Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(299,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.299");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.m (of order \(2\), degree \(1\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + x^{14} + 4x^{12} + 12x^{10} + 16x^{8} + 48x^{6} + 64x^{4} + 64x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{11} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 299.12 | ||
Root | \(0.842022 + 1.13622i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.299 |
Dual form | 600.2.m.c.299.11 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.842022 | + | 1.13622i | 0.595399 | + | 0.803430i | ||||
\(3\) | −0.218455 | + | 1.71822i | −0.126125 | + | 0.992014i | ||||
\(4\) | −0.581998 | + | 1.91345i | −0.290999 | + | 0.956723i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.13622 | + | 1.19857i | −0.872109 | + | 0.489312i | ||||
\(7\) | 3.64426 | 1.37740 | 0.688701 | − | 0.725045i | \(-0.258181\pi\) | ||||
0.688701 | + | 0.725045i | \(0.258181\pi\) | |||||||
\(8\) | −2.66415 | + | 0.949886i | −0.941921 | + | 0.335835i | ||||
\(9\) | −2.90455 | − | 0.750707i | −0.968185 | − | 0.250236i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.07403i | 1.52988i | 0.644103 | + | 0.764938i | \(0.277231\pi\) | ||||
−0.644103 | + | 0.764938i | \(0.722769\pi\) | |||||||
\(12\) | −3.16058 | − | 1.41800i | −0.912381 | − | 0.409342i | ||||
\(13\) | 1.70594 | 0.473142 | 0.236571 | − | 0.971614i | \(-0.423976\pi\) | ||||
0.236571 | + | 0.971614i | \(0.423976\pi\) | |||||||
\(14\) | 3.06855 | + | 4.14069i | 0.820105 | + | 1.10665i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.32256 | − | 2.22724i | −0.830639 | − | 0.556811i | ||||
\(17\) | −4.08117 | −0.989830 | −0.494915 | − | 0.868941i | \(-0.664801\pi\) | ||||
−0.494915 | + | 0.868941i | \(0.664801\pi\) | |||||||
\(18\) | −1.59273 | − | 3.93233i | −0.375410 | − | 0.926859i | ||||
\(19\) | 1.26422 | 0.290033 | 0.145016 | − | 0.989429i | \(-0.453676\pi\) | ||||
0.145016 | + | 0.989429i | \(0.453676\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.796108 | + | 6.26164i | −0.173725 | + | 1.36640i | ||||
\(22\) | −5.76522 | + | 4.27244i | −1.22915 | + | 0.910888i | ||||
\(23\) | − | 4.70066i | − | 0.980156i | −0.871679 | − | 0.490078i | \(-0.836968\pi\) | ||
0.871679 | − | 0.490078i | \(-0.163032\pi\) | |||||||
\(24\) | −1.05011 | − | 4.78511i | −0.214354 | − | 0.976756i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 1.43644 | + | 1.93832i | 0.281709 | + | 0.380137i | ||||
\(27\) | 1.92439 | − | 4.82667i | 0.370350 | − | 0.928892i | ||||
\(28\) | −2.12095 | + | 6.97311i | −0.400823 | + | 1.31779i | ||||
\(29\) | −1.06377 | −0.197537 | −0.0987683 | − | 0.995110i | \(-0.531490\pi\) | ||||
−0.0987683 | + | 0.995110i | \(0.531490\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.86950i | 0.874588i | 0.899318 | + | 0.437294i | \(0.144063\pi\) | ||||
−0.899318 | + | 0.437294i | \(0.855937\pi\) | |||||||
\(32\) | −0.267024 | − | 5.65055i | −0.0472036 | − | 0.998885i | ||||
\(33\) | −8.71829 | − | 1.10845i | −1.51766 | − | 0.192956i | ||||
\(34\) | −3.43644 | − | 4.63712i | −0.589344 | − | 0.795259i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.12688 | − | 5.12080i | 0.521147 | − | 0.853467i | ||||
\(37\) | 7.56830 | 1.24422 | 0.622110 | − | 0.782930i | \(-0.286276\pi\) | ||||
0.622110 | + | 0.782930i | \(0.286276\pi\) | |||||||
\(38\) | 1.06450 | + | 1.43644i | 0.172685 | + | 0.233021i | ||||
\(39\) | −0.372671 | + | 2.93118i | −0.0596751 | + | 0.469364i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 1.50141i | − | 0.234482i | −0.993104 | − | 0.117241i | \(-0.962595\pi\) | ||
0.993104 | − | 0.117241i | \(-0.0374049\pi\) | |||||||
\(42\) | −7.78495 | + | 4.36789i | −1.20124 | + | 0.673980i | ||||
\(43\) | − | 3.43644i | − | 0.524052i | −0.965061 | − | 0.262026i | \(-0.915609\pi\) | ||
0.965061 | − | 0.262026i | \(-0.0843906\pi\) | |||||||
\(44\) | −9.70888 | − | 2.95307i | −1.46367 | − | 0.445193i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.34099 | − | 3.95806i | 0.787486 | − | 0.583584i | ||||
\(47\) | − | 10.9176i | − | 1.59249i | −0.604975 | − | 0.796245i | \(-0.706817\pi\) | ||
0.604975 | − | 0.796245i | \(-0.293183\pi\) | |||||||
\(48\) | 4.55272 | − | 5.22233i | 0.657129 | − | 0.753778i | ||||
\(49\) | 6.28066 | 0.897237 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.891553 | − | 7.01235i | 0.124842 | − | 0.981926i | ||||
\(52\) | −0.992853 | + | 3.26422i | −0.137684 | + | 0.452666i | ||||
\(53\) | 8.87288i | 1.21878i | 0.792869 | + | 0.609392i | \(0.208586\pi\) | ||||
−0.792869 | + | 0.609392i | \(0.791414\pi\) | |||||||
\(54\) | 7.10454 | − | 1.87762i | 0.966806 | − | 0.255512i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −9.70888 | + | 3.46163i | −1.29740 | + | 0.462580i | ||||
\(57\) | −0.276176 | + | 2.17221i | −0.0365804 | + | 0.287717i | ||||
\(58\) | −0.895716 | − | 1.20868i | −0.117613 | − | 0.158707i | ||||
\(59\) | 0.788328i | 0.102632i | 0.998682 | + | 0.0513158i | \(0.0163415\pi\) | ||||
−0.998682 | + | 0.0513158i | \(0.983658\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.627594i | 0.0803552i | 0.999193 | + | 0.0401776i | \(0.0127924\pi\) | ||||
−0.999193 | + | 0.0401776i | \(0.987208\pi\) | |||||||
\(62\) | −5.53283 | + | 4.10023i | −0.702670 | + | 0.520730i | ||||
\(63\) | −10.5850 | − | 2.73578i | −1.33358 | − | 0.344675i | ||||
\(64\) | 6.19543 | − | 5.06128i | 0.774429 | − | 0.632661i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −6.08155 | − | 10.8392i | −0.748587 | − | 1.33422i | ||||
\(67\) | 4.18178i | 0.510886i | 0.966824 | + | 0.255443i | \(0.0822213\pi\) | ||||
−0.966824 | + | 0.255443i | \(0.917779\pi\) | |||||||
\(68\) | 2.37523 | − | 7.80911i | 0.288040 | − | 0.946994i | ||||
\(69\) | 8.07677 | + | 1.02688i | 0.972329 | + | 0.123622i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.21689 | 0.737810 | 0.368905 | − | 0.929467i | \(-0.379733\pi\) | ||||
0.368905 | + | 0.929467i | \(0.379733\pi\) | |||||||
\(72\) | 8.45127 | − | 0.758995i | 0.995991 | − | 0.0894485i | ||||
\(73\) | 4.21689i | 0.493550i | 0.969073 | + | 0.246775i | \(0.0793709\pi\) | ||||
−0.969073 | + | 0.246775i | \(0.920629\pi\) | |||||||
\(74\) | 6.37267 | + | 8.59926i | 0.740808 | + | 0.999644i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.735776 | + | 2.41903i | −0.0843993 | + | 0.277481i | ||||
\(77\) | 18.4911i | 2.10726i | ||||||||
\(78\) | −3.64426 | + | 2.04468i | −0.412632 | + | 0.231514i | ||||
\(79\) | 0.992853i | 0.111705i | 0.998439 | + | 0.0558524i | \(0.0177876\pi\) | ||||
−0.998439 | + | 0.0558524i | \(0.982212\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.87288 | + | 4.36094i | 0.874764 | + | 0.484549i | ||||
\(82\) | 1.70594 | − | 1.26422i | 0.188389 | − | 0.139610i | ||||
\(83\) | 7.72544 | 0.847977 | 0.423989 | − | 0.905668i | \(-0.360630\pi\) | ||||
0.423989 | + | 0.905668i | \(0.360630\pi\) | |||||||
\(84\) | −11.5180 | − | 5.16757i | −1.25672 | − | 0.563829i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 3.90455 | − | 2.89356i | 0.421039 | − | 0.312020i | ||||
\(87\) | 0.232385 | − | 1.82779i | 0.0249143 | − | 0.195959i | ||||
\(88\) | −4.81975 | − | 13.5180i | −0.513787 | − | 1.44102i | ||||
\(89\) | 11.5742i | 1.22687i | 0.789747 | + | 0.613433i | \(0.210212\pi\) | ||||
−0.789747 | + | 0.613433i | \(0.789788\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.21689 | 0.651708 | ||||||||
\(92\) | 8.99447 | + | 2.73578i | 0.937738 | + | 0.285224i | ||||
\(93\) | −8.36687 | − | 1.06377i | −0.867604 | − | 0.110308i | ||||
\(94\) | 12.4048 | − | 9.19282i | 1.27945 | − | 0.948167i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 9.76721 | + | 0.775585i | 0.996862 | + | 0.0791578i | ||||
\(97\) | − | 7.40133i | − | 0.751491i | −0.926723 | − | 0.375745i | \(-0.877387\pi\) | ||
0.926723 | − | 0.375745i | \(-0.122613\pi\) | |||||||
\(98\) | 5.28845 | + | 7.13622i | 0.534215 | + | 0.720867i | ||||
\(99\) | 3.80911 | − | 14.7378i | 0.382830 | − | 1.48120i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.1535 | −1.01031 | −0.505157 | − | 0.863027i | \(-0.668566\pi\) | ||||
−0.505157 | + | 0.863027i | \(0.668566\pi\) | |||||||
\(102\) | 8.71829 | − | 4.89155i | 0.863239 | − | 0.484336i | ||||
\(103\) | 15.5400 | 1.53120 | 0.765599 | − | 0.643318i | \(-0.222443\pi\) | ||||
0.765599 | + | 0.643318i | \(0.222443\pi\) | |||||||
\(104\) | −4.54489 | + | 1.62045i | −0.445663 | + | 0.158898i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.0816 | + | 7.47116i | −0.979207 | + | 0.725663i | ||||
\(107\) | 14.8707 | 1.43760 | 0.718801 | − | 0.695216i | \(-0.244691\pi\) | ||||
0.718801 | + | 0.695216i | \(0.244691\pi\) | |||||||
\(108\) | 8.11558 | + | 6.49134i | 0.780922 | + | 0.624629i | ||||
\(109\) | 10.5376i | 1.00932i | 0.863319 | + | 0.504659i | \(0.168382\pi\) | ||||
−0.863319 | + | 0.504659i | \(0.831618\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.65333 | + | 13.0040i | −0.156927 | + | 1.23428i | ||||
\(112\) | −12.1083 | − | 8.11667i | −1.14412 | − | 0.766953i | ||||
\(113\) | 9.94353 | 0.935409 | 0.467704 | − | 0.883885i | \(-0.345081\pi\) | ||||
0.467704 | + | 0.883885i | \(0.345081\pi\) | |||||||
\(114\) | −2.70066 | + | 1.51526i | −0.252940 | + | 0.141917i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.619110 | − | 2.03546i | 0.0574830 | − | 0.188988i | ||||
\(117\) | −4.95499 | − | 1.28066i | −0.458089 | − | 0.118397i | ||||
\(118\) | −0.895716 | + | 0.663790i | −0.0824573 | + | 0.0611068i | ||||
\(119\) | −14.8729 | −1.36339 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −14.7458 | −1.34052 | ||||||||
\(122\) | −0.713086 | + | 0.528448i | −0.0645598 | + | 0.0478435i | ||||
\(123\) | 2.57976 | + | 0.327992i | 0.232609 | + | 0.0295740i | ||||
\(124\) | −9.31753 | − | 2.83404i | −0.836739 | − | 0.254504i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.80433 | − | 14.3304i | −0.517090 | − | 1.27666i | ||||
\(127\) | −5.62997 | −0.499579 | −0.249790 | − | 0.968300i | \(-0.580361\pi\) | ||||
−0.249790 | + | 0.968300i | \(0.580361\pi\) | |||||||
\(128\) | 10.9674 | + | 2.77767i | 0.969393 | + | 0.245514i | ||||
\(129\) | 5.90455 | + | 0.750707i | 0.519867 | + | 0.0660961i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.66215i | 0.145223i | 0.997360 | + | 0.0726113i | \(0.0231333\pi\) | ||||
−0.997360 | + | 0.0726113i | \(0.976867\pi\) | |||||||
\(132\) | 7.19498 | − | 16.0369i | 0.626243 | − | 1.39583i | ||||
\(133\) | 4.60717 | 0.399492 | ||||||||
\(134\) | −4.75143 | + | 3.52115i | −0.410461 | + | 0.304181i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 10.8729 | − | 3.87665i | 0.932342 | − | 0.332420i | ||||
\(137\) | −13.3554 | −1.14103 | −0.570515 | − | 0.821287i | \(-0.693256\pi\) | ||||
−0.570515 | + | 0.821287i | \(0.693256\pi\) | |||||||
\(138\) | 5.63405 | + | 10.0417i | 0.479602 | + | 0.854803i | ||||
\(139\) | −14.3540 | −1.21749 | −0.608745 | − | 0.793366i | \(-0.708327\pi\) | ||||
−0.608745 | + | 0.793366i | \(0.708327\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 18.7588 | + | 2.38500i | 1.57977 | + | 0.200853i | ||||
\(142\) | 5.23476 | + | 7.06377i | 0.439291 | + | 0.592778i | ||||
\(143\) | 8.65598i | 0.723850i | ||||||||
\(144\) | 7.97854 | + | 8.96342i | 0.664878 | + | 0.746952i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −4.79132 | + | 3.55072i | −0.396533 | + | 0.293859i | ||||
\(147\) | −1.37204 | + | 10.7916i | −0.113164 | + | 0.890072i | ||||
\(148\) | −4.40473 | + | 14.4815i | −0.362067 | + | 1.19037i | ||||
\(149\) | 18.2742 | 1.49708 | 0.748540 | − | 0.663089i | \(-0.230755\pi\) | ||||
0.748540 | + | 0.663089i | \(0.230755\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 16.7652i | − | 1.36433i | −0.731197 | − | 0.682166i | \(-0.761038\pi\) | ||
0.731197 | − | 0.682166i | \(-0.238962\pi\) | |||||||
\(152\) | −3.36809 | + | 1.20087i | −0.273188 | + | 0.0974033i | ||||
\(153\) | 11.8540 | + | 3.06377i | 0.958339 | + | 0.247691i | ||||
\(154\) | −21.0100 | + | 15.5699i | −1.69303 | + | 1.25466i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −5.39176 | − | 2.41903i | −0.431686 | − | 0.193677i | ||||
\(157\) | 6.31311 | 0.503841 | 0.251920 | − | 0.967748i | \(-0.418938\pi\) | ||||
0.251920 | + | 0.967748i | \(0.418938\pi\) | |||||||
\(158\) | −1.12810 | + | 0.836004i | −0.0897469 | + | 0.0665089i | ||||
\(159\) | −15.2455 | − | 1.93832i | −1.20905 | − | 0.153719i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 17.1305i | − | 1.35007i | ||||||
\(162\) | 1.67414 | + | 12.6173i | 0.131533 | + | 0.991312i | ||||
\(163\) | − | 2.69110i | − | 0.210783i | −0.994431 | − | 0.105391i | \(-0.966390\pi\) | ||
0.994431 | − | 0.105391i | \(-0.0336096\pi\) | |||||||
\(164\) | 2.87288 | + | 0.873820i | 0.224334 | + | 0.0682339i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.50499 | + | 8.77781i | 0.504885 | + | 0.681290i | ||||
\(167\) | − | 16.6633i | − | 1.28945i | −0.764416 | − | 0.644723i | \(-0.776973\pi\) | ||
0.764416 | − | 0.644723i | \(-0.223027\pi\) | |||||||
\(168\) | −3.82689 | − | 17.4382i | −0.295251 | − | 1.34539i | ||||
\(169\) | −10.0898 | −0.776136 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.67201 | − | 0.949062i | −0.280805 | − | 0.0725766i | ||||
\(172\) | 6.57544 | + | 2.00000i | 0.501373 | + | 0.152499i | ||||
\(173\) | − | 11.7458i | − | 0.893013i | −0.894780 | − | 0.446507i | \(-0.852668\pi\) | ||
0.894780 | − | 0.446507i | \(-0.147332\pi\) | |||||||
\(174\) | 2.27244 | − | 1.27499i | 0.172273 | − | 0.0966571i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 11.3011 | − | 16.8587i | 0.851852 | − | 1.27078i | ||||
\(177\) | −1.35452 | − | 0.172214i | −0.101812 | − | 0.0129444i | ||||
\(178\) | −13.1509 | + | 9.74575i | −0.985700 | + | 0.730475i | ||||
\(179\) | − | 0.466861i | − | 0.0348948i | −0.999848 | − | 0.0174474i | \(-0.994446\pi\) | ||
0.999848 | − | 0.0174474i | \(-0.00555396\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 16.5628i | − | 1.23110i | −0.788098 | − | 0.615550i | \(-0.788934\pi\) | ||
0.788098 | − | 0.615550i | \(-0.211066\pi\) | |||||||
\(182\) | 5.23476 | + | 7.06377i | 0.388026 | + | 0.523601i | ||||
\(183\) | −1.07834 | − | 0.137101i | −0.0797135 | − | 0.0101348i | ||||
\(184\) | 4.46509 | + | 12.5233i | 0.329171 | + | 0.923229i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −5.83642 | − | 10.4023i | −0.427947 | − | 0.762736i | ||||
\(187\) | − | 20.7080i | − | 1.51432i | ||||||
\(188\) | 20.8902 | + | 6.35399i | 1.52357 | + | 0.463413i | ||||
\(189\) | 7.01300 | − | 17.5896i | 0.510121 | − | 1.27946i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.49110 | 0.469679 | 0.234840 | − | 0.972034i | \(-0.424544\pi\) | ||||
0.234840 | + | 0.972034i | \(0.424544\pi\) | |||||||
\(192\) | 7.34297 | + | 11.7508i | 0.529933 | + | 0.848039i | ||||
\(193\) | − | 11.4013i | − | 0.820685i | −0.911931 | − | 0.410343i | \(-0.865409\pi\) | ||
0.911931 | − | 0.410343i | \(-0.134591\pi\) | |||||||
\(194\) | 8.40954 | − | 6.23208i | 0.603770 | − | 0.447437i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.65533 | + | 12.0177i | −0.261095 | + | 0.858408i | ||||
\(197\) | 3.56091i | 0.253704i | 0.991922 | + | 0.126852i | \(0.0404874\pi\) | ||||
−0.991922 | + | 0.126852i | \(0.959513\pi\) | |||||||
\(198\) | 19.9527 | − | 8.08155i | 1.41798 | − | 0.574331i | ||||
\(199\) | 4.40473i | 0.312243i | 0.987738 | + | 0.156122i | \(0.0498992\pi\) | ||||
−0.987738 | + | 0.156122i | \(0.950101\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.18522 | − | 0.913531i | −0.506806 | − | 0.0644355i | ||||
\(202\) | −8.54950 | − | 11.5367i | −0.601541 | − | 0.811717i | ||||
\(203\) | −3.87665 | −0.272087 | ||||||||
\(204\) | 12.8989 | + | 5.78711i | 0.903102 | + | 0.405179i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 13.0850 | + | 17.6568i | 0.911674 | + | 1.23021i | ||||
\(207\) | −3.52882 | + | 13.6533i | −0.245270 | + | 0.948972i | ||||
\(208\) | −5.66808 | − | 3.79954i | −0.393011 | − | 0.263451i | ||||
\(209\) | 6.41471i | 0.443715i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.1371 | −1.11092 | −0.555462 | − | 0.831542i | \(-0.687459\pi\) | ||||
−0.555462 | + | 0.831542i | \(0.687459\pi\) | |||||||
\(212\) | −16.9778 | − | 5.16400i | −1.16604 | − | 0.354665i | ||||
\(213\) | −1.35811 | + | 10.6820i | −0.0930563 | + | 0.731918i | ||||
\(214\) | 12.5214 | + | 16.8964i | 0.855947 | + | 1.15501i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.542102 | + | 14.6869i | −0.0368853 | + | 0.999320i | ||||
\(217\) | 17.7458i | 1.20466i | ||||||||
\(218\) | −11.9730 | + | 8.87288i | −0.810916 | + | 0.600947i | ||||
\(219\) | −7.24555 | − | 0.921202i | −0.489609 | − | 0.0622490i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.96224 | −0.468331 | ||||||||
\(222\) | −16.1676 | + | 9.07109i | −1.08510 | + | 0.608812i | ||||
\(223\) | −6.09474 | −0.408134 | −0.204067 | − | 0.978957i | \(-0.565416\pi\) | ||||
−0.204067 | + | 0.978957i | \(0.565416\pi\) | |||||||
\(224\) | −0.973105 | − | 20.5921i | −0.0650183 | − | 1.37587i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 8.37267 | + | 11.2981i | 0.556942 | + | 0.751535i | ||||
\(227\) | 20.4673 | 1.35846 | 0.679230 | − | 0.733925i | \(-0.262314\pi\) | ||||
0.679230 | + | 0.733925i | \(0.262314\pi\) | |||||||
\(228\) | −3.99568 | − | 1.79267i | −0.264621 | − | 0.118723i | ||||
\(229\) | − | 26.4728i | − | 1.74937i | −0.484693 | − | 0.874684i | \(-0.661069\pi\) | ||
0.484693 | − | 0.874684i | \(-0.338931\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −31.7718 | − | 4.03947i | −2.09043 | − | 0.265778i | ||||
\(232\) | 2.83404 | − | 1.01046i | 0.186064 | − | 0.0663398i | ||||
\(233\) | −24.3773 | −1.59701 | −0.798504 | − | 0.601989i | \(-0.794375\pi\) | ||||
−0.798504 | + | 0.601989i | \(0.794375\pi\) | |||||||
\(234\) | −2.71710 | − | 6.70832i | −0.177622 | − | 0.438536i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −1.50842 | − | 0.458805i | −0.0981901 | − | 0.0298657i | ||||
\(237\) | −1.70594 | − | 0.216894i | −0.110813 | − | 0.0140888i | ||||
\(238\) | −12.5233 | − | 16.8989i | −0.811764 | − | 1.09539i | ||||
\(239\) | 5.47155 | 0.353925 | 0.176963 | − | 0.984218i | \(-0.443373\pi\) | ||||
0.176963 | + | 0.984218i | \(0.443373\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 24.6446 | 1.58750 | 0.793750 | − | 0.608244i | \(-0.208126\pi\) | ||||
0.793750 | + | 0.608244i | \(0.208126\pi\) | |||||||
\(242\) | −12.4162 | − | 16.7544i | −0.798147 | − | 1.07702i | ||||
\(243\) | −9.21292 | + | 12.5747i | −0.591009 | + | 0.806665i | ||||
\(244\) | −1.20087 | − | 0.365259i | −0.0768777 | − | 0.0233833i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 1.79954 | + | 3.20735i | 0.114735 | + | 0.204493i | ||||
\(247\) | 2.15669 | 0.137227 | ||||||||
\(248\) | −4.62547 | − | 12.9731i | −0.293718 | − | 0.823793i | ||||
\(249\) | −1.68766 | + | 13.2740i | −0.106951 | + | 0.841205i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 1.74973i | − | 0.110442i | −0.998474 | − | 0.0552210i | \(-0.982414\pi\) | ||
0.998474 | − | 0.0552210i | \(-0.0175863\pi\) | |||||||
\(252\) | 11.3952 | − | 18.6616i | 0.717829 | − | 1.17557i | ||||
\(253\) | 23.8513 | 1.49952 | ||||||||
\(254\) | −4.74056 | − | 6.39689i | −0.297449 | − | 0.401377i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.07877 | + | 14.8003i | 0.379923 | + | 0.925018i | ||||
\(257\) | −5.27646 | −0.329137 | −0.164568 | − | 0.986366i | \(-0.552623\pi\) | ||||
−0.164568 | + | 0.986366i | \(0.552623\pi\) | |||||||
\(258\) | 4.11880 | + | 7.34099i | 0.256425 | + | 0.457030i | ||||
\(259\) | 27.5809 | 1.71379 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.08977 | + | 0.798578i | 0.191252 | + | 0.0494307i | ||||
\(262\) | −1.88857 | + | 1.39957i | −0.116676 | + | 0.0864655i | ||||
\(263\) | 1.79043i | 0.110403i | 0.998475 | + | 0.0552014i | \(0.0175801\pi\) | ||||
−0.998475 | + | 0.0552014i | \(0.982420\pi\) | |||||||
\(264\) | 24.2798 | − | 5.32831i | 1.49432 | − | 0.327935i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 3.87934 | + | 5.23476i | 0.237857 | + | 0.320964i | ||||
\(267\) | −19.8871 | − | 2.52845i | −1.21707 | − | 0.154739i | ||||
\(268\) | −8.00161 | − | 2.43379i | −0.488776 | − | 0.148667i | ||||
\(269\) | −18.7080 | −1.14065 | −0.570323 | − | 0.821420i | \(-0.693182\pi\) | ||||
−0.570323 | + | 0.821420i | \(0.693182\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 24.8441i | − | 1.50917i | −0.656200 | − | 0.754587i | \(-0.727837\pi\) | ||
0.656200 | − | 0.754587i | \(-0.272163\pi\) | |||||||
\(272\) | 13.5599 | + | 9.08977i | 0.822192 | + | 0.551148i | ||||
\(273\) | −1.35811 | + | 10.6820i | −0.0821967 | + | 0.646503i | ||||
\(274\) | −11.2455 | − | 15.1747i | −0.679368 | − | 0.916737i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6.66555 | + | 14.8568i | −0.401219 | + | 0.894276i | ||||
\(277\) | −29.2030 | −1.75464 | −0.877319 | − | 0.479908i | \(-0.840670\pi\) | ||||
−0.877319 | + | 0.479908i | \(0.840670\pi\) | |||||||
\(278\) | −12.0864 | − | 16.3093i | −0.724893 | − | 0.978168i | ||||
\(279\) | 3.65557 | − | 14.1437i | 0.218853 | − | 0.846763i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 22.9856i | 1.37121i | 0.727975 | + | 0.685604i | \(0.240462\pi\) | ||||
−0.727975 | + | 0.685604i | \(0.759538\pi\) | |||||||
\(282\) | 13.0854 | + | 23.3223i | 0.779224 | + | 1.38882i | ||||
\(283\) | 2.03511i | 0.120975i | 0.998169 | + | 0.0604875i | \(0.0192655\pi\) | ||||
−0.998169 | + | 0.0604875i | \(0.980734\pi\) | |||||||
\(284\) | −3.61822 | + | 11.8957i | −0.214702 | + | 0.705880i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.83511 | + | 7.28853i | −0.581562 | + | 0.430980i | ||||
\(287\) | − | 5.47155i | − | 0.322975i | ||||||
\(288\) | −3.46632 | + | 16.6128i | −0.204255 | + | 0.978918i | ||||
\(289\) | −0.344017 | −0.0202363 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.7171 | + | 1.61686i | 0.745490 | + | 0.0947818i | ||||
\(292\) | −8.06880 | − | 2.45422i | −0.472191 | − | 0.143623i | ||||
\(293\) | − | 6.00000i | − | 0.350524i | −0.984522 | − | 0.175262i | \(-0.943923\pi\) | ||
0.984522 | − | 0.175262i | \(-0.0560772\pi\) | |||||||
\(294\) | −13.4169 | + | 7.52778i | −0.782488 | + | 0.439029i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −20.1631 | + | 7.18902i | −1.17196 | + | 0.417853i | ||||
\(297\) | 24.4906 | + | 9.76443i | 1.42109 | + | 0.566590i | ||||
\(298\) | 15.3873 | + | 20.7635i | 0.891361 | + | 1.20280i | ||||
\(299\) | − | 8.01905i | − | 0.463753i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 12.5233i | − | 0.721830i | ||||||
\(302\) | 19.0490 | − | 14.1167i | 1.09615 | − | 0.812323i | ||||
\(303\) | 2.21809 | − | 17.4460i | 0.127426 | − | 1.00225i | ||||
\(304\) | −4.20046 | − | 2.81574i | −0.240913 | − | 0.161494i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 6.50021 | + | 16.0485i | 0.371592 | + | 0.917433i | ||||
\(307\) | 19.0547i | 1.08751i | 0.839245 | + | 0.543753i | \(0.182997\pi\) | ||||
−0.839245 | + | 0.543753i | \(0.817003\pi\) | |||||||
\(308\) | −35.3817 | − | 10.7618i | −2.01606 | − | 0.613209i | ||||
\(309\) | −3.39478 | + | 26.7011i | −0.193122 | + | 1.51897i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 26.0902 | 1.47944 | 0.739719 | − | 0.672916i | \(-0.234958\pi\) | ||||
0.739719 | + | 0.672916i | \(0.234958\pi\) | |||||||
\(312\) | −1.79143 | − | 8.16310i | −0.101420 | − | 0.462145i | ||||
\(313\) | − | 20.1795i | − | 1.14062i | −0.821431 | − | 0.570308i | \(-0.806824\pi\) | ||
0.821431 | − | 0.570308i | \(-0.193176\pi\) | |||||||
\(314\) | 5.31577 | + | 7.17309i | 0.299987 | + | 0.404801i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.89977 | − | 0.577838i | −0.106871 | − | 0.0325060i | ||||
\(317\) | 7.81598i | 0.438989i | 0.975614 | + | 0.219495i | \(0.0704408\pi\) | ||||
−0.975614 | + | 0.219495i | \(0.929559\pi\) | |||||||
\(318\) | −10.6347 | − | 18.9544i | −0.596366 | − | 1.06291i | ||||
\(319\) | − | 5.39759i | − | 0.302207i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.24857 | + | 25.5511i | −0.181318 | + | 1.42612i | ||||
\(322\) | 19.4640 | − | 14.4242i | 1.08469 | − | 0.803830i | ||||
\(323\) | −5.15952 | −0.287083 | ||||||||
\(324\) | −12.9264 | + | 12.5263i | −0.718135 | + | 0.695904i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.05768 | − | 2.26596i | 0.169349 | − | 0.125500i | ||||
\(327\) | −18.1059 | − | 2.30199i | −1.00126 | − | 0.127300i | ||||
\(328\) | 1.42617 | + | 4.00000i | 0.0787472 | + | 0.220863i | ||||
\(329\) | − | 39.7865i | − | 2.19350i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.0424 | −0.551982 | −0.275991 | − | 0.961160i | \(-0.589006\pi\) | ||||
−0.275991 | + | 0.961160i | \(0.589006\pi\) | |||||||
\(332\) | −4.49619 | + | 14.7822i | −0.246760 | + | 0.811279i | ||||
\(333\) | −21.9825 | − | 5.68157i | −1.20464 | − | 0.311348i | ||||
\(334\) | 18.9332 | − | 14.0309i | 1.03598 | − | 0.767735i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 16.5913 | − | 19.0315i | 0.905131 | − | 1.03826i | ||||
\(337\) | − | 17.8733i | − | 0.973620i | −0.873508 | − | 0.486810i | \(-0.838160\pi\) | ||
0.873508 | − | 0.486810i | \(-0.161840\pi\) | |||||||
\(338\) | −8.49581 | − | 11.4642i | −0.462111 | − | 0.623571i | ||||
\(339\) | −2.17221 | + | 17.0852i | −0.117978 | + | 0.927939i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −24.7080 | −1.33801 | ||||||||
\(342\) | −2.01357 | − | 4.97135i | −0.108881 | − | 0.268820i | ||||
\(343\) | −2.62146 | −0.141546 | ||||||||
\(344\) | 3.26422 | + | 9.15520i | 0.175995 | + | 0.493615i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.3458 | − | 9.89018i | 0.717473 | − | 0.531700i | ||||
\(347\) | −34.9886 | −1.87829 | −0.939143 | − | 0.343525i | \(-0.888379\pi\) | ||||
−0.939143 | + | 0.343525i | \(0.888379\pi\) | |||||||
\(348\) | 3.36212 | + | 1.50842i | 0.180229 | + | 0.0808600i | ||||
\(349\) | 8.24993i | 0.441609i | 0.975318 | + | 0.220804i | \(0.0708682\pi\) | ||||
−0.975318 | + | 0.220804i | \(0.929132\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.28290 | − | 8.23400i | 0.175228 | − | 0.439498i | ||||
\(352\) | 28.6710 | − | 1.35489i | 1.52817 | − | 0.0722157i | ||||
\(353\) | 0.935042 | 0.0497673 | 0.0248836 | − | 0.999690i | \(-0.492078\pi\) | ||||
0.0248836 | + | 0.999690i | \(0.492078\pi\) | |||||||
\(354\) | −0.944863 | − | 1.68404i | −0.0502189 | − | 0.0895059i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −22.1467 | − | 6.73618i | −1.17377 | − | 0.357017i | ||||
\(357\) | 3.24906 | − | 25.5549i | 0.171958 | − | 1.35251i | ||||
\(358\) | 0.530457 | − | 0.393107i | 0.0280355 | − | 0.0207763i | ||||
\(359\) | 32.5813 | 1.71957 | 0.859787 | − | 0.510653i | \(-0.170596\pi\) | ||||
0.859787 | + | 0.510653i | \(0.170596\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.4017 | −0.915881 | ||||||||
\(362\) | 18.8190 | − | 13.9462i | 0.989103 | − | 0.732997i | ||||
\(363\) | 3.22128 | − | 25.3364i | 0.169074 | − | 1.32982i | ||||
\(364\) | −3.61822 | + | 11.8957i | −0.189646 | + | 0.623504i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.752213 | − | 1.34068i | −0.0393188 | − | 0.0700785i | ||||
\(367\) | 0.791919 | 0.0413378 | 0.0206689 | − | 0.999786i | \(-0.493420\pi\) | ||||
0.0206689 | + | 0.999786i | \(0.493420\pi\) | |||||||
\(368\) | −10.4695 | + | 15.6182i | −0.545762 | + | 0.814156i | ||||
\(369\) | −1.12712 | + | 4.36094i | −0.0586757 | + | 0.227022i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 32.3351i | 1.67876i | ||||||||
\(372\) | 6.90496 | − | 15.3905i | 0.358006 | − | 0.797958i | ||||
\(373\) | −18.7335 | −0.969982 | −0.484991 | − | 0.874519i | \(-0.661177\pi\) | ||||
−0.484991 | + | 0.874519i | \(0.661177\pi\) | |||||||
\(374\) | 23.5289 | − | 17.4366i | 1.21665 | − | 0.901624i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 10.3704 | + | 29.0861i | 0.534814 | + | 1.50000i | ||||
\(377\) | −1.81472 | −0.0934630 | ||||||||
\(378\) | 25.8908 | − | 6.84255i | 1.33168 | − | 0.351943i | ||||
\(379\) | −8.88244 | −0.456260 | −0.228130 | − | 0.973631i | \(-0.573261\pi\) | ||||
−0.228130 | + | 0.973631i | \(0.573261\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.22990 | − | 9.67352i | 0.0630095 | − | 0.495590i | ||||
\(382\) | 5.46565 | + | 7.37532i | 0.279647 | + | 0.377354i | ||||
\(383\) | − | 3.48418i | − | 0.178033i | −0.996030 | − | 0.0890167i | \(-0.971628\pi\) | ||
0.996030 | − | 0.0890167i | \(-0.0283724\pi\) | |||||||
\(384\) | −7.16854 | + | 18.2377i | −0.365818 | + | 0.930686i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 12.9544 | − | 9.60017i | 0.659363 | − | 0.488636i | ||||
\(387\) | −2.57976 | + | 9.98132i | −0.131137 | + | 0.507379i | ||||
\(388\) | 14.1620 | + | 4.30756i | 0.718969 | + | 0.218683i | ||||
\(389\) | −24.8027 | −1.25754 | −0.628772 | − | 0.777590i | \(-0.716442\pi\) | ||||
−0.628772 | + | 0.777590i | \(0.716442\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.1842i | 0.970188i | ||||||||
\(392\) | −16.7326 | + | 5.96591i | −0.845126 | + | 0.301324i | ||||
\(393\) | −2.85594 | − | 0.363105i | −0.144063 | − | 0.0183162i | ||||
\(394\) | −4.04598 | + | 2.99837i | −0.203834 | + | 0.151055i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 25.9831 | + | 15.8659i | 1.30570 | + | 0.797291i | ||||
\(397\) | −15.5873 | −0.782306 | −0.391153 | − | 0.920326i | \(-0.627924\pi\) | ||||
−0.391153 | + | 0.920326i | \(0.627924\pi\) | |||||||
\(398\) | −5.00475 | + | 3.70888i | −0.250865 | + | 0.185909i | ||||
\(399\) | −1.00646 | + | 7.91612i | −0.0503860 | + | 0.396302i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 26.3852i | − | 1.31761i | −0.752313 | − | 0.658806i | \(-0.771062\pi\) | ||
0.752313 | − | 0.658806i | \(-0.228938\pi\) | |||||||
\(402\) | −5.01214 | − | 8.93321i | −0.249983 | − | 0.445548i | ||||
\(403\) | 8.30708i | 0.413805i | ||||||||
\(404\) | 5.90934 | − | 19.4283i | 0.294001 | − | 0.966592i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.26422 | − | 4.40473i | −0.162001 | − | 0.218603i | ||||
\(407\) | 38.4017i | 1.90350i | ||||||||
\(408\) | 4.28570 | + | 19.5289i | 0.212174 | + | 0.966823i | ||||
\(409\) | 0.497143 | 0.0245821 | 0.0122911 | − | 0.999924i | \(-0.496088\pi\) | ||||
0.0122911 | + | 0.999924i | \(0.496088\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 2.91756 | − | 22.9475i | 0.143912 | − | 1.13192i | ||||
\(412\) | −9.04422 | + | 29.7349i | −0.445577 | + | 1.46493i | ||||
\(413\) | 2.87288i | 0.141365i | ||||||||
\(414\) | −18.4846 | + | 7.48688i | −0.908466 | + | 0.367960i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.455526 | − | 9.63949i | −0.0223340 | − | 0.472615i | ||||
\(417\) | 3.13570 | − | 24.6633i | 0.153556 | − | 1.20777i | ||||
\(418\) | −7.28853 | + | 5.40133i | −0.356494 | + | 0.264187i | ||||
\(419\) | 11.0240i | 0.538556i | 0.963063 | + | 0.269278i | \(0.0867850\pi\) | ||||
−0.963063 | + | 0.269278i | \(0.913215\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.0971i | 0.540840i | 0.962742 | + | 0.270420i | \(0.0871626\pi\) | ||||
−0.962742 | + | 0.270420i | \(0.912837\pi\) | |||||||
\(422\) | −13.5878 | − | 18.3353i | −0.661443 | − | 0.892549i | ||||
\(423\) | −8.19589 | + | 31.7106i | −0.398498 | + | 1.54182i | ||||
\(424\) | −8.42822 | − | 23.6387i | −0.409311 | − | 1.14800i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −13.2807 | + | 7.45135i | −0.643450 | + | 0.361019i | ||||
\(427\) | 2.28712i | 0.110681i | ||||||||
\(428\) | −8.65470 | + | 28.4542i | −0.418340 | + | 1.37539i | ||||
\(429\) | −14.8729 | − | 1.89094i | −0.718069 | − | 0.0912956i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −6.84000 | −0.329471 | −0.164736 | − | 0.986338i | \(-0.552677\pi\) | ||||
−0.164736 | + | 0.986338i | \(0.552677\pi\) | |||||||
\(432\) | −17.1441 | + | 11.7508i | −0.824845 | + | 0.565360i | ||||
\(433\) | 38.6378i | 1.85681i | 0.371567 | + | 0.928406i | \(0.378821\pi\) | ||||
−0.371567 | + | 0.928406i | \(0.621179\pi\) | |||||||
\(434\) | −20.1631 | + | 14.9423i | −0.967860 | + | 0.717254i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −20.1631 | − | 6.13285i | −0.965638 | − | 0.293710i | ||||
\(437\) | − | 5.94269i | − | 0.284277i | ||||||
\(438\) | −5.05422 | − | 9.00822i | −0.241500 | − | 0.430429i | ||||
\(439\) | 4.07908i | 0.194684i | 0.995251 | + | 0.0973420i | \(0.0310341\pi\) | ||||
−0.995251 | + | 0.0973420i | \(0.968966\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −18.2425 | − | 4.71494i | −0.868692 | − | 0.224521i | ||||
\(442\) | −5.86236 | − | 7.91064i | −0.278844 | − | 0.376271i | ||||
\(443\) | −12.7140 | −0.604059 | −0.302030 | − | 0.953299i | \(-0.597664\pi\) | ||||
−0.302030 | + | 0.953299i | \(0.597664\pi\) | |||||||
\(444\) | −23.9202 | − | 10.7319i | −1.13520 | − | 0.509311i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −5.13191 | − | 6.92498i | −0.243003 | − | 0.327907i | ||||
\(447\) | −3.99209 | + | 31.3991i | −0.188819 | + | 1.48513i | ||||
\(448\) | 22.5778 | − | 18.4447i | 1.06670 | − | 0.871428i | ||||
\(449\) | − | 31.2985i | − | 1.47707i | −0.674217 | − | 0.738533i | \(-0.735519\pi\) | ||
0.674217 | − | 0.738533i | \(-0.264481\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.61822 | 0.358728 | ||||||||
\(452\) | −5.78711 | + | 19.0264i | −0.272203 | + | 0.894927i | ||||
\(453\) | 28.8063 | + | 3.66244i | 1.35344 | + | 0.172077i | ||||
\(454\) | 17.2339 | + | 23.2554i | 0.808827 | + | 1.09143i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.32758 | − | 6.04945i | −0.0621696 | − | 0.283291i | ||||
\(457\) | 29.1097i | 1.36170i | 0.732425 | + | 0.680848i | \(0.238388\pi\) | ||||
−0.732425 | + | 0.680848i | \(0.761612\pi\) | |||||||
\(458\) | 30.0789 | − | 22.2906i | 1.40549 | − | 1.04157i | ||||
\(459\) | −7.85379 | + | 19.6985i | −0.366583 | + | 0.919446i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.00687071 | −0.000320001 | −0.000160001 | − | 1.00000i | \(-0.500051\pi\) | ||||
−0.000160001 | 1.00000i | \(0.500051\pi\) | ||||||||
\(462\) | −22.1628 | − | 39.5011i | −1.03111 | − | 1.83776i | ||||
\(463\) | 17.9904 | 0.836086 | 0.418043 | − | 0.908427i | \(-0.362716\pi\) | ||||
0.418043 | + | 0.908427i | \(0.362716\pi\) | |||||||
\(464\) | 3.53443 | + | 2.36927i | 0.164082 | + | 0.109991i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −20.5262 | − | 27.6980i | −0.950858 | − | 1.28308i | ||||
\(467\) | 3.99927 | 0.185064 | 0.0925321 | − | 0.995710i | \(-0.470504\pi\) | ||||
0.0925321 | + | 0.995710i | \(0.470504\pi\) | |||||||
\(468\) | 5.33427 | − | 8.73578i | 0.246577 | − | 0.403811i | ||||
\(469\) | 15.2395i | 0.703695i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.37913 | + | 10.8473i | −0.0635470 | + | 0.499817i | ||||
\(472\) | −0.748822 | − | 2.10023i | −0.0344673 | − | 0.0966708i | ||||
\(473\) | 17.4366 | 0.801735 | ||||||||
\(474\) | −1.19000 | − | 2.12095i | −0.0546585 | − | 0.0974186i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 8.65598 | − | 28.4585i | 0.396746 | − | 1.30439i | ||||
\(477\) | 6.66093 | − | 25.7718i | 0.304983 | − | 1.18001i | ||||
\(478\) | 4.60717 | + | 6.21689i | 0.210727 | + | 0.284354i | ||||
\(479\) | 34.1467 | 1.56020 | 0.780101 | − | 0.625654i | \(-0.215168\pi\) | ||||
0.780101 | + | 0.625654i | \(0.215168\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.9111 | 0.588693 | ||||||||
\(482\) | 20.7513 | + | 28.0018i | 0.945197 | + | 1.27545i | ||||
\(483\) | 29.4339 | + | 3.74223i | 1.33929 | + | 0.170278i | ||||
\(484\) | 8.58200 | − | 28.2152i | 0.390091 | − | 1.28251i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −22.0451 | + | 0.120220i | −0.999985 | + | 0.00545330i | ||||
\(487\) | 0.851820 | 0.0385997 | 0.0192998 | − | 0.999814i | \(-0.493856\pi\) | ||||
0.0192998 | + | 0.999814i | \(0.493856\pi\) | |||||||
\(488\) | −0.596143 | − | 1.67201i | −0.0269861 | − | 0.0756883i | ||||
\(489\) | 4.62389 | + | 0.587884i | 0.209100 | + | 0.0265850i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 6.09115i | − | 0.274890i | −0.990509 | − | 0.137445i | \(-0.956111\pi\) | ||
0.990509 | − | 0.137445i | \(-0.0438890\pi\) | |||||||
\(492\) | −2.12901 | + | 4.74534i | −0.0959831 | + | 0.213937i | ||||
\(493\) | 4.34142 | 0.195528 | ||||||||
\(494\) | 1.81598 | + | 2.45048i | 0.0817048 | + | 0.110252i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10.8456 | − | 16.1792i | 0.486980 | − | 0.726468i | ||||
\(497\) | 22.6560 | 1.01626 | ||||||||
\(498\) | −16.5032 | + | 9.25944i | −0.739528 | + | 0.414925i | ||||
\(499\) | −13.1375 | −0.588116 | −0.294058 | − | 0.955788i | \(-0.595006\pi\) | ||||
−0.294058 | + | 0.955788i | \(0.595006\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 28.6312 | + | 3.64018i | 1.27915 | + | 0.162631i | ||||
\(502\) | 1.98808 | − | 1.47331i | 0.0887324 | − | 0.0657571i | ||||
\(503\) | − | 27.6064i | − | 1.23091i | −0.788172 | − | 0.615455i | \(-0.788972\pi\) | ||
0.788172 | − | 0.615455i | \(-0.211028\pi\) | |||||||
\(504\) | 30.7987 | − | 2.76598i | 1.37188 | − | 0.123207i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 20.0833 | + | 27.1003i | 0.892812 | + | 1.20476i | ||||
\(507\) | 2.20416 | − | 17.3364i | 0.0978902 | − | 0.769938i | ||||
\(508\) | 3.27663 | − | 10.7726i | 0.145377 | − | 0.477959i | ||||
\(509\) | −5.46468 | −0.242218 | −0.121109 | − | 0.992639i | \(-0.538645\pi\) | ||||
−0.121109 | + | 0.992639i | \(0.538645\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 15.3675i | 0.679817i | ||||||||
\(512\) | −11.6979 | + | 19.3690i | −0.516981 | + | 0.855997i | ||||
\(513\) | 2.43287 | − | 6.10199i | 0.107414 | − | 0.269409i | ||||
\(514\) | −4.44290 | − | 5.99523i | −0.195968 | − | 0.264438i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −4.87288 | + | 10.8611i | −0.214516 | + | 0.478135i | ||||
\(517\) | 55.3960 | 2.43631 | ||||||||
\(518\) | 23.2237 | + | 31.3380i | 1.02039 | + | 1.37691i | ||||
\(519\) | 20.1818 | + | 2.56592i | 0.885882 | + | 0.112631i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 39.1312i | − | 1.71437i | −0.515010 | − | 0.857184i | \(-0.672212\pi\) | ||
0.515010 | − | 0.857184i | \(-0.327788\pi\) | |||||||
\(522\) | 1.69429 | + | 4.18308i | 0.0741572 | + | 0.183089i | ||||
\(523\) | 14.3467i | 0.627336i | 0.949533 | + | 0.313668i | \(0.101558\pi\) | ||||
−0.949533 | + | 0.313668i | \(0.898442\pi\) | |||||||
\(524\) | −3.18043 | − | 0.967367i | −0.138938 | − | 0.0422596i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.03433 | + | 1.50758i | −0.0887009 | + | 0.0657338i | ||||
\(527\) | − | 19.8733i | − | 0.865694i | ||||||
\(528\) | 26.4982 | + | 23.1006i | 1.15319 | + | 1.00533i | ||||
\(529\) | 0.903770 | 0.0392944 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.591804 | − | 2.28974i | 0.0256821 | − | 0.0993664i | ||||
\(532\) | −2.68136 | + | 8.81557i | −0.116252 | + | 0.382203i | ||||
\(533\) | − | 2.56132i | − | 0.110943i | ||||||
\(534\) | −13.8725 | − | 24.7251i | −0.600320 | − | 1.06996i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.97221 | − | 11.1409i | −0.171574 | − | 0.481214i | ||||
\(537\) | 0.802169 | + | 0.101988i | 0.0346161 | + | 0.00440111i | ||||
\(538\) | −15.7525 | − | 21.2564i | −0.679140 | − | 0.916429i | ||||
\(539\) | 31.8682i | 1.37266i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.8846i | 1.28484i | 0.766352 | + | 0.642420i | \(0.222070\pi\) | ||||
−0.766352 | + | 0.642420i | \(0.777930\pi\) | |||||||
\(542\) | 28.2284 | − | 20.9193i | 1.21252 | − | 0.898562i | ||||
\(543\) | 28.4585 | + | 3.61822i | 1.22127 | + | 0.155273i | ||||
\(544\) | 1.08977 | + | 23.0609i | 0.0467235 | + | 0.988727i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −13.2807 | + | 7.45135i | −0.568360 | + | 0.318888i | ||||
\(547\) | − | 2.78046i | − | 0.118884i | −0.998232 | − | 0.0594418i | \(-0.981068\pi\) | ||
0.998232 | − | 0.0594418i | \(-0.0189321\pi\) | |||||||
\(548\) | 7.77282 | − | 25.5549i | 0.332038 | − | 1.09165i | ||||
\(549\) | 0.471140 | − | 1.82288i | 0.0201078 | − | 0.0777987i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.34484 | −0.0572921 | ||||||||
\(552\) | −22.4932 | + | 4.93623i | −0.957373 | + | 0.210100i | ||||
\(553\) | 3.61822i | 0.153862i | ||||||||
\(554\) | −24.5896 | − | 33.1811i | −1.04471 | − | 1.40973i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.35399 | − | 27.4656i | 0.354288 | − | 1.16480i | ||||
\(557\) | − | 39.3640i | − | 1.66791i | −0.551836 | − | 0.833953i | \(-0.686073\pi\) | ||
0.551836 | − | 0.833953i | \(-0.313927\pi\) | |||||||
\(558\) | 19.1485 | − | 7.75580i | 0.810620 | − | 0.328329i | ||||
\(559\) | − | 5.86236i | − | 0.247951i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 35.5809 | + | 4.52376i | 1.50223 | + | 0.190994i | ||||
\(562\) | −26.1168 | + | 19.3544i | −1.10167 | + | 0.816416i | ||||
\(563\) | −16.1259 | −0.679624 | −0.339812 | − | 0.940493i | \(-0.610363\pi\) | ||||
−0.339812 | + | 0.940493i | \(0.610363\pi\) | |||||||
\(564\) | −15.4811 | + | 34.5058i | −0.651873 | + | 1.45296i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −2.31234 | + | 1.71361i | −0.0971949 | + | 0.0720284i | ||||
\(567\) | 28.6908 | + | 15.8924i | 1.20490 | + | 0.667419i | ||||
\(568\) | −16.5628 | + | 5.90534i | −0.694958 | + | 0.247783i | ||||
\(569\) | 8.55906i | 0.358814i | 0.983775 | + | 0.179407i | \(0.0574180\pi\) | ||||
−0.983775 | + | 0.179407i | \(0.942582\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.6984 | 1.45208 | 0.726042 | − | 0.687650i | \(-0.241358\pi\) | ||||
0.726042 | + | 0.687650i | \(0.241358\pi\) | |||||||
\(572\) | −16.5628 | − | 5.03776i | −0.692524 | − | 0.210639i | ||||
\(573\) | −1.41801 | + | 11.1531i | −0.0592383 | + | 0.465929i | ||||
\(574\) | 6.21689 | − | 4.60717i | 0.259488 | − | 0.192299i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −21.7945 | + | 10.0498i | −0.908105 | + | 0.418742i | ||||
\(577\) | − | 32.8684i | − | 1.36833i | −0.729328 | − | 0.684165i | \(-0.760167\pi\) | ||
0.729328 | − | 0.684165i | \(-0.239833\pi\) | |||||||
\(578\) | −0.289670 | − | 0.390879i | −0.0120487 | − | 0.0162584i | ||||
\(579\) | 19.5900 | + | 2.49068i | 0.814132 | + | 0.103509i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 28.1535 | 1.16801 | ||||||||
\(582\) | 8.87097 | + | 15.8109i | 0.367714 | + | 0.655382i | ||||
\(583\) | −45.0212 | −1.86459 | ||||||||
\(584\) | −4.00557 | − | 11.2345i | −0.165752 | − | 0.464885i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.81733 | − | 5.05213i | 0.281621 | − | 0.208702i | ||||
\(587\) | 15.4302 | 0.636872 | 0.318436 | − | 0.947944i | \(-0.396842\pi\) | ||||
0.318436 | + | 0.947944i | \(0.396842\pi\) | |||||||
\(588\) | −19.8505 | − | 8.90599i | −0.818622 | − | 0.367277i | ||||
\(589\) | 6.15614i | 0.253659i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.11843 | − | 0.777899i | −0.251678 | − | 0.0319985i | ||||
\(592\) | −25.1461 | − | 16.8564i | −1.03350 | − | 0.692795i | ||||
\(593\) | 14.0511 | 0.577008 | 0.288504 | − | 0.957479i | \(-0.406842\pi\) | ||||
0.288504 | + | 0.957479i | \(0.406842\pi\) | |||||||
\(594\) | 9.52710 | + | 36.0486i | 0.390902 | + | 1.47909i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −10.6355 | + | 34.9667i | −0.435649 | + | 1.43229i | ||||
\(597\) | −7.56830 | − | 0.962236i | −0.309750 | − | 0.0393817i | ||||
\(598\) | 9.11141 | − | 6.75221i | 0.372593 | − | 0.276119i | ||||
\(599\) | −30.0200 | −1.22658 | −0.613291 | − | 0.789857i | \(-0.710155\pi\) | ||||
−0.613291 | + | 0.789857i | \(0.710155\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −29.3006 | −1.19520 | −0.597599 | − | 0.801795i | \(-0.703878\pi\) | ||||
−0.597599 | + | 0.801795i | \(0.703878\pi\) | |||||||
\(602\) | 14.2292 | − | 10.5449i | 0.579940 | − | 0.429777i | ||||
\(603\) | 3.13929 | − | 12.1462i | 0.127842 | − | 0.494632i | ||||
\(604\) | 32.0793 | + | 9.75731i | 1.30529 | + | 0.397019i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 21.6902 | − | 12.1697i | 0.881104 | − | 0.494359i | ||||
\(607\) | 38.9265 | 1.57998 | 0.789989 | − | 0.613122i | \(-0.210086\pi\) | ||||
0.789989 | + | 0.613122i | \(0.210086\pi\) | |||||||
\(608\) | −0.337578 | − | 7.14356i | −0.0136906 | − | 0.289710i | ||||
\(609\) | 0.846874 | − | 6.66093i | 0.0343171 | − | 0.269915i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 18.6247i | − | 0.753474i | ||||||
\(612\) | −12.7614 | + | 20.8989i | −0.515847 | + | 0.844787i | ||||
\(613\) | −28.9092 | −1.16763 | −0.583816 | − | 0.811886i | \(-0.698441\pi\) | ||||
−0.583816 | + | 0.811886i | \(0.698441\pi\) | |||||||
\(614\) | −21.6503 | + | 16.0444i | −0.873735 | + | 0.647501i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −17.5644 | − | 49.2631i | −0.707691 | − | 1.98487i | ||||
\(617\) | 26.5340 | 1.06822 | 0.534109 | − | 0.845416i | \(-0.320647\pi\) | ||||
0.534109 | + | 0.845416i | \(0.320647\pi\) | |||||||
\(618\) | −33.1968 | + | 18.6257i | −1.33537 | + | 0.749234i | ||||
\(619\) | 17.9531 | 0.721595 | 0.360798 | − | 0.932644i | \(-0.382505\pi\) | ||||
0.360798 | + | 0.932644i | \(0.382505\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −22.6885 | − | 9.04593i | −0.910459 | − | 0.363001i | ||||
\(622\) | 21.9685 | + | 29.6442i | 0.880857 | + | 1.18863i | ||||
\(623\) | 42.1795i | 1.68989i | ||||||||
\(624\) | 7.76667 | − | 8.90898i | 0.310916 | − | 0.356644i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 22.9284 | − | 16.9916i | 0.916404 | − | 0.679122i | ||||
\(627\) | −11.0219 | − | 1.40133i | −0.440171 | − | 0.0559635i | ||||
\(628\) | −3.67421 | + | 12.0798i | −0.146617 | + | 0.482036i | ||||
\(629\) | −30.8875 | −1.23157 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.8875i | 1.34904i | 0.738257 | + | 0.674520i | \(0.235649\pi\) | ||||
−0.738257 | + | 0.674520i | \(0.764351\pi\) | |||||||
\(632\) | −0.943097 | − | 2.64511i | −0.0375144 | − | 0.105217i | ||||
\(633\) | 3.52523 | − | 27.7271i | 0.140115 | − | 1.10205i | ||||
\(634\) | −8.88068 | + | 6.58123i | −0.352697 | + | 0.261374i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 12.5818 | − | 28.0434i | 0.498899 | − | 1.11199i | ||||
\(637\) | 10.7144 | 0.424521 | ||||||||
\(638\) | 6.13285 | − | 4.54489i | 0.242802 | − | 0.179934i | ||||
\(639\) | −18.0573 | − | 4.66707i | −0.714336 | − | 0.184626i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 16.1456i | 0.637711i | 0.947803 | + | 0.318856i | \(0.103298\pi\) | ||||
−0.947803 | + | 0.318856i | \(0.896702\pi\) | |||||||
\(642\) | −31.7670 | + | 17.8235i | −1.25374 | + | 0.703436i | ||||
\(643\) | − | 41.9604i | − | 1.65476i | −0.561645 | − | 0.827378i | \(-0.689831\pi\) | ||
0.561645 | − | 0.827378i | \(-0.310169\pi\) | |||||||
\(644\) | 32.7782 | + | 9.96989i | 1.29164 | + | 0.392869i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.34443 | − | 5.86236i | −0.170929 | − | 0.230651i | ||||
\(647\) | 9.10158i | 0.357820i | 0.983865 | + | 0.178910i | \(0.0572571\pi\) | ||||
−0.983865 | + | 0.178910i | \(0.942743\pi\) | |||||||
\(648\) | −25.1170 | − | 4.13988i | −0.986687 | − | 0.162630i | ||||
\(649\) | −4.00000 | −0.157014 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −30.4911 | − | 3.87665i | −1.19504 | − | 0.151938i | ||||
\(652\) | 5.14927 | + | 1.56621i | 0.201661 | + | 0.0613376i | ||||
\(653\) | 12.0573i | 0.471839i | 0.971773 | + | 0.235919i | \(0.0758102\pi\) | ||||
−0.971773 | + | 0.235919i | \(0.924190\pi\) | |||||||
\(654\) | −12.6300 | − | 22.5106i | −0.493871 | − | 0.880235i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −3.34402 | + | 4.98854i | −0.130562 | + | 0.194770i | ||||
\(657\) | 3.16565 | − | 12.2482i | 0.123504 | − | 0.477848i | ||||
\(658\) | 45.2062 | − | 33.5011i | 1.76232 | − | 1.30601i | ||||
\(659\) | − | 12.1916i | − | 0.474916i | −0.971398 | − | 0.237458i | \(-0.923686\pi\) | ||
0.971398 | − | 0.237458i | \(-0.0763142\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.0284i | 0.856806i | 0.903588 | + | 0.428403i | \(0.140924\pi\) | ||||
−0.903588 | + | 0.428403i | \(0.859076\pi\) | |||||||
\(662\) | −8.45596 | − | 11.4104i | −0.328650 | − | 0.443479i | ||||
\(663\) | 1.52094 | − | 11.9626i | 0.0590682 | − | 0.464591i | ||||
\(664\) | −20.5818 | + | 7.33828i | −0.798727 | + | 0.284781i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −12.0542 | − | 29.7610i | −0.467093 | − | 1.15322i | ||||
\(667\) | 5.00041i | 0.193617i | ||||||||
\(668\) | 31.8844 | + | 9.69801i | 1.23364 | + | 0.375227i | ||||
\(669\) | 1.33143 | − | 10.4721i | 0.0514759 | − | 0.404875i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.18443 | −0.122934 | ||||||||
\(672\) | 35.5943 | + | 2.82644i | 1.37308 | + | 0.109032i | ||||
\(673\) | − | 25.3258i | − | 0.976238i | −0.872777 | − | 0.488119i | \(-0.837683\pi\) | ||
0.872777 | − | 0.488119i | \(-0.162317\pi\) | |||||||
\(674\) | 20.3080 | − | 15.0497i | 0.782235 | − | 0.579693i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.87223 | − | 19.3062i | 0.225855 | − | 0.742548i | ||||
\(677\) | 21.9435i | 0.843358i | 0.906745 | + | 0.421679i | \(0.138559\pi\) | ||||
−0.906745 | + | 0.421679i | \(0.861441\pi\) | |||||||
\(678\) | −21.2416 | + | 11.9180i | −0.815778 | + | 0.457707i | ||||
\(679\) | − | 26.9724i | − | 1.03511i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.47118 | + | 35.1673i | −0.171336 | + | 1.34761i | ||||
\(682\) | −20.8047 | − | 28.0737i | −0.796652 | − | 1.07500i | ||||
\(683\) | 16.0383 | 0.613687 | 0.306844 | − | 0.951760i | \(-0.400727\pi\) | ||||
0.306844 | + | 0.951760i | \(0.400727\pi\) | |||||||
\(684\) | 3.95308 | − | 6.47384i | 0.151150 | − | 0.247533i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.20733 | − | 2.97856i | −0.0842762 | − | 0.113722i | ||||
\(687\) | 45.4860 | + | 5.78311i | 1.73540 | + | 0.220639i | ||||
\(688\) | −7.65379 | + | 11.4178i | −0.291798 | + | 0.435298i | ||||
\(689\) | 15.1366i | 0.576658i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.0993 | −0.878740 | −0.439370 | − | 0.898306i | \(-0.644798\pi\) | ||||
−0.439370 | + | 0.898306i | \(0.644798\pi\) | |||||||
\(692\) | 22.4749 | + | 6.83600i | 0.854367 | + | 0.259866i | ||||
\(693\) | 13.8814 | − | 53.7084i | 0.527311 | − | 2.04021i | ||||
\(694\) | −29.4612 | − | 39.7548i | −1.11833 | − | 1.50907i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.11708 | + | 5.09024i | 0.0423427 | + | 0.192945i | ||||
\(697\) | 6.12753i | 0.232097i | ||||||||
\(698\) | −9.37375 | + | 6.94662i | −0.354802 | + | 0.262934i | ||||
\(699\) | 5.32534 | − | 41.8855i | 0.201423 | − | 1.58426i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.254246 | 0.00960274 | 0.00480137 | − | 0.999988i | \(-0.498472\pi\) | ||||
0.00480137 | + | 0.999988i | \(0.498472\pi\) | |||||||
\(702\) | 12.1199 | − | 3.20311i | 0.457437 | − | 0.120894i | ||||
\(703\) | 9.56802 | 0.360865 | ||||||||
\(704\) | 25.6811 | + | 31.4358i | 0.967893 | + | 1.18478i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.787326 | + | 1.06241i | 0.0296314 | + | 0.0399845i | ||||
\(707\) | −37.0022 | −1.39161 | ||||||||
\(708\) | 1.11785 | − | 2.49158i | 0.0420114 | − | 0.0936391i | ||||
\(709\) | − | 19.9746i | − | 0.750163i | −0.926992 | − | 0.375082i | \(-0.877615\pi\) | ||
0.926992 | − | 0.375082i | \(-0.122385\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.745342 | − | 2.88380i | 0.0279525 | − | 0.108151i | ||||
\(712\) | −10.9942 | − | 30.8355i | −0.412025 | − | 1.15561i | ||||
\(713\) | 22.8899 | 0.857233 | ||||||||
\(714\) | 31.7718 | − | 17.8261i | 1.18903 | − | 0.667125i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.893313 | + | 0.271712i | 0.0333847 | + | 0.0101543i | ||||
\(717\) | −1.19529 | + | 9.40133i | −0.0446389 | + | 0.351099i | ||||
\(718\) | 27.4342 | + | 37.0195i | 1.02383 | + | 1.38156i | ||||
\(719\) | 33.7978 | 1.26044 | 0.630222 | − | 0.776415i | \(-0.282964\pi\) | ||||
0.630222 | + | 0.776415i | \(0.282964\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 56.6317 | 2.10908 | ||||||||
\(722\) | −14.6526 | − | 19.7722i | −0.545315 | − | 0.735846i | ||||
\(723\) | −5.38374 | + | 42.3449i | −0.200224 | + | 1.57482i | ||||
\(724\) | 31.6920 | + | 9.63949i | 1.17782 | + | 0.358249i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 31.5002 | − | 17.6737i | 1.16908 | − | 0.655934i | ||||
\(727\) | −27.0308 | −1.00252 | −0.501258 | − | 0.865298i | \(-0.667129\pi\) | ||||
−0.501258 | + | 0.865298i | \(0.667129\pi\) | |||||||
\(728\) | −16.5628 | + | 5.90534i | −0.613857 | + | 0.218866i | ||||
\(729\) | −19.5934 | − | 18.5768i | −0.725682 | − | 0.688030i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 14.0247i | 0.518722i | ||||||||
\(732\) | 0.889930 | − | 1.98356i | 0.0328928 | − | 0.0733146i | ||||
\(733\) | −15.8811 | −0.586583 | −0.293291 | − | 0.956023i | \(-0.594751\pi\) | ||||
−0.293291 | + | 0.956023i | \(0.594751\pi\) | |||||||
\(734\) | 0.666813 | + | 0.899795i | 0.0246125 | + | 0.0332121i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −26.5613 | + | 1.25519i | −0.979063 | + | 0.0462669i | ||||
\(737\) | −21.2185 | −0.781592 | ||||||||
\(738\) | −5.90406 | + | 2.39135i | −0.217331 | + | 0.0880267i | ||||
\(739\) | 14.1753 | 0.521446 | 0.260723 | − | 0.965414i | \(-0.416039\pi\) | ||||
0.260723 | + | 0.965414i | \(0.416039\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.471140 | + | 3.70567i | −0.0173078 | + | 0.136131i | ||||
\(742\) | −36.7398 | + | 27.2269i | −1.34876 | + | 0.999530i | ||||
\(743\) | 29.5744i | 1.08498i | 0.840063 | + | 0.542489i | \(0.182518\pi\) | ||||
−0.840063 | + | 0.542489i | \(0.817482\pi\) | |||||||
\(744\) | 23.3011 | − | 5.11353i | 0.854260 | − | 0.187471i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −15.7740 | − | 21.2854i | −0.577527 | − | 0.779313i | ||||
\(747\) | −22.4390 | − | 5.79954i | −0.820999 | − | 0.212194i | ||||
\(748\) | 39.6236 | + | 12.0520i | 1.44878 | + | 0.440665i | ||||
\(749\) | 54.1926 | 1.98016 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.58573i | 0.276807i | 0.990376 | + | 0.138404i | \(0.0441971\pi\) | ||||
−0.990376 | + | 0.138404i | \(0.955803\pi\) | |||||||
\(752\) | −24.3161 | + | 36.2742i | −0.886716 | + | 1.32278i | ||||
\(753\) | 3.00642 | + | 0.382237i | 0.109560 | + | 0.0139295i | ||||
\(754\) | −1.52804 | − | 2.06193i | −0.0556478 | − | 0.0750909i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 29.5753 | + | 23.6561i | 1.07564 | + | 0.860366i | ||||
\(757\) | −31.1258 | −1.13129 | −0.565643 | − | 0.824650i | \(-0.691372\pi\) | ||||
−0.565643 | + | 0.824650i | \(0.691372\pi\) | |||||||
\(758\) | −7.47921 | − | 10.0924i | −0.271657 | − | 0.366573i | ||||
\(759\) | −5.21043 | + | 40.9817i | −0.189127 | + | 1.48754i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 8.24575i | 0.298908i | 0.988769 | + | 0.149454i | \(0.0477516\pi\) | ||||
−0.988769 | + | 0.149454i | \(0.952248\pi\) | |||||||
\(762\) | 12.0269 | − | 6.74789i | 0.435687 | − | 0.244450i | ||||
\(763\) | 38.4017i | 1.39024i | ||||||||
\(764\) | −3.77780 | + | 12.4204i | −0.136676 | + | 0.449353i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.95880 | − | 2.93376i | 0.143037 | − | 0.106001i | ||||
\(767\) | 1.34484i | 0.0485594i | ||||||||
\(768\) | −26.7581 | + | 7.21146i | −0.965549 | + | 0.260221i | ||||
\(769\) | 26.3262 | 0.949347 | 0.474674 | − | 0.880162i | \(-0.342566\pi\) | ||||
0.474674 | + | 0.880162i | \(0.342566\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.15267 | − | 9.06612i | 0.0415124 | − | 0.326508i | ||||
\(772\) | 21.8158 | + | 6.63555i | 0.785169 | + | 0.238819i | ||||
\(773\) | − | 27.2417i | − | 0.979817i | −0.871774 | − | 0.489909i | \(-0.837030\pi\) | ||
0.871774 | − | 0.489909i | \(-0.162970\pi\) | |||||||
\(774\) | −13.5132 | + | 5.47332i | −0.485722 | + | 0.196734i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.03041 | + | 19.7183i | 0.252377 | + | 0.707845i | ||||
\(777\) | −6.02518 | + | 47.3900i | −0.216152 | + | 1.70011i | ||||
\(778\) | −20.8844 | − | 28.1813i | −0.748741 | − | 1.01035i | ||||
\(779\) | − | 1.89812i | − | 0.0680074i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.5447i | 1.12876i | ||||||||
\(782\) | −21.7975 | + | 16.1535i | −0.779478 | + | 0.577649i | ||||
\(783\) | −2.04711 | + | 5.13445i | −0.0731577 | + | 0.183490i | ||||
\(784\) | −20.8679 | − | 13.9886i | −0.745281 | − | 0.499592i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −1.99219 | − | 3.55072i | −0.0710592 | − | 0.126650i | ||||
\(787\) | − | 26.9324i | − | 0.960037i | −0.877258 | − | 0.480019i | \(-0.840630\pi\) | ||
0.877258 | − | 0.480019i | \(-0.159370\pi\) | |||||||
\(788\) | −6.81361 | − | 2.07244i | −0.242725 | − | 0.0738277i | ||||
\(789\) | −3.07636 | − | 0.391129i | −0.109521 | − | 0.0139246i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 36.2369 | 1.28843 | ||||||||
\(792\) | 3.85116 | + | 42.8820i | 0.136845 | + | 1.52374i | ||||
\(793\) | 1.07064i | 0.0380195i | ||||||||
\(794\) | −13.1249 | − | 17.7107i | −0.465785 | − | 0.628528i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −8.42822 | − | 2.56354i | −0.298730 | − | 0.0908624i | ||||
\(797\) | − | 13.1279i | − | 0.465016i | −0.972595 | − | 0.232508i | \(-0.925307\pi\) | ||
0.972595 | − | 0.232508i | \(-0.0746931\pi\) | |||||||
\(798\) | −9.84193 | + | 5.52199i | −0.348400 | + | 0.195476i | ||||
\(799\) | 44.5565i | 1.57629i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.68886 | − | 33.6180i | 0.307006 | − | 1.18783i | ||||
\(802\) | 29.9794 | − | 22.2169i | 1.05861 | − | 0.784506i | ||||
\(803\) | −21.3966 | −0.755071 | ||||||||
\(804\) | 5.92977 | − | 13.2169i | 0.209127 | − | 0.466123i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −9.43868 | + | 6.99474i | −0.332463 | + | 0.246379i | ||||
\(807\) | 4.08685 | − | 32.1444i | 0.143864 | − | 1.13154i | ||||
\(808\) | 27.0506 | − | 9.64470i | 0.951636 | − | 0.339299i | ||||
\(809\) | 29.5632i | 1.03939i | 0.854353 | + | 0.519693i | \(0.173954\pi\) | ||||
−0.854353 | + | 0.519693i | \(0.826046\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 29.2269 | 1.02629 | 0.513147 | − | 0.858301i | \(-0.328480\pi\) | ||||
0.513147 | + | 0.858301i | \(0.328480\pi\) | |||||||
\(812\) | 2.25620 | − | 7.41776i | 0.0791772 | − | 0.260312i | ||||
\(813\) | 42.6877 | + | 5.42733i | 1.49712 | + | 0.190345i | ||||
\(814\) | −43.6329 | + | 32.3351i | −1.52933 | + | 1.13334i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −18.5805 | + | 21.3132i | −0.650446 | + | 0.746112i | ||||
\(817\) | − | 4.34443i | − | 0.151992i | ||||||
\(818\) | 0.418605 | + | 0.564865i | 0.0146362 | + | 0.0197500i | ||||
\(819\) | −18.0573 | − | 4.66707i | −0.630973 | − | 0.163081i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −5.29201 | −0.184692 | −0.0923462 | − | 0.995727i | \(-0.529437\pi\) | ||||
−0.0923462 | + | 0.995727i | \(0.529437\pi\) | |||||||
\(822\) | 28.5301 | − | 16.0073i | 0.995102 | − | 0.558320i | ||||
\(823\) | −16.0047 | −0.557890 | −0.278945 | − | 0.960307i | \(-0.589985\pi\) | ||||
−0.278945 | + | 0.960307i | \(0.589985\pi\) | |||||||
\(824\) | −41.4008 | + | 14.7612i | −1.44227 | + | 0.514230i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.26422 | + | 2.41903i | −0.113577 | + | 0.0841687i | ||||
\(827\) | 4.13539 | 0.143802 | 0.0719009 | − | 0.997412i | \(-0.477093\pi\) | ||||
0.0719009 | + | 0.997412i | \(0.477093\pi\) | |||||||
\(828\) | −24.0712 | − | 14.6984i | −0.836531 | − | 0.510806i | ||||
\(829\) | 22.5879i | 0.784512i | 0.919856 | + | 0.392256i | \(0.128305\pi\) | ||||
−0.919856 | + | 0.392256i | \(0.871695\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6.37954 | − | 50.1771i | 0.221304 | − | 1.74063i | ||||
\(832\) | 10.5690 | − | 8.63424i | 0.366415 | − | 0.299339i | ||||
\(833\) | −25.6325 | −0.888113 | ||||||||
\(834\) | 30.6633 | − | 17.2042i | 1.06178 | − | 0.595733i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −12.2742 | − | 3.73335i | −0.424512 | − | 0.129120i | ||||
\(837\) | 23.5035 | + | 9.37084i | 0.812399 | + | 0.323904i | ||||
\(838\) | −12.5257 | + | 9.28242i | −0.432692 | + | 0.320656i | ||||
\(839\) | −32.0329 | −1.10590 | −0.552949 | − | 0.833215i | \(-0.686498\pi\) | ||||
−0.552949 | + | 0.833215i | \(0.686498\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.8684 | −0.960979 | ||||||||
\(842\) | −12.6088 | + | 9.34402i | −0.434527 | + | 0.322016i | ||||
\(843\) | −39.4944 | − | 5.02133i | −1.36026 | − | 0.172944i | ||||
\(844\) | 9.39176 | − | 30.8775i | 0.323278 | − | 1.06285i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −42.9314 | + | 17.3887i | −1.47601 | + | 0.597836i | ||||
\(847\) | −53.7374 | −1.84644 | ||||||||
\(848\) | 19.7621 | − | 29.4806i | 0.678632 | − | 1.01237i | ||||
\(849\) | −3.49677 | − | 0.444581i | −0.120009 | − | 0.0152580i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 35.5760i | − | 1.21953i | ||||||
\(852\) | −19.6490 | − | 8.81557i | −0.673163 | − | 0.302016i | ||||
\(853\) | −10.3607 | −0.354745 | −0.177372 | − | 0.984144i | \(-0.556760\pi\) | ||||
−0.177372 | + | 0.984144i | \(0.556760\pi\) | |||||||
\(854\) | −2.59867 | + | 1.92581i | −0.0889248 | + | 0.0658997i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −39.6177 | + | 14.1254i | −1.35411 | + | 0.482797i | ||||
\(857\) | 18.1893 | 0.621334 | 0.310667 | − | 0.950519i | \(-0.399448\pi\) | ||||
0.310667 | + | 0.950519i | \(0.399448\pi\) | |||||||
\(858\) | −10.3748 | − | 18.4911i | −0.354188 | − | 0.631276i | ||||
\(859\) | −27.2650 | −0.930271 | −0.465136 | − | 0.885239i | \(-0.653994\pi\) | ||||
−0.465136 | + | 0.885239i | \(0.653994\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 9.40133 | + | 1.19529i | 0.320396 | + | 0.0407353i | ||||
\(862\) | −5.75943 | − | 7.77176i | −0.196167 | − | 0.264707i | ||||
\(863\) | − | 12.4082i | − | 0.422381i | −0.977445 | − | 0.211191i | \(-0.932266\pi\) | ||
0.977445 | − | 0.211191i | \(-0.0677341\pi\) | |||||||
\(864\) | −27.7872 | − | 9.58505i | −0.945339 | − | 0.326090i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −43.9011 | + | 32.5338i | −1.49182 | + | 1.10555i | ||||
\(867\) | 0.0751522 | − | 0.591096i | 0.00255230 | − | 0.0200747i | ||||
\(868\) | −33.9556 | − | 10.3280i | −1.15253 | − | 0.350555i | ||||
\(869\) | −5.03776 | −0.170894 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.13386i | 0.241722i | ||||||||
\(872\) | −10.0095 | − | 28.0737i | −0.338964 | − | 0.950697i | ||||
\(873\) | −5.55623 | + | 21.4976i | −0.188050 | + | 0.727582i | ||||
\(874\) | 6.75221 | − | 5.00388i | 0.228397 | − | 0.169259i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 5.97956 | − | 13.3278i | 0.202031 | − | 0.450306i | ||||
\(877\) | −9.19349 | −0.310442 | −0.155221 | − | 0.987880i | \(-0.549609\pi\) | ||||
−0.155221 | + | 0.987880i | \(0.549609\pi\) | |||||||
\(878\) | −4.63474 | + | 3.43468i | −0.156415 | + | 0.115915i | ||||
\(879\) | 10.3093 | + | 1.31073i | 0.347725 | + | 0.0442098i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 38.4479i | 1.29534i | 0.761920 | + | 0.647671i | \(0.224257\pi\) | ||||
−0.761920 | + | 0.647671i | \(0.775743\pi\) | |||||||
\(882\) | −10.0034 | − | 24.6976i | −0.336832 | − | 0.831612i | ||||
\(883\) | − | 5.12406i | − | 0.172438i | −0.996276 | − | 0.0862192i | \(-0.972521\pi\) | ||
0.996276 | − | 0.0862192i | \(-0.0274785\pi\) | |||||||
\(884\) | 4.05201 | − | 13.3219i | 0.136284 | − | 0.448063i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.7054 | − | 14.4459i | −0.359656 | − | 0.485319i | ||||
\(887\) | 1.79043i | 0.0601169i | 0.999548 | + | 0.0300584i | \(0.00956934\pi\) | ||||
−0.999548 | + | 0.0300584i | \(0.990431\pi\) | |||||||
\(888\) | −7.94757 | − | 36.2151i | −0.266703 | − | 1.21530i | ||||
\(889\) | −20.5171 | −0.688121 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −22.1275 | + | 39.9472i | −0.741300 | + | 1.33828i | ||||
\(892\) | 3.54713 | − | 11.6620i | 0.118767 | − | 0.390471i | ||||
\(893\) | − | 13.8022i | − | 0.461874i | ||||||
\(894\) | −39.0377 | + | 21.9028i | −1.30562 | + | 0.732540i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 39.9682 | + | 10.1226i | 1.33524 | + | 0.338171i | ||||
\(897\) | 13.7785 | + | 1.75180i | 0.460050 | + | 0.0584909i | ||||
\(898\) | 35.5620 | − | 26.3540i | 1.18672 | − | 0.879444i | ||||
\(899\) | − | 5.18002i | − | 0.172763i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 36.2118i | − | 1.20639i | ||||||
\(902\) | 6.41471 | + | 8.65598i | 0.213586 | + | 0.288213i | ||||
\(903\) | 21.5178 | + | 2.73578i | 0.716066 | + | 0.0910409i | ||||
\(904\) | −26.4911 | + | 9.44522i | −0.881081 | + | 0.314143i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 20.0942 | + | 35.8142i | 0.667584 | + | 1.18985i | ||||
\(907\) | 34.5506i | 1.14724i | 0.819123 | + | 0.573618i | \(0.194460\pi\) | ||||
−0.819123 | + | 0.573618i | \(0.805540\pi\) | |||||||
\(908\) | −11.9119 | + | 39.1630i | −0.395311 | + | 1.29967i | ||||
\(909\) | 29.4915 | + | 7.62234i | 0.978172 | + | 0.252817i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −52.6515 | −1.74442 | −0.872211 | − | 0.489130i | \(-0.837314\pi\) | ||||
−0.872211 | + | 0.489130i | \(0.837314\pi\) | |||||||
\(912\) | 5.75566 | − | 6.60219i | 0.190589 | − | 0.218620i | ||||
\(913\) | 39.1991i | 1.29730i | ||||||||
\(914\) | −33.0751 | + | 24.5110i | −1.09403 | + | 0.810753i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 50.6542 | + | 15.4071i | 1.67366 | + | 0.509064i | ||||
\(917\) | 6.05731i | 0.200030i | ||||||||
\(918\) | −28.9949 | + | 7.66290i | −0.956974 | + | 0.252913i | ||||
\(919\) | 13.0595i | 0.430794i | 0.976527 | + | 0.215397i | \(0.0691046\pi\) | ||||
−0.976527 | + | 0.215397i | \(0.930895\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −32.7401 | − | 4.16259i | −1.07882 | − | 0.137162i | ||||
\(922\) | −0.00578529 | − | 0.00780665i | −0.000190528 | − | 0.000257098i | ||||
\(923\) | 10.6056 | 0.349089 | ||||||||
\(924\) | 26.2204 | − | 58.4426i | 0.862588 | − | 1.92262i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 15.1483 | + | 20.4411i | 0.497805 | + | 0.671737i | ||||
\(927\) | −45.1367 | − | 11.6660i | −1.48248 | − | 0.383160i | ||||
\(928\) | 0.284051 | + | 6.01087i | 0.00932444 | + | 0.197316i | ||||
\(929\) | 20.9794i | 0.688313i | 0.938912 | + | 0.344156i | \(0.111835\pi\) | ||||
−0.938912 | + | 0.344156i | \(0.888165\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.94016 | 0.260228 | ||||||||
\(932\) | 14.1875 | − | 46.6446i | 0.464728 | − | 1.52790i | ||||
\(933\) | −5.69953 | + | 44.8287i | −0.186594 | + | 1.46762i | ||||
\(934\) | 3.36748 | + | 4.54406i | 0.110187 | + | 0.148686i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 14.4174 | − | 1.29480i | 0.471246 | − | 0.0423219i | ||||
\(937\) | 5.78393i | 0.188953i | 0.995527 | + | 0.0944764i | \(0.0301177\pi\) | ||||
−0.995527 | + | 0.0944764i | \(0.969882\pi\) | |||||||
\(938\) | −17.3155 | + | 12.8320i | −0.565370 | + | 0.418980i | ||||
\(939\) | 34.6729 | + | 4.40832i | 1.13151 | + | 0.143860i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −42.0131 | −1.36959 | −0.684794 | − | 0.728737i | \(-0.740108\pi\) | ||||
−0.684794 | + | 0.728737i | \(0.740108\pi\) | |||||||
\(942\) | −13.4862 | + | 7.56667i | −0.439404 | + | 0.246535i | ||||
\(943\) | −7.05764 | −0.229829 | ||||||||
\(944\) | 1.75580 | − | 2.61927i | 0.0571464 | − | 0.0852498i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.6820 | + | 19.8118i | 0.477353 | + | 0.644138i | ||||
\(947\) | 23.5854 | 0.766421 | 0.383211 | − | 0.923661i | \(-0.374818\pi\) | ||||
0.383211 | + | 0.923661i | \(0.374818\pi\) | |||||||
\(948\) | 1.40787 | − | 3.13799i | 0.0457254 | − | 0.101917i | ||||
\(949\) | 7.19377i | 0.233520i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −13.4296 | − | 1.70744i | −0.435484 | − | 0.0553675i | ||||
\(952\) | 39.6236 | − | 14.1275i | 1.28421 | − | 0.457876i | ||||
\(953\) | −31.8648 | −1.03220 | −0.516102 | − | 0.856527i | \(-0.672617\pi\) | ||||
−0.516102 | + | 0.856527i | \(0.672617\pi\) | |||||||
\(954\) | 34.8911 | − | 14.1321i | 1.12964 | − | 0.457543i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −3.18443 | + | 10.4695i | −0.102992 | + | 0.338609i | ||||
\(957\) | 9.27423 | + | 1.17913i | 0.299793 | + | 0.0381159i | ||||
\(958\) | 28.7522 | + | 38.7982i | 0.928943 | + | 1.25351i | ||||
\(959\) | −48.6706 | −1.57166 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.28794 | 0.235095 | ||||||||
\(962\) | 10.8714 | + | 14.6698i | 0.350508 | + | 0.472974i | ||||
\(963\) | −43.1927 | − | 11.1635i | −1.39186 | − | 0.359739i | ||||
\(964\) | −14.3431 | + | 47.1562i | −0.461961 | + | 1.51880i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 20.5320 | + | 36.5944i | 0.660605 | + | 1.17741i | ||||
\(967\) | 11.1038 | 0.357073 | 0.178537 | − | 0.983933i | \(-0.442864\pi\) | ||||
0.178537 | + | 0.983933i | \(0.442864\pi\) | |||||||
\(968\) | 39.2850 | − | 14.0068i | 1.26267 | − | 0.450195i | ||||
\(969\) | 1.12712 | − | 8.86519i | 0.0362084 | − | 0.284791i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 47.5500i | 1.52595i | 0.646427 | + | 0.762976i | \(0.276263\pi\) | ||||
−0.646427 | + | 0.762976i | \(0.723737\pi\) | |||||||
\(972\) | −18.6990 | − | 24.9469i | −0.599772 | − | 0.800171i | ||||
\(973\) | −52.3097 | −1.67697 | ||||||||
\(974\) | 0.717251 | + | 0.967856i | 0.0229822 | + | 0.0310121i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.39781 | − | 2.08522i | 0.0447427 | − | 0.0667462i | ||||
\(977\) | −51.9896 | −1.66329 | −0.831647 | − | 0.555304i | \(-0.812602\pi\) | ||||
−0.831647 | + | 0.555304i | \(0.812602\pi\) | |||||||
\(978\) | 3.22545 | + | 5.74878i | 0.103139 | + | 0.183826i | ||||
\(979\) | −58.7279 | −1.87695 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.91064 | − | 30.6070i | 0.252567 | − | 0.977206i | ||||
\(982\) | 6.92090 | − | 5.12888i | 0.220855 | − | 0.163669i | ||||
\(983\) | − | 27.4842i | − | 0.876609i | −0.898826 | − | 0.438305i | \(-0.855579\pi\) | ||
0.898826 | − | 0.438305i | \(-0.144421\pi\) | |||||||
\(984\) | −7.18443 | + | 1.57666i | −0.229031 | + | 0.0502620i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 3.65557 | + | 4.93281i | 0.116417 | + | 0.157093i | ||||
\(987\) | 68.3619 | + | 8.69155i | 2.17598 | + | 0.276655i | ||||
\(988\) | −1.25519 | + | 4.12671i | −0.0399329 | + | 0.131288i | ||||
\(989\) | −16.1535 | −0.513653 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 24.4556i | 0.776858i | 0.921479 | + | 0.388429i | \(0.126982\pi\) | ||||
−0.921479 | + | 0.388429i | \(0.873018\pi\) | |||||||
\(992\) | 27.5154 | − | 1.30027i | 0.873614 | − | 0.0412837i | ||||
\(993\) | 2.19382 | − | 17.2551i | 0.0696188 | − | 0.547575i | ||||
\(994\) | 19.0769 | + | 25.7422i | 0.605081 | + | 0.816494i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −24.4169 | − | 10.9547i | −0.773678 | − | 0.347113i | ||||
\(997\) | −39.1729 | −1.24062 | −0.620309 | − | 0.784358i | \(-0.712993\pi\) | ||||
−0.620309 | + | 0.784358i | \(0.712993\pi\) | |||||||
\(998\) | −11.0621 | − | 14.9271i | −0.350164 | − | 0.472510i | ||||
\(999\) | 14.5644 | − | 36.5296i | 0.460797 | − | 1.15575i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))