Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [154,2,Mod(15,154)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(154, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("154.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 154 = 2 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 154.f (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.22969619113\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.58140625.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 4x^{6} - 7x^{5} + 11x^{4} + 5x^{3} - 10x^{2} - 25x + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 15.2 | ||
Root | \(1.66637 + 0.917186i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 154.15 |
Dual form | 154.2.f.e.113.2 |
$q$-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 \(\left(\mathbb{Z}/154\mathbb{Z}\right)^\times\).
\(n\) | \(45\) | \(57\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.220859 | − | 0.679734i | 0.127513 | − | 0.392445i | −0.866838 | − | 0.498591i | \(-0.833851\pi\) |
0.994351 | + | 0.106146i | \(0.0338511\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 0.451659 | − | 0.328150i | 0.201988 | − | 0.146753i | −0.482193 | − | 0.876065i | \(-0.660160\pi\) |
0.684181 | + | 0.729312i | \(0.260160\pi\) | |||||||
\(6\) | 0.578217 | − | 0.420099i | 0.236056 | − | 0.171505i | ||||
\(7\) | 0.309017 | + | 0.951057i | 0.116797 | + | 0.359466i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | 2.01379 | + | 1.46310i | 0.671264 | + | 0.487702i | ||||
\(10\) | 0.558282 | 0.176544 | ||||||||
\(11\) | 1.91711 | − | 2.70642i | 0.578030 | − | 0.816015i | ||||
\(12\) | 0.714715 | 0.206320 | ||||||||
\(13\) | −3.67164 | − | 2.66760i | −1.01833 | − | 0.739860i | −0.0523904 | − | 0.998627i | \(-0.516684\pi\) |
−0.965940 | + | 0.258766i | \(0.916684\pi\) | |||||||
\(14\) | −0.309017 | + | 0.951057i | −0.0825883 | + | 0.254181i | ||||
\(15\) | −0.123302 | − | 0.379483i | −0.0318363 | − | 0.0979822i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −5.44084 | + | 3.95300i | −1.31960 | + | 0.958744i | −0.319661 | + | 0.947532i | \(0.603569\pi\) |
−0.999937 | + | 0.0112120i | \(0.996431\pi\) | |||||||
\(18\) | 0.769200 | + | 2.36735i | 0.181302 | + | 0.557990i | ||||
\(19\) | 0.872566 | − | 2.68548i | 0.200180 | − | 0.616092i | −0.799696 | − | 0.600404i | \(-0.795006\pi\) |
0.999877 | − | 0.0156876i | \(-0.00499373\pi\) | |||||||
\(20\) | 0.451659 | + | 0.328150i | 0.100994 | + | 0.0733765i | ||||
\(21\) | 0.714715 | 0.155964 | ||||||||
\(22\) | 3.14177 | − | 1.06269i | 0.669827 | − | 0.226566i | ||||
\(23\) | −5.77447 | −1.20406 | −0.602030 | − | 0.798474i | \(-0.705641\pi\) | ||||
−0.602030 | + | 0.798474i | \(0.705641\pi\) | |||||||
\(24\) | 0.578217 | + | 0.420099i | 0.118028 | + | 0.0857523i | ||||
\(25\) | −1.44877 | + | 4.45886i | −0.289754 | + | 0.891772i | ||||
\(26\) | −1.40244 | − | 4.31627i | −0.275042 | − | 0.846491i | ||||
\(27\) | 3.17394 | − | 2.30600i | 0.610824 | − | 0.443790i | ||||
\(28\) | −0.809017 | + | 0.587785i | −0.152890 | + | 0.111081i | ||||
\(29\) | −1.93031 | − | 5.94087i | −0.358449 | − | 1.10319i | −0.953983 | − | 0.299862i | \(-0.903059\pi\) |
0.595534 | − | 0.803330i | \(-0.296941\pi\) | |||||||
\(30\) | 0.123302 | − | 0.379483i | 0.0225117 | − | 0.0692839i | ||||
\(31\) | −1.43557 | − | 1.04301i | −0.257837 | − | 0.187329i | 0.451356 | − | 0.892344i | \(-0.350940\pi\) |
−0.709193 | + | 0.705015i | \(0.750940\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −1.41623 | − | 1.90086i | −0.246535 | − | 0.330898i | ||||
\(34\) | −6.72525 | −1.15337 | ||||||||
\(35\) | 0.451659 | + | 0.328150i | 0.0763444 | + | 0.0554674i | ||||
\(36\) | −0.769200 | + | 2.36735i | −0.128200 | + | 0.394559i | ||||
\(37\) | 3.16023 | + | 9.72619i | 0.519539 | + | 1.59898i | 0.774869 | + | 0.632122i | \(0.217816\pi\) |
−0.255330 | + | 0.966854i | \(0.582184\pi\) | |||||||
\(38\) | 2.28441 | − | 1.65972i | 0.370580 | − | 0.269242i | ||||
\(39\) | −2.62418 | + | 1.90658i | −0.420205 | + | 0.305297i | ||||
\(40\) | 0.172519 | + | 0.530958i | 0.0272776 | + | 0.0839518i | ||||
\(41\) | 1.38723 | − | 4.26947i | 0.216649 | − | 0.666779i | −0.782383 | − | 0.622798i | \(-0.785996\pi\) |
0.999032 | − | 0.0439808i | \(-0.0140041\pi\) | |||||||
\(42\) | 0.578217 | + | 0.420099i | 0.0892208 | + | 0.0648227i | ||||
\(43\) | −0.188604 | −0.0287618 | −0.0143809 | − | 0.999897i | \(-0.504578\pi\) | ||||
−0.0143809 | + | 0.999897i | \(0.504578\pi\) | |||||||
\(44\) | 3.16637 | + | 0.986951i | 0.477349 | + | 0.148788i | ||||
\(45\) | 1.38967 | 0.207159 | ||||||||
\(46\) | −4.67164 | − | 3.39415i | −0.688796 | − | 0.500440i | ||||
\(47\) | 3.65117 | − | 11.2371i | 0.532577 | − | 1.63910i | −0.216249 | − | 0.976338i | \(-0.569382\pi\) |
0.748827 | − | 0.662766i | \(-0.230618\pi\) | |||||||
\(48\) | 0.220859 | + | 0.679734i | 0.0318783 | + | 0.0981112i | ||||
\(49\) | −0.809017 | + | 0.587785i | −0.115574 | + | 0.0839693i | ||||
\(50\) | −3.79293 | + | 2.75573i | −0.536402 | + | 0.389719i | ||||
\(51\) | 1.48533 | + | 4.57138i | 0.207988 | + | 0.640122i | ||||
\(52\) | 1.40244 | − | 4.31627i | 0.194484 | − | 0.598560i | ||||
\(53\) | 1.27914 | + | 0.929350i | 0.175704 | + | 0.127656i | 0.672161 | − | 0.740405i | \(-0.265366\pi\) |
−0.496458 | + | 0.868061i | \(0.665366\pi\) | |||||||
\(54\) | 3.92320 | 0.533880 | ||||||||
\(55\) | −0.0222293 | − | 1.85148i | −0.00299740 | − | 0.249653i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | −1.63270 | − | 1.18623i | −0.216257 | − | 0.157120i | ||||
\(58\) | 1.93031 | − | 5.94087i | 0.253462 | − | 0.780075i | ||||
\(59\) | 2.85883 | + | 8.79857i | 0.372188 | + | 1.14548i | 0.945356 | + | 0.326039i | \(0.105714\pi\) |
−0.573169 | + | 0.819437i | \(0.694286\pi\) | |||||||
\(60\) | 0.322808 | − | 0.234534i | 0.0416743 | − | 0.0302782i | ||||
\(61\) | −2.25215 | + | 1.63629i | −0.288359 | + | 0.209505i | −0.722555 | − | 0.691313i | \(-0.757032\pi\) |
0.434196 | + | 0.900818i | \(0.357032\pi\) | |||||||
\(62\) | −0.548341 | − | 1.68762i | −0.0696393 | − | 0.214328i | ||||
\(63\) | −0.769200 | + | 2.36735i | −0.0969100 | + | 0.298258i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −2.53371 | −0.314268 | ||||||||
\(66\) | −0.0284581 | − | 2.37027i | −0.00350294 | − | 0.291760i | ||||
\(67\) | 3.36968 | 0.411672 | 0.205836 | − | 0.978587i | \(-0.434009\pi\) | ||||
0.205836 | + | 0.978587i | \(0.434009\pi\) | |||||||
\(68\) | −5.44084 | − | 3.95300i | −0.659799 | − | 0.479372i | ||||
\(69\) | −1.27534 | + | 3.92510i | −0.153533 | + | 0.472527i | ||||
\(70\) | 0.172519 | + | 0.530958i | 0.0206199 | + | 0.0634616i | ||||
\(71\) | 9.75128 | − | 7.08472i | 1.15726 | − | 0.840801i | 0.167834 | − | 0.985815i | \(-0.446323\pi\) |
0.989430 | + | 0.145014i | \(0.0463227\pi\) | |||||||
\(72\) | −2.01379 | + | 1.46310i | −0.237328 | + | 0.172429i | ||||
\(73\) | 4.68920 | + | 14.4319i | 0.548829 | + | 1.68912i | 0.711707 | + | 0.702476i | \(0.247922\pi\) |
−0.162878 | + | 0.986646i | \(0.552078\pi\) | |||||||
\(74\) | −3.16023 | + | 9.72619i | −0.367369 | + | 1.13065i | ||||
\(75\) | 2.71087 | + | 1.96956i | 0.313024 | + | 0.227425i | ||||
\(76\) | 2.82368 | 0.323899 | ||||||||
\(77\) | 3.16637 | + | 0.986951i | 0.360842 | + | 0.112474i | ||||
\(78\) | −3.24366 | −0.367272 | ||||||||
\(79\) | 1.68869 | + | 1.22690i | 0.189992 | + | 0.138037i | 0.678715 | − | 0.734402i | \(-0.262537\pi\) |
−0.488723 | + | 0.872439i | \(0.662537\pi\) | |||||||
\(80\) | −0.172519 | + | 0.530958i | −0.0192882 | + | 0.0593629i | ||||
\(81\) | 1.44112 | + | 4.43532i | 0.160125 | + | 0.492814i | ||||
\(82\) | 3.63182 | − | 2.63868i | 0.401068 | − | 0.291393i | ||||
\(83\) | 2.75074 | − | 1.99853i | 0.301932 | − | 0.219367i | −0.426495 | − | 0.904490i | \(-0.640252\pi\) |
0.728427 | + | 0.685123i | \(0.240252\pi\) | |||||||
\(84\) | 0.220859 | + | 0.679734i | 0.0240977 | + | 0.0741651i | ||||
\(85\) | −1.16023 | + | 3.57082i | −0.125845 | + | 0.387310i | ||||
\(86\) | −0.152584 | − | 0.110859i | −0.0164535 | − | 0.0119542i | ||||
\(87\) | −4.46454 | −0.478649 | ||||||||
\(88\) | 1.98154 | + | 2.65961i | 0.211232 | + | 0.283515i | ||||
\(89\) | −8.40304 | −0.890720 | −0.445360 | − | 0.895352i | \(-0.646924\pi\) | ||||
−0.445360 | + | 0.895352i | \(0.646924\pi\) | |||||||
\(90\) | 1.12426 | + | 0.816825i | 0.118508 | + | 0.0861009i | ||||
\(91\) | 1.40244 | − | 4.31627i | 0.147016 | − | 0.452468i | ||||
\(92\) | −1.78441 | − | 5.49184i | −0.186037 | − | 0.572564i | ||||
\(93\) | −1.02603 | + | 0.745452i | −0.106394 | + | 0.0772998i | ||||
\(94\) | 9.55888 | − | 6.94493i | 0.985923 | − | 0.716315i | ||||
\(95\) | −0.487138 | − | 1.49926i | −0.0499793 | − | 0.153820i | ||||
\(96\) | −0.220859 | + | 0.679734i | −0.0225413 | + | 0.0693751i | ||||
\(97\) | 6.78826 | + | 4.93196i | 0.689243 | + | 0.500764i | 0.876411 | − | 0.481563i | \(-0.159931\pi\) |
−0.187168 | + | 0.982328i | \(0.559931\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 7.82043 | − | 2.64522i | 0.785983 | − | 0.265855i | ||||
\(100\) | −4.68832 | −0.468832 | ||||||||
\(101\) | −6.90771 | − | 5.01875i | −0.687343 | − | 0.499384i | 0.188443 | − | 0.982084i | \(-0.439656\pi\) |
−0.875786 | + | 0.482700i | \(0.839656\pi\) | |||||||
\(102\) | −1.48533 | + | 4.57138i | −0.147070 | + | 0.452634i | ||||
\(103\) | 2.74368 | + | 8.44419i | 0.270343 | + | 0.832030i | 0.990414 | + | 0.138130i | \(0.0441092\pi\) |
−0.720071 | + | 0.693900i | \(0.755891\pi\) | |||||||
\(104\) | 3.67164 | − | 2.66760i | 0.360034 | − | 0.261580i | ||||
\(105\) | 0.322808 | − | 0.234534i | 0.0315028 | − | 0.0228881i | ||||
\(106\) | 0.488588 | + | 1.50372i | 0.0474559 | + | 0.146054i | ||||
\(107\) | 0.619504 | − | 1.90664i | 0.0598898 | − | 0.184322i | −0.916636 | − | 0.399724i | \(-0.869106\pi\) |
0.976525 | + | 0.215402i | \(0.0691061\pi\) | |||||||
\(108\) | 3.17394 | + | 2.30600i | 0.305412 | + | 0.221895i | ||||
\(109\) | 1.78676 | 0.171140 | 0.0855701 | − | 0.996332i | \(-0.472729\pi\) | ||||
0.0855701 | + | 0.996332i | \(0.472729\pi\) | |||||||
\(110\) | 1.07029 | − | 1.51094i | 0.102048 | − | 0.144063i | ||||
\(111\) | 7.30919 | 0.693758 | ||||||||
\(112\) | −0.809017 | − | 0.587785i | −0.0764449 | − | 0.0555405i | ||||
\(113\) | 3.59722 | − | 11.0711i | 0.338398 | − | 1.04148i | −0.626626 | − | 0.779320i | \(-0.715564\pi\) |
0.965024 | − | 0.262162i | \(-0.0844356\pi\) | |||||||
\(114\) | −0.623636 | − | 1.91936i | −0.0584089 | − | 0.179764i | ||||
\(115\) | −2.60809 | + | 1.89489i | −0.243206 | + | 0.176699i | ||||
\(116\) | 5.05361 | − | 3.67166i | 0.469216 | − | 0.340905i | ||||
\(117\) | −3.49094 | − | 10.7440i | −0.322737 | − | 0.993283i | ||||
\(118\) | −2.85883 | + | 8.79857i | −0.263176 | + | 0.809974i | ||||
\(119\) | −5.44084 | − | 3.95300i | −0.498761 | − | 0.362371i | ||||
\(120\) | 0.399012 | 0.0364247 | ||||||||
\(121\) | −3.64938 | − | 10.3770i | −0.331762 | − | 0.943363i | ||||
\(122\) | −2.78381 | −0.252035 | ||||||||
\(123\) | −2.59572 | − | 1.88590i | −0.234048 | − | 0.170046i | ||||
\(124\) | 0.548341 | − | 1.68762i | 0.0492424 | − | 0.151553i | ||||
\(125\) | 1.67142 | + | 5.14409i | 0.149496 | + | 0.460101i | ||||
\(126\) | −2.01379 | + | 1.46310i | −0.179403 | + | 0.130344i | ||||
\(127\) | −8.83802 | + | 6.42119i | −0.784247 | + | 0.569789i | −0.906251 | − | 0.422741i | \(-0.861068\pi\) |
0.122003 | + | 0.992530i | \(0.461068\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −0.0416549 | + | 0.128201i | −0.00366751 | + | 0.0112874i | ||||
\(130\) | −2.04981 | − | 1.48927i | −0.179780 | − | 0.130618i | ||||
\(131\) | −0.831279 | −0.0726292 | −0.0363146 | − | 0.999340i | \(-0.511562\pi\) | ||||
−0.0363146 | + | 0.999340i | \(0.511562\pi\) | |||||||
\(132\) | 1.37019 | − | 1.93432i | 0.119259 | − | 0.168361i | ||||
\(133\) | 2.82368 | 0.244844 | ||||||||
\(134\) | 2.72613 | + | 1.98065i | 0.235501 | + | 0.171102i | ||||
\(135\) | 0.676825 | − | 2.08305i | 0.0582518 | − | 0.179281i | ||||
\(136\) | −2.07822 | − | 6.39609i | −0.178206 | − | 0.548460i | ||||
\(137\) | 3.31896 | − | 2.41136i | 0.283558 | − | 0.206017i | −0.436910 | − | 0.899505i | \(-0.643927\pi\) |
0.720468 | + | 0.693488i | \(0.243927\pi\) | |||||||
\(138\) | −3.33889 | + | 2.42585i | −0.284225 | + | 0.206502i | ||||
\(139\) | 2.13939 | + | 6.58436i | 0.181460 | + | 0.558478i | 0.999869 | − | 0.0161584i | \(-0.00514359\pi\) |
−0.818409 | + | 0.574636i | \(0.805144\pi\) | |||||||
\(140\) | −0.172519 | + | 0.530958i | −0.0145805 | + | 0.0448741i | ||||
\(141\) | −6.83187 | − | 4.96365i | −0.575347 | − | 0.418014i | ||||
\(142\) | 12.0532 | 1.01149 | ||||||||
\(143\) | −14.2586 | + | 4.82290i | −1.19236 | + | 0.403311i | ||||
\(144\) | −2.48918 | −0.207432 | ||||||||
\(145\) | −2.82134 | − | 2.04982i | −0.234299 | − | 0.170228i | ||||
\(146\) | −4.68920 | + | 14.4319i | −0.388081 | + | 1.19439i | ||||
\(147\) | 0.220859 | + | 0.679734i | 0.0182162 | + | 0.0560636i | ||||
\(148\) | −8.27359 | + | 6.01112i | −0.680085 | + | 0.494111i | ||||
\(149\) | −11.1968 | + | 8.13495i | −0.917277 | + | 0.666441i | −0.942845 | − | 0.333232i | \(-0.891861\pi\) |
0.0255678 | + | 0.999673i | \(0.491861\pi\) | |||||||
\(150\) | 1.03546 | + | 3.18681i | 0.0845448 | + | 0.260202i | ||||
\(151\) | 2.65496 | − | 8.17114i | 0.216058 | − | 0.664958i | −0.783019 | − | 0.621998i | \(-0.786321\pi\) |
0.999077 | − | 0.0429598i | \(-0.0136787\pi\) | |||||||
\(152\) | 2.28441 | + | 1.65972i | 0.185290 | + | 0.134621i | ||||
\(153\) | −16.7404 | −1.35338 | ||||||||
\(154\) | 1.98154 | + | 2.65961i | 0.159677 | + | 0.214317i | ||||
\(155\) | −0.990653 | −0.0795711 | ||||||||
\(156\) | −2.62418 | − | 1.90658i | −0.210102 | − | 0.152648i | ||||
\(157\) | 4.29998 | − | 13.2340i | 0.343176 | − | 1.05619i | −0.619377 | − | 0.785094i | \(-0.712615\pi\) |
0.962553 | − | 0.271094i | \(-0.0873853\pi\) | |||||||
\(158\) | 0.645022 | + | 1.98517i | 0.0513152 | + | 0.157932i | ||||
\(159\) | 0.914221 | − | 0.664221i | 0.0725025 | − | 0.0526761i | ||||
\(160\) | −0.451659 | + | 0.328150i | −0.0357068 | + | 0.0259425i | ||||
\(161\) | −1.78441 | − | 5.49184i | −0.140631 | − | 0.432818i | ||||
\(162\) | −1.44112 | + | 4.43532i | −0.113225 | + | 0.348472i | ||||
\(163\) | −12.7941 | − | 9.29543i | −1.00211 | − | 0.728075i | −0.0395694 | − | 0.999217i | \(-0.512599\pi\) |
−0.962539 | + | 0.271142i | \(0.912599\pi\) | |||||||
\(164\) | 4.48918 | 0.350546 | ||||||||
\(165\) | −1.26342 | − | 0.393806i | −0.0983573 | − | 0.0306577i | ||||
\(166\) | 3.40010 | 0.263899 | ||||||||
\(167\) | −13.2476 | − | 9.62492i | −1.02513 | − | 0.744799i | −0.0577997 | − | 0.998328i | \(-0.518408\pi\) |
−0.967328 | + | 0.253530i | \(0.918408\pi\) | |||||||
\(168\) | −0.220859 | + | 0.679734i | −0.0170396 | + | 0.0524427i | ||||
\(169\) | 2.34762 | + | 7.22524i | 0.180586 | + | 0.555788i | ||||
\(170\) | −3.03752 | + | 2.20689i | −0.232967 | + | 0.169261i | ||||
\(171\) | 5.68631 | − | 4.13135i | 0.434843 | − | 0.315932i | ||||
\(172\) | −0.0582818 | − | 0.179373i | −0.00444394 | − | 0.0136771i | ||||
\(173\) | −5.94084 | + | 18.2840i | −0.451674 | + | 1.39011i | 0.423322 | + | 0.905979i | \(0.360864\pi\) |
−0.874996 | + | 0.484130i | \(0.839136\pi\) | |||||||
\(174\) | −3.61189 | − | 2.62419i | −0.273817 | − | 0.198939i | ||||
\(175\) | −4.68832 | −0.354404 | ||||||||
\(176\) | 0.0398173 | + | 3.31639i | 0.00300135 | + | 0.249982i | ||||
\(177\) | 6.61209 | 0.496995 | ||||||||
\(178\) | −6.79820 | − | 4.93918i | −0.509547 | − | 0.370207i | ||||
\(179\) | 0.690107 | − | 2.12393i | 0.0515810 | − | 0.158750i | −0.921948 | − | 0.387314i | \(-0.873403\pi\) |
0.973529 | + | 0.228564i | \(0.0734030\pi\) | |||||||
\(180\) | 0.429430 | + | 1.32165i | 0.0320078 | + | 0.0985100i | ||||
\(181\) | 15.8922 | − | 11.5464i | 1.18126 | − | 0.858235i | 0.188946 | − | 0.981987i | \(-0.439493\pi\) |
0.992313 | + | 0.123752i | \(0.0394928\pi\) | |||||||
\(182\) | 3.67164 | − | 2.66760i | 0.272160 | − | 0.197736i | ||||
\(183\) | 0.614831 | + | 1.89225i | 0.0454496 | + | 0.139879i | ||||
\(184\) | 1.78441 | − | 5.49184i | 0.131548 | − | 0.404864i | ||||
\(185\) | 4.61900 | + | 3.35590i | 0.339595 | + | 0.246730i | ||||
\(186\) | −1.26824 | −0.0929918 | ||||||||
\(187\) | 0.267782 | + | 22.3035i | 0.0195821 | + | 1.63100i | ||||
\(188\) | 11.8154 | 0.861728 | ||||||||
\(189\) | 3.17394 | + | 2.30600i | 0.230870 | + | 0.167737i | ||||
\(190\) | 0.487138 | − | 1.49926i | 0.0353407 | − | 0.108767i | ||||
\(191\) | −4.30848 | − | 13.2601i | −0.311750 | − | 0.959469i | −0.977071 | − | 0.212912i | \(-0.931705\pi\) |
0.665321 | − | 0.746557i | \(-0.268295\pi\) | |||||||
\(192\) | −0.578217 | + | 0.420099i | −0.0417292 | + | 0.0303180i | ||||
\(193\) | 9.57496 | − | 6.95662i | 0.689221 | − | 0.500748i | −0.187183 | − | 0.982325i | \(-0.559936\pi\) |
0.876404 | + | 0.481577i | \(0.159936\pi\) | |||||||
\(194\) | 2.59288 | + | 7.98008i | 0.186158 | + | 0.572936i | ||||
\(195\) | −0.559592 | + | 1.72225i | −0.0400732 | + | 0.123333i | ||||
\(196\) | −0.809017 | − | 0.587785i | −0.0577869 | − | 0.0419847i | ||||
\(197\) | 7.03042 | 0.500897 | 0.250448 | − | 0.968130i | \(-0.419422\pi\) | ||||
0.250448 | + | 0.968130i | \(0.419422\pi\) | |||||||
\(198\) | 7.88168 | + | 2.45670i | 0.560127 | + | 0.174590i | ||||
\(199\) | −9.84073 | −0.697591 | −0.348795 | − | 0.937199i | \(-0.613409\pi\) | ||||
−0.348795 | + | 0.937199i | \(0.613409\pi\) | |||||||
\(200\) | −3.79293 | − | 2.75573i | −0.268201 | − | 0.194859i | ||||
\(201\) | 0.744224 | − | 2.29049i | 0.0524935 | − | 0.161558i | ||||
\(202\) | −2.63851 | − | 8.12050i | −0.185645 | − | 0.571356i | ||||
\(203\) | 5.05361 | − | 3.67166i | 0.354694 | − | 0.257700i | ||||
\(204\) | −3.88865 | + | 2.82527i | −0.272260 | + | 0.197809i | ||||
\(205\) | −0.774467 | − | 2.38357i | −0.0540911 | − | 0.166475i | ||||
\(206\) | −2.74368 | + | 8.44419i | −0.191161 | + | 0.588334i | ||||
\(207\) | −11.6286 | − | 8.44865i | −0.808241 | − | 0.587222i | ||||
\(208\) | 4.53840 | 0.314681 | ||||||||
\(209\) | −5.59523 | − | 7.50989i | −0.387030 | − | 0.519470i | ||||
\(210\) | 0.399012 | 0.0275345 | ||||||||
\(211\) | 13.0182 | + | 9.45826i | 0.896209 | + | 0.651134i | 0.937489 | − | 0.348014i | \(-0.113144\pi\) |
−0.0412808 | + | 0.999148i | \(0.513144\pi\) | |||||||
\(212\) | −0.488588 | + | 1.50372i | −0.0335564 | + | 0.103276i | ||||
\(213\) | −2.66207 | − | 8.19300i | −0.182402 | − | 0.561375i | ||||
\(214\) | 1.62188 | − | 1.17837i | 0.110870 | − | 0.0805515i | ||||
\(215\) | −0.0851847 | + | 0.0618903i | −0.00580955 | + | 0.00422088i | ||||
\(216\) | 1.21234 | + | 3.73119i | 0.0824890 | + | 0.253875i | ||||
\(217\) | 0.548341 | − | 1.68762i | 0.0372238 | − | 0.114563i | ||||
\(218\) | 1.44552 | + | 1.05023i | 0.0979027 | + | 0.0711304i | ||||
\(219\) | 10.8455 | 0.732870 | ||||||||
\(220\) | 1.75399 | − | 0.593279i | 0.118254 | − | 0.0399989i | ||||
\(221\) | 30.5219 | 2.05312 | ||||||||
\(222\) | 5.91326 | + | 4.29623i | 0.396872 | + | 0.288344i | ||||
\(223\) | −6.91530 | + | 21.2831i | −0.463083 | + | 1.42522i | 0.398294 | + | 0.917258i | \(0.369602\pi\) |
−0.861377 | + | 0.507965i | \(0.830398\pi\) | |||||||
\(224\) | −0.309017 | − | 0.951057i | −0.0206471 | − | 0.0635451i | ||||
\(225\) | −9.44130 | + | 6.85951i | −0.629420 | + | 0.457300i | ||||
\(226\) | 9.41765 | − | 6.84232i | 0.626453 | − | 0.455145i | ||||
\(227\) | 3.58583 | + | 11.0361i | 0.238000 | + | 0.732489i | 0.996709 | + | 0.0810593i | \(0.0258303\pi\) |
−0.758709 | + | 0.651429i | \(0.774170\pi\) | |||||||
\(228\) | 0.623636 | − | 1.91936i | 0.0413013 | − | 0.127112i | ||||
\(229\) | −0.209447 | − | 0.152172i | −0.0138407 | − | 0.0100558i | 0.580843 | − | 0.814015i | \(-0.302723\pi\) |
−0.594684 | + | 0.803959i | \(0.702723\pi\) | |||||||
\(230\) | −3.22378 | −0.212570 | ||||||||
\(231\) | 1.37019 | − | 1.93432i | 0.0901517 | − | 0.127269i | ||||
\(232\) | 6.24660 | 0.410110 | ||||||||
\(233\) | 22.7970 | + | 16.5630i | 1.49348 | + | 1.08508i | 0.972888 | + | 0.231276i | \(0.0742901\pi\) |
0.520596 | + | 0.853803i | \(0.325710\pi\) | |||||||
\(234\) | 3.49094 | − | 10.7440i | 0.228210 | − | 0.702357i | ||||
\(235\) | −2.03838 | − | 6.27349i | −0.132969 | − | 0.409237i | ||||
\(236\) | −7.48451 | + | 5.43781i | −0.487200 | + | 0.353972i | ||||
\(237\) | 1.20693 | − | 0.876887i | 0.0783986 | − | 0.0569599i | ||||
\(238\) | −2.07822 | − | 6.39609i | −0.134711 | − | 0.414597i | ||||
\(239\) | 1.49298 | − | 4.59492i | 0.0965728 | − | 0.297221i | −0.891088 | − | 0.453831i | \(-0.850057\pi\) |
0.987660 | + | 0.156611i | \(0.0500568\pi\) | |||||||
\(240\) | 0.322808 | + | 0.234534i | 0.0208372 | + | 0.0151391i | ||||
\(241\) | 18.6789 | 1.20321 | 0.601606 | − | 0.798793i | \(-0.294528\pi\) | ||||
0.601606 | + | 0.798793i | \(0.294528\pi\) | |||||||
\(242\) | 3.14703 | − | 10.5402i | 0.202299 | − | 0.677551i | ||||
\(243\) | 15.1027 | 0.968841 | ||||||||
\(244\) | −2.25215 | − | 1.63629i | −0.144179 | − | 0.104752i | ||||
\(245\) | −0.172519 | + | 0.530958i | −0.0110218 | + | 0.0339216i | ||||
\(246\) | −0.991477 | − | 3.05145i | −0.0632143 | − | 0.194553i | ||||
\(247\) | −10.3676 | + | 7.53247i | −0.659672 | + | 0.479280i | ||||
\(248\) | 1.43557 | − | 1.04301i | 0.0911591 | − | 0.0662309i | ||||
\(249\) | −0.750942 | − | 2.31116i | −0.0475890 | − | 0.146464i | ||||
\(250\) | −1.67142 | + | 5.14409i | −0.105710 | + | 0.325341i | ||||
\(251\) | 20.1283 | + | 14.6241i | 1.27049 | + | 0.923062i | 0.999222 | − | 0.0394426i | \(-0.0125582\pi\) |
0.271264 | + | 0.962505i | \(0.412558\pi\) | |||||||
\(252\) | −2.48918 | −0.156804 | ||||||||
\(253\) | −11.0703 | + | 15.6281i | −0.695983 | + | 0.982531i | ||||
\(254\) | −10.9244 | −0.685457 | ||||||||
\(255\) | 2.17096 | + | 1.57730i | 0.135951 | + | 0.0987742i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 0.00467362 | + | 0.0143839i | 0.000291532 | + | 0.000897244i | 0.951202 | − | 0.308568i | \(-0.0998499\pi\) |
−0.950911 | + | 0.309466i | \(0.899850\pi\) | |||||||
\(258\) | −0.109054 | + | 0.0792323i | −0.00678940 | + | 0.00493279i | ||||
\(259\) | −8.27359 | + | 6.01112i | −0.514096 | + | 0.373513i | ||||
\(260\) | −0.782958 | − | 2.40970i | −0.0485570 | − | 0.149443i | ||||
\(261\) | 4.80489 | − | 14.7879i | 0.297415 | − | 0.915349i | ||||
\(262\) | −0.672519 | − | 0.488613i | −0.0415483 | − | 0.0301866i | ||||
\(263\) | −29.4195 | −1.81409 | −0.907043 | − | 0.421039i | \(-0.861666\pi\) | ||||
−0.907043 | + | 0.421039i | \(0.861666\pi\) | |||||||
\(264\) | 2.24547 | − | 0.759519i | 0.138199 | − | 0.0467452i | ||||
\(265\) | 0.882702 | 0.0542240 | ||||||||
\(266\) | 2.28441 | + | 1.65972i | 0.140066 | + | 0.101764i | ||||
\(267\) | −1.85589 | + | 5.71183i | −0.113578 | + | 0.349559i | ||||
\(268\) | 1.04129 | + | 3.20475i | 0.0636068 | + | 0.195762i | ||||
\(269\) | −9.58929 | + | 6.96703i | −0.584670 | + | 0.424787i | −0.840405 | − | 0.541960i | \(-0.817683\pi\) |
0.255735 | + | 0.966747i | \(0.417683\pi\) | |||||||
\(270\) | 1.77195 | − | 1.28740i | 0.107838 | − | 0.0783485i | ||||
\(271\) | 5.29727 | + | 16.3033i | 0.321786 | + | 0.990356i | 0.972870 | + | 0.231351i | \(0.0743145\pi\) |
−0.651084 | + | 0.759006i | \(0.725686\pi\) | |||||||
\(272\) | 2.07822 | − | 6.39609i | 0.126010 | − | 0.387820i | ||||
\(273\) | −2.62418 | − | 1.90658i | −0.158822 | − | 0.115391i | ||||
\(274\) | 4.10246 | 0.247839 | ||||||||
\(275\) | 9.29008 | + | 12.4691i | 0.560213 | + | 0.751915i | ||||
\(276\) | −4.12710 | −0.248422 | ||||||||
\(277\) | −7.96132 | − | 5.78424i | −0.478349 | − | 0.347541i | 0.322337 | − | 0.946625i | \(-0.395532\pi\) |
−0.800686 | + | 0.599084i | \(0.795532\pi\) | |||||||
\(278\) | −2.13939 | + | 6.58436i | −0.128312 | + | 0.394903i | ||||
\(279\) | −1.36492 | − | 4.20079i | −0.0817156 | − | 0.251495i | ||||
\(280\) | −0.451659 | + | 0.328150i | −0.0269918 | + | 0.0196107i | ||||
\(281\) | −1.75688 | + | 1.27645i | −0.104807 | + | 0.0761465i | −0.638954 | − | 0.769245i | \(-0.720633\pi\) |
0.534148 | + | 0.845391i | \(0.320633\pi\) | |||||||
\(282\) | −2.60954 | − | 8.03135i | −0.155396 | − | 0.478260i | ||||
\(283\) | 8.40244 | − | 25.8601i | 0.499473 | − | 1.53722i | −0.310394 | − | 0.950608i | \(-0.600461\pi\) |
0.809867 | − | 0.586613i | \(-0.199539\pi\) | |||||||
\(284\) | 9.75128 | + | 7.08472i | 0.578632 | + | 0.420401i | ||||
\(285\) | −1.12669 | −0.0667391 | ||||||||
\(286\) | −14.3703 | − | 4.47918i | −0.849732 | − | 0.264859i | ||||
\(287\) | 4.48918 | 0.264988 | ||||||||
\(288\) | −2.01379 | − | 1.46310i | −0.118664 | − | 0.0862143i | ||||
\(289\) | 8.72324 | − | 26.8474i | 0.513132 | − | 1.57926i | ||||
\(290\) | −1.07765 | − | 3.31668i | −0.0632821 | − | 0.194762i | ||||
\(291\) | 4.85167 | − | 3.52494i | 0.284410 | − | 0.206636i | ||||
\(292\) | −12.2765 | + | 8.91938i | −0.718427 | + | 0.521967i | ||||
\(293\) | −6.04710 | − | 18.6111i | −0.353275 | − | 1.08727i | −0.957003 | − | 0.290079i | \(-0.906319\pi\) |
0.603728 | − | 0.797191i | \(-0.293681\pi\) | |||||||
\(294\) | −0.220859 | + | 0.679734i | −0.0128808 | + | 0.0396429i | ||||
\(295\) | 4.17846 | + | 3.03583i | 0.243280 | + | 0.176753i | ||||
\(296\) | −10.2267 | −0.594416 | ||||||||
\(297\) | −0.156211 | − | 13.0108i | −0.00906431 | − | 0.754966i | ||||
\(298\) | −13.8400 | −0.801729 | ||||||||
\(299\) | 21.2018 | + | 15.4040i | 1.22613 | + | 0.890836i | ||||
\(300\) | −1.03546 | + | 3.18681i | −0.0597822 | + | 0.183991i | ||||
\(301\) | −0.0582818 | − | 0.179373i | −0.00335931 | − | 0.0103389i | ||||
\(302\) | 6.95078 | − | 5.05004i | 0.399973 | − | 0.290597i | ||||
\(303\) | −4.93704 | + | 3.58697i | −0.283626 | + | 0.206066i | ||||
\(304\) | 0.872566 | + | 2.68548i | 0.0500451 | + | 0.154023i | ||||
\(305\) | −0.480260 | + | 1.47809i | −0.0274996 | + | 0.0846350i | ||||
\(306\) | −13.5432 | − | 9.83975i | −0.774216 | − | 0.562501i | ||||
\(307\) | −29.9321 | −1.70831 | −0.854157 | − | 0.520015i | \(-0.825926\pi\) | ||||
−0.854157 | + | 0.520015i | \(0.825926\pi\) | |||||||
\(308\) | 0.0398173 | + | 3.31639i | 0.00226880 | + | 0.188969i | ||||
\(309\) | 6.34577 | 0.360998 | ||||||||
\(310\) | −0.801455 | − | 0.582291i | −0.0455196 | − | 0.0330719i | ||||
\(311\) | −6.00059 | + | 18.4679i | −0.340262 | + | 1.04722i | 0.623809 | + | 0.781577i | \(0.285584\pi\) |
−0.964071 | + | 0.265643i | \(0.914416\pi\) | |||||||
\(312\) | −1.00235 | − | 3.08491i | −0.0567467 | − | 0.174648i | ||||
\(313\) | −22.8339 | + | 16.5898i | −1.29065 | + | 0.937712i | −0.999818 | − | 0.0190617i | \(-0.993932\pi\) |
−0.290832 | + | 0.956774i | \(0.593932\pi\) | |||||||
\(314\) | 11.2575 | − | 8.17906i | 0.635298 | − | 0.461571i | ||||
\(315\) | 0.429430 | + | 1.32165i | 0.0241956 | + | 0.0744665i | ||||
\(316\) | −0.645022 | + | 1.98517i | −0.0362853 | + | 0.111675i | ||||
\(317\) | 1.36647 | + | 0.992802i | 0.0767489 | + | 0.0557613i | 0.625498 | − | 0.780226i | \(-0.284896\pi\) |
−0.548749 | + | 0.835987i | \(0.684896\pi\) | |||||||
\(318\) | 1.13004 | 0.0633695 | ||||||||
\(319\) | −19.7791 | − | 6.16509i | −1.10742 | − | 0.345179i | ||||
\(320\) | −0.558282 | −0.0312089 | ||||||||
\(321\) | −1.15918 | − | 0.842197i | −0.0646994 | − | 0.0470068i | ||||
\(322\) | 1.78441 | − | 5.49184i | 0.0994412 | − | 0.306049i | ||||
\(323\) | 5.86823 | + | 18.0605i | 0.326517 | + | 1.00492i | ||||
\(324\) | −3.77291 | + | 2.74118i | −0.209606 | + | 0.152288i | ||||
\(325\) | 17.2138 | − | 12.5066i | 0.954852 | − | 0.693741i | ||||
\(326\) | −4.88690 | − | 15.0403i | −0.270660 | − | 0.833007i | ||||
\(327\) | 0.394621 | − | 1.21452i | 0.0218226 | − | 0.0671631i | ||||
\(328\) | 3.63182 | + | 2.63868i | 0.200534 | + | 0.145696i | ||||
\(329\) | 11.8154 | 0.651405 | ||||||||
\(330\) | −0.790657 | − | 1.06122i | −0.0435243 | − | 0.0584181i | ||||
\(331\) | −24.7036 | −1.35783 | −0.678917 | − | 0.734215i | \(-0.737550\pi\) | ||||
−0.678917 | + | 0.734215i | \(0.737550\pi\) | |||||||
\(332\) | 2.75074 | + | 1.99853i | 0.150966 | + | 0.109683i | ||||
\(333\) | −7.86639 | + | 24.2103i | −0.431076 | + | 1.32671i | ||||
\(334\) | −5.06012 | − | 15.5734i | −0.276877 | − | 0.852141i | ||||
\(335\) | 1.52195 | − | 1.10576i | 0.0831528 | − | 0.0604141i | ||||
\(336\) | −0.578217 | + | 0.420099i | −0.0315443 | + | 0.0229183i | ||||
\(337\) | −7.42295 | − | 22.8455i | −0.404354 | − | 1.24447i | −0.921434 | − | 0.388536i | \(-0.872981\pi\) |
0.517080 | − | 0.855937i | \(-0.327019\pi\) | |||||||
\(338\) | −2.34762 | + | 7.22524i | −0.127694 | + | 0.393001i | ||||
\(339\) | −6.73094 | − | 4.89031i | −0.365574 | − | 0.265605i | ||||
\(340\) | −3.75458 | −0.203621 | ||||||||
\(341\) | −5.57496 | + | 1.88571i | −0.301901 | + | 0.102117i | ||||
\(342\) | 7.02866 | 0.380067 | ||||||||
\(343\) | −0.809017 | − | 0.587785i | −0.0436828 | − | 0.0317374i | ||||
\(344\) | 0.0582818 | − | 0.179373i | 0.00314234 | − | 0.00967114i | ||||
\(345\) | 0.712001 | + | 2.19131i | 0.0383329 | + | 0.117976i | ||||
\(346\) | −15.5533 | + | 11.3002i | −0.836152 | + | 0.607500i | ||||
\(347\) | 2.79064 | − | 2.02752i | 0.149809 | − | 0.108843i | −0.510356 | − | 0.859963i | \(-0.670486\pi\) |
0.660165 | + | 0.751121i | \(0.270486\pi\) | |||||||
\(348\) | −1.37962 | − | 4.24603i | −0.0739554 | − | 0.227611i | ||||
\(349\) | 1.57351 | − | 4.84277i | 0.0842281 | − | 0.259227i | −0.900069 | − | 0.435748i | \(-0.856484\pi\) |
0.984297 | + | 0.176520i | \(0.0564841\pi\) | |||||||
\(350\) | −3.79293 | − | 2.75573i | −0.202741 | − | 0.147300i | ||||
\(351\) | −17.8051 | −0.950364 | ||||||||
\(352\) | −1.91711 | + | 2.70642i | −0.102182 | + | 0.144252i | ||||
\(353\) | 1.00284 | 0.0533756 | 0.0266878 | − | 0.999644i | \(-0.491504\pi\) | ||||
0.0266878 | + | 0.999644i | \(0.491504\pi\) | |||||||
\(354\) | 5.34929 | + | 3.88649i | 0.284312 | + | 0.206564i | ||||
\(355\) | 2.07941 | − | 6.39976i | 0.110364 | − | 0.339664i | ||||
\(356\) | −2.59668 | − | 7.99176i | −0.137624 | − | 0.423563i | ||||
\(357\) | −3.88865 | + | 2.82527i | −0.205809 | + | 0.149529i | ||||
\(358\) | 1.80672 | − | 1.31266i | 0.0954883 | − | 0.0693763i | ||||
\(359\) | −1.53401 | − | 4.72119i | −0.0809618 | − | 0.249175i | 0.902380 | − | 0.430942i | \(-0.141818\pi\) |
−0.983342 | + | 0.181767i | \(0.941818\pi\) | |||||||
\(360\) | −0.429430 | + | 1.32165i | −0.0226330 | + | 0.0696571i | ||||
\(361\) | 8.92087 | + | 6.48139i | 0.469520 | + | 0.341126i | ||||
\(362\) | 19.6439 | 1.03246 | ||||||||
\(363\) | −7.85960 | + | 0.188756i | −0.412522 | + | 0.00990711i | ||||
\(364\) | 4.53840 | 0.237877 | ||||||||
\(365\) | 6.85373 | + | 4.97953i | 0.358741 | + | 0.260641i | ||||
\(366\) | −0.614831 | + | 1.89225i | −0.0321377 | + | 0.0989097i | ||||
\(367\) | −8.40714 | − | 25.8745i | −0.438849 | − | 1.35064i | −0.889091 | − | 0.457731i | \(-0.848662\pi\) |
0.450242 | − | 0.892907i | \(-0.351338\pi\) | |||||||
\(368\) | 4.67164 | − | 3.39415i | 0.243526 | − | 0.176932i | ||||
\(369\) | 9.04027 | − | 6.56814i | 0.470618 | − | 0.341924i | ||||
\(370\) | 1.76430 | + | 5.42995i | 0.0917215 | + | 0.282290i | ||||
\(371\) | −0.488588 | + | 1.50372i | −0.0253662 | + | 0.0780693i | ||||
\(372\) | −1.02603 | − | 0.745452i | −0.0531970 | − | 0.0386499i | ||||
\(373\) | 27.7238 | 1.43549 | 0.717743 | − | 0.696308i | \(-0.245175\pi\) | ||||
0.717743 | + | 0.696308i | \(0.245175\pi\) | |||||||
\(374\) | −12.8930 | + | 18.2013i | −0.666683 | + | 0.941168i | ||||
\(375\) | 3.86576 | 0.199627 | ||||||||
\(376\) | 9.55888 | + | 6.94493i | 0.492961 | + | 0.358157i | ||||
\(377\) | −8.76050 | + | 26.9621i | −0.451189 | + | 1.38862i | ||||
\(378\) | 1.21234 | + | 3.73119i | 0.0623558 | + | 0.191912i | ||||
\(379\) | −6.42003 | + | 4.66443i | −0.329775 | + | 0.239595i | −0.740335 | − | 0.672238i | \(-0.765333\pi\) |
0.410560 | + | 0.911833i | \(0.365333\pi\) | |||||||
\(380\) | 1.27534 | − | 0.926591i | 0.0654238 | − | 0.0475331i | ||||
\(381\) | 2.41275 | + | 7.42568i | 0.123609 | + | 0.380429i | ||||
\(382\) | 4.30848 | − | 13.2601i | 0.220441 | − | 0.678447i | ||||
\(383\) | 2.56346 | + | 1.86247i | 0.130987 | + | 0.0951676i | 0.651349 | − | 0.758778i | \(-0.274203\pi\) |
−0.520363 | + | 0.853945i | \(0.674203\pi\) | |||||||
\(384\) | −0.714715 | −0.0364727 | ||||||||
\(385\) | 1.75399 | − | 0.593279i | 0.0893916 | − | 0.0302363i | ||||
\(386\) | 11.8353 | 0.602401 | ||||||||
\(387\) | −0.379809 | − | 0.275947i | −0.0193068 | − | 0.0140272i | ||||
\(388\) | −2.59288 | + | 7.98008i | −0.131634 | + | 0.405127i | ||||
\(389\) | −7.18414 | − | 22.1105i | −0.364250 | − | 1.12105i | −0.950449 | − | 0.310880i | \(-0.899376\pi\) |
0.586199 | − | 0.810167i | \(-0.300624\pi\) | |||||||
\(390\) | −1.46503 | + | 1.06441i | −0.0741847 | + | 0.0538984i | ||||
\(391\) | 31.4180 | − | 22.8265i | 1.58887 | − | 1.15439i | ||||
\(392\) | −0.309017 | − | 0.951057i | −0.0156077 | − | 0.0480356i | ||||
\(393\) | −0.183595 | + | 0.565049i | −0.00926117 | + | 0.0285029i | ||||
\(394\) | 5.68773 | + | 4.13238i | 0.286544 | + | 0.208186i | ||||
\(395\) | 1.16532 | 0.0586336 | ||||||||
\(396\) | 4.93240 | + | 6.62025i | 0.247863 | + | 0.332680i | ||||
\(397\) | −24.6203 | −1.23566 | −0.617829 | − | 0.786313i | \(-0.711988\pi\) | ||||
−0.617829 | + | 0.786313i | \(0.711988\pi\) | |||||||
\(398\) | −7.96132 | − | 5.78424i | −0.399065 | − | 0.289938i | ||||
\(399\) | 0.623636 | − | 1.91936i | 0.0312209 | − | 0.0960880i | ||||
\(400\) | −1.44877 | − | 4.45886i | −0.0724386 | − | 0.222943i | ||||
\(401\) | −15.0438 | + | 10.9300i | −0.751254 | + | 0.545818i | −0.896215 | − | 0.443620i | \(-0.853694\pi\) |
0.144962 | + | 0.989437i | \(0.453694\pi\) | |||||||
\(402\) | 1.94840 | − | 1.41560i | 0.0971776 | − | 0.0706036i | ||||
\(403\) | 2.48859 | + | 7.65909i | 0.123965 | + | 0.381526i | ||||
\(404\) | 2.63851 | − | 8.12050i | 0.131271 | − | 0.404010i | ||||
\(405\) | 2.10635 | + | 1.53035i | 0.104665 | + | 0.0760438i | ||||
\(406\) | 6.24660 | 0.310014 | ||||||||
\(407\) | 32.3816 | + | 10.0933i | 1.60510 | + | 0.500305i | ||||
\(408\) | −4.80664 | −0.237964 | ||||||||
\(409\) | −7.09173 | − | 5.15244i | −0.350663 | − | 0.254772i | 0.398484 | − | 0.917175i | \(-0.369536\pi\) |
−0.749147 | + | 0.662404i | \(0.769536\pi\) | |||||||
\(410\) | 0.774467 | − | 2.38357i | 0.0382482 | − | 0.117716i | ||||
\(411\) | −0.906065 | − | 2.78858i | −0.0446929 | − | 0.137551i | ||||
\(412\) | −7.18305 | + | 5.21879i | −0.353884 | + | 0.257112i | ||||
\(413\) | −7.48451 | + | 5.43781i | −0.368289 | + | 0.267577i | ||||
\(414\) | −4.44172 | − | 13.6702i | −0.218299 | − | 0.671854i | ||||
\(415\) | 0.586580 | − | 1.80531i | 0.0287941 | − | 0.0886190i | ||||
\(416\) | 3.67164 | + | 2.66760i | 0.180017 | + | 0.130790i | ||||
\(417\) | 4.94812 | 0.242310 | ||||||||
\(418\) | −0.112432 | − | 9.36443i | −0.00549921 | − | 0.458029i | ||||
\(419\) | 8.74219 | 0.427084 | 0.213542 | − | 0.976934i | \(-0.431500\pi\) | ||||
0.213542 | + | 0.976934i | \(0.431500\pi\) | |||||||
\(420\) | 0.322808 | + | 0.234534i | 0.0157514 | + | 0.0114441i | ||||
\(421\) | 1.43937 | − | 4.42993i | 0.0701507 | − | 0.215902i | −0.909835 | − | 0.414971i | \(-0.863792\pi\) |
0.979985 | + | 0.199069i | \(0.0637918\pi\) | |||||||
\(422\) | 4.97250 | + | 15.3038i | 0.242058 | + | 0.744977i | ||||
\(423\) | 23.7938 | − | 17.2872i | 1.15689 | − | 0.840532i | ||||
\(424\) | −1.27914 | + | 0.929350i | −0.0621206 | + | 0.0451332i | ||||
\(425\) | −9.74335 | − | 29.9869i | −0.472622 | − | 1.45458i | ||||
\(426\) | 2.66207 | − | 8.19300i | 0.128978 | − | 0.396952i | ||||
\(427\) | −2.25215 | − | 1.63629i | −0.108989 | − | 0.0791854i | ||||
\(428\) | 2.00476 | 0.0969037 | ||||||||
\(429\) | 0.129154 | + | 10.7572i | 0.00623561 | + | 0.519364i | ||||
\(430\) | −0.105294 | −0.00507773 | ||||||||
\(431\) | 20.6008 | + | 14.9673i | 0.992305 | + | 0.720952i | 0.960425 | − | 0.278540i | \(-0.0898504\pi\) |
0.0318804 | + | 0.999492i | \(0.489850\pi\) | |||||||
\(432\) | −1.21234 | + | 3.73119i | −0.0583285 | + | 0.179517i | ||||
\(433\) | 6.20532 | + | 19.0980i | 0.298208 | + | 0.917791i | 0.982125 | + | 0.188231i | \(0.0602753\pi\) |
−0.683916 | + | 0.729560i | \(0.739725\pi\) | |||||||
\(434\) | 1.43557 | − | 1.04301i | 0.0689098 | − | 0.0500659i | ||||
\(435\) | −2.01645 | + | 1.46504i | −0.0966815 | + | 0.0702432i | ||||
\(436\) | 0.552138 | + | 1.69931i | 0.0264426 | + | 0.0813820i | ||||
\(437\) | −5.03861 | + | 15.5072i | −0.241029 | + | 0.741812i | ||||
\(438\) | 8.77418 | + | 6.37482i | 0.419247 | + | 0.304601i | ||||
\(439\) | 5.87482 | 0.280390 | 0.140195 | − | 0.990124i | \(-0.455227\pi\) | ||||
0.140195 | + | 0.990124i | \(0.455227\pi\) | |||||||
\(440\) | 1.76773 | + | 0.550997i | 0.0842732 | + | 0.0262677i | ||||
\(441\) | −2.48918 | −0.118532 | ||||||||
\(442\) | 24.6927 | + | 17.9403i | 1.17451 | + | 0.853333i | ||||
\(443\) | 3.95058 | − | 12.1586i | 0.187698 | − | 0.577674i | −0.812287 | − | 0.583258i | \(-0.801778\pi\) |
0.999984 | + | 0.00558450i | \(0.00177761\pi\) | |||||||
\(444\) | 2.25866 | + | 6.95145i | 0.107191 | + | 0.329901i | ||||
\(445\) | −3.79531 | + | 2.75745i | −0.179915 | + | 0.130716i | ||||
\(446\) | −18.1045 | + | 13.1537i | −0.857273 | + | 0.622845i | ||||
\(447\) | 3.05669 | + | 9.40752i | 0.144576 | + | 0.444961i | ||||
\(448\) | 0.309017 | − | 0.951057i | 0.0145997 | − | 0.0449332i | ||||
\(449\) | −26.5207 | − | 19.2684i | −1.25159 | − | 0.909333i | −0.253276 | − | 0.967394i | \(-0.581508\pi\) |
−0.998313 | + | 0.0580611i | \(0.981508\pi\) | |||||||
\(450\) | −11.6701 | −0.550133 | ||||||||
\(451\) | −8.89547 | − | 11.9395i | −0.418872 | − | 0.562208i | ||||
\(452\) | 11.6409 | 0.547540 | ||||||||
\(453\) | −4.96783 | − | 3.60934i | −0.233409 | − | 0.169582i | ||||
\(454\) | −3.58583 | + | 11.0361i | −0.168291 | + | 0.517948i | ||||
\(455\) | −0.782958 | − | 2.40970i | −0.0367056 | − | 0.112968i | ||||
\(456\) | 1.63270 | − | 1.18623i | 0.0764582 | − | 0.0555502i | ||||
\(457\) | 1.27919 | − | 0.929388i | 0.0598381 | − | 0.0434750i | −0.557464 | − | 0.830201i | \(-0.688226\pi\) |
0.617302 | + | 0.786726i | \(0.288226\pi\) | |||||||
\(458\) | −0.0800018 | − | 0.246220i | −0.00373824 | − | 0.0115051i | ||||
\(459\) | −8.15326 | + | 25.0932i | −0.380562 | + | 1.17125i | ||||
\(460\) | −2.60809 | − | 1.89489i | −0.121603 | − | 0.0883497i | ||||
\(461\) | 13.5215 | 0.629757 | 0.314879 | − | 0.949132i | \(-0.398036\pi\) | ||||
0.314879 | + | 0.949132i | \(0.398036\pi\) | |||||||
\(462\) | 2.24547 | − | 0.759519i | 0.104469 | − | 0.0353360i | ||||
\(463\) | −31.6964 | −1.47306 | −0.736528 | − | 0.676407i | \(-0.763536\pi\) | ||||
−0.736528 | + | 0.676407i | \(0.763536\pi\) | |||||||
\(464\) | 5.05361 | + | 3.67166i | 0.234608 | + | 0.170453i | ||||
\(465\) | −0.218795 | + | 0.673381i | −0.0101464 | + | 0.0312273i | ||||
\(466\) | 8.70769 | + | 26.7995i | 0.403376 | + | 1.24146i | ||||
\(467\) | 13.2803 | − | 9.64872i | 0.614540 | − | 0.446490i | −0.236470 | − | 0.971639i | \(-0.575990\pi\) |
0.851010 | + | 0.525149i | \(0.175990\pi\) | |||||||
\(468\) | 9.13939 | − | 6.64015i | 0.422468 | − | 0.306941i | ||||
\(469\) | 1.04129 | + | 3.20475i | 0.0480822 | + | 0.147982i | ||||
\(470\) | 2.03838 | − | 6.27349i | 0.0940234 | − | 0.289374i | ||||
\(471\) | −8.04591 | − | 5.84570i | −0.370736 | − | 0.269355i | ||||
\(472\) | −9.25136 | −0.425828 | ||||||||
\(473\) | −0.361574 | + | 0.510441i | −0.0166252 | + | 0.0234701i | ||||
\(474\) | 1.49185 | 0.0685229 | ||||||||
\(475\) | 10.7100 | + | 7.78130i | 0.491410 | + | 0.357031i | ||||
\(476\) | 2.07822 | − | 6.39609i | 0.0952549 | − | 0.293164i | ||||
\(477\) | 1.21619 | + | 3.74303i | 0.0556853 | + | 0.171382i | ||||
\(478\) | 3.90867 | − | 2.83982i | 0.178778 | − | 0.129890i | ||||
\(479\) | −9.13939 | + | 6.64015i | −0.417589 | + | 0.303396i | −0.776667 | − | 0.629911i | \(-0.783091\pi\) |
0.359078 | + | 0.933308i | \(0.383091\pi\) | |||||||
\(480\) | 0.123302 | + | 0.379483i | 0.00562792 | + | 0.0173210i | ||||
\(481\) | 14.3424 | − | 44.1413i | 0.653957 | − | 2.01267i | ||||
\(482\) | 15.1115 | + | 10.9792i | 0.688311 | + | 0.500087i | ||||
\(483\) | −4.12710 | −0.187789 | ||||||||
\(484\) | 8.74139 | − | 6.67743i | 0.397336 | − | 0.303520i | ||||
\(485\) | 4.68440 | 0.212708 | ||||||||
\(486\) | 12.2184 | + | 8.87716i | 0.554236 | + | 0.402676i | ||||
\(487\) | −11.3257 | + | 34.8571i | −0.513219 | + | 1.57952i | 0.273281 | + | 0.961934i | \(0.411891\pi\) |
−0.786500 | + | 0.617590i | \(0.788109\pi\) | |||||||
\(488\) | −0.860246 | − | 2.64756i | −0.0389415 | − | 0.119850i | ||||
\(489\) | −9.14411 | + | 6.64359i | −0.413511 | + | 0.300433i | ||||
\(490\) | −0.451659 | + | 0.328150i | −0.0204039 | + | 0.0148243i | ||||
\(491\) | −13.3120 | − | 40.9701i | −0.600762 | − | 1.84895i | −0.523653 | − | 0.851932i | \(-0.675431\pi\) |
−0.0771088 | − | 0.997023i | \(-0.524569\pi\) | |||||||
\(492\) | 0.991477 | − | 3.05145i | 0.0446992 | − | 0.137570i | ||||
\(493\) | 33.9868 | + | 24.6928i | 1.53069 | + | 1.11211i | ||||
\(494\) | −12.8150 | −0.576574 | ||||||||
\(495\) | 2.66414 | − | 3.76101i | 0.119744 | − | 0.169045i | ||||
\(496\) | 1.77447 | 0.0796759 | ||||||||
\(497\) | 9.75128 | + | 7.08472i | 0.437405 | + | 0.317793i | ||||
\(498\) | 0.750942 | − | 2.31116i | 0.0336505 | − | 0.103566i | ||||
\(499\) | −6.65029 | − | 20.4675i | −0.297708 | − | 0.916250i | −0.982298 | − | 0.187323i | \(-0.940019\pi\) |
0.684591 | − | 0.728928i | \(-0.259981\pi\) | |||||||
\(500\) | −4.37582 | + | 3.17922i | −0.195693 | + | 0.142179i | ||||
\(501\) | −9.46823 | + | 6.87907i | −0.423009 | + | 0.307334i | ||||
\(502\) | 7.68832 | + | 23.6622i | 0.343147 | + | 1.05610i | ||||
\(503\) | −0.386584 | + | 1.18978i | −0.0172369 | + | 0.0530498i | −0.959305 | − | 0.282372i | \(-0.908879\pi\) |
0.942068 | + | 0.335422i | \(0.108879\pi\) | |||||||
\(504\) | −2.01379 | − | 1.46310i | −0.0897014 | − | 0.0651719i | ||||
\(505\) | −4.76683 | −0.212121 | ||||||||
\(506\) | −18.1420 | + | 6.13646i | −0.806511 | + | 0.272799i | ||||
\(507\) | 5.42974 | 0.241143 | ||||||||
\(508\) | −8.83802 | − | 6.42119i | −0.392124 | − | 0.284894i | ||||
\(509\) | 5.83597 | − | 17.9613i | 0.258675 | − | 0.796120i | −0.734408 | − | 0.678708i | \(-0.762540\pi\) |
0.993083 | − | 0.117412i | \(-0.0374597\pi\) | |||||||
\(510\) | 0.829234 | + | 2.55212i | 0.0367191 | + | 0.113010i | ||||
\(511\) | −12.2765 | + | 8.91938i | −0.543079 | + | 0.394570i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −3.42325 | − | 10.5357i | −0.151140 | − | 0.465162i | ||||
\(514\) | −0.00467362 | + | 0.0143839i | −0.000206144 | + | 0.000634447i | ||||
\(515\) | 4.01017 | + | 2.91356i | 0.176709 | + | 0.128387i | ||||
\(516\) | −0.134798 | −0.00593415 | ||||||||
\(517\) | −23.4127 | − | 31.4244i | −1.02969 | − | 1.38204i | ||||
\(518\) | −10.2267 | −0.449336 | ||||||||
\(519\) | 11.1162 | + | 8.07639i | 0.487947 | + | 0.354514i | ||||
\(520\) | 0.782958 | − | 2.40970i | 0.0343350 | − | 0.105672i | ||||
\(521\) | 3.81847 | + | 11.7520i | 0.167290 | + | 0.514866i | 0.999198 | − | 0.0400480i | \(-0.0127511\pi\) |
−0.831908 | + | 0.554914i | \(0.812751\pi\) | |||||||
\(522\) | 12.5794 | − | 9.13943i | 0.550583 | − | 0.400022i | ||||
\(523\) | 34.4876 | − | 25.0567i | 1.50804 | − | 1.09565i | 0.540997 | − | 0.841024i | \(-0.318047\pi\) |
0.967039 | − | 0.254628i | \(-0.0819530\pi\) | |||||||
\(524\) | −0.256879 | − | 0.790593i | −0.0112218 | − | 0.0345372i | ||||
\(525\) | −1.03546 | + | 3.18681i | −0.0451911 | + | 0.139084i | ||||
\(526\) | −23.8009 | − | 17.2924i | −1.03777 | − | 0.753983i | ||||
\(527\) | 11.9337 | 0.519842 | ||||||||
\(528\) | 2.26306 | + | 0.705389i | 0.0984869 | + | 0.0306981i | ||||
\(529\) | 10.3445 | 0.449760 | ||||||||
\(530\) | 0.714121 | + | 0.518839i | 0.0310194 | + | 0.0225369i | ||||
\(531\) | −7.11614 | + | 21.9012i | −0.308814 | + | 0.950433i | ||||
\(532\) | 0.872566 | + | 2.68548i | 0.0378306 | + | 0.116430i | ||||
\(533\) | −16.4827 | + | 11.9754i | −0.713944 | + | 0.518710i | ||||
\(534\) | −4.85878 | + | 3.53011i | −0.210260 | + | 0.152763i | ||||
\(535\) | −0.345858 | − | 1.06444i | −0.0149527 | − | 0.0460198i | ||||
\(536\) | −1.04129 | + | 3.20475i | −0.0449768 | + | 0.138424i | ||||
\(537\) | −1.29129 | − | 0.938178i | −0.0557234 | − | 0.0404854i | ||||
\(538\) | −11.8530 | −0.511020 | ||||||||
\(539\) | 0.0398173 | + | 3.31639i | 0.00171505 | + | 0.142847i | ||||
\(540\) | 2.19025 | 0.0942534 | ||||||||
\(541\) | 22.5180 | + | 16.3602i | 0.968122 | + | 0.703382i | 0.955023 | − | 0.296532i | \(-0.0958302\pi\) |
0.0130995 | + | 0.999914i | \(0.495830\pi\) | |||||||
\(542\) | −5.29727 | + | 16.3033i | −0.227537 | + | 0.700288i | ||||
\(543\) | −4.33853 | − | 13.3526i | −0.186184 | − | 0.573015i | ||||
\(544\) | 5.44084 | − | 3.95300i | 0.233274 | − | 0.169484i | ||||
\(545\) | 0.807005 | − | 0.586323i | 0.0345683 | − | 0.0251153i | ||||
\(546\) | −1.00235 | − | 3.08491i | −0.0428965 | − | 0.132022i | ||||
\(547\) | −1.99389 | + | 6.13656i | −0.0852525 | + | 0.262380i | −0.984591 | − | 0.174873i | \(-0.944049\pi\) |
0.899339 | + | 0.437253i | \(0.144049\pi\) | |||||||
\(548\) | 3.31896 | + | 2.41136i | 0.141779 | + | 0.103008i | ||||
\(549\) | −6.92942 | −0.295741 | ||||||||
\(550\) | 0.186677 | + | 15.5483i | 0.00795991 | + | 0.662981i | ||||
\(551\) | −17.6384 | −0.751423 | ||||||||
\(552\) | −3.33889 | − | 2.42585i | −0.142113 | − | 0.103251i | ||||
\(553\) | −0.645022 | + | 1.98517i | −0.0274291 | + | 0.0844181i | ||||
\(554\) | −3.04095 | − | 9.35909i | −0.129198 | − | 0.397630i | ||||
\(555\) | 3.30127 | − | 2.39851i | 0.140131 | − | 0.101811i | ||||
\(556\) | −5.60099 | + | 4.06936i | −0.237535 | + | 0.172579i | ||||
\(557\) | 2.23775 | + | 6.88707i | 0.0948163 | + | 0.291815i | 0.987206 | − | 0.159451i | \(-0.0509725\pi\) |
−0.892389 | + | 0.451266i | \(0.850973\pi\) | |||||||
\(558\) | 1.36492 | − | 4.20079i | 0.0577817 | − | 0.177834i | ||||
\(559\) | 0.692486 | + | 0.503120i | 0.0292890 | + | 0.0212797i | ||||
\(560\) | −0.558282 | −0.0235917 | ||||||||
\(561\) | 15.2196 | + | 4.74392i | 0.642573 | + | 0.200288i | ||||
\(562\) | −2.17162 | −0.0916044 | ||||||||
\(563\) | −0.360476 | − | 0.261901i | −0.0151923 | − | 0.0110378i | 0.580163 | − | 0.814500i | \(-0.302989\pi\) |
−0.595355 | + | 0.803462i | \(0.702989\pi\) | |||||||
\(564\) | 2.60954 | − | 8.03135i | 0.109882 | − | 0.338181i | ||||
\(565\) | −2.00826 | − | 6.18080i | −0.0844883 | − | 0.260028i | ||||
\(566\) | 21.9979 | − | 15.9824i | 0.924640 | − | 0.671790i | ||||
\(567\) | −3.77291 | + | 2.74118i | −0.158447 | + | 0.115119i | ||||
\(568\) | 3.72466 | + | 11.4633i | 0.156283 | + | 0.480990i | ||||
\(569\) | −6.10141 | + | 18.7782i | −0.255784 | + | 0.787223i | 0.737890 | + | 0.674921i | \(0.235822\pi\) |
−0.993674 | + | 0.112302i | \(0.964178\pi\) | |||||||
\(570\) | −0.911507 | − | 0.662249i | −0.0381788 | − | 0.0277386i | ||||
\(571\) | 6.23141 | 0.260777 | 0.130388 | − | 0.991463i | \(-0.458378\pi\) | ||||
0.130388 | + | 0.991463i | \(0.458378\pi\) | |||||||
\(572\) | −8.99300 | − | 12.0704i | −0.376016 | − | 0.504687i | ||||
\(573\) | −9.96493 | −0.416291 | ||||||||
\(574\) | 3.63182 | + | 2.63868i | 0.151589 | + | 0.110136i | ||||
\(575\) | 8.36588 | − | 25.7475i | 0.348881 | − | 1.07375i | ||||
\(576\) | −0.769200 | − | 2.36735i | −0.0320500 | − | 0.0986397i | ||||
\(577\) | −3.40176 | + | 2.47153i | −0.141617 | + | 0.102891i | −0.656338 | − | 0.754467i | \(-0.727896\pi\) |
0.514721 | + | 0.857358i | \(0.327896\pi\) | |||||||
\(578\) | 22.8377 | − | 16.5926i | 0.949925 | − | 0.690161i | ||||
\(579\) | −2.61393 | − | 8.04486i | −0.108631 | − | 0.334333i | ||||
\(580\) | 1.07765 | − | 3.31668i | 0.0447472 | − | 0.137718i | ||||
\(581\) | 2.75074 | + | 1.99853i | 0.114120 | + | 0.0829128i | ||||
\(582\) | 5.99699 | 0.248583 | ||||||||
\(583\) | 4.96746 | − | 1.68022i | 0.205731 | − | 0.0695877i | ||||
\(584\) | −15.1746 | −0.627928 | ||||||||
\(585\) | −5.10235 | − | 3.70708i | −0.210956 | − | 0.153269i | ||||
\(586\) | 6.04710 | − | 18.6111i | 0.249803 | − | 0.768815i | ||||
\(587\) | −10.9277 | − | 33.6319i | −0.451033 | − | 1.38814i | −0.875730 | − | 0.482801i | \(-0.839619\pi\) |
0.424697 | − | 0.905336i | \(-0.360381\pi\) | |||||||
\(588\) | −0.578217 | + | 0.420099i | −0.0238453 | + | 0.0173246i | ||||
\(589\) | −4.05361 | + | 2.94512i | −0.167026 | + | 0.121352i | ||||
\(590\) | 1.59603 | + | 4.91208i | 0.0657076 | + | 0.202227i | ||||
\(591\) | 1.55273 | − | 4.77882i | 0.0638709 | − | 0.196574i | ||||
\(592\) | −8.27359 | − | 6.01112i | −0.340042 | − | 0.247055i | ||||
\(593\) | −22.1812 | −0.910872 | −0.455436 | − | 0.890269i | \(-0.650517\pi\) | ||||
−0.455436 | + | 0.890269i | \(0.650517\pi\) | |||||||
\(594\) | 7.52121 | − | 10.6178i | 0.308599 | − | 0.435654i | ||||
\(595\) | −3.75458 | −0.153923 | ||||||||
\(596\) | −11.1968 | − | 8.13495i | −0.458638 | − | 0.333220i | ||||
\(597\) | −2.17341 | + | 6.68908i | −0.0889520 | + | 0.273766i | ||||
\(598\) | 8.09836 | + | 24.9242i | 0.331167 | + | 1.01923i | ||||
\(599\) | 9.97681 | − | 7.24858i | 0.407641 | − | 0.296169i | −0.365005 | − | 0.931006i | \(-0.618933\pi\) |
0.772646 | + | 0.634837i | \(0.218933\pi\) | |||||||
\(600\) | −2.71087 | + | 1.96956i | −0.110671 | + | 0.0804069i | ||||
\(601\) | 14.9291 | + | 45.9469i | 0.608969 | + | 1.87421i | 0.466776 | + | 0.884375i | \(0.345415\pi\) |
0.142193 | + | 0.989839i | \(0.454585\pi\) | |||||||
\(602\) | 0.0582818 | − | 0.179373i | 0.00237539 | − | 0.00731069i | ||||
\(603\) | 6.78583 | + | 4.93019i | 0.276340 | + | 0.200773i | ||||
\(604\) | 8.59164 | 0.349589 | ||||||||
\(605\) | −5.05349 | − | 3.48932i | −0.205453 | − | 0.141861i | ||||
\(606\) | −6.10252 | −0.247898 | ||||||||
\(607\) | −8.47604 | − | 6.15820i | −0.344032 | − | 0.249954i | 0.402329 | − | 0.915495i | \(-0.368201\pi\) |
−0.746361 | + | 0.665541i | \(0.768201\pi\) | |||||||
\(608\) | −0.872566 | + | 2.68548i | −0.0353872 | + | 0.108911i | ||||
\(609\) | −1.37962 | − | 4.24603i | −0.0559050 | − | 0.172058i | ||||
\(610\) | −1.25734 | + | 0.913508i | −0.0509081 | + | 0.0369869i | ||||
\(611\) | −43.3820 | + | 31.5189i | −1.75505 | + | 1.27512i | ||||
\(612\) | −5.17306 | − | 15.9210i | −0.209109 | − | 0.643570i | ||||
\(613\) | −1.19709 | + | 3.68428i | −0.0483502 | + | 0.148807i | −0.972317 | − | 0.233667i | \(-0.924928\pi\) |
0.923967 | + | 0.382473i | \(0.124928\pi\) | |||||||
\(614\) | −24.2156 | − | 17.5936i | −0.977261 | − | 0.710022i | ||||
\(615\) | −1.79124 | −0.0722297 | ||||||||
\(616\) | −1.91711 | + | 2.70642i | −0.0772426 | + | 0.109045i | ||||
\(617\) | 13.1950 | 0.531211 | 0.265606 | − | 0.964082i | \(-0.414428\pi\) | ||||
0.265606 | + | 0.964082i | \(0.414428\pi\) | |||||||
\(618\) | 5.13384 | + | 3.72995i | 0.206513 | + | 0.150041i | ||||
\(619\) | 0.838351 | − | 2.58018i | 0.0336962 | − | 0.103706i | −0.932794 | − | 0.360410i | \(-0.882637\pi\) |
0.966490 | + | 0.256704i | \(0.0826366\pi\) | |||||||
\(620\) | −0.306129 | − | 0.942167i | −0.0122944 | − | 0.0378383i | ||||
\(621\) | −18.3278 | + | 13.3159i | −0.735469 | + | 0.534350i | ||||
\(622\) | −15.7098 | + | 11.4138i | −0.629904 | + | 0.457652i | ||||
\(623\) | −2.59668 | − | 7.99176i | −0.104034 | − | 0.320183i | ||||
\(624\) | 1.00235 | − | 3.08491i | 0.0401260 | − | 0.123495i | ||||
\(625\) | −16.5217 | − | 12.0037i | −0.660869 | − | 0.480149i | ||||
\(626\) | −28.2243 | −1.12807 | ||||||||
\(627\) | −6.34049 | + | 2.14464i | −0.253215 | + | 0.0856488i | ||||
\(628\) | 13.9150 | 0.555271 | ||||||||
\(629\) | −55.6420 | − | 40.4263i | −2.21859 | − | 1.61190i | ||||
\(630\) | −0.429430 | + | 1.32165i | −0.0171089 | + | 0.0526558i | ||||
\(631\) | −6.71151 | − | 20.6559i | −0.267181 | − | 0.822299i | −0.991183 | − | 0.132501i | \(-0.957699\pi\) |
0.724002 | − | 0.689798i | \(-0.242301\pi\) | |||||||
\(632\) | −1.68869 | + | 1.22690i | −0.0671724 | + | 0.0488036i | ||||
\(633\) | 9.30429 | − | 6.75996i | 0.369812 | − | 0.268684i | ||||
\(634\) | 0.521947 | + | 1.60639i | 0.0207292 | + | 0.0637978i | ||||
\(635\) | −1.88466 | + | 5.80039i | −0.0747904 | + | 0.230181i | ||||
\(636\) | 0.914221 | + | 0.664221i | 0.0362512 | + | 0.0263381i | ||||
\(637\) | 4.53840 | 0.179818 | ||||||||
\(638\) | −12.3779 | − | 16.6135i | −0.490044 | − | 0.657735i | ||||
\(639\) | 30.0027 | 1.18689 | ||||||||
\(640\) | −0.451659 | − | 0.328150i | −0.0178534 | − | 0.0129713i | ||||
\(641\) | −11.4078 | + | 35.1095i | −0.450580 | + | 1.38674i | 0.425667 | + | 0.904880i | \(0.360040\pi\) |
−0.876247 | + | 0.481863i | \(0.839960\pi\) | |||||||
\(642\) | −0.442769 | − | 1.36270i | −0.0174747 | − | 0.0537816i | ||||
\(643\) | 32.0697 | − | 23.3000i | 1.26470 | − | 0.918861i | 0.265726 | − | 0.964049i | \(-0.414388\pi\) |
0.998979 | + | 0.0451872i | \(0.0143884\pi\) | |||||||
\(644\) | 4.67164 | − | 3.39415i | 0.184088 | − | 0.133748i | ||||
\(645\) | 0.0232552 | + | 0.0715720i | 0.000915671 | + | 0.00281815i | ||||
\(646\) | −5.86823 | + | 18.0605i | −0.230882 | + | 0.710583i | ||||
\(647\) | −8.22058 | − | 5.97260i | −0.323184 | − | 0.234807i | 0.414349 | − | 0.910118i | \(-0.364009\pi\) |
−0.737533 | + | 0.675311i | \(0.764009\pi\) | |||||||
\(648\) | −4.66358 | −0.183203 | ||||||||
\(649\) | 29.2933 | + | 9.13064i | 1.14986 | + | 0.358409i | ||||
\(650\) | 21.2775 | 0.834571 | ||||||||
\(651\) | −1.02603 | − | 0.745452i | −0.0402131 | − | 0.0292166i | ||||
\(652\) | 4.88690 | − | 15.0403i | 0.191386 | − | 0.589025i | ||||
\(653\) | −1.94784 | − | 5.99484i | −0.0762250 | − | 0.234596i | 0.905683 | − | 0.423956i | \(-0.139359\pi\) |
−0.981908 | + | 0.189360i | \(0.939359\pi\) | |||||||
\(654\) | 1.03313 | − | 0.750614i | 0.0403986 | − | 0.0293513i | ||||
\(655\) | −0.375455 | + | 0.272784i | −0.0146702 | + | 0.0106586i | ||||
\(656\) | 1.38723 | + | 4.26947i | 0.0541624 | + | 0.166695i | ||||
\(657\) | −11.6723 | + | 35.9235i | −0.455379 | + | 1.40151i | ||||
\(658\) | 9.55888 | + | 6.94493i | 0.372644 | + | 0.270742i | ||||
\(659\) | 28.8155 | 1.12249 | 0.561246 | − | 0.827649i | \(-0.310322\pi\) | ||||
0.561246 | + | 0.827649i | \(0.310322\pi\) | |||||||
\(660\) | −0.0158876 | − | 1.32328i | −0.000618425 | − | 0.0515086i | ||||
\(661\) | 18.1283 | 0.705109 | 0.352554 | − | 0.935791i | \(-0.385313\pi\) | ||||
0.352554 | + | 0.935791i | \(0.385313\pi\) | |||||||
\(662\) | −19.9856 | − | 14.5204i | −0.776764 | − | 0.564352i | ||||
\(663\) | 6.74103 | − | 20.7468i | 0.261800 | − | 0.805738i | ||||
\(664\) | 1.05069 | + | 3.23368i | 0.0407746 | + | 0.125491i | ||||
\(665\) | 1.27534 | − | 0.926591i | 0.0494557 | − | 0.0359317i | ||||
\(666\) | −20.5945 | + | 14.9628i | −0.798020 | + | 0.579795i | ||||
\(667\) | 11.1465 | + | 34.3054i | 0.431594 | + | 1.32831i | ||||
\(668\) | 5.06012 | − | 15.5734i | 0.195782 | − | 0.602555i | ||||
\(669\) | 12.9396 | + | 9.40114i | 0.500272 | + | 0.363469i | ||||
\(670\) | 1.88123 | 0.0726782 | ||||||||
\(671\) | 0.110844 | + | 9.23220i | 0.00427909 | + | 0.356405i | ||||
\(672\) | −0.714715 | −0.0275707 | ||||||||
\(673\) | −22.7227 | − | 16.5090i | −0.875897 | − | 0.636376i | 0.0562660 | − | 0.998416i | \(-0.482081\pi\) |
−0.932163 | + | 0.362040i | \(0.882081\pi\) | |||||||
\(674\) | 7.42295 | − | 22.8455i | 0.285921 | − | 0.879976i | ||||
\(675\) | 5.68382 | + | 17.4930i | 0.218770 | + | 0.673306i | ||||
\(676\) | −6.14616 | + | 4.46544i | −0.236391 | + | 0.171748i | ||||
\(677\) | 3.72525 | − | 2.70655i | 0.143173 | − | 0.104021i | −0.513893 | − | 0.857854i | \(-0.671797\pi\) |
0.657066 | + | 0.753833i | \(0.271797\pi\) | |||||||
\(678\) | −2.57099 | − | 7.91269i | −0.0987383 | − | 0.303885i | ||||
\(679\) | −2.59288 | + | 7.98008i | −0.0995058 | + | 0.306247i | ||||
\(680\) | −3.03752 | − | 2.20689i | −0.116484 | − | 0.0846304i | ||||
\(681\) | 8.29355 | 0.317809 | ||||||||
\(682\) | −5.61863 | − | 1.75131i | −0.215148 | − | 0.0670612i | ||||
\(683\) | −43.3341 | −1.65813 | −0.829067 | − | 0.559150i | \(-0.811128\pi\) | ||||
−0.829067 | + | 0.559150i | \(0.811128\pi\) | |||||||
\(684\) | 5.68631 | + | 4.13135i | 0.217421 | + | 0.157966i | ||||
\(685\) | 0.707750 | − | 2.17823i | 0.0270417 | − | 0.0832259i | ||||
\(686\) | −0.309017 | − | 0.951057i | −0.0117983 | − | 0.0363115i | ||||
\(687\) | −0.149695 | + | 0.108760i | −0.00571123 | + | 0.00414945i | ||||
\(688\) | 0.152584 | − | 0.110859i | 0.00581720 | − | 0.00422644i | ||||
\(689\) | −2.21741 | − | 6.82448i | −0.0844766 | − | 0.259992i | ||||
\(690\) | −0.712001 | + | 2.19131i | −0.0271054 | + | 0.0834219i | ||||
\(691\) | −18.0642 | − | 13.1244i | −0.687196 | − | 0.499277i | 0.188541 | − | 0.982065i | \(-0.439624\pi\) |
−0.875737 | + | 0.482788i | \(0.839624\pi\) | |||||||
\(692\) | −19.2250 | −0.730824 | ||||||||
\(693\) | 4.93240 | + | 6.62025i | 0.187367 | + | 0.251483i | ||||
\(694\) | 3.44942 | 0.130938 | ||||||||
\(695\) | 3.12693 | + | 2.27185i | 0.118611 | + | 0.0861761i | ||||
\(696\) | 1.37962 | − | 4.24603i | 0.0522943 | − | 0.160945i | ||||
\(697\) | 9.32949 | + | 28.7132i | 0.353380 | + | 1.08759i | ||||
\(698\) | 4.11950 | − | 2.99300i | 0.155926 | − | 0.113287i | ||||
\(699\) | 16.2934 | − | 11.8378i | 0.616273 | − | 0.447748i | ||||
\(700\) | −1.44877 | − | 4.45886i | −0.0547584 | − | 0.168529i | ||||
\(701\) | −11.3779 | + | 35.0177i | −0.429739 | + | 1.32260i | 0.468644 | + | 0.883387i | \(0.344743\pi\) |
−0.898383 | + | 0.439213i | \(0.855257\pi\) | |||||||
\(702\) | −14.4046 | − | 10.4655i | −0.543666 | − | 0.394997i | ||||
\(703\) | 28.8770 | 1.08912 | ||||||||
\(704\) | −3.14177 | + | 1.06269i | −0.118410 | + | 0.0400516i | ||||
\(705\) | −4.71450 | −0.177558 | ||||||||
\(706\) | 0.811311 | + | 0.589452i | 0.0305341 | + | 0.0221843i | ||||
\(707\) | 2.63851 | − | 8.12050i | 0.0992314 | − | 0.305403i | ||||
\(708\) | 2.04325 | + | 6.28847i | 0.0767899 | + | 0.236335i | ||||
\(709\) | −16.7642 | + | 12.1799i | −0.629591 | + | 0.457425i | −0.856259 | − | 0.516547i | \(-0.827217\pi\) |
0.226667 | + | 0.973972i | \(0.427217\pi\) | |||||||
\(710\) | 5.44396 | − | 3.95527i | 0.204308 | − | 0.148439i | ||||
\(711\) | 1.60558 | + | 4.94146i | 0.0602138 | + | 0.185319i | ||||
\(712\) | 2.59668 | − | 7.99176i | 0.0973147 | − | 0.299504i | ||||
\(713\) | 8.28968 | + | 6.02280i | 0.310451 | + | 0.225556i | ||||
\(714\) | −4.80664 | −0.179884 | ||||||||
\(715\) | −4.85739 | + | 6.85726i | −0.181656 | + | 0.256447i | ||||
\(716\) | 2.23323 | 0.0834598 | ||||||||
\(717\) | −2.79359 | − | 2.02966i | −0.104328 | − | 0.0757990i | ||||
\(718\) | 1.53401 | − | 4.72119i | 0.0572487 | − | 0.176193i | ||||
\(719\) | 14.7970 | + | 45.5404i | 0.551835 | + | 1.69837i | 0.704160 | + | 0.710042i | \(0.251324\pi\) |
−0.152325 | + | 0.988330i | \(0.548676\pi\) | |||||||
\(720\) | −1.12426 | + | 0.816825i | −0.0418988 | + | 0.0304413i | ||||
\(721\) | −7.18305 | + | 5.21879i | −0.267511 | + | 0.194358i | ||||
\(722\) | 3.40747 | + | 10.4871i | 0.126813 | + | 0.390290i | ||||
\(723\) | 4.12540 | − | 12.6967i | 0.153425 | − | 0.472194i | ||||
\(724\) | 15.8922 | + | 11.5464i | 0.590630 | + | 0.429118i | ||||
\(725\) | 29.2861 | 1.08766 | ||||||||
\(726\) | −6.46950 | − | 4.46705i | −0.240106 | − | 0.165788i | ||||
\(727\) | 8.09538 | 0.300241 | 0.150121 | − | 0.988668i | \(-0.452034\pi\) | ||||
0.150121 | + | 0.988668i | \(0.452034\pi\) | |||||||
\(728\) | 3.67164 | + | 2.66760i | 0.136080 | + | 0.0988680i | ||||
\(729\) | −0.987797 | + | 3.04013i | −0.0365851 | + | 0.112597i | ||||
\(730\) | 2.61789 | + | 8.05705i | 0.0968926 | + | 0.298205i | ||||
\(731\) | 1.02616 | − | 0.745552i | 0.0379540 | − | 0.0275752i | ||||
\(732\) | −1.60965 | + | 1.16948i | −0.0594943 | + | 0.0432251i | ||||
\(733\) | −2.04475 | − | 6.29309i | −0.0755246 | − | 0.232441i | 0.906166 | − | 0.422921i | \(-0.138995\pi\) |
−0.981691 | + | 0.190481i | \(0.938995\pi\) | |||||||
\(734\) | 8.40714 | − | 25.8745i | 0.310313 | − | 0.955045i | ||||
\(735\) | 0.322808 | + | 0.234534i | 0.0119069 | + | 0.00865090i | ||||
\(736\) | 5.77447 | 0.212850 | ||||||||
\(737\) | 6.46004 | − | 9.11975i | 0.237959 | − | 0.335930i | ||||
\(738\) | 11.1744 | 0.411335 | ||||||||
\(739\) | −6.81191 | − | 4.94914i | −0.250580 | − | 0.182057i | 0.455404 | − | 0.890285i | \(-0.349495\pi\) |
−0.705984 | + | 0.708228i | \(0.749495\pi\) | |||||||
\(740\) | −1.76430 | + | 5.42995i | −0.0648569 | + | 0.199609i | ||||
\(741\) | 2.83031 | + | 8.71080i | 0.103974 | + | 0.319999i | ||||
\(742\) | −1.27914 | + | 0.929350i | −0.0469587 | + | 0.0341175i | ||||
\(743\) | 18.5732 | − | 13.4942i | 0.681385 | − | 0.495055i | −0.192432 | − | 0.981310i | \(-0.561637\pi\) |
0.873817 | + | 0.486255i | \(0.161637\pi\) | |||||||
\(744\) | −0.391907 | − | 1.20617i | −0.0143680 | − | 0.0442202i | ||||
\(745\) | −2.38766 | + | 7.34845i | −0.0874770 | + | 0.269226i | ||||
\(746\) | 22.4291 | + | 16.2957i | 0.821186 | + | 0.596627i | ||||
\(747\) | 8.46346 | 0.309662 | ||||||||
\(748\) | −21.1292 | + | 7.14684i | −0.772559 | + | 0.261314i | ||||
\(749\) | 2.00476 | 0.0732523 | ||||||||
\(750\) | 3.12747 | + | 2.27224i | 0.114199 | + | 0.0829704i | ||||
\(751\) | 6.41238 | − | 19.7353i | 0.233991 | − | 0.720151i | −0.763262 | − | 0.646089i | \(-0.776404\pi\) |
0.997254 | − | 0.0740623i | \(-0.0235964\pi\) | |||||||
\(752\) | 3.65117 | + | 11.2371i | 0.133144 | + | 0.409776i | ||||
\(753\) | 14.3860 | − | 10.4520i | 0.524255 | − | 0.380893i | ||||
\(754\) | −22.9353 | + | 16.6635i | −0.835254 | + | 0.606848i | ||||
\(755\) | −1.48222 | − | 4.56180i | −0.0539434 | − | 0.166021i | ||||
\(756\) | −1.21234 | + | 3.73119i | −0.0440922 | + | 0.135702i | ||||
\(757\) | 16.8579 | + | 12.2480i | 0.612711 | + | 0.445160i | 0.850368 | − | 0.526189i | \(-0.176379\pi\) |
−0.237657 | + | 0.971349i | \(0.576379\pi\) | |||||||
\(758\) | −7.93559 | −0.288234 | ||||||||
\(759\) | 8.17799 | + | 10.9765i | 0.296842 | + | 0.398421i | ||||
\(760\) | 1.57641 | 0.0571825 | ||||||||
\(761\) | −8.33326 | − | 6.05447i | −0.302080 | − | 0.219474i | 0.426410 | − | 0.904530i | \(-0.359778\pi\) |
−0.728491 | + | 0.685056i | \(0.759778\pi\) | |||||||
\(762\) | −2.41275 | + | 7.42568i | −0.0874047 | + | 0.269004i | ||||
\(763\) | 0.552138 | + | 1.69931i | 0.0199887 | + | 0.0615190i | ||||
\(764\) | 11.2797 | − | 8.19521i | 0.408086 | − | 0.296492i | ||||
\(765\) | −7.56095 | + | 5.49335i | −0.273367 | + | 0.198613i | ||||
\(766\) | 0.979156 | + | 3.01353i | 0.0353784 | + | 0.108883i | ||||
\(767\) | 12.9745 | − | 39.9314i | 0.468482 | − | 1.44184i | ||||
\(768\) | −0.578217 | − | 0.420099i | −0.0208646 | − | 0.0151590i | ||||
\(769\) | 14.0069 | 0.505100 | 0.252550 | − | 0.967584i | \(-0.418731\pi\) | ||||
0.252550 | + | 0.967584i | \(0.418731\pi\) | |||||||
\(770\) | 1.76773 | + | 0.550997i | 0.0637045 | + | 0.0198565i | ||||
\(771\) | 0.0108095 | 0.000389293 | ||||||||
\(772\) | 9.57496 | + | 6.95662i | 0.344610 | + | 0.250374i | ||||
\(773\) | 3.88519 | − | 11.9574i | 0.139741 | − | 0.430077i | −0.856557 | − | 0.516053i | \(-0.827401\pi\) |
0.996297 | + | 0.0859758i | \(0.0274008\pi\) | |||||||
\(774\) | −0.145074 | − | 0.446492i | −0.00521458 | − | 0.0160488i | ||||
\(775\) | 6.73043 | − | 4.88995i | 0.241764 | − | 0.175652i | ||||
\(776\) | −6.78826 | + | 4.93196i | −0.243684 | + | 0.177047i | ||||
\(777\) | 2.25866 | + | 6.95145i | 0.0810291 | + | 0.249382i | ||||
\(778\) | 7.18414 | − | 22.1105i | 0.257564 | − | 0.792700i | ||||
\(779\) | −10.2551 | − | 7.45079i | −0.367428 | − | 0.266952i | ||||
\(780\) | −1.81088 | −0.0648398 | ||||||||
\(781\) | −0.479928 | − | 39.9732i | −0.0171732 | − | 1.43035i | ||||
\(782\) | 38.8347 | 1.38873 | ||||||||
\(783\) | −19.8263 | − | 14.4047i | −0.708535 | − | 0.514781i | ||||
\(784\) | 0.309017 | − | 0.951057i | 0.0110363 | − | 0.0339663i | ||||
\(785\) | −2.40060 | − | 7.38830i | −0.0856812 | − | 0.263700i | ||||
\(786\) | −0.480659 | + | 0.349219i | −0.0171445 | + | 0.0124562i | ||||
\(787\) | −18.8065 | + | 13.6637i | −0.670380 | + | 0.487060i | −0.870152 | − | 0.492783i | \(-0.835980\pi\) |
0.199772 | + | 0.979842i | \(0.435980\pi\) | |||||||
\(788\) | 2.17252 | + | 6.68632i | 0.0773928 | + | 0.238190i | ||||
\(789\) | −6.49757 | + | 19.9975i | −0.231320 | + | 0.711928i | ||||
\(790\) | 0.942764 | + | 0.684958i | 0.0335420 | + | 0.0243697i | ||||
\(791\) | 11.6409 | 0.413901 | ||||||||
\(792\) | 0.0991126 | + | 8.25509i | 0.00352181 | + | 0.293332i | ||||
\(793\) | 12.6341 | 0.448649 | ||||||||
\(794\) | −19.9182 | − | 14.4715i | −0.706872 | − | 0.513573i | ||||
\(795\) | 0.194953 | − | 0.600003i | 0.00691426 | − | 0.0212799i | ||||
\(796\) | −3.04095 | − | 9.35909i | −0.107784 | − | 0.331724i | ||||
\(797\) | 10.9994 | − | 7.99156i | 0.389620 | − | 0.283075i | −0.375680 | − | 0.926750i | \(-0.622591\pi\) |
0.765300 | + | 0.643674i | \(0.222591\pi\) | |||||||
\(798\) | 1.63270 | − | 1.18623i | 0.0577970 | − | 0.0419920i | ||||
\(799\) | 24.5550 | + | 75.5725i | 0.868694 | + | 2.67356i | ||||
\(800\) | 1.44877 | − | 4.45886i | 0.0512218 | − | 0.157644i | ||||
\(801\) | −16.9220 | − | 12.2945i | −0.597908 | − | 0.434406i | ||||
\(802\) | −18.5952 | −0.656620 | ||||||||
\(803\) | 48.0483 | + | 14.9766i | 1.69559 | + | 0.528511i | ||||
\(804\) | 2.40836 | 0.0849363 | ||||||||
\(805\) | −2.60809 | − | 1.89489i | −0.0919232 | − | 0.0667861i | ||||
\(806\) | −2.48859 | + | 7.65909i | −0.0876568 | + | 0.269780i | ||||
\(807\) | 2.61785 | + | 8.05690i | 0.0921526 | + | 0.283616i | ||||
\(808\) | 6.90771 | − | 5.01875i | 0.243012 | − | 0.176559i | ||||
\(809\) | −11.9024 | + | 8.64763i | −0.418468 | + | 0.304035i | −0.777021 | − | 0.629475i | \(-0.783270\pi\) |
0.358553 | + | 0.933509i | \(0.383270\pi\) | |||||||
\(810\) | 0.804553 | + | 2.47616i | 0.0282691 | + | 0.0870034i | ||||
\(811\) | 0.555728 | − | 1.71036i | 0.0195143 | − | 0.0600587i | −0.940825 | − | 0.338892i | \(-0.889948\pi\) |
0.960339 | + | 0.278834i | \(0.0899478\pi\) | |||||||
\(812\) | 5.05361 | + | 3.67166i | 0.177347 | + | 0.128850i | ||||
\(813\) | 12.2519 | 0.429692 | ||||||||
\(814\) | 20.2646 | + | 27.1991i | 0.710274 | + | 0.953327i | ||||
\(815\) | −8.82886 | −0.309261 | ||||||||
\(816\) | −3.88865 | − | 2.82527i | −0.136130 | − | 0.0989043i | ||||
\(817\) | −0.164569 | + | 0.506492i | −0.00575755 | + | 0.0177199i | ||||
\(818\) | −2.70880 | − | 8.33682i | −0.0947109 | − | 0.291490i | ||||
\(819\) | 9.13939 | − | 6.64015i | 0.319356 | − | 0.232026i | ||||
\(820\) | 2.02758 | − | 1.47312i | 0.0708062 | − | 0.0514437i | ||||
\(821\) | −2.30160 | − | 7.08359i | −0.0803263 | − | 0.247219i | 0.902826 | − | 0.430005i | \(-0.141488\pi\) |
−0.983153 | + | 0.182786i | \(0.941488\pi\) | |||||||
\(822\) | 0.906065 | − | 2.78858i | 0.0316027 | − | 0.0972630i | ||||
\(823\) | 18.4185 | + | 13.3818i | 0.642030 | + | 0.466462i | 0.860547 | − | 0.509371i | \(-0.170122\pi\) |
−0.218517 | + | 0.975833i | \(0.570122\pi\) | |||||||
\(824\) | −8.87874 | −0.309306 | ||||||||
\(825\) | 10.5275 | − | 3.56087i | 0.366520 | − | 0.123974i | ||||
\(826\) | −9.25136 | −0.321896 | ||||||||
\(827\) | −10.8072 | − | 7.85190i | −0.375804 | − | 0.273037i | 0.383810 | − | 0.923412i | \(-0.374612\pi\) |
−0.759613 | + | 0.650375i | \(0.774612\pi\) | |||||||
\(828\) | 4.44172 | − | 13.6702i | 0.154360 | − | 0.475072i | ||||
\(829\) | −4.10956 | − | 12.6479i | −0.142731 | − | 0.439281i | 0.853981 | − | 0.520304i | \(-0.174181\pi\) |
−0.996712 | + | 0.0810229i | \(0.974181\pi\) | |||||||
\(830\) | 1.53569 | − | 1.11574i | 0.0533044 | − | 0.0387279i | ||||
\(831\) | −5.69007 | + | 4.13408i | −0.197386 | + | 0.143410i | ||||
\(832\) | 1.40244 | + | 4.31627i | 0.0486209 | + | 0.149640i | ||||
\(833\) | 2.07822 | − | 6.39609i | 0.0720059 | − | 0.221611i | ||||
\(834\) | 4.00311 | + | 2.90843i | 0.138616 | + | 0.100711i | ||||
\(835\) | −9.14180 | −0.316365 | ||||||||
\(836\) | 5.41331 | − | 7.64207i | 0.187223 | − | 0.264306i | ||||
\(837\) | −6.96159 | −0.240628 | ||||||||
\(838\) | 7.07258 | + | 5.13853i | 0.244318 | + | 0.177508i | ||||
\(839\) | −8.27914 | + | 25.4806i | −0.285828 | + | 0.879687i | 0.700322 | + | 0.713827i | \(0.253040\pi\) |
−0.986149 | + | 0.165860i | \(0.946960\pi\) | |||||||
\(840\) | 0.123302 | + | 0.379483i | 0.00425431 | + | 0.0130934i | ||||
\(841\) | −8.10639 | + | 5.88964i | −0.279531 | + | 0.203091i | ||||
\(842\) | 3.76832 | − | 2.73785i | 0.129865 | − | 0.0943524i | ||||
\(843\) | 0.479623 | + | 1.47613i | 0.0165191 | + | 0.0508405i | ||||
\(844\) | −4.97250 | + | 15.3038i | −0.171161 | + | 0.526778i | ||||
\(845\) | 3.43129 | + | 2.49298i | 0.118040 | + | 0.0857610i | ||||
\(846\) | 29.4107 | 1.01116 | ||||||||
\(847\) | 8.74139 | − | 6.67743i | 0.300358 | − | 0.229439i | ||||
\(848\) | −1.58111 | −0.0542954 | ||||||||
\(849\) | −15.7222 | − | 11.4229i | −0.539585 | − | 0.392032i | ||||
\(850\) | 9.74335 | − | 29.9869i | 0.334194 | − | 1.02854i | ||||
\(851\) | −18.2486 | − | 56.1636i | −0.625556 | − | 1.92526i | ||||
\(852\) | 6.96938 | − | 5.06355i | 0.238767 | − | 0.173475i | ||||
\(853\) | 42.0513 | − | 30.5521i | 1.43981 | − | 1.04608i | 0.451726 | − | 0.892157i | \(-0.350808\pi\) |
0.988082 | − | 0.153926i | \(-0.0491917\pi\) | |||||||
\(854\) | −0.860246 | − | 2.64756i | −0.0294370 | − | 0.0905978i | ||||
\(855\) | 1.21258 | − | 3.73192i | 0.0414692 | − | 0.127629i | ||||
\(856\) | 1.62188 | + | 1.17837i | 0.0554348 | + | 0.0402758i | ||||
\(857\) | −24.2963 | −0.829945 | −0.414972 | − | 0.909834i | \(-0.636209\pi\) | ||||
−0.414972 | + | 0.909834i | \(0.636209\pi\) | |||||||
\(858\) | −6.21846 | + | 8.77870i | −0.212295 | + | 0.299700i | ||||
\(859\) | −52.9269 | −1.80584 | −0.902921 | − | 0.429807i | \(-0.858582\pi\) | ||||
−0.902921 | + | 0.429807i | \(0.858582\pi\) | |||||||
\(860\) | −0.0851847 | − | 0.0618903i | −0.00290477 | − | 0.00211044i | ||||
\(861\) | 0.991477 | − | 3.05145i | 0.0337894 | − | 0.103993i | ||||
\(862\) | 7.86880 | + | 24.2177i | 0.268012 | + | 0.824857i | ||||
\(863\) | 23.3221 | − | 16.9445i | 0.793893 | − | 0.576797i | −0.115223 | − | 0.993340i | \(-0.536758\pi\) |
0.909116 | + | 0.416543i | \(0.136758\pi\) | |||||||
\(864\) | −3.17394 | + | 2.30600i | −0.107980 | + | 0.0784517i | ||||
\(865\) | 3.31666 | + | 10.2076i | 0.112770 | + | 0.347070i | ||||
\(866\) | −6.20532 | + | 19.0980i | −0.210865 | + | 0.648976i | ||||
\(867\) | −16.3225 | − | 11.8590i | −0.554340 | − | 0.402752i | ||||
\(868\) | 1.77447 | 0.0602293 | ||||||||
\(869\) | 6.55791 | − | 2.21818i | 0.222462 | − | 0.0752468i | ||||
\(870\) | −2.49247 | −0.0845027 | ||||||||
\(871\) | −12.3723 | − | 8.98897i | −0.419218 | − | 0.304580i | ||||
\(872\) | −0.552138 | + | 1.69931i | −0.0186977 | + | 0.0575457i | ||||
\(873\) | 6.45416 | + | 19.8639i | 0.218440 | + | 0.672290i | ||||
\(874\) | −13.1912 | + | 9.58400i | −0.446200 | + | 0.324184i | ||||
\(875\) | −4.37582 | + | 3.17922i | −0.147930 | + | 0.107477i | ||||
\(876\) | 3.35144 | + | 10.3147i | 0.113235 | + | 0.348501i | ||||
\(877\) | −13.8225 | + | 42.5414i | −0.466754 | + | 1.43652i | 0.390010 | + | 0.920811i | \(0.372471\pi\) |
−0.856764 | + | 0.515709i | \(0.827529\pi\) | |||||||
\(878\) | 4.75283 | + | 3.45313i | 0.160400 | + | 0.116538i | ||||
\(879\) | −13.9861 | −0.471740 | ||||||||
\(880\) | 1.10626 | + | 1.48481i | 0.0372919 | + | 0.0500530i | ||||
\(881\) | 12.2826 | 0.413810 | 0.206905 | − | 0.978361i | \(-0.433661\pi\) | ||||
0.206905 | + | 0.978361i | \(0.433661\pi\) | |||||||
\(882\) | −2.01379 | − | 1.46310i | −0.0678079 | − | 0.0492653i | ||||
\(883\) | 15.9180 | − | 48.9907i | 0.535685 | − | 1.64867i | −0.206480 | − | 0.978451i | \(-0.566201\pi\) |
0.742165 | − | 0.670217i | \(-0.233799\pi\) | |||||||
\(884\) | 9.43178 | + | 29.0280i | 0.317225 | + | 0.976318i | ||||
\(885\) | 2.98641 | − | 2.16976i | 0.100387 | − | 0.0729355i | ||||
\(886\) | 10.3427 | − | 7.51444i | 0.347471 | − | 0.252453i | ||||
\(887\) | −3.47023 | − | 10.6803i | −0.116519 | − | 0.358609i | 0.875742 | − | 0.482780i | \(-0.160373\pi\) |
−0.992261 | + | 0.124171i | \(0.960373\pi\) | |||||||
\(888\) | −2.25866 | + | 6.95145i | −0.0757958 | + | 0.233276i | ||||
\(889\) | −8.83802 | − | 6.42119i | −0.296418 | − | 0.215360i | ||||
\(890\) | −4.69126 | −0.157251 | ||||||||
\(891\) | 14.7666 | + | 4.60272i | 0.494701 | + | 0.154197i | ||||
\(892\) | −22.3784 | −0.749284 | ||||||||
\(893\) | −26.9912 | − | 19.6103i | −0.903228 | − | 0.656233i | ||||
\(894\) | −3.05669 | + | 9.40752i | −0.102231 | + | 0.314635i | ||||
\(895\) | −0.385274 | − | 1.18575i | −0.0128783 | − | 0.0396353i | ||||
\(896\) | 0.809017 | − | 0.587785i | 0.0270274 | − | 0.0196365i | ||||
\(897\) | 15.1532 | − | 11.0095i | 0.505952 | − | 0.367595i | ||||
\(898\) | −10.1300 | − | 31.1770i | −0.338043 | − | 1.04039i | ||||
\(899\) | −3.42527 | + | 10.5419i | −0.114239 | + | 0.351592i | ||||
\(900\) | −9.44130 | − | 6.85951i | −0.314710 | − | 0.228650i | ||||
\(901\) | −10.6333 | −0.354248 | ||||||||
\(902\) | −0.178747 | − | 14.8879i | −0.00595163 | − | 0.495712i | ||||
\(903\) | −0.134798 | −0.00448580 | ||||||||
\(904\) | 9.41765 | + | 6.84232i | 0.313226 | + | 0.227572i | ||||
\(905\) | 3.38893 | − | 10.4301i | 0.112652 | − | 0.346707i | ||||
\(906\) | −1.89754 | − | 5.84003i | −0.0630416 | − | 0.194022i | ||||
\(907\) | −11.0319 | + | 8.01514i | −0.366308 | + | 0.266138i | −0.755678 | − | 0.654943i | \(-0.772693\pi\) |
0.389370 | + | 0.921081i | \(0.372693\pi\) | |||||||
\(908\) | −9.38783 | + | 6.82066i | −0.311546 | + | 0.226351i | ||||
\(909\) | −6.56773 | − | 20.2134i | −0.217838 | − | 0.670436i | ||||
\(910\) | 0.782958 | − | 2.40970i | 0.0259548 | − | 0.0798807i | ||||
\(911\) | −2.03121 | − | 1.47576i | −0.0672970 | − | 0.0488941i | 0.553628 | − | 0.832764i | \(-0.313243\pi\) |
−0.620925 | + | 0.783870i | \(0.713243\pi\) | |||||||
\(912\) | 2.01813 | 0.0668270 | ||||||||
\(913\) | −0.135383 | − | 11.2760i | −0.00448052 | − | 0.373182i | ||||
\(914\) | 1.58117 | 0.0523004 | ||||||||
\(915\) | 0.898637 | + | 0.652898i | 0.0297080 | + | 0.0215841i | ||||
\(916\) | 0.0800018 | − | 0.246220i | 0.00264333 | − | 0.00813535i | ||||
\(917\) | −0.256879 | − | 0.790593i | −0.00848290 | − | 0.0261077i | ||||
\(918\) | −21.3455 | + | 15.5084i | −0.704507 | + | 0.511854i | ||||
\(919\) | −20.3875 | + | 14.8124i | −0.672523 | + | 0.488617i | −0.870869 | − | 0.491516i | \(-0.836443\pi\) |
0.198346 | + | 0.980132i | \(0.436443\pi\) | |||||||
\(920\) | −0.996203 | − | 3.06600i | −0.0328438 | − | 0.101083i | ||||
\(921\) | −6.61077 | + | 20.3459i | −0.217832 | + | 0.670419i | ||||
\(922\) | 10.9391 | + | 7.94771i | 0.360260 | + | 0.261744i | ||||
\(923\) | −54.7024 | −1.80055 | ||||||||
\(924\) | 2.26306 | + | 0.705389i | 0.0744491 | + | 0.0232056i | ||||
\(925\) | −47.9462 | −1.57646 | ||||||||
\(926\) | −25.6429 | − | 18.6307i | −0.842678 | − | 0.612241i | ||||
\(927\) | −6.82953 | + | 21.0191i | −0.224311 | + | 0.690358i | ||||
\(928\) | 1.93031 | + | 5.94087i | 0.0633654 | + | 0.195019i | ||||
\(929\) | −25.7393 | + | 18.7007i | −0.844479 | + | 0.613550i | −0.923618 | − | 0.383314i | \(-0.874783\pi\) |
0.0791392 | + | 0.996864i | \(0.474783\pi\) | |||||||
\(930\) | −0.572812 | + | 0.416172i | −0.0187832 | + | 0.0136468i | ||||
\(931\) | 0.872566 | + | 2.68548i | 0.0285972 | + | 0.0880132i | ||||
\(932\) | −8.70769 | + | 26.7995i | −0.285230 | + | 0.877848i | ||||
\(933\) | 11.2280 | + | 8.15762i | 0.367588 | + | 0.267069i | ||||
\(934\) | 16.4154 | 0.537128 | ||||||||
\(935\) | 7.43984 | + | 9.98573i | 0.243309 | + | 0.326568i | ||||
\(936\) | 11.2969 | 0.369251 | ||||||||
\(937\) | −43.7465 | − | 31.7837i | −1.42914 | − | 1.03833i | −0.990177 | − | 0.139822i | \(-0.955347\pi\) |
−0.438960 | − | 0.898507i | \(-0.644653\pi\) | |||||||
\(938\) | −1.04129 | + | 3.20475i | −0.0339993 | + | 0.104639i | ||||
\(939\) | 6.23359 | + | 19.1850i | 0.203426 | + | 0.626080i | ||||
\(940\) | 5.33655 | − | 3.87723i | 0.174059 | − | 0.126461i | ||||
\(941\) | −35.8037 | + | 26.0129i | −1.16717 | + | 0.847997i | −0.990667 | − | 0.136303i | \(-0.956478\pi\) |
−0.176501 | + | 0.984300i | \(0.556478\pi\) | |||||||
\(942\) | −3.07326 | − | 9.45853i | −0.100132 | − | 0.308176i | ||||
\(943\) | −8.01054 | + | 24.6539i | −0.260859 | + | 0.802841i | ||||
\(944\) | −7.48451 | − | 5.43781i | −0.243600 | − | 0.176986i | ||||
\(945\) | 2.19025 | 0.0712489 | ||||||||
\(946\) | −0.592549 | + | 0.200427i | −0.0192654 | + | 0.00651645i | ||||
\(947\) | 9.32918 | 0.303158 | 0.151579 | − | 0.988445i | \(-0.451564\pi\) | ||||
0.151579 | + | 0.988445i | \(0.451564\pi\) | |||||||
\(948\) | 1.20693 | + | 0.876887i | 0.0391993 | + | 0.0284800i | ||||
\(949\) | 21.2815 | − | 65.4976i | 0.690825 | − | 2.12614i | ||||
\(950\) | 4.09087 | + | 12.5904i | 0.132725 | + | 0.408487i | ||||
\(951\) | 0.976640 | − | 0.709571i | 0.0316697 | − | 0.0230094i | ||||
\(952\) | 5.44084 | − | 3.95300i | 0.176339 | − | 0.128118i | ||||
\(953\) | 4.79596 | + | 14.7604i | 0.155356 | + | 0.478138i | 0.998197 | − | 0.0600257i | \(-0.0191183\pi\) |
−0.842840 | + | 0.538164i | \(0.819118\pi\) | |||||||
\(954\) | −1.21619 | + | 3.74303i | −0.0393755 | + | 0.121185i | ||||
\(955\) | −6.29727 | − | 4.57523i | −0.203775 | − | 0.148051i | ||||
\(956\) | 4.83138 | 0.156258 | ||||||||
\(957\) | −8.55902 | + | 12.0829i | −0.276674 | + | 0.390585i | ||||
\(958\) | −11.2969 | −0.364986 | ||||||||
\(959\) | 3.31896 | + | 2.41136i | 0.107175 | + | 0.0778670i | ||||
\(960\) | −0.123302 | + | 0.379483i | −0.00397954 | + | 0.0122478i | ||||
\(961\) | −8.60651 | − | 26.4881i | −0.277629 | − | 0.854456i | ||||
\(962\) | 37.5489 | − | 27.2808i | 1.21062 | − | 0.879570i | ||||
\(963\) | 4.03716 | − | 2.93317i | 0.130096 | − | 0.0945201i | ||||
\(964\) | 5.77209 | + | 17.7647i | 0.185906 | + | 0.572161i | ||||
\(965\) | 2.04181 | − | 6.28404i | 0.0657282 | − | 0.202291i | ||||
\(966\) | −3.33889 | − | 2.42585i | −0.107427 | − | 0.0780504i | ||||
\(967\) | −14.3635 | −0.461897 | −0.230949 | − | 0.972966i | \(-0.574183\pi\) | ||||
−0.230949 | + | 0.972966i | \(0.574183\pi\) | |||||||
\(968\) | 10.9968 | − | 0.264099i | 0.353451 | − | 0.00848847i | ||||
\(969\) | 13.5724 | 0.436009 | ||||||||
\(970\) | 3.78976 | + | 2.75342i | 0.121682 | + | 0.0884071i | ||||
\(971\) | −8.75838 | + | 26.9555i | −0.281070 | + | 0.865044i | 0.706479 | + | 0.707734i | \(0.250282\pi\) |
−0.987549 | + | 0.157310i | \(0.949718\pi\) | |||||||
\(972\) | 4.66700 | + | 14.3636i | 0.149694 | + | 0.460711i | ||||
\(973\) | −5.60099 | + | 4.06936i | −0.179559 | + | 0.130458i | ||||
\(974\) | −29.6512 | + | 21.5429i | −0.950086 | + | 0.690278i | ||||
\(975\) | −4.69932 | − | 14.4630i | −0.150499 | − | 0.463188i | ||||
\(976\) | 0.860246 | − | 2.64756i | 0.0275358 | − | 0.0847465i | ||||
\(977\) | −39.7816 | − | 28.9030i | −1.27273 | − | 0.924690i | −0.273419 | − | 0.961895i | \(-0.588154\pi\) |
−0.999308 | + | 0.0372054i | \(0.988154\pi\) | |||||||
\(978\) | −11.3027 | −0.361422 | ||||||||
\(979\) | −16.1095 | + | 22.7421i | −0.514863 | + | 0.726841i | ||||
\(980\) | −0.558282 | −0.0178337 | ||||||||
\(981\) | 3.59815 | + | 2.61421i | 0.114880 | + | 0.0834653i | ||||
\(982\) | 13.3120 | − | 40.9701i | 0.424803 | − | 1.30741i | ||||
\(983\) | −8.24195 | − | 25.3661i | −0.262877 | − | 0.809053i | −0.992175 | − | 0.124857i | \(-0.960153\pi\) |
0.729297 | − | 0.684197i | \(-0.239847\pi\) | |||||||
\(984\) | 2.59572 | − | 1.88590i | 0.0827485 | − | 0.0601203i | ||||
\(985\) | 3.17535 | − | 2.30703i | 0.101175 | − | 0.0735081i | ||||
\(986\) | 12.9818 | + | 39.9539i | 0.413425 | + | 1.27239i | ||||
\(987\) | 2.60954 | − | 8.03135i | 0.0830627 | − | 0.255641i | ||||
\(988\) | −10.3676 | − | 7.53247i | −0.329836 | − | 0.239640i | ||||
\(989\) | 1.08909 | 0.0346309 | ||||||||
\(990\) | 4.36600 | − | 1.47678i | 0.138761 | − | 0.0469352i | ||||
\(991\) | 36.6057 | 1.16282 | 0.581409 | − | 0.813611i | \(-0.302502\pi\) | ||||
0.581409 | + | 0.813611i | \(0.302502\pi\) | |||||||
\(992\) | 1.43557 | + | 1.04301i | 0.0455795 | + | 0.0331155i | ||||
\(993\) | −5.45602 | + | 16.7919i | −0.173142 | + | 0.532875i | ||||
\(994\) | 3.72466 | + | 11.4633i | 0.118139 | + | 0.363594i | ||||
\(995\) | −4.44466 | + | 3.22923i | −0.140905 | + | 0.102374i | ||||
\(996\) | 1.96599 | − | 1.42838i | 0.0622948 | − | 0.0452598i | ||||
\(997\) | −2.44954 | − | 7.53891i | −0.0775777 | − | 0.238760i | 0.904745 | − | 0.425953i | \(-0.140061\pi\) |
−0.982323 | + | 0.187193i | \(0.940061\pi\) | |||||||
\(998\) | 6.65029 | − | 20.4675i | 0.210511 | − | 0.647887i | ||||
\(999\) | 32.4590 | + | 23.5828i | 1.02696 | + | 0.746127i |
(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 | 154.2.f.e.15.2 | ✓ | 8 | |
11.3 | even | 5 | inner | 154.2.f.e.113.2 | yes | 8 | |
11.5 | even | 5 | 1694.2.a.x.1.3 | 4 | |||
11.6 | odd | 10 | 1694.2.a.z.1.3 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
154.2.f.e.15.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
154.2.f.e.113.2 | yes | 8 | 11.3 | even | 5 | inner | |
1694.2.a.x.1.3 | 4 | 11.5 | even | 5 | |||
1694.2.a.z.1.3 | 4 | 11.6 | odd | 10 |