Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(370,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.370");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fm (of order \(12\), degree \(4\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 748.6 | ||
Character | \(\chi\) | \(=\) | 819.748 |
Dual form | 819.2.fm.e.496.6 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38083 | − | 0.369991i | 0.976392 | − | 0.261623i | 0.264867 | − | 0.964285i | \(-0.414672\pi\) |
0.711524 | + | 0.702661i | \(0.248005\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0377371 | − | 0.0217876i | 0.0188686 | − | 0.0108938i | ||||
\(5\) | −0.512287 | + | 0.512287i | −0.229102 | + | 0.229102i | −0.812317 | − | 0.583216i | \(-0.801794\pi\) |
0.583216 | + | 0.812317i | \(0.301794\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.41005 | + | 1.09162i | −0.910915 | + | 0.412595i | ||||
\(8\) | −1.97762 | + | 1.97762i | −0.699195 | + | 0.699195i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.517838 | + | 0.896921i | −0.163755 | + | 0.283631i | ||||
\(11\) | −1.38992 | − | 5.18727i | −0.419078 | − | 1.56402i | −0.776525 | − | 0.630086i | \(-0.783019\pi\) |
0.357447 | − | 0.933933i | \(-0.383647\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0545462 | + | 3.60514i | −0.0151284 | + | 0.999886i | ||||
\(14\) | −2.92397 | + | 2.39904i | −0.781465 | + | 0.641171i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.04263 | + | 3.53793i | −0.510656 | + | 0.884483i | ||||
\(17\) | 1.31681 | + | 2.28077i | 0.319372 | + | 0.553169i | 0.980357 | − | 0.197230i | \(-0.0631946\pi\) |
−0.660985 | + | 0.750399i | \(0.729861\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.26328 | − | 1.41029i | −1.20748 | − | 0.323543i | −0.401707 | − | 0.915768i | \(-0.631583\pi\) |
−0.805773 | + | 0.592225i | \(0.798250\pi\) | |||||||
\(20\) | −0.00817077 | + | 0.0304937i | −0.00182704 | + | 0.00681861i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.83849 | − | 6.64846i | −0.818368 | − | 1.41746i | ||||
\(23\) | −5.51236 | − | 3.18256i | −1.14941 | − | 0.663610i | −0.200663 | − | 0.979660i | \(-0.564310\pi\) |
−0.948742 | + | 0.316051i | \(0.897643\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.47512i | 0.895025i | ||||||||
\(26\) | 1.25855 | + | 4.99825i | 0.246822 | + | 0.980238i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.0671647 | + | 0.0937039i | −0.0126929 | + | 0.0177084i | ||||
\(29\) | −0.300703 | + | 0.520832i | −0.0558391 | + | 0.0967161i | −0.892594 | − | 0.450862i | \(-0.851117\pi\) |
0.836755 | + | 0.547578i | \(0.184450\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.22737 | + | 6.22737i | −1.11847 | + | 1.11847i | −0.126503 | + | 0.991966i | \(0.540375\pi\) |
−0.991966 | + | 0.126503i | \(0.959625\pi\) | |||||||
\(32\) | −0.0637871 | + | 0.238057i | −0.0112761 | + | 0.0420829i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.66215 | + | 2.66215i | 0.456554 | + | 0.456554i | ||||
\(35\) | 0.675414 | − | 1.79386i | 0.114166 | − | 0.303218i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.172749 | + | 0.644708i | 0.0283998 | + | 0.105989i | 0.978671 | − | 0.205435i | \(-0.0658608\pi\) |
−0.950271 | + | 0.311424i | \(0.899194\pi\) | |||||||
\(38\) | −7.78948 | −1.26362 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | − | 2.02622i | − | 0.320374i | ||||||
\(41\) | 2.11401 | + | 7.88960i | 0.330153 | + | 1.23215i | 0.909029 | + | 0.416733i | \(0.136825\pi\) |
−0.578876 | + | 0.815416i | \(0.696508\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.10340 | − | 2.36910i | 0.625762 | − | 0.361284i | −0.153347 | − | 0.988172i | \(-0.549005\pi\) |
0.779109 | + | 0.626888i | \(0.215672\pi\) | |||||||
\(44\) | −0.165470 | − | 0.165470i | −0.0249455 | − | 0.0249455i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −8.78913 | − | 2.35504i | −1.29589 | − | 0.347232i | ||||
\(47\) | −4.25821 | − | 4.25821i | −0.621123 | − | 0.621123i | 0.324695 | − | 0.945819i | \(-0.394738\pi\) |
−0.945819 | + | 0.324695i | \(0.894738\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.61671 | − | 5.26174i | 0.659530 | − | 0.751678i | ||||
\(50\) | 1.65576 | + | 6.17937i | 0.234159 | + | 0.873895i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0764887 | + | 0.137236i | 0.0106071 | + | 0.0190312i | ||||
\(53\) | −0.282101 | −0.0387495 | −0.0193748 | − | 0.999812i | \(-0.506168\pi\) | ||||
−0.0193748 | + | 0.999812i | \(0.506168\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.36941 | + | 1.94533i | 0.454331 | + | 0.262308i | ||||
\(56\) | 2.60736 | − | 6.92500i | 0.348423 | − | 0.925392i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.222515 | + | 0.830436i | −0.0292176 | + | 0.109042i | ||||
\(59\) | 1.21690 | − | 4.54153i | 0.158427 | − | 0.591257i | −0.840361 | − | 0.542028i | \(-0.817657\pi\) |
0.998787 | − | 0.0492295i | \(-0.0156766\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 13.0884 | − | 7.55656i | 1.67579 | − | 0.967519i | 0.711497 | − | 0.702690i | \(-0.248018\pi\) |
0.964295 | − | 0.264829i | \(-0.0853156\pi\) | |||||||
\(62\) | −6.29485 | + | 10.9030i | −0.799446 | + | 1.38468i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 7.81819i | − | 0.977273i | ||||||
\(65\) | −1.81892 | − | 1.87481i | −0.225610 | − | 0.232541i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.48192 | − | 1.20093i | 0.547553 | − | 0.146716i | 0.0255714 | − | 0.999673i | \(-0.491859\pi\) |
0.521982 | + | 0.852957i | \(0.325193\pi\) | |||||||
\(68\) | 0.0993850 | + | 0.0573799i | 0.0120522 | + | 0.00695834i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.268916 | − | 2.72691i | 0.0321416 | − | 0.325928i | ||||
\(71\) | −4.11194 | + | 15.3460i | −0.487998 | + | 1.82123i | 0.0781668 | + | 0.996940i | \(0.475093\pi\) |
−0.566165 | + | 0.824292i | \(0.691573\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.04327 | + | 3.04327i | 0.356188 | + | 0.356188i | 0.862406 | − | 0.506218i | \(-0.168957\pi\) |
−0.506218 | + | 0.862406i | \(0.668957\pi\) | |||||||
\(74\) | 0.477073 | + | 0.826314i | 0.0554586 | + | 0.0960571i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.229348 | + | 0.0614536i | −0.0263080 | + | 0.00704922i | ||||
\(77\) | 9.01234 | + | 10.9843i | 1.02705 | + | 1.25178i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.77147 | 0.536832 | 0.268416 | − | 0.963303i | \(-0.413500\pi\) | ||||
0.268416 | + | 0.963303i | \(0.413500\pi\) | |||||||
\(80\) | −0.766026 | − | 2.85885i | −0.0856443 | − | 0.319629i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.83817 | + | 10.1120i | 0.644718 | + | 1.11668i | ||||
\(83\) | −2.42351 | + | 2.42351i | −0.266015 | + | 0.266015i | −0.827492 | − | 0.561477i | \(-0.810233\pi\) |
0.561477 | + | 0.827492i | \(0.310233\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.84299 | − | 0.493829i | −0.199901 | − | 0.0535632i | ||||
\(86\) | 4.78954 | − | 4.78954i | 0.516469 | − | 0.516469i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 13.0072 | + | 7.50971i | 1.38657 | + | 0.800538i | ||||
\(89\) | 5.75969 | − | 1.54330i | 0.610526 | − | 0.163590i | 0.0597085 | − | 0.998216i | \(-0.480983\pi\) |
0.550817 | + | 0.834626i | \(0.314316\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.80400 | − | 8.74812i | −0.398767 | − | 0.917052i | ||||
\(92\) | −0.277361 | −0.0289169 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.45535 | − | 4.30435i | −0.768960 | − | 0.443959i | ||||
\(95\) | 3.41879 | − | 1.97384i | 0.350760 | − | 0.202511i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.7347 | − | 4.21610i | −1.59762 | − | 0.428080i | −0.653296 | − | 0.757103i | \(-0.726614\pi\) |
−0.944322 | + | 0.329022i | \(0.893281\pi\) | |||||||
\(98\) | 4.42808 | − | 8.97370i | 0.447304 | − | 0.906481i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.0975020 | + | 0.168878i | 0.00975020 | + | 0.0168878i | ||||
\(101\) | −8.39661 | + | 14.5434i | −0.835494 | + | 1.44712i | 0.0581328 | + | 0.998309i | \(0.481485\pi\) |
−0.893627 | + | 0.448810i | \(0.851848\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.962454 | 0.0948334 | 0.0474167 | − | 0.998875i | \(-0.484901\pi\) | ||||
0.0474167 | + | 0.998875i | \(0.484901\pi\) | |||||||
\(104\) | −7.02173 | − | 7.23748i | −0.688538 | − | 0.709693i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.389532 | + | 0.104375i | −0.0378347 | + | 0.0101378i | ||||
\(107\) | 5.96703 | − | 10.3352i | 0.576854 | − | 0.999141i | −0.418983 | − | 0.907994i | \(-0.637613\pi\) |
0.995837 | − | 0.0911468i | \(-0.0290533\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.42240 | + | 3.42240i | 0.327807 | + | 0.327807i | 0.851752 | − | 0.523945i | \(-0.175540\pi\) |
−0.523945 | + | 0.851752i | \(0.675540\pi\) | |||||||
\(110\) | 5.37233 | + | 1.43951i | 0.512231 | + | 0.137252i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.06075 | − | 10.7564i | 0.100231 | − | 1.01638i | ||||
\(113\) | −6.78443 | − | 11.7510i | −0.638226 | − | 1.10544i | −0.985822 | − | 0.167795i | \(-0.946335\pi\) |
0.347596 | − | 0.937644i | \(-0.386998\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.45429 | − | 1.19352i | 0.415365 | − | 0.111297i | ||||
\(116\) | 0.0262063i | 0.00243319i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 6.72131i | − | 0.618747i | ||||||
\(119\) | −5.66332 | − | 4.05933i | −0.519156 | − | 0.372118i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −15.4496 | + | 8.91981i | −1.40451 | + | 0.810892i | ||||
\(122\) | 15.2769 | − | 15.2769i | 1.38310 | − | 1.38310i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.0993241 | + | 0.370682i | −0.00891956 | + | 0.0332883i | ||||
\(125\) | −4.85398 | − | 4.85398i | −0.434153 | − | 0.434153i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.3554 | + | 6.55606i | 1.00763 | + | 0.581757i | 0.910497 | − | 0.413515i | \(-0.135699\pi\) |
0.0971344 | + | 0.995271i | \(0.469032\pi\) | |||||||
\(128\) | −3.02024 | − | 11.2717i | −0.266954 | − | 0.996285i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.20528 | − | 1.91580i | −0.281122 | − | 0.168027i | ||||
\(131\) | 6.96325i | 0.608382i | 0.952611 | + | 0.304191i | \(0.0983861\pi\) | ||||
−0.952611 | + | 0.304191i | \(0.901614\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 14.2243 | − | 2.34665i | 1.23340 | − | 0.203480i | ||||
\(134\) | 5.74442 | − | 3.31654i | 0.496242 | − | 0.286506i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.11466 | − | 1.90637i | −0.610077 | − | 0.163470i | ||||
\(137\) | 0.989826 | + | 0.265223i | 0.0845665 | + | 0.0226595i | 0.300854 | − | 0.953670i | \(-0.402728\pi\) |
−0.216288 | + | 0.976330i | \(0.569395\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.5680 | + | 7.83346i | −1.15082 | + | 0.664426i | −0.949087 | − | 0.315015i | \(-0.897990\pi\) |
−0.201732 | + | 0.979441i | \(0.564657\pi\) | |||||||
\(140\) | −0.0135957 | − | 0.0824109i | −0.00114905 | − | 0.00696499i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 22.7115i | 1.90591i | ||||||||
\(143\) | 18.7766 | − | 4.72792i | 1.57018 | − | 0.395369i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.112770 | − | 0.420862i | −0.00936500 | − | 0.0349507i | ||||
\(146\) | 5.32821 | + | 3.07624i | 0.440966 | + | 0.254592i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.0205657 | + | 0.0205657i | 0.00169049 | + | 0.00169049i | ||||
\(149\) | −3.05630 | + | 11.4063i | −0.250382 | + | 0.934438i | 0.720220 | + | 0.693746i | \(0.244041\pi\) |
−0.970602 | + | 0.240692i | \(0.922626\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.50103 | + | 8.50103i | −0.691804 | + | 0.691804i | −0.962629 | − | 0.270825i | \(-0.912704\pi\) |
0.270825 | + | 0.962629i | \(0.412704\pi\) | |||||||
\(152\) | 13.1978 | − | 7.61976i | 1.07048 | − | 0.618044i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 16.5086 | + | 11.8329i | 1.33030 | + | 0.953526i | ||||
\(155\) | − | 6.38040i | − | 0.512486i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.627679i | 0.0500942i | 0.999686 | + | 0.0250471i | \(0.00797357\pi\) | ||||
−0.999686 | + | 0.0250471i | \(0.992026\pi\) | |||||||
\(158\) | 6.58857 | − | 1.76540i | 0.524158 | − | 0.140448i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.0892761 | − | 0.154631i | −0.00705789 | − | 0.0122246i | ||||
\(161\) | 16.7592 | + | 1.65272i | 1.32081 | + | 0.130252i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.2260 | + | 3.27594i | 0.957613 | + | 0.256592i | 0.703590 | − | 0.710607i | \(-0.251579\pi\) |
0.254023 | + | 0.967198i | \(0.418246\pi\) | |||||||
\(164\) | 0.251672 | + | 0.251672i | 0.0196523 | + | 0.0196523i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.44977 | + | 4.24312i | −0.190139 | + | 0.329330i | ||||
\(167\) | −14.4241 | + | 3.86492i | −1.11617 | + | 0.299076i | −0.769332 | − | 0.638849i | \(-0.779411\pi\) |
−0.346837 | + | 0.937926i | \(0.612744\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9940 | − | 0.393293i | −0.999542 | − | 0.0302533i | ||||
\(170\) | −2.72757 | −0.209195 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.103234 | − | 0.178806i | 0.00787150 | − | 0.0136338i | ||||
\(173\) | −6.31043 | − | 10.9300i | −0.479773 | − | 0.830991i | 0.519958 | − | 0.854192i | \(-0.325948\pi\) |
−0.999731 | + | 0.0232010i | \(0.992614\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.88515 | − | 10.7853i | −0.369283 | − | 0.815291i | ||||
\(176\) | 21.1913 | + | 5.67819i | 1.59735 | + | 0.428010i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.38212 | − | 4.26207i | 0.553313 | − | 0.319456i | ||||
\(179\) | 9.45522 | + | 5.45897i | 0.706716 | + | 0.408023i | 0.809844 | − | 0.586645i | \(-0.199552\pi\) |
−0.103128 | + | 0.994668i | \(0.532885\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.94105 | −0.441595 | −0.220797 | − | 0.975320i | \(-0.570866\pi\) | ||||
−0.220797 | + | 0.975320i | \(0.570866\pi\) | |||||||
\(182\) | −8.48939 | − | 10.6722i | −0.629275 | − | 0.791075i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 17.1953 | − | 4.60746i | 1.26765 | − | 0.339666i | ||||
\(185\) | −0.418773 | − | 0.241779i | −0.0307888 | − | 0.0177759i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 10.0007 | − | 10.0007i | 0.731326 | − | 0.731326i | ||||
\(188\) | −0.253469 | − | 0.0679167i | −0.0184861 | − | 0.00495333i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.99045 | − | 3.99045i | 0.289498 | − | 0.289498i | ||||
\(191\) | 0.805155 | + | 1.39457i | 0.0582590 | + | 0.100907i | 0.893684 | − | 0.448697i | \(-0.148112\pi\) |
−0.835425 | + | 0.549604i | \(0.814778\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.36607 | − | 23.7585i | −0.458240 | − | 1.71017i | −0.678384 | − | 0.734707i | \(-0.737319\pi\) |
0.220144 | − | 0.975467i | \(-0.429347\pi\) | |||||||
\(194\) | −23.2868 | −1.67190 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0595811 | − | 0.299150i | 0.00425579 | − | 0.0213679i | ||||
\(197\) | 4.77159 | − | 1.27854i | 0.339962 | − | 0.0910925i | −0.0847991 | − | 0.996398i | \(-0.527025\pi\) |
0.424761 | + | 0.905306i | \(0.360358\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.30866 | − | 3.99871i | −0.163656 | − | 0.283461i | 0.772521 | − | 0.634989i | \(-0.218995\pi\) |
−0.936177 | + | 0.351528i | \(0.885662\pi\) | |||||||
\(200\) | −8.85011 | − | 8.85011i | −0.625797 | − | 0.625797i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.21335 | + | 23.1885i | −0.437170 | + | 1.63154i | ||||
\(203\) | 0.156156 | − | 1.58349i | 0.0109600 | − | 0.111139i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.12472 | − | 2.95876i | −0.357926 | − | 0.206649i | ||||
\(206\) | 1.32898 | − | 0.356100i | 0.0925946 | − | 0.0248106i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −12.6433 | − | 7.55693i | −0.876656 | − | 0.523979i | ||||
\(209\) | 29.2623i | 2.02411i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.39083 | + | 5.87308i | −0.233434 | + | 0.404320i | −0.958816 | − | 0.284026i | \(-0.908330\pi\) |
0.725382 | + | 0.688346i | \(0.241663\pi\) | |||||||
\(212\) | −0.0106457 | + | 0.00614629i | −0.000731149 | + | 0.000422129i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.41550 | − | 16.4789i | 0.301837 | − | 1.12647i | ||||
\(215\) | −0.888460 | + | 3.31578i | −0.0605924 | + | 0.226134i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.21035 | − | 21.8062i | 0.557355 | − | 1.48030i | ||||
\(218\) | 5.99200 | + | 3.45948i | 0.405830 | + | 0.234306i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.169536 | 0.0114301 | ||||||||
\(221\) | −8.29434 | + | 4.62286i | −0.557937 | + | 0.310967i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.00651 | + | 18.6845i | 0.335260 | + | 1.25121i | 0.903587 | + | 0.428406i | \(0.140925\pi\) |
−0.568326 | + | 0.822803i | \(0.692409\pi\) | |||||||
\(224\) | −0.106138 | − | 0.643361i | −0.00709165 | − | 0.0429864i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.7159 | − | 13.7159i | −0.912367 | − | 0.912367i | ||||
\(227\) | −11.5655 | − | 3.09897i | −0.767631 | − | 0.205686i | −0.146306 | − | 0.989239i | \(-0.546738\pi\) |
−0.621324 | + | 0.783553i | \(0.713405\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.755536 | − | 0.755536i | −0.0499272 | − | 0.0499272i | 0.681702 | − | 0.731630i | \(-0.261240\pi\) |
−0.731630 | + | 0.681702i | \(0.761240\pi\) | |||||||
\(230\) | 5.70901 | − | 3.29610i | 0.376441 | − | 0.217338i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.435333 | − | 1.62469i | −0.0285810 | − | 0.106666i | ||||
\(233\) | 16.2619i | 1.06535i | 0.846318 | + | 0.532677i | \(0.178814\pi\) | ||||
−0.846318 | + | 0.532677i | \(0.821186\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.36285 | 0.284601 | ||||||||
\(236\) | −0.0530266 | − | 0.197898i | −0.00345173 | − | 0.0128820i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −9.32198 | − | 3.50985i | −0.604254 | − | 0.227510i | ||||
\(239\) | −15.1795 | − | 15.1795i | −0.981878 | − | 0.981878i | 0.0179604 | − | 0.999839i | \(-0.494283\pi\) |
−0.999839 | + | 0.0179604i | \(0.994283\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.31373 | + | 12.3670i | −0.213456 | + | 0.796630i | 0.773248 | + | 0.634104i | \(0.218631\pi\) |
−0.986704 | + | 0.162526i | \(0.948036\pi\) | |||||||
\(242\) | −18.0329 | + | 18.0329i | −1.15920 | + | 1.15920i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.329278 | − | 0.570326i | 0.0210799 | − | 0.0365114i | ||||
\(245\) | 0.330441 | + | 5.06061i | 0.0211111 | + | 0.323310i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.37139 | − | 18.8979i | 0.341773 | − | 1.20245i | ||||
\(248\) | − | 24.6308i | − | 1.56406i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.49844 | − | 4.90658i | −0.537489 | − | 0.310319i | ||||
\(251\) | 3.61972 | + | 6.26954i | 0.228475 | + | 0.395730i | 0.957356 | − | 0.288910i | \(-0.0932928\pi\) |
−0.728881 | + | 0.684640i | \(0.759959\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.84703 | + | 33.0176i | −0.556208 | + | 2.07580i | ||||
\(254\) | 18.1056 | + | 4.85137i | 1.13604 | + | 0.304402i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.522655 | − | 0.905265i | −0.0326659 | − | 0.0565790i | ||||
\(257\) | 1.90293 | − | 3.29597i | 0.118701 | − | 0.205597i | −0.800552 | − | 0.599263i | \(-0.795460\pi\) |
0.919253 | + | 0.393667i | \(0.128794\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.12011 | − | 1.36520i | −0.0696005 | − | 0.0848296i | ||||
\(260\) | −0.109488 | − | 0.0311201i | −0.00679019 | − | 0.00192999i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.57634 | + | 9.61504i | 0.159167 | + | 0.594019i | ||||
\(263\) | −2.01647 | + | 3.49263i | −0.124341 | + | 0.215365i | −0.921475 | − | 0.388437i | \(-0.873015\pi\) |
0.797134 | + | 0.603802i | \(0.206348\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.144517 | − | 0.144517i | 0.00887759 | − | 0.00887759i | ||||
\(266\) | 18.7731 | − | 8.50318i | 1.15105 | − | 0.521363i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.142970 | − | 0.142970i | 0.00873325 | − | 0.00873325i | ||||
\(269\) | −6.03395 | + | 3.48370i | −0.367897 | + | 0.212405i | −0.672539 | − | 0.740062i | \(-0.734796\pi\) |
0.304643 | + | 0.952467i | \(0.401463\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.12317 | − | 2.17660i | 0.493447 | − | 0.132219i | −0.00350987 | − | 0.999994i | \(-0.501117\pi\) |
0.496957 | + | 0.867775i | \(0.334451\pi\) | |||||||
\(272\) | −10.7590 | −0.652358 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.46491 | 0.0884983 | ||||||||
\(275\) | 23.2137 | − | 6.22008i | 1.39984 | − | 0.375085i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.34222 | + | 4.81638i | −0.501236 | + | 0.289388i | −0.729224 | − | 0.684275i | \(-0.760119\pi\) |
0.227988 | + | 0.973664i | \(0.426785\pi\) | |||||||
\(278\) | −15.8367 | + | 15.8367i | −0.949821 | + | 0.949821i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.21187 | + | 4.88330i | 0.132185 | + | 0.291833i | ||||
\(281\) | 9.81783 | − | 9.81783i | 0.585683 | − | 0.585683i | −0.350777 | − | 0.936459i | \(-0.614082\pi\) |
0.936459 | + | 0.350777i | \(0.114082\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.916453 | − | 1.58734i | 0.0544775 | − | 0.0943578i | −0.837501 | − | 0.546436i | \(-0.815984\pi\) |
0.891978 | + | 0.452079i | \(0.149317\pi\) | |||||||
\(284\) | 0.179178 | + | 0.668703i | 0.0106323 | + | 0.0396802i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 24.1780 | − | 13.4756i | 1.42967 | − | 0.796831i | ||||
\(287\) | −13.7074 | − | 16.7067i | −0.809120 | − | 0.986163i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.03204 | − | 8.71576i | 0.296003 | − | 0.512692i | ||||
\(290\) | −0.311430 | − | 0.539413i | −0.0182878 | − | 0.0316754i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.181150 | + | 0.0485389i | 0.0106010 | + | 0.00284052i | ||||
\(293\) | −7.17194 | + | 26.7660i | −0.418989 | + | 1.56369i | 0.357719 | + | 0.933829i | \(0.383554\pi\) |
−0.776709 | + | 0.629860i | \(0.783112\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.70317 | + | 2.94997i | 0.0991622 | + | 0.171754i | ||||
\(296\) | −1.61662 | − | 0.933357i | −0.0939642 | − | 0.0542503i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 16.8809i | 0.977883i | ||||||||
\(299\) | 11.7742 | − | 19.6992i | 0.680922 | − | 1.13923i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.30324 | + | 10.1890i | −0.420952 | + | 0.587285i | ||||
\(302\) | −8.59314 | + | 14.8838i | −0.494480 | + | 0.856464i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 15.7404 | − | 15.7404i | 0.902776 | − | 0.902776i | ||||
\(305\) | −2.83386 | + | 10.5761i | −0.162267 | + | 0.605587i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.7091 | + | 16.7091i | 0.953641 | + | 0.953641i | 0.998972 | − | 0.0453311i | \(-0.0144343\pi\) |
−0.0453311 | + | 0.998972i | \(0.514434\pi\) | |||||||
\(308\) | 0.579421 | + | 0.218160i | 0.0330156 | + | 0.0124308i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.36069 | − | 8.81023i | −0.134078 | − | 0.500387i | ||||
\(311\) | 1.88740 | 0.107025 | 0.0535124 | − | 0.998567i | \(-0.482958\pi\) | ||||
0.0535124 | + | 0.998567i | \(0.482958\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.73972i | 0.267905i | 0.990988 | + | 0.133953i | \(0.0427670\pi\) | ||||
−0.990988 | + | 0.133953i | \(0.957233\pi\) | |||||||
\(314\) | 0.232236 | + | 0.866715i | 0.0131058 | + | 0.0489116i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.180062 | − | 0.103959i | 0.0101293 | − | 0.00584813i | ||||
\(317\) | −12.0340 | − | 12.0340i | −0.675897 | − | 0.675897i | 0.283172 | − | 0.959069i | \(-0.408613\pi\) |
−0.959069 | + | 0.283172i | \(0.908613\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.11965 | + | 0.835908i | 0.174667 | + | 0.0468019i | ||||
\(320\) | 4.00516 | + | 4.00516i | 0.223895 | + | 0.223895i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 23.7531 | − | 3.91865i | 1.32371 | − | 0.218378i | ||||
\(323\) | −3.71416 | − | 13.8614i | −0.206662 | − | 0.771271i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.1334 | − | 0.244101i | −0.894922 | − | 0.0135403i | ||||
\(326\) | 18.0940 | 1.00214 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −19.7834 | − | 11.4219i | −1.09235 | − | 0.630671i | ||||
\(329\) | 14.9109 | + | 5.61414i | 0.822063 | + | 0.309518i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.49452 | + | 16.7738i | −0.247041 | + | 0.921969i | 0.725306 | + | 0.688427i | \(0.241698\pi\) |
−0.972347 | + | 0.233542i | \(0.924968\pi\) | |||||||
\(332\) | −0.0386540 | + | 0.144259i | −0.00212141 | + | 0.00791722i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −18.4872 | + | 10.6736i | −1.01157 | + | 0.584032i | ||||
\(335\) | −1.68081 | + | 2.91125i | −0.0918324 | + | 0.159058i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 10.9597i | − | 0.597011i | −0.954408 | − | 0.298506i | \(-0.903512\pi\) | ||
0.954408 | − | 0.298506i | \(-0.0964882\pi\) | |||||||
\(338\) | −18.0880 | + | 4.26462i | −0.983860 | + | 0.231965i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0803086 | + | 0.0215186i | −0.00435535 | + | 0.00116701i | ||||
\(341\) | 40.9586 | + | 23.6475i | 2.21803 | + | 1.28058i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.38268 | + | 17.7208i | −0.290637 | + | 0.956833i | ||||
\(344\) | −3.42979 | + | 12.8002i | −0.184922 | + | 0.690138i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.7576 | − | 12.7576i | −0.685853 | − | 0.685853i | ||||
\(347\) | 1.04935 | + | 1.81754i | 0.0563323 | + | 0.0975704i | 0.892816 | − | 0.450421i | \(-0.148726\pi\) |
−0.836484 | + | 0.547991i | \(0.815393\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.33364 | + | 1.16119i | −0.231974 | + | 0.0621573i | −0.372933 | − | 0.927858i | \(-0.621648\pi\) |
0.140959 | + | 0.990015i | \(0.454981\pi\) | |||||||
\(350\) | −10.7360 | − | 13.0851i | −0.573864 | − | 0.699430i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.32352 | 0.0705440 | ||||||||
\(353\) | −3.60851 | − | 13.4671i | −0.192061 | − | 0.716783i | −0.993008 | − | 0.118047i | \(-0.962337\pi\) |
0.800946 | − | 0.598736i | \(-0.204330\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.75505 | − | 9.96804i | −0.305446 | − | 0.529049i | ||||
\(356\) | 0.183729 | − | 0.183729i | 0.00973764 | − | 0.00973764i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 15.0758 | + | 4.03954i | 0.796780 | + | 0.213497i | ||||
\(359\) | −14.5777 | + | 14.5777i | −0.769383 | + | 0.769383i | −0.977998 | − | 0.208615i | \(-0.933104\pi\) |
0.208615 | + | 0.977998i | \(0.433104\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.25874 | + | 5.34554i | 0.487302 | + | 0.281344i | ||||
\(362\) | −8.20356 | + | 2.19814i | −0.431169 | + | 0.115531i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.334152 | − | 0.247249i | −0.0175143 | − | 0.0129594i | ||||
\(365\) | −3.11805 | −0.163206 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.13097 | + | 3.53972i | 0.320034 | + | 0.184772i | 0.651408 | − | 0.758728i | \(-0.274179\pi\) |
−0.331374 | + | 0.943500i | \(0.607512\pi\) | |||||||
\(368\) | 22.5194 | − | 13.0016i | 1.17390 | − | 0.677753i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.667708 | − | 0.178912i | −0.0347125 | − | 0.00930119i | ||||
\(371\) | 0.679878 | − | 0.307948i | 0.0352975 | − | 0.0159879i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.61866 | − | 14.9280i | −0.446257 | − | 0.772941i | 0.551881 | − | 0.833923i | \(-0.313910\pi\) |
−0.998139 | + | 0.0609820i | \(0.980577\pi\) | |||||||
\(374\) | 10.1091 | − | 17.5094i | 0.522728 | − | 0.905392i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 16.8423 | 0.868573 | ||||||||
\(377\) | −1.86127 | − | 1.11248i | −0.0958603 | − | 0.0572959i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.36936 | − | 1.17077i | 0.224439 | − | 0.0601382i | −0.144847 | − | 0.989454i | \(-0.546269\pi\) |
0.369286 | + | 0.929316i | \(0.379602\pi\) | |||||||
\(380\) | 0.0860102 | − | 0.148974i | 0.00441223 | − | 0.00764220i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.62776 | + | 1.62776i | 0.0832833 | + | 0.0832833i | ||||
\(383\) | −27.6971 | − | 7.42141i | −1.41525 | − | 0.379216i | −0.531456 | − | 0.847086i | \(-0.678355\pi\) |
−0.883798 | + | 0.467870i | \(0.845022\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −10.2440 | − | 1.01022i | −0.522084 | − | 0.0514855i | ||||
\(386\) | −17.5809 | − | 30.4510i | −0.894843 | − | 1.54991i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.685642 | + | 0.183717i | −0.0348082 | + | 0.00932682i | ||||
\(389\) | − | 6.44786i | − | 0.326919i | −0.986550 | − | 0.163460i | \(-0.947735\pi\) | ||
0.986550 | − | 0.163460i | \(-0.0522654\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 16.7633i | − | 0.847754i | ||||||
\(392\) | 1.27563 | + | 19.5359i | 0.0644290 | + | 0.986710i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.11569 | − | 3.53089i | 0.308104 | − | 0.177884i | ||||
\(395\) | −2.44436 | + | 2.44436i | −0.122989 | + | 0.122989i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.70578 | − | 28.7583i | 0.386742 | − | 1.44334i | −0.448661 | − | 0.893702i | \(-0.648099\pi\) |
0.835403 | − | 0.549638i | \(-0.185234\pi\) | |||||||
\(398\) | −4.66734 | − | 4.66734i | −0.233953 | − | 0.233953i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −15.8327 | − | 9.14100i | −0.791634 | − | 0.457050i | ||||
\(401\) | 5.89581 | + | 22.0035i | 0.294423 | + | 1.09880i | 0.941675 | + | 0.336524i | \(0.109251\pi\) |
−0.647252 | + | 0.762276i | \(0.724082\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −22.1109 | − | 22.7902i | −1.10142 | − | 1.13526i | ||||
\(404\) | 0.731767i | 0.0364068i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.370252 | − | 2.24430i | −0.0183753 | − | 0.111383i | ||||
\(407\) | 3.10417 | − | 1.79219i | 0.153868 | − | 0.0888356i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.36322 | − | 0.633222i | −0.116854 | − | 0.0313108i | 0.199918 | − | 0.979813i | \(-0.435932\pi\) |
−0.316772 | + | 0.948502i | \(0.602599\pi\) | |||||||
\(410\) | −8.17107 | − | 2.18943i | −0.403540 | − | 0.108128i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.0363203 | − | 0.0209695i | 0.00178937 | − | 0.00103309i | ||||
\(413\) | 2.02485 | + | 12.2737i | 0.0996365 | + | 0.603951i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 2.48306i | − | 0.121889i | ||||||
\(416\) | −0.854748 | − | 0.242946i | −0.0419075 | − | 0.0119114i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 10.8268 | + | 40.4061i | 0.529555 | + | 1.97633i | ||||
\(419\) | −16.9152 | − | 9.76598i | −0.826361 | − | 0.477100i | 0.0262443 | − | 0.999656i | \(-0.491645\pi\) |
−0.852605 | + | 0.522556i | \(0.824979\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.8560 | + | 14.8560i | 0.724035 | + | 0.724035i | 0.969425 | − | 0.245389i | \(-0.0789158\pi\) |
−0.245389 | + | 0.969425i | \(0.578916\pi\) | |||||||
\(422\) | −2.50915 | + | 9.36428i | −0.122144 | + | 0.455846i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.557889 | − | 0.557889i | 0.0270935 | − | 0.0270935i | ||||
\(425\) | −10.2067 | + | 5.89287i | −0.495100 | + | 0.285846i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −23.2947 | + | 32.4993i | −1.12731 | + | 1.57275i | ||||
\(428\) | − | 0.520028i | − | 0.0251365i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.90723i | 0.236648i | ||||||||
\(431\) | −13.8720 | + | 3.71698i | −0.668188 | + | 0.179041i | −0.576939 | − | 0.816788i | \(-0.695753\pi\) |
−0.0912498 | + | 0.995828i | \(0.529086\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 18.2103 | + | 31.5412i | 0.875131 | + | 1.51577i | 0.856623 | + | 0.515943i | \(0.172558\pi\) |
0.0185084 | + | 0.999829i | \(0.494108\pi\) | |||||||
\(434\) | 3.26894 | − | 33.1484i | 0.156914 | − | 1.59117i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.203717 | + | 0.0545859i | 0.00975630 | + | 0.00261419i | ||||
\(437\) | 24.5248 | + | 24.5248i | 1.17318 | + | 1.17318i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −16.0130 | + | 27.7354i | −0.764259 | + | 1.32374i | 0.176378 | + | 0.984323i | \(0.443562\pi\) |
−0.940637 | + | 0.339414i | \(0.889771\pi\) | |||||||
\(440\) | −10.5106 | + | 2.81629i | −0.501071 | + | 0.134262i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.74262 | + | 9.45220i | −0.463409 | + | 0.449595i | ||||
\(443\) | −13.4249 | −0.637834 | −0.318917 | − | 0.947783i | \(-0.603319\pi\) | ||||
−0.318917 | + | 0.947783i | \(0.603319\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.16000 | + | 3.74123i | −0.102394 | + | 0.177351i | ||||
\(446\) | 13.8262 | + | 23.9477i | 0.654691 | + | 1.13396i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.53452 | + | 18.8422i | 0.403218 | + | 0.890213i | ||||
\(449\) | −18.5886 | − | 4.98079i | −0.877248 | − | 0.235058i | −0.208029 | − | 0.978123i | \(-0.566705\pi\) |
−0.669220 | + | 0.743065i | \(0.733371\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 37.9872 | − | 21.9319i | 1.78875 | − | 1.03273i | ||||
\(452\) | −0.512050 | − | 0.295632i | −0.0240848 | − | 0.0139054i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −17.1166 | −0.803320 | ||||||||
\(455\) | 6.43029 | + | 2.53281i | 0.301457 | + | 0.118740i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 24.5036 | − | 6.56571i | 1.14623 | − | 0.307131i | 0.364776 | − | 0.931095i | \(-0.381146\pi\) |
0.781453 | + | 0.623964i | \(0.214479\pi\) | |||||||
\(458\) | −1.32281 | − | 0.763722i | −0.0618107 | − | 0.0356864i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.142088 | − | 0.142088i | 0.00662490 | − | 0.00662490i | ||||
\(461\) | 23.2002 | + | 6.21648i | 1.08054 | + | 0.289530i | 0.754818 | − | 0.655935i | \(-0.227725\pi\) |
0.325724 | + | 0.945465i | \(0.394392\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.96489 | − | 1.96489i | 0.0913160 | − | 0.0913160i | −0.659973 | − | 0.751289i | \(-0.729432\pi\) |
0.751289 | + | 0.659973i | \(0.229432\pi\) | |||||||
\(464\) | −1.22845 | − | 2.12773i | −0.0570292 | − | 0.0987774i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.01678 | + | 22.4549i | 0.278722 | + | 1.04020i | ||||
\(467\) | −1.05748 | −0.0489341 | −0.0244671 | − | 0.999701i | \(-0.507789\pi\) | ||||
−0.0244671 | + | 0.999701i | \(0.507789\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.49070 | + | 7.78687i | −0.438240 | + | 0.359564i | ||||
\(470\) | 6.02434 | − | 1.61422i | 0.277882 | − | 0.0744582i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.57487 | + | 11.3880i | 0.302633 | + | 0.524176i | ||||
\(473\) | −17.9926 | − | 17.9926i | −0.827299 | − | 0.827299i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.31123 | − | 23.5538i | 0.289579 | − | 1.08072i | ||||
\(476\) | −0.302160 | − | 0.0297977i | −0.0138495 | − | 0.00136577i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −26.5765 | − | 15.3439i | −1.21558 | − | 0.701816i | ||||
\(479\) | 4.87277 | − | 1.30565i | 0.222643 | − | 0.0596569i | −0.145773 | − | 0.989318i | \(-0.546567\pi\) |
0.368416 | + | 0.929661i | \(0.379900\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.33369 | + | 0.587618i | −0.106407 | + | 0.0267931i | ||||
\(482\) | 18.3028i | 0.833668i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.388682 | + | 0.673217i | −0.0176674 | + | 0.0306008i | ||||
\(485\) | 10.2205 | − | 5.90083i | 0.464091 | − | 0.267943i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.725342 | − | 2.70701i | 0.0328684 | − | 0.122666i | −0.947542 | − | 0.319630i | \(-0.896441\pi\) |
0.980411 | + | 0.196964i | \(0.0631081\pi\) | |||||||
\(488\) | −10.9398 | + | 40.8279i | −0.495221 | + | 1.84819i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.32866 | + | 6.86556i | 0.105198 | + | 0.310154i | ||||
\(491\) | 10.7778 | + | 6.22255i | 0.486394 | + | 0.280820i | 0.723077 | − | 0.690767i | \(-0.242727\pi\) |
−0.236683 | + | 0.971587i | \(0.576060\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.58387 | −0.0713338 | ||||||||
\(494\) | 0.424886 | − | 28.0821i | 0.0191165 | − | 1.26348i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.31182 | − | 34.7522i | −0.418113 | − | 1.56042i | ||||
\(497\) | −6.84204 | − | 41.4733i | −0.306907 | − | 1.86033i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.23994 | − | 6.23994i | −0.279338 | − | 0.279338i | 0.553507 | − | 0.832845i | \(-0.313289\pi\) |
−0.832845 | + | 0.553507i | \(0.813289\pi\) | |||||||
\(500\) | −0.288932 | − | 0.0774191i | −0.0129214 | − | 0.00346229i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.31788 | + | 7.31788i | 0.326613 | + | 0.326613i | ||||
\(503\) | 13.6723 | − | 7.89370i | 0.609617 | − | 0.351963i | −0.163198 | − | 0.986593i | \(-0.552181\pi\) |
0.772816 | + | 0.634631i | \(0.218848\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.14890 | − | 11.7519i | −0.140124 | − | 0.522951i | ||||
\(506\) | 48.8649i | 2.17231i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.571362 | 0.0253501 | ||||||||
\(509\) | −6.32401 | − | 23.6015i | −0.280307 | − | 1.04612i | −0.952201 | − | 0.305472i | \(-0.901186\pi\) |
0.671894 | − | 0.740647i | \(-0.265481\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.6565 | − | 4.01233i | −0.471418 | − | 0.177495i | ||||
\(512\) | 15.4462 | + | 15.4462i | 0.682634 | + | 0.682634i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.40813 | − | 5.25523i | 0.0621101 | − | 0.231798i | ||||
\(515\) | −0.493053 | + | 0.493053i | −0.0217265 | + | 0.0217265i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.1699 | + | 28.0070i | −0.711150 | + | 1.23175i | ||||
\(518\) | −2.05180 | − | 1.47068i | −0.0901507 | − | 0.0646179i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.30481 | + | 0.110523i | 0.320337 | + | 0.00484674i | ||||
\(521\) | − | 2.98806i | − | 0.130909i | −0.997856 | − | 0.0654547i | \(-0.979150\pi\) | ||
0.997856 | − | 0.0654547i | \(-0.0208498\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −23.5900 | − | 13.6197i | −1.03152 | − | 0.595547i | −0.114099 | − | 0.993469i | \(-0.536398\pi\) |
−0.917419 | + | 0.397922i | \(0.869731\pi\) | |||||||
\(524\) | 0.151712 | + | 0.262773i | 0.00662757 | + | 0.0114793i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.49215 | + | 5.56879i | −0.0650610 | + | 0.242811i | ||||
\(527\) | −22.4035 | − | 6.00299i | −0.975910 | − | 0.261494i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.75738 | + | 15.1682i | 0.380756 | + | 0.659488i | ||||
\(530\) | 0.146083 | − | 0.253022i | 0.00634542 | − | 0.0109906i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.485657 | − | 0.398468i | 0.0210559 | − | 0.0172758i | ||||
\(533\) | −28.5584 | + | 7.19096i | −1.23700 | + | 0.311475i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.23776 | + | 8.35142i | 0.0967466 | + | 0.361063i | ||||
\(536\) | −6.48856 | + | 11.2385i | −0.280263 | + | 0.485430i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −7.04290 | + | 7.04290i | −0.303641 | + | 0.303641i | ||||
\(539\) | −33.7110 | − | 16.6347i | −1.45203 | − | 0.716507i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.00068 | + | 5.00068i | −0.214996 | + | 0.214996i | −0.806386 | − | 0.591390i | \(-0.798579\pi\) |
0.591390 | + | 0.806386i | \(0.298579\pi\) | |||||||
\(542\) | 10.4114 | − | 6.01100i | 0.447206 | − | 0.258195i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.626949 | + | 0.167990i | −0.0268802 | + | 0.00720253i | ||||
\(545\) | −3.50650 | −0.150202 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −23.2544 | −0.994288 | −0.497144 | − | 0.867668i | \(-0.665618\pi\) | ||||
−0.497144 | + | 0.867668i | \(0.665618\pi\) | |||||||
\(548\) | 0.0431318 | − | 0.0115571i | 0.00184250 | − | 0.000493696i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 29.7527 | − | 17.1777i | 1.26866 | − | 0.732460i | ||||
\(551\) | 2.31721 | − | 2.31721i | 0.0987164 | − | 0.0987164i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.4995 | + | 5.20865i | −0.489008 | + | 0.221494i | ||||
\(554\) | −9.73714 | + | 9.73714i | −0.413691 | + | 0.413691i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.341344 | + | 0.591225i | −0.0144762 | + | 0.0250735i | ||||
\(557\) | 4.49356 | + | 16.7702i | 0.190398 | + | 0.710576i | 0.993410 | + | 0.114613i | \(0.0365629\pi\) |
−0.803012 | + | 0.595963i | \(0.796770\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.31710 | + | 14.9225i | 0.351776 | + | 0.631156i | ||||
\(560\) | 4.96695 | + | 6.05376i | 0.209892 | + | 0.255818i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 9.92421 | − | 17.1892i | 0.418627 | − | 0.725084i | ||||
\(563\) | 9.17267 | + | 15.8875i | 0.386582 | + | 0.669579i | 0.991987 | − | 0.126338i | \(-0.0403223\pi\) |
−0.605405 | + | 0.795917i | \(0.706989\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.49545 | + | 2.54430i | 0.399477 | + | 0.107039i | ||||
\(566\) | 0.678159 | − | 2.53093i | 0.0285052 | − | 0.106383i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −22.2167 | − | 38.4804i | −0.932191 | − | 1.61460i | ||||
\(569\) | 12.1394 | + | 7.00867i | 0.508909 | + | 0.293819i | 0.732385 | − | 0.680891i | \(-0.238407\pi\) |
−0.223476 | + | 0.974709i | \(0.571740\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 10.4239i | − | 0.436226i | −0.975924 | − | 0.218113i | \(-0.930010\pi\) | ||
0.975924 | − | 0.218113i | \(-0.0699901\pi\) | |||||||
\(572\) | 0.605567 | − | 0.587515i | 0.0253200 | − | 0.0245652i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −25.1088 | − | 17.9974i | −1.04802 | − | 0.751196i | ||||
\(575\) | 14.2424 | − | 24.6685i | 0.593947 | − | 1.02875i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.2444 | − | 11.2444i | 0.468111 | − | 0.468111i | −0.433191 | − | 0.901302i | \(-0.642612\pi\) |
0.901302 | + | 0.433191i | \(0.142612\pi\) | |||||||
\(578\) | 3.72363 | − | 13.8968i | 0.154882 | − | 0.578029i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0134252 | − | 0.0134252i | −0.000557449 | − | 0.000557449i | ||||
\(581\) | 3.19522 | − | 8.48634i | 0.132560 | − | 0.352073i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.392099 | + | 1.46333i | 0.0162391 | + | 0.0606051i | ||||
\(584\) | −12.0369 | −0.498090 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 39.6128i | 1.63639i | ||||||||
\(587\) | 10.3083 | + | 38.4710i | 0.425468 | + | 1.58787i | 0.762900 | + | 0.646517i | \(0.223775\pi\) |
−0.337432 | + | 0.941350i | \(0.609558\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 41.5588 | − | 23.9940i | 1.71240 | − | 0.988656i | ||||
\(590\) | 3.44324 | + | 3.44324i | 0.141756 | + | 0.141756i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.63379 | − | 0.705723i | −0.108248 | − | 0.0290050i | ||||
\(593\) | −23.4934 | − | 23.4934i | −0.964759 | − | 0.964759i | 0.0346408 | − | 0.999400i | \(-0.488971\pi\) |
−0.999400 | + | 0.0346408i | \(0.988971\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.98079 | − | 0.821703i | 0.204192 | − | 0.0336865i | ||||
\(596\) | 0.133179 | + | 0.497029i | 0.00545521 | + | 0.0203591i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.96966 | − | 31.5576i | 0.366797 | − | 1.29048i | ||||
\(599\) | 45.3452 | 1.85276 | 0.926378 | − | 0.376594i | \(-0.122905\pi\) | ||||
0.926378 | + | 0.376594i | \(0.122905\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.8361 | + | 14.3392i | 1.01309 | + | 0.584906i | 0.912094 | − | 0.409981i | \(-0.134465\pi\) |
0.100993 | + | 0.994887i | \(0.467798\pi\) | |||||||
\(602\) | −6.31466 | + | 16.7714i | −0.257366 | + | 0.683552i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.135588 | + | 0.506021i | −0.00551700 | + | 0.0205897i | ||||
\(605\) | 3.34511 | − | 12.4841i | 0.135998 | − | 0.507552i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.50843 | + | 4.91234i | −0.345347 | + | 0.199386i | −0.662634 | − | 0.748944i | \(-0.730561\pi\) |
0.317287 | + | 0.948329i | \(0.397228\pi\) | |||||||
\(608\) | 0.671459 | − | 1.16300i | 0.0272313 | − | 0.0471659i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 15.6523i | 0.633743i | ||||||||
\(611\) | 15.5837 | − | 15.1192i | 0.630449 | − | 0.611656i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.7029 | + | 6.61912i | −0.997741 | + | 0.267344i | −0.720499 | − | 0.693456i | \(-0.756087\pi\) |
−0.277242 | + | 0.960800i | \(0.589420\pi\) | |||||||
\(614\) | 29.2547 | + | 16.8902i | 1.18062 | + | 0.681632i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −39.5458 | − | 3.89983i | −1.59335 | − | 0.157129i | ||||
\(617\) | −1.62469 | + | 6.06341i | −0.0654074 | + | 0.244104i | −0.990887 | − | 0.134693i | \(-0.956995\pi\) |
0.925480 | + | 0.378796i | \(0.123662\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −28.4665 | − | 28.4665i | −1.14416 | − | 1.14416i | −0.987680 | − | 0.156484i | \(-0.949984\pi\) |
−0.156484 | − | 0.987680i | \(-0.550016\pi\) | |||||||
\(620\) | −0.139013 | − | 0.240778i | −0.00558291 | − | 0.00966989i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.60617 | − | 0.698322i | 0.104498 | − | 0.0280002i | ||||
\(623\) | −12.1964 | + | 10.0069i | −0.488640 | + | 0.400916i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17.4024 | −0.696094 | ||||||||
\(626\) | 1.75366 | + | 6.54474i | 0.0700902 | + | 0.261580i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.0136756 | + | 0.0236868i | 0.000545715 | + | 0.000945206i | ||||
\(629\) | −1.24296 | + | 1.24296i | −0.0495599 | + | 0.0495599i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.2380 | + | 3.27917i | 0.487188 | + | 0.130542i | 0.494048 | − | 0.869435i | \(-0.335517\pi\) |
−0.00685968 | + | 0.999976i | \(0.502184\pi\) | |||||||
\(632\) | −9.43616 | + | 9.43616i | −0.375350 | + | 0.375350i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −21.0693 | − | 12.1644i | −0.836771 | − | 0.483110i | ||||
\(635\) | −9.17583 | + | 2.45866i | −0.364132 | + | 0.0975688i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 18.7175 | + | 16.9309i | 0.741614 | + | 0.670827i | ||||
\(638\) | 4.61697 | 0.182788 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7.32156 | + | 4.22710i | 0.289410 | + | 0.167091i | ||||
\(641\) | −24.0436 | + | 13.8816i | −0.949666 | + | 0.548290i | −0.892977 | − | 0.450102i | \(-0.851388\pi\) |
−0.0566885 | + | 0.998392i | \(0.518054\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −17.1125 | − | 4.58528i | −0.674851 | − | 0.180826i | −0.0949121 | − | 0.995486i | \(-0.530257\pi\) |
−0.579939 | + | 0.814660i | \(0.696924\pi\) | |||||||
\(644\) | 0.668454 | − | 0.302774i | 0.0263408 | − | 0.0119310i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.2572 | − | 17.7660i | −0.403565 | − | 0.698995i | ||||
\(647\) | 3.33450 | − | 5.77553i | 0.131093 | − | 0.227059i | −0.793005 | − | 0.609215i | \(-0.791485\pi\) |
0.924098 | + | 0.382155i | \(0.124818\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −25.2495 | −0.991131 | ||||||||
\(650\) | −22.3678 | + | 5.63217i | −0.877337 | + | 0.220912i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.532748 | − | 0.142749i | 0.0208640 | − | 0.00559050i | ||||
\(653\) | 0.491840 | − | 0.851891i | 0.0192472 | − | 0.0333371i | −0.856241 | − | 0.516576i | \(-0.827206\pi\) |
0.875489 | + | 0.483239i | \(0.160540\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.56718 | − | 3.56718i | −0.139381 | − | 0.139381i | ||||
\(656\) | −32.2310 | − | 8.63627i | −1.25841 | − | 0.337190i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 22.6665 | + | 2.23527i | 0.883632 | + | 0.0871398i | ||||
\(659\) | 10.5833 | + | 18.3308i | 0.412267 | + | 0.714067i | 0.995137 | − | 0.0984983i | \(-0.0314039\pi\) |
−0.582871 | + | 0.812565i | \(0.698071\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.8983 | − | 4.52790i | 0.657270 | − | 0.176115i | 0.0852561 | − | 0.996359i | \(-0.472829\pi\) |
0.572013 | + | 0.820244i | \(0.306163\pi\) | |||||||
\(662\) | 24.8246i | 0.964835i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 9.58557i | − | 0.371992i | ||||||
\(665\) | −6.08477 | + | 8.48908i | −0.235957 | + | 0.329193i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.31516 | − | 1.91401i | 0.128364 | − | 0.0741107i | ||||
\(668\) | −0.460116 | + | 0.460116i | −0.0178024 | + | 0.0178024i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.24377 | + | 4.64181i | −0.0480510 | + | 0.179329i | ||||
\(671\) | −57.3897 | − | 57.3897i | −2.21551 | − | 2.21551i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21.4934 | + | 12.4092i | 0.828511 | + | 0.478341i | 0.853343 | − | 0.521351i | \(-0.174572\pi\) |
−0.0248316 | + | 0.999692i | \(0.507905\pi\) | |||||||
\(674\) | −4.05498 | − | 15.1334i | −0.156192 | − | 0.582917i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.498927 | + | 0.268267i | −0.0191895 | + | 0.0103180i | ||||
\(677\) | − | 18.0191i | − | 0.692531i | −0.938137 | − | 0.346266i | \(-0.887450\pi\) | ||
0.938137 | − | 0.346266i | \(-0.112550\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 42.5239 | − | 7.01536i | 1.63192 | − | 0.269225i | ||||
\(680\) | 4.62135 | − | 2.66814i | 0.177221 | − | 0.102318i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 65.3061 | + | 17.4987i | 2.50070 | + | 0.670060i | ||||
\(683\) | 31.7978 | + | 8.52018i | 1.21671 | + | 0.326016i | 0.809390 | − | 0.587271i | \(-0.199798\pi\) |
0.407317 | + | 0.913287i | \(0.366464\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.642945 | + | 0.371205i | −0.0245657 | + | 0.0141830i | ||||
\(686\) | −0.876001 | + | 26.4609i | −0.0334459 | + | 1.01028i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 19.3567i | 0.737968i | ||||||||
\(689\) | 0.0153875 | − | 1.01701i | 0.000586218 | − | 0.0387451i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.58957 | + | 17.1285i | 0.174595 | + | 0.651599i | 0.996620 | + | 0.0821472i | \(0.0261778\pi\) |
−0.822025 | + | 0.569452i | \(0.807156\pi\) | |||||||
\(692\) | −0.476275 | − | 0.274977i | −0.0181053 | − | 0.0104531i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.12145 | + | 2.12145i | 0.0805291 | + | 0.0805291i | ||||
\(695\) | 2.93771 | − | 10.9637i | 0.111434 | − | 0.415876i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −15.2107 | + | 15.2107i | −0.576145 | + | 0.576145i | ||||
\(698\) | −5.55437 | + | 3.20682i | −0.210236 | + | 0.121380i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.419337 | − | 0.300570i | −0.0158494 | − | 0.0113605i | ||||
\(701\) | 41.2421i | 1.55769i | 0.627214 | + | 0.778847i | \(0.284195\pi\) | ||||
−0.627214 | + | 0.778847i | \(0.715805\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 3.63691i | − | 0.137169i | ||||||
\(704\) | −40.5550 | + | 10.8667i | −1.52848 | + | 0.409554i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −9.96545 | − | 17.2607i | −0.375054 | − | 0.649613i | ||||
\(707\) | 4.36040 | − | 44.2162i | 0.163990 | − | 1.66292i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −23.1654 | − | 6.20716i | −0.869996 | − | 0.233115i | −0.203910 | − | 0.978990i | \(-0.565365\pi\) |
−0.666086 | + | 0.745875i | \(0.732032\pi\) | |||||||
\(710\) | −11.6348 | − | 11.6348i | −0.436647 | − | 0.436647i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.33842 | + | 14.4426i | −0.312495 | + | 0.541258i | ||||
\(713\) | 54.1465 | − | 14.5085i | 2.02780 | − | 0.543348i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.19697 | + | 12.0411i | −0.269151 | + | 0.450311i | ||||
\(716\) | 0.475751 | 0.0177796 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −14.7357 | + | 25.5229i | −0.549930 | + | 0.952507i | ||||
\(719\) | 10.7383 | + | 18.5992i | 0.400469 | + | 0.693633i | 0.993783 | − | 0.111338i | \(-0.0355137\pi\) |
−0.593313 | + | 0.804972i | \(0.702180\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.31957 | + | 1.05064i | −0.0863851 | + | 0.0391278i | ||||
\(722\) | 14.7625 | + | 3.95561i | 0.549404 | + | 0.147212i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.224198 | + | 0.129441i | −0.00833226 | + | 0.00481063i | ||||
\(725\) | −2.33079 | − | 1.34568i | −0.0865633 | − | 0.0499774i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.2550 | −0.602863 | −0.301431 | − | 0.953488i | \(-0.597464\pi\) | ||||
−0.301431 | + | 0.953488i | \(0.597464\pi\) | |||||||
\(728\) | 24.8234 | + | 9.77761i | 0.920015 | + | 0.362382i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.30549 | + | 1.15365i | −0.159353 | + | 0.0426986i | ||||
\(731\) | 10.8068 | + | 6.23928i | 0.399702 | + | 0.230768i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 37.7313 | − | 37.7313i | 1.39364 | − | 1.39364i | 0.576637 | − | 0.817001i | \(-0.304365\pi\) |
0.817001 | − | 0.576637i | \(-0.195635\pi\) | |||||||
\(734\) | 9.77547 | + | 2.61933i | 0.360819 | + | 0.0966812i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.10925 | − | 1.10925i | 0.0408874 | − | 0.0408874i | ||||
\(737\) | −12.4591 | − | 21.5797i | −0.458935 | − | 0.794899i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.5735 | − | 43.1929i | −0.425738 | − | 1.58888i | −0.762305 | − | 0.647218i | \(-0.775932\pi\) |
0.336567 | − | 0.941660i | \(-0.390734\pi\) | |||||||
\(740\) | −0.0210711 | −0.000774587 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.824856 | − | 0.676772i | 0.0302814 | − | 0.0248451i | ||||
\(743\) | 43.8408 | − | 11.7471i | 1.60836 | − | 0.430959i | 0.660808 | − | 0.750555i | \(-0.270214\pi\) |
0.947554 | + | 0.319596i | \(0.103547\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.27758 | − | 7.40899i | −0.156718 | − | 0.271444i | ||||
\(746\) | −17.4241 | − | 17.4241i | −0.637941 | − | 0.637941i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.159508 | − | 0.595290i | 0.00583217 | − | 0.0217660i | ||||
\(749\) | −3.09870 | + | 31.4221i | −0.113224 | + | 1.14814i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 27.9904 | + | 16.1603i | 1.02138 | + | 0.589696i | 0.914505 | − | 0.404575i | \(-0.132581\pi\) |
0.106880 | + | 0.994272i | \(0.465914\pi\) | |||||||
\(752\) | 23.7632 | − | 6.36732i | 0.866554 | − | 0.232192i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.98170 | − | 0.847494i | −0.108587 | − | 0.0308639i | ||||
\(755\) | − | 8.70994i | − | 0.316987i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.5363 | + | 25.1776i | −0.528331 | + | 0.915097i | 0.471123 | + | 0.882068i | \(0.343849\pi\) |
−0.999454 | + | 0.0330294i | \(0.989484\pi\) | |||||||
\(758\) | 5.60015 | − | 3.23325i | 0.203407 | − | 0.117437i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.85756 | + | 10.6646i | −0.103655 | + | 0.386845i | ||||
\(761\) | 7.58218 | − | 28.2971i | 0.274854 | − | 1.02577i | −0.681086 | − | 0.732204i | \(-0.738492\pi\) |
0.955939 | − | 0.293564i | \(-0.0948414\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.9841 | − | 4.51219i | −0.433855 | − | 0.163352i | ||||
\(764\) | 0.0607685 | + | 0.0350847i | 0.00219853 | + | 0.00126932i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −40.9907 | −1.48105 | ||||||||
\(767\) | 16.3065 | + | 4.63482i | 0.588793 | + | 0.167354i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −13.2029 | − | 49.2739i | −0.476109 | − | 1.77686i | −0.617136 | − | 0.786857i | \(-0.711707\pi\) |
0.141027 | − | 0.990006i | \(-0.454960\pi\) | |||||||
\(770\) | −14.5190 | + | 2.39526i | −0.523228 | + | 0.0863193i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.757877 | − | 0.757877i | −0.0272766 | − | 0.0272766i | ||||
\(773\) | −7.92985 | − | 2.12480i | −0.285217 | − | 0.0764236i | 0.113374 | − | 0.993552i | \(-0.463834\pi\) |
−0.398591 | + | 0.917129i | \(0.630501\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −27.8683 | − | 27.8683i | −1.00106 | − | 1.00106i | ||||
\(776\) | 39.4552 | − | 22.7795i | 1.41636 | − | 0.817735i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.38565 | − | 8.90337i | −0.0855298 | − | 0.319201i | ||||
\(779\) | − | 44.5066i | − | 1.59461i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 85.3190 | 3.05295 | ||||||||
\(782\) | −6.20226 | − | 23.1471i | −0.221792 | − | 0.827740i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.18548 | + | 27.0814i | 0.328053 | + | 0.967193i | ||||
\(785\) | −0.321552 | − | 0.321552i | −0.0114767 | − | 0.0114767i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.450270 | − | 1.68043i | 0.0160504 | − | 0.0599009i | −0.957436 | − | 0.288645i | \(-0.906795\pi\) |
0.973487 | + | 0.228744i | \(0.0734619\pi\) | |||||||
\(788\) | 0.152210 | − | 0.152210i | 0.00542225 | − | 0.00542225i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.47085 | + | 4.27963i | −0.0879088 | + | 0.152262i | ||||
\(791\) | 29.1785 | + | 20.9144i | 1.03747 | + | 0.743632i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 26.5285 | + | 47.5975i | 0.942056 | + | 1.69024i | ||||
\(794\) | − | 42.5614i | − | 1.51045i | ||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.174244 | − | 0.100600i | −0.00617592 | − | 0.00356567i | ||||
\(797\) | 0.464274 | + | 0.804146i | 0.0164454 | + | 0.0284843i | 0.874131 | − | 0.485690i | \(-0.161432\pi\) |
−0.857686 | + | 0.514175i | \(0.828098\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.10478 | − | 15.3192i | 0.145217 | − | 0.541956i | ||||
\(800\) | −1.06533 | − | 0.285455i | −0.0376652 | − | 0.0100924i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 16.2822 | + | 28.2016i | 0.574944 | + | 0.995832i | ||||
\(803\) | 11.5563 | − | 20.0162i | 0.407814 | − | 0.706355i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −9.43220 | + | 7.73887i | −0.332442 | + | 0.272759i | ||||
\(806\) | −38.9634 | − | 23.2885i | −1.37243 | − | 0.820303i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −12.1560 | − | 45.3666i | −0.427645 | − | 1.59599i | ||||
\(809\) | 27.3761 | − | 47.4168i | 0.962492 | − | 1.66709i | 0.246286 | − | 0.969197i | \(-0.420790\pi\) |
0.716207 | − | 0.697888i | \(-0.245877\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 15.2089 | − | 15.2089i | 0.534055 | − | 0.534055i | −0.387721 | − | 0.921777i | \(-0.626738\pi\) |
0.921777 | + | 0.387721i | \(0.126738\pi\) | |||||||
\(812\) | −0.0286074 | − | 0.0631586i | −0.00100392 | − | 0.00221643i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.62322 | − | 3.62322i | 0.126994 | − | 0.126994i | ||||
\(815\) | −7.94143 | + | 4.58499i | −0.278176 | + | 0.160605i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −24.9385 | + | 6.68224i | −0.872487 | + | 0.233782i | ||||
\(818\) | −3.49748 | −0.122287 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.257857 | −0.00900474 | ||||||||
\(821\) | 25.5931 | − | 6.85765i | 0.893206 | − | 0.239334i | 0.217110 | − | 0.976147i | \(-0.430337\pi\) |
0.676096 | + | 0.736814i | \(0.263670\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 34.5953 | − | 19.9736i | 1.20592 | − | 0.696237i | 0.244053 | − | 0.969762i | \(-0.421523\pi\) |
0.961865 | + | 0.273525i | \(0.0881897\pi\) | |||||||
\(824\) | −1.90337 | + | 1.90337i | −0.0663071 | + | 0.0663071i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 7.33715 | + | 16.1987i | 0.255292 | + | 0.563626i | ||||
\(827\) | 16.8364 | − | 16.8364i | 0.585458 | − | 0.585458i | −0.350940 | − | 0.936398i | \(-0.614138\pi\) |
0.936398 | + | 0.350940i | \(0.114138\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.41086 | − | 2.44368i | 0.0490011 | − | 0.0848724i | −0.840485 | − | 0.541836i | \(-0.817730\pi\) |
0.889486 | + | 0.456963i | \(0.151063\pi\) | |||||||
\(830\) | −0.918712 | − | 3.42868i | −0.0318890 | − | 0.119011i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 28.1856 | + | 0.426452i | 0.977162 | + | 0.0147846i | ||||
\(833\) | 18.0802 | + | 3.60099i | 0.626441 | + | 0.124767i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.40932 | − | 9.36922i | 0.187197 | − | 0.324235i | ||||
\(836\) | 0.637553 | + | 1.10427i | 0.0220502 | + | 0.0381921i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −26.9703 | − | 7.22666i | −0.931672 | − | 0.249641i | ||||
\(839\) | 3.56318 | − | 13.2980i | 0.123015 | − | 0.459097i | −0.876746 | − | 0.480953i | \(-0.840291\pi\) |
0.999761 | + | 0.0218557i | \(0.00695742\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.3192 | + | 24.8015i | 0.493764 | + | 0.855224i | ||||
\(842\) | 26.0101 | + | 15.0169i | 0.896367 | + | 0.517517i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.295511i | 0.0101719i | ||||||||
\(845\) | 6.85816 | − | 6.45520i | 0.235928 | − | 0.222066i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 27.4972 | − | 38.3624i | 0.944815 | − | 1.31815i | ||||
\(848\) | 0.576227 | − | 0.998054i | 0.0197877 | − | 0.0342733i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −11.9134 | + | 11.9134i | −0.408628 | + | 0.408628i | ||||
\(851\) | 1.09957 | − | 4.10365i | 0.0376927 | − | 0.140671i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 23.8704 | + | 23.8704i | 0.817307 | + | 0.817307i | 0.985717 | − | 0.168410i | \(-0.0538632\pi\) |
−0.168410 | + | 0.985717i | \(0.553863\pi\) | |||||||
\(854\) | −20.1415 | + | 53.4947i | −0.689227 | + | 1.83055i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 8.63859 | + | 32.2396i | 0.295261 | + | 1.10193i | ||||
\(857\) | 10.9745 | 0.374882 | 0.187441 | − | 0.982276i | \(-0.439981\pi\) | ||||
0.187441 | + | 0.982276i | \(0.439981\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 29.4072i | − | 1.00336i | −0.865053 | − | 0.501681i | \(-0.832715\pi\) | ||
0.865053 | − | 0.501681i | \(-0.167285\pi\) | |||||||
\(860\) | 0.0387147 | + | 0.144485i | 0.00132016 | + | 0.00492691i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −17.7795 | + | 10.2650i | −0.605572 | + | 0.349627i | ||||
\(863\) | 16.1604 | + | 16.1604i | 0.550105 | + | 0.550105i | 0.926471 | − | 0.376366i | \(-0.122827\pi\) |
−0.376366 | + | 0.926471i | \(0.622827\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.83204 | + | 2.36654i | 0.300298 | + | 0.0804647i | ||||
\(866\) | 36.8152 | + | 36.8152i | 1.25103 | + | 1.25103i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.165270 | − | 1.00179i | −0.00560962 | − | 0.0340029i | ||||
\(869\) | −6.63198 | − | 24.7509i | −0.224974 | − | 0.839616i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.08503 | + | 16.2234i | 0.138416 | + | 0.549710i | ||||
\(872\) | −13.5364 | −0.458402 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 42.9384 | + | 24.7905i | 1.45241 | + | 0.838550i | ||||
\(875\) | 16.9971 | + | 6.39963i | 0.574606 | + | 0.216347i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.5333 | + | 39.3110i | −0.355686 | + | 1.32744i | 0.523934 | + | 0.851759i | \(0.324464\pi\) |
−0.879620 | + | 0.475678i | \(0.842203\pi\) | |||||||
\(878\) | −11.8494 | + | 44.2224i | −0.399896 | + | 1.49243i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −13.7649 | + | 7.94716i | −0.464014 | + | 0.267899i | ||||
\(881\) | 11.2270 | − | 19.4458i | 0.378248 | − | 0.655145i | −0.612559 | − | 0.790425i | \(-0.709860\pi\) |
0.990807 | + | 0.135280i | \(0.0431933\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.128296i | 0.00431752i | 0.999998 | + | 0.00215876i | \(0.000687155\pi\) | ||||
−0.999998 | + | 0.00215876i | \(0.999313\pi\) | |||||||
\(884\) | −0.212284 | + | 0.355167i | −0.00713987 | + | 0.0119456i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.5374 | + | 4.96708i | −0.622776 | + | 0.166872i | ||||
\(887\) | −7.73247 | − | 4.46434i | −0.259631 | − | 0.149898i | 0.364535 | − | 0.931190i | \(-0.381228\pi\) |
−0.624166 | + | 0.781292i | \(0.714561\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −34.5240 | − | 3.40459i | −1.15790 | − | 0.114186i | ||||
\(890\) | −1.59836 | + | 5.96517i | −0.0535772 | + | 0.199953i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.596022 | + | 0.596022i | 0.0199563 | + | 0.0199563i | ||||
\(893\) | 16.4068 | + | 28.4175i | 0.549034 | + | 0.950954i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.64035 | + | 2.04722i | −0.255389 | + | 0.0684312i | ||||
\(896\) | 19.5834 | + | 23.8684i | 0.654234 | + | 0.797386i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −27.5104 | −0.918035 | ||||||||
\(899\) | −1.37083 | − | 5.11600i | −0.0457197 | − | 0.170628i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.371472 | − | 0.643409i | −0.0123755 | − | 0.0214350i | ||||
\(902\) | 44.3391 | − | 44.3391i | 1.47633 | − | 1.47633i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 36.6561 | + | 9.82196i | 1.21916 | + | 0.326674i | ||||
\(905\) | 3.04352 | − | 3.04352i | 0.101170 | − | 0.101170i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −29.2036 | − | 16.8607i | −0.969690 | − | 0.559851i | −0.0705480 | − | 0.997508i | \(-0.522475\pi\) |
−0.899142 | + | 0.437658i | \(0.855808\pi\) | |||||||
\(908\) | −0.503969 | + | 0.135038i | −0.0167248 | + | 0.00448139i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9.81623 | + | 1.11822i | 0.325405 | + | 0.0370687i | ||||
\(911\) | −12.1553 | −0.402724 | −0.201362 | − | 0.979517i | \(-0.564537\pi\) | ||||
−0.201362 | + | 0.979517i | \(0.564537\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 15.9399 | + | 9.20289i | 0.527533 | + | 0.304571i | ||||
\(914\) | 31.4059 | − | 18.1322i | 1.03882 | − | 0.599760i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.0449731 | − | 0.0120505i | −0.00148595 | − | 0.000398160i | ||||
\(917\) | −7.60125 | − | 16.7818i | −0.251015 | − | 0.554184i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.1965 | + | 47.1057i | 0.897129 | + | 1.55387i | 0.831148 | + | 0.556052i | \(0.187684\pi\) |
0.0659808 | + | 0.997821i | \(0.478982\pi\) | |||||||
\(920\) | −6.44857 | + | 11.1693i | −0.212603 | + | 0.368239i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 34.3355 | 1.13078 | ||||||||
\(923\) | −55.1001 | − | 15.6612i | −1.81364 | − | 0.515494i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.88515 | + | 0.773073i | −0.0948631 | + | 0.0254185i | ||||
\(926\) | 1.98617 | − | 3.44016i | 0.0652698 | − | 0.113051i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.104807 | − | 0.104807i | −0.00344045 | − | 0.00344045i | ||||
\(929\) | −11.3587 | − | 3.04356i | −0.372667 | − | 0.0998559i | 0.0676240 | − | 0.997711i | \(-0.478458\pi\) |
−0.440291 | + | 0.897855i | \(0.645125\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −31.7197 | + | 21.1831i | −1.03957 | + | 0.694249i | ||||
\(932\) | 0.354308 | + | 0.613679i | 0.0116057 | + | 0.0201017i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.46019 | + | 0.391257i | −0.0477789 | + | 0.0128023i | ||||
\(935\) | 10.2465i | 0.335096i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 23.7187i | − | 0.774857i | −0.921900 | − | 0.387428i | \(-0.873363\pi\) | ||
0.921900 | − | 0.387428i | \(-0.126637\pi\) | |||||||
\(938\) | −10.2239 | + | 14.2638i | −0.333823 | + | 0.465729i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.164641 | − | 0.0950558i | 0.00537001 | − | 0.00310038i | ||||
\(941\) | 8.77975 | − | 8.77975i | 0.286212 | − | 0.286212i | −0.549368 | − | 0.835580i | \(-0.685132\pi\) |
0.835580 | + | 0.549368i | \(0.185132\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 13.4559 | − | 50.2183i | 0.438186 | − | 1.63533i | ||||
\(944\) | 13.5820 | + | 13.5820i | 0.442055 | + | 0.442055i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −31.5017 | − | 18.1875i | −1.02421 | − | 0.591327i | ||||
\(947\) | 3.45357 | + | 12.8889i | 0.112226 | + | 0.418833i | 0.999064 | − | 0.0432464i | \(-0.0137701\pi\) |
−0.886838 | + | 0.462080i | \(0.847103\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.1374 | + | 10.8054i | −0.361535 | + | 0.350758i | ||||
\(950\) | − | 34.8589i | − | 1.13097i | ||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 19.2277 | − | 3.17209i | 0.623175 | − | 0.102808i | ||||
\(953\) | −2.94104 | + | 1.69801i | −0.0952697 | + | 0.0550040i | −0.546878 | − | 0.837212i | \(-0.684184\pi\) |
0.451608 | + | 0.892216i | \(0.350850\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.12689 | − | 0.301949i | −0.0364653 | − | 0.00977085i | ||||
\(956\) | −0.903553 | − | 0.242106i | −0.0292230 | − | 0.00783028i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 6.24537 | − | 3.60577i | 0.201779 | − | 0.116497i | ||||
\(959\) | −2.67506 | + | 0.441316i | −0.0863821 | + | 0.0142508i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 46.5603i | − | 1.50195i | ||||||
\(962\) | −3.00500 | + | 1.67484i | −0.0968851 | + | 0.0539991i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.144396 | + | 0.538894i | 0.00465069 | + | 0.0173566i | ||||
\(965\) | 15.4324 | + | 8.90992i | 0.496788 | + | 0.286820i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.6551 | − | 32.6551i | −1.05012 | − | 1.05012i | −0.998676 | − | 0.0514398i | \(-0.983619\pi\) |
−0.0514398 | − | 0.998676i | \(-0.516381\pi\) | |||||||
\(968\) | 12.9134 | − | 48.1935i | 0.415052 | − | 1.54900i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 11.9295 | − | 11.9295i | 0.383034 | − | 0.383034i | ||||
\(971\) | 8.75213 | − | 5.05305i | 0.280869 | − | 0.162160i | −0.352948 | − | 0.935643i | \(-0.614821\pi\) |
0.633817 | + | 0.773483i | \(0.281487\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 24.1483 | − | 33.6902i | 0.774159 | − | 1.08006i | ||||
\(974\) | − | 4.00629i | − | 0.128370i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 61.7409i | 1.97628i | ||||||||
\(977\) | −57.0790 | + | 15.2943i | −1.82612 | + | 0.489307i | −0.997510 | − | 0.0705222i | \(-0.977533\pi\) |
−0.828608 | + | 0.559829i | \(0.810867\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.0111 | − | 27.7320i | −0.511716 | − | 0.886317i | ||||
\(980\) | 0.122728 | + | 0.183773i | 0.00392041 | + | 0.00587042i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.1845 | + | 4.60458i | 0.548380 | + | 0.146938i | ||||
\(983\) | −32.3474 | − | 32.3474i | −1.03172 | − | 1.03172i | −0.999480 | − | 0.0322405i | \(-0.989736\pi\) |
−0.0322405 | − | 0.999480i | \(-0.510264\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.78944 | + | 3.09940i | −0.0570164 | + | 0.0987552i | ||||
\(986\) | −2.18705 | + | 0.586018i | −0.0696498 | + | 0.0186626i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.209039 | − | 0.830184i | −0.00665041 | − | 0.0264117i | ||||
\(989\) | −30.1592 | −0.959007 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.26677 | + | 2.19411i | −0.0402402 | + | 0.0696981i | −0.885444 | − | 0.464746i | \(-0.846146\pi\) |
0.845204 | + | 0.534444i | \(0.179479\pi\) | |||||||
\(992\) | −1.08524 | − | 1.87969i | −0.0344565 | − | 0.0596803i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −24.7924 | − | 54.7360i | −0.786368 | − | 1.73612i | ||||
\(995\) | 3.23118 | + | 0.865793i | 0.102435 | + | 0.0274475i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.4694 | + | 6.04452i | −0.331570 | + | 0.191432i | −0.656538 | − | 0.754293i | \(-0.727980\pi\) |
0.324968 | + | 0.945725i | \(0.394646\pi\) | |||||||
\(998\) | −10.9250 | − | 6.30755i | −0.345825 | − | 0.199662i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.fm.e.748.6 | 32 | ||
3.2 | odd | 2 | 273.2.by.d.202.3 | yes | 32 | ||
7.6 | odd | 2 | 819.2.fm.f.748.6 | 32 | |||
13.2 | odd | 12 | 819.2.fm.f.496.6 | 32 | |||
21.20 | even | 2 | 273.2.by.c.202.3 | ✓ | 32 | ||
39.2 | even | 12 | 273.2.by.c.223.3 | yes | 32 | ||
91.41 | even | 12 | inner | 819.2.fm.e.496.6 | 32 | ||
273.41 | odd | 12 | 273.2.by.d.223.3 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.202.3 | ✓ | 32 | 21.20 | even | 2 | ||
273.2.by.c.223.3 | yes | 32 | 39.2 | even | 12 | ||
273.2.by.d.202.3 | yes | 32 | 3.2 | odd | 2 | ||
273.2.by.d.223.3 | yes | 32 | 273.41 | odd | 12 | ||
819.2.fm.e.496.6 | 32 | 91.41 | even | 12 | inner | ||
819.2.fm.e.748.6 | 32 | 1.1 | even | 1 | trivial | ||
819.2.fm.f.496.6 | 32 | 13.2 | odd | 12 | |||
819.2.fm.f.748.6 | 32 | 7.6 | odd | 2 |