Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(4,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.s (of order \(10\), 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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 49.3 | ||
Character | \(\chi\) | \(=\) | 165.49 |
Dual form | 165.2.s.a.64.3 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.00341 | + | 0.650947i | −1.41662 | + | 0.460289i | −0.914528 | − | 0.404523i | \(-0.867438\pi\) |
−0.502096 | + | 0.864812i | \(0.667438\pi\) | |||||||
\(3\) | 0.587785 | − | 0.809017i | 0.339358 | − | 0.467086i | ||||
\(4\) | 1.97188 | − | 1.43266i | 0.985942 | − | 0.716328i | ||||
\(5\) | −2.23165 | + | 0.140493i | −0.998024 | + | 0.0628303i | ||||
\(6\) | −0.650947 | + | 2.00341i | −0.265748 | + | 0.817888i | ||||
\(7\) | 1.94929 | + | 2.68296i | 0.736761 | + | 1.01407i | 0.998798 | + | 0.0490073i | \(0.0156058\pi\) |
−0.262037 | + | 0.965058i | \(0.584394\pi\) | |||||||
\(8\) | −0.541555 | + | 0.745386i | −0.191469 | + | 0.263534i | ||||
\(9\) | −0.309017 | − | 0.951057i | −0.103006 | − | 0.317019i | ||||
\(10\) | 4.37946 | − | 1.73415i | 1.38491 | − | 0.548387i | ||||
\(11\) | 3.31267 | + | 0.162019i | 0.998806 | + | 0.0488505i | ||||
\(12\) | − | 2.43738i | − | 0.703611i | ||||||
\(13\) | 2.37658 | − | 0.772198i | 0.659145 | − | 0.214169i | 0.0397029 | − | 0.999212i | \(-0.487359\pi\) |
0.619442 | + | 0.785042i | \(0.287359\pi\) | |||||||
\(14\) | −5.65169 | − | 4.10619i | −1.51048 | − | 1.09743i | ||||
\(15\) | −1.19807 | + | 1.88802i | −0.309340 | + | 0.487485i | ||||
\(16\) | −0.906636 | + | 2.79034i | −0.226659 | + | 0.697584i | ||||
\(17\) | 6.47687 | + | 2.10446i | 1.57087 | + | 0.510408i | 0.959685 | − | 0.281078i | \(-0.0906920\pi\) |
0.611188 | + | 0.791486i | \(0.290692\pi\) | |||||||
\(18\) | 1.23818 | + | 1.70420i | 0.291841 | + | 0.401684i | ||||
\(19\) | −0.928503 | − | 0.674597i | −0.213013 | − | 0.154763i | 0.476163 | − | 0.879357i | \(-0.342027\pi\) |
−0.689176 | + | 0.724594i | \(0.742027\pi\) | |||||||
\(20\) | −4.19927 | + | 3.47422i | −0.938986 | + | 0.776860i | ||||
\(21\) | 3.31633 | 0.723682 | ||||||||
\(22\) | −6.74209 | + | 1.83178i | −1.43742 | + | 0.390537i | ||||
\(23\) | 5.89026i | 1.22820i | 0.789226 | + | 0.614102i | \(0.210482\pi\) | ||||
−0.789226 | + | 0.614102i | \(0.789518\pi\) | |||||||
\(24\) | 0.284712 | + | 0.876254i | 0.0581167 | + | 0.178865i | ||||
\(25\) | 4.96052 | − | 0.627062i | 0.992105 | − | 0.125412i | ||||
\(26\) | −4.25861 | + | 3.09406i | −0.835181 | + | 0.606795i | ||||
\(27\) | −0.951057 | − | 0.309017i | −0.183031 | − | 0.0594703i | ||||
\(28\) | 7.68753 | + | 2.49783i | 1.45281 | + | 0.472046i | ||||
\(29\) | −0.908175 | + | 0.659827i | −0.168644 | + | 0.122527i | −0.668906 | − | 0.743347i | \(-0.733237\pi\) |
0.500262 | + | 0.865874i | \(0.333237\pi\) | |||||||
\(30\) | 1.17122 | − | 4.56236i | 0.213835 | − | 0.832970i | ||||
\(31\) | −0.338908 | − | 1.04305i | −0.0608697 | − | 0.187338i | 0.915998 | − | 0.401183i | \(-0.131401\pi\) |
−0.976867 | + | 0.213846i | \(0.931401\pi\) | |||||||
\(32\) | − | 8.02306i | − | 1.41829i | ||||||
\(33\) | 2.07821 | − | 2.58477i | 0.361770 | − | 0.449951i | ||||
\(34\) | −14.3457 | −2.46027 | ||||||||
\(35\) | −4.72706 | − | 5.71358i | −0.799020 | − | 0.965771i | ||||
\(36\) | −1.97188 | − | 1.43266i | −0.328647 | − | 0.238776i | ||||
\(37\) | −6.78238 | − | 9.33514i | −1.11502 | − | 1.53469i | −0.813812 | − | 0.581128i | \(-0.802612\pi\) |
−0.301203 | − | 0.953560i | \(-0.597388\pi\) | |||||||
\(38\) | 2.29930 | + | 0.747087i | 0.372995 | + | 0.121194i | ||||
\(39\) | 0.772198 | − | 2.37658i | 0.123651 | − | 0.380558i | ||||
\(40\) | 1.10384 | − | 1.73953i | 0.174532 | − | 0.275043i | ||||
\(41\) | 0.754463 | + | 0.548149i | 0.117827 | + | 0.0856066i | 0.645138 | − | 0.764066i | \(-0.276800\pi\) |
−0.527311 | + | 0.849672i | \(0.676800\pi\) | |||||||
\(42\) | −6.64396 | + | 2.15875i | −1.02519 | + | 0.333103i | ||||
\(43\) | 0.552188i | 0.0842079i | 0.999113 | + | 0.0421040i | \(0.0134061\pi\) | ||||
−0.999113 | + | 0.0421040i | \(0.986594\pi\) | |||||||
\(44\) | 6.76431 | − | 4.42643i | 1.01976 | − | 0.667309i | ||||
\(45\) | 0.823234 | + | 2.07901i | 0.122721 | + | 0.309921i | ||||
\(46\) | −3.83425 | − | 11.8006i | −0.565329 | − | 1.73990i | ||||
\(47\) | 1.25449 | − | 1.72666i | 0.182987 | − | 0.251860i | −0.707663 | − | 0.706551i | \(-0.750250\pi\) |
0.890649 | + | 0.454691i | \(0.150250\pi\) | |||||||
\(48\) | 1.72452 | + | 2.37360i | 0.248913 | + | 0.342600i | ||||
\(49\) | −1.23546 | + | 3.80234i | −0.176494 | + | 0.543192i | ||||
\(50\) | −9.52978 | + | 4.48530i | −1.34771 | + | 0.634317i | ||||
\(51\) | 5.50956 | − | 4.00293i | 0.771493 | − | 0.560522i | ||||
\(52\) | 3.58005 | − | 4.92751i | 0.496463 | − | 0.683323i | ||||
\(53\) | −11.0661 | + | 3.59560i | −1.52005 | + | 0.493893i | −0.945789 | − | 0.324781i | \(-0.894709\pi\) |
−0.574258 | + | 0.818674i | \(0.694709\pi\) | |||||||
\(54\) | 2.10651 | 0.286660 | ||||||||
\(55\) | −7.41547 | + | 0.103836i | −0.999902 | + | 0.0140013i | ||||
\(56\) | −3.05549 | −0.408307 | ||||||||
\(57\) | −1.09152 | + | 0.354657i | −0.144575 | + | 0.0469754i | ||||
\(58\) | 1.38993 | − | 1.91308i | 0.182507 | − | 0.251199i | ||||
\(59\) | 6.79443 | − | 4.93644i | 0.884559 | − | 0.642670i | −0.0498947 | − | 0.998754i | \(-0.515889\pi\) |
0.934454 | + | 0.356085i | \(0.115889\pi\) | |||||||
\(60\) | 0.342435 | + | 5.43938i | 0.0442081 | + | 0.702221i | ||||
\(61\) | −2.53800 | + | 7.81115i | −0.324957 | + | 1.00012i | 0.646503 | + | 0.762912i | \(0.276231\pi\) |
−0.971460 | + | 0.237204i | \(0.923769\pi\) | |||||||
\(62\) | 1.35794 | + | 1.86905i | 0.172459 | + | 0.237369i | ||||
\(63\) | 1.94929 | − | 2.68296i | 0.245587 | − | 0.338022i | ||||
\(64\) | 3.40931 | + | 10.4928i | 0.426164 | + | 1.31160i | ||||
\(65\) | −5.19521 | + | 2.05717i | −0.644386 | + | 0.255160i | ||||
\(66\) | −2.48096 | + | 6.53116i | −0.305385 | + | 0.803930i | ||||
\(67\) | 4.15419i | 0.507515i | 0.967268 | + | 0.253757i | \(0.0816665\pi\) | ||||
−0.967268 | + | 0.253757i | \(0.918334\pi\) | |||||||
\(68\) | 15.7866 | − | 5.12938i | 1.91441 | − | 0.622029i | ||||
\(69\) | 4.76532 | + | 3.46221i | 0.573677 | + | 0.416801i | ||||
\(70\) | 13.1895 | + | 8.36956i | 1.57644 | + | 1.00035i | ||||
\(71\) | 3.87323 | − | 11.9206i | 0.459668 | − | 1.41471i | −0.405897 | − | 0.913919i | \(-0.633041\pi\) |
0.865566 | − | 0.500795i | \(-0.166959\pi\) | |||||||
\(72\) | 0.876254 | + | 0.284712i | 0.103268 | + | 0.0335537i | ||||
\(73\) | 3.37248 | + | 4.64182i | 0.394719 | + | 0.543284i | 0.959409 | − | 0.282019i | \(-0.0910041\pi\) |
−0.564690 | + | 0.825303i | \(0.691004\pi\) | |||||||
\(74\) | 19.6646 | + | 14.2871i | 2.28596 | + | 1.66085i | ||||
\(75\) | 2.40842 | − | 4.38173i | 0.278100 | − | 0.505958i | ||||
\(76\) | −2.79736 | −0.320880 | ||||||||
\(77\) | 6.02265 | + | 9.20358i | 0.686344 | + | 1.04885i | ||||
\(78\) | 5.26393i | 0.596022i | ||||||||
\(79\) | 1.19514 | + | 3.67825i | 0.134463 | + | 0.413835i | 0.995506 | − | 0.0946970i | \(-0.0301882\pi\) |
−0.861043 | + | 0.508532i | \(0.830188\pi\) | |||||||
\(80\) | 1.63127 | − | 6.35443i | 0.182382 | − | 0.710447i | ||||
\(81\) | −0.809017 | + | 0.587785i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −1.86831 | − | 0.607052i | −0.206321 | − | 0.0670377i | ||||
\(83\) | −5.78295 | − | 1.87899i | −0.634761 | − | 0.206246i | −0.0260781 | − | 0.999660i | \(-0.508302\pi\) |
−0.608683 | + | 0.793414i | \(0.708302\pi\) | |||||||
\(84\) | 6.53941 | − | 4.75116i | 0.713508 | − | 0.518394i | ||||
\(85\) | −14.7498 | − | 3.78647i | −1.59984 | − | 0.410701i | ||||
\(86\) | −0.359446 | − | 1.10626i | −0.0387600 | − | 0.119291i | ||||
\(87\) | 1.12257i | 0.120352i | ||||||||
\(88\) | −1.91476 | + | 2.38147i | −0.204114 | + | 0.253866i | ||||
\(89\) | −12.5950 | −1.33506 | −0.667531 | − | 0.744582i | \(-0.732649\pi\) | ||||
−0.667531 | + | 0.744582i | \(0.732649\pi\) | |||||||
\(90\) | −3.00260 | − | 3.62923i | −0.316502 | − | 0.382554i | ||||
\(91\) | 6.70442 | + | 4.87105i | 0.702814 | + | 0.510624i | ||||
\(92\) | 8.43872 | + | 11.6149i | 0.879798 | + | 1.21094i | ||||
\(93\) | −1.04305 | − | 0.338908i | −0.108159 | − | 0.0351431i | ||||
\(94\) | −1.38930 | + | 4.27582i | −0.143295 | + | 0.441017i | ||||
\(95\) | 2.16687 | + | 1.37502i | 0.222316 | + | 0.141074i | ||||
\(96\) | −6.49079 | − | 4.71583i | −0.662463 | − | 0.481308i | ||||
\(97\) | −2.72832 | + | 0.886486i | −0.277019 | + | 0.0900090i | −0.444232 | − | 0.895912i | \(-0.646523\pi\) |
0.167213 | + | 0.985921i | \(0.446523\pi\) | |||||||
\(98\) | − | 8.42187i | − | 0.850737i | ||||||
\(99\) | −0.869581 | − | 3.20060i | −0.0873962 | − | 0.321672i | ||||
\(100\) | 8.88321 | − | 8.34322i | 0.888321 | − | 0.834322i | ||||
\(101\) | 3.05000 | + | 9.38694i | 0.303487 | + | 0.934036i | 0.980238 | + | 0.197824i | \(0.0633873\pi\) |
−0.676751 | + | 0.736212i | \(0.736613\pi\) | |||||||
\(102\) | −8.43221 | + | 11.6059i | −0.834913 | + | 1.14916i | ||||
\(103\) | −4.53743 | − | 6.24523i | −0.447086 | − | 0.615361i | 0.524682 | − | 0.851298i | \(-0.324184\pi\) |
−0.971768 | + | 0.235937i | \(0.924184\pi\) | |||||||
\(104\) | −0.711463 | + | 2.18966i | −0.0697647 | + | 0.214714i | ||||
\(105\) | −7.40088 | + | 0.465920i | −0.722252 | + | 0.0454691i | ||||
\(106\) | 19.8294 | − | 14.4069i | 1.92600 | − | 1.39932i | ||||
\(107\) | 9.11737 | − | 12.5490i | 0.881409 | − | 1.21316i | −0.0946194 | − | 0.995514i | \(-0.530163\pi\) |
0.976029 | − | 0.217642i | \(-0.0698366\pi\) | |||||||
\(108\) | −2.31809 | + | 0.753192i | −0.223058 | + | 0.0724760i | ||||
\(109\) | −6.79834 | −0.651163 | −0.325581 | − | 0.945514i | \(-0.605560\pi\) | ||||
−0.325581 | + | 0.945514i | \(0.605560\pi\) | |||||||
\(110\) | 14.7886 | − | 5.03511i | 1.41004 | − | 0.480079i | ||||
\(111\) | −11.5389 | −1.09522 | ||||||||
\(112\) | −9.25367 | + | 3.00670i | −0.874390 | + | 0.284106i | ||||
\(113\) | −0.177211 | + | 0.243910i | −0.0166706 | + | 0.0229451i | −0.817271 | − | 0.576254i | \(-0.804514\pi\) |
0.800600 | + | 0.599199i | \(0.204514\pi\) | |||||||
\(114\) | 1.95590 | − | 1.42104i | 0.183187 | − | 0.133093i | ||||
\(115\) | −0.827539 | − | 13.1450i | −0.0771684 | − | 1.22578i | ||||
\(116\) | −0.845508 | + | 2.60221i | −0.0785034 | + | 0.241609i | ||||
\(117\) | −1.46881 | − | 2.02164i | −0.135791 | − | 0.186901i | ||||
\(118\) | −10.3987 | + | 14.3125i | −0.957274 | + | 1.31757i | ||||
\(119\) | 6.97909 | + | 21.4794i | 0.639772 | + | 1.96902i | ||||
\(120\) | −0.758486 | − | 1.91549i | −0.0692399 | − | 0.174860i | ||||
\(121\) | 10.9475 | + | 1.07343i | 0.995227 | + | 0.0975844i | ||||
\(122\) | − | 17.3010i | − | 1.56636i | ||||||
\(123\) | 0.886924 | − | 0.288179i | 0.0799713 | − | 0.0259842i | ||||
\(124\) | −2.16262 | − | 1.57124i | −0.194209 | − | 0.141101i | ||||
\(125\) | −10.9821 | + | 2.09630i | −0.982265 | + | 0.187499i | ||||
\(126\) | −2.15875 | + | 6.64396i | −0.192317 | + | 0.591891i | ||||
\(127\) | 6.37720 | + | 2.07208i | 0.565885 | + | 0.183867i | 0.577968 | − | 0.816060i | \(-0.303846\pi\) |
−0.0120823 | + | 0.999927i | \(0.503846\pi\) | |||||||
\(128\) | −4.22884 | − | 5.82050i | −0.373780 | − | 0.514464i | ||||
\(129\) | 0.446730 | + | 0.324568i | 0.0393324 | + | 0.0285766i | ||||
\(130\) | 9.06902 | − | 7.50316i | 0.795406 | − | 0.658070i | ||||
\(131\) | −8.07729 | −0.705716 | −0.352858 | − | 0.935677i | \(-0.614790\pi\) | ||||
−0.352858 | + | 0.935677i | \(0.614790\pi\) | |||||||
\(132\) | 0.394902 | − | 8.07423i | 0.0343718 | − | 0.702771i | ||||
\(133\) | − | 3.80612i | − | 0.330033i | ||||||
\(134\) | −2.70416 | − | 8.32254i | −0.233604 | − | 0.718958i | ||||
\(135\) | 2.16584 | + | 0.556001i | 0.186406 | + | 0.0478530i | ||||
\(136\) | −5.07622 | + | 3.68809i | −0.435282 | + | 0.316251i | ||||
\(137\) | 6.12273 | + | 1.98939i | 0.523100 | + | 0.169965i | 0.558652 | − | 0.829402i | \(-0.311319\pi\) |
−0.0355519 | + | 0.999368i | \(0.511319\pi\) | |||||||
\(138\) | −11.8006 | − | 3.83425i | −1.00453 | − | 0.326393i | ||||
\(139\) | 5.64344 | − | 4.10020i | 0.478670 | − | 0.347774i | −0.322140 | − | 0.946692i | \(-0.604402\pi\) |
0.800811 | + | 0.598918i | \(0.204402\pi\) | |||||||
\(140\) | −17.5068 | − | 4.49424i | −1.47960 | − | 0.379833i | ||||
\(141\) | −0.659526 | − | 2.02981i | −0.0555421 | − | 0.170941i | ||||
\(142\) | 26.4031i | 2.21570i | ||||||||
\(143\) | 7.99793 | − | 2.17298i | 0.668820 | − | 0.181714i | ||||
\(144\) | 2.93393 | 0.244495 | ||||||||
\(145\) | 1.93403 | − | 1.60010i | 0.160612 | − | 0.132881i | ||||
\(146\) | −9.77805 | − | 7.10417i | −0.809237 | − | 0.587945i | ||||
\(147\) | 2.34998 | + | 3.23447i | 0.193823 | + | 0.266774i | ||||
\(148\) | −26.7481 | − | 8.69099i | −2.19868 | − | 0.714395i | ||||
\(149\) | 5.87766 | − | 18.0896i | 0.481516 | − | 1.48196i | −0.355447 | − | 0.934696i | \(-0.615671\pi\) |
0.836963 | − | 0.547259i | \(-0.184329\pi\) | |||||||
\(150\) | −1.97278 | + | 10.3461i | −0.161077 | + | 0.844759i | ||||
\(151\) | −3.15582 | − | 2.29284i | −0.256817 | − | 0.186589i | 0.451925 | − | 0.892056i | \(-0.350737\pi\) |
−0.708743 | + | 0.705467i | \(0.750737\pi\) | |||||||
\(152\) | 1.00567 | − | 0.326762i | 0.0815707 | − | 0.0265039i | ||||
\(153\) | − | 6.81019i | − | 0.550571i | ||||||
\(154\) | −18.0569 | − | 14.5181i | −1.45506 | − | 1.16990i | ||||
\(155\) | 0.902865 | + | 2.28011i | 0.0725199 | + | 0.183143i | ||||
\(156\) | −1.88214 | − | 5.79264i | −0.150692 | − | 0.463782i | ||||
\(157\) | 10.8060 | − | 14.8732i | 0.862413 | − | 1.18701i | −0.118575 | − | 0.992945i | \(-0.537833\pi\) |
0.980989 | − | 0.194065i | \(-0.0621673\pi\) | |||||||
\(158\) | −4.78869 | − | 6.59107i | −0.380968 | − | 0.524357i | ||||
\(159\) | −3.59560 | + | 11.0661i | −0.285149 | + | 0.877600i | ||||
\(160\) | 1.12718 | + | 17.9047i | 0.0891115 | + | 1.41549i | ||||
\(161\) | −15.8034 | + | 11.4818i | −1.24548 | + | 0.904894i | ||||
\(162\) | 1.23818 | − | 1.70420i | 0.0972802 | − | 0.133895i | ||||
\(163\) | 16.7120 | − | 5.43005i | 1.30898 | − | 0.425314i | 0.430285 | − | 0.902693i | \(-0.358413\pi\) |
0.878698 | + | 0.477379i | \(0.158413\pi\) | |||||||
\(164\) | 2.27302 | 0.177493 | ||||||||
\(165\) | −4.27470 | + | 6.06028i | −0.332785 | + | 0.471792i | ||||
\(166\) | 12.8087 | 0.994151 | ||||||||
\(167\) | −11.4865 | + | 3.73220i | −0.888855 | + | 0.288807i | −0.717629 | − | 0.696425i | \(-0.754773\pi\) |
−0.171226 | + | 0.985232i | \(0.554773\pi\) | |||||||
\(168\) | −1.79597 | + | 2.47194i | −0.138562 | + | 0.190715i | ||||
\(169\) | −5.46537 | + | 3.97083i | −0.420413 | + | 0.305448i | ||||
\(170\) | 32.0146 | − | 2.01547i | 2.45541 | − | 0.154580i | ||||
\(171\) | −0.354657 | + | 1.09152i | −0.0271213 | + | 0.0834707i | ||||
\(172\) | 0.791097 | + | 1.08885i | 0.0603206 | + | 0.0830241i | ||||
\(173\) | −14.2500 | + | 19.6135i | −1.08341 | + | 1.49119i | −0.227698 | + | 0.973732i | \(0.573120\pi\) |
−0.855711 | + | 0.517454i | \(0.826880\pi\) | |||||||
\(174\) | −0.730731 | − | 2.24896i | −0.0553966 | − | 0.170493i | ||||
\(175\) | 11.3519 | + | 12.0866i | 0.858121 | + | 0.913660i | ||||
\(176\) | −3.45547 | + | 9.09656i | −0.260466 | + | 0.685679i | ||||
\(177\) | − | 8.39837i | − | 0.631260i | ||||||
\(178\) | 25.2329 | − | 8.19865i | 1.89128 | − | 0.614515i | ||||
\(179\) | −16.1310 | − | 11.7198i | −1.20569 | − | 0.875982i | −0.210854 | − | 0.977517i | \(-0.567625\pi\) |
−0.994832 | + | 0.101535i | \(0.967625\pi\) | |||||||
\(180\) | 4.60183 | + | 2.92015i | 0.343000 | + | 0.217655i | ||||
\(181\) | −1.58615 | + | 4.88168i | −0.117898 | + | 0.362852i | −0.992540 | − | 0.121916i | \(-0.961096\pi\) |
0.874643 | + | 0.484768i | \(0.161096\pi\) | |||||||
\(182\) | −16.6025 | − | 5.39448i | −1.23066 | − | 0.399865i | ||||
\(183\) | 4.82756 | + | 6.64456i | 0.356863 | + | 0.491180i | ||||
\(184\) | −4.39052 | − | 3.18990i | −0.323674 | − | 0.235163i | ||||
\(185\) | 16.4474 | + | 19.8799i | 1.20924 | + | 1.46160i | ||||
\(186\) | 2.31027 | 0.169397 | ||||||||
\(187\) | 21.1148 | + | 8.02076i | 1.54406 | + | 0.586536i | ||||
\(188\) | − | 5.20204i | − | 0.379397i | ||||||
\(189\) | −1.02480 | − | 3.15401i | −0.0745433 | − | 0.229421i | ||||
\(190\) | −5.23619 | − | 1.34420i | −0.379873 | − | 0.0975187i | ||||
\(191\) | 2.27606 | − | 1.65365i | 0.164690 | − | 0.119654i | −0.502388 | − | 0.864642i | \(-0.667545\pi\) |
0.667078 | + | 0.744988i | \(0.267545\pi\) | |||||||
\(192\) | 10.4928 | + | 3.40931i | 0.757252 | + | 0.246046i | ||||
\(193\) | −18.3584 | − | 5.96502i | −1.32147 | − | 0.429371i | −0.438470 | − | 0.898746i | \(-0.644480\pi\) |
−0.882999 | + | 0.469374i | \(0.844480\pi\) | |||||||
\(194\) | 4.88889 | − | 3.55199i | 0.351002 | − | 0.255018i | ||||
\(195\) | −1.38938 | + | 5.41219i | −0.0994958 | + | 0.387575i | ||||
\(196\) | 3.01128 | + | 9.26776i | 0.215091 | + | 0.661983i | ||||
\(197\) | − | 3.57956i | − | 0.255033i | −0.991836 | − | 0.127516i | \(-0.959299\pi\) | ||
0.991836 | − | 0.127516i | \(-0.0407006\pi\) | |||||||
\(198\) | 3.82555 | + | 5.84606i | 0.271870 | + | 0.415461i | ||||
\(199\) | −12.7087 | −0.900893 | −0.450447 | − | 0.892803i | \(-0.648735\pi\) | ||||
−0.450447 | + | 0.892803i | \(0.648735\pi\) | |||||||
\(200\) | −2.21899 | + | 4.03710i | −0.156906 | + | 0.285466i | ||||
\(201\) | 3.36081 | + | 2.44177i | 0.237053 | + | 0.172229i | ||||
\(202\) | −12.2208 | − | 16.8205i | −0.859853 | − | 1.18349i | ||||
\(203\) | −3.54059 | − | 1.15041i | −0.248500 | − | 0.0807427i | ||||
\(204\) | 5.12938 | − | 15.7866i | 0.359129 | − | 1.10528i | ||||
\(205\) | −1.76071 | − | 1.11728i | −0.122973 | − | 0.0780343i | ||||
\(206\) | 13.1556 | + | 9.55813i | 0.916597 | + | 0.665947i | ||||
\(207\) | 5.60197 | − | 1.82019i | 0.389364 | − | 0.126512i | ||||
\(208\) | 7.33157i | 0.508353i | ||||||||
\(209\) | −2.96652 | − | 2.38515i | −0.205199 | − | 0.164984i | ||||
\(210\) | 14.5237 | − | 5.75101i | 1.00223 | − | 0.396857i | ||||
\(211\) | −1.08007 | − | 3.32412i | −0.0743552 | − | 0.228842i | 0.906971 | − | 0.421193i | \(-0.138389\pi\) |
−0.981326 | + | 0.192352i | \(0.938389\pi\) | |||||||
\(212\) | −16.6698 | + | 22.9440i | −1.14489 | + | 1.57580i | ||||
\(213\) | −7.36733 | − | 10.1403i | −0.504801 | − | 0.694799i | ||||
\(214\) | −10.0971 | + | 31.0757i | −0.690223 | + | 2.12429i | ||||
\(215\) | −0.0775785 | − | 1.23229i | −0.00529081 | − | 0.0840416i | ||||
\(216\) | 0.745386 | − | 0.541555i | 0.0507171 | − | 0.0368481i | ||||
\(217\) | 2.13784 | − | 2.94249i | 0.145126 | − | 0.199749i | ||||
\(218\) | 13.6199 | − | 4.42536i | 0.922453 | − | 0.299723i | ||||
\(219\) | 5.73761 | 0.387712 | ||||||||
\(220\) | −14.4737 | + | 10.8286i | −0.975815 | + | 0.730063i | ||||
\(221\) | 17.0179 | 1.14475 | ||||||||
\(222\) | 23.1171 | − | 7.51119i | 1.55152 | − | 0.504118i | ||||
\(223\) | −3.05976 | + | 4.21140i | −0.204897 | + | 0.282016i | −0.899082 | − | 0.437780i | \(-0.855765\pi\) |
0.694185 | + | 0.719796i | \(0.255765\pi\) | |||||||
\(224\) | 21.5256 | − | 15.6392i | 1.43824 | − | 1.04494i | ||||
\(225\) | −2.12926 | − | 4.52397i | −0.141950 | − | 0.301598i | ||||
\(226\) | 0.196253 | − | 0.604005i | 0.0130546 | − | 0.0401778i | ||||
\(227\) | −5.70295 | − | 7.84944i | −0.378518 | − | 0.520985i | 0.576673 | − | 0.816975i | \(-0.304351\pi\) |
−0.955191 | + | 0.295990i | \(0.904351\pi\) | |||||||
\(228\) | −1.64425 | + | 2.26312i | −0.108893 | + | 0.149878i | ||||
\(229\) | −5.71715 | − | 17.5956i | −0.377800 | − | 1.16275i | −0.941570 | − | 0.336817i | \(-0.890650\pi\) |
0.563770 | − | 0.825932i | \(-0.309350\pi\) | |||||||
\(230\) | 10.2146 | + | 25.7961i | 0.673531 | + | 1.70095i | ||||
\(231\) | 10.9859 | + | 0.537307i | 0.722818 | + | 0.0353522i | ||||
\(232\) | − | 1.03427i | − | 0.0679034i | ||||||
\(233\) | −14.2224 | + | 4.62115i | −0.931742 | + | 0.302741i | −0.735275 | − | 0.677769i | \(-0.762947\pi\) |
−0.196467 | + | 0.980510i | \(0.562947\pi\) | |||||||
\(234\) | 4.25861 | + | 3.09406i | 0.278394 | + | 0.202265i | ||||
\(235\) | −2.55701 | + | 4.02955i | −0.166801 | + | 0.262859i | ||||
\(236\) | 6.32559 | − | 19.4682i | 0.411761 | − | 1.26727i | ||||
\(237\) | 3.67825 | + | 1.19514i | 0.238928 | + | 0.0776324i | ||||
\(238\) | −27.9639 | − | 38.4891i | −1.81263 | − | 2.49488i | ||||
\(239\) | −1.21932 | − | 0.885887i | −0.0788712 | − | 0.0573033i | 0.547651 | − | 0.836707i | \(-0.315522\pi\) |
−0.626522 | + | 0.779404i | \(0.715522\pi\) | |||||||
\(240\) | −4.18201 | − | 5.05477i | −0.269947 | − | 0.326284i | ||||
\(241\) | −7.09571 | −0.457075 | −0.228537 | − | 0.973535i | \(-0.573394\pi\) | ||||
−0.228537 | + | 0.973535i | \(0.573394\pi\) | |||||||
\(242\) | −22.6311 | + | 4.97573i | −1.45478 | + | 0.319852i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 6.18607 | + | 19.0388i | 0.396022 | + | 1.21883i | ||||
\(245\) | 2.22290 | − | 8.65907i | 0.142016 | − | 0.553208i | ||||
\(246\) | −1.58928 | + | 1.15468i | −0.101329 | + | 0.0736198i | ||||
\(247\) | −2.72758 | − | 0.886246i | −0.173552 | − | 0.0563905i | ||||
\(248\) | 0.961014 | + | 0.312252i | 0.0610244 | + | 0.0198280i | ||||
\(249\) | −4.91927 | + | 3.57406i | −0.311746 | + | 0.226497i | ||||
\(250\) | 20.6370 | − | 11.3485i | 1.30520 | − | 0.717741i | ||||
\(251\) | −4.22692 | − | 13.0091i | −0.266801 | − | 0.821129i | −0.991273 | − | 0.131825i | \(-0.957916\pi\) |
0.724472 | − | 0.689304i | \(-0.242084\pi\) | |||||||
\(252\) | − | 8.08315i | − | 0.509191i | ||||||
\(253\) | −0.954333 | + | 19.5125i | −0.0599984 | + | 1.22674i | ||||
\(254\) | −14.1250 | −0.886279 | ||||||||
\(255\) | −11.7330 | + | 9.70719i | −0.734750 | + | 0.607888i | ||||
\(256\) | −5.59047 | − | 4.06172i | −0.349405 | − | 0.253857i | ||||
\(257\) | 4.88104 | + | 6.71817i | 0.304471 | + | 0.419068i | 0.933647 | − | 0.358195i | \(-0.116608\pi\) |
−0.629176 | + | 0.777263i | \(0.716608\pi\) | |||||||
\(258\) | −1.10626 | − | 0.359446i | −0.0688727 | − | 0.0223781i | ||||
\(259\) | 11.8250 | − | 36.3937i | 0.734773 | − | 2.26140i | ||||
\(260\) | −7.29713 | + | 11.4994i | −0.452549 | + | 0.713166i | ||||
\(261\) | 0.908175 | + | 0.659827i | 0.0562146 | + | 0.0408423i | ||||
\(262\) | 16.1821 | − | 5.25789i | 0.999735 | − | 0.324834i | ||||
\(263\) | − | 11.1345i | − | 0.686582i | −0.939229 | − | 0.343291i | \(-0.888458\pi\) | ||
0.939229 | − | 0.343291i | \(-0.111542\pi\) | |||||||
\(264\) | 0.801187 | + | 2.94887i | 0.0493096 | + | 0.181490i | ||||
\(265\) | 24.1905 | − | 9.57882i | 1.48601 | − | 0.588422i | ||||
\(266\) | 2.47759 | + | 7.62522i | 0.151910 | + | 0.467532i | ||||
\(267\) | −7.40313 | + | 10.1895i | −0.453064 | + | 0.623589i | ||||
\(268\) | 5.95153 | + | 8.19157i | 0.363547 | + | 0.500380i | ||||
\(269\) | −7.03209 | + | 21.6426i | −0.428754 | + | 1.31957i | 0.470599 | + | 0.882347i | \(0.344038\pi\) |
−0.899353 | + | 0.437223i | \(0.855962\pi\) | |||||||
\(270\) | −4.70099 | + | 0.295949i | −0.286093 | + | 0.0180109i | ||||
\(271\) | −6.30586 | + | 4.58148i | −0.383054 | + | 0.278305i | −0.762603 | − | 0.646867i | \(-0.776079\pi\) |
0.379549 | + | 0.925172i | \(0.376079\pi\) | |||||||
\(272\) | −11.7443 | + | 16.1647i | −0.712105 | + | 0.980128i | ||||
\(273\) | 7.88152 | − | 2.56086i | 0.477011 | − | 0.154990i | ||||
\(274\) | −13.5613 | −0.819269 | ||||||||
\(275\) | 16.5341 | − | 1.27355i | 0.997047 | − | 0.0767978i | ||||
\(276\) | 14.3568 | 0.864179 | ||||||||
\(277\) | −9.00383 | + | 2.92552i | −0.540988 | + | 0.175778i | −0.566749 | − | 0.823891i | \(-0.691799\pi\) |
0.0257612 | + | 0.999668i | \(0.491799\pi\) | |||||||
\(278\) | −8.63711 | + | 11.8880i | −0.518019 | + | 0.712992i | ||||
\(279\) | −0.887273 | + | 0.644641i | −0.0531196 | + | 0.0385937i | ||||
\(280\) | 6.81879 | − | 0.429275i | 0.407501 | − | 0.0256541i | ||||
\(281\) | 9.67271 | − | 29.7696i | 0.577026 | − | 1.77590i | −0.0521495 | − | 0.998639i | \(-0.516607\pi\) |
0.629175 | − | 0.777263i | \(-0.283393\pi\) | |||||||
\(282\) | 2.64260 | + | 3.63723i | 0.157365 | + | 0.216594i | ||||
\(283\) | 14.3492 | − | 19.7500i | 0.852972 | − | 1.17402i | −0.130228 | − | 0.991484i | \(-0.541571\pi\) |
0.983200 | − | 0.182531i | \(-0.0584291\pi\) | |||||||
\(284\) | −9.44055 | − | 29.0550i | −0.560194 | − | 1.72410i | ||||
\(285\) | 2.38607 | − | 0.944820i | 0.141338 | − | 0.0559663i | ||||
\(286\) | −14.6086 | + | 9.55960i | −0.863826 | + | 0.565271i | ||||
\(287\) | 3.09270i | 0.182556i | ||||||||
\(288\) | −7.63038 | + | 2.47926i | −0.449624 | + | 0.146092i | ||||
\(289\) | 23.7678 | + | 17.2684i | 1.39811 | + | 1.01579i | ||||
\(290\) | −2.83307 | + | 4.46460i | −0.166364 | + | 0.262170i | ||||
\(291\) | −0.886486 | + | 2.72832i | −0.0519667 | + | 0.159937i | ||||
\(292\) | 13.3003 | + | 4.32152i | 0.778340 | + | 0.252898i | ||||
\(293\) | 6.94742 | + | 9.56230i | 0.405873 | + | 0.558636i | 0.962206 | − | 0.272324i | \(-0.0877922\pi\) |
−0.556333 | + | 0.830959i | \(0.687792\pi\) | |||||||
\(294\) | −6.81343 | − | 4.95025i | −0.397367 | − | 0.288704i | ||||
\(295\) | −14.4692 | + | 11.9710i | −0.842432 | + | 0.696977i | ||||
\(296\) | 10.6313 | 0.617933 | ||||||||
\(297\) | −3.10047 | − | 1.17776i | −0.179907 | − | 0.0683405i | ||||
\(298\) | 40.0669i | 2.32101i | ||||||||
\(299\) | 4.54845 | + | 13.9987i | 0.263044 | + | 0.809565i | ||||
\(300\) | −1.52839 | − | 12.0907i | −0.0882415 | − | 0.698056i | ||||
\(301\) | −1.48150 | + | 1.07637i | −0.0853923 | + | 0.0620412i | ||||
\(302\) | 7.81492 | + | 2.53922i | 0.449698 | + | 0.146116i | ||||
\(303\) | 9.38694 | + | 3.05000i | 0.539266 | + | 0.175218i | ||||
\(304\) | 2.72417 | − | 1.97922i | 0.156242 | − | 0.113516i | ||||
\(305\) | 4.56651 | − | 17.7883i | 0.261478 | − | 1.01856i | ||||
\(306\) | 4.43307 | + | 13.6436i | 0.253422 | + | 0.779952i | ||||
\(307\) | 22.3217i | 1.27396i | 0.770878 | + | 0.636982i | \(0.219818\pi\) | ||||
−0.770878 | + | 0.636982i | \(0.780182\pi\) | |||||||
\(308\) | 25.0615 | + | 9.52000i | 1.42801 | + | 0.542453i | ||||
\(309\) | −7.71953 | −0.439149 | ||||||||
\(310\) | −3.29304 | − | 3.98028i | −0.187032 | − | 0.226065i | ||||
\(311\) | 15.7624 | + | 11.4521i | 0.893804 | + | 0.649386i | 0.936867 | − | 0.349686i | \(-0.113712\pi\) |
−0.0430633 | + | 0.999072i | \(0.513712\pi\) | |||||||
\(312\) | 1.35328 | + | 1.86264i | 0.0766146 | + | 0.105451i | ||||
\(313\) | −16.5034 | − | 5.36228i | −0.932827 | − | 0.303094i | −0.197109 | − | 0.980382i | \(-0.563155\pi\) |
−0.735718 | + | 0.677288i | \(0.763155\pi\) | |||||||
\(314\) | −11.9672 | + | 36.8312i | −0.675348 | + | 2.07851i | ||||
\(315\) | −3.97319 | + | 6.26130i | −0.223864 | + | 0.352784i | ||||
\(316\) | 7.62634 | + | 5.54086i | 0.429015 | + | 0.311698i | ||||
\(317\) | −0.790059 | + | 0.256706i | −0.0443741 | + | 0.0144180i | −0.331120 | − | 0.943589i | \(-0.607426\pi\) |
0.286746 | + | 0.958007i | \(0.407426\pi\) | |||||||
\(318\) | − | 24.5105i | − | 1.37448i | ||||||
\(319\) | −3.11538 | + | 2.03865i | −0.174428 | + | 0.114142i | ||||
\(320\) | −9.08256 | − | 22.9373i | −0.507731 | − | 1.28223i | ||||
\(321\) | −4.79328 | − | 14.7522i | −0.267535 | − | 0.823388i | ||||
\(322\) | 24.1865 | − | 33.2899i | 1.34786 | − | 1.85518i | ||||
\(323\) | −4.59413 | − | 6.32328i | −0.255624 | − | 0.351837i | ||||
\(324\) | −0.753192 | + | 2.31809i | −0.0418440 | + | 0.128783i | ||||
\(325\) | 11.3049 | − | 5.32077i | 0.627081 | − | 0.295143i | ||||
\(326\) | −29.9462 | + | 21.7572i | −1.65857 | + | 1.20502i | ||||
\(327\) | −3.99596 | + | 5.49997i | −0.220977 | + | 0.304149i | ||||
\(328\) | −0.817166 | + | 0.265513i | −0.0451205 | + | 0.0146605i | ||||
\(329\) | 7.07794 | 0.390220 | ||||||||
\(330\) | 4.61905 | − | 14.9238i | 0.254271 | − | 0.821529i | ||||
\(331\) | −31.5311 | −1.73311 | −0.866554 | − | 0.499084i | \(-0.833670\pi\) | ||||
−0.866554 | + | 0.499084i | \(0.833670\pi\) | |||||||
\(332\) | −14.0953 | + | 4.57982i | −0.773577 | + | 0.251351i | ||||
\(333\) | −6.78238 | + | 9.33514i | −0.371672 | + | 0.511563i | ||||
\(334\) | 20.5828 | − | 14.9543i | 1.12624 | − | 0.818261i | ||||
\(335\) | −0.583634 | − | 9.27069i | −0.0318873 | − | 0.506512i | ||||
\(336\) | −3.00670 | + | 9.25367i | −0.164029 | + | 0.504829i | ||||
\(337\) | 9.54207 | + | 13.1335i | 0.519790 | + | 0.715429i | 0.985532 | − | 0.169491i | \(-0.0542124\pi\) |
−0.465742 | + | 0.884921i | \(0.654212\pi\) | |||||||
\(338\) | 8.36458 | − | 11.5129i | 0.454973 | − | 0.626217i | ||||
\(339\) | 0.0931652 | + | 0.286733i | 0.00506004 | + | 0.0155732i | ||||
\(340\) | −34.5096 | + | 13.6649i | −1.87154 | + | 0.741083i | ||||
\(341\) | −0.953695 | − | 3.51019i | −0.0516455 | − | 0.190087i | ||||
\(342\) | − | 2.41763i | − | 0.130730i | ||||||
\(343\) | 9.46829 | − | 3.07643i | 0.511239 | − | 0.166112i | ||||
\(344\) | −0.411594 | − | 0.299040i | −0.0221916 | − | 0.0161232i | ||||
\(345\) | −11.1209 | − | 7.05695i | −0.598732 | − | 0.379933i | ||||
\(346\) | 15.7813 | − | 48.5698i | 0.848408 | − | 2.61113i | ||||
\(347\) | −11.8406 | − | 3.84726i | −0.635639 | − | 0.206532i | −0.0265674 | − | 0.999647i | \(-0.508458\pi\) |
−0.609071 | + | 0.793115i | \(0.708458\pi\) | |||||||
\(348\) | 1.60825 | + | 2.21357i | 0.0862113 | + | 0.118660i | ||||
\(349\) | 26.3980 | + | 19.1793i | 1.41305 | + | 1.02664i | 0.992870 | + | 0.119203i | \(0.0380338\pi\) |
0.420182 | + | 0.907440i | \(0.361966\pi\) | |||||||
\(350\) | −30.6102 | − | 16.8249i | −1.63618 | − | 0.899329i | ||||
\(351\) | −2.49889 | −0.133381 | ||||||||
\(352\) | 1.29989 | − | 26.5777i | 0.0692842 | − | 1.41660i | ||||
\(353\) | 15.7921i | 0.840530i | 0.907402 | + | 0.420265i | \(0.138063\pi\) | ||||
−0.907402 | + | 0.420265i | \(0.861937\pi\) | |||||||
\(354\) | 5.46690 | + | 16.8254i | 0.290562 | + | 0.894259i | ||||
\(355\) | −6.96895 | + | 27.1467i | −0.369873 | + | 1.44080i | ||||
\(356\) | −24.8358 | + | 18.0443i | −1.31629 | + | 0.956343i | ||||
\(357\) | 21.4794 | + | 6.97909i | 1.13681 | + | 0.369373i | ||||
\(358\) | 39.9460 | + | 12.9792i | 2.11121 | + | 0.685974i | ||||
\(359\) | 14.6935 | − | 10.6755i | 0.775494 | − | 0.563429i | −0.128129 | − | 0.991757i | \(-0.540897\pi\) |
0.903623 | + | 0.428328i | \(0.140897\pi\) | |||||||
\(360\) | −1.99549 | − | 0.512271i | −0.105172 | − | 0.0269990i | ||||
\(361\) | −5.46429 | − | 16.8173i | −0.287594 | − | 0.885123i | ||||
\(362\) | − | 10.8125i | − | 0.568292i | ||||||
\(363\) | 7.30320 | − | 8.22577i | 0.383319 | − | 0.431741i | ||||
\(364\) | 20.1989 | 1.05871 | ||||||||
\(365\) | −8.17834 | − | 9.88512i | −0.428074 | − | 0.517411i | ||||
\(366\) | −13.9968 | − | 10.1693i | −0.731626 | − | 0.531558i | ||||
\(367\) | 0.277462 | + | 0.381893i | 0.0144834 | + | 0.0199347i | 0.816197 | − | 0.577773i | \(-0.196078\pi\) |
−0.801714 | + | 0.597708i | \(0.796078\pi\) | |||||||
\(368\) | −16.4358 | − | 5.34032i | −0.856776 | − | 0.278383i | ||||
\(369\) | 0.288179 | − | 0.886924i | 0.0150020 | − | 0.0461714i | ||||
\(370\) | −45.8917 | − | 29.1212i | −2.38579 | − | 1.51394i | ||||
\(371\) | −31.2179 | − | 22.6811i | −1.62075 | − | 1.17755i | ||||
\(372\) | −2.54231 | + | 0.826048i | −0.131813 | + | 0.0428286i | ||||
\(373\) | − | 15.4102i | − | 0.797910i | −0.916970 | − | 0.398955i | \(-0.869373\pi\) | ||
0.916970 | − | 0.398955i | \(-0.130627\pi\) | |||||||
\(374\) | −47.5226 | − | 2.32428i | −2.45733 | − | 0.120186i | ||||
\(375\) | −4.75915 | + | 10.1168i | −0.245761 | + | 0.522432i | ||||
\(376\) | 0.607653 | + | 1.87017i | 0.0313373 | + | 0.0964464i | ||||
\(377\) | −1.64883 | + | 2.26942i | −0.0849192 | + | 0.116881i | ||||
\(378\) | 4.10619 | + | 5.65169i | 0.211200 | + | 0.290692i | ||||
\(379\) | 5.95617 | − | 18.3312i | 0.305948 | − | 0.941611i | −0.673374 | − | 0.739302i | \(-0.735156\pi\) |
0.979322 | − | 0.202309i | \(-0.0648444\pi\) | |||||||
\(380\) | 6.24274 | − | 0.393010i | 0.320246 | − | 0.0201610i | ||||
\(381\) | 5.42477 | − | 3.94133i | 0.277920 | − | 0.201920i | ||||
\(382\) | −3.48344 | + | 4.79454i | −0.178228 | + | 0.245310i | ||||
\(383\) | −7.08369 | + | 2.30163i | −0.361960 | + | 0.117608i | −0.484350 | − | 0.874874i | \(-0.660944\pi\) |
0.122390 | + | 0.992482i | \(0.460944\pi\) | |||||||
\(384\) | −7.19453 | −0.367144 | ||||||||
\(385\) | −14.7335 | − | 19.6930i | −0.750887 | − | 1.00365i | ||||
\(386\) | 40.6624 | 2.06966 | ||||||||
\(387\) | 0.525162 | − | 0.170636i | 0.0266955 | − | 0.00867390i | ||||
\(388\) | −4.10990 | + | 5.65680i | −0.208649 | + | 0.287180i | ||||
\(389\) | −0.577492 | + | 0.419572i | −0.0292800 | + | 0.0212732i | −0.602329 | − | 0.798248i | \(-0.705760\pi\) |
0.573049 | + | 0.819521i | \(0.305760\pi\) | |||||||
\(390\) | −0.739544 | − | 11.7472i | −0.0374483 | − | 0.594845i | ||||
\(391\) | −12.3958 | + | 38.1505i | −0.626885 | + | 1.92935i | ||||
\(392\) | −2.16515 | − | 2.98007i | −0.109356 | − | 0.150516i | ||||
\(393\) | −4.74771 | + | 6.53467i | −0.239490 | + | 0.329630i | ||||
\(394\) | 2.33010 | + | 7.17132i | 0.117389 | + | 0.361286i | ||||
\(395\) | −3.18389 | − | 8.04066i | −0.160199 | − | 0.404569i | ||||
\(396\) | −6.30007 | − | 5.06539i | −0.316590 | − | 0.254546i | ||||
\(397\) | − | 0.764171i | − | 0.0383526i | −0.999816 | − | 0.0191763i | \(-0.993896\pi\) | ||
0.999816 | − | 0.0191763i | \(-0.00610438\pi\) | |||||||
\(398\) | 25.4607 | − | 8.27267i | 1.27623 | − | 0.414672i | ||||
\(399\) | −3.07922 | − | 2.23718i | −0.154154 | − | 0.111999i | ||||
\(400\) | −2.74767 | + | 14.4101i | −0.137384 | + | 0.720503i | ||||
\(401\) | −4.86839 | + | 14.9834i | −0.243116 | + | 0.748234i | 0.752825 | + | 0.658221i | \(0.228691\pi\) |
−0.995941 | + | 0.0900128i | \(0.971309\pi\) | |||||||
\(402\) | −8.32254 | − | 2.70416i | −0.415091 | − | 0.134871i | ||||
\(403\) | −1.61089 | − | 2.21719i | −0.0802439 | − | 0.110446i | ||||
\(404\) | 19.4625 | + | 14.1403i | 0.968296 | + | 0.703508i | ||||
\(405\) | 1.72286 | − | 1.42539i | 0.0856098 | − | 0.0708283i | ||||
\(406\) | 7.84210 | 0.389197 | ||||||||
\(407\) | −20.9553 | − | 32.0231i | −1.03871 | − | 1.58732i | ||||
\(408\) | 6.27456i | 0.310637i | ||||||||
\(409\) | 0.809935 | + | 2.49272i | 0.0400487 | + | 0.123257i | 0.969082 | − | 0.246739i | \(-0.0793590\pi\) |
−0.929033 | + | 0.369996i | \(0.879359\pi\) | |||||||
\(410\) | 4.25471 | + | 1.09224i | 0.210125 | + | 0.0539421i | ||||
\(411\) | 5.20830 | − | 3.78405i | 0.256907 | − | 0.186654i | ||||
\(412\) | −17.8945 | − | 5.81429i | −0.881601 | − | 0.286450i | ||||
\(413\) | 26.4886 | + | 8.60666i | 1.30342 | + | 0.423506i | ||||
\(414\) | −10.0382 | + | 7.29318i | −0.493350 | + | 0.358440i | ||||
\(415\) | 13.1695 | + | 3.38079i | 0.646465 | + | 0.165957i | ||||
\(416\) | −6.19539 | − | 19.0674i | −0.303754 | − | 0.934858i | ||||
\(417\) | − | 6.97567i | − | 0.341600i | ||||||
\(418\) | 7.49576 | + | 2.84738i | 0.366630 | + | 0.139270i | ||||
\(419\) | 18.0078 | 0.879737 | 0.439868 | − | 0.898062i | \(-0.355025\pi\) | ||||
0.439868 | + | 0.898062i | \(0.355025\pi\) | |||||||
\(420\) | −13.9262 | + | 11.5217i | −0.679527 | + | 0.562199i | ||||
\(421\) | −0.947495 | − | 0.688395i | −0.0461781 | − | 0.0335503i | 0.564457 | − | 0.825463i | \(-0.309086\pi\) |
−0.610635 | + | 0.791912i | \(0.709086\pi\) | |||||||
\(422\) | 4.32765 | + | 5.95650i | 0.210667 | + | 0.289958i | ||||
\(423\) | −2.02981 | − | 0.659526i | −0.0986929 | − | 0.0320673i | ||||
\(424\) | 3.31280 | − | 10.1957i | 0.160884 | − | 0.495149i | ||||
\(425\) | 33.4483 | + | 6.37784i | 1.62248 | + | 0.309371i | ||||
\(426\) | 21.3606 | + | 15.5193i | 1.03492 | + | 0.751915i | ||||
\(427\) | −25.9043 | + | 8.41683i | −1.25360 | + | 0.407319i | ||||
\(428\) | − | 37.8072i | − | 1.82748i | ||||||
\(429\) | 2.94308 | − | 7.74771i | 0.142093 | − | 0.374063i | ||||
\(430\) | 0.957578 | + | 2.41828i | 0.0461785 | + | 0.116620i | ||||
\(431\) | 10.8441 | + | 33.3746i | 0.522340 | + | 1.60760i | 0.769517 | + | 0.638626i | \(0.220497\pi\) |
−0.247177 | + | 0.968970i | \(0.579503\pi\) | |||||||
\(432\) | 1.72452 | − | 2.37360i | 0.0829712 | − | 0.114200i | ||||
\(433\) | 10.7130 | + | 14.7452i | 0.514834 | + | 0.708608i | 0.984725 | − | 0.174116i | \(-0.0557069\pi\) |
−0.469891 | + | 0.882724i | \(0.655707\pi\) | |||||||
\(434\) | −2.36757 | + | 7.28663i | −0.113647 | + | 0.349769i | ||||
\(435\) | −0.157712 | − | 2.50517i | −0.00756173 | − | 0.120114i | ||||
\(436\) | −13.4055 | + | 9.73969i | −0.642009 | + | 0.466446i | ||||
\(437\) | 3.97355 | − | 5.46912i | 0.190081 | − | 0.261624i | ||||
\(438\) | −11.4948 | + | 3.73488i | −0.549242 | + | 0.178460i | ||||
\(439\) | 19.8155 | 0.945743 | 0.472871 | − | 0.881131i | \(-0.343218\pi\) | ||||
0.472871 | + | 0.881131i | \(0.343218\pi\) | |||||||
\(440\) | 3.93849 | − | 5.58362i | 0.187760 | − | 0.266189i | ||||
\(441\) | 3.99802 | 0.190382 | ||||||||
\(442\) | −34.0938 | + | 11.0777i | −1.62168 | + | 0.526914i | ||||
\(443\) | 9.80922 | − | 13.5012i | 0.466050 | − | 0.641463i | −0.509700 | − | 0.860352i | \(-0.670243\pi\) |
0.975750 | + | 0.218890i | \(0.0702435\pi\) | |||||||
\(444\) | −22.7533 | + | 16.5312i | −1.07982 | + | 0.784538i | ||||
\(445\) | 28.1075 | − | 1.76950i | 1.33242 | − | 0.0838824i | ||||
\(446\) | 3.38856 | − | 10.4289i | 0.160453 | − | 0.493823i | ||||
\(447\) | −11.1800 | − | 15.3879i | −0.528794 | − | 0.727823i | ||||
\(448\) | −21.5061 | + | 29.6005i | −1.01607 | + | 1.39849i | ||||
\(449\) | 4.07811 | + | 12.5511i | 0.192458 | + | 0.592325i | 0.999997 | + | 0.00251063i | \(0.000799160\pi\) |
−0.807539 | + | 0.589815i | \(0.799201\pi\) | |||||||
\(450\) | 7.21064 | + | 7.67732i | 0.339913 | + | 0.361912i | ||||
\(451\) | 2.41047 | + | 1.93807i | 0.113505 | + | 0.0912603i | ||||
\(452\) | 0.734843i | 0.0345641i | ||||||||
\(453\) | −3.70989 | + | 1.20542i | −0.174306 | + | 0.0566354i | ||||
\(454\) | 16.5349 | + | 12.0133i | 0.776022 | + | 0.563813i | ||||
\(455\) | −15.6463 | − | 9.92855i | −0.733508 | − | 0.465458i | ||||
\(456\) | 0.326762 | − | 1.00567i | 0.0153020 | − | 0.0470948i | ||||
\(457\) | −20.2264 | − | 6.57194i | −0.946149 | − | 0.307423i | −0.204999 | − | 0.978762i | \(-0.565719\pi\) |
−0.741150 | + | 0.671340i | \(0.765719\pi\) | |||||||
\(458\) | 22.9076 | + | 31.5296i | 1.07040 | + | 1.47328i | ||||
\(459\) | −5.50956 | − | 4.00293i | −0.257164 | − | 0.186841i | ||||
\(460\) | −20.4641 | − | 24.7348i | −0.954143 | − | 1.15327i | ||||
\(461\) | −20.0772 | −0.935086 | −0.467543 | − | 0.883970i | \(-0.654861\pi\) | ||||
−0.467543 | + | 0.883970i | \(0.654861\pi\) | |||||||
\(462\) | −22.3590 | + | 6.07478i | −1.04023 | + | 0.282624i | ||||
\(463\) | − | 0.962526i | − | 0.0447324i | −0.999750 | − | 0.0223662i | \(-0.992880\pi\) | ||
0.999750 | − | 0.0223662i | \(-0.00711997\pi\) | |||||||
\(464\) | −1.01776 | − | 3.13234i | −0.0472482 | − | 0.145415i | ||||
\(465\) | 2.37534 | + | 0.609783i | 0.110154 | + | 0.0282780i | ||||
\(466\) | 25.4852 | − | 18.5161i | 1.18058 | − | 0.857742i | ||||
\(467\) | 14.1831 | + | 4.60838i | 0.656317 | + | 0.213250i | 0.618197 | − | 0.786023i | \(-0.287863\pi\) |
0.0381194 | + | 0.999273i | \(0.487863\pi\) | |||||||
\(468\) | −5.79264 | − | 1.88214i | −0.267765 | − | 0.0870020i | ||||
\(469\) | −11.1455 | + | 8.09771i | −0.514653 | + | 0.373917i | ||||
\(470\) | 2.49971 | − | 9.73732i | 0.115303 | − | 0.449149i | ||||
\(471\) | −5.68106 | − | 17.4845i | −0.261769 | − | 0.805643i | ||||
\(472\) | 7.73783i | 0.356162i | ||||||||
\(473\) | −0.0894649 | + | 1.82922i | −0.00411360 | + | 0.0841074i | ||||
\(474\) | −8.14701 | −0.374204 | ||||||||
\(475\) | −5.02887 | − | 2.76412i | −0.230741 | − | 0.126827i | ||||
\(476\) | 44.5346 | + | 32.3563i | 2.04124 | + | 1.48305i | ||||
\(477\) | 6.83923 | + | 9.41340i | 0.313147 | + | 0.431010i | ||||
\(478\) | 3.01946 | + | 0.981082i | 0.138107 | + | 0.0448737i | ||||
\(479\) | 0.146946 | − | 0.452253i | 0.00671413 | − | 0.0206640i | −0.947643 | − | 0.319331i | \(-0.896542\pi\) |
0.954357 | + | 0.298667i | \(0.0965419\pi\) | |||||||
\(480\) | 15.1477 | + | 9.61218i | 0.691395 | + | 0.438734i | ||||
\(481\) | −23.3274 | − | 16.9484i | −1.06364 | − | 0.772780i | ||||
\(482\) | 14.2156 | − | 4.61893i | 0.647503 | − | 0.210387i | ||||
\(483\) | 19.5340i | 0.888829i | ||||||||
\(484\) | 23.1250 | − | 13.5673i | 1.05114 | − | 0.616697i | ||||
\(485\) | 5.96412 | − | 2.36164i | 0.270817 | − | 0.107236i | ||||
\(486\) | −0.650947 | − | 2.00341i | −0.0295276 | − | 0.0908765i | ||||
\(487\) | 20.7799 | − | 28.6011i | 0.941629 | − | 1.29604i | −0.0135183 | − | 0.999909i | \(-0.504303\pi\) |
0.955147 | − | 0.296132i | \(-0.0956969\pi\) | |||||||
\(488\) | −4.44786 | − | 6.12196i | −0.201345 | − | 0.277128i | ||||
\(489\) | 5.43005 | − | 16.7120i | 0.245555 | − | 0.755741i | ||||
\(490\) | 1.18321 | + | 18.7947i | 0.0534521 | + | 0.849056i | ||||
\(491\) | 24.3779 | − | 17.7116i | 1.10016 | − | 0.799314i | 0.119075 | − | 0.992885i | \(-0.462007\pi\) |
0.981086 | + | 0.193572i | \(0.0620072\pi\) | |||||||
\(492\) | 1.33605 | − | 1.83891i | 0.0602338 | − | 0.0829047i | ||||
\(493\) | −7.27072 | + | 2.36240i | −0.327457 | + | 0.106397i | ||||
\(494\) | 6.04137 | 0.271814 | ||||||||
\(495\) | 2.39026 | + | 7.02045i | 0.107434 | + | 0.315546i | ||||
\(496\) | 3.21773 | 0.144480 | ||||||||
\(497\) | 39.5326 | − | 12.8449i | 1.77328 | − | 0.576173i | ||||
\(498\) | 7.52879 | − | 10.3625i | 0.337373 | − | 0.464354i | ||||
\(499\) | −29.5127 | + | 21.4422i | −1.32117 | + | 0.959887i | −0.321254 | + | 0.946993i | \(0.604104\pi\) |
−0.999917 | + | 0.0128935i | \(0.995896\pi\) | |||||||
\(500\) | −18.6520 | + | 19.8672i | −0.834145 | + | 0.888487i | ||||
\(501\) | −3.73220 | + | 11.4865i | −0.166743 | + | 0.513181i | ||||
\(502\) | 16.9365 | + | 23.3111i | 0.755914 | + | 1.04043i | ||||
\(503\) | 9.06666 | − | 12.4792i | 0.404262 | − | 0.556420i | −0.557545 | − | 0.830147i | \(-0.688257\pi\) |
0.961807 | + | 0.273727i | \(0.0882566\pi\) | |||||||
\(504\) | 0.944199 | + | 2.90595i | 0.0420580 | + | 0.129441i | ||||
\(505\) | −8.12534 | − | 20.5199i | −0.361573 | − | 0.913122i | ||||
\(506\) | −10.7897 | − | 39.7127i | −0.479659 | − | 1.76544i | ||||
\(507\) | 6.75557i | 0.300025i | ||||||||
\(508\) | 15.5437 | − | 5.05045i | 0.689639 | − | 0.224077i | ||||
\(509\) | 10.2238 | + | 7.42806i | 0.453164 | + | 0.329243i | 0.790844 | − | 0.612018i | \(-0.209642\pi\) |
−0.337680 | + | 0.941261i | \(0.609642\pi\) | |||||||
\(510\) | 17.1872 | − | 27.0851i | 0.761061 | − | 1.19935i | ||||
\(511\) | −5.87991 | + | 18.0965i | −0.260112 | + | 0.800542i | ||||
\(512\) | 27.5288 | + | 8.94464i | 1.21661 | + | 0.395301i | ||||
\(513\) | 0.674597 | + | 0.928503i | 0.0297842 | + | 0.0409944i | ||||
\(514\) | −14.1519 | − | 10.2819i | −0.624213 | − | 0.453517i | ||||
\(515\) | 11.0034 | + | 13.2997i | 0.484866 | + | 0.586055i | ||||
\(516\) | 1.34589 | 0.0592497 | ||||||||
\(517\) | 4.43547 | − | 5.51660i | 0.195072 | − | 0.242620i | ||||
\(518\) | 80.6091i | 3.54176i | ||||||||
\(519\) | 7.49168 | + | 23.0570i | 0.328848 | + | 1.01209i | ||||
\(520\) | 1.28011 | − | 4.98651i | 0.0561364 | − | 0.218673i | ||||
\(521\) | 7.43033 | − | 5.39845i | 0.325529 | − | 0.236510i | −0.413002 | − | 0.910730i | \(-0.635520\pi\) |
0.738531 | + | 0.674220i | \(0.235520\pi\) | |||||||
\(522\) | −2.24896 | − | 0.730731i | −0.0984342 | − | 0.0319832i | ||||
\(523\) | 31.9404 | + | 10.3781i | 1.39665 | + | 0.453801i | 0.908108 | − | 0.418737i | \(-0.137527\pi\) |
0.488547 | + | 0.872537i | \(0.337527\pi\) | |||||||
\(524\) | −15.9275 | + | 11.5720i | −0.695795 | + | 0.505525i | ||||
\(525\) | 16.4507 | − | 2.07954i | 0.717968 | − | 0.0907586i | ||||
\(526\) | 7.24796 | + | 22.3069i | 0.316026 | + | 0.972629i | ||||
\(527\) | − | 7.46893i | − | 0.325352i | ||||||
\(528\) | 5.32820 | + | 8.14236i | 0.231880 | + | 0.354351i | ||||
\(529\) | −11.6952 | −0.508486 | ||||||||
\(530\) | −42.2282 | + | 34.9371i | −1.83428 | + | 1.51757i | ||||
\(531\) | −6.79443 | − | 4.93644i | −0.294853 | − | 0.214223i | ||||
\(532\) | −5.45287 | − | 7.50523i | −0.236412 | − | 0.325393i | ||||
\(533\) | 2.21632 | + | 0.720127i | 0.0959996 | + | 0.0311922i | ||||
\(534\) | 8.19865 | − | 25.2329i | 0.354790 | − | 1.09193i | ||||
\(535\) | −18.5837 | + | 29.2859i | −0.803445 | + | 1.26614i | ||||
\(536\) | −3.09648 | − | 2.24972i | −0.133747 | − | 0.0971731i | ||||
\(537\) | −18.9631 | + | 6.16149i | −0.818319 | + | 0.265888i | ||||
\(538\) | − | 47.9364i | − | 2.06669i | ||||||
\(539\) | −4.70870 | + | 12.3957i | −0.202818 | + | 0.533921i | ||||
\(540\) | 5.06734 | − | 2.00654i | 0.218064 | − | 0.0863476i | ||||
\(541\) | 13.7829 | + | 42.4194i | 0.592573 | + | 1.82375i | 0.566455 | + | 0.824093i | \(0.308315\pi\) |
0.0261178 | + | 0.999659i | \(0.491685\pi\) | |||||||
\(542\) | 9.65093 | − | 13.2834i | 0.414543 | − | 0.570569i | ||||
\(543\) | 3.01704 | + | 4.15260i | 0.129474 | + | 0.178205i | ||||
\(544\) | 16.8842 | − | 51.9643i | 0.723906 | − | 2.22795i | ||||
\(545\) | 15.1715 | − | 0.955118i | 0.649876 | − | 0.0409128i | ||||
\(546\) | −14.1229 | + | 10.2609i | −0.604405 | + | 0.439126i | ||||
\(547\) | −11.3037 | + | 15.5582i | −0.483310 | + | 0.665219i | −0.979137 | − | 0.203202i | \(-0.934865\pi\) |
0.495827 | + | 0.868421i | \(0.334865\pi\) | |||||||
\(548\) | 14.9234 | − | 4.84891i | 0.637497 | − | 0.207135i | ||||
\(549\) | 8.21313 | 0.350528 | ||||||||
\(550\) | −32.2957 | + | 13.3143i | −1.37709 | + | 0.567723i | ||||
\(551\) | 1.28836 | 0.0548860 | ||||||||
\(552\) | −5.16137 | + | 1.67703i | −0.219682 | + | 0.0713791i | ||||
\(553\) | −7.53895 | + | 10.3765i | −0.320589 | + | 0.441252i | ||||
\(554\) | 16.1340 | − | 11.7220i | 0.685468 | − | 0.498022i | ||||
\(555\) | 25.7507 | − | 1.62113i | 1.09306 | − | 0.0688131i | ||||
\(556\) | 5.25402 | − | 16.1702i | 0.222820 | − | 0.685770i | ||||
\(557\) | −19.6126 | − | 26.9944i | −0.831011 | − | 1.14379i | −0.987734 | − | 0.156145i | \(-0.950093\pi\) |
0.156723 | − | 0.987643i | \(-0.449907\pi\) | |||||||
\(558\) | 1.35794 | − | 1.86905i | 0.0574863 | − | 0.0791231i | ||||
\(559\) | 0.426399 | + | 1.31232i | 0.0180348 | + | 0.0555053i | ||||
\(560\) | 20.2285 | − | 8.00997i | 0.854811 | − | 0.338483i | ||||
\(561\) | 18.8999 | − | 12.3677i | 0.797953 | − | 0.522165i | ||||
\(562\) | 65.9370i | 2.78139i | ||||||||
\(563\) | 1.98975 | − | 0.646509i | 0.0838580 | − | 0.0272471i | −0.266788 | − | 0.963755i | \(-0.585962\pi\) |
0.350646 | + | 0.936508i | \(0.385962\pi\) | |||||||
\(564\) | −4.20853 | − | 3.05768i | −0.177211 | − | 0.128752i | ||||
\(565\) | 0.361205 | − | 0.569218i | 0.0151960 | − | 0.0239472i | ||||
\(566\) | −15.8911 | + | 48.9079i | −0.667955 | + | 2.05575i | ||||
\(567\) | −3.15401 | − | 1.02480i | −0.132456 | − | 0.0430376i | ||||
\(568\) | 6.78788 | + | 9.34271i | 0.284813 | + | 0.392011i | ||||
\(569\) | −7.53693 | − | 5.47590i | −0.315964 | − | 0.229562i | 0.418487 | − | 0.908223i | \(-0.362561\pi\) |
−0.734452 | + | 0.678661i | \(0.762561\pi\) | |||||||
\(570\) | −4.16524 | + | 3.44606i | −0.174463 | + | 0.144340i | ||||
\(571\) | 2.32989 | 0.0975029 | 0.0487514 | − | 0.998811i | \(-0.484476\pi\) | ||||
0.0487514 | + | 0.998811i | \(0.484476\pi\) | |||||||
\(572\) | 12.6578 | − | 15.7432i | 0.529251 | − | 0.658254i | ||||
\(573\) | − | 2.81336i | − | 0.117530i | ||||||
\(574\) | −2.01318 | − | 6.19594i | −0.0840286 | − | 0.258614i | ||||
\(575\) | 3.69356 | + | 29.2188i | 0.154032 | + | 1.21851i | ||||
\(576\) | 8.92570 | − | 6.48490i | 0.371904 | − | 0.270204i | ||||
\(577\) | −28.0207 | − | 9.10449i | −1.16652 | − | 0.379025i | −0.339176 | − | 0.940723i | \(-0.610148\pi\) |
−0.827342 | + | 0.561698i | \(0.810148\pi\) | |||||||
\(578\) | −58.8575 | − | 19.1240i | −2.44815 | − | 0.795452i | ||||
\(579\) | −15.6166 | + | 11.3461i | −0.649005 | + | 0.471530i | ||||
\(580\) | 1.52129 | − | 5.92600i | 0.0631680 | − | 0.246064i | ||||
\(581\) | −6.23136 | − | 19.1781i | −0.258520 | − | 0.795643i | ||||
\(582\) | − | 6.04300i | − | 0.250491i | ||||||
\(583\) | −37.2409 | + | 10.1181i | −1.54236 | + | 0.419049i | ||||
\(584\) | −5.28634 | −0.218750 | ||||||||
\(585\) | 3.56189 | + | 4.30524i | 0.147266 | + | 0.178000i | ||||
\(586\) | −20.1431 | − | 14.6348i | −0.832103 | − | 0.604558i | ||||
\(587\) | 24.4029 | + | 33.5877i | 1.00722 | + | 1.38631i | 0.920791 | + | 0.390056i | \(0.127544\pi\) |
0.0864248 | + | 0.996258i | \(0.472456\pi\) | |||||||
\(588\) | 9.26776 | + | 3.01128i | 0.382196 | + | 0.124183i | ||||
\(589\) | −0.388962 | + | 1.19710i | −0.0160269 | + | 0.0493258i | ||||
\(590\) | 21.1954 | − | 33.4015i | 0.872599 | − | 1.37512i | ||||
\(591\) | −2.89592 | − | 2.10401i | −0.119122 | − | 0.0865475i | ||||
\(592\) | 32.1973 | − | 10.4615i | 1.32330 | − | 0.429967i | ||||
\(593\) | 9.36964i | 0.384765i | 0.981320 | + | 0.192383i | \(0.0616214\pi\) | ||||
−0.981320 | + | 0.192383i | \(0.938379\pi\) | |||||||
\(594\) | 6.97816 | + | 0.341294i | 0.286317 | + | 0.0140035i | ||||
\(595\) | −18.5926 | − | 46.9541i | −0.762222 | − | 1.92493i | ||||
\(596\) | −14.3261 | − | 44.0912i | −0.586820 | − | 1.80605i | ||||
\(597\) | −7.46997 | + | 10.2815i | −0.305725 | + | 0.420795i | ||||
\(598\) | −18.2248 | − | 25.0843i | −0.745268 | − | 1.02577i | ||||
\(599\) | −0.406983 | + | 1.25256i | −0.0166289 | + | 0.0511784i | −0.959027 | − | 0.283316i | \(-0.908566\pi\) |
0.942398 | + | 0.334494i | \(0.108566\pi\) | |||||||
\(600\) | 1.96179 | + | 4.16815i | 0.0800896 | + | 0.170164i | ||||
\(601\) | −12.6422 | + | 9.18512i | −0.515688 | + | 0.374669i | −0.814977 | − | 0.579493i | \(-0.803250\pi\) |
0.299289 | + | 0.954162i | \(0.403250\pi\) | |||||||
\(602\) | 2.26739 | − | 3.12080i | 0.0924120 | − | 0.127194i | ||||
\(603\) | 3.95087 | − | 1.28371i | 0.160892 | − | 0.0522769i | ||||
\(604\) | −9.50777 | −0.386866 | ||||||||
\(605\) | −24.5818 | − | 0.857471i | −0.999392 | − | 0.0348611i | ||||
\(606\) | −20.7913 | −0.844588 | ||||||||
\(607\) | −23.0273 | + | 7.48201i | −0.934647 | + | 0.303685i | −0.736462 | − | 0.676479i | \(-0.763505\pi\) |
−0.198186 | + | 0.980165i | \(0.563505\pi\) | |||||||
\(608\) | −5.41233 | + | 7.44943i | −0.219499 | + | 0.302114i | ||||
\(609\) | −3.01180 | + | 2.18820i | −0.122044 | + | 0.0886705i | ||||
\(610\) | 2.43067 | + | 38.6099i | 0.0984150 | + | 1.56327i | ||||
\(611\) | 1.64808 | − | 5.07227i | 0.0666742 | − | 0.205202i | ||||
\(612\) | −9.75666 | − | 13.4289i | −0.394390 | − | 0.542831i | ||||
\(613\) | −2.40187 | + | 3.30589i | −0.0970105 | + | 0.133524i | −0.854763 | − | 0.519019i | \(-0.826298\pi\) |
0.757752 | + | 0.652542i | \(0.226298\pi\) | |||||||
\(614\) | −14.5302 | − | 44.7194i | −0.586392 | − | 1.80473i | ||||
\(615\) | −1.93882 | + | 0.767722i | −0.0781807 | + | 0.0309575i | ||||
\(616\) | −10.1218 | − | 0.495047i | −0.407820 | − | 0.0199460i | ||||
\(617\) | 16.9835i | 0.683731i | 0.939749 | + | 0.341866i | \(0.111059\pi\) | ||||
−0.939749 | + | 0.341866i | \(0.888941\pi\) | |||||||
\(618\) | 15.4654 | − | 5.02501i | 0.622109 | − | 0.202135i | ||||
\(619\) | −25.9942 | − | 18.8859i | −1.04480 | − | 0.759089i | −0.0735802 | − | 0.997289i | \(-0.523442\pi\) |
−0.971216 | + | 0.238200i | \(0.923442\pi\) | |||||||
\(620\) | 5.04696 | + | 3.20262i | 0.202691 | + | 0.128620i | ||||
\(621\) | 1.82019 | − | 5.60197i | 0.0730417 | − | 0.224799i | ||||
\(622\) | −39.0332 | − | 12.6827i | −1.56509 | − | 0.508528i | ||||
\(623\) | −24.5512 | − | 33.7918i | −0.983623 | − | 1.35384i | ||||
\(624\) | 5.93136 | + | 4.30939i | 0.237444 | + | 0.172514i | ||||
\(625\) | 24.2136 | − | 6.22111i | 0.968544 | − | 0.248844i | ||||
\(626\) | 36.5536 | 1.46098 | ||||||||
\(627\) | −3.67330 | + | 0.998011i | −0.146698 | + | 0.0398567i | ||||
\(628\) | − | 44.8095i | − | 1.78809i | ||||||
\(629\) | −24.2831 | − | 74.7358i | −0.968232 | − | 2.97991i | ||||
\(630\) | 3.88415 | − | 15.1303i | 0.154748 | − | 0.602805i | ||||
\(631\) | 5.10947 | − | 3.71225i | 0.203405 | − | 0.147782i | −0.481420 | − | 0.876490i | \(-0.659879\pi\) |
0.684825 | + | 0.728708i | \(0.259879\pi\) | |||||||
\(632\) | −3.38895 | − | 1.10114i | −0.134805 | − | 0.0438008i | ||||
\(633\) | −3.32412 | − | 1.08007i | −0.132122 | − | 0.0429290i | ||||
\(634\) | 1.41571 | − | 1.02857i | 0.0562250 | − | 0.0408499i | ||||
\(635\) | −14.5228 | − | 3.72820i | −0.576320 | − | 0.147949i | ||||
\(636\) | 8.76384 | + | 26.9723i | 0.347509 | + | 1.06952i | ||||
\(637\) | 9.99059i | 0.395842i | ||||||||
\(638\) | 4.91434 | − | 6.11219i | 0.194560 | − | 0.241984i | ||||
\(639\) | −12.5340 | −0.495839 | ||||||||
\(640\) | 10.2550 | + | 12.3952i | 0.405365 | + | 0.489963i | ||||
\(641\) | −11.8814 | − | 8.63236i | −0.469288 | − | 0.340958i | 0.327876 | − | 0.944721i | \(-0.393667\pi\) |
−0.797164 | + | 0.603763i | \(0.793667\pi\) | |||||||
\(642\) | 19.2058 | + | 26.4345i | 0.757993 | + | 1.04329i | ||||
\(643\) | 15.3605 | + | 4.99093i | 0.605759 | + | 0.196823i | 0.595807 | − | 0.803127i | \(-0.296832\pi\) |
0.00995196 | + | 0.999950i | \(0.496832\pi\) | |||||||
\(644\) | −14.7129 | + | 45.2816i | −0.579769 | + | 1.78434i | ||||
\(645\) | −1.04254 | − | 0.661560i | −0.0410501 | − | 0.0260489i | ||||
\(646\) | 13.3200 | + | 9.67758i | 0.524070 | + | 0.380759i | ||||
\(647\) | −26.4273 | + | 8.58676i | −1.03897 | + | 0.337581i | −0.778329 | − | 0.627856i | \(-0.783933\pi\) |
−0.260637 | + | 0.965437i | \(0.583933\pi\) | |||||||
\(648\) | − | 0.921348i | − | 0.0361940i | ||||||
\(649\) | 23.3075 | − | 15.2519i | 0.914898 | − | 0.598691i | ||||
\(650\) | −19.1847 | + | 18.0186i | −0.752488 | + | 0.706746i | ||||
\(651\) | −1.12393 | − | 3.45910i | −0.0440503 | − | 0.135573i | ||||
\(652\) | 25.1747 | − | 34.6499i | 0.985916 | − | 1.35700i | ||||
\(653\) | −20.0232 | − | 27.5595i | −0.783568 | − | 1.07849i | −0.994879 | − | 0.101070i | \(-0.967773\pi\) |
0.211312 | − | 0.977419i | \(-0.432227\pi\) | |||||||
\(654\) | 4.42536 | − | 13.6199i | 0.173045 | − | 0.532579i | ||||
\(655\) | 18.0257 | − | 1.13480i | 0.704322 | − | 0.0443404i | ||||
\(656\) | −2.21354 | + | 1.60823i | −0.0864244 | + | 0.0627910i | ||||
\(657\) | 3.37248 | − | 4.64182i | 0.131573 | − | 0.181095i | ||||
\(658\) | −14.1800 | + | 4.60737i | −0.552795 | + | 0.179614i | ||||
\(659\) | −14.4196 | −0.561709 | −0.280855 | − | 0.959750i | \(-0.590618\pi\) | ||||
−0.280855 | + | 0.959750i | \(0.590618\pi\) | |||||||
\(660\) | 0.253089 | + | 18.0743i | 0.00985147 | + | 0.703542i | ||||
\(661\) | 26.4275 | 1.02791 | 0.513956 | − | 0.857817i | \(-0.328179\pi\) | ||||
0.513956 | + | 0.857817i | \(0.328179\pi\) | |||||||
\(662\) | 63.1697 | − | 20.5251i | 2.45516 | − | 0.797730i | ||||
\(663\) | 10.0029 | − | 13.7678i | 0.388479 | − | 0.534695i | ||||
\(664\) | 4.53236 | − | 3.29295i | 0.175890 | − | 0.127791i | ||||
\(665\) | 0.534733 | + | 8.49393i | 0.0207361 | + | 0.329381i | ||||
\(666\) | 7.51119 | − | 23.1171i | 0.291053 | − | 0.895769i | ||||
\(667\) | −3.88656 | − | 5.34939i | −0.150488 | − | 0.207129i | ||||
\(668\) | −17.3032 | + | 23.8157i | −0.669479 | + | 0.921459i | ||||
\(669\) | 1.60861 | + | 4.95080i | 0.0621925 | + | 0.191409i | ||||
\(670\) | 7.20399 | + | 18.1931i | 0.278314 | + | 0.702860i | ||||
\(671\) | −9.67309 | + | 25.4645i | −0.373426 | + | 0.983047i | ||||
\(672\) | − | 26.6071i | − | 1.02639i | ||||||
\(673\) | 34.5357 | − | 11.2213i | 1.33125 | − | 0.432550i | 0.444908 | − | 0.895576i | \(-0.353236\pi\) |
0.886345 | + | 0.463026i | \(0.153236\pi\) | |||||||
\(674\) | −27.6659 | − | 20.1005i | −1.06565 | − | 0.774241i | ||||
\(675\) | −4.91151 | − | 0.936515i | −0.189044 | − | 0.0360465i | ||||
\(676\) | −5.08824 | + | 15.6600i | −0.195702 | + | 0.602308i | ||||
\(677\) | 10.7890 | + | 3.50556i | 0.414655 | + | 0.134730i | 0.508913 | − | 0.860818i | \(-0.330048\pi\) |
−0.0942574 | + | 0.995548i | \(0.530048\pi\) | |||||||
\(678\) | −0.373296 | − | 0.513798i | −0.0143363 | − | 0.0197323i | ||||
\(679\) | −7.69669 | − | 5.59198i | −0.295372 | − | 0.214600i | ||||
\(680\) | 10.8102 | − | 8.94370i | 0.414552 | − | 0.342975i | ||||
\(681\) | −9.70244 | −0.371798 | ||||||||
\(682\) | 4.19559 | + | 6.41154i | 0.160657 | + | 0.245511i | ||||
\(683\) | − | 39.4269i | − | 1.50863i | −0.656514 | − | 0.754314i | \(-0.727970\pi\) | ||
0.656514 | − | 0.754314i | \(-0.272030\pi\) | |||||||
\(684\) | 0.864433 | + | 2.66045i | 0.0330524 | + | 0.101725i | ||||
\(685\) | −13.9433 | − | 3.57943i | −0.532745 | − | 0.136763i | ||||
\(686\) | −16.9663 | + | 12.3267i | −0.647775 | + | 0.470636i | ||||
\(687\) | −17.5956 | − | 5.71715i | −0.671313 | − | 0.218123i | ||||
\(688\) | −1.54079 | − | 0.500634i | −0.0587421 | − | 0.0190865i | ||||
\(689\) | −23.5230 | + | 17.0905i | −0.896155 | + | 0.651095i | ||||
\(690\) | 26.8735 | + | 6.89880i | 1.02306 | + | 0.262633i | ||||
\(691\) | 4.56613 | + | 14.0531i | 0.173704 | + | 0.534606i | 0.999572 | − | 0.0292578i | \(-0.00931437\pi\) |
−0.825868 | + | 0.563864i | \(0.809314\pi\) | |||||||
\(692\) | 59.0909i | 2.24630i | ||||||||
\(693\) | 6.89203 | − | 8.57194i | 0.261806 | − | 0.325621i | ||||
\(694\) | 26.2260 | 0.995526 | ||||||||
\(695\) | −12.0181 | + | 9.94307i | −0.455874 | + | 0.377162i | ||||
\(696\) | −0.836745 | − | 0.607931i | −0.0317167 | − | 0.0230436i | ||||
\(697\) | 3.73300 | + | 5.13804i | 0.141398 | + | 0.194617i | ||||
\(698\) | −65.3707 | − | 21.2402i | −2.47432 | − | 0.803954i | ||||
\(699\) | −4.62115 | + | 14.2224i | −0.174788 | + | 0.537942i | ||||
\(700\) | 39.7005 | + | 7.56999i | 1.50054 | + | 0.286119i | ||||
\(701\) | 5.76774 | + | 4.19051i | 0.217845 | + | 0.158273i | 0.691356 | − | 0.722514i | \(-0.257014\pi\) |
−0.473511 | + | 0.880788i | \(0.657014\pi\) | |||||||
\(702\) | 5.00629 | − | 1.62664i | 0.188950 | − | 0.0613937i | ||||
\(703\) | 13.2431i | 0.499472i | ||||||||
\(704\) | 9.59389 | + | 35.3115i | 0.361583 | + | 1.33085i | ||||
\(705\) | 1.75701 | + | 4.43717i | 0.0661727 | + | 0.167114i | ||||
\(706\) | −10.2798 | − | 31.6381i | −0.386887 | − | 1.19071i | ||||
\(707\) | −19.2395 | + | 26.4809i | −0.723576 | + | 0.995917i | ||||
\(708\) | −12.0320 | − | 16.5606i | −0.452190 | − | 0.622386i | ||||
\(709\) | 1.65473 | − | 5.09274i | 0.0621447 | − | 0.191262i | −0.915164 | − | 0.403082i | \(-0.867939\pi\) |
0.977309 | + | 0.211820i | \(0.0679390\pi\) | |||||||
\(710\) | −3.70944 | − | 58.9225i | −0.139213 | − | 2.21132i | ||||
\(711\) | 3.12890 | − | 2.27328i | 0.117343 | − | 0.0852548i | ||||
\(712\) | 6.82086 | − | 9.38811i | 0.255623 | − | 0.351834i | ||||
\(713\) | 6.14385 | − | 1.99626i | 0.230089 | − | 0.0747604i | ||||
\(714\) | −47.5751 | −1.78045 | ||||||||
\(715\) | −17.5433 | + | 5.97299i | −0.656082 | + | 0.223377i | ||||
\(716\) | −48.5989 | −1.81623 | ||||||||
\(717\) | −1.43340 | + | 0.465738i | −0.0535311 | + | 0.0173933i | ||||
\(718\) | −22.4880 | + | 30.9520i | −0.839243 | + | 1.15512i | ||||
\(719\) | −32.9940 | + | 23.9716i | −1.23047 | + | 0.893989i | −0.996925 | − | 0.0783569i | \(-0.975033\pi\) |
−0.233545 | + | 0.972346i | \(0.575033\pi\) | |||||||
\(720\) | −6.54751 | + | 0.412197i | −0.244011 | + | 0.0153617i | ||||
\(721\) | 7.91098 | − | 24.3475i | 0.294620 | − | 0.906749i | ||||
\(722\) | 21.8944 | + | 30.1351i | 0.814825 | + | 1.12151i | ||||
\(723\) | −4.17075 | + | 5.74055i | −0.155112 | + | 0.213493i | ||||
\(724\) | 3.86606 | + | 11.8985i | 0.143681 | + | 0.442204i | ||||
\(725\) | −4.09127 | + | 3.84257i | −0.151946 | + | 0.142710i | ||||
\(726\) | −9.27676 | + | 21.2336i | −0.344293 | + | 0.788052i | ||||
\(727\) | − | 28.6101i | − | 1.06109i | −0.847656 | − | 0.530546i | \(-0.821987\pi\) | ||
0.847656 | − | 0.530546i | \(-0.178013\pi\) | |||||||
\(728\) | −7.26162 | + | 2.35944i | −0.269134 | + | 0.0874468i | ||||
\(729\) | 0.809017 | + | 0.587785i | 0.0299636 | + | 0.0217698i | ||||
\(730\) | 22.8193 | + | 14.4803i | 0.844579 | + | 0.535939i | ||||
\(731\) | −1.16206 | + | 3.57646i | −0.0429804 | + | 0.132280i | ||||
\(732\) | 19.0388 | + | 6.18607i | 0.703693 | + | 0.228644i | ||||
\(733\) | 2.58397 | + | 3.55653i | 0.0954412 | + | 0.131364i | 0.854067 | − | 0.520163i | \(-0.174129\pi\) |
−0.758626 | + | 0.651527i | \(0.774129\pi\) | |||||||
\(734\) | −0.804462 | − | 0.584476i | −0.0296932 | − | 0.0215734i | ||||
\(735\) | −5.69875 | − | 6.88804i | −0.210201 | − | 0.254069i | ||||
\(736\) | 47.2579 | 1.74195 | ||||||||
\(737\) | −0.673056 | + | 13.7614i | −0.0247924 | + | 0.506909i | ||||
\(738\) | 1.96446i | 0.0723129i | ||||||||
\(739\) | 3.25000 | + | 10.0025i | 0.119553 | + | 0.367947i | 0.992869 | − | 0.119207i | \(-0.0380352\pi\) |
−0.873316 | + | 0.487154i | \(0.838035\pi\) | |||||||
\(740\) | 60.9134 | + | 15.6373i | 2.23922 | + | 0.574839i | ||||
\(741\) | −2.32022 | + | 1.68574i | −0.0852355 | + | 0.0619272i | ||||
\(742\) | 77.3064 | + | 25.1184i | 2.83801 | + | 0.922125i | ||||
\(743\) | 32.8020 | + | 10.6580i | 1.20339 | + | 0.391005i | 0.841007 | − | 0.541025i | \(-0.181964\pi\) |
0.362382 | + | 0.932030i | \(0.381964\pi\) | |||||||
\(744\) | 0.817487 | − | 0.593939i | 0.0299705 | − | 0.0217749i | ||||
\(745\) | −10.5754 | + | 41.1954i | −0.387453 | + | 1.50928i | ||||
\(746\) | 10.0312 | + | 30.8729i | 0.367269 | + | 1.13034i | ||||
\(747\) | 6.08055i | 0.222476i | ||||||||
\(748\) | 53.1268 | − | 14.4342i | 1.94251 | − | 0.527766i | ||||
\(749\) | 51.4408 | 1.87961 | ||||||||
\(750\) | 2.94899 | − | 23.3661i | 0.107682 | − | 0.853211i | ||||
\(751\) | 1.92630 | + | 1.39954i | 0.0702918 | + | 0.0510700i | 0.622376 | − | 0.782718i | \(-0.286167\pi\) |
−0.552084 | + | 0.833788i | \(0.686167\pi\) | |||||||
\(752\) | 3.68060 | + | 5.06591i | 0.134218 | + | 0.184735i | ||||
\(753\) | −13.0091 | − | 4.22692i | −0.474079 | − | 0.154038i | ||||
\(754\) | 1.82601 | − | 5.61989i | 0.0664995 | − | 0.204664i | ||||
\(755\) | 7.36482 | + | 4.67345i | 0.268033 | + | 0.170084i | ||||
\(756\) | −6.53941 | − | 4.75116i | −0.237836 | − | 0.172798i | ||||
\(757\) | 7.98459 | − | 2.59435i | 0.290205 | − | 0.0942932i | −0.160297 | − | 0.987069i | \(-0.551245\pi\) |
0.450502 | + | 0.892776i | \(0.351245\pi\) | |||||||
\(758\) | 40.6021i | 1.47473i | ||||||||
\(759\) | 15.2250 | + | 12.2412i | 0.552631 | + | 0.444328i | ||||
\(760\) | −2.19840 | + | 0.870508i | −0.0797442 | + | 0.0315767i | ||||
\(761\) | 3.23481 | + | 9.95573i | 0.117262 | + | 0.360895i | 0.992412 | − | 0.122956i | \(-0.0392375\pi\) |
−0.875150 | + | 0.483851i | \(0.839238\pi\) | |||||||
\(762\) | −8.30245 | + | 11.4273i | −0.300766 | + | 0.413969i | ||||
\(763\) | −13.2519 | − | 18.2397i | −0.479752 | − | 0.660322i | ||||
\(764\) | 2.11900 | − | 6.52162i | 0.0766628 | − | 0.235944i | ||||
\(765\) | 0.956783 | + | 15.1980i | 0.0345925 | + | 0.549483i | ||||
\(766\) | 12.6933 | − | 9.22222i | 0.458627 | − | 0.333212i | ||||
\(767\) | 12.3356 | − | 16.9785i | 0.445413 | − | 0.613058i | ||||
\(768\) | −6.57200 | + | 2.13537i | −0.237146 | + | 0.0770536i | ||||
\(769\) | 9.70799 | 0.350079 | 0.175040 | − | 0.984561i | \(-0.443995\pi\) | ||||
0.175040 | + | 0.984561i | \(0.443995\pi\) | |||||||
\(770\) | 42.3363 | + | 29.8625i | 1.52569 | + | 1.07617i | ||||
\(771\) | 8.30411 | 0.299065 | ||||||||
\(772\) | −44.7465 | + | 14.5390i | −1.61046 | + | 0.523271i | ||||
\(773\) | −18.7855 | + | 25.8560i | −0.675668 | + | 0.929977i | −0.999872 | − | 0.0160101i | \(-0.994904\pi\) |
0.324204 | + | 0.945987i | \(0.394904\pi\) | |||||||
\(774\) | −0.941041 | + | 0.683706i | −0.0338250 | + | 0.0245753i | ||||
\(775\) | −2.33522 | − | 4.96157i | −0.0838835 | − | 0.178225i | ||||
\(776\) | 0.816762 | − | 2.51374i | 0.0293201 | − | 0.0902378i | ||||
\(777\) | −22.4926 | − | 30.9584i | −0.806917 | − | 1.11063i | ||||
\(778\) | 0.883833 | − | 1.21649i | 0.0316869 | − | 0.0436133i | ||||
\(779\) | −0.330741 | − | 1.01792i | −0.0118500 | − | 0.0364706i | ||||
\(780\) | 5.01410 | + | 12.6627i | 0.179534 | + | 0.453398i | ||||
\(781\) | 14.7621 | − | 38.8614i | 0.528229 | − | 1.39057i | ||||
\(782\) | − | 84.5001i | − | 3.02172i | ||||||
\(783\) | 1.06762 | − | 0.346892i | 0.0381537 | − | 0.0123969i | ||||
\(784\) | −9.48971 | − | 6.89468i | −0.338918 | − | 0.246239i | ||||
\(785\) | −22.0257 | + | 34.7099i | −0.786129 | + | 1.23885i | ||||
\(786\) | 5.25789 | − | 16.1821i | 0.187543 | − | 0.577197i | ||||
\(787\) | −44.1971 | − | 14.3605i | −1.57545 | − | 0.511896i | −0.614574 | − | 0.788859i | \(-0.710672\pi\) |
−0.960881 | + | 0.276963i | \(0.910672\pi\) | |||||||
\(788\) | −5.12828 | − | 7.05847i | −0.182687 | − | 0.251448i | ||||
\(789\) | −9.00799 | − | 6.54469i | −0.320693 | − | 0.232997i | ||||
\(790\) | 11.6127 | + | 14.0362i | 0.413161 | + | 0.499385i | ||||
\(791\) | −0.999835 | −0.0355500 | ||||||||
\(792\) | 2.85661 | + | 1.08513i | 0.101505 | + | 0.0385583i | ||||
\(793\) | 20.5237i | 0.728817i | ||||||||
\(794\) | 0.497435 | + | 1.53095i | 0.0176533 | + | 0.0543313i | ||||
\(795\) | 6.46941 | − | 25.2008i | 0.229446 | − | 0.893782i | ||||
\(796\) | −25.0600 | + | 18.2072i | −0.888228 | + | 0.645336i | ||||
\(797\) | −30.6576 | − | 9.96126i | −1.08595 | − | 0.352846i | −0.289269 | − | 0.957248i | \(-0.593412\pi\) |
−0.796680 | + | 0.604402i | \(0.793412\pi\) | |||||||
\(798\) | 7.62522 | + | 2.47759i | 0.269930 | + | 0.0877056i | ||||
\(799\) | 11.7589 | − | 8.54334i | 0.416000 | − | 0.302242i | ||||
\(800\) | −5.03095 | − | 39.7986i | −0.177871 | − | 1.40709i | ||||
\(801\) | 3.89206 | + | 11.9785i | 0.137519 | + | 0.423240i | ||||
\(802\) | − | 33.1869i | − | 1.17187i | ||||||
\(803\) | 10.4198 | + | 15.9232i | 0.367708 | + | 0.561918i | ||||
\(804\) | 10.1253 | 0.357093 | ||||||||
\(805\) | 33.6545 | − | 27.8436i | 1.18616 | − | 0.981360i | ||||
\(806\) | 4.67054 | + | 3.39334i | 0.164513 | + | 0.119525i | ||||
\(807\) | 13.3758 | + | 18.4103i | 0.470852 | + | 0.648072i | ||||
\(808\) | −8.64864 | − | 2.81011i | −0.304258 | − | 0.0988595i | ||||
\(809\) | −6.55046 | + | 20.1603i | −0.230302 | + | 0.708797i | 0.767408 | + | 0.641159i | \(0.221546\pi\) |
−0.997710 | + | 0.0676376i | \(0.978454\pi\) | |||||||
\(810\) | −2.52375 | + | 3.97714i | −0.0886754 | + | 0.139742i | ||||
\(811\) | 19.0967 | + | 13.8746i | 0.670578 | + | 0.487203i | 0.870218 | − | 0.492666i | \(-0.163978\pi\) |
−0.199641 | + | 0.979869i | \(0.563978\pi\) | |||||||
\(812\) | −8.62976 | + | 2.80398i | −0.302845 | + | 0.0984004i | ||||
\(813\) | 7.79448i | 0.273364i | ||||||||
\(814\) | 62.8273 | + | 50.5145i | 2.20210 | + | 1.77053i | ||||
\(815\) | −36.5324 | + | 14.4659i | −1.27967 | + | 0.506718i | ||||
\(816\) | 6.17436 | + | 19.0027i | 0.216146 | + | 0.665228i | ||||
\(817\) | 0.372505 | − | 0.512709i | 0.0130323 | − | 0.0179374i | ||||
\(818\) | −3.24526 | − | 4.46672i | −0.113468 | − | 0.156175i | ||||
\(819\) | 2.56086 | − | 7.88152i | 0.0894837 | − | 0.275403i | ||||
\(820\) | −5.07259 | + | 0.319343i | −0.177143 | + | 0.0111520i | ||||
\(821\) | 36.0153 | − | 26.1667i | 1.25694 | − | 0.913223i | 0.258340 | − | 0.966054i | \(-0.416825\pi\) |
0.998603 | + | 0.0528314i | \(0.0168246\pi\) | |||||||
\(822\) | −7.97114 | + | 10.9713i | −0.278026 | + | 0.382669i | ||||
\(823\) | −0.129751 | + | 0.0421588i | −0.00452285 | + | 0.00146956i | −0.311278 | − | 0.950319i | \(-0.600757\pi\) |
0.306755 | + | 0.951789i | \(0.400757\pi\) | |||||||
\(824\) | 7.11238 | 0.247771 | ||||||||
\(825\) | 8.68821 | − | 14.1250i | 0.302485 | − | 0.491769i | ||||
\(826\) | −58.6700 | −2.04139 | ||||||||
\(827\) | −11.1951 | + | 3.63750i | −0.389291 | + | 0.126488i | −0.497121 | − | 0.867681i | \(-0.665610\pi\) |
0.107830 | + | 0.994169i | \(0.465610\pi\) | |||||||
\(828\) | 8.43872 | − | 11.6149i | 0.293266 | − | 0.403646i | ||||
\(829\) | 8.92262 | − | 6.48266i | 0.309895 | − | 0.225152i | −0.421956 | − | 0.906616i | \(-0.638656\pi\) |
0.731852 | + | 0.681464i | \(0.238656\pi\) | |||||||
\(830\) | −28.5846 | + | 1.79954i | −0.992187 | + | 0.0624628i | ||||
\(831\) | −2.92552 | + | 9.00383i | −0.101485 | + | 0.312339i | ||||
\(832\) | 16.2050 | + | 22.3043i | 0.561808 | + | 0.773263i | ||||
\(833\) | −16.0038 | + | 22.0273i | −0.554498 | + | 0.763202i | ||||
\(834\) | 4.54080 | + | 13.9751i | 0.157235 | + | 0.483919i | ||||
\(835\) | 25.1096 | − | 9.94275i | 0.868953 | − | 0.344083i | ||||
\(836\) | −9.26673 | − | 0.453226i | −0.320497 | − | 0.0156751i | ||||
\(837\) | 1.09673i | 0.0379085i | ||||||||
\(838\) | −36.0769 | + | 11.7221i | −1.24626 | + | 0.404933i | ||||
\(839\) | −8.56769 | − | 6.22479i | −0.295790 | − | 0.214904i | 0.429985 | − | 0.902836i | \(-0.358519\pi\) |
−0.725775 | + | 0.687932i | \(0.758519\pi\) | |||||||
\(840\) | 3.66069 | − | 5.76884i | 0.126306 | − | 0.199044i | ||||
\(841\) | −8.57208 | + | 26.3822i | −0.295589 | + | 0.909730i | ||||
\(842\) | 2.34633 | + | 0.762368i | 0.0808598 | + | 0.0262730i | ||||
\(843\) | −18.3986 | − | 25.3235i | −0.633681 | − | 0.872188i | ||||
\(844\) | −6.89209 | − | 5.00740i | −0.237236 | − | 0.172362i | ||||
\(845\) | 11.6389 | − | 9.62934i | 0.400391 | − | 0.331259i | ||||
\(846\) | 4.49586 | 0.154571 | ||||||||
\(847\) | 18.4599 | + | 31.4642i | 0.634288 | + | 1.08112i | ||||
\(848\) | − | 34.1381i | − | 1.17231i | ||||||
\(849\) | −7.54383 | − | 23.2175i | −0.258903 | − | 0.796823i | ||||
\(850\) | −71.1623 | + | 8.99565i | −2.44085 | + | 0.308548i | ||||
\(851\) | 54.9864 | − | 39.9500i | 1.88491 | − | 1.36947i | ||||
\(852\) | −29.0550 | − | 9.44055i | −0.995409 | − | 0.323428i | ||||
\(853\) | −42.3992 | − | 13.7763i | −1.45172 | − | 0.471693i | −0.526190 | − | 0.850367i | \(-0.676380\pi\) |
−0.925530 | + | 0.378674i | \(0.876380\pi\) | |||||||
\(854\) | 46.4181 | − | 33.7247i | 1.58839 | − | 1.15404i | ||||
\(855\) | 0.638118 | − | 2.48572i | 0.0218232 | − | 0.0850098i | ||||
\(856\) | 4.41628 | + | 13.5919i | 0.150945 | + | 0.464562i | ||||
\(857\) | 24.3105i | 0.830430i | 0.909723 | + | 0.415215i | \(0.136294\pi\) | ||||
−0.909723 | + | 0.415215i | \(0.863706\pi\) | |||||||
\(858\) | −0.852855 | + | 17.4376i | −0.0291160 | + | 0.595311i | ||||
\(859\) | 35.5045 | 1.21140 | 0.605699 | − | 0.795694i | \(-0.292893\pi\) | ||||
0.605699 | + | 0.795694i | \(0.292893\pi\) | |||||||
\(860\) | −1.91843 | − | 2.31879i | −0.0654178 | − | 0.0790701i | ||||
\(861\) | 2.50205 | + | 1.81784i | 0.0852695 | + | 0.0619519i | ||||
\(862\) | −43.4502 | − | 59.8040i | −1.47992 | − | 2.03693i | ||||
\(863\) | 11.1007 | + | 3.60684i | 0.377873 | + | 0.122778i | 0.491794 | − | 0.870711i | \(-0.336341\pi\) |
−0.113921 | + | 0.993490i | \(0.536341\pi\) | |||||||
\(864\) | −2.47926 | + | 7.63038i | −0.0843462 | + | 0.259591i | ||||
\(865\) | 29.0455 | − | 45.7725i | 0.987577 | − | 1.55631i | ||||
\(866\) | −31.0609 | − | 22.5670i | −1.05549 | − | 0.766859i | ||||
\(867\) | 27.9408 | − | 9.07851i | 0.948919 | − | 0.308322i | ||||
\(868\) | − | 8.86503i | − | 0.300899i | ||||||
\(869\) | 3.36314 | + | 12.3784i | 0.114087 | + | 0.419910i | ||||
\(870\) | 1.94670 | + | 4.91623i | 0.0659992 | + | 0.166676i | ||||
\(871\) | 3.20786 | + | 9.87276i | 0.108694 | + | 0.334526i | ||||
\(872\) | 3.68167 | − | 5.06739i | 0.124677 | − | 0.171603i | ||||
\(873\) | 1.68620 | + | 2.32085i | 0.0570691 | + | 0.0785489i | ||||
\(874\) | −4.40054 | + | 13.5435i | −0.148850 | + | 0.458115i | ||||
\(875\) | −27.0315 | − | 25.3782i | −0.913831 | − | 0.857939i | ||||
\(876\) | 11.3139 | − | 8.22003i | 0.382261 | − | 0.277729i | ||||
\(877\) | 15.5657 | − | 21.4243i | 0.525615 | − | 0.723447i | −0.460839 | − | 0.887484i | \(-0.652451\pi\) |
0.986454 | + | 0.164036i | \(0.0524515\pi\) | |||||||
\(878\) | −39.6986 | + | 12.8989i | −1.33976 | + | 0.435315i | ||||
\(879\) | 11.8197 | 0.398667 | ||||||||
\(880\) | 6.43339 | − | 20.7858i | 0.216870 | − | 0.700689i | ||||
\(881\) | 10.3488 | 0.348658 | 0.174329 | − | 0.984687i | \(-0.444224\pi\) | ||||
0.174329 | + | 0.984687i | \(0.444224\pi\) | |||||||
\(882\) | −8.00967 | + | 2.60250i | −0.269700 | + | 0.0876307i | ||||
\(883\) | −1.59377 | + | 2.19364i | −0.0536346 | + | 0.0738217i | −0.834992 | − | 0.550262i | \(-0.814528\pi\) |
0.781357 | + | 0.624084i | \(0.214528\pi\) | |||||||
\(884\) | 33.5573 | − | 24.3808i | 1.12865 | − | 0.820015i | ||||
\(885\) | 1.17991 | + | 18.7422i | 0.0396623 | + | 0.630013i | ||||
\(886\) | −10.8633 | + | 33.4338i | −0.364959 | + | 1.12323i | ||||
\(887\) | 0.0721054 | + | 0.0992445i | 0.00242106 | + | 0.00333230i | 0.810226 | − | 0.586118i | \(-0.199344\pi\) |
−0.807805 | + | 0.589450i | \(0.799344\pi\) | |||||||
\(888\) | 6.24893 | − | 8.60092i | 0.209700 | − | 0.288628i | ||||
\(889\) | 6.87169 | + | 21.1489i | 0.230469 | + | 0.709311i | ||||
\(890\) | −55.1590 | + | 21.8416i | −1.84894 | + | 0.732131i | ||||
\(891\) | −2.77523 | + | 1.81606i | −0.0929739 | + | 0.0608403i | ||||
\(892\) | 12.6880i | 0.424825i | ||||||||
\(893\) | −2.32960 | + | 0.756933i | −0.0779571 | + | 0.0253298i | ||||
\(894\) | 32.4148 | + | 23.5507i | 1.08411 | + | 0.787654i | ||||
\(895\) | 37.6453 | + | 23.8883i | 1.25834 | + | 0.798498i | ||||
\(896\) | 7.37296 | − | 22.6916i | 0.246313 | − | 0.758075i | ||||
\(897\) | 13.9987 | + | 4.54845i | 0.467403 | + | 0.151868i | ||||
\(898\) | −16.3403 | − | 22.4904i | −0.545282 | − | 0.750516i | ||||
\(899\) | 0.996022 | + | 0.723652i | 0.0332192 | + | 0.0241352i | ||||
\(900\) | −10.6799 | − | 5.87024i | −0.355998 | − | 0.195675i | ||||
\(901\) | −79.2406 | −2.63989 | ||||||||
\(902\) | −6.09075 | − | 2.31366i | −0.202800 | − | 0.0770365i | ||||
\(903\) | 1.83124i | 0.0609398i | ||||||||
\(904\) | −0.0858376 | − | 0.264181i | −0.00285491 | − | 0.00878652i | ||||
\(905\) | 2.85390 | − | 11.1170i | 0.0948667 | − | 0.369543i | ||||
\(906\) | 6.64777 | − | 4.82989i | 0.220857 | − | 0.160462i | ||||
\(907\) | 13.1424 | + | 4.27023i | 0.436387 | + | 0.141791i | 0.518968 | − | 0.854794i | \(-0.326316\pi\) |
−0.0825812 | + | 0.996584i | \(0.526316\pi\) | |||||||
\(908\) | −22.4911 | − | 7.30780i | −0.746393 | − | 0.242518i | ||||
\(909\) | 7.98501 | − | 5.80145i | 0.264846 | − | 0.192422i | ||||
\(910\) | 37.8088 | + | 9.70605i | 1.25335 | + | 0.321753i | ||||
\(911\) | 7.18645 | + | 22.1176i | 0.238098 | + | 0.732790i | 0.996695 | + | 0.0812302i | \(0.0258849\pi\) |
−0.758598 | + | 0.651559i | \(0.774115\pi\) | |||||||
\(912\) | − | 3.36725i | − | 0.111501i | ||||||
\(913\) | −18.8525 | − | 7.16142i | −0.623928 | − | 0.237009i | ||||
\(914\) | 44.7997 | 1.48184 | ||||||||
\(915\) | −11.7069 | − | 14.1501i | −0.387019 | − | 0.467788i | ||||
\(916\) | −36.4820 | − | 26.5057i | −1.20540 | − | 0.875773i | ||||
\(917\) | −15.7450 | − | 21.6711i | −0.519945 | − | 0.715642i | ||||
\(918\) | 13.6436 | + | 4.43307i | 0.450306 | + | 0.146313i | ||||
\(919\) | −8.16663 | + | 25.1343i | −0.269392 | + | 0.829104i | 0.721257 | + | 0.692668i | \(0.243565\pi\) |
−0.990649 | + | 0.136436i | \(0.956435\pi\) | |||||||
\(920\) | 10.2463 | + | 6.50190i | 0.337809 | + | 0.214361i | ||||
\(921\) | 18.0586 | + | 13.1203i | 0.595051 | + | 0.432330i | ||||
\(922\) | 40.2228 | − | 13.0692i | 1.32467 | − | 0.430410i | ||||
\(923\) | − | 31.3212i | − | 1.03095i | ||||||
\(924\) | 22.4326 | − | 14.6795i | 0.737980 | − | 0.482920i | ||||
\(925\) | −39.4978 | − | 42.0542i | −1.29868 | − | 1.38273i | ||||
\(926\) | 0.626554 | + | 1.92833i | 0.0205898 | + | 0.0633690i | ||||
\(927\) | −4.53743 | + | 6.24523i | −0.149029 | + | 0.205120i | ||||
\(928\) | 5.29383 | + | 7.28634i | 0.173779 | + | 0.239186i | ||||
\(929\) | 2.48284 | − | 7.64138i | 0.0814592 | − | 0.250706i | −0.902030 | − | 0.431674i | \(-0.857923\pi\) |
0.983489 | + | 0.180968i | \(0.0579231\pi\) | |||||||
\(930\) | −5.15572 | + | 0.324576i | −0.169063 | + | 0.0106433i | ||||
\(931\) | 3.71217 | − | 2.69705i | 0.121662 | − | 0.0883923i | ||||
\(932\) | −21.4244 | + | 29.4882i | −0.701781 | + | 0.965919i | ||||
\(933\) | 18.5298 | − | 6.02070i | 0.606639 | − | 0.197109i | ||||
\(934\) | −31.4144 | −1.02791 | ||||||||
\(935\) | −48.2476 | − | 14.9331i | −1.57787 | − | 0.488363i | ||||
\(936\) | 2.30234 | 0.0752545 | ||||||||
\(937\) | 12.8309 | − | 4.16903i | 0.419169 | − | 0.136196i | −0.0918359 | − | 0.995774i | \(-0.529274\pi\) |
0.511005 | + | 0.859578i | \(0.329274\pi\) | |||||||
\(938\) | 17.0579 | − | 23.4782i | 0.556960 | − | 0.766590i | ||||
\(939\) | −14.0386 | + | 10.1997i | −0.458133 | + | 0.332853i | ||||
\(940\) | 0.730849 | + | 11.6091i | 0.0238377 | + | 0.378648i | ||||
\(941\) | −9.85889 | + | 30.3425i | −0.321391 | + | 0.989138i | 0.651653 | + | 0.758517i | \(0.274076\pi\) |
−0.973044 | + | 0.230621i | \(0.925924\pi\) | |||||||
\(942\) | 22.7630 | + | 31.3305i | 0.741657 | + | 1.02080i | ||||
\(943\) | −3.22874 | + | 4.44398i | −0.105142 | + | 0.144716i | ||||
\(944\) | 7.61426 | + | 23.4343i | 0.247823 | + | 0.762721i | ||||
\(945\) | 2.73011 | + | 6.89468i | 0.0888106 | + | 0.224284i | ||||
\(946\) | −1.01149 | − | 3.72290i | −0.0328863 | − | 0.121042i | ||||
\(947\) | 10.2719i | 0.333793i | 0.985974 | + | 0.166896i | \(0.0533745\pi\) | ||||
−0.985974 | + | 0.166896i | \(0.946625\pi\) | |||||||
\(948\) | 8.96529 | − | 2.91300i | 0.291179 | − | 0.0946099i | ||||
\(949\) | 11.5994 | + | 8.42745i | 0.376532 | + | 0.273567i | ||||
\(950\) | 11.8742 | + | 2.26414i | 0.385250 | + | 0.0734585i | ||||
\(951\) | −0.256706 | + | 0.790059i | −0.00832425 | + | 0.0256194i | ||||
\(952\) | −19.7900 | − | 6.43017i | −0.641399 | − | 0.208403i | ||||
\(953\) | 5.78043 | + | 7.95608i | 0.187247 | + | 0.257723i | 0.892312 | − | 0.451420i | \(-0.149082\pi\) |
−0.705065 | + | 0.709143i | \(0.749082\pi\) | |||||||
\(954\) | −19.8294 | − | 14.4069i | −0.642001 | − | 0.466441i | ||||
\(955\) | −4.84704 | + | 4.01014i | −0.156846 | + | 0.129765i | ||||
\(956\) | −3.67353 | −0.118810 | ||||||||
\(957\) | −0.181877 | + | 3.71868i | −0.00587924 | + | 0.120208i | ||||
\(958\) | 1.00170i | 0.0323635i | ||||||||
\(959\) | 6.59748 | + | 20.3050i | 0.213044 | + | 0.655681i | ||||
\(960\) | −23.8952 | − | 6.13424i | −0.771215 | − | 0.197982i | ||||
\(961\) | 24.1064 | − | 17.5143i | 0.777627 | − | 0.564979i | ||||
\(962\) | 57.7669 | + | 18.7696i | 1.86248 | + | 0.605157i | ||||
\(963\) | −14.7522 | − | 4.79328i | −0.475383 | − | 0.154461i | ||||
\(964\) | −13.9919 | + | 10.1657i | −0.450649 | + | 0.327416i | ||||
\(965\) | 41.8077 | + | 10.7326i | 1.34584 | + | 0.345495i | ||||
\(966\) | −12.7156 | − | 39.1347i | −0.409118 | − | 1.25914i | ||||
\(967\) | − | 3.85001i | − | 0.123808i | −0.998082 | − | 0.0619041i | \(-0.980283\pi\) | ||
0.998082 | − | 0.0619041i | \(-0.0197173\pi\) | |||||||
\(968\) | −6.72879 | + | 7.57880i | −0.216272 | + | 0.243592i | ||||
\(969\) | −7.81600 | −0.251086 | ||||||||
\(970\) | −10.4113 | + | 8.61365i | −0.334286 | + | 0.276568i | ||||
\(971\) | −17.3065 | − | 12.5739i | −0.555392 | − | 0.403516i | 0.274378 | − | 0.961622i | \(-0.411528\pi\) |
−0.829769 | + | 0.558106i | \(0.811528\pi\) | |||||||
\(972\) | 1.43266 | + | 1.97188i | 0.0459525 | + | 0.0632482i | ||||
\(973\) | 22.0014 | + | 7.14868i | 0.705332 | + | 0.229176i | ||||
\(974\) | −23.0129 | + | 70.8264i | −0.737381 | + | 2.26942i | ||||
\(975\) | 2.34024 | − | 12.2733i | 0.0749478 | − | 0.393060i | ||||
\(976\) | −19.4947 | − | 14.1637i | −0.624011 | − | 0.453370i | ||||
\(977\) | 15.8523 | − | 5.15071i | 0.507159 | − | 0.164786i | −0.0442509 | − | 0.999020i | \(-0.514090\pi\) |
0.551410 | + | 0.834235i | \(0.314090\pi\) | |||||||
\(978\) | 37.0156i | 1.18363i | ||||||||
\(979\) | −41.7229 | − | 2.04062i | −1.33347 | − | 0.0652185i | ||||
\(980\) | −8.02217 | − | 20.2593i | −0.256259 | − | 0.647161i | ||||
\(981\) | 2.10080 | + | 6.46561i | 0.0670735 | + | 0.206431i | ||||
\(982\) | −37.3097 | + | 51.3524i | −1.19060 | + | 1.63872i | ||||
\(983\) | 30.4808 | + | 41.9532i | 0.972186 | + | 1.33810i | 0.940935 | + | 0.338588i | \(0.109949\pi\) |
0.0312510 | + | 0.999512i | \(0.490051\pi\) | |||||||
\(984\) | −0.265513 | + | 0.817166i | −0.00846426 | + | 0.0260503i | ||||
\(985\) | 0.502902 | + | 7.98832i | 0.0160238 | + | 0.254529i | ||||
\(986\) | 13.0284 | − | 9.46570i | 0.414910 | − | 0.301449i | ||||
\(987\) | 4.16031 | − | 5.72618i | 0.132424 | − | 0.182266i | ||||
\(988\) | −6.64816 | + | 2.16012i | −0.211506 | + | 0.0687226i | ||||
\(989\) | −3.25253 | −0.103425 | ||||||||
\(990\) | −9.35861 | − | 12.5089i | −0.297436 | − | 0.397559i | ||||
\(991\) | 19.8195 | 0.629588 | 0.314794 | − | 0.949160i | \(-0.398065\pi\) | ||||
0.314794 | + | 0.949160i | \(0.398065\pi\) | |||||||
\(992\) | −8.36846 | + | 2.71908i | −0.265699 | + | 0.0863308i | ||||
\(993\) | −18.5335 | + | 25.5092i | −0.588144 | + | 0.809510i | ||||
\(994\) | −70.8386 | + | 51.4672i | −2.24686 | + | 1.63244i | ||||
\(995\) | 28.3613 | − | 1.78548i | 0.899114 | − | 0.0566034i | ||||
\(996\) | −4.57982 | + | 14.0953i | −0.145117 | + | 0.446625i | ||||
\(997\) | 30.3647 | + | 41.7934i | 0.961658 | + | 1.32361i | 0.946150 | + | 0.323730i | \(0.104937\pi\) |
0.0155088 | + | 0.999880i | \(0.495063\pi\) | |||||||
\(998\) | 45.1683 | − | 62.1688i | 1.42978 | − | 1.96792i | ||||
\(999\) | 3.56571 | + | 10.9741i | 0.112814 | + | 0.347206i |
(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 | 165.2.s.a.49.3 | ✓ | 48 | |
3.2 | odd | 2 | 495.2.ba.c.379.10 | 48 | |||
5.2 | odd | 4 | 825.2.n.p.676.2 | 24 | |||
5.3 | odd | 4 | 825.2.n.o.676.5 | 24 | |||
5.4 | even | 2 | inner | 165.2.s.a.49.10 | yes | 48 | |
11.3 | even | 5 | 1815.2.c.j.364.20 | 24 | |||
11.8 | odd | 10 | 1815.2.c.k.364.5 | 24 | |||
11.9 | even | 5 | inner | 165.2.s.a.64.10 | yes | 48 | |
15.14 | odd | 2 | 495.2.ba.c.379.3 | 48 | |||
33.20 | odd | 10 | 495.2.ba.c.64.3 | 48 | |||
55.3 | odd | 20 | 9075.2.a.dz.1.10 | 12 | |||
55.8 | even | 20 | 9075.2.a.dx.1.3 | 12 | |||
55.9 | even | 10 | inner | 165.2.s.a.64.3 | yes | 48 | |
55.14 | even | 10 | 1815.2.c.j.364.5 | 24 | |||
55.19 | odd | 10 | 1815.2.c.k.364.20 | 24 | |||
55.42 | odd | 20 | 825.2.n.p.526.2 | 24 | |||
55.47 | odd | 20 | 9075.2.a.dy.1.3 | 12 | |||
55.52 | even | 20 | 9075.2.a.ea.1.10 | 12 | |||
55.53 | odd | 20 | 825.2.n.o.526.5 | 24 | |||
165.119 | odd | 10 | 495.2.ba.c.64.10 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.s.a.49.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
165.2.s.a.49.10 | yes | 48 | 5.4 | even | 2 | inner | |
165.2.s.a.64.3 | yes | 48 | 55.9 | even | 10 | inner | |
165.2.s.a.64.10 | yes | 48 | 11.9 | even | 5 | inner | |
495.2.ba.c.64.3 | 48 | 33.20 | odd | 10 | |||
495.2.ba.c.64.10 | 48 | 165.119 | odd | 10 | |||
495.2.ba.c.379.3 | 48 | 15.14 | odd | 2 | |||
495.2.ba.c.379.10 | 48 | 3.2 | odd | 2 | |||
825.2.n.o.526.5 | 24 | 55.53 | odd | 20 | |||
825.2.n.o.676.5 | 24 | 5.3 | odd | 4 | |||
825.2.n.p.526.2 | 24 | 55.42 | odd | 20 | |||
825.2.n.p.676.2 | 24 | 5.2 | odd | 4 | |||
1815.2.c.j.364.5 | 24 | 55.14 | even | 10 | |||
1815.2.c.j.364.20 | 24 | 11.3 | even | 5 | |||
1815.2.c.k.364.5 | 24 | 11.8 | odd | 10 | |||
1815.2.c.k.364.20 | 24 | 55.19 | odd | 10 | |||
9075.2.a.dx.1.3 | 12 | 55.8 | even | 20 | |||
9075.2.a.dy.1.3 | 12 | 55.47 | odd | 20 | |||
9075.2.a.dz.1.10 | 12 | 55.3 | odd | 20 | |||
9075.2.a.ea.1.10 | 12 | 55.52 | even | 20 |