Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(13,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.u (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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 139.6 | ||
Character | \(\chi\) | \(=\) | 462.139 |
Dual form | 462.2.u.b.349.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587785 | − | 0.809017i | 0.415627 | − | 0.572061i | ||||
\(3\) | −0.951057 | − | 0.309017i | −0.549093 | − | 0.178411i | ||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | −1.08816 | − | 1.49773i | −0.486641 | − | 0.669804i | 0.493123 | − | 0.869960i | \(-0.335855\pi\) |
−0.979764 | + | 0.200156i | \(0.935855\pi\) | |||||||
\(6\) | −0.809017 | + | 0.587785i | −0.330280 | + | 0.239962i | ||||
\(7\) | −2.64058 | + | 0.165270i | −0.998047 | + | 0.0624663i | ||||
\(8\) | −0.951057 | − | 0.309017i | −0.336249 | − | 0.109254i | ||||
\(9\) | 0.809017 | + | 0.587785i | 0.269672 | + | 0.195928i | ||||
\(10\) | −1.85129 | −0.585430 | ||||||||
\(11\) | 3.19071 | + | 0.905177i | 0.962036 | + | 0.272921i | ||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | −3.89530 | − | 2.83010i | −1.08036 | − | 0.784929i | −0.102616 | − | 0.994721i | \(-0.532721\pi\) |
−0.977746 | + | 0.209792i | \(0.932721\pi\) | |||||||
\(14\) | −1.41839 | + | 2.23342i | −0.379081 | + | 0.596907i | ||||
\(15\) | 0.572081 | + | 1.76068i | 0.147711 | + | 0.454607i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −4.59769 | + | 3.34042i | −1.11510 | + | 0.810170i | −0.983460 | − | 0.181127i | \(-0.942025\pi\) |
−0.131643 | + | 0.991297i | \(0.542025\pi\) | |||||||
\(18\) | 0.951057 | − | 0.309017i | 0.224166 | − | 0.0728360i | ||||
\(19\) | −1.53993 | + | 4.73941i | −0.353283 | + | 1.08729i | 0.603715 | + | 0.797200i | \(0.293687\pi\) |
−0.956998 | + | 0.290094i | \(0.906313\pi\) | |||||||
\(20\) | −1.08816 | + | 1.49773i | −0.243321 | + | 0.334902i | ||||
\(21\) | 2.56242 | + | 0.658804i | 0.559165 | + | 0.143763i | ||||
\(22\) | 2.60776 | − | 2.04929i | 0.555976 | − | 0.436911i | ||||
\(23\) | −4.28567 | −0.893625 | −0.446812 | − | 0.894628i | \(-0.647441\pi\) | ||||
−0.446812 | + | 0.894628i | \(0.647441\pi\) | |||||||
\(24\) | 0.809017 | + | 0.587785i | 0.165140 | + | 0.119981i | ||||
\(25\) | 0.485995 | − | 1.49574i | 0.0971991 | − | 0.299148i | ||||
\(26\) | −4.57920 | + | 1.48787i | −0.898055 | + | 0.291796i | ||||
\(27\) | −0.587785 | − | 0.809017i | −0.113119 | − | 0.155695i | ||||
\(28\) | 0.973167 | + | 2.46027i | 0.183911 | + | 0.464948i | ||||
\(29\) | −7.07198 | + | 2.29783i | −1.31323 | + | 0.426696i | −0.880166 | − | 0.474666i | \(-0.842569\pi\) |
−0.433068 | + | 0.901361i | \(0.642569\pi\) | |||||||
\(30\) | 1.76068 | + | 0.572081i | 0.321456 | + | 0.104447i | ||||
\(31\) | 5.47895 | − | 7.54113i | 0.984049 | − | 1.35443i | 0.0494299 | − | 0.998778i | \(-0.484260\pi\) |
0.934619 | − | 0.355650i | \(-0.115740\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −2.75483 | − | 1.84686i | −0.479555 | − | 0.321497i | ||||
\(34\) | 5.68305i | 0.974636i | ||||||||
\(35\) | 3.12092 | + | 3.77504i | 0.527531 | + | 0.638097i | ||||
\(36\) | 0.309017 | − | 0.951057i | 0.0515028 | − | 0.158509i | ||||
\(37\) | 1.14721 | + | 3.53075i | 0.188600 | + | 0.580452i | 0.999992 | − | 0.00405123i | \(-0.00128955\pi\) |
−0.811392 | + | 0.584503i | \(0.801290\pi\) | |||||||
\(38\) | 2.92911 | + | 4.03158i | 0.475165 | + | 0.654009i | ||||
\(39\) | 2.83010 | + | 3.89530i | 0.453179 | + | 0.623747i | ||||
\(40\) | 0.572081 | + | 1.76068i | 0.0904539 | + | 0.278389i | ||||
\(41\) | 0.770735 | − | 2.37208i | 0.120369 | − | 0.370457i | −0.872660 | − | 0.488328i | \(-0.837607\pi\) |
0.993029 | + | 0.117871i | \(0.0376070\pi\) | |||||||
\(42\) | 2.03913 | − | 1.68580i | 0.314645 | − | 0.260125i | ||||
\(43\) | − | 11.6765i | − | 1.78065i | −0.455325 | − | 0.890326i | \(-0.650477\pi\) | ||
0.455325 | − | 0.890326i | \(-0.349523\pi\) | |||||||
\(44\) | −0.125111 | − | 3.31426i | −0.0188612 | − | 0.499644i | ||||
\(45\) | − | 1.85129i | − | 0.275974i | ||||||
\(46\) | −2.51906 | + | 3.46718i | −0.371414 | + | 0.511208i | ||||
\(47\) | 1.28314 | + | 0.416917i | 0.187165 | + | 0.0608136i | 0.401100 | − | 0.916034i | \(-0.368628\pi\) |
−0.213935 | + | 0.976848i | \(0.568628\pi\) | |||||||
\(48\) | 0.951057 | − | 0.309017i | 0.137273 | − | 0.0446028i | ||||
\(49\) | 6.94537 | − | 0.872820i | 0.992196 | − | 0.124689i | ||||
\(50\) | −0.924418 | − | 1.27235i | −0.130732 | − | 0.179938i | ||||
\(51\) | 5.40491 | − | 1.75616i | 0.756838 | − | 0.245912i | ||||
\(52\) | −1.48787 | + | 4.57920i | −0.206331 | + | 0.635021i | ||||
\(53\) | −8.64436 | − | 6.28050i | −1.18739 | − | 0.862693i | −0.194408 | − | 0.980921i | \(-0.562279\pi\) |
−0.992986 | + | 0.118228i | \(0.962279\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | −2.11631 | − | 5.76380i | −0.285363 | − | 0.777191i | ||||
\(56\) | 2.56242 | + | 0.658804i | 0.342417 | + | 0.0880364i | ||||
\(57\) | 2.92911 | − | 4.03158i | 0.387971 | − | 0.533996i | ||||
\(58\) | −2.29783 | + | 7.07198i | −0.301719 | + | 0.928597i | ||||
\(59\) | 6.16590 | − | 2.00342i | 0.802732 | − | 0.260823i | 0.121215 | − | 0.992626i | \(-0.461321\pi\) |
0.681516 | + | 0.731803i | \(0.261321\pi\) | |||||||
\(60\) | 1.49773 | − | 1.08816i | 0.193356 | − | 0.140481i | ||||
\(61\) | −9.01388 | + | 6.54896i | −1.15411 | + | 0.838509i | −0.989022 | − | 0.147770i | \(-0.952790\pi\) |
−0.165087 | + | 0.986279i | \(0.552790\pi\) | |||||||
\(62\) | −2.88046 | − | 8.86513i | −0.365818 | − | 1.12587i | ||||
\(63\) | −2.23342 | − | 1.41839i | −0.281385 | − | 0.178700i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 8.91371i | 1.10561i | ||||||||
\(66\) | −3.11339 | + | 1.14315i | −0.383232 | + | 0.140712i | ||||
\(67\) | −0.825302 | −0.100827 | −0.0504134 | − | 0.998728i | \(-0.516054\pi\) | ||||
−0.0504134 | + | 0.998728i | \(0.516054\pi\) | |||||||
\(68\) | 4.59769 | + | 3.34042i | 0.557552 | + | 0.405085i | ||||
\(69\) | 4.07592 | + | 1.32435i | 0.490683 | + | 0.159432i | ||||
\(70\) | 4.88850 | − | 0.305964i | 0.584287 | − | 0.0365696i | ||||
\(71\) | −4.25924 | + | 3.09452i | −0.505479 | + | 0.367252i | −0.811106 | − | 0.584900i | \(-0.801134\pi\) |
0.305627 | + | 0.952151i | \(0.401134\pi\) | |||||||
\(72\) | −0.587785 | − | 0.809017i | −0.0692712 | − | 0.0953436i | ||||
\(73\) | −1.97557 | − | 6.08018i | −0.231223 | − | 0.711631i | −0.997600 | − | 0.0692403i | \(-0.977942\pi\) |
0.766377 | − | 0.642391i | \(-0.222058\pi\) | |||||||
\(74\) | 3.53075 | + | 1.14721i | 0.410441 | + | 0.133360i | ||||
\(75\) | −0.924418 | + | 1.27235i | −0.106743 | + | 0.146919i | ||||
\(76\) | 4.98331 | 0.571624 | ||||||||
\(77\) | −8.57495 | − | 1.86287i | −0.977206 | − | 0.212293i | ||||
\(78\) | 4.81485 | 0.545175 | ||||||||
\(79\) | 7.82401 | − | 10.7688i | 0.880270 | − | 1.21159i | −0.0960756 | − | 0.995374i | \(-0.530629\pi\) |
0.976346 | − | 0.216214i | \(-0.0693709\pi\) | |||||||
\(80\) | 1.76068 | + | 0.572081i | 0.196850 | + | 0.0639606i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | −1.46603 | − | 2.01781i | −0.161895 | − | 0.222830i | ||||
\(83\) | 8.22320 | − | 5.97450i | 0.902613 | − | 0.655787i | −0.0365226 | − | 0.999333i | \(-0.511628\pi\) |
0.939136 | + | 0.343546i | \(0.111628\pi\) | |||||||
\(84\) | −0.165270 | − | 2.64058i | −0.0180325 | − | 0.288111i | ||||
\(85\) | 10.0061 | + | 3.25117i | 1.08531 | + | 0.352639i | ||||
\(86\) | −9.44649 | − | 6.86328i | −1.01864 | − | 0.740087i | ||||
\(87\) | 7.43592 | 0.797214 | ||||||||
\(88\) | −2.75483 | − | 1.84686i | −0.293666 | − | 0.196876i | ||||
\(89\) | 9.76208i | 1.03478i | 0.855750 | + | 0.517389i | \(0.173096\pi\) | ||||
−0.855750 | + | 0.517389i | \(0.826904\pi\) | |||||||
\(90\) | −1.49773 | − | 1.08816i | −0.157874 | − | 0.114702i | ||||
\(91\) | 10.7536 | + | 6.82934i | 1.12728 | + | 0.715910i | ||||
\(92\) | 1.32435 | + | 4.07592i | 0.138073 | + | 0.424944i | ||||
\(93\) | −7.54113 | + | 5.47895i | −0.781979 | + | 0.568141i | ||||
\(94\) | 1.09150 | − | 0.793023i | 0.112580 | − | 0.0817941i | ||||
\(95\) | 8.77403 | − | 2.85086i | 0.900196 | − | 0.292492i | ||||
\(96\) | 0.309017 | − | 0.951057i | 0.0315389 | − | 0.0970668i | ||||
\(97\) | 10.0905 | − | 13.8883i | 1.02453 | − | 1.41015i | 0.115553 | − | 0.993301i | \(-0.463136\pi\) |
0.908978 | − | 0.416844i | \(-0.136864\pi\) | |||||||
\(98\) | 3.37626 | − | 6.13195i | 0.341054 | − | 0.619421i | ||||
\(99\) | 2.04929 | + | 2.60776i | 0.205962 | + | 0.262090i | ||||
\(100\) | −1.57271 | −0.157271 | ||||||||
\(101\) | −0.520155 | − | 0.377915i | −0.0517574 | − | 0.0376039i | 0.561606 | − | 0.827405i | \(-0.310184\pi\) |
−0.613363 | + | 0.789801i | \(0.710184\pi\) | |||||||
\(102\) | 1.75616 | − | 5.40491i | 0.173886 | − | 0.535165i | ||||
\(103\) | −8.07770 | + | 2.62460i | −0.795920 | + | 0.258610i | −0.678623 | − | 0.734487i | \(-0.737423\pi\) |
−0.117297 | + | 0.993097i | \(0.537423\pi\) | |||||||
\(104\) | 2.83010 | + | 3.89530i | 0.277514 | + | 0.381965i | ||||
\(105\) | −1.80162 | − | 4.55469i | −0.175820 | − | 0.444492i | ||||
\(106\) | −10.1621 | + | 3.30185i | −0.987026 | + | 0.320704i | ||||
\(107\) | −6.26117 | − | 2.03438i | −0.605291 | − | 0.196671i | −0.00969198 | − | 0.999953i | \(-0.503085\pi\) |
−0.595599 | + | 0.803282i | \(0.703085\pi\) | |||||||
\(108\) | −0.587785 | + | 0.809017i | −0.0565597 | + | 0.0778477i | ||||
\(109\) | − | 12.6209i | − | 1.20886i | −0.796657 | − | 0.604431i | \(-0.793401\pi\) | ||
0.796657 | − | 0.604431i | \(-0.206599\pi\) | |||||||
\(110\) | −5.90695 | − | 1.67575i | −0.563205 | − | 0.159776i | ||||
\(111\) | − | 3.71245i | − | 0.352370i | ||||||
\(112\) | 2.03913 | − | 1.68580i | 0.192680 | − | 0.159293i | ||||
\(113\) | −2.04174 | + | 6.28384i | −0.192071 | + | 0.591133i | 0.807927 | + | 0.589282i | \(0.200589\pi\) |
−0.999998 | + | 0.00185141i | \(0.999411\pi\) | |||||||
\(114\) | −1.53993 | − | 4.73941i | −0.144227 | − | 0.443886i | ||||
\(115\) | 4.66351 | + | 6.41877i | 0.434875 | + | 0.598553i | ||||
\(116\) | 4.37073 | + | 6.01579i | 0.405812 | + | 0.558552i | ||||
\(117\) | −1.48787 | − | 4.57920i | −0.137554 | − | 0.423347i | ||||
\(118\) | 2.00342 | − | 6.16590i | 0.184430 | − | 0.567617i | ||||
\(119\) | 11.5885 | − | 9.58051i | 1.06232 | − | 0.878244i | ||||
\(120\) | − | 1.85129i | − | 0.168999i | ||||||
\(121\) | 9.36131 | + | 5.77632i | 0.851028 | + | 0.525120i | ||||
\(122\) | 11.1418i | 1.00873i | ||||||||
\(123\) | −1.46603 | + | 2.01781i | −0.132187 | + | 0.181940i | ||||
\(124\) | −8.86513 | − | 2.88046i | −0.796113 | − | 0.258673i | ||||
\(125\) | −11.5725 | + | 3.76012i | −1.03507 | + | 0.336316i | ||||
\(126\) | −2.46027 | + | 0.973167i | −0.219179 | + | 0.0866966i | ||||
\(127\) | 4.45816 | + | 6.13613i | 0.395598 | + | 0.544494i | 0.959632 | − | 0.281257i | \(-0.0907515\pi\) |
−0.564034 | + | 0.825751i | \(0.690751\pi\) | |||||||
\(128\) | 0.951057 | − | 0.309017i | 0.0840623 | − | 0.0273135i | ||||
\(129\) | −3.60824 | + | 11.1050i | −0.317688 | + | 0.977743i | ||||
\(130\) | 7.21134 | + | 5.23935i | 0.632476 | + | 0.459521i | ||||
\(131\) | −8.39371 | −0.733362 | −0.366681 | − | 0.930347i | \(-0.619506\pi\) | ||||
−0.366681 | + | 0.930347i | \(0.619506\pi\) | |||||||
\(132\) | −0.905177 | + | 3.19071i | −0.0787855 | + | 0.277716i | ||||
\(133\) | 3.28302 | − | 12.7693i | 0.284674 | − | 1.10724i | ||||
\(134\) | −0.485100 | + | 0.667683i | −0.0419063 | + | 0.0576791i | ||||
\(135\) | −0.572081 | + | 1.76068i | −0.0492369 | + | 0.151536i | ||||
\(136\) | 5.40491 | − | 1.75616i | 0.463467 | − | 0.150590i | ||||
\(137\) | −0.578005 | + | 0.419945i | −0.0493823 | + | 0.0358783i | −0.612203 | − | 0.790701i | \(-0.709716\pi\) |
0.562820 | + | 0.826579i | \(0.309716\pi\) | |||||||
\(138\) | 3.46718 | − | 2.51906i | 0.295146 | − | 0.214436i | ||||
\(139\) | 1.86114 | + | 5.72799i | 0.157860 | + | 0.485842i | 0.998439 | − | 0.0558460i | \(-0.0177856\pi\) |
−0.840580 | + | 0.541688i | \(0.817786\pi\) | |||||||
\(140\) | 2.62586 | − | 4.13472i | 0.221925 | − | 0.349447i | ||||
\(141\) | −1.09150 | − | 0.793023i | −0.0919211 | − | 0.0667846i | ||||
\(142\) | 5.26471i | 0.441805i | ||||||||
\(143\) | −9.86704 | − | 12.5560i | −0.825124 | − | 1.04998i | ||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 11.1370 | + | 8.09149i | 0.924876 | + | 0.671962i | ||||
\(146\) | −6.08018 | − | 1.97557i | −0.503199 | − | 0.163499i | ||||
\(147\) | −6.87516 | − | 1.31614i | −0.567053 | − | 0.108553i | ||||
\(148\) | 3.00344 | − | 2.18212i | 0.246881 | − | 0.179369i | ||||
\(149\) | −7.02738 | − | 9.67235i | −0.575705 | − | 0.792390i | 0.417511 | − | 0.908672i | \(-0.362902\pi\) |
−0.993216 | + | 0.116282i | \(0.962902\pi\) | |||||||
\(150\) | 0.485995 | + | 1.49574i | 0.0396814 | + | 0.122127i | ||||
\(151\) | −21.5136 | − | 6.99018i | −1.75075 | − | 0.568853i | −0.754573 | − | 0.656216i | \(-0.772156\pi\) |
−0.996177 | + | 0.0873628i | \(0.972156\pi\) | |||||||
\(152\) | 2.92911 | − | 4.03158i | 0.237583 | − | 0.327004i | ||||
\(153\) | −5.68305 | −0.459448 | ||||||||
\(154\) | −6.54732 | + | 5.84231i | −0.527598 | + | 0.470787i | ||||
\(155\) | −17.2566 | −1.38608 | ||||||||
\(156\) | 2.83010 | − | 3.89530i | 0.226589 | − | 0.311874i | ||||
\(157\) | −4.45321 | − | 1.44694i | −0.355405 | − | 0.115478i | 0.125872 | − | 0.992046i | \(-0.459827\pi\) |
−0.481277 | + | 0.876568i | \(0.659827\pi\) | |||||||
\(158\) | −4.11333 | − | 12.6595i | −0.327239 | − | 1.00714i | ||||
\(159\) | 6.28050 | + | 8.64436i | 0.498076 | + | 0.685543i | ||||
\(160\) | 1.49773 | − | 1.08816i | 0.118406 | − | 0.0860268i | ||||
\(161\) | 11.3167 | − | 0.708294i | 0.891879 | − | 0.0558214i | ||||
\(162\) | 0.951057 | + | 0.309017i | 0.0747221 | + | 0.0242787i | ||||
\(163\) | 5.24338 | + | 3.80954i | 0.410693 | + | 0.298386i | 0.773882 | − | 0.633329i | \(-0.218312\pi\) |
−0.363189 | + | 0.931715i | \(0.618312\pi\) | |||||||
\(164\) | −2.49415 | −0.194761 | ||||||||
\(165\) | 0.231617 | + | 6.13567i | 0.0180313 | + | 0.477662i | ||||
\(166\) | − | 10.1644i | − | 0.788913i | ||||||
\(167\) | 19.3438 | + | 14.0541i | 1.49687 | + | 1.08754i | 0.971609 | + | 0.236592i | \(0.0760305\pi\) |
0.525256 | + | 0.850944i | \(0.323969\pi\) | |||||||
\(168\) | −2.23342 | − | 1.41839i | −0.172312 | − | 0.109431i | ||||
\(169\) | 3.14666 | + | 9.68444i | 0.242051 | + | 0.744957i | ||||
\(170\) | 8.51167 | − | 6.18409i | 0.652815 | − | 0.474298i | ||||
\(171\) | −4.03158 | + | 2.92911i | −0.308303 | + | 0.223995i | ||||
\(172\) | −11.1050 | + | 3.60824i | −0.846750 | + | 0.275126i | ||||
\(173\) | −4.13140 | + | 12.7151i | −0.314104 | + | 0.966714i | 0.662017 | + | 0.749489i | \(0.269701\pi\) |
−0.976121 | + | 0.217225i | \(0.930299\pi\) | |||||||
\(174\) | 4.37073 | − | 6.01579i | 0.331344 | − | 0.456056i | ||||
\(175\) | −1.03611 | + | 4.02995i | −0.0783226 | + | 0.304635i | ||||
\(176\) | −3.11339 | + | 1.14315i | −0.234681 | + | 0.0861683i | ||||
\(177\) | −6.48321 | −0.487308 | ||||||||
\(178\) | 7.89769 | + | 5.73801i | 0.591957 | + | 0.430082i | ||||
\(179\) | 1.23096 | − | 3.78852i | 0.0920065 | − | 0.283167i | −0.894455 | − | 0.447157i | \(-0.852437\pi\) |
0.986462 | + | 0.163990i | \(0.0524365\pi\) | |||||||
\(180\) | −1.76068 | + | 0.572081i | −0.131234 | + | 0.0426404i | ||||
\(181\) | −7.13647 | − | 9.82251i | −0.530450 | − | 0.730101i | 0.456749 | − | 0.889596i | \(-0.349014\pi\) |
−0.987199 | + | 0.159494i | \(0.949014\pi\) | |||||||
\(182\) | 11.8459 | − | 4.68566i | 0.878074 | − | 0.347324i | ||||
\(183\) | 10.5964 | − | 3.44299i | 0.783312 | − | 0.254513i | ||||
\(184\) | 4.07592 | + | 1.32435i | 0.300481 | + | 0.0976321i | ||||
\(185\) | 4.03975 | − | 5.56024i | 0.297008 | − | 0.408797i | ||||
\(186\) | 9.32135i | 0.683475i | ||||||||
\(187\) | −17.6936 | + | 6.49659i | −1.29388 | + | 0.475078i | ||||
\(188\) | − | 1.34917i | − | 0.0983985i | ||||||
\(189\) | 1.68580 | + | 2.03913i | 0.122624 | + | 0.148325i | ||||
\(190\) | 2.85086 | − | 8.77403i | 0.206823 | − | 0.636535i | ||||
\(191\) | −0.457789 | − | 1.40893i | −0.0331245 | − | 0.101947i | 0.933127 | − | 0.359546i | \(-0.117068\pi\) |
−0.966252 | + | 0.257600i | \(0.917068\pi\) | |||||||
\(192\) | −0.587785 | − | 0.809017i | −0.0424197 | − | 0.0583858i | ||||
\(193\) | 7.63207 | + | 10.5046i | 0.549369 | + | 0.756141i | 0.989926 | − | 0.141583i | \(-0.0452192\pi\) |
−0.440558 | + | 0.897724i | \(0.645219\pi\) | |||||||
\(194\) | −5.30487 | − | 16.3267i | −0.380867 | − | 1.17219i | ||||
\(195\) | 2.75449 | − | 8.47744i | 0.197253 | − | 0.607082i | ||||
\(196\) | −2.97634 | − | 6.33572i | −0.212596 | − | 0.452552i | ||||
\(197\) | 12.3214i | 0.877863i | 0.898521 | + | 0.438932i | \(0.144643\pi\) | ||||
−0.898521 | + | 0.438932i | \(0.855357\pi\) | |||||||
\(198\) | 3.31426 | − | 0.125111i | 0.235535 | − | 0.00889124i | ||||
\(199\) | 5.37272i | 0.380862i | 0.981701 | + | 0.190431i | \(0.0609885\pi\) | ||||
−0.981701 | + | 0.190431i | \(0.939011\pi\) | |||||||
\(200\) | −0.924418 | + | 1.27235i | −0.0653662 | + | 0.0899689i | ||||
\(201\) | 0.784909 | + | 0.255032i | 0.0553632 | + | 0.0179886i | ||||
\(202\) | −0.611479 | + | 0.198682i | −0.0430235 | + | 0.0139792i | ||||
\(203\) | 18.2944 | − | 7.23639i | 1.28402 | − | 0.507895i | ||||
\(204\) | −3.34042 | − | 4.59769i | −0.233876 | − | 0.321903i | ||||
\(205\) | −4.39141 | + | 1.42686i | −0.306710 | + | 0.0996560i | ||||
\(206\) | −2.62460 | + | 8.07770i | −0.182865 | + | 0.562800i | ||||
\(207\) | −3.46718 | − | 2.51906i | −0.240986 | − | 0.175086i | ||||
\(208\) | 4.81485 | 0.333850 | ||||||||
\(209\) | −9.20346 | + | 13.7282i | −0.636617 | + | 0.949598i | ||||
\(210\) | −4.74378 | − | 1.21964i | −0.327352 | − | 0.0841631i | ||||
\(211\) | −1.03116 | + | 1.41928i | −0.0709883 | + | 0.0977070i | −0.843035 | − | 0.537859i | \(-0.819233\pi\) |
0.772046 | + | 0.635566i | \(0.219233\pi\) | |||||||
\(212\) | −3.30185 | + | 10.1621i | −0.226772 | + | 0.697933i | ||||
\(213\) | 5.00704 | − | 1.62688i | 0.343076 | − | 0.111472i | ||||
\(214\) | −5.32607 | + | 3.86962i | −0.364083 | + | 0.264522i | ||||
\(215\) | −17.4882 | + | 12.7059i | −1.19269 | + | 0.866538i | ||||
\(216\) | 0.309017 | + | 0.951057i | 0.0210259 | + | 0.0647112i | ||||
\(217\) | −13.2213 | + | 20.8185i | −0.897521 | + | 1.41325i | ||||
\(218\) | −10.2105 | − | 7.41837i | −0.691543 | − | 0.502436i | ||||
\(219\) | 6.39308i | 0.432004i | ||||||||
\(220\) | −4.82772 | + | 3.79384i | −0.325485 | + | 0.255781i | ||||
\(221\) | 27.3631 | 1.84064 | ||||||||
\(222\) | −3.00344 | − | 2.18212i | −0.201577 | − | 0.146455i | ||||
\(223\) | 16.7455 | + | 5.44094i | 1.12136 | + | 0.364352i | 0.810287 | − | 0.586034i | \(-0.199311\pi\) |
0.311074 | + | 0.950386i | \(0.399311\pi\) | |||||||
\(224\) | −0.165270 | − | 2.64058i | −0.0110426 | − | 0.176431i | ||||
\(225\) | 1.27235 | − | 0.924418i | 0.0848235 | − | 0.0616279i | ||||
\(226\) | 3.88362 | + | 5.34535i | 0.258335 | + | 0.355567i | ||||
\(227\) | 2.89812 | + | 8.91948i | 0.192355 | + | 0.592007i | 0.999997 | + | 0.00233450i | \(0.000743096\pi\) |
−0.807643 | + | 0.589672i | \(0.799257\pi\) | |||||||
\(228\) | −4.73941 | − | 1.53993i | −0.313875 | − | 0.101984i | ||||
\(229\) | 1.39524 | − | 1.92038i | 0.0921999 | − | 0.126902i | −0.760425 | − | 0.649426i | \(-0.775009\pi\) |
0.852625 | + | 0.522524i | \(0.175009\pi\) | |||||||
\(230\) | 7.93404 | 0.523155 | ||||||||
\(231\) | 7.57960 | + | 4.42149i | 0.498701 | + | 0.290913i | ||||
\(232\) | 7.43592 | 0.488192 | ||||||||
\(233\) | −3.79886 | + | 5.22868i | −0.248871 | + | 0.342542i | −0.915116 | − | 0.403192i | \(-0.867901\pi\) |
0.666244 | + | 0.745734i | \(0.267901\pi\) | |||||||
\(234\) | −4.57920 | − | 1.48787i | −0.299352 | − | 0.0972652i | ||||
\(235\) | −0.771836 | − | 2.37547i | −0.0503490 | − | 0.154958i | ||||
\(236\) | −3.81073 | − | 5.24503i | −0.248058 | − | 0.341422i | ||||
\(237\) | −10.7688 | + | 7.82401i | −0.699511 | + | 0.508224i | ||||
\(238\) | −0.939239 | − | 15.0066i | −0.0608818 | − | 0.972732i | ||||
\(239\) | 21.1510 | + | 6.87238i | 1.36815 | + | 0.444537i | 0.898754 | − | 0.438453i | \(-0.144473\pi\) |
0.469391 | + | 0.882990i | \(0.344473\pi\) | |||||||
\(240\) | −1.49773 | − | 1.08816i | −0.0966779 | − | 0.0702406i | ||||
\(241\) | −26.4087 | −1.70113 | −0.850566 | − | 0.525869i | \(-0.823740\pi\) | ||||
−0.850566 | + | 0.525869i | \(0.823740\pi\) | |||||||
\(242\) | 10.1756 | − | 4.17822i | 0.654111 | − | 0.268586i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 9.01388 | + | 6.54896i | 0.577054 | + | 0.419254i | ||||
\(245\) | −8.86494 | − | 9.45250i | −0.566360 | − | 0.603898i | ||||
\(246\) | 0.770735 | + | 2.37208i | 0.0491403 | + | 0.151238i | ||||
\(247\) | 19.4115 | − | 14.1033i | 1.23512 | − | 0.897369i | ||||
\(248\) | −7.54113 | + | 5.47895i | −0.478862 | + | 0.347914i | ||||
\(249\) | −9.66695 | + | 3.14098i | −0.612618 | + | 0.199052i | ||||
\(250\) | −3.76012 | + | 11.5725i | −0.237811 | + | 0.731908i | ||||
\(251\) | 13.9848 | − | 19.2485i | 0.882715 | − | 1.21495i | −0.0929467 | − | 0.995671i | \(-0.529629\pi\) |
0.975662 | − | 0.219282i | \(-0.0703714\pi\) | |||||||
\(252\) | −0.658804 | + | 2.56242i | −0.0415008 | + | 0.161417i | ||||
\(253\) | −13.6744 | − | 3.87929i | −0.859699 | − | 0.243889i | ||||
\(254\) | 7.58468 | 0.475905 | ||||||||
\(255\) | −8.51167 | − | 6.18409i | −0.533021 | − | 0.387263i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −21.3366 | + | 6.93269i | −1.33094 | + | 0.432450i | −0.886239 | − | 0.463228i | \(-0.846691\pi\) |
−0.444704 | + | 0.895678i | \(0.646691\pi\) | |||||||
\(258\) | 6.86328 | + | 9.44649i | 0.427289 | + | 0.588113i | ||||
\(259\) | −3.61283 | − | 9.13364i | −0.224491 | − | 0.567537i | ||||
\(260\) | 8.47744 | − | 2.75449i | 0.525748 | − | 0.170826i | ||||
\(261\) | −7.07198 | − | 2.29783i | −0.437745 | − | 0.142232i | ||||
\(262\) | −4.93370 | + | 6.79065i | −0.304805 | + | 0.419528i | ||||
\(263\) | 26.4309i | 1.62980i | 0.579600 | + | 0.814901i | \(0.303209\pi\) | ||||
−0.579600 | + | 0.814901i | \(0.696791\pi\) | |||||||
\(264\) | 2.04929 | + | 2.60776i | 0.126125 | + | 0.160496i | ||||
\(265\) | 19.7811i | 1.21514i | ||||||||
\(266\) | −8.40087 | − | 10.1616i | −0.515091 | − | 0.623050i | ||||
\(267\) | 3.01665 | − | 9.28429i | 0.184616 | − | 0.568189i | ||||
\(268\) | 0.255032 | + | 0.784909i | 0.0155786 | + | 0.0479459i | ||||
\(269\) | −0.737911 | − | 1.01565i | −0.0449913 | − | 0.0619251i | 0.785929 | − | 0.618317i | \(-0.212185\pi\) |
−0.830920 | + | 0.556392i | \(0.812185\pi\) | |||||||
\(270\) | 1.08816 | + | 1.49773i | 0.0662235 | + | 0.0911488i | ||||
\(271\) | 2.32063 | + | 7.14215i | 0.140968 | + | 0.433855i | 0.996470 | − | 0.0839438i | \(-0.0267516\pi\) |
−0.855502 | + | 0.517799i | \(0.826752\pi\) | |||||||
\(272\) | 1.75616 | − | 5.40491i | 0.106483 | − | 0.327721i | ||||
\(273\) | −8.11690 | − | 9.81813i | −0.491257 | − | 0.594221i | ||||
\(274\) | 0.714453i | 0.0431617i | ||||||||
\(275\) | 2.90458 | − | 4.33257i | 0.175153 | − | 0.261264i | ||||
\(276\) | − | 4.28567i | − | 0.257967i | ||||||
\(277\) | 3.01043 | − | 4.14350i | 0.180879 | − | 0.248959i | −0.708944 | − | 0.705265i | \(-0.750828\pi\) |
0.889823 | + | 0.456306i | \(0.150828\pi\) | |||||||
\(278\) | 5.72799 | + | 1.86114i | 0.343542 | + | 0.111624i | ||||
\(279\) | 8.86513 | − | 2.88046i | 0.530742 | − | 0.172448i | ||||
\(280\) | −1.80162 | − | 4.55469i | −0.107667 | − | 0.272195i | ||||
\(281\) | −5.38217 | − | 7.40792i | −0.321073 | − | 0.441919i | 0.617721 | − | 0.786397i | \(-0.288056\pi\) |
−0.938794 | + | 0.344478i | \(0.888056\pi\) | |||||||
\(282\) | −1.28314 | + | 0.416917i | −0.0764098 | + | 0.0248270i | ||||
\(283\) | 5.57773 | − | 17.1665i | 0.331562 | − | 1.02044i | −0.636829 | − | 0.771005i | \(-0.719754\pi\) |
0.968391 | − | 0.249437i | \(-0.0802457\pi\) | |||||||
\(284\) | 4.25924 | + | 3.09452i | 0.252739 | + | 0.183626i | ||||
\(285\) | −9.22556 | −0.546475 | ||||||||
\(286\) | −15.9577 | + | 0.602390i | −0.943599 | + | 0.0356201i | ||||
\(287\) | −1.64316 | + | 6.39106i | −0.0969925 | + | 0.377252i | ||||
\(288\) | −0.587785 | + | 0.809017i | −0.0346356 | + | 0.0476718i | ||||
\(289\) | 4.72707 | − | 14.5484i | 0.278063 | − | 0.855789i | ||||
\(290\) | 13.0923 | − | 4.25395i | 0.768807 | − | 0.249801i | ||||
\(291\) | −13.8883 | + | 10.0905i | −0.814148 | + | 0.591513i | ||||
\(292\) | −5.17211 | + | 3.75776i | −0.302675 | + | 0.219906i | ||||
\(293\) | −9.65178 | − | 29.7051i | −0.563863 | − | 1.73539i | −0.671306 | − | 0.741180i | \(-0.734266\pi\) |
0.107443 | − | 0.994211i | \(-0.465734\pi\) | |||||||
\(294\) | −5.10589 | + | 4.78851i | −0.297782 | + | 0.279272i | ||||
\(295\) | −9.71008 | − | 7.05479i | −0.565343 | − | 0.410746i | ||||
\(296\) | − | 3.71245i | − | 0.215782i | ||||||
\(297\) | −1.14315 | − | 3.11339i | −0.0663324 | − | 0.180657i | ||||
\(298\) | −11.9557 | −0.692574 | ||||||||
\(299\) | 16.6940 | + | 12.1289i | 0.965438 | + | 0.701432i | ||||
\(300\) | 1.49574 | + | 0.485995i | 0.0863566 | + | 0.0280590i | ||||
\(301\) | 1.92978 | + | 30.8328i | 0.111231 | + | 1.77717i | ||||
\(302\) | −18.3005 | + | 13.2961i | −1.05308 | + | 0.765106i | ||||
\(303\) | 0.377915 | + | 0.520155i | 0.0217106 | + | 0.0298821i | ||||
\(304\) | −1.53993 | − | 4.73941i | −0.0883208 | − | 0.271824i | ||||
\(305\) | 19.6171 | + | 6.37399i | 1.12327 | + | 0.364974i | ||||
\(306\) | −3.34042 | + | 4.59769i | −0.190959 | + | 0.262832i | ||||
\(307\) | −13.8073 | −0.788023 | −0.394011 | − | 0.919106i | \(-0.628913\pi\) | ||||
−0.394011 | + | 0.919106i | \(0.628913\pi\) | |||||||
\(308\) | 0.878115 | + | 8.73092i | 0.0500352 | + | 0.497490i | ||||
\(309\) | 8.49340 | 0.483173 | ||||||||
\(310\) | −10.1431 | + | 13.9608i | −0.576092 | + | 0.792923i | ||||
\(311\) | −0.776007 | − | 0.252140i | −0.0440033 | − | 0.0142976i | 0.286933 | − | 0.957951i | \(-0.407364\pi\) |
−0.330936 | + | 0.943653i | \(0.607364\pi\) | |||||||
\(312\) | −1.48787 | − | 4.57920i | −0.0842342 | − | 0.259246i | ||||
\(313\) | −0.464157 | − | 0.638857i | −0.0262357 | − | 0.0361104i | 0.795698 | − | 0.605694i | \(-0.207104\pi\) |
−0.821933 | + | 0.569584i | \(0.807104\pi\) | |||||||
\(314\) | −3.78813 | + | 2.75224i | −0.213777 | + | 0.155318i | ||||
\(315\) | 0.305964 | + | 4.88850i | 0.0172391 | + | 0.275436i | ||||
\(316\) | −12.6595 | − | 4.11333i | −0.712154 | − | 0.231393i | ||||
\(317\) | 12.7666 | + | 9.27546i | 0.717042 | + | 0.520962i | 0.885438 | − | 0.464758i | \(-0.153859\pi\) |
−0.168396 | + | 0.985720i | \(0.553859\pi\) | |||||||
\(318\) | 10.6850 | 0.599186 | ||||||||
\(319\) | −24.6446 | + | 0.930314i | −1.37983 | + | 0.0520876i | ||||
\(320\) | − | 1.85129i | − | 0.103490i | ||||||
\(321\) | 5.32607 | + | 3.86962i | 0.297272 | + | 0.215981i | ||||
\(322\) | 6.07876 | − | 9.57171i | 0.338756 | − | 0.533411i | ||||
\(323\) | −8.75149 | − | 26.9343i | −0.486946 | − | 1.49866i | ||||
\(324\) | 0.809017 | − | 0.587785i | 0.0449454 | − | 0.0326547i | ||||
\(325\) | −6.12619 | + | 4.45094i | −0.339820 | + | 0.246894i | ||||
\(326\) | 6.16396 | − | 2.00279i | 0.341390 | − | 0.110924i | ||||
\(327\) | −3.90007 | + | 12.0032i | −0.215674 | + | 0.663777i | ||||
\(328\) | −1.46603 | + | 2.01781i | −0.0809477 | + | 0.111415i | ||||
\(329\) | −3.45714 | − | 0.888840i | −0.190598 | − | 0.0490033i | ||||
\(330\) | 5.10001 | + | 3.41908i | 0.280746 | + | 0.188214i | ||||
\(331\) | −18.2041 | −1.00059 | −0.500294 | − | 0.865856i | \(-0.666775\pi\) | ||||
−0.500294 | + | 0.865856i | \(0.666775\pi\) | |||||||
\(332\) | −8.22320 | − | 5.97450i | −0.451307 | − | 0.327893i | ||||
\(333\) | −1.14721 | + | 3.53075i | −0.0628667 | + | 0.193484i | ||||
\(334\) | 22.7400 | − | 7.38866i | 1.24428 | − | 0.404289i | ||||
\(335\) | 0.898063 | + | 1.23608i | 0.0490664 | + | 0.0675341i | ||||
\(336\) | −2.46027 | + | 0.973167i | −0.134219 | + | 0.0530906i | ||||
\(337\) | 9.27664 | − | 3.01416i | 0.505331 | − | 0.164192i | −0.0452470 | − | 0.998976i | \(-0.514407\pi\) |
0.550578 | + | 0.834784i | \(0.314407\pi\) | |||||||
\(338\) | 9.68444 | + | 3.14666i | 0.526764 | + | 0.171156i | ||||
\(339\) | 3.88362 | − | 5.34535i | 0.210929 | − | 0.290320i | ||||
\(340\) | − | 10.5210i | − | 0.570581i | ||||||
\(341\) | 24.3078 | − | 19.1022i | 1.31634 | − | 1.03444i | ||||
\(342\) | 4.98331i | 0.269466i | ||||||||
\(343\) | −18.1956 | + | 3.45262i | −0.982469 | + | 0.186424i | ||||
\(344\) | −3.60824 | + | 11.1050i | −0.194543 | + | 0.598743i | ||||
\(345\) | −2.45175 | − | 7.54572i | −0.131998 | − | 0.406248i | ||||
\(346\) | 7.85839 | + | 10.8161i | 0.422470 | + | 0.581479i | ||||
\(347\) | 7.14716 | + | 9.83723i | 0.383680 | + | 0.528090i | 0.956555 | − | 0.291553i | \(-0.0941719\pi\) |
−0.572875 | + | 0.819643i | \(0.694172\pi\) | |||||||
\(348\) | −2.29783 | − | 7.07198i | −0.123176 | − | 0.379098i | ||||
\(349\) | 2.32262 | − | 7.14829i | 0.124327 | − | 0.382639i | −0.869451 | − | 0.494019i | \(-0.835527\pi\) |
0.993778 | + | 0.111380i | \(0.0355272\pi\) | |||||||
\(350\) | 2.65129 | + | 3.20698i | 0.141717 | + | 0.171420i | ||||
\(351\) | 4.81485i | 0.256998i | ||||||||
\(352\) | −0.905177 | + | 3.19071i | −0.0482461 | + | 0.170066i | ||||
\(353\) | − | 27.2930i | − | 1.45266i | −0.687347 | − | 0.726329i | \(-0.741225\pi\) | ||
0.687347 | − | 0.726329i | \(-0.258775\pi\) | |||||||
\(354\) | −3.81073 | + | 5.24503i | −0.202538 | + | 0.278770i | ||||
\(355\) | 9.26949 | + | 3.01184i | 0.491974 | + | 0.159852i | ||||
\(356\) | 9.28429 | − | 3.01665i | 0.492066 | − | 0.159882i | ||||
\(357\) | −13.9819 | + | 5.53056i | −0.739999 | + | 0.292708i | ||||
\(358\) | −2.34143 | − | 3.22270i | −0.123748 | − | 0.170325i | ||||
\(359\) | −4.46025 | + | 1.44922i | −0.235403 | + | 0.0764871i | −0.424343 | − | 0.905502i | \(-0.639495\pi\) |
0.188940 | + | 0.981989i | \(0.439495\pi\) | |||||||
\(360\) | −0.572081 | + | 1.76068i | −0.0301513 | + | 0.0927962i | ||||
\(361\) | −4.71928 | − | 3.42875i | −0.248383 | − | 0.180461i | ||||
\(362\) | −12.1413 | −0.638132 | ||||||||
\(363\) | −7.11815 | − | 8.38641i | −0.373606 | − | 0.440172i | ||||
\(364\) | 3.17205 | − | 12.3377i | 0.166260 | − | 0.646669i | ||||
\(365\) | −6.95671 | + | 9.57509i | −0.364131 | + | 0.501183i | ||||
\(366\) | 3.44299 | − | 10.5964i | 0.179968 | − | 0.553885i | ||||
\(367\) | −1.64422 | + | 0.534240i | −0.0858277 | + | 0.0278871i | −0.351616 | − | 0.936144i | \(-0.614368\pi\) |
0.265788 | + | 0.964031i | \(0.414368\pi\) | |||||||
\(368\) | 3.46718 | − | 2.51906i | 0.180739 | − | 0.131315i | ||||
\(369\) | 2.01781 | − | 1.46603i | 0.105043 | − | 0.0763182i | ||||
\(370\) | −2.12382 | − | 6.53645i | −0.110412 | − | 0.339814i | ||||
\(371\) | 23.8641 | + | 15.1555i | 1.23896 | + | 0.786836i | ||||
\(372\) | 7.54113 | + | 5.47895i | 0.390990 | + | 0.284071i | ||||
\(373\) | − | 28.4790i | − | 1.47459i | −0.675573 | − | 0.737293i | \(-0.736104\pi\) | ||
0.675573 | − | 0.737293i | \(-0.263896\pi\) | |||||||
\(374\) | −5.14417 | + | 18.1330i | −0.265999 | + | 0.937635i | ||||
\(375\) | 12.1680 | 0.628354 | ||||||||
\(376\) | −1.09150 | − | 0.793023i | −0.0562900 | − | 0.0408971i | ||||
\(377\) | 34.0506 | + | 11.0637i | 1.75369 | + | 0.569809i | ||||
\(378\) | 2.64058 | − | 0.165270i | 0.135817 | − | 0.00850058i | ||||
\(379\) | −7.44071 | + | 5.40599i | −0.382203 | + | 0.277687i | −0.762253 | − | 0.647279i | \(-0.775907\pi\) |
0.380050 | + | 0.924966i | \(0.375907\pi\) | |||||||
\(380\) | −5.42265 | − | 7.46364i | −0.278176 | − | 0.382876i | ||||
\(381\) | −2.34379 | − | 7.21346i | −0.120076 | − | 0.369557i | ||||
\(382\) | −1.40893 | − | 0.457789i | −0.0720872 | − | 0.0234225i | ||||
\(383\) | 0.615474 | − | 0.847128i | 0.0314493 | − | 0.0432862i | −0.793003 | − | 0.609218i | \(-0.791483\pi\) |
0.824452 | + | 0.565932i | \(0.191483\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 6.54087 | + | 14.8700i | 0.333354 | + | 0.757847i | ||||
\(386\) | 12.9845 | 0.660892 | ||||||||
\(387\) | 6.86328 | − | 9.44649i | 0.348880 | − | 0.480192i | ||||
\(388\) | −16.3267 | − | 5.30487i | −0.828863 | − | 0.269314i | ||||
\(389\) | 0.137465 | + | 0.423073i | 0.00696973 | + | 0.0214506i | 0.954481 | − | 0.298272i | \(-0.0964103\pi\) |
−0.947511 | + | 0.319723i | \(0.896410\pi\) | |||||||
\(390\) | −5.23935 | − | 7.21134i | −0.265305 | − | 0.365160i | ||||
\(391\) | 19.7042 | − | 14.3159i | 0.996483 | − | 0.723988i | ||||
\(392\) | −6.87516 | − | 1.31614i | −0.347248 | − | 0.0664750i | ||||
\(393\) | 7.98289 | + | 2.59380i | 0.402684 | + | 0.130840i | ||||
\(394\) | 9.96822 | + | 7.24233i | 0.502192 | + | 0.364864i | ||||
\(395\) | −24.6426 | −1.23990 | ||||||||
\(396\) | 1.84686 | − | 2.75483i | 0.0928082 | − | 0.138436i | ||||
\(397\) | − | 22.4125i | − | 1.12485i | −0.826849 | − | 0.562425i | \(-0.809869\pi\) | ||
0.826849 | − | 0.562425i | \(-0.190131\pi\) | |||||||
\(398\) | 4.34662 | + | 3.15801i | 0.217876 | + | 0.158296i | ||||
\(399\) | −7.06827 | + | 11.1298i | −0.353856 | + | 0.557188i | ||||
\(400\) | 0.485995 | + | 1.49574i | 0.0242998 | + | 0.0747870i | ||||
\(401\) | 7.54111 | − | 5.47894i | 0.376585 | − | 0.273605i | −0.383351 | − | 0.923603i | \(-0.625230\pi\) |
0.759936 | + | 0.649997i | \(0.225230\pi\) | |||||||
\(402\) | 0.667683 | − | 0.485100i | 0.0333010 | − | 0.0241946i | ||||
\(403\) | −42.6843 | + | 13.8690i | −2.12626 | + | 0.690863i | ||||
\(404\) | −0.198682 | + | 0.611479i | −0.00988478 | + | 0.0304222i | ||||
\(405\) | 1.08816 | − | 1.49773i | 0.0540712 | − | 0.0744227i | ||||
\(406\) | 4.89882 | − | 19.0539i | 0.243124 | − | 0.945631i | ||||
\(407\) | 0.464467 | + | 12.3040i | 0.0230228 | + | 0.609889i | ||||
\(408\) | −5.68305 | −0.281353 | ||||||||
\(409\) | 7.08842 | + | 5.15004i | 0.350500 | + | 0.254653i | 0.749079 | − | 0.662481i | \(-0.230496\pi\) |
−0.398579 | + | 0.917134i | \(0.630496\pi\) | |||||||
\(410\) | −1.42686 | + | 4.39141i | −0.0704674 | + | 0.216876i | ||||
\(411\) | 0.679486 | − | 0.220778i | 0.0335165 | − | 0.0108902i | ||||
\(412\) | 4.99229 | + | 6.87130i | 0.245953 | + | 0.338525i | ||||
\(413\) | −15.9505 | + | 6.30924i | −0.784871 | + | 0.310458i | ||||
\(414\) | −4.07592 | + | 1.32435i | −0.200320 | + | 0.0650880i | ||||
\(415\) | −17.8964 | − | 5.81488i | −0.878498 | − | 0.285441i | ||||
\(416\) | 2.83010 | − | 3.89530i | 0.138757 | − | 0.190983i | ||||
\(417\) | − | 6.02276i | − | 0.294936i | ||||||
\(418\) | 5.69667 | + | 15.5150i | 0.278633 | + | 0.758863i | ||||
\(419\) | − | 1.41646i | − | 0.0691987i | −0.999401 | − | 0.0345994i | \(-0.988984\pi\) | ||
0.999401 | − | 0.0345994i | \(-0.0110155\pi\) | |||||||
\(420\) | −3.77504 | + | 3.12092i | −0.184203 | + | 0.152285i | ||||
\(421\) | 3.74312 | − | 11.5202i | 0.182429 | − | 0.561458i | −0.817466 | − | 0.575977i | \(-0.804622\pi\) |
0.999895 | + | 0.0145191i | \(0.00462175\pi\) | |||||||
\(422\) | 0.542115 | + | 1.66846i | 0.0263898 | + | 0.0812193i | ||||
\(423\) | 0.793023 | + | 1.09150i | 0.0385581 | + | 0.0530707i | ||||
\(424\) | 6.28050 | + | 8.64436i | 0.305008 | + | 0.419807i | ||||
\(425\) | 2.76194 | + | 8.50037i | 0.133974 | + | 0.412329i | ||||
\(426\) | 1.62688 | − | 5.00704i | 0.0788228 | − | 0.242592i | ||||
\(427\) | 22.7196 | − | 18.7828i | 1.09948 | − | 0.908964i | ||||
\(428\) | 6.58339i | 0.318220i | ||||||||
\(429\) | 5.50411 | + | 14.9905i | 0.265741 | + | 0.723749i | ||||
\(430\) | 21.6166i | 1.04245i | ||||||||
\(431\) | 10.4711 | − | 14.4122i | 0.504375 | − | 0.694212i | −0.478583 | − | 0.878042i | \(-0.658850\pi\) |
0.982958 | + | 0.183830i | \(0.0588495\pi\) | |||||||
\(432\) | 0.951057 | + | 0.309017i | 0.0457577 | + | 0.0148676i | ||||
\(433\) | −2.32424 | + | 0.755191i | −0.111696 | + | 0.0362922i | −0.364332 | − | 0.931269i | \(-0.618703\pi\) |
0.252636 | + | 0.967561i | \(0.418703\pi\) | |||||||
\(434\) | 9.07123 | + | 22.9331i | 0.435433 | + | 1.10082i | ||||
\(435\) | −8.09149 | − | 11.1370i | −0.387957 | − | 0.533978i | ||||
\(436\) | −12.0032 | + | 3.90007i | −0.574848 | + | 0.186779i | ||||
\(437\) | 6.59962 | − | 20.3115i | 0.315703 | − | 0.971633i | ||||
\(438\) | 5.17211 | + | 3.75776i | 0.247133 | + | 0.179553i | ||||
\(439\) | 7.42959 | 0.354595 | 0.177297 | − | 0.984157i | \(-0.443265\pi\) | ||||
0.177297 | + | 0.984157i | \(0.443265\pi\) | |||||||
\(440\) | 0.231617 | + | 6.13567i | 0.0110419 | + | 0.292507i | ||||
\(441\) | 6.13195 | + | 3.37626i | 0.291998 | + | 0.160774i | ||||
\(442\) | 16.0836 | − | 22.1372i | 0.765019 | − | 1.05296i | ||||
\(443\) | 0.0799729 | − | 0.246131i | 0.00379963 | − | 0.0116941i | −0.949139 | − | 0.314858i | \(-0.898043\pi\) |
0.952938 | + | 0.303164i | \(0.0980430\pi\) | |||||||
\(444\) | −3.53075 | + | 1.14721i | −0.167562 | + | 0.0544442i | ||||
\(445\) | 14.6209 | − | 10.6227i | 0.693099 | − | 0.503566i | ||||
\(446\) | 14.2446 | − | 10.3493i | 0.674499 | − | 0.490052i | ||||
\(447\) | 3.69451 | + | 11.3705i | 0.174744 | + | 0.537808i | ||||
\(448\) | −2.23342 | − | 1.41839i | −0.105519 | − | 0.0670126i | ||||
\(449\) | −22.9080 | − | 16.6436i | −1.08110 | − | 0.785462i | −0.103222 | − | 0.994658i | \(-0.532915\pi\) |
−0.977874 | + | 0.209197i | \(0.932915\pi\) | |||||||
\(450\) | − | 1.57271i | − | 0.0741385i | ||||||
\(451\) | 4.60635 | − | 6.87098i | 0.216904 | − | 0.323542i | ||||
\(452\) | 6.60722 | 0.310777 | ||||||||
\(453\) | 18.3005 | + | 13.2961i | 0.859834 | + | 0.624706i | ||||
\(454\) | 8.91948 | + | 2.89812i | 0.418612 | + | 0.136015i | ||||
\(455\) | −1.47317 | − | 23.5374i | −0.0690633 | − | 1.10345i | ||||
\(456\) | −4.03158 | + | 2.92911i | −0.188796 | + | 0.137168i | ||||
\(457\) | 8.28436 | + | 11.4024i | 0.387526 | + | 0.533384i | 0.957559 | − | 0.288238i | \(-0.0930694\pi\) |
−0.570033 | + | 0.821622i | \(0.693069\pi\) | |||||||
\(458\) | −0.733520 | − | 2.25754i | −0.0342751 | − | 0.105488i | ||||
\(459\) | 5.40491 | + | 1.75616i | 0.252279 | + | 0.0819705i | ||||
\(460\) | 4.66351 | − | 6.41877i | 0.217437 | − | 0.299277i | ||||
\(461\) | 4.14157 | 0.192892 | 0.0964461 | − | 0.995338i | \(-0.469252\pi\) | ||||
0.0964461 | + | 0.995338i | \(0.469252\pi\) | |||||||
\(462\) | 8.03224 | − | 3.53314i | 0.373694 | − | 0.164376i | ||||
\(463\) | 31.6743 | 1.47203 | 0.736014 | − | 0.676966i | \(-0.236706\pi\) | ||||
0.736014 | + | 0.676966i | \(0.236706\pi\) | |||||||
\(464\) | 4.37073 | − | 6.01579i | 0.202906 | − | 0.279276i | ||||
\(465\) | 16.4120 | + | 5.33257i | 0.761086 | + | 0.247292i | ||||
\(466\) | 1.99718 | + | 6.14668i | 0.0925175 | + | 0.284739i | ||||
\(467\) | −4.34131 | − | 5.97530i | −0.200892 | − | 0.276504i | 0.696671 | − | 0.717391i | \(-0.254664\pi\) |
−0.897562 | + | 0.440887i | \(0.854664\pi\) | |||||||
\(468\) | −3.89530 | + | 2.83010i | −0.180060 | + | 0.130821i | ||||
\(469\) | 2.17928 | − | 0.136398i | 0.100630 | − | 0.00629827i | ||||
\(470\) | −2.37547 | − | 0.771836i | −0.109572 | − | 0.0356021i | ||||
\(471\) | 3.78813 | + | 2.75224i | 0.174548 | + | 0.126816i | ||||
\(472\) | −6.48321 | −0.298414 | ||||||||
\(473\) | 10.5693 | − | 37.2564i | 0.485977 | − | 1.71305i | ||||
\(474\) | 13.3110i | 0.611395i | ||||||||
\(475\) | 6.34052 | + | 4.60666i | 0.290923 | + | 0.211368i | ||||
\(476\) | −12.6927 | − | 8.06079i | −0.581767 | − | 0.369466i | ||||
\(477\) | −3.30185 | − | 10.1621i | −0.151181 | − | 0.465289i | ||||
\(478\) | 17.9921 | − | 13.0720i | 0.822941 | − | 0.597902i | ||||
\(479\) | −4.94813 | + | 3.59503i | −0.226086 | + | 0.164261i | −0.695062 | − | 0.718950i | \(-0.744623\pi\) |
0.468976 | + | 0.883211i | \(0.344623\pi\) | |||||||
\(480\) | −1.76068 | + | 0.572081i | −0.0803639 | + | 0.0261118i | ||||
\(481\) | 5.52365 | − | 17.0000i | 0.251857 | − | 0.775135i | ||||
\(482\) | −15.5226 | + | 21.3651i | −0.707036 | + | 0.973152i | ||||
\(483\) | −10.9817 | − | 2.82342i | −0.499684 | − | 0.128470i | ||||
\(484\) | 2.60080 | − | 10.6881i | 0.118218 | − | 0.485823i | ||||
\(485\) | −31.7810 | −1.44310 | ||||||||
\(486\) | −0.809017 | − | 0.587785i | −0.0366978 | − | 0.0266625i | ||||
\(487\) | 5.71883 | − | 17.6007i | 0.259145 | − | 0.797565i | −0.733840 | − | 0.679322i | \(-0.762274\pi\) |
0.992985 | − | 0.118243i | \(-0.0377262\pi\) | |||||||
\(488\) | 10.5964 | − | 3.44299i | 0.479679 | − | 0.155857i | ||||
\(489\) | −3.80954 | − | 5.24338i | −0.172273 | − | 0.237114i | ||||
\(490\) | −12.8579 | + | 1.61584i | −0.580862 | + | 0.0729964i | ||||
\(491\) | −7.94795 | + | 2.58245i | −0.358686 | + | 0.116544i | −0.482816 | − | 0.875722i | \(-0.660386\pi\) |
0.124130 | + | 0.992266i | \(0.460386\pi\) | |||||||
\(492\) | 2.37208 | + | 0.770735i | 0.106942 | + | 0.0347474i | ||||
\(493\) | 24.8391 | − | 34.1880i | 1.11870 | − | 1.53975i | ||||
\(494\) | − | 23.9939i | − | 1.07954i | ||||||
\(495\) | 1.67575 | − | 5.90695i | 0.0753192 | − | 0.265497i | ||||
\(496\) | 9.32135i | 0.418541i | ||||||||
\(497\) | 10.7354 | − | 8.87526i | 0.481551 | − | 0.398110i | ||||
\(498\) | −3.14098 | + | 9.66695i | −0.140751 | + | 0.433186i | ||||
\(499\) | 9.17079 | + | 28.2248i | 0.410541 | + | 1.26352i | 0.916179 | + | 0.400769i | \(0.131257\pi\) |
−0.505638 | + | 0.862746i | \(0.668743\pi\) | |||||||
\(500\) | 7.15218 | + | 9.84413i | 0.319855 | + | 0.440243i | ||||
\(501\) | −14.0541 | − | 19.3438i | −0.627889 | − | 0.864216i | ||||
\(502\) | −7.35226 | − | 22.6279i | −0.328148 | − | 1.00993i | ||||
\(503\) | 7.41827 | − | 22.8311i | 0.330764 | − | 1.01799i | −0.638007 | − | 0.770031i | \(-0.720241\pi\) |
0.968771 | − | 0.247957i | \(-0.0797592\pi\) | |||||||
\(504\) | 1.68580 | + | 2.03913i | 0.0750916 | + | 0.0908303i | ||||
\(505\) | 1.19028i | 0.0529669i | ||||||||
\(506\) | −11.1760 | + | 8.78260i | −0.496834 | + | 0.390434i | ||||
\(507\) | − | 10.1828i | − | 0.452235i | ||||||
\(508\) | 4.45816 | − | 6.13613i | 0.197799 | − | 0.272247i | ||||
\(509\) | 37.1477 | + | 12.0700i | 1.64654 | + | 0.534994i | 0.977987 | − | 0.208667i | \(-0.0669124\pi\) |
0.668557 | + | 0.743661i | \(0.266912\pi\) | |||||||
\(510\) | −10.0061 | + | 3.25117i | −0.443076 | + | 0.143964i | ||||
\(511\) | 6.22153 | + | 15.7287i | 0.275224 | + | 0.695798i | ||||
\(512\) | −0.587785 | − | 0.809017i | −0.0259767 | − | 0.0357538i | ||||
\(513\) | 4.73941 | − | 1.53993i | 0.209250 | − | 0.0679894i | ||||
\(514\) | −6.93269 | + | 21.3366i | −0.305788 | + | 0.941119i | ||||
\(515\) | 12.7208 | + | 9.24220i | 0.560545 | + | 0.407260i | ||||
\(516\) | 11.6765 | 0.514030 | ||||||||
\(517\) | 3.71674 | + | 2.49173i | 0.163462 | + | 0.109586i | ||||
\(518\) | −9.51284 | − | 2.44578i | −0.417970 | − | 0.107461i | ||||
\(519\) | 7.85839 | − | 10.8161i | 0.344945 | − | 0.474776i | ||||
\(520\) | 2.75449 | − | 8.47744i | 0.120792 | − | 0.371760i | ||||
\(521\) | 33.2900 | − | 10.8166i | 1.45846 | − | 0.473883i | 0.530863 | − | 0.847458i | \(-0.321868\pi\) |
0.927600 | + | 0.373574i | \(0.121868\pi\) | |||||||
\(522\) | −6.01579 | + | 4.37073i | −0.263304 | + | 0.191301i | ||||
\(523\) | 2.83146 | − | 2.05718i | 0.123811 | − | 0.0899541i | −0.524156 | − | 0.851622i | \(-0.675619\pi\) |
0.647968 | + | 0.761668i | \(0.275619\pi\) | |||||||
\(524\) | 2.59380 | + | 7.98289i | 0.113311 | + | 0.348734i | ||||
\(525\) | 2.23072 | − | 3.51253i | 0.0973567 | − | 0.153299i | ||||
\(526\) | 21.3831 | + | 15.5357i | 0.932347 | + | 0.677390i | ||||
\(527\) | 52.9738i | 2.30757i | ||||||||
\(528\) | 3.31426 | − | 0.125111i | 0.144235 | − | 0.00544475i | ||||
\(529\) | −4.63301 | −0.201435 | ||||||||
\(530\) | 16.0032 | + | 11.6270i | 0.695137 | + | 0.505046i | ||||
\(531\) | 6.16590 | + | 2.00342i | 0.267577 | + | 0.0869411i | ||||
\(532\) | −13.1588 | + | 0.823592i | −0.570508 | + | 0.0357072i | ||||
\(533\) | −9.71547 | + | 7.05870i | −0.420824 | + | 0.305746i | ||||
\(534\) | −5.73801 | − | 7.89769i | −0.248308 | − | 0.341766i | ||||
\(535\) | 3.76623 | + | 11.5913i | 0.162828 | + | 0.501134i | ||||
\(536\) | 0.784909 | + | 0.255032i | 0.0339029 | + | 0.0110157i | ||||
\(537\) | −2.34143 | + | 3.22270i | −0.101040 | + | 0.139070i | ||||
\(538\) | −1.25541 | −0.0541246 | ||||||||
\(539\) | 22.9507 | + | 3.50187i | 0.988559 | + | 0.150836i | ||||
\(540\) | 1.85129 | 0.0796670 | ||||||||
\(541\) | −18.1934 | + | 25.0411i | −0.782196 | + | 1.07660i | 0.212840 | + | 0.977087i | \(0.431729\pi\) |
−0.995036 | + | 0.0995137i | \(0.968271\pi\) | |||||||
\(542\) | 7.14215 | + | 2.32063i | 0.306782 | + | 0.0996794i | ||||
\(543\) | 3.75187 | + | 11.5471i | 0.161008 | + | 0.495532i | ||||
\(544\) | −3.34042 | − | 4.59769i | −0.143219 | − | 0.197124i | ||||
\(545\) | −18.9027 | + | 13.7336i | −0.809701 | + | 0.588282i | ||||
\(546\) | −12.7140 | + | 0.795752i | −0.544110 | + | 0.0340550i | ||||
\(547\) | −5.28096 | − | 1.71589i | −0.225797 | − | 0.0733660i | 0.193933 | − | 0.981015i | \(-0.437875\pi\) |
−0.419731 | + | 0.907649i | \(0.637875\pi\) | |||||||
\(548\) | 0.578005 | + | 0.419945i | 0.0246911 | + | 0.0179392i | ||||
\(549\) | −11.1418 | −0.475519 | ||||||||
\(550\) | −1.79785 | − | 4.89647i | −0.0766606 | − | 0.208786i | ||||
\(551\) | − | 37.0555i | − | 1.57862i | ||||||
\(552\) | −3.46718 | − | 2.51906i | −0.147573 | − | 0.107218i | ||||
\(553\) | −18.8802 | + | 29.7291i | −0.802868 | + | 1.26421i | ||||
\(554\) | −1.58268 | − | 4.87098i | −0.0672415 | − | 0.206948i | ||||
\(555\) | −5.56024 | + | 4.03975i | −0.236019 | + | 0.171478i | ||||
\(556\) | 4.87252 | − | 3.54009i | 0.206641 | − | 0.150133i | ||||
\(557\) | −17.4159 | + | 5.65878i | −0.737937 | + | 0.239770i | −0.653782 | − | 0.756683i | \(-0.726819\pi\) |
−0.0841543 | + | 0.996453i | \(0.526819\pi\) | |||||||
\(558\) | 2.88046 | − | 8.86513i | 0.121939 | − | 0.375291i | ||||
\(559\) | −33.0457 | + | 45.4835i | −1.39768 | + | 1.92375i | ||||
\(560\) | −4.74378 | − | 1.21964i | −0.200461 | − | 0.0515392i | ||||
\(561\) | 18.8351 | − | 0.711011i | 0.795220 | − | 0.0300189i | ||||
\(562\) | −9.15669 | −0.386252 | ||||||||
\(563\) | −28.0132 | − | 20.3528i | −1.18062 | − | 0.857769i | −0.188376 | − | 0.982097i | \(-0.560322\pi\) |
−0.992241 | + | 0.124328i | \(0.960322\pi\) | |||||||
\(564\) | −0.416917 | + | 1.28314i | −0.0175554 | + | 0.0540299i | ||||
\(565\) | 11.6332 | − | 3.77986i | 0.489413 | − | 0.159020i | ||||
\(566\) | −10.6095 | − | 14.6027i | −0.445950 | − | 0.613797i | ||||
\(567\) | −0.973167 | − | 2.46027i | −0.0408692 | − | 0.103322i | ||||
\(568\) | 5.00704 | − | 1.62688i | 0.210091 | − | 0.0682626i | ||||
\(569\) | −5.90464 | − | 1.91854i | −0.247536 | − | 0.0804292i | 0.182621 | − | 0.983183i | \(-0.441542\pi\) |
−0.430157 | + | 0.902754i | \(0.641542\pi\) | |||||||
\(570\) | −5.42265 | + | 7.46364i | −0.227130 | + | 0.312617i | ||||
\(571\) | 13.9350i | 0.583164i | 0.956546 | + | 0.291582i | \(0.0941815\pi\) | ||||
−0.956546 | + | 0.291582i | \(0.905818\pi\) | |||||||
\(572\) | −8.89236 | + | 13.2641i | −0.371808 | + | 0.554601i | ||||
\(573\) | 1.48144i | 0.0618879i | ||||||||
\(574\) | 4.20465 | + | 5.08591i | 0.175499 | + | 0.212282i | ||||
\(575\) | −2.08282 | + | 6.41025i | −0.0868595 | + | 0.267326i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | 8.42782 | + | 11.5999i | 0.350855 | + | 0.482910i | 0.947572 | − | 0.319541i | \(-0.103529\pi\) |
−0.596718 | + | 0.802451i | \(0.703529\pi\) | |||||||
\(578\) | −8.99141 | − | 12.3756i | −0.373993 | − | 0.514758i | ||||
\(579\) | −4.01242 | − | 12.3490i | −0.166750 | − | 0.513205i | ||||
\(580\) | 4.25395 | − | 13.0923i | 0.176636 | − | 0.543629i | ||||
\(581\) | −20.7266 | + | 17.1352i | −0.859886 | + | 0.710889i | ||||
\(582\) | 17.1669i | 0.711591i | ||||||||
\(583\) | −21.8967 | − | 27.8639i | −0.906870 | − | 1.15401i | ||||
\(584\) | 6.39308i | 0.264548i | ||||||||
\(585\) | −5.23935 | + | 7.21134i | −0.216620 | + | 0.298152i | ||||
\(586\) | −29.7051 | − | 9.65178i | −1.22711 | − | 0.398711i | ||||
\(587\) | −39.5599 | + | 12.8538i | −1.63281 | + | 0.530532i | −0.974915 | − | 0.222577i | \(-0.928553\pi\) |
−0.657895 | + | 0.753110i | \(0.728553\pi\) | |||||||
\(588\) | 0.872820 | + | 6.94537i | 0.0359945 | + | 0.286422i | ||||
\(589\) | 27.3033 | + | 37.5798i | 1.12501 | + | 1.54845i | ||||
\(590\) | −11.4149 | + | 3.70892i | −0.469943 | + | 0.152694i | ||||
\(591\) | 3.80752 | − | 11.7183i | 0.156620 | − | 0.482028i | ||||
\(592\) | −3.00344 | − | 2.18212i | −0.123440 | − | 0.0896847i | ||||
\(593\) | 30.2528 | 1.24233 | 0.621166 | − | 0.783679i | \(-0.286659\pi\) | ||||
0.621166 | + | 0.783679i | \(0.286659\pi\) | |||||||
\(594\) | −3.19071 | − | 0.905177i | −0.130917 | − | 0.0371398i | ||||
\(595\) | −26.9592 | − | 6.93128i | −1.10522 | − | 0.284155i | ||||
\(596\) | −7.02738 | + | 9.67235i | −0.287853 | + | 0.396195i | ||||
\(597\) | 1.66026 | − | 5.10976i | 0.0679500 | − | 0.209129i | ||||
\(598\) | 19.6249 | − | 6.37653i | 0.802524 | − | 0.260756i | ||||
\(599\) | 22.4145 | − | 16.2851i | 0.915831 | − | 0.665390i | −0.0266519 | − | 0.999645i | \(-0.508485\pi\) |
0.942483 | + | 0.334255i | \(0.108485\pi\) | |||||||
\(600\) | 1.27235 | − | 0.924418i | 0.0519436 | − | 0.0377392i | ||||
\(601\) | 6.89307 | + | 21.2147i | 0.281174 | + | 0.865365i | 0.987519 | + | 0.157498i | \(0.0503427\pi\) |
−0.706345 | + | 0.707868i | \(0.749657\pi\) | |||||||
\(602\) | 26.0786 | + | 16.5618i | 1.06288 | + | 0.675010i | ||||
\(603\) | −0.667683 | − | 0.485100i | −0.0271902 | − | 0.0197548i | ||||
\(604\) | 22.6207i | 0.920424i | ||||||||
\(605\) | −1.53528 | − | 20.3063i | −0.0624179 | − | 0.825567i | ||||
\(606\) | 0.642947 | 0.0261179 | ||||||||
\(607\) | 3.13578 | + | 2.27828i | 0.127277 | + | 0.0924725i | 0.649603 | − | 0.760274i | \(-0.274935\pi\) |
−0.522325 | + | 0.852746i | \(0.674935\pi\) | |||||||
\(608\) | −4.73941 | − | 1.53993i | −0.192208 | − | 0.0624523i | ||||
\(609\) | −19.6352 | + | 1.22894i | −0.795658 | + | 0.0497990i | ||||
\(610\) | 16.6873 | − | 12.1241i | 0.675650 | − | 0.490888i | ||||
\(611\) | −3.81829 | − | 5.25543i | −0.154472 | − | 0.212612i | ||||
\(612\) | 1.75616 | + | 5.40491i | 0.0709886 | + | 0.218480i | ||||
\(613\) | 24.9551 | + | 8.10841i | 1.00793 | + | 0.327496i | 0.766029 | − | 0.642806i | \(-0.222230\pi\) |
0.241899 | + | 0.970301i | \(0.422230\pi\) | |||||||
\(614\) | −8.11571 | + | 11.1703i | −0.327523 | + | 0.450797i | ||||
\(615\) | 4.61741 | 0.186192 | ||||||||
\(616\) | 7.57960 | + | 4.42149i | 0.305391 | + | 0.178147i | ||||
\(617\) | −38.1546 | −1.53605 | −0.768023 | − | 0.640422i | \(-0.778759\pi\) | ||||
−0.768023 | + | 0.640422i | \(0.778759\pi\) | |||||||
\(618\) | 4.99229 | − | 6.87130i | 0.200820 | − | 0.276404i | ||||
\(619\) | −24.7061 | − | 8.02750i | −0.993022 | − | 0.322652i | −0.232948 | − | 0.972489i | \(-0.574837\pi\) |
−0.760074 | + | 0.649837i | \(0.774837\pi\) | |||||||
\(620\) | 5.33257 | + | 16.4120i | 0.214161 | + | 0.659120i | ||||
\(621\) | 2.51906 | + | 3.46718i | 0.101086 | + | 0.139133i | ||||
\(622\) | −0.660111 | + | 0.479599i | −0.0264681 | + | 0.0192302i | ||||
\(623\) | −1.61338 | − | 25.7776i | −0.0646387 | − | 1.03276i | ||||
\(624\) | −4.57920 | − | 1.48787i | −0.183315 | − | 0.0595625i | ||||
\(625\) | 11.8626 | + | 8.61869i | 0.474505 | + | 0.344748i | ||||
\(626\) | −0.789671 | −0.0315616 | ||||||||
\(627\) | 12.9953 | − | 10.2123i | 0.518981 | − | 0.407838i | ||||
\(628\) | 4.68239i | 0.186848i | ||||||||
\(629\) | −17.0687 | − | 12.4011i | −0.680573 | − | 0.494465i | ||||
\(630\) | 4.13472 | + | 2.62586i | 0.164731 | + | 0.104617i | ||||
\(631\) | −1.83177 | − | 5.63761i | −0.0729216 | − | 0.224430i | 0.907952 | − | 0.419073i | \(-0.137645\pi\) |
−0.980874 | + | 0.194644i | \(0.937645\pi\) | |||||||
\(632\) | −10.7688 | + | 7.82401i | −0.428361 | + | 0.311223i | ||||
\(633\) | 1.41928 | − | 1.03116i | 0.0564112 | − | 0.0409851i | ||||
\(634\) | 15.0080 | − | 4.87640i | 0.596044 | − | 0.193667i | ||||
\(635\) | 4.33905 | − | 13.3542i | 0.172190 | − | 0.529946i | ||||
\(636\) | 6.28050 | − | 8.64436i | 0.249038 | − | 0.342771i | ||||
\(637\) | −29.5245 | − | 16.2562i | −1.16980 | − | 0.644094i | ||||
\(638\) | −13.7331 | + | 20.4847i | −0.543699 | + | 0.810998i | ||||
\(639\) | −5.26471 | −0.208269 | ||||||||
\(640\) | −1.49773 | − | 1.08816i | −0.0592029 | − | 0.0430134i | ||||
\(641\) | 2.17477 | − | 6.69325i | 0.0858982 | − | 0.264367i | −0.898877 | − | 0.438202i | \(-0.855616\pi\) |
0.984775 | + | 0.173834i | \(0.0556156\pi\) | |||||||
\(642\) | 6.26117 | − | 2.03438i | 0.247109 | − | 0.0802905i | ||||
\(643\) | −13.3815 | − | 18.4181i | −0.527715 | − | 0.726338i | 0.459065 | − | 0.888403i | \(-0.348185\pi\) |
−0.986780 | + | 0.162065i | \(0.948185\pi\) | |||||||
\(644\) | −4.17067 | − | 10.5439i | −0.164348 | − | 0.415489i | ||||
\(645\) | 20.5586 | − | 6.67991i | 0.809496 | − | 0.263021i | ||||
\(646\) | −26.9343 | − | 8.75149i | −1.05972 | − | 0.344323i | ||||
\(647\) | −4.28361 | + | 5.89589i | −0.168406 | + | 0.231791i | −0.884876 | − | 0.465827i | \(-0.845757\pi\) |
0.716470 | + | 0.697618i | \(0.245757\pi\) | |||||||
\(648\) | − | 1.00000i | − | 0.0392837i | ||||||
\(649\) | 21.4871 | − | 0.811119i | 0.843441 | − | 0.0318392i | ||||
\(650\) | 7.57239i | 0.297014i | ||||||||
\(651\) | 19.0075 | − | 15.7140i | 0.744962 | − | 0.615879i | ||||
\(652\) | 2.00279 | − | 6.16396i | 0.0784354 | − | 0.241399i | ||||
\(653\) | −1.24974 | − | 3.84630i | −0.0489060 | − | 0.150517i | 0.923621 | − | 0.383307i | \(-0.125215\pi\) |
−0.972527 | + | 0.232789i | \(0.925215\pi\) | |||||||
\(654\) | 7.41837 | + | 10.2105i | 0.290081 | + | 0.399263i | ||||
\(655\) | 9.13372 | + | 12.5715i | 0.356884 | + | 0.491209i | ||||
\(656\) | 0.770735 | + | 2.37208i | 0.0300922 | + | 0.0926141i | ||||
\(657\) | 1.97557 | − | 6.08018i | 0.0770744 | − | 0.237210i | ||||
\(658\) | −2.75114 | + | 2.27444i | −0.107251 | + | 0.0886668i | ||||
\(659\) | − | 28.0755i | − | 1.09367i | −0.837241 | − | 0.546834i | \(-0.815833\pi\) | ||
0.837241 | − | 0.546834i | \(-0.184167\pi\) | |||||||
\(660\) | 5.76380 | − | 2.11631i | 0.224356 | − | 0.0823772i | ||||
\(661\) | 7.40313i | 0.287948i | 0.989581 | + | 0.143974i | \(0.0459882\pi\) | ||||
−0.989581 | + | 0.143974i | \(0.954012\pi\) | |||||||
\(662\) | −10.7001 | + | 14.7274i | −0.415871 | + | 0.572398i | ||||
\(663\) | −26.0238 | − | 8.45566i | −1.01068 | − | 0.328390i | ||||
\(664\) | −9.66695 | + | 3.14098i | −0.375150 | + | 0.121894i | ||||
\(665\) | −22.6974 | + | 8.97801i | −0.880168 | + | 0.348152i | ||||
\(666\) | 2.18212 | + | 3.00344i | 0.0845556 | + | 0.116381i | ||||
\(667\) | 30.3082 | − | 9.84773i | 1.17354 | − | 0.381306i | ||||
\(668\) | 7.38866 | − | 22.7400i | 0.285876 | − | 0.879835i | ||||
\(669\) | −14.2446 | − | 10.3493i | −0.550726 | − | 0.400126i | ||||
\(670\) | 1.52788 | 0.0590270 | ||||||||
\(671\) | −34.6887 | + | 12.7367i | −1.33914 | + | 0.491696i | ||||
\(672\) | −0.658804 | + | 2.56242i | −0.0254139 | + | 0.0988474i | ||||
\(673\) | −15.9992 | + | 22.0211i | −0.616726 | + | 0.848850i | −0.997109 | − | 0.0759787i | \(-0.975792\pi\) |
0.380384 | + | 0.924829i | \(0.375792\pi\) | |||||||
\(674\) | 3.01416 | − | 9.27664i | 0.116101 | − | 0.357323i | ||||
\(675\) | −1.49574 | + | 0.485995i | −0.0575711 | + | 0.0187060i | ||||
\(676\) | 8.23808 | − | 5.98531i | 0.316849 | − | 0.230204i | ||||
\(677\) | 1.40412 | − | 1.02015i | 0.0539647 | − | 0.0392077i | −0.560476 | − | 0.828171i | \(-0.689382\pi\) |
0.614441 | + | 0.788963i | \(0.289382\pi\) | |||||||
\(678\) | −2.04174 | − | 6.28384i | −0.0784126 | − | 0.241329i | ||||
\(679\) | −24.3494 | + | 38.3409i | −0.934443 | + | 1.47139i | ||||
\(680\) | −8.51167 | − | 6.18409i | −0.326408 | − | 0.237149i | ||||
\(681\) | − | 9.37850i | − | 0.359385i | ||||||
\(682\) | −1.16620 | − | 30.8934i | −0.0446562 | − | 1.18297i | ||||
\(683\) | −22.2244 | −0.850393 | −0.425197 | − | 0.905101i | \(-0.639795\pi\) | ||||
−0.425197 | + | 0.905101i | \(0.639795\pi\) | |||||||
\(684\) | 4.03158 | + | 2.92911i | 0.154151 | + | 0.111997i | ||||
\(685\) | 1.25793 | + | 0.408725i | 0.0480629 | + | 0.0156166i | ||||
\(686\) | −7.90187 | + | 16.7499i | −0.301695 | + | 0.639516i | ||||
\(687\) | −1.92038 | + | 1.39524i | −0.0732671 | + | 0.0532316i | ||||
\(688\) | 6.86328 | + | 9.44649i | 0.261660 | + | 0.360144i | ||||
\(689\) | 15.8979 | + | 48.9288i | 0.605663 | + | 1.86404i | ||||
\(690\) | −7.54572 | − | 2.45175i | −0.287261 | − | 0.0933366i | ||||
\(691\) | −23.5522 | + | 32.4169i | −0.895969 | + | 1.23320i | 0.0757670 | + | 0.997126i | \(0.475859\pi\) |
−0.971736 | + | 0.236070i | \(0.924141\pi\) | |||||||
\(692\) | 13.3695 | 0.508232 | ||||||||
\(693\) | −5.84231 | − | 6.54732i | −0.221931 | − | 0.248712i | ||||
\(694\) | 12.1595 | 0.461568 | ||||||||
\(695\) | 6.55375 | − | 9.02046i | 0.248598 | − | 0.342165i | ||||
\(696\) | −7.07198 | − | 2.29783i | −0.268063 | − | 0.0870989i | ||||
\(697\) | 4.38013 | + | 13.4807i | 0.165909 | + | 0.510616i | ||||
\(698\) | −4.41789 | − | 6.08070i | −0.167219 | − | 0.230158i | ||||
\(699\) | 5.22868 | − | 3.79886i | 0.197767 | − | 0.143686i | ||||
\(700\) | 4.15288 | − | 0.259923i | 0.156964 | − | 0.00982416i | ||||
\(701\) | −27.9300 | − | 9.07502i | −1.05490 | − | 0.342759i | −0.270312 | − | 0.962773i | \(-0.587127\pi\) |
−0.784591 | + | 0.620014i | \(0.787127\pi\) | |||||||
\(702\) | 3.89530 | + | 2.83010i | 0.147019 | + | 0.106815i | ||||
\(703\) | −18.5003 | −0.697751 | ||||||||
\(704\) | 2.04929 | + | 2.60776i | 0.0772356 | + | 0.0982836i | ||||
\(705\) | 2.49771i | 0.0940693i | ||||||||
\(706\) | −22.0805 | − | 16.0424i | −0.831010 | − | 0.603764i | ||||
\(707\) | 1.43597 | + | 0.911950i | 0.0540053 | + | 0.0342974i | ||||
\(708\) | 2.00342 | + | 6.16590i | 0.0752932 | + | 0.231729i | ||||
\(709\) | 12.6627 | − | 9.20001i | 0.475559 | − | 0.345514i | −0.324045 | − | 0.946042i | \(-0.605043\pi\) |
0.799604 | + | 0.600528i | \(0.205043\pi\) | |||||||
\(710\) | 7.88510 | − | 5.72886i | 0.295923 | − | 0.215000i | ||||
\(711\) | 12.6595 | − | 4.11333i | 0.474769 | − | 0.154262i | ||||
\(712\) | 3.01665 | − | 9.28429i | 0.113054 | − | 0.347943i | ||||
\(713\) | −23.4810 | + | 32.3188i | −0.879371 | + | 1.21035i | ||||
\(714\) | −3.74402 | + | 14.5624i | −0.140116 | + | 0.544982i | ||||
\(715\) | −8.06848 | + | 28.4411i | −0.301744 | + | 1.06364i | ||||
\(716\) | −3.98348 | −0.148870 | ||||||||
\(717\) | −17.9921 | − | 13.0720i | −0.671928 | − | 0.488185i | ||||
\(718\) | −1.44922 | + | 4.46025i | −0.0540845 | + | 0.166455i | ||||
\(719\) | −37.4324 | + | 12.1625i | −1.39599 | + | 0.453585i | −0.907893 | − | 0.419203i | \(-0.862310\pi\) |
−0.488099 | + | 0.872788i | \(0.662310\pi\) | |||||||
\(720\) | 1.08816 | + | 1.49773i | 0.0405534 | + | 0.0558170i | ||||
\(721\) | 20.8961 | − | 8.26549i | 0.778211 | − | 0.307823i | ||||
\(722\) | −5.54784 | + | 1.80260i | −0.206469 | + | 0.0670859i | ||||
\(723\) | 25.1161 | + | 8.16072i | 0.934079 | + | 0.303501i | ||||
\(724\) | −7.13647 | + | 9.82251i | −0.265225 | + | 0.365051i | ||||
\(725\) | 11.6946i | 0.434326i | ||||||||
\(726\) | −10.9687 | + | 0.829300i | −0.407086 | + | 0.0307782i | ||||
\(727\) | − | 36.2708i | − | 1.34521i | −0.740001 | − | 0.672606i | \(-0.765175\pi\) | ||
0.740001 | − | 0.672606i | \(-0.234825\pi\) | |||||||
\(728\) | −8.11690 | − | 9.81813i | −0.300832 | − | 0.363884i | ||||
\(729\) | −0.309017 | + | 0.951057i | −0.0114451 | + | 0.0352243i | ||||
\(730\) | 3.65736 | + | 11.2562i | 0.135365 | + | 0.416611i | ||||
\(731\) | 39.0044 | + | 53.6849i | 1.44263 | + | 1.98561i | ||||
\(732\) | −6.54896 | − | 9.01388i | −0.242057 | − | 0.333162i | ||||
\(733\) | −11.5204 | − | 35.4561i | −0.425515 | − | 1.30960i | −0.902500 | − | 0.430690i | \(-0.858270\pi\) |
0.476985 | − | 0.878912i | \(-0.341730\pi\) | |||||||
\(734\) | −0.534240 | + | 1.64422i | −0.0197192 | + | 0.0606893i | ||||
\(735\) | 5.51007 | + | 11.7293i | 0.203242 | + | 0.432641i | ||||
\(736\) | − | 4.28567i | − | 0.157972i | ||||||
\(737\) | −2.63330 | − | 0.747044i | −0.0969990 | − | 0.0275177i | ||||
\(738\) | − | 2.49415i | − | 0.0918110i | ||||||
\(739\) | 7.94829 | − | 10.9399i | 0.292383 | − | 0.402430i | −0.637404 | − | 0.770530i | \(-0.719992\pi\) |
0.929786 | + | 0.368100i | \(0.119992\pi\) | |||||||
\(740\) | −6.53645 | − | 2.12382i | −0.240285 | − | 0.0780733i | ||||
\(741\) | −22.8196 | + | 7.41452i | −0.838297 | + | 0.272379i | ||||
\(742\) | 26.2881 | − | 10.3983i | 0.965065 | − | 0.381734i | ||||
\(743\) | −7.54289 | − | 10.3819i | −0.276722 | − | 0.380875i | 0.647923 | − | 0.761706i | \(-0.275638\pi\) |
−0.924645 | + | 0.380831i | \(0.875638\pi\) | |||||||
\(744\) | 8.86513 | − | 2.88046i | 0.325012 | − | 0.105603i | ||||
\(745\) | −6.83962 | + | 21.0502i | −0.250584 | + | 0.771219i | ||||
\(746\) | −23.0400 | − | 16.7395i | −0.843553 | − | 0.612877i | ||||
\(747\) | 10.1644 | 0.371897 | ||||||||
\(748\) | 11.6462 | + | 14.8200i | 0.425829 | + | 0.541874i | ||||
\(749\) | 16.8694 | + | 4.33716i | 0.616394 | + | 0.158477i | ||||
\(750\) | 7.15218 | − | 9.84413i | 0.261161 | − | 0.359457i | ||||
\(751\) | 7.52591 | − | 23.1624i | 0.274624 | − | 0.845207i | −0.714694 | − | 0.699437i | \(-0.753434\pi\) |
0.989319 | − | 0.145770i | \(-0.0465659\pi\) | |||||||
\(752\) | −1.28314 | + | 0.416917i | −0.0467913 | + | 0.0152034i | ||||
\(753\) | −19.2485 | + | 13.9848i | −0.701453 | + | 0.509636i | ||||
\(754\) | 28.9651 | − | 21.0444i | 1.05485 | − | 0.766392i | ||||
\(755\) | 12.9409 | + | 39.8279i | 0.470967 | + | 1.44949i | ||||
\(756\) | 1.41839 | − | 2.23342i | 0.0515864 | − | 0.0812287i | ||||
\(757\) | −2.03549 | − | 1.47887i | −0.0739812 | − | 0.0537505i | 0.550180 | − | 0.835046i | \(-0.314559\pi\) |
−0.624161 | + | 0.781296i | \(0.714559\pi\) | |||||||
\(758\) | 9.19722i | 0.334058i | ||||||||
\(759\) | 11.8063 | + | 7.91503i | 0.428542 | + | 0.287298i | ||||
\(760\) | −9.22556 | −0.334646 | ||||||||
\(761\) | −14.8357 | − | 10.7787i | −0.537792 | − | 0.390729i | 0.285472 | − | 0.958387i | \(-0.407850\pi\) |
−0.823264 | + | 0.567658i | \(0.807850\pi\) | |||||||
\(762\) | −7.21346 | − | 2.34379i | −0.261316 | − | 0.0849067i | ||||
\(763\) | 2.08586 | + | 33.3265i | 0.0755131 | + | 1.20650i | ||||
\(764\) | −1.19851 | + | 0.870767i | −0.0433605 | + | 0.0315032i | ||||
\(765\) | 6.18409 | + | 8.51167i | 0.223586 | + | 0.307740i | ||||
\(766\) | −0.323574 | − | 0.995858i | −0.0116912 | − | 0.0359818i | ||||
\(767\) | −29.6879 | − | 9.64618i | −1.07197 | − | 0.348304i | ||||
\(768\) | −0.587785 | + | 0.809017i | −0.0212099 | + | 0.0291929i | ||||
\(769\) | −31.1988 | −1.12506 | −0.562528 | − | 0.826778i | \(-0.690171\pi\) | ||||
−0.562528 | + | 0.826778i | \(0.690171\pi\) | |||||||
\(770\) | 15.8747 | + | 3.44871i | 0.572086 | + | 0.124283i | ||||
\(771\) | 22.4347 | 0.807965 | ||||||||
\(772\) | 7.63207 | − | 10.5046i | 0.274684 | − | 0.378071i | ||||
\(773\) | −3.06511 | − | 0.995913i | −0.110244 | − | 0.0358205i | 0.253375 | − | 0.967368i | \(-0.418459\pi\) |
−0.363620 | + | 0.931548i | \(0.618459\pi\) | |||||||
\(774\) | −3.60824 | − | 11.1050i | −0.129696 | − | 0.399162i | ||||
\(775\) | −8.61683 | − | 11.8600i | −0.309526 | − | 0.426025i | ||||
\(776\) | −13.8883 | + | 10.0905i | −0.498562 | + | 0.362226i | ||||
\(777\) | 0.613557 | + | 9.80304i | 0.0220112 | + | 0.351682i | ||||
\(778\) | 0.423073 | + | 0.137465i | 0.0151679 | + | 0.00492834i | ||||
\(779\) | 10.0554 | + | 7.30566i | 0.360271 | + | 0.261752i | ||||
\(780\) | −8.91371 | −0.319162 | ||||||||
\(781\) | −16.3911 | + | 6.01836i | −0.586520 | + | 0.215354i | ||||
\(782\) | − | 24.3557i | − | 0.870959i | ||||||
\(783\) | 6.01579 | + | 4.37073i | 0.214987 | + | 0.156197i | ||||
\(784\) | −5.10589 | + | 4.78851i | −0.182353 | + | 0.171018i | ||||
\(785\) | 2.67870 | + | 8.24420i | 0.0956071 | + | 0.294248i | ||||
\(786\) | 6.79065 | − | 4.93370i | 0.242215 | − | 0.175979i | ||||
\(787\) | −1.77556 | + | 1.29002i | −0.0632919 | + | 0.0459843i | −0.618981 | − | 0.785406i | \(-0.712454\pi\) |
0.555689 | + | 0.831390i | \(0.312454\pi\) | |||||||
\(788\) | 11.7183 | − | 3.80752i | 0.417449 | − | 0.135637i | ||||
\(789\) | 8.16761 | − | 25.1373i | 0.290775 | − | 0.894912i | ||||
\(790\) | −14.4845 | + | 19.9363i | −0.515337 | + | 0.709300i | ||||
\(791\) | 4.35286 | − | 16.9304i | 0.154770 | − | 0.601977i | ||||
\(792\) | −1.14315 | − | 3.11339i | −0.0406201 | − | 0.110630i | ||||
\(793\) | 53.6460 | 1.90502 | ||||||||
\(794\) | −18.1321 | − | 13.1737i | −0.643483 | − | 0.467518i | ||||
\(795\) | 6.11270 | − | 18.8129i | 0.216795 | − | 0.667226i | ||||
\(796\) | 5.10976 | − | 1.66026i | 0.181111 | − | 0.0588464i | ||||
\(797\) | −22.5371 | − | 31.0197i | −0.798306 | − | 1.09877i | −0.993024 | − | 0.117915i | \(-0.962379\pi\) |
0.194717 | − | 0.980859i | \(-0.437621\pi\) | |||||||
\(798\) | 4.84959 | + | 12.2603i | 0.171674 | + | 0.434010i | ||||
\(799\) | −7.29215 | + | 2.36936i | −0.257978 | + | 0.0838220i | ||||
\(800\) | 1.49574 | + | 0.485995i | 0.0528824 | + | 0.0171825i | ||||
\(801\) | −5.73801 | + | 7.89769i | −0.202742 | + | 0.279051i | ||||
\(802\) | − | 9.32133i | − | 0.329148i | ||||||
\(803\) | −0.799843 | − | 21.1884i | −0.0282259 | − | 0.747721i | ||||
\(804\) | − | 0.825302i | − | 0.0291062i | ||||||
\(805\) | −13.3752 | − | 16.1786i | −0.471415 | − | 0.570220i | ||||
\(806\) | −13.8690 | + | 42.6843i | −0.488514 | + | 1.50349i | ||||
\(807\) | 0.387943 | + | 1.19397i | 0.0136562 | + | 0.0420296i | ||||
\(808\) | 0.377915 | + | 0.520155i | 0.0132950 | + | 0.0182990i | ||||
\(809\) | 5.76836 | + | 7.93947i | 0.202805 | + | 0.279137i | 0.898290 | − | 0.439404i | \(-0.144810\pi\) |
−0.695485 | + | 0.718541i | \(0.744810\pi\) | |||||||
\(810\) | −0.572081 | − | 1.76068i | −0.0201009 | − | 0.0618641i | ||||
\(811\) | 14.6472 | − | 45.0794i | 0.514332 | − | 1.58295i | −0.270163 | − | 0.962815i | \(-0.587078\pi\) |
0.784495 | − | 0.620136i | \(-0.212922\pi\) | |||||||
\(812\) | −12.5355 | − | 15.1628i | −0.439910 | − | 0.532111i | ||||
\(813\) | − | 7.50970i | − | 0.263377i | ||||||
\(814\) | 10.2272 | + | 6.85637i | 0.358463 | + | 0.240316i | ||||
\(815\) | − | 11.9986i | − | 0.420291i | ||||||
\(816\) | −3.34042 | + | 4.59769i | −0.116938 | + | 0.160951i | ||||
\(817\) | 55.3397 | + | 17.9810i | 1.93609 | + | 0.629074i | ||||
\(818\) | 8.33294 | − | 2.70754i | 0.291354 | − | 0.0946668i | ||||
\(819\) | 4.68566 | + | 11.8459i | 0.163730 | + | 0.413928i | ||||
\(820\) | 2.71404 | + | 3.73556i | 0.0947785 | + | 0.130451i | ||||
\(821\) | −7.20633 | + | 2.34148i | −0.251502 | + | 0.0817181i | −0.432055 | − | 0.901847i | \(-0.642211\pi\) |
0.180553 | + | 0.983565i | \(0.442211\pi\) | |||||||
\(822\) | 0.220778 | − | 0.679486i | 0.00770052 | − | 0.0236998i | ||||
\(823\) | 32.4363 | + | 23.5664i | 1.13066 | + | 0.821472i | 0.985791 | − | 0.167979i | \(-0.0537240\pi\) |
0.144869 | + | 0.989451i | \(0.453724\pi\) | |||||||
\(824\) | 8.49340 | 0.295882 | ||||||||
\(825\) | −4.10126 | + | 3.22295i | −0.142787 | + | 0.112209i | ||||
\(826\) | −4.27117 | + | 16.6127i | −0.148613 | + | 0.578029i | ||||
\(827\) | −29.0579 | + | 39.9947i | −1.01044 | + | 1.39075i | −0.0917478 | + | 0.995782i | \(0.529245\pi\) |
−0.918694 | + | 0.394971i | \(0.870755\pi\) | |||||||
\(828\) | −1.32435 | + | 4.07592i | −0.0460242 | + | 0.141648i | ||||
\(829\) | 46.6602 | − | 15.1608i | 1.62058 | − | 0.526557i | 0.648499 | − | 0.761216i | \(-0.275397\pi\) |
0.972078 | + | 0.234658i | \(0.0753971\pi\) | |||||||
\(830\) | −15.2236 | + | 11.0606i | −0.528417 | + | 0.383918i | ||||
\(831\) | −4.14350 | + | 3.01043i | −0.143736 | + | 0.104431i | ||||
\(832\) | −1.48787 | − | 4.57920i | −0.0515827 | − | 0.158755i | ||||
\(833\) | −29.0171 | + | 27.2134i | −1.00538 | + | 0.942888i | ||||
\(834\) | −4.87252 | − | 3.54009i | −0.168721 | − | 0.122583i | ||||
\(835\) | − | 44.2648i | − | 1.53185i | ||||||
\(836\) | 15.9003 | + | 4.51077i | 0.549924 | + | 0.156008i | ||||
\(837\) | −9.32135 | −0.322193 | ||||||||
\(838\) | −1.14594 | − | 0.832576i | −0.0395859 | − | 0.0287609i | ||||
\(839\) | −9.91654 | − | 3.22208i | −0.342357 | − | 0.111239i | 0.132792 | − | 0.991144i | \(-0.457606\pi\) |
−0.475149 | + | 0.879905i | \(0.657606\pi\) | |||||||
\(840\) | 0.305964 | + | 4.88850i | 0.0105567 | + | 0.168669i | ||||
\(841\) | 21.2714 | − | 15.4546i | 0.733498 | − | 0.532917i | ||||
\(842\) | −7.11985 | − | 9.79963i | −0.245366 | − | 0.337717i | ||||
\(843\) | 2.82957 | + | 8.70853i | 0.0974557 | + | 0.299938i | ||||
\(844\) | 1.66846 | + | 0.542115i | 0.0574307 | + | 0.0186604i | ||||
\(845\) | 11.0806 | − | 15.2511i | 0.381183 | − | 0.524654i | ||||
\(846\) | 1.34917 | 0.0463855 | ||||||||
\(847\) | −25.6740 | − | 13.7057i | −0.882169 | − | 0.470934i | ||||
\(848\) | 10.6850 | 0.366925 | ||||||||
\(849\) | −10.6095 | + | 14.6027i | −0.364116 | + | 0.501163i | ||||
\(850\) | 8.50037 | + | 2.76194i | 0.291560 | + | 0.0947337i | ||||
\(851\) | −4.91657 | − | 15.1316i | −0.168538 | − | 0.518706i | ||||
\(852\) | −3.09452 | − | 4.25924i | −0.106016 | − | 0.145919i | ||||
\(853\) | −40.4898 | + | 29.4176i | −1.38635 | + | 1.00724i | −0.390090 | + | 0.920777i | \(0.627556\pi\) |
−0.996255 | + | 0.0864622i | \(0.972444\pi\) | |||||||
\(854\) | −1.84140 | − | 29.4208i | −0.0630114 | − | 1.00676i | ||||
\(855\) | 8.77403 | + | 2.85086i | 0.300065 | + | 0.0974972i | ||||
\(856\) | 5.32607 | + | 3.86962i | 0.182041 | + | 0.132261i | ||||
\(857\) | 27.7628 | 0.948359 | 0.474179 | − | 0.880428i | \(-0.342745\pi\) | ||||
0.474179 | + | 0.880428i | \(0.342745\pi\) | |||||||
\(858\) | 15.3628 | + | 4.35829i | 0.524478 | + | 0.148790i | ||||
\(859\) | 0.919865i | 0.0313854i | 0.999877 | + | 0.0156927i | \(0.00499534\pi\) | ||||
−0.999877 | + | 0.0156927i | \(0.995005\pi\) | |||||||
\(860\) | 17.4882 | + | 12.7059i | 0.596344 | + | 0.433269i | ||||
\(861\) | 3.53768 | − | 5.57049i | 0.120564 | − | 0.189842i | ||||
\(862\) | −5.50498 | − | 16.9426i | −0.187500 | − | 0.577067i | ||||
\(863\) | −34.0077 | + | 24.7081i | −1.15764 | + | 0.841072i | −0.989477 | − | 0.144688i | \(-0.953782\pi\) |
−0.168159 | + | 0.985760i | \(0.553782\pi\) | |||||||
\(864\) | 0.809017 | − | 0.587785i | 0.0275233 | − | 0.0199969i | ||||
\(865\) | 23.5394 | − | 7.64843i | 0.800365 | − | 0.260054i | ||||
\(866\) | −0.755191 | + | 2.32424i | −0.0256624 | + | 0.0789808i | ||||
\(867\) | −8.99141 | + | 12.3756i | −0.305364 | + | 0.420298i | ||||
\(868\) | 23.8852 | + | 6.14095i | 0.810716 | + | 0.208437i | ||||
\(869\) | 34.7119 | − | 27.2781i | 1.17752 | − | 0.925348i | ||||
\(870\) | −13.7661 | −0.466713 | ||||||||
\(871\) | 3.21480 | + | 2.33569i | 0.108929 | + | 0.0791418i | ||||
\(872\) | −3.90007 | + | 12.0032i | −0.132073 | + | 0.406479i | ||||
\(873\) | 16.3267 | − | 5.30487i | 0.552575 | − | 0.179543i | ||||
\(874\) | −12.5532 | − | 17.2780i | −0.424619 | − | 0.584438i | ||||
\(875\) | 29.9367 | − | 11.8415i | 1.01204 | − | 0.400316i | ||||
\(876\) | 6.08018 | − | 1.97557i | 0.205430 | − | 0.0667484i | ||||
\(877\) | −27.3894 | − | 8.89935i | −0.924874 | − | 0.300510i | −0.192409 | − | 0.981315i | \(-0.561630\pi\) |
−0.732465 | + | 0.680805i | \(0.761630\pi\) | |||||||
\(878\) | 4.36700 | − | 6.01066i | 0.147379 | − | 0.202850i | ||||
\(879\) | 31.2338i | 1.05349i | ||||||||
\(880\) | 5.10001 | + | 3.41908i | 0.171921 | + | 0.115257i | ||||
\(881\) | 42.2224i | 1.42251i | 0.702935 | + | 0.711254i | \(0.251872\pi\) | ||||
−0.702935 | + | 0.711254i | \(0.748128\pi\) | |||||||
\(882\) | 6.33572 | − | 2.97634i | 0.213335 | − | 0.100219i | ||||
\(883\) | −9.23856 | + | 28.4334i | −0.310902 | + | 0.956859i | 0.666506 | + | 0.745499i | \(0.267789\pi\) |
−0.977408 | + | 0.211359i | \(0.932211\pi\) | |||||||
\(884\) | −8.45566 | − | 26.0238i | −0.284394 | − | 0.875276i | ||||
\(885\) | 7.05479 | + | 9.71008i | 0.237144 | + | 0.326401i | ||||
\(886\) | −0.152118 | − | 0.209372i | −0.00511049 | − | 0.00703399i | ||||
\(887\) | 6.43303 | + | 19.7988i | 0.216000 | + | 0.664780i | 0.999081 | + | 0.0428600i | \(0.0136469\pi\) |
−0.783081 | + | 0.621920i | \(0.786353\pi\) | |||||||
\(888\) | −1.14721 | + | 3.53075i | −0.0384979 | + | 0.118484i | ||||
\(889\) | −12.7863 | − | 15.4662i | −0.428838 | − | 0.518719i | ||||
\(890\) | − | 18.0725i | − | 0.605790i | ||||||
\(891\) | 0.125111 | + | 3.31426i | 0.00419137 | + | 0.111032i | ||||
\(892\) | − | 17.6072i | − | 0.589534i | ||||||
\(893\) | −3.95188 | + | 5.43929i | −0.132245 | + | 0.182019i | ||||
\(894\) | 11.3705 | + | 3.69451i | 0.380287 | + | 0.123563i | ||||
\(895\) | −7.01365 | + | 2.27887i | −0.234441 | + | 0.0761744i | ||||
\(896\) | −2.46027 | + | 0.973167i | −0.0821920 | + | 0.0325112i | ||||
\(897\) | −12.1289 | − | 16.6940i | −0.404972 | − | 0.557396i | ||||
\(898\) | −26.9300 | + | 8.75008i | −0.898665 | + | 0.291994i | ||||
\(899\) | −21.4188 | + | 65.9204i | −0.714359 | + | 2.19857i | ||||
\(900\) | −1.27235 | − | 0.924418i | −0.0424117 | − | 0.0308139i | ||||
\(901\) | 60.7235 | 2.02299 | ||||||||
\(902\) | −2.85119 | − | 7.76527i | −0.0949343 | − | 0.258555i | ||||
\(903\) | 7.69253 | − | 29.9201i | 0.255991 | − | 0.995678i | ||||
\(904\) | 3.88362 | − | 5.34535i | 0.129167 | − | 0.177784i | ||||
\(905\) | −6.94580 | + | 21.3770i | −0.230886 | + | 0.710595i | ||||
\(906\) | 21.5136 | − | 6.99018i | 0.714741 | − | 0.232233i | ||||
\(907\) | −2.23576 | + | 1.62437i | −0.0742370 | + | 0.0539364i | −0.624285 | − | 0.781197i | \(-0.714610\pi\) |
0.550048 | + | 0.835133i | \(0.314610\pi\) | |||||||
\(908\) | 7.58736 | − | 5.51254i | 0.251796 | − | 0.182940i | ||||
\(909\) | −0.198682 | − | 0.611479i | −0.00658985 | − | 0.0202815i | ||||
\(910\) | −19.9081 | − | 12.6431i | −0.659946 | − | 0.419115i | ||||
\(911\) | 6.03876 | + | 4.38741i | 0.200073 | + | 0.145361i | 0.683311 | − | 0.730128i | \(-0.260539\pi\) |
−0.483238 | + | 0.875489i | \(0.660539\pi\) | |||||||
\(912\) | 4.98331i | 0.165014i | ||||||||
\(913\) | 31.6459 | − | 11.6195i | 1.04732 | − | 0.384549i | ||||
\(914\) | 14.0942 | 0.466195 | ||||||||
\(915\) | −16.6873 | − | 12.1241i | −0.551666 | − | 0.400809i | ||||
\(916\) | −2.25754 | − | 0.733520i | −0.0745913 | − | 0.0242362i | ||||
\(917\) | 22.1643 | − | 1.38723i | 0.731930 | − | 0.0458104i | ||||
\(918\) | 4.59769 | − | 3.34042i | 0.151746 | − | 0.110250i | ||||
\(919\) | −1.07953 | − | 1.48585i | −0.0356105 | − | 0.0490137i | 0.790840 | − | 0.612022i | \(-0.209644\pi\) |
−0.826451 | + | 0.563009i | \(0.809644\pi\) | |||||||
\(920\) | −2.45175 | − | 7.54572i | −0.0808319 | − | 0.248775i | ||||
\(921\) | 13.1315 | + | 4.26668i | 0.432698 | + | 0.140592i | ||||
\(922\) | 2.43436 | − | 3.35060i | 0.0801712 | − | 0.110346i | ||||
\(923\) | 25.3488 | 0.834366 | ||||||||
\(924\) | 1.86287 | − | 8.57495i | 0.0612838 | − | 0.282095i | ||||
\(925\) | 5.83862 | 0.191973 | ||||||||
\(926\) | 18.6177 | − | 25.6250i | 0.611815 | − | 0.842091i | ||||
\(927\) | −8.07770 | − | 2.62460i | −0.265307 | − | 0.0862033i | ||||
\(928\) | −2.29783 | − | 7.07198i | −0.0754298 | − | 0.232149i | ||||
\(929\) | −9.12758 | − | 12.5630i | −0.299466 | − | 0.412180i | 0.632594 | − | 0.774484i | \(-0.281990\pi\) |
−0.932060 | + | 0.362304i | \(0.881990\pi\) | |||||||
\(930\) | 13.9608 | − | 10.1431i | 0.457794 | − | 0.332607i | ||||
\(931\) | −6.55871 | + | 34.2610i | −0.214953 | + | 1.12286i | ||||
\(932\) | 6.14668 | + | 1.99718i | 0.201341 | + | 0.0654197i | ||||
\(933\) | 0.660111 | + | 0.479599i | 0.0216111 | + | 0.0157014i | ||||
\(934\) | −7.38587 | −0.241673 | ||||||||
\(935\) | 28.9836 | + | 19.4308i | 0.947865 | + | 0.635455i | ||||
\(936\) | 4.81485i | 0.157378i | ||||||||
\(937\) | 14.1813 | + | 10.3033i | 0.463283 | + | 0.336595i | 0.794818 | − | 0.606848i | \(-0.207566\pi\) |
−0.331535 | + | 0.943443i | \(0.607566\pi\) | |||||||
\(938\) | 1.17060 | − | 1.84325i | 0.0382215 | − | 0.0601842i | ||||
\(939\) | 0.244022 | + | 0.751022i | 0.00796335 | + | 0.0245087i | ||||
\(940\) | −2.02069 | + | 1.46812i | −0.0659077 | + | 0.0478847i | ||||
\(941\) | −3.83831 | + | 2.78869i | −0.125125 | + | 0.0909088i | −0.648588 | − | 0.761140i | \(-0.724640\pi\) |
0.523462 | + | 0.852049i | \(0.324640\pi\) | |||||||
\(942\) | 4.45321 | − | 1.44694i | 0.145094 | − | 0.0471438i | ||||
\(943\) | −3.30312 | + | 10.1660i | −0.107564 | + | 0.331049i | ||||
\(944\) | −3.81073 | + | 5.24503i | −0.124029 | + | 0.170711i | ||||
\(945\) | 1.21964 | − | 4.74378i | 0.0396749 | − | 0.154315i | ||||
\(946\) | −23.9286 | − | 30.4495i | −0.777985 | − | 0.989999i | ||||
\(947\) | 23.4052 | 0.760565 | 0.380283 | − | 0.924870i | \(-0.375827\pi\) | ||||
0.380283 | + | 0.924870i | \(0.375827\pi\) | |||||||
\(948\) | 10.7688 | + | 7.82401i | 0.349755 | + | 0.254112i | ||||
\(949\) | −9.51209 | + | 29.2752i | −0.308775 | + | 0.950313i | ||||
\(950\) | 7.45373 | − | 2.42186i | 0.241831 | − | 0.0785756i | ||||
\(951\) | −9.27546 | − | 12.7666i | −0.300777 | − | 0.413985i | ||||
\(952\) | −13.9819 | + | 5.53056i | −0.453155 | + | 0.179246i | ||||
\(953\) | 46.3958 | − | 15.0749i | 1.50291 | − | 0.488325i | 0.562044 | − | 0.827107i | \(-0.310015\pi\) |
0.940865 | + | 0.338783i | \(0.110015\pi\) | |||||||
\(954\) | −10.1621 | − | 3.30185i | −0.329009 | − | 0.106901i | ||||
\(955\) | −1.61204 | + | 2.21879i | −0.0521645 | + | 0.0717983i | ||||
\(956\) | − | 22.2395i | − | 0.719277i | ||||||
\(957\) | 23.7259 | + | 6.73082i | 0.766949 | + | 0.217577i | ||||
\(958\) | 6.11623i | 0.197606i | ||||||||
\(959\) | 1.45687 | − | 1.20443i | 0.0470447 | − | 0.0388930i | ||||
\(960\) | −0.572081 | + | 1.76068i | −0.0184638 | + | 0.0568258i | ||||
\(961\) | −17.2702 | − | 53.1523i | −0.557104 | − | 1.71459i | ||||
\(962\) | −10.5066 | − | 14.4611i | −0.338747 | − | 0.466245i | ||||
\(963\) | −3.86962 | − | 5.32607i | −0.124697 | − | 0.171630i | ||||
\(964\) | 8.16072 | + | 25.1161i | 0.262839 | + | 0.808936i | ||||
\(965\) | 7.42816 | − | 22.8615i | 0.239121 | − | 0.735939i | ||||
\(966\) | −8.73906 | + | 7.22480i | −0.281175 | + | 0.232454i | ||||
\(967\) | − | 40.4487i | − | 1.30074i | −0.759617 | − | 0.650371i | \(-0.774614\pi\) | ||
0.759617 | − | 0.650371i | \(-0.225386\pi\) | |||||||
\(968\) | −7.11815 | − | 8.38641i | −0.228786 | − | 0.269549i | ||||
\(969\) | 28.3204i | 0.909782i | ||||||||
\(970\) | −18.6804 | + | 25.7114i | −0.599791 | + | 0.825542i | ||||
\(971\) | −10.2147 | − | 3.31895i | −0.327805 | − | 0.106510i | 0.140491 | − | 0.990082i | \(-0.455132\pi\) |
−0.468296 | + | 0.883572i | \(0.655132\pi\) | |||||||
\(972\) | −0.951057 | + | 0.309017i | −0.0305052 | + | 0.00991172i | ||||
\(973\) | −5.86115 | − | 14.8176i | −0.187900 | − | 0.475032i | ||||
\(974\) | −10.8779 | − | 14.9721i | −0.348549 | − | 0.479736i | ||||
\(975\) | 7.20177 | − | 2.34000i | 0.230641 | − | 0.0749399i | ||||
\(976\) | 3.44299 | − | 10.5964i | 0.110208 | − | 0.339184i | ||||
\(977\) | −27.3081 | − | 19.8405i | −0.873662 | − | 0.634753i | 0.0579049 | − | 0.998322i | \(-0.481558\pi\) |
−0.931567 | + | 0.363569i | \(0.881558\pi\) | |||||||
\(978\) | −6.48117 | −0.207245 | ||||||||
\(979\) | −8.83640 | + | 31.1480i | −0.282413 | + | 0.995494i | ||||
\(980\) | −6.25045 | + | 11.3520i | −0.199663 | + | 0.362628i | ||||
\(981\) | 7.41837 | − | 10.2105i | 0.236850 | − | 0.325997i | ||||
\(982\) | −2.58245 | + | 7.94795i | −0.0824091 | + | 0.253629i | ||||
\(983\) | −1.61438 | + | 0.524545i | −0.0514908 | + | 0.0167304i | −0.334649 | − | 0.942343i | \(-0.608618\pi\) |
0.283158 | + | 0.959073i | \(0.408618\pi\) | |||||||
\(984\) | 2.01781 | − | 1.46603i | 0.0643255 | − | 0.0467352i | ||||
\(985\) | 18.4541 | − | 13.4077i | 0.587996 | − | 0.427204i | ||||
\(986\) | −13.0587 | − | 40.1905i | −0.415873 | − | 1.27992i | ||||
\(987\) | 3.01327 | + | 1.91365i | 0.0959134 | + | 0.0609122i | ||||
\(988\) | −19.4115 | − | 14.1033i | −0.617561 | − | 0.448684i | ||||
\(989\) | 50.0417i | 1.59123i | ||||||||
\(990\) | −3.79384 | − | 4.82772i | −0.120576 | − | 0.153435i | ||||
\(991\) | −21.5021 | −0.683038 | −0.341519 | − | 0.939875i | \(-0.610941\pi\) | ||||
−0.341519 | + | 0.939875i | \(0.610941\pi\) | |||||||
\(992\) | 7.54113 | + | 5.47895i | 0.239431 | + | 0.173957i | ||||
\(993\) | 17.3131 | + | 5.62538i | 0.549415 | + | 0.178516i | ||||
\(994\) | −0.870099 | − | 13.9019i | −0.0275979 | − | 0.440942i | ||||
\(995\) | 8.04687 | − | 5.84639i | 0.255103 | − | 0.185343i | ||||
\(996\) | 5.97450 | + | 8.22320i | 0.189309 | + | 0.260562i | ||||
\(997\) | 10.3653 | + | 31.9011i | 0.328272 | + | 1.01032i | 0.969942 | + | 0.243336i | \(0.0782419\pi\) |
−0.641670 | + | 0.766981i | \(0.721758\pi\) | |||||||
\(998\) | 28.2248 | + | 9.17079i | 0.893440 | + | 0.290296i | ||||
\(999\) | 2.18212 | − | 3.00344i | 0.0690393 | − | 0.0950245i |
(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 | 462.2.u.b.139.6 | yes | 32 | |
7.6 | odd | 2 | 462.2.u.a.139.7 | ✓ | 32 | ||
11.8 | odd | 10 | 462.2.u.a.349.7 | yes | 32 | ||
77.41 | even | 10 | inner | 462.2.u.b.349.6 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.u.a.139.7 | ✓ | 32 | 7.6 | odd | 2 | ||
462.2.u.a.349.7 | yes | 32 | 11.8 | odd | 10 | ||
462.2.u.b.139.6 | yes | 32 | 1.1 | even | 1 | trivial | |
462.2.u.b.349.6 | yes | 32 | 77.41 | even | 10 | inner |