Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(489,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.489");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.i (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 538.1 | ||
Character | \(\chi\) | \(=\) | 637.538 |
Dual form | 637.2.i.a.489.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.74842 | + | 1.74842i | −1.23632 | + | 1.23632i | −0.274825 | + | 0.961494i | \(0.588620\pi\) |
−0.961494 | + | 0.274825i | \(0.911380\pi\) | |||||||
\(3\) | − | 2.04432i | − | 1.18029i | −0.807299 | − | 0.590143i | \(-0.799071\pi\) | ||
0.807299 | − | 0.590143i | \(-0.200929\pi\) | |||||||
\(4\) | − | 4.11394i | − | 2.05697i | ||||||
\(5\) | 1.15810 | + | 1.15810i | 0.517917 | + | 0.517917i | 0.916941 | − | 0.399023i | \(-0.130651\pi\) |
−0.399023 | + | 0.916941i | \(0.630651\pi\) | |||||||
\(6\) | 3.57432 | + | 3.57432i | 1.45921 | + | 1.45921i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 3.69606 | + | 3.69606i | 1.30676 | + | 1.30676i | ||||
\(9\) | −1.17922 | −0.393075 | ||||||||
\(10\) | −4.04969 | −1.28062 | ||||||||
\(11\) | 4.06767 | + | 4.06767i | 1.22645 | + | 1.22645i | 0.965299 | + | 0.261149i | \(0.0841013\pi\) |
0.261149 | + | 0.965299i | \(0.415899\pi\) | |||||||
\(12\) | −8.41020 | −2.42782 | ||||||||
\(13\) | −3.57432 | + | 0.473526i | −0.991338 | + | 0.131333i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.36752 | − | 2.36752i | 0.611291 | − | 0.611291i | ||||
\(16\) | −4.69665 | −1.17416 | ||||||||
\(17\) | −1.98394 | −0.481175 | −0.240588 | − | 0.970627i | \(-0.577340\pi\) | ||||
−0.240588 | + | 0.970627i | \(0.577340\pi\) | |||||||
\(18\) | 2.06178 | − | 2.06178i | 0.485966 | − | 0.485966i | ||||
\(19\) | 0.672509 | + | 0.672509i | 0.154284 | + | 0.154284i | 0.780028 | − | 0.625744i | \(-0.215205\pi\) |
−0.625744 | + | 0.780028i | \(0.715205\pi\) | |||||||
\(20\) | 4.76435 | − | 4.76435i | 1.06534 | − | 1.06534i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −14.2240 | −3.03256 | ||||||||
\(23\) | 3.54086i | 0.738320i | 0.929366 | + | 0.369160i | \(0.120355\pi\) | ||||
−0.929366 | + | 0.369160i | \(0.879645\pi\) | |||||||
\(24\) | 7.55591 | − | 7.55591i | 1.54234 | − | 1.54234i | ||||
\(25\) | − | 2.31761i | − | 0.463523i | ||||||
\(26\) | 5.42149 | − | 7.07734i | 1.06324 | − | 1.38798i | ||||
\(27\) | − | 3.72224i | − | 0.716345i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.83949 | 0.527281 | 0.263640 | − | 0.964621i | \(-0.415077\pi\) | ||||
0.263640 | + | 0.964621i | \(0.415077\pi\) | |||||||
\(30\) | 8.27883i | 1.51150i | ||||||||
\(31\) | 3.17048 | + | 3.17048i | 0.569435 | + | 0.569435i | 0.931970 | − | 0.362535i | \(-0.118089\pi\) |
−0.362535 | + | 0.931970i | \(0.618089\pi\) | |||||||
\(32\) | 0.819587 | − | 0.819587i | 0.144884 | − | 0.144884i | ||||
\(33\) | 8.31559 | − | 8.31559i | 1.44756 | − | 1.44756i | ||||
\(34\) | 3.46875 | − | 3.46875i | 0.594886 | − | 0.594886i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 4.85126i | 0.808544i | ||||||||
\(37\) | 2.73645 | + | 2.73645i | 0.449870 | + | 0.449870i | 0.895311 | − | 0.445441i | \(-0.146953\pi\) |
−0.445441 | + | 0.895311i | \(0.646953\pi\) | |||||||
\(38\) | −2.35166 | −0.381489 | ||||||||
\(39\) | 0.968037 | + | 7.30704i | 0.155010 | + | 1.17006i | ||||
\(40\) | 8.56081i | 1.35358i | ||||||||
\(41\) | 4.02565 | + | 4.02565i | 0.628701 | + | 0.628701i | 0.947741 | − | 0.319040i | \(-0.103360\pi\) |
−0.319040 | + | 0.947741i | \(0.603360\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.30948i | 0.809688i | 0.914386 | + | 0.404844i | \(0.132674\pi\) | ||||
−0.914386 | + | 0.404844i | \(0.867326\pi\) | |||||||
\(44\) | 16.7341 | − | 16.7341i | 2.52277 | − | 2.52277i | ||||
\(45\) | −1.36566 | − | 1.36566i | −0.203580 | − | 0.203580i | ||||
\(46\) | −6.19091 | − | 6.19091i | −0.912799 | − | 0.912799i | ||||
\(47\) | 0.328312 | − | 0.328312i | 0.0478892 | − | 0.0478892i | −0.682757 | − | 0.730646i | \(-0.739219\pi\) |
0.730646 | + | 0.682757i | \(0.239219\pi\) | |||||||
\(48\) | 9.60143i | 1.38585i | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.05216 | + | 4.05216i | 0.573062 | + | 0.573062i | ||||
\(51\) | 4.05579i | 0.567924i | ||||||||
\(52\) | 1.94806 | + | 14.7046i | 0.270147 | + | 2.03916i | ||||
\(53\) | 12.6367 | 1.73578 | 0.867891 | − | 0.496754i | \(-0.165475\pi\) | ||||
0.867891 | + | 0.496754i | \(0.165475\pi\) | |||||||
\(54\) | 6.50804 | + | 6.50804i | 0.885631 | + | 0.885631i | ||||
\(55\) | 9.42152i | 1.27040i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.37482 | − | 1.37482i | 0.182099 | − | 0.182099i | ||||
\(58\) | −4.96463 | + | 4.96463i | −0.651887 | + | 0.651887i | ||||
\(59\) | 8.48852 | − | 8.48852i | 1.10511 | − | 1.10511i | 0.111327 | − | 0.993784i | \(-0.464490\pi\) |
0.993784 | − | 0.111327i | \(-0.0355100\pi\) | |||||||
\(60\) | −9.73984 | − | 9.73984i | −1.25741 | − | 1.25741i | ||||
\(61\) | 5.05917i | 0.647760i | 0.946098 | + | 0.323880i | \(0.104987\pi\) | ||||
−0.946098 | + | 0.323880i | \(0.895013\pi\) | |||||||
\(62\) | −11.0867 | −1.40801 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 6.52733i | − | 0.815916i | ||||||
\(65\) | −4.68781 | − | 3.59103i | −0.581451 | − | 0.445412i | ||||
\(66\) | 29.0783i | 3.57929i | ||||||||
\(67\) | −4.29762 | + | 4.29762i | −0.525038 | + | 0.525038i | −0.919089 | − | 0.394051i | \(-0.871073\pi\) |
0.394051 | + | 0.919089i | \(0.371073\pi\) | |||||||
\(68\) | 8.16180i | 0.989764i | ||||||||
\(69\) | 7.23863 | 0.871429 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.84596 | + | 4.84596i | −0.575110 | + | 0.575110i | −0.933552 | − | 0.358442i | \(-0.883308\pi\) |
0.358442 | + | 0.933552i | \(0.383308\pi\) | |||||||
\(72\) | −4.35849 | − | 4.35849i | −0.513653 | − | 0.513653i | ||||
\(73\) | 3.10617 | − | 3.10617i | 0.363550 | − | 0.363550i | −0.501568 | − | 0.865118i | \(-0.667243\pi\) |
0.865118 | + | 0.501568i | \(0.167243\pi\) | |||||||
\(74\) | −9.56894 | −1.11237 | ||||||||
\(75\) | −4.73794 | −0.547090 | ||||||||
\(76\) | 2.76666 | − | 2.76666i | 0.317358 | − | 0.317358i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −14.4683 | − | 11.0832i | −1.63821 | − | 1.25493i | ||||
\(79\) | 6.16515 | 0.693634 | 0.346817 | − | 0.937933i | \(-0.387263\pi\) | ||||
0.346817 | + | 0.937933i | \(0.387263\pi\) | |||||||
\(80\) | −5.43918 | − | 5.43918i | −0.608119 | − | 0.608119i | ||||
\(81\) | −11.1471 | −1.23857 | ||||||||
\(82\) | −14.0771 | −1.55455 | ||||||||
\(83\) | −11.5176 | − | 11.5176i | −1.26422 | − | 1.26422i | −0.949027 | − | 0.315194i | \(-0.897930\pi\) |
−0.315194 | − | 0.949027i | \(-0.602070\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.29759 | − | 2.29759i | −0.249209 | − | 0.249209i | ||||
\(86\) | −9.28320 | − | 9.28320i | −1.00103 | − | 1.00103i | ||||
\(87\) | − | 5.80482i | − | 0.622342i | ||||||
\(88\) | 30.0687i | 3.20533i | ||||||||
\(89\) | −2.57087 | + | 2.57087i | −0.272512 | + | 0.272512i | −0.830111 | − | 0.557599i | \(-0.811723\pi\) |
0.557599 | + | 0.830111i | \(0.311723\pi\) | |||||||
\(90\) | 4.77549 | 0.503381 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 14.5669 | 1.51870 | ||||||||
\(93\) | 6.48146 | − | 6.48146i | 0.672096 | − | 0.672096i | ||||
\(94\) | 1.14805i | 0.118413i | ||||||||
\(95\) | 1.55766i | 0.159813i | ||||||||
\(96\) | −1.67549 | − | 1.67549i | −0.171004 | − | 0.171004i | ||||
\(97\) | 7.09855 | + | 7.09855i | 0.720749 | + | 0.720749i | 0.968758 | − | 0.248009i | \(-0.0797763\pi\) |
−0.248009 | + | 0.968758i | \(0.579776\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.79669 | − | 4.79669i | −0.482086 | − | 0.482086i | ||||
\(100\) | −9.53454 | −0.953454 | ||||||||
\(101\) | 4.25958 | 0.423844 | 0.211922 | − | 0.977287i | \(-0.432028\pi\) | ||||
0.211922 | + | 0.977287i | \(0.432028\pi\) | |||||||
\(102\) | −7.09122 | − | 7.09122i | −0.702136 | − | 0.702136i | ||||
\(103\) | 4.17124 | 0.411004 | 0.205502 | − | 0.978657i | \(-0.434117\pi\) | ||||
0.205502 | + | 0.978657i | \(0.434117\pi\) | |||||||
\(104\) | −14.9611 | − | 11.4607i | −1.46706 | − | 1.12382i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −22.0942 | + | 22.0942i | −2.14598 | + | 2.14598i | ||||
\(107\) | −3.82964 | −0.370225 | −0.185113 | − | 0.982717i | \(-0.559265\pi\) | ||||
−0.185113 | + | 0.982717i | \(0.559265\pi\) | |||||||
\(108\) | −15.3131 | −1.47350 | ||||||||
\(109\) | −1.01114 | + | 1.01114i | −0.0968495 | + | 0.0968495i | −0.753871 | − | 0.657022i | \(-0.771816\pi\) |
0.657022 | + | 0.753871i | \(0.271816\pi\) | |||||||
\(110\) | −16.4728 | − | 16.4728i | −1.57062 | − | 1.57062i | ||||
\(111\) | 5.59417 | − | 5.59417i | 0.530975 | − | 0.530975i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 15.2149 | 1.43129 | 0.715647 | − | 0.698462i | \(-0.246132\pi\) | ||||
0.715647 | + | 0.698462i | \(0.246132\pi\) | |||||||
\(114\) | 4.80753i | 0.450266i | ||||||||
\(115\) | −4.10066 | + | 4.10066i | −0.382389 | + | 0.382389i | ||||
\(116\) | − | 11.6815i | − | 1.08460i | ||||||
\(117\) | 4.21493 | − | 0.558394i | 0.389670 | − | 0.0516235i | ||||
\(118\) | 29.6830i | 2.73254i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 17.5010 | 1.59761 | ||||||||
\(121\) | 22.0918i | 2.00835i | ||||||||
\(122\) | −8.84555 | − | 8.84555i | −0.800838 | − | 0.800838i | ||||
\(123\) | 8.22970 | − | 8.22970i | 0.742047 | − | 0.742047i | ||||
\(124\) | 13.0432 | − | 13.0432i | 1.17131 | − | 1.17131i | ||||
\(125\) | 8.47452 | − | 8.47452i | 0.757984 | − | 0.757984i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 6.12999i | − | 0.543949i | −0.962304 | − | 0.271974i | \(-0.912323\pi\) | ||
0.962304 | − | 0.271974i | \(-0.0876766\pi\) | |||||||
\(128\) | 13.0517 | + | 13.0517i | 1.15362 | + | 1.15362i | ||||
\(129\) | 10.8542 | 0.955663 | ||||||||
\(130\) | 14.4749 | − | 1.91763i | 1.26953 | − | 0.168187i | ||||
\(131\) | − | 1.50908i | − | 0.131849i | −0.997825 | − | 0.0659247i | \(-0.979000\pi\) | ||
0.997825 | − | 0.0659247i | \(-0.0209997\pi\) | |||||||
\(132\) | −34.2099 | − | 34.2099i | −2.97759 | − | 2.97759i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 15.0281i | − | 1.29823i | ||||||
\(135\) | 4.31072 | − | 4.31072i | 0.371008 | − | 0.371008i | ||||
\(136\) | −7.33275 | − | 7.33275i | −0.628778 | − | 0.628778i | ||||
\(137\) | 4.82093 | + | 4.82093i | 0.411880 | + | 0.411880i | 0.882393 | − | 0.470513i | \(-0.155931\pi\) |
−0.470513 | + | 0.882393i | \(0.655931\pi\) | |||||||
\(138\) | −12.6562 | + | 12.6562i | −1.07736 | + | 1.07736i | ||||
\(139\) | − | 6.26924i | − | 0.531750i | −0.964007 | − | 0.265875i | \(-0.914339\pi\) | ||
0.964007 | − | 0.265875i | \(-0.0856609\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.671172 | − | 0.671172i | −0.0565229 | − | 0.0565229i | ||||
\(142\) | − | 16.9456i | − | 1.42204i | ||||||
\(143\) | −16.4653 | − | 12.6130i | −1.37690 | − | 1.05475i | ||||
\(144\) | 5.53840 | 0.461533 | ||||||||
\(145\) | 3.28841 | + | 3.28841i | 0.273088 | + | 0.273088i | ||||
\(146\) | 10.8618i | 0.898929i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 11.2576 | − | 11.2576i | 0.925370 | − | 0.925370i | ||||
\(149\) | −1.91470 | + | 1.91470i | −0.156858 | + | 0.156858i | −0.781173 | − | 0.624315i | \(-0.785378\pi\) |
0.624315 | + | 0.781173i | \(0.285378\pi\) | |||||||
\(150\) | 8.28390 | − | 8.28390i | 0.676378 | − | 0.676378i | ||||
\(151\) | −0.199984 | − | 0.199984i | −0.0162745 | − | 0.0162745i | 0.698923 | − | 0.715197i | \(-0.253663\pi\) |
−0.715197 | + | 0.698923i | \(0.753663\pi\) | |||||||
\(152\) | 4.97127i | 0.403223i | ||||||||
\(153\) | 2.33951 | 0.189138 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.34346i | 0.589841i | ||||||||
\(156\) | 30.0608 | − | 3.98245i | 2.40679 | − | 0.318851i | ||||
\(157\) | − | 1.02239i | − | 0.0815953i | −0.999167 | − | 0.0407976i | \(-0.987010\pi\) | ||
0.999167 | − | 0.0407976i | \(-0.0129899\pi\) | |||||||
\(158\) | −10.7793 | + | 10.7793i | −0.857553 | + | 0.857553i | ||||
\(159\) | − | 25.8334i | − | 2.04872i | ||||||
\(160\) | 1.89832 | 0.150076 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 19.4898 | − | 19.4898i | 1.53126 | − | 1.53126i | ||||
\(163\) | −11.9892 | − | 11.9892i | −0.939069 | − | 0.939069i | 0.0591785 | − | 0.998247i | \(-0.481152\pi\) |
−0.998247 | + | 0.0591785i | \(0.981152\pi\) | |||||||
\(164\) | 16.5613 | − | 16.5613i | 1.29322 | − | 1.29322i | ||||
\(165\) | 19.2606 | 1.49943 | ||||||||
\(166\) | 40.2752 | 3.12596 | ||||||||
\(167\) | 0.350041 | − | 0.350041i | 0.0270870 | − | 0.0270870i | −0.693434 | − | 0.720521i | \(-0.743903\pi\) |
0.720521 | + | 0.693434i | \(0.243903\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.5515 | − | 3.38507i | 0.965504 | − | 0.260390i | ||||
\(170\) | 8.03432 | 0.616204 | ||||||||
\(171\) | −0.793039 | − | 0.793039i | −0.0606452 | − | 0.0606452i | ||||
\(172\) | 21.8429 | 1.66551 | ||||||||
\(173\) | −3.97561 | −0.302260 | −0.151130 | − | 0.988514i | \(-0.548291\pi\) | ||||
−0.151130 | + | 0.988514i | \(0.548291\pi\) | |||||||
\(174\) | 10.1493 | + | 10.1493i | 0.769413 | + | 0.769413i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −19.1044 | − | 19.1044i | −1.44005 | − | 1.44005i | ||||
\(177\) | −17.3532 | − | 17.3532i | −1.30435 | − | 1.30435i | ||||
\(178\) | − | 8.98993i | − | 0.673824i | ||||||
\(179\) | − | 6.43482i | − | 0.480961i | −0.970654 | − | 0.240481i | \(-0.922695\pi\) | ||
0.970654 | − | 0.240481i | \(-0.0773050\pi\) | |||||||
\(180\) | −5.61824 | + | 5.61824i | −0.418759 | + | 0.418759i | ||||
\(181\) | −10.7701 | −0.800535 | −0.400268 | − | 0.916398i | \(-0.631083\pi\) | ||||
−0.400268 | + | 0.916398i | \(0.631083\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.3425 | 0.764542 | ||||||||
\(184\) | −13.0872 | + | 13.0872i | −0.964803 | + | 0.964803i | ||||
\(185\) | 6.33817i | 0.465991i | ||||||||
\(186\) | 22.6646i | 1.66185i | ||||||||
\(187\) | −8.06999 | − | 8.06999i | −0.590136 | − | 0.590136i | ||||
\(188\) | −1.35066 | − | 1.35066i | −0.0985067 | − | 0.0985067i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.72345 | − | 2.72345i | −0.197580 | − | 0.197580i | ||||
\(191\) | 2.04668 | 0.148092 | 0.0740461 | − | 0.997255i | \(-0.476409\pi\) | ||||
0.0740461 | + | 0.997255i | \(0.476409\pi\) | |||||||
\(192\) | −13.3439 | −0.963014 | ||||||||
\(193\) | −2.03484 | − | 2.03484i | −0.146471 | − | 0.146471i | 0.630069 | − | 0.776539i | \(-0.283027\pi\) |
−0.776539 | + | 0.630069i | \(0.783027\pi\) | |||||||
\(194\) | −24.8225 | −1.78215 | ||||||||
\(195\) | −7.34119 | + | 9.58336i | −0.525714 | + | 0.686278i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.42190 | + | 4.42190i | −0.315047 | + | 0.315047i | −0.846861 | − | 0.531814i | \(-0.821511\pi\) |
0.531814 | + | 0.846861i | \(0.321511\pi\) | |||||||
\(198\) | 16.7733 | 1.19202 | ||||||||
\(199\) | −20.8127 | −1.47537 | −0.737687 | − | 0.675143i | \(-0.764082\pi\) | ||||
−0.737687 | + | 0.675143i | \(0.764082\pi\) | |||||||
\(200\) | 8.56605 | − | 8.56605i | 0.605711 | − | 0.605711i | ||||
\(201\) | 8.78569 | + | 8.78569i | 0.619695 | + | 0.619695i | ||||
\(202\) | −7.44753 | + | 7.44753i | −0.524006 | + | 0.524006i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 16.6853 | 1.16820 | ||||||||
\(205\) | 9.32421i | 0.651231i | ||||||||
\(206\) | −7.29307 | + | 7.29307i | −0.508133 | + | 0.508133i | ||||
\(207\) | − | 4.17547i | − | 0.290215i | ||||||
\(208\) | 16.7873 | − | 2.22399i | 1.16399 | − | 0.154206i | ||||
\(209\) | 5.47108i | 0.378443i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.4637 | −1.06456 | −0.532281 | − | 0.846568i | \(-0.678665\pi\) | ||||
−0.532281 | + | 0.846568i | \(0.678665\pi\) | |||||||
\(212\) | − | 51.9866i | − | 3.57046i | ||||||
\(213\) | 9.90668 | + | 9.90668i | 0.678794 | + | 0.678794i | ||||
\(214\) | 6.69582 | − | 6.69582i | 0.457717 | − | 0.457717i | ||||
\(215\) | −6.14890 | + | 6.14890i | −0.419351 | + | 0.419351i | ||||
\(216\) | 13.7576 | − | 13.7576i | 0.936088 | − | 0.936088i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 3.53579i | − | 0.239474i | ||||||
\(219\) | −6.35000 | − | 6.35000i | −0.429093 | − | 0.429093i | ||||
\(220\) | 38.7596 | 2.61317 | ||||||||
\(221\) | 7.09122 | − | 0.939445i | 0.477007 | − | 0.0631939i | ||||
\(222\) | 19.5619i | 1.31291i | ||||||||
\(223\) | −16.7037 | − | 16.7037i | −1.11856 | − | 1.11856i | −0.991953 | − | 0.126611i | \(-0.959590\pi\) |
−0.126611 | − | 0.991953i | \(-0.540410\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.73299i | 0.182199i | ||||||||
\(226\) | −26.6020 | + | 26.6020i | −1.76954 | + | 1.76954i | ||||
\(227\) | 15.1706 | + | 15.1706i | 1.00691 | + | 1.00691i | 0.999976 | + | 0.00693052i | \(0.00220607\pi\) |
0.00693052 | + | 0.999976i | \(0.497794\pi\) | |||||||
\(228\) | −5.65593 | − | 5.65593i | −0.374573 | − | 0.374573i | ||||
\(229\) | −0.715649 | + | 0.715649i | −0.0472914 | + | 0.0472914i | −0.730357 | − | 0.683066i | \(-0.760646\pi\) |
0.683066 | + | 0.730357i | \(0.260646\pi\) | |||||||
\(230\) | − | 14.3394i | − | 0.945509i | ||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.4949 | + | 10.4949i | 0.689027 | + | 0.689027i | ||||
\(233\) | 2.17601i | 0.142555i | 0.997457 | + | 0.0712775i | \(0.0227076\pi\) | ||||
−0.997457 | + | 0.0712775i | \(0.977292\pi\) | |||||||
\(234\) | −6.39316 | + | 8.34577i | −0.417934 | + | 0.545580i | ||||
\(235\) | 0.760435 | 0.0496053 | ||||||||
\(236\) | −34.9213 | − | 34.9213i | −2.27318 | − | 2.27318i | ||||
\(237\) | − | 12.6035i | − | 0.818686i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.20062 | + | 8.20062i | −0.530454 | + | 0.530454i | −0.920708 | − | 0.390253i | \(-0.872387\pi\) |
0.390253 | + | 0.920708i | \(0.372387\pi\) | |||||||
\(240\) | −11.1194 | + | 11.1194i | −0.717754 | + | 0.717754i | ||||
\(241\) | 4.54828 | − | 4.54828i | 0.292981 | − | 0.292981i | −0.545276 | − | 0.838257i | \(-0.683575\pi\) |
0.838257 | + | 0.545276i | \(0.183575\pi\) | |||||||
\(242\) | −38.6258 | − | 38.6258i | −2.48296 | − | 2.48296i | ||||
\(243\) | 11.6215i | 0.745518i | ||||||||
\(244\) | 20.8131 | 1.33242 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 28.7780i | 1.83482i | ||||||||
\(247\) | −2.72221 | − | 2.08531i | −0.173210 | − | 0.132685i | ||||
\(248\) | 23.4366i | 1.48822i | ||||||||
\(249\) | −23.5456 | + | 23.5456i | −1.49214 | + | 1.49214i | ||||
\(250\) | 29.6340i | 1.87422i | ||||||||
\(251\) | 1.99071 | 0.125652 | 0.0628261 | − | 0.998024i | \(-0.479989\pi\) | ||||
0.0628261 | + | 0.998024i | \(0.479989\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −14.4030 | + | 14.4030i | −0.905511 | + | 0.905511i | ||||
\(254\) | 10.7178 | + | 10.7178i | 0.672495 | + | 0.672495i | ||||
\(255\) | −4.69700 | + | 4.69700i | −0.294138 | + | 0.294138i | ||||
\(256\) | −32.5850 | −2.03656 | ||||||||
\(257\) | −2.10565 | −0.131347 | −0.0656735 | − | 0.997841i | \(-0.520920\pi\) | ||||
−0.0656735 | + | 0.997841i | \(0.520920\pi\) | |||||||
\(258\) | −18.9778 | + | 18.9778i | −1.18151 | + | 1.18151i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −14.7733 | + | 19.2854i | −0.916200 | + | 1.19603i | ||||
\(261\) | −3.34840 | −0.207261 | ||||||||
\(262\) | 2.63851 | + | 2.63851i | 0.163008 | + | 0.163008i | ||||
\(263\) | −20.2729 | −1.25008 | −0.625040 | − | 0.780593i | \(-0.714917\pi\) | ||||
−0.625040 | + | 0.780593i | \(0.714917\pi\) | |||||||
\(264\) | 61.4699 | 3.78321 | ||||||||
\(265\) | 14.6345 | + | 14.6345i | 0.898992 | + | 0.898992i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5.25567 | + | 5.25567i | 0.321642 | + | 0.321642i | ||||
\(268\) | 17.6802 | + | 17.6802i | 1.07999 | + | 1.07999i | ||||
\(269\) | 1.31985i | 0.0804729i | 0.999190 | + | 0.0402365i | \(0.0128111\pi\) | ||||
−0.999190 | + | 0.0402365i | \(0.987189\pi\) | |||||||
\(270\) | 15.0739i | 0.917368i | ||||||||
\(271\) | −19.4649 | + | 19.4649i | −1.18241 | + | 1.18241i | −0.203287 | + | 0.979119i | \(0.565163\pi\) |
−0.979119 | + | 0.203287i | \(0.934837\pi\) | |||||||
\(272\) | 9.31784 | 0.564977 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −16.8580 | −1.01843 | ||||||||
\(275\) | 9.42728 | − | 9.42728i | 0.568487 | − | 0.568487i | ||||
\(276\) | − | 29.7793i | − | 1.79250i | ||||||
\(277\) | − | 16.8151i | − | 1.01032i | −0.863025 | − | 0.505162i | \(-0.831433\pi\) | ||
0.863025 | − | 0.505162i | \(-0.168567\pi\) | |||||||
\(278\) | 10.9613 | + | 10.9613i | 0.657413 | + | 0.657413i | ||||
\(279\) | −3.73871 | − | 3.73871i | −0.223831 | − | 0.223831i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.9251 | − | 14.9251i | −0.890356 | − | 0.890356i | 0.104200 | − | 0.994556i | \(-0.466772\pi\) |
−0.994556 | + | 0.104200i | \(0.966772\pi\) | |||||||
\(282\) | 2.34698 | 0.139761 | ||||||||
\(283\) | −31.0846 | −1.84779 | −0.923895 | − | 0.382646i | \(-0.875013\pi\) | ||||
−0.923895 | + | 0.382646i | \(0.875013\pi\) | |||||||
\(284\) | 19.9360 | + | 19.9360i | 1.18299 | + | 1.18299i | ||||
\(285\) | 3.18436 | 0.188625 | ||||||||
\(286\) | 50.8411 | − | 6.73543i | 3.00629 | − | 0.398274i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.966477 | + | 0.966477i | −0.0569502 | + | 0.0569502i | ||||
\(289\) | −13.0640 | −0.768471 | ||||||||
\(290\) | −11.4991 | −0.675248 | ||||||||
\(291\) | 14.5117 | − | 14.5117i | 0.850689 | − | 0.850689i | ||||
\(292\) | −12.7786 | − | 12.7786i | −0.747813 | − | 0.747813i | ||||
\(293\) | −10.7578 | + | 10.7578i | −0.628478 | + | 0.628478i | −0.947685 | − | 0.319207i | \(-0.896583\pi\) |
0.319207 | + | 0.947685i | \(0.396583\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 19.6611 | 1.14471 | ||||||||
\(296\) | 20.2282i | 1.17574i | ||||||||
\(297\) | 15.1408 | − | 15.1408i | 0.878560 | − | 0.878560i | ||||
\(298\) | − | 6.69539i | − | 0.387854i | ||||||
\(299\) | −1.67669 | − | 12.6562i | −0.0969654 | − | 0.731925i | ||||
\(300\) | 19.4916i | 1.12535i | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0.699311 | 0.0402408 | ||||||||
\(303\) | − | 8.70792i | − | 0.500257i | ||||||
\(304\) | −3.15854 | − | 3.15854i | −0.181155 | − | 0.181155i | ||||
\(305\) | −5.85901 | + | 5.85901i | −0.335486 | + | 0.335486i | ||||
\(306\) | −4.09044 | + | 4.09044i | −0.233835 | + | 0.233835i | ||||
\(307\) | −18.9532 | + | 18.9532i | −1.08172 | + | 1.08172i | −0.0853681 | + | 0.996349i | \(0.527207\pi\) |
−0.996349 | + | 0.0853681i | \(0.972793\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 8.52732i | − | 0.485102i | ||||||
\(310\) | −12.8395 | − | 12.8395i | −0.729232 | − | 0.729232i | ||||
\(311\) | 11.2472 | 0.637773 | 0.318886 | − | 0.947793i | \(-0.396691\pi\) | ||||
0.318886 | + | 0.947793i | \(0.396691\pi\) | |||||||
\(312\) | −23.4293 | + | 30.5852i | −1.32643 | + | 1.73155i | ||||
\(313\) | − | 29.3033i | − | 1.65632i | −0.560493 | − | 0.828159i | \(-0.689388\pi\) | ||
0.560493 | − | 0.828159i | \(-0.310612\pi\) | |||||||
\(314\) | 1.78756 | + | 1.78756i | 0.100878 | + | 0.100878i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | − | 25.3631i | − | 1.42679i | ||||||
\(317\) | 10.7595 | − | 10.7595i | 0.604313 | − | 0.604313i | −0.337141 | − | 0.941454i | \(-0.609460\pi\) |
0.941454 | + | 0.337141i | \(0.109460\pi\) | |||||||
\(318\) | 45.1676 | + | 45.1676i | 2.53287 | + | 2.53287i | ||||
\(319\) | 11.5501 | + | 11.5501i | 0.646682 | + | 0.646682i | ||||
\(320\) | 7.55929 | − | 7.55929i | 0.422577 | − | 0.422577i | ||||
\(321\) | 7.82900i | 0.436972i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.33421 | − | 1.33421i | −0.0742377 | − | 0.0742377i | ||||
\(324\) | 45.8586i | 2.54770i | ||||||||
\(325\) | 1.09745 | + | 8.28390i | 0.0608756 | + | 0.459508i | ||||
\(326\) | 41.9244 | 2.32198 | ||||||||
\(327\) | 2.06709 | + | 2.06709i | 0.114310 | + | 0.114310i | ||||
\(328\) | 29.7581i | 1.64312i | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −33.6755 | + | 33.6755i | −1.85378 | + | 1.85378i | ||||
\(331\) | 18.1860 | − | 18.1860i | 0.999591 | − | 0.999591i | −0.000408961 | − | 1.00000i | \(-0.500130\pi\) |
1.00000 | 0.000408961i | \(0.000130176\pi\) | ||||||||
\(332\) | −47.3828 | + | 47.3828i | −2.60047 | + | 2.60047i | ||||
\(333\) | −3.22689 | − | 3.22689i | −0.176833 | − | 0.176833i | ||||
\(334\) | 1.22404i | 0.0669763i | ||||||||
\(335\) | −9.95413 | −0.543852 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 3.72672i | − | 0.203008i | −0.994835 | − | 0.101504i | \(-0.967635\pi\) | ||
0.994835 | − | 0.101504i | \(-0.0323654\pi\) | |||||||
\(338\) | −16.0268 | + | 27.8639i | −0.871746 | + | 1.51560i | ||||
\(339\) | − | 31.1040i | − | 1.68934i | ||||||
\(340\) | −9.45217 | + | 9.45217i | −0.512616 | + | 0.512616i | ||||
\(341\) | 25.7929i | 1.39676i | ||||||||
\(342\) | 2.77313 | 0.149954 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −19.6242 | + | 19.6242i | −1.05806 | + | 1.05806i | ||||
\(345\) | 8.38305 | + | 8.38305i | 0.451328 | + | 0.451328i | ||||
\(346\) | 6.95104 | − | 6.95104i | 0.373690 | − | 0.373690i | ||||
\(347\) | −13.5429 | −0.727021 | −0.363511 | − | 0.931590i | \(-0.618422\pi\) | ||||
−0.363511 | + | 0.931590i | \(0.618422\pi\) | |||||||
\(348\) | −23.8807 | −1.28014 | ||||||||
\(349\) | 21.5796 | − | 21.5796i | 1.15513 | − | 1.15513i | 0.169620 | − | 0.985509i | \(-0.445746\pi\) |
0.985509 | − | 0.169620i | \(-0.0542541\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.76258 | + | 13.3045i | 0.0940794 | + | 0.710140i | ||||
\(352\) | 6.66761 | 0.355385 | ||||||||
\(353\) | −1.95991 | − | 1.95991i | −0.104315 | − | 0.104315i | 0.653023 | − | 0.757338i | \(-0.273501\pi\) |
−0.757338 | + | 0.653023i | \(0.773501\pi\) | |||||||
\(354\) | 60.6814 | 3.22518 | ||||||||
\(355\) | −11.2242 | −0.595719 | ||||||||
\(356\) | 10.5764 | + | 10.5764i | 0.560550 | + | 0.560550i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.2508 | + | 11.2508i | 0.594621 | + | 0.594621i | ||||
\(359\) | 6.44914 | + | 6.44914i | 0.340373 | + | 0.340373i | 0.856507 | − | 0.516135i | \(-0.172630\pi\) |
−0.516135 | + | 0.856507i | \(0.672630\pi\) | |||||||
\(360\) | − | 10.0951i | − | 0.532059i | ||||||
\(361\) | − | 18.0955i | − | 0.952393i | ||||||
\(362\) | 18.8307 | − | 18.8307i | 0.989718 | − | 0.989718i | ||||
\(363\) | 45.1626 | 2.37042 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.19451 | 0.376578 | ||||||||
\(366\) | −18.0831 | + | 18.0831i | −0.945218 | + | 0.945218i | ||||
\(367\) | 12.1238i | 0.632857i | 0.948616 | + | 0.316429i | \(0.102484\pi\) | ||||
−0.948616 | + | 0.316429i | \(0.897516\pi\) | |||||||
\(368\) | − | 16.6302i | − | 0.866907i | ||||||
\(369\) | −4.74715 | − | 4.74715i | −0.247127 | − | 0.247127i | ||||
\(370\) | −11.0818 | − | 11.0818i | −0.576114 | − | 0.576114i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −26.6644 | − | 26.6644i | −1.38248 | − | 1.38248i | ||||
\(373\) | 27.7054 | 1.43453 | 0.717266 | − | 0.696800i | \(-0.245393\pi\) | ||||
0.717266 | + | 0.696800i | \(0.245393\pi\) | |||||||
\(374\) | 28.2195 | 1.45919 | ||||||||
\(375\) | −17.3246 | − | 17.3246i | −0.894638 | − | 0.894638i | ||||
\(376\) | 2.42692 | 0.125159 | ||||||||
\(377\) | −10.1493 | + | 1.34457i | −0.522714 | + | 0.0692491i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.97532 | − | 1.97532i | 0.101466 | − | 0.101466i | −0.654552 | − | 0.756017i | \(-0.727143\pi\) |
0.756017 | + | 0.654552i | \(0.227143\pi\) | |||||||
\(380\) | 6.40814 | 0.328731 | ||||||||
\(381\) | −12.5316 | −0.642015 | ||||||||
\(382\) | −3.57845 | + | 3.57845i | −0.183089 | + | 0.183089i | ||||
\(383\) | 12.8554 | + | 12.8554i | 0.656881 | + | 0.656881i | 0.954641 | − | 0.297759i | \(-0.0962393\pi\) |
−0.297759 | + | 0.954641i | \(0.596239\pi\) | |||||||
\(384\) | 26.6818 | − | 26.6818i | 1.36160 | − | 1.36160i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.11550 | 0.362169 | ||||||||
\(387\) | − | 6.26107i | − | 0.318268i | ||||||
\(388\) | 29.2030 | − | 29.2030i | 1.48256 | − | 1.48256i | ||||
\(389\) | 5.50490i | 0.279109i | 0.990214 | + | 0.139555i | \(0.0445671\pi\) | ||||
−0.990214 | + | 0.139555i | \(0.955433\pi\) | |||||||
\(390\) | −3.92024 | − | 29.5912i | −0.198509 | − | 1.49841i | ||||
\(391\) | − | 7.02483i | − | 0.355261i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.08505 | −0.155620 | ||||||||
\(394\) | − | 15.4627i | − | 0.778998i | ||||||
\(395\) | 7.13985 | + | 7.13985i | 0.359245 | + | 0.359245i | ||||
\(396\) | −19.7333 | + | 19.7333i | −0.991637 | + | 0.991637i | ||||
\(397\) | −17.6301 | + | 17.6301i | −0.884830 | + | 0.884830i | −0.994021 | − | 0.109190i | \(-0.965174\pi\) |
0.109190 | + | 0.994021i | \(0.465174\pi\) | |||||||
\(398\) | 36.3893 | − | 36.3893i | 1.82403 | − | 1.82403i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 10.8850i | 0.544251i | ||||||||
\(401\) | −5.78568 | − | 5.78568i | −0.288923 | − | 0.288923i | 0.547731 | − | 0.836654i | \(-0.315492\pi\) |
−0.836654 | + | 0.547731i | \(0.815492\pi\) | |||||||
\(402\) | −30.7221 | −1.53228 | ||||||||
\(403\) | −12.8336 | − | 9.83101i | −0.639288 | − | 0.489718i | ||||
\(404\) | − | 17.5237i | − | 0.871834i | ||||||
\(405\) | −12.9094 | − | 12.9094i | −0.641476 | − | 0.641476i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 22.2620i | 1.10348i | ||||||||
\(408\) | −14.9904 | + | 14.9904i | −0.742138 | + | 0.742138i | ||||
\(409\) | 3.17378 | + | 3.17378i | 0.156933 | + | 0.156933i | 0.781206 | − | 0.624273i | \(-0.214605\pi\) |
−0.624273 | + | 0.781206i | \(0.714605\pi\) | |||||||
\(410\) | −16.3026 | − | 16.3026i | −0.805129 | − | 0.805129i | ||||
\(411\) | 9.85551 | − | 9.85551i | 0.486136 | − | 0.486136i | ||||
\(412\) | − | 17.1602i | − | 0.845424i | ||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 7.30047 | + | 7.30047i | 0.358799 | + | 0.358799i | ||||
\(415\) | − | 26.6770i | − | 1.30952i | ||||||
\(416\) | −2.54137 | + | 3.31756i | −0.124601 | + | 0.162657i | ||||
\(417\) | −12.8163 | −0.627617 | ||||||||
\(418\) | −9.56575 | − | 9.56575i | −0.467876 | − | 0.467876i | ||||
\(419\) | 35.1474i | 1.71706i | 0.512760 | + | 0.858532i | \(0.328623\pi\) | ||||
−0.512760 | + | 0.858532i | \(0.671377\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.7123 | − | 24.7123i | 1.20440 | − | 1.20440i | 0.231589 | − | 0.972814i | \(-0.425607\pi\) |
0.972814 | − | 0.231589i | \(-0.0743926\pi\) | |||||||
\(422\) | 27.0370 | − | 27.0370i | 1.31614 | − | 1.31614i | ||||
\(423\) | −0.387153 | + | 0.387153i | −0.0188240 | + | 0.0188240i | ||||
\(424\) | 46.7060 | + | 46.7060i | 2.26824 | + | 2.26824i | ||||
\(425\) | 4.59800i | 0.223036i | ||||||||
\(426\) | −34.6421 | −1.67841 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 15.7549i | 0.761543i | ||||||||
\(429\) | −25.7849 | + | 33.6602i | −1.24491 | + | 1.62513i | ||||
\(430\) | − | 21.5017i | − | 1.03690i | ||||||
\(431\) | 25.2942 | − | 25.2942i | 1.21838 | − | 1.21838i | 0.250181 | − | 0.968199i | \(-0.419510\pi\) |
0.968199 | − | 0.250181i | \(-0.0804901\pi\) | |||||||
\(432\) | 17.4820i | 0.841105i | ||||||||
\(433\) | 3.82925 | 0.184022 | 0.0920110 | − | 0.995758i | \(-0.470670\pi\) | ||||
0.0920110 | + | 0.995758i | \(0.470670\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 6.72255 | − | 6.72255i | 0.322322 | − | 0.322322i | ||||
\(436\) | 4.15977 | + | 4.15977i | 0.199217 | + | 0.199217i | ||||
\(437\) | −2.38126 | + | 2.38126i | −0.113911 | + | 0.113911i | ||||
\(438\) | 22.2049 | 1.06099 | ||||||||
\(439\) | 4.29882 | 0.205171 | 0.102586 | − | 0.994724i | \(-0.467288\pi\) | ||||
0.102586 | + | 0.994724i | \(0.467288\pi\) | |||||||
\(440\) | −34.8225 | + | 34.8225i | −1.66010 | + | 1.66010i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.7559 | + | 14.0410i | −0.511606 | + | 0.667861i | ||||
\(443\) | −14.7499 | −0.700789 | −0.350395 | − | 0.936602i | \(-0.613952\pi\) | ||||
−0.350395 | + | 0.936602i | \(0.613952\pi\) | |||||||
\(444\) | −23.0141 | − | 23.0141i | −1.09220 | − | 1.09220i | ||||
\(445\) | −5.95465 | −0.282277 | ||||||||
\(446\) | 58.4102 | 2.76580 | ||||||||
\(447\) | 3.91425 | + | 3.91425i | 0.185137 | + | 0.185137i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −13.9834 | − | 13.9834i | −0.659915 | − | 0.659915i | 0.295445 | − | 0.955360i | \(-0.404532\pi\) |
−0.955360 | + | 0.295445i | \(0.904532\pi\) | |||||||
\(450\) | −4.77841 | − | 4.77841i | −0.225257 | − | 0.225257i | ||||
\(451\) | 32.7500i | 1.54214i | ||||||||
\(452\) | − | 62.5931i | − | 2.94413i | ||||||
\(453\) | −0.408830 | + | 0.408830i | −0.0192085 | + | 0.0192085i | ||||
\(454\) | −53.0491 | −2.48972 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 10.1628 | 0.475919 | ||||||||
\(457\) | −21.6338 | + | 21.6338i | −1.01199 | + | 1.01199i | −0.0120601 | + | 0.999927i | \(0.503839\pi\) |
−0.999927 | + | 0.0120601i | \(0.996161\pi\) | |||||||
\(458\) | − | 2.50251i | − | 0.116935i | ||||||
\(459\) | 7.38468i | 0.344687i | ||||||||
\(460\) | 16.8699 | + | 16.8699i | 0.786563 | + | 0.786563i | ||||
\(461\) | 4.39870 | + | 4.39870i | 0.204868 | + | 0.204868i | 0.802082 | − | 0.597214i | \(-0.203726\pi\) |
−0.597214 | + | 0.802082i | \(0.703726\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.67812 | + | 6.67812i | 0.310358 | + | 0.310358i | 0.845048 | − | 0.534690i | \(-0.179572\pi\) |
−0.534690 | + | 0.845048i | \(0.679572\pi\) | |||||||
\(464\) | −13.3361 | −0.619113 | ||||||||
\(465\) | 15.0123 | 0.696181 | ||||||||
\(466\) | −3.80457 | − | 3.80457i | −0.176243 | − | 0.176243i | ||||
\(467\) | −38.1046 | −1.76327 | −0.881636 | − | 0.471930i | \(-0.843558\pi\) | ||||
−0.881636 | + | 0.471930i | \(0.843558\pi\) | |||||||
\(468\) | −2.29720 | − | 17.3400i | −0.106188 | − | 0.801541i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −1.32956 | + | 1.32956i | −0.0613280 | + | 0.0613280i | ||||
\(471\) | −2.09008 | −0.0963058 | ||||||||
\(472\) | 62.7482 | 2.88822 | ||||||||
\(473\) | −21.5972 | + | 21.5972i | −0.993040 | + | 0.993040i | ||||
\(474\) | 22.0362 | + | 22.0362i | 1.01216 | + | 1.01216i | ||||
\(475\) | 1.55862 | − | 1.55862i | 0.0715142 | − | 0.0715142i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −14.9015 | −0.682293 | ||||||||
\(478\) | − | 28.6763i | − | 1.31162i | ||||||
\(479\) | −8.20919 | + | 8.20919i | −0.375087 | + | 0.375087i | −0.869326 | − | 0.494239i | \(-0.835447\pi\) |
0.494239 | + | 0.869326i | \(0.335447\pi\) | |||||||
\(480\) | − | 3.88077i | − | 0.177132i | ||||||
\(481\) | −11.0767 | − | 8.48518i | −0.505056 | − | 0.386891i | ||||
\(482\) | 15.9046i | 0.724436i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 90.8845 | 4.13111 | ||||||||
\(485\) | 16.4416i | 0.746577i | ||||||||
\(486\) | −20.3192 | − | 20.3192i | −0.921699 | − | 0.921699i | ||||
\(487\) | 23.5164 | − | 23.5164i | 1.06563 | − | 1.06563i | 0.0679387 | − | 0.997689i | \(-0.478358\pi\) |
0.997689 | − | 0.0679387i | \(-0.0216422\pi\) | |||||||
\(488\) | −18.6990 | + | 18.6990i | −0.846463 | + | 0.846463i | ||||
\(489\) | −24.5098 | + | 24.5098i | −1.10837 | + | 1.10837i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.41523i | 0.108998i | 0.998514 | + | 0.0544989i | \(0.0173561\pi\) | ||||
−0.998514 | + | 0.0544989i | \(0.982644\pi\) | |||||||
\(492\) | −33.8565 | − | 33.8565i | −1.52637 | − | 1.52637i | ||||
\(493\) | −5.63337 | −0.253714 | ||||||||
\(494\) | 8.40557 | − | 1.11357i | 0.378185 | − | 0.0501019i | ||||
\(495\) | − | 11.1101i | − | 0.499361i | ||||||
\(496\) | −14.8906 | − | 14.8906i | −0.668609 | − | 0.668609i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | − | 82.3352i | − | 3.68953i | ||||||
\(499\) | −0.347869 | + | 0.347869i | −0.0155727 | + | 0.0155727i | −0.714850 | − | 0.699278i | \(-0.753505\pi\) |
0.699278 | + | 0.714850i | \(0.253505\pi\) | |||||||
\(500\) | −34.8637 | − | 34.8637i | −1.55915 | − | 1.55915i | ||||
\(501\) | −0.715594 | − | 0.715594i | −0.0319704 | − | 0.0319704i | ||||
\(502\) | −3.48059 | + | 3.48059i | −0.155346 | + | 0.155346i | ||||
\(503\) | − | 15.5328i | − | 0.692575i | −0.938128 | − | 0.346288i | \(-0.887442\pi\) | ||
0.938128 | − | 0.346288i | \(-0.112558\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.93301 | + | 4.93301i | 0.219516 | + | 0.219516i | ||||
\(506\) | − | 50.3651i | − | 2.23900i | ||||||
\(507\) | −6.92015 | − | 25.6593i | −0.307335 | − | 1.13957i | ||||
\(508\) | −25.2184 | −1.11889 | ||||||||
\(509\) | 24.6288 | + | 24.6288i | 1.09165 | + | 1.09165i | 0.995352 | + | 0.0963018i | \(0.0307014\pi\) |
0.0963018 | + | 0.995352i | \(0.469299\pi\) | |||||||
\(510\) | − | 16.4247i | − | 0.727297i | ||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 30.8689 | − | 30.8689i | 1.36422 | − | 1.36422i | ||||
\(513\) | 2.50324 | − | 2.50324i | 0.110521 | − | 0.110521i | ||||
\(514\) | 3.68156 | − | 3.68156i | 0.162387 | − | 0.162387i | ||||
\(515\) | 4.83070 | + | 4.83070i | 0.212866 | + | 0.212866i | ||||
\(516\) | − | 44.6538i | − | 1.96577i | ||||||
\(517\) | 2.67092 | 0.117467 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 8.12741i | 0.356754i | ||||||||
\(520\) | −4.05377 | − | 30.5991i | −0.177769 | − | 1.34186i | ||||
\(521\) | 5.71857i | 0.250535i | 0.992123 | + | 0.125268i | \(0.0399789\pi\) | ||||
−0.992123 | + | 0.125268i | \(0.960021\pi\) | |||||||
\(522\) | 5.85441 | − | 5.85441i | 0.256241 | − | 0.256241i | ||||
\(523\) | 26.8158i | 1.17257i | 0.810104 | + | 0.586286i | \(0.199411\pi\) | ||||
−0.810104 | + | 0.586286i | \(0.800589\pi\) | |||||||
\(524\) | −6.20829 | −0.271210 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 35.4455 | − | 35.4455i | 1.54550 | − | 1.54550i | ||||
\(527\) | −6.29003 | − | 6.29003i | −0.273998 | − | 0.273998i | ||||
\(528\) | −39.0554 | + | 39.0554i | −1.69967 | + | 1.69967i | ||||
\(529\) | 10.4623 | 0.454884 | ||||||||
\(530\) | −51.1746 | −2.22288 | ||||||||
\(531\) | −10.0099 | + | 10.0099i | −0.434391 | + | 0.434391i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −16.2952 | − | 12.4827i | −0.705825 | − | 0.540687i | ||||
\(534\) | −18.3783 | −0.795305 | ||||||||
\(535\) | −4.43510 | − | 4.43510i | −0.191746 | − | 0.191746i | ||||
\(536\) | −31.7685 | −1.37219 | ||||||||
\(537\) | −13.1548 | −0.567672 | ||||||||
\(538\) | −2.30766 | − | 2.30766i | −0.0994903 | − | 0.0994903i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −17.7341 | − | 17.7341i | −0.763152 | − | 0.763152i | ||||
\(541\) | 14.1144 | + | 14.1144i | 0.606825 | + | 0.606825i | 0.942115 | − | 0.335290i | \(-0.108834\pi\) |
−0.335290 | + | 0.942115i | \(0.608834\pi\) | |||||||
\(542\) | − | 68.0655i | − | 2.92366i | ||||||
\(543\) | 22.0175i | 0.944861i | ||||||||
\(544\) | −1.62601 | + | 1.62601i | −0.0697145 | + | 0.0697145i | ||||
\(545\) | −2.34200 | −0.100320 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.1973 | −0.478763 | −0.239382 | − | 0.970926i | \(-0.576945\pi\) | ||||
−0.239382 | + | 0.970926i | \(0.576945\pi\) | |||||||
\(548\) | 19.8330 | − | 19.8330i | 0.847226 | − | 0.847226i | ||||
\(549\) | − | 5.96589i | − | 0.254618i | ||||||
\(550\) | 32.9657i | 1.40566i | ||||||||
\(551\) | 1.90958 | + | 1.90958i | 0.0813510 | + | 0.0813510i | ||||
\(552\) | 26.7544 | + | 26.7544i | 1.13874 | + | 1.13874i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 29.3999 | + | 29.3999i | 1.24908 | + | 1.24908i | ||||
\(555\) | 12.9572 | 0.550003 | ||||||||
\(556\) | −25.7913 | −1.09380 | ||||||||
\(557\) | 21.9072 | + | 21.9072i | 0.928236 | + | 0.928236i | 0.997592 | − | 0.0693555i | \(-0.0220943\pi\) |
−0.0693555 | + | 0.997592i | \(0.522094\pi\) | |||||||
\(558\) | 13.0737 | 0.553453 | ||||||||
\(559\) | −2.51418 | − | 18.9778i | −0.106338 | − | 0.802675i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.4976 | + | 16.4976i | −0.696529 | + | 0.696529i | ||||
\(562\) | 52.1907 | 2.20153 | ||||||||
\(563\) | 35.6713 | 1.50336 | 0.751682 | − | 0.659526i | \(-0.229243\pi\) | ||||
0.751682 | + | 0.659526i | \(0.229243\pi\) | |||||||
\(564\) | −2.76117 | + | 2.76117i | −0.116266 | + | 0.116266i | ||||
\(565\) | 17.6203 | + | 17.6203i | 0.741293 | + | 0.741293i | ||||
\(566\) | 54.3490 | − | 54.3490i | 2.28446 | − | 2.28446i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −35.8220 | −1.50306 | ||||||||
\(569\) | − | 15.7402i | − | 0.659864i | −0.944005 | − | 0.329932i | \(-0.892974\pi\) | ||
0.944005 | − | 0.329932i | \(-0.107026\pi\) | |||||||
\(570\) | −5.56759 | + | 5.56759i | −0.233201 | + | 0.233201i | ||||
\(571\) | − | 5.63180i | − | 0.235683i | −0.993032 | − | 0.117842i | \(-0.962402\pi\) | ||
0.993032 | − | 0.117842i | \(-0.0375975\pi\) | |||||||
\(572\) | −51.8892 | + | 67.7373i | −2.16960 | + | 2.83224i | ||||
\(573\) | − | 4.18405i | − | 0.174791i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 8.20634 | 0.342228 | ||||||||
\(576\) | 7.69719i | 0.320716i | ||||||||
\(577\) | −27.0981 | − | 27.0981i | −1.12811 | − | 1.12811i | −0.990484 | − | 0.137626i | \(-0.956053\pi\) |
−0.137626 | − | 0.990484i | \(-0.543947\pi\) | |||||||
\(578\) | 22.8414 | − | 22.8414i | 0.950075 | − | 0.950075i | ||||
\(579\) | −4.15985 | + | 4.15985i | −0.172877 | + | 0.172877i | ||||
\(580\) | 13.5283 | − | 13.5283i | 0.561734 | − | 0.561734i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 50.7450i | 2.10345i | ||||||||
\(583\) | 51.4018 | + | 51.4018i | 2.12885 | + | 2.12885i | ||||
\(584\) | 22.9612 | 0.950142 | ||||||||
\(585\) | 5.52798 | + | 4.23463i | 0.228554 | + | 0.175080i | ||||
\(586\) | − | 37.6183i | − | 1.55400i | ||||||
\(587\) | 18.6594 | + | 18.6594i | 0.770156 | + | 0.770156i | 0.978134 | − | 0.207977i | \(-0.0666880\pi\) |
−0.207977 | + | 0.978134i | \(0.566688\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.26435i | 0.175710i | ||||||||
\(590\) | −34.3758 | + | 34.3758i | −1.41523 | + | 1.41523i | ||||
\(591\) | 9.03975 | + | 9.03975i | 0.371846 | + | 0.371846i | ||||
\(592\) | −12.8522 | − | 12.8522i | −0.528220 | − | 0.528220i | ||||
\(593\) | 32.2761 | − | 32.2761i | 1.32542 | − | 1.32542i | 0.416104 | − | 0.909317i | \(-0.363395\pi\) |
0.909317 | − | 0.416104i | \(-0.136605\pi\) | |||||||
\(594\) | 52.9450i | 2.17236i | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 7.87696 | + | 7.87696i | 0.322653 | + | 0.322653i | ||||
\(597\) | 42.5477i | 1.74136i | ||||||||
\(598\) | 25.0598 | + | 19.1967i | 1.02477 | + | 0.785013i | ||||
\(599\) | 4.68759 | 0.191530 | 0.0957650 | − | 0.995404i | \(-0.469470\pi\) | ||||
0.0957650 | + | 0.995404i | \(0.469470\pi\) | |||||||
\(600\) | −17.5117 | − | 17.5117i | −0.714912 | − | 0.714912i | ||||
\(601\) | − | 34.8781i | − | 1.42271i | −0.702835 | − | 0.711353i | \(-0.748083\pi\) | ||
0.702835 | − | 0.711353i | \(-0.251917\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.06786 | − | 5.06786i | 0.206379 | − | 0.206379i | ||||
\(604\) | −0.822722 | + | 0.822722i | −0.0334761 | + | 0.0334761i | ||||
\(605\) | −25.5845 | + | 25.5845i | −1.04016 | + | 1.04016i | ||||
\(606\) | 15.2251 | + | 15.2251i | 0.618477 | + | 0.618477i | ||||
\(607\) | − | 29.8381i | − | 1.21109i | −0.795811 | − | 0.605545i | \(-0.792955\pi\) | ||
0.795811 | − | 0.605545i | \(-0.207045\pi\) | |||||||
\(608\) | 1.10236 | 0.0447066 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | − | 20.4880i | − | 0.829536i | ||||||
\(611\) | −1.01803 | + | 1.32896i | −0.0411850 | + | 0.0537638i | ||||
\(612\) | − | 9.62460i | − | 0.389051i | ||||||
\(613\) | −30.1015 | + | 30.1015i | −1.21579 | + | 1.21579i | −0.246694 | + | 0.969093i | \(0.579344\pi\) |
−0.969093 | + | 0.246694i | \(0.920656\pi\) | |||||||
\(614\) | − | 66.2764i | − | 2.67470i | ||||||
\(615\) | 19.0616 | 0.768639 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 13.3408 | − | 13.3408i | 0.537079 | − | 0.537079i | −0.385591 | − | 0.922670i | \(-0.626002\pi\) |
0.922670 | + | 0.385591i | \(0.126002\pi\) | |||||||
\(618\) | 14.9093 | + | 14.9093i | 0.599742 | + | 0.599742i | ||||
\(619\) | −2.03692 | + | 2.03692i | −0.0818708 | + | 0.0818708i | −0.746856 | − | 0.664985i | \(-0.768438\pi\) |
0.664985 | + | 0.746856i | \(0.268438\pi\) | |||||||
\(620\) | 30.2106 | 1.21329 | ||||||||
\(621\) | 13.1799 | 0.528892 | ||||||||
\(622\) | −19.6649 | + | 19.6649i | −0.788491 | + | 0.788491i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.54653 | − | 34.3186i | −0.182007 | − | 1.37384i | ||||
\(625\) | 8.04059 | 0.321623 | ||||||||
\(626\) | 51.2344 | + | 51.2344i | 2.04774 | + | 2.04774i | ||||
\(627\) | 11.1846 | 0.446671 | ||||||||
\(628\) | −4.20604 | −0.167839 | ||||||||
\(629\) | −5.42895 | − | 5.42895i | −0.216466 | − | 0.216466i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.3632 | − | 25.3632i | −1.00969 | − | 1.00969i | −0.999953 | − | 0.00973923i | \(-0.996900\pi\) |
−0.00973923 | − | 0.999953i | \(-0.503100\pi\) | |||||||
\(632\) | 22.7868 | + | 22.7868i | 0.906409 | + | 0.906409i | ||||
\(633\) | 31.6126i | 1.25649i | ||||||||
\(634\) | 37.6242i | 1.49425i | ||||||||
\(635\) | 7.09914 | − | 7.09914i | 0.281721 | − | 0.281721i | ||||
\(636\) | −106.277 | −4.21416 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −40.3889 | −1.59901 | ||||||||
\(639\) | 5.71448 | − | 5.71448i | 0.226061 | − | 0.226061i | ||||
\(640\) | 30.2303i | 1.19496i | ||||||||
\(641\) | 3.27503i | 0.129356i | 0.997906 | + | 0.0646779i | \(0.0206020\pi\) | ||||
−0.997906 | + | 0.0646779i | \(0.979398\pi\) | |||||||
\(642\) | −13.6884 | − | 13.6884i | −0.540237 | − | 0.540237i | ||||
\(643\) | −30.3555 | − | 30.3555i | −1.19710 | − | 1.19710i | −0.975030 | − | 0.222072i | \(-0.928718\pi\) |
−0.222072 | − | 0.975030i | \(-0.571282\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.5703 | + | 12.5703i | 0.494955 | + | 0.494955i | ||||
\(646\) | 4.66553 | 0.183563 | ||||||||
\(647\) | 33.2683 | 1.30791 | 0.653956 | − | 0.756532i | \(-0.273108\pi\) | ||||
0.653956 | + | 0.756532i | \(0.273108\pi\) | |||||||
\(648\) | −41.2004 | − | 41.2004i | −1.61850 | − | 1.61850i | ||||
\(649\) | 69.0569 | 2.71072 | ||||||||
\(650\) | −16.4025 | − | 12.5649i | −0.643361 | − | 0.492837i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −49.3230 | + | 49.3230i | −1.93164 | + | 1.93164i | ||||
\(653\) | −30.9543 | −1.21134 | −0.605668 | − | 0.795718i | \(-0.707094\pi\) | ||||
−0.605668 | + | 0.795718i | \(0.707094\pi\) | |||||||
\(654\) | −7.22827 | −0.282648 | ||||||||
\(655\) | 1.74767 | − | 1.74767i | 0.0682871 | − | 0.0682871i | ||||
\(656\) | −18.9071 | − | 18.9071i | −0.738197 | − | 0.738197i | ||||
\(657\) | −3.66288 | + | 3.66288i | −0.142902 | + | 0.142902i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −43.2836 | −1.68609 | −0.843045 | − | 0.537843i | \(-0.819239\pi\) | ||||
−0.843045 | + | 0.537843i | \(0.819239\pi\) | |||||||
\(660\) | − | 79.2368i | − | 3.08429i | ||||||
\(661\) | −29.3071 | + | 29.3071i | −1.13992 | + | 1.13992i | −0.151451 | + | 0.988465i | \(0.548395\pi\) |
−0.988465 | + | 0.151451i | \(0.951605\pi\) | |||||||
\(662\) | 63.5934i | 2.47163i | ||||||||
\(663\) | −1.92052 | − | 14.4967i | −0.0745869 | − | 0.563005i | ||||
\(664\) | − | 85.1395i | − | 3.30406i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 11.2839 | 0.437243 | ||||||||
\(667\) | 10.0542i | 0.389302i | ||||||||
\(668\) | −1.44005 | − | 1.44005i | −0.0557172 | − | 0.0557172i | ||||
\(669\) | −34.1476 | + | 34.1476i | −1.32022 | + | 1.32022i | ||||
\(670\) | 17.4040 | − | 17.4040i | 0.672375 | − | 0.672375i | ||||
\(671\) | −20.5790 | + | 20.5790i | −0.794443 | + | 0.794443i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 12.5591i | − | 0.484116i | −0.970262 | − | 0.242058i | \(-0.922178\pi\) | ||
0.970262 | − | 0.242058i | \(-0.0778224\pi\) | |||||||
\(674\) | 6.51588 | + | 6.51588i | 0.250982 | + | 0.250982i | ||||
\(675\) | −8.62671 | −0.332042 | ||||||||
\(676\) | −13.9260 | − | 51.6364i | −0.535615 | − | 1.98601i | ||||
\(677\) | − | 8.39322i | − | 0.322578i | −0.986907 | − | 0.161289i | \(-0.948435\pi\) | ||
0.986907 | − | 0.161289i | \(-0.0515651\pi\) | |||||||
\(678\) | 54.3828 | + | 54.3828i | 2.08856 | + | 2.08856i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | − | 16.9841i | − | 0.651310i | ||||||
\(681\) | 31.0134 | − | 31.0134i | 1.18844 | − | 1.18844i | ||||
\(682\) | −45.0968 | − | 45.0968i | −1.72685 | − | 1.72685i | ||||
\(683\) | 7.43844 | + | 7.43844i | 0.284624 | + | 0.284624i | 0.834950 | − | 0.550326i | \(-0.185497\pi\) |
−0.550326 | + | 0.834950i | \(0.685497\pi\) | |||||||
\(684\) | −3.26252 | + | 3.26252i | −0.124746 | + | 0.124746i | ||||
\(685\) | 11.1662i | 0.426640i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.46301 | + | 1.46301i | 0.0558174 | + | 0.0558174i | ||||
\(688\) | − | 24.9367i | − | 0.950704i | ||||||
\(689\) | −45.1676 | + | 5.98380i | −1.72075 | + | 0.227965i | ||||
\(690\) | −29.3142 | −1.11597 | ||||||||
\(691\) | −24.8760 | − | 24.8760i | −0.946329 | − | 0.946329i | 0.0523022 | − | 0.998631i | \(-0.483344\pi\) |
−0.998631 | + | 0.0523022i | \(0.983344\pi\) | |||||||
\(692\) | 16.3555i | 0.621741i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 23.6787 | − | 23.6787i | 0.898830 | − | 0.898830i | ||||
\(695\) | 7.26040 | − | 7.26040i | 0.275403 | − | 0.275403i | ||||
\(696\) | 21.4550 | − | 21.4550i | 0.813248 | − | 0.813248i | ||||
\(697\) | −7.98664 | − | 7.98664i | −0.302515 | − | 0.302515i | ||||
\(698\) | 75.4604i | 2.85622i | ||||||||
\(699\) | 4.44844 | 0.168256 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 0.321018i | − | 0.0121247i | −0.999982 | − | 0.00606234i | \(-0.998070\pi\) | ||
0.999982 | − | 0.00606234i | \(-0.00192972\pi\) | |||||||
\(702\) | −26.3435 | − | 20.1801i | −0.994273 | − | 0.761648i | ||||
\(703\) | 3.68058i | 0.138816i | ||||||||
\(704\) | 26.5510 | − | 26.5510i | 1.00068 | − | 1.00068i | ||||
\(705\) | − | 1.55457i | − | 0.0585484i | ||||||
\(706\) | 6.85348 | 0.257934 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −71.3901 | + | 71.3901i | −2.68300 | + | 2.68300i | ||||
\(709\) | 17.7156 | + | 17.7156i | 0.665324 | + | 0.665324i | 0.956630 | − | 0.291306i | \(-0.0940898\pi\) |
−0.291306 | + | 0.956630i | \(0.594090\pi\) | |||||||
\(710\) | 19.6246 | − | 19.6246i | 0.736499 | − | 0.736499i | ||||
\(711\) | −7.27010 | −0.272650 | ||||||||
\(712\) | −19.0042 | −0.712213 | ||||||||
\(713\) | −11.2262 | + | 11.2262i | −0.420425 | + | 0.420425i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.46134 | − | 33.6755i | −0.166844 | − | 1.25939i | ||||
\(716\) | −26.4725 | −0.989323 | ||||||||
\(717\) | 16.7647 | + | 16.7647i | 0.626088 | + | 0.626088i | ||||
\(718\) | −22.5516 | −0.841619 | ||||||||
\(719\) | −31.0503 | −1.15798 | −0.578990 | − | 0.815335i | \(-0.696553\pi\) | ||||
−0.578990 | + | 0.815335i | \(0.696553\pi\) | |||||||
\(720\) | 6.41402 | + | 6.41402i | 0.239036 | + | 0.239036i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 31.6385 | + | 31.6385i | 1.17746 | + | 1.17746i | ||||
\(723\) | −9.29813 | − | 9.29813i | −0.345801 | − | 0.345801i | ||||
\(724\) | 44.3076i | 1.64668i | ||||||||
\(725\) | − | 6.58085i | − | 0.244407i | ||||||
\(726\) | −78.9632 | + | 78.9632i | −2.93060 | + | 2.93060i | ||||
\(727\) | 40.0423 | 1.48509 | 0.742543 | − | 0.669798i | \(-0.233619\pi\) | ||||
0.742543 | + | 0.669798i | \(0.233619\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −9.68335 | −0.358642 | ||||||||
\(730\) | −12.5790 | + | 12.5790i | −0.465571 | + | 0.465571i | ||||
\(731\) | − | 10.5337i | − | 0.389602i | ||||||
\(732\) | − | 42.5486i | − | 1.57264i | ||||||
\(733\) | 9.71594 | + | 9.71594i | 0.358866 | + | 0.358866i | 0.863395 | − | 0.504529i | \(-0.168334\pi\) |
−0.504529 | + | 0.863395i | \(0.668334\pi\) | |||||||
\(734\) | −21.1975 | − | 21.1975i | −0.782414 | − | 0.782414i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.90204 | + | 2.90204i | 0.106971 | + | 0.106971i | ||||
\(737\) | −34.9625 | −1.28786 | ||||||||
\(738\) | 16.6000 | 0.611055 | ||||||||
\(739\) | −23.6966 | − | 23.6966i | −0.871693 | − | 0.871693i | 0.120964 | − | 0.992657i | \(-0.461401\pi\) |
−0.992657 | + | 0.120964i | \(0.961401\pi\) | |||||||
\(740\) | 26.0749 | 0.958531 | ||||||||
\(741\) | −4.26304 | + | 5.56506i | −0.156607 | + | 0.204438i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 16.7361 | − | 16.7361i | 0.613988 | − | 0.613988i | −0.329994 | − | 0.943983i | \(-0.607047\pi\) |
0.943983 | + | 0.329994i | \(0.107047\pi\) | |||||||
\(744\) | 47.9118 | 1.75653 | ||||||||
\(745\) | −4.43482 | −0.162479 | ||||||||
\(746\) | −48.4407 | + | 48.4407i | −1.77354 | + | 1.77354i | ||||
\(747\) | 13.5818 | + | 13.5818i | 0.496934 | + | 0.496934i | ||||
\(748\) | −33.1995 | + | 33.1995i | −1.21389 | + | 1.21389i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 60.5813 | 2.21212 | ||||||||
\(751\) | − | 11.4871i | − | 0.419170i | −0.977790 | − | 0.209585i | \(-0.932789\pi\) | ||
0.977790 | − | 0.209585i | \(-0.0672114\pi\) | |||||||
\(752\) | −1.54196 | + | 1.54196i | −0.0562296 | + | 0.0562296i | ||||
\(753\) | − | 4.06963i | − | 0.148306i | ||||||
\(754\) | 15.3943 | − | 20.0960i | 0.560627 | − | 0.731855i | ||||
\(755\) | − | 0.463202i | − | 0.0168576i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.1190 | −0.622200 | −0.311100 | − | 0.950377i | \(-0.600697\pi\) | ||||
−0.311100 | + | 0.950377i | \(0.600697\pi\) | |||||||
\(758\) | 6.90739i | 0.250888i | ||||||||
\(759\) | 29.4443 | + | 29.4443i | 1.06876 | + | 1.06876i | ||||
\(760\) | −5.75722 | + | 5.75722i | −0.208836 | + | 0.208836i | ||||
\(761\) | 24.1664 | − | 24.1664i | 0.876030 | − | 0.876030i | −0.117091 | − | 0.993121i | \(-0.537357\pi\) |
0.993121 | + | 0.117091i | \(0.0373571\pi\) | |||||||
\(762\) | 21.9106 | − | 21.9106i | 0.793736 | − | 0.793736i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 8.41991i | − | 0.304622i | ||||||
\(765\) | 2.70938 | + | 2.70938i | 0.0979578 | + | 0.0979578i | ||||
\(766\) | −44.9534 | −1.62423 | ||||||||
\(767\) | −26.3211 | + | 34.3602i | −0.950402 | + | 1.24068i | ||||
\(768\) | 66.6140i | 2.40373i | ||||||||
\(769\) | −5.13005 | − | 5.13005i | −0.184994 | − | 0.184994i | 0.608534 | − | 0.793528i | \(-0.291758\pi\) |
−0.793528 | + | 0.608534i | \(0.791758\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.30462i | 0.155027i | ||||||||
\(772\) | −8.37120 | + | 8.37120i | −0.301286 | + | 0.301286i | ||||
\(773\) | −15.3264 | − | 15.3264i | −0.551253 | − | 0.551253i | 0.375549 | − | 0.926802i | \(-0.377454\pi\) |
−0.926802 | + | 0.375549i | \(0.877454\pi\) | |||||||
\(774\) | 10.9470 | + | 10.9470i | 0.393481 | + | 0.393481i | ||||
\(775\) | 7.34795 | − | 7.34795i | 0.263946 | − | 0.263946i | ||||
\(776\) | 52.4734i | 1.88368i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −9.62487 | − | 9.62487i | −0.345068 | − | 0.345068i | ||||
\(779\) | 5.41458i | 0.193997i | ||||||||
\(780\) | 39.4254 | + | 30.2012i | 1.41166 | + | 1.08138i | ||||
\(781\) | −39.4235 | −1.41068 | ||||||||
\(782\) | 12.2824 | + | 12.2824i | 0.439216 | + | 0.439216i | ||||
\(783\) | − | 10.5693i | − | 0.377715i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.18402 | − | 1.18402i | 0.0422596 | − | 0.0422596i | ||||
\(786\) | 5.39395 | − | 5.39395i | 0.192396 | − | 0.192396i | ||||
\(787\) | 9.46268 | − | 9.46268i | 0.337308 | − | 0.337308i | −0.518045 | − | 0.855353i | \(-0.673340\pi\) |
0.855353 | + | 0.518045i | \(0.173340\pi\) | |||||||
\(788\) | 18.1914 | + | 18.1914i | 0.648043 | + | 0.648043i | ||||
\(789\) | 41.4442i | 1.47545i | ||||||||
\(790\) | −24.9669 | −0.888283 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | − | 35.4577i | − | 1.25994i | ||||||
\(793\) | −2.39565 | − | 18.0831i | −0.0850720 | − | 0.642149i | ||||
\(794\) | − | 61.6497i | − | 2.18787i | ||||||
\(795\) | 29.9176 | − | 29.9176i | 1.06107 | − | 1.06107i | ||||
\(796\) | 85.6223i | 3.03480i | ||||||||
\(797\) | 53.9645 | 1.91152 | 0.955760 | − | 0.294149i | \(-0.0950363\pi\) | ||||
0.955760 | + | 0.294149i | \(0.0950363\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.651349 | + | 0.651349i | −0.0230431 | + | 0.0230431i | ||||
\(800\) | −1.89949 | − | 1.89949i | −0.0671570 | − | 0.0671570i | ||||
\(801\) | 3.03164 | − | 3.03164i | 0.107118 | − | 0.107118i | ||||
\(802\) | 20.2316 | 0.714402 | ||||||||
\(803\) | 25.2698 | 0.891751 | ||||||||
\(804\) | 36.1438 | − | 36.1438i | 1.27469 | − | 1.27469i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 39.6273 | − | 5.24983i | 1.39581 | − | 0.184917i | ||||
\(807\) | 2.69820 | 0.0949811 | ||||||||
\(808\) | 15.7437 | + | 15.7437i | 0.553860 | + | 0.553860i | ||||
\(809\) | 25.4183 | 0.893659 | 0.446829 | − | 0.894619i | \(-0.352553\pi\) | ||||
0.446829 | + | 0.894619i | \(0.352553\pi\) | |||||||
\(810\) | 45.1423 | 1.58614 | ||||||||
\(811\) | 15.9565 | + | 15.9565i | 0.560310 | + | 0.560310i | 0.929395 | − | 0.369085i | \(-0.120329\pi\) |
−0.369085 | + | 0.929395i | \(0.620329\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 39.7923 | + | 39.7923i | 1.39558 | + | 1.39558i | ||||
\(814\) | −38.9232 | − | 38.9232i | −1.36426 | − | 1.36426i | ||||
\(815\) | − | 27.7694i | − | 0.972720i | ||||||
\(816\) | − | 19.0486i | − | 0.666835i | ||||||
\(817\) | −3.57067 | + | 3.57067i | −0.124922 | + | 0.124922i | ||||
\(818\) | −11.0982 | −0.388040 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 38.3593 | 1.33956 | ||||||||
\(821\) | 27.7719 | − | 27.7719i | 0.969244 | − | 0.969244i | −0.0302966 | − | 0.999541i | \(-0.509645\pi\) |
0.999541 | + | 0.0302966i | \(0.00964518\pi\) | |||||||
\(822\) | 34.4631i | 1.20204i | ||||||||
\(823\) | − | 30.3011i | − | 1.05623i | −0.849173 | − | 0.528115i | \(-0.822899\pi\) | ||
0.849173 | − | 0.528115i | \(-0.177101\pi\) | |||||||
\(824\) | 15.4171 | + | 15.4171i | 0.537082 | + | 0.537082i | ||||
\(825\) | −19.2723 | − | 19.2723i | −0.670977 | − | 0.670977i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −7.62275 | − | 7.62275i | −0.265069 | − | 0.265069i | 0.562041 | − | 0.827110i | \(-0.310016\pi\) |
−0.827110 | + | 0.562041i | \(0.810016\pi\) | |||||||
\(828\) | −17.1776 | −0.596964 | ||||||||
\(829\) | 34.6984 | 1.20513 | 0.602563 | − | 0.798071i | \(-0.294146\pi\) | ||||
0.602563 | + | 0.798071i | \(0.294146\pi\) | |||||||
\(830\) | 46.6427 | + | 46.6427i | 1.61899 | + | 1.61899i | ||||
\(831\) | −34.3754 | −1.19247 | ||||||||
\(832\) | 3.09086 | + | 23.3308i | 0.107156 | + | 0.808849i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 22.4083 | − | 22.4083i | 0.775936 | − | 0.775936i | ||||
\(835\) | 0.810764 | 0.0280576 | ||||||||
\(836\) | 22.5077 | 0.778446 | ||||||||
\(837\) | 11.8013 | − | 11.8013i | 0.407912 | − | 0.407912i | ||||
\(838\) | −61.4524 | − | 61.4524i | −2.12284 | − | 2.12284i | ||||
\(839\) | −5.64491 | + | 5.64491i | −0.194884 | + | 0.194884i | −0.797803 | − | 0.602919i | \(-0.794004\pi\) |
0.602919 | + | 0.797803i | \(0.294004\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.9373 | −0.721975 | ||||||||
\(842\) | 86.4149i | 2.97805i | ||||||||
\(843\) | −30.5116 | + | 30.5116i | −1.05088 | + | 1.05088i | ||||
\(844\) | 63.6166i | 2.18977i | ||||||||
\(845\) | 18.4562 | + | 10.6157i | 0.634912 | + | 0.365191i | ||||
\(846\) | − | 1.35381i | − | 0.0465450i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −59.3501 | −2.03809 | ||||||||
\(849\) | 63.5468i | 2.18092i | ||||||||
\(850\) | −8.03923 | − | 8.03923i | −0.275743 | − | 0.275743i | ||||
\(851\) | −9.68939 | + | 9.68939i | −0.332148 | + | 0.332148i | ||||
\(852\) | 40.7555 | − | 40.7555i | 1.39626 | − | 1.39626i | ||||
\(853\) | 5.56139 | − | 5.56139i | 0.190418 | − | 0.190418i | −0.605458 | − | 0.795877i | \(-0.707010\pi\) |
0.795877 | + | 0.605458i | \(0.207010\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | − | 1.83684i | − | 0.0628185i | ||||||
\(856\) | −14.1546 | − | 14.1546i | −0.483794 | − | 0.483794i | ||||
\(857\) | 30.7159 | 1.04923 | 0.524617 | − | 0.851338i | \(-0.324209\pi\) | ||||
0.524617 | + | 0.851338i | \(0.324209\pi\) | |||||||
\(858\) | −13.7693 | − | 103.935i | −0.470077 | − | 3.54829i | ||||
\(859\) | 9.70111i | 0.330998i | 0.986210 | + | 0.165499i | \(0.0529234\pi\) | ||||
−0.986210 | + | 0.165499i | \(0.947077\pi\) | |||||||
\(860\) | 25.2962 | + | 25.2962i | 0.862594 | + | 0.862594i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 88.4499i | 3.01261i | ||||||||
\(863\) | −3.00951 | + | 3.00951i | −0.102445 | + | 0.102445i | −0.756471 | − | 0.654027i | \(-0.773078\pi\) |
0.654027 | + | 0.756471i | \(0.273078\pi\) | |||||||
\(864\) | −3.05070 | − | 3.05070i | −0.103787 | − | 0.103787i | ||||
\(865\) | −4.60415 | − | 4.60415i | −0.156546 | − | 0.156546i | ||||
\(866\) | −6.69514 | + | 6.69514i | −0.227510 | + | 0.227510i | ||||
\(867\) | 26.7069i | 0.907015i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 25.0778 | + | 25.0778i | 0.850705 | + | 0.850705i | ||||
\(870\) | 23.5077i | 0.796985i | ||||||||
\(871\) | 13.3260 | − | 17.3961i | 0.451535 | − | 0.589444i | ||||
\(872\) | −7.47446 | −0.253117 | ||||||||
\(873\) | −8.37079 | − | 8.37079i | −0.283308 | − | 0.283308i | ||||
\(874\) | − | 8.32688i | − | 0.281661i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −26.1235 | + | 26.1235i | −0.882633 | + | 0.882633i | ||||
\(877\) | −12.6009 | + | 12.6009i | −0.425502 | + | 0.425502i | −0.887093 | − | 0.461591i | \(-0.847279\pi\) |
0.461591 | + | 0.887093i | \(0.347279\pi\) | |||||||
\(878\) | −7.51613 | + | 7.51613i | −0.253657 | + | 0.253657i | ||||
\(879\) | 21.9923 | + | 21.9923i | 0.741783 | + | 0.741783i | ||||
\(880\) | − | 44.2495i | − | 1.49165i | ||||||
\(881\) | 38.7999 | 1.30720 | 0.653600 | − | 0.756840i | \(-0.273258\pi\) | ||||
0.653600 | + | 0.756840i | \(0.273258\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 42.2858i | − | 1.42303i | −0.702671 | − | 0.711514i | \(-0.748010\pi\) | ||
0.702671 | − | 0.711514i | \(-0.251990\pi\) | |||||||
\(884\) | −3.86483 | − | 29.1729i | −0.129988 | − | 0.981191i | ||||
\(885\) | − | 40.1934i | − | 1.35109i | ||||||
\(886\) | 25.7890 | − | 25.7890i | 0.866399 | − | 0.866399i | ||||
\(887\) | − | 24.8047i | − | 0.832860i | −0.909168 | − | 0.416430i | \(-0.863281\pi\) | ||
0.909168 | − | 0.416430i | \(-0.136719\pi\) | |||||||
\(888\) | 41.3528 | 1.38771 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 10.4112 | − | 10.4112i | 0.348985 | − | 0.348985i | ||||
\(891\) | −45.3427 | − | 45.3427i | −1.51904 | − | 1.51904i | ||||
\(892\) | −68.7181 | + | 68.7181i | −2.30085 | + | 2.30085i | ||||
\(893\) | 0.441585 | 0.0147771 | ||||||||
\(894\) | −13.6875 | −0.457778 | ||||||||
\(895\) | 7.45216 | − | 7.45216i | 0.249098 | − | 0.249098i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −25.8732 | + | 3.42768i | −0.863881 | + | 0.114447i | ||||
\(898\) | 48.8975 | 1.63173 | ||||||||
\(899\) | 9.00256 | + | 9.00256i | 0.300252 | + | 0.300252i | ||||
\(900\) | 11.2434 | 0.374779 | ||||||||
\(901\) | −25.0704 | −0.835215 | ||||||||
\(902\) | −57.2608 | − | 57.2608i | −1.90658 | − | 1.90658i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 56.2351 | + | 56.2351i | 1.87035 | + | 1.87035i | ||||
\(905\) | −12.4728 | − | 12.4728i | −0.414611 | − | 0.414611i | ||||
\(906\) | − | 1.42961i | − | 0.0474957i | ||||||
\(907\) | − | 36.6433i | − | 1.21672i | −0.793660 | − | 0.608361i | \(-0.791827\pi\) | ||
0.793660 | − | 0.608361i | \(-0.208173\pi\) | |||||||
\(908\) | 62.4109 | − | 62.4109i | 2.07118 | − | 2.07118i | ||||
\(909\) | −5.02300 | −0.166602 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −22.0142 | −0.729363 | −0.364682 | − | 0.931132i | \(-0.618822\pi\) | ||||
−0.364682 | + | 0.931132i | \(0.618822\pi\) | |||||||
\(912\) | −6.45705 | + | 6.45705i | −0.213814 | + | 0.213814i | ||||
\(913\) | − | 93.6995i | − | 3.10100i | ||||||
\(914\) | − | 75.6500i | − | 2.50228i | ||||||
\(915\) | 11.9777 | + | 11.9777i | 0.395970 | + | 0.395970i | ||||
\(916\) | 2.94414 | + | 2.94414i | 0.0972772 | + | 0.0972772i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −12.9115 | − | 12.9115i | −0.426144 | − | 0.426144i | ||||
\(919\) | 33.7663 | 1.11385 | 0.556924 | − | 0.830563i | \(-0.311981\pi\) | ||||
0.556924 | + | 0.830563i | \(0.311981\pi\) | |||||||
\(920\) | −30.3126 | −0.999377 | ||||||||
\(921\) | 38.7464 | + | 38.7464i | 1.27674 | + | 1.27674i | ||||
\(922\) | −15.3815 | −0.506564 | ||||||||
\(923\) | 15.0263 | − | 19.6157i | 0.494598 | − | 0.645659i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.34205 | − | 6.34205i | 0.208525 | − | 0.208525i | ||||
\(926\) | −23.3523 | −0.767404 | ||||||||
\(927\) | −4.91883 | −0.161555 | ||||||||
\(928\) | 2.32721 | − | 2.32721i | 0.0763944 | − | 0.0763944i | ||||
\(929\) | −16.4202 | − | 16.4202i | −0.538730 | − | 0.538730i | 0.384426 | − | 0.923156i | \(-0.374399\pi\) |
−0.923156 | + | 0.384426i | \(0.874399\pi\) | |||||||
\(930\) | −26.2479 | + | 26.2479i | −0.860702 | + | 0.860702i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 8.95197 | 0.293231 | ||||||||
\(933\) | − | 22.9929i | − | 0.752754i | ||||||
\(934\) | 66.6229 | − | 66.6229i | 2.17997 | − | 2.17997i | ||||
\(935\) | − | 18.6917i | − | 0.611283i | ||||||
\(936\) | 17.6425 | + | 13.5148i | 0.576663 | + | 0.441744i | ||||
\(937\) | 7.15492i | 0.233741i | 0.993147 | + | 0.116870i | \(0.0372862\pi\) | ||||
−0.993147 | + | 0.116870i | \(0.962714\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −59.9051 | −1.95493 | ||||||||
\(940\) | − | 3.12838i | − | 0.102037i | ||||||
\(941\) | −3.40215 | − | 3.40215i | −0.110907 | − | 0.110907i | 0.649476 | − | 0.760382i | \(-0.274988\pi\) |
−0.760382 | + | 0.649476i | \(0.774988\pi\) | |||||||
\(942\) | 3.65434 | − | 3.65434i | 0.119065 | − | 0.119065i | ||||
\(943\) | −14.2543 | + | 14.2543i | −0.464183 | + | 0.464183i | ||||
\(944\) | −39.8676 | + | 39.8676i | −1.29758 | + | 1.29758i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | − | 75.5219i | − | 2.45543i | ||||||
\(947\) | 13.3142 | + | 13.3142i | 0.432653 | + | 0.432653i | 0.889530 | − | 0.456877i | \(-0.151032\pi\) |
−0.456877 | + | 0.889530i | \(0.651032\pi\) | |||||||
\(948\) | −51.8501 | −1.68401 | ||||||||
\(949\) | −9.63161 | + | 12.5733i | −0.312655 | + | 0.408147i | ||||
\(950\) | 5.45023i | 0.176829i | ||||||||
\(951\) | −21.9958 | − | 21.9958i | −0.713262 | − | 0.713262i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 4.93813i | − | 0.159962i | −0.996796 | − | 0.0799809i | \(-0.974514\pi\) | ||
0.996796 | − | 0.0799809i | \(-0.0254859\pi\) | |||||||
\(954\) | 26.0541 | − | 26.0541i | 0.843532 | − | 0.843532i | ||||
\(955\) | 2.37025 | + | 2.37025i | 0.0766996 | + | 0.0766996i | ||||
\(956\) | 33.7369 | + | 33.7369i | 1.09113 | + | 1.09113i | ||||
\(957\) | 23.6121 | − | 23.6121i | 0.763270 | − | 0.763270i | ||||
\(958\) | − | 28.7062i | − | 0.927456i | ||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −15.4536 | − | 15.4536i | −0.498762 | − | 0.498762i | ||||
\(961\) | − | 10.8961i | − | 0.351487i | ||||||
\(962\) | 34.2025 | − | 4.53114i | 1.10273 | − | 0.146090i | ||||
\(963\) | 4.51601 | 0.145526 | ||||||||
\(964\) | −18.7114 | − | 18.7114i | −0.602653 | − | 0.602653i | ||||
\(965\) | − | 4.71308i | − | 0.151720i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.3931 | + | 10.3931i | −0.334219 | + | 0.334219i | −0.854186 | − | 0.519967i | \(-0.825944\pi\) |
0.519967 | + | 0.854186i | \(0.325944\pi\) | |||||||
\(968\) | −81.6527 | + | 81.6527i | −2.62442 | + | 2.62442i | ||||
\(969\) | −2.72756 | + | 2.72756i | −0.0876217 | + | 0.0876217i | ||||
\(970\) | −28.7469 | − | 28.7469i | −0.923007 | − | 0.923007i | ||||
\(971\) | 5.88769i | 0.188945i | 0.995527 | + | 0.0944724i | \(0.0301164\pi\) | ||||
−0.995527 | + | 0.0944724i | \(0.969884\pi\) | |||||||
\(972\) | 47.8101 | 1.53351 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 82.2330i | 2.63491i | ||||||||
\(975\) | 16.9349 | − | 2.24354i | 0.542351 | − | 0.0718507i | ||||
\(976\) | − | 23.7611i | − | 0.760575i | ||||||
\(977\) | 8.72187 | − | 8.72187i | 0.279037 | − | 0.279037i | −0.553687 | − | 0.832725i | \(-0.686780\pi\) |
0.832725 | + | 0.553687i | \(0.186780\pi\) | |||||||
\(978\) | − | 85.7067i | − | 2.74060i | ||||||
\(979\) | −20.9149 | −0.668443 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.19236 | − | 1.19236i | 0.0380691 | − | 0.0380691i | ||||
\(982\) | −4.22284 | − | 4.22284i | −0.134756 | − | 0.134756i | ||||
\(983\) | 3.51722 | − | 3.51722i | 0.112182 | − | 0.112182i | −0.648788 | − | 0.760970i | \(-0.724724\pi\) |
0.760970 | + | 0.648788i | \(0.224724\pi\) | |||||||
\(984\) | 60.8350 | 1.93935 | ||||||||
\(985\) | −10.2420 | −0.326337 | ||||||||
\(986\) | 9.84950 | − | 9.84950i | 0.313672 | − | 0.313672i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.57886 | + | 11.1990i | −0.272930 | + | 0.356289i | ||||
\(989\) | −18.8001 | −0.597809 | ||||||||
\(990\) | 19.4251 | + | 19.4251i | 0.617370 | + | 0.617370i | ||||
\(991\) | −15.1947 | −0.482677 | −0.241338 | − | 0.970441i | \(-0.577586\pi\) | ||||
−0.241338 | + | 0.970441i | \(0.577586\pi\) | |||||||
\(992\) | 5.19697 | 0.165004 | ||||||||
\(993\) | −37.1778 | − | 37.1778i | −1.17980 | − | 1.17980i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −24.1032 | − | 24.1032i | −0.764122 | − | 0.764122i | ||||
\(996\) | 96.8653 | + | 96.8653i | 3.06930 | + | 3.06930i | ||||
\(997\) | 59.7990i | 1.89385i | 0.321450 | + | 0.946926i | \(0.395830\pi\) | ||||
−0.321450 | + | 0.946926i | \(0.604170\pi\) | |||||||
\(998\) | − | 1.21644i | − | 0.0385057i | ||||||
\(999\) | 10.1857 | − | 10.1857i | 0.322262 | − | 0.322262i |
(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 | 637.2.i.a.538.1 | 32 | ||
7.2 | even | 3 | 637.2.bc.b.31.8 | 32 | |||
7.3 | odd | 6 | 637.2.bc.b.460.1 | 32 | |||
7.4 | even | 3 | 91.2.bb.a.5.1 | ✓ | 32 | ||
7.5 | odd | 6 | 91.2.bb.a.31.8 | yes | 32 | ||
7.6 | odd | 2 | inner | 637.2.i.a.538.2 | 32 | ||
13.8 | odd | 4 | inner | 637.2.i.a.489.1 | 32 | ||
21.5 | even | 6 | 819.2.fn.e.577.1 | 32 | |||
21.11 | odd | 6 | 819.2.fn.e.460.8 | 32 | |||
91.34 | even | 4 | inner | 637.2.i.a.489.2 | 32 | ||
91.47 | even | 12 | 91.2.bb.a.73.1 | yes | 32 | ||
91.60 | odd | 12 | 91.2.bb.a.47.8 | yes | 32 | ||
91.73 | even | 12 | 637.2.bc.b.411.8 | 32 | |||
91.86 | odd | 12 | 637.2.bc.b.619.1 | 32 | |||
273.47 | odd | 12 | 819.2.fn.e.73.8 | 32 | |||
273.242 | even | 12 | 819.2.fn.e.775.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.1 | ✓ | 32 | 7.4 | even | 3 | ||
91.2.bb.a.31.8 | yes | 32 | 7.5 | odd | 6 | ||
91.2.bb.a.47.8 | yes | 32 | 91.60 | odd | 12 | ||
91.2.bb.a.73.1 | yes | 32 | 91.47 | even | 12 | ||
637.2.i.a.489.1 | 32 | 13.8 | odd | 4 | inner | ||
637.2.i.a.489.2 | 32 | 91.34 | even | 4 | inner | ||
637.2.i.a.538.1 | 32 | 1.1 | even | 1 | trivial | ||
637.2.i.a.538.2 | 32 | 7.6 | odd | 2 | inner | ||
637.2.bc.b.31.8 | 32 | 7.2 | even | 3 | |||
637.2.bc.b.411.8 | 32 | 91.73 | even | 12 | |||
637.2.bc.b.460.1 | 32 | 7.3 | odd | 6 | |||
637.2.bc.b.619.1 | 32 | 91.86 | odd | 12 | |||
819.2.fn.e.73.8 | 32 | 273.47 | odd | 12 | |||
819.2.fn.e.460.8 | 32 | 21.11 | odd | 6 | |||
819.2.fn.e.577.1 | 32 | 21.5 | even | 6 | |||
819.2.fn.e.775.1 | 32 | 273.242 | even | 12 |