Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(29,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.l (of order \(2\), degree \(1\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.1 | ||
Character | \(\chi\) | \(=\) | 280.29 |
Dual form | 280.2.l.a.29.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38397 | − | 0.290898i | −0.978616 | − | 0.205696i | ||||
\(3\) | −1.83171 | −1.05754 | −0.528770 | − | 0.848765i | \(-0.677347\pi\) | ||||
−0.528770 | + | 0.848765i | \(0.677347\pi\) | |||||||
\(4\) | 1.83076 | + | 0.805189i | 0.915379 | + | 0.402594i | ||||
\(5\) | 1.41945 | − | 1.72776i | 0.634797 | − | 0.772679i | ||||
\(6\) | 2.53504 | + | 0.532841i | 1.03493 | + | 0.217531i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | −2.29949 | − | 1.64692i | −0.812992 | − | 0.582275i | ||||
\(9\) | 0.355171 | 0.118390 | ||||||||
\(10\) | −2.46708 | + | 1.97826i | −0.780159 | + | 0.625581i | ||||
\(11\) | 1.36479i | 0.411499i | 0.978605 | + | 0.205750i | \(0.0659632\pi\) | ||||
−0.978605 | + | 0.205750i | \(0.934037\pi\) | |||||||
\(12\) | −3.35342 | − | 1.47487i | −0.968049 | − | 0.425760i | ||||
\(13\) | 3.84009 | 1.06505 | 0.532525 | − | 0.846414i | \(-0.321243\pi\) | ||||
0.532525 | + | 0.846414i | \(0.321243\pi\) | |||||||
\(14\) | 0.290898 | − | 1.38397i | 0.0777457 | − | 0.369882i | ||||
\(15\) | −2.60002 | + | 3.16476i | −0.671323 | + | 0.817139i | ||||
\(16\) | 2.70334 | + | 2.94821i | 0.675836 | + | 0.737052i | ||||
\(17\) | − | 4.27642i | − | 1.03718i | −0.855022 | − | 0.518592i | \(-0.826456\pi\) | ||
0.855022 | − | 0.518592i | \(-0.173544\pi\) | |||||||
\(18\) | −0.491547 | − | 0.103318i | −0.115859 | − | 0.0243524i | ||||
\(19\) | − | 3.72521i | − | 0.854621i | −0.904105 | − | 0.427311i | \(-0.859461\pi\) | ||
0.904105 | − | 0.427311i | \(-0.140539\pi\) | |||||||
\(20\) | 3.98984 | − | 2.02019i | 0.892156 | − | 0.451728i | ||||
\(21\) | − | 1.83171i | − | 0.399712i | ||||||
\(22\) | 0.397014 | − | 1.88883i | 0.0846436 | − | 0.402700i | ||||
\(23\) | − | 5.92347i | − | 1.23513i | −0.786520 | − | 0.617564i | \(-0.788119\pi\) | ||
0.786520 | − | 0.617564i | \(-0.211881\pi\) | |||||||
\(24\) | 4.21200 | + | 3.01669i | 0.859771 | + | 0.615779i | ||||
\(25\) | −0.970325 | − | 4.90494i | −0.194065 | − | 0.980989i | ||||
\(26\) | −5.31458 | − | 1.11707i | −1.04228 | − | 0.219076i | ||||
\(27\) | 4.84457 | 0.932337 | ||||||||
\(28\) | −0.805189 | + | 1.83076i | −0.152166 | + | 0.345981i | ||||
\(29\) | − | 7.35246i | − | 1.36532i | −0.730737 | − | 0.682659i | \(-0.760824\pi\) | ||
0.730737 | − | 0.682659i | \(-0.239176\pi\) | |||||||
\(30\) | 4.51898 | − | 3.62360i | 0.825050 | − | 0.661576i | ||||
\(31\) | −2.11284 | −0.379478 | −0.189739 | − | 0.981835i | \(-0.560764\pi\) | ||||
−0.189739 | + | 0.981835i | \(0.560764\pi\) | |||||||
\(32\) | −2.88372 | − | 4.86664i | −0.509775 | − | 0.860308i | ||||
\(33\) | − | 2.49990i | − | 0.435177i | ||||||
\(34\) | −1.24400 | + | 5.91844i | −0.213344 | + | 1.01500i | ||||
\(35\) | 1.72776 | + | 1.41945i | 0.292045 | + | 0.239931i | ||||
\(36\) | 0.650232 | + | 0.285980i | 0.108372 | + | 0.0476633i | ||||
\(37\) | 2.33445 | 0.383781 | 0.191890 | − | 0.981416i | \(-0.438538\pi\) | ||||
0.191890 | + | 0.981416i | \(0.438538\pi\) | |||||||
\(38\) | −1.08365 | + | 5.15558i | −0.175792 | + | 0.836346i | ||||
\(39\) | −7.03395 | −1.12633 | ||||||||
\(40\) | −6.10950 | + | 1.63525i | −0.965996 | + | 0.258555i | ||||
\(41\) | 10.1468 | 1.58466 | 0.792330 | − | 0.610093i | \(-0.208868\pi\) | ||||
0.792330 | + | 0.610093i | \(0.208868\pi\) | |||||||
\(42\) | −0.532841 | + | 2.53504i | −0.0822192 | + | 0.391165i | ||||
\(43\) | 0.234620 | 0.0357791 | 0.0178896 | − | 0.999840i | \(-0.494305\pi\) | ||||
0.0178896 | + | 0.999840i | \(0.494305\pi\) | |||||||
\(44\) | −1.09891 | + | 2.49860i | −0.165667 | + | 0.376678i | ||||
\(45\) | 0.504147 | − | 0.613651i | 0.0751539 | − | 0.0914777i | ||||
\(46\) | −1.72312 | + | 8.19792i | −0.254061 | + | 1.20872i | ||||
\(47\) | 9.73129i | 1.41946i | 0.704476 | + | 0.709728i | \(0.251182\pi\) | ||||
−0.704476 | + | 0.709728i | \(0.748818\pi\) | |||||||
\(48\) | −4.95175 | − | 5.40027i | −0.714723 | − | 0.779462i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −0.0839346 | + | 7.07057i | −0.0118702 | + | 0.999930i | ||||
\(51\) | 7.83317i | 1.09686i | ||||||||
\(52\) | 7.03028 | + | 3.09200i | 0.974924 | + | 0.428783i | ||||
\(53\) | −11.3946 | −1.56517 | −0.782587 | − | 0.622541i | \(-0.786100\pi\) | ||||
−0.782587 | + | 0.622541i | \(0.786100\pi\) | |||||||
\(54\) | −6.70474 | − | 1.40927i | −0.912400 | − | 0.191778i | ||||
\(55\) | 2.35803 | + | 1.93725i | 0.317957 | + | 0.261219i | ||||
\(56\) | 1.64692 | − | 2.29949i | 0.220079 | − | 0.307282i | ||||
\(57\) | 6.82351i | 0.903796i | ||||||||
\(58\) | −2.13881 | + | 10.1756i | −0.280840 | + | 1.33612i | ||||
\(59\) | − | 13.1591i | − | 1.71317i | −0.516003 | − | 0.856587i | \(-0.672581\pi\) | ||
0.516003 | − | 0.856587i | \(-0.327419\pi\) | |||||||
\(60\) | −7.30824 | + | 3.70040i | −0.943490 | + | 0.477720i | ||||
\(61\) | 6.91090i | 0.884850i | 0.896806 | + | 0.442425i | \(0.145882\pi\) | ||||
−0.896806 | + | 0.442425i | \(0.854118\pi\) | |||||||
\(62\) | 2.92411 | + | 0.614621i | 0.371363 | + | 0.0780569i | ||||
\(63\) | 0.355171i | 0.0447473i | ||||||||
\(64\) | 2.57530 | + | 7.57416i | 0.321912 | + | 0.946770i | ||||
\(65\) | 5.45082 | − | 6.63477i | 0.676091 | − | 0.822942i | ||||
\(66\) | −0.727215 | + | 3.45979i | −0.0895140 | + | 0.425871i | ||||
\(67\) | 5.95033 | 0.726949 | 0.363474 | − | 0.931604i | \(-0.381590\pi\) | ||||
0.363474 | + | 0.931604i | \(0.381590\pi\) | |||||||
\(68\) | 3.44332 | − | 7.82908i | 0.417564 | − | 0.949415i | ||||
\(69\) | 10.8501i | 1.30620i | ||||||||
\(70\) | −1.97826 | − | 2.46708i | −0.236447 | − | 0.294873i | ||||
\(71\) | 3.49386 | 0.414645 | 0.207322 | − | 0.978273i | \(-0.433525\pi\) | ||||
0.207322 | + | 0.978273i | \(0.433525\pi\) | |||||||
\(72\) | −0.816712 | − | 0.584939i | −0.0962504 | − | 0.0689357i | ||||
\(73\) | 2.20420i | 0.257982i | 0.991646 | + | 0.128991i | \(0.0411739\pi\) | ||||
−0.991646 | + | 0.128991i | \(0.958826\pi\) | |||||||
\(74\) | −3.23081 | − | 0.679085i | −0.375574 | − | 0.0789421i | ||||
\(75\) | 1.77736 | + | 8.98445i | 0.205231 | + | 1.03743i | ||||
\(76\) | 2.99949 | − | 6.81995i | 0.344066 | − | 0.782302i | ||||
\(77\) | −1.36479 | −0.155532 | ||||||||
\(78\) | 9.73479 | + | 2.04616i | 1.10225 | + | 0.231682i | ||||
\(79\) | −13.1691 | −1.48164 | −0.740819 | − | 0.671704i | \(-0.765563\pi\) | ||||
−0.740819 | + | 0.671704i | \(0.765563\pi\) | |||||||
\(80\) | 8.93106 | − | 0.485898i | 0.998523 | − | 0.0543250i | ||||
\(81\) | −9.93937 | −1.10437 | ||||||||
\(82\) | −14.0429 | − | 2.95167i | −1.55077 | − | 0.325958i | ||||
\(83\) | 6.90211 | 0.757605 | 0.378803 | − | 0.925478i | \(-0.376336\pi\) | ||||
0.378803 | + | 0.925478i | \(0.376336\pi\) | |||||||
\(84\) | 1.47487 | − | 3.35342i | 0.160922 | − | 0.365888i | ||||
\(85\) | −7.38863 | − | 6.07016i | −0.801410 | − | 0.658401i | ||||
\(86\) | −0.324707 | − | 0.0682503i | −0.0350140 | − | 0.00735962i | ||||
\(87\) | 13.4676i | 1.44388i | ||||||||
\(88\) | 2.24770 | − | 3.13832i | 0.239606 | − | 0.334546i | ||||
\(89\) | 8.59946 | 0.911541 | 0.455770 | − | 0.890097i | \(-0.349364\pi\) | ||||
0.455770 | + | 0.890097i | \(0.349364\pi\) | |||||||
\(90\) | −0.876236 | + | 0.702621i | −0.0923633 | + | 0.0740627i | ||||
\(91\) | 3.84009i | 0.402551i | ||||||||
\(92\) | 4.76951 | − | 10.8444i | 0.497256 | − | 1.13061i | ||||
\(93\) | 3.87012 | 0.401313 | ||||||||
\(94\) | 2.83081 | − | 13.4678i | 0.291976 | − | 1.38910i | ||||
\(95\) | −6.43627 | − | 5.28774i | −0.660348 | − | 0.542511i | ||||
\(96\) | 5.28215 | + | 8.91428i | 0.539107 | + | 0.909810i | ||||
\(97\) | 9.01176i | 0.915005i | 0.889208 | + | 0.457503i | \(0.151256\pi\) | ||||
−0.889208 | + | 0.457503i | \(0.848744\pi\) | |||||||
\(98\) | 1.38397 | + | 0.290898i | 0.139802 | + | 0.0293851i | ||||
\(99\) | 0.484733i | 0.0487175i | ||||||||
\(100\) | 2.17298 | − | 9.76105i | 0.217298 | − | 0.976105i | ||||
\(101\) | 9.39707i | 0.935043i | 0.883982 | + | 0.467522i | \(0.154853\pi\) | ||||
−0.883982 | + | 0.467522i | \(0.845147\pi\) | |||||||
\(102\) | 2.27865 | − | 10.8409i | 0.225620 | − | 1.07341i | ||||
\(103\) | − | 7.44864i | − | 0.733936i | −0.930234 | − | 0.366968i | \(-0.880396\pi\) | ||
0.930234 | − | 0.366968i | \(-0.119604\pi\) | |||||||
\(104\) | −8.83026 | − | 6.32434i | −0.865878 | − | 0.620152i | ||||
\(105\) | −3.16476 | − | 2.60002i | −0.308849 | − | 0.253736i | ||||
\(106\) | 15.7699 | + | 3.31468i | 1.53170 | + | 0.321950i | ||||
\(107\) | −7.42534 | −0.717835 | −0.358917 | − | 0.933369i | \(-0.616854\pi\) | ||||
−0.358917 | + | 0.933369i | \(0.616854\pi\) | |||||||
\(108\) | 8.86922 | + | 3.90079i | 0.853441 | + | 0.375354i | ||||
\(109\) | 5.06625i | 0.485259i | 0.970119 | + | 0.242629i | \(0.0780099\pi\) | ||||
−0.970119 | + | 0.242629i | \(0.921990\pi\) | |||||||
\(110\) | −2.69991 | − | 3.36704i | −0.257426 | − | 0.321035i | ||||
\(111\) | −4.27604 | −0.405863 | ||||||||
\(112\) | −2.94821 | + | 2.70334i | −0.278580 | + | 0.255442i | ||||
\(113\) | 4.60255i | 0.432971i | 0.976286 | + | 0.216486i | \(0.0694594\pi\) | ||||
−0.976286 | + | 0.216486i | \(0.930541\pi\) | |||||||
\(114\) | 1.98494 | − | 9.44354i | 0.185907 | − | 0.884469i | ||||
\(115\) | −10.2343 | − | 8.40807i | −0.954358 | − | 0.784056i | ||||
\(116\) | 5.92012 | − | 13.4606i | 0.549669 | − | 1.24978i | ||||
\(117\) | 1.36389 | 0.126092 | ||||||||
\(118\) | −3.82796 | + | 18.2119i | −0.352393 | + | 1.67654i | ||||
\(119\) | 4.27642 | 0.392019 | ||||||||
\(120\) | 11.1908 | − | 2.99530i | 1.02158 | − | 0.273433i | ||||
\(121\) | 9.13735 | 0.830668 | ||||||||
\(122\) | 2.01036 | − | 9.56449i | 0.182010 | − | 0.865928i | ||||
\(123\) | −18.5860 | −1.67584 | ||||||||
\(124\) | −3.86810 | − | 1.70124i | −0.347366 | − | 0.152776i | ||||
\(125\) | −9.85190 | − | 5.28583i | −0.881181 | − | 0.472779i | ||||
\(126\) | 0.103318 | − | 0.491547i | 0.00920434 | − | 0.0437905i | ||||
\(127\) | 7.68741i | 0.682147i | 0.940037 | + | 0.341074i | \(0.110791\pi\) | ||||
−0.940037 | + | 0.341074i | \(0.889209\pi\) | |||||||
\(128\) | −1.36084 | − | 11.2316i | −0.120282 | − | 0.992740i | ||||
\(129\) | −0.429756 | −0.0378379 | ||||||||
\(130\) | −9.47382 | + | 7.59671i | −0.830909 | + | 0.666275i | ||||
\(131\) | 9.17717i | 0.801813i | 0.916119 | + | 0.400907i | \(0.131305\pi\) | ||||
−0.916119 | + | 0.400907i | \(0.868695\pi\) | |||||||
\(132\) | 2.01289 | − | 4.57671i | 0.175200 | − | 0.398351i | ||||
\(133\) | 3.72521 | 0.323016 | ||||||||
\(134\) | −8.23509 | − | 1.73094i | −0.711404 | − | 0.149530i | ||||
\(135\) | 6.87662 | − | 8.37026i | 0.591845 | − | 0.720397i | ||||
\(136\) | −7.04292 | + | 9.83357i | −0.603926 | + | 0.843222i | ||||
\(137\) | − | 9.98734i | − | 0.853276i | −0.904422 | − | 0.426638i | \(-0.859698\pi\) | ||
0.904422 | − | 0.426638i | \(-0.140302\pi\) | |||||||
\(138\) | 3.15627 | − | 15.0162i | 0.268679 | − | 1.27827i | ||||
\(139\) | − | 5.23949i | − | 0.444407i | −0.975000 | − | 0.222204i | \(-0.928675\pi\) | ||
0.975000 | − | 0.222204i | \(-0.0713250\pi\) | |||||||
\(140\) | 2.02019 | + | 3.98984i | 0.170737 | + | 0.337203i | ||||
\(141\) | − | 17.8249i | − | 1.50113i | ||||||
\(142\) | −4.83540 | − | 1.01636i | −0.405778 | − | 0.0852907i | ||||
\(143\) | 5.24092i | 0.438268i | ||||||||
\(144\) | 0.960149 | + | 1.04712i | 0.0800124 | + | 0.0872599i | ||||
\(145\) | −12.7033 | − | 10.4364i | −1.05495 | − | 0.866700i | ||||
\(146\) | 0.641197 | − | 3.05055i | 0.0530659 | − | 0.252466i | ||||
\(147\) | 1.83171 | 0.151077 | ||||||||
\(148\) | 4.27381 | + | 1.87967i | 0.351305 | + | 0.154508i | ||||
\(149\) | 21.1821i | 1.73531i | 0.497168 | + | 0.867654i | \(0.334373\pi\) | ||||
−0.497168 | + | 0.867654i | \(0.665627\pi\) | |||||||
\(150\) | 0.153744 | − | 12.9513i | 0.0125532 | − | 1.05747i | ||||
\(151\) | 20.1991 | 1.64378 | 0.821892 | − | 0.569644i | \(-0.192919\pi\) | ||||
0.821892 | + | 0.569644i | \(0.192919\pi\) | |||||||
\(152\) | −6.13512 | + | 8.56607i | −0.497624 | + | 0.694800i | ||||
\(153\) | − | 1.51886i | − | 0.122792i | ||||||
\(154\) | 1.88883 | + | 0.397014i | 0.152206 | + | 0.0319923i | ||||
\(155\) | −2.99907 | + | 3.65049i | −0.240891 | + | 0.293214i | ||||
\(156\) | −12.8775 | − | 5.66366i | −1.03102 | − | 0.453455i | ||||
\(157\) | 10.6974 | 0.853748 | 0.426874 | − | 0.904311i | \(-0.359615\pi\) | ||||
0.426874 | + | 0.904311i | \(0.359615\pi\) | |||||||
\(158\) | 18.2257 | + | 3.83086i | 1.44996 | + | 0.304767i | ||||
\(159\) | 20.8717 | 1.65523 | ||||||||
\(160\) | −12.5017 | − | 1.92556i | −0.988345 | − | 0.152229i | ||||
\(161\) | 5.92347 | 0.466835 | ||||||||
\(162\) | 13.7558 | + | 2.89134i | 1.08076 | + | 0.227165i | ||||
\(163\) | −1.78960 | −0.140173 | −0.0700863 | − | 0.997541i | \(-0.522327\pi\) | ||||
−0.0700863 | + | 0.997541i | \(0.522327\pi\) | |||||||
\(164\) | 18.5763 | + | 8.17007i | 1.45056 | + | 0.637975i | ||||
\(165\) | −4.31923 | − | 3.54848i | −0.336252 | − | 0.276249i | ||||
\(166\) | −9.55233 | − | 2.00781i | −0.741404 | − | 0.155836i | ||||
\(167\) | − | 8.12242i | − | 0.628531i | −0.949335 | − | 0.314266i | \(-0.898242\pi\) | ||
0.949335 | − | 0.314266i | \(-0.101758\pi\) | |||||||
\(168\) | −3.01669 | + | 4.21200i | −0.232742 | + | 0.324963i | ||||
\(169\) | 1.74633 | 0.134333 | ||||||||
\(170\) | 8.45986 | + | 10.5503i | 0.648842 | + | 0.809169i | ||||
\(171\) | − | 1.32309i | − | 0.101179i | ||||||
\(172\) | 0.429531 | + | 0.188913i | 0.0327515 | + | 0.0144045i | ||||
\(173\) | 4.00480 | 0.304479 | 0.152240 | − | 0.988344i | \(-0.451351\pi\) | ||||
0.152240 | + | 0.988344i | \(0.451351\pi\) | |||||||
\(174\) | 3.91769 | − | 18.6388i | 0.297000 | − | 1.41300i | ||||
\(175\) | 4.90494 | − | 0.970325i | 0.370779 | − | 0.0733497i | ||||
\(176\) | −4.02368 | + | 3.68949i | −0.303296 | + | 0.278106i | ||||
\(177\) | 24.1038i | 1.81175i | ||||||||
\(178\) | −11.9014 | − | 2.50156i | −0.892049 | − | 0.187500i | ||||
\(179\) | − | 0.524171i | − | 0.0391784i | −0.999808 | − | 0.0195892i | \(-0.993764\pi\) | ||
0.999808 | − | 0.0195892i | \(-0.00623583\pi\) | |||||||
\(180\) | 1.41708 | − | 0.717512i | 0.105623 | − | 0.0534802i | ||||
\(181\) | − | 8.89156i | − | 0.660905i | −0.943823 | − | 0.330452i | \(-0.892799\pi\) | ||
0.943823 | − | 0.330452i | \(-0.107201\pi\) | |||||||
\(182\) | 1.11707 | − | 5.31458i | 0.0828031 | − | 0.393943i | ||||
\(183\) | − | 12.6588i | − | 0.935764i | ||||||
\(184\) | −9.75549 | + | 13.6210i | −0.719184 | + | 1.00415i | ||||
\(185\) | 3.31363 | − | 4.03337i | 0.243623 | − | 0.296539i | ||||
\(186\) | −5.35614 | − | 1.12581i | −0.392731 | − | 0.0825483i | ||||
\(187\) | 5.83640 | 0.426800 | ||||||||
\(188\) | −7.83553 | + | 17.8156i | −0.571465 | + | 1.29934i | ||||
\(189\) | 4.84457i | 0.352390i | ||||||||
\(190\) | 7.36943 | + | 9.19039i | 0.534634 | + | 0.666741i | ||||
\(191\) | −12.8169 | −0.927399 | −0.463700 | − | 0.885992i | \(-0.653478\pi\) | ||||
−0.463700 | + | 0.885992i | \(0.653478\pi\) | |||||||
\(192\) | −4.71721 | − | 13.8737i | −0.340435 | − | 1.00125i | ||||
\(193\) | 2.52960i | 0.182085i | 0.995847 | + | 0.0910424i | \(0.0290199\pi\) | ||||
−0.995847 | + | 0.0910424i | \(0.970980\pi\) | |||||||
\(194\) | 2.62150 | − | 12.4720i | 0.188213 | − | 0.895439i | ||||
\(195\) | −9.98434 | + | 12.1530i | −0.714993 | + | 0.870294i | ||||
\(196\) | −1.83076 | − | 0.805189i | −0.130768 | − | 0.0575135i | ||||
\(197\) | −23.6070 | −1.68193 | −0.840963 | − | 0.541092i | \(-0.818011\pi\) | ||||
−0.840963 | + | 0.541092i | \(0.818011\pi\) | |||||||
\(198\) | 0.141008 | − | 0.670857i | 0.0100210 | − | 0.0476758i | ||||
\(199\) | 10.2257 | 0.724877 | 0.362439 | − | 0.932008i | \(-0.381944\pi\) | ||||
0.362439 | + | 0.932008i | \(0.381944\pi\) | |||||||
\(200\) | −5.84681 | + | 12.8769i | −0.413432 | + | 0.910535i | ||||
\(201\) | −10.8993 | −0.768777 | ||||||||
\(202\) | 2.73359 | − | 13.0053i | 0.192334 | − | 0.915048i | ||||
\(203\) | 7.35246 | 0.516042 | ||||||||
\(204\) | −6.30718 | + | 14.3406i | −0.441591 | + | 1.00404i | ||||
\(205\) | 14.4028 | − | 17.5312i | 1.00594 | − | 1.22443i | ||||
\(206\) | −2.16679 | + | 10.3087i | −0.150968 | + | 0.718242i | ||||
\(207\) | − | 2.10384i | − | 0.146227i | ||||||
\(208\) | 10.3811 | + | 11.3214i | 0.719799 | + | 0.784998i | ||||
\(209\) | 5.08412 | 0.351676 | ||||||||
\(210\) | 3.62360 | + | 4.51898i | 0.250052 | + | 0.311839i | ||||
\(211\) | − | 19.2218i | − | 1.32329i | −0.749819 | − | 0.661643i | \(-0.769860\pi\) | ||
0.749819 | − | 0.661643i | \(-0.230140\pi\) | |||||||
\(212\) | −20.8608 | − | 9.17484i | −1.43273 | − | 0.630130i | ||||
\(213\) | −6.39975 | −0.438503 | ||||||||
\(214\) | 10.2765 | + | 2.16001i | 0.702485 | + | 0.147656i | ||||
\(215\) | 0.333031 | − | 0.405367i | 0.0227125 | − | 0.0276458i | ||||
\(216\) | −11.1400 | − | 7.97862i | −0.757983 | − | 0.542876i | ||||
\(217\) | − | 2.11284i | − | 0.143429i | ||||||
\(218\) | 1.47376 | − | 7.01155i | 0.0998156 | − | 0.474882i | ||||
\(219\) | − | 4.03746i | − | 0.272827i | ||||||
\(220\) | 2.75713 | + | 5.44529i | 0.185886 | + | 0.367121i | ||||
\(221\) | − | 16.4218i | − | 1.10465i | ||||||
\(222\) | 5.91791 | + | 1.24389i | 0.397184 | + | 0.0834844i | ||||
\(223\) | − | 14.4606i | − | 0.968353i | −0.874970 | − | 0.484177i | \(-0.839119\pi\) | ||
0.874970 | − | 0.484177i | \(-0.160881\pi\) | |||||||
\(224\) | 4.86664 | − | 2.88372i | 0.325166 | − | 0.192677i | ||||
\(225\) | −0.344631 | − | 1.74209i | −0.0229754 | − | 0.116140i | ||||
\(226\) | 1.33887 | − | 6.36980i | 0.0890604 | − | 0.423713i | ||||
\(227\) | −10.3997 | −0.690255 | −0.345128 | − | 0.938556i | \(-0.612164\pi\) | ||||
−0.345128 | + | 0.938556i | \(0.612164\pi\) | |||||||
\(228\) | −5.49421 | + | 12.4922i | −0.363863 | + | 0.827315i | ||||
\(229\) | 19.3490i | 1.27862i | 0.768951 | + | 0.639308i | \(0.220779\pi\) | ||||
−0.768951 | + | 0.639308i | \(0.779221\pi\) | |||||||
\(230\) | 11.7182 | + | 14.6137i | 0.772673 | + | 0.963597i | ||||
\(231\) | 2.49990 | 0.164481 | ||||||||
\(232\) | −12.1089 | + | 16.9069i | −0.794990 | + | 1.10999i | ||||
\(233\) | 27.8455i | 1.82422i | 0.409949 | + | 0.912108i | \(0.365546\pi\) | ||||
−0.409949 | + | 0.912108i | \(0.634454\pi\) | |||||||
\(234\) | −1.88759 | − | 0.396753i | −0.123395 | − | 0.0259365i | ||||
\(235\) | 16.8134 | + | 13.8131i | 1.09678 | + | 0.901066i | ||||
\(236\) | 10.5956 | − | 24.0912i | 0.689714 | − | 1.56820i | ||||
\(237\) | 24.1220 | 1.56689 | ||||||||
\(238\) | −5.91844 | − | 1.24400i | −0.383636 | − | 0.0806365i | ||||
\(239\) | −13.7910 | −0.892065 | −0.446032 | − | 0.895017i | \(-0.647163\pi\) | ||||
−0.446032 | + | 0.895017i | \(0.647163\pi\) | |||||||
\(240\) | −16.3591 | + | 0.890025i | −1.05598 | + | 0.0574509i | ||||
\(241\) | −30.8170 | −1.98510 | −0.992550 | − | 0.121835i | \(-0.961122\pi\) | ||||
−0.992550 | + | 0.121835i | \(0.961122\pi\) | |||||||
\(242\) | −12.6458 | − | 2.65804i | −0.812905 | − | 0.170865i | ||||
\(243\) | 3.67236 | 0.235582 | ||||||||
\(244\) | −5.56458 | + | 12.6522i | −0.356236 | + | 0.809973i | ||||
\(245\) | −1.41945 | + | 1.72776i | −0.0906853 | + | 0.110383i | ||||
\(246\) | 25.7225 | + | 5.40662i | 1.64000 | + | 0.344713i | ||||
\(247\) | − | 14.3051i | − | 0.910215i | ||||||
\(248\) | 4.85846 | + | 3.47968i | 0.308512 | + | 0.220960i | ||||
\(249\) | −12.6427 | −0.801198 | ||||||||
\(250\) | 12.0971 | + | 10.1813i | 0.765089 | + | 0.643924i | ||||
\(251\) | 16.9921i | 1.07253i | 0.844048 | + | 0.536267i | \(0.180166\pi\) | ||||
−0.844048 | + | 0.536267i | \(0.819834\pi\) | |||||||
\(252\) | −0.285980 | + | 0.650232i | −0.0180150 | + | 0.0409608i | ||||
\(253\) | 8.08428 | 0.508255 | ||||||||
\(254\) | 2.23625 | − | 10.6392i | 0.140315 | − | 0.667560i | ||||
\(255\) | 13.5339 | + | 11.1188i | 0.847523 | + | 0.696285i | ||||
\(256\) | −1.38388 | + | 15.9400i | −0.0864925 | + | 0.996253i | ||||
\(257\) | − | 8.91195i | − | 0.555912i | −0.960594 | − | 0.277956i | \(-0.910343\pi\) | ||
0.960594 | − | 0.277956i | \(-0.0896570\pi\) | |||||||
\(258\) | 0.594770 | + | 0.125015i | 0.0370287 | + | 0.00778309i | ||||
\(259\) | 2.33445i | 0.145056i | ||||||||
\(260\) | 15.3214 | − | 7.75771i | 0.950191 | − | 0.481113i | ||||
\(261\) | − | 2.61138i | − | 0.161640i | ||||||
\(262\) | 2.66962 | − | 12.7010i | 0.164930 | − | 0.784667i | ||||
\(263\) | 24.5263i | 1.51235i | 0.654367 | + | 0.756177i | \(0.272935\pi\) | ||||
−0.654367 | + | 0.756177i | \(0.727065\pi\) | |||||||
\(264\) | −4.11714 | + | 5.74849i | −0.253392 | + | 0.353795i | ||||
\(265\) | −16.1741 | + | 19.6872i | −0.993568 | + | 1.20938i | ||||
\(266\) | −5.15558 | − | 1.08365i | −0.316109 | − | 0.0664431i | ||||
\(267\) | −15.7517 | −0.963991 | ||||||||
\(268\) | 10.8936 | + | 4.79114i | 0.665433 | + | 0.292665i | ||||
\(269\) | 8.90520i | 0.542959i | 0.962444 | + | 0.271480i | \(0.0875130\pi\) | ||||
−0.962444 | + | 0.271480i | \(0.912487\pi\) | |||||||
\(270\) | −11.9519 | + | 9.58381i | −0.727372 | + | 0.583252i | ||||
\(271\) | −10.0308 | −0.609325 | −0.304663 | − | 0.952460i | \(-0.598544\pi\) | ||||
−0.304663 | + | 0.952460i | \(0.598544\pi\) | |||||||
\(272\) | 12.6078 | − | 11.5606i | 0.764459 | − | 0.700966i | ||||
\(273\) | − | 7.03395i | − | 0.425714i | ||||||
\(274\) | −2.90529 | + | 13.8222i | −0.175515 | + | 0.835029i | ||||
\(275\) | 6.69421 | − | 1.32429i | 0.403676 | − | 0.0798576i | ||||
\(276\) | −8.73637 | + | 19.8639i | −0.525868 | + | 1.19567i | ||||
\(277\) | 10.5093 | 0.631443 | 0.315721 | − | 0.948852i | \(-0.397754\pi\) | ||||
0.315721 | + | 0.948852i | \(0.397754\pi\) | |||||||
\(278\) | −1.52415 | + | 7.25130i | −0.0914127 | + | 0.434904i | ||||
\(279\) | −0.750420 | −0.0449265 | ||||||||
\(280\) | −1.63525 | − | 6.10950i | −0.0977247 | − | 0.365112i | ||||
\(281\) | −29.9327 | −1.78564 | −0.892818 | − | 0.450417i | \(-0.851275\pi\) | ||||
−0.892818 | + | 0.450417i | \(0.851275\pi\) | |||||||
\(282\) | −5.18523 | + | 24.6692i | −0.308776 | + | 1.46903i | ||||
\(283\) | 28.9911 | 1.72334 | 0.861670 | − | 0.507470i | \(-0.169419\pi\) | ||||
0.861670 | + | 0.507470i | \(0.169419\pi\) | |||||||
\(284\) | 6.39641 | + | 2.81322i | 0.379557 | + | 0.166934i | ||||
\(285\) | 11.7894 | + | 9.68563i | 0.698344 | + | 0.573727i | ||||
\(286\) | 1.52457 | − | 7.25328i | 0.0901498 | − | 0.428896i | ||||
\(287\) | 10.1468i | 0.598945i | ||||||||
\(288\) | −1.02421 | − | 1.72849i | −0.0603524 | − | 0.101852i | ||||
\(289\) | −1.28774 | −0.0757496 | ||||||||
\(290\) | 14.5451 | + | 18.1391i | 0.854116 | + | 1.06517i | ||||
\(291\) | − | 16.5070i | − | 0.967655i | ||||||
\(292\) | −1.77480 | + | 4.03536i | −0.103862 | + | 0.236151i | ||||
\(293\) | 5.38493 | 0.314591 | 0.157295 | − | 0.987552i | \(-0.449723\pi\) | ||||
0.157295 | + | 0.987552i | \(0.449723\pi\) | |||||||
\(294\) | −2.53504 | − | 0.532841i | −0.147846 | − | 0.0310759i | ||||
\(295\) | −22.7359 | − | 18.6787i | −1.32373 | − | 1.08752i | ||||
\(296\) | −5.36804 | − | 3.84465i | −0.312011 | − | 0.223466i | ||||
\(297\) | 6.61181i | 0.383656i | ||||||||
\(298\) | 6.16184 | − | 29.3155i | 0.356946 | − | 1.69820i | ||||
\(299\) | − | 22.7467i | − | 1.31547i | ||||||
\(300\) | −3.98027 | + | 17.8794i | −0.229801 | + | 1.03227i | ||||
\(301\) | 0.234620i | 0.0135232i | ||||||||
\(302\) | −27.9551 | − | 5.87589i | −1.60863 | − | 0.338119i | ||||
\(303\) | − | 17.2127i | − | 0.988845i | ||||||
\(304\) | 10.9827 | − | 10.0705i | 0.629900 | − | 0.577583i | ||||
\(305\) | 11.9404 | + | 9.80967i | 0.683705 | + | 0.561700i | ||||
\(306\) | −0.441833 | + | 2.10206i | −0.0252579 | + | 0.120167i | ||||
\(307\) | 18.8807 | 1.07758 | 0.538789 | − | 0.842441i | \(-0.318882\pi\) | ||||
0.538789 | + | 0.842441i | \(0.318882\pi\) | |||||||
\(308\) | −2.49860 | − | 1.09891i | −0.142371 | − | 0.0626163i | ||||
\(309\) | 13.6438i | 0.776167i | ||||||||
\(310\) | 5.21255 | − | 4.17975i | 0.296053 | − | 0.237394i | ||||
\(311\) | 9.76621 | 0.553791 | 0.276896 | − | 0.960900i | \(-0.410694\pi\) | ||||
0.276896 | + | 0.960900i | \(0.410694\pi\) | |||||||
\(312\) | 16.1745 | + | 11.5844i | 0.915700 | + | 0.655835i | ||||
\(313\) | − | 19.2542i | − | 1.08831i | −0.838983 | − | 0.544157i | \(-0.816850\pi\) | ||
0.838983 | − | 0.544157i | \(-0.183150\pi\) | |||||||
\(314\) | −14.8049 | − | 3.11186i | −0.835491 | − | 0.175612i | ||||
\(315\) | 0.613651 | + | 0.504147i | 0.0345753 | + | 0.0284055i | ||||
\(316\) | −24.1094 | − | 10.6036i | −1.35626 | − | 0.596499i | ||||
\(317\) | 4.71367 | 0.264746 | 0.132373 | − | 0.991200i | \(-0.457740\pi\) | ||||
0.132373 | + | 0.991200i | \(0.457740\pi\) | |||||||
\(318\) | −28.8859 | − | 6.07153i | −1.61984 | − | 0.340475i | ||||
\(319\) | 10.0346 | 0.561827 | ||||||||
\(320\) | 16.7418 | + | 6.30163i | 0.935898 | + | 0.352272i | ||||
\(321\) | 13.6011 | 0.759139 | ||||||||
\(322\) | −8.19792 | − | 1.72312i | −0.456852 | − | 0.0960259i | ||||
\(323\) | −15.9305 | −0.886399 | ||||||||
\(324\) | −18.1966 | − | 8.00307i | −1.01092 | − | 0.444615i | ||||
\(325\) | −3.72614 | − | 18.8354i | −0.206689 | − | 1.04480i | ||||
\(326\) | 2.47676 | + | 0.520592i | 0.137175 | + | 0.0288329i | ||||
\(327\) | − | 9.27991i | − | 0.513180i | ||||||
\(328\) | −23.3324 | − | 16.7109i | −1.28832 | − | 0.922708i | ||||
\(329\) | −9.73129 | −0.536504 | ||||||||
\(330\) | 4.94545 | + | 6.16746i | 0.272238 | + | 0.339507i | ||||
\(331\) | − | 12.3760i | − | 0.680244i | −0.940381 | − | 0.340122i | \(-0.889532\pi\) | ||
0.940381 | − | 0.340122i | \(-0.110468\pi\) | |||||||
\(332\) | 12.6361 | + | 5.55750i | 0.693495 | + | 0.305008i | ||||
\(333\) | 0.829128 | 0.0454359 | ||||||||
\(334\) | −2.36279 | + | 11.2412i | −0.129286 | + | 0.615091i | ||||
\(335\) | 8.44620 | − | 10.2808i | 0.461465 | − | 0.561698i | ||||
\(336\) | 5.40027 | − | 4.95175i | 0.294609 | − | 0.270140i | ||||
\(337\) | 23.4702i | 1.27850i | 0.768997 | + | 0.639252i | \(0.220756\pi\) | ||||
−0.768997 | + | 0.639252i | \(0.779244\pi\) | |||||||
\(338\) | −2.41687 | − | 0.508003i | −0.131460 | − | 0.0276317i | ||||
\(339\) | − | 8.43054i | − | 0.457884i | ||||||
\(340\) | −8.63917 | − | 17.0622i | −0.468525 | − | 0.925329i | ||||
\(341\) | − | 2.88358i | − | 0.156155i | ||||||
\(342\) | −0.384883 | + | 1.83111i | −0.0208121 | + | 0.0990153i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | −0.539505 | − | 0.386400i | −0.0290882 | − | 0.0208333i | ||||
\(345\) | 18.7464 | + | 15.4012i | 1.00927 | + | 0.829171i | ||||
\(346\) | −5.54253 | − | 1.16499i | −0.297968 | − | 0.0626301i | ||||
\(347\) | 21.3424 | 1.14572 | 0.572861 | − | 0.819653i | \(-0.305834\pi\) | ||||
0.572861 | + | 0.819653i | \(0.305834\pi\) | |||||||
\(348\) | −10.8440 | + | 24.6559i | −0.581297 | + | 1.32169i | ||||
\(349\) | − | 3.50818i | − | 0.187789i | −0.995582 | − | 0.0938943i | \(-0.970068\pi\) | ||
0.995582 | − | 0.0938943i | \(-0.0299316\pi\) | |||||||
\(350\) | −7.07057 | − | 0.0839346i | −0.377938 | − | 0.00448650i | ||||
\(351\) | 18.6036 | 0.992986 | ||||||||
\(352\) | 6.64193 | − | 3.93567i | 0.354016 | − | 0.209772i | ||||
\(353\) | − | 35.4482i | − | 1.88672i | −0.331773 | − | 0.943359i | \(-0.607647\pi\) | ||
0.331773 | − | 0.943359i | \(-0.392353\pi\) | |||||||
\(354\) | 7.01173 | − | 33.3589i | 0.372669 | − | 1.77301i | ||||
\(355\) | 4.95936 | − | 6.03656i | 0.263215 | − | 0.320387i | ||||
\(356\) | 15.7435 | + | 6.92419i | 0.834405 | + | 0.366981i | ||||
\(357\) | −7.83317 | −0.414575 | ||||||||
\(358\) | −0.152480 | + | 0.725438i | −0.00805883 | + | 0.0383406i | ||||
\(359\) | −17.0959 | −0.902285 | −0.451143 | − | 0.892452i | \(-0.648983\pi\) | ||||
−0.451143 | + | 0.892452i | \(0.648983\pi\) | |||||||
\(360\) | −2.16992 | + | 0.580792i | −0.114365 | + | 0.0306105i | ||||
\(361\) | 5.12283 | 0.269623 | ||||||||
\(362\) | −2.58654 | + | 12.3057i | −0.135945 | + | 0.646772i | ||||
\(363\) | −16.7370 | −0.878465 | ||||||||
\(364\) | −3.09200 | + | 7.03028i | −0.162065 | + | 0.368487i | ||||
\(365\) | 3.80834 | + | 3.12875i | 0.199337 | + | 0.163766i | ||||
\(366\) | −3.68241 | + | 17.5194i | −0.192483 | + | 0.915754i | ||||
\(367\) | − | 13.1849i | − | 0.688247i | −0.938924 | − | 0.344123i | \(-0.888176\pi\) | ||
0.938924 | − | 0.344123i | \(-0.111824\pi\) | |||||||
\(368\) | 17.4636 | − | 16.0132i | 0.910355 | − | 0.834744i | ||||
\(369\) | 3.60384 | 0.187608 | ||||||||
\(370\) | −5.75927 | + | 4.61814i | −0.299410 | + | 0.240086i | ||||
\(371\) | − | 11.3946i | − | 0.591580i | ||||||
\(372\) | 7.08525 | + | 3.11618i | 0.367353 | + | 0.161566i | ||||
\(373\) | −20.7850 | −1.07621 | −0.538104 | − | 0.842879i | \(-0.680859\pi\) | ||||
−0.538104 | + | 0.842879i | \(0.680859\pi\) | |||||||
\(374\) | −8.07742 | − | 1.69780i | −0.417673 | − | 0.0877910i | ||||
\(375\) | 18.0459 | + | 9.68212i | 0.931884 | + | 0.499983i | ||||
\(376\) | 16.0267 | − | 22.3770i | 0.826513 | − | 1.15401i | ||||
\(377\) | − | 28.2341i | − | 1.45413i | ||||||
\(378\) | 1.40927 | − | 6.70474i | 0.0724852 | − | 0.344855i | ||||
\(379\) | − | 36.4225i | − | 1.87090i | −0.353460 | − | 0.935450i | \(-0.614995\pi\) | ||
0.353460 | − | 0.935450i | \(-0.385005\pi\) | |||||||
\(380\) | −7.52562 | − | 14.8630i | −0.386056 | − | 0.762455i | ||||
\(381\) | − | 14.0811i | − | 0.721398i | ||||||
\(382\) | 17.7382 | + | 3.72841i | 0.907568 | + | 0.190762i | ||||
\(383\) | 29.9092i | 1.52829i | 0.645044 | + | 0.764145i | \(0.276839\pi\) | ||||
−0.645044 | + | 0.764145i | \(0.723161\pi\) | |||||||
\(384\) | 2.49266 | + | 20.5730i | 0.127203 | + | 1.04986i | ||||
\(385\) | −1.93725 | + | 2.35803i | −0.0987313 | + | 0.120176i | ||||
\(386\) | 0.735856 | − | 3.50090i | 0.0374541 | − | 0.178191i | ||||
\(387\) | 0.0833301 | 0.00423590 | ||||||||
\(388\) | −7.25617 | + | 16.4983i | −0.368376 | + | 0.837576i | ||||
\(389\) | 7.71507i | 0.391170i | 0.980687 | + | 0.195585i | \(0.0626605\pi\) | ||||
−0.980687 | + | 0.195585i | \(0.937340\pi\) | |||||||
\(390\) | 17.3533 | − | 13.9150i | 0.878720 | − | 0.704612i | ||||
\(391\) | −25.3312 | −1.28106 | ||||||||
\(392\) | 2.29949 | + | 1.64692i | 0.116142 | + | 0.0831821i | ||||
\(393\) | − | 16.8099i | − | 0.847950i | ||||||
\(394\) | 32.6714 | + | 6.86721i | 1.64596 | + | 0.345965i | ||||
\(395\) | −18.6929 | + | 22.7531i | −0.940540 | + | 1.14483i | ||||
\(396\) | −0.390302 | + | 0.887429i | −0.0196134 | + | 0.0445950i | ||||
\(397\) | −2.95881 | −0.148498 | −0.0742491 | − | 0.997240i | \(-0.523656\pi\) | ||||
−0.0742491 | + | 0.997240i | \(0.523656\pi\) | |||||||
\(398\) | −14.1520 | − | 2.97462i | −0.709376 | − | 0.149104i | ||||
\(399\) | −6.82351 | −0.341603 | ||||||||
\(400\) | 11.8377 | − | 16.1205i | 0.591884 | − | 0.806023i | ||||
\(401\) | 30.7112 | 1.53364 | 0.766822 | − | 0.641859i | \(-0.221837\pi\) | ||||
0.766822 | + | 0.641859i | \(0.221837\pi\) | |||||||
\(402\) | 15.0843 | + | 3.17058i | 0.752338 | + | 0.158134i | ||||
\(403\) | −8.11351 | −0.404163 | ||||||||
\(404\) | −7.56641 | + | 17.2037i | −0.376443 | + | 0.855919i | ||||
\(405\) | −14.1084 | + | 17.1729i | −0.701054 | + | 0.853326i | ||||
\(406\) | −10.1756 | − | 2.13881i | −0.505007 | − | 0.106148i | ||||
\(407\) | 3.18603i | 0.157925i | ||||||||
\(408\) | 12.9006 | − | 18.0123i | 0.638675 | − | 0.891741i | ||||
\(409\) | −4.88808 | −0.241700 | −0.120850 | − | 0.992671i | \(-0.538562\pi\) | ||||
−0.120850 | + | 0.992671i | \(0.538562\pi\) | |||||||
\(410\) | −25.0329 | + | 20.0730i | −1.23629 | + | 0.991333i | ||||
\(411\) | 18.2939i | 0.902373i | ||||||||
\(412\) | 5.99756 | − | 13.6366i | 0.295478 | − | 0.671829i | ||||
\(413\) | 13.1591 | 0.647519 | ||||||||
\(414\) | −0.612004 | + | 2.91166i | −0.0300783 | + | 0.143100i | ||||
\(415\) | 9.79720 | − | 11.9252i | 0.480926 | − | 0.585385i | ||||
\(416\) | −11.0738 | − | 18.6883i | −0.542936 | − | 0.916271i | ||||
\(417\) | 9.59723i | 0.469979i | ||||||||
\(418\) | −7.03628 | − | 1.47896i | −0.344156 | − | 0.0723382i | ||||
\(419\) | 15.6141i | 0.762799i | 0.924410 | + | 0.381400i | \(0.124558\pi\) | ||||
−0.924410 | + | 0.381400i | \(0.875442\pi\) | |||||||
\(420\) | −3.70040 | − | 7.30824i | −0.180561 | − | 0.356606i | ||||
\(421\) | 10.6841i | 0.520709i | 0.965513 | + | 0.260355i | \(0.0838394\pi\) | ||||
−0.965513 | + | 0.260355i | \(0.916161\pi\) | |||||||
\(422\) | −5.59159 | + | 26.6025i | −0.272194 | + | 1.29499i | ||||
\(423\) | 3.45627i | 0.168050i | ||||||||
\(424\) | 26.2019 | + | 18.7661i | 1.27247 | + | 0.911361i | ||||
\(425\) | −20.9756 | + | 4.14951i | −1.01747 | + | 0.201281i | ||||
\(426\) | 8.85707 | + | 1.86167i | 0.429126 | + | 0.0901983i | ||||
\(427\) | −6.91090 | −0.334442 | ||||||||
\(428\) | −13.5940 | − | 5.97880i | −0.657091 | − | 0.288996i | ||||
\(429\) | − | 9.59985i | − | 0.463485i | ||||||
\(430\) | −0.578825 | + | 0.464138i | −0.0279134 | + | 0.0223827i | ||||
\(431\) | 5.98746 | 0.288406 | 0.144203 | − | 0.989548i | \(-0.453938\pi\) | ||||
0.144203 | + | 0.989548i | \(0.453938\pi\) | |||||||
\(432\) | 13.0965 | + | 14.2828i | 0.630107 | + | 0.687181i | ||||
\(433\) | 7.68624i | 0.369377i | 0.982797 | + | 0.184688i | \(0.0591276\pi\) | ||||
−0.982797 | + | 0.184688i | \(0.940872\pi\) | |||||||
\(434\) | −0.614621 | + | 2.92411i | −0.0295027 | + | 0.140362i | ||||
\(435\) | 23.2688 | + | 19.1166i | 1.11565 | + | 0.916570i | ||||
\(436\) | −4.07929 | + | 9.27507i | −0.195362 | + | 0.444195i | ||||
\(437\) | −22.0661 | −1.05557 | ||||||||
\(438\) | −1.17449 | + | 5.58774i | −0.0561193 | + | 0.266992i | ||||
\(439\) | 34.5363 | 1.64833 | 0.824165 | − | 0.566350i | \(-0.191645\pi\) | ||||
0.824165 | + | 0.566350i | \(0.191645\pi\) | |||||||
\(440\) | −2.23177 | − | 8.33817i | −0.106395 | − | 0.397507i | ||||
\(441\) | −0.355171 | −0.0169129 | ||||||||
\(442\) | −4.77708 | + | 22.7274i | −0.227222 | + | 1.08103i | ||||
\(443\) | 10.3440 | 0.491458 | 0.245729 | − | 0.969339i | \(-0.420973\pi\) | ||||
0.245729 | + | 0.969339i | \(0.420973\pi\) | |||||||
\(444\) | −7.82838 | − | 3.44302i | −0.371519 | − | 0.163398i | ||||
\(445\) | 12.2065 | − | 14.8578i | 0.578644 | − | 0.704328i | ||||
\(446\) | −4.20655 | + | 20.0131i | −0.199186 | + | 0.947646i | ||||
\(447\) | − | 38.7996i | − | 1.83516i | ||||||
\(448\) | −7.57416 | + | 2.57530i | −0.357845 | + | 0.121671i | ||||
\(449\) | 41.6726 | 1.96665 | 0.983326 | − | 0.181853i | \(-0.0582096\pi\) | ||||
0.983326 | + | 0.181853i | \(0.0582096\pi\) | |||||||
\(450\) | −0.0298112 | + | 2.51126i | −0.00140531 | + | 0.118382i | ||||
\(451\) | 13.8482i | 0.652086i | ||||||||
\(452\) | −3.70592 | + | 8.42615i | −0.174312 | + | 0.396333i | ||||
\(453\) | −36.9990 | −1.73837 | ||||||||
\(454\) | 14.3930 | + | 3.02526i | 0.675495 | + | 0.141983i | ||||
\(455\) | 6.63477 | + | 5.45082i | 0.311043 | + | 0.255538i | ||||
\(456\) | 11.2378 | − | 15.6906i | 0.526257 | − | 0.734779i | ||||
\(457\) | − | 1.30299i | − | 0.0609513i | −0.999536 | − | 0.0304757i | \(-0.990298\pi\) | ||
0.999536 | − | 0.0304757i | \(-0.00970220\pi\) | |||||||
\(458\) | 5.62857 | − | 26.7784i | 0.263006 | − | 1.25127i | ||||
\(459\) | − | 20.7174i | − | 0.967005i | ||||||
\(460\) | −11.9665 | − | 23.6337i | −0.557942 | − | 1.10193i | ||||
\(461\) | − | 6.67282i | − | 0.310784i | −0.987853 | − | 0.155392i | \(-0.950336\pi\) | ||
0.987853 | − | 0.155392i | \(-0.0496641\pi\) | |||||||
\(462\) | −3.45979 | − | 0.727215i | −0.160964 | − | 0.0338331i | ||||
\(463\) | 15.6427i | 0.726977i | 0.931599 | + | 0.363488i | \(0.118414\pi\) | ||||
−0.931599 | + | 0.363488i | \(0.881586\pi\) | |||||||
\(464\) | 21.6766 | − | 19.8762i | 1.00631 | − | 0.922730i | ||||
\(465\) | 5.49344 | − | 6.68664i | 0.254752 | − | 0.310086i | ||||
\(466\) | 8.10018 | − | 38.5373i | 0.375234 | − | 1.78521i | ||||
\(467\) | −12.4919 | −0.578058 | −0.289029 | − | 0.957320i | \(-0.593332\pi\) | ||||
−0.289029 | + | 0.957320i | \(0.593332\pi\) | |||||||
\(468\) | 2.49695 | + | 1.09819i | 0.115422 | + | 0.0507638i | ||||
\(469\) | 5.95033i | 0.274761i | ||||||||
\(470\) | −19.2510 | − | 24.0079i | −0.887984 | − | 1.10740i | ||||
\(471\) | −19.5946 | −0.902872 | ||||||||
\(472\) | −21.6721 | + | 30.2593i | −0.997538 | + | 1.39280i | ||||
\(473\) | 0.320206i | 0.0147231i | ||||||||
\(474\) | −33.3842 | − | 7.01703i | −1.53339 | − | 0.322303i | ||||
\(475\) | −18.2719 | + | 3.61466i | −0.838374 | + | 0.165852i | ||||
\(476\) | 7.82908 | + | 3.44332i | 0.358845 | + | 0.157824i | ||||
\(477\) | −4.04705 | −0.185302 | ||||||||
\(478\) | 19.0863 | + | 4.01177i | 0.872989 | + | 0.183494i | ||||
\(479\) | −29.8270 | −1.36283 | −0.681415 | − | 0.731897i | \(-0.738635\pi\) | ||||
−0.681415 | + | 0.731897i | \(0.738635\pi\) | |||||||
\(480\) | 22.8995 | + | 3.52707i | 1.04521 | + | 0.160988i | ||||
\(481\) | 8.96450 | 0.408746 | ||||||||
\(482\) | 42.6499 | + | 8.96461i | 1.94265 | + | 0.408327i | ||||
\(483\) | −10.8501 | −0.493696 | ||||||||
\(484\) | 16.7283 | + | 7.35729i | 0.760376 | + | 0.334422i | ||||
\(485\) | 15.5702 | + | 12.7917i | 0.707005 | + | 0.580843i | ||||
\(486\) | −5.08245 | − | 1.06828i | −0.230545 | − | 0.0484583i | ||||
\(487\) | 14.7112i | 0.666628i | 0.942816 | + | 0.333314i | \(0.108167\pi\) | ||||
−0.942816 | + | 0.333314i | \(0.891833\pi\) | |||||||
\(488\) | 11.3817 | − | 15.8915i | 0.515226 | − | 0.719376i | ||||
\(489\) | 3.27804 | 0.148238 | ||||||||
\(490\) | 2.46708 | − | 1.97826i | 0.111451 | − | 0.0893687i | ||||
\(491\) | 19.8675i | 0.896606i | 0.893882 | + | 0.448303i | \(0.147971\pi\) | ||||
−0.893882 | + | 0.448303i | \(0.852029\pi\) | |||||||
\(492\) | −34.0264 | − | 14.9652i | −1.53403 | − | 0.674684i | ||||
\(493\) | −31.4422 | −1.41609 | ||||||||
\(494\) | −4.16134 | + | 19.7979i | −0.187227 | + | 0.890751i | ||||
\(495\) | 0.837504 | + | 0.688055i | 0.0376430 | + | 0.0309258i | ||||
\(496\) | −5.71173 | − | 6.22910i | −0.256464 | − | 0.279695i | ||||
\(497\) | 3.49386i | 0.156721i | ||||||||
\(498\) | 17.4971 | + | 3.67773i | 0.784065 | + | 0.164803i | ||||
\(499\) | 22.5504i | 1.00949i | 0.863268 | + | 0.504747i | \(0.168414\pi\) | ||||
−0.863268 | + | 0.504747i | \(0.831586\pi\) | |||||||
\(500\) | −13.7804 | − | 17.6097i | −0.616276 | − | 0.787530i | ||||
\(501\) | 14.8779i | 0.664697i | ||||||||
\(502\) | 4.94297 | − | 23.5166i | 0.220616 | − | 1.04960i | ||||
\(503\) | 31.9427i | 1.42425i | 0.702050 | + | 0.712127i | \(0.252268\pi\) | ||||
−0.702050 | + | 0.712127i | \(0.747732\pi\) | |||||||
\(504\) | 0.584939 | − | 0.816712i | 0.0260552 | − | 0.0363792i | ||||
\(505\) | 16.2359 | + | 13.3387i | 0.722488 | + | 0.593563i | ||||
\(506\) | −11.1884 | − | 2.35170i | −0.497386 | − | 0.104546i | ||||
\(507\) | −3.19877 | −0.142062 | ||||||||
\(508\) | −6.18981 | + | 14.0738i | −0.274629 | + | 0.624423i | ||||
\(509\) | − | 29.9980i | − | 1.32964i | −0.747004 | − | 0.664820i | \(-0.768508\pi\) | ||
0.747004 | − | 0.664820i | \(-0.231492\pi\) | |||||||
\(510\) | −15.4960 | − | 19.3251i | −0.686176 | − | 0.855728i | ||||
\(511\) | −2.20420 | −0.0975082 | ||||||||
\(512\) | 6.55217 | − | 21.6580i | 0.289568 | − | 0.957157i | ||||
\(513\) | − | 18.0470i | − | 0.796795i | ||||||
\(514\) | −2.59247 | + | 12.3339i | −0.114349 | + | 0.544025i | ||||
\(515\) | −12.8695 | − | 10.5730i | −0.567097 | − | 0.465901i | ||||
\(516\) | −0.786778 | − | 0.346034i | −0.0346360 | − | 0.0152333i | ||||
\(517\) | −13.2812 | −0.584105 | ||||||||
\(518\) | 0.679085 | − | 3.23081i | 0.0298373 | − | 0.141954i | ||||
\(519\) | −7.33565 | −0.321999 | ||||||||
\(520\) | −23.4611 | + | 6.27951i | −1.02884 | + | 0.275375i | ||||
\(521\) | −9.14935 | −0.400840 | −0.200420 | − | 0.979710i | \(-0.564231\pi\) | ||||
−0.200420 | + | 0.979710i | \(0.564231\pi\) | |||||||
\(522\) | −0.759645 | + | 3.61408i | −0.0332488 | + | 0.158184i | ||||
\(523\) | 9.24800 | 0.404387 | 0.202193 | − | 0.979346i | \(-0.435193\pi\) | ||||
0.202193 | + | 0.979346i | \(0.435193\pi\) | |||||||
\(524\) | −7.38936 | + | 16.8012i | −0.322806 | + | 0.733963i | ||||
\(525\) | −8.98445 | + | 1.77736i | −0.392113 | + | 0.0775702i | ||||
\(526\) | 7.13464 | − | 33.9437i | 0.311085 | − | 1.48001i | ||||
\(527\) | 9.03539i | 0.393588i | ||||||||
\(528\) | 7.37023 | − | 6.75809i | 0.320748 | − | 0.294108i | ||||
\(529\) | −12.0875 | −0.525543 | ||||||||
\(530\) | 28.1115 | − | 22.5416i | 1.22109 | − | 0.979143i | ||||
\(531\) | − | 4.67374i | − | 0.202823i | ||||||
\(532\) | 6.81995 | + | 2.99949i | 0.295682 | + | 0.130045i | ||||
\(533\) | 38.9646 | 1.68774 | ||||||||
\(534\) | 21.8000 | + | 4.58215i | 0.943377 | + | 0.198289i | ||||
\(535\) | −10.5399 | + | 12.8292i | −0.455680 | + | 0.554656i | ||||
\(536\) | −13.6827 | − | 9.79973i | −0.591004 | − | 0.423284i | ||||
\(537\) | 0.960131i | 0.0414327i | ||||||||
\(538\) | 2.59050 | − | 12.3245i | 0.111684 | − | 0.531349i | ||||
\(539\) | − | 1.36479i | − | 0.0587856i | ||||||
\(540\) | 19.3291 | − | 9.78694i | 0.831790 | − | 0.421163i | ||||
\(541\) | 1.52266i | 0.0654642i | 0.999464 | + | 0.0327321i | \(0.0104208\pi\) | ||||
−0.999464 | + | 0.0327321i | \(0.989579\pi\) | |||||||
\(542\) | 13.8823 | + | 2.91792i | 0.596295 | + | 0.125336i | ||||
\(543\) | 16.2868i | 0.698933i | ||||||||
\(544\) | −20.8118 | + | 12.3320i | −0.892297 | + | 0.528730i | ||||
\(545\) | 8.75327 | + | 7.19129i | 0.374949 | + | 0.308041i | ||||
\(546\) | −2.04616 | + | 9.73479i | −0.0875676 | + | 0.416611i | ||||
\(547\) | −8.09720 | −0.346211 | −0.173106 | − | 0.984903i | \(-0.555380\pi\) | ||||
−0.173106 | + | 0.984903i | \(0.555380\pi\) | |||||||
\(548\) | 8.04169 | − | 18.2844i | 0.343524 | − | 0.781070i | ||||
\(549\) | 2.45455i | 0.104758i | ||||||||
\(550\) | −9.64983 | − | 0.114553i | −0.411470 | − | 0.00488456i | ||||
\(551\) | −27.3894 | −1.16683 | ||||||||
\(552\) | 17.8693 | − | 24.9497i | 0.760566 | − | 1.06193i | ||||
\(553\) | − | 13.1691i | − | 0.560007i | ||||||
\(554\) | −14.5446 | − | 3.05713i | −0.617940 | − | 0.129885i | ||||
\(555\) | −6.06962 | + | 7.38797i | −0.257641 | + | 0.313602i | ||||
\(556\) | 4.21878 | − | 9.59223i | 0.178916 | − | 0.406801i | ||||
\(557\) | 8.56805 | 0.363040 | 0.181520 | − | 0.983387i | \(-0.441898\pi\) | ||||
0.181520 | + | 0.983387i | \(0.441898\pi\) | |||||||
\(558\) | 1.03856 | + | 0.218295i | 0.0439658 | + | 0.00924119i | ||||
\(559\) | 0.900961 | 0.0381066 | ||||||||
\(560\) | 0.485898 | + | 8.93106i | 0.0205329 | + | 0.377406i | ||||
\(561\) | −10.6906 | −0.451358 | ||||||||
\(562\) | 41.4261 | + | 8.70736i | 1.74745 | + | 0.367298i | ||||
\(563\) | 34.2736 | 1.44446 | 0.722229 | − | 0.691654i | \(-0.243118\pi\) | ||||
0.722229 | + | 0.691654i | \(0.243118\pi\) | |||||||
\(564\) | 14.3524 | − | 32.6331i | 0.604347 | − | 1.37410i | ||||
\(565\) | 7.95211 | + | 6.53308i | 0.334548 | + | 0.274849i | ||||
\(566\) | −40.1228 | − | 8.43343i | −1.68649 | − | 0.354484i | ||||
\(567\) | − | 9.93937i | − | 0.417414i | ||||||
\(568\) | −8.03409 | − | 5.75411i | −0.337103 | − | 0.241437i | ||||
\(569\) | 19.5357 | 0.818979 | 0.409490 | − | 0.912315i | \(-0.365707\pi\) | ||||
0.409490 | + | 0.912315i | \(0.365707\pi\) | |||||||
\(570\) | −13.4987 | − | 16.8341i | −0.565397 | − | 0.705105i | ||||
\(571\) | 9.14907i | 0.382877i | 0.981505 | + | 0.191438i | \(0.0613152\pi\) | ||||
−0.981505 | + | 0.191438i | \(0.938685\pi\) | |||||||
\(572\) | −4.21993 | + | 9.59485i | −0.176444 | + | 0.401181i | ||||
\(573\) | 23.4769 | 0.980762 | ||||||||
\(574\) | 2.95167 | − | 14.0429i | 0.123201 | − | 0.586137i | ||||
\(575\) | −29.0543 | + | 5.74769i | −1.21165 | + | 0.239695i | ||||
\(576\) | 0.914671 | + | 2.69012i | 0.0381113 | + | 0.112088i | ||||
\(577\) | − | 38.9999i | − | 1.62359i | −0.583946 | − | 0.811793i | \(-0.698492\pi\) | ||
0.583946 | − | 0.811793i | \(-0.301508\pi\) | |||||||
\(578\) | 1.78220 | + | 0.374602i | 0.0741298 | + | 0.0155814i | ||||
\(579\) | − | 4.63350i | − | 0.192562i | ||||||
\(580\) | −14.8534 | − | 29.3352i | −0.616752 | − | 1.21808i | ||||
\(581\) | 6.90211i | 0.286348i | ||||||||
\(582\) | −4.80183 | + | 22.8452i | −0.199042 | + | 0.946962i | ||||
\(583\) | − | 15.5513i | − | 0.644068i | ||||||
\(584\) | 3.63015 | − | 5.06854i | 0.150217 | − | 0.209738i | ||||
\(585\) | 1.93597 | − | 2.35648i | 0.0800427 | − | 0.0974284i | ||||
\(586\) | −7.45259 | − | 1.56646i | −0.307864 | − | 0.0647100i | ||||
\(587\) | −1.63836 | −0.0676222 | −0.0338111 | − | 0.999428i | \(-0.510764\pi\) | ||||
−0.0338111 | + | 0.999428i | \(0.510764\pi\) | |||||||
\(588\) | 3.35342 | + | 1.47487i | 0.138293 | + | 0.0608228i | ||||
\(589\) | 7.87077i | 0.324310i | ||||||||
\(590\) | 26.0322 | + | 32.4647i | 1.07173 | + | 1.33655i | ||||
\(591\) | 43.2412 | 1.77870 | ||||||||
\(592\) | 6.31081 | + | 6.88244i | 0.259373 | + | 0.282867i | ||||
\(593\) | 34.5547i | 1.41899i | 0.704711 | + | 0.709495i | \(0.251077\pi\) | ||||
−0.704711 | + | 0.709495i | \(0.748923\pi\) | |||||||
\(594\) | 1.92336 | − | 9.15056i | 0.0789164 | − | 0.375452i | ||||
\(595\) | 6.07016 | − | 7.38863i | 0.248852 | − | 0.302904i | ||||
\(596\) | −17.0556 | + | 38.7794i | −0.698625 | + | 1.58846i | ||||
\(597\) | −18.7305 | −0.766587 | ||||||||
\(598\) | −6.61696 | + | 31.4808i | −0.270588 | + | 1.28734i | ||||
\(599\) | −47.9265 | −1.95823 | −0.979113 | − | 0.203318i | \(-0.934828\pi\) | ||||
−0.979113 | + | 0.203318i | \(0.934828\pi\) | |||||||
\(600\) | 10.7097 | − | 23.5868i | 0.437220 | − | 0.962927i | ||||
\(601\) | −0.470617 | −0.0191969 | −0.00959843 | − | 0.999954i | \(-0.503055\pi\) | ||||
−0.00959843 | + | 0.999954i | \(0.503055\pi\) | |||||||
\(602\) | 0.0682503 | − | 0.324707i | 0.00278167 | − | 0.0132341i | ||||
\(603\) | 2.11339 | 0.0860637 | ||||||||
\(604\) | 36.9797 | + | 16.2641i | 1.50468 | + | 0.661778i | ||||
\(605\) | 12.9700 | − | 15.7872i | 0.527306 | − | 0.641840i | ||||
\(606\) | −5.00714 | + | 23.8219i | −0.203401 | + | 0.967700i | ||||
\(607\) | 23.0958i | 0.937430i | 0.883349 | + | 0.468715i | \(0.155283\pi\) | ||||
−0.883349 | + | 0.468715i | \(0.844717\pi\) | |||||||
\(608\) | −18.1292 | + | 10.7425i | −0.735237 | + | 0.435664i | ||||
\(609\) | −13.4676 | −0.545735 | ||||||||
\(610\) | −13.6716 | − | 17.0497i | −0.553545 | − | 0.690324i | ||||
\(611\) | 37.3691i | 1.51179i | ||||||||
\(612\) | 1.22297 | − | 2.78066i | 0.0494356 | − | 0.112402i | ||||
\(613\) | 14.7889 | 0.597320 | 0.298660 | − | 0.954360i | \(-0.403460\pi\) | ||||
0.298660 | + | 0.954360i | \(0.403460\pi\) | |||||||
\(614\) | −26.1303 | − | 5.49235i | −1.05453 | − | 0.221653i | ||||
\(615\) | −26.3819 | + | 32.1122i | −1.06382 | + | 1.29489i | ||||
\(616\) | 3.13832 | + | 2.24770i | 0.126446 | + | 0.0905624i | ||||
\(617\) | − | 45.0729i | − | 1.81456i | −0.420522 | − | 0.907282i | \(-0.638153\pi\) | ||
0.420522 | − | 0.907282i | \(-0.361847\pi\) | |||||||
\(618\) | 3.96894 | − | 18.8826i | 0.159654 | − | 0.759569i | ||||
\(619\) | 46.1211i | 1.85377i | 0.375351 | + | 0.926883i | \(0.377522\pi\) | ||||
−0.375351 | + | 0.926883i | \(0.622478\pi\) | |||||||
\(620\) | −8.42990 | + | 4.26834i | −0.338553 | + | 0.171421i | ||||
\(621\) | − | 28.6966i | − | 1.15156i | ||||||
\(622\) | −13.5162 | − | 2.84097i | −0.541949 | − | 0.113913i | ||||
\(623\) | 8.59946i | 0.344530i | ||||||||
\(624\) | −19.0152 | − | 20.7376i | −0.761216 | − | 0.830167i | ||||
\(625\) | −23.1169 | + | 9.51878i | −0.924678 | + | 0.380751i | ||||
\(626\) | −5.60101 | + | 26.6473i | −0.223862 | + | 1.06504i | ||||
\(627\) | −9.31265 | −0.371911 | ||||||||
\(628\) | 19.5844 | + | 8.61345i | 0.781502 | + | 0.343714i | ||||
\(629\) | − | 9.98307i | − | 0.398051i | ||||||
\(630\) | −0.702621 | − | 0.876236i | −0.0279931 | − | 0.0349101i | ||||
\(631\) | 26.8644 | 1.06946 | 0.534728 | − | 0.845024i | \(-0.320414\pi\) | ||||
0.534728 | + | 0.845024i | \(0.320414\pi\) | |||||||
\(632\) | 30.2822 | + | 21.6885i | 1.20456 | + | 0.862721i | ||||
\(633\) | 35.2089i | 1.39943i | ||||||||
\(634\) | −6.52359 | − | 1.37120i | −0.259085 | − | 0.0544571i | ||||
\(635\) | 13.2820 | + | 10.9119i | 0.527081 | + | 0.433025i | ||||
\(636\) | 38.2110 | + | 16.8057i | 1.51517 | + | 0.666388i | ||||
\(637\) | −3.84009 | −0.152150 | ||||||||
\(638\) | −13.8875 | − | 2.91903i | −0.549813 | − | 0.115565i | ||||
\(639\) | 1.24092 | 0.0490899 | ||||||||
\(640\) | −21.3371 | − | 13.5914i | −0.843424 | − | 0.537249i | ||||
\(641\) | 30.3005 | 1.19680 | 0.598398 | − | 0.801199i | \(-0.295804\pi\) | ||||
0.598398 | + | 0.801199i | \(0.295804\pi\) | |||||||
\(642\) | −18.8235 | − | 3.95653i | −0.742905 | − | 0.156152i | ||||
\(643\) | −29.5531 | −1.16546 | −0.582730 | − | 0.812665i | \(-0.698016\pi\) | ||||
−0.582730 | + | 0.812665i | \(0.698016\pi\) | |||||||
\(644\) | 10.8444 | + | 4.76951i | 0.427331 | + | 0.187945i | ||||
\(645\) | −0.610016 | + | 0.742515i | −0.0240194 | + | 0.0292365i | ||||
\(646\) | 22.0474 | + | 4.63416i | 0.867444 | + | 0.182328i | ||||
\(647\) | 12.6646i | 0.497896i | 0.968517 | + | 0.248948i | \(0.0800848\pi\) | ||||
−0.968517 | + | 0.248948i | \(0.919915\pi\) | |||||||
\(648\) | 22.8555 | + | 16.3694i | 0.897847 | + | 0.643049i | ||||
\(649\) | 17.9594 | 0.704970 | ||||||||
\(650\) | −0.322317 | + | 27.1517i | −0.0126423 | + | 1.06498i | ||||
\(651\) | 3.87012i | 0.151682i | ||||||||
\(652\) | −3.27633 | − | 1.44097i | −0.128311 | − | 0.0564327i | ||||
\(653\) | 11.7561 | 0.460050 | 0.230025 | − | 0.973185i | \(-0.426119\pi\) | ||||
0.230025 | + | 0.973185i | \(0.426119\pi\) | |||||||
\(654\) | −2.69951 | + | 12.8431i | −0.105559 | + | 0.502206i | ||||
\(655\) | 15.8560 | + | 13.0265i | 0.619544 | + | 0.508989i | ||||
\(656\) | 27.4302 | + | 29.9148i | 1.07097 | + | 1.16798i | ||||
\(657\) | 0.782869i | 0.0305426i | ||||||||
\(658\) | 13.4678 | + | 2.83081i | 0.525031 | + | 0.110357i | ||||
\(659\) | 12.1150i | 0.471933i | 0.971761 | + | 0.235967i | \(0.0758256\pi\) | ||||
−0.971761 | + | 0.235967i | \(0.924174\pi\) | |||||||
\(660\) | −5.05027 | − | 9.97421i | −0.196581 | − | 0.388246i | ||||
\(661\) | 14.7784i | 0.574812i | 0.957809 | + | 0.287406i | \(0.0927929\pi\) | ||||
−0.957809 | + | 0.287406i | \(0.907207\pi\) | |||||||
\(662\) | −3.60014 | + | 17.1280i | −0.139923 | + | 0.665698i | ||||
\(663\) | 30.0801i | 1.16821i | ||||||||
\(664\) | −15.8713 | − | 11.3672i | −0.615927 | − | 0.441134i | ||||
\(665\) | 5.28774 | − | 6.43627i | 0.205050 | − | 0.249588i | ||||
\(666\) | −1.14749 | − | 0.241191i | −0.0444643 | − | 0.00934598i | ||||
\(667\) | −43.5521 | −1.68634 | ||||||||
\(668\) | 6.54008 | − | 14.8702i | 0.253043 | − | 0.575344i | ||||
\(669\) | 26.4877i | 1.02407i | ||||||||
\(670\) | −14.6799 | + | 11.7713i | −0.567136 | + | 0.454765i | ||||
\(671\) | −9.43192 | −0.364115 | ||||||||
\(672\) | −8.91428 | + | 5.28215i | −0.343876 | + | 0.203763i | ||||
\(673\) | 9.85860i | 0.380021i | 0.981782 | + | 0.190011i | \(0.0608522\pi\) | ||||
−0.981782 | + | 0.190011i | \(0.939148\pi\) | |||||||
\(674\) | 6.82744 | − | 32.4821i | 0.262983 | − | 1.25117i | ||||
\(675\) | −4.70080 | − | 23.7623i | −0.180934 | − | 0.914612i | ||||
\(676\) | 3.19710 | + | 1.40612i | 0.122965 | + | 0.0540817i | ||||
\(677\) | −5.15066 | −0.197956 | −0.0989779 | − | 0.995090i | \(-0.531557\pi\) | ||||
−0.0989779 | + | 0.995090i | \(0.531557\pi\) | |||||||
\(678\) | −2.45243 | + | 11.6676i | −0.0941849 | + | 0.448093i | ||||
\(679\) | −9.01176 | −0.345840 | ||||||||
\(680\) | 6.99300 | + | 26.1268i | 0.268169 | + | 1.00192i | ||||
\(681\) | 19.0493 | 0.729972 | ||||||||
\(682\) | −0.838827 | + | 3.99080i | −0.0321204 | + | 0.152815i | ||||
\(683\) | −31.3990 | −1.20145 | −0.600725 | − | 0.799455i | \(-0.705122\pi\) | ||||
−0.600725 | + | 0.799455i | \(0.705122\pi\) | |||||||
\(684\) | 1.06533 | − | 2.42225i | 0.0407340 | − | 0.0926170i | ||||
\(685\) | −17.2557 | − | 14.1765i | −0.659308 | − | 0.541657i | ||||
\(686\) | −0.290898 | + | 1.38397i | −0.0111065 | + | 0.0528403i | ||||
\(687\) | − | 35.4418i | − | 1.35219i | ||||||
\(688\) | 0.634257 | + | 0.691708i | 0.0241808 | + | 0.0263711i | ||||
\(689\) | −43.7565 | −1.66699 | ||||||||
\(690\) | −21.4643 | − | 26.7681i | −0.817132 | − | 1.01904i | ||||
\(691\) | − | 29.1794i | − | 1.11004i | −0.831838 | − | 0.555018i | \(-0.812711\pi\) | ||
0.831838 | − | 0.555018i | \(-0.187289\pi\) | |||||||
\(692\) | 7.33182 | + | 3.22462i | 0.278714 | + | 0.122582i | ||||
\(693\) | −0.484733 | −0.0184135 | ||||||||
\(694\) | −29.5373 | − | 6.20846i | −1.12122 | − | 0.235670i | ||||
\(695\) | −9.05259 | − | 7.43719i | −0.343384 | − | 0.282109i | ||||
\(696\) | 22.1801 | − | 30.9686i | 0.840734 | − | 1.17386i | ||||
\(697\) | − | 43.3918i | − | 1.64358i | ||||||
\(698\) | −1.02052 | + | 4.85522i | −0.0386273 | + | 0.183773i | ||||
\(699\) | − | 51.0049i | − | 1.92918i | ||||||
\(700\) | 9.76105 | + | 2.17298i | 0.368933 | + | 0.0821308i | ||||
\(701\) | 49.3433i | 1.86367i | 0.362883 | + | 0.931835i | \(0.381793\pi\) | ||||
−0.362883 | + | 0.931835i | \(0.618207\pi\) | |||||||
\(702\) | −25.7469 | − | 5.41174i | −0.971752 | − | 0.204253i | ||||
\(703\) | − | 8.69630i | − | 0.327987i | ||||||
\(704\) | −10.3371 | + | 3.51474i | −0.389595 | + | 0.132467i | ||||
\(705\) | −30.7972 | − | 25.3016i | −1.15989 | − | 0.952913i | ||||
\(706\) | −10.3118 | + | 49.0594i | −0.388090 | + | 1.84637i | ||||
\(707\) | −9.39707 | −0.353413 | ||||||||
\(708\) | −19.4081 | + | 44.1281i | −0.729400 | + | 1.65844i | ||||
\(709\) | − | 27.4478i | − | 1.03082i | −0.856943 | − | 0.515411i | \(-0.827639\pi\) | ||
0.856943 | − | 0.515411i | \(-0.172361\pi\) | |||||||
\(710\) | −8.61963 | + | 6.91176i | −0.323489 | + | 0.259394i | ||||
\(711\) | −4.67728 | −0.175412 | ||||||||
\(712\) | −19.7744 | − | 14.1626i | −0.741076 | − | 0.530767i | ||||
\(713\) | 12.5154i | 0.468704i | ||||||||
\(714\) | 10.8409 | + | 2.27865i | 0.405710 | + | 0.0852764i | ||||
\(715\) | 9.05506 | + | 7.43922i | 0.338640 | + | 0.278211i | ||||
\(716\) | 0.422057 | − | 0.959630i | 0.0157730 | − | 0.0358630i | ||||
\(717\) | 25.2611 | 0.943394 | ||||||||
\(718\) | 23.6602 | + | 4.97315i | 0.882991 | + | 0.185596i | ||||
\(719\) | 27.7325 | 1.03425 | 0.517125 | − | 0.855910i | \(-0.327002\pi\) | ||||
0.517125 | + | 0.855910i | \(0.327002\pi\) | |||||||
\(720\) | 3.17205 | − | 0.172577i | 0.118216 | − | 0.00643156i | ||||
\(721\) | 7.44864 | 0.277402 | ||||||||
\(722\) | −7.08986 | − | 1.49022i | −0.263857 | − | 0.0554603i | ||||
\(723\) | 56.4480 | 2.09932 | ||||||||
\(724\) | 7.15939 | − | 16.2783i | 0.266077 | − | 0.604978i | ||||
\(725\) | −36.0634 | + | 7.13428i | −1.33936 | + | 0.264960i | ||||
\(726\) | 23.1635 | + | 4.86876i | 0.859680 | + | 0.180697i | ||||
\(727\) | 2.97264i | 0.110249i | 0.998479 | + | 0.0551246i | \(0.0175556\pi\) | ||||
−0.998479 | + | 0.0551246i | \(0.982444\pi\) | |||||||
\(728\) | 6.32434 | − | 8.83026i | 0.234395 | − | 0.327271i | ||||
\(729\) | 23.0914 | 0.855237 | ||||||||
\(730\) | −4.36048 | − | 5.43794i | −0.161389 | − | 0.201267i | ||||
\(731\) | − | 1.00333i | − | 0.0371095i | ||||||
\(732\) | 10.1927 | − | 23.1752i | 0.376733 | − | 0.856578i | ||||
\(733\) | 12.7789 | 0.472000 | 0.236000 | − | 0.971753i | \(-0.424164\pi\) | ||||
0.236000 | + | 0.971753i | \(0.424164\pi\) | |||||||
\(734\) | −3.83546 | + | 18.2475i | −0.141569 | + | 0.673529i | ||||
\(735\) | 2.60002 | − | 3.16476i | 0.0959033 | − | 0.116734i | ||||
\(736\) | −28.8274 | + | 17.0816i | −1.06259 | + | 0.629638i | ||||
\(737\) | 8.12094i | 0.299139i | ||||||||
\(738\) | −4.98761 | − | 1.04835i | −0.183597 | − | 0.0385903i | ||||
\(739\) | 36.8126i | 1.35417i | 0.735903 | + | 0.677087i | \(0.236758\pi\) | ||||
−0.735903 | + | 0.677087i | \(0.763242\pi\) | |||||||
\(740\) | 9.31408 | − | 4.71602i | 0.342392 | − | 0.173364i | ||||
\(741\) | 26.2029i | 0.962588i | ||||||||
\(742\) | −3.31468 | + | 15.7699i | −0.121686 | + | 0.578930i | ||||
\(743\) | 1.08547i | 0.0398220i | 0.999802 | + | 0.0199110i | \(0.00633828\pi\) | ||||
−0.999802 | + | 0.0199110i | \(0.993662\pi\) | |||||||
\(744\) | −8.89929 | − | 6.37378i | −0.326264 | − | 0.233674i | ||||
\(745\) | 36.5977 | + | 30.0670i | 1.34084 | + | 1.10157i | ||||
\(746\) | 28.7659 | + | 6.04631i | 1.05319 | + | 0.221371i | ||||
\(747\) | 2.45143 | 0.0896931 | ||||||||
\(748\) | 10.6850 | + | 4.69941i | 0.390684 | + | 0.171827i | ||||
\(749\) | − | 7.42534i | − | 0.271316i | ||||||
\(750\) | −22.1585 | − | 18.6493i | −0.809112 | − | 0.680976i | ||||
\(751\) | −14.2742 | −0.520873 | −0.260436 | − | 0.965491i | \(-0.583866\pi\) | ||||
−0.260436 | + | 0.965491i | \(0.583866\pi\) | |||||||
\(752\) | −28.6899 | + | 26.3070i | −1.04621 | + | 0.959318i | ||||
\(753\) | − | 31.1247i | − | 1.13425i | ||||||
\(754\) | −8.21325 | + | 39.0753i | −0.299109 | + | 1.42304i | ||||
\(755\) | 28.6717 | − | 34.8993i | 1.04347 | − | 1.27012i | ||||
\(756\) | −3.90079 | + | 8.86922i | −0.141870 | + | 0.322571i | ||||
\(757\) | 9.95779 | 0.361922 | 0.180961 | − | 0.983490i | \(-0.442079\pi\) | ||||
0.180961 | + | 0.983490i | \(0.442079\pi\) | |||||||
\(758\) | −10.5952 | + | 50.4077i | −0.384836 | + | 1.83089i | ||||
\(759\) | −14.8081 | −0.537499 | ||||||||
\(760\) | 6.09164 | + | 22.7591i | 0.220967 | + | 0.825561i | ||||
\(761\) | 35.2392 | 1.27742 | 0.638710 | − | 0.769447i | \(-0.279468\pi\) | ||||
0.638710 | + | 0.769447i | \(0.279468\pi\) | |||||||
\(762\) | −4.09617 | + | 19.4879i | −0.148388 | + | 0.705971i | ||||
\(763\) | −5.06625 | −0.183411 | ||||||||
\(764\) | −23.4647 | − | 10.3200i | −0.848921 | − | 0.373366i | ||||
\(765\) | −2.62423 | − | 2.15594i | −0.0948792 | − | 0.0779483i | ||||
\(766\) | 8.70053 | − | 41.3935i | 0.314363 | − | 1.49561i | ||||
\(767\) | − | 50.5323i | − | 1.82462i | ||||||
\(768\) | 2.53487 | − | 29.1976i | 0.0914692 | − | 1.05358i | ||||
\(769\) | 27.1046 | 0.977415 | 0.488708 | − | 0.872448i | \(-0.337468\pi\) | ||||
0.488708 | + | 0.872448i | \(0.337468\pi\) | |||||||
\(770\) | 3.36704 | − | 2.69991i | 0.121340 | − | 0.0972979i | ||||
\(771\) | 16.3241i | 0.587899i | ||||||||
\(772\) | −2.03681 | + | 4.63109i | −0.0733063 | + | 0.166676i | ||||
\(773\) | −38.6612 | −1.39055 | −0.695273 | − | 0.718746i | \(-0.744717\pi\) | ||||
−0.695273 | + | 0.718746i | \(0.744717\pi\) | |||||||
\(774\) | −0.115326 | − | 0.0242405i | −0.00414532 | − | 0.000871308i | ||||
\(775\) | 2.05014 | + | 10.3634i | 0.0736433 | + | 0.372263i | ||||
\(776\) | 14.8417 | − | 20.7224i | 0.532785 | − | 0.743892i | ||||
\(777\) | − | 4.27604i | − | 0.153402i | ||||||
\(778\) | 2.24430 | − | 10.6774i | 0.0804619 | − | 0.382805i | ||||
\(779\) | − | 37.7988i | − | 1.35428i | ||||||
\(780\) | −28.0643 | + | 14.2099i | −1.00486 | + | 0.508796i | ||||
\(781\) | 4.76838i | 0.170626i | ||||||||
\(782\) | 35.0577 | + | 7.36880i | 1.25366 | + | 0.263508i | ||||
\(783\) | − | 35.6195i | − | 1.27294i | ||||||
\(784\) | −2.70334 | − | 2.94821i | −0.0965479 | − | 0.105293i | ||||
\(785\) | 15.1845 | − | 18.4826i | 0.541957 | − | 0.659673i | ||||
\(786\) | −4.88998 | + | 23.2645i | −0.174420 | + | 0.829817i | ||||
\(787\) | 21.0967 | 0.752015 | 0.376007 | − | 0.926617i | \(-0.377297\pi\) | ||||
0.376007 | + | 0.926617i | \(0.377297\pi\) | |||||||
\(788\) | −43.2186 | − | 19.0081i | −1.53960 | − | 0.677134i | ||||
\(789\) | − | 44.9251i | − | 1.59938i | ||||||
\(790\) | 32.4892 | − | 26.0519i | 1.15591 | − | 0.926885i | ||||
\(791\) | −4.60255 | −0.163648 | ||||||||
\(792\) | 0.798318 | − | 1.11464i | 0.0283670 | − | 0.0396070i | ||||
\(793\) | 26.5385i | 0.942410i | ||||||||
\(794\) | 4.09491 | + | 0.860710i | 0.145323 | + | 0.0305455i | ||||
\(795\) | 29.6263 | − | 36.0613i | 1.05074 | − | 1.27896i | ||||
\(796\) | 18.7207 | + | 8.23358i | 0.663537 | + | 0.291831i | ||||
\(797\) | −1.60768 | −0.0569471 | −0.0284736 | − | 0.999595i | \(-0.509065\pi\) | ||||
−0.0284736 | + | 0.999595i | \(0.509065\pi\) | |||||||
\(798\) | 9.44354 | + | 1.98494i | 0.334298 | + | 0.0702662i | ||||
\(799\) | 41.6151 | 1.47224 | ||||||||
\(800\) | −21.0724 | + | 18.8667i | −0.745023 | + | 0.667039i | ||||
\(801\) | 3.05428 | 0.107918 | ||||||||
\(802\) | −42.5035 | − | 8.93382i | −1.50085 | − | 0.315464i | ||||
\(803\) | −3.00827 | −0.106160 | ||||||||
\(804\) | −19.9540 | − | 8.77599i | −0.703722 | − | 0.309505i | ||||
\(805\) | 8.40807 | − | 10.2343i | 0.296345 | − | 0.360713i | ||||
\(806\) | 11.2289 | + | 2.36020i | 0.395520 | + | 0.0831346i | ||||
\(807\) | − | 16.3118i | − | 0.574201i | ||||||
\(808\) | 15.4762 | − | 21.6085i | 0.544452 | − | 0.760183i | ||||
\(809\) | −27.5712 | −0.969353 | −0.484676 | − | 0.874694i | \(-0.661063\pi\) | ||||
−0.484676 | + | 0.874694i | \(0.661063\pi\) | |||||||
\(810\) | 24.5212 | − | 19.6626i | 0.861588 | − | 0.690875i | ||||
\(811\) | − | 33.1906i | − | 1.16548i | −0.812659 | − | 0.582740i | \(-0.801981\pi\) | ||
0.812659 | − | 0.582740i | \(-0.198019\pi\) | |||||||
\(812\) | 13.4606 | + | 5.92012i | 0.472373 | + | 0.207755i | ||||
\(813\) | 18.3735 | 0.644385 | ||||||||
\(814\) | 0.926808 | − | 4.40937i | 0.0324846 | − | 0.154548i | ||||
\(815\) | −2.54025 | + | 3.09201i | −0.0889812 | + | 0.108308i | ||||
\(816\) | −23.0938 | + | 21.1757i | −0.808445 | + | 0.741299i | ||||
\(817\) | − | 0.874006i | − | 0.0305776i | ||||||
\(818\) | 6.76497 | + | 1.42193i | 0.236531 | + | 0.0497167i | ||||
\(819\) | 1.36389i | 0.0476582i | ||||||||
\(820\) | 40.4840 | − | 20.4984i | 1.41376 | − | 0.715835i | ||||
\(821\) | − | 50.2595i | − | 1.75407i | −0.480426 | − | 0.877035i | \(-0.659518\pi\) | ||
0.480426 | − | 0.877035i | \(-0.340482\pi\) | |||||||
\(822\) | 5.32166 | − | 25.3183i | 0.185614 | − | 0.883077i | ||||
\(823\) | − | 27.9633i | − | 0.974739i | −0.873196 | − | 0.487370i | \(-0.837956\pi\) | ||
0.873196 | − | 0.487370i | \(-0.162044\pi\) | |||||||
\(824\) | −12.2673 | + | 17.1281i | −0.427352 | + | 0.596684i | ||||
\(825\) | −12.2619 | + | 2.42572i | −0.426903 | + | 0.0844526i | ||||
\(826\) | −18.2119 | − | 3.82796i | −0.633672 | − | 0.133192i | ||||
\(827\) | 25.9992 | 0.904082 | 0.452041 | − | 0.891997i | \(-0.350696\pi\) | ||||
0.452041 | + | 0.891997i | \(0.350696\pi\) | |||||||
\(828\) | 1.69399 | − | 3.85163i | 0.0588703 | − | 0.133853i | ||||
\(829\) | 5.13607i | 0.178383i | 0.996014 | + | 0.0891915i | \(0.0284283\pi\) | ||||
−0.996014 | + | 0.0891915i | \(0.971572\pi\) | |||||||
\(830\) | −17.0281 | + | 13.6542i | −0.591053 | + | 0.473943i | ||||
\(831\) | −19.2500 | −0.667776 | ||||||||
\(832\) | 9.88939 | + | 29.0855i | 0.342853 | + | 1.00836i | ||||
\(833\) | 4.27642i | 0.148169i | ||||||||
\(834\) | 2.79181 | − | 13.2823i | 0.0966726 | − | 0.459929i | ||||
\(835\) | −14.0336 | − | 11.5294i | −0.485653 | − | 0.398990i | ||||
\(836\) | 9.30779 | + | 4.09368i | 0.321917 | + | 0.141583i | ||||
\(837\) | −10.2358 | −0.353801 | ||||||||
\(838\) | 4.54211 | − | 21.6095i | 0.156905 | − | 0.746488i | ||||
\(839\) | 23.2811 | 0.803752 | 0.401876 | − | 0.915694i | \(-0.368358\pi\) | ||||
0.401876 | + | 0.915694i | \(0.368358\pi\) | |||||||
\(840\) | 2.99530 | + | 11.1908i | 0.103348 | + | 0.386121i | ||||
\(841\) | −25.0587 | −0.864093 | ||||||||
\(842\) | 3.10797 | − | 14.7864i | 0.107108 | − | 0.509574i | ||||
\(843\) | 54.8282 | 1.88838 | ||||||||
\(844\) | 15.4772 | − | 35.1905i | 0.532747 | − | 1.21131i | ||||
\(845\) | 2.47882 | − | 3.01724i | 0.0852742 | − | 0.103796i | ||||
\(846\) | 1.00542 | − | 4.78339i | 0.0345671 | − | 0.164456i | ||||
\(847\) | 9.13735i | 0.313963i | ||||||||
\(848\) | −30.8036 | − | 33.5938i | −1.05780 | − | 1.15362i | ||||
\(849\) | −53.1033 | −1.82250 | ||||||||
\(850\) | 30.2367 | + | 0.358940i | 1.03711 | + | 0.0123115i | ||||
\(851\) | − | 13.8280i | − | 0.474019i | ||||||
\(852\) | −11.7164 | − | 5.15300i | −0.401397 | − | 0.176539i | ||||
\(853\) | −22.7793 | −0.779948 | −0.389974 | − | 0.920826i | \(-0.627516\pi\) | ||||
−0.389974 | + | 0.920826i | \(0.627516\pi\) | |||||||
\(854\) | 9.56449 | + | 2.01036i | 0.327290 | + | 0.0687933i | ||||
\(855\) | −2.28598 | − | 1.87805i | −0.0781788 | − | 0.0642281i | ||||
\(856\) | 17.0745 | + | 12.2290i | 0.583594 | + | 0.417977i | ||||
\(857\) | − | 29.7120i | − | 1.01494i | −0.861669 | − | 0.507471i | \(-0.830581\pi\) | ||
0.861669 | − | 0.507471i | \(-0.169419\pi\) | |||||||
\(858\) | −2.79258 | + | 13.2859i | −0.0953370 | + | 0.453574i | ||||
\(859\) | 15.1272i | 0.516133i | 0.966127 | + | 0.258067i | \(0.0830854\pi\) | ||||
−0.966127 | + | 0.258067i | \(0.916915\pi\) | |||||||
\(860\) | 0.936095 | − | 0.473976i | 0.0319206 | − | 0.0161624i | ||||
\(861\) | − | 18.5860i | − | 0.633408i | ||||||
\(862\) | −8.28648 | − | 1.74174i | −0.282239 | − | 0.0593239i | ||||
\(863\) | 7.86992i | 0.267895i | 0.990988 | + | 0.133948i | \(0.0427654\pi\) | ||||
−0.990988 | + | 0.133948i | \(0.957235\pi\) | |||||||
\(864\) | −13.9704 | − | 23.5767i | −0.475282 | − | 0.802097i | ||||
\(865\) | 5.68462 | − | 6.91935i | 0.193283 | − | 0.235265i | ||||
\(866\) | 2.23591 | − | 10.6375i | 0.0759793 | − | 0.361478i | ||||
\(867\) | 2.35878 | 0.0801082 | ||||||||
\(868\) | 1.70124 | − | 3.86810i | 0.0577437 | − | 0.131292i | ||||
\(869\) | − | 17.9730i | − | 0.609693i | ||||||
\(870\) | −26.6424 | − | 33.2256i | −0.903262 | − | 1.12645i | ||||
\(871\) | 22.8498 | 0.774237 | ||||||||
\(872\) | 8.34371 | − | 11.6498i | 0.282554 | − | 0.394511i | ||||
\(873\) | 3.20072i | 0.108328i | ||||||||
\(874\) | 30.5389 | + | 6.41899i | 1.03299 | + | 0.217126i | ||||
\(875\) | 5.28583 | − | 9.85190i | 0.178694 | − | 0.333055i | ||||
\(876\) | 3.25092 | − | 7.39162i | 0.109838 | − | 0.249740i | ||||
\(877\) | −24.0347 | −0.811595 | −0.405798 | − | 0.913963i | \(-0.633006\pi\) | ||||
−0.405798 | + | 0.913963i | \(0.633006\pi\) | |||||||
\(878\) | −47.7973 | − | 10.0465i | −1.61308 | − | 0.339054i | ||||
\(879\) | −9.86364 | −0.332692 | ||||||||
\(880\) | 0.663147 | + | 12.1890i | 0.0223547 | + | 0.410892i | ||||
\(881\) | −2.99314 | −0.100841 | −0.0504207 | − | 0.998728i | \(-0.516056\pi\) | ||||
−0.0504207 | + | 0.998728i | \(0.516056\pi\) | |||||||
\(882\) | 0.491547 | + | 0.103318i | 0.0165512 | + | 0.00347891i | ||||
\(883\) | −10.6397 | −0.358055 | −0.179028 | − | 0.983844i | \(-0.557295\pi\) | ||||
−0.179028 | + | 0.983844i | \(0.557295\pi\) | |||||||
\(884\) | 13.2227 | − | 30.0644i | 0.444727 | − | 1.01118i | ||||
\(885\) | 41.6456 | + | 34.2141i | 1.39990 | + | 1.15009i | ||||
\(886\) | −14.3158 | − | 3.00905i | −0.480949 | − | 0.101091i | ||||
\(887\) | 1.68812i | 0.0566816i | 0.999598 | + | 0.0283408i | \(0.00902236\pi\) | ||||
−0.999598 | + | 0.0283408i | \(0.990978\pi\) | |||||||
\(888\) | 9.83270 | + | 7.04230i | 0.329964 | + | 0.236324i | ||||
\(889\) | −7.68741 | −0.257827 | ||||||||
\(890\) | −21.2156 | + | 17.0120i | −0.711147 | + | 0.570242i | ||||
\(891\) | − | 13.5651i | − | 0.454449i | ||||||
\(892\) | 11.6435 | − | 26.4738i | 0.389853 | − | 0.886410i | ||||
\(893\) | 36.2511 | 1.21310 | ||||||||
\(894\) | −11.2867 | + | 53.6976i | −0.377484 | + | 1.79591i | ||||
\(895\) | −0.905643 | − | 0.744034i | −0.0302723 | − | 0.0248703i | ||||
\(896\) | 11.2316 | − | 1.36084i | 0.375220 | − | 0.0454623i | ||||
\(897\) | 41.6654i | 1.39117i | ||||||||
\(898\) | −57.6737 | − | 12.1225i | −1.92460 | − | 0.404532i | ||||
\(899\) | 15.5346i | 0.518107i | ||||||||
\(900\) | 0.771778 | − | 3.46684i | 0.0257259 | − | 0.115561i | ||||
\(901\) | 48.7282i | 1.62337i | ||||||||
\(902\) | 4.02841 | − | 19.1655i | 0.134131 | − | 0.638142i | ||||
\(903\) | − | 0.429756i | − | 0.0143014i | ||||||
\(904\) | 7.58004 | − | 10.5835i | 0.252108 | − | 0.352002i | ||||
\(905\) | −15.3625 | − | 12.6211i | −0.510667 | − | 0.419541i | ||||
\(906\) | 51.2056 | + | 10.7629i | 1.70119 | + | 0.357575i | ||||
\(907\) | 28.3463 | 0.941223 | 0.470612 | − | 0.882340i | \(-0.344033\pi\) | ||||
0.470612 | + | 0.882340i | \(0.344033\pi\) | |||||||
\(908\) | −19.0394 | − | 8.37376i | −0.631845 | − | 0.277893i | ||||
\(909\) | 3.33757i | 0.110700i | ||||||||
\(910\) | −7.59671 | − | 9.47382i | −0.251828 | − | 0.314054i | ||||
\(911\) | 3.10079 | 0.102734 | 0.0513669 | − | 0.998680i | \(-0.483642\pi\) | ||||
0.0513669 | + | 0.998680i | \(0.483642\pi\) | |||||||
\(912\) | −20.1171 | + | 18.4463i | −0.666145 | + | 0.610817i | ||||
\(913\) | 9.41992i | 0.311754i | ||||||||
\(914\) | −0.379037 | + | 1.80330i | −0.0125374 | + | 0.0596479i | ||||
\(915\) | −21.8714 | − | 17.9685i | −0.723045 | − | 0.594020i | ||||
\(916\) | −15.5796 | + | 35.4233i | −0.514764 | + | 1.17042i | ||||
\(917\) | −9.17717 | −0.303057 | ||||||||
\(918\) | −6.02664 | + | 28.6723i | −0.198909 | + | 0.946326i | ||||
\(919\) | −11.4846 | −0.378843 | −0.189421 | − | 0.981896i | \(-0.560661\pi\) | ||||
−0.189421 | + | 0.981896i | \(0.560661\pi\) | |||||||
\(920\) | 9.68634 | + | 36.1894i | 0.319349 | + | 1.19313i | ||||
\(921\) | −34.5840 | −1.13958 | ||||||||
\(922\) | −1.94111 | + | 9.23500i | −0.0639270 | + | 0.304139i | ||||
\(923\) | 13.4168 | 0.441618 | ||||||||
\(924\) | 4.57671 | + | 2.01289i | 0.150563 | + | 0.0662193i | ||||
\(925\) | −2.26517 | − | 11.4503i | −0.0744784 | − | 0.376485i | ||||
\(926\) | 4.55042 | − | 21.6490i | 0.149536 | − | 0.711431i | ||||
\(927\) | − | 2.64554i | − | 0.0868909i | ||||||
\(928\) | −35.7818 | + | 21.2025i | −1.17459 | + | 0.696005i | ||||
\(929\) | 3.40928 | 0.111855 | 0.0559274 | − | 0.998435i | \(-0.482188\pi\) | ||||
0.0559274 | + | 0.998435i | \(0.482188\pi\) | |||||||
\(930\) | −9.54790 | + | 7.65610i | −0.313088 | + | 0.251053i | ||||
\(931\) | 3.72521i | 0.122089i | ||||||||
\(932\) | −22.4208 | + | 50.9783i | −0.734419 | + | 1.66985i | ||||
\(933\) | −17.8889 | −0.585656 | ||||||||
\(934\) | 17.2885 | + | 3.63388i | 0.565697 | + | 0.118904i | ||||
\(935\) | 8.28448 | − | 10.0839i | 0.270932 | − | 0.329779i | ||||
\(936\) | −3.13625 | − | 2.24622i | −0.102512 | − | 0.0734200i | ||||
\(937\) | 8.41945i | 0.275052i | 0.990498 | + | 0.137526i | \(0.0439150\pi\) | ||||
−0.990498 | + | 0.137526i | \(0.956085\pi\) | |||||||
\(938\) | 1.73094 | − | 8.23509i | 0.0565171 | − | 0.268885i | ||||
\(939\) | 35.2682i | 1.15094i | ||||||||
\(940\) | 19.6590 | + | 38.8263i | 0.641207 | + | 1.26638i | ||||
\(941\) | − | 23.1299i | − | 0.754014i | −0.926210 | − | 0.377007i | \(-0.876953\pi\) | ||
0.926210 | − | 0.377007i | \(-0.123047\pi\) | |||||||
\(942\) | 27.1184 | + | 5.70003i | 0.883565 | + | 0.185717i | ||||
\(943\) | − | 60.1041i | − | 1.95726i | ||||||
\(944\) | 38.7959 | − | 35.5737i | 1.26270 | − | 1.15782i | ||||
\(945\) | 8.37026 | + | 6.87662i | 0.272285 | + | 0.223696i | ||||
\(946\) | 0.0931472 | − | 0.443156i | 0.00302848 | − | 0.0144083i | ||||
\(947\) | 2.30010 | 0.0747431 | 0.0373716 | − | 0.999301i | \(-0.488101\pi\) | ||||
0.0373716 | + | 0.999301i | \(0.488101\pi\) | |||||||
\(948\) | 44.1615 | + | 19.4228i | 1.43430 | + | 0.630822i | ||||
\(949\) | 8.46434i | 0.274764i | ||||||||
\(950\) | 26.3393 | + | 0.312674i | 0.854561 | + | 0.0101445i | ||||
\(951\) | −8.63409 | −0.279979 | ||||||||
\(952\) | −9.83357 | − | 7.04292i | −0.318708 | − | 0.228262i | ||||
\(953\) | − | 9.82067i | − | 0.318123i | −0.987269 | − | 0.159061i | \(-0.949153\pi\) | ||
0.987269 | − | 0.159061i | \(-0.0508468\pi\) | |||||||
\(954\) | 5.60100 | + | 1.17728i | 0.181339 | + | 0.0381157i | ||||
\(955\) | −18.1930 | + | 22.1446i | −0.588710 | + | 0.716582i | ||||
\(956\) | −25.2479 | − | 11.1043i | −0.816577 | − | 0.359140i | ||||
\(957\) | −18.3804 | −0.594155 | ||||||||
\(958\) | 41.2797 | + | 8.67661i | 1.33369 | + | 0.280328i | ||||
\(959\) | 9.98734 | 0.322508 | ||||||||
\(960\) | −30.6663 | − | 11.5428i | −0.989749 | − | 0.372542i | ||||
\(961\) | −26.5359 | −0.855997 | ||||||||
\(962\) | −12.4066 | − | 2.60775i | −0.400005 | − | 0.0840773i | ||||
\(963\) | −2.63727 | −0.0849847 | ||||||||
\(964\) | −56.4185 | − | 24.8135i | −1.81712 | − | 0.799190i | ||||
\(965\) | 4.37055 | + | 3.59064i | 0.140693 | + | 0.115587i | ||||
\(966\) | 15.0162 | + | 3.15627i | 0.483139 | + | 0.101551i | ||||
\(967\) | 15.1978i | 0.488728i | 0.969684 | + | 0.244364i | \(0.0785791\pi\) | ||||
−0.969684 | + | 0.244364i | \(0.921421\pi\) | |||||||
\(968\) | −21.0112 | − | 15.0485i | −0.675327 | − | 0.483677i | ||||
\(969\) | 29.1802 | 0.937402 | ||||||||
\(970\) | −17.8276 | − | 22.2327i | −0.572410 | − | 0.713850i | ||||
\(971\) | 3.72008i | 0.119383i | 0.998217 | + | 0.0596915i | \(0.0190117\pi\) | ||||
−0.998217 | + | 0.0596915i | \(0.980988\pi\) | |||||||
\(972\) | 6.72320 | + | 2.95695i | 0.215647 | + | 0.0948441i | ||||
\(973\) | 5.23949 | 0.167970 | ||||||||
\(974\) | 4.27946 | − | 20.3599i | 0.137123 | − | 0.652373i | ||||
\(975\) | 6.82522 | + | 34.5011i | 0.218582 | + | 1.10492i | ||||
\(976\) | −20.3748 | + | 18.6825i | −0.652181 | + | 0.598013i | ||||
\(977\) | 29.4900i | 0.943467i | 0.881741 | + | 0.471734i | \(0.156372\pi\) | ||||
−0.881741 | + | 0.471734i | \(0.843628\pi\) | |||||||
\(978\) | −4.53672 | − | 0.953575i | −0.145068 | − | 0.0304920i | ||||
\(979\) | 11.7364i | 0.375098i | ||||||||
\(980\) | −3.98984 | + | 2.02019i | −0.127451 | + | 0.0645325i | ||||
\(981\) | 1.79938i | 0.0574499i | ||||||||
\(982\) | 5.77940 | − | 27.4960i | 0.184428 | − | 0.877433i | ||||
\(983\) | − | 22.6176i | − | 0.721389i | −0.932684 | − | 0.360695i | \(-0.882540\pi\) | ||
0.932684 | − | 0.360695i | \(-0.117460\pi\) | |||||||
\(984\) | 42.7382 | + | 30.6096i | 1.36245 | + | 0.975800i | ||||
\(985\) | −33.5089 | + | 40.7872i | −1.06768 | + | 1.29959i | ||||
\(986\) | 43.5151 | + | 9.14646i | 1.38580 | + | 0.291283i | ||||
\(987\) | 17.8249 | 0.567374 | ||||||||
\(988\) | 11.5183 | − | 26.1892i | 0.366447 | − | 0.833191i | ||||
\(989\) | − | 1.38976i | − | 0.0441918i | ||||||
\(990\) | −0.958928 | − | 1.19588i | −0.0304767 | − | 0.0380074i | ||||
\(991\) | 5.62557 | 0.178702 | 0.0893510 | − | 0.996000i | \(-0.471521\pi\) | ||||
0.0893510 | + | 0.996000i | \(0.471521\pi\) | |||||||
\(992\) | 6.09285 | + | 10.2824i | 0.193448 | + | 0.326467i | ||||
\(993\) | 22.6692i | 0.719385i | ||||||||
\(994\) | 1.01636 | − | 4.83540i | 0.0322369 | − | 0.153370i | ||||
\(995\) | 14.5148 | − | 17.6675i | 0.460150 | − | 0.560097i | ||||
\(996\) | −23.1457 | − | 10.1797i | −0.733399 | − | 0.322558i | ||||
\(997\) | 52.3481 | 1.65788 | 0.828940 | − | 0.559337i | \(-0.188944\pi\) | ||||
0.828940 | + | 0.559337i | \(0.188944\pi\) | |||||||
\(998\) | 6.55985 | − | 31.2091i | 0.207648 | − | 0.987906i | ||||
\(999\) | 11.3094 | 0.357813 |
(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 | 280.2.l.a.29.1 | ✓ | 36 | |
4.3 | odd | 2 | 1120.2.l.a.1009.28 | 36 | |||
5.4 | even | 2 | inner | 280.2.l.a.29.36 | yes | 36 | |
8.3 | odd | 2 | 1120.2.l.a.1009.9 | 36 | |||
8.5 | even | 2 | inner | 280.2.l.a.29.35 | yes | 36 | |
20.19 | odd | 2 | 1120.2.l.a.1009.10 | 36 | |||
40.19 | odd | 2 | 1120.2.l.a.1009.27 | 36 | |||
40.29 | even | 2 | inner | 280.2.l.a.29.2 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.l.a.29.1 | ✓ | 36 | 1.1 | even | 1 | trivial | |
280.2.l.a.29.2 | yes | 36 | 40.29 | even | 2 | inner | |
280.2.l.a.29.35 | yes | 36 | 8.5 | even | 2 | inner | |
280.2.l.a.29.36 | yes | 36 | 5.4 | even | 2 | inner | |
1120.2.l.a.1009.9 | 36 | 8.3 | odd | 2 | |||
1120.2.l.a.1009.10 | 36 | 20.19 | odd | 2 | |||
1120.2.l.a.1009.27 | 36 | 40.19 | odd | 2 | |||
1120.2.l.a.1009.28 | 36 | 4.3 | odd | 2 |