Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(827,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.827");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.h (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 827.13 | ||
Character | \(\chi\) | \(=\) | 966.827 |
Dual form | 966.2.h.b.827.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | −1.69648 | + | 0.349201i | −0.979466 | + | 0.201611i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −1.62492 | −0.726688 | −0.363344 | − | 0.931655i | \(-0.618365\pi\) | ||||
−0.363344 | + | 0.931655i | \(0.618365\pi\) | |||||||
\(6\) | −0.349201 | − | 1.69648i | −0.142561 | − | 0.692587i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.75612 | − | 1.18483i | 0.918706 | − | 0.394942i | ||||
\(10\) | − | 1.62492i | − | 0.513846i | ||||||
\(11\) | 3.65827 | 1.10301 | 0.551505 | − | 0.834171i | \(-0.314054\pi\) | ||||
0.551505 | + | 0.834171i | \(0.314054\pi\) | |||||||
\(12\) | 1.69648 | − | 0.349201i | 0.489733 | − | 0.100806i | ||||
\(13\) | 0.597342 | 0.165673 | 0.0828364 | − | 0.996563i | \(-0.473602\pi\) | ||||
0.0828364 | + | 0.996563i | \(0.473602\pi\) | |||||||
\(14\) | −1.00000 | −0.267261 | ||||||||
\(15\) | 2.75666 | − | 0.567425i | 0.711766 | − | 0.146508i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.33518 | 0.808899 | 0.404449 | − | 0.914560i | \(-0.367463\pi\) | ||||
0.404449 | + | 0.914560i | \(0.367463\pi\) | |||||||
\(18\) | 1.18483 | + | 2.75612i | 0.279266 | + | 0.649623i | ||||
\(19\) | − | 0.263613i | − | 0.0604770i | −0.999543 | − | 0.0302385i | \(-0.990373\pi\) | ||
0.999543 | − | 0.0302385i | \(-0.00962668\pi\) | |||||||
\(20\) | 1.62492 | 0.363344 | ||||||||
\(21\) | −0.349201 | − | 1.69648i | −0.0762018 | − | 0.370203i | ||||
\(22\) | 3.65827i | 0.779946i | ||||||||
\(23\) | 3.04755 | + | 3.70303i | 0.635458 | + | 0.772136i | ||||
\(24\) | 0.349201 | + | 1.69648i | 0.0712803 | + | 0.346293i | ||||
\(25\) | −2.35962 | −0.471924 | ||||||||
\(26\) | 0.597342i | 0.117148i | ||||||||
\(27\) | −4.26197 | + | 2.97248i | −0.820216 | + | 0.572054i | ||||
\(28\) | − | 1.00000i | − | 0.188982i | ||||||
\(29\) | 1.04785i | 0.194581i | 0.995256 | + | 0.0972903i | \(0.0310175\pi\) | ||||
−0.995256 | + | 0.0972903i | \(0.968982\pi\) | |||||||
\(30\) | 0.567425 | + | 2.75666i | 0.103597 | + | 0.503295i | ||||
\(31\) | −8.47884 | −1.52284 | −0.761422 | − | 0.648256i | \(-0.775499\pi\) | ||||
−0.761422 | + | 0.648256i | \(0.775499\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −6.20620 | + | 1.27747i | −1.08036 | + | 0.222379i | ||||
\(34\) | 3.33518i | 0.571978i | ||||||||
\(35\) | − | 1.62492i | − | 0.274662i | ||||||
\(36\) | −2.75612 | + | 1.18483i | −0.459353 | + | 0.197471i | ||||
\(37\) | 7.11484i | 1.16967i | 0.811151 | + | 0.584836i | \(0.198841\pi\) | ||||
−0.811151 | + | 0.584836i | \(0.801159\pi\) | |||||||
\(38\) | 0.263613 | 0.0427637 | ||||||||
\(39\) | −1.01338 | + | 0.208592i | −0.162271 | + | 0.0334015i | ||||
\(40\) | 1.62492i | 0.256923i | ||||||||
\(41\) | − | 5.26088i | − | 0.821611i | −0.911723 | − | 0.410806i | \(-0.865247\pi\) | ||
0.911723 | − | 0.410806i | \(-0.134753\pi\) | |||||||
\(42\) | 1.69648 | − | 0.349201i | 0.261773 | − | 0.0538828i | ||||
\(43\) | − | 0.223081i | − | 0.0340196i | −0.999855 | − | 0.0170098i | \(-0.994585\pi\) | ||
0.999855 | − | 0.0170098i | \(-0.00541464\pi\) | |||||||
\(44\) | −3.65827 | −0.551505 | ||||||||
\(45\) | −4.47848 | + | 1.92525i | −0.667613 | + | 0.287000i | ||||
\(46\) | −3.70303 | + | 3.04755i | −0.545982 | + | 0.449337i | ||||
\(47\) | 5.31374i | 0.775089i | 0.921851 | + | 0.387545i | \(0.126677\pi\) | ||||
−0.921851 | + | 0.387545i | \(0.873323\pi\) | |||||||
\(48\) | −1.69648 | + | 0.349201i | −0.244866 | + | 0.0504028i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | − | 2.35962i | − | 0.333701i | ||||||
\(51\) | −5.65807 | + | 1.16465i | −0.792289 | + | 0.163083i | ||||
\(52\) | −0.597342 | −0.0828364 | ||||||||
\(53\) | 4.55315 | 0.625423 | 0.312712 | − | 0.949848i | \(-0.398763\pi\) | ||||
0.312712 | + | 0.949848i | \(0.398763\pi\) | |||||||
\(54\) | −2.97248 | − | 4.26197i | −0.404503 | − | 0.579980i | ||||
\(55\) | −5.94442 | −0.801545 | ||||||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | 0.0920539 | + | 0.447216i | 0.0121928 | + | 0.0592352i | ||||
\(58\) | −1.04785 | −0.137589 | ||||||||
\(59\) | 6.54561i | 0.852166i | 0.904684 | + | 0.426083i | \(0.140107\pi\) | ||||
−0.904684 | + | 0.426083i | \(0.859893\pi\) | |||||||
\(60\) | −2.75666 | + | 0.567425i | −0.355883 | + | 0.0732542i | ||||
\(61\) | 8.08845i | 1.03562i | 0.855496 | + | 0.517810i | \(0.173253\pi\) | ||||
−0.855496 | + | 0.517810i | \(0.826747\pi\) | |||||||
\(62\) | − | 8.47884i | − | 1.07681i | ||||||
\(63\) | 1.18483 | + | 2.75612i | 0.149274 | + | 0.347238i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.970636 | −0.120393 | ||||||||
\(66\) | −1.27747 | − | 6.20620i | −0.157246 | − | 0.763931i | ||||
\(67\) | 12.2795i | 1.50018i | 0.661335 | + | 0.750090i | \(0.269990\pi\) | ||||
−0.661335 | + | 0.750090i | \(0.730010\pi\) | |||||||
\(68\) | −3.33518 | −0.404449 | ||||||||
\(69\) | −6.46322 | − | 5.21793i | −0.778080 | − | 0.628165i | ||||
\(70\) | 1.62492 | 0.194216 | ||||||||
\(71\) | − | 3.11022i | − | 0.369116i | −0.982822 | − | 0.184558i | \(-0.940915\pi\) | ||
0.982822 | − | 0.184558i | \(-0.0590853\pi\) | |||||||
\(72\) | −1.18483 | − | 2.75612i | −0.139633 | − | 0.324812i | ||||
\(73\) | −7.94212 | −0.929554 | −0.464777 | − | 0.885428i | \(-0.653866\pi\) | ||||
−0.464777 | + | 0.885428i | \(0.653866\pi\) | |||||||
\(74\) | −7.11484 | −0.827084 | ||||||||
\(75\) | 4.00306 | − | 0.823981i | 0.462233 | − | 0.0951451i | ||||
\(76\) | 0.263613i | 0.0302385i | ||||||||
\(77\) | 3.65827i | 0.416899i | ||||||||
\(78\) | −0.208592 | − | 1.01338i | −0.0236184 | − | 0.114743i | ||||
\(79\) | 8.69069i | 0.977779i | 0.872346 | + | 0.488889i | \(0.162598\pi\) | ||||
−0.872346 | + | 0.488889i | \(0.837402\pi\) | |||||||
\(80\) | −1.62492 | −0.181672 | ||||||||
\(81\) | 6.19237 | − | 6.53104i | 0.688041 | − | 0.725672i | ||||
\(82\) | 5.26088 | 0.580967 | ||||||||
\(83\) | 8.43427 | 0.925782 | 0.462891 | − | 0.886415i | \(-0.346812\pi\) | ||||
0.462891 | + | 0.886415i | \(0.346812\pi\) | |||||||
\(84\) | 0.349201 | + | 1.69648i | 0.0381009 | + | 0.185102i | ||||
\(85\) | −5.41941 | −0.587817 | ||||||||
\(86\) | 0.223081 | 0.0240555 | ||||||||
\(87\) | −0.365909 | − | 1.77766i | −0.0392296 | − | 0.190585i | ||||
\(88\) | − | 3.65827i | − | 0.389973i | ||||||
\(89\) | −7.18930 | −0.762065 | −0.381032 | − | 0.924562i | \(-0.624431\pi\) | ||||
−0.381032 | + | 0.924562i | \(0.624431\pi\) | |||||||
\(90\) | −1.92525 | − | 4.47848i | −0.202940 | − | 0.472074i | ||||
\(91\) | 0.597342i | 0.0626185i | ||||||||
\(92\) | −3.04755 | − | 3.70303i | −0.317729 | − | 0.386068i | ||||
\(93\) | 14.3842 | − | 2.96082i | 1.49157 | − | 0.307022i | ||||
\(94\) | −5.31374 | −0.548071 | ||||||||
\(95\) | 0.428351i | 0.0439479i | ||||||||
\(96\) | −0.349201 | − | 1.69648i | −0.0356401 | − | 0.173147i | ||||
\(97\) | − | 11.3472i | − | 1.15213i | −0.817404 | − | 0.576065i | \(-0.804587\pi\) | ||
0.817404 | − | 0.576065i | \(-0.195413\pi\) | |||||||
\(98\) | − | 1.00000i | − | 0.101015i | ||||||
\(99\) | 10.0826 | − | 4.33442i | 1.01334 | − | 0.435625i | ||||
\(100\) | 2.35962 | 0.235962 | ||||||||
\(101\) | 1.42782i | 0.142073i | 0.997474 | + | 0.0710367i | \(0.0226307\pi\) | ||||
−0.997474 | + | 0.0710367i | \(0.977369\pi\) | |||||||
\(102\) | −1.16465 | − | 5.65807i | −0.115317 | − | 0.560233i | ||||
\(103\) | 7.25192i | 0.714553i | 0.933999 | + | 0.357276i | \(0.116295\pi\) | ||||
−0.933999 | + | 0.357276i | \(0.883705\pi\) | |||||||
\(104\) | − | 0.597342i | − | 0.0585742i | ||||||
\(105\) | 0.567425 | + | 2.75666i | 0.0553750 | + | 0.269022i | ||||
\(106\) | 4.55315i | 0.442241i | ||||||||
\(107\) | 19.0320 | 1.83989 | 0.919946 | − | 0.392045i | \(-0.128232\pi\) | ||||
0.919946 | + | 0.392045i | \(0.128232\pi\) | |||||||
\(108\) | 4.26197 | − | 2.97248i | 0.410108 | − | 0.286027i | ||||
\(109\) | 3.88879i | 0.372478i | 0.982504 | + | 0.186239i | \(0.0596299\pi\) | ||||
−0.982504 | + | 0.186239i | \(0.940370\pi\) | |||||||
\(110\) | − | 5.94442i | − | 0.566778i | ||||||
\(111\) | −2.48451 | − | 12.0702i | −0.235819 | − | 1.14565i | ||||
\(112\) | 1.00000i | 0.0944911i | ||||||||
\(113\) | −15.7843 | −1.48487 | −0.742433 | − | 0.669921i | \(-0.766328\pi\) | ||||
−0.742433 | + | 0.669921i | \(0.766328\pi\) | |||||||
\(114\) | −0.447216 | + | 0.0920539i | −0.0418856 | + | 0.00862164i | ||||
\(115\) | −4.95204 | − | 6.01715i | −0.461780 | − | 0.561102i | ||||
\(116\) | − | 1.04785i | − | 0.0972903i | ||||||
\(117\) | 1.64635 | − | 0.707747i | 0.152205 | − | 0.0654312i | ||||
\(118\) | −6.54561 | −0.602573 | ||||||||
\(119\) | 3.33518i | 0.305735i | ||||||||
\(120\) | −0.567425 | − | 2.75666i | −0.0517985 | − | 0.251647i | ||||
\(121\) | 2.38296 | 0.216632 | ||||||||
\(122\) | −8.08845 | −0.732294 | ||||||||
\(123\) | 1.83710 | + | 8.92500i | 0.165646 | + | 0.804740i | ||||
\(124\) | 8.47884 | 0.761422 | ||||||||
\(125\) | 11.9588 | 1.06963 | ||||||||
\(126\) | −2.75612 | + | 1.18483i | −0.245534 | + | 0.105553i | ||||
\(127\) | 8.20558 | 0.728128 | 0.364064 | − | 0.931374i | \(-0.381389\pi\) | ||||
0.364064 | + | 0.931374i | \(0.381389\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 0.0779001 | + | 0.378454i | 0.00685872 | + | 0.0333210i | ||||
\(130\) | − | 0.970636i | − | 0.0851304i | ||||||
\(131\) | 15.5346i | 1.35726i | 0.734479 | + | 0.678631i | \(0.237427\pi\) | ||||
−0.734479 | + | 0.678631i | \(0.762573\pi\) | |||||||
\(132\) | 6.20620 | − | 1.27747i | 0.540181 | − | 0.111190i | ||||
\(133\) | 0.263613 | 0.0228582 | ||||||||
\(134\) | −12.2795 | −1.06079 | ||||||||
\(135\) | 6.92538 | − | 4.83005i | 0.596042 | − | 0.415705i | ||||
\(136\) | − | 3.33518i | − | 0.285989i | ||||||
\(137\) | −2.46513 | −0.210610 | −0.105305 | − | 0.994440i | \(-0.533582\pi\) | ||||
−0.105305 | + | 0.994440i | \(0.533582\pi\) | |||||||
\(138\) | 5.21793 | − | 6.46322i | 0.444180 | − | 0.550186i | ||||
\(139\) | −18.8869 | −1.60197 | −0.800983 | − | 0.598688i | \(-0.795689\pi\) | ||||
−0.800983 | + | 0.598688i | \(0.795689\pi\) | |||||||
\(140\) | 1.62492i | 0.137331i | ||||||||
\(141\) | −1.85556 | − | 9.01468i | −0.156267 | − | 0.759173i | ||||
\(142\) | 3.11022 | 0.261004 | ||||||||
\(143\) | 2.18524 | 0.182739 | ||||||||
\(144\) | 2.75612 | − | 1.18483i | 0.229676 | − | 0.0987355i | ||||
\(145\) | − | 1.70267i | − | 0.141399i | ||||||
\(146\) | − | 7.94212i | − | 0.657294i | ||||||
\(147\) | 1.69648 | − | 0.349201i | 0.139924 | − | 0.0288016i | ||||
\(148\) | − | 7.11484i | − | 0.584836i | ||||||
\(149\) | 5.09636 | 0.417510 | 0.208755 | − | 0.977968i | \(-0.433059\pi\) | ||||
0.208755 | + | 0.977968i | \(0.433059\pi\) | |||||||
\(150\) | 0.823981 | + | 4.00306i | 0.0672778 | + | 0.326848i | ||||
\(151\) | 20.4166 | 1.66148 | 0.830740 | − | 0.556661i | \(-0.187918\pi\) | ||||
0.830740 | + | 0.556661i | \(0.187918\pi\) | |||||||
\(152\) | −0.263613 | −0.0213819 | ||||||||
\(153\) | 9.19214 | − | 3.95160i | 0.743140 | − | 0.319468i | ||||
\(154\) | −3.65827 | −0.294792 | ||||||||
\(155\) | 13.7775 | 1.10663 | ||||||||
\(156\) | 1.01338 | − | 0.208592i | 0.0811354 | − | 0.0167007i | ||||
\(157\) | − | 17.2300i | − | 1.37510i | −0.726135 | − | 0.687552i | \(-0.758685\pi\) | ||
0.726135 | − | 0.687552i | \(-0.241315\pi\) | |||||||
\(158\) | −8.69069 | −0.691394 | ||||||||
\(159\) | −7.72435 | + | 1.58996i | −0.612581 | + | 0.126092i | ||||
\(160\) | − | 1.62492i | − | 0.128462i | ||||||
\(161\) | −3.70303 | + | 3.04755i | −0.291840 | + | 0.240181i | ||||
\(162\) | 6.53104 | + | 6.19237i | 0.513127 | + | 0.486519i | ||||
\(163\) | −7.47733 | −0.585670 | −0.292835 | − | 0.956163i | \(-0.594599\pi\) | ||||
−0.292835 | + | 0.956163i | \(0.594599\pi\) | |||||||
\(164\) | 5.26088i | 0.410806i | ||||||||
\(165\) | 10.0846 | − | 2.07579i | 0.785086 | − | 0.161600i | ||||
\(166\) | 8.43427i | 0.654627i | ||||||||
\(167\) | 14.5778i | 1.12806i | 0.825754 | + | 0.564030i | \(0.190750\pi\) | ||||
−0.825754 | + | 0.564030i | \(0.809250\pi\) | |||||||
\(168\) | −1.69648 | + | 0.349201i | −0.130887 | + | 0.0269414i | ||||
\(169\) | −12.6432 | −0.972553 | ||||||||
\(170\) | − | 5.41941i | − | 0.415650i | ||||||
\(171\) | −0.312336 | − | 0.726549i | −0.0238849 | − | 0.0555606i | ||||
\(172\) | 0.223081i | 0.0170098i | ||||||||
\(173\) | 24.9204i | 1.89466i | 0.320260 | + | 0.947330i | \(0.396230\pi\) | ||||
−0.320260 | + | 0.947330i | \(0.603770\pi\) | |||||||
\(174\) | 1.77766 | − | 0.365909i | 0.134764 | − | 0.0277395i | ||||
\(175\) | − | 2.35962i | − | 0.178371i | ||||||
\(176\) | 3.65827 | 0.275753 | ||||||||
\(177\) | −2.28573 | − | 11.1045i | −0.171806 | − | 0.834668i | ||||
\(178\) | − | 7.18930i | − | 0.538861i | ||||||
\(179\) | − | 3.98382i | − | 0.297764i | −0.988855 | − | 0.148882i | \(-0.952432\pi\) | ||
0.988855 | − | 0.148882i | \(-0.0475675\pi\) | |||||||
\(180\) | 4.47848 | − | 1.92525i | 0.333806 | − | 0.143500i | ||||
\(181\) | − | 9.94679i | − | 0.739339i | −0.929163 | − | 0.369670i | \(-0.879471\pi\) | ||
0.929163 | − | 0.369670i | \(-0.120529\pi\) | |||||||
\(182\) | −0.597342 | −0.0442779 | ||||||||
\(183\) | −2.82449 | − | 13.7219i | −0.208792 | − | 1.01435i | ||||
\(184\) | 3.70303 | − | 3.04755i | 0.272991 | − | 0.224668i | ||||
\(185\) | − | 11.5611i | − | 0.849988i | ||||||
\(186\) | 2.96082 | + | 14.3842i | 0.217098 | + | 1.05470i | ||||
\(187\) | 12.2010 | 0.892224 | ||||||||
\(188\) | − | 5.31374i | − | 0.387545i | ||||||
\(189\) | −2.97248 | − | 4.26197i | −0.216216 | − | 0.310013i | ||||
\(190\) | −0.428351 | −0.0310759 | ||||||||
\(191\) | −3.68150 | −0.266384 | −0.133192 | − | 0.991090i | \(-0.542523\pi\) | ||||
−0.133192 | + | 0.991090i | \(0.542523\pi\) | |||||||
\(192\) | 1.69648 | − | 0.349201i | 0.122433 | − | 0.0252014i | ||||
\(193\) | 15.8377 | 1.14002 | 0.570012 | − | 0.821636i | \(-0.306938\pi\) | ||||
0.570012 | + | 0.821636i | \(0.306938\pi\) | |||||||
\(194\) | 11.3472 | 0.814679 | ||||||||
\(195\) | 1.64667 | − | 0.338947i | 0.117920 | − | 0.0242725i | ||||
\(196\) | 1.00000 | 0.0714286 | ||||||||
\(197\) | 0.305296i | 0.0217515i | 0.999941 | + | 0.0108757i | \(0.00346192\pi\) | ||||
−0.999941 | + | 0.0108757i | \(0.996538\pi\) | |||||||
\(198\) | 4.33442 | + | 10.0826i | 0.308034 | + | 0.716541i | ||||
\(199\) | 19.0168i | 1.34806i | 0.738702 | + | 0.674032i | \(0.235439\pi\) | ||||
−0.738702 | + | 0.674032i | \(0.764561\pi\) | |||||||
\(200\) | 2.35962i | 0.166850i | ||||||||
\(201\) | −4.28801 | − | 20.8320i | −0.302453 | − | 1.46938i | ||||
\(202\) | −1.42782 | −0.100461 | ||||||||
\(203\) | −1.04785 | −0.0735445 | ||||||||
\(204\) | 5.65807 | − | 1.16465i | 0.396144 | − | 0.0815415i | ||||
\(205\) | 8.54853i | 0.597055i | ||||||||
\(206\) | −7.25192 | −0.505265 | ||||||||
\(207\) | 12.7869 | + | 6.59518i | 0.888748 | + | 0.458396i | ||||
\(208\) | 0.597342 | 0.0414182 | ||||||||
\(209\) | − | 0.964369i | − | 0.0667068i | ||||||
\(210\) | −2.75666 | + | 0.567425i | −0.190228 | + | 0.0391560i | ||||
\(211\) | 4.03120 | 0.277519 | 0.138760 | − | 0.990326i | \(-0.455688\pi\) | ||||
0.138760 | + | 0.990326i | \(0.455688\pi\) | |||||||
\(212\) | −4.55315 | −0.312712 | ||||||||
\(213\) | 1.08609 | + | 5.27644i | 0.0744178 | + | 0.361536i | ||||
\(214\) | 19.0320i | 1.30100i | ||||||||
\(215\) | 0.362490i | 0.0247216i | ||||||||
\(216\) | 2.97248 | + | 4.26197i | 0.202251 | + | 0.289990i | ||||
\(217\) | − | 8.47884i | − | 0.575581i | ||||||
\(218\) | −3.88879 | −0.263382 | ||||||||
\(219\) | 13.4737 | − | 2.77339i | 0.910466 | − | 0.187408i | ||||
\(220\) | 5.94442 | 0.400772 | ||||||||
\(221\) | 1.99224 | 0.134013 | ||||||||
\(222\) | 12.0702 | − | 2.48451i | 0.810100 | − | 0.166749i | ||||
\(223\) | 7.73020 | 0.517653 | 0.258826 | − | 0.965924i | \(-0.416664\pi\) | ||||
0.258826 | + | 0.965924i | \(0.416664\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | −6.50339 | + | 2.79574i | −0.433560 | + | 0.186383i | ||||
\(226\) | − | 15.7843i | − | 1.04996i | ||||||
\(227\) | 17.5351 | 1.16384 | 0.581922 | − | 0.813244i | \(-0.302301\pi\) | ||||
0.581922 | + | 0.813244i | \(0.302301\pi\) | |||||||
\(228\) | −0.0920539 | − | 0.447216i | −0.00609642 | − | 0.0296176i | ||||
\(229\) | 23.2267i | 1.53486i | 0.641130 | + | 0.767432i | \(0.278466\pi\) | ||||
−0.641130 | + | 0.767432i | \(0.721534\pi\) | |||||||
\(230\) | 6.01715 | − | 4.95204i | 0.396759 | − | 0.326528i | ||||
\(231\) | −1.27747 | − | 6.20620i | −0.0840514 | − | 0.408338i | ||||
\(232\) | 1.04785 | 0.0687946 | ||||||||
\(233\) | − | 16.1872i | − | 1.06046i | −0.847855 | − | 0.530228i | \(-0.822106\pi\) | ||
0.847855 | − | 0.530228i | \(-0.177894\pi\) | |||||||
\(234\) | 0.707747 | + | 1.64635i | 0.0462669 | + | 0.107625i | ||||
\(235\) | − | 8.63443i | − | 0.563248i | ||||||
\(236\) | − | 6.54561i | − | 0.426083i | ||||||
\(237\) | −3.03479 | − | 14.7436i | −0.197131 | − | 0.957701i | ||||
\(238\) | −3.33518 | −0.216187 | ||||||||
\(239\) | − | 4.77505i | − | 0.308872i | −0.988003 | − | 0.154436i | \(-0.950644\pi\) | ||
0.988003 | − | 0.154436i | \(-0.0493561\pi\) | |||||||
\(240\) | 2.75666 | − | 0.567425i | 0.177942 | − | 0.0366271i | ||||
\(241\) | − | 19.4210i | − | 1.25102i | −0.780217 | − | 0.625509i | \(-0.784891\pi\) | ||
0.780217 | − | 0.625509i | \(-0.215109\pi\) | |||||||
\(242\) | 2.38296i | 0.153182i | ||||||||
\(243\) | −8.22462 | + | 13.2422i | −0.527609 | + | 0.849487i | ||||
\(244\) | − | 8.08845i | − | 0.517810i | ||||||
\(245\) | 1.62492 | 0.103813 | ||||||||
\(246\) | −8.92500 | + | 1.83710i | −0.569037 | + | 0.117129i | ||||
\(247\) | − | 0.157467i | − | 0.0100194i | ||||||
\(248\) | 8.47884i | 0.538407i | ||||||||
\(249\) | −14.3086 | + | 2.94525i | −0.906772 | + | 0.186648i | ||||
\(250\) | 11.9588i | 0.756343i | ||||||||
\(251\) | −16.4926 | −1.04100 | −0.520502 | − | 0.853861i | \(-0.674255\pi\) | ||||
−0.520502 | + | 0.853861i | \(0.674255\pi\) | |||||||
\(252\) | −1.18483 | − | 2.75612i | −0.0746371 | − | 0.173619i | ||||
\(253\) | 11.1488 | + | 13.5467i | 0.700917 | + | 0.851674i | ||||
\(254\) | 8.20558i | 0.514864i | ||||||||
\(255\) | 9.19394 | − | 1.89246i | 0.575747 | − | 0.118510i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 7.68831i | 0.479583i | 0.970824 | + | 0.239792i | \(0.0770791\pi\) | ||||
−0.970824 | + | 0.239792i | \(0.922921\pi\) | |||||||
\(258\) | −0.378454 | + | 0.0779001i | −0.0235615 | + | 0.00484985i | ||||
\(259\) | −7.11484 | −0.442095 | ||||||||
\(260\) | 0.970636 | 0.0601963 | ||||||||
\(261\) | 1.24152 | + | 2.88799i | 0.0768481 | + | 0.178762i | ||||
\(262\) | −15.5346 | −0.959729 | ||||||||
\(263\) | −0.333423 | −0.0205597 | −0.0102799 | − | 0.999947i | \(-0.503272\pi\) | ||||
−0.0102799 | + | 0.999947i | \(0.503272\pi\) | |||||||
\(264\) | 1.27747 | + | 6.20620i | 0.0786229 | + | 0.381965i | ||||
\(265\) | −7.39852 | −0.454488 | ||||||||
\(266\) | 0.263613i | 0.0161632i | ||||||||
\(267\) | 12.1965 | − | 2.51051i | 0.746416 | − | 0.153641i | ||||
\(268\) | − | 12.2795i | − | 0.750090i | ||||||
\(269\) | − | 4.10364i | − | 0.250204i | −0.992144 | − | 0.125102i | \(-0.960074\pi\) | ||
0.992144 | − | 0.125102i | \(-0.0399257\pi\) | |||||||
\(270\) | 4.83005 | + | 6.92538i | 0.293948 | + | 0.421465i | ||||
\(271\) | 12.4811 | 0.758172 | 0.379086 | − | 0.925362i | \(-0.376239\pi\) | ||||
0.379086 | + | 0.925362i | \(0.376239\pi\) | |||||||
\(272\) | 3.33518 | 0.202225 | ||||||||
\(273\) | −0.208592 | − | 1.01338i | −0.0126246 | − | 0.0613326i | ||||
\(274\) | − | 2.46513i | − | 0.148924i | ||||||
\(275\) | −8.63213 | −0.520537 | ||||||||
\(276\) | 6.46322 | + | 5.21793i | 0.389040 | + | 0.314082i | ||||
\(277\) | −12.5108 | −0.751699 | −0.375849 | − | 0.926681i | \(-0.622649\pi\) | ||||
−0.375849 | + | 0.926681i | \(0.622649\pi\) | |||||||
\(278\) | − | 18.8869i | − | 1.13276i | ||||||
\(279\) | −23.3687 | + | 10.0460i | −1.39905 | + | 0.601436i | ||||
\(280\) | −1.62492 | −0.0971078 | ||||||||
\(281\) | 8.24651 | 0.491945 | 0.245973 | − | 0.969277i | \(-0.420893\pi\) | ||||
0.245973 | + | 0.969277i | \(0.420893\pi\) | |||||||
\(282\) | 9.01468 | − | 1.85556i | 0.536816 | − | 0.110497i | ||||
\(283\) | 5.12713i | 0.304776i | 0.988321 | + | 0.152388i | \(0.0486964\pi\) | ||||
−0.988321 | + | 0.152388i | \(0.951304\pi\) | |||||||
\(284\) | 3.11022i | 0.184558i | ||||||||
\(285\) | −0.149581 | − | 0.726692i | −0.00886039 | − | 0.0430455i | ||||
\(286\) | 2.18524i | 0.129216i | ||||||||
\(287\) | 5.26088 | 0.310540 | ||||||||
\(288\) | 1.18483 | + | 2.75612i | 0.0698166 | + | 0.162406i | ||||
\(289\) | −5.87660 | −0.345682 | ||||||||
\(290\) | 1.70267 | 0.0999845 | ||||||||
\(291\) | 3.96244 | + | 19.2503i | 0.232282 | + | 1.12847i | ||||
\(292\) | 7.94212 | 0.464777 | ||||||||
\(293\) | 9.13629 | 0.533748 | 0.266874 | − | 0.963731i | \(-0.414009\pi\) | ||||
0.266874 | + | 0.963731i | \(0.414009\pi\) | |||||||
\(294\) | 0.349201 | + | 1.69648i | 0.0203658 | + | 0.0989410i | ||||
\(295\) | − | 10.6361i | − | 0.619259i | ||||||
\(296\) | 7.11484 | 0.413542 | ||||||||
\(297\) | −15.5914 | + | 10.8741i | −0.904707 | + | 0.630981i | ||||
\(298\) | 5.09636i | 0.295224i | ||||||||
\(299\) | 1.82043 | + | 2.21198i | 0.105278 | + | 0.127922i | ||||
\(300\) | −4.00306 | + | 0.823981i | −0.231117 | + | 0.0475726i | ||||
\(301\) | 0.223081 | 0.0128582 | ||||||||
\(302\) | 20.4166i | 1.17484i | ||||||||
\(303\) | −0.498595 | − | 2.42227i | −0.0286436 | − | 0.139156i | ||||
\(304\) | − | 0.263613i | − | 0.0151193i | ||||||
\(305\) | − | 13.1431i | − | 0.752573i | ||||||
\(306\) | 3.95160 | + | 9.19214i | 0.225898 | + | 0.525480i | ||||
\(307\) | −2.86780 | −0.163674 | −0.0818369 | − | 0.996646i | \(-0.526079\pi\) | ||||
−0.0818369 | + | 0.996646i | \(0.526079\pi\) | |||||||
\(308\) | − | 3.65827i | − | 0.208449i | ||||||
\(309\) | −2.53237 | − | 12.3028i | −0.144062 | − | 0.699880i | ||||
\(310\) | 13.7775i | 0.782508i | ||||||||
\(311\) | − | 26.8944i | − | 1.52504i | −0.646962 | − | 0.762522i | \(-0.723961\pi\) | ||
0.646962 | − | 0.762522i | \(-0.276039\pi\) | |||||||
\(312\) | 0.208592 | + | 1.01338i | 0.0118092 | + | 0.0573714i | ||||
\(313\) | − | 20.2868i | − | 1.14668i | −0.819319 | − | 0.573338i | \(-0.805648\pi\) | ||
0.819319 | − | 0.573338i | \(-0.194352\pi\) | |||||||
\(314\) | 17.2300 | 0.972346 | ||||||||
\(315\) | −1.92525 | − | 4.47848i | −0.108476 | − | 0.252334i | ||||
\(316\) | − | 8.69069i | − | 0.488889i | ||||||
\(317\) | 0.833720i | 0.0468264i | 0.999726 | + | 0.0234132i | \(0.00745334\pi\) | ||||
−0.999726 | + | 0.0234132i | \(0.992547\pi\) | |||||||
\(318\) | −1.58996 | − | 7.72435i | −0.0891607 | − | 0.433160i | ||||
\(319\) | 3.83331i | 0.214624i | ||||||||
\(320\) | 1.62492 | 0.0908360 | ||||||||
\(321\) | −32.2875 | + | 6.64598i | −1.80211 | + | 0.370943i | ||||
\(322\) | −3.04755 | − | 3.70303i | −0.169833 | − | 0.206362i | ||||
\(323\) | − | 0.879196i | − | 0.0489198i | ||||||
\(324\) | −6.19237 | + | 6.53104i | −0.344021 | + | 0.362836i | ||||
\(325\) | −1.40950 | −0.0781850 | ||||||||
\(326\) | − | 7.47733i | − | 0.414131i | ||||||
\(327\) | −1.35797 | − | 6.59727i | −0.0750957 | − | 0.364830i | ||||
\(328\) | −5.26088 | −0.290483 | ||||||||
\(329\) | −5.31374 | −0.292956 | ||||||||
\(330\) | 2.07579 | + | 10.0846i | 0.114269 | + | 0.555139i | ||||
\(331\) | 7.23143 | 0.397475 | 0.198738 | − | 0.980053i | \(-0.436316\pi\) | ||||
0.198738 | + | 0.980053i | \(0.436316\pi\) | |||||||
\(332\) | −8.43427 | −0.462891 | ||||||||
\(333\) | 8.42985 | + | 19.6093i | 0.461953 | + | 1.07459i | ||||
\(334\) | −14.5778 | −0.797659 | ||||||||
\(335\) | − | 19.9533i | − | 1.09016i | ||||||
\(336\) | −0.349201 | − | 1.69648i | −0.0190505 | − | 0.0925508i | ||||
\(337\) | 29.5714i | 1.61086i | 0.592693 | + | 0.805429i | \(0.298065\pi\) | ||||
−0.592693 | + | 0.805429i | \(0.701935\pi\) | |||||||
\(338\) | − | 12.6432i | − | 0.687698i | ||||||
\(339\) | 26.7779 | − | 5.51190i | 1.45437 | − | 0.299365i | ||||
\(340\) | 5.41941 | 0.293909 | ||||||||
\(341\) | −31.0179 | −1.67971 | ||||||||
\(342\) | 0.726549 | − | 0.312336i | 0.0392873 | − | 0.0168892i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | −0.223081 | −0.0120277 | ||||||||
\(345\) | 10.5022 | + | 8.47874i | 0.565422 | + | 0.456480i | ||||
\(346\) | −24.9204 | −1.33973 | ||||||||
\(347\) | 19.4105i | 1.04201i | 0.853554 | + | 0.521005i | \(0.174443\pi\) | ||||
−0.853554 | + | 0.521005i | \(0.825557\pi\) | |||||||
\(348\) | 0.365909 | + | 1.77766i | 0.0196148 | + | 0.0952925i | ||||
\(349\) | 8.46750 | 0.453255 | 0.226628 | − | 0.973981i | \(-0.427230\pi\) | ||||
0.226628 | + | 0.973981i | \(0.427230\pi\) | |||||||
\(350\) | 2.35962 | 0.126127 | ||||||||
\(351\) | −2.54585 | + | 1.77559i | −0.135888 | + | 0.0947738i | ||||
\(352\) | 3.65827i | 0.194987i | ||||||||
\(353\) | − | 14.8486i | − | 0.790313i | −0.918614 | − | 0.395157i | \(-0.870690\pi\) | ||
0.918614 | − | 0.395157i | \(-0.129310\pi\) | |||||||
\(354\) | 11.1045 | − | 2.28573i | 0.590199 | − | 0.121485i | ||||
\(355\) | 5.05388i | 0.268232i | ||||||||
\(356\) | 7.18930 | 0.381032 | ||||||||
\(357\) | −1.16465 | − | 5.65807i | −0.0616396 | − | 0.299457i | ||||
\(358\) | 3.98382 | 0.210551 | ||||||||
\(359\) | −19.1308 | −1.00968 | −0.504842 | − | 0.863212i | \(-0.668449\pi\) | ||||
−0.504842 | + | 0.863212i | \(0.668449\pi\) | |||||||
\(360\) | 1.92525 | + | 4.47848i | 0.101470 | + | 0.236037i | ||||
\(361\) | 18.9305 | 0.996343 | ||||||||
\(362\) | 9.94679 | 0.522792 | ||||||||
\(363\) | −4.04265 | + | 0.832130i | −0.212184 | + | 0.0436755i | ||||
\(364\) | − | 0.597342i | − | 0.0313092i | ||||||
\(365\) | 12.9053 | 0.675496 | ||||||||
\(366\) | 13.7219 | − | 2.82449i | 0.717257 | − | 0.147639i | ||||
\(367\) | − | 16.9690i | − | 0.885774i | −0.896577 | − | 0.442887i | \(-0.853954\pi\) | ||
0.896577 | − | 0.442887i | \(-0.146046\pi\) | |||||||
\(368\) | 3.04755 | + | 3.70303i | 0.158864 | + | 0.193034i | ||||
\(369\) | −6.23323 | − | 14.4996i | −0.324489 | − | 0.754819i | ||||
\(370\) | 11.5611 | 0.601032 | ||||||||
\(371\) | 4.55315i | 0.236388i | ||||||||
\(372\) | −14.3842 | + | 2.96082i | −0.745787 | + | 0.153511i | ||||
\(373\) | − | 8.28644i | − | 0.429056i | −0.976718 | − | 0.214528i | \(-0.931179\pi\) | ||
0.976718 | − | 0.214528i | \(-0.0688213\pi\) | |||||||
\(374\) | 12.2010i | 0.630898i | ||||||||
\(375\) | −20.2880 | + | 4.17603i | −1.04767 | + | 0.215649i | ||||
\(376\) | 5.31374 | 0.274035 | ||||||||
\(377\) | 0.625924i | 0.0322367i | ||||||||
\(378\) | 4.26197 | − | 2.97248i | 0.219212 | − | 0.152888i | ||||
\(379\) | 11.8008i | 0.606165i | 0.952964 | + | 0.303082i | \(0.0980157\pi\) | ||||
−0.952964 | + | 0.303082i | \(0.901984\pi\) | |||||||
\(380\) | − | 0.428351i | − | 0.0219740i | ||||||
\(381\) | −13.9206 | + | 2.86539i | −0.713176 | + | 0.146799i | ||||
\(382\) | − | 3.68150i | − | 0.188362i | ||||||
\(383\) | 29.3281 | 1.49860 | 0.749298 | − | 0.662234i | \(-0.230391\pi\) | ||||
0.749298 | + | 0.662234i | \(0.230391\pi\) | |||||||
\(384\) | 0.349201 | + | 1.69648i | 0.0178201 | + | 0.0865734i | ||||
\(385\) | − | 5.94442i | − | 0.302956i | ||||||
\(386\) | 15.8377i | 0.806119i | ||||||||
\(387\) | −0.264313 | − | 0.614838i | −0.0134358 | − | 0.0312540i | ||||
\(388\) | 11.3472i | 0.576065i | ||||||||
\(389\) | −24.4234 | −1.23832 | −0.619158 | − | 0.785267i | \(-0.712526\pi\) | ||||
−0.619158 | + | 0.785267i | \(0.712526\pi\) | |||||||
\(390\) | 0.338947 | + | 1.64667i | 0.0171632 | + | 0.0833823i | ||||
\(391\) | 10.1641 | + | 12.3503i | 0.514021 | + | 0.624580i | ||||
\(392\) | 1.00000i | 0.0505076i | ||||||||
\(393\) | −5.42468 | − | 26.3542i | −0.273639 | − | 1.32939i | ||||
\(394\) | −0.305296 | −0.0153806 | ||||||||
\(395\) | − | 14.1217i | − | 0.710540i | ||||||
\(396\) | −10.0826 | + | 4.33442i | −0.506671 | + | 0.217813i | ||||
\(397\) | 10.0167 | 0.502724 | 0.251362 | − | 0.967893i | \(-0.419122\pi\) | ||||
0.251362 | + | 0.967893i | \(0.419122\pi\) | |||||||
\(398\) | −19.0168 | −0.953226 | ||||||||
\(399\) | −0.447216 | + | 0.0920539i | −0.0223888 | + | 0.00460846i | ||||
\(400\) | −2.35962 | −0.117981 | ||||||||
\(401\) | −15.2935 | −0.763723 | −0.381861 | − | 0.924220i | \(-0.624717\pi\) | ||||
−0.381861 | + | 0.924220i | \(0.624717\pi\) | |||||||
\(402\) | 20.8320 | − | 4.28801i | 1.03901 | − | 0.213867i | ||||
\(403\) | −5.06477 | −0.252294 | ||||||||
\(404\) | − | 1.42782i | − | 0.0710367i | ||||||
\(405\) | −10.0621 | + | 10.6125i | −0.499992 | + | 0.527337i | ||||
\(406\) | − | 1.04785i | − | 0.0520038i | ||||||
\(407\) | 26.0280i | 1.29016i | ||||||||
\(408\) | 1.16465 | + | 5.65807i | 0.0576585 | + | 0.280116i | ||||
\(409\) | −4.70430 | −0.232613 | −0.116306 | − | 0.993213i | \(-0.537105\pi\) | ||||
−0.116306 | + | 0.993213i | \(0.537105\pi\) | |||||||
\(410\) | −8.54853 | −0.422182 | ||||||||
\(411\) | 4.18205 | − | 0.860824i | 0.206285 | − | 0.0424613i | ||||
\(412\) | − | 7.25192i | − | 0.357276i | ||||||
\(413\) | −6.54561 | −0.322089 | ||||||||
\(414\) | −6.59518 | + | 12.7869i | −0.324135 | + | 0.628440i | ||||
\(415\) | −13.7051 | −0.672755 | ||||||||
\(416\) | 0.597342i | 0.0292871i | ||||||||
\(417\) | 32.0413 | − | 6.59531i | 1.56907 | − | 0.322974i | ||||
\(418\) | 0.964369 | 0.0471688 | ||||||||
\(419\) | 4.67669 | 0.228471 | 0.114236 | − | 0.993454i | \(-0.463558\pi\) | ||||
0.114236 | + | 0.993454i | \(0.463558\pi\) | |||||||
\(420\) | −0.567425 | − | 2.75666i | −0.0276875 | − | 0.134511i | ||||
\(421\) | − | 31.7808i | − | 1.54890i | −0.632634 | − | 0.774451i | \(-0.718026\pi\) | ||
0.632634 | − | 0.774451i | \(-0.281974\pi\) | |||||||
\(422\) | 4.03120i | 0.196236i | ||||||||
\(423\) | 6.29586 | + | 14.6453i | 0.306115 | + | 0.712079i | ||||
\(424\) | − | 4.55315i | − | 0.221120i | ||||||
\(425\) | −7.86975 | −0.381739 | ||||||||
\(426\) | −5.27644 | + | 1.08609i | −0.255645 | + | 0.0526213i | ||||
\(427\) | −8.08845 | −0.391428 | ||||||||
\(428\) | −19.0320 | −0.919946 | ||||||||
\(429\) | −3.70723 | + | 0.763087i | −0.178987 | + | 0.0368422i | ||||
\(430\) | −0.362490 | −0.0174808 | ||||||||
\(431\) | −15.3395 | −0.738879 | −0.369439 | − | 0.929255i | \(-0.620450\pi\) | ||||
−0.369439 | + | 0.929255i | \(0.620450\pi\) | |||||||
\(432\) | −4.26197 | + | 2.97248i | −0.205054 | + | 0.143013i | ||||
\(433\) | 6.23378i | 0.299576i | 0.988718 | + | 0.149788i | \(0.0478592\pi\) | ||||
−0.988718 | + | 0.149788i | \(0.952141\pi\) | |||||||
\(434\) | 8.47884 | 0.406997 | ||||||||
\(435\) | 0.594575 | + | 2.88856i | 0.0285077 | + | 0.138496i | ||||
\(436\) | − | 3.88879i | − | 0.186239i | ||||||
\(437\) | 0.976168 | − | 0.803374i | 0.0466964 | − | 0.0384306i | ||||
\(438\) | 2.77339 | + | 13.4737i | 0.132518 | + | 0.643797i | ||||
\(439\) | 12.4195 | 0.592752 | 0.296376 | − | 0.955071i | \(-0.404222\pi\) | ||||
0.296376 | + | 0.955071i | \(0.404222\pi\) | |||||||
\(440\) | 5.94442i | 0.283389i | ||||||||
\(441\) | −2.75612 | + | 1.18483i | −0.131244 | + | 0.0564203i | ||||
\(442\) | 1.99224i | 0.0947612i | ||||||||
\(443\) | 12.9908i | 0.617214i | 0.951190 | + | 0.308607i | \(0.0998628\pi\) | ||||
−0.951190 | + | 0.308607i | \(0.900137\pi\) | |||||||
\(444\) | 2.48451 | + | 12.0702i | 0.117909 | + | 0.572827i | ||||
\(445\) | 11.6821 | 0.553784 | ||||||||
\(446\) | 7.73020i | 0.366036i | ||||||||
\(447\) | −8.64589 | + | 1.77965i | −0.408937 | + | 0.0841746i | ||||
\(448\) | − | 1.00000i | − | 0.0472456i | ||||||
\(449\) | − | 10.8729i | − | 0.513122i | −0.966528 | − | 0.256561i | \(-0.917411\pi\) | ||
0.966528 | − | 0.256561i | \(-0.0825895\pi\) | |||||||
\(450\) | −2.79574 | − | 6.50339i | −0.131793 | − | 0.306573i | ||||
\(451\) | − | 19.2457i | − | 0.906246i | ||||||
\(452\) | 15.7843 | 0.742433 | ||||||||
\(453\) | −34.6365 | + | 7.12949i | −1.62736 | + | 0.334973i | ||||
\(454\) | 17.5351i | 0.822963i | ||||||||
\(455\) | − | 0.970636i | − | 0.0455041i | ||||||
\(456\) | 0.447216 | − | 0.0920539i | 0.0209428 | − | 0.00431082i | ||||
\(457\) | − | 38.8414i | − | 1.81692i | −0.417967 | − | 0.908462i | \(-0.637257\pi\) | ||
0.417967 | − | 0.908462i | \(-0.362743\pi\) | |||||||
\(458\) | −23.2267 | −1.08531 | ||||||||
\(459\) | −14.2144 | + | 9.91374i | −0.663472 | + | 0.462734i | ||||
\(460\) | 4.95204 | + | 6.01715i | 0.230890 | + | 0.280551i | ||||
\(461\) | 1.76466i | 0.0821883i | 0.999155 | + | 0.0410941i | \(0.0130844\pi\) | ||||
−0.999155 | + | 0.0410941i | \(0.986916\pi\) | |||||||
\(462\) | 6.20620 | − | 1.27747i | 0.288739 | − | 0.0594333i | ||||
\(463\) | −7.78106 | −0.361616 | −0.180808 | − | 0.983518i | \(-0.557871\pi\) | ||||
−0.180808 | + | 0.983518i | \(0.557871\pi\) | |||||||
\(464\) | 1.04785i | 0.0486451i | ||||||||
\(465\) | −23.3733 | + | 4.81110i | −1.08391 | + | 0.223110i | ||||
\(466\) | 16.1872 | 0.749856 | ||||||||
\(467\) | −30.4169 | −1.40753 | −0.703764 | − | 0.710434i | \(-0.748499\pi\) | ||||
−0.703764 | + | 0.710434i | \(0.748499\pi\) | |||||||
\(468\) | −1.64635 | + | 0.707747i | −0.0761023 | + | 0.0327156i | ||||
\(469\) | −12.2795 | −0.567015 | ||||||||
\(470\) | 8.63443 | 0.398277 | ||||||||
\(471\) | 6.01673 | + | 29.2304i | 0.277236 | + | 1.34687i | ||||
\(472\) | 6.54561 | 0.301286 | ||||||||
\(473\) | − | 0.816092i | − | 0.0375239i | ||||||
\(474\) | 14.7436 | − | 3.03479i | 0.677197 | − | 0.139393i | ||||
\(475\) | 0.622027i | 0.0285406i | ||||||||
\(476\) | − | 3.33518i | − | 0.152868i | ||||||
\(477\) | 12.5490 | − | 5.39469i | 0.574580 | − | 0.247006i | ||||
\(478\) | 4.77505 | 0.218406 | ||||||||
\(479\) | −20.8015 | −0.950444 | −0.475222 | − | 0.879866i | \(-0.657632\pi\) | ||||
−0.475222 | + | 0.879866i | \(0.657632\pi\) | |||||||
\(480\) | 0.567425 | + | 2.75666i | 0.0258993 | + | 0.125824i | ||||
\(481\) | 4.24999i | 0.193783i | ||||||||
\(482\) | 19.4210 | 0.884604 | ||||||||
\(483\) | 5.21793 | − | 6.46322i | 0.237424 | − | 0.294087i | ||||
\(484\) | −2.38296 | −0.108316 | ||||||||
\(485\) | 18.4383i | 0.837240i | ||||||||
\(486\) | −13.2422 | − | 8.22462i | −0.600678 | − | 0.373076i | ||||
\(487\) | 17.8807 | 0.810250 | 0.405125 | − | 0.914261i | \(-0.367228\pi\) | ||||
0.405125 | + | 0.914261i | \(0.367228\pi\) | |||||||
\(488\) | 8.08845 | 0.366147 | ||||||||
\(489\) | 12.6852 | − | 2.61109i | 0.573643 | − | 0.118078i | ||||
\(490\) | 1.62492i | 0.0734066i | ||||||||
\(491\) | − | 39.8488i | − | 1.79835i | −0.437587 | − | 0.899176i | \(-0.644167\pi\) | ||
0.437587 | − | 0.899176i | \(-0.355833\pi\) | |||||||
\(492\) | −1.83710 | − | 8.92500i | −0.0828230 | − | 0.402370i | ||||
\(493\) | 3.49476i | 0.157396i | ||||||||
\(494\) | 0.157467 | 0.00708479 | ||||||||
\(495\) | −16.3835 | + | 7.04310i | −0.736384 | + | 0.316564i | ||||
\(496\) | −8.47884 | −0.380711 | ||||||||
\(497\) | 3.11022 | 0.139513 | ||||||||
\(498\) | −2.94525 | − | 14.3086i | −0.131980 | − | 0.641184i | ||||
\(499\) | −32.2348 | −1.44303 | −0.721513 | − | 0.692400i | \(-0.756553\pi\) | ||||
−0.721513 | + | 0.692400i | \(0.756553\pi\) | |||||||
\(500\) | −11.9588 | −0.534815 | ||||||||
\(501\) | −5.09056 | − | 24.7309i | −0.227429 | − | 1.10490i | ||||
\(502\) | − | 16.4926i | − | 0.736100i | ||||||
\(503\) | 4.51262 | 0.201208 | 0.100604 | − | 0.994927i | \(-0.467922\pi\) | ||||
0.100604 | + | 0.994927i | \(0.467922\pi\) | |||||||
\(504\) | 2.75612 | − | 1.18483i | 0.122767 | − | 0.0527764i | ||||
\(505\) | − | 2.32010i | − | 0.103243i | ||||||
\(506\) | −13.5467 | + | 11.1488i | −0.602224 | + | 0.495623i | ||||
\(507\) | 21.4490 | − | 4.41501i | 0.952582 | − | 0.196077i | ||||
\(508\) | −8.20558 | −0.364064 | ||||||||
\(509\) | − | 30.3575i | − | 1.34557i | −0.739837 | − | 0.672786i | \(-0.765097\pi\) | ||
0.739837 | − | 0.672786i | \(-0.234903\pi\) | |||||||
\(510\) | 1.89246 | + | 9.19394i | 0.0837996 | + | 0.407115i | ||||
\(511\) | − | 7.94212i | − | 0.351338i | ||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0.783584 | + | 1.12351i | 0.0345961 | + | 0.0496042i | ||||
\(514\) | −7.68831 | −0.339117 | ||||||||
\(515\) | − | 11.7838i | − | 0.519257i | ||||||
\(516\) | −0.0779001 | − | 0.378454i | −0.00342936 | − | 0.0166605i | ||||
\(517\) | 19.4391i | 0.854931i | ||||||||
\(518\) | − | 7.11484i | − | 0.312608i | ||||||
\(519\) | −8.70220 | − | 42.2770i | −0.381984 | − | 1.85575i | ||||
\(520\) | 0.970636i | 0.0425652i | ||||||||
\(521\) | 24.6722 | 1.08091 | 0.540454 | − | 0.841374i | \(-0.318253\pi\) | ||||
0.540454 | + | 0.841374i | \(0.318253\pi\) | |||||||
\(522\) | −2.88799 | + | 1.24152i | −0.126404 | + | 0.0543398i | ||||
\(523\) | − | 10.8449i | − | 0.474213i | −0.971484 | − | 0.237107i | \(-0.923801\pi\) | ||
0.971484 | − | 0.237107i | \(-0.0761990\pi\) | |||||||
\(524\) | − | 15.5346i | − | 0.678631i | ||||||
\(525\) | 0.823981 | + | 4.00306i | 0.0359615 | + | 0.174708i | ||||
\(526\) | − | 0.333423i | − | 0.0145379i | ||||||
\(527\) | −28.2784 | −1.23183 | ||||||||
\(528\) | −6.20620 | + | 1.27747i | −0.270090 | + | 0.0555948i | ||||
\(529\) | −4.42489 | + | 22.5703i | −0.192386 | + | 0.981319i | ||||
\(530\) | − | 7.39852i | − | 0.321371i | ||||||
\(531\) | 7.75542 | + | 18.0405i | 0.336556 | + | 0.782890i | ||||
\(532\) | −0.263613 | −0.0114291 | ||||||||
\(533\) | − | 3.14254i | − | 0.136119i | ||||||
\(534\) | 2.51051 | + | 12.1965i | 0.108640 | + | 0.527796i | ||||
\(535\) | −30.9255 | −1.33703 | ||||||||
\(536\) | 12.2795 | 0.530394 | ||||||||
\(537\) | 1.39115 | + | 6.75848i | 0.0600326 | + | 0.291650i | ||||
\(538\) | 4.10364 | 0.176921 | ||||||||
\(539\) | −3.65827 | −0.157573 | ||||||||
\(540\) | −6.92538 | + | 4.83005i | −0.298021 | + | 0.207852i | ||||
\(541\) | −9.28318 | −0.399115 | −0.199558 | − | 0.979886i | \(-0.563951\pi\) | ||||
−0.199558 | + | 0.979886i | \(0.563951\pi\) | |||||||
\(542\) | 12.4811i | 0.536108i | ||||||||
\(543\) | 3.47342 | + | 16.8746i | 0.149059 | + | 0.724157i | ||||
\(544\) | 3.33518i | 0.142994i | ||||||||
\(545\) | − | 6.31899i | − | 0.270676i | ||||||
\(546\) | 1.01338 | − | 0.208592i | 0.0433687 | − | 0.00892692i | ||||
\(547\) | 12.9096 | 0.551976 | 0.275988 | − | 0.961161i | \(-0.410995\pi\) | ||||
0.275988 | + | 0.961161i | \(0.410995\pi\) | |||||||
\(548\) | 2.46513 | 0.105305 | ||||||||
\(549\) | 9.58341 | + | 22.2927i | 0.409010 | + | 0.951431i | ||||
\(550\) | − | 8.63213i | − | 0.368075i | ||||||
\(551\) | 0.276227 | 0.0117676 | ||||||||
\(552\) | −5.21793 | + | 6.46322i | −0.222090 | + | 0.275093i | ||||
\(553\) | −8.69069 | −0.369566 | ||||||||
\(554\) | − | 12.5108i | − | 0.531531i | ||||||
\(555\) | 4.03714 | + | 19.6132i | 0.171367 | + | 0.832534i | ||||
\(556\) | 18.8869 | 0.800983 | ||||||||
\(557\) | 36.7806 | 1.55844 | 0.779221 | − | 0.626749i | \(-0.215615\pi\) | ||||
0.779221 | + | 0.626749i | \(0.215615\pi\) | |||||||
\(558\) | −10.0460 | − | 23.3687i | −0.425279 | − | 0.989275i | ||||
\(559\) | − | 0.133256i | − | 0.00563612i | ||||||
\(560\) | − | 1.62492i | − | 0.0686656i | ||||||
\(561\) | −20.6988 | + | 4.26059i | −0.873903 | + | 0.179882i | ||||
\(562\) | 8.24651i | 0.347858i | ||||||||
\(563\) | 17.5140 | 0.738129 | 0.369065 | − | 0.929404i | \(-0.379678\pi\) | ||||
0.369065 | + | 0.929404i | \(0.379678\pi\) | |||||||
\(564\) | 1.85556 | + | 9.01468i | 0.0781333 | + | 0.379587i | ||||
\(565\) | 25.6483 | 1.07903 | ||||||||
\(566\) | −5.12713 | −0.215510 | ||||||||
\(567\) | 6.53104 | + | 6.19237i | 0.274278 | + | 0.260055i | ||||
\(568\) | −3.11022 | −0.130502 | ||||||||
\(569\) | 9.62551 | 0.403522 | 0.201761 | − | 0.979435i | \(-0.435334\pi\) | ||||
0.201761 | + | 0.979435i | \(0.435334\pi\) | |||||||
\(570\) | 0.726692 | − | 0.149581i | 0.0304378 | − | 0.00626524i | ||||
\(571\) | 10.9452i | 0.458041i | 0.973422 | + | 0.229020i | \(0.0735523\pi\) | ||||
−0.973422 | + | 0.229020i | \(0.926448\pi\) | |||||||
\(572\) | −2.18524 | −0.0913695 | ||||||||
\(573\) | 6.24560 | − | 1.28558i | 0.260914 | − | 0.0537059i | ||||
\(574\) | 5.26088i | 0.219585i | ||||||||
\(575\) | −7.19106 | − | 8.73775i | −0.299888 | − | 0.364389i | ||||
\(576\) | −2.75612 | + | 1.18483i | −0.114838 | + | 0.0493678i | ||||
\(577\) | 13.3327 | 0.555048 | 0.277524 | − | 0.960719i | \(-0.410486\pi\) | ||||
0.277524 | + | 0.960719i | \(0.410486\pi\) | |||||||
\(578\) | − | 5.87660i | − | 0.244434i | ||||||
\(579\) | −26.8685 | + | 5.53054i | −1.11662 | + | 0.229842i | ||||
\(580\) | 1.70267i | 0.0706997i | ||||||||
\(581\) | 8.43427i | 0.349913i | ||||||||
\(582\) | −19.2503 | + | 3.96244i | −0.797951 | + | 0.164248i | ||||
\(583\) | 16.6567 | 0.689848 | ||||||||
\(584\) | 7.94212i | 0.328647i | ||||||||
\(585\) | −2.67519 | + | 1.15003i | −0.110605 | + | 0.0475481i | ||||
\(586\) | 9.13629i | 0.377417i | ||||||||
\(587\) | 10.3891i | 0.428805i | 0.976745 | + | 0.214402i | \(0.0687804\pi\) | ||||
−0.976745 | + | 0.214402i | \(0.931220\pi\) | |||||||
\(588\) | −1.69648 | + | 0.349201i | −0.0699618 | + | 0.0144008i | ||||
\(589\) | 2.23513i | 0.0920971i | ||||||||
\(590\) | 10.6361 | 0.437882 | ||||||||
\(591\) | −0.106610 | − | 0.517930i | −0.00438533 | − | 0.0213048i | ||||
\(592\) | 7.11484i | 0.292418i | ||||||||
\(593\) | 26.4817i | 1.08747i | 0.839256 | + | 0.543736i | \(0.182991\pi\) | ||||
−0.839256 | + | 0.543736i | \(0.817009\pi\) | |||||||
\(594\) | −10.8741 | − | 15.5914i | −0.446171 | − | 0.639725i | ||||
\(595\) | − | 5.41941i | − | 0.222174i | ||||||
\(596\) | −5.09636 | −0.208755 | ||||||||
\(597\) | −6.64068 | − | 32.2617i | −0.271785 | − | 1.32038i | ||||
\(598\) | −2.21198 | + | 1.82043i | −0.0904544 | + | 0.0744429i | ||||
\(599\) | 0.618154i | 0.0252571i | 0.999920 | + | 0.0126285i | \(0.00401990\pi\) | ||||
−0.999920 | + | 0.0126285i | \(0.995980\pi\) | |||||||
\(600\) | −0.823981 | − | 4.00306i | −0.0336389 | − | 0.163424i | ||||
\(601\) | −25.1556 | −1.02612 | −0.513058 | − | 0.858354i | \(-0.671488\pi\) | ||||
−0.513058 | + | 0.858354i | \(0.671488\pi\) | |||||||
\(602\) | 0.223081i | 0.00909211i | ||||||||
\(603\) | 14.5491 | + | 33.8438i | 0.592485 | + | 1.37823i | ||||
\(604\) | −20.4166 | −0.830740 | ||||||||
\(605\) | −3.87213 | −0.157424 | ||||||||
\(606\) | 2.42227 | − | 0.498595i | 0.0983981 | − | 0.0202541i | ||||
\(607\) | −4.59071 | −0.186331 | −0.0931657 | − | 0.995651i | \(-0.529699\pi\) | ||||
−0.0931657 | + | 0.995651i | \(0.529699\pi\) | |||||||
\(608\) | 0.263613 | 0.0106909 | ||||||||
\(609\) | 1.77766 | − | 0.365909i | 0.0720343 | − | 0.0148274i | ||||
\(610\) | 13.1431 | 0.532150 | ||||||||
\(611\) | 3.17412i | 0.128411i | ||||||||
\(612\) | −9.19214 | + | 3.95160i | −0.371570 | + | 0.159734i | ||||
\(613\) | 42.9903i | 1.73636i | 0.496249 | + | 0.868180i | \(0.334710\pi\) | ||||
−0.496249 | + | 0.868180i | \(0.665290\pi\) | |||||||
\(614\) | − | 2.86780i | − | 0.115735i | ||||||
\(615\) | −2.98515 | − | 14.5024i | −0.120373 | − | 0.584795i | ||||
\(616\) | 3.65827 | 0.147396 | ||||||||
\(617\) | −40.4436 | −1.62820 | −0.814099 | − | 0.580727i | \(-0.802769\pi\) | ||||
−0.814099 | + | 0.580727i | \(0.802769\pi\) | |||||||
\(618\) | 12.3028 | − | 2.53237i | 0.494890 | − | 0.101867i | ||||
\(619\) | 40.1230i | 1.61268i | 0.591453 | + | 0.806340i | \(0.298555\pi\) | ||||
−0.591453 | + | 0.806340i | \(0.701445\pi\) | |||||||
\(620\) | −13.7775 | −0.553317 | ||||||||
\(621\) | −23.9957 | − | 6.72343i | −0.962916 | − | 0.269802i | ||||
\(622\) | 26.8944 | 1.07837 | ||||||||
\(623\) | − | 7.18930i | − | 0.288033i | ||||||
\(624\) | −1.01338 | + | 0.208592i | −0.0405677 | + | 0.00835037i | ||||
\(625\) | −7.63409 | −0.305364 | ||||||||
\(626\) | 20.2868 | 0.810822 | ||||||||
\(627\) | 0.336758 | + | 1.63604i | 0.0134488 | + | 0.0653370i | ||||
\(628\) | 17.2300i | 0.687552i | ||||||||
\(629\) | 23.7293i | 0.946147i | ||||||||
\(630\) | 4.47848 | − | 1.92525i | 0.178427 | − | 0.0767039i | ||||
\(631\) | − | 3.38615i | − | 0.134801i | −0.997726 | − | 0.0674003i | \(-0.978530\pi\) | ||
0.997726 | − | 0.0674003i | \(-0.0214705\pi\) | |||||||
\(632\) | 8.69069 | 0.345697 | ||||||||
\(633\) | −6.83887 | + | 1.40770i | −0.271821 | + | 0.0559509i | ||||
\(634\) | −0.833720 | −0.0331113 | ||||||||
\(635\) | −13.3334 | −0.529122 | ||||||||
\(636\) | 7.72435 | − | 1.58996i | 0.306290 | − | 0.0630461i | ||||
\(637\) | −0.597342 | −0.0236676 | ||||||||
\(638\) | −3.83331 | −0.151762 | ||||||||
\(639\) | −3.68508 | − | 8.57214i | −0.145779 | − | 0.339109i | ||||
\(640\) | 1.62492i | 0.0642308i | ||||||||
\(641\) | 46.3194 | 1.82951 | 0.914754 | − | 0.404012i | \(-0.132385\pi\) | ||||
0.914754 | + | 0.404012i | \(0.132385\pi\) | |||||||
\(642\) | −6.64598 | − | 32.2875i | −0.262296 | − | 1.27429i | ||||
\(643\) | − | 22.8137i | − | 0.899685i | −0.893108 | − | 0.449842i | \(-0.851480\pi\) | ||
0.893108 | − | 0.449842i | \(-0.148520\pi\) | |||||||
\(644\) | 3.70303 | − | 3.04755i | 0.145920 | − | 0.120090i | ||||
\(645\) | −0.126582 | − | 0.614959i | −0.00498415 | − | 0.0242140i | ||||
\(646\) | 0.879196 | 0.0345915 | ||||||||
\(647\) | 0.303115i | 0.0119167i | 0.999982 | + | 0.00595834i | \(0.00189661\pi\) | ||||
−0.999982 | + | 0.00595834i | \(0.998103\pi\) | |||||||
\(648\) | −6.53104 | − | 6.19237i | −0.256564 | − | 0.243259i | ||||
\(649\) | 23.9456i | 0.939949i | ||||||||
\(650\) | − | 1.40950i | − | 0.0552852i | ||||||
\(651\) | 2.96082 | + | 14.3842i | 0.116044 | + | 0.563762i | ||||
\(652\) | 7.47733 | 0.292835 | ||||||||
\(653\) | 23.8710i | 0.934143i | 0.884220 | + | 0.467071i | \(0.154691\pi\) | ||||
−0.884220 | + | 0.467071i | \(0.845309\pi\) | |||||||
\(654\) | 6.59727 | − | 1.35797i | 0.257974 | − | 0.0531007i | ||||
\(655\) | − | 25.2425i | − | 0.986307i | ||||||
\(656\) | − | 5.26088i | − | 0.205403i | ||||||
\(657\) | −21.8894 | + | 9.41003i | −0.853987 | + | 0.367120i | ||||
\(658\) | − | 5.31374i | − | 0.207151i | ||||||
\(659\) | 30.8531 | 1.20187 | 0.600934 | − | 0.799299i | \(-0.294796\pi\) | ||||
0.600934 | + | 0.799299i | \(0.294796\pi\) | |||||||
\(660\) | −10.0846 | + | 2.07579i | −0.392543 | + | 0.0808002i | ||||
\(661\) | − | 45.6712i | − | 1.77640i | −0.459452 | − | 0.888202i | \(-0.651954\pi\) | ||
0.459452 | − | 0.888202i | \(-0.348046\pi\) | |||||||
\(662\) | 7.23143i | 0.281057i | ||||||||
\(663\) | −3.37980 | + | 0.695692i | −0.131261 | + | 0.0270184i | ||||
\(664\) | − | 8.43427i | − | 0.327313i | ||||||
\(665\) | −0.428351 | −0.0166108 | ||||||||
\(666\) | −19.6093 | + | 8.42985i | −0.759847 | + | 0.326650i | ||||
\(667\) | −3.88022 | + | 3.19337i | −0.150243 | + | 0.123648i | ||||
\(668\) | − | 14.5778i | − | 0.564030i | ||||||
\(669\) | −13.1142 | + | 2.69939i | −0.507023 | + | 0.104364i | ||||
\(670\) | 19.9533 | 0.770862 | ||||||||
\(671\) | 29.5898i | 1.14230i | ||||||||
\(672\) | 1.69648 | − | 0.349201i | 0.0654433 | − | 0.0134707i | ||||
\(673\) | −7.97667 | −0.307478 | −0.153739 | − | 0.988112i | \(-0.549131\pi\) | ||||
−0.153739 | + | 0.988112i | \(0.549131\pi\) | |||||||
\(674\) | −29.5714 | −1.13905 | ||||||||
\(675\) | 10.0566 | − | 7.01392i | 0.387080 | − | 0.269966i | ||||
\(676\) | 12.6432 | 0.486276 | ||||||||
\(677\) | 42.8654 | 1.64745 | 0.823726 | − | 0.566987i | \(-0.191891\pi\) | ||||
0.823726 | + | 0.566987i | \(0.191891\pi\) | |||||||
\(678\) | 5.51190 | + | 26.7779i | 0.211683 | + | 1.02840i | ||||
\(679\) | 11.3472 | 0.435464 | ||||||||
\(680\) | 5.41941i | 0.207825i | ||||||||
\(681\) | −29.7480 | + | 6.12326i | −1.13995 | + | 0.234644i | ||||
\(682\) | − | 31.0179i | − | 1.18774i | ||||||
\(683\) | 42.5519i | 1.62820i | 0.580724 | + | 0.814101i | \(0.302770\pi\) | ||||
−0.580724 | + | 0.814101i | \(0.697230\pi\) | |||||||
\(684\) | 0.312336 | + | 0.726549i | 0.0119425 | + | 0.0277803i | ||||
\(685\) | 4.00565 | 0.153048 | ||||||||
\(686\) | 1.00000 | 0.0381802 | ||||||||
\(687\) | −8.11078 | − | 39.4037i | −0.309446 | − | 1.50335i | ||||
\(688\) | − | 0.223081i | − | 0.00850489i | ||||||
\(689\) | 2.71979 | 0.103616 | ||||||||
\(690\) | −8.47874 | + | 10.5022i | −0.322780 | + | 0.399814i | ||||
\(691\) | 22.0329 | 0.838170 | 0.419085 | − | 0.907947i | \(-0.362351\pi\) | ||||
0.419085 | + | 0.907947i | \(0.362351\pi\) | |||||||
\(692\) | − | 24.9204i | − | 0.947330i | ||||||
\(693\) | 4.33442 | + | 10.0826i | 0.164651 | + | 0.383007i | ||||
\(694\) | −19.4105 | −0.736812 | ||||||||
\(695\) | 30.6898 | 1.16413 | ||||||||
\(696\) | −1.77766 | + | 0.365909i | −0.0673819 | + | 0.0138698i | ||||
\(697\) | − | 17.5460i | − | 0.664601i | ||||||
\(698\) | 8.46750i | 0.320500i | ||||||||
\(699\) | 5.65257 | + | 27.4613i | 0.213800 | + | 1.03868i | ||||
\(700\) | 2.35962i | 0.0891853i | ||||||||
\(701\) | 13.6302 | 0.514804 | 0.257402 | − | 0.966304i | \(-0.417134\pi\) | ||||
0.257402 | + | 0.966304i | \(0.417134\pi\) | |||||||
\(702\) | −1.77559 | − | 2.54585i | −0.0670152 | − | 0.0960870i | ||||
\(703\) | 1.87557 | 0.0707383 | ||||||||
\(704\) | −3.65827 | −0.137876 | ||||||||
\(705\) | 3.01515 | + | 14.6482i | 0.113557 | + | 0.551682i | ||||
\(706\) | 14.8486 | 0.558836 | ||||||||
\(707\) | −1.42782 | −0.0536987 | ||||||||
\(708\) | 2.28573 | + | 11.1045i | 0.0859031 | + | 0.417334i | ||||
\(709\) | − | 20.8496i | − | 0.783022i | −0.920173 | − | 0.391511i | \(-0.871952\pi\) | ||
0.920173 | − | 0.391511i | \(-0.128048\pi\) | |||||||
\(710\) | −5.05388 | −0.189669 | ||||||||
\(711\) | 10.2970 | + | 23.9526i | 0.386166 | + | 0.898291i | ||||
\(712\) | 7.18930i | 0.269431i | ||||||||
\(713\) | −25.8397 | − | 31.3974i | −0.967704 | − | 1.17584i | ||||
\(714\) | 5.65807 | − | 1.16465i | 0.211748 | − | 0.0435858i | ||||
\(715\) | −3.55085 | −0.132794 | ||||||||
\(716\) | 3.98382i | 0.148882i | ||||||||
\(717\) | 1.66745 | + | 8.10079i | 0.0622720 | + | 0.302530i | ||||
\(718\) | − | 19.1308i | − | 0.713955i | ||||||
\(719\) | − | 37.2938i | − | 1.39082i | −0.718611 | − | 0.695412i | \(-0.755222\pi\) | ||
0.718611 | − | 0.695412i | \(-0.244778\pi\) | |||||||
\(720\) | −4.47848 | + | 1.92525i | −0.166903 | + | 0.0717500i | ||||
\(721\) | −7.25192 | −0.270075 | ||||||||
\(722\) | 18.9305i | 0.704521i | ||||||||
\(723\) | 6.78184 | + | 32.9475i | 0.252219 | + | 1.22533i | ||||
\(724\) | 9.94679i | 0.369670i | ||||||||
\(725\) | − | 2.47252i | − | 0.0918272i | ||||||
\(726\) | −0.832130 | − | 4.04265i | −0.0308832 | − | 0.150037i | ||||
\(727\) | − | 33.0405i | − | 1.22540i | −0.790314 | − | 0.612702i | \(-0.790082\pi\) | ||
0.790314 | − | 0.612702i | \(-0.209918\pi\) | |||||||
\(728\) | 0.597342 | 0.0221390 | ||||||||
\(729\) | 9.32875 | − | 25.3372i | 0.345509 | − | 0.938415i | ||||
\(730\) | 12.9053i | 0.477648i | ||||||||
\(731\) | − | 0.744015i | − | 0.0275184i | ||||||
\(732\) | 2.82449 | + | 13.7219i | 0.104396 | + | 0.507177i | ||||
\(733\) | 35.8154i | 1.32287i | 0.750002 | + | 0.661436i | \(0.230053\pi\) | ||||
−0.750002 | + | 0.661436i | \(0.769947\pi\) | |||||||
\(734\) | 16.9690 | 0.626337 | ||||||||
\(735\) | −2.75666 | + | 0.567425i | −0.101681 | + | 0.0209298i | ||||
\(736\) | −3.70303 | + | 3.04755i | −0.136496 | + | 0.112334i | ||||
\(737\) | 44.9218i | 1.65472i | ||||||||
\(738\) | 14.4996 | − | 6.23323i | 0.533738 | − | 0.229448i | ||||
\(739\) | −7.24675 | −0.266576 | −0.133288 | − | 0.991077i | \(-0.542554\pi\) | ||||
−0.133288 | + | 0.991077i | \(0.542554\pi\) | |||||||
\(740\) | 11.5611i | 0.424994i | ||||||||
\(741\) | 0.0549876 | + | 0.267141i | 0.00202002 | + | 0.00981366i | ||||
\(742\) | −4.55315 | −0.167151 | ||||||||
\(743\) | 16.8521 | 0.618244 | 0.309122 | − | 0.951022i | \(-0.399965\pi\) | ||||
0.309122 | + | 0.951022i | \(0.399965\pi\) | |||||||
\(744\) | −2.96082 | − | 14.3842i | −0.108549 | − | 0.527351i | ||||
\(745\) | −8.28120 | −0.303400 | ||||||||
\(746\) | 8.28644 | 0.303388 | ||||||||
\(747\) | 23.2459 | − | 9.99315i | 0.850521 | − | 0.365630i | ||||
\(748\) | −12.2010 | −0.446112 | ||||||||
\(749\) | 19.0320i | 0.695414i | ||||||||
\(750\) | −4.17603 | − | 20.2880i | −0.152487 | − | 0.740812i | ||||
\(751\) | − | 15.1355i | − | 0.552303i | −0.961114 | − | 0.276152i | \(-0.910941\pi\) | ||
0.961114 | − | 0.276152i | \(-0.0890592\pi\) | |||||||
\(752\) | 5.31374i | 0.193772i | ||||||||
\(753\) | 27.9794 | − | 5.75922i | 1.01963 | − | 0.209878i | ||||
\(754\) | −0.625924 | −0.0227948 | ||||||||
\(755\) | −33.1754 | −1.20738 | ||||||||
\(756\) | 2.97248 | + | 4.26197i | 0.108108 | + | 0.155006i | ||||
\(757\) | 5.04353i | 0.183310i | 0.995791 | + | 0.0916552i | \(0.0292157\pi\) | ||||
−0.995791 | + | 0.0916552i | \(0.970784\pi\) | |||||||
\(758\) | −11.8008 | −0.428623 | ||||||||
\(759\) | −23.6442 | − | 19.0886i | −0.858231 | − | 0.692873i | ||||
\(760\) | 0.428351 | 0.0155379 | ||||||||
\(761\) | 3.56552i | 0.129250i | 0.997910 | + | 0.0646250i | \(0.0205851\pi\) | ||||
−0.997910 | + | 0.0646250i | \(0.979415\pi\) | |||||||
\(762\) | −2.86539 | − | 13.9206i | −0.103802 | − | 0.504292i | ||||
\(763\) | −3.88879 | −0.140784 | ||||||||
\(764\) | 3.68150 | 0.133192 | ||||||||
\(765\) | −14.9365 | + | 6.42106i | −0.540031 | + | 0.232154i | ||||
\(766\) | 29.3281i | 1.05967i | ||||||||
\(767\) | 3.90997i | 0.141181i | ||||||||
\(768\) | −1.69648 | + | 0.349201i | −0.0612166 | + | 0.0126007i | ||||
\(769\) | 30.6344i | 1.10471i | 0.833610 | + | 0.552353i | \(0.186270\pi\) | ||||
−0.833610 | + | 0.552353i | \(0.813730\pi\) | |||||||
\(770\) | 5.94442 | 0.214222 | ||||||||
\(771\) | −2.68476 | − | 13.0431i | −0.0966893 | − | 0.469735i | ||||
\(772\) | −15.8377 | −0.570012 | ||||||||
\(773\) | 8.39001 | 0.301768 | 0.150884 | − | 0.988551i | \(-0.451788\pi\) | ||||
0.150884 | + | 0.988551i | \(0.451788\pi\) | |||||||
\(774\) | 0.614838 | − | 0.264313i | 0.0220999 | − | 0.00950052i | ||||
\(775\) | 20.0068 | 0.718667 | ||||||||
\(776\) | −11.3472 | −0.407340 | ||||||||
\(777\) | 12.0702 | − | 2.48451i | 0.433017 | − | 0.0891312i | ||||
\(778\) | − | 24.4234i | − | 0.875621i | ||||||
\(779\) | −1.38684 | −0.0496886 | ||||||||
\(780\) | −1.64667 | + | 0.338947i | −0.0589602 | + | 0.0121362i | ||||
\(781\) | − | 11.3780i | − | 0.407138i | ||||||
\(782\) | −12.3503 | + | 10.1641i | −0.441644 | + | 0.363468i | ||||
\(783\) | −3.11471 | − | 4.46590i | −0.111310 | − | 0.159598i | ||||
\(784\) | −1.00000 | −0.0357143 | ||||||||
\(785\) | 27.9975i | 0.999272i | ||||||||
\(786\) | 26.3542 | − | 5.42468i | 0.940022 | − | 0.193492i | ||||
\(787\) | − | 18.3373i | − | 0.653652i | −0.945084 | − | 0.326826i | \(-0.894021\pi\) | ||
0.945084 | − | 0.326826i | \(-0.105979\pi\) | |||||||
\(788\) | − | 0.305296i | − | 0.0108757i | ||||||
\(789\) | 0.565646 | − | 0.116431i | 0.0201375 | − | 0.00414507i | ||||
\(790\) | 14.1217 | 0.502428 | ||||||||
\(791\) | − | 15.7843i | − | 0.561226i | ||||||
\(792\) | −4.33442 | − | 10.0826i | −0.154017 | − | 0.358271i | ||||
\(793\) | 4.83157i | 0.171574i | ||||||||
\(794\) | 10.0167i | 0.355479i | ||||||||
\(795\) | 12.5515 | − | 2.58357i | 0.445155 | − | 0.0916297i | ||||
\(796\) | − | 19.0168i | − | 0.674032i | ||||||
\(797\) | 11.1973 | 0.396630 | 0.198315 | − | 0.980138i | \(-0.436453\pi\) | ||||
0.198315 | + | 0.980138i | \(0.436453\pi\) | |||||||
\(798\) | −0.0920539 | − | 0.447216i | −0.00325867 | − | 0.0158313i | ||||
\(799\) | 17.7223i | 0.626969i | ||||||||
\(800\) | − | 2.35962i | − | 0.0834252i | ||||||
\(801\) | −19.8146 | + | 8.51808i | −0.700113 | + | 0.300972i | ||||
\(802\) | − | 15.2935i | − | 0.540034i | ||||||
\(803\) | −29.0544 | −1.02531 | ||||||||
\(804\) | 4.28801 | + | 20.8320i | 0.151227 | + | 0.734688i | ||||
\(805\) | 6.01715 | − | 4.95204i | 0.212077 | − | 0.174536i | ||||
\(806\) | − | 5.06477i | − | 0.178399i | ||||||
\(807\) | 1.43299 | + | 6.96177i | 0.0504438 | + | 0.245066i | ||||
\(808\) | 1.42782 | 0.0502305 | ||||||||
\(809\) | − | 47.6578i | − | 1.67556i | −0.546009 | − | 0.837779i | \(-0.683854\pi\) | ||
0.546009 | − | 0.837779i | \(-0.316146\pi\) | |||||||
\(810\) | −10.6125 | − | 10.0621i | −0.372884 | − | 0.353547i | ||||
\(811\) | 43.1464 | 1.51507 | 0.757537 | − | 0.652792i | \(-0.226402\pi\) | ||||
0.757537 | + | 0.652792i | \(0.226402\pi\) | |||||||
\(812\) | 1.04785 | 0.0367723 | ||||||||
\(813\) | −21.1740 | + | 4.35840i | −0.742603 | + | 0.152856i | ||||
\(814\) | −26.0280 | −0.912282 | ||||||||
\(815\) | 12.1501 | 0.425599 | ||||||||
\(816\) | −5.65807 | + | 1.16465i | −0.198072 | + | 0.0407707i | ||||
\(817\) | −0.0588071 | −0.00205740 | ||||||||
\(818\) | − | 4.70430i | − | 0.164482i | ||||||
\(819\) | 0.707747 | + | 1.64635i | 0.0247307 | + | 0.0575280i | ||||
\(820\) | − | 8.54853i | − | 0.298528i | ||||||
\(821\) | − | 27.2143i | − | 0.949786i | −0.880043 | − | 0.474893i | \(-0.842487\pi\) | ||
0.880043 | − | 0.474893i | \(-0.157513\pi\) | |||||||
\(822\) | 0.860824 | + | 4.18205i | 0.0300247 | + | 0.145866i | ||||
\(823\) | −48.4831 | −1.69001 | −0.845007 | − | 0.534755i | \(-0.820404\pi\) | ||||
−0.845007 | + | 0.534755i | \(0.820404\pi\) | |||||||
\(824\) | 7.25192 | 0.252632 | ||||||||
\(825\) | 14.6443 | − | 3.01435i | 0.509848 | − | 0.104946i | ||||
\(826\) | − | 6.54561i | − | 0.227751i | ||||||
\(827\) | 13.2360 | 0.460261 | 0.230131 | − | 0.973160i | \(-0.426085\pi\) | ||||
0.230131 | + | 0.973160i | \(0.426085\pi\) | |||||||
\(828\) | −12.7869 | − | 6.59518i | −0.444374 | − | 0.229198i | ||||
\(829\) | 24.3367 | 0.845248 | 0.422624 | − | 0.906305i | \(-0.361109\pi\) | ||||
0.422624 | + | 0.906305i | \(0.361109\pi\) | |||||||
\(830\) | − | 13.7051i | − | 0.475710i | ||||||
\(831\) | 21.2243 | − | 4.36876i | 0.736263 | − | 0.151551i | ||||
\(832\) | −0.597342 | −0.0207091 | ||||||||
\(833\) | −3.33518 | −0.115557 | ||||||||
\(834\) | 6.59531 | + | 32.0413i | 0.228377 | + | 1.10950i | ||||
\(835\) | − | 23.6877i | − | 0.819748i | ||||||
\(836\) | 0.964369i | 0.0333534i | ||||||||
\(837\) | 36.1366 | − | 25.2032i | 1.24906 | − | 0.871149i | ||||
\(838\) | 4.67669i | 0.161554i | ||||||||
\(839\) | −13.9450 | −0.481435 | −0.240717 | − | 0.970595i | \(-0.577383\pi\) | ||||
−0.240717 | + | 0.970595i | \(0.577383\pi\) | |||||||
\(840\) | 2.75666 | − | 0.567425i | 0.0951138 | − | 0.0195780i | ||||
\(841\) | 27.9020 | 0.962138 | ||||||||
\(842\) | 31.7808 | 1.09524 | ||||||||
\(843\) | −13.9901 | + | 2.87969i | −0.481844 | + | 0.0991816i | ||||
\(844\) | −4.03120 | −0.138760 | ||||||||
\(845\) | 20.5442 | 0.706743 | ||||||||
\(846\) | −14.6453 | + | 6.29586i | −0.503516 | + | 0.216456i | ||||
\(847\) | 2.38296i | 0.0818794i | ||||||||
\(848\) | 4.55315 | 0.156356 | ||||||||
\(849\) | −1.79040 | − | 8.69810i | −0.0614463 | − | 0.298518i | ||||
\(850\) | − | 7.86975i | − | 0.269930i | ||||||
\(851\) | −26.3465 | + | 21.6828i | −0.903146 | + | 0.743278i | ||||
\(852\) | −1.08609 | − | 5.27644i | −0.0372089 | − | 0.180768i | ||||
\(853\) | 27.1030 | 0.927989 | 0.463995 | − | 0.885838i | \(-0.346416\pi\) | ||||
0.463995 | + | 0.885838i | \(0.346416\pi\) | |||||||
\(854\) | − | 8.08845i | − | 0.276781i | ||||||
\(855\) | 0.507522 | + | 1.18059i | 0.0173569 | + | 0.0403752i | ||||
\(856\) | − | 19.0320i | − | 0.650500i | ||||||
\(857\) | 14.4067i | 0.492123i | 0.969254 | + | 0.246062i | \(0.0791366\pi\) | ||||
−0.969254 | + | 0.246062i | \(0.920863\pi\) | |||||||
\(858\) | −0.763087 | − | 3.70723i | −0.0260514 | − | 0.126563i | ||||
\(859\) | 21.3818 | 0.729537 | 0.364769 | − | 0.931098i | \(-0.381148\pi\) | ||||
0.364769 | + | 0.931098i | \(0.381148\pi\) | |||||||
\(860\) | − | 0.362490i | − | 0.0123608i | ||||||
\(861\) | −8.92500 | + | 1.83710i | −0.304163 | + | 0.0626083i | ||||
\(862\) | − | 15.3395i | − | 0.522466i | ||||||
\(863\) | 21.3957i | 0.728317i | 0.931337 | + | 0.364158i | \(0.118643\pi\) | ||||
−0.931337 | + | 0.364158i | \(0.881357\pi\) | |||||||
\(864\) | −2.97248 | − | 4.26197i | −0.101126 | − | 0.144995i | ||||
\(865\) | − | 40.4937i | − | 1.37683i | ||||||
\(866\) | −6.23378 | −0.211832 | ||||||||
\(867\) | 9.96956 | − | 2.05211i | 0.338584 | − | 0.0696934i | ||||
\(868\) | 8.47884i | 0.287791i | ||||||||
\(869\) | 31.7929i | 1.07850i | ||||||||
\(870\) | −2.88856 | + | 0.594575i | −0.0979313 | + | 0.0201580i | ||||
\(871\) | 7.33507i | 0.248539i | ||||||||
\(872\) | 3.88879 | 0.131691 | ||||||||
\(873\) | −13.4444 | − | 31.2741i | −0.455025 | − | 1.05847i | ||||
\(874\) | 0.803374 | + | 0.976168i | 0.0271745 | + | 0.0330194i | ||||
\(875\) | 11.9588i | 0.404282i | ||||||||
\(876\) | −13.4737 | + | 2.77339i | −0.455233 | + | 0.0937042i | ||||
\(877\) | 21.9445 | 0.741014 | 0.370507 | − | 0.928830i | \(-0.379184\pi\) | ||||
0.370507 | + | 0.928830i | \(0.379184\pi\) | |||||||
\(878\) | 12.4195i | 0.419139i | ||||||||
\(879\) | −15.4996 | + | 3.19040i | −0.522788 | + | 0.107609i | ||||
\(880\) | −5.94442 | −0.200386 | ||||||||
\(881\) | 6.85646 | 0.231000 | 0.115500 | − | 0.993307i | \(-0.463153\pi\) | ||||
0.115500 | + | 0.993307i | \(0.463153\pi\) | |||||||
\(882\) | −1.18483 | − | 2.75612i | −0.0398952 | − | 0.0928033i | ||||
\(883\) | −35.8566 | −1.20667 | −0.603335 | − | 0.797488i | \(-0.706162\pi\) | ||||
−0.603335 | + | 0.797488i | \(0.706162\pi\) | |||||||
\(884\) | −1.99224 | −0.0670063 | ||||||||
\(885\) | 3.71414 | + | 18.0440i | 0.124850 | + | 0.606543i | ||||
\(886\) | −12.9908 | −0.436436 | ||||||||
\(887\) | − | 51.5490i | − | 1.73085i | −0.501043 | − | 0.865423i | \(-0.667050\pi\) | ||
0.501043 | − | 0.865423i | \(-0.332950\pi\) | |||||||
\(888\) | −12.0702 | + | 2.48451i | −0.405050 | + | 0.0833746i | ||||
\(889\) | 8.20558i | 0.275206i | ||||||||
\(890\) | 11.6821i | 0.391584i | ||||||||
\(891\) | 22.6534 | − | 23.8923i | 0.758917 | − | 0.800423i | ||||
\(892\) | −7.73020 | −0.258826 | ||||||||
\(893\) | 1.40077 | 0.0468751 | ||||||||
\(894\) | −1.77965 | − | 8.64589i | −0.0595205 | − | 0.289162i | ||||
\(895\) | 6.47340i | 0.216382i | ||||||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −3.86075 | − | 3.11689i | −0.128907 | − | 0.104070i | ||||
\(898\) | 10.8729 | 0.362832 | ||||||||
\(899\) | − | 8.88454i | − | 0.296316i | ||||||
\(900\) | 6.50339 | − | 2.79574i | 0.216780 | − | 0.0931914i | ||||
\(901\) | 15.1856 | 0.505904 | ||||||||
\(902\) | 19.2457 | 0.640813 | ||||||||
\(903\) | −0.378454 | + | 0.0779001i | −0.0125942 | + | 0.00259235i | ||||
\(904\) | 15.7843i | 0.524979i | ||||||||
\(905\) | 16.1628i | 0.537269i | ||||||||
\(906\) | −7.12949 | − | 34.6365i | −0.236861 | − | 1.15072i | ||||
\(907\) | − | 43.1190i | − | 1.43174i | −0.698232 | − | 0.715872i | \(-0.746030\pi\) | ||
0.698232 | − | 0.715872i | \(-0.253970\pi\) | |||||||
\(908\) | −17.5351 | −0.581922 | ||||||||
\(909\) | 1.69172 | + | 3.93524i | 0.0561108 | + | 0.130524i | ||||
\(910\) | 0.970636 | 0.0321763 | ||||||||
\(911\) | −14.9949 | −0.496803 | −0.248401 | − | 0.968657i | \(-0.579905\pi\) | ||||
−0.248401 | + | 0.968657i | \(0.579905\pi\) | |||||||
\(912\) | 0.0920539 | + | 0.447216i | 0.00304821 | + | 0.0148088i | ||||
\(913\) | 30.8549 | 1.02115 | ||||||||
\(914\) | 38.8414 | 1.28476 | ||||||||
\(915\) | 4.58959 | + | 22.2971i | 0.151727 | + | 0.737120i | ||||
\(916\) | − | 23.2267i | − | 0.767432i | ||||||
\(917\) | −15.5346 | −0.512997 | ||||||||
\(918\) | −9.91374 | − | 14.2144i | −0.327202 | − | 0.469146i | ||||
\(919\) | − | 36.8676i | − | 1.21615i | −0.793880 | − | 0.608075i | \(-0.791942\pi\) | ||
0.793880 | − | 0.608075i | \(-0.208058\pi\) | |||||||
\(920\) | −6.01715 | + | 4.95204i | −0.198379 | + | 0.163264i | ||||
\(921\) | 4.86517 | − | 1.00144i | 0.160313 | − | 0.0329985i | ||||
\(922\) | −1.76466 | −0.0581159 | ||||||||
\(923\) | − | 1.85787i | − | 0.0611524i | ||||||
\(924\) | 1.27747 | + | 6.20620i | 0.0420257 | + | 0.204169i | ||||
\(925\) | − | 16.7883i | − | 0.551997i | ||||||
\(926\) | − | 7.78106i | − | 0.255701i | ||||||
\(927\) | 8.59226 | + | 19.9871i | 0.282207 | + | 0.656464i | ||||
\(928\) | −1.04785 | −0.0343973 | ||||||||
\(929\) | 26.3917i | 0.865884i | 0.901422 | + | 0.432942i | \(0.142524\pi\) | ||||
−0.901422 | + | 0.432942i | \(0.857476\pi\) | |||||||
\(930\) | −4.81110 | − | 23.3733i | −0.157762 | − | 0.766440i | ||||
\(931\) | 0.263613i | 0.00863957i | ||||||||
\(932\) | 16.1872i | 0.530228i | ||||||||
\(933\) | 9.39155 | + | 45.6260i | 0.307466 | + | 1.49373i | ||||
\(934\) | − | 30.4169i | − | 0.995272i | ||||||
\(935\) | −19.8257 | −0.648369 | ||||||||
\(936\) | −0.707747 | − | 1.64635i | −0.0231334 | − | 0.0538125i | ||||
\(937\) | 14.4528i | 0.472154i | 0.971734 | + | 0.236077i | \(0.0758617\pi\) | ||||
−0.971734 | + | 0.236077i | \(0.924138\pi\) | |||||||
\(938\) | − | 12.2795i | − | 0.400940i | ||||||
\(939\) | 7.08415 | + | 34.4162i | 0.231183 | + | 1.12313i | ||||
\(940\) | 8.63443i | 0.281624i | ||||||||
\(941\) | 46.3805 | 1.51196 | 0.755981 | − | 0.654594i | \(-0.227160\pi\) | ||||
0.755981 | + | 0.654594i | \(0.227160\pi\) | |||||||
\(942\) | −29.2304 | + | 6.01673i | −0.952379 | + | 0.196036i | ||||
\(943\) | 19.4812 | − | 16.0328i | 0.634395 | − | 0.522099i | ||||
\(944\) | 6.54561i | 0.213042i | ||||||||
\(945\) | 4.83005 | + | 6.92538i | 0.157122 | + | 0.225283i | ||||
\(946\) | 0.816092 | 0.0265334 | ||||||||
\(947\) | − | 36.0124i | − | 1.17024i | −0.810945 | − | 0.585122i | \(-0.801047\pi\) | ||
0.810945 | − | 0.585122i | \(-0.198953\pi\) | |||||||
\(948\) | 3.03479 | + | 14.7436i | 0.0985655 | + | 0.478850i | ||||
\(949\) | −4.74416 | −0.154002 | ||||||||
\(950\) | −0.622027 | −0.0201812 | ||||||||
\(951\) | −0.291136 | − | 1.41439i | −0.00944072 | − | 0.0458649i | ||||
\(952\) | 3.33518 | 0.108094 | ||||||||
\(953\) | 12.5968 | 0.408050 | 0.204025 | − | 0.978966i | \(-0.434598\pi\) | ||||
0.204025 | + | 0.978966i | \(0.434598\pi\) | |||||||
\(954\) | 5.39469 | + | 12.5490i | 0.174660 | + | 0.406289i | ||||
\(955\) | 5.98216 | 0.193578 | ||||||||
\(956\) | 4.77505i | 0.154436i | ||||||||
\(957\) | −1.33860 | − | 6.50316i | −0.0432706 | − | 0.210217i | ||||
\(958\) | − | 20.8015i | − | 0.672065i | ||||||
\(959\) | − | 2.46513i | − | 0.0796032i | ||||||
\(960\) | −2.75666 | + | 0.567425i | −0.0889708 | + | 0.0183135i | ||||
\(961\) | 40.8907 | 1.31906 | ||||||||
\(962\) | −4.24999 | −0.137025 | ||||||||
\(963\) | 52.4544 | − | 22.5496i | 1.69032 | − | 0.726651i | ||||
\(964\) | 19.4210i | 0.625509i | ||||||||
\(965\) | −25.7351 | −0.828443 | ||||||||
\(966\) | 6.46322 | + | 5.21793i | 0.207951 | + | 0.167884i | ||||
\(967\) | 57.3475 | 1.84417 | 0.922086 | − | 0.386985i | \(-0.126483\pi\) | ||||
0.922086 | + | 0.386985i | \(0.126483\pi\) | |||||||
\(968\) | − | 2.38296i | − | 0.0765911i | ||||||
\(969\) | 0.307016 | + | 1.49154i | 0.00986277 | + | 0.0479153i | ||||
\(970\) | −18.4383 | −0.592018 | ||||||||
\(971\) | 48.8825 | 1.56871 | 0.784357 | − | 0.620310i | \(-0.212993\pi\) | ||||
0.784357 | + | 0.620310i | \(0.212993\pi\) | |||||||
\(972\) | 8.22462 | − | 13.2422i | 0.263805 | − | 0.424744i | ||||
\(973\) | − | 18.8869i | − | 0.605486i | ||||||
\(974\) | 17.8807i | 0.572933i | ||||||||
\(975\) | 2.39120 | − | 0.492198i | 0.0765795 | − | 0.0157630i | ||||
\(976\) | 8.08845i | 0.258905i | ||||||||
\(977\) | 45.5422 | 1.45702 | 0.728512 | − | 0.685033i | \(-0.240212\pi\) | ||||
0.728512 | + | 0.685033i | \(0.240212\pi\) | |||||||
\(978\) | 2.61109 | + | 12.6852i | 0.0834934 | + | 0.405627i | ||||
\(979\) | −26.3004 | −0.840565 | ||||||||
\(980\) | −1.62492 | −0.0519063 | ||||||||
\(981\) | 4.60754 | + | 10.7180i | 0.147107 | + | 0.342198i | ||||
\(982\) | 39.8488 | 1.27163 | ||||||||
\(983\) | 49.5597 | 1.58071 | 0.790354 | − | 0.612651i | \(-0.209897\pi\) | ||||
0.790354 | + | 0.612651i | \(0.209897\pi\) | |||||||
\(984\) | 8.92500 | − | 1.83710i | 0.284519 | − | 0.0585647i | ||||
\(985\) | − | 0.496083i | − | 0.0158065i | ||||||
\(986\) | −3.49476 | −0.111296 | ||||||||
\(987\) | 9.01468 | − | 1.85556i | 0.286940 | − | 0.0590632i | ||||
\(988\) | 0.157467i | 0.00500970i | ||||||||
\(989\) | 0.826077 | − | 0.679851i | 0.0262677 | − | 0.0216180i | ||||
\(990\) | −7.04310 | − | 16.3835i | −0.223844 | − | 0.520702i | ||||
\(991\) | −57.2513 | −1.81865 | −0.909324 | − | 0.416089i | \(-0.863401\pi\) | ||||
−0.909324 | + | 0.416089i | \(0.863401\pi\) | |||||||
\(992\) | − | 8.47884i | − | 0.269203i | ||||||
\(993\) | −12.2680 | + | 2.52522i | −0.389313 | + | 0.0801354i | ||||
\(994\) | 3.11022i | 0.0986503i | ||||||||
\(995\) | − | 30.9009i | − | 0.979623i | ||||||
\(996\) | 14.3086 | − | 2.94525i | 0.453386 | − | 0.0933239i | ||||
\(997\) | 19.0936 | 0.604699 | 0.302350 | − | 0.953197i | \(-0.402229\pi\) | ||||
0.302350 | + | 0.953197i | \(0.402229\pi\) | |||||||
\(998\) | − | 32.2348i | − | 1.02037i | ||||||
\(999\) | −21.1487 | − | 30.3232i | −0.669116 | − | 0.959385i |
(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 | 966.2.h.b.827.13 | yes | 24 | |
3.2 | odd | 2 | 966.2.h.a.827.1 | ✓ | 24 | ||
23.22 | odd | 2 | 966.2.h.a.827.13 | yes | 24 | ||
69.68 | even | 2 | inner | 966.2.h.b.827.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.h.a.827.1 | ✓ | 24 | 3.2 | odd | 2 | ||
966.2.h.a.827.13 | yes | 24 | 23.22 | odd | 2 | ||
966.2.h.b.827.1 | yes | 24 | 69.68 | even | 2 | inner | |
966.2.h.b.827.13 | yes | 24 | 1.1 | even | 1 | trivial |