Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(76,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.by (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 97.1 | ||
Character | \(\chi\) | \(=\) | 273.97 |
Dual form | 273.2.by.d.76.1 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.706652 | − | 2.63726i | −0.499678 | − | 1.86482i | −0.502069 | − | 0.864828i | \(-0.667428\pi\) |
0.00239085 | − | 0.999997i | \(-0.499239\pi\) | |||||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | −4.72373 | + | 2.72725i | −2.36187 | + | 1.36362i | ||||
\(5\) | −2.18431 | − | 2.18431i | −0.976853 | − | 0.976853i | 0.0228851 | − | 0.999738i | \(-0.492715\pi\) |
−0.999738 | + | 0.0228851i | \(0.992715\pi\) | |||||||
\(6\) | −0.706652 | + | 2.63726i | −0.288489 | + | 1.07666i | ||||
\(7\) | 0.666364 | + | 2.56046i | 0.251862 | + | 0.967763i | ||||
\(8\) | 6.66928 | + | 6.66928i | 2.35795 | + | 2.35795i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −4.21705 | + | 7.30414i | −1.33355 | + | 2.30977i | ||||
\(11\) | −0.456585 | + | 0.122342i | −0.137666 | + | 0.0368874i | −0.326994 | − | 0.945026i | \(-0.606036\pi\) |
0.189328 | + | 0.981914i | \(0.439369\pi\) | |||||||
\(12\) | 5.45450 | 1.57458 | ||||||||
\(13\) | −2.45314 | − | 2.64236i | −0.680379 | − | 0.732860i | ||||
\(14\) | 6.28171 | − | 3.56673i | 1.67886 | − | 0.953248i | ||||
\(15\) | 0.799513 | + | 2.98382i | 0.206433 | + | 0.770420i | ||||
\(16\) | 7.42128 | − | 12.8540i | 1.85532 | − | 3.21351i | ||||
\(17\) | −1.14138 | − | 1.97693i | −0.276826 | − | 0.479477i | 0.693768 | − | 0.720198i | \(-0.255949\pi\) |
−0.970594 | + | 0.240722i | \(0.922616\pi\) | |||||||
\(18\) | 1.93061 | − | 1.93061i | 0.455049 | − | 0.455049i | ||||
\(19\) | −1.51851 | + | 5.66717i | −0.348371 | + | 1.30014i | 0.540254 | + | 0.841502i | \(0.318328\pi\) |
−0.888625 | + | 0.458635i | \(0.848339\pi\) | |||||||
\(20\) | 16.2753 | + | 4.36094i | 3.63926 | + | 0.975136i | ||||
\(21\) | 0.703143 | − | 2.55061i | 0.153438 | − | 0.556588i | ||||
\(22\) | 0.645294 | + | 1.11768i | 0.137577 | + | 0.238291i | ||||
\(23\) | 0.481898 | + | 0.278224i | 0.100483 | + | 0.0580137i | 0.549399 | − | 0.835560i | \(-0.314857\pi\) |
−0.448917 | + | 0.893574i | \(0.648190\pi\) | |||||||
\(24\) | −2.44113 | − | 9.11041i | −0.498293 | − | 1.85966i | ||||
\(25\) | 4.54242i | 0.908484i | ||||||||
\(26\) | −5.23509 | + | 8.33681i | −1.02668 | + | 1.63498i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −10.1307 | − | 10.2776i | −1.91453 | − | 1.94228i | ||||
\(29\) | −3.64605 | + | 6.31515i | −0.677055 | + | 1.17269i | 0.298809 | + | 0.954313i | \(0.403411\pi\) |
−0.975864 | + | 0.218381i | \(0.929923\pi\) | |||||||
\(30\) | 7.30414 | − | 4.21705i | 1.33355 | − | 0.769924i | ||||
\(31\) | 2.74924 | + | 2.74924i | 0.493778 | + | 0.493778i | 0.909494 | − | 0.415716i | \(-0.136469\pi\) |
−0.415716 | + | 0.909494i | \(0.636469\pi\) | |||||||
\(32\) | −20.9229 | − | 5.60626i | −3.69867 | − | 0.991057i | ||||
\(33\) | 0.456585 | + | 0.122342i | 0.0794813 | + | 0.0212970i | ||||
\(34\) | −4.40713 | + | 4.40713i | −0.755816 | + | 0.755816i | ||||
\(35\) | 4.13729 | − | 7.04838i | 0.699330 | − | 1.19139i | ||||
\(36\) | −4.72373 | − | 2.72725i | −0.787289 | − | 0.454542i | ||||
\(37\) | −6.41041 | + | 1.71767i | −1.05387 | + | 0.282382i | −0.743848 | − | 0.668348i | \(-0.767002\pi\) |
−0.310017 | + | 0.950731i | \(0.600335\pi\) | |||||||
\(38\) | 16.0189 | 2.59860 | ||||||||
\(39\) | 0.803302 | + | 3.51493i | 0.128631 | + | 0.562839i | ||||
\(40\) | − | 29.1356i | − | 4.60674i | ||||||
\(41\) | −1.49535 | + | 0.400678i | −0.233535 | + | 0.0625755i | −0.373688 | − | 0.927554i | \(-0.621907\pi\) |
0.140154 | + | 0.990130i | \(0.455240\pi\) | |||||||
\(42\) | −7.22349 | − | 0.0519798i | −1.11461 | − | 0.00802065i | ||||
\(43\) | 5.08624 | − | 2.93654i | 0.775644 | − | 0.447818i | −0.0592406 | − | 0.998244i | \(-0.518868\pi\) |
0.834884 | + | 0.550426i | \(0.185535\pi\) | |||||||
\(44\) | 1.82313 | − | 1.82313i | 0.274848 | − | 0.274848i | ||||
\(45\) | 0.799513 | − | 2.98382i | 0.119184 | − | 0.444802i | ||||
\(46\) | 0.393215 | − | 1.46750i | 0.0579763 | − | 0.216371i | ||||
\(47\) | −6.55220 | + | 6.55220i | −0.955736 | + | 0.955736i | −0.999061 | − | 0.0433248i | \(-0.986205\pi\) |
0.0433248 | + | 0.999061i | \(0.486205\pi\) | |||||||
\(48\) | −12.8540 | + | 7.42128i | −1.85532 | + | 1.07117i | ||||
\(49\) | −6.11192 | + | 3.41240i | −0.873131 | + | 0.487485i | ||||
\(50\) | 11.9795 | − | 3.20991i | 1.69416 | − | 0.453949i | ||||
\(51\) | 2.28277i | 0.319651i | ||||||||
\(52\) | 18.7944 | + | 5.79150i | 2.60631 | + | 0.803136i | ||||
\(53\) | 4.17698 | 0.573753 | 0.286876 | − | 0.957968i | \(-0.407383\pi\) | ||||
0.286876 | + | 0.957968i | \(0.407383\pi\) | |||||||
\(54\) | −2.63726 | + | 0.706652i | −0.358886 | + | 0.0961631i | ||||
\(55\) | 1.26456 | + | 0.730092i | 0.170513 | + | 0.0984456i | ||||
\(56\) | −12.6323 | + | 21.5206i | −1.68806 | + | 2.87581i | ||||
\(57\) | 4.14865 | − | 4.14865i | 0.549503 | − | 0.549503i | ||||
\(58\) | 19.2312 | + | 5.15298i | 2.52518 | + | 0.676619i | ||||
\(59\) | −14.2781 | − | 3.82579i | −1.85884 | − | 0.498076i | −0.858942 | − | 0.512072i | \(-0.828878\pi\) |
−0.999902 | + | 0.0139966i | \(0.995545\pi\) | |||||||
\(60\) | −11.9143 | − | 11.9143i | −1.53813 | − | 1.53813i | ||||
\(61\) | 0.553719 | − | 0.319690i | 0.0708965 | − | 0.0409321i | −0.464133 | − | 0.885766i | \(-0.653634\pi\) |
0.535029 | + | 0.844834i | \(0.320301\pi\) | |||||||
\(62\) | 5.30771 | − | 9.19322i | 0.674079 | − | 1.16754i | ||||
\(63\) | −1.88424 | + | 1.85732i | −0.237392 | + | 0.234000i | ||||
\(64\) | 29.4556i | 3.68195i | ||||||||
\(65\) | −0.413319 | + | 11.1302i | −0.0512659 | + | 1.38053i | ||||
\(66\) | − | 1.29059i | − | 0.158860i | ||||||
\(67\) | −2.17304 | − | 8.10989i | −0.265479 | − | 0.990780i | −0.961957 | − | 0.273202i | \(-0.911917\pi\) |
0.696478 | − | 0.717578i | \(-0.254749\pi\) | |||||||
\(68\) | 10.7832 | + | 6.22567i | 1.30765 | + | 0.754973i | ||||
\(69\) | −0.278224 | − | 0.481898i | −0.0334942 | − | 0.0580137i | ||||
\(70\) | −21.5120 | − | 5.93037i | −2.57118 | − | 0.708815i | ||||
\(71\) | −2.13591 | − | 0.572316i | −0.253486 | − | 0.0679214i | 0.129838 | − | 0.991535i | \(-0.458554\pi\) |
−0.383324 | + | 0.923614i | \(0.625221\pi\) | |||||||
\(72\) | −2.44113 | + | 9.11041i | −0.287690 | + | 1.07367i | ||||
\(73\) | −2.43968 | + | 2.43968i | −0.285543 | + | 0.285543i | −0.835315 | − | 0.549772i | \(-0.814715\pi\) |
0.549772 | + | 0.835315i | \(0.314715\pi\) | |||||||
\(74\) | 9.05986 | + | 15.6921i | 1.05319 | + | 1.82417i | ||||
\(75\) | 2.27121 | − | 3.93385i | 0.262257 | − | 0.454242i | ||||
\(76\) | −8.28273 | − | 30.9116i | −0.950094 | − | 3.54580i | ||||
\(77\) | −0.617503 | − | 1.08755i | −0.0703710 | − | 0.123937i | ||||
\(78\) | 8.70212 | − | 4.60234i | 0.985321 | − | 0.521113i | ||||
\(79\) | −11.8014 | −1.32776 | −0.663878 | − | 0.747841i | \(-0.731091\pi\) | ||||
−0.663878 | + | 0.747841i | \(0.731091\pi\) | |||||||
\(80\) | −44.2876 | + | 11.8668i | −4.95150 | + | 1.32675i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 2.11339 | + | 3.66049i | 0.233384 | + | 0.404234i | ||||
\(83\) | −1.80810 | − | 1.80810i | −0.198465 | − | 0.198465i | 0.600877 | − | 0.799342i | \(-0.294818\pi\) |
−0.799342 | + | 0.600877i | \(0.794818\pi\) | |||||||
\(84\) | 3.63468 | + | 13.9660i | 0.396576 | + | 1.52382i | ||||
\(85\) | −1.82510 | + | 6.81137i | −0.197960 | + | 0.738796i | ||||
\(86\) | −11.3386 | − | 11.3386i | −1.22267 | − | 1.22267i | ||||
\(87\) | 6.31515 | − | 3.64605i | 0.677055 | − | 0.390898i | ||||
\(88\) | −3.86103 | − | 2.22917i | −0.411587 | − | 0.237630i | ||||
\(89\) | −0.363443 | − | 1.35639i | −0.0385248 | − | 0.143777i | 0.943985 | − | 0.329990i | \(-0.107045\pi\) |
−0.982509 | + | 0.186213i | \(0.940379\pi\) | |||||||
\(90\) | −8.43409 | −0.889032 | ||||||||
\(91\) | 5.13099 | − | 8.04195i | 0.537873 | − | 0.843026i | ||||
\(92\) | −3.03514 | −0.316436 | ||||||||
\(93\) | −1.00629 | − | 3.75553i | −0.104348 | − | 0.389431i | ||||
\(94\) | 21.9100 | + | 12.6497i | 2.25984 | + | 1.30472i | ||||
\(95\) | 15.6957 | − | 9.06194i | 1.61035 | − | 0.929736i | ||||
\(96\) | 15.3166 | + | 15.3166i | 1.56324 | + | 1.56324i | ||||
\(97\) | −3.25005 | + | 12.1294i | −0.329993 | + | 1.23155i | 0.579204 | + | 0.815183i | \(0.303364\pi\) |
−0.909197 | + | 0.416367i | \(0.863303\pi\) | |||||||
\(98\) | 13.3184 | + | 13.7073i | 1.34536 | + | 1.38465i | ||||
\(99\) | −0.334244 | − | 0.334244i | −0.0335928 | − | 0.0335928i | ||||
\(100\) | −12.3883 | − | 21.4572i | −1.23883 | − | 2.14572i | ||||
\(101\) | 3.23413 | − | 5.60168i | 0.321808 | − | 0.557388i | −0.659053 | − | 0.752096i | \(-0.729043\pi\) |
0.980861 | + | 0.194708i | \(0.0623761\pi\) | |||||||
\(102\) | 6.02025 | − | 1.61312i | 0.596093 | − | 0.159723i | ||||
\(103\) | 8.52900 | 0.840388 | 0.420194 | − | 0.907434i | \(-0.361962\pi\) | ||||
0.420194 | + | 0.907434i | \(0.361962\pi\) | |||||||
\(104\) | 1.26197 | − | 33.9834i | 0.123747 | − | 3.33235i | ||||
\(105\) | −7.10719 | + | 4.03543i | −0.693591 | + | 0.393818i | ||||
\(106\) | −2.95167 | − | 11.0158i | −0.286692 | − | 1.06995i | ||||
\(107\) | 2.34420 | − | 4.06027i | 0.226622 | − | 0.392521i | −0.730183 | − | 0.683252i | \(-0.760565\pi\) |
0.956805 | + | 0.290731i | \(0.0938984\pi\) | |||||||
\(108\) | 2.72725 | + | 4.72373i | 0.262430 | + | 0.454542i | ||||
\(109\) | 3.66100 | − | 3.66100i | 0.350661 | − | 0.350661i | −0.509695 | − | 0.860355i | \(-0.670242\pi\) |
0.860355 | + | 0.509695i | \(0.170242\pi\) | |||||||
\(110\) | 1.03184 | − | 3.85088i | 0.0983822 | − | 0.367167i | ||||
\(111\) | 6.41041 | + | 1.71767i | 0.608450 | + | 0.163034i | ||||
\(112\) | 37.8575 | + | 10.4364i | 3.57720 | + | 0.986150i | ||||
\(113\) | −4.41169 | − | 7.64128i | −0.415017 | − | 0.718831i | 0.580413 | − | 0.814322i | \(-0.302891\pi\) |
−0.995430 | + | 0.0954914i | \(0.969558\pi\) | |||||||
\(114\) | −13.8727 | − | 8.00943i | −1.29930 | − | 0.750151i | ||||
\(115\) | −0.444887 | − | 1.66034i | −0.0414859 | − | 0.154828i | ||||
\(116\) | − | 39.7748i | − | 3.69300i | ||||||
\(117\) | 1.06178 | − | 3.44567i | 0.0981619 | − | 0.318552i | ||||
\(118\) | 40.3584i | 3.71530i | ||||||||
\(119\) | 4.30128 | − | 4.23982i | 0.394298 | − | 0.388664i | ||||
\(120\) | −14.5678 | + | 25.2321i | −1.32985 | + | 2.30337i | ||||
\(121\) | −9.33278 | + | 5.38828i | −0.848434 | + | 0.489844i | ||||
\(122\) | −1.23439 | − | 1.23439i | −0.111757 | − | 0.111757i | ||||
\(123\) | 1.49535 | + | 0.400678i | 0.134831 | + | 0.0361280i | ||||
\(124\) | −20.4845 | − | 5.48882i | −1.83957 | − | 0.492910i | ||||
\(125\) | −0.999502 | + | 0.999502i | −0.0893982 | + | 0.0893982i | ||||
\(126\) | 6.22973 | + | 3.65676i | 0.554989 | + | 0.325770i | ||||
\(127\) | 8.32452 | + | 4.80617i | 0.738682 | + | 0.426478i | 0.821590 | − | 0.570079i | \(-0.193087\pi\) |
−0.0829079 | + | 0.996557i | \(0.526421\pi\) | |||||||
\(128\) | 35.8364 | − | 9.60232i | 3.16752 | − | 0.848734i | ||||
\(129\) | −5.87308 | −0.517096 | ||||||||
\(130\) | 29.6452 | − | 6.77512i | 2.60006 | − | 0.594218i | ||||
\(131\) | − | 15.6056i | − | 1.36346i | −0.731602 | − | 0.681732i | \(-0.761227\pi\) | ||
0.731602 | − | 0.681732i | \(-0.238773\pi\) | |||||||
\(132\) | −2.49044 | + | 0.667313i | −0.216765 | + | 0.0580821i | ||||
\(133\) | −15.5224 | − | 0.111698i | −1.34597 | − | 0.00968549i | ||||
\(134\) | −19.8523 | + | 11.4617i | −1.71498 | + | 0.990143i | ||||
\(135\) | −2.18431 | + | 2.18431i | −0.187995 | + | 0.187995i | ||||
\(136\) | 5.57252 | − | 20.7969i | 0.477840 | − | 1.78332i | ||||
\(137\) | 5.03398 | − | 18.7871i | 0.430082 | − | 1.60509i | −0.322488 | − | 0.946574i | \(-0.604519\pi\) |
0.752569 | − | 0.658513i | \(-0.228814\pi\) | |||||||
\(138\) | −1.07428 | + | 1.07428i | −0.0914490 | + | 0.0914490i | ||||
\(139\) | 4.85118 | − | 2.80083i | 0.411472 | − | 0.237564i | −0.279950 | − | 0.960015i | \(-0.590318\pi\) |
0.691422 | + | 0.722451i | \(0.256985\pi\) | |||||||
\(140\) | −0.320781 | + | 44.5781i | −0.0271110 | + | 3.76754i | ||||
\(141\) | 8.95047 | − | 2.39827i | 0.753765 | − | 0.201971i | ||||
\(142\) | 6.03739i | 0.506646i | ||||||||
\(143\) | 1.44334 | + | 0.906344i | 0.120698 | + | 0.0757923i | ||||
\(144\) | 14.8426 | 1.23688 | ||||||||
\(145\) | 21.7583 | − | 5.83013i | 1.80693 | − | 0.484166i | ||||
\(146\) | 8.15808 | + | 4.71007i | 0.675168 | + | 0.389808i | ||||
\(147\) | 6.99928 | + | 0.100738i | 0.577290 | + | 0.00830872i | ||||
\(148\) | 25.5966 | − | 25.5966i | 2.10403 | − | 2.10403i | ||||
\(149\) | −19.1586 | − | 5.13354i | −1.56954 | − | 0.420556i | −0.633869 | − | 0.773440i | \(-0.718534\pi\) |
−0.935667 | + | 0.352885i | \(0.885201\pi\) | |||||||
\(150\) | −11.9795 | − | 3.20991i | −0.978125 | − | 0.262088i | ||||
\(151\) | 0.637052 | + | 0.637052i | 0.0518426 | + | 0.0518426i | 0.732553 | − | 0.680710i | \(-0.238329\pi\) |
−0.680710 | + | 0.732553i | \(0.738329\pi\) | |||||||
\(152\) | −47.9233 | + | 27.6686i | −3.88710 | + | 2.24422i | ||||
\(153\) | 1.14138 | − | 1.97693i | 0.0922753 | − | 0.159826i | ||||
\(154\) | −2.43178 | + | 2.39703i | −0.195958 | + | 0.193158i | ||||
\(155\) | − | 12.0104i | − | 0.964697i | ||||||
\(156\) | −13.3807 | − | 14.4128i | −1.07131 | − | 1.15395i | ||||
\(157\) | − | 0.106383i | − | 0.00849030i | −0.999991 | − | 0.00424515i | \(-0.998649\pi\) | ||
0.999991 | − | 0.00424515i | \(-0.00135128\pi\) | |||||||
\(158\) | 8.33945 | + | 31.1232i | 0.663451 | + | 2.47603i | ||||
\(159\) | −3.61738 | − | 2.08849i | −0.286876 | − | 0.165628i | ||||
\(160\) | 33.4562 | + | 57.9478i | 2.64494 | + | 4.58118i | ||||
\(161\) | −0.391262 | + | 1.41928i | −0.0308358 | + | 0.111855i | ||||
\(162\) | 2.63726 | + | 0.706652i | 0.207203 | + | 0.0555198i | ||||
\(163\) | 3.70956 | − | 13.8443i | 0.290555 | − | 1.08437i | −0.654128 | − | 0.756383i | \(-0.726964\pi\) |
0.944684 | − | 0.327983i | \(-0.106369\pi\) | |||||||
\(164\) | 5.97090 | − | 5.97090i | 0.466249 | − | 0.466249i | ||||
\(165\) | −0.730092 | − | 1.26456i | −0.0568376 | − | 0.0984456i | ||||
\(166\) | −3.49074 | + | 6.04613i | −0.270934 | + | 0.469271i | ||||
\(167\) | 3.66050 | + | 13.6612i | 0.283258 | + | 1.05713i | 0.950103 | + | 0.311936i | \(0.100977\pi\) |
−0.666845 | + | 0.745196i | \(0.732356\pi\) | |||||||
\(168\) | 21.7002 | − | 12.3213i | 1.67420 | − | 0.950606i | ||||
\(169\) | −0.964180 | + | 12.9642i | −0.0741677 | + | 0.997246i | ||||
\(170\) | 19.2531 | 1.47664 | ||||||||
\(171\) | −5.66717 | + | 1.51851i | −0.433379 | + | 0.116124i | ||||
\(172\) | −16.0173 | + | 27.7429i | −1.22131 | + | 2.11537i | ||||
\(173\) | 0.208401 | + | 0.360961i | 0.0158444 | + | 0.0274434i | 0.873839 | − | 0.486216i | \(-0.161623\pi\) |
−0.857994 | + | 0.513659i | \(0.828290\pi\) | |||||||
\(174\) | −14.0782 | − | 14.0782i | −1.06727 | − | 1.06727i | ||||
\(175\) | −11.6307 | + | 3.02690i | −0.879197 | + | 0.228812i | ||||
\(176\) | −1.81586 | + | 6.77690i | −0.136876 | + | 0.510828i | ||||
\(177\) | 10.4523 | + | 10.4523i | 0.785640 | + | 0.785640i | ||||
\(178\) | −3.32032 | + | 1.91699i | −0.248868 | + | 0.143684i | ||||
\(179\) | 8.99794 | + | 5.19496i | 0.672537 | + | 0.388290i | 0.797037 | − | 0.603930i | \(-0.206399\pi\) |
−0.124500 | + | 0.992220i | \(0.539733\pi\) | |||||||
\(180\) | 4.36094 | + | 16.2753i | 0.325045 | + | 1.21309i | ||||
\(181\) | −21.4482 | −1.59423 | −0.797117 | − | 0.603825i | \(-0.793643\pi\) | ||||
−0.797117 | + | 0.603825i | \(0.793643\pi\) | |||||||
\(182\) | −24.8345 | − | 7.84888i | −1.84086 | − | 0.581798i | ||||
\(183\) | −0.639380 | −0.0472643 | ||||||||
\(184\) | 1.35836 | + | 5.06947i | 0.100140 | + | 0.373726i | ||||
\(185\) | 17.7542 | + | 10.2504i | 1.30532 | + | 0.753626i | ||||
\(186\) | −9.19322 | + | 5.30771i | −0.674079 | + | 0.389180i | ||||
\(187\) | 0.763000 | + | 0.763000i | 0.0557961 | + | 0.0557961i | ||||
\(188\) | 13.0814 | − | 48.8203i | 0.954057 | − | 3.56059i | ||||
\(189\) | 2.56046 | − | 0.666364i | 0.186246 | − | 0.0484708i | ||||
\(190\) | −34.9901 | − | 34.9901i | −2.53845 | − | 2.53845i | ||||
\(191\) | 0.111216 | + | 0.192631i | 0.00804729 | + | 0.0139383i | 0.870021 | − | 0.493015i | \(-0.164105\pi\) |
−0.861974 | + | 0.506953i | \(0.830772\pi\) | |||||||
\(192\) | 14.7278 | − | 25.5093i | 1.06289 | − | 1.84098i | ||||
\(193\) | −1.98209 | + | 0.531099i | −0.142674 | + | 0.0382293i | −0.329449 | − | 0.944173i | \(-0.606863\pi\) |
0.186775 | + | 0.982403i | \(0.440196\pi\) | |||||||
\(194\) | 34.2849 | 2.46152 | ||||||||
\(195\) | 5.92303 | − | 9.43235i | 0.424157 | − | 0.675464i | ||||
\(196\) | 19.5646 | − | 32.7880i | 1.39747 | − | 2.34200i | ||||
\(197\) | 3.40878 | + | 12.7217i | 0.242865 | + | 0.906386i | 0.974444 | + | 0.224629i | \(0.0721171\pi\) |
−0.731579 | + | 0.681757i | \(0.761216\pi\) | |||||||
\(198\) | −0.645294 | + | 1.11768i | −0.0458590 | + | 0.0794302i | ||||
\(199\) | −1.49318 | − | 2.58626i | −0.105849 | − | 0.183335i | 0.808236 | − | 0.588859i | \(-0.200423\pi\) |
−0.914085 | + | 0.405523i | \(0.867089\pi\) | |||||||
\(200\) | −30.2947 | + | 30.2947i | −2.14216 | + | 2.14216i | ||||
\(201\) | −2.17304 | + | 8.10989i | −0.153274 | + | 0.572027i | ||||
\(202\) | −17.0585 | − | 4.57081i | −1.20023 | − | 0.321601i | ||||
\(203\) | −18.5993 | − | 5.12739i | −1.30541 | − | 0.359872i | ||||
\(204\) | −6.22567 | − | 10.7832i | −0.435884 | − | 0.754973i | ||||
\(205\) | 4.14152 | + | 2.39111i | 0.289256 | + | 0.167002i | ||||
\(206\) | −6.02704 | − | 22.4932i | −0.419923 | − | 1.56718i | ||||
\(207\) | 0.556448i | 0.0386758i | ||||||||
\(208\) | −52.1705 | + | 11.9231i | −3.61737 | + | 0.826715i | ||||
\(209\) | − | 2.77332i | − | 0.191835i | ||||||
\(210\) | 15.6648 | + | 15.8919i | 1.08097 | + | 1.09664i | ||||
\(211\) | 3.61160 | − | 6.25548i | 0.248633 | − | 0.430645i | −0.714514 | − | 0.699621i | \(-0.753352\pi\) |
0.963147 | + | 0.268976i | \(0.0866853\pi\) | |||||||
\(212\) | −19.7310 | + | 11.3917i | −1.35513 | + | 0.782384i | ||||
\(213\) | 1.56360 | + | 1.56360i | 0.107136 | + | 0.107136i | ||||
\(214\) | −12.3645 | − | 3.31306i | −0.845222 | − | 0.226476i | ||||
\(215\) | −17.5242 | − | 4.69560i | −1.19514 | − | 0.320237i | ||||
\(216\) | 6.66928 | − | 6.66928i | 0.453787 | − | 0.453787i | ||||
\(217\) | −5.20733 | + | 8.87132i | −0.353496 | + | 0.602224i | ||||
\(218\) | −12.2421 | − | 7.06797i | −0.829138 | − | 0.478703i | ||||
\(219\) | 3.33267 | − | 0.892986i | 0.225201 | − | 0.0603424i | ||||
\(220\) | −7.96457 | −0.536971 | ||||||||
\(221\) | −2.42380 | + | 7.86565i | −0.163043 | + | 0.529101i | ||||
\(222\) | − | 18.1197i | − | 1.21612i | ||||||
\(223\) | 18.5687 | − | 4.97547i | 1.24345 | − | 0.333182i | 0.423649 | − | 0.905827i | \(-0.360749\pi\) |
0.819804 | + | 0.572644i | \(0.194082\pi\) | |||||||
\(224\) | 0.412385 | − | 57.3080i | 0.0275536 | − | 3.82905i | ||||
\(225\) | −3.93385 | + | 2.27121i | −0.262257 | + | 0.151414i | ||||
\(226\) | −17.0345 | + | 17.0345i | −1.13312 | + | 1.13312i | ||||
\(227\) | −3.99587 | + | 14.9128i | −0.265215 | + | 0.989797i | 0.696903 | + | 0.717165i | \(0.254561\pi\) |
−0.962118 | + | 0.272632i | \(0.912106\pi\) | |||||||
\(228\) | −8.28273 | + | 30.9116i | −0.548537 | + | 2.04717i | ||||
\(229\) | −8.38486 | + | 8.38486i | −0.554087 | + | 0.554087i | −0.927618 | − | 0.373531i | \(-0.878147\pi\) |
0.373531 | + | 0.927618i | \(0.378147\pi\) | |||||||
\(230\) | −4.06437 | + | 2.34657i | −0.267997 | + | 0.154728i | ||||
\(231\) | −0.00899919 | + | 1.25059i | −0.000592103 | + | 0.0822830i | ||||
\(232\) | −66.4341 | + | 17.8010i | −4.36161 | + | 1.16869i | ||||
\(233\) | 19.9540i | 1.30723i | 0.756828 | + | 0.653614i | \(0.226748\pi\) | ||||
−0.756828 | + | 0.653614i | \(0.773252\pi\) | |||||||
\(234\) | −9.83743 | − | 0.365313i | −0.643093 | − | 0.0238812i | ||||
\(235\) | 28.6241 | 1.86723 | ||||||||
\(236\) | 77.8796 | − | 20.8678i | 5.06953 | − | 1.35838i | ||||
\(237\) | 10.2203 | + | 5.90068i | 0.663878 | + | 0.383290i | ||||
\(238\) | −14.2210 | − | 8.34753i | −0.921812 | − | 0.541090i | ||||
\(239\) | −5.27726 | + | 5.27726i | −0.341357 | + | 0.341357i | −0.856877 | − | 0.515520i | \(-0.827599\pi\) |
0.515520 | + | 0.856877i | \(0.327599\pi\) | |||||||
\(240\) | 44.2876 | + | 11.8668i | 2.85875 | + | 0.766000i | ||||
\(241\) | 8.35123 | + | 2.23771i | 0.537950 | + | 0.144143i | 0.517557 | − | 0.855649i | \(-0.326842\pi\) |
0.0203932 | + | 0.999792i | \(0.493508\pi\) | |||||||
\(242\) | 20.8053 | + | 20.8053i | 1.33742 | + | 1.33742i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −1.74375 | + | 3.02026i | −0.111632 | + | 0.193352i | ||||
\(245\) | 20.8041 | + | 5.89659i | 1.32912 | + | 0.376720i | ||||
\(246\) | − | 4.22677i | − | 0.269489i | ||||||
\(247\) | 18.6998 | − | 9.88990i | 1.18984 | − | 0.629280i | ||||
\(248\) | 36.6709i | 2.32861i | ||||||||
\(249\) | 0.661811 | + | 2.46991i | 0.0419406 | + | 0.156524i | ||||
\(250\) | 3.34225 | + | 1.92965i | 0.211382 | + | 0.122042i | ||||
\(251\) | 8.48610 | + | 14.6984i | 0.535638 | + | 0.927752i | 0.999132 | + | 0.0416520i | \(0.0132621\pi\) |
−0.463494 | + | 0.886100i | \(0.653405\pi\) | |||||||
\(252\) | 3.83529 | − | 13.9123i | 0.241601 | − | 0.876391i | ||||
\(253\) | −0.254066 | − | 0.0680768i | −0.0159730 | − | 0.00427995i | ||||
\(254\) | 6.79257 | − | 25.3502i | 0.426204 | − | 1.59061i | ||||
\(255\) | 4.98627 | − | 4.98627i | 0.312252 | − | 0.312252i | ||||
\(256\) | −21.1921 | − | 36.7057i | −1.32450 | − | 2.29411i | ||||
\(257\) | 3.36830 | − | 5.83406i | 0.210109 | − | 0.363919i | −0.741640 | − | 0.670798i | \(-0.765952\pi\) |
0.951748 | + | 0.306880i | \(0.0992849\pi\) | |||||||
\(258\) | 4.15022 | + | 15.4888i | 0.258381 | + | 0.964293i | ||||
\(259\) | −8.66968 | − | 15.2690i | −0.538708 | − | 0.948771i | ||||
\(260\) | −28.4023 | − | 53.7032i | −1.76144 | − | 3.33053i | ||||
\(261\) | −7.29211 | −0.451370 | ||||||||
\(262\) | −41.1559 | + | 11.0277i | −2.54262 | + | 0.681294i | ||||
\(263\) | −2.64276 | + | 4.57739i | −0.162960 | + | 0.282254i | −0.935929 | − | 0.352189i | \(-0.885437\pi\) |
0.772969 | + | 0.634443i | \(0.218771\pi\) | |||||||
\(264\) | 2.22917 | + | 3.86103i | 0.137196 | + | 0.237630i | ||||
\(265\) | −9.12383 | − | 9.12383i | −0.560472 | − | 0.560472i | ||||
\(266\) | 10.6744 | + | 41.0156i | 0.654488 | + | 2.51483i | ||||
\(267\) | −0.363443 | + | 1.35639i | −0.0222423 | + | 0.0830095i | ||||
\(268\) | 32.3825 | + | 32.3825i | 1.97808 | + | 1.97808i | ||||
\(269\) | 2.83734 | − | 1.63814i | 0.172995 | − | 0.0998789i | −0.411002 | − | 0.911634i | \(-0.634821\pi\) |
0.583997 | + | 0.811755i | \(0.301488\pi\) | |||||||
\(270\) | 7.30414 | + | 4.21705i | 0.444516 | + | 0.256641i | ||||
\(271\) | 3.01677 | + | 11.2587i | 0.183256 | + | 0.683919i | 0.994997 | + | 0.0999024i | \(0.0318531\pi\) |
−0.811742 | + | 0.584017i | \(0.801480\pi\) | |||||||
\(272\) | −33.8821 | −2.05440 | ||||||||
\(273\) | −8.46454 | + | 4.39904i | −0.512297 | + | 0.266242i | ||||
\(274\) | −53.1036 | −3.20811 | ||||||||
\(275\) | −0.555727 | − | 2.07400i | −0.0335116 | − | 0.125067i | ||||
\(276\) | 2.62851 | + | 1.51757i | 0.158218 | + | 0.0913471i | ||||
\(277\) | 3.66204 | − | 2.11428i | 0.220031 | − | 0.127035i | −0.385934 | − | 0.922526i | \(-0.626121\pi\) |
0.605964 | + | 0.795492i | \(0.292787\pi\) | |||||||
\(278\) | −10.8146 | − | 10.8146i | −0.648618 | − | 0.648618i | ||||
\(279\) | −1.00629 | + | 3.75553i | −0.0602451 | + | 0.224838i | ||||
\(280\) | 74.6005 | − | 19.4149i | 4.45823 | − | 1.16026i | ||||
\(281\) | 18.2360 | + | 18.2360i | 1.08787 | + | 1.08787i | 0.995748 | + | 0.0921208i | \(0.0293646\pi\) |
0.0921208 | + | 0.995748i | \(0.470635\pi\) | |||||||
\(282\) | −12.6497 | − | 21.9100i | −0.753280 | − | 1.30472i | ||||
\(283\) | 1.92179 | − | 3.32864i | 0.114239 | − | 0.197867i | −0.803236 | − | 0.595660i | \(-0.796890\pi\) |
0.917475 | + | 0.397793i | \(0.130224\pi\) | |||||||
\(284\) | 11.6503 | − | 3.12170i | 0.691320 | − | 0.185239i | ||||
\(285\) | −18.1239 | −1.07357 | ||||||||
\(286\) | 1.37032 | − | 4.44693i | 0.0810290 | − | 0.262953i | ||||
\(287\) | −2.02237 | − | 3.56179i | −0.119377 | − | 0.210246i | ||||
\(288\) | −5.60626 | − | 20.9229i | −0.330352 | − | 1.23289i | ||||
\(289\) | 5.89449 | − | 10.2096i | 0.346735 | − | 0.600562i | ||||
\(290\) | −30.7512 | − | 53.2626i | −1.80577 | − | 3.12768i | ||||
\(291\) | 8.87931 | − | 8.87931i | 0.520514 | − | 0.520514i | ||||
\(292\) | 4.87079 | − | 18.1780i | 0.285041 | − | 1.06379i | ||||
\(293\) | −28.6306 | − | 7.67154i | −1.67262 | − | 0.448176i | −0.706802 | − | 0.707412i | \(-0.749863\pi\) |
−0.965814 | + | 0.259236i | \(0.916529\pi\) | |||||||
\(294\) | −4.68038 | − | 18.5301i | −0.272965 | − | 1.08070i | ||||
\(295\) | 22.8310 | + | 39.5444i | 1.32927 | + | 2.30236i | ||||
\(296\) | −54.2085 | − | 31.2973i | −3.15080 | − | 1.81912i | ||||
\(297\) | 0.122342 | + | 0.456585i | 0.00709899 | + | 0.0264938i | ||||
\(298\) | 54.1539i | 3.13705i | ||||||||
\(299\) | −0.446995 | − | 1.95587i | −0.0258504 | − | 0.113111i | ||||
\(300\) | 24.7766i | 1.43048i | ||||||||
\(301\) | 10.9082 | + | 11.0663i | 0.628737 | + | 0.637851i | ||||
\(302\) | 1.22990 | − | 2.13025i | 0.0707727 | − | 0.122582i | ||||
\(303\) | −5.60168 | + | 3.23413i | −0.321808 | + | 0.185796i | ||||
\(304\) | 61.5766 | + | 61.5766i | 3.53166 | + | 3.53166i | ||||
\(305\) | −1.90780 | − | 0.511192i | −0.109240 | − | 0.0292708i | ||||
\(306\) | −6.02025 | − | 1.61312i | −0.344155 | − | 0.0922159i | ||||
\(307\) | 20.2018 | − | 20.2018i | 1.15298 | − | 1.15298i | 0.167023 | − | 0.985953i | \(-0.446584\pi\) |
0.985953 | − | 0.167023i | \(-0.0534155\pi\) | |||||||
\(308\) | 5.88293 | + | 3.45319i | 0.335211 | + | 0.196764i | ||||
\(309\) | −7.38633 | − | 4.26450i | −0.420194 | − | 0.242599i | ||||
\(310\) | −31.6745 | + | 8.48716i | −1.79899 | + | 0.482038i | ||||
\(311\) | −24.6309 | −1.39669 | −0.698345 | − | 0.715762i | \(-0.746080\pi\) | ||||
−0.698345 | + | 0.715762i | \(0.746080\pi\) | |||||||
\(312\) | −18.0846 | + | 28.7995i | −1.02384 | + | 1.63045i | ||||
\(313\) | − | 8.19304i | − | 0.463098i | −0.972823 | − | 0.231549i | \(-0.925621\pi\) | ||
0.972823 | − | 0.231549i | \(-0.0743794\pi\) | |||||||
\(314\) | −0.280560 | + | 0.0751759i | −0.0158329 | + | 0.00424242i | ||||
\(315\) | 8.17273 | + | 0.0588104i | 0.460481 | + | 0.00331359i | ||||
\(316\) | 55.7465 | − | 32.1852i | 3.13598 | − | 1.81056i | ||||
\(317\) | 6.24432 | − | 6.24432i | 0.350716 | − | 0.350716i | −0.509660 | − | 0.860376i | \(-0.670229\pi\) |
0.860376 | + | 0.509660i | \(0.170229\pi\) | |||||||
\(318\) | −2.95167 | + | 11.0158i | −0.165522 | + | 0.617735i | ||||
\(319\) | 0.892129 | − | 3.32947i | 0.0499496 | − | 0.186414i | ||||
\(320\) | 64.3402 | − | 64.3402i | 3.59672 | − | 3.59672i | ||||
\(321\) | −4.06027 | + | 2.34420i | −0.226622 | + | 0.130840i | ||||
\(322\) | 4.01949 | + | 0.0289240i | 0.223998 | + | 0.00161187i | ||||
\(323\) | 12.9368 | − | 3.46641i | 0.719823 | − | 0.192876i | ||||
\(324\) | − | 5.45450i | − | 0.303028i | ||||||
\(325\) | 12.0027 | − | 11.1432i | 0.665791 | − | 0.618113i | ||||
\(326\) | −39.1323 | −2.16734 | ||||||||
\(327\) | −5.00102 | + | 1.34002i | −0.276557 | + | 0.0741033i | ||||
\(328\) | −12.6452 | − | 7.30069i | −0.698213 | − | 0.403113i | ||||
\(329\) | −21.1428 | − | 12.4105i | −1.16564 | − | 0.684213i | ||||
\(330\) | −2.81904 | + | 2.81904i | −0.155183 | + | 0.155183i | ||||
\(331\) | −28.6185 | − | 7.66830i | −1.57301 | − | 0.421488i | −0.636260 | − | 0.771475i | \(-0.719519\pi\) |
−0.936755 | + | 0.349987i | \(0.886186\pi\) | |||||||
\(332\) | 13.4721 | + | 3.60985i | 0.739379 | + | 0.198116i | ||||
\(333\) | −4.69275 | − | 4.69275i | −0.257161 | − | 0.257161i | ||||
\(334\) | 33.4413 | − | 19.3074i | 1.82983 | − | 1.05645i | ||||
\(335\) | −12.9679 | + | 22.4611i | −0.708513 | + | 1.22718i | ||||
\(336\) | −27.5674 | − | 27.9670i | −1.50392 | − | 1.52572i | ||||
\(337\) | − | 24.6356i | − | 1.34198i | −0.741464 | − | 0.670992i | \(-0.765868\pi\) | ||
0.741464 | − | 0.670992i | \(-0.234132\pi\) | |||||||
\(338\) | 34.8713 | − | 6.61838i | 1.89675 | − | 0.359992i | ||||
\(339\) | 8.82339i | 0.479221i | ||||||||
\(340\) | −9.95501 | − | 37.1526i | −0.539886 | − | 2.01488i | ||||
\(341\) | −1.59161 | − | 0.918916i | −0.0861905 | − | 0.0497621i | ||||
\(342\) | 8.00943 | + | 13.8727i | 0.433100 | + | 0.750151i | ||||
\(343\) | −12.8101 | − | 13.3754i | −0.691679 | − | 0.722205i | ||||
\(344\) | 53.5062 | + | 14.3369i | 2.88486 | + | 0.772996i | ||||
\(345\) | −0.444887 | + | 1.66034i | −0.0239519 | + | 0.0893898i | ||||
\(346\) | 0.804681 | − | 0.804681i | 0.0432599 | − | 0.0432599i | ||||
\(347\) | −6.69623 | − | 11.5982i | −0.359472 | − | 0.622624i | 0.628401 | − | 0.777890i | \(-0.283710\pi\) |
−0.987873 | + | 0.155266i | \(0.950377\pi\) | |||||||
\(348\) | −19.8874 | + | 34.4460i | −1.06608 | + | 1.84650i | ||||
\(349\) | −2.72247 | − | 10.1604i | −0.145730 | − | 0.543874i | −0.999722 | − | 0.0235863i | \(-0.992492\pi\) |
0.853991 | − | 0.520287i | \(-0.174175\pi\) | |||||||
\(350\) | 16.2016 | + | 28.5342i | 0.866010 | + | 1.52522i | ||||
\(351\) | −2.64236 | + | 2.45314i | −0.141039 | + | 0.130939i | ||||
\(352\) | 10.2390 | 0.545738 | ||||||||
\(353\) | −14.9904 | + | 4.01667i | −0.797859 | + | 0.213786i | −0.634644 | − | 0.772805i | \(-0.718853\pi\) |
−0.163215 | + | 0.986590i | \(0.552187\pi\) | |||||||
\(354\) | 20.1792 | − | 34.9514i | 1.07251 | − | 1.85765i | ||||
\(355\) | 3.41538 | + | 5.91561i | 0.181270 | + | 0.313968i | ||||
\(356\) | 5.41601 | + | 5.41601i | 0.287048 | + | 0.287048i | ||||
\(357\) | −5.84493 | + | 1.52115i | −0.309347 | + | 0.0805079i | ||||
\(358\) | 7.34206 | − | 27.4009i | 0.388040 | − | 1.44818i | ||||
\(359\) | −7.20920 | − | 7.20920i | −0.380487 | − | 0.380487i | 0.490791 | − | 0.871278i | \(-0.336708\pi\) |
−0.871278 | + | 0.490791i | \(0.836708\pi\) | |||||||
\(360\) | 25.2321 | − | 14.5678i | 1.32985 | − | 0.767790i | ||||
\(361\) | −13.3564 | − | 7.71133i | −0.702969 | − | 0.405859i | ||||
\(362\) | 15.1564 | + | 56.5645i | 0.796604 | + | 2.97297i | ||||
\(363\) | 10.7766 | 0.565623 | ||||||||
\(364\) | −2.30500 | + | 51.9815i | −0.120815 | + | 2.72457i | ||||
\(365\) | 10.6580 | 0.557868 | ||||||||
\(366\) | 0.451819 | + | 1.68621i | 0.0236169 | + | 0.0881397i | ||||
\(367\) | 13.1818 | + | 7.61053i | 0.688085 | + | 0.397266i | 0.802894 | − | 0.596121i | \(-0.203292\pi\) |
−0.114809 | + | 0.993388i | \(0.536626\pi\) | |||||||
\(368\) | 7.15260 | − | 4.12955i | 0.372855 | − | 0.215268i | ||||
\(369\) | −1.09467 | − | 1.09467i | −0.0569864 | − | 0.0569864i | ||||
\(370\) | 14.4870 | − | 54.0660i | 0.753141 | − | 2.81076i | ||||
\(371\) | 2.78339 | + | 10.6950i | 0.144506 | + | 0.555257i | ||||
\(372\) | 14.9957 | + | 14.9957i | 0.777492 | + | 0.777492i | ||||
\(373\) | 16.3260 | + | 28.2774i | 0.845326 | + | 1.46415i | 0.885338 | + | 0.464948i | \(0.153927\pi\) |
−0.0400122 | + | 0.999199i | \(0.512740\pi\) | |||||||
\(374\) | 1.47305 | − | 2.55141i | 0.0761698 | − | 0.131930i | ||||
\(375\) | 1.36534 | − | 0.365843i | 0.0705061 | − | 0.0188921i | ||||
\(376\) | −87.3969 | −4.50715 | ||||||||
\(377\) | 25.6312 | − | 5.85776i | 1.32007 | − | 0.301690i | ||||
\(378\) | −3.56673 | − | 6.28171i | −0.183453 | − | 0.323097i | ||||
\(379\) | 6.47610 | + | 24.1691i | 0.332655 | + | 1.24149i | 0.906389 | + | 0.422444i | \(0.138828\pi\) |
−0.573734 | + | 0.819042i | \(0.694506\pi\) | |||||||
\(380\) | −49.4284 | + | 85.6124i | −2.53562 | + | 4.39183i | ||||
\(381\) | −4.80617 | − | 8.32452i | −0.246227 | − | 0.426478i | ||||
\(382\) | 0.429428 | − | 0.429428i | 0.0219714 | − | 0.0219714i | ||||
\(383\) | −4.70967 | + | 17.5767i | −0.240653 | + | 0.898129i | 0.734866 | + | 0.678213i | \(0.237245\pi\) |
−0.975519 | + | 0.219917i | \(0.929421\pi\) | |||||||
\(384\) | −35.8364 | − | 9.60232i | −1.82877 | − | 0.490017i | ||||
\(385\) | −1.02672 | + | 3.72435i | −0.0523264 | + | 0.189811i | ||||
\(386\) | 2.80129 | + | 4.85198i | 0.142582 | + | 0.246959i | ||||
\(387\) | 5.08624 | + | 2.93654i | 0.258548 | + | 0.149273i | ||||
\(388\) | −17.7274 | − | 66.1596i | −0.899973 | − | 3.35874i | ||||
\(389\) | − | 6.12739i | − | 0.310671i | −0.987862 | − | 0.155336i | \(-0.950354\pi\) | ||
0.987862 | − | 0.155336i | \(-0.0496459\pi\) | |||||||
\(390\) | −29.0611 | − | 8.95518i | −1.47156 | − | 0.453463i | ||||
\(391\) | − | 1.27024i | − | 0.0642388i | ||||||
\(392\) | −63.5204 | − | 18.0039i | −3.20826 | − | 0.909334i | ||||
\(393\) | −7.80278 | + | 13.5148i | −0.393598 | + | 0.681732i | ||||
\(394\) | 31.1417 | − | 17.9797i | 1.56890 | − | 0.905803i | ||||
\(395\) | 25.7778 | + | 25.7778i | 1.29702 | + | 1.29702i | ||||
\(396\) | 2.49044 | + | 0.667313i | 0.125150 | + | 0.0335337i | ||||
\(397\) | 12.7566 | + | 3.41813i | 0.640237 | + | 0.171551i | 0.564311 | − | 0.825563i | \(-0.309142\pi\) |
0.0759261 | + | 0.997113i | \(0.475809\pi\) | |||||||
\(398\) | −5.76549 | + | 5.76549i | −0.288998 | + | 0.288998i | ||||
\(399\) | 13.3870 | + | 7.85795i | 0.670187 | + | 0.393390i | ||||
\(400\) | 58.3884 | + | 33.7105i | 2.91942 | + | 1.68553i | ||||
\(401\) | −4.95448 | + | 1.32755i | −0.247415 | + | 0.0662946i | −0.380395 | − | 0.924824i | \(-0.624212\pi\) |
0.132980 | + | 0.991119i | \(0.457545\pi\) | |||||||
\(402\) | 22.9235 | 1.14332 | ||||||||
\(403\) | 0.520216 | − | 14.0088i | 0.0259138 | − | 0.697827i | ||||
\(404\) | 35.2811i | 1.75530i | ||||||||
\(405\) | 2.98382 | − | 0.799513i | 0.148267 | − | 0.0397281i | ||||
\(406\) | −0.379042 | + | 52.6744i | −0.0188115 | + | 2.61419i | ||||
\(407\) | 2.71676 | − | 1.56852i | 0.134665 | − | 0.0777488i | ||||
\(408\) | −15.2244 | + | 15.2244i | −0.753721 | + | 0.753721i | ||||
\(409\) | −4.13326 | + | 15.4255i | −0.204377 | + | 0.762744i | 0.785262 | + | 0.619164i | \(0.212528\pi\) |
−0.989639 | + | 0.143580i | \(0.954138\pi\) | |||||||
\(410\) | 3.37936 | − | 12.6119i | 0.166895 | − | 0.622859i | ||||
\(411\) | −13.7531 | + | 13.7531i | −0.678389 | + | 0.678389i | ||||
\(412\) | −40.2887 | + | 23.2607i | −1.98488 | + | 1.14597i | ||||
\(413\) | 0.281417 | − | 39.1078i | 0.0138476 | − | 1.92437i | ||||
\(414\) | 1.46750 | − | 0.393215i | 0.0721236 | − | 0.0193254i | ||||
\(415\) | 7.89891i | 0.387742i | ||||||||
\(416\) | 36.5130 | + | 69.0388i | 1.79020 | + | 3.38491i | ||||
\(417\) | −5.60167 | −0.274315 | ||||||||
\(418\) | −7.31398 | + | 1.95977i | −0.357738 | + | 0.0958557i | ||||
\(419\) | 12.6468 | + | 7.30162i | 0.617836 | + | 0.356708i | 0.776026 | − | 0.630701i | \(-0.217233\pi\) |
−0.158190 | + | 0.987409i | \(0.550566\pi\) | |||||||
\(420\) | 22.5669 | − | 38.4454i | 1.10115 | − | 1.87594i | ||||
\(421\) | 2.04328 | − | 2.04328i | 0.0995835 | − | 0.0995835i | −0.655560 | − | 0.755143i | \(-0.727567\pi\) |
0.755143 | + | 0.655560i | \(0.227567\pi\) | |||||||
\(422\) | −19.0495 | − | 5.10429i | −0.927314 | − | 0.248473i | ||||
\(423\) | −8.95047 | − | 2.39827i | −0.435187 | − | 0.116608i | ||||
\(424\) | 27.8575 | + | 27.8575i | 1.35288 | + | 1.35288i | ||||
\(425\) | 8.98005 | − | 5.18464i | 0.435597 | − | 0.251492i | ||||
\(426\) | 3.01869 | − | 5.22853i | 0.146256 | − | 0.253323i | ||||
\(427\) | 1.18753 | + | 1.20475i | 0.0574687 | + | 0.0583018i | ||||
\(428\) | 25.5729i | 1.23611i | ||||||||
\(429\) | −0.796798 | − | 1.50659i | −0.0384698 | − | 0.0727387i | ||||
\(430\) | 49.5341i | 2.38875i | ||||||||
\(431\) | 2.83206 | + | 10.5694i | 0.136416 | + | 0.509110i | 0.999988 | + | 0.00488525i | \(0.00155503\pi\) |
−0.863572 | + | 0.504225i | \(0.831778\pi\) | |||||||
\(432\) | −12.8540 | − | 7.42128i | −0.618440 | − | 0.357056i | ||||
\(433\) | −17.9201 | − | 31.0385i | −0.861184 | − | 1.49161i | −0.870787 | − | 0.491660i | \(-0.836390\pi\) |
0.00960365 | − | 0.999954i | \(-0.496943\pi\) | |||||||
\(434\) | 27.0757 | + | 7.46415i | 1.29968 | + | 0.358291i | ||||
\(435\) | −21.7583 | − | 5.83013i | −1.04323 | − | 0.279533i | ||||
\(436\) | −7.30914 | + | 27.2781i | −0.350044 | + | 1.30638i | ||||
\(437\) | −2.30851 | + | 2.30851i | −0.110431 | + | 0.110431i | ||||
\(438\) | −4.71007 | − | 8.15808i | −0.225056 | − | 0.389808i | ||||
\(439\) | 0.772225 | − | 1.33753i | 0.0368563 | − | 0.0638369i | −0.847009 | − | 0.531579i | \(-0.821599\pi\) |
0.883865 | + | 0.467742i | \(0.154932\pi\) | |||||||
\(440\) | 3.56449 | + | 13.3029i | 0.169931 | + | 0.634190i | ||||
\(441\) | −6.01118 | − | 3.58688i | −0.286247 | − | 0.170804i | ||||
\(442\) | 22.4565 | + | 0.833923i | 1.06815 | + | 0.0396657i | ||||
\(443\) | −16.1657 | −0.768055 | −0.384027 | − | 0.923322i | \(-0.625463\pi\) | ||||
−0.384027 | + | 0.923322i | \(0.625463\pi\) | |||||||
\(444\) | −34.9656 | + | 9.36900i | −1.65939 | + | 0.444633i | ||||
\(445\) | −2.16890 | + | 3.75664i | −0.102816 | + | 0.178082i | ||||
\(446\) | −26.2432 | − | 45.4546i | −1.24265 | − | 2.15234i | ||||
\(447\) | 14.0251 | + | 14.0251i | 0.663364 | + | 0.663364i | ||||
\(448\) | −75.4199 | + | 19.6281i | −3.56326 | + | 0.927343i | ||||
\(449\) | −3.96795 | + | 14.8086i | −0.187259 | + | 0.698861i | 0.806876 | + | 0.590720i | \(0.201156\pi\) |
−0.994136 | + | 0.108140i | \(0.965510\pi\) | |||||||
\(450\) | 8.76963 | + | 8.76963i | 0.413404 | + | 0.413404i | ||||
\(451\) | 0.633736 | − | 0.365888i | 0.0298415 | − | 0.0172290i | ||||
\(452\) | 41.6793 | + | 24.0636i | 1.96043 | + | 1.13186i | ||||
\(453\) | −0.233177 | − | 0.870230i | −0.0109556 | − | 0.0408870i | ||||
\(454\) | 42.1526 | 1.97832 | ||||||||
\(455\) | −28.7738 | + | 6.35845i | −1.34894 | + | 0.298089i | ||||
\(456\) | 55.3371 | 2.59140 | ||||||||
\(457\) | −7.14198 | − | 26.6542i | −0.334088 | − | 1.24683i | −0.904855 | − | 0.425720i | \(-0.860021\pi\) |
0.570767 | − | 0.821112i | \(-0.306646\pi\) | |||||||
\(458\) | 28.0382 | + | 16.1879i | 1.31014 | + | 0.756410i | ||||
\(459\) | −1.97693 | + | 1.14138i | −0.0922753 | + | 0.0532752i | ||||
\(460\) | 6.62969 | + | 6.62969i | 0.309111 | + | 0.309111i | ||||
\(461\) | −0.630674 | + | 2.35371i | −0.0293734 | + | 0.109623i | −0.979056 | − | 0.203590i | \(-0.934739\pi\) |
0.949683 | + | 0.313214i | \(0.101406\pi\) | |||||||
\(462\) | 3.30450 | − | 0.860001i | 0.153739 | − | 0.0400109i | ||||
\(463\) | −15.9059 | − | 15.9059i | −0.739208 | − | 0.739208i | 0.233216 | − | 0.972425i | \(-0.425075\pi\) |
−0.972425 | + | 0.233216i | \(0.925075\pi\) | |||||||
\(464\) | 54.1167 | + | 93.7330i | 2.51231 | + | 4.35144i | ||||
\(465\) | −6.00519 | + | 10.4013i | −0.278484 | + | 0.482349i | ||||
\(466\) | 52.6238 | − | 14.1005i | 2.43775 | − | 0.653193i | ||||
\(467\) | −6.66294 | −0.308324 | −0.154162 | − | 0.988046i | \(-0.549268\pi\) | ||||
−0.154162 | + | 0.988046i | \(0.549268\pi\) | |||||||
\(468\) | 4.38161 | + | 19.1722i | 0.202540 | + | 0.886233i | ||||
\(469\) | 19.3170 | − | 10.9681i | 0.891977 | − | 0.506460i | ||||
\(470\) | −20.2272 | − | 75.4891i | −0.933013 | − | 3.48205i | ||||
\(471\) | −0.0531916 | + | 0.0921305i | −0.00245094 | + | 0.00424515i | ||||
\(472\) | −69.7091 | − | 120.740i | −3.20862 | − | 5.55750i | ||||
\(473\) | −1.96304 | + | 1.96304i | −0.0902607 | + | 0.0902607i | ||||
\(474\) | 8.33945 | − | 31.1232i | 0.383044 | − | 1.42954i | ||||
\(475\) | −25.7426 | − | 6.89772i | −1.18115 | − | 0.316489i | ||||
\(476\) | −8.75507 | + | 31.7585i | −0.401288 | + | 1.45565i | ||||
\(477\) | 2.08849 | + | 3.61738i | 0.0956255 | + | 0.165628i | ||||
\(478\) | 17.6467 | + | 10.1883i | 0.807140 | + | 0.466003i | ||||
\(479\) | −5.91010 | − | 22.0568i | −0.270039 | − | 1.00780i | −0.959093 | − | 0.283090i | \(-0.908640\pi\) |
0.689054 | − | 0.724710i | \(-0.258026\pi\) | |||||||
\(480\) | − | 66.9124i | − | 3.05412i | ||||||
\(481\) | 20.2644 | + | 12.7250i | 0.923975 | + | 0.580209i | ||||
\(482\) | − | 23.6057i | − | 1.07521i | ||||||
\(483\) | 1.04848 | − | 1.03350i | 0.0477076 | − | 0.0470259i | ||||
\(484\) | 29.3904 | − | 50.9056i | 1.33593 | − | 2.31389i | ||||
\(485\) | 33.5934 | − | 19.3952i | 1.52540 | − | 0.880689i | ||||
\(486\) | −1.93061 | − | 1.93061i | −0.0875742 | − | 0.0875742i | ||||
\(487\) | 12.0330 | + | 3.22424i | 0.545269 | + | 0.146104i | 0.520930 | − | 0.853600i | \(-0.325585\pi\) |
0.0243387 | + | 0.999704i | \(0.492252\pi\) | |||||||
\(488\) | 5.82501 | + | 1.56081i | 0.263686 | + | 0.0706544i | ||||
\(489\) | −10.1347 | + | 10.1347i | −0.458307 | + | 0.458307i | ||||
\(490\) | 0.849633 | − | 59.0325i | 0.0383825 | − | 2.66682i | ||||
\(491\) | −16.7889 | − | 9.69310i | −0.757674 | − | 0.437443i | 0.0707859 | − | 0.997492i | \(-0.477449\pi\) |
−0.828460 | + | 0.560048i | \(0.810783\pi\) | |||||||
\(492\) | −8.15640 | + | 2.18550i | −0.367719 | + | 0.0985299i | ||||
\(493\) | 16.6462 | 0.749706 | ||||||||
\(494\) | −39.2965 | − | 42.3276i | −1.76803 | − | 1.90441i | ||||
\(495\) | 1.46018i | 0.0656304i | ||||||||
\(496\) | 55.7417 | − | 14.9359i | 2.50288 | − | 0.670644i | ||||
\(497\) | 0.0420983 | − | 5.85029i | 0.00188837 | − | 0.262421i | ||||
\(498\) | 6.04613 | − | 3.49074i | 0.270934 | − | 0.156424i | ||||
\(499\) | −24.6585 | + | 24.6585i | −1.10386 | + | 1.10386i | −0.109925 | + | 0.993940i | \(0.535061\pi\) |
−0.993940 | + | 0.109925i | \(0.964939\pi\) | |||||||
\(500\) | 1.99549 | − | 7.44727i | 0.0892410 | − | 0.333052i | ||||
\(501\) | 3.66050 | − | 13.6612i | 0.163539 | − | 0.610335i | ||||
\(502\) | 32.7667 | − | 32.7667i | 1.46245 | − | 1.46245i | ||||
\(503\) | 27.3019 | − | 15.7627i | 1.21733 | − | 0.702826i | 0.252984 | − | 0.967470i | \(-0.418588\pi\) |
0.964346 | + | 0.264644i | \(0.0852546\pi\) | |||||||
\(504\) | −24.9535 | − | 0.179564i | −1.11152 | − | 0.00799842i | ||||
\(505\) | −19.3001 | + | 5.17146i | −0.858845 | + | 0.230127i | ||||
\(506\) | 0.718145i | 0.0319254i | ||||||||
\(507\) | 7.31710 | − | 10.7452i | 0.324964 | − | 0.477213i | ||||
\(508\) | −52.4305 | −2.32623 | ||||||||
\(509\) | −3.80510 | + | 1.01957i | −0.168658 | + | 0.0451918i | −0.342160 | − | 0.939642i | \(-0.611158\pi\) |
0.173502 | + | 0.984834i | \(0.444492\pi\) | |||||||
\(510\) | −16.6736 | − | 9.62653i | −0.738321 | − | 0.426270i | ||||
\(511\) | −7.87243 | − | 4.62100i | −0.348256 | − | 0.204421i | ||||
\(512\) | −29.3590 | + | 29.3590i | −1.29750 | + | 1.29750i | ||||
\(513\) | 5.66717 | + | 1.51851i | 0.250212 | + | 0.0670440i | ||||
\(514\) | −17.7662 | − | 4.76043i | −0.783632 | − | 0.209973i | ||||
\(515\) | −18.6300 | − | 18.6300i | −0.820935 | − | 0.820935i | ||||
\(516\) | 27.7429 | − | 16.0173i | 1.22131 | − | 0.705124i | ||||
\(517\) | 2.19003 | − | 3.79325i | 0.0963175 | − | 0.166827i | ||||
\(518\) | −34.1419 | + | 33.6541i | −1.50011 | + | 1.47868i | ||||
\(519\) | − | 0.416802i | − | 0.0182956i | ||||||
\(520\) | −76.9868 | + | 71.4737i | −3.37609 | + | 3.13433i | ||||
\(521\) | − | 7.46834i | − | 0.327194i | −0.986527 | − | 0.163597i | \(-0.947690\pi\) | ||
0.986527 | − | 0.163597i | \(-0.0523097\pi\) | |||||||
\(522\) | 5.15298 | + | 19.2312i | 0.225540 | + | 0.841726i | ||||
\(523\) | 10.8561 | + | 6.26775i | 0.474703 | + | 0.274070i | 0.718206 | − | 0.695830i | \(-0.244963\pi\) |
−0.243504 | + | 0.969900i | \(0.578297\pi\) | |||||||
\(524\) | 42.5603 | + | 73.7166i | 1.85925 | + | 3.22032i | ||||
\(525\) | 11.5859 | + | 3.19397i | 0.505651 | + | 0.139396i | ||||
\(526\) | 13.9393 | + | 3.73502i | 0.607782 | + | 0.162855i | ||||
\(527\) | 2.29713 | − | 8.57300i | 0.100064 | − | 0.373446i | ||||
\(528\) | 4.96103 | − | 4.96103i | 0.215901 | − | 0.215901i | ||||
\(529\) | −11.3452 | − | 19.6504i | −0.493269 | − | 0.854367i | ||||
\(530\) | −17.6145 | + | 30.5093i | −0.765127 | + | 1.32524i | ||||
\(531\) | −3.82579 | − | 14.2781i | −0.166025 | − | 0.619615i | ||||
\(532\) | 73.6285 | − | 41.8059i | 3.19220 | − | 1.81252i | ||||
\(533\) | 4.72705 | + | 2.96834i | 0.204751 | + | 0.128573i | ||||
\(534\) | 3.83397 | 0.165912 | ||||||||
\(535\) | −13.9893 | + | 3.74843i | −0.604812 | + | 0.162059i | ||||
\(536\) | 39.5945 | − | 68.5797i | 1.71022 | − | 2.96219i | ||||
\(537\) | −5.19496 | − | 8.99794i | −0.224179 | − | 0.388290i | ||||
\(538\) | −6.32520 | − | 6.32520i | −0.272699 | − | 0.272699i | ||||
\(539\) | 2.37314 | − | 2.30579i | 0.102218 | − | 0.0993175i | ||||
\(540\) | 4.36094 | − | 16.2753i | 0.187665 | − | 0.700375i | ||||
\(541\) | −2.43106 | − | 2.43106i | −0.104519 | − | 0.104519i | 0.652913 | − | 0.757433i | \(-0.273547\pi\) |
−0.757433 | + | 0.652913i | \(0.773547\pi\) | |||||||
\(542\) | 27.5604 | − | 15.9120i | 1.18382 | − | 0.683479i | ||||
\(543\) | 18.5747 | + | 10.7241i | 0.797117 | + | 0.460216i | ||||
\(544\) | 12.7978 | + | 47.7620i | 0.548701 | + | 2.04778i | ||||
\(545\) | −15.9935 | −0.685088 | ||||||||
\(546\) | 17.5829 | + | 19.2146i | 0.752479 | + | 0.822309i | ||||
\(547\) | 28.6604 | 1.22543 | 0.612716 | − | 0.790303i | \(-0.290077\pi\) | ||||
0.612716 | + | 0.790303i | \(0.290077\pi\) | |||||||
\(548\) | 27.4578 | + | 102.474i | 1.17294 | + | 4.37747i | ||||
\(549\) | 0.553719 | + | 0.319690i | 0.0236322 | + | 0.0136440i | ||||
\(550\) | −5.07698 | + | 2.93119i | −0.216483 | + | 0.124987i | ||||
\(551\) | −30.2524 | − | 30.2524i | −1.28880 | − | 1.28880i | ||||
\(552\) | 1.35836 | − | 5.06947i | 0.0578156 | − | 0.215771i | ||||
\(553\) | −7.86399 | − | 30.2169i | −0.334411 | − | 1.28495i | ||||
\(554\) | −8.16369 | − | 8.16369i | −0.346842 | − | 0.346842i | ||||
\(555\) | −10.2504 | − | 17.7542i | −0.435106 | − | 0.753626i | ||||
\(556\) | −15.2771 | + | 26.4608i | −0.647895 | + | 1.12219i | ||||
\(557\) | −40.3737 | + | 10.8181i | −1.71069 | + | 0.458378i | −0.975594 | − | 0.219584i | \(-0.929530\pi\) |
−0.735097 | + | 0.677962i | \(0.762863\pi\) | |||||||
\(558\) | 10.6154 | 0.449386 | ||||||||
\(559\) | −20.2367 | − | 6.23594i | −0.855920 | − | 0.263752i | ||||
\(560\) | −59.8961 | − | 105.489i | −2.53107 | − | 4.45772i | ||||
\(561\) | −0.279277 | − | 1.04228i | −0.0117911 | − | 0.0440050i | ||||
\(562\) | 35.2066 | − | 60.9796i | 1.48510 | − | 2.57227i | ||||
\(563\) | 12.8281 | + | 22.2190i | 0.540641 | + | 0.936418i | 0.998867 | + | 0.0475822i | \(0.0151516\pi\) |
−0.458226 | + | 0.888836i | \(0.651515\pi\) | |||||||
\(564\) | −35.7390 | + | 35.7390i | −1.50488 | + | 1.50488i | ||||
\(565\) | −7.05441 | + | 26.3274i | −0.296781 | + | 1.10760i | ||||
\(566\) | −10.1365 | − | 2.71608i | −0.426070 | − | 0.114165i | ||||
\(567\) | −2.55061 | − | 0.703143i | −0.107115 | − | 0.0295292i | ||||
\(568\) | −10.4281 | − | 18.0620i | −0.437552 | − | 0.757863i | ||||
\(569\) | 20.8100 | + | 12.0147i | 0.872401 | + | 0.503681i | 0.868145 | − | 0.496310i | \(-0.165312\pi\) |
0.00425579 | + | 0.999991i | \(0.498645\pi\) | |||||||
\(570\) | 12.8073 | + | 47.7974i | 0.536438 | + | 2.00201i | ||||
\(571\) | − | 9.57728i | − | 0.400797i | −0.979714 | − | 0.200398i | \(-0.935776\pi\) | ||
0.979714 | − | 0.200398i | \(-0.0642236\pi\) | |||||||
\(572\) | −9.28978 | − | 0.344976i | −0.388425 | − | 0.0144242i | ||||
\(573\) | − | 0.222431i | − | 0.00929220i | ||||||
\(574\) | −7.96426 | + | 7.85046i | −0.332422 | + | 0.327672i | ||||
\(575\) | −1.26381 | + | 2.18898i | −0.0527045 | + | 0.0912868i | ||||
\(576\) | −25.5093 | + | 14.7278i | −1.06289 | + | 0.613658i | ||||
\(577\) | −31.4027 | − | 31.4027i | −1.30731 | − | 1.30731i | −0.923347 | − | 0.383966i | \(-0.874558\pi\) |
−0.383966 | − | 0.923347i | \(-0.625442\pi\) | |||||||
\(578\) | −31.0906 | − | 8.33071i | −1.29320 | − | 0.346512i | ||||
\(579\) | 1.98209 | + | 0.531099i | 0.0823728 | + | 0.0220717i | ||||
\(580\) | −86.8804 | + | 86.8804i | −3.60751 | + | 3.60751i | ||||
\(581\) | 3.42472 | − | 5.83443i | 0.142081 | − | 0.242053i | ||||
\(582\) | −29.6916 | − | 17.1425i | −1.23076 | − | 0.710578i | ||||
\(583\) | −1.90715 | + | 0.511019i | −0.0789861 | + | 0.0211643i | ||||
\(584\) | −32.5419 | −1.34659 | ||||||||
\(585\) | −9.84567 | + | 5.20714i | −0.407068 | + | 0.215289i | ||||
\(586\) | 80.9274i | 3.34308i | ||||||||
\(587\) | 6.09066 | − | 1.63199i | 0.251388 | − | 0.0673593i | −0.130924 | − | 0.991392i | \(-0.541794\pi\) |
0.382312 | + | 0.924033i | \(0.375128\pi\) | |||||||
\(588\) | −33.3375 | + | 18.6129i | −1.37481 | + | 0.767583i | ||||
\(589\) | −19.7552 | + | 11.4056i | −0.813997 | + | 0.469961i | ||||
\(590\) | 88.1553 | − | 88.1553i | 3.62930 | − | 3.62930i | ||||
\(591\) | 3.40878 | − | 12.7217i | 0.140218 | − | 0.523302i | ||||
\(592\) | −25.4945 | + | 95.1470i | −1.04782 | + | 3.91052i | ||||
\(593\) | 27.7021 | − | 27.7021i | 1.13759 | − | 1.13759i | 0.148708 | − | 0.988881i | \(-0.452489\pi\) |
0.988881 | − | 0.148708i | \(-0.0475115\pi\) | |||||||
\(594\) | 1.11768 | − | 0.645294i | 0.0458590 | − | 0.0264767i | ||||
\(595\) | −18.6564 | − | 0.134250i | −0.764839 | − | 0.00550373i | ||||
\(596\) | 104.501 | − | 28.0009i | 4.28052 | − | 1.14696i | ||||
\(597\) | 2.98636i | 0.122224i | ||||||||
\(598\) | −4.84227 | + | 2.56096i | −0.198015 | + | 0.104726i | ||||
\(599\) | 3.79502 | 0.155060 | 0.0775301 | − | 0.996990i | \(-0.475297\pi\) | ||||
0.0775301 | + | 0.996990i | \(0.475297\pi\) | |||||||
\(600\) | 41.3833 | − | 11.0886i | 1.68947 | − | 0.452691i | ||||
\(601\) | 28.0748 | + | 16.2090i | 1.14520 | + | 0.661180i | 0.947712 | − | 0.319126i | \(-0.103389\pi\) |
0.197485 | + | 0.980306i | \(0.436723\pi\) | |||||||
\(602\) | 21.4764 | − | 36.5877i | 0.875314 | − | 1.49120i | ||||
\(603\) | 5.93685 | − | 5.93685i | 0.241767 | − | 0.241767i | ||||
\(604\) | −4.74667 | − | 1.27187i | −0.193139 | − | 0.0517515i | ||||
\(605\) | 32.1553 | + | 8.61600i | 1.30730 | + | 0.350290i | ||||
\(606\) | 12.4877 | + | 12.4877i | 0.507277 | + | 0.507277i | ||||
\(607\) | 7.81574 | − | 4.51242i | 0.317231 | − | 0.183154i | −0.332927 | − | 0.942953i | \(-0.608036\pi\) |
0.650158 | + | 0.759799i | \(0.274703\pi\) | |||||||
\(608\) | 63.5433 | − | 110.060i | 2.57702 | − | 4.46353i | ||||
\(609\) | 13.5438 | + | 13.7401i | 0.548821 | + | 0.556777i | ||||
\(610\) | 5.39259i | 0.218340i | ||||||||
\(611\) | 33.3868 | + | 1.23982i | 1.35068 | + | 0.0501576i | ||||
\(612\) | 12.4513i | 0.503316i | ||||||||
\(613\) | −6.48271 | − | 24.1938i | −0.261834 | − | 0.977179i | −0.964160 | − | 0.265323i | \(-0.914521\pi\) |
0.702325 | − | 0.711856i | \(-0.252145\pi\) | |||||||
\(614\) | −67.5530 | − | 39.0017i | −2.72622 | − | 1.57398i | ||||
\(615\) | −2.39111 | − | 4.14152i | −0.0964187 | − | 0.167002i | ||||
\(616\) | 3.13484 | − | 11.3715i | 0.126306 | − | 0.458169i | ||||
\(617\) | 22.1083 | + | 5.92389i | 0.890045 | + | 0.238487i | 0.674736 | − | 0.738059i | \(-0.264257\pi\) |
0.215309 | + | 0.976546i | \(0.430924\pi\) | |||||||
\(618\) | −6.02704 | + | 22.4932i | −0.242443 | + | 0.904809i | ||||
\(619\) | 27.9275 | − | 27.9275i | 1.12250 | − | 1.12250i | 0.131135 | − | 0.991365i | \(-0.458138\pi\) |
0.991365 | − | 0.131135i | \(-0.0418620\pi\) | |||||||
\(620\) | 32.7553 | + | 56.7339i | 1.31549 | + | 2.27849i | ||||
\(621\) | 0.278224 | − | 0.481898i | 0.0111647 | − | 0.0193379i | ||||
\(622\) | 17.4055 | + | 64.9581i | 0.697895 | + | 2.60458i | ||||
\(623\) | 3.23079 | − | 1.83443i | 0.129439 | − | 0.0734948i | ||||
\(624\) | 51.1425 | + | 15.7596i | 2.04734 | + | 0.630888i | ||||
\(625\) | 27.0785 | 1.08314 | ||||||||
\(626\) | −21.6072 | + | 5.78963i | −0.863597 | + | 0.231400i | ||||
\(627\) | −1.38666 | + | 2.40177i | −0.0553779 | + | 0.0959174i | ||||
\(628\) | 0.290133 | + | 0.502526i | 0.0115776 | + | 0.0200530i | ||||
\(629\) | 10.7124 | + | 10.7124i | 0.427133 | + | 0.427133i | ||||
\(630\) | −5.62017 | − | 21.5952i | −0.223913 | − | 0.860372i | ||||
\(631\) | −12.1764 | + | 45.4430i | −0.484736 | + | 1.80906i | 0.0965126 | + | 0.995332i | \(0.469231\pi\) |
−0.581248 | + | 0.813726i | \(0.697435\pi\) | |||||||
\(632\) | −78.7066 | − | 78.7066i | −3.13078 | − | 3.13078i | ||||
\(633\) | −6.25548 | + | 3.61160i | −0.248633 | + | 0.143548i | ||||
\(634\) | −20.8805 | − | 12.0553i | −0.829269 | − | 0.478779i | ||||
\(635\) | −7.68518 | − | 28.6815i | −0.304977 | − | 1.13819i | ||||
\(636\) | 22.7834 | 0.903419 | ||||||||
\(637\) | 24.0102 | + | 7.77882i | 0.951319 | + | 0.308208i | ||||
\(638\) | −9.41110 | −0.372589 | ||||||||
\(639\) | −0.572316 | − | 2.13591i | −0.0226405 | − | 0.0844954i | ||||
\(640\) | −99.2522 | − | 57.3033i | −3.92329 | − | 2.26511i | ||||
\(641\) | −2.21029 | + | 1.27611i | −0.0873011 | + | 0.0504033i | −0.543015 | − | 0.839723i | \(-0.682717\pi\) |
0.455714 | + | 0.890126i | \(0.349384\pi\) | |||||||
\(642\) | 9.05146 | + | 9.05146i | 0.357233 | + | 0.357233i | ||||
\(643\) | −7.09734 | + | 26.4876i | −0.279892 | + | 1.04457i | 0.672600 | + | 0.740006i | \(0.265177\pi\) |
−0.952492 | + | 0.304564i | \(0.901489\pi\) | |||||||
\(644\) | −2.02251 | − | 7.77136i | −0.0796980 | − | 0.306235i | ||||
\(645\) | 12.8286 | + | 12.8286i | 0.505127 | + | 0.505127i | ||||
\(646\) | −18.2836 | − | 31.6682i | −0.719360 | − | 1.24597i | ||||
\(647\) | −2.97944 | + | 5.16054i | −0.117134 | + | 0.202882i | −0.918631 | − | 0.395117i | \(-0.870704\pi\) |
0.801497 | + | 0.597999i | \(0.204037\pi\) | |||||||
\(648\) | −9.11041 | + | 2.44113i | −0.357891 | + | 0.0958965i | ||||
\(649\) | 6.98721 | 0.274272 | ||||||||
\(650\) | −37.8693 | − | 23.7799i | −1.48535 | − | 0.932726i | ||||
\(651\) | 8.94534 | − | 5.07912i | 0.350595 | − | 0.199066i | ||||
\(652\) | 20.2338 | + | 75.5135i | 0.792416 | + | 2.95734i | ||||
\(653\) | −9.88229 | + | 17.1166i | −0.386724 | + | 0.669825i | −0.992007 | − | 0.126185i | \(-0.959727\pi\) |
0.605283 | + | 0.796010i | \(0.293060\pi\) | |||||||
\(654\) | 7.06797 | + | 12.2421i | 0.276379 | + | 0.478703i | ||||
\(655\) | −34.0874 | + | 34.0874i | −1.33190 | + | 1.33190i | ||||
\(656\) | −5.94709 | + | 22.1949i | −0.232195 | + | 0.866563i | ||||
\(657\) | −3.33267 | − | 0.892986i | −0.130020 | − | 0.0348387i | ||||
\(658\) | −17.7891 | + | 64.5289i | −0.693492 | + | 2.51560i | ||||
\(659\) | 0.623376 | + | 1.07972i | 0.0242833 | + | 0.0420599i | 0.877912 | − | 0.478823i | \(-0.158936\pi\) |
−0.853628 | + | 0.520882i | \(0.825603\pi\) | |||||||
\(660\) | 6.89752 | + | 3.98229i | 0.268486 | + | 0.155010i | ||||
\(661\) | −6.22445 | − | 23.2300i | −0.242103 | − | 0.903541i | −0.974817 | − | 0.223004i | \(-0.928414\pi\) |
0.732714 | − | 0.680536i | \(-0.238253\pi\) | |||||||
\(662\) | 80.8932i | 3.14400i | ||||||||
\(663\) | 6.03190 | − | 5.59995i | 0.234260 | − | 0.217484i | ||||
\(664\) | − | 24.1175i | − | 0.935940i | ||||||
\(665\) | 33.6618 | + | 34.1498i | 1.30535 | + | 1.32427i | ||||
\(666\) | −9.05986 | + | 15.6921i | −0.351063 | + | 0.608058i | ||||
\(667\) | −3.51405 | + | 2.02884i | −0.136065 | + | 0.0785569i | ||||
\(668\) | −54.5486 | − | 54.5486i | −2.11055 | − | 2.11055i | ||||
\(669\) | −18.5687 | − | 4.97547i | −0.717908 | − | 0.192363i | ||||
\(670\) | 68.3995 | + | 18.3276i | 2.64250 | + | 0.708057i | ||||
\(671\) | −0.213709 | + | 0.213709i | −0.00825013 | + | 0.00825013i | ||||
\(672\) | −29.0111 | + | 49.4240i | −1.11913 | + | 1.90657i | ||||
\(673\) | −43.6649 | − | 25.2100i | −1.68316 | − | 0.971772i | −0.959540 | − | 0.281573i | \(-0.909144\pi\) |
−0.723619 | − | 0.690199i | \(-0.757523\pi\) | |||||||
\(674\) | −64.9704 | + | 17.4088i | −2.50257 | + | 0.670561i | ||||
\(675\) | 4.54242 | 0.174838 | ||||||||
\(676\) | −30.8021 | − | 63.8690i | −1.18469 | − | 2.45650i | ||||
\(677\) | 30.3365i | 1.16593i | 0.812498 | + | 0.582964i | \(0.198107\pi\) | ||||
−0.812498 | + | 0.582964i | \(0.801893\pi\) | |||||||
\(678\) | 23.2696 | − | 6.23506i | 0.893662 | − | 0.239456i | ||||
\(679\) | −33.2225 | − | 0.239067i | −1.27496 | − | 0.00917454i | ||||
\(680\) | −57.5991 | + | 33.2548i | −2.20882 | + | 1.27526i | ||||
\(681\) | 10.9169 | − | 10.9169i | 0.418338 | − | 0.418338i | ||||
\(682\) | −1.29871 | + | 4.84684i | −0.0497301 | + | 0.185595i | ||||
\(683\) | −6.38263 | + | 23.8203i | −0.244224 | + | 0.911458i | 0.729547 | + | 0.683930i | \(0.239731\pi\) |
−0.973772 | + | 0.227528i | \(0.926936\pi\) | |||||||
\(684\) | 22.6288 | − | 22.6288i | 0.865235 | − | 0.865235i | ||||
\(685\) | −52.0325 | + | 30.0410i | −1.98806 | + | 1.14781i | ||||
\(686\) | −26.2222 | + | 43.2353i | −1.00117 | + | 1.65073i | ||||
\(687\) | 11.4539 | − | 3.06907i | 0.436995 | − | 0.117092i | ||||
\(688\) | − | 87.1715i | − | 3.32338i | ||||||
\(689\) | −10.2467 | − | 11.0371i | −0.390370 | − | 0.420481i | ||||
\(690\) | 4.69313 | 0.178664 | ||||||||
\(691\) | 40.1209 | − | 10.7504i | 1.52627 | − | 0.408963i | 0.604470 | − | 0.796628i | \(-0.293385\pi\) |
0.921800 | + | 0.387666i | \(0.126718\pi\) | |||||||
\(692\) | −1.96886 | − | 1.13672i | −0.0748449 | − | 0.0432117i | ||||
\(693\) | 0.633090 | − | 1.07855i | 0.0240491 | − | 0.0409706i | ||||
\(694\) | −25.8556 | + | 25.8556i | −0.981464 | + | 0.981464i | ||||
\(695\) | −16.7144 | − | 4.47860i | −0.634012 | − | 0.169883i | ||||
\(696\) | 66.4341 | + | 17.8010i | 2.51818 | + | 0.674744i | ||||
\(697\) | 2.49888 | + | 2.49888i | 0.0946519 | + | 0.0946519i | ||||
\(698\) | −24.8718 | + | 14.3597i | −0.941411 | + | 0.543524i | ||||
\(699\) | 9.97698 | − | 17.2806i | 0.377364 | − | 0.653614i | ||||
\(700\) | 46.6851 | − | 46.0181i | 1.76453 | − | 1.73932i | ||||
\(701\) | 1.87133i | 0.0706790i | 0.999375 | + | 0.0353395i | \(0.0112513\pi\) | ||||
−0.999375 | + | 0.0353395i | \(0.988749\pi\) | |||||||
\(702\) | 8.33681 | + | 5.23509i | 0.314653 | + | 0.197586i | ||||
\(703\) | − | 38.9372i | − | 1.46854i | ||||||
\(704\) | −3.60365 | − | 13.4490i | −0.135818 | − | 0.506878i | ||||
\(705\) | −24.7892 | − | 14.3120i | −0.933614 | − | 0.539022i | ||||
\(706\) | 21.1860 | + | 36.6952i | 0.797346 | + | 1.38104i | ||||
\(707\) | 16.4980 | + | 4.54811i | 0.620471 | + | 0.171049i | ||||
\(708\) | −77.8796 | − | 20.8678i | −2.92690 | − | 0.784259i | ||||
\(709\) | −1.15519 | + | 4.31123i | −0.0433841 | + | 0.161912i | −0.984219 | − | 0.176953i | \(-0.943376\pi\) |
0.940835 | + | 0.338864i | \(0.110043\pi\) | |||||||
\(710\) | 13.1875 | − | 13.1875i | 0.494919 | − | 0.494919i | ||||
\(711\) | −5.90068 | − | 10.2203i | −0.221293 | − | 0.383290i | ||||
\(712\) | 6.62222 | − | 11.4700i | 0.248178 | − | 0.429858i | ||||
\(713\) | 0.559949 | + | 2.08976i | 0.0209702 | + | 0.0782620i | ||||
\(714\) | 8.14200 | + | 14.3397i | 0.304707 | + | 0.536649i | ||||
\(715\) | −1.17297 | − | 5.13244i | −0.0438665 | − | 0.191942i | ||||
\(716\) | −56.6718 | −2.11793 | ||||||||
\(717\) | 7.20887 | − | 1.93161i | 0.269220 | − | 0.0721373i | ||||
\(718\) | −13.9181 | + | 24.1069i | −0.519421 | + | 0.899663i | ||||
\(719\) | 9.74009 | + | 16.8703i | 0.363244 | + | 0.629157i | 0.988493 | − | 0.151269i | \(-0.0483358\pi\) |
−0.625249 | + | 0.780426i | \(0.715002\pi\) | |||||||
\(720\) | −32.4207 | − | 32.4207i | −1.20825 | − | 1.20825i | ||||
\(721\) | 5.68342 | + | 21.8382i | 0.211662 | + | 0.813296i | ||||
\(722\) | −10.8984 | + | 40.6736i | −0.405598 | + | 1.51371i | ||||
\(723\) | −6.11353 | − | 6.11353i | −0.227365 | − | 0.227365i | ||||
\(724\) | 101.316 | − | 58.4946i | 3.76537 | − | 2.17394i | ||||
\(725\) | −28.6860 | − | 16.5619i | −1.06537 | − | 0.615093i | ||||
\(726\) | −7.61528 | − | 28.4206i | −0.282629 | − | 1.05479i | ||||
\(727\) | −36.9369 | −1.36991 | −0.684957 | − | 0.728583i | \(-0.740179\pi\) | ||||
−0.684957 | + | 0.728583i | \(0.740179\pi\) | |||||||
\(728\) | 87.8541 | − | 19.4141i | 3.25609 | − | 0.719533i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −7.53153 | − | 28.1080i | −0.278754 | − | 1.04033i | ||||
\(731\) | −11.6107 | − | 6.70343i | −0.429437 | − | 0.247935i | ||||
\(732\) | 3.02026 | − | 1.74375i | 0.111632 | − | 0.0644508i | ||||
\(733\) | 7.39416 | + | 7.39416i | 0.273109 | + | 0.273109i | 0.830351 | − | 0.557241i | \(-0.188140\pi\) |
−0.557241 | + | 0.830351i | \(0.688140\pi\) | |||||||
\(734\) | 10.7560 | − | 40.1419i | 0.397011 | − | 1.48166i | ||||
\(735\) | −15.0685 | − | 15.5086i | −0.555812 | − | 0.572044i | ||||
\(736\) | −8.52289 | − | 8.52289i | −0.314158 | − | 0.314158i | ||||
\(737\) | 1.98435 | + | 3.43700i | 0.0730946 | + | 0.126604i | ||||
\(738\) | −2.11339 | + | 3.66049i | −0.0777948 | + | 0.134745i | ||||
\(739\) | −40.7446 | + | 10.9175i | −1.49882 | + | 0.401606i | −0.912703 | − | 0.408623i | \(-0.866009\pi\) |
−0.586112 | + | 0.810230i | \(0.699342\pi\) | |||||||
\(740\) | −111.822 | −4.11065 | ||||||||
\(741\) | −21.1395 | − | 0.785015i | −0.776579 | − | 0.0288382i | ||||
\(742\) | 26.2386 | − | 14.8982i | 0.963250 | − | 0.546929i | ||||
\(743\) | −0.209458 | − | 0.781707i | −0.00768426 | − | 0.0286780i | 0.961977 | − | 0.273130i | \(-0.0880588\pi\) |
−0.969662 | + | 0.244452i | \(0.921392\pi\) | |||||||
\(744\) | 18.3355 | − | 31.7580i | 0.672211 | − | 1.16430i | ||||
\(745\) | 30.6351 | + | 53.0616i | 1.12238 | + | 1.94403i | ||||
\(746\) | 63.0380 | − | 63.0380i | 2.30799 | − | 2.30799i | ||||
\(747\) | 0.661811 | − | 2.46991i | 0.0242144 | − | 0.0903694i | ||||
\(748\) | −5.68510 | − | 1.52332i | −0.207868 | − | 0.0556980i | ||||
\(749\) | 11.9583 | + | 3.29661i | 0.436945 | + | 0.120456i | ||||
\(750\) | −1.92965 | − | 3.34225i | −0.0704607 | − | 0.122042i | ||||
\(751\) | 41.4868 | + | 23.9524i | 1.51387 | + | 0.874035i | 0.999868 | + | 0.0162488i | \(0.00517239\pi\) |
0.514006 | + | 0.857787i | \(0.328161\pi\) | |||||||
\(752\) | 35.5965 | + | 132.848i | 1.29807 | + | 4.84446i | ||||
\(753\) | − | 16.9722i | − | 0.618501i | ||||||
\(754\) | −33.5608 | − | 63.4568i | −1.22221 | − | 2.31096i | ||||
\(755\) | − | 2.78304i | − | 0.101285i | ||||||
\(756\) | −10.2776 | + | 10.1307i | −0.373793 | + | 0.368451i | ||||
\(757\) | 1.02223 | − | 1.77055i | 0.0371534 | − | 0.0643516i | −0.846851 | − | 0.531831i | \(-0.821504\pi\) |
0.884004 | + | 0.467479i | \(0.154838\pi\) | |||||||
\(758\) | 59.1640 | − | 34.1583i | 2.14893 | − | 1.24069i | ||||
\(759\) | 0.185989 | + | 0.185989i | 0.00675098 | + | 0.00675098i | ||||
\(760\) | 165.116 | + | 44.2427i | 5.98939 | + | 1.60485i | ||||
\(761\) | 13.8918 | + | 3.72230i | 0.503578 | + | 0.134933i | 0.501660 | − | 0.865065i | \(-0.332723\pi\) |
0.00191784 | + | 0.999998i | \(0.499390\pi\) | |||||||
\(762\) | −18.5576 | + | 18.5576i | −0.672273 | + | 0.672273i | ||||
\(763\) | 11.8134 | + | 6.93430i | 0.427674 | + | 0.251038i | ||||
\(764\) | −1.05071 | − | 0.606626i | −0.0380132 | − | 0.0219470i | ||||
\(765\) | −6.81137 | + | 1.82510i | −0.246265 | + | 0.0659866i | ||||
\(766\) | 49.6825 | 1.79510 | ||||||||
\(767\) | 24.9170 | + | 47.1130i | 0.899700 | + | 1.70115i | ||||
\(768\) | 42.3841i | 1.52940i | ||||||||
\(769\) | −9.09993 | + | 2.43832i | −0.328152 | + | 0.0879280i | −0.419134 | − | 0.907925i | \(-0.637666\pi\) |
0.0909818 | + | 0.995853i | \(0.470999\pi\) | |||||||
\(770\) | 10.5476 | + | 0.0759000i | 0.380110 | + | 0.00273525i | ||||
\(771\) | −5.83406 | + | 3.36830i | −0.210109 | + | 0.121306i | ||||
\(772\) | 7.91442 | − | 7.91442i | 0.284846 | − | 0.284846i | ||||
\(773\) | −6.89949 | + | 25.7493i | −0.248157 | + | 0.926136i | 0.723613 | + | 0.690206i | \(0.242480\pi\) |
−0.971770 | + | 0.235930i | \(0.924186\pi\) | |||||||
\(774\) | 4.15022 | − | 15.4888i | 0.149177 | − | 0.556735i | ||||
\(775\) | −12.4882 | + | 12.4882i | −0.448589 | + | 0.448589i | ||||
\(776\) | −102.570 | + | 59.2186i | −3.68204 | + | 2.12583i | ||||
\(777\) | −0.126348 | + | 17.5582i | −0.00453270 | + | 0.629897i | ||||
\(778\) | −16.1595 | + | 4.32993i | −0.579347 | + | 0.155236i | ||||
\(779\) | − | 9.08284i | − | 0.325427i | ||||||
\(780\) | −2.25445 | + | 60.7095i | −0.0807221 | + | 2.17375i | ||||
\(781\) | 1.04525 | 0.0374018 | ||||||||
\(782\) | −3.34995 | + | 0.897617i | −0.119794 | + | 0.0320987i | ||||
\(783\) | 6.31515 | + | 3.64605i | 0.225685 | + | 0.130299i | ||||
\(784\) | −1.49521 | + | 103.887i | −0.0534003 | + | 3.71026i | ||||
\(785\) | −0.232374 | + | 0.232374i | −0.00829378 | + | 0.00829378i | ||||
\(786\) | 41.1559 | + | 11.0277i | 1.46798 | + | 0.393345i | ||||
\(787\) | −42.0566 | − | 11.2690i | −1.49916 | − | 0.401698i | −0.586339 | − | 0.810066i | \(-0.699431\pi\) |
−0.912817 | + | 0.408368i | \(0.866098\pi\) | |||||||
\(788\) | −50.7975 | − | 50.7975i | −1.80959 | − | 1.80959i | ||||
\(789\) | 4.57739 | − | 2.64276i | 0.162960 | − | 0.0940847i | ||||
\(790\) | 49.7669 | − | 86.1987i | 1.77063 | − | 3.06681i | ||||
\(791\) | 16.6254 | − | 16.3878i | 0.591131 | − | 0.582684i | ||||
\(792\) | − | 4.45833i | − | 0.158420i | ||||||
\(793\) | −2.20309 | − | 0.678883i | −0.0782340 | − | 0.0241078i | ||||
\(794\) | − | 36.0580i | − | 1.27965i | ||||||
\(795\) | 3.33955 | + | 12.4634i | 0.118442 | + | 0.442031i | ||||
\(796\) | 14.1068 | + | 8.14455i | 0.500001 | + | 0.288676i | ||||
\(797\) | 8.97549 | + | 15.5460i | 0.317928 | + | 0.550667i | 0.980056 | − | 0.198724i | \(-0.0636796\pi\) |
−0.662128 | + | 0.749391i | \(0.730346\pi\) | |||||||
\(798\) | 11.2635 | − | 40.8578i | 0.398725 | − | 1.44635i | ||||
\(799\) | 20.4318 | + | 5.47469i | 0.722826 | + | 0.193681i | ||||
\(800\) | 25.4660 | − | 95.0404i | 0.900359 | − | 3.36019i | ||||
\(801\) | 0.992944 | − | 0.992944i | 0.0350839 | − | 0.0350839i | ||||
\(802\) | 7.00218 | + | 12.1281i | 0.247256 | + | 0.428259i | ||||
\(803\) | 0.815449 | − | 1.41240i | 0.0287766 | − | 0.0498425i | ||||
\(804\) | −11.8528 | − | 44.2354i | −0.418017 | − | 1.56006i | ||||
\(805\) | 3.95478 | − | 2.24551i | 0.139388 | − | 0.0791437i | ||||
\(806\) | −37.3124 | + | 8.52738i | −1.31427 | + | 0.300364i | ||||
\(807\) | −3.27627 | −0.115330 | ||||||||
\(808\) | 58.9285 | − | 15.7899i | 2.07310 | − | 0.555485i | ||||
\(809\) | −11.6827 | + | 20.2350i | −0.410741 | + | 0.711424i | −0.994971 | − | 0.100164i | \(-0.968063\pi\) |
0.584230 | + | 0.811588i | \(0.301397\pi\) | |||||||
\(810\) | −4.21705 | − | 7.30414i | −0.148172 | − | 0.256641i | ||||
\(811\) | 6.31578 | + | 6.31578i | 0.221777 | + | 0.221777i | 0.809246 | − | 0.587469i | \(-0.199876\pi\) |
−0.587469 | + | 0.809246i | \(0.699876\pi\) | |||||||
\(812\) | 101.842 | − | 26.5045i | 3.57395 | − | 0.930124i | ||||
\(813\) | 3.01677 | − | 11.2587i | 0.105803 | − | 0.394861i | ||||
\(814\) | −6.05640 | − | 6.05640i | −0.212277 | − | 0.212277i | ||||
\(815\) | −38.3430 | + | 22.1373i | −1.34310 | + | 0.775437i | ||||
\(816\) | 29.3427 | + | 16.9410i | 1.02720 | + | 0.593055i | ||||
\(817\) | 8.91834 | + | 33.2837i | 0.312013 | + | 1.16445i | ||||
\(818\) | 43.6020 | 1.52451 | ||||||||
\(819\) | 9.53003 | + | 0.422588i | 0.333006 | + | 0.0147664i | ||||
\(820\) | −26.0846 | −0.910913 | ||||||||
\(821\) | 0.0319770 | + | 0.119340i | 0.00111600 | + | 0.00416498i | 0.966482 | − | 0.256736i | \(-0.0826471\pi\) |
−0.965366 | + | 0.260901i | \(0.915980\pi\) | |||||||
\(822\) | 45.9891 | + | 26.5518i | 1.60405 | + | 0.926101i | ||||
\(823\) | −26.0725 | + | 15.0529i | −0.908829 | + | 0.524712i | −0.880054 | − | 0.474874i | \(-0.842494\pi\) |
−0.0287745 | + | 0.999586i | \(0.509160\pi\) | |||||||
\(824\) | 56.8824 | + | 56.8824i | 1.98159 | + | 1.98159i | ||||
\(825\) | −0.555727 | + | 2.07400i | −0.0193479 | + | 0.0722075i | ||||
\(826\) | −103.336 | + | 26.8934i | −3.59553 | + | 0.935741i | ||||
\(827\) | 21.5722 | + | 21.5722i | 0.750140 | + | 0.750140i | 0.974505 | − | 0.224365i | \(-0.0720307\pi\) |
−0.224365 | + | 0.974505i | \(0.572031\pi\) | |||||||
\(828\) | −1.51757 | − | 2.62851i | −0.0527393 | − | 0.0913471i | ||||
\(829\) | −9.38977 | + | 16.2636i | −0.326120 | + | 0.564857i | −0.981738 | − | 0.190236i | \(-0.939075\pi\) |
0.655618 | + | 0.755093i | \(0.272408\pi\) | |||||||
\(830\) | 20.8315 | − | 5.58178i | 0.723071 | − | 0.193746i | ||||
\(831\) | −4.22856 | −0.146687 | ||||||||
\(832\) | 77.8324 | − | 72.2588i | 2.69835 | − | 2.50512i | ||||
\(833\) | 13.7221 | + | 8.18800i | 0.475443 | + | 0.283697i | ||||
\(834\) | 3.95843 | + | 14.7731i | 0.137069 | + | 0.511549i | ||||
\(835\) | 21.8445 | − | 37.8359i | 0.755961 | − | 1.30936i | ||||
\(836\) | 7.56354 | + | 13.1004i | 0.261591 | + | 0.453088i | ||||
\(837\) | 2.74924 | − | 2.74924i | 0.0950277 | − | 0.0950277i | ||||
\(838\) | 10.3194 | − | 38.5126i | 0.356478 | − | 1.33039i | ||||
\(839\) | −27.4030 | − | 7.34262i | −0.946058 | − | 0.253495i | −0.247369 | − | 0.968921i | \(-0.579566\pi\) |
−0.698689 | + | 0.715426i | \(0.746233\pi\) | |||||||
\(840\) | −74.3133 | − | 20.4865i | −2.56405 | − | 0.706850i | ||||
\(841\) | −12.0874 | − | 20.9360i | −0.416807 | − | 0.721931i | ||||
\(842\) | −6.83256 | − | 3.94478i | −0.235466 | − | 0.135946i | ||||
\(843\) | −6.67484 | − | 24.9108i | −0.229894 | − | 0.857975i | ||||
\(844\) | 39.3990i | 1.35617i | ||||||||
\(845\) | 30.4239 | − | 26.2117i | 1.04661 | − | 0.901712i | ||||
\(846\) | 25.2995i | 0.869813i | ||||||||
\(847\) | −20.0155 | − | 20.3057i | −0.687741 | − | 0.697711i | ||||
\(848\) | 30.9986 | − | 53.6911i | 1.06450 | − | 1.84376i | ||||
\(849\) | −3.32864 | + | 1.92179i | −0.114239 | + | 0.0659558i | ||||
\(850\) | −20.0190 | − | 20.0190i | −0.686646 | − | 0.686646i | ||||
\(851\) | −3.56706 | − | 0.955791i | −0.122277 | − | 0.0327641i | ||||
\(852\) | −11.6503 | − | 3.12170i | −0.399134 | − | 0.106948i | ||||
\(853\) | −16.3889 | + | 16.3889i | −0.561144 | + | 0.561144i | −0.929632 | − | 0.368488i | \(-0.879876\pi\) |
0.368488 | + | 0.929632i | \(0.379876\pi\) | |||||||
\(854\) | 2.33806 | − | 3.98317i | 0.0800067 | − | 0.136301i | ||||
\(855\) | 15.6957 | + | 9.06194i | 0.536783 | + | 0.309912i | ||||
\(856\) | 42.7132 | − | 11.4450i | 1.45991 | − | 0.391181i | ||||
\(857\) | 14.4403 | 0.493271 | 0.246636 | − | 0.969108i | \(-0.420675\pi\) | ||||
0.246636 | + | 0.969108i | \(0.420675\pi\) | |||||||
\(858\) | −3.41020 | + | 3.16600i | −0.116422 | + | 0.108085i | ||||
\(859\) | 39.7298i | 1.35556i | 0.735264 | + | 0.677781i | \(0.237058\pi\) | ||||
−0.735264 | + | 0.677781i | \(0.762942\pi\) | |||||||
\(860\) | 95.5859 | − | 25.6122i | 3.25945 | − | 0.873367i | ||||
\(861\) | −0.0294730 | + | 4.09579i | −0.00100444 | + | 0.139584i | ||||
\(862\) | 25.8730 | − | 14.9378i | 0.881237 | − | 0.508782i | ||||
\(863\) | −14.6873 | + | 14.6873i | −0.499961 | + | 0.499961i | −0.911426 | − | 0.411464i | \(-0.865017\pi\) |
0.411464 | + | 0.911426i | \(0.365017\pi\) | |||||||
\(864\) | −5.60626 | + | 20.9229i | −0.190729 | + | 0.711810i | ||||
\(865\) | 0.333238 | − | 1.24366i | 0.0113304 | − | 0.0422858i | ||||
\(866\) | −69.1933 | + | 69.1933i | −2.35128 | + | 2.35128i | ||||
\(867\) | −10.2096 | + | 5.89449i | −0.346735 | + | 0.200187i | ||||
\(868\) | 0.403746 | − | 56.1074i | 0.0137040 | − | 1.90441i | ||||
\(869\) | 5.38833 | − | 1.44380i | 0.182786 | − | 0.0489775i | ||||
\(870\) | 61.5023i | 2.08512i | ||||||||
\(871\) | −16.0985 | + | 25.6367i | −0.545477 | + | 0.868665i | ||||
\(872\) | 48.8326 | 1.65368 | ||||||||
\(873\) | −12.1294 | + | 3.25005i | −0.410517 | + | 0.109998i | ||||
\(874\) | 7.71945 | + | 4.45683i | 0.261114 | + | 0.150754i | ||||
\(875\) | −3.22522 | − | 1.89315i | −0.109032 | − | 0.0640003i | ||||
\(876\) | −13.3072 | + | 13.3072i | −0.449610 | + | 0.449610i | ||||
\(877\) | 16.7227 | + | 4.48084i | 0.564687 | + | 0.151307i | 0.529859 | − | 0.848086i | \(-0.322245\pi\) |
0.0348281 | + | 0.999393i | \(0.488912\pi\) | |||||||
\(878\) | −4.07311 | − | 1.09139i | −0.137461 | − | 0.0368326i | ||||
\(879\) | 20.9590 | + | 20.9590i | 0.706931 | + | 0.706931i | ||||
\(880\) | 18.7692 | − | 10.8364i | 0.632711 | − | 0.365296i | ||||
\(881\) | 13.3851 | − | 23.1836i | 0.450955 | − | 0.781076i | −0.547491 | − | 0.836812i | \(-0.684417\pi\) |
0.998446 | + | 0.0557352i | \(0.0177503\pi\) | |||||||
\(882\) | −5.21172 | + | 18.3877i | −0.175488 | + | 0.619147i | ||||
\(883\) | − | 41.2346i | − | 1.38766i | −0.720141 | − | 0.693828i | \(-0.755923\pi\) | ||
0.720141 | − | 0.693828i | \(-0.244077\pi\) | |||||||
\(884\) | −10.0022 | − | 43.7655i | −0.336410 | − | 1.47199i | ||||
\(885\) | − | 45.6619i | − | 1.53491i | ||||||
\(886\) | 11.4235 | + | 42.6331i | 0.383780 | + | 1.43229i | ||||
\(887\) | −23.6672 | − | 13.6643i | −0.794668 | − | 0.458802i | 0.0469355 | − | 0.998898i | \(-0.485054\pi\) |
−0.841603 | + | 0.540096i | \(0.818388\pi\) | |||||||
\(888\) | 31.2973 | + | 54.2085i | 1.05027 | + | 1.81912i | ||||
\(889\) | −6.75884 | + | 24.5173i | −0.226684 | + | 0.822283i | ||||
\(890\) | 11.4399 | + | 3.06531i | 0.383466 | + | 0.102749i | ||||
\(891\) | 0.122342 | − | 0.456585i | 0.00409860 | − | 0.0152962i | ||||
\(892\) | −74.1443 | + | 74.1443i | −2.48253 | + | 2.48253i | ||||
\(893\) | −27.1828 | − | 47.0820i | −0.909638 | − | 1.57554i | ||||
\(894\) | 27.0770 | − | 46.8987i | 0.905589 | − | 1.56853i | ||||
\(895\) | −8.30688 | − | 31.0017i | −0.277668 | − | 1.03627i | ||||
\(896\) | 48.4664 | + | 85.3590i | 1.61915 | + | 2.85164i | ||||
\(897\) | −0.590827 | + | 1.91733i | −0.0197271 | + | 0.0640179i | ||||
\(898\) | 41.8581 | 1.39682 | ||||||||
\(899\) | −27.3857 | + | 7.33799i | −0.913365 | + | 0.244736i | ||||
\(900\) | 12.3883 | − | 21.4572i | 0.412944 | − | 0.715239i | ||||
\(901\) | −4.76754 | − | 8.25762i | −0.158830 | − | 0.275101i | ||||
\(902\) | −1.41277 | − | 1.41277i | −0.0470402 | − | 0.0470402i | ||||
\(903\) | −3.91361 | − | 15.0378i | −0.130237 | − | 0.500426i | ||||
\(904\) | 21.5390 | − | 80.3847i | 0.716377 | − | 2.67355i | ||||
\(905\) | 46.8496 | + | 46.8496i | 1.55733 | + | 1.55733i | ||||
\(906\) | −2.13025 | + | 1.22990i | −0.0707727 | + | 0.0408606i | ||||
\(907\) | 24.9677 | + | 14.4151i | 0.829038 | + | 0.478645i | 0.853523 | − | 0.521055i | \(-0.174461\pi\) |
−0.0244850 | + | 0.999700i | \(0.507795\pi\) | |||||||
\(908\) | −21.7955 | − | 81.3418i | −0.723308 | − | 2.69942i | ||||
\(909\) | 6.46826 | 0.214539 | ||||||||
\(910\) | 37.1019 | + | 71.3907i | 1.22992 | + | 2.36658i | ||||
\(911\) | −55.1222 | −1.82628 | −0.913140 | − | 0.407646i | \(-0.866350\pi\) | ||||
−0.913140 | + | 0.407646i | \(0.866350\pi\) | |||||||
\(912\) | −22.5386 | − | 84.1152i | −0.746328 | − | 2.78533i | ||||
\(913\) | 1.04676 | + | 0.604347i | 0.0346427 | + | 0.0200010i | ||||
\(914\) | −65.2472 | + | 37.6705i | −2.15819 | + | 1.24603i | ||||
\(915\) | 1.39660 | + | 1.39660i | 0.0461703 | + | 0.0461703i | ||||
\(916\) | 16.7402 | − | 62.4755i | 0.553113 | − | 2.06425i | ||||
\(917\) | 39.9574 | − | 10.3990i | 1.31951 | − | 0.343405i | ||||
\(918\) | 4.40713 | + | 4.40713i | 0.145457 | + | 0.145457i | ||||
\(919\) | 12.4821 | + | 21.6196i | 0.411745 | + | 0.713164i | 0.995081 | − | 0.0990678i | \(-0.0315861\pi\) |
−0.583336 | + | 0.812231i | \(0.698253\pi\) | |||||||
\(920\) | 8.10621 | − | 14.0404i | 0.267254 | − | 0.462897i | ||||
\(921\) | −27.5961 | + | 7.39436i | −0.909324 | + | 0.243653i | ||||
\(922\) | 6.65300 | 0.219105 | ||||||||
\(923\) | 3.72743 | + | 7.04783i | 0.122690 | + | 0.231982i | ||||
\(924\) | −3.36817 | − | 5.93201i | −0.110805 | − | 0.195149i | ||||
\(925\) | −7.80235 | − | 29.1188i | −0.256540 | − | 0.957420i | ||||
\(926\) | −30.7080 | + | 53.1878i | −1.00913 | + | 1.74786i | ||||
\(927\) | 4.26450 | + | 7.38633i | 0.140065 | + | 0.242599i | ||||
\(928\) | 111.690 | − | 111.690i | 3.66641 | − | 3.66641i | ||||
\(929\) | 6.01016 | − | 22.4302i | 0.197187 | − | 0.735911i | −0.794503 | − | 0.607260i | \(-0.792269\pi\) |
0.991690 | − | 0.128651i | \(-0.0410647\pi\) | |||||||
\(930\) | 31.6745 | + | 8.48716i | 1.03865 | + | 0.278305i | ||||
\(931\) | −10.0576 | − | 39.8190i | −0.329624 | − | 1.30502i | ||||
\(932\) | −54.4194 | − | 94.2572i | −1.78257 | − | 3.08750i | ||||
\(933\) | 21.3310 | + | 12.3154i | 0.698345 | + | 0.403189i | ||||
\(934\) | 4.70838 | + | 17.5719i | 0.154063 | + | 0.574971i | ||||
\(935\) | − | 3.33326i | − | 0.109009i | ||||||
\(936\) | 30.0615 | − | 15.8988i | 0.982590 | − | 0.519668i | ||||
\(937\) | − | 10.3813i | − | 0.339143i | −0.985518 | − | 0.169572i | \(-0.945762\pi\) | ||
0.985518 | − | 0.169572i | \(-0.0542384\pi\) | |||||||
\(938\) | −42.5762 | − | 43.1934i | −1.39016 | − | 1.41031i | ||||
\(939\) | −4.09652 | + | 7.09538i | −0.133685 | + | 0.231549i | ||||
\(940\) | −135.212 | + | 78.0649i | −4.41014 | + | 2.54620i | ||||
\(941\) | 21.0506 | + | 21.0506i | 0.686232 | + | 0.686232i | 0.961397 | − | 0.275165i | \(-0.0887326\pi\) |
−0.275165 | + | 0.961397i | \(0.588733\pi\) | |||||||
\(942\) | 0.280560 | + | 0.0751759i | 0.00914114 | + | 0.00244936i | ||||
\(943\) | −0.832085 | − | 0.222957i | −0.0270964 | − | 0.00726046i | ||||
\(944\) | −155.138 | + | 155.138i | −5.04932 | + | 5.04932i | ||||
\(945\) | −7.04838 | − | 4.13729i | −0.229284 | − | 0.134586i | ||||
\(946\) | 6.56423 | + | 3.78986i | 0.213422 | + | 0.123219i | ||||
\(947\) | 12.9426 | − | 3.46795i | 0.420577 | − | 0.112693i | −0.0423224 | − | 0.999104i | \(-0.513476\pi\) |
0.462900 | + | 0.886411i | \(0.346809\pi\) | |||||||
\(948\) | −64.3705 | −2.09066 | ||||||||
\(949\) | 12.4314 | + | 0.461641i | 0.403541 | + | 0.0149855i | ||||
\(950\) | 72.7643i | 2.36079i | ||||||||
\(951\) | −8.52990 | + | 2.28558i | −0.276601 | + | 0.0741150i | ||||
\(952\) | 56.9631 | + | 0.409903i | 1.84618 | + | 0.0132850i | ||||
\(953\) | −13.8070 | + | 7.97146i | −0.447252 | + | 0.258221i | −0.706669 | − | 0.707544i | \(-0.749803\pi\) |
0.259417 | + | 0.965765i | \(0.416470\pi\) | |||||||
\(954\) | 8.06412 | − | 8.06412i | 0.261086 | − | 0.261086i | ||||
\(955\) | 0.177837 | − | 0.663696i | 0.00575466 | − | 0.0214767i | ||||
\(956\) | 10.5360 | − | 39.3208i | 0.340757 | − | 1.27172i | ||||
\(957\) | −2.43734 | + | 2.43734i | −0.0787880 | + | 0.0787880i | ||||
\(958\) | −53.9931 | + | 31.1729i | −1.74444 | + | 1.00715i | ||||
\(959\) | 51.4580 | + | 0.370288i | 1.66166 | + | 0.0119572i | ||||
\(960\) | −87.8903 | + | 23.5501i | −2.83665 | + | 0.760077i | ||||
\(961\) | − | 15.8834i | − | 0.512366i | ||||||
\(962\) | 19.2392 | − | 62.4345i | 0.620297 | − | 2.01297i | ||||
\(963\) | 4.68840 | 0.151082 | ||||||||
\(964\) | −45.5518 | + | 12.2056i | −1.46712 | + | 0.393115i | ||||
\(965\) | 5.48958 | + | 3.16941i | 0.176716 | + | 0.102027i | ||||
\(966\) | −3.46652 | − | 2.03480i | −0.111534 | − | 0.0654685i | ||||
\(967\) | 8.01251 | − | 8.01251i | 0.257665 | − | 0.257665i | −0.566439 | − | 0.824104i | \(-0.691679\pi\) |
0.824104 | + | 0.566439i | \(0.191679\pi\) | |||||||
\(968\) | −98.1789 | − | 26.3070i | −3.15559 | − | 0.845538i | ||||
\(969\) | −12.9368 | − | 3.46641i | −0.415590 | − | 0.111357i | ||||
\(970\) | −74.8889 | − | 74.8889i | −2.40454 | − | 2.40454i | ||||
\(971\) | 38.0478 | − | 21.9669i | 1.22101 | − | 0.704951i | 0.255878 | − | 0.966709i | \(-0.417636\pi\) |
0.965134 | + | 0.261758i | \(0.0843022\pi\) | |||||||
\(972\) | −2.72725 | + | 4.72373i | −0.0874766 | + | 0.151514i | ||||
\(973\) | 10.4041 | + | 10.5549i | 0.333539 | + | 0.338374i | ||||
\(974\) | − | 34.0126i | − | 1.08984i | ||||||
\(975\) | −15.9663 | + | 3.64893i | −0.511330 | + | 0.116859i | ||||
\(976\) | − | 9.49003i | − | 0.303768i | ||||||
\(977\) | −9.68314 | − | 36.1380i | −0.309791 | − | 1.15616i | −0.928742 | − | 0.370727i | \(-0.879109\pi\) |
0.618951 | − | 0.785430i | \(-0.287558\pi\) | |||||||
\(978\) | 33.8896 | + | 19.5662i | 1.08367 | + | 0.625656i | ||||
\(979\) | 0.331885 | + | 0.574842i | 0.0106071 | + | 0.0183720i | ||||
\(980\) | −114.354 | + | 28.8839i | −3.65291 | + | 0.922662i | ||||
\(981\) | 5.00102 | + | 1.34002i | 0.159670 | + | 0.0427836i | ||||
\(982\) | −13.6993 | + | 51.1264i | −0.437162 | + | 1.63151i | ||||
\(983\) | 24.9501 | − | 24.9501i | 0.795786 | − | 0.795786i | −0.186642 | − | 0.982428i | \(-0.559761\pi\) |
0.982428 | + | 0.186642i | \(0.0597606\pi\) | |||||||
\(984\) | 7.30069 | + | 12.6452i | 0.232738 | + | 0.403113i | ||||
\(985\) | 20.3424 | − | 35.2340i | 0.648162 | − | 1.12265i | ||||
\(986\) | −11.7630 | − | 43.9003i | −0.374612 | − | 1.39807i | ||||
\(987\) | 12.1049 | + | 21.3192i | 0.385305 | + | 0.678598i | ||||
\(988\) | −61.3609 | + | 97.7164i | −1.95215 | + | 3.10877i | ||||
\(989\) | 3.26806 | 0.103918 | ||||||||
\(990\) | 3.85088 | − | 1.03184i | 0.122389 | − | 0.0327941i | ||||
\(991\) | −4.26766 | + | 7.39180i | −0.135567 | + | 0.234808i | −0.925814 | − | 0.377980i | \(-0.876619\pi\) |
0.790247 | + | 0.612788i | \(0.209952\pi\) | |||||||
\(992\) | −42.1090 | − | 72.9350i | −1.33696 | − | 2.31569i | ||||
\(993\) | 20.9502 | + | 20.9502i | 0.664834 | + | 0.664834i | ||||
\(994\) | −15.4585 | + | 4.02310i | −0.490314 | + | 0.127605i | ||||
\(995\) | −2.38763 | + | 8.91077i | −0.0756931 | + | 0.282490i | ||||
\(996\) | −9.86229 | − | 9.86229i | −0.312498 | − | 0.312498i | ||||
\(997\) | −30.8124 | + | 17.7895i | −0.975837 | + | 0.563400i | −0.901011 | − | 0.433797i | \(-0.857174\pi\) |
−0.0748264 | + | 0.997197i | \(0.523840\pi\) | |||||||
\(998\) | 82.4557 | + | 47.6058i | 2.61009 | + | 1.50694i | ||||
\(999\) | 1.71767 | + | 6.41041i | 0.0543445 | + | 0.202817i |
(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 | 273.2.by.d.97.1 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.e.370.8 | 32 | |||
7.6 | odd | 2 | 273.2.by.c.97.1 | yes | 32 | ||
13.11 | odd | 12 | 273.2.by.c.76.1 | ✓ | 32 | ||
21.20 | even | 2 | 819.2.fm.f.370.8 | 32 | |||
39.11 | even | 12 | 819.2.fm.f.622.8 | 32 | |||
91.76 | even | 12 | inner | 273.2.by.d.76.1 | yes | 32 | |
273.167 | odd | 12 | 819.2.fm.e.622.8 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.76.1 | ✓ | 32 | 13.11 | odd | 12 | ||
273.2.by.c.97.1 | yes | 32 | 7.6 | odd | 2 | ||
273.2.by.d.76.1 | yes | 32 | 91.76 | even | 12 | inner | |
273.2.by.d.97.1 | yes | 32 | 1.1 | even | 1 | trivial | |
819.2.fm.e.370.8 | 32 | 3.2 | odd | 2 | |||
819.2.fm.e.622.8 | 32 | 273.167 | odd | 12 | |||
819.2.fm.f.370.8 | 32 | 21.20 | even | 2 | |||
819.2.fm.f.622.8 | 32 | 39.11 | even | 12 |