Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(94,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.94");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.f (of order \(3\), degree \(2\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 94.16 | ||
Character | \(\chi\) | \(=\) | 403.94 |
Dual form | 403.2.f.c.373.16 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06256 | + | 1.84040i | 0.751342 | + | 1.30136i | 0.947173 | + | 0.320724i | \(0.103926\pi\) |
−0.195831 | + | 0.980638i | \(0.562740\pi\) | |||||||
\(3\) | 0.793339 | + | 1.37410i | 0.458034 | + | 0.793339i | 0.998857 | − | 0.0477979i | \(-0.0152204\pi\) |
−0.540823 | + | 0.841137i | \(0.681887\pi\) | |||||||
\(4\) | −1.25806 | + | 2.17902i | −0.629029 | + | 1.08951i | ||||
\(5\) | −1.24766 | −0.557971 | −0.278986 | − | 0.960295i | \(-0.589998\pi\) | ||||
−0.278986 | + | 0.960295i | \(0.589998\pi\) | |||||||
\(6\) | −1.68594 | + | 2.92013i | −0.688281 | + | 1.19214i | ||||
\(7\) | −1.62133 | + | 2.80822i | −0.612805 | + | 1.06141i | 0.377960 | + | 0.925822i | \(0.376626\pi\) |
−0.990765 | + | 0.135587i | \(0.956708\pi\) | |||||||
\(8\) | −1.09681 | −0.387779 | ||||||||
\(9\) | 0.241228 | − | 0.417818i | 0.0804092 | − | 0.139273i | ||||
\(10\) | −1.32571 | − | 2.29620i | −0.419227 | − | 0.726123i | ||||
\(11\) | 1.35817 | + | 2.35242i | 0.409504 | + | 0.709282i | 0.994834 | − | 0.101513i | \(-0.0323683\pi\) |
−0.585330 | + | 0.810795i | \(0.699035\pi\) | |||||||
\(12\) | −3.99226 | −1.15247 | ||||||||
\(13\) | −0.214302 | − | 3.59918i | −0.0594368 | − | 0.998232i | ||||
\(14\) | −6.89102 | −1.84170 | ||||||||
\(15\) | −0.989819 | − | 1.71442i | −0.255570 | − | 0.442660i | ||||
\(16\) | 1.35070 | + | 2.33947i | 0.337674 | + | 0.584869i | ||||
\(17\) | −0.450587 | + | 0.780439i | −0.109283 | + | 0.189284i | −0.915480 | − | 0.402363i | \(-0.868189\pi\) |
0.806197 | + | 0.591647i | \(0.201522\pi\) | |||||||
\(18\) | 1.02527 | 0.241659 | ||||||||
\(19\) | 1.39693 | − | 2.41956i | 0.320478 | − | 0.555085i | −0.660108 | − | 0.751170i | \(-0.729490\pi\) |
0.980587 | + | 0.196085i | \(0.0628230\pi\) | |||||||
\(20\) | 1.56963 | − | 2.71868i | 0.350980 | − | 0.607916i | ||||
\(21\) | −5.14505 | −1.12274 | ||||||||
\(22\) | −2.88627 | + | 4.99917i | −0.615356 | + | 1.06583i | ||||
\(23\) | −3.13581 | − | 5.43138i | −0.653862 | − | 1.13252i | −0.982178 | − | 0.187954i | \(-0.939815\pi\) |
0.328316 | − | 0.944568i | \(-0.393519\pi\) | |||||||
\(24\) | −0.870138 | − | 1.50712i | −0.177616 | − | 0.307640i | ||||
\(25\) | −3.44334 | −0.688668 | ||||||||
\(26\) | 6.39623 | − | 4.21874i | 1.25440 | − | 0.827362i | ||||
\(27\) | 5.52553 | 1.06339 | ||||||||
\(28\) | −4.07945 | − | 7.06582i | −0.770944 | − | 1.33531i | ||||
\(29\) | 2.78531 | + | 4.82431i | 0.517220 | + | 0.895851i | 0.999800 | + | 0.0199993i | \(0.00636640\pi\) |
−0.482580 | + | 0.875852i | \(0.660300\pi\) | |||||||
\(30\) | 2.10348 | − | 3.64333i | 0.384041 | − | 0.665178i | ||||
\(31\) | 1.00000 | 0.179605 | ||||||||
\(32\) | −3.96719 | + | 6.87138i | −0.701307 | + | 1.21470i | ||||
\(33\) | −2.15498 | + | 3.73254i | −0.375134 | + | 0.649751i | ||||
\(34\) | −1.91510 | −0.328436 | ||||||||
\(35\) | 2.02287 | − | 3.50372i | 0.341928 | − | 0.592236i | ||||
\(36\) | 0.606956 | + | 1.05128i | 0.101159 | + | 0.175213i | ||||
\(37\) | 6.01222 | + | 10.4135i | 0.988403 | + | 1.71196i | 0.625709 | + | 0.780057i | \(0.284810\pi\) |
0.362694 | + | 0.931908i | \(0.381857\pi\) | |||||||
\(38\) | 5.93729 | 0.963155 | ||||||||
\(39\) | 4.77562 | − | 3.14984i | 0.764712 | − | 0.504378i | ||||
\(40\) | 1.36844 | 0.216370 | ||||||||
\(41\) | 0.0645330 | + | 0.111775i | 0.0100784 | + | 0.0174562i | 0.871021 | − | 0.491246i | \(-0.163459\pi\) |
−0.860942 | + | 0.508703i | \(0.830125\pi\) | |||||||
\(42\) | −5.46692 | − | 9.46898i | −0.843563 | − | 1.46109i | ||||
\(43\) | 3.65482 | − | 6.33033i | 0.557355 | − | 0.965367i | −0.440361 | − | 0.897821i | \(-0.645150\pi\) |
0.997716 | − | 0.0675463i | \(-0.0215170\pi\) | |||||||
\(44\) | −6.83464 | −1.03036 | ||||||||
\(45\) | −0.300970 | + | 0.521296i | −0.0448660 | + | 0.0777102i | ||||
\(46\) | 6.66396 | − | 11.5423i | 0.982547 | − | 1.70182i | ||||
\(47\) | 12.7885 | 1.86540 | 0.932700 | − | 0.360654i | \(-0.117446\pi\) | ||||
0.932700 | + | 0.360654i | \(0.117446\pi\) | |||||||
\(48\) | −2.14312 | + | 3.71199i | −0.309333 | + | 0.535780i | ||||
\(49\) | −1.75742 | − | 3.04394i | −0.251060 | − | 0.434848i | ||||
\(50\) | −3.65875 | − | 6.33714i | −0.517425 | − | 0.896206i | ||||
\(51\) | −1.42987 | −0.200222 | ||||||||
\(52\) | 8.11228 | + | 4.06100i | 1.12497 | + | 0.563160i | ||||
\(53\) | −6.98426 | −0.959362 | −0.479681 | − | 0.877443i | \(-0.659248\pi\) | ||||
−0.479681 | + | 0.877443i | \(0.659248\pi\) | |||||||
\(54\) | 5.87120 | + | 10.1692i | 0.798969 | + | 1.38385i | ||||
\(55\) | −1.69454 | − | 2.93503i | −0.228492 | − | 0.395759i | ||||
\(56\) | 1.77828 | − | 3.08008i | 0.237633 | − | 0.411593i | ||||
\(57\) | 4.43296 | 0.587160 | ||||||||
\(58\) | −5.91911 | + | 10.2522i | −0.777218 | + | 1.34618i | ||||
\(59\) | 1.68337 | − | 2.91569i | 0.219157 | − | 0.379590i | −0.735394 | − | 0.677640i | \(-0.763003\pi\) |
0.954550 | + | 0.298050i | \(0.0963361\pi\) | |||||||
\(60\) | 4.98100 | 0.643044 | ||||||||
\(61\) | 1.96570 | − | 3.40469i | 0.251682 | − | 0.435926i | −0.712307 | − | 0.701868i | \(-0.752350\pi\) |
0.963989 | + | 0.265942i | \(0.0856830\pi\) | |||||||
\(62\) | 1.06256 | + | 1.84040i | 0.134945 | + | 0.233732i | ||||
\(63\) | 0.782218 | + | 1.35484i | 0.0985503 | + | 0.170694i | ||||
\(64\) | −11.4587 | −1.43234 | ||||||||
\(65\) | 0.267377 | + | 4.49056i | 0.0331640 | + | 0.556985i | ||||
\(66\) | −9.15917 | −1.12742 | ||||||||
\(67\) | −7.66166 | − | 13.2704i | −0.936021 | − | 1.62124i | −0.772803 | − | 0.634646i | \(-0.781146\pi\) |
−0.163218 | − | 0.986590i | \(-0.552188\pi\) | |||||||
\(68\) | −1.13373 | − | 1.96367i | −0.137485 | − | 0.238131i | ||||
\(69\) | 4.97552 | − | 8.61785i | 0.598982 | − | 1.03747i | ||||
\(70\) | 8.59767 | 1.02762 | ||||||||
\(71\) | −2.57790 | + | 4.46506i | −0.305941 | + | 0.529905i | −0.977470 | − | 0.211073i | \(-0.932304\pi\) |
0.671530 | + | 0.740978i | \(0.265638\pi\) | |||||||
\(72\) | −0.264580 | + | 0.458265i | −0.0311810 | + | 0.0540071i | ||||
\(73\) | 4.79465 | 0.561172 | 0.280586 | − | 0.959829i | \(-0.409471\pi\) | ||||
0.280586 | + | 0.959829i | \(0.409471\pi\) | |||||||
\(74\) | −12.7767 | + | 22.1298i | −1.48526 | + | 2.57254i | ||||
\(75\) | −2.73173 | − | 4.73150i | −0.315433 | − | 0.546347i | ||||
\(76\) | 3.51485 | + | 6.08789i | 0.403180 | + | 0.698329i | ||||
\(77\) | −8.80818 | −1.00379 | ||||||||
\(78\) | 10.8714 | + | 5.44219i | 1.23094 | + | 0.616207i | ||||
\(79\) | −8.45202 | −0.950927 | −0.475463 | − | 0.879736i | \(-0.657720\pi\) | ||||
−0.475463 | + | 0.879736i | \(0.657720\pi\) | |||||||
\(80\) | −1.68521 | − | 2.91887i | −0.188413 | − | 0.326340i | ||||
\(81\) | 3.65994 | + | 6.33920i | 0.406660 | + | 0.704355i | ||||
\(82\) | −0.137140 | + | 0.237534i | −0.0151446 | + | 0.0262312i | ||||
\(83\) | 13.8984 | 1.52555 | 0.762776 | − | 0.646663i | \(-0.223836\pi\) | ||||
0.762776 | + | 0.646663i | \(0.223836\pi\) | |||||||
\(84\) | 6.47277 | − | 11.2112i | 0.706238 | − | 1.22324i | ||||
\(85\) | 0.562180 | − | 0.973724i | 0.0609770 | − | 0.105615i | ||||
\(86\) | 15.5338 | 1.67506 | ||||||||
\(87\) | −4.41940 | + | 7.65462i | −0.473809 | + | 0.820661i | ||||
\(88\) | −1.48965 | − | 2.58015i | −0.158797 | − | 0.275045i | ||||
\(89\) | −5.17578 | − | 8.96472i | −0.548632 | − | 0.950258i | −0.998369 | − | 0.0570971i | \(-0.981816\pi\) |
0.449737 | − | 0.893161i | \(-0.351518\pi\) | |||||||
\(90\) | −1.27919 | −0.134839 | ||||||||
\(91\) | 10.4548 | + | 5.23364i | 1.09596 | + | 0.548635i | ||||
\(92\) | 15.7801 | 1.64519 | ||||||||
\(93\) | 0.793339 | + | 1.37410i | 0.0822654 | + | 0.142488i | ||||
\(94\) | 13.5886 | + | 23.5361i | 1.40155 | + | 2.42756i | ||||
\(95\) | −1.74290 | + | 3.01879i | −0.178818 | + | 0.309722i | ||||
\(96\) | −12.5893 | −1.28489 | ||||||||
\(97\) | −2.76400 | + | 4.78739i | −0.280642 | + | 0.486086i | −0.971543 | − | 0.236863i | \(-0.923881\pi\) |
0.690901 | + | 0.722949i | \(0.257214\pi\) | |||||||
\(98\) | 3.73472 | − | 6.46872i | 0.377263 | − | 0.653439i | ||||
\(99\) | 1.31051 | 0.131712 | ||||||||
\(100\) | 4.33192 | − | 7.50311i | 0.433192 | − | 0.750311i | ||||
\(101\) | 0.278393 | + | 0.482190i | 0.0277011 | + | 0.0479797i | 0.879544 | − | 0.475818i | \(-0.157848\pi\) |
−0.851843 | + | 0.523798i | \(0.824515\pi\) | |||||||
\(102\) | −1.51932 | − | 2.63154i | −0.150435 | − | 0.260561i | ||||
\(103\) | −4.27121 | −0.420855 | −0.210428 | − | 0.977609i | \(-0.567486\pi\) | ||||
−0.210428 | + | 0.977609i | \(0.567486\pi\) | |||||||
\(104\) | 0.235048 | + | 3.94760i | 0.0230484 | + | 0.387094i | ||||
\(105\) | 6.41929 | 0.626458 | ||||||||
\(106\) | −7.42118 | − | 12.8539i | −0.720809 | − | 1.24848i | ||||
\(107\) | −4.46116 | − | 7.72695i | −0.431276 | − | 0.746992i | 0.565707 | − | 0.824606i | \(-0.308603\pi\) |
−0.996984 | + | 0.0776138i | \(0.975270\pi\) | |||||||
\(108\) | −6.95144 | + | 12.0402i | −0.668903 | + | 1.15857i | ||||
\(109\) | −13.8573 | −1.32729 | −0.663645 | − | 0.748048i | \(-0.730991\pi\) | ||||
−0.663645 | + | 0.748048i | \(0.730991\pi\) | |||||||
\(110\) | 3.60109 | − | 6.23728i | 0.343351 | − | 0.594701i | ||||
\(111\) | −9.53946 | + | 16.5228i | −0.905445 | + | 1.56828i | ||||
\(112\) | −8.75970 | −0.827713 | ||||||||
\(113\) | 2.72590 | − | 4.72140i | 0.256431 | − | 0.444152i | −0.708852 | − | 0.705357i | \(-0.750787\pi\) |
0.965283 | + | 0.261205i | \(0.0841199\pi\) | |||||||
\(114\) | 4.71028 | + | 8.15844i | 0.441158 | + | 0.764108i | ||||
\(115\) | 3.91243 | + | 6.77653i | 0.364836 | + | 0.631915i | ||||
\(116\) | −14.0163 | −1.30139 | ||||||||
\(117\) | −1.55550 | − | 0.778681i | −0.143806 | − | 0.0719891i | ||||
\(118\) | 7.15473 | 0.658646 | ||||||||
\(119\) | −1.46110 | − | 2.53070i | −0.133939 | − | 0.231989i | ||||
\(120\) | 1.08564 | + | 1.88038i | 0.0991048 | + | 0.171655i | ||||
\(121\) | 1.81074 | − | 3.13629i | 0.164612 | − | 0.285117i | ||||
\(122\) | 8.35467 | 0.756396 | ||||||||
\(123\) | −0.102393 | + | 0.177350i | −0.00923248 | + | 0.0159911i | ||||
\(124\) | −1.25806 | + | 2.17902i | −0.112977 | + | 0.195682i | ||||
\(125\) | 10.5344 | 0.942228 | ||||||||
\(126\) | −1.66230 | + | 2.87920i | −0.148090 | + | 0.256499i | ||||
\(127\) | −5.02437 | − | 8.70246i | −0.445841 | − | 0.772219i | 0.552270 | − | 0.833666i | \(-0.313762\pi\) |
−0.998110 | + | 0.0614468i | \(0.980429\pi\) | |||||||
\(128\) | −4.24114 | − | 7.34587i | −0.374867 | − | 0.649290i | ||||
\(129\) | 11.5980 | 1.02115 | ||||||||
\(130\) | −7.98034 | + | 5.26356i | −0.699922 | + | 0.461645i | ||||
\(131\) | 2.31730 | 0.202463 | 0.101232 | − | 0.994863i | \(-0.467722\pi\) | ||||
0.101232 | + | 0.994863i | \(0.467722\pi\) | |||||||
\(132\) | −5.42218 | − | 9.39150i | −0.471940 | − | 0.817425i | ||||
\(133\) | 4.52978 | + | 7.84580i | 0.392781 | + | 0.680317i | ||||
\(134\) | 16.2819 | − | 28.2011i | 1.40654 | − | 2.43621i | ||||
\(135\) | −6.89400 | −0.593341 | ||||||||
\(136\) | 0.494206 | − | 0.855990i | 0.0423778 | − | 0.0734005i | ||||
\(137\) | 7.15132 | − | 12.3865i | 0.610979 | − | 1.05825i | −0.380097 | − | 0.924947i | \(-0.624109\pi\) |
0.991076 | − | 0.133300i | \(-0.0425572\pi\) | |||||||
\(138\) | 21.1471 | 1.80016 | ||||||||
\(139\) | −1.39462 | + | 2.41555i | −0.118290 | + | 0.204884i | −0.919090 | − | 0.394047i | \(-0.871075\pi\) |
0.800800 | + | 0.598932i | \(0.204408\pi\) | |||||||
\(140\) | 5.08978 | + | 8.81575i | 0.430165 | + | 0.745067i | ||||
\(141\) | 10.1456 | + | 17.5728i | 0.854417 | + | 1.47989i | ||||
\(142\) | −10.9567 | −0.919464 | ||||||||
\(143\) | 8.17573 | − | 5.39243i | 0.683689 | − | 0.450938i | ||||
\(144\) | 1.30330 | 0.108608 | ||||||||
\(145\) | −3.47513 | − | 6.01910i | −0.288594 | − | 0.499859i | ||||
\(146\) | 5.09460 | + | 8.82410i | 0.421632 | + | 0.730288i | ||||
\(147\) | 2.78845 | − | 4.82975i | 0.229988 | − | 0.398351i | ||||
\(148\) | −30.2549 | −2.48694 | ||||||||
\(149\) | −2.92119 | + | 5.05964i | −0.239313 | + | 0.414502i | −0.960517 | − | 0.278220i | \(-0.910256\pi\) |
0.721204 | + | 0.692722i | \(0.243589\pi\) | |||||||
\(150\) | 5.80525 | − | 10.0550i | 0.473997 | − | 0.820986i | ||||
\(151\) | −19.6799 | −1.60153 | −0.800763 | − | 0.598981i | \(-0.795572\pi\) | ||||
−0.800763 | + | 0.598981i | \(0.795572\pi\) | |||||||
\(152\) | −1.53216 | + | 2.65379i | −0.124275 | + | 0.215250i | ||||
\(153\) | 0.217388 | + | 0.376527i | 0.0175748 | + | 0.0304404i | ||||
\(154\) | −9.35920 | − | 16.2106i | −0.754186 | − | 1.30629i | ||||
\(155\) | −1.24766 | −0.100215 | ||||||||
\(156\) | 0.855552 | + | 14.3689i | 0.0684990 | + | 1.15043i | ||||
\(157\) | −11.3121 | −0.902803 | −0.451402 | − | 0.892321i | \(-0.649076\pi\) | ||||
−0.451402 | + | 0.892321i | \(0.649076\pi\) | |||||||
\(158\) | −8.98076 | − | 15.5551i | −0.714471 | − | 1.23750i | ||||
\(159\) | −5.54088 | − | 9.59709i | −0.439421 | − | 0.761099i | ||||
\(160\) | 4.94971 | − | 8.57316i | 0.391309 | − | 0.677768i | ||||
\(161\) | 20.3367 | 1.60276 | ||||||||
\(162\) | −7.77779 | + | 13.4715i | −0.611081 | + | 1.05842i | ||||
\(163\) | 4.39296 | − | 7.60882i | 0.344083 | − | 0.595969i | −0.641104 | − | 0.767454i | \(-0.721523\pi\) |
0.985187 | + | 0.171485i | \(0.0548566\pi\) | |||||||
\(164\) | −0.324745 | −0.0253583 | ||||||||
\(165\) | 2.68869 | − | 4.65695i | 0.209314 | − | 0.362543i | ||||
\(166\) | 14.7679 | + | 25.5787i | 1.14621 | + | 1.98530i | ||||
\(167\) | 4.14100 | + | 7.17242i | 0.320440 | + | 0.555019i | 0.980579 | − | 0.196125i | \(-0.0628359\pi\) |
−0.660139 | + | 0.751144i | \(0.729503\pi\) | |||||||
\(168\) | 5.64312 | 0.435376 | ||||||||
\(169\) | −12.9081 | + | 1.54262i | −0.992935 | + | 0.118663i | ||||
\(170\) | 2.38939 | 0.183258 | ||||||||
\(171\) | −0.673957 | − | 1.16733i | −0.0515388 | − | 0.0892678i | ||||
\(172\) | 9.19595 | + | 15.9279i | 0.701185 | + | 1.21449i | ||||
\(173\) | 4.31285 | − | 7.47008i | 0.327900 | − | 0.567940i | −0.654195 | − | 0.756326i | \(-0.726992\pi\) |
0.982095 | + | 0.188386i | \(0.0603257\pi\) | |||||||
\(174\) | −18.7835 | −1.42397 | ||||||||
\(175\) | 5.58279 | − | 9.66967i | 0.422019 | − | 0.730958i | ||||
\(176\) | −3.66896 | + | 6.35482i | −0.276558 | + | 0.479013i | ||||
\(177\) | 5.34194 | 0.401525 | ||||||||
\(178\) | 10.9991 | − | 19.0511i | 0.824420 | − | 1.42794i | ||||
\(179\) | 9.54222 | + | 16.5276i | 0.713219 | + | 1.23533i | 0.963643 | + | 0.267195i | \(0.0860968\pi\) |
−0.250424 | + | 0.968136i | \(0.580570\pi\) | |||||||
\(180\) | −0.757276 | − | 1.31164i | −0.0564441 | − | 0.0977640i | ||||
\(181\) | −21.7233 | −1.61468 | −0.807339 | − | 0.590088i | \(-0.799093\pi\) | ||||
−0.807339 | + | 0.590088i | \(0.799093\pi\) | |||||||
\(182\) | 1.47676 | + | 24.8020i | 0.109465 | + | 1.83845i | ||||
\(183\) | 6.23786 | 0.461116 | ||||||||
\(184\) | 3.43937 | + | 5.95717i | 0.253554 | + | 0.439168i | ||||
\(185\) | −7.50122 | − | 12.9925i | −0.551501 | − | 0.955227i | ||||
\(186\) | −1.68594 | + | 2.92013i | −0.123619 | + | 0.214114i | ||||
\(187\) | −2.44790 | −0.179008 | ||||||||
\(188\) | −16.0887 | + | 27.8665i | −1.17339 | + | 2.03237i | ||||
\(189\) | −8.95871 | + | 15.5169i | −0.651650 | + | 1.12869i | ||||
\(190\) | −7.40773 | −0.537413 | ||||||||
\(191\) | 7.18551 | − | 12.4457i | 0.519925 | − | 0.900537i | −0.479807 | − | 0.877374i | \(-0.659293\pi\) |
0.999732 | − | 0.0231625i | \(-0.00737352\pi\) | |||||||
\(192\) | −9.09063 | − | 15.7454i | −0.656059 | − | 1.13633i | ||||
\(193\) | −3.44353 | − | 5.96436i | −0.247870 | − | 0.429324i | 0.715064 | − | 0.699059i | \(-0.246397\pi\) |
−0.962935 | + | 0.269734i | \(0.913064\pi\) | |||||||
\(194\) | −11.7476 | −0.843431 | ||||||||
\(195\) | −5.95837 | + | 3.92994i | −0.426687 | + | 0.281429i | ||||
\(196\) | 8.84373 | 0.631695 | ||||||||
\(197\) | 1.61598 | + | 2.79896i | 0.115134 | + | 0.199418i | 0.917833 | − | 0.396966i | \(-0.129937\pi\) |
−0.802699 | + | 0.596384i | \(0.796604\pi\) | |||||||
\(198\) | 1.39250 | + | 2.41188i | 0.0989605 | + | 0.171405i | ||||
\(199\) | 0.470684 | − | 0.815248i | 0.0333659 | − | 0.0577914i | −0.848860 | − | 0.528617i | \(-0.822711\pi\) |
0.882226 | + | 0.470826i | \(0.156044\pi\) | |||||||
\(200\) | 3.77667 | 0.267051 | ||||||||
\(201\) | 12.1566 | − | 21.0558i | 0.857460 | − | 1.48516i | ||||
\(202\) | −0.591616 | + | 1.02471i | −0.0416260 | + | 0.0720983i | ||||
\(203\) | −18.0636 | −1.26782 | ||||||||
\(204\) | 1.79886 | − | 3.11572i | 0.125945 | − | 0.218144i | ||||
\(205\) | −0.0805154 | − | 0.139457i | −0.00562344 | − | 0.00974009i | ||||
\(206\) | −4.53841 | − | 7.86076i | −0.316206 | − | 0.547685i | ||||
\(207\) | −3.02577 | −0.210306 | ||||||||
\(208\) | 8.13073 | − | 5.36275i | 0.563764 | − | 0.371840i | ||||
\(209\) | 7.58910 | 0.524949 | ||||||||
\(210\) | 6.82086 | + | 11.8141i | 0.470684 | + | 0.815249i | ||||
\(211\) | −5.70230 | − | 9.87666i | −0.392562 | − | 0.679938i | 0.600225 | − | 0.799832i | \(-0.295078\pi\) |
−0.992787 | + | 0.119894i | \(0.961745\pi\) | |||||||
\(212\) | 8.78660 | − | 15.2188i | 0.603466 | − | 1.04523i | ||||
\(213\) | −8.18059 | −0.560525 | ||||||||
\(214\) | 9.48047 | − | 16.4207i | 0.648072 | − | 1.12249i | ||||
\(215\) | −4.55998 | + | 7.89812i | −0.310988 | + | 0.538647i | ||||
\(216\) | −6.06044 | −0.412360 | ||||||||
\(217\) | −1.62133 | + | 2.80822i | −0.110063 | + | 0.190635i | ||||
\(218\) | −14.7242 | − | 25.5031i | −0.997248 | − | 1.72729i | ||||
\(219\) | 3.80379 | + | 6.58835i | 0.257036 | + | 0.445199i | ||||
\(220\) | 8.52732 | 0.574912 | ||||||||
\(221\) | 2.90550 | + | 1.45449i | 0.195445 | + | 0.0978397i | ||||
\(222\) | −40.5449 | −2.72120 | ||||||||
\(223\) | 3.47656 | + | 6.02158i | 0.232808 | + | 0.403235i | 0.958633 | − | 0.284644i | \(-0.0918754\pi\) |
−0.725826 | + | 0.687879i | \(0.758542\pi\) | |||||||
\(224\) | −12.8642 | − | 22.2815i | −0.859529 | − | 1.48875i | ||||
\(225\) | −0.830628 | + | 1.43869i | −0.0553752 | + | 0.0959127i | ||||
\(226\) | 11.5857 | 0.770671 | ||||||||
\(227\) | 9.73492 | − | 16.8614i | 0.646129 | − | 1.11913i | −0.337910 | − | 0.941178i | \(-0.609720\pi\) |
0.984039 | − | 0.177950i | \(-0.0569466\pi\) | |||||||
\(228\) | −5.57693 | + | 9.65952i | −0.369341 | + | 0.639717i | ||||
\(229\) | −6.77938 | −0.447994 | −0.223997 | − | 0.974590i | \(-0.571911\pi\) | ||||
−0.223997 | + | 0.974590i | \(0.571911\pi\) | |||||||
\(230\) | −8.31437 | + | 14.4009i | −0.548233 | + | 0.949568i | ||||
\(231\) | −6.98787 | − | 12.1033i | −0.459768 | − | 0.796342i | ||||
\(232\) | −3.05495 | − | 5.29133i | −0.200567 | − | 0.347393i | ||||
\(233\) | 14.6813 | 0.961802 | 0.480901 | − | 0.876775i | \(-0.340310\pi\) | ||||
0.480901 | + | 0.876775i | \(0.340310\pi\) | |||||||
\(234\) | −0.219718 | − | 3.69014i | −0.0143634 | − | 0.241232i | ||||
\(235\) | −15.9558 | −1.04084 | ||||||||
\(236\) | 4.23556 | + | 7.33621i | 0.275712 | + | 0.477547i | ||||
\(237\) | −6.70532 | − | 11.6139i | −0.435557 | − | 0.754407i | ||||
\(238\) | 3.10500 | − | 5.37802i | 0.201267 | − | 0.348606i | ||||
\(239\) | 2.84201 | 0.183834 | 0.0919171 | − | 0.995767i | \(-0.470701\pi\) | ||||
0.0919171 | + | 0.995767i | \(0.470701\pi\) | |||||||
\(240\) | 2.67389 | − | 4.63131i | 0.172599 | − | 0.298950i | ||||
\(241\) | −14.4586 | + | 25.0431i | −0.931361 | + | 1.61316i | −0.150364 | + | 0.988631i | \(0.548044\pi\) |
−0.780998 | + | 0.624534i | \(0.785289\pi\) | |||||||
\(242\) | 7.69604 | 0.494720 | ||||||||
\(243\) | 2.48116 | − | 4.29750i | 0.159167 | − | 0.275685i | ||||
\(244\) | 4.94592 | + | 8.56659i | 0.316630 | + | 0.548420i | ||||
\(245\) | 2.19266 | + | 3.79780i | 0.140084 | + | 0.242633i | ||||
\(246\) | −0.435194 | −0.0277470 | ||||||||
\(247\) | −9.00779 | − | 4.50929i | −0.573152 | − | 0.286919i | ||||
\(248\) | −1.09681 | −0.0696472 | ||||||||
\(249\) | 11.0262 | + | 19.0979i | 0.698755 | + | 1.21028i | ||||
\(250\) | 11.1934 | + | 19.3876i | 0.707936 | + | 1.22618i | ||||
\(251\) | −11.1975 | + | 19.3946i | −0.706780 | + | 1.22418i | 0.259266 | + | 0.965806i | \(0.416519\pi\) |
−0.966045 | + | 0.258372i | \(0.916814\pi\) | |||||||
\(252\) | −3.93630 | −0.247964 | ||||||||
\(253\) | 8.51794 | − | 14.7535i | 0.535518 | − | 0.927545i | ||||
\(254\) | 10.6774 | − | 18.4937i | 0.669957 | − | 1.16040i | ||||
\(255\) | 1.78400 | 0.111718 | ||||||||
\(256\) | −2.44578 | + | 4.23621i | −0.152861 | + | 0.264763i | ||||
\(257\) | −10.3777 | − | 17.9748i | −0.647346 | − | 1.12124i | −0.983754 | − | 0.179520i | \(-0.942546\pi\) |
0.336408 | − | 0.941716i | \(-0.390788\pi\) | |||||||
\(258\) | 12.3236 | + | 21.3451i | 0.767233 | + | 1.32889i | ||||
\(259\) | −38.9912 | −2.42279 | ||||||||
\(260\) | −10.1214 | − | 5.06676i | −0.627702 | − | 0.314227i | ||||
\(261\) | 2.68758 | 0.166357 | ||||||||
\(262\) | 2.46226 | + | 4.26476i | 0.152119 | + | 0.263478i | ||||
\(263\) | −1.88224 | − | 3.26014i | −0.116064 | − | 0.201029i | 0.802141 | − | 0.597135i | \(-0.203694\pi\) |
−0.918205 | + | 0.396107i | \(0.870361\pi\) | |||||||
\(264\) | 2.36360 | − | 4.09387i | 0.145469 | − | 0.251960i | ||||
\(265\) | 8.71400 | 0.535296 | ||||||||
\(266\) | −9.62630 | + | 16.6732i | −0.590226 | + | 1.02230i | ||||
\(267\) | 8.21230 | − | 14.2241i | 0.502584 | − | 0.870502i | ||||
\(268\) | 38.5553 | 2.35514 | ||||||||
\(269\) | −5.32415 | + | 9.22171i | −0.324619 | + | 0.562257i | −0.981435 | − | 0.191794i | \(-0.938570\pi\) |
0.656816 | + | 0.754051i | \(0.271903\pi\) | |||||||
\(270\) | −7.32527 | − | 12.6877i | −0.445802 | − | 0.772151i | ||||
\(271\) | −3.58480 | − | 6.20905i | −0.217761 | − | 0.377173i | 0.736362 | − | 0.676588i | \(-0.236542\pi\) |
−0.954123 | + | 0.299415i | \(0.903209\pi\) | |||||||
\(272\) | −2.43442 | −0.147609 | ||||||||
\(273\) | 1.10260 | + | 18.5180i | 0.0667322 | + | 1.12076i | ||||
\(274\) | 30.3948 | 1.83622 | ||||||||
\(275\) | −4.67665 | − | 8.10019i | −0.282013 | − | 0.488460i | ||||
\(276\) | 12.5190 | + | 21.6835i | 0.753554 | + | 1.30519i | ||||
\(277\) | −1.97993 | + | 3.42934i | −0.118963 | + | 0.206049i | −0.919357 | − | 0.393425i | \(-0.871290\pi\) |
0.800394 | + | 0.599474i | \(0.204624\pi\) | |||||||
\(278\) | −5.92745 | −0.355505 | ||||||||
\(279\) | 0.241228 | − | 0.417818i | 0.0144419 | − | 0.0250141i | ||||
\(280\) | −2.21870 | + | 3.84290i | −0.132592 | + | 0.229657i | ||||
\(281\) | −11.7185 | −0.699069 | −0.349534 | − | 0.936924i | \(-0.613660\pi\) | ||||
−0.349534 | + | 0.936924i | \(0.613660\pi\) | |||||||
\(282\) | −21.5607 | + | 37.3441i | −1.28392 | + | 2.22381i | ||||
\(283\) | −3.74115 | − | 6.47986i | −0.222388 | − | 0.385188i | 0.733144 | − | 0.680073i | \(-0.238052\pi\) |
−0.955533 | + | 0.294885i | \(0.904719\pi\) | |||||||
\(284\) | −6.48630 | − | 11.2346i | −0.384891 | − | 0.666651i | ||||
\(285\) | −5.53084 | −0.327619 | ||||||||
\(286\) | 18.6114 | + | 9.31687i | 1.10052 | + | 0.550918i | ||||
\(287\) | −0.418517 | −0.0247043 | ||||||||
\(288\) | 1.91399 | + | 3.31513i | 0.112783 | + | 0.195346i | ||||
\(289\) | 8.09394 | + | 14.0191i | 0.476114 | + | 0.824654i | ||||
\(290\) | 7.38506 | − | 12.7913i | 0.433665 | − | 0.751130i | ||||
\(291\) | −8.77115 | −0.514174 | ||||||||
\(292\) | −6.03195 | + | 10.4476i | −0.352993 | + | 0.611402i | ||||
\(293\) | −4.36890 | + | 7.56716i | −0.255234 | + | 0.442078i | −0.964959 | − | 0.262400i | \(-0.915486\pi\) |
0.709725 | + | 0.704479i | \(0.248819\pi\) | |||||||
\(294\) | 11.8516 | 0.691198 | ||||||||
\(295\) | −2.10028 | + | 3.63779i | −0.122283 | + | 0.211801i | ||||
\(296\) | −6.59424 | − | 11.4216i | −0.383282 | − | 0.663865i | ||||
\(297\) | 7.50463 | + | 12.9984i | 0.435463 | + | 0.754243i | ||||
\(298\) | −12.4157 | −0.719223 | ||||||||
\(299\) | −18.8765 | + | 12.4503i | −1.09166 | + | 0.720019i | ||||
\(300\) | 13.7467 | 0.793667 | ||||||||
\(301\) | 11.8513 | + | 20.5271i | 0.683100 | + | 1.18316i | ||||
\(302\) | −20.9110 | − | 36.2189i | −1.20329 | − | 2.08417i | ||||
\(303\) | −0.441719 | + | 0.765080i | −0.0253761 | + | 0.0439527i | ||||
\(304\) | 7.54733 | 0.432869 | ||||||||
\(305\) | −2.45253 | + | 4.24790i | −0.140431 | + | 0.243234i | ||||
\(306\) | −0.461974 | + | 0.800163i | −0.0264093 | + | 0.0457423i | ||||
\(307\) | 23.4380 | 1.33768 | 0.668839 | − | 0.743408i | \(-0.266792\pi\) | ||||
0.668839 | + | 0.743408i | \(0.266792\pi\) | |||||||
\(308\) | 11.0812 | − | 19.1932i | 0.631410 | − | 1.09363i | ||||
\(309\) | −3.38852 | − | 5.86909i | −0.192766 | − | 0.333881i | ||||
\(310\) | −1.32571 | − | 2.29620i | −0.0752954 | − | 0.130416i | ||||
\(311\) | 11.0569 | 0.626980 | 0.313490 | − | 0.949592i | \(-0.398502\pi\) | ||||
0.313490 | + | 0.949592i | \(0.398502\pi\) | |||||||
\(312\) | −5.23793 | + | 3.45476i | −0.296540 | + | 0.195587i | ||||
\(313\) | 33.9646 | 1.91979 | 0.959896 | − | 0.280355i | \(-0.0904521\pi\) | ||||
0.959896 | + | 0.280355i | \(0.0904521\pi\) | |||||||
\(314\) | −12.0198 | − | 20.8188i | −0.678314 | − | 1.17487i | ||||
\(315\) | −0.975944 | − | 1.69039i | −0.0549882 | − | 0.0952424i | ||||
\(316\) | 10.6331 | − | 18.4171i | 0.598160 | − | 1.03604i | ||||
\(317\) | 17.4288 | 0.978899 | 0.489449 | − | 0.872032i | \(-0.337198\pi\) | ||||
0.489449 | + | 0.872032i | \(0.337198\pi\) | |||||||
\(318\) | 11.7750 | − | 20.3949i | 0.660310 | − | 1.14369i | ||||
\(319\) | −7.56587 | + | 13.1045i | −0.423608 | + | 0.733710i | ||||
\(320\) | 14.2966 | 0.799203 | ||||||||
\(321\) | 7.07842 | − | 12.2602i | 0.395079 | − | 0.684296i | ||||
\(322\) | 21.6089 | + | 37.4278i | 1.20422 | + | 2.08577i | ||||
\(323\) | 1.25888 | + | 2.18044i | 0.0700459 | + | 0.121323i | ||||
\(324\) | −18.4176 | −1.02320 | ||||||||
\(325\) | 0.737916 | + | 12.3932i | 0.0409322 | + | 0.687450i | ||||
\(326\) | 18.6711 | 1.03410 | ||||||||
\(327\) | −10.9935 | − | 19.0414i | −0.607944 | − | 1.05299i | ||||
\(328\) | −0.0707802 | − | 0.122595i | −0.00390818 | − | 0.00676917i | ||||
\(329\) | −20.7344 | + | 35.9131i | −1.14313 | + | 1.97995i | ||||
\(330\) | 11.4275 | 0.629066 | ||||||||
\(331\) | −6.43945 | + | 11.1535i | −0.353944 | + | 0.613049i | −0.986937 | − | 0.161109i | \(-0.948493\pi\) |
0.632993 | + | 0.774158i | \(0.281826\pi\) | |||||||
\(332\) | −17.4850 | + | 30.2850i | −0.959616 | + | 1.66210i | ||||
\(333\) | 5.80125 | 0.317907 | ||||||||
\(334\) | −8.80010 | + | 15.2422i | −0.481520 | + | 0.834017i | ||||
\(335\) | 9.55917 | + | 16.5570i | 0.522273 | + | 0.904604i | ||||
\(336\) | −6.94940 | − | 12.0367i | −0.379121 | − | 0.656657i | ||||
\(337\) | −10.6352 | −0.579339 | −0.289669 | − | 0.957127i | \(-0.593545\pi\) | ||||
−0.289669 | + | 0.957127i | \(0.593545\pi\) | |||||||
\(338\) | −16.5547 | − | 22.1171i | −0.900457 | − | 1.20301i | ||||
\(339\) | 8.65026 | 0.469818 | ||||||||
\(340\) | 1.41451 | + | 2.45000i | 0.0767126 | + | 0.132870i | ||||
\(341\) | 1.35817 | + | 2.35242i | 0.0735492 | + | 0.127391i | ||||
\(342\) | 1.43224 | − | 2.48071i | 0.0774465 | − | 0.134141i | ||||
\(343\) | −11.3012 | −0.610207 | ||||||||
\(344\) | −4.00863 | + | 6.94315i | −0.216131 | + | 0.374349i | ||||
\(345\) | −6.20777 | + | 10.7522i | −0.334215 | + | 0.578877i | ||||
\(346\) | 18.3306 | 0.985461 | ||||||||
\(347\) | −3.91697 | + | 6.78440i | −0.210274 | + | 0.364205i | −0.951800 | − | 0.306718i | \(-0.900769\pi\) |
0.741526 | + | 0.670924i | \(0.234102\pi\) | |||||||
\(348\) | −11.1197 | − | 19.2599i | −0.596079 | − | 1.03244i | ||||
\(349\) | −10.1905 | − | 17.6505i | −0.545485 | − | 0.944808i | −0.998576 | − | 0.0533440i | \(-0.983012\pi\) |
0.453091 | − | 0.891464i | \(-0.350321\pi\) | |||||||
\(350\) | 23.7281 | 1.26832 | ||||||||
\(351\) | −1.18413 | − | 19.8874i | −0.0632044 | − | 1.06151i | ||||
\(352\) | −21.5525 | −1.14875 | ||||||||
\(353\) | 10.3888 | + | 17.9939i | 0.552938 | + | 0.957717i | 0.998061 | + | 0.0622472i | \(0.0198267\pi\) |
−0.445123 | + | 0.895470i | \(0.646840\pi\) | |||||||
\(354\) | 5.67612 | + | 9.83133i | 0.301682 | + | 0.522529i | ||||
\(355\) | 3.21635 | − | 5.57088i | 0.170706 | − | 0.295672i | ||||
\(356\) | 26.0457 | 1.38042 | ||||||||
\(357\) | 2.31829 | − | 4.01540i | 0.122697 | − | 0.212517i | ||||
\(358\) | −20.2783 | + | 35.1231i | −1.07174 | + | 1.85631i | ||||
\(359\) | 36.7030 | 1.93711 | 0.968554 | − | 0.248803i | \(-0.0800372\pi\) | ||||
0.968554 | + | 0.248803i | \(0.0800372\pi\) | |||||||
\(360\) | 0.330106 | − | 0.571760i | 0.0173981 | − | 0.0301344i | ||||
\(361\) | 5.59716 | + | 9.69456i | 0.294587 | + | 0.510240i | ||||
\(362\) | −23.0822 | − | 39.9796i | −1.21318 | − | 2.10128i | ||||
\(363\) | 5.74610 | 0.301592 | ||||||||
\(364\) | −24.5569 | + | 16.1969i | −1.28713 | + | 0.848948i | ||||
\(365\) | −5.98211 | −0.313118 | ||||||||
\(366\) | 6.62808 | + | 11.4802i | 0.346455 | + | 0.600079i | ||||
\(367\) | 0.539964 | + | 0.935245i | 0.0281859 | + | 0.0488194i | 0.879774 | − | 0.475392i | \(-0.157694\pi\) |
−0.851588 | + | 0.524211i | \(0.824360\pi\) | |||||||
\(368\) | 8.47105 | − | 14.6723i | 0.441584 | − | 0.764846i | ||||
\(369\) | 0.0622686 | 0.00324157 | ||||||||
\(370\) | 15.9410 | − | 27.6106i | 0.828731 | − | 1.43540i | ||||
\(371\) | 11.3238 | − | 19.6134i | 0.587902 | − | 1.01828i | ||||
\(372\) | −3.99226 | −0.206989 | ||||||||
\(373\) | −4.67714 | + | 8.10104i | −0.242173 | + | 0.419456i | −0.961333 | − | 0.275389i | \(-0.911193\pi\) |
0.719160 | + | 0.694844i | \(0.244527\pi\) | |||||||
\(374\) | −2.60103 | − | 4.50512i | −0.134496 | − | 0.232954i | ||||
\(375\) | 8.35737 | + | 14.4754i | 0.431573 | + | 0.747506i | ||||
\(376\) | −14.0265 | −0.723363 | ||||||||
\(377\) | 16.7666 | − | 11.0587i | 0.863525 | − | 0.569552i | ||||
\(378\) | −38.0766 | −1.95845 | ||||||||
\(379\) | 4.22434 | + | 7.31676i | 0.216990 | + | 0.375837i | 0.953886 | − | 0.300169i | \(-0.0970429\pi\) |
−0.736897 | + | 0.676005i | \(0.763710\pi\) | |||||||
\(380\) | −4.38534 | − | 7.59563i | −0.224963 | − | 0.389648i | ||||
\(381\) | 7.97205 | − | 13.8080i | 0.408421 | − | 0.707405i | ||||
\(382\) | 30.5401 | 1.56257 | ||||||||
\(383\) | 6.03164 | − | 10.4471i | 0.308202 | − | 0.533822i | −0.669767 | − | 0.742571i | \(-0.733606\pi\) |
0.977969 | + | 0.208750i | \(0.0669393\pi\) | |||||||
\(384\) | 6.72932 | − | 11.6555i | 0.343404 | − | 0.594794i | ||||
\(385\) | 10.9896 | 0.560084 | ||||||||
\(386\) | 7.31789 | − | 12.6750i | 0.372471 | − | 0.645139i | ||||
\(387\) | −1.76329 | − | 3.05410i | −0.0896329 | − | 0.155249i | ||||
\(388\) | −6.95455 | − | 12.0456i | −0.353064 | − | 0.611524i | ||||
\(389\) | −33.5547 | −1.70129 | −0.850646 | − | 0.525738i | \(-0.823789\pi\) | ||||
−0.850646 | + | 0.525738i | \(0.823789\pi\) | |||||||
\(390\) | −13.5638 | − | 6.79002i | −0.686829 | − | 0.343826i | ||||
\(391\) | 5.65182 | 0.285825 | ||||||||
\(392\) | 1.92755 | + | 3.33861i | 0.0973558 | + | 0.168625i | ||||
\(393\) | 1.83840 | + | 3.18420i | 0.0927351 | + | 0.160622i | ||||
\(394\) | −3.43414 | + | 5.94811i | −0.173010 | + | 0.299662i | ||||
\(395\) | 10.5453 | 0.530590 | ||||||||
\(396\) | −1.64870 | + | 2.85564i | −0.0828504 | + | 0.143501i | ||||
\(397\) | 8.76960 | − | 15.1894i | 0.440134 | − | 0.762334i | −0.557565 | − | 0.830133i | \(-0.688264\pi\) |
0.997699 | + | 0.0677993i | \(0.0215978\pi\) | |||||||
\(398\) | 2.00051 | 0.100277 | ||||||||
\(399\) | −7.18729 | + | 12.4488i | −0.359815 | + | 0.623217i | ||||
\(400\) | −4.65091 | − | 8.05561i | −0.232545 | − | 0.402780i | ||||
\(401\) | −0.632250 | − | 1.09509i | −0.0315730 | − | 0.0546861i | 0.849807 | − | 0.527094i | \(-0.176718\pi\) |
−0.881380 | + | 0.472408i | \(0.843385\pi\) | |||||||
\(402\) | 51.6683 | 2.57698 | ||||||||
\(403\) | −0.214302 | − | 3.59918i | −0.0106752 | − | 0.179288i | ||||
\(404\) | −1.40094 | −0.0696992 | ||||||||
\(405\) | −4.56636 | − | 7.90917i | −0.226904 | − | 0.393010i | ||||
\(406\) | −19.1937 | − | 33.2444i | −0.952566 | − | 1.64989i | ||||
\(407\) | −16.3313 | + | 28.2866i | −0.809511 | + | 1.40211i | ||||
\(408\) | 1.56829 | 0.0776420 | ||||||||
\(409\) | −7.14096 | + | 12.3685i | −0.353098 | + | 0.611583i | −0.986790 | − | 0.162002i | \(-0.948205\pi\) |
0.633693 | + | 0.773585i | \(0.281538\pi\) | |||||||
\(410\) | 0.171105 | − | 0.296362i | 0.00845025 | − | 0.0146363i | ||||
\(411\) | 22.6937 | 1.11940 | ||||||||
\(412\) | 5.37344 | − | 9.30706i | 0.264730 | − | 0.458526i | ||||
\(413\) | 5.45861 | + | 9.45458i | 0.268600 | + | 0.465230i | ||||
\(414\) | −3.21506 | − | 5.56865i | −0.158012 | − | 0.273684i | ||||
\(415\) | −17.3406 | −0.851214 | ||||||||
\(416\) | 25.5815 | + | 12.8061i | 1.25424 | + | 0.627869i | ||||
\(417\) | −4.42562 | −0.216723 | ||||||||
\(418\) | 8.06386 | + | 13.9670i | 0.394416 | + | 0.683149i | ||||
\(419\) | −15.1205 | − | 26.1895i | −0.738685 | − | 1.27944i | −0.953088 | − | 0.302695i | \(-0.902114\pi\) |
0.214403 | − | 0.976745i | \(-0.431220\pi\) | |||||||
\(420\) | −8.07584 | + | 13.9878i | −0.394060 | + | 0.682533i | ||||
\(421\) | 29.7190 | 1.44842 | 0.724209 | − | 0.689581i | \(-0.242205\pi\) | ||||
0.724209 | + | 0.689581i | \(0.242205\pi\) | |||||||
\(422\) | 12.1180 | − | 20.9891i | 0.589897 | − | 1.02173i | ||||
\(423\) | 3.08495 | − | 5.34328i | 0.149995 | − | 0.259799i | ||||
\(424\) | 7.66037 | 0.372021 | ||||||||
\(425\) | 1.55152 | − | 2.68732i | 0.0752599 | − | 0.130354i | ||||
\(426\) | −8.69235 | − | 15.0556i | −0.421146 | − | 0.729446i | ||||
\(427\) | 6.37409 | + | 11.0402i | 0.308464 | + | 0.534275i | ||||
\(428\) | 22.4496 | 1.08514 | ||||||||
\(429\) | 13.8959 | + | 6.95627i | 0.670899 | + | 0.335852i | ||||
\(430\) | −19.3810 | −0.934633 | ||||||||
\(431\) | 2.64047 | + | 4.57343i | 0.127187 | + | 0.220294i | 0.922586 | − | 0.385792i | \(-0.126072\pi\) |
−0.795399 | + | 0.606087i | \(0.792738\pi\) | |||||||
\(432\) | 7.46332 | + | 12.9268i | 0.359079 | + | 0.621943i | ||||
\(433\) | 9.09156 | − | 15.7470i | 0.436912 | − | 0.756754i | −0.560537 | − | 0.828129i | \(-0.689405\pi\) |
0.997450 | + | 0.0713749i | \(0.0227387\pi\) | |||||||
\(434\) | −6.89102 | −0.330780 | ||||||||
\(435\) | 5.51391 | − | 9.55038i | 0.264372 | − | 0.457905i | ||||
\(436\) | 17.4333 | − | 30.1954i | 0.834904 | − | 1.44610i | ||||
\(437\) | −17.5221 | −0.838194 | ||||||||
\(438\) | −8.08348 | + | 14.0010i | −0.386244 | + | 0.668994i | ||||
\(439\) | −16.9313 | − | 29.3258i | −0.808085 | − | 1.39964i | −0.914188 | − | 0.405289i | \(-0.867171\pi\) |
0.106103 | − | 0.994355i | \(-0.466163\pi\) | |||||||
\(440\) | 1.85858 | + | 3.21916i | 0.0886044 | + | 0.153467i | ||||
\(441\) | −1.69575 | −0.0807500 | ||||||||
\(442\) | 0.410410 | + | 6.89277i | 0.0195212 | + | 0.327856i | ||||
\(443\) | −21.8544 | −1.03834 | −0.519168 | − | 0.854673i | \(-0.673758\pi\) | ||||
−0.519168 | + | 0.854673i | \(0.673758\pi\) | |||||||
\(444\) | −24.0024 | − | 41.5733i | −1.13910 | − | 1.97298i | ||||
\(445\) | 6.45763 | + | 11.1849i | 0.306121 | + | 0.530217i | ||||
\(446\) | −7.38809 | + | 12.7965i | −0.349836 | + | 0.605934i | ||||
\(447\) | −9.26996 | −0.438454 | ||||||||
\(448\) | 18.5783 | − | 32.1786i | 0.877743 | − | 1.52030i | ||||
\(449\) | −19.6062 | + | 33.9589i | −0.925272 | + | 1.60262i | −0.134149 | + | 0.990961i | \(0.542830\pi\) |
−0.791123 | + | 0.611657i | \(0.790503\pi\) | |||||||
\(450\) | −3.53036 | −0.166423 | ||||||||
\(451\) | −0.175294 | + | 0.303618i | −0.00825427 | + | 0.0142968i | ||||
\(452\) | 6.85869 | + | 11.8796i | 0.322606 | + | 0.558769i | ||||
\(453\) | −15.6128 | − | 27.0422i | −0.733554 | − | 1.27055i | ||||
\(454\) | 41.3756 | 1.94186 | ||||||||
\(455\) | −13.0440 | − | 6.52982i | −0.611512 | − | 0.306123i | ||||
\(456\) | −4.86210 | −0.227689 | ||||||||
\(457\) | 10.7905 | + | 18.6897i | 0.504759 | + | 0.874269i | 0.999985 | + | 0.00550432i | \(0.00175209\pi\) |
−0.495226 | + | 0.868764i | \(0.664915\pi\) | |||||||
\(458\) | −7.20349 | − | 12.4768i | −0.336597 | − | 0.583003i | ||||
\(459\) | −2.48973 | + | 4.31234i | −0.116211 | + | 0.201283i | ||||
\(460\) | −19.6883 | −0.917970 | ||||||||
\(461\) | −8.33564 | + | 14.4378i | −0.388230 | + | 0.672433i | −0.992211 | − | 0.124565i | \(-0.960247\pi\) |
0.603982 | + | 0.796998i | \(0.293580\pi\) | |||||||
\(462\) | 14.8500 | − | 25.7210i | 0.690886 | − | 1.19665i | ||||
\(463\) | −7.89838 | −0.367069 | −0.183534 | − | 0.983013i | \(-0.558754\pi\) | ||||
−0.183534 | + | 0.983013i | \(0.558754\pi\) | |||||||
\(464\) | −7.52423 | + | 13.0323i | −0.349304 | + | 0.605011i | ||||
\(465\) | −0.989819 | − | 1.71442i | −0.0459017 | − | 0.0795041i | ||||
\(466\) | 15.5997 | + | 27.0195i | 0.722642 | + | 1.25165i | ||||
\(467\) | 8.15177 | 0.377219 | 0.188609 | − | 0.982052i | \(-0.439602\pi\) | ||||
0.188609 | + | 0.982052i | \(0.439602\pi\) | |||||||
\(468\) | 3.65367 | − | 2.40983i | 0.168891 | − | 0.111395i | ||||
\(469\) | 49.6883 | 2.29439 | ||||||||
\(470\) | −16.9539 | − | 29.3651i | −0.782026 | − | 1.35451i | ||||
\(471\) | −8.97432 | − | 15.5440i | −0.413515 | − | 0.716229i | ||||
\(472\) | −1.84633 | + | 3.19794i | −0.0849844 | + | 0.147197i | ||||
\(473\) | 19.8555 | 0.912957 | ||||||||
\(474\) | 14.2496 | − | 24.6810i | 0.654504 | − | 1.13363i | ||||
\(475\) | −4.81011 | + | 8.33136i | −0.220703 | + | 0.382269i | ||||
\(476\) | 7.35259 | 0.337005 | ||||||||
\(477\) | −1.68480 | + | 2.91815i | −0.0771415 | + | 0.133613i | ||||
\(478\) | 3.01980 | + | 5.23044i | 0.138122 | + | 0.239235i | ||||
\(479\) | 19.3336 | + | 33.4869i | 0.883377 | + | 1.53005i | 0.847563 | + | 0.530695i | \(0.178069\pi\) |
0.0358141 | + | 0.999358i | \(0.488598\pi\) | |||||||
\(480\) | 15.7072 | 0.716932 | ||||||||
\(481\) | 36.1915 | − | 23.8707i | 1.65019 | − | 1.08841i | ||||
\(482\) | −61.4524 | −2.79908 | ||||||||
\(483\) | 16.1339 | + | 27.9447i | 0.734118 | + | 1.27153i | ||||
\(484\) | 4.55602 | + | 7.89126i | 0.207092 | + | 0.358693i | ||||
\(485\) | 3.44854 | − | 5.97304i | 0.156590 | − | 0.271222i | ||||
\(486\) | 10.5455 | 0.478354 | ||||||||
\(487\) | −18.9104 | + | 32.7538i | −0.856912 | + | 1.48422i | 0.0179474 | + | 0.999839i | \(0.494287\pi\) |
−0.874860 | + | 0.484377i | \(0.839046\pi\) | |||||||
\(488\) | −2.15599 | + | 3.73428i | −0.0975970 | + | 0.169043i | ||||
\(489\) | 13.9404 | 0.630407 | ||||||||
\(490\) | −4.65966 | + | 8.07077i | −0.210502 | + | 0.364600i | ||||
\(491\) | −7.13604 | − | 12.3600i | −0.322045 | − | 0.557798i | 0.658865 | − | 0.752261i | \(-0.271037\pi\) |
−0.980910 | + | 0.194463i | \(0.937704\pi\) | |||||||
\(492\) | −0.257633 | − | 0.446233i | −0.0116150 | − | 0.0201178i | ||||
\(493\) | −5.02010 | −0.226094 | ||||||||
\(494\) | −1.27238 | − | 21.3693i | −0.0572469 | − | 0.961452i | ||||
\(495\) | −1.63508 | −0.0734913 | ||||||||
\(496\) | 1.35070 | + | 2.33947i | 0.0606481 | + | 0.105046i | ||||
\(497\) | −8.35925 | − | 14.4786i | −0.374964 | − | 0.649456i | ||||
\(498\) | −23.4319 | + | 40.5852i | −1.05001 | + | 1.81867i | ||||
\(499\) | 17.4787 | 0.782455 | 0.391228 | − | 0.920294i | \(-0.372051\pi\) | ||||
0.391228 | + | 0.920294i | \(0.372051\pi\) | |||||||
\(500\) | −13.2529 | + | 22.9547i | −0.592689 | + | 1.02657i | ||||
\(501\) | −6.57043 | + | 11.3803i | −0.293545 | + | 0.508435i | ||||
\(502\) | −47.5919 | −2.12413 | ||||||||
\(503\) | −5.88149 | + | 10.1870i | −0.262243 | + | 0.454218i | −0.966838 | − | 0.255392i | \(-0.917795\pi\) |
0.704595 | + | 0.709610i | \(0.251129\pi\) | |||||||
\(504\) | −0.857942 | − | 1.48600i | −0.0382158 | − | 0.0661916i | ||||
\(505\) | −0.347340 | − | 0.601610i | −0.0154564 | − | 0.0267713i | ||||
\(506\) | 36.2032 | 1.60943 | ||||||||
\(507\) | −12.3603 | − | 16.5133i | −0.548938 | − | 0.733381i | ||||
\(508\) | 25.2838 | 1.12179 | ||||||||
\(509\) | 13.1640 | + | 22.8008i | 0.583485 | + | 1.01063i | 0.995062 | + | 0.0992508i | \(0.0316446\pi\) |
−0.411577 | + | 0.911375i | \(0.635022\pi\) | |||||||
\(510\) | 1.89560 | + | 3.28327i | 0.0839385 | + | 0.145386i | ||||
\(511\) | −7.77371 | + | 13.4645i | −0.343889 | + | 0.595633i | ||||
\(512\) | −27.3597 | −1.20914 | ||||||||
\(513\) | 7.71880 | − | 13.3694i | 0.340793 | − | 0.590271i | ||||
\(514\) | 22.0539 | − | 38.1985i | 0.972756 | − | 1.68486i | ||||
\(515\) | 5.32903 | 0.234825 | ||||||||
\(516\) | −14.5910 | + | 25.2724i | −0.642333 | + | 1.11255i | ||||
\(517\) | 17.3690 | + | 30.0841i | 0.763889 | + | 1.32310i | ||||
\(518\) | −41.4304 | − | 71.7595i | −1.82035 | − | 3.15293i | ||||
\(519\) | 13.6862 | 0.600758 | ||||||||
\(520\) | −0.293261 | − | 4.92527i | −0.0128603 | − | 0.215987i | ||||
\(521\) | 19.1419 | 0.838624 | 0.419312 | − | 0.907842i | \(-0.362271\pi\) | ||||
0.419312 | + | 0.907842i | \(0.362271\pi\) | |||||||
\(522\) | 2.85571 | + | 4.94623i | 0.124991 | + | 0.216491i | ||||
\(523\) | 9.40829 | + | 16.2956i | 0.411396 | + | 0.712558i | 0.995043 | − | 0.0994494i | \(-0.0317081\pi\) |
−0.583647 | + | 0.812007i | \(0.698375\pi\) | |||||||
\(524\) | −2.91529 | + | 5.04944i | −0.127355 | + | 0.220586i | ||||
\(525\) | 17.7162 | 0.773197 | ||||||||
\(526\) | 3.99998 | − | 6.92817i | 0.174407 | − | 0.302083i | ||||
\(527\) | −0.450587 | + | 0.780439i | −0.0196279 | + | 0.0339965i | ||||
\(528\) | −11.6429 | −0.506692 | ||||||||
\(529\) | −8.16661 | + | 14.1450i | −0.355070 | + | 0.614999i | ||||
\(530\) | 9.25912 | + | 16.0373i | 0.402191 | + | 0.696615i | ||||
\(531\) | −0.812152 | − | 1.40669i | −0.0352444 | − | 0.0610451i | ||||
\(532\) | −22.7949 | −0.988284 | ||||||||
\(533\) | 0.388467 | − | 0.256219i | 0.0168264 | − | 0.0110981i | ||||
\(534\) | 34.9042 | 1.51045 | ||||||||
\(535\) | 5.56602 | + | 9.64062i | 0.240640 | + | 0.416800i | ||||
\(536\) | 8.40336 | + | 14.5550i | 0.362970 | + | 0.628682i | ||||
\(537\) | −15.1404 | + | 26.2240i | −0.653357 | + | 1.13165i | ||||
\(538\) | −22.6289 | −0.975601 | ||||||||
\(539\) | 4.77375 | − | 8.26838i | 0.205620 | − | 0.356144i | ||||
\(540\) | 8.67305 | − | 15.0222i | 0.373229 | − | 0.646451i | ||||
\(541\) | −31.4255 | −1.35109 | −0.675544 | − | 0.737320i | \(-0.736091\pi\) | ||||
−0.675544 | + | 0.737320i | \(0.736091\pi\) | |||||||
\(542\) | 7.61811 | − | 13.1949i | 0.327226 | − | 0.566771i | ||||
\(543\) | −17.2339 | − | 29.8500i | −0.739578 | − | 1.28099i | ||||
\(544\) | −3.57513 | − | 6.19230i | −0.153282 | − | 0.265493i | ||||
\(545\) | 17.2892 | 0.740590 | ||||||||
\(546\) | −32.9089 | + | 21.7056i | −1.40837 | + | 0.928915i | ||||
\(547\) | −29.4560 | −1.25945 | −0.629724 | − | 0.776819i | \(-0.716832\pi\) | ||||
−0.629724 | + | 0.776819i | \(0.716832\pi\) | |||||||
\(548\) | 17.9936 | + | 31.1658i | 0.768647 | + | 1.33133i | ||||
\(549\) | −0.948361 | − | 1.64261i | −0.0404751 | − | 0.0701049i | ||||
\(550\) | 9.93842 | − | 17.2138i | 0.423776 | − | 0.734001i | ||||
\(551\) | 15.5636 | 0.663031 | ||||||||
\(552\) | −5.45718 | + | 9.45211i | −0.232273 | + | 0.402308i | ||||
\(553\) | 13.7035 | − | 23.7352i | 0.582733 | − | 1.00932i | ||||
\(554\) | −8.41516 | −0.357526 | ||||||||
\(555\) | 11.9020 | − | 20.6149i | 0.505213 | − | 0.875054i | ||||
\(556\) | −3.50902 | − | 6.07780i | −0.148816 | − | 0.257756i | ||||
\(557\) | −13.3624 | − | 23.1443i | −0.566182 | − | 0.980656i | −0.996939 | − | 0.0781876i | \(-0.975087\pi\) |
0.430757 | − | 0.902468i | \(-0.358247\pi\) | |||||||
\(558\) | 1.02527 | 0.0434033 | ||||||||
\(559\) | −23.5672 | − | 11.7977i | −0.996788 | − | 0.498991i | ||||
\(560\) | 10.9291 | 0.461840 | ||||||||
\(561\) | −1.94201 | − | 3.36366i | −0.0819918 | − | 0.142014i | ||||
\(562\) | −12.4516 | − | 21.5668i | −0.525240 | − | 0.909742i | ||||
\(563\) | −16.9699 | + | 29.3926i | −0.715194 | + | 1.23875i | 0.247691 | + | 0.968839i | \(0.420328\pi\) |
−0.962885 | + | 0.269913i | \(0.913005\pi\) | |||||||
\(564\) | −51.0552 | −2.14981 | ||||||||
\(565\) | −3.40101 | + | 5.89072i | −0.143081 | + | 0.247824i | ||||
\(566\) | 7.95038 | − | 13.7705i | 0.334179 | − | 0.578816i | ||||
\(567\) | −23.7358 | −0.996812 | ||||||||
\(568\) | 2.82746 | − | 4.89730i | 0.118637 | − | 0.205486i | ||||
\(569\) | 2.03218 | + | 3.51984i | 0.0851933 | + | 0.147559i | 0.905474 | − | 0.424403i | \(-0.139516\pi\) |
−0.820280 | + | 0.571962i | \(0.806183\pi\) | |||||||
\(570\) | −5.87684 | − | 10.1790i | −0.246154 | − | 0.426351i | ||||
\(571\) | 15.9467 | 0.667348 | 0.333674 | − | 0.942688i | \(-0.391711\pi\) | ||||
0.333674 | + | 0.942688i | \(0.391711\pi\) | |||||||
\(572\) | 1.46468 | + | 24.5991i | 0.0612413 | + | 1.02854i | ||||
\(573\) | 22.8022 | 0.952574 | ||||||||
\(574\) | −0.444699 | − | 0.770241i | −0.0185614 | − | 0.0321492i | ||||
\(575\) | 10.7977 | + | 18.7021i | 0.450293 | + | 0.779931i | ||||
\(576\) | −2.76415 | + | 4.78765i | −0.115173 | + | 0.199486i | ||||
\(577\) | 14.4117 | 0.599965 | 0.299983 | − | 0.953945i | \(-0.403019\pi\) | ||||
0.299983 | + | 0.953945i | \(0.403019\pi\) | |||||||
\(578\) | −17.2006 | + | 29.7923i | −0.715449 | + | 1.23919i | ||||
\(579\) | 5.46377 | − | 9.46352i | 0.227066 | − | 0.393290i | ||||
\(580\) | 17.4877 | 0.726136 | ||||||||
\(581\) | −22.5339 | + | 39.0299i | −0.934866 | + | 1.61923i | ||||
\(582\) | −9.31986 | − | 16.1425i | −0.386321 | − | 0.669127i | ||||
\(583\) | −9.48583 | − | 16.4299i | −0.392863 | − | 0.680458i | ||||
\(584\) | −5.25880 | −0.217611 | ||||||||
\(585\) | 1.94074 | + | 0.971531i | 0.0802395 | + | 0.0401679i | ||||
\(586\) | −18.5688 | −0.767072 | ||||||||
\(587\) | −10.9440 | − | 18.9555i | −0.451707 | − | 0.782379i | 0.546786 | − | 0.837273i | \(-0.315851\pi\) |
−0.998492 | + | 0.0548938i | \(0.982518\pi\) | |||||||
\(588\) | 7.01608 | + | 12.1522i | 0.289338 | + | 0.501148i | ||||
\(589\) | 1.39693 | − | 2.41956i | 0.0575596 | − | 0.0996962i | ||||
\(590\) | −8.92668 | −0.367506 | ||||||||
\(591\) | −2.56404 | + | 4.44105i | −0.105470 | + | 0.182680i | ||||
\(592\) | −16.2414 | + | 28.1309i | −0.667516 | + | 1.15617i | ||||
\(593\) | −12.1341 | −0.498288 | −0.249144 | − | 0.968466i | \(-0.580149\pi\) | ||||
−0.249144 | + | 0.968466i | \(0.580149\pi\) | |||||||
\(594\) | −15.9482 | + | 27.6231i | −0.654362 | + | 1.13339i | ||||
\(595\) | 1.82296 | + | 3.15746i | 0.0747340 | + | 0.129443i | ||||
\(596\) | −7.35004 | − | 12.7306i | −0.301069 | − | 0.521468i | ||||
\(597\) | 1.49365 | 0.0611309 | ||||||||
\(598\) | −42.9709 | − | 21.5112i | −1.75721 | − | 0.879659i | ||||
\(599\) | 10.5415 | 0.430713 | 0.215357 | − | 0.976535i | \(-0.430909\pi\) | ||||
0.215357 | + | 0.976535i | \(0.430909\pi\) | |||||||
\(600\) | 2.99618 | + | 5.18954i | 0.122319 | + | 0.211862i | ||||
\(601\) | −6.81000 | − | 11.7953i | −0.277786 | − | 0.481139i | 0.693048 | − | 0.720891i | \(-0.256267\pi\) |
−0.970834 | + | 0.239752i | \(0.922934\pi\) | |||||||
\(602\) | −25.1855 | + | 43.6225i | −1.02648 | + | 1.77792i | ||||
\(603\) | −7.39282 | −0.301059 | ||||||||
\(604\) | 24.7584 | − | 42.8829i | 1.00741 | − | 1.74488i | ||||
\(605\) | −2.25919 | + | 3.91302i | −0.0918490 | + | 0.159087i | ||||
\(606\) | −1.87741 | −0.0762645 | ||||||||
\(607\) | −9.70688 | + | 16.8128i | −0.393990 | + | 0.682411i | −0.992972 | − | 0.118352i | \(-0.962239\pi\) |
0.598982 | + | 0.800763i | \(0.295572\pi\) | |||||||
\(608\) | 11.0838 | + | 19.1977i | 0.449508 | + | 0.778570i | ||||
\(609\) | −14.3306 | − | 24.8213i | −0.580705 | − | 1.00581i | ||||
\(610\) | −10.4238 | −0.422048 | ||||||||
\(611\) | −2.74061 | − | 46.0282i | −0.110873 | − | 1.86210i | ||||
\(612\) | −1.09395 | −0.0442201 | ||||||||
\(613\) | −18.6190 | − | 32.2490i | −0.752013 | − | 1.30252i | −0.946846 | − | 0.321688i | \(-0.895750\pi\) |
0.194833 | − | 0.980836i | \(-0.437584\pi\) | |||||||
\(614\) | 24.9042 | + | 43.1354i | 1.00505 | + | 1.74080i | ||||
\(615\) | 0.127752 | − | 0.221273i | 0.00515146 | − | 0.00892259i | ||||
\(616\) | 9.66086 | 0.389247 | ||||||||
\(617\) | −16.9177 | + | 29.3023i | −0.681081 | + | 1.17967i | 0.293570 | + | 0.955938i | \(0.405157\pi\) |
−0.974651 | + | 0.223730i | \(0.928177\pi\) | |||||||
\(618\) | 7.20100 | − | 12.4725i | 0.289667 | − | 0.501717i | ||||
\(619\) | −23.9463 | −0.962482 | −0.481241 | − | 0.876588i | \(-0.659814\pi\) | ||||
−0.481241 | + | 0.876588i | \(0.659814\pi\) | |||||||
\(620\) | 1.56963 | − | 2.71868i | 0.0630379 | − | 0.109185i | ||||
\(621\) | −17.3270 | − | 30.0113i | −0.695309 | − | 1.20431i | ||||
\(622\) | 11.7486 | + | 20.3492i | 0.471076 | + | 0.815928i | ||||
\(623\) | 33.5666 | 1.34482 | ||||||||
\(624\) | 13.8194 | + | 6.91798i | 0.553218 | + | 0.276941i | ||||
\(625\) | 4.07328 | 0.162931 | ||||||||
\(626\) | 36.0894 | + | 62.5086i | 1.44242 | + | 2.49835i | ||||
\(627\) | 6.02073 | + | 10.4282i | 0.240445 | + | 0.416463i | ||||
\(628\) | 14.2313 | − | 24.6493i | 0.567889 | − | 0.983613i | ||||
\(629\) | −10.8361 | −0.432064 | ||||||||
\(630\) | 2.07399 | − | 3.59226i | 0.0826299 | − | 0.143119i | ||||
\(631\) | −13.3635 | + | 23.1462i | −0.531992 | + | 0.921437i | 0.467311 | + | 0.884093i | \(0.345223\pi\) |
−0.999302 | + | 0.0373439i | \(0.988110\pi\) | |||||||
\(632\) | 9.27022 | 0.368750 | ||||||||
\(633\) | 9.04770 | − | 15.6711i | 0.359614 | − | 0.622870i | ||||
\(634\) | 18.5191 | + | 32.0760i | 0.735487 | + | 1.27390i | ||||
\(635\) | 6.26871 | + | 10.8577i | 0.248766 | + | 0.430876i | ||||
\(636\) | 27.8830 | 1.10563 | ||||||||
\(637\) | −10.5790 | + | 6.97758i | −0.419157 | + | 0.276462i | ||||
\(638\) | −32.1567 | −1.27310 | ||||||||
\(639\) | 1.24372 | + | 2.15419i | 0.0492009 | + | 0.0852184i | ||||
\(640\) | 5.29151 | + | 9.16517i | 0.209165 | + | 0.362285i | ||||
\(641\) | 6.71183 | − | 11.6252i | 0.265101 | − | 0.459169i | −0.702489 | − | 0.711695i | \(-0.747928\pi\) |
0.967590 | + | 0.252526i | \(0.0812612\pi\) | |||||||
\(642\) | 30.0849 | 1.18736 | ||||||||
\(643\) | −20.4950 | + | 35.4985i | −0.808246 | + | 1.39992i | 0.105832 | + | 0.994384i | \(0.466249\pi\) |
−0.914078 | + | 0.405538i | \(0.867084\pi\) | |||||||
\(644\) | −25.5848 | + | 44.3141i | −1.00818 | + | 1.74622i | ||||
\(645\) | −14.4704 | −0.569773 | ||||||||
\(646\) | −2.67526 | + | 4.63369i | −0.105257 | + | 0.182310i | ||||
\(647\) | −1.69947 | − | 2.94356i | −0.0668129 | − | 0.115723i | 0.830684 | − | 0.556744i | \(-0.187950\pi\) |
−0.897497 | + | 0.441021i | \(0.854616\pi\) | |||||||
\(648\) | −4.01424 | − | 6.95286i | −0.157694 | − | 0.273134i | ||||
\(649\) | 9.14525 | 0.358982 | ||||||||
\(650\) | −22.0244 | + | 14.5265i | −0.863868 | + | 0.569778i | ||||
\(651\) | −5.14505 | −0.201651 | ||||||||
\(652\) | 11.0532 | + | 19.1447i | 0.432876 | + | 0.749763i | ||||
\(653\) | 4.61156 | + | 7.98745i | 0.180464 | + | 0.312573i | 0.942039 | − | 0.335504i | \(-0.108907\pi\) |
−0.761575 | + | 0.648077i | \(0.775573\pi\) | |||||||
\(654\) | 23.3626 | − | 40.4651i | 0.913548 | − | 1.58231i | ||||
\(655\) | −2.89120 | −0.112969 | ||||||||
\(656\) | −0.174329 | + | 0.301947i | −0.00680641 | + | 0.0117890i | ||||
\(657\) | 1.15660 | − | 2.00329i | 0.0451234 | − | 0.0781560i | ||||
\(658\) | −88.1261 | −3.43551 | ||||||||
\(659\) | −1.73692 | + | 3.00844i | −0.0676609 | + | 0.117192i | −0.897871 | − | 0.440258i | \(-0.854887\pi\) |
0.830210 | + | 0.557450i | \(0.188220\pi\) | |||||||
\(660\) | 6.76505 | + | 11.7174i | 0.263329 | + | 0.456100i | ||||
\(661\) | 0.655426 | + | 1.13523i | 0.0254931 | + | 0.0441554i | 0.878491 | − | 0.477760i | \(-0.158551\pi\) |
−0.852997 | + | 0.521915i | \(0.825218\pi\) | |||||||
\(662\) | −27.3691 | −1.06373 | ||||||||
\(663\) | 0.306425 | + | 5.14636i | 0.0119006 | + | 0.199868i | ||||
\(664\) | −15.2439 | −0.591578 | ||||||||
\(665\) | −5.65163 | − | 9.78891i | −0.219161 | − | 0.379598i | ||||
\(666\) | 6.16417 | + | 10.6767i | 0.238857 | + | 0.413712i | ||||
\(667\) | 17.4684 | − | 30.2562i | 0.676380 | − | 1.17153i | ||||
\(668\) | −20.8385 | −0.806265 | ||||||||
\(669\) | −5.51618 | + | 9.55430i | −0.213268 | + | 0.369391i | ||||
\(670\) | −20.3143 | + | 35.1855i | −0.784811 | + | 1.35933i | ||||
\(671\) | 10.6790 | 0.412259 | ||||||||
\(672\) | 20.4114 | − | 35.3536i | 0.787387 | − | 1.36379i | ||||
\(673\) | 9.93987 | + | 17.2164i | 0.383154 | + | 0.663642i | 0.991511 | − | 0.130021i | \(-0.0415045\pi\) |
−0.608357 | + | 0.793663i | \(0.708171\pi\) | |||||||
\(674\) | −11.3006 | − | 19.5732i | −0.435281 | − | 0.753930i | ||||
\(675\) | −19.0263 | −0.732322 | ||||||||
\(676\) | 12.8778 | − | 30.0678i | 0.495300 | − | 1.15645i | ||||
\(677\) | −34.0960 | −1.31041 | −0.655207 | − | 0.755449i | \(-0.727419\pi\) | ||||
−0.655207 | + | 0.755449i | \(0.727419\pi\) | |||||||
\(678\) | 9.19140 | + | 15.9200i | 0.352994 | + | 0.611403i | ||||
\(679\) | −8.96271 | − | 15.5239i | −0.343957 | − | 0.595751i | ||||
\(680\) | −0.616602 | + | 1.06799i | −0.0236456 | + | 0.0409554i | ||||
\(681\) | 30.8923 | 1.18380 | ||||||||
\(682\) | −2.88627 | + | 4.99917i | −0.110521 | + | 0.191428i | ||||
\(683\) | 6.84605 | − | 11.8577i | 0.261957 | − | 0.453723i | −0.704805 | − | 0.709401i | \(-0.748965\pi\) |
0.966762 | + | 0.255678i | \(0.0822988\pi\) | |||||||
\(684\) | 3.39151 | 0.129678 | ||||||||
\(685\) | −8.92243 | + | 15.4541i | −0.340909 | + | 0.590471i | ||||
\(686\) | −12.0082 | − | 20.7988i | −0.458474 | − | 0.794101i | ||||
\(687\) | −5.37835 | − | 9.31557i | −0.205197 | − | 0.355411i | ||||
\(688\) | 19.7462 | 0.752817 | ||||||||
\(689\) | 1.49674 | + | 25.1376i | 0.0570214 | + | 0.957666i | ||||
\(690\) | −26.3844 | −1.00444 | ||||||||
\(691\) | −25.7464 | − | 44.5941i | −0.979440 | − | 1.69644i | −0.664427 | − | 0.747353i | \(-0.731324\pi\) |
−0.315013 | − | 0.949087i | \(-0.602009\pi\) | |||||||
\(692\) | 10.8516 | + | 18.7956i | 0.412518 | + | 0.714501i | ||||
\(693\) | −2.12478 | + | 3.68022i | −0.0807135 | + | 0.139800i | ||||
\(694\) | −16.6480 | −0.631951 | ||||||||
\(695\) | 1.74001 | − | 3.01379i | 0.0660024 | − | 0.114320i | ||||
\(696\) | 4.84722 | − | 8.39563i | 0.183733 | − | 0.318235i | ||||
\(697\) | −0.116311 | −0.00440559 | ||||||||
\(698\) | 21.6560 | − | 37.5093i | 0.819692 | − | 1.41975i | ||||
\(699\) | 11.6472 | + | 20.1736i | 0.440538 | + | 0.763035i | ||||
\(700\) | 14.0469 | + | 24.3300i | 0.530924 | + | 0.919588i | ||||
\(701\) | −40.7595 | −1.53947 | −0.769733 | − | 0.638366i | \(-0.779611\pi\) | ||||
−0.769733 | + | 0.638366i | \(0.779611\pi\) | |||||||
\(702\) | 35.3426 | − | 23.3108i | 1.33392 | − | 0.879808i | ||||
\(703\) | 33.5947 | 1.26705 | ||||||||
\(704\) | −15.5629 | − | 26.9557i | −0.586548 | − | 1.01593i | ||||
\(705\) | −12.6583 | − | 21.9249i | −0.476740 | − | 0.825738i | ||||
\(706\) | −22.0773 | + | 38.2390i | −0.830891 | + | 1.43915i | ||||
\(707\) | −1.80546 | −0.0679015 | ||||||||
\(708\) | −6.72047 | + | 11.6402i | −0.252571 | + | 0.437465i | ||||
\(709\) | −8.58295 | + | 14.8661i | −0.322340 | + | 0.558309i | −0.980970 | − | 0.194158i | \(-0.937803\pi\) |
0.658631 | + | 0.752466i | \(0.271136\pi\) | |||||||
\(710\) | 13.6702 | 0.513034 | ||||||||
\(711\) | −2.03886 | + | 3.53141i | −0.0764632 | + | 0.132438i | ||||
\(712\) | 5.67683 | + | 9.83255i | 0.212748 | + | 0.368491i | ||||
\(713\) | −3.13581 | − | 5.43138i | −0.117437 | − | 0.203407i | ||||
\(714\) | 9.85328 | 0.368750 | ||||||||
\(715\) | −10.2005 | + | 6.72793i | −0.381479 | + | 0.251610i | ||||
\(716\) | −48.0186 | −1.79454 | ||||||||
\(717\) | 2.25467 | + | 3.90521i | 0.0842024 | + | 0.145843i | ||||
\(718\) | 38.9990 | + | 67.5483i | 1.45543 | + | 2.52088i | ||||
\(719\) | 4.49459 | − | 7.78485i | 0.167620 | − | 0.290326i | −0.769963 | − | 0.638089i | \(-0.779725\pi\) |
0.937583 | + | 0.347763i | \(0.113059\pi\) | |||||||
\(720\) | −1.62608 | −0.0606004 | ||||||||
\(721\) | 6.92505 | − | 11.9945i | 0.257902 | − | 0.446700i | ||||
\(722\) | −11.8946 | + | 20.6021i | −0.442671 | + | 0.766729i | ||||
\(723\) | −45.8823 | −1.70638 | ||||||||
\(724\) | 27.3291 | − | 47.3355i | 1.01568 | − | 1.75921i | ||||
\(725\) | −9.59078 | − | 16.6117i | −0.356193 | − | 0.616944i | ||||
\(726\) | 6.10557 | + | 10.5752i | 0.226599 | + | 0.392481i | ||||
\(727\) | 46.1691 | 1.71232 | 0.856159 | − | 0.516713i | \(-0.172845\pi\) | ||||
0.856159 | + | 0.516713i | \(0.172845\pi\) | |||||||
\(728\) | −11.4668 | − | 5.74029i | −0.424989 | − | 0.212749i | ||||
\(729\) | 29.8332 | 1.10493 | ||||||||
\(730\) | −6.35634 | − | 11.0095i | −0.235259 | − | 0.407480i | ||||
\(731\) | 3.29363 | + | 5.70473i | 0.121819 | + | 0.210997i | ||||
\(732\) | −7.84759 | + | 13.5924i | −0.290055 | + | 0.502390i | ||||
\(733\) | 17.5457 | 0.648066 | 0.324033 | − | 0.946046i | \(-0.394961\pi\) | ||||
0.324033 | + | 0.946046i | \(0.394961\pi\) | |||||||
\(734\) | −1.14749 | + | 1.98750i | −0.0423545 | + | 0.0733601i | ||||
\(735\) | −3.47905 | + | 6.02589i | −0.128327 | + | 0.222268i | ||||
\(736\) | 49.7614 | 1.83423 | ||||||||
\(737\) | 20.8117 | − | 36.0470i | 0.766610 | − | 1.32781i | ||||
\(738\) | 0.0661640 | + | 0.114599i | 0.00243553 | + | 0.00421846i | ||||
\(739\) | 4.53787 | + | 7.85982i | 0.166928 | + | 0.289128i | 0.937338 | − | 0.348420i | \(-0.113282\pi\) |
−0.770410 | + | 0.637549i | \(0.779949\pi\) | |||||||
\(740\) | 37.7479 | 1.38764 | ||||||||
\(741\) | −0.949995 | − | 15.9550i | −0.0348989 | − | 0.586122i | ||||
\(742\) | 48.1287 | 1.76686 | ||||||||
\(743\) | 4.42124 | + | 7.65782i | 0.162200 | + | 0.280938i | 0.935657 | − | 0.352910i | \(-0.114808\pi\) |
−0.773458 | + | 0.633848i | \(0.781474\pi\) | |||||||
\(744\) | −0.870138 | − | 1.50712i | −0.0319008 | − | 0.0552538i | ||||
\(745\) | 3.64465 | − | 6.31273i | 0.133530 | − | 0.231280i | ||||
\(746\) | −19.8789 | −0.727819 | ||||||||
\(747\) | 3.35269 | − | 5.80702i | 0.122668 | − | 0.212468i | ||||
\(748\) | 3.07960 | − | 5.33402i | 0.112601 | − | 0.195031i | ||||
\(749\) | 28.9320 | 1.05715 | ||||||||
\(750\) | −17.7604 | + | 30.7619i | −0.648518 | + | 1.12327i | ||||
\(751\) | −11.1515 | − | 19.3150i | −0.406925 | − | 0.704815i | 0.587618 | − | 0.809138i | \(-0.300066\pi\) |
−0.994543 | + | 0.104323i | \(0.966732\pi\) | |||||||
\(752\) | 17.2734 | + | 29.9185i | 0.629897 | + | 1.09101i | ||||
\(753\) | −35.5336 | −1.29492 | ||||||||
\(754\) | 38.1680 | + | 19.1069i | 1.39000 | + | 0.695831i | ||||
\(755\) | 24.5538 | 0.893606 | ||||||||
\(756\) | −22.5411 | − | 39.0424i | −0.819814 | − | 1.41996i | ||||
\(757\) | −12.7630 | − | 22.1062i | −0.463880 | − | 0.803464i | 0.535270 | − | 0.844681i | \(-0.320210\pi\) |
−0.999150 | + | 0.0412171i | \(0.986876\pi\) | |||||||
\(758\) | −8.97720 | + | 15.5490i | −0.326067 | + | 0.564764i | ||||
\(759\) | 27.0304 | 0.981143 | ||||||||
\(760\) | 1.91162 | − | 3.31103i | 0.0693419 | − | 0.120104i | ||||
\(761\) | 14.0503 | − | 24.3358i | 0.509323 | − | 0.882173i | −0.490619 | − | 0.871374i | \(-0.663229\pi\) |
0.999942 | − | 0.0107990i | \(-0.00343750\pi\) | |||||||
\(762\) | 33.8831 | 1.22745 | ||||||||
\(763\) | 22.4673 | − | 38.9145i | 0.813370 | − | 1.40880i | ||||
\(764\) | 18.0796 | + | 31.3147i | 0.654096 | + | 1.13293i | ||||
\(765\) | −0.271227 | − | 0.469778i | −0.00980622 | − | 0.0169849i | ||||
\(766\) | 25.6358 | 0.926261 | ||||||||
\(767\) | −10.8548 | − | 5.43392i | −0.391945 | − | 0.196208i | ||||
\(768\) | −7.76133 | −0.280063 | ||||||||
\(769\) | −21.8669 | − | 37.8745i | −0.788540 | − | 1.36579i | −0.926861 | − | 0.375404i | \(-0.877504\pi\) |
0.138322 | − | 0.990387i | \(-0.455829\pi\) | |||||||
\(770\) | 11.6771 | + | 20.2254i | 0.420814 | + | 0.728871i | ||||
\(771\) | 16.4661 | − | 28.5202i | 0.593013 | − | 1.02713i | ||||
\(772\) | 17.3286 | 0.623671 | ||||||||
\(773\) | −12.2113 | + | 21.1506i | −0.439211 | + | 0.760735i | −0.997629 | − | 0.0688245i | \(-0.978075\pi\) |
0.558418 | + | 0.829560i | \(0.311408\pi\) | |||||||
\(774\) | 3.74719 | − | 6.49032i | 0.134690 | − | 0.233290i | ||||
\(775\) | −3.44334 | −0.123688 | ||||||||
\(776\) | 3.03157 | − | 5.25084i | 0.108827 | − | 0.188494i | ||||
\(777\) | −30.9332 | − | 53.5779i | −1.10972 | − | 1.92210i | ||||
\(778\) | −35.6538 | − | 61.7543i | −1.27825 | − | 2.21400i | ||||
\(779\) | 0.360593 | 0.0129196 | ||||||||
\(780\) | −1.06744 | − | 17.9275i | −0.0382205 | − | 0.641907i | ||||
\(781\) | −14.0049 | −0.501136 | ||||||||
\(782\) | 6.00538 | + | 10.4016i | 0.214752 | + | 0.371961i | ||||
\(783\) | 15.3903 | + | 26.6569i | 0.550006 | + | 0.952638i | ||||
\(784\) | 4.74748 | − | 8.22287i | 0.169553 | − | 0.293674i | ||||
\(785\) | 14.1137 | 0.503738 | ||||||||
\(786\) | −3.90682 | + | 6.76680i | −0.139351 | + | 0.241364i | ||||
\(787\) | 14.9041 | − | 25.8146i | 0.531273 | − | 0.920191i | −0.468061 | − | 0.883696i | \(-0.655047\pi\) |
0.999334 | − | 0.0364951i | \(-0.0116193\pi\) | |||||||
\(788\) | −8.13199 | −0.289690 | ||||||||
\(789\) | 2.98651 | − | 5.17279i | 0.106323 | − | 0.184156i | ||||
\(790\) | 11.2050 | + | 19.4076i | 0.398654 | + | 0.690490i | ||||
\(791\) | 8.83918 | + | 15.3099i | 0.314285 | + | 0.544357i | ||||
\(792\) | −1.43738 | −0.0510751 | ||||||||
\(793\) | −12.6753 | − | 6.34526i | −0.450114 | − | 0.225327i | ||||
\(794\) | 37.2728 | 1.32276 | ||||||||
\(795\) | 6.91315 | + | 11.9739i | 0.245184 | + | 0.424671i | ||||
\(796\) | 1.18429 | + | 2.05126i | 0.0419762 | + | 0.0727049i | ||||
\(797\) | 1.08540 | − | 1.87997i | 0.0384468 | − | 0.0665918i | −0.846162 | − | 0.532926i | \(-0.821092\pi\) |
0.884609 | + | 0.466334i | \(0.154426\pi\) | |||||||
\(798\) | −30.5477 | −1.08138 | ||||||||
\(799\) | −5.76234 | + | 9.98067i | −0.203857 | + | 0.353091i | ||||
\(800\) | 13.6604 | − | 23.6605i | 0.482968 | − | 0.836524i | ||||
\(801\) | −4.99416 | −0.176460 | ||||||||
\(802\) | 1.34360 | − | 2.32719i | 0.0474443 | − | 0.0821759i | ||||
\(803\) | 6.51197 | + | 11.2791i | 0.229802 | + | 0.398029i | ||||
\(804\) | 30.5874 | + | 52.9789i | 1.07873 | + | 1.86842i | ||||
\(805\) | −25.3734 | −0.894293 | ||||||||
\(806\) | 6.39623 | − | 4.21874i | 0.225298 | − | 0.148599i | ||||
\(807\) | −16.8954 | −0.594747 | ||||||||
\(808\) | −0.305343 | − | 0.528869i | −0.0107419 | − | 0.0186055i | ||||
\(809\) | 12.6935 | + | 21.9859i | 0.446281 | + | 0.772981i | 0.998140 | − | 0.0609558i | \(-0.0194149\pi\) |
−0.551859 | + | 0.833937i | \(0.686082\pi\) | |||||||
\(810\) | 9.70405 | − | 16.8079i | 0.340966 | − | 0.590570i | ||||
\(811\) | −9.66994 | −0.339557 | −0.169779 | − | 0.985482i | \(-0.554305\pi\) | ||||
−0.169779 | + | 0.985482i | \(0.554305\pi\) | |||||||
\(812\) | 22.7251 | − | 39.3611i | 0.797495 | − | 1.38130i | ||||
\(813\) | 5.68791 | − | 9.85176i | 0.199484 | − | 0.345516i | ||||
\(814\) | −69.4117 | −2.43288 | ||||||||
\(815\) | −5.48092 | + | 9.49324i | −0.191988 | + | 0.332534i | ||||
\(816\) | −1.93132 | − | 3.34515i | −0.0676098 | − | 0.117104i | ||||
\(817\) | −10.2111 | − | 17.6861i | −0.357240 | − | 0.618759i | ||||
\(818\) | −30.3507 | −1.06119 | ||||||||
\(819\) | 4.70869 | − | 3.10569i | 0.164535 | − | 0.108522i | ||||
\(820\) | 0.405172 | 0.0141492 | ||||||||
\(821\) | −5.64426 | − | 9.77615i | −0.196986 | − | 0.341190i | 0.750564 | − | 0.660798i | \(-0.229782\pi\) |
−0.947550 | + | 0.319608i | \(0.896449\pi\) | |||||||
\(822\) | 24.1133 | + | 41.7655i | 0.841050 | + | 1.45674i | ||||
\(823\) | 13.4783 | − | 23.3450i | 0.469823 | − | 0.813757i | −0.529582 | − | 0.848259i | \(-0.677651\pi\) |
0.999405 | + | 0.0345021i | \(0.0109845\pi\) | |||||||
\(824\) | 4.68469 | 0.163199 | ||||||||
\(825\) | 7.42033 | − | 12.8524i | 0.258343 | − | 0.447463i | ||||
\(826\) | −11.6002 | + | 20.0921i | −0.403622 | + | 0.699093i | ||||
\(827\) | −52.0112 | −1.80861 | −0.904303 | − | 0.426891i | \(-0.859609\pi\) | ||||
−0.904303 | + | 0.426891i | \(0.859609\pi\) | |||||||
\(828\) | 3.80660 | − | 6.59322i | 0.132288 | − | 0.229130i | ||||
\(829\) | −2.44236 | − | 4.23029i | −0.0848267 | − | 0.146924i | 0.820491 | − | 0.571660i | \(-0.193700\pi\) |
−0.905317 | + | 0.424736i | \(0.860367\pi\) | |||||||
\(830\) | −18.4253 | − | 31.9136i | −0.639553 | − | 1.10774i | ||||
\(831\) | −6.28302 | −0.217956 | ||||||||
\(832\) | 2.45563 | + | 41.2419i | 0.0851335 | + | 1.42980i | ||||
\(833\) | 3.16748 | 0.109747 | ||||||||
\(834\) | −4.70247 | − | 8.14492i | −0.162833 | − | 0.282036i | ||||
\(835\) | −5.16657 | − | 8.94876i | −0.178796 | − | 0.309685i | ||||
\(836\) | −9.54753 | + | 16.5368i | −0.330208 | + | 0.571938i | ||||
\(837\) | 5.52553 | 0.190990 | ||||||||
\(838\) | 32.1328 | − | 55.6557i | 1.11001 | − | 1.92259i | ||||
\(839\) | 20.8862 | − | 36.1760i | 0.721072 | − | 1.24893i | −0.239499 | − | 0.970897i | \(-0.576983\pi\) |
0.960571 | − | 0.278036i | \(-0.0896836\pi\) | |||||||
\(840\) | −7.04071 | −0.242928 | ||||||||
\(841\) | −1.01595 | + | 1.75968i | −0.0350328 | + | 0.0606786i | ||||
\(842\) | 31.5782 | + | 54.6950i | 1.08826 | + | 1.88492i | ||||
\(843\) | −9.29676 | − | 16.1025i | −0.320198 | − | 0.554598i | ||||
\(844\) | 28.6953 | 0.987732 | ||||||||
\(845\) | 16.1050 | − | 1.92467i | 0.554029 | − | 0.0662108i | ||||
\(846\) | 13.1117 | 0.450791 | ||||||||
\(847\) | 5.87160 | + | 10.1699i | 0.201750 | + | 0.349442i | ||||
\(848\) | −9.43361 | − | 16.3395i | −0.323952 | − | 0.561101i | ||||
\(849\) | 5.93600 | − | 10.2815i | 0.203723 | − | 0.352859i | ||||
\(850\) | 6.59433 | 0.226184 | ||||||||
\(851\) | 37.7064 | − | 65.3094i | 1.29256 | − | 2.23878i | ||||
\(852\) | 10.2917 | − | 17.8257i | 0.352586 | − | 0.610698i | ||||
\(853\) | −5.74115 | −0.196573 | −0.0982867 | − | 0.995158i | \(-0.531336\pi\) | ||||
−0.0982867 | + | 0.995158i | \(0.531336\pi\) | |||||||
\(854\) | −13.5457 | + | 23.4618i | −0.463523 | + | 0.802846i | ||||
\(855\) | 0.840871 | + | 1.45643i | 0.0287572 | + | 0.0498089i | ||||
\(856\) | 4.89302 | + | 8.47496i | 0.167240 | + | 0.289668i | ||||
\(857\) | 41.4949 | 1.41744 | 0.708719 | − | 0.705491i | \(-0.249274\pi\) | ||||
0.708719 | + | 0.705491i | \(0.249274\pi\) | |||||||
\(858\) | 1.96283 | + | 32.9655i | 0.0670100 | + | 1.12542i | ||||
\(859\) | 39.9628 | 1.36351 | 0.681757 | − | 0.731579i | \(-0.261216\pi\) | ||||
0.681757 | + | 0.731579i | \(0.261216\pi\) | |||||||
\(860\) | −11.4734 | − | 19.8726i | −0.391241 | − | 0.677649i | ||||
\(861\) | −0.332026 | − | 0.575086i | −0.0113154 | − | 0.0195989i | ||||
\(862\) | −5.61131 | + | 9.71907i | −0.191122 | + | 0.331033i | ||||
\(863\) | 27.6874 | 0.942491 | 0.471246 | − | 0.882002i | \(-0.343805\pi\) | ||||
0.471246 | + | 0.882002i | \(0.343805\pi\) | |||||||
\(864\) | −21.9208 | + | 37.9680i | −0.745762 | + | 1.29170i | ||||
\(865\) | −5.38099 | + | 9.32014i | −0.182959 | + | 0.316894i | ||||
\(866\) | 38.6412 | 1.31308 | ||||||||
\(867\) | −12.8425 | + | 22.2438i | −0.436153 | + | 0.755440i | ||||
\(868\) | −4.07945 | − | 7.06582i | −0.138466 | − | 0.239830i | ||||
\(869\) | −11.4793 | − | 19.8827i | −0.389409 | − | 0.674476i | ||||
\(870\) | 23.4354 | 0.794534 | ||||||||
\(871\) | −46.1206 | + | 30.4196i | −1.56274 | + | 1.03073i | ||||
\(872\) | 15.1988 | 0.514696 | ||||||||
\(873\) | 1.33351 | + | 2.30970i | 0.0451323 | + | 0.0781715i | ||||
\(874\) | −18.6182 | − | 32.2477i | −0.629770 | − | 1.09079i | ||||
\(875\) | −17.0798 | + | 29.5831i | −0.577402 | + | 1.00009i | ||||
\(876\) | −19.1415 | −0.646732 | ||||||||
\(877\) | 18.7013 | − | 32.3917i | 0.631500 | − | 1.09379i | −0.355746 | − | 0.934583i | \(-0.615773\pi\) |
0.987245 | − | 0.159206i | \(-0.0508936\pi\) | |||||||
\(878\) | 35.9809 | − | 62.3207i | 1.21430 | − | 2.10322i | ||||
\(879\) | −13.8641 | −0.467624 | ||||||||
\(880\) | 4.57762 | − | 7.92867i | 0.154312 | − | 0.267275i | ||||
\(881\) | −15.4397 | − | 26.7423i | −0.520176 | − | 0.900970i | −0.999725 | − | 0.0234555i | \(-0.992533\pi\) |
0.479549 | − | 0.877515i | \(-0.340800\pi\) | |||||||
\(882\) | −1.80183 | − | 3.12087i | −0.0606708 | − | 0.105085i | ||||
\(883\) | 29.3210 | 0.986730 | 0.493365 | − | 0.869822i | \(-0.335767\pi\) | ||||
0.493365 | + | 0.869822i | \(0.335767\pi\) | |||||||
\(884\) | −6.82465 | + | 4.50131i | −0.229538 | + | 0.151395i | ||||
\(885\) | −6.66494 | −0.224039 | ||||||||
\(886\) | −23.2216 | − | 40.2210i | −0.780144 | − | 1.35125i | ||||
\(887\) | −27.6258 | − | 47.8493i | −0.927584 | − | 1.60662i | −0.787352 | − | 0.616504i | \(-0.788548\pi\) |
−0.140232 | − | 0.990119i | \(-0.544785\pi\) | |||||||
\(888\) | 10.4629 | − | 18.1223i | 0.351113 | − | 0.608145i | ||||
\(889\) | 32.5846 | 1.09285 | ||||||||
\(890\) | −13.7232 | + | 23.7693i | −0.460003 | + | 0.796748i | ||||
\(891\) | −9.94165 | + | 17.2194i | −0.333058 | + | 0.576873i | ||||
\(892\) | −17.4949 | −0.585771 | ||||||||
\(893\) | 17.8647 | − | 30.9426i | 0.597820 | − | 1.03545i | ||||
\(894\) | −9.84987 | − | 17.0605i | −0.329429 | − | 0.570588i | ||||
\(895\) | −11.9055 | − | 20.6209i | −0.397956 | − | 0.689280i | ||||
\(896\) | 27.5051 | 0.918883 | ||||||||
\(897\) | −32.0834 | − | 16.0609i | −1.07123 | − | 0.536259i | ||||
\(898\) | −83.3307 | −2.78078 | ||||||||
\(899\) | 2.78531 | + | 4.82431i | 0.0928954 | + | 0.160900i | ||||
\(900\) | −2.08996 | − | 3.61991i | −0.0696652 | − | 0.120664i | ||||
\(901\) | 3.14701 | − | 5.45079i | 0.104842 | − | 0.181592i | ||||
\(902\) | −0.745040 | −0.0248071 | ||||||||
\(903\) | −18.8042 | + | 32.5699i | −0.625766 | + | 1.08386i | ||||
\(904\) | −2.98979 | + | 5.17846i | −0.0994388 | + | 0.172233i | ||||
\(905\) | 27.1033 | 0.900944 | ||||||||
\(906\) | 33.1790 | − | 57.4678i | 1.10230 | − | 1.90924i | ||||
\(907\) | −14.7965 | − | 25.6283i | −0.491311 | − | 0.850975i | 0.508639 | − | 0.860980i | \(-0.330149\pi\) |
−0.999950 | + | 0.0100045i | \(0.996815\pi\) | |||||||
\(908\) | 24.4942 | + | 42.4252i | 0.812868 | + | 1.40793i | ||||
\(909\) | 0.268624 | 0.00890969 | ||||||||
\(910\) | −1.84250 | − | 30.9445i | −0.0610783 | − | 1.02580i | ||||
\(911\) | 50.8154 | 1.68359 | 0.841795 | − | 0.539797i | \(-0.181499\pi\) | ||||
0.841795 | + | 0.539797i | \(0.181499\pi\) | |||||||
\(912\) | 5.98759 | + | 10.3708i | 0.198269 | + | 0.343412i | ||||
\(913\) | 18.8765 | + | 32.6950i | 0.624720 | + | 1.08205i | ||||
\(914\) | −22.9311 | + | 39.7178i | −0.758494 | + | 1.31375i | ||||
\(915\) | −7.78274 | −0.257289 | ||||||||
\(916\) | 8.52886 | − | 14.7724i | 0.281801 | − | 0.488094i | ||||
\(917\) | −3.75710 | + | 6.50749i | −0.124070 | + | 0.214896i | ||||
\(918\) | −10.5819 | −0.349256 | ||||||||
\(919\) | 10.2516 | − | 17.7564i | 0.338170 | − | 0.585728i | −0.645918 | − | 0.763407i | \(-0.723525\pi\) |
0.984089 | + | 0.177678i | \(0.0568587\pi\) | |||||||
\(920\) | −4.29118 | − | 7.43254i | −0.141476 | − | 0.245043i | ||||
\(921\) | 18.5943 | + | 32.2062i | 0.612702 | + | 1.06123i | ||||
\(922\) | −35.4284 | −1.16677 | ||||||||
\(923\) | 16.6230 | + | 8.32145i | 0.547152 | + | 0.273904i | ||||
\(924\) | 35.1646 | 1.15683 | ||||||||
\(925\) | −20.7021 | − | 35.8571i | −0.680682 | − | 1.17898i | ||||
\(926\) | −8.39248 | − | 14.5362i | −0.275794 | − | 0.477689i | ||||
\(927\) | −1.03033 | + | 1.78459i | −0.0338406 | + | 0.0586137i | ||||
\(928\) | −44.1995 | −1.45092 | ||||||||
\(929\) | −16.4580 | + | 28.5061i | −0.539970 | + | 0.935256i | 0.458935 | + | 0.888470i | \(0.348231\pi\) |
−0.998905 | + | 0.0467859i | \(0.985102\pi\) | |||||||
\(930\) | 2.10348 | − | 3.64333i | 0.0689758 | − | 0.119470i | ||||
\(931\) | −9.81998 | −0.321837 | ||||||||
\(932\) | −18.4699 | + | 31.9908i | −0.605001 | + | 1.04789i | ||||
\(933\) | 8.77188 | + | 15.1933i | 0.287178 | + | 0.497407i | ||||
\(934\) | 8.66172 | + | 15.0025i | 0.283420 | + | 0.490898i | ||||
\(935\) | 3.05415 | 0.0998814 | ||||||||
\(936\) | 1.70608 | + | 0.854062i | 0.0557649 | + | 0.0279159i | ||||
\(937\) | −13.5194 | −0.441659 | −0.220829 | − | 0.975312i | \(-0.570876\pi\) | ||||
−0.220829 | + | 0.975312i | \(0.570876\pi\) | |||||||
\(938\) | 52.7967 | + | 91.4466i | 1.72387 | + | 2.98584i | ||||
\(939\) | 26.9454 | + | 46.6709i | 0.879331 | + | 1.52305i | ||||
\(940\) | 20.0733 | − | 34.7679i | 0.654718 | − | 1.13401i | ||||
\(941\) | 14.1855 | 0.462434 | 0.231217 | − | 0.972902i | \(-0.425729\pi\) | ||||
0.231217 | + | 0.972902i | \(0.425729\pi\) | |||||||
\(942\) | 19.0715 | − | 33.0328i | 0.621382 | − | 1.07627i | ||||
\(943\) | 0.404727 | − | 0.701007i | 0.0131797 | − | 0.0228279i | ||||
\(944\) | 9.09491 | 0.296014 | ||||||||
\(945\) | 11.1774 | − | 19.3599i | 0.363602 | − | 0.629777i | ||||
\(946\) | 21.0976 | + | 36.5422i | 0.685943 | + | 1.18809i | ||||
\(947\) | 22.4378 | + | 38.8634i | 0.729130 | + | 1.26289i | 0.957251 | + | 0.289257i | \(0.0934083\pi\) |
−0.228122 | + | 0.973633i | \(0.573258\pi\) | |||||||
\(948\) | 33.7427 | 1.09591 | ||||||||
\(949\) | −1.02751 | − | 17.2568i | −0.0333543 | − | 0.560180i | ||||
\(950\) | −20.4441 | −0.663294 | ||||||||
\(951\) | 13.8269 | + | 23.9490i | 0.448369 | + | 0.776598i | ||||
\(952\) | 1.60254 | + | 2.77568i | 0.0519387 | + | 0.0899604i | ||||
\(953\) | −13.8506 | + | 23.9899i | −0.448665 | + | 0.777111i | −0.998299 | − | 0.0582947i | \(-0.981434\pi\) |
0.549634 | + | 0.835405i | \(0.314767\pi\) | |||||||
\(954\) | −7.16077 | −0.231838 | ||||||||
\(955\) | −8.96509 | + | 15.5280i | −0.290103 | + | 0.502474i | ||||
\(956\) | −3.57541 | + | 6.19279i | −0.115637 | + | 0.200289i | ||||
\(957\) | −24.0092 | −0.776107 | ||||||||
\(958\) | −41.0862 | + | 71.1634i | −1.32744 | + | 2.29919i | ||||
\(959\) | 23.1893 | + | 40.1650i | 0.748821 | + | 1.29700i | ||||
\(960\) | 11.3420 | + | 19.6450i | 0.366062 | + | 0.634039i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | 82.3873 | + | 41.2430i | 2.65627 | + | 1.32973i | ||||
\(963\) | −4.30461 | −0.138714 | ||||||||
\(964\) | −36.3795 | − | 63.0112i | −1.17171 | − | 2.02945i | ||||
\(965\) | 4.29636 | + | 7.44151i | 0.138305 | + | 0.239551i | ||||
\(966\) | −34.2864 | + | 59.3858i | −1.10315 | + | 1.91071i | ||||
\(967\) | 57.2301 | 1.84040 | 0.920198 | − | 0.391454i | \(-0.128028\pi\) | ||||
0.920198 | + | 0.391454i | \(0.128028\pi\) | |||||||
\(968\) | −1.98602 | + | 3.43990i | −0.0638332 | + | 0.110562i | ||||
\(969\) | −1.99743 | + | 3.45966i | −0.0641668 | + | 0.111140i | ||||
\(970\) | 14.6571 | 0.470611 | ||||||||
\(971\) | 6.76148 | − | 11.7112i | 0.216986 | − | 0.375831i | −0.736899 | − | 0.676003i | \(-0.763711\pi\) |
0.953885 | + | 0.300172i | \(0.0970440\pi\) | |||||||
\(972\) | 6.24289 | + | 10.8130i | 0.200241 | + | 0.346827i | ||||
\(973\) | −4.52227 | − | 7.83280i | −0.144977 | − | 0.251108i | ||||
\(974\) | −80.3736 | −2.57534 | ||||||||
\(975\) | −16.4441 | + | 10.8460i | −0.526633 | + | 0.347349i | ||||
\(976\) | 10.6202 | 0.339946 | ||||||||
\(977\) | −4.83532 | − | 8.37503i | −0.154696 | − | 0.267941i | 0.778252 | − | 0.627952i | \(-0.216106\pi\) |
−0.932948 | + | 0.360011i | \(0.882773\pi\) | |||||||
\(978\) | 14.8125 | + | 25.6560i | 0.473651 | + | 0.820388i | ||||
\(979\) | 14.0592 | − | 24.3513i | 0.449334 | − | 0.778270i | ||||
\(980\) | −11.0340 | −0.352468 | ||||||||
\(981\) | −3.34277 | + | 5.78984i | −0.106726 | + | 0.184855i | ||||
\(982\) | 15.1649 | − | 26.2664i | 0.483931 | − | 0.838194i | ||||
\(983\) | 32.5285 | 1.03750 | 0.518750 | − | 0.854926i | \(-0.326398\pi\) | ||||
0.518750 | + | 0.854926i | \(0.326398\pi\) | |||||||
\(984\) | 0.112305 | − | 0.194519i | 0.00358016 | − | 0.00620103i | ||||
\(985\) | −2.01620 | − | 3.49216i | −0.0642414 | − | 0.111269i | ||||
\(986\) | −5.33415 | − | 9.23902i | −0.169874 | − | 0.294230i | ||||
\(987\) | −65.7977 | −2.09436 | ||||||||
\(988\) | 21.1582 | − | 13.9552i | 0.673131 | − | 0.443974i | ||||
\(989\) | −45.8433 | −1.45773 | ||||||||
\(990\) | −1.73737 | − | 3.00921i | −0.0552171 | − | 0.0956388i | ||||
\(991\) | −13.0365 | − | 22.5798i | −0.414117 | − | 0.717271i | 0.581218 | − | 0.813748i | \(-0.302576\pi\) |
−0.995335 | + | 0.0964762i | \(0.969243\pi\) | |||||||
\(992\) | −3.96719 | + | 6.87138i | −0.125958 | + | 0.218166i | ||||
\(993\) | −20.4347 | −0.648474 | ||||||||
\(994\) | 17.7644 | − | 30.7688i | 0.563452 | − | 0.975927i | ||||
\(995\) | −0.587254 | + | 1.01715i | −0.0186172 | + | 0.0322460i | ||||
\(996\) | −55.4862 | −1.75815 | ||||||||
\(997\) | −22.6944 | + | 39.3079i | −0.718740 | + | 1.24489i | 0.242759 | + | 0.970087i | \(0.421947\pi\) |
−0.961499 | + | 0.274807i | \(0.911386\pi\) | |||||||
\(998\) | 18.5722 | + | 32.1679i | 0.587891 | + | 1.01826i | ||||
\(999\) | 33.2207 | + | 57.5400i | 1.05106 | + | 1.82048i |
(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 | 403.2.f.c.94.16 | ✓ | 36 | |
13.3 | even | 3 | 5239.2.a.p.1.3 | 18 | |||
13.9 | even | 3 | inner | 403.2.f.c.373.16 | yes | 36 | |
13.10 | even | 6 | 5239.2.a.o.1.16 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.f.c.94.16 | ✓ | 36 | 1.1 | even | 1 | trivial | |
403.2.f.c.373.16 | yes | 36 | 13.9 | even | 3 | inner | |
5239.2.a.o.1.16 | 18 | 13.10 | even | 6 | |||
5239.2.a.p.1.3 | 18 | 13.3 | even | 3 |