | − | 0.432381i | ||||
\(337\) | −20.8652 | − | 7.59430i | −1.13660 | − | 0.413688i | −0.295915 | − | 0.955214i | \(-0.595624\pi\) |
−0.840684 | + | 0.541527i | \(0.817847\pi\) | |||||||
\(338\) | 9.82189 | − | 8.24154i | 0.534240 | − | 0.448281i | ||||
\(339\) | −17.3499 | −0.942319 | ||||||||
\(340\) | −2.80047 | + | 2.34987i | −0.151877 | + | 0.127440i | ||||
\(341\) | 2.97972 | − | 5.16103i | 0.161361 | − | 0.279486i | ||||
\(342\) | −2.78578 | + | 1.01394i | −0.150638 | + | 0.0548277i | ||||
\(343\) | −1.09468 | − | 1.89604i | −0.0591070 | − | 0.102376i | ||||
\(344\) | 0.532529 | − | 0.922367i | 0.0287120 | − | 0.0497307i | ||||
\(345\) | 1.21216 | − | 6.87452i | 0.0652607 | − | 0.370112i | ||||
\(346\) | −11.0652 | − | 4.02740i | −0.594869 | − | 0.216514i | ||||
\(347\) | 11.4115 | + | 19.7653i | 0.612601 | + | 1.06106i | 0.990800 | + | 0.135332i | \(0.0432102\pi\) |
−0.378199 | + | 0.925724i | \(0.623456\pi\) | |||||||
\(348\) | 3.60025 | + | 3.02097i | 0.192994 | + | 0.161941i | ||||
\(349\) | 4.21369 | + | 3.53570i | 0.225554 | + | 0.189262i | 0.748560 | − | 0.663067i | \(-0.230745\pi\) |
−0.523007 | + | 0.852328i | \(0.675190\pi\) | |||||||
\(350\) | −3.44009 | + | 1.25209i | −0.183881 | + | 0.0669271i | ||||
\(351\) | −0.188211 | − | 1.06740i | −0.0100460 | − | 0.0569736i | ||||
\(352\) | 0.264176 | + | 1.49822i | 0.0140806 | + | 0.0798552i | ||||
\(353\) | 1.73359 | − | 0.630977i | 0.0922699 | − | 0.0335835i | −0.295473 | − | 0.955351i | \(-0.595477\pi\) |
0.387743 | + | 0.921768i | \(0.373255\pi\) | |||||||
\(354\) | −22.7779 | − | 19.1129i | −1.21063 | − | 1.01584i | ||||
\(355\) | −12.3746 | − | 10.3835i | −0.656776 | − | 0.551101i | ||||
\(356\) | −1.58494 | − | 2.74519i | −0.0840014 | − | 0.145495i | ||||
\(357\) | 27.6469 | + | 10.0627i | 1.46323 | + | 0.532572i | ||||
\(358\) | −0.641647 | + | 3.63896i | −0.0339121 | + | 0.192325i | ||||
\(359\) | −4.97550 | + | 8.61782i | −0.262597 | + | 0.454831i | −0.966931 | − | 0.255037i | \(-0.917912\pi\) |
0.704334 | + | 0.709868i | \(0.251246\pi\) | |||||||
\(360\) | −0.916411 | − | 1.58727i | −0.0482991 | − | 0.0836565i | ||||
\(361\) | 15.3957 | − | 5.60357i | 0.810298 | − | 0.294924i | ||||
\(362\) | −6.07344 | + | 10.5195i | −0.319213 | + | 0.552893i | ||||
\(363\) | −14.6269 | + | 12.2734i | −0.767713 | + | 0.644188i | ||||
\(364\) | −1.54640 | −0.0810534 | ||||||||
\(365\) | −9.03614 | + | 7.58222i | −0.472973 | + | 0.396872i | ||||
\(366\) | 24.9009 | + | 9.06319i | 1.30159 | + | 0.473741i | ||||
\(367\) | 5.36011 | + | 30.3987i | 0.279795 | + | 1.58680i | 0.723305 | + | 0.690528i | \(0.242622\pi\) |
−0.443510 | + | 0.896269i | \(0.646267\pi\) | |||||||
\(368\) | −0.551393 | + | 3.12710i | −0.0287433 | + | 0.163012i | ||||
\(369\) | 7.69033 | 0.400343 | ||||||||
\(370\) | 5.62415 | + | 2.31711i | 0.292385 | + | 0.120461i | ||||
\(371\) | −9.73106 | −0.505212 | ||||||||
\(372\) | 1.49539 | − | 8.48076i | 0.0775322 | − | 0.439707i | ||||
\(373\) | 1.21019 | + | 6.86331i | 0.0626611 | + | 0.355369i | 0.999976 | + | 0.00688610i | \(0.00219193\pi\) |
−0.937315 | + | 0.348483i | \(0.886697\pi\) | |||||||
\(374\) | −5.22619 | − | 1.90218i | −0.270240 | − | 0.0983593i | ||||
\(375\) | −1.68405 | + | 1.41308i | −0.0869638 | + | 0.0729713i | ||||
\(376\) | 2.34549 | 0.120960 | ||||||||
\(377\) | 0.691784 | − | 0.580476i | 0.0356287 | − | 0.0298960i | ||||
\(378\) | 4.69669 | − | 8.13490i | 0.241572 | − | 0.418414i | ||||
\(379\) | −22.4525 | + | 8.17205i | −1.15331 | + | 0.419770i | −0.846703 | − | 0.532066i | \(-0.821416\pi\) |
−0.306606 | + | 0.951836i | \(0.599194\pi\) | |||||||
\(380\) | −0.808745 | − | 1.40079i | −0.0414877 | − | 0.0718588i | ||||
\(381\) | 2.77089 | − | 4.79932i | 0.141957 | − | 0.245877i | ||||
\(382\) | 1.43528 | − | 8.13985i | 0.0734351 | − | 0.416471i | ||||
\(383\) | 1.85800 | + | 0.676255i | 0.0949392 | + | 0.0345550i | 0.389053 | − | 0.921215i | \(-0.372802\pi\) |
−0.294114 | + | 0.955770i | \(0.595024\pi\) | |||||||
\(384\) | 1.09918 | + | 1.90384i | 0.0560925 | + | 0.0971551i | ||||
\(385\) | −4.26639 | − | 3.57993i | −0.217436 | − | 0.182450i | ||||
\(386\) | 15.5979 | + | 13.0882i | 0.793910 | + | 0.666170i | ||||
\(387\) | −1.83434 | + | 0.667644i | −0.0932446 | + | 0.0339382i | ||||
\(388\) | 2.49757 | + | 14.1644i | 0.126795 | + | 0.719089i | ||||
\(389\) | −5.79376 | − | 32.8581i | −0.293755 | − | 1.66597i | −0.672218 | − | 0.740353i | \(-0.734658\pi\) |
0.378463 | − | 0.925616i | \(-0.376453\pi\) | |||||||
\(390\) | −0.872617 | + | 0.317607i | −0.0441867 | + | 0.0160826i | ||||
\(391\) | −8.89244 | − | 7.46165i | −0.449710 | − | 0.377352i | ||||
\(392\) | −4.90418 | − | 4.11510i | −0.247699 | − | 0.207844i | ||||
\(393\) | 23.0089 | + | 39.8525i | 1.16064 | + | 2.01029i | ||||
\(394\) | 5.48679 | + | 1.99703i | 0.276421 | + | 0.100609i | ||||
\(395\) | −0.386057 | + | 2.18944i | −0.0194246 | + | 0.110163i | ||||
\(396\) | 1.39416 | − | 2.41476i | 0.0700592 | − | 0.121346i | ||||
\(397\) | 15.1943 | + | 26.3174i | 0.762582 | + | 1.32083i | 0.941516 | + | 0.336969i | \(0.109402\pi\) |
−0.178934 | + | 0.983861i | \(0.557265\pi\) | |||||||
\(398\) | −9.49771 | + | 3.45688i | −0.476077 | + | 0.173278i | ||||
\(399\) | −6.50872 | + | 11.2734i | −0.325844 | + | 0.564378i | ||||
\(400\) | 0.766044 | − | 0.642788i | 0.0383022 | − | 0.0321394i | ||||
\(401\) | 22.0012 | 1.09869 | 0.549343 | − | 0.835597i | \(-0.314878\pi\) | ||||
0.549343 | + | 0.835597i | \(0.314878\pi\) | |||||||
\(402\) | 21.3121 | − | 17.8830i | 1.06295 | − | 0.891922i | ||||
\(403\) | −1.55492 | − | 0.565943i | −0.0774558 | − | 0.0281916i | ||||
\(404\) | −1.97773 | − | 11.2163i | −0.0983960 | − | 0.558031i | ||||
\(405\) | 1.93431 | − | 10.9700i | 0.0961165 | − | 0.545104i | ||||
\(406\) | 7.82642 | 0.388419 | ||||||||
\(407\) | 1.22528 | + | 9.17240i | 0.0607348 | + | 0.454659i | ||||
\(408\) | −8.03668 | −0.397875 | ||||||||
\(409\) | 4.37133 | − | 24.7911i | 0.216148 | − | 1.22584i | −0.662754 | − | 0.748837i | \(-0.730612\pi\) |
0.878902 | − | 0.477002i | \(-0.158276\pi\) | |||||||
\(410\) | 0.728610 | + | 4.13215i | 0.0359835 | + | 0.204072i | ||||
\(411\) | 27.8125 | + | 10.1229i | 1.37189 | + | 0.499328i | ||||
\(412\) | −4.46205 | + | 3.74411i | −0.219830 | + | 0.184459i | ||||
\(413\) | −49.5157 | −2.43651 | ||||||||
\(414\) | 4.45825 | − | 3.74092i | 0.219111 | − | 0.183856i | ||||
\(415\) | −6.49546 | + | 11.2505i | −0.318850 | + | 0.552264i | ||||
\(416\) | 0.396939 | − | 0.144474i | 0.0194615 | − | 0.00708342i | ||||
\(417\) | −1.63843 | − | 2.83785i | −0.0802343 | − | 0.138970i | ||||
\(418\) | 1.23037 | − | 2.13106i | 0.0601792 | − | 0.104233i | ||||
\(419\) | −5.81810 | + | 32.9961i | −0.284233 | + | 1.61196i | 0.423780 | + | 0.905765i | \(0.360703\pi\) |
−0.708013 | + | 0.706200i | \(0.750408\pi\) | |||||||
\(420\) | −7.56259 | − | 2.75256i | −0.369016 | − | 0.134311i | ||||
\(421\) | −0.811520 | − | 1.40559i | −0.0395510 | − | 0.0685044i | 0.845572 | − | 0.533861i | \(-0.179259\pi\) |
−0.885123 | + | 0.465357i | \(0.845926\pi\) | |||||||
\(422\) | 13.1267 | + | 11.0146i | 0.638997 | + | 0.536182i | ||||
\(423\) | −3.29313 | − | 2.76326i | −0.160117 | − | 0.134354i | ||||
\(424\) | 2.49782 | − | 0.909134i | 0.121305 | − | 0.0441514i | ||||
\(425\) | 0.634814 | + | 3.60021i | 0.0307930 | + | 0.174636i | ||||
\(426\) | −6.16664 | − | 34.9727i | −0.298775 | − | 1.69443i | ||||
\(427\) | 41.4667 | − | 15.0926i | 2.00671 | − | 0.730384i | ||||
\(428\) | −3.60867 | − | 3.02804i | −0.174432 | − | 0.146366i | ||||
\(429\) | −1.08222 | − | 0.908089i | −0.0522500 | − | 0.0438430i | ||||
\(430\) | −0.532529 | − | 0.922367i | −0.0256808 | − | 0.0444805i | ||||
\(431\) | −11.1419 | − | 4.05531i | −0.536685 | − | 0.195337i | 0.0594357 | − | 0.998232i | \(-0.481070\pi\) |
−0.596121 | + | 0.802895i | \(0.703292\pi\) | |||||||
\(432\) | −0.445562 | + | 2.52691i | −0.0214371 | + | 0.121576i | ||||
\(433\) | −0.225709 | + | 0.390940i | −0.0108469 | + | 0.0187874i | −0.871398 | − | 0.490577i | \(-0.836786\pi\) |
0.860551 | + | 0.509364i | \(0.170119\pi\) | |||||||
\(434\) | −7.17030 | − | 12.4193i | −0.344185 | − | 0.596147i | ||||
\(435\) | 4.41637 | − | 1.60743i | 0.211749 | − | 0.0770702i | ||||
\(436\) | −0.486002 | + | 0.841781i | −0.0232753 | + | 0.0403140i | ||||
\(437\) | 3.93447 | − | 3.30141i | 0.188211 | − | 0.157928i | ||||
\(438\) | −25.9316 | −1.23906 | ||||||||
\(439\) | 10.9031 | − | 9.14880i | 0.520377 | − | 0.436648i | −0.344386 | − | 0.938828i | \(-0.611913\pi\) |
0.864763 | + | 0.502180i | \(0.167468\pi\) | |||||||
\(440\) | 1.42958 | + | 0.520325i | 0.0681526 | + | 0.0248055i | ||||
\(441\) | 2.03753 | + | 11.5554i | 0.0970250 | + | 0.550256i | ||||
\(442\) | −0.268154 | + | 1.52078i | −0.0127548 | + | 0.0723360i | ||||
\(443\) | −32.3338 | −1.53622 | −0.768112 | − | 0.640316i | \(-0.778804\pi\) | ||||
−0.768112 | + | 0.640316i | \(0.778804\pi\) | |||||||
\(444\) | 6.19706 | + | 11.8495i | 0.294100 | + | 0.562353i | ||||
\(445\) | −3.16987 | −0.150266 | ||||||||
\(446\) | 4.66951 | − | 26.4821i | 0.221108 | − | 1.25397i | ||||
\(447\) | −5.71156 | − | 32.3918i | −0.270147 | − | 1.53208i | ||||
\(448\) | 3.44009 | + | 1.25209i | 0.162529 | + | 0.0591557i | ||||
\(449\) | 8.59289 | − | 7.21029i | 0.405523 | − | 0.340274i | −0.417101 | − | 0.908860i | \(-0.636954\pi\) |
0.822624 | + | 0.568586i | \(0.192509\pi\) | |||||||
\(450\) | −1.83282 | −0.0864000 | ||||||||
\(451\) | −4.88992 | + | 4.10313i | −0.230257 | + | 0.193209i | ||||
\(452\) | 3.94610 | − | 6.83484i | 0.185609 | − | 0.321484i | ||||
\(453\) | 20.5919 | − | 7.49482i | 0.967490 | − | 0.352137i | ||||
\(454\) | 10.0166 | + | 17.3492i | 0.470101 | + | 0.814240i | ||||
\(455\) | −0.773200 | + | 1.33922i | −0.0362482 | + | 0.0627837i | ||||
\(456\) | 0.617465 | − | 3.50182i | 0.0289154 | − | 0.163988i | ||||
\(457\) | −7.27593 | − | 2.64822i | −0.340354 | − | 0.123879i | 0.166188 | − | 0.986094i | \(-0.446854\pi\) |
−0.506542 | + | 0.862215i | \(0.669076\pi\) | |||||||
\(458\) | 12.3684 | + | 21.4227i | 0.577937 | + | 1.00102i | ||||
\(459\) | −7.18568 | − | 6.02951i | −0.335399 | − | 0.281433i | ||||
\(460\) | 2.43245 | + | 2.04107i | 0.113414 | + | 0.0951654i | ||||
\(461\) | 31.4616 | − | 11.4511i | 1.46531 | − | 0.533330i | 0.518490 | − | 0.855084i | \(-0.326494\pi\) |
0.946824 | + | 0.321753i | \(0.104272\pi\) | |||||||
\(462\) | −2.12607 | − | 12.0575i | −0.0989137 | − | 0.560968i | ||||
\(463\) | 1.38675 | + | 7.86465i | 0.0644478 | + | 0.365501i | 0.999927 | + | 0.0121186i | \(0.00385756\pi\) |
−0.935479 | + | 0.353383i | \(0.885031\pi\) | |||||||
\(464\) | −2.00893 | + | 0.731191i | −0.0932622 | + | 0.0339447i | ||||
\(465\) | −6.59686 | − | 5.53543i | −0.305922 | − | 0.256699i | ||||
\(466\) | −4.86509 | − | 4.08230i | −0.225371 | − | 0.189109i | ||||
\(467\) | −12.3958 | − | 21.4701i | −0.573607 | − | 0.993517i | −0.996191 | − | 0.0871932i | \(-0.972210\pi\) |
0.422584 | − | 0.906324i | \(-0.361123\pi\) | |||||||
\(468\) | −0.727518 | − | 0.264795i | −0.0336295 | − | 0.0122401i | ||||
\(469\) | 8.04501 | − | 45.6255i | 0.371484 | − | 2.10679i | ||||
\(470\) | 1.17275 | − | 2.03126i | 0.0540948 | − | 0.0936949i | ||||
\(471\) | 9.19309 | + | 15.9229i | 0.423595 | + | 0.733688i | ||||
\(472\) | 12.7100 | − | 4.62605i | 0.585024 | − | 0.212931i | ||||
\(473\) | 0.810151 | − | 1.40322i | 0.0372508 | − | 0.0645202i | ||||
\(474\) | −3.74400 | + | 3.14159i | −0.171967 | + | 0.144298i | ||||
\(475\) | −1.61749 | −0.0742155 | ||||||||
\(476\) | −10.2521 | + | 8.60257i | −0.469906 | + | 0.394298i | ||||
\(477\) | −4.57807 | − | 1.66628i | −0.209615 | − | 0.0762937i | ||||
\(478\) | −2.22808 | − | 12.6360i | −0.101910 | − | 0.577959i | ||||
\(479\) | −2.86332 | + | 16.2387i | −0.130828 | + | 0.741964i | 0.846846 | + | 0.531838i | \(0.178499\pi\) |
−0.977674 | + | 0.210126i | \(0.932613\pi\) | |||||||
\(480\) | 2.19837 | 0.100341 | ||||||||
\(481\) | 2.44905 | − | 0.777294i | 0.111667 | − | 0.0354415i | ||||
\(482\) | 19.0591 | 0.868120 | ||||||||
\(483\) | 4.43757 | − | 25.1667i | 0.201917 | − | 1.14513i | ||||
\(484\) | −1.50823 | − | 8.55361i | −0.0685560 | − | 0.388800i | ||||
\(485\) | 13.5155 | + | 4.91925i | 0.613709 | + | 0.223372i | ||||
\(486\) | 12.8622 | − | 10.7927i | 0.583443 | − | 0.489567i | ||||
\(487\) | 6.21076 | 0.281436 | 0.140718 | − | 0.990050i | \(-0.455059\pi\) | ||||
0.140718 | + | 0.990050i | \(0.455059\pi\) | |||||||
\(488\) | −9.23386 | + | 7.74812i | −0.417997 | + | 0.350741i | ||||
\(489\) | 13.7999 | − | 23.9022i | 0.624055 | − | 1.08089i | ||||
\(490\) | −6.01587 | + | 2.18960i | −0.271769 | + | 0.0989160i | ||||
\(491\) | 10.2832 | + | 17.8110i | 0.464074 | + | 0.803800i | 0.999159 | − | 0.0409980i | \(-0.0130537\pi\) |
−0.535085 | + | 0.844798i | \(0.679720\pi\) | |||||||
\(492\) | −4.61206 | + | 7.98833i | −0.207928 | + | 0.360142i | ||||
\(493\) | 1.35714 | − | 7.69674i | 0.0611226 | − | 0.346644i | ||||
\(494\) | −0.642044 | − | 0.233685i | −0.0288869 | − | 0.0105140i | ||||
\(495\) | −1.39416 | − | 2.41476i | −0.0626629 | − | 0.108535i | ||||
\(496\) | 3.00080 | + | 2.51797i | 0.134740 | + | 0.113060i | ||||
\(497\) | −45.3018 | − | 38.0128i | −2.03207 | − | 1.70511i | ||||
\(498\) | −26.8365 | + | 9.76769i | −1.20257 | + | 0.437701i | ||||
\(499\) | 1.38131 | + | 7.83381i | 0.0618360 | + | 0.350690i | 0.999990 | + | 0.00447124i | \(0.00142325\pi\) |
−0.938154 | + | 0.346218i | \(0.887466\pi\) | |||||||
\(500\) | −0.173648 | − | 0.984808i | −0.00776578 | − | 0.0440419i | ||||
\(501\) | 6.20514 | − | 2.25849i | 0.277225 | − | 0.100902i | ||||
\(502\) | 20.3063 | + | 17.0390i | 0.906313 | + | 0.760487i | ||||
\(503\) | −10.4804 | − | 8.79406i | −0.467296 | − | 0.392108i | 0.378511 | − | 0.925597i | \(-0.376436\pi\) |
−0.845807 | + | 0.533489i | \(0.820881\pi\) | |||||||
\(504\) | −3.35486 | − | 5.81079i | −0.149437 | − | 0.258833i | ||||
\(505\) | −10.7025 | − | 3.89538i | −0.476253 | − | 0.173342i | ||||
\(506\) | −0.838849 | + | 4.75735i | −0.0372914 | + | 0.211490i | ||||
\(507\) | 14.0933 | − | 24.4102i | 0.625904 | − | 1.08410i | ||||
\(508\) | 1.26043 | + | 2.18313i | 0.0559225 | + | 0.0968607i | ||||
\(509\) | −36.8225 | + | 13.4023i | −1.63213 | + | 0.594047i | −0.985638 | − | 0.168873i | \(-0.945987\pi\) |
−0.646493 | + | 0.762920i | \(0.723765\pi\) | |||||||
\(510\) | −4.01834 | + | 6.95997i | −0.177935 | + | 0.308193i | ||||
\(511\) | −33.0801 | + | 27.7575i | −1.46338 | + | 1.22792i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 3.17931 | − | 2.66776i | 0.140370 | − | 0.117784i | ||||
\(514\) | 9.02234 | + | 3.28386i | 0.397958 | + | 0.144845i | ||||
\(515\) | 1.01147 | + | 5.73631i | 0.0445705 | + | 0.252772i | ||||
\(516\) | 0.406578 | − | 2.30582i | 0.0178986 | − | 0.101508i | ||||
\(517\) | 3.56826 | 0.156932 | ||||||||
\(518\) | 20.5893 | + | 8.48262i | 0.904640 | + | 0.372705i | ||||
\(519\) | −25.8865 | −1.13629 | ||||||||
\(520\) | 0.0733513 | − | 0.415996i | 0.00321667 | − | 0.0182426i | ||||
\(521\) | 4.21192 | + | 23.8870i | 0.184527 | + | 1.04651i | 0.926561 | + | 0.376144i | \(0.122750\pi\) |
−0.742034 | + | 0.670363i | \(0.766139\pi\) | |||||||
\(522\) | 3.68201 | + | 1.34014i | 0.161157 | + | 0.0586564i | ||||
\(523\) | −21.4648 | + | 18.0111i | −0.938590 | + | 0.787570i | −0.977339 | − | 0.211679i | \(-0.932107\pi\) |
0.0387495 | + | 0.999249i | \(0.487663\pi\) | |||||||
\(524\) | −20.9327 | −0.914448 | ||||||||
\(525\) | −6.16508 | + | 5.17311i | −0.269066 | + | 0.225773i | ||||
\(526\) | 4.91826 | − | 8.51868i | 0.214447 | − | 0.371432i | ||||
\(527\) | −13.4569 | + | 4.89792i | −0.586192 | + | 0.213357i | ||||
\(528\) | 1.67222 | + | 2.89637i | 0.0727740 | + | 0.126048i | ||||
\(529\) | 6.45860 | − | 11.1866i | 0.280809 | − | 0.486375i | ||||
\(530\) | 0.461579 | − | 2.61775i | 0.0200497 | − | 0.113708i | ||||
\(531\) | −23.2951 | − | 8.47872i | −1.01092 | − | 0.367945i | ||||
\(532\) | −2.96071 | − | 5.12810i | −0.128363 | − | 0.222331i | ||||
\(533\) | 1.35774 | + | 1.13928i | 0.0588102 | + | 0.0493476i | ||||
\(534\) | −5.33821 | − | 4.47929i | −0.231007 | − | 0.193838i | ||||
\(535\) | −4.42669 | + | 1.61119i | −0.191383 | + | 0.0696576i | ||||
\(536\) | 2.19757 | + | 12.4630i | 0.0949205 | + | 0.538321i | ||||
\(537\) | 1.41058 | + | 7.99977i | 0.0608708 | + | 0.345216i | ||||
\(538\) | −12.1805 | + | 4.43333i | −0.525137 | + | 0.191134i | ||||
\(539\) | −7.46087 | − | 6.26042i | −0.321363 | − | 0.269655i | ||||
\(540\) | 1.96558 | + | 1.64932i | 0.0845853 | + | 0.0709755i | ||||
\(541\) | −11.4683 | − | 19.8636i | −0.493060 | − | 0.854005i | 0.506908 | − | 0.862000i | \(-0.330788\pi\) |
−0.999968 | + | 0.00799519i | \(0.997455\pi\) | |||||||
\(542\) | −1.38473 | − | 0.504000i | −0.0594792 | − | 0.0216487i | ||||
\(543\) | −4.63698 | + | 26.2976i | −0.198992 | + | 1.12854i | ||||
\(544\) | 1.82787 | − | 3.16597i | 0.0783695 | − | 0.135740i | ||||
\(545\) | 0.486002 | + | 0.841781i | 0.0208181 | + | 0.0360579i | ||||
\(546\) | −3.19454 | + | 1.16272i | −0.136714 | + | 0.0497597i | ||||
\(547\) | −15.6882 | + | 27.1728i | −0.670779 | + | 1.16182i | 0.306905 | + | 0.951740i | \(0.400707\pi\) |
−0.977684 | + | 0.210083i | \(0.932627\pi\) | |||||||
\(548\) | −10.3136 | + | 8.65410i | −0.440573 | + | 0.369685i | ||||
\(549\) | 22.0927 | 0.942894 | ||||||||
\(550\) | 1.16540 | − | 0.977891i | 0.0496930 | − | 0.0416974i | ||||
\(551\) | 3.24942 | + | 1.18269i | 0.138430 | + | 0.0503844i | ||||
\(552\) | 1.21216 | + | 6.87452i | 0.0515931 | + | 0.292599i | ||||
\(553\) | −1.41330 | + | 8.01524i | −0.0600998 | + | 0.340843i | ||||
\(554\) | −28.0299 | −1.19088 | ||||||||
\(555\) | 13.3605 | + | 0.557937i | 0.567122 | + | 0.0236831i | ||||
\(556\) | 1.49059 | 0.0632150 | ||||||||
\(557\) | −0.0936074 | + | 0.530874i | −0.00396627 | + | 0.0224939i | −0.986727 | − | 0.162390i | \(-0.948080\pi\) |
0.982760 | + | 0.184884i | \(0.0591909\pi\) | |||||||
\(558\) | −1.24673 | − | 7.07058i | −0.0527784 | − | 0.299321i | ||||
\(559\) | −0.422763 | − | 0.153873i | −0.0178810 | − | 0.00650813i | ||||
\(560\) | 2.80439 | − | 2.35316i | 0.118507 | − | 0.0994392i | ||||
\(561\) | −12.2264 | −0.516200 | ||||||||
\(562\) | 7.88230 | − | 6.61404i | 0.332495 | − | 0.278996i | ||||
\(563\) | 18.6099 | − | 32.2332i | 0.784312 | − | 1.35847i | −0.145097 | − | 0.989417i | \(-0.546350\pi\) |
0.929409 | − | 0.369051i | \(-0.120317\pi\) | |||||||
\(564\) | 4.84530 | − | 1.76354i | 0.204024 | − | 0.0742586i | ||||
\(565\) | −3.94610 | − | 6.83484i | −0.166013 | − | 0.287544i | ||||
\(566\) | −16.6226 | + | 28.7912i | −0.698700 | + | 1.21018i | ||||
\(567\) | 7.08124 | − | 40.1597i | 0.297384 | − | 1.68655i | ||||
\(568\) | 15.1797 | + | 5.52496i | 0.636927 | + | 0.231822i | ||||
\(569\) | 5.11977 | + | 8.86771i | 0.214632 | + | 0.371754i | 0.953159 | − | 0.302471i | \(-0.0978114\pi\) |
−0.738527 | + | 0.674224i | \(0.764478\pi\) | |||||||
\(570\) | −2.72393 | − | 2.28565i | −0.114093 | − | 0.0957352i | ||||
\(571\) | 32.9612 | + | 27.6578i | 1.37938 | + | 1.15744i | 0.969439 | + | 0.245331i | \(0.0788967\pi\) |
0.409945 | + | 0.912110i | \(0.365548\pi\) | |||||||
\(572\) | 0.603874 | − | 0.219792i | 0.0252492 | − | 0.00918997i | ||||
\(573\) | −3.15526 | − | 17.8944i | −0.131813 | − | 0.747549i | ||||
\(574\) | 2.66734 | + | 15.1273i | 0.111333 | + | 0.631400i | ||||
\(575\) | 2.98385 | − | 1.08603i | 0.124435 | − | 0.0452906i | ||||
\(576\) | 1.40402 | + | 1.17811i | 0.0585009 | + | 0.0490881i | ||||
\(577\) | −26.5217 | − | 22.2544i | −1.10411 | − | 0.926462i | −0.106419 | − | 0.994321i | \(-0.533939\pi\) |
−0.997695 | + | 0.0678595i | \(0.978383\pi\) | |||||||
\(578\) | −1.81775 | − | 3.14843i | −0.0756083 | − | 0.130957i | ||||
\(579\) | 42.0627 | + | 15.3096i | 1.74807 | + | 0.636244i | ||||
\(580\) | −0.371235 | + | 2.10538i | −0.0154147 | + | 0.0874211i | ||||
\(581\) | −23.7790 | + | 41.1865i | −0.986520 | + | 1.70870i | ||||
\(582\) | 15.8095 | + | 27.3828i | 0.655324 | + | 1.13505i | ||||
\(583\) | 3.80001 | − | 1.38309i | 0.157380 | − | 0.0572818i | ||||
\(584\) | 5.89792 | − | 10.2155i | 0.244058 | − | 0.422721i | ||||
\(585\) | −0.593078 | + | 0.497652i | −0.0245208 | + | 0.0205754i | ||||
\(586\) | −24.5666 | −1.01484 | ||||||||
\(587\) | −25.1954 | + | 21.1414i | −1.03993 | + | 0.872601i | −0.991998 | − | 0.126250i | \(-0.959706\pi\) |
−0.0479267 | + | 0.998851i | \(0.515261\pi\) | |||||||
\(588\) | −13.2251 | − | 4.81354i | −0.545394 | − | 0.198507i | ||||
\(589\) | −1.10026 | − | 6.23988i | −0.0453354 | − | 0.257110i | ||||
\(590\) | 2.34871 | − | 13.3202i | 0.0966948 | − | 0.548383i | ||||
\(591\) | 12.8361 | 0.528007 | ||||||||
\(592\) | −6.07747 | − | 0.253796i | −0.249782 | − | 0.0104310i | ||||
\(593\) | −30.3849 | −1.24776 | −0.623878 | − | 0.781521i | \(-0.714444\pi\) | ||||
−0.623878 | + | 0.781521i | \(0.714444\pi\) | |||||||
\(594\) | −0.677846 | + | 3.84425i | −0.0278123 | + | 0.157732i | ||||
\(595\) | 2.32397 | + | 13.1799i | 0.0952735 | + | 0.540323i | ||||
\(596\) | 14.0595 | + | 5.11724i | 0.575899 | + | 0.209610i | ||||
\(597\) | −17.0211 | + | 14.2824i | −0.696627 | + | 0.584539i | ||||
\(598\) | 1.34131 | 0.0548502 | ||||||||
\(599\) | −24.9091 | + | 20.9012i | −1.01776 | + | 0.854000i | −0.989344 | − | 0.145596i | \(-0.953490\pi\) |
−0.0284138 | + | 0.999596i | \(0.509046\pi\) | |||||||
\(600\) | 1.09918 | − | 1.90384i | 0.0448740 | − | 0.0777240i | ||||
\(601\) | −23.1059 | + | 8.40986i | −0.942509 | + | 0.343045i | −0.767156 | − | 0.641460i | \(-0.778329\pi\) |
−0.175353 | + | 0.984506i | \(0.556107\pi\) | |||||||
\(602\) | −1.94952 | − | 3.37666i | −0.0794564 | − | 0.137623i | ||||
\(603\) | 11.5974 | − | 20.0874i | 0.472284 | − | 0.818021i | ||||
\(604\) | −1.73093 | + | 9.81659i | −0.0704305 | + | 0.399431i | ||||
\(605\) | −8.16176 | − | 2.97064i | −0.331823 | − | 0.120774i | ||||
\(606\) | −12.5190 | − | 21.6835i | −0.508548 | − | 0.880831i | ||||
\(607\) | −16.2047 | − | 13.5974i | −0.657730 | − | 0.551901i | 0.251675 | − | 0.967812i | \(-0.419019\pi\) |
−0.909406 | + | 0.415910i | \(0.863463\pi\) | |||||||
\(608\) | 1.23907 | + | 1.03970i | 0.0502509 | + | 0.0421655i | ||||
\(609\) | 16.1677 | − | 5.88457i | 0.655150 | − | 0.238455i | ||||
\(610\) | 2.09315 | + | 11.8708i | 0.0847490 | + | 0.480635i | ||||
\(611\) | −0.172045 | − | 0.975716i | −0.00696020 | − | 0.0394732i | ||||
\(612\) | −6.29626 | + | 2.29165i | −0.254511 | + | 0.0926345i | ||||
\(613\) | −14.5146 | − | 12.1792i | −0.586240 | − | 0.491913i | 0.300750 | − | 0.953703i | \(-0.402763\pi\) |
−0.886989 | + | 0.461790i | \(0.847208\pi\) | |||||||
\(614\) | 2.52730 | + | 2.12066i | 0.101994 | + | 0.0855828i | ||||
\(615\) | 4.61206 | + | 7.98833i | 0.185976 | + | 0.322120i | ||||
\(616\) | 5.23351 | + | 1.90484i | 0.210864 | + | 0.0767482i | ||||
\(617\) | 2.65957 | − | 15.0832i | 0.107070 | − | 0.607225i | −0.883303 | − | 0.468802i | \(-0.844686\pi\) |
0.990373 | − | 0.138423i | \(-0.0442032\pi\) | |||||||
\(618\) | −6.40252 | + | 11.0895i | −0.257547 | + | 0.446085i | ||||
\(619\) | −0.577898 | − | 1.00095i | −0.0232277 | − | 0.0402316i | 0.854178 | − | 0.519981i | \(-0.174061\pi\) |
−0.877406 | + | 0.479749i | \(0.840728\pi\) | |||||||
\(620\) | 3.68103 | − | 1.33978i | 0.147834 | − | 0.0538070i | ||||
\(621\) | −4.07379 | + | 7.05601i | −0.163475 | + | 0.283148i | ||||
\(622\) | −22.2513 | + | 18.6710i | −0.892195 | + | 0.748640i | ||||
\(623\) | −11.6045 | −0.464924 | ||||||||
\(624\) | 0.711364 | − | 0.596906i | 0.0284774 | − | 0.0238953i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | −2.43948 | − | 13.8350i | −0.0975011 | − | 0.552956i | ||||
\(627\) | 0.939366 | − | 5.32741i | 0.0375147 | − | 0.212756i | ||||
\(628\) | −8.36356 | −0.333742 | ||||||||
\(629\) | 11.9124 | − | 18.7772i | 0.474977 | − | 0.748695i | ||||
\(630\) | −6.70972 | −0.267322 | ||||||||
\(631\) | 4.19876 | − | 23.8124i | 0.167150 | − | 0.947955i | −0.779670 | − | 0.626191i | \(-0.784613\pi\) |
0.946820 | − | 0.321764i | \(-0.104276\pi\) | |||||||
\(632\) | −0.386057 | − | 2.18944i | −0.0153565 | − | 0.0870911i | ||||
\(633\) | 35.3987 | + | 12.8841i | 1.40697 | + | 0.512096i | ||||
\(634\) | −1.43671 | + | 1.20554i | −0.0570591 | + | 0.0478783i | ||||
\(635\) | 2.52086 | 0.100037 | ||||||||
\(636\) | 4.47642 | − | 3.75616i | 0.177501 | − | 0.148941i | ||||
\(637\) | −1.35214 | + | 2.34197i | −0.0535736 | + | 0.0927922i | ||||
\(638\) | −3.05624 | + | 1.11238i | −0.120998 | + | 0.0440396i | ||||
\(639\) | −14.8036 | − | 25.6406i | −0.585622 | − | 1.01433i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | 0.0931463 | − | 0.528259i | 0.00367906 | − | 0.0208650i | −0.982913 | − | 0.184071i | \(-0.941072\pi\) |
0.986592 | + | 0.163206i | \(0.0521835\pi\) | |||||||
\(642\) | −9.73150 | − | 3.54198i | −0.384072 | − | 0.139791i | ||||
\(643\) | 17.3974 | + | 30.1332i | 0.686087 | + | 1.18834i | 0.973094 | + | 0.230409i | \(0.0740064\pi\) |
−0.287007 | + | 0.957929i | \(0.592660\pi\) | |||||||
\(644\) | 8.90489 | + | 7.47209i | 0.350902 | + | 0.294442i | ||||
\(645\) | −1.79361 | − | 1.50502i | −0.0706232 | − | 0.0592599i | ||||
\(646\) | −5.55653 | + | 2.02241i | −0.218619 | + | 0.0795707i | ||||
\(647\) | −2.80043 | − | 15.8820i | −0.110096 | − | 0.624387i | −0.989062 | − | 0.147502i | \(-0.952877\pi\) |
0.878966 | − | 0.476885i | \(-0.158234\pi\) | |||||||
\(648\) | 1.93431 | + | 10.9700i | 0.0759868 | + | 0.430942i | ||||
\(649\) | 19.3360 | − | 7.03774i | 0.759006 | − | 0.276255i | ||||
\(650\) | −0.323587 | − | 0.271522i | −0.0126921 | − | 0.0106500i | ||||
\(651\) | −24.1502 | − | 20.2645i | −0.946523 | − | 0.794227i | ||||
\(652\) | 6.27736 | + | 10.8727i | 0.245840 | + | 0.425808i | ||||
\(653\) | −29.0127 | − | 10.5598i | −1.13535 | − | 0.413235i | −0.295121 | − | 0.955460i | \(-0.595360\pi\) |
−0.840233 | + | 0.542225i | \(0.817582\pi\) | |||||||
\(654\) | −0.371056 | + | 2.10436i | −0.0145094 | + | 0.0822870i | ||||
\(655\) | −10.4663 | + | 18.1282i | −0.408954 | + | 0.708329i | ||||
\(656\) | −2.09795 | − | 3.63375i | −0.0819111 | − | 0.141874i | ||||
\(657\) | −20.3159 | + | 7.39437i | −0.792597 | + | 0.288482i | ||||
\(658\) | 4.29327 | − | 7.43616i | 0.167369 | − | 0.289892i | ||||
\(659\) | −8.51746 | + | 7.14700i | −0.331793 | + | 0.278407i | −0.793430 | − | 0.608662i | \(-0.791707\pi\) |
0.461637 | + | 0.887069i | \(0.347262\pi\) | |||||||
\(660\) | 3.34444 | 0.130182 | ||||||||
\(661\) | 22.9362 | − | 19.2457i | 0.892114 | − | 0.748572i | −0.0765192 | − | 0.997068i | \(-0.524381\pi\) |
0.968633 | + | 0.248496i | \(0.0799362\pi\) | |||||||
\(662\) | −12.8328 | − | 4.67075i | −0.498760 | − | 0.181534i | ||||
\(663\) | 0.589501 | + | 3.34323i | 0.0228943 | + | 0.129840i | ||||
\(664\) | 2.25585 | − | 12.7936i | 0.0875439 | − | 0.496486i | ||||
\(665\) | −5.92142 | −0.229623 | ||||||||
\(666\) | 8.23390 | + | 7.51629i | 0.319057 | + | 0.291250i | ||||
\(667\) | −6.78843 | −0.262849 | ||||||||
\(668\) | −0.521597 | + | 2.95813i | −0.0201812 | + | 0.114453i | ||||
\(669\) | −10.2653 | − | 58.2175i | −0.396880 | − | 2.25082i | ||||
\(670\) | 11.8921 | + | 4.32836i | 0.459431 | + | 0.167219i | ||||
\(671\) | −14.0477 | + | 11.7874i | −0.542306 | + | 0.455049i | ||||
\(672\) | 8.04794 | 0.310456 | ||||||||
\(673\) | 13.2758 | − | 11.1397i | 0.511745 | − | 0.429405i | −0.349998 | − | 0.936750i | \(-0.613818\pi\) |
0.861743 | + | 0.507346i | \(0.169373\pi\) | |||||||
\(674\) | 11.1021 | − | 19.2294i | 0.427638 | − | 0.740690i | ||||
\(675\) | 2.41115 | − | 0.877585i | 0.0928051 | − | 0.0337783i | ||||
\(676\) | 6.41078 | + | 11.1038i | 0.246569 | + | 0.427069i | ||||
\(677\) | 23.4313 | − | 40.5842i | 0.900538 | − | 1.55978i | 0.0737403 | − | 0.997277i | \(-0.476506\pi\) |
0.826798 | − | 0.562500i | \(-0.190160\pi\) | |||||||
\(678\) | 3.01279 | − | 17.0864i | 0.115705 | − | 0.656198i | ||||
\(679\) | 49.4786 | + | 18.0087i | 1.89881 | + | 0.691112i | ||||
\(680\) | −1.82787 | − | 3.16597i | −0.0700958 | − | 0.121409i | ||||
\(681\) | 33.7368 | + | 28.3085i | 1.29280 | + | 1.08479i | ||||
\(682\) | 4.56520 | + | 3.83066i | 0.174811 | + | 0.146684i | ||||
\(683\) | 32.9556 | − | 11.9949i | 1.26101 | − | 0.458970i | 0.376903 | − | 0.926253i | \(-0.376989\pi\) |
0.884108 | + | 0.467282i | \(0.154767\pi\) | |||||||
\(684\) | −0.514792 | − | 2.91953i | −0.0196836 | − | 0.111631i | ||||
\(685\) | 2.33789 | + | 13.2589i | 0.0893263 | + | 0.506595i | ||||
\(686\) | 2.05732 | − | 0.748804i | 0.0785489 | − | 0.0285895i | ||||
\(687\) | 41.6579 | + | 34.9551i | 1.58935 | + | 1.33362i | ||||
\(688\) | 0.815881 | + | 0.684606i | 0.0311052 | + | 0.0261003i | ||||
\(689\) | −0.561415 | − | 0.972399i | −0.0213882 | − | 0.0370455i | ||||
\(690\) | 6.55959 | + | 2.38750i | 0.249719 | + | 0.0908904i | ||||
\(691\) | −0.446075 | + | 2.52982i | −0.0169695 | + | 0.0962387i | −0.992116 | − | 0.125321i | \(-0.960004\pi\) |
0.975147 | + | 0.221560i | \(0.0711149\pi\) | |||||||
\(692\) | 5.88767 | − | 10.1977i | 0.223816 | − | 0.387660i | ||||
\(693\) | −5.10384 | − | 8.84011i | −0.193879 | − | 0.335808i | ||||
\(694\) | −21.4466 | + | 7.80593i | −0.814102 | + | 0.296309i | ||||
\(695\) | 0.745294 | − | 1.29089i | 0.0282706 | − | 0.0489662i | ||||
\(696\) | −3.60025 | + | 3.02097i | −0.136467 | + | 0.114510i | ||||
\(697\) | 15.3391 | 0.581012 | ||||||||
\(698\) | −4.21369 | + | 3.53570i | −0.159490 | + | 0.133828i | ||||
\(699\) | −13.1197 | − | 4.77517i | −0.496232 | − | 0.180614i | ||||
\(700\) | −0.635703 | − | 3.60525i | −0.0240273 | − | 0.136266i | ||||
\(701\) | −2.11891 | + | 12.0169i | −0.0800302 | + | 0.453874i | 0.918289 | + | 0.395912i | \(0.129571\pi\) |
−0.998319 | + | 0.0579622i | \(0.981540\pi\) | |||||||
\(702\) | 1.08387 | 0.0409079 | ||||||||
\(703\) | 7.26652 | + | 6.63322i | 0.274062 | + | 0.250177i | ||||
\(704\) | −1.52133 | −0.0573372 | ||||||||
\(705\) | 0.895375 | − | 5.07792i | 0.0337218 | − | 0.191246i | ||||
\(706\) | 0.320355 | + | 1.81682i | 0.0120567 | + | 0.0683771i | ||||
\(707\) | −39.1803 | − | 14.2605i | −1.47353 | − | 0.536320i | ||||
\(708\) | 22.7779 | − | 19.1129i | 0.856045 | − | 0.718307i | ||||
\(709\) | 16.1474 | 0.606430 | 0.303215 | − | 0.952922i | \(-0.401940\pi\) | ||||
0.303215 | + | 0.952922i | \(0.401940\pi\) | |||||||
\(710\) | 12.3746 | − | 10.3835i | 0.464411 | − | 0.389687i | ||||
\(711\) | −2.03738 | + | 3.52884i | −0.0764076 | + | 0.132342i | ||||
\(712\) | 2.97871 | − | 1.08416i | 0.111632 | − | 0.0406306i | ||||
\(713\) | 6.21933 | + | 10.7722i | 0.232916 | + | 0.403422i | ||||
\(714\) | −14.7106 | + | 25.4795i | −0.550531 | + | 0.953548i | ||||
\(715\) | 0.111591 | − | 0.632866i | 0.00417328 | − | 0.0236679i | ||||
\(716\) | −3.47226 | − | 1.26380i | −0.129764 | − | 0.0472303i | ||||
\(717\) | −14.1036 | − | 24.4282i | −0.526709 | − | 0.912286i | ||||
\(718\) | −7.62291 | − | 6.39638i | −0.284484 | − | 0.238711i | ||||
\(719\) | 20.8221 | + | 17.4718i | 0.776533 | + | 0.651589i | 0.942373 | − | 0.334564i | \(-0.108589\pi\) |
−0.165840 | + | 0.986153i | \(0.553034\pi\) | |||||||
\(720\) | 1.72229 | − | 0.626862i | 0.0641859 | − | 0.0233618i | ||||
\(721\) | 3.70284 | + | 20.9999i | 0.137901 | + | 0.782076i | ||||
\(722\) | 2.84500 | + | 16.1348i | 0.105880 | + | 0.600476i | ||||
\(723\) | 39.3722 | − | 14.3303i | 1.46427 | − | 0.532950i | ||||
\(724\) | −9.30505 | − | 7.80786i | −0.345819 | − | 0.290177i | ||||
\(725\) | 1.63769 | + | 1.37419i | 0.0608224 | + | 0.0510361i | ||||
\(726\) | −9.54703 | − | 16.5359i | −0.354323 | − | 0.613706i | ||||
\(727\) | 11.7709 | + | 4.28425i | 0.436558 | + | 0.158894i | 0.550944 | − | 0.834542i | \(-0.314268\pi\) |
−0.114386 | + | 0.993436i | \(0.536490\pi\) | |||||||
\(728\) | 0.268530 | − | 1.52291i | 0.00995237 | − | 0.0564427i | ||||
\(729\) | 1.74696 | − | 3.02582i | 0.0647022 | − | 0.112068i | ||||
\(730\) | −5.89792 | − | 10.2155i | −0.218292 | − | 0.378093i | ||||
\(731\) | −3.65877 | + | 1.33168i | −0.135325 | + | 0.0492541i | ||||
\(732\) | −13.2495 | + | 22.9488i | −0.489716 | + | 0.848212i | ||||
\(733\) | 19.0358 | − | 15.9729i | 0.703103 | − | 0.589973i | −0.219552 | − | 0.975601i | \(-0.570459\pi\) |
0.922655 | + | 0.385628i | \(0.126015\pi\) | |||||||
\(734\) | −30.8676 | −1.13934 | ||||||||
\(735\) | −10.7812 | + | 9.04650i | −0.397671 | + | 0.333685i | ||||
\(736\) | −2.98385 | − | 1.08603i | −0.109986 | − | 0.0400316i | ||||
\(737\) | 3.34322 | + | 18.9604i | 0.123149 | + | 0.698414i | ||||
\(738\) | −1.33541 | + | 7.57350i | −0.0491572 | + | 0.278784i | ||||
\(739\) | 33.7671 | 1.24214 | 0.621072 | − | 0.783754i | \(-0.286698\pi\) | ||||
0.621072 | + | 0.783754i | \(0.286698\pi\) | |||||||
\(740\) | −3.25853 | + | 5.13634i | −0.119786 | + | 0.188816i | ||||
\(741\) | −1.50203 | −0.0551786 | ||||||||
\(742\) | 1.68978 | − | 9.58323i | 0.0620338 | − | 0.351811i | ||||
\(743\) | −4.14031 | − | 23.4809i | −0.151893 | − | 0.861430i | −0.961571 | − | 0.274555i | \(-0.911469\pi\) |
0.809678 | − | 0.586874i | \(-0.199642\pi\) | |||||||
\(744\) | 8.09225 | + | 2.94534i | 0.296676 | + | 0.107981i | ||||
\(745\) | 11.4614 | − | 9.61726i | 0.419913 | − | 0.352349i | ||||
\(746\) | −6.96919 | −0.255160 | ||||||||
\(747\) | −18.2395 | + | 15.3048i | −0.667350 | + | 0.559973i | ||||
\(748\) | 2.78080 | − | 4.81648i | 0.101676 | − | 0.176108i | ||||
\(749\) | −16.2055 | + | 5.89834i | −0.592138 | + | 0.215521i | ||||
\(750\) | −1.09918 | − | 1.90384i | −0.0401365 | − | 0.0695185i | ||||
\(751\) | 10.1621 | − | 17.6013i | 0.370821 | − | 0.642280i | −0.618871 | − | 0.785492i | \(-0.712410\pi\) |
0.989692 | + | 0.143212i | \(0.0457431\pi\) | |||||||
\(752\) | −0.407291 | + | 2.30986i | −0.0148524 | + | 0.0842319i | ||||
\(753\) | 54.7598 | + | 19.9309i | 1.99556 | + | 0.726324i | ||||
\(754\) | 0.451530 | + | 0.782073i | 0.0164438 | + | 0.0284814i | ||||
\(755\) | 7.63595 | + | 6.40733i | 0.277901 | + | 0.233186i | ||||
\(756\) | 7.19575 | + | 6.03795i | 0.261707 | + | 0.219598i | ||||
\(757\) | 10.1089 | − | 3.67933i | 0.367414 | − | 0.133728i | −0.151714 | − | 0.988424i | \(-0.548479\pi\) |
0.519128 | + | 0.854697i | \(0.326257\pi\) | |||||||
\(758\) | −4.14906 | − | 23.5305i | −0.150701 | − | 0.854666i | ||||
\(759\) | 1.84410 | + | 10.4584i | 0.0669365 | + | 0.379616i | ||||
\(760\) | 1.51994 | − | 0.553214i | 0.0551341 | − | 0.0200672i | ||||
\(761\) | −1.55481 | − | 1.30464i | −0.0563619 | − | 0.0472932i | 0.614172 | − | 0.789173i | \(-0.289490\pi\) |
−0.670533 | + | 0.741879i | \(0.733935\pi\) | |||||||
\(762\) | 4.24525 | + | 3.56219i | 0.153789 | + | 0.129044i | ||||
\(763\) | 1.77919 | + | 3.08165i | 0.0644110 | + | 0.111563i | ||||
\(764\) | 7.76696 | + | 2.82694i | 0.280999 | + | 0.102275i | ||||
\(765\) | −1.16350 | + | 6.59854i | −0.0420665 | + | 0.238571i | ||||
\(766\) | −0.988619 | + | 1.71234i | −0.0357203 | + | 0.0618693i | ||||
\(767\) | −2.85671 | − | 4.94797i | −0.103150 | − | 0.178661i | ||||
\(768\) | −2.06579 | + | 0.751886i | −0.0745428 | + | 0.0271314i | ||||
\(769\) | −12.2272 | + | 21.1782i | −0.440926 | + | 0.763706i | −0.997758 | − | 0.0669191i | \(-0.978683\pi\) |
0.556833 | + | 0.830625i | \(0.312016\pi\) | |||||||
\(770\) | 4.26639 | − | 3.57993i | 0.153750 | − | 0.129012i | ||||
\(771\) | 21.1073 | 0.760163 | ||||||||
\(772\) | −15.5979 | + | 13.0882i | −0.561379 | + | 0.471053i | ||||
\(773\) | −5.04909 | − | 1.83772i | −0.181603 | − | 0.0660981i | 0.249618 | − | 0.968344i | \(-0.419695\pi\) |
−0.431221 | + | 0.902246i | \(0.641917\pi\) | |||||||
\(774\) | −0.338972 | − | 1.92240i | −0.0121841 | − | 0.0690994i | ||||
\(775\) | 0.680226 | − | 3.85775i | 0.0244344 | − | 0.138575i | ||||
\(776\) | −14.3829 | −0.516317 | ||||||||
\(777\) | 48.9111 | + | 2.04253i | 1.75467 | + | 0.0732755i | ||||
\(778\) | 33.3649 | 1.19619 | ||||||||
\(779\) | −1.17852 | + | 6.68371i | −0.0422248 | + | 0.239469i | ||||
\(780\) | −0.161253 | − | 0.914512i | −0.00577379 | − | 0.0327448i | ||||
\(781\) | 23.0933 | + | 8.40528i | 0.826344 | + | 0.300765i | ||||
\(782\) | 8.89244 | − | 7.46165i | 0.317993 | − | 0.266828i | ||||
\(783\) | −5.48551 | −0.196036 | ||||||||
\(784\) | 4.90418 | − | 4.11510i | 0.175149 | − | 0.146968i | ||||
\(785\) | −4.18178 | + | 7.24305i | −0.149254 | + | 0.258516i | ||||
\(786\) | −43.2425 | + | 15.7390i | −1.54241 | + | 0.561391i | ||||
\(787\) | −25.4345 | − | 44.0538i | −0.906641 | − | 1.57035i | −0.818699 | − | 0.574222i | \(-0.805305\pi\) |
−0.0879413 | − | 0.996126i | \(-0.528029\pi\) | |||||||
\(788\) | −2.91946 | + | 5.05666i | −0.104002 | + | 0.180136i | ||||
\(789\) | 3.75502 | − | 21.2958i | 0.133682 | − | 0.758150i | ||||
\(790\) | −2.08914 | − | 0.760384i | −0.0743282 | − | 0.0270532i | ||||
\(791\) | −14.4461 | − | 25.0214i | −0.513646 | − | 0.889660i | ||||
\(792\) | 2.13598 | + | 1.79230i | 0.0758987 | + | 0.0636866i | ||||
\(793\) | 3.90050 | + | 3.27291i | 0.138511 | + | 0.116225i | ||||
\(794\) | −28.5560 | + | 10.3935i | −1.01341 | + | 0.368853i | ||||
\(795\) | −1.01472 | − | 5.75477i | −0.0359885 | − | 0.204101i | ||||
\(796\) | −1.75511 | − | 9.95370i | −0.0622081 | − | 0.352799i | ||||
\(797\) | 51.9345 | − | 18.9026i | 1.83961 | − | 0.669565i | 0.849817 | − | 0.527077i | \(-0.176712\pi\) |
0.989797 | − | 0.142488i | \(-0.0455101\pi\) | |||||||
\(798\) | −9.97194 | − | 8.36746i | −0.353003 | − | 0.296205i | ||||
\(799\) | −6.56848 | − | 5.51161i | −0.232376 | − | 0.194987i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | −5.45943 | − | 1.98707i | −0.192900 | − | 0.0702097i | ||||
\(802\) | −3.82046 | + | 21.6669i | −0.134905 | + | 0.765086i | ||||
\(803\) | 8.97268 | − | 15.5411i | 0.316639 | − | 0.548435i | ||||
\(804\) | 13.9105 | + | 24.0937i | 0.490585 | + | 0.849719i | ||||
\(805\) | 10.9235 | − | 3.97582i | 0.385002 | − | 0.140129i | ||||
\(806\) | 0.827353 | − | 1.43302i | 0.0291423 | − | 0.0504759i | ||||
\(807\) | −21.8289 | + | 18.3166i | −0.768415 | + | 0.644777i | ||||
\(808\) | 11.3893 | 0.400675 | ||||||||
\(809\) | 8.89437 | − | 7.46326i | 0.312709 | − | 0.262394i | −0.472901 | − | 0.881115i | \(-0.656793\pi\) |
0.785611 | + | 0.618721i | \(0.212349\pi\) | |||||||
\(810\) | 10.4675 | + | 3.80984i | 0.367789 | + | 0.133864i | ||||
\(811\) | −4.86130 | − | 27.5698i | −0.170703 | − | 0.968107i | −0.942987 | − | 0.332829i | \(-0.891997\pi\) |
0.772284 | − | 0.635278i | \(-0.219114\pi\) | |||||||
\(812\) | −1.35904 | + | 7.70752i | −0.0476931 | + | 0.270481i | ||||
\(813\) | −3.23951 | −0.113615 | ||||||||
\(814\) | −9.24582 | − | 0.386107i | −0.324066 | − | 0.0135330i | ||||
\(815\) | 12.5547 | 0.439772 | ||||||||
\(816\) | 1.39556 | − | 7.91459i | 0.0488542 | − | 0.277066i | ||||
\(817\) | −0.299147 | − | 1.69655i | −0.0104658 | − | 0.0593547i | ||||
\(818\) | 23.6553 | + | 8.60984i | 0.827090 | + | 0.301036i | ||||
\(819\) | −2.17118 | + | 1.82184i | −0.0758672 | + | 0.0636601i | ||||
\(820\) | −4.19590 | −0.146527 | ||||||||
\(821\) | 27.5361 | − | 23.1055i | 0.961017 | − | 0.806389i | −0.0201010 | − | 0.999798i | \(-0.506399\pi\) |
0.981118 | + | 0.193409i | \(0.0619543\pi\) | |||||||
\(822\) | −14.7987 | + | 25.6322i | −0.516165 | + | 0.894025i | ||||
\(823\) | 21.6145 | − | 7.86703i | 0.753434 | − | 0.274228i | 0.0633839 | − | 0.997989i | \(-0.479811\pi\) |
0.690050 | + | 0.723762i | \(0.257589\pi\) | |||||||
\(824\) | −2.91240 | − | 5.04442i | −0.101458 | − | 0.175731i | ||||
\(825\) | 1.67222 | − | 2.89637i | 0.0582192 | − | 0.100839i | ||||
\(826\) | 8.59831 | − | 48.7634i | 0.299173 | − | 1.69670i | ||||
\(827\) | 28.1210 | + | 10.2352i | 0.977863 | + | 0.355913i | 0.781009 | − | 0.624520i | \(-0.214705\pi\) |
0.196854 | + | 0.980433i | \(0.436928\pi\) | |||||||
\(828\) | 2.90992 | + | 5.04013i | 0.101127 | + | 0.175157i | ||||
\(829\) | −5.62083 | − | 4.71644i | −0.195219 | − | 0.163809i | 0.539938 | − | 0.841705i | \(-0.318448\pi\) |
−0.735158 | + | 0.677896i | \(0.762892\pi\) | |||||||
\(830\) | −9.95162 | − | 8.35040i | −0.345426 | − | 0.289847i | ||||
\(831\) | −57.9039 | + | 21.0753i | −2.00866 | + | 0.731094i | ||||
\(832\) | 0.0733513 | + | 0.415996i | 0.00254300 | + | 0.0144221i | ||||
\(833\) | 4.06405 | + | 23.0484i | 0.140811 | + | 0.798580i | ||||
\(834\) | 3.07924 | − | 1.12075i | 0.106625 | − | 0.0388085i | ||||
\(835\) | 2.30101 | + | 1.93078i | 0.0796299 | + | 0.0668174i | ||||
\(836\) | 1.88503 | + | 1.58173i | 0.0651951 | + | 0.0547052i | ||||
\(837\) | 5.02563 | + | 8.70465i | 0.173711 | + | 0.300877i | ||||
\(838\) | −31.4845 | − | 11.4594i | −1.08761 | − | 0.395859i | ||||
\(839\) | 3.22039 | − | 18.2637i | 0.111180 | − | 0.630534i | −0.877391 | − | 0.479777i | \(-0.840718\pi\) |
0.988571 | − | 0.150757i | \(-0.0481712\pi\) | |||||||
\(840\) | 4.02397 | − | 6.96972i | 0.138840 | − | 0.240478i | ||||
\(841\) | 12.2148 | + | 21.1566i | 0.421199 | + | 0.729539i | ||||
\(842\) | 1.52516 | − | 0.555112i | 0.0525604 | − | 0.0191304i | ||||
\(843\) | 11.3102 | − | 19.5898i | 0.389543 | − | 0.674709i | ||||
\(844\) | −13.1267 | + | 11.0146i | −0.451839 | + | 0.379138i | ||||
\(845\) | 12.8216 | 0.441075 | ||||||||
\(846\) | 3.29313 | − | 2.76326i | 0.113220 | − | 0.0950028i | ||||
\(847\) | −29.8791 | − | 10.8751i | −1.02666 | − | 0.373673i | ||||
\(848\) | 0.461579 | + | 2.61775i | 0.0158507 | + | 0.0898938i | ||||
\(849\) | −12.6911 | + | 71.9749i | −0.435558 | + | 2.47017i | ||||
\(850\) | −3.65575 | −0.125391 | ||||||||
\(851\) | −17.8586 | − | 7.35761i | −0.612185 | − | 0.252216i | ||||
\(852\) | 35.5122 | 1.21663 | ||||||||
\(853\) | −1.83151 | + | 10.3870i | −0.0627097 | + | 0.355644i | 0.937266 | + | 0.348616i | \(0.113348\pi\) |
−0.999975 | + | 0.00702814i | \(0.997763\pi\) | |||||||
\(854\) | 7.66273 | + | 43.4575i | 0.262213 | + | 1.48708i | ||||
\(855\) | −2.78578 | − | 1.01394i | −0.0952718 | − | 0.0346761i | ||||
\(856\) | 3.60867 | − | 3.02804i | 0.123342 | − | 0.103496i | ||||
\(857\) | −1.19774 | −0.0409141 | −0.0204570 | − | 0.999791i | \(-0.506512\pi\) | ||||
−0.0204570 | + | 0.999791i | \(0.506512\pi\) | |||||||
\(858\) | 1.08222 | − | 0.908089i | 0.0369463 | − | 0.0310016i | ||||
\(859\) | −4.64701 | + | 8.04886i | −0.158554 | + | 0.274624i | −0.934347 | − | 0.356363i | \(-0.884017\pi\) |
0.775793 | + | 0.630987i | \(0.217350\pi\) | |||||||
\(860\) | 1.00083 | − | 0.364271i | 0.0341279 | − | 0.0124215i | ||||
\(861\) | 16.8842 | + | 29.2442i | 0.575410 | + | 0.996640i | ||||
\(862\) | 5.92847 | − | 10.2684i | 0.201924 | − | 0.349743i | ||||
\(863\) | −2.65814 | + | 15.0750i | −0.0904840 | + | 0.513161i | 0.905554 | + | 0.424231i | \(0.139456\pi\) |
−0.996038 | + | 0.0889293i | \(0.971655\pi\) | |||||||
\(864\) | −2.41115 | − | 0.877585i | −0.0820289 | − | 0.0298561i | ||||
\(865\) | −5.88767 | − | 10.1977i | −0.200187 | − | 0.346734i | ||||
\(866\) | −0.345806 | − | 0.290166i | −0.0117510 | − | 0.00986024i | ||||
\(867\) | −6.12234 | − | 5.13726i | −0.207926 | − | 0.174470i | ||||
\(868\) | 13.4758 | − | 4.90477i | 0.457397 | − | 0.166479i | ||||
\(869\) | −0.587319 | − | 3.33085i | −0.0199234 | − | 0.112991i | ||||
\(870\) | 0.816112 | + | 4.62840i | 0.0276688 | + | 0.156917i | ||||
\(871\) | 5.02338 | − | 1.82836i | 0.170211 | − | 0.0619516i | ||||
\(872\) | −0.744599 | − | 0.624793i | −0.0252153 | − | 0.0211581i | ||||
\(873\) | 20.1940 | + | 16.9447i | 0.683462 | + | 0.573493i | ||||
\(874\) | 2.56804 | + | 4.44798i | 0.0868653 | + | 0.150455i | ||||
\(875\) | −3.44009 | − | 1.25209i | −0.116296 | − | 0.0423284i | ||||
\(876\) | 4.50298 | − | 25.5377i | 0.152141 | − | 0.862837i | ||||
\(877\) | 1.85636 | − | 3.21532i | 0.0626849 | − | 0.108574i | −0.832980 | − | 0.553303i | \(-0.813367\pi\) |
0.895665 | + | 0.444730i | \(0.146700\pi\) | |||||||
\(878\) | 7.11650 | + | 12.3261i | 0.240170 | + | 0.415987i | ||||
\(879\) | −50.7494 | + | 18.4713i | −1.71173 | + | 0.623020i | ||||
\(880\) | −0.760664 | + | 1.31751i | −0.0256420 | + | 0.0444132i | ||||
\(881\) | −9.37099 | + | 7.86319i | −0.315717 | + | 0.264918i | −0.786850 | − | 0.617144i | \(-0.788289\pi\) |
0.471133 | + | 0.882062i | \(0.343845\pi\) | |||||||
\(882\) | −11.7336 | −0.395092 | ||||||||
\(883\) | −13.1155 | + | 11.0052i | −0.441370 | + | 0.370354i | −0.836222 | − | 0.548391i | \(-0.815240\pi\) |
0.394852 | + | 0.918745i | \(0.370796\pi\) | |||||||
\(884\) | −1.45111 | − | 0.528160i | −0.0488061 | − | 0.0177640i | ||||
\(885\) | −5.16332 | − | 29.2827i | −0.173563 | − | 0.984326i | ||||
\(886\) | 5.61470 | − | 31.8425i | 0.188630 | − | 1.06977i | ||||
\(887\) | −14.8978 | −0.500218 | −0.250109 | − | 0.968218i | \(-0.580466\pi\) | ||||
−0.250109 | + | 0.968218i | \(0.580466\pi\) | |||||||
\(888\) | −12.7456 | + | 4.04527i | −0.427714 | + | 0.135750i | ||||
\(889\) | 9.22854 | 0.309515 | ||||||||
\(890\) | 0.550442 | − | 3.12171i | 0.0184509 | − | 0.104640i | ||||
\(891\) | 2.94272 | + | 16.6890i | 0.0985847 | + | 0.559101i | ||||
\(892\) | 25.2690 | + | 9.19715i | 0.846067 | + | 0.307943i | ||||
\(893\) | 2.90623 | − | 2.43861i | 0.0972532 | − | 0.0816051i | ||||
\(894\) | 32.8915 | 1.10006 | ||||||||
\(895\) | −2.83061 | + | 2.37516i | −0.0946168 | + | 0.0793929i | ||||
\(896\) | −1.83043 | + | 3.17041i | −0.0611505 | + | 0.105916i | ||||
\(897\) | 2.77086 | − | 1.00851i | 0.0925163 | − | 0.0336732i | ||||
\(898\) | 5.60861 | + | 9.71439i | 0.187162 | + | 0.324174i | ||||
\(899\) | −4.18728 | + | 7.25258i | −0.139654 | + | 0.241887i | ||||
\(900\) | 0.318266 | − | 1.80498i | 0.0106089 | − | 0.0601659i | ||||
\(901\) | −9.13142 | − | 3.32357i | −0.304212 | − | 0.110724i | ||||
\(902\) | −3.19167 | − | 5.52813i | −0.106271 | − | 0.184067i | ||||
\(903\) | −6.56616 | − | 5.50966i | −0.218508 | − | 0.183350i | ||||
\(904\) | 6.04577 | + | 5.07300i | 0.201079 | + | 0.168726i | ||||
\(905\) | −11.4143 | + | 4.15448i | −0.379425 | + | 0.138099i | ||||
\(906\) | 3.80522 | + | 21.5805i | 0.126420 | + | 0.716963i | ||||
\(907\) | 8.45365 | + | 47.9431i | 0.280699 | + | 1.59192i | 0.720256 | + | 0.693708i | \(0.244024\pi\) |
−0.439557 | + | 0.898215i | \(0.644865\pi\) | |||||||
\(908\) | −18.8250 | + | 6.85174i | −0.624730 | + | 0.227383i | ||||
\(909\) | −15.9909 | − | 13.4179i | −0.530383 | − | 0.445045i | ||||
\(910\) | −1.18461 | − | 0.994007i | −0.0392695 | − | 0.0329510i | ||||
\(911\) | −16.5689 | − | 28.6982i | −0.548953 | − | 0.950814i | −0.998347 | − | 0.0574801i | \(-0.981693\pi\) |
0.449394 | − | 0.893334i | \(-0.351640\pi\) | |||||||
\(912\) | 3.34139 | + | 1.21617i | 0.110645 | + | 0.0402713i | ||||
\(913\) | 3.43189 | − | 19.4632i | 0.113579 | − | 0.644138i | ||||
\(914\) | 3.87144 | − | 6.70553i | 0.128056 | − | 0.221799i | ||||
\(915\) | 13.2495 | + | 22.9488i | 0.438015 | + | 0.758664i | ||||
\(916\) | −23.2450 | + | 8.46047i | −0.768035 | + | 0.279542i | ||||
\(917\) | −38.3159 | + | 66.3651i | −1.26530 | + | 2.19157i | ||||
\(918\) | 7.18568 | − | 6.02951i | 0.237163 | − | 0.199003i | ||||
\(919\) | 16.5218 | 0.545005 | 0.272503 | − | 0.962155i | \(-0.412149\pi\) | ||||
0.272503 | + | 0.962155i | \(0.412149\pi\) | |||||||
\(920\) | −2.43245 | + | 2.04107i | −0.0801956 | + | 0.0672921i | ||||
\(921\) | 6.81537 | + | 2.48059i | 0.224574 | + | 0.0817383i | ||||
\(922\) | 5.81387 | + | 32.9721i | 0.191470 | + | 1.08588i | ||||
\(923\) | 1.18491 | − | 6.71996i | 0.0390018 | − | 0.221190i | ||||
\(924\) | 12.2435 | 0.402783 | ||||||||
\(925\) | 2.81894 | + | 5.39014i | 0.0926861 | + | 0.177227i | ||||
\(926\) | −7.98598 | −0.262435 | ||||||||
\(927\) | −1.85384 | + | 10.5136i | −0.0608879 | + | 0.345313i | ||||
\(928\) | −0.371235 | − | 2.10538i | −0.0121864 | − | 0.0691125i | ||||
\(929\) | 41.9234 | + | 15.2589i | 1.37546 | + | 0.500627i | 0.920799 | − | 0.390038i | \(-0.127538\pi\) |
0.454662 | + | 0.890664i | \(0.349760\pi\) | |||||||
\(930\) | 6.59686 | − | 5.53543i | 0.216320 | − | 0.181514i | ||||
\(931\) | −10.3551 | −0.339375 | ||||||||
\(932\) | 4.86509 | − | 4.08230i | 0.159361 | − | 0.133720i | ||||
\(933\) | −31.9280 | + | 55.3009i | −1.04527 | + | 1.81047i | ||||
\(934\) | 23.2964 | − | 8.47920i | 0.762282 | − | 0.277448i | ||||
\(935\) | −2.78080 | − | 4.81648i | −0.0909418 | − | 0.157516i | ||||
\(936\) | 0.387104 | − | 0.670484i | 0.0126529 | − | 0.0219155i | ||||
\(937\) | 4.94854 | − | 28.0646i | 0.161662 | − | 0.916830i | −0.790778 | − | 0.612103i | \(-0.790324\pi\) |
0.952440 | − | 0.304727i | \(-0.0985651\pi\) | |||||||
\(938\) | 43.5354 | + | 15.8456i | 1.42148 | + | 0.517376i | ||||
\(939\) | −15.4418 | − | 26.7459i | −0.503923 | − | 0.872820i | ||||
\(940\) | 1.79675 | + | 1.50765i | 0.0586036 | + | 0.0491743i | ||||
\(941\) | −17.6990 | − | 14.8512i | −0.576972 | − | 0.484137i | 0.306979 | − | 0.951716i | \(-0.400682\pi\) |
−0.883951 | + | 0.467580i | \(0.845126\pi\) | |||||||
\(942\) | −17.2774 | + | 6.28844i | −0.562927 | + | 0.204889i | ||||
\(943\) | −2.31359 | − | 13.1210i | −0.0753407 | − | 0.427279i | ||||
\(944\) | 2.34871 | + | 13.3202i | 0.0764439 | + | 0.433535i | ||||
\(945\) | 8.82689 | − | 3.21272i | 0.287139 | − | 0.104510i | ||||
\(946\) | 1.24122 | + | 1.04151i | 0.0403556 | + | 0.0338624i | ||||
\(947\) | −12.7645 | − | 10.7107i | −0.414791 | − | 0.348051i | 0.411386 | − | 0.911461i | \(-0.365045\pi\) |
−0.826178 | + | 0.563410i | \(0.809489\pi\) | |||||||
\(948\) | −2.44372 | − | 4.23265i | −0.0793683 | − | 0.137470i | ||||
\(949\) | −4.68223 | − | 1.70419i | −0.151992 | − | 0.0553204i | ||||
\(950\) | 0.280874 | − | 1.59292i | 0.00911276 | − | 0.0516810i | ||||
\(951\) | −2.06151 | + | 3.57064i | −0.0668491 | + | 0.115786i | ||||
\(952\) | −6.69161 | − | 11.5902i | −0.216876 | − | 0.375641i | ||||
\(953\) | −33.2955 | + | 12.1186i | −1.07855 | + | 0.392559i | −0.819367 | − | 0.573270i | \(-0.805675\pi\) |
−0.259180 | + | 0.965829i | \(0.583452\pi\) | |||||||
\(954\) | 2.43594 | − | 4.21917i | 0.0788664 | − | 0.136601i | ||||
\(955\) | 6.33168 | − | 5.31291i | 0.204888 | − | 0.171922i | ||||
\(956\) | 12.8310 | 0.414983 | ||||||||
\(957\) | −5.47717 | + | 4.59589i | −0.177052 | + | 0.148564i | ||||
\(958\) | −15.4948 | − | 5.63964i | −0.500613 | − | 0.182208i | ||||
\(959\) | 8.55872 | + | 48.5389i | 0.276375 | + | 1.56740i | ||||
\(960\) | −0.381743 | + | 2.16497i | −0.0123207 | + | 0.0698741i | ||||
\(961\) | −15.6550 | −0.505001 | ||||||||
\(962\) | 0.340212 | + | 2.54682i | 0.0109689 | + | 0.0821127i | ||||
\(963\) | −8.63404 | −0.278228 | ||||||||
\(964\) | −3.30959 | + | 18.7696i | −0.106595 | + | 0.604528i | ||||
\(965\) | 3.53575 | + | 20.0522i | 0.113820 | + | 0.645504i | ||||
\(966\) | 24.0138 | + | 8.74031i | 0.772632 | + | 0.281215i | ||||
\(967\) | −36.3612 | + | 30.5106i | −1.16930 | + | 0.981156i | −0.999990 | − | 0.00440724i | \(-0.998597\pi\) |
−0.169306 | + | 0.985563i | \(0.554153\pi\) | |||||||
\(968\) | 8.68556 | 0.279165 | ||||||||
\(969\) | −9.95800 | + | 8.35576i | −0.319897 | + | 0.268426i | ||||
\(970\) | −7.19146 | + | 12.4560i | −0.230904 | + | 0.399937i | ||||
\(971\) | −33.4353 | + | 12.1694i | −1.07299 | + | 0.390536i | −0.817293 | − | 0.576222i | \(-0.804526\pi\) |
−0.255695 | + | 0.966758i | \(0.582304\pi\) | |||||||
\(972\) | 8.39523 | + | 14.5410i | 0.269277 | + | 0.466402i | ||||
\(973\) | 2.72842 | − | 4.72577i | 0.0874693 | − | 0.151501i | ||||
\(974\) | −1.07849 | + | 6.11640i | −0.0345570 | + | 0.195982i | ||||
\(975\) | −0.872617 | − | 0.317607i | −0.0279461 | − | 0.0101716i | ||||
\(976\) | −6.02697 | − | 10.4390i | −0.192919 | − | 0.334145i | ||||
\(977\) | 27.6487 | + | 23.2000i | 0.884559 | + | 0.742233i | 0.967111 | − | 0.254354i | \(-0.0818628\pi\) |
−0.0825525 | + | 0.996587i | \(0.526307\pi\) | |||||||
\(978\) | 21.1427 | + | 17.7409i | 0.676070 | + | 0.567290i | ||||
\(979\) | 4.53159 | − | 1.64936i | 0.144830 | − | 0.0527139i | ||||
\(980\) | −1.11169 | − | 6.30470i | −0.0355116 | − | 0.201396i | ||||
\(981\) | 0.309356 | + | 1.75445i | 0.00987698 | + | 0.0560152i | ||||
\(982\) | −19.3261 | + | 7.03412i | −0.616720 | + | 0.224468i | ||||
\(983\) | −4.49942 | − | 3.77546i | −0.143509 | − | 0.120419i | 0.568207 | − | 0.822886i | \(-0.307637\pi\) |
−0.711716 | + | 0.702467i | \(0.752082\pi\) | |||||||
\(984\) | −7.06609 | − | 5.92915i | −0.225259 | − | 0.189014i | ||||
\(985\) | 2.91946 | + | 5.05666i | 0.0930218 | + | 0.161118i | ||||
\(986\) | 7.34414 | + | 2.67305i | 0.233885 | + | 0.0851273i | ||||
\(987\) | 3.27785 | − | 18.5896i | 0.104335 | − | 0.591714i | ||||
\(988\) | 0.341625 | − | 0.591711i | 0.0108685 | − | 0.0188248i | ||||
\(989\) | 1.69096 | + | 2.92883i | 0.0537694 | + | 0.0931314i | ||||
\(990\) | 2.62017 | − | 0.953662i | 0.0832743 | − | 0.0303094i | ||||
\(991\) | 12.8003 | − | 22.1707i | 0.406614 | − | 0.704277i | −0.587894 | − | 0.808938i | \(-0.700043\pi\) |
0.994508 | + | 0.104662i | \(0.0333760\pi\) | |||||||
\(992\) | −3.00080 | + | 2.51797i | −0.0952755 | + | 0.0799456i | ||||
\(993\) | −30.0217 | −0.952710 | ||||||||
\(994\) | 45.3018 | − | 38.0128i | 1.43689 | − | 1.20569i | ||||
\(995\) | −9.49771 | − | 3.45688i | −0.301098 | − | 0.109591i | ||||
\(996\) | −4.95919 | − | 28.1249i | −0.157138 | − | 0.891173i | ||||
\(997\) | 4.64136 | − | 26.3225i | 0.146993 | − | 0.833641i | −0.818752 | − | 0.574148i | \(-0.805333\pi\) |
0.965745 | − | 0.259493i | \(-0.0835555\pi\) | |||||||
\(998\) | −7.95466 | −0.251800 | ||||||||
\(999\) | −14.4309 | − | 5.94543i | −0.456574 | − | 0.188105i |
(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 | 370.2.o.b.181.3 | ✓ | 18 | |
37.9 | even | 9 | inner | 370.2.o.b.231.3 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.b.181.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
370.2.o.b.231.3 | yes | 18 | 37.9 | even | 9 | inner |