Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(41,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.p (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 101.2 | ||
Character | \(\chi\) | \(=\) | 165.101 |
Dual form | 165.2.p.b.116.2 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.664086 | + | 2.04385i | −0.469580 | + | 1.44522i | 0.383551 | + | 0.923520i | \(0.374701\pi\) |
−0.853130 | + | 0.521698i | \(0.825299\pi\) | |||||||
\(3\) | 1.72041 | + | 0.200478i | 0.993279 | + | 0.115746i | ||||
\(4\) | −2.11826 | − | 1.53901i | −1.05913 | − | 0.769504i | ||||
\(5\) | 0.951057 | − | 0.309017i | 0.425325 | − | 0.138197i | ||||
\(6\) | −1.55225 | + | 3.38312i | −0.633702 | + | 1.38115i | ||||
\(7\) | −1.16392 | + | 1.60200i | −0.439922 | + | 0.605501i | −0.970195 | − | 0.242326i | \(-0.922089\pi\) |
0.530273 | + | 0.847827i | \(0.322089\pi\) | |||||||
\(8\) | 1.07501 | − | 0.781038i | 0.380072 | − | 0.276139i | ||||
\(9\) | 2.91962 | + | 0.689809i | 0.973206 | + | 0.229936i | ||||
\(10\) | 2.14903i | 0.679582i | ||||||||
\(11\) | −3.11285 | + | 1.14463i | −0.938559 | + | 0.345118i | ||||
\(12\) | −3.33574 | − | 3.07239i | −0.962946 | − | 0.886923i | ||||
\(13\) | 5.55519 | + | 1.80499i | 1.54073 | + | 0.500614i | 0.951578 | − | 0.307406i | \(-0.0994609\pi\) |
0.589155 | + | 0.808020i | \(0.299461\pi\) | |||||||
\(14\) | −2.50130 | − | 3.44275i | −0.668502 | − | 0.920114i | ||||
\(15\) | 1.69816 | − | 0.340970i | 0.438462 | − | 0.0880380i | ||||
\(16\) | −0.735784 | − | 2.26451i | −0.183946 | − | 0.566128i | ||||
\(17\) | −0.00961787 | − | 0.0296008i | −0.00233268 | − | 0.00717924i | 0.949883 | − | 0.312604i | \(-0.101201\pi\) |
−0.952216 | + | 0.305425i | \(0.901201\pi\) | |||||||
\(18\) | −3.34874 | + | 5.50916i | −0.789306 | + | 1.29852i | ||||
\(19\) | −3.10262 | − | 4.27039i | −0.711790 | − | 0.979695i | −0.999757 | − | 0.0220545i | \(-0.992979\pi\) |
0.287967 | − | 0.957640i | \(-0.407021\pi\) | |||||||
\(20\) | −2.49017 | − | 0.809105i | −0.556818 | − | 0.180921i | ||||
\(21\) | −2.32359 | + | 2.52276i | −0.507049 | + | 0.550512i | ||||
\(22\) | −0.272240 | − | 7.12232i | −0.0580417 | − | 1.51848i | ||||
\(23\) | − | 8.23244i | − | 1.71658i | −0.513163 | − | 0.858291i | \(-0.671526\pi\) | ||
0.513163 | − | 0.858291i | \(-0.328474\pi\) | |||||||
\(24\) | 2.00603 | − | 1.12819i | 0.409480 | − | 0.230291i | ||||
\(25\) | 0.809017 | − | 0.587785i | 0.161803 | − | 0.117557i | ||||
\(26\) | −7.37825 | + | 10.1553i | −1.44699 | + | 1.99162i | ||||
\(27\) | 4.88464 | + | 1.77207i | 0.940050 | + | 0.341036i | ||||
\(28\) | 4.93099 | − | 1.60218i | 0.931870 | − | 0.302783i | ||||
\(29\) | −0.972361 | − | 0.706461i | −0.180563 | − | 0.131187i | 0.493832 | − | 0.869557i | \(-0.335596\pi\) |
−0.674395 | + | 0.738370i | \(0.735596\pi\) | |||||||
\(30\) | −0.430833 | + | 3.69721i | −0.0786590 | + | 0.675014i | ||||
\(31\) | 0.153421 | − | 0.472180i | 0.0275552 | − | 0.0848061i | −0.936333 | − | 0.351113i | \(-0.885803\pi\) |
0.963888 | + | 0.266307i | \(0.0858034\pi\) | |||||||
\(32\) | 7.77450 | 1.37435 | ||||||||
\(33\) | −5.58485 | + | 1.34517i | −0.972197 | + | 0.234163i | ||||
\(34\) | 0.0668865 | 0.0114709 | ||||||||
\(35\) | −0.611911 | + | 1.88327i | −0.103432 | + | 0.318330i | ||||
\(36\) | −5.12290 | − | 5.95451i | −0.853816 | − | 0.992419i | ||||
\(37\) | 2.98318 | + | 2.16741i | 0.490432 | + | 0.356320i | 0.805350 | − | 0.592799i | \(-0.201977\pi\) |
−0.314918 | + | 0.949119i | \(0.601977\pi\) | |||||||
\(38\) | 10.7884 | − | 3.50537i | 1.75011 | − | 0.568647i | ||||
\(39\) | 9.19534 | + | 4.21902i | 1.47243 | + | 0.675584i | ||||
\(40\) | 0.781038 | − | 1.07501i | 0.123493 | − | 0.169973i | ||||
\(41\) | 2.54451 | − | 1.84869i | 0.397385 | − | 0.288717i | −0.371090 | − | 0.928597i | \(-0.621016\pi\) |
0.768475 | + | 0.639880i | \(0.221016\pi\) | |||||||
\(42\) | −3.61307 | − | 6.42440i | −0.557509 | − | 0.991306i | ||||
\(43\) | − | 2.79044i | − | 0.425538i | −0.977103 | − | 0.212769i | \(-0.931752\pi\) | ||
0.977103 | − | 0.212769i | \(-0.0682481\pi\) | |||||||
\(44\) | 8.35542 | + | 2.36608i | 1.25963 | + | 0.356700i | ||||
\(45\) | 2.98988 | − | 0.246164i | 0.445706 | − | 0.0366959i | ||||
\(46\) | 16.8258 | + | 5.46705i | 2.48083 | + | 0.806072i | ||||
\(47\) | 0.700301 | + | 0.963882i | 0.102149 | + | 0.140597i | 0.857032 | − | 0.515264i | \(-0.172306\pi\) |
−0.754882 | + | 0.655860i | \(0.772306\pi\) | |||||||
\(48\) | −0.811865 | − | 4.04340i | −0.117183 | − | 0.583614i | ||||
\(49\) | 0.951421 | + | 2.92817i | 0.135917 | + | 0.418311i | ||||
\(50\) | 0.664086 | + | 2.04385i | 0.0939159 | + | 0.289044i | ||||
\(51\) | −0.0106124 | − | 0.0528536i | −0.00148603 | − | 0.00740099i | ||||
\(52\) | −8.98946 | − | 12.3729i | −1.24661 | − | 1.71582i | ||||
\(53\) | −9.74834 | − | 3.16743i | −1.33904 | − | 0.435080i | −0.450047 | − | 0.893005i | \(-0.648593\pi\) |
−0.888991 | + | 0.457925i | \(0.848593\pi\) | |||||||
\(54\) | −6.86567 | + | 8.80665i | −0.934299 | + | 1.19843i | ||||
\(55\) | −2.60679 | + | 2.05053i | −0.351499 | + | 0.276493i | ||||
\(56\) | 2.63123i | 0.351613i | ||||||||
\(57\) | −4.48166 | − | 7.96883i | −0.593610 | − | 1.05550i | ||||
\(58\) | 2.08963 | − | 1.51820i | 0.274382 | − | 0.199350i | ||||
\(59\) | 1.78927 | − | 2.46272i | 0.232943 | − | 0.320619i | −0.676503 | − | 0.736439i | \(-0.736506\pi\) |
0.909447 | + | 0.415821i | \(0.136506\pi\) | |||||||
\(60\) | −4.12190 | − | 1.89122i | −0.532135 | − | 0.244155i | ||||
\(61\) | −8.33893 | + | 2.70948i | −1.06769 | + | 0.346914i | −0.789588 | − | 0.613638i | \(-0.789706\pi\) |
−0.278103 | + | 0.960551i | \(0.589706\pi\) | |||||||
\(62\) | 0.863180 | + | 0.627137i | 0.109624 | + | 0.0796464i | ||||
\(63\) | −4.50329 | + | 3.87435i | −0.567361 | + | 0.488123i | ||||
\(64\) | −3.69137 | + | 11.3609i | −0.461421 | + | 1.42011i | ||||
\(65\) | 5.84107 | 0.724496 | ||||||||
\(66\) | 0.959505 | − | 12.3079i | 0.118107 | − | 1.51499i | ||||
\(67\) | 6.68562 | 0.816779 | 0.408389 | − | 0.912808i | \(-0.366091\pi\) | ||||
0.408389 | + | 0.912808i | \(0.366091\pi\) | |||||||
\(68\) | −0.0251826 | + | 0.0775042i | −0.00305384 | + | 0.00939877i | ||||
\(69\) | 1.65042 | − | 14.1632i | 0.198688 | − | 1.70504i | ||||
\(70\) | −3.44275 | − | 2.50130i | −0.411487 | − | 0.298963i | ||||
\(71\) | −0.561251 | + | 0.182361i | −0.0666082 | + | 0.0216423i | −0.342132 | − | 0.939652i | \(-0.611149\pi\) |
0.275523 | + | 0.961294i | \(0.411149\pi\) | |||||||
\(72\) | 3.67737 | − | 1.53878i | 0.433383 | − | 0.181347i | ||||
\(73\) | −2.63362 | + | 3.62486i | −0.308242 | + | 0.424258i | −0.934832 | − | 0.355091i | \(-0.884450\pi\) |
0.626590 | + | 0.779349i | \(0.284450\pi\) | |||||||
\(74\) | −6.41094 | + | 4.65782i | −0.745257 | + | 0.541461i | ||||
\(75\) | 1.50968 | − | 0.849041i | 0.174323 | − | 0.0980388i | ||||
\(76\) | 13.8208i | 1.58535i | ||||||||
\(77\) | 1.78943 | − | 6.31905i | 0.203924 | − | 0.720123i | ||||
\(78\) | −14.7295 | + | 15.9921i | −1.66779 | + | 1.81075i | ||||
\(79\) | −16.4103 | − | 5.33204i | −1.84631 | − | 0.599902i | −0.997457 | − | 0.0712699i | \(-0.977295\pi\) |
−0.848851 | − | 0.528632i | \(-0.822705\pi\) | |||||||
\(80\) | −1.39955 | − | 1.92631i | −0.156474 | − | 0.215368i | ||||
\(81\) | 8.04833 | + | 4.02796i | 0.894259 | + | 0.447551i | ||||
\(82\) | 2.08867 | + | 6.42827i | 0.230655 | + | 0.709884i | ||||
\(83\) | 3.17214 | + | 9.76284i | 0.348188 | + | 1.07161i | 0.959855 | + | 0.280496i | \(0.0904991\pi\) |
−0.611667 | + | 0.791115i | \(0.709501\pi\) | |||||||
\(84\) | 8.80453 | − | 1.76784i | 0.960653 | − | 0.192888i | ||||
\(85\) | −0.0182943 | − | 0.0251799i | −0.00198429 | − | 0.00273115i | ||||
\(86\) | 5.70322 | + | 1.85309i | 0.614994 | + | 0.199824i | ||||
\(87\) | −1.53123 | − | 1.41034i | −0.164165 | − | 0.151204i | ||||
\(88\) | −2.45234 | + | 3.66173i | −0.261420 | + | 0.390342i | ||||
\(89\) | − | 1.78657i | − | 0.189376i | −0.995507 | − | 0.0946882i | \(-0.969815\pi\) | ||
0.995507 | − | 0.0946882i | \(-0.0301854\pi\) | |||||||
\(90\) | −1.48242 | + | 6.27434i | −0.156261 | + | 0.661373i | ||||
\(91\) | −9.35742 | + | 6.79857i | −0.980925 | + | 0.712683i | ||||
\(92\) | −12.6698 | + | 17.4385i | −1.32092 | + | 1.81809i | ||||
\(93\) | 0.358608 | − | 0.781586i | 0.0371860 | − | 0.0810467i | ||||
\(94\) | −2.43509 | + | 0.791207i | −0.251160 | + | 0.0816068i | ||||
\(95\) | −4.27039 | − | 3.10262i | −0.438133 | − | 0.318322i | ||||
\(96\) | 13.3753 | + | 1.55862i | 1.36511 | + | 0.159076i | ||||
\(97\) | −5.65837 | + | 17.4147i | −0.574521 | + | 1.76819i | 0.0632844 | + | 0.997996i | \(0.479842\pi\) |
−0.637805 | + | 0.770198i | \(0.720158\pi\) | |||||||
\(98\) | −6.61656 | −0.668374 | ||||||||
\(99\) | −9.87790 | + | 1.19460i | −0.992766 | + | 0.120062i | ||||
\(100\) | −2.61832 | −0.261832 | ||||||||
\(101\) | 1.22660 | − | 3.77507i | 0.122051 | − | 0.375634i | −0.871301 | − | 0.490748i | \(-0.836723\pi\) |
0.993352 | + | 0.115114i | \(0.0367235\pi\) | |||||||
\(102\) | 0.115072 | + | 0.0134093i | 0.0113938 | + | 0.00132772i | ||||
\(103\) | −12.5457 | − | 9.11498i | −1.23616 | − | 0.898126i | −0.238828 | − | 0.971062i | \(-0.576763\pi\) |
−0.997337 | + | 0.0729362i | \(0.976763\pi\) | |||||||
\(104\) | 7.38163 | − | 2.39844i | 0.723829 | − | 0.235186i | ||||
\(105\) | −1.43029 | + | 3.11732i | −0.139582 | + | 0.304219i | ||||
\(106\) | 12.9475 | − | 17.8207i | 1.25757 | − | 1.73090i | ||||
\(107\) | 3.78361 | − | 2.74896i | 0.365776 | − | 0.265752i | −0.389681 | − | 0.920950i | \(-0.627415\pi\) |
0.755457 | + | 0.655198i | \(0.227415\pi\) | |||||||
\(108\) | −7.61973 | − | 11.2712i | −0.733209 | − | 1.08457i | ||||
\(109\) | − | 8.55279i | − | 0.819208i | −0.912263 | − | 0.409604i | \(-0.865667\pi\) | ||
0.912263 | − | 0.409604i | \(-0.134333\pi\) | |||||||
\(110\) | −2.45983 | − | 6.68960i | −0.234536 | − | 0.637828i | ||||
\(111\) | 4.69778 | + | 4.32689i | 0.445893 | + | 0.410691i | ||||
\(112\) | 4.48415 | + | 1.45699i | 0.423713 | + | 0.137673i | ||||
\(113\) | 6.87503 | + | 9.46267i | 0.646748 | + | 0.890173i | 0.998953 | − | 0.0457503i | \(-0.0145679\pi\) |
−0.352205 | + | 0.935923i | \(0.614568\pi\) | |||||||
\(114\) | 19.2633 | − | 3.86783i | 1.80417 | − | 0.362256i | ||||
\(115\) | −2.54396 | − | 7.82951i | −0.237226 | − | 0.730106i | ||||
\(116\) | 0.972466 | + | 2.99294i | 0.0902912 | + | 0.277888i | ||||
\(117\) | 14.9739 | + | 9.10190i | 1.38434 | + | 0.841471i | ||||
\(118\) | 3.84519 | + | 5.29245i | 0.353979 | + | 0.487210i | ||||
\(119\) | 0.0586150 | + | 0.0190452i | 0.00537323 | + | 0.00174587i | ||||
\(120\) | 1.55922 | − | 1.69287i | 0.142337 | − | 0.154537i | ||||
\(121\) | 8.37966 | − | 7.12610i | 0.761788 | − | 0.647827i | ||||
\(122\) | − | 18.8428i | − | 1.70595i | ||||||
\(123\) | 4.74821 | − | 2.67039i | 0.428132 | − | 0.240781i | ||||
\(124\) | −1.05168 | + | 0.764087i | −0.0944432 | + | 0.0686170i | ||||
\(125\) | 0.587785 | − | 0.809017i | 0.0525731 | − | 0.0723607i | ||||
\(126\) | −4.92801 | − | 11.7769i | −0.439022 | − | 1.04917i | ||||
\(127\) | 14.7022 | − | 4.77705i | 1.30461 | − | 0.423894i | 0.427429 | − | 0.904049i | \(-0.359420\pi\) |
0.877184 | + | 0.480155i | \(0.159420\pi\) | |||||||
\(128\) | −8.18906 | − | 5.94970i | −0.723817 | − | 0.525884i | ||||
\(129\) | 0.559422 | − | 4.80069i | 0.0492543 | − | 0.422678i | ||||
\(130\) | −3.87898 | + | 11.9383i | −0.340209 | + | 1.04705i | ||||
\(131\) | −11.6784 | −1.02035 | −0.510175 | − | 0.860070i | \(-0.670420\pi\) | ||||
−0.510175 | + | 0.860070i | \(0.670420\pi\) | |||||||
\(132\) | 13.9004 | + | 5.74571i | 1.20987 | + | 0.500100i | ||||
\(133\) | 10.4524 | 0.906338 | ||||||||
\(134\) | −4.43983 | + | 13.6644i | −0.383543 | + | 1.18042i | ||||
\(135\) | 5.19317 | + | 0.175904i | 0.446957 | + | 0.0151394i | ||||
\(136\) | −0.0334586 | − | 0.0243091i | −0.00286905 | − | 0.00208449i | ||||
\(137\) | −3.41003 | + | 1.10798i | −0.291338 | + | 0.0946615i | −0.451040 | − | 0.892504i | \(-0.648947\pi\) |
0.159702 | + | 0.987165i | \(0.448947\pi\) | |||||||
\(138\) | 27.8513 | + | 12.7788i | 2.37086 | + | 1.08780i | ||||
\(139\) | 2.96853 | − | 4.08583i | 0.251787 | − | 0.346555i | −0.664349 | − | 0.747422i | \(-0.731291\pi\) |
0.916136 | + | 0.400867i | \(0.131291\pi\) | |||||||
\(140\) | 4.19455 | − | 3.04752i | 0.354505 | − | 0.257563i | ||||
\(141\) | 1.01157 | + | 1.79867i | 0.0851893 | + | 0.151475i | ||||
\(142\) | − | 1.26821i | − | 0.106426i | ||||||
\(143\) | −19.3585 | + | 0.739950i | −1.61884 | + | 0.0618777i | ||||
\(144\) | −0.586128 | − | 7.11906i | −0.0488440 | − | 0.593255i | ||||
\(145\) | −1.14308 | − | 0.371409i | −0.0949275 | − | 0.0308438i | ||||
\(146\) | −5.65972 | − | 7.78993i | −0.468401 | − | 0.644699i | ||||
\(147\) | 1.04980 | + | 5.22840i | 0.0865860 | + | 0.431231i | ||||
\(148\) | −2.98351 | − | 9.18229i | −0.245243 | − | 0.754779i | ||||
\(149\) | 0.529308 | + | 1.62904i | 0.0433626 | + | 0.133456i | 0.970394 | − | 0.241527i | \(-0.0776483\pi\) |
−0.927031 | + | 0.374984i | \(0.877648\pi\) | |||||||
\(150\) | 0.732753 | + | 3.64939i | 0.0598290 | + | 0.297971i | ||||
\(151\) | −2.41375 | − | 3.32225i | −0.196429 | − | 0.270361i | 0.699429 | − | 0.714702i | \(-0.253438\pi\) |
−0.895858 | + | 0.444341i | \(0.853438\pi\) | |||||||
\(152\) | −6.67067 | − | 2.16743i | −0.541063 | − | 0.175802i | ||||
\(153\) | −0.00766163 | − | 0.0930574i | −0.000619406 | − | 0.00752325i | ||||
\(154\) | 11.7268 | + | 7.85370i | 0.944976 | + | 0.632870i | ||||
\(155\) | − | 0.496480i | − | 0.0398782i | ||||||
\(156\) | −12.9851 | − | 23.0887i | −1.03964 | − | 1.84858i | ||||
\(157\) | −15.6147 | + | 11.3447i | −1.24619 | + | 0.905408i | −0.997994 | − | 0.0633033i | \(-0.979836\pi\) |
−0.248192 | + | 0.968711i | \(0.579836\pi\) | |||||||
\(158\) | 21.7958 | − | 29.9993i | 1.73398 | − | 2.38662i | ||||
\(159\) | −16.1361 | − | 7.40361i | −1.27968 | − | 0.587144i | ||||
\(160\) | 7.39399 | − | 2.40245i | 0.584546 | − | 0.189931i | ||||
\(161\) | 13.1884 | + | 9.58193i | 1.03939 | + | 0.755162i | ||||
\(162\) | −13.5773 | + | 13.7746i | −1.06673 | + | 1.08224i | ||||
\(163\) | −5.84374 | + | 17.9852i | −0.457717 | + | 1.40871i | 0.410198 | + | 0.911997i | \(0.365460\pi\) |
−0.867915 | + | 0.496713i | \(0.834540\pi\) | |||||||
\(164\) | −8.23509 | −0.643052 | ||||||||
\(165\) | −4.89583 | + | 3.00514i | −0.381140 | + | 0.233950i | ||||
\(166\) | −22.0603 | −1.71221 | ||||||||
\(167\) | −6.43029 | + | 19.7904i | −0.497591 | + | 1.53143i | 0.315289 | + | 0.948996i | \(0.397899\pi\) |
−0.812880 | + | 0.582432i | \(0.802101\pi\) | |||||||
\(168\) | −0.527505 | + | 4.52680i | −0.0406979 | + | 0.349250i | ||||
\(169\) | 17.0849 | + | 12.4129i | 1.31423 | + | 0.954841i | ||||
\(170\) | 0.0636129 | − | 0.0206691i | 0.00487888 | − | 0.00158525i | ||||
\(171\) | −6.11271 | − | 14.6081i | −0.467451 | − | 1.11711i | ||||
\(172\) | −4.29451 | + | 5.91088i | −0.327453 | + | 0.450700i | ||||
\(173\) | 14.2850 | − | 10.3787i | 1.08607 | − | 0.789075i | 0.107338 | − | 0.994223i | \(-0.465767\pi\) |
0.978731 | + | 0.205147i | \(0.0657674\pi\) | |||||||
\(174\) | 3.89938 | − | 2.19301i | 0.295612 | − | 0.166252i | ||||
\(175\) | 1.98019i | 0.149688i | ||||||||
\(176\) | 4.88241 | + | 6.20689i | 0.368025 | + | 0.467862i | ||||
\(177\) | 3.57200 | − | 3.87818i | 0.268488 | − | 0.291502i | ||||
\(178\) | 3.65148 | + | 1.18644i | 0.273690 | + | 0.0889273i | ||||
\(179\) | 8.36264 | + | 11.5102i | 0.625053 | + | 0.860311i | 0.997709 | − | 0.0676583i | \(-0.0215528\pi\) |
−0.372656 | + | 0.927970i | \(0.621553\pi\) | |||||||
\(180\) | −6.71221 | − | 4.08002i | −0.500299 | − | 0.304106i | ||||
\(181\) | −1.33134 | − | 4.09745i | −0.0989578 | − | 0.304561i | 0.889307 | − | 0.457311i | \(-0.151187\pi\) |
−0.988265 | + | 0.152750i | \(0.951187\pi\) | |||||||
\(182\) | −7.68109 | − | 23.6400i | −0.569360 | − | 1.75231i | ||||
\(183\) | −14.8896 | + | 2.98965i | −1.10067 | + | 0.221001i | ||||
\(184\) | −6.42985 | − | 8.84992i | −0.474015 | − | 0.652425i | ||||
\(185\) | 3.50694 | + | 1.13947i | 0.257835 | + | 0.0837758i | ||||
\(186\) | 1.35930 | + | 1.25198i | 0.0996684 | + | 0.0917997i | ||||
\(187\) | 0.0638208 | + | 0.0811339i | 0.00466704 | + | 0.00593310i | ||||
\(188\) | − | 3.11952i | − | 0.227515i | ||||||
\(189\) | −8.52422 | + | 5.76266i | −0.620046 | + | 0.419172i | ||||
\(190\) | 9.17719 | − | 6.66762i | 0.665783 | − | 0.483720i | ||||
\(191\) | −8.93739 | + | 12.3013i | −0.646687 | + | 0.890088i | −0.998950 | − | 0.0458131i | \(-0.985412\pi\) |
0.352263 | + | 0.935901i | \(0.385412\pi\) | |||||||
\(192\) | −8.62827 | + | 18.8053i | −0.622691 | + | 1.35715i | ||||
\(193\) | 2.69578 | − | 0.875912i | 0.194047 | − | 0.0630495i | −0.210381 | − | 0.977619i | \(-0.567471\pi\) |
0.404428 | + | 0.914570i | \(0.367471\pi\) | |||||||
\(194\) | −31.8353 | − | 23.1297i | −2.28564 | − | 1.66062i | ||||
\(195\) | 10.0490 | + | 1.17101i | 0.719627 | + | 0.0838576i | ||||
\(196\) | 2.49112 | − | 7.66689i | 0.177937 | − | 0.547635i | ||||
\(197\) | −24.7092 | −1.76046 | −0.880229 | − | 0.474549i | \(-0.842611\pi\) | ||||
−0.880229 | + | 0.474549i | \(0.842611\pi\) | |||||||
\(198\) | 4.11820 | − | 20.9822i | 0.292668 | − | 1.49114i | ||||
\(199\) | 11.4443 | 0.811262 | 0.405631 | − | 0.914037i | \(-0.367052\pi\) | ||||
0.405631 | + | 0.914037i | \(0.367052\pi\) | |||||||
\(200\) | 0.410616 | − | 1.26375i | 0.0290349 | − | 0.0893603i | ||||
\(201\) | 11.5020 | + | 1.34032i | 0.811289 | + | 0.0945390i | ||||
\(202\) | 6.90111 | + | 5.01395i | 0.485560 | + | 0.352780i | ||||
\(203\) | 2.26351 | − | 0.735458i | 0.158867 | − | 0.0516190i | ||||
\(204\) | −0.0588624 | + | 0.128290i | −0.00412119 | + | 0.00898213i | ||||
\(205\) | 1.84869 | − | 2.54451i | 0.129118 | − | 0.177716i | ||||
\(206\) | 26.9610 | − | 19.5883i | 1.87846 | − | 1.36478i | ||||
\(207\) | 5.67881 | − | 24.0356i | 0.394705 | − | 1.67059i | ||||
\(208\) | − | 13.9079i | − | 0.964338i | ||||||
\(209\) | 14.5460 | + | 9.74174i | 1.00617 | + | 0.673851i | ||||
\(210\) | −5.42148 | − | 4.99346i | −0.374118 | − | 0.344582i | ||||
\(211\) | −17.4201 | − | 5.66013i | −1.19925 | − | 0.389660i | −0.359765 | − | 0.933043i | \(-0.617143\pi\) |
−0.839485 | + | 0.543383i | \(0.817143\pi\) | |||||||
\(212\) | 15.7749 | + | 21.7122i | 1.08342 | + | 1.49120i | ||||
\(213\) | −1.00214 | + | 0.201218i | −0.0686655 | + | 0.0137872i | ||||
\(214\) | 3.10580 | + | 9.55867i | 0.212308 | + | 0.653417i | ||||
\(215\) | −0.862292 | − | 2.65386i | −0.0588079 | − | 0.180992i | ||||
\(216\) | 6.63508 | − | 1.91010i | 0.451460 | − | 0.129966i | ||||
\(217\) | 0.577865 | + | 0.795363i | 0.0392280 | + | 0.0539927i | ||||
\(218\) | 17.4806 | + | 5.67979i | 1.18393 | + | 0.384684i | ||||
\(219\) | −5.25761 | + | 5.70827i | −0.355276 | + | 0.385729i | ||||
\(220\) | 8.67764 | − | 0.331690i | 0.585046 | − | 0.0223625i | ||||
\(221\) | − | 0.181798i | − | 0.0122291i | ||||||
\(222\) | −11.9632 | + | 6.72810i | −0.802920 | + | 0.451561i | ||||
\(223\) | −4.51702 | + | 3.28181i | −0.302482 | + | 0.219766i | −0.728664 | − | 0.684871i | \(-0.759858\pi\) |
0.426182 | + | 0.904638i | \(0.359858\pi\) | |||||||
\(224\) | −9.04893 | + | 12.4548i | −0.604607 | + | 0.832170i | ||||
\(225\) | 2.76748 | − | 1.15804i | 0.184499 | − | 0.0772027i | ||||
\(226\) | −23.9058 | + | 7.76748i | −1.59019 | + | 0.516685i | ||||
\(227\) | 9.76094 | + | 7.09174i | 0.647856 | + | 0.470695i | 0.862540 | − | 0.505988i | \(-0.168872\pi\) |
−0.214684 | + | 0.976684i | \(0.568872\pi\) | |||||||
\(228\) | −2.77076 | + | 23.7774i | −0.183498 | + | 1.57470i | ||||
\(229\) | 3.18272 | − | 9.79542i | 0.210320 | − | 0.647299i | −0.789133 | − | 0.614223i | \(-0.789470\pi\) |
0.999453 | − | 0.0330764i | \(-0.0105305\pi\) | |||||||
\(230\) | 17.6917 | 1.16656 | ||||||||
\(231\) | 4.34538 | − | 10.5126i | 0.285905 | − | 0.691680i | ||||
\(232\) | −1.59707 | −0.104853 | ||||||||
\(233\) | −0.155167 | + | 0.477556i | −0.0101654 | + | 0.0312858i | −0.956011 | − | 0.293332i | \(-0.905236\pi\) |
0.945845 | + | 0.324618i | \(0.105236\pi\) | |||||||
\(234\) | −28.5469 | + | 24.5600i | −1.86617 | + | 1.60554i | ||||
\(235\) | 0.963882 | + | 0.700301i | 0.0628767 | + | 0.0456826i | ||||
\(236\) | −7.58029 | + | 2.46299i | −0.493435 | + | 0.160327i | ||||
\(237\) | −27.1636 | − | 12.4632i | −1.76446 | − | 0.809573i | ||||
\(238\) | −0.0778508 | + | 0.107152i | −0.00504632 | + | 0.00694566i | ||||
\(239\) | 0.520067 | − | 0.377850i | 0.0336403 | − | 0.0244411i | −0.570838 | − | 0.821063i | \(-0.693382\pi\) |
0.604478 | + | 0.796622i | \(0.293382\pi\) | |||||||
\(240\) | −2.02161 | − | 3.59462i | −0.130494 | − | 0.232032i | ||||
\(241\) | − | 17.0924i | − | 1.10102i | −0.834830 | − | 0.550508i | \(-0.814434\pi\) | ||
0.834830 | − | 0.550508i | \(-0.185566\pi\) | |||||||
\(242\) | 8.99983 | + | 21.8591i | 0.578531 | + | 1.40516i | ||||
\(243\) | 13.0389 | + | 8.54325i | 0.836446 | + | 0.548050i | ||||
\(244\) | 21.8340 | + | 7.09429i | 1.39778 | + | 0.454165i | ||||
\(245\) | 1.80971 | + | 2.49085i | 0.115618 | + | 0.159135i | ||||
\(246\) | 2.30464 | + | 11.4780i | 0.146939 | + | 0.731810i | ||||
\(247\) | −9.52763 | − | 29.3230i | −0.606229 | − | 1.86578i | ||||
\(248\) | −0.203863 | − | 0.627424i | −0.0129453 | − | 0.0398415i | ||||
\(249\) | 3.50014 | + | 17.4320i | 0.221813 | + | 1.10471i | ||||
\(250\) | 1.26317 | + | 1.73860i | 0.0798897 | + | 0.109959i | ||||
\(251\) | 12.8145 | + | 4.16368i | 0.808844 | + | 0.262809i | 0.684108 | − | 0.729381i | \(-0.260192\pi\) |
0.124736 | + | 0.992190i | \(0.460192\pi\) | |||||||
\(252\) | 15.5018 | − | 1.27630i | 0.976522 | − | 0.0803993i | ||||
\(253\) | 9.42306 | + | 25.6263i | 0.592423 | + | 1.61111i | ||||
\(254\) | 33.2215i | 2.08450i | ||||||||
\(255\) | −0.0264256 | − | 0.0469874i | −0.00165484 | − | 0.00294246i | ||||
\(256\) | −1.72974 | + | 1.25673i | −0.108109 | + | 0.0785456i | ||||
\(257\) | −0.141442 | + | 0.194679i | −0.00882294 | + | 0.0121437i | −0.813406 | − | 0.581697i | \(-0.802389\pi\) |
0.804583 | + | 0.593841i | \(0.202389\pi\) | |||||||
\(258\) | 9.44038 | + | 4.33144i | 0.587732 | + | 0.269664i | ||||
\(259\) | −6.94439 | + | 2.25637i | −0.431504 | + | 0.140204i | ||||
\(260\) | −12.3729 | − | 8.98946i | −0.767337 | − | 0.557503i | ||||
\(261\) | −2.35160 | − | 2.73334i | −0.145560 | − | 0.169189i | ||||
\(262\) | 7.75549 | − | 23.8690i | 0.479136 | − | 1.47463i | ||||
\(263\) | −0.755445 | −0.0465827 | −0.0232914 | − | 0.999729i | \(-0.507415\pi\) | ||||
−0.0232914 | + | 0.999729i | \(0.507415\pi\) | |||||||
\(264\) | −4.95312 | + | 5.80804i | −0.304844 | + | 0.357460i | ||||
\(265\) | −10.2500 | −0.629653 | ||||||||
\(266\) | −6.94129 | + | 21.3631i | −0.425598 | + | 1.30986i | ||||
\(267\) | 0.358169 | − | 3.07364i | 0.0219196 | − | 0.188104i | ||||
\(268\) | −14.1619 | − | 10.2892i | −0.865076 | − | 0.628515i | ||||
\(269\) | 23.4922 | − | 7.63308i | 1.43234 | − | 0.465397i | 0.512842 | − | 0.858483i | \(-0.328593\pi\) |
0.919502 | + | 0.393086i | \(0.128593\pi\) | |||||||
\(270\) | −3.80823 | + | 10.4972i | −0.231762 | + | 0.638841i | ||||
\(271\) | −3.34507 | + | 4.60410i | −0.203199 | + | 0.279679i | −0.898439 | − | 0.439098i | \(-0.855298\pi\) |
0.695240 | + | 0.718777i | \(0.255298\pi\) | |||||||
\(272\) | −0.0599546 | + | 0.0435596i | −0.00363528 | + | 0.00264119i | ||||
\(273\) | −17.4616 | + | 9.82036i | −1.05682 | + | 0.594355i | ||||
\(274\) | − | 7.70536i | − | 0.465498i | ||||||
\(275\) | −1.84555 | + | 2.75571i | −0.111291 | + | 0.166175i | ||||
\(276\) | −25.2933 | + | 27.4613i | −1.52248 | + | 1.65298i | ||||
\(277\) | 14.5011 | + | 4.71169i | 0.871286 | + | 0.283098i | 0.710335 | − | 0.703864i | \(-0.248544\pi\) |
0.160952 | + | 0.986962i | \(0.448544\pi\) | |||||||
\(278\) | 6.37944 | + | 8.78055i | 0.382614 | + | 0.526622i | ||||
\(279\) | 0.773644 | − | 1.27276i | 0.0463169 | − | 0.0761979i | ||||
\(280\) | 0.813096 | + | 2.50245i | 0.0485918 | + | 0.149550i | ||||
\(281\) | 0.414328 | + | 1.27517i | 0.0247168 | + | 0.0760704i | 0.962654 | − | 0.270735i | \(-0.0872666\pi\) |
−0.937937 | + | 0.346805i | \(0.887267\pi\) | |||||||
\(282\) | −4.34796 | + | 0.873019i | −0.258918 | + | 0.0519875i | ||||
\(283\) | −0.978635 | − | 1.34698i | −0.0581738 | − | 0.0800694i | 0.778939 | − | 0.627100i | \(-0.215758\pi\) |
−0.837113 | + | 0.547030i | \(0.815758\pi\) | |||||||
\(284\) | 1.46953 | + | 0.477480i | 0.0872007 | + | 0.0283332i | ||||
\(285\) | −6.72481 | − | 6.19390i | −0.398344 | − | 0.366895i | ||||
\(286\) | 11.3434 | − | 40.0572i | 0.670748 | − | 2.36863i | ||||
\(287\) | 6.22805i | 0.367630i | ||||||||
\(288\) | 22.6986 | + | 5.36292i | 1.33753 | + | 0.316013i | ||||
\(289\) | 13.7525 | − | 9.99178i | 0.808971 | − | 0.587752i | ||||
\(290\) | 1.51820 | − | 2.08963i | 0.0891520 | − | 0.122707i | ||||
\(291\) | −13.2260 | + | 28.8260i | −0.775321 | + | 1.68981i | ||||
\(292\) | 11.1574 | − | 3.62526i | 0.652937 | − | 0.212152i | ||||
\(293\) | −8.47130 | − | 6.15476i | −0.494899 | − | 0.359565i | 0.312166 | − | 0.950027i | \(-0.398945\pi\) |
−0.807065 | + | 0.590463i | \(0.798945\pi\) | |||||||
\(294\) | −11.3832 | − | 1.32648i | −0.663882 | − | 0.0773617i | ||||
\(295\) | 0.940675 | − | 2.89510i | 0.0547682 | − | 0.168559i | ||||
\(296\) | 4.89977 | 0.284793 | ||||||||
\(297\) | −17.2335 | + | 0.0748932i | −0.999991 | + | 0.00434575i | ||||
\(298\) | −3.68102 | −0.213235 | ||||||||
\(299\) | 14.8595 | − | 45.7328i | 0.859346 | − | 2.64479i | ||||
\(300\) | −4.50458 | − | 0.524915i | −0.260072 | − | 0.0303060i | ||||
\(301\) | 4.47029 | + | 3.24786i | 0.257663 | + | 0.187203i | ||||
\(302\) | 8.39310 | − | 2.72708i | 0.482969 | − | 0.156926i | ||||
\(303\) | 2.86707 | − | 6.24877i | 0.164709 | − | 0.358982i | ||||
\(304\) | −7.38749 | + | 10.1680i | −0.423702 | + | 0.583175i | ||||
\(305\) | −7.09352 | + | 5.15374i | −0.406174 | + | 0.295102i | ||||
\(306\) | 0.195283 | + | 0.0461389i | 0.0111636 | + | 0.00263759i | ||||
\(307\) | 9.83161i | 0.561119i | 0.959837 | + | 0.280560i | \(0.0905201\pi\) | ||||
−0.959837 | + | 0.280560i | \(0.909480\pi\) | |||||||
\(308\) | −13.5156 | + | 10.6315i | −0.770120 | + | 0.605785i | ||||
\(309\) | −19.7564 | − | 18.1966i | −1.12390 | − | 1.03517i | ||||
\(310\) | 1.01473 | + | 0.329705i | 0.0576327 | + | 0.0187260i | ||||
\(311\) | −19.6486 | − | 27.0440i | −1.11417 | − | 1.53353i | −0.815123 | − | 0.579288i | \(-0.803331\pi\) |
−0.299049 | − | 0.954238i | \(-0.596669\pi\) | |||||||
\(312\) | 13.1803 | − | 2.64644i | 0.746186 | − | 0.149825i | ||||
\(313\) | −2.93316 | − | 9.02734i | −0.165792 | − | 0.510255i | 0.833302 | − | 0.552818i | \(-0.186448\pi\) |
−0.999094 | + | 0.0425630i | \(0.986448\pi\) | |||||||
\(314\) | −12.8174 | − | 39.4479i | −0.723327 | − | 2.22617i | ||||
\(315\) | −3.08564 | + | 5.07632i | −0.173856 | + | 0.286018i | ||||
\(316\) | 26.5554 | + | 36.5503i | 1.49386 | + | 2.05612i | ||||
\(317\) | −2.35417 | − | 0.764916i | −0.132223 | − | 0.0429619i | 0.242158 | − | 0.970237i | \(-0.422145\pi\) |
−0.374381 | + | 0.927275i | \(0.622145\pi\) | |||||||
\(318\) | 25.8476 | − | 28.0632i | 1.44946 | − | 1.57370i | ||||
\(319\) | 3.83545 | + | 1.08612i | 0.214744 | + | 0.0608110i | ||||
\(320\) | 11.9455i | 0.667775i | ||||||||
\(321\) | 7.06047 | − | 3.97080i | 0.394077 | − | 0.221628i | ||||
\(322\) | −28.3422 | + | 20.5918i | −1.57945 | + | 1.14754i | ||||
\(323\) | −0.0965663 | + | 0.132912i | −0.00537309 | + | 0.00739542i | ||||
\(324\) | −10.8494 | − | 20.9187i | −0.602745 | − | 1.16215i | ||||
\(325\) | 5.55519 | − | 1.80499i | 0.308147 | − | 0.100123i | ||||
\(326\) | −32.8782 | − | 23.8874i | −1.82096 | − | 1.32300i | ||||
\(327\) | 1.71465 | − | 14.7143i | 0.0948202 | − | 0.813702i | ||||
\(328\) | 1.29146 | − | 3.97471i | 0.0713091 | − | 0.219467i | ||||
\(329\) | −2.35924 | −0.130069 | ||||||||
\(330\) | −2.89080 | − | 12.0020i | −0.159133 | − | 0.660688i | ||||
\(331\) | −1.15716 | −0.0636035 | −0.0318018 | − | 0.999494i | \(-0.510125\pi\) | ||||
−0.0318018 | + | 0.999494i | \(0.510125\pi\) | |||||||
\(332\) | 8.30567 | − | 25.5622i | 0.455833 | − | 1.40291i | ||||
\(333\) | 7.21465 | + | 8.38583i | 0.395360 | + | 0.459541i | ||||
\(334\) | −36.1783 | − | 26.2851i | −1.97959 | − | 1.43825i | ||||
\(335\) | 6.35840 | − | 2.06597i | 0.347397 | − | 0.112876i | ||||
\(336\) | 7.42249 | + | 3.40559i | 0.404930 | + | 0.185790i | ||||
\(337\) | 15.8295 | − | 21.7874i | 0.862287 | − | 1.18684i | −0.118732 | − | 0.992926i | \(-0.537883\pi\) |
0.981019 | − | 0.193910i | \(-0.0621170\pi\) | |||||||
\(338\) | −36.7160 | + | 26.6757i | −1.99709 | + | 1.45097i | ||||
\(339\) | 9.93081 | + | 17.6580i | 0.539367 | + | 0.959048i | ||||
\(340\) | 0.0814928i | 0.00441957i | ||||||||
\(341\) | 0.0628943 | + | 1.64544i | 0.00340592 | + | 0.0891054i | ||||
\(342\) | 33.9161 | − | 2.79239i | 1.83397 | − | 0.150995i | ||||
\(343\) | −18.9812 | − | 6.16737i | −1.02489 | − | 0.333007i | ||||
\(344\) | −2.17944 | − | 2.99974i | −0.117507 | − | 0.161735i | ||||
\(345\) | −2.80701 | − | 13.9800i | −0.151124 | − | 0.752657i | ||||
\(346\) | 11.7259 | + | 36.0887i | 0.630389 | + | 1.94014i | ||||
\(347\) | 0.903532 | + | 2.78078i | 0.0485041 | + | 0.149280i | 0.972375 | − | 0.233424i | \(-0.0749929\pi\) |
−0.923871 | + | 0.382704i | \(0.874993\pi\) | |||||||
\(348\) | 1.07302 | + | 5.34404i | 0.0575199 | + | 0.286471i | ||||
\(349\) | 15.4992 | + | 21.3328i | 0.829652 | + | 1.14192i | 0.987988 | + | 0.154533i | \(0.0493874\pi\) |
−0.158335 | + | 0.987385i | \(0.550613\pi\) | |||||||
\(350\) | −4.04720 | − | 1.31501i | −0.216332 | − | 0.0702904i | ||||
\(351\) | 23.9366 | + | 18.6609i | 1.27764 | + | 0.996048i | ||||
\(352\) | −24.2008 | + | 8.89889i | −1.28991 | + | 0.474313i | ||||
\(353\) | − | 26.5862i | − | 1.41504i | −0.706694 | − | 0.707519i | \(-0.749814\pi\) | ||
0.706694 | − | 0.707519i | \(-0.250186\pi\) | |||||||
\(354\) | 5.55428 | + | 9.87606i | 0.295207 | + | 0.524907i | ||||
\(355\) | −0.477428 | + | 0.346872i | −0.0253393 | + | 0.0184101i | ||||
\(356\) | −2.74955 | + | 3.78443i | −0.145726 | + | 0.200575i | ||||
\(357\) | 0.0970237 | + | 0.0445165i | 0.00513504 | + | 0.00235606i | ||||
\(358\) | −29.0786 | + | 9.44819i | −1.53685 | + | 0.499353i | ||||
\(359\) | 4.63117 | + | 3.36474i | 0.244424 | + | 0.177584i | 0.703252 | − | 0.710941i | \(-0.251731\pi\) |
−0.458828 | + | 0.888525i | \(0.651731\pi\) | |||||||
\(360\) | 3.02188 | − | 2.59984i | 0.159267 | − | 0.137024i | ||||
\(361\) | −2.73866 | + | 8.42873i | −0.144140 | + | 0.443617i | ||||
\(362\) | 9.25868 | 0.486625 | ||||||||
\(363\) | 15.8451 | − | 10.5799i | 0.831651 | − | 0.555299i | ||||
\(364\) | 30.2845 | 1.58734 | ||||||||
\(365\) | −1.38457 | + | 4.26128i | −0.0724720 | + | 0.223046i | ||||
\(366\) | 3.77757 | − | 32.4174i | 0.197457 | − | 1.69448i | ||||
\(367\) | 18.7868 | + | 13.6494i | 0.980663 | + | 0.712494i | 0.957857 | − | 0.287246i | \(-0.0927399\pi\) |
0.0228065 | + | 0.999740i | \(0.492740\pi\) | |||||||
\(368\) | −18.6425 | + | 6.05730i | −0.971805 | + | 0.315759i | ||||
\(369\) | 8.70423 | − | 3.64225i | 0.453124 | − | 0.189608i | ||||
\(370\) | −4.65782 | + | 6.41094i | −0.242149 | + | 0.333289i | ||||
\(371\) | 16.4206 | − | 11.9302i | 0.852513 | − | 0.619387i | ||||
\(372\) | −1.96249 | + | 1.10370i | −0.101751 | + | 0.0572244i | ||||
\(373\) | 2.67037i | 0.138266i | 0.997607 | + | 0.0691332i | \(0.0220233\pi\) | ||||
−0.997607 | + | 0.0691332i | \(0.977977\pi\) | |||||||
\(374\) | −0.208208 | + | 0.0765600i | −0.0107662 | + | 0.00395883i | ||||
\(375\) | 1.17342 | − | 1.27400i | 0.0605952 | − | 0.0657892i | ||||
\(376\) | 1.50566 | + | 0.489217i | 0.0776483 | + | 0.0252295i | ||||
\(377\) | −4.12649 | − | 5.67963i | −0.212525 | − | 0.292516i | ||||
\(378\) | −6.11718 | − | 21.2491i | −0.314634 | − | 1.09294i | ||||
\(379\) | 8.17873 | + | 25.1716i | 0.420113 | + | 1.29298i | 0.907596 | + | 0.419844i | \(0.137915\pi\) |
−0.487483 | + | 0.873132i | \(0.662085\pi\) | |||||||
\(380\) | 4.27085 | + | 13.1443i | 0.219090 | + | 0.674290i | ||||
\(381\) | 26.2516 | − | 5.27100i | 1.34491 | − | 0.270041i | ||||
\(382\) | −19.2067 | − | 26.4357i | −0.982700 | − | 1.35257i | ||||
\(383\) | 14.5913 | + | 4.74102i | 0.745583 | + | 0.242255i | 0.657080 | − | 0.753821i | \(-0.271792\pi\) |
0.0885035 | + | 0.996076i | \(0.471792\pi\) | |||||||
\(384\) | −12.8957 | − | 11.8776i | −0.658083 | − | 0.606129i | ||||
\(385\) | −0.250851 | − | 6.56274i | −0.0127845 | − | 0.334468i | ||||
\(386\) | 6.09144i | 0.310046i | ||||||||
\(387\) | 1.92487 | − | 8.14701i | 0.0978466 | − | 0.414136i | ||||
\(388\) | 38.7873 | − | 28.1806i | 1.96913 | − | 1.43065i | ||||
\(389\) | 1.58236 | − | 2.17793i | 0.0802289 | − | 0.110426i | −0.767016 | − | 0.641628i | \(-0.778259\pi\) |
0.847245 | + | 0.531202i | \(0.178259\pi\) | |||||||
\(390\) | −9.06679 | + | 19.7610i | −0.459115 | + | 1.00064i | ||||
\(391\) | −0.243687 | + | 0.0791786i | −0.0123238 | + | 0.00400423i | ||||
\(392\) | 3.30980 | + | 2.40471i | 0.167170 | + | 0.121456i | ||||
\(393\) | −20.0917 | − | 2.34127i | −1.01349 | − | 0.118102i | ||||
\(394\) | 16.4090 | − | 50.5018i | 0.826675 | − | 2.54425i | ||||
\(395\) | −17.2549 | −0.868186 | ||||||||
\(396\) | 22.7625 | + | 12.6717i | 1.14386 | + | 0.636777i | ||||
\(397\) | 5.48975 | 0.275523 | 0.137761 | − | 0.990465i | \(-0.456009\pi\) | ||||
0.137761 | + | 0.990465i | \(0.456009\pi\) | |||||||
\(398\) | −7.59998 | + | 23.3903i | −0.380952 | + | 1.17245i | ||||
\(399\) | 17.9824 | + | 2.09548i | 0.900246 | + | 0.104905i | ||||
\(400\) | −1.92631 | − | 1.39955i | −0.0963154 | − | 0.0699773i | ||||
\(401\) | −23.5129 | + | 7.63981i | −1.17418 | + | 0.381514i | −0.830201 | − | 0.557464i | \(-0.811774\pi\) |
−0.343978 | + | 0.938978i | \(0.611774\pi\) | |||||||
\(402\) | −10.3777 | + | 22.6182i | −0.517594 | + | 1.12810i | ||||
\(403\) | 1.70456 | − | 2.34613i | 0.0849103 | − | 0.116869i | ||||
\(404\) | −8.40812 | + | 6.10886i | −0.418320 | + | 0.303927i | ||||
\(405\) | 8.89912 | + | 1.34374i | 0.442201 | + | 0.0667712i | ||||
\(406\) | 5.11467i | 0.253837i | ||||||||
\(407\) | −11.7671 | − | 3.33219i | −0.583272 | − | 0.165171i | ||||
\(408\) | −0.0526890 | − | 0.0485293i | −0.00260850 | − | 0.00240256i | ||||
\(409\) | −1.84816 | − | 0.600504i | −0.0913857 | − | 0.0296930i | 0.262967 | − | 0.964805i | \(-0.415299\pi\) |
−0.354353 | + | 0.935112i | \(0.615299\pi\) | |||||||
\(410\) | 3.97289 | + | 5.46821i | 0.196207 | + | 0.270056i | ||||
\(411\) | −6.08877 | + | 1.22255i | −0.300337 | + | 0.0603040i | ||||
\(412\) | 12.5471 | + | 38.6159i | 0.618149 | + | 1.90247i | ||||
\(413\) | 1.86271 | + | 5.73284i | 0.0916581 | + | 0.282094i | ||||
\(414\) | 45.3538 | + | 27.5683i | 2.22902 | + | 1.35491i | ||||
\(415\) | 6.03377 | + | 8.30477i | 0.296186 | + | 0.407665i | ||||
\(416\) | 43.1888 | + | 14.0329i | 2.11751 | + | 0.688020i | ||||
\(417\) | 5.92620 | − | 6.43417i | 0.290207 | − | 0.315083i | ||||
\(418\) | −29.5704 | + | 23.2604i | −1.44634 | + | 1.13770i | ||||
\(419\) | 12.7547i | 0.623109i | 0.950228 | + | 0.311555i | \(0.100850\pi\) | ||||
−0.950228 | + | 0.311555i | \(0.899150\pi\) | |||||||
\(420\) | 7.82731 | − | 4.40207i | 0.381934 | − | 0.214799i | ||||
\(421\) | 27.8569 | − | 20.2392i | 1.35766 | − | 0.986398i | 0.359071 | − | 0.933310i | \(-0.383094\pi\) |
0.998590 | − | 0.0530880i | \(-0.0169064\pi\) | |||||||
\(422\) | 23.1369 | − | 31.8452i | 1.12629 | − | 1.55020i | ||||
\(423\) | 1.37972 | + | 3.29724i | 0.0670841 | + | 0.160317i | ||||
\(424\) | −12.9534 | + | 4.20882i | −0.629073 | + | 0.204398i | ||||
\(425\) | −0.0251799 | − | 0.0182943i | −0.00122141 | − | 0.000887403i | ||||
\(426\) | 0.254249 | − | 2.18185i | 0.0123184 | − | 0.105711i | ||||
\(427\) | 5.36528 | − | 16.5126i | 0.259644 | − | 0.799102i | ||||
\(428\) | −12.2454 | −0.591902 | ||||||||
\(429\) | −33.4529 | − | 2.60794i | −1.61512 | − | 0.125913i | ||||
\(430\) | 5.99672 | 0.289188 | ||||||||
\(431\) | 8.15148 | − | 25.0877i | 0.392643 | − | 1.20843i | −0.538139 | − | 0.842856i | \(-0.680873\pi\) |
0.930782 | − | 0.365575i | \(-0.119127\pi\) | |||||||
\(432\) | 0.418835 | − | 12.3652i | 0.0201512 | − | 0.594921i | ||||
\(433\) | −7.51544 | − | 5.46029i | −0.361169 | − | 0.262405i | 0.392370 | − | 0.919807i | \(-0.371655\pi\) |
−0.753540 | + | 0.657403i | \(0.771655\pi\) | |||||||
\(434\) | −2.00935 | + | 0.652878i | −0.0964519 | + | 0.0313391i | ||||
\(435\) | −1.89210 | − | 0.868137i | −0.0907194 | − | 0.0416240i | ||||
\(436\) | −13.1628 | + | 18.1171i | −0.630384 | + | 0.867650i | ||||
\(437\) | −35.1557 | + | 25.5421i | −1.68173 | + | 1.22185i | ||||
\(438\) | −8.17532 | − | 14.5365i | −0.390632 | − | 0.694582i | ||||
\(439\) | − | 7.50627i | − | 0.358255i | −0.983826 | − | 0.179127i | \(-0.942673\pi\) | ||
0.983826 | − | 0.179127i | \(-0.0573274\pi\) | |||||||
\(440\) | −1.20077 | + | 4.24033i | −0.0572446 | + | 0.202150i | ||||
\(441\) | 0.757905 | + | 9.20545i | 0.0360907 | + | 0.438355i | ||||
\(442\) | 0.371567 | + | 0.120730i | 0.0176737 | + | 0.00574252i | ||||
\(443\) | 2.64876 | + | 3.64571i | 0.125847 | + | 0.173213i | 0.867291 | − | 0.497801i | \(-0.165859\pi\) |
−0.741445 | + | 0.671014i | \(0.765859\pi\) | |||||||
\(444\) | −3.29200 | − | 16.3954i | −0.156232 | − | 0.778092i | ||||
\(445\) | −0.552082 | − | 1.69913i | −0.0261712 | − | 0.0805466i | ||||
\(446\) | −3.70782 | − | 11.4115i | −0.175571 | − | 0.540351i | ||||
\(447\) | 0.584039 | + | 2.90873i | 0.0276241 | + | 0.137578i | ||||
\(448\) | −13.9037 | − | 19.1368i | −0.656887 | − | 0.904127i | ||||
\(449\) | −36.6279 | − | 11.9011i | −1.72858 | − | 0.561648i | −0.735333 | − | 0.677706i | \(-0.762974\pi\) |
−0.993242 | + | 0.116058i | \(0.962974\pi\) | |||||||
\(450\) | 0.529013 | + | 6.42534i | 0.0249379 | + | 0.302893i | ||||
\(451\) | −5.80460 | + | 8.66721i | −0.273328 | + | 0.408123i | ||||
\(452\) | − | 30.6251i | − | 1.44049i | ||||||
\(453\) | −3.48661 | − | 6.19953i | −0.163815 | − | 0.291279i | ||||
\(454\) | −20.9765 | + | 15.2403i | −0.984477 | + | 0.715265i | ||||
\(455\) | −6.79857 | + | 9.35742i | −0.318722 | + | 0.438683i | ||||
\(456\) | −11.0418 | − | 5.06620i | −0.517078 | − | 0.237246i | ||||
\(457\) | −21.3393 | + | 6.93356i | −0.998211 | + | 0.324338i | −0.762150 | − | 0.647400i | \(-0.775856\pi\) |
−0.236060 | + | 0.971738i | \(0.575856\pi\) | |||||||
\(458\) | 17.9067 | + | 13.0100i | 0.836726 | + | 0.607917i | ||||
\(459\) | 0.00547484 | − | 0.161633i | 0.000255544 | − | 0.00754437i | ||||
\(460\) | −6.66090 | + | 20.5002i | −0.310566 | + | 0.955825i | ||||
\(461\) | 10.8954 | 0.507448 | 0.253724 | − | 0.967277i | \(-0.418345\pi\) | ||||
0.253724 | + | 0.967277i | \(0.418345\pi\) | |||||||
\(462\) | 18.6005 | + | 15.8626i | 0.865372 | + | 0.737993i | ||||
\(463\) | 6.54617 | 0.304226 | 0.152113 | − | 0.988363i | \(-0.451392\pi\) | ||||
0.152113 | + | 0.988363i | \(0.451392\pi\) | |||||||
\(464\) | −0.884342 | + | 2.72173i | −0.0410546 | + | 0.126353i | ||||
\(465\) | 0.0995334 | − | 0.854149i | 0.00461575 | − | 0.0396102i | ||||
\(466\) | −0.873007 | − | 0.634277i | −0.0404413 | − | 0.0293823i | ||||
\(467\) | 30.8859 | − | 10.0354i | 1.42923 | − | 0.464384i | 0.510706 | − | 0.859755i | \(-0.329384\pi\) |
0.918521 | + | 0.395371i | \(0.129384\pi\) | |||||||
\(468\) | −17.7108 | − | 42.3252i | −0.818683 | − | 1.95648i | ||||
\(469\) | −7.78156 | + | 10.7104i | −0.359319 | + | 0.494560i | ||||
\(470\) | −2.07141 | + | 1.50497i | −0.0955469 | + | 0.0694189i | ||||
\(471\) | −29.1380 | + | 16.3872i | −1.34261 | + | 0.755081i | ||||
\(472\) | − | 4.04493i | − | 0.186183i | ||||||
\(473\) | 3.19401 | + | 8.68621i | 0.146861 | + | 0.399392i | ||||
\(474\) | 43.5118 | − | 47.2415i | 1.99856 | − | 2.16987i | ||||
\(475\) | −5.02015 | − | 1.63114i | −0.230340 | − | 0.0748420i | ||||
\(476\) | −0.0948514 | − | 0.130552i | −0.00434751 | − | 0.00598383i | ||||
\(477\) | −26.2765 | − | 15.9722i | −1.20312 | − | 0.731316i | ||||
\(478\) | 0.426899 | + | 1.31386i | 0.0195259 | + | 0.0600946i | ||||
\(479\) | 6.40040 | + | 19.6984i | 0.292442 | + | 0.900043i | 0.984069 | + | 0.177788i | \(0.0568942\pi\) |
−0.691627 | + | 0.722255i | \(0.743106\pi\) | |||||||
\(480\) | 13.2023 | − | 2.65087i | 0.602601 | − | 0.120995i | ||||
\(481\) | 12.6600 | + | 17.4250i | 0.577246 | + | 0.794511i | ||||
\(482\) | 34.9342 | + | 11.3508i | 1.59121 | + | 0.517015i | ||||
\(483\) | 20.7685 | + | 19.1288i | 0.944998 | + | 0.870392i | ||||
\(484\) | −28.7175 | + | 2.19858i | −1.30534 | + | 0.0999353i | ||||
\(485\) | 18.3109i | 0.831454i | ||||||||
\(486\) | −26.1200 | + | 20.9761i | −1.18483 | + | 0.951493i | ||||
\(487\) | −0.910597 | + | 0.661588i | −0.0412631 | + | 0.0299794i | −0.608226 | − | 0.793764i | \(-0.708118\pi\) |
0.566963 | + | 0.823744i | \(0.308118\pi\) | |||||||
\(488\) | −6.84819 | + | 9.42573i | −0.310003 | + | 0.426683i | ||||
\(489\) | −13.6593 | + | 29.7704i | −0.617694 | + | 1.34626i | ||||
\(490\) | −6.29273 | + | 2.04463i | −0.284276 | + | 0.0923670i | ||||
\(491\) | 12.3640 | + | 8.98296i | 0.557979 | + | 0.405395i | 0.830719 | − | 0.556693i | \(-0.187930\pi\) |
−0.272740 | + | 0.962088i | \(0.587930\pi\) | |||||||
\(492\) | −14.1677 | − | 1.65096i | −0.638730 | − | 0.0744308i | ||||
\(493\) | −0.0115598 | + | 0.0355773i | −0.000520625 | + | 0.00160232i | ||||
\(494\) | 66.2590 | 2.98113 | ||||||||
\(495\) | −9.02529 | + | 4.18857i | −0.405657 | + | 0.188262i | ||||
\(496\) | −1.18214 | −0.0530798 | ||||||||
\(497\) | 0.361109 | − | 1.11138i | 0.0161980 | − | 0.0498522i | ||||
\(498\) | −37.9528 | − | 4.42261i | −1.70071 | − | 0.198182i | ||||
\(499\) | 9.10636 | + | 6.61616i | 0.407657 | + | 0.296180i | 0.772652 | − | 0.634829i | \(-0.218930\pi\) |
−0.364996 | + | 0.931009i | \(0.618930\pi\) | |||||||
\(500\) | −2.49017 | + | 0.809105i | −0.111364 | + | 0.0361843i | ||||
\(501\) | −15.0303 | + | 32.7585i | −0.671503 | + | 1.46354i | ||||
\(502\) | −17.0199 | + | 23.4258i | −0.759633 | + | 1.04555i | ||||
\(503\) | 14.1300 | − | 10.2661i | 0.630026 | − | 0.457741i | −0.226383 | − | 0.974038i | \(-0.572690\pi\) |
0.856409 | + | 0.516297i | \(0.172690\pi\) | |||||||
\(504\) | −1.81505 | + | 7.68219i | −0.0808487 | + | 0.342192i | ||||
\(505\) | − | 3.96935i | − | 0.176634i | ||||||
\(506\) | −58.6340 | + | 2.24120i | −2.60660 | + | 0.0996334i | ||||
\(507\) | 26.9046 | + | 24.7805i | 1.19487 | + | 1.10054i | ||||
\(508\) | −38.4951 | − | 12.5078i | −1.70794 | − | 0.554945i | ||||
\(509\) | −1.60146 | − | 2.20422i | −0.0709834 | − | 0.0977003i | 0.772049 | − | 0.635563i | \(-0.219232\pi\) |
−0.843033 | + | 0.537863i | \(0.819232\pi\) | |||||||
\(510\) | 0.113584 | − | 0.0228063i | 0.00502958 | − | 0.00100988i | ||||
\(511\) | −2.74172 | − | 8.43813i | −0.121286 | − | 0.373281i | ||||
\(512\) | −7.67575 | − | 23.6235i | −0.339223 | − | 1.04402i | ||||
\(513\) | −7.58775 | − | 26.3574i | −0.335008 | − | 1.16371i | ||||
\(514\) | −0.303964 | − | 0.418370i | −0.0134073 | − | 0.0184535i | ||||
\(515\) | −14.7483 | − | 4.79203i | −0.649890 | − | 0.211162i | ||||
\(516\) | −8.57331 | + | 9.30818i | −0.377419 | + | 0.409770i | ||||
\(517\) | −3.28322 | − | 2.19884i | −0.144396 | − | 0.0967047i | ||||
\(518\) | − | 15.6917i | − | 0.689454i | ||||||
\(519\) | 26.6568 | − | 14.9917i | 1.17010 | − | 0.658063i | ||||
\(520\) | 6.27919 | − | 4.56210i | 0.275361 | − | 0.200061i | ||||
\(521\) | 0.277311 | − | 0.381686i | 0.0121492 | − | 0.0167220i | −0.802899 | − | 0.596115i | \(-0.796710\pi\) |
0.815048 | + | 0.579393i | \(0.196710\pi\) | |||||||
\(522\) | 7.14819 | − | 2.99113i | 0.312868 | − | 0.130918i | ||||
\(523\) | 26.2068 | − | 8.51509i | 1.14594 | − | 0.372339i | 0.326329 | − | 0.945256i | \(-0.394188\pi\) |
0.819613 | + | 0.572917i | \(0.194188\pi\) | |||||||
\(524\) | 24.7380 | + | 17.9732i | 1.08069 | + | 0.785164i | ||||
\(525\) | −0.396984 | + | 3.40673i | −0.0173258 | + | 0.148682i | ||||
\(526\) | 0.501680 | − | 1.54401i | 0.0218743 | − | 0.0673222i | ||||
\(527\) | −0.0154525 | −0.000673121 | ||||||||
\(528\) | 7.15539 | + | 11.6572i | 0.311398 | + | 0.507315i | ||||
\(529\) | −44.7731 | −1.94665 | ||||||||
\(530\) | 6.80689 | − | 20.9495i | 0.295672 | − | 0.909986i | ||||
\(531\) | 6.92279 | − | 5.95594i | 0.300424 | − | 0.258466i | ||||
\(532\) | −22.1409 | − | 16.0863i | −0.959931 | − | 0.697431i | ||||
\(533\) | 17.4721 | − | 5.67703i | 0.756800 | − | 0.245899i | ||||
\(534\) | 6.04419 | + | 2.77320i | 0.261558 | + | 0.120008i | ||||
\(535\) | 2.74896 | − | 3.78361i | 0.118848 | − | 0.163580i | ||||
\(536\) | 7.18709 | − | 5.22172i | 0.310435 | − | 0.225544i | ||||
\(537\) | 12.0796 | + | 21.4788i | 0.521274 | + | 0.926877i | ||||
\(538\) | 53.0834i | 2.28859i | ||||||||
\(539\) | −6.31330 | − | 8.02594i | −0.271933 | − | 0.345702i | ||||
\(540\) | −10.7298 | − | 8.36495i | −0.461737 | − | 0.359970i | ||||
\(541\) | −9.48950 | − | 3.08332i | −0.407985 | − | 0.132562i | 0.0978323 | − | 0.995203i | \(-0.468809\pi\) |
−0.505818 | + | 0.862640i | \(0.668809\pi\) | |||||||
\(542\) | −7.18865 | − | 9.89433i | −0.308779 | − | 0.424998i | ||||
\(543\) | −1.46900 | − | 7.31619i | −0.0630410 | − | 0.313968i | ||||
\(544\) | −0.0747742 | − | 0.230131i | −0.00320592 | − | 0.00986679i | ||||
\(545\) | −2.64296 | − | 8.13418i | −0.113212 | − | 0.348430i | ||||
\(546\) | −8.47532 | − | 42.2103i | −0.362710 | − | 1.80643i | ||||
\(547\) | −1.68151 | − | 2.31440i | −0.0718963 | − | 0.0989568i | 0.771554 | − | 0.636163i | \(-0.219480\pi\) |
−0.843451 | + | 0.537207i | \(0.819480\pi\) | |||||||
\(548\) | 8.92853 | + | 2.90105i | 0.381408 | + | 0.123927i | ||||
\(549\) | −26.2155 | + | 2.15838i | −1.11885 | + | 0.0921175i | ||||
\(550\) | −4.40664 | − | 5.60206i | −0.187900 | − | 0.238872i | ||||
\(551\) | 6.34424i | 0.270274i | ||||||||
\(552\) | −9.28775 | − | 16.5145i | −0.395313 | − | 0.702905i | ||||
\(553\) | 27.6424 | − | 20.0833i | 1.17547 | − | 0.854031i | ||||
\(554\) | −19.2599 | + | 26.5090i | −0.818277 | + | 1.12626i | ||||
\(555\) | 5.80493 | + | 2.66343i | 0.246406 | + | 0.113056i | ||||
\(556\) | −12.5762 | + | 4.08627i | −0.533351 | + | 0.173296i | ||||
\(557\) | −12.5736 | − | 9.13523i | −0.532759 | − | 0.387072i | 0.288630 | − | 0.957441i | \(-0.406800\pi\) |
−0.821389 | + | 0.570369i | \(0.806800\pi\) | |||||||
\(558\) | 2.08755 | + | 2.42643i | 0.0883730 | + | 0.102719i | ||||
\(559\) | 5.03671 | − | 15.5014i | 0.213030 | − | 0.655640i | ||||
\(560\) | 4.71492 | 0.199242 | ||||||||
\(561\) | 0.0935323 | + | 0.152378i | 0.00394894 | + | 0.00643341i | ||||
\(562\) | −2.88140 | −0.121545 | ||||||||
\(563\) | −14.0164 | + | 43.1381i | −0.590721 | + | 1.81805i | −0.0157560 | + | 0.999876i | \(0.505016\pi\) |
−0.574965 | + | 0.818178i | \(0.694984\pi\) | |||||||
\(564\) | 0.625397 | − | 5.36686i | 0.0263339 | − | 0.225986i | ||||
\(565\) | 9.46267 | + | 6.87503i | 0.398097 | + | 0.289235i | ||||
\(566\) | 3.40291 | − | 1.10567i | 0.143035 | − | 0.0464749i | ||||
\(567\) | −15.8204 | + | 8.20522i | −0.664396 | + | 0.344587i | ||||
\(568\) | −0.460917 | + | 0.634398i | −0.0193396 | + | 0.0266187i | ||||
\(569\) | 2.86296 | − | 2.08006i | 0.120021 | − | 0.0872007i | −0.526155 | − | 0.850389i | \(-0.676367\pi\) |
0.646177 | + | 0.763188i | \(0.276367\pi\) | |||||||
\(570\) | 17.1252 | − | 9.63120i | 0.717297 | − | 0.403407i | ||||
\(571\) | 30.7480i | 1.28677i | 0.765545 | + | 0.643383i | \(0.222470\pi\) | ||||
−0.765545 | + | 0.643383i | \(0.777530\pi\) | |||||||
\(572\) | 42.1452 | + | 28.2255i | 1.76218 | + | 1.18017i | ||||
\(573\) | −17.8421 | + | 19.3714i | −0.745364 | + | 0.809254i | ||||
\(574\) | −12.7292 | − | 4.13596i | −0.531305 | − | 0.172632i | ||||
\(575\) | −4.83891 | − | 6.66018i | −0.201796 | − | 0.277749i | ||||
\(576\) | −18.6142 | + | 30.6230i | −0.775592 | + | 1.27596i | ||||
\(577\) | −6.92177 | − | 21.3030i | −0.288157 | − | 0.886857i | −0.985435 | − | 0.170055i | \(-0.945605\pi\) |
0.697277 | − | 0.716801i | \(-0.254395\pi\) | |||||||
\(578\) | 11.2888 | + | 34.7434i | 0.469553 | + | 1.44514i | ||||
\(579\) | 4.81345 | − | 0.966483i | 0.200040 | − | 0.0401656i | ||||
\(580\) | 1.84974 | + | 2.54595i | 0.0768063 | + | 0.105715i | ||||
\(581\) | −19.3322 | − | 6.28143i | −0.802037 | − | 0.260598i | ||||
\(582\) | −50.1327 | − | 46.1748i | −2.07807 | − | 1.91401i | ||||
\(583\) | 33.9707 | − | 1.29848i | 1.40692 | − | 0.0537774i | ||||
\(584\) | 5.95371i | 0.246366i | ||||||||
\(585\) | 17.0537 | + | 4.02923i | 0.705084 | + | 0.166588i | ||||
\(586\) | 18.2051 | − | 13.2267i | 0.752044 | − | 0.546392i | ||||
\(587\) | 1.62261 | − | 2.23334i | 0.0669724 | − | 0.0921796i | −0.774217 | − | 0.632920i | \(-0.781856\pi\) |
0.841189 | + | 0.540741i | \(0.181856\pi\) | |||||||
\(588\) | 5.82280 | − | 12.6908i | 0.240128 | − | 0.523359i | ||||
\(589\) | −2.49240 | + | 0.809830i | −0.102698 | + | 0.0333685i | ||||
\(590\) | 5.29245 | + | 3.84519i | 0.217887 | + | 0.158304i | ||||
\(591\) | −42.5100 | − | 4.95366i | −1.74863 | − | 0.203766i | ||||
\(592\) | 2.71314 | − | 8.35020i | 0.111510 | − | 0.343191i | ||||
\(593\) | 23.1963 | 0.952558 | 0.476279 | − | 0.879294i | \(-0.341985\pi\) | ||||
0.476279 | + | 0.879294i | \(0.341985\pi\) | |||||||
\(594\) | 11.2915 | − | 35.2724i | 0.463295 | − | 1.44724i | ||||
\(595\) | 0.0616315 | 0.00252664 | ||||||||
\(596\) | 1.38590 | − | 4.26535i | 0.0567685 | − | 0.174715i | ||||
\(597\) | 19.6888 | + | 2.29433i | 0.805810 | + | 0.0939005i | ||||
\(598\) | 83.6028 | + | 60.7410i | 3.41877 | + | 2.48388i | ||||
\(599\) | −5.01169 | + | 1.62840i | −0.204772 | + | 0.0665345i | −0.409607 | − | 0.912262i | \(-0.634334\pi\) |
0.204835 | + | 0.978797i | \(0.434334\pi\) | |||||||
\(600\) | 0.959781 | − | 2.09184i | 0.0391829 | − | 0.0853990i | ||||
\(601\) | 7.05506 | − | 9.71046i | 0.287782 | − | 0.396098i | −0.640510 | − | 0.767950i | \(-0.721277\pi\) |
0.928292 | + | 0.371852i | \(0.121277\pi\) | |||||||
\(602\) | −9.60678 | + | 6.97973i | −0.391543 | + | 0.284473i | ||||
\(603\) | 19.5195 | + | 4.61180i | 0.794894 | + | 0.187807i | ||||
\(604\) | 10.7522i | 0.437500i | ||||||||
\(605\) | 5.76745 | − | 9.36678i | 0.234480 | − | 0.380814i | ||||
\(606\) | 10.8675 | + | 10.0096i | 0.441464 | + | 0.406611i | ||||
\(607\) | −2.99925 | − | 0.974515i | −0.121736 | − | 0.0395544i | 0.247516 | − | 0.968884i | \(-0.420386\pi\) |
−0.369251 | + | 0.929330i | \(0.620386\pi\) | |||||||
\(608\) | −24.1213 | − | 33.2002i | −0.978249 | − | 1.34644i | ||||
\(609\) | 4.04160 | − | 0.811505i | 0.163774 | − | 0.0328839i | ||||
\(610\) | −5.82275 | − | 17.9206i | −0.235756 | − | 0.725583i | ||||
\(611\) | 2.15051 | + | 6.61859i | 0.0870003 | + | 0.267759i | ||||
\(612\) | −0.126987 | + | 0.208911i | −0.00513314 | + | 0.00844474i | ||||
\(613\) | 5.53546 | + | 7.61890i | 0.223575 | + | 0.307725i | 0.906039 | − | 0.423195i | \(-0.139091\pi\) |
−0.682464 | + | 0.730920i | \(0.739091\pi\) | |||||||
\(614\) | −20.0943 | − | 6.52903i | −0.810940 | − | 0.263490i | ||||
\(615\) | 3.69063 | − | 4.00697i | 0.148820 | − | 0.161577i | ||||
\(616\) | −3.01178 | − | 8.19063i | −0.121348 | − | 0.330010i | ||||
\(617\) | − | 0.387728i | − | 0.0156093i | −0.999970 | − | 0.00780467i | \(-0.997516\pi\) | ||
0.999970 | − | 0.00780467i | \(-0.00248433\pi\) | |||||||
\(618\) | 50.3111 | − | 28.2949i | 2.02381 | − | 1.13819i | ||||
\(619\) | −19.2084 | + | 13.9557i | −0.772051 | + | 0.560928i | −0.902583 | − | 0.430516i | \(-0.858332\pi\) |
0.130531 | + | 0.991444i | \(0.458332\pi\) | |||||||
\(620\) | −0.764087 | + | 1.05168i | −0.0306865 | + | 0.0422363i | ||||
\(621\) | 14.5885 | − | 40.2125i | 0.585416 | − | 1.61367i | ||||
\(622\) | 68.3222 | − | 22.1992i | 2.73947 | − | 0.890108i | ||||
\(623\) | 2.86210 | + | 2.07944i | 0.114668 | + | 0.0833109i | ||||
\(624\) | 2.78823 | − | 23.9273i | 0.111618 | − | 0.957857i | ||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | 20.3984 | 0.815283 | ||||||||
\(627\) | 23.0721 | + | 19.6759i | 0.921409 | + | 0.785781i | ||||
\(628\) | 50.5356 | 2.01659 | ||||||||
\(629\) | 0.0354651 | − | 0.109150i | 0.00141409 | − | 0.00435211i | ||||
\(630\) | −8.32609 | − | 9.67769i | −0.331719 | − | 0.385568i | ||||
\(631\) | −22.7414 | − | 16.5226i | −0.905321 | − | 0.657754i | 0.0345063 | − | 0.999404i | \(-0.489014\pi\) |
−0.939827 | + | 0.341650i | \(0.889014\pi\) | |||||||
\(632\) | −21.8058 | + | 7.08512i | −0.867386 | + | 0.281831i | ||||
\(633\) | −28.8350 | − | 13.2301i | −1.14609 | − | 0.525849i | ||||
\(634\) | 3.12674 | − | 4.30359i | 0.124179 | − | 0.170917i | ||||
\(635\) | 12.5065 | − | 9.08648i | 0.496304 | − | 0.360586i | ||||
\(636\) | 22.7864 | + | 40.5164i | 0.903539 | + | 1.60658i | ||||
\(637\) | 17.9839i | 0.712547i | ||||||||
\(638\) | −4.76692 | + | 7.11779i | −0.188724 | + | 0.281796i | ||||
\(639\) | −1.76443 | + | 0.145270i | −0.0697998 | + | 0.00574678i | ||||
\(640\) | −9.62682 | − | 3.12794i | −0.380533 | − | 0.123643i | ||||
\(641\) | 14.2598 | + | 19.6270i | 0.563229 | + | 0.775218i | 0.991733 | − | 0.128322i | \(-0.0409591\pi\) |
−0.428504 | + | 0.903540i | \(0.640959\pi\) | |||||||
\(642\) | 3.42694 | + | 17.0675i | 0.135251 | + | 0.673599i | ||||
\(643\) | 3.01021 | + | 9.26448i | 0.118711 | + | 0.365355i | 0.992703 | − | 0.120585i | \(-0.0384771\pi\) |
−0.873992 | + | 0.485941i | \(0.838477\pi\) | |||||||
\(644\) | −13.1898 | − | 40.5941i | −0.519752 | − | 1.59963i | ||||
\(645\) | −0.951454 | − | 4.73860i | −0.0374635 | − | 0.186582i | ||||
\(646\) | −0.207523 | − | 0.285632i | −0.00816490 | − | 0.0112380i | ||||
\(647\) | −28.4278 | − | 9.23675i | −1.11761 | − | 0.363134i | −0.308756 | − | 0.951141i | \(-0.599913\pi\) |
−0.808856 | + | 0.588007i | \(0.799913\pi\) | |||||||
\(648\) | 11.7980 | − | 1.95597i | 0.463469 | − | 0.0768377i | ||||
\(649\) | −2.75084 | + | 9.71412i | −0.107980 | + | 0.381313i | ||||
\(650\) | 12.5526i | 0.492355i | ||||||||
\(651\) | 0.834711 | + | 1.48420i | 0.0327149 | + | 0.0581703i | ||||
\(652\) | 40.0580 | − | 29.1038i | 1.56879 | − | 1.13979i | ||||
\(653\) | −16.5857 | + | 22.8283i | −0.649050 | + | 0.893340i | −0.999057 | − | 0.0434064i | \(-0.986179\pi\) |
0.350008 | + | 0.936747i | \(0.386179\pi\) | |||||||
\(654\) | 28.9351 | + | 13.2760i | 1.13145 | + | 0.519134i | ||||
\(655\) | −11.1069 | + | 3.60884i | −0.433981 | + | 0.141009i | ||||
\(656\) | −6.05859 | − | 4.40183i | −0.236548 | − | 0.171862i | ||||
\(657\) | −10.1896 | + | 8.76652i | −0.397535 | + | 0.342015i | ||||
\(658\) | 1.56674 | − | 4.82192i | 0.0610778 | − | 0.187978i | ||||
\(659\) | 28.6675 | 1.11673 | 0.558363 | − | 0.829596i | \(-0.311429\pi\) | ||||
0.558363 | + | 0.829596i | \(0.311429\pi\) | |||||||
\(660\) | 14.9956 | + | 1.16904i | 0.583703 | + | 0.0455046i | ||||
\(661\) | −8.42019 | −0.327507 | −0.163754 | − | 0.986501i | \(-0.552360\pi\) | ||||
−0.163754 | + | 0.986501i | \(0.552360\pi\) | |||||||
\(662\) | 0.768457 | − | 2.36507i | 0.0298669 | − | 0.0919209i | ||||
\(663\) | 0.0364466 | − | 0.312767i | 0.00141547 | − | 0.0121469i | ||||
\(664\) | 11.0352 | + | 8.01756i | 0.428250 | + | 0.311142i | ||||
\(665\) | 9.94082 | − | 3.22997i | 0.385488 | − | 0.125253i | ||||
\(666\) | −21.9305 | + | 9.17673i | −0.849789 | + | 0.355591i | ||||
\(667\) | −5.81590 | + | 8.00490i | −0.225193 | + | 0.309951i | ||||
\(668\) | 44.0787 | − | 32.0250i | 1.70545 | − | 1.23909i | ||||
\(669\) | −8.42906 | + | 4.74049i | −0.325886 | + | 0.183278i | ||||
\(670\) | 14.3676i | 0.555068i | ||||||||
\(671\) | 22.8565 | − | 17.9792i | 0.882365 | − | 0.694078i | ||||
\(672\) | −18.0648 | + | 19.6132i | −0.696864 | + | 0.756596i | ||||
\(673\) | −43.6567 | − | 14.1849i | −1.68284 | − | 0.546789i | −0.697383 | − | 0.716698i | \(-0.745653\pi\) |
−0.985460 | + | 0.169909i | \(0.945653\pi\) | |||||||
\(674\) | 34.0180 | + | 46.8218i | 1.31032 | + | 1.80351i | ||||
\(675\) | 4.99336 | − | 1.43748i | 0.192194 | − | 0.0553288i | ||||
\(676\) | −17.0868 | − | 52.5877i | −0.657184 | − | 2.02261i | ||||
\(677\) | −3.84028 | − | 11.8192i | −0.147594 | − | 0.454247i | 0.849742 | − | 0.527199i | \(-0.176758\pi\) |
−0.997335 | + | 0.0729523i | \(0.976758\pi\) | |||||||
\(678\) | −42.6850 | + | 8.57065i | −1.63931 | + | 0.329154i | ||||
\(679\) | −21.3125 | − | 29.3341i | −0.817898 | − | 1.12574i | ||||
\(680\) | −0.0393329 | − | 0.0127800i | −0.00150835 | − | 0.000490092i | ||||
\(681\) | 15.3711 | + | 14.1575i | 0.589021 | + | 0.542518i | ||||
\(682\) | −3.40479 | − | 0.964165i | −0.130376 | − | 0.0369198i | ||||
\(683\) | − | 29.7836i | − | 1.13964i | −0.821770 | − | 0.569819i | \(-0.807013\pi\) | ||
0.821770 | − | 0.569819i | \(-0.192987\pi\) | |||||||
\(684\) | −9.53369 | + | 40.3514i | −0.364530 | + | 1.54287i | ||||
\(685\) | −2.90074 | + | 2.10751i | −0.110832 | + | 0.0805239i | ||||
\(686\) | 25.2103 | − | 34.6990i | 0.962534 | − | 1.32481i | ||||
\(687\) | 7.43936 | − | 16.2141i | 0.283829 | − | 0.618605i | ||||
\(688\) | −6.31898 | + | 2.05316i | −0.240909 | + | 0.0782760i | ||||
\(689\) | −48.4367 | − | 35.1914i | −1.84529 | − | 1.34068i | ||||
\(690\) | 30.4370 | + | 3.54681i | 1.15872 | + | 0.135025i | ||||
\(691\) | 6.39147 | − | 19.6709i | 0.243143 | − | 0.748318i | −0.752793 | − | 0.658257i | \(-0.771294\pi\) |
0.995936 | − | 0.0900605i | \(-0.0287060\pi\) | |||||||
\(692\) | −46.2323 | −1.75749 | ||||||||
\(693\) | 9.58338 | − | 17.2149i | 0.364042 | − | 0.653938i | ||||
\(694\) | −6.28352 | −0.238519 | ||||||||
\(695\) | 1.56065 | − | 4.80318i | 0.0591987 | − | 0.182195i | ||||
\(696\) | −2.74761 | − | 0.320177i | −0.104148 | − | 0.0121363i | ||||
\(697\) | −0.0791955 | − | 0.0575389i | −0.00299974 | − | 0.00217944i | ||||
\(698\) | −53.8938 | + | 17.5111i | −2.03991 | + | 0.662807i | ||||
\(699\) | −0.362691 | + | 0.790485i | −0.0137182 | + | 0.0298989i | ||||
\(700\) | 3.04752 | − | 4.19455i | 0.115186 | − | 0.158539i | ||||
\(701\) | −8.11952 | + | 5.89918i | −0.306670 | + | 0.222809i | −0.730466 | − | 0.682949i | \(-0.760697\pi\) |
0.423796 | + | 0.905758i | \(0.360697\pi\) | |||||||
\(702\) | −54.0360 | + | 36.5302i | −2.03946 | + | 1.37874i | ||||
\(703\) | − | 19.4640i | − | 0.734099i | ||||||
\(704\) | −1.51326 | − | 39.5899i | −0.0570333 | − | 1.49210i | ||||
\(705\) | 1.51788 | + | 1.39804i | 0.0571665 | + | 0.0526533i | ||||
\(706\) | 54.3380 | + | 17.6555i | 2.04504 | + | 0.664473i | ||||
\(707\) | 4.62002 | + | 6.35891i | 0.173754 | + | 0.239151i | ||||
\(708\) | −13.5350 | + | 2.71766i | −0.508676 | + | 0.102136i | ||||
\(709\) | 7.88302 | + | 24.2614i | 0.296053 | + | 0.911157i | 0.982866 | + | 0.184323i | \(0.0590092\pi\) |
−0.686813 | + | 0.726834i | \(0.740991\pi\) | |||||||
\(710\) | −0.391900 | − | 1.20614i | −0.0147077 | − | 0.0452657i | ||||
\(711\) | −44.2338 | − | 26.8875i | −1.65890 | − | 1.00836i | ||||
\(712\) | −1.39538 | − | 1.92058i | −0.0522942 | − | 0.0719767i | ||||
\(713\) | −3.88720 | − | 1.26303i | −0.145577 | − | 0.0473007i | ||||
\(714\) | −0.155417 | + | 0.168739i | −0.00581634 | + | 0.00631489i | ||||
\(715\) | −18.1824 | + | 6.68584i | −0.679983 | + | 0.250036i | ||||
\(716\) | − | 37.2518i | − | 1.39216i | ||||||
\(717\) | 0.970478 | − | 0.545796i | 0.0362432 | − | 0.0203831i | ||||
\(718\) | −9.95251 | + | 7.23092i | −0.371424 | + | 0.269856i | ||||
\(719\) | −11.8237 | + | 16.2739i | −0.440949 | + | 0.606915i | −0.970423 | − | 0.241412i | \(-0.922390\pi\) |
0.529473 | + | 0.848327i | \(0.322390\pi\) | |||||||
\(720\) | −2.75735 | − | 6.58950i | −0.102760 | − | 0.245576i | ||||
\(721\) | 29.2045 | − | 9.48911i | 1.08763 | − | 0.353393i | ||||
\(722\) | −15.4083 | − | 11.1948i | −0.573438 | − | 0.416627i | ||||
\(723\) | 3.42665 | − | 29.4059i | 0.127438 | − | 1.09362i | ||||
\(724\) | −3.48587 | + | 10.7284i | −0.129552 | + | 0.398719i | ||||
\(725\) | −1.20190 | −0.0446376 | ||||||||
\(726\) | 11.1011 | + | 39.4108i | 0.412001 | + | 1.46267i | ||||
\(727\) | −22.2725 | −0.826043 | −0.413021 | − | 0.910721i | \(-0.635527\pi\) | ||||
−0.413021 | + | 0.910721i | \(0.635527\pi\) | |||||||
\(728\) | −4.74935 | + | 14.6170i | −0.176023 | + | 0.541742i | ||||
\(729\) | 20.7195 | + | 17.3119i | 0.767389 | + | 0.641181i | ||||
\(730\) | −7.78993 | − | 5.65972i | −0.288318 | − | 0.209476i | ||||
\(731\) | −0.0825991 | + | 0.0268381i | −0.00305504 | + | 0.000992642i | ||||
\(732\) | 36.1411 | + | 16.5823i | 1.33581 | + | 0.612900i | ||||
\(733\) | 18.1286 | − | 24.9519i | 0.669596 | − | 0.921620i | −0.330155 | − | 0.943927i | \(-0.607101\pi\) |
0.999751 | + | 0.0223067i | \(0.00710103\pi\) | |||||||
\(734\) | −40.3734 | + | 29.3330i | −1.49021 | + | 1.08270i | ||||
\(735\) | 2.61408 | + | 4.64810i | 0.0964219 | + | 0.171448i | ||||
\(736\) | − | 64.0031i | − | 2.35919i | ||||||
\(737\) | −20.8113 | + | 7.65254i | −0.766595 | + | 0.281885i | ||||
\(738\) | 1.66384 | + | 20.2089i | 0.0612469 | + | 0.743899i | ||||
\(739\) | 4.46928 | + | 1.45216i | 0.164405 | + | 0.0534184i | 0.390063 | − | 0.920788i | \(-0.372453\pi\) |
−0.225658 | + | 0.974207i | \(0.572453\pi\) | |||||||
\(740\) | −5.67496 | − | 7.81092i | −0.208616 | − | 0.287135i | ||||
\(741\) | −10.5128 | − | 52.3577i | −0.386197 | − | 1.92341i | ||||
\(742\) | 13.4789 | + | 41.4838i | 0.494826 | + | 1.52292i | ||||
\(743\) | −11.4594 | − | 35.2684i | −0.420404 | − | 1.29387i | −0.907327 | − | 0.420426i | \(-0.861881\pi\) |
0.486923 | − | 0.873445i | \(-0.338119\pi\) | |||||||
\(744\) | −0.224942 | − | 1.12030i | −0.00824678 | − | 0.0410721i | ||||
\(745\) | 1.00680 | + | 1.38575i | 0.0368864 | + | 0.0507698i | ||||
\(746\) | −5.45782 | − | 1.77335i | −0.199825 | − | 0.0649270i | ||||
\(747\) | 2.52694 | + | 30.6919i | 0.0924558 | + | 1.12296i | ||||
\(748\) | −0.0103235 | − | 0.270084i | −0.000377466 | − | 0.00987524i | ||||
\(749\) | 9.26094i | 0.338387i | ||||||||
\(750\) | 1.82461 | + | 3.24434i | 0.0666254 | + | 0.118467i | ||||
\(751\) | −40.1062 | + | 29.1389i | −1.46350 | + | 1.06329i | −0.481062 | + | 0.876686i | \(0.659749\pi\) |
−0.982435 | + | 0.186606i | \(0.940251\pi\) | |||||||
\(752\) | 1.66745 | − | 2.29505i | 0.0608057 | − | 0.0836918i | ||||
\(753\) | 21.2115 | + | 9.73227i | 0.772989 | + | 0.354664i | ||||
\(754\) | 14.3486 | − | 4.66215i | 0.522547 | − | 0.169786i | ||||
\(755\) | −3.32225 | − | 2.41375i | −0.120909 | − | 0.0878455i | ||||
\(756\) | 26.9253 | + | 0.912017i | 0.979265 | + | 0.0331697i | ||||
\(757\) | −3.05608 | + | 9.40565i | −0.111075 | + | 0.341854i | −0.991108 | − | 0.133058i | \(-0.957520\pi\) |
0.880033 | + | 0.474912i | \(0.157520\pi\) | |||||||
\(758\) | −56.8782 | −2.06591 | ||||||||
\(759\) | 11.0740 | + | 45.9769i | 0.401961 | + | 1.66886i | ||||
\(760\) | −7.01396 | −0.254423 | ||||||||
\(761\) | −7.88949 | + | 24.2814i | −0.285994 | + | 0.880198i | 0.700105 | + | 0.714040i | \(0.253136\pi\) |
−0.986099 | + | 0.166159i | \(0.946864\pi\) | |||||||
\(762\) | −6.66018 | + | 57.1545i | −0.241273 | + | 2.07049i | ||||
\(763\) | 13.7016 | + | 9.95479i | 0.496031 | + | 0.360388i | ||||
\(764\) | 37.8635 | − | 12.3026i | 1.36985 | − | 0.445092i | ||||
\(765\) | −0.0360430 | − | 0.0861353i | −0.00130314 | − | 0.00311423i | ||||
\(766\) | −19.3798 | + | 26.6740i | −0.700221 | + | 0.963772i | ||||
\(767\) | 14.3849 | − | 10.4513i | 0.519410 | − | 0.377373i | ||||
\(768\) | −3.22781 | + | 1.81531i | −0.116473 | + | 0.0655045i | ||||
\(769\) | − | 39.4758i | − | 1.42353i | −0.702416 | − | 0.711767i | \(-0.747895\pi\) | ||
0.702416 | − | 0.711767i | \(-0.252105\pi\) | |||||||
\(770\) | 13.5798 | + | 3.84552i | 0.489383 | + | 0.138583i | ||||
\(771\) | −0.282368 | + | 0.306571i | −0.0101692 | + | 0.0110409i | ||||
\(772\) | −7.05841 | − | 2.29342i | −0.254038 | − | 0.0825419i | ||||
\(773\) | 13.5974 | + | 18.7152i | 0.489065 | + | 0.673140i | 0.980215 | − | 0.197935i | \(-0.0634235\pi\) |
−0.491151 | + | 0.871075i | \(0.663423\pi\) | |||||||
\(774\) | 15.3730 | + | 9.34445i | 0.552569 | + | 0.335879i | ||||
\(775\) | −0.153421 | − | 0.472180i | −0.00551104 | − | 0.0169612i | ||||
\(776\) | 7.51874 | + | 23.1403i | 0.269907 | + | 0.830688i | ||||
\(777\) | −12.3996 | + | 2.48968i | −0.444832 | + | 0.0893168i | ||||
\(778\) | 3.40054 | + | 4.68044i | 0.121915 | + | 0.167802i | ||||
\(779\) | −15.7893 | − | 5.13025i | −0.565709 | − | 0.183810i | ||||
\(780\) | −19.4843 | − | 17.9461i | −0.697651 | − | 0.642572i | ||||
\(781\) | 1.53835 | − | 1.21009i | 0.0550466 | − | 0.0433003i | ||||
\(782\) | − | 0.550639i | − | 0.0196908i | ||||||
\(783\) | −3.49773 | − | 5.17391i | −0.124999 | − | 0.184900i | ||||
\(784\) | 5.93084 | − | 4.30901i | 0.211816 | − | 0.153893i | ||||
\(785\) | −11.3447 | + | 15.6147i | −0.404911 | + | 0.557312i | ||||
\(786\) | 18.1278 | − | 39.5096i | 0.646598 | − | 1.40926i | ||||
\(787\) | 12.3336 | − | 4.00742i | 0.439644 | − | 0.142849i | −0.0808275 | − | 0.996728i | \(-0.525756\pi\) |
0.520471 | + | 0.853879i | \(0.325756\pi\) | |||||||
\(788\) | 52.3406 | + | 38.0277i | 1.86456 | + | 1.35468i | ||||
\(789\) | −1.29967 | − | 0.151450i | −0.0462697 | − | 0.00539177i | ||||
\(790\) | 11.4587 | − | 35.2663i | 0.407683 | − | 1.25472i | ||||
\(791\) | −23.1612 | −0.823519 | ||||||||
\(792\) | −9.68578 | + | 8.99921i | −0.344169 | + | 0.319773i | ||||
\(793\) | −51.2149 | −1.81870 | ||||||||
\(794\) | −3.64567 | + | 11.2202i | −0.129380 | + | 0.398190i | ||||
\(795\) | −17.6342 | − | 2.05490i | −0.625421 | − | 0.0728799i | ||||
\(796\) | −24.2420 | − | 17.6128i | −0.859234 | − | 0.624270i | ||||
\(797\) | 24.3406 | − | 7.90875i | 0.862189 | − | 0.280142i | 0.155647 | − | 0.987813i | \(-0.450254\pi\) |
0.706543 | + | 0.707671i | \(0.250254\pi\) | |||||||
\(798\) | −16.2247 | + | 35.3617i | −0.574348 | + | 1.25179i | ||||
\(799\) | 0.0217962 | − | 0.0299999i | 0.000771095 | − | 0.00106132i | ||||
\(800\) | 6.28970 | − | 4.56974i | 0.222375 | − | 0.161565i | ||||
\(801\) | 1.23240 | − | 5.21611i | 0.0435445 | − | 0.184302i | ||||
\(802\) | − | 53.1303i | − | 1.87609i | ||||||
\(803\) | 4.04894 | − | 14.2982i | 0.142884 | − | 0.504571i | ||||
\(804\) | −22.3015 | − | 20.5408i | −0.786514 | − | 0.724419i | ||||
\(805\) | 15.5039 | + | 5.03752i | 0.546440 | + | 0.177549i | ||||
\(806\) | 3.66315 | + | 5.04190i | 0.129029 | + | 0.177593i | ||||
\(807\) | 41.9464 | − | 8.42234i | 1.47658 | − | 0.296481i | ||||
\(808\) | −1.62988 | − | 5.01625i | −0.0573389 | − | 0.176471i | ||||
\(809\) | 7.33409 | + | 22.5720i | 0.257853 | + | 0.793589i | 0.993254 | + | 0.115957i | \(0.0369936\pi\) |
−0.735401 | + | 0.677632i | \(0.763006\pi\) | |||||||
\(810\) | −8.65619 | + | 17.2961i | −0.304147 | + | 0.607722i | ||||
\(811\) | 25.8764 | + | 35.6158i | 0.908642 | + | 1.25064i | 0.967628 | + | 0.252380i | \(0.0812132\pi\) |
−0.0589862 | + | 0.998259i | \(0.518787\pi\) | |||||||
\(812\) | −5.92658 | − | 1.92566i | −0.207982 | − | 0.0675775i | ||||
\(813\) | −6.67792 | + | 7.25032i | −0.234205 | + | 0.254280i | ||||
\(814\) | 14.6248 | − | 21.8372i | 0.512600 | − | 0.765394i | ||||
\(815\) | 18.9108i | 0.662415i | ||||||||
\(816\) | −0.111879 | + | 0.0629207i | −0.00391656 | + | 0.00220267i | ||||
\(817\) | −11.9163 | + | 8.65767i | −0.416897 | + | 0.302893i | ||||
\(818\) | 2.45468 | − | 3.37857i | 0.0858257 | − | 0.118129i | ||||
\(819\) | −32.0098 | + | 13.3944i | −1.11851 | + | 0.468037i | ||||
\(820\) | −7.83203 | + | 2.54478i | −0.273506 | + | 0.0888676i | ||||
\(821\) | 23.8573 | + | 17.3334i | 0.832626 | + | 0.604938i | 0.920301 | − | 0.391211i | \(-0.127944\pi\) |
−0.0876748 | + | 0.996149i | \(0.527944\pi\) | |||||||
\(822\) | 1.54476 | − | 13.2564i | 0.0538796 | − | 0.462369i | ||||
\(823\) | 8.56184 | − | 26.3506i | 0.298447 | − | 0.918525i | −0.683595 | − | 0.729862i | \(-0.739584\pi\) |
0.982042 | − | 0.188663i | \(-0.0604155\pi\) | |||||||
\(824\) | −20.6058 | −0.717839 | ||||||||
\(825\) | −3.72757 | + | 4.37095i | −0.129777 | + | 0.152177i | ||||
\(826\) | −12.9540 | −0.450729 | ||||||||
\(827\) | −4.25666 | + | 13.1007i | −0.148019 | + | 0.455554i | −0.997387 | − | 0.0722463i | \(-0.976983\pi\) |
0.849368 | + | 0.527801i | \(0.176983\pi\) | |||||||
\(828\) | −49.0202 | + | 42.1739i | −1.70357 | + | 1.46565i | ||||
\(829\) | −6.39438 | − | 4.64579i | −0.222086 | − | 0.161355i | 0.471179 | − | 0.882038i | \(-0.343829\pi\) |
−0.693265 | + | 0.720683i | \(0.743829\pi\) | |||||||
\(830\) | −20.9806 | + | 6.81702i | −0.728248 | + | 0.236622i | ||||
\(831\) | 24.0032 | + | 11.0132i | 0.832663 | + | 0.382043i | ||||
\(832\) | −41.0125 | + | 56.4489i | −1.42185 | + | 1.95701i | ||||
\(833\) | 0.0775256 | − | 0.0563256i | 0.00268610 | − | 0.00195157i | ||||
\(834\) | 9.21495 | + | 16.3851i | 0.319088 | + | 0.567369i | ||||
\(835\) | 20.8089i | 0.720121i | ||||||||
\(836\) | −15.8196 | − | 43.0220i | −0.547133 | − | 1.48795i | ||||
\(837\) | 1.58614 | − | 2.03456i | 0.0548252 | − | 0.0703247i | ||||
\(838\) | −26.0687 | − | 8.47023i | −0.900528 | − | 0.292599i | ||||
\(839\) | −3.95639 | − | 5.44550i | −0.136590 | − | 0.187999i | 0.735243 | − | 0.677804i | \(-0.237068\pi\) |
−0.871832 | + | 0.489804i | \(0.837068\pi\) | |||||||
\(840\) | 0.897171 | + | 4.46825i | 0.0309553 | + | 0.154169i | ||||
\(841\) | −8.51510 | − | 26.2068i | −0.293624 | − | 0.903682i | ||||
\(842\) | 22.8665 | + | 70.3757i | 0.788030 | + | 2.42531i | ||||
\(843\) | 0.457170 | + | 2.27688i | 0.0157458 | + | 0.0784200i | ||||
\(844\) | 28.1894 | + | 38.7993i | 0.970318 | + | 1.33553i | ||||
\(845\) | 20.0846 | + | 6.52587i | 0.690930 | + | 0.224497i | ||||
\(846\) | −7.65530 | + | 0.630278i | −0.263195 | + | 0.0216694i | ||||
\(847\) | 1.66274 | + | 21.7185i | 0.0571325 | + | 0.746256i | ||||
\(848\) | 24.4058i | 0.838098i | ||||||||
\(849\) | −1.41361 | − | 2.51354i | −0.0485151 | − | 0.0862646i | ||||
\(850\) | 0.0541123 | − | 0.0393149i | 0.00185604 | − | 0.00134849i | ||||
\(851\) | 17.8431 | − | 24.5589i | 0.611652 | − | 0.841867i | ||||
\(852\) | 2.43247 | + | 1.11607i | 0.0833352 | + | 0.0382359i | ||||
\(853\) | 16.5336 | − | 5.37211i | 0.566101 | − | 0.183937i | −0.0119634 | − | 0.999928i | \(-0.503808\pi\) |
0.578065 | + | 0.815991i | \(0.303808\pi\) | |||||||
\(854\) | 30.1863 | + | 21.9316i | 1.03295 | + | 0.750484i | ||||
\(855\) | −10.3277 | − | 12.0042i | −0.353200 | − | 0.410536i | ||||
\(856\) | 1.92037 | − | 5.91029i | 0.0656369 | − | 0.202010i | ||||
\(857\) | −1.61379 | −0.0551259 | −0.0275630 | − | 0.999620i | \(-0.508775\pi\) | ||||
−0.0275630 | + | 0.999620i | \(0.508775\pi\) | |||||||
\(858\) | 27.5458 | − | 66.6407i | 0.940400 | − | 2.27508i | ||||
\(859\) | −7.55567 | −0.257796 | −0.128898 | − | 0.991658i | \(-0.541144\pi\) | ||||
−0.128898 | + | 0.991658i | \(0.541144\pi\) | |||||||
\(860\) | −2.25776 | + | 6.94866i | −0.0769888 | + | 0.236947i | ||||
\(861\) | −1.24859 | + | 10.7148i | −0.0425517 | + | 0.365159i | ||||
\(862\) | 45.8621 | + | 33.3207i | 1.56207 | + | 1.13491i | ||||
\(863\) | −37.9258 | + | 12.3228i | −1.29101 | + | 0.419475i | −0.872445 | − | 0.488712i | \(-0.837467\pi\) |
−0.418565 | + | 0.908187i | \(0.637467\pi\) | |||||||
\(864\) | 37.9757 | + | 13.7770i | 1.29196 | + | 0.468703i | ||||
\(865\) | 10.3787 | − | 14.2850i | 0.352885 | − | 0.485705i | ||||
\(866\) | 16.1509 | − | 11.7343i | 0.548830 | − | 0.398748i | ||||
\(867\) | 25.6631 | − | 14.4329i | 0.871564 | − | 0.490166i | ||||
\(868\) | − | 2.57413i | − | 0.0873716i | ||||||
\(869\) | 57.1861 | − | 2.18585i | 1.93991 | − | 0.0741500i | ||||
\(870\) | 3.03086 | − | 3.29065i | 0.102756 | − | 0.111564i | ||||
\(871\) | 37.1399 | + | 12.0675i | 1.25844 | + | 0.408891i | ||||
\(872\) | −6.68005 | − | 9.19430i | −0.226215 | − | 0.311358i | ||||
\(873\) | −28.5331 | + | 46.9410i | −0.965699 | + | 1.58871i | ||||
\(874\) | −28.8578 | − | 88.8151i | −0.976129 | − | 3.00421i | ||||
\(875\) | 0.611911 | + | 1.88327i | 0.0206864 | + | 0.0636661i | ||||
\(876\) | 19.9221 | − | 4.00011i | 0.673104 | − | 0.135151i | ||||
\(877\) | 22.3509 | + | 30.7634i | 0.754738 | + | 1.03881i | 0.997634 | + | 0.0687551i | \(0.0219027\pi\) |
−0.242896 | + | 0.970052i | \(0.578097\pi\) | |||||||
\(878\) | 15.3417 | + | 4.98481i | 0.517756 | + | 0.168229i | ||||
\(879\) | −13.3402 | − | 12.2870i | −0.449954 | − | 0.414431i | ||||
\(880\) | 6.56148 | + | 4.39435i | 0.221187 | + | 0.148134i | ||||
\(881\) | − | 35.8747i | − | 1.20865i | −0.796738 | − | 0.604324i | \(-0.793443\pi\) | ||
0.796738 | − | 0.604324i | \(-0.206557\pi\) | |||||||
\(882\) | −19.3178 | − | 4.56416i | −0.650465 | − | 0.153683i | ||||
\(883\) | −27.0229 | + | 19.6333i | −0.909394 | + | 0.660713i | −0.940861 | − | 0.338792i | \(-0.889982\pi\) |
0.0314677 | + | 0.999505i | \(0.489982\pi\) | |||||||
\(884\) | −0.279789 | + | 0.385096i | −0.00941032 | + | 0.0129522i | ||||
\(885\) | 2.19875 | − | 4.79217i | 0.0739102 | − | 0.161087i | ||||
\(886\) | −9.21028 | + | 2.99260i | −0.309425 | + | 0.100538i | ||||
\(887\) | 32.8038 | + | 23.8333i | 1.10144 | + | 0.800245i | 0.981295 | − | 0.192511i | \(-0.0616631\pi\) |
0.120148 | + | 0.992756i | \(0.461663\pi\) | |||||||
\(888\) | 8.42961 | + | 0.982297i | 0.282879 | + | 0.0329637i | ||||
\(889\) | −9.45944 | + | 29.1132i | −0.317259 | + | 0.976424i | ||||
\(890\) | 3.83940 | 0.128697 | ||||||||
\(891\) | −29.6637 | − | 3.32610i | −0.993772 | − | 0.111428i | ||||
\(892\) | 14.6190 | 0.489480 | ||||||||
\(893\) | 1.94338 | − | 5.98112i | 0.0650328 | − | 0.200151i | ||||
\(894\) | −6.33285 | − | 0.737963i | −0.211802 | − | 0.0246812i | ||||
\(895\) | 11.5102 | + | 8.36264i | 0.384743 | + | 0.279532i | ||||
\(896\) | 19.0629 | − | 6.19391i | 0.636846 | − | 0.206924i | ||||
\(897\) | 34.7328 | − | 75.7001i | 1.15969 | − | 2.52755i | ||||
\(898\) | 48.6481 | − | 66.9583i | 1.62341 | − | 2.23443i | ||||
\(899\) | −0.482757 | + | 0.350744i | −0.0161009 | + | 0.0116980i | ||||
\(900\) | −7.64448 | − | 1.80614i | −0.254816 | − | 0.0602046i | ||||
\(901\) | 0.319022i | 0.0106282i | ||||||||
\(902\) | −13.8597 | − | 17.6195i | −0.461477 | − | 0.586665i | ||||
\(903\) | 7.03961 | + | 6.48384i | 0.234263 | + | 0.215769i | ||||
\(904\) | 14.7814 | + | 4.80277i | 0.491622 | + | 0.159738i | ||||
\(905\) | −2.53236 | − | 3.48550i | −0.0841786 | − | 0.115862i | ||||
\(906\) | 14.9863 | − | 3.00907i | 0.497886 | − | 0.0999696i | ||||
\(907\) | 4.39617 | + | 13.5300i | 0.145972 | + | 0.449257i | 0.997135 | − | 0.0756458i | \(-0.0241018\pi\) |
−0.851162 | + | 0.524902i | \(0.824102\pi\) | |||||||
\(908\) | −9.76200 | − | 30.0443i | −0.323963 | − | 0.997056i | ||||
\(909\) | 6.18527 | − | 10.1757i | 0.205152 | − | 0.337505i | ||||
\(910\) | −14.6103 | − | 20.1094i | −0.484327 | − | 0.666619i | ||||
\(911\) | −7.30632 | − | 2.37397i | −0.242069 | − | 0.0786531i | 0.185470 | − | 0.982650i | \(-0.440619\pi\) |
−0.427539 | + | 0.903997i | \(0.640619\pi\) | |||||||
\(912\) | −14.7480 | + | 16.0121i | −0.488354 | + | 0.530214i | ||||
\(913\) | −21.0492 | − | 26.7593i | −0.696627 | − | 0.885605i | ||||
\(914\) | − | 48.2188i | − | 1.59493i | ||||||
\(915\) | −13.2370 | + | 7.44445i | −0.437601 | + | 0.246106i | ||||
\(916\) | −21.8171 | + | 15.8510i | −0.720856 | + | 0.523733i | ||||
\(917\) | 13.5928 | − | 18.7089i | 0.448875 | − | 0.617823i | ||||
\(918\) | 0.326717 | + | 0.118528i | 0.0107833 | + | 0.00391200i | ||||
\(919\) | 39.4844 | − | 12.8293i | 1.30247 | − | 0.423199i | 0.426031 | − | 0.904709i | \(-0.359912\pi\) |
0.876441 | + | 0.481510i | \(0.159912\pi\) | |||||||
\(920\) | −8.84992 | − | 6.42985i | −0.291773 | − | 0.211986i | ||||
\(921\) | −1.97102 | + | 16.9144i | −0.0649474 | + | 0.557348i | ||||
\(922\) | −7.23546 | + | 22.2685i | −0.238287 | + | 0.733373i | ||||
\(923\) | −3.44702 | −0.113460 | ||||||||
\(924\) | −25.3837 | + | 15.5809i | −0.835061 | + | 0.512575i | ||||
\(925\) | 3.68742 | 0.121241 | ||||||||
\(926\) | −4.34722 | + | 13.3794i | −0.142858 | + | 0.439673i | ||||
\(927\) | −30.3410 | − | 35.2664i | −0.996530 | − | 1.15830i | ||||
\(928\) | −7.55962 | − | 5.49238i | −0.248157 | − | 0.180296i | ||||
\(929\) | −25.9678 | + | 8.43744i | −0.851974 | + | 0.276823i | −0.702273 | − | 0.711908i | \(-0.747831\pi\) |
−0.149702 | + | 0.988731i | \(0.547831\pi\) | |||||||
\(930\) | 1.67965 | + | 0.770659i | 0.0550779 | + | 0.0252709i | ||||
\(931\) | 9.55255 | − | 13.1480i | 0.313072 | − | 0.430907i | ||||
\(932\) | 1.06365 | − | 0.772786i | 0.0348410 | − | 0.0253135i | ||||
\(933\) | −28.3820 | − | 50.4659i | −0.929183 | − | 1.65218i | ||||
\(934\) | 69.7903i | 2.28361i | ||||||||
\(935\) | 0.0857689 | + | 0.0574412i | 0.00280494 | + | 0.00187853i | ||||
\(936\) | 23.2060 | − | 1.91060i | 0.758512 | − | 0.0624500i | ||||
\(937\) | 32.9847 | + | 10.7174i | 1.07756 | + | 0.350122i | 0.793429 | − | 0.608663i | \(-0.208294\pi\) |
0.284135 | + | 0.958784i | \(0.408294\pi\) | |||||||
\(938\) | −16.7228 | − | 23.0169i | −0.546018 | − | 0.751529i | ||||
\(939\) | −3.23645 | − | 16.1188i | −0.105618 | − | 0.526016i | ||||
\(940\) | −0.963986 | − | 2.96684i | −0.0314418 | − | 0.0967678i | ||||
\(941\) | 8.45885 | + | 26.0337i | 0.275751 | + | 0.848673i | 0.989020 | + | 0.147783i | \(0.0472138\pi\) |
−0.713269 | + | 0.700890i | \(0.752786\pi\) | |||||||
\(942\) | −14.1427 | − | 70.4361i | −0.460795 | − | 2.29493i | ||||
\(943\) | −15.2192 | − | 20.9475i | −0.495607 | − | 0.682144i | ||||
\(944\) | −6.89338 | − | 2.23979i | −0.224360 | − | 0.0728991i | ||||
\(945\) | −6.32626 | + | 8.11475i | −0.205793 | + | 0.263973i | ||||
\(946\) | −19.8744 | + | 0.759668i | −0.646172 | + | 0.0246989i | ||||
\(947\) | 44.8877i | 1.45865i | 0.684166 | + | 0.729327i | \(0.260166\pi\) | ||||
−0.684166 | + | 0.729327i | \(0.739834\pi\) | |||||||
\(948\) | 38.3586 | + | 68.2053i | 1.24583 | + | 2.21521i | ||||
\(949\) | −21.1731 | + | 15.3832i | −0.687308 | + | 0.499358i | ||||
\(950\) | 6.66762 | − | 9.17719i | 0.216326 | − | 0.297747i | ||||
\(951\) | −3.89678 | − | 1.78793i | −0.126362 | − | 0.0579775i | ||||
\(952\) | 0.0778865 | − | 0.0253069i | 0.00252432 | − | 0.000820200i | ||||
\(953\) | 46.6386 | + | 33.8849i | 1.51077 | + | 1.09764i | 0.965833 | + | 0.259165i | \(0.0834475\pi\) |
0.544940 | + | 0.838475i | \(0.316553\pi\) | |||||||
\(954\) | 50.0945 | − | 43.0983i | 1.62187 | − | 1.39536i | ||||
\(955\) | −4.69866 | + | 14.4610i | −0.152045 | + | 0.467947i | ||||
\(956\) | −1.68315 | −0.0544371 | ||||||||
\(957\) | 6.38079 | + | 2.63749i | 0.206262 | + | 0.0852580i | ||||
\(958\) | −44.5109 | −1.43808 | ||||||||
\(959\) | 2.19401 | − | 6.75248i | 0.0708484 | − | 0.218049i | ||||
\(960\) | −2.39481 | + | 20.5512i | −0.0772923 | + | 0.663286i | ||||
\(961\) | 24.8801 | + | 18.0765i | 0.802584 | + | 0.583112i | ||||
\(962\) | −44.0213 | + | 14.3034i | −1.41930 | + | 0.461160i | ||||
\(963\) | 12.9430 | − | 5.41593i | 0.417081 | − | 0.174526i | ||||
\(964\) | −26.3053 | + | 36.2061i | −0.847237 | + | 1.16612i | ||||
\(965\) | 2.29317 | − | 1.66608i | 0.0738197 | − | 0.0536331i | ||||
\(966\) | −52.8884 | + | 29.7444i | −1.70166 | + | 0.957010i | ||||
\(967\) | − | 22.2716i | − | 0.716207i | −0.933682 | − | 0.358104i | \(-0.883423\pi\) | ||
0.933682 | − | 0.358104i | \(-0.116577\pi\) | |||||||
\(968\) | 3.44244 | − | 14.2054i | 0.110644 | − | 0.456580i | ||||
\(969\) | −0.192779 | + | 0.209304i | −0.00619297 | + | 0.00672380i | ||||
\(970\) | −37.4246 | − | 12.1600i | −1.20163 | − | 0.390434i | ||||
\(971\) | 13.3684 | + | 18.4000i | 0.429012 | + | 0.590485i | 0.967726 | − | 0.252004i | \(-0.0810896\pi\) |
−0.538714 | + | 0.842489i | \(0.681090\pi\) | |||||||
\(972\) | −14.4717 | − | 38.1638i | −0.464180 | − | 1.22411i | ||||
\(973\) | 3.09037 | + | 9.51118i | 0.0990727 | + | 0.304915i | ||||
\(974\) | −0.747469 | − | 2.30047i | −0.0239504 | − | 0.0737119i | ||||
\(975\) | 9.91907 | − | 1.99163i | 0.317664 | − | 0.0637832i | ||||
\(976\) | 12.2713 | + | 16.8900i | 0.392795 | + | 0.540636i | ||||
\(977\) | 23.0660 | + | 7.49460i | 0.737947 | + | 0.239774i | 0.653787 | − | 0.756679i | \(-0.273179\pi\) |
0.0841602 | + | 0.996452i | \(0.473179\pi\) | |||||||
\(978\) | −51.7751 | − | 47.6875i | −1.65559 | − | 1.52488i | ||||
\(979\) | 2.04496 | + | 5.56134i | 0.0653572 | + | 0.177741i | ||||
\(980\) | − | 8.06144i | − | 0.257513i | ||||||
\(981\) | 5.89979 | − | 24.9709i | 0.188366 | − | 0.797258i | ||||
\(982\) | −26.5705 | + | 19.3046i | −0.847900 | + | 0.616035i | ||||
\(983\) | −21.5454 | + | 29.6547i | −0.687192 | + | 0.945839i | −0.999992 | − | 0.00398035i | \(-0.998733\pi\) |
0.312800 | + | 0.949819i | \(0.398733\pi\) | |||||||
\(984\) | 3.01869 | − | 6.57922i | 0.0962322 | − | 0.209738i | ||||
\(985\) | −23.4999 | + | 7.63557i | −0.748768 | + | 0.243289i | ||||
\(986\) | −0.0650378 | − | 0.0472527i | −0.00207123 | − | 0.00150483i | ||||
\(987\) | −4.05886 | − | 0.472976i | −0.129195 | − | 0.0150550i | ||||
\(988\) | −24.9464 | + | 76.7770i | −0.793650 | + | 2.44260i | ||||
\(989\) | −22.9721 | −0.730470 | ||||||||
\(990\) | −2.56722 | − | 21.2279i | −0.0815917 | − | 0.674666i | ||||
\(991\) | −15.4812 | −0.491778 | −0.245889 | − | 0.969298i | \(-0.579080\pi\) | ||||
−0.245889 | + | 0.969298i | \(0.579080\pi\) | |||||||
\(992\) | 1.19277 | − | 3.67097i | 0.0378705 | − | 0.116553i | ||||
\(993\) | −1.99080 | − | 0.231986i | −0.0631760 | − | 0.00736186i | ||||
\(994\) | 2.03168 | + | 1.47610i | 0.0644411 | + | 0.0468192i | ||||
\(995\) | 10.8841 | − | 3.53647i | 0.345051 | − | 0.112114i | ||||
\(996\) | 19.4138 | − | 42.3124i | 0.615150 | − | 1.34072i | ||||
\(997\) | 10.4160 | − | 14.3364i | 0.329878 | − | 0.454039i | −0.611573 | − | 0.791188i | \(-0.709463\pi\) |
0.941451 | + | 0.337150i | \(0.109463\pi\) | |||||||
\(998\) | −19.5698 | + | 14.2183i | −0.619471 | + | 0.450072i | ||||
\(999\) | 10.7310 | + | 15.8734i | 0.339513 | + | 0.502213i |
(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 | 165.2.p.b.101.2 | ✓ | 48 | |
3.2 | odd | 2 | inner | 165.2.p.b.101.11 | yes | 48 | |
5.2 | odd | 4 | 825.2.bs.h.299.1 | 48 | |||
5.3 | odd | 4 | 825.2.bs.g.299.12 | 48 | |||
5.4 | even | 2 | 825.2.bi.e.101.11 | 48 | |||
11.6 | odd | 10 | inner | 165.2.p.b.116.11 | yes | 48 | |
15.2 | even | 4 | 825.2.bs.g.299.11 | 48 | |||
15.8 | even | 4 | 825.2.bs.h.299.2 | 48 | |||
15.14 | odd | 2 | 825.2.bi.e.101.2 | 48 | |||
33.17 | even | 10 | inner | 165.2.p.b.116.2 | yes | 48 | |
55.17 | even | 20 | 825.2.bs.h.149.2 | 48 | |||
55.28 | even | 20 | 825.2.bs.g.149.11 | 48 | |||
55.39 | odd | 10 | 825.2.bi.e.776.2 | 48 | |||
165.17 | odd | 20 | 825.2.bs.g.149.12 | 48 | |||
165.83 | odd | 20 | 825.2.bs.h.149.1 | 48 | |||
165.149 | even | 10 | 825.2.bi.e.776.11 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.p.b.101.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
165.2.p.b.101.11 | yes | 48 | 3.2 | odd | 2 | inner | |
165.2.p.b.116.2 | yes | 48 | 33.17 | even | 10 | inner | |
165.2.p.b.116.11 | yes | 48 | 11.6 | odd | 10 | inner | |
825.2.bi.e.101.2 | 48 | 15.14 | odd | 2 | |||
825.2.bi.e.101.11 | 48 | 5.4 | even | 2 | |||
825.2.bi.e.776.2 | 48 | 55.39 | odd | 10 | |||
825.2.bi.e.776.11 | 48 | 165.149 | even | 10 | |||
825.2.bs.g.149.11 | 48 | 55.28 | even | 20 | |||
825.2.bs.g.149.12 | 48 | 165.17 | odd | 20 | |||
825.2.bs.g.299.11 | 48 | 15.2 | even | 4 | |||
825.2.bs.g.299.12 | 48 | 5.3 | odd | 4 | |||
825.2.bs.h.149.1 | 48 | 165.83 | odd | 20 | |||
825.2.bs.h.149.2 | 48 | 55.17 | even | 20 | |||
825.2.bs.h.299.1 | 48 | 5.2 | odd | 4 | |||
825.2.bs.h.299.2 | 48 | 15.8 | even | 4 |