Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(41,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.m (of order \(11\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 261.1 | ||
Character | \(\chi\) | \(=\) | 460.261 |
Dual form | 460.2.m.a.141.1 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 | ||||||||
\(3\) | −1.08673 | − | 2.37960i | −0.627422 | − | 1.37386i | −0.909996 | − | 0.414618i | \(-0.863915\pi\) |
0.282573 | − | 0.959246i | \(-0.408812\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.654861 | − | 0.755750i | −0.292863 | − | 0.337981i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0544585 | + | 0.0349983i | 0.0205834 | + | 0.0132281i | 0.550892 | − | 0.834577i | \(-0.314288\pi\) |
−0.530309 | + | 0.847805i | \(0.677924\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.51694 | + | 2.90471i | −0.838981 | + | 0.968236i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.824724 | − | 5.73608i | −0.248664 | − | 1.72949i | −0.605953 | − | 0.795500i | \(-0.707208\pi\) |
0.357289 | − | 0.933994i | \(-0.383701\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.15165 | + | 2.02545i | −0.874112 | + | 0.561758i | −0.899008 | − | 0.437933i | \(-0.855711\pi\) |
0.0248961 | + | 0.999690i | \(0.492075\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.08673 | + | 2.37960i | −0.280592 | + | 0.614410i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.70862 | + | 0.501697i | −0.414402 | + | 0.121679i | −0.482286 | − | 0.876014i | \(-0.660193\pi\) |
0.0678839 | + | 0.997693i | \(0.478375\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.27048 | + | 0.960300i | 0.750300 | + | 0.220308i | 0.634456 | − | 0.772959i | \(-0.281224\pi\) |
0.115845 | + | 0.993267i | \(0.463043\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.0241006 | − | 0.167623i | 0.00525918 | − | 0.0365784i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.09742 | + | 2.49222i | −0.854371 | + | 0.519664i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.142315 | + | 0.989821i | −0.0284630 | + | 0.197964i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.11716 | + | 0.621655i | 0.407448 | + | 0.119637i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.26492 | + | 0.371413i | −0.234889 | + | 0.0689696i | −0.397059 | − | 0.917793i | \(-0.629969\pi\) |
0.162170 | + | 0.986763i | \(0.448151\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.01893 | + | 2.23114i | −0.183004 | + | 0.400724i | −0.978793 | − | 0.204850i | \(-0.934329\pi\) |
0.795789 | + | 0.605574i | \(0.207057\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −12.7533 | + | 8.19607i | −2.22007 | + | 1.42675i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.00921274 | − | 0.0640760i | −0.00155724 | − | 0.0108308i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.23564 | + | 1.42600i | −0.203138 | + | 0.234433i | −0.848173 | − | 0.529719i | \(-0.822297\pi\) |
0.645035 | + | 0.764153i | \(0.276843\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 8.24474 | + | 5.29857i | 1.32022 | + | 0.848451i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.0704270 | − | 0.0812771i | −0.0109988 | − | 0.0126933i | 0.750223 | − | 0.661184i | \(-0.229946\pi\) |
−0.761222 | + | 0.648491i | \(0.775400\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.298488 | − | 0.653598i | −0.0455190 | − | 0.0996728i | 0.885506 | − | 0.464627i | \(-0.153812\pi\) |
−0.931025 | + | 0.364955i | \(0.881084\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.84348 | 0.572952 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.878185 | 0.128096 | 0.0640482 | − | 0.997947i | \(-0.479599\pi\) | ||||
0.0640482 | + | 0.997947i | \(0.479599\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.90616 | − | 6.36361i | −0.415166 | − | 0.909087i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.05065 | + | 3.52064i | 0.427176 | + | 0.492988i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −7.32895 | − | 4.71003i | −1.00671 | − | 0.646972i | −0.0701691 | − | 0.997535i | \(-0.522354\pi\) |
−0.936539 | + | 0.350563i | \(0.885990\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.79496 | + | 4.37962i | −0.511713 | + | 0.590548i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.26899 | − | 8.82603i | −0.168082 | − | 1.16904i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 12.8806 | − | 8.27784i | 1.67691 | − | 1.07768i | 0.794386 | − | 0.607414i | \(-0.207793\pi\) |
0.882523 | − | 0.470270i | \(-0.155843\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.555050 | − | 1.21539i | 0.0710668 | − | 0.155615i | −0.870765 | − | 0.491700i | \(-0.836376\pi\) |
0.941832 | + | 0.336085i | \(0.109103\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.238729 | + | 0.0700971i | −0.0300770 | + | 0.00883141i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.59462 | + | 1.05548i | 0.445858 | + | 0.130916i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.53543 | − | 10.6792i | 0.187583 | − | 1.30467i | −0.650660 | − | 0.759369i | \(-0.725508\pi\) |
0.838243 | − | 0.545297i | \(-0.183583\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 10.3833 | + | 7.04185i | 1.25000 | + | 0.847739i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.57890 | − | 10.9815i | 0.187381 | − | 1.30326i | −0.651374 | − | 0.758757i | \(-0.725807\pi\) |
0.838756 | − | 0.544508i | \(-0.183284\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.82197 | − | 1.41586i | −0.564369 | − | 0.165714i | −0.0129114 | − | 0.999917i | \(-0.504110\pi\) |
−0.551458 | + | 0.834203i | \(0.685928\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.51004 | − | 0.737014i | 0.289834 | − | 0.0851030i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.155840 | − | 0.341242i | 0.0177596 | − | 0.0388882i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.43071 | + | 4.13277i | −0.723512 | + | 0.464973i | −0.849857 | − | 0.527014i | \(-0.823312\pi\) |
0.126345 | + | 0.991986i | \(0.459675\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.819465 | + | 5.69950i | 0.0910516 | + | 0.633278i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 8.70437 | − | 10.0454i | 0.955428 | − | 1.10262i | −0.0392122 | − | 0.999231i | \(-0.512485\pi\) |
0.994641 | − | 0.103392i | \(-0.0329697\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.49807 | + | 0.962750i | 0.162488 | + | 0.104425i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.25843 | + | 2.60637i | 0.242129 | + | 0.279432i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.981628 | + | 2.14946i | 0.104052 | + | 0.227843i | 0.954496 | − | 0.298223i | \(-0.0963939\pi\) |
−0.850444 | + | 0.526066i | \(0.823667\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.242522 | −0.0254232 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.41651 | 0.665361 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.41596 | − | 3.10053i | −0.145275 | − | 0.318108i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.21722 | + | 4.86694i | 0.428194 | + | 0.494163i | 0.928316 | − | 0.371793i | \(-0.121257\pi\) |
−0.500122 | + | 0.865955i | \(0.666711\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 18.7374 | + | 12.0418i | 1.88318 | + | 1.21025i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.44091 | − | 8.58727i | 0.740399 | − | 0.854466i | −0.253202 | − | 0.967413i | \(-0.581484\pi\) |
0.993601 | + | 0.112948i | \(0.0360293\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.49247 | − | 17.3355i | −0.245591 | − | 1.70812i | −0.623123 | − | 0.782123i | \(-0.714137\pi\) |
0.377533 | − | 0.925996i | \(-0.376773\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.142464 | + | 0.0915558i | −0.0139030 | + | 0.00893493i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −5.10088 | + | 11.1694i | −0.493121 | + | 1.07978i | 0.485523 | + | 0.874224i | \(0.338629\pi\) |
−0.978644 | + | 0.205561i | \(0.934098\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.4148 | + | 3.05807i | −0.997558 | + | 0.292910i | −0.739454 | − | 0.673207i | \(-0.764916\pi\) |
−0.258105 | + | 0.966117i | \(0.583098\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.73612 | + | 1.39065i | 0.449533 | + | 0.131995i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.22817 | − | 15.4973i | 0.209609 | − | 1.45786i | −0.564828 | − | 0.825209i | \(-0.691057\pi\) |
0.774437 | − | 0.632652i | \(-0.218033\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.56673 | + | 1.46456i | 0.425850 | + | 0.136571i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.04921 | − | 14.2526i | 0.189449 | − | 1.31765i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.110608 | − | 0.0324773i | −0.0101394 | − | 0.00297719i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −21.6681 | + | 6.36232i | −1.96982 | + | 0.578392i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.116872 | + | 0.255914i | −0.0105380 | + | 0.0230750i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.841254 | − | 0.540641i | 0.0752440 | − | 0.0483564i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.96308 | + | 13.6535i | 0.174195 | + | 1.21155i | 0.869901 | + | 0.493226i | \(0.164183\pi\) |
−0.695706 | + | 0.718327i | \(0.744908\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.23093 | + | 1.42057i | −0.108377 | + | 0.125074i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −15.9747 | − | 10.2663i | −1.39571 | − | 0.896971i | −0.395941 | − | 0.918276i | \(-0.629582\pi\) |
−0.999773 | + | 0.0213045i | \(0.993218\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.144497 | + | 0.166758i | 0.0125294 | + | 0.0144598i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.916631 | − | 2.00714i | −0.0788910 | − | 0.172747i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 16.1235 | 1.37752 | 0.688760 | − | 0.724990i | \(-0.258156\pi\) | ||||
0.688760 | + | 0.724990i | \(0.258156\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 19.0178 | 1.61307 | 0.806536 | − | 0.591184i | \(-0.201339\pi\) | ||||
0.806536 | + | 0.591184i | \(0.201339\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.954348 | − | 2.08973i | −0.0803706 | − | 0.175987i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 14.2174 | + | 16.4077i | 1.18892 | + | 1.37208i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.10904 | + | 0.712736i | 0.0921007 | + | 0.0591895i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −11.9846 | + | 13.8310i | −0.988477 | + | 1.14076i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.05958 | + | 7.36956i | 0.0868045 | + | 0.603738i | 0.986069 | + | 0.166334i | \(0.0531930\pi\) |
−0.899265 | + | 0.437404i | \(0.855898\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.44428 | − | 0.928183i | 0.117534 | − | 0.0755345i | −0.480553 | − | 0.876966i | \(-0.659564\pi\) |
0.598087 | + | 0.801431i | \(0.295928\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.84323 | − | 6.22580i | 0.229861 | − | 0.503326i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.35343 | − | 0.691031i | 0.189032 | − | 0.0555049i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 11.8120 | + | 3.46830i | 0.942697 | + | 0.276801i | 0.716743 | − | 0.697337i | \(-0.245632\pi\) |
0.225954 | + | 0.974138i | \(0.427450\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.24342 | + | 22.5585i | −0.257220 | + | 1.78900i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.310363 | − | 0.00768017i | −0.0244600 | − | 0.000605283i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.67265 | + | 11.6336i | −0.131012 | + | 0.911211i | 0.813226 | + | 0.581948i | \(0.197709\pi\) |
−0.944238 | + | 0.329263i | \(0.893200\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 14.5458 | + | 4.27104i | 1.13239 | + | 0.332500i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −21.1058 | + | 6.19723i | −1.63322 | + | 0.479556i | −0.964527 | − | 0.263984i | \(-0.914963\pi\) |
−0.668691 | + | 0.743541i | \(0.733145\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.430103 | − | 0.941795i | 0.0330849 | − | 0.0724458i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.0210 | + | 7.08277i | −0.842798 | + | 0.541633i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.06525 | − | 7.40900i | −0.0809897 | − | 0.563296i | −0.989400 | − | 0.145216i | \(-0.953612\pi\) |
0.908410 | − | 0.418080i | \(-0.137297\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0423924 | + | 0.0489234i | −0.00320456 | + | 0.00369826i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −33.6956 | − | 21.6549i | −2.53272 | − | 1.62768i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.56587 | − | 11.0396i | −0.714987 | − | 0.825139i | 0.275708 | − | 0.961242i | \(-0.411088\pi\) |
−0.990695 | + | 0.136102i | \(0.956542\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.39220 | + | 9.61758i | 0.326470 | + | 0.714869i | 0.999698 | − | 0.0245653i | \(-0.00782017\pi\) |
−0.673228 | + | 0.739435i | \(0.735093\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.49533 | −0.258382 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.88687 | 0.138726 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.28692 | + | 9.38705i | 0.313491 | + | 0.686449i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.0935405 | + | 0.107952i | 0.00680407 | + | 0.00785232i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 14.7857 | + | 9.50217i | 1.06985 | + | 0.687553i | 0.952192 | − | 0.305501i | \(-0.0988239\pi\) |
0.117661 | + | 0.993054i | \(0.462460\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.41940 | − | 9.71650i | 0.606042 | − | 0.699409i | −0.366952 | − | 0.930240i | \(-0.619599\pi\) |
0.972994 | + | 0.230831i | \(0.0741443\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.39476 | − | 9.70079i | −0.0998810 | − | 0.694688i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.75418 | + | 1.77001i | −0.196228 | + | 0.126108i | −0.635065 | − | 0.772459i | \(-0.719027\pi\) |
0.438838 | + | 0.898566i | \(0.355390\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.71532 | − | 21.2736i | 0.688701 | − | 1.50804i | −0.164453 | − | 0.986385i | \(-0.552586\pi\) |
0.853154 | − | 0.521660i | \(-0.174687\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −27.0807 | + | 7.95162i | −1.91013 | + | 0.560864i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.0818843 | − | 0.0240434i | −0.00574715 | − | 0.00168752i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0153053 | + | 0.106450i | −0.00106897 | + | 0.00743482i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.07379 | − | 18.1746i | 0.213643 | − | 1.26322i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2.81112 | − | 19.5517i | 0.194449 | − | 1.35242i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −25.9891 | − | 7.63108i | −1.78916 | − | 0.525345i | −0.792716 | − | 0.609591i | \(-0.791334\pi\) |
−0.996445 | + | 0.0842454i | \(0.973152\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −27.8474 | + | 8.17674i | −1.90807 | + | 0.560261i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.298488 | + | 0.653598i | −0.0203567 | + | 0.0445750i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.133575 | + | 0.0858436i | −0.00906768 | + | 0.00582744i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.87099 | + | 13.0130i | 0.126430 | + | 0.879338i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 4.36883 | − | 5.04190i | 0.293880 | − | 0.339155i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.10368 | − | 2.63728i | −0.274803 | − | 0.176605i | 0.395979 | − | 0.918259i | \(-0.370405\pi\) |
−0.670782 | + | 0.741654i | \(0.734042\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.51694 | − | 2.90471i | −0.167796 | − | 0.193647i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −6.10354 | − | 13.3649i | −0.405106 | − | 0.887058i | −0.996727 | − | 0.0808422i | \(-0.974239\pi\) |
0.591621 | − | 0.806216i | \(-0.298488\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.1857 | 0.739171 | 0.369585 | − | 0.929197i | \(-0.379500\pi\) | ||||
0.369585 | + | 0.929197i | \(0.379500\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.981377 | −0.0645698 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −8.86878 | − | 19.4199i | −0.581013 | − | 1.27224i | −0.940722 | − | 0.339177i | \(-0.889851\pi\) |
0.359709 | − | 0.933065i | \(-0.382876\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.575089 | − | 0.663688i | −0.0375147 | − | 0.0432942i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 16.8228 | + | 10.8113i | 1.09276 | + | 0.702272i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.83331 | + | 7.88606i | −0.442010 | + | 0.510107i | −0.932416 | − | 0.361387i | \(-0.882303\pi\) |
0.490406 | + | 0.871494i | \(0.336849\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.82894 | + | 26.6308i | 0.246644 | + | 1.71544i | 0.617346 | + | 0.786692i | \(0.288208\pi\) |
−0.370702 | + | 0.928752i | \(0.620883\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 18.2408 | − | 11.7226i | 1.17015 | − | 0.752008i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.90616 | + | 6.36361i | −0.185668 | + | 0.406556i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.2525 | + | 3.59765i | −0.779606 | + | 0.228913i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −33.3633 | − | 9.79634i | −2.11431 | − | 0.620818i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.352955 | − | 2.45486i | 0.0222783 | − | 0.154949i | −0.975646 | − | 0.219353i | \(-0.929605\pi\) |
0.997924 | + | 0.0644037i | \(0.0205145\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.6748 | + | 21.4477i | 1.11121 | + | 1.34841i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.662969 | − | 4.61105i | 0.0415167 | − | 0.288755i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.8676 | + | 4.36554i | 0.927418 | + | 0.272315i | 0.710356 | − | 0.703843i | \(-0.248534\pi\) |
0.217063 | + | 0.976158i | \(0.430352\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.117199 | + | 0.0344127i | −0.00728238 | + | 0.00213830i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.10488 | − | 4.60904i | 0.130289 | − | 0.285292i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.43624 | + | 6.06431i | −0.581864 | + | 0.373941i | −0.798213 | − | 0.602375i | \(-0.794221\pi\) |
0.216350 | + | 0.976316i | \(0.430585\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.23984 | + | 8.62326i | 0.0761626 | + | 0.529723i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.04811 | − | 4.67177i | 0.247740 | − | 0.285907i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 10.2596 | + | 6.59344i | 0.625539 | + | 0.402009i | 0.814655 | − | 0.579945i | \(-0.196926\pi\) |
−0.189117 | + | 0.981955i | \(0.560562\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.93878 | − | 10.3159i | −0.542992 | − | 0.626646i | 0.416244 | − | 0.909253i | \(-0.363346\pi\) |
−0.959236 | + | 0.282607i | \(0.908801\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.263555 | + | 0.577105i | 0.0159511 | + | 0.0349280i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.79507 | 0.349456 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −17.5457 | −1.05422 | −0.527109 | − | 0.849797i | \(-0.676724\pi\) | ||||
−0.527109 | + | 0.849797i | \(0.676724\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3.91622 | − | 8.57532i | −0.234458 | − | 0.513391i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 15.3782 | + | 17.7474i | 0.917388 | + | 1.05872i | 0.998077 | + | 0.0619825i | \(0.0197423\pi\) |
−0.0806896 | + | 0.996739i | \(0.525712\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.55779 | − | 2.28646i | −0.211489 | − | 0.135916i | 0.430608 | − | 0.902539i | \(-0.358299\pi\) |
−0.642097 | + | 0.766623i | \(0.721935\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −5.83925 | + | 6.73886i | −0.345888 | + | 0.399176i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.000990784 | − | 0.00689106i | −5.84842e−5 | − | 0.000406766i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.6336 | + | 7.47647i | −0.684330 | + | 0.439792i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.99839 | − | 15.3243i | 0.410253 | − | 0.898329i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 24.8945 | − | 7.30969i | 1.45435 | − | 0.427036i | 0.543374 | − | 0.839491i | \(-0.317147\pi\) |
0.910978 | + | 0.412454i | \(0.135328\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −14.6910 | − | 4.31366i | −0.855341 | − | 0.251151i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.81979 | − | 12.6569i | 0.105595 | − | 0.734428i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.86578 | − | 16.1537i | 0.454890 | − | 0.934194i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.00661963 | − | 0.0460406i | 0.000381549 | − | 0.00265373i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −28.5205 | − | 8.37438i | −1.63846 | − | 0.481096i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.28201 | + | 0.376432i | −0.0734077 | + | 0.0215544i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.602560 | + | 1.31942i | −0.0343899 | + | 0.0753034i | −0.926047 | − | 0.377407i | \(-0.876816\pi\) |
0.891657 | + | 0.452711i | \(0.149543\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −38.5430 | + | 24.7701i | −2.19263 | + | 1.40912i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.354101 | + | 2.46282i | 0.0200792 | + | 0.139654i | 0.997395 | − | 0.0721333i | \(-0.0229807\pi\) |
−0.977316 | + | 0.211787i | \(0.932072\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.6641 | + | 14.6151i | −0.715816 | + | 0.826095i | −0.990797 | − | 0.135354i | \(-0.956783\pi\) |
0.274982 | + | 0.961450i | \(0.411328\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.209310 | + | 0.134515i | 0.0117933 | + | 0.00757908i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.88940 | − | 6.79673i | −0.330782 | − | 0.381743i | 0.565858 | − | 0.824502i | \(-0.308545\pi\) |
−0.896640 | + | 0.442760i | \(0.853999\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.17366 | + | 6.94935i | 0.177691 | + | 0.389089i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 32.1219 | 1.79287 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6.06981 | −0.337733 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.55630 | − | 3.40783i | −0.0863281 | − | 0.189032i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 18.5950 | + | 21.4598i | 1.02831 | + | 1.18673i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.0478246 | + | 0.0307350i | 0.00263666 | + | 0.00169448i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.01753 | − | 3.48241i | 0.165858 | − | 0.191411i | −0.666736 | − | 0.745294i | \(-0.732309\pi\) |
0.832594 | + | 0.553883i | \(0.186855\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.03209 | − | 7.17834i | −0.0565581 | − | 0.393370i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −9.07626 | + | 5.83296i | −0.495889 | + | 0.318689i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.92004 | + | 15.1528i | −0.376958 | + | 0.825424i | 0.622137 | + | 0.782908i | \(0.286265\pi\) |
−0.999096 | + | 0.0425157i | \(0.986463\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −39.2987 | + | 11.5391i | −2.13441 | + | 0.626720i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.6383 | + | 4.00457i | 0.738556 | + | 0.216860i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.128940 | − | 0.896796i | 0.00696209 | − | 0.0484224i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.47772 | − | 12.4586i | −0.0795577 | − | 0.670748i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.53348 | + | 10.6656i | −0.0823216 | + | 0.572559i | 0.906357 | + | 0.422512i | \(0.138852\pi\) |
−0.988679 | + | 0.150047i | \(0.952057\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 31.9663 | + | 9.38615i | 1.71112 | + | 0.502429i | 0.983090 | − | 0.183121i | \(-0.0586202\pi\) |
0.728025 | + | 0.685550i | \(0.240438\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7.93169 | + | 2.32895i | −0.423362 | + | 0.124310i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.22376 | + | 4.86936i | −0.118359 | + | 0.259170i | −0.959534 | − | 0.281593i | \(-0.909137\pi\) |
0.841175 | + | 0.540763i | \(0.181864\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.33323 | + | 5.99810i | −0.495356 | + | 0.318346i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0429173 | + | 0.298496i | 0.00227142 | + | 0.0157981i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.4800 | − | 20.1730i | 0.922561 | − | 1.06469i | −0.0751571 | − | 0.997172i | \(-0.523946\pi\) |
0.997718 | − | 0.0675202i | \(-0.0215087\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.20994 | − | 3.99088i | −0.326839 | − | 0.210047i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 38.6871 | + | 44.6472i | 2.03054 | + | 2.34337i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.08768 | + | 4.57139i | 0.109274 | + | 0.239278i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 36.8508 | 1.92360 | 0.961799 | − | 0.273758i | \(-0.0882666\pi\) | ||||
0.961799 | + | 0.273758i | \(0.0882666\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.413347 | 0.0215180 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.234280 | − | 0.513002i | −0.0121632 | − | 0.0266337i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.19723 | + | 8.30605i | 0.372659 | + | 0.430071i | 0.910841 | − | 0.412757i | \(-0.135434\pi\) |
−0.538182 | + | 0.842828i | \(0.680889\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.20072 | − | 1.41432i | −0.113645 | − | 0.0730351i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.23430 | − | 3.73258i | 0.166575 | − | 0.192238i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.98479 | − | 13.8045i | −0.101952 | − | 0.709092i | −0.975121 | − | 0.221674i | \(-0.928848\pi\) |
0.873169 | − | 0.487418i | \(-0.162061\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 30.3566 | − | 19.5090i | 1.55521 | − | 0.999476i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.53694 | + | 9.93451i | −0.231827 | + | 0.507630i | −0.989417 | − | 0.145101i | \(-0.953649\pi\) |
0.757590 | + | 0.652731i | \(0.226377\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.359947 | + | 0.105690i | −0.0183446 | + | 0.00538647i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.64979 | + | 0.778048i | 0.134696 | + | 0.0395504i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.87506 | + | 13.0414i | −0.0950695 | + | 0.661223i | 0.885440 | + | 0.464753i | \(0.153857\pi\) |
−0.980510 | + | 0.196470i | \(0.937052\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.75061 | − | 6.31393i | 0.290821 | − | 0.319309i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −7.06959 | + | 49.1700i | −0.356613 | + | 2.48030i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 7.33456 | + | 2.15362i | 0.369042 | + | 0.108360i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.24921 | − | 2.42219i | 0.414016 | − | 0.121566i | −0.0680895 | − | 0.997679i | \(-0.521690\pi\) |
0.482106 | + | 0.876113i | \(0.339872\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.239789 | − | 0.525065i | 0.0120045 | − | 0.0262861i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 17.5090 | − | 11.2523i | 0.874357 | − | 0.561915i | −0.0247259 | − | 0.999694i | \(-0.507871\pi\) |
0.899082 | + | 0.437779i | \(0.144235\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.30774 | − | 9.09555i | −0.0651433 | − | 0.453082i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.77076 | − | 4.35169i | 0.187371 | − | 0.216237i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.19873 | + | 5.91167i | 0.455964 | + | 0.293031i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.81821 | − | 10.1768i | −0.436033 | − | 0.503208i | 0.494622 | − | 0.869108i | \(-0.335307\pi\) |
−0.930654 | + | 0.365900i | \(0.880761\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −17.5218 | − | 38.3674i | −0.864286 | − | 1.89252i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.991168 | 0.0487722 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −13.2919 | −0.652476 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −20.6672 | − | 45.2549i | −1.01208 | − | 2.21614i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −14.8040 | − | 17.0848i | −0.723224 | − | 0.834645i | 0.268467 | − | 0.963289i | \(-0.413483\pi\) |
−0.991691 | + | 0.128644i | \(0.958938\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.89603 | − | 2.50383i | −0.189881 | − | 0.122029i | 0.442246 | − | 0.896894i | \(-0.354182\pi\) |
−0.632127 | + | 0.774864i | \(0.717818\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.21034 | + | 2.55087i | −0.107470 | + | 0.124028i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.253428 | − | 1.76263i | −0.0122931 | − | 0.0855002i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.0727638 | − | 0.0467624i | 0.00352129 | − | 0.00226299i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 23.5934 | − | 51.6624i | 1.13910 | − | 2.49428i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 27.8595 | − | 8.18029i | 1.34195 | − | 0.394031i | 0.469582 | − | 0.882889i | \(-0.344405\pi\) |
0.872363 | + | 0.488858i | \(0.162586\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 27.4854 | + | 8.07045i | 1.32087 | + | 0.387841i | 0.864805 | − | 0.502107i | \(-0.167442\pi\) |
0.456061 | + | 0.889949i | \(0.349260\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.490805 | − | 3.41362i | 0.0235323 | − | 0.163671i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −15.7938 | + | 4.21602i | −0.755521 | + | 0.201679i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.178976 | − | 1.24480i | 0.00854204 | − | 0.0594112i | −0.985105 | − | 0.171956i | \(-0.944991\pi\) |
0.993647 | + | 0.112545i | \(0.0359003\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 25.7991 | + | 7.57529i | 1.22853 | + | 0.360728i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −12.8094 | + | 3.76119i | −0.608594 | + | 0.178699i | −0.571486 | − | 0.820612i | \(-0.693633\pi\) |
−0.0371082 | + | 0.999311i | \(0.511815\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.981628 | − | 2.14946i | 0.0465336 | − | 0.101894i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 16.3851 | − | 10.5301i | 0.774991 | − | 0.498056i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.36172 | − | 16.4261i | −0.111456 | − | 0.775196i | −0.966505 | − | 0.256648i | \(-0.917382\pi\) |
0.855049 | − | 0.518548i | \(-0.173527\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.408129 | + | 0.471006i | −0.0192181 | + | 0.0221788i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −3.77825 | − | 2.42813i | −0.177517 | − | 0.114084i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.158818 | + | 0.183286i | 0.00744550 | + | 0.00859256i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.977533 | − | 2.14050i | −0.0457271 | − | 0.100128i | 0.885390 | − | 0.464849i | \(-0.153892\pi\) |
−0.931117 | + | 0.364721i | \(0.881164\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.92932 | −0.183405 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.30382 | 0.0607249 | 0.0303625 | − | 0.999539i | \(-0.490334\pi\) | ||||
0.0303625 | + | 0.999539i | \(0.490334\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.1553 | − | 24.4268i | −0.518433 | − | 1.13521i | −0.970030 | − | 0.242987i | \(-0.921873\pi\) |
0.451597 | − | 0.892222i | \(-0.350855\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −4.20192 | − | 4.84927i | −0.194859 | − | 0.224880i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 11.9402 | + | 7.67353i | 0.552528 | + | 0.355088i | 0.786921 | − | 0.617054i | \(-0.211674\pi\) |
−0.234393 | + | 0.972142i | \(0.575310\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.457370 | − | 0.527833i | 0.0211194 | − | 0.0243731i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.58320 | − | 31.8768i | −0.211183 | − | 1.46881i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.50292 | + | 2.25119i | −0.161065 | + | 0.103510i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.41596 | + | 3.10053i | −0.0649689 | + | 0.142262i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 32.1278 | − | 9.43357i | 1.47103 | − | 0.431934i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −9.00073 | − | 2.64285i | −0.411254 | − | 0.120755i | 0.0695599 | − | 0.997578i | \(-0.477840\pi\) |
−0.480814 | + | 0.876823i | \(0.659659\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.00602 | − | 6.99699i | 0.0458703 | − | 0.319035i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.319004 | + | 0.746886i | 0.0145152 | + | 0.0339845i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.916490 | − | 6.37433i | 0.0416157 | − | 0.289443i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 20.7429 | + | 6.09067i | 0.939952 | + | 0.275995i | 0.715597 | − | 0.698513i | \(-0.246155\pi\) |
0.224354 | + | 0.974508i | \(0.427973\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 29.5010 | − | 8.66227i | 1.33408 | − | 0.391721i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.4103 | + | 38.1231i | −0.785714 | + | 1.72047i | −0.0971830 | + | 0.995267i | \(0.530983\pi\) |
−0.688531 | + | 0.725207i | \(0.741744\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.97493 | − | 1.26921i | 0.0889464 | − | 0.0571624i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −3.16981 | − | 22.0465i | −0.142472 | − | 0.990917i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.470319 | − | 0.542777i | 0.0210967 | − | 0.0243469i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.75265 | + | 6.26765i | 0.436588 | + | 0.280578i | 0.740416 | − | 0.672149i | \(-0.234628\pi\) |
−0.303828 | + | 0.952727i | \(0.598265\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 37.6832 | + | 43.4887i | 1.68356 | + | 1.94293i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.03334 | + | 4.45239i | 0.0906621 | + | 0.198522i | 0.949531 | − | 0.313673i | \(-0.101560\pi\) |
−0.858869 | + | 0.512195i | \(0.828832\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.3626 | −0.505629 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2.70850 | −0.120289 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −13.3829 | − | 29.3044i | −0.593185 | − | 1.29889i | −0.933498 | − | 0.358581i | \(-0.883261\pi\) |
0.340314 | − | 0.940312i | \(-0.389467\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.213045 | − | 0.245866i | −0.00942453 | − | 0.0108765i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 6.32716 | + | 4.06622i | 0.279351 | + | 0.179528i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −11.4691 | + | 13.2360i | −0.505389 | + | 0.583249i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.724261 | − | 5.03734i | −0.0318529 | − | 0.221542i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −16.4728 | + | 10.5864i | −0.723076 | + | 0.464693i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.12966 | + | 4.66330i | −0.0933020 | + | 0.204303i | −0.950529 | − | 0.310636i | \(-0.899458\pi\) |
0.857227 | + | 0.514939i | \(0.172185\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.6666 | − | 4.89376i | 0.728781 | − | 0.213989i | 0.103765 | − | 0.994602i | \(-0.466911\pi\) |
0.625015 | + | 0.780612i | \(0.285093\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.162487 | + | 0.0477105i | 0.00709152 | + | 0.00208226i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.621606 | − | 4.32337i | 0.0270776 | − | 0.188329i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.5777 | − | 20.4233i | 0.459898 | − | 0.887972i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −8.37496 | + | 58.2492i | −0.363443 | + | 2.52780i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.386584 | + | 0.113511i | 0.0167448 | + | 0.00491672i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 11.7816 | − | 3.45940i | 0.509364 | − | 0.149563i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.8744 | + | 34.7600i | −0.685029 | + | 1.50001i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −34.1054 | + | 21.9182i | −1.46902 | + | 0.944085i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.71171 | + | 32.7706i | 0.202572 | + | 1.40892i | 0.796615 | + | 0.604487i | \(0.206622\pi\) |
−0.594043 | + | 0.804433i | \(0.702469\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 18.1129 | − | 20.9034i | 0.777298 | − | 0.897050i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 9.13138 | + | 5.86838i | 0.391146 | + | 0.251374i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.81210 | + | 6.70752i | 0.248508 | + | 0.286793i | 0.866275 | − | 0.499568i | \(-0.166508\pi\) |
−0.617767 | + | 0.786361i | \(0.711963\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.13332 | + | 4.67132i | 0.0910479 | + | 0.199367i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.49355 | −0.191432 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.494847 | −0.0210430 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −2.05052 | − | 4.49000i | −0.0870396 | − | 0.190590i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.76373 | − | 4.34358i | −0.159474 | − | 0.184043i | 0.670389 | − | 0.742010i | \(-0.266127\pi\) |
−0.829864 | + | 0.557966i | \(0.811582\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.26456 | + | 1.45534i | 0.0957806 | + | 0.0615545i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 17.6787 | − | 20.4023i | 0.746396 | − | 0.861387i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 0.819990 | + | 5.70316i | 0.0345585 | + | 0.240359i | 0.999778 | − | 0.0210823i | \(-0.00671119\pi\) |
−0.965219 | + | 0.261442i | \(0.915802\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.1712 | + | 8.46461i | −0.554116 | + | 0.356109i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.154846 | + | 0.339066i | −0.00650294 | + | 0.0142394i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −22.0700 | + | 6.48033i | −0.925222 | + | 0.271670i | −0.709435 | − | 0.704771i | \(-0.751050\pi\) |
−0.215787 | + | 0.976440i | \(0.569232\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.06585 | − | 2.36835i | −0.337545 | − | 0.0991122i | 0.108567 | − | 0.994089i | \(-0.465374\pi\) |
−0.446113 | + | 0.894977i | \(0.647192\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.54339 | − | 45.5102i | 0.273354 | − | 1.90122i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.88373 | − | 4.41039i | −0.0785570 | − | 0.183926i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.26843 | + | 15.7773i | −0.0944360 | + | 0.656817i | 0.886535 | + | 0.462662i | \(0.153106\pi\) |
−0.980971 | + | 0.194155i | \(0.937803\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −32.2710 | − | 9.47562i | −1.34114 | − | 0.393793i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.825598 | − | 0.242418i | 0.0342516 | − | 0.0100572i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −20.9728 | + | 45.9239i | −0.868603 | + | 1.90197i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −12.1133 | + | 7.78476i | −0.500824 | + | 0.321860i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.47077 | − | 31.0949i | −0.184528 | − | 1.28342i | −0.845891 | − | 0.533356i | \(-0.820930\pi\) |
0.661362 | − | 0.750067i | \(-0.269979\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.47494 | + | 6.31842i | −0.225591 | + | 0.260346i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 7.20496 | + | 4.63035i | 0.296372 | + | 0.190467i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 12.5227 | + | 14.4520i | 0.514245 | + | 0.593471i | 0.952181 | − | 0.305536i | \(-0.0988356\pi\) |
−0.437935 | + | 0.899006i | \(0.644290\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.0478879 | + | 0.104860i | 0.00196321 | + | 0.00429883i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −61.1806 | −2.50395 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −39.8003 | −1.62620 | −0.813098 | − | 0.582126i | \(-0.802221\pi\) | ||||
−0.813098 | + | 0.582126i | \(0.802221\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.4277 | − | 25.0232i | −0.466145 | − | 1.02072i | −0.986044 | − | 0.166488i | \(-0.946757\pi\) |
0.519898 | − | 0.854228i | \(-0.325970\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 27.1552 | + | 31.3388i | 1.10585 | + | 1.27621i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 18.9979 | + | 12.2092i | 0.772374 | + | 0.496374i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.2039 | − | 23.3165i | 0.820051 | − | 0.946389i | −0.179249 | − | 0.983804i | \(-0.557367\pi\) |
0.999300 | + | 0.0374144i | \(0.0119121\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.0317722 | + | 0.220980i | 0.00128747 | + | 0.00895458i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.76774 | + | 1.77872i | −0.111971 | + | 0.0719592i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 18.1595 | − | 39.7637i | 0.733455 | − | 1.60604i | −0.0605756 | − | 0.998164i | \(-0.519294\pi\) |
0.794030 | − | 0.607878i | \(-0.207979\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.269942 | − | 0.0792621i | 0.0108851 | − | 0.00319616i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.3389 | − | 3.91666i | −0.537005 | − | 0.157679i | 0.00197396 | − | 0.999998i | \(-0.499372\pi\) |
−0.538979 | + | 0.842319i | \(0.681190\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.82263 | + | 33.5421i | −0.193838 | + | 1.34817i | 0.627895 | + | 0.778298i | \(0.283917\pi\) |
−0.821733 | + | 0.569873i | \(0.806992\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10.2242 | + | 2.72926i | −0.410283 | + | 0.109521i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.0217698 | + | 0.151412i | −0.000872187 | + | 0.00606619i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.959493 | − | 0.281733i | −0.0383797 | − | 0.0112693i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −49.5803 | + | 14.5581i | −1.98005 | + | 0.581394i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.39582 | − | 3.05642i | 0.0556550 | − | 0.121867i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.17855 | + | 4.61338i | −0.285774 | + | 0.183656i | −0.675672 | − | 0.737202i | \(-0.736146\pi\) |
0.389898 | + | 0.920858i | \(0.372510\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 10.0841 | + | 70.1365i | 0.400807 | + | 2.78768i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 9.03309 | − | 10.4247i | 0.358467 | − | 0.413693i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 22.0484 | + | 14.1696i | 0.873588 | + | 0.561421i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 27.9240 | + | 32.2261i | 1.10466 | + | 1.27484i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.62416 | − | 7.93581i | −0.143146 | − | 0.313445i | 0.824456 | − | 0.565926i | \(-0.191481\pi\) |
−0.967602 | + | 0.252480i | \(0.918754\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.118338 | −0.00466680 | −0.00233340 | − | 0.999997i | \(-0.500743\pi\) | ||||
−0.00233340 | + | 0.999997i | \(0.500743\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.87968 | 0.0740122 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 14.6796 | + | 32.1439i | 0.577115 | + | 1.26371i | 0.942922 | + | 0.333015i | \(0.108066\pi\) |
−0.365807 | + | 0.930691i | \(0.619207\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −58.1053 | − | 67.0571i | −2.28083 | − | 2.63222i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.349433 | + | 0.224567i | 0.0136954 | + | 0.00880148i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 28.0706 | − | 32.3952i | 1.09849 | − | 1.26772i | 0.137690 | − | 0.990475i | \(-0.456032\pi\) |
0.960798 | − | 0.277248i | \(-0.0894224\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.70244 | + | 18.7959i | 0.105593 | + | 0.734415i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 16.2493 | − | 10.4428i | 0.633945 | − | 0.407411i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.4612 | + | 29.4758i | −0.524373 | + | 1.14822i | 0.443385 | + | 0.896331i | \(0.353778\pi\) |
−0.967757 | + | 0.251885i | \(0.918950\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.0309 | + | 9.11149i | −1.20696 | + | 0.354396i | −0.822511 | − | 0.568749i | \(-0.807427\pi\) |
−0.384451 | + | 0.923145i | \(0.625609\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −16.7454 | − | 4.91691i | −0.650339 | − | 0.190957i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.0314021 | − | 0.218407i | 0.00121772 | − | 0.00846944i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.25725 | − | 4.67429i | 0.164841 | − | 0.180989i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.81608 | + | 12.6311i | −0.0702138 | + | 0.488348i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −7.42934 | − | 2.18145i | −0.286806 | − | 0.0842140i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 36.1768 | − | 10.6225i | 1.39451 | − | 0.409466i | 0.503717 | − | 0.863869i | \(-0.331965\pi\) |
0.890796 | + | 0.454403i | \(0.150147\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.916631 | + | 2.00714i | −0.0352811 | + | 0.0772549i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −28.2760 | + | 18.1719i | −1.08674 | + | 0.698403i | −0.956104 | − | 0.293028i | \(-0.905337\pi\) |
−0.130632 | + | 0.991431i | \(0.541701\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.0593290 | + | 0.412642i | 0.00227684 | + | 0.0158357i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −25.1702 | + | 29.0480i | −0.964525 | + | 1.11312i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0.546455 | + | 0.351185i | 0.0209095 | + | 0.0134377i | 0.551054 | − | 0.834470i | \(-0.314226\pi\) |
−0.530144 | + | 0.847907i | \(0.677862\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −10.5586 | − | 12.1853i | −0.403424 | − | 0.465576i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −12.1558 | − | 26.6175i | −0.463772 | − | 1.01552i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 32.6382 | 1.24342 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −44.9140 | −1.70861 | −0.854305 | − | 0.519773i | \(-0.826017\pi\) | ||||
−0.854305 | + | 0.519773i | \(0.826017\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.598968 | + | 1.31156i | 0.0227529 | + | 0.0498220i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −12.4540 | − | 14.3727i | −0.472409 | − | 0.545189i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.161110 | + | 0.103539i | 0.00610247 | + | 0.00392182i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −36.5737 | + | 42.2083i | −1.38335 | + | 1.59647i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.94415 | + | 13.5218i | 0.0734294 | + | 0.510713i | 0.993030 | + | 0.117859i | \(0.0376031\pi\) |
−0.919601 | + | 0.392854i | \(0.871488\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.41053 | + | 3.47713i | −0.204062 | + | 0.131143i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.954348 | + | 2.08973i | −0.0359428 | + | 0.0787038i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.705761 | − | 0.207230i | 0.0265429 | − | 0.00779370i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.8162 | + | 5.52494i | 0.706658 | + | 0.207493i | 0.615264 | − | 0.788321i | \(-0.289050\pi\) |
0.0913940 | + | 0.995815i | \(0.470868\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.18126 | − | 29.0813i | 0.156809 | − | 1.09063i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.38552 | − | 11.6813i | −0.0518882 | − | 0.437468i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.08973 | − | 21.4895i | 0.115549 | − | 0.803663i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 26.1916 | + | 7.69055i | 0.978144 | + | 0.287209i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 31.5351 | − | 9.25955i | 1.17606 | − | 0.345323i | 0.365408 | − | 0.930848i | \(-0.380930\pi\) |
0.810655 | + | 0.585524i | \(0.199111\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.470978 | − | 1.03130i | 0.0175402 | − | 0.0384076i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 59.2098 | − | 38.0518i | 2.20204 | − | 1.41516i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.187616 | − | 1.30490i | −0.00696789 | − | 0.0484627i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.7009 | − | 26.1983i | 0.841931 | − | 0.971641i | −0.157944 | − | 0.987448i | \(-0.550486\pi\) |
0.999875 | + | 0.0158076i | \(0.00503193\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −33.1859 | − | 21.3273i | −1.22911 | − | 0.789899i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.837913 | + | 0.967003i | 0.0309913 | + | 0.0357659i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.4169 | − | 33.7583i | −0.569437 | − | 1.24689i | −0.947097 | − | 0.320949i | \(-0.895998\pi\) |
0.377660 | − | 0.925944i | \(-0.376729\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 18.3011 | 0.675045 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −62.5228 | −2.30306 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.83154 | − | 21.5281i | −0.361659 | − | 0.791923i | −0.999759 | − | 0.0219691i | \(-0.993006\pi\) |
0.638100 | − | 0.769954i | \(-0.279721\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 21.8761 | + | 25.2463i | 0.803637 | + | 0.927447i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −35.4486 | − | 22.7814i | −1.30048 | − | 0.835769i | −0.307218 | − | 0.951639i | \(-0.599398\pi\) |
−0.993264 | + | 0.115870i | \(0.963034\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.87567 | − | 5.62682i | 0.178631 | − | 0.206151i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 7.27048 | + | 50.5673i | 0.266013 | + | 1.85016i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.668696 | + | 0.429745i | −0.0244336 | + | 0.0157025i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.9646 | − | 26.1989i | 0.436595 | − | 0.956010i | −0.555616 | − | 0.831439i | \(-0.687517\pi\) |
0.992211 | − | 0.124571i | \(-0.0397554\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −6.22514 | + | 1.82787i | −0.226857 | + | 0.0666112i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.64728 | − | 0.483684i | −0.0599506 | − | 0.0176031i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.514907 | − | 3.58125i | 0.0187146 | − | 0.130163i | −0.978322 | − | 0.207088i | \(-0.933601\pi\) |
0.997037 | + | 0.0769254i | \(0.0245103\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 31.8293 | − | 65.3669i | 1.15533 | − | 2.37267i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.04364 | − | 7.25865i | 0.0378318 | − | 0.263126i | −0.962123 | − | 0.272615i | \(-0.912111\pi\) |
0.999955 | + | 0.00948916i | \(0.00302054\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.674202 | − | 0.197964i | −0.0244078 | − | 0.00716677i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −6.56706 | + | 1.92826i | −0.237433 | + | 0.0697165i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −23.8288 | + | 52.1778i | −0.860408 | + | 1.88403i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.51169 | + | 2.25683i | −0.126635 | + | 0.0813833i | −0.602425 | − | 0.798176i | \(-0.705799\pi\) |
0.475790 | + | 0.879559i | \(0.342162\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.76885 | − | 40.1232i | −0.207760 | − | 1.44500i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.17733 | + | 9.43714i | −0.294118 | + | 0.339430i | −0.883506 | − | 0.468420i | \(-0.844823\pi\) |
0.589388 | + | 0.807850i | \(0.299369\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.06342 | − | 1.32608i | −0.0741202 | − | 0.0476341i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.209252 | + | 0.241489i | 0.00750686 | + | 0.00866338i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.152280 | − | 0.333446i | −0.00545599 | − | 0.0119470i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −64.2930 | −2.30058 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.90892 | −0.103956 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.11402 | − | 11.1981i | −0.182527 | − | 0.399679i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.202945 | − | 0.234211i | −0.00723422 | − | 0.00834873i | 0.752121 | − | 0.659025i | \(-0.229031\pi\) |
−0.759355 | + | 0.650676i | \(0.774485\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 24.6853 | + | 15.8642i | 0.878818 | + | 0.564782i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.663722 | − | 0.765976i | 0.0235992 | − | 0.0272350i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.712380 | + | 4.95471i | 0.0252974 | + | 0.175947i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 19.1726 | − | 12.3215i | 0.679980 | − | 0.436997i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.965264 | − | 2.11363i | 0.0341914 | − | 0.0748687i | −0.891766 | − | 0.452497i | \(-0.850533\pi\) |
0.925957 | + | 0.377629i | \(0.123260\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.50049 | + | 0.440583i | −0.0530835 | + | 0.0155867i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.71427 | − | 2.55874i | −0.307903 | − | 0.0904086i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −4.14468 | + | 28.8269i | −0.146263 | + | 1.01728i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.197440 | + | 0.239586i | 0.00695885 | + | 0.00844430i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 4.54038 | − | 31.5790i | 0.159829 | − | 1.11163i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 21.7237 | + | 6.37864i | 0.763763 | + | 0.224261i | 0.640339 | − | 0.768093i | \(-0.278794\pi\) |
0.123425 | + | 0.992354i | \(0.460612\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −13.2895 | + | 3.90216i | −0.466659 | + | 0.137023i | −0.506605 | − | 0.862178i | \(-0.669100\pi\) |
0.0399459 | + | 0.999202i | \(0.487281\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −14.8337 | + | 32.4813i | −0.520241 | + | 1.13917i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 9.88742 | − | 6.35426i | 0.346341 | − | 0.222580i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.348550 | − | 2.42422i | −0.0121942 | − | 0.0848127i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.610413 | − | 0.704454i | 0.0213296 | − | 0.0246156i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −20.5322 | − | 13.1952i | −0.716579 | − | 0.460517i | 0.130866 | − | 0.991400i | \(-0.458224\pi\) |
−0.847445 | + | 0.530883i | \(0.821860\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.65674 | − | 6.52822i | −0.197181 | − | 0.227560i | 0.648545 | − | 0.761176i | \(-0.275378\pi\) |
−0.845726 | + | 0.533617i | \(0.820832\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −6.29766 | − | 13.7900i | −0.219256 | − | 0.480105i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 29.6917 | 1.03248 | 0.516241 | − | 0.856444i | \(-0.327331\pi\) | ||||
0.516241 | + | 0.856444i | \(0.327331\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.5676 | −0.540684 | −0.270342 | − | 0.962764i | \(-0.587137\pi\) | ||||
−0.270342 | + | 0.962764i | \(0.587137\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 19.0674 | + | 41.7518i | 0.661440 | + | 1.44835i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 8.15815 | + | 9.41501i | 0.282663 | + | 0.326211i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.5049 | + | 11.8924i | 0.640390 | + | 0.411553i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −3.54423 | + | 4.09026i | −0.122506 | + | 0.141380i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 5.68380 | + | 39.5317i | 0.196227 | + | 1.36479i | 0.815112 | + | 0.579304i | \(0.196676\pi\) |
−0.618885 | + | 0.785482i | \(0.712415\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.9343 | + | 14.7390i | −0.790837 | + | 0.508240i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 25.5198 | − | 55.8806i | 0.878950 | − | 1.92463i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.993419 | + | 0.291694i | −0.0341747 | + | 0.0100346i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.40268 | − | 0.411864i | −0.0481967 | − | 0.0141518i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.57450 | + | 10.9509i | −0.0540367 | + | 0.375833i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.50901 | − | 8.92242i | 0.0517282 | − | 0.305857i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.92987 | + | 13.4226i | −0.0660775 | + | 0.459579i | 0.929740 | + | 0.368216i | \(0.120031\pi\) |
−0.995818 | + | 0.0913630i | \(0.970878\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.5700 | + | 3.69089i | 0.429886 | + | 0.126226i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −9.99575 | + | 2.93502i | −0.341448 | + | 0.100258i | −0.447961 | − | 0.894053i | \(-0.647850\pi\) |
0.106513 | + | 0.994311i | \(0.466031\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 19.8050 | − | 43.3668i | 0.675737 | − | 1.47966i | −0.191361 | − | 0.981520i | \(-0.561290\pi\) |
0.867098 | − | 0.498138i | \(-0.165983\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.0153213 | + | 0.00984637i | −0.000522147 | + | 0.000335563i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 6.18427 | + | 43.0125i | 0.210515 | + | 1.46416i | 0.771443 | + | 0.636299i | \(0.219536\pi\) |
−0.560928 | + | 0.827865i | \(0.689555\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.90175 | + | 5.65692i | −0.166665 | + | 0.192341i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 30.4336 | + | 19.5585i | 1.03358 | + | 0.664241i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 29.0095 | + | 33.4787i | 0.984079 | + | 1.13569i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.7909 | + | 36.7669i | 0.568938 | + | 1.24580i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −24.7515 | −0.837713 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.0647349 | 0.00218844 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.9995 | − | 41.6032i | −0.641569 | − | 1.40484i | −0.898743 | − | 0.438475i | \(-0.855519\pi\) |
0.257175 | − | 0.966365i | \(-0.417208\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −44.4477 | − | 51.2953i | −1.49918 | − | 1.73015i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.82325 | + | 1.17173i | 0.0614267 | + | 0.0394765i | 0.570994 | − | 0.820954i | \(-0.306558\pi\) |
−0.509567 | + | 0.860431i | \(0.670194\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.5814 | − | 23.7522i | 0.692619 | − | 0.799325i | −0.295116 | − | 0.955461i | \(-0.595358\pi\) |
0.987736 | + | 0.156136i | \(0.0499039\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 5.70029 | + | 39.6464i | 0.191613 | + | 1.33270i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −38.3656 | + | 24.6560i | −1.28819 | + | 0.827869i | −0.991874 | − | 0.127221i | \(-0.959394\pi\) |
−0.296315 | + | 0.955090i | \(0.595758\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.370944 | + | 0.812254i | −0.0124411 | + | 0.0272421i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 32.0170 | − | 9.40104i | 1.07261 | − | 0.314947i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.87209 | + | 0.843322i | 0.0961108 | + | 0.0282207i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.07886 | + | 14.4588i | −0.0694887 | + | 0.483305i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −46.9874 | − | 1.16274i | −1.56886 | − | 0.0388228i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.460183 | − | 3.20064i | 0.0153480 | − | 0.106747i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.8854 | + | 4.37076i | 0.495905 | + | 0.145611i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.116752 | + | 0.0342814i | −0.00388526 | + | 0.00114082i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 4.39220 | − | 9.61758i | 0.146002 | − | 0.319699i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 34.7055 | − | 22.3039i | 1.15238 | − | 0.740588i | 0.182267 | − | 0.983249i | \(-0.441657\pi\) |
0.970111 | + | 0.242661i | \(0.0780202\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.21515 | + | 43.2273i | 0.206144 | + | 1.43376i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 31.5909 | − | 36.4578i | 1.04665 | − | 1.20790i | 0.0690133 | − | 0.997616i | \(-0.478015\pi\) |
0.977640 | − | 0.210286i | \(-0.0674397\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −64.7998 | − | 41.6443i | −2.14456 | − | 1.37823i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.28895 | + | 2.64159i | 0.0756705 | + | 0.0873284i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.510653 | − | 1.11817i | −0.0168633 | − | 0.0369254i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 35.7960 | 1.18080 | 0.590400 | − | 0.807111i | \(-0.298970\pi\) | ||||
0.590400 | + | 0.807111i | \(0.298970\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.79452 | 0.125034 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 17.2663 | + | 37.8079i | 0.568327 | + | 1.24446i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.23564 | − | 1.42600i | −0.0406276 | − | 0.0468867i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 56.6280 | + | 36.3926i | 1.85991 | + | 1.19529i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −15.2927 | + | 17.6487i | −0.501737 | + | 0.579035i | −0.948964 | − | 0.315386i | \(-0.897866\pi\) |
0.447227 | + | 0.894420i | \(0.352412\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.39358 | − | 23.6029i | −0.111220 | − | 0.773553i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 5.47573 | − | 3.51904i | 0.179267 | − | 0.115208i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 4.28692 | − | 9.38705i | 0.140197 | − | 0.306989i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 30.1775 | − | 8.86091i | 0.985856 | − | 0.289473i | 0.251216 | − | 0.967931i | \(-0.419170\pi\) |
0.734639 | + | 0.678458i | \(0.237351\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 48.5406 | + | 14.2528i | 1.58406 | + | 0.465122i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −8.30548 | + | 57.7659i | −0.270751 | + | 1.88311i | 0.169937 | + | 0.985455i | \(0.445643\pi\) |
−0.440688 | + | 0.897660i | \(0.645266\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.491129 | + | 0.157506i | 0.0159934 | + | 0.00512912i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.0203283 | − | 0.141386i | 0.000661280 | − | 0.00459930i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.7574 | − | 7.85668i | −0.869498 | − | 0.255308i | −0.183596 | − | 0.983002i | \(-0.558774\pi\) |
−0.685902 | + | 0.727694i | \(0.740592\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.0649 | − | 5.30434i | 0.586412 | − | 0.172186i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −9.77334 | + | 21.4006i | −0.316922 | + | 0.693963i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 49.0251 | − | 31.5065i | 1.58808 | − | 1.02060i | 0.615464 | − | 0.788165i | \(-0.288969\pi\) |
0.972613 | − | 0.232430i | \(-0.0746678\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.50129 | − | 17.3969i | −0.0809399 | − | 0.562949i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 13.0878 | − | 15.1041i | 0.423068 | − | 0.488246i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.878059 | + | 0.564294i | 0.0283540 | + | 0.0182220i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 16.3609 | + | 18.8815i | 0.527772 | + | 0.609081i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −19.6051 | − | 42.9293i | −0.631767 | − | 1.38338i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −12.8568 | −0.413874 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.17064 | 0.262750 | 0.131375 | − | 0.991333i | \(-0.458061\pi\) | ||||
0.131375 | + | 0.991333i | \(0.458061\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.59622 | + | 14.4437i | 0.211901 | + | 0.463999i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14.7465 | − | 17.0184i | −0.473239 | − | 0.546147i | 0.468071 | − | 0.883691i | \(-0.344949\pi\) |
−0.941310 | + | 0.337544i | \(0.890404\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.03568 | + | 0.665593i | 0.0332025 | + | 0.0213379i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −6.41799 | + | 7.40676i | −0.205540 | + | 0.237206i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3.20452 | + | 22.2879i | 0.102522 | + | 0.713053i | 0.974643 | + | 0.223764i | \(0.0718346\pi\) |
−0.872122 | + | 0.489289i | \(0.837256\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.5199 | − | 7.40341i | 0.368179 | − | 0.236614i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 17.3307 | − | 37.9490i | 0.553327 | − | 1.21162i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −50.9802 | + | 14.9691i | −1.62602 | + | 0.477441i | −0.962626 | − | 0.270834i | \(-0.912701\pi\) |
−0.663389 | + | 0.748275i | \(0.730882\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.14129 | + | 0.922366i | 0.100090 | + | 0.0293890i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.0211648 | − | 0.147204i | 0.000673682 | − | 0.00468556i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.85194 | + | 1.93416i | 0.0906865 | + | 0.0615029i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.42836 | + | 37.7551i | −0.172437 | + | 1.19933i | 0.701277 | + | 0.712889i | \(0.252614\pi\) |
−0.873714 | + | 0.486440i | \(0.838295\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −11.5660 | − | 3.39608i | −0.367035 | − | 0.107771i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −22.4397 | + | 6.58889i | −0.711386 | + | 0.208882i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.4319 | − | 31.6014i | 0.457062 | − | 1.00083i | −0.531085 | − | 0.847319i | \(-0.678215\pi\) |
0.988147 | − | 0.153508i | \(-0.0490572\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −3.50253 | + | 2.25094i | −0.110815 | + | 0.0712165i |
(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 | 460.2.m.a.261.1 | yes | 30 | |
23.3 | even | 11 | inner | 460.2.m.a.141.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.a.141.1 | ✓ | 30 | 23.3 | even | 11 | inner | |
460.2.m.a.261.1 | yes | 30 | 1.1 | even | 1 | trivial |