Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(61,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([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("380.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.u (of order \(9\), degree \(6\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 21 x^{16} - 30 x^{15} + 192 x^{14} - 207 x^{13} + 1178 x^{12} - 705 x^{11} + 4413 x^{10} - 2224 x^{9} + 11430 x^{8} - 4101 x^{7} + 19237 x^{6} - 7125 x^{5} + \cdots + 5329 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 301.1 | ||
Root | \(-0.838693 - 1.45266i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 380.301 |
Dual form | 380.2.u.b.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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.57623 | + | 0.573700i | −0.910035 | + | 0.331226i | −0.754267 | − | 0.656568i | \(-0.772008\pi\) |
−0.155768 | + | 0.987794i | \(0.549785\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.173648 | − | 0.984808i | 0.0776578 | − | 0.440419i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.230636 | + | 0.399473i | 0.0871722 | + | 0.150987i | 0.906315 | − | 0.422603i | \(-0.138884\pi\) |
−0.819143 | + | 0.573590i | \(0.805550\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142773 | + | 0.119801i | −0.0475910 | + | 0.0399336i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.642179 | + | 1.11229i | −0.193624 | + | 0.335367i | −0.946449 | − | 0.322854i | \(-0.895358\pi\) |
0.752824 | + | 0.658221i | \(0.228691\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.58829 | + | 2.03397i | 1.54991 | + | 0.564122i | 0.968397 | − | 0.249412i | \(-0.0802375\pi\) |
0.581516 | + | 0.813535i | \(0.302460\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.291275 | + | 1.65190i | 0.0752069 | + | 0.426519i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.26171 | + | 3.57600i | 1.03362 | + | 0.867307i | 0.991277 | − | 0.131796i | \(-0.0420745\pi\) |
0.0423393 | + | 0.999103i | \(0.486519\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.93062 | + | 1.88419i | −0.901747 | + | 0.432264i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.592712 | − | 0.497345i | −0.129340 | − | 0.108530i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.379967 | + | 2.15490i | 0.0792287 | + | 0.449328i | 0.998453 | + | 0.0555949i | \(0.0177055\pi\) |
−0.919225 | + | 0.393733i | \(0.871183\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.67239 | − | 4.62872i | 0.514302 | − | 0.890797i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −7.31767 | + | 6.14026i | −1.35886 | + | 1.14022i | −0.382524 | + | 0.923945i | \(0.624945\pi\) |
−0.976333 | + | 0.216272i | \(0.930610\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.61929 | + | 8.00084i | 0.829648 | + | 1.43699i | 0.898314 | + | 0.439353i | \(0.144792\pi\) |
−0.0686661 | + | 0.997640i | \(0.521874\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.374101 | − | 2.12163i | 0.0651227 | − | 0.369329i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.433454 | − | 0.157764i | 0.0732671 | − | 0.0266670i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.90443 | 1.46388 | 0.731940 | − | 0.681369i | \(-0.238615\pi\) | ||||
0.731940 | + | 0.681369i | \(0.238615\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −9.97531 | −1.59733 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.53095 | − | 1.64913i | 0.707615 | − | 0.257551i | 0.0369563 | − | 0.999317i | \(-0.488234\pi\) |
0.670659 | + | 0.741766i | \(0.266012\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.655751 | + | 3.71895i | −0.100001 | + | 0.567134i | 0.893099 | + | 0.449861i | \(0.148526\pi\) |
−0.993100 | + | 0.117273i | \(0.962585\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.0931885 | + | 0.161407i | 0.0138917 | + | 0.0240612i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.24811 | + | 4.40369i | −0.765516 | + | 0.642344i | −0.939556 | − | 0.342395i | \(-0.888762\pi\) |
0.174041 | + | 0.984738i | \(0.444318\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.39361 | − | 5.87791i | 0.484802 | − | 0.839702i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8.76897 | − | 3.19164i | −1.22790 | − | 0.446919i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.37327 | − | 7.78821i | −0.188633 | − | 1.06979i | −0.921198 | − | 0.389095i | \(-0.872788\pi\) |
0.732564 | − | 0.680698i | \(-0.238323\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.983875 | + | 0.825569i | 0.132666 | + | 0.111320i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.11460 | − | 5.22492i | 0.677445 | − | 0.692057i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.10588 | − | 3.44524i | −0.534540 | − | 0.448532i | 0.335126 | − | 0.942173i | \(-0.391221\pi\) |
−0.869666 | + | 0.493641i | \(0.835666\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.76051 | − | 9.98434i | −0.225410 | − | 1.27836i | −0.861900 | − | 0.507079i | \(-0.830725\pi\) |
0.636490 | − | 0.771285i | \(-0.280386\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.0807859 | − | 0.0294036i | −0.0101781 | − | 0.00370451i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.97347 | − | 5.15020i | 0.368813 | − | 0.638804i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.05696 | − | 4.24330i | 0.617807 | − | 0.518401i | −0.279307 | − | 0.960202i | \(-0.590105\pi\) |
0.897113 | + | 0.441801i | \(0.145660\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.83518 | − | 3.17863i | −0.220930 | − | 0.382662i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.19711 | − | 6.78912i | 0.142070 | − | 0.805721i | −0.827603 | − | 0.561314i | \(-0.810296\pi\) |
0.969673 | − | 0.244406i | \(-0.0785931\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.3010 | + | 4.47721i | −1.43973 | + | 0.524017i | −0.939702 | − | 0.341994i | \(-0.888898\pi\) |
−0.500024 | + | 0.866012i | \(0.666675\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.67739 | 0.193688 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.592438 | −0.0675146 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.30465 | + | 0.474853i | −0.146784 | + | 0.0534251i | −0.414368 | − | 0.910110i | \(-0.635997\pi\) |
0.267583 | + | 0.963535i | \(0.413775\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.45971 | + | 8.27842i | −0.162190 | + | 0.919825i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.0660497 | − | 0.114402i | −0.00724990 | − | 0.0125572i | 0.862378 | − | 0.506265i | \(-0.168974\pi\) |
−0.869628 | + | 0.493708i | \(0.835641\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.26171 | − | 3.57600i | 0.462247 | − | 0.387871i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 8.01165 | − | 13.8766i | 0.858939 | − | 1.48773i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.89456 | + | 1.05353i | 0.306823 | + | 0.111674i | 0.490843 | − | 0.871248i | \(-0.336689\pi\) |
−0.184020 | + | 0.982922i | \(0.558911\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.476344 | + | 2.70148i | 0.0499344 | + | 0.283192i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −11.8711 | − | 9.96105i | −1.23098 | − | 1.03291i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.17302 | + | 4.19810i | 0.120350 | + | 0.430716i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.447812 | + | 0.375759i | 0.0454684 | + | 0.0381525i | 0.665239 | − | 0.746631i | \(-0.268330\pi\) |
−0.619770 | + | 0.784783i | \(0.712774\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.0415670 | − | 0.235738i | −0.00417764 | − | 0.0236926i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.06052 | − | 1.84188i | −0.503541 | − | 0.183274i | 0.0777450 | − | 0.996973i | \(-0.475228\pi\) |
−0.581286 | + | 0.813699i | \(0.697450\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.26492 | + | 2.19090i | −0.124636 | + | 0.215876i | −0.921591 | − | 0.388163i | \(-0.873110\pi\) |
0.796955 | + | 0.604039i | \(0.206443\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.592712 | + | 0.497345i | −0.0578428 | + | 0.0485359i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.63551 | − | 6.29689i | −0.351458 | − | 0.608743i | 0.635047 | − | 0.772473i | \(-0.280981\pi\) |
−0.986505 | + | 0.163730i | \(0.947647\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.19744 | + | 6.79102i | −0.114694 | + | 0.650462i | 0.872207 | + | 0.489136i | \(0.162688\pi\) |
−0.986901 | + | 0.161325i | \(0.948423\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −14.0354 | + | 5.10847i | −1.33218 | + | 0.484875i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.85398 | 0.926984 | 0.463492 | − | 0.886101i | \(-0.346596\pi\) | ||||
0.463492 | + | 0.886101i | \(0.346596\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.18815 | 0.204046 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.04153 | + | 0.379086i | −0.0962894 | + | 0.0350465i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.445612 | + | 2.52719i | −0.0408492 | + | 0.231667i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.67521 | + | 8.09771i | 0.425019 | + | 0.736155i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.19569 | + | 5.19881i | −0.558647 | + | 0.468760i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 18.1523 | + | 6.60689i | 1.61075 | + | 0.586267i | 0.981589 | − | 0.191005i | \(-0.0611746\pi\) |
0.629165 | + | 0.777271i | \(0.283397\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.09995 | − | 6.23811i | −0.0968449 | − | 0.549235i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.55776 | − | 6.34171i | −0.660324 | − | 0.554078i | 0.249860 | − | 0.968282i | \(-0.419615\pi\) |
−0.910184 | + | 0.414204i | \(0.864060\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.65923 | − | 1.13562i | −0.143873 | − | 0.0984705i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.09434 | − | 3.43556i | −0.352385 | − | 0.295686i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.85178 | + | 10.5020i | 0.158208 | + | 0.897242i | 0.955794 | + | 0.294037i | \(0.0949989\pi\) |
−0.797586 | + | 0.603205i | \(0.793890\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.23752 | − | 0.450422i | −0.104965 | − | 0.0382043i | 0.289004 | − | 0.957328i | \(-0.406676\pi\) |
−0.393969 | + | 0.919124i | \(0.628898\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.74582 | − | 9.95205i | 0.483885 | − | 0.838114i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −5.85104 | + | 4.90961i | −0.489289 | + | 0.410562i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.77627 | + | 8.27274i | 0.396648 | + | 0.687014i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.97695 | + | 11.2118i | −0.163056 | + | 0.924737i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −15.8692 | + | 5.77592i | −1.30006 | + | 0.473181i | −0.897015 | − | 0.442001i | \(-0.854269\pi\) |
−0.403041 | + | 0.915182i | \(0.632047\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 21.5094 | 1.75041 | 0.875206 | − | 0.483751i | \(-0.160726\pi\) | ||||
0.875206 | + | 0.483751i | \(0.160726\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.03686 | −0.0838256 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.68142 | − | 3.15978i | 0.697308 | − | 0.253799i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.0930096 | + | 0.527484i | −0.00742297 | + | 0.0420978i | −0.988294 | − | 0.152560i | \(-0.951248\pi\) |
0.980871 | + | 0.194657i | \(0.0623595\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 6.63268 | + | 11.4881i | 0.526006 | + | 0.911069i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.773192 | + | 0.648785i | −0.0609360 | + | 0.0511314i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.35598 | − | 4.08068i | 0.184535 | − | 0.319624i | −0.758885 | − | 0.651225i | \(-0.774255\pi\) |
0.943420 | + | 0.331601i | \(0.107589\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.02444 | − | 0.736836i | −0.157602 | − | 0.0573626i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.67217 | − | 15.1546i | −0.206779 | − | 1.17270i | −0.894616 | − | 0.446835i | \(-0.852551\pi\) |
0.687837 | − | 0.725865i | \(-0.258560\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 17.1334 | + | 14.3766i | 1.31795 | + | 1.10589i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.335459 | − | 0.739904i | 0.0256532 | − | 0.0565819i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −15.3406 | − | 12.8722i | −1.16632 | − | 0.978659i | −0.166348 | − | 0.986067i | \(-0.553197\pi\) |
−0.999973 | + | 0.00740809i | \(0.997642\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0800990 | − | 0.454264i | −0.00605492 | − | 0.0343392i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.44833 | + | 3.07494i | 0.635015 | + | 0.231127i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.47084 | − | 11.2078i | 0.483653 | − | 0.837712i | −0.516170 | − | 0.856486i | \(-0.672643\pi\) |
0.999824 | + | 0.0187736i | \(0.00597617\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.41021 | − | 4.53971i | 0.402138 | − | 0.337434i | −0.419181 | − | 0.907903i | \(-0.637683\pi\) |
0.821319 | + | 0.570469i | \(0.193238\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.50298 | + | 14.7276i | 0.628558 | + | 1.08869i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.54624 | − | 8.76915i | 0.113682 | − | 0.644721i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.71431 | + | 2.44381i | −0.490999 | + | 0.178709i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.46540 | 0.179331 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −23.1066 | −1.67194 | −0.835968 | − | 0.548778i | \(-0.815093\pi\) | ||||
−0.835968 | + | 0.548778i | \(0.815093\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.11202 | − | 2.58856i | 0.511934 | − | 0.186329i | −0.0731197 | − | 0.997323i | \(-0.523296\pi\) |
0.585054 | + | 0.810994i | \(0.301073\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.73219 | + | 9.82376i | −0.124045 | + | 0.703494i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.04381 | + | 1.80794i | 0.0743687 | + | 0.128810i | 0.900812 | − | 0.434210i | \(-0.142972\pi\) |
−0.826443 | + | 0.563021i | \(0.809639\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.17751 | + | 6.86174i | −0.579688 | + | 0.486416i | −0.884845 | − | 0.465886i | \(-0.845736\pi\) |
0.305157 | + | 0.952302i | \(0.401291\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.53655 | + | 9.58958i | −0.390518 | + | 0.676397i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.14059 | − | 1.50705i | −0.290612 | − | 0.105774i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.837285 | − | 4.74848i | −0.0584785 | − | 0.331648i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.312408 | − | 0.262142i | −0.0217139 | − | 0.0182201i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.428401 | − | 5.58197i | 0.0296331 | − | 0.386113i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.92530 | − | 1.61552i | −0.132543 | − | 0.111217i | 0.574106 | − | 0.818781i | \(-0.305350\pi\) |
−0.706649 | + | 0.707564i | \(0.749794\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.00801 | + | 11.3880i | 0.137586 | + | 0.780292i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.54858 | + | 1.29158i | 0.242011 | + | 0.0880848i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.13075 | + | 3.69056i | −0.144645 | + | 0.250532i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 16.8206 | − | 14.1142i | 1.13663 | − | 0.953748i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 16.5422 | + | 28.6519i | 1.11275 | + | 1.92734i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.994453 | + | 5.63982i | −0.0665935 | + | 0.377671i | 0.933237 | + | 0.359261i | \(0.116971\pi\) |
−0.999831 | + | 0.0184093i | \(0.994140\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.175137 | − | 0.0637447i | 0.0116758 | − | 0.00424965i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 10.9014 | 0.723551 | 0.361775 | − | 0.932265i | \(-0.382171\pi\) | ||||
0.361775 | + | 0.932265i | \(0.382171\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.764616 | 0.0505272 | 0.0252636 | − | 0.999681i | \(-0.491957\pi\) | ||||
0.0252636 | + | 0.999681i | \(0.491957\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.933817 | − | 0.339882i | 0.0614407 | − | 0.0223626i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.23090 | + | 12.6520i | −0.146151 | + | 0.828863i | 0.820285 | + | 0.571955i | \(0.193815\pi\) |
−0.966436 | + | 0.256908i | \(0.917296\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.42546 | + | 5.93307i | 0.223452 | + | 0.387031i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.78400 | − | 1.49695i | 0.115883 | − | 0.0972375i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.87692 | − | 8.44707i | 0.315462 | − | 0.546396i | −0.664074 | − | 0.747667i | \(-0.731174\pi\) |
0.979536 | + | 0.201271i | \(0.0645073\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.11167 | − | 3.31638i | −0.586934 | − | 0.213626i | 0.0314464 | − | 0.999505i | \(-0.489989\pi\) |
−0.618380 | + | 0.785879i | \(0.712211\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.335840 | + | 1.90464i | 0.0215441 | + | 0.122183i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.19932 | − | 4.36275i | −0.332172 | − | 0.278726i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −25.7979 | + | 2.53465i | −1.64148 | + | 0.161276i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.169741 | + | 0.142430i | 0.0107569 | + | 0.00902614i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.48507 | + | 14.0935i | 0.156856 | + | 0.889576i | 0.957069 | + | 0.289860i | \(0.0936087\pi\) |
−0.800213 | + | 0.599716i | \(0.795280\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.64088 | − | 0.961200i | −0.166030 | − | 0.0604301i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.66587 | + | 8.08153i | −0.292188 | + | 0.506085i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −12.5560 | + | 10.5357i | −0.783221 | + | 0.657201i | −0.944058 | − | 0.329780i | \(-0.893025\pi\) |
0.160836 | + | 0.986981i | \(0.448581\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.05368 | + | 3.55708i | 0.127610 | + | 0.221026i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.309159 | − | 1.75333i | 0.0191365 | − | 0.108528i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 28.3445 | − | 10.3166i | 1.74780 | − | 0.636146i | 0.748171 | − | 0.663506i | \(-0.230932\pi\) |
0.999626 | + | 0.0273600i | \(0.00871003\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.90836 | −0.485807 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.16689 | −0.316209 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −10.0213 | + | 3.64747i | −0.611012 | + | 0.222390i | −0.628946 | − | 0.777449i | \(-0.716513\pi\) |
0.0179339 | + | 0.999839i | \(0.494291\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.03825 | − | 28.5733i | 0.306052 | − | 1.73571i | −0.312460 | − | 0.949931i | \(-0.601153\pi\) |
0.618511 | − | 0.785776i | \(-0.287736\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.30067 | − | 3.98487i | −0.139243 | − | 0.241175i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.983875 | − | 0.825569i | 0.0593299 | − | 0.0497837i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.11556 | − | 14.0566i | 0.487617 | − | 0.844577i | −0.512282 | − | 0.858817i | \(-0.671200\pi\) |
0.999899 | + | 0.0142406i | \(0.00453307\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.61802 | − | 0.588910i | −0.0968681 | − | 0.0352571i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.339000 | + | 1.92256i | 0.0202230 | + | 0.114690i | 0.993248 | − | 0.116008i | \(-0.0370099\pi\) |
−0.973025 | + | 0.230699i | \(0.925899\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.3905 | + | 12.9142i | 0.914873 | + | 0.767670i | 0.973040 | − | 0.230637i | \(-0.0740810\pi\) |
−0.0581666 | + | 0.998307i | \(0.518525\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.25740 | − | 5.94419i | −0.252186 | − | 0.352103i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.70378 | + | 1.42964i | 0.100571 | + | 0.0843892i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.42238 | + | 13.7380i | 0.142493 | + | 0.808117i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.921426 | − | 0.335371i | −0.0540149 | − | 0.0196598i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 9.65324 | − | 16.7199i | 0.563948 | − | 0.976787i | −0.433199 | − | 0.901298i | \(-0.642615\pi\) |
0.997147 | − | 0.0754882i | \(-0.0240515\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.10588 | + | 3.44524i | −0.239053 | + | 0.200590i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.43231 | + | 5.94493i | 0.199163 | + | 0.344960i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.25964 | + | 12.8151i | −0.130678 | + | 0.741115i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.63686 | + | 0.595768i | −0.0943471 | + | 0.0343395i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 9.03322 | 0.518945 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.1384 | −0.580521 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.2195 | + | 3.71959i | −0.583257 | + | 0.212288i | −0.616761 | − | 0.787150i | \(-0.711556\pi\) |
0.0335038 | + | 0.999439i | \(0.489333\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.736878 | − | 4.17904i | 0.0419195 | − | 0.237737i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.62121 | + | 14.9324i | 0.488864 | + | 0.846737i | 0.999918 | − | 0.0128113i | \(-0.00407807\pi\) |
−0.511054 | + | 0.859549i | \(0.670745\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.00211 | − | 5.03637i | 0.339259 | − | 0.284672i | −0.457201 | − | 0.889364i | \(-0.651148\pi\) |
0.796460 | + | 0.604691i | \(0.206703\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.0429853 | + | 0.0744527i | −0.00242194 | + | 0.00419493i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −9.67697 | − | 3.52213i | −0.543513 | − | 0.197822i | 0.0556491 | − | 0.998450i | \(-0.482277\pi\) |
−0.599162 | + | 0.800628i | \(0.704499\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.13047 | − | 12.0825i | −0.119283 | − | 0.676490i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.34291 | + | 7.83963i | 0.521470 | + | 0.437566i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −23.4891 | − | 6.02602i | −1.30697 | − | 0.335297i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.55562 | − | 3.82262i | −0.252700 | − | 0.212041i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.00857 | − | 11.3912i | −0.111074 | − | 0.629933i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.96956 | − | 1.08083i | −0.163717 | − | 0.0595881i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.7428 | − | 28.9993i | 0.920266 | − | 1.59395i | 0.121262 | − | 0.992621i | \(-0.461306\pi\) |
0.799004 | − | 0.601326i | \(-0.205361\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.27131 | + | 1.06676i | −0.0696675 | + | 0.0584580i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.30070 | − | 5.71698i | −0.180336 | − | 0.312352i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.32250 | + | 24.5141i | −0.235462 | + | 1.33537i | 0.606177 | + | 0.795330i | \(0.292702\pi\) |
−0.841639 | + | 0.540041i | \(0.818409\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −15.5321 | + | 5.65322i | −0.843588 | + | 0.307041i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −11.8656 | −0.642560 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.35966 | 0.343389 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.44901 | + | 1.25534i | −0.185689 | + | 0.0675851i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.38162 | − | 24.8494i | 0.235218 | − | 1.33399i | −0.606937 | − | 0.794750i | \(-0.707602\pi\) |
0.842155 | − | 0.539236i | \(-0.181287\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −14.2024 | − | 24.5992i | −0.760236 | − | 1.31677i | −0.942729 | − | 0.333560i | \(-0.891750\pi\) |
0.182493 | − | 0.983207i | \(-0.441583\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 24.3488 | − | 20.4311i | 1.29964 | − | 1.09053i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 15.0606 | − | 26.0858i | 0.801596 | − | 1.38841i | −0.116969 | − | 0.993136i | \(-0.537318\pi\) |
0.918565 | − | 0.395270i | \(-0.129349\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.47811 | − | 2.35784i | −0.343822 | − | 0.125141i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.747464 | − | 4.23908i | −0.0395600 | − | 0.224356i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −26.1437 | − | 21.9372i | −1.37981 | − | 1.15780i | −0.969282 | − | 0.245952i | \(-0.920899\pi\) |
−0.410530 | − | 0.911847i | \(-0.634656\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 11.8996 | − | 14.8121i | 0.626296 | − | 0.779585i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −12.0148 | − | 10.0817i | −0.630616 | − | 0.529150i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.27314 | + | 12.8916i | 0.118981 | + | 0.674777i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −21.2362 | − | 7.72935i | −1.10852 | − | 0.403469i | −0.278071 | − | 0.960561i | \(-0.589695\pi\) |
−0.830451 | + | 0.557092i | \(0.811917\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.449330 | + | 0.778263i | −0.0233912 | + | 0.0405147i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.79446 | − | 2.34483i | 0.145081 | − | 0.121737i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.05955 | − | 10.4955i | −0.313752 | − | 0.543434i | 0.665420 | − | 0.746469i | \(-0.268253\pi\) |
−0.979171 | + | 0.203036i | \(0.934919\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.291275 | − | 1.65190i | 0.0150414 | − | 0.0853039i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −53.3824 | + | 19.4296i | −2.74933 | + | 1.00068i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.8034 | 1.78773 | 0.893866 | − | 0.448335i | \(-0.147983\pi\) | ||||
0.893866 | + | 0.448335i | \(0.147983\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −32.4025 | −1.66003 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 25.9413 | − | 9.44187i | 1.32554 | − | 0.482457i | 0.420310 | − | 0.907381i | \(-0.361921\pi\) |
0.905229 | + | 0.424924i | \(0.139699\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.102876 | + | 0.583438i | −0.00524304 | + | 0.0297347i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.351910 | − | 0.609525i | −0.0178886 | − | 0.0309839i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 16.6736 | − | 13.9908i | 0.845384 | − | 0.709362i | −0.113384 | − | 0.993551i | \(-0.536169\pi\) |
0.958768 | + | 0.284190i | \(0.0917246\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.08662 | + | 10.5423i | −0.307813 | + | 0.533148i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 15.5510 | + | 5.66009i | 0.784443 | + | 0.285514i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.241089 | + | 1.36728i | 0.0121305 | + | 0.0687956i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.534594 | + | 0.448577i | 0.0268305 | + | 0.0225134i | 0.656104 | − | 0.754670i | \(-0.272203\pi\) |
−0.629274 | + | 0.777184i | \(0.716648\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.26682 | + | 0.838091i | 0.163546 | + | 0.0419570i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.08896 | + | 6.78745i | 0.403944 | + | 0.338949i | 0.822016 | − | 0.569465i | \(-0.192850\pi\) |
−0.418072 | + | 0.908414i | \(0.637294\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.54044 | + | 54.1065i | 0.475243 | + | 2.69524i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 7.89918 | + | 2.87507i | 0.392513 | + | 0.142863i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.71824 | + | 9.90428i | −0.283443 | + | 0.490937i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.35982 | − | 7.85383i | 0.462814 | − | 0.388347i | −0.381351 | − | 0.924430i | \(-0.624541\pi\) |
0.844165 | + | 0.536083i | \(0.180097\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −8.94379 | − | 15.4911i | −0.441165 | − | 0.764119i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.429318 | − | 2.43478i | 0.0211254 | − | 0.119808i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.124133 | + | 0.0451807i | −0.00609344 | + | 0.00221783i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.20902 | 0.108176 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 26.6471 | 1.30180 | 0.650899 | − | 0.759165i | \(-0.274392\pi\) | ||||
0.650899 | + | 0.759165i | \(0.274392\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.4385 | + | 5.25519i | −0.703690 | + | 0.256122i | −0.668985 | − | 0.743276i | \(-0.733271\pi\) |
−0.0347043 | + | 0.999398i | \(0.511049\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.221723 | − | 1.25746i | 0.0107806 | − | 0.0611396i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.78163 | − | 4.81793i | −0.134929 | − | 0.233704i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.58244 | − | 3.00603i | 0.173366 | − | 0.145472i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.40593 | − | 11.0954i | 0.309281 | − | 0.535691i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −36.0199 | − | 13.1102i | −1.73502 | − | 0.631494i | −0.736049 | − | 0.676928i | \(-0.763311\pi\) |
−0.998967 | + | 0.0454340i | \(0.985533\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.71443 | − | 32.4082i | −0.274618 | − | 1.55744i | −0.740172 | − | 0.672417i | \(-0.765256\pi\) |
0.465554 | − | 0.885019i | \(-0.345855\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −12.2746 | − | 10.2996i | −0.588520 | − | 0.493827i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −5.55376 | − | 7.75418i | −0.265673 | − | 0.370933i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.1190 | − | 15.2037i | −0.864775 | − | 0.725632i | 0.0982162 | − | 0.995165i | \(-0.468686\pi\) |
−0.962991 | + | 0.269533i | \(0.913131\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.219662 | + | 1.24577i | 0.0104601 | + | 0.0593222i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.5447 | + | 5.65781i | 0.738551 | + | 0.268811i | 0.683780 | − | 0.729688i | \(-0.260335\pi\) |
0.0547713 | + | 0.998499i | \(0.482557\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.54016 | − | 2.66764i | 0.0730107 | − | 0.126458i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 21.6998 | − | 18.2083i | 1.02637 | − | 0.861224i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.6752 | + | 25.4181i | 0.692563 | + | 1.19955i | 0.970995 | + | 0.239099i | \(0.0768520\pi\) |
−0.278432 | + | 0.960456i | \(0.589815\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.07537 | + | 6.09875i | −0.0506374 | + | 0.287179i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −33.9037 | + | 12.3399i | −1.59294 | + | 0.579781i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.74316 | 0.128601 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.48753 | −0.256696 | −0.128348 | − | 0.991729i | \(-0.540967\pi\) | ||||
−0.128348 | + | 0.991729i | \(0.540967\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 27.9412 | − | 10.1698i | 1.30419 | − | 0.474685i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.76350 | + | 32.6864i | −0.268433 | + | 1.52236i | 0.490646 | + | 0.871359i | \(0.336761\pi\) |
−0.759079 | + | 0.650999i | \(0.774350\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.07020 | + | 10.5139i | 0.282106 | + | 0.488622i | 0.971903 | − | 0.235381i | \(-0.0756336\pi\) |
−0.689797 | + | 0.724003i | \(0.742300\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −11.8711 | + | 9.96105i | −0.550510 | + | 0.461933i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −10.2092 | + | 17.6828i | −0.472425 | + | 0.818264i | −0.999502 | − | 0.0315536i | \(-0.989955\pi\) |
0.527077 | + | 0.849817i | \(0.323288\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.86140 | + | 1.04147i | 0.132127 | + | 0.0480904i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.156013 | − | 0.884793i | −0.00718870 | − | 0.0407691i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.71543 | − | 3.11761i | −0.170835 | − | 0.143348i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.33801 | − | 0.426210i | 0.199042 | − | 0.0195559i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.12910 | + | 0.947428i | 0.0516980 | + | 0.0433798i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 1.98862 | + | 11.2780i | 0.0908621 | + | 0.515305i | 0.995937 | + | 0.0900526i | \(0.0287035\pi\) |
−0.905075 | + | 0.425252i | \(0.860185\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 49.7606 | + | 18.1114i | 2.26889 | + | 0.825807i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.846518 | − | 1.46621i | 0.0385179 | − | 0.0667150i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.447812 | − | 0.375759i | 0.0203341 | − | 0.0170623i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.46021 | + | 11.1894i | 0.292740 | + | 0.507041i | 0.974457 | − | 0.224575i | \(-0.0720995\pi\) |
−0.681716 | + | 0.731617i | \(0.738766\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.37248 | + | 7.78371i | −0.0620656 | + | 0.351992i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 30.1324 | − | 10.9673i | 1.35986 | − | 0.494947i | 0.443846 | − | 0.896103i | \(-0.353614\pi\) |
0.916010 | + | 0.401156i | \(0.131391\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −53.1433 | −2.39346 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.239375 | −0.0107591 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.98817 | − | 1.08760i | 0.134038 | − | 0.0487857i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.339187 | + | 1.92363i | −0.0151841 | + | 0.0861133i | −0.991458 | − | 0.130425i | \(-0.958366\pi\) |
0.976274 | + | 0.216539i | \(0.0694768\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.9062 | + | 22.3541i | 0.576604 | + | 0.998708i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 20.8314 | − | 17.4796i | 0.928824 | − | 0.779376i | −0.0467817 | − | 0.998905i | \(-0.514897\pi\) |
0.975606 | + | 0.219529i | \(0.0704521\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.69265 | + | 4.66380i | −0.119821 | + | 0.207537i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −35.2540 | − | 12.8314i | −1.56568 | − | 0.569863i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 4.27733 | + | 24.2580i | 0.189589 | + | 1.07521i | 0.919916 | + | 0.392116i | \(0.128257\pi\) |
−0.730326 | + | 0.683098i | \(0.760632\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.62558 | − | 3.88133i | −0.204624 | − | 0.171700i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.78277 | + | 23.2291i | −0.0787110 | + | 1.02559i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.93797 | + | 1.62615i | 0.0853970 | + | 0.0716566i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.52794 | − | 8.66536i | −0.0671986 | − | 0.381102i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 31.5650 | + | 11.4887i | 1.38555 | + | 0.504299i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.800476 | − | 1.38646i | 0.0350695 | − | 0.0607421i | −0.847958 | − | 0.530064i | \(-0.822168\pi\) |
0.883027 | + | 0.469321i | \(0.155501\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.61410 | + | 3.87169i | −0.201760 | + | 0.169297i | −0.738070 | − | 0.674724i | \(-0.764262\pi\) |
0.536309 | + | 0.844021i | \(0.319818\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.386866 | + | 0.670071i | 0.0168842 | + | 0.0292443i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −8.92493 | + | 50.6158i | −0.388776 | + | 2.20486i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.1137 | − | 6.22888i | 0.744074 | − | 0.270821i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.998952 | 0.0433508 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 28.6745 | 1.24203 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.83252 | + | 2.48684i | −0.295396 | + | 0.107515i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.76959 | + | 21.3784i | −0.162670 | + | 0.922546i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.35861 | + | 7.54934i | 0.187739 | + | 0.325173i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.7515 | + | 14.8952i | −0.763194 | + | 0.640396i | −0.938956 | − | 0.344037i | \(-0.888206\pi\) |
0.175762 | + | 0.984433i | \(0.443761\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −5.92330 | + | 10.2595i | −0.254193 | + | 0.440275i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 6.47992 | + | 2.35850i | 0.277569 | + | 0.101027i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.25083 | + | 24.1076i | 0.181752 | + | 1.03077i | 0.930058 | + | 0.367414i | \(0.119757\pi\) |
−0.748305 | + | 0.663355i | \(0.769132\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.44749 | + | 1.21459i | 0.0617772 | + | 0.0518372i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 17.1936 | − | 37.9230i | 0.732472 | − | 1.61557i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.490590 | − | 0.411654i | −0.0208620 | − | 0.0175053i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.59364 | + | 14.7093i | 0.110094 | + | 0.624373i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −20.8341 | − | 7.58301i | −0.882771 | − | 0.321302i | −0.139443 | − | 0.990230i | \(-0.544531\pi\) |
−0.743327 | + | 0.668928i | \(0.766754\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.2288 | + | 19.4488i | −0.474926 | + | 0.822596i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.18127 | − | 7.70400i | 0.387633 | − | 0.325263i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.331404 | − | 0.574008i | −0.0139670 | − | 0.0241916i | 0.858957 | − | 0.512047i | \(-0.171113\pi\) |
−0.872924 | + | 0.487855i | \(0.837779\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.71112 | − | 9.70427i | 0.0719876 | − | 0.408262i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.64367 | + | 1.32619i | −0.153020 | + | 0.0556947i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.63574 | 0.110496 | 0.0552480 | − | 0.998473i | \(-0.482405\pi\) | ||||
0.0552480 | + | 0.998473i | \(0.482405\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −38.1084 | −1.59479 | −0.797393 | − | 0.603461i | \(-0.793788\pi\) | ||||
−0.797393 | + | 0.603461i | \(0.793788\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 36.4213 | − | 13.2563i | 1.52152 | − | 0.553788i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.379967 | − | 2.15490i | 0.0158457 | − | 0.0898656i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −21.8375 | − | 37.8237i | −0.909109 | − | 1.57462i | −0.815305 | − | 0.579032i | \(-0.803431\pi\) |
−0.0938036 | − | 0.995591i | \(-0.529903\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −9.72510 | + | 8.16033i | −0.404161 | + | 0.339132i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.0304669 | − | 0.0527702i | 0.00126398 | − | 0.00218928i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.54461 | + | 3.47395i | 0.395297 | + | 0.143876i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.192467 | + | 1.09153i | 0.00795753 | + | 0.0451294i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 28.1433 | + | 23.6150i | 1.16160 | + | 0.974696i | 0.999926 | − | 0.0121486i | \(-0.00386711\pi\) |
0.161671 | + | 0.986845i | \(0.448312\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −33.2318 | − | 22.7447i | −1.36929 | − | 0.937177i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.68250 | − | 2.25089i | −0.110343 | − | 0.0925892i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.48665 | − | 8.43118i | −0.0610492 | − | 0.346227i | −0.999998 | − | 0.00216936i | \(-0.999309\pi\) |
0.938948 | − | 0.344058i | \(-0.111802\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.41142 | + | 0.877685i | 0.0988585 | + | 0.0359816i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.95303 | − | 15.5071i | 0.366423 | − | 0.634663i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.3426 | − | 13.7131i | 0.667740 | − | 0.560301i | −0.244655 | − | 0.969610i | \(-0.578675\pi\) |
0.912396 | + | 0.409310i | \(0.134230\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.27120 | + | 9.12999i | 0.215017 | + | 0.372420i | 0.953278 | − | 0.302095i | \(-0.0976860\pi\) |
−0.738261 | + | 0.674515i | \(0.764353\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.213648 | + | 1.21166i | −0.00870041 | + | 0.0493425i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 8.78653 | − | 3.19803i | 0.357223 | − | 0.130019i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.51930 | −0.224022 | −0.112011 | − | 0.993707i | \(-0.535729\pi\) | ||||
−0.112011 | + | 0.993707i | \(0.535729\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 7.39110 | 0.299502 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −38.2850 | + | 13.9346i | −1.54884 | + | 0.563733i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.65334 | + | 20.7191i | −0.147557 | + | 0.836837i | 0.817722 | + | 0.575614i | \(0.195237\pi\) |
−0.965279 | + | 0.261223i | \(0.915874\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.04395 | + | 7.00433i | 0.163068 | + | 0.282442i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 6.98028 | − | 5.85715i | 0.281015 | − | 0.235800i | −0.491375 | − | 0.870948i | \(-0.663505\pi\) |
0.772390 | + | 0.635148i | \(0.219061\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.64698 | + | 9.78086i | −0.226971 | + | 0.393126i | −0.956909 | − | 0.290388i | \(-0.906216\pi\) |
0.729938 | + | 0.683514i | \(0.239549\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 10.9899 | + | 3.99998i | 0.441008 | + | 0.160514i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.246731 | + | 1.39928i | 0.00988507 | + | 0.0560610i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.52712 | + | 9.04423i | 0.100923 | + | 0.361192i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 37.9481 | + | 31.8422i | 1.51309 | + | 1.26963i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.07783 | − | 6.11268i | −0.0429077 | − | 0.243342i | 0.955809 | − | 0.293989i | \(-0.0949828\pi\) |
−0.998717 | + | 0.0506469i | \(0.983872\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 3.96153 | + | 1.44188i | 0.157457 | + | 0.0573096i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 9.65863 | − | 16.7292i | 0.383291 | − | 0.663879i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 30.9200 | − | 25.9450i | 1.22510 | − | 1.02798i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.642428 | + | 1.11272i | 0.0254141 | + | 0.0440185i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.93315 | + | 16.6347i | −0.115852 | + | 0.657032i | 0.870472 | + | 0.492218i | \(0.163814\pi\) |
−0.986325 | + | 0.164814i | \(0.947298\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.6034 | + | 7.86301i | −0.851957 | + | 0.310087i | −0.730838 | − | 0.682551i | \(-0.760870\pi\) |
−0.121119 | + | 0.992638i | \(0.538648\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.33434 | −0.249415 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 12.9497 | 0.509105 | 0.254553 | − | 0.967059i | \(-0.418072\pi\) | ||||
0.254553 | + | 0.967059i | \(0.418072\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.46880 | − | 2.35445i | 0.253923 | − | 0.0924203i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.24127 | − | 7.03957i | 0.0486491 | − | 0.275903i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.15557 | − | 8.92972i | −0.201753 | − | 0.349447i | 0.747340 | − | 0.664442i | \(-0.231331\pi\) |
−0.949093 | + | 0.314995i | \(0.897997\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.55776 | + | 6.34171i | −0.295306 | + | 0.247791i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 1.21988 | − | 2.11290i | 0.0475921 | − | 0.0824320i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 17.7370 | + | 6.45573i | 0.690934 | + | 0.251480i | 0.663535 | − | 0.748145i | \(-0.269055\pi\) |
0.0273992 | + | 0.999625i | \(0.491277\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.53848 | − | 25.7390i | −0.176526 | − | 1.00113i | −0.936367 | − | 0.351022i | \(-0.885834\pi\) |
0.759841 | − | 0.650109i | \(-0.225277\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −42.5119 | − | 35.6717i | −1.65102 | − | 1.38537i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.40649 | + | 1.43682i | −0.0545412 | + | 0.0557176i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −16.0121 | − | 13.4358i | −0.619992 | − | 0.520235i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.66808 | − | 9.46016i | −0.0644918 | − | 0.365751i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 12.2360 | + | 4.45354i | 0.472366 | + | 0.171927i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.44003 | − | 4.22625i | 0.0940562 | − | 0.162910i | −0.815158 | − | 0.579239i | \(-0.803350\pi\) |
0.909214 | + | 0.416328i | \(0.136683\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.09434 | + | 3.43556i | −0.157591 | + | 0.132235i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 5.91099 | + | 10.2381i | 0.227178 | + | 0.393484i | 0.956971 | − | 0.290185i | \(-0.0937168\pi\) |
−0.729793 | + | 0.683668i | \(0.760383\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.0468240 | + | 0.265552i | −0.00179694 | + | 0.0101910i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −17.1831 | + | 6.25412i | −0.658456 | + | 0.239659i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.10522 | −0.0422901 | −0.0211450 | − | 0.999776i | \(-0.506731\pi\) | ||||
−0.0211450 | + | 0.999776i | \(0.506731\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.6640 | 0.407449 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.20521 | + | 0.438660i | −0.0459816 | + | 0.0167359i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 8.16676 | − | 46.3160i | 0.311129 | − | 1.76450i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.74026 | + | 11.6745i | 0.256412 | + | 0.444118i | 0.965278 | − | 0.261225i | \(-0.0841264\pi\) |
−0.708866 | + | 0.705343i | \(0.750793\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.0845843 | − | 0.0709746i | 0.00321309 | − | 0.00269610i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.658472 | + | 1.14051i | −0.0249773 | + | 0.0432619i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 25.2069 | + | 9.17454i | 0.954778 | + | 0.347511i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3.74207 | − | 21.2223i | −0.141538 | − | 0.802703i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 19.0387 | + | 15.9754i | 0.719082 | + | 0.603381i | 0.927131 | − | 0.374737i | \(-0.122267\pi\) |
−0.208049 | + | 0.978118i | \(0.566711\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −35.0000 | + | 16.7777i | −1.32005 | + | 0.632782i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −8.80311 | − | 7.38668i | −0.331544 | − | 0.278199i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.431357 | − | 2.44635i | −0.0162229 | − | 0.0920044i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.71534 | − | 0.624331i | −0.0644208 | − | 0.0234473i | 0.309609 | − | 0.950864i | \(-0.399802\pi\) |
−0.374030 | + | 0.927417i | \(0.622024\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.129381 | − | 0.224094i | 0.00485216 | − | 0.00840419i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −15.4858 | + | 12.9942i | −0.579950 | + | 0.486635i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.81900 | + | 6.61470i | 0.142822 | + | 0.247376i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.84105 | + | 16.1124i | −0.106101 | + | 0.601728i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −30.6963 | + | 11.1725i | −1.14478 | + | 0.416665i | −0.843636 | − | 0.536915i | \(-0.819590\pi\) |
−0.301141 | + | 0.953580i | \(0.597367\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.16694 | −0.0434592 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 16.2647 | 0.604889 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 8.97645 | − | 3.26716i | 0.333377 | − | 0.121339i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.76543 | − | 15.6835i | 0.102564 | − | 0.581670i | −0.889601 | − | 0.456738i | \(-0.849018\pi\) |
0.992165 | − | 0.124932i | \(-0.0398713\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −14.2313 | − | 24.6492i | −0.527083 | − | 0.912935i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −16.0936 | + | 13.5041i | −0.595242 | + | 0.499467i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.14652 | + | 10.6461i | −0.227027 | + | 0.393222i | −0.956926 | − | 0.290333i | \(-0.906234\pi\) |
0.729899 | + | 0.683555i | \(0.239567\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 10.6982 | + | 3.89383i | 0.394610 | + | 0.143626i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.47229 | + | 8.34975i | 0.0542324 | + | 0.307567i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.4726 | + | 17.1786i | 0.753098 | + | 0.631924i | 0.936320 | − | 0.351147i | \(-0.114208\pi\) |
−0.183222 | + | 0.983071i | \(0.558653\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 39.2092 | − | 18.7954i | 1.44039 | − | 0.690467i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.9203 | − | 9.16320i | −0.400626 | − | 0.336165i | 0.420109 | − | 0.907473i | \(-0.361992\pi\) |
−0.820736 | + | 0.571308i | \(0.806436\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.93251 | + | 16.6311i | 0.107439 | + | 0.609316i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.0231355 | + | 0.00842064i | 0.000846485 | + | 0.000308095i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.67696 | − | 2.90458i | 0.0612747 | − | 0.106131i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.50411 | + | 7.13580i | −0.310319 | + | 0.260389i | −0.784624 | − | 0.619972i | \(-0.787144\pi\) |
0.474305 | + | 0.880361i | \(0.342700\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −12.0025 | − | 20.7889i | −0.437395 | − | 0.757590i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.73507 | − | 21.1826i | 0.135933 | − | 0.770915i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.08443 | + | 0.758670i | −0.0757599 | + | 0.0275743i | −0.379622 | − | 0.925142i | \(-0.623946\pi\) |
0.303862 | + | 0.952716i | \(0.401724\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.71406 | 0.171110 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −49.1007 | −1.77990 | −0.889950 | − | 0.456058i | \(-0.849261\pi\) | ||||
−0.889950 | + | 0.456058i | \(0.849261\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.98900 | + | 1.08791i | −0.108209 | + | 0.0393849i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.180050 | + | 1.02111i | −0.00650971 | + | 0.0369184i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −15.9373 | − | 27.6043i | −0.575463 | − | 0.996732i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.6995 | − | 20.7254i | 0.890687 | − | 0.747376i | −0.0776605 | − | 0.996980i | \(-0.524745\pi\) |
0.968348 | + | 0.249604i | \(0.0803006\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.7468 | − | 23.8101i | 0.495077 | − | 0.857499i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 5.75551 | + | 2.09483i | 0.207011 | + | 0.0753459i | 0.443445 | − | 0.896302i | \(-0.353756\pi\) |
−0.236433 | + | 0.971648i | \(0.575979\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.60426 | − | 9.09822i | −0.0576268 | − | 0.326818i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −5.27777 | − | 4.42857i | −0.189339 | − | 0.158874i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −14.7022 | + | 15.0193i | −0.526760 | + | 0.538122i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.78270 | + | 5.69136i | 0.242704 | + | 0.203653i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 8.86583 | + | 50.2806i | 0.316839 | + | 1.79688i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.503319 | + | 0.183193i | 0.0179642 | + | 0.00653844i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.55427 | + | 13.0844i | −0.269281 | + | 0.466408i | −0.968676 | − | 0.248327i | \(-0.920119\pi\) |
0.699396 | + | 0.714735i | \(0.253453\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −38.7588 | + | 32.5225i | −1.37985 | + | 1.15783i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.27268 | + | 3.93640i | 0.0808073 | + | 0.139962i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.4696 | − | 59.3763i | 0.371788 | − | 2.10851i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 12.4654 | − | 4.53702i | 0.442101 | − | 0.160912i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 34.3148 | 1.21549 | 0.607747 | − | 0.794131i | \(-0.292074\pi\) | ||||
0.607747 | + | 0.794131i | \(0.292074\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −38.1135 | −1.34836 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.539479 | + | 0.196354i | −0.0190616 | + | 0.00693784i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.91952 | − | 16.5574i | 0.103028 | − | 0.584299i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.504665 | + | 0.874106i | 0.0177871 | + | 0.0308082i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 13.7034 | − | 11.4985i | 0.482381 | − | 0.404766i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −11.4159 | + | 19.7729i | −0.401361 | + | 0.695177i | −0.993890 | − | 0.110372i | \(-0.964796\pi\) |
0.592530 | + | 0.805548i | \(0.298129\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −37.4959 | − | 13.6474i | −1.31666 | − | 0.479225i | −0.414274 | − | 0.910152i | \(-0.635964\pi\) |
−0.902387 | + | 0.430927i | \(0.858187\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.45109 | + | 47.9285i | 0.296393 | + | 1.68093i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −3.60958 | − | 3.02879i | −0.126438 | − | 0.106094i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.42971 | − | 15.8534i | −0.154976 | − | 0.554639i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.391649 | − | 0.328632i | −0.0136853 | − | 0.0114833i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.25236 | − | 18.4451i | −0.113508 | − | 0.643737i | −0.987478 | − | 0.157757i | \(-0.949574\pi\) |
0.873970 | − | 0.485980i | \(-0.161537\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.59210 | − | 1.67139i | −0.160070 | − | 0.0582609i | 0.260742 | − | 0.965408i | \(-0.416033\pi\) |
−0.420813 | + | 0.907148i | \(0.638255\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −1.07718 | + | 1.86573i | −0.0375027 | + | 0.0649565i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −15.1382 | + | 12.7024i | −0.526406 | + | 0.441707i | −0.866858 | − | 0.498555i | \(-0.833864\pi\) |
0.340452 | + | 0.940262i | \(0.389420\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.57583 | + | 7.92558i | 0.158925 | + | 0.275267i | 0.934481 | − | 0.356012i | \(-0.115864\pi\) |
−0.775556 | + | 0.631279i | \(0.782530\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4.72772 | + | 26.8122i | −0.164003 | + | 0.930106i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 35.4820 | − | 12.9144i | 1.22938 | − | 0.447457i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −15.3884 | −0.532538 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 49.3782 | 1.70676 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −45.4522 | + | 16.5433i | −1.56919 | + | 0.571137i | −0.972817 | − | 0.231574i | \(-0.925612\pi\) |
−0.596368 | + | 0.802711i | \(0.703390\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.8098 | − | 61.3053i | 0.372751 | − | 2.11398i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.63731 | − | 2.83591i | −0.0563921 | − | 0.0976740i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 17.1334 | − | 14.3766i | 0.589407 | − | 0.494571i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.15654 | + | 3.73524i | −0.0740998 | + | 0.128345i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −31.6679 | − | 11.5262i | −1.08684 | − | 0.395577i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.38339 | + | 19.1882i | 0.115981 | + | 0.657762i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.09983 | − | 2.60107i | −0.106136 | − | 0.0890589i | 0.588175 | − | 0.808734i | \(-0.299847\pi\) |
−0.694312 | + | 0.719675i | \(0.744291\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.670412 | − | 0.458846i | −0.0229276 | − | 0.0156922i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 15.6271 | + | 13.1127i | 0.533810 | + | 0.447920i | 0.869415 | − | 0.494083i | \(-0.164496\pi\) |
−0.335605 | + | 0.942003i | \(0.608941\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.99981 | − | 51.0405i | −0.307070 | − | 1.74148i | −0.613600 | − | 0.789617i | \(-0.710279\pi\) |
0.306530 | − | 0.951861i | \(-0.400832\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.50573 | − | 1.27598i | −0.119475 | − | 0.0434854i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −9.45039 | + | 16.3686i | −0.321695 | + | 0.557192i | −0.980838 | − | 0.194826i | \(-0.937586\pi\) |
0.659143 | + | 0.752018i | \(0.270919\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −15.3406 | + | 12.8722i | −0.521594 | + | 0.437670i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11.6997 | − | 20.2645i | −0.397343 | − | 0.688217i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.309645 | − | 1.75608i | 0.0105040 | − | 0.0595710i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 36.8905 | − | 13.4271i | 1.24999 | − | 0.454959i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.108952 | −0.00368746 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.461272 | −0.0155938 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.7646 | − | 4.28197i | 0.397263 | − | 0.144592i | −0.135661 | − | 0.990755i | \(-0.543316\pi\) |
0.532923 | + | 0.846164i | \(0.321093\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −5.62349 | + | 31.8924i | −0.189676 | + | 1.07570i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.19948 | − | 14.2019i | −0.276248 | − | 0.478475i | 0.694202 | − | 0.719781i | \(-0.255758\pi\) |
−0.970449 | + | 0.241306i | \(0.922424\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −16.8404 | + | 14.1307i | −0.566723 | + | 0.475537i | −0.880557 | − | 0.473941i | \(-0.842831\pi\) |
0.313834 | + | 0.949478i | \(0.398387\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.49526 | − | 7.78602i | 0.151107 | − | 0.261724i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 10.6896 | + | 3.89071i | 0.358923 | + | 0.130637i | 0.515186 | − | 0.857078i | \(-0.327723\pi\) |
−0.156264 | + | 0.987715i | \(0.549945\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.54729 | + | 8.77514i | 0.0518946 | + | 0.294309i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −8.27059 | − | 6.93985i | −0.277075 | − | 0.232494i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 12.3310 | − | 27.1977i | 0.412640 | − | 0.910137i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9.91391 | − | 8.31875i | −0.331385 | − | 0.278065i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.79029 | − | 21.4958i | −0.126554 | − | 0.717724i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −82.9296 | − | 30.1839i | −2.76586 | − | 1.00669i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 21.9981 | − | 38.1019i | 0.732865 | − | 1.26936i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.23827 | − | 1.87813i | 0.0744850 | − | 0.0625003i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −3.53127 | − | 6.11633i | −0.117383 | − | 0.203314i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 8.68002 | − | 49.2269i | 0.288215 | − | 1.63455i | −0.405353 | − | 0.914160i | \(-0.632851\pi\) |
0.693568 | − | 0.720391i | \(-0.256037\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.943165 | − | 0.343284i | 0.0312828 | − | 0.0113860i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 13.9854 | 0.463358 | 0.231679 | − | 0.972792i | \(-0.425578\pi\) | ||||
0.231679 | + | 0.972792i | \(0.425578\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.169663 | 0.00561503 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 15.9804 | − | 5.81638i | 0.528295 | − | 0.192284i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.790253 | − | 4.48175i | 0.0260965 | − | 0.148000i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.97698 | + | 8.62038i | 0.164175 | + | 0.284360i | 0.936362 | − | 0.351036i | \(-0.114170\pi\) |
−0.772187 | + | 0.635396i | \(0.780837\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.9743 | − | 11.7258i | 0.460469 | − | 0.386380i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 20.4987 | − | 35.5047i | 0.674722 | − | 1.16865i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.36743 | − | 3.04550i | −0.275119 | − | 0.100135i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.0818757 | − | 0.464340i | −0.00268915 | − | 0.0152509i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 5.81808 | + | 4.88195i | 0.190885 | + | 0.160171i | 0.733222 | − | 0.679990i | \(-0.238016\pi\) |
−0.542337 | + | 0.840161i | \(0.682460\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.26390 | + | 29.4981i | −0.0741962 | + | 0.966761i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −22.1557 | − | 18.5908i | −0.725345 | − | 0.608636i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.24075 | + | 7.03667i | 0.0405770 | + | 0.230124i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.13741 | − | 3.32575i | −0.298506 | − | 0.108647i | 0.188425 | − | 0.982088i | \(-0.439662\pi\) |
−0.486932 | + | 0.873440i | \(0.661884\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −6.57133 | + | 11.3819i | −0.214447 | + | 0.371433i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −12.7510 | + | 10.6994i | −0.415671 | + | 0.348789i | −0.826513 | − | 0.562917i | \(-0.809679\pi\) |
0.410842 | + | 0.911706i | \(0.365235\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.27533 | + | 9.13713i | 0.171788 | + | 0.297546i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.428112 | − | 2.42794i | 0.0139265 | − | 0.0789810i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 49.2017 | − | 17.9080i | 1.59884 | − | 0.581930i | 0.619651 | − | 0.784878i | \(-0.287274\pi\) |
0.979190 | + | 0.202947i | \(0.0650520\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −77.8482 | −2.52706 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 17.2737 | 0.560139 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 40.7403 | − | 14.8283i | 1.31971 | − | 0.480335i | 0.416343 | − | 0.909207i | \(-0.363311\pi\) |
0.903365 | + | 0.428873i | \(0.141089\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.01242 | + | 22.7556i | −0.129839 | + | 0.736353i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 10.2898 | + | 17.8225i | 0.332623 | + | 0.576120i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.76816 | + | 3.16186i | −0.121680 | + | 0.102102i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.1756 | + | 47.0695i | −0.876632 | + | 1.51837i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1.27343 | + | 0.463489i | 0.0410356 | + | 0.0149357i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.31425 | − | 7.45347i | −0.0423071 | − | 0.239936i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 13.4494 | + | 11.2854i | 0.432503 | + | 0.362913i | 0.832895 | − | 0.553431i | \(-0.186682\pi\) |
−0.400392 | + | 0.916344i | \(0.631126\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 40.4812 | − | 3.97729i | 1.30044 | − | 0.127769i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 42.6182 | + | 35.7609i | 1.36768 | + | 1.14762i | 0.973525 | + | 0.228580i | \(0.0734083\pi\) |
0.394158 | + | 0.919043i | \(0.371036\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.105486 | − | 0.598241i | −0.00338173 | − | 0.0191787i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 9.37372 | + | 3.41176i | 0.300199 | + | 0.109264i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.82064 | − | 4.88548i | 0.0902401 | − | 0.156300i | −0.817372 | − | 0.576110i | \(-0.804570\pi\) |
0.907612 | + | 0.419810i | \(0.137903\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.03065 | + | 2.54302i | −0.0968601 | + | 0.0812753i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.642608 | − | 1.11303i | −0.0205169 | − | 0.0355363i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.66371 | − | 15.1066i | 0.0849592 | − | 0.481827i | −0.912406 | − | 0.409286i | \(-0.865778\pi\) |
0.997365 | − | 0.0725415i | \(-0.0231110\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.96173 | − | 0.714011i | 0.0625059 | − | 0.0227503i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 5.30077 | 0.168725 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.26313 | −0.262752 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −40.5654 | + | 14.7646i | −1.28860 | + | 0.469013i | −0.893268 | − | 0.449524i | \(-0.851593\pi\) |
−0.395334 | + | 0.918537i | \(0.629371\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −9.75350 | + | 55.3148i | −0.309518 | + | 1.75536i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.33749 | + | 9.24480i | 0.169210 | + | 0.293080i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.44517 | + | 6.24724i | −0.235791 | + | 0.197852i | −0.753025 | − | 0.657992i | \(-0.771406\pi\) |
0.517234 | + | 0.855844i | \(0.326962\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 23.7961 | − | 41.2161i | 0.752876 | − | 1.30402i |
(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 | 380.2.u.b.301.1 | yes | 18 | |
19.5 | even | 9 | 7220.2.a.w.1.8 | 9 | |||
19.6 | even | 9 | inner | 380.2.u.b.101.1 | ✓ | 18 | |
19.14 | odd | 18 | 7220.2.a.y.1.2 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.u.b.101.1 | ✓ | 18 | 19.6 | even | 9 | inner | |
380.2.u.b.301.1 | yes | 18 | 1.1 | even | 1 | trivial | |
7220.2.a.w.1.8 | 9 | 19.5 | even | 9 | |||
7220.2.a.y.1.2 | 9 | 19.14 | odd | 18 |