Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), 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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 15.1 | ||
Character | \(\chi\) | \(=\) | 76.15 |
Dual form | 76.2.k.a.71.1 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37896 | + | 0.313814i | −0.975069 | + | 0.221900i | ||||
\(3\) | −0.00846870 | − | 0.0480284i | −0.00488941 | − | 0.0277292i | 0.982265 | − | 0.187496i | \(-0.0600370\pi\) |
−0.987155 | + | 0.159766i | \(0.948926\pi\) | |||||||
\(4\) | 1.80304 | − | 0.865472i | 0.901521 | − | 0.432736i | ||||
\(5\) | 0.579816 | − | 0.486524i | 0.259302 | − | 0.217580i | −0.503864 | − | 0.863783i | \(-0.668089\pi\) |
0.763165 | + | 0.646203i | \(0.223644\pi\) | |||||||
\(6\) | 0.0267499 | + | 0.0635714i | 0.0109206 | + | 0.0259529i | ||||
\(7\) | 2.62687 | + | 1.51662i | 0.992862 | + | 0.573229i | 0.906129 | − | 0.423002i | \(-0.139024\pi\) |
0.0867337 | + | 0.996232i | \(0.472357\pi\) | |||||||
\(8\) | −2.21472 | + | 1.75927i | −0.783021 | + | 0.621995i | ||||
\(9\) | 2.81684 | − | 1.02525i | 0.938948 | − | 0.341749i | ||||
\(10\) | −0.646863 | + | 0.852849i | −0.204556 | + | 0.269695i | ||||
\(11\) | −0.655865 | + | 0.378664i | −0.197751 | + | 0.114171i | −0.595606 | − | 0.803277i | \(-0.703088\pi\) |
0.397855 | + | 0.917448i | \(0.369755\pi\) | |||||||
\(12\) | −0.0568366 | − | 0.0792677i | −0.0164073 | − | 0.0228826i | ||||
\(13\) | −1.53562 | − | 0.270771i | −0.425904 | − | 0.0750984i | −0.0434122 | − | 0.999057i | \(-0.513823\pi\) |
−0.382492 | + | 0.923959i | \(0.624934\pi\) | |||||||
\(14\) | −4.09827 | − | 1.26701i | −1.09531 | − | 0.338622i | ||||
\(15\) | −0.0282772 | − | 0.0237274i | −0.00730115 | − | 0.00612639i | ||||
\(16\) | 2.50192 | − | 3.12096i | 0.625479 | − | 0.780241i | ||||
\(17\) | −4.84662 | − | 1.76403i | −1.17548 | − | 0.427839i | −0.320875 | − | 0.947121i | \(-0.603977\pi\) |
−0.854603 | + | 0.519282i | \(0.826199\pi\) | |||||||
\(18\) | −3.56257 | + | 2.29774i | −0.839705 | + | 0.541582i | ||||
\(19\) | −4.29322 | − | 0.753853i | −0.984931 | − | 0.172946i | ||||
\(20\) | 0.624360 | − | 1.37904i | 0.139611 | − | 0.308362i | ||||
\(21\) | 0.0505948 | − | 0.139008i | 0.0110407 | − | 0.0303340i | ||||
\(22\) | 0.785579 | − | 0.727981i | 0.167486 | − | 0.155206i | ||||
\(23\) | −1.13123 | + | 1.34815i | −0.235879 | + | 0.281109i | −0.870979 | − | 0.491321i | \(-0.836514\pi\) |
0.635100 | + | 0.772430i | \(0.280959\pi\) | |||||||
\(24\) | 0.103251 | + | 0.0914706i | 0.0210759 | + | 0.0186714i | ||||
\(25\) | −0.768759 | + | 4.35985i | −0.153752 | + | 0.871970i | ||||
\(26\) | 2.20252 | − | 0.108518i | 0.431950 | − | 0.0212820i | ||||
\(27\) | −0.146250 | − | 0.253312i | −0.0281458 | − | 0.0487500i | ||||
\(28\) | 6.04894 | + | 0.461053i | 1.14314 | + | 0.0871308i | ||||
\(29\) | −0.178978 | − | 0.491737i | −0.0332353 | − | 0.0913133i | 0.921965 | − | 0.387273i | \(-0.126583\pi\) |
−0.955200 | + | 0.295960i | \(0.904361\pi\) | |||||||
\(30\) | 0.0464391 | + | 0.0238453i | 0.00847857 | + | 0.00435353i | ||||
\(31\) | 3.59957 | − | 6.23464i | 0.646502 | − | 1.11978i | −0.337450 | − | 0.941343i | \(-0.609564\pi\) |
0.983952 | − | 0.178432i | \(-0.0571023\pi\) | |||||||
\(32\) | −2.47063 | + | 5.08881i | −0.436750 | + | 0.899583i | ||||
\(33\) | 0.0237409 | + | 0.0282933i | 0.00413277 | + | 0.00492524i | ||||
\(34\) | 7.23685 | + | 0.911576i | 1.24111 | + | 0.156334i | ||||
\(35\) | 2.26097 | − | 0.398670i | 0.382174 | − | 0.0673876i | ||||
\(36\) | 4.19156 | − | 4.28646i | 0.698594 | − | 0.714410i | ||||
\(37\) | 8.80926i | 1.44823i | 0.689678 | + | 0.724116i | \(0.257752\pi\) | ||||
−0.689678 | + | 0.724116i | \(0.742248\pi\) | |||||||
\(38\) | 6.15673 | − | 0.307741i | 0.998753 | − | 0.0499223i | ||||
\(39\) | 0.0760464i | 0.0121772i | ||||||||
\(40\) | −0.428204 | + | 2.09756i | −0.0677050 | + | 0.331654i | ||||
\(41\) | −2.56508 | + | 0.452292i | −0.400598 | + | 0.0706361i | −0.370317 | − | 0.928905i | \(-0.620751\pi\) |
−0.0302802 | + | 0.999541i | \(0.509640\pi\) | |||||||
\(42\) | −0.0261453 | + | 0.207563i | −0.00403431 | + | 0.0320277i | ||||
\(43\) | −6.43028 | − | 7.66330i | −0.980608 | − | 1.16864i | −0.985675 | − | 0.168656i | \(-0.946057\pi\) |
0.00506711 | − | 0.999987i | \(-0.498387\pi\) | |||||||
\(44\) | −0.854829 | + | 1.25038i | −0.128870 | + | 0.188502i | ||||
\(45\) | 1.13444 | − | 1.96492i | 0.169113 | − | 0.292912i | ||||
\(46\) | 1.13685 | − | 2.21404i | 0.167620 | − | 0.326442i | ||||
\(47\) | 3.62828 | + | 9.96861i | 0.529239 | + | 1.45407i | 0.859969 | + | 0.510346i | \(0.170483\pi\) |
−0.330730 | + | 0.943725i | \(0.607295\pi\) | |||||||
\(48\) | −0.171083 | − | 0.0937325i | −0.0246937 | − | 0.0135291i | ||||
\(49\) | 1.10029 | + | 1.90575i | 0.157184 | + | 0.272250i | ||||
\(50\) | −0.308097 | − | 6.25329i | −0.0435715 | − | 0.884349i | ||||
\(51\) | −0.0436787 | + | 0.247714i | −0.00611624 | + | 0.0346869i | ||||
\(52\) | −3.00313 | + | 0.840824i | −0.416459 | + | 0.116601i | ||||
\(53\) | 5.23679 | − | 6.24096i | 0.719328 | − | 0.857262i | −0.275237 | − | 0.961376i | \(-0.588756\pi\) |
0.994565 | + | 0.104114i | \(0.0332007\pi\) | |||||||
\(54\) | 0.281165 | + | 0.303411i | 0.0382617 | + | 0.0412890i | ||||
\(55\) | −0.196052 | + | 0.538649i | −0.0264357 | + | 0.0726315i | ||||
\(56\) | −8.48591 | + | 1.26247i | −1.13398 | + | 0.168705i | ||||
\(57\) | 0.000151609 | 0.212580i | 2.00811e−5 | 0.0281570i | ||||||
\(58\) | 0.401117 | + | 0.621918i | 0.0526692 | + | 0.0816619i | ||||
\(59\) | −7.79113 | − | 2.83574i | −1.01432 | − | 0.369182i | −0.219228 | − | 0.975674i | \(-0.570354\pi\) |
−0.795090 | + | 0.606492i | \(0.792576\pi\) | |||||||
\(60\) | −0.0715204 | − | 0.0183083i | −0.00923325 | − | 0.00236360i | ||||
\(61\) | −2.83699 | − | 2.38052i | −0.363239 | − | 0.304794i | 0.442841 | − | 0.896600i | \(-0.353971\pi\) |
−0.806080 | + | 0.591806i | \(0.798415\pi\) | |||||||
\(62\) | −3.00713 | + | 9.72690i | −0.381907 | + | 1.23532i | ||||
\(63\) | 8.95438 | + | 1.57890i | 1.12815 | + | 0.198923i | ||||
\(64\) | 1.80995 | − | 7.79257i | 0.226244 | − | 0.974071i | ||||
\(65\) | −1.02211 | + | 0.590117i | −0.126778 | + | 0.0731951i | ||||
\(66\) | −0.0416166 | − | 0.0315651i | −0.00512265 | − | 0.00388539i | ||||
\(67\) | −8.84545 | + | 3.21948i | −1.08064 | + | 0.393322i | −0.820147 | − | 0.572152i | \(-0.806109\pi\) |
−0.260497 | + | 0.965475i | \(0.583886\pi\) | |||||||
\(68\) | −10.2654 | + | 1.01400i | −1.24486 | + | 0.122966i | ||||
\(69\) | 0.0743296 | + | 0.0429142i | 0.00894823 | + | 0.00516627i | ||||
\(70\) | −2.99267 | + | 1.25927i | −0.357693 | + | 0.150512i | ||||
\(71\) | 6.90158 | − | 5.79111i | 0.819067 | − | 0.687279i | −0.133687 | − | 0.991024i | \(-0.542682\pi\) |
0.952753 | + | 0.303745i | \(0.0982371\pi\) | |||||||
\(72\) | −4.43483 | + | 7.22621i | −0.522649 | + | 0.851618i | ||||
\(73\) | −1.69979 | − | 9.64000i | −0.198946 | − | 1.12828i | −0.906687 | − | 0.421805i | \(-0.861397\pi\) |
0.707741 | − | 0.706472i | \(-0.249714\pi\) | |||||||
\(74\) | −2.76447 | − | 12.1476i | −0.321363 | − | 1.41213i | ||||
\(75\) | 0.215907 | 0.0249308 | ||||||||
\(76\) | −8.39329 | + | 2.35643i | −0.962776 | + | 0.270301i | ||||
\(77\) | −2.29716 | −0.261786 | ||||||||
\(78\) | −0.0238644 | − | 0.104865i | −0.00270211 | − | 0.0118736i | ||||
\(79\) | 2.62972 | + | 14.9139i | 0.295866 | + | 1.67794i | 0.663660 | + | 0.748034i | \(0.269002\pi\) |
−0.367794 | + | 0.929907i | \(0.619887\pi\) | |||||||
\(80\) | −0.0677710 | − | 3.02683i | −0.00757703 | − | 0.338409i | ||||
\(81\) | 6.87801 | − | 5.77133i | 0.764223 | − | 0.641259i | ||||
\(82\) | 3.39519 | − | 1.42865i | 0.374936 | − | 0.157768i | ||||
\(83\) | 10.6616 | + | 6.15546i | 1.17026 | + | 0.675650i | 0.953741 | − | 0.300629i | \(-0.0971965\pi\) |
0.216519 | + | 0.976279i | \(0.430530\pi\) | |||||||
\(84\) | −0.0290831 | − | 0.294425i | −0.00317322 | − | 0.0321244i | ||||
\(85\) | −3.66839 | + | 1.33518i | −0.397893 | + | 0.144821i | ||||
\(86\) | 11.2719 | + | 8.54945i | 1.21548 | + | 0.921911i | ||||
\(87\) | −0.0221016 | + | 0.0127604i | −0.00236954 | + | 0.00136806i | ||||
\(88\) | 0.786385 | − | 1.99248i | 0.0838289 | − | 0.212399i | ||||
\(89\) | 13.0613 | + | 2.30306i | 1.38450 | + | 0.244124i | 0.815757 | − | 0.578394i | \(-0.196321\pi\) |
0.568739 | + | 0.822518i | \(0.307432\pi\) | |||||||
\(90\) | −0.947731 | + | 3.06554i | −0.0998996 | + | 0.323136i | ||||
\(91\) | −3.62321 | − | 3.04023i | −0.379816 | − | 0.318703i | ||||
\(92\) | −0.872873 | + | 3.40982i | −0.0910033 | + | 0.355499i | ||||
\(93\) | −0.329923 | − | 0.120082i | −0.0342115 | − | 0.0124520i | ||||
\(94\) | −8.13153 | − | 12.6077i | −0.838703 | − | 1.30038i | ||||
\(95\) | −2.85604 | + | 1.65165i | −0.293024 | + | 0.169456i | ||||
\(96\) | 0.265330 | + | 0.0755648i | 0.0270802 | + | 0.00771230i | ||||
\(97\) | −1.74814 | + | 4.80298i | −0.177497 | + | 0.487669i | −0.996254 | − | 0.0864706i | \(-0.972441\pi\) |
0.818757 | + | 0.574140i | \(0.194663\pi\) | |||||||
\(98\) | −2.11530 | − | 2.28266i | −0.213677 | − | 0.230584i | ||||
\(99\) | −1.45925 | + | 1.73906i | −0.146660 | + | 0.174782i | ||||
\(100\) | 2.38722 | + | 8.52633i | 0.238722 | + | 0.852633i | ||||
\(101\) | 1.38063 | − | 7.82996i | 0.137378 | − | 0.779110i | −0.835796 | − | 0.549040i | \(-0.814993\pi\) |
0.973174 | − | 0.230070i | \(-0.0738955\pi\) | |||||||
\(102\) | −0.0175052 | − | 0.355294i | −0.00173327 | − | 0.0351794i | ||||
\(103\) | −3.24938 | − | 5.62810i | −0.320171 | − | 0.554553i | 0.660352 | − | 0.750956i | \(-0.270407\pi\) |
−0.980523 | + | 0.196403i | \(0.937074\pi\) | |||||||
\(104\) | 3.87732 | − | 2.10188i | 0.380203 | − | 0.206107i | ||||
\(105\) | −0.0382950 | − | 0.105215i | −0.00373721 | − | 0.0102679i | ||||
\(106\) | −5.26280 | + | 10.2494i | −0.511169 | + | 0.995509i | ||||
\(107\) | 6.67434 | − | 11.5603i | 0.645233 | − | 1.11758i | −0.339015 | − | 0.940781i | \(-0.610094\pi\) |
0.984248 | − | 0.176795i | \(-0.0565731\pi\) | |||||||
\(108\) | −0.482929 | − | 0.330157i | −0.0464699 | − | 0.0317694i | ||||
\(109\) | 7.71028 | + | 9.18876i | 0.738511 | + | 0.880124i | 0.996288 | − | 0.0860809i | \(-0.0274344\pi\) |
−0.257777 | + | 0.966204i | \(0.582990\pi\) | |||||||
\(110\) | 0.101312 | − | 0.804298i | 0.00965970 | − | 0.0766868i | ||||
\(111\) | 0.423094 | − | 0.0746029i | 0.0401583 | − | 0.00708100i | ||||
\(112\) | 11.3055 | − | 4.40389i | 1.06827 | − | 0.416129i | ||||
\(113\) | 0.773048i | 0.0727222i | 0.999339 | + | 0.0363611i | \(0.0115766\pi\) | ||||
−0.999339 | + | 0.0363611i | \(0.988423\pi\) | |||||||
\(114\) | −0.0669198 | − | 0.293091i | −0.00626761 | − | 0.0274505i | ||||
\(115\) | 1.33205i | 0.124214i | ||||||||
\(116\) | −0.748289 | − | 0.731722i | −0.0694769 | − | 0.0679387i | ||||
\(117\) | −4.60320 | + | 0.811669i | −0.425566 | + | 0.0750388i | ||||
\(118\) | 11.6335 | + | 1.46539i | 1.07095 | + | 0.134900i | ||||
\(119\) | −10.0561 | − | 11.9844i | −0.921838 | − | 1.09860i | ||||
\(120\) | 0.104369 | + | 0.00280230i | 0.00952754 | + | 0.000255813i | ||||
\(121\) | −5.21323 | + | 9.02957i | −0.473930 | + | 0.820870i | ||||
\(122\) | 4.65913 | + | 2.39234i | 0.421817 | + | 0.216592i | ||||
\(123\) | 0.0434457 | + | 0.119366i | 0.00391737 | + | 0.0107629i | ||||
\(124\) | 1.09427 | − | 14.3567i | 0.0982683 | − | 1.28927i | ||||
\(125\) | 3.56767 | + | 6.17939i | 0.319102 | + | 0.552701i | ||||
\(126\) | −12.8432 | + | 0.632779i | −1.14416 | + | 0.0563724i | ||||
\(127\) | 0.599259 | − | 3.39856i | 0.0531756 | − | 0.301574i | −0.946608 | − | 0.322388i | \(-0.895515\pi\) |
0.999783 | + | 0.0208137i | \(0.00662569\pi\) | |||||||
\(128\) | −0.0504258 | + | 11.3136i | −0.00445705 | + | 0.999990i | ||||
\(129\) | −0.313600 | + | 0.373734i | −0.0276109 | + | 0.0329054i | ||||
\(130\) | 1.22426 | − | 1.13450i | 0.107375 | − | 0.0995022i | ||||
\(131\) | −5.11120 | + | 14.0429i | −0.446568 | + | 1.22694i | 0.488530 | + | 0.872547i | \(0.337533\pi\) |
−0.935098 | + | 0.354389i | \(0.884689\pi\) | |||||||
\(132\) | 0.0672930 | + | 0.0304670i | 0.00585710 | + | 0.00265181i | ||||
\(133\) | −10.1344 | − | 8.49146i | −0.878764 | − | 0.736303i | ||||
\(134\) | 11.1872 | − | 7.21535i | 0.966425 | − | 0.623312i | ||||
\(135\) | −0.208040 | − | 0.0757205i | −0.0179053 | − | 0.00651698i | ||||
\(136\) | 13.8373 | − | 4.61969i | 1.18654 | − | 0.396135i | ||||
\(137\) | −4.04425 | − | 3.39353i | −0.345524 | − | 0.289929i | 0.453466 | − | 0.891274i | \(-0.350187\pi\) |
−0.798990 | + | 0.601345i | \(0.794632\pi\) | |||||||
\(138\) | −0.115964 | − | 0.0358512i | −0.00987154 | − | 0.00305185i | ||||
\(139\) | 2.03176 | + | 0.358254i | 0.172332 | + | 0.0303867i | 0.259148 | − | 0.965838i | \(-0.416558\pi\) |
−0.0868164 | + | 0.996224i | \(0.527669\pi\) | |||||||
\(140\) | 3.73159 | − | 2.67563i | 0.315377 | − | 0.226132i | ||||
\(141\) | 0.448050 | − | 0.258682i | 0.0377326 | − | 0.0217849i | ||||
\(142\) | −7.69964 | + | 10.1515i | −0.646140 | + | 0.851895i | ||||
\(143\) | 1.10969 | − | 0.403894i | 0.0927970 | − | 0.0337753i | ||||
\(144\) | 3.84775 | − | 11.3563i | 0.320645 | − | 0.946362i | ||||
\(145\) | −0.343016 | − | 0.198040i | −0.0284859 | − | 0.0164464i | ||||
\(146\) | 5.36911 | + | 12.7597i | 0.444351 | + | 1.05600i | ||||
\(147\) | 0.0822122 | − | 0.0689842i | 0.00678074 | − | 0.00568972i | ||||
\(148\) | 7.62417 | + | 15.8835i | 0.626703 | + | 1.30561i | ||||
\(149\) | 2.62167 | + | 14.8682i | 0.214776 | + | 1.21805i | 0.881295 | + | 0.472566i | \(0.156672\pi\) |
−0.666520 | + | 0.745487i | \(0.732217\pi\) | |||||||
\(150\) | −0.297726 | + | 0.0677546i | −0.0243092 | + | 0.00553214i | ||||
\(151\) | 6.29994 | 0.512682 | 0.256341 | − | 0.966586i | \(-0.417483\pi\) | ||||
0.256341 | + | 0.966586i | \(0.417483\pi\) | |||||||
\(152\) | 10.8345 | − | 5.88335i | 0.878793 | − | 0.477202i | ||||
\(153\) | −15.4607 | −1.24993 | ||||||||
\(154\) | 3.16768 | − | 0.720882i | 0.255259 | − | 0.0580903i | ||||
\(155\) | −0.946210 | − | 5.36622i | −0.0760014 | − | 0.431026i | ||||
\(156\) | 0.0658160 | + | 0.137115i | 0.00526950 | + | 0.0109780i | ||||
\(157\) | −0.586898 | + | 0.492466i | −0.0468395 | + | 0.0393030i | −0.665907 | − | 0.746035i | \(-0.731955\pi\) |
0.619067 | + | 0.785338i | \(0.287511\pi\) | |||||||
\(158\) | −8.30645 | − | 19.7403i | −0.660826 | − | 1.57046i | ||||
\(159\) | −0.344092 | − | 0.198662i | −0.0272883 | − | 0.0157549i | ||||
\(160\) | 1.04331 | + | 4.15259i | 0.0824812 | + | 0.328291i | ||||
\(161\) | −5.01624 | + | 1.82576i | −0.395335 | + | 0.143890i | ||||
\(162\) | −7.67334 | + | 10.1168i | −0.602875 | + | 0.794853i | ||||
\(163\) | 10.9317 | − | 6.31140i | 0.856234 | − | 0.494347i | −0.00651568 | − | 0.999979i | \(-0.502074\pi\) |
0.862749 | + | 0.505632i | \(0.168741\pi\) | |||||||
\(164\) | −4.23349 | + | 3.03550i | −0.330580 | + | 0.237033i | ||||
\(165\) | 0.0275308 | + | 0.00485442i | 0.00214327 | + | 0.000377916i | ||||
\(166\) | −16.6335 | − | 5.14236i | −1.29101 | − | 0.399125i | ||||
\(167\) | −10.1626 | − | 8.52746i | −0.786408 | − | 0.659875i | 0.158446 | − | 0.987368i | \(-0.449352\pi\) |
−0.944854 | + | 0.327493i | \(0.893796\pi\) | |||||||
\(168\) | 0.132499 | + | 0.396873i | 0.0102225 | + | 0.0306194i | ||||
\(169\) | −9.93120 | − | 3.61466i | −0.763938 | − | 0.278051i | ||||
\(170\) | 4.63955 | − | 2.99235i | 0.355837 | − | 0.229503i | ||||
\(171\) | −12.8662 | + | 2.27812i | −0.983903 | + | 0.174212i | ||||
\(172\) | −18.2264 | − | 8.25203i | −1.38975 | − | 0.629211i | ||||
\(173\) | 3.89414 | − | 10.6990i | 0.296066 | − | 0.813434i | −0.699082 | − | 0.715041i | \(-0.746408\pi\) |
0.995148 | − | 0.0983922i | \(-0.0313700\pi\) | |||||||
\(174\) | 0.0264728 | − | 0.0245318i | 0.00200690 | − | 0.00185975i | ||||
\(175\) | −8.63167 | + | 10.2868i | −0.652493 | + | 0.777611i | ||||
\(176\) | −0.459123 | + | 2.99432i | −0.0346077 | + | 0.225705i | ||||
\(177\) | −0.0702152 | + | 0.398210i | −0.00527770 | + | 0.0299313i | ||||
\(178\) | −18.7337 | + | 0.923003i | −1.40415 | + | 0.0691820i | ||||
\(179\) | 3.55631 | + | 6.15972i | 0.265811 | + | 0.460399i | 0.967776 | − | 0.251813i | \(-0.0810268\pi\) |
−0.701964 | + | 0.712212i | \(0.747693\pi\) | |||||||
\(180\) | 0.344871 | − | 4.52465i | 0.0257051 | − | 0.337248i | ||||
\(181\) | −3.43948 | − | 9.44990i | −0.255655 | − | 0.702405i | −0.999423 | − | 0.0339678i | \(-0.989186\pi\) |
0.743768 | − | 0.668438i | \(-0.233037\pi\) | |||||||
\(182\) | 5.95032 | + | 3.05534i | 0.441067 | + | 0.226477i | ||||
\(183\) | −0.0903068 | + | 0.156416i | −0.00667567 | + | 0.0115626i | ||||
\(184\) | 0.133603 | − | 4.97592i | 0.00984934 | − | 0.366830i | ||||
\(185\) | 4.28591 | + | 5.10775i | 0.315106 | + | 0.375529i | ||||
\(186\) | 0.492634 | + | 0.0620536i | 0.0361217 | + | 0.00454999i | ||||
\(187\) | 3.84670 | − | 0.678278i | 0.281299 | − | 0.0496006i | ||||
\(188\) | 15.1695 | + | 14.8336i | 1.10635 | + | 1.08186i | ||||
\(189\) | − | 0.887223i | − | 0.0645360i | ||||||
\(190\) | 3.42005 | − | 3.17383i | 0.248116 | − | 0.230254i | ||||
\(191\) | 8.64923i | 0.625836i | 0.949780 | + | 0.312918i | \(0.101307\pi\) | ||||
−0.949780 | + | 0.312918i | \(0.898693\pi\) | |||||||
\(192\) | −0.389592 | − | 0.0209361i | −0.0281164 | − | 0.00151093i | ||||
\(193\) | 14.2454 | − | 2.51184i | 1.02540 | − | 0.180806i | 0.364442 | − | 0.931226i | \(-0.381260\pi\) |
0.660962 | + | 0.750420i | \(0.270149\pi\) | |||||||
\(194\) | 0.903369 | − | 7.17170i | 0.0648581 | − | 0.514898i | ||||
\(195\) | 0.0369983 | + | 0.0440929i | 0.00264951 | + | 0.00315756i | ||||
\(196\) | 3.63324 | + | 2.48388i | 0.259517 | + | 0.177420i | ||||
\(197\) | −1.14351 | + | 1.98061i | −0.0814716 | + | 0.141113i | −0.903882 | − | 0.427781i | \(-0.859295\pi\) |
0.822411 | + | 0.568894i | \(0.192629\pi\) | |||||||
\(198\) | 1.46649 | − | 2.85602i | 0.104219 | − | 0.202969i | ||||
\(199\) | −2.83294 | − | 7.78345i | −0.200822 | − | 0.551754i | 0.797873 | − | 0.602826i | \(-0.205959\pi\) |
−0.998695 | + | 0.0510715i | \(0.983736\pi\) | |||||||
\(200\) | −5.96756 | − | 11.0083i | −0.421970 | − | 0.778404i | ||||
\(201\) | 0.229536 | + | 0.397568i | 0.0161902 | + | 0.0280423i | ||||
\(202\) | 0.553319 | + | 11.2304i | 0.0389314 | + | 0.790170i | ||||
\(203\) | 0.275629 | − | 1.56317i | 0.0193454 | − | 0.109713i | ||||
\(204\) | 0.135635 | + | 0.484442i | 0.00949637 | + | 0.0339177i | ||||
\(205\) | −1.26722 | + | 1.51022i | −0.0885066 | + | 0.105478i | ||||
\(206\) | 6.24693 | + | 6.74120i | 0.435245 | + | 0.469681i | ||||
\(207\) | −1.80432 | + | 4.95733i | −0.125409 | + | 0.344558i | ||||
\(208\) | −4.68706 | + | 4.11517i | −0.324989 | + | 0.285335i | ||||
\(209\) | 3.10123 | − | 1.13126i | 0.214516 | − | 0.0782509i | ||||
\(210\) | 0.0858249 | + | 0.133069i | 0.00592248 | + | 0.00918262i | ||||
\(211\) | 13.0032 | + | 4.73277i | 0.895175 | + | 0.325817i | 0.748318 | − | 0.663341i | \(-0.230862\pi\) |
0.146857 | + | 0.989158i | \(0.453084\pi\) | |||||||
\(212\) | 4.04077 | − | 15.7850i | 0.277521 | − | 1.08412i | ||||
\(213\) | −0.336585 | − | 0.282428i | −0.0230624 | − | 0.0193517i | ||||
\(214\) | −5.57584 | + | 18.0357i | −0.381157 | + | 1.23289i | ||||
\(215\) | −7.45676 | − | 1.31483i | −0.508547 | − | 0.0896705i | ||||
\(216\) | 0.769546 | + | 0.303722i | 0.0523610 | + | 0.0206657i | ||||
\(217\) | 18.9112 | − | 10.9184i | 1.28378 | − | 0.741188i | ||||
\(218\) | −13.5157 | − | 10.2513i | −0.915399 | − | 0.694306i | ||||
\(219\) | −0.448599 | + | 0.163277i | −0.0303135 | + | 0.0110332i | ||||
\(220\) | 0.112696 | + | 1.14088i | 0.00759793 | + | 0.0769184i | ||||
\(221\) | 6.96492 | + | 4.02120i | 0.468511 | + | 0.270495i | ||||
\(222\) | −0.560017 | + | 0.235647i | −0.0375859 | + | 0.0158156i | ||||
\(223\) | 7.16674 | − | 6.01361i | 0.479921 | − | 0.402701i | −0.370477 | − | 0.928842i | \(-0.620806\pi\) |
0.850398 | + | 0.526140i | \(0.176361\pi\) | |||||||
\(224\) | −14.2078 | + | 9.62061i | −0.949300 | + | 0.642804i | ||||
\(225\) | 2.30445 | + | 13.0692i | 0.153630 | + | 0.871279i | ||||
\(226\) | −0.242593 | − | 1.06600i | −0.0161371 | − | 0.0709092i | ||||
\(227\) | 28.0188 | 1.85967 | 0.929837 | − | 0.367972i | \(-0.119948\pi\) | ||||
0.929837 | + | 0.367972i | \(0.119948\pi\) | |||||||
\(228\) | 0.184256 | + | 0.383160i | 0.0122026 | + | 0.0253754i | ||||
\(229\) | 21.2119 | 1.40172 | 0.700861 | − | 0.713298i | \(-0.252799\pi\) | ||||
0.700861 | + | 0.713298i | \(0.252799\pi\) | |||||||
\(230\) | −0.418017 | − | 1.83684i | −0.0275632 | − | 0.121118i | ||||
\(231\) | 0.0194540 | + | 0.110329i | 0.00127998 | + | 0.00725911i | ||||
\(232\) | 1.26148 | + | 0.774189i | 0.0828204 | + | 0.0508280i | ||||
\(233\) | 7.85528 | − | 6.59136i | 0.514617 | − | 0.431815i | −0.348134 | − | 0.937445i | \(-0.613184\pi\) |
0.862750 | + | 0.505630i | \(0.168740\pi\) | |||||||
\(234\) | 6.09291 | − | 2.56381i | 0.398306 | − | 0.167601i | ||||
\(235\) | 6.95370 | + | 4.01472i | 0.453609 | + | 0.261891i | ||||
\(236\) | −16.5020 | + | 1.63005i | −1.07419 | + | 0.106107i | ||||
\(237\) | 0.694019 | − | 0.252602i | 0.0450814 | − | 0.0164083i | ||||
\(238\) | 17.6277 | + | 13.3702i | 1.14264 | + | 0.866659i | ||||
\(239\) | −3.59307 | + | 2.07446i | −0.232416 | + | 0.134186i | −0.611686 | − | 0.791100i | \(-0.709509\pi\) |
0.379270 | + | 0.925286i | \(0.376175\pi\) | |||||||
\(240\) | −0.144800 | + | 0.0288882i | −0.00934678 | + | 0.00186473i | ||||
\(241\) | −7.29483 | − | 1.28628i | −0.469902 | − | 0.0828563i | −0.0663169 | − | 0.997799i | \(-0.521125\pi\) |
−0.403585 | + | 0.914942i | \(0.632236\pi\) | |||||||
\(242\) | 4.35520 | − | 14.0874i | 0.279963 | − | 0.905571i | ||||
\(243\) | −1.00764 | − | 0.845509i | −0.0646401 | − | 0.0542395i | ||||
\(244\) | −7.17548 | − | 1.83684i | −0.459363 | − | 0.117591i | ||||
\(245\) | 1.56516 | + | 0.569670i | 0.0999942 | + | 0.0363949i | ||||
\(246\) | −0.0973685 | − | 0.150967i | −0.00620799 | − | 0.00962529i | ||||
\(247\) | 6.38862 | + | 2.32011i | 0.406498 | + | 0.147625i | ||||
\(248\) | 2.99637 | + | 20.1406i | 0.190270 | + | 1.27893i | ||||
\(249\) | 0.205347 | − | 0.564187i | 0.0130133 | − | 0.0357539i | ||||
\(250\) | −6.85884 | − | 7.40152i | −0.433791 | − | 0.468113i | ||||
\(251\) | 5.06780 | − | 6.03957i | 0.319877 | − | 0.381214i | −0.582014 | − | 0.813179i | \(-0.697735\pi\) |
0.901891 | + | 0.431965i | \(0.142179\pi\) | |||||||
\(252\) | 17.5116 | − | 4.90295i | 1.10313 | − | 0.308857i | ||||
\(253\) | 0.231440 | − | 1.31256i | 0.0145505 | − | 0.0825202i | ||||
\(254\) | 0.240166 | + | 4.87453i | 0.0150694 | + | 0.305855i | ||||
\(255\) | 0.0951932 | + | 0.164879i | 0.00596123 | + | 0.0103252i | ||||
\(256\) | −3.48083 | − | 15.6168i | −0.217552 | − | 0.976049i | ||||
\(257\) | −2.87499 | − | 7.89897i | −0.179337 | − | 0.492724i | 0.817154 | − | 0.576419i | \(-0.195550\pi\) |
−0.996491 | + | 0.0836944i | \(0.973328\pi\) | |||||||
\(258\) | 0.315158 | − | 0.613775i | 0.0196209 | − | 0.0382120i | ||||
\(259\) | −13.3603 | + | 23.1407i | −0.830170 | + | 1.43790i | ||||
\(260\) | −1.33218 | + | 1.94862i | −0.0826184 | + | 0.120848i | ||||
\(261\) | −1.00830 | − | 1.20165i | −0.0624125 | − | 0.0743803i | ||||
\(262\) | 2.64126 | − | 20.9685i | 0.163178 | − | 1.29544i | ||||
\(263\) | −22.8569 | + | 4.03030i | −1.40942 | + | 0.248519i | −0.826008 | − | 0.563658i | \(-0.809393\pi\) |
−0.583411 | + | 0.812177i | \(0.698282\pi\) | |||||||
\(264\) | −0.102355 | − | 0.0208951i | −0.00629952 | − | 0.00128601i | ||||
\(265\) | − | 6.16643i | − | 0.378801i | ||||||
\(266\) | 16.6396 | + | 8.52903i | 1.02024 | + | 0.522949i | ||||
\(267\) | − | 0.646817i | − | 0.0395846i | ||||||
\(268\) | −13.1623 | + | 13.4604i | −0.804018 | + | 0.822222i | ||||
\(269\) | −22.6141 | + | 3.98747i | −1.37880 | + | 0.243120i | −0.813405 | − | 0.581698i | \(-0.802389\pi\) |
−0.565398 | + | 0.824818i | \(0.691277\pi\) | |||||||
\(270\) | 0.310641 | + | 0.0391293i | 0.0189050 | + | 0.00238133i | ||||
\(271\) | 1.64574 | + | 1.96132i | 0.0999715 | + | 0.119141i | 0.813710 | − | 0.581270i | \(-0.197444\pi\) |
−0.713739 | + | 0.700412i | \(0.753000\pi\) | |||||||
\(272\) | −17.6313 | + | 10.7127i | −1.06905 | + | 0.649552i | ||||
\(273\) | −0.115334 | + | 0.199764i | −0.00698031 | + | 0.0120902i | ||||
\(274\) | 6.64178 | + | 3.41039i | 0.401245 | + | 0.206029i | ||||
\(275\) | −1.14672 | − | 3.15058i | −0.0691496 | − | 0.189987i | ||||
\(276\) | 0.171160 | + | 0.0130459i | 0.0103026 | + | 0.000785272i | ||||
\(277\) | 0.506680 | + | 0.877596i | 0.0304435 | + | 0.0527296i | 0.880846 | − | 0.473403i | \(-0.156975\pi\) |
−0.850402 | + | 0.526133i | \(0.823641\pi\) | |||||||
\(278\) | −2.91414 | + | 0.143578i | −0.174778 | + | 0.00861126i | ||||
\(279\) | 3.74738 | − | 21.2525i | 0.224350 | − | 1.27235i | ||||
\(280\) | −4.30605 | + | 4.86060i | −0.257336 | + | 0.290476i | ||||
\(281\) | −0.958866 | + | 1.14273i | −0.0572011 | + | 0.0681697i | −0.793886 | − | 0.608066i | \(-0.791946\pi\) |
0.736685 | + | 0.676236i | \(0.236390\pi\) | |||||||
\(282\) | −0.536663 | + | 0.497315i | −0.0319578 | + | 0.0296147i | ||||
\(283\) | −0.620886 | + | 1.70587i | −0.0369078 | + | 0.101403i | −0.956778 | − | 0.290820i | \(-0.906072\pi\) |
0.919870 | + | 0.392224i | \(0.128294\pi\) | |||||||
\(284\) | 7.43179 | − | 16.4147i | 0.440995 | − | 0.974036i | ||||
\(285\) | 0.103513 | + | 0.123184i | 0.00613160 | + | 0.00729678i | ||||
\(286\) | −1.40347 | + | 0.905189i | −0.0829887 | + | 0.0535250i | ||||
\(287\) | −7.42407 | − | 2.70214i | −0.438229 | − | 0.159502i | ||||
\(288\) | −1.74209 | + | 16.8674i | −0.102654 | + | 0.993920i | ||||
\(289\) | 7.35519 | + | 6.17174i | 0.432658 | + | 0.363043i | ||||
\(290\) | 0.535152 | + | 0.165446i | 0.0314252 | + | 0.00971531i | ||||
\(291\) | 0.245484 | + | 0.0432854i | 0.0143905 | + | 0.00253744i | ||||
\(292\) | −11.4079 | − | 15.9102i | −0.667600 | − | 0.931074i | ||||
\(293\) | −22.4015 | + | 12.9335i | −1.30871 | + | 0.755585i | −0.981881 | − | 0.189498i | \(-0.939314\pi\) |
−0.326831 | + | 0.945083i | \(0.605981\pi\) | |||||||
\(294\) | −0.0917188 | + | 0.120926i | −0.00534915 | + | 0.00705252i | ||||
\(295\) | −5.89707 | + | 2.14636i | −0.343341 | + | 0.124966i | ||||
\(296\) | −15.4978 | − | 19.5100i | −0.900794 | − | 1.13400i | ||||
\(297\) | 0.191840 | + | 0.110759i | 0.0111317 | + | 0.00642690i | ||||
\(298\) | −8.28103 | − | 19.6799i | −0.479707 | − | 1.14003i | ||||
\(299\) | 2.10218 | − | 1.76394i | 0.121572 | − | 0.102011i | ||||
\(300\) | 0.389289 | − | 0.186861i | 0.0224756 | − | 0.0107884i | ||||
\(301\) | −5.26914 | − | 29.8828i | −0.303708 | − | 1.72241i | ||||
\(302\) | −8.68735 | + | 1.97701i | −0.499901 | + | 0.113764i | ||||
\(303\) | −0.387752 | −0.0222758 | ||||||||
\(304\) | −13.0940 | + | 11.5129i | −0.750993 | + | 0.660310i | ||||
\(305\) | −2.80311 | −0.160506 | ||||||||
\(306\) | 21.3197 | − | 4.85180i | 1.21876 | − | 0.277359i | ||||
\(307\) | 0.350833 | + | 1.98967i | 0.0200231 | + | 0.113557i | 0.993181 | − | 0.116581i | \(-0.0371935\pi\) |
−0.973158 | + | 0.230138i | \(0.926082\pi\) | |||||||
\(308\) | −4.14188 | + | 1.98813i | −0.236005 | + | 0.113284i | ||||
\(309\) | −0.242790 | + | 0.203725i | −0.0138119 | + | 0.0115895i | ||||
\(310\) | 2.98878 | + | 7.10286i | 0.169751 | + | 0.403415i | ||||
\(311\) | −23.8648 | − | 13.7783i | −1.35325 | − | 0.781298i | −0.364545 | − | 0.931186i | \(-0.618776\pi\) |
−0.988703 | + | 0.149887i | \(0.952109\pi\) | |||||||
\(312\) | −0.133786 | − | 0.168421i | −0.00757414 | − | 0.00953498i | ||||
\(313\) | −15.2863 | + | 5.56377i | −0.864034 | + | 0.314483i | −0.735749 | − | 0.677255i | \(-0.763170\pi\) |
−0.128285 | + | 0.991737i | \(0.540947\pi\) | |||||||
\(314\) | 0.654764 | − | 0.863266i | 0.0369505 | − | 0.0487169i | ||||
\(315\) | 5.96007 | − | 3.44105i | 0.335812 | − | 0.193881i | ||||
\(316\) | 17.6490 | + | 24.6144i | 0.992835 | + | 1.38467i | ||||
\(317\) | −3.12323 | − | 0.550709i | −0.175418 | − | 0.0309309i | 0.0852491 | − | 0.996360i | \(-0.472831\pi\) |
−0.260667 | + | 0.965429i | \(0.583942\pi\) | |||||||
\(318\) | 0.536831 | + | 0.165965i | 0.0301040 | + | 0.00930684i | ||||
\(319\) | 0.303588 | + | 0.254741i | 0.0169977 | + | 0.0142628i | ||||
\(320\) | −2.74183 | − | 5.39884i | −0.153273 | − | 0.301804i | ||||
\(321\) | −0.611745 | − | 0.222657i | −0.0341443 | − | 0.0124275i | ||||
\(322\) | 6.34422 | − | 4.09181i | 0.353550 | − | 0.228028i | ||||
\(323\) | 19.4778 | + | 11.2270i | 1.08377 | + | 0.624686i | ||||
\(324\) | 7.40640 | − | 16.3587i | 0.411467 | − | 0.908815i | ||||
\(325\) | 2.36104 | − | 6.48691i | 0.130967 | − | 0.359829i | ||||
\(326\) | −13.0937 | + | 12.1336i | −0.725192 | + | 0.672021i | ||||
\(327\) | 0.376025 | − | 0.448129i | 0.0207942 | − | 0.0247816i | ||||
\(328\) | 4.88522 | − | 5.51436i | 0.269741 | − | 0.304479i | ||||
\(329\) | −5.58762 | + | 31.6889i | −0.308055 | + | 1.74707i | ||||
\(330\) | −0.0394871 | + | 0.00194552i | −0.00217369 | + | 0.000107097i | ||||
\(331\) | −0.852024 | − | 1.47575i | −0.0468315 | − | 0.0811145i | 0.841659 | − | 0.540009i | \(-0.181579\pi\) |
−0.888491 | + | 0.458894i | \(0.848246\pi\) | |||||||
\(332\) | 24.5506 | + | 1.87126i | 1.34739 | + | 0.102699i | ||||
\(333\) | 9.03166 | + | 24.8143i | 0.494932 | + | 1.35981i | ||||
\(334\) | 16.6899 | + | 8.56982i | 0.913229 | + | 0.468920i | ||||
\(335\) | −3.56238 | + | 6.17023i | −0.194634 | + | 0.337116i | ||||
\(336\) | −0.307255 | − | 0.505691i | −0.0167621 | − | 0.0275877i | ||||
\(337\) | −7.69079 | − | 9.16552i | −0.418944 | − | 0.499278i | 0.514755 | − | 0.857337i | \(-0.327883\pi\) |
−0.933699 | + | 0.358060i | \(0.883438\pi\) | |||||||
\(338\) | 14.8290 | + | 1.86791i | 0.806592 | + | 0.101601i | ||||
\(339\) | 0.0371282 | − | 0.00654671i | 0.00201653 | − | 0.000355568i | ||||
\(340\) | −5.45869 | + | 5.58228i | −0.296039 | + | 0.302742i | ||||
\(341\) | 5.45211i | 0.295249i | ||||||||
\(342\) | 17.0270 | − | 7.17903i | 0.920716 | − | 0.388197i | ||||
\(343\) | − | 14.5578i | − | 0.786049i | ||||||
\(344\) | 27.7231 | + | 5.65948i | 1.49473 | + | 0.305139i | ||||
\(345\) | 0.0639763 | − | 0.0112807i | 0.00344437 | − | 0.000607335i | ||||
\(346\) | −2.01233 | + | 15.9756i | −0.108184 | + | 0.858851i | ||||
\(347\) | 3.49270 | + | 4.16244i | 0.187498 | + | 0.223451i | 0.851602 | − | 0.524189i | \(-0.175631\pi\) |
−0.664104 | + | 0.747640i | \(0.731187\pi\) | |||||||
\(348\) | −0.0288064 | + | 0.0421358i | −0.00154419 | + | 0.00225872i | ||||
\(349\) | −3.58269 | + | 6.20540i | −0.191777 | + | 0.332167i | −0.945839 | − | 0.324636i | \(-0.894758\pi\) |
0.754062 | + | 0.656803i | \(0.228092\pi\) | |||||||
\(350\) | 8.67455 | − | 16.8938i | 0.463674 | − | 0.903013i | ||||
\(351\) | 0.155994 | + | 0.428591i | 0.00832637 | + | 0.0228765i | ||||
\(352\) | −0.306548 | − | 4.27311i | −0.0163391 | − | 0.227758i | ||||
\(353\) | −12.4326 | − | 21.5339i | −0.661721 | − | 1.14614i | −0.980163 | − | 0.198193i | \(-0.936493\pi\) |
0.318442 | − | 0.947942i | \(-0.396840\pi\) | |||||||
\(354\) | −0.0281403 | − | 0.571149i | −0.00149564 | − | 0.0303562i | ||||
\(355\) | 1.18413 | − | 6.71556i | 0.0628473 | − | 0.356425i | ||||
\(356\) | 25.5433 | − | 7.15168i | 1.35379 | − | 0.379038i | ||||
\(357\) | −0.490427 | + | 0.584468i | −0.0259562 | + | 0.0309333i | ||||
\(358\) | −6.83701 | − | 7.37796i | −0.361347 | − | 0.389937i | ||||
\(359\) | −2.84636 | + | 7.82030i | −0.150225 | + | 0.412740i | −0.991864 | − | 0.127301i | \(-0.959369\pi\) |
0.841639 | + | 0.540040i | \(0.181591\pi\) | |||||||
\(360\) | 0.944339 | + | 6.34752i | 0.0497710 | + | 0.334544i | ||||
\(361\) | 17.8634 | + | 6.47291i | 0.940180 | + | 0.340679i | ||||
\(362\) | 7.70841 | + | 11.9516i | 0.405145 | + | 0.628164i | ||||
\(363\) | 0.477825 | + | 0.173914i | 0.0250793 | + | 0.00912812i | ||||
\(364\) | −9.16403 | − | 2.34588i | −0.480326 | − | 0.122958i | ||||
\(365\) | −5.67566 | − | 4.76244i | −0.297077 | − | 0.249278i | ||||
\(366\) | 0.0754436 | − | 0.244030i | 0.00394350 | − | 0.0127557i | ||||
\(367\) | −5.79355 | − | 1.02156i | −0.302421 | − | 0.0533249i | 0.0203787 | − | 0.999792i | \(-0.493513\pi\) |
−0.322799 | + | 0.946467i | \(0.604624\pi\) | |||||||
\(368\) | 1.37728 | + | 6.90350i | 0.0717958 | + | 0.359870i | ||||
\(369\) | −6.76170 | + | 3.90387i | −0.352000 | + | 0.203227i | ||||
\(370\) | −7.51297 | − | 5.69838i | −0.390581 | − | 0.296245i | ||||
\(371\) | 23.2215 | − | 8.45195i | 1.20560 | − | 0.438803i | ||||
\(372\) | −0.698794 | + | 0.0690262i | −0.0362308 | + | 0.00357884i | ||||
\(373\) | 18.2764 | + | 10.5519i | 0.946317 | + | 0.546356i | 0.891935 | − | 0.452164i | \(-0.149348\pi\) |
0.0543820 | + | 0.998520i | \(0.482681\pi\) | |||||||
\(374\) | −5.09158 | + | 2.14247i | −0.263279 | + | 0.110784i | ||||
\(375\) | 0.266572 | − | 0.223681i | 0.0137657 | − | 0.0115508i | ||||
\(376\) | −25.5731 | − | 15.6946i | −1.31883 | − | 0.809385i | ||||
\(377\) | 0.141693 | + | 0.803583i | 0.00729758 | + | 0.0413866i | ||||
\(378\) | 0.278423 | + | 1.22344i | 0.0143205 | + | 0.0629271i | ||||
\(379\) | −12.0168 | −0.617263 | −0.308631 | − | 0.951182i | \(-0.599871\pi\) | ||||
−0.308631 | + | 0.951182i | \(0.599871\pi\) | |||||||
\(380\) | −3.72010 | + | 5.44983i | −0.190837 | + | 0.279570i | ||||
\(381\) | −0.168302 | −0.00862240 | ||||||||
\(382\) | −2.71425 | − | 11.9269i | −0.138873 | − | 0.610234i | ||||
\(383\) | −3.07265 | − | 17.4259i | −0.157005 | − | 0.890419i | −0.956930 | − | 0.290319i | \(-0.906238\pi\) |
0.799925 | − | 0.600100i | \(-0.204873\pi\) | |||||||
\(384\) | 0.543801 | − | 0.0933896i | 0.0277507 | − | 0.00476577i | ||||
\(385\) | −1.33193 | + | 1.11762i | −0.0678815 | + | 0.0569593i | ||||
\(386\) | −18.8555 | + | 7.93412i | −0.959719 | + | 0.403836i | ||||
\(387\) | −25.9699 | − | 14.9937i | −1.32012 | − | 0.762173i | ||||
\(388\) | 1.00487 | + | 10.1729i | 0.0510147 | + | 0.516453i | ||||
\(389\) | 22.3252 | − | 8.12572i | 1.13193 | − | 0.411991i | 0.292940 | − | 0.956131i | \(-0.405366\pi\) |
0.838994 | + | 0.544140i | \(0.183144\pi\) | |||||||
\(390\) | −0.0648561 | − | 0.0491916i | −0.00328412 | − | 0.00249091i | ||||
\(391\) | 7.86084 | − | 4.53846i | 0.397540 | − | 0.229520i | ||||
\(392\) | −5.78955 | − | 2.28500i | −0.292417 | − | 0.115410i | ||||
\(393\) | 0.717744 | + | 0.126558i | 0.0362054 | + | 0.00638399i | ||||
\(394\) | 0.955303 | − | 3.09003i | 0.0481275 | − | 0.155673i | ||||
\(395\) | 8.78070 | + | 7.36788i | 0.441805 | + | 0.370718i | ||||
\(396\) | −1.12597 | + | 4.39853i | −0.0565822 | + | 0.221035i | ||||
\(397\) | 26.0487 | + | 9.48094i | 1.30734 | + | 0.475835i | 0.899382 | − | 0.437164i | \(-0.144017\pi\) |
0.407963 | + | 0.912999i | \(0.366239\pi\) | |||||||
\(398\) | 6.34906 | + | 9.84402i | 0.318250 | + | 0.493436i | ||||
\(399\) | −0.322006 | + | 0.558650i | −0.0161205 | + | 0.0279675i | ||||
\(400\) | 11.6836 | + | 13.3072i | 0.584178 | + | 0.665362i | ||||
\(401\) | −8.35712 | + | 22.9610i | −0.417334 | + | 1.14662i | 0.535873 | + | 0.844299i | \(0.319983\pi\) |
−0.953207 | + | 0.302318i | \(0.902239\pi\) | |||||||
\(402\) | −0.441283 | − | 0.476197i | −0.0220092 | − | 0.0237506i | ||||
\(403\) | −7.21573 | + | 8.59938i | −0.359441 | + | 0.428366i | ||||
\(404\) | −4.28727 | − | 15.3126i | −0.213300 | − | 0.761832i | ||||
\(405\) | 1.18009 | − | 6.69262i | 0.0586392 | − | 0.332559i | ||||
\(406\) | 0.110464 | + | 2.24204i | 0.00548226 | + | 0.111271i | ||||
\(407\) | −3.33575 | − | 5.77769i | −0.165347 | − | 0.286389i | ||||
\(408\) | −0.339060 | − | 0.625460i | −0.0167860 | − | 0.0309649i | ||||
\(409\) | −2.46916 | − | 6.78397i | −0.122092 | − | 0.335446i | 0.863557 | − | 0.504251i | \(-0.168231\pi\) |
−0.985649 | + | 0.168805i | \(0.946009\pi\) | |||||||
\(410\) | 1.27352 | − | 2.48019i | 0.0628945 | − | 0.122488i | ||||
\(411\) | −0.128736 | + | 0.222978i | −0.00635009 | + | 0.0109987i | ||||
\(412\) | −10.7297 | − | 7.33544i | −0.528616 | − | 0.361391i | ||||
\(413\) | −16.1655 | − | 19.2653i | −0.795453 | − | 0.947983i | ||||
\(414\) | 0.932398 | − | 7.40216i | 0.0458249 | − | 0.363796i | ||||
\(415\) | 9.17653 | − | 1.61807i | 0.450458 | − | 0.0794279i | ||||
\(416\) | 5.17185 | − | 7.14550i | 0.253571 | − | 0.350337i | ||||
\(417\) | − | 0.100616i | − | 0.00492719i | ||||||
\(418\) | −3.92145 | + | 2.53317i | −0.191805 | + | 0.123901i | ||||
\(419\) | 14.7450i | 0.720341i | 0.932887 | + | 0.360170i | \(0.117281\pi\) | ||||
−0.932887 | + | 0.360170i | \(0.882719\pi\) | |||||||
\(420\) | −0.160108 | − | 0.156563i | −0.00781246 | − | 0.00763949i | ||||
\(421\) | −2.41752 | + | 0.426275i | −0.117823 | + | 0.0207754i | −0.232249 | − | 0.972656i | \(-0.574608\pi\) |
0.114426 | + | 0.993432i | \(0.463497\pi\) | |||||||
\(422\) | −19.4160 | − | 2.44570i | −0.945156 | − | 0.119055i | ||||
\(423\) | 20.4406 | + | 24.3601i | 0.993855 | + | 1.18443i | ||||
\(424\) | −0.618485 | + | 23.0349i | −0.0300363 | + | 1.11867i | ||||
\(425\) | 11.4168 | − | 19.7744i | 0.553795 | − | 0.959201i | ||||
\(426\) | 0.552766 | + | 0.283831i | 0.0267816 | + | 0.0137517i | ||||
\(427\) | −3.84205 | − | 10.5559i | −0.185930 | − | 0.510838i | ||||
\(428\) | 2.02900 | − | 26.6202i | 0.0980753 | − | 1.28673i | ||||
\(429\) | −0.0287960 | − | 0.0498762i | −0.00139028 | − | 0.00240804i | ||||
\(430\) | 10.6952 | − | 0.526946i | 0.515766 | − | 0.0254116i | ||||
\(431\) | −5.88885 | + | 33.3973i | −0.283656 | + | 1.60869i | 0.426391 | + | 0.904539i | \(0.359785\pi\) |
−0.710047 | + | 0.704154i | \(0.751326\pi\) | |||||||
\(432\) | −1.15648 | − | 0.177325i | −0.0556413 | − | 0.00853157i | ||||
\(433\) | 12.1460 | − | 14.4750i | 0.583698 | − | 0.695624i | −0.390684 | − | 0.920525i | \(-0.627761\pi\) |
0.974382 | + | 0.224901i | \(0.0722059\pi\) | |||||||
\(434\) | −22.6514 | + | 20.9906i | −1.08730 | + | 1.00758i | ||||
\(435\) | −0.00660666 | + | 0.0181516i | −0.000316765 | + | 0.000870305i | ||||
\(436\) | 21.8546 | + | 9.89468i | 1.04664 | + | 0.473869i | ||||
\(437\) | 5.87294 | − | 4.93512i | 0.280941 | − | 0.236079i | ||||
\(438\) | 0.567359 | − | 0.365928i | 0.0271095 | − | 0.0174847i | ||||
\(439\) | 18.3905 | + | 6.69359i | 0.877730 | + | 0.319468i | 0.741293 | − | 0.671181i | \(-0.234213\pi\) |
0.136437 | + | 0.990649i | \(0.456435\pi\) | |||||||
\(440\) | −0.513428 | − | 1.53787i | −0.0244767 | − | 0.0733148i | ||||
\(441\) | 5.05320 | + | 4.24014i | 0.240629 | + | 0.201911i | ||||
\(442\) | −10.8662 | − | 3.35936i | −0.516854 | − | 0.159789i | ||||
\(443\) | −10.5778 | − | 1.86515i | −0.502567 | − | 0.0886161i | −0.0833832 | − | 0.996518i | \(-0.526573\pi\) |
−0.419184 | + | 0.907901i | \(0.637684\pi\) | |||||||
\(444\) | 0.698290 | − | 0.500688i | 0.0331394 | − | 0.0237616i | ||||
\(445\) | 8.69365 | − | 5.01928i | 0.412119 | − | 0.237937i | ||||
\(446\) | −7.99547 | + | 10.5415i | −0.378596 | + | 0.499156i | ||||
\(447\) | 0.691895 | − | 0.251829i | 0.0327255 | − | 0.0119111i | ||||
\(448\) | 16.5729 | − | 17.7250i | 0.782995 | − | 0.837428i | ||||
\(449\) | −12.5426 | − | 7.24145i | −0.591920 | − | 0.341745i | 0.173936 | − | 0.984757i | \(-0.444351\pi\) |
−0.765856 | + | 0.643012i | \(0.777685\pi\) | |||||||
\(450\) | −7.27903 | − | 17.2987i | −0.343137 | − | 0.815467i | ||||
\(451\) | 1.51108 | − | 1.26794i | 0.0711538 | − | 0.0597052i | ||||
\(452\) | 0.669051 | + | 1.39384i | 0.0314695 | + | 0.0655606i | ||||
\(453\) | −0.0533523 | − | 0.302576i | −0.00250671 | − | 0.0142163i | ||||
\(454\) | −38.6367 | + | 8.79270i | −1.81331 | + | 0.412662i | ||||
\(455\) | −3.57994 | −0.167830 | ||||||||
\(456\) | −0.374322 | − | 0.470539i | −0.0175292 | − | 0.0220350i | ||||
\(457\) | 1.91109 | 0.0893972 | 0.0446986 | − | 0.999001i | \(-0.485767\pi\) | ||||
0.0446986 | + | 0.999001i | \(0.485767\pi\) | |||||||
\(458\) | −29.2503 | + | 6.65659i | −1.36678 | + | 0.311042i | ||||
\(459\) | 0.261968 | + | 1.48570i | 0.0122276 | + | 0.0693464i | ||||
\(460\) | 1.15285 | + | 2.40174i | 0.0537521 | + | 0.111982i | ||||
\(461\) | −12.8228 | + | 10.7596i | −0.597218 | + | 0.501125i | −0.890550 | − | 0.454885i | \(-0.849680\pi\) |
0.293332 | + | 0.956011i | \(0.405236\pi\) | |||||||
\(462\) | −0.0614489 | − | 0.146034i | −0.00285886 | − | 0.00679411i | ||||
\(463\) | 23.6906 | + | 13.6778i | 1.10100 | + | 0.635660i | 0.936482 | − | 0.350715i | \(-0.114061\pi\) |
0.164513 | + | 0.986375i | \(0.447395\pi\) | |||||||
\(464\) | −1.98248 | − | 0.671702i | −0.0920344 | − | 0.0311830i | ||||
\(465\) | −0.249718 | + | 0.0908899i | −0.0115804 | + | 0.00421492i | ||||
\(466\) | −8.76363 | + | 11.5543i | −0.405967 | + | 0.535243i | ||||
\(467\) | −15.5831 | + | 8.99692i | −0.721101 | + | 0.416328i | −0.815158 | − | 0.579239i | \(-0.803350\pi\) |
0.0940567 | + | 0.995567i | \(0.470017\pi\) | |||||||
\(468\) | −7.59729 | + | 5.44742i | −0.351185 | + | 0.251807i | ||||
\(469\) | −28.1186 | − | 4.95806i | −1.29839 | − | 0.228942i | ||||
\(470\) | −10.8487 | − | 3.35395i | −0.500414 | − | 0.154706i | ||||
\(471\) | 0.0286226 | + | 0.0240172i | 0.00131886 | + | 0.00110665i | ||||
\(472\) | 22.2440 | − | 7.42632i | 1.02386 | − | 0.341824i | ||||
\(473\) | 7.11921 | + | 2.59118i | 0.327342 | + | 0.119143i | ||||
\(474\) | −0.877751 | + | 0.566120i | −0.0403165 | + | 0.0260028i | ||||
\(475\) | 6.58714 | − | 18.1382i | 0.302239 | − | 0.832240i | ||||
\(476\) | −28.5036 | − | 12.9050i | −1.30646 | − | 0.591502i | ||||
\(477\) | 8.35269 | − | 22.9488i | 0.382443 | − | 1.05075i | ||||
\(478\) | 4.30369 | − | 3.98815i | 0.196846 | − | 0.182414i | ||||
\(479\) | 18.4519 | − | 21.9901i | 0.843087 | − | 1.00475i | −0.156766 | − | 0.987636i | \(-0.550107\pi\) |
0.999853 | − | 0.0171167i | \(-0.00544868\pi\) | |||||||
\(480\) | 0.190607 | − | 0.0852758i | 0.00869997 | − | 0.00389229i | ||||
\(481\) | 2.38529 | − | 13.5277i | 0.108760 | − | 0.616808i | ||||
\(482\) | 10.4629 | − | 0.515504i | 0.476572 | − | 0.0234806i | ||||
\(483\) | 0.130169 | + | 0.225460i | 0.00592291 | + | 0.0102588i | ||||
\(484\) | −1.58482 | + | 20.7926i | −0.0720372 | + | 0.945118i | ||||
\(485\) | 1.32316 | + | 3.63536i | 0.0600817 | + | 0.165073i | ||||
\(486\) | 1.65482 | + | 0.849709i | 0.0750643 | + | 0.0385436i | ||||
\(487\) | −14.1294 | + | 24.4728i | −0.640263 | + | 1.10897i | 0.345111 | + | 0.938562i | \(0.387841\pi\) |
−0.985374 | + | 0.170406i | \(0.945492\pi\) | |||||||
\(488\) | 10.4711 | + | 0.281148i | 0.474005 | + | 0.0127270i | ||||
\(489\) | −0.395703 | − | 0.471580i | −0.0178943 | − | 0.0213256i | ||||
\(490\) | −2.33705 | − | 0.294382i | −0.105577 | − | 0.0132988i | ||||
\(491\) | 3.11289 | − | 0.548887i | 0.140483 | − | 0.0247709i | −0.102964 | − | 0.994685i | \(-0.532833\pi\) |
0.243447 | + | 0.969914i | \(0.421722\pi\) | |||||||
\(492\) | 0.181642 | + | 0.177621i | 0.00818907 | + | 0.00800777i | ||||
\(493\) | 2.69899i | 0.121556i | ||||||||
\(494\) | −9.53772 | − | 1.19449i | −0.429122 | − | 0.0537427i | ||||
\(495\) | 1.71829i | 0.0772315i | ||||||||
\(496\) | −10.4523 | − | 26.8327i | −0.469321 | − | 1.20482i | ||||
\(497\) | 26.9125 | − | 4.74539i | 1.20719 | − | 0.212860i | ||||
\(498\) | −0.106115 | + | 0.842430i | −0.00475513 | + | 0.0377502i | ||||
\(499\) | 13.2403 | + | 15.7791i | 0.592715 | + | 0.706371i | 0.976125 | − | 0.217207i | \(-0.0696948\pi\) |
−0.383410 | + | 0.923578i | \(0.625250\pi\) | |||||||
\(500\) | 11.7807 | + | 8.05397i | 0.526851 | + | 0.360185i | ||||
\(501\) | −0.323496 | + | 0.560311i | −0.0144527 | + | 0.0250329i | ||||
\(502\) | −5.09298 | + | 9.91865i | −0.227311 | + | 0.442691i | ||||
\(503\) | −6.36560 | − | 17.4893i | −0.283828 | − | 0.779811i | −0.996897 | − | 0.0787173i | \(-0.974918\pi\) |
0.713069 | − | 0.701094i | \(-0.247305\pi\) | |||||||
\(504\) | −22.6091 | + | 12.2563i | −1.00709 | + | 0.545941i | ||||
\(505\) | −3.00895 | − | 5.21165i | −0.133896 | − | 0.231915i | ||||
\(506\) | 0.0927549 | + | 1.88260i | 0.00412346 | + | 0.0836916i | ||||
\(507\) | −0.0895019 | + | 0.507591i | −0.00397492 | + | 0.0225429i | ||||
\(508\) | −1.86087 | − | 6.64639i | −0.0825630 | − | 0.294886i | ||||
\(509\) | −20.1592 | + | 24.0248i | −0.893543 | + | 1.06488i | 0.103983 | + | 0.994579i | \(0.466841\pi\) |
−0.997526 | + | 0.0703037i | \(0.977603\pi\) | |||||||
\(510\) | −0.183009 | − | 0.197489i | −0.00810377 | − | 0.00874494i | ||||
\(511\) | 10.1551 | − | 27.9009i | 0.449236 | − | 1.23427i | ||||
\(512\) | 9.70068 | + | 20.4425i | 0.428714 | + | 0.903440i | ||||
\(513\) | 0.436922 | + | 1.19777i | 0.0192906 | + | 0.0528831i | ||||
\(514\) | 6.44330 | + | 9.99013i | 0.284202 | + | 0.440646i | ||||
\(515\) | −4.62225 | − | 1.68236i | −0.203681 | − | 0.0741336i | ||||
\(516\) | −0.241977 | + | 0.945270i | −0.0106525 | + | 0.0416132i | ||||
\(517\) | −6.15442 | − | 5.16417i | −0.270671 | − | 0.227120i | ||||
\(518\) | 11.1614 | − | 36.1027i | 0.490404 | − | 1.58626i | ||||
\(519\) | −0.546836 | − | 0.0964220i | −0.0240034 | − | 0.00423246i | ||||
\(520\) | 1.22552 | − | 3.10511i | 0.0537425 | − | 0.136168i | ||||
\(521\) | 0.219847 | − | 0.126929i | 0.00963168 | − | 0.00556085i | −0.495176 | − | 0.868792i | \(-0.664897\pi\) |
0.504808 | + | 0.863232i | \(0.331563\pi\) | |||||||
\(522\) | 1.76750 | + | 1.34060i | 0.0773615 | + | 0.0586766i | ||||
\(523\) | −16.5515 | + | 6.02425i | −0.723746 | + | 0.263422i | −0.677515 | − | 0.735509i | \(-0.736943\pi\) |
−0.0462307 | + | 0.998931i | \(0.514721\pi\) | |||||||
\(524\) | 2.93804 | + | 29.7436i | 0.128349 | + | 1.29935i | ||||
\(525\) | 0.567159 | + | 0.327449i | 0.0247528 | + | 0.0142911i | ||||
\(526\) | 30.2540 | − | 12.7304i | 1.31914 | − | 0.555073i | ||||
\(527\) | −28.4438 | + | 23.8672i | −1.23903 | + | 1.03967i | ||||
\(528\) | 0.147700 | − | 0.00330703i | 0.00642783 | − | 0.000143920i | ||||
\(529\) | 3.45608 | + | 19.6004i | 0.150265 | + | 0.852193i | ||||
\(530\) | 1.93511 | + | 8.50324i | 0.0840560 | + | 0.369357i | ||||
\(531\) | −24.8537 | −1.07856 | ||||||||
\(532\) | −25.6219 | − | 6.53941i | −1.11085 | − | 0.283520i | ||||
\(533\) | 4.06145 | 0.175921 | ||||||||
\(534\) | 0.202980 | + | 0.891933i | 0.00878382 | + | 0.0385977i | ||||
\(535\) | −1.75447 | − | 9.95007i | −0.0758522 | − | 0.430179i | ||||
\(536\) | 13.9263 | − | 22.6918i | 0.601522 | − | 0.980135i | ||||
\(537\) | 0.265724 | − | 0.222969i | 0.0114668 | − | 0.00962181i | ||||
\(538\) | 29.9325 | − | 12.5952i | 1.29048 | − | 0.543016i | ||||
\(539\) | −1.44328 | − | 0.833278i | −0.0621664 | − | 0.0358918i | ||||
\(540\) | −0.440639 | + | 0.0435259i | −0.0189621 | + | 0.00187306i | ||||
\(541\) | 17.7401 | − | 6.45689i | 0.762709 | − | 0.277603i | 0.0687653 | − | 0.997633i | \(-0.478094\pi\) |
0.693943 | + | 0.720030i | \(0.255872\pi\) | |||||||
\(542\) | −2.88489 | − | 2.18811i | −0.123917 | − | 0.0939875i | ||||
\(543\) | −0.424735 | + | 0.245221i | −0.0182271 | + | 0.0105234i | ||||
\(544\) | 20.9510 | − | 20.3053i | 0.898267 | − | 0.870582i | ||||
\(545\) | 8.94110 | + | 1.57656i | 0.382994 | + | 0.0675323i | ||||
\(546\) | 0.0963513 | − | 0.311659i | 0.00412346 | − | 0.0133378i | ||||
\(547\) | 2.04894 | + | 1.71927i | 0.0876065 | + | 0.0735106i | 0.685539 | − | 0.728036i | \(-0.259567\pi\) |
−0.597933 | + | 0.801546i | \(0.704011\pi\) | |||||||
\(548\) | −10.2290 | − | 2.61849i | −0.436959 | − | 0.111856i | ||||
\(549\) | −10.4320 | − | 3.79693i | −0.445226 | − | 0.162049i | ||||
\(550\) | 2.56997 | + | 3.98465i | 0.109584 | + | 0.169906i | ||||
\(551\) | 0.397692 | + | 2.24606i | 0.0169423 | + | 0.0956853i | ||||
\(552\) | −0.240117 | + | 0.0357228i | −0.0102200 | + | 0.00152046i | ||||
\(553\) | −15.7108 | + | 43.1650i | −0.668091 | + | 1.83556i | ||||
\(554\) | −0.974092 | − | 1.05116i | −0.0413852 | − | 0.0446597i | ||||
\(555\) | 0.209021 | − | 0.249101i | 0.00887244 | − | 0.0105738i | ||||
\(556\) | 3.97341 | − | 1.11249i | 0.168510 | − | 0.0471799i | ||||
\(557\) | 1.36362 | − | 7.73347i | 0.0577784 | − | 0.327678i | −0.942194 | − | 0.335067i | \(-0.891241\pi\) |
0.999973 | + | 0.00738933i | \(0.00235212\pi\) | |||||||
\(558\) | 1.50185 | + | 30.4822i | 0.0635782 | + | 1.29041i | ||||
\(559\) | 7.79945 | + | 13.5090i | 0.329882 | + | 0.571372i | ||||
\(560\) | 4.41253 | − | 8.05385i | 0.186463 | − | 0.340337i | ||||
\(561\) | −0.0651531 | − | 0.179007i | −0.00275077 | − | 0.00755767i | ||||
\(562\) | 0.963629 | − | 1.87668i | 0.0406482 | − | 0.0791631i | ||||
\(563\) | 9.25757 | − | 16.0346i | 0.390160 | − | 0.675777i | −0.602310 | − | 0.798262i | \(-0.705753\pi\) |
0.992470 | + | 0.122485i | \(0.0390864\pi\) | |||||||
\(564\) | 0.583970 | − | 0.854188i | 0.0245896 | − | 0.0359678i | ||||
\(565\) | 0.376106 | + | 0.448225i | 0.0158229 | + | 0.0188570i | ||||
\(566\) | 0.320848 | − | 2.54716i | 0.0134863 | − | 0.107065i | ||||
\(567\) | 26.8205 | − | 4.72918i | 1.12636 | − | 0.198607i | ||||
\(568\) | −5.09693 | + | 24.9674i | −0.213862 | + | 1.04761i | ||||
\(569\) | − | 42.7241i | − | 1.79109i | −0.444972 | − | 0.895544i | \(-0.646786\pi\) | ||
0.444972 | − | 0.895544i | \(-0.353214\pi\) | |||||||
\(570\) | −0.181397 | − | 0.137381i | −0.00759789 | − | 0.00575426i | ||||
\(571\) | − | 32.7962i | − | 1.37248i | −0.727376 | − | 0.686239i | \(-0.759260\pi\) | ||
0.727376 | − | 0.686239i | \(-0.240740\pi\) | |||||||
\(572\) | 1.65126 | − | 1.68864i | 0.0690426 | − | 0.0706058i | ||||
\(573\) | 0.415408 | − | 0.0732477i | 0.0173539 | − | 0.00305997i | ||||
\(574\) | 11.0854 | + | 1.39636i | 0.462697 | + | 0.0582827i | ||||
\(575\) | −5.00809 | − | 5.96841i | −0.208852 | − | 0.248900i | ||||
\(576\) | −2.89096 | − | 23.8061i | −0.120457 | − | 0.991920i | ||||
\(577\) | −11.0125 | + | 19.0742i | −0.458457 | + | 0.794071i | −0.998880 | − | 0.0473226i | \(-0.984931\pi\) |
0.540422 | + | 0.841394i | \(0.318264\pi\) | |||||||
\(578\) | −12.0793 | − | 6.20239i | −0.502431 | − | 0.257986i | ||||
\(579\) | −0.241279 | − | 0.662910i | −0.0100272 | − | 0.0275496i | ||||
\(580\) | −0.789870 | − | 0.0602042i | −0.0327976 | − | 0.00249984i | ||||
\(581\) | 18.6710 | + | 32.3392i | 0.774605 | + | 1.34165i | ||||
\(582\) | −0.352095 | + | 0.0173476i | −0.0145948 | + | 0.000719081i | ||||
\(583\) | −1.07140 | + | 6.07622i | −0.0443729 | + | 0.251651i | ||||
\(584\) | 20.7239 | + | 18.3595i | 0.857562 | + | 0.759721i | ||||
\(585\) | −2.27412 | + | 2.71019i | −0.0940231 | + | 0.112052i | ||||
\(586\) | 26.8320 | − | 24.8647i | 1.10842 | − | 1.02715i | ||||
\(587\) | 13.7736 | − | 37.8426i | 0.568497 | − | 1.56193i | −0.238354 | − | 0.971178i | \(-0.576608\pi\) |
0.806851 | − | 0.590754i | \(-0.201170\pi\) | |||||||
\(588\) | 0.0885280 | − | 0.195534i | 0.00365083 | − | 0.00806367i | ||||
\(589\) | −20.1538 | + | 24.0531i | −0.830421 | + | 0.991092i | ||||
\(590\) | 7.45825 | − | 4.81032i | 0.307051 | − | 0.198038i | ||||
\(591\) | 0.104810 | + | 0.0381476i | 0.00431130 | + | 0.00156918i | ||||
\(592\) | 27.4934 | + | 22.0400i | 1.12997 | + | 0.905839i | ||||
\(593\) | 26.7671 | + | 22.4603i | 1.09919 | + | 0.922332i | 0.997371 | − | 0.0724705i | \(-0.0230883\pi\) |
0.101822 | + | 0.994803i | \(0.467533\pi\) | |||||||
\(594\) | −0.299297 | − | 0.0925297i | −0.0122803 | − | 0.00379654i | ||||
\(595\) | −11.6613 | − | 2.05621i | −0.478068 | − | 0.0842963i | ||||
\(596\) | 17.5950 | + | 24.5391i | 0.720720 | + | 1.00516i | ||||
\(597\) | −0.349835 | + | 0.201977i | −0.0143178 | + | 0.00826639i | ||||
\(598\) | −2.34527 | + | 3.09209i | −0.0959053 | + | 0.126445i | ||||
\(599\) | 30.0126 | − | 10.9237i | 1.22628 | − | 0.446331i | 0.353960 | − | 0.935261i | \(-0.384835\pi\) |
0.872323 | + | 0.488930i | \(0.162613\pi\) | |||||||
\(600\) | −0.478173 | + | 0.379838i | −0.0195213 | + | 0.0155068i | ||||
\(601\) | −30.8953 | − | 17.8374i | −1.26024 | − | 0.727602i | −0.287122 | − | 0.957894i | \(-0.592699\pi\) |
−0.973122 | + | 0.230292i | \(0.926032\pi\) | |||||||
\(602\) | 16.6436 | + | 39.5535i | 0.678341 | + | 1.61208i | ||||
\(603\) | −21.6155 | + | 18.1375i | −0.880251 | + | 0.738618i | ||||
\(604\) | 11.3591 | − | 5.45242i | 0.462193 | − | 0.221856i | ||||
\(605\) | 1.37039 | + | 7.77185i | 0.0557142 | + | 0.315971i | ||||
\(606\) | 0.534693 | − | 0.121682i | 0.0217204 | − | 0.00494300i | ||||
\(607\) | −15.1801 | −0.616142 | −0.308071 | − | 0.951363i | \(-0.599683\pi\) | ||||
−0.308071 | + | 0.951363i | \(0.599683\pi\) | |||||||
\(608\) | 14.4432 | − | 19.9849i | 0.585748 | − | 0.810493i | ||||
\(609\) | −0.0774107 | −0.00313684 | ||||||||
\(610\) | 3.86537 | − | 0.879656i | 0.156504 | − | 0.0356162i | ||||
\(611\) | −2.87244 | − | 16.2904i | −0.116207 | − | 0.659040i | ||||
\(612\) | −27.8763 | + | 13.3808i | −1.12683 | + | 0.540888i | ||||
\(613\) | −25.6192 | + | 21.4971i | −1.03475 | + | 0.868260i | −0.991409 | − | 0.130801i | \(-0.958245\pi\) |
−0.0433427 | + | 0.999060i | \(0.513801\pi\) | |||||||
\(614\) | −1.10817 | − | 2.63358i | −0.0447222 | − | 0.106283i | ||||
\(615\) | 0.0832649 | + | 0.0480730i | 0.00335757 | + | 0.00193849i | ||||
\(616\) | 5.08756 | − | 4.04132i | 0.204984 | − | 0.162830i | ||||
\(617\) | −12.4136 | + | 4.51818i | −0.499752 | + | 0.181895i | −0.579583 | − | 0.814914i | \(-0.696784\pi\) |
0.0798303 | + | 0.996808i | \(0.474562\pi\) | |||||||
\(618\) | 0.270865 | − | 0.357119i | 0.0108958 | − | 0.0143654i | ||||
\(619\) | −26.2189 | + | 15.1375i | −1.05383 | + | 0.608427i | −0.923718 | − | 0.383072i | \(-0.874866\pi\) |
−0.130109 | + | 0.991500i | \(0.541533\pi\) | |||||||
\(620\) | −6.35037 | − | 8.85661i | −0.255037 | − | 0.355690i | ||||
\(621\) | 0.506946 | + | 0.0893883i | 0.0203430 | + | 0.00358703i | ||||
\(622\) | 37.2324 | + | 11.5106i | 1.49288 | + | 0.461534i | ||||
\(623\) | 30.8174 | + | 25.8589i | 1.23467 | + | 1.03602i | ||||
\(624\) | 0.237338 | + | 0.190262i | 0.00950112 | + | 0.00761656i | ||||
\(625\) | −15.7256 | − | 5.72365i | −0.629024 | − | 0.228946i | ||||
\(626\) | 19.3332 | − | 12.4693i | 0.772709 | − | 0.498372i | ||||
\(627\) | −0.0805960 | − | 0.139367i | −0.00321869 | − | 0.00556577i | ||||
\(628\) | −0.631986 | + | 1.39588i | −0.0252190 | + | 0.0557017i | ||||
\(629\) | 15.5398 | − | 42.6951i | 0.619611 | − | 1.70237i | ||||
\(630\) | −7.13882 | + | 6.61541i | −0.284418 | + | 0.263564i | ||||
\(631\) | 5.39835 | − | 6.43350i | 0.214905 | − | 0.256114i | −0.647813 | − | 0.761800i | \(-0.724316\pi\) |
0.862718 | + | 0.505686i | \(0.168761\pi\) | |||||||
\(632\) | −32.0616 | − | 28.4036i | −1.27534 | − | 1.12984i | ||||
\(633\) | 0.117187 | − | 0.664601i | 0.00465777 | − | 0.0264155i | ||||
\(634\) | 4.47962 | − | 0.220709i | 0.177908 | − | 0.00876548i | ||||
\(635\) | −1.30602 | − | 2.26210i | −0.0518279 | − | 0.0897686i | ||||
\(636\) | −0.792348 | − | 0.0603931i | −0.0314187 | − | 0.00239474i | ||||
\(637\) | −1.17360 | − | 3.22443i | −0.0464996 | − | 0.127757i | ||||
\(638\) | −0.498577 | − | 0.256006i | −0.0197388 | − | 0.0101354i | ||||
\(639\) | 13.5033 | − | 23.3885i | 0.534184 | − | 0.925234i | ||||
\(640\) | 5.47509 | + | 6.58434i | 0.216422 | + | 0.260269i | ||||
\(641\) | 8.67553 | + | 10.3391i | 0.342663 | + | 0.408370i | 0.909662 | − | 0.415348i | \(-0.136340\pi\) |
−0.567000 | + | 0.823718i | \(0.691896\pi\) | |||||||
\(642\) | 0.913443 | + | 0.115060i | 0.0360507 | + | 0.00454106i | ||||
\(643\) | −32.2342 | + | 5.68376i | −1.27119 | + | 0.224146i | −0.768237 | − | 0.640166i | \(-0.778866\pi\) |
−0.502957 | + | 0.864312i | \(0.667754\pi\) | |||||||
\(644\) | −7.46434 | + | 7.63334i | −0.294136 | + | 0.300796i | ||||
\(645\) | 0.369271i | 0.0145400i | ||||||||
\(646\) | −30.3822 | − | 9.36912i | −1.19537 | − | 0.368623i | ||||
\(647\) | 27.0952i | 1.06522i | 0.846360 | + | 0.532611i | \(0.178789\pi\) | ||||
−0.846360 | + | 0.532611i | \(0.821211\pi\) | |||||||
\(648\) | −5.07952 | + | 24.8821i | −0.199542 | + | 0.977462i | ||||
\(649\) | 6.18372 | − | 1.09036i | 0.242732 | − | 0.0428002i | ||||
\(650\) | −1.22009 | + | 9.68610i | −0.0478559 | + | 0.379920i | ||||
\(651\) | −0.684546 | − | 0.815810i | −0.0268295 | − | 0.0319741i | ||||
\(652\) | 14.2479 | − | 20.8408i | 0.557991 | − | 0.816187i | ||||
\(653\) | 17.7481 | − | 30.7407i | 0.694539 | − | 1.20298i | −0.275797 | − | 0.961216i | \(-0.588942\pi\) |
0.970336 | − | 0.241760i | \(-0.0777248\pi\) | |||||||
\(654\) | −0.377893 | + | 0.735953i | −0.0147768 | + | 0.0287780i | ||||
\(655\) | 3.86865 | + | 10.6290i | 0.151161 | + | 0.415311i | ||||
\(656\) | −5.00602 | + | 9.13711i | −0.195452 | + | 0.356744i | ||||
\(657\) | −14.6714 | − | 25.4117i | −0.572387 | − | 0.991403i | ||||
\(658\) | −2.23936 | − | 45.4512i | −0.0872994 | − | 1.77187i | ||||
\(659\) | −2.56553 | + | 14.5498i | −0.0999388 | + | 0.566781i | 0.893183 | + | 0.449694i | \(0.148467\pi\) |
−0.993122 | + | 0.117087i | \(0.962644\pi\) | |||||||
\(660\) | 0.0538405 | − | 0.0150744i | 0.00209574 | − | 0.000586770i | ||||
\(661\) | −16.8005 | + | 20.0220i | −0.653462 | + | 0.778766i | −0.986432 | − | 0.164172i | \(-0.947505\pi\) |
0.332970 | + | 0.942938i | \(0.391949\pi\) | |||||||
\(662\) | 1.63802 | + | 1.76762i | 0.0636633 | + | 0.0687004i | ||||
\(663\) | 0.134148 | − | 0.368568i | 0.00520987 | − | 0.0143140i | ||||
\(664\) | −34.4415 | + | 5.12395i | −1.33659 | + | 0.198848i | ||||
\(665\) | −10.0074 | + | 0.00713711i | −0.388070 | + | 0.000276765i | ||||
\(666\) | −20.2413 | − | 31.3836i | −0.784336 | − | 1.21609i | ||||
\(667\) | 0.865402 | + | 0.314981i | 0.0335085 | + | 0.0121961i | ||||
\(668\) | −25.7039 | − | 6.57989i | −0.994515 | − | 0.254584i | ||||
\(669\) | −0.349517 | − | 0.293280i | −0.0135131 | − | 0.0113388i | ||||
\(670\) | 2.97607 | − | 9.62640i | 0.114975 | − | 0.371900i | ||||
\(671\) | 2.76210 | + | 0.487033i | 0.106630 | + | 0.0188017i | ||||
\(672\) | 0.582384 | + | 0.600904i | 0.0224660 | + | 0.0231804i | ||||
\(673\) | −8.55734 | + | 4.94058i | −0.329861 | + | 0.190446i | −0.655780 | − | 0.754952i | \(-0.727660\pi\) |
0.325918 | + | 0.945398i | \(0.394327\pi\) | |||||||
\(674\) | 13.4815 | + | 10.2254i | 0.519289 | + | 0.393867i | ||||
\(675\) | 1.21683 | − | 0.442891i | 0.0468360 | − | 0.0170469i | ||||
\(676\) | −21.0347 | + | 2.07779i | −0.809029 | + | 0.0799151i | ||||
\(677\) | −10.8961 | − | 6.29088i | −0.418772 | − | 0.241778i | 0.275780 | − | 0.961221i | \(-0.411064\pi\) |
−0.694552 | + | 0.719443i | \(0.744397\pi\) | |||||||
\(678\) | −0.0491437 | + | 0.0206790i | −0.00188735 | + | 0.000794172i | ||||
\(679\) | −11.8764 | + | 9.96552i | −0.455776 | + | 0.382442i | ||||
\(680\) | 5.77550 | − | 9.41074i | 0.221480 | − | 0.360885i | ||||
\(681\) | −0.237283 | − | 1.34570i | −0.00909270 | − | 0.0515673i | ||||
\(682\) | −1.71095 | − | 7.51823i | −0.0655157 | − | 0.287888i | ||||
\(683\) | −40.5886 | −1.55308 | −0.776540 | − | 0.630068i | \(-0.783027\pi\) | ||||
−0.776540 | + | 0.630068i | \(0.783027\pi\) | |||||||
\(684\) | −21.2266 | + | 15.2429i | −0.811621 | + | 0.582826i | ||||
\(685\) | −3.99595 | −0.152678 | ||||||||
\(686\) | 4.56846 | + | 20.0746i | 0.174424 | + | 0.766453i | ||||
\(687\) | −0.179637 | − | 1.01877i | −0.00685358 | − | 0.0388686i | ||||
\(688\) | −40.0049 | + | 0.895715i | −1.52517 | + | 0.0341488i | ||||
\(689\) | −9.73159 | + | 8.16577i | −0.370744 | + | 0.311091i | ||||
\(690\) | −0.0846805 | + | 0.0356323i | −0.00322373 | + | 0.00135650i | ||||
\(691\) | −20.0557 | − | 11.5792i | −0.762956 | − | 0.440493i | 0.0674004 | − | 0.997726i | \(-0.478530\pi\) |
−0.830356 | + | 0.557233i | \(0.811863\pi\) | |||||||
\(692\) | −2.23844 | − | 22.6611i | −0.0850928 | − | 0.861446i | ||||
\(693\) | −6.47074 | + | 2.35516i | −0.245803 | + | 0.0894650i | ||||
\(694\) | −6.12251 | − | 4.64376i | −0.232407 | − | 0.176275i | ||||
\(695\) | 1.35235 | − | 0.780778i | 0.0512975 | − | 0.0296166i | ||||
\(696\) | 0.0264999 | − | 0.0671433i | 0.00100448 | − | 0.00254506i | ||||
\(697\) | 13.2298 | + | 2.33277i | 0.501115 | + | 0.0883600i | ||||
\(698\) | 2.99303 | − | 9.68127i | 0.113288 | − | 0.366441i | ||||
\(699\) | −0.383096 | − | 0.321456i | −0.0144900 | − | 0.0121586i | ||||
\(700\) | −6.66030 | + | 26.0181i | −0.251736 | + | 0.983390i | ||||
\(701\) | 30.4371 | + | 11.0782i | 1.14959 | + | 0.418418i | 0.845369 | − | 0.534183i | \(-0.179381\pi\) |
0.304224 | + | 0.952601i | \(0.401603\pi\) | |||||||
\(702\) | −0.349608 | − | 0.542055i | −0.0131951 | − | 0.0204586i | ||||
\(703\) | 6.64089 | − | 37.8200i | 0.250466 | − | 1.42641i | ||||
\(704\) | 1.76368 | + | 5.79624i | 0.0664712 | + | 0.218454i | ||||
\(705\) | 0.133932 | − | 0.367974i | 0.00504416 | − | 0.0138587i | ||||
\(706\) | 23.9017 | + | 25.7928i | 0.899552 | + | 0.970725i | ||||
\(707\) | 15.5018 | − | 18.4744i | 0.583006 | − | 0.694800i | ||||
\(708\) | 0.218039 | + | 0.778758i | 0.00819440 | + | 0.0292675i | ||||
\(709\) | 7.62702 | − | 43.2550i | 0.286439 | − | 1.62448i | −0.413661 | − | 0.910431i | \(-0.635750\pi\) |
0.700100 | − | 0.714045i | \(-0.253139\pi\) | |||||||
\(710\) | 0.474568 | + | 9.63206i | 0.0178102 | + | 0.361485i | ||||
\(711\) | 22.6979 | + | 39.3139i | 0.851238 | + | 1.47439i | ||||
\(712\) | −32.9788 | + | 17.8777i | −1.23593 | + | 0.669996i | ||||
\(713\) | 4.33329 | + | 11.9056i | 0.162283 | + | 0.445869i | ||||
\(714\) | 0.492863 | − | 0.959859i | 0.0184449 | − | 0.0359218i | ||||
\(715\) | 0.446912 | − | 0.774075i | 0.0167136 | − | 0.0289488i | ||||
\(716\) | 11.7432 | + | 8.02833i | 0.438866 | + | 0.300033i | ||||
\(717\) | 0.130062 | + | 0.155001i | 0.00485724 | + | 0.00578863i | ||||
\(718\) | 1.47088 | − | 11.6771i | 0.0548928 | − | 0.435785i | ||||
\(719\) | 12.5454 | − | 2.21209i | 0.467864 | − | 0.0824971i | 0.0652543 | − | 0.997869i | \(-0.479214\pi\) |
0.402610 | + | 0.915372i | \(0.368103\pi\) | |||||||
\(720\) | −3.29414 | − | 8.45661i | −0.122766 | − | 0.315159i | ||||
\(721\) | − | 19.7123i | − | 0.734126i | ||||||
\(722\) | −26.6642 | − | 3.32007i | −0.992337 | − | 0.123560i | ||||
\(723\) | 0.361252i | 0.0134351i | ||||||||
\(724\) | −14.3801 | − | 14.0618i | −0.534434 | − | 0.522602i | ||||
\(725\) | 2.28149 | − | 0.402289i | 0.0847325 | − | 0.0149406i | ||||
\(726\) | −0.713477 | − | 0.0898717i | −0.0264796 | − | 0.00333545i | ||||
\(727\) | 14.5133 | + | 17.2962i | 0.538267 | + | 0.641481i | 0.964798 | − | 0.262991i | \(-0.0847091\pi\) |
−0.426531 | + | 0.904473i | \(0.640265\pi\) | |||||||
\(728\) | 13.3730 | + | 0.359063i | 0.495635 | + | 0.0133078i | ||||
\(729\) | 13.4358 | − | 23.2715i | 0.497623 | − | 0.861909i | ||||
\(730\) | 9.32100 | + | 4.78610i | 0.344986 | + | 0.177141i | ||||
\(731\) | 17.6468 | + | 48.4843i | 0.652692 | + | 1.79326i | ||||
\(732\) | −0.0274532 | + | 0.360182i | −0.00101470 | + | 0.0133127i | ||||
\(733\) | 13.0679 | + | 22.6343i | 0.482675 | + | 0.836017i | 0.999802 | − | 0.0198913i | \(-0.00633202\pi\) |
−0.517127 | + | 0.855908i | \(0.672999\pi\) | |||||||
\(734\) | 8.30963 | − | 0.409412i | 0.306714 | − | 0.0151117i | ||||
\(735\) | 0.0141055 | − | 0.0799963i | 0.000520289 | − | 0.00295071i | ||||
\(736\) | −4.06563 | − | 9.08742i | −0.149861 | − | 0.334967i | ||||
\(737\) | 4.58232 | − | 5.46100i | 0.168792 | − | 0.201159i | ||||
\(738\) | 8.09900 | − | 7.50519i | 0.298128 | − | 0.276270i | ||||
\(739\) | 13.7325 | − | 37.7299i | 0.505160 | − | 1.38792i | −0.381017 | − | 0.924568i | \(-0.624426\pi\) |
0.886177 | − | 0.463347i | \(-0.153352\pi\) | |||||||
\(740\) | 12.1483 | + | 5.50015i | 0.446580 | + | 0.202189i | ||||
\(741\) | 0.0573278 | − | 0.326483i | 0.00210599 | − | 0.0119937i | ||||
\(742\) | −29.3691 | + | 18.9421i | −1.07818 | + | 0.695387i | ||||
\(743\) | −19.0012 | − | 6.91587i | −0.697086 | − | 0.253719i | −0.0309197 | − | 0.999522i | \(-0.509844\pi\) |
−0.666166 | + | 0.745803i | \(0.732066\pi\) | |||||||
\(744\) | 0.941944 | − | 0.314475i | 0.0345334 | − | 0.0115292i | ||||
\(745\) | 8.75383 | + | 7.34534i | 0.320716 | + | 0.269112i | ||||
\(746\) | −28.5137 | − | 8.81520i | −1.04396 | − | 0.322747i | ||||
\(747\) | 36.3428 | + | 6.40822i | 1.32972 | + | 0.234465i | ||||
\(748\) | 6.34873 | − | 4.55218i | 0.232133 | − | 0.166444i | ||||
\(749\) | 35.0652 | − | 20.2449i | 1.28126 | − | 0.739733i | ||||
\(750\) | −0.297398 | + | 0.392100i | −0.0108594 | + | 0.0143175i | ||||
\(751\) | −30.8187 | + | 11.2171i | −1.12459 | + | 0.409318i | −0.836326 | − | 0.548233i | \(-0.815301\pi\) |
−0.288265 | + | 0.957551i | \(0.593078\pi\) | |||||||
\(752\) | 40.1893 | + | 13.6169i | 1.46555 | + | 0.496558i | ||||
\(753\) | −0.332988 | − | 0.192251i | −0.0121348 | − | 0.00700602i | ||||
\(754\) | −0.447565 | − | 1.06364i | −0.0162993 | − | 0.0387355i | ||||
\(755\) | 3.65281 | − | 3.06507i | 0.132939 | − | 0.111549i | ||||
\(756\) | −0.767867 | − | 1.59970i | −0.0279271 | − | 0.0581805i | ||||
\(757\) | −0.0728195 | − | 0.412980i | −0.00264667 | − | 0.0150100i | 0.983456 | − | 0.181148i | \(-0.0579814\pi\) |
−0.986102 | + | 0.166138i | \(0.946870\pi\) | |||||||
\(758\) | 16.5707 | − | 3.77105i | 0.601874 | − | 0.136971i | ||||
\(759\) | −0.0650003 | −0.00235936 | ||||||||
\(760\) | 3.41963 | − | 8.68250i | 0.124043 | − | 0.314947i | ||||
\(761\) | −5.25859 | −0.190624 | −0.0953119 | − | 0.995447i | \(-0.530385\pi\) | ||||
−0.0953119 | + | 0.995447i | \(0.530385\pi\) | |||||||
\(762\) | 0.232082 | − | 0.0528157i | 0.00840744 | − | 0.00191331i | ||||
\(763\) | 6.31801 | + | 35.8312i | 0.228727 | + | 1.29718i | ||||
\(764\) | 7.48567 | + | 15.5949i | 0.270822 | + | 0.564204i | ||||
\(765\) | −8.96438 | + | 7.52201i | −0.324108 | + | 0.271959i | ||||
\(766\) | 9.70553 | + | 23.0653i | 0.350675 | + | 0.833381i | ||||
\(767\) | 11.1964 | + | 6.46422i | 0.404277 | + | 0.233410i | ||||
\(768\) | −0.720570 | + | 0.299432i | −0.0260013 | + | 0.0108048i | ||||
\(769\) | 0.0384186 | − | 0.0139832i | 0.00138541 | − | 0.000504249i | −0.341327 | − | 0.939944i | \(-0.610876\pi\) |
0.342713 | + | 0.939440i | \(0.388654\pi\) | |||||||
\(770\) | 1.48595 | − | 1.95913i | 0.0535499 | − | 0.0706022i | ||||
\(771\) | −0.355027 | + | 0.204975i | −0.0127860 | + | 0.00738200i | ||||
\(772\) | 23.5110 | − | 16.8579i | 0.846181 | − | 0.606730i | ||||
\(773\) | 25.9276 | + | 4.57173i | 0.932550 | + | 0.164434i | 0.619226 | − | 0.785213i | \(-0.287446\pi\) |
0.313324 | + | 0.949646i | \(0.398558\pi\) | |||||||
\(774\) | 40.5165 | + | 12.5260i | 1.45634 | + | 0.450236i | ||||
\(775\) | 24.4149 | + | 20.4865i | 0.877009 | + | 0.735898i | ||||
\(776\) | −4.57809 | − | 13.7127i | −0.164344 | − | 0.492257i | ||||
\(777\) | 1.22456 | + | 0.445702i | 0.0439307 | + | 0.0159895i | ||||
\(778\) | −28.2356 | + | 18.2110i | −1.01229 | + | 0.652896i | ||||
\(779\) | 11.3534 | − | 0.00809706i | 0.406777 | − | 0.000290107i | ||||
\(780\) | 0.104871 | + | 0.0474803i | 0.00375497 | + | 0.00170007i | ||||
\(781\) | −2.33362 | + | 6.41157i | −0.0835035 | + | 0.229424i | ||||
\(782\) | −9.41552 | + | 8.72517i | −0.336698 | + | 0.312012i | ||||
\(783\) | −0.0983876 | + | 0.117254i | −0.00351609 | + | 0.00419031i | ||||
\(784\) | 8.70061 | + | 1.33408i | 0.310736 | + | 0.0476456i | ||||
\(785\) | −0.100697 | + | 0.571079i | −0.00359402 | + | 0.0203827i | ||||
\(786\) | −1.02945 | + | 0.0507208i | −0.0367194 | + | 0.00180915i | ||||
\(787\) | −19.4995 | − | 33.7741i | −0.695081 | − | 1.20392i | −0.970153 | − | 0.242492i | \(-0.922035\pi\) |
0.275072 | − | 0.961423i | \(-0.411298\pi\) | |||||||
\(788\) | −0.347626 | + | 4.56080i | −0.0123837 | + | 0.162472i | ||||
\(789\) | 0.387137 | + | 1.06365i | 0.0137824 | + | 0.0378670i | ||||
\(790\) | −14.4204 | − | 7.40448i | −0.513053 | − | 0.263440i | ||||
\(791\) | −1.17242 | + | 2.03069i | −0.0416865 | + | 0.0722031i | ||||
\(792\) | 0.172342 | − | 6.41873i | 0.00612392 | − | 0.228080i | ||||
\(793\) | 3.71196 | + | 4.42374i | 0.131816 | + | 0.157092i | ||||
\(794\) | −38.8952 | − | 4.89936i | −1.38034 | − | 0.173872i | ||||
\(795\) | −0.296164 | + | 0.0522217i | −0.0105038 | + | 0.00185211i | ||||
\(796\) | −11.8443 | − | 11.5820i | −0.419809 | − | 0.410515i | ||||
\(797\) | 23.6830i | 0.838894i | 0.907780 | + | 0.419447i | \(0.137776\pi\) | ||||
−0.907780 | + | 0.419447i | \(0.862224\pi\) | |||||||
\(798\) | 0.268720 | − | 0.871404i | 0.00951257 | − | 0.0308474i | ||||
\(799\) | − | 54.7145i | − | 1.93566i | ||||||
\(800\) | −20.2871 | − | 14.6836i | −0.717258 | − | 0.519145i | ||||
\(801\) | 39.1529 | − | 6.90370i | 1.38340 | − | 0.243930i | ||||
\(802\) | 4.31862 | − | 34.2848i | 0.152496 | − | 1.21064i | ||||
\(803\) | 4.76516 | + | 5.67889i | 0.168159 | + | 0.200404i | ||||
\(804\) | 0.757947 | + | 0.518174i | 0.0267307 | + | 0.0182746i | ||||
\(805\) | −2.02022 | + | 3.49912i | −0.0712034 | + | 0.123328i | ||||
\(806\) | 7.25158 | − | 14.1226i | 0.255426 | − | 0.497446i | ||||
\(807\) | 0.383023 | + | 1.05235i | 0.0134831 | + | 0.0370444i | ||||
\(808\) | 10.7173 | + | 19.7700i | 0.377033 | + | 0.695508i | ||||
\(809\) | −11.3880 | − | 19.7247i | −0.400382 | − | 0.693483i | 0.593390 | − | 0.804915i | \(-0.297789\pi\) |
−0.993772 | + | 0.111433i | \(0.964456\pi\) | |||||||
\(810\) | 0.472947 | + | 9.59917i | 0.0166177 | + | 0.337280i | ||||
\(811\) | −6.60869 | + | 37.4798i | −0.232063 | + | 1.31609i | 0.616650 | + | 0.787238i | \(0.288490\pi\) |
−0.848712 | + | 0.528855i | \(0.822622\pi\) | |||||||
\(812\) | −0.855909 | − | 3.05701i | −0.0300365 | − | 0.107280i | ||||
\(813\) | 0.0802615 | − | 0.0956519i | 0.00281489 | − | 0.00335466i | ||||
\(814\) | 6.41297 | + | 6.92037i | 0.224775 | + | 0.242559i | ||||
\(815\) | 3.26771 | − | 8.97796i | 0.114463 | − | 0.314484i | ||||
\(816\) | 0.663827 | + | 0.756080i | 0.0232386 | + | 0.0264681i | ||||
\(817\) | 21.8296 | + | 37.7477i | 0.763720 | + | 1.32063i | ||||
\(818\) | 5.53377 | + | 8.57994i | 0.193484 | + | 0.299990i | ||||
\(819\) | −13.3230 | − | 4.84918i | −0.465543 | − | 0.169444i | ||||
\(820\) | −0.977803 | + | 3.81973i | −0.0341464 | + | 0.133391i | ||||
\(821\) | −32.3816 | − | 27.1714i | −1.13013 | − | 0.948289i | −0.131055 | − | 0.991375i | \(-0.541837\pi\) |
−0.999071 | + | 0.0430862i | \(0.986281\pi\) | |||||||
\(822\) | 0.107548 | − | 0.347876i | 0.00375117 | − | 0.0121336i | ||||
\(823\) | −5.80436 | − | 1.02346i | −0.202327 | − | 0.0356757i | 0.0715660 | − | 0.997436i | \(-0.477200\pi\) |
−0.273893 | + | 0.961760i | \(0.588311\pi\) | |||||||
\(824\) | 17.0978 | + | 6.74811i | 0.595630 | + | 0.235082i | ||||
\(825\) | −0.141606 | + | 0.0817562i | −0.00493008 | + | 0.00284638i | ||||
\(826\) | 28.3372 | + | 21.4930i | 0.985979 | + | 0.747839i | ||||
\(827\) | 32.1283 | − | 11.6937i | 1.11721 | − | 0.406631i | 0.283577 | − | 0.958950i | \(-0.408479\pi\) |
0.833633 | + | 0.552318i | \(0.186257\pi\) | |||||||
\(828\) | 1.03717 | + | 10.4999i | 0.0360440 | + | 0.364895i | ||||
\(829\) | −16.6326 | − | 9.60285i | −0.577675 | − | 0.333521i | 0.182534 | − | 0.983200i | \(-0.441570\pi\) |
−0.760209 | + | 0.649679i | \(0.774903\pi\) | |||||||
\(830\) | −12.1463 | + | 5.11097i | −0.421603 | + | 0.177404i | ||||
\(831\) | 0.0378586 | − | 0.0317671i | 0.00131330 | − | 0.00110199i | ||||
\(832\) | −4.88940 | + | 11.4763i | −0.169509 | + | 0.397870i | ||||
\(833\) | −1.97088 | − | 11.1774i | −0.0682868 | − | 0.387274i | ||||
\(834\) | 0.0315748 | + | 0.138745i | 0.00109334 | + | 0.00480436i | ||||
\(835\) | −10.0413 | −0.347492 | ||||||||
\(836\) | 4.61257 | − | 4.72374i | 0.159529 | − | 0.163374i | ||||
\(837\) | −2.10575 | −0.0727853 | ||||||||
\(838\) | −4.62719 | − | 20.3327i | −0.159844 | − | 0.702382i | ||||
\(839\) | −2.76417 | − | 15.6764i | −0.0954297 | − | 0.541209i | −0.994615 | − | 0.103640i | \(-0.966951\pi\) |
0.899185 | − | 0.437569i | \(-0.144160\pi\) | |||||||
\(840\) | 0.269913 | + | 0.165650i | 0.00931289 | + | 0.00571545i | ||||
\(841\) | 22.0055 | − | 18.4648i | 0.758811 | − | 0.636718i | ||||
\(842\) | 3.19989 | − | 1.34647i | 0.110275 | − | 0.0464023i | ||||
\(843\) | 0.0630039 | + | 0.0363753i | 0.00216997 | + | 0.00125283i | ||||
\(844\) | 27.5413 | − | 2.72051i | 0.948011 | − | 0.0936437i | ||||
\(845\) | −7.51688 | + | 2.73592i | −0.258589 | + | 0.0941186i | ||||
\(846\) | −35.8312 | − | 27.1770i | −1.23190 | − | 0.934365i | ||||
\(847\) | −27.3889 | + | 15.8130i | −0.941094 | + | 0.543341i | ||||
\(848\) | −6.37581 | − | 31.9582i | −0.218946 | − | 1.09745i | ||||
\(849\) | 0.0871882 | + | 0.0153736i | 0.00299229 | + | 0.000527622i | ||||
\(850\) | −9.53773 | + | 30.8508i | −0.327142 | + | 1.05817i | ||||
\(851\) | −11.8762 | − | 9.96533i | −0.407111 | − | 0.341607i | ||||
\(852\) | −0.851311 | − | 0.217925i | −0.0291654 | − | 0.00746599i | ||||
\(853\) | 49.7520 | + | 18.1082i | 1.70348 | + | 0.620014i | 0.996214 | − | 0.0869379i | \(-0.0277082\pi\) |
0.707261 | + | 0.706952i | \(0.249930\pi\) | |||||||
\(854\) | 8.61062 | + | 13.3505i | 0.294649 | + | 0.456845i | ||||
\(855\) | −6.35167 | + | 7.58060i | −0.217223 | + | 0.259251i | ||||
\(856\) | 5.55588 | + | 37.3448i | 0.189896 | + | 1.27642i | ||||
\(857\) | −14.6168 | + | 40.1592i | −0.499299 | + | 1.37181i | 0.392654 | + | 0.919686i | \(0.371557\pi\) |
−0.891953 | + | 0.452127i | \(0.850665\pi\) | |||||||
\(858\) | 0.0553603 | + | 0.0597405i | 0.00188997 | + | 0.00203951i | ||||
\(859\) | −7.20171 | + | 8.58266i | −0.245719 | + | 0.292837i | −0.874781 | − | 0.484519i | \(-0.838995\pi\) |
0.629062 | + | 0.777355i | \(0.283439\pi\) | |||||||
\(860\) | −14.5828 | + | 4.08293i | −0.497269 | + | 0.139227i | ||||
\(861\) | −0.0669072 | + | 0.379450i | −0.00228019 | + | 0.0129316i | ||||
\(862\) | −2.36009 | − | 47.9015i | −0.0803849 | − | 1.63153i | ||||
\(863\) | −18.3713 | − | 31.8200i | −0.625367 | − | 1.08317i | −0.988470 | − | 0.151418i | \(-0.951616\pi\) |
0.363103 | − | 0.931749i | \(-0.381717\pi\) | |||||||
\(864\) | 1.65039 | − | 0.118397i | 0.0561473 | − | 0.00402795i | ||||
\(865\) | −2.94746 | − | 8.09807i | −0.100217 | − | 0.275343i | ||||
\(866\) | −12.2063 | + | 23.7720i | −0.414787 | + | 0.807804i | ||||
\(867\) | 0.234130 | − | 0.405524i | 0.00795146 | − | 0.0137723i | ||||
\(868\) | 24.6481 | − | 36.0534i | 0.836612 | − | 1.22373i | ||||
\(869\) | −7.37209 | − | 8.78571i | −0.250081 | − | 0.298035i | ||||
\(870\) | 0.00341405 | − | 0.0271036i | 0.000115747 | − | 0.000918898i | ||||
\(871\) | 14.4550 | − | 2.54880i | 0.489789 | − | 0.0863630i | ||||
\(872\) | −33.2416 | − | 6.78605i | −1.12570 | − | 0.229805i | ||||
\(873\) | 15.3215i | 0.518555i | ||||||||
\(874\) | −6.54982 | + | 8.64833i | −0.221551 | + | 0.292534i | ||||
\(875\) | 21.6432i | 0.731675i | ||||||||
\(876\) | −0.667531 | + | 0.682644i | −0.0225538 | + | 0.0230644i | ||||
\(877\) | −42.8083 | + | 7.54826i | −1.44553 | + | 0.254887i | −0.840716 | − | 0.541477i | \(-0.817865\pi\) |
−0.604818 | + | 0.796364i | \(0.706754\pi\) | |||||||
\(878\) | −27.4602 | − | 3.45897i | −0.926738 | − | 0.116735i | ||||
\(879\) | 0.810888 | + | 0.966379i | 0.0273506 | + | 0.0325952i | ||||
\(880\) | 1.19060 | + | 1.95953i | 0.0401351 | + | 0.0660557i | ||||
\(881\) | −4.25465 | + | 7.36927i | −0.143343 | + | 0.248277i | −0.928753 | − | 0.370698i | \(-0.879118\pi\) |
0.785411 | + | 0.618975i | \(0.212452\pi\) | |||||||
\(882\) | −8.29876 | − | 4.26120i | −0.279434 | − | 0.143482i | ||||
\(883\) | −6.94077 | − | 19.0696i | −0.233575 | − | 0.641743i | 0.766424 | − | 0.642334i | \(-0.222034\pi\) |
−1.00000 | 0.000591383i | \(0.999812\pi\) | ||||||||
\(884\) | 16.0383 | + | 1.22244i | 0.539425 | + | 0.0411152i | ||||
\(885\) | 0.153027 | + | 0.265050i | 0.00514394 | + | 0.00890956i | ||||
\(886\) | 15.1716 | − | 0.747501i | 0.509701 | − | 0.0251128i | ||||
\(887\) | −3.85358 | + | 21.8547i | −0.129390 | + | 0.733810i | 0.849212 | + | 0.528051i | \(0.177077\pi\) |
−0.978603 | + | 0.205758i | \(0.934034\pi\) | |||||||
\(888\) | −0.805788 | + | 0.909561i | −0.0270405 | + | 0.0305229i | ||||
\(889\) | 6.72851 | − | 8.01873i | 0.225667 | − | 0.268940i | ||||
\(890\) | −10.4130 | + | 9.64956i | −0.349046 | + | 0.323454i | ||||
\(891\) | −2.32565 | + | 6.38967i | −0.0779122 | + | 0.214062i | ||||
\(892\) | 7.71732 | − | 17.0454i | 0.258395 | − | 0.570722i | ||||
\(893\) | −8.06211 | − | 45.5326i | −0.269788 | − | 1.52369i | ||||
\(894\) | −0.875065 | + | 0.564388i | −0.0292666 | + | 0.0188760i | ||||
\(895\) | 5.05886 | + | 1.84127i | 0.169099 | + | 0.0615470i | ||||
\(896\) | −17.2909 | + | 29.6428i | −0.577649 | + | 0.990298i | ||||
\(897\) | −0.102522 | − | 0.0860262i | −0.00342311 | − | 0.00287233i | ||||
\(898\) | 19.5681 | + | 6.04961i | 0.652996 | + | 0.201878i | ||||
\(899\) | −3.71005 | − | 0.654182i | −0.123737 | − | 0.0218182i | ||||
\(900\) | 15.4660 | + | 21.5698i | 0.515534 | + | 0.718995i | ||||
\(901\) | −36.3900 | + | 21.0098i | −1.21233 | + | 0.699936i | ||||
\(902\) | −1.68581 | + | 2.22264i | −0.0561314 | + | 0.0740057i | ||||
\(903\) | −1.39060 | + | 0.506136i | −0.0462762 | + | 0.0168432i | ||||
\(904\) | −1.36000 | − | 1.71208i | −0.0452329 | − | 0.0569430i | ||||
\(905\) | −6.59186 | − | 3.80581i | −0.219121 | − | 0.126510i | ||||
\(906\) | 0.168523 | + | 0.400496i | 0.00559881 | + | 0.0133056i | ||||
\(907\) | 14.1086 | − | 11.8385i | 0.468467 | − | 0.393091i | −0.377768 | − | 0.925900i | \(-0.623308\pi\) |
0.846235 | + | 0.532810i | \(0.178864\pi\) | |||||||
\(908\) | 50.5191 | − | 24.2495i | 1.67653 | − | 0.804748i | ||||
\(909\) | −4.13861 | − | 23.4712i | −0.137269 | − | 0.778492i | ||||
\(910\) | 4.93658 | − | 1.12344i | 0.163646 | − | 0.0372415i | ||||
\(911\) | −24.3324 | −0.806168 | −0.403084 | − | 0.915163i | \(-0.632062\pi\) | ||||
−0.403084 | + | 0.915163i | \(0.632062\pi\) | |||||||
\(912\) | 0.663835 | + | 0.531385i | 0.0219818 | + | 0.0175959i | ||||
\(913\) | −9.32341 | −0.308560 | ||||||||
\(914\) | −2.63531 | + | 0.599728i | −0.0871684 | + | 0.0198372i | ||||
\(915\) | 0.0237387 | + | 0.134629i | 0.000784777 | + | 0.00445069i | ||||
\(916\) | 38.2459 | − | 18.3583i | 1.26368 | − | 0.606575i | ||||
\(917\) | −34.7243 | + | 29.1371i | −1.14670 | + | 0.962192i | ||||
\(918\) | −0.827476 | − | 1.96650i | −0.0273108 | − | 0.0649042i | ||||
\(919\) | 25.1161 | + | 14.5008i | 0.828504 | + | 0.478337i | 0.853340 | − | 0.521355i | \(-0.174573\pi\) |
−0.0248364 | + | 0.999692i | \(0.507906\pi\) | |||||||
\(920\) | −2.34344 | − | 2.95012i | −0.0772608 | − | 0.0972626i | ||||
\(921\) | 0.0925897 | − | 0.0336999i | 0.00305093 | − | 0.00111045i | ||||
\(922\) | 14.3056 | − | 18.8610i | 0.471129 | − | 0.621155i | ||||
\(923\) | −12.1663 | + | 7.02420i | −0.400457 | + | 0.231204i | ||||
\(924\) | 0.130563 | + | 0.182091i | 0.00429520 | + | 0.00599034i | ||||
\(925\) | −38.4070 | − | 6.77220i | −1.26282 | − | 0.222668i | ||||
\(926\) | −36.9606 | − | 11.4266i | −1.21460 | − | 0.375502i | ||||
\(927\) | −14.9232 | − | 12.5220i | −0.490142 | − | 0.411278i | ||||
\(928\) | 2.94455 | + | 0.304117i | 0.0966594 | + | 0.00998314i | ||||
\(929\) | −51.4833 | − | 18.7384i | −1.68911 | − | 0.614787i | −0.694600 | − | 0.719396i | \(-0.744419\pi\) |
−0.994513 | + | 0.104609i | \(0.966641\pi\) | |||||||
\(930\) | 0.315827 | − | 0.203698i | 0.0103564 | − | 0.00667953i | ||||
\(931\) | −3.28711 | − | 9.01126i | −0.107731 | − | 0.295332i | ||||
\(932\) | 8.45875 | − | 18.6830i | 0.277076 | − | 0.611983i | ||||
\(933\) | −0.459648 | + | 1.26287i | −0.0150482 | + | 0.0413446i | ||||
\(934\) | 18.6651 | − | 17.2966i | 0.610740 | − | 0.565961i | ||||
\(935\) | 1.90038 | − | 2.26479i | 0.0621492 | − | 0.0740665i | ||||
\(936\) | 8.76686 | − | 9.89589i | 0.286554 | − | 0.323457i | ||||
\(937\) | −3.50848 | + | 19.8976i | −0.114617 | + | 0.650026i | 0.872322 | + | 0.488932i | \(0.162613\pi\) |
−0.986939 | + | 0.161094i | \(0.948498\pi\) | |||||||
\(938\) | 40.3302 | − | 1.98705i | 1.31683 | − | 0.0648796i | ||||
\(939\) | 0.396674 | + | 0.687059i | 0.0129450 | + | 0.0224213i | ||||
\(940\) | 16.0124 | + | 1.22047i | 0.522268 | + | 0.0398075i | ||||
\(941\) | 13.2176 | + | 36.3151i | 0.430882 | + | 1.18384i | 0.945272 | + | 0.326283i | \(0.105796\pi\) |
−0.514390 | + | 0.857557i | \(0.671981\pi\) | |||||||
\(942\) | −0.0470062 | − | 0.0241365i | −0.00153155 | − | 0.000786410i | ||||
\(943\) | 2.29194 | − | 3.96976i | 0.0746359 | − | 0.129273i | ||||
\(944\) | −28.3430 | + | 17.2210i | −0.922485 | + | 0.560497i | ||||
\(945\) | −0.431655 | − | 0.514426i | −0.0140417 | − | 0.0167343i | ||||
\(946\) | −10.6302 | − | 1.33902i | −0.345619 | − | 0.0435352i | ||||
\(947\) | 20.9978 | − | 3.70248i | 0.682338 | − | 0.120315i | 0.178274 | − | 0.983981i | \(-0.442949\pi\) |
0.504064 | + | 0.863666i | \(0.331838\pi\) | |||||||
\(948\) | 1.03272 | − | 1.05611i | 0.0335413 | − | 0.0343007i | ||||
\(949\) | 15.2636i | 0.495478i | ||||||||
\(950\) | −3.39133 | + | 27.0790i | −0.110029 | + | 0.878558i | ||||
\(951\) | 0.154667i | 0.00501543i | ||||||||
\(952\) | 43.3550 | + | 8.85064i | 1.40514 | + | 0.286851i | ||||
\(953\) | 9.61564 | − | 1.69550i | 0.311481 | − | 0.0549225i | −0.0157225 | − | 0.999876i | \(-0.505005\pi\) |
0.327204 | + | 0.944954i | \(0.393894\pi\) | |||||||
\(954\) | −4.31633 | + | 34.2666i | −0.139746 | + | 1.10942i | ||||
\(955\) | 4.20805 | + | 5.01496i | 0.136169 | + | 0.162280i | ||||
\(956\) | −4.68307 | + | 6.85004i | −0.151461 | + | 0.221546i | ||||
\(957\) | 0.00966379 | − | 0.0167382i | 0.000312386 | − | 0.000541069i | ||||
\(958\) | −18.5435 | + | 36.1138i | −0.599114 | + | 1.16678i | ||||
\(959\) | −5.47701 | − | 15.0480i | −0.176862 | − | 0.485924i | ||||
\(960\) | −0.236078 | + | 0.177407i | −0.00761938 | + | 0.00572578i | ||||
\(961\) | −10.4139 | − | 18.0373i | −0.335931 | − | 0.581849i | ||||
\(962\) | 0.955959 | + | 19.4026i | 0.0308213 | + | 0.625565i | ||||
\(963\) | 6.94841 | − | 39.4064i | 0.223909 | − | 1.26985i | ||||
\(964\) | −14.2661 | + | 3.99427i | −0.459481 | + | 0.128647i | ||||
\(965\) | 7.03762 | − | 8.38711i | 0.226549 | − | 0.269991i | ||||
\(966\) | −0.250250 | − | 0.270050i | −0.00805167 | − | 0.00868873i | ||||
\(967\) | −3.34004 | + | 9.17669i | −0.107408 | + | 0.295102i | −0.981740 | − | 0.190226i | \(-0.939078\pi\) |
0.874332 | + | 0.485329i | \(0.161300\pi\) | |||||||
\(968\) | −4.33962 | − | 29.1694i | −0.139481 | − | 0.937541i | ||||
\(969\) | 0.374262 | − | 1.03056i | 0.0120230 | − | 0.0331065i | ||||
\(970\) | −2.96541 | − | 4.59778i | −0.0952136 | − | 0.147626i | ||||
\(971\) | 6.46943 | + | 2.35468i | 0.207614 | + | 0.0755653i | 0.443734 | − | 0.896159i | \(-0.353654\pi\) |
−0.236120 | + | 0.971724i | \(0.575876\pi\) | |||||||
\(972\) | −2.54858 | − | 0.652405i | −0.0817457 | − | 0.0209259i | ||||
\(973\) | 4.79383 | + | 4.02250i | 0.153683 | + | 0.128955i | ||||
\(974\) | 11.8039 | − | 38.1809i | 0.378221 | − | 1.22339i | ||||
\(975\) | −0.331551 | − | 0.0584613i | −0.0106181 | − | 0.00187226i | ||||
\(976\) | −14.5274 | + | 2.89829i | −0.465011 | + | 0.0927720i | ||||
\(977\) | −18.1282 | + | 10.4663i | −0.579973 | + | 0.334848i | −0.761123 | − | 0.648608i | \(-0.775352\pi\) |
0.181149 | + | 0.983456i | \(0.442018\pi\) | |||||||
\(978\) | 0.693646 | + | 0.526112i | 0.0221803 | + | 0.0168232i | ||||
\(979\) | −9.43854 | + | 3.43535i | −0.301657 | + | 0.109794i | ||||
\(980\) | 3.31508 | − | 0.327460i | 0.105896 | − | 0.0104603i | ||||
\(981\) | 31.1394 | + | 17.9783i | 0.994205 | + | 0.574004i | ||||
\(982\) | −4.12029 | + | 1.73376i | −0.131484 | + | 0.0553265i | ||||
\(983\) | −13.8631 | + | 11.6325i | −0.442164 | + | 0.371020i | −0.836519 | − | 0.547939i | \(-0.815413\pi\) |
0.394354 | + | 0.918959i | \(0.370968\pi\) | |||||||
\(984\) | −0.306217 | − | 0.187930i | −0.00976184 | − | 0.00599098i | ||||
\(985\) | 0.300591 | + | 1.70474i | 0.00957763 | + | 0.0543174i | ||||
\(986\) | −0.846980 | − | 3.72178i | −0.0269733 | − | 0.118526i | ||||
\(987\) | 1.56929 | 0.0499510 | ||||||||
\(988\) | 13.5269 | − | 1.34592i | 0.430349 | − | 0.0428194i | ||||
\(989\) | 17.6054 | 0.559821 | ||||||||
\(990\) | −0.539225 | − | 2.36945i | −0.0171377 | − | 0.0753061i | ||||
\(991\) | −1.80534 | − | 10.2386i | −0.0573485 | − | 0.325240i | 0.942614 | − | 0.333884i | \(-0.108359\pi\) |
−0.999963 | + | 0.00864445i | \(0.997248\pi\) | |||||||
\(992\) | 22.8337 | + | 33.7210i | 0.724971 | + | 1.07064i | ||||
\(993\) | −0.0636623 | + | 0.0534190i | −0.00202026 | + | 0.00169520i | ||||
\(994\) | −35.6219 | + | 14.9892i | −1.12986 | + | 0.475429i | ||||
\(995\) | −5.42942 | − | 3.13468i | −0.172124 | − | 0.0993759i | ||||
\(996\) | −0.118038 | − | 1.19497i | −0.00374019 | − | 0.0378642i | ||||
\(997\) | 51.1244 | − | 18.6078i | 1.61913 | − | 0.589313i | 0.635910 | − | 0.771763i | \(-0.280625\pi\) |
0.983215 | + | 0.182450i | \(0.0584026\pi\) | |||||||
\(998\) | −23.2095 | − | 17.6037i | −0.734683 | − | 0.557237i | ||||
\(999\) | 2.23149 | − | 1.28835i | 0.0706013 | − | 0.0407617i |
(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 | 76.2.k.a.15.1 | ✓ | 48 | |
3.2 | odd | 2 | 684.2.cf.a.91.8 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.15.6 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.91.3 | 48 | |||
19.14 | odd | 18 | inner | 76.2.k.a.71.6 | yes | 48 | |
57.14 | even | 18 | 684.2.cf.a.451.3 | 48 | |||
76.71 | even | 18 | inner | 76.2.k.a.71.1 | yes | 48 | |
228.71 | odd | 18 | 684.2.cf.a.451.8 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.15.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
76.2.k.a.15.6 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.71.1 | yes | 48 | 76.71 | even | 18 | inner | |
76.2.k.a.71.6 | yes | 48 | 19.14 | odd | 18 | inner | |
684.2.cf.a.91.3 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.91.8 | 48 | 3.2 | odd | 2 | |||
684.2.cf.a.451.3 | 48 | 57.14 | even | 18 | |||
684.2.cf.a.451.8 | 48 | 228.71 | odd | 18 |