Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2646,2,Mod(521,2646)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2646, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2646.521");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2646 = 2 \cdot 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2646.l (of order \(6\), degree \(2\), not 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: | \(21.1284163748\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 9x^{12} + 54x^{10} - 288x^{8} + 486x^{6} + 729x^{4} - 4374x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{25}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 1097.4 | ||
Root | \(1.69547 + 0.354107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2646.1097 |
Dual form | 2646.2.l.b.521.8 |
$q$-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 \(\left(\mathbb{Z}/2646\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.895175 | + | 1.55049i | 0.400334 | + | 0.693399i | 0.993766 | − | 0.111485i | \(-0.0355607\pi\) |
−0.593432 | + | 0.804884i | \(0.702227\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.55049 | − | 0.895175i | 0.490307 | − | 0.283079i | ||||
\(11\) | −2.07976 | − | 1.20075i | −0.627072 | − | 0.362040i | 0.152545 | − | 0.988297i | \(-0.451253\pi\) |
−0.779617 | + | 0.626256i | \(0.784586\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.23601 | − | 2.44566i | −1.17486 | − | 0.678305i | −0.220039 | − | 0.975491i | \(-0.570618\pi\) |
−0.954820 | + | 0.297186i | \(0.903952\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.83233 | + | 3.17369i | 0.444406 | + | 0.769734i | 0.998011 | − | 0.0630460i | \(-0.0200815\pi\) |
−0.553605 | + | 0.832780i | \(0.686748\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.61281 | + | 1.50851i | 0.599419 | + | 0.346075i | 0.768813 | − | 0.639474i | \(-0.220848\pi\) |
−0.169394 | + | 0.985548i | \(0.554181\pi\) | |||||||
\(20\) | −0.895175 | − | 1.55049i | −0.200167 | − | 0.346700i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.20075 | + | 2.07976i | −0.256001 | + | 0.443407i | ||||
\(23\) | 3.26178 | − | 1.88319i | 0.680129 | − | 0.392673i | −0.119775 | − | 0.992801i | \(-0.538217\pi\) |
0.799904 | + | 0.600128i | \(0.204884\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.897324 | − | 1.55421i | 0.179465 | − | 0.310842i | ||||
\(26\) | −2.44566 | + | 4.23601i | −0.479634 | + | 0.830750i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.68202 | − | 3.28052i | 1.05512 | − | 0.609176i | 0.131045 | − | 0.991376i | \(-0.458167\pi\) |
0.924080 | + | 0.382200i | \(0.124833\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.64661i | 0.834556i | 0.908779 | + | 0.417278i | \(0.137016\pi\) | ||||
−0.908779 | + | 0.417278i | \(0.862984\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.17369 | − | 1.83233i | 0.544284 | − | 0.314242i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.68202 | + | 8.10950i | −0.769719 | + | 1.33319i | 0.167996 | + | 0.985788i | \(0.446271\pi\) |
−0.937715 | + | 0.347405i | \(0.887063\pi\) | |||||||
\(38\) | 1.50851 | − | 2.61281i | 0.244712 | − | 0.423853i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.55049 | + | 0.895175i | −0.245154 | + | 0.141540i | ||||
\(41\) | 4.04094 | − | 6.99911i | 0.631088 | − | 1.09308i | −0.356241 | − | 0.934394i | \(-0.615942\pi\) |
0.987330 | − | 0.158683i | \(-0.0507248\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.48127 | − | 6.02973i | −0.530888 | − | 0.919526i | −0.999350 | − | 0.0360419i | \(-0.988525\pi\) |
0.468462 | − | 0.883484i | \(-0.344808\pi\) | |||||||
\(44\) | 2.07976 | + | 1.20075i | 0.313536 | + | 0.181020i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.88319 | − | 3.26178i | −0.277661 | − | 0.480924i | ||||
\(47\) | 5.13604 | 0.749169 | 0.374584 | − | 0.927193i | \(-0.377785\pi\) | ||||
0.374584 | + | 0.927193i | \(0.377785\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.55421 | − | 0.897324i | −0.219799 | − | 0.126901i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.23601 | + | 2.44566i | 0.587429 | + | 0.339152i | ||||
\(53\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 4.29953i | − | 0.579749i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.28052 | − | 5.68202i | −0.430753 | − | 0.746086i | ||||
\(59\) | 14.5900 | 1.89946 | 0.949729 | − | 0.313073i | \(-0.101359\pi\) | ||||
0.949729 | + | 0.313073i | \(0.101359\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.3283i | 1.45044i | 0.688518 | + | 0.725219i | \(0.258262\pi\) | ||||
−0.688518 | + | 0.725219i | \(0.741738\pi\) | |||||||
\(62\) | 4.64661 | 0.590120 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | − | 8.75718i | − | 1.08619i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.570231 | 0.0696648 | 0.0348324 | − | 0.999393i | \(-0.488910\pi\) | ||||
0.0348324 | + | 0.999393i | \(0.488910\pi\) | |||||||
\(68\) | −1.83233 | − | 3.17369i | −0.222203 | − | 0.384867i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.96254i | 0.707623i | 0.935317 | + | 0.353811i | \(0.115115\pi\) | ||||
−0.935317 | + | 0.353811i | \(0.884885\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.7226 | − | 6.19070i | 1.25499 | − | 0.724567i | 0.282891 | − | 0.959152i | \(-0.408706\pi\) |
0.972096 | + | 0.234585i | \(0.0753731\pi\) | |||||||
\(74\) | 8.10950 | + | 4.68202i | 0.942710 | + | 0.544274i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.61281 | − | 1.50851i | −0.299710 | − | 0.173037i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.03663 | 0.341647 | 0.170824 | − | 0.985302i | \(-0.445357\pi\) | ||||
0.170824 | + | 0.985302i | \(0.445357\pi\) | |||||||
\(80\) | 0.895175 | + | 1.55049i | 0.100084 | + | 0.173350i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.99911 | − | 4.04094i | −0.772922 | − | 0.446247i | ||||
\(83\) | 7.00270 | + | 12.1290i | 0.768646 | + | 1.33133i | 0.938297 | + | 0.345830i | \(0.112403\pi\) |
−0.169651 | + | 0.985504i | \(0.554264\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.28052 | + | 5.68202i | −0.355822 | + | 0.616302i | ||||
\(86\) | −6.02973 | + | 3.48127i | −0.650203 | + | 0.375395i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.20075 | − | 2.07976i | 0.128001 | − | 0.221704i | ||||
\(89\) | −1.87432 | + | 3.24641i | −0.198677 | + | 0.344119i | −0.948100 | − | 0.317973i | \(-0.896998\pi\) |
0.749423 | + | 0.662092i | \(0.230331\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.26178 | + | 1.88319i | −0.340064 | + | 0.196336i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 5.13604i | − | 0.529742i | ||||||
\(95\) | 5.40150i | 0.554183i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.77256 | − | 2.75544i | 0.484580 | − | 0.279772i | −0.237743 | − | 0.971328i | \(-0.576408\pi\) |
0.722323 | + | 0.691556i | \(0.243074\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.897324 | + | 1.55421i | −0.0897324 | + | 0.155421i | ||||
\(101\) | 0.125162 | − | 0.216787i | 0.0124541 | − | 0.0215711i | −0.859731 | − | 0.510747i | \(-0.829369\pi\) |
0.872185 | + | 0.489176i | \(0.162702\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.145433 | + | 0.0839657i | −0.0143299 | + | 0.00827339i | −0.507148 | − | 0.861859i | \(-0.669300\pi\) |
0.492818 | + | 0.870132i | \(0.335967\pi\) | |||||||
\(104\) | 2.44566 | − | 4.23601i | 0.239817 | − | 0.415375i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.92024 | + | 3.99540i | 0.669004 | + | 0.386250i | 0.795699 | − | 0.605692i | \(-0.207104\pi\) |
−0.126695 | + | 0.991942i | \(0.540437\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.47667 | + | 16.4141i | 0.907700 | + | 1.57218i | 0.817251 | + | 0.576282i | \(0.195497\pi\) |
0.0904491 | + | 0.995901i | \(0.471170\pi\) | |||||||
\(110\) | −4.29953 | −0.409944 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.00418 | + | 0.579764i | 0.0944653 | + | 0.0545396i | 0.546488 | − | 0.837467i | \(-0.315964\pi\) |
−0.452023 | + | 0.892006i | \(0.649298\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.83973 | + | 3.37157i | 0.544558 | + | 0.314401i | ||||
\(116\) | −5.68202 | + | 3.28052i | −0.527562 | + | 0.304588i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 14.5900i | − | 1.34312i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.61639 | − | 4.53172i | −0.237854 | − | 0.411974i | ||||
\(122\) | 11.3283 | 1.02561 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 4.64661i | − | 0.417278i | ||||||
\(125\) | 12.1648 | 1.08805 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.40150 | 0.124363 | 0.0621817 | − | 0.998065i | \(-0.480194\pi\) | ||||
0.0621817 | + | 0.998065i | \(0.480194\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.75718 | −0.768056 | ||||||||
\(131\) | 5.24589 | + | 9.08614i | 0.458335 | + | 0.793860i | 0.998873 | − | 0.0474597i | \(-0.0151126\pi\) |
−0.540538 | + | 0.841320i | \(0.681779\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 0.570231i | − | 0.0492604i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.17369 | + | 1.83233i | −0.272142 | + | 0.157121i | ||||
\(137\) | −4.08812 | − | 2.36028i | −0.349272 | − | 0.201652i | 0.315093 | − | 0.949061i | \(-0.397964\pi\) |
−0.664365 | + | 0.747409i | \(0.731298\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.04707 | − | 1.18187i | −0.173630 | − | 0.100245i | 0.410666 | − | 0.911786i | \(-0.365296\pi\) |
−0.584296 | + | 0.811540i | \(0.698629\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.96254 | 0.500365 | ||||||||
\(143\) | 5.87327 | + | 10.1728i | 0.491148 | + | 0.850692i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.1728 | + | 5.87327i | 0.844805 | + | 0.487749i | ||||
\(146\) | −6.19070 | − | 10.7226i | −0.512346 | − | 0.887410i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.68202 | − | 8.10950i | 0.384860 | − | 0.666597i | ||||
\(149\) | −15.0377 | + | 8.68202i | −1.23194 | + | 0.711259i | −0.967433 | − | 0.253126i | \(-0.918541\pi\) |
−0.264503 | + | 0.964385i | \(0.585208\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.61639 | − | 9.72787i | 0.457055 | − | 0.791643i | −0.541749 | − | 0.840541i | \(-0.682238\pi\) |
0.998804 | + | 0.0488977i | \(0.0155708\pi\) | |||||||
\(152\) | −1.50851 | + | 2.61281i | −0.122356 | + | 0.211927i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.20451 | + | 4.15953i | −0.578680 | + | 0.334101i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 13.8431i | − | 1.10480i | −0.833580 | − | 0.552399i | \(-0.813713\pi\) | ||
0.833580 | − | 0.552399i | \(-0.186287\pi\) | |||||||
\(158\) | − | 3.03663i | − | 0.241581i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.55049 | − | 0.895175i | 0.122577 | − | 0.0707698i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.16789 | − | 3.75489i | 0.169802 | − | 0.294106i | −0.768548 | − | 0.639792i | \(-0.779020\pi\) |
0.938350 | + | 0.345686i | \(0.112354\pi\) | |||||||
\(164\) | −4.04094 | + | 6.99911i | −0.315544 | + | 0.546539i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.1290 | − | 7.00270i | 0.941395 | − | 0.543515i | ||||
\(167\) | 6.20756 | − | 10.7518i | 0.480355 | − | 0.832000i | −0.519391 | − | 0.854537i | \(-0.673841\pi\) |
0.999746 | + | 0.0225370i | \(0.00717435\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.46254 | + | 9.46139i | 0.420195 | + | 0.727799i | ||||
\(170\) | 5.68202 | + | 3.28052i | 0.435791 | + | 0.251604i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.48127 | + | 6.02973i | 0.265444 | + | 0.459763i | ||||
\(173\) | 17.4182 | 1.32428 | 0.662139 | − | 0.749381i | \(-0.269649\pi\) | ||||
0.662139 | + | 0.749381i | \(0.269649\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.07976 | − | 1.20075i | −0.156768 | − | 0.0905101i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.24641 | + | 1.87432i | 0.243329 | + | 0.140486i | ||||
\(179\) | 11.3640 | − | 6.56103i | 0.849388 | − | 0.490395i | −0.0110562 | − | 0.999939i | \(-0.503519\pi\) |
0.860444 | + | 0.509544i | \(0.170186\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 13.3577i | − | 0.992873i | −0.868073 | − | 0.496437i | \(-0.834641\pi\) | ||
0.868073 | − | 0.496437i | \(-0.165359\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.88319 | + | 3.26178i | 0.138831 | + | 0.240462i | ||||
\(185\) | −16.7649 | −1.23258 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 8.80071i | − | 0.643572i | ||||||
\(188\) | −5.13604 | −0.374584 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.40150 | 0.391866 | ||||||||
\(191\) | 9.25333i | 0.669547i | 0.942299 | + | 0.334774i | \(0.108660\pi\) | ||||
−0.942299 | + | 0.334774i | \(0.891340\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −24.5602 | −1.76788 | −0.883941 | − | 0.467599i | \(-0.845119\pi\) | ||||
−0.883941 | + | 0.467599i | \(0.845119\pi\) | |||||||
\(194\) | −2.75544 | − | 4.77256i | −0.197829 | − | 0.342650i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 12.4861i | − | 0.889598i | −0.895630 | − | 0.444799i | \(-0.853275\pi\) | ||
0.895630 | − | 0.444799i | \(-0.146725\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.155144 | + | 0.0895727i | −0.0109979 | + | 0.00634964i | −0.505489 | − | 0.862833i | \(-0.668688\pi\) |
0.494491 | + | 0.869183i | \(0.335355\pi\) | |||||||
\(200\) | 1.55421 | + | 0.897324i | 0.109899 | + | 0.0634504i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.216787 | − | 0.125162i | −0.0152531 | − | 0.00880637i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 14.4694 | 1.01059 | ||||||||
\(206\) | 0.0839657 | + | 0.145433i | 0.00585017 | + | 0.0101328i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.23601 | − | 2.44566i | −0.293715 | − | 0.169576i | ||||
\(209\) | −3.62268 | − | 6.27467i | −0.250586 | − | 0.434028i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.56103 | − | 13.0961i | 0.520523 | − | 0.901572i | −0.479192 | − | 0.877710i | \(-0.659070\pi\) |
0.999715 | − | 0.0238622i | \(-0.00759629\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.99540 | − | 6.92024i | 0.273120 | − | 0.473058i | ||||
\(215\) | 6.23269 | − | 10.7953i | 0.425066 | − | 0.736235i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 16.4141 | − | 9.47667i | 1.11170 | − | 0.641841i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.29953i | 0.289874i | ||||||||
\(221\) | − | 17.9251i | − | 1.20577i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.27049 | + | 4.19762i | −0.486868 | + | 0.281093i | −0.723274 | − | 0.690561i | \(-0.757364\pi\) |
0.236406 | + | 0.971654i | \(0.424030\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.579764 | − | 1.00418i | 0.0385653 | − | 0.0667971i | ||||
\(227\) | −1.21261 | + | 2.10030i | −0.0804836 | + | 0.139402i | −0.903458 | − | 0.428677i | \(-0.858980\pi\) |
0.822974 | + | 0.568079i | \(0.192313\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.74915 | + | 1.00987i | −0.115587 | + | 0.0667344i | −0.556679 | − | 0.830728i | \(-0.687925\pi\) |
0.441092 | + | 0.897462i | \(0.354591\pi\) | |||||||
\(230\) | 3.37157 | − | 5.83973i | 0.222315 | − | 0.385061i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.28052 | + | 5.68202i | 0.215376 | + | 0.373043i | ||||
\(233\) | −11.0236 | − | 6.36446i | −0.722178 | − | 0.416950i | 0.0933759 | − | 0.995631i | \(-0.470234\pi\) |
−0.815554 | + | 0.578681i | \(0.803568\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.59766 | + | 7.96337i | 0.299918 | + | 0.519473i | ||||
\(236\) | −14.5900 | −0.949729 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.1117 | − | 8.72474i | −0.977494 | − | 0.564356i | −0.0759814 | − | 0.997109i | \(-0.524209\pi\) |
−0.901513 | + | 0.432753i | \(0.857542\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.90142 | − | 5.71659i | −0.637807 | − | 0.368238i | 0.145963 | − | 0.989290i | \(-0.453372\pi\) |
−0.783769 | + | 0.621052i | \(0.786705\pi\) | |||||||
\(242\) | −4.53172 | + | 2.61639i | −0.291310 | + | 0.168188i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 11.3283i | − | 0.725219i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.37859 | − | 12.7801i | −0.469489 | − | 0.813178i | ||||
\(248\) | −4.64661 | −0.295060 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | − | 12.1648i | − | 0.769369i | ||||||
\(251\) | 27.3560 | 1.72669 | 0.863347 | − | 0.504611i | \(-0.168364\pi\) | ||||
0.863347 | + | 0.504611i | \(0.168364\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.04499 | −0.568653 | ||||||||
\(254\) | − | 1.40150i | − | 0.0879382i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −1.74837 | − | 3.02826i | −0.109060 | − | 0.188898i | 0.806330 | − | 0.591466i | \(-0.201451\pi\) |
−0.915390 | + | 0.402569i | \(0.868117\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 8.75718i | 0.543097i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.08614 | − | 5.24589i | 0.561344 | − | 0.324092i | ||||
\(263\) | −8.35150 | − | 4.82174i | −0.514976 | − | 0.297321i | 0.219901 | − | 0.975522i | \(-0.429427\pi\) |
−0.734877 | + | 0.678201i | \(0.762760\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.570231 | −0.0348324 | ||||||||
\(269\) | −3.45554 | − | 5.98517i | −0.210688 | − | 0.364922i | 0.741242 | − | 0.671238i | \(-0.234237\pi\) |
−0.951930 | + | 0.306316i | \(0.900904\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 17.8672 | + | 10.3156i | 1.08535 | + | 0.626629i | 0.932335 | − | 0.361595i | \(-0.117768\pi\) |
0.153017 | + | 0.988224i | \(0.451101\pi\) | |||||||
\(272\) | 1.83233 | + | 3.17369i | 0.111101 | + | 0.192433i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.36028 | + | 4.08812i | −0.142590 | + | 0.246973i | ||||
\(275\) | −3.73244 | + | 2.15493i | −0.225075 | + | 0.129947i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.75718 | − | 13.4358i | 0.466084 | − | 0.807281i | −0.533166 | − | 0.846011i | \(-0.678998\pi\) |
0.999250 | + | 0.0387296i | \(0.0123311\pi\) | |||||||
\(278\) | −1.18187 | + | 2.04707i | −0.0708841 | + | 0.122775i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.7759 | + | 6.79883i | −0.702492 | + | 0.405584i | −0.808275 | − | 0.588805i | \(-0.799599\pi\) |
0.105783 | + | 0.994389i | \(0.466265\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.44783i | 0.323840i | 0.986804 | + | 0.161920i | \(0.0517687\pi\) | ||||
−0.986804 | + | 0.161920i | \(0.948231\pi\) | |||||||
\(284\) | − | 5.96254i | − | 0.353811i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 10.1728 | − | 5.87327i | 0.601530 | − | 0.347294i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.78512 | − | 3.09191i | 0.105007 | − | 0.181877i | ||||
\(290\) | 5.87327 | − | 10.1728i | 0.344890 | − | 0.597368i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.7226 | + | 6.19070i | −0.627493 | + | 0.362284i | ||||
\(293\) | −12.2311 | + | 21.1849i | −0.714550 | + | 1.23764i | 0.248583 | + | 0.968610i | \(0.420035\pi\) |
−0.963133 | + | 0.269026i | \(0.913298\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.0606 | + | 22.6216i | 0.760418 | + | 1.31708i | ||||
\(296\) | −8.10950 | − | 4.68202i | −0.471355 | − | 0.272137i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 8.68202 | + | 15.0377i | 0.502936 | + | 0.871111i | ||||
\(299\) | −18.4226 | −1.06541 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −9.72787 | − | 5.61639i | −0.559776 | − | 0.323187i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.61281 | + | 1.50851i | 0.149855 | + | 0.0865187i | ||||
\(305\) | −17.5644 | + | 10.1408i | −1.00573 | + | 0.580660i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 31.2223i | 1.78195i | 0.454053 | + | 0.890975i | \(0.349978\pi\) | ||||
−0.454053 | + | 0.890975i | \(0.650022\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.15953 | + | 7.20451i | 0.236245 | + | 0.409189i | ||||
\(311\) | −10.9100 | −0.618651 | −0.309325 | − | 0.950956i | \(-0.600103\pi\) | ||||
−0.309325 | + | 0.950956i | \(0.600103\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.42405i | 0.193539i | 0.995307 | + | 0.0967694i | \(0.0308509\pi\) | ||||
−0.995307 | + | 0.0967694i | \(0.969149\pi\) | |||||||
\(314\) | −13.8431 | −0.781210 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.03663 | −0.170824 | ||||||||
\(317\) | − | 19.0471i | − | 1.06979i | −0.844917 | − | 0.534897i | \(-0.820350\pi\) | ||
0.844917 | − | 0.534897i | \(-0.179650\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.7563 | −0.882186 | ||||||||
\(320\) | −0.895175 | − | 1.55049i | −0.0500418 | − | 0.0866749i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 11.0563i | 0.615191i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.60215 | + | 4.38910i | −0.421692 | + | 0.243464i | ||||
\(326\) | −3.75489 | − | 2.16789i | −0.207964 | − | 0.120068i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.99911 | + | 4.04094i | 0.386461 | + | 0.223123i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.0732502 | 0.00402620 | 0.00201310 | − | 0.999998i | \(-0.499359\pi\) | ||||
0.00201310 | + | 0.999998i | \(0.499359\pi\) | |||||||
\(332\) | −7.00270 | − | 12.1290i | −0.384323 | − | 0.665667i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.7518 | − | 6.20756i | −0.588313 | − | 0.339663i | ||||
\(335\) | 0.510456 | + | 0.884136i | 0.0278892 | + | 0.0483055i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.11639 | − | 1.93364i | 0.0608136 | − | 0.105332i | −0.834016 | − | 0.551741i | \(-0.813964\pi\) |
0.894829 | + | 0.446408i | \(0.147297\pi\) | |||||||
\(338\) | 9.46139 | − | 5.46254i | 0.514632 | − | 0.297123i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.28052 | − | 5.68202i | 0.177911 | − | 0.308151i | ||||
\(341\) | 5.57943 | − | 9.66385i | 0.302143 | − | 0.523327i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 6.02973 | − | 3.48127i | 0.325101 | − | 0.187697i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 17.4182i | − | 0.936406i | ||||||
\(347\) | 31.8409i | 1.70931i | 0.519195 | + | 0.854656i | \(0.326232\pi\) | ||||
−0.519195 | + | 0.854656i | \(0.673768\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.7613 | + | 7.36772i | −0.683095 | + | 0.394385i | −0.801020 | − | 0.598637i | \(-0.795709\pi\) |
0.117925 | + | 0.993022i | \(0.462376\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.20075 | + | 2.07976i | −0.0640003 | + | 0.110852i | ||||
\(353\) | 1.07979 | − | 1.87025i | 0.0574713 | − | 0.0995431i | −0.835858 | − | 0.548945i | \(-0.815030\pi\) |
0.893330 | + | 0.449402i | \(0.148363\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.24484 | + | 5.33751i | −0.490665 | + | 0.283286i | ||||
\(356\) | 1.87432 | − | 3.24641i | 0.0993385 | − | 0.172059i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.56103 | − | 11.3640i | −0.346761 | − | 0.600608i | ||||
\(359\) | 28.2712 | + | 16.3224i | 1.49210 | + | 0.861463i | 0.999959 | − | 0.00905364i | \(-0.00288190\pi\) |
0.492139 | + | 0.870517i | \(0.336215\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.94882 | − | 8.57161i | −0.260464 | − | 0.451138i | ||||
\(362\) | −13.3577 | −0.702067 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 19.1972 | + | 11.0835i | 1.00483 | + | 0.580138i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −25.7212 | − | 14.8501i | −1.34264 | − | 0.775171i | −0.355442 | − | 0.934698i | \(-0.615670\pi\) |
−0.987194 | + | 0.159527i | \(0.949003\pi\) | |||||||
\(368\) | 3.26178 | − | 1.88319i | 0.170032 | − | 0.0981682i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 16.7649i | 0.871566i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.00836 | + | 1.74653i | 0.0522109 | + | 0.0904320i | 0.890950 | − | 0.454102i | \(-0.150040\pi\) |
−0.838739 | + | 0.544534i | \(0.816707\pi\) | |||||||
\(374\) | −8.80071 | −0.455074 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.13604i | 0.264871i | ||||||||
\(377\) | −32.0921 | −1.65283 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −18.8709 | −0.969332 | −0.484666 | − | 0.874699i | \(-0.661059\pi\) | ||||
−0.484666 | + | 0.874699i | \(0.661059\pi\) | |||||||
\(380\) | − | 5.40150i | − | 0.277091i | ||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.25333 | 0.473441 | ||||||||
\(383\) | 0.418256 | + | 0.724440i | 0.0213719 | + | 0.0370172i | 0.876514 | − | 0.481377i | \(-0.159863\pi\) |
−0.855142 | + | 0.518394i | \(0.826530\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 24.5602i | 1.25008i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.77256 | + | 2.75544i | −0.242290 | + | 0.139886i | ||||
\(389\) | 21.4964 | + | 12.4109i | 1.08991 | + | 0.629260i | 0.933552 | − | 0.358441i | \(-0.116692\pi\) |
0.156357 | + | 0.987701i | \(0.450025\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.9533 | + | 6.90127i | 0.604507 | + | 0.349012i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −12.4861 | −0.629041 | ||||||||
\(395\) | 2.71831 | + | 4.70825i | 0.136773 | + | 0.236898i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.62744 | − | 1.51695i | −0.131867 | − | 0.0761336i | 0.432615 | − | 0.901579i | \(-0.357591\pi\) |
−0.564482 | + | 0.825445i | \(0.690924\pi\) | |||||||
\(398\) | 0.0895727 | + | 0.155144i | 0.00448987 | + | 0.00777669i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.897324 | − | 1.55421i | 0.0448662 | − | 0.0777105i | ||||
\(401\) | 11.3251 | − | 6.53854i | 0.565548 | − | 0.326519i | −0.189822 | − | 0.981819i | \(-0.560791\pi\) |
0.755369 | + | 0.655300i | \(0.227458\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.3640 | − | 19.6831i | 0.566083 | − | 0.980485i | ||||
\(404\) | −0.125162 | + | 0.216787i | −0.00622705 | + | 0.0107856i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 19.4750 | − | 11.2439i | 0.965339 | − | 0.557339i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 5.56709i | − | 0.275275i | −0.990483 | − | 0.137637i | \(-0.956049\pi\) | ||
0.990483 | − | 0.137637i | \(-0.0439508\pi\) | |||||||
\(410\) | − | 14.4694i | − | 0.714592i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.145433 | − | 0.0839657i | 0.00716496 | − | 0.00413669i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.5373 | + | 21.7152i | −0.615431 | + | 1.06596i | ||||
\(416\) | −2.44566 | + | 4.23601i | −0.119908 | + | 0.207688i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.27467 | + | 3.62268i | −0.306904 | + | 0.177191i | ||||
\(419\) | −8.19938 | + | 14.2017i | −0.400566 | + | 0.693800i | −0.993794 | − | 0.111234i | \(-0.964520\pi\) |
0.593228 | + | 0.805034i | \(0.297853\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.72892 | − | 13.3869i | −0.376684 | − | 0.652437i | 0.613893 | − | 0.789389i | \(-0.289603\pi\) |
−0.990578 | + | 0.136952i | \(0.956269\pi\) | |||||||
\(422\) | −13.0961 | − | 7.56103i | −0.637508 | − | 0.368065i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.57678 | 0.319021 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −6.92024 | − | 3.99540i | −0.334502 | − | 0.193125i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −10.7953 | − | 6.23269i | −0.520597 | − | 0.300567i | ||||
\(431\) | 21.6737 | − | 12.5133i | 1.04398 | − | 0.602744i | 0.123024 | − | 0.992404i | \(-0.460741\pi\) |
0.920959 | + | 0.389660i | \(0.127407\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.25168i | 0.108209i | 0.998535 | + | 0.0541044i | \(0.0172304\pi\) | ||||
−0.998535 | + | 0.0541044i | \(0.982770\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.47667 | − | 16.4141i | −0.453850 | − | 0.786091i | ||||
\(437\) | 11.3632 | 0.543576 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.7400i | 0.894412i | 0.894431 | + | 0.447206i | \(0.147581\pi\) | ||||
−0.894431 | + | 0.447206i | \(0.852419\pi\) | |||||||
\(440\) | 4.29953 | 0.204972 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −17.9251 | −0.852609 | ||||||||
\(443\) | 1.20451i | 0.0572281i | 0.999591 | + | 0.0286141i | \(0.00910938\pi\) | ||||
−0.999591 | + | 0.0286141i | \(0.990891\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.71136 | −0.318149 | ||||||||
\(446\) | 4.19762 | + | 7.27049i | 0.198763 | + | 0.344268i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 26.8022i | − | 1.26487i | −0.774612 | − | 0.632436i | \(-0.782055\pi\) | ||
0.774612 | − | 0.632436i | \(-0.217945\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.8084 | + | 9.70433i | −0.791476 | + | 0.456959i | ||||
\(452\) | −1.00418 | − | 0.579764i | −0.0472327 | − | 0.0272698i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.10030 | + | 1.21261i | 0.0985719 | + | 0.0569105i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 13.8488 | 0.647821 | 0.323911 | − | 0.946088i | \(-0.395002\pi\) | ||||
0.323911 | + | 0.946088i | \(0.395002\pi\) | |||||||
\(458\) | 1.00987 | + | 1.74915i | 0.0471883 | + | 0.0817326i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.83973 | − | 3.37157i | −0.272279 | − | 0.157200i | ||||
\(461\) | −2.40241 | − | 4.16110i | −0.111892 | − | 0.193802i | 0.804641 | − | 0.593761i | \(-0.202358\pi\) |
−0.916533 | + | 0.399959i | \(0.869024\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.5194 | − | 18.2201i | 0.488877 | − | 0.846760i | −0.511041 | − | 0.859556i | \(-0.670740\pi\) |
0.999918 | + | 0.0127960i | \(0.00407321\pi\) | |||||||
\(464\) | 5.68202 | − | 3.28052i | 0.263781 | − | 0.152294i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.36446 | + | 11.0236i | −0.294828 | + | 0.510657i | ||||
\(467\) | 2.91151 | − | 5.04288i | 0.134729 | − | 0.233357i | −0.790765 | − | 0.612120i | \(-0.790317\pi\) |
0.925494 | + | 0.378763i | \(0.123650\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 7.96337 | − | 4.59766i | 0.367323 | − | 0.212074i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 14.5900i | 0.671560i | ||||||||
\(473\) | 16.7206i | 0.768812i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.68907 | − | 2.70724i | 0.215149 | − | 0.124217i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.72474 | + | 15.1117i | −0.399060 | + | 0.691193i | ||||
\(479\) | −13.4781 | + | 23.3447i | −0.615828 | + | 1.06665i | 0.374411 | + | 0.927263i | \(0.377845\pi\) |
−0.990239 | + | 0.139382i | \(0.955488\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 39.6662 | − | 22.9013i | 1.80862 | − | 1.04421i | ||||
\(482\) | −5.71659 | + | 9.90142i | −0.260383 | + | 0.450997i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.61639 | + | 4.53172i | 0.118927 | + | 0.205987i | ||||
\(485\) | 8.54455 | + | 4.93320i | 0.387988 | + | 0.224005i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.81338 | + | 11.8011i | 0.308744 | + | 0.534760i | 0.978088 | − | 0.208193i | \(-0.0667581\pi\) |
−0.669344 | + | 0.742953i | \(0.733425\pi\) | |||||||
\(488\) | −11.3283 | −0.512807 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 33.7430 | + | 19.4815i | 1.52280 | + | 0.879188i | 0.999637 | + | 0.0269544i | \(0.00858088\pi\) |
0.523162 | + | 0.852234i | \(0.324752\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 20.8227 | + | 12.0220i | 0.937807 | + | 0.541443i | ||||
\(494\) | −12.7801 | + | 7.37859i | −0.575004 | + | 0.331979i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.64661i | 0.208639i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.0048 | − | 22.5250i | −0.582176 | − | 1.00836i | −0.995221 | − | 0.0976483i | \(-0.968868\pi\) |
0.413045 | − | 0.910711i | \(-0.364465\pi\) | |||||||
\(500\) | −12.1648 | −0.544026 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 27.3560i | − | 1.22096i | ||||||
\(503\) | −10.5271 | −0.469378 | −0.234689 | − | 0.972070i | \(-0.575407\pi\) | ||||
−0.234689 | + | 0.972070i | \(0.575407\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.448168 | 0.0199432 | ||||||||
\(506\) | 9.04499i | 0.402099i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.40150 | −0.0621817 | ||||||||
\(509\) | −0.469435 | − | 0.813086i | −0.0208074 | − | 0.0360394i | 0.855434 | − | 0.517911i | \(-0.173290\pi\) |
−0.876242 | + | 0.481872i | \(0.839957\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.02826 | + | 1.74837i | −0.133571 | + | 0.0771172i | ||||
\(515\) | −0.260376 | − | 0.150328i | −0.0114735 | − | 0.00662424i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.6818 | − | 6.16711i | −0.469783 | − | 0.271229i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 8.75718 | 0.384028 | ||||||||
\(521\) | −19.7527 | − | 34.2127i | −0.865382 | − | 1.49889i | −0.866667 | − | 0.498887i | \(-0.833742\pi\) |
0.00128461 | − | 0.999999i | \(-0.499591\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −21.0697 | − | 12.1646i | −0.921315 | − | 0.531922i | −0.0372609 | − | 0.999306i | \(-0.511863\pi\) |
−0.884054 | + | 0.467384i | \(0.845197\pi\) | |||||||
\(524\) | −5.24589 | − | 9.08614i | −0.229168 | − | 0.396930i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.82174 | + | 8.35150i | −0.210238 | + | 0.364143i | ||||
\(527\) | −14.7469 | + | 8.51413i | −0.642385 | + | 0.370881i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.40718 | + | 7.63346i | −0.191616 | + | 0.331889i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −34.2349 | + | 19.7655i | −1.48288 | + | 0.856141i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.3063i | 0.618516i | ||||||||
\(536\) | 0.570231i | 0.0246302i | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.98517 | + | 3.45554i | −0.258039 | + | 0.148979i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.3640 | + | 37.0036i | −0.918512 | + | 1.59091i | −0.116835 | + | 0.993151i | \(0.537275\pi\) |
−0.801677 | + | 0.597758i | \(0.796058\pi\) | |||||||
\(542\) | 10.3156 | − | 17.8672i | 0.443093 | − | 0.767460i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.17369 | − | 1.83233i | 0.136071 | − | 0.0785606i | ||||
\(545\) | −16.9665 | + | 29.3869i | −0.726767 | + | 1.25880i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.2477 | − | 21.2136i | −0.523672 | − | 0.907026i | −0.999620 | − | 0.0275530i | \(-0.991229\pi\) |
0.475949 | − | 0.879473i | \(-0.342105\pi\) | |||||||
\(548\) | 4.08812 | + | 2.36028i | 0.174636 | + | 0.100826i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.15493 | + | 3.73244i | 0.0918864 | + | 0.159152i | ||||
\(551\) | 19.7947 | 0.843283 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −13.4358 | − | 7.75718i | −0.570834 | − | 0.329571i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.04707 | + | 1.18187i | 0.0868150 | + | 0.0501227i | ||||
\(557\) | 2.20344 | − | 1.27216i | 0.0933627 | − | 0.0539030i | −0.452592 | − | 0.891718i | \(-0.649501\pi\) |
0.545954 | + | 0.837815i | \(0.316167\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 34.0560i | 1.44042i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.79883 | + | 11.7759i | 0.286791 | + | 0.496737i | ||||
\(563\) | −15.8141 | −0.666487 | −0.333243 | − | 0.942841i | \(-0.608143\pi\) | ||||
−0.333243 | + | 0.942841i | \(0.608143\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.07596i | 0.0873363i | ||||||||
\(566\) | 5.44783 | 0.228990 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.96254 | −0.250182 | ||||||||
\(569\) | 6.38311i | 0.267594i | 0.991009 | + | 0.133797i | \(0.0427170\pi\) | ||||
−0.991009 | + | 0.133797i | \(0.957283\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.82375 | −0.327414 | −0.163707 | − | 0.986509i | \(-0.552345\pi\) | ||||
−0.163707 | + | 0.986509i | \(0.552345\pi\) | |||||||
\(572\) | −5.87327 | − | 10.1728i | −0.245574 | − | 0.425346i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 6.75933i | − | 0.281884i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.4012 | + | 7.15986i | −0.516270 | + | 0.298069i | −0.735407 | − | 0.677625i | \(-0.763009\pi\) |
0.219137 | + | 0.975694i | \(0.429676\pi\) | |||||||
\(578\) | −3.09191 | − | 1.78512i | −0.128607 | − | 0.0742510i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −10.1728 | − | 5.87327i | −0.422403 | − | 0.243874i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 6.19070 | + | 10.7226i | 0.256173 | + | 0.443705i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 21.1849 | + | 12.2311i | 0.875141 | + | 0.505263i | ||||
\(587\) | 2.37575 | + | 4.11492i | 0.0980577 | + | 0.169841i | 0.910881 | − | 0.412670i | \(-0.135404\pi\) |
−0.812823 | + | 0.582511i | \(0.802070\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.00943 | + | 12.1407i | −0.288819 | + | 0.500249i | ||||
\(590\) | 22.6216 | − | 13.0606i | 0.931318 | − | 0.537697i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.68202 | + | 8.10950i | −0.192430 | + | 0.333298i | ||||
\(593\) | 1.79035 | − | 3.10098i | 0.0735208 | − | 0.127342i | −0.826921 | − | 0.562318i | \(-0.809910\pi\) |
0.900442 | + | 0.434976i | \(0.143243\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 15.0377 | − | 8.68202i | 0.615968 | − | 0.355629i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 18.4226i | 0.753357i | ||||||||
\(599\) | − | 15.0655i | − | 0.615561i | −0.951457 | − | 0.307780i | \(-0.900414\pi\) | ||
0.951457 | − | 0.307780i | \(-0.0995862\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.8704 | + | 11.4722i | −0.810530 | + | 0.467960i | −0.847140 | − | 0.531370i | \(-0.821678\pi\) |
0.0366096 | + | 0.999330i | \(0.488344\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.61639 | + | 9.72787i | −0.228528 | + | 0.395821i | ||||
\(605\) | 4.68425 | − | 8.11336i | 0.190442 | − | 0.329855i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.2030 | + | 12.2416i | −0.860605 | + | 0.496870i | −0.864215 | − | 0.503123i | \(-0.832184\pi\) |
0.00360990 | + | 0.999993i | \(0.498851\pi\) | |||||||
\(608\) | 1.50851 | − | 2.61281i | 0.0611780 | − | 0.105963i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.1408 | + | 17.5644i | 0.410589 | + | 0.711161i | ||||
\(611\) | −21.7563 | − | 12.5610i | −0.880167 | − | 0.508165i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.440043 | + | 0.762177i | 0.0177732 | + | 0.0307840i | 0.874775 | − | 0.484529i | \(-0.161009\pi\) |
−0.857002 | + | 0.515313i | \(0.827676\pi\) | |||||||
\(614\) | 31.2223 | 1.26003 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11.7607 | + | 6.79005i | 0.473468 | + | 0.273357i | 0.717690 | − | 0.696362i | \(-0.245199\pi\) |
−0.244222 | + | 0.969719i | \(0.578533\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.7325 | + | 17.7434i | 1.23524 | + | 0.713169i | 0.968118 | − | 0.250493i | \(-0.0805926\pi\) |
0.267126 | + | 0.963662i | \(0.413926\pi\) | |||||||
\(620\) | 7.20451 | − | 4.15953i | 0.289340 | − | 0.167051i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.9100i | 0.437452i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.40300 | + | 11.0903i | 0.256120 | + | 0.443613i | ||||
\(626\) | 3.42405 | 0.136853 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 13.8431i | 0.552399i | ||||||||
\(629\) | −34.3161 | −1.36827 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.9822 | 1.07415 | 0.537073 | − | 0.843536i | \(-0.319530\pi\) | ||||
0.537073 | + | 0.843536i | \(0.319530\pi\) | |||||||
\(632\) | 3.03663i | 0.120790i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −19.0471 | −0.756458 | ||||||||
\(635\) | 1.25459 | + | 2.17302i | 0.0497869 | + | 0.0862335i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 15.7563i | 0.623800i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.55049 | + | 0.895175i | −0.0612884 | + | 0.0353849i | ||||
\(641\) | 0.932777 | + | 0.538539i | 0.0368425 | + | 0.0212710i | 0.518308 | − | 0.855194i | \(-0.326562\pi\) |
−0.481466 | + | 0.876465i | \(0.659895\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 33.3126 | + | 19.2330i | 1.31372 | + | 0.758477i | 0.982710 | − | 0.185150i | \(-0.0592773\pi\) |
0.331010 | + | 0.943627i | \(0.392611\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 11.0563 | 0.435006 | ||||||||
\(647\) | −4.47605 | − | 7.75275i | −0.175972 | − | 0.304792i | 0.764525 | − | 0.644594i | \(-0.222973\pi\) |
−0.940497 | + | 0.339802i | \(0.889640\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −30.3438 | − | 17.5190i | −1.19110 | − | 0.687680i | ||||
\(650\) | 4.38910 | + | 7.60215i | 0.172155 | + | 0.298181i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.16789 | + | 3.75489i | −0.0849010 | + | 0.147053i | ||||
\(653\) | −9.85934 | + | 5.69229i | −0.385826 | + | 0.222757i | −0.680350 | − | 0.732887i | \(-0.738172\pi\) |
0.294524 | + | 0.955644i | \(0.404839\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.39197 | + | 16.2674i | −0.366975 | + | 0.635619i | ||||
\(656\) | 4.04094 | − | 6.99911i | 0.157772 | − | 0.273269i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −31.4373 | + | 18.1503i | −1.22462 | + | 0.707036i | −0.965900 | − | 0.258915i | \(-0.916635\pi\) |
−0.258723 | + | 0.965952i | \(0.583302\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 36.0758i | 1.40319i | 0.712578 | + | 0.701593i | \(0.247527\pi\) | ||||
−0.712578 | + | 0.701593i | \(0.752473\pi\) | |||||||
\(662\) | − | 0.0732502i | − | 0.00284695i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.1290 | + | 7.00270i | −0.470698 | + | 0.271757i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.3557 | − | 21.4007i | 0.478414 | − | 0.828637i | ||||
\(668\) | −6.20756 | + | 10.7518i | −0.240178 | + | 0.416000i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.884136 | − | 0.510456i | 0.0341572 | − | 0.0197206i | ||||
\(671\) | 13.6025 | − | 23.5602i | 0.525117 | − | 0.909530i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.78512 | + | 8.28806i | 0.184453 | + | 0.319481i | 0.943392 | − | 0.331680i | \(-0.107615\pi\) |
−0.758939 | + | 0.651161i | \(0.774282\pi\) | |||||||
\(674\) | −1.93364 | − | 1.11639i | −0.0744811 | − | 0.0430017i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.46254 | − | 9.46139i | −0.210098 | − | 0.363900i | ||||
\(677\) | 15.6282 | 0.600639 | 0.300320 | − | 0.953839i | \(-0.402907\pi\) | ||||
0.300320 | + | 0.953839i | \(0.402907\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −5.68202 | − | 3.28052i | −0.217896 | − | 0.125802i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −9.66385 | − | 5.57943i | −0.370048 | − | 0.213647i | ||||
\(683\) | −9.63996 | + | 5.56563i | −0.368863 | + | 0.212963i | −0.672961 | − | 0.739678i | \(-0.734978\pi\) |
0.304099 | + | 0.952640i | \(0.401645\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 8.45145i | − | 0.322913i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.48127 | − | 6.02973i | −0.132722 | − | 0.229881i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.02419i | 0.115046i | 0.998344 | + | 0.0575228i | \(0.0183202\pi\) | ||||
−0.998344 | + | 0.0575228i | \(0.981680\pi\) | |||||||
\(692\) | −17.4182 | −0.662139 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 31.8409 | 1.20867 | ||||||||
\(695\) | − | 4.23194i | − | 0.160527i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 29.6174 | 1.12184 | ||||||||
\(698\) | 7.36772 | + | 12.7613i | 0.278872 | + | 0.483021i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 50.1486i | − | 1.89409i | −0.321103 | − | 0.947044i | \(-0.604054\pi\) | ||
0.321103 | − | 0.947044i | \(-0.395946\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −24.4664 | + | 14.1257i | −0.922769 | + | 0.532761i | ||||
\(704\) | 2.07976 | + | 1.20075i | 0.0783840 | + | 0.0452550i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.87025 | − | 1.07979i | −0.0703876 | − | 0.0406383i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.60770 | −0.135490 | −0.0677449 | − | 0.997703i | \(-0.521580\pi\) | ||||
−0.0677449 | + | 0.997703i | \(0.521580\pi\) | |||||||
\(710\) | 5.33751 | + | 9.24484i | 0.200313 | + | 0.346953i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.24641 | − | 1.87432i | −0.121664 | − | 0.0702429i | ||||
\(713\) | 8.75046 | + | 15.1562i | 0.327707 | + | 0.567605i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.5152 | + | 18.2129i | −0.393246 | + | 0.681123i | ||||
\(716\) | −11.3640 | + | 6.56103i | −0.424694 | + | 0.245197i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 16.3224 | − | 28.2712i | 0.609146 | − | 1.05507i | ||||
\(719\) | −17.1580 | + | 29.7186i | −0.639887 | + | 1.10832i | 0.345571 | + | 0.938393i | \(0.387685\pi\) |
−0.985457 | + | 0.169924i | \(0.945648\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −8.57161 | + | 4.94882i | −0.319002 | + | 0.184176i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.3577i | 0.496437i | ||||||||
\(725\) | − | 11.7747i | − | 0.437303i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 19.4757 | − | 11.2443i | 0.722315 | − | 0.417029i | −0.0932892 | − | 0.995639i | \(-0.529738\pi\) |
0.815604 | + | 0.578610i | \(0.196405\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 11.0835 | − | 19.1972i | 0.410220 | − | 0.710521i | ||||
\(731\) | 12.7577 | − | 22.0970i | 0.471860 | − | 0.817285i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −27.0065 | + | 15.5922i | −0.997509 | + | 0.575912i | −0.907510 | − | 0.420030i | \(-0.862020\pi\) |
−0.0899987 | + | 0.995942i | \(0.528686\pi\) | |||||||
\(734\) | −14.8501 | + | 25.7212i | −0.548129 | + | 0.949387i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.88319 | − | 3.26178i | −0.0694154 | − | 0.120231i | ||||
\(737\) | −1.18595 | − | 0.684706i | −0.0436849 | − | 0.0252215i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.04314 | − | 3.53882i | −0.0751581 | − | 0.130178i | 0.825997 | − | 0.563675i | \(-0.190613\pi\) |
−0.901155 | + | 0.433497i | \(0.857279\pi\) | |||||||
\(740\) | 16.7649 | 0.616290 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.78246 | + | 1.02910i | 0.0653921 | + | 0.0377542i | 0.532340 | − | 0.846531i | \(-0.321313\pi\) |
−0.466947 | + | 0.884285i | \(0.654646\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −26.9227 | − | 15.5439i | −0.986373 | − | 0.569483i | ||||
\(746\) | 1.74653 | − | 1.00836i | 0.0639450 | − | 0.0369187i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 8.80071i | 0.321786i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.9053 | − | 20.6205i | −0.434429 | − | 0.752454i | 0.562820 | − | 0.826580i | \(-0.309717\pi\) |
−0.997249 | + | 0.0741262i | \(0.976383\pi\) | |||||||
\(752\) | 5.13604 | 0.187292 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 32.0921i | 1.16873i | ||||||||
\(755\) | 20.1106 | 0.731900 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.0754 | 0.366197 | 0.183098 | − | 0.983095i | \(-0.441387\pi\) | ||||
0.183098 | + | 0.983095i | \(0.441387\pi\) | |||||||
\(758\) | 18.8709i | 0.685421i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.40150 | −0.195933 | ||||||||
\(761\) | −13.9368 | − | 24.1392i | −0.505207 | − | 0.875044i | −0.999982 | − | 0.00602283i | \(-0.998083\pi\) |
0.494775 | − | 0.869021i | \(-0.335250\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 9.25333i | − | 0.334774i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.724440 | − | 0.418256i | 0.0261751 | − | 0.0151122i | ||||
\(767\) | −61.8035 | − | 35.6823i | −2.23159 | − | 1.28841i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.21166 | − | 3.58631i | −0.223998 | − | 0.129326i | 0.383802 | − | 0.923415i | \(-0.374615\pi\) |
−0.607800 | + | 0.794090i | \(0.707948\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 24.5602 | 0.883941 | ||||||||
\(773\) | −1.07077 | − | 1.85462i | −0.0385128 | − | 0.0667061i | 0.846127 | − | 0.532982i | \(-0.178929\pi\) |
−0.884639 | + | 0.466276i | \(0.845595\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.22181 | + | 4.16951i | 0.259415 | + | 0.149773i | ||||
\(776\) | 2.75544 | + | 4.77256i | 0.0989144 | + | 0.171325i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 12.4109 | − | 21.4964i | 0.444954 | − | 0.770682i | ||||
\(779\) | 21.1164 | − | 12.1916i | 0.756573 | − | 0.436808i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.15953 | − | 12.4007i | 0.256188 | − | 0.443731i | ||||
\(782\) | 6.90127 | − | 11.9533i | 0.246789 | − | 0.427451i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 21.4635 | − | 12.3920i | 0.766066 | − | 0.442288i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 18.3552i | − | 0.654292i | −0.944974 | − | 0.327146i | \(-0.893913\pi\) | ||
0.944974 | − | 0.327146i | \(-0.106087\pi\) | |||||||
\(788\) | 12.4861i | 0.444799i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 4.70825 | − | 2.71831i | 0.167512 | − | 0.0967131i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 27.7052 | − | 47.9868i | 0.983839 | − | 1.70406i | ||||
\(794\) | −1.51695 | + | 2.62744i | −0.0538346 | + | 0.0932442i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.155144 | − | 0.0895727i | 0.00549895 | − | 0.00317482i | ||||
\(797\) | −12.4226 | + | 21.5166i | −0.440031 | + | 0.762156i | −0.997691 | − | 0.0679130i | \(-0.978366\pi\) |
0.557660 | + | 0.830069i | \(0.311699\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.41094 | + | 16.3002i | 0.332935 | + | 0.576660i | ||||
\(800\) | −1.55421 | − | 0.897324i | −0.0549497 | − | 0.0317252i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.53854 | − | 11.3251i | −0.230884 | − | 0.399903i | ||||
\(803\) | −29.7340 | −1.04929 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −19.6831 | − | 11.3640i | −0.693307 | − | 0.400281i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.216787 | + | 0.125162i | 0.00762654 | + | 0.00440319i | ||||
\(809\) | 32.7237 | − | 18.8930i | 1.15050 | − | 0.664244i | 0.201494 | − | 0.979490i | \(-0.435420\pi\) |
0.949010 | + | 0.315246i | \(0.102087\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 36.5165i | 1.28227i | 0.767429 | + | 0.641134i | \(0.221536\pi\) | ||||
−0.767429 | + | 0.641134i | \(0.778464\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −11.2439 | − | 19.4750i | −0.394098 | − | 0.682598i | ||||
\(815\) | 7.76255 | 0.271910 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 21.0060i | − | 0.734909i | ||||||
\(818\) | −5.56709 | −0.194649 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −14.4694 | −0.505293 | ||||||||
\(821\) | 6.37558i | 0.222509i | 0.993792 | + | 0.111255i | \(0.0354869\pi\) | ||||
−0.993792 | + | 0.111255i | \(0.964513\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 28.0587 | 0.978064 | 0.489032 | − | 0.872266i | \(-0.337350\pi\) | ||||
0.489032 | + | 0.872266i | \(0.337350\pi\) | |||||||
\(824\) | −0.0839657 | − | 0.145433i | −0.00292508 | − | 0.00506639i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 0.581579i | 0.0202235i | 0.999949 | + | 0.0101117i | \(0.00321872\pi\) | ||||
−0.999949 | + | 0.0101117i | \(0.996781\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 44.9680 | − | 25.9623i | 1.56180 | − | 0.901708i | 0.564729 | − | 0.825276i | \(-0.308981\pi\) |
0.997075 | − | 0.0764314i | \(-0.0243526\pi\) | |||||||
\(830\) | 21.7152 | + | 12.5373i | 0.753746 | + | 0.435175i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 4.23601 | + | 2.44566i | 0.146857 | + | 0.0847881i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 22.2274 | 0.769211 | ||||||||
\(836\) | 3.62268 | + | 6.27467i | 0.125293 | + | 0.217014i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 14.2017 | + | 8.19938i | 0.490591 | + | 0.283243i | ||||
\(839\) | 3.33038 | + | 5.76838i | 0.114977 | + | 0.199147i | 0.917771 | − | 0.397111i | \(-0.129987\pi\) |
−0.802793 | + | 0.596257i | \(0.796654\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.02357 | − | 12.1652i | 0.242192 | − | 0.419489i | ||||
\(842\) | −13.3869 | + | 7.72892i | −0.461342 | + | 0.266356i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.56103 | + | 13.0961i | −0.260261 | + | 0.450786i | ||||
\(845\) | −9.77985 | + | 16.9392i | −0.336437 | + | 0.582726i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 6.57678i | − | 0.225582i | ||||||
\(851\) | 35.2686i | 1.20899i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −19.2287 | + | 11.1017i | −0.658378 | + | 0.380115i | −0.791659 | − | 0.610964i | \(-0.790782\pi\) |
0.133281 | + | 0.991078i | \(0.457449\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.99540 | + | 6.92024i | −0.136560 | + | 0.236529i | ||||
\(857\) | 7.64830 | − | 13.2472i | 0.261261 | − | 0.452517i | −0.705316 | − | 0.708893i | \(-0.749195\pi\) |
0.966577 | + | 0.256375i | \(0.0825283\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.68620 | + | 2.12823i | −0.125772 | + | 0.0726143i | −0.561566 | − | 0.827432i | \(-0.689801\pi\) |
0.435794 | + | 0.900046i | \(0.356468\pi\) | |||||||
\(860\) | −6.23269 | + | 10.7953i | −0.212533 | + | 0.368118i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −12.5133 | − | 21.6737i | −0.426204 | − | 0.738208i | ||||
\(863\) | −20.4922 | − | 11.8312i | −0.697562 | − | 0.402738i | 0.108876 | − | 0.994055i | \(-0.465275\pi\) |
−0.806439 | + | 0.591317i | \(0.798608\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.5923 | + | 27.0067i | 0.530154 | + | 0.918254i | ||||
\(866\) | 2.25168 | 0.0765151 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −6.31546 | − | 3.64623i | −0.214237 | − | 0.123690i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.41551 | − | 1.39459i | −0.0818463 | − | 0.0472540i | ||||
\(872\) | −16.4141 | + | 9.47667i | −0.555851 | + | 0.320920i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 11.3632i | − | 0.384367i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.1962 | + | 17.6603i | 0.344300 | + | 0.596344i | 0.985226 | − | 0.171258i | \(-0.0547831\pi\) |
−0.640927 | + | 0.767602i | \(0.721450\pi\) | |||||||
\(878\) | 18.7400 | 0.632445 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | − | 4.29953i | − | 0.144937i | ||||||
\(881\) | −32.4586 | −1.09356 | −0.546780 | − | 0.837276i | \(-0.684147\pi\) | ||||
−0.546780 | + | 0.837276i | \(0.684147\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −24.8311 | −0.835632 | −0.417816 | − | 0.908532i | \(-0.637204\pi\) | ||||
−0.417816 | + | 0.908532i | \(0.637204\pi\) | |||||||
\(884\) | 17.9251i | 0.602885i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.20451 | 0.0404664 | ||||||||
\(887\) | 4.86059 | + | 8.41879i | 0.163203 | + | 0.282675i | 0.936016 | − | 0.351959i | \(-0.114484\pi\) |
−0.772813 | + | 0.634634i | \(0.781151\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 6.71136i | 0.224965i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7.27049 | − | 4.19762i | 0.243434 | − | 0.140547i | ||||
\(893\) | 13.4195 | + | 7.74775i | 0.449066 | + | 0.259269i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 20.3456 | + | 11.7465i | 0.680079 | + | 0.392644i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −26.8022 | −0.894400 | ||||||||
\(899\) | 15.2433 | + | 26.4021i | 0.508392 | + | 0.880560i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 9.70433 | + | 16.8084i | 0.323119 | + | 0.559658i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.579764 | + | 1.00418i | −0.0192827 | + | 0.0333985i | ||||
\(905\) | 20.7110 | − | 11.9575i | 0.688458 | − | 0.397481i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 8.04314 | − | 13.9311i | 0.267068 | − | 0.462575i | −0.701035 | − | 0.713127i | \(-0.747278\pi\) |
0.968103 | + | 0.250551i | \(0.0806118\pi\) | |||||||
\(908\) | 1.21261 | − | 2.10030i | 0.0402418 | − | 0.0697009i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −27.0087 | + | 15.5935i | −0.894838 | + | 0.516635i | −0.875522 | − | 0.483179i | \(-0.839482\pi\) |
−0.0193161 | + | 0.999813i | \(0.506149\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 33.6340i | − | 1.11312i | ||||||
\(914\) | − | 13.8488i | − | 0.458079i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.74915 | − | 1.00987i | 0.0577936 | − | 0.0333672i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.8832 | + | 22.3143i | −0.424977 | + | 0.736082i | −0.996418 | − | 0.0845609i | \(-0.973051\pi\) |
0.571441 | + | 0.820643i | \(0.306385\pi\) | |||||||
\(920\) | −3.37157 | + | 5.83973i | −0.111157 | + | 0.192530i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −4.16110 | + | 2.40241i | −0.137039 | + | 0.0791193i | ||||
\(923\) | 14.5824 | − | 25.2574i | 0.479984 | − | 0.831357i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.40258 | + | 14.5537i | 0.276275 | + | 0.478522i | ||||
\(926\) | −18.2201 | − | 10.5194i | −0.598750 | − | 0.345689i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.28052 | − | 5.68202i | −0.107688 | − | 0.186521i | ||||
\(929\) | −54.7487 | −1.79625 | −0.898124 | − | 0.439743i | \(-0.855069\pi\) | ||||
−0.898124 | + | 0.439743i | \(0.855069\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 11.0236 | + | 6.36446i | 0.361089 | + | 0.208475i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −5.04288 | − | 2.91151i | −0.165008 | − | 0.0952675i | ||||
\(935\) | 13.6454 | − | 7.87817i | 0.446252 | − | 0.257644i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 58.2065i | − | 1.90152i | −0.309924 | − | 0.950761i | \(-0.600304\pi\) | ||
0.309924 | − | 0.950761i | \(-0.399696\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.59766 | − | 7.96337i | −0.149959 | − | 0.259737i | ||||
\(941\) | 33.3316 | 1.08658 | 0.543289 | − | 0.839545i | \(-0.317179\pi\) | ||||
0.543289 | + | 0.839545i | \(0.317179\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 30.4394i | − | 0.991245i | ||||||
\(944\) | 14.5900 | 0.474864 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 16.7206 | 0.543632 | ||||||||
\(947\) | 7.61522i | 0.247461i | 0.992316 | + | 0.123731i | \(0.0394859\pi\) | ||||
−0.992316 | + | 0.123731i | \(0.960514\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −60.5615 | −1.96591 | ||||||||
\(950\) | −2.70724 | − | 4.68907i | −0.0878344 | − | 0.152134i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 55.7861i | 1.80709i | 0.428495 | + | 0.903544i | \(0.359044\pi\) | ||||
−0.428495 | + | 0.903544i | \(0.640956\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −14.3472 | + | 8.28334i | −0.464264 | + | 0.268043i | ||||
\(956\) | 15.1117 | + | 8.72474i | 0.488747 | + | 0.282178i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 23.3447 | + | 13.4781i | 0.754232 | + | 0.435456i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.40903 | 0.303517 | ||||||||
\(962\) | −22.9013 | − | 39.6662i | −0.738367 | − | 1.27889i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 9.90142 | + | 5.71659i | 0.318903 | + | 0.184119i | ||||
\(965\) | −21.9857 | − | 38.0803i | −0.707744 | − | 1.22585i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −13.3369 | + | 23.1003i | −0.428887 | + | 0.742855i | −0.996775 | − | 0.0802517i | \(-0.974428\pi\) |
0.567887 | + | 0.823106i | \(0.307761\pi\) | |||||||
\(968\) | 4.53172 | − | 2.61639i | 0.145655 | − | 0.0840939i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.93320 | − | 8.54455i | 0.158395 | − | 0.274349i | ||||
\(971\) | −4.29971 | + | 7.44731i | −0.137984 | + | 0.238996i | −0.926733 | − | 0.375719i | \(-0.877396\pi\) |
0.788749 | + | 0.614715i | \(0.210729\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 11.8011 | − | 6.81338i | 0.378132 | − | 0.218315i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 11.3283i | 0.362610i | ||||||||
\(977\) | − | 14.7771i | − | 0.472761i | −0.971661 | − | 0.236380i | \(-0.924039\pi\) | ||
0.971661 | − | 0.236380i | \(-0.0759612\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.79627 | − | 4.50118i | 0.249170 | − | 0.143858i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 19.4815 | − | 33.7430i | 0.621680 | − | 1.07678i | ||||
\(983\) | −10.2568 | + | 17.7652i | −0.327140 | + | 0.566623i | −0.981943 | − | 0.189176i | \(-0.939418\pi\) |
0.654803 | + | 0.755800i | \(0.272752\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 19.3596 | − | 11.1772i | 0.616847 | − | 0.356137i | ||||
\(986\) | 12.0220 | − | 20.8227i | 0.382858 | − | 0.663130i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.37859 | + | 12.7801i | 0.234744 | + | 0.406589i | ||||
\(989\) | −22.7103 | − | 13.1118i | −0.722145 | − | 0.416931i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.64647 | + | 8.04792i | 0.147600 | + | 0.255651i | 0.930340 | − | 0.366698i | \(-0.119512\pi\) |
−0.782740 | + | 0.622349i | \(0.786179\pi\) | |||||||
\(992\) | 4.64661 | 0.147530 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.277763 | − | 0.160366i | −0.00880567 | − | 0.00508396i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.0172917 | + | 0.00998339i | 0.000547635 | + | 0.000316177i | 0.500274 | − | 0.865867i | \(-0.333233\pi\) |
−0.499726 | + | 0.866183i | \(0.666566\pi\) | |||||||
\(998\) | −22.5250 | + | 13.0048i | −0.713018 | + | 0.411661i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))