Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 137.9 | ||
Character | \(\chi\) | \(=\) | 150.137 |
Dual form | 150.2.l.a.23.9 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.987688 | − | 0.156434i | 0.698401 | − | 0.110616i | ||||
\(3\) | 0.513483 | + | 1.65419i | 0.296460 | + | 0.955045i | ||||
\(4\) | 0.951057 | − | 0.309017i | 0.475528 | − | 0.154508i | ||||
\(5\) | −0.545143 | + | 2.16860i | −0.243795 | + | 0.969827i | ||||
\(6\) | 0.765933 | + | 1.55349i | 0.312691 | + | 0.634212i | ||||
\(7\) | −1.41702 | − | 1.41702i | −0.535583 | − | 0.535583i | 0.386645 | − | 0.922229i | \(-0.373634\pi\) |
−0.922229 | + | 0.386645i | \(0.873634\pi\) | |||||||
\(8\) | 0.891007 | − | 0.453990i | 0.315018 | − | 0.160510i | ||||
\(9\) | −2.47267 | + | 1.69880i | −0.824223 | + | 0.566265i | ||||
\(10\) | −0.199188 | + | 2.22718i | −0.0629888 | + | 0.704296i | ||||
\(11\) | 2.37267 | − | 3.26569i | 0.715386 | − | 0.984644i | −0.284279 | − | 0.958742i | \(-0.591754\pi\) |
0.999664 | − | 0.0259024i | \(-0.00824591\pi\) | |||||||
\(12\) | 0.999524 | + | 1.41455i | 0.288538 | + | 0.408345i | ||||
\(13\) | 0.301677 | − | 1.90471i | 0.0836701 | − | 0.528272i | −0.909879 | − | 0.414873i | \(-0.863826\pi\) |
0.993549 | − | 0.113399i | \(-0.0361740\pi\) | |||||||
\(14\) | −1.62125 | − | 1.17790i | −0.433296 | − | 0.314808i | ||||
\(15\) | −3.86719 | + | 0.211770i | −0.998504 | + | 0.0546789i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | −1.78386 | − | 3.50102i | −0.432649 | − | 0.849121i | −0.999677 | − | 0.0254227i | \(-0.991907\pi\) |
0.567028 | − | 0.823699i | \(-0.308093\pi\) | |||||||
\(18\) | −2.17648 | + | 2.06469i | −0.513001 | + | 0.486652i | ||||
\(19\) | 6.42284 | + | 2.08691i | 1.47350 | + | 0.478769i | 0.932164 | − | 0.362037i | \(-0.117919\pi\) |
0.541336 | + | 0.840806i | \(0.317919\pi\) | |||||||
\(20\) | 0.151672 | + | 2.23092i | 0.0339148 | + | 0.498848i | ||||
\(21\) | 1.61640 | − | 3.07163i | 0.352727 | − | 0.670285i | ||||
\(22\) | 1.83259 | − | 3.59666i | 0.390709 | − | 0.766810i | ||||
\(23\) | 0.317431 | + | 2.00418i | 0.0661889 | + | 0.417900i | 0.998428 | + | 0.0560564i | \(0.0178527\pi\) |
−0.932239 | + | 0.361844i | \(0.882147\pi\) | |||||||
\(24\) | 1.20850 | + | 1.24077i | 0.246684 | + | 0.253272i | ||||
\(25\) | −4.40564 | − | 2.36439i | −0.881128 | − | 0.472879i | ||||
\(26\) | − | 1.92846i | − | 0.378201i | ||||||
\(27\) | −4.07980 | − | 3.21796i | −0.785158 | − | 0.619296i | ||||
\(28\) | −1.78555 | − | 0.909783i | −0.337437 | − | 0.171933i | ||||
\(29\) | −1.79717 | − | 5.53113i | −0.333727 | − | 1.02710i | −0.967346 | − | 0.253460i | \(-0.918431\pi\) |
0.633619 | − | 0.773645i | \(-0.281569\pi\) | |||||||
\(30\) | −3.78645 | + | 0.814125i | −0.691308 | + | 0.148638i | ||||
\(31\) | −2.88201 | + | 8.86991i | −0.517624 | + | 1.59308i | 0.260833 | + | 0.965384i | \(0.416003\pi\) |
−0.778457 | + | 0.627698i | \(0.783997\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | 6.62039 | + | 2.24795i | 1.15246 | + | 0.391319i | ||||
\(34\) | −2.30957 | − | 3.17886i | −0.396089 | − | 0.545169i | ||||
\(35\) | 3.84543 | − | 2.30047i | 0.649996 | − | 0.388850i | ||||
\(36\) | −1.82669 | + | 2.37975i | −0.304449 | + | 0.396625i | ||||
\(37\) | −6.31949 | − | 1.00091i | −1.03892 | − | 0.164548i | −0.386407 | − | 0.922328i | \(-0.626284\pi\) |
−0.652510 | + | 0.757780i | \(0.726284\pi\) | |||||||
\(38\) | 6.67023 | + | 1.05646i | 1.08205 | + | 0.171380i | ||||
\(39\) | 3.30566 | − | 0.479008i | 0.529329 | − | 0.0767027i | ||||
\(40\) | 0.498797 | + | 2.17973i | 0.0788667 | + | 0.344645i | ||||
\(41\) | −0.756950 | − | 1.04185i | −0.118216 | − | 0.162710i | 0.745808 | − | 0.666161i | \(-0.232064\pi\) |
−0.864024 | + | 0.503451i | \(0.832064\pi\) | |||||||
\(42\) | 1.11599 | − | 3.28668i | 0.172201 | − | 0.507145i | ||||
\(43\) | −6.68950 | + | 6.68950i | −1.02014 | + | 1.02014i | −0.0203466 | + | 0.999793i | \(0.506477\pi\) |
−0.999793 | + | 0.0203466i | \(0.993523\pi\) | |||||||
\(44\) | 1.24738 | − | 3.83905i | 0.188050 | − | 0.578759i | ||||
\(45\) | −2.33605 | − | 6.28831i | −0.348237 | − | 0.937407i | ||||
\(46\) | 0.627046 | + | 1.92985i | 0.0924528 | + | 0.284541i | ||||
\(47\) | 1.18073 | + | 0.601612i | 0.172227 | + | 0.0877541i | 0.537979 | − | 0.842958i | \(-0.319188\pi\) |
−0.365752 | + | 0.930712i | \(0.619188\pi\) | |||||||
\(48\) | 1.38772 | + | 1.03645i | 0.200301 | + | 0.149598i | ||||
\(49\) | − | 2.98411i | − | 0.426301i | ||||||
\(50\) | −4.72127 | − | 1.64609i | −0.667688 | − | 0.232792i | ||||
\(51\) | 4.87536 | − | 4.74855i | 0.682686 | − | 0.664930i | ||||
\(52\) | −0.301677 | − | 1.90471i | −0.0418351 | − | 0.264136i | ||||
\(53\) | −4.96215 | + | 9.73877i | −0.681604 | + | 1.33772i | 0.247854 | + | 0.968797i | \(0.420275\pi\) |
−0.929459 | + | 0.368926i | \(0.879725\pi\) | |||||||
\(54\) | −4.53297 | − | 2.54012i | −0.616859 | − | 0.345666i | ||||
\(55\) | 5.78854 | + | 6.92563i | 0.780526 | + | 0.933852i | ||||
\(56\) | −1.90589 | − | 0.619261i | −0.254685 | − | 0.0827522i | ||||
\(57\) | −0.154113 | + | 11.6962i | −0.0204128 | + | 1.54920i | ||||
\(58\) | −2.64031 | − | 5.18189i | −0.346689 | − | 0.680416i | ||||
\(59\) | 3.81952 | − | 2.77504i | 0.497259 | − | 0.361280i | −0.310710 | − | 0.950505i | \(-0.600567\pi\) |
0.807969 | + | 0.589225i | \(0.200567\pi\) | |||||||
\(60\) | −3.61247 | + | 1.39643i | −0.466369 | + | 0.180279i | ||||
\(61\) | −0.433671 | − | 0.315081i | −0.0555259 | − | 0.0403419i | 0.559676 | − | 0.828711i | \(-0.310926\pi\) |
−0.615202 | + | 0.788370i | \(0.710926\pi\) | |||||||
\(62\) | −1.45897 | + | 9.21155i | −0.185289 | + | 1.16987i | ||||
\(63\) | 5.91105 | + | 1.09660i | 0.744722 | + | 0.138158i | ||||
\(64\) | 0.587785 | − | 0.809017i | 0.0734732 | − | 0.101127i | ||||
\(65\) | 3.96610 | + | 1.69256i | 0.491934 | + | 0.209936i | ||||
\(66\) | 6.89054 | + | 1.18462i | 0.848167 | + | 0.145817i | ||||
\(67\) | −1.35097 | + | 0.688356i | −0.165048 | + | 0.0840960i | −0.534563 | − | 0.845129i | \(-0.679524\pi\) |
0.369515 | + | 0.929225i | \(0.379524\pi\) | |||||||
\(68\) | −2.77842 | − | 2.77842i | −0.336933 | − | 0.336933i | ||||
\(69\) | −3.15229 | + | 1.55420i | −0.379491 | + | 0.187104i | ||||
\(70\) | 3.43821 | − | 2.87370i | 0.410945 | − | 0.343473i | ||||
\(71\) | −0.520251 | + | 0.169040i | −0.0617424 | + | 0.0200613i | −0.339725 | − | 0.940525i | \(-0.610334\pi\) |
0.277983 | + | 0.960586i | \(0.410334\pi\) | |||||||
\(72\) | −1.43193 | + | 2.63621i | −0.168754 | + | 0.310680i | ||||
\(73\) | 7.37855 | − | 1.16865i | 0.863594 | − | 0.136780i | 0.291104 | − | 0.956691i | \(-0.405977\pi\) |
0.572490 | + | 0.819912i | \(0.305977\pi\) | |||||||
\(74\) | −6.39826 | −0.743783 | ||||||||
\(75\) | 1.64893 | − | 8.50183i | 0.190402 | − | 0.981706i | ||||
\(76\) | 6.75337 | 0.774665 | ||||||||
\(77\) | −7.98967 | + | 1.26544i | −0.910508 | + | 0.144210i | ||||
\(78\) | 3.19003 | − | 0.990230i | 0.361199 | − | 0.112121i | ||||
\(79\) | 10.2088 | − | 3.31704i | 1.14858 | − | 0.373196i | 0.327971 | − | 0.944688i | \(-0.393635\pi\) |
0.820607 | + | 0.571492i | \(0.193635\pi\) | |||||||
\(80\) | 0.833640 | + | 2.07486i | 0.0932038 | + | 0.231976i | ||||
\(81\) | 3.22819 | − | 8.40112i | 0.358688 | − | 0.933458i | ||||
\(82\) | −0.910612 | − | 0.910612i | −0.100560 | − | 0.100560i | ||||
\(83\) | 3.00600 | − | 1.53163i | 0.329952 | − | 0.168119i | −0.281165 | − | 0.959659i | \(-0.590721\pi\) |
0.611116 | + | 0.791541i | \(0.290721\pi\) | |||||||
\(84\) | 0.588101 | − | 3.42079i | 0.0641671 | − | 0.373239i | ||||
\(85\) | 8.56476 | − | 1.95991i | 0.928978 | − | 0.212583i | ||||
\(86\) | −5.56067 | + | 7.65361i | −0.599623 | + | 0.825310i | ||||
\(87\) | 8.22670 | − | 5.81300i | 0.881995 | − | 0.623219i | ||||
\(88\) | 0.631467 | − | 3.98692i | 0.0673146 | − | 0.425007i | ||||
\(89\) | 11.4865 | + | 8.34544i | 1.21757 | + | 0.884615i | 0.995896 | − | 0.0905063i | \(-0.0288485\pi\) |
0.221672 | + | 0.975121i | \(0.428849\pi\) | |||||||
\(90\) | −3.29099 | − | 5.84546i | −0.346901 | − | 0.616165i | ||||
\(91\) | −3.12650 | + | 2.27153i | −0.327746 | + | 0.238122i | ||||
\(92\) | 0.921220 | + | 1.80800i | 0.0960439 | + | 0.188497i | ||||
\(93\) | −16.1523 | − | 0.212830i | −1.67492 | − | 0.0220694i | ||||
\(94\) | 1.26031 | + | 0.409498i | 0.129991 | + | 0.0422365i | ||||
\(95\) | −8.02703 | + | 12.7909i | −0.823556 | + | 1.31232i | ||||
\(96\) | 1.53277 | + | 0.806599i | 0.156438 | + | 0.0823232i | ||||
\(97\) | −4.82956 | + | 9.47854i | −0.490367 | + | 0.962400i | 0.504709 | + | 0.863290i | \(0.331600\pi\) |
−0.995076 | + | 0.0991108i | \(0.968400\pi\) | |||||||
\(98\) | −0.466817 | − | 2.94737i | −0.0471557 | − | 0.297729i | ||||
\(99\) | −0.319074 | + | 12.1057i | −0.0320681 | + | 1.21666i | ||||
\(100\) | −4.92065 | − | 0.887255i | −0.492065 | − | 0.0887255i | ||||
\(101\) | 11.9603i | 1.19010i | 0.803690 | + | 0.595048i | \(0.202867\pi\) | ||||
−0.803690 | + | 0.595048i | \(0.797133\pi\) | |||||||
\(102\) | 4.07250 | − | 5.45276i | 0.403237 | − | 0.539904i | ||||
\(103\) | 2.58470 | + | 1.31697i | 0.254678 | + | 0.129765i | 0.576669 | − | 0.816978i | \(-0.304352\pi\) |
−0.321991 | + | 0.946743i | \(0.604352\pi\) | |||||||
\(104\) | −0.595926 | − | 1.83407i | −0.0584353 | − | 0.179845i | ||||
\(105\) | 5.77997 | + | 5.17980i | 0.564067 | + | 0.505497i | ||||
\(106\) | −3.37758 | + | 10.3951i | −0.328060 | + | 1.00966i | ||||
\(107\) | 10.4011 | − | 10.4011i | 1.00551 | − | 1.00551i | 0.00552544 | − | 0.999985i | \(-0.498241\pi\) |
0.999985 | − | 0.00552544i | \(-0.00175881\pi\) | |||||||
\(108\) | −4.87452 | − | 1.79973i | −0.469051 | − | 0.173179i | ||||
\(109\) | −7.36263 | − | 10.1338i | −0.705212 | − | 0.970641i | −0.999887 | − | 0.0150436i | \(-0.995211\pi\) |
0.294675 | − | 0.955598i | \(-0.404789\pi\) | |||||||
\(110\) | 6.80068 | + | 5.93484i | 0.648419 | + | 0.565865i | ||||
\(111\) | −1.58926 | − | 10.9676i | −0.150846 | − | 1.04100i | ||||
\(112\) | −1.97930 | − | 0.313490i | −0.187026 | − | 0.0296220i | ||||
\(113\) | −14.3852 | − | 2.27840i | −1.35325 | − | 0.214333i | −0.562663 | − | 0.826686i | \(-0.690223\pi\) |
−0.790585 | + | 0.612353i | \(0.790223\pi\) | |||||||
\(114\) | 1.67747 | + | 11.5763i | 0.157109 | + | 1.08422i | ||||
\(115\) | −4.51931 | − | 0.404185i | −0.421428 | − | 0.0376904i | ||||
\(116\) | −3.41843 | − | 4.70506i | −0.317393 | − | 0.436854i | ||||
\(117\) | 2.48977 | + | 5.22221i | 0.230179 | + | 0.482794i | ||||
\(118\) | 3.33838 | − | 3.33838i | 0.307323 | − | 0.307323i | ||||
\(119\) | −2.43325 | + | 7.48877i | −0.223056 | + | 0.686495i | ||||
\(120\) | −3.34955 | + | 1.94436i | −0.305771 | + | 0.177495i | ||||
\(121\) | −1.63603 | − | 5.03519i | −0.148730 | − | 0.457744i | ||||
\(122\) | −0.477622 | − | 0.243360i | −0.0432418 | − | 0.0220328i | ||||
\(123\) | 1.33474 | − | 1.78711i | 0.120349 | − | 0.161138i | ||||
\(124\) | 9.32637i | 0.837533i | ||||||||
\(125\) | 7.52912 | − | 8.26513i | 0.673425 | − | 0.739255i | ||||
\(126\) | 6.00982 | + | 0.158403i | 0.535397 | + | 0.0141117i | ||||
\(127\) | 0.572870 | + | 3.61696i | 0.0508340 | + | 0.320953i | 0.999981 | + | 0.00612070i | \(0.00194829\pi\) |
−0.949147 | + | 0.314832i | \(0.898052\pi\) | |||||||
\(128\) | 0.453990 | − | 0.891007i | 0.0401275 | − | 0.0787546i | ||||
\(129\) | −14.5006 | − | 7.63074i | −1.27671 | − | 0.671849i | ||||
\(130\) | 4.18205 | + | 1.05128i | 0.366790 | + | 0.0922037i | ||||
\(131\) | −2.34952 | − | 0.763407i | −0.205279 | − | 0.0666992i | 0.204573 | − | 0.978851i | \(-0.434420\pi\) |
−0.409852 | + | 0.912152i | \(0.634420\pi\) | |||||||
\(132\) | 6.99103 | + | 0.0921166i | 0.608491 | + | 0.00801772i | ||||
\(133\) | −6.14410 | − | 12.0585i | −0.532761 | − | 1.04560i | ||||
\(134\) | −1.22666 | + | 0.891220i | −0.105967 | + | 0.0769897i | ||||
\(135\) | 9.20253 | − | 7.09320i | 0.792027 | − | 0.610485i | ||||
\(136\) | −3.17886 | − | 2.30957i | −0.272585 | − | 0.198044i | ||||
\(137\) | 0.709676 | − | 4.48072i | 0.0606317 | − | 0.382814i | −0.938648 | − | 0.344876i | \(-0.887921\pi\) |
0.999280 | − | 0.0379379i | \(-0.0120789\pi\) | |||||||
\(138\) | −2.87035 | + | 2.02820i | −0.244341 | + | 0.172651i | ||||
\(139\) | 3.37296 | − | 4.64248i | 0.286091 | − | 0.393770i | −0.641649 | − | 0.766999i | \(-0.721749\pi\) |
0.927739 | + | 0.373228i | \(0.121749\pi\) | |||||||
\(140\) | 2.94633 | − | 3.37618i | 0.249011 | − | 0.285339i | ||||
\(141\) | −0.388893 | + | 2.26206i | −0.0327507 | + | 0.190500i | ||||
\(142\) | −0.487402 | + | 0.248344i | −0.0409019 | + | 0.0208405i | ||||
\(143\) | −5.50443 | − | 5.50443i | −0.460304 | − | 0.460304i | ||||
\(144\) | −1.00191 | + | 2.82775i | −0.0834921 | + | 0.235646i | ||||
\(145\) | 12.9745 | − | 0.882088i | 1.07747 | − | 0.0732534i | ||||
\(146\) | 7.10489 | − | 2.30852i | 0.588005 | − | 0.191054i | ||||
\(147\) | 4.93627 | − | 1.53229i | 0.407137 | − | 0.126381i | ||||
\(148\) | −6.31949 | + | 1.00091i | −0.519459 | + | 0.0822742i | ||||
\(149\) | −15.3490 | −1.25744 | −0.628720 | − | 0.777632i | \(-0.716421\pi\) | ||||
−0.628720 | + | 0.777632i | \(0.716421\pi\) | |||||||
\(150\) | 0.298648 | − | 8.65510i | 0.0243845 | − | 0.706686i | ||||
\(151\) | −22.6955 | −1.84694 | −0.923468 | − | 0.383676i | \(-0.874658\pi\) | ||||
−0.923468 | + | 0.383676i | \(0.874658\pi\) | |||||||
\(152\) | 6.67023 | − | 1.05646i | 0.541027 | − | 0.0856902i | ||||
\(153\) | 10.3584 | + | 5.62645i | 0.837427 | + | 0.454872i | ||||
\(154\) | −7.69335 | + | 2.49972i | −0.619948 | + | 0.201433i | ||||
\(155\) | −17.6642 | − | 11.0853i | −1.41882 | − | 0.890392i | ||||
\(156\) | 2.99585 | − | 1.47707i | 0.239860 | − | 0.118260i | ||||
\(157\) | 0.431200 | + | 0.431200i | 0.0344135 | + | 0.0344135i | 0.724104 | − | 0.689691i | \(-0.242253\pi\) |
−0.689691 | + | 0.724104i | \(0.742253\pi\) | |||||||
\(158\) | 9.56420 | − | 4.87320i | 0.760887 | − | 0.387691i | ||||
\(159\) | −18.6577 | − | 3.20763i | −1.47965 | − | 0.254382i | ||||
\(160\) | 1.14796 | + | 1.91891i | 0.0907539 | + | 0.151703i | ||||
\(161\) | 2.39016 | − | 3.28977i | 0.188371 | − | 0.259270i | ||||
\(162\) | 1.87422 | − | 8.80269i | 0.147253 | − | 0.691604i | ||||
\(163\) | 3.70877 | − | 23.4163i | 0.290493 | − | 1.83410i | −0.221556 | − | 0.975148i | \(-0.571114\pi\) |
0.512049 | − | 0.858956i | \(-0.328886\pi\) | |||||||
\(164\) | −1.04185 | − | 0.756950i | −0.0813550 | − | 0.0591079i | ||||
\(165\) | −8.48397 | + | 13.1315i | −0.660476 | + | 1.02229i | ||||
\(166\) | 2.72939 | − | 1.98302i | 0.211842 | − | 0.153912i | ||||
\(167\) | −1.54555 | − | 3.03330i | −0.119598 | − | 0.234724i | 0.823444 | − | 0.567397i | \(-0.192050\pi\) |
−0.943042 | + | 0.332673i | \(0.892050\pi\) | |||||||
\(168\) | 0.0457310 | − | 3.47068i | 0.00352823 | − | 0.267768i | ||||
\(169\) | 8.82681 | + | 2.86800i | 0.678986 | + | 0.220616i | ||||
\(170\) | 8.15271 | − | 3.27561i | 0.625285 | − | 0.251228i | ||||
\(171\) | −19.4268 | + | 5.75086i | −1.48560 | + | 0.439779i | ||||
\(172\) | −4.29493 | + | 8.42926i | −0.327485 | + | 0.642725i | ||||
\(173\) | 0.203505 | + | 1.28488i | 0.0154722 | + | 0.0976874i | 0.994216 | − | 0.107399i | \(-0.0342523\pi\) |
−0.978744 | + | 0.205087i | \(0.934252\pi\) | |||||||
\(174\) | 7.21606 | − | 7.02837i | 0.547048 | − | 0.532820i | ||||
\(175\) | 2.89248 | + | 9.59327i | 0.218651 | + | 0.725183i | ||||
\(176\) | − | 4.03662i | − | 0.304272i | ||||||
\(177\) | 6.55170 | + | 4.89326i | 0.492456 | + | 0.367800i | ||||
\(178\) | 12.6506 | + | 6.44581i | 0.948203 | + | 0.483134i | ||||
\(179\) | 7.13852 | + | 21.9701i | 0.533558 | + | 1.64212i | 0.746744 | + | 0.665112i | \(0.231616\pi\) |
−0.213186 | + | 0.977012i | \(0.568384\pi\) | |||||||
\(180\) | −4.16491 | − | 5.25866i | −0.310434 | − | 0.391958i | ||||
\(181\) | 5.01359 | − | 15.4302i | 0.372657 | − | 1.14692i | −0.572389 | − | 0.819983i | \(-0.693983\pi\) |
0.945046 | − | 0.326938i | \(-0.106017\pi\) | |||||||
\(182\) | −2.73266 | + | 2.73266i | −0.202558 | + | 0.202558i | ||||
\(183\) | 0.298519 | − | 0.879162i | 0.0220672 | − | 0.0649895i | ||||
\(184\) | 1.19271 | + | 1.64163i | 0.0879279 | + | 0.121022i | ||||
\(185\) | 5.61560 | − | 13.1588i | 0.412867 | − | 0.967454i | ||||
\(186\) | −15.9868 | + | 2.31657i | −1.17221 | + | 0.169859i | ||||
\(187\) | −15.6658 | − | 2.48121i | −1.14559 | − | 0.181444i | ||||
\(188\) | 1.30885 | + | 0.207301i | 0.0954576 | + | 0.0151190i | ||||
\(189\) | 1.22125 | + | 10.3411i | 0.0888329 | + | 0.752202i | ||||
\(190\) | −5.92727 | + | 13.8891i | −0.430009 | + | 1.00762i | ||||
\(191\) | 3.27557 | + | 4.50844i | 0.237012 | + | 0.326219i | 0.910910 | − | 0.412606i | \(-0.135381\pi\) |
−0.673898 | + | 0.738825i | \(0.735381\pi\) | |||||||
\(192\) | 1.64008 | + | 0.556890i | 0.118363 | + | 0.0401901i | ||||
\(193\) | −6.12138 | + | 6.12138i | −0.440626 | + | 0.440626i | −0.892222 | − | 0.451596i | \(-0.850855\pi\) |
0.451596 | + | 0.892222i | \(0.350855\pi\) | |||||||
\(194\) | −3.28733 | + | 10.1174i | −0.236016 | + | 0.726384i | ||||
\(195\) | −0.763280 | + | 7.42977i | −0.0546596 | + | 0.532057i | ||||
\(196\) | −0.922140 | − | 2.83806i | −0.0658671 | − | 0.202718i | ||||
\(197\) | 15.7984 | + | 8.04970i | 1.12559 | + | 0.573518i | 0.914757 | − | 0.404004i | \(-0.132382\pi\) |
0.210834 | + | 0.977522i | \(0.432382\pi\) | |||||||
\(198\) | 1.57860 | + | 12.0065i | 0.112186 | + | 0.853267i | ||||
\(199\) | 10.3594i | 0.734359i | 0.930150 | + | 0.367180i | \(0.119677\pi\) | ||||
−0.930150 | + | 0.367180i | \(0.880323\pi\) | |||||||
\(200\) | −4.99886 | − | 0.106572i | −0.353473 | − | 0.00753580i | ||||
\(201\) | −1.83237 | − | 1.88130i | −0.129246 | − | 0.132697i | ||||
\(202\) | 1.87101 | + | 11.8131i | 0.131644 | + | 0.831165i | ||||
\(203\) | −5.29109 | + | 10.3843i | −0.371362 | + | 0.728838i | ||||
\(204\) | 3.16936 | − | 6.02270i | 0.221899 | − | 0.421674i | ||||
\(205\) | 2.67201 | − | 1.07356i | 0.186621 | − | 0.0749808i | ||||
\(206\) | 2.75890 | + | 0.896420i | 0.192221 | + | 0.0624565i | ||||
\(207\) | −4.18959 | − | 4.41642i | −0.291197 | − | 0.306963i | ||||
\(208\) | −0.875501 | − | 1.71827i | −0.0607050 | − | 0.119140i | ||||
\(209\) | 22.0545 | − | 16.0235i | 1.52554 | − | 1.10837i | ||||
\(210\) | 6.51911 | + | 4.21184i | 0.449861 | + | 0.290645i | ||||
\(211\) | 17.8594 | + | 12.9756i | 1.22949 | + | 0.893278i | 0.996852 | − | 0.0792851i | \(-0.0252638\pi\) |
0.232640 | + | 0.972563i | \(0.425264\pi\) | |||||||
\(212\) | −1.70984 | + | 10.7955i | −0.117432 | + | 0.741439i | ||||
\(213\) | −0.546764 | − | 0.773793i | −0.0374636 | − | 0.0530194i | ||||
\(214\) | 8.64594 | − | 11.9001i | 0.591024 | − | 0.813475i | ||||
\(215\) | −10.8601 | − | 18.1536i | −0.740653 | − | 1.23806i | ||||
\(216\) | −5.09605 | − | 1.01503i | −0.346742 | − | 0.0690640i | ||||
\(217\) | 16.6527 | − | 8.48497i | 1.13046 | − | 0.575998i | ||||
\(218\) | −8.85726 | − | 8.85726i | −0.599889 | − | 0.599889i | ||||
\(219\) | 5.72192 | + | 11.6054i | 0.386652 | + | 0.784222i | ||||
\(220\) | 7.64536 | + | 4.79791i | 0.515450 | + | 0.323475i | ||||
\(221\) | −7.20658 | + | 2.34156i | −0.484767 | + | 0.157510i | ||||
\(222\) | −3.28540 | − | 10.5839i | −0.220502 | − | 0.710346i | ||||
\(223\) | 14.8047 | − | 2.34483i | 0.991395 | − | 0.157022i | 0.360391 | − | 0.932801i | \(-0.382643\pi\) |
0.631004 | + | 0.775780i | \(0.282643\pi\) | |||||||
\(224\) | −2.00397 | −0.133896 | ||||||||
\(225\) | 14.9103 | − | 1.63791i | 0.994020 | − | 0.109194i | ||||
\(226\) | −14.5645 | −0.968819 | ||||||||
\(227\) | −3.77582 | + | 0.598031i | −0.250610 | + | 0.0396927i | −0.280475 | − | 0.959861i | \(-0.590492\pi\) |
0.0298656 | + | 0.999554i | \(0.490492\pi\) | |||||||
\(228\) | 3.46774 | + | 11.1713i | 0.229657 | + | 0.739840i | ||||
\(229\) | −21.4172 | + | 6.95886i | −1.41529 | + | 0.459854i | −0.914101 | − | 0.405486i | \(-0.867102\pi\) |
−0.501185 | + | 0.865340i | \(0.667102\pi\) | |||||||
\(230\) | −4.52689 | + | 0.307767i | −0.298495 | + | 0.0202935i | ||||
\(231\) | −6.19584 | − | 12.5666i | −0.407656 | − | 0.826823i | ||||
\(232\) | −4.11237 | − | 4.11237i | −0.269990 | − | 0.269990i | ||||
\(233\) | 15.3187 | − | 7.80526i | 1.00356 | − | 0.511340i | 0.126626 | − | 0.991950i | \(-0.459585\pi\) |
0.876934 | + | 0.480611i | \(0.159585\pi\) | |||||||
\(234\) | 3.27605 | + | 4.76843i | 0.214162 | + | 0.311722i | ||||
\(235\) | −1.94832 | + | 2.23256i | −0.127094 | + | 0.145636i | ||||
\(236\) | 2.77504 | − | 3.81952i | 0.180640 | − | 0.248630i | ||||
\(237\) | 10.7290 | + | 15.1840i | 0.696926 | + | 0.986307i | ||||
\(238\) | −1.23179 | + | 7.77722i | −0.0798451 | + | 0.504122i | ||||
\(239\) | −2.77696 | − | 2.01758i | −0.179626 | − | 0.130506i | 0.494339 | − | 0.869269i | \(-0.335410\pi\) |
−0.673965 | + | 0.738763i | \(0.735410\pi\) | |||||||
\(240\) | −3.00415 | + | 2.44440i | −0.193917 | + | 0.157786i | ||||
\(241\) | −6.92845 | + | 5.03381i | −0.446300 | + | 0.324256i | −0.788133 | − | 0.615505i | \(-0.788952\pi\) |
0.341833 | + | 0.939761i | \(0.388952\pi\) | |||||||
\(242\) | −2.40357 | − | 4.71726i | −0.154507 | − | 0.303237i | ||||
\(243\) | 15.5546 | + | 1.02620i | 0.997831 | + | 0.0658306i | ||||
\(244\) | −0.509811 | − | 0.165648i | −0.0326373 | − | 0.0106045i | ||||
\(245\) | 6.47133 | + | 1.62677i | 0.413438 | + | 0.103930i | ||||
\(246\) | 1.03874 | − | 1.97391i | 0.0662276 | − | 0.125852i | ||||
\(247\) | 5.91258 | − | 11.6041i | 0.376209 | − | 0.738351i | ||||
\(248\) | 1.45897 | + | 9.21155i | 0.0926444 | + | 0.584934i | ||||
\(249\) | 4.07714 | + | 4.18602i | 0.258378 | + | 0.265278i | ||||
\(250\) | 6.14348 | − | 9.34118i | 0.388548 | − | 0.590788i | ||||
\(251\) | 11.9423i | 0.753789i | 0.926256 | + | 0.376894i | \(0.123008\pi\) | ||||
−0.926256 | + | 0.376894i | \(0.876992\pi\) | |||||||
\(252\) | 5.96061 | − | 0.783690i | 0.375483 | − | 0.0493678i | ||||
\(253\) | 7.29820 | + | 3.71862i | 0.458834 | + | 0.233787i | ||||
\(254\) | 1.13163 | + | 3.48281i | 0.0710050 | + | 0.218531i | ||||
\(255\) | 7.63993 | + | 13.1613i | 0.478431 | + | 0.824194i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 2.09358 | − | 2.09358i | 0.130594 | − | 0.130594i | −0.638789 | − | 0.769382i | \(-0.720564\pi\) |
0.769382 | + | 0.638789i | \(0.220564\pi\) | |||||||
\(258\) | −15.5158 | − | 5.26839i | −0.965973 | − | 0.327996i | ||||
\(259\) | 7.53654 | + | 10.3732i | 0.468298 | + | 0.644556i | ||||
\(260\) | 4.29501 | + | 0.384125i | 0.266366 | + | 0.0238224i | ||||
\(261\) | 13.8401 | + | 10.6236i | 0.856679 | + | 0.657586i | ||||
\(262\) | −2.44002 | − | 0.386461i | −0.150745 | − | 0.0238757i | ||||
\(263\) | 22.4419 | + | 3.55445i | 1.38383 | + | 0.219177i | 0.803547 | − | 0.595241i | \(-0.202943\pi\) |
0.580279 | + | 0.814418i | \(0.302943\pi\) | |||||||
\(264\) | 6.91936 | − | 1.00265i | 0.425857 | − | 0.0617091i | ||||
\(265\) | −18.4144 | − | 16.0699i | −1.13119 | − | 0.987169i | ||||
\(266\) | −7.95482 | − | 10.9489i | −0.487741 | − | 0.671318i | ||||
\(267\) | −7.90679 | + | 23.2861i | −0.483887 | + | 1.42509i | ||||
\(268\) | −1.07214 | + | 1.07214i | −0.0654913 | + | 0.0654913i | ||||
\(269\) | 3.72777 | − | 11.4729i | 0.227286 | − | 0.699515i | −0.770765 | − | 0.637119i | \(-0.780126\pi\) |
0.998051 | − | 0.0623960i | \(-0.0198742\pi\) | |||||||
\(270\) | 7.97961 | − | 8.44546i | 0.485623 | − | 0.513975i | ||||
\(271\) | 2.54786 | + | 7.84151i | 0.154772 | + | 0.476338i | 0.998138 | − | 0.0610015i | \(-0.0194294\pi\) |
−0.843366 | + | 0.537339i | \(0.819429\pi\) | |||||||
\(272\) | −3.50102 | − | 1.78386i | −0.212280 | − | 0.108162i | ||||
\(273\) | −5.36295 | − | 4.00542i | −0.324580 | − | 0.242419i | ||||
\(274\) | − | 4.53657i | − | 0.274064i | ||||||
\(275\) | −18.1745 | + | 8.77755i | −1.09596 | + | 0.529306i | ||||
\(276\) | −2.51773 | + | 2.45225i | −0.151550 | + | 0.147608i | ||||
\(277\) | 1.31490 | + | 8.30193i | 0.0790045 | + | 0.498815i | 0.995182 | + | 0.0980425i | \(0.0312581\pi\) |
−0.916178 | + | 0.400772i | \(0.868742\pi\) | |||||||
\(278\) | 2.60519 | − | 5.11297i | 0.156249 | − | 0.306656i | ||||
\(279\) | −7.94190 | − | 26.8283i | −0.475469 | − | 1.60617i | ||||
\(280\) | 2.38191 | − | 3.79552i | 0.142346 | − | 0.226826i | ||||
\(281\) | 0.214763 | + | 0.0697807i | 0.0128117 | + | 0.00416277i | 0.315416 | − | 0.948954i | \(-0.397856\pi\) |
−0.302604 | + | 0.953116i | \(0.597856\pi\) | |||||||
\(282\) | −0.0302405 | + | 2.29505i | −0.00180080 | + | 0.136668i | ||||
\(283\) | −10.2206 | − | 20.0591i | −0.607554 | − | 1.19239i | −0.965927 | − | 0.258813i | \(-0.916669\pi\) |
0.358374 | − | 0.933578i | \(-0.383331\pi\) | |||||||
\(284\) | −0.442552 | + | 0.321533i | −0.0262606 | + | 0.0190795i | ||||
\(285\) | −25.2803 | − | 6.71030i | −1.49747 | − | 0.397484i | ||||
\(286\) | −6.29775 | − | 4.57558i | −0.372394 | − | 0.270560i | ||||
\(287\) | −0.403712 | + | 2.54894i | −0.0238304 | + | 0.150459i | ||||
\(288\) | −0.547212 | + | 2.94967i | −0.0322448 | + | 0.173811i | ||||
\(289\) | 0.917376 | − | 1.26266i | 0.0539633 | − | 0.0742741i | ||||
\(290\) | 12.6768 | − | 2.90089i | 0.744406 | − | 0.170346i | ||||
\(291\) | −18.1592 | − | 3.12192i | −1.06451 | − | 0.183010i | ||||
\(292\) | 6.65629 | − | 3.39155i | 0.389530 | − | 0.198475i | ||||
\(293\) | −7.91375 | − | 7.91375i | −0.462326 | − | 0.462326i | 0.437091 | − | 0.899417i | \(-0.356009\pi\) |
−0.899417 | + | 0.437091i | \(0.856009\pi\) | |||||||
\(294\) | 4.63580 | − | 2.28563i | 0.270365 | − | 0.133301i | ||||
\(295\) | 3.93577 | + | 9.79580i | 0.229149 | + | 0.570334i | ||||
\(296\) | −6.08511 | + | 1.97717i | −0.353690 | + | 0.114921i | ||||
\(297\) | −20.1889 | + | 5.68825i | −1.17148 | + | 0.330066i | ||||
\(298\) | −15.1600 | + | 2.40111i | −0.878197 | + | 0.139093i | ||||
\(299\) | 3.91315 | 0.226303 | ||||||||
\(300\) | −1.05899 | − | 8.59526i | −0.0611406 | − | 0.496248i | ||||
\(301\) | 18.9583 | 1.09274 | ||||||||
\(302\) | −22.4161 | + | 3.55036i | −1.28990 | + | 0.204300i | ||||
\(303\) | −19.7846 | + | 6.14143i | −1.13660 | + | 0.352816i | ||||
\(304\) | 6.42284 | − | 2.08691i | 0.368375 | − | 0.119692i | ||||
\(305\) | 0.919696 | − | 0.768695i | 0.0526617 | − | 0.0440153i | ||||
\(306\) | 11.1110 | + | 3.93677i | 0.635176 | + | 0.225050i | ||||
\(307\) | −7.00526 | − | 7.00526i | −0.399811 | − | 0.399811i | 0.478355 | − | 0.878166i | \(-0.341233\pi\) |
−0.878166 | + | 0.478355i | \(0.841233\pi\) | |||||||
\(308\) | −7.20759 | + | 3.67245i | −0.410690 | + | 0.209257i | ||||
\(309\) | −0.851315 | + | 4.95182i | −0.0484296 | + | 0.281699i | ||||
\(310\) | −19.1808 | − | 8.18552i | −1.08940 | − | 0.464907i | ||||
\(311\) | 7.14665 | − | 9.83652i | 0.405249 | − | 0.557778i | −0.556802 | − | 0.830645i | \(-0.687972\pi\) |
0.962052 | + | 0.272867i | \(0.0879719\pi\) | |||||||
\(312\) | 2.72790 | − | 1.92754i | 0.154437 | − | 0.109125i | ||||
\(313\) | −3.84643 | + | 24.2854i | −0.217413 | + | 1.37269i | 0.601545 | + | 0.798839i | \(0.294552\pi\) |
−0.818958 | + | 0.573853i | \(0.805448\pi\) | |||||||
\(314\) | 0.493346 | + | 0.358437i | 0.0278411 | + | 0.0202278i | ||||
\(315\) | −5.60044 | + | 12.2209i | −0.315549 | + | 0.688569i | ||||
\(316\) | 8.68411 | − | 6.30938i | 0.488519 | − | 0.354930i | ||||
\(317\) | −4.73623 | − | 9.29537i | −0.266013 | − | 0.522080i | 0.718904 | − | 0.695110i | \(-0.244644\pi\) |
−0.984917 | + | 0.173030i | \(0.944644\pi\) | |||||||
\(318\) | −18.9298 | − | 0.249427i | −1.06153 | − | 0.0139872i | ||||
\(319\) | −22.3271 | − | 7.25450i | −1.25008 | − | 0.406174i | ||||
\(320\) | 1.43401 | + | 1.71570i | 0.0801634 | + | 0.0959106i | ||||
\(321\) | 22.5461 | + | 11.8645i | 1.25840 | + | 0.662215i | ||||
\(322\) | 1.84610 | − | 3.62317i | 0.102879 | − | 0.201911i | ||||
\(323\) | −4.15113 | − | 26.2092i | −0.230975 | − | 1.45832i | ||||
\(324\) | 0.474104 | − | 8.98750i | 0.0263391 | − | 0.499306i | ||||
\(325\) | −5.83257 | + | 7.67819i | −0.323533 | + | 0.425910i | ||||
\(326\) | − | 23.7082i | − | 1.31307i | ||||||
\(327\) | 12.9826 | − | 17.3827i | 0.717939 | − | 0.961266i | ||||
\(328\) | −1.14744 | − | 0.584649i | −0.0633567 | − | 0.0322818i | ||||
\(329\) | −0.820621 | − | 2.52561i | −0.0452423 | − | 0.139242i | ||||
\(330\) | −6.32530 | + | 14.2970i | −0.348196 | + | 0.787026i | ||||
\(331\) | 5.72324 | − | 17.6143i | 0.314578 | − | 0.968170i | −0.661350 | − | 0.750077i | \(-0.730016\pi\) |
0.975928 | − | 0.218093i | \(-0.0699837\pi\) | |||||||
\(332\) | 2.38558 | − | 2.38558i | 0.130926 | − | 0.130926i | ||||
\(333\) | 17.3263 | − | 8.26060i | 0.949478 | − | 0.452678i | ||||
\(334\) | −2.00103 | − | 2.75418i | −0.109492 | − | 0.150702i | ||||
\(335\) | −0.756293 | − | 3.30497i | −0.0413207 | − | 0.180570i | ||||
\(336\) | −0.497765 | − | 3.43510i | −0.0271553 | − | 0.187400i | ||||
\(337\) | 11.7295 | + | 1.85777i | 0.638947 | + | 0.101199i | 0.467498 | − | 0.883994i | \(-0.345155\pi\) |
0.171448 | + | 0.985193i | \(0.445155\pi\) | |||||||
\(338\) | 9.16679 | + | 1.45188i | 0.498608 | + | 0.0789717i | ||||
\(339\) | −3.61768 | − | 24.9658i | −0.196485 | − | 1.35595i | ||||
\(340\) | 7.53992 | − | 4.51064i | 0.408910 | − | 0.244624i | ||||
\(341\) | 22.1284 | + | 30.4571i | 1.19832 | + | 1.64934i | ||||
\(342\) | −18.2880 | + | 8.71907i | −0.988901 | + | 0.471473i | ||||
\(343\) | −14.1477 | + | 14.1477i | −0.763903 | + | 0.763903i | ||||
\(344\) | −2.92342 | + | 8.99736i | −0.157620 | + | 0.485105i | ||||
\(345\) | −1.65199 | − | 7.68332i | −0.0889402 | − | 0.413656i | ||||
\(346\) | 0.401998 | + | 1.23722i | 0.0216115 | + | 0.0665135i | ||||
\(347\) | −6.98295 | − | 3.55799i | −0.374864 | − | 0.191003i | 0.256400 | − | 0.966571i | \(-0.417464\pi\) |
−0.631264 | + | 0.775568i | \(0.717464\pi\) | |||||||
\(348\) | 6.02774 | − | 8.07068i | 0.323121 | − | 0.432634i | ||||
\(349\) | − | 9.37804i | − | 0.501995i | −0.967988 | − | 0.250997i | \(-0.919241\pi\) | ||
0.967988 | − | 0.250997i | \(-0.0807586\pi\) | |||||||
\(350\) | 4.35759 | + | 9.02268i | 0.232923 | + | 0.482282i | ||||
\(351\) | −7.36006 | + | 6.80006i | −0.392851 | + | 0.362961i | ||||
\(352\) | −0.631467 | − | 3.98692i | −0.0336573 | − | 0.212504i | ||||
\(353\) | −6.61368 | + | 12.9801i | −0.352010 | + | 0.690859i | −0.997328 | − | 0.0730551i | \(-0.976725\pi\) |
0.645317 | + | 0.763915i | \(0.276725\pi\) | |||||||
\(354\) | 7.23652 | + | 3.80811i | 0.384616 | + | 0.202399i | ||||
\(355\) | −0.0829681 | − | 1.22037i | −0.00440349 | − | 0.0647703i | ||||
\(356\) | 13.5032 | + | 4.38746i | 0.715669 | + | 0.232535i | ||||
\(357\) | −13.6373 | − | 0.179690i | −0.721761 | − | 0.00951021i | ||||
\(358\) | 10.4875 | + | 20.5829i | 0.554283 | + | 1.08784i | ||||
\(359\) | 9.55110 | − | 6.93928i | 0.504088 | − | 0.366241i | −0.306488 | − | 0.951874i | \(-0.599154\pi\) |
0.810576 | + | 0.585633i | \(0.199154\pi\) | |||||||
\(360\) | −4.93627 | − | 4.54239i | −0.260164 | − | 0.239405i | ||||
\(361\) | 21.5264 | + | 15.6398i | 1.13297 | + | 0.823148i | ||||
\(362\) | 2.53804 | − | 16.0246i | 0.133397 | − | 0.842233i | ||||
\(363\) | 7.48907 | − | 5.29179i | 0.393074 | − | 0.277747i | ||||
\(364\) | −2.27153 | + | 3.12650i | −0.119061 | + | 0.163873i | ||||
\(365\) | −1.48804 | + | 16.6382i | −0.0778875 | + | 0.870883i | ||||
\(366\) | 0.157313 | − | 0.915037i | 0.00822287 | − | 0.0478297i | ||||
\(367\) | −2.40607 | + | 1.22595i | −0.125596 | + | 0.0639943i | −0.515659 | − | 0.856794i | \(-0.672453\pi\) |
0.390064 | + | 0.920788i | \(0.372453\pi\) | |||||||
\(368\) | 1.43483 | + | 1.43483i | 0.0747959 | + | 0.0747959i | ||||
\(369\) | 3.64158 | + | 1.29025i | 0.189573 | + | 0.0671679i | ||||
\(370\) | 3.48797 | − | 13.8753i | 0.181331 | − | 0.721340i | ||||
\(371\) | 20.8315 | − | 6.76857i | 1.08152 | − | 0.351407i | ||||
\(372\) | −15.4276 | + | 4.78894i | −0.799882 | + | 0.248295i | ||||
\(373\) | −21.1854 | + | 3.35543i | −1.09694 | + | 0.173738i | −0.678566 | − | 0.734539i | \(-0.737398\pi\) |
−0.418370 | + | 0.908277i | \(0.637398\pi\) | |||||||
\(374\) | −15.8610 | −0.820154 | ||||||||
\(375\) | 17.5381 | + | 8.21057i | 0.905666 | + | 0.423992i | ||||
\(376\) | 1.32516 | 0.0683401 | ||||||||
\(377\) | −11.0774 | + | 1.75448i | −0.570514 | + | 0.0903605i | ||||
\(378\) | 2.82391 | + | 10.0227i | 0.145246 | + | 0.515512i | ||||
\(379\) | −10.0630 | + | 3.26966i | −0.516901 | + | 0.167951i | −0.555838 | − | 0.831290i | \(-0.687603\pi\) |
0.0389376 | + | 0.999242i | \(0.487603\pi\) | |||||||
\(380\) | −3.68156 | + | 14.6454i | −0.188860 | + | 0.751291i | ||||
\(381\) | −5.68896 | + | 2.80488i | −0.291454 | + | 0.143698i | ||||
\(382\) | 3.94052 | + | 3.94052i | 0.201614 | + | 0.201614i | ||||
\(383\) | −0.124163 | + | 0.0632642i | −0.00634444 | + | 0.00323265i | −0.457160 | − | 0.889385i | \(-0.651133\pi\) |
0.450815 | + | 0.892617i | \(0.351133\pi\) | |||||||
\(384\) | 1.70701 | + | 0.293468i | 0.0871104 | + | 0.0149760i | ||||
\(385\) | 1.61128 | − | 18.0162i | 0.0821187 | − | 0.918192i | ||||
\(386\) | −5.08842 | + | 7.00360i | −0.258994 | + | 0.356474i | ||||
\(387\) | 5.17684 | − | 27.9050i | 0.263153 | − | 1.41849i | ||||
\(388\) | −1.66415 | + | 10.5070i | −0.0844846 | + | 0.533415i | ||||
\(389\) | −28.0002 | − | 20.3434i | −1.41967 | − | 1.03145i | −0.991826 | − | 0.127596i | \(-0.959274\pi\) |
−0.427842 | − | 0.903854i | \(-0.640726\pi\) | |||||||
\(390\) | 0.408390 | + | 7.45770i | 0.0206796 | + | 0.377635i | ||||
\(391\) | 6.45042 | − | 4.68650i | 0.326212 | − | 0.237007i | ||||
\(392\) | −1.35476 | − | 2.65886i | −0.0684255 | − | 0.134293i | ||||
\(393\) | 0.0563759 | − | 4.27855i | 0.00284379 | − | 0.215824i | ||||
\(394\) | 16.8632 | + | 5.47918i | 0.849555 | + | 0.276037i | ||||
\(395\) | 1.62807 | + | 23.9470i | 0.0819170 | + | 1.20490i | ||||
\(396\) | 3.43740 | + | 11.6118i | 0.172736 | + | 0.583513i | ||||
\(397\) | 13.8341 | − | 27.1510i | 0.694315 | − | 1.36267i | −0.227017 | − | 0.973891i | \(-0.572897\pi\) |
0.921331 | − | 0.388778i | \(-0.127103\pi\) | |||||||
\(398\) | 1.62057 | + | 10.2319i | 0.0812318 | + | 0.512877i | ||||
\(399\) | 16.7921 | − | 16.3553i | 0.840656 | − | 0.818790i | ||||
\(400\) | −4.95399 | + | 0.676734i | −0.247700 | + | 0.0338367i | ||||
\(401\) | − | 0.718503i | − | 0.0358803i | −0.999839 | − | 0.0179402i | \(-0.994289\pi\) | ||
0.999839 | − | 0.0179402i | \(-0.00571084\pi\) | |||||||
\(402\) | −2.10411 | − | 1.57150i | −0.104944 | − | 0.0783791i | ||||
\(403\) | 16.0252 | + | 8.16524i | 0.798272 | + | 0.406740i | ||||
\(404\) | 3.69594 | + | 11.3749i | 0.183880 | + | 0.565925i | ||||
\(405\) | 16.4588 | + | 11.5805i | 0.817846 | + | 0.575438i | ||||
\(406\) | −3.60148 | + | 11.0842i | −0.178738 | + | 0.550100i | ||||
\(407\) | −18.2627 | + | 18.2627i | −0.905248 | + | 0.905248i | ||||
\(408\) | 2.18818 | − | 6.44435i | 0.108331 | − | 0.319043i | ||||
\(409\) | 1.73765 | + | 2.39167i | 0.0859211 | + | 0.118260i | 0.849814 | − | 0.527083i | \(-0.176714\pi\) |
−0.763893 | + | 0.645343i | \(0.776714\pi\) | |||||||
\(410\) | 2.47117 | − | 1.47834i | 0.122042 | − | 0.0730099i | ||||
\(411\) | 7.77635 | − | 1.12684i | 0.383579 | − | 0.0555828i | ||||
\(412\) | 2.86516 | + | 0.453797i | 0.141156 | + | 0.0223570i | ||||
\(413\) | −9.34463 | − | 1.48004i | −0.459819 | − | 0.0728282i | ||||
\(414\) | −4.82889 | − | 3.70665i | −0.237327 | − | 0.182172i | ||||
\(415\) | 1.68280 | + | 7.35377i | 0.0826053 | + | 0.360982i | ||||
\(416\) | −1.13352 | − | 1.56015i | −0.0555753 | − | 0.0764928i | ||||
\(417\) | 9.41149 | + | 3.19567i | 0.460883 | + | 0.156493i | ||||
\(418\) | 19.2763 | − | 19.2763i | 0.942835 | − | 0.942835i | ||||
\(419\) | 0.976706 | − | 3.00599i | 0.0477152 | − | 0.146852i | −0.924360 | − | 0.381521i | \(-0.875400\pi\) |
0.972075 | + | 0.234668i | \(0.0754005\pi\) | |||||||
\(420\) | 7.09772 | + | 3.14018i | 0.346333 | + | 0.153225i | ||||
\(421\) | −3.57566 | − | 11.0047i | −0.174267 | − | 0.536338i | 0.825332 | − | 0.564647i | \(-0.190988\pi\) |
−0.999599 | + | 0.0283089i | \(0.990988\pi\) | |||||||
\(422\) | 19.6694 | + | 10.0220i | 0.957489 | + | 0.487865i | ||||
\(423\) | −3.94157 | + | 0.518230i | −0.191646 | + | 0.0251972i | ||||
\(424\) | 10.9301i | 0.530812i | ||||||||
\(425\) | −0.418753 | + | 19.6420i | −0.0203125 | + | 0.952775i | ||||
\(426\) | −0.661080 | − | 0.678734i | −0.0320294 | − | 0.0328848i | ||||
\(427\) | 0.168045 | + | 1.06100i | 0.00813228 | + | 0.0513452i | ||||
\(428\) | 6.67790 | − | 13.1061i | 0.322789 | − | 0.633508i | ||||
\(429\) | 6.27893 | − | 11.9318i | 0.303149 | − | 0.576073i | ||||
\(430\) | −13.5662 | − | 16.2312i | −0.654223 | − | 0.782737i | ||||
\(431\) | −24.8006 | − | 8.05821i | −1.19460 | − | 0.388150i | −0.356831 | − | 0.934169i | \(-0.616143\pi\) |
−0.837773 | + | 0.546019i | \(0.816143\pi\) | |||||||
\(432\) | −5.19209 | − | 0.205335i | −0.249805 | − | 0.00987916i | ||||
\(433\) | 6.52479 | + | 12.8056i | 0.313561 | + | 0.615399i | 0.992971 | − | 0.118361i | \(-0.0377639\pi\) |
−0.679409 | + | 0.733759i | \(0.737764\pi\) | |||||||
\(434\) | 15.1203 | − | 10.9856i | 0.725799 | − | 0.527324i | ||||
\(435\) | 8.12133 | + | 21.0093i | 0.389388 | + | 1.00732i | ||||
\(436\) | −10.1338 | − | 7.36263i | −0.485321 | − | 0.352606i | ||||
\(437\) | −2.14373 | + | 13.5350i | −0.102548 | + | 0.647466i | ||||
\(438\) | 7.46697 | + | 10.5674i | 0.356785 | + | 0.504932i | ||||
\(439\) | 2.49050 | − | 3.42787i | 0.118865 | − | 0.163604i | −0.745438 | − | 0.666575i | \(-0.767760\pi\) |
0.864303 | + | 0.502971i | \(0.167760\pi\) | |||||||
\(440\) | 8.30180 | + | 3.54284i | 0.395773 | + | 0.168898i | ||||
\(441\) | 5.06939 | + | 7.37871i | 0.241399 | + | 0.351367i | ||||
\(442\) | −6.75156 | + | 3.44009i | −0.321139 | + | 0.163628i | ||||
\(443\) | 18.5118 | + | 18.5118i | 0.879523 | + | 0.879523i | 0.993485 | − | 0.113962i | \(-0.0363542\pi\) |
−0.113962 | + | 0.993485i | \(0.536354\pi\) | |||||||
\(444\) | −4.90064 | − | 9.93967i | −0.232574 | − | 0.471716i | ||||
\(445\) | −24.3597 | + | 20.3602i | −1.15476 | + | 0.965165i | ||||
\(446\) | 14.2556 | − | 4.63193i | 0.675022 | − | 0.219328i | ||||
\(447\) | −7.88146 | − | 25.3901i | −0.372780 | − | 1.20091i | ||||
\(448\) | −1.97930 | + | 0.313490i | −0.0935130 | + | 0.0148110i | ||||
\(449\) | −36.0779 | −1.70262 | −0.851311 | − | 0.524662i | \(-0.824192\pi\) | ||||
−0.851311 | + | 0.524662i | \(0.824192\pi\) | |||||||
\(450\) | 14.4705 | − | 3.95023i | 0.682146 | − | 0.186216i | ||||
\(451\) | −5.19836 | −0.244781 | ||||||||
\(452\) | −14.3852 | + | 2.27840i | −0.676624 | + | 0.107167i | ||||
\(453\) | −11.6538 | − | 37.5426i | −0.547542 | − | 1.76391i | ||||
\(454\) | −3.63578 | + | 1.18134i | −0.170635 | + | 0.0554428i | ||||
\(455\) | −3.22166 | − | 8.01843i | −0.151034 | − | 0.375910i | ||||
\(456\) | 5.17263 | + | 10.4913i | 0.242231 | + | 0.491301i | ||||
\(457\) | 12.7889 | + | 12.7889i | 0.598241 | + | 0.598241i | 0.939844 | − | 0.341604i | \(-0.110970\pi\) |
−0.341604 | + | 0.939844i | \(0.610970\pi\) | |||||||
\(458\) | −20.0649 | + | 10.2236i | −0.937570 | + | 0.477716i | ||||
\(459\) | −3.98834 | + | 20.0238i | −0.186160 | + | 0.934632i | ||||
\(460\) | −4.42302 | + | 1.01214i | −0.206224 | + | 0.0471913i | ||||
\(461\) | −10.1363 | + | 13.9514i | −0.472092 | + | 0.649779i | −0.976961 | − | 0.213417i | \(-0.931541\pi\) |
0.504869 | + | 0.863196i | \(0.331541\pi\) | |||||||
\(462\) | −8.08541 | − | 11.4427i | −0.376167 | − | 0.532361i | ||||
\(463\) | −0.946894 | + | 5.97845i | −0.0440059 | + | 0.277842i | −0.999873 | − | 0.0159582i | \(-0.994920\pi\) |
0.955867 | + | 0.293800i | \(0.0949201\pi\) | |||||||
\(464\) | −4.70506 | − | 3.41843i | −0.218427 | − | 0.158696i | ||||
\(465\) | 9.26688 | − | 34.9119i | 0.429741 | − | 1.61900i | ||||
\(466\) | 13.9091 | − | 10.1055i | 0.644325 | − | 0.468130i | ||||
\(467\) | 0.901038 | + | 1.76839i | 0.0416951 | + | 0.0818311i | 0.910914 | − | 0.412596i | \(-0.135378\pi\) |
−0.869219 | + | 0.494427i | \(0.835378\pi\) | |||||||
\(468\) | 3.98166 | + | 4.19724i | 0.184053 | + | 0.194017i | ||||
\(469\) | 2.88977 | + | 0.938944i | 0.133437 | + | 0.0433564i | ||||
\(470\) | −1.57508 | + | 2.50986i | −0.0726532 | + | 0.115771i | ||||
\(471\) | −0.491872 | + | 0.934700i | −0.0226643 | + | 0.0430687i | ||||
\(472\) | 2.14337 | − | 4.20661i | 0.0986568 | − | 0.193625i | ||||
\(473\) | 5.97392 | + | 37.7178i | 0.274681 | + | 1.73427i | ||||
\(474\) | 12.9722 | + | 13.3187i | 0.595835 | + | 0.611747i | ||||
\(475\) | −23.3624 | − | 24.3803i | −1.07194 | − | 1.11864i | ||||
\(476\) | 7.87416i | 0.360912i | ||||||||
\(477\) | −4.27442 | − | 32.5105i | −0.195712 | − | 1.48855i | ||||
\(478\) | −3.05839 | − | 1.55833i | −0.139887 | − | 0.0712762i | ||||
\(479\) | 10.9260 | + | 33.6268i | 0.499222 | + | 1.53645i | 0.810273 | + | 0.586053i | \(0.199319\pi\) |
−0.311051 | + | 0.950393i | \(0.600681\pi\) | |||||||
\(480\) | −2.58477 | + | 2.88426i | −0.117978 | + | 0.131648i | ||||
\(481\) | −3.81289 | + | 11.7349i | −0.173853 | + | 0.535064i | ||||
\(482\) | −6.05568 | + | 6.05568i | −0.275829 | + | 0.275829i | ||||
\(483\) | 6.66920 | + | 2.26453i | 0.303459 | + | 0.103039i | ||||
\(484\) | −3.11192 | − | 4.28319i | −0.141451 | − | 0.194690i | ||||
\(485\) | −17.9224 | − | 15.6405i | −0.813812 | − | 0.710200i | ||||
\(486\) | 15.5237 | − | 1.41972i | 0.704168 | − | 0.0643998i | ||||
\(487\) | 24.6253 | + | 3.90026i | 1.11588 | + | 0.176738i | 0.687023 | − | 0.726636i | \(-0.258917\pi\) |
0.428855 | + | 0.903373i | \(0.358917\pi\) | |||||||
\(488\) | −0.529448 | − | 0.0838563i | −0.0239670 | − | 0.00379599i | ||||
\(489\) | 40.6393 | − | 5.88886i | 1.83777 | − | 0.266303i | ||||
\(490\) | 6.64614 | + | 0.594399i | 0.300242 | + | 0.0268522i | ||||
\(491\) | −3.22682 | − | 4.44133i | −0.145624 | − | 0.200434i | 0.729974 | − | 0.683475i | \(-0.239532\pi\) |
−0.875598 | + | 0.483041i | \(0.839532\pi\) | |||||||
\(492\) | 0.717163 | − | 2.11210i | 0.0323322 | − | 0.0952208i | ||||
\(493\) | −16.1587 | + | 16.1587i | −0.727750 | + | 0.727750i | ||||
\(494\) | 4.02451 | − | 12.3862i | 0.181071 | − | 0.557280i | ||||
\(495\) | −26.0784 | − | 7.29126i | −1.17214 | − | 0.327718i | ||||
\(496\) | 2.88201 | + | 8.86991i | 0.129406 | + | 0.398271i | ||||
\(497\) | 0.976739 | + | 0.497673i | 0.0438127 | + | 0.0223237i | ||||
\(498\) | 4.68178 | + | 3.49668i | 0.209796 | + | 0.156690i | ||||
\(499\) | 0.383555i | 0.0171703i | 0.999963 | + | 0.00858514i | \(0.00273277\pi\) | ||||
−0.999963 | + | 0.00858514i | \(0.997267\pi\) | |||||||
\(500\) | 4.60656 | − | 10.1872i | 0.206012 | − | 0.455587i | ||||
\(501\) | 4.22404 | − | 4.11417i | 0.188716 | − | 0.183808i | ||||
\(502\) | 1.86818 | + | 11.7952i | 0.0833810 | + | 0.526447i | ||||
\(503\) | 3.58816 | − | 7.04217i | 0.159988 | − | 0.313995i | −0.797072 | − | 0.603885i | \(-0.793619\pi\) |
0.957060 | + | 0.289890i | \(0.0936187\pi\) | |||||||
\(504\) | 5.76463 | − | 1.70649i | 0.256777 | − | 0.0760129i | ||||
\(505\) | −25.9371 | − | 6.52009i | −1.15419 | − | 0.290140i | ||||
\(506\) | 7.79006 | + | 2.53115i | 0.346311 | + | 0.112523i | ||||
\(507\) | −0.211796 | + | 16.0739i | −0.00940619 | + | 0.713866i | ||||
\(508\) | 1.66253 | + | 3.26290i | 0.0737630 | + | 0.144768i | ||||
\(509\) | 20.5303 | − | 14.9162i | 0.909990 | − | 0.661147i | −0.0310220 | − | 0.999519i | \(-0.509876\pi\) |
0.941012 | + | 0.338372i | \(0.109876\pi\) | |||||||
\(510\) | 9.60475 | + | 11.8041i | 0.425305 | + | 0.522696i | ||||
\(511\) | −12.1116 | − | 8.79956i | −0.535784 | − | 0.389270i | ||||
\(512\) | 0.156434 | − | 0.987688i | 0.00691349 | − | 0.0436501i | ||||
\(513\) | −19.4883 | − | 29.1826i | −0.860430 | − | 1.28844i | ||||
\(514\) | 1.74029 | − | 2.39531i | 0.0767611 | − | 0.105653i | ||||
\(515\) | −4.26501 | + | 4.88724i | −0.187939 | + | 0.215357i | ||||
\(516\) | −16.1490 | − | 2.77632i | −0.710918 | − | 0.122221i | ||||
\(517\) | 4.76616 | − | 2.42848i | 0.209615 | − | 0.106804i | ||||
\(518\) | 9.06647 | + | 9.06647i | 0.398358 | + | 0.398358i | ||||
\(519\) | −2.02093 | + | 0.996397i | −0.0887090 | + | 0.0437370i | ||||
\(520\) | 4.30223 | − | 0.292492i | 0.188665 | − | 0.0128266i | ||||
\(521\) | −19.7375 | + | 6.41311i | −0.864716 | + | 0.280963i | −0.707597 | − | 0.706616i | \(-0.750221\pi\) |
−0.157119 | + | 0.987580i | \(0.550221\pi\) | |||||||
\(522\) | 15.3316 | + | 8.32777i | 0.671045 | + | 0.364496i | ||||
\(523\) | 17.5234 | − | 2.77544i | 0.766246 | − | 0.121361i | 0.238937 | − | 0.971035i | \(-0.423201\pi\) |
0.527309 | + | 0.849674i | \(0.323201\pi\) | |||||||
\(524\) | −2.47044 | −0.107922 | ||||||||
\(525\) | −14.3838 | + | 9.71069i | −0.627761 | + | 0.423809i | ||||
\(526\) | 22.7216 | 0.990710 | ||||||||
\(527\) | 36.1948 | − | 5.73269i | 1.57667 | − | 0.249720i | ||||
\(528\) | 6.67733 | − | 2.07274i | 0.290593 | − | 0.0902043i | ||||
\(529\) | 17.9583 | − | 5.83501i | 0.780797 | − | 0.253696i | ||||
\(530\) | −20.7016 | − | 12.9914i | −0.899220 | − | 0.564313i | ||||
\(531\) | −4.73018 | + | 13.3504i | −0.205272 | + | 0.579356i | ||||
\(532\) | −9.56966 | − | 9.56966i | −0.414898 | − | 0.414898i | ||||
\(533\) | −2.21278 | + | 1.12747i | −0.0958463 | + | 0.0488361i | ||||
\(534\) | −4.16669 | + | 24.2363i | −0.180311 | + | 1.04881i | ||||
\(535\) | 16.8857 | + | 28.2258i | 0.730032 | + | 1.22031i | ||||
\(536\) | −0.891220 | + | 1.22666i | −0.0384948 | + | 0.0529836i | ||||
\(537\) | −32.6772 | + | 23.0897i | −1.41012 | + | 0.996396i | ||||
\(538\) | 1.88712 | − | 11.9148i | 0.0813595 | − | 0.513684i | ||||
\(539\) | −9.74519 | − | 7.08029i | −0.419755 | − | 0.304970i | ||||
\(540\) | 6.56020 | − | 9.58977i | 0.282306 | − | 0.412678i | ||||
\(541\) | 10.0053 | − | 7.26924i | 0.430160 | − | 0.312529i | −0.351553 | − | 0.936168i | \(-0.614346\pi\) |
0.781713 | + | 0.623639i | \(0.214346\pi\) | |||||||
\(542\) | 3.74318 | + | 7.34640i | 0.160783 | + | 0.315555i | ||||
\(543\) | 28.0989 | + | 0.370243i | 1.20584 | + | 0.0158886i | ||||
\(544\) | −3.73697 | − | 1.21422i | −0.160221 | − | 0.0520591i | ||||
\(545\) | 25.9898 | − | 10.4422i | 1.11328 | − | 0.447296i | ||||
\(546\) | −5.92351 | − | 3.11716i | −0.253503 | − | 0.133402i | ||||
\(547\) | −12.0831 | + | 23.7144i | −0.516636 | + | 1.01396i | 0.474393 | + | 0.880313i | \(0.342667\pi\) |
−0.991030 | + | 0.133643i | \(0.957333\pi\) | |||||||
\(548\) | −0.709676 | − | 4.48072i | −0.0303159 | − | 0.191407i | ||||
\(549\) | 1.60758 | + | 0.0423717i | 0.0686100 | + | 0.00180838i | ||||
\(550\) | −16.5776 | + | 11.5126i | −0.706872 | + | 0.490899i | ||||
\(551\) | − | 39.2761i | − | 1.67322i | ||||||
\(552\) | −2.10312 | + | 2.81592i | −0.0895147 | + | 0.119853i | ||||
\(553\) | −19.1664 | − | 9.76575i | −0.815036 | − | 0.415282i | ||||
\(554\) | 2.59742 | + | 7.99403i | 0.110354 | + | 0.339634i | ||||
\(555\) | 24.6506 | + | 2.53242i | 1.04636 | + | 0.107495i | ||||
\(556\) | 1.77327 | − | 5.45757i | 0.0752034 | − | 0.231452i | ||||
\(557\) | 28.3195 | − | 28.3195i | 1.19993 | − | 1.19993i | 0.225748 | − | 0.974186i | \(-0.427517\pi\) |
0.974186 | − | 0.225748i | \(-0.0724825\pi\) | |||||||
\(558\) | −12.0410 | − | 25.2556i | −0.509736 | − | 1.06915i | ||||
\(559\) | 10.7235 | + | 14.7597i | 0.453556 | + | 0.624267i | ||||
\(560\) | 1.75883 | − | 4.12140i | 0.0743243 | − | 0.174161i | ||||
\(561\) | −3.93971 | − | 27.1881i | −0.166335 | − | 1.14788i | ||||
\(562\) | 0.223035 | + | 0.0353253i | 0.00940816 | + | 0.00149011i | ||||
\(563\) | −8.73181 | − | 1.38298i | −0.368002 | − | 0.0582858i | −0.0303051 | − | 0.999541i | \(-0.509648\pi\) |
−0.337697 | + | 0.941255i | \(0.609648\pi\) | |||||||
\(564\) | 0.329157 | + | 2.27153i | 0.0138600 | + | 0.0956485i | ||||
\(565\) | 12.7829 | − | 29.9537i | 0.537782 | − | 1.26016i | ||||
\(566\) | −13.2327 | − | 18.2133i | −0.556214 | − | 0.765563i | ||||
\(567\) | −16.4790 | + | 7.33014i | −0.692051 | + | 0.307837i | ||||
\(568\) | −0.386804 | + | 0.386804i | −0.0162300 | + | 0.0162300i | ||||
\(569\) | 7.02196 | − | 21.6114i | 0.294376 | − | 0.905996i | −0.689054 | − | 0.724710i | \(-0.741974\pi\) |
0.983430 | − | 0.181286i | \(-0.0580261\pi\) | |||||||
\(570\) | −26.0188 | − | 2.67298i | −1.08981 | − | 0.111959i | ||||
\(571\) | −8.54837 | − | 26.3092i | −0.357738 | − | 1.10101i | −0.954405 | − | 0.298516i | \(-0.903508\pi\) |
0.596666 | − | 0.802489i | \(-0.296492\pi\) | |||||||
\(572\) | −6.93599 | − | 3.53406i | −0.290008 | − | 0.147767i | ||||
\(573\) | −5.77584 | + | 7.73341i | −0.241289 | + | 0.323068i | ||||
\(574\) | 2.58071i | 0.107717i | ||||||||
\(575\) | 3.34018 | − | 9.58022i | 0.139295 | − | 0.399523i | ||||
\(576\) | −0.0790447 | + | 2.99896i | −0.00329353 | + | 0.124957i | ||||
\(577\) | 1.72432 | + | 10.8869i | 0.0717842 | + | 0.453228i | 0.997232 | + | 0.0743526i | \(0.0236890\pi\) |
−0.925448 | + | 0.378875i | \(0.876311\pi\) | |||||||
\(578\) | 0.708558 | − | 1.39062i | 0.0294721 | − | 0.0578423i | ||||
\(579\) | −13.2691 | − | 6.98268i | −0.551446 | − | 0.290190i | ||||
\(580\) | 12.0669 | − | 4.84826i | 0.501051 | − | 0.201313i | ||||
\(581\) | −6.42992 | − | 2.08921i | −0.266758 | − | 0.0866750i | ||||
\(582\) | −18.4240 | − | 0.242762i | −0.763699 | − | 0.0100628i | ||||
\(583\) | 20.0303 | + | 39.3117i | 0.829572 | + | 1.62813i | ||||
\(584\) | 6.04378 | − | 4.39106i | 0.250093 | − | 0.181704i | ||||
\(585\) | −12.6822 | + | 2.55246i | −0.524343 | + | 0.105531i | ||||
\(586\) | −9.05430 | − | 6.57833i | −0.374030 | − | 0.271749i | ||||
\(587\) | −3.29168 | + | 20.7828i | −0.135862 | + | 0.857800i | 0.821773 | + | 0.569815i | \(0.192985\pi\) |
−0.957635 | + | 0.287985i | \(0.907015\pi\) | |||||||
\(588\) | 4.22117 | − | 2.98269i | 0.174078 | − | 0.123004i | ||||
\(589\) | −37.0213 | + | 50.9555i | −1.52544 | + | 2.09958i | ||||
\(590\) | 5.41972 | + | 9.05951i | 0.223126 | + | 0.372974i | ||||
\(591\) | −5.20348 | + | 30.2669i | −0.214043 | + | 1.24502i | ||||
\(592\) | −5.70089 | + | 2.90475i | −0.234305 | + | 0.119385i | ||||
\(593\) | 10.8276 | + | 10.8276i | 0.444635 | + | 0.444635i | 0.893566 | − | 0.448931i | \(-0.148195\pi\) |
−0.448931 | + | 0.893566i | \(0.648195\pi\) | |||||||
\(594\) | −19.0505 | + | 8.77645i | −0.781650 | + | 0.360102i | ||||
\(595\) | −14.9137 | − | 9.35920i | −0.611401 | − | 0.383690i | ||||
\(596\) | −14.5978 | + | 4.74310i | −0.597948 | + | 0.194285i | ||||
\(597\) | −17.1364 | + | 5.31939i | −0.701346 | + | 0.217708i | ||||
\(598\) | 3.86497 | − | 0.612151i | 0.158050 | − | 0.0250327i | ||||
\(599\) | 20.9614 | 0.856459 | 0.428230 | − | 0.903670i | \(-0.359137\pi\) | ||||
0.428230 | + | 0.903670i | \(0.359137\pi\) | |||||||
\(600\) | −2.39054 | − | 8.32378i | −0.0975935 | − | 0.339817i | ||||
\(601\) | −24.3199 | −0.992029 | −0.496015 | − | 0.868314i | \(-0.665204\pi\) | ||||
−0.496015 | + | 0.868314i | \(0.665204\pi\) | |||||||
\(602\) | 18.7249 | − | 2.96573i | 0.763170 | − | 0.120874i | ||||
\(603\) | 2.17114 | − | 3.99710i | 0.0884156 | − | 0.162775i | ||||
\(604\) | −21.5847 | + | 7.01330i | −0.878270 | + | 0.285367i | ||||
\(605\) | 11.8112 | − | 0.802997i | 0.480192 | − | 0.0326465i | ||||
\(606\) | −18.5803 | + | 9.16081i | −0.754773 | + | 0.372133i | ||||
\(607\) | −12.8780 | − | 12.8780i | −0.522702 | − | 0.522702i | 0.395685 | − | 0.918386i | \(-0.370507\pi\) |
−0.918386 | + | 0.395685i | \(0.870507\pi\) | |||||||
\(608\) | 6.01730 | − | 3.06597i | 0.244034 | − | 0.124341i | ||||
\(609\) | −19.8945 | − | 3.42026i | −0.806168 | − | 0.138596i | ||||
\(610\) | 0.788123 | − | 0.903103i | 0.0319102 | − | 0.0365656i | ||||
\(611\) | 1.50210 | − | 2.06746i | 0.0607683 | − | 0.0836404i | ||||
\(612\) | 11.5901 | + | 2.15015i | 0.468502 | + | 0.0869147i | ||||
\(613\) | 1.91504 | − | 12.0911i | 0.0773477 | − | 0.488354i | −0.918356 | − | 0.395756i | \(-0.870483\pi\) |
0.995704 | − | 0.0925984i | \(-0.0295173\pi\) | |||||||
\(614\) | −8.01488 | − | 5.82315i | −0.323454 | − | 0.235003i | ||||
\(615\) | 3.14790 | + | 3.86874i | 0.126936 | + | 0.156003i | ||||
\(616\) | −6.54435 | + | 4.75475i | −0.263679 | + | 0.191574i | ||||
\(617\) | −11.6432 | − | 22.8510i | −0.468737 | − | 0.919948i | −0.997465 | − | 0.0711569i | \(-0.977331\pi\) |
0.528728 | − | 0.848791i | \(-0.322669\pi\) | |||||||
\(618\) | −0.0661986 | + | 5.02403i | −0.00266290 | + | 0.202096i | ||||
\(619\) | −28.2577 | − | 9.18149i | −1.13577 | − | 0.369035i | −0.320006 | − | 0.947415i | \(-0.603685\pi\) |
−0.815767 | + | 0.578380i | \(0.803685\pi\) | |||||||
\(620\) | −20.2252 | − | 5.08421i | −0.812262 | − | 0.204187i | ||||
\(621\) | 5.15431 | − | 9.19813i | 0.206835 | − | 0.369108i | ||||
\(622\) | 5.51989 | − | 10.8334i | 0.221328 | − | 0.434380i | ||||
\(623\) | −4.45096 | − | 28.1023i | −0.178324 | − | 1.12589i | ||||
\(624\) | 2.39278 | − | 2.33054i | 0.0957878 | − | 0.0932964i | ||||
\(625\) | 13.8193 | + | 20.8333i | 0.552772 | + | 0.833333i | ||||
\(626\) | 24.5881i | 0.982739i | ||||||||
\(627\) | 37.8305 | + | 28.2544i | 1.51080 | + | 1.12837i | ||||
\(628\) | 0.543344 | + | 0.276848i | 0.0216818 | + | 0.0110474i | ||||
\(629\) | 7.76887 | + | 23.9101i | 0.309765 | + | 0.953359i | ||||
\(630\) | −3.61973 | + | 12.9465i | −0.144213 | + | 0.515802i | ||||
\(631\) | −0.858936 | + | 2.64353i | −0.0341937 | + | 0.105237i | −0.966697 | − | 0.255925i | \(-0.917620\pi\) |
0.932503 | + | 0.361162i | \(0.117620\pi\) | |||||||
\(632\) | 7.59019 | − | 7.59019i | 0.301922 | − | 0.301922i | ||||
\(633\) | −12.2936 | + | 36.2055i | −0.488626 | + | 1.43904i | ||||
\(634\) | −6.13203 | − | 8.44002i | −0.243534 | − | 0.335196i | ||||
\(635\) | −8.15602 | − | 0.729435i | −0.323662 | − | 0.0289468i | ||||
\(636\) | −18.7358 | + | 2.71492i | −0.742922 | + | 0.107654i | ||||
\(637\) | −5.68387 | − | 0.900236i | −0.225203 | − | 0.0356687i | ||||
\(638\) | −23.1870 | − | 3.67247i | −0.917984 | − | 0.145394i | ||||
\(639\) | 0.999245 | − | 1.30178i | 0.0395295 | − | 0.0514976i | ||||
\(640\) | 1.68475 | + | 1.47025i | 0.0665954 | + | 0.0581167i | ||||
\(641\) | −18.3443 | − | 25.2487i | −0.724554 | − | 0.997264i | −0.999360 | − | 0.0357639i | \(-0.988614\pi\) |
0.274806 | − | 0.961500i | \(-0.411386\pi\) | |||||||
\(642\) | 24.1246 | + | 8.19149i | 0.952120 | + | 0.323292i | ||||
\(643\) | 23.9422 | − | 23.9422i | 0.944188 | − | 0.944188i | −0.0543345 | − | 0.998523i | \(-0.517304\pi\) |
0.998523 | + | 0.0543345i | \(0.0173037\pi\) | |||||||
\(644\) | 1.25658 | − | 3.86736i | 0.0495162 | − | 0.152395i | ||||
\(645\) | 24.4529 | − | 27.2862i | 0.962833 | − | 1.07439i | ||||
\(646\) | −8.20005 | − | 25.2372i | −0.322627 | − | 0.992942i | ||||
\(647\) | 0.500806 | + | 0.255174i | 0.0196887 | + | 0.0100319i | 0.463807 | − | 0.885936i | \(-0.346483\pi\) |
−0.444118 | + | 0.895968i | \(0.646483\pi\) | |||||||
\(648\) | −0.937689 | − | 8.95102i | −0.0368359 | − | 0.351629i | ||||
\(649\) | − | 19.0576i | − | 0.748078i | ||||||
\(650\) | −4.55963 | + | 8.49608i | −0.178843 | + | 0.333244i | ||||
\(651\) | 22.5866 | + | 23.1898i | 0.885239 | + | 0.908879i | ||||
\(652\) | −3.70877 | − | 23.4163i | −0.145247 | − | 0.917052i | ||||
\(653\) | 10.9835 | − | 21.5563i | 0.429816 | − | 0.843562i | −0.569944 | − | 0.821683i | \(-0.693035\pi\) |
0.999761 | − | 0.0218786i | \(-0.00696474\pi\) | |||||||
\(654\) | 10.1035 | − | 19.1996i | 0.395078 | − | 0.750764i | ||||
\(655\) | 2.93635 | − | 4.67901i | 0.114733 | − | 0.182824i | ||||
\(656\) | −1.22477 | − | 0.397952i | −0.0478193 | − | 0.0155374i | ||||
\(657\) | −16.2594 | + | 15.4243i | −0.634341 | + | 0.601760i | ||||
\(658\) | −1.20561 | − | 2.36614i | −0.0469996 | − | 0.0922419i | ||||
\(659\) | −4.30697 | + | 3.12920i | −0.167776 | + | 0.121896i | −0.668505 | − | 0.743708i | \(-0.733065\pi\) |
0.500729 | + | 0.865604i | \(0.333065\pi\) | |||||||
\(660\) | −4.01087 | + | 15.1105i | −0.156123 | + | 0.588176i | ||||
\(661\) | −10.9702 | − | 7.97029i | −0.426690 | − | 0.310008i | 0.353634 | − | 0.935384i | \(-0.384946\pi\) |
−0.780324 | + | 0.625376i | \(0.784946\pi\) | |||||||
\(662\) | 2.89729 | − | 18.2928i | 0.112606 | − | 0.710969i | ||||
\(663\) | −7.57384 | − | 10.7187i | −0.294144 | − | 0.416279i | ||||
\(664\) | 1.98302 | − | 2.72939i | 0.0769561 | − | 0.105921i | ||||
\(665\) | 29.4994 | − | 6.75049i | 1.14394 | − | 0.261773i | ||||
\(666\) | 15.8208 | − | 10.8693i | 0.613043 | − | 0.421178i | ||||
\(667\) | 10.5149 | − | 5.35761i | 0.407138 | − | 0.207447i | ||||
\(668\) | −2.40724 | − | 2.40724i | −0.0931391 | − | 0.0931391i | ||||
\(669\) | 11.4807 | + | 23.2857i | 0.443871 | + | 0.900276i | ||||
\(670\) | −1.26399 | − | 3.14597i | −0.0488323 | − | 0.121540i | ||||
\(671\) | −2.05791 | + | 0.668657i | −0.0794449 | + | 0.0258132i | ||||
\(672\) | −1.02900 | − | 3.31494i | −0.0396947 | − | 0.127877i | ||||
\(673\) | 48.7489 | − | 7.72106i | 1.87913 | − | 0.297625i | 0.891331 | − | 0.453353i | \(-0.149772\pi\) |
0.987800 | + | 0.155727i | \(0.0497721\pi\) | |||||||
\(674\) | 11.8757 | 0.457435 | ||||||||
\(675\) | 10.3656 | + | 23.8234i | 0.398972 | + | 0.916963i | ||||
\(676\) | 9.28106 | 0.356964 | ||||||||
\(677\) | −3.02000 | + | 0.478321i | −0.116068 | + | 0.0183834i | −0.214198 | − | 0.976790i | \(-0.568714\pi\) |
0.0981301 | + | 0.995174i | \(0.468714\pi\) | |||||||
\(678\) | −7.47865 | − | 24.0925i | −0.287216 | − | 0.925266i | ||||
\(679\) | 20.2749 | − | 6.58771i | 0.778078 | − | 0.252813i | ||||
\(680\) | 6.74147 | − | 5.63461i | 0.258524 | − | 0.216078i | ||||
\(681\) | −2.92807 | − | 5.93883i | −0.112204 | − | 0.227576i | ||||
\(682\) | 26.6205 | + | 26.6205i | 1.01935 | + | 1.01935i | ||||
\(683\) | −31.2546 | + | 15.9250i | −1.19592 | + | 0.609353i | −0.934532 | − | 0.355880i | \(-0.884181\pi\) |
−0.261391 | + | 0.965233i | \(0.584181\pi\) | |||||||
\(684\) | −16.6989 | + | 11.4726i | −0.638497 | + | 0.438666i | ||||
\(685\) | 9.33000 | + | 3.98163i | 0.356481 | + | 0.152130i | ||||
\(686\) | −11.7603 | + | 16.1867i | −0.449011 | + | 0.618011i | ||||
\(687\) | −22.5086 | − | 31.8547i | −0.858757 | − | 1.21533i | ||||
\(688\) | −1.47993 | + | 9.34391i | −0.0564218 | + | 0.356233i | ||||
\(689\) | 17.0526 | + | 12.3894i | 0.649652 | + | 0.472000i | ||||
\(690\) | −2.83359 | − | 7.33030i | −0.107873 | − | 0.279060i | ||||
\(691\) | −2.34860 | + | 1.70636i | −0.0893451 | + | 0.0649130i | −0.631561 | − | 0.775326i | \(-0.717585\pi\) |
0.542216 | + | 0.840239i | \(0.317585\pi\) | |||||||
\(692\) | 0.590593 | + | 1.15910i | 0.0224510 | + | 0.0440625i | ||||
\(693\) | 17.6061 | − | 16.7018i | 0.668800 | − | 0.634450i | ||||
\(694\) | −7.45357 | − | 2.42181i | −0.282934 | − | 0.0919307i | ||||
\(695\) | 8.22893 | + | 9.84542i | 0.312141 | + | 0.373458i | ||||
\(696\) | 4.69100 | − | 8.91427i | 0.177812 | − | 0.337894i | ||||
\(697\) | −2.29725 | + | 4.50861i | −0.0870146 | + | 0.170776i | ||||
\(698\) | −1.46705 | − | 9.26258i | −0.0555286 | − | 0.350594i | ||||
\(699\) | 20.7773 | + | 21.3321i | 0.785868 | + | 0.806854i | ||||
\(700\) | 5.71540 | + | 8.22992i | 0.216022 | + | 0.311062i | ||||
\(701\) | 5.87338i | 0.221834i | 0.993830 | + | 0.110917i | \(0.0353788\pi\) | ||||
−0.993830 | + | 0.110917i | \(0.964621\pi\) | |||||||
\(702\) | −6.20568 | + | 7.86771i | −0.234218 | + | 0.296948i | ||||
\(703\) | −38.5003 | − | 19.6169i | −1.45206 | − | 0.739864i | ||||
\(704\) | −1.24738 | − | 3.83905i | −0.0470126 | − | 0.144690i | ||||
\(705\) | −4.69351 | − | 2.07650i | −0.176768 | − | 0.0782056i | ||||
\(706\) | −4.50172 | + | 13.8549i | −0.169424 | + | 0.521435i | ||||
\(707\) | 16.9480 | − | 16.9480i | 0.637396 | − | 0.637396i | ||||
\(708\) | 7.74314 | + | 2.62918i | 0.291005 | + | 0.0988107i | ||||
\(709\) | 10.1538 | + | 13.9755i | 0.381335 | + | 0.524862i | 0.955938 | − | 0.293570i | \(-0.0948434\pi\) |
−0.574603 | + | 0.818432i | \(0.694843\pi\) | |||||||
\(710\) | −0.272854 | − | 1.19236i | −0.0102400 | − | 0.0447486i | ||||
\(711\) | −19.6080 | + | 25.5446i | −0.735357 | + | 0.957996i | ||||
\(712\) | 14.0233 | + | 2.22107i | 0.525546 | + | 0.0832383i | ||||
\(713\) | −18.6917 | − | 2.96048i | −0.700011 | − | 0.110871i | ||||
\(714\) | −13.4975 | + | 1.95586i | −0.505130 | + | 0.0731962i | ||||
\(715\) | 14.9376 | − | 8.93620i | 0.558635 | − | 0.334195i | ||||
\(716\) | 13.5783 | + | 18.6889i | 0.507444 | + | 0.698437i | ||||
\(717\) | 1.91153 | − | 5.62960i | 0.0713874 | − | 0.210241i | ||||
\(718\) | 8.34797 | − | 8.34797i | 0.311544 | − | 0.311544i | ||||
\(719\) | −12.3239 | + | 37.9289i | −0.459602 | + | 1.41451i | 0.406044 | + | 0.913854i | \(0.366908\pi\) |
−0.865646 | + | 0.500656i | \(0.833092\pi\) | |||||||
\(720\) | −5.58608 | − | 3.71426i | −0.208181 | − | 0.138422i | ||||
\(721\) | −1.79640 | − | 5.52874i | −0.0669013 | − | 0.205901i | ||||
\(722\) | 23.7079 | + | 12.0798i | 0.882318 | + | 0.449563i | ||||
\(723\) | −11.8845 | − | 8.87617i | −0.441989 | − | 0.330108i | ||||
\(724\) | − | 16.2243i | − | 0.602972i | ||||||
\(725\) | −5.16007 | + | 28.6174i | −0.191640 | + | 1.06282i | ||||
\(726\) | 6.56905 | − | 6.39818i | 0.243800 | − | 0.237459i | ||||
\(727\) | 3.26644 | + | 20.6235i | 0.121146 | + | 0.764883i | 0.971214 | + | 0.238210i | \(0.0765608\pi\) |
−0.850068 | + | 0.526673i | \(0.823439\pi\) | |||||||
\(728\) | −1.75448 | + | 3.44335i | −0.0650252 | + | 0.127619i | ||||
\(729\) | 6.28953 | + | 26.2572i | 0.232945 | + | 0.972490i | ||||
\(730\) | 1.13307 | + | 16.6661i | 0.0419367 | + | 0.616841i | ||||
\(731\) | 35.3532 | + | 11.4869i | 1.30758 | + | 0.424860i | ||||
\(732\) | 0.0122327 | − | 0.928380i | 0.000452134 | − | 0.0343139i | ||||
\(733\) | 4.26895 | + | 8.37829i | 0.157677 | + | 0.309459i | 0.956307 | − | 0.292363i | \(-0.0944416\pi\) |
−0.798630 | + | 0.601822i | \(0.794442\pi\) | |||||||
\(734\) | −2.18467 | + | 1.58725i | −0.0806375 | + | 0.0585866i | ||||
\(735\) | 0.631945 | + | 11.5401i | 0.0233097 | + | 0.425663i | ||||
\(736\) | 1.64163 | + | 1.19271i | 0.0605112 | + | 0.0439639i | ||||
\(737\) | −0.957451 | + | 6.04511i | −0.0352682 | + | 0.222674i | ||||
\(738\) | 3.79859 | + | 0.704700i | 0.139828 | + | 0.0259404i | ||||
\(739\) | 0.0758416 | − | 0.104387i | 0.00278988 | − | 0.00383994i | −0.807620 | − | 0.589704i | \(-0.799245\pi\) |
0.810410 | + | 0.585864i | \(0.199245\pi\) | |||||||
\(740\) | 1.27446 | − | 14.2501i | 0.0468500 | − | 0.523843i | ||||
\(741\) | 22.2314 | + | 3.82201i | 0.816689 | + | 0.140405i | ||||
\(742\) | 19.5162 | − | 9.94400i | 0.716462 | − | 0.365056i | ||||
\(743\) | −7.88637 | − | 7.88637i | −0.289323 | − | 0.289323i | 0.547490 | − | 0.836812i | \(-0.315584\pi\) |
−0.836812 | + | 0.547490i | \(0.815584\pi\) | |||||||
\(744\) | −14.4885 | + | 7.14338i | −0.531173 | + | 0.261889i | ||||
\(745\) | 8.36741 | − | 33.2858i | 0.306558 | − | 1.21950i | ||||
\(746\) | −20.3996 | + | 6.62824i | −0.746883 | + | 0.242677i | ||||
\(747\) | −4.83092 | + | 8.89381i | −0.176754 | + | 0.325407i | ||||
\(748\) | −15.6658 | + | 2.48121i | −0.572797 | + | 0.0907221i | ||||
\(749\) | −29.4771 | −1.07707 | ||||||||
\(750\) | 18.6066 | + | 5.36592i | 0.679418 | + | 0.195936i | ||||
\(751\) | 24.5205 | 0.894768 | 0.447384 | − | 0.894342i | \(-0.352356\pi\) | ||||
0.447384 | + | 0.894342i | \(0.352356\pi\) | |||||||
\(752\) | 1.30885 | − | 0.207301i | 0.0477288 | − | 0.00755950i | ||||
\(753\) | −19.7547 | + | 6.13215i | −0.719902 | + | 0.223468i | ||||
\(754\) | −10.6665 | + | 3.46577i | −0.388452 | + | 0.126216i | ||||
\(755\) | 12.3723 | − | 49.2175i | 0.450275 | − | 1.79121i | ||||
\(756\) | 4.35704 | + | 9.45755i | 0.158464 | + | 0.343968i | ||||
\(757\) | 13.4521 | + | 13.4521i | 0.488924 | + | 0.488924i | 0.907967 | − | 0.419042i | \(-0.137634\pi\) |
−0.419042 | + | 0.907967i | \(0.637634\pi\) | |||||||
\(758\) | −9.42760 | + | 4.80360i | −0.342426 | + | 0.174475i | ||||
\(759\) | −2.40379 | + | 13.9820i | −0.0872519 | + | 0.507516i | ||||
\(760\) | −1.34519 | + | 15.0410i | −0.0487952 | + | 0.545593i | ||||
\(761\) | 9.74504 | − | 13.4129i | 0.353258 | − | 0.486217i | −0.594997 | − | 0.803728i | \(-0.702847\pi\) |
0.948255 | + | 0.317510i | \(0.102847\pi\) | |||||||
\(762\) | −5.18014 | + | 3.66030i | −0.187657 | + | 0.132599i | ||||
\(763\) | −3.92679 | + | 24.7928i | −0.142159 | + | 0.897559i | ||||
\(764\) | 4.50844 | + | 3.27557i | 0.163109 | + | 0.118506i | ||||
\(765\) | −17.8483 | + | 19.3960i | −0.645307 | + | 0.701263i | ||||
\(766\) | −0.112738 | + | 0.0819087i | −0.00407338 | + | 0.00295948i | ||||
\(767\) | −4.13340 | − | 8.11226i | −0.149249 | − | 0.292917i | ||||
\(768\) | 1.73190 | + | 0.0228202i | 0.0624946 | + | 0.000823454i | ||||
\(769\) | −24.2927 | − | 7.89319i | −0.876018 | − | 0.284636i | −0.163715 | − | 0.986508i | \(-0.552348\pi\) |
−0.712303 | + | 0.701872i | \(0.752348\pi\) | |||||||
\(770\) | −1.22691 | − | 18.0465i | −0.0442149 | − | 0.650350i | ||||
\(771\) | 4.53819 | + | 2.38815i | 0.163439 | + | 0.0860072i | ||||
\(772\) | −3.93016 | + | 7.71338i | −0.141450 | + | 0.277611i | ||||
\(773\) | −1.33889 | − | 8.45340i | −0.0481564 | − | 0.304048i | 0.951840 | − | 0.306594i | \(-0.0991894\pi\) |
−0.999997 | + | 0.00254649i | \(0.999189\pi\) | |||||||
\(774\) | 0.747794 | − | 28.3713i | 0.0268789 | − | 1.01979i | ||||
\(775\) | 33.6690 | − | 32.2634i | 1.20943 | − | 1.15894i | ||||
\(776\) | 10.6380i | 0.381883i | ||||||||
\(777\) | −13.2892 | + | 17.7933i | −0.476749 | + | 0.638330i | ||||
\(778\) | −30.8379 | − | 15.7127i | −1.10559 | − | 0.563327i | ||||
\(779\) | −2.68752 | − | 8.27133i | −0.0962904 | − | 0.296351i | ||||
\(780\) | 1.57000 | + | 7.30200i | 0.0562151 | + | 0.261454i | ||||
\(781\) | −0.682349 | + | 2.10006i | −0.0244164 | + | 0.0751459i | ||||
\(782\) | 5.63787 | − | 5.63787i | 0.201610 | − | 0.201610i | ||||
\(783\) | −10.4668 | + | 28.3491i | −0.374054 | + | 1.01311i | ||||
\(784\) | −1.75401 | − | 2.41419i | −0.0626434 | − | 0.0862212i | ||||
\(785\) | −1.17017 | + | 0.700035i | −0.0417650 | + | 0.0249853i | ||||
\(786\) | −0.613631 | − | 4.23469i | −0.0218875 | − | 0.151047i | ||||
\(787\) | 22.6192 | + | 3.58252i | 0.806286 | + | 0.127703i | 0.545953 | − | 0.837816i | \(-0.316168\pi\) |
0.260333 | + | 0.965519i | \(0.416168\pi\) | |||||||
\(788\) | 17.5127 | + | 2.77374i | 0.623864 | + | 0.0988103i | ||||
\(789\) | 5.64382 | + | 38.9482i | 0.200925 | + | 1.38659i | ||||
\(790\) | 5.35416 | + | 23.3975i | 0.190493 | + | 0.832446i | ||||
\(791\) | 17.1556 | + | 23.6127i | 0.609984 | + | 0.839571i | ||||
\(792\) | 5.21156 | + | 10.9311i | 0.185185 | + | 0.388419i | ||||
\(793\) | −0.730967 | + | 0.730967i | −0.0259574 | + | 0.0259574i | ||||
\(794\) | 9.41645 | − | 28.9808i | 0.334177 | − | 1.02849i | ||||
\(795\) | 17.1272 | − | 38.7125i | 0.607439 | − | 1.37299i | ||||
\(796\) | 3.20123 | + | 9.85239i | 0.113465 | + | 0.349209i | ||||
\(797\) | 38.3454 | + | 19.5380i | 1.35826 | + | 0.692070i | 0.973015 | − | 0.230742i | \(-0.0741153\pi\) |
0.385250 | + | 0.922812i | \(0.374115\pi\) | |||||||
\(798\) | 14.0268 | − | 18.7808i | 0.496544 | − | 0.664834i | ||||
\(799\) | − | 5.20694i | − | 0.184208i | ||||||
\(800\) | −4.78713 | + | 1.44338i | −0.169251 | + | 0.0510311i | ||||
\(801\) | −42.5795 | − | 1.12229i | −1.50447 | − | 0.0396540i | ||||
\(802\) | −0.112399 | − | 0.709657i | −0.00396893 | − | 0.0250589i | ||||
\(803\) | 13.6904 | − | 26.8689i | 0.483123 | − | 0.948183i | ||||
\(804\) | −2.32404 | − | 1.22299i | −0.0819627 | − | 0.0431316i | ||||
\(805\) | 5.83121 | + | 6.97669i | 0.205523 | + | 0.245896i | ||||
\(806\) | 17.1052 | + | 5.55782i | 0.602506 | + | 0.195766i | ||||
\(807\) | 20.8925 | + | 0.275288i | 0.735450 | + | 0.00969059i | ||||
\(808\) | 5.42987 | + | 10.6567i | 0.191022 | + | 0.374902i | ||||
\(809\) | −36.2976 | + | 26.3717i | −1.27616 | + | 0.927181i | −0.999430 | − | 0.0337679i | \(-0.989249\pi\) |
−0.276726 | + | 0.960949i | \(0.589249\pi\) | |||||||
\(810\) | 18.0678 | + | 8.86316i | 0.634837 | + | 0.311420i | ||||
\(811\) | −6.93867 | − | 5.04124i | −0.243650 | − | 0.177022i | 0.459258 | − | 0.888303i | \(-0.348115\pi\) |
−0.702908 | + | 0.711281i | \(0.748115\pi\) | |||||||
\(812\) | −1.82319 | + | 11.5111i | −0.0639813 | + | 0.403962i | ||||
\(813\) | −11.6630 | + | 8.24112i | −0.409041 | + | 0.289029i | ||||
\(814\) | −15.1809 | + | 20.8948i | −0.532092 | + | 0.732361i | ||||
\(815\) | 48.7587 | + | 20.8081i | 1.70794 | + | 0.728874i | ||||
\(816\) | 1.15312 | − | 6.70732i | 0.0403673 | − | 0.234803i | ||||
\(817\) | −56.9260 | + | 29.0052i | −1.99159 | + | 1.01476i | ||||
\(818\) | 2.09039 | + | 2.09039i | 0.0730889 | + | 0.0730889i | ||||
\(819\) | 3.87193 | − | 10.9280i | 0.135296 | − | 0.381856i | ||||
\(820\) | 2.20948 | − | 1.84671i | 0.0771584 | − | 0.0644900i | ||||
\(821\) | −21.1200 | + | 6.86230i | −0.737093 | + | 0.239496i | −0.653418 | − | 0.756997i | \(-0.726666\pi\) |
−0.0836747 | + | 0.996493i | \(0.526666\pi\) | |||||||
\(822\) | 7.50434 | − | 2.32945i | 0.261744 | − | 0.0812490i | ||||
\(823\) | −0.969602 | + | 0.153570i | −0.0337982 | + | 0.00535311i | −0.173311 | − | 0.984867i | \(-0.555446\pi\) |
0.139512 | + | 0.990220i | \(0.455446\pi\) | |||||||
\(824\) | 2.90088 | 0.101057 | ||||||||
\(825\) | −23.8520 | − | 25.5569i | −0.830421 | − | 0.889777i | ||||
\(826\) | −9.46111 | −0.329194 | ||||||||
\(827\) | −56.0204 | + | 8.87275i | −1.94802 | + | 0.308536i | −0.999954 | − | 0.00954211i | \(-0.996963\pi\) |
−0.948065 | + | 0.318078i | \(0.896963\pi\) | |||||||
\(828\) | −5.34929 | − | 2.90561i | −0.185901 | − | 0.100977i | ||||
\(829\) | 8.48021 | − | 2.75539i | 0.294530 | − | 0.0956986i | −0.158025 | − | 0.987435i | \(-0.550513\pi\) |
0.452555 | + | 0.891737i | \(0.350513\pi\) | |||||||
\(830\) | 2.81246 | + | 6.99998i | 0.0976220 | + | 0.242973i | ||||
\(831\) | −13.0578 | + | 6.43799i | −0.452969 | + | 0.223331i | ||||
\(832\) | −1.36362 | − | 1.36362i | −0.0472752 | − | 0.0472752i | ||||
\(833\) | −10.4474 | + | 5.32322i | −0.361981 | + | 0.184439i | ||||
\(834\) | 9.79554 | + | 1.68405i | 0.339192 | + | 0.0583137i | ||||
\(835\) | 7.42056 | − | 1.69808i | 0.256799 | − | 0.0587646i | ||||
\(836\) | 16.0235 | − | 22.0545i | 0.554184 | − | 0.762769i | ||||
\(837\) | 40.3010 | − | 26.9133i | 1.39301 | − | 0.930259i | ||||
\(838\) | 0.494441 | − | 3.12177i | 0.0170802 | − | 0.107840i | ||||
\(839\) | −24.2019 | − | 17.5837i | −0.835542 | − | 0.607057i | 0.0855799 | − | 0.996331i | \(-0.472726\pi\) |
−0.921122 | + | 0.389275i | \(0.872726\pi\) | |||||||
\(840\) | 7.50157 | + | 1.99119i | 0.258829 | + | 0.0687025i | ||||
\(841\) | −3.90206 | + | 2.83501i | −0.134554 | + | 0.0977590i | ||||
\(842\) | −5.25316 | − | 10.3099i | −0.181036 | − | 0.355303i | ||||
\(843\) | −0.00515315 | + | 0.391089i | −0.000177484 | + | 0.0134698i | ||||
\(844\) | 20.9950 | + | 6.82168i | 0.722677 | + | 0.234812i | ||||
\(845\) | −11.0314 | + | 17.5783i | −0.379493 | + | 0.604713i | ||||
\(846\) | −3.81197 | + | 1.12845i | −0.131058 | + | 0.0387968i | ||||
\(847\) | −4.81667 | + | 9.45325i | −0.165503 | + | 0.324818i | ||||
\(848\) | 1.70984 | + | 10.7955i | 0.0587162 | + | 0.370720i | ||||
\(849\) | 27.9334 | − | 27.2069i | 0.958673 | − | 0.933738i | ||||
\(850\) | 2.65908 | + | 19.4656i | 0.0912057 | + | 0.667666i | ||||
\(851\) | − | 12.9831i | − | 0.445055i | ||||||
\(852\) | −0.759118 | − | 0.566962i | −0.0260070 | − | 0.0194238i | ||||
\(853\) | 13.8564 | + | 7.06020i | 0.474435 | + | 0.241737i | 0.674823 | − | 0.737980i | \(-0.264220\pi\) |
−0.200388 | + | 0.979717i | \(0.564220\pi\) | |||||||
\(854\) | 0.331953 | + | 1.02165i | 0.0113592 | + | 0.0349600i | ||||
\(855\) | −1.88092 | − | 45.2639i | −0.0643259 | − | 1.54799i | ||||
\(856\) | 4.54544 | − | 13.9894i | 0.155360 | − | 0.478149i | ||||
\(857\) | 14.2259 | − | 14.2259i | 0.485948 | − | 0.485948i | −0.421077 | − | 0.907025i | \(-0.638348\pi\) |
0.907025 | + | 0.421077i | \(0.138348\pi\) | |||||||
\(858\) | 4.33508 | − | 12.7671i | 0.147997 | − | 0.435863i | ||||
\(859\) | −0.328571 | − | 0.452239i | −0.0112107 | − | 0.0154302i | 0.803375 | − | 0.595474i | \(-0.203036\pi\) |
−0.814586 | + | 0.580043i | \(0.803036\pi\) | |||||||
\(860\) | −15.9383 | − | 13.9091i | −0.543493 | − | 0.474297i | ||||
\(861\) | −4.42372 | + | 0.641022i | −0.150760 | + | 0.0218460i | ||||
\(862\) | −25.7559 | − | 4.07933i | −0.877248 | − | 0.138942i | ||||
\(863\) | −8.78203 | − | 1.39094i | −0.298944 | − | 0.0473480i | 0.00516090 | − | 0.999987i | \(-0.498357\pi\) |
−0.304105 | + | 0.952639i | \(0.598357\pi\) | |||||||
\(864\) | −5.16029 | + | 0.609416i | −0.175557 | + | 0.0207328i | ||||
\(865\) | −2.89732 | − | 0.259122i | −0.0985119 | − | 0.00881042i | ||||
\(866\) | 8.44770 | + | 11.6273i | 0.287064 | + | 0.395110i | ||||
\(867\) | 2.55973 | + | 0.869157i | 0.0869331 | + | 0.0295181i | ||||
\(868\) | 13.2157 | − | 13.2157i | 0.448569 | − | 0.448569i | ||||
\(869\) | 13.3896 | − | 41.2090i | 0.454212 | − | 1.39792i | ||||
\(870\) | 11.3079 | + | 19.4802i | 0.383375 | + | 0.660441i | ||||
\(871\) | 0.903562 | + | 2.78088i | 0.0306160 | + | 0.0942265i | ||||
\(872\) | −11.1608 | − | 5.68671i | −0.377952 | − | 0.192576i | ||||
\(873\) | −4.16020 | − | 31.6417i | −0.140801 | − | 1.07091i | ||||
\(874\) | 13.7037i | 0.463534i | ||||||||
\(875\) | −22.3808 | + | 1.04293i | −0.756608 | + | 0.0352575i | ||||
\(876\) | 9.02815 | + | 9.26924i | 0.305033 | + | 0.313179i | ||||
\(877\) | −5.62983 | − | 35.5453i | −0.190106 | − | 1.20028i | −0.879502 | − | 0.475896i | \(-0.842124\pi\) |
0.689396 | − | 0.724385i | \(-0.257876\pi\) | |||||||
\(878\) | 1.92360 | − | 3.77527i | 0.0649182 | − | 0.127409i | ||||
\(879\) | 9.02724 | − | 17.1544i | 0.304481 | − | 0.578604i | ||||
\(880\) | 8.75381 | + | 2.20054i | 0.295091 | + | 0.0741801i | ||||
\(881\) | −44.3078 | − | 14.3965i | −1.49277 | − | 0.485029i | −0.554868 | − | 0.831938i | \(-0.687231\pi\) |
−0.937899 | + | 0.346909i | \(0.887231\pi\) | |||||||
\(882\) | 6.16126 | + | 6.49484i | 0.207460 | + | 0.218693i | ||||
\(883\) | −18.6174 | − | 36.5387i | −0.626525 | − | 1.22962i | −0.958164 | − | 0.286218i | \(-0.907602\pi\) |
0.331640 | − | 0.943406i | \(-0.392398\pi\) | |||||||
\(884\) | −6.13028 | + | 4.45391i | −0.206184 | + | 0.149801i | ||||
\(885\) | −14.1831 | + | 11.5405i | −0.476761 | + | 0.387929i | ||||
\(886\) | 21.1798 | + | 15.3880i | 0.711549 | + | 0.516971i | ||||
\(887\) | −6.17999 | + | 39.0189i | −0.207504 | + | 1.31013i | 0.635451 | + | 0.772141i | \(0.280814\pi\) |
−0.842954 | + | 0.537985i | \(0.819186\pi\) | |||||||
\(888\) | −6.39521 | − | 9.05066i | −0.214609 | − | 0.303720i | ||||
\(889\) | 4.31353 | − | 5.93707i | 0.144671 | − | 0.199123i | ||||
\(890\) | −20.8748 | + | 23.9202i | −0.699724 | + | 0.801807i | ||||
\(891\) | −19.7761 | − | 30.4753i | −0.662523 | − | 1.02096i | ||||
\(892\) | 13.3555 | − | 6.80497i | 0.447175 | − | 0.227847i | ||||
\(893\) | 6.32813 | + | 6.32813i | 0.211763 | + | 0.211763i | ||||
\(894\) | −11.7563 | − | 23.8446i | −0.393190 | − | 0.797483i | ||||
\(895\) | −51.5359 | + | 3.50373i | −1.72265 | + | 0.117117i | ||||
\(896\) | −1.90589 | + | 0.619261i | −0.0636712 | + | 0.0206880i | ||||
\(897\) | 2.00934 | + | 6.47308i | 0.0670898 | + | 0.216130i | ||||
\(898\) | −35.6337 | + | 5.64383i | −1.18911 | + | 0.188337i | ||||
\(899\) | 54.2401 | 1.80901 | ||||||||
\(900\) | 13.6744 | − | 6.16528i | 0.455813 | − | 0.205509i | ||||
\(901\) | 42.9474 | 1.43079 | ||||||||
\(902\) | −5.13436 | + | 0.813203i | −0.170956 | + | 0.0270767i | ||||
\(903\) | 9.73478 | + | 31.3606i | 0.323953 | + | 1.04362i | ||||
\(904\) | −13.8517 | + | 4.50069i | −0.460701 | + | 0.149691i | ||||
\(905\) | 30.7289 | + | 19.2842i | 1.02146 | + | 0.641027i | ||||
\(906\) | −17.3833 | − | 35.2574i | −0.577520 | − | 1.17135i | ||||
\(907\) | −25.5617 | − | 25.5617i | −0.848763 | − | 0.848763i | 0.141216 | − | 0.989979i | \(-0.454899\pi\) |
−0.989979 | + | 0.141216i | \(0.954899\pi\) | |||||||
\(908\) | −3.40621 | + | 1.73555i | −0.113039 | + | 0.0575963i | ||||
\(909\) | −20.3181 | − | 29.5739i | −0.673910 | − | 0.980905i | ||||
\(910\) | −4.43635 | − | 7.41573i | −0.147064 | − | 0.245829i | ||||
\(911\) | −1.31952 | + | 1.81616i | −0.0437177 | + | 0.0601722i | −0.830316 | − | 0.557293i | \(-0.811840\pi\) |
0.786599 | + | 0.617465i | \(0.211840\pi\) | |||||||
\(912\) | 6.75015 | + | 9.55298i | 0.223520 | + | 0.316331i | ||||
\(913\) | 2.13039 | − | 13.4507i | 0.0705056 | − | 0.445155i | ||||
\(914\) | 14.6321 | + | 10.6308i | 0.483987 | + | 0.351637i | ||||
\(915\) | 1.74381 | + | 1.12664i | 0.0576487 | + | 0.0372455i | ||||
\(916\) | −18.2185 | + | 13.2365i | −0.601957 | + | 0.437347i | ||||
\(917\) | 2.24756 | + | 4.41109i | 0.0742210 | + | 0.145667i | ||||
\(918\) | −0.806817 | + | 20.4012i | −0.0266289 | + | 0.673340i | ||||
\(919\) | −17.3500 | − | 5.63735i | −0.572323 | − | 0.185959i | 0.00853567 | − | 0.999964i | \(-0.497283\pi\) |
−0.580858 | + | 0.814005i | \(0.697283\pi\) | |||||||
\(920\) | −4.21023 | + | 1.69159i | −0.138807 | + | 0.0557701i | ||||
\(921\) | 7.99093 | − | 15.1851i | 0.263310 | − | 0.500366i | ||||
\(922\) | −7.82899 | + | 15.3653i | −0.257834 | + | 0.506028i | ||||
\(923\) | 0.165025 | + | 1.04192i | 0.00543185 | + | 0.0342953i | ||||
\(924\) | −9.77589 | − | 10.0370i | −0.321603 | − | 0.330192i | ||||
\(925\) | 25.4748 | + | 19.3514i | 0.837607 | + | 0.636270i | ||||
\(926\) | 6.05297i | 0.198913i | ||||||||
\(927\) | −8.62837 | + | 1.13444i | −0.283393 | + | 0.0372600i | ||||
\(928\) | −5.18189 | − | 2.64031i | −0.170104 | − | 0.0866723i | ||||
\(929\) | 14.4639 | + | 44.5152i | 0.474544 | + | 1.46050i | 0.846572 | + | 0.532274i | \(0.178662\pi\) |
−0.372028 | + | 0.928221i | \(0.621338\pi\) | |||||||
\(930\) | 3.69137 | − | 35.9318i | 0.121045 | − | 1.17825i | ||||
\(931\) | 6.22755 | − | 19.1664i | 0.204100 | − | 0.628155i | ||||
\(932\) | 12.1570 | − | 12.1570i | 0.398215 | − | 0.398215i | ||||
\(933\) | 19.9411 | + | 6.77101i | 0.652843 | + | 0.221673i | ||||
\(934\) | 1.16658 | + | 1.60566i | 0.0381717 | + | 0.0525388i | ||||
\(935\) | 13.9208 | − | 32.6201i | 0.455260 | − | 1.06679i | ||||
\(936\) | 4.58924 | + | 3.52269i | 0.150004 | + | 0.115143i | ||||
\(937\) | −42.6595 | − | 6.75660i | −1.39362 | − | 0.220728i | −0.585945 | − | 0.810351i | \(-0.699277\pi\) |
−0.807679 | + | 0.589622i | \(0.799277\pi\) | |||||||
\(938\) | 3.00108 | + | 0.475324i | 0.0979886 | + | 0.0155199i | ||||
\(939\) | −42.1477 | + | 6.10743i | −1.37544 | + | 0.199309i | ||||
\(940\) | −1.16306 | + | 2.72536i | −0.0379349 | + | 0.0888914i | ||||
\(941\) | −15.3900 | − | 21.1825i | −0.501699 | − | 0.690529i | 0.480793 | − | 0.876834i | \(-0.340349\pi\) |
−0.982492 | + | 0.186305i | \(0.940349\pi\) | |||||||
\(942\) | −0.339597 | + | 1.00014i | −0.0110647 | + | 0.0325863i | ||||
\(943\) | 1.84778 | − | 1.84778i | 0.0601720 | − | 0.0601720i | ||||
\(944\) | 1.45893 | − | 4.49012i | 0.0474840 | − | 0.146141i | ||||
\(945\) | −23.0914 | − | 2.98896i | −0.751162 | − | 0.0972309i | ||||
\(946\) | 11.8007 | + | 36.3189i | 0.383675 | + | 1.18083i | ||||
\(947\) | −38.1664 | − | 19.4468i | −1.24024 | − | 0.631935i | −0.294127 | − | 0.955766i | \(-0.595029\pi\) |
−0.946115 | + | 0.323831i | \(0.895029\pi\) | |||||||
\(948\) | 14.8960 | + | 11.1254i | 0.483801 | + | 0.361336i | ||||
\(949\) | − | 14.4066i | − | 0.467657i | ||||||
\(950\) | −26.8887 | − | 20.4254i | −0.872385 | − | 0.662688i | ||||
\(951\) | 12.9443 | − | 12.6076i | 0.419748 | − | 0.408830i | ||||
\(952\) | 1.23179 | + | 7.77722i | 0.0399226 | + | 0.252061i | ||||
\(953\) | 0.380531 | − | 0.746833i | 0.0123266 | − | 0.0241923i | −0.884761 | − | 0.466045i | \(-0.845679\pi\) |
0.897088 | + | 0.441853i | \(0.145679\pi\) | |||||||
\(954\) | −9.30755 | − | 31.4415i | −0.301343 | − | 1.01796i | ||||
\(955\) | −11.5626 | + | 4.64565i | −0.374158 | + | 0.150330i | ||||
\(956\) | −3.26451 | − | 1.06070i | −0.105582 | − | 0.0343056i | ||||
\(957\) | 0.535729 | − | 40.6582i | 0.0173177 | − | 1.31429i | ||||
\(958\) | 16.0519 | + | 31.5036i | 0.518612 | + | 1.01783i | ||||
\(959\) | −7.35489 | + | 5.34364i | −0.237502 | + | 0.172555i | ||||
\(960\) | −2.10175 | + | 3.25310i | −0.0678337 | + | 0.104993i | ||||
\(961\) | −45.2897 | − | 32.9049i | −1.46096 | − | 1.06145i | ||||
\(962\) | −1.93021 | + | 12.1869i | −0.0622324 | + | 0.392920i | ||||
\(963\) | −8.04913 | + | 43.3877i | −0.259380 | + | 1.39815i | ||||
\(964\) | −5.03381 | + | 6.92845i | −0.162128 | + | 0.223150i | ||||
\(965\) | −9.93778 | − | 16.6118i | −0.319908 | − | 0.534754i | ||||
\(966\) | 6.94134 | + | 1.19335i | 0.223334 | + | 0.0383955i | ||||
\(967\) | 23.5300 | − | 11.9891i | 0.756674 | − | 0.385545i | −0.0326938 | − | 0.999465i | \(-0.510409\pi\) |
0.789368 | + | 0.613921i | \(0.210409\pi\) | |||||||
\(968\) | −3.74364 | − | 3.74364i | −0.120325 | − | 0.120325i | ||||
\(969\) | 41.2234 | − | 20.3247i | 1.32429 | − | 0.652925i | ||||
\(970\) | −20.1484 | − | 12.6443i | −0.646927 | − | 0.405984i | ||||
\(971\) | 17.8859 | − | 5.81148i | 0.573985 | − | 0.186499i | −0.00761891 | − | 0.999971i | \(-0.502425\pi\) |
0.581604 | + | 0.813472i | \(0.302425\pi\) | |||||||
\(972\) | 15.1105 | − | 3.83068i | 0.484668 | − | 0.122869i | ||||
\(973\) | −11.3580 | + | 1.79894i | −0.364122 | + | 0.0576713i | ||||
\(974\) | 24.9322 | 0.798881 | ||||||||
\(975\) | −15.6961 | − | 5.70554i | −0.502677 | − | 0.182723i | ||||
\(976\) | −0.536047 | −0.0171585 | ||||||||
\(977\) | −30.0169 | + | 4.75421i | −0.960326 | + | 0.152101i | −0.616867 | − | 0.787067i | \(-0.711599\pi\) |
−0.343459 | + | 0.939168i | \(0.611599\pi\) | |||||||
\(978\) | 39.2177 | − | 12.1737i | 1.25404 | − | 0.389273i | ||||
\(979\) | 54.5073 | − | 17.7105i | 1.74206 | − | 0.566030i | ||||
\(980\) | 6.65730 | − | 0.452605i | 0.212660 | − | 0.0144579i | ||||
\(981\) | 35.4206 | + | 12.5499i | 1.13089 | + | 0.400688i | ||||
\(982\) | −3.88187 | − | 3.88187i | −0.123875 | − | 0.123875i | ||||
\(983\) | 2.70453 | − | 1.37803i | 0.0862611 | − | 0.0439522i | −0.410328 | − | 0.911938i | \(-0.634586\pi\) |
0.496589 | + | 0.867986i | \(0.334586\pi\) | |||||||
\(984\) | 0.377928 | − | 2.19829i | 0.0120479 | − | 0.0700788i | ||||
\(985\) | −26.0690 | + | 29.8722i | −0.830627 | + | 0.951808i | ||||
\(986\) | −13.4320 | + | 18.4875i | −0.427761 | + | 0.588762i | ||||
\(987\) | 3.75646 | − | 2.65432i | 0.119569 | − | 0.0844880i | ||||
\(988\) | 2.03734 | − | 12.8632i | 0.0648163 | − | 0.409234i | ||||
\(989\) | −15.5304 | − | 11.2835i | −0.493839 | − | 0.358795i | ||||
\(990\) | −26.8979 | − | 3.12194i | −0.854872 | − | 0.0992217i | ||||
\(991\) | −13.3909 | + | 9.72904i | −0.425375 | + | 0.309053i | −0.779797 | − | 0.626032i | \(-0.784678\pi\) |
0.354422 | + | 0.935086i | \(0.384678\pi\) | |||||||
\(992\) | 4.23408 | + | 8.30986i | 0.134432 | + | 0.263838i | ||||
\(993\) | 32.0762 | + | 0.422649i | 1.01791 | + | 0.0134123i | ||||
\(994\) | 1.04257 | + | 0.338750i | 0.0330682 | + | 0.0107445i | ||||
\(995\) | −22.4654 | − | 5.64736i | −0.712201 | − | 0.179033i | ||||
\(996\) | 5.17114 | + | 2.72124i | 0.163854 | + | 0.0862257i | ||||
\(997\) | −10.0986 | + | 19.8197i | −0.319827 | + | 0.627697i | −0.993815 | − | 0.111046i | \(-0.964580\pi\) |
0.673988 | + | 0.738742i | \(0.264580\pi\) | |||||||
\(998\) | 0.0600012 | + | 0.378833i | 0.00189931 | + | 0.0119917i | ||||
\(999\) | 22.5614 | + | 24.4193i | 0.713810 | + | 0.772594i |
(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 | 150.2.l.a.137.9 | yes | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.137.5 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.a.293.9 | 80 | |||
5.3 | odd | 4 | 750.2.l.c.293.2 | 80 | |||
5.4 | even | 2 | 750.2.l.b.707.2 | 80 | |||
15.2 | even | 4 | 750.2.l.a.293.3 | 80 | |||
15.8 | even | 4 | 750.2.l.c.293.8 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.707.6 | 80 | |||
25.2 | odd | 20 | 750.2.l.b.593.6 | 80 | |||
25.11 | even | 5 | 750.2.l.c.407.8 | 80 | |||
25.14 | even | 10 | 750.2.l.a.407.3 | 80 | |||
25.23 | odd | 20 | inner | 150.2.l.a.23.5 | ✓ | 80 | |
75.2 | even | 20 | 750.2.l.b.593.2 | 80 | |||
75.11 | odd | 10 | 750.2.l.c.407.2 | 80 | |||
75.14 | odd | 10 | 750.2.l.a.407.9 | 80 | |||
75.23 | even | 20 | inner | 150.2.l.a.23.9 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.23.5 | ✓ | 80 | 25.23 | odd | 20 | inner | |
150.2.l.a.23.9 | yes | 80 | 75.23 | even | 20 | inner | |
150.2.l.a.137.5 | yes | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.137.9 | yes | 80 | 1.1 | even | 1 | trivial | |
750.2.l.a.293.3 | 80 | 15.2 | even | 4 | |||
750.2.l.a.293.9 | 80 | 5.2 | odd | 4 | |||
750.2.l.a.407.3 | 80 | 25.14 | even | 10 | |||
750.2.l.a.407.9 | 80 | 75.14 | odd | 10 | |||
750.2.l.b.593.2 | 80 | 75.2 | even | 20 | |||
750.2.l.b.593.6 | 80 | 25.2 | odd | 20 | |||
750.2.l.b.707.2 | 80 | 5.4 | even | 2 | |||
750.2.l.b.707.6 | 80 | 15.14 | odd | 2 | |||
750.2.l.c.293.2 | 80 | 5.3 | odd | 4 | |||
750.2.l.c.293.8 | 80 | 15.8 | even | 4 | |||
750.2.l.c.407.2 | 80 | 75.11 | odd | 10 | |||
750.2.l.c.407.8 | 80 | 25.11 | even | 5 |