Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [592,2,Mod(319,592)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(592, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("592.319");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 592 = 2^{4} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 592.be (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.72714379966\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 46 x^{18} + 885 x^{16} + 9292 x^{14} + 58264 x^{12} + 224256 x^{10} + 523884 x^{8} + 706272 x^{6} + \cdots + 144 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 399.5 | ||
Root | \(3.11417i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 592.399 |
Dual form | 592.2.be.f.319.5 |
$q$-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 \(\left(\mathbb{Z}/592\mathbb{Z}\right)^\times\).
\(n\) | \(113\) | \(149\) | \(223\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.55708 | − | 2.69695i | 0.898983 | − | 1.55708i | 0.0701865 | − | 0.997534i | \(-0.477641\pi\) |
0.828796 | − | 0.559550i | \(-0.189026\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.386109 | − | 1.44098i | −0.172673 | − | 0.644425i | −0.996936 | − | 0.0782183i | \(-0.975077\pi\) |
0.824263 | − | 0.566207i | \(-0.191590\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.53894 | + | 0.888509i | 0.581666 | + | 0.335825i | 0.761795 | − | 0.647818i | \(-0.224318\pi\) |
−0.180129 | + | 0.983643i | \(0.557652\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.34902 | − | 5.80068i | −1.11634 | − | 1.93356i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.50616 | −1.35866 | −0.679329 | − | 0.733834i | \(-0.737729\pi\) | ||||
−0.679329 | + | 0.733834i | \(0.737729\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.816471 | − | 3.04711i | −0.226448 | − | 0.845116i | −0.981819 | − | 0.189819i | \(-0.939210\pi\) |
0.755371 | − | 0.655297i | \(-0.227457\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.48745 | − | 1.20241i | −1.15865 | − | 0.310461i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.00420 | + | 0.269074i | 0.243554 | + | 0.0652602i | 0.378531 | − | 0.925589i | \(-0.376429\pi\) |
−0.134977 | + | 0.990849i | \(0.543096\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.33013 | + | 0.624355i | −0.534568 | + | 0.143237i | −0.515997 | − | 0.856591i | \(-0.672578\pi\) |
−0.0185709 | + | 0.999828i | \(0.505912\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.79253 | − | 2.76697i | 1.04582 | − | 0.603802i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.24867 | + | 5.24867i | 1.09442 | + | 1.09442i | 0.995050 | + | 0.0993737i | \(0.0316839\pi\) |
0.0993737 | + | 0.995050i | \(0.468316\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.40279 | − | 1.38725i | 0.480557 | − | 0.277450i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −11.5163 | −2.21632 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.77549 | + | 3.77549i | 0.701090 | + | 0.701090i | 0.964645 | − | 0.263554i | \(-0.0848949\pi\) |
−0.263554 | + | 0.964645i | \(0.584895\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.22131 | − | 4.22131i | 0.758169 | − | 0.758169i | −0.217820 | − | 0.975989i | \(-0.569895\pi\) |
0.975989 | + | 0.217820i | \(0.0698945\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −7.01647 | + | 12.1529i | −1.22141 | + | 2.11554i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.686123 | − | 2.56065i | 0.115976 | − | 0.432828i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.55878 | − | 5.87964i | 0.256263 | − | 0.966607i | ||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −9.48921 | − | 2.54263i | −1.51949 | − | 0.407146i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.21484 | + | 4.16549i | 1.12677 | + | 0.650541i | 0.943120 | − | 0.332451i | \(-0.107876\pi\) |
0.183649 | + | 0.982992i | \(0.441209\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.73682 | − | 7.73682i | −1.17985 | − | 1.17985i | −0.979781 | − | 0.200073i | \(-0.935882\pi\) |
−0.200073 | − | 0.979781i | \(-0.564118\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −7.06556 | + | 7.06556i | −1.05327 | + | 1.05327i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.13543i | 0.749080i | 0.927211 | + | 0.374540i | \(0.122199\pi\) | ||||
−0.927211 | + | 0.374540i | \(0.877801\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.92110 | − | 3.32745i | −0.274443 | − | 0.475350i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.28930 | − | 2.28930i | 0.320567 | − | 0.320567i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.45764 | − | 5.98880i | −0.474943 | − | 0.822625i | 0.524645 | − | 0.851321i | \(-0.324198\pi\) |
−0.999588 | + | 0.0286958i | \(0.990865\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.73987 | + | 6.49328i | 0.234604 | + | 0.875553i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.94435 | + | 7.25640i | −0.257535 | + | 0.961134i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.71617 | + | 10.1369i | −0.353616 | + | 1.31971i | 0.528602 | + | 0.848870i | \(0.322716\pi\) |
−0.882218 | + | 0.470842i | \(0.843950\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.78954 | − | 1.28335i | 0.613238 | − | 0.164317i | 0.0611861 | − | 0.998126i | \(-0.480512\pi\) |
0.552052 | + | 0.833810i | \(0.313845\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | − | 11.9025i | − | 1.49958i | ||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.07557 | + | 2.35303i | −0.505513 | + | 0.291858i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.03004 | + | 10.4443i | −0.736687 | + | 1.27598i | 0.217292 | + | 0.976107i | \(0.430278\pi\) |
−0.953979 | + | 0.299873i | \(0.903056\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 22.3280 | − | 5.98278i | 2.68798 | − | 0.720242i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.09087 | + | 2.93921i | 0.604175 | + | 0.348820i | 0.770682 | − | 0.637220i | \(-0.219916\pi\) |
−0.166507 | + | 0.986040i | \(0.553249\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 1.33259i | − | 0.155968i | −0.996955 | − | 0.0779842i | \(-0.975152\pi\) | ||
0.996955 | − | 0.0779842i | \(-0.0248484\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | − | 8.64026i | − | 0.997691i | ||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.93472 | − | 4.00376i | −0.790285 | − | 0.456271i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.53795 | − | 1.75184i | 0.735577 | − | 0.197097i | 0.128466 | − | 0.991714i | \(-0.458995\pi\) |
0.607111 | + | 0.794617i | \(0.292328\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.88483 | + | 13.6569i | −0.876092 | + | 1.51744i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.89869 | − | 2.82826i | 0.537702 | − | 0.310442i | −0.206445 | − | 0.978458i | \(-0.566190\pi\) |
0.744147 | + | 0.668016i | \(0.232856\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 1.55092i | − | 0.168221i | ||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 16.0610 | − | 4.30354i | 1.72192 | − | 0.461388i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.46168 | − | 5.45505i | 0.154937 | − | 0.578234i | −0.844173 | − | 0.536070i | \(-0.819908\pi\) |
0.999111 | − | 0.0421636i | \(-0.0134251\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.45088 | − | 5.41477i | 0.152094 | − | 0.567622i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.81172 | − | 17.9576i | −0.498952 | − | 1.86211i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.79937 | + | 3.11659i | 0.184611 | + | 0.319756i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.23082 | + | 1.23082i | −0.124971 | + | 0.124971i | −0.766826 | − | 0.641855i | \(-0.778165\pi\) |
0.641855 | + | 0.766826i | \(0.278165\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 15.0912 | + | 26.1388i | 1.51672 | + | 2.62704i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.97888i | 0.793928i | 0.917834 | + | 0.396964i | \(0.129936\pi\) | ||||
−0.917834 | + | 0.396964i | \(0.870064\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.81696 | − | 1.81696i | 0.179031 | − | 0.179031i | −0.611902 | − | 0.790933i | \(-0.709596\pi\) |
0.790933 | + | 0.611902i | \(0.209596\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.83758 | − | 5.83758i | −0.569690 | − | 0.569690i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 12.3662 | + | 7.13965i | 1.19549 | + | 0.690216i | 0.959546 | − | 0.281551i | \(-0.0908489\pi\) |
0.235943 | + | 0.971767i | \(0.424182\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.1264 | + | 3.78516i | 1.35306 | + | 0.362552i | 0.861264 | − | 0.508157i | \(-0.169673\pi\) |
0.491798 | + | 0.870709i | \(0.336340\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −13.4299 | − | 13.3591i | −1.27471 | − | 1.26799i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.29710 | − | 16.0370i | 0.404237 | − | 1.50863i | −0.401222 | − | 0.915981i | \(-0.631415\pi\) |
0.805459 | − | 0.592651i | \(-0.201919\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.53667 | − | 9.58979i | 0.516297 | − | 0.894252i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −14.9409 | + | 14.9409i | −1.38129 | + | 1.38129i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.30633 | + | 1.30633i | 0.119751 | + | 0.119751i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.30545 | 0.845950 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 22.4682 | − | 12.9720i | 2.02589 | − | 1.16965i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.20109 | − | 8.20109i | −0.733527 | − | 0.733527i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.7276 | + | 9.08036i | −1.39560 | + | 0.805751i | −0.993928 | − | 0.110031i | \(-0.964905\pi\) |
−0.401674 | + | 0.915783i | \(0.631572\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −32.9127 | + | 8.81893i | −2.89780 | + | 0.776463i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 12.9139 | + | 3.46027i | 1.12829 | + | 0.302325i | 0.774235 | − | 0.632899i | \(-0.218135\pi\) |
0.354058 | + | 0.935224i | \(0.384802\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.14068 | − | 1.10949i | −0.359042 | − | 0.0962051i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.44656 | + | 16.5948i | 0.382699 | + | 1.42825i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −16.6081 | −1.41893 | −0.709464 | − | 0.704741i | \(-0.751063\pi\) | ||||
−0.709464 | + | 0.704741i | \(0.751063\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.27427 | − | 10.8674i | −0.532176 | − | 0.921757i | −0.999294 | − | 0.0375616i | \(-0.988041\pi\) |
0.467118 | − | 0.884195i | \(-0.345292\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 13.8500 | + | 7.99630i | 1.16638 | + | 0.673410i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.67914 | + | 13.7308i | 0.307666 | + | 1.14822i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.98265 | − | 6.89815i | 0.330741 | − | 0.572860i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −11.9653 | −0.986879 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 14.8042 | 1.21280 | 0.606402 | − | 0.795158i | \(-0.292612\pi\) | ||||
0.606402 | + | 0.795158i | \(0.292612\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.15321 | + | 3.72947i | −0.175226 | + | 0.303500i | −0.940239 | − | 0.340514i | \(-0.889399\pi\) |
0.765013 | + | 0.644014i | \(0.222732\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.80227 | − | 6.72617i | −0.145705 | − | 0.543779i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.71270 | − | 4.45293i | −0.619499 | − | 0.357668i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 11.9714 | + | 20.7351i | 0.955425 | + | 1.65484i | 0.733393 | + | 0.679804i | \(0.237935\pi\) |
0.222031 | + | 0.975040i | \(0.428731\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −21.5353 | −1.70786 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.41391 | + | 12.7409i | 0.269054 | + | 1.00412i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 20.2462 | + | 5.42496i | 1.58581 | + | 0.424916i | 0.940717 | − | 0.339191i | \(-0.110153\pi\) |
0.645089 | + | 0.764107i | \(0.276820\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 20.2212 | + | 5.41824i | 1.57422 | + | 0.421810i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.00006 | − | 0.267964i | 0.0773867 | − | 0.0207357i | −0.219918 | − | 0.975518i | \(-0.570579\pi\) |
0.297305 | + | 0.954783i | \(0.403912\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.64008 | − | 1.52425i | 0.203083 | − | 0.117250i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.4253 | + | 11.4253i | 0.873716 | + | 0.873716i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −8.83349 | + | 5.10002i | −0.671598 | + | 0.387747i | −0.796682 | − | 0.604399i | \(-0.793413\pi\) |
0.125084 | + | 0.992146i | \(0.460080\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.93034 | 0.372698 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 23.1094 | + | 23.1094i | 1.73701 | + | 1.73701i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.932835 | + | 0.932835i | −0.0697234 | + | 0.0697234i | −0.741109 | − | 0.671385i | \(-0.765700\pi\) |
0.671385 | + | 0.741109i | \(0.265700\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.16068 | + | 14.1347i | −0.606579 | + | 1.05063i | 0.385221 | + | 0.922824i | \(0.374125\pi\) |
−0.991800 | + | 0.127801i | \(0.959208\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.99658 | − | 14.9154i | 0.295436 | − | 1.10258i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −9.07430 | + | 0.0240085i | −0.667156 | + | 0.00176514i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.52508 | − | 1.21249i | −0.330907 | − | 0.0886662i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −17.7230 | − | 10.2324i | −1.28916 | − | 0.744295i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.38978 | − | 7.38978i | −0.534706 | − | 0.534706i | 0.387263 | − | 0.921969i | \(-0.373420\pi\) |
−0.921969 | + | 0.387263i | \(0.873420\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.37281 | + | 6.37281i | −0.458725 | + | 0.458725i | −0.898237 | − | 0.439512i | \(-0.855151\pi\) |
0.439512 | + | 0.898237i | \(0.355151\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 14.6555i | 1.04950i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.36425 | − | 9.29115i | −0.382187 | − | 0.661967i | 0.609188 | − | 0.793026i | \(-0.291496\pi\) |
−0.991375 | + | 0.131059i | \(0.958162\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.51856 | + | 1.51856i | −0.107648 | + | 0.107648i | −0.758879 | − | 0.651231i | \(-0.774253\pi\) |
0.651231 | + | 0.758879i | \(0.274253\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 18.7786 | + | 32.5254i | 1.32454 | + | 2.29417i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.45570 | + | 9.16481i | 0.172357 | + | 0.643244i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.21667 | − | 12.0048i | 0.224662 | − | 0.838450i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 12.8679 | − | 48.0238i | 0.894383 | − | 3.33788i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 10.4999 | − | 2.81344i | 0.726294 | − | 0.194610i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 17.9619i | − | 1.23655i | −0.785962 | − | 0.618274i | \(-0.787832\pi\) | ||
0.785962 | − | 0.618274i | \(-0.212168\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 15.8538 | − | 9.15320i | 1.08629 | − | 0.627167i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −8.16134 | + | 14.1359i | −0.556599 | + | 0.964057i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.2470 | − | 2.74568i | 0.695613 | − | 0.186389i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.59394 | − | 2.07496i | −0.242856 | − | 0.140213i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 3.27960i | − | 0.220610i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 4.09362i | − | 0.274129i | −0.990562 | − | 0.137065i | \(-0.956233\pi\) | ||
0.990562 | − | 0.137065i | \(-0.0437668\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −16.0940 | − | 9.29186i | −1.07293 | − | 0.619457i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −19.3365 | + | 5.18119i | −1.28341 | + | 0.343888i | −0.835152 | − | 0.550019i | \(-0.814621\pi\) |
−0.448254 | + | 0.893906i | \(0.647954\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.6060 | + | 21.8342i | −0.833025 | + | 1.44284i | 0.0626028 | + | 0.998039i | \(0.480060\pi\) |
−0.895628 | + | 0.444804i | \(0.853273\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −21.5959 | + | 12.4684i | −1.42090 | + | 0.820360i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 29.1142i | 1.90734i | 0.300860 | + | 0.953668i | \(0.402726\pi\) | ||||
−0.300860 | + | 0.953668i | \(0.597274\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.40005 | − | 1.98284i | 0.482726 | − | 0.129346i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 5.45552 | − | 20.3603i | 0.354374 | − | 1.32254i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.47175 | + | 5.49263i | −0.0951994 | + | 0.355289i | −0.997050 | − | 0.0767598i | \(-0.975543\pi\) |
0.901850 | + | 0.432049i | \(0.142209\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.86393 | − | 18.1524i | −0.313313 | − | 1.16930i | −0.925550 | − | 0.378626i | \(-0.876397\pi\) |
0.612237 | − | 0.790674i | \(-0.290270\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.28019 | + | 12.6097i | 0.467024 | + | 0.808910i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.05303 | + | 4.05303i | −0.258938 | + | 0.258938i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.80496 | + | 6.59038i | 0.242104 | + | 0.419336i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | − | 17.6154i | − | 1.11633i | ||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −17.3059 | + | 17.3059i | −1.09234 | + | 1.09234i | −0.0970593 | + | 0.995279i | \(0.530944\pi\) |
−0.995279 | + | 0.0970593i | \(0.969056\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −23.6513 | − | 23.6513i | −1.48695 | − | 1.48695i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.18276 | − | 2.41492i | −0.261935 | − | 0.151228i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −13.4767 | − | 3.61108i | −0.840654 | − | 0.225253i | −0.187298 | − | 0.982303i | \(-0.559973\pi\) |
−0.653356 | + | 0.757050i | \(0.726640\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.62300 | − | 7.66344i | 0.473670 | − | 0.476183i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.25618 | − | 34.5446i | 0.572943 | − | 2.13825i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.377548 | − | 0.653932i | 0.0232806 | − | 0.0403232i | −0.854150 | − | 0.520026i | \(-0.825922\pi\) |
0.877431 | + | 0.479703i | \(0.159256\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.29471 | + | 7.29471i | −0.448111 | + | 0.448111i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.4360 | − | 12.4360i | −0.761073 | − | 0.761073i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −22.9471 | −1.39911 | −0.699555 | − | 0.714578i | \(-0.746619\pi\) | ||||
−0.699555 | + | 0.714578i | \(0.746619\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.2100 | + | 5.89476i | −0.620215 | + | 0.358081i | −0.776953 | − | 0.629559i | \(-0.783236\pi\) |
0.156738 | + | 0.987640i | \(0.449902\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −12.3442 | − | 12.3442i | −0.747106 | − | 0.747106i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −10.8273 | + | 6.25116i | −0.652913 | + | 0.376959i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 30.1787 | − | 8.08636i | 1.81326 | − | 0.485862i | 0.817346 | − | 0.576148i | \(-0.195445\pi\) |
0.995916 | + | 0.0902856i | \(0.0287780\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −38.6237 | − | 10.3492i | −2.31234 | − | 0.619590i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.193586 | + | 0.0518713i | 0.0115484 | + | 0.00309438i | 0.264589 | − | 0.964361i | \(-0.414764\pi\) |
−0.253040 | + | 0.967456i | \(0.581431\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.60439 | − | 13.4518i | −0.214259 | − | 0.799624i | −0.986426 | − | 0.164205i | \(-0.947494\pi\) |
0.772168 | − | 0.635419i | \(-0.219173\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 11.2071 | 0.663849 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.40216 | + | 12.8209i | 0.436935 | + | 0.756794i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.7864 | − | 7.95959i | −0.810966 | − | 0.468211i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.40297 | + | 5.23596i | 0.0822436 | + | 0.306937i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.63678 | − | 4.56703i | 0.154042 | − | 0.266809i | −0.778668 | − | 0.627436i | \(-0.784104\pi\) |
0.932710 | + | 0.360628i | \(0.117438\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 15.6558 | 0.911515 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 51.8944 | 3.01122 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 11.7079 | − | 20.2787i | 0.677085 | − | 1.17275i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.03229 | − | 18.7808i | −0.290056 | − | 1.08251i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 21.5186 | + | 12.4238i | 1.23621 | + | 0.713728i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3.69857 | − | 6.40612i | −0.211780 | − | 0.366813i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.9562 | 0.739447 | 0.369724 | − | 0.929142i | \(-0.379452\pi\) | ||||
0.369724 | + | 0.929142i | \(0.379452\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.07109 | − | 7.72942i | −0.117820 | − | 0.439712i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.3402 | + | 2.77065i | 0.586340 | + | 0.157109i | 0.539780 | − | 0.841806i | \(-0.318508\pi\) |
0.0465598 | + | 0.998916i | \(0.485174\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.84596 | + | 0.494623i | 0.104340 | + | 0.0279578i | 0.310611 | − | 0.950537i | \(-0.399466\pi\) |
−0.206271 | + | 0.978495i | \(0.566133\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −17.1513 | + | 4.59568i | −0.966367 | + | 0.258937i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.48468 | − | 2.58923i | 0.251885 | − | 0.145426i | −0.368742 | − | 0.929532i | \(-0.620211\pi\) |
0.620627 | + | 0.784106i | \(0.286878\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −17.0129 | − | 17.0129i | −0.952541 | − | 0.952541i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 38.5105 | − | 22.2341i | 2.14945 | − | 1.24098i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.50791 | −0.139544 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.18891 | − | 6.18891i | −0.343299 | − | 0.343299i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 32.2043 | − | 32.2043i | 1.78090 | − | 1.78090i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −4.56288 | + | 7.90314i | −0.251560 | + | 0.435714i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.79053 | + | 6.68236i | −0.0984166 | + | 0.367296i | −0.997515 | − | 0.0704502i | \(-0.977556\pi\) |
0.899099 | + | 0.437746i | \(0.144223\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −39.3263 | + | 10.6490i | −2.15507 | + | 0.583564i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 17.3783 | + | 4.65651i | 0.949480 | + | 0.254412i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.8160 | + | 9.70871i | 0.916025 | + | 0.528867i | 0.882365 | − | 0.470566i | \(-0.155950\pi\) |
0.0336599 | + | 0.999433i | \(0.489284\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −36.5600 | − | 36.5600i | −1.98566 | − | 1.98566i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −19.0219 | + | 19.0219i | −1.03009 | + | 1.03009i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 19.2668i | − | 1.04031i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −17.2421 | − | 29.8642i | −0.928284 | − | 1.60784i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 12.1668 | − | 12.1668i | 0.653148 | − | 0.653148i | −0.300602 | − | 0.953750i | \(-0.597188\pi\) |
0.953750 | + | 0.300602i | \(0.0971876\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.4784 | + | 19.8812i | 0.614426 | + | 1.06422i | 0.990485 | + | 0.137621i | \(0.0439457\pi\) |
−0.376059 | + | 0.926596i | \(0.622721\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 9.40275 | + | 35.0915i | 0.501881 | + | 1.87305i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.76543 | + | 10.3207i | −0.147189 | + | 0.549316i | 0.852459 | + | 0.522793i | \(0.175110\pi\) |
−0.999648 | + | 0.0265227i | \(0.991557\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.26971 | − | 8.47069i | 0.120464 | − | 0.449578i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 5.55717 | − | 1.48904i | 0.294117 | − | 0.0788084i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 4.51041i | − | 0.238050i | −0.992891 | − | 0.119025i | \(-0.962023\pi\) | ||
0.992891 | − | 0.119025i | \(-0.0379769\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.4148 | + | 6.59035i | −0.600780 | + | 0.346860i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 14.4894 | − | 25.0963i | 0.760495 | − | 1.31722i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.92024 | + | 0.514527i | −0.100510 | + | 0.0269316i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −12.0895 | − | 6.97989i | −0.631068 | − | 0.364347i | 0.150098 | − | 0.988671i | \(-0.452041\pi\) |
−0.781165 | + | 0.624324i | \(0.785375\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 55.8013i | − | 2.90490i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 12.2886i | − | 0.637990i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.9389 | + | 9.77966i | 0.877061 | + | 0.506371i | 0.869688 | − | 0.493601i | \(-0.164320\pi\) |
0.00737276 | + | 0.999973i | \(0.497653\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −34.8877 | + | 9.34813i | −1.80159 | + | 0.482735i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 8.42175 | − | 14.5869i | 0.433742 | − | 0.751263i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.2874 | + | 12.2903i | −1.09346 | + | 0.631310i | −0.934496 | − | 0.355975i | \(-0.884149\pi\) |
−0.158965 | + | 0.987284i | \(0.550816\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 56.5555i | 2.89743i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.7014 | + | 2.86742i | −0.546814 | + | 0.146518i | −0.521641 | − | 0.853165i | \(-0.674680\pi\) |
−0.0251723 | + | 0.999683i | \(0.508013\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.09178 | + | 11.5387i | −0.157572 | + | 0.588065i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −18.9680 | + | 70.7896i | −0.964198 | + | 3.59844i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.68859 | − | 10.0340i | −0.136317 | − | 0.508742i | −0.999989 | − | 0.00468798i | \(-0.998508\pi\) |
0.863672 | − | 0.504054i | \(-0.168159\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.85843 | + | 6.68300i | 0.195129 | + | 0.337974i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 29.4402 | − | 29.4402i | 1.48506 | − | 1.48506i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −5.04873 | − | 8.74465i | −0.254029 | − | 0.439991i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 35.4744i | 1.78041i | 0.455562 | + | 0.890204i | \(0.349438\pi\) | ||||
−0.455562 | + | 0.890204i | \(0.650562\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −9.43962 | + | 9.43962i | −0.472572 | + | 0.472572i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.16954 | + | 8.16954i | 0.407967 | + | 0.407967i | 0.881029 | − | 0.473062i | \(-0.156851\pi\) |
−0.473062 | + | 0.881029i | \(0.656851\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.3094 | − | 9.41621i | −0.812427 | − | 0.469055i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 22.7237 | + | 6.08881i | 1.12915 | + | 0.302555i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.02413 | + | 26.4946i | −0.348173 | + | 1.31329i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.89340 | + | 7.06627i | −0.0936227 | + | 0.349405i | −0.996807 | − | 0.0798483i | \(-0.974556\pi\) |
0.903184 | + | 0.429253i | \(0.141223\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −25.8603 | + | 44.7913i | −1.27559 | + | 2.20939i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −13.1868 | + | 13.1868i | −0.648878 | + | 0.648878i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.96690 | − | 5.96690i | −0.292904 | − | 0.292904i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −39.0782 | −1.91367 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 8.85347 | − | 5.11155i | 0.432520 | − | 0.249716i | −0.267900 | − | 0.963447i | \(-0.586330\pi\) |
0.700420 | + | 0.713731i | \(0.252996\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.97382 | + | 2.97382i | 0.144935 | + | 0.144935i | 0.775851 | − | 0.630916i | \(-0.217321\pi\) |
−0.630916 | + | 0.775851i | \(0.717321\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 29.7890 | − | 17.1987i | 1.44839 | − | 0.836228i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.78615 | − | 0.746547i | 0.135148 | − | 0.0362128i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.51110 | + | 2.28054i | 0.411881 | + | 0.110363i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 42.7599 | + | 11.4575i | 2.06447 | + | 0.553172i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6.50047 | + | 24.2601i | 0.313117 | + | 1.16857i | 0.925730 | + | 0.378185i | \(0.123452\pi\) |
−0.612613 | + | 0.790383i | \(0.709882\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14.9790 | −0.719843 | −0.359922 | − | 0.932983i | \(-0.617197\pi\) | ||||
−0.359922 | + | 0.932983i | \(0.617197\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −12.4026 | − | 21.4820i | −0.594661 | − | 1.02998i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −15.5071 | − | 8.95303i | −0.741805 | − | 0.428282i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.17158 | + | 8.10445i | 0.103644 | + | 0.386804i | 0.998188 | − | 0.0601758i | \(-0.0191661\pi\) |
−0.894544 | + | 0.446980i | \(0.852499\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −12.8676 | + | 22.2874i | −0.612744 | + | 1.06130i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 7.29372 | 0.346535 | 0.173268 | − | 0.984875i | \(-0.444567\pi\) | ||||
0.173268 | + | 0.984875i | \(0.444567\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.42497 | −0.399382 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 23.0513 | − | 39.9261i | 1.09029 | − | 1.88844i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.79578 | + | 21.6301i | 0.273520 | + | 1.02079i | 0.956827 | + | 0.290659i | \(0.0938744\pi\) |
−0.683307 | + | 0.730131i | \(0.739459\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −32.5112 | − | 18.7704i | −1.53089 | − | 0.883862i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 6.70547 | + | 11.6142i | 0.315050 | + | 0.545683i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −8.36277 | −0.392053 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.94483 | − | 33.3825i | −0.418421 | − | 1.56157i | −0.777883 | − | 0.628410i | \(-0.783706\pi\) |
0.359461 | − | 0.933160i | \(-0.382960\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −11.5647 | − | 3.09875i | −0.539794 | − | 0.144637i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −15.4870 | − | 4.14973i | −0.721302 | − | 0.193272i | −0.120549 | − | 0.992707i | \(-0.538466\pi\) |
−0.600752 | + | 0.799435i | \(0.705132\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.86040 | + | 2.64209i | −0.458252 | + | 0.122788i | −0.480558 | − | 0.876963i | \(-0.659566\pi\) |
0.0223062 | + | 0.999751i | \(0.492899\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −24.0186 | + | 13.8672i | −1.11384 | + | 0.643075i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −12.6736 | − | 12.6736i | −0.586466 | − | 0.586466i | 0.350206 | − | 0.936673i | \(-0.386111\pi\) |
−0.936673 | + | 0.350206i | \(0.886111\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −18.5598 | + | 10.7155i | −0.857011 | + | 0.494796i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 74.5621 | 3.43564 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 34.8633 | + | 34.8633i | 1.60302 | + | 1.60302i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.73266 | + | 4.73266i | −0.217149 | + | 0.217149i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −23.1594 | + | 40.1133i | −1.06040 | + | 1.83666i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.66955 | + | 32.3552i | −0.396122 | + | 1.47835i | 0.423739 | + | 0.905784i | \(0.360717\pi\) |
−0.819861 | + | 0.572562i | \(0.805949\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −19.1886 | + | 0.0507686i | −0.874926 | + | 0.00231485i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 39.6773 | + | 10.6315i | 1.80538 | + | 0.483750i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.24882 | + | 1.29836i | 0.102114 | + | 0.0589554i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.86756 | + | 2.86756i | 0.129942 | + | 0.129942i | 0.769086 | − | 0.639145i | \(-0.220712\pi\) |
−0.639145 | + | 0.769086i | \(0.720712\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 46.1559 | − | 46.1559i | 2.08724 | − | 2.08724i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 15.2148i | 0.686633i | 0.939220 | + | 0.343317i | \(0.111550\pi\) | ||||
−0.939220 | + | 0.343317i | \(0.888450\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.77545 | + | 4.80723i | 0.125000 | + | 0.216507i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 31.8385 | − | 31.8385i | 1.43104 | − | 1.43104i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 5.22304 | + | 9.04656i | 0.234285 | + | 0.405794i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.55672 | + | 9.54180i | 0.114454 | + | 0.427150i | 0.999246 | − | 0.0388383i | \(-0.0123657\pi\) |
−0.884791 | + | 0.465988i | \(0.845699\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.834486 | − | 3.11434i | 0.0372821 | − | 0.139139i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.13964 | − | 34.1096i | 0.407516 | − | 1.52087i | −0.391850 | − | 0.920029i | \(-0.628165\pi\) |
0.799367 | − | 0.600843i | \(-0.205168\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.4974 | − | 3.08072i | 0.511627 | − | 0.137090i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 9.49353i | − | 0.421623i | ||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −31.8302 | + | 18.3772i | −1.41085 | + | 0.814554i | −0.995468 | − | 0.0950946i | \(-0.969685\pi\) |
−0.415380 | + | 0.909648i | \(0.636351\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.18402 | − | 2.05079i | 0.0523781 | − | 0.0907215i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 26.8345 | − | 7.19028i | 1.18477 | − | 0.317459i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −3.31975 | − | 1.91666i | −0.146286 | − | 0.0844582i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 23.1411i | − | 1.01774i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 31.7646i | 1.39431i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.8864 | + | 8.01731i | 0.608374 | + | 0.351245i | 0.772329 | − | 0.635223i | \(-0.219092\pi\) |
−0.163955 | + | 0.986468i | \(0.552425\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −13.4676 | + | 3.60864i | −0.588899 | + | 0.157795i | −0.540950 | − | 0.841055i | \(-0.681935\pi\) |
−0.0479489 | + | 0.998850i | \(0.515268\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 7.67695 | − | 13.2969i | 0.335049 | − | 0.580323i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.37488 | − | 3.10319i | 0.234134 | − | 0.135177i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 32.0971i | 1.39553i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 67.8974 | − | 18.1930i | 2.94649 | − | 0.789511i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.80200 | − | 25.3854i | 0.294628 | − | 1.09956i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.51337 | − | 20.5762i | 0.238364 | − | 0.889585i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.06331 | + | 3.96831i | 0.0458850 | + | 0.171245i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 8.65679 | + | 14.9940i | 0.372874 | + | 0.645837i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 20.5067 | − | 20.5067i | 0.881654 | − | 0.881654i | −0.112049 | − | 0.993703i | \(-0.535741\pi\) |
0.993703 | + | 0.112049i | \(0.0357414\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 25.4137 | + | 44.0179i | 1.09061 | + | 1.88899i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | − | 21.8173i | − | 0.934551i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.78520 | − | 4.78520i | 0.204601 | − | 0.204601i | −0.597367 | − | 0.801968i | \(-0.703787\pi\) |
0.801968 | + | 0.597367i | \(0.203787\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −23.4846 | − | 23.4846i | −1.00230 | − | 1.00230i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.1546 | − | 6.44011i | −0.475202 | − | 0.274358i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.6181 | + | 3.11305i | 0.494050 | + | 0.132380i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −14.0647 | + | 24.5103i | −0.597013 | + | 1.04040i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.93726 | + | 7.22994i | −0.0820842 | + | 0.306343i | −0.994746 | − | 0.102373i | \(-0.967356\pi\) |
0.912662 | + | 0.408715i | \(0.134023\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.2581 | + | 29.8918i | −0.729938 | + | 1.26429i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −10.3160 | + | 10.3160i | −0.435540 | + | 0.435540i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −17.7178 | − | 17.7178i | −0.746715 | − | 0.746715i | 0.227145 | − | 0.973861i | \(-0.427061\pi\) |
−0.973861 | + | 0.227145i | \(0.927061\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −24.7681 | −1.04200 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −24.2686 | + | 14.0115i | −1.01919 | + | 0.588427i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −23.4963 | − | 23.4963i | −0.985016 | − | 0.985016i | 0.0148732 | − | 0.999889i | \(-0.495266\pi\) |
−0.999889 | + | 0.0148732i | \(0.995266\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 29.3682 | − | 16.9558i | 1.22902 | − | 0.709577i | 0.262197 | − | 0.965014i | \(-0.415553\pi\) |
0.966826 | + | 0.255438i | \(0.0822195\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −31.4364 | + | 8.42335i | −1.31327 | + | 0.351890i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 19.8927 | + | 5.33022i | 0.829581 | + | 0.222286i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.76034 | − | 0.739632i | −0.114915 | − | 0.0307913i | 0.200903 | − | 0.979611i | \(-0.435612\pi\) |
−0.315818 | + | 0.948820i | \(0.602279\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.26414 | + | 27.1101i | 0.301887 | + | 1.12666i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 10.0517 | 0.417017 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 15.5807 | + | 26.9865i | 0.645285 | + | 1.11767i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 27.2984 | + | 15.7607i | 1.12865 | + | 0.651626i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1.03447 | − | 3.86071i | −0.0426973 | − | 0.159349i | 0.941286 | − | 0.337611i | \(-0.109619\pi\) |
−0.983983 | + | 0.178263i | \(0.942952\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.20058 | + | 12.4718i | −0.296695 | + | 0.513890i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −33.4103 | −1.37432 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.96925 | −0.0808674 | −0.0404337 | − | 0.999182i | \(-0.512874\pi\) | ||||
−0.0404337 | + | 0.999182i | \(0.512874\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.37801 | − | 2.38678i | 0.0564929 | − | 0.0978485i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.73096 | + | 6.46002i | 0.0708433 | + | 0.264391i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −4.10805 | − | 2.37179i | −0.167851 | − | 0.0969086i | 0.413721 | − | 0.910404i | \(-0.364229\pi\) |
−0.581572 | + | 0.813495i | \(0.697562\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.32332 | − | 4.02410i | −0.0947700 | − | 0.164146i | 0.814743 | − | 0.579823i | \(-0.196878\pi\) |
−0.909513 | + | 0.415676i | \(0.863545\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 80.7790 | 3.28957 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.59292 | − | 13.4090i | −0.146073 | − | 0.545152i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 35.5442 | + | 9.52403i | 1.44269 | + | 0.386568i | 0.893476 | − | 0.449111i | \(-0.148259\pi\) |
0.549217 | + | 0.835680i | \(0.314926\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 28.5408 | + | 7.64747i | 1.15653 | + | 0.309891i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 15.6482 | − | 4.19293i | 0.633060 | − | 0.169628i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.4656 | − | 6.04232i | 0.422702 | − | 0.244047i | −0.273531 | − | 0.961863i | \(-0.588191\pi\) |
0.696233 | + | 0.717816i | \(0.254858\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −27.3676 | − | 27.3676i | −1.10357 | − | 1.10357i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.52892 | − | 1.46008i | 0.101811 | − | 0.0587804i | −0.448230 | − | 0.893918i | \(-0.647945\pi\) |
0.550041 | + | 0.835138i | \(0.314612\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.5302 | −0.423243 | −0.211622 | − | 0.977352i | \(-0.567874\pi\) | ||||
−0.211622 | + | 0.977352i | \(0.567874\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −60.4454 | − | 60.4454i | −2.42559 | − | 2.42559i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 7.09629 | − | 7.09629i | 0.284307 | − | 0.284307i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.71483 | + | 2.97017i | −0.0685932 | + | 0.118807i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 8.76154 | − | 32.6985i | 0.349902 | − | 1.30585i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.14739 | − | 5.48491i | 0.125495 | − | 0.218698i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.7309 | − | 4.75099i | −0.705858 | − | 0.189134i | −0.112005 | − | 0.993708i | \(-0.535727\pi\) |
−0.593853 | + | 0.804574i | \(0.702394\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −48.4423 | − | 27.9682i | −1.92541 | − | 1.11164i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 19.1572 | + | 19.1572i | 0.760230 | + | 0.760230i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.57058 | + | 8.57058i | −0.339579 | + | 0.339579i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 39.3740i | − | 1.55761i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.11808 | − | 1.93658i | −0.0441616 | − | 0.0764902i | 0.843100 | − | 0.537757i | \(-0.180728\pi\) |
−0.887261 | + | 0.461267i | \(0.847395\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13.7492 | − | 13.7492i | 0.542215 | − | 0.542215i | −0.381963 | − | 0.924178i | \(-0.624752\pi\) |
0.924178 | + | 0.381963i | \(0.124752\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 25.4158 | + | 44.0214i | 1.00075 | + | 1.73334i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −11.2945 | − | 42.1517i | −0.444034 | − | 1.65716i | −0.718476 | − | 0.695552i | \(-0.755160\pi\) |
0.274442 | − | 0.961604i | \(-0.411507\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 12.2395 | − | 45.6784i | 0.480442 | − | 1.79304i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 8.55051 | − | 31.9109i | 0.335121 | − | 1.25069i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −14.4892 | + | 3.88236i | −0.567004 | + | 0.151928i | −0.530922 | − | 0.847420i | \(-0.678154\pi\) |
−0.0360820 | + | 0.999349i | \(0.511488\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 19.9447i | − | 0.779304i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.72995 | + | 4.46289i | −0.301574 | + | 0.174114i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 20.0040 | − | 34.6479i | 0.779243 | − | 1.34969i | −0.153135 | − | 0.988205i | \(-0.548937\pi\) |
0.932378 | − | 0.361484i | \(-0.117730\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 38.3302 | − | 10.2705i | 1.49087 | − | 0.399478i | 0.580841 | − | 0.814017i | \(-0.302724\pi\) |
0.910032 | + | 0.414539i | \(0.136057\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −8.84491 | − | 5.10661i | −0.343508 | − | 0.198324i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 6.39501i | 0.247988i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 39.6326i | 1.53458i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −11.0403 | − | 6.37411i | −0.426842 | − | 0.246437i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −21.5824 | + | 5.78299i | −0.833180 | + | 0.223250i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.53886 | + | 16.5218i | −0.367696 | + | 0.636868i | −0.989205 | − | 0.146539i | \(-0.953187\pi\) |
0.621509 | + | 0.783407i | \(0.286520\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −27.6713 | + | 15.9760i | −1.06507 | + | 0.614917i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 6.71399i | − | 0.258040i | −0.991642 | − | 0.129020i | \(-0.958817\pi\) | ||
0.991642 | − | 0.129020i | \(-0.0411831\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.98776 | + | 0.800569i | −0.114660 | + | 0.0307230i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −16.1351 | + | 60.2170i | −0.618298 | + | 2.30752i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.21292 | + | 26.9190i | −0.275995 | + | 1.03003i | 0.679177 | + | 0.733975i | \(0.262337\pi\) |
−0.955172 | + | 0.296052i | \(0.904330\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.41255 | + | 23.9320i | 0.245011 | + | 0.914394i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 39.2571 | + | 67.9953i | 1.49775 | + | 2.59418i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −15.4255 | + | 15.4255i | −0.587664 | + | 0.587664i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.43551 | + | 2.48638i | 0.0546096 | + | 0.0945865i | 0.892038 | − | 0.451961i | \(-0.149275\pi\) |
−0.837428 | + | 0.546547i | \(0.815942\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 53.6347i | 2.03742i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −13.2371 | + | 13.2371i | −0.502111 | + | 0.502111i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.12432 | + | 6.12432i | 0.231975 | + | 0.231975i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 78.5196 | + | 45.3333i | 2.96988 | + | 1.71466i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.31685 | − | 1.42465i | −0.200815 | − | 0.0538082i | 0.157010 | − | 0.987597i | \(-0.449815\pi\) |
−0.357824 | + | 0.933789i | \(0.616481\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.0388227 | + | 14.6735i | 0.00146423 | + | 0.553423i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.17489 | − | 23.0450i | 0.232560 | − | 0.867925i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −7.08931 | + | 12.2790i | −0.266621 | + | 0.461801i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.6964 | − | 12.6964i | 0.476822 | − | 0.476822i | −0.427292 | − | 0.904114i | \(-0.640532\pi\) |
0.904114 | + | 0.427292i | \(0.140532\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −32.0576 | − | 32.0576i | −1.20225 | − | 1.20225i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 44.3125 | 1.65952 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 18.3652 | − | 10.6031i | 0.686819 | − | 0.396535i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 12.5217 | + | 12.5217i | 0.467632 | + | 0.467632i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −2.76653 | + | 1.59726i | −0.103174 | + | 0.0595676i | −0.550699 | − | 0.834704i | \(-0.685639\pi\) |
0.447525 | + | 0.894271i | \(0.352306\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.41059 | − | 1.18181i | 0.164259 | − | 0.0440131i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −56.5297 | − | 15.1471i | −2.10236 | − | 0.563326i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 14.3092 | + | 3.83415i | 0.531431 | + | 0.142397i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.26607 | − | 19.6532i | −0.195308 | − | 0.728898i | −0.992187 | − | 0.124759i | \(-0.960184\pi\) |
0.796879 | − | 0.604138i | \(-0.206483\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.96551 | −0.0727965 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.68753 | − | 9.85110i | −0.210361 | − | 0.364356i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28.5519 | + | 16.4844i | 1.05459 | + | 0.608866i | 0.923930 | − | 0.382561i | \(-0.124958\pi\) |
0.130657 | + | 0.991428i | \(0.458291\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 4.61990 | + | 17.2417i | 0.170408 | + | 0.635970i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 27.1723 | − | 47.0638i | 1.00091 | − | 1.73362i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −40.5426 | −1.49139 | −0.745693 | − | 0.666290i | \(-0.767881\pi\) | ||||
−0.745693 | + | 0.666290i | \(0.767881\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 23.6986 | 0.870588 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.50095 | + | 7.79588i | −0.165124 | + | 0.286003i | −0.936699 | − | 0.350135i | \(-0.886136\pi\) |
0.771575 | + | 0.636138i | \(0.219469\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.71602 | − | 21.3325i | −0.209419 | − | 0.781562i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −32.8117 | − | 18.9438i | −1.20052 | − | 0.693118i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 12.6873 | + | 21.9750i | 0.463583 | + | 0.802950i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.3370 | −0.450185 | −0.225092 | − | 0.974337i | \(-0.572268\pi\) | ||||
−0.225092 | + | 0.974337i | \(0.572268\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 19.7264 | + | 73.6198i | 0.718869 | + | 2.68286i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 6.20547 | + | 1.66275i | 0.225840 | + | 0.0605137i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.6200 | − | 11.4200i | −1.54905 | − | 0.415067i | −0.619874 | − | 0.784701i | \(-0.712816\pi\) |
−0.929177 | + | 0.369634i | \(0.879483\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −100.614 | + | 26.9593i | −3.65204 | + | 0.978562i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −15.5736 | + | 8.99141i | −0.564542 | + | 0.325938i | −0.754966 | − | 0.655763i | \(-0.772347\pi\) |
0.190425 | + | 0.981702i | \(0.439014\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 18.3766 | + | 18.3766i | 0.665276 | + | 0.665276i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.99640 | + | 5.19407i | −0.325266 | + | 0.187792i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 33.1059 | 1.19538 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.8686 | − | 12.8686i | −0.464055 | − | 0.464055i | 0.435927 | − | 0.899982i | \(-0.356421\pi\) |
−0.899982 | + | 0.435927i | \(0.856421\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −30.7233 | + | 30.7233i | −1.10647 | + | 1.10647i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −6.96009 | + | 12.0552i | −0.250337 | + | 0.433597i | −0.963619 | − | 0.267281i | \(-0.913875\pi\) |
0.713282 | + | 0.700878i | \(0.247208\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.28689 | − | 15.9989i | 0.153990 | − | 0.574698i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −8.79826 | − | 32.4914i | −0.315636 | − | 1.16562i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −19.4122 | − | 5.20149i | −0.695516 | − | 0.186363i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −22.9402 | − | 13.2446i | −0.820866 | − | 0.473927i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −43.4797 | − | 43.4797i | −1.55384 | − | 1.55384i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 25.2566 | − | 25.2566i | 0.901447 | − | 0.901447i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.8890i | 0.566383i | 0.959063 | + | 0.283192i | \(0.0913933\pi\) | ||||
−0.959063 | + | 0.283192i | \(0.908607\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.17575 | − | 2.03645i | −0.0418577 | − | 0.0724997i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 20.8620 | − | 20.8620i | 0.741767 | − | 0.741767i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.82104 | − | 13.5464i | −0.277733 | − | 0.481048i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 8.31499 | + | 31.0319i | 0.294902 | + | 1.10059i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 5.41293 | − | 20.2013i | 0.191736 | − | 0.715568i | −0.801352 | − | 0.598193i | \(-0.795886\pi\) |
0.993088 | − | 0.117375i | \(-0.0374478\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.38181 | + | 5.15700i | −0.0488851 | + | 0.182442i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −36.5381 | + | 9.79036i | −1.29101 | + | 0.345925i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.00488i | 0.211908i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 17.0412 | − | 9.83876i | 0.600624 | − | 0.346771i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −35.7306 | + | 61.8872i | −1.25778 | + | 2.17853i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 18.1514 | − | 4.86365i | 0.638168 | − | 0.170997i | 0.0747947 | − | 0.997199i | \(-0.476170\pi\) |
0.563374 | + | 0.826202i | \(0.309503\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.60001 | + | 2.65582i | 0.161528 | + | 0.0932584i | 0.578585 | − | 0.815622i | \(-0.303605\pi\) |
−0.417057 | + | 0.908880i | \(0.636938\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 36.7146i | 1.28764i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − | 31.2690i | − | 1.09531i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 22.8583 | + | 13.1972i | 0.799710 | + | 0.461713i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −36.2684 | + | 9.71808i | −1.26732 | + | 0.339577i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −6.72579 | + | 11.6494i | −0.234732 | + | 0.406567i | −0.959195 | − | 0.282746i | \(-0.908754\pi\) |
0.724463 | + | 0.689314i | \(0.242088\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −18.5474 | + | 10.7083i | −0.646521 | + | 0.373269i | −0.787122 | − | 0.616797i | \(-0.788430\pi\) |
0.140601 | + | 0.990066i | \(0.455096\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 38.9343i | 1.35552i | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −31.5309 | + | 8.44868i | −1.09644 | + | 0.293790i | −0.761313 | − | 0.648384i | \(-0.775445\pi\) |
−0.335124 | + | 0.942174i | \(0.608778\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.8338 | − | 44.1642i | 0.411004 | − | 1.53389i | −0.381704 | − | 0.924285i | \(-0.624663\pi\) |
0.792707 | − | 0.609602i | \(-0.208671\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 25.1823 | − | 93.9815i | 0.873563 | − | 3.26018i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.03384 | − | 3.85834i | −0.0358204 | − | 0.133684i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.772262 | − | 1.33760i | −0.0267252 | − | 0.0462895i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −48.6140 | + | 48.6140i | −1.68034 | + | 1.68034i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −20.6049 | − | 35.6888i | −0.711362 | − | 1.23211i | −0.964346 | − | 0.264644i | \(-0.914746\pi\) |
0.252985 | − | 0.967470i | \(-0.418588\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 0.491417i | − | 0.0169454i | ||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.441325 | − | 0.441325i | 0.0152000 | − | 0.0152000i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −3.21577 | − | 3.21577i | −0.110626 | − | 0.110626i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.3206 | + | 8.26798i | 0.492060 | + | 0.284091i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −41.8910 | − | 11.2247i | −1.43770 | − | 0.385230i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 39.0419 | − | 22.6788i | 1.33834 | − | 0.777418i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.01442 | + | 18.7141i | −0.171691 | + | 0.640758i | 0.825401 | + | 0.564547i | \(0.190949\pi\) |
−0.997092 | + | 0.0762111i | \(0.975718\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.0522 | − | 20.8751i | 0.412178 | − | 0.713913i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 32.4869 | − | 32.4869i | 1.10973 | − | 1.10973i | 0.116546 | − | 0.993185i | \(-0.462818\pi\) |
0.993185 | − | 0.116546i | \(-0.0371821\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.99636 | + | 7.99636i | 0.272832 | + | 0.272832i | 0.830239 | − | 0.557407i | \(-0.188204\pi\) |
−0.557407 | + | 0.830239i | \(0.688204\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 46.1031 | 1.57119 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −11.1398 | + | 6.43156i | −0.379203 | + | 0.218933i | −0.677471 | − | 0.735549i | \(-0.736924\pi\) |
0.298269 | + | 0.954482i | \(0.403591\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.7597 | + | 10.7597i | 0.365841 | + | 0.365841i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −42.9332 | + | 24.7875i | −1.45809 | + | 0.841828i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −29.4610 | + | 7.89406i | −0.999397 | + | 0.267788i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 36.7484 | + | 9.84671i | 1.24517 | + | 0.333643i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 11.2617 | + | 3.01755i | 0.381149 | + | 0.102129i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −5.33426 | − | 19.9077i | −0.180331 | − | 0.673004i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.5818 | 0.728765 | 0.364383 | − | 0.931249i | \(-0.381280\pi\) | ||||
0.364383 | + | 0.931249i | \(0.381280\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −8.21136 | − | 14.2225i | −0.276962 | − | 0.479713i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.8709 | − | 8.58569i | −0.501012 | − | 0.289259i | 0.228119 | − | 0.973633i | \(-0.426742\pi\) |
−0.729131 | + | 0.684374i | \(0.760076\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.53404 | − | 5.72511i | −0.0516245 | − | 0.192665i | 0.935298 | − | 0.353861i | \(-0.115131\pi\) |
−0.986922 | + | 0.161196i | \(0.948465\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 24.3774 | − | 42.2229i | 0.819437 | − | 1.41931i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −9.47818 | −0.318246 | −0.159123 | − | 0.987259i | \(-0.550867\pi\) | ||||
−0.159123 | + | 0.987259i | \(0.550867\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −32.2719 | −1.08237 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 35.5303 | − | 61.5402i | 1.19031 | − | 2.06168i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3.20634 | − | 11.9662i | −0.107296 | − | 0.400434i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.70437 | + | 0.984020i | 0.0569709 | + | 0.0328922i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −36.4604 | − | 63.1512i | −1.21738 | − | 2.10856i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 31.8750 | 1.06309 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.86072 | − | 6.94431i | −0.0619897 | − | 0.231349i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −58.4865 | − | 15.6714i | −1.94631 | − | 0.521512i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 23.5188 | + | 6.30183i | 0.781790 | + | 0.209480i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.8609 | − | 4.24992i | 0.526653 | − | 0.141116i | 0.0143105 | − | 0.999898i | \(-0.495445\pi\) |
0.512342 | + | 0.858781i | \(0.328778\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 46.2829 | − | 26.7214i | 1.53511 | − | 0.886294i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 29.1197 | + | 29.1197i | 0.964780 | + | 0.964780i | 0.999401 | − | 0.0346208i | \(-0.0110224\pi\) |
−0.0346208 | + | 0.999401i | \(0.511022\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −22.0743 | + | 12.7446i | −0.730552 | + | 0.421785i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −23.0360 | −0.761545 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 16.7993 | + | 16.7993i | 0.554761 | + | 0.554761i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.834279 | − | 0.834279i | 0.0275203 | − | 0.0275203i | −0.693213 | − | 0.720733i | \(-0.743805\pi\) |
0.720733 | + | 0.693213i | \(0.243805\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 20.1738 | − | 34.9421i | 0.664751 | − | 1.15138i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 4.79956 | − | 17.9122i | 0.157980 | − | 0.589588i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.41110 | − | 16.2899i | −0.145036 | − | 0.535610i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −16.6247 | − | 4.45457i | −0.546026 | − | 0.146307i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 32.9911 | + | 19.0474i | 1.08240 | + | 0.624925i | 0.931543 | − | 0.363631i | \(-0.118463\pi\) |
0.150858 | + | 0.988555i | \(0.451796\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.55392 | + | 6.55392i | 0.214796 | + | 0.214796i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 23.5729 | − | 23.5729i | 0.771742 | − | 0.771742i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 6.98870i | 0.228555i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.18754 | + | 10.7171i | 0.202138 | + | 0.350113i | 0.949217 | − | 0.314622i | \(-0.101878\pi\) |
−0.747079 | + | 0.664735i | \(0.768544\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.20829 | − | 4.20829i | 0.137332 | − | 0.137332i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −17.6865 | − | 30.6339i | −0.576564 | − | 0.998637i | −0.995870 | − | 0.0907926i | \(-0.971060\pi\) |
0.419306 | − | 0.907845i | \(-0.362273\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 16.0051 | + | 59.7317i | 0.521196 | + | 1.94513i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −7.90162 | + | 29.4892i | −0.257040 | + | 0.959285i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 7.27244 | − | 27.1411i | 0.236323 | − | 0.881968i | −0.741225 | − | 0.671256i | \(-0.765755\pi\) |
0.977548 | − | 0.210712i | \(-0.0675783\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.06056 | + | 1.08802i | −0.131811 | + | 0.0353188i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 16.1266i | − | 0.522941i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 5.43084 | − | 3.13550i | 0.175922 | − | 0.101569i | −0.409453 | − | 0.912331i | \(-0.634280\pi\) |
0.585375 | + | 0.810762i | \(0.300947\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.79526 | + | 13.5018i | −0.252249 | + | 0.436907i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −72.3736 | + | 19.3924i | −2.33951 | + | 0.626869i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −25.5590 | − | 14.7565i | −0.825342 | − | 0.476512i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 4.63887i | − | 0.149641i | ||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 95.6434i | − | 3.08206i | ||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 11.6437 | + | 6.72248i | 0.374823 | + | 0.216404i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 56.2752 | − | 15.0789i | 1.80969 | − | 0.484905i | 0.814267 | − | 0.580490i | \(-0.197139\pi\) |
0.995421 | + | 0.0955853i | \(0.0304723\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.90503 | + | 6.76370i | −0.125448 | + | 0.217281i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −15.7082 | + | 9.06912i | −0.504099 | + | 0.291042i | −0.730405 | − | 0.683014i | \(-0.760669\pi\) |
0.226305 | + | 0.974056i | \(0.427335\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 22.2990i | − | 0.714872i | ||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −26.3278 | + | 7.05452i | −0.843165 | + | 0.225925i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 5.32062 | − | 19.8568i | 0.170222 | − | 0.635276i | −0.827095 | − | 0.562063i | \(-0.810008\pi\) |
0.997316 | − | 0.0732132i | \(-0.0233254\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.58654 | + | 24.5813i | −0.210507 | + | 0.785621i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −25.3531 | − | 94.6192i | −0.809463 | − | 3.02096i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1.43413 | − | 2.48399i | −0.0457416 | − | 0.0792268i | 0.842248 | − | 0.539090i | \(-0.181232\pi\) |
−0.887990 | + | 0.459863i | \(0.847898\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.3172 | + | 11.3172i | −0.360595 | + | 0.360595i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 14.2096 | + | 24.6117i | 0.452296 | + | 0.783399i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 81.2161i | − | 2.58252i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.33954 | + | 6.33954i | −0.201382 | + | 0.201382i | −0.800592 | − | 0.599210i | \(-0.795482\pi\) |
0.599210 | + | 0.800592i | \(0.295482\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 15.2340 | + | 15.2340i | 0.483436 | + | 0.483436i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.77455 | + | 1.60189i | 0.0879591 | + | 0.0507832i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 33.4847 | + | 8.97220i | 1.06047 | + | 0.284153i | 0.746573 | − | 0.665304i | \(-0.231698\pi\) |
0.313899 | + | 0.949456i | \(0.398365\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −17.9515 | + | 67.7119i | −0.567959 | + | 2.14231i |
(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 | 592.2.be.f.399.5 | yes | 20 | |
4.3 | odd | 2 | 592.2.be.e.399.1 | yes | 20 | ||
37.23 | odd | 12 | 592.2.be.e.319.1 | ✓ | 20 | ||
148.23 | even | 12 | inner | 592.2.be.f.319.5 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
592.2.be.e.319.1 | ✓ | 20 | 37.23 | odd | 12 | ||
592.2.be.e.399.1 | yes | 20 | 4.3 | odd | 2 | ||
592.2.be.f.319.5 | yes | 20 | 148.23 | even | 12 | inner | |
592.2.be.f.399.5 | yes | 20 | 1.1 | even | 1 | trivial |