Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(97,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bx (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 223.3 | ||
Character | \(\chi\) | \(=\) | 546.223 |
Dual form | 546.2.bx.b.475.3 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | −0.866025 | + | 0.500000i | −0.500000 | + | 0.288675i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 0.781970 | + | 0.781970i | 0.349708 | + | 0.349708i | 0.860001 | − | 0.510293i | \(-0.170463\pi\) |
−0.510293 | + | 0.860001i | \(0.670463\pi\) | |||||||
\(6\) | 0.965926 | − | 0.258819i | 0.394338 | − | 0.105662i | ||||
\(7\) | −2.22139 | − | 1.43716i | −0.839607 | − | 0.543195i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | −0.552937 | − | 0.957714i | −0.174854 | − | 0.302856i | ||||
\(11\) | 0.312928 | − | 1.16786i | 0.0943512 | − | 0.352124i | −0.902569 | − | 0.430545i | \(-0.858321\pi\) |
0.996920 | + | 0.0784215i | \(0.0249880\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | −2.62553 | + | 2.47115i | −0.728192 | + | 0.685373i | ||||
\(14\) | 1.77373 | + | 1.96313i | 0.474051 | + | 0.524668i | ||||
\(15\) | −1.06819 | − | 0.286221i | −0.275806 | − | 0.0739020i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.19466 | + | 2.06921i | −0.289747 | + | 0.501857i | −0.973749 | − | 0.227623i | \(-0.926905\pi\) |
0.684002 | + | 0.729480i | \(0.260238\pi\) | |||||||
\(18\) | −0.707107 | + | 0.707107i | −0.166667 | + | 0.166667i | ||||
\(19\) | −4.87770 | + | 1.30697i | −1.11902 | + | 0.299841i | −0.770487 | − | 0.637456i | \(-0.779987\pi\) |
−0.348533 | + | 0.937296i | \(0.613320\pi\) | |||||||
\(20\) | 0.286221 | + | 1.06819i | 0.0640010 | + | 0.238855i | ||||
\(21\) | 2.64236 | + | 0.133920i | 0.576610 | + | 0.0292238i | ||||
\(22\) | −0.604530 | + | 1.04708i | −0.128886 | + | 0.223237i | ||||
\(23\) | 5.04730 | − | 2.91406i | 1.05243 | − | 0.607623i | 0.129104 | − | 0.991631i | \(-0.458790\pi\) |
0.923330 | + | 0.384008i | \(0.125456\pi\) | |||||||
\(24\) | 0.965926 | + | 0.258819i | 0.197169 | + | 0.0528312i | ||||
\(25\) | − | 3.77704i | − | 0.755409i | ||||||
\(26\) | 3.17565 | − | 1.70741i | 0.622796 | − | 0.334850i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −1.20520 | − | 2.35531i | −0.227762 | − | 0.445112i | ||||
\(29\) | −4.18735 | − | 7.25271i | −0.777572 | − | 1.34679i | −0.933338 | − | 0.359000i | \(-0.883118\pi\) |
0.155766 | − | 0.987794i | \(-0.450216\pi\) | |||||||
\(30\) | 0.957714 | + | 0.552937i | 0.174854 | + | 0.100952i | ||||
\(31\) | −6.07089 | − | 6.07089i | −1.09036 | − | 1.09036i | −0.995489 | − | 0.0948739i | \(-0.969755\pi\) |
−0.0948739 | − | 0.995489i | \(-0.530245\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | 0.312928 | + | 1.16786i | 0.0544737 | + | 0.203299i | ||||
\(34\) | 1.68950 | − | 1.68950i | 0.289747 | − | 0.289747i | ||||
\(35\) | −0.613247 | − | 2.86088i | −0.103658 | − | 0.483576i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | −2.63773 | + | 9.84416i | −0.433641 | + | 1.61837i | 0.310657 | + | 0.950522i | \(0.399451\pi\) |
−0.744298 | + | 0.667847i | \(0.767216\pi\) | |||||||
\(38\) | 5.04976 | 0.819180 | ||||||||
\(39\) | 1.03820 | − | 3.45284i | 0.166246 | − | 0.552898i | ||||
\(40\) | − | 1.10587i | − | 0.174854i | ||||||
\(41\) | −0.0706665 | + | 0.263731i | −0.0110363 | + | 0.0411879i | −0.971224 | − | 0.238166i | \(-0.923454\pi\) |
0.960188 | + | 0.279354i | \(0.0901203\pi\) | |||||||
\(42\) | −2.51766 | − | 0.813250i | −0.388484 | − | 0.125487i | ||||
\(43\) | −9.39867 | − | 5.42633i | −1.43328 | − | 0.827507i | −0.435915 | − | 0.899988i | \(-0.643575\pi\) |
−0.997370 | + | 0.0724809i | \(0.976908\pi\) | |||||||
\(44\) | 0.854934 | − | 0.854934i | 0.128886 | − | 0.128886i | ||||
\(45\) | 1.06819 | − | 0.286221i | 0.159237 | − | 0.0426673i | ||||
\(46\) | −5.62953 | + | 1.50843i | −0.830029 | + | 0.222405i | ||||
\(47\) | −4.79531 | + | 4.79531i | −0.699467 | + | 0.699467i | −0.964296 | − | 0.264828i | \(-0.914685\pi\) |
0.264828 | + | 0.964296i | \(0.414685\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | 2.86915 | + | 6.38498i | 0.409879 | + | 0.912140i | ||||
\(50\) | −0.977571 | + | 3.64834i | −0.138249 | + | 0.515954i | ||||
\(51\) | − | 2.38932i | − | 0.334571i | ||||||
\(52\) | −3.50935 | + | 0.827311i | −0.486660 | + | 0.114727i | ||||
\(53\) | 3.52584 | 0.484311 | 0.242156 | − | 0.970237i | \(-0.422146\pi\) | ||||
0.242156 | + | 0.970237i | \(0.422146\pi\) | |||||||
\(54\) | 0.258819 | − | 0.965926i | 0.0352208 | − | 0.131446i | ||||
\(55\) | 1.15793 | − | 0.668533i | 0.156136 | − | 0.0901450i | ||||
\(56\) | 0.554536 | + | 2.58698i | 0.0741030 | + | 0.345700i | ||||
\(57\) | 3.57072 | − | 3.57072i | 0.472954 | − | 0.472954i | ||||
\(58\) | 2.16753 | + | 8.08934i | 0.284611 | + | 1.06218i | ||||
\(59\) | −2.46090 | − | 9.18419i | −0.320381 | − | 1.19568i | −0.918874 | − | 0.394551i | \(-0.870900\pi\) |
0.598492 | − | 0.801129i | \(-0.295767\pi\) | |||||||
\(60\) | −0.781970 | − | 0.781970i | −0.100952 | − | 0.100952i | ||||
\(61\) | −9.83139 | − | 5.67615i | −1.25878 | − | 0.726757i | −0.285943 | − | 0.958247i | \(-0.592307\pi\) |
−0.972837 | + | 0.231490i | \(0.925640\pi\) | |||||||
\(62\) | 4.29276 | + | 7.43529i | 0.545182 | + | 0.944282i | ||||
\(63\) | −2.35531 | + | 1.20520i | −0.296741 | + | 0.151841i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −3.98545 | − | 0.120724i | −0.494335 | − | 0.0149740i | ||||
\(66\) | − | 1.20906i | − | 0.148825i | ||||||
\(67\) | −5.76691 | − | 1.54524i | −0.704540 | − | 0.188781i | −0.111277 | − | 0.993789i | \(-0.535494\pi\) |
−0.593263 | + | 0.805009i | \(0.702161\pi\) | |||||||
\(68\) | −2.06921 | + | 1.19466i | −0.250929 | + | 0.144874i | ||||
\(69\) | −2.91406 | + | 5.04730i | −0.350811 | + | 0.607623i | ||||
\(70\) | −0.148099 | + | 2.92211i | −0.0177012 | + | 0.349260i | ||||
\(71\) | −2.24186 | − | 8.36673i | −0.266060 | − | 0.992948i | −0.961599 | − | 0.274459i | \(-0.911501\pi\) |
0.695539 | − | 0.718488i | \(-0.255166\pi\) | |||||||
\(72\) | −0.965926 | + | 0.258819i | −0.113835 | + | 0.0305021i | ||||
\(73\) | −4.16937 | + | 4.16937i | −0.487988 | + | 0.487988i | −0.907671 | − | 0.419683i | \(-0.862141\pi\) |
0.419683 | + | 0.907671i | \(0.362141\pi\) | |||||||
\(74\) | 5.09571 | − | 8.82603i | 0.592364 | − | 1.02601i | ||||
\(75\) | 1.88852 | + | 3.27102i | 0.218068 | + | 0.377704i | ||||
\(76\) | −4.87770 | − | 1.30697i | −0.559510 | − | 0.149920i | ||||
\(77\) | −2.37354 | + | 2.14455i | −0.270490 | + | 0.244394i | ||||
\(78\) | −1.89649 | + | 3.06648i | −0.214735 | + | 0.347211i | ||||
\(79\) | 7.38288 | 0.830639 | 0.415319 | − | 0.909676i | \(-0.363670\pi\) | ||||
0.415319 | + | 0.909676i | \(0.363670\pi\) | |||||||
\(80\) | −0.286221 | + | 1.06819i | −0.0320005 | + | 0.119427i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0.136517 | − | 0.236455i | 0.0150758 | − | 0.0261121i | ||||
\(83\) | 2.18308 | + | 2.18308i | 0.239624 | + | 0.239624i | 0.816695 | − | 0.577070i | \(-0.195804\pi\) |
−0.577070 | + | 0.816695i | \(0.695804\pi\) | |||||||
\(84\) | 2.22139 | + | 1.43716i | 0.242374 | + | 0.156807i | ||||
\(85\) | −2.55225 | + | 0.683873i | −0.276830 | + | 0.0741765i | ||||
\(86\) | 7.67399 | + | 7.67399i | 0.827507 | + | 0.827507i | ||||
\(87\) | 7.25271 | + | 4.18735i | 0.777572 | + | 0.448931i | ||||
\(88\) | −1.04708 | + | 0.604530i | −0.111619 | + | 0.0644431i | ||||
\(89\) | 15.1646 | + | 4.06333i | 1.60744 | + | 0.430712i | 0.947278 | − | 0.320412i | \(-0.103821\pi\) |
0.660161 | + | 0.751124i | \(0.270488\pi\) | |||||||
\(90\) | −1.10587 | −0.116569 | ||||||||
\(91\) | 9.38377 | − | 1.71608i | 0.983686 | − | 0.179894i | ||||
\(92\) | 5.82812 | 0.607623 | ||||||||
\(93\) | 8.29298 | + | 2.22210i | 0.859942 | + | 0.230421i | ||||
\(94\) | 5.87303 | − | 3.39079i | 0.605756 | − | 0.349734i | ||||
\(95\) | −4.83623 | − | 2.79220i | −0.496187 | − | 0.286474i | ||||
\(96\) | 0.707107 | + | 0.707107i | 0.0721688 | + | 0.0721688i | ||||
\(97\) | 1.77794 | − | 0.476399i | 0.180523 | − | 0.0483710i | −0.167425 | − | 0.985885i | \(-0.553545\pi\) |
0.347948 | + | 0.937514i | \(0.386879\pi\) | |||||||
\(98\) | −1.11883 | − | 6.91001i | −0.113019 | − | 0.698016i | ||||
\(99\) | −0.854934 | − | 0.854934i | −0.0859241 | − | 0.0859241i | ||||
\(100\) | 1.88852 | − | 3.27102i | 0.188852 | − | 0.327102i | ||||
\(101\) | −3.65414 | − | 6.32916i | −0.363601 | − | 0.629775i | 0.624950 | − | 0.780665i | \(-0.285119\pi\) |
−0.988551 | + | 0.150890i | \(0.951786\pi\) | |||||||
\(102\) | −0.618401 | + | 2.30790i | −0.0612308 | + | 0.228517i | ||||
\(103\) | 8.98605 | 0.885422 | 0.442711 | − | 0.896664i | \(-0.354017\pi\) | ||||
0.442711 | + | 0.896664i | \(0.354017\pi\) | |||||||
\(104\) | 3.60390 | + | 0.109166i | 0.353391 | + | 0.0107046i | ||||
\(105\) | 1.96153 | + | 2.17097i | 0.191425 | + | 0.211865i | ||||
\(106\) | −3.40570 | − | 0.912554i | −0.330791 | − | 0.0886351i | ||||
\(107\) | 6.95581 | + | 12.0478i | 0.672444 | + | 1.16471i | 0.977209 | + | 0.212280i | \(0.0680887\pi\) |
−0.304765 | + | 0.952428i | \(0.598578\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | −3.22554 | + | 3.22554i | −0.308951 | + | 0.308951i | −0.844502 | − | 0.535552i | \(-0.820104\pi\) |
0.535552 | + | 0.844502i | \(0.320104\pi\) | |||||||
\(110\) | −1.29151 | + | 0.346058i | −0.123140 | + | 0.0329954i | ||||
\(111\) | −2.63773 | − | 9.84416i | −0.250363 | − | 0.934366i | ||||
\(112\) | 0.133920 | − | 2.64236i | 0.0126543 | − | 0.249680i | ||||
\(113\) | −10.0372 | + | 17.3849i | −0.944217 | + | 1.63543i | −0.186906 | + | 0.982378i | \(0.559846\pi\) |
−0.757311 | + | 0.653054i | \(0.773487\pi\) | |||||||
\(114\) | −4.37322 | + | 2.52488i | −0.409590 | + | 0.236477i | ||||
\(115\) | 6.22554 | + | 1.66813i | 0.580535 | + | 0.155554i | ||||
\(116\) | − | 8.37471i | − | 0.777572i | ||||||
\(117\) | 0.827311 | + | 3.50935i | 0.0764849 | + | 0.324440i | ||||
\(118\) | 9.50818i | 0.875298i | ||||||||
\(119\) | 5.62759 | − | 2.87961i | 0.515880 | − | 0.263973i | ||||
\(120\) | 0.552937 | + | 0.957714i | 0.0504760 | + | 0.0874270i | ||||
\(121\) | 8.26030 | + | 4.76909i | 0.750937 | + | 0.433553i | ||||
\(122\) | 8.02729 | + | 8.02729i | 0.726757 | + | 0.726757i | ||||
\(123\) | −0.0706665 | − | 0.263731i | −0.00637179 | − | 0.0237798i | ||||
\(124\) | −2.22210 | − | 8.29298i | −0.199550 | − | 0.744732i | ||||
\(125\) | 6.86339 | − | 6.86339i | 0.613880 | − | 0.613880i | ||||
\(126\) | 2.58698 | − | 0.554536i | 0.230467 | − | 0.0494020i | ||||
\(127\) | 9.65396 | − | 5.57371i | 0.856650 | − | 0.494587i | −0.00623902 | − | 0.999981i | \(-0.501986\pi\) |
0.862889 | + | 0.505393i | \(0.168653\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | 10.8527 | 0.955523 | ||||||||
\(130\) | 3.81841 | + | 1.14812i | 0.334897 | + | 0.100697i | ||||
\(131\) | 3.86156i | 0.337386i | 0.985669 | + | 0.168693i | \(0.0539546\pi\) | ||||
−0.985669 | + | 0.168693i | \(0.946045\pi\) | |||||||
\(132\) | −0.312928 | + | 1.16786i | −0.0272369 | + | 0.101649i | ||||
\(133\) | 12.7136 | + | 4.10672i | 1.10241 | + | 0.356098i | ||||
\(134\) | 5.17047 | + | 2.98517i | 0.446660 | + | 0.257879i | ||||
\(135\) | −0.781970 | + | 0.781970i | −0.0673013 | + | 0.0673013i | ||||
\(136\) | 2.30790 | − | 0.618401i | 0.197901 | − | 0.0530275i | ||||
\(137\) | −10.7828 | + | 2.88925i | −0.921240 | + | 0.246846i | −0.688115 | − | 0.725601i | \(-0.741562\pi\) |
−0.233125 | + | 0.972447i | \(0.574895\pi\) | |||||||
\(138\) | 4.12110 | − | 4.12110i | 0.350811 | − | 0.350811i | ||||
\(139\) | −9.33502 | − | 5.38958i | −0.791786 | − | 0.457138i | 0.0488046 | − | 0.998808i | \(-0.484459\pi\) |
−0.840591 | + | 0.541670i | \(0.817792\pi\) | |||||||
\(140\) | 0.899351 | − | 2.78422i | 0.0760091 | − | 0.235309i | ||||
\(141\) | 1.75520 | − | 6.55051i | 0.147815 | − | 0.551652i | ||||
\(142\) | 8.66187i | 0.726888i | ||||||||
\(143\) | 2.06436 | + | 3.83955i | 0.172630 | + | 0.321079i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 2.39702 | − | 8.94579i | 0.199061 | − | 0.742907i | ||||
\(146\) | 5.10642 | − | 2.94819i | 0.422610 | − | 0.243994i | ||||
\(147\) | −5.67725 | − | 4.09498i | −0.468252 | − | 0.337748i | ||||
\(148\) | −7.20642 | + | 7.20642i | −0.592364 | + | 0.592364i | ||||
\(149\) | 5.97456 | + | 22.2974i | 0.489455 | + | 1.82667i | 0.559101 | + | 0.829100i | \(0.311147\pi\) |
−0.0696456 | + | 0.997572i | \(0.522187\pi\) | |||||||
\(150\) | −0.977571 | − | 3.64834i | −0.0798183 | − | 0.297886i | ||||
\(151\) | 2.31792 | + | 2.31792i | 0.188629 | + | 0.188629i | 0.795103 | − | 0.606474i | \(-0.207417\pi\) |
−0.606474 | + | 0.795103i | \(0.707417\pi\) | |||||||
\(152\) | 4.37322 | + | 2.52488i | 0.354715 | + | 0.204795i | ||||
\(153\) | 1.19466 | + | 2.06921i | 0.0965825 | + | 0.167286i | ||||
\(154\) | 2.84771 | − | 1.45716i | 0.229475 | − | 0.117421i | ||||
\(155\) | − | 9.49451i | − | 0.762617i | ||||||
\(156\) | 2.62553 | − | 2.47115i | 0.210211 | − | 0.197850i | ||||
\(157\) | 2.78978i | 0.222648i | 0.993784 | + | 0.111324i | \(0.0355092\pi\) | ||||
−0.993784 | + | 0.111324i | \(0.964491\pi\) | |||||||
\(158\) | −7.13131 | − | 1.91083i | −0.567337 | − | 0.152017i | ||||
\(159\) | −3.05347 | + | 1.76292i | −0.242156 | + | 0.139809i | ||||
\(160\) | 0.552937 | − | 0.957714i | 0.0437135 | − | 0.0757140i | ||||
\(161\) | −15.4000 | − | 0.780502i | −1.21369 | − | 0.0615122i | ||||
\(162\) | 0.258819 | + | 0.965926i | 0.0203347 | + | 0.0758903i | ||||
\(163\) | −10.9557 | + | 2.93557i | −0.858116 | + | 0.229931i | −0.660942 | − | 0.750437i | \(-0.729843\pi\) |
−0.197174 | + | 0.980369i | \(0.563176\pi\) | |||||||
\(164\) | −0.193065 | + | 0.193065i | −0.0150758 | + | 0.0150758i | ||||
\(165\) | −0.668533 | + | 1.15793i | −0.0520452 | + | 0.0901450i | ||||
\(166\) | −1.54367 | − | 2.67372i | −0.119812 | − | 0.207521i | ||||
\(167\) | −5.05024 | − | 1.35321i | −0.390799 | − | 0.104714i | 0.0580684 | − | 0.998313i | \(-0.481506\pi\) |
−0.448868 | + | 0.893598i | \(0.648173\pi\) | |||||||
\(168\) | −1.77373 | − | 1.96313i | −0.136847 | − | 0.151458i | ||||
\(169\) | 0.786849 | − | 12.9762i | 0.0605268 | − | 0.998167i | ||||
\(170\) | 2.64228 | 0.202654 | ||||||||
\(171\) | −1.30697 | + | 4.87770i | −0.0999469 | + | 0.373007i | ||||
\(172\) | −5.42633 | − | 9.39867i | −0.413754 | − | 0.716642i | ||||
\(173\) | 7.54949 | − | 13.0761i | 0.573977 | − | 0.994157i | −0.422175 | − | 0.906514i | \(-0.638733\pi\) |
0.996152 | − | 0.0876430i | \(-0.0279335\pi\) | |||||||
\(174\) | −5.92181 | − | 5.92181i | −0.448931 | − | 0.448931i | ||||
\(175\) | −5.42821 | + | 8.39029i | −0.410334 | + | 0.634246i | ||||
\(176\) | 1.16786 | − | 0.312928i | 0.0880309 | − | 0.0235878i | ||||
\(177\) | 6.72330 | + | 6.72330i | 0.505354 | + | 0.505354i | ||||
\(178\) | −13.5962 | − | 7.84975i | −1.01908 | − | 0.588364i | ||||
\(179\) | 1.52673 | − | 0.881456i | 0.114113 | − | 0.0658831i | −0.441857 | − | 0.897085i | \(-0.645680\pi\) |
0.555970 | + | 0.831202i | \(0.312347\pi\) | |||||||
\(180\) | 1.06819 | + | 0.286221i | 0.0796183 | + | 0.0213337i | ||||
\(181\) | 23.7089 | 1.76227 | 0.881136 | − | 0.472863i | \(-0.156780\pi\) | ||||
0.881136 | + | 0.472863i | \(0.156780\pi\) | |||||||
\(182\) | −9.50818 | − | 0.771091i | −0.704793 | − | 0.0571571i | ||||
\(183\) | 11.3523 | 0.839187 | ||||||||
\(184\) | −5.62953 | − | 1.50843i | −0.415014 | − | 0.111203i | ||||
\(185\) | −9.76047 | + | 5.63521i | −0.717604 | + | 0.414309i | ||||
\(186\) | −7.43529 | − | 4.29276i | −0.545182 | − | 0.314761i | ||||
\(187\) | 2.04271 | + | 2.04271i | 0.149378 | + | 0.149378i | ||||
\(188\) | −6.55051 | + | 1.75520i | −0.477745 | + | 0.128011i | ||||
\(189\) | 1.43716 | − | 2.22139i | 0.104538 | − | 0.161582i | ||||
\(190\) | 3.94877 | + | 3.94877i | 0.286474 | + | 0.286474i | ||||
\(191\) | −1.51664 | + | 2.62689i | −0.109740 | + | 0.190075i | −0.915665 | − | 0.401943i | \(-0.868335\pi\) |
0.805925 | + | 0.592018i | \(0.201668\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | 2.86384 | − | 10.6880i | 0.206144 | − | 0.769338i | −0.782954 | − | 0.622079i | \(-0.786288\pi\) |
0.989098 | − | 0.147259i | \(-0.0470451\pi\) | |||||||
\(194\) | −1.84066 | −0.132152 | ||||||||
\(195\) | 3.51187 | − | 1.88818i | 0.251490 | − | 0.135215i | ||||
\(196\) | −0.707730 | + | 6.96413i | −0.0505521 | + | 0.497438i | ||||
\(197\) | −19.3179 | − | 5.17622i | −1.37634 | − | 0.368790i | −0.506552 | − | 0.862210i | \(-0.669080\pi\) |
−0.869792 | + | 0.493419i | \(0.835747\pi\) | |||||||
\(198\) | 0.604530 | + | 1.04708i | 0.0429621 | + | 0.0744125i | ||||
\(199\) | −3.74351 | + | 6.48394i | −0.265370 | + | 0.459635i | −0.967661 | − | 0.252256i | \(-0.918827\pi\) |
0.702290 | + | 0.711891i | \(0.252161\pi\) | |||||||
\(200\) | −2.67077 | + | 2.67077i | −0.188852 | + | 0.188852i | ||||
\(201\) | 5.76691 | − | 1.54524i | 0.406766 | − | 0.108993i | ||||
\(202\) | 1.89152 | + | 7.05926i | 0.133087 | + | 0.496688i | ||||
\(203\) | −1.12154 | + | 22.1290i | −0.0787168 | + | 1.55315i | ||||
\(204\) | 1.19466 | − | 2.06921i | 0.0836429 | − | 0.144874i | ||||
\(205\) | −0.261489 | + | 0.150971i | −0.0182632 | + | 0.0105443i | ||||
\(206\) | −8.67986 | − | 2.32576i | −0.604754 | − | 0.162043i | ||||
\(207\) | − | 5.82812i | − | 0.405082i | ||||||
\(208\) | −3.45284 | − | 1.03820i | −0.239412 | − | 0.0719865i | ||||
\(209\) | 6.10546i | 0.422324i | ||||||||
\(210\) | −1.33280 | − | 2.60468i | −0.0919720 | − | 0.179740i | ||||
\(211\) | 6.85324 | + | 11.8702i | 0.471797 | + | 0.817176i | 0.999479 | − | 0.0322660i | \(-0.0102724\pi\) |
−0.527683 | + | 0.849442i | \(0.676939\pi\) | |||||||
\(212\) | 3.05347 | + | 1.76292i | 0.209713 | + | 0.121078i | ||||
\(213\) | 6.12487 | + | 6.12487i | 0.419669 | + | 0.419669i | ||||
\(214\) | −3.60059 | − | 13.4376i | −0.246132 | − | 0.918576i | ||||
\(215\) | −3.10626 | − | 11.5927i | −0.211845 | − | 0.790616i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | 4.76099 | + | 22.2106i | 0.323197 | + | 1.50776i | ||||
\(218\) | 3.95046 | − | 2.28080i | 0.267559 | − | 0.154475i | ||||
\(219\) | 1.52610 | − | 5.69547i | 0.103124 | − | 0.384864i | ||||
\(220\) | 1.33707 | 0.0901450 | ||||||||
\(221\) | −1.97671 | − | 8.38496i | −0.132968 | − | 0.564033i | ||||
\(222\) | 10.1914i | 0.684003i | ||||||||
\(223\) | 0.473727 | − | 1.76797i | 0.0317231 | − | 0.118392i | −0.948249 | − | 0.317529i | \(-0.897147\pi\) |
0.979972 | + | 0.199136i | \(0.0638137\pi\) | |||||||
\(224\) | −0.813250 | + | 2.51766i | −0.0543375 | + | 0.168218i | ||||
\(225\) | −3.27102 | − | 1.88852i | −0.218068 | − | 0.125901i | ||||
\(226\) | 14.1947 | − | 14.1947i | 0.944217 | − | 0.944217i | ||||
\(227\) | 7.87073 | − | 2.10896i | 0.522399 | − | 0.139976i | 0.0120228 | − | 0.999928i | \(-0.496173\pi\) |
0.510376 | + | 0.859951i | \(0.329506\pi\) | |||||||
\(228\) | 4.87770 | − | 1.30697i | 0.323033 | − | 0.0865565i | ||||
\(229\) | −15.5142 | + | 15.5142i | −1.02521 | + | 1.02521i | −0.0255355 | + | 0.999674i | \(0.508129\pi\) |
−0.999674 | + | 0.0255355i | \(0.991871\pi\) | |||||||
\(230\) | −5.58167 | − | 3.22258i | −0.368044 | − | 0.212491i | ||||
\(231\) | 0.983268 | − | 3.04400i | 0.0646943 | − | 0.200281i | ||||
\(232\) | −2.16753 | + | 8.08934i | −0.142306 | + | 0.531091i | ||||
\(233\) | − | 22.9719i | − | 1.50494i | −0.658628 | − | 0.752469i | \(-0.728863\pi\) | ||
0.658628 | − | 0.752469i | \(-0.271137\pi\) | |||||||
\(234\) | 0.109166 | − | 3.60390i | 0.00713643 | − | 0.235594i | ||||
\(235\) | −7.49958 | −0.489218 | ||||||||
\(236\) | 2.46090 | − | 9.18419i | 0.160191 | − | 0.597840i | ||||
\(237\) | −6.39376 | + | 3.69144i | −0.415319 | + | 0.239785i | ||||
\(238\) | −6.18113 | + | 1.32496i | −0.400663 | + | 0.0858846i | ||||
\(239\) | 6.51113 | − | 6.51113i | 0.421170 | − | 0.421170i | −0.464436 | − | 0.885606i | \(-0.653743\pi\) |
0.885606 | + | 0.464436i | \(0.153743\pi\) | |||||||
\(240\) | −0.286221 | − | 1.06819i | −0.0184755 | − | 0.0689515i | ||||
\(241\) | 2.09265 | + | 7.80988i | 0.134800 | + | 0.503079i | 0.999999 | + | 0.00165034i | \(0.000525320\pi\) |
−0.865199 | + | 0.501429i | \(0.832808\pi\) | |||||||
\(242\) | −6.74451 | − | 6.74451i | −0.433553 | − | 0.433553i | ||||
\(243\) | 0.866025 | + | 0.500000i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | −5.67615 | − | 9.83139i | −0.363379 | − | 0.629390i | ||||
\(245\) | −2.74927 | + | 7.23646i | −0.175645 | + | 0.462320i | ||||
\(246\) | 0.273034i | 0.0174080i | ||||||||
\(247\) | 9.57682 | − | 15.4850i | 0.609359 | − | 0.985288i | ||||
\(248\) | 8.58553i | 0.545182i | ||||||||
\(249\) | −2.98215 | − | 0.799063i | −0.188986 | − | 0.0506386i | ||||
\(250\) | −8.40590 | + | 4.85315i | −0.531636 | + | 0.306940i | ||||
\(251\) | −0.625511 | + | 1.08342i | −0.0394819 | + | 0.0683847i | −0.885091 | − | 0.465418i | \(-0.845904\pi\) |
0.845609 | + | 0.533802i | \(0.179237\pi\) | |||||||
\(252\) | −2.64236 | − | 0.133920i | −0.166453 | − | 0.00843617i | ||||
\(253\) | −1.82378 | − | 6.80643i | −0.114660 | − | 0.427917i | ||||
\(254\) | −10.7676 | + | 2.88517i | −0.675619 | + | 0.181031i | ||||
\(255\) | 1.86838 | − | 1.86838i | 0.117002 | − | 0.117002i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 6.98041 | + | 12.0904i | 0.435426 | + | 0.754180i | 0.997330 | − | 0.0730222i | \(-0.0232644\pi\) |
−0.561904 | + | 0.827202i | \(0.689931\pi\) | |||||||
\(258\) | −10.4829 | − | 2.80887i | −0.652634 | − | 0.174873i | ||||
\(259\) | 20.0070 | − | 18.0769i | 1.24318 | − | 1.12324i | ||||
\(260\) | −3.39114 | − | 2.09728i | −0.210310 | − | 0.130068i | ||||
\(261\) | −8.37471 | −0.518381 | ||||||||
\(262\) | 0.999445 | − | 3.72998i | 0.0617459 | − | 0.230439i | ||||
\(263\) | 4.41208 | + | 7.64194i | 0.272060 | + | 0.471222i | 0.969389 | − | 0.245529i | \(-0.0789616\pi\) |
−0.697329 | + | 0.716751i | \(0.745628\pi\) | |||||||
\(264\) | 0.604530 | − | 1.04708i | 0.0372062 | − | 0.0644431i | ||||
\(265\) | 2.75710 | + | 2.75710i | 0.169367 | + | 0.169367i | ||||
\(266\) | −11.2175 | − | 7.25731i | −0.687789 | − | 0.444974i | ||||
\(267\) | −15.1646 | + | 4.06333i | −0.928056 | + | 0.248672i | ||||
\(268\) | −4.22167 | − | 4.22167i | −0.257879 | − | 0.257879i | ||||
\(269\) | −4.96802 | − | 2.86829i | −0.302906 | − | 0.174883i | 0.340842 | − | 0.940121i | \(-0.389288\pi\) |
−0.643747 | + | 0.765238i | \(0.722621\pi\) | |||||||
\(270\) | 0.957714 | − | 0.552937i | 0.0582846 | − | 0.0336507i | ||||
\(271\) | −24.3208 | − | 6.51674i | −1.47738 | − | 0.395864i | −0.571928 | − | 0.820304i | \(-0.693804\pi\) |
−0.905456 | + | 0.424440i | \(0.860471\pi\) | |||||||
\(272\) | −2.38932 | −0.144874 | ||||||||
\(273\) | −7.26854 | + | 6.17805i | −0.439912 | + | 0.373913i | ||||
\(274\) | 11.1632 | 0.674395 | ||||||||
\(275\) | −4.41107 | − | 1.18194i | −0.265997 | − | 0.0712738i | ||||
\(276\) | −5.04730 | + | 2.91406i | −0.303812 | + | 0.175406i | ||||
\(277\) | −12.7981 | − | 7.38897i | −0.768962 | − | 0.443960i | 0.0635422 | − | 0.997979i | \(-0.479760\pi\) |
−0.832504 | + | 0.554019i | \(0.813094\pi\) | |||||||
\(278\) | 7.62202 | + | 7.62202i | 0.457138 | + | 0.457138i | ||||
\(279\) | −8.29298 | + | 2.22210i | −0.496488 | + | 0.133034i | ||||
\(280\) | −1.58931 | + | 2.45658i | −0.0949797 | + | 0.146809i | ||||
\(281\) | 10.3251 | + | 10.3251i | 0.615941 | + | 0.615941i | 0.944488 | − | 0.328547i | \(-0.106559\pi\) |
−0.328547 | + | 0.944488i | \(0.606559\pi\) | |||||||
\(282\) | −3.39079 | + | 5.87303i | −0.201919 | + | 0.349734i | ||||
\(283\) | −3.04731 | − | 5.27810i | −0.181144 | − | 0.313750i | 0.761127 | − | 0.648603i | \(-0.224647\pi\) |
−0.942270 | + | 0.334853i | \(0.891313\pi\) | |||||||
\(284\) | 2.24186 | − | 8.36673i | 0.133030 | − | 0.496474i | ||||
\(285\) | 5.58440 | 0.330791 | ||||||||
\(286\) | −1.00027 | − | 4.24302i | −0.0591471 | − | 0.250895i | ||||
\(287\) | 0.536001 | − | 0.484291i | 0.0316391 | − | 0.0285868i | ||||
\(288\) | −0.965926 | − | 0.258819i | −0.0569177 | − | 0.0152511i | ||||
\(289\) | 5.64558 | + | 9.77843i | 0.332093 | + | 0.575202i | ||||
\(290\) | −4.63068 | + | 8.02058i | −0.271923 | + | 0.470984i | ||||
\(291\) | −1.30155 | + | 1.30155i | −0.0762980 | + | 0.0762980i | ||||
\(292\) | −5.69547 | + | 1.52610i | −0.333302 | + | 0.0893081i | ||||
\(293\) | −8.55998 | − | 31.9463i | −0.500079 | − | 1.86632i | −0.499487 | − | 0.866321i | \(-0.666478\pi\) |
−0.000592145 | − | 1.00000i | \(-0.500188\pi\) | |||||||
\(294\) | 4.42394 | + | 5.42482i | 0.258010 | + | 0.316382i | ||||
\(295\) | 5.25742 | − | 9.10612i | 0.306099 | − | 0.530179i | ||||
\(296\) | 8.82603 | − | 5.09571i | 0.513003 | − | 0.296182i | ||||
\(297\) | 1.16786 | + | 0.312928i | 0.0677662 | + | 0.0181579i | ||||
\(298\) | − | 23.0839i | − | 1.33722i | ||||||
\(299\) | −6.05077 | + | 20.1236i | −0.349925 | + | 1.16378i | ||||
\(300\) | 3.77704i | 0.218068i | ||||||||
\(301\) | 13.0796 | + | 25.5614i | 0.753898 | + | 1.47333i | ||||
\(302\) | −1.63902 | − | 2.83886i | −0.0943147 | − | 0.163358i | ||||
\(303\) | 6.32916 | + | 3.65414i | 0.363601 | + | 0.209925i | ||||
\(304\) | −3.57072 | − | 3.57072i | −0.204795 | − | 0.204795i | ||||
\(305\) | −3.24927 | − | 12.1264i | −0.186053 | − | 0.694358i | ||||
\(306\) | −0.618401 | − | 2.30790i | −0.0353516 | − | 0.131934i | ||||
\(307\) | −13.1561 | + | 13.1561i | −0.750860 | + | 0.750860i | −0.974640 | − | 0.223779i | \(-0.928160\pi\) |
0.223779 | + | 0.974640i | \(0.428160\pi\) | |||||||
\(308\) | −3.12782 | + | 0.670467i | −0.178224 | + | 0.0382034i | ||||
\(309\) | −7.78215 | + | 4.49303i | −0.442711 | + | 0.255599i | ||||
\(310\) | −2.45736 | + | 9.17099i | −0.139569 | + | 0.520877i | ||||
\(311\) | −24.1181 | −1.36761 | −0.683806 | − | 0.729664i | \(-0.739676\pi\) | ||||
−0.683806 | + | 0.729664i | \(0.739676\pi\) | |||||||
\(312\) | −3.17565 | + | 1.70741i | −0.179786 | + | 0.0966630i | ||||
\(313\) | 0.653940i | 0.0369629i | 0.999829 | + | 0.0184814i | \(0.00588316\pi\) | ||||
−0.999829 | + | 0.0184814i | \(0.994117\pi\) | |||||||
\(314\) | 0.722048 | − | 2.69472i | 0.0407475 | − | 0.152072i | ||||
\(315\) | −2.78422 | − | 0.899351i | −0.156873 | − | 0.0506727i | ||||
\(316\) | 6.39376 | + | 3.69144i | 0.359677 | + | 0.207660i | ||||
\(317\) | −16.2853 | + | 16.2853i | −0.914672 | + | 0.914672i | −0.996635 | − | 0.0819636i | \(-0.973881\pi\) |
0.0819636 | + | 0.996635i | \(0.473881\pi\) | |||||||
\(318\) | 3.40570 | − | 0.912554i | 0.190982 | − | 0.0511735i | ||||
\(319\) | −9.78050 | + | 2.62068i | −0.547603 | + | 0.146730i | ||||
\(320\) | −0.781970 | + | 0.781970i | −0.0437135 | + | 0.0437135i | ||||
\(321\) | −12.0478 | − | 6.95581i | −0.672444 | − | 0.388236i | ||||
\(322\) | 14.6732 | + | 4.73971i | 0.817707 | + | 0.264134i | ||||
\(323\) | 3.12278 | − | 11.6544i | 0.173756 | − | 0.648466i | ||||
\(324\) | − | 1.00000i | − | 0.0555556i | ||||||
\(325\) | 9.33364 | + | 9.91676i | 0.517737 | + | 0.550083i | ||||
\(326\) | 11.3422 | 0.628184 | ||||||||
\(327\) | 1.18063 | − | 4.40617i | 0.0652890 | − | 0.243662i | ||||
\(328\) | 0.236455 | − | 0.136517i | 0.0130560 | − | 0.00753790i | ||||
\(329\) | 17.5439 | − | 3.76064i | 0.967224 | − | 0.207331i | ||||
\(330\) | 0.945449 | − | 0.945449i | 0.0520452 | − | 0.0520452i | ||||
\(331\) | −3.68510 | − | 13.7530i | −0.202551 | − | 0.755931i | −0.990182 | − | 0.139784i | \(-0.955359\pi\) |
0.787631 | − | 0.616147i | \(-0.211307\pi\) | |||||||
\(332\) | 0.799063 | + | 2.98215i | 0.0438543 | + | 0.163666i | ||||
\(333\) | 7.20642 | + | 7.20642i | 0.394910 | + | 0.394910i | ||||
\(334\) | 4.52792 | + | 2.61420i | 0.247757 | + | 0.143042i | ||||
\(335\) | −3.30122 | − | 5.71788i | −0.180365 | − | 0.312401i | ||||
\(336\) | 1.20520 | + | 2.35531i | 0.0657491 | + | 0.128493i | ||||
\(337\) | − | 7.20150i | − | 0.392290i | −0.980575 | − | 0.196145i | \(-0.937158\pi\) | ||
0.980575 | − | 0.196145i | \(-0.0628424\pi\) | |||||||
\(338\) | −4.11852 | + | 12.3304i | −0.224018 | + | 0.670683i | ||||
\(339\) | − | 20.0743i | − | 1.09029i | ||||||
\(340\) | −2.55225 | − | 0.683873i | −0.138415 | − | 0.0370882i | ||||
\(341\) | −8.98970 | + | 5.19021i | −0.486820 | + | 0.281065i | ||||
\(342\) | 2.52488 | − | 4.37322i | 0.136530 | − | 0.236477i | ||||
\(343\) | 2.80271 | − | 18.3070i | 0.151332 | − | 0.988483i | ||||
\(344\) | 2.80887 | + | 10.4829i | 0.151444 | + | 0.565198i | ||||
\(345\) | −6.22554 | + | 1.66813i | −0.335172 | + | 0.0898091i | ||||
\(346\) | −10.6766 | + | 10.6766i | −0.573977 | + | 0.573977i | ||||
\(347\) | −11.9217 | + | 20.6491i | −0.639993 | + | 1.10850i | 0.345441 | + | 0.938440i | \(0.387729\pi\) |
−0.985434 | + | 0.170059i | \(0.945604\pi\) | |||||||
\(348\) | 4.18735 | + | 7.25271i | 0.224466 | + | 0.388786i | ||||
\(349\) | 24.0068 | + | 6.43260i | 1.28505 | + | 0.344329i | 0.835780 | − | 0.549064i | \(-0.185016\pi\) |
0.449275 | + | 0.893394i | \(0.351682\pi\) | |||||||
\(350\) | 7.41482 | − | 6.69947i | 0.396339 | − | 0.358102i | ||||
\(351\) | −2.47115 | − | 2.62553i | −0.131900 | − | 0.140141i | ||||
\(352\) | −1.20906 | −0.0644431 | ||||||||
\(353\) | 7.04325 | − | 26.2858i | 0.374874 | − | 1.39905i | −0.478654 | − | 0.878004i | \(-0.658875\pi\) |
0.853528 | − | 0.521047i | \(-0.174458\pi\) | |||||||
\(354\) | −4.75409 | − | 8.23432i | −0.252677 | − | 0.437649i | ||||
\(355\) | 4.78947 | − | 8.29560i | 0.254198 | − | 0.440285i | ||||
\(356\) | 11.1012 | + | 11.1012i | 0.588364 | + | 0.588364i | ||||
\(357\) | −3.43383 | + | 5.30761i | −0.181737 | + | 0.280908i | ||||
\(358\) | −1.70284 | + | 0.456275i | −0.0899980 | + | 0.0241149i | ||||
\(359\) | −10.9412 | − | 10.9412i | −0.577455 | − | 0.577455i | 0.356747 | − | 0.934201i | \(-0.383886\pi\) |
−0.934201 | + | 0.356747i | \(0.883886\pi\) | |||||||
\(360\) | −0.957714 | − | 0.552937i | −0.0504760 | − | 0.0291423i | ||||
\(361\) | 5.62926 | − | 3.25005i | 0.296277 | − | 0.171055i | ||||
\(362\) | −22.9011 | − | 6.13632i | −1.20365 | − | 0.322518i | ||||
\(363\) | −9.53818 | −0.500624 | ||||||||
\(364\) | 8.98462 | + | 3.20571i | 0.470922 | + | 0.168025i | ||||
\(365\) | −6.52066 | −0.341307 | ||||||||
\(366\) | −10.9655 | − | 2.93819i | −0.573175 | − | 0.153582i | ||||
\(367\) | 18.7743 | − | 10.8394i | 0.980012 | − | 0.565810i | 0.0777381 | − | 0.996974i | \(-0.475230\pi\) |
0.902274 | + | 0.431164i | \(0.141897\pi\) | |||||||
\(368\) | 5.04730 | + | 2.91406i | 0.263108 | + | 0.151906i | ||||
\(369\) | 0.193065 | + | 0.193065i | 0.0100505 | + | 0.0100505i | ||||
\(370\) | 10.8864 | − | 2.91700i | 0.565956 | − | 0.151648i | ||||
\(371\) | −7.83227 | − | 5.06719i | −0.406631 | − | 0.263075i | ||||
\(372\) | 6.07089 | + | 6.07089i | 0.314761 | + | 0.314761i | ||||
\(373\) | 3.42220 | − | 5.92742i | 0.177195 | − | 0.306910i | −0.763724 | − | 0.645543i | \(-0.776631\pi\) |
0.940919 | + | 0.338633i | \(0.109964\pi\) | |||||||
\(374\) | −1.44441 | − | 2.50180i | −0.0746889 | − | 0.129365i | ||||
\(375\) | −2.51217 | + | 9.37556i | −0.129728 | + | 0.484152i | ||||
\(376\) | 6.78159 | 0.349734 | ||||||||
\(377\) | 28.9166 | + | 8.69465i | 1.48928 | + | 0.447797i | ||||
\(378\) | −1.96313 | + | 1.77373i | −0.100972 | + | 0.0912311i | ||||
\(379\) | −13.6802 | − | 3.66560i | −0.702704 | − | 0.188289i | −0.110263 | − | 0.993902i | \(-0.535169\pi\) |
−0.592442 | + | 0.805613i | \(0.701836\pi\) | |||||||
\(380\) | −2.79220 | − | 4.83623i | −0.143237 | − | 0.248093i | ||||
\(381\) | −5.57371 | + | 9.65396i | −0.285550 | + | 0.494587i | ||||
\(382\) | 2.14485 | − | 2.14485i | 0.109740 | − | 0.109740i | ||||
\(383\) | 6.45564 | − | 1.72978i | 0.329868 | − | 0.0883879i | −0.0900840 | − | 0.995934i | \(-0.528714\pi\) |
0.419952 | + | 0.907546i | \(0.362047\pi\) | |||||||
\(384\) | 0.258819 | + | 0.965926i | 0.0132078 | + | 0.0492922i | ||||
\(385\) | −3.53301 | − | 0.179060i | −0.180059 | − | 0.00912575i | ||||
\(386\) | −5.53251 | + | 9.58259i | −0.281597 | + | 0.487741i | ||||
\(387\) | −9.39867 | + | 5.42633i | −0.477761 | + | 0.275836i | ||||
\(388\) | 1.77794 | + | 0.476399i | 0.0902615 | + | 0.0241855i | ||||
\(389\) | − | 14.5487i | − | 0.737648i | −0.929499 | − | 0.368824i | \(-0.879760\pi\) | ||
0.929499 | − | 0.368824i | \(-0.120240\pi\) | |||||||
\(390\) | −3.88090 | + | 0.914901i | −0.196517 | + | 0.0463278i | ||||
\(391\) | 13.9252i | 0.704229i | ||||||||
\(392\) | 2.48606 | − | 6.54366i | 0.125565 | − | 0.330505i | ||||
\(393\) | −1.93078 | − | 3.34421i | −0.0973950 | − | 0.168693i | ||||
\(394\) | 17.3200 | + | 9.99968i | 0.872567 | + | 0.503777i | ||||
\(395\) | 5.77319 | + | 5.77319i | 0.290481 | + | 0.290481i | ||||
\(396\) | −0.312928 | − | 1.16786i | −0.0157252 | − | 0.0586873i | ||||
\(397\) | −2.27144 | − | 8.47714i | −0.114000 | − | 0.425455i | 0.885210 | − | 0.465192i | \(-0.154015\pi\) |
−0.999210 | + | 0.0397367i | \(0.987348\pi\) | |||||||
\(398\) | 5.29412 | − | 5.29412i | 0.265370 | − | 0.265370i | ||||
\(399\) | −13.0637 | + | 2.80028i | −0.654001 | + | 0.140189i | ||||
\(400\) | 3.27102 | − | 1.88852i | 0.163551 | − | 0.0944261i | ||||
\(401\) | 3.76070 | − | 14.0351i | 0.187801 | − | 0.700881i | −0.806213 | − | 0.591625i | \(-0.798487\pi\) |
0.994014 | − | 0.109256i | \(-0.0348468\pi\) | |||||||
\(402\) | −5.97034 | −0.297774 | ||||||||
\(403\) | 30.9414 | + | 0.937251i | 1.54130 | + | 0.0466878i | ||||
\(404\) | − | 7.30828i | − | 0.363601i | ||||||
\(405\) | 0.286221 | − | 1.06819i | 0.0142224 | − | 0.0530789i | ||||
\(406\) | 6.81073 | − | 21.0847i | 0.338011 | − | 1.04642i | ||||
\(407\) | 10.6712 | + | 6.16102i | 0.528951 | + | 0.305390i | ||||
\(408\) | −1.68950 | + | 1.68950i | −0.0836429 | + | 0.0836429i | ||||
\(409\) | 12.4960 | − | 3.34829i | 0.617887 | − | 0.165562i | 0.0637202 | − | 0.997968i | \(-0.479703\pi\) |
0.554167 | + | 0.832405i | \(0.313037\pi\) | |||||||
\(410\) | 0.291653 | − | 0.0781482i | 0.0144037 | − | 0.00385946i | ||||
\(411\) | 7.89359 | − | 7.89359i | 0.389362 | − | 0.389362i | ||||
\(412\) | 7.78215 | + | 4.49303i | 0.383399 | + | 0.221355i | ||||
\(413\) | −7.73252 | + | 23.9384i | −0.380493 | + | 1.17793i | ||||
\(414\) | −1.50843 | + | 5.62953i | −0.0741352 | + | 0.276676i | ||||
\(415\) | 3.41421i | 0.167597i | ||||||||
\(416\) | 3.06648 | + | 1.89649i | 0.150347 | + | 0.0929831i | ||||
\(417\) | 10.7792 | 0.527858 | ||||||||
\(418\) | 1.58021 | − | 5.89743i | 0.0772906 | − | 0.288453i | ||||
\(419\) | −5.77665 | + | 3.33515i | −0.282208 | + | 0.162933i | −0.634423 | − | 0.772986i | \(-0.718762\pi\) |
0.352215 | + | 0.935919i | \(0.385429\pi\) | |||||||
\(420\) | 0.613247 | + | 2.86088i | 0.0299234 | + | 0.139597i | ||||
\(421\) | 9.25192 | − | 9.25192i | 0.450911 | − | 0.450911i | −0.444746 | − | 0.895657i | \(-0.646706\pi\) |
0.895657 | + | 0.444746i | \(0.146706\pi\) | |||||||
\(422\) | −3.54750 | − | 13.2394i | −0.172690 | − | 0.644486i | ||||
\(423\) | 1.75520 | + | 6.55051i | 0.0853409 | + | 0.318497i | ||||
\(424\) | −2.49314 | − | 2.49314i | −0.121078 | − | 0.121078i | ||||
\(425\) | 7.81550 | + | 4.51228i | 0.379107 | + | 0.218878i | ||||
\(426\) | −4.33094 | − | 7.50140i | −0.209835 | − | 0.363444i | ||||
\(427\) | 13.6818 | + | 26.7382i | 0.662110 | + | 1.29395i | ||||
\(428\) | 13.9116i | 0.672444i | ||||||||
\(429\) | −3.70756 | − | 2.29297i | −0.179003 | − | 0.110706i | ||||
\(430\) | 12.0017i | 0.578771i | ||||||||
\(431\) | −0.548540 | − | 0.146981i | −0.0264222 | − | 0.00707981i | 0.245584 | − | 0.969375i | \(-0.421020\pi\) |
−0.272006 | + | 0.962296i | \(0.587687\pi\) | |||||||
\(432\) | −0.866025 | + | 0.500000i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | 0.449881 | − | 0.779216i | 0.0216199 | − | 0.0374467i | −0.855013 | − | 0.518607i | \(-0.826451\pi\) |
0.876633 | + | 0.481160i | \(0.159784\pi\) | |||||||
\(434\) | 1.14977 | − | 22.6861i | 0.0551910 | − | 1.08897i | ||||
\(435\) | 2.39702 | + | 8.94579i | 0.114928 | + | 0.428918i | ||||
\(436\) | −4.40617 | + | 1.18063i | −0.211017 | + | 0.0565419i | ||||
\(437\) | −20.8106 | + | 20.8106i | −0.995505 | + | 0.995505i | ||||
\(438\) | −2.94819 | + | 5.10642i | −0.140870 | + | 0.243994i | ||||
\(439\) | −16.5233 | − | 28.6192i | −0.788613 | − | 1.36592i | −0.926817 | − | 0.375514i | \(-0.877466\pi\) |
0.138203 | − | 0.990404i | \(-0.455867\pi\) | |||||||
\(440\) | −1.29151 | − | 0.346058i | −0.0615702 | − | 0.0164977i | ||||
\(441\) | 6.96413 | + | 0.707730i | 0.331625 | + | 0.0337014i | ||||
\(442\) | −0.260833 | + | 8.61086i | −0.0124066 | + | 0.409577i | ||||
\(443\) | 7.24534 | 0.344237 | 0.172118 | − | 0.985076i | \(-0.444939\pi\) | ||||
0.172118 | + | 0.985076i | \(0.444939\pi\) | |||||||
\(444\) | 2.63773 | − | 9.84416i | 0.125181 | − | 0.467183i | ||||
\(445\) | 8.68083 | + | 15.0356i | 0.411511 | + | 0.712758i | ||||
\(446\) | −0.915170 | + | 1.58512i | −0.0433345 | + | 0.0750576i | ||||
\(447\) | −16.3228 | − | 16.3228i | −0.772042 | − | 0.772042i | ||||
\(448\) | 1.43716 | − | 2.22139i | 0.0678993 | − | 0.104951i | ||||
\(449\) | 11.8519 | − | 3.17571i | 0.559327 | − | 0.149871i | 0.0319296 | − | 0.999490i | \(-0.489835\pi\) |
0.527397 | + | 0.849619i | \(0.323168\pi\) | |||||||
\(450\) | 2.67077 | + | 2.67077i | 0.125901 | + | 0.125901i | ||||
\(451\) | 0.285888 | + | 0.165057i | 0.0134619 | + | 0.00777225i | ||||
\(452\) | −17.3849 | + | 10.0372i | −0.817716 | + | 0.472109i | ||||
\(453\) | −3.16633 | − | 0.848417i | −0.148767 | − | 0.0398621i | ||||
\(454\) | −8.14838 | −0.382422 | ||||||||
\(455\) | 8.67975 | + | 5.99590i | 0.406913 | + | 0.281092i | ||||
\(456\) | −5.04976 | −0.236477 | ||||||||
\(457\) | −31.9182 | − | 8.55245i | −1.49307 | − | 0.400067i | −0.582298 | − | 0.812976i | \(-0.697846\pi\) |
−0.910772 | + | 0.412909i | \(0.864513\pi\) | |||||||
\(458\) | 19.0010 | − | 10.9702i | 0.887857 | − | 0.512605i | ||||
\(459\) | −2.06921 | − | 1.19466i | −0.0965825 | − | 0.0557619i | ||||
\(460\) | 4.55741 | + | 4.55741i | 0.212491 | + | 0.212491i | ||||
\(461\) | 7.33403 | − | 1.96515i | 0.341580 | − | 0.0915261i | −0.0839511 | − | 0.996470i | \(-0.526754\pi\) |
0.425531 | + | 0.904944i | \(0.360087\pi\) | |||||||
\(462\) | −1.73761 | + | 2.68579i | −0.0808409 | + | 0.124954i | ||||
\(463\) | −5.06087 | − | 5.06087i | −0.235198 | − | 0.235198i | 0.579660 | − | 0.814858i | \(-0.303185\pi\) |
−0.814858 | + | 0.579660i | \(0.803185\pi\) | |||||||
\(464\) | 4.18735 | − | 7.25271i | 0.194393 | − | 0.336699i | ||||
\(465\) | 4.74725 | + | 8.22248i | 0.220149 | + | 0.381309i | ||||
\(466\) | −5.94556 | + | 22.1891i | −0.275423 | + | 1.02789i | ||||
\(467\) | 39.0856 | 1.80866 | 0.904332 | − | 0.426829i | \(-0.140369\pi\) | ||||
0.904332 | + | 0.426829i | \(0.140369\pi\) | |||||||
\(468\) | −1.03820 | + | 3.45284i | −0.0479910 | + | 0.159608i | ||||
\(469\) | 10.5898 | + | 11.7205i | 0.488992 | + | 0.541204i | ||||
\(470\) | 7.24403 | + | 1.94103i | 0.334142 | + | 0.0895332i | ||||
\(471\) | −1.39489 | − | 2.41602i | −0.0642731 | − | 0.111324i | ||||
\(472\) | −4.75409 | + | 8.23432i | −0.218825 | + | 0.379015i | ||||
\(473\) | −9.27831 | + | 9.27831i | −0.426617 | + | 0.426617i | ||||
\(474\) | 7.13131 | − | 1.91083i | 0.327552 | − | 0.0877673i | ||||
\(475\) | 4.93650 | + | 18.4233i | 0.226502 | + | 0.845318i | ||||
\(476\) | 6.31344 | + | 0.319978i | 0.289376 | + | 0.0146662i | ||||
\(477\) | 1.76292 | − | 3.05347i | 0.0807185 | − | 0.139809i | ||||
\(478\) | −7.97447 | + | 4.60406i | −0.364744 | + | 0.210585i | ||||
\(479\) | −14.9831 | − | 4.01471i | −0.684595 | − | 0.183437i | −0.100274 | − | 0.994960i | \(-0.531972\pi\) |
−0.584320 | + | 0.811523i | \(0.698639\pi\) | |||||||
\(480\) | 1.10587i | 0.0504760i | ||||||||
\(481\) | −17.4009 | − | 32.3644i | −0.793413 | − | 1.47569i | ||||
\(482\) | − | 8.08539i | − | 0.368279i | ||||||
\(483\) | 13.7270 | − | 7.02405i | 0.624601 | − | 0.319606i | ||||
\(484\) | 4.76909 | + | 8.26030i | 0.216777 | + | 0.375468i | ||||
\(485\) | 1.76283 | + | 1.01777i | 0.0800460 | + | 0.0462146i | ||||
\(486\) | −0.707107 | − | 0.707107i | −0.0320750 | − | 0.0320750i | ||||
\(487\) | 1.27050 | + | 4.74157i | 0.0575718 | + | 0.214861i | 0.988719 | − | 0.149783i | \(-0.0478574\pi\) |
−0.931147 | + | 0.364644i | \(0.881191\pi\) | |||||||
\(488\) | 2.93819 | + | 10.9655i | 0.133006 | + | 0.496384i | ||||
\(489\) | 8.02012 | − | 8.02012i | 0.362682 | − | 0.362682i | ||||
\(490\) | 4.52853 | − | 6.27832i | 0.204578 | − | 0.283625i | ||||
\(491\) | 11.4684 | − | 6.62129i | 0.517562 | − | 0.298815i | −0.218374 | − | 0.975865i | \(-0.570075\pi\) |
0.735937 | + | 0.677050i | \(0.236742\pi\) | |||||||
\(492\) | 0.0706665 | − | 0.263731i | 0.00318589 | − | 0.0118899i | ||||
\(493\) | 20.0098 | 0.901198 | ||||||||
\(494\) | −13.2583 | + | 12.4787i | −0.596520 | + | 0.561444i | ||||
\(495\) | − | 1.33707i | − | 0.0600967i | ||||||
\(496\) | 2.22210 | − | 8.29298i | 0.0997752 | − | 0.372366i | ||||
\(497\) | −7.04427 | + | 21.8077i | −0.315979 | + | 0.978208i | ||||
\(498\) | 2.67372 | + | 1.54367i | 0.119812 | + | 0.0691736i | ||||
\(499\) | 3.07331 | − | 3.07331i | 0.137580 | − | 0.137580i | −0.634963 | − | 0.772543i | \(-0.718985\pi\) |
0.772543 | + | 0.634963i | \(0.218985\pi\) | |||||||
\(500\) | 9.37556 | − | 2.51217i | 0.419288 | − | 0.112348i | ||||
\(501\) | 5.05024 | − | 1.35321i | 0.225628 | − | 0.0604568i | ||||
\(502\) | 0.884607 | − | 0.884607i | 0.0394819 | − | 0.0394819i | ||||
\(503\) | 3.00987 | + | 1.73775i | 0.134203 | + | 0.0774824i | 0.565599 | − | 0.824681i | \(-0.308645\pi\) |
−0.431395 | + | 0.902163i | \(0.641979\pi\) | |||||||
\(504\) | 2.51766 | + | 0.813250i | 0.112146 | + | 0.0362250i | ||||
\(505\) | 2.09178 | − | 7.80664i | 0.0930832 | − | 0.347391i | ||||
\(506\) | 7.04654i | 0.313257i | ||||||||
\(507\) | 5.80665 | + | 11.6311i | 0.257882 | + | 0.516556i | ||||
\(508\) | 11.1474 | 0.494587 | ||||||||
\(509\) | 4.49134 | − | 16.7619i | 0.199075 | − | 0.742958i | −0.792099 | − | 0.610392i | \(-0.791012\pi\) |
0.991174 | − | 0.132566i | \(-0.0423216\pi\) | |||||||
\(510\) | −2.28828 | + | 1.32114i | −0.101327 | + | 0.0585011i | ||||
\(511\) | 15.2539 | − | 3.26976i | 0.674791 | − | 0.144646i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −1.30697 | − | 4.87770i | −0.0577043 | − | 0.215356i | ||||
\(514\) | −3.61333 | − | 13.4851i | −0.159377 | − | 0.594803i | ||||
\(515\) | 7.02683 | + | 7.02683i | 0.309639 | + | 0.309639i | ||||
\(516\) | 9.39867 | + | 5.42633i | 0.413754 | + | 0.238881i | ||||
\(517\) | 4.09967 | + | 7.10084i | 0.180303 | + | 0.312295i | ||||
\(518\) | −24.0040 | + | 12.2827i | −1.05467 | + | 0.539672i | ||||
\(519\) | 15.0990i | 0.662772i | ||||||||
\(520\) | 2.73278 | + | 2.90351i | 0.119840 | + | 0.127327i | ||||
\(521\) | − | 30.4244i | − | 1.33292i | −0.745542 | − | 0.666458i | \(-0.767810\pi\) | ||
0.745542 | − | 0.666458i | \(-0.232190\pi\) | |||||||
\(522\) | 8.08934 | + | 2.16753i | 0.354061 | + | 0.0948704i | ||||
\(523\) | −33.0212 | + | 19.0648i | −1.44391 | + | 0.833644i | −0.998108 | − | 0.0614851i | \(-0.980416\pi\) |
−0.445806 | + | 0.895129i | \(0.647083\pi\) | |||||||
\(524\) | −1.93078 | + | 3.34421i | −0.0843465 | + | 0.146092i | ||||
\(525\) | 0.505822 | − | 9.98031i | 0.0220759 | − | 0.435576i | ||||
\(526\) | −2.28386 | − | 8.52348i | −0.0995810 | − | 0.371641i | ||||
\(527\) | 19.8146 | − | 5.30930i | 0.863137 | − | 0.231277i | ||||
\(528\) | −0.854934 | + | 0.854934i | −0.0372062 | + | 0.0372062i | ||||
\(529\) | 5.48347 | − | 9.49764i | 0.238412 | − | 0.412941i | ||||
\(530\) | −1.94957 | − | 3.37675i | −0.0846837 | − | 0.146677i | ||||
\(531\) | −9.18419 | − | 2.46090i | −0.398560 | − | 0.106794i | ||||
\(532\) | 8.95694 | + | 9.91332i | 0.388333 | + | 0.429797i | ||||
\(533\) | −0.466181 | − | 0.867062i | −0.0201926 | − | 0.0375566i | ||||
\(534\) | 15.6995 | 0.679384 | ||||||||
\(535\) | −3.98180 | + | 14.8603i | −0.172148 | + | 0.642466i | ||||
\(536\) | 2.98517 | + | 5.17047i | 0.128940 | + | 0.223330i | ||||
\(537\) | −0.881456 | + | 1.52673i | −0.0380376 | + | 0.0658831i | ||||
\(538\) | 4.05637 | + | 4.05637i | 0.174883 | + | 0.174883i | ||||
\(539\) | 8.35461 | − | 1.35274i | 0.359859 | − | 0.0582665i | ||||
\(540\) | −1.06819 | + | 0.286221i | −0.0459676 | + | 0.0123170i | ||||
\(541\) | 9.06066 | + | 9.06066i | 0.389548 | + | 0.389548i | 0.874526 | − | 0.484978i | \(-0.161172\pi\) |
−0.484978 | + | 0.874526i | \(0.661172\pi\) | |||||||
\(542\) | 21.8054 | + | 12.5894i | 0.936624 | + | 0.540760i | ||||
\(543\) | −20.5325 | + | 11.8545i | −0.881136 | + | 0.508724i | ||||
\(544\) | 2.30790 | + | 0.618401i | 0.0989506 | + | 0.0265137i | ||||
\(545\) | −5.04455 | −0.216085 | ||||||||
\(546\) | 8.61987 | − | 4.08630i | 0.368896 | − | 0.174878i | ||||
\(547\) | −31.9488 | −1.36603 | −0.683017 | − | 0.730403i | \(-0.739332\pi\) | ||||
−0.683017 | + | 0.730403i | \(0.739332\pi\) | |||||||
\(548\) | −10.7828 | − | 2.88925i | −0.460620 | − | 0.123423i | ||||
\(549\) | −9.83139 | + | 5.67615i | −0.419593 | + | 0.242252i | ||||
\(550\) | 3.95485 | + | 2.28334i | 0.168636 | + | 0.0973618i | ||||
\(551\) | 29.9037 | + | 29.9037i | 1.27394 | + | 1.27394i | ||||
\(552\) | 5.62953 | − | 1.50843i | 0.239609 | − | 0.0642029i | ||||
\(553\) | −16.4003 | − | 10.6104i | −0.697410 | − | 0.451199i | ||||
\(554\) | 10.4496 | + | 10.4496i | 0.443960 | + | 0.443960i | ||||
\(555\) | 5.63521 | − | 9.76047i | 0.239201 | − | 0.414309i | ||||
\(556\) | −5.38958 | − | 9.33502i | −0.228569 | − | 0.395893i | ||||
\(557\) | 1.51254 | − | 5.64488i | 0.0640884 | − | 0.239181i | −0.926450 | − | 0.376418i | \(-0.877156\pi\) |
0.990538 | + | 0.137237i | \(0.0438222\pi\) | |||||||
\(558\) | 8.58553 | 0.363454 | ||||||||
\(559\) | 38.0858 | − | 8.97852i | 1.61086 | − | 0.379751i | ||||
\(560\) | 2.17097 | − | 1.96153i | 0.0917402 | − | 0.0828896i | ||||
\(561\) | −2.79039 | − | 0.747684i | −0.117811 | − | 0.0315672i | ||||
\(562\) | −7.30091 | − | 12.6456i | −0.307970 | − | 0.533420i | ||||
\(563\) | −6.13173 | + | 10.6205i | −0.258421 | + | 0.447599i | −0.965819 | − | 0.259217i | \(-0.916536\pi\) |
0.707398 | + | 0.706816i | \(0.249869\pi\) | |||||||
\(564\) | 4.79531 | − | 4.79531i | 0.201919 | − | 0.201919i | ||||
\(565\) | −21.4432 | + | 5.74570i | −0.902124 | + | 0.241723i | ||||
\(566\) | 1.57740 | + | 5.88695i | 0.0663032 | + | 0.247447i | ||||
\(567\) | −0.133920 | + | 2.64236i | −0.00562411 | + | 0.110969i | ||||
\(568\) | −4.33094 | + | 7.50140i | −0.181722 | + | 0.314752i | ||||
\(569\) | −10.3741 | + | 5.98948i | −0.434904 | + | 0.251092i | −0.701434 | − | 0.712735i | \(-0.747456\pi\) |
0.266529 | + | 0.963827i | \(0.414123\pi\) | |||||||
\(570\) | −5.39411 | − | 1.44535i | −0.225935 | − | 0.0605390i | ||||
\(571\) | 33.0802i | 1.38436i | 0.721723 | + | 0.692182i | \(0.243350\pi\) | ||||
−0.721723 | + | 0.692182i | \(0.756650\pi\) | |||||||
\(572\) | −0.131989 | + | 4.35733i | −0.00551872 | + | 0.182189i | ||||
\(573\) | − | 3.03327i | − | 0.126717i | ||||||
\(574\) | −0.643081 | + | 0.329062i | −0.0268417 | + | 0.0137348i | ||||
\(575\) | −11.0065 | − | 19.0639i | −0.459004 | − | 0.795018i | ||||
\(576\) | 0.866025 | + | 0.500000i | 0.0360844 | + | 0.0208333i | ||||
\(577\) | −12.2625 | − | 12.2625i | −0.510495 | − | 0.510495i | 0.404183 | − | 0.914678i | \(-0.367556\pi\) |
−0.914678 | + | 0.404183i | \(0.867556\pi\) | |||||||
\(578\) | −2.92237 | − | 10.9064i | −0.121554 | − | 0.453647i | ||||
\(579\) | 2.86384 | + | 10.6880i | 0.119017 | + | 0.444178i | ||||
\(580\) | 6.54877 | − | 6.54877i | 0.271923 | − | 0.271923i | ||||
\(581\) | −1.71204 | − | 7.98691i | −0.0710276 | − | 0.331353i | ||||
\(582\) | 1.59406 | − | 0.920332i | 0.0660760 | − | 0.0381490i | ||||
\(583\) | 1.10333 | − | 4.11769i | 0.0456954 | − | 0.170537i | ||||
\(584\) | 5.89639 | 0.243994 | ||||||||
\(585\) | −2.09728 | + | 3.39114i | −0.0867118 | + | 0.140207i | ||||
\(586\) | 33.0732i | 1.36624i | ||||||||
\(587\) | −10.1586 | + | 37.9123i | −0.419289 | + | 1.56481i | 0.356796 | + | 0.934182i | \(0.383869\pi\) |
−0.776086 | + | 0.630627i | \(0.782798\pi\) | |||||||
\(588\) | −2.86915 | − | 6.38498i | −0.118322 | − | 0.263312i | ||||
\(589\) | 37.5464 | + | 21.6774i | 1.54707 | + | 0.893203i | ||||
\(590\) | −7.43511 | + | 7.43511i | −0.306099 | + | 0.306099i | ||||
\(591\) | 19.3179 | − | 5.17622i | 0.794632 | − | 0.212921i | ||||
\(592\) | −9.84416 | + | 2.63773i | −0.404592 | + | 0.108410i | ||||
\(593\) | 2.17721 | − | 2.17721i | 0.0894075 | − | 0.0894075i | −0.660989 | − | 0.750396i | \(-0.729863\pi\) |
0.750396 | + | 0.660989i | \(0.229863\pi\) | |||||||
\(594\) | −1.04708 | − | 0.604530i | −0.0429621 | − | 0.0248042i | ||||
\(595\) | 6.65238 | + | 2.14884i | 0.272721 | + | 0.0880937i | ||||
\(596\) | −5.97456 | + | 22.2974i | −0.244728 | + | 0.913336i | ||||
\(597\) | − | 7.48701i | − | 0.306423i | ||||||
\(598\) | 11.0530 | − | 17.8718i | 0.451989 | − | 0.730833i | ||||
\(599\) | 22.6747 | 0.926462 | 0.463231 | − | 0.886238i | \(-0.346690\pi\) | ||||
0.463231 | + | 0.886238i | \(0.346690\pi\) | |||||||
\(600\) | 0.977571 | − | 3.64834i | 0.0399092 | − | 0.148943i | ||||
\(601\) | −8.67955 | + | 5.01114i | −0.354046 | + | 0.204409i | −0.666466 | − | 0.745535i | \(-0.732194\pi\) |
0.312420 | + | 0.949944i | \(0.398860\pi\) | |||||||
\(602\) | −6.01819 | − | 28.0757i | −0.245283 | − | 1.14428i | ||||
\(603\) | −4.22167 | + | 4.22167i | −0.171920 | + | 0.171920i | ||||
\(604\) | 0.848417 | + | 3.16633i | 0.0345216 | + | 0.128836i | ||||
\(605\) | 2.73003 | + | 10.1886i | 0.110991 | + | 0.414225i | ||||
\(606\) | −5.16773 | − | 5.16773i | −0.209925 | − | 0.209925i | ||||
\(607\) | −9.83901 | − | 5.68056i | −0.399353 | − | 0.230567i | 0.286852 | − | 0.957975i | \(-0.407391\pi\) |
−0.686205 | + | 0.727408i | \(0.740725\pi\) | |||||||
\(608\) | 2.52488 | + | 4.37322i | 0.102397 | + | 0.177358i | ||||
\(609\) | −10.0932 | − | 19.7250i | −0.408997 | − | 0.799299i | ||||
\(610\) | 12.5542i | 0.508305i | ||||||||
\(611\) | 0.740321 | − | 24.4401i | 0.0299502 | − | 0.988743i | ||||
\(612\) | 2.38932i | 0.0965825i | ||||||||
\(613\) | 27.6878 | + | 7.41894i | 1.11830 | + | 0.299648i | 0.770196 | − | 0.637807i | \(-0.220158\pi\) |
0.348106 | + | 0.937455i | \(0.386825\pi\) | |||||||
\(614\) | 16.1129 | − | 9.30279i | 0.650264 | − | 0.375430i | ||||
\(615\) | 0.150971 | − | 0.261489i | 0.00608773 | − | 0.0105443i | ||||
\(616\) | 3.19477 | + | 0.161917i | 0.128721 | + | 0.00652384i | ||||
\(617\) | −5.37234 | − | 20.0498i | −0.216282 | − | 0.807176i | −0.985711 | − | 0.168444i | \(-0.946126\pi\) |
0.769429 | − | 0.638732i | \(-0.220541\pi\) | |||||||
\(618\) | 8.67986 | − | 2.32576i | 0.349155 | − | 0.0935558i | ||||
\(619\) | −14.9807 | + | 14.9807i | −0.602125 | + | 0.602125i | −0.940876 | − | 0.338751i | \(-0.889996\pi\) |
0.338751 | + | 0.940876i | \(0.389996\pi\) | |||||||
\(620\) | 4.74725 | − | 8.22248i | 0.190654 | − | 0.330223i | ||||
\(621\) | 2.91406 | + | 5.04730i | 0.116937 | + | 0.202541i | ||||
\(622\) | 23.2963 | + | 6.24222i | 0.934096 | + | 0.250290i | ||||
\(623\) | −27.8468 | − | 30.8201i | −1.11566 | − | 1.23478i | ||||
\(624\) | 3.50935 | − | 0.827311i | 0.140487 | − | 0.0331189i | ||||
\(625\) | −8.15129 | −0.326051 | ||||||||
\(626\) | 0.169252 | − | 0.631657i | 0.00676467 | − | 0.0252461i | ||||
\(627\) | −3.05273 | − | 5.28749i | −0.121914 | − | 0.211162i | ||||
\(628\) | −1.39489 | + | 2.41602i | −0.0556621 | + | 0.0964096i | ||||
\(629\) | −17.2184 | − | 17.2184i | −0.686544 | − | 0.686544i | ||||
\(630\) | 2.45658 | + | 1.58931i | 0.0978724 | + | 0.0633198i | ||||
\(631\) | −26.9457 | + | 7.22008i | −1.07269 | + | 0.287427i | −0.751598 | − | 0.659621i | \(-0.770717\pi\) |
−0.321093 | + | 0.947048i | \(0.604050\pi\) | |||||||
\(632\) | −5.22048 | − | 5.22048i | −0.207660 | − | 0.207660i | ||||
\(633\) | −11.8702 | − | 6.85324i | −0.471797 | − | 0.272392i | ||||
\(634\) | 19.9453 | − | 11.5154i | 0.792129 | − | 0.457336i | ||||
\(635\) | 11.9076 | + | 3.19063i | 0.472538 | + | 0.126616i | ||||
\(636\) | −3.52584 | −0.139809 | ||||||||
\(637\) | −23.3113 | − | 9.67387i | −0.923627 | − | 0.383293i | ||||
\(638\) | 10.1255 | 0.400873 | ||||||||
\(639\) | −8.36673 | − | 2.24186i | −0.330983 | − | 0.0886865i | ||||
\(640\) | 0.957714 | − | 0.552937i | 0.0378570 | − | 0.0218567i | ||||
\(641\) | 32.8941 | + | 18.9914i | 1.29924 | + | 0.750117i | 0.980273 | − | 0.197649i | \(-0.0633305\pi\) |
0.318968 | + | 0.947766i | \(0.396664\pi\) | |||||||
\(642\) | 9.83701 | + | 9.83701i | 0.388236 | + | 0.388236i | ||||
\(643\) | 7.84802 | − | 2.10287i | 0.309496 | − | 0.0829292i | −0.100728 | − | 0.994914i | \(-0.532117\pi\) |
0.410224 | + | 0.911985i | \(0.365451\pi\) | |||||||
\(644\) | −12.9465 | − | 8.37592i | −0.510164 | − | 0.330058i | ||||
\(645\) | 8.48646 | + | 8.48646i | 0.334154 | + | 0.334154i | ||||
\(646\) | −6.03275 | + | 10.4490i | −0.237355 | + | 0.411111i | ||||
\(647\) | −12.0787 | − | 20.9209i | −0.474863 | − | 0.822487i | 0.524722 | − | 0.851273i | \(-0.324169\pi\) |
−0.999586 | + | 0.0287863i | \(0.990836\pi\) | |||||||
\(648\) | −0.258819 | + | 0.965926i | −0.0101674 | + | 0.0379452i | ||||
\(649\) | −11.4959 | −0.451255 | ||||||||
\(650\) | −6.44896 | − | 11.9946i | −0.252949 | − | 0.470466i | ||||
\(651\) | −15.2285 | − | 16.8545i | −0.596850 | − | 0.660579i | ||||
\(652\) | −10.9557 | − | 2.93557i | −0.429058 | − | 0.114966i | ||||
\(653\) | −8.38354 | − | 14.5207i | −0.328073 | − | 0.568240i | 0.654056 | − | 0.756446i | \(-0.273066\pi\) |
−0.982129 | + | 0.188206i | \(0.939733\pi\) | |||||||
\(654\) | −2.28080 | + | 3.95046i | −0.0891864 | + | 0.154475i | ||||
\(655\) | −3.01963 | + | 3.01963i | −0.117987 | + | 0.117987i | ||||
\(656\) | −0.263731 | + | 0.0706665i | −0.0102970 | + | 0.00275906i | ||||
\(657\) | 1.52610 | + | 5.69547i | 0.0595387 | + | 0.222201i | ||||
\(658\) | −17.9194 | − | 0.908191i | −0.698571 | − | 0.0354050i | ||||
\(659\) | −14.4094 | + | 24.9579i | −0.561312 | + | 0.972221i | 0.436070 | + | 0.899913i | \(0.356370\pi\) |
−0.997382 | + | 0.0723085i | \(0.976963\pi\) | |||||||
\(660\) | −1.15793 | + | 0.668533i | −0.0450725 | + | 0.0260226i | ||||
\(661\) | −13.0128 | − | 3.48676i | −0.506138 | − | 0.135619i | −0.00329085 | − | 0.999995i | \(-0.501048\pi\) |
−0.502847 | + | 0.864375i | \(0.667714\pi\) | |||||||
\(662\) | 14.2381i | 0.553380i | ||||||||
\(663\) | 5.90436 | + | 6.27323i | 0.229306 | + | 0.243632i | ||||
\(664\) | − | 3.08734i | − | 0.119812i | ||||||
\(665\) | 6.73033 | + | 13.1530i | 0.260991 | + | 0.510051i | ||||
\(666\) | −5.09571 | − | 8.82603i | −0.197455 | − | 0.342002i | ||||
\(667\) | −42.2696 | − | 24.4044i | −1.63669 | − | 0.944941i | ||||
\(668\) | −3.69703 | − | 3.69703i | −0.143042 | − | 0.143042i | ||||
\(669\) | 0.473727 | + | 1.76797i | 0.0183153 | + | 0.0683537i | ||||
\(670\) | 1.70884 | + | 6.37747i | 0.0660182 | + | 0.246383i | ||||
\(671\) | −9.70548 | + | 9.70548i | −0.374676 | + | 0.374676i | ||||
\(672\) | −0.554536 | − | 2.58698i | −0.0213917 | − | 0.0997951i | ||||
\(673\) | 7.61373 | − | 4.39579i | 0.293488 | − | 0.169445i | −0.346026 | − | 0.938225i | \(-0.612469\pi\) |
0.639514 | + | 0.768780i | \(0.279136\pi\) | |||||||
\(674\) | −1.86388 | + | 6.95611i | −0.0717941 | + | 0.267939i | ||||
\(675\) | 3.77704 | 0.145379 | ||||||||
\(676\) | 7.16951 | − | 10.8443i | 0.275751 | − | 0.417087i | ||||
\(677\) | 30.0874i | 1.15635i | 0.815912 | + | 0.578176i | \(0.196235\pi\) | ||||
−0.815912 | + | 0.578176i | \(0.803765\pi\) | |||||||
\(678\) | −5.19562 | + | 19.3903i | −0.199537 | + | 0.744681i | ||||
\(679\) | −4.63417 | − | 1.49692i | −0.177843 | − | 0.0574465i | ||||
\(680\) | 2.28828 | + | 1.32114i | 0.0877517 | + | 0.0506635i | ||||
\(681\) | −5.76177 | + | 5.76177i | −0.220792 | + | 0.220792i | ||||
\(682\) | 10.0267 | − | 2.68665i | 0.383943 | − | 0.102877i | ||||
\(683\) | 5.94428 | − | 1.59276i | 0.227451 | − | 0.0609454i | −0.143293 | − | 0.989680i | \(-0.545769\pi\) |
0.370745 | + | 0.928735i | \(0.379103\pi\) | |||||||
\(684\) | −3.57072 | + | 3.57072i | −0.136530 | + | 0.136530i | ||||
\(685\) | −10.6912 | − | 6.17255i | −0.408489 | − | 0.235841i | ||||
\(686\) | −7.44540 | + | 16.9578i | −0.284267 | + | 0.647451i | ||||
\(687\) | 5.67860 | − | 21.1928i | 0.216652 | − | 0.808557i | ||||
\(688\) | − | 10.8527i | − | 0.413754i | ||||||
\(689\) | −9.25721 | + | 8.71287i | −0.352672 | + | 0.331934i | ||||
\(690\) | 6.44516 | 0.245363 | ||||||||
\(691\) | 8.79499 | − | 32.8233i | 0.334577 | − | 1.24866i | −0.569750 | − | 0.821818i | \(-0.692960\pi\) |
0.904327 | − | 0.426841i | \(-0.140373\pi\) | |||||||
\(692\) | 13.0761 | − | 7.54949i | 0.497079 | − | 0.286988i | ||||
\(693\) | 0.670467 | + | 3.12782i | 0.0254689 | + | 0.118816i | ||||
\(694\) | 16.8599 | − | 16.8599i | 0.639993 | − | 0.639993i | ||||
\(695\) | −3.08522 | − | 11.5142i | −0.117029 | − | 0.436759i | ||||
\(696\) | −2.16753 | − | 8.08934i | −0.0821601 | − | 0.306626i | ||||
\(697\) | −0.461293 | − | 0.461293i | −0.0174727 | − | 0.0174727i | ||||
\(698\) | −21.5239 | − | 12.4268i | −0.814692 | − | 0.470363i | ||||
\(699\) | 11.4859 | + | 19.8942i | 0.434438 | + | 0.752469i | ||||
\(700\) | −8.89611 | + | 4.55210i | −0.336241 | + | 0.172053i | ||||
\(701\) | − | 37.8085i | − | 1.42801i | −0.700142 | − | 0.714004i | \(-0.746880\pi\) | ||
0.700142 | − | 0.714004i | \(-0.253120\pi\) | |||||||
\(702\) | 1.70741 | + | 3.17565i | 0.0644420 | + | 0.119857i | ||||
\(703\) | − | 51.4643i | − | 1.94101i | ||||||
\(704\) | 1.16786 | + | 0.312928i | 0.0440154 | + | 0.0117939i | ||||
\(705\) | 6.49482 | − | 3.74979i | 0.244609 | − | 0.141225i | ||||
\(706\) | −13.6065 | + | 23.5672i | −0.512088 | + | 0.886962i | ||||
\(707\) | −0.978726 | + | 19.3111i | −0.0368088 | + | 0.726269i | ||||
\(708\) | 2.46090 | + | 9.18419i | 0.0924862 | + | 0.345163i | ||||
\(709\) | −21.8936 | + | 5.86637i | −0.822231 | + | 0.220316i | −0.645321 | − | 0.763911i | \(-0.723277\pi\) |
−0.176909 | + | 0.984227i | \(0.556610\pi\) | |||||||
\(710\) | −6.77333 | + | 6.77333i | −0.254198 | + | 0.254198i | ||||
\(711\) | 3.69144 | − | 6.39376i | 0.138440 | − | 0.239785i | ||||
\(712\) | −7.84975 | − | 13.5962i | −0.294182 | − | 0.509538i | ||||
\(713\) | −48.3325 | − | 12.9506i | −1.81007 | − | 0.485005i | ||||
\(714\) | 4.69053 | − | 4.23802i | 0.175539 | − | 0.158604i | ||||
\(715\) | −1.38815 | + | 4.61668i | −0.0519138 | + | 0.172654i | ||||
\(716\) | 1.76291 | 0.0658831 | ||||||||
\(717\) | −2.38324 | + | 8.89437i | −0.0890037 | + | 0.332166i | ||||
\(718\) | 7.73660 | + | 13.4002i | 0.288727 | + | 0.500090i | ||||
\(719\) | 15.9710 | − | 27.6626i | 0.595618 | − | 1.03164i | −0.397842 | − | 0.917454i | \(-0.630241\pi\) |
0.993459 | − | 0.114186i | \(-0.0364261\pi\) | |||||||
\(720\) | 0.781970 | + | 0.781970i | 0.0291423 | + | 0.0291423i | ||||
\(721\) | −19.9615 | − | 12.9144i | −0.743406 | − | 0.480956i | ||||
\(722\) | −6.27862 | + | 1.68235i | −0.233666 | + | 0.0626106i | ||||
\(723\) | −5.71723 | − | 5.71723i | −0.212626 | − | 0.212626i | ||||
\(724\) | 20.5325 | + | 11.8545i | 0.763086 | + | 0.440568i | ||||
\(725\) | −27.3938 | + | 15.8158i | −1.01738 | + | 0.587385i | ||||
\(726\) | 9.21317 | + | 2.46866i | 0.341933 | + | 0.0916206i | ||||
\(727\) | 1.41270 | 0.0523943 | 0.0261971 | − | 0.999657i | \(-0.491660\pi\) | ||||
0.0261971 | + | 0.999657i | \(0.491660\pi\) | |||||||
\(728\) | −7.84878 | − | 5.42187i | −0.290895 | − | 0.200948i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 6.29847 | + | 1.68767i | 0.233117 | + | 0.0624635i | ||||
\(731\) | 22.4564 | − | 12.9652i | 0.830581 | − | 0.479536i | ||||
\(732\) | 9.83139 | + | 5.67615i | 0.363379 | + | 0.209797i | ||||
\(733\) | −28.1696 | − | 28.1696i | −1.04047 | − | 1.04047i | −0.999146 | − | 0.0413211i | \(-0.986843\pi\) |
−0.0413211 | − | 0.999146i | \(-0.513157\pi\) | |||||||
\(734\) | −20.9400 | + | 5.61087i | −0.772911 | + | 0.207101i | ||||
\(735\) | −1.23729 | − | 7.64159i | −0.0456381 | − | 0.281864i | ||||
\(736\) | −4.12110 | − | 4.12110i | −0.151906 | − | 0.151906i | ||||
\(737\) | −3.60925 | + | 6.25140i | −0.132948 | + | 0.230273i | ||||
\(738\) | −0.136517 | − | 0.236455i | −0.00502527 | − | 0.00870402i | ||||
\(739\) | −8.26449 | + | 30.8435i | −0.304014 | + | 1.13460i | 0.629777 | + | 0.776776i | \(0.283146\pi\) |
−0.933791 | + | 0.357820i | \(0.883520\pi\) | |||||||
\(740\) | −11.2704 | −0.414309 | ||||||||
\(741\) | −0.551264 | + | 18.1988i | −0.0202512 | + | 0.668551i | ||||
\(742\) | 6.25390 | + | 6.92167i | 0.229588 | + | 0.254102i | ||||
\(743\) | 33.6460 | + | 9.01542i | 1.23435 | + | 0.330744i | 0.816273 | − | 0.577667i | \(-0.196037\pi\) |
0.418079 | + | 0.908411i | \(0.362703\pi\) | |||||||
\(744\) | −4.29276 | − | 7.43529i | −0.157380 | − | 0.272591i | ||||
\(745\) | −12.7640 | + | 22.1078i | −0.467635 | + | 0.809968i | ||||
\(746\) | −4.83972 | + | 4.83972i | −0.177195 | + | 0.177195i | ||||
\(747\) | 2.98215 | − | 0.799063i | 0.109111 | − | 0.0292362i | ||||
\(748\) | 0.747684 | + | 2.79039i | 0.0273380 | + | 0.102027i | ||||
\(749\) | 1.86305 | − | 36.7595i | 0.0680742 | − | 1.34316i | ||||
\(750\) | 4.85315 | − | 8.40590i | 0.177212 | − | 0.306940i | ||||
\(751\) | 8.98109 | − | 5.18524i | 0.327725 | − | 0.189212i | −0.327106 | − | 0.944988i | \(-0.606073\pi\) |
0.654831 | + | 0.755776i | \(0.272740\pi\) | |||||||
\(752\) | −6.55051 | − | 1.75520i | −0.238873 | − | 0.0640057i | ||||
\(753\) | − | 1.25102i | − | 0.0455898i | ||||||
\(754\) | −25.6809 | − | 15.8825i | −0.935243 | − | 0.578408i | ||||
\(755\) | 3.62509i | 0.131930i | ||||||||
\(756\) | 2.35531 | − | 1.20520i | 0.0856618 | − | 0.0438328i | ||||
\(757\) | −0.746201 | − | 1.29246i | −0.0271211 | − | 0.0469752i | 0.852146 | − | 0.523304i | \(-0.175301\pi\) |
−0.879267 | + | 0.476328i | \(0.841967\pi\) | |||||||
\(758\) | 12.2653 | + | 7.08139i | 0.445497 | + | 0.257208i | ||||
\(759\) | 4.98266 | + | 4.98266i | 0.180859 | + | 0.180859i | ||||
\(760\) | 1.44535 | + | 5.39411i | 0.0524283 | + | 0.195665i | ||||
\(761\) | 4.16868 | + | 15.5577i | 0.151115 | + | 0.563967i | 0.999407 | + | 0.0344388i | \(0.0109644\pi\) |
−0.848292 | + | 0.529528i | \(0.822369\pi\) | |||||||
\(762\) | 7.88242 | − | 7.88242i | 0.285550 | − | 0.285550i | ||||
\(763\) | 11.8008 | − | 2.52957i | 0.427217 | − | 0.0915767i | ||||
\(764\) | −2.62689 | + | 1.51664i | −0.0950376 | + | 0.0548700i | ||||
\(765\) | −0.683873 | + | 2.55225i | −0.0247255 | + | 0.0922768i | ||||
\(766\) | −6.68337 | −0.241480 | ||||||||
\(767\) | 29.1567 | + | 18.0322i | 1.05279 | + | 0.651104i | ||||
\(768\) | − | 1.00000i | − | 0.0360844i | ||||||
\(769\) | −3.65824 | + | 13.6528i | −0.131920 | + | 0.492331i | −0.999992 | − | 0.00410760i | \(-0.998693\pi\) |
0.868072 | + | 0.496438i | \(0.165359\pi\) | |||||||
\(770\) | 3.36628 | + | 1.08737i | 0.121312 | + | 0.0391861i | ||||
\(771\) | −12.0904 | − | 6.98041i | −0.435426 | − | 0.251393i | ||||
\(772\) | 7.82415 | − | 7.82415i | 0.281597 | − | 0.281597i | ||||
\(773\) | 51.3533 | − | 13.7601i | 1.84705 | − | 0.494915i | 0.847682 | − | 0.530505i | \(-0.177998\pi\) |
0.999366 | + | 0.0355902i | \(0.0113311\pi\) | |||||||
\(774\) | 10.4829 | − | 2.80887i | 0.376799 | − | 0.100963i | ||||
\(775\) | −22.9300 | + | 22.9300i | −0.823670 | + | 0.823670i | ||||
\(776\) | −1.59406 | − | 0.920332i | −0.0572235 | − | 0.0330380i | ||||
\(777\) | −8.28817 | + | 25.6586i | −0.297337 | + | 0.920496i | ||||
\(778\) | −3.76548 | + | 14.0530i | −0.134999 | + | 0.503823i | ||||
\(779\) | − | 1.37876i | − | 0.0493992i | ||||||
\(780\) | 3.98545 | + | 0.120724i | 0.142702 | + | 0.00432262i | ||||
\(781\) | −10.4727 | −0.374743 | ||||||||
\(782\) | 3.60411 | − | 13.4507i | 0.128883 | − | 0.480997i | ||||
\(783\) | 7.25271 | − | 4.18735i | 0.259191 | − | 0.149644i | ||||
\(784\) | −4.09498 | + | 5.67725i | −0.146249 | + | 0.202759i | ||||
\(785\) | −2.18152 | + | 2.18152i | −0.0778619 | + | 0.0778619i | ||||
\(786\) | 0.999445 | + | 3.72998i | 0.0356490 | + | 0.133044i | ||||
\(787\) | 8.89838 | + | 33.2092i | 0.317193 | + | 1.18378i | 0.921930 | + | 0.387356i | \(0.126611\pi\) |
−0.604737 | + | 0.796425i | \(0.706722\pi\) | |||||||
\(788\) | −14.1417 | − | 14.1417i | −0.503777 | − | 0.503777i | ||||
\(789\) | −7.64194 | − | 4.41208i | −0.272060 | − | 0.157074i | ||||
\(790\) | −4.08226 | − | 7.07069i | −0.145240 | − | 0.251564i | ||||
\(791\) | 47.2813 | − | 24.1936i | 1.68113 | − | 0.860226i | ||||
\(792\) | 1.20906i | 0.0429621i | ||||||||
\(793\) | 39.8393 | − | 9.39189i | 1.41473 | − | 0.333516i | ||||
\(794\) | 8.77618i | 0.311455i | ||||||||
\(795\) | −3.76627 | − | 1.00917i | −0.133576 | − | 0.0357916i | ||||
\(796\) | −6.48394 | + | 3.74351i | −0.229817 | + | 0.132685i | ||||
\(797\) | −5.62330 | + | 9.73984i | −0.199188 | + | 0.345003i | −0.948265 | − | 0.317479i | \(-0.897164\pi\) |
0.749078 | + | 0.662482i | \(0.230497\pi\) | |||||||
\(798\) | 13.3433 | + | 0.676265i | 0.472347 | + | 0.0239395i | ||||
\(799\) | −4.19374 | − | 15.6513i | −0.148364 | − | 0.553702i | ||||
\(800\) | −3.64834 | + | 0.977571i | −0.128988 | + | 0.0345624i | ||||
\(801\) | 11.1012 | − | 11.1012i | 0.392243 | − | 0.392243i | ||||
\(802\) | −7.26512 | + | 12.5836i | −0.256540 | + | 0.444341i | ||||
\(803\) | 3.56454 | + | 6.17397i | 0.125790 | + | 0.217875i | ||||
\(804\) | 5.76691 | + | 1.54524i | 0.203383 | + | 0.0544963i | ||||
\(805\) | −11.4320 | − | 12.6527i | −0.402925 | − | 0.445948i | ||||
\(806\) | −29.6445 | − | 8.91353i | −1.04418 | − | 0.313966i | ||||
\(807\) | 5.73658 | 0.201937 | ||||||||
\(808\) | −1.89152 | + | 7.05926i | −0.0665435 | + | 0.248344i | ||||
\(809\) | −8.95015 | − | 15.5021i | −0.314671 | − | 0.545025i | 0.664697 | − | 0.747113i | \(-0.268561\pi\) |
−0.979367 | + | 0.202088i | \(0.935227\pi\) | |||||||
\(810\) | −0.552937 | + | 0.957714i | −0.0194282 | + | 0.0336507i | ||||
\(811\) | −2.71012 | − | 2.71012i | −0.0951653 | − | 0.0951653i | 0.657921 | − | 0.753087i | \(-0.271436\pi\) |
−0.753087 | + | 0.657921i | \(0.771436\pi\) | |||||||
\(812\) | −12.0358 | + | 18.6035i | −0.422373 | + | 0.652855i | ||||
\(813\) | 24.3208 | − | 6.51674i | 0.852968 | − | 0.228552i | ||||
\(814\) | −8.71299 | − | 8.71299i | −0.305390 | − | 0.305390i | ||||
\(815\) | −10.8626 | − | 6.27150i | −0.380499 | − | 0.219681i | ||||
\(816\) | 2.06921 | − | 1.19466i | 0.0724368 | − | 0.0418214i | ||||
\(817\) | 52.9360 | + | 14.1841i | 1.85199 | + | 0.496240i | ||||
\(818\) | −12.9368 | −0.452325 | ||||||||
\(819\) | 3.20571 | − | 8.98462i | 0.112017 | − | 0.313948i | ||||
\(820\) | −0.301941 | −0.0105443 | ||||||||
\(821\) | 3.31759 | + | 0.888945i | 0.115785 | + | 0.0310244i | 0.316246 | − | 0.948677i | \(-0.397577\pi\) |
−0.200461 | + | 0.979702i | \(0.564244\pi\) | |||||||
\(822\) | −9.66763 | + | 5.58161i | −0.337197 | + | 0.194681i | ||||
\(823\) | −28.5856 | − | 16.5039i | −0.996432 | − | 0.575290i | −0.0892411 | − | 0.996010i | \(-0.528444\pi\) |
−0.907191 | + | 0.420720i | \(0.861778\pi\) | |||||||
\(824\) | −6.35410 | − | 6.35410i | −0.221355 | − | 0.221355i | ||||
\(825\) | 4.41107 | − | 1.18194i | 0.153574 | − | 0.0411499i | ||||
\(826\) | 13.6648 | − | 21.1214i | 0.475457 | − | 0.734907i | ||||
\(827\) | 39.4736 | + | 39.4736i | 1.37263 | + | 1.37263i | 0.856521 | + | 0.516112i | \(0.172621\pi\) |
0.516112 | + | 0.856521i | \(0.327379\pi\) | |||||||
\(828\) | 2.91406 | − | 5.04730i | 0.101271 | − | 0.175406i | ||||
\(829\) | −26.7186 | − | 46.2780i | −0.927976 | − | 1.60730i | −0.786704 | − | 0.617331i | \(-0.788214\pi\) |
−0.141272 | − | 0.989971i | \(-0.545119\pi\) | |||||||
\(830\) | 0.883663 | − | 3.29787i | 0.0306724 | − | 0.114471i | ||||
\(831\) | 14.7779 | 0.512641 | ||||||||
\(832\) | −2.47115 | − | 2.62553i | −0.0856717 | − | 0.0910240i | ||||
\(833\) | −16.6395 | − | 1.69099i | −0.576525 | − | 0.0585894i | ||||
\(834\) | −10.4119 | − | 2.78985i | −0.360533 | − | 0.0966047i | ||||
\(835\) | −2.89097 | − | 5.00730i | −0.100046 | − | 0.173285i | ||||
\(836\) | −3.05273 | + | 5.28749i | −0.105581 | + | 0.182872i | ||||
\(837\) | 6.07089 | − | 6.07089i | 0.209841 | − | 0.209841i | ||||
\(838\) | 6.44302 | − | 1.72640i | 0.222570 | − | 0.0596376i | ||||
\(839\) | −1.84779 | − | 6.89605i | −0.0637928 | − | 0.238078i | 0.926666 | − | 0.375885i | \(-0.122661\pi\) |
−0.990459 | + | 0.137807i | \(0.955995\pi\) | |||||||
\(840\) | 0.148099 | − | 2.92211i | 0.00510989 | − | 0.100823i | ||||
\(841\) | −20.5678 | + | 35.6246i | −0.709236 | + | 1.22843i | ||||
\(842\) | −11.3312 | + | 6.54209i | −0.390500 | + | 0.225455i | ||||
\(843\) | −14.1043 | − | 3.77923i | −0.485777 | − | 0.130164i | ||||
\(844\) | 13.7065i | 0.471797i | ||||||||
\(845\) | 10.7623 | − | 9.53169i | 0.370233 | − | 0.327900i | ||||
\(846\) | − | 6.78159i | − | 0.233156i | ||||||
\(847\) | −11.4954 | − | 22.4654i | −0.394987 | − | 0.771919i | ||||
\(848\) | 1.76292 | + | 3.05347i | 0.0605389 | + | 0.104856i | ||||
\(849\) | 5.27810 | + | 3.04731i | 0.181144 | + | 0.104583i | ||||
\(850\) | −6.38133 | − | 6.38133i | −0.218878 | − | 0.218878i | ||||
\(851\) | 15.3730 | + | 57.3729i | 0.526980 | + | 1.96672i | ||||
\(852\) | 2.24186 | + | 8.36673i | 0.0768048 | + | 0.286639i | ||||
\(853\) | 5.08984 | − | 5.08984i | 0.174273 | − | 0.174273i | −0.614581 | − | 0.788854i | \(-0.710675\pi\) |
0.788854 | + | 0.614581i | \(0.210675\pi\) | |||||||
\(854\) | −6.29527 | − | 29.3683i | −0.215420 | − | 1.00496i | ||||
\(855\) | −4.83623 | + | 2.79220i | −0.165396 | + | 0.0954912i | ||||
\(856\) | 3.60059 | − | 13.4376i | 0.123066 | − | 0.459288i | ||||
\(857\) | −35.4108 | −1.20961 | −0.604806 | − | 0.796373i | \(-0.706749\pi\) | ||||
−0.604806 | + | 0.796373i | \(0.706749\pi\) | |||||||
\(858\) | 2.98777 | + | 3.17443i | 0.102001 | + | 0.108373i | ||||
\(859\) | − | 14.6378i | − | 0.499435i | −0.968319 | − | 0.249718i | \(-0.919662\pi\) | ||
0.968319 | − | 0.249718i | \(-0.0803378\pi\) | |||||||
\(860\) | 3.10626 | − | 11.5927i | 0.105923 | − | 0.395308i | ||||
\(861\) | −0.222045 | + | 0.687409i | −0.00756728 | + | 0.0234268i | ||||
\(862\) | 0.491807 | + | 0.283945i | 0.0167510 | + | 0.00967121i | ||||
\(863\) | 10.7015 | − | 10.7015i | 0.364284 | − | 0.364284i | −0.501104 | − | 0.865387i | \(-0.667072\pi\) |
0.865387 | + | 0.501104i | \(0.167072\pi\) | |||||||
\(864\) | 0.965926 | − | 0.258819i | 0.0328615 | − | 0.00880520i | ||||
\(865\) | 16.1286 | − | 4.32165i | 0.548389 | − | 0.146940i | ||||
\(866\) | −0.636227 | + | 0.636227i | −0.0216199 | + | 0.0216199i | ||||
\(867\) | −9.77843 | − | 5.64558i | −0.332093 | − | 0.191734i | ||||
\(868\) | −6.98218 | + | 21.6155i | −0.236991 | + | 0.733677i | ||||
\(869\) | 2.31031 | − | 8.62218i | 0.0783718 | − | 0.292487i | ||||
\(870\) | − | 9.26136i | − | 0.313990i | ||||||
\(871\) | 18.9597 | − | 10.1938i | 0.642426 | − | 0.345404i | ||||
\(872\) | 4.56160 | 0.154475 | ||||||||
\(873\) | 0.476399 | − | 1.77794i | 0.0161237 | − | 0.0601743i | ||||
\(874\) | 25.4876 | − | 14.7153i | 0.862133 | − | 0.497752i | ||||
\(875\) | −25.1100 | + | 5.38249i | −0.848874 | + | 0.181961i | ||||
\(876\) | 4.16937 | − | 4.16937i | 0.140870 | − | 0.140870i | ||||
\(877\) | −2.98564 | − | 11.1426i | −0.100818 | − | 0.376258i | 0.897019 | − | 0.441991i | \(-0.145728\pi\) |
−0.997837 | + | 0.0657339i | \(0.979061\pi\) | |||||||
\(878\) | 8.55308 | + | 31.9205i | 0.288652 | + | 1.07727i | ||||
\(879\) | 23.3863 | + | 23.3863i | 0.788800 | + | 0.788800i | ||||
\(880\) | 1.15793 | + | 0.668533i | 0.0390339 | + | 0.0225363i | ||||
\(881\) | −8.02315 | − | 13.8965i | −0.270307 | − | 0.468185i | 0.698634 | − | 0.715480i | \(-0.253792\pi\) |
−0.968940 | + | 0.247295i | \(0.920458\pi\) | |||||||
\(882\) | −6.54366 | − | 2.48606i | −0.220336 | − | 0.0837101i | ||||
\(883\) | 41.4765i | 1.39579i | 0.716198 | + | 0.697897i | \(0.245881\pi\) | ||||
−0.716198 | + | 0.697897i | \(0.754119\pi\) | |||||||
\(884\) | 2.48060 | − | 8.24994i | 0.0834316 | − | 0.277476i | ||||
\(885\) | 10.5148i | 0.353452i | ||||||||
\(886\) | −6.99847 | − | 1.87523i | −0.235118 | − | 0.0629997i | ||||
\(887\) | −46.4648 | + | 26.8265i | −1.56014 | + | 0.900745i | −0.562893 | + | 0.826530i | \(0.690312\pi\) |
−0.997242 | + | 0.0742151i | \(0.976355\pi\) | |||||||
\(888\) | −5.09571 | + | 8.82603i | −0.171001 | + | 0.296182i | ||||
\(889\) | −29.4555 | − | 1.49286i | −0.987906 | − | 0.0500691i | ||||
\(890\) | −4.49353 | − | 16.7701i | −0.150623 | − | 0.562134i | ||||
\(891\) | −1.16786 | + | 0.312928i | −0.0391248 | + | 0.0104835i | ||||
\(892\) | 1.29425 | − | 1.29425i | 0.0433345 | − | 0.0433345i | ||||
\(893\) | 17.1227 | − | 29.6574i | 0.572989 | − | 0.992447i | ||||
\(894\) | 11.5420 | + | 19.9913i | 0.386021 | + | 0.668608i | ||||
\(895\) | 1.88313 | + | 0.504582i | 0.0629460 | + | 0.0168663i | ||||
\(896\) | −1.96313 | + | 1.77373i | −0.0655834 | + | 0.0592563i | ||||
\(897\) | −4.82166 | − | 20.4529i | −0.160991 | − | 0.682903i | ||||
\(898\) | −12.2700 | −0.409455 | ||||||||
\(899\) | −18.6094 | + | 69.4513i | −0.620659 | + | 2.31633i | ||||
\(900\) | −1.88852 | − | 3.27102i | −0.0629507 | − | 0.109034i | ||||
\(901\) | −4.21218 | + | 7.29570i | −0.140328 | + | 0.243055i | ||||
\(902\) | −0.233426 | − | 0.233426i | −0.00777225 | − | 0.00777225i | ||||
\(903\) | −24.1080 | − | 15.5970i | −0.802264 | − | 0.519035i | ||||
\(904\) | 19.3903 | − | 5.19562i | 0.644912 | − | 0.172804i | ||||
\(905\) | 18.5397 | + | 18.5397i | 0.616280 | + | 0.616280i | ||||
\(906\) | 2.83886 | + | 1.63902i | 0.0943147 | + | 0.0544526i | ||||
\(907\) | −24.5316 | + | 14.1633i | −0.814558 | + | 0.470285i | −0.848536 | − | 0.529138i | \(-0.822516\pi\) |
0.0339785 | + | 0.999423i | \(0.489182\pi\) | |||||||
\(908\) | 7.87073 | + | 2.10896i | 0.261199 | + | 0.0699882i | ||||
\(909\) | −7.30828 | −0.242400 | ||||||||
\(910\) | −6.83214 | − | 8.03808i | −0.226483 | − | 0.266460i | ||||
\(911\) | −17.1135 | −0.566995 | −0.283498 | − | 0.958973i | \(-0.591495\pi\) | ||||
−0.283498 | + | 0.958973i | \(0.591495\pi\) | |||||||
\(912\) | 4.87770 | + | 1.30697i | 0.161517 | + | 0.0432783i | ||||
\(913\) | 3.23268 | − | 1.86639i | 0.106986 | − | 0.0617685i | ||||
\(914\) | 28.6171 | + | 16.5221i | 0.946568 | + | 0.546502i | ||||
\(915\) | 8.87717 | + | 8.87717i | 0.293470 | + | 0.293470i | ||||
\(916\) | −21.1928 | + | 5.67860i | −0.700231 | + | 0.187626i | ||||
\(917\) | 5.54967 | − | 8.57803i | 0.183266 | − | 0.283272i | ||||
\(918\) | 1.68950 | + | 1.68950i | 0.0557619 | + | 0.0557619i | ||||
\(919\) | 0.208334 | − | 0.360845i | 0.00687230 | − | 0.0119032i | −0.862569 | − | 0.505940i | \(-0.831146\pi\) |
0.869441 | + | 0.494037i | \(0.164479\pi\) | |||||||
\(920\) | −3.22258 | − | 5.58167i | −0.106245 | − | 0.184022i | ||||
\(921\) | 4.81548 | − | 17.9716i | 0.158675 | − | 0.592185i | ||||
\(922\) | −7.59275 | −0.250054 | ||||||||
\(923\) | 26.5615 | + | 16.4272i | 0.874282 | + | 0.540706i | ||||
\(924\) | 2.37354 | − | 2.14455i | 0.0780836 | − | 0.0705505i | ||||
\(925\) | 37.1818 | + | 9.96284i | 1.22253 | + | 0.327576i | ||||
\(926\) | 3.57857 | + | 6.19827i | 0.117599 | + | 0.203688i | ||||
\(927\) | 4.49303 | − | 7.78215i | 0.147570 | − | 0.255599i | ||||
\(928\) | −5.92181 | + | 5.92181i | −0.194393 | + | 0.194393i | ||||
\(929\) | −28.6289 | + | 7.67108i | −0.939283 | + | 0.251680i | −0.695809 | − | 0.718227i | \(-0.744954\pi\) |
−0.243474 | + | 0.969907i | \(0.578287\pi\) | |||||||
\(930\) | −2.45736 | − | 9.17099i | −0.0805800 | − | 0.300729i | ||||
\(931\) | −22.3399 | − | 27.3941i | −0.732160 | − | 0.897805i | ||||
\(932\) | 11.4859 | − | 19.8942i | 0.376234 | − | 0.651657i | ||||
\(933\) | 20.8869 | − | 12.0590i | 0.683806 | − | 0.394795i | ||||
\(934\) | −37.7538 | − | 10.1161i | −1.23534 | − | 0.331009i | ||||
\(935\) | 3.19468i | 0.104477i | ||||||||
\(936\) | 1.89649 | − | 3.06648i | 0.0619887 | − | 0.100231i | ||||
\(937\) | 35.1676i | 1.14888i | 0.818548 | + | 0.574438i | \(0.194779\pi\) | ||||
−0.818548 | + | 0.574438i | \(0.805221\pi\) | |||||||
\(938\) | −7.19547 | − | 14.0620i | −0.234940 | − | 0.459141i | ||||
\(939\) | −0.326970 | − | 0.566328i | −0.0106703 | − | 0.0184814i | ||||
\(940\) | −6.49482 | − | 3.74979i | −0.211838 | − | 0.122305i | ||||
\(941\) | −18.3694 | − | 18.3694i | −0.598825 | − | 0.598825i | 0.341175 | − | 0.940000i | \(-0.389175\pi\) |
−0.940000 | + | 0.341175i | \(0.889175\pi\) | |||||||
\(942\) | 0.722048 | + | 2.69472i | 0.0235256 | + | 0.0877987i | ||||
\(943\) | 0.411853 | + | 1.53705i | 0.0134118 | + | 0.0500534i | ||||
\(944\) | 6.72330 | − | 6.72330i | 0.218825 | − | 0.218825i | ||||
\(945\) | 2.86088 | − | 0.613247i | 0.0930643 | − | 0.0199489i | ||||
\(946\) | 11.3636 | − | 6.56075i | 0.369461 | − | 0.213308i | ||||
\(947\) | 2.18485 | − | 8.15396i | 0.0709980 | − | 0.264968i | −0.921298 | − | 0.388857i | \(-0.872870\pi\) |
0.992296 | + | 0.123889i | \(0.0395366\pi\) | |||||||
\(948\) | −7.38288 | −0.239785 | ||||||||
\(949\) | 0.643687 | − | 21.2500i | 0.0208950 | − | 0.689803i | ||||
\(950\) | − | 19.0732i | − | 0.618816i | ||||||
\(951\) | 5.96082 | − | 22.2461i | 0.193293 | − | 0.721379i | ||||
\(952\) | −6.01550 | − | 1.94311i | −0.194963 | − | 0.0629766i | ||||
\(953\) | −39.7256 | − | 22.9356i | −1.28684 | − | 0.742956i | −0.308749 | − | 0.951144i | \(-0.599910\pi\) |
−0.978089 | + | 0.208188i | \(0.933244\pi\) | |||||||
\(954\) | −2.49314 | + | 2.49314i | −0.0807185 | + | 0.0807185i | ||||
\(955\) | −3.24012 | + | 0.868187i | −0.104848 | + | 0.0280939i | ||||
\(956\) | 8.89437 | − | 2.38324i | 0.287664 | − | 0.0770794i | ||||
\(957\) | 7.15982 | − | 7.15982i | 0.231444 | − | 0.231444i | ||||
\(958\) | 13.4335 | + | 7.75581i | 0.434016 | + | 0.250579i | ||||
\(959\) | 28.1052 | + | 9.07849i | 0.907565 | + | 0.293160i | ||||
\(960\) | 0.286221 | − | 1.06819i | 0.00923774 | − | 0.0344757i | ||||
\(961\) | 42.7113i | 1.37778i | ||||||||
\(962\) | 8.43147 | + | 35.7653i | 0.271842 | + | 1.15312i | ||||
\(963\) | 13.9116 | 0.448296 | ||||||||
\(964\) | −2.09265 | + | 7.80988i | −0.0673998 | + | 0.251539i | ||||
\(965\) | 10.5971 | − | 6.11826i | 0.341134 | − | 0.196954i | ||||
\(966\) | −15.0772 | + | 3.23190i | −0.485102 | + | 0.103985i | ||||
\(967\) | −10.2351 | + | 10.2351i | −0.329140 | + | 0.329140i | −0.852259 | − | 0.523119i | \(-0.824768\pi\) |
0.523119 | + | 0.852259i | \(0.324768\pi\) | |||||||
\(968\) | −2.46866 | − | 9.21317i | −0.0793458 | − | 0.296122i | ||||
\(969\) | 3.12278 | + | 11.6544i | 0.100318 | + | 0.374392i | ||||
\(970\) | −1.43934 | − | 1.43934i | −0.0462146 | − | 0.0462146i | ||||
\(971\) | 30.0710 | + | 17.3615i | 0.965024 | + | 0.557157i | 0.897716 | − | 0.440575i | \(-0.145225\pi\) |
0.0673086 | + | 0.997732i | \(0.478559\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | 12.9911 | + | 25.3883i | 0.416474 | + | 0.813910i | ||||
\(974\) | − | 4.90883i | − | 0.157289i | ||||||
\(975\) | −13.0415 | − | 3.92134i | −0.417664 | − | 0.125583i | ||||
\(976\) | − | 11.3523i | − | 0.363379i | ||||||
\(977\) | 29.7442 | + | 7.96992i | 0.951600 | + | 0.254980i | 0.701041 | − | 0.713121i | \(-0.252719\pi\) |
0.250559 | + | 0.968101i | \(0.419386\pi\) | |||||||
\(978\) | −9.82260 | + | 5.67108i | −0.314092 | + | 0.181341i | ||||
\(979\) | 9.49082 | − | 16.4386i | 0.303328 | − | 0.525379i | ||||
\(980\) | −5.99917 | + | 4.89232i | −0.191636 | + | 0.156279i | ||||
\(981\) | 1.18063 | + | 4.40617i | 0.0376946 | + | 0.140678i | ||||
\(982\) | −12.7914 | + | 3.42743i | −0.408189 | + | 0.109374i | ||||
\(983\) | 41.7064 | − | 41.7064i | 1.33023 | − | 1.33023i | 0.425067 | − | 0.905162i | \(-0.360251\pi\) |
0.905162 | − | 0.425067i | \(-0.139749\pi\) | |||||||
\(984\) | −0.136517 | + | 0.236455i | −0.00435201 | + | 0.00753790i | ||||
\(985\) | −11.0584 | − | 19.1537i | −0.352349 | − | 0.610287i | ||||
\(986\) | −19.3280 | − | 5.17893i | −0.615529 | − | 0.164931i | ||||
\(987\) | −13.3131 | + | 12.0287i | −0.423761 | + | 0.382879i | ||||
\(988\) | 16.0363 | − | 8.62201i | 0.510182 | − | 0.274303i | ||||
\(989\) | −63.2505 | −2.01125 | ||||||||
\(990\) | −0.346058 | + | 1.29151i | −0.0109985 | + | 0.0410468i | ||||
\(991\) | 26.9472 | + | 46.6739i | 0.856006 | + | 1.48265i | 0.875709 | + | 0.482840i | \(0.160395\pi\) |
−0.0197025 | + | 0.999806i | \(0.506272\pi\) | |||||||
\(992\) | −4.29276 | + | 7.43529i | −0.136295 | + | 0.236071i | ||||
\(993\) | 10.0679 | + | 10.0679i | 0.319494 | + | 0.319494i | ||||
\(994\) | 12.4485 | − | 19.2414i | 0.394842 | − | 0.610300i | ||||
\(995\) | −7.99756 | + | 2.14294i | −0.253540 | + | 0.0679358i | ||||
\(996\) | −2.18308 | − | 2.18308i | −0.0691736 | − | 0.0691736i | ||||
\(997\) | 2.09912 | + | 1.21193i | 0.0664799 | + | 0.0383822i | 0.532872 | − | 0.846196i | \(-0.321113\pi\) |
−0.466392 | + | 0.884578i | \(0.654446\pi\) | |||||||
\(998\) | −3.76402 | + | 2.17316i | −0.119148 | + | 0.0687901i | ||||
\(999\) | −9.84416 | − | 2.63773i | −0.311455 | − | 0.0834542i |
(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 | 546.2.bx.b.223.3 | yes | 40 | |
7.6 | odd | 2 | 546.2.bx.a.223.3 | ✓ | 40 | ||
13.7 | odd | 12 | 546.2.bx.a.475.3 | yes | 40 | ||
91.20 | even | 12 | inner | 546.2.bx.b.475.3 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bx.a.223.3 | ✓ | 40 | 7.6 | odd | 2 | ||
546.2.bx.a.475.3 | yes | 40 | 13.7 | odd | 12 | ||
546.2.bx.b.223.3 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.bx.b.475.3 | yes | 40 | 91.20 | even | 12 | inner |