Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(289,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bo (of order \(9\), degree \(6\), not 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 481.1 | ||
Root | \(0.939693 + 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.481 |
Dual form | 912.2.bo.c.529.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | 0.939693 | + | 0.342020i | 0.542532 | + | 0.197465i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.0812519 | − | 0.460802i | −0.0363370 | − | 0.206077i | 0.961234 | − | 0.275734i | \(-0.0889208\pi\) |
−0.997571 | + | 0.0696565i | \(0.977810\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.20574 | + | 3.82045i | −0.833690 | + | 1.44399i | 0.0614021 | + | 0.998113i | \(0.480443\pi\) |
−0.895092 | + | 0.445881i | \(0.852891\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.766044 | + | 0.642788i | 0.255348 | + | 0.214263i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.76604 | − | 4.79093i | −0.833994 | − | 1.44452i | −0.894847 | − | 0.446373i | \(-0.852716\pi\) |
0.0608533 | − | 0.998147i | \(-0.480618\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.62449 | + | 2.04715i | −1.55995 | + | 0.567776i | −0.970725 | − | 0.240192i | \(-0.922790\pi\) |
−0.589226 | + | 0.807968i | \(0.700567\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.0812519 | − | 0.460802i | 0.0209792 | − | 0.118979i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.33022 | + | 2.79439i | −0.807698 | + | 0.677739i | −0.950057 | − | 0.312076i | \(-0.898976\pi\) |
0.142360 | + | 0.989815i | \(0.454531\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.34002 | − | 0.405223i | −0.995669 | − | 0.0929645i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.37939 | + | 2.83564i | −0.737442 | + | 0.618788i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.549163 | − | 3.11446i | 0.114508 | − | 0.649409i | −0.872484 | − | 0.488643i | \(-0.837492\pi\) |
0.986992 | − | 0.160767i | \(-0.0513967\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.49273 | − | 1.63522i | 0.898545 | − | 0.327044i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.500000 | + | 0.866025i | 0.0962250 | + | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.15657 | − | 0.970481i | −0.214770 | − | 0.180214i | 0.529055 | − | 0.848587i | \(-0.322546\pi\) |
−0.743826 | + | 0.668374i | \(0.766991\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.09240 | + | 1.89209i | −0.196200 | + | 0.339829i | −0.947293 | − | 0.320368i | \(-0.896194\pi\) |
0.751093 | + | 0.660196i | \(0.229527\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.960637 | − | 5.44804i | −0.167225 | − | 0.948383i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.93969 | + | 0.705990i | 0.327868 | + | 0.119334i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.75877 | −0.453539 | −0.226770 | − | 0.973948i | \(-0.572816\pi\) | ||||
−0.226770 | + | 0.973948i | \(0.572816\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.98545 | −0.958439 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.84002 | + | 0.669713i | 0.287363 | + | 0.104592i | 0.481680 | − | 0.876347i | \(-0.340027\pi\) |
−0.194317 | + | 0.980939i | \(0.562249\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.624485 | − | 3.54163i | −0.0952331 | − | 0.540094i | −0.994676 | − | 0.103055i | \(-0.967138\pi\) |
0.899443 | − | 0.437039i | \(-0.143973\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.233956 | − | 0.405223i | 0.0348760 | − | 0.0604071i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.08512 | + | 5.94512i | 1.03347 | + | 0.867185i | 0.991260 | − | 0.131923i | \(-0.0421153\pi\) |
0.0422114 | + | 0.999109i | \(0.486560\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.23055 | − | 10.7916i | −0.890079 | − | 1.54166i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.08512 | + | 1.48686i | −0.572032 | + | 0.208202i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.464508 | + | 2.63435i | −0.0638050 | + | 0.361856i | 0.936143 | + | 0.351621i | \(0.114369\pi\) |
−0.999948 | + | 0.0102357i | \(0.996742\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.98293 | + | 1.66387i | −0.267378 | + | 0.224357i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.93969 | − | 1.86516i | −0.521825 | − | 0.247046i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.01707 | + | 0.853427i | −0.132412 | + | 0.111107i | −0.706588 | − | 0.707625i | \(-0.749767\pi\) |
0.574177 | + | 0.818731i | \(0.305322\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.15270 | + | 6.53731i | −0.147589 | + | 0.837016i | 0.817664 | + | 0.575696i | \(0.195269\pi\) |
−0.965252 | + | 0.261320i | \(0.915842\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.14543 | + | 1.50881i | −0.522275 | + | 0.190093i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.40033 | + | 2.42544i | 0.173690 | + | 0.300839i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.90760 | + | 1.60067i | 0.233051 | + | 0.195553i | 0.751833 | − | 0.659354i | \(-0.229170\pi\) |
−0.518782 | + | 0.854907i | \(0.673614\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.58125 | − | 2.73881i | 0.190360 | − | 0.329714i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.31908 | + | 7.48086i | 0.156546 | + | 0.887815i | 0.957359 | + | 0.288901i | \(0.0932898\pi\) |
−0.800813 | + | 0.598914i | \(0.795599\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.97431 | − | 1.08256i | −0.348116 | − | 0.126704i | 0.162043 | − | 0.986784i | \(-0.448192\pi\) |
−0.510160 | + | 0.860080i | \(0.670414\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.78106 | 0.552069 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 24.4047 | 2.78117 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.18732 | + | 0.432149i | 0.133584 | + | 0.0486205i | 0.407947 | − | 0.913006i | \(-0.366245\pi\) |
−0.274363 | + | 0.961626i | \(0.588467\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.173648 | + | 0.984808i | 0.0192942 | + | 0.109423i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −8.96838 | + | 15.5337i | −0.984407 | + | 1.70504i | −0.339867 | + | 0.940474i | \(0.610382\pi\) |
−0.644541 | + | 0.764570i | \(0.722951\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.55825 | + | 1.30753i | 0.169016 | + | 0.141821i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.754900 | − | 1.30753i | −0.0809338 | − | 0.140181i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −11.7280 | + | 4.26865i | −1.24317 | + | 0.452476i | −0.878088 | − | 0.478500i | \(-0.841181\pi\) |
−0.365081 | + | 0.930976i | \(0.618959\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.58512 | − | 26.0035i | 0.480651 | − | 2.72591i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.67365 | + | 1.40436i | −0.173549 | + | 0.145625i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.165907 | + | 2.03282i | 0.0170217 | + | 0.208563i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.36618 | + | 5.34186i | −0.646388 | + | 0.542384i | −0.905972 | − | 0.423337i | \(-0.860859\pi\) |
0.259585 | + | 0.965720i | \(0.416414\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.960637 | − | 5.44804i | 0.0965477 | − | 0.547549i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.16637 | + | 0.424525i | −0.116059 | + | 0.0422419i | −0.399397 | − | 0.916778i | \(-0.630780\pi\) |
0.283338 | + | 0.959020i | \(0.408558\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.69207 | + | 2.93075i | 0.166724 | + | 0.288775i | 0.937266 | − | 0.348614i | \(-0.113348\pi\) |
−0.770542 | + | 0.637389i | \(0.780014\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.58125 | + | 1.32683i | 0.154314 | + | 0.129485i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.90807 | − | 13.6972i | 0.764502 | − | 1.32416i | −0.176007 | − | 0.984389i | \(-0.556318\pi\) |
0.940509 | − | 0.339768i | \(-0.110348\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.00980 | − | 5.72686i | −0.0967213 | − | 0.548534i | −0.994206 | − | 0.107489i | \(-0.965719\pi\) |
0.897485 | − | 0.441045i | \(-0.145392\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.59240 | − | 0.943555i | −0.246059 | − | 0.0895583i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.1361 | 1.14167 | 0.570834 | − | 0.821066i | \(-0.306620\pi\) | ||||
0.570834 | + | 0.821066i | \(0.306620\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.47977 | −0.137989 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5.62449 | − | 2.04715i | −0.519984 | − | 0.189259i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.33022 | − | 18.8866i | −0.305281 | − | 1.73133i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.80200 | + | 16.9776i | −0.891091 | + | 1.54342i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.50000 | + | 1.25865i | 0.135250 | + | 0.113489i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.28833 | − | 3.96351i | −0.204675 | − | 0.354507i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.426022 | − | 0.155059i | 0.0378033 | − | 0.0137593i | −0.323049 | − | 0.946382i | \(-0.604708\pi\) |
0.360853 | + | 0.932623i | \(0.382486\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.624485 | − | 3.54163i | 0.0549829 | − | 0.311823i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.27972 | − | 6.94751i | 0.723402 | − | 0.607006i | −0.204922 | − | 0.978778i | \(-0.565694\pi\) |
0.928324 | + | 0.371772i | \(0.121250\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.1211 | − | 15.6870i | 0.964320 | − | 1.36024i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.358441 | − | 0.300767i | 0.0308497 | − | 0.0258859i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.90508 | − | 10.8042i | 0.162762 | − | 0.923068i | −0.788580 | − | 0.614932i | \(-0.789184\pi\) |
0.951342 | − | 0.308136i | \(-0.0997053\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.6493 | + | 4.60397i | −1.07290 | + | 0.390504i | −0.817260 | − | 0.576269i | \(-0.804508\pi\) |
−0.255639 | + | 0.966772i | \(0.582286\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.62449 | + | 8.00984i | 0.389452 | + | 0.674550i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 25.3653 | + | 21.2840i | 2.12115 | + | 1.77986i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.353226 | + | 0.611806i | −0.0293338 | + | 0.0508077i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.16385 | − | 12.2718i | −0.178471 | − | 1.01216i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.69594 | − | 2.80109i | −0.630476 | − | 0.229474i | 0.00696263 | − | 0.999976i | \(-0.497784\pi\) |
−0.637438 | + | 0.770501i | \(0.720006\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −21.1411 | −1.72044 | −0.860221 | − | 0.509921i | \(-0.829675\pi\) | ||||
−0.860221 | + | 0.509921i | \(0.829675\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.34730 | −0.351458 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.960637 | + | 0.349643i | 0.0771602 | + | 0.0280840i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.41013 | + | 19.3398i | 0.272158 | + | 1.54348i | 0.747847 | + | 0.663871i | \(0.231088\pi\) |
−0.475689 | + | 0.879614i | \(0.657801\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.33750 | + | 2.31661i | −0.106070 | + | 0.183719i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.6873 | + | 8.96773i | 0.842279 | + | 0.706756i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.27584 | + | 3.94188i | 0.178258 | + | 0.308752i | 0.941284 | − | 0.337616i | \(-0.109621\pi\) |
−0.763026 | + | 0.646368i | \(0.776287\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.43242 | + | 0.885328i | −0.189364 | + | 0.0689227i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.32383 | + | 18.8504i | −0.257205 | + | 1.45868i | 0.533142 | + | 0.846026i | \(0.321011\pi\) |
−0.790348 | + | 0.612658i | \(0.790100\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 17.4855 | − | 14.6720i | 1.34503 | − | 1.12862i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.06418 | − | 3.10013i | −0.234324 | − | 0.237073i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.25284 | − | 3.56856i | 0.323337 | − | 0.271312i | −0.466641 | − | 0.884447i | \(-0.654536\pi\) |
0.789979 | + | 0.613134i | \(0.210092\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.66250 | + | 20.7711i | −0.276859 | + | 1.57015i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.24763 | + | 0.454099i | −0.0937773 | + | 0.0341322i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.17499 | − | 7.23130i | −0.312054 | − | 0.540493i | 0.666753 | − | 0.745279i | \(-0.267684\pi\) |
−0.978807 | + | 0.204786i | \(0.934350\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.64337 | − | 8.09175i | −0.716786 | − | 0.601455i | 0.209708 | − | 0.977764i | \(-0.432749\pi\) |
−0.926494 | + | 0.376309i | \(0.877193\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.31908 | + | 5.74881i | −0.245353 | + | 0.424964i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.224155 | + | 1.27125i | 0.0164802 | + | 0.0934640i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 22.5993 | + | 8.22546i | 1.65262 | + | 0.601505i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −4.41147 | −0.320888 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.71688 | 0.486016 | 0.243008 | − | 0.970024i | \(-0.421866\pi\) | ||||
0.243008 | + | 0.970024i | \(0.421866\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.7763 | + | 4.28623i | 0.847677 | + | 0.308529i | 0.729093 | − | 0.684415i | \(-0.239942\pi\) |
0.118584 | + | 0.992944i | \(0.462164\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.486329 | + | 2.75811i | 0.0348268 | + | 0.197512i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.03596 | − | 3.52638i | 0.145056 | − | 0.251245i | −0.784338 | − | 0.620334i | \(-0.786997\pi\) |
0.929394 | + | 0.369089i | \(0.120330\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.48158 | + | 4.59959i | 0.388579 | + | 0.326057i | 0.816059 | − | 0.577968i | \(-0.196154\pi\) |
−0.427480 | + | 0.904025i | \(0.640599\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.24510 | + | 2.15658i | 0.0878226 | + | 0.152113i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 6.25877 | − | 2.27801i | 0.439280 | − | 0.159885i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.159100 | − | 0.902302i | 0.0111120 | − | 0.0630195i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.42262 | − | 2.03282i | 0.168384 | − | 0.141291i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 10.0633 | + | 21.9136i | 0.696093 | + | 1.51580i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.03209 | − | 1.70513i | 0.139895 | − | 0.117386i | −0.570155 | − | 0.821537i | \(-0.693117\pi\) |
0.710050 | + | 0.704151i | \(0.248672\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.31908 | + | 7.48086i | −0.0903817 | + | 0.512580i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.58125 | + | 0.575529i | −0.107840 | + | 0.0392507i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.81908 | − | 8.34689i | −0.327140 | − | 0.566624i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.42468 | − | 2.03455i | −0.163845 | − | 0.137482i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 13.0103 | − | 22.5344i | 0.875165 | − | 1.51583i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.42246 | − | 13.7384i | −0.162220 | − | 0.919993i | −0.951885 | − | 0.306456i | \(-0.900857\pi\) |
0.789665 | − | 0.613538i | \(-0.210254\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.49273 | + | 1.63522i | 0.299515 | + | 0.109015i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 23.6117 | 1.56717 | 0.783583 | − | 0.621287i | \(-0.213390\pi\) | ||||
0.783583 | + | 0.621287i | \(0.213390\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.61081 | 0.569019 | 0.284509 | − | 0.958673i | \(-0.408169\pi\) | ||||
0.284509 | + | 0.958673i | \(0.408169\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 22.9329 | + | 8.34689i | 1.50887 | + | 0.549185i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.68139 | − | 15.2069i | −0.175664 | − | 0.996238i | −0.937375 | − | 0.348322i | \(-0.886752\pi\) |
0.761711 | − | 0.647916i | \(-0.224359\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.16385 | − | 3.74789i | 0.141154 | − | 0.244486i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.967911 | + | 0.812174i | 0.0628726 | + | 0.0527564i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.87939 | + | 6.71929i | 0.250937 | + | 0.434635i | 0.963784 | − | 0.266684i | \(-0.0859281\pi\) |
−0.712847 | + | 0.701319i | \(0.752595\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 12.4846 | − | 4.54401i | 0.804202 | − | 0.292706i | 0.0929755 | − | 0.995668i | \(-0.470362\pi\) |
0.711227 | + | 0.702963i | \(0.248140\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.173648 | + | 0.984808i | −0.0111395 | + | 0.0631754i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.46657 | + | 3.74789i | −0.285358 | + | 0.239444i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 25.2399 | − | 6.60549i | 1.60598 | − | 0.420297i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −13.7404 | + | 11.5295i | −0.870759 | + | 0.730654i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.06506 | − | 17.3828i | 0.193465 | − | 1.09719i | −0.721124 | − | 0.692806i | \(-0.756374\pi\) |
0.914588 | − | 0.404386i | \(-0.132515\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −16.4402 | + | 5.98373i | −1.03358 | + | 0.376194i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.01707 | + | 1.76162i | 0.0636917 | + | 0.110317i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.05303 | + | 5.07910i | 0.377578 | + | 0.316825i | 0.811751 | − | 0.584004i | \(-0.198515\pi\) |
−0.434173 | + | 0.900830i | \(0.642959\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.08512 | − | 10.5397i | 0.378111 | − | 0.654908i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.262174 | − | 1.48686i | −0.0162282 | − | 0.0920345i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −23.8405 | − | 8.67723i | −1.47007 | − | 0.535061i | −0.521949 | − | 0.852977i | \(-0.674795\pi\) |
−0.948119 | + | 0.317916i | \(0.897017\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.25166 | 0.0768888 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.4807 | −0.763807 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −18.9538 | − | 6.89863i | −1.15564 | − | 0.420617i | −0.308099 | − | 0.951354i | \(-0.599693\pi\) |
−0.847536 | + | 0.530737i | \(0.821915\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.56165 | − | 20.1991i | −0.216355 | − | 1.22701i | −0.878540 | − | 0.477669i | \(-0.841482\pi\) |
0.662185 | − | 0.749341i | \(-0.269629\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 13.2023 | − | 22.8671i | 0.799042 | − | 1.38398i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −20.2613 | − | 17.0012i | −1.22180 | − | 1.02521i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.56758 | − | 7.91128i | −0.274439 | − | 0.475343i | 0.695554 | − | 0.718474i | \(-0.255159\pi\) |
−0.969994 | + | 0.243131i | \(0.921826\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.05303 | + | 0.747243i | −0.122912 | + | 0.0447363i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.595800 | + | 3.37895i | −0.0355424 | + | 0.201571i | −0.997408 | − | 0.0719508i | \(-0.977078\pi\) |
0.961866 | + | 0.273522i | \(0.0881886\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.61200 | + | 7.22632i | −0.511930 | + | 0.429560i | −0.861808 | − | 0.507235i | \(-0.830668\pi\) |
0.349878 | + | 0.936795i | \(0.386223\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.539363 | + | 1.96697i | −0.0319491 | + | 0.116513i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −6.61721 | + | 5.55250i | −0.390602 | + | 0.327754i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.329755 | − | 1.87014i | 0.0193974 | − | 0.110008i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.80928 | + | 2.84234i | −0.457788 | + | 0.166621i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.26604 | + | 12.5852i | 0.424487 | + | 0.735233i | 0.996372 | − | 0.0851007i | \(-0.0271212\pi\) |
−0.571886 | + | 0.820333i | \(0.693788\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.475900 | + | 0.399328i | 0.0277080 | + | 0.0232498i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.76604 | − | 4.79093i | 0.160502 | − | 0.277998i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.28699 | + | 18.6414i | 0.190091 | + | 1.07806i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 14.9081 | + | 5.42609i | 0.859287 | + | 0.312755i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.24123 | −0.0713068 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.10607 | 0.177853 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −24.1532 | − | 8.79104i | −1.37849 | − | 0.501731i | −0.456773 | − | 0.889583i | \(-0.650995\pi\) |
−0.921721 | + | 0.387853i | \(0.873217\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.587649 | + | 3.33272i | 0.0334302 | + | 0.189592i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.91875 | − | 5.05542i | 0.165507 | − | 0.286667i | −0.771328 | − | 0.636438i | \(-0.780407\pi\) |
0.936835 | + | 0.349771i | \(0.113741\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.6480 | − | 10.6129i | −0.714905 | − | 0.599876i | 0.211066 | − | 0.977472i | \(-0.432307\pi\) |
−0.925971 | + | 0.377596i | \(0.876751\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.03209 | + | 1.78763i | 0.0581516 | + | 0.100722i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 25.3243 | − | 9.21729i | 1.42235 | − | 0.517695i | 0.487624 | − | 0.873054i | \(-0.337864\pi\) |
0.934730 | + | 0.355359i | \(0.115641\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.45037 | + | 8.22546i | −0.0812051 | + | 0.460537i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.1159 | − | 10.1664i | 0.676242 | − | 0.567434i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 15.5856 | − | 10.7782i | 0.867205 | − | 0.599716i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −21.9217 | + | 18.3945i | −1.21600 | + | 1.02034i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.00980 | − | 5.72686i | 0.0558421 | − | 0.316696i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −38.3410 | + | 13.9550i | −2.11381 | + | 0.769362i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.2442 | + | 24.6717i | 0.782933 | + | 1.35608i | 0.930226 | + | 0.366987i | \(0.119611\pi\) |
−0.147293 | + | 0.989093i | \(0.547056\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.11334 | − | 1.77330i | −0.115810 | − | 0.0971764i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.582596 | − | 1.00909i | 0.0318306 | − | 0.0551323i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.89780 | + | 16.4343i | 0.157853 | + | 0.895231i | 0.956131 | + | 0.292941i | \(0.0946339\pi\) |
−0.798277 | + | 0.602290i | \(0.794255\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 11.4042 | + | 4.15079i | 0.619391 | + | 0.225440i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.0865 | 0.654519 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 24.0915 | 1.30082 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.39053 | − | 0.506111i | −0.0748636 | − | 0.0272481i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.25237 | + | 18.4451i | 0.174597 | + | 0.990186i | 0.938608 | + | 0.344984i | \(0.112116\pi\) |
−0.764012 | + | 0.645202i | \(0.776773\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.820422 | − | 1.42101i | 0.0439162 | − | 0.0760651i | −0.843232 | − | 0.537550i | \(-0.819350\pi\) |
0.887148 | + | 0.461485i | \(0.152683\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.58512 | − | 3.84737i | −0.244736 | − | 0.205358i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.95336 | + | 10.3115i | 0.316866 | + | 0.548827i | 0.979832 | − | 0.199822i | \(-0.0640363\pi\) |
−0.662967 | + | 0.748649i | \(0.730703\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.34002 | − | 1.21567i | 0.177270 | − | 0.0645210i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.33022 | − | 18.8866i | 0.176254 | − | 0.999586i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.75877 | + | 1.47578i | −0.0928244 | + | 0.0778889i | −0.688019 | − | 0.725693i | \(-0.741519\pi\) |
0.595195 | + | 0.803582i | \(0.297075\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.6716 | + | 3.51735i | 0.982715 | + | 0.185124i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −15.0175 | + | 12.6012i | −0.788216 | + | 0.661392i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.257178 | + | 1.45853i | −0.0134613 | + | 0.0763429i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −20.1989 | + | 7.35181i | −1.05438 | + | 0.383761i | −0.810312 | − | 0.585998i | \(-0.800703\pi\) |
−0.244063 | + | 0.969759i | \(0.578480\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.979055 | + | 1.69577i | 0.0509676 | + | 0.0882785i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −9.03983 | − | 7.58532i | −0.469325 | − | 0.393810i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.9907 | + | 24.2325i | −0.724409 | + | 1.25471i | 0.234807 | + | 0.972042i | \(0.424554\pi\) |
−0.959217 | + | 0.282672i | \(0.908779\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.794730 | − | 4.50714i | −0.0410397 | − | 0.232748i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 8.49185 | + | 3.09078i | 0.437352 | + | 0.159183i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.88981 | −0.456639 | −0.228320 | − | 0.973586i | \(-0.573323\pi\) | ||||
−0.228320 | + | 0.973586i | \(0.573323\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.453363 | 0.0232265 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −23.5069 | − | 8.55580i | −1.20114 | − | 0.437181i | −0.337521 | − | 0.941318i | \(-0.609588\pi\) |
−0.863624 | + | 0.504137i | \(0.831811\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.98293 | − | 11.2457i | −0.101059 | − | 0.573136i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.79813 | − | 3.11446i | 0.0914043 | − | 0.158317i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −17.8739 | − | 14.9980i | −0.906244 | − | 0.760429i | 0.0651569 | − | 0.997875i | \(-0.479245\pi\) |
−0.971401 | + | 0.237446i | \(0.923690\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.87417 | + | 11.9064i | 0.347642 | + | 0.602133i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 10.1566 | − | 3.69669i | 0.512331 | − | 0.186473i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.102663 | − | 0.582232i | 0.00516555 | − | 0.0292953i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.90239 | − | 2.43539i | 0.145667 | − | 0.122229i | −0.567042 | − | 0.823689i | \(-0.691912\pi\) |
0.712709 | + | 0.701460i | \(0.247468\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 15.8157 | − | 10.9373i | 0.791774 | − | 0.547552i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −16.7456 | + | 14.0512i | −0.836234 | + | 0.701683i | −0.956713 | − | 0.291032i | \(-0.906001\pi\) |
0.120479 | + | 0.992716i | \(0.461557\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.27079 | − | 12.8783i | 0.113116 | − | 0.641514i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.439693 | − | 0.160035i | 0.0218485 | − | 0.00795220i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.63088 | + | 13.2171i | 0.378249 | + | 0.655146i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.06418 | − | 5.08845i | −0.299854 | − | 0.251608i | 0.480429 | − | 0.877033i | \(-0.340481\pi\) |
−0.780284 | + | 0.625426i | \(0.784925\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.48545 | − | 9.50108i | 0.270577 | − | 0.468654i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.01707 | − | 5.76811i | −0.0500469 | − | 0.283830i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.88666 | + | 2.87051i | 0.387141 | + | 0.140908i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −13.4611 | −0.659193 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.22937 | −0.304325 | −0.152162 | − | 0.988356i | \(-0.548624\pi\) | ||||
−0.152162 | + | 0.988356i | \(0.548624\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.35591 | + | 1.22145i | 0.163557 | + | 0.0595300i | 0.422501 | − | 0.906362i | \(-0.361152\pi\) |
−0.258944 | + | 0.965892i | \(0.583374\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.60607 | + | 9.10846i | 0.0780896 | + | 0.442868i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −10.3923 | + | 18.0001i | −0.504103 | + | 0.873131i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −22.4329 | − | 18.8234i | −1.08560 | − | 0.910929i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 16.5560 | + | 28.6759i | 0.799332 | + | 1.38448i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −24.2520 | + | 8.82699i | −1.16818 | + | 0.425181i | −0.852011 | − | 0.523523i | \(-0.824617\pi\) |
−0.316164 | + | 0.948704i | \(0.602395\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.53209 | − | 25.7028i | 0.217798 | − | 1.23520i | −0.658186 | − | 0.752856i | \(-0.728676\pi\) |
0.875984 | − | 0.482340i | \(-0.160213\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.541174 | + | 0.454099i | −0.0259473 | + | 0.0217724i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.64543 | + | 13.2943i | −0.174385 | + | 0.635952i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −17.3366 | + | 14.5472i | −0.827432 | + | 0.694298i | −0.954700 | − | 0.297571i | \(-0.903824\pi\) |
0.127268 | + | 0.991868i | \(0.459379\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.16385 | − | 12.2718i | 0.103040 | − | 0.584371i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 13.5432 | − | 4.92933i | 0.643458 | − | 0.234200i | 0.000379869 | − | 1.00000i | \(-0.499879\pi\) |
0.643079 | + | 0.765800i | \(0.277657\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.91993 | + | 5.05747i | 0.138418 | + | 0.239747i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.27379 | − | 5.26433i | −0.296740 | − | 0.248994i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.1361 | + | 31.4126i | −0.855895 | + | 1.48245i | 0.0199166 | + | 0.999802i | \(0.493660\pi\) |
−0.875812 | + | 0.482653i | \(0.839673\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.88103 | − | 10.6679i | −0.0885744 | − | 0.502331i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −19.8662 | − | 7.23070i | −0.933395 | − | 0.339728i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −12.3550 | −0.579213 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −40.4543 | −1.89237 | −0.946186 | − | 0.323623i | \(-0.895099\pi\) | ||||
−0.946186 | + | 0.323623i | \(0.895099\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.08512 | − | 1.48686i | −0.190677 | − | 0.0694008i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.81996 | − | 38.6779i | −0.317637 | − | 1.80141i | −0.557037 | − | 0.830488i | \(-0.688062\pi\) |
0.239400 | − | 0.970921i | \(-0.423049\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.4167 | − | 18.0422i | 0.484105 | − | 0.838494i | −0.515729 | − | 0.856752i | \(-0.672479\pi\) |
0.999833 | + | 0.0182582i | \(0.00581209\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.783119 | + | 0.657115i | 0.0363163 | + | 0.0304730i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.96198 | − | 10.3265i | −0.275888 | − | 0.477851i | 0.694471 | − | 0.719521i | \(-0.255638\pi\) |
−0.970359 | + | 0.241669i | \(0.922305\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.3229 | + | 3.75725i | −0.476669 | + | 0.173493i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.41013 | + | 19.3398i | −0.157130 | + | 0.891131i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −15.2404 | + | 12.7882i | −0.700752 | + | 0.588001i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −20.1612 | + | 5.27633i | −0.925057 | + | 0.242095i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.04916 | + | 1.71945i | −0.0938247 | + | 0.0787283i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 1.28564 | − | 7.29125i | 0.0587426 | − | 0.333146i | −0.941247 | − | 0.337719i | \(-0.890345\pi\) |
0.999990 | + | 0.00457323i | \(0.00145571\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.5167 | − | 5.64760i | 0.707499 | − | 0.257509i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.97565 | + | 12.0822i | 0.317403 | + | 0.549758i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.97881 | + | 2.49952i | 0.135261 | + | 0.113497i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.2934 | + | 19.5607i | −0.511752 | + | 0.886381i | 0.488155 | + | 0.872757i | \(0.337670\pi\) |
−0.999907 | + | 0.0136238i | \(0.995663\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.790393 | + | 4.48254i | 0.0357428 | + | 0.202707i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 15.0680 | + | 5.48432i | 0.680011 | + | 0.247504i | 0.658852 | − | 0.752272i | \(-0.271042\pi\) |
0.0211590 | + | 0.999776i | \(0.493264\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.56355 | 0.295607 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.58853 | −0.116346 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −31.4898 | − | 11.4613i | −1.41251 | − | 0.514112i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.09879 | + | 34.5880i | 0.273019 | + | 1.54837i | 0.745183 | + | 0.666860i | \(0.232362\pi\) |
−0.472164 | + | 0.881511i | \(0.656527\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.57057 | + | 16.5767i | −0.427582 | + | 0.740593i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −30.7395 | − | 25.7935i | −1.37061 | − | 1.15007i | −0.972545 | − | 0.232715i | \(-0.925239\pi\) |
−0.398061 | − | 0.917359i | \(-0.630317\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.290393 | + | 0.502975i | 0.0129223 | + | 0.0223821i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 21.4491 | − | 7.80683i | 0.952587 | − | 0.346713i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0.745100 | − | 4.22567i | 0.0330260 | − | 0.187300i | −0.963832 | − | 0.266511i | \(-0.914129\pi\) |
0.996858 | + | 0.0792114i | \(0.0252402\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.6964 | − | 8.97535i | 0.473181 | − | 0.397046i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.81908 | − | 3.96118i | −0.0803142 | − | 0.174890i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.21301 | − | 1.01784i | 0.0534517 | − | 0.0448513i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.88490 | − | 50.3888i | 0.390758 | − | 2.21610i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.21688 | − | 1.89879i | 0.228996 | − | 0.0833476i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.38532 | − | 7.59559i | −0.192124 | − | 0.332769i | 0.753830 | − | 0.657070i | \(-0.228204\pi\) |
−0.945954 | + | 0.324301i | \(0.894871\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.9800 | − | 19.2825i | −1.00484 | − | 0.843165i | −0.0171965 | − | 0.999852i | \(-0.505474\pi\) |
−0.987648 | + | 0.156687i | \(0.949919\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −10.5458 | + | 18.2658i | −0.460255 | + | 0.797184i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.64930 | − | 9.35365i | −0.0718446 | − | 0.407451i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.2147 | + | 4.44577i | 0.531072 | + | 0.193294i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.32770 | −0.0576171 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −11.7202 | −0.507657 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.95424 | − | 2.53114i | −0.300658 | − | 0.109431i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.44996 | − | 8.22313i | −0.0625704 | − | 0.354854i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −34.4680 | + | 59.7003i | −1.48464 | + | 2.57147i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.83544 | + | 3.21831i | 0.164898 | + | 0.138366i | 0.721503 | − | 0.692411i | \(-0.243452\pi\) |
−0.556605 | + | 0.830778i | \(0.687896\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −6.29426 | − | 10.9020i | −0.270113 | − | 0.467849i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.55690 | + | 0.930637i | −0.109526 | + | 0.0398641i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.35803 | + | 13.3731i | −0.100822 | + | 0.571790i | 0.891985 | + | 0.452065i | \(0.149313\pi\) |
−0.992807 | + | 0.119725i | \(0.961799\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.08512 | + | 4.26692i | −0.217028 | + | 0.182108i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.62630 | + | 4.68058i | 0.197087 | + | 0.199399i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.26991 | + | 3.58288i | −0.181575 | + | 0.152360i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.224155 | + | 1.27125i | −0.00951487 | + | 0.0539615i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 22.2961 | − | 8.11511i | 0.944715 | − | 0.343848i | 0.176689 | − | 0.984267i | \(-0.443461\pi\) |
0.768026 | + | 0.640419i | \(0.221239\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 10.7626 | + | 18.6414i | 0.455211 | + | 0.788449i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.4231 | + | 15.4588i | 0.777823 | + | 0.652671i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −7.37211 | + | 12.7689i | −0.310697 | + | 0.538144i | −0.978514 | − | 0.206183i | \(-0.933896\pi\) |
0.667816 | + | 0.744326i | \(0.267229\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.986081 | − | 5.59234i | −0.0414847 | − | 0.235272i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −4.14543 | − | 1.50881i | −0.174092 | − | 0.0633642i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 23.9668 | 1.00474 | 0.502370 | − | 0.864653i | \(-0.332462\pi\) | ||||
0.502370 | + | 0.864653i | \(0.332462\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 41.0847 | 1.71934 | 0.859671 | − | 0.510848i | \(-0.170669\pi\) | ||||
0.859671 | + | 0.510848i | \(0.170669\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.31180 | + | 2.29731i | 0.263679 | + | 0.0959714i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.62558 | − | 14.8904i | −0.109494 | − | 0.620973i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.72756 | − | 6.45632i | 0.155180 | − | 0.268780i | −0.777944 | − | 0.628333i | \(-0.783737\pi\) |
0.933125 | + | 0.359553i | \(0.117071\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 9.60014 | + | 8.05547i | 0.398968 | + | 0.334774i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −39.5638 | − | 68.5265i | −1.64138 | − | 2.84296i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 13.9058 | − | 5.06132i | 0.575921 | − | 0.209618i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.486329 | + | 2.75811i | −0.0201072 | + | 0.114034i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.53462 | + | 3.80499i | −0.187164 | + | 0.157049i | −0.731555 | − | 0.681782i | \(-0.761205\pi\) |
0.544391 | + | 0.838831i | \(0.316761\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.50774 | − | 7.76903i | 0.226943 | − | 0.320117i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.11927 | − | 2.61738i | 0.128310 | − | 0.107665i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −0.870767 | + | 4.93837i | −0.0357581 | + | 0.202794i | −0.997453 | − | 0.0713281i | \(-0.977276\pi\) |
0.961695 | + | 0.274122i | \(0.0883874\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.43242 | + | 3.06915i | −0.345695 | + | 0.125823i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 3.57785 | + | 6.19702i | 0.146432 | + | 0.253627i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.68164 | − | 3.08926i | −0.150428 | − | 0.126224i | 0.564468 | − | 0.825455i | \(-0.309081\pi\) |
−0.714896 | + | 0.699231i | \(0.753526\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.42468 | + | 7.66377i | −0.180486 | + | 0.312612i | −0.942046 | − | 0.335483i | \(-0.891101\pi\) |
0.761560 | + | 0.648095i | \(0.224434\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.432419 | + | 2.45237i | 0.0176094 | + | 0.0998681i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 8.61974 | + | 3.13733i | 0.350442 | + | 0.127551i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.715948 | −0.0290594 | −0.0145297 | − | 0.999894i | \(-0.504625\pi\) | ||||
−0.0145297 | + | 0.999894i | \(0.504625\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 6.66044 | 0.269895 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −52.0207 | − | 18.9340i | −2.10453 | − | 0.765987i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.23870 | + | 24.0389i | 0.171200 | + | 0.970921i | 0.942440 | + | 0.334377i | \(0.108526\pi\) |
−0.771240 | + | 0.636545i | \(0.780363\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.458111 | − | 0.793471i | 0.0184728 | − | 0.0319959i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −33.2918 | − | 27.9351i | −1.34028 | − | 1.12463i | −0.981555 | − | 0.191182i | \(-0.938768\pi\) |
−0.358722 | − | 0.933444i | \(-0.616788\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.8648 | + | 20.5505i | 0.476888 | + | 0.825994i | 0.999649 | − | 0.0264848i | \(-0.00843137\pi\) |
−0.522761 | + | 0.852479i | \(0.675098\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.97178 | − | 1.08164i | 0.119253 | − | 0.0434047i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 9.56077 | − | 54.2218i | 0.383044 | − | 2.17235i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.6721 | − | 13.9895i | 0.666882 | − | 0.559581i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.96151 | + | 24.0339i | 0.0783353 | + | 0.959822i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 9.18732 | − | 7.70908i | 0.366322 | − | 0.307381i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.48293 | − | 25.4239i | 0.178462 | − | 1.01211i | −0.755609 | − | 0.655023i | \(-0.772659\pi\) |
0.934071 | − | 0.357087i | \(-0.116230\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 2.49273 | − | 0.907278i | 0.0990770 | − | 0.0360611i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.106067 | − | 0.183713i | −0.00420913 | − | 0.00729043i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 57.1357 | + | 47.9425i | 2.26380 | + | 1.89955i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.79813 | + | 6.57856i | −0.150252 | + | 0.260244i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.87645 | − | 10.6419i | −0.0741153 | − | 0.420329i | −0.999179 | − | 0.0405163i | \(-0.987100\pi\) |
0.925064 | − | 0.379812i | \(-0.124011\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13.5360 | + | 4.92669i | 0.533806 | + | 0.194290i | 0.594837 | − | 0.803846i | \(-0.297217\pi\) |
−0.0610309 | + | 0.998136i | \(0.519439\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.68273 | −0.0662576 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 24.9463 | 0.980738 | 0.490369 | − | 0.871515i | \(-0.336862\pi\) | ||||
0.490369 | + | 0.871515i | \(0.336862\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.90198 | + | 2.51211i | 0.270926 | + | 0.0986091i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.67365 | − | 9.49173i | −0.0655954 | − | 0.372010i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −17.8071 | + | 30.8427i | −0.696844 | + | 1.20697i | 0.272711 | + | 0.962096i | \(0.412080\pi\) |
−0.969555 | + | 0.244873i | \(0.921254\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.87417 | − | 3.25082i | −0.151376 | − | 0.127020i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.58260 | − | 2.74114i | −0.0617430 | − | 0.106942i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −46.0163 | + | 16.7485i | −1.79254 | + | 0.652431i | −0.793501 | + | 0.608569i | \(0.791744\pi\) |
−0.999038 | + | 0.0438619i | \(0.986034\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.90966 | + | 33.5154i | −0.229859 | + | 1.30360i | 0.623315 | + | 0.781971i | \(0.285785\pi\) |
−0.853174 | + | 0.521626i | \(0.825326\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 19.9329 | − | 16.7257i | 0.774129 | − | 0.649571i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −8.13223 | − | 3.85002i | −0.315354 | − | 0.149297i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.65767 | + | 3.06915i | −0.141626 | + | 0.118838i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.42246 | − | 13.7384i | 0.0936576 | − | 0.531158i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 34.5082 | − | 12.5600i | 1.33217 | − | 0.484872i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.1493 | + | 24.5073i | 0.545415 | + | 0.944687i | 0.998581 | + | 0.0532607i | \(0.0169614\pi\) |
−0.453165 | + | 0.891427i | \(0.649705\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.66250 | + | 3.07321i | 0.140970 | + | 0.118288i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −12.5025 | + | 21.6550i | −0.480511 | + | 0.832270i | −0.999750 | − | 0.0223595i | \(-0.992882\pi\) |
0.519239 | + | 0.854629i | \(0.326215\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.36618 | − | 36.1044i | −0.244312 | − | 1.38556i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 22.1878 | + | 8.07569i | 0.850238 | + | 0.309461i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 40.1284 | 1.53547 | 0.767734 | − | 0.640768i | \(-0.221384\pi\) | ||||
0.767734 | + | 0.640768i | \(0.221384\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.13341 | −0.196137 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 8.09152 | + | 2.94507i | 0.308711 | + | 0.112362i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.78029 | − | 15.7678i | −0.105921 | − | 0.600705i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.44087 | − | 2.49567i | 0.0548135 | − | 0.0949397i | −0.837317 | − | 0.546718i | \(-0.815877\pi\) |
0.892130 | + | 0.451778i | \(0.149210\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 18.6951 | + | 15.6870i | 0.710167 | + | 0.595901i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.14930 | + | 5.45475i | 0.119460 | + | 0.206910i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.99912 | + | 2.91144i | −0.302988 | + | 0.110279i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 2.68139 | − | 15.2069i | 0.101419 | − | 0.575178i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.8491 | − | 9.94258i | 0.447535 | − | 0.375526i | −0.390985 | − | 0.920397i | \(-0.627866\pi\) |
0.838520 | + | 0.544871i | \(0.183421\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 11.9731 | + | 1.11792i | 0.451575 | + | 0.0421630i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.31521 | − | 2.78179i | 0.124858 | − | 0.104768i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.950837 | − | 5.39246i | 0.0357599 | − | 0.202804i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −43.8353 | + | 15.9548i | −1.64627 | + | 0.599193i | −0.988119 | − | 0.153692i | \(-0.950884\pi\) |
−0.658152 | + | 0.752885i | \(0.728661\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.631759 | + | 1.09424i | 0.0236928 | + | 0.0410372i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 5.29292 | + | 4.44129i | 0.198221 | + | 0.166327i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.74675 | − | 13.4178i | 0.289712 | − | 0.501796i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.34730 | + | 7.64090i | 0.0503157 | + | 0.285355i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −10.8020 | − | 3.93161i | −0.402847 | − | 0.146624i | 0.132647 | − | 0.991163i | \(-0.457652\pi\) |
−0.535494 | + | 0.844539i | \(0.679875\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.9290 | −0.555986 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 13.2858 | 0.494104 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −6.78312 | − | 2.46885i | −0.251919 | − | 0.0916909i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.02687 | − | 17.1663i | −0.112261 | − | 0.636661i | −0.988070 | − | 0.154004i | \(-0.950783\pi\) |
0.875810 | − | 0.482657i | \(-0.160328\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 11.9764 | + | 10.0494i | 0.442962 | + | 0.371689i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 21.9393 | + | 38.0000i | 0.810346 | + | 1.40356i | 0.912622 | + | 0.408804i | \(0.134054\pi\) |
−0.102276 | + | 0.994756i | \(0.532613\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −5.47906 | + | 1.99421i | −0.202098 | + | 0.0735577i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 2.39218 | − | 13.5667i | 0.0881170 | − | 0.499736i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.6040 | − | 11.4151i | 0.500432 | − | 0.419912i | −0.357316 | − | 0.933984i | \(-0.616308\pi\) |
0.857747 | + | 0.514072i | \(0.171864\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 25.9770 | + | 2.42544i | 0.954289 | + | 0.0891008i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.98751 | + | 6.70232i | −0.293033 | + | 0.245884i | −0.777438 | − | 0.628960i | \(-0.783481\pi\) |
0.484404 | + | 0.874844i | \(0.339036\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.665441 | + | 3.77390i | −0.0243799 | + | 0.138265i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −16.8550 | + | 6.13473i | −0.616694 | + | 0.224458i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 34.8862 | + | 60.4248i | 1.27472 | + | 2.20787i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.0915 | + | 21.8934i | 0.952093 | + | 0.798901i | 0.979649 | − | 0.200719i | \(-0.0643279\pi\) |
−0.0275557 | + | 0.999620i | \(0.508772\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 8.82547 | − | 15.2862i | 0.321618 | − | 0.557059i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.71776 | + | 9.74189i | 0.0625156 | + | 0.354544i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −40.6664 | − | 14.8014i | −1.47805 | − | 0.537965i | −0.527774 | − | 0.849385i | \(-0.676973\pi\) |
−0.950272 | + | 0.311420i | \(0.899195\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −17.4953 | −0.635037 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.1679 | 0.513585 | 0.256793 | − | 0.966467i | \(-0.417334\pi\) | ||||
0.256793 | + | 0.966467i | \(0.417334\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 24.1065 | + | 8.77406i | 0.872715 | + | 0.317642i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.353226 | + | 2.00324i | 0.0127709 | + | 0.0724275i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.97343 | − | 6.88218i | 0.143472 | − | 0.248501i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −13.9722 | − | 11.7241i | −0.503852 | − | 0.422782i | 0.355107 | − | 0.934825i | \(-0.384444\pi\) |
−0.858960 | + | 0.512043i | \(0.828889\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.95084 | + | 6.84305i | 0.142286 | + | 0.246446i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 26.5437 | − | 9.66112i | 0.954711 | − | 0.347486i | 0.182752 | − | 0.983159i | \(-0.441499\pi\) |
0.771959 | + | 0.635673i | \(0.219277\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.81386 | + | 10.2869i | −0.0651559 | + | 0.369517i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 9.32295 | − | 7.82288i | 0.334459 | − | 0.280644i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −7.71436 | − | 3.65219i | −0.276395 | − | 0.130853i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 32.1917 | − | 27.0120i | 1.15191 | − | 0.966566i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.262174 | − | 1.48686i | 0.00936934 | − | 0.0531361i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 8.63475 | − | 3.14279i | 0.308188 | − | 0.112171i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.07057 | + | 15.7107i | 0.323331 | + | 0.560026i | 0.981173 | − | 0.193130i | \(-0.0618639\pi\) |
−0.657842 | + | 0.753156i | \(0.728531\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −19.4349 | − | 16.3079i | −0.691902 | − | 0.580575i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −26.7690 | + | 46.3653i | −0.951797 | + | 1.64856i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.89945 | − | 39.1287i | −0.245007 | − | 1.38950i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.17617 | + | 0.428092i | 0.0417146 | + | 0.0151829i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −32.8111 | −1.16223 | −0.581114 | − | 0.813822i | \(-0.697383\pi\) | ||||
−0.581114 | + | 0.813822i | \(0.697383\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −40.2080 | −1.42246 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −11.7280 | − | 4.26865i | −0.414389 | − | 0.150825i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 3.04060 | + | 17.2441i | 0.107300 | + | 0.608531i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.26399 | − | 5.65339i | 0.115040 | − | 0.199256i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −15.4513 | − | 12.9652i | −0.543912 | − | 0.456396i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 4.67112 | + | 8.09062i | 0.164228 | + | 0.284451i | 0.936381 | − | 0.350986i | \(-0.114153\pi\) |
−0.772153 | + | 0.635437i | \(0.780820\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.1027 | + | 5.13295i | −0.495211 | + | 0.180242i | −0.577539 | − | 0.816363i | \(-0.695987\pi\) |
0.0823275 | + | 0.996605i | \(0.473765\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.56165 | − | 20.1991i | 0.124913 | − | 0.708414i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.63151 | − | 1.36900i | 0.0571493 | − | 0.0479540i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.27513 | + | 15.6238i | 0.0446111 | + | 0.546608i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 20.2271 | − | 16.9726i | 0.706794 | − | 0.593070i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.34760 | − | 35.9990i | 0.221533 | − | 1.25637i | −0.647671 | − | 0.761920i | \(-0.724257\pi\) |
0.869203 | − | 0.494455i | \(-0.164632\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 21.4595 | − | 7.81060i | 0.748030 | − | 0.272261i | 0.0602532 | − | 0.998183i | \(-0.480809\pi\) |
0.687776 | + | 0.725923i | \(0.258587\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −13.2246 | − | 22.9057i | −0.460422 | − | 0.797475i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −1.86303 | − | 1.56326i | −0.0647838 | − | 0.0543600i | 0.609821 | − | 0.792539i | \(-0.291241\pi\) |
−0.674605 | + | 0.738179i | \(0.735686\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.6702 | − | 20.2135i | 0.405324 | − | 0.702042i | −0.589035 | − | 0.808108i | \(-0.700492\pi\) |
0.994359 | + | 0.106065i | \(0.0338253\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.58630 | − | 8.99638i | −0.0550283 | − | 0.312081i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 50.9051 | + | 18.5280i | 1.76376 | + | 0.641956i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.95636 | 0.309947 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2.18479 | −0.0755175 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.37851 | − | 0.501736i | −0.0475914 | − | 0.0173218i | 0.318115 | − | 0.948052i | \(-0.396950\pi\) |
−0.365706 | + | 0.930730i | \(0.619172\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.63997 | − | 26.3146i | −0.159999 | − | 0.907399i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.71554 | + | 2.97140i | −0.0590862 | + | 0.102340i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −8.18164 | − | 6.86521i | −0.281457 | − | 0.236170i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −43.2413 | − | 74.8961i | −1.48579 | − | 2.57346i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −10.5642 | + | 3.84505i | −0.362562 | + | 0.131962i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.51501 | + | 8.59208i | −0.0519340 | + | 0.294533i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.15207 | + | 6.00130i | −0.244882 | + | 0.205481i | −0.756965 | − | 0.653456i | \(-0.773319\pi\) |
0.512083 | + | 0.858936i | \(0.328874\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.17958 | + | 1.66387i | −0.0403407 | + | 0.0569032i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 26.6930 | − | 22.3981i | 0.911816 | − | 0.765104i | −0.0606480 | − | 0.998159i | \(-0.519317\pi\) |
0.972464 | + | 0.233055i | \(0.0748723\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.00758 | − | 22.7281i | 0.136737 | − | 0.775473i | −0.836898 | − | 0.547359i | \(-0.815633\pi\) |
0.973635 | − | 0.228114i | \(-0.0732558\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −8.11721 | + | 2.95442i | −0.276634 | + | 0.100686i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 21.5788 | + | 37.3755i | 0.734550 | + | 1.27228i | 0.954920 | + | 0.296862i | \(0.0959402\pi\) |
−0.220370 | + | 0.975416i | \(0.570727\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.98995 | − | 1.66977i | −0.0676604 | − | 0.0567738i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0.949493 | − | 1.64457i | 0.0322465 | − | 0.0558525i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.21378 | − | 6.88370i | −0.0411748 | − | 0.233514i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.0061 | − | 5.09780i | −0.474578 | − | 0.172732i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.31046 | −0.281266 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 20.1898 | 0.682541 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −42.1374 | − | 15.3368i | −1.42288 | − | 0.517886i | −0.487998 | − | 0.872845i | \(-0.662273\pi\) |
−0.934882 | + | 0.354959i | \(0.884495\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 2.52347 | + | 14.3113i | 0.0851146 | + | 0.482709i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.29932 | − | 3.98253i | 0.0774659 | − | 0.134175i | −0.824690 | − | 0.565585i | \(-0.808650\pi\) |
0.902156 | + | 0.431410i | \(0.141984\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.53524 | + | 4.64462i | 0.186276 | + | 0.156304i | 0.731157 | − | 0.682209i | \(-0.238981\pi\) |
−0.544881 | + | 0.838513i | \(0.683425\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.310622 | + | 0.538013i | 0.0104414 | + | 0.0180851i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 43.5676 | − | 15.8573i | 1.46286 | − | 0.532437i | 0.516707 | − | 0.856162i | \(-0.327158\pi\) |
0.946151 | + | 0.323725i | \(0.104935\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.347296 | + | 1.96962i | −0.0116479 | + | 0.0660588i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.23783 | − | 3.55596i | 0.141973 | − | 0.119129i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −28.3405 | − | 28.6730i | −0.948378 | − | 0.959506i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.99297 | + | 2.51140i | −0.100044 | + | 0.0839470i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.28699 | + | 18.6414i | −0.109749 | + | 0.622420i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 3.09967 | − | 1.12819i | 0.103380 | − | 0.0376272i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.81449 | − | 10.0710i | −0.193709 | − | 0.335514i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 12.1532 | + | 10.1977i | 0.404432 | + | 0.339359i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.94516 | + | 5.10116i | −0.0979003 | + | 0.169568i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.44222 | + | 53.5495i | 0.313524 | + | 1.77808i | 0.580381 | + | 0.814345i | \(0.302904\pi\) |
−0.266857 | + | 0.963736i | \(0.585985\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.16637 | − | 0.424525i | −0.0386862 | − | 0.0140806i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.8993 | 0.559899 | 0.279950 | − | 0.960015i | \(-0.409682\pi\) | ||||
0.279950 | + | 0.960015i | \(0.409682\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 99.2277 | 3.28396 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.91875 | + | 1.06234i | 0.0964908 | + | 0.0351198i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 8.27972 | + | 46.9566i | 0.273420 | + | 1.55064i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.85100 | + | 6.67014i | −0.127033 | + | 0.220027i | −0.922526 | − | 0.385936i | \(-0.873879\pi\) |
0.795493 | + | 0.605963i | \(0.207212\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −19.6898 | − | 16.5217i | −0.648802 | − | 0.544410i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −22.7335 | − | 39.3757i | −0.748284 | − | 1.29607i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.3944 | + | 4.51119i | −0.407525 | + | 0.148327i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.587649 | + | 3.33272i | −0.0193009 | + | 0.109461i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −13.9010 | + | 11.6644i | −0.456078 | + | 0.382695i | −0.841686 | − | 0.539968i | \(-0.818436\pi\) |
0.385607 | + | 0.922663i | \(0.373992\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 22.6677 | + | 49.3607i | 0.742904 | + | 1.61773i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.47178 | − | 3.75227i | 0.146400 | − | 0.122844i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.95408 | − | 11.0821i | 0.0639052 | − | 0.362424i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.71436 | − | 3.53574i | 0.317354 | − | 0.115507i | −0.178432 | − | 0.983952i | \(-0.557102\pi\) |
0.495786 | + | 0.868445i | \(0.334880\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −8.25537 | − | 14.2987i | −0.269404 | − | 0.466621i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 34.5808 | + | 29.0168i | 1.12730 | + | 0.945920i | 0.998950 | − | 0.0458088i | \(-0.0145865\pi\) |
0.128353 | + | 0.991729i | \(0.459031\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.09627 | − | 5.36289i | 0.100828 | − | 0.174640i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.358441 | + | 2.03282i | 0.0116601 | + | 0.0661276i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −18.9561 | − | 6.89944i | −0.615989 | − | 0.224202i | 0.0151327 | − | 0.999885i | \(-0.495183\pi\) |
−0.631122 | + | 0.775684i | \(0.717405\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.9451 | 0.614984 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 26.9495 | 0.873899 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 42.0232 | + | 15.2952i | 1.36127 | + | 0.495460i | 0.916445 | − | 0.400160i | \(-0.131045\pi\) |
0.444820 | + | 0.895620i | \(0.353268\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.545759 | − | 3.09516i | −0.0176604 | − | 0.100157i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −4.17617 | + | 7.23335i | −0.134997 | + | 0.233821i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 37.0749 | + | 31.1095i | 1.19721 | + | 1.00458i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.1133 | + | 22.7130i | 0.423011 | + | 0.732677i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 14.8623 | − | 5.40944i | 0.478931 | − | 0.174317i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.01826 | − | 5.77482i | 0.0327788 | − | 0.185898i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.96270 | − | 7.52060i | 0.288221 | − | 0.241846i | −0.487201 | − | 0.873290i | \(-0.661982\pi\) |
0.775421 | + | 0.631444i | \(0.217537\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 18.3320 | − | 4.79763i | 0.588910 | − | 0.154122i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −27.9786 | + | 23.4769i | −0.897877 | + | 0.753409i | −0.969774 | − | 0.244003i | \(-0.921539\pi\) |
0.0718969 | + | 0.997412i | \(0.477095\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 10.3118 | − | 58.4811i | 0.330581 | − | 1.87482i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −26.8910 | + | 9.78752i | −0.861201 | + | 0.313452i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 25.0219 | + | 43.3392i | 0.800521 | + | 1.38654i | 0.919274 | + | 0.393619i | \(0.128777\pi\) |
−0.118753 | + | 0.992924i | \(0.537890\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 52.8911 | + | 44.3809i | 1.69041 | + | 1.41842i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.90760 | − | 5.03612i | 0.0928326 | − | 0.160791i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1.71317 | − | 9.71589i | −0.0546417 | − | 0.309889i | 0.945221 | − | 0.326430i | \(-0.105846\pi\) |
−0.999863 | + | 0.0165411i | \(0.994735\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.79039 | − | 0.651650i | −0.0570466 | − | 0.0207633i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −40.8016 | −1.29873 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −11.3732 | −0.361647 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 32.1596 | + | 11.7051i | 1.02158 | + | 0.371826i | 0.797870 | − | 0.602830i | \(-0.205960\pi\) |
0.223712 | + | 0.974655i | \(0.428182\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.94697 | + | 28.0556i | 0.156987 | + | 0.890319i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.67412 | − | 2.89965i | 0.0530730 | − | 0.0919252i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 30.4818 | + | 25.5773i | 0.965368 | + | 0.810040i | 0.981818 | − | 0.189825i | \(-0.0607919\pi\) |
−0.0164497 | + | 0.999865i | \(0.505236\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.37939 | − | 2.38917i | −0.0436418 | − | 0.0755898i |
(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 | 912.2.bo.c.481.1 | 6 | ||
4.3 | odd | 2 | 114.2.i.b.25.1 | ✓ | 6 | ||
12.11 | even | 2 | 342.2.u.d.253.1 | 6 | |||
19.16 | even | 9 | inner | 912.2.bo.c.529.1 | 6 | ||
76.15 | even | 18 | 2166.2.a.n.1.3 | 3 | |||
76.23 | odd | 18 | 2166.2.a.t.1.3 | 3 | |||
76.35 | odd | 18 | 114.2.i.b.73.1 | yes | 6 | ||
228.23 | even | 18 | 6498.2.a.bo.1.1 | 3 | |||
228.35 | even | 18 | 342.2.u.d.73.1 | 6 | |||
228.167 | odd | 18 | 6498.2.a.bt.1.1 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.b.25.1 | ✓ | 6 | 4.3 | odd | 2 | ||
114.2.i.b.73.1 | yes | 6 | 76.35 | odd | 18 | ||
342.2.u.d.73.1 | 6 | 228.35 | even | 18 | |||
342.2.u.d.253.1 | 6 | 12.11 | even | 2 | |||
912.2.bo.c.481.1 | 6 | 1.1 | even | 1 | trivial | ||
912.2.bo.c.529.1 | 6 | 19.16 | even | 9 | inner | ||
2166.2.a.n.1.3 | 3 | 76.15 | even | 18 | |||
2166.2.a.t.1.3 | 3 | 76.23 | odd | 18 | |||
6498.2.a.bo.1.1 | 3 | 228.23 | even | 18 | |||
6498.2.a.bt.1.1 | 3 | 228.167 | odd | 18 |