Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(41,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.m (of order \(11\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Character | \(\chi\) | \(=\) | 460.41 |
Dual form | 460.2.m.a.101.1 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.26886 | + | 1.46434i | −0.732577 | + | 0.845439i | −0.992759 | − | 0.120120i | \(-0.961672\pi\) |
0.260182 | + | 0.965560i | \(0.416217\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.142315 | + | 0.989821i | −0.0636451 | + | 0.442662i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0191296 | + | 0.0418879i | 0.00723030 | + | 0.0158321i | 0.913213 | − | 0.407483i | \(-0.133594\pi\) |
−0.905982 | + | 0.423315i | \(0.860866\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.107349 | − | 0.746632i | −0.0357831 | − | 0.248877i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.229658 | − | 0.0674336i | 0.0692444 | − | 0.0203320i | −0.246927 | − | 0.969034i | \(-0.579421\pi\) |
0.316171 | + | 0.948702i | \(0.397603\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.75005 | + | 3.83208i | −0.485378 | + | 1.06283i | 0.495572 | + | 0.868567i | \(0.334958\pi\) |
−0.980950 | + | 0.194262i | \(0.937769\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.26886 | − | 1.46434i | −0.327618 | − | 0.378092i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.597021 | + | 0.383682i | −0.144799 | + | 0.0930566i | −0.611034 | − | 0.791604i | \(-0.709246\pi\) |
0.466235 | + | 0.884661i | \(0.345610\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.34165 | − | 2.14755i | −0.766626 | − | 0.492681i | 0.0979444 | − | 0.995192i | \(-0.468773\pi\) |
−0.864571 | + | 0.502511i | \(0.832410\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.0856110 | − | 0.0251377i | −0.0186819 | − | 0.00548549i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.35746 | + | 2.00313i | −0.908593 | + | 0.417682i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.66051 | − | 2.35247i | −0.704466 | − | 0.452733i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.590543 | + | 0.379519i | −0.109661 | + | 0.0704749i | −0.594322 | − | 0.804227i | \(-0.702579\pi\) |
0.484661 | + | 0.874702i | \(0.338943\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.43965 | − | 3.96957i | −0.617780 | − | 0.712956i | 0.357504 | − | 0.933912i | \(-0.383628\pi\) |
−0.975284 | + | 0.220955i | \(0.929082\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.192658 | + | 0.421862i | −0.0335374 | + | 0.0734367i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.0441840 | + | 0.0129736i | −0.00746845 | + | 0.00219294i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.347733 | + | 2.41854i | 0.0571670 | + | 0.397605i | 0.998235 | + | 0.0593878i | \(0.0189148\pi\) |
−0.941068 | + | 0.338217i | \(0.890176\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.39091 | − | 7.42506i | −0.542980 | − | 1.18896i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.510902 | + | 3.55340i | −0.0797895 | + | 0.554948i | 0.910239 | + | 0.414083i | \(0.135898\pi\) |
−0.990029 | + | 0.140866i | \(0.955011\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.44042 | + | 3.97045i | −0.524659 | + | 0.605488i | −0.954791 | − | 0.297277i | \(-0.903921\pi\) |
0.430132 | + | 0.902766i | \(0.358467\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.754310 | 0.112446 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.0114334 | −0.00166774 | −0.000833869 | − | 1.00000i | \(-0.500265\pi\) | ||||
−0.000833869 | 1.00000i | \(0.500265\pi\) | ||||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.58264 | − | 5.28864i | 0.654662 | − | 0.755521i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.195694 | − | 1.36108i | 0.0274027 | − | 0.190590i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.16162 | + | 11.3024i | 0.709003 | + | 1.55250i | 0.828702 | + | 0.559690i | \(0.189080\pi\) |
−0.119699 | + | 0.992810i | \(0.538193\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0340635 | + | 0.236917i | 0.00459312 | + | 0.0319459i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.38483 | − | 2.16838i | 0.978145 | − | 0.287209i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.03273 | + | 4.45105i | −0.264638 | + | 0.579477i | −0.994573 | − | 0.104040i | \(-0.966823\pi\) |
0.729935 | + | 0.683517i | \(0.239550\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.47877 | + | 4.01472i | 0.445411 | + | 0.514032i | 0.933410 | − | 0.358813i | \(-0.116818\pi\) |
−0.487999 | + | 0.872844i | \(0.662273\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.0292213 | − | 0.0187794i | 0.00368154 | − | 0.00236598i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.54402 | − | 2.27760i | −0.439582 | − | 0.282502i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.04121 | + | 0.599352i | 0.249373 | + | 0.0732225i | 0.404030 | − | 0.914746i | \(-0.367609\pi\) |
−0.154657 | + | 0.987968i | \(0.549427\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.59574 | − | 8.92251i | 0.312490 | − | 1.07414i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.02708 | + | 2.06334i | 0.833961 | + | 0.244873i | 0.670717 | − | 0.741713i | \(-0.265986\pi\) |
0.163243 | + | 0.986586i | \(0.447805\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.786056 | − | 0.505167i | −0.0920008 | − | 0.0591254i | 0.493832 | − | 0.869558i | \(-0.335596\pi\) |
−0.585832 | + | 0.810432i | \(0.699232\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.63002 | − | 1.04755i | 0.188218 | − | 0.120960i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.00721790 | + | 0.00832991i | 0.000822557 | + | 0.000949281i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.12602 | − | 9.03472i | 0.464213 | − | 1.01649i | −0.522294 | − | 0.852766i | \(-0.674924\pi\) |
0.986507 | − | 0.163720i | \(-0.0523492\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 10.2608 | − | 3.01283i | 1.14009 | − | 0.334759i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.46896 | + | 10.2168i | 0.161239 | + | 1.12144i | 0.896303 | + | 0.443443i | \(0.146243\pi\) |
−0.735064 | + | 0.677998i | \(0.762848\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.294812 | − | 0.645548i | −0.0319768 | − | 0.0700195i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.193571 | − | 1.34631i | 0.0207530 | − | 0.144340i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.17192 | − | 1.35246i | 0.124223 | − | 0.143361i | −0.690231 | − | 0.723589i | \(-0.742491\pi\) |
0.814454 | + | 0.580228i | \(0.197037\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.193996 | −0.0203363 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 10.1773 | 1.05533 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.60125 | − | 3.00201i | 0.266883 | − | 0.307999i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.0699118 | + | 0.486247i | −0.00709846 | + | 0.0493709i | −0.993063 | − | 0.117585i | \(-0.962485\pi\) |
0.985964 | + | 0.166956i | \(0.0533938\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.0750017 | − | 0.164231i | −0.00753795 | − | 0.0165058i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.45265 | + | 10.1034i | 0.144544 | + | 1.00533i | 0.924960 | + | 0.380065i | \(0.124098\pi\) |
−0.780416 | + | 0.625261i | \(0.784993\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.91739 | − | 0.856624i | 0.287459 | − | 0.0844057i | −0.134824 | − | 0.990870i | \(-0.543047\pi\) |
0.422283 | + | 0.906464i | \(0.361229\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.0370655 | − | 0.0811622i | 0.00361722 | − | 0.00792062i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.29220 | + | 6.10753i | 0.511616 | + | 0.590437i | 0.951512 | − | 0.307612i | \(-0.0995299\pi\) |
−0.439895 | + | 0.898049i | \(0.644984\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.93159 | − | 5.09733i | 0.759709 | − | 0.488235i | −0.102534 | − | 0.994729i | \(-0.532695\pi\) |
0.862243 | + | 0.506494i | \(0.169059\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.98280 | − | 2.55959i | −0.378030 | − | 0.242945i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.73369 | + | 1.09631i | 0.351236 | + | 0.103132i | 0.452591 | − | 0.891718i | \(-0.350500\pi\) |
−0.101355 | + | 0.994850i | \(0.532318\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.36261 | − | 4.59818i | −0.127064 | − | 0.428783i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.04902 | + | 0.895274i | 0.281882 | + | 0.0827681i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.0274924 | − | 0.0176683i | −0.00252022 | − | 0.00161965i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.20559 | + | 5.91608i | −0.836872 | + | 0.537825i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.55514 | − | 5.25691i | −0.410723 | − | 0.474000i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.415415 | − | 0.909632i | 0.0371558 | − | 0.0813600i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.59424 | − | 2.81712i | 0.851351 | − | 0.249979i | 0.173186 | − | 0.984889i | \(-0.444594\pi\) |
0.678165 | + | 0.734910i | \(0.262776\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.44870 | − | 10.0759i | −0.127551 | − | 0.887134i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.970457 | − | 2.12500i | −0.0847892 | − | 0.185662i | 0.862488 | − | 0.506077i | \(-0.168905\pi\) |
−0.947277 | + | 0.320415i | \(0.896178\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.0260320 | − | 0.181056i | 0.00225726 | − | 0.0156996i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.84947 | − | 3.28846i | 0.245243 | − | 0.283026i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −11.2818 | −0.963869 | −0.481934 | − | 0.876207i | \(-0.660066\pi\) | ||||
−0.481934 | + | 0.876207i | \(0.660066\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.9060 | −1.34913 | −0.674566 | − | 0.738215i | \(-0.735669\pi\) | ||||
−0.674566 | + | 0.738215i | \(0.735669\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.0145074 | − | 0.0167425i | 0.00122175 | − | 0.00140997i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.143502 | + | 0.998080i | −0.0120003 | + | 0.0834637i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.291613 | − | 0.638543i | −0.0242171 | − | 0.0530281i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.92966 | + | 13.4211i | 0.159156 | + | 1.10695i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 18.7291 | − | 5.49936i | 1.53435 | − | 0.450525i | 0.597969 | − | 0.801519i | \(-0.295974\pi\) |
0.936378 | + | 0.350994i | \(0.114156\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.09678 | + | 2.40160i | −0.0892543 | + | 0.195440i | −0.948995 | − | 0.315291i | \(-0.897898\pi\) |
0.859741 | + | 0.510731i | \(0.170625\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.350559 | + | 0.404567i | 0.0283410 | + | 0.0327073i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.41868 | − | 2.83971i | 0.354917 | − | 0.228091i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −16.1462 | − | 10.3765i | −1.28860 | − | 0.828136i | −0.296681 | − | 0.954977i | \(-0.595880\pi\) |
−0.991923 | + | 0.126841i | \(0.959516\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −23.0999 | − | 6.78275i | −1.83194 | − | 0.537907i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.167263 | − | 0.144206i | −0.0131822 | − | 0.0113650i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.3285 | + | 4.79449i | 1.27895 | + | 0.375534i | 0.849515 | − | 0.527564i | \(-0.176895\pi\) |
0.429435 | + | 0.903098i | \(0.358713\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.390150 | − | 0.250734i | −0.0303731 | − | 0.0195196i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −8.11436 | + | 5.21478i | −0.627908 | + | 0.403532i | −0.815534 | − | 0.578709i | \(-0.803557\pi\) |
0.187627 | + | 0.982240i | \(0.439921\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.10899 | − | 3.58796i | −0.239153 | − | 0.275997i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.24470 | + | 2.72552i | −0.0951848 | + | 0.208426i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 20.9509 | − | 6.15175i | 1.59287 | − | 0.467709i | 0.639320 | − | 0.768941i | \(-0.279216\pi\) |
0.953551 | + | 0.301232i | \(0.0973979\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.00655350 | − | 0.0455806i | −0.000495398 | − | 0.00344557i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.93862 | − | 8.62437i | −0.296045 | − | 0.648247i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.746126 | + | 5.18942i | −0.0557681 | + | 0.387876i | 0.942752 | + | 0.333494i | \(0.108228\pi\) |
−0.998520 | + | 0.0543813i | \(0.982681\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −17.0099 | + | 19.6305i | −1.26434 | + | 1.45912i | −0.434943 | + | 0.900458i | \(0.643231\pi\) |
−0.829394 | + | 0.558664i | \(0.811314\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.2930 | −0.760880 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.44341 | −0.179643 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.111237 | + | 0.128375i | −0.00813449 | + | 0.00938770i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.0285160 | − | 0.198333i | 0.00207423 | − | 0.0144266i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.58771 | + | 14.4251i | 0.476670 | + | 1.04376i | 0.983366 | + | 0.181637i | \(0.0581396\pi\) |
−0.506695 | + | 0.862125i | \(0.669133\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.77680 | − | 12.3579i | −0.127897 | − | 0.889544i | −0.948213 | − | 0.317634i | \(-0.897112\pi\) |
0.820316 | − | 0.571910i | \(-0.193797\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 7.83206 | − | 2.29970i | 0.560866 | − | 0.164685i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.08988 | + | 2.38652i | −0.0776511 | + | 0.170032i | −0.944476 | − | 0.328581i | \(-0.893430\pi\) |
0.866825 | + | 0.498613i | \(0.166157\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.22737 | + | 7.18676i | 0.441446 | + | 0.509456i | 0.932250 | − | 0.361814i | \(-0.117842\pi\) |
−0.490804 | + | 0.871270i | \(0.663297\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.46766 | + | 2.22853i | −0.244590 | + | 0.157188i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.0271941 | − | 0.0174766i | −0.00190865 | − | 0.00122662i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.44453 | − | 1.01140i | −0.240576 | − | 0.0706395i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.96337 | + | 3.03838i | 0.136464 | + | 0.211182i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.912252 | − | 0.267861i | −0.0631018 | − | 0.0185284i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.1386 | − | 7.15834i | −0.766812 | − | 0.492800i | 0.0978210 | − | 0.995204i | \(-0.468813\pi\) |
−0.864633 | + | 0.502404i | \(0.832449\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −11.9378 | + | 7.67197i | −0.817966 | + | 0.525675i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.44042 | − | 3.97045i | −0.234635 | − | 0.270783i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.100478 | − | 0.220016i | 0.00682089 | − | 0.0149357i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.73713 | − | 0.510068i | 0.117385 | − | 0.0344672i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.425483 | − | 2.95930i | −0.0286211 | − | 0.199064i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.35198 | − | 9.52951i | −0.291430 | − | 0.638143i | 0.706120 | − | 0.708092i | \(-0.250444\pi\) |
−0.997551 | + | 0.0699485i | \(0.977717\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.107349 | + | 0.746632i | −0.00715663 | + | 0.0497755i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −10.5348 | + | 12.1578i | −0.699221 | + | 0.806944i | −0.988647 | − | 0.150257i | \(-0.951990\pi\) |
0.289426 | + | 0.957200i | \(0.406535\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.12377 | 0.272507 | 0.136253 | − | 0.990674i | \(-0.456494\pi\) | ||||
0.136253 | + | 0.990674i | \(0.456494\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.0213564 | −0.00140515 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.52329 | − | 1.75796i | 0.0997937 | − | 0.115168i | −0.703656 | − | 0.710541i | \(-0.748450\pi\) |
0.803449 | + | 0.595373i | \(0.202996\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.00162715 | − | 0.0113171i | 0.000106143 | − | 0.000738244i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 7.99459 | + | 17.5057i | 0.519304 | + | 1.13712i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.94337 | + | 13.5164i | 0.125706 | + | 0.874304i | 0.950910 | + | 0.309468i | \(0.100151\pi\) |
−0.825204 | + | 0.564835i | \(0.808940\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.53832 | + | 0.451692i | −0.0990921 | + | 0.0290961i | −0.330903 | − | 0.943665i | \(-0.607353\pi\) |
0.231811 | + | 0.972761i | \(0.425535\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −3.18493 | + | 6.97402i | −0.204313 | + | 0.447383i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.58264 | + | 5.28864i | 0.292774 | + | 0.337879i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 14.0776 | − | 9.04715i | 0.895739 | − | 0.575656i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −16.8248 | − | 10.8127i | −1.06623 | − | 0.685224i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.29461 | − | 0.380132i | −0.0817152 | − | 0.0239937i | 0.240619 | − | 0.970620i | \(-0.422649\pi\) |
−0.322335 | + | 0.946626i | \(0.604468\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.865646 | + | 0.753874i | −0.0544227 | + | 0.0473957i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.31938 | + | 0.387405i | 0.0826228 | + | 0.0242602i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.22941 | − | 3.36074i | −0.326202 | − | 0.209637i | 0.367282 | − | 0.930110i | \(-0.380289\pi\) |
−0.693483 | + | 0.720473i | \(0.743925\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0946555 | + | 0.0608314i | −0.00588161 | + | 0.00377988i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.346755 | + | 0.400177i | 0.0214636 | + | 0.0247703i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.76648 | + | 6.05774i | −0.170588 | + | 0.373536i | −0.975546 | − | 0.219796i | \(-0.929461\pi\) |
0.804958 | + | 0.593332i | \(0.202188\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.9219 | + | 3.50059i | −0.732357 | + | 0.215039i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.493473 | + | 3.43218i | 0.0302000 | + | 0.210046i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 5.50695 | + | 12.0585i | 0.335765 | + | 0.735222i | 0.999923 | − | 0.0123695i | \(-0.00393745\pi\) |
−0.664159 | + | 0.747591i | \(0.731210\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.47947 | − | 24.2003i | 0.211363 | − | 1.47006i | −0.557249 | − | 0.830345i | \(-0.688143\pi\) |
0.768612 | − | 0.639715i | \(-0.220948\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.246154 | − | 0.284076i | 0.0148979 | − | 0.0171931i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.239353 | −0.0144335 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.82711 | 0.530370 | 0.265185 | − | 0.964198i | \(-0.414567\pi\) | ||||
0.265185 | + | 0.964198i | \(0.414567\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.59456 | + | 2.99429i | −0.155333 | + | 0.179263i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.22925 | + | 8.54963i | −0.0733309 | + | 0.510028i | 0.919742 | + | 0.392525i | \(0.128398\pi\) |
−0.993072 | + | 0.117503i | \(0.962511\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.43440 | + | 18.4688i | 0.501373 | + | 1.09785i | 0.976021 | + | 0.217678i | \(0.0698483\pi\) |
−0.474647 | + | 0.880176i | \(0.657424\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.09534 | + | 7.61826i | 0.0648823 | + | 0.451267i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.158618 | + | 0.0465744i | −0.00936292 | + | 0.00274920i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.85283 | + | 15.0056i | −0.403108 | + | 0.882683i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.623324 | − | 0.719355i | −0.0365399 | − | 0.0421693i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −24.0325 | + | 15.4448i | −1.40400 | + | 0.902294i | −0.999923 | − | 0.0124328i | \(-0.996042\pi\) |
−0.404074 | + | 0.914726i | \(0.632406\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.11646 | − | 2.64549i | −0.239669 | − | 0.154026i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.999300 | − | 0.293421i | −0.0579853 | − | 0.0170260i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.0503797 | − | 20.2037i | −0.00291353 | − | 1.16841i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.232128 | − | 0.0681588i | −0.0133796 | − | 0.00392861i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −16.6381 | − | 10.6926i | −0.955832 | − | 0.614276i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.46893 | + | 2.87201i | −0.255890 | + | 0.164451i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −20.0401 | − | 23.1275i | −1.14375 | − | 1.31996i | −0.940094 | − | 0.340915i | \(-0.889263\pi\) |
−0.203656 | − | 0.979043i | \(-0.565282\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.44738 | + | 5.35900i | −0.139226 | + | 0.304863i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 26.7357 | − | 7.85031i | 1.51604 | − | 0.445150i | 0.585297 | − | 0.810819i | \(-0.300978\pi\) |
0.930745 | + | 0.365668i | \(0.119160\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.90518 | − | 20.2060i | −0.164211 | − | 1.14211i | −0.890587 | − | 0.454813i | \(-0.849706\pi\) |
0.726376 | − | 0.687297i | \(-0.241203\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.0144296 | + | 0.0315964i | 0.000813017 | + | 0.00178026i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.21783 | − | 22.3805i | 0.180731 | − | 1.25701i | −0.674308 | − | 0.738451i | \(-0.735558\pi\) |
0.855039 | − | 0.518564i | \(-0.173533\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.110030 | + | 0.126982i | −0.00616052 | + | 0.00710962i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −15.6586 | −0.873977 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.81901 | 0.156854 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.75879 | − | 3.18381i | 0.153030 | − | 0.176606i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.59985 | + | 18.0824i | −0.143772 | + | 0.999958i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.000218717 | 0 | 0.000478923i | −1.20582e−5 | 0 | 2.64039e-5i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.81411 | − | 19.5725i | −0.154677 | − | 1.07580i | −0.908247 | − | 0.418435i | \(-0.862579\pi\) |
0.753569 | − | 0.657368i | \(-0.228330\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.76843 | − | 0.519257i | 0.0969093 | − | 0.0284551i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.883745 | + | 1.93513i | −0.0482842 | + | 0.105728i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.78872 | − | 5.52647i | −0.260858 | − | 0.301046i | 0.610179 | − | 0.792264i | \(-0.291098\pi\) |
−0.871037 | + | 0.491217i | \(0.836552\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −6.34291 | + | 4.07634i | −0.344500 | + | 0.221396i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.05763 | − | 0.679695i | −0.0572736 | − | 0.0368075i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.618482 | + | 0.181603i | 0.0333949 | + | 0.00980562i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 8.46228 | + | 3.83912i | 0.455594 | + | 0.206691i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.22212 | − | 0.358846i | −0.0656067 | − | 0.0192639i | 0.248764 | − | 0.968564i | \(-0.419975\pi\) |
−0.314371 | + | 0.949300i | \(0.601794\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.2910 | + | 11.7549i | 0.979095 | + | 0.629226i | 0.929219 | − | 0.369529i | \(-0.120481\pi\) |
0.0498757 | + | 0.998755i | \(0.484117\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 15.4209 | − | 9.91044i | 0.823109 | − | 0.528980i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −8.72769 | − | 10.0723i | −0.464528 | − | 0.536094i | 0.474353 | − | 0.880335i | \(-0.342682\pi\) |
−0.938882 | + | 0.344240i | \(0.888136\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.04239 | + | 6.66191i | −0.161473 | + | 0.353577i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0607565 | − | 0.0178397i | 0.00321557 | − | 0.000944178i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.88625 | + | 20.0743i | 0.152331 | + | 1.05948i | 0.912300 | + | 0.409523i | \(0.134305\pi\) |
−0.759969 | + | 0.649959i | \(0.774786\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.33823 | − | 2.93032i | −0.0704334 | − | 0.154228i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.01745 | − | 20.9868i | 0.158375 | − | 1.10152i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.611893 | − | 0.706162i | 0.0320279 | − | 0.0369622i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.79349 | 0.406817 | 0.203409 | − | 0.979094i | \(-0.434798\pi\) | ||||
0.203409 | + | 0.979094i | \(0.434798\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.70793 | 0.140969 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.374693 | + | 0.432419i | −0.0194531 | + | 0.0224501i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.670096 | + | 4.66062i | −0.0346963 | + | 0.241318i | −0.999788 | − | 0.0205946i | \(-0.993444\pi\) |
0.965092 | + | 0.261912i | \(0.0843532\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.804910 | + | 1.76251i | 0.0415654 | + | 0.0910155i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.420866 | − | 2.92719i | −0.0216757 | − | 0.150758i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 30.4775 | − | 8.94900i | 1.56552 | − | 0.459679i | 0.619830 | − | 0.784736i | \(-0.287202\pi\) |
0.945694 | + | 0.325057i | \(0.105384\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −8.04852 | + | 17.6238i | −0.412338 | + | 0.902895i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1.54744 | − | 1.78584i | −0.0790705 | − | 0.0912522i | 0.714836 | − | 0.699292i | \(-0.246501\pi\) |
−0.793906 | + | 0.608040i | \(0.791956\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.00927233 | + | 0.00595897i | −0.000472562 | + | 0.000303697i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.33379 | + | 2.14250i | 0.169466 | + | 0.108909i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −26.1000 | − | 7.66365i | −1.32332 | − | 0.388563i | −0.457632 | − | 0.889142i | \(-0.651302\pi\) |
−0.865691 | + | 0.500579i | \(0.833120\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.83293 | − | 2.86779i | 0.0926953 | − | 0.145031i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.34311 | + | 1.27525i | 0.219081 | + | 0.0643280i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 8.35556 | + | 5.36980i | 0.420414 | + | 0.270184i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.09079 | − | 5.19963i | 0.406065 | − | 0.260962i | −0.321627 | − | 0.946867i | \(-0.604230\pi\) |
0.727692 | + | 0.685904i | \(0.240593\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.232098 | + | 0.267855i | 0.0116194 | + | 0.0134095i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 9.29488 | − | 20.3529i | 0.464164 | − | 1.01638i | −0.522355 | − | 0.852728i | \(-0.674946\pi\) |
0.986519 | − | 0.163649i | \(-0.0523265\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 21.2313 | − | 6.23408i | 1.05761 | − | 0.310541i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.52191 | + | 10.5851i | 0.0756242 | + | 0.525978i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.242950 | + | 0.531987i | 0.0120426 | + | 0.0263696i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.58012 | + | 10.9900i | −0.0781318 | + | 0.543419i | 0.912733 | + | 0.408557i | \(0.133968\pi\) |
−0.990864 | + | 0.134861i | \(0.956941\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 14.3150 | − | 16.5204i | 0.706108 | − | 0.814892i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.225330 | −0.0110878 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.3219 | −0.506681 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 20.1825 | − | 23.2919i | 0.988343 | − | 1.14061i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.49551 | + | 24.3118i | −0.170767 | + | 1.18771i | 0.706503 | + | 0.707710i | \(0.250272\pi\) |
−0.877270 | + | 0.479998i | \(0.840637\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.36290 | + | 13.9328i | 0.310109 | + | 0.679043i | 0.998947 | − | 0.0458714i | \(-0.0146064\pi\) |
−0.688839 | + | 0.724915i | \(0.741879\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.00122737 | + | 0.00853657i | 5.96770e−5 | + | 0.000415062i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.680934 | − | 0.199940i | 0.0330301 | − | 0.00969852i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.101621 | + | 0.222518i | −0.00491777 | + | 0.0107684i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.27945 | − | 1.47656i | −0.0617723 | − | 0.0712891i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.07327 | − | 5.18837i | 0.388876 | − | 0.249915i | −0.331564 | − | 0.943433i | \(-0.607576\pi\) |
0.720440 | + | 0.693517i | \(0.243940\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.2942 | − | 7.90103i | −0.590824 | − | 0.379699i | 0.210799 | − | 0.977529i | \(-0.432393\pi\) |
−0.801623 | + | 0.597830i | \(0.796030\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.30506 | + | 0.383201i | 0.0625730 | + | 0.0183731i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 18.8629 | + | 2.66409i | 0.902336 | + | 0.127441i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 34.7250 | + | 10.1962i | 1.65733 | + | 0.486637i | 0.970685 | − | 0.240355i | \(-0.0772637\pi\) |
0.686647 | + | 0.726991i | \(0.259082\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.44061 | − | 2.85381i | −0.211458 | − | 0.135896i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 29.9543 | − | 19.2505i | 1.42317 | − | 0.914617i | 0.423209 | − | 0.906032i | \(-0.360904\pi\) |
0.999963 | − | 0.00858525i | \(-0.00273280\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.17192 | + | 1.35246i | 0.0555542 | + | 0.0641130i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −15.7117 | + | 34.4037i | −0.743136 | + | 1.62724i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.05131 | − | 0.308693i | 0.0496144 | − | 0.0145681i | −0.256831 | − | 0.966456i | \(-0.582678\pi\) |
0.306446 | + | 0.951888i | \(0.400860\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.122286 | + | 0.850518i | 0.00575823 | + | 0.0400494i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.12512 | − | 4.65336i | −0.0998467 | − | 0.218634i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.0276085 | − | 0.192021i | 0.00129431 | − | 0.00900209i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.4649 | − | 14.3852i | 0.583083 | − | 0.672913i | −0.385182 | − | 0.922841i | \(-0.625861\pi\) |
0.968265 | + | 0.249927i | \(0.0804068\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.08800 | 0.144136 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 32.9352 | 1.53395 | 0.766973 | − | 0.641679i | \(-0.221762\pi\) | ||||
0.766973 | + | 0.641679i | \(0.221762\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −22.0429 | + | 25.4389i | −1.02442 | + | 1.18225i | −0.0413269 | + | 0.999146i | \(0.513158\pi\) |
−0.983094 | + | 0.183099i | \(0.941387\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.44838 | + | 10.0737i | −0.0671668 | + | 0.467155i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.89251 | + | 10.7131i | 0.226398 | + | 0.495743i | 0.988408 | − | 0.151823i | \(-0.0485142\pi\) |
−0.762009 | + | 0.647566i | \(0.775787\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.0139418 | + | 0.0969671i | 0.000643771 | + | 0.00447753i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 35.6820 | − | 10.4772i | 1.64414 | − | 0.482763i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.522377 | + | 1.14385i | −0.0240189 | + | 0.0525941i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.60125 | + | 3.00201i | 0.119354 | + | 0.137741i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.88461 | − | 5.06713i | 0.361012 | − | 0.232008i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 27.9522 | + | 17.9638i | 1.27717 | + | 0.820786i | 0.990536 | − | 0.137254i | \(-0.0438277\pi\) |
0.286633 | + | 0.958041i | \(0.407464\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −9.87659 | − | 2.90003i | −0.450334 | − | 0.132230i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.423401 | − | 0.0619538i | 0.0192654 | − | 0.00281900i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.471348 | − | 0.138400i | −0.0214028 | − | 0.00628443i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.66502 | − | 1.07004i | −0.0754492 | − | 0.0484883i | 0.502372 | − | 0.864651i | \(-0.332461\pi\) |
−0.577822 | + | 0.816163i | \(0.696097\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −27.7394 | + | 17.8271i | −1.25442 | + | 0.806167i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.3781 | − | 20.0554i | −0.784263 | − | 0.905088i | 0.213146 | − | 0.977020i | \(-0.431629\pi\) |
−0.997410 | + | 0.0719324i | \(0.977083\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.206952 | − | 0.453162i | 0.00932065 | − | 0.0204094i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.173233 | − | 0.0508658i | 0.00778625 | − | 0.00228625i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.0479961 | + | 0.333820i | 0.00215292 | + | 0.0149739i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.2525 | + | 29.0188i | 0.593261 | + | 1.29906i | 0.933451 | + | 0.358704i | \(0.116781\pi\) |
−0.340190 | + | 0.940357i | \(0.610491\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.65976 | − | 18.4990i | 0.118829 | − | 0.826476i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.6418 | + | 13.4354i | −0.519083 | + | 0.599054i | −0.953401 | − | 0.301706i | \(-0.902444\pi\) |
0.434318 | + | 0.900760i | \(0.356989\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.2073 | −0.454219 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.19888 | 0.408537 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 22.9708 | − | 26.5097i | 1.01816 | − | 1.17502i | 0.0336968 | − | 0.999432i | \(-0.489272\pi\) |
0.984464 | − | 0.175588i | \(-0.0561826\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.00612350 | − | 0.0425898i | 0.000270888 | − | 0.00188406i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 7.18011 | + | 15.7222i | 0.317009 | + | 0.694154i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.432717 | + | 3.00961i | 0.0190678 | + | 0.132619i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.00262578 | 0.000770998i | −0.000115482 | 3.39085e-5i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −17.5756 | + | 38.4851i | −0.771481 | + | 1.68931i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.9674 | − | 14.9652i | −0.568113 | − | 0.655638i | 0.396893 | − | 0.917865i | \(-0.370089\pi\) |
−0.965006 | + | 0.262227i | \(0.915543\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.1146 | − | 10.9989i | 0.748370 | − | 0.480948i | −0.110030 | − | 0.993928i | \(-0.535095\pi\) |
0.858401 | + | 0.512980i | \(0.171458\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.0750611 | + | 0.0482388i | 0.00327593 | + | 0.00210532i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.57660 | + | 1.05019i | 0.155799 | + | 0.0457468i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.9749 | − | 17.4571i | 0.651084 | − | 0.759006i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.54151 | + | 1.03988i | 0.153688 | + | 0.0451270i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.7228 | − | 8.17647i | −0.551087 | − | 0.354162i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.79852 | + | 4.36914i | −0.293926 | + | 0.188895i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −6.65236 | − | 7.67724i | −0.287071 | − | 0.331297i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.695806 | − | 1.52360i | 0.0299705 | − | 0.0656262i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.4712 | + | 8.94715i | −1.31006 | + | 0.384668i | −0.860895 | − | 0.508782i | \(-0.830096\pi\) |
−0.449163 | + | 0.893450i | \(0.648278\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.16256 | − | 49.8167i | −0.307375 | − | 2.13784i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.91666 | + | 8.57629i | 0.167771 | + | 0.367368i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.60991 | − | 39.0178i | 0.239863 | − | 1.66828i | −0.412944 | − | 0.910757i | \(-0.635499\pi\) |
0.652806 | − | 0.757525i | \(-0.273592\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.62407 | − | 3.02834i | 0.111993 | − | 0.129246i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.78842 | 0.118791 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.457374 | 0.0194495 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.10035 | − | 3.57799i | 0.131602 | − | 0.151877i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.70975 | − | 18.8467i | 0.114816 | − | 0.798562i | −0.848308 | − | 0.529503i | \(-0.822378\pi\) |
0.963124 | − | 0.269059i | \(-0.0867126\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.19419 | − | 20.1325i | −0.388873 | − | 0.851513i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0468401 | − | 0.325780i | −0.00197759 | − | 0.0137544i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −13.5459 | + | 3.97742i | −0.570890 | + | 0.167628i | −0.554421 | − | 0.832236i | \(-0.687060\pi\) |
−0.0164681 | + | 0.999864i | \(0.505242\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.61651 | + | 3.53967i | −0.0680071 | + | 0.148915i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.322485 | + | 0.372168i | 0.0135431 | + | 0.0156296i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −38.3375 | + | 24.6380i | −1.60719 | + | 1.03288i | −0.643647 | + | 0.765322i | \(0.722580\pi\) |
−0.963542 | + | 0.267556i | \(0.913784\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.38979 | − | 1.53583i | −0.100010 | − | 0.0642724i | 0.489680 | − | 0.871902i | \(-0.337114\pi\) |
−0.589690 | + | 0.807630i | \(0.700750\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −29.4822 | − | 8.65674i | −1.23164 | − | 0.361641i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.74530 | − | 0.694353i | 0.197893 | − | 0.0289565i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.4077 | + | 3.34962i | 0.474911 | + | 0.139446i | 0.510424 | − | 0.859923i | \(-0.329488\pi\) |
−0.0355134 | + | 0.999369i | \(0.511307\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 20.3508 | + | 13.0787i | 0.845750 | + | 0.543531i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.399860 | + | 0.256974i | −0.0165890 | + | 0.0106611i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.94757 | + | 2.24761i | 0.0806599 | + | 0.0930865i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.32008 | + | 2.89058i | −0.0545787 | + | 0.119511i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −44.8430 | + | 13.1671i | −1.85087 | + | 0.543464i | −0.851038 | + | 0.525103i | \(0.824027\pi\) |
−0.999831 | + | 0.0183611i | \(0.994155\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.96927 | + | 20.6517i | 0.122347 | + | 0.850940i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.11177 | − | 4.62412i | −0.0868664 | − | 0.190211i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.84662 | − | 33.7090i | 0.199027 | − | 1.38426i | −0.608089 | − | 0.793869i | \(-0.708064\pi\) |
0.807116 | − | 0.590393i | \(-0.201027\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.0214010 | − | 0.0246981i | 0.000877357 | − | 0.00101252i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −18.4256 | −0.754108 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −15.3446 | −0.626963 | −0.313481 | − | 0.949594i | \(-0.601495\pi\) | ||||
−0.313481 | + | 0.949594i | \(0.601495\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.8981 | + | 19.5015i | −0.689290 | + | 0.795483i | −0.987264 | − | 0.159091i | \(-0.949144\pi\) |
0.297974 | + | 0.954574i | \(0.403689\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.228373 | − | 1.58837i | 0.00930007 | − | 0.0646834i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.54577 | − | 9.95384i | −0.184812 | − | 0.404681i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.45913 | + | 31.0140i | 0.180991 | + | 1.25882i | 0.854427 | + | 0.519572i | \(0.173909\pi\) |
−0.673436 | + | 0.739246i | \(0.735182\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.0600972 | − | 0.0176461i | 0.00243526 | − | 0.000715057i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.0200091 | − | 0.0438139i | 0.000809483 | − | 0.00177252i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.24200 | − | 10.6658i | −0.373281 | − | 0.430789i | 0.537765 | − | 0.843095i | \(-0.319269\pi\) |
−0.911045 | + | 0.412306i | \(0.864723\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.85167 | − | 3.76064i | 0.235962 | − | 0.151644i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −35.2587 | − | 22.6594i | −1.41946 | − | 0.912232i | −0.999990 | − | 0.00446382i | \(-0.998579\pi\) |
−0.419471 | − | 0.907769i | \(-0.637785\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −42.1529 | − | 12.3772i | −1.69427 | − | 0.497482i | −0.714841 | − | 0.699287i | \(-0.753501\pi\) |
−0.979426 | + | 0.201805i | \(0.935319\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 20.6628 | + | 2.91830i | 0.829171 | + | 0.117107i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.0790702 | + | 0.0232171i | 0.00316788 | + | 0.000930173i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.54976 | − | 0.995971i | 0.0618915 | − | 0.0397753i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.13555 | − | 1.31050i | −0.0452775 | − | 0.0522530i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.1909 | + | 37.6429i | −0.684361 | + | 1.49854i | 0.173595 | + | 0.984817i | \(0.444462\pi\) |
−0.857956 | + | 0.513724i | \(0.828266\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 24.6156 | − | 7.22779i | 0.978382 | − | 0.287279i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.42305 | + | 9.89751i | 0.0564719 | + | 0.392771i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.2467 | + | 26.8165i | 0.485231 | + | 1.06251i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.786199 | − | 5.46814i | 0.0311016 | − | 0.216316i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.16211 | + | 5.95739i | −0.203891 | + | 0.235303i | −0.848481 | − | 0.529225i | \(-0.822483\pi\) |
0.644590 | + | 0.764528i | \(0.277028\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.901584 | 0.0355550 | 0.0177775 | − | 0.999842i | \(-0.494341\pi\) | ||||
0.0177775 | + | 0.999842i | \(0.494341\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 10.1795 | 0.400818 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −15.6444 | + | 18.0546i | −0.615043 | + | 0.709798i | −0.974758 | − | 0.223265i | \(-0.928329\pi\) |
0.359715 | + | 0.933062i | \(0.382874\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.166681 | + | 1.15929i | −0.00654280 | + | 0.0455062i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.194687 | + | 0.426304i | 0.00763037 | + | 0.0167082i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −3.70623 | − | 25.7774i | −0.145036 | − | 1.00875i | −0.924195 | − | 0.381921i | \(-0.875263\pi\) |
0.779159 | − | 0.626826i | \(-0.215646\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.24149 | − | 0.658159i | 0.0875821 | − | 0.0257164i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.292791 | + | 0.641124i | −0.0114229 | + | 0.0250126i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.71790 | + | 5.44475i | 0.183783 | + | 0.212097i | 0.840164 | − | 0.542333i | \(-0.182459\pi\) |
−0.656380 | + | 0.754430i | \(0.727913\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.2606 | + | 18.8047i | −1.13811 | + | 0.731417i | −0.967237 | − | 0.253877i | \(-0.918294\pi\) |
−0.170870 | + | 0.985294i | \(0.554658\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 4.87331 | + | 3.13189i | 0.189264 | + | 0.121632i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.175509 | + | 0.0515340i | 0.00680593 | + | 0.00199840i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.81304 | − | 2.83667i | 0.0702012 | − | 0.109836i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 19.4765 | + | 5.71883i | 0.753007 | + | 0.221103i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.06965 | + | 0.687424i | 0.0412935 | + | 0.0265377i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 35.5143 | − | 22.8237i | 1.36898 | − | 0.879787i | 0.370186 | − | 0.928958i | \(-0.379294\pi\) |
0.998790 | + | 0.0491703i | \(0.0156577\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.84947 | + | 3.28846i | 0.109676 | + | 0.126573i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −6.87037 | + | 15.0440i | −0.264050 | + | 0.578189i | −0.994495 | − | 0.104783i | \(-0.966585\pi\) |
0.730445 | + | 0.682971i | \(0.239313\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.0217052 | + | 0.00637324i | −0.000832971 | + | 0.000244582i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.43602 | − | 30.8532i | −0.169989 | − | 1.18230i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.32613 | + | 5.09352i | 0.0890070 | + | 0.194898i | 0.948901 | − | 0.315575i | \(-0.102197\pi\) |
−0.859894 | + | 0.510473i | \(0.829470\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.60557 | − | 11.1670i | 0.0613456 | − | 0.426668i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −5.23249 | + | 6.03862i | −0.199632 | + | 0.230388i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −52.3447 | −1.99418 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −43.5246 | −1.65575 | −0.827876 | − | 0.560911i | \(-0.810451\pi\) | ||||
−0.827876 | + | 0.560911i | \(0.810451\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.00544453 | − | 0.00628333i | 0.000206821 | − | 0.000238684i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.26366 | − | 15.7441i | 0.0858656 | − | 0.597209i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.05836 | − | 2.31748i | −0.0400882 | − | 0.0877809i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.641427 | + | 4.46123i | 0.0242610 | + | 0.168739i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −26.6193 | + | 7.81613i | −1.00540 | + | 0.295211i | −0.742669 | − | 0.669659i | \(-0.766440\pi\) |
−0.262728 | + | 0.964870i | \(0.584622\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.03192 | − | 8.82867i | 0.152067 | − | 0.332980i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.0145074 | + | 0.0167425i | 0.000546382 | + | 0.000630559i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.395422 | + | 0.254122i | −0.0148714 | + | 0.00955725i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 30.9854 | + | 19.9131i | 1.16368 | + | 0.747853i | 0.972317 | − | 0.233666i | \(-0.0750723\pi\) |
0.191365 | + | 0.981519i | \(0.438709\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.18853 | − | 2.11074i | −0.269591 | − | 0.0791591i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 22.9397 | + | 10.4072i | 0.859100 | + | 0.389752i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.967499 | − | 0.284083i | −0.0361824 | − | 0.0106241i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −22.2585 | − | 14.3047i | −0.831260 | − | 0.534218i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.43230 | + | 2.20580i | −0.128003 | + | 0.0822626i | −0.603075 | − | 0.797684i | \(-0.706058\pi\) |
0.475072 | + | 0.879947i | \(0.342422\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0916907 | + | 0.105817i | 0.00341474 | + | 0.00394082i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.29049 | − | 2.82577i | 0.0479937 | − | 0.105091i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.673545 | − | 0.197771i | 0.0250148 | − | 0.00734501i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.509197 | + | 3.54154i | 0.0188851 | + | 0.131348i | 0.997083 | − | 0.0763270i | \(-0.0243193\pi\) |
−0.978198 | + | 0.207675i | \(0.933410\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 7.15615 | + | 15.6698i | 0.265043 | + | 0.580362i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.530610 | − | 3.69047i | 0.0196253 | − | 0.136497i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −28.7430 | + | 33.1712i | −1.06165 | + | 1.22521i | −0.0882450 | + | 0.996099i | \(0.528126\pi\) |
−0.973401 | + | 0.229106i | \(0.926420\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −13.5591 | −0.500136 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0.509195 | 0.0187564 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.34413 | + | 9.62964i | −0.306944 | + | 0.354232i | −0.888174 | − | 0.459507i | \(-0.848026\pi\) |
0.581230 | + | 0.813739i | \(0.302572\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.61443 | + | 32.0941i | −0.169515 | + | 1.17901i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.84107 | + | 10.6005i | 0.177602 | + | 0.388893i | 0.977407 | − | 0.211366i | \(-0.0677913\pi\) |
−0.799805 | + | 0.600259i | \(0.795064\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.77795 | + | 19.3211i | 0.101776 | + | 0.707870i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 7.47050 | − | 2.19354i | 0.273331 | − | 0.0802573i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.154594 | + | 0.338514i | −0.00564874 | + | 0.0123690i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.92446 | − | 2.22094i | −0.0702244 | − | 0.0810433i | 0.719550 | − | 0.694440i | \(-0.244348\pi\) |
−0.789775 | + | 0.613397i | \(0.789803\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.19933 | − | 1.41342i | 0.0801479 | − | 0.0515079i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.22107 | − | 1.42740i | −0.0808330 | − | 0.0519482i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 49.8893 | + | 14.6488i | 1.81326 | + | 0.532421i | 0.998853 | − | 0.0478768i | \(-0.0152455\pi\) |
0.814405 | + | 0.580297i | \(0.197064\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.00554614 | − | 2.22416i | −0.000201312 | − | 0.0807321i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 30.7881 | + | 9.04020i | 1.11607 | + | 0.327707i | 0.787218 | − | 0.616675i | \(-0.211521\pi\) |
0.328850 | + | 0.944382i | \(0.393339\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.365244 | + | 0.234728i | 0.0132227 | + | 0.00849773i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.450339 | + | 0.289415i | −0.0162820 | + | 0.0104638i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −13.4994 | − | 15.5791i | −0.487435 | − | 0.562530i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.446350 | + | 0.977371i | −0.0160958 | + | 0.0352449i | −0.917509 | − | 0.397715i | \(-0.869803\pi\) |
0.901413 | + | 0.432959i | \(0.142531\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 11.5567 | − | 3.39334i | 0.416203 | − | 0.122208i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −6.39658 | − | 44.4892i | −0.230069 | − | 1.60017i | −0.697799 | − | 0.716294i | \(-0.745837\pi\) |
0.467729 | − | 0.883872i | \(-0.345072\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.18197 | + | 4.77784i | 0.0783785 | + | 0.171625i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.0310266 | − | 0.215795i | 0.00111307 | − | 0.00774159i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 9.33835 | − | 10.7770i | 0.334581 | − | 0.386127i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.75296 | 0.0627259 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.05450 | 0.109159 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 12.5687 | − | 14.5051i | 0.448597 | − | 0.517709i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.81375 | + | 47.3906i | −0.242884 | + | 1.68929i | 0.394618 | + | 0.918845i | \(0.370877\pi\) |
−0.637502 | + | 0.770449i | \(0.720032\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5.36034 | − | 11.7375i | −0.190833 | − | 0.417866i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.0255017 | + | 0.177368i | 0.000906737 | + | 0.00630650i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.4728 | + | 6.30497i | −0.762520 | + | 0.223896i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 10.0012 | − | 21.8995i | 0.354705 | − | 0.776696i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −8.97210 | − | 10.3544i | −0.317808 | − | 0.366770i | 0.574259 | − | 0.818674i | \(-0.305290\pi\) |
−0.892067 | + | 0.451904i | \(0.850745\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.00682601 | − | 0.00438681i | 0.000241487 | − | 0.000155194i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.13560 | − | 0.729804i | −0.0401244 | − | 0.0257864i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.214589 | − | 0.0630090i | −0.00757268 | − | 0.00222354i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.166542 | − | 0.145038i | 0.00586984 | − | 0.00511192i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −24.6454 | − | 7.23654i | −0.867559 | − | 0.254738i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 40.9902 | + | 26.3428i | 1.44114 | + | 0.926164i | 0.999581 | + | 0.0289317i | \(0.00921052\pi\) |
0.441558 | + | 0.897233i | \(0.354426\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 32.2755 | − | 20.7422i | 1.13335 | − | 0.728357i | 0.167090 | − | 0.985942i | \(-0.446563\pi\) |
0.966256 | + | 0.257585i | \(0.0829267\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 31.0225 | + | 35.8019i | 1.08801 | + | 1.25563i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −7.06949 | + | 15.4800i | −0.247633 | + | 0.542241i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 20.0234 | − | 5.87940i | 0.700530 | − | 0.205694i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.0208253 | + | 0.144843i | 0.000727696 | + | 0.00506124i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 2.18554 | + | 4.78566i | 0.0762758 | + | 0.167021i | 0.943928 | − | 0.330150i | \(-0.107099\pi\) |
−0.867653 | + | 0.497171i | \(0.834372\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.56722 | − | 24.8106i | 0.124346 | − | 0.864842i | −0.828197 | − | 0.560437i | \(-0.810633\pi\) |
0.952543 | − | 0.304405i | \(-0.0984577\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.303706 | − | 0.350495i | 0.0105737 | − | 0.0122027i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −35.7629 | −1.24360 | −0.621799 | − | 0.783177i | \(-0.713598\pi\) | ||||
−0.621799 | + | 0.783177i | \(0.713598\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.4676 | −0.433019 | −0.216510 | − | 0.976281i | \(-0.569467\pi\) | ||||
−0.216510 | + | 0.976281i | \(0.569467\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −11.2004 | + | 12.9259i | −0.388537 | + | 0.448395i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.706772 | + | 4.91571i | −0.0244882 | + | 0.170319i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.00691 | − | 8.77391i | −0.138665 | − | 0.303634i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.25260 | + | 22.6223i | 0.112426 | + | 0.781943i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 7.30334 | − | 2.14445i | 0.252139 | − | 0.0740348i | −0.153220 | − | 0.988192i | \(-0.548964\pi\) |
0.405360 | + | 0.914157i | \(0.367146\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.8423 | + | 25.9311i | −0.408356 | + | 0.894175i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −10.9598 | − | 12.6483i | −0.377477 | − | 0.435632i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 3.99390 | − | 2.56672i | 0.137394 | − | 0.0882979i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.423911 | − | 0.272431i | −0.0145658 | − | 0.00936084i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −37.7467 | − | 11.0834i | −1.29546 | − | 0.380382i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −6.35989 | − | 9.84213i | −0.218014 | − | 0.337384i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 11.4129 | + | 3.35112i | 0.390769 | + | 0.114740i | 0.471214 | − | 0.882019i | \(-0.343816\pi\) |
−0.0804447 | + | 0.996759i | \(0.525634\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.52064 | − | 1.61991i | −0.0862040 | − | 0.0553999i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 17.8535 | − | 11.4737i | 0.609864 | − | 0.391936i | −0.198942 | − | 0.980011i | \(-0.563751\pi\) |
0.808806 | + | 0.588075i | \(0.200114\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −31.0647 | − | 35.8505i | −1.05991 | − | 1.22320i | −0.973916 | − | 0.226909i | \(-0.927138\pi\) |
−0.0859971 | − | 0.996295i | \(-0.527408\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.133063 | − | 0.291368i | 0.00453478 | − | 0.00992978i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.4800 | − | 4.25171i | 0.492905 | − | 0.144730i | −0.0258276 | − | 0.999666i | \(-0.508222\pi\) |
0.518733 | + | 0.854936i | \(0.326404\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.10751 | + | 21.6132i | 0.105658 | + | 0.734870i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −13.2781 | − | 29.0749i | −0.450947 | − | 0.987436i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.338328 | − | 2.35313i | 0.0114770 | − | 0.0798243i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.86899 | + | 6.77317i | −0.198863 | + | 0.229500i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.370552 | 0.0125413 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.0460493 | 0.00155675 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 16.3292 | − | 18.8449i | 0.551399 | − | 0.636348i | −0.409810 | − | 0.912171i | \(-0.634405\pi\) |
0.961208 | + | 0.275823i | \(0.0889503\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 7.87749 | − | 54.7892i | 0.265701 | − | 1.84799i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.96248 | + | 21.8148i | 0.335644 | + | 0.734959i | 0.999922 | − | 0.0125276i | \(-0.00398776\pi\) |
−0.664277 | + | 0.747486i | \(0.731260\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.39878 | + | 9.72874i | 0.0470728 | + | 0.327398i | 0.999727 | + | 0.0233440i | \(0.00743131\pi\) |
−0.952655 | + | 0.304054i | \(0.901660\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 9.09711 | − | 2.67115i | 0.305796 | − | 0.0897898i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 8.01369 | − | 17.5475i | 0.269073 | − | 0.589188i | −0.726071 | − | 0.687620i | \(-0.758655\pi\) |
0.995144 | + | 0.0984320i | \(0.0313827\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.301537 | + | 0.347992i | 0.0101132 | + | 0.0116713i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.15330 | − | 1.38384i | 0.0721382 | − | 0.0463604i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.0382065 | + | 0.0245538i | 0.00127853 | + | 0.000821663i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.03042 | − | 1.47706i | −0.168148 | − | 0.0493728i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 29.6491 | + | 25.5620i | 0.989956 | + | 0.853489i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 3.53779 | + | 1.03879i | 0.117992 | + | 0.0346456i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.41812 | − | 4.76733i | −0.247133 | − | 0.158823i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.394346 | − | 0.253431i | 0.0131230 | − | 0.00843364i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −17.0099 | − | 19.6305i | −0.565429 | − | 0.652539i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.71963 | + | 12.5243i | −0.189917 | + | 0.415861i | −0.980507 | − | 0.196486i | \(-0.937047\pi\) |
0.790589 | + | 0.612347i | \(0.209774\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 7.38758 | − | 2.16919i | 0.245031 | − | 0.0719475i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.73056 | − | 39.8569i | −0.189862 | − | 1.32052i | −0.832362 | − | 0.554233i | \(-0.813012\pi\) |
0.642500 | − | 0.766286i | \(-0.277897\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.02631 | + | 2.24731i | 0.0339660 | + | 0.0743752i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.46485 | − | 10.1882i | 0.0484263 | − | 0.336813i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.0704476 | − | 0.0813008i | 0.00232638 | − | 0.00268479i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.08011 | 0.134590 | 0.0672952 | − | 0.997733i | \(-0.478563\pi\) | ||||
0.0672952 | + | 0.997733i | \(0.478563\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 59.2948 | 1.95383 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −20.2046 | + | 23.3174i | −0.665044 | + | 0.767501i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.347733 | − | 2.41854i | 0.0114334 | − | 0.0795210i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.952764 | − | 2.08626i | −0.0312929 | − | 0.0685218i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −5.85823 | − | 40.7449i | −0.192202 | − | 1.33680i | −0.826163 | − | 0.563431i | \(-0.809481\pi\) |
0.633961 | − | 0.773365i | \(-0.281428\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −26.6712 | + | 7.83136i | −0.874112 | + | 0.256662i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −22.4283 | + | 49.1112i | −0.734271 | + | 1.60783i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.111237 | − | 0.128375i | −0.00363785 | − | 0.00419831i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.35151 | − | 2.79654i | 0.142158 | − | 0.0913591i | −0.467629 | − | 0.883925i | \(-0.654892\pi\) |
0.609786 | + | 0.792566i | \(0.291255\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 33.2748 | + | 21.3844i | 1.08588 | + | 0.697854i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 11.9496 | + | 3.50871i | 0.389545 | + | 0.114381i | 0.470639 | − | 0.882326i | \(-0.344023\pi\) |
−0.0810942 | + | 0.996706i | \(0.525841\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.89170 | − | 16.5072i | −0.159296 | − | 0.537549i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.192256 | + | 0.0564514i | 0.00625408 | + | 0.00183636i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −9.07236 | − | 5.83045i | −0.294812 | − | 0.189464i | 0.384870 | − | 0.922971i | \(-0.374246\pi\) |
−0.679683 | + | 0.733506i | \(0.737882\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.31148 | − | 2.12816i | 0.107495 | − | 0.0690830i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 28.6898 | + | 33.1098i | 0.930329 | + | 1.07366i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1.98816 | − | 4.35346i | 0.0644027 | − | 0.141022i | −0.874694 | − | 0.484676i | \(-0.838937\pi\) |
0.939096 | + | 0.343654i | \(0.111665\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.2158 | + | 4.46776i | −0.492371 | + | 0.144573i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.0463318 | − | 0.322245i | −0.00149769 | − | 0.0104167i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.215816 | − | 0.472571i | −0.00696906 | − | 0.0152601i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.485474 | − | 3.37655i | 0.0156605 | − | 0.108921i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 3.99196 | − | 4.60697i | 0.128639 | − | 0.148457i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 12.4850 | 0.401907 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.2050 | 0.360328 | 0.180164 | − | 0.983637i | \(-0.442337\pi\) | ||||
0.180164 | + | 0.983637i | \(0.442337\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.57693 | + | 4.12800i | −0.114908 | + | 0.132610i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.80594 | − | 26.4709i | 0.122138 | − | 0.849491i | −0.832988 | − | 0.553292i | \(-0.813372\pi\) |
0.955126 | − | 0.296200i | \(-0.0957193\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.304275 | − | 0.666270i | −0.00975462 | − | 0.0213596i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.16167 | + | 8.07962i | 0.0372034 | + | 0.258755i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 18.0299 | − | 5.29404i | 0.576826 | − | 0.169371i | 0.0197096 | − | 0.999806i | \(-0.493726\pi\) |
0.557117 | + | 0.830434i | \(0.311908\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.177938 | − | 0.389630i | 0.00568693 | − | 0.0124526i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −4.65728 | − | 5.37479i | −0.148695 | − | 0.171604i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −23.7263 | + | 15.2480i | −0.756751 | + | 0.486334i | −0.861244 | − | 0.508191i | \(-0.830314\pi\) |
0.104493 | + | 0.994526i | \(0.466678\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.20712 | − | 1.41843i | −0.0703246 | − | 0.0451949i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.000978829 | 0 | 0.000287410i | 3.11565e−5 | 0 | 9.14836e-6i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 7.03814 | − | 24.1927i | 0.223800 | − | 0.769283i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.6403 | − | 4.88603i | −0.528597 | − | 0.155210i | 0.00653499 | − | 0.999979i | \(-0.497920\pi\) |
−0.535132 | + | 0.844769i | \(0.679738\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 32.2316 | + | 20.7140i | 1.02284 | + | 0.657339i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −7.99986 | + | 5.14120i | −0.253613 | + | 0.162987i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.1736 | + | 23.2815i | 0.638903 | + | 0.737334i | 0.979181 | − | 0.202991i | \(-0.0650664\pi\) |
−0.340277 | + | 0.940325i | \(0.610521\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.41665 | − | 9.67112i | 0.139737 | − | 0.305981i |
(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 | 460.2.m.a.41.1 | ✓ | 30 | |
23.9 | even | 11 | inner | 460.2.m.a.101.1 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.a.41.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
460.2.m.a.101.1 | yes | 30 | 23.9 | even | 11 | inner |