Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(25,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.q (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Character | \(\chi\) | \(=\) | 216.49 |
Dual form | 216.2.q.b.97.1 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{7}{9}\right)\) |
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 | 0 | ||||||||
\(3\) | −1.70086 | + | 0.327233i | −0.981991 | + | 0.188928i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.34943 | − | 0.491154i | 0.603485 | − | 0.219651i | −0.0221649 | − | 0.999754i | \(-0.507056\pi\) |
0.625650 | + | 0.780104i | \(0.284834\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.111026 | + | 0.629660i | 0.0419639 | + | 0.237989i | 0.998574 | − | 0.0533813i | \(-0.0169999\pi\) |
−0.956610 | + | 0.291370i | \(0.905889\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.78584 | − | 1.11316i | 0.928612 | − | 0.371052i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.56485 | + | 0.933530i | 0.773332 | + | 0.281470i | 0.698390 | − | 0.715718i | \(-0.253900\pi\) |
0.0749429 | + | 0.997188i | \(0.476123\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.51973 | + | 2.95340i | 0.976196 | + | 0.819126i | 0.983511 | − | 0.180847i | \(-0.0578840\pi\) |
−0.00731491 | + | 0.999973i | \(0.502328\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.13447 | + | 1.27696i | −0.551119 | + | 0.329711i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.37496 | − | 2.38149i | 0.333476 | − | 0.577597i | −0.649715 | − | 0.760178i | \(-0.725112\pi\) |
0.983191 | + | 0.182581i | \(0.0584451\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.25118 | + | 3.89915i | 0.516455 | + | 0.894526i | 0.999817 | + | 0.0191061i | \(0.00608202\pi\) |
−0.483362 | + | 0.875420i | \(0.660585\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.394885 | − | 1.03463i | −0.0861710 | − | 0.225775i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.868468 | − | 4.92533i | 0.181088 | − | 1.02700i | −0.749791 | − | 0.661675i | \(-0.769846\pi\) |
0.930879 | − | 0.365327i | \(-0.119043\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.25048 | + | 1.88838i | −0.450096 | + | 0.377676i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.37405 | + | 2.80494i | −0.841787 | + | 0.539810i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.34180 | − | 1.96501i | 0.434862 | − | 0.364893i | −0.398920 | − | 0.916986i | \(-0.630615\pi\) |
0.833783 | + | 0.552093i | \(0.186171\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.510147 | − | 2.89319i | 0.0916251 | − | 0.519632i | −0.904104 | − | 0.427312i | \(-0.859461\pi\) |
0.995729 | − | 0.0923200i | \(-0.0294283\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.66793 | − | 0.748497i | −0.812583 | − | 0.130297i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.459082 | + | 0.795154i | 0.0775991 | + | 0.134406i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.60922 | + | 6.25136i | −0.593353 | + | 1.02772i | 0.400424 | + | 0.916330i | \(0.368863\pi\) |
−0.993777 | + | 0.111387i | \(0.964471\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −6.95301 | − | 3.87154i | −1.11337 | − | 0.619943i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.31675 | − | 6.97858i | −1.29886 | − | 1.08987i | −0.990341 | − | 0.138653i | \(-0.955723\pi\) |
−0.308517 | − | 0.951219i | \(-0.599833\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.16233 | − | 3.33481i | −1.39724 | − | 0.508554i | −0.469883 | − | 0.882728i | \(-0.655704\pi\) |
−0.927358 | + | 0.374174i | \(0.877926\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.21257 | − | 2.87040i | 0.478902 | − | 0.427895i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.382925 | + | 2.17168i | 0.0558554 | + | 0.316772i | 0.999915 | − | 0.0130019i | \(-0.00413874\pi\) |
−0.944060 | + | 0.329773i | \(0.893028\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.19370 | − | 2.25432i | 0.884815 | − | 0.322046i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.55930 | + | 4.50051i | −0.218346 | + | 0.630198i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.94401 | −1.22855 | −0.614277 | − | 0.789090i | \(-0.710552\pi\) | ||||
−0.614277 | + | 0.789090i | \(0.710552\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.91961 | 0.528520 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.10486 | − | 5.89524i | −0.676155 | − | 0.780844i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 11.1894 | − | 4.07259i | 1.45673 | − | 0.530206i | 0.512267 | − | 0.858826i | \(-0.328806\pi\) |
0.944462 | + | 0.328620i | \(0.106583\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.62996 | + | 9.24397i | 0.208695 | + | 1.18357i | 0.891518 | + | 0.452985i | \(0.149641\pi\) |
−0.682823 | + | 0.730584i | \(0.739248\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.01021 | + | 1.63054i | 0.127274 | + | 0.205429i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.20021 | + | 2.25669i | 0.769042 | + | 0.279908i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.12362 | − | 4.29923i | −0.625950 | − | 0.525234i | 0.273717 | − | 0.961810i | \(-0.411747\pi\) |
−0.899668 | + | 0.436576i | \(0.856191\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.134590 | + | 8.66148i | 0.0162028 | + | 1.04272i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.61014 | + | 11.4491i | −0.784480 | + | 1.35876i | 0.144830 | + | 0.989457i | \(0.453737\pi\) |
−0.929309 | + | 0.369302i | \(0.879597\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.02070 | + | 3.49995i | 0.236505 | + | 0.409638i | 0.959709 | − | 0.280996i | \(-0.0906648\pi\) |
−0.723204 | + | 0.690634i | \(0.757331\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.20981 | − | 3.94829i | 0.370637 | − | 0.455910i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.303041 | + | 1.71863i | −0.0345347 | + | 0.195856i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.4934 | − | 8.80503i | 1.18060 | − | 0.990643i | 0.180628 | − | 0.983552i | \(-0.442187\pi\) |
0.999975 | − | 0.00709184i | \(-0.00225742\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.52177 | − | 6.20214i | 0.724641 | − | 0.689126i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.98429 | − | 2.50411i | 0.327568 | − | 0.274862i | −0.464140 | − | 0.885762i | \(-0.653637\pi\) |
0.791708 | + | 0.610900i | \(0.209192\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.685733 | − | 3.88898i | 0.0743782 | − | 0.421820i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.34006 | + | 4.10852i | −0.358092 | + | 0.440479i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.94057 | − | 6.82526i | −0.417699 | − | 0.723476i | 0.578008 | − | 0.816031i | \(-0.303830\pi\) |
−0.995708 | + | 0.0925546i | \(0.970497\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.46886 | + | 2.54413i | −0.153978 | + | 0.266698i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.0790598 | + | 5.08784i | 0.00819812 | + | 0.527584i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.95290 | + | 4.15597i | 0.508157 | + | 0.426394i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −16.0203 | − | 5.83093i | −1.62662 | − | 0.592041i | −0.641993 | − | 0.766711i | \(-0.721892\pi\) |
−0.984627 | + | 0.174669i | \(0.944114\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 8.18443 | − | 0.254417i | 0.822566 | − | 0.0255698i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.95902 | + | 11.1102i | 0.194930 | + | 1.10550i | 0.912519 | + | 0.409035i | \(0.134135\pi\) |
−0.717589 | + | 0.696467i | \(0.754754\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.73373 | − | 2.08691i | 0.564961 | − | 0.205629i | −0.0437203 | − | 0.999044i | \(-0.513921\pi\) |
0.608681 | + | 0.793415i | \(0.291699\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.04103 | − | 1.20222i | −0.101595 | − | 0.117324i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.04986 | −0.294841 | −0.147421 | − | 0.989074i | \(-0.547097\pi\) | ||||
−0.147421 | + | 0.989074i | \(0.547097\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.91368 | −0.183297 | −0.0916486 | − | 0.995791i | \(-0.529214\pi\) | ||||
−0.0916486 | + | 0.995791i | \(0.529214\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.09313 | − | 11.8137i | 0.388502 | − | 1.12131i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.61276 | + | 2.04288i | −0.528004 | + | 0.192178i | −0.592247 | − | 0.805757i | \(-0.701759\pi\) |
0.0642428 | + | 0.997934i | \(0.479537\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.24715 | − | 7.07296i | −0.116298 | − | 0.659557i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 13.0930 | + | 4.30969i | 1.21045 | + | 0.398431i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.65219 | + | 0.601347i | 0.151456 | + | 0.0551254i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.71949 | − | 2.28193i | −0.247227 | − | 0.207448i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 16.4292 | + | 9.14806i | 1.48137 | + | 0.824853i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.69949 | + | 9.87180i | −0.509778 | + | 0.882961i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.88015 | + | 11.9168i | 0.610514 | + | 1.05744i | 0.991154 | + | 0.132718i | \(0.0423705\pi\) |
−0.380640 | + | 0.924723i | \(0.624296\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 16.6751 | + | 2.67383i | 1.46816 | + | 0.235417i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.05603 | − | 11.6603i | 0.179636 | − | 1.01877i | −0.753019 | − | 0.657998i | \(-0.771403\pi\) |
0.932655 | − | 0.360768i | \(-0.117485\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.20520 | + | 1.85038i | −0.191215 | + | 0.160448i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.52484 | + | 5.93341i | −0.389436 | + | 0.510667i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.30729 | + | 2.77514i | −0.282560 | + | 0.237096i | −0.773041 | − | 0.634356i | \(-0.781266\pi\) |
0.490481 | + | 0.871452i | \(0.336821\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.54299 | − | 8.75072i | 0.130874 | − | 0.742226i | −0.846770 | − | 0.531960i | \(-0.821456\pi\) |
0.977644 | − | 0.210266i | \(-0.0674331\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.36195 | − | 3.56841i | −0.114697 | − | 0.300514i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.27049 | + | 10.8608i | 0.524365 | + | 0.908227i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.19499 | − | 3.80184i | 0.182284 | − | 0.315725i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −9.79692 | + | 5.86107i | −0.808036 | + | 0.483413i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.62702 | − | 3.88253i | −0.379060 | − | 0.318069i | 0.433273 | − | 0.901263i | \(-0.357359\pi\) |
−0.812333 | + | 0.583193i | \(0.801803\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.5289 | − | 4.56016i | −1.01959 | − | 0.371101i | −0.222482 | − | 0.974937i | \(-0.571416\pi\) |
−0.797108 | + | 0.603836i | \(0.793638\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.17943 | − | 8.16499i | 0.0953513 | − | 0.660100i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.732591 | − | 4.15473i | −0.0588431 | − | 0.333716i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.1550 | − | 5.51598i | 1.20950 | − | 0.440223i | 0.342972 | − | 0.939346i | \(-0.388566\pi\) |
0.866532 | + | 0.499122i | \(0.166344\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 15.2125 | − | 2.92678i | 1.20643 | − | 0.232109i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.19770 | 0.252014 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.39994 | −0.501282 | −0.250641 | − | 0.968080i | \(-0.580641\pi\) | ||||
−0.250641 | + | 0.968080i | \(0.580641\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −6.66670 | + | 1.28263i | −0.519002 | + | 0.0998524i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −15.6056 | + | 5.67996i | −1.20759 | + | 0.439528i | −0.865869 | − | 0.500272i | \(-0.833234\pi\) |
−0.341725 | + | 0.939800i | \(0.611011\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.40847 | + | 7.98782i | 0.108344 | + | 0.614448i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 10.6118 | + | 8.35649i | 0.811502 | + | 0.639037i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 10.6314 | + | 3.86952i | 0.808292 | + | 0.294194i | 0.712918 | − | 0.701247i | \(-0.247373\pi\) |
0.0953739 | + | 0.995442i | \(0.469595\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.43890 | − | 1.20738i | −0.108770 | − | 0.0912692i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −17.6988 | + | 10.5884i | −1.33032 | + | 0.795875i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.36906 | + | 2.37128i | −0.102328 | + | 0.177238i | −0.912643 | − | 0.408756i | \(-0.865963\pi\) |
0.810315 | + | 0.585994i | \(0.199296\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.2529 | − | 21.2226i | −0.910748 | − | 1.57746i | −0.813010 | − | 0.582250i | \(-0.802173\pi\) |
−0.0977379 | − | 0.995212i | \(-0.531161\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.79727 | − | 15.1893i | −0.428546 | − | 1.12283i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.80003 | + | 10.2085i | −0.132341 | + | 0.750543i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.74976 | − | 4.82462i | 0.420464 | − | 0.352811i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.25179 | − | 2.44274i | −0.163794 | − | 0.177683i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −14.4271 | + | 12.1057i | −1.04391 | + | 0.875941i | −0.992440 | − | 0.122734i | \(-0.960834\pi\) |
−0.0514660 | + | 0.998675i | \(0.516389\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.41085 | − | 8.00132i | 0.101555 | − | 0.575948i | −0.890985 | − | 0.454032i | \(-0.849985\pi\) |
0.992540 | − | 0.121916i | \(-0.0389038\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −11.2842 | − | 1.80940i | −0.808075 | − | 0.129574i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.34367 | − | 9.25550i | −0.380721 | − | 0.659427i | 0.610445 | − | 0.792059i | \(-0.290991\pi\) |
−0.991165 | + | 0.132631i | \(0.957657\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.360894 | + | 0.625087i | −0.0255831 | + | 0.0443112i | −0.878534 | − | 0.477681i | \(-0.841478\pi\) |
0.852950 | + | 0.521992i | \(0.174811\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 10.1214 | + | 5.63576i | 0.713909 | + | 0.397516i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.49729 | + | 1.25637i | 0.105089 | + | 0.0881801i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.6505 | − | 5.33234i | −1.02323 | − | 0.372426i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.06324 | − | 14.6879i | −0.212910 | − | 1.02088i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2.13396 | + | 12.1023i | 0.147609 | + | 0.837133i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −27.0521 | + | 9.84616i | −1.86234 | + | 0.677837i | −0.885217 | + | 0.465179i | \(0.845990\pi\) |
−0.977127 | + | 0.212658i | \(0.931788\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 7.49639 | − | 21.6364i | 0.513644 | − | 1.48250i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −14.0019 | −0.954920 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.87836 | 0.127512 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.58222 | − | 5.29168i | −0.309638 | − | 0.357578i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 11.8730 | − | 4.32141i | 0.798662 | − | 0.290689i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.26907 | + | 12.8685i | 0.151948 | + | 0.861742i | 0.961523 | + | 0.274725i | \(0.0885867\pi\) |
−0.809575 | + | 0.587017i | \(0.800302\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.16741 | + | 7.76585i | −0.277828 | + | 0.517723i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −22.1051 | − | 8.04558i | −1.46716 | − | 0.534004i | −0.519835 | − | 0.854266i | \(-0.674007\pi\) |
−0.947329 | + | 0.320262i | \(0.896229\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.50752 | + | 7.13866i | 0.562193 | + | 0.471736i | 0.879045 | − | 0.476739i | \(-0.158181\pi\) |
−0.316852 | + | 0.948475i | \(0.602626\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.0469637 | − | 3.02231i | −0.00308998 | − | 0.198854i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.5386 | − | 19.9855i | 0.755921 | − | 1.30929i | −0.188994 | − | 0.981978i | \(-0.560523\pi\) |
0.944915 | − | 0.327316i | \(-0.106144\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.58336 | + | 2.74246i | 0.103287 | + | 0.178898i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −14.9665 | + | 18.4099i | −0.972181 | + | 1.19585i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.12958 | − | 12.0775i | 0.137751 | − | 0.781226i | −0.835153 | − | 0.550018i | \(-0.814621\pi\) |
0.972904 | − | 0.231208i | \(-0.0742679\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.9676 | − | 15.0766i | 1.15739 | − | 0.971169i | 0.157528 | − | 0.987515i | \(-0.449648\pi\) |
0.999866 | + | 0.0163457i | \(0.00520323\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −9.06306 | + | 12.6831i | −0.581396 | + | 0.813621i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 7.25078 | − | 6.08412i | 0.463235 | − | 0.388700i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.59223 | + | 20.3726i | −0.228568 | + | 1.29628i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.25642 | + | 5.23570i | −0.269739 | + | 0.331799i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.30715 | + | 3.99610i | 0.145626 | + | 0.252232i | 0.929606 | − | 0.368554i | \(-0.120147\pi\) |
−0.783980 | + | 0.620786i | \(0.786814\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.82544 | − | 11.8220i | 0.429112 | − | 0.743243i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.106271 | + | 6.83900i | 0.00665495 | + | 0.428275i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.48116 | − | 2.08194i | −0.154770 | − | 0.129868i | 0.562114 | − | 0.827060i | \(-0.309988\pi\) |
−0.716885 | + | 0.697192i | \(0.754433\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.33695 | − | 1.57852i | −0.269485 | − | 0.0980845i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.33653 | − | 8.08098i | 0.268424 | − | 0.500200i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.24720 | − | 12.7445i | −0.138568 | − | 0.785859i | −0.972308 | − | 0.233702i | \(-0.924916\pi\) |
0.833740 | − | 0.552157i | \(-0.186195\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.0694 | + | 4.39289i | −0.741415 | + | 0.269853i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.93580 | + | 10.3193i | 0.546862 | + | 0.631532i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 15.5079 | 0.945530 | 0.472765 | − | 0.881188i | \(-0.343256\pi\) | ||||
0.472765 | + | 0.881188i | \(0.343256\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.6591 | 0.708240 | 0.354120 | − | 0.935200i | \(-0.384780\pi\) | ||||
0.354120 | + | 0.935200i | \(0.384780\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.66579 | − | 4.80787i | 0.100818 | − | 0.290986i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.53501 | + | 2.74252i | −0.454378 | + | 0.165380i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.33506 | + | 30.2566i | 0.320552 | + | 1.81794i | 0.539245 | + | 0.842149i | \(0.318710\pi\) |
−0.218692 | + | 0.975794i | \(0.570179\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.79938 | − | 8.62782i | −0.107726 | − | 0.516534i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.4224 | + | 4.52140i | 0.741061 | + | 0.269724i | 0.684839 | − | 0.728694i | \(-0.259872\pi\) |
0.0562218 | + | 0.998418i | \(0.482095\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.07896 | + | 7.61815i | 0.539688 | + | 0.452852i | 0.871431 | − | 0.490518i | \(-0.163192\pi\) |
−0.331743 | + | 0.943370i | \(0.607637\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −9.78415 | − | 5.44797i | −0.579563 | − | 0.322710i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.47076 | − | 6.01153i | 0.204872 | − | 0.354849i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.71899 | + | 8.17354i | 0.277588 | + | 0.480796i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 29.1564 | + | 4.67519i | 1.70918 | + | 0.274065i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.16037 | + | 12.2521i | −0.126210 | + | 0.715775i | 0.854371 | + | 0.519663i | \(0.173943\pi\) |
−0.980582 | + | 0.196112i | \(0.937168\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.0990 | − | 10.9914i | 0.762655 | − | 0.639944i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −13.8373 | + | 3.11094i | −0.802921 | + | 0.180515i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 17.6032 | − | 14.7709i | 1.01802 | − | 0.854222i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.08254 | − | 6.13940i | 0.0623967 | − | 0.353869i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.96763 | − | 18.2558i | −0.400280 | − | 1.04877i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.73974 | + | 11.6736i | 0.385916 | + | 0.668427i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.43172 | + | 7.67597i | −0.252932 | + | 0.438091i | −0.964332 | − | 0.264697i | \(-0.914728\pi\) |
0.711400 | + | 0.702787i | \(0.248061\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.06935 | + | 5.42580i | −0.515937 | + | 0.308663i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 23.7334 | + | 19.9147i | 1.34580 | + | 1.12926i | 0.980095 | + | 0.198527i | \(0.0636159\pi\) |
0.365703 | + | 0.930732i | \(0.380829\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.15943 | + | 1.51391i | 0.235105 | + | 0.0855713i | 0.456886 | − | 0.889525i | \(-0.348965\pi\) |
−0.221781 | + | 0.975097i | \(0.571187\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.16406 | + | 1.70414i | 0.121931 | + | 0.0960174i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.22992 | − | 23.9890i | −0.237576 | − | 1.34736i | −0.837121 | − | 0.547018i | \(-0.815763\pi\) |
0.599545 | − | 0.800341i | \(-0.295348\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.84078 | − | 2.85381i | 0.438999 | − | 0.159783i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.18738 | − | 0.998017i | 0.289531 | − | 0.0557039i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 12.3811 | 0.688901 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.4982 | −0.748746 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 3.25489 | − | 0.626219i | 0.179996 | − | 0.0346300i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.32490 | + | 0.482225i | −0.0730443 | + | 0.0265859i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.27476 | + | 24.2434i | 0.234962 | + | 1.33254i | 0.842694 | + | 0.538393i | \(0.180969\pi\) |
−0.607732 | + | 0.794142i | \(0.707920\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.09598 | + | 21.4329i | −0.169658 | + | 1.17452i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −9.02558 | − | 3.28504i | −0.493120 | − | 0.179481i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.336211 | − | 0.282115i | −0.0183146 | − | 0.0153678i | 0.633584 | − | 0.773674i | \(-0.281583\pi\) |
−0.651899 | + | 0.758306i | \(0.726027\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 8.87801 | − | 5.31133i | 0.482187 | − | 0.288472i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.00933 | − | 6.94437i | 0.217117 | − | 0.376059i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.34493 | + | 7.52563i | 0.234604 | + | 0.406346i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.43574 | + | 11.6220i | 0.238812 | + | 0.625707i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.48453 | − | 19.7617i | 0.187059 | − | 1.06087i | −0.736222 | − | 0.676741i | \(-0.763392\pi\) |
0.923281 | − | 0.384125i | \(-0.125497\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.40572 | − | 7.05324i | 0.449948 | − | 0.377551i | −0.389469 | − | 0.921040i | \(-0.627341\pi\) |
0.839417 | + | 0.543488i | \(0.182897\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −23.6796 | − | 3.04572i | −1.26392 | − | 0.162568i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.42734 | − | 4.55408i | 0.288868 | − | 0.242389i | −0.486825 | − | 0.873500i | \(-0.661845\pi\) |
0.775693 | + | 0.631110i | \(0.217401\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.29668 | + | 18.6964i | −0.174970 | + | 0.992303i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.00692 | − | 0.482155i | −0.159143 | − | 0.0255183i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −7.25834 | − | 12.5718i | −0.383081 | − | 0.663515i | 0.608420 | − | 0.793615i | \(-0.291803\pi\) |
−0.991501 | + | 0.130100i | \(0.958470\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.635582 | + | 1.10086i | −0.0334517 | + | 0.0579400i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 5.37220 | + | 2.99132i | 0.281967 | + | 0.157004i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.44581 | + | 3.73048i | 0.232704 | + | 0.195262i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 26.7389 | + | 9.73216i | 1.39576 | + | 0.508015i | 0.926917 | − | 0.375267i | \(-0.122449\pi\) |
0.468843 | + | 0.883282i | \(0.344671\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −30.9374 | − | 10.1834i | −1.61053 | − | 0.530124i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.993018 | − | 5.63168i | −0.0515549 | − | 0.292382i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.75174 | − | 2.09346i | 0.297814 | − | 0.108395i | −0.188792 | − | 0.982017i | \(-0.560457\pi\) |
0.486606 | + | 0.873622i | \(0.338235\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.46364 | − | 18.6556i | 0.333781 | − | 0.963371i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 14.0460 | 0.723404 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.581106 | 0.0298494 | 0.0149247 | − | 0.999889i | \(-0.495249\pi\) | ||||
0.0149247 | + | 0.999889i | \(0.495249\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −15.6017 | − | 18.0173i | −0.799300 | − | 0.923055i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.95738 | + | 2.89625i | −0.406603 | + | 0.147991i | −0.537221 | − | 0.843441i | \(-0.680526\pi\) |
0.130618 | + | 0.991433i | \(0.458304\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.435179 | + | 2.46802i | 0.0221788 | + | 0.125782i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −29.2369 | + | 0.908843i | −1.48620 | + | 0.0461991i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −28.9256 | − | 10.5281i | −1.46659 | − | 0.533795i | −0.519417 | − | 0.854521i | \(-0.673851\pi\) |
−0.947172 | + | 0.320727i | \(0.896073\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.5355 | − | 8.84036i | −0.532805 | − | 0.447076i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.318632 | + | 20.5053i | 0.0160729 | + | 1.03436i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 9.83557 | − | 17.0357i | 0.494881 | − | 0.857159i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.6533 | − | 23.6482i | −0.685238 | − | 1.18687i | −0.973362 | − | 0.229274i | \(-0.926365\pi\) |
0.288124 | − | 0.957593i | \(-0.406969\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.14522 | − | 3.86885i | 0.157458 | − | 0.193685i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.57531 | + | 31.6192i | −0.278418 | + | 1.57899i | 0.449473 | + | 0.893294i | \(0.351612\pi\) |
−0.727891 | + | 0.685693i | \(0.759499\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.3403 | − | 8.67656i | 0.515088 | − | 0.432210i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 5.75450 | − | 11.5726i | 0.285943 | − | 0.575046i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.0930 | + | 12.6645i | −0.748131 | + | 0.627756i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.96549 | + | 33.8320i | −0.294975 | + | 1.67288i | 0.372331 | + | 0.928100i | \(0.378559\pi\) |
−0.667306 | + | 0.744784i | \(0.732553\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.71710 | − | 5.80238i | 0.232678 | − | 0.286210i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.80666 | + | 6.59332i | 0.187313 | + | 0.324436i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.79719 | − | 4.84488i | 0.137309 | − | 0.237826i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.239124 | + | 15.3886i | 0.0117099 | + | 0.753585i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.2207 | + | 9.41532i | 0.548169 | + | 0.459968i | 0.874320 | − | 0.485349i | \(-0.161308\pi\) |
−0.326151 | + | 0.945318i | \(0.605752\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.30189 | + | 2.29370i | 0.307135 | + | 0.111788i | 0.490990 | − | 0.871165i | \(-0.336635\pi\) |
−0.183854 | + | 0.982954i | \(0.558857\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.48418 | + | 5.62368i | 0.169407 | + | 0.273433i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.40285 | + | 7.95594i | 0.0680481 | + | 0.385920i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.63959 | + | 2.05264i | −0.272919 | + | 0.0993343i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −14.2192 | − | 16.4208i | −0.686511 | − | 0.792803i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 19.4368 | 0.936239 | 0.468120 | − | 0.883665i | \(-0.344932\pi\) | ||||
0.468120 | + | 0.883665i | \(0.344932\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.493074 | 0.0236956 | 0.0118478 | − | 0.999930i | \(-0.496229\pi\) | ||||
0.0118478 | + | 0.999930i | \(0.496229\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.48928 | + | 7.18466i | −0.119352 | + | 0.344478i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 21.1597 | − | 7.70149i | 1.01220 | − | 0.368412i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.82440 | + | 10.3467i | 0.0870740 | + | 0.493821i | 0.996890 | + | 0.0788089i | \(0.0251117\pi\) |
−0.909816 | + | 0.415012i | \(0.863777\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.7452 | − | 13.1747i | 0.702154 | − | 0.627368i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.69511 | − | 0.980939i | −0.128048 | − | 0.0466058i | 0.277201 | − | 0.960812i | \(-0.410593\pi\) |
−0.405250 | + | 0.914206i | \(0.632815\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.66979 | − | 7.27482i | −0.410987 | − | 0.344859i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 9.14040 | + | 5.08952i | 0.432326 | + | 0.240726i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.14109 | − | 8.90463i | 0.242623 | − | 0.420235i | −0.718838 | − | 0.695178i | \(-0.755326\pi\) |
0.961461 | + | 0.274943i | \(0.0886589\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −14.8165 | − | 25.6630i | −0.697683 | − | 1.20842i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 22.8022 | + | 3.65630i | 1.07134 | + | 0.171788i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.732564 | + | 4.15458i | −0.0343431 | + | 0.194770i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.96619 | − | 6.68443i | 0.372643 | − | 0.312684i | −0.437163 | − | 0.899382i | \(-0.644017\pi\) |
0.809806 | + | 0.586698i | \(0.199572\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.665812 | + | 14.2734i | 0.0310775 | + | 0.666227i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.88996 | + | 8.29867i | −0.460622 | + | 0.386507i | −0.843360 | − | 0.537349i | \(-0.819426\pi\) |
0.382738 | + | 0.923857i | \(0.374981\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.261444 | − | 1.48273i | 0.0121504 | − | 0.0689081i | −0.978130 | − | 0.207996i | \(-0.933306\pi\) |
0.990280 | + | 0.139088i | \(0.0444170\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.60560 | + | 6.82688i | 0.120832 | + | 0.316589i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −8.72235 | − | 15.1076i | −0.403622 | − | 0.699094i | 0.590538 | − | 0.807010i | \(-0.298916\pi\) |
−0.994160 | + | 0.107916i | \(0.965582\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.13820 | − | 3.70347i | 0.0987328 | − | 0.171010i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −23.9716 | + | 14.3411i | −1.10455 | + | 0.660805i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −20.3869 | − | 17.1066i | −0.937390 | − | 0.786563i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −12.4293 | − | 4.52389i | −0.570295 | − | 0.207570i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −24.9165 | + | 9.95607i | −1.14085 | + | 0.455857i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −1.46375 | − | 8.30136i | −0.0668806 | − | 0.379299i | −0.999815 | − | 0.0192516i | \(-0.993872\pi\) |
0.932934 | − | 0.360047i | \(-0.117239\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −31.1663 | + | 11.3436i | −1.42106 | + | 0.517223i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −5.43884 | + | 1.04640i | −0.247476 | + | 0.0476127i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −24.4823 | −1.11168 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.07460 | 0.275266 | 0.137633 | − | 0.990483i | \(-0.456051\pi\) | ||||
0.137633 | + | 0.990483i | \(0.456051\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 10.8854 | − | 2.09427i | 0.492254 | − | 0.0947063i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −20.2071 | + | 7.35479i | −0.911934 | + | 0.331917i | −0.755025 | − | 0.655696i | \(-0.772375\pi\) |
−0.156909 | + | 0.987613i | \(0.550153\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.45977 | − | 8.27879i | −0.0657449 | − | 0.372858i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.9194 | − | 4.36313i | 0.490790 | − | 0.196108i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −7.94294 | − | 2.89099i | −0.356290 | − | 0.129679i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.4617 | − | 8.77845i | −0.468332 | − | 0.392977i | 0.377854 | − | 0.925865i | \(-0.376662\pi\) |
−0.846186 | + | 0.532888i | \(0.821107\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 24.6842 | − | 14.7675i | 1.10281 | − | 0.659761i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −8.78795 | + | 15.2212i | −0.391835 | + | 0.678679i | −0.992692 | − | 0.120678i | \(-0.961493\pi\) |
0.600856 | + | 0.799357i | \(0.294826\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.10037 | + | 14.0303i | 0.360462 | + | 0.624338i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −5.00949 | − | 13.1252i | −0.222479 | − | 0.582913i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4.90270 | + | 27.8046i | −0.217309 | + | 1.23242i | 0.659547 | + | 0.751663i | \(0.270748\pi\) |
−0.876855 | + | 0.480754i | \(0.840363\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.97943 | + | 1.66094i | −0.0875647 | + | 0.0734755i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −20.7836 | − | 10.7407i | −0.917620 | − | 0.474212i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 6.71230 | − | 5.63229i | 0.295779 | − | 0.248188i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.04518 | + | 5.92750i | −0.0459669 | + | 0.260691i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −19.3488 | − | 3.10255i | −0.849317 | − | 0.136187i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.70302 | − | 8.14587i | −0.206043 | − | 0.356877i | 0.744422 | − | 0.667710i | \(-0.232725\pi\) |
−0.950465 | + | 0.310833i | \(0.899392\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.11801 | − | 8.86465i | 0.223795 | − | 0.387624i | −0.732162 | − | 0.681130i | \(-0.761489\pi\) |
0.955957 | + | 0.293506i | \(0.0948221\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.84246 | + | 1.58272i | 0.124055 | + | 0.0690757i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −6.18868 | − | 5.19292i | −0.269583 | − | 0.226207i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.89169 | − | 0.688520i | −0.0822476 | − | 0.0299357i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 26.6383 | − | 23.8011i | 1.15600 | − | 1.03288i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.66213 | − | 49.1254i | −0.375199 | − | 2.12786i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.11559 | + | 1.49795i | −0.177932 | + | 0.0647621i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.55261 | − | 4.48121i | 0.0670002 | − | 0.193379i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 17.9904 | 0.774902 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −23.4018 | −1.00612 | −0.503062 | − | 0.864250i | \(-0.667793\pi\) | ||||
−0.503062 | + | 0.864250i | \(0.667793\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 27.7851 | + | 32.0870i | 1.19237 | + | 1.37699i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.58238 | + | 0.939911i | −0.110617 | + | 0.0402614i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.02195 | + | 5.79579i | 0.0436956 | + | 0.247810i | 0.998830 | − | 0.0483633i | \(-0.0154005\pi\) |
−0.955134 | + | 0.296173i | \(0.904289\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 14.8308 | + | 23.9378i | 0.632962 | + | 1.02164i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 12.9337 | + | 4.70747i | 0.550993 | + | 0.200545i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.70922 | + | 5.62970i | 0.285305 | + | 0.239399i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.278959 | − | 17.9522i | −0.0118412 | − | 0.762029i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −6.44436 | + | 11.1620i | −0.273056 | + | 0.472947i | −0.969643 | − | 0.244525i | \(-0.921368\pi\) |
0.696587 | + | 0.717473i | \(0.254701\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −22.3998 | − | 38.7977i | −0.947412 | − | 1.64097i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −8.20074 | + | 10.0875i | −0.346236 | + | 0.425895i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.65833 | + | 26.4187i | −0.196325 | + | 1.11341i | 0.714194 | + | 0.699948i | \(0.246793\pi\) |
−0.910519 | + | 0.413467i | \(0.864318\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.57069 | + | 5.51346i | −0.276431 | + | 0.231953i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 4.62932 | + | 3.41790i | 0.194413 | + | 0.143538i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −25.8068 | + | 21.6545i | −1.08188 | + | 0.907803i | −0.996075 | − | 0.0885088i | \(-0.971790\pi\) |
−0.0858026 | + | 0.996312i | \(0.527345\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.35069 | − | 24.6740i | 0.182071 | − | 1.03258i | −0.747590 | − | 0.664160i | \(-0.768789\pi\) |
0.929661 | − | 0.368415i | \(-0.120100\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 20.5770 | − | 25.3112i | 0.859616 | − | 1.05739i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.34641 | + | 12.7244i | 0.306366 | + | 0.530642i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.7965 | − | 18.7002i | 0.449466 | − | 0.778498i | −0.548885 | − | 0.835898i | \(-0.684948\pi\) |
0.998351 | + | 0.0573995i | \(0.0182809\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.218646 | + | 14.0708i | 0.00908660 | + | 0.584762i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.90807 | + | 1.60106i | 0.0791602 | + | 0.0664233i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −22.9401 | − | 8.34950i | −0.950081 | − | 0.345801i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 19.7848 | − | 0.615020i | 0.818002 | − | 0.0254280i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 7.47193 | + | 42.3754i | 0.308399 | + | 1.74902i | 0.607056 | + | 0.794659i | \(0.292350\pi\) |
−0.298657 | + | 0.954361i | \(0.596539\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.4294 | − | 4.52393i | 0.512145 | − | 0.186405i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 12.1175 | + | 13.9937i | 0.498449 | + | 0.575623i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 29.7818 | 1.22299 | 0.611496 | − | 0.791248i | \(-0.290568\pi\) | ||||
0.611496 | + | 0.791248i | \(0.290568\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.52487 | 0.103510 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.409280 | − | 1.18128i | 0.0167507 | − | 0.0483466i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10.8521 | + | 3.94983i | −0.443404 | + | 0.161386i | −0.554067 | − | 0.832472i | \(-0.686925\pi\) |
0.110663 | + | 0.993858i | \(0.464703\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.10637 | − | 28.9596i | −0.208293 | − | 1.18129i | −0.892173 | − | 0.451694i | \(-0.850820\pi\) |
0.683880 | − | 0.729595i | \(-0.260291\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −19.0593 | − | 6.27357i | −0.776154 | − | 0.255479i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.79056 | − | 1.74362i | −0.194764 | − | 0.0708882i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 18.4853 | + | 15.5110i | 0.750297 | + | 0.629574i | 0.935581 | − | 0.353111i | \(-0.114876\pi\) |
−0.185285 | + | 0.982685i | \(0.559321\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.95780 | − | 1.64695i | −0.119856 | − | 0.0667378i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.06604 | + | 8.77464i | −0.204950 | + | 0.354984i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.7421 | + | 22.0700i | 0.514649 | + | 0.891398i | 0.999856 | + | 0.0169983i | \(0.00541098\pi\) |
−0.485207 | + | 0.874399i | \(0.661256\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 26.6633 | + | 4.27542i | 1.07517 | + | 0.172402i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 3.65022 | − | 20.7014i | 0.146952 | − | 0.833409i | −0.818826 | − | 0.574041i | \(-0.805375\pi\) |
0.965779 | − | 0.259367i | \(-0.0835140\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.689621 | − | 0.578661i | 0.0277182 | − | 0.0232583i | −0.628823 | − | 0.777548i | \(-0.716463\pi\) |
0.656542 | + | 0.754290i | \(0.272019\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 10.0165 | + | 23.9796i | 0.401949 | + | 0.962270i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.86009 | − | 3.23900i | 0.154651 | − | 0.129768i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.291798 | + | 1.65487i | −0.0116719 | + | 0.0661947i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −7.58984 | − | 19.8860i | −0.303109 | − | 0.794169i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 9.92505 | + | 17.1907i | 0.395738 | + | 0.685438i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.60884 | − | 4.51865i | 0.103856 | − | 0.179885i | −0.809414 | − | 0.587238i | \(-0.800215\pi\) |
0.913270 | + | 0.407354i | \(0.133548\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 42.7898 | − | 25.5993i | 1.70074 | − | 1.01748i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 15.1373 | + | 12.7017i | 0.600704 | + | 0.504051i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 28.4581 | + | 10.3579i | 1.12755 | + | 0.410394i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.67015 | + | 39.2534i | −0.224308 | + | 1.55284i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.61846 | + | 48.8777i | 0.340409 | + | 1.93055i | 0.365365 | + | 0.930864i | \(0.380944\pi\) |
−0.0249562 | + | 0.999689i | \(0.507945\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.5048 | − | 4.55138i | 0.493142 | − | 0.179489i | −0.0834649 | − | 0.996511i | \(-0.526599\pi\) |
0.576607 | + | 0.817022i | \(0.304376\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 23.8152 | − | 4.58188i | 0.937722 | − | 0.180411i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −10.8976 | −0.428429 | −0.214215 | − | 0.976787i | \(-0.568719\pi\) | ||||
−0.214215 | + | 0.976787i | \(0.568719\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 32.5009 | 1.27577 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.19483 | + | 0.614663i | −0.125215 | + | 0.0240906i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 22.7736 | − | 8.28893i | 0.891202 | − | 0.324371i | 0.144480 | − | 0.989508i | \(-0.453849\pi\) |
0.746722 | + | 0.665137i | \(0.231627\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.95254 | − | 16.7447i | −0.115365 | − | 0.654268i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 9.52532 | + | 7.50094i | 0.371618 | + | 0.292639i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.77619 | − | 0.646482i | −0.0691907 | − | 0.0251833i | 0.307193 | − | 0.951647i | \(-0.400610\pi\) |
−0.376384 | + | 0.926464i | \(0.622833\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.02397 | − | 6.73291i | −0.312096 | − | 0.261880i | 0.473261 | − | 0.880922i | \(-0.343077\pi\) |
−0.785358 | + | 0.619042i | \(0.787521\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −18.7801 | + | 11.2353i | −0.729360 | + | 0.436344i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.06695 | + | 3.58006i | −0.0801529 | + | 0.138829i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.64452 | − | 13.2407i | −0.295997 | − | 0.512682i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.07039 | − | 21.1451i | −0.312019 | − | 0.817515i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.44891 | + | 25.2310i | −0.171748 | + | 0.974034i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.8712 | − | 14.9957i | 0.688883 | − | 0.578041i | −0.229704 | − | 0.973261i | \(-0.573776\pi\) |
0.918587 | + | 0.395219i | \(0.129331\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.54694 | − | 14.5723i | 0.175012 | − | 0.560889i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 11.5795 | − | 9.71637i | 0.445037 | − | 0.373430i | −0.392553 | − | 0.919729i | \(-0.628408\pi\) |
0.837590 | + | 0.546299i | \(0.183964\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.89283 | − | 10.7348i | 0.0726400 | − | 0.411962i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 40.2303 | + | 6.45088i | 1.54163 | + | 0.247198i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.83323 | + | 10.1034i | 0.223202 | + | 0.386597i | 0.955779 | − | 0.294087i | \(-0.0950157\pi\) |
−0.732576 | + | 0.680685i | \(0.761682\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.09994 | + | 5.36926i | −0.118443 | + | 0.205149i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −16.8061 | − | 9.35790i | −0.641193 | − | 0.357026i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −31.4805 | − | 26.4152i | −1.19931 | − | 1.00634i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.85816 | − | 1.76823i | −0.184813 | − | 0.0672665i | 0.247956 | − | 0.968771i | \(-0.420241\pi\) |
−0.432769 | + | 0.901505i | \(0.642463\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.06888 | + | 5.12516i | 0.0406034 | + | 0.194689i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.21579 | − | 12.5664i | −0.0840497 | − | 0.476669i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −28.0546 | + | 10.2110i | −1.06264 | + | 0.386771i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −13.0857 | + | 37.7683i | −0.494945 | + | 1.42853i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.9800 | −0.716864 | −0.358432 | − | 0.933556i | \(-0.616688\pi\) | ||||
−0.358432 | + | 0.933556i | \(0.616688\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −32.5000 | −1.22576 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.59050 | − | 4.14641i | −0.135226 | − | 0.156163i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −6.77812 | + | 2.46704i | −0.254918 | + | 0.0927824i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.13074 | + | 34.7692i | 0.230245 | + | 1.30578i | 0.852400 | + | 0.522890i | \(0.175146\pi\) |
−0.622156 | + | 0.782894i | \(0.713743\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 19.4316 | − | 36.2102i | 0.728742 | − | 1.35799i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −13.8069 | − | 5.02528i | −0.517071 | − | 0.188198i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13.7960 | + | 11.5762i | 0.515939 | + | 0.432924i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.330031 | + | 21.2389i | 0.0123252 | + | 0.793182i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 22.9792 | − | 39.8011i | 0.856979 | − | 1.48433i | −0.0178181 | − | 0.999841i | \(-0.505672\pi\) |
0.874797 | − | 0.484490i | \(-0.160995\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.95063 | + | 3.37860i | 0.0726454 | + | 0.125826i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −25.6268 | + | 31.5227i | −0.953069 | + | 1.17234i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.55951 | + | 8.84442i | −0.0579188 | + | 0.328474i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.17453 | + | 7.69834i | −0.340264 | + | 0.285516i | −0.796867 | − | 0.604155i | \(-0.793511\pi\) |
0.456602 | + | 0.889671i | \(0.349066\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.2647 | − | 24.5379i | 0.417209 | − | 0.908810i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −20.5396 | + | 17.2348i | −0.759686 | + | 0.637452i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.15108 | − | 34.8845i | 0.227195 | − | 1.28849i | −0.631249 | − | 0.775580i | \(-0.717457\pi\) |
0.858444 | − | 0.512907i | \(-0.171432\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −10.3416 | + | 12.7209i | −0.381456 | + | 0.469219i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.12788 | − | 15.8100i | −0.336230 | − | 0.582367i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.40053 | − | 11.0860i | 0.235447 | − | 0.407806i | −0.723955 | − | 0.689847i | \(-0.757678\pi\) |
0.959403 | + | 0.282040i | \(0.0910112\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.556704 | − | 35.8263i | −0.0204510 | − | 1.31611i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −15.0241 | − | 12.6067i | −0.551180 | − | 0.462495i | 0.324160 | − | 0.946002i | \(-0.394918\pi\) |
−0.875341 | + | 0.483507i | \(0.839363\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −8.15078 | − | 2.96664i | −0.298622 | − | 0.108689i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 5.52627 | − | 10.2980i | 0.202195 | − | 0.376785i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.338614 | − | 1.92038i | −0.0123727 | − | 0.0701690i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.834905 | − | 0.303880i | 0.0304661 | − | 0.0110888i | −0.326742 | − | 0.945114i | \(-0.605951\pi\) |
0.357208 | + | 0.934025i | \(0.383729\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −5.23180 | − | 6.04183i | −0.190657 | − | 0.220177i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −19.1467 | −0.696821 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 7.82668 | 0.284466 | 0.142233 | − | 0.989833i | \(-0.454572\pi\) | ||||
0.142233 | + | 0.989833i | \(0.454572\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.74055 | + | 22.3411i | −0.280964 | + | 0.810929i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13.5553 | − | 4.93374i | 0.491381 | − | 0.178848i | −0.0844324 | − | 0.996429i | \(-0.526908\pi\) |
0.575813 | + | 0.817581i | \(0.304685\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.212468 | − | 1.20497i | −0.00769186 | − | 0.0436227i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.41870 | − | 11.5974i | −0.0874484 | − | 0.419305i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 51.4114 | + | 18.7122i | 1.85636 | + | 0.675660i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.2184 | − | 14.4479i | −0.620910 | − | 0.521005i | 0.277179 | − | 0.960818i | \(-0.410600\pi\) |
−0.898090 | + | 0.439813i | \(0.855045\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.90138 | + | 2.72916i | 0.176519 | + | 0.0982885i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −23.8250 | + | 41.2662i | −0.856927 | + | 1.48424i | 0.0179190 | + | 0.999839i | \(0.494296\pi\) |
−0.874846 | + | 0.484401i | \(0.839037\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.31536 | + | 7.47441i | 0.155012 | + | 0.268489i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 7.89308 | + | 1.26564i | 0.283163 | + | 0.0454048i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 8.48808 | − | 48.1383i | 0.304117 | − | 1.72473i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −27.6421 | + | 23.1945i | −0.989113 | + | 0.829965i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −4.73145 | + | 15.1637i | −0.169088 | + | 0.541905i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 17.7415 | − | 14.8869i | 0.633223 | − | 0.531337i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.24247 | − | 7.04642i | 0.0442894 | − | 0.251178i | −0.954622 | − | 0.297819i | \(-0.903741\pi\) |
0.998912 | + | 0.0466414i | \(0.0148518\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 7.99259 | + | 20.9412i | 0.284544 | + | 0.745527i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.90948 | − | 3.30732i | −0.0678933 | − | 0.117595i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.5641 | + | 37.3502i | −0.765764 | + | 1.32634i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 19.0908 | − | 11.4212i | 0.677080 | − | 0.405067i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 24.1053 | + | 20.2267i | 0.853853 | + | 0.716467i | 0.960635 | − | 0.277815i | \(-0.0896103\pi\) |
−0.106782 | + | 0.994282i | \(0.534055\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.69834 | + | 2.07403i | 0.201593 | + | 0.0733737i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −18.5753 | − | 14.6276i | −0.656328 | − | 0.516841i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.91548 | + | 10.8632i | 0.0675959 | + | 0.383355i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.31509 | − | 1.57057i | 0.152087 | − | 0.0553552i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −26.3767 | + | 5.07469i | −0.928502 | + | 0.178637i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −55.1927 | −1.94047 | −0.970237 | − | 0.242159i | \(-0.922144\pi\) | ||||
−0.970237 | + | 0.242159i | \(0.922144\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −25.3913 | −0.891609 | −0.445804 | − | 0.895130i | \(-0.647082\pi\) | ||||
−0.445804 | + | 0.895130i | \(0.647082\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −19.8305 | + | 3.81525i | −0.695486 | + | 0.133807i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −8.63630 | + | 3.14335i | −0.302516 | + | 0.110107i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.62306 | − | 43.2325i | −0.266697 | − | 1.51252i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.25998 | + | 8.72261i | −0.0440272 | + | 0.304793i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −30.2228 | − | 11.0002i | −1.05478 | − | 0.383909i | −0.244316 | − | 0.969696i | \(-0.578563\pi\) |
−0.810465 | + | 0.585787i | \(0.800786\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.9272 | − | 11.6863i | −0.485472 | − | 0.407360i | 0.366928 | − | 0.930249i | \(-0.380410\pi\) |
−0.852400 | + | 0.522890i | \(0.824854\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 11.9185 | − | 7.13034i | 0.414950 | − | 0.248247i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 2.50483 | − | 4.33849i | 0.0871014 | − | 0.150864i | −0.819183 | − | 0.573532i | \(-0.805573\pi\) |
0.906285 | + | 0.422668i | \(0.138906\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.4883 | + | 32.0227i | 0.642127 | + | 1.11220i | 0.984957 | + | 0.172799i | \(0.0552810\pi\) |
−0.342830 | + | 0.939397i | \(0.611386\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −18.9751 | − | 49.7164i | −0.658240 | − | 1.72464i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.14741 | − | 17.8499i | 0.109051 | − | 0.618461i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −18.2689 | + | 15.3295i | −0.632223 | + | 0.530498i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 5.88380 | + | 14.0859i | 0.203374 | + | 0.486879i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 19.6074 | − | 16.4526i | 0.676923 | − | 0.568006i | −0.238182 | − | 0.971220i | \(-0.576552\pi\) |
0.915105 | + | 0.403215i | \(0.132107\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.41300 | + | 19.3561i | −0.117690 | + | 0.667452i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −22.6084 | − | 3.62522i | −0.778674 | − | 0.124859i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.82389 | + | 10.0873i | 0.200348 | + | 0.347012i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.13490 | − | 1.96571i | 0.0389957 | − | 0.0675426i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −17.9349 | − | 9.98646i | −0.615525 | − | 0.342734i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 27.6555 | + | 23.2057i | 0.948019 | + | 0.795482i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −25.1605 | − | 9.15766i | −0.861478 | − | 0.313552i | −0.126767 | − | 0.991933i | \(-0.540460\pi\) |
−0.734711 | + | 0.678380i | \(0.762682\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 18.4242 | + | 6.06452i | 0.630095 | + | 0.207402i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −5.63415 | − | 31.9528i | −0.192459 | − | 1.09149i | −0.915991 | − | 0.401198i | \(-0.868594\pi\) |
0.723532 | − | 0.690290i | \(-0.242517\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 39.6782 | − | 14.4417i | 1.35380 | − | 0.492744i | 0.439671 | − | 0.898159i | \(-0.355095\pi\) |
0.914133 | + | 0.405415i | \(0.132873\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.93609 | + | 11.3605i | −0.134142 | + | 0.387165i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 5.61985 | 0.191302 | 0.0956509 | − | 0.995415i | \(-0.469507\pi\) | ||||
0.0956509 | + | 0.995415i | \(0.469507\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 16.2469 | 0.552413 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −10.7010 | − | 12.3578i | −0.363425 | − | 0.419693i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 35.1339 | − | 12.7877i | 1.19183 | − | 0.433792i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.33640 | − | 30.2642i | −0.180817 | − | 1.02546i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −51.1208 | + | 1.58911i | −1.73018 | + | 0.0537833i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −6.84867 | − | 2.49271i | −0.231527 | − | 0.0842691i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.15193 | + | 6.00118i | 0.241504 | + | 0.202646i | 0.755503 | − | 0.655145i | \(-0.227392\pi\) |
−0.514000 | + | 0.857790i | \(0.671837\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.334803 | − | 21.5460i | −0.0112926 | − | 0.726729i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 0.248845 | − | 0.431012i | 0.00838379 | − | 0.0145211i | −0.861803 | − | 0.507243i | \(-0.830665\pi\) |
0.870187 | + | 0.492722i | \(0.163998\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 27.7879 | + | 48.1301i | 0.935139 | + | 1.61971i | 0.774386 | + | 0.632714i | \(0.218059\pi\) |
0.160753 | + | 0.986995i | \(0.448608\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −18.6828 | + | 22.9812i | −0.628017 | + | 0.772506i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 4.54374 | − | 25.7688i | 0.152564 | − | 0.865232i | −0.808416 | − | 0.588612i | \(-0.799675\pi\) |
0.960979 | − | 0.276620i | \(-0.0892143\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.73963 | + | 5.65522i | −0.226040 | + | 0.189670i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 22.5173 | − | 9.81930i | 0.754357 | − | 0.328959i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −7.60566 | + | 6.38191i | −0.254514 | + | 0.213562i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.682792 | + | 3.87230i | −0.0228232 | + | 0.129437i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −25.1071 | + | 30.8835i | −0.838301 | + | 1.03117i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −4.49047 | − | 7.77772i | −0.149766 | − | 0.259402i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.2976 | + | 21.3001i | −0.409693 | + | 0.709609i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.167766 | + | 10.7965i | 0.00558292 | + | 0.359285i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −26.9580 | − | 22.6204i | −0.896114 | − | 0.751929i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 48.4172 | + | 17.6224i | 1.60767 | + | 0.585143i | 0.980977 | − | 0.194126i | \(-0.0621871\pi\) |
0.626690 | + | 0.779269i | \(0.284409\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 17.8249 | + | 28.7704i | 0.591213 | + | 0.954254i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −0.718666 | − | 4.07576i | −0.0238105 | − | 0.135036i | 0.970585 | − | 0.240758i | \(-0.0773959\pi\) |
−0.994396 | + | 0.105722i | \(0.966285\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.99192 | − | 3.63676i | 0.330684 | − | 0.120359i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −15.2833 | − | 17.6496i | −0.505251 | − | 0.583478i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.57031 | 0.249994 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.78452 | 0.223801 | 0.111900 | − | 0.993719i | \(-0.464306\pi\) | ||||
0.111900 | + | 0.993719i | \(0.464306\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.02590 | − | 14.5059i | 0.165609 | − | 0.477987i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −57.0797 | + | 20.7753i | −1.87880 | + | 0.683827i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.68244 | − | 20.8841i | −0.121078 | − | 0.686666i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 13.6502 | − | 12.1963i | 0.448331 | − | 0.400579i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 27.7215 | + | 10.0898i | 0.909513 | + | 0.331036i | 0.754058 | − | 0.656807i | \(-0.228094\pi\) |
0.155455 | + | 0.987843i | \(0.450316\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 22.7331 | + | 19.0753i | 0.745046 | + | 0.625168i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −46.8839 | − | 26.1057i | −1.53491 | − | 0.854663i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 5.38929 | − | 9.33452i | 0.176249 | − | 0.305272i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 7.87400 | + | 13.6382i | 0.257232 | + | 0.445539i | 0.965499 | − | 0.260405i | \(-0.0838561\pi\) |
−0.708267 | + | 0.705944i | \(0.750523\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −7.57001 | − | 1.21384i | −0.247038 | − | 0.0396122i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.06462 | − | 23.0516i | 0.132503 | − | 0.751461i | −0.844063 | − | 0.536244i | \(-0.819843\pi\) |
0.976566 | − | 0.215217i | \(-0.0690460\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −41.5946 | + | 34.9021i | −1.35451 | + | 1.13657i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −4.23841 | − | 2.19035i | −0.137875 | − | 0.0712520i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 45.2289 | − | 37.9515i | 1.46974 | − | 1.23326i | 0.553366 | − | 0.832938i | \(-0.313343\pi\) |
0.916375 | − | 0.400321i | \(-0.131101\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.22445 | + | 18.2868i | −0.104670 | + | 0.593614i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.0445 | + | 39.4178i | 0.487851 | + | 1.27821i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.84271 | + | 11.8519i | 0.221657 | + | 0.383921i | 0.955311 | − | 0.295602i | \(-0.0955201\pi\) |
−0.733654 | + | 0.679523i | \(0.762187\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.5226 | + | 23.4218i | −0.437581 | + | 0.757912i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −12.4022 | + | 7.41969i | −0.400906 | + | 0.239845i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.11459 | − | 1.77435i | −0.0682837 | − | 0.0572968i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.0202 | + | 7.65072i | 0.678070 | + | 0.246797i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.49642 | + | 3.39497i | −0.273793 | + | 0.109401i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2.02603 | − | 11.4902i | −0.0652203 | − | 0.369883i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 30.2879 | − | 11.0239i | 0.973995 | − | 0.354505i | 0.194492 | − | 0.980904i | \(-0.437694\pi\) |
0.779503 | + | 0.626399i | \(0.215472\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −21.0584 | + | 4.05150i | −0.676494 | + | 0.130153i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −28.2898 | −0.907864 | −0.453932 | − | 0.891036i | \(-0.649979\pi\) | ||||
−0.453932 | + | 0.891036i | \(0.649979\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.68129 | 0.182134 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 22.9585 | − | 4.41706i | 0.735262 | − | 0.141459i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 39.6488 | − | 14.4310i | 1.26848 | − | 0.461688i | 0.381872 | − | 0.924215i | \(-0.375280\pi\) |
0.886605 | + | 0.462527i | \(0.153057\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.73539 | − | 21.1844i | −0.119383 | − | 0.677057i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −5.33119 | + | 2.13022i | −0.170212 | + | 0.0680127i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 50.4691 | + | 18.3693i | 1.60972 | + | 0.585888i | 0.981384 | − | 0.192057i | \(-0.0615160\pi\) |
0.628331 | + | 0.777946i | \(0.283738\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.7568 | − | 9.86513i | −0.374603 | − | 0.314329i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.09567 | − | 1.25375i | 0.0667060 | − | 0.0399073i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −24.3822 | + | 42.2313i | −0.775310 | + | 1.34288i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −11.1419 | − | 19.2983i | −0.353934 | − | 0.613032i | 0.633001 | − | 0.774151i | \(-0.281823\pi\) |
−0.986935 | + | 0.161119i | \(0.948490\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −15.2040 | − | 39.8357i | −0.482484 | − | 1.26415i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.179989 | + | 1.02077i | −0.00570603 | + | 0.0323605i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.6750 | + | 9.79646i | −0.369750 | + | 0.310257i | −0.808663 | − | 0.588273i | \(-0.799808\pi\) |
0.438913 | + | 0.898530i | \(0.355364\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.74774 | − | 37.4674i | −0.0552961 | − | 1.18542i |
(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 | 216.2.q.b.49.1 | ✓ | 30 | |
3.2 | odd | 2 | 648.2.q.b.361.3 | 30 | |||
4.3 | odd | 2 | 432.2.u.f.49.5 | 30 | |||
27.4 | even | 9 | 5832.2.a.k.1.6 | 15 | |||
27.11 | odd | 18 | 648.2.q.b.289.3 | 30 | |||
27.16 | even | 9 | inner | 216.2.q.b.97.1 | yes | 30 | |
27.23 | odd | 18 | 5832.2.a.l.1.10 | 15 | |||
108.43 | odd | 18 | 432.2.u.f.97.5 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.q.b.49.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
216.2.q.b.97.1 | yes | 30 | 27.16 | even | 9 | inner | |
432.2.u.f.49.5 | 30 | 4.3 | odd | 2 | |||
432.2.u.f.97.5 | 30 | 108.43 | odd | 18 | |||
648.2.q.b.289.3 | 30 | 27.11 | odd | 18 | |||
648.2.q.b.361.3 | 30 | 3.2 | odd | 2 | |||
5832.2.a.k.1.6 | 15 | 27.4 | even | 9 | |||
5832.2.a.l.1.10 | 15 | 27.23 | odd | 18 |