Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [798,2,Mod(493,798)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(798, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("798.493");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 798.be (of order \(6\), degree \(2\), 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: | \(6.37206208130\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 607.6 | ||
Character | \(\chi\) | \(=\) | 798.607 |
Dual form | 798.2.be.b.493.6 |
$q$-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 \(\left(\mathbb{Z}/798\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.94282 | + | 1.12169i | 0.868853 | + | 0.501633i | 0.866967 | − | 0.498365i | \(-0.166066\pi\) |
0.00188642 | + | 0.999998i | \(0.499400\pi\) | |||||||
\(6\) | − | 1.00000i | − | 0.408248i | ||||||
\(7\) | −2.03542 | + | 1.69029i | −0.769315 | + | 0.638870i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −1.12169 | − | 1.94282i | −0.354708 | − | 0.614372i | ||||
\(11\) | 0.804965 | + | 1.39424i | 0.242706 | + | 0.420379i | 0.961484 | − | 0.274860i | \(-0.0886316\pi\) |
−0.718778 | + | 0.695240i | \(0.755298\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | −1.35618 | −0.376138 | −0.188069 | − | 0.982156i | \(-0.560223\pi\) | ||||
−0.188069 | + | 0.982156i | \(0.560223\pi\) | |||||||
\(14\) | 2.60787 | − | 0.446127i | 0.696982 | − | 0.119233i | ||||
\(15\) | 2.24337i | 0.579236i | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.82838 | + | 1.05562i | −0.443447 | + | 0.256024i | −0.705059 | − | 0.709149i | \(-0.749079\pi\) |
0.261612 | + | 0.965173i | \(0.415746\pi\) | |||||||
\(18\) | 0.866025 | − | 0.500000i | 0.204124 | − | 0.117851i | ||||
\(19\) | 4.14768 | + | 1.34041i | 0.951544 | + | 0.307512i | ||||
\(20\) | 2.24337i | 0.501633i | ||||||||
\(21\) | −2.48154 | − | 0.917576i | −0.541517 | − | 0.200231i | ||||
\(22\) | − | 1.60993i | − | 0.343238i | ||||||
\(23\) | −2.97604 | + | 5.15466i | −0.620548 | + | 1.07482i | 0.368836 | + | 0.929495i | \(0.379756\pi\) |
−0.989384 | + | 0.145326i | \(0.953577\pi\) | |||||||
\(24\) | 0.866025 | − | 0.500000i | 0.176777 | − | 0.102062i | ||||
\(25\) | 0.0163546 | + | 0.0283271i | 0.00327093 | + | 0.00566541i | ||||
\(26\) | 1.17449 | + | 0.678092i | 0.230337 | + | 0.132985i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −2.48154 | − | 0.917576i | −0.468968 | − | 0.173406i | ||||
\(29\) | 0.0259741i | 0.00482328i | 0.999997 | + | 0.00241164i | \(0.000767649\pi\) | ||||
−0.999997 | + | 0.00241164i | \(0.999232\pi\) | |||||||
\(30\) | 1.12169 | − | 1.94282i | 0.204791 | − | 0.354708i | ||||
\(31\) | 0.395243 | + | 0.684580i | 0.0709877 | + | 0.122954i | 0.899334 | − | 0.437261i | \(-0.144052\pi\) |
−0.828347 | + | 0.560216i | \(0.810718\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −0.804965 | + | 1.39424i | −0.140126 | + | 0.242706i | ||||
\(34\) | 2.11123 | 0.362073 | ||||||||
\(35\) | −5.85041 | + | 1.00083i | −0.988900 | + | 0.169171i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | −1.65311 | − | 0.954425i | −0.271770 | − | 0.156906i | 0.357922 | − | 0.933752i | \(-0.383485\pi\) |
−0.629692 | + | 0.776845i | \(0.716819\pi\) | |||||||
\(38\) | −2.92179 | − | 3.23468i | −0.473977 | − | 0.524734i | ||||
\(39\) | −0.678092 | − | 1.17449i | −0.108582 | − | 0.188069i | ||||
\(40\) | 1.12169 | − | 1.94282i | 0.177354 | − | 0.307186i | ||||
\(41\) | −5.25404 | −0.820543 | −0.410271 | − | 0.911963i | \(-0.634566\pi\) | ||||
−0.410271 | + | 0.911963i | \(0.634566\pi\) | |||||||
\(42\) | 1.69029 | + | 2.03542i | 0.260818 | + | 0.314071i | ||||
\(43\) | 2.15879 | 0.329212 | 0.164606 | − | 0.986359i | \(-0.447365\pi\) | ||||
0.164606 | + | 0.986359i | \(0.447365\pi\) | |||||||
\(44\) | −0.804965 | + | 1.39424i | −0.121353 | + | 0.210190i | ||||
\(45\) | −1.94282 | + | 1.12169i | −0.289618 | + | 0.167211i | ||||
\(46\) | 5.15466 | − | 2.97604i | 0.760013 | − | 0.438794i | ||||
\(47\) | 1.73929 | + | 1.00418i | 0.253701 | + | 0.146474i | 0.621458 | − | 0.783448i | \(-0.286541\pi\) |
−0.367757 | + | 0.929922i | \(0.619874\pi\) | |||||||
\(48\) | −1.00000 | −0.144338 | ||||||||
\(49\) | 1.28583 | − | 6.88089i | 0.183690 | − | 0.982984i | ||||
\(50\) | − | 0.0327093i | − | 0.00462579i | ||||||
\(51\) | −1.82838 | − | 1.05562i | −0.256024 | − | 0.147816i | ||||
\(52\) | −0.678092 | − | 1.17449i | −0.0940345 | − | 0.162873i | ||||
\(53\) | −9.58758 | + | 5.53539i | −1.31695 | + | 0.760344i | −0.983238 | − | 0.182329i | \(-0.941636\pi\) |
−0.333717 | + | 0.942673i | \(0.608303\pi\) | |||||||
\(54\) | 0.866025 | + | 0.500000i | 0.117851 | + | 0.0680414i | ||||
\(55\) | 3.61167i | 0.486997i | ||||||||
\(56\) | 1.69029 | + | 2.03542i | 0.225875 | + | 0.271994i | ||||
\(57\) | 0.913009 | + | 4.26221i | 0.120931 | + | 0.564543i | ||||
\(58\) | 0.0129871 | − | 0.0224943i | 0.00170529 | − | 0.00295364i | ||||
\(59\) | −2.87431 | − | 4.97845i | −0.374203 | − | 0.648139i | 0.616004 | − | 0.787743i | \(-0.288750\pi\) |
−0.990207 | + | 0.139604i | \(0.955417\pi\) | |||||||
\(60\) | −1.94282 | + | 1.12169i | −0.250816 | + | 0.144809i | ||||
\(61\) | 7.18771 | + | 4.14983i | 0.920292 | + | 0.531331i | 0.883728 | − | 0.468000i | \(-0.155025\pi\) |
0.0365639 | + | 0.999331i | \(0.488359\pi\) | |||||||
\(62\) | − | 0.790485i | − | 0.100392i | ||||||
\(63\) | −0.446127 | − | 2.60787i | −0.0562068 | − | 0.328560i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −2.63482 | − | 1.52121i | −0.326809 | − | 0.188683i | ||||
\(66\) | 1.39424 | − | 0.804965i | 0.171619 | − | 0.0990844i | ||||
\(67\) | 8.69107 | − | 5.01779i | 1.06178 | − | 0.613021i | 0.135858 | − | 0.990728i | \(-0.456621\pi\) |
0.925925 | + | 0.377708i | \(0.123288\pi\) | |||||||
\(68\) | −1.82838 | − | 1.05562i | −0.221724 | − | 0.128012i | ||||
\(69\) | −5.95209 | −0.716547 | ||||||||
\(70\) | 5.56702 | + | 2.05846i | 0.665386 | + | 0.246033i | ||||
\(71\) | 11.5540i | 1.37121i | 0.727975 | + | 0.685604i | \(0.240462\pi\) | ||||
−0.727975 | + | 0.685604i | \(0.759538\pi\) | |||||||
\(72\) | 0.866025 | + | 0.500000i | 0.102062 | + | 0.0589256i | ||||
\(73\) | −6.27275 | + | 3.62157i | −0.734170 | + | 0.423873i | −0.819946 | − | 0.572441i | \(-0.805996\pi\) |
0.0857759 | + | 0.996314i | \(0.472663\pi\) | |||||||
\(74\) | 0.954425 | + | 1.65311i | 0.110950 | + | 0.192170i | ||||
\(75\) | −0.0163546 | + | 0.0283271i | −0.00188847 | + | 0.00327093i | ||||
\(76\) | 0.913009 | + | 4.26221i | 0.104729 | + | 0.488909i | ||||
\(77\) | −3.99511 | − | 1.47723i | −0.455285 | − | 0.168346i | ||||
\(78\) | 1.35618i | 0.153558i | ||||||||
\(79\) | 14.3105 | + | 8.26214i | 1.61005 | + | 0.929564i | 0.989357 | + | 0.145512i | \(0.0464828\pi\) |
0.620695 | + | 0.784052i | \(0.286851\pi\) | |||||||
\(80\) | −1.94282 | + | 1.12169i | −0.217213 | + | 0.125408i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 4.55013 | + | 2.62702i | 0.502478 | + | 0.290106i | ||||
\(83\) | 4.18825i | 0.459720i | 0.973224 | + | 0.229860i | \(0.0738268\pi\) | ||||
−0.973224 | + | 0.229860i | \(0.926173\pi\) | |||||||
\(84\) | −0.446127 | − | 2.60787i | −0.0486765 | − | 0.284542i | ||||
\(85\) | −4.73627 | −0.513721 | ||||||||
\(86\) | −1.86957 | − | 1.07939i | −0.201601 | − | 0.116394i | ||||
\(87\) | −0.0224943 | + | 0.0129871i | −0.00241164 | + | 0.00139236i | ||||
\(88\) | 1.39424 | − | 0.804965i | 0.148627 | − | 0.0858096i | ||||
\(89\) | −4.57588 | + | 7.92566i | −0.485043 | + | 0.840119i | −0.999852 | − | 0.0171860i | \(-0.994529\pi\) |
0.514810 | + | 0.857305i | \(0.327863\pi\) | |||||||
\(90\) | 2.24337 | 0.236472 | ||||||||
\(91\) | 2.76040 | − | 2.29235i | 0.289369 | − | 0.240303i | ||||
\(92\) | −5.95209 | −0.620548 | ||||||||
\(93\) | −0.395243 | + | 0.684580i | −0.0409848 | + | 0.0709877i | ||||
\(94\) | −1.00418 | − | 1.73929i | −0.103573 | − | 0.179394i | ||||
\(95\) | 6.55466 | + | 7.25657i | 0.672494 | + | 0.744509i | ||||
\(96\) | 0.866025 | + | 0.500000i | 0.0883883 | + | 0.0510310i | ||||
\(97\) | −2.85365 | −0.289744 | −0.144872 | − | 0.989450i | \(-0.546277\pi\) | ||||
−0.144872 | + | 0.989450i | \(0.546277\pi\) | |||||||
\(98\) | −4.55401 | + | 5.31611i | −0.460024 | + | 0.537008i | ||||
\(99\) | −1.60993 | −0.161804 | ||||||||
\(100\) | −0.0163546 | + | 0.0283271i | −0.00163546 | + | 0.00283271i | ||||
\(101\) | 9.77591 | − | 5.64413i | 0.972740 | − | 0.561611i | 0.0726692 | − | 0.997356i | \(-0.476848\pi\) |
0.900070 | + | 0.435745i | \(0.143515\pi\) | |||||||
\(102\) | 1.05562 | + | 1.82838i | 0.104521 | + | 0.181036i | ||||
\(103\) | 2.10314 | − | 3.64274i | 0.207228 | − | 0.358930i | −0.743612 | − | 0.668611i | \(-0.766889\pi\) |
0.950840 | + | 0.309681i | \(0.100222\pi\) | |||||||
\(104\) | 1.35618i | 0.132985i | ||||||||
\(105\) | −3.79195 | − | 4.56619i | −0.370056 | − | 0.445615i | ||||
\(106\) | 11.0708 | 1.07529 | ||||||||
\(107\) | 4.96352 | + | 2.86569i | 0.479841 | + | 0.277036i | 0.720350 | − | 0.693610i | \(-0.243981\pi\) |
−0.240509 | + | 0.970647i | \(0.577314\pi\) | |||||||
\(108\) | −0.500000 | − | 0.866025i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | 5.26185 | − | 3.03793i | 0.503993 | − | 0.290981i | −0.226368 | − | 0.974042i | \(-0.572685\pi\) |
0.730361 | + | 0.683061i | \(0.239352\pi\) | |||||||
\(110\) | 1.80584 | − | 3.12780i | 0.172180 | − | 0.298224i | ||||
\(111\) | − | 1.90885i | − | 0.181180i | ||||||
\(112\) | −0.446127 | − | 2.60787i | −0.0421551 | − | 0.246420i | ||||
\(113\) | 10.4411i | 0.982218i | 0.871098 | + | 0.491109i | \(0.163408\pi\) | ||||
−0.871098 | + | 0.491109i | \(0.836592\pi\) | |||||||
\(114\) | 1.34041 | − | 4.14768i | 0.125541 | − | 0.388466i | ||||
\(115\) | −11.5638 | + | 6.67637i | −1.07833 | + | 0.622575i | ||||
\(116\) | −0.0224943 | + | 0.0129871i | −0.00208854 | + | 0.00120582i | ||||
\(117\) | 0.678092 | − | 1.17449i | 0.0626897 | − | 0.108582i | ||||
\(118\) | 5.74862i | 0.529203i | ||||||||
\(119\) | 1.93721 | − | 5.23911i | 0.177584 | − | 0.480268i | ||||
\(120\) | 2.24337 | 0.204791 | ||||||||
\(121\) | 4.20406 | − | 7.28165i | 0.382187 | − | 0.661968i | ||||
\(122\) | −4.14983 | − | 7.18771i | −0.375708 | − | 0.650745i | ||||
\(123\) | −2.62702 | − | 4.55013i | −0.236870 | − | 0.410271i | ||||
\(124\) | −0.395243 | + | 0.684580i | −0.0354938 | + | 0.0614771i | ||||
\(125\) | − | 11.1435i | − | 0.996702i | ||||||
\(126\) | −0.917576 | + | 2.48154i | −0.0817442 | + | 0.221073i | ||||
\(127\) | 10.2678i | 0.911124i | 0.890204 | + | 0.455562i | \(0.150562\pi\) | ||||
−0.890204 | + | 0.455562i | \(0.849438\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 1.07939 | + | 1.86957i | 0.0950354 | + | 0.164606i | ||||
\(130\) | 1.52121 | + | 2.63482i | 0.133419 | + | 0.231089i | ||||
\(131\) | 7.18058 | + | 4.14571i | 0.627371 | + | 0.362213i | 0.779733 | − | 0.626112i | \(-0.215355\pi\) |
−0.152362 | + | 0.988325i | \(0.548688\pi\) | |||||||
\(132\) | −1.60993 | −0.140126 | ||||||||
\(133\) | −10.7080 | + | 4.28249i | −0.928497 | + | 0.371339i | ||||
\(134\) | −10.0356 | −0.866942 | ||||||||
\(135\) | −1.94282 | − | 1.12169i | −0.167211 | − | 0.0965393i | ||||
\(136\) | 1.05562 | + | 1.82838i | 0.0905182 | + | 0.156782i | ||||
\(137\) | 1.66119 | + | 2.87726i | 0.141925 | + | 0.245821i | 0.928221 | − | 0.372028i | \(-0.121337\pi\) |
−0.786296 | + | 0.617849i | \(0.788004\pi\) | |||||||
\(138\) | 5.15466 | + | 2.97604i | 0.438794 | + | 0.253338i | ||||
\(139\) | − | 13.4347i | − | 1.13951i | −0.821814 | − | 0.569756i | \(-0.807038\pi\) | ||
0.821814 | − | 0.569756i | \(-0.192962\pi\) | |||||||
\(140\) | −3.79195 | − | 4.56619i | −0.320478 | − | 0.385913i | ||||
\(141\) | 2.00836i | 0.169134i | ||||||||
\(142\) | 5.77700 | − | 10.0061i | 0.484795 | − | 0.839690i | ||||
\(143\) | −1.09168 | − | 1.89085i | −0.0912910 | − | 0.158121i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −0.0291348 | + | 0.0504630i | −0.00241951 | + | 0.00419072i | ||||
\(146\) | 7.24315 | 0.599447 | ||||||||
\(147\) | 6.60194 | − | 2.32688i | 0.544519 | − | 0.191918i | ||||
\(148\) | − | 1.90885i | − | 0.156906i | ||||||
\(149\) | 6.27765 | − | 10.8732i | 0.514285 | − | 0.890768i | −0.485577 | − | 0.874194i | \(-0.661391\pi\) |
0.999863 | − | 0.0165747i | \(-0.00527613\pi\) | |||||||
\(150\) | 0.0283271 | − | 0.0163546i | 0.00231289 | − | 0.00133535i | ||||
\(151\) | 8.47584 | − | 4.89353i | 0.689754 | − | 0.398230i | −0.113766 | − | 0.993508i | \(-0.536291\pi\) |
0.803520 | + | 0.595278i | \(0.202958\pi\) | |||||||
\(152\) | 1.34041 | − | 4.14768i | 0.108722 | − | 0.336422i | ||||
\(153\) | − | 2.11123i | − | 0.170683i | ||||||
\(154\) | 2.72125 | + | 3.27688i | 0.219285 | + | 0.264058i | ||||
\(155\) | 1.77335i | 0.142439i | ||||||||
\(156\) | 0.678092 | − | 1.17449i | 0.0542908 | − | 0.0940345i | ||||
\(157\) | 2.80063 | − | 1.61695i | 0.223515 | − | 0.129046i | −0.384062 | − | 0.923307i | \(-0.625475\pi\) |
0.607577 | + | 0.794261i | \(0.292142\pi\) | |||||||
\(158\) | −8.26214 | − | 14.3105i | −0.657301 | − | 1.13848i | ||||
\(159\) | −9.58758 | − | 5.53539i | −0.760344 | − | 0.438985i | ||||
\(160\) | 2.24337 | 0.177354 | ||||||||
\(161\) | −2.65539 | − | 15.5223i | −0.209274 | − | 1.22332i | ||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | 10.0081 | − | 17.3346i | 0.783898 | − | 1.35775i | −0.145758 | − | 0.989320i | \(-0.546562\pi\) |
0.929655 | − | 0.368430i | \(-0.120105\pi\) | |||||||
\(164\) | −2.62702 | − | 4.55013i | −0.205136 | − | 0.355305i | ||||
\(165\) | −3.12780 | + | 1.80584i | −0.243499 | + | 0.140584i | ||||
\(166\) | 2.09412 | − | 3.62713i | 0.162535 | − | 0.281520i | ||||
\(167\) | 3.09053 | 0.239152 | 0.119576 | − | 0.992825i | \(-0.461846\pi\) | ||||
0.119576 | + | 0.992825i | \(0.461846\pi\) | |||||||
\(168\) | −0.917576 | + | 2.48154i | −0.0707925 | + | 0.191455i | ||||
\(169\) | −11.1608 | −0.858520 | ||||||||
\(170\) | 4.10173 | + | 2.36814i | 0.314588 | + | 0.181628i | ||||
\(171\) | −3.23468 | + | 2.92179i | −0.247362 | + | 0.223435i | ||||
\(172\) | 1.07939 | + | 1.86957i | 0.0823031 | + | 0.142553i | ||||
\(173\) | 1.93196 | − | 3.34625i | 0.146884 | − | 0.254411i | −0.783190 | − | 0.621782i | \(-0.786409\pi\) |
0.930074 | + | 0.367372i | \(0.119742\pi\) | |||||||
\(174\) | 0.0259741 | 0.00196910 | ||||||||
\(175\) | −0.0811694 | − | 0.0300132i | −0.00613583 | − | 0.00226879i | ||||
\(176\) | −1.60993 | −0.121353 | ||||||||
\(177\) | 2.87431 | − | 4.97845i | 0.216046 | − | 0.374203i | ||||
\(178\) | 7.92566 | − | 4.57588i | 0.594054 | − | 0.342977i | ||||
\(179\) | −9.26318 | + | 5.34810i | −0.692362 | + | 0.399736i | −0.804496 | − | 0.593958i | \(-0.797565\pi\) |
0.112134 | + | 0.993693i | \(0.464231\pi\) | |||||||
\(180\) | −1.94282 | − | 1.12169i | −0.144809 | − | 0.0836055i | ||||
\(181\) | −8.79789 | −0.653942 | −0.326971 | − | 0.945034i | \(-0.606028\pi\) | ||||
−0.326971 | + | 0.945034i | \(0.606028\pi\) | |||||||
\(182\) | −3.53675 | + | 0.605031i | −0.262161 | + | 0.0448479i | ||||
\(183\) | 8.29965i | 0.613528i | ||||||||
\(184\) | 5.15466 | + | 2.97604i | 0.380007 | + | 0.219397i | ||||
\(185\) | −2.14113 | − | 3.70854i | −0.157419 | − | 0.272658i | ||||
\(186\) | 0.684580 | − | 0.395243i | 0.0501959 | − | 0.0289806i | ||||
\(187\) | −2.94356 | − | 1.69947i | −0.215255 | − | 0.124277i | ||||
\(188\) | 2.00836i | 0.146474i | ||||||||
\(189\) | 2.03542 | − | 1.69029i | 0.148055 | − | 0.122951i | ||||
\(190\) | −2.04822 | − | 9.56171i | −0.148593 | − | 0.693679i | ||||
\(191\) | 4.74209 | − | 8.21354i | 0.343125 | − | 0.594311i | −0.641886 | − | 0.766800i | \(-0.721848\pi\) |
0.985011 | + | 0.172489i | \(0.0551811\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | 19.8153 | − | 11.4404i | 1.42634 | − | 0.823496i | 0.429507 | − | 0.903064i | \(-0.358687\pi\) |
0.996829 | + | 0.0795679i | \(0.0253541\pi\) | |||||||
\(194\) | 2.47133 | + | 1.42682i | 0.177431 | + | 0.102440i | ||||
\(195\) | − | 3.04242i | − | 0.217873i | ||||||
\(196\) | 6.60194 | − | 2.32688i | 0.471567 | − | 0.166206i | ||||
\(197\) | 6.72230 | 0.478944 | 0.239472 | − | 0.970903i | \(-0.423026\pi\) | ||||
0.239472 | + | 0.970903i | \(0.423026\pi\) | |||||||
\(198\) | 1.39424 | + | 0.804965i | 0.0990844 | + | 0.0572064i | ||||
\(199\) | −9.79141 | + | 5.65307i | −0.694095 | + | 0.400736i | −0.805144 | − | 0.593079i | \(-0.797912\pi\) |
0.111049 | + | 0.993815i | \(0.464579\pi\) | |||||||
\(200\) | 0.0283271 | − | 0.0163546i | 0.00200303 | − | 0.00115645i | ||||
\(201\) | 8.69107 | + | 5.01779i | 0.613021 | + | 0.353928i | ||||
\(202\) | −11.2883 | −0.794239 | ||||||||
\(203\) | −0.0439039 | − | 0.0528682i | −0.00308145 | − | 0.00371062i | ||||
\(204\) | − | 2.11123i | − | 0.147816i | ||||||
\(205\) | −10.2076 | − | 5.89337i | −0.712931 | − | 0.411611i | ||||
\(206\) | −3.64274 | + | 2.10314i | −0.253802 | + | 0.146532i | ||||
\(207\) | −2.97604 | − | 5.15466i | −0.206849 | − | 0.358274i | ||||
\(208\) | 0.678092 | − | 1.17449i | 0.0470173 | − | 0.0814363i | ||||
\(209\) | 1.46988 | + | 6.86186i | 0.101674 | + | 0.474645i | ||||
\(210\) | 1.00083 | + | 5.85041i | 0.0690638 | + | 0.403717i | ||||
\(211\) | − | 20.2241i | − | 1.39228i | −0.717904 | − | 0.696142i | \(-0.754899\pi\) | ||
0.717904 | − | 0.696142i | \(-0.245101\pi\) | |||||||
\(212\) | −9.58758 | − | 5.53539i | −0.658477 | − | 0.380172i | ||||
\(213\) | −10.0061 | + | 5.77700i | −0.685604 | + | 0.395834i | ||||
\(214\) | −2.86569 | − | 4.96352i | −0.195894 | − | 0.339299i | ||||
\(215\) | 4.19413 | + | 2.42148i | 0.286037 | + | 0.165144i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | −1.96162 | − | 0.725330i | −0.133164 | − | 0.0492386i | ||||
\(218\) | −6.07586 | −0.411509 | ||||||||
\(219\) | −6.27275 | − | 3.62157i | −0.423873 | − | 0.244723i | ||||
\(220\) | −3.12780 | + | 1.80584i | −0.210876 | + | 0.121749i | ||||
\(221\) | 2.47962 | − | 1.43161i | 0.166797 | − | 0.0963005i | ||||
\(222\) | −0.954425 | + | 1.65311i | −0.0640568 | + | 0.110950i | ||||
\(223\) | −17.1877 | −1.15098 | −0.575488 | − | 0.817810i | \(-0.695188\pi\) | ||||
−0.575488 | + | 0.817810i | \(0.695188\pi\) | |||||||
\(224\) | −0.917576 | + | 2.48154i | −0.0613081 | + | 0.165805i | ||||
\(225\) | −0.0327093 | −0.00218062 | ||||||||
\(226\) | 5.22056 | − | 9.04228i | 0.347267 | − | 0.601484i | ||||
\(227\) | −0.992963 | − | 1.71986i | −0.0659053 | − | 0.114151i | 0.831190 | − | 0.555989i | \(-0.187660\pi\) |
−0.897095 | + | 0.441837i | \(0.854327\pi\) | |||||||
\(228\) | −3.23468 | + | 2.92179i | −0.214222 | + | 0.193500i | ||||
\(229\) | −0.870078 | − | 0.502340i | −0.0574963 | − | 0.0331955i | 0.470976 | − | 0.882146i | \(-0.343902\pi\) |
−0.528473 | + | 0.848950i | \(0.677235\pi\) | |||||||
\(230\) | 13.3527 | 0.880453 | ||||||||
\(231\) | −0.718234 | − | 4.19848i | −0.0472563 | − | 0.276240i | ||||
\(232\) | 0.0259741 | 0.00170529 | ||||||||
\(233\) | 12.0977 | − | 20.9538i | 0.792546 | − | 1.37273i | −0.131839 | − | 0.991271i | \(-0.542088\pi\) |
0.924386 | − | 0.381460i | \(-0.124578\pi\) | |||||||
\(234\) | −1.17449 | + | 0.678092i | −0.0767788 | + | 0.0443283i | ||||
\(235\) | 2.25274 | + | 3.90187i | 0.146953 | + | 0.254530i | ||||
\(236\) | 2.87431 | − | 4.97845i | 0.187102 | − | 0.324070i | ||||
\(237\) | 16.5243i | 1.07337i | ||||||||
\(238\) | −4.29723 | + | 3.56859i | −0.278548 | + | 0.231318i | ||||
\(239\) | 1.99778 | 0.129225 | 0.0646127 | − | 0.997910i | \(-0.479419\pi\) | ||||
0.0646127 | + | 0.997910i | \(0.479419\pi\) | |||||||
\(240\) | −1.94282 | − | 1.12169i | −0.125408 | − | 0.0724045i | ||||
\(241\) | 9.92784 | + | 17.1955i | 0.639508 | + | 1.10766i | 0.985541 | + | 0.169439i | \(0.0541954\pi\) |
−0.346032 | + | 0.938223i | \(0.612471\pi\) | |||||||
\(242\) | −7.28165 | + | 4.20406i | −0.468082 | + | 0.270247i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 8.29965i | 0.531331i | ||||||||
\(245\) | 10.2163 | − | 11.9260i | 0.652697 | − | 0.761924i | ||||
\(246\) | 5.25404i | 0.334985i | ||||||||
\(247\) | −5.62503 | − | 1.81785i | −0.357912 | − | 0.115667i | ||||
\(248\) | 0.684580 | − | 0.395243i | 0.0434709 | − | 0.0250979i | ||||
\(249\) | −3.62713 | + | 2.09412i | −0.229860 | + | 0.132710i | ||||
\(250\) | −5.57174 | + | 9.65053i | −0.352388 | + | 0.610353i | ||||
\(251\) | 21.4608i | 1.35459i | 0.735711 | + | 0.677296i | \(0.236848\pi\) | ||||
−0.735711 | + | 0.677296i | \(0.763152\pi\) | |||||||
\(252\) | 2.03542 | − | 1.69029i | 0.128219 | − | 0.106478i | ||||
\(253\) | −9.58245 | −0.602443 | ||||||||
\(254\) | 5.13392 | − | 8.89221i | 0.322131 | − | 0.557947i | ||||
\(255\) | −2.36814 | − | 4.10173i | −0.148298 | − | 0.256860i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 13.2758 | − | 22.9944i | 0.828122 | − | 1.43435i | −0.0713881 | − | 0.997449i | \(-0.522743\pi\) |
0.899510 | − | 0.436900i | \(-0.143924\pi\) | |||||||
\(258\) | − | 2.15879i | − | 0.134400i | ||||||
\(259\) | 4.97803 | − | 0.851590i | 0.309320 | − | 0.0529152i | ||||
\(260\) | − | 3.04242i | − | 0.188683i | ||||||
\(261\) | −0.0224943 | − | 0.0129871i | −0.00139236 | − | 0.000803880i | ||||
\(262\) | −4.14571 | − | 7.18058i | −0.256123 | − | 0.443618i | ||||
\(263\) | 3.96681 | + | 6.87071i | 0.244604 | + | 0.423666i | 0.962020 | − | 0.272978i | \(-0.0880088\pi\) |
−0.717416 | + | 0.696645i | \(0.754675\pi\) | |||||||
\(264\) | 1.39424 | + | 0.804965i | 0.0858096 | + | 0.0495422i | ||||
\(265\) | −24.8359 | −1.52565 | ||||||||
\(266\) | 11.4146 | + | 1.64523i | 0.699874 | + | 0.100875i | ||||
\(267\) | −9.15177 | −0.560079 | ||||||||
\(268\) | 8.69107 | + | 5.01779i | 0.530891 | + | 0.306510i | ||||
\(269\) | 2.51233 | + | 4.35148i | 0.153179 | + | 0.265315i | 0.932395 | − | 0.361442i | \(-0.117715\pi\) |
−0.779215 | + | 0.626757i | \(0.784382\pi\) | |||||||
\(270\) | 1.12169 | + | 1.94282i | 0.0682636 | + | 0.118236i | ||||
\(271\) | 18.5790 | + | 10.7266i | 1.12860 | + | 0.651595i | 0.943581 | − | 0.331141i | \(-0.107433\pi\) |
0.185014 | + | 0.982736i | \(0.440767\pi\) | |||||||
\(272\) | − | 2.11123i | − | 0.128012i | ||||||
\(273\) | 3.36543 | + | 1.24440i | 0.203685 | + | 0.0753147i | ||||
\(274\) | − | 3.32238i | − | 0.200712i | ||||||
\(275\) | −0.0263298 | + | 0.0456046i | −0.00158775 | + | 0.00275006i | ||||
\(276\) | −2.97604 | − | 5.15466i | −0.179137 | − | 0.310274i | ||||
\(277\) | −2.19895 | − | 3.80870i | −0.132122 | − | 0.228842i | 0.792372 | − | 0.610038i | \(-0.208846\pi\) |
−0.924494 | + | 0.381196i | \(0.875512\pi\) | |||||||
\(278\) | −6.71733 | + | 11.6348i | −0.402879 | + | 0.697806i | ||||
\(279\) | −0.790485 | −0.0473251 | ||||||||
\(280\) | 1.00083 | + | 5.85041i | 0.0598110 | + | 0.349629i | ||||
\(281\) | − | 12.5685i | − | 0.749775i | −0.927070 | − | 0.374888i | \(-0.877681\pi\) | ||
0.927070 | − | 0.374888i | \(-0.122319\pi\) | |||||||
\(282\) | 1.00418 | − | 1.73929i | 0.0597980 | − | 0.103573i | ||||
\(283\) | −5.83229 | + | 3.36727i | −0.346694 | + | 0.200164i | −0.663228 | − | 0.748417i | \(-0.730814\pi\) |
0.316534 | + | 0.948581i | \(0.397481\pi\) | |||||||
\(284\) | −10.0061 | + | 5.77700i | −0.593751 | + | 0.342802i | ||||
\(285\) | −3.00705 | + | 9.30479i | −0.178122 | + | 0.551168i | ||||
\(286\) | 2.18336i | 0.129105i | ||||||||
\(287\) | 10.6941 | − | 8.88085i | 0.631256 | − | 0.524220i | ||||
\(288\) | 1.00000i | 0.0589256i | ||||||||
\(289\) | −6.27135 | + | 10.8623i | −0.368903 | + | 0.638959i | ||||
\(290\) | 0.0504630 | − | 0.0291348i | 0.00296329 | − | 0.00171086i | ||||
\(291\) | −1.42682 | − | 2.47133i | −0.0836419 | − | 0.144872i | ||||
\(292\) | −6.27275 | − | 3.62157i | −0.367085 | − | 0.211937i | ||||
\(293\) | −21.3825 | −1.24918 | −0.624589 | − | 0.780954i | \(-0.714733\pi\) | ||||
−0.624589 | + | 0.780954i | \(0.714733\pi\) | |||||||
\(294\) | −6.88089 | − | 1.28583i | −0.401302 | − | 0.0749912i | ||||
\(295\) | − | 12.8963i | − | 0.750851i | ||||||
\(296\) | −0.954425 | + | 1.65311i | −0.0554748 | + | 0.0960852i | ||||
\(297\) | −0.804965 | − | 1.39424i | −0.0467088 | − | 0.0809021i | ||||
\(298\) | −10.8732 | + | 6.27765i | −0.629868 | + | 0.363655i | ||||
\(299\) | 4.03607 | − | 6.99067i | 0.233412 | − | 0.404281i | ||||
\(300\) | −0.0327093 | −0.00188847 | ||||||||
\(301\) | −4.39403 | + | 3.64898i | −0.253268 | + | 0.210324i | ||||
\(302\) | −9.78706 | −0.563182 | ||||||||
\(303\) | 9.77591 | + | 5.64413i | 0.561611 | + | 0.324247i | ||||
\(304\) | −3.23468 | + | 2.92179i | −0.185521 | + | 0.167576i | ||||
\(305\) | 9.30960 | + | 16.1247i | 0.533066 | + | 0.923298i | ||||
\(306\) | −1.05562 | + | 1.82838i | −0.0603455 | + | 0.104521i | ||||
\(307\) | 24.3299 | 1.38858 | 0.694290 | − | 0.719695i | \(-0.255718\pi\) | ||||
0.694290 | + | 0.719695i | \(0.255718\pi\) | |||||||
\(308\) | −0.718234 | − | 4.19848i | −0.0409252 | − | 0.239231i | ||||
\(309\) | 4.20627 | 0.239286 | ||||||||
\(310\) | 0.886675 | − | 1.53577i | 0.0503598 | − | 0.0872257i | ||||
\(311\) | 28.1525 | − | 16.2539i | 1.59638 | − | 0.921672i | 0.604206 | − | 0.796828i | \(-0.293490\pi\) |
0.992176 | − | 0.124844i | \(-0.0398430\pi\) | |||||||
\(312\) | −1.17449 | + | 0.678092i | −0.0664924 | + | 0.0383894i | ||||
\(313\) | 12.7278 | + | 7.34842i | 0.719419 | + | 0.415357i | 0.814539 | − | 0.580109i | \(-0.196990\pi\) |
−0.0951195 | + | 0.995466i | \(0.530323\pi\) | |||||||
\(314\) | −3.23389 | −0.182499 | ||||||||
\(315\) | 2.05846 | − | 5.56702i | 0.115981 | − | 0.313666i | ||||
\(316\) | 16.5243i | 0.929564i | ||||||||
\(317\) | 9.25710 | + | 5.34459i | 0.519930 | + | 0.300182i | 0.736906 | − | 0.675995i | \(-0.236286\pi\) |
−0.216976 | + | 0.976177i | \(0.569619\pi\) | |||||||
\(318\) | 5.53539 | + | 9.58758i | 0.310409 | + | 0.537645i | ||||
\(319\) | −0.0362142 | + | 0.0209083i | −0.00202761 | + | 0.00117064i | ||||
\(320\) | −1.94282 | − | 1.12169i | −0.108607 | − | 0.0627041i | ||||
\(321\) | 5.73137i | 0.319894i | ||||||||
\(322\) | −5.46149 | + | 14.7704i | −0.304357 | + | 0.823120i | ||||
\(323\) | −8.99850 | + | 1.92757i | −0.500690 | + | 0.107253i | ||||
\(324\) | 0.500000 | − | 0.866025i | 0.0277778 | − | 0.0481125i | ||||
\(325\) | −0.0221799 | − | 0.0384167i | −0.00123032 | − | 0.00213098i | ||||
\(326\) | −17.3346 | + | 10.0081i | −0.960075 | + | 0.554299i | ||||
\(327\) | 5.26185 | + | 3.03793i | 0.290981 | + | 0.167998i | ||||
\(328\) | 5.25404i | 0.290106i | ||||||||
\(329\) | −5.23753 | + | 0.895983i | −0.288754 | + | 0.0493971i | ||||
\(330\) | 3.61167 | 0.198816 | ||||||||
\(331\) | 13.6067 | + | 7.85581i | 0.747890 | + | 0.431794i | 0.824931 | − | 0.565233i | \(-0.191214\pi\) |
−0.0770410 | + | 0.997028i | \(0.524547\pi\) | |||||||
\(332\) | −3.62713 | + | 2.09412i | −0.199064 | + | 0.114930i | ||||
\(333\) | 1.65311 | − | 0.954425i | 0.0905900 | − | 0.0523022i | ||||
\(334\) | −2.67648 | − | 1.54527i | −0.146450 | − | 0.0845532i | ||||
\(335\) | 22.5135 | 1.23004 | ||||||||
\(336\) | 2.03542 | − | 1.69029i | 0.111041 | − | 0.0922129i | ||||
\(337\) | − | 30.6756i | − | 1.67100i | −0.549487 | − | 0.835502i | \(-0.685177\pi\) | ||
0.549487 | − | 0.835502i | \(-0.314823\pi\) | |||||||
\(338\) | 9.66550 | + | 5.58038i | 0.525734 | + | 0.303533i | ||||
\(339\) | −9.04228 | + | 5.22056i | −0.491109 | + | 0.283542i | ||||
\(340\) | −2.36814 | − | 4.10173i | −0.128430 | − | 0.222448i | ||||
\(341\) | −0.636313 | + | 1.10213i | −0.0344583 | + | 0.0596835i | ||||
\(342\) | 4.26221 | − | 0.913009i | 0.230474 | − | 0.0493699i | ||||
\(343\) | 9.01350 | + | 16.1789i | 0.486684 | + | 0.873578i | ||||
\(344\) | − | 2.15879i | − | 0.116394i | ||||||
\(345\) | −11.5638 | − | 6.67637i | −0.622575 | − | 0.359444i | ||||
\(346\) | −3.34625 | + | 1.93196i | −0.179896 | + | 0.103863i | ||||
\(347\) | −0.708212 | − | 1.22666i | −0.0380188 | − | 0.0658505i | 0.846390 | − | 0.532564i | \(-0.178771\pi\) |
−0.884409 | + | 0.466713i | \(0.845438\pi\) | |||||||
\(348\) | −0.0224943 | − | 0.0129871i | −0.00120582 | − | 0.000696180i | ||||
\(349\) | − | 11.2182i | − | 0.600497i | −0.953861 | − | 0.300249i | \(-0.902930\pi\) | ||
0.953861 | − | 0.300249i | \(-0.0970696\pi\) | |||||||
\(350\) | 0.0552882 | + | 0.0665769i | 0.00295528 | + | 0.00355869i | ||||
\(351\) | 1.35618 | 0.0723878 | ||||||||
\(352\) | 1.39424 | + | 0.804965i | 0.0743133 | + | 0.0429048i | ||||
\(353\) | −16.7147 | + | 9.65024i | −0.889634 | + | 0.513631i | −0.873823 | − | 0.486244i | \(-0.838367\pi\) |
−0.0158116 | + | 0.999875i | \(0.505033\pi\) | |||||||
\(354\) | −4.97845 | + | 2.87431i | −0.264602 | + | 0.152768i | ||||
\(355\) | −12.9600 | + | 22.4473i | −0.687843 | + | 1.19138i | ||||
\(356\) | −9.15177 | −0.485043 | ||||||||
\(357\) | 5.50581 | − | 0.941878i | 0.291398 | − | 0.0498494i | ||||
\(358\) | 10.6962 | 0.565311 | ||||||||
\(359\) | 15.9474 | − | 27.6217i | 0.841673 | − | 1.45782i | −0.0468069 | − | 0.998904i | \(-0.514905\pi\) |
0.888480 | − | 0.458916i | \(-0.151762\pi\) | |||||||
\(360\) | 1.12169 | + | 1.94282i | 0.0591180 | + | 0.102395i | ||||
\(361\) | 15.4066 | + | 11.1192i | 0.810872 | + | 0.585223i | ||||
\(362\) | 7.61919 | + | 4.39894i | 0.400456 | + | 0.231203i | ||||
\(363\) | 8.40812 | 0.441312 | ||||||||
\(364\) | 3.36543 | + | 1.24440i | 0.176397 | + | 0.0652244i | ||||
\(365\) | −16.2491 | −0.850515 | ||||||||
\(366\) | 4.14983 | − | 7.18771i | 0.216915 | − | 0.375708i | ||||
\(367\) | −19.0364 | + | 10.9907i | −0.993693 | + | 0.573709i | −0.906376 | − | 0.422472i | \(-0.861163\pi\) |
−0.0873170 | + | 0.996181i | \(0.527829\pi\) | |||||||
\(368\) | −2.97604 | − | 5.15466i | −0.155137 | − | 0.268705i | ||||
\(369\) | 2.62702 | − | 4.55013i | 0.136757 | − | 0.236870i | ||||
\(370\) | 4.28226i | 0.222624i | ||||||||
\(371\) | 10.1583 | − | 27.4726i | 0.527392 | − | 1.42631i | ||||
\(372\) | −0.790485 | −0.0409848 | ||||||||
\(373\) | 8.70410 | + | 5.02532i | 0.450681 | + | 0.260201i | 0.708118 | − | 0.706094i | \(-0.249545\pi\) |
−0.257437 | + | 0.966295i | \(0.582878\pi\) | |||||||
\(374\) | 1.69947 | + | 2.94356i | 0.0878773 | + | 0.152208i | ||||
\(375\) | 9.65053 | − | 5.57174i | 0.498351 | − | 0.287723i | ||||
\(376\) | 1.00418 | − | 1.73929i | 0.0517865 | − | 0.0896969i | ||||
\(377\) | − | 0.0352257i | − | 0.00181422i | ||||||
\(378\) | −2.60787 | + | 0.446127i | −0.134134 | + | 0.0229463i | ||||
\(379\) | 13.7164i | 0.704565i | 0.935894 | + | 0.352282i | \(0.114594\pi\) | ||||
−0.935894 | + | 0.352282i | \(0.885406\pi\) | |||||||
\(380\) | −3.00705 | + | 9.30479i | −0.154258 | + | 0.477326i | ||||
\(381\) | −8.89221 | + | 5.13392i | −0.455562 | + | 0.263019i | ||||
\(382\) | −8.21354 | + | 4.74209i | −0.420241 | + | 0.242626i | ||||
\(383\) | −15.4039 | + | 26.6803i | −0.787101 | + | 1.36330i | 0.140634 | + | 0.990062i | \(0.455086\pi\) |
−0.927736 | + | 0.373238i | \(0.878248\pi\) | |||||||
\(384\) | 1.00000i | 0.0510310i | ||||||||
\(385\) | −6.10477 | − | 7.35125i | −0.311128 | − | 0.374654i | ||||
\(386\) | −22.8807 | −1.16460 | ||||||||
\(387\) | −1.07939 | + | 1.86957i | −0.0548687 | + | 0.0950354i | ||||
\(388\) | −1.42682 | − | 2.47133i | −0.0724360 | − | 0.125463i | ||||
\(389\) | 5.80891 | + | 10.0613i | 0.294523 | + | 0.510130i | 0.974874 | − | 0.222757i | \(-0.0715058\pi\) |
−0.680350 | + | 0.732887i | \(0.738172\pi\) | |||||||
\(390\) | −1.52121 | + | 2.63482i | −0.0770296 | + | 0.133419i | ||||
\(391\) | − | 12.5662i | − | 0.635501i | ||||||
\(392\) | −6.88089 | − | 1.28583i | −0.347537 | − | 0.0649443i | ||||
\(393\) | 8.29142i | 0.418247i | ||||||||
\(394\) | −5.82169 | − | 3.36115i | −0.293292 | − | 0.169332i | ||||
\(395\) | 18.5350 | + | 32.1036i | 0.932599 | + | 1.61531i | ||||
\(396\) | −0.804965 | − | 1.39424i | −0.0404510 | − | 0.0700632i | ||||
\(397\) | 6.73975 | + | 3.89120i | 0.338259 | + | 0.195294i | 0.659502 | − | 0.751703i | \(-0.270767\pi\) |
−0.321243 | + | 0.946997i | \(0.604101\pi\) | |||||||
\(398\) | 11.3061 | 0.566726 | ||||||||
\(399\) | −9.06272 | − | 7.13211i | −0.453704 | − | 0.357052i | ||||
\(400\) | −0.0327093 | −0.00163546 | ||||||||
\(401\) | −11.7854 | − | 6.80432i | −0.588537 | − | 0.339792i | 0.175982 | − | 0.984393i | \(-0.443690\pi\) |
−0.764519 | + | 0.644602i | \(0.777023\pi\) | |||||||
\(402\) | −5.01779 | − | 8.69107i | −0.250265 | − | 0.433471i | ||||
\(403\) | −0.536022 | − | 0.928417i | −0.0267012 | − | 0.0462478i | ||||
\(404\) | 9.77591 | + | 5.64413i | 0.486370 | + | 0.280806i | ||||
\(405\) | − | 2.24337i | − | 0.111474i | ||||||
\(406\) | 0.0115878 | + | 0.0677371i | 0.000575092 | + | 0.00336174i | ||||
\(407\) | − | 3.07312i | − | 0.152329i | ||||||
\(408\) | −1.05562 | + | 1.82838i | −0.0522607 | + | 0.0905182i | ||||
\(409\) | 2.57781 | + | 4.46490i | 0.127465 | + | 0.220775i | 0.922694 | − | 0.385534i | \(-0.125983\pi\) |
−0.795229 | + | 0.606309i | \(0.792649\pi\) | |||||||
\(410\) | 5.89337 | + | 10.2076i | 0.291053 | + | 0.504119i | ||||
\(411\) | −1.66119 | + | 2.87726i | −0.0819404 | + | 0.141925i | ||||
\(412\) | 4.20627 | 0.207228 | ||||||||
\(413\) | 14.2654 | + | 5.27479i | 0.701957 | + | 0.259556i | ||||
\(414\) | 5.95209i | 0.292529i | ||||||||
\(415\) | −4.69789 | + | 8.13699i | −0.230610 | + | 0.399429i | ||||
\(416\) | −1.17449 | + | 0.678092i | −0.0575841 | + | 0.0332462i | ||||
\(417\) | 11.6348 | − | 6.71733i | 0.569756 | − | 0.328949i | ||||
\(418\) | 2.15798 | − | 6.67748i | 0.105550 | − | 0.326606i | ||||
\(419\) | 29.8279i | 1.45719i | 0.684946 | + | 0.728594i | \(0.259826\pi\) | ||||
−0.684946 | + | 0.728594i | \(0.740174\pi\) | |||||||
\(420\) | 2.05846 | − | 5.56702i | 0.100443 | − | 0.271643i | ||||
\(421\) | − | 21.3904i | − | 1.04250i | −0.853403 | − | 0.521251i | \(-0.825465\pi\) | ||
0.853403 | − | 0.521251i | \(-0.174535\pi\) | |||||||
\(422\) | −10.1120 | + | 17.5146i | −0.492246 | + | 0.852596i | ||||
\(423\) | −1.73929 | + | 1.00418i | −0.0845671 | + | 0.0488248i | ||||
\(424\) | 5.53539 | + | 9.58758i | 0.268822 | + | 0.465614i | ||||
\(425\) | −0.0598049 | − | 0.0345284i | −0.00290097 | − | 0.00167487i | ||||
\(426\) | 11.5540 | 0.559793 | ||||||||
\(427\) | −21.6444 | + | 3.70270i | −1.04745 | + | 0.179186i | ||||
\(428\) | 5.73137i | 0.277036i | ||||||||
\(429\) | 1.09168 | − | 1.89085i | 0.0527069 | − | 0.0912910i | ||||
\(430\) | −2.42148 | − | 4.19413i | −0.116774 | − | 0.202259i | ||||
\(431\) | 0.567786 | − | 0.327812i | 0.0273493 | − | 0.0157901i | −0.486263 | − | 0.873812i | \(-0.661640\pi\) |
0.513612 | + | 0.858022i | \(0.328307\pi\) | |||||||
\(432\) | 0.500000 | − | 0.866025i | 0.0240563 | − | 0.0416667i | ||||
\(433\) | −40.3329 | −1.93827 | −0.969137 | − | 0.246523i | \(-0.920712\pi\) | ||||
−0.969137 | + | 0.246523i | \(0.920712\pi\) | |||||||
\(434\) | 1.33615 | + | 1.60897i | 0.0641373 | + | 0.0772328i | ||||
\(435\) | −0.0582696 | −0.00279381 | ||||||||
\(436\) | 5.26185 | + | 3.03793i | 0.251997 | + | 0.145490i | ||||
\(437\) | −19.2531 | + | 17.3908i | −0.920999 | + | 0.831913i | ||||
\(438\) | 3.62157 | + | 6.27275i | 0.173045 | + | 0.299724i | ||||
\(439\) | −6.50993 | + | 11.2755i | −0.310702 | + | 0.538151i | −0.978515 | − | 0.206178i | \(-0.933897\pi\) |
0.667813 | + | 0.744329i | \(0.267231\pi\) | |||||||
\(440\) | 3.61167 | 0.172180 | ||||||||
\(441\) | 5.31611 | + | 4.55401i | 0.253148 | + | 0.216857i | ||||
\(442\) | −2.86322 | −0.136189 | ||||||||
\(443\) | −17.4705 | + | 30.2598i | −0.830048 | + | 1.43769i | 0.0679508 | + | 0.997689i | \(0.478354\pi\) |
−0.897999 | + | 0.439997i | \(0.854979\pi\) | |||||||
\(444\) | 1.65311 | − | 0.954425i | 0.0784532 | − | 0.0452950i | ||||
\(445\) | −17.7802 | + | 10.2654i | −0.842862 | + | 0.486627i | ||||
\(446\) | 14.8850 | + | 8.59386i | 0.704826 | + | 0.406931i | ||||
\(447\) | 12.5553 | 0.593846 | ||||||||
\(448\) | 2.03542 | − | 1.69029i | 0.0961643 | − | 0.0798588i | ||||
\(449\) | 13.6664i | 0.644956i | 0.946577 | + | 0.322478i | \(0.104516\pi\) | ||||
−0.946577 | + | 0.322478i | \(0.895484\pi\) | |||||||
\(450\) | 0.0283271 | + | 0.0163546i | 0.00133535 | + | 0.000770965i | ||||
\(451\) | −4.22932 | − | 7.32539i | −0.199151 | − | 0.344939i | ||||
\(452\) | −9.04228 | + | 5.22056i | −0.425313 | + | 0.245555i | ||||
\(453\) | 8.47584 | + | 4.89353i | 0.398230 | + | 0.229918i | ||||
\(454\) | 1.98593i | 0.0932042i | ||||||||
\(455\) | 7.93424 | − | 1.35731i | 0.371963 | − | 0.0636316i | ||||
\(456\) | 4.26221 | − | 0.913009i | 0.199596 | − | 0.0427556i | ||||
\(457\) | −14.5046 | + | 25.1227i | −0.678496 | + | 1.17519i | 0.296937 | + | 0.954897i | \(0.404035\pi\) |
−0.975434 | + | 0.220293i | \(0.929299\pi\) | |||||||
\(458\) | 0.502340 | + | 0.870078i | 0.0234728 | + | 0.0406561i | ||||
\(459\) | 1.82838 | − | 1.05562i | 0.0853414 | − | 0.0492719i | ||||
\(460\) | −11.5638 | − | 6.67637i | −0.539165 | − | 0.311287i | ||||
\(461\) | − | 16.7451i | − | 0.779895i | −0.920837 | − | 0.389948i | \(-0.872493\pi\) | ||
0.920837 | − | 0.389948i | \(-0.127507\pi\) | |||||||
\(462\) | −1.47723 | + | 3.99511i | −0.0687271 | + | 0.185869i | ||||
\(463\) | 14.4518 | 0.671631 | 0.335815 | − | 0.941928i | \(-0.390988\pi\) | ||||
0.335815 | + | 0.941928i | \(0.390988\pi\) | |||||||
\(464\) | −0.0224943 | − | 0.0129871i | −0.00104427 | − | 0.000602910i | ||||
\(465\) | −1.53577 | + | 0.886675i | −0.0712195 | + | 0.0411186i | ||||
\(466\) | −20.9538 | + | 12.0977i | −0.970667 | + | 0.560415i | ||||
\(467\) | −5.50108 | − | 3.17605i | −0.254560 | − | 0.146970i | 0.367291 | − | 0.930106i | \(-0.380285\pi\) |
−0.621850 | + | 0.783136i | \(0.713619\pi\) | |||||||
\(468\) | 1.35618 | 0.0626897 | ||||||||
\(469\) | −9.20840 | + | 24.9037i | −0.425205 | + | 1.14995i | ||||
\(470\) | − | 4.50549i | − | 0.207823i | ||||||
\(471\) | 2.80063 | + | 1.61695i | 0.129046 | + | 0.0745050i | ||||
\(472\) | −4.97845 | + | 2.87431i | −0.229152 | + | 0.132301i | ||||
\(473\) | 1.73775 | + | 3.00987i | 0.0799019 | + | 0.138394i | ||||
\(474\) | 8.26214 | − | 14.3105i | 0.379493 | − | 0.657301i | ||||
\(475\) | 0.0298638 | + | 0.139414i | 0.00137025 | + | 0.00639674i | ||||
\(476\) | 5.50581 | − | 0.941878i | 0.252358 | − | 0.0431709i | ||||
\(477\) | − | 11.0708i | − | 0.506896i | ||||||
\(478\) | −1.73012 | − | 0.998888i | −0.0791340 | − | 0.0456881i | ||||
\(479\) | −13.8173 | + | 7.97745i | −0.631331 | + | 0.364499i | −0.781267 | − | 0.624197i | \(-0.785426\pi\) |
0.149936 | + | 0.988696i | \(0.452093\pi\) | |||||||
\(480\) | 1.12169 | + | 1.94282i | 0.0511977 | + | 0.0886770i | ||||
\(481\) | 2.24193 | + | 1.29438i | 0.102223 | + | 0.0590185i | ||||
\(482\) | − | 19.8557i | − | 0.904402i | ||||||
\(483\) | 12.1150 | − | 10.0608i | 0.551250 | − | 0.457780i | ||||
\(484\) | 8.40812 | 0.382187 | ||||||||
\(485\) | −5.54411 | − | 3.20089i | −0.251745 | − | 0.145345i | ||||
\(486\) | −0.866025 | + | 0.500000i | −0.0392837 | + | 0.0226805i | ||||
\(487\) | 0.588517 | − | 0.339781i | 0.0266683 | − | 0.0153969i | −0.486607 | − | 0.873621i | \(-0.661765\pi\) |
0.513275 | + | 0.858224i | \(0.328432\pi\) | |||||||
\(488\) | 4.14983 | − | 7.18771i | 0.187854 | − | 0.325372i | ||||
\(489\) | 20.0163 | 0.905167 | ||||||||
\(490\) | −14.8106 | + | 5.22006i | −0.669075 | + | 0.235818i | ||||
\(491\) | 23.5083 | 1.06091 | 0.530457 | − | 0.847712i | \(-0.322020\pi\) | ||||
0.530457 | + | 0.847712i | \(0.322020\pi\) | |||||||
\(492\) | 2.62702 | − | 4.55013i | 0.118435 | − | 0.205136i | ||||
\(493\) | −0.0274187 | − | 0.0474906i | −0.00123488 | − | 0.00213887i | ||||
\(494\) | 3.96249 | + | 4.38682i | 0.178281 | + | 0.197372i | ||||
\(495\) | −3.12780 | − | 1.80584i | −0.140584 | − | 0.0811662i | ||||
\(496\) | −0.790485 | −0.0354938 | ||||||||
\(497\) | −19.5296 | − | 23.5172i | −0.876024 | − | 1.05489i | ||||
\(498\) | 4.18825 | 0.187680 | ||||||||
\(499\) | 17.9111 | − | 31.0230i | 0.801812 | − | 1.38878i | −0.116610 | − | 0.993178i | \(-0.537203\pi\) |
0.918422 | − | 0.395602i | \(-0.129464\pi\) | |||||||
\(500\) | 9.65053 | − | 5.57174i | 0.431585 | − | 0.249176i | ||||
\(501\) | 1.54527 | + | 2.67648i | 0.0690374 | + | 0.119576i | ||||
\(502\) | 10.7304 | − | 18.5856i | 0.478921 | − | 0.829515i | ||||
\(503\) | 28.3461i | 1.26389i | 0.775013 | + | 0.631946i | \(0.217743\pi\) | ||||
−0.775013 | + | 0.631946i | \(0.782257\pi\) | |||||||
\(504\) | −2.60787 | + | 0.446127i | −0.116164 | + | 0.0198721i | ||||
\(505\) | 25.3237 | 1.12689 | ||||||||
\(506\) | 8.29864 | + | 4.79122i | 0.368920 | + | 0.212996i | ||||
\(507\) | −5.58038 | − | 9.66550i | −0.247833 | − | 0.429260i | ||||
\(508\) | −8.89221 | + | 5.13392i | −0.394528 | + | 0.227781i | ||||
\(509\) | −5.34614 | + | 9.25978i | −0.236963 | + | 0.410433i | −0.959841 | − | 0.280543i | \(-0.909485\pi\) |
0.722878 | + | 0.690976i | \(0.242819\pi\) | |||||||
\(510\) | 4.73627i | 0.209726i | ||||||||
\(511\) | 6.64614 | − | 17.9742i | 0.294008 | − | 0.795131i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −4.14768 | − | 1.34041i | −0.183125 | − | 0.0591808i | ||||
\(514\) | −22.9944 | + | 13.2758i | −1.01424 | + | 0.585571i | ||||
\(515\) | 8.17201 | − | 4.71811i | 0.360102 | − | 0.207905i | ||||
\(516\) | −1.07939 | + | 1.86957i | −0.0475177 | + | 0.0823031i | ||||
\(517\) | 3.23332i | 0.142201i | ||||||||
\(518\) | −4.73689 | − | 1.75151i | −0.208127 | − | 0.0769571i | ||||
\(519\) | 3.86392 | 0.169607 | ||||||||
\(520\) | −1.52121 | + | 2.63482i | −0.0667096 | + | 0.115544i | ||||
\(521\) | −1.88335 | − | 3.26206i | −0.0825110 | − | 0.142913i | 0.821817 | − | 0.569752i | \(-0.192961\pi\) |
−0.904328 | + | 0.426838i | \(0.859627\pi\) | |||||||
\(522\) | 0.0129871 | + | 0.0224943i | 0.000568429 | + | 0.000984548i | ||||
\(523\) | 0.855257 | − | 1.48135i | 0.0373978 | − | 0.0647748i | −0.846721 | − | 0.532038i | \(-0.821426\pi\) |
0.884118 | + | 0.467263i | \(0.154760\pi\) | |||||||
\(524\) | 8.29142i | 0.362213i | ||||||||
\(525\) | −0.0145925 | − | 0.0853014i | −0.000636869 | − | 0.00372286i | ||||
\(526\) | − | 7.93362i | − | 0.345922i | ||||||
\(527\) | −1.44531 | − | 0.834448i | −0.0629585 | − | 0.0363491i | ||||
\(528\) | −0.804965 | − | 1.39424i | −0.0350316 | − | 0.0606765i | ||||
\(529\) | −6.21368 | − | 10.7624i | −0.270160 | − | 0.467930i | ||||
\(530\) | 21.5085 | + | 12.4179i | 0.934269 | + | 0.539400i | ||||
\(531\) | 5.74862 | 0.249469 | ||||||||
\(532\) | −9.06272 | − | 7.13211i | −0.392919 | − | 0.309216i | ||||
\(533\) | 7.12545 | 0.308637 | ||||||||
\(534\) | 7.92566 | + | 4.57588i | 0.342977 | + | 0.198018i | ||||
\(535\) | 6.42880 | + | 11.1350i | 0.277941 | + | 0.481408i | ||||
\(536\) | −5.01779 | − | 8.69107i | −0.216735 | − | 0.375397i | ||||
\(537\) | −9.26318 | − | 5.34810i | −0.399736 | − | 0.230787i | ||||
\(538\) | − | 5.02466i | − | 0.216628i | ||||||
\(539\) | 10.6287 | − | 3.74612i | 0.457809 | − | 0.161357i | ||||
\(540\) | − | 2.24337i | − | 0.0965393i | ||||||
\(541\) | −4.03591 | + | 6.99039i | −0.173517 | + | 0.300540i | −0.939647 | − | 0.342145i | \(-0.888847\pi\) |
0.766130 | + | 0.642686i | \(0.222180\pi\) | |||||||
\(542\) | −10.7266 | − | 18.5790i | −0.460747 | − | 0.798038i | ||||
\(543\) | −4.39894 | − | 7.61919i | −0.188777 | − | 0.326971i | ||||
\(544\) | −1.05562 | + | 1.82838i | −0.0452591 | + | 0.0783911i | ||||
\(545\) | 13.6304 | 0.583862 | ||||||||
\(546\) | −2.29235 | − | 2.76040i | −0.0981034 | − | 0.118134i | ||||
\(547\) | − | 15.9818i | − | 0.683332i | −0.939822 | − | 0.341666i | \(-0.889009\pi\) | ||
0.939822 | − | 0.341666i | \(-0.110991\pi\) | |||||||
\(548\) | −1.66119 | + | 2.87726i | −0.0709625 | + | 0.122911i | ||||
\(549\) | −7.18771 | + | 4.14983i | −0.306764 | + | 0.177110i | ||||
\(550\) | 0.0456046 | − | 0.0263298i | 0.00194459 | − | 0.00112271i | ||||
\(551\) | −0.0348161 | + | 0.107733i | −0.00148322 | + | 0.00458956i | ||||
\(552\) | 5.95209i | 0.253338i | ||||||||
\(553\) | −43.0931 | + | 7.37194i | −1.83251 | + | 0.313487i | ||||
\(554\) | 4.39790i | 0.186849i | ||||||||
\(555\) | 2.14113 | − | 3.70854i | 0.0908858 | − | 0.157419i | ||||
\(556\) | 11.6348 | − | 6.71733i | 0.493423 | − | 0.284878i | ||||
\(557\) | 15.2697 | + | 26.4478i | 0.646996 | + | 1.12063i | 0.983837 | + | 0.179068i | \(0.0573082\pi\) |
−0.336841 | + | 0.941562i | \(0.609358\pi\) | |||||||
\(558\) | 0.684580 | + | 0.395243i | 0.0289806 | + | 0.0167320i | ||||
\(559\) | −2.92772 | −0.123829 | ||||||||
\(560\) | 2.05846 | − | 5.56702i | 0.0869859 | − | 0.235249i | ||||
\(561\) | − | 3.39893i | − | 0.143503i | ||||||
\(562\) | −6.28426 | + | 10.8847i | −0.265086 | + | 0.459142i | ||||
\(563\) | 0.696839 | + | 1.20696i | 0.0293683 | + | 0.0508673i | 0.880336 | − | 0.474351i | \(-0.157317\pi\) |
−0.850968 | + | 0.525218i | \(0.823984\pi\) | |||||||
\(564\) | −1.73929 | + | 1.00418i | −0.0732372 | + | 0.0422835i | ||||
\(565\) | −11.7117 | + | 20.2852i | −0.492713 | + | 0.853404i | ||||
\(566\) | 6.73455 | 0.283074 | ||||||||
\(567\) | 2.48154 | + | 0.917576i | 0.104215 | + | 0.0385346i | ||||
\(568\) | 11.5540 | 0.484795 | ||||||||
\(569\) | −37.8894 | − | 21.8755i | −1.58841 | − | 0.917067i | −0.993570 | − | 0.113221i | \(-0.963883\pi\) |
−0.594837 | − | 0.803846i | \(-0.702783\pi\) | |||||||
\(570\) | 7.25657 | − | 6.55466i | 0.303944 | − | 0.274545i | ||||
\(571\) | −10.6041 | − | 18.3668i | −0.443766 | − | 0.768625i | 0.554199 | − | 0.832384i | \(-0.313025\pi\) |
−0.997965 | + | 0.0637586i | \(0.979691\pi\) | |||||||
\(572\) | 1.09168 | − | 1.89085i | 0.0456455 | − | 0.0790603i | ||||
\(573\) | 9.48417 | 0.396207 | ||||||||
\(574\) | −13.7018 | + | 2.34397i | −0.571903 | + | 0.0978354i | ||||
\(575\) | −0.194688 | −0.00811907 | ||||||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | 27.8785 | − | 16.0957i | 1.16060 | − | 0.670071i | 0.209150 | − | 0.977884i | \(-0.432930\pi\) |
0.951447 | + | 0.307812i | \(0.0995969\pi\) | |||||||
\(578\) | 10.8623 | − | 6.27135i | 0.451812 | − | 0.260854i | ||||
\(579\) | 19.8153 | + | 11.4404i | 0.823496 | + | 0.475445i | ||||
\(580\) | −0.0582696 | −0.00241951 | ||||||||
\(581\) | −7.07935 | − | 8.52482i | −0.293701 | − | 0.353669i | ||||
\(582\) | 2.85365i | 0.118287i | ||||||||
\(583\) | −15.4353 | − | 8.91159i | −0.639266 | − | 0.369080i | ||||
\(584\) | 3.62157 | + | 6.27275i | 0.149862 | + | 0.259568i | ||||
\(585\) | 2.63482 | − | 1.52121i | 0.108936 | − | 0.0628944i | ||||
\(586\) | 18.5178 | + | 10.6912i | 0.764962 | + | 0.441651i | ||||
\(587\) | − | 13.6328i | − | 0.562687i | −0.959607 | − | 0.281344i | \(-0.909220\pi\) | ||
0.959607 | − | 0.281344i | \(-0.0907801\pi\) | |||||||
\(588\) | 5.31611 | + | 4.55401i | 0.219233 | + | 0.187804i | ||||
\(589\) | 0.721720 | + | 3.36921i | 0.0297380 | + | 0.138826i | ||||
\(590\) | −6.44814 | + | 11.1685i | −0.265466 | + | 0.459800i | ||||
\(591\) | 3.36115 | + | 5.82169i | 0.138259 | + | 0.239472i | ||||
\(592\) | 1.65311 | − | 0.954425i | 0.0679425 | − | 0.0392266i | ||||
\(593\) | −31.5616 | − | 18.2221i | −1.29608 | − | 0.748293i | −0.316356 | − | 0.948641i | \(-0.602459\pi\) |
−0.979725 | + | 0.200348i | \(0.935793\pi\) | |||||||
\(594\) | 1.60993i | 0.0660563i | ||||||||
\(595\) | 9.64028 | − | 8.00568i | 0.395213 | − | 0.328201i | ||||
\(596\) | 12.5553 | 0.514285 | ||||||||
\(597\) | −9.79141 | − | 5.65307i | −0.400736 | − | 0.231365i | ||||
\(598\) | −6.99067 | + | 4.03607i | −0.285870 | + | 0.165047i | ||||
\(599\) | 27.3905 | − | 15.8139i | 1.11915 | − | 0.646140i | 0.177964 | − | 0.984037i | \(-0.443049\pi\) |
0.941183 | + | 0.337898i | \(0.109716\pi\) | |||||||
\(600\) | 0.0283271 | + | 0.0163546i | 0.00115645 | + | 0.000667675i | ||||
\(601\) | −15.3523 | −0.626232 | −0.313116 | − | 0.949715i | \(-0.601373\pi\) | ||||
−0.313116 | + | 0.949715i | \(0.601373\pi\) | |||||||
\(602\) | 5.62984 | − | 0.963095i | 0.229455 | − | 0.0392528i | ||||
\(603\) | 10.0356i | 0.408680i | ||||||||
\(604\) | 8.47584 | + | 4.89353i | 0.344877 | + | 0.199115i | ||||
\(605\) | 16.3354 | − | 9.43127i | 0.664130 | − | 0.383436i | ||||
\(606\) | −5.64413 | − | 9.77591i | −0.229277 | − | 0.397119i | ||||
\(607\) | −3.34946 | + | 5.80143i | −0.135950 | + | 0.235473i | −0.925960 | − | 0.377621i | \(-0.876742\pi\) |
0.790010 | + | 0.613094i | \(0.210075\pi\) | |||||||
\(608\) | 4.26221 | − | 0.913009i | 0.172855 | − | 0.0370274i | ||||
\(609\) | 0.0238333 | − | 0.0644560i | 0.000965772 | − | 0.00261189i | ||||
\(610\) | − | 18.6192i | − | 0.753869i | ||||||
\(611\) | −2.35880 | − | 1.36185i | −0.0954267 | − | 0.0550946i | ||||
\(612\) | 1.82838 | − | 1.05562i | 0.0739078 | − | 0.0426707i | ||||
\(613\) | −13.0275 | − | 22.5643i | −0.526176 | − | 0.911364i | −0.999535 | − | 0.0304940i | \(-0.990292\pi\) |
0.473359 | − | 0.880870i | \(-0.343041\pi\) | |||||||
\(614\) | −21.0703 | − | 12.1649i | −0.850328 | − | 0.490937i | ||||
\(615\) | − | 11.7867i | − | 0.475288i | ||||||
\(616\) | −1.47723 | + | 3.99511i | −0.0595194 | + | 0.160968i | ||||
\(617\) | −28.2895 | −1.13889 | −0.569447 | − | 0.822028i | \(-0.692843\pi\) | ||||
−0.569447 | + | 0.822028i | \(0.692843\pi\) | |||||||
\(618\) | −3.64274 | − | 2.10314i | −0.146532 | − | 0.0846005i | ||||
\(619\) | −9.92577 | + | 5.73064i | −0.398950 | + | 0.230334i | −0.686031 | − | 0.727572i | \(-0.740649\pi\) |
0.287081 | + | 0.957906i | \(0.407315\pi\) | |||||||
\(620\) | −1.53577 | + | 0.886675i | −0.0616779 | + | 0.0356097i | ||||
\(621\) | 2.97604 | − | 5.15466i | 0.119425 | − | 0.206849i | ||||
\(622\) | −32.5077 | −1.30344 | ||||||||
\(623\) | −4.08285 | − | 23.8666i | −0.163576 | − | 0.956195i | ||||
\(624\) | 1.35618 | 0.0542908 | ||||||||
\(625\) | 12.5812 | − | 21.7913i | 0.503250 | − | 0.871654i | ||||
\(626\) | −7.34842 | − | 12.7278i | −0.293702 | − | 0.508706i | ||||
\(627\) | −5.20760 | + | 4.70388i | −0.207972 | + | 0.187855i | ||||
\(628\) | 2.80063 | + | 1.61695i | 0.111757 | + | 0.0645232i | ||||
\(629\) | 4.03002 | 0.160687 | ||||||||
\(630\) | −4.56619 | + | 3.79195i | −0.181921 | + | 0.151075i | ||||
\(631\) | −10.9684 | −0.436647 | −0.218323 | − | 0.975877i | \(-0.570059\pi\) | ||||
−0.218323 | + | 0.975877i | \(0.570059\pi\) | |||||||
\(632\) | 8.26214 | − | 14.3105i | 0.328650 | − | 0.569239i | ||||
\(633\) | 17.5146 | − | 10.1120i | 0.696142 | − | 0.401918i | ||||
\(634\) | −5.34459 | − | 9.25710i | −0.212261 | − | 0.367646i | ||||
\(635\) | −11.5173 | + | 19.9485i | −0.457050 | + | 0.791633i | ||||
\(636\) | − | 11.0708i | − | 0.438985i | ||||||
\(637\) | −1.74383 | + | 9.33176i | −0.0690929 | + | 0.369738i | ||||
\(638\) | 0.0418166 | 0.00165553 | ||||||||
\(639\) | −10.0061 | − | 5.77700i | −0.395834 | − | 0.228535i | ||||
\(640\) | 1.12169 | + | 1.94282i | 0.0443385 | + | 0.0767965i | ||||
\(641\) | 33.7903 | − | 19.5089i | 1.33464 | − | 0.770554i | 0.348632 | − | 0.937260i | \(-0.386646\pi\) |
0.986007 | + | 0.166706i | \(0.0533130\pi\) | |||||||
\(642\) | 2.86569 | − | 4.96352i | 0.113100 | − | 0.195894i | ||||
\(643\) | − | 38.6734i | − | 1.52513i | −0.646912 | − | 0.762564i | \(-0.723940\pi\) | ||
0.646912 | − | 0.762564i | \(-0.276060\pi\) | |||||||
\(644\) | 12.1150 | − | 10.0608i | 0.477397 | − | 0.396450i | ||||
\(645\) | 4.84296i | 0.190692i | ||||||||
\(646\) | 8.75672 | + | 2.82992i | 0.344528 | + | 0.111342i | ||||
\(647\) | −8.38989 | + | 4.84391i | −0.329841 | + | 0.190434i | −0.655770 | − | 0.754960i | \(-0.727656\pi\) |
0.325930 | + | 0.945394i | \(0.394323\pi\) | |||||||
\(648\) | −0.866025 | + | 0.500000i | −0.0340207 | + | 0.0196419i | ||||
\(649\) | 4.62744 | − | 8.01496i | 0.181643 | − | 0.314615i | ||||
\(650\) | 0.0443598i | 0.00173993i | ||||||||
\(651\) | −0.352657 | − | 2.06148i | −0.0138217 | − | 0.0807958i | ||||
\(652\) | 20.0163 | 0.783898 | ||||||||
\(653\) | −3.88876 | + | 6.73554i | −0.152179 | + | 0.263582i | −0.932028 | − | 0.362386i | \(-0.881962\pi\) |
0.779849 | + | 0.625967i | \(0.215296\pi\) | |||||||
\(654\) | −3.03793 | − | 5.26185i | −0.118792 | − | 0.205754i | ||||
\(655\) | 9.30037 | + | 16.1087i | 0.363395 | + | 0.629419i | ||||
\(656\) | 2.62702 | − | 4.55013i | 0.102568 | − | 0.177653i | ||||
\(657\) | − | 7.24315i | − | 0.282582i | ||||||
\(658\) | 4.98382 | + | 1.84282i | 0.194290 | + | 0.0718406i | ||||
\(659\) | − | 44.3171i | − | 1.72635i | −0.504906 | − | 0.863174i | \(-0.668473\pi\) | ||
0.504906 | − | 0.863174i | \(-0.331527\pi\) | |||||||
\(660\) | −3.12780 | − | 1.80584i | −0.121749 | − | 0.0702920i | ||||
\(661\) | 17.5538 | + | 30.4042i | 0.682766 | + | 1.18258i | 0.974133 | + | 0.225974i | \(0.0725563\pi\) |
−0.291368 | + | 0.956611i | \(0.594110\pi\) | |||||||
\(662\) | −7.85581 | − | 13.6067i | −0.305325 | − | 0.528838i | ||||
\(663\) | 2.47962 | + | 1.43161i | 0.0963005 | + | 0.0555991i | ||||
\(664\) | 4.18825 | 0.162535 | ||||||||
\(665\) | −25.6072 | − | 3.69086i | −0.993004 | − | 0.143125i | ||||
\(666\) | −1.90885 | −0.0739664 | ||||||||
\(667\) | −0.133888 | − | 0.0773002i | −0.00518416 | − | 0.00299308i | ||||
\(668\) | 1.54527 | + | 2.67648i | 0.0597881 | + | 0.103556i | ||||
\(669\) | −8.59386 | − | 14.8850i | −0.332258 | − | 0.575488i | ||||
\(670\) | −19.4973 | − | 11.2568i | −0.753246 | − | 0.434887i | ||||
\(671\) | 13.3619i | 0.515829i | ||||||||
\(672\) | −2.60787 | + | 0.446127i | −0.100601 | + | 0.0172097i | ||||
\(673\) | − | 12.9563i | − | 0.499429i | −0.968319 | − | 0.249715i | \(-0.919663\pi\) | ||
0.968319 | − | 0.249715i | \(-0.0803368\pi\) | |||||||
\(674\) | −15.3378 | + | 26.5658i | −0.590789 | + | 1.02328i | ||||
\(675\) | −0.0163546 | − | 0.0283271i | −0.000629490 | − | 0.00109031i | ||||
\(676\) | −5.58038 | − | 9.66550i | −0.214630 | − | 0.371750i | ||||
\(677\) | 3.10699 | − | 5.38146i | 0.119411 | − | 0.206826i | −0.800123 | − | 0.599836i | \(-0.795233\pi\) |
0.919535 | + | 0.393009i | \(0.128566\pi\) | |||||||
\(678\) | 10.4411 | 0.400989 | ||||||||
\(679\) | 5.80836 | − | 4.82349i | 0.222904 | − | 0.185109i | ||||
\(680\) | 4.73627i | 0.181628i | ||||||||
\(681\) | 0.992963 | − | 1.71986i | 0.0380504 | − | 0.0659053i | ||||
\(682\) | 1.10213 | − | 0.636313i | 0.0422026 | − | 0.0243657i | ||||
\(683\) | −6.65755 | + | 3.84374i | −0.254744 | + | 0.147076i | −0.621935 | − | 0.783069i | \(-0.713653\pi\) |
0.367191 | + | 0.930146i | \(0.380320\pi\) | |||||||
\(684\) | −4.14768 | − | 1.34041i | −0.158591 | − | 0.0512520i | ||||
\(685\) | 7.45333i | 0.284777i | ||||||||
\(686\) | 0.283525 | − | 18.5181i | 0.0108250 | − | 0.707024i | ||||
\(687\) | − | 1.00468i | − | 0.0383309i | ||||||
\(688\) | −1.07939 | + | 1.86957i | −0.0411515 | + | 0.0712766i | ||||
\(689\) | 13.0025 | − | 7.50701i | 0.495357 | − | 0.285994i | ||||
\(690\) | 6.67637 | + | 11.5638i | 0.254165 | + | 0.440227i | ||||
\(691\) | −15.1717 | − | 8.75939i | −0.577159 | − | 0.333223i | 0.182845 | − | 0.983142i | \(-0.441469\pi\) |
−0.760004 | + | 0.649919i | \(0.774803\pi\) | |||||||
\(692\) | 3.86392 | 0.146884 | ||||||||
\(693\) | 3.27688 | − | 2.72125i | 0.124478 | − | 0.103372i | ||||
\(694\) | 1.41642i | 0.0537667i | ||||||||
\(695\) | 15.0695 | − | 26.1011i | 0.571617 | − | 0.990069i | ||||
\(696\) | 0.0129871 | + | 0.0224943i | 0.000492274 | + | 0.000852643i | ||||
\(697\) | 9.60637 | − | 5.54624i | 0.363867 | − | 0.210079i | ||||
\(698\) | −5.60911 | + | 9.71526i | −0.212308 | + | 0.367728i | ||||
\(699\) | 24.1954 | 0.915154 | ||||||||
\(700\) | −0.0145925 | − | 0.0853014i | −0.000551545 | − | 0.00322409i | ||||
\(701\) | −2.63718 | −0.0996051 | −0.0498025 | − | 0.998759i | \(-0.515859\pi\) | ||||
−0.0498025 | + | 0.998759i | \(0.515859\pi\) | |||||||
\(702\) | −1.17449 | − | 0.678092i | −0.0443283 | − | 0.0255929i | ||||
\(703\) | −5.57726 | − | 6.17451i | −0.210350 | − | 0.232876i | ||||
\(704\) | −0.804965 | − | 1.39424i | −0.0303383 | − | 0.0525474i | ||||
\(705\) | −2.25274 | + | 3.90187i | −0.0848432 | + | 0.146953i | ||||
\(706\) | 19.3005 | 0.726384 | ||||||||
\(707\) | −10.3578 | + | 28.0123i | −0.389546 | + | 1.05351i | ||||
\(708\) | 5.74862 | 0.216046 | ||||||||
\(709\) | −13.4109 | + | 23.2283i | −0.503656 | + | 0.872359i | 0.496335 | + | 0.868131i | \(0.334679\pi\) |
−0.999991 | + | 0.00422724i | \(0.998654\pi\) | |||||||
\(710\) | 22.4473 | − | 12.9600i | 0.842432 | − | 0.486378i | ||||
\(711\) | −14.3105 | + | 8.26214i | −0.536684 | + | 0.309855i | ||||
\(712\) | 7.92566 | + | 4.57588i | 0.297027 | + | 0.171488i | ||||
\(713\) | −4.70504 | −0.176205 | ||||||||
\(714\) | −5.23911 | − | 1.93721i | −0.196069 | − | 0.0724984i | ||||
\(715\) | − | 4.89809i | − | 0.183178i | ||||||
\(716\) | −9.26318 | − | 5.34810i | −0.346181 | − | 0.199868i | ||||
\(717\) | 0.998888 | + | 1.73012i | 0.0373041 | + | 0.0646127i | ||||
\(718\) | −27.6217 | + | 15.9474i | −1.03083 | + | 0.595153i | ||||
\(719\) | 8.69158 | + | 5.01809i | 0.324141 | + | 0.187143i | 0.653237 | − | 0.757154i | \(-0.273411\pi\) |
−0.329096 | + | 0.944297i | \(0.606744\pi\) | |||||||
\(720\) | − | 2.24337i | − | 0.0836055i | ||||||
\(721\) | 1.87653 | + | 10.9694i | 0.0698858 | + | 0.408522i | ||||
\(722\) | −7.78287 | − | 17.3328i | −0.289648 | − | 0.645061i | ||||
\(723\) | −9.92784 | + | 17.1955i | −0.369220 | + | 0.639508i | ||||
\(724\) | −4.39894 | − | 7.61919i | −0.163485 | − | 0.283165i | ||||
\(725\) | −0.000735771 | 0 | 0.000424798i | −2.73259e−5 | 0 | 1.57766e-5i | ||||
\(726\) | −7.28165 | − | 4.20406i | −0.270247 | − | 0.156027i | ||||
\(727\) | − | 22.0827i | − | 0.819001i | −0.912310 | − | 0.409500i | \(-0.865703\pi\) | ||
0.912310 | − | 0.409500i | \(-0.134297\pi\) | |||||||
\(728\) | −2.29235 | − | 2.76040i | −0.0849600 | − | 0.102307i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 14.0721 | + | 8.12453i | 0.520832 | + | 0.300702i | ||||
\(731\) | −3.94709 | + | 2.27885i | −0.145988 | + | 0.0842864i | ||||
\(732\) | −7.18771 | + | 4.14983i | −0.265665 | + | 0.153382i | ||||
\(733\) | 13.1776 | + | 7.60812i | 0.486728 | + | 0.281012i | 0.723216 | − | 0.690622i | \(-0.242663\pi\) |
−0.236488 | + | 0.971634i | \(0.575996\pi\) | |||||||
\(734\) | 21.9814 | 0.811347 | ||||||||
\(735\) | 15.4364 | + | 2.88460i | 0.569379 | + | 0.106400i | ||||
\(736\) | 5.95209i | 0.219397i | ||||||||
\(737\) | 13.9920 | + | 8.07829i | 0.515402 | + | 0.297568i | ||||
\(738\) | −4.55013 | + | 2.62702i | −0.167493 | + | 0.0967019i | ||||
\(739\) | 3.83756 | + | 6.64685i | 0.141167 | + | 0.244508i | 0.927936 | − | 0.372739i | \(-0.121581\pi\) |
−0.786769 | + | 0.617247i | \(0.788248\pi\) | |||||||
\(740\) | 2.14113 | − | 3.70854i | 0.0787094 | − | 0.136329i | ||||
\(741\) | −1.23821 | − | 5.78034i | −0.0454867 | − | 0.212346i | ||||
\(742\) | −22.5336 | + | 18.7128i | −0.827236 | + | 0.686970i | ||||
\(743\) | 26.1082i | 0.957818i | 0.877865 | + | 0.478909i | \(0.158968\pi\) | ||||
−0.877865 | + | 0.478909i | \(0.841032\pi\) | |||||||
\(744\) | 0.684580 | + | 0.395243i | 0.0250979 | + | 0.0144903i | ||||
\(745\) | 24.3926 | − | 14.0831i | 0.893677 | − | 0.515965i | ||||
\(746\) | −5.02532 | − | 8.70410i | −0.183990 | − | 0.318680i | ||||
\(747\) | −3.62713 | − | 2.09412i | −0.132710 | − | 0.0766199i | ||||
\(748\) | − | 3.39893i | − | 0.124277i | ||||||
\(749\) | −14.9467 | + | 2.55692i | −0.546139 | + | 0.0934279i | ||||
\(750\) | −11.1435 | −0.406902 | ||||||||
\(751\) | 42.2493 | + | 24.3926i | 1.54170 | + | 0.890099i | 0.998732 | + | 0.0503441i | \(0.0160318\pi\) |
0.542965 | + | 0.839755i | \(0.317302\pi\) | |||||||
\(752\) | −1.73929 | + | 1.00418i | −0.0634253 | + | 0.0366186i | ||||
\(753\) | −18.5856 | + | 10.7304i | −0.677296 | + | 0.391037i | ||||
\(754\) | −0.0176129 | + | 0.0305064i | −0.000641423 | + | 0.00111098i | ||||
\(755\) | 21.9560 | 0.799061 | ||||||||
\(756\) | 2.48154 | + | 0.917576i | 0.0902528 | + | 0.0333719i | ||||
\(757\) | −18.5793 | −0.675277 | −0.337639 | − | 0.941276i | \(-0.609628\pi\) | ||||
−0.337639 | + | 0.941276i | \(0.609628\pi\) | |||||||
\(758\) | 6.85821 | − | 11.8788i | 0.249101 | − | 0.431456i | ||||
\(759\) | −4.79122 | − | 8.29864i | −0.173910 | − | 0.301222i | ||||
\(760\) | 7.25657 | − | 6.55466i | 0.263224 | − | 0.237763i | ||||
\(761\) | −25.7859 | − | 14.8875i | −0.934739 | − | 0.539672i | −0.0464319 | − | 0.998921i | \(-0.514785\pi\) |
−0.888307 | + | 0.459250i | \(0.848118\pi\) | |||||||
\(762\) | 10.2678 | 0.371965 | ||||||||
\(763\) | −5.57506 | + | 15.0775i | −0.201831 | + | 0.545842i | ||||
\(764\) | 9.48417 | 0.343125 | ||||||||
\(765\) | 2.36814 | − | 4.10173i | 0.0856201 | − | 0.148298i | ||||
\(766\) | 26.6803 | − | 15.4039i | 0.963998 | − | 0.556565i | ||||
\(767\) | 3.89810 | + | 6.75170i | 0.140752 | + | 0.243790i | ||||
\(768\) | 0.500000 | − | 0.866025i | 0.0180422 | − | 0.0312500i | ||||
\(769\) | 44.3906i | 1.60076i | 0.599490 | + | 0.800382i | \(0.295370\pi\) | ||||
−0.599490 | + | 0.800382i | \(0.704630\pi\) | |||||||
\(770\) | 1.61126 | + | 9.41876i | 0.0580660 | + | 0.339428i | ||||
\(771\) | 26.5516 | 0.956233 | ||||||||
\(772\) | 19.8153 | + | 11.4404i | 0.713168 | + | 0.411748i | ||||
\(773\) | 22.3958 | + | 38.7907i | 0.805522 | + | 1.39521i | 0.915938 | + | 0.401320i | \(0.131448\pi\) |
−0.110416 | + | 0.993885i | \(0.535218\pi\) | |||||||
\(774\) | 1.86957 | − | 1.07939i | 0.0672002 | − | 0.0387981i | ||||
\(775\) | −0.0129281 | + | 0.0223921i | −0.000464391 | + | 0.000804349i | ||||
\(776\) | 2.85365i | 0.102440i | ||||||||
\(777\) | 3.22651 | + | 3.88530i | 0.115750 | + | 0.139384i | ||||
\(778\) | − | 11.6178i | − | 0.416519i | ||||||
\(779\) | −21.7921 | − | 7.04259i | −0.780783 | − | 0.252327i | ||||
\(780\) | 2.63482 | − | 1.52121i | 0.0943416 | − | 0.0544681i | ||||
\(781\) | −16.1091 | + | 9.30057i | −0.576428 | + | 0.332801i | ||||
\(782\) | −6.28311 | + | 10.8827i | −0.224684 | + | 0.389164i | ||||
\(783\) | − | 0.0259741i | − | 0.000928240i | ||||||
\(784\) | 5.31611 | + | 4.55401i | 0.189861 | + | 0.162643i | ||||
\(785\) | 7.25482 | 0.258936 | ||||||||
\(786\) | 4.14571 | − | 7.18058i | 0.147873 | − | 0.256123i | ||||
\(787\) | 13.8714 | + | 24.0259i | 0.494460 | + | 0.856430i | 0.999980 | − | 0.00638497i | \(-0.00203241\pi\) |
−0.505519 | + | 0.862815i | \(0.668699\pi\) | |||||||
\(788\) | 3.36115 | + | 5.82169i | 0.119736 | + | 0.207389i | ||||
\(789\) | −3.96681 | + | 6.87071i | −0.141222 | + | 0.244604i | ||||
\(790\) | − | 37.0701i | − | 1.31889i | ||||||
\(791\) | −17.6485 | − | 21.2520i | −0.627510 | − | 0.755635i | ||||
\(792\) | 1.60993i | 0.0572064i | ||||||||
\(793\) | −9.74787 | − | 5.62793i | −0.346157 | − | 0.199854i | ||||
\(794\) | −3.89120 | − | 6.73975i | −0.138093 | − | 0.239185i | ||||
\(795\) | −12.4179 | − | 21.5085i | −0.440419 | − | 0.762827i | ||||
\(796\) | −9.79141 | − | 5.65307i | −0.347047 | − | 0.200368i | ||||
\(797\) | 5.74674 | 0.203560 | 0.101780 | − | 0.994807i | \(-0.467546\pi\) | ||||
0.101780 | + | 0.994807i | \(0.467546\pi\) | |||||||
\(798\) | 4.28249 | + | 10.7080i | 0.151599 | + | 0.379057i | ||||
\(799\) | −4.24010 | −0.150004 | ||||||||
\(800\) | 0.0283271 | + | 0.0163546i | 0.00100151 | + | 0.000578224i | ||||
\(801\) | −4.57588 | − | 7.92566i | −0.161681 | − | 0.280040i | ||||
\(802\) | 6.80432 | + | 11.7854i | 0.240269 | + | 0.416158i | ||||
\(803\) | −10.0987 | − | 5.83048i | −0.356375 | − | 0.205753i | ||||
\(804\) | 10.0356i | 0.353928i | ||||||||
\(805\) | 12.2521 | − | 33.1354i | 0.431831 | − | 1.16787i | ||||
\(806\) | 1.07204i | 0.0377611i | ||||||||
\(807\) | −2.51233 | + | 4.35148i | −0.0884382 | + | 0.153179i | ||||
\(808\) | −5.64413 | − | 9.77591i | −0.198560 | − | 0.343915i | ||||
\(809\) | −9.02098 | − | 15.6248i | −0.317161 | − | 0.549338i | 0.662734 | − | 0.748855i | \(-0.269396\pi\) |
−0.979894 | + | 0.199517i | \(0.936063\pi\) | |||||||
\(810\) | −1.12169 | + | 1.94282i | −0.0394120 | + | 0.0682636i | ||||
\(811\) | −48.1453 | −1.69061 | −0.845304 | − | 0.534285i | \(-0.820581\pi\) | ||||
−0.845304 | + | 0.534285i | \(0.820581\pi\) | |||||||
\(812\) | 0.0238333 | − | 0.0644560i | 0.000836383 | − | 0.00226196i | ||||
\(813\) | 21.4532i | 0.752397i | ||||||||
\(814\) | −1.53656 | + | 2.66140i | −0.0538563 | + | 0.0932819i | ||||
\(815\) | 38.8879 | − | 22.4520i | 1.36218 | − | 0.786458i | ||||
\(816\) | 1.82838 | − | 1.05562i | 0.0640061 | − | 0.0369539i | ||||
\(817\) | 8.95398 | + | 2.89367i | 0.313260 | + | 0.101237i | ||||
\(818\) | − | 5.15563i | − | 0.180262i | ||||||
\(819\) | 0.605031 | + | 3.53675i | 0.0211415 | + | 0.123584i | ||||
\(820\) | − | 11.7867i | − | 0.411611i | ||||||
\(821\) | 6.57231 | − | 11.3836i | 0.229375 | − | 0.397290i | −0.728248 | − | 0.685314i | \(-0.759665\pi\) |
0.957623 | + | 0.288024i | \(0.0929984\pi\) | |||||||
\(822\) | 2.87726 | − | 1.66119i | 0.100356 | − | 0.0579406i | ||||
\(823\) | −14.4210 | − | 24.9779i | −0.502684 | − | 0.870675i | −0.999995 | − | 0.00310220i | \(-0.999013\pi\) |
0.497311 | − | 0.867572i | \(-0.334321\pi\) | |||||||
\(824\) | −3.64274 | − | 2.10314i | −0.126901 | − | 0.0732662i | ||||
\(825\) | −0.0526596 | −0.00183337 | ||||||||
\(826\) | −9.71684 | − | 11.7008i | −0.338092 | − | 0.407124i | ||||
\(827\) | 25.4069i | 0.883483i | 0.897142 | + | 0.441742i | \(0.145639\pi\) | ||||
−0.897142 | + | 0.441742i | \(0.854361\pi\) | |||||||
\(828\) | 2.97604 | − | 5.15466i | 0.103425 | − | 0.179137i | ||||
\(829\) | 13.9795 | + | 24.2132i | 0.485528 | + | 0.840959i | 0.999862 | − | 0.0166314i | \(-0.00529418\pi\) |
−0.514334 | + | 0.857590i | \(0.671961\pi\) | |||||||
\(830\) | 8.13699 | − | 4.69789i | 0.282439 | − | 0.163066i | ||||
\(831\) | 2.19895 | − | 3.80870i | 0.0762808 | − | 0.132122i | ||||
\(832\) | 1.35618 | 0.0470173 | ||||||||
\(833\) | 4.91258 | + | 13.9382i | 0.170211 | + | 0.482931i | ||||
\(834\) | −13.4347 | −0.465204 | ||||||||
\(835\) | 6.00433 | + | 3.46660i | 0.207788 | + | 0.119967i | ||||
\(836\) | −5.20760 | + | 4.70388i | −0.180109 | + | 0.162687i | ||||
\(837\) | −0.395243 | − | 0.684580i | −0.0136616 | − | 0.0236626i | ||||
\(838\) | 14.9139 | − | 25.8317i | 0.515194 | − | 0.892342i | ||||
\(839\) | −13.1542 | −0.454134 | −0.227067 | − | 0.973879i | \(-0.572914\pi\) | ||||
−0.227067 | + | 0.973879i | \(0.572914\pi\) | |||||||
\(840\) | −4.56619 | + | 3.79195i | −0.157549 | + | 0.130835i | ||||
\(841\) | 28.9993 | 0.999977 | ||||||||
\(842\) | −10.6952 | + | 18.5246i | −0.368580 | + | 0.638400i | ||||
\(843\) | 10.8847 | − | 6.28426i | 0.374888 | − | 0.216441i | ||||
\(844\) | 17.5146 | − | 10.1120i | 0.602876 | − | 0.348071i | ||||
\(845\) | −21.6833 | − | 12.5189i | −0.745928 | − | 0.430662i | ||||
\(846\) | 2.00836 | 0.0690487 | ||||||||
\(847\) | 3.75109 | + | 21.9273i | 0.128889 | + | 0.753430i | ||||
\(848\) | − | 11.0708i | − | 0.380172i | ||||||
\(849\) | −5.83229 | − | 3.36727i | −0.200164 | − | 0.115565i | ||||
\(850\) | 0.0345284 | + | 0.0598049i | 0.00118431 | + | 0.00205129i | ||||
\(851\) | 9.83947 | − | 5.68082i | 0.337293 | − | 0.194736i | ||||
\(852\) | −10.0061 | − | 5.77700i | −0.342802 | − | 0.197917i | ||||
\(853\) | 12.6308i | 0.432470i | 0.976341 | + | 0.216235i | \(0.0693778\pi\) | ||||
−0.976341 | + | 0.216235i | \(0.930622\pi\) | |||||||
\(854\) | 20.5959 | + | 7.61556i | 0.704779 | + | 0.260599i | ||||
\(855\) | −9.56171 | + | 2.04822i | −0.327004 | + | 0.0700475i | ||||
\(856\) | 2.86569 | − | 4.96352i | 0.0979472 | − | 0.169649i | ||||
\(857\) | −2.71289 | − | 4.69886i | −0.0926706 | − | 0.160510i | 0.815963 | − | 0.578103i | \(-0.196207\pi\) |
−0.908634 | + | 0.417593i | \(0.862874\pi\) | |||||||
\(858\) | −1.89085 | + | 1.09168i | −0.0645525 | + | 0.0372694i | ||||
\(859\) | −38.3492 | − | 22.1409i | −1.30846 | − | 0.755438i | −0.326618 | − | 0.945156i | \(-0.605909\pi\) |
−0.981838 | + | 0.189719i | \(0.939242\pi\) | |||||||
\(860\) | 4.84296i | 0.165144i | ||||||||
\(861\) | 13.0381 | + | 4.82098i | 0.444338 | + | 0.164298i | ||||
\(862\) | −0.655623 | −0.0223306 | ||||||||
\(863\) | 20.2370 | + | 11.6838i | 0.688875 | + | 0.397722i | 0.803190 | − | 0.595723i | \(-0.203134\pi\) |
−0.114316 | + | 0.993444i | \(0.536468\pi\) | |||||||
\(864\) | −0.866025 | + | 0.500000i | −0.0294628 | + | 0.0170103i | ||||
\(865\) | 7.50688 | − | 4.33410i | 0.255241 | − | 0.147364i | ||||
\(866\) | 34.9293 | + | 20.1664i | 1.18695 | + | 0.685283i | ||||
\(867\) | −12.5427 | −0.425973 | ||||||||
\(868\) | −0.352657 | − | 2.06148i | −0.0119700 | − | 0.0699712i | ||||
\(869\) | 26.6030i | 0.902443i | ||||||||
\(870\) | 0.0504630 | + | 0.0291348i | 0.00171086 | + | 0.000987763i | ||||
\(871\) | −11.7867 | + | 6.80505i | −0.399377 | + | 0.230580i | ||||
\(872\) | −3.03793 | − | 5.26185i | −0.102877 | − | 0.178189i | ||||
\(873\) | 1.42682 | − | 2.47133i | 0.0482907 | − | 0.0836419i | ||||
\(874\) | 25.3690 | − | 5.43431i | 0.858120 | − | 0.183818i | ||||
\(875\) | 18.8357 | + | 22.6816i | 0.636763 | + | 0.766778i | ||||
\(876\) | − | 7.24315i | − | 0.244723i | ||||||
\(877\) | 39.8576 | + | 23.0118i | 1.34589 | + | 0.777052i | 0.987665 | − | 0.156581i | \(-0.0500473\pi\) |
0.358229 | + | 0.933634i | \(0.383381\pi\) | |||||||
\(878\) | 11.2755 | − | 6.50993i | 0.380531 | − | 0.219699i | ||||
\(879\) | −10.6912 | − | 18.5178i | −0.360607 | − | 0.624589i | ||||
\(880\) | −3.12780 | − | 1.80584i | −0.105438 | − | 0.0608747i | ||||
\(881\) | − | 57.2610i | − | 1.92917i | −0.263770 | − | 0.964585i | \(-0.584966\pi\) | ||
0.263770 | − | 0.964585i | \(-0.415034\pi\) | |||||||
\(882\) | −2.32688 | − | 6.60194i | −0.0783502 | − | 0.222299i | ||||
\(883\) | 2.71356 | 0.0913185 | 0.0456593 | − | 0.998957i | \(-0.485461\pi\) | ||||
0.0456593 | + | 0.998957i | \(0.485461\pi\) | |||||||
\(884\) | 2.47962 | + | 1.43161i | 0.0833986 | + | 0.0481502i | ||||
\(885\) | 11.1685 | − | 6.44814i | 0.375425 | − | 0.216752i | ||||
\(886\) | 30.2598 | − | 17.4705i | 1.01660 | − | 0.586933i | ||||
\(887\) | −13.5966 | + | 23.5500i | −0.456528 | + | 0.790730i | −0.998775 | − | 0.0494893i | \(-0.984241\pi\) |
0.542246 | + | 0.840220i | \(0.317574\pi\) | |||||||
\(888\) | −1.90885 | −0.0640568 | ||||||||
\(889\) | −17.3556 | − | 20.8993i | −0.582090 | − | 0.700941i | ||||
\(890\) | 20.5308 | 0.688194 | ||||||||
\(891\) | 0.804965 | − | 1.39424i | 0.0269674 | − | 0.0467088i | ||||
\(892\) | −8.59386 | − | 14.8850i | −0.287744 | − | 0.498387i | ||||
\(893\) | 5.86800 | + | 6.49638i | 0.196365 | + | 0.217393i | ||||
\(894\) | −10.8732 | − | 6.27765i | −0.363655 | − | 0.209956i | ||||
\(895\) | −23.9955 | −0.802082 | ||||||||
\(896\) | −2.60787 | + | 0.446127i | −0.0871227 | + | 0.0149041i | ||||
\(897\) | 8.07213 | 0.269521 | ||||||||
\(898\) | 6.83318 | − | 11.8354i | 0.228026 | − | 0.394953i | ||||
\(899\) | −0.0177814 | + | 0.0102661i | −0.000593043 | + | 0.000342393i | ||||
\(900\) | −0.0163546 | − | 0.0283271i | −0.000545154 | − | 0.000944235i | ||||
\(901\) | 11.6865 | − | 20.2416i | 0.389333 | − | 0.674345i | ||||
\(902\) | 8.45863i | 0.281642i | ||||||||
\(903\) | −5.35713 | − | 1.98085i | −0.178274 | − | 0.0659187i | ||||
\(904\) | 10.4411 | 0.347267 | ||||||||
\(905\) | −17.0927 | − | 9.86846i | −0.568180 | − | 0.328039i | ||||
\(906\) | −4.89353 | − | 8.47584i | −0.162577 | − | 0.281591i | ||||
\(907\) | −11.3527 | + | 6.55446i | −0.376959 | + | 0.217637i | −0.676494 | − | 0.736448i | \(-0.736502\pi\) |
0.299535 | + | 0.954085i | \(0.403168\pi\) | |||||||
\(908\) | 0.992963 | − | 1.71986i | 0.0329526 | − | 0.0570757i | ||||
\(909\) | 11.2883i | 0.374408i | ||||||||
\(910\) | −7.54991 | − | 2.79166i | −0.250277 | − | 0.0925425i | ||||
\(911\) | 40.0067i | 1.32548i | 0.748850 | + | 0.662740i | \(0.230606\pi\) | ||||
−0.748850 | + | 0.662740i | \(0.769394\pi\) | |||||||
\(912\) | −4.14768 | − | 1.34041i | −0.137344 | − | 0.0443856i | ||||
\(913\) | −5.83942 | + | 3.37139i | −0.193257 | + | 0.111577i | ||||
\(914\) | 25.1227 | − | 14.5046i | 0.830985 | − | 0.479769i | ||||
\(915\) | −9.30960 | + | 16.1247i | −0.307766 | + | 0.533066i | ||||
\(916\) | − | 1.00468i | − | 0.0331955i | ||||||
\(917\) | −21.6229 | + | 3.69903i | −0.714052 | + | 0.122153i | ||||
\(918\) | −2.11123 | −0.0696810 | ||||||||
\(919\) | −13.1802 | + | 22.8288i | −0.434775 | + | 0.753053i | −0.997277 | − | 0.0737431i | \(-0.976506\pi\) |
0.562502 | + | 0.826796i | \(0.309839\pi\) | |||||||
\(920\) | 6.67637 | + | 11.5638i | 0.220113 | + | 0.381247i | ||||
\(921\) | 12.1649 | + | 21.0703i | 0.400849 | + | 0.694290i | ||||
\(922\) | −8.37253 | + | 14.5017i | −0.275735 | + | 0.477586i | ||||
\(923\) | − | 15.6694i | − | 0.515763i | ||||||
\(924\) | 3.27688 | − | 2.72125i | 0.107801 | − | 0.0895226i | ||||
\(925\) | − | 0.0624371i | − | 0.00205292i | ||||||
\(926\) | −12.5156 | − | 7.22589i | −0.411288 | − | 0.237457i | ||||
\(927\) | 2.10314 | + | 3.64274i | 0.0690761 | + | 0.119643i | ||||
\(928\) | 0.0129871 | + | 0.0224943i | 0.000426322 | + | 0.000738411i | ||||
\(929\) | −24.1414 | − | 13.9380i | −0.792053 | − | 0.457292i | 0.0486316 | − | 0.998817i | \(-0.484514\pi\) |
−0.840685 | + | 0.541525i | \(0.817847\pi\) | |||||||
\(930\) | 1.77335 | 0.0581505 | ||||||||
\(931\) | 14.5565 | − | 26.8162i | 0.477069 | − | 0.878866i | ||||
\(932\) | 24.1954 | 0.792546 | ||||||||
\(933\) | 28.1525 | + | 16.2539i | 0.921672 | + | 0.532127i | ||||
\(934\) | 3.17605 | + | 5.50108i | 0.103923 | + | 0.180001i | ||||
\(935\) | −3.81253 | − | 6.60350i | −0.124683 | − | 0.215958i | ||||
\(936\) | −1.17449 | − | 0.678092i | −0.0383894 | − | 0.0221641i | ||||
\(937\) | 12.5537i | 0.410110i | 0.978750 | + | 0.205055i | \(0.0657374\pi\) | ||||
−0.978750 | + | 0.205055i | \(0.934263\pi\) | |||||||
\(938\) | 20.4266 | − | 16.9630i | 0.666951 | − | 0.553863i | ||||
\(939\) | 14.6968i | 0.479613i | ||||||||
\(940\) | −2.25274 | + | 3.90187i | −0.0734764 | + | 0.127265i | ||||
\(941\) | 23.9579 | + | 41.4964i | 0.781006 | + | 1.35274i | 0.931356 | + | 0.364110i | \(0.118627\pi\) |
−0.150350 | + | 0.988633i | \(0.548040\pi\) | |||||||
\(942\) | −1.61695 | − | 2.80063i | −0.0526830 | − | 0.0912496i | ||||
\(943\) | 15.6362 | − | 27.0828i | 0.509186 | − | 0.881936i | ||||
\(944\) | 5.74862 | 0.187102 | ||||||||
\(945\) | 5.85041 | − | 1.00083i | 0.190314 | − | 0.0325570i | ||||
\(946\) | − | 3.47550i | − | 0.112998i | ||||||
\(947\) | −21.0298 | + | 36.4247i | −0.683378 | + | 1.18365i | 0.290566 | + | 0.956855i | \(0.406157\pi\) |
−0.973944 | + | 0.226790i | \(0.927177\pi\) | |||||||
\(948\) | −14.3105 | + | 8.26214i | −0.464782 | + | 0.268342i | ||||
\(949\) | 8.50701 | − | 4.91152i | 0.276149 | − | 0.159435i | ||||
\(950\) | 0.0438440 | − | 0.135668i | 0.00142249 | − | 0.00440164i | ||||
\(951\) | 10.6892i | 0.346620i | ||||||||
\(952\) | −5.23911 | − | 1.93721i | −0.169800 | − | 0.0627855i | ||||
\(953\) | − | 13.0491i | − | 0.422702i | −0.977410 | − | 0.211351i | \(-0.932214\pi\) | ||
0.977410 | − | 0.211351i | \(-0.0677863\pi\) | |||||||
\(954\) | −5.53539 | + | 9.58758i | −0.179215 | + | 0.310409i | ||||
\(955\) | 18.4260 | − | 10.6383i | 0.596251 | − | 0.344246i | ||||
\(956\) | 0.998888 | + | 1.73012i | 0.0323063 | + | 0.0559562i | ||||
\(957\) | −0.0362142 | − | 0.0209083i | −0.00117064 | − | 0.000675869i | ||||
\(958\) | 15.9549 | 0.515479 | ||||||||
\(959\) | −8.24463 | − | 3.04853i | −0.266233 | − | 0.0984423i | ||||
\(960\) | − | 2.24337i | − | 0.0724045i | ||||||
\(961\) | 15.1876 | − | 26.3056i | 0.489922 | − | 0.848569i | ||||
\(962\) | −1.29438 | − | 2.24193i | −0.0417324 | − | 0.0722826i | ||||
\(963\) | −4.96352 | + | 2.86569i | −0.159947 | + | 0.0923455i | ||||
\(964\) | −9.92784 | + | 17.1955i | −0.319754 | + | 0.553831i | ||||
\(965\) | 51.3300 | 1.65237 | ||||||||
\(966\) | −15.5223 | + | 2.65539i | −0.499420 | + | 0.0854358i | ||||
\(967\) | −43.9013 | −1.41177 | −0.705885 | − | 0.708326i | \(-0.749451\pi\) | ||||
−0.705885 | + | 0.708326i | \(0.749451\pi\) | |||||||
\(968\) | −7.28165 | − | 4.20406i | −0.234041 | − | 0.135124i | ||||
\(969\) | −6.16858 | − | 6.82915i | −0.198163 | − | 0.219384i | ||||
\(970\) | 3.20089 | + | 5.54411i | 0.102774 | + | 0.178011i | ||||
\(971\) | −27.6732 | + | 47.9314i | −0.888076 | + | 1.53819i | −0.0459294 | + | 0.998945i | \(0.514625\pi\) |
−0.842147 | + | 0.539248i | \(0.818708\pi\) | |||||||
\(972\) | 1.00000 | 0.0320750 | ||||||||
\(973\) | 22.7085 | + | 27.3451i | 0.728000 | + | 0.876644i | ||||
\(974\) | −0.679561 | −0.0217746 | ||||||||
\(975\) | 0.0221799 | − | 0.0384167i | 0.000710325 | − | 0.00123032i | ||||
\(976\) | −7.18771 | + | 4.14983i | −0.230073 | + | 0.132833i | ||||
\(977\) | −18.4886 | + | 10.6744i | −0.591503 | + | 0.341505i | −0.765692 | − | 0.643208i | \(-0.777603\pi\) |
0.174188 | + | 0.984712i | \(0.444270\pi\) | |||||||
\(978\) | −17.3346 | − | 10.0081i | −0.554299 | − | 0.320025i | ||||
\(979\) | −14.7337 | −0.470891 | ||||||||
\(980\) | 15.4364 | + | 2.88460i | 0.493097 | + | 0.0921450i | ||||
\(981\) | 6.07586i | 0.193987i | ||||||||
\(982\) | −20.3588 | − | 11.7541i | −0.649675 | − | 0.375090i | ||||
\(983\) | −20.9250 | − | 36.2431i | −0.667404 | − | 1.15598i | −0.978628 | − | 0.205640i | \(-0.934072\pi\) |
0.311224 | − | 0.950337i | \(-0.399261\pi\) | |||||||
\(984\) | −4.55013 | + | 2.62702i | −0.145053 | + | 0.0837463i | ||||
\(985\) | 13.0602 | + | 7.54031i | 0.416132 | + | 0.240254i | ||||
\(986\) | 0.0548374i | 0.00174638i | ||||||||
\(987\) | −3.39471 | − | 4.08784i | −0.108055 | − | 0.130117i | ||||
\(988\) | −1.23821 | − | 5.78034i | −0.0393927 | − | 0.183897i | ||||
\(989\) | −6.42465 | + | 11.1278i | −0.204292 | + | 0.353844i | ||||
\(990\) | 1.80584 | + | 3.12780i | 0.0573932 | + | 0.0994079i | ||||
\(991\) | 37.0696 | − | 21.4021i | 1.17755 | − | 0.679861i | 0.222107 | − | 0.975022i | \(-0.428707\pi\) |
0.955448 | + | 0.295161i | \(0.0953732\pi\) | |||||||
\(992\) | 0.684580 | + | 0.395243i | 0.0217354 | + | 0.0125490i | ||||
\(993\) | 15.7116i | 0.498593i | ||||||||
\(994\) | 5.15456 | + | 30.1313i | 0.163493 | + | 0.955707i | ||||
\(995\) | −25.3639 | −0.804089 | ||||||||
\(996\) | −3.62713 | − | 2.09412i | −0.114930 | − | 0.0663548i | ||||
\(997\) | −17.5456 | + | 10.1300i | −0.555675 | + | 0.320819i | −0.751408 | − | 0.659838i | \(-0.770625\pi\) |
0.195733 | + | 0.980657i | \(0.437292\pi\) | |||||||
\(998\) | −31.0230 | + | 17.9111i | −0.982016 | + | 0.566967i | ||||
\(999\) | 1.65311 | + | 0.954425i | 0.0523022 | + | 0.0301967i |
(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 | 798.2.be.b.607.6 | yes | 28 | |
7.3 | odd | 6 | 798.2.be.a.493.13 | ✓ | 28 | ||
19.18 | odd | 2 | 798.2.be.a.607.13 | yes | 28 | ||
133.94 | even | 6 | inner | 798.2.be.b.493.6 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
798.2.be.a.493.13 | ✓ | 28 | 7.3 | odd | 6 | ||
798.2.be.a.607.13 | yes | 28 | 19.18 | odd | 2 | ||
798.2.be.b.493.6 | yes | 28 | 133.94 | even | 6 | inner | |
798.2.be.b.607.6 | yes | 28 | 1.1 | even | 1 | trivial |