Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(64,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.u (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{7})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 190.4 | ||
Character | \(\chi\) | \(=\) | 441.190 |
Dual form | 441.2.u.d.253.4 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.385632 | − | 0.483568i | 0.272683 | − | 0.341934i | −0.626568 | − | 0.779367i | \(-0.715541\pi\) |
0.899251 | + | 0.437433i | \(0.144112\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.359916 | + | 1.57690i | 0.179958 | + | 0.788448i | ||||
\(5\) | 3.63892 | + | 1.75241i | 1.62737 | + | 0.783702i | 0.999988 | + | 0.00499272i | \(0.00158924\pi\) |
0.627385 | + | 0.778709i | \(0.284125\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.64500 | − | 0.0631583i | −0.999715 | − | 0.0238716i | ||||
\(8\) | 2.01584 | + | 0.970778i | 0.712708 | + | 0.343222i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.25069 | − | 1.08388i | 0.711732 | − | 0.342752i | ||||
\(11\) | −0.0332349 | + | 0.0416752i | −0.0100207 | + | 0.0125656i | −0.786817 | − | 0.617187i | \(-0.788272\pi\) |
0.776796 | + | 0.629752i | \(0.216844\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.237234 | + | 0.297483i | −0.0657970 | + | 0.0825068i | −0.813641 | − | 0.581368i | \(-0.802518\pi\) |
0.747844 | + | 0.663875i | \(0.231089\pi\) | |||||||
\(14\) | −1.05054 | + | 1.25468i | −0.280768 | + | 0.335327i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.66773 | + | 0.803137i | −0.416933 | + | 0.200784i | ||||
\(17\) | 0.172451 | − | 0.755556i | 0.0418254 | − | 0.183249i | −0.949700 | − | 0.313161i | \(-0.898612\pi\) |
0.991526 | + | 0.129911i | \(0.0414693\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.32244 | −0.991637 | −0.495818 | − | 0.868426i | \(-0.665132\pi\) | ||||
−0.495818 | + | 0.868426i | \(0.665132\pi\) | |||||||
\(20\) | −1.45366 | + | 6.36892i | −0.325049 | + | 1.42413i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.00733635 | + | 0.0321427i | 0.00156412 | + | 0.00685284i | ||||
\(23\) | 0.445501 | + | 1.95187i | 0.0928934 | + | 0.406992i | 0.999900 | − | 0.0141234i | \(-0.00449576\pi\) |
−0.907007 | + | 0.421116i | \(0.861639\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.05333 | + | 8.84459i | 1.41067 | + | 1.76892i | ||||
\(26\) | 0.0523677 | + | 0.229438i | 0.0102702 | + | 0.0449965i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.852384 | − | 4.19362i | −0.161085 | − | 0.792520i | ||||
\(29\) | 1.94604 | − | 8.52617i | 0.361371 | − | 1.58327i | −0.388347 | − | 0.921513i | \(-0.626954\pi\) |
0.749718 | − | 0.661757i | \(-0.230189\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.67978 | 1.02012 | 0.510059 | − | 0.860139i | \(-0.329623\pi\) | ||||
0.510059 | + | 0.860139i | \(0.329623\pi\) | |||||||
\(32\) | −1.25050 | + | 5.47882i | −0.221060 | + | 0.968527i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.298860 | − | 0.374759i | −0.0512541 | − | 0.0642706i | ||||
\(35\) | −9.51425 | − | 4.86495i | −1.60820 | − | 0.822326i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.39948 | − | 10.5128i | 0.394472 | − | 1.72830i | −0.254131 | − | 0.967170i | \(-0.581789\pi\) |
0.648603 | − | 0.761127i | \(-0.275353\pi\) | |||||||
\(38\) | −1.66687 | + | 2.09020i | −0.270403 | + | 0.339074i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.63428 | + | 7.06516i | 0.890858 | + | 1.11710i | ||||
\(41\) | 1.87432 | + | 0.902623i | 0.292719 | + | 0.140966i | 0.574480 | − | 0.818519i | \(-0.305204\pi\) |
−0.281761 | + | 0.959485i | \(0.590919\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.37201 | + | 3.06860i | −0.971722 | + | 0.467956i | −0.851250 | − | 0.524760i | \(-0.824155\pi\) |
−0.120472 | + | 0.992717i | \(0.538441\pi\) | |||||||
\(44\) | −0.0776793 | − | 0.0374084i | −0.0117106 | − | 0.00563953i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.11566 | + | 0.537273i | 0.164495 | + | 0.0792166i | ||||
\(47\) | 6.67934 | − | 8.37562i | 0.974282 | − | 1.22171i | −0.000830966 | − | 1.00000i | \(-0.500265\pi\) |
0.975112 | − | 0.221711i | \(-0.0711641\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.99202 | + | 0.334107i | 0.998860 | + | 0.0477296i | ||||
\(50\) | 6.99695 | 0.989518 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.554484 | − | 0.267025i | −0.0768931 | − | 0.0370298i | ||||
\(53\) | 1.51990 | + | 6.65912i | 0.208775 | + | 0.914701i | 0.965384 | + | 0.260834i | \(0.0839974\pi\) |
−0.756609 | + | 0.653867i | \(0.773145\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.193971 | + | 0.0934116i | −0.0261551 | + | 0.0125956i | ||||
\(56\) | −5.27058 | − | 2.69502i | −0.704312 | − | 0.360138i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.37252 | − | 4.22901i | −0.442834 | − | 0.555297i | ||||
\(59\) | 6.38163 | − | 3.07323i | 0.830817 | − | 0.400101i | 0.0303958 | − | 0.999538i | \(-0.490323\pi\) |
0.800422 | + | 0.599437i | \(0.204609\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.24542 | − | 5.45654i | 0.159460 | − | 0.698638i | −0.830468 | − | 0.557066i | \(-0.811927\pi\) |
0.989928 | − | 0.141572i | \(-0.0452158\pi\) | |||||||
\(62\) | 2.19031 | − | 2.74656i | 0.278169 | − | 0.348813i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.141068 | − | 0.176894i | −0.0176336 | − | 0.0221118i | ||||
\(65\) | −1.38459 | + | 0.666783i | −0.171737 | + | 0.0827042i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.4126 | −1.27210 | −0.636049 | − | 0.771649i | \(-0.719432\pi\) | ||||
−0.636049 | + | 0.771649i | \(0.719432\pi\) | |||||||
\(68\) | 1.25350 | 0.152009 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.02153 | + | 2.72470i | −0.719711 | + | 0.325664i | ||||
\(71\) | 2.39721 | + | 10.5029i | 0.284496 | + | 1.24646i | 0.891961 | + | 0.452113i | \(0.149329\pi\) |
−0.607465 | + | 0.794347i | \(0.707813\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.54213 | − | 1.93377i | −0.180493 | − | 0.226330i | 0.683352 | − | 0.730089i | \(-0.260522\pi\) |
−0.863844 | + | 0.503759i | \(0.831950\pi\) | |||||||
\(74\) | −4.15834 | − | 5.21440i | −0.483397 | − | 0.606161i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.55572 | − | 6.81605i | −0.178453 | − | 0.781854i | ||||
\(77\) | 0.0905384 | − | 0.108132i | 0.0103178 | − | 0.0123228i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.7607 | −1.21067 | −0.605337 | − | 0.795969i | \(-0.706962\pi\) | ||||
−0.605337 | + | 0.795969i | \(0.706962\pi\) | |||||||
\(80\) | −7.47616 | −0.835861 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.15928 | − | 0.558278i | 0.128021 | − | 0.0616515i | ||||
\(83\) | −0.559861 | − | 0.702043i | −0.0614527 | − | 0.0770593i | 0.750155 | − | 0.661262i | \(-0.229979\pi\) |
−0.811608 | + | 0.584203i | \(0.801407\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.95158 | − | 2.44720i | 0.211678 | − | 0.265436i | ||||
\(86\) | −0.973378 | + | 4.26465i | −0.104962 | + | 0.459869i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.107454 | + | 0.0517470i | −0.0114546 | + | 0.00551625i | ||||
\(89\) | −7.55992 | − | 9.47984i | −0.801350 | − | 1.00486i | −0.999694 | − | 0.0247285i | \(-0.992128\pi\) |
0.198344 | − | 0.980132i | \(-0.436444\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.646273 | − | 0.771857i | 0.0677478 | − | 0.0809126i | ||||
\(92\) | −2.91755 | + | 1.40502i | −0.304176 | + | 0.146483i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.47441 | − | 6.45983i | −0.152074 | − | 0.666280i | ||||
\(95\) | −15.7290 | − | 7.57469i | −1.61376 | − | 0.777147i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.99553 | 1.01489 | 0.507446 | − | 0.861684i | \(-0.330590\pi\) | ||||
0.507446 | + | 0.861684i | \(0.330590\pi\) | |||||||
\(98\) | 2.85791 | − | 3.25227i | 0.288693 | − | 0.328529i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −11.4084 | + | 14.3057i | −1.14084 | + | 1.43057i | ||||
\(101\) | 6.36439 | + | 3.06493i | 0.633280 | + | 0.304972i | 0.722846 | − | 0.691009i | \(-0.242834\pi\) |
−0.0895657 | + | 0.995981i | \(0.528548\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −16.6568 | − | 8.02148i | −1.64124 | − | 0.790380i | −0.999729 | − | 0.0232665i | \(-0.992593\pi\) |
−0.641512 | − | 0.767113i | \(-0.721692\pi\) | |||||||
\(104\) | −0.767017 | + | 0.369376i | −0.0752122 | + | 0.0362203i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.80626 | + | 1.83300i | 0.369697 | + | 0.178037i | ||||
\(107\) | −7.11877 | − | 8.92665i | −0.688197 | − | 0.862972i | 0.307883 | − | 0.951424i | \(-0.400379\pi\) |
−0.996080 | + | 0.0884522i | \(0.971808\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.11134 | + | 3.90149i | −0.298012 | + | 0.373695i | −0.908182 | − | 0.418575i | \(-0.862530\pi\) |
0.610170 | + | 0.792270i | \(0.291101\pi\) | |||||||
\(110\) | −0.0296307 | + | 0.129821i | −0.00282518 | + | 0.0123779i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.46187 | − | 2.01897i | 0.421607 | − | 0.190774i | ||||
\(113\) | −7.46766 | − | 9.36415i | −0.702499 | − | 0.880905i | 0.294709 | − | 0.955587i | \(-0.404777\pi\) |
−0.997207 | + | 0.0746818i | \(0.976206\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.79933 | + | 7.88338i | −0.167788 | + | 0.735129i | ||||
\(116\) | 14.1453 | 1.31336 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.974848 | − | 4.27109i | 0.0897420 | − | 0.393186i | ||||
\(119\) | −0.503851 | + | 1.98755i | −0.0461880 | + | 0.182199i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.44710 | + | 10.7214i | 0.222463 | + | 0.974676i | ||||
\(122\) | −2.15833 | − | 2.70646i | −0.195406 | − | 0.245032i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.04425 | + | 8.95643i | 0.183579 | + | 0.804311i | ||||
\(125\) | 5.67342 | + | 24.8569i | 0.507447 | + | 2.22327i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.318999 | − | 1.39762i | 0.0283065 | − | 0.124019i | −0.958801 | − | 0.284080i | \(-0.908312\pi\) |
0.987107 | + | 0.160061i | \(0.0511690\pi\) | |||||||
\(128\) | −11.3794 | −1.00580 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.211508 | + | 0.926675i | −0.0185504 | + | 0.0812748i | ||||
\(131\) | 4.69568 | − | 2.26132i | 0.410263 | − | 0.197572i | −0.217357 | − | 0.976092i | \(-0.569743\pi\) |
0.627620 | + | 0.778520i | \(0.284029\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.4329 | + | 0.272998i | 0.991354 | + | 0.0236720i | ||||
\(134\) | −4.01543 | + | 5.03518i | −0.346880 | + | 0.434974i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.08111 | − | 1.35567i | 0.0927045 | − | 0.116248i | ||||
\(137\) | −3.02721 | + | 1.45783i | −0.258632 | + | 0.124551i | −0.558707 | − | 0.829365i | \(-0.688702\pi\) |
0.300075 | + | 0.953916i | \(0.402988\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.7861 | + | 7.60220i | 1.33896 | + | 0.644810i | 0.959843 | − | 0.280538i | \(-0.0905129\pi\) |
0.379119 | + | 0.925348i | \(0.376227\pi\) | |||||||
\(140\) | 4.24719 | − | 16.7540i | 0.358953 | − | 1.41597i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.00328 | + | 2.89103i | 0.503784 | + | 0.242610i | ||||
\(143\) | −0.00451320 | − | 0.0197736i | −0.000377413 | − | 0.00165355i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 22.0228 | − | 27.6158i | 1.82890 | − | 2.29336i | ||||
\(146\) | −1.52980 | −0.126607 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 17.4412 | 1.43366 | ||||||||
\(149\) | −10.1445 | + | 12.7208i | −0.831071 | + | 1.04213i | 0.167347 | + | 0.985898i | \(0.446480\pi\) |
−0.998418 | + | 0.0562321i | \(0.982091\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.07032 | − | 4.68939i | −0.0871017 | − | 0.381617i | 0.912523 | − | 0.409026i | \(-0.134132\pi\) |
−0.999624 | + | 0.0274088i | \(0.991274\pi\) | |||||||
\(152\) | −8.71337 | − | 4.19614i | −0.706747 | − | 0.340352i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0173746 | − | 0.0854806i | −0.00140008 | − | 0.00688822i | ||||
\(155\) | 20.6682 | + | 9.95330i | 1.66011 | + | 0.799469i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.04259 | + | 2.42838i | −0.402442 | + | 0.193806i | −0.624145 | − | 0.781308i | \(-0.714553\pi\) |
0.221703 | + | 0.975114i | \(0.428838\pi\) | |||||||
\(158\) | −4.14968 | + | 5.20353i | −0.330131 | + | 0.413971i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −14.1516 | + | 17.7456i | −1.11878 | + | 1.40291i | ||||
\(161\) | −1.05507 | − | 5.19082i | −0.0831513 | − | 0.409094i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.40582 | − | 1.15858i | 0.188438 | − | 0.0907472i | −0.337286 | − | 0.941402i | \(-0.609509\pi\) |
0.525724 | + | 0.850655i | \(0.323794\pi\) | |||||||
\(164\) | −0.748746 | + | 3.28047i | −0.0584672 | + | 0.256162i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.555386 | −0.0431063 | ||||||||
\(167\) | 3.32240 | − | 14.5564i | 0.257095 | − | 1.12641i | −0.667245 | − | 0.744839i | \(-0.732526\pi\) |
0.924340 | − | 0.381570i | \(-0.124616\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.86056 | + | 12.5329i | 0.220043 | + | 0.964071i | ||||
\(170\) | −0.430796 | − | 1.88744i | −0.0330405 | − | 0.144760i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.13225 | − | 8.94356i | −0.543829 | − | 0.681940i | ||||
\(173\) | −0.900408 | − | 3.94494i | −0.0684567 | − | 0.299929i | 0.929097 | − | 0.369837i | \(-0.120586\pi\) |
−0.997553 | + | 0.0699084i | \(0.977729\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −18.0974 | − | 23.8394i | −1.36804 | − | 1.80209i | ||||
\(176\) | 0.0219560 | − | 0.0961953i | 0.00165499 | − | 0.00725100i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.49950 | −0.562111 | ||||||||
\(179\) | −1.10290 | + | 4.83214i | −0.0824350 | + | 0.361171i | −0.999275 | − | 0.0380847i | \(-0.987874\pi\) |
0.916840 | + | 0.399256i | \(0.130731\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.04779 | − | 10.0916i | −0.598188 | − | 0.750104i | 0.386906 | − | 0.922119i | \(-0.373544\pi\) |
−0.985094 | + | 0.172015i | \(0.944972\pi\) | |||||||
\(182\) | −0.124022 | − | 0.610170i | −0.00919309 | − | 0.0452288i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.996771 | + | 4.36714i | −0.0734829 | + | 0.321950i | ||||
\(185\) | 27.1543 | − | 34.0504i | 1.99642 | − | 2.50343i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0257566 | + | 0.0322977i | 0.00188351 | + | 0.00236185i | ||||
\(188\) | 15.6115 | + | 7.51810i | 1.13859 | + | 0.548314i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −9.72850 | + | 4.68500i | −0.705779 | + | 0.339885i | ||||
\(191\) | −1.39236 | − | 0.670526i | −0.100748 | − | 0.0485175i | 0.382831 | − | 0.923818i | \(-0.374949\pi\) |
−0.483579 | + | 0.875301i | \(0.660663\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.5003 | − | 6.50139i | −0.971771 | − | 0.467980i | −0.120504 | − | 0.992713i | \(-0.538451\pi\) |
−0.851267 | + | 0.524732i | \(0.824165\pi\) | |||||||
\(194\) | 3.85460 | − | 4.83351i | 0.276744 | − | 0.347026i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.98969 | + | 11.1459i | 0.142121 | + | 0.796139i | ||||
\(197\) | 8.90428 | 0.634403 | 0.317202 | − | 0.948358i | \(-0.397257\pi\) | ||||
0.317202 | + | 0.948358i | \(0.397257\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.6578 | + | 6.09570i | 0.897291 | + | 0.432112i | 0.824910 | − | 0.565265i | \(-0.191226\pi\) |
0.0723811 | + | 0.997377i | \(0.476940\pi\) | |||||||
\(200\) | 5.63225 | + | 24.6765i | 0.398260 | + | 1.74489i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.93642 | − | 1.89568i | 0.276965 | − | 0.133379i | ||||
\(203\) | −5.68578 | + | 22.4288i | −0.399063 | + | 1.57419i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.23871 | + | 6.56914i | 0.365888 | + | 0.458809i | ||||
\(206\) | −10.3023 | + | 4.96134i | −0.717797 | + | 0.345673i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.156724 | − | 0.686653i | 0.0108669 | − | 0.0476108i | ||||
\(209\) | 0.143656 | − | 0.180139i | 0.00993689 | − | 0.0124605i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.27635 | − | 10.3782i | −0.569767 | − | 0.714466i | 0.410562 | − | 0.911832i | \(-0.365332\pi\) |
−0.980330 | + | 0.197367i | \(0.936761\pi\) | |||||||
\(212\) | −9.95371 | + | 4.79346i | −0.683624 | + | 0.329216i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.06187 | −0.482739 | ||||||||
\(215\) | −28.5646 | −1.94809 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −15.0230 | − | 0.358726i | −1.01983 | − | 0.0243519i | ||||
\(218\) | 0.686804 | + | 3.00909i | 0.0465163 | + | 0.203801i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.217114 | − | 0.272252i | −0.0146378 | − | 0.0183552i | ||||
\(221\) | 0.183854 | + | 0.230545i | 0.0123673 | + | 0.0155081i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.51294 | + | 15.3912i | 0.235244 | + | 1.03067i | 0.945217 | + | 0.326442i | \(0.105850\pi\) |
−0.709973 | + | 0.704228i | \(0.751293\pi\) | |||||||
\(224\) | 3.65361 | − | 14.4125i | 0.244117 | − | 0.962974i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.40798 | −0.492771 | ||||||||
\(227\) | 15.9623 | 1.05946 | 0.529729 | − | 0.848167i | \(-0.322294\pi\) | ||||
0.529729 | + | 0.848167i | \(0.322294\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.76409 | + | 3.73899i | −0.513066 | + | 0.247079i | −0.672457 | − | 0.740136i | \(-0.734761\pi\) |
0.159392 | + | 0.987215i | \(0.449047\pi\) | |||||||
\(230\) | 3.11827 | + | 3.91019i | 0.205613 | + | 0.257830i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.1999 | − | 15.2982i | 0.800965 | − | 1.00438i | ||||
\(233\) | −1.22070 | + | 5.34823i | −0.0799706 | + | 0.350374i | −0.999044 | − | 0.0437119i | \(-0.986082\pi\) |
0.919074 | + | 0.394086i | \(0.128939\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 38.9831 | − | 18.7733i | 2.54298 | − | 1.22463i | ||||
\(236\) | 7.14302 | + | 8.95707i | 0.464971 | + | 0.583055i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.766815 | + | 1.01011i | 0.0497052 | + | 0.0654758i | ||||
\(239\) | 4.76555 | − | 2.29497i | 0.308258 | − | 0.148449i | −0.273359 | − | 0.961912i | \(-0.588135\pi\) |
0.581617 | + | 0.813463i | \(0.302420\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.149391 | − | 0.654524i | −0.00962310 | − | 0.0421616i | 0.969888 | − | 0.243550i | \(-0.0783119\pi\) |
−0.979512 | + | 0.201388i | \(0.935455\pi\) | |||||||
\(242\) | 6.12822 | + | 2.95120i | 0.393937 | + | 0.189710i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.05265 | 0.579536 | ||||||||
\(245\) | 24.8579 | + | 13.4687i | 1.58811 | + | 0.860482i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.02543 | − | 1.28585i | 0.0652467 | − | 0.0818168i | ||||
\(248\) | 11.4495 | + | 5.51381i | 0.727047 | + | 0.350127i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 14.2079 | + | 6.84214i | 0.898584 | + | 0.432735i | ||||
\(251\) | 9.37828 | − | 4.51634i | 0.591952 | − | 0.285069i | −0.113828 | − | 0.993501i | \(-0.536311\pi\) |
0.705780 | + | 0.708431i | \(0.250597\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0961507 | − | 0.0463037i | −0.00604494 | − | 0.00291109i | ||||
\(254\) | −0.552830 | − | 0.693227i | −0.0346876 | − | 0.0434969i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.10612 | + | 5.14891i | −0.256632 | + | 0.321807i | ||||
\(257\) | −0.883387 | + | 3.87037i | −0.0551041 | + | 0.241427i | −0.994978 | − | 0.100095i | \(-0.968085\pi\) |
0.939874 | + | 0.341522i | \(0.110942\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.01060 | + | 27.6548i | −0.435617 | + | 1.71839i | ||||
\(260\) | −1.54978 | − | 1.94337i | −0.0961135 | − | 0.120522i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.717305 | − | 3.14272i | 0.0443152 | − | 0.194158i | ||||
\(263\) | −6.59671 | −0.406771 | −0.203385 | − | 0.979099i | \(-0.565194\pi\) | ||||
−0.203385 | + | 0.979099i | \(0.565194\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.13872 | + | 26.8955i | −0.377098 | + | 1.65218i | ||||
\(266\) | 4.54089 | − | 5.42328i | 0.278420 | − | 0.332523i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.74766 | − | 16.4196i | −0.228924 | − | 1.00298i | ||||
\(269\) | 13.9706 | + | 17.5186i | 0.851804 | + | 1.06813i | 0.996898 | + | 0.0787100i | \(0.0250801\pi\) |
−0.145094 | + | 0.989418i | \(0.546348\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.933332 | + | 4.08919i | 0.0566959 | + | 0.248401i | 0.995332 | − | 0.0965074i | \(-0.0307672\pi\) |
−0.938636 | + | 0.344908i | \(0.887910\pi\) | |||||||
\(272\) | 0.319214 | + | 1.39857i | 0.0193552 | + | 0.0848006i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.462432 | + | 2.02605i | −0.0279365 | + | 0.122398i | ||||
\(275\) | −0.603017 | −0.0363633 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.48945 | + | 19.6696i | −0.269745 | + | 1.18183i | 0.640566 | + | 0.767904i | \(0.278700\pi\) |
−0.910310 | + | 0.413926i | \(0.864157\pi\) | |||||||
\(278\) | 9.76382 | − | 4.70201i | 0.585595 | − | 0.282008i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −14.4564 | − | 19.0432i | −0.863937 | − | 1.13805i | ||||
\(281\) | −10.7077 | + | 13.4270i | −0.638767 | + | 0.800988i | −0.990848 | − | 0.134981i | \(-0.956903\pi\) |
0.352081 | + | 0.935969i | \(0.385474\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.91185 | − | 8.66719i | 0.410867 | − | 0.515211i | −0.532740 | − | 0.846279i | \(-0.678838\pi\) |
0.943607 | + | 0.331068i | \(0.107409\pi\) | |||||||
\(284\) | −15.6991 | + | 7.56030i | −0.931572 | + | 0.448621i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.0113023 | − | 0.00544291i | −0.000668320 | − | 0.000321846i | ||||
\(287\) | −4.90055 | − | 2.50581i | −0.289270 | − | 0.147913i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.7753 | + | 7.11543i | 0.869138 | + | 0.418555i | ||||
\(290\) | −4.86137 | − | 21.2991i | −0.285470 | − | 1.25072i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.49432 | − | 3.12777i | 0.145969 | − | 0.183039i | ||||
\(293\) | −32.7132 | −1.91112 | −0.955562 | − | 0.294791i | \(-0.904750\pi\) | ||||
−0.955562 | + | 0.294791i | \(0.904750\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 28.6078 | 1.66561 | ||||||||
\(296\) | 15.0426 | − | 18.8628i | 0.874333 | − | 1.09638i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.23932 | + | 9.81112i | 0.129721 | + | 0.568343i | ||||
\(299\) | −0.686335 | − | 0.330521i | −0.0396918 | − | 0.0191145i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.0477 | − | 7.71398i | 0.982616 | − | 0.444627i | ||||
\(302\) | −2.68039 | − | 1.29081i | −0.154239 | − | 0.0742777i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.20868 | − | 3.47152i | 0.413446 | − | 0.199105i | ||||
\(305\) | 14.0941 | − | 17.6734i | 0.807024 | − | 1.01198i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.38992 | + | 4.25082i | −0.193473 | + | 0.242607i | −0.869100 | − | 0.494636i | \(-0.835301\pi\) |
0.675627 | + | 0.737243i | \(0.263873\pi\) | |||||||
\(308\) | 0.203099 | + | 0.103851i | 0.0115726 | + | 0.00591747i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 12.7834 | − | 6.15618i | 0.726051 | − | 0.349648i | ||||
\(311\) | −3.05055 | + | 13.3654i | −0.172981 | + | 0.757880i | 0.811779 | + | 0.583964i | \(0.198499\pi\) |
−0.984761 | + | 0.173916i | \(0.944358\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −22.0195 | −1.24462 | −0.622309 | − | 0.782772i | \(-0.713805\pi\) | ||||
−0.622309 | + | 0.782772i | \(0.713805\pi\) | |||||||
\(314\) | −0.770298 | + | 3.37490i | −0.0434704 | + | 0.190456i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.87295 | − | 16.9685i | −0.217871 | − | 0.954554i | ||||
\(317\) | −2.21593 | − | 9.70861i | −0.124459 | − | 0.545290i | −0.998258 | − | 0.0590026i | \(-0.981208\pi\) |
0.873799 | − | 0.486287i | \(-0.161649\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.290654 | + | 0.364468i | 0.0162735 | + | 0.0204063i | ||||
\(320\) | −0.203345 | − | 0.890913i | −0.0113673 | − | 0.0498036i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.91698 | − | 1.49155i | −0.162557 | − | 0.0831208i | ||||
\(323\) | −0.745409 | + | 3.26585i | −0.0414756 | + | 0.181717i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.30440 | −0.238765 | ||||||||
\(326\) | 0.367510 | − | 1.61016i | 0.0203545 | − | 0.0891788i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.90208 | + | 3.63909i | 0.160240 | + | 0.200935i | ||||
\(329\) | −18.1958 | + | 21.7316i | −1.00317 | + | 1.19810i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.61336 | − | 20.2124i | 0.253573 | − | 1.11098i | −0.674411 | − | 0.738356i | \(-0.735602\pi\) |
0.927984 | − | 0.372620i | \(-0.121540\pi\) | |||||||
\(332\) | 0.905547 | − | 1.13552i | 0.0496983 | − | 0.0623197i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.75778 | − | 7.22003i | −0.315052 | − | 0.395062i | ||||
\(335\) | −37.8905 | − | 18.2471i | −2.07018 | − | 0.996945i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.6965 | + | 9.48533i | −1.07294 | + | 0.516699i | −0.885052 | − | 0.465492i | \(-0.845877\pi\) |
−0.187885 | + | 0.982191i | \(0.560163\pi\) | |||||||
\(338\) | 7.16364 | + | 3.44983i | 0.389651 | + | 0.187646i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.56139 | + | 2.19665i | 0.247376 | + | 0.119130i | ||||
\(341\) | −0.188767 | + | 0.236706i | −0.0102223 | + | 0.0128184i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4728 | − | 1.32532i | −0.997436 | − | 0.0715604i | ||||
\(344\) | −15.8239 | −0.853167 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.25487 | − | 1.08589i | −0.121223 | − | 0.0583778i | ||||
\(347\) | 2.04869 | + | 8.97591i | 0.109980 | + | 0.481852i | 0.999680 | + | 0.0253068i | \(0.00805625\pi\) |
−0.889700 | + | 0.456545i | \(0.849087\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −30.1787 | + | 14.5333i | −1.61543 | + | 0.777950i | −0.999948 | − | 0.0102001i | \(-0.996753\pi\) |
−0.615483 | + | 0.788150i | \(0.711039\pi\) | |||||||
\(350\) | −18.5069 | − | 0.441916i | −0.989236 | − | 0.0236214i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.186771 | − | 0.234203i | −0.00995491 | − | 0.0124831i | ||||
\(353\) | 4.69848 | − | 2.26267i | 0.250075 | − | 0.120430i | −0.304648 | − | 0.952465i | \(-0.598539\pi\) |
0.554723 | + | 0.832035i | \(0.312824\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.68207 | + | 42.4199i | −0.513871 | + | 2.25141i | ||||
\(356\) | 12.2278 | − | 15.3332i | 0.648072 | − | 0.812656i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.91135 | + | 2.39676i | 0.101018 | + | 0.126673i | ||||
\(359\) | 14.7239 | − | 7.09065i | 0.777097 | − | 0.374230i | −0.00291421 | − | 0.999996i | \(-0.500928\pi\) |
0.780011 | + | 0.625766i | \(0.215213\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.316475 | −0.0166566 | ||||||||
\(362\) | −7.98347 | −0.419602 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.44974 | + | 0.741302i | 0.0759872 | + | 0.0388548i | ||||
\(365\) | −2.22292 | − | 9.73926i | −0.116353 | − | 0.509776i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.85353 | − | 3.57822i | −0.148953 | − | 0.186781i | 0.701757 | − | 0.712416i | \(-0.252399\pi\) |
−0.850710 | + | 0.525635i | \(0.823828\pi\) | |||||||
\(368\) | −2.31059 | − | 2.89739i | −0.120448 | − | 0.151037i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.99410 | − | 26.2619i | −0.311618 | − | 1.36529i | ||||
\(371\) | −3.59956 | − | 17.7094i | −0.186880 | − | 0.919424i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 24.5427 | 1.27077 | 0.635387 | − | 0.772194i | \(-0.280841\pi\) | ||||
0.635387 | + | 0.772194i | \(0.280841\pi\) | |||||||
\(374\) | 0.0255507 | 0.00132120 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 21.5954 | − | 10.3998i | 1.11370 | − | 0.536328i | ||||
\(377\) | 2.07472 | + | 2.60162i | 0.106853 | + | 0.133990i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.14950 | + | 2.69539i | −0.110412 | + | 0.138453i | −0.833967 | − | 0.551815i | \(-0.813936\pi\) |
0.723555 | + | 0.690267i | \(0.242507\pi\) | |||||||
\(380\) | 6.28338 | − | 27.5293i | 0.322331 | − | 1.41222i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.861184 | + | 0.414724i | −0.0440620 | + | 0.0212191i | ||||
\(383\) | 17.0160 | + | 21.3374i | 0.869476 | + | 1.09029i | 0.995165 | + | 0.0982187i | \(0.0313145\pi\) |
−0.125689 | + | 0.992070i | \(0.540114\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.518953 | − | 0.234822i | 0.0264483 | − | 0.0119677i | ||||
\(386\) | −8.35001 | + | 4.02115i | −0.425004 | + | 0.204671i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.59755 | + | 15.7619i | 0.182638 | + | 0.800190i | ||||
\(389\) | 5.02221 | + | 2.41857i | 0.254636 | + | 0.122626i | 0.556848 | − | 0.830615i | \(-0.312011\pi\) |
−0.302212 | + | 0.953241i | \(0.597725\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.55157 | 0.0784663 | ||||||||
\(392\) | 13.7705 | + | 7.46121i | 0.695514 | + | 0.376848i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.43378 | − | 4.30582i | 0.172991 | − | 0.216924i | ||||
\(395\) | −39.1573 | − | 18.8572i | −1.97022 | − | 0.948807i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.96250 | − | 0.945088i | −0.0984948 | − | 0.0474326i | 0.383988 | − | 0.923338i | \(-0.374551\pi\) |
−0.482483 | + | 0.875906i | \(0.660265\pi\) | |||||||
\(398\) | 7.82896 | − | 3.77023i | 0.392430 | − | 0.188984i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −18.8665 | − | 9.08562i | −0.943324 | − | 0.454281i | ||||
\(401\) | 0.819337 | + | 1.02742i | 0.0409157 | + | 0.0513067i | 0.801868 | − | 0.597501i | \(-0.203839\pi\) |
−0.760953 | + | 0.648807i | \(0.775268\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.34744 | + | 1.68964i | −0.0671208 | + | 0.0841668i | ||||
\(404\) | −2.54243 | + | 11.1391i | −0.126490 | + | 0.554191i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.65322 | + | 11.3987i | 0.429452 | + | 0.565709i | ||||
\(407\) | 0.358378 | + | 0.449391i | 0.0177641 | + | 0.0222755i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.02377 | − | 13.2480i | 0.149516 | − | 0.655071i | −0.843504 | − | 0.537123i | \(-0.819511\pi\) |
0.993020 | − | 0.117948i | \(-0.0376317\pi\) | |||||||
\(410\) | 5.19684 | 0.256654 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.65400 | − | 29.1531i | 0.327819 | − | 1.43627i | ||||
\(413\) | −17.0735 | + | 7.72563i | −0.840132 | + | 0.380154i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.807019 | − | 3.53578i | −0.0396150 | − | 0.173565i | ||||
\(416\) | −1.33319 | − | 1.67177i | −0.0653650 | − | 0.0819651i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.0317110 | − | 0.138935i | −0.00155103 | − | 0.00679552i | ||||
\(419\) | 4.25773 | + | 18.6544i | 0.208004 | + | 0.911325i | 0.965893 | + | 0.258941i | \(0.0833736\pi\) |
−0.757889 | + | 0.652383i | \(0.773769\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.32787 | − | 5.81777i | 0.0647163 | − | 0.283541i | −0.932207 | − | 0.361926i | \(-0.882119\pi\) |
0.996923 | + | 0.0783853i | \(0.0249764\pi\) | |||||||
\(422\) | −8.21020 | −0.399666 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.40065 | + | 14.8992i | −0.165150 | + | 0.723571i | ||||
\(425\) | 7.89893 | − | 3.80393i | 0.383155 | − | 0.184518i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.63876 | + | 14.3539i | −0.176092 | + | 0.694633i | ||||
\(428\) | 11.5142 | − | 14.4384i | 0.556562 | − | 0.697907i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −11.0155 | + | 13.8129i | −0.531212 | + | 0.666119i | ||||
\(431\) | 5.39828 | − | 2.59968i | 0.260026 | − | 0.125222i | −0.299329 | − | 0.954150i | \(-0.596763\pi\) |
0.559356 | + | 0.828928i | \(0.311049\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.67798 | − | 2.73437i | −0.272866 | − | 0.131406i | 0.292447 | − | 0.956282i | \(-0.405530\pi\) |
−0.565313 | + | 0.824876i | \(0.691245\pi\) | |||||||
\(434\) | −5.96683 | + | 7.12631i | −0.286417 | + | 0.342074i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.27208 | − | 3.50205i | −0.348269 | − | 0.167718i | ||||
\(437\) | −1.92565 | − | 8.43684i | −0.0921165 | − | 0.403589i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.98987 | + | 2.49521i | −0.0949711 | + | 0.119090i | −0.827046 | − | 0.562134i | \(-0.809981\pi\) |
0.732075 | + | 0.681224i | \(0.238552\pi\) | |||||||
\(440\) | −0.481697 | −0.0229640 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.182384 | 0.00867512 | ||||||||
\(443\) | −18.5532 | + | 23.2650i | −0.881491 | + | 1.10535i | 0.112254 | + | 0.993680i | \(0.464193\pi\) |
−0.993745 | + | 0.111675i | \(0.964379\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −10.8974 | − | 47.7444i | −0.516584 | − | 2.26330i | ||||
\(446\) | 8.79739 | + | 4.23660i | 0.416568 | + | 0.200609i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.361953 | + | 0.476794i | 0.0171007 | + | 0.0225264i | ||||
\(449\) | 27.0875 | + | 13.0446i | 1.27834 | + | 0.615614i | 0.944962 | − | 0.327180i | \(-0.106098\pi\) |
0.333375 | + | 0.942794i | \(0.391813\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.0999097 | + | 0.0481140i | −0.00470456 | + | 0.00226560i | ||||
\(452\) | 12.0786 | − | 15.1460i | 0.568128 | − | 0.712410i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.15560 | − | 7.71888i | 0.288897 | − | 0.362265i | ||||
\(455\) | 3.70434 | − | 1.67619i | 0.173662 | − | 0.0785810i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −26.6941 | + | 12.8552i | −1.24870 | + | 0.601340i | −0.937162 | − | 0.348895i | \(-0.886557\pi\) |
−0.311533 | + | 0.950235i | \(0.600843\pi\) | |||||||
\(458\) | −1.18603 | + | 5.19634i | −0.0554196 | + | 0.242809i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −13.0789 | −0.609806 | ||||||||
\(461\) | −1.09106 | + | 4.78027i | −0.0508159 | + | 0.222639i | −0.993960 | − | 0.109746i | \(-0.964996\pi\) |
0.943144 | + | 0.332385i | \(0.107853\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.59483 | + | 15.7500i | 0.167066 | + | 0.731963i | 0.987160 | + | 0.159734i | \(0.0510638\pi\) |
−0.820094 | + | 0.572228i | \(0.806079\pi\) | |||||||
\(464\) | 3.60221 | + | 15.7823i | 0.167228 | + | 0.732675i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.11549 | + | 2.65274i | 0.0979982 | + | 0.122886i | ||||
\(467\) | −8.51045 | − | 37.2867i | −0.393817 | − | 1.72542i | −0.651014 | − | 0.759066i | \(-0.725656\pi\) |
0.257197 | − | 0.966359i | \(-0.417201\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 27.5412 | + | 0.657641i | 1.27174 | + | 0.0303670i | ||||
\(470\) | 5.95500 | − | 26.0905i | 0.274684 | − | 1.20347i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 15.8478 | 0.729453 | ||||||||
\(473\) | 0.0838885 | − | 0.367539i | 0.00385720 | − | 0.0168995i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −30.4876 | − | 38.2302i | −1.39887 | − | 1.75412i | ||||
\(476\) | −3.31551 | − | 0.0791691i | −0.151966 | − | 0.00362871i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.727979 | − | 3.18948i | 0.0332970 | − | 0.145884i | ||||
\(479\) | −19.7900 | + | 24.8158i | −0.904226 | + | 1.13386i | 0.0862630 | + | 0.996272i | \(0.472507\pi\) |
−0.990489 | + | 0.137591i | \(0.956064\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.55814 | + | 3.20781i | 0.116641 | + | 0.146263i | ||||
\(482\) | −0.374117 | − | 0.180165i | −0.0170405 | − | 0.00820629i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −16.0258 | + | 7.71764i | −0.728448 | + | 0.350802i | ||||
\(485\) | 36.3729 | + | 17.5163i | 1.65161 | + | 0.795372i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.30514 | − | 3.99954i | −0.376342 | − | 0.181237i | 0.236144 | − | 0.971718i | \(-0.424116\pi\) |
−0.612486 | + | 0.790481i | \(0.709830\pi\) | |||||||
\(488\) | 7.80766 | − | 9.79050i | 0.353436 | − | 0.443195i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 16.0990 | − | 6.82652i | 0.727280 | − | 0.308391i | ||||
\(491\) | −9.72710 | −0.438978 | −0.219489 | − | 0.975615i | \(-0.570439\pi\) | ||||
−0.219489 | + | 0.975615i | \(0.570439\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.10640 | − | 2.94069i | −0.275019 | − | 0.132442i | ||||
\(494\) | −0.226357 | − | 0.991733i | −0.0101843 | − | 0.0446202i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.47235 | + | 4.56164i | −0.425321 | + | 0.204824i | ||||
\(497\) | −5.67727 | − | 27.9314i | −0.254660 | − | 1.25290i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.6707 | − | 14.6346i | −0.522453 | − | 0.655136i | 0.448675 | − | 0.893695i | \(-0.351896\pi\) |
−0.971128 | + | 0.238560i | \(0.923325\pi\) | |||||||
\(500\) | −37.1548 | + | 17.8928i | −1.66161 | + | 0.800191i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.43261 | − | 6.27669i | 0.0639406 | − | 0.280142i | ||||
\(503\) | 11.4601 | − | 14.3705i | 0.510981 | − | 0.640749i | −0.457686 | − | 0.889114i | \(-0.651322\pi\) |
0.968667 | + | 0.248364i | \(0.0798930\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.7885 | + | 22.3060i | 0.791576 | + | 0.992605i | ||||
\(506\) | −0.0594698 | + | 0.0286392i | −0.00264376 | + | 0.00127317i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.31872 | 0.102877 | ||||||||
\(509\) | −11.0967 | −0.491855 | −0.245927 | − | 0.969288i | \(-0.579092\pi\) | ||||
−0.245927 | + | 0.969288i | \(0.579092\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.95679 | + | 5.21221i | 0.175038 | + | 0.230575i | ||||
\(512\) | −4.15790 | − | 18.2170i | −0.183755 | − | 0.805083i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.53092 | + | 1.91972i | 0.0675261 | + | 0.0846751i | ||||
\(515\) | −46.5557 | − | 58.3790i | −2.05149 | − | 2.57249i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.127069 | + | 0.556726i | 0.00558849 | + | 0.0244848i | ||||
\(518\) | 10.6695 | + | 14.0547i | 0.468790 | + | 0.617528i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.43841 | −0.150784 | ||||||||
\(521\) | −14.5769 | −0.638627 | −0.319313 | − | 0.947649i | \(-0.603452\pi\) | ||||
−0.319313 | + | 0.947649i | \(0.603452\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.404037 | − | 0.194574i | 0.0176673 | − | 0.00850813i | −0.425029 | − | 0.905180i | \(-0.639736\pi\) |
0.442697 | + | 0.896671i | \(0.354022\pi\) | |||||||
\(524\) | 5.25592 | + | 6.59072i | 0.229606 | + | 0.287917i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.54391 | + | 3.18996i | −0.110920 | + | 0.139089i | ||||
\(527\) | 0.979482 | − | 4.29139i | 0.0426669 | − | 0.186936i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.1110 | − | 8.24021i | 0.743955 | − | 0.358270i | ||||
\(530\) | 10.6385 | + | 13.3403i | 0.462107 | + | 0.579464i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.68438 | + | 18.1267i | 0.159738 | + | 0.785892i | ||||
\(533\) | −0.713167 | + | 0.343443i | −0.0308907 | + | 0.0148762i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −10.2614 | − | 44.9583i | −0.443641 | − | 1.94372i | ||||
\(536\) | −20.9901 | − | 10.1083i | −0.906634 | − | 0.436612i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 13.8590 | 0.597502 | ||||||||
\(539\) | −0.246303 | + | 0.280290i | −0.0106090 | + | 0.0120730i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.5661 | + | 14.5034i | −0.497266 | + | 0.623552i | −0.965610 | − | 0.259994i | \(-0.916279\pi\) |
0.468344 | + | 0.883546i | \(0.344851\pi\) | |||||||
\(542\) | 2.33733 | + | 1.12560i | 0.100397 | + | 0.0483485i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.92390 | + | 1.88965i | 0.168236 | + | 0.0810181i | ||||
\(545\) | −18.1589 | + | 8.74487i | −0.777843 | + | 0.374589i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.21231 | + | 2.99169i | 0.265619 | + | 0.127915i | 0.561953 | − | 0.827169i | \(-0.310050\pi\) |
−0.296334 | + | 0.955084i | \(0.595764\pi\) | |||||||
\(548\) | −3.38839 | − | 4.24890i | −0.144745 | − | 0.181504i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.232543 | + | 0.291600i | −0.00991566 | + | 0.0124338i | ||||
\(551\) | −8.41166 | + | 36.8539i | −0.358349 | + | 1.57003i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 28.4620 | + | 0.679628i | 1.21033 | + | 0.0289007i | ||||
\(554\) | 7.78029 | + | 9.75618i | 0.330553 | + | 0.414500i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.30620 | + | 27.6292i | −0.267442 | + | 1.17174i | ||||
\(557\) | 40.3244 | 1.70860 | 0.854299 | − | 0.519781i | \(-0.173987\pi\) | ||||
0.854299 | + | 0.519781i | \(0.173987\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.598805 | − | 2.62354i | 0.0253268 | − | 0.110964i | ||||
\(560\) | 19.7744 | + | 0.472182i | 0.835622 | + | 0.0199533i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.36364 | + | 10.3558i | 0.0997041 | + | 0.436832i | ||||
\(563\) | −3.30611 | − | 4.14573i | −0.139336 | − | 0.174722i | 0.707267 | − | 0.706946i | \(-0.249928\pi\) |
−0.846603 | + | 0.532225i | \(0.821356\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.7644 | − | 47.1618i | −0.452860 | − | 1.98411i | ||||
\(566\) | −1.52574 | − | 6.68470i | −0.0641316 | − | 0.280979i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.36355 | + | 23.4993i | −0.225050 | + | 0.986007i | ||||
\(569\) | 42.7802 | 1.79344 | 0.896720 | − | 0.442598i | \(-0.145943\pi\) | ||||
0.896720 | + | 0.442598i | \(0.145943\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.89677 | + | 12.6916i | −0.121226 | + | 0.531127i | 0.877449 | + | 0.479670i | \(0.159244\pi\) |
−0.998675 | + | 0.0514567i | \(0.983614\pi\) | |||||||
\(572\) | 0.0295566 | − | 0.0142337i | 0.00123582 | − | 0.000595141i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.10154 | + | 1.40343i | −0.129456 | + | 0.0585779i | ||||
\(575\) | −14.1212 | + | 17.7074i | −0.588895 | + | 0.738451i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.5274 | − | 16.9629i | 0.563154 | − | 0.706173i | −0.415983 | − | 0.909372i | \(-0.636563\pi\) |
0.979137 | + | 0.203199i | \(0.0651339\pi\) | |||||||
\(578\) | 9.13865 | − | 4.40094i | 0.380118 | − | 0.183055i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 51.4736 | + | 24.7884i | 2.13732 | + | 1.02928i | ||||
\(581\) | 1.43649 | + | 1.89226i | 0.0595957 | + | 0.0785043i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.328034 | − | 0.157973i | −0.0135858 | − | 0.00654257i | ||||
\(584\) | −1.23143 | − | 5.39524i | −0.0509568 | − | 0.223257i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.6153 | + | 15.8190i | −0.521132 | + | 0.653478i | ||||
\(587\) | 6.07713 | 0.250830 | 0.125415 | − | 0.992104i | \(-0.459974\pi\) | ||||
0.125415 | + | 0.992104i | \(0.459974\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −24.5505 | −1.01159 | ||||||||
\(590\) | 11.0321 | − | 13.8338i | 0.454184 | − | 0.569529i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.44154 | + | 19.4597i | 0.182546 | + | 0.799788i | ||||
\(593\) | 21.0947 | + | 10.1587i | 0.866257 | + | 0.417167i | 0.813586 | − | 0.581445i | \(-0.197512\pi\) |
0.0526709 | + | 0.998612i | \(0.483227\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.31648 | + | 6.34958i | −0.217954 | + | 0.260307i | ||||
\(596\) | −23.7106 | − | 11.4184i | −0.971224 | − | 0.467717i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.424502 | + | 0.204430i | −0.0173592 | + | 0.00835975i | ||||
\(599\) | 1.68654 | − | 2.11485i | 0.0689102 | − | 0.0864106i | −0.746182 | − | 0.665742i | \(-0.768115\pi\) |
0.815092 | + | 0.579332i | \(0.196686\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.0204 | − | 26.3587i | 0.857439 | − | 1.07519i | −0.138951 | − | 0.990299i | \(-0.544373\pi\) |
0.996390 | − | 0.0848950i | \(-0.0270555\pi\) | |||||||
\(602\) | 2.84393 | − | 11.2185i | 0.115910 | − | 0.457232i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.00946 | − | 3.37558i | 0.285211 | − | 0.137350i | ||||
\(605\) | −9.88357 | + | 43.3027i | −0.401824 | + | 1.76051i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 17.5455 | 0.712148 | 0.356074 | − | 0.934458i | \(-0.384115\pi\) | ||||
0.356074 | + | 0.934458i | \(0.384115\pi\) | |||||||
\(608\) | 5.40523 | − | 23.6819i | 0.219211 | − | 0.960427i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.11116 | − | 13.6309i | −0.125967 | − | 0.551898i | ||||
\(611\) | 0.907034 | + | 3.97397i | 0.0366947 | + | 0.160770i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.9667 | + | 17.5137i | 0.564110 | + | 0.707372i | 0.979312 | − | 0.202358i | \(-0.0648603\pi\) |
−0.415201 | + | 0.909730i | \(0.636289\pi\) | |||||||
\(614\) | 0.748298 | + | 3.27851i | 0.0301989 | + | 0.132310i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.287483 | − | 0.130084i | 0.0115830 | − | 0.00524124i | ||||
\(617\) | −1.16088 | + | 5.08614i | −0.0467352 | + | 0.204760i | −0.992905 | − | 0.118910i | \(-0.962060\pi\) |
0.946170 | + | 0.323671i | \(0.104917\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.76208 | 0.191404 | 0.0957020 | − | 0.995410i | \(-0.469490\pi\) | ||||
0.0957020 | + | 0.995410i | \(0.469490\pi\) | |||||||
\(620\) | −8.25649 | + | 36.1741i | −0.331589 | + | 1.45278i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5.28666 | + | 6.62926i | 0.211976 | + | 0.265809i | ||||
\(623\) | 19.3972 | + | 25.5516i | 0.777134 | + | 1.02370i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.3278 | + | 45.2492i | −0.413114 | + | 1.80997i | ||||
\(626\) | −8.49145 | + | 10.6479i | −0.339386 | + | 0.425577i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.64422 | − | 7.07763i | −0.225229 | − | 0.282428i | ||||
\(629\) | −7.52923 | − | 3.62589i | −0.300210 | − | 0.144574i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.6595 | − | 5.61490i | 0.464155 | − | 0.223525i | −0.187165 | − | 0.982329i | \(-0.559930\pi\) |
0.651320 | + | 0.758803i | \(0.274216\pi\) | |||||||
\(632\) | −21.6919 | − | 10.4463i | −0.862857 | − | 0.415530i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.54931 | − | 2.67240i | −0.220391 | − | 0.106135i | ||||
\(635\) | 3.61002 | − | 4.52682i | 0.143259 | − | 0.179641i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.75814 | + | 2.00074i | −0.0696600 | + | 0.0792723i | ||||
\(638\) | 0.288331 | 0.0114151 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −41.4086 | − | 19.9413i | −1.63682 | − | 0.788250i | ||||
\(641\) | 0.803931 | + | 3.52225i | 0.0317534 | + | 0.139121i | 0.988320 | − | 0.152394i | \(-0.0486981\pi\) |
−0.956567 | + | 0.291514i | \(0.905841\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27.2244 | − | 13.1106i | 1.07363 | − | 0.517032i | 0.188353 | − | 0.982101i | \(-0.439685\pi\) |
0.885274 | + | 0.465070i | \(0.153971\pi\) | |||||||
\(644\) | 7.80565 | − | 3.53200i | 0.307586 | − | 0.139180i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.29181 | + | 1.61987i | 0.0508254 | + | 0.0637330i | ||||
\(647\) | 1.40985 | − | 0.678946i | 0.0554268 | − | 0.0266921i | −0.405965 | − | 0.913889i | \(-0.633065\pi\) |
0.461392 | + | 0.887196i | \(0.347350\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.0840152 | + | 0.368094i | −0.00329788 | + | 0.0144490i | ||||
\(650\) | −1.65992 | + | 2.08147i | −0.0651073 | + | 0.0816420i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.69286 | + | 3.37674i | 0.105461 | + | 0.132243i | ||||
\(653\) | 8.46598 | − | 4.07700i | 0.331299 | − | 0.159545i | −0.260838 | − | 0.965383i | \(-0.583999\pi\) |
0.592137 | + | 0.805837i | \(0.298284\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 21.0499 | 0.822489 | ||||||||
\(656\) | −3.85079 | −0.150348 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 3.49183 | + | 17.1793i | 0.136126 | + | 0.669721i | ||||
\(659\) | 5.36045 | + | 23.4857i | 0.208813 | + | 0.914871i | 0.965358 | + | 0.260929i | \(0.0840289\pi\) |
−0.756545 | + | 0.653942i | \(0.773114\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.9239 | + | 27.4917i | 0.852742 | + | 1.06930i | 0.996816 | + | 0.0797377i | \(0.0254083\pi\) |
−0.144074 | + | 0.989567i | \(0.546020\pi\) | |||||||
\(662\) | −7.99502 | − | 10.0254i | −0.310735 | − | 0.389650i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.447063 | − | 1.95871i | −0.0173494 | − | 0.0760127i | ||||
\(665\) | 41.1248 | + | 21.0285i | 1.59475 | + | 0.815449i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 17.5089 | 0.677948 | ||||||||
\(668\) | 24.1497 | 0.934381 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −23.4355 | + | 11.2859i | −0.905393 | + | 0.436014i | ||||
\(671\) | 0.186011 | + | 0.233251i | 0.00718088 | + | 0.00900454i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.23581 | + | 5.31154i | −0.163278 | + | 0.204745i | −0.856739 | − | 0.515749i | \(-0.827514\pi\) |
0.693461 | + | 0.720494i | \(0.256085\pi\) | |||||||
\(674\) | −3.00881 | + | 13.1824i | −0.115895 | + | 0.507769i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −18.7336 | + | 9.02160i | −0.720521 | + | 0.346985i | ||||
\(677\) | −8.78740 | − | 11.0190i | −0.337727 | − | 0.423496i | 0.583747 | − | 0.811935i | \(-0.301586\pi\) |
−0.921474 | + | 0.388439i | \(0.873014\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −26.4381 | − | 0.631301i | −1.01460 | − | 0.0242271i | ||||
\(680\) | 6.30976 | − | 3.03862i | 0.241968 | − | 0.116526i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.0416689 | + | 0.182563i | 0.00159558 | + | 0.00699071i | ||||
\(683\) | −30.7166 | − | 14.7924i | −1.17534 | − | 0.566014i | −0.258789 | − | 0.965934i | \(-0.583324\pi\) |
−0.916550 | + | 0.399920i | \(0.869038\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.5705 | −0.518501 | ||||||||
\(686\) | −7.76458 | + | 8.42176i | −0.296453 | + | 0.321544i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 8.16229 | − | 10.2352i | 0.311185 | − | 0.390213i | ||||
\(689\) | −2.34155 | − | 1.12763i | −0.0892058 | − | 0.0429593i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.9171 | + | 5.25738i | 0.415305 | + | 0.200000i | 0.629855 | − | 0.776713i | \(-0.283114\pi\) |
−0.214550 | + | 0.976713i | \(0.568829\pi\) | |||||||
\(692\) | 5.89670 | − | 2.83970i | 0.224159 | − | 0.107949i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.13050 | + | 2.47072i | 0.194751 | + | 0.0937873i | ||||
\(695\) | 44.1222 | + | 55.3275i | 1.67365 | + | 2.09869i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.00521 | − | 1.26049i | 0.0380750 | − | 0.0477445i | ||||
\(698\) | −4.61006 | + | 20.1980i | −0.174493 | + | 0.764505i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 31.0787 | − | 37.1180i | 1.17466 | − | 1.40293i | ||||
\(701\) | −25.7952 | − | 32.3461i | −0.974270 | − | 1.22170i | −0.975116 | − | 0.221696i | \(-0.928841\pi\) |
0.000845631 | − | 1.00000i | \(-0.499731\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.3716 | + | 45.4411i | −0.391173 | + | 1.71384i | ||||
\(704\) | 0.0120605 | 0.000454547 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.717733 | − | 3.14460i | 0.0270122 | − | 0.118348i | ||||
\(707\) | −16.6402 | − | 8.50869i | −0.625820 | − | 0.320002i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.85073 | − | 12.4899i | −0.107061 | − | 0.469067i | −0.999828 | − | 0.0185474i | \(-0.994096\pi\) |
0.892766 | − | 0.450520i | \(-0.148761\pi\) | |||||||
\(710\) | 16.7792 | + | 21.0404i | 0.629711 | + | 0.789633i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.03678 | − | 26.4489i | −0.226238 | − | 0.991213i | ||||
\(713\) | 2.53035 | + | 11.0862i | 0.0947622 | + | 0.415181i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0182283 | − | 0.0798635i | 0.000681701 | − | 0.00298673i | ||||
\(716\) | −8.01674 | −0.299600 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.24920 | − | 9.85438i | 0.0839393 | − | 0.367762i | ||||
\(719\) | −31.7889 | + | 15.3087i | −1.18552 | + | 0.570918i | −0.919516 | − | 0.393052i | \(-0.871419\pi\) |
−0.266008 | + | 0.963971i | \(0.585705\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 43.5505 | + | 22.2688i | 1.62191 | + | 0.829334i | ||||
\(722\) | −0.122043 | + | 0.153037i | −0.00454197 | + | 0.00569545i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.0169 | − | 16.3227i | 0.483769 | − | 0.606628i | ||||
\(725\) | 89.1366 | − | 42.9259i | 3.31045 | − | 1.59423i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −30.3425 | − | 14.6122i | −1.12534 | − | 0.541935i | −0.223802 | − | 0.974635i | \(-0.571847\pi\) |
−0.901538 | + | 0.432699i | \(0.857561\pi\) | |||||||
\(728\) | 2.05209 | − | 0.928555i | 0.0760554 | − | 0.0344145i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.56683 | − | 2.68084i | −0.206038 | − | 0.0992224i | ||||
\(731\) | 1.21964 | + | 5.34359i | 0.0451100 | + | 0.197640i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −30.3410 | + | 38.0464i | −1.12067 | + | 1.40528i | −0.217466 | + | 0.976068i | \(0.569779\pi\) |
−0.903205 | + | 0.429209i | \(0.858792\pi\) | |||||||
\(734\) | −2.83072 | −0.104484 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.2510 | −0.414718 | ||||||||
\(737\) | 0.346061 | − | 0.433946i | 0.0127473 | − | 0.0159846i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.27327 | − | 18.7224i | −0.157195 | − | 0.688715i | −0.990684 | − | 0.136180i | \(-0.956518\pi\) |
0.833489 | − | 0.552535i | \(-0.186340\pi\) | |||||||
\(740\) | 63.4672 | + | 30.5642i | 2.33310 | + | 1.12356i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.95178 | − | 5.08867i | −0.365341 | − | 0.186811i | ||||
\(743\) | −41.0343 | − | 19.7611i | −1.50540 | − | 0.724963i | −0.514243 | − | 0.857644i | \(-0.671927\pi\) |
−0.991159 | + | 0.132681i | \(0.957641\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −59.2071 | + | 28.5127i | −2.16918 | + | 1.04462i | ||||
\(746\) | 9.46447 | − | 11.8681i | 0.346519 | − | 0.434521i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0416600 | + | 0.0522400i | −0.00152324 | + | 0.00191008i | ||||
\(749\) | 18.2653 | + | 24.0606i | 0.667400 | + | 0.879154i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.5628 | + | 12.3104i | −0.932799 | + | 0.449212i | −0.837623 | − | 0.546248i | \(-0.816056\pi\) |
−0.0951758 | + | 0.995460i | \(0.530341\pi\) | |||||||
\(752\) | −4.41257 | + | 19.3327i | −0.160910 | + | 0.704992i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.05814 | 0.0749529 | ||||||||
\(755\) | 4.32292 | − | 18.9400i | 0.157327 | − | 0.689296i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.68780 | − | 33.6824i | −0.279418 | − | 1.22421i | −0.898532 | − | 0.438908i | \(-0.855365\pi\) |
0.619114 | − | 0.785301i | \(-0.287492\pi\) | |||||||
\(758\) | 0.474485 | + | 2.07886i | 0.0172341 | + | 0.0755075i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −24.3539 | − | 30.5388i | −0.883407 | − | 1.10776i | ||||
\(761\) | −6.67421 | − | 29.2416i | −0.241940 | − | 1.06001i | −0.939249 | − | 0.343238i | \(-0.888476\pi\) |
0.697309 | − | 0.716771i | \(-0.254381\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.47589 | − | 10.1229i | 0.306848 | − | 0.366475i | ||||
\(764\) | 0.556216 | − | 2.43694i | 0.0201232 | − | 0.0881655i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 16.8800 | 0.609898 | ||||||||
\(767\) | −0.599710 | + | 2.62750i | −0.0216543 | + | 0.0948735i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.272327 | + | 0.341488i | 0.00982038 | + | 0.0123144i | 0.786717 | − | 0.617313i | \(-0.211779\pi\) |
−0.776897 | + | 0.629628i | \(0.783207\pi\) | |||||||
\(770\) | 0.0865725 | − | 0.341504i | 0.00311986 | − | 0.0123070i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.39305 | − | 23.6285i | 0.194100 | − | 0.850408i | ||||
\(773\) | 25.7298 | − | 32.2642i | 0.925438 | − | 1.16046i | −0.0612962 | − | 0.998120i | \(-0.519523\pi\) |
0.986734 | − | 0.162343i | \(-0.0519051\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 40.0613 | + | 50.2353i | 1.43905 | + | 1.80451i | ||||
\(776\) | 20.1494 | + | 9.70344i | 0.723321 | + | 0.348333i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.10627 | − | 1.49590i | 0.111365 | − | 0.0536306i | ||||
\(779\) | −8.10162 | − | 3.90154i | −0.290271 | − | 0.139787i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.517380 | − | 0.249157i | −0.0185133 | − | 0.00891554i | ||||
\(782\) | 0.598336 | − | 0.750290i | 0.0213965 | − | 0.0268303i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −11.9292 | + | 5.05835i | −0.426041 | + | 0.180655i | ||||
\(785\) | −22.6051 | −0.806810 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.6071 | + | 5.10813i | 0.378104 | + | 0.182085i | 0.613276 | − | 0.789869i | \(-0.289851\pi\) |
−0.235173 | + | 0.971954i | \(0.575566\pi\) | |||||||
\(788\) | 3.20480 | + | 14.0411i | 0.114166 | + | 0.500194i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −24.2190 | + | 11.6633i | −0.861675 | + | 0.414961i | ||||
\(791\) | 19.1605 | + | 25.2398i | 0.681270 | + | 0.897424i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.32777 | + | 1.66497i | 0.0471505 | + | 0.0591248i | ||||
\(794\) | −1.21382 | + | 0.584543i | −0.0430767 | + | 0.0207447i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −5.05652 | + | 22.1541i | −0.179224 | + | 0.785230i | ||||
\(797\) | −0.111693 | + | 0.140059i | −0.00395637 | + | 0.00496113i | −0.783806 | − | 0.621006i | \(-0.786724\pi\) |
0.779849 | + | 0.625967i | \(0.215296\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.17640 | − | 6.49100i | −0.183128 | − | 0.229635i | ||||
\(800\) | −57.2781 | + | 27.5837i | −2.02509 | + | 0.975230i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.812788 | 0.0287005 | ||||||||
\(803\) | 0.131843 | 0.00465263 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.25713 | − | 20.7379i | 0.185289 | − | 0.730914i | ||||
\(806\) | 0.297437 | + | 1.30316i | 0.0104768 | + | 0.0459018i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 9.85424 | + | 12.3568i | 0.346671 | + | 0.434711i | ||||
\(809\) | −7.48548 | − | 9.38649i | −0.263175 | − | 0.330011i | 0.632633 | − | 0.774452i | \(-0.281974\pi\) |
−0.895809 | + | 0.444440i | \(0.853403\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.12740 | + | 9.32076i | 0.0747032 | + | 0.327296i | 0.998447 | − | 0.0557157i | \(-0.0177440\pi\) |
−0.923744 | + | 0.383012i | \(0.874887\pi\) | |||||||
\(812\) | −37.4143 | − | 0.893394i | −1.31298 | − | 0.0313520i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.355513 | 0.0124607 | ||||||||
\(815\) | 10.7849 | 0.377778 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 27.5426 | − | 13.2638i | 0.963595 | − | 0.464043i | ||||
\(818\) | −5.24024 | − | 6.57105i | −0.183221 | − | 0.229751i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −8.47335 | + | 10.6253i | −0.295902 | + | 0.371050i | ||||
\(821\) | 9.56885 | − | 41.9239i | 0.333955 | − | 1.46315i | −0.477444 | − | 0.878662i | \(-0.658437\pi\) |
0.811400 | − | 0.584492i | \(-0.198706\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.41216 | − | 2.60636i | 0.188656 | − | 0.0908519i | −0.337171 | − | 0.941443i | \(-0.609470\pi\) |
0.525827 | + | 0.850591i | \(0.323756\pi\) | |||||||
\(824\) | −25.7904 | − | 32.3401i | −0.898449 | − | 1.12662i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.84823 | + | 11.2354i | −0.0991024 | + | 0.390931i | ||||
\(827\) | 28.3668 | − | 13.6607i | 0.986410 | − | 0.475030i | 0.130105 | − | 0.991500i | \(-0.458469\pi\) |
0.856305 | + | 0.516470i | \(0.172754\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.58609 | + | 24.4743i | 0.194013 | + | 0.850026i | 0.974416 | + | 0.224750i | \(0.0721565\pi\) |
−0.780404 | + | 0.625276i | \(0.784986\pi\) | |||||||
\(830\) | −2.02100 | − | 0.973264i | −0.0701501 | − | 0.0337825i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.0860893 | 0.00298461 | ||||||||
\(833\) | 1.45822 | − | 5.22525i | 0.0505242 | − | 0.181044i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 37.5987 | − | 47.1473i | 1.30116 | − | 1.63160i | ||||
\(836\) | 0.335765 | + | 0.161696i | 0.0116127 | + | 0.00559236i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 10.6626 | + | 5.13482i | 0.368332 | + | 0.177379i | ||||
\(839\) | −1.82613 | + | 0.879416i | −0.0630449 | + | 0.0303608i | −0.465141 | − | 0.885237i | \(-0.653996\pi\) |
0.402096 | + | 0.915598i | \(0.368282\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −42.7804 | − | 20.6020i | −1.47519 | − | 0.710412i | ||||
\(842\) | −2.30122 | − | 2.88564i | −0.0793052 | − | 0.0994456i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.3866 | − | 16.7862i | 0.460785 | − | 0.577806i | ||||
\(845\) | −11.5535 | + | 50.6191i | −0.397452 | + | 1.74135i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.79542 | − | 28.5127i | −0.199133 | − | 0.979709i | ||||
\(848\) | −7.88298 | − | 9.88494i | −0.270703 | − | 0.339450i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.20663 | − | 5.28659i | 0.0413870 | − | 0.181328i | ||||
\(851\) | 21.5886 | 0.740047 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.58776 | + | 6.95644i | −0.0543640 | + | 0.238184i | −0.994809 | − | 0.101762i | \(-0.967552\pi\) |
0.940445 | + | 0.339947i | \(0.110409\pi\) | |||||||
\(854\) | 5.53785 | + | 7.29491i | 0.189501 | + | 0.249627i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.68451 | − | 24.9055i | −0.194293 | − | 0.851251i | ||||
\(857\) | −22.6118 | − | 28.3544i | −0.772406 | − | 0.968567i | 0.227580 | − | 0.973759i | \(-0.426919\pi\) |
−0.999987 | + | 0.00519271i | \(0.998347\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.00122908 | + | 0.00538497i | 4.19358e−5 | + | 0.000183733i | 0.974949 | − | 0.222429i | \(-0.0713986\pi\) |
−0.974907 | + | 0.222613i | \(0.928541\pi\) | |||||||
\(860\) | −10.2809 | − | 45.0435i | −0.350575 | − | 1.53597i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.824634 | − | 3.61296i | 0.0280871 | − | 0.123058i | ||||
\(863\) | −2.81750 | −0.0959087 | −0.0479543 | − | 0.998850i | \(-0.515270\pi\) | ||||
−0.0479543 | + | 0.998850i | \(0.515270\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.63665 | − | 15.9332i | 0.123650 | − | 0.541745i | ||||
\(866\) | −3.51187 | + | 1.69123i | −0.119338 | + | 0.0574702i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.84135 | − | 23.8188i | −0.164326 | − | 0.808464i | ||||
\(869\) | 0.357631 | − | 0.448455i | 0.0121318 | − | 0.0152128i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.47022 | − | 3.09756i | 0.0837003 | − | 0.104957i | ||||
\(872\) | −10.0595 | + | 4.84438i | −0.340656 | + | 0.164051i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −4.82238 | − | 2.32233i | −0.163119 | − | 0.0785541i | ||||
\(875\) | −13.4363 | − | 66.1048i | −0.454229 | − | 2.23475i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 25.3716 | + | 12.2183i | 0.856738 | + | 0.412583i | 0.810074 | − | 0.586327i | \(-0.199427\pi\) |
0.0466640 | + | 0.998911i | \(0.485141\pi\) | |||||||
\(878\) | 0.439248 | + | 1.92447i | 0.0148239 | + | 0.0649477i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.248470 | − | 0.311571i | 0.00837591 | − | 0.0105031i | ||||
\(881\) | −13.3084 | −0.448373 | −0.224186 | − | 0.974546i | \(-0.571972\pi\) | ||||
−0.224186 | + | 0.974546i | \(0.571972\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −46.3470 | −1.55970 | −0.779850 | − | 0.625966i | \(-0.784705\pi\) | ||||
−0.779850 | + | 0.625966i | \(0.784705\pi\) | |||||||
\(884\) | −0.297374 | + | 0.372895i | −0.0100018 | + | 0.0125418i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.09548 | + | 17.9435i | 0.137591 | + | 0.602823i | ||||
\(887\) | −3.36077 | − | 1.61846i | −0.112844 | − | 0.0543426i | 0.376610 | − | 0.926372i | \(-0.377090\pi\) |
−0.489454 | + | 0.872029i | \(0.662804\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.932022 | + | 3.67656i | −0.0312590 | + | 0.123308i | ||||
\(890\) | −27.2900 | − | 13.1422i | −0.914764 | − | 0.440527i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −23.0060 | + | 11.0791i | −0.770296 | + | 0.370955i | ||||
\(893\) | −28.8711 | + | 36.2032i | −0.966133 | + | 1.21149i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.4813 | + | 15.6510i | −0.417203 | + | 0.523156i | ||||
\(896\) | 30.0984 | + | 0.718702i | 1.00552 | + | 0.0240102i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 16.7538 | − | 8.06819i | 0.559081 | − | 0.269239i | ||||
\(899\) | 11.0531 | − | 48.4268i | 0.368641 | − | 1.61512i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.29345 | 0.176350 | ||||||||
\(902\) | −0.0152621 | + | 0.0668674i | −0.000508171 | + | 0.00222644i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.96311 | − | 26.1261i | −0.198330 | − | 0.868941i | ||||
\(905\) | −11.6006 | − | 50.8256i | −0.385617 | − | 1.68950i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 8.37496 | + | 10.5019i | 0.278086 | + | 0.348709i | 0.901185 | − | 0.433434i | \(-0.142698\pi\) |
−0.623099 | + | 0.782143i | \(0.714127\pi\) | |||||||
\(908\) | 5.74511 | + | 25.1710i | 0.190658 | + | 0.835328i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.617964 | − | 2.43770i | 0.0204853 | − | 0.0808088i | ||||
\(911\) | −12.6197 | + | 55.2907i | −0.418111 | + | 1.83186i | 0.124941 | + | 0.992164i | \(0.460126\pi\) |
−0.543052 | + | 0.839699i | \(0.682731\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.0478647 | 0.00158409 | ||||||||
\(914\) | −4.07774 | + | 17.8658i | −0.134880 | + | 0.590947i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.69043 | − | 10.8974i | −0.287140 | − | 0.360062i | ||||
\(917\) | −12.5629 | + | 5.68461i | −0.414863 | + | 0.187722i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.34213 | + | 19.0241i | −0.143234 | + | 0.627548i | 0.851438 | + | 0.524455i | \(0.175731\pi\) |
−0.994672 | + | 0.103093i | \(0.967126\pi\) | |||||||
\(920\) | −11.2802 | + | 14.1449i | −0.371897 | + | 0.466344i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.89083 | + | 2.37103i | 0.0622713 | + | 0.0780857i | ||||
\(923\) | −3.69312 | − | 1.77851i | −0.121560 | − | 0.0585404i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 109.906 | − | 52.9279i | 3.61368 | − | 1.74026i | ||||
\(926\) | 9.00246 | + | 4.33535i | 0.295839 | + | 0.142469i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 44.2798 | + | 21.3240i | 1.45356 | + | 0.699995i | ||||
\(929\) | −11.3823 | + | 14.2729i | −0.373440 | + | 0.468278i | −0.932668 | − | 0.360735i | \(-0.882526\pi\) |
0.559229 | + | 0.829013i | \(0.311097\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.2226 | − | 1.44416i | −0.990507 | − | 0.0473304i | ||||
\(932\) | −8.87295 | −0.290643 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −21.3126 | − | 10.2636i | −0.697369 | − | 0.335835i | ||||
\(935\) | 0.0371272 | + | 0.162665i | 0.00121419 | + | 0.00531971i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.0554 | − | 7.25031i | 0.491839 | − | 0.236857i | −0.171489 | − | 0.985186i | \(-0.554858\pi\) |
0.663328 | + | 0.748329i | \(0.269143\pi\) | |||||||
\(938\) | 10.9388 | − | 13.0644i | 0.357165 | − | 0.426569i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 43.6341 | + | 54.7155i | 1.42319 | + | 1.78462i | ||||
\(941\) | −24.8825 | + | 11.9828i | −0.811145 | + | 0.390627i | −0.793010 | − | 0.609209i | \(-0.791487\pi\) |
−0.0181350 | + | 0.999836i | \(0.505773\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.926790 | + | 4.06053i | −0.0301804 | + | 0.132229i | ||||
\(944\) | −8.17462 | + | 10.2507i | −0.266061 | + | 0.333630i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.145380 | − | 0.182301i | −0.00472671 | − | 0.00592711i | ||||
\(947\) | 50.1247 | − | 24.1388i | 1.62883 | − | 0.784405i | 0.628858 | − | 0.777520i | \(-0.283523\pi\) |
0.999976 | − | 0.00688524i | \(-0.00219166\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.941109 | 0.0305497 | ||||||||
\(950\) | −30.2439 | −0.981243 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.94516 | + | 3.51746i | −0.0954531 | + | 0.114002i | ||||
\(953\) | −8.39722 | − | 36.7906i | −0.272013 | − | 1.19177i | −0.907633 | − | 0.419764i | \(-0.862113\pi\) |
0.635621 | − | 0.772002i | \(-0.280744\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.89165 | − | 4.87997i | −0.125931 | − | 0.157912i | ||||
\(956\) | 5.33413 | + | 6.68879i | 0.172518 | + | 0.216331i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 4.36848 | + | 19.1396i | 0.141139 | + | 0.618372i | ||||
\(959\) | 8.09904 | − | 3.66476i | 0.261532 | − | 0.118341i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.25990 | 0.0406421 | ||||||||
\(962\) | 2.53769 | 0.0818186 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.978348 | − | 0.471148i | 0.0315105 | − | 0.0151746i | ||||
\(965\) | −37.7333 | − | 47.3160i | −1.21468 | − | 1.52316i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −13.4557 | + | 16.8729i | −0.432705 | + | 0.542595i | −0.949604 | − | 0.313451i | \(-0.898515\pi\) |
0.516899 | + | 0.856046i | \(0.327086\pi\) | |||||||
\(968\) | −5.47518 | + | 23.9883i | −0.175979 | + | 0.771014i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 22.4969 | − | 10.8339i | 0.722331 | − | 0.347856i | ||||
\(971\) | −3.96219 | − | 4.96843i | −0.127153 | − | 0.159444i | 0.714180 | − | 0.699962i | \(-0.246800\pi\) |
−0.841333 | + | 0.540518i | \(0.818228\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −41.2741 | − | 21.1048i | −1.32319 | − | 0.676589i | ||||
\(974\) | −5.13678 | + | 2.47374i | −0.164593 | + | 0.0792639i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.30533 | + | 10.1003i | 0.0737917 | + | 0.323302i | ||||
\(977\) | −5.95871 | − | 2.86956i | −0.190636 | − | 0.0918055i | 0.336131 | − | 0.941815i | \(-0.390882\pi\) |
−0.526767 | + | 0.850010i | \(0.676596\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.646328 | 0.0206567 | ||||||||
\(980\) | −12.2920 | + | 44.0459i | −0.392652 | + | 1.40700i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.75109 | + | 4.70371i | −0.119702 | + | 0.150102i | ||||
\(983\) | −19.0045 | − | 9.15210i | −0.606151 | − | 0.291907i | 0.105523 | − | 0.994417i | \(-0.466348\pi\) |
−0.711674 | + | 0.702510i | \(0.752063\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 32.4019 | + | 15.6039i | 1.03241 | + | 0.497183i | ||||
\(986\) | −3.77685 | + | 1.81883i | −0.120279 | + | 0.0579235i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.39673 | + | 1.15420i | 0.0762500 | + | 0.0367201i | ||||
\(989\) | −8.82822 | − | 11.0702i | −0.280721 | − | 0.352013i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.0140925 | − | 0.0176715i | 0.000447664 | − | 0.000561353i | −0.781608 | − | 0.623770i | \(-0.785600\pi\) |
0.782055 | + | 0.623209i | \(0.214171\pi\) | |||||||
\(992\) | −7.10259 | + | 31.1185i | −0.225507 | + | 0.988013i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −15.6961 | − | 8.02592i | −0.497849 | − | 0.254567i | ||||
\(995\) | 35.3787 | + | 44.3635i | 1.12158 | + | 1.40642i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 13.5212 | − | 59.2405i | 0.428222 | − | 1.87616i | −0.0513814 | − | 0.998679i | \(-0.516362\pi\) |
0.479604 | − | 0.877485i | \(-0.340780\pi\) | |||||||
\(998\) | −11.5774 | −0.366478 | ||||||||
\(999\) | 0 | 0 |
(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 | 441.2.u.d.190.4 | 36 | ||
3.2 | odd | 2 | 147.2.i.b.43.3 | ✓ | 36 | ||
49.8 | even | 7 | inner | 441.2.u.d.253.4 | 36 | ||
147.8 | odd | 14 | 147.2.i.b.106.3 | yes | 36 | ||
147.20 | even | 14 | 7203.2.a.g.1.7 | 18 | |||
147.29 | odd | 14 | 7203.2.a.h.1.7 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.i.b.43.3 | ✓ | 36 | 3.2 | odd | 2 | ||
147.2.i.b.106.3 | yes | 36 | 147.8 | odd | 14 | ||
441.2.u.d.190.4 | 36 | 1.1 | even | 1 | trivial | ||
441.2.u.d.253.4 | 36 | 49.8 | even | 7 | inner | ||
7203.2.a.g.1.7 | 18 | 147.20 | even | 14 | |||
7203.2.a.h.1.7 | 18 | 147.29 | odd | 14 |