Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [714,2,Mod(83,714)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(714, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("714.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 714 = 2 \cdot 3 \cdot 7 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 714.w (of order \(8\), 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: | \(5.70131870432\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 83.6 | ||
Character | \(\chi\) | \(=\) | 714.83 |
Dual form | 714.2.w.f.671.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/714\mathbb{Z}\right)^\times\).
\(n\) | \(239\) | \(409\) | \(547\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | −1.28722 | + | 1.15890i | −0.743178 | + | 0.669093i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 1.23141 | − | 0.510066i | 0.550702 | − | 0.228108i | −0.0899408 | − | 0.995947i | \(-0.528668\pi\) |
0.640643 | + | 0.767839i | \(0.278668\pi\) | |||||||
\(6\) | 0.0907356 | − | 1.72967i | 0.0370426 | − | 0.706136i | ||||
\(7\) | 0.516019 | − | 2.59494i | 0.195037 | − | 0.980796i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.313886 | − | 2.98353i | 0.104629 | − | 0.994511i | ||||
\(10\) | −0.510066 | + | 1.23141i | −0.161297 | + | 0.389405i | ||||
\(11\) | −0.931721 | − | 0.385932i | −0.280925 | − | 0.116363i | 0.237772 | − | 0.971321i | \(-0.423583\pi\) |
−0.518697 | + | 0.854958i | \(0.673583\pi\) | |||||||
\(12\) | 1.15890 | + | 1.28722i | 0.334547 | + | 0.371589i | ||||
\(13\) | −4.76028 | −1.32026 | −0.660131 | − | 0.751150i | \(-0.729499\pi\) | ||||
−0.660131 | + | 0.751150i | \(0.729499\pi\) | |||||||
\(14\) | 1.47002 | + | 2.19978i | 0.392879 | + | 0.587916i | ||||
\(15\) | −0.993980 | + | 2.08365i | −0.256644 | + | 0.537997i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −3.30769 | + | 2.46154i | −0.802234 | + | 0.597010i | ||||
\(18\) | 1.88773 | + | 2.33163i | 0.444941 | + | 0.549570i | ||||
\(19\) | −4.09837 | + | 4.09837i | −0.940232 | + | 0.940232i | −0.998312 | − | 0.0580804i | \(-0.981502\pi\) |
0.0580804 | + | 0.998312i | \(0.481502\pi\) | |||||||
\(20\) | −0.510066 | − | 1.23141i | −0.114054 | − | 0.275351i | ||||
\(21\) | 2.34306 | + | 3.93829i | 0.511297 | + | 0.859404i | ||||
\(22\) | 0.931721 | − | 0.385932i | 0.198644 | − | 0.0822809i | ||||
\(23\) | 4.55721 | + | 1.88766i | 0.950243 | + | 0.393604i | 0.803322 | − | 0.595545i | \(-0.203064\pi\) |
0.146921 | + | 0.989148i | \(0.453064\pi\) | |||||||
\(24\) | −1.72967 | − | 0.0907356i | −0.353068 | − | 0.0185213i | ||||
\(25\) | −2.27934 | + | 2.27934i | −0.455867 | + | 0.455867i | ||||
\(26\) | 3.36602 | − | 3.36602i | 0.660131 | − | 0.660131i | ||||
\(27\) | 3.05359 | + | 4.20424i | 0.587663 | + | 0.809106i | ||||
\(28\) | −2.59494 | − | 0.516019i | −0.490398 | − | 0.0975185i | ||||
\(29\) | 1.86801 | + | 4.50977i | 0.346880 | + | 0.837443i | 0.996985 | + | 0.0775981i | \(0.0247251\pi\) |
−0.650105 | + | 0.759845i | \(0.725275\pi\) | |||||||
\(30\) | −0.770515 | − | 2.17621i | −0.140676 | − | 0.397320i | ||||
\(31\) | −7.40204 | + | 3.06602i | −1.32944 | + | 0.550674i | −0.930497 | − | 0.366299i | \(-0.880625\pi\) |
−0.398948 | + | 0.916974i | \(0.630625\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | 1.64659 | − | 0.582995i | 0.286635 | − | 0.101486i | ||||
\(34\) | 0.598324 | − | 4.07946i | 0.102612 | − | 0.699622i | ||||
\(35\) | −0.688161 | − | 3.45864i | −0.116320 | − | 0.584616i | ||||
\(36\) | −2.98353 | − | 0.313886i | −0.497256 | − | 0.0523143i | ||||
\(37\) | −1.86713 | − | 4.50765i | −0.306954 | − | 0.741053i | −0.999801 | − | 0.0199680i | \(-0.993644\pi\) |
0.692846 | − | 0.721085i | \(-0.256356\pi\) | |||||||
\(38\) | − | 5.79598i | − | 0.940232i | ||||||
\(39\) | 6.12754 | − | 5.51670i | 0.981191 | − | 0.883379i | ||||
\(40\) | 1.23141 | + | 0.510066i | 0.194703 | + | 0.0806485i | ||||
\(41\) | −7.95541 | − | 3.29524i | −1.24243 | − | 0.514630i | −0.337955 | − | 0.941162i | \(-0.609735\pi\) |
−0.904472 | + | 0.426532i | \(0.859735\pi\) | |||||||
\(42\) | −4.44158 | − | 1.12800i | −0.685350 | − | 0.174054i | ||||
\(43\) | −6.70448 | + | 6.70448i | −1.02242 | + | 1.02242i | −0.0226810 | + | 0.999743i | \(0.507220\pi\) |
−0.999743 | + | 0.0226810i | \(0.992780\pi\) | |||||||
\(44\) | −0.385932 | + | 0.931721i | −0.0581814 | + | 0.140462i | ||||
\(45\) | −1.13528 | − | 3.83405i | −0.169237 | − | 0.571547i | ||||
\(46\) | −4.55721 | + | 1.88766i | −0.671923 | + | 0.278320i | ||||
\(47\) | 9.15054i | 1.33474i | 0.744724 | + | 0.667372i | \(0.232581\pi\) | ||||
−0.744724 | + | 0.667372i | \(0.767419\pi\) | |||||||
\(48\) | 1.28722 | − | 1.15890i | 0.185795 | − | 0.167273i | ||||
\(49\) | −6.46745 | − | 2.67808i | −0.923921 | − | 0.382583i | ||||
\(50\) | − | 3.22347i | − | 0.455867i | ||||||
\(51\) | 1.40506 | − | 7.00184i | 0.196747 | − | 0.980454i | ||||
\(52\) | 4.76028i | 0.660131i | ||||||||
\(53\) | 9.36723 | − | 9.36723i | 1.28669 | − | 1.28669i | 0.349901 | − | 0.936787i | \(-0.386215\pi\) |
0.936787 | − | 0.349901i | \(-0.113785\pi\) | |||||||
\(54\) | −5.13206 | − | 0.813632i | −0.698384 | − | 0.110721i | ||||
\(55\) | −1.34418 | −0.181249 | ||||||||
\(56\) | 2.19978 | − | 1.47002i | 0.293958 | − | 0.196440i | ||||
\(57\) | 0.525901 | − | 10.0251i | 0.0696573 | − | 1.32786i | ||||
\(58\) | −4.50977 | − | 1.86801i | −0.592162 | − | 0.245281i | ||||
\(59\) | −0.517174 | + | 0.517174i | −0.0673303 | + | 0.0673303i | −0.739970 | − | 0.672640i | \(-0.765160\pi\) |
0.672640 | + | 0.739970i | \(0.265160\pi\) | |||||||
\(60\) | 2.08365 | + | 0.993980i | 0.268998 | + | 0.128322i | ||||
\(61\) | 4.78410 | − | 11.5498i | 0.612541 | − | 1.47881i | −0.247658 | − | 0.968848i | \(-0.579661\pi\) |
0.860199 | − | 0.509958i | \(-0.170339\pi\) | |||||||
\(62\) | 3.06602 | − | 7.40204i | 0.389385 | − | 0.940060i | ||||
\(63\) | −7.58013 | − | 2.35408i | −0.955006 | − | 0.296586i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −5.86184 | + | 2.42805i | −0.727072 | + | 0.301163i | ||||
\(66\) | −0.752076 | + | 1.57656i | −0.0925741 | + | 0.194061i | ||||
\(67\) | 2.49006 | 0.304209 | 0.152105 | − | 0.988364i | \(-0.451395\pi\) | ||||
0.152105 | + | 0.988364i | \(0.451395\pi\) | |||||||
\(68\) | 2.46154 | + | 3.30769i | 0.298505 | + | 0.401117i | ||||
\(69\) | −8.05375 | + | 2.85153i | −0.969558 | + | 0.343283i | ||||
\(70\) | 2.93223 | + | 1.95902i | 0.350468 | + | 0.234148i | ||||
\(71\) | −7.37814 | + | 3.05612i | −0.875624 | + | 0.362695i | −0.774798 | − | 0.632209i | \(-0.782148\pi\) |
−0.100826 | + | 0.994904i | \(0.532148\pi\) | |||||||
\(72\) | 2.33163 | − | 1.88773i | 0.274785 | − | 0.222471i | ||||
\(73\) | 2.62613 | + | 6.34003i | 0.307365 | + | 0.742045i | 0.999789 | + | 0.0205537i | \(0.00654290\pi\) |
−0.692424 | + | 0.721491i | \(0.743457\pi\) | |||||||
\(74\) | 4.50765 | + | 1.86713i | 0.524004 | + | 0.217050i | ||||
\(75\) | 0.292483 | − | 5.57554i | 0.0337730 | − | 0.643808i | ||||
\(76\) | 4.09837 | + | 4.09837i | 0.470116 | + | 0.470116i | ||||
\(77\) | −1.48226 | + | 2.21861i | −0.168919 | + | 0.252835i | ||||
\(78\) | −0.431926 | + | 8.23372i | −0.0489060 | + | 0.932285i | ||||
\(79\) | 1.01712 | − | 2.45554i | 0.114434 | − | 0.276269i | −0.856277 | − | 0.516516i | \(-0.827228\pi\) |
0.970712 | + | 0.240247i | \(0.0772285\pi\) | |||||||
\(80\) | −1.23141 | + | 0.510066i | −0.137676 | + | 0.0570271i | ||||
\(81\) | −8.80295 | − | 1.87298i | −0.978106 | − | 0.208109i | ||||
\(82\) | 7.95541 | − | 3.29524i | 0.878529 | − | 0.363898i | ||||
\(83\) | 7.42733 | + | 7.42733i | 0.815256 | + | 0.815256i | 0.985416 | − | 0.170161i | \(-0.0544286\pi\) |
−0.170161 | + | 0.985416i | \(0.554429\pi\) | |||||||
\(84\) | 3.93829 | − | 2.34306i | 0.429702 | − | 0.255648i | ||||
\(85\) | −2.81758 | + | 4.71830i | −0.305609 | + | 0.511771i | ||||
\(86\) | − | 9.48157i | − | 1.02242i | ||||||
\(87\) | −7.63093 | − | 3.64024i | −0.818121 | − | 0.390274i | ||||
\(88\) | −0.385932 | − | 0.931721i | −0.0411405 | − | 0.0993218i | ||||
\(89\) | − | 11.3660i | − | 1.20480i | −0.798196 | − | 0.602398i | \(-0.794212\pi\) | ||
0.798196 | − | 0.602398i | \(-0.205788\pi\) | |||||||
\(90\) | 3.51385 | + | 1.90832i | 0.370392 | + | 0.201155i | ||||
\(91\) | −2.45639 | + | 12.3526i | −0.257500 | + | 1.29491i | ||||
\(92\) | 1.88766 | − | 4.55721i | 0.196802 | − | 0.475122i | ||||
\(93\) | 5.97484 | − | 12.5249i | 0.619563 | − | 1.29877i | ||||
\(94\) | −6.47041 | − | 6.47041i | −0.667372 | − | 0.667372i | ||||
\(95\) | −2.95633 | + | 7.13721i | −0.303313 | + | 0.732263i | ||||
\(96\) | −0.0907356 | + | 1.72967i | −0.00926066 | + | 0.176534i | ||||
\(97\) | −1.10080 | − | 2.65756i | −0.111769 | − | 0.269835i | 0.858091 | − | 0.513498i | \(-0.171651\pi\) |
−0.969860 | + | 0.243664i | \(0.921651\pi\) | |||||||
\(98\) | 6.46687 | − | 2.67949i | 0.653252 | − | 0.270669i | ||||
\(99\) | −1.44389 | + | 2.65868i | −0.145117 | + | 0.267208i | ||||
\(100\) | 2.27934 | + | 2.27934i | 0.227934 | + | 0.227934i | ||||
\(101\) | −11.4442 | −1.13874 | −0.569370 | − | 0.822082i | \(-0.692813\pi\) | ||||
−0.569370 | + | 0.822082i | \(0.692813\pi\) | |||||||
\(102\) | 3.95753 | + | 5.94458i | 0.391854 | + | 0.588601i | ||||
\(103\) | − | 14.2463i | − | 1.40373i | −0.712310 | − | 0.701865i | \(-0.752351\pi\) | ||
0.712310 | − | 0.701865i | \(-0.247649\pi\) | |||||||
\(104\) | −3.36602 | − | 3.36602i | −0.330066 | − | 0.330066i | ||||
\(105\) | 4.89404 | + | 3.65452i | 0.477610 | + | 0.356645i | ||||
\(106\) | 13.2473i | 1.28669i | ||||||||
\(107\) | 6.89968 | + | 16.6573i | 0.667017 | + | 1.61032i | 0.786576 | + | 0.617494i | \(0.211852\pi\) |
−0.119559 | + | 0.992827i | \(0.538148\pi\) | |||||||
\(108\) | 4.20424 | − | 3.05359i | 0.404553 | − | 0.293832i | ||||
\(109\) | 11.5373 | + | 4.77892i | 1.10508 | + | 0.457737i | 0.859239 | − | 0.511574i | \(-0.170938\pi\) |
0.245836 | + | 0.969311i | \(0.420938\pi\) | |||||||
\(110\) | 0.950479 | − | 0.950479i | 0.0906246 | − | 0.0906246i | ||||
\(111\) | 7.62735 | + | 3.63853i | 0.723956 | + | 0.345354i | ||||
\(112\) | −0.516019 | + | 2.59494i | −0.0487592 | + | 0.245199i | ||||
\(113\) | −15.5762 | − | 6.45188i | −1.46529 | − | 0.606942i | −0.499509 | − | 0.866309i | \(-0.666486\pi\) |
−0.965779 | + | 0.259367i | \(0.916486\pi\) | |||||||
\(114\) | 6.71698 | + | 7.46071i | 0.629103 | + | 0.698760i | ||||
\(115\) | 6.57461 | 0.613085 | ||||||||
\(116\) | 4.50977 | − | 1.86801i | 0.418721 | − | 0.173440i | ||||
\(117\) | −1.49418 | + | 14.2024i | −0.138137 | + | 1.31302i | ||||
\(118\) | − | 0.731394i | − | 0.0673303i | ||||||
\(119\) | 4.68071 | + | 9.85347i | 0.429080 | + | 0.903266i | ||||
\(120\) | −2.17621 | + | 0.770515i | −0.198660 | + | 0.0703380i | ||||
\(121\) | −7.05901 | − | 7.05901i | −0.641728 | − | 0.641728i | ||||
\(122\) | 4.78410 | + | 11.5498i | 0.433132 | + | 1.04567i | ||||
\(123\) | 14.0593 | − | 4.97785i | 1.26768 | − | 0.448837i | ||||
\(124\) | 3.06602 | + | 7.40204i | 0.275337 | + | 0.664722i | ||||
\(125\) | −4.19451 | + | 10.1264i | −0.375168 | + | 0.905737i | ||||
\(126\) | 7.02454 | − | 3.69538i | 0.625796 | − | 0.329210i | ||||
\(127\) | −6.12381 | + | 6.12381i | −0.543400 | + | 0.543400i | −0.924524 | − | 0.381124i | \(-0.875537\pi\) |
0.381124 | + | 0.924524i | \(0.375537\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | 0.860315 | − | 16.4000i | 0.0757465 | − | 1.44394i | ||||
\(130\) | 2.42805 | − | 5.86184i | 0.212954 | − | 0.514118i | ||||
\(131\) | 6.73603 | − | 2.79016i | 0.588530 | − | 0.243777i | −0.0684881 | − | 0.997652i | \(-0.521818\pi\) |
0.657018 | + | 0.753875i | \(0.271818\pi\) | |||||||
\(132\) | −0.582995 | − | 1.64659i | −0.0507432 | − | 0.143317i | ||||
\(133\) | 8.52020 | + | 12.7499i | 0.738795 | + | 1.10556i | ||||
\(134\) | −1.76074 | + | 1.76074i | −0.152105 | + | 0.152105i | ||||
\(135\) | 5.90465 | + | 3.61960i | 0.508191 | + | 0.311526i | ||||
\(136\) | −4.07946 | − | 0.598324i | −0.349811 | − | 0.0513058i | ||||
\(137\) | 3.38853i | 0.289501i | 0.989468 | + | 0.144751i | \(0.0462380\pi\) | ||||
−0.989468 | + | 0.144751i | \(0.953762\pi\) | |||||||
\(138\) | 3.67853 | − | 7.71120i | 0.313137 | − | 0.656421i | ||||
\(139\) | −4.74813 | + | 1.96674i | −0.402731 | + | 0.166817i | −0.574849 | − | 0.818260i | \(-0.694939\pi\) |
0.172117 | + | 0.985076i | \(0.444939\pi\) | |||||||
\(140\) | −3.45864 | + | 0.688161i | −0.292308 | + | 0.0581602i | ||||
\(141\) | −10.6046 | − | 11.7788i | −0.893068 | − | 0.991953i | ||||
\(142\) | 3.05612 | − | 7.37814i | 0.256464 | − | 0.619159i | ||||
\(143\) | 4.43525 | + | 1.83714i | 0.370894 | + | 0.153629i | ||||
\(144\) | −0.313886 | + | 2.98353i | −0.0261571 | + | 0.248628i | ||||
\(145\) | 4.60056 | + | 4.60056i | 0.382056 | + | 0.382056i | ||||
\(146\) | −6.34003 | − | 2.62613i | −0.524705 | − | 0.217340i | ||||
\(147\) | 11.4287 | − | 4.04786i | 0.942622 | − | 0.333862i | ||||
\(148\) | −4.50765 | + | 1.86713i | −0.370527 | + | 0.153477i | ||||
\(149\) | 16.7409 | 1.37147 | 0.685735 | − | 0.727851i | \(-0.259481\pi\) | ||||
0.685735 | + | 0.727851i | \(0.259481\pi\) | |||||||
\(150\) | 3.73569 | + | 4.14932i | 0.305018 | + | 0.338791i | ||||
\(151\) | −10.4445 | − | 10.4445i | −0.849964 | − | 0.849964i | 0.140165 | − | 0.990128i | \(-0.455237\pi\) |
−0.990128 | + | 0.140165i | \(0.955237\pi\) | |||||||
\(152\) | −5.79598 | −0.470116 | ||||||||
\(153\) | 6.30584 | + | 10.6413i | 0.509797 | + | 0.860295i | ||||
\(154\) | −0.520684 | − | 2.61691i | −0.0419579 | − | 0.210877i | ||||
\(155\) | −7.55105 | + | 7.55105i | −0.606515 | + | 0.606515i | ||||
\(156\) | −5.51670 | − | 6.12754i | −0.441689 | − | 0.490596i | ||||
\(157\) | 20.0079 | 1.59680 | 0.798401 | − | 0.602126i | \(-0.205680\pi\) | ||||
0.798401 | + | 0.602126i | \(0.205680\pi\) | |||||||
\(158\) | 1.01712 | + | 2.45554i | 0.0809174 | + | 0.195352i | ||||
\(159\) | −1.20200 | + | 22.9134i | −0.0953246 | + | 1.81715i | ||||
\(160\) | 0.510066 | − | 1.23141i | 0.0403243 | − | 0.0973514i | ||||
\(161\) | 7.24996 | − | 10.8516i | 0.571377 | − | 0.855227i | ||||
\(162\) | 7.54902 | − | 4.90023i | 0.593107 | − | 0.384999i | ||||
\(163\) | −7.03182 | − | 2.91268i | −0.550775 | − | 0.228138i | 0.0898999 | − | 0.995951i | \(-0.471345\pi\) |
−0.640675 | + | 0.767812i | \(0.721345\pi\) | |||||||
\(164\) | −3.29524 | + | 7.95541i | −0.257315 | + | 0.621213i | ||||
\(165\) | 1.73026 | − | 1.55777i | 0.134701 | − | 0.121273i | ||||
\(166\) | −10.5038 | −0.815256 | ||||||||
\(167\) | 3.72067 | + | 8.98248i | 0.287914 | + | 0.695085i | 0.999975 | − | 0.00703172i | \(-0.00223828\pi\) |
−0.712061 | + | 0.702117i | \(0.752238\pi\) | |||||||
\(168\) | −1.12800 | + | 4.44158i | −0.0870269 | + | 0.342675i | ||||
\(169\) | 9.66022 | 0.743094 | ||||||||
\(170\) | −1.34401 | − | 5.32867i | −0.103081 | − | 0.408690i | ||||
\(171\) | 10.9412 | + | 13.5141i | 0.836696 | + | 1.03345i | ||||
\(172\) | 6.70448 | + | 6.70448i | 0.511212 | + | 0.511212i | ||||
\(173\) | 0.0514813 | + | 0.124287i | 0.00391405 | + | 0.00944935i | 0.925824 | − | 0.377954i | \(-0.123372\pi\) |
−0.921910 | + | 0.387403i | \(0.873372\pi\) | |||||||
\(174\) | 7.96992 | − | 2.82184i | 0.604198 | − | 0.213923i | ||||
\(175\) | 4.73856 | + | 7.09092i | 0.358202 | + | 0.536023i | ||||
\(176\) | 0.931721 | + | 0.385932i | 0.0702311 | + | 0.0290907i | ||||
\(177\) | 0.0663635 | − | 1.26507i | 0.00498818 | − | 0.0950887i | ||||
\(178\) | 8.03699 | + | 8.03699i | 0.602398 | + | 0.602398i | ||||
\(179\) | −15.7812 | − | 15.7812i | −1.17954 | − | 1.17954i | −0.979862 | − | 0.199678i | \(-0.936010\pi\) |
−0.199678 | − | 0.979862i | \(-0.563990\pi\) | |||||||
\(180\) | −3.83405 | + | 1.13528i | −0.285773 | + | 0.0846186i | ||||
\(181\) | −13.2590 | − | 5.49208i | −0.985537 | − | 0.408223i | −0.169063 | − | 0.985605i | \(-0.554074\pi\) |
−0.816474 | + | 0.577382i | \(0.804074\pi\) | |||||||
\(182\) | −6.99770 | − | 10.4716i | −0.518704 | − | 0.776204i | ||||
\(183\) | 7.22695 | + | 20.4115i | 0.534231 | + | 1.50886i | ||||
\(184\) | 1.88766 | + | 4.55721i | 0.139160 | + | 0.335962i | ||||
\(185\) | −4.59840 | − | 4.59840i | −0.338081 | − | 0.338081i | ||||
\(186\) | 4.63159 | + | 13.0813i | 0.339605 | + | 0.959167i | ||||
\(187\) | 4.03183 | − | 1.01692i | 0.294837 | − | 0.0743647i | ||||
\(188\) | 9.15054 | 0.667372 | ||||||||
\(189\) | 12.4855 | − | 5.75441i | 0.908184 | − | 0.418572i | ||||
\(190\) | −2.95633 | − | 7.13721i | −0.214475 | − | 0.517788i | ||||
\(191\) | −9.06002 | −0.655560 | −0.327780 | − | 0.944754i | \(-0.606300\pi\) | ||||
−0.327780 | + | 0.944754i | \(0.606300\pi\) | |||||||
\(192\) | −1.15890 | − | 1.28722i | −0.0836367 | − | 0.0928973i | ||||
\(193\) | 1.63185 | − | 3.93964i | 0.117463 | − | 0.283582i | −0.854202 | − | 0.519941i | \(-0.825954\pi\) |
0.971666 | + | 0.236359i | \(0.0759541\pi\) | |||||||
\(194\) | 2.65756 | + | 1.10080i | 0.190802 | + | 0.0790327i | ||||
\(195\) | 4.73162 | − | 9.91876i | 0.338838 | − | 0.710297i | ||||
\(196\) | −2.67808 | + | 6.46745i | −0.191291 | + | 0.461961i | ||||
\(197\) | −4.49766 | + | 10.8583i | −0.320445 | + | 0.773622i | 0.678783 | + | 0.734339i | \(0.262508\pi\) |
−0.999228 | + | 0.0392835i | \(0.987492\pi\) | |||||||
\(198\) | −0.858986 | − | 2.90096i | −0.0610455 | − | 0.206162i | ||||
\(199\) | −2.05133 | − | 4.95235i | −0.145415 | − | 0.351063i | 0.834344 | − | 0.551244i | \(-0.185847\pi\) |
−0.979759 | + | 0.200182i | \(0.935847\pi\) | |||||||
\(200\) | −3.22347 | −0.227934 | ||||||||
\(201\) | −3.20526 | + | 2.88574i | −0.226082 | + | 0.203544i | ||||
\(202\) | 8.09226 | − | 8.09226i | 0.569370 | − | 0.569370i | ||||
\(203\) | 12.6665 | − | 2.52024i | 0.889015 | − | 0.176886i | ||||
\(204\) | −7.00184 | − | 1.40506i | −0.490227 | − | 0.0983736i | ||||
\(205\) | −11.4772 | −0.801599 | ||||||||
\(206\) | 10.0737 | + | 10.0737i | 0.701865 | + | 0.701865i | ||||
\(207\) | 7.06233 | − | 13.0041i | 0.490866 | − | 0.903845i | ||||
\(208\) | 4.76028 | 0.330066 | ||||||||
\(209\) | 5.40024 | − | 2.23685i | 0.373542 | − | 0.154726i | ||||
\(210\) | −6.04475 | + | 0.876472i | −0.417127 | + | 0.0604823i | ||||
\(211\) | −5.70163 | − | 2.36169i | −0.392516 | − | 0.162585i | 0.177691 | − | 0.984086i | \(-0.443137\pi\) |
−0.570207 | + | 0.821501i | \(0.693137\pi\) | |||||||
\(212\) | −9.36723 | − | 9.36723i | −0.643344 | − | 0.643344i | ||||
\(213\) | 5.95555 | − | 12.4845i | 0.408068 | − | 0.855421i | ||||
\(214\) | −16.6573 | − | 6.89968i | −1.13867 | − | 0.471652i | ||||
\(215\) | −4.83622 | + | 11.6757i | −0.329828 | + | 0.796275i | ||||
\(216\) | −0.813632 | + | 5.13206i | −0.0553606 | + | 0.349192i | ||||
\(217\) | 4.13656 | + | 20.7900i | 0.280808 | + | 1.41132i | ||||
\(218\) | −11.5373 | + | 4.77892i | −0.781406 | + | 0.323669i | ||||
\(219\) | −10.7279 | − | 5.11761i | −0.724924 | − | 0.345816i | ||||
\(220\) | 1.34418i | 0.0906246i | ||||||||
\(221\) | 15.7455 | − | 11.7176i | 1.05916 | − | 0.788211i | ||||
\(222\) | −7.96618 | + | 2.82052i | −0.534655 | + | 0.189301i | ||||
\(223\) | 9.16074 | − | 9.16074i | 0.613448 | − | 0.613448i | −0.330395 | − | 0.943843i | \(-0.607182\pi\) |
0.943843 | + | 0.330395i | \(0.107182\pi\) | |||||||
\(224\) | −1.47002 | − | 2.19978i | −0.0982199 | − | 0.146979i | ||||
\(225\) | 6.08502 | + | 7.51592i | 0.405668 | + | 0.501062i | ||||
\(226\) | 15.5762 | − | 6.45188i | 1.03612 | − | 0.429173i | ||||
\(227\) | 0.610817 | − | 1.47464i | 0.0405414 | − | 0.0978755i | −0.902312 | − | 0.431084i | \(-0.858131\pi\) |
0.942853 | + | 0.333208i | \(0.108131\pi\) | |||||||
\(228\) | −10.0251 | − | 0.525901i | −0.663931 | − | 0.0348287i | ||||
\(229\) | 2.84065 | + | 2.84065i | 0.187716 | + | 0.187716i | 0.794708 | − | 0.606992i | \(-0.207624\pi\) |
−0.606992 | + | 0.794708i | \(0.707624\pi\) | |||||||
\(230\) | −4.64895 | + | 4.64895i | −0.306543 | + | 0.306543i | ||||
\(231\) | −0.663166 | − | 4.57364i | −0.0436331 | − | 0.300924i | ||||
\(232\) | −1.86801 | + | 4.50977i | −0.122641 | + | 0.296081i | ||||
\(233\) | 8.32203 | + | 20.0912i | 0.545194 | + | 1.31622i | 0.921016 | + | 0.389524i | \(0.127360\pi\) |
−0.375822 | + | 0.926692i | \(0.622640\pi\) | |||||||
\(234\) | −8.98610 | − | 11.0992i | −0.587440 | − | 0.725577i | ||||
\(235\) | 4.66738 | + | 11.2681i | 0.304466 | + | 0.735047i | ||||
\(236\) | 0.517174 | + | 0.517174i | 0.0336652 | + | 0.0336652i | ||||
\(237\) | 1.53647 | + | 4.33956i | 0.0998047 | + | 0.281885i | ||||
\(238\) | −10.2772 | − | 3.65770i | −0.666173 | − | 0.237093i | ||||
\(239\) | − | 9.94764i | − | 0.643460i | −0.946832 | − | 0.321730i | \(-0.895736\pi\) | ||
0.946832 | − | 0.321730i | \(-0.104264\pi\) | |||||||
\(240\) | 0.993980 | − | 2.08365i | 0.0641611 | − | 0.134499i | ||||
\(241\) | −10.2625 | + | 4.25087i | −0.661067 | + | 0.273823i | −0.687887 | − | 0.725818i | \(-0.741462\pi\) |
0.0268207 | + | 0.999640i | \(0.491462\pi\) | |||||||
\(242\) | 9.98295 | 0.641728 | ||||||||
\(243\) | 13.5020 | − | 7.79083i | 0.866151 | − | 0.499782i | ||||
\(244\) | −11.5498 | − | 4.78410i | −0.739403 | − | 0.306271i | ||||
\(245\) | −9.33007 | + | 0.00101486i | −0.596076 | + | 6.48367e-5i | ||||
\(246\) | −6.42153 | + | 13.4613i | −0.409422 | + | 0.858259i | ||||
\(247\) | 19.5094 | − | 19.5094i | 1.24135 | − | 1.24135i | ||||
\(248\) | −7.40204 | − | 3.06602i | −0.470030 | − | 0.194693i | ||||
\(249\) | −18.1682 | − | 0.953071i | −1.15136 | − | 0.0603984i | ||||
\(250\) | −4.19451 | − | 10.1264i | −0.265284 | − | 0.640453i | ||||
\(251\) | 3.83305i | 0.241940i | 0.992656 | + | 0.120970i | \(0.0386005\pi\) | ||||
−0.992656 | + | 0.120970i | \(0.961400\pi\) | |||||||
\(252\) | −2.35408 | + | 7.58013i | −0.148293 | + | 0.477503i | ||||
\(253\) | −3.51754 | − | 3.51754i | −0.221146 | − | 0.221146i | ||||
\(254\) | − | 8.66037i | − | 0.543400i | ||||||
\(255\) | −1.84120 | − | 9.33880i | −0.115301 | − | 0.584818i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −13.3895 | − | 13.3895i | −0.835213 | − | 0.835213i | 0.153011 | − | 0.988224i | \(-0.451103\pi\) |
−0.988224 | + | 0.153011i | \(0.951103\pi\) | |||||||
\(258\) | 10.9882 | + | 12.2049i | 0.684097 | + | 0.759843i | ||||
\(259\) | −12.6606 | + | 2.51906i | −0.786690 | + | 0.156527i | ||||
\(260\) | 2.42805 | + | 5.86184i | 0.150582 | + | 0.363536i | ||||
\(261\) | 14.0414 | − | 4.15771i | 0.869140 | − | 0.257356i | ||||
\(262\) | −2.79016 | + | 6.73603i | −0.172376 | + | 0.416154i | ||||
\(263\) | −7.66293 | − | 7.66293i | −0.472517 | − | 0.472517i | 0.430212 | − | 0.902728i | \(-0.358439\pi\) |
−0.902728 | + | 0.430212i | \(0.858439\pi\) | |||||||
\(264\) | 1.57656 | + | 0.752076i | 0.0970303 | + | 0.0462871i | ||||
\(265\) | 6.75698 | − | 16.3128i | 0.415078 | − | 1.00209i | ||||
\(266\) | −15.0402 | − | 2.99084i | −0.922175 | − | 0.183380i | ||||
\(267\) | 13.1721 | + | 14.6306i | 0.806120 | + | 0.895378i | ||||
\(268\) | − | 2.49006i | − | 0.152105i | ||||||
\(269\) | −2.42386 | − | 5.85171i | −0.147785 | − | 0.356785i | 0.832600 | − | 0.553874i | \(-0.186851\pi\) |
−0.980386 | + | 0.197089i | \(0.936851\pi\) | |||||||
\(270\) | −6.73466 | + | 1.61577i | −0.409858 | + | 0.0983329i | ||||
\(271\) | 7.10388i | 0.431530i | 0.976445 | + | 0.215765i | \(0.0692245\pi\) | ||||
−0.976445 | + | 0.215765i | \(0.930776\pi\) | |||||||
\(272\) | 3.30769 | − | 2.46154i | 0.200558 | − | 0.149253i | ||||
\(273\) | −11.1536 | − | 18.7473i | −0.675046 | − | 1.13464i | ||||
\(274\) | −2.39605 | − | 2.39605i | −0.144751 | − | 0.144751i | ||||
\(275\) | 3.00337 | − | 1.24404i | 0.181110 | − | 0.0750183i | ||||
\(276\) | 2.85153 | + | 8.05375i | 0.171642 | + | 0.484779i | ||||
\(277\) | −8.41062 | + | 3.48379i | −0.505345 | + | 0.209321i | −0.620766 | − | 0.783996i | \(-0.713178\pi\) |
0.115421 | + | 0.993317i | \(0.463178\pi\) | |||||||
\(278\) | 1.96674 | − | 4.74813i | 0.117957 | − | 0.284774i | ||||
\(279\) | 6.82419 | + | 23.0466i | 0.408554 | + | 1.37976i | ||||
\(280\) | 1.95902 | − | 2.93223i | 0.117074 | − | 0.175234i | ||||
\(281\) | 2.39847 | + | 2.39847i | 0.143081 | + | 0.143081i | 0.775019 | − | 0.631938i | \(-0.217740\pi\) |
−0.631938 | + | 0.775019i | \(0.717740\pi\) | |||||||
\(282\) | 15.8274 | + | 0.830280i | 0.942511 | + | 0.0494424i | ||||
\(283\) | 3.96953 | + | 1.64423i | 0.235964 | + | 0.0977394i | 0.497532 | − | 0.867446i | \(-0.334240\pi\) |
−0.261568 | + | 0.965185i | \(0.584240\pi\) | |||||||
\(284\) | 3.05612 | + | 7.37814i | 0.181348 | + | 0.437812i | ||||
\(285\) | −4.46588 | − | 12.6133i | −0.264536 | − | 0.747146i | ||||
\(286\) | −4.43525 | + | 1.83714i | −0.262262 | + | 0.108632i | ||||
\(287\) | −12.6561 | + | 18.9434i | −0.747066 | + | 1.11820i | ||||
\(288\) | −1.88773 | − | 2.33163i | −0.111235 | − | 0.137392i | ||||
\(289\) | 4.88168 | − | 16.2840i | 0.287157 | − | 0.957883i | ||||
\(290\) | −6.50617 | −0.382056 | ||||||||
\(291\) | 4.49683 | + | 2.14516i | 0.263609 | + | 0.125751i | ||||
\(292\) | 6.34003 | − | 2.62613i | 0.371022 | − | 0.153682i | ||||
\(293\) | − | 7.39805i | − | 0.432199i | −0.976371 | − | 0.216099i | \(-0.930667\pi\) | ||
0.976371 | − | 0.216099i | \(-0.0693335\pi\) | |||||||
\(294\) | −5.21903 | + | 10.9436i | −0.304380 | + | 0.638242i | ||||
\(295\) | −0.373059 | + | 0.900645i | −0.0217204 | + | 0.0524376i | ||||
\(296\) | 1.86713 | − | 4.50765i | 0.108525 | − | 0.262002i | ||||
\(297\) | −1.22254 | − | 5.09565i | −0.0709392 | − | 0.295680i | ||||
\(298\) | −11.8376 | + | 11.8376i | −0.685735 | + | 0.685735i | ||||
\(299\) | −21.6936 | − | 8.98576i | −1.25457 | − | 0.519660i | ||||
\(300\) | −5.57554 | − | 0.292483i | −0.321904 | − | 0.0168865i | ||||
\(301\) | 13.9381 | + | 20.8574i | 0.803379 | + | 1.20220i | ||||
\(302\) | 14.7708 | 0.849964 | ||||||||
\(303\) | 14.7312 | − | 13.2627i | 0.846287 | − | 0.761923i | ||||
\(304\) | 4.09837 | − | 4.09837i | 0.235058 | − | 0.235058i | ||||
\(305\) | − | 16.6628i | − | 0.954108i | ||||||
\(306\) | −11.9834 | − | 3.06560i | −0.685046 | − | 0.175249i | ||||
\(307\) | 0.326994i | 0.0186625i | 0.999956 | + | 0.00933126i | \(0.00297028\pi\) | ||||
−0.999956 | + | 0.00933126i | \(0.997030\pi\) | |||||||
\(308\) | 2.21861 | + | 1.48226i | 0.126417 | + | 0.0844594i | ||||
\(309\) | 16.5101 | + | 18.3382i | 0.939226 | + | 1.04322i | ||||
\(310\) | − | 10.6788i | − | 0.606515i | ||||||
\(311\) | 15.7681 | − | 6.53137i | 0.894128 | − | 0.370360i | 0.112169 | − | 0.993689i | \(-0.464220\pi\) |
0.781960 | + | 0.623329i | \(0.214220\pi\) | |||||||
\(312\) | 8.23372 | + | 0.431926i | 0.466142 | + | 0.0244530i | ||||
\(313\) | −2.51545 | + | 6.07284i | −0.142182 | + | 0.343257i | −0.978889 | − | 0.204394i | \(-0.934478\pi\) |
0.836707 | + | 0.547651i | \(0.184478\pi\) | |||||||
\(314\) | −14.1477 | + | 14.1477i | −0.798401 | + | 0.798401i | ||||
\(315\) | −10.5350 | + | 0.967536i | −0.593578 | + | 0.0545145i | ||||
\(316\) | −2.45554 | − | 1.01712i | −0.138135 | − | 0.0572172i | ||||
\(317\) | −2.38547 | − | 0.988096i | −0.133982 | − | 0.0554970i | 0.314685 | − | 0.949196i | \(-0.398101\pi\) |
−0.448667 | + | 0.893699i | \(0.648101\pi\) | |||||||
\(318\) | −15.3523 | − | 17.0522i | −0.860914 | − | 0.956239i | ||||
\(319\) | − | 4.92277i | − | 0.275622i | ||||||
\(320\) | 0.510066 | + | 1.23141i | 0.0285136 | + | 0.0688378i | ||||
\(321\) | −28.1856 | − | 13.4456i | −1.57317 | − | 0.750460i | ||||
\(322\) | 2.54675 | + | 12.7998i | 0.141925 | + | 0.713302i | ||||
\(323\) | 3.46787 | − | 23.6445i | 0.192957 | − | 1.31561i | ||||
\(324\) | −1.87298 | + | 8.80295i | −0.104054 | + | 0.489053i | ||||
\(325\) | 10.8503 | − | 10.8503i | 0.601864 | − | 0.601864i | ||||
\(326\) | 7.03182 | − | 2.91268i | 0.389457 | − | 0.161318i | ||||
\(327\) | −20.3894 | + | 7.21911i | −1.12754 | + | 0.399218i | ||||
\(328\) | −3.29524 | − | 7.95541i | −0.181949 | − | 0.439264i | ||||
\(329\) | 23.7451 | + | 4.72186i | 1.30911 | + | 0.260324i | ||||
\(330\) | −0.121965 | + | 2.32499i | −0.00671395 | + | 0.127987i | ||||
\(331\) | 1.86769 | − | 1.86769i | 0.102658 | − | 0.102658i | −0.653912 | − | 0.756570i | \(-0.726874\pi\) |
0.756570 | + | 0.653912i | \(0.226874\pi\) | |||||||
\(332\) | 7.42733 | − | 7.42733i | 0.407628 | − | 0.407628i | ||||
\(333\) | −14.0348 | + | 4.15576i | −0.769102 | + | 0.227734i | ||||
\(334\) | −8.98248 | − | 3.72067i | −0.491500 | − | 0.203586i | ||||
\(335\) | 3.06628 | − | 1.27009i | 0.167529 | − | 0.0693927i | ||||
\(336\) | −2.34306 | − | 3.93829i | −0.127824 | − | 0.214851i | ||||
\(337\) | −2.35557 | − | 5.68685i | −0.128316 | − | 0.309783i | 0.846645 | − | 0.532158i | \(-0.178619\pi\) |
−0.974961 | + | 0.222376i | \(0.928619\pi\) | |||||||
\(338\) | −6.83081 | + | 6.83081i | −0.371547 | + | 0.371547i | ||||
\(339\) | 27.5272 | − | 9.74633i | 1.49507 | − | 0.529348i | ||||
\(340\) | 4.71830 | + | 2.81758i | 0.255886 | + | 0.152804i | ||||
\(341\) | 8.07991 | 0.437552 | ||||||||
\(342\) | −17.2925 | − | 1.81927i | −0.935071 | − | 0.0983751i | ||||
\(343\) | −10.2868 | + | 15.4007i | −0.555435 | + | 0.831560i | ||||
\(344\) | −9.48157 | −0.511212 | ||||||||
\(345\) | −8.46299 | + | 7.61934i | −0.455632 | + | 0.410211i | ||||
\(346\) | −0.124287 | − | 0.0514813i | −0.00668170 | − | 0.00276765i | ||||
\(347\) | −10.4570 | + | 25.2454i | −0.561359 | + | 1.35524i | 0.347320 | + | 0.937747i | \(0.387092\pi\) |
−0.908679 | + | 0.417495i | \(0.862908\pi\) | |||||||
\(348\) | −3.64024 | + | 7.63093i | −0.195137 | + | 0.409061i | ||||
\(349\) | 3.80377 | + | 3.80377i | 0.203611 | + | 0.203611i | 0.801545 | − | 0.597934i | \(-0.204012\pi\) |
−0.597934 | + | 0.801545i | \(0.704012\pi\) | |||||||
\(350\) | −8.36471 | − | 1.66337i | −0.447113 | − | 0.0889109i | ||||
\(351\) | −14.5359 | − | 20.0133i | −0.775870 | − | 1.06823i | ||||
\(352\) | −0.931721 | + | 0.385932i | −0.0496609 | + | 0.0205702i | ||||
\(353\) | 19.1118i | 1.01722i | 0.860998 | + | 0.508609i | \(0.169840\pi\) | ||||
−0.860998 | + | 0.508609i | \(0.830160\pi\) | |||||||
\(354\) | 0.847615 | + | 0.941467i | 0.0450502 | + | 0.0500384i | ||||
\(355\) | −7.52667 | + | 7.52667i | −0.399474 | + | 0.399474i | ||||
\(356\) | −11.3660 | −0.602398 | ||||||||
\(357\) | −17.4443 | − | 7.25913i | −0.923253 | − | 0.384194i | ||||
\(358\) | 22.3179 | 1.17954 | ||||||||
\(359\) | 12.0983 | − | 12.0983i | 0.638522 | − | 0.638522i | −0.311669 | − | 0.950191i | \(-0.600888\pi\) |
0.950191 | + | 0.311669i | \(0.100888\pi\) | |||||||
\(360\) | 1.90832 | − | 3.51385i | 0.100577 | − | 0.185196i | ||||
\(361\) | − | 14.5933i | − | 0.768071i | ||||||
\(362\) | 13.2590 | − | 5.49208i | 0.696880 | − | 0.288657i | ||||
\(363\) | 17.2672 | + | 0.905809i | 0.906295 | + | 0.0475426i | ||||
\(364\) | 12.3526 | + | 2.45639i | 0.647454 | + | 0.128750i | ||||
\(365\) | 6.46767 | + | 6.46767i | 0.338533 | + | 0.338533i | ||||
\(366\) | −19.5434 | − | 9.32291i | −1.02155 | − | 0.487316i | ||||
\(367\) | −11.3419 | + | 27.3817i | −0.592041 | + | 1.42931i | 0.289488 | + | 0.957182i | \(0.406515\pi\) |
−0.881528 | + | 0.472131i | \(0.843485\pi\) | |||||||
\(368\) | −4.55721 | − | 1.88766i | −0.237561 | − | 0.0984009i | ||||
\(369\) | −12.3286 | + | 22.7009i | −0.641799 | + | 1.18176i | ||||
\(370\) | 6.50312 | 0.338081 | ||||||||
\(371\) | −19.4737 | − | 29.1411i | −1.01103 | − | 1.51293i | ||||
\(372\) | −12.5249 | − | 5.97484i | −0.649386 | − | 0.309781i | ||||
\(373\) | 22.9206 | 1.18678 | 0.593392 | − | 0.804914i | \(-0.297788\pi\) | ||||
0.593392 | + | 0.804914i | \(0.297788\pi\) | |||||||
\(374\) | −2.13186 | + | 3.57001i | −0.110236 | + | 0.184601i | ||||
\(375\) | −6.33630 | − | 17.8960i | −0.327205 | − | 0.924147i | ||||
\(376\) | −6.47041 | + | 6.47041i | −0.333686 | + | 0.333686i | ||||
\(377\) | −8.89223 | − | 21.4677i | −0.457973 | − | 1.10564i | ||||
\(378\) | −4.75957 | + | 12.8975i | −0.244806 | + | 0.663378i | ||||
\(379\) | 9.23469 | − | 3.82513i | 0.474354 | − | 0.196484i | −0.132681 | − | 0.991159i | \(-0.542359\pi\) |
0.607035 | + | 0.794675i | \(0.292359\pi\) | |||||||
\(380\) | 7.13721 | + | 2.95633i | 0.366131 | + | 0.151657i | ||||
\(381\) | 0.785804 | − | 14.9796i | 0.0402580 | − | 0.767429i | ||||
\(382\) | 6.40640 | − | 6.40640i | 0.327780 | − | 0.327780i | ||||
\(383\) | 22.7753 | − | 22.7753i | 1.16376 | − | 1.16376i | 0.180117 | − | 0.983645i | \(-0.442352\pi\) |
0.983645 | − | 0.180117i | \(-0.0576476\pi\) | |||||||
\(384\) | 1.72967 | + | 0.0907356i | 0.0882670 | + | 0.00463033i | ||||
\(385\) | −0.693623 | + | 3.48807i | −0.0353503 | + | 0.177768i | ||||
\(386\) | 1.63185 | + | 3.93964i | 0.0830592 | + | 0.200523i | ||||
\(387\) | 17.8986 | + | 22.1075i | 0.909837 | + | 1.12379i | ||||
\(388\) | −2.65756 | + | 1.10080i | −0.134917 | + | 0.0558846i | ||||
\(389\) | −19.1637 | + | 19.1637i | −0.971637 | + | 0.971637i | −0.999609 | − | 0.0279717i | \(-0.991095\pi\) |
0.0279717 | + | 0.999609i | \(0.491095\pi\) | |||||||
\(390\) | 3.66786 | + | 10.3594i | 0.185729 | + | 0.524568i | ||||
\(391\) | −19.7204 | + | 4.97394i | −0.997302 | + | 0.251543i | ||||
\(392\) | −2.67949 | − | 6.46687i | −0.135335 | − | 0.326626i | ||||
\(393\) | −5.43726 | + | 11.3980i | −0.274273 | + | 0.574951i | ||||
\(394\) | −4.49766 | − | 10.8583i | −0.226589 | − | 0.547033i | ||||
\(395\) | − | 3.54256i | − | 0.178246i | ||||||
\(396\) | 2.65868 | + | 1.44389i | 0.133604 | + | 0.0725584i | ||||
\(397\) | −17.5510 | − | 7.26988i | −0.880861 | − | 0.364865i | −0.104030 | − | 0.994574i | \(-0.533174\pi\) |
−0.776831 | + | 0.629710i | \(0.783174\pi\) | |||||||
\(398\) | 4.95235 | + | 2.05133i | 0.248239 | + | 0.102824i | ||||
\(399\) | −25.7433 | − | 6.53785i | −1.28878 | − | 0.327302i | ||||
\(400\) | 2.27934 | − | 2.27934i | 0.113967 | − | 0.113967i | ||||
\(401\) | −9.98347 | + | 24.1022i | −0.498551 | + | 1.20361i | 0.451714 | + | 0.892163i | \(0.350813\pi\) |
−0.950264 | + | 0.311445i | \(0.899187\pi\) | |||||||
\(402\) | 0.225937 | − | 4.30699i | 0.0112687 | − | 0.214813i | ||||
\(403\) | 35.2357 | − | 14.5951i | 1.75522 | − | 0.727035i | ||||
\(404\) | 11.4442i | 0.569370i | ||||||||
\(405\) | −11.7954 | + | 2.18369i | −0.586117 | + | 0.108508i | ||||
\(406\) | −7.17450 | + | 10.7387i | −0.356064 | + | 0.532951i | ||||
\(407\) | 4.92046i | 0.243898i | ||||||||
\(408\) | 5.94458 | − | 3.95753i | 0.294300 | − | 0.195927i | ||||
\(409\) | − | 3.93165i | − | 0.194408i | −0.995264 | − | 0.0972038i | \(-0.969010\pi\) | ||
0.995264 | − | 0.0972038i | \(-0.0309899\pi\) | |||||||
\(410\) | 8.11557 | − | 8.11557i | 0.400800 | − | 0.400800i | ||||
\(411\) | −3.92698 | − | 4.36179i | −0.193703 | − | 0.215151i | ||||
\(412\) | −14.2463 | −0.701865 | ||||||||
\(413\) | 1.07516 | + | 1.60891i | 0.0529054 | + | 0.0791692i | ||||
\(414\) | 4.20145 | + | 14.1891i | 0.206490 | + | 0.697356i | ||||
\(415\) | 12.9345 | + | 5.35765i | 0.634930 | + | 0.262997i | ||||
\(416\) | −3.36602 | + | 3.36602i | −0.165033 | + | 0.165033i | ||||
\(417\) | 3.83264 | − | 8.03426i | 0.187685 | − | 0.393439i | ||||
\(418\) | −2.23685 | + | 5.40024i | −0.109408 | + | 0.264134i | ||||
\(419\) | −2.44408 | + | 5.90053i | −0.119401 | + | 0.288260i | −0.972268 | − | 0.233868i | \(-0.924862\pi\) |
0.852867 | + | 0.522128i | \(0.174862\pi\) | |||||||
\(420\) | 3.65452 | − | 4.89404i | 0.178323 | − | 0.238805i | ||||
\(421\) | 34.7377i | 1.69301i | 0.532378 | + | 0.846507i | \(0.321298\pi\) | ||||
−0.532378 | + | 0.846507i | \(0.678702\pi\) | |||||||
\(422\) | 5.70163 | − | 2.36169i | 0.277551 | − | 0.114965i | ||||
\(423\) | 27.3010 | + | 2.87222i | 1.32742 | + | 0.139652i | ||||
\(424\) | 13.2473 | 0.643344 | ||||||||
\(425\) | 1.92868 | − | 13.1500i | 0.0935546 | − | 0.637869i | ||||
\(426\) | 4.61663 | + | 13.0391i | 0.223677 | + | 0.631744i | ||||
\(427\) | −27.5025 | − | 18.3744i | −1.33094 | − | 0.889200i | ||||
\(428\) | 16.6573 | − | 6.89968i | 0.805160 | − | 0.333508i | ||||
\(429\) | −7.83823 | + | 2.77522i | −0.378433 | + | 0.133989i | ||||
\(430\) | −4.83622 | − | 11.6757i | −0.233223 | − | 0.563051i | ||||
\(431\) | −6.25744 | − | 2.59192i | −0.301410 | − | 0.124848i | 0.226853 | − | 0.973929i | \(-0.427156\pi\) |
−0.528263 | + | 0.849081i | \(0.677156\pi\) | |||||||
\(432\) | −3.05359 | − | 4.20424i | −0.146916 | − | 0.202276i | ||||
\(433\) | −17.9285 | − | 17.9285i | −0.861586 | − | 0.861586i | 0.129936 | − | 0.991522i | \(-0.458523\pi\) |
−0.991522 | + | 0.129936i | \(0.958523\pi\) | |||||||
\(434\) | −17.6257 | − | 11.7757i | −0.846062 | − | 0.565254i | ||||
\(435\) | −11.2535 | − | 0.590341i | −0.539566 | − | 0.0283047i | ||||
\(436\) | 4.77892 | − | 11.5373i | 0.228869 | − | 0.552538i | ||||
\(437\) | −26.4135 | + | 10.9408i | −1.26353 | + | 0.523370i | ||||
\(438\) | 11.2045 | − | 3.96707i | 0.535370 | − | 0.189554i | ||||
\(439\) | −1.09774 | + | 0.454700i | −0.0523925 | + | 0.0217017i | −0.408726 | − | 0.912657i | \(-0.634027\pi\) |
0.356333 | + | 0.934359i | \(0.384027\pi\) | |||||||
\(440\) | −0.950479 | − | 0.950479i | −0.0453123 | − | 0.0453123i | ||||
\(441\) | −10.0202 | + | 18.4552i | −0.477152 | + | 0.878821i | ||||
\(442\) | −2.84819 | + | 19.4194i | −0.135474 | + | 0.923685i | ||||
\(443\) | 13.1081i | 0.622785i | 0.950281 | + | 0.311393i | \(0.100795\pi\) | ||||
−0.950281 | + | 0.311393i | \(0.899205\pi\) | |||||||
\(444\) | 3.63853 | − | 7.62735i | 0.172677 | − | 0.361978i | ||||
\(445\) | −5.79742 | − | 13.9962i | −0.274824 | − | 0.663484i | ||||
\(446\) | 12.9552i | 0.613448i | ||||||||
\(447\) | −21.5493 | + | 19.4011i | −1.01925 | + | 0.917641i | ||||
\(448\) | 2.59494 | + | 0.516019i | 0.122599 | + | 0.0243796i | ||||
\(449\) | 10.9594 | − | 26.4584i | 0.517207 | − | 1.24865i | −0.422404 | − | 0.906407i | \(-0.638814\pi\) |
0.939612 | − | 0.342242i | \(-0.111186\pi\) | |||||||
\(450\) | −9.61732 | − | 1.01180i | −0.453365 | − | 0.0476967i | ||||
\(451\) | 6.14049 | + | 6.14049i | 0.289145 | + | 0.289145i | ||||
\(452\) | −6.45188 | + | 15.5762i | −0.303471 | + | 0.732644i | ||||
\(453\) | 25.5486 | + | 1.34024i | 1.20038 | + | 0.0629698i | ||||
\(454\) | 0.610817 | + | 1.47464i | 0.0286671 | + | 0.0692084i | ||||
\(455\) | 3.27584 | + | 16.4641i | 0.153574 | + | 0.771847i | ||||
\(456\) | 7.46071 | − | 6.71698i | 0.349380 | − | 0.314551i | ||||
\(457\) | −22.8768 | − | 22.8768i | −1.07013 | − | 1.07013i | −0.997348 | − | 0.0727847i | \(-0.976811\pi\) |
−0.0727847 | − | 0.997348i | \(-0.523189\pi\) | |||||||
\(458\) | −4.01729 | −0.187716 | ||||||||
\(459\) | −20.4492 | − | 6.38981i | −0.954488 | − | 0.298251i | ||||
\(460\) | − | 6.57461i | − | 0.306543i | ||||||
\(461\) | 23.3546 | + | 23.3546i | 1.08773 | + | 1.08773i | 0.995762 | + | 0.0919679i | \(0.0293157\pi\) |
0.0919679 | + | 0.995762i | \(0.470684\pi\) | |||||||
\(462\) | 3.70298 | + | 2.76513i | 0.172278 | + | 0.128645i | ||||
\(463\) | − | 10.8396i | − | 0.503757i | −0.967759 | − | 0.251878i | \(-0.918952\pi\) | ||
0.967759 | − | 0.251878i | \(-0.0810483\pi\) | |||||||
\(464\) | −1.86801 | − | 4.50977i | −0.0867200 | − | 0.209361i | ||||
\(465\) | 0.968947 | − | 18.4708i | 0.0449338 | − | 0.856564i | ||||
\(466\) | −20.0912 | − | 8.32203i | −0.930705 | − | 0.385511i | ||||
\(467\) | 13.0695 | − | 13.0695i | 0.604784 | − | 0.604784i | −0.336794 | − | 0.941578i | \(-0.609343\pi\) |
0.941578 | + | 0.336794i | \(0.109343\pi\) | |||||||
\(468\) | 14.2024 | + | 1.49418i | 0.656508 | + | 0.0690686i | ||||
\(469\) | 1.28492 | − | 6.46156i | 0.0593321 | − | 0.298367i | ||||
\(470\) | −11.2681 | − | 4.66738i | −0.519757 | − | 0.215290i | ||||
\(471\) | −25.7546 | + | 23.1872i | −1.18671 | + | 1.06841i | ||||
\(472\) | −0.731394 | −0.0336652 | ||||||||
\(473\) | 8.83418 | − | 3.65924i | 0.406196 | − | 0.168252i | ||||
\(474\) | −4.15498 | − | 1.98208i | −0.190845 | − | 0.0910400i | ||||
\(475\) | − | 18.6831i | − | 0.857241i | ||||||
\(476\) | 9.85347 | − | 4.68071i | 0.451633 | − | 0.214540i | ||||
\(477\) | −25.0072 | − | 30.8877i | −1.14500 | − | 1.41425i | ||||
\(478\) | 7.03405 | + | 7.03405i | 0.321730 | + | 0.321730i | ||||
\(479\) | 5.49162 | + | 13.2579i | 0.250919 | + | 0.605771i | 0.998279 | − | 0.0586481i | \(-0.0186790\pi\) |
−0.747360 | + | 0.664419i | \(0.768679\pi\) | |||||||
\(480\) | 0.770515 | + | 2.17621i | 0.0351690 | + | 0.0993301i | ||||
\(481\) | 8.88806 | + | 21.4577i | 0.405260 | + | 0.978385i | ||||
\(482\) | 4.25087 | − | 10.2625i | 0.193622 | − | 0.467445i | ||||
\(483\) | 3.24366 | + | 22.3705i | 0.147591 | + | 1.01789i | ||||
\(484\) | −7.05901 | + | 7.05901i | −0.320864 | + | 0.320864i | ||||
\(485\) | −2.71106 | − | 2.71106i | −0.123103 | − | 0.123103i | ||||
\(486\) | −4.03838 | + | 15.0563i | −0.183185 | + | 0.682967i | ||||
\(487\) | −1.57270 | + | 3.79684i | −0.0712660 | + | 0.172051i | −0.955499 | − | 0.294995i | \(-0.904682\pi\) |
0.884233 | + | 0.467047i | \(0.154682\pi\) | |||||||
\(488\) | 11.5498 | − | 4.78410i | 0.522837 | − | 0.216566i | ||||
\(489\) | 12.4270 | − | 4.39994i | 0.561970 | − | 0.198972i | ||||
\(490\) | 6.59664 | − | 6.59807i | 0.298006 | − | 0.298070i | ||||
\(491\) | −1.01753 | + | 1.01753i | −0.0459205 | + | 0.0459205i | −0.729694 | − | 0.683774i | \(-0.760338\pi\) |
0.683774 | + | 0.729694i | \(0.260338\pi\) | |||||||
\(492\) | −4.97785 | − | 14.0593i | −0.224419 | − | 0.633840i | ||||
\(493\) | −17.2798 | − | 10.3188i | −0.778241 | − | 0.464734i | ||||
\(494\) | 27.5904i | 1.24135i | ||||||||
\(495\) | −0.421919 | + | 4.01041i | −0.0189638 | + | 0.180254i | ||||
\(496\) | 7.40204 | − | 3.06602i | 0.332361 | − | 0.137669i | ||||
\(497\) | 4.12320 | + | 20.7229i | 0.184951 | + | 0.929547i | ||||
\(498\) | 13.5208 | − | 12.1729i | 0.605881 | − | 0.545482i | ||||
\(499\) | 8.51762 | − | 20.5633i | 0.381301 | − | 0.920542i | −0.610414 | − | 0.792083i | \(-0.708997\pi\) |
0.991715 | − | 0.128459i | \(-0.0410032\pi\) | |||||||
\(500\) | 10.1264 | + | 4.19451i | 0.452868 | + | 0.187584i | ||||
\(501\) | −15.1992 | − | 7.25056i | −0.679048 | − | 0.323931i | ||||
\(502\) | −2.71038 | − | 2.71038i | −0.120970 | − | 0.120970i | ||||
\(503\) | 5.14895 | + | 2.13277i | 0.229580 | + | 0.0950953i | 0.494508 | − | 0.869173i | \(-0.335348\pi\) |
−0.264928 | + | 0.964268i | \(0.585348\pi\) | |||||||
\(504\) | −3.69538 | − | 7.02454i | −0.164605 | − | 0.312898i | ||||
\(505\) | −14.0925 | + | 5.83729i | −0.627107 | + | 0.259756i | ||||
\(506\) | 4.97455 | 0.221146 | ||||||||
\(507\) | −12.4349 | + | 11.1953i | −0.552252 | + | 0.497199i | ||||
\(508\) | 6.12381 | + | 6.12381i | 0.271700 | + | 0.271700i | ||||
\(509\) | −14.4318 | −0.639680 | −0.319840 | − | 0.947472i | \(-0.603629\pi\) | ||||
−0.319840 | + | 0.947472i | \(0.603629\pi\) | |||||||
\(510\) | 7.90546 | + | 5.30160i | 0.350059 | + | 0.234759i | ||||
\(511\) | 17.8072 | − | 3.54307i | 0.787742 | − | 0.156736i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −29.7453 | − | 4.71579i | −1.31329 | − | 0.208207i | ||||
\(514\) | 18.9356 | 0.835213 | ||||||||
\(515\) | −7.26655 | − | 17.5430i | −0.320203 | − | 0.773038i | ||||
\(516\) | −16.4000 | − | 0.860315i | −0.721970 | − | 0.0378733i | ||||
\(517\) | 3.53148 | − | 8.52576i | 0.155315 | − | 0.374962i | ||||
\(518\) | 7.17113 | − | 10.7336i | 0.315081 | − | 0.471608i | ||||
\(519\) | −0.210304 | − | 0.100323i | −0.00923133 | − | 0.00440369i | ||||
\(520\) | −5.86184 | − | 2.42805i | −0.257059 | − | 0.106477i | ||||
\(521\) | −0.900132 | + | 2.17311i | −0.0394355 | + | 0.0952057i | −0.942370 | − | 0.334572i | \(-0.891408\pi\) |
0.902935 | + | 0.429778i | \(0.141408\pi\) | |||||||
\(522\) | −6.98881 | + | 12.8687i | −0.305892 | + | 0.563248i | ||||
\(523\) | 16.8864 | 0.738392 | 0.369196 | − | 0.929352i | \(-0.379633\pi\) | ||||
0.369196 | + | 0.929352i | \(0.379633\pi\) | |||||||
\(524\) | −2.79016 | − | 6.73603i | −0.121889 | − | 0.294265i | ||||
\(525\) | −14.3173 | − | 3.63606i | −0.624857 | − | 0.158691i | ||||
\(526\) | 10.8370 | 0.472517 | ||||||||
\(527\) | 16.9365 | − | 28.3618i | 0.737767 | − | 1.23546i | ||||
\(528\) | −1.64659 | + | 0.582995i | −0.0716587 | + | 0.0253716i | ||||
\(529\) | 0.941420 | + | 0.941420i | 0.0409313 | + | 0.0409313i | ||||
\(530\) | 6.75698 | + | 16.3128i | 0.293504 | + | 0.708582i | ||||
\(531\) | 1.38067 | + | 1.70534i | 0.0599161 | + | 0.0740054i | ||||
\(532\) | 12.7499 | − | 8.52020i | 0.552778 | − | 0.369398i | ||||
\(533\) | 37.8700 | + | 15.6863i | 1.64033 | + | 0.679447i | ||||
\(534\) | −19.6595 | − | 1.03130i | −0.850749 | − | 0.0446288i | ||||
\(535\) | 16.9926 | + | 16.9926i | 0.734656 | + | 0.734656i | ||||
\(536\) | 1.76074 | + | 1.76074i | 0.0760523 | + | 0.0760523i | ||||
\(537\) | 38.6027 | + | 2.02503i | 1.66583 | + | 0.0873865i | ||||
\(538\) | 5.85171 | + | 2.42386i | 0.252285 | + | 0.104500i | ||||
\(539\) | 4.99230 | + | 4.99122i | 0.215034 | + | 0.214987i | ||||
\(540\) | 3.61960 | − | 5.90465i | 0.155763 | − | 0.254096i | ||||
\(541\) | 13.0001 | + | 31.3849i | 0.558916 | + | 1.34934i | 0.910625 | + | 0.413233i | \(0.135601\pi\) |
−0.351709 | + | 0.936109i | \(0.614399\pi\) | |||||||
\(542\) | −5.02320 | − | 5.02320i | −0.215765 | − | 0.215765i | ||||
\(543\) | 23.4321 | − | 8.29643i | 1.00557 | − | 0.356034i | ||||
\(544\) | −0.598324 | + | 4.07946i | −0.0256529 | + | 0.174905i | ||||
\(545\) | 16.6447 | 0.712981 | ||||||||
\(546\) | 21.1431 | + | 5.36958i | 0.904843 | + | 0.229797i | ||||
\(547\) | 6.56949 | + | 15.8602i | 0.280891 | + | 0.678131i | 0.999857 | − | 0.0169143i | \(-0.00538425\pi\) |
−0.718966 | + | 0.695045i | \(0.755384\pi\) | |||||||
\(548\) | 3.38853 | 0.144751 | ||||||||
\(549\) | −32.9577 | − | 17.8989i | −1.40660 | − | 0.763905i | ||||
\(550\) | −1.24404 | + | 3.00337i | −0.0530460 | + | 0.128064i | ||||
\(551\) | −26.1385 | − | 10.8269i | −1.11354 | − | 0.461242i | ||||
\(552\) | −7.71120 | − | 3.67853i | −0.328210 | − | 0.156569i | ||||
\(553\) | −5.84712 | − | 3.90646i | −0.248645 | − | 0.166120i | ||||
\(554\) | 3.48379 | − | 8.41062i | 0.148012 | − | 0.357333i | ||||
\(555\) | 11.2483 | + | 0.590064i | 0.477462 | + | 0.0250468i | ||||
\(556\) | 1.96674 | + | 4.74813i | 0.0834084 | + | 0.201366i | ||||
\(557\) | −4.36959 | −0.185145 | −0.0925727 | − | 0.995706i | \(-0.529509\pi\) | ||||
−0.0925727 | + | 0.995706i | \(0.529509\pi\) | |||||||
\(558\) | −21.1218 | − | 11.4710i | −0.894159 | − | 0.485605i | ||||
\(559\) | 31.9152 | − | 31.9152i | 1.34987 | − | 1.34987i | ||||
\(560\) | 0.688161 | + | 3.45864i | 0.0290801 | + | 0.146154i | ||||
\(561\) | −4.01135 | + | 5.98151i | −0.169360 | + | 0.252540i | ||||
\(562\) | −3.39195 | −0.143081 | ||||||||
\(563\) | 26.6806 | + | 26.6806i | 1.12445 | + | 1.12445i | 0.991064 | + | 0.133388i | \(0.0425855\pi\) |
0.133388 | + | 0.991064i | \(0.457414\pi\) | |||||||
\(564\) | −11.7788 | + | 10.6046i | −0.495977 | + | 0.446534i | ||||
\(565\) | −22.4716 | −0.945386 | ||||||||
\(566\) | −3.96953 | + | 1.64423i | −0.166852 | + | 0.0691122i | ||||
\(567\) | −9.40276 | + | 21.8767i | −0.394879 | + | 0.918733i | ||||
\(568\) | −7.37814 | − | 3.05612i | −0.309580 | − | 0.128232i | ||||
\(569\) | 8.09704 | + | 8.09704i | 0.339445 | + | 0.339445i | 0.856159 | − | 0.516713i | \(-0.172845\pi\) |
−0.516713 | + | 0.856159i | \(0.672845\pi\) | |||||||
\(570\) | 12.0768 | + | 5.76108i | 0.505841 | + | 0.241305i | ||||
\(571\) | −14.4189 | − | 5.97249i | −0.603411 | − | 0.249941i | 0.0599975 | − | 0.998199i | \(-0.480891\pi\) |
−0.663408 | + | 0.748258i | \(0.730891\pi\) | |||||||
\(572\) | 1.83714 | − | 4.43525i | 0.0768147 | − | 0.185447i | ||||
\(573\) | 11.6623 | − | 10.4997i | 0.487198 | − | 0.438631i | ||||
\(574\) | −4.44581 | − | 22.3442i | −0.185565 | − | 0.932631i | ||||
\(575\) | −14.6900 | + | 6.08480i | −0.612615 | + | 0.253754i | ||||
\(576\) | 2.98353 | + | 0.313886i | 0.124314 | + | 0.0130786i | ||||
\(577\) | 19.4303i | 0.808893i | 0.914562 | + | 0.404447i | \(0.132536\pi\) | ||||
−0.914562 | + | 0.404447i | \(0.867464\pi\) | |||||||
\(578\) | 8.06267 | + | 14.9664i | 0.335363 | + | 0.622520i | ||||
\(579\) | 2.46511 | + | 6.96236i | 0.102446 | + | 0.289346i | ||||
\(580\) | 4.60056 | − | 4.60056i | 0.191028 | − | 0.191028i | ||||
\(581\) | 23.1061 | − | 15.4409i | 0.958605 | − | 0.640594i | ||||
\(582\) | −4.69660 | + | 1.66289i | −0.194680 | + | 0.0689288i | ||||
\(583\) | −12.3428 | + | 5.11254i | −0.511185 | + | 0.211740i | ||||
\(584\) | −2.62613 | + | 6.34003i | −0.108670 | + | 0.262352i | ||||
\(585\) | 5.40424 | + | 18.2511i | 0.223438 | + | 0.754592i | ||||
\(586\) | 5.23121 | + | 5.23121i | 0.216099 | + | 0.216099i | ||||
\(587\) | 18.6794 | − | 18.6794i | 0.770983 | − | 0.770983i | −0.207296 | − | 0.978278i | \(-0.566466\pi\) |
0.978278 | + | 0.207296i | \(0.0664662\pi\) | |||||||
\(588\) | −4.04786 | − | 11.4287i | −0.166931 | − | 0.471311i | ||||
\(589\) | 17.7706 | − | 42.9020i | 0.732225 | − | 1.76775i | ||||
\(590\) | −0.373059 | − | 0.900645i | −0.0153586 | − | 0.0370790i | ||||
\(591\) | −6.79424 | − | 19.1894i | −0.279478 | − | 0.789347i | ||||
\(592\) | 1.86713 | + | 4.50765i | 0.0767386 | + | 0.185263i | ||||
\(593\) | 1.45576 | + | 1.45576i | 0.0597807 | + | 0.0597807i | 0.736365 | − | 0.676584i | \(-0.236541\pi\) |
−0.676584 | + | 0.736365i | \(0.736541\pi\) | |||||||
\(594\) | 4.46764 | + | 2.73870i | 0.183310 | + | 0.112370i | ||||
\(595\) | 10.7898 | + | 9.74618i | 0.442338 | + | 0.399554i | ||||
\(596\) | − | 16.7409i | − | 0.685735i | ||||||
\(597\) | 8.37982 | + | 3.99748i | 0.342963 | + | 0.163606i | ||||
\(598\) | 21.6936 | − | 8.98576i | 0.887115 | − | 0.367455i | ||||
\(599\) | −4.25202 | −0.173733 | −0.0868664 | − | 0.996220i | \(-0.527685\pi\) | ||||
−0.0868664 | + | 0.996220i | \(0.527685\pi\) | |||||||
\(600\) | 4.14932 | − | 3.73569i | 0.169395 | − | 0.152509i | ||||
\(601\) | −6.29865 | − | 2.60899i | −0.256927 | − | 0.106423i | 0.250502 | − | 0.968116i | \(-0.419404\pi\) |
−0.507430 | + | 0.861693i | \(0.669404\pi\) | |||||||
\(602\) | −24.6041 | − | 4.89267i | −1.00279 | − | 0.199410i | ||||
\(603\) | 0.781594 | − | 7.42918i | 0.0318290 | − | 0.302540i | ||||
\(604\) | −10.4445 | + | 10.4445i | −0.424982 | + | 0.424982i | ||||
\(605\) | −12.2931 | − | 5.09196i | −0.499785 | − | 0.207018i | ||||
\(606\) | −1.03839 | + | 19.7947i | −0.0421819 | + | 0.804105i | ||||
\(607\) | 1.35013 | + | 3.25951i | 0.0548003 | + | 0.132300i | 0.948908 | − | 0.315551i | \(-0.102189\pi\) |
−0.894108 | + | 0.447851i | \(0.852189\pi\) | |||||||
\(608\) | 5.79598i | 0.235058i | ||||||||
\(609\) | −13.3839 | + | 17.9234i | −0.542343 | + | 0.726292i | ||||
\(610\) | 11.7824 | + | 11.7824i | 0.477054 | + | 0.477054i | ||||
\(611\) | − | 43.5591i | − | 1.76221i | ||||||
\(612\) | 10.6413 | − | 6.30584i | 0.430147 | − | 0.254898i | ||||
\(613\) | 14.5712 | 0.588527 | 0.294263 | − | 0.955724i | \(-0.404926\pi\) | ||||
0.294263 | + | 0.955724i | \(0.404926\pi\) | |||||||
\(614\) | −0.231220 | − | 0.231220i | −0.00933126 | − | 0.00933126i | ||||
\(615\) | 14.7737 | − | 13.3009i | 0.595731 | − | 0.536344i | ||||
\(616\) | −2.61691 | + | 0.520684i | −0.105438 | + | 0.0209790i | ||||
\(617\) | −8.98487 | − | 21.6914i | −0.361717 | − | 0.873263i | −0.995049 | − | 0.0993825i | \(-0.968313\pi\) |
0.633332 | − | 0.773880i | \(-0.281687\pi\) | |||||||
\(618\) | −24.6414 | − | 1.29265i | −0.991224 | − | 0.0519979i | ||||
\(619\) | −11.9980 | + | 28.9657i | −0.482240 | + | 1.16423i | 0.476303 | + | 0.879281i | \(0.341976\pi\) |
−0.958543 | + | 0.284948i | \(0.908024\pi\) | |||||||
\(620\) | 7.55105 | + | 7.55105i | 0.303258 | + | 0.303258i | ||||
\(621\) | 5.97967 | + | 24.9237i | 0.239956 | + | 1.00015i | ||||
\(622\) | −6.53137 | + | 15.7681i | −0.261884 | + | 0.632244i | ||||
\(623\) | −29.4941 | − | 5.86508i | −1.18166 | − | 0.234980i | ||||
\(624\) | −6.12754 | + | 5.51670i | −0.245298 | + | 0.220845i | ||||
\(625\) | − | 1.50807i | − | 0.0603229i | ||||||
\(626\) | −2.51545 | − | 6.07284i | −0.100538 | − | 0.242719i | ||||
\(627\) | −4.35901 | + | 9.13768i | −0.174082 | + | 0.364924i | ||||
\(628\) | − | 20.0079i | − | 0.798401i | ||||||
\(629\) | 17.2716 | + | 10.3139i | 0.688666 | + | 0.411243i | ||||
\(630\) | 6.76519 | − | 8.13350i | 0.269532 | − | 0.324046i | ||||
\(631\) | 20.2077 | + | 20.2077i | 0.804456 | + | 0.804456i | 0.983788 | − | 0.179333i | \(-0.0573938\pi\) |
−0.179333 | + | 0.983788i | \(0.557394\pi\) | |||||||
\(632\) | 2.45554 | − | 1.01712i | 0.0976759 | − | 0.0404587i | ||||
\(633\) | 10.0762 | − | 3.56761i | 0.400494 | − | 0.141800i | ||||
\(634\) | 2.38547 | − | 0.988096i | 0.0947393 | − | 0.0392423i | ||||
\(635\) | −4.41736 | + | 10.6645i | −0.175298 | + | 0.423206i | ||||
\(636\) | 22.9134 | + | 1.20200i | 0.908576 | + | 0.0476623i | ||||
\(637\) | 30.7868 | + | 12.7484i | 1.21982 | + | 0.505110i | ||||
\(638\) | 3.48092 | + | 3.48092i | 0.137811 | + | 0.137811i | ||||
\(639\) | 6.80216 | + | 22.9722i | 0.269089 | + | 0.908766i | ||||
\(640\) | −1.23141 | − | 0.510066i | −0.0486757 | − | 0.0201621i | ||||
\(641\) | 14.0792 | + | 33.9902i | 0.556095 | + | 1.34253i | 0.912835 | + | 0.408328i | \(0.133888\pi\) |
−0.356741 | + | 0.934203i | \(0.616112\pi\) | |||||||
\(642\) | 29.4377 | − | 10.4228i | 1.16181 | − | 0.411354i | ||||
\(643\) | 38.8548 | − | 16.0942i | 1.53228 | − | 0.634693i | 0.552279 | − | 0.833660i | \(-0.313758\pi\) |
0.980006 | + | 0.198966i | \(0.0637585\pi\) | |||||||
\(644\) | −10.8516 | − | 7.24996i | −0.427614 | − | 0.285689i | ||||
\(645\) | −7.30569 | − | 20.6339i | −0.287661 | − | 0.812460i | ||||
\(646\) | 14.2670 | + | 19.1713i | 0.561328 | + | 0.754285i | ||||
\(647\) | 5.39664 | 0.212164 | 0.106082 | − | 0.994357i | \(-0.466169\pi\) | ||||
0.106082 | + | 0.994357i | \(0.466169\pi\) | |||||||
\(648\) | −4.90023 | − | 7.54902i | −0.192499 | − | 0.296554i | ||||
\(649\) | 0.681456 | − | 0.282268i | 0.0267495 | − | 0.0110800i | ||||
\(650\) | 15.3446i | 0.601864i | ||||||||
\(651\) | −29.4183 | − | 21.9675i | −1.15299 | − | 0.860973i | ||||
\(652\) | −2.91268 | + | 7.03182i | −0.114069 | + | 0.275387i | ||||
\(653\) | −6.82196 | + | 16.4697i | −0.266964 | + | 0.644508i | −0.999337 | − | 0.0363952i | \(-0.988412\pi\) |
0.732374 | + | 0.680903i | \(0.238412\pi\) | |||||||
\(654\) | 9.31280 | − | 19.5222i | 0.364159 | − | 0.763377i | ||||
\(655\) | 6.87164 | − | 6.87164i | 0.268497 | − | 0.268497i | ||||
\(656\) | 7.95541 | + | 3.29524i | 0.310607 | + | 0.128658i | ||||
\(657\) | 19.7400 | − | 5.84510i | 0.770131 | − | 0.228039i | ||||
\(658\) | −20.1292 | + | 13.4515i | −0.784718 | + | 0.524394i | ||||
\(659\) | −16.0624 | −0.625702 | −0.312851 | − | 0.949802i | \(-0.601284\pi\) | ||||
−0.312851 | + | 0.949802i | \(0.601284\pi\) | |||||||
\(660\) | −1.55777 | − | 1.73026i | −0.0606363 | − | 0.0673503i | ||||
\(661\) | 1.76602 | − | 1.76602i | 0.0686902 | − | 0.0686902i | −0.671927 | − | 0.740617i | \(-0.734533\pi\) |
0.740617 | + | 0.671927i | \(0.234533\pi\) | |||||||
\(662\) | 2.64132i | 0.102658i | ||||||||
\(663\) | −6.68846 | + | 33.3307i | −0.259758 | + | 1.29446i | ||||
\(664\) | 10.5038i | 0.407628i | ||||||||
\(665\) | 16.9951 | + | 11.3544i | 0.659043 | + | 0.440306i | ||||
\(666\) | 6.98553 | − | 12.8627i | 0.270684 | − | 0.498418i | ||||
\(667\) | 24.0781i | 0.932308i | ||||||||
\(668\) | 8.98248 | − | 3.72067i | 0.347543 | − | 0.143957i | ||||
\(669\) | −1.17550 | + | 22.4083i | −0.0454475 | + | 0.866356i | ||||
\(670\) | −1.27009 | + | 3.06628i | −0.0490680 | + | 0.118461i | ||||
\(671\) | −8.91490 | + | 8.91490i | −0.344156 | + | 0.344156i | ||||
\(672\) | 4.44158 | + | 1.12800i | 0.171338 | + | 0.0435135i | ||||
\(673\) | 16.5668 | + | 6.86219i | 0.638603 | + | 0.264518i | 0.678403 | − | 0.734690i | \(-0.262672\pi\) |
−0.0398005 | + | 0.999208i | \(0.512672\pi\) | |||||||
\(674\) | 5.68685 | + | 2.35557i | 0.219049 | + | 0.0907332i | ||||
\(675\) | −16.5430 | − | 2.62272i | −0.636741 | − | 0.100948i | ||||
\(676\) | − | 9.66022i | − | 0.371547i | ||||||
\(677\) | 5.48037 | + | 13.2308i | 0.210628 | + | 0.508501i | 0.993520 | − | 0.113657i | \(-0.0362564\pi\) |
−0.782892 | + | 0.622157i | \(0.786256\pi\) | |||||||
\(678\) | −12.5730 | + | 26.3564i | −0.482862 | + | 1.01221i | ||||
\(679\) | −7.46425 | + | 1.48515i | −0.286452 | + | 0.0569950i | ||||
\(680\) | −5.32867 | + | 1.34401i | −0.204345 | + | 0.0515406i | ||||
\(681\) | 0.922711 | + | 2.60607i | 0.0353584 | + | 0.0998649i | ||||
\(682\) | −5.71336 | + | 5.71336i | −0.218776 | + | 0.218776i | ||||
\(683\) | −15.5796 | + | 6.45330i | −0.596138 | + | 0.246929i | −0.660289 | − | 0.751012i | \(-0.729566\pi\) |
0.0641506 | + | 0.997940i | \(0.479566\pi\) | |||||||
\(684\) | 13.5141 | − | 10.9412i | 0.516723 | − | 0.418348i | ||||
\(685\) | 1.72837 | + | 4.17266i | 0.0660377 | + | 0.159429i | ||||
\(686\) | −3.61609 | − | 18.1638i | −0.138063 | − | 0.693497i | ||||
\(687\) | −6.94860 | − | 0.364511i | −0.265106 | − | 0.0139070i | ||||
\(688\) | 6.70448 | − | 6.70448i | 0.255606 | − | 0.255606i | ||||
\(689\) | −44.5906 | + | 44.5906i | −1.69877 | + | 1.69877i | ||||
\(690\) | 0.596551 | − | 11.3719i | 0.0227103 | − | 0.432922i | ||||
\(691\) | −3.70085 | − | 1.53294i | −0.140787 | − | 0.0583159i | 0.311177 | − | 0.950352i | \(-0.399277\pi\) |
−0.451965 | + | 0.892036i | \(0.649277\pi\) | |||||||
\(692\) | 0.124287 | − | 0.0514813i | 0.00472468 | − | 0.00195702i | ||||
\(693\) | 6.15405 | + | 5.11875i | 0.233773 | + | 0.194445i | ||||
\(694\) | −10.4570 | − | 25.2454i | −0.396941 | − | 0.958301i | ||||
\(695\) | −4.84372 | + | 4.84372i | −0.183733 | + | 0.183733i | ||||
\(696\) | −2.82184 | − | 7.96992i | −0.106962 | − | 0.302099i | ||||
\(697\) | 34.4254 | − | 8.68290i | 1.30396 | − | 0.328888i | ||||
\(698\) | −5.37935 | −0.203611 | ||||||||
\(699\) | −33.9960 | − | 16.2174i | −1.28585 | − | 0.613397i | ||||
\(700\) | 7.09092 | − | 4.73856i | 0.268012 | − | 0.179101i | ||||
\(701\) | 35.7287 | 1.34946 | 0.674728 | − | 0.738067i | \(-0.264261\pi\) | ||||
0.674728 | + | 0.738067i | \(0.264261\pi\) | |||||||
\(702\) | 24.4300 | + | 3.87311i | 0.922051 | + | 0.146181i | ||||
\(703\) | 26.1262 | + | 10.8218i | 0.985370 | + | 0.408154i | ||||
\(704\) | 0.385932 | − | 0.931721i | 0.0145453 | − | 0.0351156i | ||||
\(705\) | −19.0665 | − | 9.09545i | −0.718088 | − | 0.342555i | ||||
\(706\) | −13.5141 | − | 13.5141i | −0.508609 | − | 0.508609i | ||||
\(707\) | −5.90542 | + | 29.6970i | −0.222096 | + | 1.11687i | ||||
\(708\) | −1.26507 | − | 0.0663635i | −0.0475443 | − | 0.00249409i | ||||
\(709\) | −29.9490 | + | 12.4053i | −1.12476 | + | 0.465890i | −0.865996 | − | 0.500052i | \(-0.833314\pi\) |
−0.258761 | + | 0.965941i | \(0.583314\pi\) | |||||||
\(710\) | − | 10.6443i | − | 0.399474i | ||||||
\(711\) | −7.00691 | − | 3.80536i | −0.262780 | − | 0.142712i | ||||
\(712\) | 8.03699 | − | 8.03699i | 0.301199 | − | 0.301199i | ||||
\(713\) | −39.5202 | −1.48004 | ||||||||
\(714\) | 17.4680 | − | 7.20204i | 0.653723 | − | 0.269529i | ||||
\(715\) | 6.39867 | 0.239297 | ||||||||
\(716\) | −15.7812 | + | 15.7812i | −0.589770 | + | 0.589770i | ||||
\(717\) | 11.5284 | + | 12.8048i | 0.430534 | + | 0.478205i | ||||
\(718\) | 17.1095i | 0.638522i | ||||||||
\(719\) | −28.8463 | + | 11.9485i | −1.07579 | + | 0.445605i | −0.849029 | − | 0.528347i | \(-0.822812\pi\) |
−0.226756 | + | 0.973952i | \(0.572812\pi\) | |||||||
\(720\) | 1.13528 | + | 3.83405i | 0.0423093 | + | 0.142887i | ||||
\(721\) | −36.9683 | − | 7.35137i | −1.37677 | − | 0.273779i | ||||
\(722\) | 10.3191 | + | 10.3191i | 0.384035 | + | 0.384035i | ||||
\(723\) | 8.28379 | − | 17.3651i | 0.308078 | − | 0.645814i | ||||
\(724\) | −5.49208 | + | 13.2590i | −0.204111 | + | 0.492769i | ||||
\(725\) | −14.5371 | − | 6.02146i | −0.539894 | − | 0.223631i | ||||
\(726\) | −12.8503 | + | 11.5693i | −0.476919 | + | 0.429376i | ||||
\(727\) | −25.7831 | −0.956243 | −0.478121 | − | 0.878294i | \(-0.658682\pi\) | ||||
−0.478121 | + | 0.878294i | \(0.658682\pi\) | |||||||
\(728\) | −10.4716 | + | 6.99770i | −0.388102 | + | 0.259352i | ||||
\(729\) | −8.35121 | + | 25.6760i | −0.309304 | + | 0.950963i | ||||
\(730\) | −9.14667 | −0.338533 | ||||||||
\(731\) | 5.67305 | − | 38.6797i | 0.209825 | − | 1.43062i | ||||
\(732\) | 20.4115 | − | 7.22695i | 0.754432 | − | 0.267116i | ||||
\(733\) | 35.1957 | − | 35.1957i | 1.29998 | − | 1.29998i | 0.371581 | − | 0.928400i | \(-0.378816\pi\) |
0.928400 | − | 0.371581i | \(-0.121184\pi\) | |||||||
\(734\) | −11.3419 | − | 27.3817i | −0.418636 | − | 1.01068i | ||||
\(735\) | 12.0087 | − | 10.8140i | 0.442948 | − | 0.398879i | ||||
\(736\) | 4.55721 | − | 1.88766i | 0.167981 | − | 0.0695799i | ||||
\(737\) | −2.32004 | − | 0.960993i | −0.0854599 | − | 0.0353986i | ||||
\(738\) | −7.33437 | − | 24.7696i | −0.269982 | − | 0.911781i | ||||
\(739\) | −11.9449 | + | 11.9449i | −0.439402 | + | 0.439402i | −0.891811 | − | 0.452409i | \(-0.850565\pi\) |
0.452409 | + | 0.891811i | \(0.350565\pi\) | |||||||
\(740\) | −4.59840 | + | 4.59840i | −0.169041 | + | 0.169041i | ||||
\(741\) | −2.50343 | + | 47.7224i | −0.0919660 | + | 1.75313i | ||||
\(742\) | 34.3759 | + | 6.83584i | 1.26198 | + | 0.250952i | ||||
\(743\) | 3.70695 | + | 8.94938i | 0.135995 | + | 0.328321i | 0.977176 | − | 0.212433i | \(-0.0681389\pi\) |
−0.841181 | + | 0.540754i | \(0.818139\pi\) | |||||||
\(744\) | 13.0813 | − | 4.63159i | 0.479584 | − | 0.169802i | ||||
\(745\) | 20.6149 | − | 8.53897i | 0.755272 | − | 0.312844i | ||||
\(746\) | −16.2073 | + | 16.2073i | −0.593392 | + | 0.593392i | ||||
\(747\) | 24.4910 | − | 19.8284i | 0.896080 | − | 0.725482i | ||||
\(748\) | −1.01692 | − | 4.03183i | −0.0371824 | − | 0.147418i | ||||
\(749\) | 46.7851 | − | 9.30877i | 1.70949 | − | 0.340135i | ||||
\(750\) | 17.1348 | + | 8.17396i | 0.625676 | + | 0.298471i | ||||
\(751\) | 12.4357 | + | 30.0224i | 0.453784 | + | 1.09553i | 0.970872 | + | 0.239600i | \(0.0770162\pi\) |
−0.517087 | + | 0.855933i | \(0.672984\pi\) | |||||||
\(752\) | − | 9.15054i | − | 0.333686i | ||||||
\(753\) | −4.44213 | − | 4.93399i | −0.161880 | − | 0.179805i | ||||
\(754\) | 21.4677 | + | 8.89223i | 0.781809 | + | 0.323836i | ||||
\(755\) | −18.1889 | − | 7.53408i | −0.661961 | − | 0.274193i | ||||
\(756\) | −5.75441 | − | 12.4855i | −0.209286 | − | 0.454092i | ||||
\(757\) | 21.2025 | − | 21.2025i | 0.770619 | − | 0.770619i | −0.207596 | − | 0.978215i | \(-0.566564\pi\) |
0.978215 | + | 0.207596i | \(0.0665639\pi\) | |||||||
\(758\) | −3.82513 | + | 9.23469i | −0.138935 | + | 0.335419i | ||||
\(759\) | 8.60435 | + | 0.451369i | 0.312318 | + | 0.0163837i | ||||
\(760\) | −7.13721 | + | 2.95633i | −0.258894 | + | 0.107237i | ||||
\(761\) | 30.9757i | 1.12287i | 0.827522 | + | 0.561434i | \(0.189750\pi\) | ||||
−0.827522 | + | 0.561434i | \(0.810250\pi\) | |||||||
\(762\) | 10.0365 | + | 11.1478i | 0.363585 | + | 0.403843i | ||||
\(763\) | 18.3545 | − | 27.4727i | 0.664477 | − | 0.994577i | ||||
\(764\) | 9.06002i | 0.327780i | ||||||||
\(765\) | 13.1928 | + | 9.88734i | 0.476987 | + | 0.357477i | ||||
\(766\) | 32.2091i | 1.16376i | ||||||||
\(767\) | 2.46189 | − | 2.46189i | 0.0888937 | − | 0.0888937i | ||||
\(768\) | −1.28722 | + | 1.15890i | −0.0464487 | + | 0.0418183i | ||||
\(769\) | 9.51746 | 0.343208 | 0.171604 | − | 0.985166i | \(-0.445105\pi\) | ||||
0.171604 | + | 0.985166i | \(0.445105\pi\) | |||||||
\(770\) | −1.97597 | − | 2.95690i | −0.0712091 | − | 0.106559i | ||||
\(771\) | 32.7524 | + | 1.71813i | 1.17955 | + | 0.0618770i | ||||
\(772\) | −3.93964 | − | 1.63185i | −0.141791 | − | 0.0587317i | ||||
\(773\) | −9.38088 | + | 9.38088i | −0.337407 | + | 0.337407i | −0.855391 | − | 0.517984i | \(-0.826683\pi\) |
0.517984 | + | 0.855391i | \(0.326683\pi\) | |||||||
\(774\) | −28.2886 | − | 2.97613i | −1.01681 | − | 0.106975i | ||||
\(775\) | 9.88323 | − | 23.8602i | 0.355016 | − | 0.857084i | ||||
\(776\) | 1.10080 | − | 2.65756i | 0.0395164 | − | 0.0954009i | ||||
\(777\) | 13.3776 | − | 17.9150i | 0.479920 | − | 0.642696i | ||||
\(778\) | − | 27.1015i | − | 0.971637i | ||||||
\(779\) | 46.1094 | − | 19.0991i | 1.65204 | − | 0.684298i | ||||
\(780\) | −9.91876 | − | 4.73162i | −0.355148 | − | 0.169419i | ||||
\(781\) | 8.05382 | 0.288188 | ||||||||
\(782\) | 10.4273 | − | 17.4615i | 0.372880 | − | 0.624423i | ||||
\(783\) | −13.2560 | + | 21.6245i | −0.473731 | + | 0.772797i | ||||
\(784\) | 6.46745 | + | 2.67808i | 0.230980 | + | 0.0956457i | ||||
\(785\) | 24.6379 | − | 10.2053i | 0.879363 | − | 0.364244i | ||||
\(786\) | −4.21486 | − | 11.9043i | −0.150339 | − | 0.424612i | ||||
\(787\) | −1.32204 | − | 3.19169i | −0.0471256 | − | 0.113771i | 0.898564 | − | 0.438843i | \(-0.144612\pi\) |
−0.945689 | + | 0.325072i | \(0.894612\pi\) | |||||||
\(788\) | 10.8583 | + | 4.49766i | 0.386811 | + | 0.160222i | ||||
\(789\) | 18.7445 | + | 0.983303i | 0.667322 | + | 0.0350065i | ||||
\(790\) | 2.50497 | + | 2.50497i | 0.0891228 | + | 0.0891228i | ||||
\(791\) | −24.7799 | + | 37.0901i | −0.881072 | + | 1.31877i | ||||
\(792\) | −2.90096 | + | 0.858986i | −0.103081 | + | 0.0305227i | ||||
\(793\) | −22.7736 | + | 54.9804i | −0.808716 | + | 1.95241i | ||||
\(794\) | 17.5510 | − | 7.26988i | 0.622863 | − | 0.257998i | ||||
\(795\) | 10.2072 | + | 28.8289i | 0.362012 | + | 1.02245i | ||||
\(796\) | −4.95235 | + | 2.05133i | −0.175531 | + | 0.0727075i | ||||
\(797\) | −31.8245 | − | 31.8245i | −1.12728 | − | 1.12728i | −0.990618 | − | 0.136663i | \(-0.956362\pi\) |
−0.136663 | − | 0.990618i | \(-0.543638\pi\) | |||||||
\(798\) | 22.8262 | − | 13.5803i | 0.808039 | − | 0.480737i | ||||
\(799\) | −22.5244 | − | 30.2672i | −0.796856 | − | 1.07078i | ||||
\(800\) | 3.22347i | 0.113967i | ||||||||
\(801\) | −33.9109 | − | 3.56763i | −1.19818 | − | 0.126056i | ||||
\(802\) | −9.98347 | − | 24.1022i | −0.352528 | − | 0.851079i | ||||
\(803\) | − | 6.92065i | − | 0.244224i | ||||||
\(804\) | 2.88574 | + | 3.20526i | 0.101772 | + | 0.113041i | ||||
\(805\) | 3.39263 | − | 17.0607i | 0.119574 | − | 0.601312i | ||||
\(806\) | −14.5951 | + | 35.2357i | −0.514091 | + | 1.24113i | ||||
\(807\) | 9.90161 | + | 4.72344i | 0.348553 | + | 0.166273i | ||||
\(808\) | −8.09226 | − | 8.09226i | −0.284685 | − | 0.284685i | ||||
\(809\) | 15.0511 | − | 36.3365i | 0.529168 | − | 1.27752i | −0.402902 | − | 0.915243i | \(-0.631998\pi\) |
0.932069 | − | 0.362280i | \(-0.118002\pi\) | |||||||
\(810\) | 6.79648 | − | 9.88468i | 0.238804 | − | 0.347312i | ||||
\(811\) | −0.771029 | − | 1.86143i | −0.0270745 | − | 0.0653636i | 0.909764 | − | 0.415126i | \(-0.136262\pi\) |
−0.936839 | + | 0.349762i | \(0.886262\pi\) | |||||||
\(812\) | −2.52024 | − | 12.6665i | −0.0884432 | − | 0.444508i | ||||
\(813\) | −8.23271 | − | 9.14427i | −0.288734 | − | 0.320704i | ||||
\(814\) | −3.47929 | − | 3.47929i | −0.121949 | − | 0.121949i | ||||
\(815\) | −10.1447 | −0.355353 | ||||||||
\(816\) | −1.40506 | + | 7.00184i | −0.0491868 | + | 0.245114i | ||||
\(817\) | − | 54.9549i | − | 1.92263i | ||||||
\(818\) | 2.78010 | + | 2.78010i | 0.0972038 | + | 0.0972038i | ||||
\(819\) | 36.0835 | + | 11.2061i | 1.26086 | + | 0.391571i | ||||
\(820\) | 11.4772i | 0.400800i | ||||||||
\(821\) | −12.1383 | − | 29.3045i | −0.423630 | − | 1.02273i | −0.981268 | − | 0.192649i | \(-0.938292\pi\) |
0.557638 | − | 0.830084i | \(-0.311708\pi\) | |||||||
\(822\) | 5.86104 | + | 0.307460i | 0.204427 | + | 0.0107239i | ||||
\(823\) | 2.74624 | + | 1.13753i | 0.0957279 | + | 0.0396518i | 0.430033 | − | 0.902813i | \(-0.358502\pi\) |
−0.334306 | + | 0.942465i | \(0.608502\pi\) | |||||||
\(824\) | 10.0737 | − | 10.0737i | 0.350933 | − | 0.350933i | ||||
\(825\) | −2.42429 | + | 5.08197i | −0.0844030 | + | 0.176932i | ||||
\(826\) | −1.89793 | − | 0.377414i | −0.0660373 | − | 0.0131319i | ||||
\(827\) | −14.5583 | − | 6.03025i | −0.506242 | − | 0.209692i | 0.114920 | − | 0.993375i | \(-0.463339\pi\) |
−0.621162 | + | 0.783682i | \(0.713339\pi\) | |||||||
\(828\) | −13.0041 | − | 7.06233i | −0.451923 | − | 0.245433i | ||||
\(829\) | −52.3731 | −1.81899 | −0.909496 | − | 0.415712i | \(-0.863533\pi\) | ||||
−0.909496 | + | 0.415712i | \(0.863533\pi\) | |||||||
\(830\) | −12.9345 | + | 5.35765i | −0.448963 | + | 0.185967i | ||||
\(831\) | 6.78896 | − | 14.2315i | 0.235506 | − | 0.493686i | ||||
\(832\) | − | 4.76028i | − | 0.165033i | ||||||
\(833\) | 27.9845 | − | 7.06159i | 0.969607 | − | 0.244670i | ||||
\(834\) | 2.97099 | + | 8.39117i | 0.102877 | + | 0.290562i | ||||
\(835\) | 9.16332 | + | 9.16332i | 0.317110 | + | 0.317110i | ||||
\(836\) | −2.23685 | − | 5.40024i | −0.0773631 | − | 0.186771i | ||||
\(837\) | −35.4931 | − | 21.7575i | −1.22682 | − | 0.752051i | ||||
\(838\) | −2.44408 | − | 5.90053i | −0.0844293 | − | 0.203830i | ||||
\(839\) | −11.1177 | + | 26.8404i | −0.383824 | + | 0.926634i | 0.607394 | + | 0.794400i | \(0.292215\pi\) |
−0.991219 | + | 0.132233i | \(0.957785\pi\) | |||||||
\(840\) | 0.876472 | + | 6.04475i | 0.0302412 | + | 0.208564i | ||||
\(841\) | 3.65754 | − | 3.65754i | 0.126122 | − | 0.126122i | ||||
\(842\) | −24.5633 | − | 24.5633i | −0.846507 | − | 0.846507i | ||||
\(843\) | −5.86696 | − | 0.307770i | −0.202069 | − | 0.0106002i | ||||
\(844\) | −2.36169 | + | 5.70163i | −0.0812927 | + | 0.196258i | ||||
\(845\) | 11.8957 | − | 4.92735i | 0.409224 | − | 0.169506i | ||||
\(846\) | −21.3357 | + | 17.2737i | −0.733535 | + | 0.593883i | ||||
\(847\) | −21.9603 | + | 14.6751i | −0.754565 | + | 0.504244i | ||||
\(848\) | −9.36723 | + | 9.36723i | −0.321672 | + | 0.321672i | ||||
\(849\) | −7.01517 | + | 2.48380i | −0.240760 | + | 0.0852440i | ||||
\(850\) | 7.93468 | + | 10.6622i | 0.272157 | + | 0.365712i | ||||
\(851\) | − | 24.0668i | − | 0.824999i | ||||||
\(852\) | −12.4845 | − | 5.95555i | −0.427711 | − | 0.204034i | ||||
\(853\) | 19.7643 | − | 8.18664i | 0.676717 | − | 0.280305i | −0.0177368 | − | 0.999843i | \(-0.505646\pi\) |
0.694454 | + | 0.719537i | \(0.255646\pi\) | |||||||
\(854\) | 32.4399 | − | 6.45452i | 1.11007 | − | 0.220869i | ||||
\(855\) | 20.3662 | + | 11.0606i | 0.696508 | + | 0.378264i | ||||
\(856\) | −6.89968 | + | 16.6573i | −0.235826 | + | 0.569334i | ||||
\(857\) | 14.6178 | + | 6.05490i | 0.499335 | + | 0.206831i | 0.618113 | − | 0.786090i | \(-0.287898\pi\) |
−0.118778 | + | 0.992921i | \(0.537898\pi\) | |||||||
\(858\) | 3.58009 | − | 7.50484i | 0.122222 | − | 0.256211i | ||||
\(859\) | −21.8132 | − | 21.8132i | −0.744258 | − | 0.744258i | 0.229136 | − | 0.973394i | \(-0.426410\pi\) |
−0.973394 | + | 0.229136i | \(0.926410\pi\) | |||||||
\(860\) | 11.6757 | + | 4.83622i | 0.398137 | + | 0.164914i | ||||
\(861\) | −5.66238 | − | 39.0516i | −0.192973 | − | 1.33088i | ||||
\(862\) | 6.25744 | − | 2.59192i | 0.213129 | − | 0.0882811i | ||||
\(863\) | −38.1783 | −1.29960 | −0.649802 | − | 0.760103i | \(-0.725148\pi\) | ||||
−0.649802 | + | 0.760103i | \(0.725148\pi\) | |||||||
\(864\) | 5.13206 | + | 0.813632i | 0.174596 | + | 0.0276803i | ||||
\(865\) | 0.126789 | + | 0.126789i | 0.00431095 | + | 0.00431095i | ||||
\(866\) | 25.3547 | 0.861586 | ||||||||
\(867\) | 12.5878 | + | 26.6186i | 0.427504 | + | 0.904013i | ||||
\(868\) | 20.7900 | − | 4.13656i | 0.705658 | − | 0.140404i | ||||
\(869\) | −1.89534 | + | 1.89534i | −0.0642949 | + | 0.0642949i | ||||
\(870\) | 8.37489 | − | 7.54002i | 0.283935 | − | 0.255631i | ||||
\(871\) | −11.8534 | −0.401636 | ||||||||
\(872\) | 4.77892 | + | 11.5373i | 0.161834 | + | 0.390703i | ||||
\(873\) | −8.27445 | + | 2.45010i | −0.280048 | + | 0.0829233i | ||||
\(874\) | 10.9408 | − | 26.4135i | 0.370078 | − | 0.893448i | ||||
\(875\) | 24.1131 | + | 16.1100i | 0.815171 | + | 0.544616i | ||||
\(876\) | −5.11761 | + | 10.7279i | −0.172908 | + | 0.362462i | ||||
\(877\) | −14.2119 | − | 5.88676i | −0.479902 | − | 0.198782i | 0.129600 | − | 0.991566i | \(-0.458631\pi\) |
−0.609502 | + | 0.792785i | \(0.708631\pi\) | |||||||
\(878\) | 0.454700 | − | 1.09774i | 0.0153454 | − | 0.0370471i | ||||
\(879\) | 8.57362 | + | 9.52294i | 0.289181 | + | 0.321201i | ||||
\(880\) | 1.34418 | 0.0453123 | ||||||||
\(881\) | 3.84673 | + | 9.28683i | 0.129600 | + | 0.312881i | 0.975338 | − | 0.220717i | \(-0.0708396\pi\) |
−0.845738 | + | 0.533598i | \(0.820840\pi\) | |||||||
\(882\) | −5.96449 | − | 20.1352i | −0.200835 | − | 0.677986i | ||||
\(883\) | −23.5272 | −0.791752 | −0.395876 | − | 0.918304i | \(-0.629559\pi\) | ||||
−0.395876 | + | 0.918304i | \(0.629559\pi\) | |||||||
\(884\) | −11.7176 | − | 15.7455i | −0.394105 | − | 0.529580i | ||||
\(885\) | −0.563550 | − | 1.59167i | −0.0189435 | − | 0.0535034i | ||||
\(886\) | −9.26883 | − | 9.26883i | −0.311393 | − | 0.311393i | ||||
\(887\) | −4.63670 | − | 11.1940i | −0.155685 | − | 0.375858i | 0.826721 | − | 0.562611i | \(-0.190203\pi\) |
−0.982407 | + | 0.186754i | \(0.940203\pi\) | |||||||
\(888\) | 2.82052 | + | 7.96618i | 0.0946505 | + | 0.267327i | ||||
\(889\) | 12.7309 | + | 19.0509i | 0.426982 | + | 0.638948i | ||||
\(890\) | 13.9962 | + | 5.79742i | 0.469154 | + | 0.194330i | ||||
\(891\) | 7.47906 | + | 5.14243i | 0.250558 | + | 0.172278i | ||||
\(892\) | −9.16074 | − | 9.16074i | −0.306724 | − | 0.306724i | ||||
\(893\) | −37.5024 | − | 37.5024i | −1.25497 | − | 1.25497i | ||||
\(894\) | 1.51900 | − | 28.9563i | 0.0508029 | − | 0.968444i | ||||
\(895\) | −27.4825 | − | 11.3836i | −0.918638 | − | 0.380512i | ||||
\(896\) | −2.19978 | + | 1.47002i | −0.0734896 | + | 0.0491099i | ||||
\(897\) | 38.3381 | − | 13.5741i | 1.28007 | − | 0.453224i | ||||
\(898\) | 10.9594 | + | 26.4584i | 0.365721 | + | 0.882928i | ||||
\(899\) | −27.6541 | − | 27.6541i | −0.922316 | − | 0.922316i | ||||
\(900\) | 7.51592 | − | 6.08502i | 0.250531 | − | 0.202834i | ||||
\(901\) | −7.92615 | + | 54.0417i | −0.264058 | + | 1.80039i | ||||
\(902\) | −8.68397 | −0.289145 | ||||||||
\(903\) | −42.1131 | − | 10.6952i | −1.40144 | − | 0.355914i | ||||
\(904\) | −6.45188 | − | 15.5762i | −0.214586 | − | 0.518058i | ||||
\(905\) | −19.1286 | −0.635857 | ||||||||
\(906\) | −19.0133 | + | 17.1179i | −0.631675 | + | 0.568705i | ||||
\(907\) | −21.3566 | + | 51.5595i | −0.709135 | + | 1.71200i | −0.00698393 | + | 0.999976i | \(0.502223\pi\) |
−0.702151 | + | 0.712028i | \(0.747777\pi\) | |||||||
\(908\) | −1.47464 | − | 0.610817i | −0.0489377 | − | 0.0202707i | ||||
\(909\) | −3.59217 | + | 34.1441i | −0.119145 | + | 1.13249i | ||||
\(910\) | −13.9582 | − | 9.32548i | −0.462710 | − | 0.309137i | ||||
\(911\) | −12.3815 | + | 29.8915i | −0.410217 | + | 0.990351i | 0.574862 | + | 0.818250i | \(0.305056\pi\) |
−0.985079 | + | 0.172101i | \(0.944944\pi\) | |||||||
\(912\) | −0.525901 | + | 10.0251i | −0.0174143 | + | 0.331966i | ||||
\(913\) | −4.05376 | − | 9.78665i | −0.134160 | − | 0.323891i | ||||
\(914\) | 32.3527 | 1.07013 | ||||||||
\(915\) | 19.3105 | + | 21.4487i | 0.638387 | + | 0.709072i | ||||
\(916\) | 2.84065 | − | 2.84065i | 0.0938578 | − | 0.0938578i | ||||
\(917\) | −3.76437 | − | 18.9194i | −0.124310 | − | 0.624773i | ||||
\(918\) | 18.9781 | − | 9.94150i | 0.626369 | − | 0.328118i | ||||
\(919\) | −58.5944 | −1.93285 | −0.966425 | − | 0.256950i | \(-0.917282\pi\) | ||||
−0.966425 | + | 0.256950i | \(0.917282\pi\) | |||||||
\(920\) | 4.64895 | + | 4.64895i | 0.153271 | + | 0.153271i | ||||
\(921\) | −0.378954 | − | 0.420914i | −0.0124870 | − | 0.0138696i | ||||
\(922\) | −33.0283 | −1.08773 | ||||||||
\(923\) | 35.1220 | − | 14.5480i | 1.15605 | − | 0.478853i | ||||
\(924\) | −4.57364 | + | 0.663166i | −0.150462 | + | 0.0218166i | ||||
\(925\) | 14.5303 | + | 6.01863i | 0.477752 | + | 0.197891i | ||||
\(926\) | 7.66472 | + | 7.66472i | 0.251878 | + | 0.251878i | ||||
\(927\) | −42.5043 | − | 4.47171i | −1.39603 | − | 0.146870i | ||||
\(928\) | 4.50977 | + | 1.86801i | 0.148040 | + | 0.0613203i | ||||
\(929\) | −1.12368 | + | 2.71280i | −0.0368667 | + | 0.0890042i | −0.941240 | − | 0.337737i | \(-0.890339\pi\) |
0.904374 | + | 0.426741i | \(0.140339\pi\) | |||||||
\(930\) | 12.3757 | + | 13.7460i | 0.405815 | + | 0.450749i | ||||
\(931\) | 37.4818 | − | 15.5302i | 1.22842 | − | 0.508983i | ||||
\(932\) | 20.0912 | − | 8.32203i | 0.658108 | − | 0.272597i | ||||
\(933\) | −12.7279 | + | 26.6811i | −0.416692 | + | 0.873499i | ||||
\(934\) | 18.4831i | 0.604784i | ||||||||
\(935\) | 4.44614 | − | 3.30875i | 0.145404 | − | 0.108208i | ||||
\(936\) | −11.0992 | + | 8.98610i | −0.362788 | + | 0.293720i | ||||
\(937\) | −18.6435 | + | 18.6435i | −0.609056 | + | 0.609056i | −0.942699 | − | 0.333643i | \(-0.891722\pi\) |
0.333643 | + | 0.942699i | \(0.391722\pi\) | |||||||
\(938\) | 3.66044 | + | 5.47759i | 0.119518 | + | 0.178850i | ||||
\(939\) | −3.79989 | − | 10.7323i | −0.124005 | − | 0.350234i | ||||
\(940\) | 11.2681 | − | 4.66738i | 0.367523 | − | 0.152233i | ||||
\(941\) | 17.0654 | − | 41.1995i | 0.556316 | − | 1.34307i | −0.356347 | − | 0.934354i | \(-0.615978\pi\) |
0.912663 | − | 0.408713i | \(-0.134022\pi\) | |||||||
\(942\) | 1.81543 | − | 34.6071i | 0.0591498 | − | 1.12756i | ||||
\(943\) | −30.0342 | − | 30.0342i | −0.978047 | − | 0.978047i | ||||
\(944\) | 0.517174 | − | 0.517174i | 0.0168326 | − | 0.0168326i | ||||
\(945\) | 12.4396 | − | 13.4544i | 0.404659 | − | 0.437673i | ||||
\(946\) | −3.65924 | + | 8.83418i | −0.118972 | + | 0.287224i | ||||
\(947\) | 15.7427 | + | 38.0062i | 0.511569 | + | 1.23504i | 0.942970 | + | 0.332877i | \(0.108019\pi\) |
−0.431401 | + | 0.902160i | \(0.641981\pi\) | |||||||
\(948\) | 4.33956 | − | 1.53647i | 0.140942 | − | 0.0499023i | ||||
\(949\) | −12.5011 | − | 30.1803i | −0.405803 | − | 0.979694i | ||||
\(950\) | 13.2110 | + | 13.2110i | 0.428621 | + | 0.428621i | ||||
\(951\) | 4.21575 | − | 1.49263i | 0.136705 | − | 0.0484020i | ||||
\(952\) | −3.65770 | + | 10.2772i | −0.118547 | + | 0.333087i | ||||
\(953\) | − | 35.2415i | − | 1.14158i | −0.821095 | − | 0.570792i | \(-0.806636\pi\) | ||
0.821095 | − | 0.570792i | \(-0.193364\pi\) | |||||||
\(954\) | 39.5237 | + | 4.15812i | 1.27963 | + | 0.134624i | ||||
\(955\) | −11.1566 | + | 4.62121i | −0.361019 | + | 0.149539i | ||||
\(956\) | −9.94764 | −0.321730 | ||||||||
\(957\) | 5.70502 | + | 6.33670i | 0.184417 | + | 0.204837i | ||||
\(958\) | −13.2579 | − | 5.49162i | −0.428345 | − | 0.177426i | ||||
\(959\) | 8.79303 | + | 1.74855i | 0.283942 | + | 0.0564635i | ||||
\(960\) | −2.08365 | − | 0.993980i | −0.0672496 | − | 0.0320806i | ||||
\(961\) | 23.4693 | − | 23.4693i | 0.757075 | − | 0.757075i | ||||
\(962\) | −21.4577 | − | 8.88806i | −0.691823 | − | 0.286562i | ||||
\(963\) | 51.8633 | − | 15.3569i | 1.67127 | − | 0.494870i | ||||
\(964\) | 4.25087 | + | 10.2625i | 0.136911 | + | 0.330533i | ||||
\(965\) | − | 5.68366i | − | 0.182964i | ||||||
\(966\) | −18.1119 | − | 13.5247i | −0.582741 | − | 0.435150i | ||||
\(967\) | −21.1221 | − | 21.1221i | −0.679239 | − | 0.679239i | 0.280589 | − | 0.959828i | \(-0.409470\pi\) |
−0.959828 | + | 0.280589i | \(0.909470\pi\) | |||||||
\(968\) | − | 9.98295i | − | 0.320864i | ||||||
\(969\) | 22.9377 | + | 34.4546i | 0.736866 | + | 1.10684i | ||||
\(970\) | 3.83402 | 0.123103 | ||||||||
\(971\) | 3.56265 | + | 3.56265i | 0.114331 | + | 0.114331i | 0.761958 | − | 0.647627i | \(-0.224238\pi\) |
−0.647627 | + | 0.761958i | \(0.724238\pi\) | |||||||
\(972\) | −7.79083 | − | 13.5020i | −0.249891 | − | 0.433076i | ||||
\(973\) | 2.65345 | + | 13.3360i | 0.0850657 | + | 0.427533i | ||||
\(974\) | −1.57270 | − | 3.79684i | −0.0503927 | − | 0.121659i | ||||
\(975\) | −1.39230 | + | 26.5411i | −0.0445893 | + | 0.849996i | ||||
\(976\) | −4.78410 | + | 11.5498i | −0.153135 | + | 0.369701i | ||||
\(977\) | −12.9986 | − | 12.9986i | −0.415862 | − | 0.415862i | 0.467913 | − | 0.883775i | \(-0.345006\pi\) |
−0.883775 | + | 0.467913i | \(0.845006\pi\) | |||||||
\(978\) | −5.67601 | + | 11.8985i | −0.181499 | + | 0.380471i | ||||
\(979\) | −4.38650 | + | 10.5900i | −0.140193 | + | 0.338457i | ||||
\(980\) | 0.00101486 | + | 9.33007i | 3.24184e−5 | + | 0.298038i | ||||
\(981\) | 17.8795 | − | 32.9220i | 0.570847 | − | 1.05112i | ||||
\(982\) | − | 1.43901i | − | 0.0459205i | ||||||
\(983\) | −0.688609 | − | 1.66245i | −0.0219632 | − | 0.0530239i | 0.912517 | − | 0.409038i | \(-0.134136\pi\) |
−0.934481 | + | 0.356014i | \(0.884136\pi\) | |||||||
\(984\) | 13.4613 | + | 6.42153i | 0.429129 | + | 0.204711i | ||||
\(985\) | 15.6651i | 0.499132i | ||||||||
\(986\) | 19.5151 | − | 4.92216i | 0.621487 | − | 0.156754i | ||||
\(987\) | −36.0375 | + | 21.4402i | −1.14708 | + | 0.682450i | ||||
\(988\) | −19.5094 | − | 19.5094i | −0.620676 | − | 0.620676i | ||||
\(989\) | −43.2095 | + | 17.8979i | −1.37398 | + | 0.569121i | ||||
\(990\) | −2.53744 | − | 3.13413i | −0.0806453 | − | 0.0996091i | ||||
\(991\) | −34.0665 | + | 14.1108i | −1.08216 | + | 0.448244i | −0.851265 | − | 0.524735i | \(-0.824164\pi\) |
−0.230892 | + | 0.972979i | \(0.574164\pi\) | |||||||
\(992\) | −3.06602 | + | 7.40204i | −0.0973463 | + | 0.235015i | ||||
\(993\) | −0.239661 | + | 4.56862i | −0.00760543 | + | 0.144981i | ||||
\(994\) | −17.5688 | − | 11.7377i | −0.557249 | − | 0.372298i | ||||
\(995\) | −5.05205 | − | 5.05205i | −0.160161 | − | 0.160161i | ||||
\(996\) | −0.953071 | + | 18.1682i | −0.0301992 | + | 0.575681i | ||||
\(997\) | −15.7482 | − | 6.52312i | −0.498751 | − | 0.206589i | 0.119104 | − | 0.992882i | \(-0.461998\pi\) |
−0.617854 | + | 0.786293i | \(0.711998\pi\) | |||||||
\(998\) | 8.51762 | + | 20.5633i | 0.269620 | + | 0.650921i | ||||
\(999\) | 13.2498 | − | 21.6144i | 0.419205 | − | 0.683848i |
(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 | 714.2.w.f.83.6 | yes | 80 | |
3.2 | odd | 2 | 714.2.w.e.83.1 | ✓ | 80 | ||
7.6 | odd | 2 | inner | 714.2.w.f.83.15 | yes | 80 | |
17.8 | even | 8 | 714.2.w.e.671.20 | yes | 80 | ||
21.20 | even | 2 | 714.2.w.e.83.20 | yes | 80 | ||
51.8 | odd | 8 | inner | 714.2.w.f.671.15 | yes | 80 | |
119.76 | odd | 8 | 714.2.w.e.671.1 | yes | 80 | ||
357.314 | even | 8 | inner | 714.2.w.f.671.6 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
714.2.w.e.83.1 | ✓ | 80 | 3.2 | odd | 2 | ||
714.2.w.e.83.20 | yes | 80 | 21.20 | even | 2 | ||
714.2.w.e.671.1 | yes | 80 | 119.76 | odd | 8 | ||
714.2.w.e.671.20 | yes | 80 | 17.8 | even | 8 | ||
714.2.w.f.83.6 | yes | 80 | 1.1 | even | 1 | trivial | |
714.2.w.f.83.15 | yes | 80 | 7.6 | odd | 2 | inner | |
714.2.w.f.671.6 | yes | 80 | 357.314 | even | 8 | inner | |
714.2.w.f.671.15 | yes | 80 | 51.8 | odd | 8 | inner |