Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(37,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bq (of order \(12\), 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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.1 | ||
Character | \(\chi\) | \(=\) | 336.37 |
Dual form | 336.2.bq.b.109.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39055 | − | 0.257600i | −0.983271 | − | 0.182151i | ||||
\(3\) | 0.965926 | + | 0.258819i | 0.557678 | + | 0.149429i | ||||
\(4\) | 1.86728 | + | 0.716415i | 0.933642 | + | 0.358207i | ||||
\(5\) | −0.588887 | + | 0.157792i | −0.263358 | + | 0.0705666i | −0.388082 | − | 0.921625i | \(-0.626862\pi\) |
0.124724 | + | 0.992192i | \(0.460196\pi\) | |||||||
\(6\) | −1.27650 | − | 0.608725i | −0.521129 | − | 0.248511i | ||||
\(7\) | 2.58295 | − | 0.573024i | 0.976264 | − | 0.216583i | ||||
\(8\) | −2.41201 | − | 1.47723i | −0.852775 | − | 0.522279i | ||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 0.859526 | − | 0.0677205i | 0.271806 | − | 0.0214151i | ||||
\(11\) | 0.0594702 | − | 0.221946i | 0.0179309 | − | 0.0669191i | −0.956381 | − | 0.292123i | \(-0.905638\pi\) |
0.974312 | + | 0.225204i | \(0.0723049\pi\) | |||||||
\(12\) | 1.61824 | + | 1.17529i | 0.467145 | + | 0.339278i | ||||
\(13\) | 1.86885 | − | 1.86885i | 0.518325 | − | 0.518325i | −0.398739 | − | 0.917064i | \(-0.630552\pi\) |
0.917064 | + | 0.398739i | \(0.130552\pi\) | |||||||
\(14\) | −3.73935 | + | 0.131451i | −0.999383 | + | 0.0351318i | ||||
\(15\) | −0.609660 | −0.157414 | ||||||||
\(16\) | 2.97350 | + | 2.67550i | 0.743375 | + | 0.668875i | ||||
\(17\) | 1.70915 | + | 2.96034i | 0.414530 | + | 0.717987i | 0.995379 | − | 0.0960241i | \(-0.0306126\pi\) |
−0.580849 | + | 0.814011i | \(0.697279\pi\) | |||||||
\(18\) | −1.07546 | − | 0.918366i | −0.253487 | − | 0.216461i | ||||
\(19\) | −0.417729 | − | 1.55898i | −0.0958335 | − | 0.357656i | 0.901311 | − | 0.433173i | \(-0.142606\pi\) |
−0.997145 | + | 0.0755170i | \(0.975939\pi\) | |||||||
\(20\) | −1.21266 | − | 0.127245i | −0.271160 | − | 0.0284529i | ||||
\(21\) | 2.64325 | + | 0.115019i | 0.576804 | + | 0.0250992i | ||||
\(22\) | −0.139870 | + | 0.293308i | −0.0298203 | + | 0.0625335i | ||||
\(23\) | 2.65039 | + | 1.53020i | 0.552645 | + | 0.319069i | 0.750188 | − | 0.661225i | \(-0.229963\pi\) |
−0.197543 | + | 0.980294i | \(0.563296\pi\) | |||||||
\(24\) | −1.94749 | − | 2.05117i | −0.397530 | − | 0.418693i | ||||
\(25\) | −4.00824 | + | 2.31416i | −0.801648 | + | 0.462831i | ||||
\(26\) | −3.08015 | + | 2.11732i | −0.604067 | + | 0.415240i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 5.23363 | + | 0.780467i | 0.989063 | + | 0.147494i | ||||
\(29\) | 4.50223 | − | 4.50223i | 0.836043 | − | 0.836043i | −0.152292 | − | 0.988335i | \(-0.548666\pi\) |
0.988335 | + | 0.152292i | \(0.0486655\pi\) | |||||||
\(30\) | 0.847766 | + | 0.157049i | 0.154780 | + | 0.0286730i | ||||
\(31\) | 2.55841 | + | 4.43129i | 0.459504 | + | 0.795884i | 0.998935 | − | 0.0461461i | \(-0.0146940\pi\) |
−0.539431 | + | 0.842030i | \(0.681361\pi\) | |||||||
\(32\) | −3.44560 | − | 4.48640i | −0.609102 | − | 0.793092i | ||||
\(33\) | 0.114888 | − | 0.198991i | 0.0199994 | − | 0.0346399i | ||||
\(34\) | −1.61408 | − | 4.55679i | −0.276813 | − | 0.781483i | ||||
\(35\) | −1.43065 | + | 0.745014i | −0.241824 | + | 0.125930i | ||||
\(36\) | 1.25891 | + | 1.55408i | 0.209818 | + | 0.259013i | ||||
\(37\) | 5.51046 | − | 1.47652i | 0.905913 | − | 0.242739i | 0.224359 | − | 0.974507i | \(-0.427971\pi\) |
0.681554 | + | 0.731768i | \(0.261304\pi\) | |||||||
\(38\) | 0.179279 | + | 2.27546i | 0.0290830 | + | 0.369128i | ||||
\(39\) | 2.28886 | − | 1.32147i | 0.366511 | − | 0.211605i | ||||
\(40\) | 1.65350 | + | 0.489324i | 0.261441 | + | 0.0773689i | ||||
\(41\) | − | 6.64364i | − | 1.03756i | −0.854907 | − | 0.518781i | \(-0.826386\pi\) | ||
0.854907 | − | 0.518781i | \(-0.173614\pi\) | |||||||
\(42\) | −3.64595 | − | 0.840842i | −0.562583 | − | 0.129745i | ||||
\(43\) | 1.27101 | + | 1.27101i | 0.193827 | + | 0.193827i | 0.797348 | − | 0.603520i | \(-0.206236\pi\) |
−0.603520 | + | 0.797348i | \(0.706236\pi\) | |||||||
\(44\) | 0.270053 | − | 0.371830i | 0.0407120 | − | 0.0560555i | ||||
\(45\) | −0.588887 | − | 0.157792i | −0.0877860 | − | 0.0235222i | ||||
\(46\) | −3.29133 | − | 2.81057i | −0.485280 | − | 0.414396i | ||||
\(47\) | −3.46555 | + | 6.00251i | −0.505503 | + | 0.875557i | 0.494477 | + | 0.869191i | \(0.335360\pi\) |
−0.999980 | + | 0.00636583i | \(0.997974\pi\) | |||||||
\(48\) | 2.17971 | + | 3.35393i | 0.314614 | + | 0.484099i | ||||
\(49\) | 6.34329 | − | 2.96019i | 0.906184 | − | 0.422884i | ||||
\(50\) | 6.16980 | − | 2.18544i | 0.872542 | − | 0.309068i | ||||
\(51\) | 0.884722 | + | 3.30183i | 0.123886 | + | 0.462348i | ||||
\(52\) | 4.82854 | − | 2.15080i | 0.669598 | − | 0.298262i | ||||
\(53\) | 0.876319 | − | 3.27047i | 0.120372 | − | 0.449233i | −0.879261 | − | 0.476341i | \(-0.841963\pi\) |
0.999633 | + | 0.0271073i | \(0.00862959\pi\) | |||||||
\(54\) | −0.801120 | − | 1.16542i | −0.109019 | − | 0.158594i | ||||
\(55\) | 0.140085i | 0.0188890i | ||||||||
\(56\) | −7.07660 | − | 2.43347i | −0.945650 | − | 0.325186i | ||||
\(57\) | − | 1.61398i | − | 0.213777i | ||||||
\(58\) | −7.42037 | + | 5.10082i | −0.974343 | + | 0.669771i | ||||
\(59\) | −1.87894 | + | 7.01230i | −0.244617 | + | 0.912924i | 0.728958 | + | 0.684558i | \(0.240005\pi\) |
−0.973575 | + | 0.228366i | \(0.926662\pi\) | |||||||
\(60\) | −1.13841 | − | 0.436770i | −0.146968 | − | 0.0563867i | ||||
\(61\) | −1.93459 | − | 7.21998i | −0.247699 | − | 0.924424i | −0.972008 | − | 0.234949i | \(-0.924508\pi\) |
0.724309 | − | 0.689475i | \(-0.242159\pi\) | |||||||
\(62\) | −2.41610 | − | 6.82100i | −0.306845 | − | 0.866268i | ||||
\(63\) | 2.52341 | + | 0.795223i | 0.317920 | + | 0.100189i | ||||
\(64\) | 3.63560 | + | 7.12618i | 0.454450 | + | 0.890772i | ||||
\(65\) | −0.805651 | + | 1.39543i | −0.0999287 | + | 0.173082i | ||||
\(66\) | −0.211018 | + | 0.247113i | −0.0259745 | + | 0.0304175i | ||||
\(67\) | −14.2395 | − | 3.81546i | −1.73963 | − | 0.466132i | −0.757265 | − | 0.653108i | \(-0.773465\pi\) |
−0.982365 | + | 0.186976i | \(0.940131\pi\) | |||||||
\(68\) | 1.07064 | + | 6.75225i | 0.129834 | + | 0.818831i | ||||
\(69\) | 2.16403 | + | 2.16403i | 0.260519 | + | 0.260519i | ||||
\(70\) | 2.18131 | − | 0.667448i | 0.260716 | − | 0.0797753i | ||||
\(71\) | − | 3.66497i | − | 0.434952i | −0.976066 | − | 0.217476i | \(-0.930218\pi\) | ||
0.976066 | − | 0.217476i | \(-0.0697824\pi\) | |||||||
\(72\) | −1.35025 | − | 2.48532i | −0.159128 | − | 0.292898i | ||||
\(73\) | −11.2389 | + | 6.48880i | −1.31542 | + | 0.759456i | −0.982988 | − | 0.183672i | \(-0.941202\pi\) |
−0.332430 | + | 0.943128i | \(0.607868\pi\) | |||||||
\(74\) | −8.04294 | + | 0.633689i | −0.934973 | + | 0.0736648i | ||||
\(75\) | −4.47061 | + | 1.19790i | −0.516221 | + | 0.138321i | ||||
\(76\) | 0.336862 | − | 3.21033i | 0.0386407 | − | 0.368251i | ||||
\(77\) | 0.0264285 | − | 0.607353i | 0.00301180 | − | 0.0692143i | ||||
\(78\) | −3.52320 | + | 1.24797i | −0.398924 | + | 0.141305i | ||||
\(79\) | −4.80570 | + | 8.32371i | −0.540683 | + | 0.936491i | 0.458182 | + | 0.888859i | \(0.348501\pi\) |
−0.998865 | + | 0.0476323i | \(0.984832\pi\) | |||||||
\(80\) | −2.17323 | − | 1.10637i | −0.242974 | − | 0.123696i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −1.71140 | + | 9.23835i | −0.188993 | + | 1.02020i | ||||
\(83\) | −8.15769 | + | 8.15769i | −0.895423 | + | 0.895423i | −0.995027 | − | 0.0996045i | \(-0.968242\pi\) |
0.0996045 | + | 0.995027i | \(0.468242\pi\) | |||||||
\(84\) | 4.85330 | + | 2.10844i | 0.529538 | + | 0.230049i | ||||
\(85\) | −1.47361 | − | 1.47361i | −0.159836 | − | 0.159836i | ||||
\(86\) | −1.44000 | − | 2.09482i | −0.155279 | − | 0.225890i | ||||
\(87\) | 5.51408 | − | 3.18356i | 0.591172 | − | 0.341313i | ||||
\(88\) | −0.471307 | + | 0.447485i | −0.0502415 | + | 0.0477020i | ||||
\(89\) | −10.9782 | − | 6.33826i | −1.16369 | − | 0.671854i | −0.211501 | − | 0.977378i | \(-0.567835\pi\) |
−0.952184 | + | 0.305524i | \(0.901169\pi\) | |||||||
\(90\) | 0.778232 | + | 0.371115i | 0.0820328 | + | 0.0391190i | ||||
\(91\) | 3.75625 | − | 5.89804i | 0.393762 | − | 0.618282i | ||||
\(92\) | 3.85277 | + | 4.75610i | 0.401679 | + | 0.495858i | ||||
\(93\) | 1.32433 | + | 4.94247i | 0.137327 | + | 0.512510i | ||||
\(94\) | 6.36529 | − | 7.45409i | 0.656530 | − | 0.768831i | ||||
\(95\) | 0.491990 | + | 0.852151i | 0.0504771 | + | 0.0874288i | ||||
\(96\) | −2.16703 | − | 5.22532i | −0.221172 | − | 0.533307i | ||||
\(97\) | −11.7203 | −1.19001 | −0.595007 | − | 0.803720i | \(-0.702851\pi\) | ||||
−0.595007 | + | 0.803720i | \(0.702851\pi\) | |||||||
\(98\) | −9.58323 | + | 2.48227i | −0.968053 | + | 0.250747i | ||||
\(99\) | 0.162476 | − | 0.162476i | 0.0163294 | − | 0.0163294i | ||||
\(100\) | −9.14242 | + | 1.44963i | −0.914242 | + | 0.144963i | ||||
\(101\) | 2.50376 | − | 9.34415i | 0.249133 | − | 0.929778i | −0.722127 | − | 0.691760i | \(-0.756836\pi\) |
0.971261 | − | 0.238018i | \(-0.0764977\pi\) | |||||||
\(102\) | −0.379702 | − | 4.81928i | −0.0375961 | − | 0.477179i | ||||
\(103\) | −2.61757 | − | 1.51126i | −0.257917 | − | 0.148908i | 0.365467 | − | 0.930824i | \(-0.380909\pi\) |
−0.623384 | + | 0.781916i | \(0.714243\pi\) | |||||||
\(104\) | −7.26839 | + | 1.74697i | −0.712725 | + | 0.171304i | ||||
\(105\) | −1.57472 | + | 0.349350i | −0.153677 | + | 0.0340931i | ||||
\(106\) | −2.06104 | + | 4.32202i | −0.200186 | + | 0.419792i | ||||
\(107\) | −6.45081 | + | 1.72849i | −0.623623 | + | 0.167099i | −0.556774 | − | 0.830664i | \(-0.687961\pi\) |
−0.0668490 | + | 0.997763i | \(0.521295\pi\) | |||||||
\(108\) | 0.813787 | + | 1.82695i | 0.0783067 | + | 0.175798i | ||||
\(109\) | −14.2138 | − | 3.80856i | −1.36143 | − | 0.364794i | −0.497089 | − | 0.867699i | \(-0.665598\pi\) |
−0.864342 | + | 0.502905i | \(0.832264\pi\) | |||||||
\(110\) | 0.0360859 | − | 0.194795i | 0.00344065 | − | 0.0185730i | ||||
\(111\) | 5.70484 | 0.541480 | ||||||||
\(112\) | 9.21353 | + | 5.20680i | 0.870597 | + | 0.491997i | ||||
\(113\) | 7.65867 | 0.720467 | 0.360234 | − | 0.932862i | \(-0.382697\pi\) | ||||
0.360234 | + | 0.932862i | \(0.382697\pi\) | |||||||
\(114\) | −0.415762 | + | 2.24433i | −0.0389397 | + | 0.210200i | ||||
\(115\) | −1.80223 | − | 0.482907i | −0.168059 | − | 0.0450313i | ||||
\(116\) | 11.6324 | − | 5.18148i | 1.08004 | − | 0.481088i | ||||
\(117\) | 2.55289 | − | 0.684046i | 0.236015 | − | 0.0632400i | ||||
\(118\) | 4.41914 | − | 9.26698i | 0.406815 | − | 0.853094i | ||||
\(119\) | 6.11100 | + | 6.66703i | 0.560195 | + | 0.611165i | ||||
\(120\) | 1.47051 | + | 0.900607i | 0.134238 | + | 0.0822138i | ||||
\(121\) | 9.48056 | + | 5.47360i | 0.861869 | + | 0.497600i | ||||
\(122\) | 0.830280 | + | 10.5381i | 0.0751700 | + | 0.954077i | ||||
\(123\) | 1.71950 | − | 6.41726i | 0.155042 | − | 0.578625i | ||||
\(124\) | 1.60263 | + | 10.1074i | 0.143920 | + | 0.907668i | ||||
\(125\) | 4.15072 | − | 4.15072i | 0.371251 | − | 0.371251i | ||||
\(126\) | −3.30410 | − | 1.75583i | −0.294352 | − | 0.156422i | ||||
\(127\) | −7.49596 | −0.665159 | −0.332580 | − | 0.943075i | \(-0.607919\pi\) | ||||
−0.332580 | + | 0.943075i | \(0.607919\pi\) | |||||||
\(128\) | −3.21979 | − | 10.8459i | −0.284592 | − | 0.958649i | ||||
\(129\) | 0.898740 | + | 1.55666i | 0.0791296 | + | 0.137057i | ||||
\(130\) | 1.47976 | − | 1.73288i | 0.129784 | − | 0.151984i | ||||
\(131\) | 1.32746 | + | 4.95415i | 0.115981 | + | 0.432846i | 0.999358 | − | 0.0358158i | \(-0.0114029\pi\) |
−0.883378 | + | 0.468662i | \(0.844736\pi\) | |||||||
\(132\) | 0.357088 | − | 0.289266i | 0.0310805 | − | 0.0251773i | ||||
\(133\) | −1.97231 | − | 3.78741i | −0.171021 | − | 0.328410i | ||||
\(134\) | 18.8179 | + | 8.97370i | 1.62562 | + | 0.775209i | ||||
\(135\) | −0.527981 | − | 0.304830i | −0.0454414 | − | 0.0262356i | ||||
\(136\) | 0.250598 | − | 9.66517i | 0.0214886 | − | 0.828782i | ||||
\(137\) | 5.55639 | − | 3.20798i | 0.474714 | − | 0.274076i | −0.243497 | − | 0.969902i | \(-0.578295\pi\) |
0.718211 | + | 0.695825i | \(0.244961\pi\) | |||||||
\(138\) | −2.45175 | − | 3.56666i | −0.208707 | − | 0.303615i | ||||
\(139\) | 1.46518 | + | 1.46518i | 0.124275 | + | 0.124275i | 0.766509 | − | 0.642234i | \(-0.221992\pi\) |
−0.642234 | + | 0.766509i | \(0.721992\pi\) | |||||||
\(140\) | −3.20516 | + | 0.366216i | −0.270886 | + | 0.0309509i | ||||
\(141\) | −4.90103 | + | 4.90103i | −0.412741 | + | 0.412741i | ||||
\(142\) | −0.944098 | + | 5.09634i | −0.0792270 | + | 0.427676i | ||||
\(143\) | −0.303642 | − | 0.525923i | −0.0253918 | − | 0.0439799i | ||||
\(144\) | 1.23738 | + | 3.80380i | 0.103115 | + | 0.316983i | ||||
\(145\) | −1.94089 | + | 3.36172i | −0.161182 | + | 0.279175i | ||||
\(146\) | 17.2999 | − | 6.12788i | 1.43175 | − | 0.507147i | ||||
\(147\) | 6.89330 | − | 1.21756i | 0.568550 | − | 0.100422i | ||||
\(148\) | 11.3474 | + | 1.19069i | 0.932750 | + | 0.0978738i | ||||
\(149\) | 20.8918 | − | 5.59793i | 1.71152 | − | 0.458600i | 0.735724 | − | 0.677282i | \(-0.236842\pi\) |
0.975796 | + | 0.218681i | \(0.0701755\pi\) | |||||||
\(150\) | 6.52520 | − | 0.514109i | 0.532781 | − | 0.0419768i | ||||
\(151\) | 15.9876 | − | 9.23046i | 1.30105 | − | 0.751164i | 0.320469 | − | 0.947259i | \(-0.396160\pi\) |
0.980585 | + | 0.196095i | \(0.0628262\pi\) | |||||||
\(152\) | −1.29541 | + | 4.37737i | −0.105071 | + | 0.355051i | ||||
\(153\) | 3.41830i | 0.276353i | ||||||||
\(154\) | −0.193205 | + | 0.837749i | −0.0155689 | + | 0.0675078i | ||||
\(155\) | −2.20583 | − | 2.20583i | −0.177177 | − | 0.177177i | ||||
\(156\) | 5.22068 | − | 0.827794i | 0.417989 | − | 0.0662766i | ||||
\(157\) | −4.18729 | − | 1.12198i | −0.334182 | − | 0.0895437i | 0.0878263 | − | 0.996136i | \(-0.472008\pi\) |
−0.422008 | + | 0.906592i | \(0.638675\pi\) | |||||||
\(158\) | 8.82678 | − | 10.3366i | 0.702221 | − | 0.822338i | ||||
\(159\) | 1.69292 | − | 2.93222i | 0.134257 | − | 0.232540i | ||||
\(160\) | 2.73699 | + | 2.09830i | 0.216378 | + | 0.165885i | ||||
\(161\) | 7.72267 | + | 2.43371i | 0.608632 | + | 0.191803i | ||||
\(162\) | −0.472189 | − | 1.33306i | −0.0370987 | − | 0.104735i | ||||
\(163\) | −4.86068 | − | 18.1403i | −0.380718 | − | 1.42086i | −0.844808 | − | 0.535070i | \(-0.820285\pi\) |
0.464090 | − | 0.885788i | \(-0.346381\pi\) | |||||||
\(164\) | 4.75960 | − | 12.4056i | 0.371663 | − | 0.968712i | ||||
\(165\) | −0.0362566 | + | 0.135311i | −0.00282257 | + | 0.0105340i | ||||
\(166\) | 13.4451 | − | 9.24229i | 1.04354 | − | 0.717341i | ||||
\(167\) | 20.7942i | 1.60910i | 0.593882 | + | 0.804552i | \(0.297594\pi\) | ||||
−0.593882 | + | 0.804552i | \(0.702406\pi\) | |||||||
\(168\) | −6.20564 | − | 4.18211i | −0.478776 | − | 0.322657i | ||||
\(169\) | 6.01482i | 0.462678i | ||||||||
\(170\) | 1.66954 | + | 2.42874i | 0.128048 | + | 0.186276i | ||||
\(171\) | 0.417729 | − | 1.55898i | 0.0319445 | − | 0.119219i | ||||
\(172\) | 1.46277 | + | 3.28391i | 0.111535 | + | 0.250396i | ||||
\(173\) | 4.58916 | + | 17.1270i | 0.348907 | + | 1.30214i | 0.887981 | + | 0.459880i | \(0.152108\pi\) |
−0.539074 | + | 0.842259i | \(0.681226\pi\) | |||||||
\(174\) | −8.48772 | + | 3.00648i | −0.643452 | + | 0.227921i | ||||
\(175\) | −9.02702 | + | 8.27417i | −0.682379 | + | 0.625469i | ||||
\(176\) | 0.770650 | − | 0.500843i | 0.0580899 | − | 0.0377525i | ||||
\(177\) | −3.62984 | + | 6.28706i | −0.272835 | + | 0.472564i | ||||
\(178\) | 13.6330 | + | 11.6417i | 1.02184 | + | 0.872581i | ||||
\(179\) | −11.0969 | − | 2.97340i | −0.829419 | − | 0.222242i | −0.180959 | − | 0.983491i | \(-0.557920\pi\) |
−0.648460 | + | 0.761249i | \(0.724587\pi\) | |||||||
\(180\) | −0.986574 | − | 0.716529i | −0.0735349 | − | 0.0534069i | ||||
\(181\) | −13.9231 | − | 13.9231i | −1.03490 | − | 1.03490i | −0.999369 | − | 0.0355297i | \(-0.988688\pi\) |
−0.0355297 | − | 0.999369i | \(-0.511312\pi\) | |||||||
\(182\) | −6.74261 | + | 7.23393i | −0.499795 | + | 0.536215i | ||||
\(183\) | − | 7.47468i | − | 0.552544i | ||||||
\(184\) | −4.13231 | − | 7.60610i | −0.304638 | − | 0.560729i | ||||
\(185\) | −3.01205 | + | 1.73901i | −0.221450 | + | 0.127854i | ||||
\(186\) | −0.568371 | − | 7.21392i | −0.0416750 | − | 0.528950i | ||||
\(187\) | 0.758678 | − | 0.203287i | 0.0554800 | − | 0.0148658i | ||||
\(188\) | −10.7715 | + | 8.72562i | −0.785590 | + | 0.636382i | ||||
\(189\) | 2.23161 | + | 1.42123i | 0.162326 | + | 0.103380i | ||||
\(190\) | −0.464624 | − | 1.31170i | −0.0337074 | − | 0.0951606i | ||||
\(191\) | 1.24159 | − | 2.15049i | 0.0898381 | − | 0.155604i | −0.817604 | − | 0.575780i | \(-0.804698\pi\) |
0.907443 | + | 0.420176i | \(0.138032\pi\) | |||||||
\(192\) | 1.66733 | + | 7.82432i | 0.120329 | + | 0.564672i | ||||
\(193\) | 0.637380 | + | 1.10397i | 0.0458796 | + | 0.0794658i | 0.888053 | − | 0.459741i | \(-0.152058\pi\) |
−0.842174 | + | 0.539206i | \(0.818724\pi\) | |||||||
\(194\) | 16.2977 | + | 3.01915i | 1.17011 | + | 0.216762i | ||||
\(195\) | −1.13936 | + | 1.13936i | −0.0815914 | + | 0.0815914i | ||||
\(196\) | 13.9654 | − | 0.983084i | 0.997532 | − | 0.0702203i | ||||
\(197\) | −17.0554 | − | 17.0554i | −1.21515 | − | 1.21515i | −0.969312 | − | 0.245833i | \(-0.920938\pi\) |
−0.245833 | − | 0.969312i | \(-0.579062\pi\) | |||||||
\(198\) | −0.267785 | + | 0.184077i | −0.0190306 | + | 0.0130818i | ||||
\(199\) | −12.6311 | + | 7.29259i | −0.895397 | + | 0.516958i | −0.875704 | − | 0.482848i | \(-0.839602\pi\) |
−0.0196933 | + | 0.999806i | \(0.506269\pi\) | |||||||
\(200\) | 13.0865 | + | 0.339304i | 0.925352 | + | 0.0239924i | ||||
\(201\) | −12.7668 | − | 7.37090i | −0.900498 | − | 0.519903i | ||||
\(202\) | −5.88867 | + | 12.3486i | −0.414325 | + | 0.868844i | ||||
\(203\) | 9.04916 | − | 14.2089i | 0.635127 | − | 0.997272i | ||||
\(204\) | −0.713451 | + | 6.79928i | −0.0499516 | + | 0.476045i | ||||
\(205\) | 1.04831 | + | 3.91235i | 0.0732172 | + | 0.273250i | ||||
\(206\) | 3.25058 | + | 2.77577i | 0.226478 | + | 0.193397i | ||||
\(207\) | 1.53020 | + | 2.65039i | 0.106356 | + | 0.184215i | ||||
\(208\) | 10.5571 | − | 0.556915i | 0.732004 | − | 0.0386151i | ||||
\(209\) | −0.370852 | −0.0256524 | ||||||||
\(210\) | 2.27973 | − | 0.0801406i | 0.157316 | − | 0.00553023i | ||||
\(211\) | 13.2500 | − | 13.2500i | 0.912169 | − | 0.912169i | −0.0842733 | − | 0.996443i | \(-0.526857\pi\) |
0.996443 | + | 0.0842733i | \(0.0268569\pi\) | |||||||
\(212\) | 3.97935 | − | 5.47908i | 0.273303 | − | 0.376305i | ||||
\(213\) | 0.948565 | − | 3.54009i | 0.0649946 | − | 0.242563i | ||||
\(214\) | 9.41546 | − | 0.741827i | 0.643628 | − | 0.0507103i | ||||
\(215\) | −0.949036 | − | 0.547926i | −0.0647237 | − | 0.0373682i | ||||
\(216\) | −0.660992 | − | 2.75011i | −0.0449748 | − | 0.187121i | ||||
\(217\) | 9.14748 | + | 9.97979i | 0.620972 | + | 0.677472i | ||||
\(218\) | 18.7839 | + | 8.95748i | 1.27221 | + | 0.606677i | ||||
\(219\) | −12.5354 | + | 3.35885i | −0.847064 | + | 0.226970i | ||||
\(220\) | −0.100359 | + | 0.261578i | −0.00676619 | + | 0.0176356i | ||||
\(221\) | 8.72656 | + | 2.33828i | 0.587012 | + | 0.157289i | ||||
\(222\) | −7.93290 | − | 1.46957i | −0.532421 | − | 0.0986311i | ||||
\(223\) | −2.09867 | −0.140537 | −0.0702685 | − | 0.997528i | \(-0.522386\pi\) | ||||
−0.0702685 | + | 0.997528i | \(0.522386\pi\) | |||||||
\(224\) | −11.4706 | − | 9.61376i | −0.766415 | − | 0.642346i | ||||
\(225\) | −4.62831 | −0.308554 | ||||||||
\(226\) | −10.6498 | − | 1.97288i | −0.708414 | − | 0.131234i | ||||
\(227\) | −14.5784 | − | 3.90626i | −0.967600 | − | 0.259268i | −0.259786 | − | 0.965666i | \(-0.583652\pi\) |
−0.707814 | + | 0.706399i | \(0.750319\pi\) | |||||||
\(228\) | 1.15628 | − | 3.01376i | 0.0765764 | − | 0.199591i | ||||
\(229\) | −5.68295 | + | 1.52274i | −0.375540 | + | 0.100626i | −0.441652 | − | 0.897187i | \(-0.645607\pi\) |
0.0661117 | + | 0.997812i | \(0.478941\pi\) | |||||||
\(230\) | 2.38171 | + | 1.13576i | 0.157045 | + | 0.0748901i | ||||
\(231\) | 0.182722 | − | 0.579818i | 0.0120223 | − | 0.0381492i | ||||
\(232\) | −17.5102 | + | 4.20861i | −1.14960 | + | 0.276309i | ||||
\(233\) | 3.35266 | + | 1.93566i | 0.219640 | + | 0.126809i | 0.605784 | − | 0.795629i | \(-0.292860\pi\) |
−0.386143 | + | 0.922439i | \(0.626193\pi\) | |||||||
\(234\) | −3.72615 | + | 0.293576i | −0.243586 | + | 0.0191917i | ||||
\(235\) | 1.09367 | − | 4.08163i | 0.0713432 | − | 0.266256i | ||||
\(236\) | −8.53224 | + | 11.7479i | −0.555401 | + | 0.764721i | ||||
\(237\) | −6.79628 | + | 6.79628i | −0.441466 | + | 0.441466i | ||||
\(238\) | −6.78025 | − | 10.8451i | −0.439499 | − | 0.702981i | ||||
\(239\) | 17.2703 | 1.11712 | 0.558560 | − | 0.829464i | \(-0.311354\pi\) | ||||
0.558560 | + | 0.829464i | \(0.311354\pi\) | |||||||
\(240\) | −1.81282 | − | 1.63115i | −0.117017 | − | 0.105290i | ||||
\(241\) | 9.87354 | + | 17.1015i | 0.636010 | + | 1.10160i | 0.986300 | + | 0.164961i | \(0.0527498\pi\) |
−0.350290 | + | 0.936641i | \(0.613917\pi\) | |||||||
\(242\) | −11.7732 | − | 10.0535i | −0.756812 | − | 0.646266i | ||||
\(243\) | 0.258819 | + | 0.965926i | 0.0166032 | + | 0.0619642i | ||||
\(244\) | 1.56008 | − | 14.8677i | 0.0998737 | − | 0.951809i | ||||
\(245\) | −3.26838 | + | 2.74413i | −0.208809 | + | 0.175316i | ||||
\(246\) | −4.04415 | + | 8.48061i | −0.257846 | + | 0.540704i | ||||
\(247\) | −3.69418 | − | 2.13283i | −0.235055 | − | 0.135709i | ||||
\(248\) | 0.375116 | − | 14.4677i | 0.0238199 | − | 0.918699i | ||||
\(249\) | −9.99109 | + | 5.76836i | −0.633159 | + | 0.365555i | ||||
\(250\) | −6.84102 | + | 4.70257i | −0.432664 | + | 0.297417i | ||||
\(251\) | 8.31713 | + | 8.31713i | 0.524972 | + | 0.524972i | 0.919069 | − | 0.394097i | \(-0.128942\pi\) |
−0.394097 | + | 0.919069i | \(0.628942\pi\) | |||||||
\(252\) | 4.14222 | + | 3.29272i | 0.260935 | + | 0.207422i | ||||
\(253\) | 0.497241 | − | 0.497241i | 0.0312613 | − | 0.0312613i | ||||
\(254\) | 10.4235 | + | 1.93096i | 0.654031 | + | 0.121159i | ||||
\(255\) | −1.04200 | − | 1.80480i | −0.0652527 | − | 0.113021i | ||||
\(256\) | 1.68340 | + | 15.9112i | 0.105212 | + | 0.994450i | ||||
\(257\) | −12.9914 | + | 22.5018i | −0.810381 | + | 1.40362i | 0.102216 | + | 0.994762i | \(0.467407\pi\) |
−0.912597 | + | 0.408859i | \(0.865927\pi\) | |||||||
\(258\) | −0.848750 | − | 2.39614i | −0.0528409 | − | 0.149177i | ||||
\(259\) | 13.3872 | − | 6.97141i | 0.831838 | − | 0.433182i | ||||
\(260\) | −2.50408 | + | 2.02848i | −0.155297 | + | 0.125801i | ||||
\(261\) | 6.15016 | − | 1.64793i | 0.380685 | − | 0.102004i | ||||
\(262\) | −0.569715 | − | 7.23097i | −0.0351971 | − | 0.446731i | ||||
\(263\) | 16.1568 | − | 9.32812i | 0.996270 | − | 0.575197i | 0.0891274 | − | 0.996020i | \(-0.471592\pi\) |
0.907143 | + | 0.420824i | \(0.138259\pi\) | |||||||
\(264\) | −0.571065 | + | 0.310254i | −0.0351466 | + | 0.0190948i | ||||
\(265\) | 2.06421i | 0.126803i | ||||||||
\(266\) | 1.76696 | + | 5.77467i | 0.108339 | + | 0.354068i | ||||
\(267\) | −8.96365 | − | 8.96365i | −0.548567 | − | 0.548567i | ||||
\(268\) | −23.8557 | − | 17.3259i | −1.45722 | − | 1.05835i | ||||
\(269\) | −10.7731 | − | 2.88664i | −0.656848 | − | 0.176002i | −0.0850247 | − | 0.996379i | \(-0.527097\pi\) |
−0.571823 | + | 0.820377i | \(0.693764\pi\) | |||||||
\(270\) | 0.655662 | + | 0.559891i | 0.0399023 | + | 0.0340739i | ||||
\(271\) | 4.60089 | − | 7.96898i | 0.279484 | − | 0.484081i | −0.691772 | − | 0.722116i | \(-0.743170\pi\) |
0.971257 | + | 0.238035i | \(0.0765032\pi\) | |||||||
\(272\) | −2.83822 | + | 13.3754i | −0.172093 | + | 0.811003i | ||||
\(273\) | 5.15478 | − | 4.72488i | 0.311982 | − | 0.285963i | ||||
\(274\) | −8.55283 | + | 3.02955i | −0.516696 | + | 0.183022i | ||||
\(275\) | 0.275247 | + | 1.02723i | 0.0165980 | + | 0.0619446i | ||||
\(276\) | 2.49052 | + | 5.59121i | 0.149912 | + | 0.336551i | ||||
\(277\) | −5.95287 | + | 22.2164i | −0.357673 | + | 1.33485i | 0.519414 | + | 0.854523i | \(0.326150\pi\) |
−0.877087 | + | 0.480332i | \(0.840516\pi\) | |||||||
\(278\) | −1.65998 | − | 2.41485i | −0.0995592 | − | 0.144833i | ||||
\(279\) | 5.11682i | 0.306336i | ||||||||
\(280\) | 4.55129 | + | 0.316408i | 0.271992 | + | 0.0189090i | ||||
\(281\) | − | 21.5167i | − | 1.28358i | −0.766881 | − | 0.641790i | \(-0.778192\pi\) | ||
0.766881 | − | 0.641790i | \(-0.221808\pi\) | |||||||
\(282\) | 8.07766 | − | 5.55264i | 0.481018 | − | 0.330655i | ||||
\(283\) | −3.73386 | + | 13.9350i | −0.221955 | + | 0.828348i | 0.761647 | + | 0.647993i | \(0.224391\pi\) |
−0.983602 | + | 0.180355i | \(0.942275\pi\) | |||||||
\(284\) | 2.62564 | − | 6.84354i | 0.155803 | − | 0.406090i | ||||
\(285\) | 0.254673 | + | 0.950451i | 0.0150855 | + | 0.0562998i | ||||
\(286\) | 0.286753 | + | 0.809543i | 0.0169560 | + | 0.0478693i | ||||
\(287\) | −3.80696 | − | 17.1602i | −0.224718 | − | 1.01294i | ||||
\(288\) | −0.740778 | − | 5.60814i | −0.0436508 | − | 0.330463i | ||||
\(289\) | 2.65760 | − | 4.60310i | 0.156329 | − | 0.270771i | ||||
\(290\) | 3.56489 | − | 4.17468i | 0.209338 | − | 0.245146i | ||||
\(291\) | −11.3209 | − | 3.03343i | −0.663645 | − | 0.177823i | ||||
\(292\) | −25.6349 | + | 4.06469i | −1.50017 | + | 0.237868i | ||||
\(293\) | 16.2870 | + | 16.2870i | 0.951494 | + | 0.951494i | 0.998877 | − | 0.0473826i | \(-0.0150880\pi\) |
−0.0473826 | + | 0.998877i | \(0.515088\pi\) | |||||||
\(294\) | −9.89915 | − | 0.0826368i | −0.577330 | − | 0.00481948i | ||||
\(295\) | − | 4.42593i | − | 0.257688i | ||||||
\(296\) | −15.4724 | − | 4.57881i | −0.899317 | − | 0.266138i | ||||
\(297\) | 0.198991 | − | 0.114888i | 0.0115466 | − | 0.00666645i | ||||
\(298\) | −30.4932 | + | 2.40250i | −1.76642 | + | 0.139173i | ||||
\(299\) | 7.81289 | − | 2.09346i | 0.451831 | − | 0.121068i | ||||
\(300\) | −9.20609 | − | 0.965999i | −0.531514 | − | 0.0557720i | ||||
\(301\) | 4.01128 | + | 2.55464i | 0.231206 | + | 0.147247i | ||||
\(302\) | −24.6094 | + | 8.71703i | −1.41611 | + | 0.501609i | ||||
\(303\) | 4.83689 | − | 8.37774i | 0.277872 | − | 0.481289i | ||||
\(304\) | 2.92895 | − | 5.75327i | 0.167987 | − | 0.329973i | ||||
\(305\) | 2.27851 | + | 3.94649i | 0.130467 | + | 0.225975i | ||||
\(306\) | 0.880556 | − | 4.75334i | 0.0503381 | − | 0.271730i | ||||
\(307\) | 8.46457 | − | 8.46457i | 0.483098 | − | 0.483098i | −0.423021 | − | 0.906120i | \(-0.639030\pi\) |
0.906120 | + | 0.423021i | \(0.139030\pi\) | |||||||
\(308\) | 0.484466 | − | 1.11517i | 0.0276050 | − | 0.0635425i | ||||
\(309\) | −2.13724 | − | 2.13724i | −0.121583 | − | 0.121583i | ||||
\(310\) | 2.49911 | + | 3.63556i | 0.141940 | + | 0.206486i | ||||
\(311\) | −19.0709 | + | 11.0106i | −1.08141 | + | 0.624355i | −0.931278 | − | 0.364311i | \(-0.881305\pi\) |
−0.150137 | + | 0.988665i | \(0.547971\pi\) | |||||||
\(312\) | −7.47288 | − | 0.193756i | −0.423068 | − | 0.0109693i | ||||
\(313\) | 14.6029 | + | 8.43098i | 0.825404 | + | 0.476547i | 0.852277 | − | 0.523091i | \(-0.175221\pi\) |
−0.0268722 | + | 0.999639i | \(0.508555\pi\) | |||||||
\(314\) | 5.53363 | + | 2.63882i | 0.312281 | + | 0.148917i | ||||
\(315\) | −1.61148 | − | 0.0701224i | −0.0907969 | − | 0.00395095i | ||||
\(316\) | −14.9368 | + | 12.0999i | −0.840263 | + | 0.680670i | ||||
\(317\) | 1.11638 | + | 4.16639i | 0.0627022 | + | 0.234008i | 0.990164 | − | 0.139909i | \(-0.0446811\pi\) |
−0.927462 | + | 0.373917i | \(0.878014\pi\) | |||||||
\(318\) | −3.10944 | + | 3.64132i | −0.174369 | + | 0.204195i | ||||
\(319\) | −0.731502 | − | 1.26700i | −0.0409563 | − | 0.0709383i | ||||
\(320\) | −3.26541 | − | 3.62284i | −0.182542 | − | 0.202523i | ||||
\(321\) | −6.67837 | −0.372750 | ||||||||
\(322\) | −10.1119 | − | 5.37357i | −0.563513 | − | 0.299457i | ||||
\(323\) | 3.90116 | − | 3.90116i | 0.217066 | − | 0.217066i | ||||
\(324\) | 0.313209 | + | 1.97532i | 0.0174005 | + | 0.109740i | ||||
\(325\) | −3.16598 | + | 11.8156i | −0.175617 | + | 0.655411i | ||||
\(326\) | 2.08609 | + | 26.4772i | 0.115538 | + | 1.46644i | ||||
\(327\) | −12.7437 | − | 7.35758i | −0.704728 | − | 0.406875i | ||||
\(328\) | −9.81417 | + | 16.0245i | −0.541897 | + | 0.884807i | ||||
\(329\) | −5.51178 | + | 17.4901i | −0.303874 | + | 0.964258i | ||||
\(330\) | 0.0852731 | − | 0.178818i | 0.00469413 | − | 0.00984362i | ||||
\(331\) | 18.0482 | − | 4.83600i | 0.992019 | − | 0.265811i | 0.273921 | − | 0.961752i | \(-0.411679\pi\) |
0.718099 | + | 0.695941i | \(0.245013\pi\) | |||||||
\(332\) | −21.0770 | + | 9.38843i | −1.15675 | + | 0.515257i | ||||
\(333\) | 5.51046 | + | 1.47652i | 0.301971 | + | 0.0809129i | ||||
\(334\) | 5.35660 | − | 28.9155i | 0.293100 | − | 1.58218i | ||||
\(335\) | 8.98749 | 0.491039 | ||||||||
\(336\) | 7.55197 | + | 7.41402i | 0.411994 | + | 0.404468i | ||||
\(337\) | 1.83390 | 0.0998988 | 0.0499494 | − | 0.998752i | \(-0.484094\pi\) | ||||
0.0499494 | + | 0.998752i | \(0.484094\pi\) | |||||||
\(338\) | 1.54942 | − | 8.36393i | 0.0842773 | − | 0.454938i | ||||
\(339\) | 7.39771 | + | 1.98221i | 0.401788 | + | 0.107659i | ||||
\(340\) | −1.69594 | − | 3.80737i | −0.0919750 | − | 0.206484i | ||||
\(341\) | 1.13566 | − | 0.304298i | 0.0614992 | − | 0.0164787i | ||||
\(342\) | −0.982470 | + | 2.06025i | −0.0531259 | + | 0.111405i | ||||
\(343\) | 14.6882 | − | 11.2809i | 0.793086 | − | 0.609110i | ||||
\(344\) | −1.18812 | − | 4.94326i | −0.0640592 | − | 0.266523i | ||||
\(345\) | −1.61584 | − | 0.932904i | −0.0869938 | − | 0.0502259i | ||||
\(346\) | −1.96956 | − | 24.9981i | −0.105884 | − | 1.34391i | ||||
\(347\) | −5.25948 | + | 19.6286i | −0.282344 | + | 1.05372i | 0.668415 | + | 0.743789i | \(0.266973\pi\) |
−0.950759 | + | 0.309932i | \(0.899694\pi\) | |||||||
\(348\) | 12.5771 | − | 1.99423i | 0.674204 | − | 0.106902i | ||||
\(349\) | 5.94895 | − | 5.94895i | 0.318440 | − | 0.318440i | −0.529728 | − | 0.848168i | \(-0.677706\pi\) |
0.848168 | + | 0.529728i | \(0.177706\pi\) | |||||||
\(350\) | 14.6840 | − | 9.18033i | 0.784893 | − | 0.490709i | ||||
\(351\) | 2.64295 | 0.141070 | ||||||||
\(352\) | −1.20065 | + | 0.497930i | −0.0639948 | + | 0.0265397i | ||||
\(353\) | −12.8295 | − | 22.2213i | −0.682843 | − | 1.18272i | −0.974109 | − | 0.226077i | \(-0.927410\pi\) |
0.291266 | − | 0.956642i | \(-0.405923\pi\) | |||||||
\(354\) | 6.66703 | − | 7.80745i | 0.354349 | − | 0.414961i | ||||
\(355\) | 0.578302 | + | 2.15825i | 0.0306931 | + | 0.114548i | ||||
\(356\) | −15.9586 | − | 19.7003i | −0.845803 | − | 1.04411i | ||||
\(357\) | 4.17722 | + | 8.02150i | 0.221082 | + | 0.424543i | ||||
\(358\) | 14.6649 | + | 6.99323i | 0.775062 | + | 0.369604i | ||||
\(359\) | −23.4074 | − | 13.5143i | −1.23539 | − | 0.713255i | −0.267245 | − | 0.963629i | \(-0.586113\pi\) |
−0.968149 | + | 0.250374i | \(0.919447\pi\) | |||||||
\(360\) | 1.18731 | + | 1.25051i | 0.0625766 | + | 0.0659079i | ||||
\(361\) | 14.1985 | − | 8.19754i | 0.747292 | − | 0.431449i | ||||
\(362\) | 15.7743 | + | 22.9475i | 0.829077 | + | 1.20609i | ||||
\(363\) | 7.74084 | + | 7.74084i | 0.406289 | + | 0.406289i | ||||
\(364\) | 11.2394 | − | 8.32228i | 0.589106 | − | 0.436206i | ||||
\(365\) | 5.59458 | − | 5.59458i | 0.292833 | − | 0.292833i | ||||
\(366\) | −1.92548 | + | 10.3939i | −0.100646 | + | 0.543300i | ||||
\(367\) | 14.6163 | + | 25.3162i | 0.762967 | + | 1.32150i | 0.941315 | + | 0.337529i | \(0.109591\pi\) |
−0.178348 | + | 0.983967i | \(0.557075\pi\) | |||||||
\(368\) | 3.78687 | + | 11.6412i | 0.197404 | + | 0.606838i | ||||
\(369\) | 3.32182 | − | 5.75356i | 0.172927 | − | 0.299518i | ||||
\(370\) | 4.63639 | − | 1.64228i | 0.241034 | − | 0.0853781i | ||||
\(371\) | 0.389435 | − | 8.94961i | 0.0202185 | − | 0.464641i | ||||
\(372\) | −1.06796 | + | 10.1778i | −0.0553710 | + | 0.527692i | ||||
\(373\) | 13.8784 | − | 3.71871i | 0.718597 | − | 0.192548i | 0.119051 | − | 0.992888i | \(-0.462015\pi\) |
0.599546 | + | 0.800341i | \(0.295348\pi\) | |||||||
\(374\) | −1.10735 | + | 0.0872461i | −0.0572597 | + | 0.00451139i | ||||
\(375\) | 5.08357 | − | 2.93500i | 0.262514 | − | 0.151563i | ||||
\(376\) | 17.2260 | − | 9.35872i | 0.888365 | − | 0.482639i | ||||
\(377\) | − | 16.8280i | − | 0.866684i | ||||||
\(378\) | −2.73707 | − | 2.55117i | −0.140780 | − | 0.131218i | ||||
\(379\) | 12.0509 | + | 12.0509i | 0.619013 | + | 0.619013i | 0.945278 | − | 0.326265i | \(-0.105790\pi\) |
−0.326265 | + | 0.945278i | \(0.605790\pi\) | |||||||
\(380\) | 0.308191 | + | 1.94368i | 0.0158098 | + | 0.0997085i | ||||
\(381\) | −7.24054 | − | 1.94010i | −0.370944 | − | 0.0993942i | ||||
\(382\) | −2.28046 | + | 2.67054i | −0.116679 | + | 0.136637i | ||||
\(383\) | 14.8885 | − | 25.7877i | 0.760768 | − | 1.31769i | −0.181687 | − | 0.983356i | \(-0.558156\pi\) |
0.942455 | − | 0.334333i | \(-0.108511\pi\) | |||||||
\(384\) | −0.302963 | − | 11.3097i | −0.0154605 | − | 0.577143i | ||||
\(385\) | 0.0802719 | + | 0.361832i | 0.00409103 | + | 0.0184407i | ||||
\(386\) | −0.601927 | − | 1.69933i | −0.0306373 | − | 0.0864934i | ||||
\(387\) | 0.465222 | + | 1.73623i | 0.0236486 | + | 0.0882576i | ||||
\(388\) | −21.8851 | − | 8.39659i | −1.11105 | − | 0.426272i | ||||
\(389\) | −6.69840 | + | 24.9988i | −0.339622 | + | 1.26749i | 0.559148 | + | 0.829068i | \(0.311128\pi\) |
−0.898770 | + | 0.438420i | \(0.855538\pi\) | |||||||
\(390\) | 1.87785 | − | 1.29084i | 0.0950884 | − | 0.0653645i | ||||
\(391\) | 10.4614i | 0.529056i | ||||||||
\(392\) | −19.6730 | − | 2.23047i | −0.993634 | − | 0.112656i | ||||
\(393\) | 5.12891i | 0.258719i | ||||||||
\(394\) | 19.3230 | + | 28.1099i | 0.973477 | + | 1.41616i | ||||
\(395\) | 1.51660 | − | 5.66002i | 0.0763083 | − | 0.284787i | ||||
\(396\) | 0.419788 | − | 0.186988i | 0.0210951 | − | 0.00939650i | ||||
\(397\) | −2.04291 | − | 7.62425i | −0.102531 | − | 0.382650i | 0.895523 | − | 0.445016i | \(-0.146802\pi\) |
−0.998053 | + | 0.0623659i | \(0.980135\pi\) | |||||||
\(398\) | 19.4429 | − | 6.88696i | 0.974582 | − | 0.345212i | ||||
\(399\) | −0.924849 | − | 4.16883i | −0.0463003 | − | 0.208703i | ||||
\(400\) | −18.1100 | − | 3.84290i | −0.905501 | − | 0.192145i | ||||
\(401\) | 4.70377 | − | 8.14717i | 0.234895 | − | 0.406850i | −0.724347 | − | 0.689436i | \(-0.757859\pi\) |
0.959242 | + | 0.282585i | \(0.0911920\pi\) | |||||||
\(402\) | 15.8541 | + | 13.5384i | 0.790733 | + | 0.675232i | ||||
\(403\) | 13.0627 | + | 3.50014i | 0.650699 | + | 0.174354i | ||||
\(404\) | 11.3695 | − | 15.6545i | 0.565655 | − | 0.778838i | ||||
\(405\) | −0.431095 | − | 0.431095i | −0.0214213 | − | 0.0214213i | ||||
\(406\) | −16.2436 | + | 17.4272i | −0.806155 | + | 0.864899i | ||||
\(407\) | − | 1.31083i | − | 0.0649755i | ||||||
\(408\) | 2.74359 | − | 9.27098i | 0.135828 | − | 0.458982i | ||||
\(409\) | 6.42055 | − | 3.70690i | 0.317476 | − | 0.183295i | −0.332791 | − | 0.943001i | \(-0.607990\pi\) |
0.650267 | + | 0.759706i | \(0.274657\pi\) | |||||||
\(410\) | −0.449911 | − | 5.71038i | −0.0222195 | − | 0.282016i | ||||
\(411\) | 6.19734 | − | 1.66057i | 0.305692 | − | 0.0819100i | ||||
\(412\) | −3.80506 | − | 4.69721i | −0.187462 | − | 0.231415i | ||||
\(413\) | −0.834999 | + | 19.1891i | −0.0410876 | + | 0.944235i | ||||
\(414\) | −1.44509 | − | 4.07969i | −0.0710223 | − | 0.200506i | ||||
\(415\) | 3.51674 | − | 6.09117i | 0.172630 | − | 0.299004i | ||||
\(416\) | −14.8237 | − | 1.94510i | −0.726792 | − | 0.0953663i | ||||
\(417\) | 1.03604 | + | 1.79447i | 0.0507351 | + | 0.0878758i | ||||
\(418\) | 0.515690 | + | 0.0955317i | 0.0252232 | + | 0.00467261i | ||||
\(419\) | −3.25454 | + | 3.25454i | −0.158995 | + | 0.158995i | −0.782121 | − | 0.623126i | \(-0.785862\pi\) |
0.623126 | + | 0.782121i | \(0.285862\pi\) | |||||||
\(420\) | −3.19074 | − | 0.475820i | −0.155692 | − | 0.0232176i | ||||
\(421\) | −5.54370 | − | 5.54370i | −0.270183 | − | 0.270183i | 0.558991 | − | 0.829174i | \(-0.311189\pi\) |
−0.829174 | + | 0.558991i | \(0.811189\pi\) | |||||||
\(422\) | −21.8381 | + | 15.0117i | −1.06306 | + | 0.730757i | ||||
\(423\) | −6.00251 | + | 3.46555i | −0.291852 | + | 0.168501i | ||||
\(424\) | −6.94492 | + | 6.59388i | −0.337275 | + | 0.320227i | ||||
\(425\) | −13.7014 | − | 7.91049i | −0.664614 | − | 0.383715i | ||||
\(426\) | −2.23096 | + | 4.67834i | −0.108090 | + | 0.226666i | ||||
\(427\) | −9.13417 | − | 17.5403i | −0.442034 | − | 0.848835i | ||||
\(428\) | −13.2838 | − | 1.39388i | −0.642097 | − | 0.0673755i | ||||
\(429\) | −0.157177 | − | 0.586591i | −0.00758856 | − | 0.0283209i | ||||
\(430\) | 1.17854 | + | 1.00639i | 0.0568342 | + | 0.0485326i | ||||
\(431\) | 16.0025 | + | 27.7171i | 0.770813 | + | 1.33509i | 0.937118 | + | 0.349013i | \(0.113483\pi\) |
−0.166305 | + | 0.986074i | \(0.553184\pi\) | |||||||
\(432\) | 0.210717 | + | 3.99445i | 0.0101381 | + | 0.192183i | ||||
\(433\) | −29.7217 | −1.42833 | −0.714166 | − | 0.699976i | \(-0.753194\pi\) | ||||
−0.714166 | + | 0.699976i | \(0.753194\pi\) | |||||||
\(434\) | −10.1493 | − | 16.2338i | −0.487181 | − | 0.779249i | ||||
\(435\) | −2.74483 | + | 2.74483i | −0.131605 | + | 0.131605i | ||||
\(436\) | −23.8126 | − | 17.2946i | −1.14042 | − | 0.828262i | ||||
\(437\) | 1.27842 | − | 4.77113i | 0.0611551 | − | 0.228234i | ||||
\(438\) | 18.2964 | − | 1.44154i | 0.874236 | − | 0.0688794i | ||||
\(439\) | −7.00658 | − | 4.04525i | −0.334406 | − | 0.193069i | 0.323390 | − | 0.946266i | \(-0.395178\pi\) |
−0.657795 | + | 0.753197i | \(0.728511\pi\) | |||||||
\(440\) | 0.206937 | − | 0.337886i | 0.00986533 | − | 0.0161081i | ||||
\(441\) | 6.97354 | + | 0.608047i | 0.332073 | + | 0.0289546i | ||||
\(442\) | −11.5324 | − | 5.49947i | −0.548541 | − | 0.261583i | ||||
\(443\) | −36.8730 | + | 9.88009i | −1.75189 | + | 0.469417i | −0.985028 | − | 0.172396i | \(-0.944849\pi\) |
−0.766861 | + | 0.641813i | \(0.778182\pi\) | |||||||
\(444\) | 10.6526 | + | 4.08703i | 0.505548 | + | 0.193962i | ||||
\(445\) | 7.46503 | + | 2.00025i | 0.353876 | + | 0.0948209i | ||||
\(446\) | 2.91831 | + | 0.540617i | 0.138186 | + | 0.0255990i | ||||
\(447\) | 21.6287 | 1.02300 | ||||||||
\(448\) | 13.4741 | + | 16.3233i | 0.636589 | + | 0.771203i | ||||
\(449\) | −3.41547 | −0.161186 | −0.0805930 | − | 0.996747i | \(-0.525681\pi\) | ||||
−0.0805930 | + | 0.996747i | \(0.525681\pi\) | |||||||
\(450\) | 6.43592 | + | 1.19226i | 0.303392 | + | 0.0562035i | ||||
\(451\) | −1.47453 | − | 0.395098i | −0.0694328 | − | 0.0186045i | ||||
\(452\) | 14.3009 | + | 5.48679i | 0.672658 | + | 0.258077i | ||||
\(453\) | 17.8319 | − | 4.77804i | 0.837814 | − | 0.224492i | ||||
\(454\) | 19.2658 | + | 9.18726i | 0.904187 | + | 0.431180i | ||||
\(455\) | −1.28134 | + | 4.06598i | −0.0600703 | + | 0.190616i | ||||
\(456\) | −2.38421 | + | 3.89294i | −0.111651 | + | 0.182303i | ||||
\(457\) | 34.8281 | + | 20.1080i | 1.62919 | + | 0.940614i | 0.984335 | + | 0.176310i | \(0.0564160\pi\) |
0.644856 | + | 0.764304i | \(0.276917\pi\) | |||||||
\(458\) | 8.29471 | − | 0.653525i | 0.387586 | − | 0.0305372i | ||||
\(459\) | −0.884722 | + | 3.30183i | −0.0412953 | + | 0.154116i | ||||
\(460\) | −3.01932 | − | 2.19287i | −0.140776 | − | 0.102243i | ||||
\(461\) | 12.6102 | − | 12.6102i | 0.587314 | − | 0.587314i | −0.349589 | − | 0.936903i | \(-0.613679\pi\) |
0.936903 | + | 0.349589i | \(0.113679\pi\) | |||||||
\(462\) | −0.403447 | + | 0.759199i | −0.0187700 | + | 0.0353211i | ||||
\(463\) | −35.5662 | −1.65290 | −0.826451 | − | 0.563009i | \(-0.809644\pi\) | ||||
−0.826451 | + | 0.563009i | \(0.809644\pi\) | |||||||
\(464\) | 25.4331 | − | 1.34166i | 1.18070 | − | 0.0622850i | ||||
\(465\) | −1.55976 | − | 2.70158i | −0.0723321 | − | 0.125283i | ||||
\(466\) | −4.16344 | − | 3.55529i | −0.192867 | − | 0.164696i | ||||
\(467\) | 9.77215 | + | 36.4702i | 0.452201 | + | 1.68764i | 0.696188 | + | 0.717859i | \(0.254878\pi\) |
−0.243987 | + | 0.969778i | \(0.578456\pi\) | |||||||
\(468\) | 5.25704 | + | 0.551623i | 0.243007 | + | 0.0254988i | ||||
\(469\) | −38.9662 | − | 1.69558i | −1.79929 | − | 0.0782948i | ||||
\(470\) | −2.57224 | + | 5.39401i | −0.118649 | + | 0.248807i | ||||
\(471\) | −3.75422 | − | 2.16750i | −0.172985 | − | 0.0998731i | ||||
\(472\) | 14.8908 | − | 14.1381i | 0.685404 | − | 0.650760i | ||||
\(473\) | 0.357682 | − | 0.206508i | 0.0164463 | − | 0.00949525i | ||||
\(474\) | 11.2013 | − | 7.69988i | 0.514494 | − | 0.353667i | ||||
\(475\) | 5.28209 | + | 5.28209i | 0.242359 | + | 0.242359i | ||||
\(476\) | 6.63462 | + | 16.8272i | 0.304097 | + | 0.771276i | ||||
\(477\) | 2.39415 | − | 2.39415i | 0.109621 | − | 0.109621i | ||||
\(478\) | −24.0152 | − | 4.44883i | −1.09843 | − | 0.203485i | ||||
\(479\) | −20.0556 | − | 34.7372i | −0.916362 | − | 1.58719i | −0.804895 | − | 0.593417i | \(-0.797779\pi\) |
−0.111467 | − | 0.993768i | \(-0.535555\pi\) | |||||||
\(480\) | 2.10065 | + | 2.73518i | 0.0958810 | + | 0.124843i | ||||
\(481\) | 7.53881 | − | 13.0576i | 0.343740 | − | 0.595375i | ||||
\(482\) | −9.32435 | − | 26.3240i | −0.424712 | − | 1.19902i | ||||
\(483\) | 6.82964 | + | 4.34955i | 0.310759 | + | 0.197912i | ||||
\(484\) | 13.7815 | + | 17.0128i | 0.626433 | + | 0.773308i | ||||
\(485\) | 6.90192 | − | 1.84936i | 0.313400 | − | 0.0839753i | ||||
\(486\) | −0.111079 | − | 1.40984i | −0.00503865 | − | 0.0639518i | ||||
\(487\) | 7.04368 | − | 4.06667i | 0.319179 | − | 0.184278i | −0.331847 | − | 0.943333i | \(-0.607672\pi\) |
0.651027 | + | 0.759055i | \(0.274339\pi\) | |||||||
\(488\) | −5.99930 | + | 20.2725i | −0.271576 | + | 0.917693i | ||||
\(489\) | − | 18.7802i | − | 0.849271i | ||||||
\(490\) | 5.25176 | − | 2.97393i | 0.237250 | − | 0.134348i | ||||
\(491\) | 2.80755 | + | 2.80755i | 0.126703 | + | 0.126703i | 0.767615 | − | 0.640912i | \(-0.221443\pi\) |
−0.640912 | + | 0.767615i | \(0.721443\pi\) | |||||||
\(492\) | 7.80822 | − | 10.7510i | 0.352022 | − | 0.484692i | ||||
\(493\) | 21.0231 | + | 5.63313i | 0.946834 | + | 0.253703i | ||||
\(494\) | 4.58753 | + | 3.91744i | 0.206403 | + | 0.176254i | ||||
\(495\) | −0.0700424 | + | 0.121317i | −0.00314817 | + | 0.00545279i | ||||
\(496\) | −4.24850 | + | 20.0215i | −0.190763 | + | 0.898990i | ||||
\(497\) | −2.10012 | − | 9.46645i | −0.0942031 | − | 0.424628i | ||||
\(498\) | 15.3791 | − | 5.44751i | 0.689153 | − | 0.244109i | ||||
\(499\) | 4.78431 | + | 17.8553i | 0.214175 | + | 0.799312i | 0.986455 | + | 0.164030i | \(0.0524494\pi\) |
−0.772280 | + | 0.635282i | \(0.780884\pi\) | |||||||
\(500\) | 10.7242 | − | 4.77693i | 0.479601 | − | 0.213631i | ||||
\(501\) | −5.38194 | + | 20.0857i | −0.240447 | + | 0.897361i | ||||
\(502\) | −9.42292 | − | 13.7079i | −0.420566 | − | 0.611814i | ||||
\(503\) | − | 18.3324i | − | 0.817403i | −0.912668 | − | 0.408701i | \(-0.865982\pi\) | ||
0.912668 | − | 0.408701i | \(-0.134018\pi\) | |||||||
\(504\) | −4.91178 | − | 5.64574i | −0.218788 | − | 0.251481i | ||||
\(505\) | 5.89772i | 0.262445i | ||||||||
\(506\) | −0.819531 | + | 0.563351i | −0.0364326 | + | 0.0250440i | ||||
\(507\) | −1.55675 | + | 5.80987i | −0.0691377 | + | 0.258025i | ||||
\(508\) | −13.9971 | − | 5.37022i | −0.621020 | − | 0.238265i | ||||
\(509\) | 0.286058 | + | 1.06758i | 0.0126793 | + | 0.0473199i | 0.971976 | − | 0.235081i | \(-0.0755357\pi\) |
−0.959296 | + | 0.282401i | \(0.908869\pi\) | |||||||
\(510\) | 0.984043 | + | 2.77809i | 0.0435742 | + | 0.123016i | ||||
\(511\) | −25.3114 | + | 23.2004i | −1.11971 | + | 1.02633i | ||||
\(512\) | 1.75788 | − | 22.5590i | 0.0776879 | − | 0.996978i | ||||
\(513\) | 0.806990 | − | 1.39775i | 0.0356295 | − | 0.0617121i | ||||
\(514\) | 23.8617 | − | 27.9433i | 1.05250 | − | 1.23253i | ||||
\(515\) | 1.77992 | + | 0.476927i | 0.0784325 | + | 0.0210159i | ||||
\(516\) | 0.562986 | + | 3.55060i | 0.0247841 | + | 0.156307i | ||||
\(517\) | 1.12613 | + | 1.12613i | 0.0495274 | + | 0.0495274i | ||||
\(518\) | −20.4114 | + | 6.24559i | −0.896826 | + | 0.274415i | ||||
\(519\) | 17.7311i | 0.778311i | ||||||||
\(520\) | 4.00460 | − | 2.17566i | 0.175613 | − | 0.0954090i | ||||
\(521\) | 14.6547 | − | 8.46087i | 0.642032 | − | 0.370677i | −0.143365 | − | 0.989670i | \(-0.545792\pi\) |
0.785397 | + | 0.618993i | \(0.212459\pi\) | |||||||
\(522\) | −8.97664 | + | 0.707253i | −0.392897 | + | 0.0309556i | ||||
\(523\) | 28.5646 | − | 7.65387i | 1.24904 | − | 0.334680i | 0.427077 | − | 0.904215i | \(-0.359543\pi\) |
0.821967 | + | 0.569535i | \(0.192877\pi\) | |||||||
\(524\) | −1.07048 | + | 10.2018i | −0.0467642 | + | 0.445668i | ||||
\(525\) | −10.8609 | + | 5.65587i | −0.474011 | + | 0.246843i | ||||
\(526\) | −24.8698 | + | 8.80927i | −1.08438 | + | 0.384102i | ||||
\(527\) | −8.74542 | + | 15.1475i | −0.380956 | + | 0.659836i | ||||
\(528\) | 0.874019 | − | 0.284318i | 0.0380368 | − | 0.0123734i | ||||
\(529\) | −6.81696 | − | 11.8073i | −0.296389 | − | 0.513361i | ||||
\(530\) | 0.531741 | − | 2.87040i | 0.0230974 | − | 0.124682i | ||||
\(531\) | −5.13336 | + | 5.13336i | −0.222769 | + | 0.222769i | ||||
\(532\) | −0.969500 | − | 8.48517i | −0.0420332 | − | 0.367879i | ||||
\(533\) | −12.4160 | − | 12.4160i | −0.537795 | − | 0.537795i | ||||
\(534\) | 10.1554 | + | 14.7735i | 0.439467 | + | 0.639311i | ||||
\(535\) | 3.52605 | − | 2.03577i | 0.152445 | − | 0.0880139i | ||||
\(536\) | 28.7095 | + | 30.2379i | 1.24006 | + | 1.30608i | ||||
\(537\) | −9.94918 | − | 5.74416i | −0.429339 | − | 0.247879i | ||||
\(538\) | 14.2370 | + | 6.78919i | 0.613800 | + | 0.292703i | ||||
\(539\) | −0.279764 | − | 1.58391i | −0.0120503 | − | 0.0682237i | ||||
\(540\) | −0.767506 | − | 0.947458i | −0.0330282 | − | 0.0407721i | ||||
\(541\) | 0.0685877 | + | 0.255973i | 0.00294881 | + | 0.0110051i | 0.967385 | − | 0.253312i | \(-0.0815200\pi\) |
−0.964436 | + | 0.264317i | \(0.914853\pi\) | |||||||
\(542\) | −8.45060 | + | 9.89611i | −0.362984 | + | 0.425074i | ||||
\(543\) | −9.84514 | − | 17.0523i | −0.422495 | − | 0.731784i | ||||
\(544\) | 7.39221 | − | 17.8681i | 0.316938 | − | 0.766088i | ||||
\(545\) | 8.97125 | 0.384286 | ||||||||
\(546\) | −8.38514 | + | 5.24233i | −0.358851 | + | 0.224351i | ||||
\(547\) | 9.31466 | − | 9.31466i | 0.398266 | − | 0.398266i | −0.479355 | − | 0.877621i | \(-0.659129\pi\) |
0.877621 | + | 0.479355i | \(0.159129\pi\) | |||||||
\(548\) | 12.6736 | − | 2.00953i | 0.541389 | − | 0.0858430i | ||||
\(549\) | 1.93459 | − | 7.21998i | 0.0825662 | − | 0.308141i | ||||
\(550\) | −0.118129 | − | 1.49933i | −0.00503706 | − | 0.0639316i | ||||
\(551\) | −8.89962 | − | 5.13820i | −0.379136 | − | 0.218895i | ||||
\(552\) | −2.02291 | − | 8.41645i | −0.0861006 | − | 0.358228i | ||||
\(553\) | −7.64320 | + | 24.2535i | −0.325022 | + | 1.03137i | ||||
\(554\) | 14.0007 | − | 29.3597i | 0.594835 | − | 1.24737i | ||||
\(555\) | −3.35951 | + | 0.900177i | −0.142603 | + | 0.0382104i | ||||
\(556\) | 1.68623 | + | 3.78559i | 0.0715122 | + | 0.160545i | ||||
\(557\) | −25.5576 | − | 6.84813i | −1.08291 | − | 0.290165i | −0.327122 | − | 0.944982i | \(-0.606079\pi\) |
−0.755787 | + | 0.654818i | \(0.772745\pi\) | |||||||
\(558\) | 1.31809 | − | 7.11521i | 0.0557994 | − | 0.301211i | ||||
\(559\) | 4.75065 | 0.200931 | ||||||||
\(560\) | −6.24732 | − | 1.61240i | −0.263997 | − | 0.0681363i | ||||
\(561\) | 0.785441 | 0.0331613 | ||||||||
\(562\) | −5.54271 | + | 29.9202i | −0.233805 | + | 1.26211i | ||||
\(563\) | 36.3097 | + | 9.72916i | 1.53027 | + | 0.410035i | 0.923108 | − | 0.384541i | \(-0.125640\pi\) |
0.607165 | + | 0.794576i | \(0.292307\pi\) | |||||||
\(564\) | −12.6628 | + | 5.64045i | −0.533200 | + | 0.237506i | ||||
\(565\) | −4.51009 | + | 1.20847i | −0.189741 | + | 0.0508409i | ||||
\(566\) | 8.78179 | − | 18.4155i | 0.369126 | − | 0.774060i | ||||
\(567\) | 1.78773 | + | 1.95039i | 0.0750776 | + | 0.0819087i | ||||
\(568\) | −5.41400 | + | 8.83996i | −0.227166 | + | 0.370916i | ||||
\(569\) | 0.188299 | + | 0.108715i | 0.00789392 | + | 0.00455756i | 0.503942 | − | 0.863738i | \(-0.331883\pi\) |
−0.496048 | + | 0.868295i | \(0.665216\pi\) | |||||||
\(570\) | −0.109300 | − | 1.38726i | −0.00457805 | − | 0.0581058i | ||||
\(571\) | 3.33873 | − | 12.4603i | 0.139722 | − | 0.521448i | −0.860212 | − | 0.509936i | \(-0.829669\pi\) |
0.999934 | − | 0.0115117i | \(-0.00366438\pi\) | |||||||
\(572\) | −0.190206 | − | 1.19958i | −0.00795293 | − | 0.0501570i | ||||
\(573\) | 1.75587 | − | 1.75587i | 0.0733525 | − | 0.0733525i | ||||
\(574\) | 0.873315 | + | 24.8429i | 0.0364515 | + | 1.03692i | ||||
\(575\) | −14.1645 | −0.590702 | ||||||||
\(576\) | −0.414567 | + | 7.98925i | −0.0172736 | + | 0.332885i | ||||
\(577\) | 3.12867 | + | 5.41901i | 0.130248 | + | 0.225596i | 0.923772 | − | 0.382943i | \(-0.125089\pi\) |
−0.793524 | + | 0.608539i | \(0.791756\pi\) | |||||||
\(578\) | −4.88130 | + | 5.71626i | −0.203035 | + | 0.237765i | ||||
\(579\) | 0.329932 | + | 1.23132i | 0.0137115 | + | 0.0511721i | ||||
\(580\) | −6.03257 | + | 4.88680i | −0.250489 | + | 0.202913i | ||||
\(581\) | −16.3964 | + | 25.7455i | −0.680236 | + | 1.06810i | ||||
\(582\) | 14.9610 | + | 7.13443i | 0.620152 | + | 0.295732i | ||||
\(583\) | −0.673751 | − | 0.388991i | −0.0279039 | − | 0.0161103i | ||||
\(584\) | 36.6939 | + | 0.951394i | 1.51840 | + | 0.0393690i | ||||
\(585\) | −1.39543 | + | 0.805651i | −0.0576938 | + | 0.0333096i | ||||
\(586\) | −18.4524 | − | 26.8434i | −0.762261 | − | 1.10889i | ||||
\(587\) | −21.1521 | − | 21.1521i | −0.873040 | − | 0.873040i | 0.119763 | − | 0.992803i | \(-0.461787\pi\) |
−0.992803 | + | 0.119763i | \(0.961787\pi\) | |||||||
\(588\) | 13.7440 | + | 2.66494i | 0.566794 | + | 0.109900i | ||||
\(589\) | 5.83960 | − | 5.83960i | 0.240616 | − | 0.240616i | ||||
\(590\) | −1.14012 | + | 6.15450i | −0.0469381 | + | 0.253377i | ||||
\(591\) | −12.0600 | − | 20.8885i | −0.496081 | − | 0.859238i | ||||
\(592\) | 20.3358 | + | 10.3528i | 0.835795 | + | 0.425497i | ||||
\(593\) | 1.49024 | − | 2.58117i | 0.0611967 | − | 0.105996i | −0.833804 | − | 0.552061i | \(-0.813842\pi\) |
0.895001 | + | 0.446065i | \(0.147175\pi\) | |||||||
\(594\) | −0.306303 | + | 0.108497i | −0.0125678 | + | 0.00445169i | ||||
\(595\) | −4.65069 | − | 2.96186i | −0.190660 | − | 0.121424i | ||||
\(596\) | 43.0213 | + | 4.51424i | 1.76222 | + | 0.184911i | ||||
\(597\) | −14.0882 | + | 3.77492i | −0.576592 | + | 0.154497i | ||||
\(598\) | −11.4035 | + | 0.898463i | −0.466325 | + | 0.0367409i | ||||
\(599\) | 4.29387 | − | 2.47907i | 0.175443 | − | 0.101292i | −0.409707 | − | 0.912217i | \(-0.634369\pi\) |
0.585150 | + | 0.810925i | \(0.301036\pi\) | |||||||
\(600\) | 12.5527 | + | 3.71477i | 0.512463 | + | 0.151655i | ||||
\(601\) | − | 27.4349i | − | 1.11909i | −0.828799 | − | 0.559547i | \(-0.810975\pi\) | ||
0.828799 | − | 0.559547i | \(-0.189025\pi\) | |||||||
\(602\) | −4.91982 | − | 4.58567i | −0.200517 | − | 0.186898i | ||||
\(603\) | −10.4240 | − | 10.4240i | −0.424499 | − | 0.424499i | ||||
\(604\) | 36.4663 | − | 5.78211i | 1.48379 | − | 0.235271i | ||||
\(605\) | −6.44666 | − | 1.72738i | −0.262094 | − | 0.0702279i | ||||
\(606\) | −8.88407 | + | 10.4037i | −0.360891 | + | 0.422622i | ||||
\(607\) | 5.95919 | − | 10.3216i | 0.241876 | − | 0.418942i | −0.719373 | − | 0.694624i | \(-0.755571\pi\) |
0.961249 | + | 0.275683i | \(0.0889039\pi\) | |||||||
\(608\) | −5.55491 | + | 7.24574i | −0.225281 | + | 0.293854i | ||||
\(609\) | 12.4184 | − | 11.3827i | 0.503217 | − | 0.461249i | ||||
\(610\) | −2.15177 | − | 6.07475i | −0.0871226 | − | 0.245960i | ||||
\(611\) | 4.74119 | + | 17.6944i | 0.191808 | + | 0.715838i | ||||
\(612\) | −2.44892 | + | 6.38294i | −0.0989919 | + | 0.258015i | ||||
\(613\) | −8.65833 | + | 32.3133i | −0.349706 | + | 1.30512i | 0.537310 | + | 0.843385i | \(0.319440\pi\) |
−0.887017 | + | 0.461738i | \(0.847226\pi\) | |||||||
\(614\) | −13.9509 | + | 9.58996i | −0.563013 | + | 0.387019i | ||||
\(615\) | 4.05036i | 0.163326i | ||||||||
\(616\) | −0.960944 | + | 1.42590i | −0.0387175 | + | 0.0574512i | ||||
\(617\) | 17.0517i | 0.686477i | 0.939248 | + | 0.343238i | \(0.111524\pi\) | ||||
−0.939248 | + | 0.343238i | \(0.888476\pi\) | |||||||
\(618\) | 2.42139 | + | 3.52250i | 0.0974027 | + | 0.141696i | ||||
\(619\) | −1.79483 | + | 6.69840i | −0.0721403 | + | 0.269231i | −0.992570 | − | 0.121678i | \(-0.961173\pi\) |
0.920429 | + | 0.390909i | \(0.127839\pi\) | |||||||
\(620\) | −2.53863 | − | 5.69921i | −0.101954 | − | 0.228886i | ||||
\(621\) | 0.792092 | + | 2.95613i | 0.0317855 | + | 0.118625i | ||||
\(622\) | 29.3555 | − | 10.3982i | 1.17705 | − | 0.416929i | ||||
\(623\) | −31.9881 | − | 10.0807i | −1.28158 | − | 0.403873i | ||||
\(624\) | 10.3415 | + | 2.19445i | 0.413993 | + | 0.0878481i | ||||
\(625\) | 9.78143 | − | 16.9419i | 0.391257 | − | 0.677678i | ||||
\(626\) | −18.1343 | − | 15.4855i | −0.724792 | − | 0.618923i | ||||
\(627\) | −0.358216 | − | 0.0959836i | −0.0143058 | − | 0.00383322i | ||||
\(628\) | −7.01505 | − | 5.09489i | −0.279931 | − | 0.203308i | ||||
\(629\) | 13.7892 | + | 13.7892i | 0.549812 | + | 0.549812i | ||||
\(630\) | 2.22279 | + | 0.512628i | 0.0885582 | + | 0.0204236i | ||||
\(631\) | 44.8926i | 1.78715i | 0.448916 | + | 0.893574i | \(0.351810\pi\) | ||||
−0.448916 | + | 0.893574i | \(0.648190\pi\) | |||||||
\(632\) | 23.8874 | − | 12.9778i | 0.950190 | − | 0.516229i | ||||
\(633\) | 16.2279 | − | 9.36918i | 0.645001 | − | 0.372392i | ||||
\(634\) | −0.479125 | − | 6.08118i | −0.0190285 | − | 0.241514i | ||||
\(635\) | 4.41427 | − | 1.18280i | 0.175175 | − | 0.0469380i | ||||
\(636\) | 5.26185 | − | 4.26246i | 0.208646 | − | 0.169017i | ||||
\(637\) | 6.32250 | − | 17.3868i | 0.250507 | − | 0.688889i | ||||
\(638\) | 0.690814 | + | 1.95027i | 0.0273496 | + | 0.0772118i | ||||
\(639\) | 1.83249 | − | 3.17396i | 0.0724920 | − | 0.125560i | ||||
\(640\) | 3.60748 | + | 5.87893i | 0.142598 | + | 0.232385i | ||||
\(641\) | −22.5114 | − | 38.9909i | −0.889148 | − | 1.54005i | −0.840884 | − | 0.541215i | \(-0.817964\pi\) |
−0.0482640 | − | 0.998835i | \(-0.515369\pi\) | |||||||
\(642\) | 9.28664 | + | 1.72035i | 0.366514 | + | 0.0678968i | ||||
\(643\) | −12.4240 | + | 12.4240i | −0.489955 | + | 0.489955i | −0.908292 | − | 0.418337i | \(-0.862613\pi\) |
0.418337 | + | 0.908292i | \(0.362613\pi\) | |||||||
\(644\) | 12.6769 | + | 10.0771i | 0.499539 | + | 0.397092i | ||||
\(645\) | −0.774884 | − | 0.774884i | −0.0305110 | − | 0.0305110i | ||||
\(646\) | −6.42971 | + | 4.41983i | −0.252974 | + | 0.173896i | ||||
\(647\) | −14.7418 | + | 8.51117i | −0.579559 | + | 0.334609i | −0.760958 | − | 0.648801i | \(-0.775271\pi\) |
0.181399 | + | 0.983410i | \(0.441937\pi\) | |||||||
\(648\) | 0.0733105 | − | 2.82748i | 0.00287991 | − | 0.111074i | ||||
\(649\) | 1.44461 | + | 0.834046i | 0.0567059 | + | 0.0327392i | ||||
\(650\) | 7.44617 | − | 15.6147i | 0.292063 | − | 0.612458i | ||||
\(651\) | 6.25283 | + | 12.0073i | 0.245068 | + | 0.470602i | ||||
\(652\) | 3.91971 | − | 37.3553i | 0.153508 | − | 1.46295i | ||||
\(653\) | −4.62435 | − | 17.2583i | −0.180965 | − | 0.675369i | −0.995458 | − | 0.0951969i | \(-0.969652\pi\) |
0.814494 | − | 0.580172i | \(-0.197015\pi\) | |||||||
\(654\) | 15.8255 | + | 13.5139i | 0.618826 | + | 0.528435i | ||||
\(655\) | −1.56345 | − | 2.70797i | −0.0610889 | − | 0.105809i | ||||
\(656\) | 17.7751 | − | 19.7549i | 0.694000 | − | 0.771298i | ||||
\(657\) | −12.9776 | −0.506304 | ||||||||
\(658\) | 12.1699 | − | 22.9010i | 0.474431 | − | 0.892775i | ||||
\(659\) | 6.59895 | − | 6.59895i | 0.257058 | − | 0.257058i | −0.566798 | − | 0.823857i | \(-0.691818\pi\) |
0.823857 | + | 0.566798i | \(0.191818\pi\) | |||||||
\(660\) | −0.164640 | + | 0.226690i | −0.00640862 | + | 0.00882390i | ||||
\(661\) | 6.80281 | − | 25.3884i | 0.264599 | − | 0.987495i | −0.697897 | − | 0.716198i | \(-0.745881\pi\) |
0.962496 | − | 0.271297i | \(-0.0874526\pi\) | |||||||
\(662\) | −26.3428 | + | 2.07550i | −1.02384 | + | 0.0806666i | ||||
\(663\) | 7.82402 | + | 4.51720i | 0.303860 | + | 0.175434i | ||||
\(664\) | 31.7272 | − | 7.62568i | 1.23125 | − | 0.295934i | ||||
\(665\) | 1.75909 | + | 1.91914i | 0.0682145 | + | 0.0744212i | ||||
\(666\) | −7.28224 | − | 3.47268i | −0.282181 | − | 0.134564i | ||||
\(667\) | 18.8220 | − | 5.04334i | 0.728791 | − | 0.195279i | ||||
\(668\) | −14.8973 | + | 38.8287i | −0.576393 | + | 1.50233i | ||||
\(669\) | −2.02716 | − | 0.543175i | −0.0783744 | − | 0.0210003i | ||||
\(670\) | −12.4976 | − | 2.31518i | −0.482824 | − | 0.0894432i | ||||
\(671\) | −1.71749 | −0.0663031 | ||||||||
\(672\) | −8.59157 | − | 12.2550i | −0.331427 | − | 0.472747i | ||||
\(673\) | 35.1107 | 1.35342 | 0.676709 | − | 0.736250i | \(-0.263405\pi\) | ||||
0.676709 | + | 0.736250i | \(0.263405\pi\) | |||||||
\(674\) | −2.55014 | − | 0.472413i | −0.0982276 | − | 0.0181967i | ||||
\(675\) | −4.47061 | − | 1.19790i | −0.172074 | − | 0.0461070i | ||||
\(676\) | −4.30911 | + | 11.2314i | −0.165735 | + | 0.431976i | ||||
\(677\) | −3.18965 | + | 0.854664i | −0.122588 | + | 0.0328474i | −0.319591 | − | 0.947555i | \(-0.603546\pi\) |
0.197003 | + | 0.980403i | \(0.436879\pi\) | |||||||
\(678\) | −9.77630 | − | 4.66202i | −0.375457 | − | 0.179044i | ||||
\(679\) | −30.2729 | + | 6.71600i | −1.16177 | + | 0.257737i | ||||
\(680\) | 1.37751 | + | 5.73123i | 0.0528251 | + | 0.219783i | ||||
\(681\) | −13.0706 | − | 7.54632i | −0.500867 | − | 0.289176i | ||||
\(682\) | −1.65758 | + | 0.130598i | −0.0634719 | + | 0.00500084i | ||||
\(683\) | 4.36934 | − | 16.3066i | 0.167188 | − | 0.623955i | −0.830563 | − | 0.556925i | \(-0.811981\pi\) |
0.997751 | − | 0.0670298i | \(-0.0213522\pi\) | |||||||
\(684\) | 1.89690 | − | 2.61180i | 0.0725297 | − | 0.0998647i | ||||
\(685\) | −2.76589 | + | 2.76589i | −0.105679 | + | 0.105679i | ||||
\(686\) | −23.3306 | + | 11.9030i | −0.890768 | + | 0.454459i | ||||
\(687\) | −5.88342 | −0.224467 | ||||||||
\(688\) | 0.378760 | + | 7.17994i | 0.0144401 | + | 0.273732i | ||||
\(689\) | −4.47430 | − | 7.74971i | −0.170457 | − | 0.295241i | ||||
\(690\) | 2.00659 | + | 1.71349i | 0.0763897 | + | 0.0652316i | ||||
\(691\) | 12.1525 | + | 45.3538i | 0.462303 | + | 1.72534i | 0.665680 | + | 0.746238i | \(0.268142\pi\) |
−0.203377 | + | 0.979101i | \(0.565192\pi\) | |||||||
\(692\) | −3.70075 | + | 35.2686i | −0.140682 | + | 1.34071i | ||||
\(693\) | 0.326564 | − | 0.512769i | 0.0124051 | − | 0.0194785i | ||||
\(694\) | 12.3699 | − | 25.9399i | 0.469557 | − | 0.984664i | ||||
\(695\) | −1.09402 | − | 0.631632i | −0.0414985 | − | 0.0239592i | ||||
\(696\) | −18.0029 | − | 0.466776i | −0.682397 | − | 0.0176931i | ||||
\(697\) | 19.6674 | − | 11.3550i | 0.744957 | − | 0.430101i | ||||
\(698\) | −9.80480 | + | 6.73989i | −0.371117 | + | 0.255109i | ||||
\(699\) | 2.73744 | + | 2.73744i | 0.103539 | + | 0.103539i | ||||
\(700\) | −22.7838 | + | 8.98314i | −0.861145 | + | 0.339531i | ||||
\(701\) | −26.6000 | + | 26.6000i | −1.00467 | + | 1.00467i | −0.00467922 | + | 0.999989i | \(0.501489\pi\) |
−0.999989 | + | 0.00467922i | \(0.998511\pi\) | |||||||
\(702\) | −3.67517 | − | 0.680825i | −0.138710 | − | 0.0256961i | ||||
\(703\) | −4.60375 | − | 7.97393i | −0.173634 | − | 0.300742i | ||||
\(704\) | 1.79783 | − | 0.383111i | 0.0677584 | − | 0.0144390i | ||||
\(705\) | 2.11281 | − | 3.65949i | 0.0795730 | − | 0.137825i | ||||
\(706\) | 12.1159 | + | 34.2048i | 0.455986 | + | 1.28731i | ||||
\(707\) | 1.11267 | − | 25.5702i | 0.0418461 | − | 0.961667i | ||||
\(708\) | −11.2821 | + | 9.13926i | −0.424006 | + | 0.343474i | ||||
\(709\) | 12.6263 | − | 3.38321i | 0.474191 | − | 0.127059i | −0.0138053 | − | 0.999905i | \(-0.504395\pi\) |
0.487997 | + | 0.872846i | \(0.337728\pi\) | |||||||
\(710\) | −0.248194 | − | 3.15014i | −0.00931455 | − | 0.118223i | ||||
\(711\) | −8.32371 | + | 4.80570i | −0.312164 | + | 0.180228i | ||||
\(712\) | 17.1165 | + | 31.5052i | 0.641467 | + | 1.18071i | ||||
\(713\) | 15.6595i | 0.586454i | ||||||||
\(714\) | −3.74231 | − | 12.2304i | −0.140053 | − | 0.457711i | ||||
\(715\) | 0.261797 | + | 0.261797i | 0.00979065 | + | 0.00979065i | ||||
\(716\) | −18.5908 | − | 13.5021i | −0.694772 | − | 0.504599i | ||||
\(717\) | 16.6818 | + | 4.46987i | 0.622993 | + | 0.166931i | ||||
\(718\) | 29.0680 | + | 24.8221i | 1.08481 | + | 0.926351i | ||||
\(719\) | 13.0465 | − | 22.5972i | 0.486553 | − | 0.842735i | −0.513327 | − | 0.858193i | \(-0.671587\pi\) |
0.999881 | + | 0.0154581i | \(0.00492067\pi\) | |||||||
\(720\) | −1.32888 | − | 2.04476i | −0.0495245 | − | 0.0762037i | ||||
\(721\) | −7.62705 | − | 2.40357i | −0.284046 | − | 0.0895137i | ||||
\(722\) | −21.8555 | + | 7.74157i | −0.813379 | + | 0.288111i | ||||
\(723\) | 5.11092 | + | 19.0742i | 0.190077 | + | 0.709377i | ||||
\(724\) | −16.0237 | − | 35.9732i | −0.595516 | − | 1.33693i | ||||
\(725\) | −7.62714 | + | 28.4649i | −0.283265 | + | 1.05716i | ||||
\(726\) | −8.77002 | − | 12.7581i | −0.325486 | − | 0.473498i | ||||
\(727\) | 5.23353i | 0.194101i | 0.995279 | + | 0.0970505i | \(0.0309408\pi\) | ||||
−0.995279 | + | 0.0970505i | \(0.969059\pi\) | |||||||
\(728\) | −17.7729 | + | 8.67730i | −0.658706 | + | 0.321602i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −9.22073 | + | 6.33840i | −0.341274 | + | 0.234595i | ||||
\(731\) | −1.59027 | + | 5.93497i | −0.0588183 | + | 0.219513i | ||||
\(732\) | 5.35497 | − | 13.9573i | 0.197925 | − | 0.515878i | ||||
\(733\) | −11.2655 | − | 42.0435i | −0.416102 | − | 1.55291i | −0.782619 | − | 0.622501i | \(-0.786116\pi\) |
0.366517 | − | 0.930411i | \(-0.380550\pi\) | |||||||
\(734\) | −13.8033 | − | 38.9688i | −0.509491 | − | 1.43836i | ||||
\(735\) | −3.86725 | + | 1.80471i | −0.142646 | + | 0.0665677i | ||||
\(736\) | −2.26708 | − | 17.1632i | −0.0835657 | − | 0.632644i | ||||
\(737\) | −1.69365 | + | 2.93349i | −0.0623863 | + | 0.108056i | ||||
\(738\) | −6.10129 | + | 7.14494i | −0.224592 | + | 0.263009i | ||||
\(739\) | −33.5296 | − | 8.98423i | −1.23341 | − | 0.330490i | −0.417501 | − | 0.908676i | \(-0.637094\pi\) |
−0.815905 | + | 0.578186i | \(0.803761\pi\) | |||||||
\(740\) | −6.87020 | + | 1.08934i | −0.252554 | + | 0.0400451i | ||||
\(741\) | −3.01628 | − | 3.01628i | −0.110806 | − | 0.110806i | ||||
\(742\) | −2.84696 | + | 12.3446i | −0.104515 | + | 0.453185i | ||||
\(743\) | 17.9525i | 0.658613i | 0.944223 | + | 0.329307i | \(0.106815\pi\) | ||||
−0.944223 | + | 0.329307i | \(0.893185\pi\) | |||||||
\(744\) | 4.10685 | − | 13.8776i | 0.150564 | − | 0.508778i | ||||
\(745\) | −11.4196 | + | 6.59309i | −0.418381 | + | 0.241552i | ||||
\(746\) | −20.2566 | + | 1.59598i | −0.741648 | + | 0.0584331i | ||||
\(747\) | −11.1436 | + | 2.98592i | −0.407723 | + | 0.109249i | ||||
\(748\) | 1.56230 | + | 0.163933i | 0.0571235 | + | 0.00599400i | ||||
\(749\) | −15.6717 | + | 8.16108i | −0.572630 | + | 0.298199i | ||||
\(750\) | −7.82504 | + | 2.77175i | −0.285730 | + | 0.101210i | ||||
\(751\) | −11.5931 | + | 20.0798i | −0.423037 | + | 0.732721i | −0.996235 | − | 0.0866958i | \(-0.972369\pi\) |
0.573198 | + | 0.819417i | \(0.305703\pi\) | |||||||
\(752\) | −26.3645 | + | 8.57638i | −0.961416 | + | 0.312749i | ||||
\(753\) | 5.88110 | + | 10.1864i | 0.214319 | + | 0.371212i | ||||
\(754\) | −4.33489 | + | 23.4002i | −0.157867 | + | 0.852185i | ||||
\(755\) | −7.95840 | + | 7.95840i | −0.289636 | + | 0.289636i | ||||
\(756\) | 3.14886 | + | 4.25261i | 0.114523 | + | 0.154666i | ||||
\(757\) | −9.13432 | − | 9.13432i | −0.331993 | − | 0.331993i | 0.521350 | − | 0.853343i | \(-0.325429\pi\) |
−0.853343 | + | 0.521350i | \(0.825429\pi\) | |||||||
\(758\) | −13.6531 | − | 19.8617i | −0.495903 | − | 0.721411i | ||||
\(759\) | 0.608994 | − | 0.351603i | 0.0221051 | − | 0.0127624i | ||||
\(760\) | 0.0721360 | − | 2.78218i | 0.00261665 | − | 0.100920i | ||||
\(761\) | −22.6330 | − | 13.0672i | −0.820446 | − | 0.473685i | 0.0301242 | − | 0.999546i | \(-0.490410\pi\) |
−0.850570 | + | 0.525861i | \(0.823743\pi\) | |||||||
\(762\) | 9.56860 | + | 4.56298i | 0.346634 | + | 0.165299i | ||||
\(763\) | −38.8958 | − | 1.69252i | −1.40812 | − | 0.0612733i | ||||
\(764\) | 3.85904 | − | 3.12609i | 0.139615 | − | 0.113098i | ||||
\(765\) | −0.539380 | − | 2.01299i | −0.0195013 | − | 0.0727799i | ||||
\(766\) | −27.3462 | + | 32.0239i | −0.988059 | + | 1.15707i | ||||
\(767\) | 9.59347 | + | 16.6164i | 0.346400 | + | 0.599983i | ||||
\(768\) | −2.49208 | + | 15.8047i | −0.0899253 | + | 0.570304i | ||||
\(769\) | −10.1116 | −0.364634 | −0.182317 | − | 0.983240i | \(-0.558360\pi\) | ||||
−0.182317 | + | 0.983240i | \(0.558360\pi\) | |||||||
\(770\) | −0.0184143 | − | 0.523825i | −0.000663606 | − | 0.0188774i | ||||
\(771\) | −18.3726 | + | 18.3726i | −0.661673 | + | 0.661673i | ||||
\(772\) | 0.399266 | + | 2.51806i | 0.0143699 | + | 0.0906270i | ||||
\(773\) | 2.79494 | − | 10.4308i | 0.100527 | − | 0.375172i | −0.897272 | − | 0.441477i | \(-0.854455\pi\) |
0.997799 | + | 0.0663057i | \(0.0211213\pi\) | |||||||
\(774\) | −0.199662 | − | 2.53417i | −0.00717672 | − | 0.0910887i | ||||
\(775\) | −20.5094 | − | 11.8411i | −0.736720 | − | 0.425345i | ||||
\(776\) | 28.2695 | + | 17.3135i | 1.01481 | + | 0.621519i | ||||
\(777\) | 14.7353 | − | 3.26901i | 0.528627 | − | 0.117275i | ||||
\(778\) | 15.7542 | − | 33.0366i | 0.564815 | − | 1.18442i | ||||
\(779\) | −10.3573 | + | 2.77524i | −0.371090 | + | 0.0994333i | ||||
\(780\) | −2.94377 | + | 1.31126i | −0.105404 | + | 0.0469505i | ||||
\(781\) | −0.813425 | − | 0.217957i | −0.0291066 | − | 0.00779910i | ||||
\(782\) | 2.69486 | − | 14.5471i | 0.0963680 | − | 0.520205i | ||||
\(783\) | 6.36712 | 0.227542 | ||||||||
\(784\) | 26.7817 | + | 8.16935i | 0.956491 | + | 0.291763i | ||||
\(785\) | 2.64288 | 0.0943283 | ||||||||
\(786\) | 1.32121 | − | 7.13203i | 0.0471260 | − | 0.254391i | ||||
\(787\) | 9.86419 | + | 2.64310i | 0.351621 | + | 0.0942164i | 0.430306 | − | 0.902683i | \(-0.358406\pi\) |
−0.0786855 | + | 0.996899i | \(0.525072\pi\) | |||||||
\(788\) | −19.6285 | − | 44.0660i | −0.699237 | − | 1.56979i | ||||
\(789\) | 18.0205 | − | 4.82859i | 0.641549 | − | 0.171902i | ||||
\(790\) | −3.56694 | + | 7.47989i | −0.126906 | + | 0.266123i | ||||
\(791\) | 19.7820 | − | 4.38860i | 0.703366 | − | 0.156041i | ||||
\(792\) | −0.631906 | + | 0.151880i | −0.0224538 | + | 0.00539681i | ||||
\(793\) | −17.1085 | − | 9.87760i | −0.607541 | − | 0.350764i | ||||
\(794\) | 0.876771 | + | 11.1282i | 0.0311154 | + | 0.394925i | ||||
\(795\) | −0.534257 | + | 1.99387i | −0.0189481 | + | 0.0707154i | ||||
\(796\) | −28.8104 | + | 4.56820i | −1.02116 | + | 0.161916i | ||||
\(797\) | −3.09616 | + | 3.09616i | −0.109672 | + | 0.109672i | −0.759813 | − | 0.650141i | \(-0.774710\pi\) |
0.650141 | + | 0.759813i | \(0.274710\pi\) | |||||||
\(798\) | 0.212160 | + | 6.03523i | 0.00751037 | + | 0.213645i | ||||
\(799\) | −23.6926 | −0.838185 | ||||||||
\(800\) | 24.1930 | + | 10.0089i | 0.855353 | + | 0.353868i | ||||
\(801\) | −6.33826 | − | 10.9782i | −0.223951 | − | 0.387895i | ||||
\(802\) | −8.63957 | + | 10.1174i | −0.305074 | + | 0.357258i | ||||
\(803\) | 0.771780 | + | 2.88032i | 0.0272355 | + | 0.101644i | ||||
\(804\) | −18.5586 | − | 22.9099i | −0.654510 | − | 0.807969i | ||||
\(805\) | −4.93180 | − | 0.214603i | −0.173823 | − | 0.00756376i | ||||
\(806\) | −17.2627 | − | 8.23208i | −0.608054 | − | 0.289963i | ||||
\(807\) | −9.65890 | − | 5.57657i | −0.340009 | − | 0.196305i | ||||
\(808\) | −19.8425 | + | 18.8396i | −0.698058 | + | 0.662774i | ||||
\(809\) | −5.99922 | + | 3.46365i | −0.210922 | + | 0.121776i | −0.601740 | − | 0.798692i | \(-0.705525\pi\) |
0.390818 | + | 0.920468i | \(0.372192\pi\) | |||||||
\(810\) | 0.488411 | + | 0.710511i | 0.0171610 | + | 0.0249648i | ||||
\(811\) | 20.3073 | + | 20.3073i | 0.713086 | + | 0.713086i | 0.967180 | − | 0.254094i | \(-0.0817772\pi\) |
−0.254094 | + | 0.967180i | \(0.581777\pi\) | |||||||
\(812\) | 27.0768 | − | 20.0492i | 0.950211 | − | 0.703588i | ||||
\(813\) | 6.50664 | − | 6.50664i | 0.228198 | − | 0.228198i | ||||
\(814\) | −0.337671 | + | 1.82278i | −0.0118353 | + | 0.0638885i | ||||
\(815\) | 5.72477 | + | 9.91560i | 0.200530 | + | 0.347328i | ||||
\(816\) | −6.20332 | + | 12.1851i | −0.217160 | + | 0.426562i | ||||
\(817\) | 1.45055 | − | 2.51242i | 0.0507482 | − | 0.0878985i | ||||
\(818\) | −9.88302 | + | 3.50072i | −0.345552 | + | 0.122400i | ||||
\(819\) | 6.20203 | − | 3.22973i | 0.216716 | − | 0.112856i | ||||
\(820\) | −0.845372 | + | 8.05650i | −0.0295217 | + | 0.281345i | ||||
\(821\) | 0.803727 | − | 0.215358i | 0.0280503 | − | 0.00751605i | −0.244767 | − | 0.969582i | \(-0.578711\pi\) |
0.272817 | + | 0.962066i | \(0.412045\pi\) | |||||||
\(822\) | −9.04551 | + | 0.712679i | −0.315498 | + | 0.0248575i | ||||
\(823\) | 33.0249 | − | 19.0669i | 1.15118 | − | 0.664632i | 0.202003 | − | 0.979385i | \(-0.435255\pi\) |
0.949174 | + | 0.314753i | \(0.101922\pi\) | |||||||
\(824\) | 4.08114 | + | 7.51191i | 0.142173 | + | 0.261690i | ||||
\(825\) | 1.06347i | 0.0370253i | ||||||||
\(826\) | 6.10424 | − | 26.4684i | 0.212394 | − | 0.920955i | ||||
\(827\) | −3.92430 | − | 3.92430i | −0.136461 | − | 0.136461i | 0.635577 | − | 0.772038i | \(-0.280762\pi\) |
−0.772038 | + | 0.635577i | \(0.780762\pi\) | |||||||
\(828\) | 0.958545 | + | 6.04529i | 0.0333118 | + | 0.210088i | ||||
\(829\) | 17.7222 | + | 4.74865i | 0.615517 | + | 0.164927i | 0.553089 | − | 0.833122i | \(-0.313449\pi\) |
0.0624283 | + | 0.998049i | \(0.480116\pi\) | |||||||
\(830\) | −6.45930 | + | 7.56419i | −0.224206 | + | 0.262557i | ||||
\(831\) | −11.5001 | + | 19.9187i | −0.398933 | + | 0.690971i | ||||
\(832\) | 20.1121 | + | 6.52336i | 0.697262 | + | 0.226157i | ||||
\(833\) | 19.6048 | + | 13.7189i | 0.679266 | + | 0.475330i | ||||
\(834\) | −0.978413 | − | 2.76220i | −0.0338797 | − | 0.0956471i | ||||
\(835\) | −3.28115 | − | 12.2454i | −0.113549 | − | 0.423770i | ||||
\(836\) | −0.692487 | − | 0.265684i | −0.0239501 | − | 0.00918888i | ||||
\(837\) | −1.32433 | + | 4.94247i | −0.0457755 | + | 0.170837i | ||||
\(838\) | 5.36399 | − | 3.68725i | 0.185296 | − | 0.127374i | ||||
\(839\) | − | 18.8933i | − | 0.652271i | −0.945323 | − | 0.326135i | \(-0.894253\pi\) | ||
0.945323 | − | 0.326135i | \(-0.105747\pi\) | |||||||
\(840\) | 4.31432 | + | 1.48359i | 0.148858 | + | 0.0511887i | ||||
\(841\) | − | 11.5402i | − | 0.397936i | ||||||
\(842\) | 6.28075 | + | 9.13687i | 0.216449 | + | 0.314877i | ||||
\(843\) | 5.56893 | − | 20.7835i | 0.191804 | − | 0.715823i | ||||
\(844\) | 34.2341 | − | 15.2490i | 1.17839 | − | 0.524894i | ||||
\(845\) | −0.949088 | − | 3.54205i | −0.0326496 | − | 0.121850i | ||||
\(846\) | 9.23955 | − | 3.27279i | 0.317662 | − | 0.112521i | ||||
\(847\) | 27.6243 | + | 8.70547i | 0.949183 | + | 0.299123i | ||||
\(848\) | 11.3559 | − | 7.38014i | 0.389962 | − | 0.253435i | ||||
\(849\) | −7.21327 | + | 12.4937i | −0.247559 | + | 0.428784i | ||||
\(850\) | 17.0148 | + | 14.5295i | 0.583602 | + | 0.498356i | ||||
\(851\) | 16.8642 | + | 4.51876i | 0.578099 | + | 0.154901i | ||||
\(852\) | 4.30741 | − | 5.93079i | 0.147570 | − | 0.203186i | ||||
\(853\) | 1.19503 | + | 1.19503i | 0.0409172 | + | 0.0409172i | 0.727269 | − | 0.686352i | \(-0.240789\pi\) |
−0.686352 | + | 0.727269i | \(0.740789\pi\) | |||||||
\(854\) | 8.18317 | + | 26.7437i | 0.280022 | + | 0.915151i | ||||
\(855\) | 0.983979i | 0.0336514i | ||||||||
\(856\) | 18.1128 | + | 5.36018i | 0.619083 | + | 0.183207i | ||||
\(857\) | 17.4611 | − | 10.0812i | 0.596460 | − | 0.344367i | −0.171187 | − | 0.985238i | \(-0.554760\pi\) |
0.767648 | + | 0.640872i | \(0.221427\pi\) | |||||||
\(858\) | 0.0674566 | + | 0.856176i | 0.00230293 | + | 0.0292294i | ||||
\(859\) | −54.2356 | + | 14.5324i | −1.85050 | + | 0.495839i | −0.999566 | − | 0.0294418i | \(-0.990627\pi\) |
−0.850929 | + | 0.525281i | \(0.823960\pi\) | |||||||
\(860\) | −1.37958 | − | 1.70304i | −0.0470432 | − | 0.0580731i | ||||
\(861\) | 0.764144 | − | 17.5608i | 0.0260419 | − | 0.598471i | ||||
\(862\) | −15.1124 | − | 42.6644i | −0.514730 | − | 1.45316i | ||||
\(863\) | −0.730895 | + | 1.26595i | −0.0248800 | + | 0.0430933i | −0.878197 | − | 0.478299i | \(-0.841254\pi\) |
0.853317 | + | 0.521392i | \(0.174587\pi\) | |||||||
\(864\) | 0.735957 | − | 5.60878i | 0.0250378 | − | 0.190814i | ||||
\(865\) | −5.40498 | − | 9.36171i | −0.183775 | − | 0.318308i | ||||
\(866\) | 41.3296 | + | 7.65631i | 1.40444 | + | 0.260172i | ||||
\(867\) | 3.75841 | − | 3.75841i | 0.127642 | − | 0.127642i | ||||
\(868\) | 9.93128 | + | 25.1885i | 0.337090 | + | 0.854953i | ||||
\(869\) | 1.56162 | + | 1.56162i | 0.0529742 | + | 0.0529742i | ||||
\(870\) | 4.52391 | − | 3.10977i | 0.153375 | − | 0.105431i | ||||
\(871\) | −33.7419 | + | 19.4809i | −1.14330 | + | 0.660085i | ||||
\(872\) | 28.6576 | + | 30.1832i | 0.970470 | + | 1.02213i | ||||
\(873\) | −10.1501 | − | 5.86014i | −0.343528 | − | 0.198336i | ||||
\(874\) | −3.00676 | + | 6.30519i | −0.101705 | + | 0.213276i | ||||
\(875\) | 8.34264 | − | 13.0996i | 0.282033 | − | 0.442846i | ||||
\(876\) | −25.8135 | − | 2.70862i | −0.872157 | − | 0.0915158i | ||||
\(877\) | −4.43992 | − | 16.5700i | −0.149926 | − | 0.559530i | −0.999487 | − | 0.0320394i | \(-0.989800\pi\) |
0.849561 | − | 0.527490i | \(-0.176867\pi\) | |||||||
\(878\) | 8.70097 | + | 7.43004i | 0.293644 | + | 0.250752i | ||||
\(879\) | 11.5166 | + | 19.9474i | 0.388446 | + | 0.672808i | ||||
\(880\) | −0.374797 | + | 0.416542i | −0.0126344 | + | 0.0140416i | ||||
\(881\) | 29.7588 | 1.00260 | 0.501299 | − | 0.865274i | \(-0.332856\pi\) | ||||
0.501299 | + | 0.865274i | \(0.332856\pi\) | |||||||
\(882\) | −9.54046 | − | 2.64191i | −0.321244 | − | 0.0889577i | ||||
\(883\) | 13.6809 | − | 13.6809i | 0.460400 | − | 0.460400i | −0.438387 | − | 0.898786i | \(-0.644450\pi\) |
0.898786 | + | 0.438387i | \(0.144450\pi\) | |||||||
\(884\) | 14.6198 | + | 10.6181i | 0.491717 | + | 0.357124i | ||||
\(885\) | 1.14552 | − | 4.27512i | 0.0385061 | − | 0.143707i | ||||
\(886\) | 53.8190 | − | 4.24030i | 1.80809 | − | 0.142456i | ||||
\(887\) | 6.85058 | + | 3.95518i | 0.230020 | + | 0.132802i | 0.610581 | − | 0.791954i | \(-0.290936\pi\) |
−0.380561 | + | 0.924756i | \(0.624269\pi\) | |||||||
\(888\) | −13.7601 | − | 8.42735i | −0.461760 | − | 0.282803i | ||||
\(889\) | −19.3617 | + | 4.29537i | −0.649371 | + | 0.144062i | ||||
\(890\) | −9.86527 | − | 4.70445i | −0.330685 | − | 0.157694i | ||||
\(891\) | 0.221946 | − | 0.0594702i | 0.00743546 | − | 0.00199233i | ||||
\(892\) | −3.91881 | − | 1.50352i | −0.131211 | − | 0.0503414i | ||||
\(893\) | 10.8055 | + | 2.89532i | 0.361592 | + | 0.0968882i | ||||
\(894\) | −30.0760 | − | 5.57157i | −1.00589 | − | 0.186341i | ||||
\(895\) | 7.00397 | 0.234117 | ||||||||
\(896\) | −14.5315 | − | 26.1694i | −0.485464 | − | 0.874257i | ||||
\(897\) | 8.08850 | 0.270067 | ||||||||
\(898\) | 4.74940 | + | 0.879827i | 0.158490 | + | 0.0293602i | ||||
\(899\) | 31.4692 | + | 8.43216i | 1.04956 | + | 0.281228i | ||||
\(900\) | −8.64238 | − | 3.31579i | −0.288079 | − | 0.110526i | ||||
\(901\) | 11.1795 | − | 2.99552i | 0.372442 | − | 0.0997954i | ||||
\(902\) | 1.94863 | + | 0.929245i | 0.0648824 | + | 0.0309405i | ||||
\(903\) | 3.21341 | + | 3.50579i | 0.106936 | + | 0.116665i | ||||
\(904\) | −18.4728 | − | 11.3136i | −0.614396 | − | 0.376285i | ||||
\(905\) | 10.3961 | + | 6.00219i | 0.345578 | + | 0.199520i | ||||
\(906\) | −26.0270 | + | 2.05062i | −0.864690 | + | 0.0681273i | ||||
\(907\) | 6.06996 | − | 22.6534i | 0.201550 | − | 0.752194i | −0.788924 | − | 0.614491i | \(-0.789361\pi\) |
0.990474 | − | 0.137703i | \(-0.0439719\pi\) | |||||||
\(908\) | −24.4234 | − | 17.7383i | −0.810521 | − | 0.588665i | ||||
\(909\) | 6.84040 | − | 6.84040i | 0.226882 | − | 0.226882i | ||||
\(910\) | 2.82918 | − | 5.32389i | 0.0937863 | − | 0.176485i | ||||
\(911\) | 23.3024 | 0.772042 | 0.386021 | − | 0.922490i | \(-0.373849\pi\) | ||||
0.386021 | + | 0.922490i | \(0.373849\pi\) | |||||||
\(912\) | 4.31820 | − | 4.79917i | 0.142990 | − | 0.158916i | ||||
\(913\) | 1.32542 | + | 2.29570i | 0.0438652 | + | 0.0759767i | ||||
\(914\) | −43.2506 | − | 36.9330i | −1.43060 | − | 1.22164i | ||||
\(915\) | 1.17944 | + | 4.40174i | 0.0389911 | + | 0.145517i | ||||
\(916\) | −11.7026 | − | 1.22796i | −0.386665 | − | 0.0405729i | ||||
\(917\) | 6.26761 | + | 12.0357i | 0.206975 | + | 0.397453i | ||||
\(918\) | 2.08081 | − | 4.36347i | 0.0686768 | − | 0.144016i | ||||
\(919\) | 5.66767 | + | 3.27223i | 0.186959 | + | 0.107941i | 0.590558 | − | 0.806995i | \(-0.298908\pi\) |
−0.403599 | + | 0.914936i | \(0.632241\pi\) | |||||||
\(920\) | 3.63364 | + | 3.82708i | 0.119798 | + | 0.126175i | ||||
\(921\) | 10.3669 | − | 5.98535i | 0.341602 | − | 0.197224i | ||||
\(922\) | −20.7835 | + | 14.2867i | −0.684469 | + | 0.470509i | ||||
\(923\) | −6.84927 | − | 6.84927i | −0.225447 | − | 0.225447i | ||||
\(924\) | 0.756585 | − | 0.951779i | 0.0248898 | − | 0.0313112i | ||||
\(925\) | −18.6703 | + | 18.6703i | −0.613876 | + | 0.613876i | ||||
\(926\) | 49.4567 | + | 9.16187i | 1.62525 | + | 0.301078i | ||||
\(927\) | −1.51126 | − | 2.61757i | −0.0496361 | − | 0.0859723i | ||||
\(928\) | −35.7117 | − | 4.68592i | −1.17229 | − | 0.153823i | ||||
\(929\) | −23.2456 | + | 40.2625i | −0.762663 | + | 1.32097i | 0.178810 | + | 0.983884i | \(0.442775\pi\) |
−0.941473 | + | 0.337087i | \(0.890558\pi\) | |||||||
\(930\) | 1.47300 | + | 4.15849i | 0.0483016 | + | 0.136362i | ||||
\(931\) | −7.26466 | − | 8.65253i | −0.238090 | − | 0.283575i | ||||
\(932\) | 4.87364 | + | 6.01633i | 0.159641 | + | 0.197071i | ||||
\(933\) | −21.2709 | + | 5.69951i | −0.696377 | + | 0.186594i | ||||
\(934\) | −4.19398 | − | 53.2311i | −0.137231 | − | 1.74177i | ||||
\(935\) | −0.414698 | + | 0.239426i | −0.0135621 | + | 0.00783007i | ||||
\(936\) | −7.16810 | − | 2.12128i | −0.234297 | − | 0.0693361i | ||||
\(937\) | − | 43.7864i | − | 1.43044i | −0.698900 | − | 0.715219i | \(-0.746327\pi\) | ||
0.698900 | − | 0.715219i | \(-0.253673\pi\) | |||||||
\(938\) | 53.7479 | + | 12.3955i | 1.75493 | + | 0.404728i | ||||
\(939\) | 11.9232 | + | 11.9232i | 0.389099 | + | 0.389099i | ||||
\(940\) | 4.96634 | − | 6.83805i | 0.161984 | − | 0.223033i | ||||
\(941\) | 18.2307 | + | 4.88490i | 0.594303 | + | 0.159243i | 0.543419 | − | 0.839461i | \(-0.317129\pi\) |
0.0508841 | + | 0.998705i | \(0.483796\pi\) | |||||||
\(942\) | 4.66210 | + | 3.98111i | 0.151899 | + | 0.129712i | ||||
\(943\) | 10.1661 | − | 17.6082i | 0.331054 | − | 0.573403i | ||||
\(944\) | −24.3485 | + | 15.8240i | −0.792475 | + | 0.515026i | ||||
\(945\) | −1.53843 | − | 0.484816i | −0.0500450 | − | 0.0157711i | ||||
\(946\) | −0.550573 | + | 0.195022i | −0.0179007 | + | 0.00634070i | ||||
\(947\) | −0.307202 | − | 1.14649i | −0.00998273 | − | 0.0372561i | 0.960755 | − | 0.277399i | \(-0.0894724\pi\) |
−0.970738 | + | 0.240143i | \(0.922806\pi\) | |||||||
\(948\) | −17.5596 | + | 7.82163i | −0.570308 | + | 0.254035i | ||||
\(949\) | −8.87727 | + | 33.1304i | −0.288168 | + | 1.07546i | ||||
\(950\) | −5.98437 | − | 8.70570i | −0.194159 | − | 0.282450i | ||||
\(951\) | 4.31337i | 0.139870i | ||||||||
\(952\) | −4.89109 | − | 25.1083i | −0.158521 | − | 0.813764i | ||||
\(953\) | 56.0870i | 1.81684i | 0.418063 | + | 0.908418i | \(0.362709\pi\) | ||||
−0.418063 | + | 0.908418i | \(0.637291\pi\) | |||||||
\(954\) | −3.94593 | + | 2.71246i | −0.127754 | + | 0.0878191i | ||||
\(955\) | −0.391824 | + | 1.46231i | −0.0126791 | + | 0.0473192i | ||||
\(956\) | 32.2485 | + | 12.3727i | 1.04299 | + | 0.400161i | ||||
\(957\) | −0.378653 | − | 1.41315i | −0.0122401 | − | 0.0456808i | ||||
\(958\) | 18.9400 | + | 53.4704i | 0.611924 | + | 1.72755i | ||||
\(959\) | 12.5136 | − | 11.4700i | 0.404086 | − | 0.370386i | ||||
\(960\) | −2.21648 | − | 4.34455i | −0.0715366 | − | 0.140220i | ||||
\(961\) | 2.40910 | − | 4.17268i | 0.0777128 | − | 0.134602i | ||||
\(962\) | −13.8468 | + | 16.2153i | −0.446438 | + | 0.522802i | ||||
\(963\) | −6.45081 | − | 1.72849i | −0.207874 | − | 0.0556998i | ||||
\(964\) | 6.18495 | + | 39.0068i | 0.199204 | + | 1.25633i | ||||
\(965\) | −0.549542 | − | 0.549542i | −0.0176904 | − | 0.0176904i | ||||
\(966\) | −8.37654 | − | 7.80761i | −0.269511 | − | 0.251206i | ||||
\(967\) | 25.1251i | 0.807970i | 0.914766 | + | 0.403985i | \(0.132375\pi\) | ||||
−0.914766 | + | 0.403985i | \(0.867625\pi\) | |||||||
\(968\) | −14.7815 | − | 27.2073i | −0.475094 | − | 0.874477i | ||||
\(969\) | 4.77792 | − | 2.75854i | 0.153489 | − | 0.0886169i | ||||
\(970\) | −10.0739 | + | 0.793704i | −0.323453 | + | 0.0254843i | ||||
\(971\) | 58.2436 | − | 15.6063i | 1.86913 | − | 0.500831i | 0.869147 | − | 0.494555i | \(-0.164669\pi\) |
0.999980 | − | 0.00627639i | \(-0.00199785\pi\) | |||||||
\(972\) | −0.208715 | + | 1.98908i | −0.00669454 | + | 0.0637998i | ||||
\(973\) | 4.62408 | + | 2.94491i | 0.148241 | + | 0.0944095i | ||||
\(974\) | −10.8422 | + | 3.84047i | −0.347406 | + | 0.123057i | ||||
\(975\) | −6.11620 | + | 10.5936i | −0.195875 | + | 0.339266i | ||||
\(976\) | 13.5646 | − | 26.6446i | 0.434191 | − | 0.852873i | ||||
\(977\) | −12.3663 | − | 21.4191i | −0.395634 | − | 0.685258i | 0.597548 | − | 0.801833i | \(-0.296142\pi\) |
−0.993182 | + | 0.116575i | \(0.962808\pi\) | |||||||
\(978\) | −4.83779 | + | 26.1149i | −0.154696 | + | 0.835063i | ||||
\(979\) | −2.05962 | + | 2.05962i | −0.0658259 | + | 0.0658259i | ||||
\(980\) | −8.06894 | + | 2.78255i | −0.257753 | + | 0.0888855i | ||||
\(981\) | −10.4052 | − | 10.4052i | −0.332212 | − | 0.332212i | ||||
\(982\) | −3.18083 | − | 4.62728i | −0.101504 | − | 0.147663i | ||||
\(983\) | 52.9362 | − | 30.5627i | 1.68840 | − | 0.974800i | 0.732662 | − | 0.680593i | \(-0.238278\pi\) |
0.955742 | − | 0.294207i | \(-0.0950557\pi\) | |||||||
\(984\) | −13.6272 | + | 12.9384i | −0.434420 | + | 0.412462i | ||||
\(985\) | 12.7349 | + | 7.35249i | 0.405767 | + | 0.234270i | ||||
\(986\) | −27.7827 | − | 13.2487i | −0.884781 | − | 0.421926i | ||||
\(987\) | −9.85072 | + | 15.4675i | −0.313552 | + | 0.492337i | ||||
\(988\) | −5.37008 | − | 6.62917i | −0.170845 | − | 0.210902i | ||||
\(989\) | 1.42377 | + | 5.31358i | 0.0452732 | + | 0.168962i | ||||
\(990\) | 0.128649 | − | 0.150655i | 0.00408873 | − | 0.00478813i | ||||
\(991\) | −19.4798 | − | 33.7401i | −0.618798 | − | 1.07179i | −0.989705 | − | 0.143119i | \(-0.954287\pi\) |
0.370908 | − | 0.928670i | \(-0.379047\pi\) | |||||||
\(992\) | 11.0653 | − | 26.7465i | 0.351324 | − | 0.849203i | ||||
\(993\) | 18.6849 | 0.592947 | ||||||||
\(994\) | 0.481765 | + | 13.7046i | 0.0152807 | + | 0.434684i | ||||
\(995\) | 6.28760 | − | 6.28760i | 0.199330 | − | 0.199330i | ||||
\(996\) | −22.7887 | + | 3.61340i | −0.722089 | + | 0.114495i | ||||
\(997\) | 1.46714 | − | 5.47543i | 0.0464647 | − | 0.173409i | −0.938794 | − | 0.344478i | \(-0.888056\pi\) |
0.985259 | + | 0.171070i | \(0.0547224\pi\) | |||||||
\(998\) | −2.05331 | − | 26.0612i | −0.0649965 | − | 0.824952i | ||||
\(999\) | 4.94054 | + | 2.85242i | 0.156312 | + | 0.0902466i |
(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 | 336.2.bq.b.37.1 | ✓ | 120 | |
7.4 | even | 3 | inner | 336.2.bq.b.277.22 | yes | 120 | |
16.13 | even | 4 | inner | 336.2.bq.b.205.22 | yes | 120 | |
112.109 | even | 12 | inner | 336.2.bq.b.109.1 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bq.b.37.1 | ✓ | 120 | 1.1 | even | 1 | trivial | |
336.2.bq.b.109.1 | yes | 120 | 112.109 | even | 12 | inner | |
336.2.bq.b.205.22 | yes | 120 | 16.13 | even | 4 | inner | |
336.2.bq.b.277.22 | yes | 120 | 7.4 | even | 3 | inner |