Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [190,2,Mod(61,190)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(190, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([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("190.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 190 = 2 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 190.k (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: | \(1.51715763840\) |
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: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 131.1 | ||
Root | \(1.15990 - 2.00901i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 190.131 |
Dual form | 190.2.k.d.161.1 |
$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | −1.77707 | − | 1.49114i | −1.02599 | − | 0.860909i | −0.0356229 | − | 0.999365i | \(-0.511342\pi\) |
−0.990369 | + | 0.138456i | \(0.955786\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | −0.939693 | + | 0.342020i | −0.420243 | + | 0.152956i | ||||
\(6\) | 1.77707 | − | 1.49114i | 0.725486 | − | 0.608755i | ||||
\(7\) | 2.45837 | + | 4.25802i | 0.929177 | + | 1.60938i | 0.784702 | + | 0.619873i | \(0.212816\pi\) |
0.144475 | + | 0.989508i | \(0.453851\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0.413538 | + | 2.34529i | 0.137846 | + | 0.781763i | ||||
\(10\) | −0.173648 | − | 0.984808i | −0.0549124 | − | 0.311424i | ||||
\(11\) | −1.42329 | + | 2.46520i | −0.429137 | + | 0.743287i | −0.996797 | − | 0.0799763i | \(-0.974516\pi\) |
0.567660 | + | 0.823263i | \(0.307849\pi\) | |||||||
\(12\) | 1.15990 | + | 2.00901i | 0.334834 | + | 0.579950i | ||||
\(13\) | −5.02662 | + | 4.21784i | −1.39413 | + | 1.16982i | −0.430500 | + | 0.902590i | \(0.641663\pi\) |
−0.963634 | + | 0.267227i | \(0.913893\pi\) | |||||||
\(14\) | −4.62023 | + | 1.68163i | −1.23481 | + | 0.449433i | ||||
\(15\) | 2.17990 | + | 0.793418i | 0.562847 | + | 0.204860i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.380503 | + | 2.15794i | −0.0922855 | + | 0.523377i | 0.903260 | + | 0.429094i | \(0.141167\pi\) |
−0.995545 | + | 0.0942832i | \(0.969944\pi\) | |||||||
\(18\) | −2.38147 | −0.561317 | ||||||||
\(19\) | 4.17271 | − | 1.26036i | 0.957285 | − | 0.289146i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | 1.98061 | − | 11.2326i | 0.432204 | − | 2.45115i | ||||
\(22\) | −2.18060 | − | 1.82974i | −0.464906 | − | 0.390102i | ||||
\(23\) | 2.49728 | + | 0.908934i | 0.520718 | + | 0.189526i | 0.588989 | − | 0.808141i | \(-0.299526\pi\) |
−0.0682711 | + | 0.997667i | \(0.521748\pi\) | |||||||
\(24\) | −2.17990 | + | 0.793418i | −0.444970 | + | 0.161956i | ||||
\(25\) | 0.766044 | − | 0.642788i | 0.153209 | − | 0.128558i | ||||
\(26\) | −3.28089 | − | 5.68268i | −0.643436 | − | 1.11446i | ||||
\(27\) | −0.717435 | + | 1.24263i | −0.138070 | + | 0.239145i | ||||
\(28\) | −0.853783 | − | 4.84205i | −0.161350 | − | 0.915061i | ||||
\(29\) | −1.32004 | − | 7.48630i | −0.245125 | − | 1.39017i | −0.820203 | − | 0.572072i | \(-0.806140\pi\) |
0.575079 | − | 0.818098i | \(-0.304971\pi\) | |||||||
\(30\) | −1.15990 | + | 2.00901i | −0.211768 | + | 0.366792i | ||||
\(31\) | 2.70769 | + | 4.68986i | 0.486316 | + | 0.842324i | 0.999876 | − | 0.0157295i | \(-0.00500705\pi\) |
−0.513560 | + | 0.858054i | \(0.671674\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 6.20524 | − | 2.25852i | 1.08019 | − | 0.393158i | ||||
\(34\) | −2.05908 | − | 0.749444i | −0.353130 | − | 0.128529i | ||||
\(35\) | −3.76644 | − | 3.16042i | −0.636645 | − | 0.534209i | ||||
\(36\) | 0.413538 | − | 2.34529i | 0.0689229 | − | 0.390881i | ||||
\(37\) | −2.06252 | −0.339076 | −0.169538 | − | 0.985524i | \(-0.554228\pi\) | ||||
−0.169538 | + | 0.985524i | \(0.554228\pi\) | |||||||
\(38\) | 0.516628 | + | 4.32817i | 0.0838081 | + | 0.702123i | ||||
\(39\) | 15.2220 | 2.43748 | ||||||||
\(40\) | −0.173648 | + | 0.984808i | −0.0274562 | + | 0.155712i | ||||
\(41\) | −7.16810 | − | 6.01475i | −1.11947 | − | 0.939346i | −0.120892 | − | 0.992666i | \(-0.538575\pi\) |
−0.998578 | + | 0.0533193i | \(0.983020\pi\) | |||||||
\(42\) | 10.7180 | + | 3.90103i | 1.65382 | + | 0.601942i | ||||
\(43\) | −1.62951 | + | 0.593093i | −0.248498 | + | 0.0904459i | −0.463266 | − | 0.886219i | \(-0.653323\pi\) |
0.214768 | + | 0.976665i | \(0.431100\pi\) | |||||||
\(44\) | 2.18060 | − | 1.82974i | 0.328738 | − | 0.275844i | ||||
\(45\) | −1.19073 | − | 2.06241i | −0.177504 | − | 0.307446i | ||||
\(46\) | −1.32877 | + | 2.30150i | −0.195917 | + | 0.339338i | ||||
\(47\) | −0.521812 | − | 2.95934i | −0.0761140 | − | 0.431664i | −0.998923 | − | 0.0464056i | \(-0.985223\pi\) |
0.922809 | − | 0.385259i | \(-0.125888\pi\) | |||||||
\(48\) | −0.402829 | − | 2.28456i | −0.0581433 | − | 0.329747i | ||||
\(49\) | −8.58718 | + | 14.8734i | −1.22674 | + | 2.12478i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 3.89396 | − | 3.26742i | 0.545264 | − | 0.457531i | ||||
\(52\) | 6.16606 | − | 2.24426i | 0.855079 | − | 0.311223i | ||||
\(53\) | 3.96752 | + | 1.44406i | 0.544981 | + | 0.198357i | 0.599815 | − | 0.800139i | \(-0.295241\pi\) |
−0.0548340 | + | 0.998495i | \(0.517463\pi\) | |||||||
\(54\) | −1.09917 | − | 0.922316i | −0.149579 | − | 0.125511i | ||||
\(55\) | 0.494302 | − | 2.80333i | 0.0666517 | − | 0.378000i | ||||
\(56\) | 4.91674 | 0.657027 | ||||||||
\(57\) | −9.29456 | − | 3.98234i | −1.23109 | − | 0.527474i | ||||
\(58\) | 7.60179 | 0.998163 | ||||||||
\(59\) | −0.167500 | + | 0.949937i | −0.0218066 | + | 0.123671i | −0.993768 | − | 0.111470i | \(-0.964444\pi\) |
0.971961 | + | 0.235141i | \(0.0755553\pi\) | |||||||
\(60\) | −1.77707 | − | 1.49114i | −0.229419 | − | 0.192505i | ||||
\(61\) | 7.04727 | + | 2.56500i | 0.902311 | + | 0.328414i | 0.751178 | − | 0.660099i | \(-0.229486\pi\) |
0.151132 | + | 0.988514i | \(0.451708\pi\) | |||||||
\(62\) | −5.08880 | + | 1.85217i | −0.646278 | + | 0.235226i | ||||
\(63\) | −8.96967 | + | 7.52644i | −1.13007 | + | 0.948243i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 3.28089 | − | 5.68268i | 0.406945 | − | 0.704849i | ||||
\(66\) | 1.14668 | + | 6.50315i | 0.141147 | + | 0.800483i | ||||
\(67\) | 0.333326 | + | 1.89039i | 0.0407223 | + | 0.230948i | 0.998376 | − | 0.0569765i | \(-0.0181460\pi\) |
−0.957653 | + | 0.287924i | \(0.907035\pi\) | |||||||
\(68\) | 1.09561 | − | 1.89766i | 0.132863 | − | 0.230125i | ||||
\(69\) | −3.08249 | − | 5.33902i | −0.371088 | − | 0.642743i | ||||
\(70\) | 3.76644 | − | 3.16042i | 0.450176 | − | 0.377743i | ||||
\(71\) | 5.79354 | − | 2.10868i | 0.687567 | − | 0.250254i | 0.0254738 | − | 0.999675i | \(-0.491891\pi\) |
0.662093 | + | 0.749422i | \(0.269668\pi\) | |||||||
\(72\) | 2.23785 | + | 0.814510i | 0.263733 | + | 0.0959909i | ||||
\(73\) | −3.04659 | − | 2.55639i | −0.356576 | − | 0.299203i | 0.446848 | − | 0.894610i | \(-0.352546\pi\) |
−0.803424 | + | 0.595407i | \(0.796991\pi\) | |||||||
\(74\) | 0.358153 | − | 2.03119i | 0.0416344 | − | 0.236121i | ||||
\(75\) | −2.31980 | −0.267867 | ||||||||
\(76\) | −4.35213 | − | 0.242800i | −0.499224 | − | 0.0278511i | ||||
\(77\) | −13.9959 | −1.59498 | ||||||||
\(78\) | −2.64328 | + | 14.9908i | −0.299292 | + | 1.69737i | ||||
\(79\) | 11.7380 | + | 9.84938i | 1.32063 | + | 1.10814i | 0.986171 | + | 0.165732i | \(0.0529988\pi\) |
0.334461 | + | 0.942409i | \(0.391446\pi\) | |||||||
\(80\) | −0.939693 | − | 0.342020i | −0.105061 | − | 0.0382390i | ||||
\(81\) | 9.84141 | − | 3.58198i | 1.09349 | − | 0.397998i | ||||
\(82\) | 7.16810 | − | 6.01475i | 0.791584 | − | 0.664218i | ||||
\(83\) | 0.656032 | + | 1.13628i | 0.0720089 | + | 0.124723i | 0.899782 | − | 0.436340i | \(-0.143726\pi\) |
−0.827773 | + | 0.561064i | \(0.810392\pi\) | |||||||
\(84\) | −5.70293 | + | 9.87776i | −0.622240 | + | 1.07775i | ||||
\(85\) | −0.380503 | − | 2.15794i | −0.0412713 | − | 0.234061i | ||||
\(86\) | −0.301121 | − | 1.70774i | −0.0324708 | − | 0.184151i | ||||
\(87\) | −8.81731 | + | 15.2720i | −0.945315 | + | 1.63733i | ||||
\(88\) | 1.42329 | + | 2.46520i | 0.151723 | + | 0.262792i | ||||
\(89\) | −8.25512 | + | 6.92687i | −0.875041 | + | 0.734247i | −0.965153 | − | 0.261685i | \(-0.915722\pi\) |
0.0901123 | + | 0.995932i | \(0.471277\pi\) | |||||||
\(90\) | 2.23785 | − | 0.814510i | 0.235890 | − | 0.0858569i | ||||
\(91\) | −30.3170 | − | 11.0345i | −3.17808 | − | 1.15673i | ||||
\(92\) | −2.03580 | − | 1.70824i | −0.212247 | − | 0.178096i | ||||
\(93\) | 2.18147 | − | 12.3718i | 0.226208 | − | 1.28289i | ||||
\(94\) | 3.00499 | 0.309941 | ||||||||
\(95\) | −3.49000 | + | 2.61150i | −0.358066 | + | 0.267934i | ||||
\(96\) | 2.31980 | 0.236764 | ||||||||
\(97\) | 0.356724 | − | 2.02308i | 0.0362198 | − | 0.205413i | −0.961328 | − | 0.275408i | \(-0.911187\pi\) |
0.997547 | + | 0.0699948i | \(0.0222983\pi\) | |||||||
\(98\) | −13.1563 | − | 11.0395i | −1.32899 | − | 1.11515i | ||||
\(99\) | −6.37020 | − | 2.31856i | −0.640229 | − | 0.233024i | ||||
\(100\) | −0.939693 | + | 0.342020i | −0.0939693 | + | 0.0342020i | ||||
\(101\) | −3.83762 | + | 3.22015i | −0.381857 | + | 0.320416i | −0.813431 | − | 0.581661i | \(-0.802403\pi\) |
0.431574 | + | 0.902078i | \(0.357959\pi\) | |||||||
\(102\) | 2.54161 | + | 4.40219i | 0.251656 | + | 0.435882i | ||||
\(103\) | 4.51744 | − | 7.82444i | 0.445117 | − | 0.770965i | −0.552943 | − | 0.833219i | \(-0.686495\pi\) |
0.998060 | + | 0.0622537i | \(0.0198288\pi\) | |||||||
\(104\) | 1.13944 | + | 6.46210i | 0.111732 | + | 0.633661i | ||||
\(105\) | 1.98061 | + | 11.2326i | 0.193287 | + | 1.09619i | ||||
\(106\) | −2.11108 | + | 3.65649i | −0.205046 | + | 0.355150i | ||||
\(107\) | −2.98391 | − | 5.16829i | −0.288466 | − | 0.499637i | 0.684978 | − | 0.728564i | \(-0.259812\pi\) |
−0.973444 | + | 0.228926i | \(0.926478\pi\) | |||||||
\(108\) | 1.09917 | − | 0.922316i | 0.105768 | − | 0.0887499i | ||||
\(109\) | 14.8753 | − | 5.41417i | 1.42480 | − | 0.518583i | 0.489360 | − | 0.872082i | \(-0.337230\pi\) |
0.935435 | + | 0.353499i | \(0.115008\pi\) | |||||||
\(110\) | 2.67490 | + | 0.973585i | 0.255042 | + | 0.0928277i | ||||
\(111\) | 3.66524 | + | 3.07550i | 0.347889 | + | 0.291914i | ||||
\(112\) | −0.853783 | + | 4.84205i | −0.0806750 | + | 0.457530i | ||||
\(113\) | 18.2051 | 1.71259 | 0.856296 | − | 0.516485i | \(-0.172760\pi\) | ||||
0.856296 | + | 0.516485i | \(0.172760\pi\) | |||||||
\(114\) | 5.53582 | − | 8.46183i | 0.518477 | − | 0.792523i | ||||
\(115\) | −2.65755 | −0.247817 | ||||||||
\(116\) | −1.32004 | + | 7.48630i | −0.122562 | + | 0.695085i | ||||
\(117\) | −11.9707 | − | 10.0446i | −1.10670 | − | 0.928628i | ||||
\(118\) | −0.906420 | − | 0.329910i | −0.0834427 | − | 0.0303707i | ||||
\(119\) | −10.1240 | + | 3.68482i | −0.928063 | + | 0.337787i | ||||
\(120\) | 1.77707 | − | 1.49114i | 0.162223 | − | 0.136122i | ||||
\(121\) | 1.44851 | + | 2.50890i | 0.131683 | + | 0.228082i | ||||
\(122\) | −3.74977 | + | 6.49480i | −0.339489 | + | 0.588012i | ||||
\(123\) | 3.76939 | + | 21.3773i | 0.339874 | + | 1.92752i | ||||
\(124\) | −0.940372 | − | 5.33311i | −0.0844479 | − | 0.478928i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | −5.85453 | − | 10.1404i | −0.521563 | − | 0.903374i | ||||
\(127\) | 5.85989 | − | 4.91703i | 0.519981 | − | 0.436316i | −0.344644 | − | 0.938733i | \(-0.612000\pi\) |
0.864625 | + | 0.502418i | \(0.167556\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 3.78014 | + | 1.37586i | 0.332823 | + | 0.121137i | ||||
\(130\) | 5.02662 | + | 4.21784i | 0.440864 | + | 0.369929i | ||||
\(131\) | −2.31209 | + | 13.1125i | −0.202008 | + | 1.14564i | 0.700071 | + | 0.714073i | \(0.253152\pi\) |
−0.902079 | + | 0.431571i | \(0.857960\pi\) | |||||||
\(132\) | −6.60347 | −0.574759 | ||||||||
\(133\) | 15.6247 | + | 14.6691i | 1.35483 | + | 1.27197i | ||||
\(134\) | −1.91955 | −0.165824 | ||||||||
\(135\) | 0.249162 | − | 1.41307i | 0.0214445 | − | 0.121618i | ||||
\(136\) | 1.67858 | + | 1.40849i | 0.143937 | + | 0.120777i | ||||
\(137\) | 6.79047 | + | 2.47153i | 0.580149 | + | 0.211157i | 0.615391 | − | 0.788222i | \(-0.288998\pi\) |
−0.0352423 | + | 0.999379i | \(0.511220\pi\) | |||||||
\(138\) | 5.79318 | − | 2.10854i | 0.493148 | − | 0.179491i | ||||
\(139\) | −1.84752 | + | 1.55026i | −0.156705 | + | 0.131491i | −0.717769 | − | 0.696281i | \(-0.754837\pi\) |
0.561064 | + | 0.827772i | \(0.310392\pi\) | |||||||
\(140\) | 2.45837 | + | 4.25802i | 0.207770 | + | 0.359869i | ||||
\(141\) | −3.48549 | + | 6.03705i | −0.293531 | + | 0.508411i | ||||
\(142\) | 1.07060 | + | 6.07169i | 0.0898430 | + | 0.509525i | ||||
\(143\) | −3.24351 | − | 18.3948i | −0.271236 | − | 1.53825i | ||||
\(144\) | −1.19073 | + | 2.06241i | −0.0992279 | + | 0.171868i | ||||
\(145\) | 3.80089 | + | 6.58334i | 0.315647 | + | 0.546717i | ||||
\(146\) | 3.04659 | − | 2.55639i | 0.252137 | − | 0.211568i | ||||
\(147\) | 37.4384 | − | 13.6264i | 3.08786 | − | 1.12389i | ||||
\(148\) | 1.93814 | + | 0.705424i | 0.159314 | + | 0.0579855i | ||||
\(149\) | −5.34602 | − | 4.48584i | −0.437963 | − | 0.367495i | 0.396983 | − | 0.917826i | \(-0.370057\pi\) |
−0.834946 | + | 0.550331i | \(0.814501\pi\) | |||||||
\(150\) | 0.402829 | − | 2.28456i | 0.0328908 | − | 0.186533i | ||||
\(151\) | −5.69362 | −0.463340 | −0.231670 | − | 0.972794i | \(-0.574419\pi\) | ||||
−0.231670 | + | 0.972794i | \(0.574419\pi\) | |||||||
\(152\) | 0.994851 | − | 4.24385i | 0.0806931 | − | 0.344222i | ||||
\(153\) | −5.21834 | −0.421878 | ||||||||
\(154\) | 2.43036 | − | 13.7832i | 0.195844 | − | 1.11068i | ||||
\(155\) | −4.14843 | − | 3.48094i | −0.333210 | − | 0.279596i | ||||
\(156\) | −14.3040 | − | 5.20624i | −1.14524 | − | 0.416833i | ||||
\(157\) | 4.99337 | − | 1.81744i | 0.398514 | − | 0.145047i | −0.134985 | − | 0.990848i | \(-0.543099\pi\) |
0.533500 | + | 0.845800i | \(0.320877\pi\) | |||||||
\(158\) | −11.7380 | + | 9.84938i | −0.933828 | + | 0.783575i | ||||
\(159\) | −4.89727 | − | 8.48232i | −0.388379 | − | 0.672692i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | 2.26897 | + | 12.8680i | 0.178820 | + | 1.01414i | ||||
\(162\) | 1.81862 | + | 10.3139i | 0.142884 | + | 0.810337i | ||||
\(163\) | 2.23679 | − | 3.87424i | 0.175199 | − | 0.303454i | −0.765031 | − | 0.643993i | \(-0.777276\pi\) |
0.940230 | + | 0.340540i | \(0.110610\pi\) | |||||||
\(164\) | 4.67865 | + | 8.10365i | 0.365341 | + | 0.632789i | ||||
\(165\) | −5.05856 | + | 4.24463i | −0.393808 | + | 0.330444i | ||||
\(166\) | −1.23294 | + | 0.448753i | −0.0956945 | + | 0.0348300i | ||||
\(167\) | −3.42872 | − | 1.24795i | −0.265322 | − | 0.0965694i | 0.205934 | − | 0.978566i | \(-0.433977\pi\) |
−0.471256 | + | 0.881997i | \(0.656199\pi\) | |||||||
\(168\) | −8.73739 | − | 7.33154i | −0.674104 | − | 0.565641i | ||||
\(169\) | 5.21936 | − | 29.6004i | 0.401489 | − | 2.27696i | ||||
\(170\) | 2.19123 | 0.168060 | ||||||||
\(171\) | 4.68148 | + | 9.26500i | 0.358002 | + | 0.708512i | ||||
\(172\) | 1.73409 | 0.132223 | ||||||||
\(173\) | −0.204264 | + | 1.15844i | −0.0155299 | + | 0.0880746i | −0.991588 | − | 0.129437i | \(-0.958683\pi\) |
0.976058 | + | 0.217512i | \(0.0697941\pi\) | |||||||
\(174\) | −13.5089 | − | 11.3353i | −1.02411 | − | 0.859328i | ||||
\(175\) | 4.62023 | + | 1.68163i | 0.349256 | + | 0.127119i | ||||
\(176\) | −2.67490 | + | 0.973585i | −0.201628 | + | 0.0733867i | ||||
\(177\) | 1.71415 | − | 1.43834i | 0.128843 | − | 0.108112i | ||||
\(178\) | −5.38815 | − | 9.33254i | −0.403859 | − | 0.699504i | ||||
\(179\) | −2.16529 | + | 3.75038i | −0.161841 | + | 0.280317i | −0.935529 | − | 0.353250i | \(-0.885077\pi\) |
0.773688 | + | 0.633567i | \(0.218410\pi\) | |||||||
\(180\) | 0.413538 | + | 2.34529i | 0.0308233 | + | 0.174807i | ||||
\(181\) | 0.237758 | + | 1.34839i | 0.0176724 | + | 0.100225i | 0.992368 | − | 0.123311i | \(-0.0393511\pi\) |
−0.974696 | + | 0.223536i | \(0.928240\pi\) | |||||||
\(182\) | 16.1313 | − | 27.9403i | 1.19573 | − | 2.07107i | ||||
\(183\) | −8.69872 | − | 15.0666i | −0.643028 | − | 1.11376i | ||||
\(184\) | 2.03580 | − | 1.70824i | 0.150081 | − | 0.125933i | ||||
\(185\) | 1.93814 | − | 0.705424i | 0.142495 | − | 0.0518638i | ||||
\(186\) | 11.8050 | + | 4.29667i | 0.865584 | + | 0.315047i | ||||
\(187\) | −4.77819 | − | 4.00938i | −0.349416 | − | 0.293195i | ||||
\(188\) | −0.521812 | + | 2.95934i | −0.0380570 | + | 0.215832i | ||||
\(189\) | −7.05488 | −0.513167 | ||||||||
\(190\) | −1.96579 | − | 3.89046i | −0.142614 | − | 0.282243i | ||||
\(191\) | 13.6338 | 0.986505 | 0.493252 | − | 0.869886i | \(-0.335808\pi\) | ||||
0.493252 | + | 0.869886i | \(0.335808\pi\) | |||||||
\(192\) | −0.402829 | + | 2.28456i | −0.0290717 | + | 0.164874i | ||||
\(193\) | −3.99835 | − | 3.35501i | −0.287807 | − | 0.241499i | 0.487441 | − | 0.873156i | \(-0.337931\pi\) |
−0.775248 | + | 0.631657i | \(0.782375\pi\) | |||||||
\(194\) | 1.93040 | + | 0.702609i | 0.138595 | + | 0.0504444i | ||||
\(195\) | −14.3040 | + | 5.20624i | −1.02433 | + | 0.372827i | ||||
\(196\) | 13.1563 | − | 11.0395i | 0.939737 | − | 0.788533i | ||||
\(197\) | −1.42771 | − | 2.47286i | −0.101720 | − | 0.176184i | 0.810674 | − | 0.585498i | \(-0.199101\pi\) |
−0.912393 | + | 0.409315i | \(0.865768\pi\) | |||||||
\(198\) | 3.38951 | − | 5.87080i | 0.240882 | − | 0.417220i | ||||
\(199\) | −0.254330 | − | 1.44238i | −0.0180290 | − | 0.102247i | 0.974465 | − | 0.224538i | \(-0.0720872\pi\) |
−0.992494 | + | 0.122290i | \(0.960976\pi\) | |||||||
\(200\) | −0.173648 | − | 0.984808i | −0.0122788 | − | 0.0696364i | ||||
\(201\) | 2.22649 | − | 3.85639i | 0.157044 | − | 0.272009i | ||||
\(202\) | −2.50483 | − | 4.33849i | −0.176239 | − | 0.305255i | ||||
\(203\) | 28.6317 | − | 24.0248i | 2.00955 | − | 1.68621i | ||||
\(204\) | −4.77666 | + | 1.73856i | −0.334433 | + | 0.121724i | ||||
\(205\) | 8.79298 | + | 3.20038i | 0.614128 | + | 0.223524i | ||||
\(206\) | 6.92112 | + | 5.80751i | 0.482218 | + | 0.404629i | ||||
\(207\) | −1.09900 | + | 6.23271i | −0.0763855 | + | 0.433203i | ||||
\(208\) | −6.56179 | −0.454978 | ||||||||
\(209\) | −2.83192 | + | 12.0804i | −0.195888 | + | 0.835621i | ||||
\(210\) | −11.4059 | −0.787079 | ||||||||
\(211\) | 0.227567 | − | 1.29059i | 0.0156663 | − | 0.0888482i | −0.975972 | − | 0.217896i | \(-0.930081\pi\) |
0.991638 | + | 0.129047i | \(0.0411919\pi\) | |||||||
\(212\) | −3.23435 | − | 2.71395i | −0.222136 | − | 0.186395i | ||||
\(213\) | −13.4399 | − | 4.89171i | −0.920883 | − | 0.335174i | ||||
\(214\) | 5.60792 | − | 2.04112i | 0.383350 | − | 0.139528i | ||||
\(215\) | 1.32839 | − | 1.11465i | 0.0905954 | − | 0.0760186i | ||||
\(216\) | 0.717435 | + | 1.24263i | 0.0488152 | + | 0.0845505i | ||||
\(217\) | −13.3130 | + | 23.0588i | −0.903747 | + | 1.56534i | ||||
\(218\) | 2.74884 | + | 15.5895i | 0.186175 | + | 1.05585i | ||||
\(219\) | 1.60206 | + | 9.08576i | 0.108257 | + | 0.613959i | ||||
\(220\) | −1.42329 | + | 2.46520i | −0.0959579 | + | 0.166204i | ||||
\(221\) | −7.18919 | − | 12.4520i | −0.483597 | − | 0.837615i | ||||
\(222\) | −3.66524 | + | 3.07550i | −0.245995 | + | 0.206414i | ||||
\(223\) | −26.4339 | + | 9.62115i | −1.77014 | + | 0.644280i | −0.770164 | + | 0.637846i | \(0.779826\pi\) |
−0.999979 | + | 0.00643379i | \(0.997952\pi\) | |||||||
\(224\) | −4.62023 | − | 1.68163i | −0.308702 | − | 0.112358i | ||||
\(225\) | 1.82431 | + | 1.53078i | 0.121621 | + | 0.102052i | ||||
\(226\) | −3.16128 | + | 17.9285i | −0.210285 | + | 1.19259i | ||||
\(227\) | 12.6466 | 0.839382 | 0.419691 | − | 0.907667i | \(-0.362138\pi\) | ||||
0.419691 | + | 0.907667i | \(0.362138\pi\) | |||||||
\(228\) | 7.37199 | + | 6.92110i | 0.488222 | + | 0.458361i | ||||
\(229\) | 13.7440 | 0.908227 | 0.454113 | − | 0.890944i | \(-0.349956\pi\) | ||||
0.454113 | + | 0.890944i | \(0.349956\pi\) | |||||||
\(230\) | 0.461478 | − | 2.61717i | 0.0304290 | − | 0.172571i | ||||
\(231\) | 24.8716 | + | 20.8698i | 1.63643 | + | 1.37313i | ||||
\(232\) | −7.14334 | − | 2.59996i | −0.468983 | − | 0.170696i | ||||
\(233\) | −23.1335 | + | 8.41990i | −1.51552 | + | 0.551606i | −0.960026 | − | 0.279911i | \(-0.909695\pi\) |
−0.555499 | + | 0.831517i | \(0.687473\pi\) | |||||||
\(234\) | 11.9707 | − | 10.0446i | 0.782552 | − | 0.656639i | ||||
\(235\) | 1.50250 | + | 2.60240i | 0.0980121 | + | 0.169762i | ||||
\(236\) | 0.482296 | − | 0.835361i | 0.0313948 | − | 0.0543774i | ||||
\(237\) | −6.17251 | − | 35.0061i | −0.400948 | − | 2.27389i | ||||
\(238\) | −1.87083 | − | 10.6100i | −0.121268 | − | 0.687746i | ||||
\(239\) | 8.14698 | − | 14.1110i | 0.526984 | − | 0.912763i | −0.472522 | − | 0.881319i | \(-0.656656\pi\) |
0.999506 | − | 0.0314439i | \(-0.0100106\pi\) | |||||||
\(240\) | 1.15990 | + | 2.00901i | 0.0748712 | + | 0.129681i | ||||
\(241\) | −14.7500 | + | 12.3767i | −0.950133 | + | 0.797256i | −0.979320 | − | 0.202318i | \(-0.935153\pi\) |
0.0291873 | + | 0.999574i | \(0.490708\pi\) | |||||||
\(242\) | −2.72232 | + | 0.990842i | −0.174997 | + | 0.0636938i | ||||
\(243\) | −18.7851 | − | 6.83722i | −1.20506 | − | 0.438608i | ||||
\(244\) | −5.74499 | − | 4.82062i | −0.367785 | − | 0.308608i | ||||
\(245\) | 2.98230 | − | 16.9134i | 0.190532 | − | 1.08056i | ||||
\(246\) | −21.7070 | −1.38399 | ||||||||
\(247\) | −15.6586 | + | 23.9351i | −0.996335 | + | 1.52296i | ||||
\(248\) | 5.41539 | 0.343877 | ||||||||
\(249\) | 0.528538 | − | 2.99749i | 0.0334947 | − | 0.189958i | ||||
\(250\) | −0.766044 | − | 0.642788i | −0.0484489 | − | 0.0406535i | ||||
\(251\) | 26.0953 | + | 9.49792i | 1.64712 | + | 0.599504i | 0.988263 | − | 0.152762i | \(-0.0488169\pi\) |
0.658860 | + | 0.752266i | \(0.271039\pi\) | |||||||
\(252\) | 11.0029 | − | 4.00474i | 0.693119 | − | 0.252275i | ||||
\(253\) | −5.79505 | + | 4.86262i | −0.364331 | + | 0.305710i | ||||
\(254\) | 3.82477 | + | 6.62470i | 0.239987 | + | 0.415671i | ||||
\(255\) | −2.54161 | + | 4.40219i | −0.159161 | + | 0.275676i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 2.26963 | + | 12.8717i | 0.141576 | + | 0.802915i | 0.970053 | + | 0.242893i | \(0.0780962\pi\) |
−0.828478 | + | 0.560022i | \(0.810793\pi\) | |||||||
\(258\) | −2.01137 | + | 3.48379i | −0.125222 | + | 0.216891i | ||||
\(259\) | −5.07044 | − | 8.78226i | −0.315062 | − | 0.545703i | ||||
\(260\) | −5.02662 | + | 4.21784i | −0.311738 | + | 0.261579i | ||||
\(261\) | 17.0116 | − | 6.19173i | 1.05299 | − | 0.383259i | ||||
\(262\) | −12.5118 | − | 4.55392i | −0.772981 | − | 0.281342i | ||||
\(263\) | 11.5336 | + | 9.67780i | 0.711190 | + | 0.596759i | 0.924933 | − | 0.380131i | \(-0.124121\pi\) |
−0.213743 | + | 0.976890i | \(0.568566\pi\) | |||||||
\(264\) | 1.14668 | − | 6.50315i | 0.0705734 | − | 0.400241i | ||||
\(265\) | −4.22215 | −0.259365 | ||||||||
\(266\) | −17.1594 | + | 12.8401i | −1.05211 | + | 0.787276i | ||||
\(267\) | 24.9988 | 1.52990 | ||||||||
\(268\) | 0.333326 | − | 1.89039i | 0.0203612 | − | 0.115474i | ||||
\(269\) | 18.7339 | + | 15.7196i | 1.14222 | + | 0.958439i | 0.999509 | − | 0.0313248i | \(-0.00997262\pi\) |
0.142714 | + | 0.989764i | \(0.454417\pi\) | |||||||
\(270\) | 1.34834 | + | 0.490754i | 0.0820571 | + | 0.0298663i | ||||
\(271\) | −8.41094 | + | 3.06133i | −0.510928 | + | 0.185963i | −0.584603 | − | 0.811320i | \(-0.698750\pi\) |
0.0736745 | + | 0.997282i | \(0.476527\pi\) | |||||||
\(272\) | −1.67858 | + | 1.40849i | −0.101779 | + | 0.0854025i | ||||
\(273\) | 37.4214 | + | 64.8158i | 2.26485 | + | 3.92283i | ||||
\(274\) | −3.61313 | + | 6.25813i | −0.218277 | + | 0.378067i | ||||
\(275\) | 0.494302 | + | 2.80333i | 0.0298075 | + | 0.169047i | ||||
\(276\) | 1.07054 | + | 6.07131i | 0.0644387 | + | 0.365450i | ||||
\(277\) | 3.90071 | − | 6.75622i | 0.234371 | − | 0.405942i | −0.724719 | − | 0.689045i | \(-0.758030\pi\) |
0.959090 | + | 0.283103i | \(0.0913637\pi\) | |||||||
\(278\) | −1.20589 | − | 2.08866i | −0.0723242 | − | 0.125269i | ||||
\(279\) | −9.87935 | + | 8.28976i | −0.591461 | + | 0.496295i | ||||
\(280\) | −4.62023 | + | 1.68163i | −0.276111 | + | 0.100496i | ||||
\(281\) | −17.1947 | − | 6.25837i | −1.02575 | − | 0.373343i | −0.226290 | − | 0.974060i | \(-0.572660\pi\) |
−0.799462 | + | 0.600717i | \(0.794882\pi\) | |||||||
\(282\) | −5.34008 | − | 4.48086i | −0.317997 | − | 0.266831i | ||||
\(283\) | 1.25513 | − | 7.11822i | 0.0746100 | − | 0.423134i | −0.924509 | − | 0.381161i | \(-0.875524\pi\) |
0.999119 | − | 0.0419735i | \(-0.0133645\pi\) | |||||||
\(284\) | −6.16536 | −0.365847 | ||||||||
\(285\) | 10.0961 | + | 0.563248i | 0.598040 | + | 0.0333639i | ||||
\(286\) | 18.6786 | 1.10449 | ||||||||
\(287\) | 7.98910 | − | 45.3084i | 0.471582 | − | 2.67447i | ||||
\(288\) | −1.82431 | − | 1.53078i | −0.107499 | − | 0.0902020i | ||||
\(289\) | 11.4629 | + | 4.17214i | 0.674286 | + | 0.245420i | ||||
\(290\) | −7.14334 | + | 2.59996i | −0.419471 | + | 0.152675i | ||||
\(291\) | −3.65062 | + | 3.06323i | −0.214003 | + | 0.179570i | ||||
\(292\) | 1.98852 | + | 3.44421i | 0.116369 | + | 0.201557i | ||||
\(293\) | −5.69330 | + | 9.86109i | −0.332606 | + | 0.576091i | −0.983022 | − | 0.183488i | \(-0.941261\pi\) |
0.650416 | + | 0.759578i | \(0.274595\pi\) | |||||||
\(294\) | 6.91833 | + | 39.2358i | 0.403485 | + | 2.28828i | ||||
\(295\) | −0.167500 | − | 0.949937i | −0.00975220 | − | 0.0553075i | ||||
\(296\) | −1.03126 | + | 1.78620i | −0.0599408 | + | 0.103821i | ||||
\(297\) | −2.04223 | − | 3.53724i | −0.118502 | − | 0.205252i | ||||
\(298\) | 5.34602 | − | 4.48584i | 0.309687 | − | 0.259858i | ||||
\(299\) | −16.3866 | + | 5.96423i | −0.947662 | + | 0.344921i | ||||
\(300\) | 2.17990 | + | 0.793418i | 0.125856 | + | 0.0458080i | ||||
\(301\) | −6.53135 | − | 5.48045i | −0.376461 | − | 0.315888i | ||||
\(302\) | 0.988686 | − | 5.60712i | 0.0568925 | − | 0.322653i | ||||
\(303\) | 11.6214 | 0.667632 | ||||||||
\(304\) | 4.00662 | + | 1.71667i | 0.229796 | + | 0.0984580i | ||||
\(305\) | −7.49955 | −0.429423 | ||||||||
\(306\) | 0.906156 | − | 5.13906i | 0.0518015 | − | 0.293781i | ||||
\(307\) | 3.78649 | + | 3.17725i | 0.216107 | + | 0.181335i | 0.744414 | − | 0.667718i | \(-0.232729\pi\) |
−0.528308 | + | 0.849053i | \(0.677173\pi\) | |||||||
\(308\) | 13.1518 | + | 4.78687i | 0.749394 | + | 0.272757i | ||||
\(309\) | −19.6951 | + | 7.16844i | −1.12042 | + | 0.407798i | ||||
\(310\) | 4.14843 | − | 3.48094i | 0.235615 | − | 0.197704i | ||||
\(311\) | −12.0586 | − | 20.8861i | −0.683782 | − | 1.18434i | −0.973818 | − | 0.227329i | \(-0.927001\pi\) |
0.290036 | − | 0.957016i | \(-0.406333\pi\) | |||||||
\(312\) | 7.61102 | − | 13.1827i | 0.430889 | − | 0.746322i | ||||
\(313\) | −5.37886 | − | 30.5050i | −0.304031 | − | 1.72424i | −0.628031 | − | 0.778188i | \(-0.716139\pi\) |
0.324001 | − | 0.946057i | \(-0.394972\pi\) | |||||||
\(314\) | 0.922737 | + | 5.23310i | 0.0520731 | + | 0.295321i | ||||
\(315\) | 5.85453 | − | 10.1404i | 0.329866 | − | 0.571344i | ||||
\(316\) | −7.66146 | − | 13.2700i | −0.430991 | − | 0.746498i | ||||
\(317\) | −5.29378 | + | 4.44201i | −0.297328 | + | 0.249488i | −0.779231 | − | 0.626737i | \(-0.784390\pi\) |
0.481903 | + | 0.876225i | \(0.339946\pi\) | |||||||
\(318\) | 9.20386 | − | 3.34993i | 0.516127 | − | 0.187855i | ||||
\(319\) | 20.3340 | + | 7.40098i | 1.13849 | + | 0.414376i | ||||
\(320\) | 0.766044 | + | 0.642788i | 0.0428232 | + | 0.0359329i | ||||
\(321\) | −2.40401 | + | 13.6338i | −0.134179 | + | 0.760966i | ||||
\(322\) | −13.0665 | −0.728166 | ||||||||
\(323\) | 1.13205 | + | 9.48402i | 0.0629890 | + | 0.527705i | ||||
\(324\) | −10.4730 | −0.581834 | ||||||||
\(325\) | −1.13944 | + | 6.46210i | −0.0632049 | + | 0.358453i | ||||
\(326\) | 3.42697 | + | 2.87557i | 0.189802 | + | 0.159263i | ||||
\(327\) | −34.5077 | − | 12.5598i | −1.90828 | − | 0.694557i | ||||
\(328\) | −8.79298 | + | 3.20038i | −0.485511 | + | 0.176712i | ||||
\(329\) | 11.3181 | − | 9.49705i | 0.623989 | − | 0.523589i | ||||
\(330\) | −3.30174 | − | 5.71878i | −0.181755 | − | 0.314808i | ||||
\(331\) | −2.08943 | + | 3.61900i | −0.114845 | + | 0.198918i | −0.917718 | − | 0.397233i | \(-0.869971\pi\) |
0.802873 | + | 0.596151i | \(0.203304\pi\) | |||||||
\(332\) | −0.227838 | − | 1.29213i | −0.0125042 | − | 0.0709149i | ||||
\(333\) | −0.852930 | − | 4.83721i | −0.0467403 | − | 0.265077i | ||||
\(334\) | 1.82438 | − | 3.15992i | 0.0998258 | − | 0.172903i | ||||
\(335\) | −0.959775 | − | 1.66238i | −0.0524381 | − | 0.0908255i | ||||
\(336\) | 8.73739 | − | 7.33154i | 0.476664 | − | 0.399968i | ||||
\(337\) | −16.1638 | + | 5.88315i | −0.880500 | + | 0.320476i | −0.742411 | − | 0.669944i | \(-0.766318\pi\) |
−0.138088 | + | 0.990420i | \(0.544096\pi\) | |||||||
\(338\) | 28.2444 | + | 10.2801i | 1.53629 | + | 0.559165i | ||||
\(339\) | −32.3517 | − | 27.1463i | −1.75710 | − | 1.47439i | ||||
\(340\) | −0.380503 | + | 2.15794i | −0.0206357 | + | 0.117031i | ||||
\(341\) | −15.4153 | −0.834784 | ||||||||
\(342\) | −9.93717 | + | 3.00151i | −0.537341 | + | 0.162303i | ||||
\(343\) | −50.0247 | −2.70108 | ||||||||
\(344\) | −0.301121 | + | 1.70774i | −0.0162354 | + | 0.0920754i | ||||
\(345\) | 4.72264 | + | 3.96277i | 0.254259 | + | 0.213348i | ||||
\(346\) | −1.10537 | − | 0.402322i | −0.0594251 | − | 0.0216290i | ||||
\(347\) | −17.3494 | + | 6.31466i | −0.931364 | + | 0.338989i | −0.762750 | − | 0.646693i | \(-0.776151\pi\) |
−0.168614 | + | 0.985682i | \(0.553929\pi\) | |||||||
\(348\) | 13.5089 | − | 11.3353i | 0.724153 | − | 0.607637i | ||||
\(349\) | −12.3704 | − | 21.4262i | −0.662174 | − | 1.14692i | −0.980043 | − | 0.198784i | \(-0.936301\pi\) |
0.317870 | − | 0.948134i | \(-0.397033\pi\) | |||||||
\(350\) | −2.45837 | + | 4.25802i | −0.131405 | + | 0.227601i | ||||
\(351\) | −1.63495 | − | 9.27227i | −0.0872672 | − | 0.494917i | ||||
\(352\) | −0.494302 | − | 2.80333i | −0.0263464 | − | 0.149418i | ||||
\(353\) | 3.20496 | − | 5.55115i | 0.170583 | − | 0.295458i | −0.768041 | − | 0.640401i | \(-0.778768\pi\) |
0.938624 | + | 0.344943i | \(0.112102\pi\) | |||||||
\(354\) | 1.11883 | + | 1.93787i | 0.0594651 | + | 0.102997i | ||||
\(355\) | −4.72294 | + | 3.96302i | −0.250668 | + | 0.210335i | ||||
\(356\) | 10.1264 | − | 3.68571i | 0.536698 | − | 0.195342i | ||||
\(357\) | 23.4856 | + | 8.54805i | 1.24299 | + | 0.452411i | ||||
\(358\) | −3.31741 | − | 2.78364i | −0.175331 | − | 0.147120i | ||||
\(359\) | −6.39293 | + | 36.2561i | −0.337406 | + | 1.91353i | 0.0646449 | + | 0.997908i | \(0.479409\pi\) |
−0.402051 | + | 0.915617i | \(0.631703\pi\) | |||||||
\(360\) | −2.38147 | −0.125514 | ||||||||
\(361\) | 15.8230 | − | 10.5182i | 0.832789 | − | 0.553591i | ||||
\(362\) | −1.36920 | −0.0719633 | ||||||||
\(363\) | 1.16701 | − | 6.61843i | 0.0612520 | − | 0.347377i | ||||
\(364\) | 24.7146 | + | 20.7380i | 1.29540 | + | 1.08697i | ||||
\(365\) | 3.73719 | + | 1.36023i | 0.195613 | + | 0.0711975i | ||||
\(366\) | 16.3483 | − | 5.95028i | 0.854537 | − | 0.311026i | ||||
\(367\) | 11.2025 | − | 9.39999i | 0.584764 | − | 0.490676i | −0.301743 | − | 0.953389i | \(-0.597569\pi\) |
0.886508 | + | 0.462714i | \(0.153124\pi\) | |||||||
\(368\) | 1.32877 | + | 2.30150i | 0.0692671 | + | 0.119974i | ||||
\(369\) | 11.1420 | − | 19.2986i | 0.580032 | − | 1.00464i | ||||
\(370\) | 0.358153 | + | 2.03119i | 0.0186195 | + | 0.105596i | ||||
\(371\) | 3.60480 | + | 20.4438i | 0.187152 | + | 1.06139i | ||||
\(372\) | −6.28130 | + | 10.8795i | −0.325670 | + | 0.564078i | ||||
\(373\) | 6.77871 | + | 11.7411i | 0.350989 | + | 0.607930i | 0.986423 | − | 0.164225i | \(-0.0525123\pi\) |
−0.635434 | + | 0.772155i | \(0.719179\pi\) | |||||||
\(374\) | 4.77819 | − | 4.00938i | 0.247075 | − | 0.207320i | ||||
\(375\) | 2.17990 | − | 0.793418i | 0.112569 | − | 0.0409719i | ||||
\(376\) | −2.82377 | − | 1.02777i | −0.145625 | − | 0.0530031i | ||||
\(377\) | 38.2113 | + | 32.0631i | 1.96798 | + | 1.65133i | ||||
\(378\) | 1.22507 | − | 6.94770i | 0.0630107 | − | 0.357351i | ||||
\(379\) | 30.2899 | 1.55589 | 0.777944 | − | 0.628333i | \(-0.216262\pi\) | ||||
0.777944 | + | 0.628333i | \(0.216262\pi\) | |||||||
\(380\) | 4.17271 | − | 1.26036i | 0.214055 | − | 0.0646551i | ||||
\(381\) | −17.7454 | −0.909124 | ||||||||
\(382\) | −2.36748 | + | 13.4266i | −0.121131 | + | 0.686967i | ||||
\(383\) | −21.9571 | − | 18.4242i | −1.12196 | − | 0.941433i | −0.123254 | − | 0.992375i | \(-0.539333\pi\) |
−0.998702 | + | 0.0509425i | \(0.983777\pi\) | |||||||
\(384\) | −2.17990 | − | 0.793418i | −0.111242 | − | 0.0404889i | ||||
\(385\) | 13.1518 | − | 4.78687i | 0.670278 | − | 0.243961i | ||||
\(386\) | 3.99835 | − | 3.35501i | 0.203511 | − | 0.170766i | ||||
\(387\) | −2.06484 | − | 3.57641i | −0.104962 | − | 0.181799i | ||||
\(388\) | −1.02715 | + | 1.77907i | −0.0521454 | + | 0.0903186i | ||||
\(389\) | 2.97395 | + | 16.8661i | 0.150785 | + | 0.855145i | 0.962539 | + | 0.271145i | \(0.0874021\pi\) |
−0.811754 | + | 0.584000i | \(0.801487\pi\) | |||||||
\(390\) | −2.64328 | − | 14.9908i | −0.133848 | − | 0.759087i | ||||
\(391\) | −2.91165 | + | 5.04312i | −0.147248 | + | 0.255041i | ||||
\(392\) | 8.58718 | + | 14.8734i | 0.433718 | + | 0.751222i | ||||
\(393\) | 23.6613 | − | 19.8542i | 1.19355 | − | 1.00151i | ||||
\(394\) | 2.68321 | − | 0.976608i | 0.135178 | − | 0.0492008i | ||||
\(395\) | −14.3988 | − | 5.24075i | −0.724484 | − | 0.263691i | ||||
\(396\) | 5.19303 | + | 4.35747i | 0.260960 | + | 0.218971i | ||||
\(397\) | 4.53308 | − | 25.7084i | 0.227509 | − | 1.29027i | −0.630322 | − | 0.776334i | \(-0.717077\pi\) |
0.857831 | − | 0.513932i | \(-0.171812\pi\) | |||||||
\(398\) | 1.46463 | 0.0734151 | ||||||||
\(399\) | −5.89259 | − | 49.3665i | −0.294998 | − | 2.47142i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −1.61683 | + | 9.16948i | −0.0807405 | + | 0.457902i | 0.917454 | + | 0.397841i | \(0.130241\pi\) |
−0.998195 | + | 0.0600607i | \(0.980871\pi\) | |||||||
\(402\) | 3.41117 | + | 2.86232i | 0.170134 | + | 0.142759i | ||||
\(403\) | −33.3916 | − | 12.1536i | −1.66336 | − | 0.605412i | ||||
\(404\) | 4.70754 | − | 1.71340i | 0.234209 | − | 0.0852450i | ||||
\(405\) | −8.02279 | + | 6.73192i | −0.398656 | + | 0.334512i | ||||
\(406\) | 18.6880 | + | 32.3686i | 0.927471 | + | 1.60643i | ||||
\(407\) | 2.93556 | − | 5.08453i | 0.145510 | − | 0.252031i | ||||
\(408\) | −0.882690 | − | 5.00598i | −0.0436997 | − | 0.247833i | ||||
\(409\) | 2.53175 | + | 14.3583i | 0.125187 | + | 0.709972i | 0.981196 | + | 0.193012i | \(0.0618255\pi\) |
−0.856009 | + | 0.516960i | \(0.827063\pi\) | |||||||
\(410\) | −4.67865 | + | 8.10365i | −0.231062 | + | 0.400211i | ||||
\(411\) | −8.38174 | − | 14.5176i | −0.413441 | − | 0.716101i | ||||
\(412\) | −6.92112 | + | 5.80751i | −0.340979 | + | 0.286116i | ||||
\(413\) | −4.45663 | + | 1.62208i | −0.219297 | + | 0.0798174i | ||||
\(414\) | −5.94718 | − | 2.16460i | −0.292288 | − | 0.106384i | ||||
\(415\) | −1.00510 | − | 0.843379i | −0.0493384 | − | 0.0413999i | ||||
\(416\) | 1.13944 | − | 6.46210i | 0.0558658 | − | 0.316831i | ||||
\(417\) | 5.59483 | 0.273980 | ||||||||
\(418\) | −11.4051 | − | 4.88664i | −0.557844 | − | 0.239013i | ||||
\(419\) | 14.5969 | 0.713103 | 0.356552 | − | 0.934276i | \(-0.383952\pi\) | ||||
0.356552 | + | 0.934276i | \(0.383952\pi\) | |||||||
\(420\) | 1.98061 | − | 11.2326i | 0.0966437 | − | 0.548094i | ||||
\(421\) | −30.0605 | − | 25.2237i | −1.46506 | − | 1.22933i | −0.920580 | − | 0.390554i | \(-0.872283\pi\) |
−0.544478 | − | 0.838775i | \(-0.683272\pi\) | |||||||
\(422\) | 1.23147 | + | 0.448219i | 0.0599471 | + | 0.0218190i | ||||
\(423\) | 6.72472 | − | 2.44760i | 0.326967 | − | 0.119006i | ||||
\(424\) | 3.23435 | − | 2.71395i | 0.157074 | − | 0.131801i | ||||
\(425\) | 1.09561 | + | 1.89766i | 0.0531451 | + | 0.0920500i | ||||
\(426\) | 7.15120 | − | 12.3862i | 0.346477 | − | 0.600115i | ||||
\(427\) | 6.40299 | + | 36.3132i | 0.309862 | + | 1.75732i | ||||
\(428\) | 1.03630 | + | 5.87716i | 0.0500916 | + | 0.284083i | ||||
\(429\) | −21.6653 | + | 37.5254i | −1.04601 | + | 1.81174i | ||||
\(430\) | 0.867044 | + | 1.50177i | 0.0418126 | + | 0.0724215i | ||||
\(431\) | 16.7585 | − | 14.0620i | 0.807228 | − | 0.677345i | −0.142716 | − | 0.989764i | \(-0.545584\pi\) |
0.949944 | + | 0.312419i | \(0.101139\pi\) | |||||||
\(432\) | −1.34834 | + | 0.490754i | −0.0648718 | + | 0.0236114i | ||||
\(433\) | 1.03524 | + | 0.376798i | 0.0497507 | + | 0.0181078i | 0.366776 | − | 0.930309i | \(-0.380462\pi\) |
−0.317025 | + | 0.948417i | \(0.602684\pi\) | |||||||
\(434\) | −20.3967 | − | 17.1149i | −0.979075 | − | 0.821542i | ||||
\(435\) | 3.06222 | − | 17.3667i | 0.146822 | − | 0.832670i | ||||
\(436\) | −15.8300 | −0.758118 | ||||||||
\(437\) | 11.5660 | + | 0.645253i | 0.553276 | + | 0.0308666i | ||||
\(438\) | −9.22592 | −0.440832 | ||||||||
\(439\) | −0.732304 | + | 4.15310i | −0.0349510 | + | 0.198217i | −0.997284 | − | 0.0736582i | \(-0.976533\pi\) |
0.962333 | + | 0.271875i | \(0.0876437\pi\) | |||||||
\(440\) | −2.18060 | − | 1.82974i | −0.103956 | − | 0.0872295i | ||||
\(441\) | −38.4336 | − | 13.9887i | −1.83017 | − | 0.666128i | ||||
\(442\) | 13.5113 | − | 4.91770i | 0.642665 | − | 0.233911i | ||||
\(443\) | 5.80899 | − | 4.87432i | 0.275993 | − | 0.231586i | −0.494275 | − | 0.869305i | \(-0.664567\pi\) |
0.770269 | + | 0.637719i | \(0.220122\pi\) | |||||||
\(444\) | −2.39232 | − | 4.14362i | −0.113534 | − | 0.196647i | ||||
\(445\) | 5.38815 | − | 9.33254i | 0.255423 | − | 0.442405i | ||||
\(446\) | −4.88478 | − | 27.7030i | −0.231301 | − | 1.31177i | ||||
\(447\) | 2.81124 | + | 15.9433i | 0.132967 | + | 0.754093i | ||||
\(448\) | 2.45837 | − | 4.25802i | 0.116147 | − | 0.201173i | ||||
\(449\) | −14.8487 | − | 25.7188i | −0.700756 | − | 1.21374i | −0.968202 | − | 0.250171i | \(-0.919513\pi\) |
0.267446 | − | 0.963573i | \(-0.413820\pi\) | |||||||
\(450\) | −1.82431 | + | 1.53078i | −0.0859988 | + | 0.0721616i | ||||
\(451\) | 25.0298 | − | 9.11012i | 1.17861 | − | 0.428979i | ||||
\(452\) | −17.1072 | − | 6.22651i | −0.804655 | − | 0.292871i | ||||
\(453\) | 10.1180 | + | 8.48997i | 0.475383 | + | 0.398894i | ||||
\(454\) | −2.19605 | + | 12.4544i | −0.103066 | + | 0.584515i | ||||
\(455\) | 32.2626 | 1.51250 | ||||||||
\(456\) | −8.09609 | + | 6.05816i | −0.379134 | + | 0.283699i | ||||
\(457\) | 9.12576 | 0.426885 | 0.213442 | − | 0.976956i | \(-0.431532\pi\) | ||||
0.213442 | + | 0.976956i | \(0.431532\pi\) | |||||||
\(458\) | −2.38661 | + | 13.5352i | −0.111519 | + | 0.632456i | ||||
\(459\) | −2.40854 | − | 2.02101i | −0.112421 | − | 0.0943324i | ||||
\(460\) | 2.49728 | + | 0.908934i | 0.116436 | + | 0.0423793i | ||||
\(461\) | 24.7943 | − | 9.02439i | 1.15479 | − | 0.420308i | 0.307554 | − | 0.951531i | \(-0.400490\pi\) |
0.847232 | + | 0.531223i | \(0.178267\pi\) | |||||||
\(462\) | −24.8716 | + | 20.8698i | −1.15713 | + | 0.970949i | ||||
\(463\) | 7.86094 | + | 13.6156i | 0.365329 | + | 0.632768i | 0.988829 | − | 0.149055i | \(-0.0476232\pi\) |
−0.623500 | + | 0.781823i | \(0.714290\pi\) | |||||||
\(464\) | 3.80089 | − | 6.58334i | 0.176452 | − | 0.305624i | ||||
\(465\) | 2.18147 | + | 12.3718i | 0.101163 | + | 0.573726i | ||||
\(466\) | −4.27489 | − | 24.2441i | −0.198031 | − | 1.12309i | ||||
\(467\) | 3.44966 | − | 5.97499i | 0.159631 | − | 0.276490i | −0.775104 | − | 0.631833i | \(-0.782303\pi\) |
0.934736 | + | 0.355344i | \(0.115636\pi\) | |||||||
\(468\) | 7.81335 | + | 13.5331i | 0.361172 | + | 0.625568i | ||||
\(469\) | −7.22988 | + | 6.06659i | −0.333845 | + | 0.280129i | ||||
\(470\) | −2.82377 | + | 1.02777i | −0.130251 | + | 0.0474074i | ||||
\(471\) | −11.5836 | − | 4.21609i | −0.533745 | − | 0.194267i | ||||
\(472\) | 0.738920 | + | 0.620028i | 0.0340116 | + | 0.0285391i | ||||
\(473\) | 0.857164 | − | 4.86122i | 0.0394124 | − | 0.223519i | ||||
\(474\) | 35.5461 | 1.63269 | ||||||||
\(475\) | 2.38634 | − | 3.64766i | 0.109493 | − | 0.167366i | ||||
\(476\) | 10.7737 | 0.493812 | ||||||||
\(477\) | −1.74602 | + | 9.90216i | −0.0799447 | + | 0.453389i | ||||
\(478\) | 12.4819 | + | 10.4735i | 0.570908 | + | 0.479049i | ||||
\(479\) | 3.42858 | + | 1.24790i | 0.156656 | + | 0.0570180i | 0.419158 | − | 0.907913i | \(-0.362325\pi\) |
−0.262502 | + | 0.964931i | \(0.584548\pi\) | |||||||
\(480\) | −2.17990 | + | 0.793418i | −0.0994983 | + | 0.0362144i | ||||
\(481\) | 10.3675 | − | 8.69938i | 0.472718 | − | 0.396657i | ||||
\(482\) | −9.62739 | − | 16.6751i | −0.438516 | − | 0.759532i | ||||
\(483\) | 15.1558 | − | 26.2506i | 0.689612 | − | 1.19444i | ||||
\(484\) | −0.503064 | − | 2.85302i | −0.0228665 | − | 0.129683i | ||||
\(485\) | 0.356724 | + | 2.02308i | 0.0161980 | + | 0.0918635i | ||||
\(486\) | 9.99534 | − | 17.3124i | 0.453398 | − | 0.785308i | ||||
\(487\) | 11.2575 | + | 19.4986i | 0.510128 | + | 0.883568i | 0.999931 | + | 0.0117346i | \(0.00373533\pi\) |
−0.489803 | + | 0.871833i | \(0.662931\pi\) | |||||||
\(488\) | 5.74499 | − | 4.82062i | 0.260063 | − | 0.218219i | ||||
\(489\) | −9.75196 | + | 3.54942i | −0.440999 | + | 0.160510i | ||||
\(490\) | 16.1386 | + | 5.87398i | 0.729069 | + | 0.265359i | ||||
\(491\) | 19.2746 | + | 16.1733i | 0.869849 | + | 0.729890i | 0.964066 | − | 0.265662i | \(-0.0855905\pi\) |
−0.0942175 | + | 0.995552i | \(0.530035\pi\) | |||||||
\(492\) | 3.76939 | − | 21.3773i | 0.169937 | − | 0.963761i | ||||
\(493\) | 16.6573 | 0.750205 | ||||||||
\(494\) | −20.8524 | − | 19.5770i | −0.938195 | − | 0.880813i | ||||
\(495\) | 6.77902 | 0.304694 | ||||||||
\(496\) | −0.940372 | + | 5.33311i | −0.0422239 | + | 0.239464i | ||||
\(497\) | 23.2215 | + | 19.4851i | 1.04163 | + | 0.874027i | ||||
\(498\) | 2.86017 | + | 1.04102i | 0.128167 | + | 0.0466490i | ||||
\(499\) | −29.8561 | + | 10.8667i | −1.33654 | + | 0.486461i | −0.908721 | − | 0.417403i | \(-0.862940\pi\) |
−0.427819 | + | 0.903864i | \(0.640718\pi\) | |||||||
\(500\) | 0.766044 | − | 0.642788i | 0.0342585 | − | 0.0287463i | ||||
\(501\) | 4.23220 | + | 7.33039i | 0.189081 | + | 0.327498i | ||||
\(502\) | −13.8850 | + | 24.0496i | −0.619719 | + | 1.07339i | ||||
\(503\) | −4.43880 | − | 25.1737i | −0.197917 | − | 1.12244i | −0.908204 | − | 0.418528i | \(-0.862546\pi\) |
0.710287 | − | 0.703912i | \(-0.248565\pi\) | |||||||
\(504\) | 2.03326 | + | 11.5312i | 0.0905685 | + | 0.513640i | ||||
\(505\) | 2.50483 | − | 4.33849i | 0.111463 | − | 0.193060i | ||||
\(506\) | −3.78245 | − | 6.55139i | −0.168150 | − | 0.291245i | ||||
\(507\) | −53.4135 | + | 44.8192i | −2.37218 | + | 1.99049i | ||||
\(508\) | −7.18822 | + | 2.61630i | −0.318926 | + | 0.116079i | ||||
\(509\) | −9.28595 | − | 3.37981i | −0.411592 | − | 0.149807i | 0.127921 | − | 0.991784i | \(-0.459170\pi\) |
−0.539513 | + | 0.841977i | \(0.681392\pi\) | |||||||
\(510\) | −3.89396 | − | 3.26742i | −0.172428 | − | 0.144684i | ||||
\(511\) | 3.39553 | − | 19.2570i | 0.150209 | − | 0.851879i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −1.42748 | + | 6.08937i | −0.0630248 | + | 0.268852i | ||||
\(514\) | −13.0703 | −0.576505 | ||||||||
\(515\) | −1.56889 | + | 8.89763i | −0.0691336 | + | 0.392076i | ||||
\(516\) | −3.08160 | − | 2.58577i | −0.135660 | − | 0.113832i | ||||
\(517\) | 8.03806 | + | 2.92562i | 0.353514 | + | 0.128668i | ||||
\(518\) | 9.52932 | − | 3.46839i | 0.418694 | − | 0.152392i | ||||
\(519\) | 2.09039 | − | 1.75404i | 0.0917578 | − | 0.0769940i | ||||
\(520\) | −3.28089 | − | 5.68268i | −0.143877 | − | 0.249202i | ||||
\(521\) | 2.14888 | − | 3.72196i | 0.0941440 | − | 0.163062i | −0.815107 | − | 0.579310i | \(-0.803322\pi\) |
0.909251 | + | 0.416248i | \(0.136655\pi\) | |||||||
\(522\) | 3.14362 | + | 17.8284i | 0.137593 | + | 0.780327i | ||||
\(523\) | 4.32437 | + | 24.5247i | 0.189092 | + | 1.07239i | 0.920585 | + | 0.390543i | \(0.127713\pi\) |
−0.731493 | + | 0.681849i | \(0.761176\pi\) | |||||||
\(524\) | 6.65739 | − | 11.5309i | 0.290829 | − | 0.503731i | ||||
\(525\) | −5.70293 | − | 9.87776i | −0.248896 | − | 0.431101i | ||||
\(526\) | −11.5336 | + | 9.67780i | −0.502887 | + | 0.421972i | ||||
\(527\) | −11.1507 | + | 4.05853i | −0.485733 | + | 0.176792i | ||||
\(528\) | 6.20524 | + | 2.25852i | 0.270048 | + | 0.0982895i | ||||
\(529\) | −12.2088 | − | 10.2444i | −0.530817 | − | 0.445408i | ||||
\(530\) | 0.733169 | − | 4.15801i | 0.0318468 | − | 0.180612i | ||||
\(531\) | −2.29714 | −0.0996876 | ||||||||
\(532\) | −9.66531 | − | 19.1284i | −0.419044 | − | 0.829320i | ||||
\(533\) | 61.4006 | 2.65955 | ||||||||
\(534\) | −4.34100 | + | 24.6191i | −0.187854 | + | 1.06537i | ||||
\(535\) | 4.57162 | + | 3.83604i | 0.197648 | + | 0.165847i | ||||
\(536\) | 1.80379 | + | 0.656525i | 0.0779118 | + | 0.0283576i | ||||
\(537\) | 9.44020 | − | 3.43595i | 0.407375 | − | 0.148272i | ||||
\(538\) | −18.7339 | + | 15.7196i | −0.807674 | + | 0.677719i | ||||
\(539\) | −24.4440 | − | 42.3383i | −1.05288 | − | 1.82364i | ||||
\(540\) | −0.717435 | + | 1.24263i | −0.0308735 | + | 0.0534744i | ||||
\(541\) | −3.80139 | − | 21.5587i | −0.163434 | − | 0.926882i | −0.950664 | − | 0.310222i | \(-0.899596\pi\) |
0.787230 | − | 0.616660i | \(-0.211515\pi\) | |||||||
\(542\) | −1.55428 | − | 8.81475i | −0.0667620 | − | 0.378626i | ||||
\(543\) | 1.58813 | − | 2.75072i | 0.0681531 | − | 0.118045i | ||||
\(544\) | −1.09561 | − | 1.89766i | −0.0469741 | − | 0.0813615i | ||||
\(545\) | −12.1265 | + | 10.1753i | −0.519440 | + | 0.435862i | ||||
\(546\) | −70.3292 | + | 25.5978i | −3.00981 | + | 1.09548i | ||||
\(547\) | −2.78367 | − | 1.01317i | −0.119021 | − | 0.0433202i | 0.281823 | − | 0.959466i | \(-0.409061\pi\) |
−0.400844 | + | 0.916146i | \(0.631283\pi\) | |||||||
\(548\) | −5.53564 | − | 4.64495i | −0.236471 | − | 0.198423i | ||||
\(549\) | −3.10135 | + | 17.5886i | −0.132362 | + | 0.750663i | ||||
\(550\) | −2.84657 | −0.121378 | ||||||||
\(551\) | −14.9435 | − | 29.5744i | −0.636617 | − | 1.25991i | ||||
\(552\) | −6.16497 | −0.262399 | ||||||||
\(553\) | −13.0825 | + | 74.1943i | −0.556322 | + | 3.15506i | ||||
\(554\) | 5.97623 | + | 5.01465i | 0.253906 | + | 0.213052i | ||||
\(555\) | −4.49609 | − | 1.63644i | −0.190848 | − | 0.0694631i | ||||
\(556\) | 2.26632 | − | 0.824874i | 0.0961135 | − | 0.0349825i | ||||
\(557\) | −23.5710 | + | 19.7784i | −0.998734 | + | 0.838038i | −0.986809 | − | 0.161891i | \(-0.948241\pi\) |
−0.0119259 | + | 0.999929i | \(0.503796\pi\) | |||||||
\(558\) | −6.44829 | − | 11.1688i | −0.272978 | − | 0.472811i | ||||
\(559\) | 5.68936 | − | 9.85426i | 0.240634 | − | 0.416791i | ||||
\(560\) | −0.853783 | − | 4.84205i | −0.0360789 | − | 0.204614i | ||||
\(561\) | 2.51264 | + | 14.2499i | 0.106084 | + | 0.601631i | ||||
\(562\) | 9.14912 | − | 15.8467i | 0.385933 | − | 0.668455i | ||||
\(563\) | 17.7546 | + | 30.7518i | 0.748266 | + | 1.29603i | 0.948653 | + | 0.316318i | \(0.102447\pi\) |
−0.200387 | + | 0.979717i | \(0.564220\pi\) | |||||||
\(564\) | 5.34008 | − | 4.48086i | 0.224858 | − | 0.188678i | ||||
\(565\) | −17.1072 | + | 6.22651i | −0.719705 | + | 0.261951i | ||||
\(566\) | 6.79213 | + | 2.47213i | 0.285494 | + | 0.103911i | ||||
\(567\) | 39.4460 | + | 33.0991i | 1.65658 | + | 1.39003i | ||||
\(568\) | 1.07060 | − | 6.07169i | 0.0449215 | − | 0.254763i | ||||
\(569\) | 33.0813 | 1.38684 | 0.693421 | − | 0.720533i | \(-0.256103\pi\) | ||||
0.693421 | + | 0.720533i | \(0.256103\pi\) | |||||||
\(570\) | −2.30786 | + | 9.84488i | −0.0966654 | + | 0.412357i | ||||
\(571\) | 2.29342 | 0.0959766 | 0.0479883 | − | 0.998848i | \(-0.484719\pi\) | ||||
0.0479883 | + | 0.998848i | \(0.484719\pi\) | |||||||
\(572\) | −3.24351 | + | 18.3948i | −0.135618 | + | 0.769127i | ||||
\(573\) | −24.2282 | − | 20.3298i | −1.01215 | − | 0.849291i | ||||
\(574\) | 43.2328 | + | 15.7355i | 1.80450 | + | 0.656785i | ||||
\(575\) | 2.49728 | − | 0.908934i | 0.104144 | − | 0.0379052i | ||||
\(576\) | 1.82431 | − | 1.53078i | 0.0760129 | − | 0.0637824i | ||||
\(577\) | 7.85178 | + | 13.5997i | 0.326874 | + | 0.566162i | 0.981890 | − | 0.189453i | \(-0.0606715\pi\) |
−0.655016 | + | 0.755615i | \(0.727338\pi\) | |||||||
\(578\) | −6.09926 | + | 10.5642i | −0.253696 | + | 0.439414i | ||||
\(579\) | 2.10255 | + | 11.9242i | 0.0873792 | + | 0.495552i | ||||
\(580\) | −1.32004 | − | 7.48630i | −0.0548115 | − | 0.310852i | ||||
\(581\) | −3.22554 | + | 5.58680i | −0.133818 | + | 0.231780i | ||||
\(582\) | −2.38277 | − | 4.12708i | −0.0987691 | − | 0.171073i | ||||
\(583\) | −9.20682 | + | 7.72544i | −0.381308 | + | 0.319955i | ||||
\(584\) | −3.73719 | + | 1.36023i | −0.154646 | + | 0.0562865i | ||||
\(585\) | 14.6843 | + | 5.34464i | 0.607121 | + | 0.220974i | ||||
\(586\) | −8.72264 | − | 7.31917i | −0.360329 | − | 0.302352i | ||||
\(587\) | −4.60359 | + | 26.1082i | −0.190010 | + | 1.07760i | 0.729337 | + | 0.684155i | \(0.239829\pi\) |
−0.919347 | + | 0.393448i | \(0.871282\pi\) | |||||||
\(588\) | −39.8411 | −1.64302 | ||||||||
\(589\) | 17.2093 | + | 16.1568i | 0.709098 | + | 0.665728i | ||||
\(590\) | 0.964592 | 0.0397116 | ||||||||
\(591\) | −1.15024 | + | 6.52335i | −0.0473146 | + | 0.268335i | ||||
\(592\) | −1.57998 | − | 1.32576i | −0.0649369 | − | 0.0544885i | ||||
\(593\) | 2.75254 | + | 1.00184i | 0.113033 | + | 0.0411408i | 0.397918 | − | 0.917421i | \(-0.369733\pi\) |
−0.284884 | + | 0.958562i | \(0.591955\pi\) | |||||||
\(594\) | 3.83813 | − | 1.39697i | 0.157481 | − | 0.0573182i | ||||
\(595\) | 8.25314 | − | 6.92521i | 0.338346 | − | 0.283906i | ||||
\(596\) | 3.48937 | + | 6.04376i | 0.142930 | + | 0.247562i | ||||
\(597\) | −1.69882 | + | 2.94244i | −0.0695281 | + | 0.120426i | ||||
\(598\) | −3.02812 | − | 17.1733i | −0.123829 | − | 0.702270i | ||||
\(599\) | 6.43428 | + | 36.4906i | 0.262897 | + | 1.49097i | 0.774956 | + | 0.632015i | \(0.217772\pi\) |
−0.512059 | + | 0.858950i | \(0.671117\pi\) | |||||||
\(600\) | −1.15990 | + | 2.00901i | −0.0473527 | + | 0.0820173i | ||||
\(601\) | 4.84799 | + | 8.39697i | 0.197754 | + | 0.342520i | 0.947800 | − | 0.318866i | \(-0.103302\pi\) |
−0.750046 | + | 0.661386i | \(0.769969\pi\) | |||||||
\(602\) | 6.53135 | − | 5.48045i | 0.266198 | − | 0.223367i | ||||
\(603\) | −4.29566 | + | 1.56349i | −0.174933 | + | 0.0636704i | ||||
\(604\) | 5.35025 | + | 1.94733i | 0.217699 | + | 0.0792358i | ||||
\(605\) | −2.21925 | − | 1.86217i | −0.0902255 | − | 0.0757082i | ||||
\(606\) | −2.01803 | + | 11.4448i | −0.0819771 | + | 0.464915i | ||||
\(607\) | −38.0294 | −1.54357 | −0.771783 | − | 0.635886i | \(-0.780635\pi\) | ||||
−0.771783 | + | 0.635886i | \(0.780635\pi\) | |||||||
\(608\) | −2.38634 | + | 3.64766i | −0.0967787 | + | 0.147932i | ||||
\(609\) | −86.7049 | −3.51346 | ||||||||
\(610\) | 1.30228 | − | 7.38561i | 0.0527279 | − | 0.299035i | ||||
\(611\) | 15.1050 | + | 12.6746i | 0.611081 | + | 0.512758i | ||||
\(612\) | 4.90364 | + | 1.78478i | 0.198218 | + | 0.0721454i | ||||
\(613\) | 21.4696 | − | 7.81429i | 0.867149 | − | 0.315616i | 0.130137 | − | 0.991496i | \(-0.458458\pi\) |
0.737012 | + | 0.675880i | \(0.236236\pi\) | |||||||
\(614\) | −3.78649 | + | 3.17725i | −0.152810 | + | 0.128223i | ||||
\(615\) | −10.8535 | − | 18.7988i | −0.437656 | − | 0.758043i | ||||
\(616\) | −6.99793 | + | 12.1208i | −0.281955 | + | 0.488360i | ||||
\(617\) | −4.41886 | − | 25.0606i | −0.177896 | − | 1.00890i | −0.934747 | − | 0.355313i | \(-0.884374\pi\) |
0.756851 | − | 0.653588i | \(-0.226737\pi\) | |||||||
\(618\) | −3.63951 | − | 20.6407i | −0.146403 | − | 0.830291i | ||||
\(619\) | −7.95778 | + | 13.7833i | −0.319850 | + | 0.553997i | −0.980457 | − | 0.196736i | \(-0.936966\pi\) |
0.660606 | + | 0.750733i | \(0.270299\pi\) | |||||||
\(620\) | 2.70769 | + | 4.68986i | 0.108744 | + | 0.188349i | ||||
\(621\) | −2.92110 | + | 2.45110i | −0.117220 | + | 0.0983591i | ||||
\(622\) | 22.6628 | − | 8.24858i | 0.908695 | − | 0.330738i | ||||
\(623\) | −49.7889 | − | 18.1217i | −1.99475 | − | 0.726030i | ||||
\(624\) | 11.6608 | + | 9.78453i | 0.466804 | + | 0.391695i | ||||
\(625\) | 0.173648 | − | 0.984808i | 0.00694593 | − | 0.0393923i | ||||
\(626\) | 30.9756 | 1.23803 | ||||||||
\(627\) | 23.0461 | − | 17.2450i | 0.920372 | − | 0.688698i | ||||
\(628\) | −5.31383 | −0.212045 | ||||||||
\(629\) | 0.784795 | − | 4.45079i | 0.0312918 | − | 0.177465i | ||||
\(630\) | 8.96967 | + | 7.52644i | 0.357360 | + | 0.299861i | ||||
\(631\) | 18.7345 | + | 6.81880i | 0.745808 | + | 0.271452i | 0.686841 | − | 0.726808i | \(-0.258997\pi\) |
0.0589675 | + | 0.998260i | \(0.481219\pi\) | |||||||
\(632\) | 14.3988 | − | 5.24075i | 0.572755 | − | 0.208466i | ||||
\(633\) | −2.32886 | + | 1.95414i | −0.0925637 | + | 0.0776702i | ||||
\(634\) | −3.45527 | − | 5.98470i | −0.137226 | − | 0.237683i | ||||
\(635\) | −3.82477 | + | 6.62470i | −0.151781 | + | 0.262893i | ||||
\(636\) | 1.70080 | + | 9.64574i | 0.0674413 | + | 0.382478i | ||||
\(637\) | −19.5692 | − | 110.982i | −0.775360 | − | 4.39728i | ||||
\(638\) | −10.8195 | + | 18.7399i | −0.428349 | + | 0.741922i | ||||
\(639\) | 7.34130 | + | 12.7155i | 0.290417 | + | 0.503018i | ||||
\(640\) | −0.766044 | + | 0.642788i | −0.0302806 | + | 0.0254084i | ||||
\(641\) | −2.28156 | + | 0.830421i | −0.0901163 | + | 0.0327996i | −0.386685 | − | 0.922212i | \(-0.626380\pi\) |
0.296569 | + | 0.955012i | \(0.404158\pi\) | |||||||
\(642\) | −13.0093 | − | 4.73498i | −0.513434 | − | 0.186875i | ||||
\(643\) | −5.12827 | − | 4.30313i | −0.202239 | − | 0.169699i | 0.536043 | − | 0.844191i | \(-0.319918\pi\) |
−0.738282 | + | 0.674492i | \(0.764363\pi\) | |||||||
\(644\) | 2.26897 | − | 12.8680i | 0.0894099 | − | 0.507069i | ||||
\(645\) | −4.02274 | −0.158395 | ||||||||
\(646\) | −9.53651 | − | 0.532031i | −0.375209 | − | 0.0209325i | ||||
\(647\) | 28.2280 | 1.10976 | 0.554878 | − | 0.831932i | \(-0.312765\pi\) | ||||
0.554878 | + | 0.831932i | \(0.312765\pi\) | |||||||
\(648\) | 1.81862 | − | 10.3139i | 0.0714421 | − | 0.405168i | ||||
\(649\) | −2.10339 | − | 1.76495i | −0.0825652 | − | 0.0692805i | ||||
\(650\) | −6.16606 | − | 2.24426i | −0.241853 | − | 0.0880273i | ||||
\(651\) | 58.0421 | − | 21.1256i | 2.27485 | − | 0.827977i | ||||
\(652\) | −3.42697 | + | 2.87557i | −0.134210 | + | 0.112616i | ||||
\(653\) | −8.49136 | − | 14.7075i | −0.332293 | − | 0.575548i | 0.650668 | − | 0.759362i | \(-0.274489\pi\) |
−0.982961 | + | 0.183814i | \(0.941156\pi\) | |||||||
\(654\) | 18.3612 | − | 31.8025i | 0.717978 | − | 1.24358i | ||||
\(655\) | −2.31209 | − | 13.1125i | −0.0903407 | − | 0.512347i | ||||
\(656\) | −1.62488 | − | 9.21513i | −0.0634408 | − | 0.359791i | ||||
\(657\) | 4.73559 | − | 8.20228i | 0.184753 | − | 0.320002i | ||||
\(658\) | 7.38739 | + | 12.7953i | 0.287990 | + | 0.498814i | ||||
\(659\) | −14.0188 | + | 11.7632i | −0.546095 | + | 0.458228i | −0.873616 | − | 0.486616i | \(-0.838231\pi\) |
0.327521 | + | 0.944844i | \(0.393787\pi\) | |||||||
\(660\) | 6.20524 | − | 2.25852i | 0.241539 | − | 0.0879128i | ||||
\(661\) | −5.11150 | − | 1.86043i | −0.198814 | − | 0.0723625i | 0.240694 | − | 0.970601i | \(-0.422625\pi\) |
−0.439508 | + | 0.898239i | \(0.644847\pi\) | |||||||
\(662\) | −3.20119 | − | 2.68612i | −0.124418 | − | 0.104399i | ||||
\(663\) | −5.79203 | + | 32.8482i | −0.224944 | + | 1.27572i | ||||
\(664\) | 1.31206 | 0.0509180 | ||||||||
\(665\) | −19.6995 | − | 8.44045i | −0.763915 | − | 0.327306i | ||||
\(666\) | 4.91183 | 0.190329 | ||||||||
\(667\) | 3.50806 | − | 19.8952i | 0.135833 | − | 0.770344i | ||||
\(668\) | 2.79512 | + | 2.34538i | 0.108146 | + | 0.0907456i | ||||
\(669\) | 61.3213 | + | 22.3191i | 2.37082 | + | 0.862907i | ||||
\(670\) | 1.80379 | − | 0.656525i | 0.0696864 | − | 0.0253638i | ||||
\(671\) | −16.3535 | + | 13.7222i | −0.631321 | + | 0.529741i | ||||
\(672\) | 5.70293 | + | 9.87776i | 0.219995 | + | 0.381043i | ||||
\(673\) | 14.9572 | − | 25.9066i | 0.576557 | − | 0.998626i | −0.419313 | − | 0.907842i | \(-0.637729\pi\) |
0.995871 | − | 0.0907847i | \(-0.0289375\pi\) | |||||||
\(674\) | −2.98695 | − | 16.9399i | −0.115053 | − | 0.652499i | ||||
\(675\) | 0.249162 | + | 1.41307i | 0.00959026 | + | 0.0543891i | ||||
\(676\) | −15.0285 | + | 26.0302i | −0.578021 | + | 1.00116i | ||||
\(677\) | 15.7282 | + | 27.2420i | 0.604483 | + | 1.04700i | 0.992133 | + | 0.125189i | \(0.0399537\pi\) |
−0.387650 | + | 0.921807i | \(0.626713\pi\) | |||||||
\(678\) | 32.3517 | − | 27.1463i | 1.24246 | − | 1.04255i | ||||
\(679\) | 9.49130 | − | 3.45455i | 0.364243 | − | 0.132573i | ||||
\(680\) | −2.05908 | − | 0.749444i | −0.0789622 | − | 0.0287399i | ||||
\(681\) | −22.4738 | − | 18.8578i | −0.861199 | − | 0.722631i | ||||
\(682\) | 2.67684 | − | 15.1811i | 0.102501 | − | 0.581314i | ||||
\(683\) | −49.8920 | −1.90906 | −0.954532 | − | 0.298109i | \(-0.903644\pi\) | ||||
−0.954532 | + | 0.298109i | \(0.903644\pi\) | |||||||
\(684\) | −1.23033 | − | 10.3074i | −0.0470430 | − | 0.394114i | ||||
\(685\) | −7.22627 | −0.276101 | ||||||||
\(686\) | 8.68670 | − | 49.2647i | 0.331660 | − | 1.88094i | ||||
\(687\) | −24.4240 | − | 20.4941i | −0.931833 | − | 0.781900i | ||||
\(688\) | −1.62951 | − | 0.593093i | −0.0621245 | − | 0.0226115i | ||||
\(689\) | −26.0341 | + | 9.47562i | −0.991818 | + | 0.360992i | ||||
\(690\) | −4.72264 | + | 3.96277i | −0.179788 | + | 0.150860i | ||||
\(691\) | −9.36370 | − | 16.2184i | −0.356212 | − | 0.616977i | 0.631113 | − | 0.775691i | \(-0.282599\pi\) |
−0.987325 | + | 0.158714i | \(0.949265\pi\) | |||||||
\(692\) | 0.588156 | − | 1.01872i | 0.0223583 | − | 0.0387258i | ||||
\(693\) | −5.78782 | − | 32.8243i | −0.219861 | − | 1.24689i | ||||
\(694\) | −3.20604 | − | 18.1823i | −0.121699 | − | 0.690192i | ||||
\(695\) | 1.20589 | − | 2.08866i | 0.0457419 | − | 0.0792272i | ||||
\(696\) | 8.81731 | + | 15.2720i | 0.334219 | + | 0.578885i | ||||
\(697\) | 15.7069 | − | 13.1797i | 0.594943 | − | 0.499217i | ||||
\(698\) | 23.2488 | − | 8.46187i | 0.879980 | − | 0.320286i | ||||
\(699\) | 53.6650 | + | 19.5325i | 2.02980 | + | 0.738786i | ||||
\(700\) | −3.76644 | − | 3.16042i | −0.142358 | − | 0.119453i | ||||
\(701\) | −3.10915 | + | 17.6329i | −0.117431 | + | 0.665984i | 0.868087 | + | 0.496412i | \(0.165350\pi\) |
−0.985518 | + | 0.169572i | \(0.945761\pi\) | |||||||
\(702\) | 9.41531 | 0.355358 | ||||||||
\(703\) | −8.60630 | + | 2.59952i | −0.324593 | + | 0.0980426i | ||||
\(704\) | 2.84657 | 0.107284 | ||||||||
\(705\) | 1.21050 | − | 6.86508i | 0.0455900 | − | 0.258554i | ||||
\(706\) | 4.91028 | + | 4.12021i | 0.184801 | + | 0.155066i | ||||
\(707\) | −23.1458 | − | 8.42437i | −0.870486 | − | 0.316831i | ||||
\(708\) | −2.10271 | + | 0.765324i | −0.0790247 | + | 0.0287627i | ||||
\(709\) | 20.6673 | − | 17.3419i | 0.776177 | − | 0.651290i | −0.166106 | − | 0.986108i | \(-0.553119\pi\) |
0.942283 | + | 0.334818i | \(0.108675\pi\) | |||||||
\(710\) | −3.08268 | − | 5.33936i | −0.115691 | − | 0.200382i | ||||
\(711\) | −18.2455 | + | 31.6022i | −0.684260 | + | 1.18517i | ||||
\(712\) | 1.87128 | + | 10.6126i | 0.0701293 | + | 0.397723i | ||||
\(713\) | 2.49908 | + | 14.1730i | 0.0935913 | + | 0.530783i | ||||
\(714\) | −12.4964 | + | 21.6444i | −0.467667 | + | 0.810023i | ||||
\(715\) | 9.33930 | + | 16.1761i | 0.349270 | + | 0.604953i | ||||
\(716\) | 3.31741 | − | 2.78364i | 0.123977 | − | 0.104029i | ||||
\(717\) | −35.5192 | + | 12.9279i | −1.32649 | + | 0.482802i | ||||
\(718\) | −34.5952 | − | 12.5916i | −1.29108 | − | 0.469915i | ||||
\(719\) | 32.4936 | + | 27.2653i | 1.21180 | + | 1.01683i | 0.999212 | + | 0.0396842i | \(0.0126352\pi\) |
0.212593 | + | 0.977141i | \(0.431809\pi\) | |||||||
\(720\) | 0.413538 | − | 2.34529i | 0.0154116 | − | 0.0874037i | ||||
\(721\) | 44.4222 | 1.65437 | ||||||||
\(722\) | 7.61079 | + | 17.4091i | 0.283244 | + | 0.647899i | ||||
\(723\) | 44.6672 | 1.66119 | ||||||||
\(724\) | 0.237758 | − | 1.34839i | 0.00883622 | − | 0.0501127i | ||||
\(725\) | −5.82331 | − | 4.88633i | −0.216272 | − | 0.181474i | ||||
\(726\) | 6.31523 | + | 2.29856i | 0.234380 | + | 0.0853074i | ||||
\(727\) | 40.4476 | − | 14.7217i | 1.50012 | − | 0.545999i | 0.544028 | − | 0.839067i | \(-0.316898\pi\) |
0.956092 | + | 0.293068i | \(0.0946761\pi\) | |||||||
\(728\) | −24.7146 | + | 20.7380i | −0.915984 | + | 0.768602i | ||||
\(729\) | 7.47766 | + | 12.9517i | 0.276950 | + | 0.479692i | ||||
\(730\) | −1.98852 | + | 3.44421i | −0.0735983 | + | 0.127476i | ||||
\(731\) | −0.659826 | − | 3.74206i | −0.0244045 | − | 0.138405i | ||||
\(732\) | 3.02104 | + | 17.1331i | 0.111661 | + | 0.633259i | ||||
\(733\) | 15.1979 | − | 26.3235i | 0.561347 | − | 0.972282i | −0.436032 | − | 0.899931i | \(-0.643617\pi\) |
0.997379 | − | 0.0723507i | \(-0.0230501\pi\) | |||||||
\(734\) | 7.31190 | + | 12.6646i | 0.269887 | + | 0.467458i | ||||
\(735\) | −30.5200 | + | 25.6093i | −1.12575 | + | 0.944615i | ||||
\(736\) | −2.49728 | + | 0.908934i | −0.0920508 | + | 0.0335038i | ||||
\(737\) | −5.13461 | − | 1.86885i | −0.189136 | − | 0.0688398i | ||||
\(738\) | 17.0706 | + | 14.3239i | 0.628378 | + | 0.527272i | ||||
\(739\) | −6.40630 | + | 36.3319i | −0.235659 | + | 1.33649i | 0.605561 | + | 0.795799i | \(0.292949\pi\) |
−0.841221 | + | 0.540692i | \(0.818162\pi\) | |||||||
\(740\) | −2.06252 | −0.0758198 | ||||||||
\(741\) | 63.5171 | − | 19.1852i | 2.33336 | − | 0.704787i | ||||
\(742\) | −20.7592 | −0.762095 | ||||||||
\(743\) | 4.26670 | − | 24.1976i | 0.156530 | − | 0.887725i | −0.800844 | − | 0.598873i | \(-0.795615\pi\) |
0.957374 | − | 0.288852i | \(-0.0932736\pi\) | |||||||
\(744\) | −9.62352 | − | 8.07509i | −0.352815 | − | 0.296047i | ||||
\(745\) | 6.55786 | + | 2.38687i | 0.240262 | + | 0.0874480i | ||||
\(746\) | −12.7398 | + | 4.63691i | −0.466438 | + | 0.169769i | ||||
\(747\) | −2.39361 | + | 2.00848i | −0.0875778 | + | 0.0734865i | ||||
\(748\) | 3.11874 | + | 5.40182i | 0.114033 | + | 0.197510i | ||||
\(749\) | 14.6711 | − | 25.4112i | 0.536072 | − | 0.928503i | ||||
\(750\) | 0.402829 | + | 2.28456i | 0.0147092 | + | 0.0834202i | ||||
\(751\) | 1.64514 | + | 9.33008i | 0.0600322 | + | 0.340459i | 1.00000 | 0.000804564i | \(-0.000256101\pi\) | |
−0.939967 | + | 0.341264i | \(0.889145\pi\) | |||||||
\(752\) | 1.50250 | − | 2.60240i | 0.0547904 | − | 0.0948998i | ||||
\(753\) | −32.2105 | − | 55.7902i | −1.17382 | − | 2.03311i | ||||
\(754\) | −38.2113 | + | 32.0631i | −1.39157 | + | 1.16767i | ||||
\(755\) | 5.35025 | − | 1.94733i | 0.194716 | − | 0.0708707i | ||||
\(756\) | 6.62942 | + | 2.41291i | 0.241110 | + | 0.0877568i | ||||
\(757\) | −5.41985 | − | 4.54780i | −0.196988 | − | 0.165292i | 0.538958 | − | 0.842332i | \(-0.318818\pi\) |
−0.735946 | + | 0.677040i | \(0.763262\pi\) | |||||||
\(758\) | −5.25979 | + | 29.8298i | −0.191044 | + | 1.08347i | ||||
\(759\) | 17.5490 | 0.636990 | ||||||||
\(760\) | 0.516628 | + | 4.32817i | 0.0187401 | + | 0.156999i | ||||
\(761\) | −45.9880 | −1.66706 | −0.833531 | − | 0.552472i | \(-0.813684\pi\) | ||||
−0.833531 | + | 0.552472i | \(0.813684\pi\) | |||||||
\(762\) | 3.08146 | − | 17.4758i | 0.111629 | − | 0.633082i | ||||
\(763\) | 59.6227 | + | 50.0293i | 2.15849 | + | 1.81118i | ||||
\(764\) | −12.8116 | − | 4.66302i | −0.463506 | − | 0.168702i | ||||
\(765\) | 4.90364 | − | 1.78478i | 0.177291 | − | 0.0645288i | ||||
\(766\) | 21.9571 | − | 18.4242i | 0.793342 | − | 0.665693i | ||||
\(767\) | −3.16472 | − | 5.48146i | −0.114272 | − | 0.197924i | ||||
\(768\) | 1.15990 | − | 2.00901i | 0.0418543 | − | 0.0724937i | ||||
\(769\) | −7.83899 | − | 44.4571i | −0.282681 | − | 1.60317i | −0.713452 | − | 0.700704i | \(-0.752869\pi\) |
0.430771 | − | 0.902461i | \(-0.358242\pi\) | |||||||
\(770\) | 2.43036 | + | 13.7832i | 0.0875839 | + | 0.496713i | ||||
\(771\) | 15.1602 | − | 26.2582i | 0.545981 | − | 0.945667i | ||||
\(772\) | 2.60974 | + | 4.52019i | 0.0939264 | + | 0.162685i | ||||
\(773\) | −0.590996 | + | 0.495905i | −0.0212567 | + | 0.0178364i | −0.653354 | − | 0.757052i | \(-0.726639\pi\) |
0.632097 | + | 0.774889i | \(0.282194\pi\) | |||||||
\(774\) | 3.88063 | − | 1.41243i | 0.139486 | − | 0.0507689i | ||||
\(775\) | 5.08880 | + | 1.85217i | 0.182795 | + | 0.0665320i | ||||
\(776\) | −1.57368 | − | 1.32047i | −0.0564918 | − | 0.0474022i | ||||
\(777\) | −4.08504 | + | 23.1674i | −0.146550 | + | 0.831127i | ||||
\(778\) | −17.1263 | −0.614007 | ||||||||
\(779\) | −37.4911 | − | 16.0634i | −1.34326 | − | 0.575532i | ||||
\(780\) | 15.2220 | 0.545036 | ||||||||
\(781\) | −3.04755 | + | 17.2835i | −0.109050 | + | 0.618452i | ||||
\(782\) | −4.46090 | − | 3.74314i | −0.159521 | − | 0.133854i | ||||
\(783\) | 10.2498 | + | 3.73061i | 0.366297 | + | 0.133321i | ||||
\(784\) | −16.1386 | + | 5.87398i | −0.576379 | + | 0.209785i | ||||
\(785\) | −4.07063 | + | 3.41567i | −0.145287 | + | 0.121910i | ||||
\(786\) | 15.4438 | + | 26.7494i | 0.550862 | + | 0.954121i | ||||
\(787\) | 6.76358 | − | 11.7149i | 0.241095 | − | 0.417590i | −0.719931 | − | 0.694045i | \(-0.755827\pi\) |
0.961027 | + | 0.276456i | \(0.0891600\pi\) | |||||||
\(788\) | 0.495837 | + | 2.81203i | 0.0176635 | + | 0.100174i | ||||
\(789\) | −6.06499 | − | 34.3963i | −0.215919 | − | 1.22454i | ||||
\(790\) | 7.66146 | − | 13.2700i | 0.272582 | − | 0.472127i | ||||
\(791\) | 44.7549 | + | 77.5178i | 1.59130 | + | 2.75621i | ||||
\(792\) | −5.19303 | + | 4.35747i | −0.184526 | + | 0.154836i | ||||
\(793\) | −46.2427 | + | 16.8310i | −1.64213 | + | 0.597685i | ||||
\(794\) | 24.5306 | + | 8.92842i | 0.870560 | + | 0.316858i | ||||
\(795\) | 7.50305 | + | 6.29581i | 0.266106 | + | 0.223289i | ||||
\(796\) | −0.254330 | + | 1.44238i | −0.00901448 | + | 0.0511237i | ||||
\(797\) | −33.8026 | −1.19735 | −0.598674 | − | 0.800992i | \(-0.704306\pi\) | ||||
−0.598674 | + | 0.800992i | \(0.704306\pi\) | |||||||
\(798\) | 49.6398 | + | 2.76935i | 1.75723 | + | 0.0980338i | ||||
\(799\) | 6.58463 | 0.232947 | ||||||||
\(800\) | −0.173648 | + | 0.984808i | −0.00613939 | + | 0.0348182i | ||||
\(801\) | −19.6593 | − | 16.4961i | −0.694628 | − | 0.582862i | ||||
\(802\) | −8.74942 | − | 3.18453i | −0.308953 | − | 0.112450i | ||||
\(803\) | 10.6382 | − | 3.87198i | 0.375413 | − | 0.136639i | ||||
\(804\) | −3.41117 | + | 2.86232i | −0.120303 | + | 0.100946i | ||||
\(805\) | −6.53324 | − | 11.3159i | −0.230266 | − | 0.398833i | ||||
\(806\) | 17.7673 | − | 30.7739i | 0.625827 | − | 1.08396i | ||||
\(807\) | −9.85131 | − | 55.8695i | −0.346782 | − | 1.96670i | ||||
\(808\) | 0.869918 | + | 4.93355i | 0.0306036 | + | 0.173562i | ||||
\(809\) | 6.45477 | − | 11.1800i | 0.226938 | − | 0.393068i | −0.729961 | − | 0.683488i | \(-0.760462\pi\) |
0.956899 | + | 0.290421i | \(0.0937953\pi\) | |||||||
\(810\) | −5.23651 | − | 9.06990i | −0.183992 | − | 0.318684i | ||||
\(811\) | 42.3134 | − | 35.5052i | 1.48582 | − | 1.24675i | 0.586143 | − | 0.810208i | \(-0.300646\pi\) |
0.899681 | − | 0.436547i | \(-0.143799\pi\) | |||||||
\(812\) | −35.1220 | + | 12.7834i | −1.23254 | + | 0.448608i | ||||
\(813\) | 19.5117 | + | 7.10168i | 0.684305 | + | 0.249067i | ||||
\(814\) | 4.49753 | + | 3.77388i | 0.157638 | + | 0.132274i | ||||
\(815\) | −0.776830 | + | 4.40562i | −0.0272112 | + | 0.154322i | ||||
\(816\) | 5.08321 | 0.177948 | ||||||||
\(817\) | −6.05196 | + | 4.52857i | −0.211731 | + | 0.158435i | ||||
\(818\) | −14.5798 | −0.509771 | ||||||||
\(819\) | 13.3418 | − | 75.6652i | 0.466201 | − | 2.64396i | ||||
\(820\) | −7.16810 | − | 6.01475i | −0.250321 | − | 0.210044i | ||||
\(821\) | −48.4375 | − | 17.6298i | −1.69048 | − | 0.615285i | −0.695796 | − | 0.718240i | \(-0.744948\pi\) |
−0.994686 | + | 0.102955i | \(0.967170\pi\) | |||||||
\(822\) | 15.7525 | − | 5.73345i | 0.549432 | − | 0.199977i | ||||
\(823\) | −20.5172 | + | 17.2160i | −0.715186 | + | 0.600112i | −0.926049 | − | 0.377403i | \(-0.876817\pi\) |
0.210863 | + | 0.977516i | \(0.432373\pi\) | |||||||
\(824\) | −4.51744 | − | 7.82444i | −0.157373 | − | 0.272577i | ||||
\(825\) | 3.30174 | − | 5.71878i | 0.114952 | − | 0.199102i | ||||
\(826\) | −0.823552 | − | 4.67060i | −0.0286551 | − | 0.162511i | ||||
\(827\) | −0.785414 | − | 4.45430i | −0.0273115 | − | 0.154891i | 0.968102 | − | 0.250556i | \(-0.0806134\pi\) |
−0.995414 | + | 0.0956647i | \(0.969502\pi\) | |||||||
\(828\) | 3.16443 | − | 5.48096i | 0.109972 | − | 0.190476i | ||||
\(829\) | 6.55868 | + | 11.3600i | 0.227792 | + | 0.394548i | 0.957154 | − | 0.289581i | \(-0.0935160\pi\) |
−0.729361 | + | 0.684129i | \(0.760183\pi\) | |||||||
\(830\) | 1.00510 | − | 0.843379i | 0.0348875 | − | 0.0292741i | ||||
\(831\) | −17.0063 | + | 6.18978i | −0.589941 | + | 0.214721i | ||||
\(832\) | 6.16606 | + | 2.24426i | 0.213770 | + | 0.0778059i | ||||
\(833\) | −28.8285 | − | 24.1900i | −0.998849 | − | 0.838134i | ||||
\(834\) | −0.971531 | + | 5.50983i | −0.0336414 | + | 0.190790i | ||||
\(835\) | 3.64877 | 0.126271 | ||||||||
\(836\) | 6.79288 | − | 10.3833i | 0.234937 | − | 0.359114i | ||||
\(837\) | −7.77037 | −0.268583 | ||||||||
\(838\) | −2.53472 | + | 14.3751i | −0.0875604 | + | 0.496580i | ||||
\(839\) | −19.2974 | − | 16.1924i | −0.666220 | − | 0.559025i | 0.245724 | − | 0.969340i | \(-0.420974\pi\) |
−0.911944 | + | 0.410315i | \(0.865419\pi\) | |||||||
\(840\) | 10.7180 | + | 3.90103i | 0.369806 | + | 0.134598i | ||||
\(841\) | −27.0511 | + | 9.84578i | −0.932796 | + | 0.339510i | ||||
\(842\) | 30.0605 | − | 25.2237i | 1.03595 | − | 0.869267i | ||||
\(843\) | 21.2241 | + | 36.7613i | 0.730998 | + | 1.26613i | ||||
\(844\) | −0.655252 | + | 1.13493i | −0.0225547 | + | 0.0390659i | ||||
\(845\) | 5.21936 | + | 29.6004i | 0.179551 | + | 1.01829i | ||||
\(846\) | 1.24268 | + | 7.04758i | 0.0427241 | + | 0.242301i | ||||
\(847\) | −7.12197 | + | 12.3356i | −0.244714 | + | 0.423857i | ||||
\(848\) | 2.11108 | + | 3.65649i | 0.0724946 | + | 0.125564i | ||||
\(849\) | −12.8447 | + | 10.7780i | −0.440829 | + | 0.369900i | ||||
\(850\) | −2.05908 | + | 0.749444i | −0.0706259 | + | 0.0257057i | ||||
\(851\) | −5.15068 | − | 1.87470i | −0.176563 | − | 0.0642638i | ||||
\(852\) | 10.9563 | + | 9.19340i | 0.375356 | + | 0.314961i | ||||
\(853\) | −5.90914 | + | 33.5124i | −0.202325 | + | 1.14744i | 0.699269 | + | 0.714859i | \(0.253509\pi\) |
−0.901594 | + | 0.432583i | \(0.857602\pi\) | |||||||
\(854\) | −36.8734 | −1.26178 | ||||||||
\(855\) | −7.56797 | − | 7.10509i | −0.258819 | − | 0.242989i | ||||
\(856\) | −5.96783 | −0.203976 | ||||||||
\(857\) | −0.187890 | + | 1.06558i | −0.00641819 | + | 0.0363994i | −0.987849 | − | 0.155419i | \(-0.950327\pi\) |
0.981430 | + | 0.191818i | \(0.0614384\pi\) | |||||||
\(858\) | −33.1932 | − | 27.8524i | −1.13320 | − | 0.950864i | ||||
\(859\) | −32.0734 | − | 11.6737i | −1.09433 | − | 0.398303i | −0.269106 | − | 0.963111i | \(-0.586728\pi\) |
−0.825223 | + | 0.564807i | \(0.808950\pi\) | |||||||
\(860\) | −1.62951 | + | 0.593093i | −0.0555658 | + | 0.0202243i | ||||
\(861\) | −81.7583 | + | 68.6034i | −2.78632 | + | 2.33800i | ||||
\(862\) | 10.9383 | + | 18.9457i | 0.372561 | + | 0.645294i | ||||
\(863\) | 17.1608 | − | 29.7233i | 0.584160 | − | 1.01179i | −0.410820 | − | 0.911716i | \(-0.634758\pi\) |
0.994980 | − | 0.100078i | \(-0.0319091\pi\) | |||||||
\(864\) | −0.249162 | − | 1.41307i | −0.00847668 | − | 0.0480736i | ||||
\(865\) | −0.204264 | − | 1.15844i | −0.00694520 | − | 0.0393882i | ||||
\(866\) | −0.550842 | + | 0.954087i | −0.0187184 | + | 0.0324212i | ||||
\(867\) | −14.1491 | − | 24.5069i | −0.480527 | − | 0.832297i | ||||
\(868\) | 20.3967 | − | 17.1149i | 0.692311 | − | 0.580918i | ||||
\(869\) | −40.9873 | + | 14.9182i | −1.39040 | + | 0.506064i | ||||
\(870\) | 16.5711 | + | 6.03139i | 0.561814 | + | 0.204483i | ||||
\(871\) | −9.64886 | − | 8.09635i | −0.326939 | − | 0.274334i | ||||
\(872\) | 2.74884 | − | 15.5895i | 0.0930876 | − | 0.527926i | ||||
\(873\) | 4.89223 | 0.165577 | ||||||||
\(874\) | −2.64386 | + | 11.2782i | −0.0894300 | + | 0.381492i | ||||
\(875\) | −4.91674 | −0.166216 | ||||||||
\(876\) | 1.60206 | − | 9.08576i | 0.0541287 | − | 0.306979i | ||||
\(877\) | 1.21443 | + | 1.01903i | 0.0410084 | + | 0.0344102i | 0.663062 | − | 0.748565i | \(-0.269257\pi\) |
−0.622053 | + | 0.782975i | \(0.713701\pi\) | |||||||
\(878\) | −3.96284 | − | 1.44236i | −0.133740 | − | 0.0486772i | ||||
\(879\) | 24.8216 | − | 9.03434i | 0.837213 | − | 0.304721i | ||||
\(880\) | 2.18060 | − | 1.82974i | 0.0735080 | − | 0.0616806i | ||||
\(881\) | 8.41502 | + | 14.5752i | 0.283509 | + | 0.491052i | 0.972247 | − | 0.233959i | \(-0.0751680\pi\) |
−0.688737 | + | 0.725011i | \(0.741835\pi\) | |||||||
\(882\) | 20.4501 | − | 35.4206i | 0.688591 | − | 1.19267i | ||||
\(883\) | −8.30743 | − | 47.1138i | −0.279567 | − | 1.58550i | −0.724070 | − | 0.689727i | \(-0.757731\pi\) |
0.444503 | − | 0.895778i | \(-0.353380\pi\) | |||||||
\(884\) | 2.49678 | + | 14.1599i | 0.0839758 | + | 0.476250i | ||||
\(885\) | −1.11883 | + | 1.93787i | −0.0376090 | + | 0.0651408i | ||||
\(886\) | 3.79155 | + | 6.56715i | 0.127380 | + | 0.220628i | ||||
\(887\) | 23.6487 | − | 19.8436i | 0.794045 | − | 0.666283i | −0.152698 | − | 0.988273i | \(-0.548796\pi\) |
0.946743 | + | 0.321990i | \(0.104352\pi\) | |||||||
\(888\) | 4.49609 | − | 1.63644i | 0.150879 | − | 0.0549154i | ||||
\(889\) | 35.3426 | + | 12.8637i | 1.18535 | + | 0.431433i | ||||
\(890\) | 8.25512 | + | 6.92687i | 0.276712 | + | 0.232189i | ||||
\(891\) | −5.17683 | + | 29.3593i | −0.173430 | + | 0.983573i | ||||
\(892\) | 28.1303 | 0.941874 | ||||||||
\(893\) | −5.90720 | − | 11.6908i | −0.197677 | − | 0.391218i | ||||
\(894\) | −16.1893 | −0.541450 | ||||||||
\(895\) | 0.751996 | − | 4.26478i | 0.0251364 | − | 0.142556i | ||||
\(896\) | 3.76644 | + | 3.16042i | 0.125828 | + | 0.105582i | ||||
\(897\) | 38.0136 | + | 13.8358i | 1.26924 | + | 0.461965i | ||||
\(898\) | 27.9065 | − | 10.1571i | 0.931252 | − | 0.338948i | ||||
\(899\) | 31.5354 | − | 26.4614i | 1.05177 | − | 0.882537i | ||||
\(900\) | −1.19073 | − | 2.06241i | −0.0396911 | − | 0.0687471i | ||||
\(901\) | −4.62585 | + | 8.01220i | −0.154109 | + | 0.266925i | ||||
\(902\) | 4.62533 | + | 26.2315i | 0.154007 | + | 0.873415i | ||||
\(903\) | 3.43455 | + | 19.4783i | 0.114295 | + | 0.648197i | ||||
\(904\) | 9.10255 | − | 15.7661i | 0.302746 | − | 0.524372i | ||||
\(905\) | −0.684598 | − | 1.18576i | −0.0227568 | − | 0.0394159i | ||||
\(906\) | −10.1180 | + | 8.48997i | −0.336146 | + | 0.282060i | ||||
\(907\) | 21.3569 | − | 7.77328i | 0.709145 | − | 0.258108i | 0.0378346 | − | 0.999284i | \(-0.487954\pi\) |
0.671310 | + | 0.741176i | \(0.265732\pi\) | |||||||
\(908\) | −11.8839 | − | 4.32538i | −0.394380 | − | 0.143543i | ||||
\(909\) | −9.13917 | − | 7.66868i | −0.303127 | − | 0.254354i | ||||
\(910\) | −5.60235 | + | 31.7725i | −0.185716 | + | 1.05325i | ||||
\(911\) | −58.5516 | −1.93990 | −0.969950 | − | 0.243305i | \(-0.921768\pi\) | ||||
−0.969950 | + | 0.243305i | \(0.921768\pi\) | |||||||
\(912\) | −4.56025 | − | 9.02508i | −0.151005 | − | 0.298850i | ||||
\(913\) | −3.73489 | −0.123607 | ||||||||
\(914\) | −1.58467 | + | 8.98712i | −0.0524163 | + | 0.297267i | ||||
\(915\) | 13.3272 | + | 11.1829i | 0.440584 | + | 0.369694i | ||||
\(916\) | −12.9151 | − | 4.70071i | −0.426727 | − | 0.155316i | ||||
\(917\) | −61.5173 | + | 22.3905i | −2.03148 | + | 0.739398i | ||||
\(918\) | 2.40854 | − | 2.02101i | 0.0794937 | − | 0.0667031i | ||||
\(919\) | −4.56100 | − | 7.89988i | −0.150454 | − | 0.260593i | 0.780941 | − | 0.624605i | \(-0.214740\pi\) |
−0.931394 | + | 0.364012i | \(0.881407\pi\) | |||||||
\(920\) | −1.32877 | + | 2.30150i | −0.0438083 | + | 0.0758783i | ||||
\(921\) | −1.99115 | − | 11.2924i | −0.0656106 | − | 0.372096i | ||||
\(922\) | 4.58180 | + | 25.9847i | 0.150894 | + | 0.855760i | ||||
\(923\) | −20.2279 | + | 35.0357i | −0.665809 | + | 1.15322i | ||||
\(924\) | −16.2338 | − | 28.1178i | −0.534053 | − | 0.925006i | ||||
\(925\) | −1.57998 | + | 1.32576i | −0.0519495 | + | 0.0435908i | ||||
\(926\) | −14.7737 | + | 5.37720i | −0.485495 | + | 0.176706i | ||||
\(927\) | 20.2187 | + | 7.35901i | 0.664069 | + | 0.241701i | ||||
\(928\) | 5.82331 | + | 4.88633i | 0.191159 | + | 0.160402i | ||||
\(929\) | 9.58024 | − | 54.3323i | 0.314318 | − | 1.78258i | −0.261703 | − | 0.965148i | \(-0.584284\pi\) |
0.576021 | − | 0.817435i | \(-0.304605\pi\) | |||||||
\(930\) | −12.5626 | −0.411944 | ||||||||
\(931\) | −17.0859 | + | 72.8854i | −0.559969 | + | 2.38872i | ||||
\(932\) | 24.6181 | 0.806394 | ||||||||
\(933\) | −9.71512 | + | 55.0972i | −0.318059 | + | 1.80380i | ||||
\(934\) | 5.28519 | + | 4.43480i | 0.172937 | + | 0.145111i | ||||
\(935\) | 5.86132 | + | 2.13335i | 0.191686 | + | 0.0697679i | ||||
\(936\) | −14.6843 | + | 5.34464i | −0.479971 | + | 0.174695i | ||||
\(937\) | 35.4722 | − | 29.7647i | 1.15883 | − | 0.972370i | 0.158937 | − | 0.987289i | \(-0.449193\pi\) |
0.999889 | + | 0.0149184i | \(0.00474886\pi\) | |||||||
\(938\) | −4.71897 | − | 8.17349i | −0.154080 | − | 0.266874i | ||||
\(939\) | −35.9286 | + | 62.2301i | −1.17248 | + | 2.03080i | ||||
\(940\) | −0.521812 | − | 2.95934i | −0.0170196 | − | 0.0965230i | ||||
\(941\) | −3.80849 | − | 21.5990i | −0.124153 | − | 0.704107i | −0.981807 | − | 0.189880i | \(-0.939190\pi\) |
0.857654 | − | 0.514227i | \(-0.171921\pi\) | |||||||
\(942\) | 6.16351 | − | 10.6755i | 0.200818 | − | 0.347827i | ||||
\(943\) | −12.4337 | − | 21.5358i | −0.404898 | − | 0.701303i | ||||
\(944\) | −0.738920 | + | 0.620028i | −0.0240498 | + | 0.0201802i | ||||
\(945\) | 6.62942 | − | 2.41291i | 0.215655 | − | 0.0784920i | ||||
\(946\) | 4.63852 | + | 1.68828i | 0.150811 | + | 0.0548908i | ||||
\(947\) | 11.2050 | + | 9.40207i | 0.364112 | + | 0.305526i | 0.806427 | − | 0.591333i | \(-0.201398\pi\) |
−0.442315 | + | 0.896860i | \(0.645843\pi\) | |||||||
\(948\) | −6.17251 | + | 35.0061i | −0.200474 | + | 1.13694i | ||||
\(949\) | 26.0965 | 0.847127 | ||||||||
\(950\) | 3.17786 | + | 2.98349i | 0.103103 | + | 0.0967973i | ||||
\(951\) | 16.0310 | 0.519842 | ||||||||
\(952\) | −1.87083 | + | 10.6100i | −0.0606341 | + | 0.343873i | ||||
\(953\) | 5.48071 | + | 4.59886i | 0.177538 | + | 0.148972i | 0.727226 | − | 0.686398i | \(-0.240809\pi\) |
−0.549688 | + | 0.835370i | \(0.685254\pi\) | |||||||
\(954\) | −9.44853 | − | 3.43898i | −0.305908 | − | 0.111341i | ||||
\(955\) | −12.8116 | + | 4.66302i | −0.414572 | + | 0.150892i | ||||
\(956\) | −12.4819 | + | 10.4735i | −0.403693 | + | 0.338739i | ||||
\(957\) | −25.0991 | − | 43.4729i | −0.811339 | − | 1.40528i | ||||
\(958\) | −1.82431 | + | 3.15979i | −0.0589407 | + | 0.102088i | ||||
\(959\) | 6.16967 | + | 34.9899i | 0.199229 | + | 1.12988i | ||||
\(960\) | −0.402829 | − | 2.28456i | −0.0130012 | − | 0.0737337i | ||||
\(961\) | 0.836797 | − | 1.44938i | 0.0269935 | − | 0.0467540i | ||||
\(962\) | 6.76691 | + | 11.7206i | 0.218174 | + | 0.377889i | ||||
\(963\) | 10.8872 | − | 9.13542i | 0.350834 | − | 0.294385i | ||||
\(964\) | 18.0936 | − | 6.58553i | 0.582755 | − | 0.212105i | ||||
\(965\) | 4.90470 | + | 1.78516i | 0.157888 | + | 0.0574665i | ||||
\(966\) | 23.2200 | + | 19.4839i | 0.747092 | + | 0.626885i | ||||
\(967\) | −1.87290 | + | 10.6217i | −0.0602283 | + | 0.341572i | −1.00000 | 0.000231267i | \(-0.999926\pi\) | |
0.939772 | + | 0.341803i | \(0.111037\pi\) | |||||||
\(968\) | 2.89703 | 0.0931141 | ||||||||
\(969\) | 12.1303 | − | 18.5418i | 0.389680 | − | 0.595649i | ||||
\(970\) | −2.05429 | −0.0659594 | ||||||||
\(971\) | −9.79260 | + | 55.5366i | −0.314260 | + | 1.78225i | 0.262082 | + | 0.965046i | \(0.415591\pi\) |
−0.576341 | + | 0.817209i | \(0.695520\pi\) | |||||||
\(972\) | 15.3138 | + | 12.8498i | 0.491189 | + | 0.412156i | ||||
\(973\) | −11.1429 | − | 4.05570i | −0.357226 | − | 0.130020i | ||||
\(974\) | −21.1573 | + | 7.70061i | −0.677922 | + | 0.246744i | ||||
\(975\) | 11.6608 | − | 9.78453i | 0.373443 | − | 0.313356i | ||||
\(976\) | 3.74977 | + | 6.49480i | 0.120027 | + | 0.207893i | ||||
\(977\) | −8.86235 | + | 15.3500i | −0.283532 | + | 0.491091i | −0.972252 | − | 0.233936i | \(-0.924839\pi\) |
0.688720 | + | 0.725027i | \(0.258173\pi\) | |||||||
\(978\) | −1.80209 | − | 10.2202i | −0.0576245 | − | 0.326805i | ||||
\(979\) | −5.32674 | − | 30.2095i | −0.170243 | − | 0.965499i | ||||
\(980\) | −8.58718 | + | 14.8734i | −0.274307 | + | 0.475114i | ||||
\(981\) | 18.8493 | + | 32.6479i | 0.601811 | + | 1.04237i | ||||
\(982\) | −19.2746 | + | 16.1733i | −0.615076 | + | 0.516110i | ||||
\(983\) | 26.6978 | − | 9.71721i | 0.851528 | − | 0.309931i | 0.120865 | − | 0.992669i | \(-0.461433\pi\) |
0.730663 | + | 0.682738i | \(0.239211\pi\) | |||||||
\(984\) | 20.3979 | + | 7.42424i | 0.650263 | + | 0.236676i | ||||
\(985\) | 2.18737 | + | 1.83542i | 0.0696955 | + | 0.0584814i | ||||
\(986\) | −2.89250 | + | 16.4042i | −0.0921160 | + | 0.522416i | ||||
\(987\) | −34.2745 | −1.09097 | ||||||||
\(988\) | 22.9006 | − | 17.1361i | 0.728565 | − | 0.545172i | ||||
\(989\) | −4.60842 | −0.146539 | ||||||||
\(990\) | −1.17716 | + | 6.67603i | −0.0374127 | + | 0.212178i | ||||
\(991\) | −17.7636 | − | 14.9054i | −0.564279 | − | 0.473487i | 0.315463 | − | 0.948938i | \(-0.397840\pi\) |
−0.879742 | + | 0.475451i | \(0.842285\pi\) | |||||||
\(992\) | −5.08880 | − | 1.85217i | −0.161570 | − | 0.0588065i | ||||
\(993\) | 9.10948 | − | 3.31558i | 0.289081 | − | 0.105217i | ||||
\(994\) | −23.2215 | + | 19.4851i | −0.736540 | + | 0.618031i | ||||
\(995\) | 0.732314 | + | 1.26840i | 0.0232159 | + | 0.0402111i | ||||
\(996\) | −1.52186 | + | 2.63595i | −0.0482221 | + | 0.0835231i | ||||
\(997\) | 5.29489 | + | 30.0288i | 0.167691 | + | 0.951022i | 0.946246 | + | 0.323447i | \(0.104842\pi\) |
−0.778555 | + | 0.627576i | \(0.784047\pi\) | |||||||
\(998\) | −5.51718 | − | 31.2895i | −0.174643 | − | 0.990451i | ||||
\(999\) | 1.47972 | − | 2.56296i | 0.0468164 | − | 0.0810884i |
(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 | 190.2.k.d.131.1 | ✓ | 18 | |
5.2 | odd | 4 | 950.2.u.g.549.1 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.549.6 | 36 | |||
5.4 | even | 2 | 950.2.l.i.701.3 | 18 | |||
19.3 | odd | 18 | 3610.2.a.bj.1.7 | 9 | |||
19.9 | even | 9 | inner | 190.2.k.d.161.1 | yes | 18 | |
19.16 | even | 9 | 3610.2.a.bi.1.3 | 9 | |||
95.9 | even | 18 | 950.2.l.i.351.3 | 18 | |||
95.28 | odd | 36 | 950.2.u.g.199.1 | 36 | |||
95.47 | odd | 36 | 950.2.u.g.199.6 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.131.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
190.2.k.d.161.1 | yes | 18 | 19.9 | even | 9 | inner | |
950.2.l.i.351.3 | 18 | 95.9 | even | 18 | |||
950.2.l.i.701.3 | 18 | 5.4 | even | 2 | |||
950.2.u.g.199.1 | 36 | 95.28 | odd | 36 | |||
950.2.u.g.199.6 | 36 | 95.47 | odd | 36 | |||
950.2.u.g.549.1 | 36 | 5.2 | odd | 4 | |||
950.2.u.g.549.6 | 36 | 5.3 | odd | 4 | |||
3610.2.a.bi.1.3 | 9 | 19.16 | even | 9 | |||
3610.2.a.bj.1.7 | 9 | 19.3 | odd | 18 |