Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(106,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.106");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.n (of order \(5\), degree \(4\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 31 x^{18} - 74 x^{17} + 109 x^{16} - 72 x^{15} - 51 x^{14} + 9 x^{13} + 866 x^{12} + \cdots + 3125 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 211.4 | ||
Root | \(-0.238506 - 1.88710i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 525.211 |
Dual form | 525.2.n.b.316.4 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.269002 | − | 0.195442i | 0.190213 | − | 0.138198i | −0.488603 | − | 0.872506i | \(-0.662493\pi\) |
0.678816 | + | 0.734308i | \(0.262493\pi\) | |||||||
\(3\) | −0.309017 | + | 0.951057i | −0.178411 | + | 0.549093i | ||||
\(4\) | −0.583869 | + | 1.79696i | −0.291935 | + | 0.898482i | ||||
\(5\) | −0.418871 | + | 2.19649i | −0.187325 | + | 0.982298i | ||||
\(6\) | 0.102750 | + | 0.316231i | 0.0419474 | + | 0.129101i | ||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 0.399639 | + | 1.22996i | 0.141294 | + | 0.434857i | ||||
\(9\) | −0.809017 | − | 0.587785i | −0.269672 | − | 0.195928i | ||||
\(10\) | 0.316607 | + | 0.672725i | 0.100120 | + | 0.212734i | ||||
\(11\) | −0.240778 | + | 0.174935i | −0.0725972 | + | 0.0527449i | −0.623492 | − | 0.781830i | \(-0.714287\pi\) |
0.550895 | + | 0.834575i | \(0.314287\pi\) | |||||||
\(12\) | −1.52859 | − | 1.11059i | −0.441266 | − | 0.320598i | ||||
\(13\) | 0.725677 | + | 0.527236i | 0.201267 | + | 0.146229i | 0.683854 | − | 0.729619i | \(-0.260303\pi\) |
−0.482587 | + | 0.875848i | \(0.660303\pi\) | |||||||
\(14\) | −0.269002 | + | 0.195442i | −0.0718939 | + | 0.0522340i | ||||
\(15\) | −1.95954 | − | 1.07712i | −0.505952 | − | 0.278112i | ||||
\(16\) | −2.70929 | − | 1.96841i | −0.677322 | − | 0.492103i | ||||
\(17\) | −0.496003 | − | 1.52654i | −0.120298 | − | 0.370241i | 0.872717 | − | 0.488227i | \(-0.162356\pi\) |
−0.993015 | + | 0.117986i | \(0.962356\pi\) | |||||||
\(18\) | −0.332505 | −0.0783722 | ||||||||
\(19\) | −0.214905 | − | 0.661409i | −0.0493025 | − | 0.151738i | 0.923374 | − | 0.383901i | \(-0.125420\pi\) |
−0.972677 | + | 0.232163i | \(0.925420\pi\) | |||||||
\(20\) | −3.70244 | − | 2.03516i | −0.827891 | − | 0.455075i | ||||
\(21\) | 0.309017 | − | 0.951057i | 0.0674330 | − | 0.207538i | ||||
\(22\) | −0.0305801 | + | 0.0941159i | −0.00651970 | + | 0.0200656i | ||||
\(23\) | −0.313727 | + | 0.227936i | −0.0654166 | + | 0.0475280i | −0.620013 | − | 0.784592i | \(-0.712873\pi\) |
0.554596 | + | 0.832120i | \(0.312873\pi\) | |||||||
\(24\) | −1.29326 | −0.263985 | ||||||||
\(25\) | −4.64909 | − | 1.84009i | −0.929819 | − | 0.368018i | ||||
\(26\) | 0.298253 | 0.0584922 | ||||||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | 0.583869 | − | 1.79696i | 0.110341 | − | 0.339594i | ||||
\(29\) | −1.71326 | + | 5.27289i | −0.318145 | + | 0.979151i | 0.656295 | + | 0.754504i | \(0.272123\pi\) |
−0.974440 | + | 0.224646i | \(0.927877\pi\) | |||||||
\(30\) | −0.737636 | + | 0.0932282i | −0.134673 | + | 0.0170211i | ||||
\(31\) | 0.911863 | + | 2.80643i | 0.163776 | + | 0.504049i | 0.998944 | − | 0.0459450i | \(-0.0146299\pi\) |
−0.835168 | + | 0.549994i | \(0.814630\pi\) | |||||||
\(32\) | −3.70003 | −0.654080 | ||||||||
\(33\) | −0.0919688 | − | 0.283051i | −0.0160097 | − | 0.0492728i | ||||
\(34\) | −0.431776 | − | 0.313703i | −0.0740489 | − | 0.0537997i | ||||
\(35\) | 0.418871 | − | 2.19649i | 0.0708021 | − | 0.371274i | ||||
\(36\) | 1.52859 | − | 1.11059i | 0.254765 | − | 0.185098i | ||||
\(37\) | −9.77301 | − | 7.10051i | −1.60667 | − | 1.16732i | −0.872869 | − | 0.487954i | \(-0.837743\pi\) |
−0.733803 | − | 0.679362i | \(-0.762257\pi\) | |||||||
\(38\) | −0.187077 | − | 0.135919i | −0.0303478 | − | 0.0220490i | ||||
\(39\) | −0.725677 | + | 0.527236i | −0.116201 | + | 0.0844253i | ||||
\(40\) | −2.86899 | + | 0.362605i | −0.453627 | + | 0.0573330i | ||||
\(41\) | 6.11269 | + | 4.44113i | 0.954641 | + | 0.693587i | 0.951900 | − | 0.306409i | \(-0.0991275\pi\) |
0.00274105 | + | 0.999996i | \(0.499127\pi\) | |||||||
\(42\) | −0.102750 | − | 0.316231i | −0.0158546 | − | 0.0487955i | ||||
\(43\) | 7.36272 | 1.12280 | 0.561402 | − | 0.827543i | \(-0.310262\pi\) | ||||
0.561402 | + | 0.827543i | \(0.310262\pi\) | |||||||
\(44\) | −0.173770 | − | 0.534808i | −0.0261968 | − | 0.0806253i | ||||
\(45\) | 1.62994 | − | 1.53079i | 0.242976 | − | 0.228196i | ||||
\(46\) | −0.0398451 | + | 0.122631i | −0.00587484 | + | 0.0180809i | ||||
\(47\) | −1.04098 | + | 3.20382i | −0.151843 | + | 0.467325i | −0.997827 | − | 0.0658827i | \(-0.979014\pi\) |
0.845984 | + | 0.533208i | \(0.179014\pi\) | |||||||
\(48\) | 2.70929 | − | 1.96841i | 0.391052 | − | 0.284116i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −1.61025 | + | 0.413639i | −0.227723 | + | 0.0584973i | ||||
\(51\) | 1.60510 | 0.224759 | ||||||||
\(52\) | −1.37112 | + | 0.996180i | −0.190141 | + | 0.138145i | ||||
\(53\) | −2.52816 | + | 7.78088i | −0.347270 | + | 1.06879i | 0.613088 | + | 0.790015i | \(0.289927\pi\) |
−0.960358 | + | 0.278771i | \(0.910073\pi\) | |||||||
\(54\) | 0.102750 | − | 0.316231i | 0.0139825 | − | 0.0430336i | ||||
\(55\) | −0.283388 | − | 0.602139i | −0.0382120 | − | 0.0811925i | ||||
\(56\) | −0.399639 | − | 1.22996i | −0.0534040 | − | 0.164361i | ||||
\(57\) | 0.695446 | 0.0921141 | ||||||||
\(58\) | 0.569670 | + | 1.75326i | 0.0748013 | + | 0.230215i | ||||
\(59\) | 8.59335 | + | 6.24344i | 1.11876 | + | 0.812826i | 0.984021 | − | 0.178055i | \(-0.0569805\pi\) |
0.134739 | + | 0.990881i | \(0.456981\pi\) | |||||||
\(60\) | 3.07967 | − | 2.89233i | 0.397583 | − | 0.373398i | ||||
\(61\) | −7.67713 | + | 5.57776i | −0.982955 | + | 0.714159i | −0.958367 | − | 0.285539i | \(-0.907827\pi\) |
−0.0245882 | + | 0.999698i | \(0.507827\pi\) | |||||||
\(62\) | 0.793786 | + | 0.576720i | 0.100811 | + | 0.0732434i | ||||
\(63\) | 0.809017 | + | 0.587785i | 0.101927 | + | 0.0740540i | ||||
\(64\) | 4.42326 | − | 3.21369i | 0.552907 | − | 0.401711i | ||||
\(65\) | −1.46203 | + | 1.37310i | −0.181343 | + | 0.170312i | ||||
\(66\) | −0.0800598 | − | 0.0581668i | −0.00985468 | − | 0.00715984i | ||||
\(67\) | 0.840130 | + | 2.58565i | 0.102638 | + | 0.315888i | 0.989169 | − | 0.146782i | \(-0.0468916\pi\) |
−0.886531 | + | 0.462670i | \(0.846892\pi\) | |||||||
\(68\) | 3.03274 | 0.367774 | ||||||||
\(69\) | −0.119833 | − | 0.368808i | −0.0144262 | − | 0.0443993i | ||||
\(70\) | −0.316607 | − | 0.672725i | −0.0378418 | − | 0.0804060i | ||||
\(71\) | −2.01106 | + | 6.18940i | −0.238669 | + | 0.734547i | 0.757945 | + | 0.652319i | \(0.226204\pi\) |
−0.996614 | + | 0.0822283i | \(0.973796\pi\) | |||||||
\(72\) | 0.399639 | − | 1.22996i | 0.0470979 | − | 0.144952i | ||||
\(73\) | 10.1076 | − | 7.34362i | 1.18301 | − | 0.859505i | 0.190500 | − | 0.981687i | \(-0.438989\pi\) |
0.992508 | + | 0.122182i | \(0.0389892\pi\) | |||||||
\(74\) | −4.01670 | −0.466932 | ||||||||
\(75\) | 3.18668 | − | 3.85293i | 0.367966 | − | 0.444898i | ||||
\(76\) | 1.31400 | 0.150727 | ||||||||
\(77\) | 0.240778 | − | 0.174935i | 0.0274391 | − | 0.0199357i | ||||
\(78\) | −0.0921652 | + | 0.283655i | −0.0104357 | + | 0.0321176i | ||||
\(79\) | −1.55222 | + | 4.77724i | −0.174638 | + | 0.537481i | −0.999617 | − | 0.0276827i | \(-0.991187\pi\) |
0.824978 | + | 0.565164i | \(0.191187\pi\) | |||||||
\(80\) | 5.45843 | − | 5.12640i | 0.610271 | − | 0.573149i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 2.51231 | 0.277438 | ||||||||
\(83\) | 2.96394 | + | 9.12206i | 0.325334 | + | 1.00128i | 0.971289 | + | 0.237901i | \(0.0764594\pi\) |
−0.645955 | + | 0.763376i | \(0.723541\pi\) | |||||||
\(84\) | 1.52859 | + | 1.11059i | 0.166783 | + | 0.121175i | ||||
\(85\) | 3.56079 | − | 0.450040i | 0.386221 | − | 0.0488137i | ||||
\(86\) | 1.98059 | − | 1.43898i | 0.213572 | − | 0.155169i | ||||
\(87\) | −4.48539 | − | 3.25882i | −0.480884 | − | 0.349383i | ||||
\(88\) | −0.311388 | − | 0.226236i | −0.0331940 | − | 0.0241169i | ||||
\(89\) | −7.95249 | + | 5.77782i | −0.842962 | + | 0.612448i | −0.923196 | − | 0.384328i | \(-0.874433\pi\) |
0.0802346 | + | 0.996776i | \(0.474433\pi\) | |||||||
\(90\) | 0.139277 | − | 0.730343i | 0.0146811 | − | 0.0769849i | ||||
\(91\) | −0.725677 | − | 0.527236i | −0.0760717 | − | 0.0552693i | ||||
\(92\) | −0.226417 | − | 0.696841i | −0.0236057 | − | 0.0726507i | ||||
\(93\) | −2.95085 | −0.305989 | ||||||||
\(94\) | 0.346133 | + | 1.06529i | 0.0357009 | + | 0.109876i | ||||
\(95\) | 1.54279 | − | 0.194990i | 0.158287 | − | 0.0200055i | ||||
\(96\) | 1.14337 | − | 3.51894i | 0.116695 | − | 0.359150i | ||||
\(97\) | 0.127712 | − | 0.393057i | 0.0129672 | − | 0.0399088i | −0.944364 | − | 0.328903i | \(-0.893321\pi\) |
0.957331 | + | 0.288995i | \(0.0933209\pi\) | |||||||
\(98\) | 0.269002 | − | 0.195442i | 0.0271733 | − | 0.0197426i | ||||
\(99\) | 0.297617 | 0.0299117 | ||||||||
\(100\) | 6.02104 | − | 7.27989i | 0.602104 | − | 0.727989i | ||||
\(101\) | 13.4179 | 1.33513 | 0.667563 | − | 0.744553i | \(-0.267337\pi\) | ||||
0.667563 | + | 0.744553i | \(0.267337\pi\) | |||||||
\(102\) | 0.431776 | − | 0.313703i | 0.0427522 | − | 0.0310613i | ||||
\(103\) | 6.11484 | − | 18.8195i | 0.602513 | − | 1.85434i | 0.0894541 | − | 0.995991i | \(-0.471488\pi\) |
0.513059 | − | 0.858353i | \(-0.328512\pi\) | |||||||
\(104\) | −0.358471 | + | 1.10326i | −0.0351510 | + | 0.108184i | ||||
\(105\) | 1.95954 | + | 1.07712i | 0.191232 | + | 0.105116i | ||||
\(106\) | 0.840627 | + | 2.58718i | 0.0816489 | + | 0.251289i | ||||
\(107\) | −5.66506 | −0.547662 | −0.273831 | − | 0.961778i | \(-0.588291\pi\) | ||||
−0.273831 | + | 0.961778i | \(0.588291\pi\) | |||||||
\(108\) | 0.583869 | + | 1.79696i | 0.0561828 | + | 0.172913i | ||||
\(109\) | −0.554604 | − | 0.402943i | −0.0531214 | − | 0.0385950i | 0.560908 | − | 0.827878i | \(-0.310452\pi\) |
−0.614029 | + | 0.789283i | \(0.710452\pi\) | |||||||
\(110\) | −0.193915 | − | 0.106591i | −0.0184891 | − | 0.0101631i | ||||
\(111\) | 9.77301 | − | 7.10051i | 0.927613 | − | 0.673950i | ||||
\(112\) | 2.70929 | + | 1.96841i | 0.256004 | + | 0.185998i | ||||
\(113\) | −5.30248 | − | 3.85248i | −0.498815 | − | 0.362410i | 0.309749 | − | 0.950818i | \(-0.399755\pi\) |
−0.808564 | + | 0.588408i | \(0.799755\pi\) | |||||||
\(114\) | 0.187077 | − | 0.135919i | 0.0175213 | − | 0.0127300i | ||||
\(115\) | −0.369247 | − | 0.784573i | −0.0344325 | − | 0.0731618i | ||||
\(116\) | −8.47487 | − | 6.15735i | −0.786872 | − | 0.571696i | ||||
\(117\) | −0.277184 | − | 0.853085i | −0.0256257 | − | 0.0788677i | ||||
\(118\) | 3.53186 | 0.325134 | ||||||||
\(119\) | 0.496003 | + | 1.52654i | 0.0454685 | + | 0.139938i | ||||
\(120\) | 0.541709 | − | 2.84062i | 0.0494510 | − | 0.259312i | ||||
\(121\) | −3.37182 | + | 10.3774i | −0.306529 | + | 0.943398i | ||||
\(122\) | −0.975039 | + | 3.00086i | −0.0882759 | + | 0.271685i | ||||
\(123\) | −6.11269 | + | 4.44113i | −0.551162 | + | 0.400443i | ||||
\(124\) | −5.57546 | −0.500691 | ||||||||
\(125\) | 5.98910 | − | 9.44091i | 0.535681 | − | 0.844420i | ||||
\(126\) | 0.332505 | 0.0296219 | ||||||||
\(127\) | 3.14259 | − | 2.28323i | 0.278860 | − | 0.202604i | −0.439560 | − | 0.898213i | \(-0.644866\pi\) |
0.718420 | + | 0.695610i | \(0.244866\pi\) | |||||||
\(128\) | 2.84853 | − | 8.76686i | 0.251776 | − | 0.774888i | ||||
\(129\) | −2.27521 | + | 7.00236i | −0.200321 | + | 0.616524i | ||||
\(130\) | −0.124929 | + | 0.655108i | −0.0109570 | + | 0.0574568i | ||||
\(131\) | 4.02249 | + | 12.3800i | 0.351447 | + | 1.08164i | 0.958041 | + | 0.286631i | \(0.0925353\pi\) |
−0.606594 | + | 0.795012i | \(0.707465\pi\) | |||||||
\(132\) | 0.562330 | 0.0489446 | ||||||||
\(133\) | 0.214905 | + | 0.661409i | 0.0186346 | + | 0.0573514i | ||||
\(134\) | 0.731342 | + | 0.531351i | 0.0631783 | + | 0.0459017i | ||||
\(135\) | 0.952188 | + | 2.02320i | 0.0819513 | + | 0.174129i | ||||
\(136\) | 1.67937 | − | 1.22013i | 0.144004 | − | 0.104625i | ||||
\(137\) | −8.94111 | − | 6.49610i | −0.763891 | − | 0.554999i | 0.136210 | − | 0.990680i | \(-0.456508\pi\) |
−0.900101 | + | 0.435681i | \(0.856508\pi\) | |||||||
\(138\) | −0.104316 | − | 0.0757900i | −0.00887996 | − | 0.00645167i | ||||
\(139\) | 3.00629 | − | 2.18420i | 0.254990 | − | 0.185261i | −0.452945 | − | 0.891538i | \(-0.649627\pi\) |
0.707936 | + | 0.706277i | \(0.249627\pi\) | |||||||
\(140\) | 3.70244 | + | 2.03516i | 0.312913 | + | 0.172002i | ||||
\(141\) | −2.72533 | − | 1.98007i | −0.229514 | − | 0.166752i | ||||
\(142\) | 0.668688 | + | 2.05801i | 0.0561150 | + | 0.172704i | ||||
\(143\) | −0.266959 | −0.0223242 | ||||||||
\(144\) | 1.03486 | + | 3.18496i | 0.0862380 | + | 0.265413i | ||||
\(145\) | −10.8642 | − | 5.97182i | −0.902221 | − | 0.495933i | ||||
\(146\) | 1.28373 | − | 3.95090i | 0.106242 | − | 0.326979i | ||||
\(147\) | −0.309017 | + | 0.951057i | −0.0254873 | + | 0.0784418i | ||||
\(148\) | 18.4655 | − | 13.4160i | 1.51786 | − | 1.10279i | ||||
\(149\) | 6.93831 | 0.568409 | 0.284204 | − | 0.958764i | \(-0.408271\pi\) | ||||
0.284204 | + | 0.958764i | \(0.408271\pi\) | |||||||
\(150\) | 0.104200 | − | 1.65926i | 0.00850791 | − | 0.135478i | ||||
\(151\) | −1.57556 | −0.128217 | −0.0641086 | − | 0.997943i | \(-0.520420\pi\) | ||||
−0.0641086 | + | 0.997943i | \(0.520420\pi\) | |||||||
\(152\) | 0.727624 | − | 0.528650i | 0.0590181 | − | 0.0428791i | ||||
\(153\) | −0.496003 | + | 1.52654i | −0.0400995 | + | 0.123414i | ||||
\(154\) | 0.0305801 | − | 0.0941159i | 0.00246422 | − | 0.00758408i | ||||
\(155\) | −6.54623 | + | 0.827363i | −0.525806 | + | 0.0664554i | ||||
\(156\) | −0.523723 | − | 1.61185i | −0.0419314 | − | 0.129052i | ||||
\(157\) | 1.63024 | 0.130107 | 0.0650536 | − | 0.997882i | \(-0.479278\pi\) | ||||
0.0650536 | + | 0.997882i | \(0.479278\pi\) | |||||||
\(158\) | 0.516121 | + | 1.58846i | 0.0410604 | + | 0.126371i | ||||
\(159\) | −6.61881 | − | 4.80885i | −0.524906 | − | 0.381366i | ||||
\(160\) | 1.54984 | − | 8.12707i | 0.122525 | − | 0.642501i | ||||
\(161\) | 0.313727 | − | 0.227936i | 0.0247252 | − | 0.0179639i | ||||
\(162\) | 0.269002 | + | 0.195442i | 0.0211348 | + | 0.0153553i | ||||
\(163\) | 7.12442 | + | 5.17619i | 0.558027 | + | 0.405431i | 0.830736 | − | 0.556666i | \(-0.187920\pi\) |
−0.272709 | + | 0.962097i | \(0.587920\pi\) | |||||||
\(164\) | −11.5496 | + | 8.39124i | −0.901869 | + | 0.655246i | ||||
\(165\) | 0.660240 | − | 0.0834463i | 0.0513996 | − | 0.00649628i | ||||
\(166\) | 2.58014 | + | 1.87458i | 0.200258 | + | 0.145496i | ||||
\(167\) | 2.61474 | + | 8.04734i | 0.202335 | + | 0.622722i | 0.999812 | + | 0.0193735i | \(0.00616716\pi\) |
−0.797478 | + | 0.603348i | \(0.793833\pi\) | |||||||
\(168\) | 1.29326 | 0.0997771 | ||||||||
\(169\) | −3.76859 | − | 11.5985i | −0.289892 | − | 0.892195i | ||||
\(170\) | 0.869904 | − | 0.816988i | 0.0667186 | − | 0.0626601i | ||||
\(171\) | −0.214905 | + | 0.661409i | −0.0164342 | + | 0.0505792i | ||||
\(172\) | −4.29886 | + | 13.2305i | −0.327785 | + | 1.00882i | ||||
\(173\) | 4.38570 | − | 3.18639i | 0.333438 | − | 0.242257i | −0.408450 | − | 0.912781i | \(-0.633931\pi\) |
0.741888 | + | 0.670524i | \(0.233931\pi\) | |||||||
\(174\) | −1.84349 | −0.139755 | ||||||||
\(175\) | 4.64909 | + | 1.84009i | 0.351438 | + | 0.139098i | ||||
\(176\) | 0.996680 | 0.0751276 | ||||||||
\(177\) | −8.59335 | + | 6.24344i | −0.645916 | + | 0.469285i | ||||
\(178\) | −1.01001 | + | 3.10849i | −0.0757035 | + | 0.232992i | ||||
\(179\) | −5.26264 | + | 16.1967i | −0.393348 | + | 1.21060i | 0.536893 | + | 0.843650i | \(0.319598\pi\) |
−0.930241 | + | 0.366950i | \(0.880402\pi\) | |||||||
\(180\) | 1.79910 | + | 3.82272i | 0.134097 | + | 0.284928i | ||||
\(181\) | 5.55106 | + | 17.0844i | 0.412607 | + | 1.26987i | 0.914374 | + | 0.404871i | \(0.132684\pi\) |
−0.501767 | + | 0.865003i | \(0.667316\pi\) | |||||||
\(182\) | −0.298253 | −0.0221080 | ||||||||
\(183\) | −2.93240 | − | 9.02500i | −0.216769 | − | 0.667147i | ||||
\(184\) | −0.405731 | − | 0.294780i | −0.0299109 | − | 0.0217315i | ||||
\(185\) | 19.6898 | − | 18.4921i | 1.44762 | − | 1.35956i | ||||
\(186\) | −0.793786 | + | 0.576720i | −0.0582032 | + | 0.0422871i | ||||
\(187\) | 0.386472 | + | 0.280788i | 0.0282616 | + | 0.0205333i | ||||
\(188\) | −5.14935 | − | 3.74122i | −0.375555 | − | 0.272857i | ||||
\(189\) | −0.809017 | + | 0.587785i | −0.0588473 | + | 0.0427551i | ||||
\(190\) | 0.376905 | − | 0.353979i | 0.0273436 | − | 0.0256803i | ||||
\(191\) | 4.76382 | + | 3.46112i | 0.344698 | + | 0.250438i | 0.746641 | − | 0.665227i | \(-0.231665\pi\) |
−0.401943 | + | 0.915665i | \(0.631665\pi\) | |||||||
\(192\) | 1.68953 | + | 5.19985i | 0.121932 | + | 0.375267i | ||||
\(193\) | −7.77537 | −0.559683 | −0.279842 | − | 0.960046i | \(-0.590282\pi\) | ||||
−0.279842 | + | 0.960046i | \(0.590282\pi\) | |||||||
\(194\) | −0.0424648 | − | 0.130693i | −0.00304880 | − | 0.00938324i | ||||
\(195\) | −0.854100 | − | 1.81478i | −0.0611634 | − | 0.129959i | ||||
\(196\) | −0.583869 | + | 1.79696i | −0.0417049 | + | 0.128355i | ||||
\(197\) | −0.00362465 | + | 0.0111555i | −0.000258246 | + | 0.000794799i | −0.951186 | − | 0.308620i | \(-0.900133\pi\) |
0.950927 | + | 0.309414i | \(0.100133\pi\) | |||||||
\(198\) | 0.0800598 | − | 0.0581668i | 0.00568960 | − | 0.00413374i | ||||
\(199\) | −4.31497 | −0.305880 | −0.152940 | − | 0.988235i | \(-0.548874\pi\) | ||||
−0.152940 | + | 0.988235i | \(0.548874\pi\) | |||||||
\(200\) | 0.405280 | − | 6.45358i | 0.0286577 | − | 0.456337i | ||||
\(201\) | −2.71872 | −0.191764 | ||||||||
\(202\) | 3.60943 | − | 2.62241i | 0.253959 | − | 0.184512i | ||||
\(203\) | 1.71326 | − | 5.27289i | 0.120248 | − | 0.370084i | ||||
\(204\) | −0.937168 | + | 2.88431i | −0.0656149 | + | 0.201942i | ||||
\(205\) | −12.3153 | + | 11.5662i | −0.860137 | + | 0.807816i | ||||
\(206\) | −2.03322 | − | 6.25760i | −0.141661 | − | 0.435987i | ||||
\(207\) | 0.387788 | 0.0269531 | ||||||||
\(208\) | −0.928252 | − | 2.85687i | −0.0643627 | − | 0.198088i | ||||
\(209\) | 0.167448 | + | 0.121658i | 0.0115826 | + | 0.00841526i | ||||
\(210\) | 0.737636 | − | 0.0932282i | 0.0509017 | − | 0.00643336i | ||||
\(211\) | 3.31349 | − | 2.40739i | 0.228110 | − | 0.165732i | −0.467860 | − | 0.883803i | \(-0.654975\pi\) |
0.695970 | + | 0.718071i | \(0.254975\pi\) | |||||||
\(212\) | −12.5058 | − | 9.08603i | −0.858905 | − | 0.624031i | ||||
\(213\) | −5.26502 | − | 3.82526i | −0.360753 | − | 0.262103i | ||||
\(214\) | −1.52391 | + | 1.10719i | −0.104173 | + | 0.0756859i | ||||
\(215\) | −3.08403 | + | 16.1721i | −0.210329 | + | 1.10293i | ||||
\(216\) | 1.04627 | + | 0.760159i | 0.0711896 | + | 0.0517223i | ||||
\(217\) | −0.911863 | − | 2.80643i | −0.0619013 | − | 0.190513i | ||||
\(218\) | −0.227942 | −0.0154382 | ||||||||
\(219\) | 3.86077 | + | 11.8822i | 0.260886 | + | 0.802926i | ||||
\(220\) | 1.24748 | − | 0.157667i | 0.0841054 | − | 0.0106299i | ||||
\(221\) | 0.444908 | − | 1.36929i | 0.0299278 | − | 0.0921082i | ||||
\(222\) | 1.24123 | − | 3.82011i | 0.0833058 | − | 0.256389i | ||||
\(223\) | −3.69642 | + | 2.68561i | −0.247531 | + | 0.179842i | −0.704632 | − | 0.709573i | \(-0.748888\pi\) |
0.457101 | + | 0.889415i | \(0.348888\pi\) | |||||||
\(224\) | 3.70003 | 0.247219 | ||||||||
\(225\) | 2.67962 | + | 4.22133i | 0.178641 | + | 0.281422i | ||||
\(226\) | −2.17931 | −0.144966 | ||||||||
\(227\) | 19.0901 | − | 13.8698i | 1.26705 | − | 0.920568i | 0.267973 | − | 0.963427i | \(-0.413646\pi\) |
0.999081 | + | 0.0428582i | \(0.0136464\pi\) | |||||||
\(228\) | −0.406050 | + | 1.24969i | −0.0268913 | + | 0.0827629i | ||||
\(229\) | 0.374390 | − | 1.15225i | 0.0247404 | − | 0.0761431i | −0.937924 | − | 0.346841i | \(-0.887254\pi\) |
0.962664 | + | 0.270698i | \(0.0872544\pi\) | |||||||
\(230\) | −0.252667 | − | 0.138886i | −0.0166603 | − | 0.00915785i | ||||
\(231\) | 0.0919688 | + | 0.283051i | 0.00605110 | + | 0.0186234i | ||||
\(232\) | −7.17014 | −0.470743 | ||||||||
\(233\) | 4.43509 | + | 13.6498i | 0.290552 | + | 0.894229i | 0.984679 | + | 0.174376i | \(0.0557907\pi\) |
−0.694127 | + | 0.719853i | \(0.744209\pi\) | |||||||
\(234\) | −0.241292 | − | 0.175309i | −0.0157737 | − | 0.0114603i | ||||
\(235\) | −6.60111 | − | 3.62850i | −0.430609 | − | 0.236697i | ||||
\(236\) | −16.2366 | + | 11.7966i | −1.05691 | + | 0.767893i | ||||
\(237\) | −4.06376 | − | 2.95250i | −0.263970 | − | 0.191785i | ||||
\(238\) | 0.431776 | + | 0.313703i | 0.0279879 | + | 0.0203344i | ||||
\(239\) | 4.27554 | − | 3.10636i | 0.276562 | − | 0.200934i | −0.440855 | − | 0.897579i | \(-0.645325\pi\) |
0.717416 | + | 0.696645i | \(0.245325\pi\) | |||||||
\(240\) | 3.18875 | + | 6.77542i | 0.205833 | + | 0.437352i | ||||
\(241\) | −8.55292 | − | 6.21406i | −0.550942 | − | 0.400283i | 0.277191 | − | 0.960815i | \(-0.410597\pi\) |
−0.828133 | + | 0.560532i | \(0.810597\pi\) | |||||||
\(242\) | 1.12115 | + | 3.45053i | 0.0720700 | + | 0.221809i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −5.54060 | − | 17.0522i | −0.354700 | − | 1.09166i | ||||
\(245\) | −0.418871 | + | 2.19649i | −0.0267607 | + | 0.140328i | ||||
\(246\) | −0.776346 | + | 2.38935i | −0.0494980 | + | 0.152339i | ||||
\(247\) | 0.192767 | − | 0.593275i | 0.0122654 | − | 0.0377492i | ||||
\(248\) | −3.08738 | + | 2.24312i | −0.196049 | + | 0.142438i | ||||
\(249\) | −9.59151 | −0.607837 | ||||||||
\(250\) | −0.234065 | − | 3.71015i | −0.0148036 | − | 0.234650i | ||||
\(251\) | 23.4125 | 1.47779 | 0.738894 | − | 0.673822i | \(-0.235349\pi\) | ||||
0.738894 | + | 0.673822i | \(0.235349\pi\) | |||||||
\(252\) | −1.52859 | + | 1.11059i | −0.0962921 | + | 0.0699603i | ||||
\(253\) | 0.0356644 | − | 0.109764i | 0.00224220 | − | 0.00690079i | ||||
\(254\) | 0.399127 | − | 1.22839i | 0.0250435 | − | 0.0770759i | ||||
\(255\) | −0.672330 | + | 3.52558i | −0.0421029 | + | 0.220780i | ||||
\(256\) | 2.43192 | + | 7.48468i | 0.151995 | + | 0.467792i | ||||
\(257\) | −3.45400 | −0.215455 | −0.107727 | − | 0.994180i | \(-0.534357\pi\) | ||||
−0.107727 | + | 0.994180i | \(0.534357\pi\) | |||||||
\(258\) | 0.756518 | + | 2.32832i | 0.0470987 | + | 0.144955i | ||||
\(259\) | 9.77301 | + | 7.10051i | 0.607265 | + | 0.441204i | ||||
\(260\) | −1.61377 | − | 3.42893i | −0.100082 | − | 0.212653i | ||||
\(261\) | 4.48539 | − | 3.25882i | 0.277638 | − | 0.201716i | ||||
\(262\) | 3.50162 | + | 2.54408i | 0.216331 | + | 0.157174i | ||||
\(263\) | −19.0390 | − | 13.8326i | −1.17399 | − | 0.852957i | −0.182513 | − | 0.983203i | \(-0.558423\pi\) |
−0.991482 | + | 0.130247i | \(0.958423\pi\) | |||||||
\(264\) | 0.311388 | − | 0.226236i | 0.0191646 | − | 0.0139239i | ||||
\(265\) | −16.0316 | − | 8.81225i | −0.984814 | − | 0.541332i | ||||
\(266\) | 0.187077 | + | 0.135919i | 0.0114704 | + | 0.00833374i | ||||
\(267\) | −3.03758 | − | 9.34871i | −0.185897 | − | 0.572132i | ||||
\(268\) | −5.13685 | −0.313783 | ||||||||
\(269\) | −6.32337 | − | 19.4613i | −0.385543 | − | 1.18658i | −0.936086 | − | 0.351772i | \(-0.885579\pi\) |
0.550543 | − | 0.834807i | \(-0.314421\pi\) | |||||||
\(270\) | 0.651558 | + | 0.358149i | 0.0396526 | + | 0.0217962i | ||||
\(271\) | −4.01967 | + | 12.3713i | −0.244177 | + | 0.751501i | 0.751593 | + | 0.659627i | \(0.229286\pi\) |
−0.995771 | + | 0.0918740i | \(0.970714\pi\) | |||||||
\(272\) | −1.66105 | + | 5.11218i | −0.100716 | + | 0.309971i | ||||
\(273\) | 0.725677 | − | 0.527236i | 0.0439200 | − | 0.0319097i | ||||
\(274\) | −3.67479 | −0.222002 | ||||||||
\(275\) | 1.44129 | − | 0.370238i | 0.0869133 | − | 0.0223262i | ||||
\(276\) | 0.732702 | 0.0441035 | ||||||||
\(277\) | −23.7245 | + | 17.2368i | −1.42547 | + | 1.03566i | −0.434626 | + | 0.900611i | \(0.643120\pi\) |
−0.990839 | + | 0.135050i | \(0.956880\pi\) | |||||||
\(278\) | 0.381816 | − | 1.17511i | 0.0228998 | − | 0.0704783i | ||||
\(279\) | 0.911863 | − | 2.80643i | 0.0545918 | − | 0.168016i | ||||
\(280\) | 2.86899 | − | 0.362605i | 0.171455 | − | 0.0216698i | ||||
\(281\) | 2.72771 | + | 8.39502i | 0.162721 | + | 0.500805i | 0.998861 | − | 0.0477116i | \(-0.0151928\pi\) |
−0.836140 | + | 0.548516i | \(0.815193\pi\) | |||||||
\(282\) | −1.12011 | −0.0667015 | ||||||||
\(283\) | 7.17177 | + | 22.0724i | 0.426317 | + | 1.31207i | 0.901727 | + | 0.432305i | \(0.142300\pi\) |
−0.475410 | + | 0.879764i | \(0.657700\pi\) | |||||||
\(284\) | −9.94794 | − | 7.22760i | −0.590302 | − | 0.428879i | ||||
\(285\) | −0.291302 | + | 1.52754i | −0.0172553 | + | 0.0904835i | ||||
\(286\) | −0.0718126 | + | 0.0521749i | −0.00424637 | + | 0.00308517i | ||||
\(287\) | −6.11269 | − | 4.44113i | −0.360820 | − | 0.262151i | ||||
\(288\) | 2.99339 | + | 2.17483i | 0.176387 | + | 0.128153i | ||||
\(289\) | 11.6690 | − | 8.47801i | 0.686411 | − | 0.498707i | ||||
\(290\) | −4.08963 | + | 0.516880i | −0.240152 | + | 0.0303522i | ||||
\(291\) | 0.334354 | + | 0.242922i | 0.0196002 | + | 0.0142404i | ||||
\(292\) | 7.29469 | + | 22.4507i | 0.426889 | + | 1.31383i | ||||
\(293\) | −6.48549 | −0.378886 | −0.189443 | − | 0.981892i | \(-0.560668\pi\) | ||||
−0.189443 | + | 0.981892i | \(0.560668\pi\) | |||||||
\(294\) | 0.102750 | + | 0.316231i | 0.00599249 | + | 0.0184430i | ||||
\(295\) | −17.3131 | + | 16.2600i | −1.00801 | + | 0.946692i | ||||
\(296\) | 4.82768 | − | 14.8581i | 0.280603 | − | 0.863608i | ||||
\(297\) | −0.0919688 | + | 0.283051i | −0.00533657 | + | 0.0164243i | ||||
\(298\) | 1.86642 | − | 1.35604i | 0.108119 | − | 0.0785530i | ||||
\(299\) | −0.347841 | −0.0201161 | ||||||||
\(300\) | 5.06298 | + | 7.97595i | 0.292311 | + | 0.460492i | ||||
\(301\) | −7.36272 | −0.424380 | ||||||||
\(302\) | −0.423829 | + | 0.307930i | −0.0243886 | + | 0.0177194i | ||||
\(303\) | −4.14634 | + | 12.7611i | −0.238201 | + | 0.733108i | ||||
\(304\) | −0.719687 | + | 2.21497i | −0.0412769 | + | 0.127037i | ||||
\(305\) | −9.03574 | − | 19.1991i | −0.517385 | − | 1.09933i | ||||
\(306\) | 0.164924 | + | 0.507583i | 0.00942806 | + | 0.0290166i | ||||
\(307\) | 26.7751 | 1.52814 | 0.764069 | − | 0.645135i | \(-0.223199\pi\) | ||||
0.764069 | + | 0.645135i | \(0.223199\pi\) | |||||||
\(308\) | 0.173770 | + | 0.534808i | 0.00990144 | + | 0.0304735i | ||||
\(309\) | 16.0089 | + | 11.6311i | 0.910712 | + | 0.661671i | ||||
\(310\) | −1.59925 | + | 1.50197i | −0.0908313 | + | 0.0853061i | ||||
\(311\) | −2.82300 | + | 2.05103i | −0.160077 | + | 0.116303i | −0.664940 | − | 0.746897i | \(-0.731543\pi\) |
0.504863 | + | 0.863200i | \(0.331543\pi\) | |||||||
\(312\) | −0.938489 | − | 0.681852i | −0.0531315 | − | 0.0386023i | ||||
\(313\) | −11.1213 | − | 8.08013i | −0.628616 | − | 0.456716i | 0.227305 | − | 0.973824i | \(-0.427009\pi\) |
−0.855920 | + | 0.517108i | \(0.827009\pi\) | |||||||
\(314\) | 0.438538 | − | 0.318617i | 0.0247481 | − | 0.0179806i | ||||
\(315\) | −1.62994 | + | 1.53079i | −0.0918365 | + | 0.0862501i | ||||
\(316\) | −7.67824 | − | 5.57857i | −0.431935 | − | 0.313819i | ||||
\(317\) | −8.94470 | − | 27.5290i | −0.502385 | − | 1.54618i | −0.805124 | − | 0.593107i | \(-0.797901\pi\) |
0.302739 | − | 0.953073i | \(-0.402099\pi\) | |||||||
\(318\) | −2.72033 | −0.152548 | ||||||||
\(319\) | −0.509897 | − | 1.56930i | −0.0285488 | − | 0.0878641i | ||||
\(320\) | 5.20604 | + | 11.0617i | 0.291026 | + | 0.618370i | ||||
\(321\) | 1.75060 | − | 5.38779i | 0.0977090 | − | 0.300717i | ||||
\(322\) | 0.0398451 | − | 0.122631i | 0.00222048 | − | 0.00683394i | ||||
\(323\) | −0.903074 | + | 0.656122i | −0.0502484 | + | 0.0365076i | ||||
\(324\) | −1.88944 | −0.104969 | ||||||||
\(325\) | −2.40358 | − | 3.78648i | −0.133327 | − | 0.210036i | ||||
\(326\) | 2.92813 | 0.162174 | ||||||||
\(327\) | 0.554604 | − | 0.402943i | 0.0306697 | − | 0.0222828i | ||||
\(328\) | −3.01955 | + | 9.29322i | −0.166727 | + | 0.513132i | ||||
\(329\) | 1.04098 | − | 3.20382i | 0.0573913 | − | 0.176632i | ||||
\(330\) | 0.161297 | − | 0.151486i | 0.00887913 | − | 0.00833901i | ||||
\(331\) | 7.42008 | + | 22.8367i | 0.407844 | + | 1.25522i | 0.918497 | + | 0.395429i | \(0.129404\pi\) |
−0.510652 | + | 0.859787i | \(0.670596\pi\) | |||||||
\(332\) | −18.1226 | −0.994606 | ||||||||
\(333\) | 3.73296 | + | 11.4889i | 0.204565 | + | 0.629586i | ||||
\(334\) | 2.27616 | + | 1.65372i | 0.124546 | + | 0.0904878i | ||||
\(335\) | −6.03126 | + | 0.762277i | −0.329523 | + | 0.0416476i | ||||
\(336\) | −2.70929 | + | 1.96841i | −0.147804 | + | 0.107386i | ||||
\(337\) | −0.696584 | − | 0.506098i | −0.0379453 | − | 0.0275689i | 0.568651 | − | 0.822579i | \(-0.307466\pi\) |
−0.606596 | + | 0.795010i | \(0.707466\pi\) | |||||||
\(338\) | −3.28060 | − | 2.38349i | −0.178441 | − | 0.129645i | ||||
\(339\) | 5.30248 | − | 3.85248i | 0.287991 | − | 0.209238i | ||||
\(340\) | −1.27033 | + | 6.66137i | −0.0688932 | + | 0.361264i | ||||
\(341\) | −0.710499 | − | 0.516208i | −0.0384757 | − | 0.0279542i | ||||
\(342\) | 0.0714569 | + | 0.219922i | 0.00386395 | + | 0.0118920i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 2.94243 | + | 9.05587i | 0.158645 | + | 0.488260i | ||||
\(345\) | 0.860277 | − | 0.108728i | 0.0463157 | − | 0.00585374i | ||||
\(346\) | 0.557008 | − | 1.71430i | 0.0299450 | − | 0.0921611i | ||||
\(347\) | 7.13573 | − | 21.9615i | 0.383066 | − | 1.17896i | −0.554807 | − | 0.831979i | \(-0.687208\pi\) |
0.937873 | − | 0.346978i | \(-0.112792\pi\) | |||||||
\(348\) | 8.47487 | − | 6.15735i | 0.454301 | − | 0.330069i | ||||
\(349\) | −31.0155 | −1.66022 | −0.830112 | − | 0.557596i | \(-0.811724\pi\) | ||||
−0.830112 | + | 0.557596i | \(0.811724\pi\) | |||||||
\(350\) | 1.61025 | − | 0.413639i | 0.0860713 | − | 0.0221099i | ||||
\(351\) | 0.896987 | 0.0478776 | ||||||||
\(352\) | 0.890885 | − | 0.647266i | 0.0474843 | − | 0.0344994i | ||||
\(353\) | 2.91933 | − | 8.98478i | 0.155380 | − | 0.478212i | −0.842819 | − | 0.538197i | \(-0.819106\pi\) |
0.998199 | + | 0.0599857i | \(0.0191055\pi\) | |||||||
\(354\) | −1.09140 | + | 3.35900i | −0.0580075 | + | 0.178529i | ||||
\(355\) | −12.7526 | − | 7.00982i | −0.676836 | − | 0.372043i | ||||
\(356\) | −5.73932 | − | 17.6638i | −0.304184 | − | 0.936181i | ||||
\(357\) | −1.60510 | −0.0849509 | ||||||||
\(358\) | 1.74985 | + | 5.38550i | 0.0924827 | + | 0.284632i | ||||
\(359\) | 13.0691 | + | 9.49525i | 0.689760 | + | 0.501140i | 0.876581 | − | 0.481254i | \(-0.159819\pi\) |
−0.186821 | + | 0.982394i | \(0.559819\pi\) | |||||||
\(360\) | 2.53420 | + | 1.39300i | 0.133564 | + | 0.0734174i | ||||
\(361\) | 14.9800 | − | 10.8836i | 0.788423 | − | 0.572823i | ||||
\(362\) | 4.83225 | + | 3.51084i | 0.253978 | + | 0.184526i | ||||
\(363\) | −8.82753 | − | 6.41357i | −0.463325 | − | 0.336625i | ||||
\(364\) | 1.37112 | − | 0.996180i | 0.0718664 | − | 0.0522140i | ||||
\(365\) | 11.8964 | + | 25.2773i | 0.622683 | + | 1.32307i | ||||
\(366\) | −2.55269 | − | 1.85463i | −0.133431 | − | 0.0969433i | ||||
\(367\) | 3.36722 | + | 10.3632i | 0.175767 | + | 0.540957i | 0.999668 | − | 0.0257782i | \(-0.00820637\pi\) |
−0.823900 | + | 0.566735i | \(0.808206\pi\) | |||||||
\(368\) | 1.29865 | 0.0676968 | ||||||||
\(369\) | −2.33484 | − | 7.18589i | −0.121547 | − | 0.374083i | ||||
\(370\) | 1.68248 | − | 8.82262i | 0.0874679 | − | 0.458666i | ||||
\(371\) | 2.52816 | − | 7.78088i | 0.131256 | − | 0.403963i | ||||
\(372\) | 1.72291 | − | 5.30258i | 0.0893288 | − | 0.274926i | ||||
\(373\) | 16.0834 | − | 11.6853i | 0.832768 | − | 0.605041i | −0.0875733 | − | 0.996158i | \(-0.527911\pi\) |
0.920341 | + | 0.391117i | \(0.127911\pi\) | |||||||
\(374\) | 0.158840 | 0.00821340 | ||||||||
\(375\) | 7.12810 | + | 8.61337i | 0.368094 | + | 0.444793i | ||||
\(376\) | −4.35660 | −0.224674 | ||||||||
\(377\) | −4.02333 | + | 2.92312i | −0.207212 | + | 0.150548i | ||||
\(378\) | −0.102750 | + | 0.316231i | −0.00528488 | + | 0.0162652i | ||||
\(379\) | 6.83969 | − | 21.0504i | 0.351331 | − | 1.08129i | −0.606775 | − | 0.794874i | \(-0.707537\pi\) |
0.958106 | − | 0.286413i | \(-0.0924629\pi\) | |||||||
\(380\) | −0.550398 | + | 2.88619i | −0.0282348 | + | 0.148058i | ||||
\(381\) | 1.20036 | + | 3.69434i | 0.0614965 | + | 0.189267i | ||||
\(382\) | 1.95793 | 0.100176 | ||||||||
\(383\) | 5.61520 | + | 17.2818i | 0.286923 | + | 0.883059i | 0.985816 | + | 0.167832i | \(0.0536766\pi\) |
−0.698892 | + | 0.715227i | \(0.746323\pi\) | |||||||
\(384\) | 7.45754 | + | 5.41822i | 0.380566 | + | 0.276497i | ||||
\(385\) | 0.283388 | + | 0.602139i | 0.0144428 | + | 0.0306879i | ||||
\(386\) | −2.09159 | + | 1.51963i | −0.106459 | + | 0.0773472i | ||||
\(387\) | −5.95657 | − | 4.32770i | −0.302789 | − | 0.219989i | ||||
\(388\) | 0.631742 | + | 0.458987i | 0.0320718 | + | 0.0233015i | ||||
\(389\) | 19.6166 | − | 14.2523i | 0.994603 | − | 0.722621i | 0.0336787 | − | 0.999433i | \(-0.489278\pi\) |
0.960924 | + | 0.276811i | \(0.0892777\pi\) | |||||||
\(390\) | −0.584439 | − | 0.321254i | −0.0295942 | − | 0.0162674i | ||||
\(391\) | 0.503563 | + | 0.365860i | 0.0254663 | + | 0.0185024i | ||||
\(392\) | 0.399639 | + | 1.22996i | 0.0201848 | + | 0.0621225i | ||||
\(393\) | −13.0171 | −0.656624 | ||||||||
\(394\) | 0.00120522 | + | 0.00370927i | 6.07179e−5 | + | 0.000186871i | ||||
\(395\) | −9.84296 | − | 5.41047i | −0.495253 | − | 0.272230i | ||||
\(396\) | −0.173770 | + | 0.534808i | −0.00873225 | + | 0.0268751i | ||||
\(397\) | 6.60905 | − | 20.3405i | 0.331698 | − | 1.02086i | −0.636627 | − | 0.771172i | \(-0.719671\pi\) |
0.968326 | − | 0.249691i | \(-0.0803291\pi\) | |||||||
\(398\) | −1.16074 | + | 0.843325i | −0.0581825 | + | 0.0422721i | ||||
\(399\) | −0.695446 | −0.0348159 | ||||||||
\(400\) | 8.97368 | + | 14.1367i | 0.448684 | + | 0.706833i | ||||
\(401\) | −26.6770 | −1.33219 | −0.666093 | − | 0.745869i | \(-0.732035\pi\) | ||||
−0.666093 | + | 0.745869i | \(0.732035\pi\) | |||||||
\(402\) | −0.731342 | + | 0.531351i | −0.0364760 | + | 0.0265014i | ||||
\(403\) | −0.817929 | + | 2.51733i | −0.0407440 | + | 0.125397i | ||||
\(404\) | −7.83427 | + | 24.1114i | −0.389770 | + | 1.19959i | ||||
\(405\) | −2.21842 | + | 0.280381i | −0.110234 | + | 0.0139322i | ||||
\(406\) | −0.569670 | − | 1.75326i | −0.0282722 | − | 0.0870130i | ||||
\(407\) | 3.59525 | 0.178210 | ||||||||
\(408\) | 0.641461 | + | 1.97421i | 0.0317570 | + | 0.0977381i | ||||
\(409\) | −15.6119 | − | 11.3427i | −0.771957 | − | 0.560860i | 0.130597 | − | 0.991436i | \(-0.458311\pi\) |
−0.902555 | + | 0.430576i | \(0.858311\pi\) | |||||||
\(410\) | −1.05233 | + | 5.51825i | −0.0519710 | + | 0.272527i | ||||
\(411\) | 8.94111 | − | 6.49610i | 0.441033 | − | 0.320429i | ||||
\(412\) | 30.2478 | + | 21.9763i | 1.49020 | + | 1.08269i | ||||
\(413\) | −8.59335 | − | 6.24344i | −0.422851 | − | 0.307219i | ||||
\(414\) | 0.104316 | − | 0.0757900i | 0.00512685 | − | 0.00372487i | ||||
\(415\) | −21.2780 | + | 2.68928i | −1.04450 | + | 0.132011i | ||||
\(416\) | −2.68503 | − | 1.95079i | −0.131644 | − | 0.0956453i | ||||
\(417\) | 1.14830 | + | 3.53411i | 0.0562325 | + | 0.173066i | ||||
\(418\) | 0.0688209 | 0.00336614 | ||||||||
\(419\) | −8.37803 | − | 25.7849i | −0.409294 | − | 1.25968i | −0.917256 | − | 0.398297i | \(-0.869601\pi\) |
0.507963 | − | 0.861379i | \(-0.330399\pi\) | |||||||
\(420\) | −3.07967 | + | 2.89233i | −0.150272 | + | 0.141131i | ||||
\(421\) | −4.55275 | + | 14.0119i | −0.221888 | + | 0.682900i | 0.776705 | + | 0.629864i | \(0.216890\pi\) |
−0.998593 | + | 0.0530352i | \(0.983110\pi\) | |||||||
\(422\) | 0.420832 | − | 1.29519i | 0.0204858 | − | 0.0630487i | ||||
\(423\) | 2.72533 | − | 1.98007i | 0.132510 | − | 0.0962743i | ||||
\(424\) | −10.5805 | −0.513837 | ||||||||
\(425\) | −0.503005 | + | 8.00972i | −0.0243993 | + | 0.388529i | ||||
\(426\) | −2.16392 | −0.104842 | ||||||||
\(427\) | 7.67713 | − | 5.57776i | 0.371522 | − | 0.269927i | ||||
\(428\) | 3.30765 | − | 10.1799i | 0.159881 | − | 0.492065i | ||||
\(429\) | 0.0824948 | − | 0.253893i | 0.00398289 | − | 0.0122581i | ||||
\(430\) | 2.33109 | + | 4.95308i | 0.112415 | + | 0.238859i | ||||
\(431\) | −12.7322 | − | 39.1857i | −0.613289 | − | 1.88751i | −0.424265 | − | 0.905538i | \(-0.639467\pi\) |
−0.189025 | − | 0.981972i | \(-0.560533\pi\) | |||||||
\(432\) | −3.34886 | −0.161122 | ||||||||
\(433\) | 7.33108 | + | 22.5627i | 0.352309 | + | 1.08430i | 0.957553 | + | 0.288256i | \(0.0930755\pi\) |
−0.605244 | + | 0.796040i | \(0.706925\pi\) | |||||||
\(434\) | −0.793786 | − | 0.576720i | −0.0381030 | − | 0.0276834i | ||||
\(435\) | 9.03676 | − | 8.48706i | 0.433279 | − | 0.406923i | ||||
\(436\) | 1.04789 | − | 0.761338i | 0.0501849 | − | 0.0364615i | ||||
\(437\) | 0.218180 | + | 0.158517i | 0.0104370 | + | 0.00758291i | ||||
\(438\) | 3.36084 | + | 2.44179i | 0.160587 | + | 0.116673i | ||||
\(439\) | 29.3678 | − | 21.3370i | 1.40165 | − | 1.01836i | 0.407179 | − | 0.913348i | \(-0.366512\pi\) |
0.994471 | − | 0.105010i | \(-0.0334876\pi\) | |||||||
\(440\) | 0.627356 | − | 0.589195i | 0.0299080 | − | 0.0280888i | ||||
\(441\) | −0.809017 | − | 0.587785i | −0.0385246 | − | 0.0279898i | ||||
\(442\) | −0.147934 | − | 0.455295i | −0.00703652 | − | 0.0216562i | ||||
\(443\) | −6.16378 | −0.292850 | −0.146425 | − | 0.989222i | \(-0.546777\pi\) | ||||
−0.146425 | + | 0.989222i | \(0.546777\pi\) | |||||||
\(444\) | 7.05320 | + | 21.7075i | 0.334730 | + | 1.03019i | ||||
\(445\) | −9.35983 | − | 19.8877i | −0.443698 | − | 0.942766i | ||||
\(446\) | −0.469467 | + | 1.44487i | −0.0222299 | + | 0.0684166i | ||||
\(447\) | −2.14406 | + | 6.59873i | −0.101410 | + | 0.312109i | ||||
\(448\) | −4.42326 | + | 3.21369i | −0.208979 | + | 0.151832i | ||||
\(449\) | 36.6453 | 1.72940 | 0.864698 | − | 0.502292i | \(-0.167510\pi\) | ||||
0.864698 | + | 0.502292i | \(0.167510\pi\) | |||||||
\(450\) | 1.54585 | + | 0.611839i | 0.0728720 | + | 0.0288424i | ||||
\(451\) | −2.24871 | −0.105887 | ||||||||
\(452\) | 10.0187 | − | 7.27902i | 0.471241 | − | 0.342376i | ||||
\(453\) | 0.486874 | − | 1.49844i | 0.0228753 | − | 0.0704031i | ||||
\(454\) | 2.42455 | − | 7.46200i | 0.113790 | − | 0.350209i | ||||
\(455\) | 1.46203 | − | 1.37310i | 0.0685410 | − | 0.0643717i | ||||
\(456\) | 0.277927 | + | 0.855373i | 0.0130151 | + | 0.0400565i | ||||
\(457\) | 12.5928 | 0.589065 | 0.294533 | − | 0.955641i | \(-0.404836\pi\) | ||||
0.294533 | + | 0.955641i | \(0.404836\pi\) | |||||||
\(458\) | −0.124487 | − | 0.383131i | −0.00581688 | − | 0.0179025i | ||||
\(459\) | −1.29855 | − | 0.943454i | −0.0606113 | − | 0.0440367i | ||||
\(460\) | 1.62544 | − | 0.205436i | 0.0757866 | − | 0.00957850i | ||||
\(461\) | 22.7786 | − | 16.5496i | 1.06090 | − | 0.770791i | 0.0866478 | − | 0.996239i | \(-0.472385\pi\) |
0.974255 | + | 0.225448i | \(0.0723845\pi\) | |||||||
\(462\) | 0.0800598 | + | 0.0581668i | 0.00372472 | + | 0.00270617i | ||||
\(463\) | 8.70366 | + | 6.32358i | 0.404494 | + | 0.293882i | 0.771369 | − | 0.636388i | \(-0.219572\pi\) |
−0.366875 | + | 0.930270i | \(0.619572\pi\) | |||||||
\(464\) | 15.0210 | − | 10.9134i | 0.697330 | − | 0.506640i | ||||
\(465\) | 1.23603 | − | 6.48150i | 0.0573194 | − | 0.300572i | ||||
\(466\) | 3.86079 | + | 2.80503i | 0.178848 | + | 0.129940i | ||||
\(467\) | −2.56607 | − | 7.89756i | −0.118744 | − | 0.365456i | 0.873966 | − | 0.485988i | \(-0.161540\pi\) |
−0.992709 | + | 0.120532i | \(0.961540\pi\) | |||||||
\(468\) | 1.69480 | 0.0783423 | ||||||||
\(469\) | −0.840130 | − | 2.58565i | −0.0387936 | − | 0.119394i | ||||
\(470\) | −2.48487 | + | 0.314058i | −0.114619 | + | 0.0144864i | ||||
\(471\) | −0.503772 | + | 1.55045i | −0.0232126 | + | 0.0714409i | ||||
\(472\) | −4.24495 | + | 13.0646i | −0.195390 | + | 0.601348i | ||||
\(473\) | −1.77278 | + | 1.28800i | −0.0815124 | + | 0.0592222i | ||||
\(474\) | −1.67020 | −0.0767150 | ||||||||
\(475\) | −0.217938 | + | 3.47039i | −0.00999969 | + | 0.159233i | ||||
\(476\) | −3.03274 | −0.139005 | ||||||||
\(477\) | 6.61881 | − | 4.80885i | 0.303055 | − | 0.220182i | ||||
\(478\) | 0.543018 | − | 1.67124i | 0.0248371 | − | 0.0764407i | ||||
\(479\) | −1.84591 | + | 5.68114i | −0.0843419 | + | 0.259578i | −0.984330 | − | 0.176337i | \(-0.943575\pi\) |
0.899988 | + | 0.435915i | \(0.143575\pi\) | |||||||
\(480\) | 7.25038 | + | 3.98539i | 0.330933 | + | 0.181907i | ||||
\(481\) | −3.34841 | − | 10.3054i | −0.152674 | − | 0.469884i | ||||
\(482\) | −3.51524 | −0.160115 | ||||||||
\(483\) | 0.119833 | + | 0.368808i | 0.00545259 | + | 0.0167814i | ||||
\(484\) | −16.6791 | − | 12.1181i | −0.758140 | − | 0.550821i | ||||
\(485\) | 0.809848 | + | 0.445157i | 0.0367733 | + | 0.0202135i | ||||
\(486\) | −0.269002 | + | 0.195442i | −0.0122022 | + | 0.00886542i | ||||
\(487\) | 26.7916 | + | 19.4652i | 1.21404 | + | 0.882053i | 0.995591 | − | 0.0937954i | \(-0.0299000\pi\) |
0.218450 | + | 0.975848i | \(0.429900\pi\) | |||||||
\(488\) | −9.92852 | − | 7.21349i | −0.449443 | − | 0.326539i | ||||
\(489\) | −7.12442 | + | 5.17619i | −0.322177 | + | 0.234076i | ||||
\(490\) | 0.316607 | + | 0.672725i | 0.0143029 | + | 0.0303906i | ||||
\(491\) | −7.10913 | − | 5.16509i | −0.320831 | − | 0.233097i | 0.415699 | − | 0.909502i | \(-0.363537\pi\) |
−0.736530 | + | 0.676405i | \(0.763537\pi\) | |||||||
\(492\) | −4.41154 | − | 13.5773i | −0.198887 | − | 0.612113i | ||||
\(493\) | 8.89906 | 0.400794 | ||||||||
\(494\) | −0.0640959 | − | 0.197267i | −0.00288381 | − | 0.00887546i | ||||
\(495\) | −0.124663 | + | 0.653712i | −0.00560320 | + | 0.0293822i | ||||
\(496\) | 3.05371 | − | 9.39835i | 0.137116 | − | 0.421998i | ||||
\(497\) | 2.01106 | − | 6.18940i | 0.0902083 | − | 0.277633i | ||||
\(498\) | −2.58014 | + | 1.87458i | −0.115619 | + | 0.0840019i | ||||
\(499\) | 24.4923 | 1.09643 | 0.548214 | − | 0.836338i | \(-0.315308\pi\) | ||||
0.548214 | + | 0.836338i | \(0.315308\pi\) | |||||||
\(500\) | 13.4681 | + | 16.2745i | 0.602313 | + | 0.727816i | ||||
\(501\) | −8.46147 | −0.378031 | ||||||||
\(502\) | 6.29803 | − | 4.57579i | 0.281095 | − | 0.204227i | ||||
\(503\) | −13.3291 | + | 41.0227i | −0.594315 | + | 1.82911i | −0.0362083 | + | 0.999344i | \(0.511528\pi\) |
−0.558107 | + | 0.829769i | \(0.688472\pi\) | |||||||
\(504\) | −0.399639 | + | 1.22996i | −0.0178013 | + | 0.0547869i | ||||
\(505\) | −5.62035 | + | 29.4721i | −0.250102 | + | 1.31149i | ||||
\(506\) | −0.0118586 | − | 0.0364970i | −0.000527179 | − | 0.00162249i | ||||
\(507\) | 12.1954 | 0.541617 | ||||||||
\(508\) | 2.26802 | + | 6.98024i | 0.100627 | + | 0.309698i | ||||
\(509\) | 9.11298 | + | 6.62097i | 0.403926 | + | 0.293469i | 0.771138 | − | 0.636668i | \(-0.219688\pi\) |
−0.367212 | + | 0.930137i | \(0.619688\pi\) | |||||||
\(510\) | 0.508187 | + | 1.07979i | 0.0225029 | + | 0.0478139i | ||||
\(511\) | −10.1076 | + | 7.34362i | −0.447135 | + | 0.324862i | ||||
\(512\) | 17.0321 | + | 12.3745i | 0.752719 | + | 0.546882i | ||||
\(513\) | −0.562628 | − | 0.408773i | −0.0248406 | − | 0.0180478i | ||||
\(514\) | −0.929135 | + | 0.675056i | −0.0409824 | + | 0.0297754i | ||||
\(515\) | 38.7755 | + | 21.3141i | 1.70865 | + | 0.939212i | ||||
\(516\) | −11.2546 | − | 8.17693i | −0.495455 | − | 0.359969i | ||||
\(517\) | −0.309815 | − | 0.953513i | −0.0136257 | − | 0.0419354i | ||||
\(518\) | 4.01670 | 0.176484 | ||||||||
\(519\) | 1.67519 | + | 5.15569i | 0.0735325 | + | 0.226310i | ||||
\(520\) | −2.27314 | − | 1.24950i | −0.0996839 | − | 0.0547942i | ||||
\(521\) | 3.36735 | − | 10.3636i | 0.147526 | − | 0.454039i | −0.849801 | − | 0.527104i | \(-0.823278\pi\) |
0.997327 | + | 0.0730648i | \(0.0232780\pi\) | |||||||
\(522\) | 0.569670 | − | 1.75326i | 0.0249338 | − | 0.0767382i | ||||
\(523\) | 25.6010 | − | 18.6002i | 1.11945 | − | 0.813331i | 0.135328 | − | 0.990801i | \(-0.456791\pi\) |
0.984126 | + | 0.177469i | \(0.0567911\pi\) | |||||||
\(524\) | −24.5950 | −1.07444 | ||||||||
\(525\) | −3.18668 | + | 3.85293i | −0.139078 | + | 0.168156i | ||||
\(526\) | −7.82501 | −0.341187 | ||||||||
\(527\) | 3.83184 | − | 2.78399i | 0.166918 | − | 0.121273i | ||||
\(528\) | −0.307991 | + | 0.947899i | −0.0134036 | + | 0.0412520i | ||||
\(529\) | −7.06092 | + | 21.7313i | −0.306997 | + | 0.944838i | ||||
\(530\) | −6.03482 | + | 0.762728i | −0.262136 | + | 0.0331308i | ||||
\(531\) | −3.28237 | − | 10.1021i | −0.142443 | − | 0.438393i | ||||
\(532\) | −1.31400 | −0.0569693 | ||||||||
\(533\) | 2.09432 | + | 6.44565i | 0.0907150 | + | 0.279192i | ||||
\(534\) | −2.64424 | − | 1.92116i | −0.114428 | − | 0.0831365i | ||||
\(535\) | 2.37293 | − | 12.4432i | 0.102591 | − | 0.537967i | ||||
\(536\) | −2.84451 | + | 2.06666i | −0.122864 | + | 0.0892660i | ||||
\(537\) | −13.7778 | − | 10.0101i | −0.594554 | − | 0.431969i | ||||
\(538\) | −5.50456 | − | 3.99930i | −0.237318 | − | 0.172422i | ||||
\(539\) | −0.240778 | + | 0.174935i | −0.0103710 | + | 0.00753499i | ||||
\(540\) | −4.19157 | + | 0.529763i | −0.180377 | + | 0.0227974i | ||||
\(541\) | −4.85115 | − | 3.52457i | −0.208567 | − | 0.151533i | 0.478598 | − | 0.878034i | \(-0.341145\pi\) |
−0.687165 | + | 0.726501i | \(0.741145\pi\) | |||||||
\(542\) | 1.33656 | + | 4.11351i | 0.0574102 | + | 0.176690i | ||||
\(543\) | −17.9636 | −0.770892 | ||||||||
\(544\) | 1.83523 | + | 5.64825i | 0.0786848 | + | 0.242167i | ||||
\(545\) | 1.11737 | − | 1.04940i | 0.0478627 | − | 0.0449513i | ||||
\(546\) | 0.0921652 | − | 0.283655i | 0.00394431 | − | 0.0121393i | ||||
\(547\) | 1.02995 | − | 3.16986i | 0.0440374 | − | 0.135533i | −0.926620 | − | 0.375998i | \(-0.877300\pi\) |
0.970658 | + | 0.240465i | \(0.0772999\pi\) | |||||||
\(548\) | 16.8937 | − | 12.2740i | 0.721663 | − | 0.524319i | ||||
\(549\) | 9.48945 | 0.405000 | ||||||||
\(550\) | 0.315351 | − | 0.381284i | 0.0134466 | − | 0.0162580i | ||||
\(551\) | 3.85572 | 0.164259 | ||||||||
\(552\) | 0.405731 | − | 0.294780i | 0.0172690 | − | 0.0125467i | ||||
\(553\) | 1.55222 | − | 4.77724i | 0.0660071 | − | 0.203149i | ||||
\(554\) | −3.01314 | + | 9.27350i | −0.128016 | + | 0.393993i | ||||
\(555\) | 11.5025 | + | 24.4405i | 0.488255 | + | 1.03744i | ||||
\(556\) | 2.16965 | + | 6.67748i | 0.0920135 | + | 0.283188i | ||||
\(557\) | 34.7824 | 1.47378 | 0.736889 | − | 0.676014i | \(-0.236294\pi\) | ||||
0.736889 | + | 0.676014i | \(0.236294\pi\) | |||||||
\(558\) | −0.303199 | − | 0.933152i | −0.0128355 | − | 0.0395035i | ||||
\(559\) | 5.34296 | + | 3.88189i | 0.225983 | + | 0.164186i | ||||
\(560\) | −5.45843 | + | 5.12640i | −0.230661 | + | 0.216630i | ||||
\(561\) | −0.386472 | + | 0.280788i | −0.0163169 | + | 0.0118549i | ||||
\(562\) | 2.37450 | + | 1.72517i | 0.100162 | + | 0.0727720i | ||||
\(563\) | −16.8742 | − | 12.2598i | −0.711162 | − | 0.516689i | 0.172386 | − | 0.985029i | \(-0.444852\pi\) |
−0.883548 | + | 0.468340i | \(0.844852\pi\) | |||||||
\(564\) | 5.14935 | − | 3.74122i | 0.216827 | − | 0.157534i | ||||
\(565\) | 10.6830 | − | 10.0331i | 0.449435 | − | 0.422097i | ||||
\(566\) | 6.24310 | + | 4.53587i | 0.262417 | + | 0.190657i | ||||
\(567\) | −0.309017 | − | 0.951057i | −0.0129775 | − | 0.0399406i | ||||
\(568\) | −8.41643 | −0.353146 | ||||||||
\(569\) | −9.47397 | − | 29.1579i | −0.397169 | − | 1.22236i | −0.927259 | − | 0.374420i | \(-0.877842\pi\) |
0.530090 | − | 0.847942i | \(-0.322158\pi\) | |||||||
\(570\) | 0.220183 | + | 0.467844i | 0.00922247 | + | 0.0195958i | ||||
\(571\) | 7.67700 | − | 23.6274i | 0.321273 | − | 0.988775i | −0.651823 | − | 0.758371i | \(-0.725995\pi\) |
0.973095 | − | 0.230404i | \(-0.0740047\pi\) | |||||||
\(572\) | 0.155869 | − | 0.479716i | 0.00651721 | − | 0.0200579i | ||||
\(573\) | −4.76382 | + | 3.46112i | −0.199012 | + | 0.144590i | ||||
\(574\) | −2.51231 | −0.104862 | ||||||||
\(575\) | 1.87797 | − | 0.482411i | 0.0783167 | − | 0.0201179i | ||||
\(576\) | −5.46745 | −0.227810 | ||||||||
\(577\) | 11.9152 | − | 8.65687i | 0.496035 | − | 0.360390i | −0.311466 | − | 0.950257i | \(-0.600820\pi\) |
0.807500 | + | 0.589867i | \(0.200820\pi\) | |||||||
\(578\) | 1.48203 | − | 4.56121i | 0.0616442 | − | 0.189721i | ||||
\(579\) | 2.40272 | − | 7.39481i | 0.0998536 | − | 0.307318i | ||||
\(580\) | 17.0744 | − | 16.0358i | 0.708976 | − | 0.665850i | ||||
\(581\) | −2.96394 | − | 9.12206i | −0.122965 | − | 0.378447i | ||||
\(582\) | 0.137419 | 0.00569621 | ||||||||
\(583\) | −0.752425 | − | 2.31572i | −0.0311622 | − | 0.0959075i | ||||
\(584\) | 13.0718 | + | 9.49720i | 0.540914 | + | 0.392997i | ||||
\(585\) | 1.98989 | − | 0.251498i | 0.0822720 | − | 0.0103982i | ||||
\(586\) | −1.74461 | + | 1.26753i | −0.0720692 | + | 0.0523614i | ||||
\(587\) | 33.5597 | + | 24.3825i | 1.38516 | + | 1.00637i | 0.996377 | + | 0.0850427i | \(0.0271027\pi\) |
0.388778 | + | 0.921331i | \(0.372897\pi\) | |||||||
\(588\) | −1.52859 | − | 1.11059i | −0.0630380 | − | 0.0457998i | ||||
\(589\) | 1.66023 | − | 1.20623i | 0.0684086 | − | 0.0497018i | ||||
\(590\) | −1.47939 | + | 7.75768i | −0.0609057 | + | 0.319379i | ||||
\(591\) | −0.00948946 | − | 0.00689450i | −0.000390344 | − | 0.000283602i | ||||
\(592\) | 12.5012 | + | 38.4746i | 0.513795 | + | 1.58130i | ||||
\(593\) | −8.17093 | −0.335540 | −0.167770 | − | 0.985826i | \(-0.553657\pi\) | ||||
−0.167770 | + | 0.985826i | \(0.553657\pi\) | |||||||
\(594\) | 0.0305801 | + | 0.0941159i | 0.00125472 | + | 0.00386162i | ||||
\(595\) | −3.56079 | + | 0.450040i | −0.145978 | + | 0.0184498i | ||||
\(596\) | −4.05107 | + | 12.4679i | −0.165938 | + | 0.510705i | ||||
\(597\) | 1.33340 | − | 4.10378i | 0.0545724 | − | 0.167957i | ||||
\(598\) | −0.0935700 | + | 0.0679826i | −0.00382636 | + | 0.00278001i | ||||
\(599\) | 12.8995 | 0.527059 | 0.263529 | − | 0.964651i | \(-0.415113\pi\) | ||||
0.263529 | + | 0.964651i | \(0.415113\pi\) | |||||||
\(600\) | 6.01248 | + | 2.37971i | 0.245459 | + | 0.0971513i | ||||
\(601\) | −19.7750 | −0.806639 | −0.403320 | − | 0.915059i | \(-0.632144\pi\) | ||||
−0.403320 | + | 0.915059i | \(0.632144\pi\) | |||||||
\(602\) | −1.98059 | + | 1.43898i | −0.0807228 | + | 0.0586485i | ||||
\(603\) | 0.840130 | − | 2.58565i | 0.0342127 | − | 0.105296i | ||||
\(604\) | 0.919920 | − | 2.83122i | 0.0374310 | − | 0.115201i | ||||
\(605\) | −21.3814 | − | 11.7529i | −0.869278 | − | 0.477824i | ||||
\(606\) | 1.37868 | + | 4.24315i | 0.0560051 | + | 0.172366i | ||||
\(607\) | 13.3412 | 0.541501 | 0.270750 | − | 0.962650i | \(-0.412728\pi\) | ||||
0.270750 | + | 0.962650i | \(0.412728\pi\) | |||||||
\(608\) | 0.795155 | + | 2.44723i | 0.0322478 | + | 0.0992485i | ||||
\(609\) | 4.48539 | + | 3.25882i | 0.181757 | + | 0.132054i | ||||
\(610\) | −6.18293 | − | 3.39863i | −0.250340 | − | 0.137607i | ||||
\(611\) | −2.44459 | + | 1.77610i | −0.0988974 | + | 0.0718532i | ||||
\(612\) | −2.45354 | − | 1.78260i | −0.0991784 | − | 0.0720574i | ||||
\(613\) | −7.55891 | − | 5.49187i | −0.305302 | − | 0.221815i | 0.424576 | − | 0.905392i | \(-0.360423\pi\) |
−0.729878 | + | 0.683578i | \(0.760423\pi\) | |||||||
\(614\) | 7.20258 | − | 5.23298i | 0.290672 | − | 0.211186i | ||||
\(615\) | −7.19444 | − | 15.2867i | −0.290108 | − | 0.616418i | ||||
\(616\) | 0.311388 | + | 0.226236i | 0.0125462 | + | 0.00911533i | ||||
\(617\) | −10.0262 | − | 30.8575i | −0.403640 | − | 1.24228i | −0.922025 | − | 0.387130i | \(-0.873467\pi\) |
0.518385 | − | 0.855147i | \(-0.326533\pi\) | |||||||
\(618\) | 6.57963 | 0.264671 | ||||||||
\(619\) | −7.46869 | − | 22.9863i | −0.300192 | − | 0.923895i | −0.981428 | − | 0.191832i | \(-0.938557\pi\) |
0.681236 | − | 0.732064i | \(-0.261443\pi\) | |||||||
\(620\) | 2.33540 | − | 12.2464i | 0.0937919 | − | 0.491828i | ||||
\(621\) | −0.119833 | + | 0.368808i | −0.00480874 | + | 0.0147998i | ||||
\(622\) | −0.358537 | + | 1.10346i | −0.0143760 | + | 0.0442448i | ||||
\(623\) | 7.95249 | − | 5.77782i | 0.318610 | − | 0.231483i | ||||
\(624\) | 3.00389 | 0.120252 | ||||||||
\(625\) | 18.2281 | + | 17.1095i | 0.729126 | + | 0.684380i | ||||
\(626\) | −4.57086 | −0.182688 | ||||||||
\(627\) | −0.167448 | + | 0.121658i | −0.00668722 | + | 0.00485855i | ||||
\(628\) | −0.951846 | + | 2.92948i | −0.0379828 | + | 0.116899i | ||||
\(629\) | −5.99177 | + | 18.4408i | −0.238908 | + | 0.735282i | ||||
\(630\) | −0.139277 | + | 0.730343i | −0.00554892 | + | 0.0290976i | ||||
\(631\) | −13.2902 | − | 40.9030i | −0.529074 | − | 1.62832i | −0.756117 | − | 0.654436i | \(-0.772906\pi\) |
0.227044 | − | 0.973885i | \(-0.427094\pi\) | |||||||
\(632\) | −6.49615 | −0.258403 | ||||||||
\(633\) | 1.26564 | + | 3.89524i | 0.0503047 | + | 0.154822i | ||||
\(634\) | −7.78645 | − | 5.65719i | −0.309240 | − | 0.224676i | ||||
\(635\) | 3.69873 | + | 7.85904i | 0.146780 | + | 0.311876i | ||||
\(636\) | 12.5058 | − | 9.08603i | 0.495889 | − | 0.360285i | ||||
\(637\) | 0.725677 | + | 0.527236i | 0.0287524 | + | 0.0208898i | ||||
\(638\) | −0.443871 | − | 0.322491i | −0.0175730 | − | 0.0127675i | ||||
\(639\) | 5.26502 | − | 3.82526i | 0.208281 | − | 0.151325i | ||||
\(640\) | 18.0631 | + | 9.92893i | 0.714007 | + | 0.392475i | ||||
\(641\) | 32.1665 | + | 23.3703i | 1.27050 | + | 0.923073i | 0.999222 | − | 0.0394284i | \(-0.0125537\pi\) |
0.271278 | + | 0.962501i | \(0.412554\pi\) | |||||||
\(642\) | −0.582084 | − | 1.79147i | −0.0229730 | − | 0.0707037i | ||||
\(643\) | −49.7339 | −1.96131 | −0.980657 | − | 0.195736i | \(-0.937290\pi\) | ||||
−0.980657 | + | 0.195736i | \(0.937290\pi\) | |||||||
\(644\) | 0.226417 | + | 0.696841i | 0.00892210 | + | 0.0274594i | ||||
\(645\) | −14.4276 | − | 7.93054i | −0.568085 | − | 0.312265i | ||||
\(646\) | −0.114696 | + | 0.352997i | −0.00451264 | + | 0.0138885i | ||||
\(647\) | −8.62890 | + | 26.5570i | −0.339237 | + | 1.04406i | 0.625360 | + | 0.780337i | \(0.284952\pi\) |
−0.964597 | + | 0.263728i | \(0.915048\pi\) | |||||||
\(648\) | −1.04627 | + | 0.760159i | −0.0411013 | + | 0.0298619i | ||||
\(649\) | −3.16128 | −0.124091 | ||||||||
\(650\) | −1.38661 | − | 0.548812i | −0.0543871 | − | 0.0215262i | ||||
\(651\) | 2.95085 | 0.115653 | ||||||||
\(652\) | −13.4612 | + | 9.78011i | −0.527180 | + | 0.383019i | ||||
\(653\) | 3.51349 | − | 10.8134i | 0.137494 | − | 0.423162i | −0.858476 | − | 0.512854i | \(-0.828588\pi\) |
0.995970 | + | 0.0896920i | \(0.0285883\pi\) | |||||||
\(654\) | 0.0704379 | − | 0.216786i | 0.00275434 | − | 0.00847698i | ||||
\(655\) | −28.8773 | + | 3.64974i | −1.12833 | + | 0.142607i | ||||
\(656\) | −7.81906 | − | 24.0646i | −0.305283 | − | 0.939564i | ||||
\(657\) | −12.4937 | −0.487426 | ||||||||
\(658\) | −0.346133 | − | 1.06529i | −0.0134937 | − | 0.0415292i | ||||
\(659\) | 14.5436 | + | 10.5666i | 0.566540 | + | 0.411615i | 0.833847 | − | 0.551996i | \(-0.186134\pi\) |
−0.267307 | + | 0.963611i | \(0.586134\pi\) | |||||||
\(660\) | −0.235544 | + | 1.23515i | −0.00916853 | + | 0.0480781i | ||||
\(661\) | −36.4101 | + | 26.4535i | −1.41619 | + | 1.02892i | −0.423802 | + | 0.905755i | \(0.639305\pi\) |
−0.992386 | + | 0.123166i | \(0.960695\pi\) | |||||||
\(662\) | 6.45925 | + | 4.69292i | 0.251046 | + | 0.182396i | ||||
\(663\) | 1.16479 | + | 0.846266i | 0.0452365 | + | 0.0328662i | ||||
\(664\) | −10.0353 | + | 7.29107i | −0.389445 | + | 0.282948i | ||||
\(665\) | −1.54279 | + | 0.194990i | −0.0598269 | + | 0.00756139i | ||||
\(666\) | 3.24958 | + | 2.36096i | 0.125919 | + | 0.0914852i | ||||
\(667\) | −0.664384 | − | 2.04476i | −0.0257250 | − | 0.0791735i | ||||
\(668\) | −15.9875 | −0.618573 | ||||||||
\(669\) | −1.41191 | − | 4.34540i | −0.0545875 | − | 0.168003i | ||||
\(670\) | −1.47344 | + | 1.38381i | −0.0569240 | + | 0.0534614i | ||||
\(671\) | 0.872734 | − | 2.68600i | 0.0336915 | − | 0.103692i | ||||
\(672\) | −1.14337 | + | 3.51894i | −0.0441066 | + | 0.135746i | ||||
\(673\) | 0.298345 | − | 0.216761i | 0.0115004 | − | 0.00835551i | −0.582020 | − | 0.813174i | \(-0.697738\pi\) |
0.593521 | + | 0.804819i | \(0.297738\pi\) | |||||||
\(674\) | −0.286295 | −0.0110277 | ||||||||
\(675\) | −4.84277 | + | 1.24401i | −0.186398 | + | 0.0478818i | ||||
\(676\) | 23.0425 | 0.886250 | ||||||||
\(677\) | −22.4379 | + | 16.3021i | −0.862358 | + | 0.626540i | −0.928525 | − | 0.371269i | \(-0.878923\pi\) |
0.0661674 | + | 0.997809i | \(0.478923\pi\) | |||||||
\(678\) | 0.673445 | − | 2.07265i | 0.0258635 | − | 0.0795997i | ||||
\(679\) | −0.127712 | + | 0.393057i | −0.00490113 | + | 0.0150841i | ||||
\(680\) | 1.97656 | + | 4.19978i | 0.0757977 | + | 0.161054i | ||||
\(681\) | 7.29176 | + | 22.4417i | 0.279421 | + | 0.859970i | ||||
\(682\) | −0.292014 | −0.0111818 | ||||||||
\(683\) | 9.43557 | + | 29.0397i | 0.361042 | + | 1.11117i | 0.952423 | + | 0.304780i | \(0.0985831\pi\) |
−0.591381 | + | 0.806393i | \(0.701417\pi\) | |||||||
\(684\) | −1.06305 | − | 0.772352i | −0.0406468 | − | 0.0295316i | ||||
\(685\) | 18.0138 | − | 16.9180i | 0.688270 | − | 0.646403i | ||||
\(686\) | −0.269002 | + | 0.195442i | −0.0102706 | + | 0.00746200i | ||||
\(687\) | 0.980167 | + | 0.712133i | 0.0373957 | + | 0.0271696i | ||||
\(688\) | −19.9477 | − | 14.4929i | −0.760500 | − | 0.552536i | ||||
\(689\) | −5.93699 | + | 4.31347i | −0.226181 | + | 0.164330i | ||||
\(690\) | 0.210166 | − | 0.197382i | 0.00800090 | − | 0.00751421i | ||||
\(691\) | −4.56670 | − | 3.31790i | −0.173725 | − | 0.126219i | 0.497525 | − | 0.867450i | \(-0.334242\pi\) |
−0.671250 | + | 0.741231i | \(0.734242\pi\) | |||||||
\(692\) | 3.16516 | + | 9.74138i | 0.120322 | + | 0.370312i | ||||
\(693\) | −0.297617 | −0.0113055 | ||||||||
\(694\) | −2.37267 | − | 7.30233i | −0.0900653 | − | 0.277192i | ||||
\(695\) | 3.53831 | + | 7.51817i | 0.134216 | + | 0.285180i | ||||
\(696\) | 2.21570 | − | 6.81921i | 0.0839857 | − | 0.258482i | ||||
\(697\) | 3.74765 | − | 11.5341i | 0.141952 | − | 0.436884i | ||||
\(698\) | −8.34326 | + | 6.06173i | −0.315797 | + | 0.229440i | ||||
\(699\) | −14.3523 | −0.542852 | ||||||||
\(700\) | −6.02104 | + | 7.27989i | −0.227574 | + | 0.275154i | ||||
\(701\) | −19.7121 | −0.744515 | −0.372258 | − | 0.928129i | \(-0.621416\pi\) | ||||
−0.372258 | + | 0.928129i | \(0.621416\pi\) | |||||||
\(702\) | 0.241292 | − | 0.175309i | 0.00910696 | − | 0.00661660i | ||||
\(703\) | −2.59607 | + | 7.98988i | −0.0979127 | + | 0.301344i | ||||
\(704\) | −0.502835 | + | 1.54757i | −0.0189513 | + | 0.0583261i | ||||
\(705\) | 5.49076 | − | 5.15676i | 0.206794 | − | 0.194215i | ||||
\(706\) | −0.970693 | − | 2.98749i | −0.0365325 | − | 0.112436i | ||||
\(707\) | −13.4179 | −0.504630 | ||||||||
\(708\) | −6.20184 | − | 19.0873i | −0.233079 | − | 0.717345i | ||||
\(709\) | 26.7134 | + | 19.4084i | 1.00324 | + | 0.728899i | 0.962781 | − | 0.270282i | \(-0.0871169\pi\) |
0.0404623 | + | 0.999181i | \(0.487117\pi\) | |||||||
\(710\) | −4.80048 | + | 0.606722i | −0.180159 | + | 0.0227699i | ||||
\(711\) | 4.06376 | − | 2.95250i | 0.152403 | − | 0.110727i | ||||
\(712\) | −10.2846 | − | 7.47222i | −0.385433 | − | 0.280033i | ||||
\(713\) | −0.925762 | − | 0.672606i | −0.0346701 | − | 0.0251893i | ||||
\(714\) | −0.431776 | + | 0.313703i | −0.0161588 | + | 0.0117401i | ||||
\(715\) | 0.111821 | − | 0.586371i | 0.00418188 | − | 0.0219290i | ||||
\(716\) | −26.0323 | − | 18.9135i | −0.972871 | − | 0.706832i | ||||
\(717\) | 1.63311 | + | 5.02620i | 0.0609897 | + | 0.187707i | ||||
\(718\) | 5.37138 | 0.200458 | ||||||||
\(719\) | −1.02799 | − | 3.16383i | −0.0383376 | − | 0.117991i | 0.930056 | − | 0.367417i | \(-0.119758\pi\) |
−0.968394 | + | 0.249426i | \(0.919758\pi\) | |||||||
\(720\) | −7.42919 | + | 0.938958i | −0.276870 | + | 0.0349929i | ||||
\(721\) | −6.11484 | + | 18.8195i | −0.227729 | + | 0.700876i | ||||
\(722\) | 1.90255 | − | 5.85545i | 0.0708056 | − | 0.217917i | ||||
\(723\) | 8.55292 | − | 6.21406i | 0.318087 | − | 0.231103i | ||||
\(724\) | −33.9412 | −1.26141 | ||||||||
\(725\) | 17.6677 | − | 21.3616i | 0.656162 | − | 0.793350i | ||||
\(726\) | −3.62811 | −0.134652 | ||||||||
\(727\) | −8.88237 | + | 6.45342i | −0.329429 | + | 0.239344i | −0.740188 | − | 0.672400i | \(-0.765264\pi\) |
0.410759 | + | 0.911744i | \(0.365264\pi\) | |||||||
\(728\) | 0.358471 | − | 1.10326i | 0.0132858 | − | 0.0408895i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 8.14038 | + | 4.47460i | 0.301289 | + | 0.165612i | ||||
\(731\) | −3.65193 | − | 11.2395i | −0.135072 | − | 0.415708i | ||||
\(732\) | 17.9298 | 0.662703 | ||||||||
\(733\) | −2.79306 | − | 8.59615i | −0.103164 | − | 0.317506i | 0.886131 | − | 0.463434i | \(-0.153383\pi\) |
−0.989295 | + | 0.145929i | \(0.953383\pi\) | |||||||
\(734\) | 2.93120 | + | 2.12964i | 0.108193 | + | 0.0786065i | ||||
\(735\) | −1.95954 | − | 1.07712i | −0.0722788 | − | 0.0397302i | ||||
\(736\) | 1.16080 | − | 0.843371i | 0.0427877 | − | 0.0310871i | ||||
\(737\) | −0.654606 | − | 0.475599i | −0.0241127 | − | 0.0175189i | ||||
\(738\) | −2.03250 | − | 1.47670i | −0.0748174 | − | 0.0543580i | ||||
\(739\) | 36.4386 | − | 26.4742i | 1.34041 | − | 0.973868i | 0.340985 | − | 0.940069i | \(-0.389239\pi\) |
0.999429 | − | 0.0337992i | \(-0.0107607\pi\) | |||||||
\(740\) | 21.7333 | + | 46.1788i | 0.798933 | + | 1.69757i | ||||
\(741\) | 0.504670 | + | 0.366664i | 0.0185395 | + | 0.0134697i | ||||
\(742\) | −0.840627 | − | 2.58718i | −0.0308604 | − | 0.0949785i | ||||
\(743\) | −38.3473 | −1.40682 | −0.703412 | − | 0.710782i | \(-0.748341\pi\) | ||||
−0.703412 | + | 0.710782i | \(0.748341\pi\) | |||||||
\(744\) | −1.17928 | − | 3.62944i | −0.0432344 | − | 0.133062i | ||||
\(745\) | −2.90626 | + | 15.2399i | −0.106477 | + | 0.558347i | ||||
\(746\) | 2.04269 | − | 6.28674i | 0.0747880 | − | 0.230174i | ||||
\(747\) | 2.96394 | − | 9.12206i | 0.108445 | − | 0.333759i | ||||
\(748\) | −0.730216 | + | 0.530533i | −0.0266993 | + | 0.0193982i | ||||
\(749\) | 5.66506 | 0.206997 | ||||||||
\(750\) | 3.60089 | + | 0.923889i | 0.131486 | + | 0.0337357i | ||||
\(751\) | −29.0152 | −1.05878 | −0.529389 | − | 0.848379i | \(-0.677579\pi\) | ||||
−0.529389 | + | 0.848379i | \(0.677579\pi\) | |||||||
\(752\) | 9.12677 | − | 6.63099i | 0.332819 | − | 0.241807i | ||||
\(753\) | −7.23488 | + | 22.2667i | −0.263654 | + | 0.811442i | ||||
\(754\) | −0.510986 | + | 1.57265i | −0.0186090 | + | 0.0572727i | ||||
\(755\) | 0.659956 | − | 3.46069i | 0.0240183 | − | 0.125947i | ||||
\(756\) | −0.583869 | − | 1.79696i | −0.0212351 | − | 0.0653550i | ||||
\(757\) | −27.6716 | −1.00574 | −0.502871 | − | 0.864361i | \(-0.667723\pi\) | ||||
−0.502871 | + | 0.864361i | \(0.667723\pi\) | |||||||
\(758\) | −2.27423 | − | 6.99937i | −0.0826039 | − | 0.254229i | ||||
\(759\) | 0.0933706 | + | 0.0678377i | 0.00338914 | + | 0.00246235i | ||||
\(760\) | 0.856390 | + | 1.81965i | 0.0310645 | + | 0.0660057i | ||||
\(761\) | −27.2220 | + | 19.7780i | −0.986798 | + | 0.716951i | −0.959218 | − | 0.282669i | \(-0.908780\pi\) |
−0.0275805 | + | 0.999620i | \(0.508780\pi\) | |||||||
\(762\) | 1.04493 | + | 0.759185i | 0.0378538 | + | 0.0275024i | ||||
\(763\) | 0.554604 | + | 0.402943i | 0.0200780 | + | 0.0145875i | ||||
\(764\) | −9.00096 | + | 6.53958i | −0.325643 | + | 0.236594i | ||||
\(765\) | −3.14526 | − | 1.72889i | −0.113717 | − | 0.0625081i | ||||
\(766\) | 4.88809 | + | 3.55140i | 0.176614 | + | 0.128317i | ||||
\(767\) | 2.94424 | + | 9.06144i | 0.106310 | + | 0.327190i | ||||
\(768\) | −7.86986 | −0.283979 | ||||||||
\(769\) | −5.39569 | − | 16.6062i | −0.194574 | − | 0.598836i | −0.999981 | − | 0.00611464i | \(-0.998054\pi\) |
0.805408 | − | 0.592721i | \(-0.201946\pi\) | |||||||
\(770\) | 0.193915 | + | 0.106591i | 0.00698822 | + | 0.00384128i | ||||
\(771\) | 1.06735 | − | 3.28495i | 0.0384395 | − | 0.118305i | ||||
\(772\) | 4.53980 | − | 13.9721i | 0.163391 | − | 0.502865i | ||||
\(773\) | −27.8016 | + | 20.1990i | −0.999953 | + | 0.726508i | −0.962078 | − | 0.272774i | \(-0.912059\pi\) |
−0.0378747 | + | 0.999282i | \(0.512059\pi\) | |||||||
\(774\) | −2.44814 | −0.0879967 | ||||||||
\(775\) | 0.924735 | − | 14.7253i | 0.0332175 | − | 0.528947i | ||||
\(776\) | 0.534484 | 0.0191868 | ||||||||
\(777\) | −9.77301 | + | 7.10051i | −0.350605 | + | 0.254729i | ||||
\(778\) | 2.49142 | − | 7.66782i | 0.0893219 | − | 0.274905i | ||||
\(779\) | 1.62375 | − | 4.99740i | 0.0581770 | − | 0.179050i | ||||
\(780\) | 3.75978 | − | 0.475191i | 0.134622 | − | 0.0170146i | ||||
\(781\) | −0.598526 | − | 1.84207i | −0.0214170 | − | 0.0659146i | ||||
\(782\) | 0.206964 | 0.00740102 | ||||||||
\(783\) | 1.71326 | + | 5.27289i | 0.0612271 | + | 0.188438i | ||||
\(784\) | −2.70929 | − | 1.96841i | −0.0967603 | − | 0.0703005i | ||||
\(785\) | −0.682860 | + | 3.58080i | −0.0243723 | + | 0.127804i | ||||
\(786\) | −3.50162 | + | 2.54408i | −0.124899 | + | 0.0907442i | ||||
\(787\) | −3.92827 | − | 2.85405i | −0.140028 | − | 0.101736i | 0.515566 | − | 0.856850i | \(-0.327582\pi\) |
−0.655594 | + | 0.755114i | \(0.727582\pi\) | |||||||
\(788\) | −0.0179298 | − | 0.0130267i | −0.000638722 | − | 0.000464059i | ||||
\(789\) | 19.0390 | − | 13.8326i | 0.677806 | − | 0.492455i | ||||
\(790\) | −3.70521 | + | 0.468293i | −0.131825 | + | 0.0166611i | ||||
\(791\) | 5.30248 | + | 3.85248i | 0.188534 | + | 0.136978i | ||||
\(792\) | 0.118940 | + | 0.366058i | 0.00422633 | + | 0.0130073i | ||||
\(793\) | −8.51191 | −0.302267 | ||||||||
\(794\) | −2.19754 | − | 6.76334i | −0.0779879 | − | 0.240022i | ||||
\(795\) | 13.3350 | − | 12.5238i | 0.472943 | − | 0.444175i | ||||
\(796\) | 2.51938 | − | 7.75385i | 0.0892970 | − | 0.274828i | ||||
\(797\) | −15.0371 | + | 46.2794i | −0.532641 | + | 1.63930i | 0.216050 | + | 0.976382i | \(0.430683\pi\) |
−0.748691 | + | 0.662919i | \(0.769317\pi\) | |||||||
\(798\) | −0.187077 | + | 0.135919i | −0.00662244 | + | 0.00481149i | ||||
\(799\) | 5.40710 | 0.191289 | ||||||||
\(800\) | 17.2018 | + | 6.80839i | 0.608176 | + | 0.240713i | ||||
\(801\) | 9.82981 | 0.347319 | ||||||||
\(802\) | −7.17618 | + | 5.21380i | −0.253400 | + | 0.184106i | ||||
\(803\) | −1.14903 | + | 3.53635i | −0.0405484 | + | 0.124795i | ||||
\(804\) | 1.58738 | − | 4.88544i | 0.0559824 | − | 0.172296i | ||||
\(805\) | 0.369247 | + | 0.784573i | 0.0130142 | + | 0.0276526i | ||||
\(806\) | 0.271966 | + | 0.837025i | 0.00957959 | + | 0.0294829i | ||||
\(807\) | 20.4629 | 0.720327 | ||||||||
\(808\) | 5.36230 | + | 16.5035i | 0.188645 | + | 0.580590i | ||||
\(809\) | −41.9081 | − | 30.4480i | −1.47341 | − | 1.07050i | −0.979607 | − | 0.200922i | \(-0.935606\pi\) |
−0.493803 | − | 0.869574i | \(-0.664394\pi\) | |||||||
\(810\) | −0.541962 | + | 0.508995i | −0.0190426 | + | 0.0178843i | ||||
\(811\) | 21.1248 | − | 15.3480i | 0.741791 | − | 0.538943i | −0.151481 | − | 0.988460i | \(-0.548404\pi\) |
0.893271 | + | 0.449518i | \(0.148404\pi\) | |||||||
\(812\) | 8.47487 | + | 6.15735i | 0.297410 | + | 0.216081i | ||||
\(813\) | −10.5236 | − | 7.64586i | −0.369080 | − | 0.268152i | ||||
\(814\) | 0.967130 | − | 0.702661i | 0.0338979 | − | 0.0246283i | ||||
\(815\) | −14.3536 | + | 13.4805i | −0.502786 | + | 0.472202i | ||||
\(816\) | −4.34868 | − | 3.15950i | −0.152234 | − | 0.110605i | ||||
\(817\) | −1.58228 | − | 4.86977i | −0.0553571 | − | 0.170372i | ||||
\(818\) | −6.41647 | −0.224346 | ||||||||
\(819\) | 0.277184 | + | 0.853085i | 0.00968560 | + | 0.0298092i | ||||
\(820\) | −13.5935 | − | 28.8833i | −0.474704 | − | 1.00865i | ||||
\(821\) | −13.9219 | + | 42.8471i | −0.485876 | + | 1.49537i | 0.344832 | + | 0.938665i | \(0.387936\pi\) |
−0.830708 | + | 0.556709i | \(0.812064\pi\) | |||||||
\(822\) | 1.13557 | − | 3.49493i | 0.0396076 | − | 0.121900i | ||||
\(823\) | 24.0345 | − | 17.4621i | 0.837790 | − | 0.608690i | −0.0839625 | − | 0.996469i | \(-0.526758\pi\) |
0.921752 | + | 0.387779i | \(0.126758\pi\) | |||||||
\(824\) | 25.5911 | 0.891507 | ||||||||
\(825\) | −0.0932671 | + | 1.48516i | −0.00324714 | + | 0.0517067i | ||||
\(826\) | −3.53186 | −0.122889 | ||||||||
\(827\) | −23.6449 | + | 17.1790i | −0.822212 | + | 0.597372i | −0.917345 | − | 0.398092i | \(-0.869672\pi\) |
0.0951332 | + | 0.995465i | \(0.469672\pi\) | |||||||
\(828\) | −0.226417 | + | 0.696841i | −0.00786855 | + | 0.0242169i | ||||
\(829\) | 15.5003 | − | 47.7051i | 0.538349 | − | 1.65687i | −0.197951 | − | 0.980212i | \(-0.563429\pi\) |
0.736300 | − | 0.676655i | \(-0.236571\pi\) | |||||||
\(830\) | −5.19823 | + | 4.88203i | −0.180433 | + | 0.169458i | ||||
\(831\) | −9.06194 | − | 27.8898i | −0.314355 | − | 0.967486i | ||||
\(832\) | 4.90423 | 0.170024 | ||||||||
\(833\) | −0.496003 | − | 1.52654i | −0.0171855 | − | 0.0528915i | ||||
\(834\) | 0.999607 | + | 0.726257i | 0.0346136 | + | 0.0251482i | ||||
\(835\) | −18.7711 | + | 2.37244i | −0.649601 | + | 0.0821016i | ||||
\(836\) | −0.316383 | + | 0.229865i | −0.0109423 | + | 0.00795006i | ||||
\(837\) | 2.38729 | + | 1.73447i | 0.0825168 | + | 0.0599520i | ||||
\(838\) | −7.29316 | − | 5.29879i | −0.251938 | − | 0.183044i | ||||
\(839\) | −39.4613 | + | 28.6703i | −1.36235 | + | 0.989808i | −0.364062 | + | 0.931375i | \(0.618611\pi\) |
−0.998291 | + | 0.0584334i | \(0.981389\pi\) | |||||||
\(840\) | −0.541709 | + | 2.84062i | −0.0186907 | + | 0.0980109i | ||||
\(841\) | −1.40657 | − | 1.02193i | −0.0485024 | − | 0.0352391i | ||||
\(842\) | 1.51381 | + | 4.65904i | 0.0521695 | + | 0.160561i | ||||
\(843\) | −8.82704 | −0.304020 | ||||||||
\(844\) | 2.39135 | + | 7.35982i | 0.0823137 | + | 0.253335i | ||||
\(845\) | 27.0545 | − | 3.41936i | 0.930705 | − | 0.117630i | ||||
\(846\) | 0.346133 | − | 1.06529i | 0.0119003 | − | 0.0366253i | ||||
\(847\) | 3.37182 | − | 10.3774i | 0.115857 | − | 0.356571i | ||||
\(848\) | 22.1655 | − | 16.1042i | 0.761167 | − | 0.553020i | ||||
\(849\) | −23.2083 | −0.796508 | ||||||||
\(850\) | 1.43012 | + | 2.25294i | 0.0490529 | + | 0.0772753i | ||||
\(851\) | 4.68452 | 0.160583 | ||||||||
\(852\) | 9.94794 | − | 7.22760i | 0.340811 | − | 0.247614i | ||||
\(853\) | −16.4757 | + | 50.7070i | −0.564118 | + | 1.73618i | 0.106441 | + | 0.994319i | \(0.466054\pi\) |
−0.670559 | + | 0.741856i | \(0.733946\pi\) | |||||||
\(854\) | 0.975039 | − | 3.00086i | 0.0333651 | − | 0.102687i | ||||
\(855\) | −1.36276 | − | 0.749080i | −0.0466053 | − | 0.0256180i | ||||
\(856\) | −2.26398 | − | 6.96781i | −0.0773812 | − | 0.238155i | ||||
\(857\) | −10.0286 | −0.342570 | −0.171285 | − | 0.985222i | \(-0.554792\pi\) | ||||
−0.171285 | + | 0.985222i | \(0.554792\pi\) | |||||||
\(858\) | −0.0274300 | − | 0.0844207i | −0.000936443 | − | 0.00288208i | ||||
\(859\) | 31.1092 | + | 22.6022i | 1.06143 | + | 0.771176i | 0.974353 | − | 0.225026i | \(-0.0722465\pi\) |
0.0870796 | + | 0.996201i | \(0.472247\pi\) | |||||||
\(860\) | −27.2600 | − | 14.9843i | −0.929559 | − | 0.510960i | ||||
\(861\) | 6.11269 | − | 4.44113i | 0.208320 | − | 0.151353i | ||||
\(862\) | −11.0835 | − | 8.05265i | −0.377506 | − | 0.274274i | ||||
\(863\) | 30.7722 | + | 22.3573i | 1.04750 | + | 0.761051i | 0.971735 | − | 0.236075i | \(-0.0758612\pi\) |
0.0757617 | + | 0.997126i | \(0.475861\pi\) | |||||||
\(864\) | −2.99339 | + | 2.17483i | −0.101837 | + | 0.0739891i | ||||
\(865\) | 5.16183 | + | 10.9678i | 0.175507 | + | 0.372916i | ||||
\(866\) | 6.38178 | + | 4.63663i | 0.216862 | + | 0.157559i | ||||
\(867\) | 4.45715 | + | 13.7177i | 0.151373 | + | 0.465878i | ||||
\(868\) | 5.57546 | 0.189243 | ||||||||
\(869\) | −0.461967 | − | 1.42179i | −0.0156712 | − | 0.0482309i | ||||
\(870\) | 0.772185 | − | 4.04920i | 0.0261795 | − | 0.137281i | ||||
\(871\) | −0.753585 | + | 2.31930i | −0.0255343 | + | 0.0785864i | ||||
\(872\) | 0.273964 | − | 0.843174i | 0.00927759 | − | 0.0285535i | ||||
\(873\) | −0.334354 | + | 0.242922i | −0.0113162 | + | 0.00822167i | ||||
\(874\) | 0.0896719 | 0.00303320 | ||||||||
\(875\) | −5.98910 | + | 9.44091i | −0.202468 | + | 0.319161i | ||||
\(876\) | −23.6061 | −0.797576 | ||||||||
\(877\) | −20.9383 | + | 15.2126i | −0.707038 | + | 0.513693i | −0.882217 | − | 0.470844i | \(-0.843950\pi\) |
0.175179 | + | 0.984537i | \(0.443950\pi\) | |||||||
\(878\) | 3.72988 | − | 11.4794i | 0.125877 | − | 0.387411i | ||||
\(879\) | 2.00413 | − | 6.16806i | 0.0675975 | − | 0.208044i | ||||
\(880\) | −0.417481 | + | 2.18919i | −0.0140733 | + | 0.0737977i | ||||
\(881\) | 3.30565 | + | 10.1737i | 0.111370 | + | 0.342762i | 0.991173 | − | 0.132577i | \(-0.0423253\pi\) |
−0.879803 | + | 0.475339i | \(0.842325\pi\) | |||||||
\(882\) | −0.332505 | −0.0111960 | ||||||||
\(883\) | −1.84328 | − | 5.67304i | −0.0620313 | − | 0.190913i | 0.915238 | − | 0.402913i | \(-0.132002\pi\) |
−0.977270 | + | 0.212000i | \(0.932002\pi\) | |||||||
\(884\) | 2.20079 | + | 1.59897i | 0.0740206 | + | 0.0537791i | ||||
\(885\) | −10.1141 | − | 21.4904i | −0.339982 | − | 0.722391i | ||||
\(886\) | −1.65807 | + | 1.20466i | −0.0557040 | + | 0.0404713i | ||||
\(887\) | −10.4092 | − | 7.56270i | −0.349506 | − | 0.253931i | 0.399156 | − | 0.916883i | \(-0.369303\pi\) |
−0.748662 | + | 0.662952i | \(0.769303\pi\) | |||||||
\(888\) | 12.6390 | + | 9.18280i | 0.424138 | + | 0.308154i | ||||
\(889\) | −3.14259 | + | 2.28323i | −0.105399 | + | 0.0765770i | ||||
\(890\) | −6.40470 | − | 3.52053i | −0.214686 | − | 0.118009i | ||||
\(891\) | −0.240778 | − | 0.174935i | −0.00806635 | − | 0.00586055i | ||||
\(892\) | −2.66772 | − | 8.21038i | −0.0893217 | − | 0.274904i | ||||
\(893\) | 2.34275 | 0.0783970 | ||||||||
\(894\) | 0.712910 | + | 2.19411i | 0.0238433 | + | 0.0733821i | ||||
\(895\) | −33.3715 | − | 18.3436i | −1.11549 | − | 0.613160i | ||||
\(896\) | −2.84853 | + | 8.76686i | −0.0951626 | + | 0.292880i | ||||
\(897\) | 0.107489 | − | 0.330816i | 0.00358894 | − | 0.0110456i | ||||
\(898\) | 9.85766 | − | 7.16201i | 0.328954 | − | 0.238999i | ||||
\(899\) | −16.3602 | −0.545644 | ||||||||
\(900\) | −9.15013 | + | 2.35048i | −0.305004 | + | 0.0783492i | ||||
\(901\) | 13.1318 | 0.437484 | ||||||||
\(902\) | −0.604907 | + | 0.439491i | −0.0201412 | + | 0.0146334i | ||||
\(903\) | 2.27521 | − | 7.00236i | 0.0757141 | − | 0.233024i | ||||
\(904\) | 2.61932 | − | 8.06145i | 0.0871174 | − | 0.268120i | ||||
\(905\) | −39.8508 | + | 5.03666i | −1.32469 | + | 0.167424i | ||||
\(906\) | −0.161888 | − | 0.498241i | −0.00537838 | − | 0.0165529i | ||||
\(907\) | 16.9061 | 0.561358 | 0.280679 | − | 0.959802i | \(-0.409440\pi\) | ||||
0.280679 | + | 0.959802i | \(0.409440\pi\) | |||||||
\(908\) | 13.7774 | + | 42.4023i | 0.457218 | + | 1.40717i | ||||
\(909\) | −10.8553 | − | 7.88682i | −0.360047 | − | 0.261589i | ||||
\(910\) | 0.124929 | − | 0.655108i | 0.00414137 | − | 0.0217166i | ||||
\(911\) | −11.1329 | + | 8.08854i | −0.368850 | + | 0.267985i | −0.756734 | − | 0.653723i | \(-0.773206\pi\) |
0.387884 | + | 0.921708i | \(0.373206\pi\) | |||||||
\(912\) | −1.88416 | − | 1.36893i | −0.0623909 | − | 0.0453297i | ||||
\(913\) | −2.30942 | − | 1.67789i | −0.0764306 | − | 0.0555301i | ||||
\(914\) | 3.38749 | − | 2.46115i | 0.112048 | − | 0.0814077i | ||||
\(915\) | 21.0516 | − | 2.66066i | 0.695944 | − | 0.0879588i | ||||
\(916\) | 1.85197 | + | 1.34553i | 0.0611907 | + | 0.0444576i | ||||
\(917\) | −4.02249 | − | 12.3800i | −0.132834 | − | 0.408822i | ||||
\(918\) | −0.533704 | −0.0176149 | ||||||||
\(919\) | 8.47403 | + | 26.0804i | 0.279533 | + | 0.860313i | 0.987984 | + | 0.154554i | \(0.0493939\pi\) |
−0.708452 | + | 0.705759i | \(0.750606\pi\) | |||||||
\(920\) | 0.817430 | − | 0.767706i | 0.0269499 | − | 0.0253105i | ||||
\(921\) | −8.27397 | + | 25.4647i | −0.272637 | + | 0.839089i | ||||
\(922\) | 2.89301 | − | 8.90376i | 0.0952761 | − | 0.293230i | ||||
\(923\) | −4.72265 | + | 3.43121i | −0.155448 | + | 0.112940i | ||||
\(924\) | −0.562330 | −0.0184993 | ||||||||
\(925\) | 32.3701 | + | 50.9941i | 1.06432 | + | 1.67668i | ||||
\(926\) | 3.57720 | 0.117554 | ||||||||
\(927\) | −16.0089 | + | 11.6311i | −0.525800 | + | 0.382016i | ||||
\(928\) | 6.33914 | − | 19.5099i | 0.208092 | − | 0.640443i | ||||
\(929\) | −4.72956 | + | 14.5561i | −0.155172 | + | 0.477570i | −0.998178 | − | 0.0603336i | \(-0.980784\pi\) |
0.843006 | + | 0.537904i | \(0.180784\pi\) | |||||||
\(930\) | −0.934262 | − | 1.98511i | −0.0306356 | − | 0.0650944i | ||||
\(931\) | −0.214905 | − | 0.661409i | −0.00704322 | − | 0.0216768i | ||||
\(932\) | −27.1177 | −0.888271 | ||||||||
\(933\) | −1.07829 | − | 3.31863i | −0.0353016 | − | 0.108647i | ||||
\(934\) | −2.23379 | − | 1.62295i | −0.0730919 | − | 0.0531044i | ||||
\(935\) | −0.778629 | + | 0.731266i | −0.0254639 | + | 0.0239150i | ||||
\(936\) | 0.938489 | − | 0.681852i | 0.0306755 | − | 0.0222870i | ||||
\(937\) | 10.4250 | + | 7.57424i | 0.340571 | + | 0.247440i | 0.744903 | − | 0.667173i | \(-0.232496\pi\) |
−0.404331 | + | 0.914613i | \(0.632496\pi\) | |||||||
\(938\) | −0.731342 | − | 0.531351i | −0.0238791 | − | 0.0173492i | ||||
\(939\) | 11.1213 | − | 8.08013i | 0.362931 | − | 0.263685i | ||||
\(940\) | 10.3745 | − | 9.74339i | 0.338378 | − | 0.317794i | ||||
\(941\) | 34.5371 | + | 25.0927i | 1.12588 | + | 0.817997i | 0.985089 | − | 0.172043i | \(-0.0550367\pi\) |
0.140787 | + | 0.990040i | \(0.455037\pi\) | |||||||
\(942\) | 0.167507 | + | 0.515533i | 0.00545766 | + | 0.0167970i | ||||
\(943\) | −2.93001 | −0.0954142 | ||||||||
\(944\) | −10.9922 | − | 33.8305i | −0.357766 | − | 1.10109i | ||||
\(945\) | −0.952188 | − | 2.02320i | −0.0309747 | − | 0.0658147i | ||||
\(946\) | −0.225153 | + | 0.692949i | −0.00732035 | + | 0.0225297i | ||||
\(947\) | −5.62336 | + | 17.3069i | −0.182735 | + | 0.562399i | −0.999902 | − | 0.0140013i | \(-0.995543\pi\) |
0.817167 | + | 0.576400i | \(0.195543\pi\) | |||||||
\(948\) | 7.67824 | − | 5.57857i | 0.249378 | − | 0.181183i | ||||
\(949\) | 11.2067 | 0.363784 | ||||||||
\(950\) | 0.619634 | + | 0.976139i | 0.0201036 | + | 0.0316701i | ||||
\(951\) | 28.9457 | 0.938627 | ||||||||
\(952\) | −1.67937 | + | 1.22013i | −0.0544286 | + | 0.0395447i | ||||
\(953\) | −7.83452 | + | 24.1122i | −0.253785 | + | 0.781070i | 0.740282 | + | 0.672297i | \(0.234692\pi\) |
−0.994067 | + | 0.108773i | \(0.965308\pi\) | |||||||
\(954\) | 0.840627 | − | 2.58718i | 0.0272163 | − | 0.0837632i | ||||
\(955\) | −9.59773 | + | 9.01390i | −0.310575 | + | 0.291683i | ||||
\(956\) | 3.08567 | + | 9.49671i | 0.0997976 | + | 0.307146i | ||||
\(957\) | 1.65006 | 0.0533389 | ||||||||
\(958\) | 0.613776 | + | 1.88901i | 0.0198302 | + | 0.0610311i | ||||
\(959\) | 8.94111 | + | 6.49610i | 0.288724 | + | 0.209770i | ||||
\(960\) | −12.1291 | + | 1.53297i | −0.391465 | + | 0.0494764i | ||||
\(961\) | 18.0350 | − | 13.1032i | 0.581774 | − | 0.422683i | ||||
\(962\) | −2.91483 | − | 2.11775i | −0.0939778 | − | 0.0682789i | ||||
\(963\) | 4.58313 | + | 3.32984i | 0.147689 | + | 0.107303i | ||||
\(964\) | 16.1602 | − | 11.7411i | 0.520486 | − | 0.378155i | ||||
\(965\) | 3.25688 | − | 17.0785i | 0.104843 | − | 0.549776i | ||||
\(966\) | 0.104316 | + | 0.0757900i | 0.00335631 | + | 0.00243850i | ||||
\(967\) | −14.1045 | − | 43.4091i | −0.453570 | − | 1.39594i | −0.872806 | − | 0.488067i | \(-0.837702\pi\) |
0.419237 | − | 0.907877i | \(-0.362298\pi\) | |||||||
\(968\) | −14.1113 | −0.453554 | ||||||||
\(969\) | −0.344944 | − | 1.06163i | −0.0110812 | − | 0.0341044i | ||||
\(970\) | 0.304853 | − | 0.0385297i | 0.00978825 | − | 0.00123712i | ||||
\(971\) | 8.86521 | − | 27.2843i | 0.284498 | − | 0.875595i | −0.702050 | − | 0.712127i | \(-0.747732\pi\) |
0.986549 | − | 0.163468i | \(-0.0522681\pi\) | |||||||
\(972\) | 0.583869 | − | 1.79696i | 0.0187276 | − | 0.0576377i | ||||
\(973\) | −3.00629 | + | 2.18420i | −0.0963772 | + | 0.0700222i | ||||
\(974\) | 11.0113 | 0.352825 | ||||||||
\(975\) | 4.34390 | − | 1.11586i | 0.139116 | − | 0.0357360i | ||||
\(976\) | 31.7789 | 1.01722 | ||||||||
\(977\) | 17.5596 | − | 12.7578i | 0.561781 | − | 0.408158i | −0.270329 | − | 0.962768i | \(-0.587133\pi\) |
0.832110 | + | 0.554610i | \(0.187133\pi\) | |||||||
\(978\) | −0.904842 | + | 2.78482i | −0.0289336 | + | 0.0890486i | ||||
\(979\) | 0.904036 | − | 2.78234i | 0.0288931 | − | 0.0889239i | ||||
\(980\) | −3.70244 | − | 2.03516i | −0.118270 | − | 0.0650107i | ||||
\(981\) | 0.211840 | + | 0.651976i | 0.00676353 | + | 0.0208160i | ||||
\(982\) | −2.92185 | −0.0932399 | ||||||||
\(983\) | −0.275471 | − | 0.847812i | −0.00878615 | − | 0.0270410i | 0.946567 | − | 0.322506i | \(-0.104525\pi\) |
−0.955353 | + | 0.295465i | \(0.904525\pi\) | |||||||
\(984\) | −7.90529 | − | 5.74353i | −0.252011 | − | 0.183097i | ||||
\(985\) | −0.0229847 | − | 0.0126342i | −0.000732354 | − | 0.000402560i | ||||
\(986\) | 2.39387 | − | 1.73925i | 0.0762363 | − | 0.0553889i | ||||
\(987\) | 2.72533 | + | 1.98007i | 0.0867483 | + | 0.0630263i | ||||
\(988\) | 0.953543 | + | 0.692790i | 0.0303362 | + | 0.0220406i | ||||
\(989\) | −2.30988 | + | 1.67823i | −0.0734501 | + | 0.0533646i | ||||
\(990\) | 0.0942279 | + | 0.200215i | 0.00299476 | + | 0.00636324i | ||||
\(991\) | 28.2377 | + | 20.5159i | 0.896999 | + | 0.651708i | 0.937693 | − | 0.347464i | \(-0.112957\pi\) |
−0.0406945 | + | 0.999172i | \(0.512957\pi\) | |||||||
\(992\) | −3.37393 | − | 10.3839i | −0.107122 | − | 0.329688i | ||||
\(993\) | −24.0119 | −0.761994 | ||||||||
\(994\) | −0.668688 | − | 2.05801i | −0.0212095 | − | 0.0652761i | ||||
\(995\) | 1.80742 | − | 9.47777i | 0.0572990 | − | 0.300465i | ||||
\(996\) | 5.60018 | − | 17.2356i | 0.177449 | − | 0.546131i | ||||
\(997\) | 5.26664 | − | 16.2091i | 0.166796 | − | 0.513346i | −0.832368 | − | 0.554224i | \(-0.813015\pi\) |
0.999164 | + | 0.0408773i | \(0.0130153\pi\) | |||||||
\(998\) | 6.58850 | − | 4.78683i | 0.208555 | − | 0.151524i | ||||
\(999\) | −12.0801 | −0.382198 |
(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 | 525.2.n.b.211.4 | ✓ | 20 | |
25.16 | even | 5 | inner | 525.2.n.b.316.4 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.n.b.211.4 | ✓ | 20 | 1.1 | even | 1 | trivial | |
525.2.n.b.316.4 | yes | 20 | 25.16 | even | 5 | inner |