Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(37,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bq (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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 205.1 | ||
Root | \(-0.965926 + 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 336.205 |
Dual form | 336.2.bq.a.277.1 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22474 | − | 0.707107i | −0.866025 | − | 0.500000i | ||||
\(3\) | −0.258819 | + | 0.965926i | −0.149429 | + | 0.557678i | ||||
\(4\) | 1.00000 | + | 1.73205i | 0.500000 | + | 0.866025i | ||||
\(5\) | −0.473232 | − | 1.76612i | −0.211636 | − | 0.789835i | −0.987324 | − | 0.158719i | \(-0.949264\pi\) |
0.775688 | − | 0.631116i | \(-0.217403\pi\) | |||||||
\(6\) | 1.00000 | − | 1.00000i | 0.408248 | − | 0.408248i | ||||
\(7\) | 2.09077 | + | 1.62132i | 0.790237 | + | 0.612801i | ||||
\(8\) | − | 2.82843i | − | 1.00000i | ||||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | −0.669251 | + | 2.49768i | −0.211636 | + | 0.789835i | ||||
\(11\) | 0.400100 | + | 0.107206i | 0.120635 | + | 0.0323239i | 0.318631 | − | 0.947879i | \(-0.396777\pi\) |
−0.197997 | + | 0.980203i | \(0.563444\pi\) | |||||||
\(12\) | −1.93185 | + | 0.517638i | −0.557678 | + | 0.149429i | ||||
\(13\) | 0.414214 | + | 0.414214i | 0.114882 | + | 0.114882i | 0.762211 | − | 0.647329i | \(-0.224114\pi\) |
−0.647329 | + | 0.762211i | \(0.724114\pi\) | |||||||
\(14\) | −1.41421 | − | 3.46410i | −0.377964 | − | 0.925820i | ||||
\(15\) | 1.82843 | 0.472098 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.500000 | + | 0.866025i | ||||
\(17\) | 0.585786 | + | 1.01461i | 0.142074 | + | 0.246080i | 0.928278 | − | 0.371888i | \(-0.121290\pi\) |
−0.786203 | + | 0.617968i | \(0.787956\pi\) | |||||||
\(18\) | 0.707107 | + | 1.22474i | 0.166667 | + | 0.288675i | ||||
\(19\) | 2.73205 | − | 0.732051i | 0.626775 | − | 0.167944i | 0.0685694 | − | 0.997646i | \(-0.478157\pi\) |
0.558206 | + | 0.829702i | \(0.311490\pi\) | |||||||
\(20\) | 2.58579 | − | 2.58579i | 0.578199 | − | 0.578199i | ||||
\(21\) | −2.10721 | + | 1.59990i | −0.459830 | + | 0.349127i | ||||
\(22\) | −0.414214 | − | 0.414214i | −0.0883106 | − | 0.0883106i | ||||
\(23\) | 7.13834 | + | 4.12132i | 1.48845 | + | 0.859355i | 0.999913 | − | 0.0131907i | \(-0.00419886\pi\) |
0.488533 | + | 0.872545i | \(0.337532\pi\) | |||||||
\(24\) | 2.73205 | + | 0.732051i | 0.557678 | + | 0.149429i | ||||
\(25\) | 1.43488 | − | 0.828427i | 0.286976 | − | 0.165685i | ||||
\(26\) | −0.214413 | − | 0.800199i | −0.0420498 | − | 0.156932i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | −0.717439 | + | 5.24264i | −0.135583 | + | 0.990766i | ||||
\(29\) | 1.87868 | + | 1.87868i | 0.348862 | + | 0.348862i | 0.859686 | − | 0.510824i | \(-0.170659\pi\) |
−0.510824 | + | 0.859686i | \(0.670659\pi\) | |||||||
\(30\) | −2.23936 | − | 1.29289i | −0.408849 | − | 0.236049i | ||||
\(31\) | 1.20711 | + | 2.09077i | 0.216803 | + | 0.375513i | 0.953829 | − | 0.300351i | \(-0.0971038\pi\) |
−0.737026 | + | 0.675864i | \(0.763770\pi\) | |||||||
\(32\) | 4.89898 | − | 2.82843i | 0.866025 | − | 0.500000i | ||||
\(33\) | −0.207107 | + | 0.358719i | −0.0360527 | + | 0.0624450i | ||||
\(34\) | − | 1.65685i | − | 0.284148i | ||||||
\(35\) | 1.87404 | − | 4.45982i | 0.316770 | − | 0.753847i | ||||
\(36\) | − | 2.00000i | − | 0.333333i | ||||||
\(37\) | 0.732051 | + | 2.73205i | 0.120348 | + | 0.449146i | 0.999631 | − | 0.0271536i | \(-0.00864431\pi\) |
−0.879283 | + | 0.476300i | \(0.841978\pi\) | |||||||
\(38\) | −3.86370 | − | 1.03528i | −0.626775 | − | 0.167944i | ||||
\(39\) | −0.507306 | + | 0.292893i | −0.0812340 | + | 0.0469005i | ||||
\(40\) | −4.99536 | + | 1.33850i | −0.789835 | + | 0.211636i | ||||
\(41\) | 0.585786i | 0.0914845i | 0.998953 | + | 0.0457422i | \(0.0145653\pi\) | ||||
−0.998953 | + | 0.0457422i | \(0.985435\pi\) | |||||||
\(42\) | 3.71209 | − | 0.469450i | 0.572788 | − | 0.0724377i | ||||
\(43\) | 4.58579 | − | 4.58579i | 0.699326 | − | 0.699326i | −0.264939 | − | 0.964265i | \(-0.585352\pi\) |
0.964265 | + | 0.264939i | \(0.0853519\pi\) | |||||||
\(44\) | 0.214413 | + | 0.800199i | 0.0323239 | + | 0.120635i | ||||
\(45\) | −0.473232 | + | 1.76612i | −0.0705452 | + | 0.263278i | ||||
\(46\) | −5.82843 | − | 10.0951i | −0.859355 | − | 1.48845i | ||||
\(47\) | 3.12132 | − | 5.40629i | 0.455291 | − | 0.788588i | −0.543414 | − | 0.839465i | \(-0.682868\pi\) |
0.998705 | + | 0.0508774i | \(0.0162018\pi\) | |||||||
\(48\) | −2.82843 | − | 2.82843i | −0.408248 | − | 0.408248i | ||||
\(49\) | 1.74264 | + | 6.77962i | 0.248949 | + | 0.968517i | ||||
\(50\) | −2.34315 | −0.331371 | ||||||||
\(51\) | −1.13165 | + | 0.303225i | −0.158463 | + | 0.0424600i | ||||
\(52\) | −0.303225 | + | 1.13165i | −0.0420498 | + | 0.156932i | ||||
\(53\) | −8.36188 | − | 2.24056i | −1.14859 | − | 0.307764i | −0.366192 | − | 0.930540i | \(-0.619338\pi\) |
−0.782401 | + | 0.622775i | \(0.786005\pi\) | |||||||
\(54\) | −1.36603 | + | 0.366025i | −0.185893 | + | 0.0498097i | ||||
\(55\) | − | 0.757359i | − | 0.102122i | ||||||
\(56\) | 4.58579 | − | 5.91359i | 0.612801 | − | 0.790237i | ||||
\(57\) | 2.82843i | 0.374634i | ||||||||
\(58\) | −0.972476 | − | 3.62933i | −0.127692 | − | 0.476554i | ||||
\(59\) | −2.00050 | − | 0.536032i | −0.260443 | − | 0.0697854i | 0.126235 | − | 0.992000i | \(-0.459711\pi\) |
−0.386678 | + | 0.922215i | \(0.626377\pi\) | |||||||
\(60\) | 1.82843 | + | 3.16693i | 0.236049 | + | 0.408849i | ||||
\(61\) | −5.22973 | + | 1.40130i | −0.669598 | + | 0.179418i | −0.577574 | − | 0.816338i | \(-0.696000\pi\) |
−0.0920243 | + | 0.995757i | \(0.529334\pi\) | |||||||
\(62\) | − | 3.41421i | − | 0.433606i | ||||||
\(63\) | −1.00000 | − | 2.44949i | −0.125988 | − | 0.308607i | ||||
\(64\) | −8.00000 | −1.00000 | ||||||||
\(65\) | 0.535534 | − | 0.927572i | 0.0664248 | − | 0.115051i | ||||
\(66\) | 0.507306 | − | 0.292893i | 0.0624450 | − | 0.0360527i | ||||
\(67\) | 3.44584 | − | 12.8601i | 0.420977 | − | 1.57111i | −0.351579 | − | 0.936158i | \(-0.614355\pi\) |
0.772555 | − | 0.634947i | \(-0.218978\pi\) | |||||||
\(68\) | −1.17157 | + | 2.02922i | −0.142074 | + | 0.246080i | ||||
\(69\) | −5.82843 | + | 5.82843i | −0.701660 | + | 0.701660i | ||||
\(70\) | −5.44879 | + | 4.13700i | −0.651254 | + | 0.494466i | ||||
\(71\) | 15.8995i | 1.88692i | 0.331482 | + | 0.943461i | \(0.392451\pi\) | ||||
−0.331482 | + | 0.943461i | \(0.607549\pi\) | |||||||
\(72\) | −1.41421 | + | 2.44949i | −0.166667 | + | 0.288675i | ||||
\(73\) | −3.46410 | + | 2.00000i | −0.405442 | + | 0.234082i | −0.688830 | − | 0.724923i | \(-0.741875\pi\) |
0.283387 | + | 0.959006i | \(0.408542\pi\) | |||||||
\(74\) | 1.03528 | − | 3.86370i | 0.120348 | − | 0.449146i | ||||
\(75\) | 0.428825 | + | 1.60040i | 0.0495165 | + | 0.184798i | ||||
\(76\) | 4.00000 | + | 4.00000i | 0.458831 | + | 0.458831i | ||||
\(77\) | 0.662700 | + | 0.872833i | 0.0755217 | + | 0.0994686i | ||||
\(78\) | 0.828427 | 0.0938009 | ||||||||
\(79\) | −5.62132 | + | 9.73641i | −0.632448 | + | 1.09543i | 0.354602 | + | 0.935017i | \(0.384616\pi\) |
−0.987050 | + | 0.160415i | \(0.948717\pi\) | |||||||
\(80\) | 7.06450 | + | 1.89293i | 0.789835 | + | 0.211636i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 0.414214 | − | 0.717439i | 0.0457422 | − | 0.0792279i | ||||
\(83\) | −8.77817 | − | 8.77817i | −0.963530 | − | 0.963530i | 0.0358281 | − | 0.999358i | \(-0.488593\pi\) |
−0.999358 | + | 0.0358281i | \(0.988593\pi\) | |||||||
\(84\) | −4.87832 | − | 2.04989i | −0.532268 | − | 0.223661i | ||||
\(85\) | 1.51472 | − | 1.51472i | 0.164294 | − | 0.164294i | ||||
\(86\) | −8.85906 | + | 2.37378i | −0.955297 | + | 0.255971i | ||||
\(87\) | −2.30090 | + | 1.32843i | −0.246683 | + | 0.142422i | ||||
\(88\) | 0.303225 | − | 1.13165i | 0.0323239 | − | 0.120635i | ||||
\(89\) | −13.4722 | − | 7.77817i | −1.42805 | − | 0.824485i | −0.431083 | − | 0.902312i | \(-0.641868\pi\) |
−0.996967 | + | 0.0778275i | \(0.975202\pi\) | |||||||
\(90\) | 1.82843 | − | 1.82843i | 0.192733 | − | 0.192733i | ||||
\(91\) | 0.194453 | + | 1.53760i | 0.0203842 | + | 0.161184i | ||||
\(92\) | 16.4853i | 1.71871i | ||||||||
\(93\) | −2.33195 | + | 0.624844i | −0.241812 | + | 0.0647934i | ||||
\(94\) | −7.64564 | + | 4.41421i | −0.788588 | + | 0.455291i | ||||
\(95\) | −2.58579 | − | 4.47871i | −0.265296 | − | 0.459506i | ||||
\(96\) | 1.46410 | + | 5.46410i | 0.149429 | + | 0.557678i | ||||
\(97\) | 8.31371 | 0.844129 | 0.422065 | − | 0.906566i | \(-0.361306\pi\) | ||||
0.422065 | + | 0.906566i | \(0.361306\pi\) | |||||||
\(98\) | 2.65962 | − | 9.53553i | 0.268662 | − | 0.963234i | ||||
\(99\) | −0.292893 | − | 0.292893i | −0.0294369 | − | 0.0294369i | ||||
\(100\) | 2.86976 | + | 1.65685i | 0.286976 | + | 0.165685i | ||||
\(101\) | −7.39595 | − | 1.98174i | −0.735925 | − | 0.197190i | −0.128659 | − | 0.991689i | \(-0.541067\pi\) |
−0.607266 | + | 0.794498i | \(0.707734\pi\) | |||||||
\(102\) | 1.60040 | + | 0.428825i | 0.158463 | + | 0.0424600i | ||||
\(103\) | −15.2913 | − | 8.82843i | −1.50670 | − | 0.869891i | −0.999970 | − | 0.00778320i | \(-0.997523\pi\) |
−0.506725 | − | 0.862108i | \(-0.669144\pi\) | |||||||
\(104\) | 1.17157 | − | 1.17157i | 0.114882 | − | 0.114882i | ||||
\(105\) | 3.82282 | + | 2.96447i | 0.373069 | + | 0.289302i | ||||
\(106\) | 8.65685 | + | 8.65685i | 0.840828 | + | 0.840828i | ||||
\(107\) | 4.15950 | + | 15.5235i | 0.402114 | + | 1.50071i | 0.809317 | + | 0.587372i | \(0.199837\pi\) |
−0.407203 | + | 0.913338i | \(0.633496\pi\) | |||||||
\(108\) | 1.93185 | + | 0.517638i | 0.185893 | + | 0.0498097i | ||||
\(109\) | 0.392038 | − | 1.46311i | 0.0375504 | − | 0.140140i | −0.944606 | − | 0.328207i | \(-0.893556\pi\) |
0.982156 | + | 0.188067i | \(0.0602222\pi\) | |||||||
\(110\) | −0.535534 | + | 0.927572i | −0.0510612 | + | 0.0884405i | ||||
\(111\) | −2.82843 | −0.268462 | ||||||||
\(112\) | −9.79796 | + | 4.00000i | −0.925820 | + | 0.377964i | ||||
\(113\) | 3.89949 | 0.366834 | 0.183417 | − | 0.983035i | \(-0.441284\pi\) | ||||
0.183417 | + | 0.983035i | \(0.441284\pi\) | |||||||
\(114\) | 2.00000 | − | 3.46410i | 0.187317 | − | 0.324443i | ||||
\(115\) | 3.90068 | − | 14.5575i | 0.363740 | − | 1.35750i | ||||
\(116\) | −1.37529 | + | 5.13265i | −0.127692 | + | 0.476554i | ||||
\(117\) | −0.151613 | − | 0.565826i | −0.0140166 | − | 0.0523107i | ||||
\(118\) | 2.07107 | + | 2.07107i | 0.190657 | + | 0.190657i | ||||
\(119\) | −0.420266 | + | 3.07107i | −0.0385257 | + | 0.281524i | ||||
\(120\) | − | 5.17157i | − | 0.472098i | ||||||
\(121\) | −9.37769 | − | 5.41421i | −0.852518 | − | 0.492201i | ||||
\(122\) | 7.39595 | + | 1.98174i | 0.669598 | + | 0.179418i | ||||
\(123\) | −0.565826 | − | 0.151613i | −0.0510188 | − | 0.0136705i | ||||
\(124\) | −2.41421 | + | 4.18154i | −0.216803 | + | 0.375513i | ||||
\(125\) | −8.60660 | − | 8.60660i | −0.769798 | − | 0.769798i | ||||
\(126\) | −0.507306 | + | 3.70711i | −0.0451944 | + | 0.330255i | ||||
\(127\) | 11.2426 | 0.997623 | 0.498812 | − | 0.866710i | \(-0.333770\pi\) | ||||
0.498812 | + | 0.866710i | \(0.333770\pi\) | |||||||
\(128\) | 9.79796 | + | 5.65685i | 0.866025 | + | 0.500000i | ||||
\(129\) | 3.24264 | + | 5.61642i | 0.285499 | + | 0.494498i | ||||
\(130\) | −1.31178 | + | 0.757359i | −0.115051 | + | 0.0664248i | ||||
\(131\) | 5.53275 | − | 1.48250i | 0.483398 | − | 0.129526i | −0.00888618 | − | 0.999961i | \(-0.502829\pi\) |
0.492285 | + | 0.870434i | \(0.336162\pi\) | |||||||
\(132\) | −0.828427 | −0.0721053 | ||||||||
\(133\) | 6.89898 | + | 2.89898i | 0.598217 | + | 0.251373i | ||||
\(134\) | −13.3137 | + | 13.3137i | −1.15013 | + | 1.15013i | ||||
\(135\) | −1.58346 | − | 0.914214i | −0.136283 | − | 0.0786830i | ||||
\(136\) | 2.86976 | − | 1.65685i | 0.246080 | − | 0.142074i | ||||
\(137\) | 11.1097 | − | 6.41421i | 0.949169 | − | 0.548003i | 0.0563466 | − | 0.998411i | \(-0.482055\pi\) |
0.892823 | + | 0.450408i | \(0.148721\pi\) | |||||||
\(138\) | 11.2597 | − | 3.01702i | 0.958486 | − | 0.256825i | ||||
\(139\) | 12.8995 | − | 12.8995i | 1.09412 | − | 1.09412i | 0.0990371 | − | 0.995084i | \(-0.468424\pi\) |
0.995084 | − | 0.0990371i | \(-0.0315763\pi\) | |||||||
\(140\) | 9.59867 | − | 1.21390i | 0.811236 | − | 0.102593i | ||||
\(141\) | 4.41421 | + | 4.41421i | 0.371744 | + | 0.371744i | ||||
\(142\) | 11.2426 | − | 19.4728i | 0.943461 | − | 1.63412i | ||||
\(143\) | 0.121320 | + | 0.210133i | 0.0101453 | + | 0.0175722i | ||||
\(144\) | 3.46410 | − | 2.00000i | 0.288675 | − | 0.166667i | ||||
\(145\) | 2.42893 | − | 4.20703i | 0.201712 | − | 0.349375i | ||||
\(146\) | 5.65685 | 0.468165 | ||||||||
\(147\) | −6.99964 | − | 0.0714323i | −0.577320 | − | 0.00589164i | ||||
\(148\) | −4.00000 | + | 4.00000i | −0.328798 | + | 0.328798i | ||||
\(149\) | −3.83788 | − | 14.3232i | −0.314411 | − | 1.17340i | −0.924536 | − | 0.381094i | \(-0.875547\pi\) |
0.610125 | − | 0.792305i | \(-0.291119\pi\) | |||||||
\(150\) | 0.606451 | − | 2.26330i | 0.0495165 | − | 0.184798i | ||||
\(151\) | 8.30153 | − | 4.79289i | 0.675569 | − | 0.390040i | −0.122614 | − | 0.992454i | \(-0.539128\pi\) |
0.798184 | + | 0.602414i | \(0.205794\pi\) | |||||||
\(152\) | −2.07055 | − | 7.72741i | −0.167944 | − | 0.626775i | ||||
\(153\) | − | 1.17157i | − | 0.0947161i | ||||||
\(154\) | −0.194453 | − | 1.53760i | −0.0156694 | − | 0.123903i | ||||
\(155\) | 3.12132 | − | 3.12132i | 0.250710 | − | 0.250710i | ||||
\(156\) | −1.01461 | − | 0.585786i | −0.0812340 | − | 0.0469005i | ||||
\(157\) | 5.42758 | − | 20.2560i | 0.433168 | − | 1.61661i | −0.312244 | − | 0.950002i | \(-0.601081\pi\) |
0.745412 | − | 0.666604i | \(-0.232253\pi\) | |||||||
\(158\) | 13.7694 | − | 7.94975i | 1.09543 | − | 0.632448i | ||||
\(159\) | 4.32843 | − | 7.49706i | 0.343267 | − | 0.594555i | ||||
\(160\) | −7.31371 | − | 7.31371i | −0.578199 | − | 0.578199i | ||||
\(161\) | 8.24264 | + | 20.1903i | 0.649611 | + | 1.59122i | ||||
\(162\) | − | 1.41421i | − | 0.111111i | ||||||
\(163\) | −7.49303 | + | 2.00775i | −0.586900 | + | 0.157259i | −0.540036 | − | 0.841642i | \(-0.681589\pi\) |
−0.0468638 | + | 0.998901i | \(0.514923\pi\) | |||||||
\(164\) | −1.01461 | + | 0.585786i | −0.0792279 | + | 0.0457422i | ||||
\(165\) | 0.731553 | + | 0.196019i | 0.0569513 | + | 0.0152601i | ||||
\(166\) | 4.54392 | + | 16.9581i | 0.352676 | + | 1.31621i | ||||
\(167\) | 6.00000i | 0.464294i | 0.972681 | + | 0.232147i | \(0.0745750\pi\) | ||||
−0.972681 | + | 0.232147i | \(0.925425\pi\) | |||||||
\(168\) | 4.52520 | + | 5.96008i | 0.349127 | + | 0.459830i | ||||
\(169\) | − | 12.6569i | − | 0.973604i | ||||||
\(170\) | −2.92621 | + | 0.784076i | −0.224430 | + | 0.0601359i | ||||
\(171\) | −2.73205 | − | 0.732051i | −0.208925 | − | 0.0559813i | ||||
\(172\) | 12.5286 | + | 3.35703i | 0.955297 | + | 0.255971i | ||||
\(173\) | −16.3923 | + | 4.39230i | −1.24628 | + | 0.333941i | −0.820900 | − | 0.571072i | \(-0.806528\pi\) |
−0.425384 | + | 0.905013i | \(0.639861\pi\) | |||||||
\(174\) | 3.75736 | 0.284845 | ||||||||
\(175\) | 4.34315 | + | 0.594346i | 0.328311 | + | 0.0449283i | ||||
\(176\) | −1.17157 | + | 1.17157i | −0.0883106 | + | 0.0883106i | ||||
\(177\) | 1.03553 | − | 1.79360i | 0.0778355 | − | 0.134815i | ||||
\(178\) | 11.0000 | + | 19.0526i | 0.824485 | + | 1.42805i | ||||
\(179\) | −4.82113 | + | 17.9927i | −0.360348 | + | 1.34484i | 0.513271 | + | 0.858227i | \(0.328434\pi\) |
−0.873619 | + | 0.486611i | \(0.838233\pi\) | |||||||
\(180\) | −3.53225 | + | 0.946464i | −0.263278 | + | 0.0705452i | ||||
\(181\) | −15.7279 | + | 15.7279i | −1.16905 | + | 1.16905i | −0.186614 | + | 0.982433i | \(0.559751\pi\) |
−0.982433 | + | 0.186614i | \(0.940249\pi\) | |||||||
\(182\) | 0.849091 | − | 2.02066i | 0.0629388 | − | 0.149782i | ||||
\(183\) | − | 5.41421i | − | 0.400230i | ||||||
\(184\) | 11.6569 | − | 20.1903i | 0.859355 | − | 1.48845i | ||||
\(185\) | 4.47871 | − | 2.58579i | 0.329282 | − | 0.190111i | ||||
\(186\) | 3.29788 | + | 0.883663i | 0.241812 | + | 0.0647934i | ||||
\(187\) | 0.125600 | + | 0.468746i | 0.00918479 | + | 0.0342781i | ||||
\(188\) | 12.4853 | 0.910583 | ||||||||
\(189\) | 2.62484 | − | 0.331951i | 0.190929 | − | 0.0241459i | ||||
\(190\) | 7.31371i | 0.530592i | ||||||||
\(191\) | −9.65685 | + | 16.7262i | −0.698745 | + | 1.21026i | 0.270156 | + | 0.962817i | \(0.412925\pi\) |
−0.968902 | + | 0.247446i | \(0.920409\pi\) | |||||||
\(192\) | 2.07055 | − | 7.72741i | 0.149429 | − | 0.557678i | ||||
\(193\) | 3.50000 | + | 6.06218i | 0.251936 | + | 0.436365i | 0.964059 | − | 0.265689i | \(-0.0855996\pi\) |
−0.712123 | + | 0.702055i | \(0.752266\pi\) | |||||||
\(194\) | −10.1822 | − | 5.87868i | −0.731037 | − | 0.422065i | ||||
\(195\) | 0.757359 | + | 0.757359i | 0.0542356 | + | 0.0542356i | ||||
\(196\) | −10.0000 | + | 9.79796i | −0.714286 | + | 0.699854i | ||||
\(197\) | 3.17157 | − | 3.17157i | 0.225965 | − | 0.225965i | −0.585040 | − | 0.811005i | \(-0.698921\pi\) |
0.811005 | + | 0.585040i | \(0.198921\pi\) | |||||||
\(198\) | 0.151613 | + | 0.565826i | 0.0107746 | + | 0.0402115i | ||||
\(199\) | −16.3059 | + | 9.41421i | −1.15589 | + | 0.667356i | −0.950317 | − | 0.311285i | \(-0.899241\pi\) |
−0.205578 | + | 0.978641i | \(0.565907\pi\) | |||||||
\(200\) | −2.34315 | − | 4.05845i | −0.165685 | − | 0.286976i | ||||
\(201\) | 11.5300 | + | 6.65685i | 0.813264 | + | 0.469538i | ||||
\(202\) | 7.65685 | + | 7.65685i | 0.538734 | + | 0.538734i | ||||
\(203\) | 0.881946 | + | 6.97383i | 0.0619005 | + | 0.489467i | ||||
\(204\) | −1.65685 | − | 1.65685i | −0.116003 | − | 0.116003i | ||||
\(205\) | 1.03457 | − | 0.277213i | 0.0722576 | − | 0.0193614i | ||||
\(206\) | 12.4853 | + | 21.6251i | 0.869891 | + | 1.50670i | ||||
\(207\) | −4.12132 | − | 7.13834i | −0.286452 | − | 0.496149i | ||||
\(208\) | −2.26330 | + | 0.606451i | −0.156932 | + | 0.0420498i | ||||
\(209\) | 1.17157 | 0.0810394 | ||||||||
\(210\) | −2.58579 | − | 6.33386i | −0.178436 | − | 0.437078i | ||||
\(211\) | −8.41421 | − | 8.41421i | −0.579258 | − | 0.579258i | 0.355441 | − | 0.934699i | \(-0.384331\pi\) |
−0.934699 | + | 0.355441i | \(0.884331\pi\) | |||||||
\(212\) | −4.48112 | − | 16.7238i | −0.307764 | − | 1.14859i | ||||
\(213\) | −15.3577 | − | 4.11509i | −1.05229 | − | 0.281961i | ||||
\(214\) | 5.88242 | − | 21.9535i | 0.402114 | − | 1.50071i | ||||
\(215\) | −10.2692 | − | 5.92893i | −0.700354 | − | 0.404350i | ||||
\(216\) | −2.00000 | − | 2.00000i | −0.136083 | − | 0.136083i | ||||
\(217\) | −0.866025 | + | 6.32843i | −0.0587896 | + | 0.429602i | ||||
\(218\) | −1.51472 | + | 1.51472i | −0.102590 | + | 0.102590i | ||||
\(219\) | −1.03528 | − | 3.86370i | −0.0699575 | − | 0.261085i | ||||
\(220\) | 1.31178 | − | 0.757359i | 0.0884405 | − | 0.0510612i | ||||
\(221\) | −0.177625 | + | 0.662907i | −0.0119484 | + | 0.0445919i | ||||
\(222\) | 3.46410 | + | 2.00000i | 0.232495 | + | 0.134231i | ||||
\(223\) | 20.5563 | 1.37655 | 0.688277 | − | 0.725448i | \(-0.258367\pi\) | ||||
0.688277 | + | 0.725448i | \(0.258367\pi\) | |||||||
\(224\) | 14.8284 | + | 2.02922i | 0.990766 | + | 0.135583i | ||||
\(225\) | −1.65685 | −0.110457 | ||||||||
\(226\) | −4.77589 | − | 2.75736i | −0.317687 | − | 0.183417i | ||||
\(227\) | −2.78421 | + | 10.3908i | −0.184794 | + | 0.689662i | 0.809880 | + | 0.586596i | \(0.199532\pi\) |
−0.994674 | + | 0.103067i | \(0.967134\pi\) | |||||||
\(228\) | −4.89898 | + | 2.82843i | −0.324443 | + | 0.187317i | ||||
\(229\) | 6.31124 | + | 23.5539i | 0.417059 | + | 1.55648i | 0.780676 | + | 0.624936i | \(0.214875\pi\) |
−0.363617 | + | 0.931548i | \(0.618458\pi\) | |||||||
\(230\) | −15.0711 | + | 15.0711i | −0.993757 | + | 0.993757i | ||||
\(231\) | −1.01461 | + | 0.414214i | −0.0667566 | + | 0.0272533i | ||||
\(232\) | 5.31371 | − | 5.31371i | 0.348862 | − | 0.348862i | ||||
\(233\) | 4.47871 | + | 2.58579i | 0.293410 | + | 0.169401i | 0.639479 | − | 0.768809i | \(-0.279150\pi\) |
−0.346069 | + | 0.938209i | \(0.612484\pi\) | |||||||
\(234\) | −0.214413 | + | 0.800199i | −0.0140166 | + | 0.0523107i | ||||
\(235\) | −11.0253 | − | 2.95422i | −0.719210 | − | 0.192712i | ||||
\(236\) | −1.07206 | − | 4.00100i | −0.0697854 | − | 0.260443i | ||||
\(237\) | −7.94975 | − | 7.94975i | −0.516392 | − | 0.516392i | ||||
\(238\) | 2.68629 | − | 3.46410i | 0.174126 | − | 0.224544i | ||||
\(239\) | 11.0711 | 0.716128 | 0.358064 | − | 0.933697i | \(-0.383437\pi\) | ||||
0.358064 | + | 0.933697i | \(0.383437\pi\) | |||||||
\(240\) | −3.65685 | + | 6.33386i | −0.236049 | + | 0.408849i | ||||
\(241\) | −11.5711 | − | 20.0417i | −0.745358 | − | 1.29100i | −0.950027 | − | 0.312167i | \(-0.898945\pi\) |
0.204669 | − | 0.978831i | \(-0.434388\pi\) | |||||||
\(242\) | 7.65685 | + | 13.2621i | 0.492201 | + | 0.852518i | ||||
\(243\) | −0.965926 | + | 0.258819i | −0.0619642 | + | 0.0166032i | ||||
\(244\) | −7.65685 | − | 7.65685i | −0.490180 | − | 0.490180i | ||||
\(245\) | 11.1490 | − | 6.28605i | 0.712282 | − | 0.401601i | ||||
\(246\) | 0.585786 | + | 0.585786i | 0.0373484 | + | 0.0373484i | ||||
\(247\) | 1.43488 | + | 0.828427i | 0.0912991 | + | 0.0527116i | ||||
\(248\) | 5.91359 | − | 3.41421i | 0.375513 | − | 0.216803i | ||||
\(249\) | 10.7510 | − | 6.20711i | 0.681318 | − | 0.393359i | ||||
\(250\) | 4.45510 | + | 16.6267i | 0.281766 | + | 1.05156i | ||||
\(251\) | −4.05025 | + | 4.05025i | −0.255650 | + | 0.255650i | −0.823282 | − | 0.567632i | \(-0.807859\pi\) |
0.567632 | + | 0.823282i | \(0.307859\pi\) | |||||||
\(252\) | 3.24264 | − | 4.18154i | 0.204267 | − | 0.263412i | ||||
\(253\) | 2.41421 | + | 2.41421i | 0.151780 | + | 0.151780i | ||||
\(254\) | −13.7694 | − | 7.94975i | −0.863967 | − | 0.498812i | ||||
\(255\) | 1.07107 | + | 1.85514i | 0.0670729 | + | 0.116174i | ||||
\(256\) | −8.00000 | − | 13.8564i | −0.500000 | − | 0.866025i | ||||
\(257\) | 10.1213 | − | 17.5306i | 0.631351 | − | 1.09353i | −0.355925 | − | 0.934514i | \(-0.615834\pi\) |
0.987276 | − | 0.159017i | \(-0.0508324\pi\) | |||||||
\(258\) | − | 9.17157i | − | 0.570997i | ||||||
\(259\) | −2.89898 | + | 6.89898i | −0.180134 | + | 0.428682i | ||||
\(260\) | 2.14214 | 0.132850 | ||||||||
\(261\) | −0.687644 | − | 2.56632i | −0.0425641 | − | 0.158851i | ||||
\(262\) | −7.82449 | − | 2.09656i | −0.483398 | − | 0.129526i | ||||
\(263\) | −1.31178 | + | 0.757359i | −0.0808881 | + | 0.0467008i | −0.539899 | − | 0.841730i | \(-0.681537\pi\) |
0.459010 | + | 0.888431i | \(0.348204\pi\) | |||||||
\(264\) | 1.01461 | + | 0.585786i | 0.0624450 | + | 0.0360527i | ||||
\(265\) | 15.8284i | 0.972333i | ||||||||
\(266\) | −6.39960 | − | 8.42883i | −0.392385 | − | 0.516804i | ||||
\(267\) | 11.0000 | − | 11.0000i | 0.673189 | − | 0.673189i | ||||
\(268\) | 25.7201 | − | 6.89168i | 1.57111 | − | 0.420977i | ||||
\(269\) | −0.222032 | + | 0.828633i | −0.0135375 | + | 0.0505227i | −0.972364 | − | 0.233469i | \(-0.924992\pi\) |
0.958827 | + | 0.283992i | \(0.0916589\pi\) | |||||||
\(270\) | 1.29289 | + | 2.23936i | 0.0786830 | + | 0.136283i | ||||
\(271\) | −12.8640 | + | 22.2810i | −0.781430 | + | 1.35348i | 0.149679 | + | 0.988735i | \(0.452176\pi\) |
−0.931109 | + | 0.364742i | \(0.881157\pi\) | |||||||
\(272\) | −4.68629 | −0.284148 | ||||||||
\(273\) | −1.53553 | − | 0.210133i | −0.0929347 | − | 0.0127178i | ||||
\(274\) | −18.1421 | −1.09601 | ||||||||
\(275\) | 0.662907 | − | 0.177625i | 0.0399748 | − | 0.0107112i | ||||
\(276\) | −15.9236 | − | 4.26670i | −0.958486 | − | 0.256825i | ||||
\(277\) | 9.99071 | + | 2.67700i | 0.600284 | + | 0.160846i | 0.546149 | − | 0.837688i | \(-0.316093\pi\) |
0.0541348 | + | 0.998534i | \(0.482760\pi\) | |||||||
\(278\) | −24.9199 | + | 6.67727i | −1.49460 | + | 0.400476i | ||||
\(279\) | − | 2.41421i | − | 0.144535i | ||||||
\(280\) | −12.6143 | − | 5.30057i | −0.753847 | − | 0.316770i | ||||
\(281\) | − | 4.82843i | − | 0.288040i | −0.989575 | − | 0.144020i | \(-0.953997\pi\) | ||
0.989575 | − | 0.144020i | \(-0.0460029\pi\) | |||||||
\(282\) | −2.28497 | − | 8.52761i | −0.136068 | − | 0.507812i | ||||
\(283\) | −22.6566 | − | 6.07082i | −1.34680 | − | 0.360873i | −0.487844 | − | 0.872931i | \(-0.662217\pi\) |
−0.858951 | + | 0.512058i | \(0.828883\pi\) | |||||||
\(284\) | −27.5387 | + | 15.8995i | −1.63412 | + | 0.943461i | ||||
\(285\) | 4.99536 | − | 1.33850i | 0.295899 | − | 0.0792860i | ||||
\(286\) | − | 0.343146i | − | 0.0202906i | ||||||
\(287\) | −0.949747 | + | 1.22474i | −0.0560618 | + | 0.0722944i | ||||
\(288\) | −5.65685 | −0.333333 | ||||||||
\(289\) | 7.81371 | − | 13.5337i | 0.459630 | − | 0.796102i | ||||
\(290\) | −5.94964 | + | 3.43503i | −0.349375 | + | 0.201712i | ||||
\(291\) | −2.15175 | + | 8.03043i | −0.126138 | + | 0.470752i | ||||
\(292\) | −6.92820 | − | 4.00000i | −0.405442 | − | 0.234082i | ||||
\(293\) | −10.9497 | + | 10.9497i | −0.639691 | + | 0.639691i | −0.950479 | − | 0.310788i | \(-0.899407\pi\) |
0.310788 | + | 0.950479i | \(0.399407\pi\) | |||||||
\(294\) | 8.52226 | + | 5.03698i | 0.497028 | + | 0.293762i | ||||
\(295\) | 3.78680i | 0.220476i | ||||||||
\(296\) | 7.72741 | − | 2.07055i | 0.449146 | − | 0.120348i | ||||
\(297\) | 0.358719 | − | 0.207107i | 0.0208150 | − | 0.0120176i | ||||
\(298\) | −5.42758 | + | 20.2560i | −0.314411 | + | 1.17340i | ||||
\(299\) | 1.24969 | + | 4.66390i | 0.0722714 | + | 0.269720i | ||||
\(300\) | −2.34315 | + | 2.34315i | −0.135282 | + | 0.135282i | ||||
\(301\) | 17.0229 | − | 2.15280i | 0.981181 | − | 0.124085i | ||||
\(302\) | −13.5563 | −0.780080 | ||||||||
\(303\) | 3.82843 | − | 6.63103i | 0.219937 | − | 0.380943i | ||||
\(304\) | −2.92820 | + | 10.9282i | −0.167944 | + | 0.626775i | ||||
\(305\) | 4.94975 | + | 8.57321i | 0.283422 | + | 0.490901i | ||||
\(306\) | −0.828427 | + | 1.43488i | −0.0473580 | + | 0.0820265i | ||||
\(307\) | 6.31371 | + | 6.31371i | 0.360342 | + | 0.360342i | 0.863939 | − | 0.503597i | \(-0.167990\pi\) |
−0.503597 | + | 0.863939i | \(0.667990\pi\) | |||||||
\(308\) | −0.849091 | + | 2.02066i | −0.0483815 | + | 0.115138i | ||||
\(309\) | 12.4853 | − | 12.4853i | 0.710263 | − | 0.710263i | ||||
\(310\) | −6.02993 | + | 1.61571i | −0.342477 | + | 0.0917664i | ||||
\(311\) | 10.0081 | − | 5.77817i | 0.567507 | − | 0.327650i | −0.188646 | − | 0.982045i | \(-0.560410\pi\) |
0.756153 | + | 0.654395i | \(0.227077\pi\) | |||||||
\(312\) | 0.828427 | + | 1.43488i | 0.0469005 | + | 0.0812340i | ||||
\(313\) | 8.51167 | + | 4.91421i | 0.481108 | + | 0.277768i | 0.720878 | − | 0.693062i | \(-0.243739\pi\) |
−0.239770 | + | 0.970830i | \(0.577072\pi\) | |||||||
\(314\) | −20.9706 | + | 20.9706i | −1.18344 | + | 1.18344i | ||||
\(315\) | −3.85287 | + | 2.92530i | −0.217085 | + | 0.164822i | ||||
\(316\) | −22.4853 | −1.26490 | ||||||||
\(317\) | 10.9566 | − | 2.93582i | 0.615386 | − | 0.164892i | 0.0623567 | − | 0.998054i | \(-0.480138\pi\) |
0.553029 | + | 0.833162i | \(0.313472\pi\) | |||||||
\(318\) | −10.6024 | + | 6.12132i | −0.594555 | + | 0.343267i | ||||
\(319\) | 0.550253 | + | 0.953065i | 0.0308082 | + | 0.0533614i | ||||
\(320\) | 3.78585 | + | 14.1290i | 0.211636 | + | 0.789835i | ||||
\(321\) | −16.0711 | −0.897000 | ||||||||
\(322\) | 4.18154 | − | 30.5563i | 0.233028 | − | 1.70284i | ||||
\(323\) | 2.34315 | + | 2.34315i | 0.130376 | + | 0.130376i | ||||
\(324\) | −1.00000 | + | 1.73205i | −0.0555556 | + | 0.0962250i | ||||
\(325\) | 0.937492 | + | 0.251200i | 0.0520027 | + | 0.0139341i | ||||
\(326\) | 10.5967 | + | 2.83939i | 0.586900 | + | 0.157259i | ||||
\(327\) | 1.31178 | + | 0.757359i | 0.0725419 | + | 0.0418821i | ||||
\(328\) | 1.65685 | 0.0914845 | ||||||||
\(329\) | 15.2913 | − | 6.24264i | 0.843036 | − | 0.344168i | ||||
\(330\) | −0.757359 | − | 0.757359i | −0.0416913 | − | 0.0416913i | ||||
\(331\) | 2.07055 | + | 7.72741i | 0.113808 | + | 0.424737i | 0.999195 | − | 0.0401178i | \(-0.0127733\pi\) |
−0.885387 | + | 0.464854i | \(0.846107\pi\) | |||||||
\(332\) | 6.42607 | − | 23.9824i | 0.352676 | − | 1.31621i | ||||
\(333\) | 0.732051 | − | 2.73205i | 0.0401161 | − | 0.149715i | ||||
\(334\) | 4.24264 | − | 7.34847i | 0.232147 | − | 0.402090i | ||||
\(335\) | −24.3431 | −1.33001 | ||||||||
\(336\) | −1.32780 | − | 10.4994i | −0.0724377 | − | 0.572788i | ||||
\(337\) | −18.6569 | −1.01630 | −0.508152 | − | 0.861268i | \(-0.669671\pi\) | ||||
−0.508152 | + | 0.861268i | \(0.669671\pi\) | |||||||
\(338\) | −8.94975 | + | 15.5014i | −0.486802 | + | 0.843166i | ||||
\(339\) | −1.00926 | + | 3.76662i | −0.0548157 | + | 0.204575i | ||||
\(340\) | 4.13829 | + | 1.10885i | 0.224430 | + | 0.0601359i | ||||
\(341\) | 0.258819 | + | 0.965926i | 0.0140158 | + | 0.0523078i | ||||
\(342\) | 2.82843 | + | 2.82843i | 0.152944 | + | 0.152944i | ||||
\(343\) | −7.34847 | + | 17.0000i | −0.396780 | + | 0.917914i | ||||
\(344\) | −12.9706 | − | 12.9706i | −0.699326 | − | 0.699326i | ||||
\(345\) | 13.0519 | + | 7.53553i | 0.702692 | + | 0.405700i | ||||
\(346\) | 23.1822 | + | 6.21166i | 1.24628 | + | 0.333941i | ||||
\(347\) | −23.6510 | − | 6.33726i | −1.26965 | − | 0.340202i | −0.439753 | − | 0.898119i | \(-0.644934\pi\) |
−0.829897 | + | 0.557917i | \(0.811601\pi\) | |||||||
\(348\) | −4.60181 | − | 2.65685i | −0.246683 | − | 0.142422i | ||||
\(349\) | −3.41421 | − | 3.41421i | −0.182759 | − | 0.182759i | 0.609798 | − | 0.792557i | \(-0.291251\pi\) |
−0.792557 | + | 0.609798i | \(0.791251\pi\) | |||||||
\(350\) | −4.89898 | − | 3.79899i | −0.261861 | − | 0.203065i | ||||
\(351\) | 0.585786 | 0.0312670 | ||||||||
\(352\) | 2.26330 | − | 0.606451i | 0.120635 | − | 0.0323239i | ||||
\(353\) | −9.65685 | − | 16.7262i | −0.513982 | − | 0.890244i | −0.999868 | − | 0.0162216i | \(-0.994836\pi\) |
0.485886 | − | 0.874022i | \(-0.338497\pi\) | |||||||
\(354\) | −2.53653 | + | 1.46447i | −0.134815 | + | 0.0778355i | ||||
\(355\) | 28.0805 | − | 7.52415i | 1.49036 | − | 0.399340i | ||||
\(356\) | − | 31.1127i | − | 1.64897i | ||||||
\(357\) | −2.85765 | − | 1.20080i | −0.151243 | − | 0.0635529i | ||||
\(358\) | 18.6274 | − | 18.6274i | 0.984490 | − | 0.984490i | ||||
\(359\) | 3.16693 | + | 1.82843i | 0.167144 | + | 0.0965007i | 0.581239 | − | 0.813733i | \(-0.302568\pi\) |
−0.414094 | + | 0.910234i | \(0.635902\pi\) | |||||||
\(360\) | 4.99536 | + | 1.33850i | 0.263278 | + | 0.0705452i | ||||
\(361\) | −9.52628 | + | 5.50000i | −0.501383 | + | 0.289474i | ||||
\(362\) | 30.3840 | − | 8.14137i | 1.59695 | − | 0.427901i | ||||
\(363\) | 7.65685 | − | 7.65685i | 0.401881 | − | 0.401881i | ||||
\(364\) | −2.46875 | + | 1.87440i | −0.129397 | + | 0.0982453i | ||||
\(365\) | 5.17157 | + | 5.17157i | 0.270692 | + | 0.270692i | ||||
\(366\) | −3.82843 | + | 6.63103i | −0.200115 | + | 0.346610i | ||||
\(367\) | −5.69239 | − | 9.85951i | −0.297140 | − | 0.514662i | 0.678340 | − | 0.734748i | \(-0.262700\pi\) |
−0.975480 | + | 0.220086i | \(0.929366\pi\) | |||||||
\(368\) | −28.5533 | + | 16.4853i | −1.48845 | + | 0.859355i | ||||
\(369\) | 0.292893 | − | 0.507306i | 0.0152474 | − | 0.0264093i | ||||
\(370\) | −7.31371 | −0.380222 | ||||||||
\(371\) | −13.8501 | − | 18.2418i | −0.719062 | − | 0.947066i | ||||
\(372\) | −3.41421 | − | 3.41421i | −0.177019 | − | 0.177019i | ||||
\(373\) | 5.15037 | + | 19.2214i | 0.266676 | + | 0.995248i | 0.961217 | + | 0.275795i | \(0.0889410\pi\) |
−0.694541 | + | 0.719454i | \(0.744392\pi\) | |||||||
\(374\) | 0.177625 | − | 0.662907i | 0.00918479 | − | 0.0342781i | ||||
\(375\) | 10.5409 | − | 6.08579i | 0.544329 | − | 0.314269i | ||||
\(376\) | −15.2913 | − | 8.82843i | −0.788588 | − | 0.455291i | ||||
\(377\) | 1.55635i | 0.0801561i | ||||||||
\(378\) | −3.44949 | − | 1.44949i | −0.177423 | − | 0.0745537i | ||||
\(379\) | −4.65685 | + | 4.65685i | −0.239207 | + | 0.239207i | −0.816522 | − | 0.577315i | \(-0.804100\pi\) |
0.577315 | + | 0.816522i | \(0.304100\pi\) | |||||||
\(380\) | 5.17157 | − | 8.95743i | 0.265296 | − | 0.459506i | ||||
\(381\) | −2.90981 | + | 10.8596i | −0.149074 | + | 0.556352i | ||||
\(382\) | 23.6544 | − | 13.6569i | 1.21026 | − | 0.698745i | ||||
\(383\) | 14.5355 | − | 25.1763i | 0.742731 | − | 1.28645i | −0.208516 | − | 0.978019i | \(-0.566863\pi\) |
0.951247 | − | 0.308429i | \(-0.0998032\pi\) | |||||||
\(384\) | −8.00000 | + | 8.00000i | −0.408248 | + | 0.408248i | ||||
\(385\) | 1.22792 | − | 1.58346i | 0.0625807 | − | 0.0807008i | ||||
\(386\) | − | 9.89949i | − | 0.503871i | ||||||
\(387\) | −6.26430 | + | 1.67851i | −0.318432 | + | 0.0853237i | ||||
\(388\) | 8.31371 | + | 14.3998i | 0.422065 | + | 0.731037i | ||||
\(389\) | −3.66954 | − | 0.983251i | −0.186053 | − | 0.0498528i | 0.164589 | − | 0.986362i | \(-0.447370\pi\) |
−0.350643 | + | 0.936509i | \(0.614037\pi\) | |||||||
\(390\) | −0.392038 | − | 1.46311i | −0.0198516 | − | 0.0740872i | ||||
\(391\) | 9.65685i | 0.488368i | ||||||||
\(392\) | 19.1757 | − | 4.92893i | 0.968517 | − | 0.248949i | ||||
\(393\) | 5.72792i | 0.288935i | ||||||||
\(394\) | −6.12701 | + | 1.64173i | −0.308674 | + | 0.0827090i | ||||
\(395\) | 19.8559 | + | 5.32037i | 0.999059 | + | 0.267697i | ||||
\(396\) | 0.214413 | − | 0.800199i | 0.0107746 | − | 0.0402115i | ||||
\(397\) | 31.8471 | − | 8.53341i | 1.59836 | − | 0.428280i | 0.653814 | − | 0.756655i | \(-0.273168\pi\) |
0.944547 | + | 0.328376i | \(0.106501\pi\) | |||||||
\(398\) | 26.6274 | 1.33471 | ||||||||
\(399\) | −4.58579 | + | 5.91359i | −0.229576 | + | 0.296050i | ||||
\(400\) | 6.62742i | 0.331371i | ||||||||
\(401\) | 12.0000 | − | 20.7846i | 0.599251 | − | 1.03793i | −0.393680 | − | 0.919247i | \(-0.628798\pi\) |
0.992932 | − | 0.118686i | \(-0.0378683\pi\) | |||||||
\(402\) | −9.41421 | − | 16.3059i | −0.469538 | − | 0.813264i | ||||
\(403\) | −0.366025 | + | 1.36603i | −0.0182330 | + | 0.0680466i | ||||
\(404\) | −3.96348 | − | 14.7919i | −0.197190 | − | 0.735925i | ||||
\(405\) | 1.29289 | − | 1.29289i | 0.0642444 | − | 0.0642444i | ||||
\(406\) | 3.85108 | − | 9.16479i | 0.191126 | − | 0.454841i | ||||
\(407\) | 1.17157i | 0.0580727i | ||||||||
\(408\) | 0.857651 | + | 3.20080i | 0.0424600 | + | 0.158463i | ||||
\(409\) | −18.4837 | + | 10.6716i | −0.913960 | + | 0.527675i | −0.881703 | − | 0.471804i | \(-0.843603\pi\) |
−0.0322572 | + | 0.999480i | \(0.510270\pi\) | |||||||
\(410\) | −1.46311 | − | 0.392038i | −0.0722576 | − | 0.0193614i | ||||
\(411\) | 3.32024 | + | 12.3913i | 0.163775 | + | 0.611218i | ||||
\(412\) | − | 35.3137i | − | 1.73978i | ||||||
\(413\) | −3.31350 | − | 4.36417i | −0.163047 | − | 0.214747i | ||||
\(414\) | 11.6569i | 0.572903i | ||||||||
\(415\) | −11.3492 | + | 19.6575i | −0.557112 | + | 0.964947i | ||||
\(416\) | 3.20080 | + | 0.857651i | 0.156932 | + | 0.0420498i | ||||
\(417\) | 9.12132 | + | 15.7986i | 0.446673 | + | 0.773660i | ||||
\(418\) | −1.43488 | − | 0.828427i | −0.0701822 | − | 0.0405197i | ||||
\(419\) | 25.7990 | + | 25.7990i | 1.26036 | + | 1.26036i | 0.950917 | + | 0.309446i | \(0.100144\pi\) |
0.309446 | + | 0.950917i | \(0.399856\pi\) | |||||||
\(420\) | −1.31178 | + | 9.58579i | −0.0640085 | + | 0.467738i | ||||
\(421\) | 15.4853 | − | 15.4853i | 0.754706 | − | 0.754706i | −0.220647 | − | 0.975354i | \(-0.570817\pi\) |
0.975354 | + | 0.220647i | \(0.0708170\pi\) | |||||||
\(422\) | 4.35552 | + | 16.2550i | 0.212023 | + | 0.791282i | ||||
\(423\) | −5.40629 | + | 3.12132i | −0.262863 | + | 0.151764i | ||||
\(424\) | −6.33726 | + | 23.6510i | −0.307764 | + | 1.14859i | ||||
\(425\) | 1.68106 | + | 0.970563i | 0.0815436 | + | 0.0470792i | ||||
\(426\) | 15.8995 | + | 15.8995i | 0.770333 | + | 0.770333i | ||||
\(427\) | −13.2061 | − | 5.54927i | −0.639089 | − | 0.268548i | ||||
\(428\) | −22.7279 | + | 22.7279i | −1.09860 | + | 1.09860i | ||||
\(429\) | −0.234373 | + | 0.0628000i | −0.0113156 | + | 0.00303201i | ||||
\(430\) | 8.38478 | + | 14.5229i | 0.404350 | + | 0.700354i | ||||
\(431\) | −7.19239 | − | 12.4576i | −0.346445 | − | 0.600061i | 0.639170 | − | 0.769065i | \(-0.279278\pi\) |
−0.985615 | + | 0.169005i | \(0.945945\pi\) | |||||||
\(432\) | 1.03528 | + | 3.86370i | 0.0498097 | + | 0.185893i | ||||
\(433\) | −16.9706 | −0.815553 | −0.407777 | − | 0.913082i | \(-0.633696\pi\) | ||||
−0.407777 | + | 0.913082i | \(0.633696\pi\) | |||||||
\(434\) | 5.53553 | − | 7.13834i | 0.265714 | − | 0.342651i | ||||
\(435\) | 3.43503 | + | 3.43503i | 0.164697 | + | 0.164697i | ||||
\(436\) | 2.92621 | − | 0.784076i | 0.140140 | − | 0.0375504i | ||||
\(437\) | 22.5193 | + | 6.03403i | 1.07724 | + | 0.288647i | ||||
\(438\) | −1.46410 | + | 5.46410i | −0.0699575 | + | 0.261085i | ||||
\(439\) | −22.9985 | − | 13.2782i | −1.09766 | − | 0.633733i | −0.162053 | − | 0.986782i | \(-0.551811\pi\) |
−0.935605 | + | 0.353049i | \(0.885145\pi\) | |||||||
\(440\) | −2.14214 | −0.102122 | ||||||||
\(441\) | 1.88064 | − | 6.74264i | 0.0895542 | − | 0.321078i | ||||
\(442\) | 0.686292 | − | 0.686292i | 0.0326436 | − | 0.0326436i | ||||
\(443\) | 2.48098 | + | 9.25916i | 0.117875 | + | 0.439916i | 0.999486 | − | 0.0320612i | \(-0.0102072\pi\) |
−0.881611 | + | 0.471977i | \(0.843540\pi\) | |||||||
\(444\) | −2.82843 | − | 4.89898i | −0.134231 | − | 0.232495i | ||||
\(445\) | −7.36176 | + | 27.4745i | −0.348981 | + | 1.30241i | ||||
\(446\) | −25.1763 | − | 14.5355i | −1.19213 | − | 0.688277i | ||||
\(447\) | 14.8284 | 0.701361 | ||||||||
\(448\) | −16.7262 | − | 12.9706i | −0.790237 | − | 0.612801i | ||||
\(449\) | −10.2426 | −0.483380 | −0.241690 | − | 0.970354i | \(-0.577702\pi\) | ||||
−0.241690 | + | 0.970354i | \(0.577702\pi\) | |||||||
\(450\) | 2.02922 | + | 1.17157i | 0.0956585 | + | 0.0552285i | ||||
\(451\) | −0.0628000 | + | 0.234373i | −0.00295714 | + | 0.0110362i | ||||
\(452\) | 3.89949 | + | 6.75412i | 0.183417 | + | 0.317687i | ||||
\(453\) | 2.48098 | + | 9.25916i | 0.116567 | + | 0.435033i | ||||
\(454\) | 10.7574 | − | 10.7574i | 0.504868 | − | 0.504868i | ||||
\(455\) | 2.62357 | − | 1.07107i | 0.122995 | − | 0.0502124i | ||||
\(456\) | 8.00000 | 0.374634 | ||||||||
\(457\) | −18.7299 | − | 10.8137i | −0.876147 | − | 0.505844i | −0.00676121 | − | 0.999977i | \(-0.502152\pi\) |
−0.869386 | + | 0.494133i | \(0.835486\pi\) | |||||||
\(458\) | 8.92545 | − | 33.3102i | 0.417059 | − | 1.55648i | ||||
\(459\) | 1.13165 | + | 0.303225i | 0.0528210 | + | 0.0141533i | ||||
\(460\) | 29.1151 | − | 7.80136i | 1.35750 | − | 0.363740i | ||||
\(461\) | 8.00000 | + | 8.00000i | 0.372597 | + | 0.372597i | 0.868422 | − | 0.495825i | \(-0.165134\pi\) |
−0.495825 | + | 0.868422i | \(0.665134\pi\) | |||||||
\(462\) | 1.53553 | + | 0.210133i | 0.0714395 | + | 0.00977627i | ||||
\(463\) | −3.79899 | −0.176554 | −0.0882770 | − | 0.996096i | \(-0.528136\pi\) | ||||
−0.0882770 | + | 0.996096i | \(0.528136\pi\) | |||||||
\(464\) | −10.2653 | + | 2.75058i | −0.476554 | + | 0.127692i | ||||
\(465\) | 2.20711 | + | 3.82282i | 0.102352 | + | 0.177279i | ||||
\(466\) | −3.65685 | − | 6.33386i | −0.169401 | − | 0.293410i | ||||
\(467\) | 9.79655 | − | 2.62498i | 0.453330 | − | 0.121469i | −0.0249270 | − | 0.999689i | \(-0.507935\pi\) |
0.478257 | + | 0.878220i | \(0.341269\pi\) | |||||||
\(468\) | 0.828427 | − | 0.828427i | 0.0382941 | − | 0.0382941i | ||||
\(469\) | 28.0547 | − | 21.3006i | 1.29545 | − | 0.983571i | ||||
\(470\) | 11.4142 | + | 11.4142i | 0.526498 | + | 0.526498i | ||||
\(471\) | 18.1610 | + | 10.4853i | 0.836817 | + | 0.483136i | ||||
\(472\) | −1.51613 | + | 5.65826i | −0.0697854 | + | 0.260443i | ||||
\(473\) | 2.32640 | − | 1.34315i | 0.106968 | − | 0.0617579i | ||||
\(474\) | 4.11509 | + | 15.3577i | 0.189012 | + | 0.705404i | ||||
\(475\) | 3.31371 | − | 3.31371i | 0.152043 | − | 0.152043i | ||||
\(476\) | −5.73951 | + | 2.34315i | −0.263070 | + | 0.107398i | ||||
\(477\) | 6.12132 | + | 6.12132i | 0.280276 | + | 0.280276i | ||||
\(478\) | −13.5592 | − | 7.82843i | −0.620185 | − | 0.358064i | ||||
\(479\) | 7.58579 | + | 13.1390i | 0.346603 | + | 0.600335i | 0.985644 | − | 0.168839i | \(-0.0540016\pi\) |
−0.639040 | + | 0.769173i | \(0.720668\pi\) | |||||||
\(480\) | 8.95743 | − | 5.17157i | 0.408849 | − | 0.236049i | ||||
\(481\) | −0.828427 | + | 1.43488i | −0.0377730 | + | 0.0654248i | ||||
\(482\) | 32.7279i | 1.49072i | ||||||||
\(483\) | −21.6356 | + | 2.73615i | −0.984456 | + | 0.124499i | ||||
\(484\) | − | 21.6569i | − | 0.984402i | ||||||
\(485\) | −3.93431 | − | 14.6830i | −0.178648 | − | 0.666723i | ||||
\(486\) | 1.36603 | + | 0.366025i | 0.0619642 | + | 0.0166032i | ||||
\(487\) | −0.481813 | + | 0.278175i | −0.0218330 | + | 0.0126053i | −0.510877 | − | 0.859654i | \(-0.670679\pi\) |
0.489044 | + | 0.872259i | \(0.337346\pi\) | |||||||
\(488\) | 3.96348 | + | 14.7919i | 0.179418 | + | 0.669598i | ||||
\(489\) | − | 7.75736i | − | 0.350800i | ||||||
\(490\) | −18.0996 | − | 0.184709i | −0.817655 | − | 0.00834429i | ||||
\(491\) | 15.9497 | − | 15.9497i | 0.719802 | − | 0.719802i | −0.248762 | − | 0.968565i | \(-0.580024\pi\) |
0.968565 | + | 0.248762i | \(0.0800239\pi\) | |||||||
\(492\) | −0.303225 | − | 1.13165i | −0.0136705 | − | 0.0510188i | ||||
\(493\) | −0.805626 | + | 3.00664i | −0.0362836 | + | 0.135412i | ||||
\(494\) | −1.17157 | − | 2.02922i | −0.0527116 | − | 0.0912991i | ||||
\(495\) | −0.378680 | + | 0.655892i | −0.0170204 | + | 0.0294802i | ||||
\(496\) | −9.65685 | −0.433606 | ||||||||
\(497\) | −25.7782 | + | 33.2422i | −1.15631 | + | 1.49112i | ||||
\(498\) | −17.5563 | −0.786719 | ||||||||
\(499\) | −3.96078 | + | 1.06129i | −0.177309 | + | 0.0475098i | −0.346381 | − | 0.938094i | \(-0.612590\pi\) |
0.169072 | + | 0.985604i | \(0.445923\pi\) | |||||||
\(500\) | 6.30047 | − | 23.5137i | 0.281766 | − | 1.05156i | ||||
\(501\) | −5.79555 | − | 1.55291i | −0.258926 | − | 0.0693791i | ||||
\(502\) | 7.82449 | − | 2.09656i | 0.349224 | − | 0.0935743i | ||||
\(503\) | − | 40.4853i | − | 1.80515i | −0.430533 | − | 0.902575i | \(-0.641674\pi\) | ||
0.430533 | − | 0.902575i | \(-0.358326\pi\) | |||||||
\(504\) | −6.92820 | + | 2.82843i | −0.308607 | + | 0.125988i | ||||
\(505\) | 14.0000i | 0.622992i | ||||||||
\(506\) | −1.24969 | − | 4.66390i | −0.0555554 | − | 0.207336i | ||||
\(507\) | 12.2256 | + | 3.27583i | 0.542957 | + | 0.145485i | ||||
\(508\) | 11.2426 | + | 19.4728i | 0.498812 | + | 0.863967i | ||||
\(509\) | 2.42903 | − | 0.650857i | 0.107665 | − | 0.0288487i | −0.204584 | − | 0.978849i | \(-0.565584\pi\) |
0.312249 | + | 0.950000i | \(0.398918\pi\) | |||||||
\(510\) | − | 3.02944i | − | 0.134146i | ||||||
\(511\) | −10.4853 | − | 1.43488i | −0.463842 | − | 0.0634753i | ||||
\(512\) | 22.6274i | 1.00000i | ||||||||
\(513\) | 1.41421 | − | 2.44949i | 0.0624391 | − | 0.108148i | ||||
\(514\) | −24.7921 | + | 14.3137i | −1.09353 | + | 0.631351i | ||||
\(515\) | −8.35578 | + | 31.1842i | −0.368200 | + | 1.37414i | ||||
\(516\) | −6.48528 | + | 11.2328i | −0.285499 | + | 0.494498i | ||||
\(517\) | 1.82843 | − | 1.82843i | 0.0804141 | − | 0.0804141i | ||||
\(518\) | 8.42883 | − | 6.39960i | 0.370341 | − | 0.281182i | ||||
\(519\) | − | 16.9706i | − | 0.744925i | ||||||
\(520\) | −2.62357 | − | 1.51472i | −0.115051 | − | 0.0664248i | ||||
\(521\) | 0.297173 | − | 0.171573i | 0.0130194 | − | 0.00751674i | −0.493476 | − | 0.869759i | \(-0.664274\pi\) |
0.506496 | + | 0.862243i | \(0.330941\pi\) | |||||||
\(522\) | −0.972476 | + | 3.62933i | −0.0425641 | + | 0.158851i | ||||
\(523\) | −0.920451 | − | 3.43517i | −0.0402485 | − | 0.150209i | 0.942877 | − | 0.333140i | \(-0.108108\pi\) |
−0.983126 | + | 0.182931i | \(0.941442\pi\) | |||||||
\(524\) | 8.10051 | + | 8.10051i | 0.353872 | + | 0.353872i | ||||
\(525\) | −1.69818 | + | 4.04133i | −0.0741148 | + | 0.176378i | ||||
\(526\) | 2.14214 | 0.0934016 | ||||||||
\(527\) | −1.41421 | + | 2.44949i | −0.0616041 | + | 0.106701i | ||||
\(528\) | −0.828427 | − | 1.43488i | −0.0360527 | − | 0.0624450i | ||||
\(529\) | 22.4706 | + | 38.9202i | 0.976981 | + | 1.69218i | ||||
\(530\) | 11.1924 | − | 19.3858i | 0.486166 | − | 0.842065i | ||||
\(531\) | 1.46447 | + | 1.46447i | 0.0635524 | + | 0.0635524i | ||||
\(532\) | 1.87780 | + | 14.8484i | 0.0814129 | + | 0.643758i | ||||
\(533\) | −0.242641 | + | 0.242641i | −0.0105099 | + | 0.0105099i | ||||
\(534\) | −21.2504 | + | 5.69402i | −0.919593 | + | 0.246404i | ||||
\(535\) | 25.4480 | − | 14.6924i | 1.10021 | − | 0.635207i | ||||
\(536\) | −36.3737 | − | 9.74631i | −1.57111 | − | 0.420977i | ||||
\(537\) | −16.1318 | − | 9.31371i | −0.696139 | − | 0.401916i | ||||
\(538\) | 0.857864 | − | 0.857864i | 0.0369852 | − | 0.0369852i | ||||
\(539\) | −0.0295882 | + | 2.89934i | −0.00127446 | + | 0.124884i | ||||
\(540\) | − | 3.65685i | − | 0.157366i | ||||||
\(541\) | −15.1234 | + | 4.05229i | −0.650204 | + | 0.174222i | −0.568821 | − | 0.822461i | \(-0.692600\pi\) |
−0.0813829 | + | 0.996683i | \(0.525934\pi\) | |||||||
\(542\) | 31.5101 | − | 18.1924i | 1.35348 | − | 0.781430i | ||||
\(543\) | −11.1213 | − | 19.2627i | −0.477262 | − | 0.826641i | ||||
\(544\) | 5.73951 | + | 3.31371i | 0.246080 | + | 0.142074i | ||||
\(545\) | −2.76955 | −0.118635 | ||||||||
\(546\) | 1.73205 | + | 1.34315i | 0.0741249 | + | 0.0574813i | ||||
\(547\) | −8.82843 | − | 8.82843i | −0.377476 | − | 0.377476i | 0.492715 | − | 0.870191i | \(-0.336005\pi\) |
−0.870191 | + | 0.492715i | \(0.836005\pi\) | |||||||
\(548\) | 22.2195 | + | 12.8284i | 0.949169 | + | 0.548003i | ||||
\(549\) | 5.22973 | + | 1.40130i | 0.223199 | + | 0.0598061i | ||||
\(550\) | −0.937492 | − | 0.251200i | −0.0399748 | − | 0.0107112i | ||||
\(551\) | 6.50794 | + | 3.75736i | 0.277247 | + | 0.160069i | ||||
\(552\) | 16.4853 | + | 16.4853i | 0.701660 | + | 0.701660i | ||||
\(553\) | −27.5387 | + | 11.2426i | −1.17107 | + | 0.478086i | ||||
\(554\) | −10.3431 | − | 10.3431i | −0.439438 | − | 0.439438i | ||||
\(555\) | 1.33850 | + | 4.99536i | 0.0568162 | + | 0.212041i | ||||
\(556\) | 35.2421 | + | 9.44309i | 1.49460 | + | 0.400476i | ||||
\(557\) | 6.20404 | − | 23.1538i | 0.262874 | − | 0.981057i | −0.700666 | − | 0.713490i | \(-0.747113\pi\) |
0.963539 | − | 0.267568i | \(-0.0862198\pi\) | |||||||
\(558\) | −1.70711 | + | 2.95680i | −0.0722676 | + | 0.125171i | ||||
\(559\) | 3.79899 | 0.160680 | ||||||||
\(560\) | 11.7012 | + | 15.4115i | 0.494466 | + | 0.651254i | ||||
\(561\) | −0.485281 | −0.0204886 | ||||||||
\(562\) | −3.41421 | + | 5.91359i | −0.144020 | + | 0.249450i | ||||
\(563\) | −1.53452 | + | 5.72691i | −0.0646723 | + | 0.241360i | −0.990694 | − | 0.136111i | \(-0.956540\pi\) |
0.926021 | + | 0.377471i | \(0.123206\pi\) | |||||||
\(564\) | −3.23143 | + | 12.0599i | −0.136068 | + | 0.507812i | ||||
\(565\) | −1.84536 | − | 6.88700i | −0.0776351 | − | 0.289738i | ||||
\(566\) | 23.4558 | + | 23.4558i | 0.985923 | + | 0.985923i | ||||
\(567\) | −0.358719 | + | 2.62132i | −0.0150648 | + | 0.110085i | ||||
\(568\) | 44.9706 | 1.88692 | ||||||||
\(569\) | 1.01461 | + | 0.585786i | 0.0425347 | + | 0.0245574i | 0.521117 | − | 0.853486i | \(-0.325516\pi\) |
−0.478582 | + | 0.878043i | \(0.658849\pi\) | |||||||
\(570\) | −7.06450 | − | 1.89293i | −0.295899 | − | 0.0792860i | ||||
\(571\) | −40.6091 | − | 10.8812i | −1.69944 | − | 0.455363i | −0.726640 | − | 0.687019i | \(-0.758919\pi\) |
−0.972798 | + | 0.231656i | \(0.925586\pi\) | |||||||
\(572\) | −0.242641 | + | 0.420266i | −0.0101453 | + | 0.0175722i | ||||
\(573\) | −13.6569 | − | 13.6569i | −0.570523 | − | 0.570523i | ||||
\(574\) | 2.02922 | − | 0.828427i | 0.0846982 | − | 0.0345779i | ||||
\(575\) | 13.6569 | 0.569530 | ||||||||
\(576\) | 6.92820 | + | 4.00000i | 0.288675 | + | 0.166667i | ||||
\(577\) | −18.7426 | − | 32.4632i | −0.780266 | − | 1.35146i | −0.931786 | − | 0.363007i | \(-0.881750\pi\) |
0.151520 | − | 0.988454i | \(-0.451583\pi\) | |||||||
\(578\) | −19.1396 | + | 11.0503i | −0.796102 | + | 0.459630i | ||||
\(579\) | −6.76148 | + | 1.81173i | −0.280998 | + | 0.0752931i | ||||
\(580\) | 9.71573 | 0.403424 | ||||||||
\(581\) | −4.12091 | − | 32.5854i | −0.170964 | − | 1.35187i | ||||
\(582\) | 8.31371 | − | 8.31371i | 0.344614 | − | 0.344614i | ||||
\(583\) | −3.10538 | − | 1.79289i | −0.128612 | − | 0.0742541i | ||||
\(584\) | 5.65685 | + | 9.79796i | 0.234082 | + | 0.405442i | ||||
\(585\) | −0.927572 | + | 0.535534i | −0.0383504 | + | 0.0221416i | ||||
\(586\) | 21.1533 | − | 5.66801i | 0.873834 | − | 0.234143i | ||||
\(587\) | 7.12132 | − | 7.12132i | 0.293928 | − | 0.293928i | −0.544702 | − | 0.838630i | \(-0.683357\pi\) |
0.838630 | + | 0.544702i | \(0.183357\pi\) | |||||||
\(588\) | −6.87591 | − | 12.1952i | −0.283558 | − | 0.502920i | ||||
\(589\) | 4.82843 | + | 4.82843i | 0.198952 | + | 0.198952i | ||||
\(590\) | 2.67767 | − | 4.63786i | 0.110238 | − | 0.190938i | ||||
\(591\) | 2.24264 | + | 3.88437i | 0.0922499 | + | 0.159782i | ||||
\(592\) | −10.9282 | − | 2.92820i | −0.449146 | − | 0.120348i | ||||
\(593\) | −9.70711 | + | 16.8132i | −0.398623 | + | 0.690435i | −0.993556 | − | 0.113340i | \(-0.963845\pi\) |
0.594933 | + | 0.803775i | \(0.297178\pi\) | |||||||
\(594\) | −0.585786 | −0.0240351 | ||||||||
\(595\) | 5.62277 | − | 0.711085i | 0.230511 | − | 0.0291516i | ||||
\(596\) | 20.9706 | − | 20.9706i | 0.858988 | − | 0.858988i | ||||
\(597\) | −4.87316 | − | 18.1869i | −0.199445 | − | 0.744339i | ||||
\(598\) | 1.76733 | − | 6.59575i | 0.0722714 | − | 0.269720i | ||||
\(599\) | 35.7787 | − | 20.6569i | 1.46188 | − | 0.844016i | 0.462781 | − | 0.886473i | \(-0.346852\pi\) |
0.999098 | + | 0.0424567i | \(0.0135184\pi\) | |||||||
\(600\) | 4.52661 | − | 1.21290i | 0.184798 | − | 0.0495165i | ||||
\(601\) | − | 14.6569i | − | 0.597866i | −0.954274 | − | 0.298933i | \(-0.903369\pi\) | ||
0.954274 | − | 0.298933i | \(-0.0966306\pi\) | |||||||
\(602\) | −22.3709 | − | 9.40035i | −0.911770 | − | 0.383130i | ||||
\(603\) | −9.41421 | + | 9.41421i | −0.383376 | + | 0.383376i | ||||
\(604\) | 16.6031 | + | 9.58579i | 0.675569 | + | 0.390040i | ||||
\(605\) | −5.12436 | + | 19.1244i | −0.208335 | + | 0.777516i | ||||
\(606\) | −9.37769 | + | 5.41421i | −0.380943 | + | 0.219937i | ||||
\(607\) | −15.0355 | + | 26.0423i | −0.610273 | + | 1.05702i | 0.380921 | + | 0.924608i | \(0.375607\pi\) |
−0.991194 | + | 0.132417i | \(0.957726\pi\) | |||||||
\(608\) | 11.3137 | − | 11.3137i | 0.458831 | − | 0.458831i | ||||
\(609\) | −6.96447 | − | 0.953065i | −0.282214 | − | 0.0386202i | ||||
\(610\) | − | 14.0000i | − | 0.566843i | ||||||
\(611\) | 3.53225 | − | 0.946464i | 0.142900 | − | 0.0382898i | ||||
\(612\) | 2.02922 | − | 1.17157i | 0.0820265 | − | 0.0473580i | ||||
\(613\) | −19.8843 | − | 5.32799i | −0.803121 | − | 0.215196i | −0.166167 | − | 0.986098i | \(-0.553139\pi\) |
−0.636954 | + | 0.770902i | \(0.719806\pi\) | |||||||
\(614\) | −3.26822 | − | 12.1971i | −0.131894 | − | 0.492237i | ||||
\(615\) | 1.07107i | 0.0431896i | ||||||||
\(616\) | 2.46875 | − | 1.87440i | 0.0994686 | − | 0.0755217i | ||||
\(617\) | 23.7574i | 0.956435i | 0.878241 | + | 0.478218i | \(0.158717\pi\) | ||||
−0.878241 | + | 0.478218i | \(0.841283\pi\) | |||||||
\(618\) | −24.1197 | + | 6.46286i | −0.970237 | + | 0.259974i | ||||
\(619\) | 27.8863 | + | 7.47212i | 1.12085 | + | 0.300330i | 0.771226 | − | 0.636562i | \(-0.219644\pi\) |
0.349620 | + | 0.936891i | \(0.386311\pi\) | |||||||
\(620\) | 8.52761 | + | 2.28497i | 0.342477 | + | 0.0917664i | ||||
\(621\) | 7.96178 | − | 2.13335i | 0.319495 | − | 0.0856085i | ||||
\(622\) | −16.3431 | −0.655300 | ||||||||
\(623\) | −15.5563 | − | 38.1051i | −0.623252 | − | 1.52665i | ||||
\(624\) | − | 2.34315i | − | 0.0938009i | ||||||
\(625\) | −6.98528 | + | 12.0989i | −0.279411 | + | 0.483954i | ||||
\(626\) | −6.94975 | − | 12.0373i | −0.277768 | − | 0.481108i | ||||
\(627\) | −0.303225 | + | 1.13165i | −0.0121097 | + | 0.0451938i | ||||
\(628\) | 40.5120 | − | 10.8552i | 1.61661 | − | 0.433168i | ||||
\(629\) | −2.34315 | + | 2.34315i | −0.0934273 | + | 0.0934273i | ||||
\(630\) | 6.78729 | − | 0.858355i | 0.270412 | − | 0.0341977i | ||||
\(631\) | − | 17.2426i | − | 0.686419i | −0.939259 | − | 0.343209i | \(-0.888486\pi\) | ||
0.939259 | − | 0.343209i | \(-0.111514\pi\) | |||||||
\(632\) | 27.5387 | + | 15.8995i | 1.09543 | + | 0.632448i | ||||
\(633\) | 10.3053 | − | 5.94975i | 0.409598 | − | 0.236481i | ||||
\(634\) | −15.4950 | − | 4.15188i | −0.615386 | − | 0.164892i | ||||
\(635\) | −5.32037 | − | 19.8559i | −0.211133 | − | 0.787958i | ||||
\(636\) | 17.3137 | 0.686533 | ||||||||
\(637\) | −2.08638 | + | 3.53003i | −0.0826655 | + | 0.139865i | ||||
\(638\) | − | 1.55635i | − | 0.0616165i | ||||||
\(639\) | 7.94975 | − | 13.7694i | 0.314487 | − | 0.544708i | ||||
\(640\) | 5.35401 | − | 19.9814i | 0.211636 | − | 0.789835i | ||||
\(641\) | −12.2635 | − | 21.2409i | −0.484377 | − | 0.838966i | 0.515462 | − | 0.856913i | \(-0.327620\pi\) |
−0.999839 | + | 0.0179465i | \(0.994287\pi\) | |||||||
\(642\) | 19.6830 | + | 11.3640i | 0.776824 | + | 0.448500i | ||||
\(643\) | 31.0711 | + | 31.0711i | 1.22532 | + | 1.22532i | 0.965714 | + | 0.259610i | \(0.0835939\pi\) |
0.259610 | + | 0.965714i | \(0.416406\pi\) | |||||||
\(644\) | −26.7279 | + | 34.4669i | −1.05323 | + | 1.35819i | ||||
\(645\) | 8.38478 | − | 8.38478i | 0.330150 | − | 0.330150i | ||||
\(646\) | −1.21290 | − | 4.52661i | −0.0477210 | − | 0.178097i | ||||
\(647\) | 7.43551 | − | 4.29289i | 0.292320 | − | 0.168771i | −0.346668 | − | 0.937988i | \(-0.612687\pi\) |
0.638988 | + | 0.769217i | \(0.279353\pi\) | |||||||
\(648\) | 2.44949 | − | 1.41421i | 0.0962250 | − | 0.0555556i | ||||
\(649\) | −0.742932 | − | 0.428932i | −0.0291626 | − | 0.0168371i | ||||
\(650\) | −0.970563 | − | 0.970563i | −0.0380686 | − | 0.0380686i | ||||
\(651\) | −5.88865 | − | 2.47443i | −0.230794 | − | 0.0969807i | ||||
\(652\) | −10.9706 | − | 10.9706i | −0.429640 | − | 0.429640i | ||||
\(653\) | −0.497180 | + | 0.133219i | −0.0194562 | + | 0.00521326i | −0.268534 | − | 0.963270i | \(-0.586539\pi\) |
0.249078 | + | 0.968483i | \(0.419872\pi\) | |||||||
\(654\) | −1.07107 | − | 1.85514i | −0.0418821 | − | 0.0725419i | ||||
\(655\) | −5.23654 | − | 9.06996i | −0.204609 | − | 0.354393i | ||||
\(656\) | −2.02922 | − | 1.17157i | −0.0792279 | − | 0.0457422i | ||||
\(657\) | 4.00000 | 0.156055 | ||||||||
\(658\) | −23.1421 | − | 3.16693i | −0.902174 | − | 0.123460i | ||||
\(659\) | −18.5858 | − | 18.5858i | −0.723999 | − | 0.723999i | 0.245418 | − | 0.969417i | \(-0.421075\pi\) |
−0.969417 | + | 0.245418i | \(0.921075\pi\) | |||||||
\(660\) | 0.392038 | + | 1.46311i | 0.0152601 | + | 0.0569513i | ||||
\(661\) | 11.2597 | + | 3.01702i | 0.437950 | + | 0.117348i | 0.471056 | − | 0.882104i | \(-0.343873\pi\) |
−0.0331057 | + | 0.999452i | \(0.510540\pi\) | |||||||
\(662\) | 2.92820 | − | 10.9282i | 0.113808 | − | 0.424737i | ||||
\(663\) | −0.594346 | − | 0.343146i | −0.0230825 | − | 0.0133267i | ||||
\(664\) | −24.8284 | + | 24.8284i | −0.963530 | + | 0.963530i | ||||
\(665\) | 1.85514 | − | 13.5563i | 0.0719394 | − | 0.525693i | ||||
\(666\) | −2.82843 | + | 2.82843i | −0.109599 | + | 0.109599i | ||||
\(667\) | 5.66801 | + | 21.1533i | 0.219466 | + | 0.819059i | ||||
\(668\) | −10.3923 | + | 6.00000i | −0.402090 | + | 0.232147i | ||||
\(669\) | −5.32037 | + | 19.8559i | −0.205698 | + | 0.767674i | ||||
\(670\) | 29.8141 | + | 17.2132i | 1.15182 | + | 0.665004i | ||||
\(671\) | −2.24264 | −0.0865762 | ||||||||
\(672\) | −5.79796 | + | 13.7980i | −0.223661 | + | 0.532268i | ||||
\(673\) | −30.9411 | −1.19269 | −0.596346 | − | 0.802727i | \(-0.703382\pi\) | ||||
−0.596346 | + | 0.802727i | \(0.703382\pi\) | |||||||
\(674\) | 22.8499 | + | 13.1924i | 0.880145 | + | 0.508152i | ||||
\(675\) | 0.428825 | − | 1.60040i | 0.0165055 | − | 0.0615994i | ||||
\(676\) | 21.9223 | − | 12.6569i | 0.843166 | − | 0.486802i | ||||
\(677\) | 11.0404 | + | 41.2034i | 0.424317 | + | 1.58357i | 0.765409 | + | 0.643544i | \(0.222537\pi\) |
−0.341092 | + | 0.940030i | \(0.610797\pi\) | |||||||
\(678\) | 3.89949 | − | 3.89949i | 0.149759 | − | 0.149759i | ||||
\(679\) | 17.3821 | + | 13.4792i | 0.667062 | + | 0.517284i | ||||
\(680\) | −4.28427 | − | 4.28427i | −0.164294 | − | 0.164294i | ||||
\(681\) | −9.31615 | − | 5.37868i | −0.356996 | − | 0.206111i | ||||
\(682\) | 0.366025 | − | 1.36603i | 0.0140158 | − | 0.0523078i | ||||
\(683\) | −15.8549 | − | 4.24831i | −0.606671 | − | 0.162557i | −0.0576100 | − | 0.998339i | \(-0.518348\pi\) |
−0.549061 | + | 0.835782i | \(0.685015\pi\) | |||||||
\(684\) | −1.46410 | − | 5.46410i | −0.0559813 | − | 0.208925i | ||||
\(685\) | −16.5858 | − | 16.5858i | −0.633710 | − | 0.633710i | ||||
\(686\) | 21.0208 | − | 15.6245i | 0.802578 | − | 0.596547i | ||||
\(687\) | −24.3848 | −0.930337 | ||||||||
\(688\) | 6.71406 | + | 25.0572i | 0.255971 | + | 0.955297i | ||||
\(689\) | −2.53553 | − | 4.39167i | −0.0965961 | − | 0.167309i | ||||
\(690\) | −10.6569 | − | 18.4582i | −0.405700 | − | 0.702692i | ||||
\(691\) | 39.3402 | − | 10.5412i | 1.49657 | − | 0.401005i | 0.584620 | − | 0.811307i | \(-0.301243\pi\) |
0.911950 | + | 0.410302i | \(0.134577\pi\) | |||||||
\(692\) | −24.0000 | − | 24.0000i | −0.912343 | − | 0.912343i | ||||
\(693\) | −0.137499 | − | 1.08725i | −0.00522314 | − | 0.0413011i | ||||
\(694\) | 24.4853 | + | 24.4853i | 0.929449 | + | 0.929449i | ||||
\(695\) | −28.8866 | − | 16.6777i | −1.09573 | − | 0.632620i | ||||
\(696\) | 3.75736 | + | 6.50794i | 0.142422 | + | 0.246683i | ||||
\(697\) | −0.594346 | + | 0.343146i | −0.0225125 | + | 0.0129976i | ||||
\(698\) | 1.76733 | + | 6.59575i | 0.0668943 | + | 0.249653i | ||||
\(699\) | −3.65685 | + | 3.65685i | −0.138315 | + | 0.138315i | ||||
\(700\) | 3.31371 | + | 8.11689i | 0.125246 | + | 0.306790i | ||||
\(701\) | −15.8787 | − | 15.8787i | −0.599729 | − | 0.599729i | 0.340511 | − | 0.940241i | \(-0.389400\pi\) |
−0.940241 | + | 0.340511i | \(0.889400\pi\) | |||||||
\(702\) | −0.717439 | − | 0.414214i | −0.0270780 | − | 0.0156335i | ||||
\(703\) | 4.00000 | + | 6.92820i | 0.150863 | + | 0.261302i | ||||
\(704\) | −3.20080 | − | 0.857651i | −0.120635 | − | 0.0323239i | ||||
\(705\) | 5.70711 | − | 9.88500i | 0.214942 | − | 0.372291i | ||||
\(706\) | 27.3137i | 1.02796i | ||||||||
\(707\) | −12.2502 | − | 16.1346i | −0.460716 | − | 0.606803i | ||||
\(708\) | 4.14214 | 0.155671 | ||||||||
\(709\) | 1.52690 | + | 5.69847i | 0.0573440 | + | 0.214011i | 0.988652 | − | 0.150221i | \(-0.0479984\pi\) |
−0.931309 | + | 0.364231i | \(0.881332\pi\) | |||||||
\(710\) | −39.7118 | − | 10.6407i | −1.49036 | − | 0.399340i | ||||
\(711\) | 9.73641 | − | 5.62132i | 0.365144 | − | 0.210816i | ||||
\(712\) | −22.0000 | + | 38.1051i | −0.824485 | + | 1.42805i | ||||
\(713\) | 19.8995i | 0.745242i | ||||||||
\(714\) | 2.65080 | + | 3.49133i | 0.0992038 | + | 0.130660i | ||||
\(715\) | 0.313708 | − | 0.313708i | 0.0117320 | − | 0.0117320i | ||||
\(716\) | −35.9854 | + | 9.64226i | −1.34484 | + | 0.360348i | ||||
\(717\) | −2.86540 | + | 10.6938i | −0.107010 | + | 0.399368i | ||||
\(718\) | −2.58579 | − | 4.47871i | −0.0965007 | − | 0.167144i | ||||
\(719\) | 10.4350 | − | 18.0740i | 0.389161 | − | 0.674046i | −0.603176 | − | 0.797608i | \(-0.706098\pi\) |
0.992337 | + | 0.123562i | \(0.0394317\pi\) | |||||||
\(720\) | −5.17157 | − | 5.17157i | −0.192733 | − | 0.192733i | ||||
\(721\) | −17.6569 | − | 43.2503i | −0.657576 | − | 1.61072i | ||||
\(722\) | 15.5563 | 0.578947 | ||||||||
\(723\) | 22.3536 | − | 5.98963i | 0.831339 | − | 0.222757i | ||||
\(724\) | −42.9695 | − | 11.5136i | −1.59695 | − | 0.427901i | ||||
\(725\) | 4.25203 | + | 1.13933i | 0.157916 | + | 0.0423135i | ||||
\(726\) | −14.7919 | + | 3.96348i | −0.548979 | + | 0.147099i | ||||
\(727\) | − | 16.5563i | − | 0.614041i | −0.951703 | − | 0.307021i | \(-0.900668\pi\) | ||
0.951703 | − | 0.307021i | \(-0.0993320\pi\) | |||||||
\(728\) | 4.34898 | − | 0.549995i | 0.161184 | − | 0.0203842i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −2.67700 | − | 9.99071i | −0.0990803 | − | 0.369773i | ||||
\(731\) | 7.33908 | + | 1.96650i | 0.271446 | + | 0.0727337i | ||||
\(732\) | 9.37769 | − | 5.41421i | 0.346610 | − | 0.200115i | ||||
\(733\) | −40.5689 | + | 10.8704i | −1.49845 | + | 0.401507i | −0.912579 | − | 0.408900i | \(-0.865912\pi\) |
−0.585867 | + | 0.810407i | \(0.699246\pi\) | |||||||
\(734\) | 16.1005i | 0.594280i | ||||||||
\(735\) | 3.18629 | + | 12.3960i | 0.117528 | + | 0.457235i | ||||
\(736\) | 46.6274 | 1.71871 | ||||||||
\(737\) | 2.75736 | − | 4.77589i | 0.101569 | − | 0.175922i | ||||
\(738\) | −0.717439 | + | 0.414214i | −0.0264093 | + | 0.0152474i | ||||
\(739\) | −10.0235 | + | 37.4083i | −0.368721 | + | 1.37609i | 0.493584 | + | 0.869698i | \(0.335686\pi\) |
−0.862305 | + | 0.506389i | \(0.830980\pi\) | |||||||
\(740\) | 8.95743 | + | 5.17157i | 0.329282 | + | 0.190111i | ||||
\(741\) | −1.17157 | + | 1.17157i | −0.0430388 | + | 0.0430388i | ||||
\(742\) | 4.06396 | + | 32.1350i | 0.149193 | + | 1.17971i | ||||
\(743\) | 17.3137i | 0.635178i | 0.948228 | + | 0.317589i | \(0.102873\pi\) | ||||
−0.948228 | + | 0.317589i | \(0.897127\pi\) | |||||||
\(744\) | 1.76733 | + | 6.59575i | 0.0647934 | + | 0.241812i | ||||
\(745\) | −23.4803 | + | 13.5563i | −0.860251 | + | 0.496666i | ||||
\(746\) | 7.28372 | − | 27.1832i | 0.266676 | − | 0.995248i | ||||
\(747\) | 3.21303 | + | 11.9912i | 0.117559 | + | 0.438735i | ||||
\(748\) | −0.686292 | + | 0.686292i | −0.0250933 | + | 0.0250933i | ||||
\(749\) | −16.4719 | + | 39.1999i | −0.601872 | + | 1.43233i | ||||
\(750\) | −17.2132 | −0.628537 | ||||||||
\(751\) | −7.96447 | + | 13.7949i | −0.290627 | + | 0.503382i | −0.973958 | − | 0.226727i | \(-0.927197\pi\) |
0.683331 | + | 0.730109i | \(0.260531\pi\) | |||||||
\(752\) | 12.4853 | + | 21.6251i | 0.455291 | + | 0.788588i | ||||
\(753\) | −2.86396 | − | 4.96053i | −0.104369 | − | 0.180772i | ||||
\(754\) | 1.10051 | − | 1.90613i | 0.0400780 | − | 0.0694172i | ||||
\(755\) | −12.3934 | − | 12.3934i | −0.451042 | − | 0.451042i | ||||
\(756\) | 3.19980 | + | 4.21441i | 0.116376 | + | 0.153277i | ||||
\(757\) | −10.3137 | + | 10.3137i | −0.374858 | + | 0.374858i | −0.869243 | − | 0.494385i | \(-0.835393\pi\) |
0.494385 | + | 0.869243i | \(0.335393\pi\) | |||||||
\(758\) | 8.99635 | − | 2.41057i | 0.326762 | − | 0.0875557i | ||||
\(759\) | −2.95680 | + | 1.70711i | −0.107325 | + | 0.0619641i | ||||
\(760\) | −12.6677 | + | 7.31371i | −0.459506 | + | 0.265296i | ||||
\(761\) | −20.5235 | − | 11.8492i | −0.743976 | − | 0.429535i | 0.0795372 | − | 0.996832i | \(-0.474656\pi\) |
−0.823513 | + | 0.567297i | \(0.807989\pi\) | |||||||
\(762\) | 11.2426 | − | 11.2426i | 0.407278 | − | 0.407278i | ||||
\(763\) | 3.19182 | − | 2.42340i | 0.115552 | − | 0.0877329i | ||||
\(764\) | −38.6274 | −1.39749 | ||||||||
\(765\) | −2.06914 | + | 0.554425i | −0.0748101 | + | 0.0200453i | ||||
\(766\) | −35.6046 | + | 20.5563i | −1.28645 | + | 0.742731i | ||||
\(767\) | −0.606602 | − | 1.05066i | −0.0219031 | − | 0.0379373i | ||||
\(768\) | 15.4548 | − | 4.14110i | 0.557678 | − | 0.149429i | ||||
\(769\) | 19.8284 | 0.715031 | 0.357516 | − | 0.933907i | \(-0.383624\pi\) | ||||
0.357516 | + | 0.933907i | \(0.383624\pi\) | |||||||
\(770\) | −2.62357 | + | 1.07107i | −0.0945469 | + | 0.0385986i | ||||
\(771\) | 14.3137 | + | 14.3137i | 0.515496 | + | 0.515496i | ||||
\(772\) | −7.00000 | + | 12.1244i | −0.251936 | + | 0.436365i | ||||
\(773\) | −2.06914 | − | 0.554425i | −0.0744219 | − | 0.0199413i | 0.221416 | − | 0.975179i | \(-0.428932\pi\) |
−0.295838 | + | 0.955238i | \(0.595599\pi\) | |||||||
\(774\) | 8.85906 | + | 2.37378i | 0.318432 | + | 0.0853237i | ||||
\(775\) | 3.46410 | + | 2.00000i | 0.124434 | + | 0.0718421i | ||||
\(776\) | − | 23.5147i | − | 0.844129i | ||||||
\(777\) | −5.91359 | − | 4.58579i | −0.212149 | − | 0.164514i | ||||
\(778\) | 3.79899 | + | 3.79899i | 0.136200 | + | 0.136200i | ||||
\(779\) | 0.428825 | + | 1.60040i | 0.0153643 | + | 0.0573402i | ||||
\(780\) | −0.554425 | + | 2.06914i | −0.0198516 | + | 0.0740872i | ||||
\(781\) | −1.70453 | + | 6.36138i | −0.0609928 | + | 0.227628i | ||||
\(782\) | 6.82843 | − | 11.8272i | 0.244184 | − | 0.422939i | ||||
\(783\) | 2.65685 | 0.0949482 | ||||||||
\(784\) | −26.9706 | − | 7.52255i | −0.963234 | − | 0.268662i | ||||
\(785\) | −38.3431 | −1.36853 | ||||||||
\(786\) | 4.05025 | − | 7.01524i | 0.144468 | − | 0.250225i | ||||
\(787\) | 12.2933 | − | 45.8790i | 0.438207 | − | 1.63541i | −0.295066 | − | 0.955477i | \(-0.595342\pi\) |
0.733273 | − | 0.679934i | \(-0.237992\pi\) | |||||||
\(788\) | 8.66490 | + | 2.32175i | 0.308674 | + | 0.0827090i | ||||
\(789\) | −0.392038 | − | 1.46311i | −0.0139569 | − | 0.0520879i | ||||
\(790\) | −20.5563 | − | 20.5563i | −0.731362 | − | 0.731362i | ||||
\(791\) | 8.15295 | + | 6.32233i | 0.289885 | + | 0.224796i | ||||
\(792\) | −0.828427 | + | 0.828427i | −0.0294369 | + | 0.0294369i | ||||
\(793\) | −2.74666 | − | 1.58579i | −0.0975369 | − | 0.0563129i | ||||
\(794\) | −45.0386 | − | 12.0681i | −1.59836 | − | 0.428280i | ||||
\(795\) | −15.2891 | − | 4.09670i | −0.542248 | − | 0.145295i | ||||
\(796\) | −32.6118 | − | 18.8284i | −1.15589 | − | 0.667356i | ||||
\(797\) | 30.2635 | + | 30.2635i | 1.07199 | + | 1.07199i | 0.997200 | + | 0.0747871i | \(0.0238277\pi\) |
0.0747871 | + | 0.997200i | \(0.476172\pi\) | |||||||
\(798\) | 9.79796 | − | 4.00000i | 0.346844 | − | 0.141598i | ||||
\(799\) | 7.31371 | 0.258740 | ||||||||
\(800\) | 4.68629 | − | 8.11689i | 0.165685 | − | 0.286976i | ||||
\(801\) | 7.77817 | + | 13.4722i | 0.274828 | + | 0.476017i | ||||
\(802\) | −29.3939 | + | 16.9706i | −1.03793 | + | 0.599251i | ||||
\(803\) | −1.60040 | + | 0.428825i | −0.0564768 | + | 0.0151329i | ||||
\(804\) | 26.6274i | 0.939077i | ||||||||
\(805\) | 31.7578 | − | 24.1122i | 1.11932 | − | 0.849844i | ||||
\(806\) | 1.41421 | − | 1.41421i | 0.0498135 | − | 0.0498135i | ||||
\(807\) | −0.742932 | − | 0.428932i | −0.0261525 | − | 0.0150991i | ||||
\(808\) | −5.60521 | + | 20.9189i | −0.197190 | + | 0.735925i | ||||
\(809\) | −5.49333 | + | 3.17157i | −0.193135 | + | 0.111507i | −0.593449 | − | 0.804871i | \(-0.702234\pi\) |
0.400314 | + | 0.916378i | \(0.368901\pi\) | |||||||
\(810\) | −2.49768 | + | 0.669251i | −0.0877595 | + | 0.0235151i | ||||
\(811\) | −15.5563 | + | 15.5563i | −0.546257 | + | 0.546257i | −0.925356 | − | 0.379099i | \(-0.876234\pi\) |
0.379099 | + | 0.925356i | \(0.376234\pi\) | |||||||
\(812\) | −11.1971 | + | 8.50140i | −0.392940 | + | 0.298341i | ||||
\(813\) | −18.1924 | − | 18.1924i | −0.638035 | − | 0.638035i | ||||
\(814\) | 0.828427 | − | 1.43488i | 0.0290364 | − | 0.0502924i | ||||
\(815\) | 7.09188 | + | 12.2835i | 0.248418 | + | 0.430272i | ||||
\(816\) | 1.21290 | − | 4.52661i | 0.0424600 | − | 0.158463i | ||||
\(817\) | 9.17157 | − | 15.8856i | 0.320873 | − | 0.555768i | ||||
\(818\) | 30.1838 | 1.05535 | ||||||||
\(819\) | 0.600398 | − | 1.42883i | 0.0209796 | − | 0.0499272i | ||||
\(820\) | 1.51472 | + | 1.51472i | 0.0528963 | + | 0.0528963i | ||||
\(821\) | −1.29410 | − | 4.82963i | −0.0451642 | − | 0.168555i | 0.939660 | − | 0.342110i | \(-0.111141\pi\) |
−0.984824 | + | 0.173554i | \(0.944475\pi\) | |||||||
\(822\) | 4.69553 | − | 17.5240i | 0.163775 | − | 0.611218i | ||||
\(823\) | 25.6836 | − | 14.8284i | 0.895274 | − | 0.516886i | 0.0196098 | − | 0.999808i | \(-0.493758\pi\) |
0.875664 | + | 0.482921i | \(0.160424\pi\) | |||||||
\(824\) | −24.9706 | + | 43.2503i | −0.869891 | + | 1.50670i | ||||
\(825\) | 0.686292i | 0.0238936i | ||||||||
\(826\) | 0.972263 | + | 7.68799i | 0.0338293 | + | 0.267499i | ||||
\(827\) | −20.0503 | + | 20.0503i | −0.697216 | + | 0.697216i | −0.963809 | − | 0.266593i | \(-0.914102\pi\) |
0.266593 | + | 0.963809i | \(0.414102\pi\) | |||||||
\(828\) | 8.24264 | − | 14.2767i | 0.286452 | − | 0.496149i | ||||
\(829\) | 3.58668 | − | 13.3857i | 0.124571 | − | 0.464904i | −0.875253 | − | 0.483664i | \(-0.839305\pi\) |
0.999824 | + | 0.0187610i | \(0.00597216\pi\) | |||||||
\(830\) | 27.7999 | − | 16.0503i | 0.964947 | − | 0.557112i | ||||
\(831\) | −5.17157 | + | 8.95743i | −0.179400 | + | 0.310730i | ||||
\(832\) | −3.31371 | − | 3.31371i | −0.114882 | − | 0.114882i | ||||
\(833\) | −5.85786 | + | 5.73951i | −0.202963 | + | 0.198862i | ||||
\(834\) | − | 25.7990i | − | 0.893346i | ||||||
\(835\) | 10.5967 | − | 2.83939i | 0.366716 | − | 0.0982612i | ||||
\(836\) | 1.17157 | + | 2.02922i | 0.0405197 | + | 0.0701822i | ||||
\(837\) | 2.33195 | + | 0.624844i | 0.0806040 | + | 0.0215978i | ||||
\(838\) | −13.3545 | − | 49.8398i | −0.461325 | − | 1.72169i | ||||
\(839\) | − | 19.7990i | − | 0.683537i | −0.939784 | − | 0.341769i | \(-0.888974\pi\) | ||
0.939784 | − | 0.341769i | \(-0.111026\pi\) | |||||||
\(840\) | 8.38478 | − | 10.8126i | 0.289302 | − | 0.373069i | ||||
\(841\) | − | 21.9411i | − | 0.756591i | ||||||
\(842\) | −29.9153 | + | 8.01577i | −1.03095 | + | 0.276242i | ||||
\(843\) | 4.66390 | + | 1.24969i | 0.160633 | + | 0.0430416i | ||||
\(844\) | 6.15963 | − | 22.9881i | 0.212023 | − | 0.791282i | ||||
\(845\) | −22.3536 | + | 5.98963i | −0.768987 | + | 0.206049i | ||||
\(846\) | 8.82843 | 0.303528 | ||||||||
\(847\) | −10.8284 | − | 26.5241i | −0.372069 | − | 0.911380i | ||||
\(848\) | 24.4853 | − | 24.4853i | 0.840828 | − | 0.840828i | ||||
\(849\) | 11.7279 | − | 20.3134i | 0.402501 | − | 0.697153i | ||||
\(850\) | −1.37258 | − | 2.37738i | −0.0470792 | − | 0.0815436i | ||||
\(851\) | −6.03403 | + | 22.5193i | −0.206844 | + | 0.771952i | ||||
\(852\) | −8.23018 | − | 30.7155i | −0.281961 | − | 1.05229i | ||||
\(853\) | −9.07107 | + | 9.07107i | −0.310587 | + | 0.310587i | −0.845137 | − | 0.534550i | \(-0.820481\pi\) |
0.534550 | + | 0.845137i | \(0.320481\pi\) | |||||||
\(854\) | 12.2502 | + | 16.1346i | 0.419193 | + | 0.552114i | ||||
\(855\) | 5.17157i | 0.176864i | ||||||||
\(856\) | 43.9070 | − | 11.7648i | 1.50071 | − | 0.402114i | ||||
\(857\) | −14.0665 | + | 8.12132i | −0.480504 | + | 0.277419i | −0.720626 | − | 0.693324i | \(-0.756146\pi\) |
0.240123 | + | 0.970743i | \(0.422812\pi\) | |||||||
\(858\) | 0.331453 | + | 0.0888127i | 0.0113156 | + | 0.00303201i | ||||
\(859\) | 1.92971 | + | 7.20179i | 0.0658410 | + | 0.245722i | 0.991001 | − | 0.133856i | \(-0.0427359\pi\) |
−0.925160 | + | 0.379578i | \(0.876069\pi\) | |||||||
\(860\) | − | 23.7157i | − | 0.808700i | ||||||
\(861\) | −0.937200 | − | 1.23437i | −0.0319397 | − | 0.0420673i | ||||
\(862\) | 20.3431i | 0.692890i | ||||||||
\(863\) | −0.192388 | + | 0.333226i | −0.00654897 | + | 0.0113431i | −0.869281 | − | 0.494318i | \(-0.835418\pi\) |
0.862732 | + | 0.505661i | \(0.168751\pi\) | |||||||
\(864\) | 1.46410 | − | 5.46410i | 0.0498097 | − | 0.185893i | ||||
\(865\) | 15.5147 | + | 26.8723i | 0.527516 | + | 0.913685i | ||||
\(866\) | 20.7846 | + | 12.0000i | 0.706290 | + | 0.407777i | ||||
\(867\) | 11.0503 | + | 11.0503i | 0.375286 | + | 0.375286i | ||||
\(868\) | −11.8272 | + | 4.82843i | −0.401441 | + | 0.163887i | ||||
\(869\) | −3.29289 | + | 3.29289i | −0.111704 | + | 0.111704i | ||||
\(870\) | −1.77810 | − | 6.63597i | −0.0602833 | − | 0.224980i | ||||
\(871\) | 6.75412 | − | 3.89949i | 0.228855 | − | 0.132129i | ||||
\(872\) | −4.13829 | − | 1.10885i | −0.140140 | − | 0.0375504i | ||||
\(873\) | −7.19988 | − | 4.15685i | −0.243679 | − | 0.140688i | ||||
\(874\) | −23.3137 | − | 23.3137i | −0.788598 | − | 0.788598i | ||||
\(875\) | −4.04037 | − | 31.9485i | −0.136589 | − | 1.08006i | ||||
\(876\) | 5.65685 | − | 5.65685i | 0.191127 | − | 0.191127i | ||||
\(877\) | −11.8657 | + | 3.17940i | −0.400676 | + | 0.107361i | −0.453529 | − | 0.891241i | \(-0.649835\pi\) |
0.0528530 | + | 0.998602i | \(0.483169\pi\) | |||||||
\(878\) | 18.7782 | + | 32.5248i | 0.633733 | + | 1.09766i | ||||
\(879\) | −7.74264 | − | 13.4106i | −0.261153 | − | 0.452330i | ||||
\(880\) | 2.62357 | + | 1.51472i | 0.0884405 | + | 0.0510612i | ||||
\(881\) | 50.4853 | 1.70089 | 0.850446 | − | 0.526062i | \(-0.176332\pi\) | ||||
0.850446 | + | 0.526062i | \(0.176332\pi\) | |||||||
\(882\) | −7.07107 | + | 6.92820i | −0.238095 | + | 0.233285i | ||||
\(883\) | −19.0000 | − | 19.0000i | −0.639401 | − | 0.639401i | 0.311007 | − | 0.950408i | \(-0.399334\pi\) |
−0.950408 | + | 0.311007i | \(0.899334\pi\) | |||||||
\(884\) | −1.32581 | + | 0.355251i | −0.0445919 | + | 0.0119484i | ||||
\(885\) | −3.65776 | − | 0.980095i | −0.122954 | − | 0.0329455i | ||||
\(886\) | 3.50864 | − | 13.0944i | 0.117875 | − | 0.439916i | ||||
\(887\) | −5.10911 | − | 2.94975i | −0.171547 | − | 0.0990428i | 0.411768 | − | 0.911289i | \(-0.364911\pi\) |
−0.583315 | + | 0.812246i | \(0.698245\pi\) | |||||||
\(888\) | 8.00000i | 0.268462i | ||||||||
\(889\) | 23.5058 | + | 18.2279i | 0.788359 | + | 0.611345i | ||||
\(890\) | 28.4437 | − | 28.4437i | 0.953433 | − | 0.953433i | ||||
\(891\) | 0.107206 | + | 0.400100i | 0.00359155 | + | 0.0134038i | ||||
\(892\) | 20.5563 | + | 35.6046i | 0.688277 | + | 1.19213i | ||||
\(893\) | 4.56993 | − | 17.0552i | 0.152927 | − | 0.570731i | ||||
\(894\) | −18.1610 | − | 10.4853i | −0.607396 | − | 0.350680i | ||||
\(895\) | 34.0589 | 1.13846 | ||||||||
\(896\) | 11.3137 | + | 27.7128i | 0.377964 | + | 0.925820i | ||||
\(897\) | −4.82843 | −0.161216 | ||||||||
\(898\) | 12.5446 | + | 7.24264i | 0.418619 | + | 0.241690i | ||||
\(899\) | −1.66012 | + | 6.19565i | −0.0553681 | + | 0.206637i | ||||
\(900\) | −1.65685 | − | 2.86976i | −0.0552285 | − | 0.0956585i | ||||
\(901\) | −2.62498 | − | 9.79655i | −0.0874507 | − | 0.326370i | ||||
\(902\) | 0.242641 | − | 0.242641i | 0.00807905 | − | 0.00807905i | ||||
\(903\) | −2.32640 | + | 17.0000i | −0.0774176 | + | 0.565725i | ||||
\(904\) | − | 11.0294i | − | 0.366834i | ||||||
\(905\) | 35.2204 | + | 20.3345i | 1.17077 | + | 0.675942i | ||||
\(906\) | 3.50864 | − | 13.0944i | 0.116567 | − | 0.435033i | ||||
\(907\) | 19.0841 | + | 5.11358i | 0.633679 | + | 0.169794i | 0.561338 | − | 0.827586i | \(-0.310287\pi\) |
0.0723402 | + | 0.997380i | \(0.476953\pi\) | |||||||
\(908\) | −20.7816 | + | 5.56842i | −0.689662 | + | 0.184794i | ||||
\(909\) | 5.41421 | + | 5.41421i | 0.179578 | + | 0.179578i | ||||
\(910\) | −3.97056 | − | 0.543359i | −0.131623 | − | 0.0180122i | ||||
\(911\) | −13.2721 | −0.439724 | −0.219862 | − | 0.975531i | \(-0.570561\pi\) | ||||
−0.219862 | + | 0.975531i | \(0.570561\pi\) | |||||||
\(912\) | −9.79796 | − | 5.65685i | −0.324443 | − | 0.187317i | ||||
\(913\) | −2.57107 | − | 4.45322i | −0.0850899 | − | 0.147380i | ||||
\(914\) | 15.2929 | + | 26.4881i | 0.505844 | + | 0.876147i | ||||
\(915\) | −9.56218 | + | 2.56218i | −0.316116 | + | 0.0847030i | ||||
\(916\) | −34.4853 | + | 34.4853i | −1.13943 | + | 1.13943i | ||||
\(917\) | 13.9713 | + | 5.87080i | 0.461373 | + | 0.193871i | ||||
\(918\) | −1.17157 | − | 1.17157i | −0.0386677 | − | 0.0386677i | ||||
\(919\) | −8.11689 | − | 4.68629i | −0.267752 | − | 0.154586i | 0.360114 | − | 0.932908i | \(-0.382738\pi\) |
−0.627865 | + | 0.778322i | \(0.716071\pi\) | |||||||
\(920\) | −41.1749 | − | 11.0328i | −1.35750 | − | 0.363740i | ||||
\(921\) | −7.73268 | + | 4.46447i | −0.254801 | + | 0.147109i | ||||
\(922\) | −4.14110 | − | 15.4548i | −0.136380 | − | 0.508977i | ||||
\(923\) | −6.58579 | + | 6.58579i | −0.216774 | + | 0.216774i | ||||
\(924\) | −1.73205 | − | 1.34315i | −0.0569803 | − | 0.0441863i | ||||
\(925\) | 3.31371 | + | 3.31371i | 0.108954 | + | 0.108954i | ||||
\(926\) | 4.65279 | + | 2.68629i | 0.152900 | + | 0.0882770i | ||||
\(927\) | 8.82843 | + | 15.2913i | 0.289964 | + | 0.502232i | ||||
\(928\) | 14.5173 | + | 3.88990i | 0.476554 | + | 0.127692i | ||||
\(929\) | −6.17157 | + | 10.6895i | −0.202483 | + | 0.350710i | −0.949328 | − | 0.314288i | \(-0.898234\pi\) |
0.746845 | + | 0.664998i | \(0.231568\pi\) | |||||||
\(930\) | − | 6.24264i | − | 0.204704i | ||||||
\(931\) | 9.72401 | + | 17.2466i | 0.318691 | + | 0.565233i | ||||
\(932\) | 10.3431i | 0.338801i | ||||||||
\(933\) | 2.99100 | + | 11.1626i | 0.0979211 | + | 0.365446i | ||||
\(934\) | −13.8544 | − | 3.71228i | −0.453330 | − | 0.121469i | ||||
\(935\) | 0.768426 | − | 0.443651i | 0.0251302 | − | 0.0145089i | ||||
\(936\) | −1.60040 | + | 0.428825i | −0.0523107 | + | 0.0140166i | ||||
\(937\) | − | 27.0000i | − | 0.882052i | −0.897494 | − | 0.441026i | \(-0.854615\pi\) | ||
0.897494 | − | 0.441026i | \(-0.145385\pi\) | |||||||
\(938\) | −49.4217 | + | 6.25012i | −1.61368 | + | 0.204074i | ||||
\(939\) | −6.94975 | + | 6.94975i | −0.226796 | + | 0.226796i | ||||
\(940\) | −5.90843 | − | 22.0506i | −0.192712 | − | 0.719210i | ||||
\(941\) | −9.18427 | + | 34.2761i | −0.299399 | + | 1.11737i | 0.638262 | + | 0.769819i | \(0.279654\pi\) |
−0.937661 | + | 0.347552i | \(0.887013\pi\) | |||||||
\(942\) | −14.8284 | − | 25.6836i | −0.483136 | − | 0.836817i | ||||
\(943\) | −2.41421 | + | 4.18154i | −0.0786176 | + | 0.136170i | ||||
\(944\) | 5.85786 | − | 5.85786i | 0.190657 | − | 0.190657i | ||||
\(945\) | −1.82843 | − | 4.47871i | −0.0594787 | − | 0.145693i | ||||
\(946\) | −3.79899 | −0.123516 | ||||||||
\(947\) | −5.26994 | + | 1.41208i | −0.171250 | + | 0.0458863i | −0.343425 | − | 0.939180i | \(-0.611587\pi\) |
0.172175 | + | 0.985066i | \(0.444921\pi\) | |||||||
\(948\) | 5.81962 | − | 21.7191i | 0.189012 | − | 0.705404i | ||||
\(949\) | −2.26330 | − | 0.606451i | −0.0734700 | − | 0.0196862i | ||||
\(950\) | −6.40159 | + | 1.71530i | −0.207695 | + | 0.0556517i | ||||
\(951\) | 11.3431i | 0.367827i | ||||||||
\(952\) | 8.68629 | + | 1.18869i | 0.281524 | + | 0.0385257i | ||||
\(953\) | 55.2548i | 1.78988i | 0.446187 | + | 0.894940i | \(0.352782\pi\) | ||||
−0.446187 | + | 0.894940i | \(0.647218\pi\) | |||||||
\(954\) | −3.16863 | − | 11.8255i | −0.102588 | − | 0.382864i | ||||
\(955\) | 34.1104 | + | 9.13986i | 1.10379 | + | 0.295759i | ||||
\(956\) | 11.0711 | + | 19.1757i | 0.358064 | + | 0.620185i | ||||
\(957\) | −1.06301 | + | 0.284832i | −0.0343621 | + | 0.00920730i | ||||
\(958\) | − | 21.4558i | − | 0.693207i | ||||||
\(959\) | 33.6274 | + | 4.60181i | 1.08589 | + | 0.148600i | ||||
\(960\) | −14.6274 | −0.472098 | ||||||||
\(961\) | 12.5858 | − | 21.7992i | 0.405993 | − | 0.703201i | ||||
\(962\) | 2.02922 | − | 1.17157i | 0.0654248 | − | 0.0377730i | ||||
\(963\) | 4.15950 | − | 15.5235i | 0.134038 | − | 0.500236i | ||||
\(964\) | 23.1421 | − | 40.0834i | 0.745358 | − | 1.29100i | ||||
\(965\) | 9.05025 | − | 9.05025i | 0.291338 | − | 0.291338i | ||||
\(966\) | 28.4329 | + | 11.9476i | 0.914814 | + | 0.384408i | ||||
\(967\) | 35.1838i | 1.13143i | 0.824600 | + | 0.565717i | \(0.191400\pi\) | ||||
−0.824600 | + | 0.565717i | \(0.808600\pi\) | |||||||
\(968\) | −15.3137 | + | 26.5241i | −0.492201 | + | 0.852518i | ||||
\(969\) | −2.86976 | + | 1.65685i | −0.0921898 | + | 0.0532258i | ||||
\(970\) | −5.56396 | + | 20.7650i | −0.178648 | + | 0.666723i | ||||
\(971\) | −3.73067 | − | 13.9231i | −0.119723 | − | 0.446812i | 0.879874 | − | 0.475207i | \(-0.157627\pi\) |
−0.999597 | + | 0.0283952i | \(0.990960\pi\) | |||||||
\(972\) | −1.41421 | − | 1.41421i | −0.0453609 | − | 0.0453609i | ||||
\(973\) | 47.8841 | − | 6.05567i | 1.53509 | − | 0.194136i | ||||
\(974\) | 0.786797 | 0.0252106 | ||||||||
\(975\) | −0.485281 | + | 0.840532i | −0.0155414 | + | 0.0269186i | ||||
\(976\) | 5.60521 | − | 20.9189i | 0.179418 | − | 0.669598i | ||||
\(977\) | 16.6569 | + | 28.8505i | 0.532900 | + | 0.923010i | 0.999262 | + | 0.0384158i | \(0.0122311\pi\) |
−0.466362 | + | 0.884594i | \(0.654436\pi\) | |||||||
\(978\) | −5.48528 | + | 9.50079i | −0.175400 | + | 0.303802i | ||||
\(979\) | −4.55635 | − | 4.55635i | −0.145622 | − | 0.145622i | ||||
\(980\) | 22.0367 | + | 13.0245i | 0.703938 | + | 0.416054i | ||||
\(981\) | −1.07107 | + | 1.07107i | −0.0341966 | + | 0.0341966i | ||||
\(982\) | −30.8125 | + | 8.25620i | −0.983268 | + | 0.263466i | ||||
\(983\) | −26.4881 | + | 15.2929i | −0.844838 | + | 0.487768i | −0.858906 | − | 0.512134i | \(-0.828855\pi\) |
0.0140677 | + | 0.999901i | \(0.495522\pi\) | |||||||
\(984\) | −0.428825 | + | 1.60040i | −0.0136705 | + | 0.0510188i | ||||
\(985\) | −7.10228 | − | 4.10051i | −0.226298 | − | 0.130653i | ||||
\(986\) | 3.11270 | − | 3.11270i | 0.0991285 | − | 0.0991285i | ||||
\(987\) | 2.07225 | + | 16.3860i | 0.0659605 | + | 0.521571i | ||||
\(988\) | 3.31371i | 0.105423i | ||||||||
\(989\) | 51.6344 | − | 13.8354i | 1.64188 | − | 0.439940i | ||||
\(990\) | 0.927572 | − | 0.535534i | 0.0294802 | − | 0.0170204i | ||||
\(991\) | 15.2782 | + | 26.4626i | 0.485327 | + | 0.840611i | 0.999858 | − | 0.0168606i | \(-0.00536715\pi\) |
−0.514531 | + | 0.857472i | \(0.672034\pi\) | |||||||
\(992\) | 11.8272 | + | 6.82843i | 0.375513 | + | 0.216803i | ||||
\(993\) | −8.00000 | −0.253872 | ||||||||
\(994\) | 55.0775 | − | 22.4853i | 1.74695 | − | 0.713190i | ||||
\(995\) | 24.3431 | + | 24.3431i | 0.771730 | + | 0.771730i | ||||
\(996\) | 21.5020 | + | 12.4142i | 0.681318 | + | 0.393359i | ||||
\(997\) | 28.7836 | + | 7.71255i | 0.911586 | + | 0.244259i | 0.683985 | − | 0.729496i | \(-0.260245\pi\) |
0.227601 | + | 0.973755i | \(0.426912\pi\) | |||||||
\(998\) | 5.60139 | + | 1.50089i | 0.177309 | + | 0.0475098i | ||||
\(999\) | 2.44949 | + | 1.41421i | 0.0774984 | + | 0.0447437i |
(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 | 336.2.bq.a.205.1 | yes | 8 | |
7.4 | even | 3 | inner | 336.2.bq.a.109.2 | yes | 8 | |
16.5 | even | 4 | inner | 336.2.bq.a.37.2 | ✓ | 8 | |
112.53 | even | 12 | inner | 336.2.bq.a.277.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bq.a.37.2 | ✓ | 8 | 16.5 | even | 4 | inner | |
336.2.bq.a.109.2 | yes | 8 | 7.4 | even | 3 | inner | |
336.2.bq.a.205.1 | yes | 8 | 1.1 | even | 1 | trivial | |
336.2.bq.a.277.1 | yes | 8 | 112.53 | even | 12 | inner |