Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(196,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.196");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.i (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(26\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 196.2 | ||
Character | \(\chi\) | \(=\) | 585.196 |
Dual form | 585.2.i.g.391.2 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20515 | + | 2.08737i | −0.852167 | + | 1.47600i | 0.0270822 | + | 0.999633i | \(0.491378\pi\) |
−0.879249 | + | 0.476363i | \(0.841955\pi\) | |||||||
\(3\) | 1.64592 | − | 0.539392i | 0.950273 | − | 0.311418i | ||||
\(4\) | −1.90475 | − | 3.29913i | −0.952376 | − | 1.64956i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | −0.857662 | + | 4.08570i | −0.350139 | + | 1.66798i | ||||
\(7\) | −0.497502 | + | 0.861700i | −0.188038 | + | 0.325692i | −0.944596 | − | 0.328235i | \(-0.893546\pi\) |
0.756558 | + | 0.653927i | \(0.226880\pi\) | |||||||
\(8\) | 4.36143 | 1.54200 | ||||||||
\(9\) | 2.41811 | − | 1.77559i | 0.806037 | − | 0.591865i | ||||
\(10\) | 2.41029 | 0.762201 | ||||||||
\(11\) | −2.77651 | + | 4.80905i | −0.837149 | + | 1.44998i | 0.0551200 | + | 0.998480i | \(0.482446\pi\) |
−0.892269 | + | 0.451505i | \(0.850887\pi\) | |||||||
\(12\) | −4.91459 | − | 4.40270i | −1.41872 | − | 1.27095i | ||||
\(13\) | 0.500000 | + | 0.866025i | 0.138675 | + | 0.240192i | ||||
\(14\) | −1.19913 | − | 2.07695i | −0.320480 | − | 0.555087i | ||||
\(15\) | −1.29009 | − | 1.15571i | −0.333099 | − | 0.298404i | ||||
\(16\) | −1.44666 | + | 2.50568i | −0.361664 | + | 0.626421i | ||||
\(17\) | 5.33677 | 1.29436 | 0.647179 | − | 0.762338i | \(-0.275949\pi\) | ||||
0.647179 | + | 0.762338i | \(0.275949\pi\) | |||||||
\(18\) | 0.792149 | + | 7.18735i | 0.186711 | + | 1.69408i | ||||
\(19\) | 4.35370 | 0.998807 | 0.499403 | − | 0.866370i | \(-0.333553\pi\) | ||||
0.499403 | + | 0.866370i | \(0.333553\pi\) | |||||||
\(20\) | −1.90475 | + | 3.29913i | −0.425916 | + | 0.737707i | ||||
\(21\) | −0.354056 | + | 1.68664i | −0.0772613 | + | 0.368055i | ||||
\(22\) | −6.69219 | − | 11.5912i | −1.42678 | − | 2.47126i | ||||
\(23\) | 2.82607 | + | 4.89489i | 0.589276 | + | 1.02066i | 0.994327 | + | 0.106362i | \(0.0339203\pi\) |
−0.405051 | + | 0.914294i | \(0.632746\pi\) | |||||||
\(24\) | 7.17857 | − | 2.35252i | 1.46532 | − | 0.480206i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −2.41029 | −0.472697 | ||||||||
\(27\) | 3.02228 | − | 4.22680i | 0.581638 | − | 0.813448i | ||||
\(28\) | 3.79048 | 0.716333 | ||||||||
\(29\) | −3.44182 | + | 5.96140i | −0.639130 | + | 1.10700i | 0.346495 | + | 0.938052i | \(0.387372\pi\) |
−0.985624 | + | 0.168953i | \(0.945961\pi\) | |||||||
\(30\) | 3.96715 | − | 1.30009i | 0.724299 | − | 0.237363i | ||||
\(31\) | 1.67161 | + | 2.89531i | 0.300230 | + | 0.520014i | 0.976188 | − | 0.216927i | \(-0.0696033\pi\) |
−0.675958 | + | 0.736940i | \(0.736270\pi\) | |||||||
\(32\) | 0.874568 | + | 1.51480i | 0.154603 | + | 0.267781i | ||||
\(33\) | −1.97595 | + | 9.41295i | −0.343968 | + | 1.63858i | ||||
\(34\) | −6.43159 | + | 11.1398i | −1.10301 | + | 1.91047i | ||||
\(35\) | 0.995005 | 0.168187 | ||||||||
\(36\) | −10.4638 | − | 4.59560i | −1.74397 | − | 0.765933i | ||||
\(37\) | −3.77345 | −0.620351 | −0.310176 | − | 0.950679i | \(-0.600388\pi\) | ||||
−0.310176 | + | 0.950679i | \(0.600388\pi\) | |||||||
\(38\) | −5.24684 | + | 9.08779i | −0.851150 | + | 1.47423i | ||||
\(39\) | 1.29009 | + | 1.15571i | 0.206579 | + | 0.185062i | ||||
\(40\) | −2.18072 | − | 3.77711i | −0.344801 | − | 0.597214i | ||||
\(41\) | 5.36985 | + | 9.30086i | 0.838630 | + | 1.45255i | 0.891040 | + | 0.453924i | \(0.149976\pi\) |
−0.0524104 | + | 0.998626i | \(0.516690\pi\) | |||||||
\(42\) | −3.09396 | − | 2.77169i | −0.477408 | − | 0.427681i | ||||
\(43\) | 5.80032 | − | 10.0464i | 0.884540 | − | 1.53207i | 0.0382999 | − | 0.999266i | \(-0.487806\pi\) |
0.846240 | − | 0.532802i | \(-0.178861\pi\) | |||||||
\(44\) | 21.1542 | 3.18912 | ||||||||
\(45\) | −2.74677 | − | 1.20635i | −0.409464 | − | 0.179832i | ||||
\(46\) | −13.6233 | −2.00865 | ||||||||
\(47\) | −0.320387 | + | 0.554927i | −0.0467333 | + | 0.0809444i | −0.888446 | − | 0.458981i | \(-0.848214\pi\) |
0.841713 | + | 0.539926i | \(0.181548\pi\) | |||||||
\(48\) | −1.02954 | + | 4.90447i | −0.148601 | + | 0.707899i | ||||
\(49\) | 3.00498 | + | 5.20478i | 0.429283 | + | 0.743540i | ||||
\(50\) | −1.20515 | − | 2.08737i | −0.170433 | − | 0.295199i | ||||
\(51\) | 8.78391 | − | 2.87861i | 1.22999 | − | 0.403086i | ||||
\(52\) | 1.90475 | − | 3.29913i | 0.264142 | − | 0.457507i | ||||
\(53\) | −0.0369803 | −0.00507964 | −0.00253982 | − | 0.999997i | \(-0.500808\pi\) | ||||
−0.00253982 | + | 0.999997i | \(0.500808\pi\) | |||||||
\(54\) | 5.18062 | + | 11.4025i | 0.704993 | + | 1.55169i | ||||
\(55\) | 5.55302 | 0.748769 | ||||||||
\(56\) | −2.16982 | + | 3.75824i | −0.289955 | + | 0.502216i | ||||
\(57\) | 7.16584 | − | 2.34835i | 0.949139 | − | 0.311047i | ||||
\(58\) | −8.29578 | − | 14.3687i | −1.08929 | − | 1.88671i | ||||
\(59\) | −6.89721 | − | 11.9463i | −0.897941 | − | 1.55528i | −0.830122 | − | 0.557582i | \(-0.811729\pi\) |
−0.0678188 | − | 0.997698i | \(-0.521604\pi\) | |||||||
\(60\) | −1.35555 | + | 6.45751i | −0.175001 | + | 0.833661i | ||||
\(61\) | −1.48053 | + | 2.56435i | −0.189562 | + | 0.328331i | −0.945104 | − | 0.326769i | \(-0.894040\pi\) |
0.755542 | + | 0.655100i | \(0.227373\pi\) | |||||||
\(62\) | −8.05813 | −1.02338 | ||||||||
\(63\) | 0.327011 | + | 2.96705i | 0.0411995 | + | 0.373813i | ||||
\(64\) | −10.0026 | −1.25032 | ||||||||
\(65\) | 0.500000 | − | 0.866025i | 0.0620174 | − | 0.107417i | ||||
\(66\) | −17.2670 | − | 15.4685i | −2.12543 | − | 1.90404i | ||||
\(67\) | −4.83990 | − | 8.38295i | −0.591288 | − | 1.02414i | −0.994059 | − | 0.108840i | \(-0.965286\pi\) |
0.402771 | − | 0.915301i | \(-0.368047\pi\) | |||||||
\(68\) | −10.1652 | − | 17.6067i | −1.23272 | − | 2.13513i | ||||
\(69\) | 7.29175 | + | 6.53225i | 0.877824 | + | 0.786391i | ||||
\(70\) | −1.19913 | + | 2.07695i | −0.143323 | + | 0.248243i | ||||
\(71\) | 3.39534 | 0.402953 | 0.201476 | − | 0.979493i | \(-0.435426\pi\) | ||||
0.201476 | + | 0.979493i | \(0.435426\pi\) | |||||||
\(72\) | 10.5464 | − | 7.74413i | 1.24291 | − | 0.912655i | ||||
\(73\) | −6.18622 | −0.724043 | −0.362021 | − | 0.932170i | \(-0.617913\pi\) | ||||
−0.362021 | + | 0.932170i | \(0.617913\pi\) | |||||||
\(74\) | 4.54755 | − | 7.87660i | 0.528642 | − | 0.915636i | ||||
\(75\) | −0.355833 | + | 1.69511i | −0.0410881 | + | 0.195734i | ||||
\(76\) | −8.29272 | − | 14.3634i | −0.951240 | − | 1.64760i | ||||
\(77\) | −2.76264 | − | 4.78503i | −0.314832 | − | 0.545305i | ||||
\(78\) | −3.96715 | + | 1.30009i | −0.449191 | + | 0.147206i | ||||
\(79\) | −0.938227 | + | 1.62506i | −0.105559 | + | 0.182833i | −0.913966 | − | 0.405790i | \(-0.866996\pi\) |
0.808408 | + | 0.588623i | \(0.200330\pi\) | |||||||
\(80\) | 2.89331 | 0.323482 | ||||||||
\(81\) | 2.69454 | − | 8.58717i | 0.299393 | − | 0.954130i | ||||
\(82\) | −25.8858 | −2.85861 | ||||||||
\(83\) | 5.80594 | − | 10.0562i | 0.637284 | − | 1.10381i | −0.348742 | − | 0.937219i | \(-0.613391\pi\) |
0.986026 | − | 0.166590i | \(-0.0532756\pi\) | |||||||
\(84\) | 6.23882 | − | 2.04455i | 0.680711 | − | 0.223079i | ||||
\(85\) | −2.66839 | − | 4.62178i | −0.289427 | − | 0.501303i | ||||
\(86\) | 13.9805 | + | 24.2149i | 1.50755 | + | 2.61115i | ||||
\(87\) | −2.44943 | + | 11.6685i | −0.262606 | + | 1.25099i | ||||
\(88\) | −12.1096 | + | 20.9744i | −1.29088 | + | 2.23587i | ||||
\(89\) | −3.37263 | −0.357498 | −0.178749 | − | 0.983895i | \(-0.557205\pi\) | ||||
−0.178749 | + | 0.983895i | \(0.557205\pi\) | |||||||
\(90\) | 5.82836 | − | 4.27970i | 0.614363 | − | 0.451120i | ||||
\(91\) | −0.995005 | −0.104305 | ||||||||
\(92\) | 10.7659 | − | 18.6471i | 1.12242 | − | 1.94410i | ||||
\(93\) | 4.31305 | + | 3.86380i | 0.447242 | + | 0.400658i | ||||
\(94\) | −0.772227 | − | 1.33754i | −0.0796491 | − | 0.137956i | ||||
\(95\) | −2.17685 | − | 3.77041i | −0.223340 | − | 0.386836i | ||||
\(96\) | 2.25654 | + | 2.02150i | 0.230307 | + | 0.206319i | ||||
\(97\) | −2.93628 | + | 5.08578i | −0.298134 | + | 0.516383i | −0.975709 | − | 0.219071i | \(-0.929697\pi\) |
0.677575 | + | 0.735453i | \(0.263031\pi\) | |||||||
\(98\) | −14.4858 | −1.46328 | ||||||||
\(99\) | 1.82502 | + | 16.5588i | 0.183421 | + | 1.66422i | ||||
\(100\) | 3.80950 | 0.380950 | ||||||||
\(101\) | −2.32354 | + | 4.02449i | −0.231201 | + | 0.400452i | −0.958162 | − | 0.286227i | \(-0.907599\pi\) |
0.726961 | + | 0.686679i | \(0.240932\pi\) | |||||||
\(102\) | −4.57715 | + | 21.8044i | −0.453205 | + | 2.15896i | ||||
\(103\) | −3.47600 | − | 6.02061i | −0.342500 | − | 0.593228i | 0.642396 | − | 0.766373i | \(-0.277940\pi\) |
−0.984896 | + | 0.173145i | \(0.944607\pi\) | |||||||
\(104\) | 2.18072 | + | 3.77711i | 0.213837 | + | 0.370376i | ||||
\(105\) | 1.63770 | − | 0.536698i | 0.159823 | − | 0.0523763i | ||||
\(106\) | 0.0445667 | − | 0.0771918i | 0.00432870 | − | 0.00749753i | ||||
\(107\) | −11.3106 | −1.09344 | −0.546719 | − | 0.837316i | \(-0.684123\pi\) | ||||
−0.546719 | + | 0.837316i | \(0.684123\pi\) | |||||||
\(108\) | −19.7014 | − | 1.91989i | −1.89577 | − | 0.184741i | ||||
\(109\) | 13.5121 | 1.29423 | 0.647114 | − | 0.762393i | \(-0.275976\pi\) | ||||
0.647114 | + | 0.762393i | \(0.275976\pi\) | |||||||
\(110\) | −6.69219 | + | 11.5912i | −0.638076 | + | 1.10518i | ||||
\(111\) | −6.21080 | + | 2.03537i | −0.589503 | + | 0.193189i | ||||
\(112\) | −1.43943 | − | 2.49317i | −0.136013 | − | 0.235582i | ||||
\(113\) | −3.34840 | − | 5.79961i | −0.314991 | − | 0.545581i | 0.664444 | − | 0.747338i | \(-0.268668\pi\) |
−0.979436 | + | 0.201757i | \(0.935335\pi\) | |||||||
\(114\) | −3.73400 | + | 17.7879i | −0.349721 | + | 1.66599i | ||||
\(115\) | 2.82607 | − | 4.89489i | 0.263532 | − | 0.456451i | ||||
\(116\) | 26.2232 | 2.43477 | ||||||||
\(117\) | 2.74677 | + | 1.20635i | 0.253939 | + | 0.111527i | ||||
\(118\) | 33.2486 | 3.06078 | ||||||||
\(119\) | −2.65506 | + | 4.59870i | −0.243389 | + | 0.421562i | ||||
\(120\) | −5.62663 | − | 5.04057i | −0.513639 | − | 0.460139i | ||||
\(121\) | −9.91800 | − | 17.1785i | −0.901636 | − | 1.56168i | ||||
\(122\) | −3.56850 | − | 6.18082i | −0.323077 | − | 0.559585i | ||||
\(123\) | 13.8552 | + | 12.4120i | 1.24928 | + | 1.11915i | ||||
\(124\) | 6.36800 | − | 11.0297i | 0.571864 | − | 0.990497i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −6.58743 | − | 2.89313i | −0.586855 | − | 0.257741i | ||||
\(127\) | 4.36604 | 0.387424 | 0.193712 | − | 0.981058i | \(-0.437947\pi\) | ||||
0.193712 | + | 0.981058i | \(0.437947\pi\) | |||||||
\(128\) | 10.3054 | − | 17.8495i | 0.910877 | − | 1.57769i | ||||
\(129\) | 4.12789 | − | 19.6643i | 0.363441 | − | 1.73134i | ||||
\(130\) | 1.20515 | + | 2.08737i | 0.105698 | + | 0.183075i | ||||
\(131\) | −8.54552 | − | 14.8013i | −0.746625 | − | 1.29319i | −0.949432 | − | 0.313974i | \(-0.898340\pi\) |
0.202806 | − | 0.979219i | \(-0.434994\pi\) | |||||||
\(132\) | 34.8182 | − | 11.4104i | 3.03054 | − | 0.993150i | ||||
\(133\) | −2.16598 | + | 3.75158i | −0.187814 | + | 0.325303i | ||||
\(134\) | 23.3311 | 2.01550 | ||||||||
\(135\) | −5.17165 | − | 0.503973i | −0.445105 | − | 0.0433751i | ||||
\(136\) | 23.2760 | 1.99590 | ||||||||
\(137\) | −0.652550 | + | 1.13025i | −0.0557511 | + | 0.0965638i | −0.892554 | − | 0.450940i | \(-0.851089\pi\) |
0.836803 | + | 0.547504i | \(0.184422\pi\) | |||||||
\(138\) | −22.4229 | + | 7.34830i | −1.90876 | + | 0.625529i | ||||
\(139\) | 10.9230 | + | 18.9192i | 0.926478 | + | 1.60471i | 0.789167 | + | 0.614178i | \(0.210512\pi\) |
0.137310 | + | 0.990528i | \(0.456154\pi\) | |||||||
\(140\) | −1.89524 | − | 3.28265i | −0.160177 | − | 0.277434i | ||||
\(141\) | −0.228009 | + | 1.08618i | −0.0192018 | + | 0.0914729i | ||||
\(142\) | −4.09188 | + | 7.08735i | −0.343383 | + | 0.594757i | ||||
\(143\) | −5.55302 | −0.464367 | ||||||||
\(144\) | 0.950896 | + | 8.62770i | 0.0792413 | + | 0.718975i | ||||
\(145\) | 6.88364 | 0.571655 | ||||||||
\(146\) | 7.45530 | − | 12.9130i | 0.617005 | − | 1.06868i | ||||
\(147\) | 7.75338 | + | 6.94580i | 0.639488 | + | 0.572880i | ||||
\(148\) | 7.18748 | + | 12.4491i | 0.590807 | + | 1.02331i | ||||
\(149\) | 0.597375 | + | 1.03468i | 0.0489389 | + | 0.0847646i | 0.889457 | − | 0.457019i | \(-0.151083\pi\) |
−0.840518 | + | 0.541783i | \(0.817749\pi\) | |||||||
\(150\) | −3.10949 | − | 2.78561i | −0.253889 | − | 0.227444i | ||||
\(151\) | 3.50248 | − | 6.06647i | 0.285028 | − | 0.493682i | −0.687588 | − | 0.726101i | \(-0.741331\pi\) |
0.972616 | + | 0.232418i | \(0.0746639\pi\) | |||||||
\(152\) | 18.9884 | 1.54016 | ||||||||
\(153\) | 12.9049 | − | 9.47594i | 1.04330 | − | 0.766084i | ||||
\(154\) | 13.3175 | 1.07316 | ||||||||
\(155\) | 1.67161 | − | 2.89531i | 0.134267 | − | 0.232557i | ||||
\(156\) | 1.35555 | − | 6.45751i | 0.108531 | − | 0.517015i | ||||
\(157\) | −0.0276524 | − | 0.0478954i | −0.00220690 | − | 0.00382247i | 0.864920 | − | 0.501910i | \(-0.167369\pi\) |
−0.867127 | + | 0.498088i | \(0.834036\pi\) | |||||||
\(158\) | −2.26140 | − | 3.91686i | −0.179907 | − | 0.311609i | ||||
\(159\) | −0.0608667 | + | 0.0199469i | −0.00482704 | + | 0.00158189i | ||||
\(160\) | 0.874568 | − | 1.51480i | 0.0691407 | − | 0.119755i | ||||
\(161\) | −5.62390 | −0.443226 | ||||||||
\(162\) | 14.6773 | + | 15.9733i | 1.15316 | + | 1.25498i | ||||
\(163\) | 14.6944 | 1.15095 | 0.575477 | − | 0.817818i | \(-0.304816\pi\) | ||||
0.575477 | + | 0.817818i | \(0.304816\pi\) | |||||||
\(164\) | 20.4565 | − | 35.4316i | 1.59738 | − | 2.76675i | ||||
\(165\) | 9.13983 | − | 2.99525i | 0.711535 | − | 0.233180i | ||||
\(166\) | 13.9940 | + | 24.2383i | 1.08614 | + | 1.88126i | ||||
\(167\) | 3.09149 | + | 5.35461i | 0.239226 | + | 0.414352i | 0.960493 | − | 0.278306i | \(-0.0897729\pi\) |
−0.721266 | + | 0.692658i | \(0.756440\pi\) | |||||||
\(168\) | −1.54419 | + | 7.35616i | −0.119137 | + | 0.567540i | ||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | 12.8632 | 0.986561 | ||||||||
\(171\) | 10.5277 | − | 7.73040i | 0.805076 | − | 0.591158i | ||||
\(172\) | −44.1927 | −3.36966 | ||||||||
\(173\) | 2.32274 | − | 4.02311i | 0.176595 | − | 0.305871i | −0.764117 | − | 0.645078i | \(-0.776825\pi\) |
0.940712 | + | 0.339206i | \(0.110158\pi\) | |||||||
\(174\) | −21.4046 | − | 19.1751i | −1.62268 | − | 1.45366i | ||||
\(175\) | −0.497502 | − | 0.861700i | −0.0376077 | − | 0.0651384i | ||||
\(176\) | −8.03331 | − | 13.9141i | −0.605533 | − | 1.04881i | ||||
\(177\) | −17.7960 | − | 15.9424i | −1.33763 | − | 1.19830i | ||||
\(178\) | 4.06451 | − | 7.03994i | 0.304648 | − | 0.527666i | ||||
\(179\) | 5.64704 | 0.422080 | 0.211040 | − | 0.977477i | \(-0.432315\pi\) | ||||
0.211040 | + | 0.977477i | \(0.432315\pi\) | |||||||
\(180\) | 1.25200 | + | 11.3597i | 0.0933189 | + | 0.846704i | ||||
\(181\) | 20.1352 | 1.49664 | 0.748320 | − | 0.663338i | \(-0.230861\pi\) | ||||
0.748320 | + | 0.663338i | \(0.230861\pi\) | |||||||
\(182\) | 1.19913 | − | 2.07695i | 0.0888851 | − | 0.153954i | ||||
\(183\) | −1.05364 | + | 5.01929i | −0.0778874 | + | 0.371037i | ||||
\(184\) | 12.3257 | + | 21.3487i | 0.908663 | + | 1.57385i | ||||
\(185\) | 1.88672 | + | 3.26790i | 0.138715 | + | 0.240261i | ||||
\(186\) | −13.2630 | + | 4.34649i | −0.972494 | + | 0.318700i | ||||
\(187\) | −14.8176 | + | 25.6648i | −1.08357 | + | 1.87680i | ||||
\(188\) | 2.44103 | 0.178031 | ||||||||
\(189\) | 2.13864 | + | 4.70714i | 0.155563 | + | 0.342394i | ||||
\(190\) | 10.4937 | 0.761292 | ||||||||
\(191\) | −7.85347 | + | 13.6026i | −0.568257 | + | 0.984251i | 0.428481 | + | 0.903551i | \(0.359049\pi\) |
−0.996738 | + | 0.0807000i | \(0.974284\pi\) | |||||||
\(192\) | −16.4634 | + | 5.39530i | −1.18814 | + | 0.389372i | ||||
\(193\) | 1.41849 | + | 2.45690i | 0.102105 | + | 0.176851i | 0.912552 | − | 0.408961i | \(-0.134109\pi\) |
−0.810447 | + | 0.585812i | \(0.800776\pi\) | |||||||
\(194\) | −7.07728 | − | 12.2582i | −0.508119 | − | 0.880088i | ||||
\(195\) | 0.355833 | − | 1.69511i | 0.0254818 | − | 0.121389i | ||||
\(196\) | 11.4475 | − | 19.8276i | 0.817678 | − | 1.41626i | ||||
\(197\) | −14.8597 | −1.05871 | −0.529356 | − | 0.848400i | \(-0.677566\pi\) | ||||
−0.529356 | + | 0.848400i | \(0.677566\pi\) | |||||||
\(198\) | −36.7638 | − | 16.1463i | −2.61269 | − | 1.14746i | ||||
\(199\) | −24.1994 | −1.71545 | −0.857725 | − | 0.514108i | \(-0.828123\pi\) | ||||
−0.857725 | + | 0.514108i | \(0.828123\pi\) | |||||||
\(200\) | −2.18072 | + | 3.77711i | −0.154200 | + | 0.267082i | ||||
\(201\) | −12.4878 | − | 11.1871i | −0.880821 | − | 0.789075i | ||||
\(202\) | −5.60041 | − | 9.70019i | −0.394043 | − | 0.682503i | ||||
\(203\) | −3.42463 | − | 5.93163i | −0.240362 | − | 0.416319i | ||||
\(204\) | −26.2281 | − | 23.4962i | −1.83633 | − | 1.64506i | ||||
\(205\) | 5.36985 | − | 9.30086i | 0.375047 | − | 0.649600i | ||||
\(206\) | 16.7563 | 1.16747 | ||||||||
\(207\) | 15.5251 | + | 6.81846i | 1.07907 | + | 0.473915i | ||||
\(208\) | −2.89331 | −0.200615 | ||||||||
\(209\) | −12.0881 | + | 20.9372i | −0.836150 | + | 1.44825i | ||||
\(210\) | −0.853378 | + | 4.06529i | −0.0588887 | + | 0.280532i | ||||
\(211\) | 1.49494 | + | 2.58932i | 0.102916 | + | 0.178256i | 0.912885 | − | 0.408217i | \(-0.133849\pi\) |
−0.809969 | + | 0.586473i | \(0.800516\pi\) | |||||||
\(212\) | 0.0704384 | + | 0.122003i | 0.00483773 | + | 0.00837919i | ||||
\(213\) | 5.58847 | − | 1.83142i | 0.382915 | − | 0.125487i | ||||
\(214\) | 13.6309 | − | 23.6095i | 0.931791 | − | 1.61391i | ||||
\(215\) | −11.6006 | −0.791157 | ||||||||
\(216\) | 13.1815 | − | 18.4349i | 0.896886 | − | 1.25434i | ||||
\(217\) | −3.32652 | −0.225819 | ||||||||
\(218\) | −16.2841 | + | 28.2049i | −1.10290 | + | 1.91028i | ||||
\(219\) | −10.1820 | + | 3.33680i | −0.688038 | + | 0.225480i | ||||
\(220\) | −10.5771 | − | 18.3201i | −0.713109 | − | 1.23514i | ||||
\(221\) | 2.66839 | + | 4.62178i | 0.179495 | + | 0.310895i | ||||
\(222\) | 3.23634 | − | 15.4172i | 0.217209 | − | 1.03473i | ||||
\(223\) | 2.68848 | − | 4.65658i | 0.180034 | − | 0.311828i | −0.761858 | − | 0.647744i | \(-0.775713\pi\) |
0.941892 | + | 0.335916i | \(0.109046\pi\) | |||||||
\(224\) | −1.74040 | −0.116285 | ||||||||
\(225\) | 0.328653 | + | 2.98194i | 0.0219102 | + | 0.198796i | ||||
\(226\) | 16.1413 | 1.07370 | ||||||||
\(227\) | 2.63485 | − | 4.56369i | 0.174881 | − | 0.302903i | −0.765239 | − | 0.643746i | \(-0.777379\pi\) |
0.940120 | + | 0.340843i | \(0.110713\pi\) | |||||||
\(228\) | −21.3967 | − | 19.1680i | −1.41703 | − | 1.26943i | ||||
\(229\) | −0.0817388 | − | 0.141576i | −0.00540145 | − | 0.00935559i | 0.863312 | − | 0.504671i | \(-0.168386\pi\) |
−0.868713 | + | 0.495315i | \(0.835053\pi\) | |||||||
\(230\) | 6.81165 | + | 11.7981i | 0.449147 | + | 0.777945i | ||||
\(231\) | −7.12810 | − | 6.38564i | −0.468994 | − | 0.420144i | ||||
\(232\) | −15.0113 | + | 26.0003i | −0.985537 | + | 1.70700i | ||||
\(233\) | −9.66393 | −0.633105 | −0.316553 | − | 0.948575i | \(-0.602525\pi\) | ||||
−0.316553 | + | 0.948575i | \(0.602525\pi\) | |||||||
\(234\) | −5.82836 | + | 4.27970i | −0.381012 | + | 0.279773i | ||||
\(235\) | 0.640775 | 0.0417995 | ||||||||
\(236\) | −26.2750 | + | 45.5096i | −1.71035 | + | 2.96242i | ||||
\(237\) | −0.667705 | + | 3.18079i | −0.0433721 | + | 0.206614i | ||||
\(238\) | −6.39946 | − | 11.0842i | −0.414816 | − | 0.718482i | ||||
\(239\) | −3.39989 | − | 5.88877i | −0.219920 | − | 0.380913i | 0.734863 | − | 0.678215i | \(-0.237246\pi\) |
−0.954783 | + | 0.297302i | \(0.903913\pi\) | |||||||
\(240\) | 4.76217 | − | 1.56063i | 0.307396 | − | 0.100738i | ||||
\(241\) | −0.400687 | + | 0.694011i | −0.0258105 | + | 0.0447052i | −0.878642 | − | 0.477481i | \(-0.841550\pi\) |
0.852832 | + | 0.522186i | \(0.174883\pi\) | |||||||
\(242\) | 47.8105 | 3.07338 | ||||||||
\(243\) | −0.196859 | − | 15.5872i | −0.0126285 | − | 0.999920i | ||||
\(244\) | 11.2801 | 0.722137 | ||||||||
\(245\) | 3.00498 | − | 5.20478i | 0.191981 | − | 0.332521i | ||||
\(246\) | −42.6060 | + | 13.9626i | −2.71646 | + | 0.890223i | ||||
\(247\) | 2.17685 | + | 3.77041i | 0.138510 | + | 0.239906i | ||||
\(248\) | 7.29061 | + | 12.6277i | 0.462954 | + | 0.801860i | ||||
\(249\) | 4.13189 | − | 19.6833i | 0.261848 | − | 1.24738i | ||||
\(250\) | −1.20515 | + | 2.08737i | −0.0762201 | + | 0.132017i | ||||
\(251\) | −25.8804 | −1.63356 | −0.816779 | − | 0.576951i | \(-0.804243\pi\) | ||||
−0.816779 | + | 0.576951i | \(0.804243\pi\) | |||||||
\(252\) | 9.16580 | − | 6.73034i | 0.577391 | − | 0.423972i | ||||
\(253\) | −31.3864 | −1.97325 | ||||||||
\(254\) | −5.26172 | + | 9.11357i | −0.330150 | + | 0.571836i | ||||
\(255\) | −6.88491 | − | 6.16778i | −0.431150 | − | 0.386241i | ||||
\(256\) | 14.8365 | + | 25.6975i | 0.927279 | + | 1.60609i | ||||
\(257\) | 10.7123 | + | 18.5543i | 0.668216 | + | 1.15738i | 0.978403 | + | 0.206708i | \(0.0662749\pi\) |
−0.310187 | + | 0.950676i | \(0.600392\pi\) | |||||||
\(258\) | 36.0720 | + | 32.3148i | 2.24575 | + | 2.01183i | ||||
\(259\) | 1.87730 | − | 3.25158i | 0.116650 | − | 0.202043i | ||||
\(260\) | −3.80950 | −0.236255 | ||||||||
\(261\) | 2.26233 | + | 20.5266i | 0.140035 | + | 1.27057i | ||||
\(262\) | 41.1944 | 2.54500 | ||||||||
\(263\) | 15.4484 | − | 26.7574i | 0.952590 | − | 1.64993i | 0.212801 | − | 0.977095i | \(-0.431741\pi\) |
0.739789 | − | 0.672839i | \(-0.234925\pi\) | |||||||
\(264\) | −8.61796 | + | 41.0539i | −0.530399 | + | 2.52670i | ||||
\(265\) | 0.0184902 | + | 0.0320259i | 0.00113584 | + | 0.00196734i | ||||
\(266\) | −5.22063 | − | 9.04240i | −0.320098 | − | 0.554425i | ||||
\(267\) | −5.55108 | + | 1.81917i | −0.339721 | + | 0.111331i | ||||
\(268\) | −18.4376 | + | 31.9349i | −1.12626 | + | 1.95073i | ||||
\(269\) | 6.38014 | 0.389004 | 0.194502 | − | 0.980902i | \(-0.437691\pi\) | ||||
0.194502 | + | 0.980902i | \(0.437691\pi\) | |||||||
\(270\) | 7.28458 | − | 10.1878i | 0.443325 | − | 0.620011i | ||||
\(271\) | −18.3304 | −1.11349 | −0.556747 | − | 0.830682i | \(-0.687951\pi\) | ||||
−0.556747 | + | 0.830682i | \(0.687951\pi\) | |||||||
\(272\) | −7.72048 | + | 13.3723i | −0.468123 | + | 0.810812i | ||||
\(273\) | −1.63770 | + | 0.536698i | −0.0991181 | + | 0.0324824i | ||||
\(274\) | −1.57284 | − | 2.72423i | −0.0950185 | − | 0.164577i | ||||
\(275\) | −2.77651 | − | 4.80905i | −0.167430 | − | 0.289997i | ||||
\(276\) | 7.66175 | − | 36.4987i | 0.461183 | − | 2.19697i | ||||
\(277\) | 15.7008 | − | 27.1945i | 0.943367 | − | 1.63396i | 0.184379 | − | 0.982855i | \(-0.440973\pi\) |
0.758988 | − | 0.651104i | \(-0.225694\pi\) | |||||||
\(278\) | −52.6553 | −3.15805 | ||||||||
\(279\) | 9.18304 | + | 4.03309i | 0.549774 | + | 0.241455i | ||||
\(280\) | 4.33965 | 0.259343 | ||||||||
\(281\) | 15.2031 | − | 26.3326i | 0.906944 | − | 1.57087i | 0.0886567 | − | 0.996062i | \(-0.471743\pi\) |
0.818287 | − | 0.574810i | \(-0.194924\pi\) | |||||||
\(282\) | −1.99248 | − | 1.78495i | −0.118650 | − | 0.106292i | ||||
\(283\) | −8.34932 | − | 14.4614i | −0.496315 | − | 0.859644i | 0.503675 | − | 0.863893i | \(-0.331981\pi\) |
−0.999991 | + | 0.00424928i | \(0.998647\pi\) | |||||||
\(284\) | −6.46728 | − | 11.2017i | −0.383763 | − | 0.664697i | ||||
\(285\) | −5.61665 | − | 5.03163i | −0.332702 | − | 0.298048i | ||||
\(286\) | 6.69219 | − | 11.5912i | 0.395718 | − | 0.685403i | ||||
\(287\) | −10.6861 | −0.630778 | ||||||||
\(288\) | 4.80447 | + | 2.11007i | 0.283106 | + | 0.124337i | ||||
\(289\) | 11.4811 | 0.675362 | ||||||||
\(290\) | −8.29578 | + | 14.3687i | −0.487145 | + | 0.843760i | ||||
\(291\) | −2.08965 | + | 9.95460i | −0.122497 | + | 0.583549i | ||||
\(292\) | 11.7832 | + | 20.4091i | 0.689561 | + | 1.19435i | ||||
\(293\) | −3.64625 | − | 6.31549i | −0.213016 | − | 0.368955i | 0.739641 | − | 0.673002i | \(-0.234995\pi\) |
−0.952657 | + | 0.304047i | \(0.901662\pi\) | |||||||
\(294\) | −23.8424 | + | 7.81351i | −1.39052 | + | 0.455693i | ||||
\(295\) | −6.89721 | + | 11.9463i | −0.401571 | + | 0.695542i | ||||
\(296\) | −16.4576 | −0.956581 | ||||||||
\(297\) | 11.9355 | + | 26.2701i | 0.692568 | + | 1.52434i | ||||
\(298\) | −2.87970 | −0.166816 | ||||||||
\(299\) | −2.82607 | + | 4.89489i | −0.163436 | + | 0.283079i | ||||
\(300\) | 6.27014 | − | 2.05482i | 0.362007 | − | 0.118635i | ||||
\(301\) | 5.77134 | + | 9.99626i | 0.332655 | + | 0.576175i | ||||
\(302\) | 8.44199 | + | 14.6220i | 0.485782 | + | 0.841399i | ||||
\(303\) | −1.65359 | + | 7.87729i | −0.0949960 | + | 0.452538i | ||||
\(304\) | −6.29831 | + | 10.9090i | −0.361233 | + | 0.625673i | ||||
\(305\) | 2.96105 | 0.169549 | ||||||||
\(306\) | 4.22752 | + | 38.3573i | 0.241671 | + | 2.19274i | ||||
\(307\) | 0.618605 | 0.0353056 | 0.0176528 | − | 0.999844i | \(-0.494381\pi\) | ||||
0.0176528 | + | 0.999844i | \(0.494381\pi\) | |||||||
\(308\) | −10.5243 | + | 18.2286i | −0.599677 | + | 1.03867i | ||||
\(309\) | −8.96869 | − | 8.03452i | −0.510211 | − | 0.457068i | ||||
\(310\) | 4.02907 | + | 6.97855i | 0.228836 | + | 0.396355i | ||||
\(311\) | 5.30852 | + | 9.19463i | 0.301019 | + | 0.521379i | 0.976367 | − | 0.216119i | \(-0.0693401\pi\) |
−0.675348 | + | 0.737499i | \(0.736007\pi\) | |||||||
\(312\) | 5.62663 | + | 5.04057i | 0.318545 | + | 0.285366i | ||||
\(313\) | −4.55547 | + | 7.89030i | −0.257490 | + | 0.445986i | −0.965569 | − | 0.260147i | \(-0.916229\pi\) |
0.708079 | + | 0.706134i | \(0.249562\pi\) | |||||||
\(314\) | 0.133301 | 0.00752260 | ||||||||
\(315\) | 2.40603 | − | 1.76672i | 0.135565 | − | 0.0995436i | ||||
\(316\) | 7.14836 | 0.402127 | ||||||||
\(317\) | 2.68853 | − | 4.65667i | 0.151003 | − | 0.261544i | −0.780594 | − | 0.625039i | \(-0.785083\pi\) |
0.931596 | + | 0.363494i | \(0.118416\pi\) | |||||||
\(318\) | 0.0317166 | − | 0.151090i | 0.00177858 | − | 0.00847273i | ||||
\(319\) | −19.1125 | − | 33.1038i | −1.07009 | − | 1.85346i | ||||
\(320\) | 5.00128 | + | 8.66247i | 0.279580 | + | 0.484247i | ||||
\(321\) | −18.6164 | + | 6.10085i | −1.03906 | + | 0.340516i | ||||
\(322\) | 6.77762 | − | 11.7392i | 0.377702 | − | 0.654199i | ||||
\(323\) | 23.2347 | 1.29281 | ||||||||
\(324\) | −33.4626 | + | 7.46681i | −1.85903 | + | 0.414823i | ||||
\(325\) | −1.00000 | −0.0554700 | ||||||||
\(326\) | −17.7089 | + | 30.6727i | −0.980805 | + | 1.69880i | ||||
\(327\) | 22.2399 | − | 7.28834i | 1.22987 | − | 0.403046i | ||||
\(328\) | 23.4202 | + | 40.5651i | 1.29317 | + | 2.23983i | ||||
\(329\) | −0.318787 | − | 0.552155i | −0.0175753 | − | 0.0304413i | ||||
\(330\) | −4.76261 | + | 22.6880i | −0.262173 | + | 1.24893i | ||||
\(331\) | 2.07973 | − | 3.60219i | 0.114312 | − | 0.197994i | −0.803192 | − | 0.595720i | \(-0.796867\pi\) |
0.917505 | + | 0.397725i | \(0.130200\pi\) | |||||||
\(332\) | −44.2355 | −2.42774 | ||||||||
\(333\) | −9.12462 | + | 6.70011i | −0.500026 | + | 0.367164i | ||||
\(334\) | −14.9028 | −0.815443 | ||||||||
\(335\) | −4.83990 | + | 8.38295i | −0.264432 | + | 0.458010i | ||||
\(336\) | −3.71398 | − | 3.32714i | −0.202614 | − | 0.181510i | ||||
\(337\) | 7.74991 | + | 13.4232i | 0.422164 | + | 0.731210i | 0.996151 | − | 0.0876546i | \(-0.0279372\pi\) |
−0.573987 | + | 0.818865i | \(0.694604\pi\) | |||||||
\(338\) | −1.20515 | − | 2.08737i | −0.0655513 | − | 0.113538i | ||||
\(339\) | −8.63947 | − | 7.73959i | −0.469232 | − | 0.420357i | ||||
\(340\) | −10.1652 | + | 17.6067i | −0.551287 | + | 0.954857i | ||||
\(341\) | −18.5650 | −1.00535 | ||||||||
\(342\) | 3.44878 | + | 31.2916i | 0.186489 | + | 1.69205i | ||||
\(343\) | −12.9450 | −0.698963 | ||||||||
\(344\) | 25.2977 | − | 43.8169i | 1.36396 | − | 2.36245i | ||||
\(345\) | 2.01122 | − | 9.58097i | 0.108280 | − | 0.515822i | ||||
\(346\) | 5.59849 | + | 9.69687i | 0.300977 | + | 0.521307i | ||||
\(347\) | −15.7836 | − | 27.3381i | −0.847310 | − | 1.46758i | −0.883600 | − | 0.468243i | \(-0.844887\pi\) |
0.0362899 | − | 0.999341i | \(-0.488446\pi\) | |||||||
\(348\) | 43.1614 | − | 14.1446i | 2.31369 | − | 0.758231i | ||||
\(349\) | −3.54172 | + | 6.13445i | −0.189584 | + | 0.328369i | −0.945112 | − | 0.326748i | \(-0.894047\pi\) |
0.755528 | + | 0.655117i | \(0.227381\pi\) | |||||||
\(350\) | 2.39825 | 0.128192 | ||||||||
\(351\) | 5.17165 | + | 0.503973i | 0.276042 | + | 0.0269001i | ||||
\(352\) | −9.71298 | −0.517704 | ||||||||
\(353\) | 9.06065 | − | 15.6935i | 0.482250 | − | 0.835281i | −0.517543 | − | 0.855657i | \(-0.673153\pi\) |
0.999792 | + | 0.0203766i | \(0.00648653\pi\) | |||||||
\(354\) | 54.7246 | − | 17.9340i | 2.90858 | − | 0.953183i | ||||
\(355\) | −1.69767 | − | 2.94045i | −0.0901030 | − | 0.156063i | ||||
\(356\) | 6.42403 | + | 11.1267i | 0.340473 | + | 0.589716i | ||||
\(357\) | −1.88952 | + | 9.00121i | −0.100004 | + | 0.476394i | ||||
\(358\) | −6.80551 | + | 11.7875i | −0.359682 | + | 0.622988i | ||||
\(359\) | −4.30657 | −0.227292 | −0.113646 | − | 0.993521i | \(-0.536253\pi\) | ||||
−0.113646 | + | 0.993521i | \(0.536253\pi\) | |||||||
\(360\) | −11.9798 | − | 5.26141i | −0.631392 | − | 0.277301i | ||||
\(361\) | −0.0453102 | −0.00238475 | ||||||||
\(362\) | −24.2659 | + | 42.0297i | −1.27539 | + | 2.20903i | ||||
\(363\) | −25.5902 | − | 22.9247i | −1.34314 | − | 1.20324i | ||||
\(364\) | 1.89524 | + | 3.28265i | 0.0993374 | + | 0.172058i | ||||
\(365\) | 3.09311 | + | 5.35743i | 0.161901 | + | 0.280420i | ||||
\(366\) | −9.20735 | − | 8.24832i | −0.481276 | − | 0.431147i | ||||
\(367\) | −6.37372 | + | 11.0396i | −0.332706 | + | 0.576263i | −0.983041 | − | 0.183384i | \(-0.941295\pi\) |
0.650336 | + | 0.759647i | \(0.274628\pi\) | |||||||
\(368\) | −16.3534 | −0.852480 | ||||||||
\(369\) | 29.4994 | + | 12.9558i | 1.53568 | + | 0.674454i | ||||
\(370\) | −9.09511 | −0.472832 | ||||||||
\(371\) | 0.0183978 | − | 0.0318659i | 0.000955167 | − | 0.00165440i | ||||
\(372\) | 4.53190 | − | 21.5889i | 0.234968 | − | 1.11933i | ||||
\(373\) | 8.91873 | + | 15.4477i | 0.461794 | + | 0.799852i | 0.999050 | − | 0.0435677i | \(-0.0138724\pi\) |
−0.537256 | + | 0.843419i | \(0.680539\pi\) | |||||||
\(374\) | −35.7147 | − | 61.8597i | −1.84676 | − | 3.19869i | ||||
\(375\) | 1.64592 | − | 0.539392i | 0.0849950 | − | 0.0278541i | ||||
\(376\) | −1.39735 | + | 2.42028i | −0.0720627 | + | 0.124816i | ||||
\(377\) | −6.88364 | −0.354525 | ||||||||
\(378\) | −12.4029 | − | 1.20866i | −0.637938 | − | 0.0621665i | ||||
\(379\) | 16.1970 | 0.831983 | 0.415991 | − | 0.909369i | \(-0.363435\pi\) | ||||
0.415991 | + | 0.909369i | \(0.363435\pi\) | |||||||
\(380\) | −8.29272 | + | 14.3634i | −0.425407 | + | 0.736827i | ||||
\(381\) | 7.18617 | − | 2.35501i | 0.368158 | − | 0.120651i | ||||
\(382\) | −18.9292 | − | 32.7863i | −0.968500 | − | 1.67749i | ||||
\(383\) | 1.19373 | + | 2.06760i | 0.0609968 | + | 0.105649i | 0.894911 | − | 0.446244i | \(-0.147239\pi\) |
−0.833914 | + | 0.551894i | \(0.813905\pi\) | |||||||
\(384\) | 7.33401 | − | 34.9375i | 0.374262 | − | 1.78290i | ||||
\(385\) | −2.76264 | + | 4.78503i | −0.140797 | + | 0.243868i | ||||
\(386\) | −6.83794 | −0.348042 | ||||||||
\(387\) | −3.81258 | − | 34.5924i | −0.193804 | − | 1.75843i | ||||
\(388\) | 22.3715 | 1.13574 | ||||||||
\(389\) | −15.3850 | + | 26.6476i | −0.780050 | + | 1.35109i | 0.151862 | + | 0.988402i | \(0.451473\pi\) |
−0.931912 | + | 0.362684i | \(0.881860\pi\) | |||||||
\(390\) | 3.10949 | + | 2.78561i | 0.157455 | + | 0.141055i | ||||
\(391\) | 15.0821 | + | 26.1229i | 0.762734 | + | 1.32109i | ||||
\(392\) | 13.1060 | + | 22.7003i | 0.661954 | + | 1.14654i | ||||
\(393\) | −22.0489 | − | 19.7523i | −1.11222 | − | 0.996373i | ||||
\(394\) | 17.9081 | − | 31.0178i | 0.902198 | − | 1.56265i | ||||
\(395\) | 1.87645 | 0.0944146 | ||||||||
\(396\) | 51.1533 | − | 37.5613i | 2.57055 | − | 1.88753i | ||||
\(397\) | 30.0408 | 1.50770 | 0.753851 | − | 0.657045i | \(-0.228194\pi\) | ||||
0.753851 | + | 0.657045i | \(0.228194\pi\) | |||||||
\(398\) | 29.1638 | − | 50.5132i | 1.46185 | − | 2.53200i | ||||
\(399\) | −1.54145 | + | 7.34311i | −0.0771692 | + | 0.367616i | ||||
\(400\) | −1.44666 | − | 2.50568i | −0.0723328 | − | 0.125284i | ||||
\(401\) | −2.70948 | − | 4.69296i | −0.135305 | − | 0.234355i | 0.790409 | − | 0.612580i | \(-0.209868\pi\) |
−0.925714 | + | 0.378224i | \(0.876535\pi\) | |||||||
\(402\) | 38.4012 | − | 12.5846i | 1.91528 | − | 0.627664i | ||||
\(403\) | −1.67161 | + | 2.89531i | −0.0832688 | + | 0.144226i | ||||
\(404\) | 17.7031 | 0.880760 | ||||||||
\(405\) | −8.78397 | + | 1.96005i | −0.436479 | + | 0.0973956i | ||||
\(406\) | 16.5087 | 0.819313 | ||||||||
\(407\) | 10.4770 | − | 18.1467i | 0.519326 | − | 0.899499i | ||||
\(408\) | 38.3104 | − | 12.5549i | 1.89665 | − | 0.621559i | ||||
\(409\) | −1.43522 | − | 2.48588i | −0.0709672 | − | 0.122919i | 0.828358 | − | 0.560199i | \(-0.189275\pi\) |
−0.899325 | + | 0.437280i | \(0.855942\pi\) | |||||||
\(410\) | 12.9429 | + | 22.4178i | 0.639205 | + | 1.10713i | ||||
\(411\) | −0.464398 | + | 2.21228i | −0.0229071 | + | 0.109124i | ||||
\(412\) | −13.2418 | + | 22.9355i | −0.652378 | + | 1.12995i | ||||
\(413\) | 13.7255 | 0.675389 | ||||||||
\(414\) | −32.9427 | + | 24.1894i | −1.61904 | + | 1.18885i | ||||
\(415\) | −11.6119 | −0.570004 | ||||||||
\(416\) | −0.874568 | + | 1.51480i | −0.0428792 | + | 0.0742690i | ||||
\(417\) | 28.1833 | + | 25.2477i | 1.38014 | + | 1.23639i | ||||
\(418\) | −29.1358 | − | 50.4647i | −1.42508 | − | 2.46831i | ||||
\(419\) | −0.429130 | − | 0.743275i | −0.0209644 | − | 0.0363114i | 0.855353 | − | 0.518046i | \(-0.173340\pi\) |
−0.876317 | + | 0.481734i | \(0.840007\pi\) | |||||||
\(420\) | −4.89005 | − | 4.38070i | −0.238610 | − | 0.213756i | ||||
\(421\) | 2.70772 | − | 4.68990i | 0.131966 | − | 0.228572i | −0.792468 | − | 0.609913i | \(-0.791204\pi\) |
0.924434 | + | 0.381341i | \(0.124538\pi\) | |||||||
\(422\) | −7.20649 | −0.350806 | ||||||||
\(423\) | 0.210592 | + | 1.91075i | 0.0102394 | + | 0.0929040i | ||||
\(424\) | −0.161287 | −0.00783280 | ||||||||
\(425\) | −2.66839 | + | 4.62178i | −0.129436 | + | 0.224189i | ||||
\(426\) | −2.91206 | + | 13.8723i | −0.141090 | + | 0.672117i | ||||
\(427\) | −1.47313 | − | 2.55154i | −0.0712898 | − | 0.123478i | ||||
\(428\) | 21.5439 | + | 37.3151i | 1.04136 | + | 1.80370i | ||||
\(429\) | −9.13983 | + | 2.99525i | −0.441275 | + | 0.144612i | ||||
\(430\) | 13.9805 | − | 24.2149i | 0.674197 | − | 1.16774i | ||||
\(431\) | −17.5867 | −0.847121 | −0.423561 | − | 0.905868i | \(-0.639220\pi\) | ||||
−0.423561 | + | 0.905868i | \(0.639220\pi\) | |||||||
\(432\) | 6.21881 | + | 13.6876i | 0.299203 | + | 0.658545i | ||||
\(433\) | 16.6547 | 0.800374 | 0.400187 | − | 0.916434i | \(-0.368945\pi\) | ||||
0.400187 | + | 0.916434i | \(0.368945\pi\) | |||||||
\(434\) | 4.00894 | − | 6.94369i | 0.192435 | − | 0.333308i | ||||
\(435\) | 11.3299 | − | 3.71298i | 0.543228 | − | 0.178024i | ||||
\(436\) | −25.7373 | − | 44.5783i | −1.23259 | − | 2.13491i | ||||
\(437\) | 12.3039 | + | 21.3109i | 0.588573 | + | 1.01944i | ||||
\(438\) | 5.30569 | − | 25.2750i | 0.253516 | − | 1.20769i | ||||
\(439\) | −19.7895 | + | 34.2765i | −0.944503 | + | 1.63593i | −0.187759 | + | 0.982215i | \(0.560122\pi\) |
−0.756744 | + | 0.653711i | \(0.773211\pi\) | |||||||
\(440\) | 24.2191 | 1.15460 | ||||||||
\(441\) | 16.5080 | + | 7.25012i | 0.786094 | + | 0.345244i | ||||
\(442\) | −12.8632 | −0.611839 | ||||||||
\(443\) | 14.6061 | − | 25.2984i | 0.693955 | − | 1.20197i | −0.276577 | − | 0.960992i | \(-0.589200\pi\) |
0.970532 | − | 0.240973i | \(-0.0774666\pi\) | |||||||
\(444\) | 18.5450 | + | 16.6133i | 0.880105 | + | 0.788434i | ||||
\(445\) | 1.68632 | + | 2.92078i | 0.0799390 | + | 0.138458i | ||||
\(446\) | 6.48001 | + | 11.2237i | 0.306838 | + | 0.531458i | ||||
\(447\) | 1.54133 | + | 1.38079i | 0.0729026 | + | 0.0653091i | ||||
\(448\) | 4.97630 | − | 8.61920i | 0.235108 | − | 0.407219i | ||||
\(449\) | −19.3679 | −0.914027 | −0.457013 | − | 0.889460i | \(-0.651081\pi\) | ||||
−0.457013 | + | 0.889460i | \(0.651081\pi\) | |||||||
\(450\) | −6.62050 | − | 2.90765i | −0.312094 | − | 0.137068i | ||||
\(451\) | −59.6378 | −2.80823 | ||||||||
\(452\) | −12.7558 | + | 22.0936i | −0.599980 | + | 1.03920i | ||||
\(453\) | 2.49260 | − | 11.8741i | 0.117112 | − | 0.557896i | ||||
\(454\) | 6.35076 | + | 10.9998i | 0.298056 | + | 0.516248i | ||||
\(455\) | 0.497502 | + | 0.861700i | 0.0233233 | + | 0.0403971i | ||||
\(456\) | 31.2533 | − | 10.2422i | 1.46357 | − | 0.479634i | ||||
\(457\) | 6.97566 | − | 12.0822i | 0.326308 | − | 0.565181i | −0.655469 | − | 0.755223i | \(-0.727529\pi\) |
0.981776 | + | 0.190041i | \(0.0608621\pi\) | |||||||
\(458\) | 0.394029 | 0.0184118 | ||||||||
\(459\) | 16.1292 | − | 22.5575i | 0.752848 | − | 1.05289i | ||||
\(460\) | −21.5318 | −1.00393 | ||||||||
\(461\) | −10.6825 | + | 18.5026i | −0.497533 | + | 0.861752i | −0.999996 | − | 0.00284633i | \(-0.999094\pi\) |
0.502463 | + | 0.864599i | \(0.332427\pi\) | |||||||
\(462\) | 21.9196 | − | 7.18337i | 1.01979 | − | 0.334201i | ||||
\(463\) | −16.7903 | − | 29.0816i | −0.780309 | − | 1.35154i | −0.931762 | − | 0.363071i | \(-0.881728\pi\) |
0.151452 | − | 0.988465i | \(-0.451605\pi\) | |||||||
\(464\) | −9.95826 | − | 17.2482i | −0.462300 | − | 0.800728i | ||||
\(465\) | 1.18963 | − | 5.66711i | 0.0551677 | − | 0.262806i | ||||
\(466\) | 11.6464 | − | 20.1722i | 0.539511 | − | 0.934461i | ||||
\(467\) | 23.1486 | 1.07119 | 0.535595 | − | 0.844475i | \(-0.320087\pi\) | ||||
0.535595 | + | 0.844475i | \(0.320087\pi\) | |||||||
\(468\) | −1.25200 | − | 11.3597i | −0.0578739 | − | 0.525104i | ||||
\(469\) | 9.63145 | 0.444739 | ||||||||
\(470\) | −0.772227 | + | 1.33754i | −0.0356202 | + | 0.0616959i | ||||
\(471\) | −0.0713481 | − | 0.0639165i | −0.00328755 | − | 0.00294512i | ||||
\(472\) | −30.0817 | − | 52.1031i | −1.38462 | − | 2.39824i | ||||
\(473\) | 32.2093 | + | 55.7881i | 1.48098 | + | 2.56514i | ||||
\(474\) | −5.83481 | − | 5.22706i | −0.268002 | − | 0.240087i | ||||
\(475\) | −2.17685 | + | 3.77041i | −0.0998807 | + | 0.172998i | ||||
\(476\) | 20.2289 | 0.927190 | ||||||||
\(477\) | −0.0894226 | + | 0.0656620i | −0.00409438 | + | 0.00300646i | ||||
\(478\) | 16.3894 | 0.749635 | ||||||||
\(479\) | 18.3588 | − | 31.7984i | 0.838835 | − | 1.45290i | −0.0520353 | − | 0.998645i | \(-0.516571\pi\) |
0.890870 | − | 0.454259i | \(-0.150096\pi\) | |||||||
\(480\) | 0.622401 | − | 2.96497i | 0.0284086 | − | 0.135332i | ||||
\(481\) | −1.88672 | − | 3.26790i | −0.0860272 | − | 0.149003i | ||||
\(482\) | −0.965773 | − | 1.67277i | −0.0439898 | − | 0.0761925i | ||||
\(483\) | −9.25650 | + | 3.03349i | −0.421185 | + | 0.138029i | ||||
\(484\) | −37.7827 | + | 65.4415i | −1.71739 | + | 2.97461i | ||||
\(485\) | 5.87255 | 0.266659 | ||||||||
\(486\) | 32.7736 | + | 18.3739i | 1.48664 | + | 0.833459i | ||||
\(487\) | −17.9211 | −0.812082 | −0.406041 | − | 0.913855i | \(-0.633091\pi\) | ||||
−0.406041 | + | 0.913855i | \(0.633091\pi\) | |||||||
\(488\) | −6.45721 | + | 11.1842i | −0.292304 | + | 0.506286i | ||||
\(489\) | 24.1858 | − | 7.92604i | 1.09372 | − | 0.358428i | ||||
\(490\) | 7.24288 | + | 12.5450i | 0.327200 | + | 0.566727i | ||||
\(491\) | −0.769258 | − | 1.33239i | −0.0347161 | − | 0.0601301i | 0.848145 | − | 0.529764i | \(-0.177719\pi\) |
−0.882861 | + | 0.469634i | \(0.844386\pi\) | |||||||
\(492\) | 14.5582 | − | 69.3518i | 0.656334 | − | 3.12662i | ||||
\(493\) | −18.3682 | + | 31.8147i | −0.827262 | + | 1.43286i | ||||
\(494\) | −10.4937 | −0.472133 | ||||||||
\(495\) | 13.4278 | − | 9.85990i | 0.603536 | − | 0.443170i | ||||
\(496\) | −9.67298 | −0.434330 | ||||||||
\(497\) | −1.68919 | + | 2.92576i | −0.0757706 | + | 0.131238i | ||||
\(498\) | 36.1070 | + | 32.3461i | 1.61799 | + | 1.44946i | ||||
\(499\) | 10.7120 | + | 18.5538i | 0.479536 | + | 0.830581i | 0.999725 | − | 0.0234706i | \(-0.00747161\pi\) |
−0.520188 | + | 0.854052i | \(0.674138\pi\) | |||||||
\(500\) | −1.90475 | − | 3.29913i | −0.0851831 | − | 0.147541i | ||||
\(501\) | 7.97658 | + | 7.14575i | 0.356367 | + | 0.319248i | ||||
\(502\) | 31.1897 | − | 54.0221i | 1.39206 | − | 2.41113i | ||||
\(503\) | 42.5500 | 1.89721 | 0.948606 | − | 0.316459i | \(-0.102494\pi\) | ||||
0.948606 | + | 0.316459i | \(0.102494\pi\) | |||||||
\(504\) | 1.42624 | + | 12.9406i | 0.0635297 | + | 0.576419i | ||||
\(505\) | 4.64708 | 0.206792 | ||||||||
\(506\) | 37.8252 | − | 65.5152i | 1.68154 | − | 2.91250i | ||||
\(507\) | −0.355833 | + | 1.69511i | −0.0158031 | + | 0.0752823i | ||||
\(508\) | −8.31623 | − | 14.4041i | −0.368973 | − | 0.639080i | ||||
\(509\) | −19.5558 | − | 33.8717i | −0.866797 | − | 1.50134i | −0.865252 | − | 0.501337i | \(-0.832842\pi\) |
−0.00154441 | − | 0.999999i | \(-0.500492\pi\) | |||||||
\(510\) | 21.1718 | − | 6.93830i | 0.937502 | − | 0.307233i | ||||
\(511\) | 3.07766 | − | 5.33066i | 0.136148 | − | 0.235815i | ||||
\(512\) | −30.2988 | −1.33903 | ||||||||
\(513\) | 13.1581 | − | 18.4022i | 0.580944 | − | 0.812477i | ||||
\(514\) | −51.6396 | −2.27772 | ||||||||
\(515\) | −3.47600 | + | 6.02061i | −0.153171 | + | 0.265300i | ||||
\(516\) | −72.7376 | + | 23.8372i | −3.20210 | + | 1.04937i | ||||
\(517\) | −1.77912 | − | 3.08152i | −0.0782454 | − | 0.135525i | ||||
\(518\) | 4.52484 | + | 7.83725i | 0.198810 | + | 0.344349i | ||||
\(519\) | 1.65302 | − | 7.87459i | 0.0725595 | − | 0.345656i | ||||
\(520\) | 2.18072 | − | 3.77711i | 0.0956307 | − | 0.165637i | ||||
\(521\) | −26.6579 | −1.16791 | −0.583953 | − | 0.811788i | \(-0.698495\pi\) | ||||
−0.583953 | + | 0.811788i | \(0.698495\pi\) | |||||||
\(522\) | −45.5731 | − | 20.0152i | −1.99468 | − | 0.876043i | ||||
\(523\) | 34.2818 | 1.49904 | 0.749519 | − | 0.661983i | \(-0.230285\pi\) | ||||
0.749519 | + | 0.661983i | \(0.230285\pi\) | |||||||
\(524\) | −32.5542 | + | 56.3855i | −1.42214 | + | 2.46321i | ||||
\(525\) | −1.28364 | − | 1.14994i | −0.0560228 | − | 0.0501875i | ||||
\(526\) | 37.2352 | + | 64.4932i | 1.62353 | + | 2.81204i | ||||
\(527\) | 8.92100 | + | 15.4516i | 0.388605 | + | 0.673083i | ||||
\(528\) | −20.7273 | − | 18.5684i | −0.902042 | − | 0.808086i | ||||
\(529\) | −4.47333 | + | 7.74803i | −0.194492 | + | 0.336871i | ||||
\(530\) | −0.0891334 | −0.00387171 | ||||||||
\(531\) | −37.8901 | − | 16.6409i | −1.64429 | − | 0.722154i | ||||
\(532\) | 16.5026 | 0.715478 | ||||||||
\(533\) | −5.36985 | + | 9.30086i | −0.232594 | + | 0.402865i | ||||
\(534\) | 2.89258 | − | 13.7796i | 0.125174 | − | 0.596300i | ||||
\(535\) | 5.65530 | + | 9.79527i | 0.244500 | + | 0.423487i | ||||
\(536\) | −21.1089 | − | 36.5617i | −0.911765 | − | 1.57922i | ||||
\(537\) | 9.29459 | − | 3.04597i | 0.401091 | − | 0.131443i | ||||
\(538\) | −7.68900 | + | 13.3177i | −0.331496 | + | 0.574168i | ||||
\(539\) | −33.3734 | −1.43750 | ||||||||
\(540\) | 8.18805 | + | 18.0219i | 0.352357 | + | 0.775539i | ||||
\(541\) | −6.13387 | −0.263716 | −0.131858 | − | 0.991269i | \(-0.542094\pi\) | ||||
−0.131858 | + | 0.991269i | \(0.542094\pi\) | |||||||
\(542\) | 22.0908 | − | 38.2625i | 0.948883 | − | 1.64351i | ||||
\(543\) | 33.1410 | − | 10.8608i | 1.42222 | − | 0.466081i | ||||
\(544\) | 4.66737 | + | 8.08413i | 0.200112 | + | 0.346604i | ||||
\(545\) | −6.75607 | − | 11.7019i | −0.289398 | − | 0.501253i | ||||
\(546\) | 0.853378 | − | 4.06529i | 0.0365212 | − | 0.173978i | ||||
\(547\) | 5.59571 | − | 9.69206i | 0.239255 | − | 0.414402i | −0.721245 | − | 0.692680i | \(-0.756430\pi\) |
0.960501 | + | 0.278277i | \(0.0897634\pi\) | |||||||
\(548\) | 4.97179 | 0.212384 | ||||||||
\(549\) | 0.973158 | + | 8.82969i | 0.0415334 | + | 0.376842i | ||||
\(550\) | 13.3844 | 0.570712 | ||||||||
\(551\) | −14.9846 | + | 25.9542i | −0.638367 | + | 1.10568i | ||||
\(552\) | 31.8025 | + | 28.4900i | 1.35360 | + | 1.21261i | ||||
\(553\) | −0.933540 | − | 1.61694i | −0.0396982 | − | 0.0687593i | ||||
\(554\) | 37.8434 | + | 65.5467i | 1.60781 | + | 2.78481i | ||||
\(555\) | 4.86808 | + | 4.36102i | 0.206638 | + | 0.185115i | ||||
\(556\) | 41.6112 | − | 72.0728i | 1.76471 | − | 3.05657i | ||||
\(557\) | −35.8708 | −1.51989 | −0.759947 | − | 0.649985i | \(-0.774775\pi\) | ||||
−0.759947 | + | 0.649985i | \(0.774775\pi\) | |||||||
\(558\) | −19.4855 | + | 14.3080i | −0.824886 | + | 0.605705i | ||||
\(559\) | 11.6006 | 0.490654 | ||||||||
\(560\) | −1.43943 | + | 2.49317i | −0.0608270 | + | 0.105356i | ||||
\(561\) | −10.5452 | + | 50.2348i | −0.445218 | + | 2.12091i | ||||
\(562\) | 36.6440 | + | 63.4693i | 1.54573 | + | 2.67729i | ||||
\(563\) | −3.37866 | − | 5.85202i | −0.142394 | − | 0.246633i | 0.786004 | − | 0.618222i | \(-0.212147\pi\) |
−0.928398 | + | 0.371588i | \(0.878813\pi\) | |||||||
\(564\) | 4.01775 | − | 1.31667i | 0.169178 | − | 0.0554420i | ||||
\(565\) | −3.34840 | + | 5.79961i | −0.140868 | + | 0.243991i | ||||
\(566\) | 40.2486 | 1.69177 | ||||||||
\(567\) | 6.05902 | + | 6.59402i | 0.254455 | + | 0.276923i | ||||
\(568\) | 14.8086 | 0.621353 | ||||||||
\(569\) | 4.66583 | − | 8.08146i | 0.195602 | − | 0.338792i | −0.751496 | − | 0.659738i | \(-0.770667\pi\) |
0.947098 | + | 0.320945i | \(0.104001\pi\) | |||||||
\(570\) | 17.2718 | − | 5.66021i | 0.723435 | − | 0.237080i | ||||
\(571\) | −11.7739 | − | 20.3930i | −0.492723 | − | 0.853422i | 0.507242 | − | 0.861804i | \(-0.330665\pi\) |
−0.999965 | + | 0.00838230i | \(0.997332\pi\) | |||||||
\(572\) | 10.5771 | + | 18.3201i | 0.442252 | + | 0.766002i | ||||
\(573\) | −5.58906 | + | 26.6249i | −0.233486 | + | 1.11227i | ||||
\(574\) | 12.8783 | − | 22.3058i | 0.537528 | − | 0.931026i | ||||
\(575\) | −5.65214 | −0.235710 | ||||||||
\(576\) | −24.1873 | + | 17.7605i | −1.00780 | + | 0.740020i | ||||
\(577\) | −21.5682 | −0.897894 | −0.448947 | − | 0.893558i | \(-0.648201\pi\) | ||||
−0.448947 | + | 0.893558i | \(0.648201\pi\) | |||||||
\(578\) | −13.8365 | + | 23.9654i | −0.575521 | + | 0.996831i | ||||
\(579\) | 3.65995 | + | 3.27873i | 0.152102 | + | 0.136260i | ||||
\(580\) | −13.1116 | − | 22.7100i | −0.544430 | − | 0.942981i | ||||
\(581\) | 5.77693 | + | 10.0059i | 0.239668 | + | 0.415116i | ||||
\(582\) | −18.2606 | − | 16.3586i | −0.756927 | − | 0.678087i | ||||
\(583\) | 0.102676 | − | 0.177840i | 0.00425241 | − | 0.00736540i | ||||
\(584\) | −26.9808 | −1.11647 | ||||||||
\(585\) | −0.328653 | − | 2.98194i | −0.0135881 | − | 0.123288i | ||||
\(586\) | 17.5771 | 0.726101 | ||||||||
\(587\) | 9.06951 | − | 15.7089i | 0.374339 | − | 0.648374i | −0.615889 | − | 0.787833i | \(-0.711203\pi\) |
0.990228 | + | 0.139459i | \(0.0445363\pi\) | |||||||
\(588\) | 8.14680 | − | 38.8094i | 0.335968 | − | 1.60047i | ||||
\(589\) | 7.27768 | + | 12.6053i | 0.299872 | + | 0.519393i | ||||
\(590\) | −16.6243 | − | 28.7941i | −0.684411 | − | 1.18544i | ||||
\(591\) | −24.4579 | + | 8.01522i | −1.00606 | + | 0.329702i | ||||
\(592\) | 5.45888 | − | 9.45506i | 0.224359 | − | 0.388601i | ||||
\(593\) | −24.7861 | −1.01784 | −0.508922 | − | 0.860813i | \(-0.669956\pi\) | ||||
−0.508922 | + | 0.860813i | \(0.669956\pi\) | |||||||
\(594\) | −69.2194 | − | 6.74538i | −2.84011 | − | 0.276766i | ||||
\(595\) | 5.31012 | 0.217694 | ||||||||
\(596\) | 2.27570 | − | 3.94163i | 0.0932165 | − | 0.161456i | ||||
\(597\) | −39.8303 | + | 13.0530i | −1.63015 | + | 0.534222i | ||||
\(598\) | −6.81165 | − | 11.7981i | −0.278549 | − | 0.482461i | ||||
\(599\) | 23.2828 | + | 40.3270i | 0.951310 | + | 1.64772i | 0.742595 | + | 0.669741i | \(0.233595\pi\) |
0.208715 | + | 0.977976i | \(0.433072\pi\) | |||||||
\(600\) | −1.55194 | + | 7.39309i | −0.0633578 | + | 0.301822i | ||||
\(601\) | 5.45183 | − | 9.44284i | 0.222385 | − | 0.385182i | −0.733147 | − | 0.680070i | \(-0.761949\pi\) |
0.955532 | + | 0.294889i | \(0.0952826\pi\) | |||||||
\(602\) | −27.8212 | −1.13391 | ||||||||
\(603\) | −26.5881 | − | 11.6772i | −1.08275 | − | 0.475533i | ||||
\(604\) | −26.6854 | −1.08581 | ||||||||
\(605\) | −9.91800 | + | 17.1785i | −0.403224 | + | 0.698405i | ||||
\(606\) | −14.4500 | − | 12.9449i | −0.586992 | − | 0.525852i | ||||
\(607\) | −8.81107 | − | 15.2612i | −0.357630 | − | 0.619434i | 0.629934 | − | 0.776649i | \(-0.283082\pi\) |
−0.987564 | + | 0.157215i | \(0.949749\pi\) | |||||||
\(608\) | 3.80761 | + | 6.59497i | 0.154419 | + | 0.267461i | ||||
\(609\) | −8.83614 | − | 7.91577i | −0.358058 | − | 0.320763i | ||||
\(610\) | −3.56850 | + | 6.18082i | −0.144484 | + | 0.250254i | ||||
\(611\) | −0.640775 | −0.0259230 | ||||||||
\(612\) | −55.8430 | − | 24.5256i | −2.25732 | − | 0.991391i | ||||
\(613\) | 14.3063 | 0.577824 | 0.288912 | − | 0.957356i | \(-0.406706\pi\) | ||||
0.288912 | + | 0.957356i | \(0.406706\pi\) | |||||||
\(614\) | −0.745509 | + | 1.29126i | −0.0300863 | + | 0.0521110i | ||||
\(615\) | 3.82154 | − | 18.2049i | 0.154100 | − | 0.734094i | ||||
\(616\) | −12.0491 | − | 20.8696i | −0.485471 | − | 0.840860i | ||||
\(617\) | 14.5216 | + | 25.1521i | 0.584616 | + | 1.01259i | 0.994923 | + | 0.100638i | \(0.0320883\pi\) |
−0.410307 | + | 0.911948i | \(0.634578\pi\) | |||||||
\(618\) | 27.5796 | − | 9.03824i | 1.10941 | − | 0.363571i | ||||
\(619\) | −13.6571 | + | 23.6547i | −0.548924 | + | 0.950764i | 0.449425 | + | 0.893318i | \(0.351629\pi\) |
−0.998349 | + | 0.0574458i | \(0.981704\pi\) | |||||||
\(620\) | −12.7360 | −0.511490 | ||||||||
\(621\) | 29.2309 | + | 2.84853i | 1.17300 | + | 0.114307i | ||||
\(622\) | −25.5902 | −1.02607 | ||||||||
\(623\) | 1.67789 | − | 2.90619i | 0.0672233 | − | 0.116434i | ||||
\(624\) | −4.76217 | + | 1.56063i | −0.190639 | + | 0.0624752i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −10.9800 | − | 19.0179i | −0.438849 | − | 0.760109i | ||||
\(627\) | −8.60268 | + | 40.9811i | −0.343558 | + | 1.63663i | ||||
\(628\) | −0.105342 | + | 0.182458i | −0.00420360 | + | 0.00728085i | ||||
\(629\) | −20.1380 | −0.802956 | ||||||||
\(630\) | 0.788192 | + | 7.15145i | 0.0314023 | + | 0.284921i | ||||
\(631\) | 23.5760 | 0.938547 | 0.469274 | − | 0.883053i | \(-0.344516\pi\) | ||||
0.469274 | + | 0.883053i | \(0.344516\pi\) | |||||||
\(632\) | −4.09201 | + | 7.08757i | −0.162772 | + | 0.281929i | ||||
\(633\) | 3.85721 | + | 3.45545i | 0.153310 | + | 0.137342i | ||||
\(634\) | 6.48013 | + | 11.2239i | 0.257359 | + | 0.445759i | ||||
\(635\) | −2.18302 | − | 3.78111i | −0.0866306 | − | 0.150049i | ||||
\(636\) | 0.181743 | + | 0.162813i | 0.00720659 | + | 0.00645596i | ||||
\(637\) | −3.00498 | + | 5.20478i | −0.119062 | + | 0.206221i | ||||
\(638\) | 92.1333 | 3.64759 | ||||||||
\(639\) | 8.21032 | − | 6.02875i | 0.324795 | − | 0.238494i | ||||
\(640\) | −20.6108 | −0.814713 | ||||||||
\(641\) | 16.6478 | − | 28.8349i | 0.657550 | − | 1.13891i | −0.323698 | − | 0.946161i | \(-0.604926\pi\) |
0.981248 | − | 0.192750i | \(-0.0617406\pi\) | |||||||
\(642\) | 9.70068 | − | 46.2117i | 0.382855 | − | 1.82383i | ||||
\(643\) | 9.39883 | + | 16.2792i | 0.370654 | + | 0.641991i | 0.989666 | − | 0.143390i | \(-0.0458004\pi\) |
−0.619013 | + | 0.785381i | \(0.712467\pi\) | |||||||
\(644\) | 10.7121 | + | 18.5540i | 0.422118 | + | 0.731129i | ||||
\(645\) | −19.0937 | + | 6.25729i | −0.751815 | + | 0.246381i | ||||
\(646\) | −28.0012 | + | 48.4995i | −1.10169 | + | 1.90819i | ||||
\(647\) | −26.7277 | −1.05078 | −0.525388 | − | 0.850863i | \(-0.676080\pi\) | ||||
−0.525388 | + | 0.850863i | \(0.676080\pi\) | |||||||
\(648\) | 11.7520 | − | 37.4524i | 0.461663 | − | 1.47127i | ||||
\(649\) | 76.6007 | 3.00684 | ||||||||
\(650\) | 1.20515 | − | 2.08737i | 0.0472697 | − | 0.0818735i | ||||
\(651\) | −5.47519 | + | 1.79430i | −0.214590 | + | 0.0703241i | ||||
\(652\) | −27.9892 | − | 48.4787i | −1.09614 | − | 1.89857i | ||||
\(653\) | 5.52042 | + | 9.56164i | 0.216031 | + | 0.374176i | 0.953591 | − | 0.301105i | \(-0.0973556\pi\) |
−0.737560 | + | 0.675281i | \(0.764022\pi\) | |||||||
\(654\) | −11.5889 | + | 55.2065i | −0.453160 | + | 2.15875i | ||||
\(655\) | −8.54552 | + | 14.8013i | −0.333901 | + | 0.578333i | ||||
\(656\) | −31.0733 | −1.21321 | ||||||||
\(657\) | −14.9590 | + | 10.9842i | −0.583605 | + | 0.428535i | ||||
\(658\) | 1.53674 | 0.0599083 | ||||||||
\(659\) | 16.2685 | − | 28.1779i | 0.633730 | − | 1.09765i | −0.353052 | − | 0.935604i | \(-0.614856\pi\) |
0.986783 | − | 0.162050i | \(-0.0518105\pi\) | |||||||
\(660\) | −27.2908 | − | 24.4482i | −1.06229 | − | 0.951646i | ||||
\(661\) | −14.7590 | − | 25.5633i | −0.574058 | − | 0.994297i | −0.996143 | − | 0.0877414i | \(-0.972035\pi\) |
0.422085 | − | 0.906556i | \(-0.361298\pi\) | |||||||
\(662\) | 5.01275 | + | 8.68233i | 0.194826 | + | 0.337449i | ||||
\(663\) | 6.88491 | + | 6.16778i | 0.267388 | + | 0.239537i | ||||
\(664\) | 25.3222 | − | 43.8593i | 0.982692 | − | 1.70207i | ||||
\(665\) | 4.33195 | 0.167986 | ||||||||
\(666\) | −2.98913 | − | 27.1211i | −0.115827 | − | 1.05092i | ||||
\(667\) | −38.9073 | −1.50649 | ||||||||
\(668\) | 11.7770 | − | 20.3984i | 0.455667 | − | 0.789238i | ||||
\(669\) | 1.91330 | − | 9.11451i | 0.0739724 | − | 0.352387i | ||||
\(670\) | −11.6656 | − | 20.2054i | −0.450680 | − | 0.780601i | ||||
\(671\) | −8.22138 | − | 14.2399i | −0.317383 | − | 0.549724i | ||||
\(672\) | −2.86456 | + | 0.938758i | −0.110503 | + | 0.0362134i | ||||
\(673\) | −16.1731 | + | 28.0127i | −0.623428 | + | 1.07981i | 0.365415 | + | 0.930845i | \(0.380927\pi\) |
−0.988843 | + | 0.148964i | \(0.952406\pi\) | |||||||
\(674\) | −37.3591 | −1.43902 | ||||||||
\(675\) | 2.14937 | + | 4.73077i | 0.0827294 | + | 0.182087i | ||||
\(676\) | 3.80950 | 0.146519 | ||||||||
\(677\) | −24.2480 | + | 41.9988i | −0.931927 | + | 1.61415i | −0.151904 | + | 0.988395i | \(0.548540\pi\) |
−0.780023 | + | 0.625750i | \(0.784793\pi\) | |||||||
\(678\) | 26.5672 | − | 8.70647i | 1.02031 | − | 0.334370i | ||||
\(679\) | −2.92161 | − | 5.06038i | −0.112121 | − | 0.194199i | ||||
\(680\) | −11.6380 | − | 20.1576i | −0.446296 | − | 0.773008i | ||||
\(681\) | 1.87513 | − | 8.93270i | 0.0718553 | − | 0.342302i | ||||
\(682\) | 22.3735 | − | 38.7520i | 0.856725 | − | 1.48389i | ||||
\(683\) | −29.5722 | −1.13155 | −0.565774 | − | 0.824560i | \(-0.691423\pi\) | ||||
−0.565774 | + | 0.824560i | \(0.691423\pi\) | |||||||
\(684\) | −45.5563 | − | 20.0078i | −1.74189 | − | 0.765019i | ||||
\(685\) | 1.30510 | 0.0498653 | ||||||||
\(686\) | 15.6006 | − | 27.0210i | 0.595633 | − | 1.03167i | ||||
\(687\) | −0.210900 | − | 0.188933i | −0.00804636 | − | 0.00720825i | ||||
\(688\) | 16.7821 | + | 29.0675i | 0.639813 | + | 1.10819i | ||||
\(689\) | −0.0184902 | − | 0.0320259i | −0.000704419 | − | 0.00122009i | ||||
\(690\) | 17.5752 | + | 15.7446i | 0.669078 | + | 0.599388i | ||||
\(691\) | 11.7138 | − | 20.2888i | 0.445613 | − | 0.771824i | −0.552482 | − | 0.833525i | \(-0.686319\pi\) |
0.998095 | + | 0.0617009i | \(0.0196525\pi\) | |||||||
\(692\) | −17.6970 | −0.672739 | ||||||||
\(693\) | −15.1766 | − | 6.66542i | −0.576513 | − | 0.253198i | ||||
\(694\) | 76.0863 | 2.88820 | ||||||||
\(695\) | 10.9230 | − | 18.9192i | 0.414333 | − | 0.717646i | ||||
\(696\) | −10.6830 | + | 50.8913i | −0.404938 | + | 1.92903i | ||||
\(697\) | 28.6577 | + | 49.6366i | 1.08549 | + | 1.88012i | ||||
\(698\) | −8.53659 | − | 14.7858i | −0.323115 | − | 0.559651i | ||||
\(699\) | −15.9061 | + | 5.21265i | −0.601623 | + | 0.197160i | ||||
\(700\) | −1.89524 | + | 3.28265i | −0.0716333 | + | 0.124072i | ||||
\(701\) | 40.7864 | 1.54048 | 0.770241 | − | 0.637753i | \(-0.220136\pi\) | ||||
0.770241 | + | 0.637753i | \(0.220136\pi\) | |||||||
\(702\) | −7.28458 | + | 10.1878i | −0.274939 | + | 0.384514i | ||||
\(703\) | −16.4285 | −0.619611 | ||||||||
\(704\) | 27.7722 | − | 48.1028i | 1.04670 | − | 1.81294i | ||||
\(705\) | 1.05466 | − | 0.345629i | 0.0397210 | − | 0.0130171i | ||||
\(706\) | 21.8388 | + | 37.8259i | 0.821914 | + | 1.42360i | ||||
\(707\) | −2.31193 | − | 4.00439i | −0.0869492 | − | 0.150600i | ||||
\(708\) | −18.6990 | + | 89.0777i | −0.702752 | + | 3.34774i | ||||
\(709\) | −17.7413 | + | 30.7289i | −0.666289 | + | 1.15405i | 0.312645 | + | 0.949870i | \(0.398785\pi\) |
−0.978934 | + | 0.204177i | \(0.934548\pi\) | |||||||
\(710\) | 8.18376 | 0.307131 | ||||||||
\(711\) | 0.616702 | + | 5.59548i | 0.0231281 | + | 0.209847i | ||||
\(712\) | −14.7095 | −0.551262 | ||||||||
\(713\) | −9.44817 | + | 16.3647i | −0.353837 | + | 0.612863i | ||||
\(714\) | −16.5117 | − | 14.7919i | −0.617936 | − | 0.553573i | ||||
\(715\) | 2.77651 | + | 4.80905i | 0.103836 | + | 0.179848i | ||||
\(716\) | −10.7562 | − | 18.6303i | −0.401979 | − | 0.696247i | ||||
\(717\) | −8.77230 | − | 7.85859i | −0.327608 | − | 0.293484i | ||||
\(718\) | 5.19005 | − | 8.98943i | 0.193691 | − | 0.335482i | ||||
\(719\) | −34.7146 | −1.29464 | −0.647318 | − | 0.762220i | \(-0.724109\pi\) | ||||
−0.647318 | + | 0.762220i | \(0.724109\pi\) | |||||||
\(720\) | 6.99636 | − | 5.13735i | 0.260739 | − | 0.191458i | ||||
\(721\) | 6.91727 | 0.257613 | ||||||||
\(722\) | 0.0546053 | − | 0.0945792i | 0.00203220 | − | 0.00351987i | ||||
\(723\) | −0.285156 | + | 1.35841i | −0.0106051 | + | 0.0505200i | ||||
\(724\) | −38.3526 | − | 66.4287i | −1.42536 | − | 2.46880i | ||||
\(725\) | −3.44182 | − | 5.96140i | −0.127826 | − | 0.221401i | ||||
\(726\) | 78.6924 | − | 25.7886i | 2.92055 | − | 0.957106i | ||||
\(727\) | −12.4562 | + | 21.5748i | −0.461975 | + | 0.800165i | −0.999059 | − | 0.0433641i | \(-0.986192\pi\) |
0.537084 | + | 0.843529i | \(0.319526\pi\) | |||||||
\(728\) | −4.33965 | −0.160838 | ||||||||
\(729\) | −8.73163 | − | 25.5491i | −0.323394 | − | 0.946264i | ||||
\(730\) | −14.9106 | −0.551866 | ||||||||
\(731\) | 30.9550 | − | 53.6156i | 1.14491 | − | 1.98304i | ||||
\(732\) | 18.5662 | − | 6.08442i | 0.686227 | − | 0.224887i | ||||
\(733\) | −21.4879 | − | 37.2182i | −0.793675 | − | 1.37469i | −0.923677 | − | 0.383171i | \(-0.874832\pi\) |
0.130003 | − | 0.991514i | \(-0.458501\pi\) | |||||||
\(734\) | −15.3625 | − | 26.6087i | −0.567041 | − | 0.982144i | ||||
\(735\) | 2.13855 | − | 10.1875i | 0.0788815 | − | 0.375773i | ||||
\(736\) | −4.94318 | + | 8.56184i | −0.182208 | + | 0.315594i | ||||
\(737\) | 53.7521 | 1.97998 | ||||||||
\(738\) | −62.5948 | + | 45.9627i | −2.30415 | + | 1.69191i | ||||
\(739\) | 32.2456 | 1.18617 | 0.593087 | − | 0.805139i | \(-0.297909\pi\) | ||||
0.593087 | + | 0.805139i | \(0.297909\pi\) | |||||||
\(740\) | 7.18748 | − | 12.4491i | 0.264217 | − | 0.457637i | ||||
\(741\) | 5.61665 | + | 5.03163i | 0.206333 | + | 0.184841i | ||||
\(742\) | 0.0443441 | + | 0.0768062i | 0.00162792 | + | 0.00281964i | ||||
\(743\) | 3.03621 | + | 5.25886i | 0.111388 | + | 0.192929i | 0.916330 | − | 0.400424i | \(-0.131137\pi\) |
−0.804942 | + | 0.593353i | \(0.797804\pi\) | |||||||
\(744\) | 18.8111 | + | 16.8517i | 0.689647 | + | 0.617814i | ||||
\(745\) | 0.597375 | − | 1.03468i | 0.0218861 | − | 0.0379079i | ||||
\(746\) | −42.9935 | −1.57410 | ||||||||
\(747\) | −3.81627 | − | 34.6259i | −0.139630 | − | 1.26690i | ||||
\(748\) | 112.895 | 4.12786 | ||||||||
\(749\) | 5.62706 | − | 9.74635i | 0.205608 | − | 0.356124i | ||||
\(750\) | −0.857662 | + | 4.08570i | −0.0313174 | + | 0.149189i | ||||
\(751\) | −17.3274 | − | 30.0120i | −0.632286 | − | 1.09515i | −0.987083 | − | 0.160209i | \(-0.948783\pi\) |
0.354797 | − | 0.934943i | \(-0.384550\pi\) | |||||||
\(752\) | −0.926981 | − | 1.60558i | −0.0338035 | − | 0.0585494i | ||||
\(753\) | −42.5971 | + | 13.9597i | −1.55233 | + | 0.508720i | ||||
\(754\) | 8.29578 | − | 14.3687i | 0.302115 | − | 0.523278i | ||||
\(755\) | −7.00496 | −0.254936 | ||||||||
\(756\) | 11.4559 | − | 16.0216i | 0.416646 | − | 0.582699i | ||||
\(757\) | 3.21746 | 0.116940 | 0.0584702 | − | 0.998289i | \(-0.481378\pi\) | ||||
0.0584702 | + | 0.998289i | \(0.481378\pi\) | |||||||
\(758\) | −19.5197 | + | 33.8091i | −0.708988 | + | 1.22800i | ||||
\(759\) | −51.6596 | + | 16.9296i | −1.87512 | + | 0.614505i | ||||
\(760\) | −9.49418 | − | 16.4444i | −0.344390 | − | 0.596501i | ||||
\(761\) | −3.34188 | − | 5.78830i | −0.121143 | − | 0.209826i | 0.799076 | − | 0.601230i | \(-0.205323\pi\) |
−0.920219 | + | 0.391405i | \(0.871989\pi\) | |||||||
\(762\) | −3.74459 | + | 17.8383i | −0.135652 | + | 0.646215i | ||||
\(763\) | −6.72232 | + | 11.6434i | −0.243364 | + | 0.421520i | ||||
\(764\) | 59.8357 | 2.16478 | ||||||||
\(765\) | −14.6589 | − | 6.43802i | −0.529992 | − | 0.232767i | ||||
\(766\) | −5.75447 | −0.207918 | ||||||||
\(767\) | 6.89721 | − | 11.9463i | 0.249044 | − | 0.431357i | ||||
\(768\) | 38.2807 | + | 34.2934i | 1.38133 | + | 1.23746i | ||||
\(769\) | 9.80475 | + | 16.9823i | 0.353568 | + | 0.612398i | 0.986872 | − | 0.161505i | \(-0.0516349\pi\) |
−0.633304 | + | 0.773904i | \(0.718302\pi\) | |||||||
\(770\) | −6.65877 | − | 11.5333i | −0.239965 | − | 0.415632i | ||||
\(771\) | 27.6396 | + | 24.7607i | 0.995417 | + | 0.891736i | ||||
\(772\) | 5.40374 | − | 9.35955i | 0.194485 | − | 0.336858i | ||||
\(773\) | 34.1022 | 1.22657 | 0.613285 | − | 0.789862i | \(-0.289848\pi\) | ||||
0.613285 | + | 0.789862i | \(0.289848\pi\) | |||||||
\(774\) | 76.8020 | + | 33.7306i | 2.76059 | + | 1.21242i | ||||
\(775\) | −3.34322 | −0.120092 | ||||||||
\(776\) | −12.8064 | + | 22.1813i | −0.459722 | + | 0.796262i | ||||
\(777\) | 1.33601 | − | 6.36444i | 0.0479291 | − | 0.228323i | ||||
\(778\) | −37.0823 | − | 64.2284i | −1.32947 | − | 2.30270i | ||||
\(779\) | 23.3787 | + | 40.4931i | 0.837629 | + | 1.45082i | ||||
\(780\) | −6.27014 | + | 2.05482i | −0.224507 | + | 0.0735742i | ||||
\(781\) | −9.42720 | + | 16.3284i | −0.337332 | + | 0.584275i | ||||
\(782\) | −72.7044 | −2.59991 | ||||||||
\(783\) | 14.7955 | + | 32.5649i | 0.528748 | + | 1.16377i | ||||
\(784\) | −17.3887 | −0.621025 | ||||||||
\(785\) | −0.0276524 | + | 0.0478954i | −0.000986957 | + | 0.00170946i | ||||
\(786\) | 67.8027 | − | 22.2199i | 2.41844 | − | 0.792558i | ||||
\(787\) | 11.7447 | + | 20.3424i | 0.418653 | + | 0.725129i | 0.995804 | − | 0.0915087i | \(-0.0291689\pi\) |
−0.577151 | + | 0.816637i | \(0.695836\pi\) | |||||||
\(788\) | 28.3041 | + | 49.0241i | 1.00829 | + | 1.74641i | ||||
\(789\) | 10.9941 | − | 52.3734i | 0.391401 | − | 1.86454i | ||||
\(790\) | −2.26140 | + | 3.91686i | −0.0804570 | + | 0.139356i | ||||
\(791\) | 6.66336 | 0.236922 | ||||||||
\(792\) | 7.95968 | + | 72.2200i | 0.282835 | + | 2.56623i | ||||
\(793\) | −2.96105 | −0.105150 | ||||||||
\(794\) | −36.2035 | + | 62.7063i | −1.28481 | + | 2.22536i | ||||
\(795\) | 0.0477079 | + | 0.0427387i | 0.00169202 | + | 0.00151578i | ||||
\(796\) | 46.0939 | + | 79.8369i | 1.63375 | + | 2.82975i | ||||
\(797\) | −1.84196 | − | 3.19037i | −0.0652457 | − | 0.113009i | 0.831557 | − | 0.555439i | \(-0.187450\pi\) |
−0.896803 | + | 0.442430i | \(0.854116\pi\) | |||||||
\(798\) | −13.4701 | − | 12.0671i | −0.476838 | − | 0.427171i | ||||
\(799\) | −1.70983 | + | 2.96152i | −0.0604896 | + | 0.104771i | ||||
\(800\) | −1.74914 | −0.0618413 | ||||||||
\(801\) | −8.15540 | + | 5.98842i | −0.288157 | + | 0.211590i | ||||
\(802\) | 13.0613 | 0.461210 | ||||||||
\(803\) | 17.1761 | − | 29.7499i | 0.606131 | − | 1.04985i | ||||
\(804\) | −13.1214 | + | 62.5074i | −0.462757 | + | 2.20447i | ||||
\(805\) | 2.81195 | + | 4.87044i | 0.0991083 | + | 0.171661i | ||||
\(806\) | −4.02907 | − | 6.97855i | −0.141918 | − | 0.245809i | ||||
\(807\) | 10.5012 | − | 3.44140i | 0.369660 | − | 0.121143i | ||||
\(808\) | −10.1340 | + | 17.5525i | −0.356511 | + | 0.617496i | ||||
\(809\) | 11.7708 | 0.413838 | 0.206919 | − | 0.978358i | \(-0.433656\pi\) | ||||
0.206919 | + | 0.978358i | \(0.433656\pi\) | |||||||
\(810\) | 6.49461 | − | 20.6976i | 0.228197 | − | 0.727239i | ||||
\(811\) | −31.5622 | −1.10830 | −0.554150 | − | 0.832417i | \(-0.686957\pi\) | ||||
−0.554150 | + | 0.832417i | \(0.686957\pi\) | |||||||
\(812\) | −13.0461 | + | 22.5966i | −0.457829 | + | 0.792984i | ||||
\(813\) | −30.1705 | + | 9.88729i | −1.05812 | + | 0.346763i | ||||
\(814\) | 25.2526 | + | 43.7389i | 0.885105 | + | 1.53305i | ||||
\(815\) | −7.34720 | − | 12.7257i | −0.257361 | − | 0.445763i | ||||
\(816\) | −5.49441 | + | 26.1740i | −0.192343 | + | 0.916275i | ||||
\(817\) | 25.2528 | − | 43.7392i | 0.883485 | − | 1.53024i | ||||
\(818\) | 6.91861 | 0.241904 | ||||||||
\(819\) | −2.40603 | + | 1.76672i | −0.0840736 | + | 0.0617343i | ||||
\(820\) | −40.9129 | −1.42874 | ||||||||
\(821\) | 12.2747 | − | 21.2604i | 0.428391 | − | 0.741994i | −0.568340 | − | 0.822794i | \(-0.692414\pi\) |
0.996730 | + | 0.0807998i | \(0.0257474\pi\) | |||||||
\(822\) | −4.05819 | − | 3.63550i | −0.141546 | − | 0.126803i | ||||
\(823\) | 6.38744 | + | 11.0634i | 0.222652 | + | 0.385645i | 0.955613 | − | 0.294626i | \(-0.0951952\pi\) |
−0.732960 | + | 0.680272i | \(0.761862\pi\) | |||||||
\(824\) | −15.1603 | − | 26.2585i | −0.528135 | − | 0.914757i | ||||
\(825\) | −7.16388 | − | 6.41770i | −0.249414 | − | 0.223436i | ||||
\(826\) | −16.5413 | + | 28.6503i | −0.575544 | + | 0.996871i | ||||
\(827\) | 23.9345 | 0.832283 | 0.416141 | − | 0.909300i | \(-0.363382\pi\) | ||||
0.416141 | + | 0.909300i | \(0.363382\pi\) | |||||||
\(828\) | −7.07650 | − | 64.2067i | −0.245925 | − | 2.23134i | ||||
\(829\) | −14.8456 | −0.515609 | −0.257805 | − | 0.966197i | \(-0.582999\pi\) | ||||
−0.257805 | + | 0.966197i | \(0.582999\pi\) | |||||||
\(830\) | 13.9940 | − | 24.2383i | 0.485739 | − | 0.841324i | ||||
\(831\) | 11.1737 | − | 53.2289i | 0.387611 | − | 1.84649i | ||||
\(832\) | −5.00128 | − | 8.66247i | −0.173388 | − | 0.300317i | ||||
\(833\) | 16.0369 | + | 27.7767i | 0.555646 | + | 0.962407i | ||||
\(834\) | −86.6664 | + | 28.4018i | −3.00101 | + | 0.983475i | ||||
\(835\) | 3.09149 | − | 5.35461i | 0.106985 | − | 0.185304i | ||||
\(836\) | 92.0992 | 3.18532 | ||||||||
\(837\) | 17.2900 | + | 1.68489i | 0.597629 | + | 0.0582385i | ||||
\(838\) | 2.06866 | 0.0714606 | ||||||||
\(839\) | −23.3906 | + | 40.5137i | −0.807534 | + | 1.39869i | 0.107033 | + | 0.994255i | \(0.465865\pi\) |
−0.914567 | + | 0.404434i | \(0.867469\pi\) | |||||||
\(840\) | 7.14272 | − | 2.34077i | 0.246447 | − | 0.0807643i | ||||
\(841\) | −9.19222 | − | 15.9214i | −0.316973 | − | 0.549014i | ||||
\(842\) | 6.52639 | + | 11.3040i | 0.224914 | + | 0.389563i | ||||
\(843\) | 10.8196 | − | 51.5419i | 0.372646 | − | 1.77520i | ||||
\(844\) | 5.69499 | − | 9.86401i | 0.196030 | − | 0.339533i | ||||
\(845\) | 1.00000 | 0.0344010 | ||||||||
\(846\) | −4.24225 | − | 1.86315i | −0.145852 | − | 0.0640565i | ||||
\(847\) | 19.7369 | 0.678169 | ||||||||
\(848\) | 0.0534978 | − | 0.0926610i | 0.00183712 | − | 0.00318199i | ||||
\(849\) | −21.5427 | − | 19.2988i | −0.739344 | − | 0.662334i | ||||
\(850\) | −6.43159 | − | 11.1398i | −0.220602 | − | 0.382093i | ||||
\(851\) | −10.6640 | − | 18.4706i | −0.365558 | − | 0.633165i | ||||
\(852\) | −16.6867 | − | 14.9487i | −0.571678 | − | 0.512133i | ||||
\(853\) | −6.36803 | + | 11.0298i | −0.218037 | + | 0.377652i | −0.954208 | − | 0.299144i | \(-0.903299\pi\) |
0.736171 | + | 0.676796i | \(0.236632\pi\) | |||||||
\(854\) | 7.10135 | 0.243003 | ||||||||
\(855\) | −11.9586 | − | 5.25208i | −0.408975 | − | 0.179617i | ||||
\(856\) | −49.3304 | −1.68608 | ||||||||
\(857\) | 15.3889 | − | 26.6543i | 0.525675 | − | 0.910495i | −0.473878 | − | 0.880590i | \(-0.657146\pi\) |
0.999553 | − | 0.0299048i | \(-0.00952040\pi\) | |||||||
\(858\) | 4.76261 | − | 22.6880i | 0.162593 | − | 0.774554i | ||||
\(859\) | −11.6416 | − | 20.1638i | −0.397205 | − | 0.687979i | 0.596175 | − | 0.802854i | \(-0.296686\pi\) |
−0.993380 | + | 0.114876i | \(0.963353\pi\) | |||||||
\(860\) | 22.0963 | + | 38.2720i | 0.753479 | + | 1.30506i | ||||
\(861\) | −17.5884 | + | 5.76398i | −0.599411 | + | 0.196436i | ||||
\(862\) | 21.1945 | − | 36.7100i | 0.721888 | − | 1.25035i | ||||
\(863\) | −45.1287 | −1.53620 | −0.768099 | − | 0.640331i | \(-0.778797\pi\) | ||||
−0.768099 | + | 0.640331i | \(0.778797\pi\) | |||||||
\(864\) | 9.04593 | + | 0.881518i | 0.307749 | + | 0.0299899i | ||||
\(865\) | −4.64549 | −0.157951 | ||||||||
\(866\) | −20.0713 | + | 34.7646i | −0.682052 | + | 1.18135i | ||||
\(867\) | 18.8971 | − | 6.19284i | 0.641778 | − | 0.210320i | ||||
\(868\) | 6.33620 | + | 10.9746i | 0.215064 | + | 0.372503i | ||||
\(869\) | −5.20999 | − | 9.02397i | −0.176737 | − | 0.306117i | ||||
\(870\) | −5.90383 | + | 28.1245i | −0.200159 | + | 0.953508i | ||||
\(871\) | 4.83990 | − | 8.38295i | 0.163994 | − | 0.284046i | ||||
\(872\) | 58.9323 | 1.99570 | ||||||||
\(873\) | 1.93003 | + | 17.5116i | 0.0653217 | + | 0.592679i | ||||
\(874\) | −59.3117 | −2.00625 | ||||||||
\(875\) | −0.497502 | + | 0.861700i | −0.0168187 | + | 0.0291308i | ||||
\(876\) | 30.4028 | + | 27.2360i | 1.02721 | + | 0.920221i | ||||
\(877\) | 1.32013 | + | 2.28653i | 0.0445775 | + | 0.0772105i | 0.887453 | − | 0.460898i | \(-0.152473\pi\) |
−0.842876 | + | 0.538108i | \(0.819139\pi\) | |||||||
\(878\) | −47.6985 | − | 82.6163i | −1.60975 | − | 2.78816i | ||||
\(879\) | −9.40797 | − | 8.42804i | −0.317323 | − | 0.284271i | ||||
\(880\) | −8.03331 | + | 13.9141i | −0.270803 | + | 0.469044i | ||||
\(881\) | 39.1892 | 1.32032 | 0.660159 | − | 0.751126i | \(-0.270489\pi\) | ||||
0.660159 | + | 0.751126i | \(0.270489\pi\) | |||||||
\(882\) | −35.0282 | + | 25.7208i | −1.17946 | + | 0.866066i | ||||
\(883\) | 2.73584 | 0.0920684 | 0.0460342 | − | 0.998940i | \(-0.485342\pi\) | ||||
0.0460342 | + | 0.998940i | \(0.485342\pi\) | |||||||
\(884\) | 10.1652 | − | 17.6067i | 0.341894 | − | 0.592177i | ||||
\(885\) | −4.90852 | + | 23.3830i | −0.164998 | + | 0.786011i | ||||
\(886\) | 35.2049 | + | 60.9766i | 1.18273 | + | 2.04855i | ||||
\(887\) | −13.5967 | − | 23.5502i | −0.456534 | − | 0.790740i | 0.542241 | − | 0.840223i | \(-0.317576\pi\) |
−0.998775 | + | 0.0494832i | \(0.984243\pi\) | |||||||
\(888\) | −27.0880 | + | 8.87712i | −0.909013 | + | 0.297897i | ||||
\(889\) | −2.17212 | + | 3.76222i | −0.0728505 | + | 0.126181i | ||||
\(890\) | −8.12902 | −0.272485 | ||||||||
\(891\) | 33.8148 | + | 36.8005i | 1.13284 | + | 1.23286i | ||||
\(892\) | −20.4835 | −0.685839 | ||||||||
\(893\) | −1.39487 | + | 2.41599i | −0.0466775 | + | 0.0808479i | ||||
\(894\) | −4.73975 | + | 1.55329i | −0.158521 | + | 0.0519496i | ||||
\(895\) | −2.82352 | − | 4.89048i | −0.0943799 | − | 0.163471i | ||||
\(896\) | 10.2539 | + | 17.7603i | 0.342560 | + | 0.593330i | ||||
\(897\) | −2.01122 | + | 9.58097i | −0.0671526 | + | 0.319899i | ||||
\(898\) | 23.3411 | − | 40.4280i | 0.778903 | − | 1.34910i | ||||
\(899\) | −23.0135 | −0.767543 | ||||||||
\(900\) | 9.21181 | − | 6.76413i | 0.307060 | − | 0.225471i | ||||
\(901\) | −0.197356 | −0.00657487 | ||||||||
\(902\) | 71.8722 | − | 124.486i | 2.39308 | − | 4.14494i | ||||
\(903\) | 14.8911 | + | 13.3400i | 0.495544 | + | 0.443929i | ||||
\(904\) | −14.6038 | − | 25.2946i | −0.485716 | − | 0.841285i | ||||
\(905\) | −10.0676 | − | 17.4376i | −0.334659 | − | 0.579646i | ||||
\(906\) | 21.7818 | + | 19.5130i | 0.723653 | + | 0.648278i | ||||
\(907\) | −20.4996 | + | 35.5063i | −0.680677 | + | 1.17897i | 0.294098 | + | 0.955775i | \(0.404981\pi\) |
−0.974775 | + | 0.223191i | \(0.928353\pi\) | |||||||
\(908\) | −20.0749 | −0.666210 | ||||||||
\(909\) | 1.52728 | + | 13.8573i | 0.0506565 | + | 0.459618i | ||||
\(910\) | −2.39825 | −0.0795013 | ||||||||
\(911\) | 9.60507 | − | 16.6365i | 0.318230 | − | 0.551191i | −0.661889 | − | 0.749602i | \(-0.730245\pi\) |
0.980119 | + | 0.198411i | \(0.0635782\pi\) | |||||||
\(912\) | −4.48229 | + | 21.3526i | −0.148424 | + | 0.707055i | ||||
\(913\) | 32.2405 | + | 55.8421i | 1.06700 | + | 1.84810i | ||||
\(914\) | 16.8134 | + | 29.1216i | 0.556137 | + | 0.963257i | ||||
\(915\) | 4.87366 | − | 1.59717i | 0.161118 | − | 0.0528007i | ||||
\(916\) | −0.311384 | + | 0.539334i | −0.0102884 | + | 0.0178201i | ||||
\(917\) | 17.0057 | 0.561576 | ||||||||
\(918\) | 27.6478 | + | 60.8527i | 0.912512 | + | 2.00844i | ||||
\(919\) | 55.3492 | 1.82580 | 0.912901 | − | 0.408180i | \(-0.133837\pi\) | ||||
0.912901 | + | 0.408180i | \(0.133837\pi\) | |||||||
\(920\) | 12.3257 | − | 21.3487i | 0.406366 | − | 0.703847i | ||||
\(921\) | 1.01817 | − | 0.333671i | 0.0335500 | − | 0.0109948i | ||||
\(922\) | −25.7479 | − | 44.5967i | −0.847962 | − | 1.46871i | ||||
\(923\) | 1.69767 | + | 2.94045i | 0.0558795 | + | 0.0967862i | ||||
\(924\) | −7.48978 | + | 35.6796i | −0.246396 | + | 1.17377i | ||||
\(925\) | 1.88672 | − | 3.26790i | 0.0620351 | − | 0.107448i | ||||
\(926\) | 80.9388 | 2.65981 | ||||||||
\(927\) | −19.0955 | − | 8.38654i | −0.627179 | − | 0.275450i | ||||
\(928\) | −12.0404 | −0.395246 | ||||||||
\(929\) | 11.2236 | − | 19.4398i | 0.368234 | − | 0.637800i | −0.621056 | − | 0.783767i | \(-0.713296\pi\) |
0.989290 | + | 0.145967i | \(0.0466292\pi\) | |||||||
\(930\) | 10.3957 | + | 9.31289i | 0.340888 | + | 0.305382i | ||||
\(931\) | 13.0828 | + | 22.6601i | 0.428771 | + | 0.742653i | ||||
\(932\) | 18.4074 | + | 31.8825i | 0.602954 | + | 1.04435i | ||||
\(933\) | 13.6969 | + | 12.2703i | 0.448417 | + | 0.401710i | ||||
\(934\) | −27.8975 | + | 48.3198i | −0.912833 | + | 1.58107i | ||||
\(935\) | 29.6352 | 0.969174 | ||||||||
\(936\) | 11.9798 | + | 5.26141i | 0.391573 | + | 0.171975i | ||||
\(937\) | 13.3539 | 0.436254 | 0.218127 | − | 0.975920i | \(-0.430005\pi\) | ||||
0.218127 | + | 0.975920i | \(0.430005\pi\) | |||||||
\(938\) | −11.6073 | + | 20.1044i | −0.378992 | + | 0.656433i | ||||
\(939\) | −3.24197 | + | 15.4440i | −0.105798 | + | 0.503996i | ||||
\(940\) | −1.22052 | − | 2.11400i | −0.0398089 | − | 0.0689510i | ||||
\(941\) | 3.34940 | + | 5.80134i | 0.109187 | + | 0.189118i | 0.915441 | − | 0.402451i | \(-0.131842\pi\) |
−0.806254 | + | 0.591570i | \(0.798508\pi\) | |||||||
\(942\) | 0.219403 | − | 0.0719014i | 0.00714852 | − | 0.00234267i | ||||
\(943\) | −30.3511 | + | 52.5697i | −0.988369 | + | 1.71191i | ||||
\(944\) | 39.9116 | 1.29901 | ||||||||
\(945\) | 3.00718 | − | 4.20568i | 0.0978237 | − | 0.136811i | ||||
\(946\) | −155.267 | −5.04818 | ||||||||
\(947\) | −15.7048 | + | 27.2016i | −0.510339 | + | 0.883933i | 0.489589 | + | 0.871953i | \(0.337147\pi\) |
−0.999928 | + | 0.0119799i | \(0.996187\pi\) | |||||||
\(948\) | 11.7656 | − | 3.85577i | 0.382130 | − | 0.125230i | ||||
\(949\) | −3.09311 | − | 5.35743i | −0.100407 | − | 0.173909i | ||||
\(950\) | −5.24684 | − | 9.08779i | −0.170230 | − | 0.294847i | ||||
\(951\) | 1.91333 | − | 9.11467i | 0.0620441 | − | 0.295564i | ||||
\(952\) | −11.5799 | + | 20.0569i | −0.375305 | + | 0.650048i | ||||
\(953\) | 5.32025 | 0.172340 | 0.0861699 | − | 0.996280i | \(-0.472537\pi\) | ||||
0.0861699 | + | 0.996280i | \(0.472537\pi\) | |||||||
\(954\) | −0.0292939 | − | 0.265791i | −0.000948426 | − | 0.00860529i | ||||
\(955\) | 15.7069 | 0.508265 | ||||||||
\(956\) | −12.9519 | + | 22.4333i | −0.418894 | + | 0.725545i | ||||
\(957\) | −49.3135 | − | 44.1771i | −1.59408 | − | 1.42804i | ||||
\(958\) | 44.2500 | + | 76.6433i | 1.42965 | + | 2.47623i | ||||
\(959\) | −0.649291 | − | 1.12460i | −0.0209667 | − | 0.0363154i | ||||
\(960\) | 12.9042 | + | 11.5601i | 0.416480 | + | 0.373100i | ||||
\(961\) | 9.91144 | − | 17.1671i | 0.319724 | − | 0.553778i | ||||
\(962\) | 9.09511 | 0.293238 | ||||||||
\(963\) | −27.3503 | + | 20.0830i | −0.881352 | + | 0.647167i | ||||
\(964\) | 3.05284 | 0.0983254 | ||||||||
\(965\) | 1.41849 | − | 2.45690i | 0.0456628 | − | 0.0790903i | ||||
\(966\) | 4.82341 | − | 22.9776i | 0.155191 | − | 0.739291i | ||||
\(967\) | 14.0226 | + | 24.2879i | 0.450937 | + | 0.781046i | 0.998444 | − | 0.0557549i | \(-0.0177566\pi\) |
−0.547507 | + | 0.836801i | \(0.684423\pi\) | |||||||
\(968\) | −43.2567 | − | 74.9228i | −1.39032 | − | 2.40811i | ||||
\(969\) | 38.2425 | − | 12.5326i | 1.22853 | − | 0.402606i | ||||
\(970\) | −7.07728 | + | 12.2582i | −0.227238 | + | 0.393587i | ||||
\(971\) | 42.9317 | 1.37774 | 0.688871 | − | 0.724884i | \(-0.258107\pi\) | ||||
0.688871 | + | 0.724884i | \(0.258107\pi\) | |||||||
\(972\) | −51.0492 | + | 30.3392i | −1.63741 | + | 0.973132i | ||||
\(973\) | −21.7369 | −0.696853 | ||||||||
\(974\) | 21.5975 | − | 37.4080i | 0.692029 | − | 1.19863i | ||||
\(975\) | −1.64592 | + | 0.539392i | −0.0527117 | + | 0.0172744i | ||||
\(976\) | −4.28362 | − | 7.41946i | −0.137115 | − | 0.237491i | ||||
\(977\) | 2.47785 | + | 4.29176i | 0.0792733 | + | 0.137305i | 0.902937 | − | 0.429774i | \(-0.141407\pi\) |
−0.823663 | + | 0.567079i | \(0.808073\pi\) | |||||||
\(978\) | −12.6028 | + | 60.0369i | −0.402994 | + | 1.91977i | ||||
\(979\) | 9.36414 | − | 16.2192i | 0.299279 | − | 0.518367i | ||||
\(980\) | −22.8950 | −0.731354 | ||||||||
\(981\) | 32.6739 | − | 23.9921i | 1.04320 | − | 0.766008i | ||||
\(982\) | 3.70827 | 0.118336 | ||||||||
\(983\) | 10.4998 | − | 18.1862i | 0.334893 | − | 0.580051i | −0.648572 | − | 0.761154i | \(-0.724633\pi\) |
0.983464 | + | 0.181103i | \(0.0579667\pi\) | |||||||
\(984\) | 60.4283 | + | 54.1342i | 1.92639 | + | 1.72573i | ||||
\(985\) | 7.42986 | + | 12.8689i | 0.236735 | + | 0.410037i | ||||
\(986\) | −44.2727 | − | 76.6826i | −1.40993 | − | 2.44207i | ||||
\(987\) | −0.822526 | − | 0.736853i | −0.0261813 | − | 0.0234543i | ||||
\(988\) | 8.29272 | − | 14.3634i | 0.263826 | − | 0.456961i | ||||
\(989\) | 65.5684 | 2.08495 | ||||||||
\(990\) | 4.39882 | + | 39.9115i | 0.139804 | + | 1.26847i | ||||
\(991\) | −40.7367 | −1.29404 | −0.647022 | − | 0.762472i | \(-0.723986\pi\) | ||||
−0.647022 | + | 0.762472i | \(0.723986\pi\) | |||||||
\(992\) | −2.92387 | + | 5.06430i | −0.0928331 | + | 0.160792i | ||||
\(993\) | 1.48007 | − | 7.05071i | 0.0469687 | − | 0.223748i | ||||
\(994\) | −4.07144 | − | 7.05195i | −0.129138 | − | 0.223674i | ||||
\(995\) | 12.0997 | + | 20.9573i | 0.383586 | + | 0.664391i | ||||
\(996\) | −72.8081 | + | 23.8603i | −2.30701 | + | 0.756041i | ||||
\(997\) | 12.8223 | − | 22.2089i | 0.406087 | − | 0.703363i | −0.588361 | − | 0.808599i | \(-0.700226\pi\) |
0.994447 | + | 0.105236i | \(0.0335598\pi\) | |||||||
\(998\) | −51.6382 | −1.63458 | ||||||||
\(999\) | −11.4044 | + | 15.9496i | −0.360820 | + | 0.504623i |
(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 | 585.2.i.g.196.2 | ✓ | 26 | |
3.2 | odd | 2 | 1755.2.i.g.586.12 | 26 | |||
9.2 | odd | 6 | 5265.2.a.bh.1.2 | 13 | |||
9.4 | even | 3 | inner | 585.2.i.g.391.2 | yes | 26 | |
9.5 | odd | 6 | 1755.2.i.g.1171.12 | 26 | |||
9.7 | even | 3 | 5265.2.a.bg.1.12 | 13 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.i.g.196.2 | ✓ | 26 | 1.1 | even | 1 | trivial | |
585.2.i.g.391.2 | yes | 26 | 9.4 | even | 3 | inner | |
1755.2.i.g.586.12 | 26 | 3.2 | odd | 2 | |||
1755.2.i.g.1171.12 | 26 | 9.5 | odd | 6 | |||
5265.2.a.bg.1.12 | 13 | 9.7 | even | 3 | |||
5265.2.a.bh.1.2 | 13 | 9.2 | odd | 6 |