Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(244,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.244");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.c (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 487.1 | ||
Root | \(0.984808 - 0.173648i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.487 |
Dual form | 729.2.c.c.244.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 1.70574i | −0.696364 | + | 1.20614i | 0.273354 | + | 0.961913i | \(0.411867\pi\) |
−0.969719 | + | 0.244225i | \(0.921467\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.939693 | − | 1.62760i | −0.469846 | − | 0.813798i | ||||
\(5\) | 1.85083 | + | 3.20574i | 0.827718 | + | 1.43365i | 0.899824 | + | 0.436252i | \(0.143694\pi\) |
−0.0721067 | + | 0.997397i | \(0.522972\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.17365 | − | 2.03282i | 0.443597 | − | 0.768333i | −0.554356 | − | 0.832280i | \(-0.687035\pi\) |
0.997953 | + | 0.0639466i | \(0.0203687\pi\) | |||||||
\(8\) | −0.237565 | −0.0839918 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −7.29086 | −2.30557 | ||||||||
\(11\) | −1.08926 | + | 1.88666i | −0.328425 | + | 0.568849i | −0.982200 | − | 0.187840i | \(-0.939851\pi\) |
0.653774 | + | 0.756690i | \(0.273185\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.35844 | + | 4.08494i | 0.654114 | + | 1.13296i | 0.982115 | + | 0.188281i | \(0.0602916\pi\) |
−0.328001 | + | 0.944677i | \(0.606375\pi\) | |||||||
\(14\) | 2.31164 | + | 4.00387i | 0.617811 | + | 1.07008i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.11334 | − | 3.66041i | 0.528335 | − | 0.915103i | ||||
\(17\) | 2.93512 | 0.711871 | 0.355936 | − | 0.934510i | \(-0.384162\pi\) | ||||
0.355936 | + | 0.934510i | \(0.384162\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.22668 | −1.42850 | −0.714249 | − | 0.699891i | \(-0.753232\pi\) | ||||
−0.714249 | + | 0.699891i | \(0.753232\pi\) | |||||||
\(20\) | 3.47843 | − | 6.02481i | 0.777800 | − | 1.34719i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.14543 | − | 3.71599i | −0.457407 | − | 0.792252i | ||||
\(23\) | 0.259515 | + | 0.449493i | 0.0541126 | + | 0.0937257i | 0.891813 | − | 0.452405i | \(-0.149434\pi\) |
−0.837700 | + | 0.546130i | \(0.816100\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.35117 | + | 7.53644i | −0.870233 | + | 1.50729i | ||||
\(26\) | −9.29044 | −1.82201 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.41147 | −0.833690 | ||||||||
\(29\) | −1.74638 | + | 3.02481i | −0.324294 | + | 0.561694i | −0.981369 | − | 0.192131i | \(-0.938460\pi\) |
0.657075 | + | 0.753825i | \(0.271793\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.15270 | + | 3.72859i | 0.386637 | + | 0.669675i | 0.991995 | − | 0.126279i | \(-0.0403033\pi\) |
−0.605358 | + | 0.795953i | \(0.706970\pi\) | |||||||
\(32\) | 3.92490 | + | 6.79813i | 0.693832 | + | 1.20175i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.89053 | + | 5.00654i | −0.495722 | + | 0.858615i | ||||
\(35\) | 8.68891 | 1.46869 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.41147 | 0.396444 | 0.198222 | − | 0.980157i | \(-0.436483\pi\) | ||||
0.198222 | + | 0.980157i | \(0.436483\pi\) | |||||||
\(38\) | 6.13208 | − | 10.6211i | 0.994755 | − | 1.72297i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.439693 | − | 0.761570i | −0.0695215 | − | 0.120415i | ||||
\(41\) | 1.24930 | + | 2.16385i | 0.195108 | + | 0.337936i | 0.946936 | − | 0.321423i | \(-0.104161\pi\) |
−0.751828 | + | 0.659359i | \(0.770828\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.532089 | + | 0.921605i | −0.0811428 | + | 0.140543i | −0.903741 | − | 0.428080i | \(-0.859190\pi\) |
0.822598 | + | 0.568623i | \(0.192524\pi\) | |||||||
\(44\) | 4.09429 | 0.617237 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.02229 | −0.150728 | ||||||||
\(47\) | −0.118782 | + | 0.205737i | −0.0173262 | + | 0.0300098i | −0.874558 | − | 0.484920i | \(-0.838849\pi\) |
0.857232 | + | 0.514930i | \(0.172182\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.745100 | + | 1.29055i | 0.106443 | + | 0.184364i | ||||
\(50\) | −8.57013 | − | 14.8439i | −1.21200 | − | 2.09924i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.43242 | − | 7.67717i | 0.614666 | − | 1.06463i | ||||
\(53\) | −4.66717 | −0.641085 | −0.320543 | − | 0.947234i | \(-0.603865\pi\) | ||||
−0.320543 | + | 0.947234i | \(0.603865\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.06418 | −1.08737 | ||||||||
\(56\) | −0.278817 | + | 0.482926i | −0.0372585 | + | 0.0645337i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.43969 | − | 5.95772i | −0.451654 | − | 0.782287i | ||||
\(59\) | −6.65609 | − | 11.5287i | −0.866549 | − | 1.50091i | −0.865501 | − | 0.500908i | \(-0.833000\pi\) |
−0.00104825 | − | 0.999999i | \(-0.500334\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.83750 | − | 3.18264i | 0.235267 | − | 0.407495i | −0.724083 | − | 0.689713i | \(-0.757737\pi\) |
0.959350 | + | 0.282218i | \(0.0910701\pi\) | |||||||
\(62\) | −8.48000 | −1.07696 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.00774 | −0.875968 | ||||||||
\(65\) | −8.73016 | + | 15.1211i | −1.08284 | + | 1.87554i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.14930 | − | 12.3830i | −0.873426 | − | 1.51282i | −0.858430 | − | 0.512931i | \(-0.828560\pi\) |
−0.0149960 | − | 0.999888i | \(-0.504774\pi\) | |||||||
\(68\) | −2.75811 | − | 4.77719i | −0.334470 | − | 0.579319i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −8.55690 | + | 14.8210i | −1.02275 | + | 1.77145i | ||||
\(71\) | −1.20307 | −0.142778 | −0.0713891 | − | 0.997449i | \(-0.522743\pi\) | ||||
−0.0713891 | + | 0.997449i | \(0.522743\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.68004 | −0.547758 | −0.273879 | − | 0.961764i | \(-0.588307\pi\) | ||||
−0.273879 | + | 0.961764i | \(0.588307\pi\) | |||||||
\(74\) | −2.37484 | + | 4.11334i | −0.276069 | + | 0.478166i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.85117 | + | 10.1345i | 0.671175 | + | 1.16251i | ||||
\(77\) | 2.55682 | + | 4.42855i | 0.291377 | + | 0.504680i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.40033 | − | 11.0857i | 0.720093 | − | 1.24724i | −0.240869 | − | 0.970558i | \(-0.577432\pi\) |
0.960962 | − | 0.276681i | \(-0.0892344\pi\) | |||||||
\(80\) | 15.6458 | 1.74925 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.92127 | −0.543464 | ||||||||
\(83\) | −5.65198 | + | 9.78952i | −0.620385 | + | 1.07454i | 0.369029 | + | 0.929418i | \(0.379690\pi\) |
−0.989414 | + | 0.145121i | \(0.953643\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.43242 | + | 9.40923i | 0.589229 | + | 1.02057i | ||||
\(86\) | −1.04801 | − | 1.81521i | −0.113010 | − | 0.195739i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.258770 | − | 0.448204i | 0.0275850 | − | 0.0477787i | ||||
\(89\) | −0.699287 | −0.0741242 | −0.0370621 | − | 0.999313i | \(-0.511800\pi\) | ||||
−0.0370621 | + | 0.999313i | \(0.511800\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.0719 | 1.16065 | ||||||||
\(92\) | 0.487728 | − | 0.844770i | 0.0508492 | − | 0.0880734i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.233956 | − | 0.405223i | −0.0241307 | − | 0.0417956i | ||||
\(95\) | −11.5245 | − | 19.9611i | −1.18239 | − | 2.04797i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.54323 | − | 6.13706i | 0.359761 | − | 0.623124i | −0.628160 | − | 0.778084i | \(-0.716192\pi\) |
0.987921 | + | 0.154960i | \(0.0495250\pi\) | |||||||
\(98\) | −2.93512 | −0.296492 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 16.3550 | 1.63550 | ||||||||
\(101\) | 2.33856 | − | 4.05051i | 0.232696 | − | 0.403041i | −0.725905 | − | 0.687795i | \(-0.758579\pi\) |
0.958600 | + | 0.284755i | \(0.0919121\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.81180 | + | 11.7984i | 0.671187 | + | 1.16253i | 0.977568 | + | 0.210621i | \(0.0675486\pi\) |
−0.306381 | + | 0.951909i | \(0.599118\pi\) | |||||||
\(104\) | −0.560282 | − | 0.970437i | −0.0549402 | − | 0.0951592i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.59627 | − | 7.96097i | 0.446429 | − | 0.773238i | ||||
\(107\) | −11.6340 | −1.12470 | −0.562350 | − | 0.826900i | \(-0.690102\pi\) | ||||
−0.562350 | + | 0.826900i | \(0.690102\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.6040 | 1.39881 | 0.699405 | − | 0.714725i | \(-0.253448\pi\) | ||||
0.699405 | + | 0.714725i | \(0.253448\pi\) | |||||||
\(110\) | 7.94166 | − | 13.7554i | 0.757208 | − | 1.31152i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.96064 | − | 8.59208i | −0.468736 | − | 0.811875i | ||||
\(113\) | 2.34791 | + | 4.06670i | 0.220873 | + | 0.382563i | 0.955073 | − | 0.296370i | \(-0.0957760\pi\) |
−0.734200 | + | 0.678933i | \(0.762443\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.960637 | + | 1.66387i | −0.0895799 | + | 0.155157i | ||||
\(116\) | 6.56423 | 0.609474 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 26.2199 | 2.41374 | ||||||||
\(119\) | 3.44480 | − | 5.96657i | 0.315784 | − | 0.546954i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.12701 | + | 5.41614i | 0.284274 | + | 0.492377i | ||||
\(122\) | 3.61916 | + | 6.26857i | 0.327663 | + | 0.567530i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.04576 | − | 7.00746i | 0.363320 | − | 0.629289i | ||||
\(125\) | −13.7048 | −1.22579 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.09152 | 0.540535 | 0.270267 | − | 0.962785i | \(-0.412888\pi\) | ||||
0.270267 | + | 0.962785i | \(0.412888\pi\) | |||||||
\(128\) | −0.948531 | + | 1.64290i | −0.0838391 | + | 0.145214i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −17.1951 | − | 29.7827i | −1.50811 | − | 2.61212i | ||||
\(131\) | 5.17420 | + | 8.96198i | 0.452072 | + | 0.783012i | 0.998515 | − | 0.0544847i | \(-0.0173516\pi\) |
−0.546442 | + | 0.837497i | \(0.684018\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.30793 | + | 12.6577i | −0.633678 | + | 1.09756i | ||||
\(134\) | 28.1627 | 2.43289 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.697281 | −0.0597914 | ||||||||
\(137\) | 9.54233 | − | 16.5278i | 0.815257 | − | 1.41207i | −0.0938868 | − | 0.995583i | \(-0.529929\pi\) |
0.909143 | − | 0.416483i | \(-0.136737\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 11.6518 | + | 20.1816i | 0.988295 | + | 1.71178i | 0.626264 | + | 0.779611i | \(0.284583\pi\) |
0.362031 | + | 0.932166i | \(0.382083\pi\) | |||||||
\(140\) | −8.16490 | − | 14.1420i | −0.690060 | − | 1.19522i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.18479 | − | 2.05212i | 0.0994256 | − | 0.172210i | ||||
\(143\) | −10.2759 | −0.859310 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.9290 | −1.07370 | ||||||||
\(146\) | 4.60894 | − | 7.98293i | 0.381439 | − | 0.660672i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.26604 | − | 3.92490i | −0.186268 | − | 0.322625i | ||||
\(149\) | 7.75298 | + | 13.4285i | 0.635149 | + | 1.10011i | 0.986484 | + | 0.163860i | \(0.0523945\pi\) |
−0.351335 | + | 0.936250i | \(0.614272\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.95084 | − | 5.11100i | 0.240136 | − | 0.415927i | −0.720617 | − | 0.693333i | \(-0.756141\pi\) |
0.960753 | + | 0.277406i | \(0.0894747\pi\) | |||||||
\(152\) | 1.47924 | 0.119982 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −10.0719 | −0.811618 | ||||||||
\(155\) | −7.96859 | + | 13.8020i | −0.640053 | + | 1.10860i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.606067 | + | 1.04974i | 0.0483694 | + | 0.0837783i | 0.889196 | − | 0.457526i | \(-0.151264\pi\) |
−0.840827 | + | 0.541304i | \(0.817931\pi\) | |||||||
\(158\) | 12.6062 | + | 21.8346i | 1.00289 | + | 1.73706i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −14.5287 | + | 25.1644i | −1.14859 | + | 1.98942i | ||||
\(161\) | 1.21832 | 0.0960168 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.77332 | 0.217223 | 0.108612 | − | 0.994084i | \(-0.465360\pi\) | ||||
0.108612 | + | 0.994084i | \(0.465360\pi\) | |||||||
\(164\) | 2.34791 | − | 4.06670i | 0.183341 | − | 0.317556i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.1322 | − | 19.2816i | −0.864028 | − | 1.49654i | ||||
\(167\) | −1.91404 | − | 3.31521i | −0.148113 | − | 0.256538i | 0.782417 | − | 0.622754i | \(-0.213986\pi\) |
−0.930530 | + | 0.366216i | \(0.880653\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.62449 | + | 8.00984i | −0.355730 | + | 0.616142i | ||||
\(170\) | −21.3996 | −1.64127 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.00000 | 0.152499 | ||||||||
\(173\) | −3.51471 | + | 6.08765i | −0.267218 | + | 0.462835i | −0.968142 | − | 0.250400i | \(-0.919438\pi\) |
0.700924 | + | 0.713236i | \(0.252771\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.2135 | + | 17.6903i | 0.772066 | + | 1.33726i | ||||
\(176\) | 4.60397 | + | 7.97431i | 0.347037 | + | 0.601086i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.688663 | − | 1.19280i | 0.0516175 | − | 0.0894041i | ||||
\(179\) | 14.3854 | 1.07521 | 0.537607 | − | 0.843195i | \(-0.319328\pi\) | ||||
0.537607 | + | 0.843195i | \(0.319328\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.2003 | 0.981169 | 0.490584 | − | 0.871394i | \(-0.336783\pi\) | ||||
0.490584 | + | 0.871394i | \(0.336783\pi\) | |||||||
\(182\) | −10.9037 | + | 18.8858i | −0.808237 | + | 1.39991i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.0616516 | − | 0.106784i | −0.00454501 | − | 0.00787219i | ||||
\(185\) | 4.46324 | + | 7.73055i | 0.328144 | + | 0.568361i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.19712 | + | 5.53757i | −0.233796 | + | 0.404947i | ||||
\(188\) | 0.446476 | 0.0325626 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 45.3979 | 3.29351 | ||||||||
\(191\) | 6.71167 | − | 11.6250i | 0.485639 | − | 0.841152i | −0.514224 | − | 0.857656i | \(-0.671920\pi\) |
0.999864 | + | 0.0165036i | \(0.00525351\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.50253 | − | 12.9948i | −0.540044 | − | 0.935383i | −0.998901 | − | 0.0468730i | \(-0.985074\pi\) |
0.458857 | − | 0.888510i | \(-0.348259\pi\) | |||||||
\(194\) | 6.97881 | + | 12.0876i | 0.501049 | + | 0.867843i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.40033 | − | 2.42544i | 0.100024 | − | 0.173246i | ||||
\(197\) | 22.3212 | 1.59032 | 0.795158 | − | 0.606402i | \(-0.207388\pi\) | ||||
0.795158 | + | 0.606402i | \(0.207388\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.10101 | −0.645154 | −0.322577 | − | 0.946543i | \(-0.604549\pi\) | ||||
−0.322577 | + | 0.946543i | \(0.604549\pi\) | |||||||
\(200\) | 1.03368 | − | 1.79039i | 0.0730925 | − | 0.126600i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.60607 | + | 7.97794i | 0.324082 | + | 0.561326i | ||||
\(203\) | 4.09927 | + | 7.10014i | 0.287712 | + | 0.498332i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.62449 | + | 8.00984i | −0.322988 | + | 0.559432i | ||||
\(206\) | −26.8333 | −1.86956 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 19.9368 | 1.38237 | ||||||||
\(209\) | 6.78250 | − | 11.7476i | 0.469155 | − | 0.812600i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.98886 | + | 5.17685i | 0.205761 | + | 0.356389i | 0.950375 | − | 0.311107i | \(-0.100700\pi\) |
−0.744614 | + | 0.667496i | \(0.767366\pi\) | |||||||
\(212\) | 4.38571 | + | 7.59627i | 0.301212 | + | 0.521714i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 11.4572 | − | 19.8445i | 0.783200 | − | 1.35654i | ||||
\(215\) | −3.93923 | −0.268653 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.1061 | 0.686045 | ||||||||
\(218\) | −14.3821 | + | 24.9106i | −0.974081 | + | 1.68716i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 7.57785 | + | 13.1252i | 0.510898 | + | 0.884902i | ||||
\(221\) | 6.92231 | + | 11.9898i | 0.465645 | + | 0.806521i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.45084 | − | 7.70908i | 0.298050 | − | 0.516238i | −0.677640 | − | 0.735394i | \(-0.736997\pi\) |
0.975690 | + | 0.219156i | \(0.0703304\pi\) | |||||||
\(224\) | 18.4258 | 1.23113 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −9.24897 | −0.615232 | ||||||||
\(227\) | −5.33424 | + | 9.23917i | −0.354046 | + | 0.613225i | −0.986954 | − | 0.161001i | \(-0.948528\pi\) |
0.632908 | + | 0.774227i | \(0.281861\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.13563 | + | 7.16312i | 0.273290 | + | 0.473352i | 0.969702 | − | 0.244290i | \(-0.0785548\pi\) |
−0.696412 | + | 0.717642i | \(0.745221\pi\) | |||||||
\(230\) | −1.89209 | − | 3.27719i | −0.124760 | − | 0.216091i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.414878 | − | 0.718589i | 0.0272381 | − | 0.0471777i | ||||
\(233\) | −12.7393 | −0.834579 | −0.417290 | − | 0.908774i | \(-0.637020\pi\) | ||||
−0.417290 | + | 0.908774i | \(0.637020\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.879385 | −0.0573648 | ||||||||
\(236\) | −12.5094 | + | 21.6668i | −0.814290 | + | 1.41039i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.78493 | + | 11.7518i | 0.439802 | + | 0.761759i | ||||
\(239\) | 7.50779 | + | 13.0039i | 0.485638 | + | 0.841150i | 0.999864 | − | 0.0165047i | \(-0.00525384\pi\) |
−0.514225 | + | 0.857655i | \(0.671921\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.397804 | + | 0.689016i | −0.0256248 | + | 0.0443834i | −0.878553 | − | 0.477644i | \(-0.841491\pi\) |
0.852929 | + | 0.522028i | \(0.174824\pi\) | |||||||
\(242\) | −12.3180 | −0.791832 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.90673 | −0.442158 | ||||||||
\(245\) | −2.75811 | + | 4.77719i | −0.176209 | + | 0.305203i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −14.6853 | − | 25.4356i | −0.934401 | − | 1.61843i | ||||
\(248\) | −0.511406 | − | 0.885782i | −0.0324743 | − | 0.0562472i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.4966 | − | 23.3768i | 0.853600 | − | 1.47848i | ||||
\(251\) | −8.31499 | −0.524837 | −0.262419 | − | 0.964954i | \(-0.584520\pi\) | ||||
−0.262419 | + | 0.964954i | \(0.584520\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.13072 | −0.0710877 | ||||||||
\(254\) | −5.99898 | + | 10.3905i | −0.376409 | + | 0.651960i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.87598 | − | 15.3737i | −0.554749 | − | 0.960853i | ||||
\(257\) | −12.8101 | − | 22.1878i | −0.799074 | − | 1.38404i | −0.920220 | − | 0.391401i | \(-0.871990\pi\) |
0.121146 | − | 0.992635i | \(-0.461343\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.83022 | − | 4.90209i | 0.175861 | − | 0.304601i | ||||
\(260\) | 32.8147 | 2.03508 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −20.3824 | −1.25923 | ||||||||
\(263\) | 14.0325 | − | 24.3050i | 0.865281 | − | 1.49871i | −0.00148730 | − | 0.999999i | \(-0.500473\pi\) |
0.866768 | − | 0.498711i | \(-0.166193\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.63816 | − | 14.9617i | −0.530638 | − | 0.919091i | ||||
\(266\) | −14.3938 | − | 24.9308i | −0.882542 | − | 1.52861i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −13.4363 | + | 23.2723i | −0.820752 | + | 1.42158i | ||||
\(269\) | 30.1710 | 1.83956 | 0.919778 | − | 0.392439i | \(-0.128369\pi\) | ||||
0.919778 | + | 0.392439i | \(0.128369\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.0000 | −1.15417 | −0.577084 | − | 0.816685i | \(-0.695809\pi\) | ||||
−0.577084 | + | 0.816685i | \(0.695809\pi\) | |||||||
\(272\) | 6.20291 | − | 10.7438i | 0.376107 | − | 0.651436i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 18.7947 | + | 32.5534i | 1.13543 | + | 1.96662i | ||||
\(275\) | −9.47913 | − | 16.4183i | −0.571613 | − | 0.990063i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.5608 | + | 18.2918i | −0.634535 | + | 1.09905i | 0.352078 | + | 0.935971i | \(0.385475\pi\) |
−0.986613 | + | 0.163077i | \(0.947858\pi\) | |||||||
\(278\) | −45.8992 | −2.75285 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.06418 | −0.123358 | ||||||||
\(281\) | −0.873649 | + | 1.51320i | −0.0521175 | + | 0.0902702i | −0.890907 | − | 0.454185i | \(-0.849930\pi\) |
0.838790 | + | 0.544456i | \(0.183264\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.64409 | + | 6.31174i | 0.216618 | + | 0.375194i | 0.953772 | − | 0.300531i | \(-0.0971639\pi\) |
−0.737154 | + | 0.675725i | \(0.763831\pi\) | |||||||
\(284\) | 1.13052 | + | 1.95811i | 0.0670838 | + | 0.116193i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 10.1197 | − | 17.5279i | 0.598393 | − | 1.03645i | ||||
\(287\) | 5.86495 | 0.346197 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.38507 | −0.493239 | ||||||||
\(290\) | 12.7326 | − | 22.0535i | 0.747684 | − | 1.29503i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.39780 | + | 7.61722i | 0.257362 | + | 0.445764i | ||||
\(293\) | −7.67545 | − | 13.2943i | −0.448404 | − | 0.776659i | 0.549878 | − | 0.835245i | \(-0.314674\pi\) |
−0.998282 | + | 0.0585858i | \(0.981341\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 24.6386 | − | 42.6753i | 1.43452 | − | 2.48465i | ||||
\(296\) | −0.572881 | −0.0332980 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.5408 | −1.76918 | ||||||||
\(299\) | −1.22410 | + | 2.12020i | −0.0707916 | + | 0.122615i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.24897 | + | 2.16328i | 0.0719895 | + | 0.124689i | ||||
\(302\) | 5.81201 | + | 10.0667i | 0.334444 | + | 0.579274i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −13.1591 | + | 22.7922i | −0.754726 | + | 1.30722i | ||||
\(305\) | 13.6036 | 0.778940 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.7638 | 0.956762 | 0.478381 | − | 0.878152i | \(-0.341224\pi\) | ||||
0.478381 | + | 0.878152i | \(0.341224\pi\) | |||||||
\(308\) | 4.80526 | − | 8.32295i | 0.273805 | − | 0.474244i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −15.6951 | − | 27.1846i | −0.891419 | − | 1.54398i | ||||
\(311\) | 8.01157 | + | 13.8764i | 0.454295 | + | 0.786861i | 0.998647 | − | 0.0519952i | \(-0.0165580\pi\) |
−0.544353 | + | 0.838856i | \(0.683225\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −17.2028 | + | 29.7961i | −0.972360 | + | 1.68418i | −0.283974 | + | 0.958832i | \(0.591653\pi\) |
−0.688386 | + | 0.725344i | \(0.741681\pi\) | |||||||
\(314\) | −2.38744 | −0.134731 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −24.0574 | −1.35333 | ||||||||
\(317\) | 8.15555 | − | 14.1258i | 0.458061 | − | 0.793386i | −0.540797 | − | 0.841153i | \(-0.681877\pi\) |
0.998858 | + | 0.0477675i | \(0.0152106\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.80453 | − | 6.58964i | −0.213013 | − | 0.368949i | ||||
\(320\) | −12.9702 | − | 22.4650i | −0.725054 | − | 1.25583i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.19981 | + | 2.07813i | −0.0668626 | + | 0.115809i | ||||
\(323\) | −18.2761 | −1.01691 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −41.0479 | −2.27693 | ||||||||
\(326\) | −2.73119 | + | 4.73055i | −0.151266 | + | 0.262001i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.296789 | − | 0.514054i | −0.0163874 | − | 0.0283839i | ||||
\(329\) | 0.278817 | + | 0.482926i | 0.0153717 | + | 0.0266246i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.7900 | − | 27.3491i | 0.867896 | − | 1.50324i | 0.00375320 | − | 0.999993i | \(-0.498805\pi\) |
0.864143 | − | 0.503247i | \(-0.167861\pi\) | |||||||
\(332\) | 21.2445 | 1.16594 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.53983 | 0.412561 | ||||||||
\(335\) | 26.4643 | − | 45.8376i | 1.44590 | − | 2.50437i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.00253 | − | 5.20053i | −0.163558 | − | 0.283291i | 0.772584 | − | 0.634912i | \(-0.218964\pi\) |
−0.936142 | + | 0.351621i | \(0.885630\pi\) | |||||||
\(338\) | −9.10846 | − | 15.7763i | −0.495435 | − | 0.858118i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.2096 | − | 17.6836i | 0.553694 | − | 0.959026i | ||||
\(341\) | −9.37944 | −0.507925 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.9290 | 1.07607 | ||||||||
\(344\) | 0.126406 | − | 0.218941i | 0.00681533 | − | 0.0118045i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.92262 | − | 11.9903i | −0.372162 | − | 0.644604i | ||||
\(347\) | −11.5152 | − | 19.9449i | −0.618168 | − | 1.07070i | −0.989820 | − | 0.142326i | \(-0.954542\pi\) |
0.371652 | − | 0.928372i | \(-0.378792\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.78312 | − | 10.0167i | 0.309563 | − | 0.536179i | −0.668704 | − | 0.743529i | \(-0.733150\pi\) |
0.978267 | + | 0.207350i | \(0.0664838\pi\) | |||||||
\(350\) | −40.2332 | −2.15056 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −17.1010 | −0.911487 | ||||||||
\(353\) | 1.06731 | − | 1.84864i | 0.0568073 | − | 0.0983932i | −0.836223 | − | 0.548389i | \(-0.815241\pi\) |
0.893031 | + | 0.449996i | \(0.148575\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.22668 | − | 3.85673i | −0.118180 | − | 0.204694i | ||||
\(356\) | 0.657115 | + | 1.13816i | 0.0348270 | + | 0.0603221i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −14.1668 | + | 24.5377i | −0.748741 | + | 1.29686i | ||||
\(359\) | 24.2235 | 1.27847 | 0.639234 | − | 0.769012i | \(-0.279251\pi\) | ||||
0.639234 | + | 0.769012i | \(0.279251\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 19.7716 | 1.04061 | ||||||||
\(362\) | −12.9997 | + | 22.5162i | −0.683251 | + | 1.18343i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −10.4042 | − | 18.0206i | −0.545328 | − | 0.944536i | ||||
\(365\) | −8.66198 | − | 15.0030i | −0.453389 | − | 0.785293i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.41740 | − | 2.45502i | 0.0739879 | − | 0.128151i | −0.826658 | − | 0.562705i | \(-0.809761\pi\) |
0.900646 | + | 0.434554i | \(0.143094\pi\) | |||||||
\(368\) | 2.19377 | 0.114358 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −17.5817 | −0.914030 | ||||||||
\(371\) | −5.47762 | + | 9.48751i | −0.284384 | + | 0.492567i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.4167 | + | 24.9704i | 0.746468 | + | 1.29292i | 0.949506 | + | 0.313749i | \(0.101585\pi\) |
−0.203038 | + | 0.979171i | \(0.565081\pi\) | |||||||
\(374\) | −6.29710 | − | 10.9069i | −0.325615 | − | 0.563982i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.0282185 | − | 0.0488759i | 0.00145526 | − | 0.00252058i | ||||
\(377\) | −16.4749 | −0.848501 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 32.1985 | 1.65393 | 0.826963 | − | 0.562256i | \(-0.190066\pi\) | ||||
0.826963 | + | 0.562256i | \(0.190066\pi\) | |||||||
\(380\) | −21.6591 | + | 37.5146i | −1.11109 | + | 1.92446i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 13.2194 | + | 22.8967i | 0.676364 | + | 1.17150i | ||||
\(383\) | −0.336125 | − | 0.582186i | −0.0171752 | − | 0.0297483i | 0.857310 | − | 0.514800i | \(-0.172134\pi\) |
−0.874485 | + | 0.485052i | \(0.838801\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.46451 | + | 16.3930i | −0.482356 | + | 0.835465i | ||||
\(386\) | 29.5542 | 1.50427 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.3182 | −0.676129 | ||||||||
\(389\) | 2.12965 | − | 3.68866i | 0.107978 | − | 0.187023i | −0.806973 | − | 0.590588i | \(-0.798896\pi\) |
0.914951 | + | 0.403565i | \(0.132229\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.761707 | + | 1.31932i | 0.0385212 | + | 0.0667207i | ||||
\(392\) | −0.177009 | − | 0.306589i | −0.00894033 | − | 0.0154851i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −21.9820 | + | 38.0740i | −1.10744 | + | 1.91814i | ||||
\(395\) | 47.3838 | 2.38414 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.86484 | −0.444913 | −0.222457 | − | 0.974943i | \(-0.571408\pi\) | ||||
−0.222457 | + | 0.974943i | \(0.571408\pi\) | |||||||
\(398\) | 8.96275 | − | 15.5239i | 0.449262 | − | 0.778145i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 18.3910 | + | 31.8541i | 0.919550 | + | 1.59271i | ||||
\(401\) | −18.5420 | − | 32.1156i | −0.925941 | − | 1.60378i | −0.790040 | − | 0.613055i | \(-0.789940\pi\) |
−0.135901 | − | 0.990722i | \(-0.543393\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −10.1540 | + | 17.5873i | −0.505809 | + | 0.876087i | ||||
\(404\) | −8.79012 | −0.437325 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −16.1480 | −0.801410 | ||||||||
\(407\) | −2.62673 | + | 4.54963i | −0.130202 | + | 0.225517i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.69459 | + | 2.93512i | 0.0837922 | + | 0.145132i | 0.904876 | − | 0.425675i | \(-0.139963\pi\) |
−0.821084 | + | 0.570808i | \(0.806630\pi\) | |||||||
\(410\) | −9.10846 | − | 15.7763i | −0.449835 | − | 0.779136i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.8020 | − | 22.1737i | 0.630709 | − | 1.09242i | ||||
\(413\) | −31.2476 | −1.53760 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −41.8435 | −2.05402 | ||||||||
\(416\) | −18.5133 | + | 32.0660i | −0.907690 | + | 1.57216i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.3589 | + | 23.1383i | 0.653406 | + | 1.13173i | ||||
\(419\) | 10.3282 | + | 17.8889i | 0.504565 | + | 0.873932i | 0.999986 | + | 0.00527895i | \(0.00168035\pi\) |
−0.495421 | + | 0.868653i | \(0.664986\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.7665 | + | 23.8443i | −0.670939 | + | 1.16210i | 0.306700 | + | 0.951806i | \(0.400775\pi\) |
−0.977638 | + | 0.210294i | \(0.932558\pi\) | |||||||
\(422\) | −11.7738 | −0.573139 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.10876 | 0.0538459 | ||||||||
\(425\) | −12.7712 | + | 22.1204i | −0.619494 | + | 1.07300i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.31315 | − | 7.47059i | −0.208728 | − | 0.361527i | ||||
\(428\) | 10.9324 | + | 18.9354i | 0.528436 | + | 0.915278i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.87939 | − | 6.71929i | 0.187081 | − | 0.324033i | ||||
\(431\) | −2.58110 | −0.124327 | −0.0621636 | − | 0.998066i | \(-0.519800\pi\) | ||||
−0.0621636 | + | 0.998066i | \(0.519800\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −27.0137 | −1.29820 | −0.649098 | − | 0.760704i | \(-0.724854\pi\) | ||||
−0.649098 | + | 0.760704i | \(0.724854\pi\) | |||||||
\(434\) | −9.95253 | + | 17.2383i | −0.477737 | + | 0.827465i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.7233 | − | 23.7694i | −0.657226 | − | 1.13835i | ||||
\(437\) | −1.61592 | − | 2.79885i | −0.0772997 | − | 0.133887i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.85504 | + | 10.1412i | −0.279446 | + | 0.484014i | −0.971247 | − | 0.238074i | \(-0.923484\pi\) |
0.691801 | + | 0.722088i | \(0.256817\pi\) | |||||||
\(440\) | 1.91576 | 0.0913305 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −27.2686 | −1.29703 | ||||||||
\(443\) | −1.04039 | + | 1.80200i | −0.0494303 | + | 0.0856158i | −0.889682 | − | 0.456581i | \(-0.849074\pi\) |
0.840252 | + | 0.542197i | \(0.182407\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.29426 | − | 2.24173i | −0.0613539 | − | 0.106268i | ||||
\(446\) | 8.76644 | + | 15.1839i | 0.415103 | + | 0.718979i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.22462 | + | 14.2455i | −0.388577 | + | 0.673035i | ||||
\(449\) | 10.5508 | 0.497924 | 0.248962 | − | 0.968513i | \(-0.419911\pi\) | ||||
0.248962 | + | 0.968513i | \(0.419911\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.44326 | −0.256313 | ||||||||
\(452\) | 4.41263 | − | 7.64290i | 0.207553 | − | 0.359492i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.5064 | − | 18.1976i | −0.493090 | − | 0.854056i | ||||
\(455\) | 20.4923 | + | 35.4937i | 0.960693 | + | 1.66397i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.95471 | − | 6.84975i | 0.184993 | − | 0.320418i | −0.758581 | − | 0.651579i | \(-0.774107\pi\) |
0.943574 | + | 0.331161i | \(0.107440\pi\) | |||||||
\(458\) | −16.2912 | −0.761238 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.61081 | 0.168355 | ||||||||
\(461\) | 19.5464 | − | 33.8553i | 0.910366 | − | 1.57680i | 0.0968187 | − | 0.995302i | \(-0.469133\pi\) |
0.813548 | − | 0.581498i | \(-0.197533\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.8464 | − | 20.5186i | −0.550550 | − | 0.953580i | −0.998235 | − | 0.0593889i | \(-0.981085\pi\) |
0.447685 | − | 0.894191i | \(-0.352249\pi\) | |||||||
\(464\) | 7.38138 | + | 12.7849i | 0.342672 | + | 0.593525i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.5458 | − | 21.7299i | 0.581171 | − | 1.00662i | ||||
\(467\) | −34.7152 | −1.60643 | −0.803214 | − | 0.595691i | \(-0.796878\pi\) | ||||
−0.803214 | + | 0.595691i | \(0.796878\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −33.5631 | −1.54980 | ||||||||
\(470\) | 0.866025 | − | 1.50000i | 0.0399468 | − | 0.0691898i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.58125 | + | 2.73881i | 0.0727830 | + | 0.126064i | ||||
\(473\) | −1.15917 | − | 2.00774i | −0.0532987 | − | 0.0923160i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 27.0933 | − | 46.9270i | 1.24313 | − | 2.15316i | ||||
\(476\) | −12.9482 | −0.593480 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −29.5749 | −1.35272 | ||||||||
\(479\) | 3.24086 | − | 5.61334i | 0.148079 | − | 0.256480i | −0.782439 | − | 0.622728i | \(-0.786024\pi\) |
0.930517 | + | 0.366248i | \(0.119358\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.68732 | + | 9.85073i | 0.259319 | + | 0.449154i | ||||
\(482\) | −0.783520 | − | 1.35710i | −0.0356884 | − | 0.0618141i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.87686 | − | 10.1790i | 0.267130 | − | 0.462683i | ||||
\(485\) | 26.2317 | 1.19112 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.9828 | 0.905505 | 0.452753 | − | 0.891636i | \(-0.350442\pi\) | ||||
0.452753 | + | 0.891636i | \(0.350442\pi\) | |||||||
\(488\) | −0.436524 | + | 0.756082i | −0.0197605 | + | 0.0342262i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.43242 | − | 9.40923i | −0.245412 | − | 0.425065i | ||||
\(491\) | 13.1135 | + | 22.7133i | 0.591806 | + | 1.02504i | 0.993989 | + | 0.109478i | \(0.0349181\pi\) |
−0.402183 | + | 0.915559i | \(0.631749\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.12583 | + | 8.87820i | −0.230856 | + | 0.399854i | ||||
\(494\) | 57.8486 | 2.60273 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 18.1976 | 0.817096 | ||||||||
\(497\) | −1.41198 | + | 2.44562i | −0.0633360 | + | 0.109701i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.15863 | − | 5.47091i | −0.141400 | − | 0.244912i | 0.786624 | − | 0.617432i | \(-0.211827\pi\) |
−0.928024 | + | 0.372520i | \(0.878494\pi\) | |||||||
\(500\) | 12.8783 | + | 22.3059i | 0.575935 | + | 0.997549i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.18866 | − | 14.1832i | 0.365478 | − | 0.633026i | ||||
\(503\) | −21.8261 | −0.973179 | −0.486589 | − | 0.873631i | \(-0.661759\pi\) | ||||
−0.486589 | + | 0.873631i | \(0.661759\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.3131 | 0.770425 | ||||||||
\(506\) | 1.11354 | − | 1.92871i | 0.0495030 | − | 0.0857416i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.72416 | − | 9.91453i | −0.253968 | − | 0.439886i | ||||
\(509\) | −14.5466 | − | 25.1954i | −0.644765 | − | 1.11676i | −0.984356 | − | 0.176192i | \(-0.943622\pi\) |
0.339591 | − | 0.940573i | \(-0.389711\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.49273 | + | 9.51368i | −0.242984 | + | 0.420860i | ||||
\(512\) | 31.1704 | 1.37755 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 50.4620 | 2.22579 | ||||||||
\(515\) | −25.2150 | + | 43.6737i | −1.11111 | + | 1.92449i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.258770 | − | 0.448204i | −0.0113807 | − | 0.0197120i | ||||
\(518\) | 5.57445 | + | 9.65523i | 0.244927 | + | 0.424226i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.07398 | − | 3.59224i | 0.0909499 | − | 0.157530i | ||||
\(521\) | −13.6949 | −0.599982 | −0.299991 | − | 0.953942i | \(-0.596984\pi\) | ||||
−0.299991 | + | 0.953942i | \(0.596984\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 13.1506 | 0.575038 | 0.287519 | − | 0.957775i | \(-0.407170\pi\) | ||||
0.287519 | + | 0.957775i | \(0.407170\pi\) | |||||||
\(524\) | 9.72432 | − | 16.8430i | 0.424809 | − | 0.735791i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 27.6386 | + | 47.8715i | 1.20510 | + | 2.08730i | ||||
\(527\) | 6.31844 | + | 10.9439i | 0.275236 | + | 0.476722i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.3653 | − | 19.6853i | 0.494144 | − | 0.855882i | ||||
\(530\) | 34.0277 | 1.47807 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 27.4688 | 1.19093 | ||||||||
\(533\) | −5.89279 | + | 10.2066i | −0.255245 | + | 0.442098i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −21.5326 | − | 37.2955i | −0.930934 | − | 1.61242i | ||||
\(536\) | 1.69842 | + | 2.94175i | 0.0733606 | + | 0.127064i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −29.7126 | + | 51.4637i | −1.28100 | + | 2.21876i | ||||
\(539\) | −3.24644 | −0.139834 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.26083 | 0.269174 | 0.134587 | − | 0.990902i | \(-0.457029\pi\) | ||||
0.134587 | + | 0.990902i | \(0.457029\pi\) | |||||||
\(542\) | 18.7113 | − | 32.4090i | 0.803721 | − | 1.39209i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 11.5201 | + | 19.9533i | 0.493919 | + | 0.855492i | ||||
\(545\) | 27.0296 | + | 46.8166i | 1.15782 | + | 2.00540i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.6891 | − | 27.1744i | 0.670819 | − | 1.16189i | −0.306854 | − | 0.951757i | \(-0.599276\pi\) |
0.977672 | − | 0.210135i | \(-0.0673905\pi\) | |||||||
\(548\) | −35.8674 | −1.53218 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 37.3405 | 1.59220 | ||||||||
\(551\) | 10.8741 | − | 18.8346i | 0.463254 | − | 0.802379i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.0235 | − | 26.0214i | −0.638863 | − | 1.10654i | ||||
\(554\) | −20.8007 | − | 36.0278i | −0.883736 | − | 1.53067i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 21.8983 | − | 37.9289i | 0.928694 | − | 1.60854i | ||||
\(557\) | −43.4392 | −1.84058 | −0.920290 | − | 0.391237i | \(-0.872047\pi\) | ||||
−0.920290 | + | 0.391237i | \(0.872047\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.01960 | −0.212306 | ||||||||
\(560\) | 18.3626 | − | 31.8050i | 0.775962 | − | 1.34401i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.72075 | − | 2.98043i | −0.0725855 | − | 0.125722i | ||||
\(563\) | 16.0088 | + | 27.7281i | 0.674691 | + | 1.16860i | 0.976559 | + | 0.215250i | \(0.0690565\pi\) |
−0.301868 | + | 0.953350i | \(0.597610\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8.69119 | + | 15.0536i | −0.365641 | + | 0.633309i | ||||
\(566\) | −14.3549 | −0.603381 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.285807 | 0.0119922 | ||||||||
\(569\) | 3.38597 | − | 5.86468i | 0.141947 | − | 0.245860i | −0.786283 | − | 0.617867i | \(-0.787997\pi\) |
0.928230 | + | 0.372007i | \(0.121330\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.5765 | + | 18.3190i | 0.442613 | + | 0.766628i | 0.997883 | − | 0.0650424i | \(-0.0207182\pi\) |
−0.555270 | + | 0.831670i | \(0.687385\pi\) | |||||||
\(572\) | 9.65614 | + | 16.7249i | 0.403744 | + | 0.699304i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.77584 | + | 10.0041i | −0.241079 | + | 0.417561i | ||||
\(575\) | −4.51677 | −0.188362 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.9162 | 0.496079 | 0.248039 | − | 0.968750i | \(-0.420214\pi\) | ||||
0.248039 | + | 0.968750i | \(0.420214\pi\) | |||||||
\(578\) | 8.25768 | − | 14.3027i | 0.343474 | − | 0.594915i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 12.1493 | + | 21.0432i | 0.504472 | + | 0.873772i | ||||
\(581\) | 13.2669 | + | 22.9789i | 0.550403 | + | 0.953325i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.08378 | − | 8.80536i | 0.210549 | − | 0.364681i | ||||
\(584\) | 1.11181 | 0.0460072 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 30.2354 | 1.24901 | ||||||||
\(587\) | 0.0649308 | − | 0.112463i | 0.00267998 | − | 0.00464186i | −0.864682 | − | 0.502319i | \(-0.832480\pi\) |
0.867362 | + | 0.497677i | \(0.165814\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.4042 | − | 23.2168i | −0.552310 | − | 0.956630i | ||||
\(590\) | 48.5286 | + | 84.0540i | 1.99789 | + | 3.46045i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.09627 | − | 8.82699i | 0.209455 | − | 0.362787i | ||||
\(593\) | 26.2622 | 1.07846 | 0.539230 | − | 0.842158i | \(-0.318715\pi\) | ||||
0.539230 | + | 0.842158i | \(0.318715\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 25.5030 | 1.04552 | ||||||||
\(596\) | 14.5708 | − | 25.2374i | 0.596844 | − | 1.03376i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.41101 | − | 4.17599i | −0.0985934 | − | 0.170769i | ||||
\(599\) | −13.7976 | − | 23.8981i | −0.563754 | − | 0.976450i | −0.997164 | − | 0.0752537i | \(-0.976023\pi\) |
0.433411 | − | 0.901197i | \(-0.357310\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.666374 | + | 1.15419i | −0.0271820 | + | 0.0470806i | −0.879296 | − | 0.476275i | \(-0.841987\pi\) |
0.852114 | + | 0.523356i | \(0.175320\pi\) | |||||||
\(602\) | −4.91998 | −0.200524 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −11.0915 | −0.451308 | ||||||||
\(605\) | −11.5752 | + | 20.0488i | −0.470597 | + | 0.815098i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.28224 | + | 10.8812i | 0.254988 | + | 0.441653i | 0.964892 | − | 0.262646i | \(-0.0845950\pi\) |
−0.709904 | + | 0.704298i | \(0.751262\pi\) | |||||||
\(608\) | −24.4391 | − | 42.3298i | −0.991138 | − | 1.71670i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −13.3969 | + | 23.2042i | −0.542426 | + | 0.939509i | ||||
\(611\) | −1.12056 | −0.0453332 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.9982 | −0.565384 | −0.282692 | − | 0.959211i | \(-0.591227\pi\) | ||||
−0.282692 | + | 0.959211i | \(0.591227\pi\) | |||||||
\(614\) | −16.5091 | + | 28.5947i | −0.666255 | + | 1.15399i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.607411 | − | 1.05207i | −0.0244733 | − | 0.0423890i | ||||
\(617\) | −12.0234 | − | 20.8251i | −0.484042 | − | 0.838386i | 0.515790 | − | 0.856715i | \(-0.327499\pi\) |
−0.999832 | + | 0.0183296i | \(0.994165\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.43582 | + | 5.95102i | −0.138097 | + | 0.239192i | −0.926776 | − | 0.375614i | \(-0.877432\pi\) |
0.788679 | + | 0.614805i | \(0.210765\pi\) | |||||||
\(620\) | 29.9521 | 1.20291 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −31.5594 | −1.26542 | ||||||||
\(623\) | −0.820717 | + | 1.42152i | −0.0328813 | + | 0.0569521i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.60947 | − | 6.25179i | −0.144379 | − | 0.250071i | ||||
\(626\) | −33.8829 | − | 58.6869i | −1.35423 | − | 2.34560i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.13903 | − | 1.97286i | 0.0454524 | − | 0.0787258i | ||||
\(629\) | 7.07797 | 0.282217 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.3773 | −1.40835 | −0.704175 | − | 0.710027i | \(-0.748683\pi\) | ||||
−0.704175 | + | 0.710027i | \(0.748683\pi\) | |||||||
\(632\) | −1.52049 | + | 2.63357i | −0.0604819 | + | 0.104758i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 16.0633 | + | 27.8225i | 0.637955 | + | 1.10497i | ||||
\(635\) | 11.2744 | + | 19.5278i | 0.447410 | + | 0.774937i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.51455 | + | 6.08738i | −0.139251 | + | 0.241191i | ||||
\(638\) | 14.9869 | 0.593338 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −7.02229 | −0.277580 | ||||||||
\(641\) | 9.58683 | − | 16.6049i | 0.378657 | − | 0.655854i | −0.612210 | − | 0.790695i | \(-0.709719\pi\) |
0.990867 | + | 0.134842i | \(0.0430526\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.68820 | − | 16.7804i | −0.382065 | − | 0.661756i | 0.609292 | − | 0.792946i | \(-0.291454\pi\) |
−0.991357 | + | 0.131190i | \(0.958120\pi\) | |||||||
\(644\) | −1.14484 | − | 1.98293i | −0.0451131 | − | 0.0781382i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 17.9984 | − | 31.1742i | 0.708138 | − | 1.22653i | ||||
\(647\) | 8.77141 | 0.344840 | 0.172420 | − | 0.985024i | \(-0.444841\pi\) | ||||
0.172420 | + | 0.985024i | \(0.444841\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.0009 | 1.13839 | ||||||||
\(650\) | 40.4243 | − | 70.0169i | 1.58557 | − | 2.74629i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.60607 | − | 4.51384i | −0.102061 | − | 0.176776i | ||||
\(653\) | −16.4047 | − | 28.4138i | −0.641965 | − | 1.11192i | −0.984994 | − | 0.172591i | \(-0.944786\pi\) |
0.343029 | − | 0.939325i | \(-0.388547\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −19.1532 | + | 33.1743i | −0.748376 | + | 1.29623i | ||||
\(656\) | 10.5608 | 0.412329 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.09833 | −0.0428172 | ||||||||
\(659\) | −9.32580 | + | 16.1528i | −0.363282 | + | 0.629222i | −0.988499 | − | 0.151229i | \(-0.951677\pi\) |
0.625217 | + | 0.780451i | \(0.285010\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.2037 | − | 31.5297i | −0.708041 | − | 1.22636i | −0.965583 | − | 0.260096i | \(-0.916246\pi\) |
0.257542 | − | 0.966267i | \(-0.417087\pi\) | |||||||
\(662\) | 31.1002 | + | 53.8671i | 1.20874 | + | 2.09360i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.34271 | − | 2.32564i | 0.0521073 | − | 0.0902525i | ||||
\(665\) | −54.1031 | −2.09803 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.81284 | −0.0701936 | ||||||||
\(668\) | −3.59721 | + | 6.23055i | −0.139180 | + | 0.241067i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 52.1245 | + | 90.2824i | 2.01375 | + | 3.48791i | ||||
\(671\) | 4.00303 | + | 6.93346i | 0.154535 | + | 0.267663i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.6951 | + | 34.1128i | −0.759189 | + | 1.31495i | 0.184076 | + | 0.982912i | \(0.441071\pi\) |
−0.943265 | + | 0.332041i | \(0.892263\pi\) | |||||||
\(674\) | 11.8276 | 0.455584 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 17.3824 | 0.668553 | ||||||||
\(677\) | −15.8377 | + | 27.4317i | −0.608692 | + | 1.05429i | 0.382764 | + | 0.923846i | \(0.374972\pi\) |
−0.991456 | + | 0.130440i | \(0.958361\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.31702 | − | 14.4055i | −0.319178 | − | 0.552832i | ||||
\(680\) | −1.29055 | − | 2.23530i | −0.0494904 | − | 0.0857198i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 9.23695 | − | 15.9989i | 0.353701 | − | 0.612628i | ||||
\(683\) | −29.0656 | −1.11217 | −0.556083 | − | 0.831127i | \(-0.687696\pi\) | ||||
−0.556083 | + | 0.831127i | \(0.687696\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 70.6451 | 2.69921 | ||||||||
\(686\) | −19.6262 | + | 33.9937i | −0.749334 | + | 1.29788i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.24897 | + | 3.89533i | 0.0857412 | + | 0.148508i | ||||
\(689\) | −11.0072 | − | 19.0651i | −0.419343 | − | 0.726323i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.67870 | + | 4.63965i | −0.101903 | + | 0.176500i | −0.912468 | − | 0.409147i | \(-0.865826\pi\) |
0.810566 | + | 0.585647i | \(0.199160\pi\) | |||||||
\(692\) | 13.2110 | 0.502206 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 45.3610 | 1.72188 | ||||||||
\(695\) | −43.1312 | + | 74.7054i | −1.63606 | + | 2.83374i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.66684 | + | 6.35115i | 0.138892 | + | 0.240567i | ||||
\(698\) | 11.3905 | + | 19.7290i | 0.431138 | + | 0.746752i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 19.1951 | − | 33.2468i | 0.725505 | − | 1.25661i | ||||
\(701\) | −25.6536 | −0.968922 | −0.484461 | − | 0.874813i | \(-0.660984\pi\) | ||||
−0.484461 | + | 0.874813i | \(0.660984\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −15.0155 | −0.566320 | ||||||||
\(704\) | 7.63327 | − | 13.2212i | 0.287690 | − | 0.498293i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.10220 | + | 3.64111i | 0.0791172 | + | 0.137035i | ||||
\(707\) | −5.48930 | − | 9.50774i | −0.206446 | − | 0.357575i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.34524 | − | 4.06207i | 0.0880772 | − | 0.152554i | −0.818621 | − | 0.574334i | \(-0.805261\pi\) |
0.906698 | + | 0.421780i | \(0.138594\pi\) | |||||||
\(710\) | 8.77141 | 0.329185 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.166126 | 0.00622583 | ||||||||
\(713\) | −1.11732 | + | 1.93525i | −0.0418438 | + | 0.0724757i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −19.0189 | − | 32.9417i | −0.711266 | − | 1.23195i | ||||
\(716\) | −13.5178 | − | 23.4136i | −0.505185 | − | 0.875007i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −23.8555 | + | 41.3189i | −0.890280 | + | 1.54201i | ||||
\(719\) | 39.0669 | 1.45695 | 0.728476 | − | 0.685072i | \(-0.240229\pi\) | ||||
0.728476 | + | 0.685072i | \(0.240229\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 31.9786 | 1.19095 | ||||||||
\(722\) | −19.4712 | + | 33.7251i | −0.724643 | + | 1.25512i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −12.4042 | − | 21.4847i | −0.460998 | − | 0.798473i | ||||
\(725\) | −15.1976 | − | 26.3229i | −0.564423 | − | 0.977610i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.41266 | − | 9.37500i | 0.200744 | − | 0.347699i | −0.748024 | − | 0.663672i | \(-0.768997\pi\) |
0.948768 | + | 0.315972i | \(0.102331\pi\) | |||||||
\(728\) | −2.63030 | −0.0974853 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 34.1215 | 1.26290 | ||||||||
\(731\) | −1.56175 | + | 2.70502i | −0.0577632 | + | 0.100049i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.70620 | + | 2.95523i | 0.0630201 | + | 0.109154i | 0.895814 | − | 0.444429i | \(-0.146593\pi\) |
−0.832794 | + | 0.553583i | \(0.813260\pi\) | |||||||
\(734\) | 2.79174 | + | 4.83544i | 0.103045 | + | 0.178479i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.03714 | + | 3.52843i | −0.0750900 | + | 0.130060i | ||||
\(737\) | 31.1499 | 1.14742 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 26.3010 | 0.967497 | 0.483748 | − | 0.875207i | \(-0.339275\pi\) | ||||
0.483748 | + | 0.875207i | \(0.339275\pi\) | |||||||
\(740\) | 8.38814 | − | 14.5287i | 0.308354 | − | 0.534085i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.7888 | − | 18.6867i | −0.396069 | − | 0.686012i | ||||
\(743\) | −14.4719 | − | 25.0662i | −0.530924 | − | 0.919588i | −0.999349 | − | 0.0360843i | \(-0.988512\pi\) |
0.468424 | − | 0.883504i | \(-0.344822\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −28.6989 | + | 49.7080i | −1.05145 | + | 1.82116i | ||||
\(746\) | −56.7907 | −2.07925 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.0172 | 0.439394 | ||||||||
\(749\) | −13.6542 | + | 23.6498i | −0.498914 | + | 0.864144i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.72416 | + | 16.8427i | 0.354839 | + | 0.614600i | 0.987090 | − | 0.160164i | \(-0.0512022\pi\) |
−0.632251 | + | 0.774764i | \(0.717869\pi\) | |||||||
\(752\) | 0.502055 | + | 0.869585i | 0.0183081 | + | 0.0317105i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 16.2246 | − | 28.1019i | 0.590866 | − | 1.02341i | ||||
\(755\) | 21.8460 | 0.795058 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.59627 | 0.239745 | 0.119873 | − | 0.992789i | \(-0.461751\pi\) | ||||
0.119873 | + | 0.992789i | \(0.461751\pi\) | |||||||
\(758\) | −31.7094 | + | 54.9222i | −1.15174 | + | 1.99486i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.73783 | + | 4.74205i | 0.0993114 | + | 0.172012i | ||||
\(761\) | −5.16485 | − | 8.94578i | −0.187226 | − | 0.324284i | 0.757099 | − | 0.653301i | \(-0.226616\pi\) |
−0.944324 | + | 0.329016i | \(0.893283\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.1400 | − | 29.6873i | 0.620508 | − | 1.07475i | ||||
\(764\) | −25.2276 | −0.912703 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.32407 | 0.0478407 | ||||||||
\(767\) | 31.3960 | − | 54.3794i | 1.13364 | − | 1.96353i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.4295 | − | 38.8490i | −0.808828 | − | 1.40093i | −0.913676 | − | 0.406443i | \(-0.866769\pi\) |
0.104848 | − | 0.994488i | \(-0.466564\pi\) | |||||||
\(770\) | −18.6414 | − | 32.2879i | −0.671791 | − | 1.16358i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −14.1001 | + | 24.4222i | −0.507475 | + | 0.878973i | ||||
\(773\) | 42.9355 | 1.54428 | 0.772141 | − | 0.635452i | \(-0.219186\pi\) | ||||
0.772141 | + | 0.635452i | \(0.219186\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −37.4671 | −1.34586 | ||||||||
\(776\) | −0.841747 | + | 1.45795i | −0.0302170 | + | 0.0523373i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.19459 | + | 7.26525i | 0.150383 | + | 0.260472i | ||||
\(779\) | −7.77898 | − | 13.4736i | −0.278711 | − | 0.482742i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.31046 | − | 2.26978i | 0.0468919 | − | 0.0812192i | ||||
\(782\) | −3.00054 | −0.107299 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.29860 | 0.224950 | ||||||||
\(785\) | −2.24346 | + | 3.88578i | −0.0800724 | + | 0.138690i |