Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(4,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bs (of order \(30\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 101.18 | ||
Character | \(\chi\) | \(=\) | 403.101 |
Dual form | 403.2.bs.a.4.18 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.00361138 | − | 0.0169902i | −0.00255363 | − | 0.0120139i | 0.976852 | − | 0.213915i | \(-0.0686215\pi\) |
−0.979406 | + | 0.201901i | \(0.935288\pi\) | |||||||
\(3\) | −2.04909 | + | 2.27575i | −1.18304 | + | 1.31390i | −0.244134 | + | 0.969742i | \(0.578504\pi\) |
−0.938910 | + | 0.344162i | \(0.888163\pi\) | |||||||
\(4\) | 1.82682 | − | 0.813351i | 0.913408 | − | 0.406675i | ||||
\(5\) | − | 1.58318i | − | 0.708018i | −0.935242 | − | 0.354009i | \(-0.884818\pi\) | ||
0.935242 | − | 0.354009i | \(-0.115182\pi\) | |||||||
\(6\) | 0.0460655 | + | 0.0265959i | 0.0188062 | + | 0.0108577i | ||||
\(7\) | −0.684412 | − | 1.53721i | −0.258683 | − | 0.581012i | 0.736783 | − | 0.676129i | \(-0.236344\pi\) |
−0.995466 | + | 0.0951174i | \(0.969677\pi\) | |||||||
\(8\) | −0.0408357 | − | 0.0562056i | −0.0144376 | − | 0.0198717i | ||||
\(9\) | −0.666663 | − | 6.34287i | −0.222221 | − | 2.11429i | ||||
\(10\) | −0.0268985 | + | 0.00571745i | −0.00850605 | + | 0.00180802i | ||||
\(11\) | −3.90292 | − | 0.410213i | −1.17677 | − | 0.123684i | −0.504115 | − | 0.863637i | \(-0.668181\pi\) |
−0.672659 | + | 0.739953i | \(0.734848\pi\) | |||||||
\(12\) | −1.89233 | + | 5.82400i | −0.546269 | + | 1.68124i | ||||
\(13\) | −3.21245 | − | 1.63712i | −0.890973 | − | 0.454056i | ||||
\(14\) | −0.0236459 | + | 0.0171798i | −0.00631964 | + | 0.00459149i | ||||
\(15\) | 3.60291 | + | 3.24407i | 0.930267 | + | 0.837616i | ||||
\(16\) | 2.67531 | − | 2.97123i | 0.668828 | − | 0.742809i | ||||
\(17\) | −0.290680 | − | 2.76563i | −0.0705002 | − | 0.670764i | −0.971515 | − | 0.236977i | \(-0.923843\pi\) |
0.901015 | − | 0.433788i | \(-0.142823\pi\) | |||||||
\(18\) | −0.105359 | + | 0.0342333i | −0.0248334 | + | 0.00806886i | ||||
\(19\) | −0.583515 | + | 0.525399i | −0.133868 | + | 0.120535i | −0.733345 | − | 0.679857i | \(-0.762042\pi\) |
0.599477 | + | 0.800392i | \(0.295375\pi\) | |||||||
\(20\) | −1.28768 | − | 2.89217i | −0.287933 | − | 0.646709i | ||||
\(21\) | 4.90073 | + | 1.59234i | 1.06943 | + | 0.347478i | ||||
\(22\) | 0.00712531 | + | 0.0677928i | 0.00151912 | + | 0.0144535i | ||||
\(23\) | −6.33244 | − | 2.81938i | −1.32041 | − | 0.587882i | −0.379074 | − | 0.925366i | \(-0.623757\pi\) |
−0.941331 | + | 0.337484i | \(0.890424\pi\) | |||||||
\(24\) | 0.211586 | + | 0.0222386i | 0.0431898 | + | 0.00453943i | ||||
\(25\) | 2.49356 | 0.498711 | ||||||||
\(26\) | −0.0162137 | + | 0.0604925i | −0.00317977 | + | 0.0118636i | ||||
\(27\) | 8.36842 | + | 6.08001i | 1.61050 | + | 1.17010i | ||||
\(28\) | −2.50059 | − | 2.25154i | −0.472567 | − | 0.425501i | ||||
\(29\) | 7.80463 | − | 1.65892i | 1.44928 | − | 0.308055i | 0.584989 | − | 0.811041i | \(-0.301099\pi\) |
0.864294 | + | 0.502987i | \(0.167766\pi\) | |||||||
\(30\) | 0.0421060 | − | 0.0729298i | 0.00768747 | − | 0.0133151i | ||||
\(31\) | 5.48285 | + | 0.968681i | 0.984749 | + | 0.173980i | ||||
\(32\) | −0.180476 | − | 0.104198i | −0.0319039 | − | 0.0184197i | ||||
\(33\) | 8.93098 | − | 8.04149i | 1.55468 | − | 1.39984i | ||||
\(34\) | −0.0459389 | + | 0.0149265i | −0.00787846 | + | 0.00255987i | ||||
\(35\) | −2.43368 | + | 1.08354i | −0.411367 | + | 0.183152i | ||||
\(36\) | −6.37685 | − | 11.0450i | −1.06281 | − | 1.84084i | ||||
\(37\) | −2.59348 | + | 1.49734i | −0.426365 | + | 0.246162i | −0.697797 | − | 0.716296i | \(-0.745836\pi\) |
0.271432 | + | 0.962458i | \(0.412503\pi\) | |||||||
\(38\) | 0.0110339 | + | 0.00801663i | 0.00178994 | + | 0.00130047i | ||||
\(39\) | 10.3083 | − | 3.95611i | 1.65065 | − | 0.633484i | ||||
\(40\) | −0.0889833 | + | 0.0646501i | −0.0140695 | + | 0.0102221i | ||||
\(41\) | −1.09741 | − | 5.16290i | −0.171387 | − | 0.806310i | −0.976894 | − | 0.213725i | \(-0.931440\pi\) |
0.805507 | − | 0.592586i | \(-0.201893\pi\) | |||||||
\(42\) | 0.00935586 | − | 0.0890151i | 0.00144364 | − | 0.0137353i | ||||
\(43\) | −1.21969 | − | 1.35461i | −0.186001 | − | 0.206575i | 0.642931 | − | 0.765924i | \(-0.277718\pi\) |
−0.828933 | + | 0.559348i | \(0.811051\pi\) | |||||||
\(44\) | −7.46355 | + | 2.42506i | −1.12517 | + | 0.365591i | ||||
\(45\) | −10.0419 | + | 1.05544i | −1.49695 | + | 0.157336i | ||||
\(46\) | −0.0250331 | + | 0.117771i | −0.00369093 | + | 0.0173644i | ||||
\(47\) | −7.70331 | + | 2.50296i | −1.12364 | + | 0.365094i | −0.811157 | − | 0.584828i | \(-0.801162\pi\) |
−0.312486 | + | 0.949922i | \(0.601162\pi\) | |||||||
\(48\) | 1.27982 | + | 12.1767i | 0.184726 | + | 1.75755i | ||||
\(49\) | 2.78931 | − | 3.09784i | 0.398473 | − | 0.442549i | ||||
\(50\) | −0.00900518 | − | 0.0423661i | −0.00127353 | − | 0.00599147i | ||||
\(51\) | 6.88951 | + | 5.00552i | 0.964725 | + | 0.700913i | ||||
\(52\) | −7.20011 | − | 0.377873i | −0.998475 | − | 0.0524016i | ||||
\(53\) | 1.90563 | − | 1.38452i | 0.261758 | − | 0.190178i | −0.449164 | − | 0.893449i | \(-0.648278\pi\) |
0.710922 | + | 0.703271i | \(0.248278\pi\) | |||||||
\(54\) | 0.0730792 | − | 0.164139i | 0.00994482 | − | 0.0223364i | ||||
\(55\) | −0.649439 | + | 6.17900i | −0.0875703 | + | 0.833176i | ||||
\(56\) | −0.0584515 | + | 0.101241i | −0.00781091 | + | 0.0135289i | ||||
\(57\) | − | 2.40452i | − | 0.318487i | ||||||
\(58\) | −0.0563710 | − | 0.126611i | −0.00740187 | − | 0.0166249i | ||||
\(59\) | −1.88307 | + | 8.85914i | −0.245155 | + | 1.15336i | 0.667494 | + | 0.744616i | \(0.267367\pi\) |
−0.912648 | + | 0.408746i | \(0.865966\pi\) | |||||||
\(60\) | 9.22042 | + | 2.99589i | 1.19035 | + | 0.386768i | ||||
\(61\) | −4.09751 | + | 7.09710i | −0.524633 | + | 0.908690i | 0.474956 | + | 0.880010i | \(0.342464\pi\) |
−0.999589 | + | 0.0286809i | \(0.990869\pi\) | |||||||
\(62\) | −0.00334257 | − | 0.0966531i | −0.000424507 | − | 0.0122750i | ||||
\(63\) | −9.29407 | + | 5.36594i | −1.17094 | + | 0.676044i | ||||
\(64\) | 2.46990 | − | 7.60157i | 0.308737 | − | 0.950196i | ||||
\(65\) | −2.59185 | + | 5.08587i | −0.321480 | + | 0.630825i | ||||
\(66\) | −0.168880 | − | 0.122698i | −0.0207877 | − | 0.0151031i | ||||
\(67\) | 5.25930 | − | 3.03646i | 0.642526 | − | 0.370962i | −0.143061 | − | 0.989714i | \(-0.545695\pi\) |
0.785587 | + | 0.618752i | \(0.212361\pi\) | |||||||
\(68\) | −2.78045 | − | 4.81588i | −0.337179 | − | 0.584011i | ||||
\(69\) | 19.3920 | − | 8.63386i | 2.33452 | − | 1.03939i | ||||
\(70\) | 0.0271986 | + | 0.0374356i | 0.00325085 | + | 0.00447441i | ||||
\(71\) | −12.6463 | + | 1.32918i | −1.50084 | + | 0.157745i | −0.819018 | − | 0.573768i | \(-0.805481\pi\) |
−0.681827 | + | 0.731514i | \(0.738814\pi\) | |||||||
\(72\) | −0.329281 | + | 0.296486i | −0.0388061 | + | 0.0349412i | ||||
\(73\) | −5.59204 | + | 7.69679i | −0.654499 | + | 0.900841i | −0.999284 | − | 0.0378409i | \(-0.987952\pi\) |
0.344784 | + | 0.938682i | \(0.387952\pi\) | |||||||
\(74\) | 0.0348062 | + | 0.0386562i | 0.00404614 | + | 0.00449370i | ||||
\(75\) | −5.10953 | + | 5.67470i | −0.589997 | + | 0.655258i | ||||
\(76\) | −0.638640 | + | 1.43441i | −0.0732571 | + | 0.164538i | ||||
\(77\) | 2.04062 | + | 6.28037i | 0.232550 | + | 0.715714i | ||||
\(78\) | −0.104442 | − | 0.160853i | −0.0118258 | − | 0.0182130i | ||||
\(79\) | 8.58846 | − | 6.23988i | 0.966277 | − | 0.702042i | 0.0116772 | − | 0.999932i | \(-0.496283\pi\) |
0.954600 | + | 0.297890i | \(0.0962830\pi\) | |||||||
\(80\) | −4.70398 | − | 4.23549i | −0.525921 | − | 0.473542i | ||||
\(81\) | −12.2689 | + | 2.60784i | −1.36321 | + | 0.289760i | ||||
\(82\) | −0.0837557 | + | 0.0372904i | −0.00924927 | + | 0.00411804i | ||||
\(83\) | 11.7251 | + | 3.80972i | 1.28700 | + | 0.418171i | 0.871040 | − | 0.491213i | \(-0.163446\pi\) |
0.415958 | + | 0.909384i | \(0.363446\pi\) | |||||||
\(84\) | 10.2479 | − | 1.07709i | 1.11813 | − | 0.117521i | ||||
\(85\) | −4.37848 | + | 0.460197i | −0.474913 | + | 0.0499154i | ||||
\(86\) | −0.0186103 | + | 0.0256148i | −0.00200680 | + | 0.00276212i | ||||
\(87\) | −12.2171 | + | 21.1607i | −1.30981 | + | 2.26866i | ||||
\(88\) | 0.136322 | + | 0.236117i | 0.0145320 | + | 0.0251702i | ||||
\(89\) | −4.14097 | − | 0.435233i | −0.438942 | − | 0.0461346i | −0.117519 | − | 0.993071i | \(-0.537494\pi\) |
−0.321422 | + | 0.946936i | \(0.604161\pi\) | |||||||
\(90\) | 0.0541973 | + | 0.166802i | 0.00571289 | + | 0.0175825i | ||||
\(91\) | −0.317970 | + | 6.05869i | −0.0333323 | + | 0.635123i | ||||
\(92\) | −13.8613 | −1.44515 | ||||||||
\(93\) | −13.4393 | + | 10.4927i | −1.39360 | + | 1.08804i | ||||
\(94\) | 0.0703454 | + | 0.121842i | 0.00725557 | + | 0.0125670i | ||||
\(95\) | 0.831799 | + | 0.923807i | 0.0853408 | + | 0.0947806i | ||||
\(96\) | 0.606940 | − | 0.197207i | 0.0619455 | − | 0.0201273i | ||||
\(97\) | −2.22495 | − | 4.99732i | −0.225910 | − | 0.507401i | 0.764656 | − | 0.644438i | \(-0.222909\pi\) |
−0.990566 | + | 0.137037i | \(0.956242\pi\) | |||||||
\(98\) | −0.0627062 | − | 0.0362035i | −0.00633429 | − | 0.00365710i | ||||
\(99\) | 25.0292i | 2.51553i | ||||||||
\(100\) | 4.55527 | − | 2.02814i | 0.455527 | − | 0.202814i | ||||
\(101\) | −4.22765 | − | 1.88227i | −0.420667 | − | 0.187293i | 0.185476 | − | 0.982649i | \(-0.440617\pi\) |
−0.606143 | + | 0.795356i | \(0.707284\pi\) | |||||||
\(102\) | 0.0601643 | − | 0.135131i | 0.00595715 | − | 0.0133800i | ||||
\(103\) | 3.19532 | − | 9.83418i | 0.314844 | − | 0.968990i | −0.660975 | − | 0.750408i | \(-0.729857\pi\) |
0.975819 | − | 0.218582i | \(-0.0701431\pi\) | |||||||
\(104\) | 0.0391673 | + | 0.247411i | 0.00384067 | + | 0.0242606i | ||||
\(105\) | 2.52096 | − | 7.75872i | 0.246021 | − | 0.757173i | ||||
\(106\) | −0.0304052 | − | 0.0273770i | −0.00295322 | − | 0.00265909i | ||||
\(107\) | −9.97069 | − | 4.43924i | −0.963903 | − | 0.429157i | −0.136422 | − | 0.990651i | \(-0.543560\pi\) |
−0.827481 | + | 0.561493i | \(0.810227\pi\) | |||||||
\(108\) | 20.2327 | + | 4.30060i | 1.94690 | + | 0.413826i | ||||
\(109\) | 6.09182 | − | 1.97935i | 0.583491 | − | 0.189588i | −0.00237291 | − | 0.999997i | \(-0.500755\pi\) |
0.585864 | + | 0.810409i | \(0.300755\pi\) | |||||||
\(110\) | 0.107328 | − | 0.0112806i | 0.0102333 | − | 0.00107556i | ||||
\(111\) | 1.90669 | − | 8.97029i | 0.180975 | − | 0.851422i | ||||
\(112\) | −6.39843 | − | 2.07898i | −0.604595 | − | 0.196445i | ||||
\(113\) | 1.56981 | − | 0.698924i | 0.147675 | − | 0.0657492i | −0.331568 | − | 0.943431i | \(-0.607578\pi\) |
0.479243 | + | 0.877682i | \(0.340911\pi\) | |||||||
\(114\) | −0.0408534 | + | 0.00868366i | −0.00382627 | + | 0.000813299i | ||||
\(115\) | −4.46358 | + | 10.0254i | −0.416231 | + | 0.934870i | ||||
\(116\) | 12.9083 | − | 9.37845i | 1.19851 | − | 0.870767i | ||||
\(117\) | −8.24244 | + | 21.4676i | −0.762014 | + | 1.98468i | ||||
\(118\) | 0.157319 | 0.0144824 | ||||||||
\(119\) | −4.05242 | + | 2.33967i | −0.371485 | + | 0.214477i | ||||
\(120\) | 0.0352076 | − | 0.334978i | 0.00321400 | − | 0.0305791i | ||||
\(121\) | 4.30485 | + | 0.915025i | 0.391350 | + | 0.0831841i | ||||
\(122\) | 0.135379 | + | 0.0439873i | 0.0122566 | + | 0.00398242i | ||||
\(123\) | 13.9982 | + | 8.08184i | 1.26217 | + | 0.728715i | ||||
\(124\) | 10.8040 | − | 2.68988i | 0.970231 | − | 0.241558i | ||||
\(125\) | − | 11.8636i | − | 1.06111i | ||||||
\(126\) | 0.124733 | + | 0.138530i | 0.0111121 | + | 0.0123412i | ||||
\(127\) | 11.8257 | − | 13.1338i | 1.04936 | − | 1.16543i | 0.0634818 | − | 0.997983i | \(-0.479780\pi\) |
0.985880 | − | 0.167452i | \(-0.0535538\pi\) | |||||||
\(128\) | −0.552580 | − | 0.0580785i | −0.0488416 | − | 0.00513346i | ||||
\(129\) | 5.58200 | 0.491468 | ||||||||
\(130\) | 0.0957702 | + | 0.0256691i | 0.00839960 | + | 0.00225133i | ||||
\(131\) | 8.06471 | + | 5.85936i | 0.704617 | + | 0.511934i | 0.881433 | − | 0.472310i | \(-0.156580\pi\) |
−0.176815 | + | 0.984244i | \(0.556580\pi\) | |||||||
\(132\) | 9.77470 | − | 21.9543i | 0.850778 | − | 1.91088i | ||||
\(133\) | 1.20702 | + | 0.537398i | 0.104662 | + | 0.0465983i | ||||
\(134\) | −0.0705834 | − | 0.0783908i | −0.00609748 | − | 0.00677194i | ||||
\(135\) | 9.62573 | − | 13.2487i | 0.828451 | − | 1.14026i | ||||
\(136\) | −0.143574 | + | 0.129274i | −0.0123114 | + | 0.0110852i | ||||
\(137\) | 1.42972 | − | 6.72629i | 0.122149 | − | 0.574666i | −0.873919 | − | 0.486072i | \(-0.838429\pi\) |
0.996068 | − | 0.0885939i | \(-0.0282373\pi\) | |||||||
\(138\) | −0.216723 | − | 0.298294i | −0.0184487 | − | 0.0253924i | ||||
\(139\) | 14.9997 | + | 3.18828i | 1.27226 | + | 0.270426i | 0.794067 | − | 0.607830i | \(-0.207960\pi\) |
0.478189 | + | 0.878257i | \(0.341293\pi\) | |||||||
\(140\) | −3.56458 | + | 3.95887i | −0.301262 | + | 0.334585i | ||||
\(141\) | 10.0887 | − | 22.6596i | 0.849621 | − | 1.90828i | ||||
\(142\) | 0.0682539 | + | 0.210064i | 0.00572774 | + | 0.0176282i | ||||
\(143\) | 11.8663 | + | 7.70734i | 0.992314 | + | 0.644520i | ||||
\(144\) | −20.6297 | − | 14.9883i | −1.71914 | − | 1.24903i | ||||
\(145\) | −2.62637 | − | 12.3561i | −0.218108 | − | 1.02612i | ||||
\(146\) | 0.150965 | + | 0.0672140i | 0.0124940 | + | 0.00556267i | ||||
\(147\) | 1.33435 | + | 12.6955i | 0.110056 | + | 1.04711i | ||||
\(148\) | −3.51994 | + | 4.84478i | −0.289337 | + | 0.398238i | ||||
\(149\) | −13.5648 | − | 7.83165i | −1.11127 | − | 0.641594i | −0.172114 | − | 0.985077i | \(-0.555060\pi\) |
−0.939159 | + | 0.343483i | \(0.888393\pi\) | |||||||
\(150\) | 0.114867 | + | 0.0663184i | 0.00937885 | + | 0.00541488i | ||||
\(151\) | −8.58432 | + | 11.8153i | −0.698582 | + | 0.961516i | 0.301386 | + | 0.953502i | \(0.402551\pi\) |
−0.999968 | + | 0.00801353i | \(0.997449\pi\) | |||||||
\(152\) | 0.0533586 | + | 0.0113417i | 0.00432796 | + | 0.000919936i | ||||
\(153\) | −17.3483 | + | 3.68749i | −1.40252 | + | 0.298116i | ||||
\(154\) | 0.0993354 | − | 0.0573513i | 0.00800467 | − | 0.00462150i | ||||
\(155\) | 1.53359 | − | 8.68031i | 0.123181 | − | 0.697220i | ||||
\(156\) | 15.6136 | − | 15.6113i | 1.25009 | − | 1.24991i | ||||
\(157\) | −5.21550 | + | 16.0517i | −0.416242 | + | 1.28106i | 0.494892 | + | 0.868954i | \(0.335207\pi\) |
−0.911135 | + | 0.412108i | \(0.864793\pi\) | |||||||
\(158\) | −0.137033 | − | 0.123385i | −0.0109018 | − | 0.00981600i | ||||
\(159\) | −0.753990 | + | 7.17373i | −0.0597953 | + | 0.568914i | ||||
\(160\) | −0.164963 | + | 0.285725i | −0.0130415 | + | 0.0225885i | ||||
\(161\) | 11.6639i | 0.919247i | ||||||||
\(162\) | 0.0886156 | + | 0.199034i | 0.00696230 | + | 0.0156376i | ||||
\(163\) | 1.32738 | − | 0.139513i | 0.103968 | − | 0.0109275i | −0.0524014 | − | 0.998626i | \(-0.516688\pi\) |
0.156370 | + | 0.987699i | \(0.450021\pi\) | |||||||
\(164\) | −6.20402 | − | 8.53909i | −0.484452 | − | 0.666791i | ||||
\(165\) | −12.7311 | − | 14.1393i | −0.991114 | − | 1.10074i | ||||
\(166\) | 0.0223841 | − | 0.212971i | 0.00173734 | − | 0.0165297i | ||||
\(167\) | 4.12613 | + | 19.4119i | 0.319289 | + | 1.50214i | 0.786277 | + | 0.617875i | \(0.212006\pi\) |
−0.466987 | + | 0.884264i | \(0.654661\pi\) | |||||||
\(168\) | −0.110626 | − | 0.340473i | −0.00853501 | − | 0.0262681i | ||||
\(169\) | 7.63966 | + | 10.5183i | 0.587666 | + | 0.809104i | ||||
\(170\) | 0.0236312 | + | 0.0727294i | 0.00181243 | + | 0.00557809i | ||||
\(171\) | 3.72155 | + | 3.35090i | 0.284594 | + | 0.256249i | ||||
\(172\) | −3.32992 | − | 1.48258i | −0.253904 | − | 0.113045i | ||||
\(173\) | 7.62045 | + | 1.61978i | 0.579372 | + | 0.123149i | 0.488270 | − | 0.872692i | \(-0.337628\pi\) |
0.0911013 | + | 0.995842i | \(0.470961\pi\) | |||||||
\(174\) | 0.403645 | + | 0.131152i | 0.0306002 | + | 0.00994262i | ||||
\(175\) | −1.70662 | − | 3.83313i | −0.129008 | − | 0.289757i | ||||
\(176\) | −11.6604 | + | 10.4990i | −0.878932 | + | 0.791394i | ||||
\(177\) | −16.3026 | − | 22.4386i | −1.22538 | − | 1.68659i | ||||
\(178\) | 0.00755991 | + | 0.0719277i | 0.000566639 | + | 0.00539121i | ||||
\(179\) | 1.24980 | − | 11.8911i | 0.0934148 | − | 0.888782i | −0.843006 | − | 0.537904i | \(-0.819216\pi\) |
0.936421 | − | 0.350879i | \(-0.114117\pi\) | |||||||
\(180\) | −17.4862 | + | 10.0957i | −1.30334 | + | 0.752487i | ||||
\(181\) | −15.0202 | −1.11645 | −0.558223 | − | 0.829691i | \(-0.688517\pi\) | ||||
−0.558223 | + | 0.829691i | \(0.688517\pi\) | |||||||
\(182\) | 0.104087 | − | 0.0164779i | 0.00771542 | − | 0.00122142i | ||||
\(183\) | −7.75503 | − | 23.8675i | −0.573268 | − | 1.76434i | ||||
\(184\) | 0.100125 | + | 0.471050i | 0.00738130 | + | 0.0347263i | ||||
\(185\) | 2.37056 | + | 4.10593i | 0.174287 | + | 0.301874i | ||||
\(186\) | 0.226807 | + | 0.190444i | 0.0166303 | + | 0.0139641i | ||||
\(187\) | 10.9133i | 0.798057i | ||||||||
\(188\) | −12.0367 | + | 10.8379i | −0.877870 | + | 0.790437i | ||||
\(189\) | 3.61883 | − | 17.0253i | 0.263231 | − | 1.23841i | ||||
\(190\) | 0.0126917 | − | 0.0174687i | 0.000920755 | − | 0.00126731i | ||||
\(191\) | 9.30098 | − | 16.1098i | 0.672995 | − | 1.16566i | −0.304056 | − | 0.952654i | \(-0.598341\pi\) |
0.977051 | − | 0.213007i | \(-0.0683258\pi\) | |||||||
\(192\) | 12.2382 | + | 21.1972i | 0.883216 | + | 1.52977i | ||||
\(193\) | 15.5330 | + | 1.63258i | 1.11809 | + | 0.117516i | 0.645496 | − | 0.763764i | \(-0.276651\pi\) |
0.472594 | + | 0.881280i | \(0.343318\pi\) | |||||||
\(194\) | −0.0768704 | + | 0.0558496i | −0.00551898 | + | 0.00400977i | ||||
\(195\) | −6.26321 | − | 16.3198i | −0.448518 | − | 1.16869i | ||||
\(196\) | 2.57592 | − | 7.92787i | 0.183994 | − | 0.566276i | ||||
\(197\) | 1.55180 | + | 0.163101i | 0.110561 | + | 0.0116205i | 0.159648 | − | 0.987174i | \(-0.448964\pi\) |
−0.0490862 | + | 0.998795i | \(0.515631\pi\) | |||||||
\(198\) | 0.425251 | − | 0.0903899i | 0.0302213 | − | 0.00642373i | ||||
\(199\) | −17.6006 | − | 3.74112i | −1.24767 | − | 0.265201i | −0.463697 | − | 0.885994i | \(-0.653477\pi\) |
−0.783975 | + | 0.620793i | \(0.786811\pi\) | |||||||
\(200\) | −0.101826 | − | 0.140152i | −0.00720020 | − | 0.00991023i | ||||
\(201\) | −3.86658 | + | 18.1908i | −0.272727 | + | 1.28308i | ||||
\(202\) | −0.0167125 | + | 0.0786263i | −0.00117589 | + | 0.00553213i | ||||
\(203\) | −7.89170 | − | 10.8620i | −0.553889 | − | 0.762362i | ||||
\(204\) | 16.6571 | + | 3.54058i | 1.16623 | + | 0.247890i | ||||
\(205\) | −8.17378 | + | 1.73739i | −0.570882 | + | 0.121345i | ||||
\(206\) | −0.178624 | − | 0.0187742i | −0.0124453 | − | 0.00130806i | ||||
\(207\) | −13.6614 | + | 42.0454i | −0.949532 | + | 2.92236i | ||||
\(208\) | −13.4586 | + | 5.16513i | −0.933184 | + | 0.358137i | ||||
\(209\) | 2.49294 | − | 1.81122i | 0.172440 | − | 0.125285i | ||||
\(210\) | −0.140926 | − | 0.0148120i | −0.00972485 | − | 0.00102212i | ||||
\(211\) | −0.475406 | − | 0.823428i | −0.0327283 | − | 0.0566871i | 0.849197 | − | 0.528076i | \(-0.177086\pi\) |
−0.881926 | + | 0.471389i | \(0.843753\pi\) | |||||||
\(212\) | 2.35513 | − | 4.07920i | 0.161751 | − | 0.280161i | ||||
\(213\) | 22.8886 | − | 31.5035i | 1.56830 | − | 2.15858i | ||||
\(214\) | −0.0394156 | + | 0.185436i | −0.00269440 | + | 0.0126761i | ||||
\(215\) | −2.14458 | + | 1.93099i | −0.146259 | + | 0.131692i | ||||
\(216\) | − | 0.718634i | − | 0.0488968i | ||||||
\(217\) | −2.26346 | − | 9.09129i | −0.153653 | − | 0.617157i | ||||
\(218\) | −0.0556296 | − | 0.0963532i | −0.00376771 | − | 0.00652586i | ||||
\(219\) | −6.05733 | − | 28.4975i | −0.409317 | − | 1.92568i | ||||
\(220\) | 3.83929 | + | 11.8161i | 0.258845 | + | 0.796642i | ||||
\(221\) | −3.59389 | + | 9.36033i | −0.241751 | + | 0.629644i | ||||
\(222\) | −0.159293 | −0.0106910 | ||||||||
\(223\) | 19.9874 | − | 11.5397i | 1.33846 | − | 0.772758i | 0.351878 | − | 0.936046i | \(-0.385543\pi\) |
0.986579 | + | 0.163288i | \(0.0522098\pi\) | |||||||
\(224\) | −0.0366545 | + | 0.348744i | −0.00244908 | + | 0.0233014i | ||||
\(225\) | −1.66236 | − | 15.8163i | −0.110824 | − | 1.05442i | ||||
\(226\) | −0.0175440 | − | 0.0241473i | −0.00116701 | − | 0.00160625i | ||||
\(227\) | −5.31880 | + | 4.78907i | −0.353021 | + | 0.317862i | −0.826493 | − | 0.562947i | \(-0.809667\pi\) |
0.473471 | + | 0.880809i | \(0.343001\pi\) | |||||||
\(228\) | −1.95572 | − | 4.39262i | −0.129521 | − | 0.290909i | ||||
\(229\) | 26.7436 | + | 8.68951i | 1.76726 | + | 0.574219i | 0.997911 | − | 0.0646038i | \(-0.0205784\pi\) |
0.769354 | + | 0.638823i | \(0.220578\pi\) | |||||||
\(230\) | 0.186453 | + | 0.0396318i | 0.0122943 | + | 0.00261324i | ||||
\(231\) | −18.4739 | − | 8.22513i | −1.21550 | − | 0.541174i | ||||
\(232\) | −0.411949 | − | 0.370920i | −0.0270458 | − | 0.0243521i | ||||
\(233\) | 5.94470 | + | 18.2959i | 0.389450 | + | 1.19860i | 0.933200 | + | 0.359357i | \(0.117004\pi\) |
−0.543750 | + | 0.839247i | \(0.682996\pi\) | |||||||
\(234\) | 0.394505 | + | 0.0625133i | 0.0257896 | + | 0.00408662i | ||||
\(235\) | 3.96262 | + | 12.1957i | 0.258493 | + | 0.795559i | ||||
\(236\) | 3.76557 | + | 17.7156i | 0.245118 | + | 1.15319i | ||||
\(237\) | −3.39815 | + | 32.3313i | −0.220734 | + | 2.10014i | ||||
\(238\) | 0.0543863 | + | 0.0604021i | 0.00352534 | + | 0.00391529i | ||||
\(239\) | −6.32759 | − | 8.70918i | −0.409298 | − | 0.563350i | 0.553749 | − | 0.832683i | \(-0.313197\pi\) |
−0.963047 | + | 0.269334i | \(0.913197\pi\) | |||||||
\(240\) | 19.2778 | − | 2.02618i | 1.24438 | − | 0.130789i | ||||
\(241\) | −11.0004 | − | 24.7074i | −0.708600 | − | 1.59154i | −0.802980 | − | 0.596006i | \(-0.796753\pi\) |
0.0943799 | − | 0.995536i | \(-0.469913\pi\) | |||||||
\(242\) | − | 0.0764449i | − | 0.00491406i | ||||||
\(243\) | 3.68947 | − | 6.39036i | 0.236680 | − | 0.409942i | ||||
\(244\) | −1.71297 | + | 16.2978i | −0.109662 | + | 1.04336i | ||||
\(245\) | −4.90442 | − | 4.41596i | −0.313332 | − | 0.282126i | ||||
\(246\) | 0.0867596 | − | 0.267018i | 0.00553159 | − | 0.0170245i | ||||
\(247\) | 2.73466 | − | 0.732533i | 0.174002 | − | 0.0466099i | ||||
\(248\) | −0.169451 | − | 0.347724i | −0.0107602 | − | 0.0220805i | ||||
\(249\) | −32.6958 | + | 18.8769i | −2.07201 | + | 1.19628i | ||||
\(250\) | −0.201565 | + | 0.0428440i | −0.0127481 | + | 0.00270970i | ||||
\(251\) | 4.74125 | + | 1.00778i | 0.299265 | + | 0.0636107i | 0.355097 | − | 0.934829i | \(-0.384448\pi\) |
−0.0558322 | + | 0.998440i | \(0.517781\pi\) | |||||||
\(252\) | −12.6142 | + | 17.3619i | −0.794618 | + | 1.09370i | ||||
\(253\) | 23.5584 | + | 13.6015i | 1.48111 | + | 0.855117i | ||||
\(254\) | −0.265853 | − | 0.153490i | −0.0166811 | − | 0.00963084i | ||||
\(255\) | 7.92462 | − | 10.9073i | 0.496259 | − | 0.683042i | ||||
\(256\) | −1.66993 | − | 15.8884i | −0.104371 | − | 0.993022i | ||||
\(257\) | 21.3498 | + | 9.50555i | 1.33177 | + | 0.592940i | 0.944343 | − | 0.328962i | \(-0.106699\pi\) |
0.387422 | + | 0.921902i | \(0.373366\pi\) | |||||||
\(258\) | −0.0201587 | − | 0.0948394i | −0.00125503 | − | 0.00590445i | ||||
\(259\) | 4.07674 | + | 2.96193i | 0.253316 | + | 0.184045i | ||||
\(260\) | −0.598240 | + | 11.3990i | −0.0371013 | + | 0.706938i | ||||
\(261\) | −15.7254 | − | 48.3978i | −0.973378 | − | 2.99575i | ||||
\(262\) | 0.0704270 | − | 0.158182i | 0.00435099 | − | 0.00977249i | ||||
\(263\) | 8.57328 | − | 9.52159i | 0.528651 | − | 0.587127i | −0.418379 | − | 0.908273i | \(-0.637401\pi\) |
0.947030 | + | 0.321146i | \(0.104068\pi\) | |||||||
\(264\) | −0.816680 | − | 0.173591i | −0.0502632 | − | 0.0106838i | ||||
\(265\) | −2.19194 | − | 3.01694i | −0.134650 | − | 0.185329i | ||||
\(266\) | 0.00477151 | − | 0.0224482i | 0.000292560 | − | 0.00137639i | ||||
\(267\) | 9.47571 | − | 8.53197i | 0.579904 | − | 0.522148i | ||||
\(268\) | 7.13806 | − | 9.82470i | 0.436027 | − | 0.600139i | ||||
\(269\) | −9.82837 | − | 10.9155i | −0.599246 | − | 0.665530i | 0.364855 | − | 0.931064i | \(-0.381118\pi\) |
−0.964102 | + | 0.265534i | \(0.914452\pi\) | |||||||
\(270\) | −0.259860 | − | 0.115697i | −0.0158146 | − | 0.00704110i | ||||
\(271\) | 6.26824 | − | 14.0787i | 0.380768 | − | 0.855220i | −0.616904 | − | 0.787038i | \(-0.711614\pi\) |
0.997673 | − | 0.0681818i | \(-0.0217198\pi\) | |||||||
\(272\) | −8.99500 | − | 6.53525i | −0.545402 | − | 0.396258i | ||||
\(273\) | −13.1365 | − | 13.1384i | −0.795057 | − | 0.795174i | ||||
\(274\) | −0.119444 | −0.00721590 | ||||||||
\(275\) | −9.73214 | − | 1.02289i | −0.586870 | − | 0.0616825i | ||||
\(276\) | 28.4032 | − | 31.5449i | 1.70967 | − | 1.89878i | ||||
\(277\) | 7.59267 | + | 8.43251i | 0.456199 | + | 0.506660i | 0.926733 | − | 0.375722i | \(-0.122605\pi\) |
−0.470533 | + | 0.882382i | \(0.655938\pi\) | |||||||
\(278\) | − | 0.266362i | − | 0.0159753i | ||||||
\(279\) | 2.48901 | − | 35.4228i | 0.149013 | − | 2.12071i | ||||
\(280\) | 0.160282 | + | 0.0925390i | 0.00957870 | + | 0.00553026i | ||||
\(281\) | −9.49852 | − | 3.08626i | −0.566634 | − | 0.184111i | 0.0116699 | − | 0.999932i | \(-0.496285\pi\) |
−0.578304 | + | 0.815821i | \(0.696285\pi\) | |||||||
\(282\) | −0.421425 | − | 0.0895767i | −0.0250955 | − | 0.00533422i | ||||
\(283\) | −2.44944 | + | 23.3049i | −0.145604 | + | 1.38533i | 0.640842 | + | 0.767673i | \(0.278585\pi\) |
−0.786446 | + | 0.617659i | \(0.788081\pi\) | |||||||
\(284\) | −22.0214 | + | 12.7141i | −1.30673 | + | 0.754442i | ||||
\(285\) | −3.80678 | −0.225494 | ||||||||
\(286\) | 0.0880955 | − | 0.229446i | 0.00520919 | − | 0.0135674i | ||||
\(287\) | −7.18541 | + | 5.22050i | −0.424141 | + | 0.308157i | ||||
\(288\) | −0.540597 | + | 1.21420i | −0.0318550 | + | 0.0715474i | ||||
\(289\) | 9.06428 | − | 1.92667i | 0.533193 | − | 0.113334i | ||||
\(290\) | −0.200448 | + | 0.0892452i | −0.0117707 | + | 0.00524066i | ||||
\(291\) | 15.9318 | + | 5.17655i | 0.933937 | + | 0.303455i | ||||
\(292\) | −3.95544 | + | 18.6089i | −0.231475 | + | 1.08900i | ||||
\(293\) | 30.0628 | − | 3.15973i | 1.75629 | − | 0.184593i | 0.829077 | − | 0.559134i | \(-0.188866\pi\) |
0.927210 | + | 0.374541i | \(0.122200\pi\) | |||||||
\(294\) | 0.210881 | − | 0.0685193i | 0.0122988 | − | 0.00399613i | ||||
\(295\) | 14.0256 | + | 2.98123i | 0.816600 | + | 0.173574i | ||||
\(296\) | 0.190066 | + | 0.0846226i | 0.0110473 | + | 0.00491859i | ||||
\(297\) | −30.1671 | − | 27.1626i | −1.75047 | − | 1.57613i | ||||
\(298\) | −0.0840737 | + | 0.258752i | −0.00487026 | + | 0.0149891i | ||||
\(299\) | 15.7270 | + | 19.4241i | 0.909514 | + | 1.12333i | ||||
\(300\) | −4.71864 | + | 14.5225i | −0.272431 | + | 0.838455i | ||||
\(301\) | −1.24755 | + | 2.80203i | −0.0719074 | + | 0.161507i | ||||
\(302\) | 0.231746 | + | 0.103180i | 0.0133355 | + | 0.00593734i | ||||
\(303\) | 12.9464 | − | 5.76412i | 0.743753 | − | 0.331140i | ||||
\(304\) | 3.13937i | 0.180055i | ||||||||
\(305\) | 11.2360 | + | 6.48708i | 0.643369 | + | 0.371449i | ||||
\(306\) | 0.125302 | + | 0.281434i | 0.00716306 | + | 0.0160885i | ||||
\(307\) | −2.22458 | + | 0.722809i | −0.126963 | + | 0.0412529i | −0.371810 | − | 0.928309i | \(-0.621263\pi\) |
0.244846 | + | 0.969562i | \(0.421263\pi\) | |||||||
\(308\) | 8.83597 | + | 9.81334i | 0.503476 | + | 0.559167i | ||||
\(309\) | 15.8326 | + | 27.4229i | 0.900685 | + | 1.56003i | ||||
\(310\) | −0.153019 | + | 0.00529188i | −0.00869089 | + | 0.000300558i | ||||
\(311\) | 19.9998 | 1.13408 | 0.567042 | − | 0.823689i | \(-0.308088\pi\) | ||||
0.567042 | + | 0.823689i | \(0.308088\pi\) | |||||||
\(312\) | −0.643302 | − | 0.417832i | −0.0364198 | − | 0.0236551i | ||||
\(313\) | −8.21322 | − | 25.2777i | −0.464239 | − | 1.42878i | −0.859938 | − | 0.510399i | \(-0.829498\pi\) |
0.395699 | − | 0.918380i | \(-0.370502\pi\) | |||||||
\(314\) | 0.291557 | + | 0.0306438i | 0.0164535 | + | 0.00172933i | ||||
\(315\) | 8.49522 | + | 14.7141i | 0.478651 | + | 0.829048i | ||||
\(316\) | 10.6143 | − | 18.3845i | 0.597102 | − | 1.03421i | ||||
\(317\) | 11.1155 | − | 15.2991i | 0.624307 | − | 0.859284i | −0.373351 | − | 0.927690i | \(-0.621791\pi\) |
0.997658 | + | 0.0684058i | \(0.0217913\pi\) | |||||||
\(318\) | 0.124606 | − | 0.0130966i | 0.00698757 | − | 0.000734423i | ||||
\(319\) | −31.1413 | + | 3.27308i | −1.74358 | + | 0.183258i | ||||
\(320\) | −12.0346 | − | 3.91028i | −0.672755 | − | 0.218591i | ||||
\(321\) | 30.5335 | − | 13.5944i | 1.70421 | − | 0.758764i | ||||
\(322\) | 0.198173 | − | 0.0421229i | 0.0110437 | − | 0.00234742i | ||||
\(323\) | 1.62268 | + | 1.46107i | 0.0902882 | + | 0.0812958i | ||||
\(324\) | −20.2920 | + | 14.7430i | −1.12733 | + | 0.819054i | ||||
\(325\) | −8.01042 | − | 4.08226i | −0.444338 | − | 0.226443i | ||||
\(326\) | −0.00716403 | − | 0.0220486i | −0.000396779 | − | 0.00122116i | ||||
\(327\) | −7.97820 | + | 17.9193i | −0.441196 | + | 0.990942i | ||||
\(328\) | −0.245371 | + | 0.272512i | −0.0135483 | + | 0.0150469i | ||||
\(329\) | 9.11981 | + | 10.1286i | 0.502792 | + | 0.558407i | ||||
\(330\) | −0.194253 | + | 0.267366i | −0.0106933 | + | 0.0147180i | ||||
\(331\) | −1.21252 | + | 1.09176i | −0.0666461 | + | 0.0600084i | −0.701781 | − | 0.712393i | \(-0.747611\pi\) |
0.635135 | + | 0.772402i | \(0.280945\pi\) | |||||||
\(332\) | 24.5182 | − | 2.57697i | 1.34561 | − | 0.141430i | ||||
\(333\) | 11.2264 | + | 15.4519i | 0.615205 | + | 0.846756i | ||||
\(334\) | 0.314912 | − | 0.140208i | 0.0172312 | − | 0.00767182i | ||||
\(335\) | −4.80724 | − | 8.32639i | −0.262648 | − | 0.454919i | ||||
\(336\) | 17.8422 | − | 10.3012i | 0.973373 | − | 0.561977i | ||||
\(337\) | 5.77801 | + | 4.19797i | 0.314748 | + | 0.228678i | 0.733931 | − | 0.679224i | \(-0.237683\pi\) |
−0.419183 | + | 0.907902i | \(0.637683\pi\) | |||||||
\(338\) | 0.151119 | − | 0.167785i | 0.00821980 | − | 0.00912631i | ||||
\(339\) | −1.62611 | + | 5.00465i | −0.0883181 | + | 0.271815i | ||||
\(340\) | −7.62437 | + | 4.40193i | −0.413490 | + | 0.238728i | ||||
\(341\) | −21.0017 | − | 6.02982i | −1.13731 | − | 0.326533i | ||||
\(342\) | 0.0434925 | − | 0.0753313i | 0.00235181 | − | 0.00407345i | ||||
\(343\) | −17.8734 | − | 5.80742i | −0.965073 | − | 0.313571i | ||||
\(344\) | −0.0263293 | + | 0.123870i | −0.00141958 | + | 0.00667861i | ||||
\(345\) | −13.6689 | − | 30.7009i | −0.735909 | − | 1.65288i | ||||
\(346\) | − | 0.135323i | − | 0.00727499i | ||||||
\(347\) | −7.86685 | + | 13.6258i | −0.422315 | + | 0.731471i | −0.996165 | − | 0.0874894i | \(-0.972116\pi\) |
0.573851 | + | 0.818960i | \(0.305449\pi\) | |||||||
\(348\) | −5.10737 | + | 48.5934i | −0.273784 | + | 2.60488i | ||||
\(349\) | 4.98666 | − | 11.2002i | 0.266930 | − | 0.599535i | −0.729498 | − | 0.683983i | \(-0.760246\pi\) |
0.996428 | + | 0.0844485i | \(0.0269128\pi\) | |||||||
\(350\) | −0.0589624 | + | 0.0428387i | −0.00315167 | + | 0.00228983i | ||||
\(351\) | −16.9294 | − | 33.2319i | −0.903624 | − | 1.77379i | ||||
\(352\) | 0.661639 | + | 0.480709i | 0.0352655 | + | 0.0256219i | ||||
\(353\) | −1.54537 | − | 7.27037i | −0.0822515 | − | 0.386963i | 0.917695 | − | 0.397285i | \(-0.130048\pi\) |
−0.999947 | + | 0.0103222i | \(0.996714\pi\) | |||||||
\(354\) | −0.322362 | + | 0.358019i | −0.0171333 | + | 0.0190285i | ||||
\(355\) | 2.10433 | + | 20.0214i | 0.111686 | + | 1.06262i | ||||
\(356\) | −7.91878 | + | 2.57297i | −0.419695 | + | 0.136367i | ||||
\(357\) | 2.97930 | − | 14.0165i | 0.157681 | − | 0.741831i | ||||
\(358\) | −0.206546 | + | 0.0217088i | −0.0109163 | + | 0.00114735i | ||||
\(359\) | 13.8106 | − | 4.48734i | 0.728897 | − | 0.236833i | 0.0790205 | − | 0.996873i | \(-0.474821\pi\) |
0.649876 | + | 0.760040i | \(0.274821\pi\) | |||||||
\(360\) | 0.469389 | + | 0.521310i | 0.0247390 | + | 0.0274754i | ||||
\(361\) | −1.92160 | + | 18.2828i | −0.101137 | + | 0.962250i | ||||
\(362\) | 0.0542439 | + | 0.255197i | 0.00285099 | + | 0.0134129i | ||||
\(363\) | −10.9034 | + | 7.92179i | −0.572281 | + | 0.415786i | ||||
\(364\) | 4.34696 | + | 11.3267i | 0.227843 | + | 0.593681i | ||||
\(365\) | 12.1854 | + | 8.85319i | 0.637811 | + | 0.463397i | ||||
\(366\) | −0.377508 | + | 0.217954i | −0.0197327 | + | 0.0113927i | ||||
\(367\) | −6.03272 | − | 10.4490i | −0.314905 | − | 0.545432i | 0.664512 | − | 0.747278i | \(-0.268639\pi\) |
−0.979417 | + | 0.201846i | \(0.935306\pi\) | |||||||
\(368\) | −25.3183 | + | 11.2724i | −1.31981 | + | 0.587616i | ||||
\(369\) | −32.0160 | + | 10.4026i | −1.66669 | + | 0.541540i | ||||
\(370\) | 0.0611996 | − | 0.0551044i | 0.00318162 | − | 0.00286474i | ||||
\(371\) | −3.43253 | − | 1.98177i | −0.178208 | − | 0.102889i | ||||
\(372\) | −16.0170 | + | 30.0991i | −0.830442 | + | 1.56056i | ||||
\(373\) | −14.2262 | + | 24.6404i | −0.736602 | + | 1.27583i | 0.217415 | + | 0.976079i | \(0.430238\pi\) |
−0.954017 | + | 0.299753i | \(0.903096\pi\) | |||||||
\(374\) | 0.185419 | − | 0.0394120i | 0.00958778 | − | 0.00203795i | ||||
\(375\) | 26.9986 | + | 24.3096i | 1.39420 | + | 1.25534i | ||||
\(376\) | 0.455251 | + | 0.330759i | 0.0234778 | + | 0.0170576i | ||||
\(377\) | −27.7878 | − | 7.44792i | −1.43115 | − | 0.383587i | ||||
\(378\) | −0.302332 | −0.0155503 | ||||||||
\(379\) | 19.7468 | + | 2.07547i | 1.01433 | + | 0.106610i | 0.597078 | − | 0.802183i | \(-0.296328\pi\) |
0.417247 | + | 0.908793i | \(0.362995\pi\) | |||||||
\(380\) | 2.27092 | + | 1.01108i | 0.116496 | + | 0.0518673i | ||||
\(381\) | 5.65720 | + | 53.8247i | 0.289827 | + | 2.75752i | ||||
\(382\) | −0.307298 | − | 0.0998471i | −0.0157227 | − | 0.00510862i | ||||
\(383\) | −14.5273 | − | 32.6289i | −0.742312 | − | 1.66726i | −0.744823 | − | 0.667263i | \(-0.767466\pi\) |
0.00251092 | − | 0.999997i | \(-0.499201\pi\) | |||||||
\(384\) | 1.26446 | − | 1.13852i | 0.0645267 | − | 0.0581001i | ||||
\(385\) | 9.94293 | − | 3.23065i | 0.506738 | − | 0.164649i | ||||
\(386\) | −0.0283576 | − | 0.269805i | −0.00144337 | − | 0.0137327i | ||||
\(387\) | −7.77896 | + | 8.63941i | −0.395427 | + | 0.439166i | ||||
\(388\) | −8.12915 | − | 7.31952i | −0.412695 | − | 0.371592i | ||||
\(389\) | 3.23035 | − | 2.34699i | 0.163785 | − | 0.118997i | −0.502873 | − | 0.864360i | \(-0.667724\pi\) |
0.666659 | + | 0.745363i | \(0.267724\pi\) | |||||||
\(390\) | −0.254658 | + | 0.165350i | −0.0128951 | + | 0.00837285i | ||||
\(391\) | −5.95667 | + | 18.3327i | −0.301242 | + | 0.927127i | ||||
\(392\) | −0.288019 | − | 0.0302721i | −0.0145472 | − | 0.00152897i | ||||
\(393\) | −29.8598 | + | 6.34689i | −1.50623 | + | 0.320158i | ||||
\(394\) | −0.00283303 | − | 0.0269545i | −0.000142726 | − | 0.00135795i | ||||
\(395\) | −9.87883 | − | 13.5970i | −0.497058 | − | 0.684141i | ||||
\(396\) | 20.3575 | + | 45.7237i | 1.02300 | + | 2.29770i | ||||
\(397\) | −18.3917 | − | 10.6185i | −0.923054 | − | 0.532926i | −0.0384460 | − | 0.999261i | \(-0.512241\pi\) |
−0.884608 | + | 0.466335i | \(0.845574\pi\) | |||||||
\(398\) | 0.312548i | 0.0156666i | ||||||||
\(399\) | −3.69627 | + | 1.64568i | −0.185045 | + | 0.0823873i | ||||
\(400\) | 6.67104 | − | 7.40894i | 0.333552 | − | 0.370447i | ||||
\(401\) | 0.0389453 | + | 0.183223i | 0.00194483 | + | 0.00914973i | 0.979109 | − | 0.203335i | \(-0.0651779\pi\) |
−0.977164 | + | 0.212484i | \(0.931845\pi\) | |||||||
\(402\) | 0.323030 | 0.0161113 | ||||||||
\(403\) | −16.0275 | − | 12.0879i | −0.798388 | − | 0.602143i | ||||
\(404\) | −9.25409 | −0.460408 | ||||||||
\(405\) | 4.12867 | + | 19.4239i | 0.205155 | + | 0.965179i | ||||
\(406\) | −0.156048 | + | 0.173309i | −0.00774452 | + | 0.00860116i | ||||
\(407\) | 10.7363 | − | 4.78013i | 0.532181 | − | 0.236942i | ||||
\(408\) | − | 0.591633i | − | 0.0292902i | ||||||
\(409\) | 12.8141 | + | 7.39825i | 0.633618 | + | 0.365820i | 0.782152 | − | 0.623088i | \(-0.214122\pi\) |
−0.148534 | + | 0.988907i | \(0.547455\pi\) | |||||||
\(410\) | 0.0590373 | + | 0.132600i | 0.00291565 | + | 0.00654865i | ||||
\(411\) | 12.3777 | + | 17.0365i | 0.610548 | + | 0.840347i | ||||
\(412\) | −2.16138 | − | 20.5641i | −0.106483 | − | 1.01312i | ||||
\(413\) | 14.9072 | − | 3.16862i | 0.733534 | − | 0.155918i | ||||
\(414\) | 0.763697 | + | 0.0802678i | 0.0375337 | + | 0.00394495i | ||||
\(415\) | 6.03145 | − | 18.5629i | 0.296072 | − | 0.911217i | ||||
\(416\) | 0.409185 | + | 0.630191i | 0.0200619 | + | 0.0308977i | ||||
\(417\) | −37.9915 | + | 27.6024i | −1.86045 | + | 1.35170i | ||||
\(418\) | −0.0397760 | − | 0.0358145i | −0.00194551 | − | 0.00175174i | ||||
\(419\) | −20.3444 | + | 22.5947i | −0.993889 | + | 1.10383i | 0.000706692 | 1.00000i | \(0.499775\pi\) | |
−0.994596 | + | 0.103826i | \(0.966892\pi\) | |||||||
\(420\) | −1.70523 | − | 16.2242i | −0.0832067 | − | 0.791659i | ||||
\(421\) | 15.3312 | − | 4.98140i | 0.747195 | − | 0.242778i | 0.0894214 | − | 0.995994i | \(-0.471498\pi\) |
0.657774 | + | 0.753215i | \(0.271498\pi\) | |||||||
\(422\) | −0.0122733 | + | 0.0110510i | −0.000597457 | + | 0.000537953i | ||||
\(423\) | 21.0114 | + | 47.1925i | 1.02161 | + | 2.29458i | ||||
\(424\) | −0.155635 | − | 0.0505690i | −0.00755832 | − | 0.00245585i | ||||
\(425\) | −0.724826 | − | 6.89626i | −0.0351592 | − | 0.334518i | ||||
\(426\) | −0.617911 | − | 0.275112i | −0.0299379 | − | 0.0133292i | ||||
\(427\) | 13.7141 | + | 1.44141i | 0.663674 | + | 0.0697549i | ||||
\(428\) | −21.8253 | −1.05496 | ||||||||
\(429\) | −41.8552 | + | 11.2118i | −2.02079 | + | 0.541309i | ||||
\(430\) | 0.0405528 | + | 0.0294633i | 0.00195563 | + | 0.00142085i | ||||
\(431\) | 2.14991 | + | 1.93579i | 0.103557 | + | 0.0932436i | 0.719283 | − | 0.694717i | \(-0.244470\pi\) |
−0.615726 | + | 0.787961i | \(0.711137\pi\) | |||||||
\(432\) | 40.4533 | − | 8.59861i | 1.94631 | − | 0.413701i | ||||
\(433\) | −6.52663 | + | 11.3045i | −0.313650 | + | 0.543257i | −0.979150 | − | 0.203141i | \(-0.934885\pi\) |
0.665500 | + | 0.746398i | \(0.268218\pi\) | |||||||
\(434\) | −0.146289 | + | 0.0712888i | −0.00702209 | + | 0.00342197i | ||||
\(435\) | 33.5010 | + | 19.3418i | 1.60625 | + | 0.927370i | ||||
\(436\) | 9.51873 | − | 8.57070i | 0.455864 | − | 0.410462i | ||||
\(437\) | 5.17638 | − | 1.68191i | 0.247620 | − | 0.0804565i | ||||
\(438\) | −0.462304 | + | 0.205831i | −0.0220897 | + | 0.00983498i | ||||
\(439\) | −2.26712 | − | 3.92676i | −0.108204 | − | 0.187414i | 0.806839 | − | 0.590772i | \(-0.201177\pi\) |
−0.915043 | + | 0.403357i | \(0.867843\pi\) | |||||||
\(440\) | 0.373815 | − | 0.215822i | 0.0178209 | − | 0.0102889i | ||||
\(441\) | −21.5087 | − | 15.6270i | −1.02423 | − | 0.744143i | ||||
\(442\) | 0.172013 | + | 0.0272572i | 0.00818182 | + | 0.00129649i | ||||
\(443\) | 12.4944 | − | 9.07769i | 0.593625 | − | 0.431294i | −0.249985 | − | 0.968250i | \(-0.580426\pi\) |
0.843611 | + | 0.536956i | \(0.180426\pi\) | |||||||
\(444\) | −3.81281 | − | 17.9379i | −0.180948 | − | 0.851294i | ||||
\(445\) | −0.689051 | + | 6.55588i | −0.0326641 | + | 0.310778i | ||||
\(446\) | −0.268245 | − | 0.297916i | −0.0127018 | − | 0.0141067i | ||||
\(447\) | 45.6184 | − | 14.8223i | 2.15768 | − | 0.701072i | ||||
\(448\) | −13.3757 | + | 1.40584i | −0.631940 | + | 0.0664196i | ||||
\(449\) | −6.64592 | + | 31.2666i | −0.313641 | + | 1.47556i | 0.485403 | + | 0.874290i | \(0.338673\pi\) |
−0.799044 | + | 0.601273i | \(0.794661\pi\) | |||||||
\(450\) | −0.262719 | + | 0.0853626i | −0.0123847 | + | 0.00402403i | ||||
\(451\) | 2.16521 | + | 20.6006i | 0.101956 | + | 0.970042i | ||||
\(452\) | 2.29928 | − | 2.55361i | 0.108149 | − | 0.120112i | ||||
\(453\) | −9.29859 | − | 43.7464i | −0.436886 | − | 2.05539i | ||||
\(454\) | 0.100576 | + | 0.0730724i | 0.00472025 | + | 0.00342946i | ||||
\(455\) | 9.59196 | + | 0.503402i | 0.449678 | + | 0.0235998i | ||||
\(456\) | −0.135148 | + | 0.0981906i | −0.00632887 | + | 0.00459819i | ||||
\(457\) | 6.84478 | − | 15.3736i | 0.320185 | − | 0.719148i | −0.679712 | − | 0.733479i | \(-0.737895\pi\) |
0.999897 | + | 0.0143309i | \(0.00456183\pi\) | |||||||
\(458\) | 0.0510555 | − | 0.485760i | 0.00238566 | − | 0.0226981i | ||||
\(459\) | 14.3825 | − | 24.9113i | 0.671320 | − | 1.16276i | ||||
\(460\) | 21.9449i | 1.02319i | ||||||||
\(461\) | 4.76499 | + | 10.7023i | 0.221928 | + | 0.498458i | 0.989855 | − | 0.142079i | \(-0.0453786\pi\) |
−0.767928 | + | 0.640537i | \(0.778712\pi\) | |||||||
\(462\) | −0.0730303 | + | 0.343580i | −0.00339768 | + | 0.0159848i | ||||
\(463\) | −27.3133 | − | 8.87463i | −1.26936 | − | 0.412439i | −0.404537 | − | 0.914522i | \(-0.632567\pi\) |
−0.864820 | + | 0.502083i | \(0.832567\pi\) | |||||||
\(464\) | 15.9508 | − | 27.6275i | 0.740495 | − | 1.28258i | ||||
\(465\) | 16.6117 | + | 21.2768i | 0.770351 | + | 0.986690i | ||||
\(466\) | 0.289383 | − | 0.167075i | 0.0134054 | − | 0.00773961i | ||||
\(467\) | 2.77070 | − | 8.52733i | 0.128213 | − | 0.394598i | −0.866260 | − | 0.499593i | \(-0.833483\pi\) |
0.994473 | + | 0.104995i | \(0.0334828\pi\) | |||||||
\(468\) | 2.40324 | + | 45.9213i | 0.111090 | + | 2.12271i | ||||
\(469\) | −8.26721 | − | 6.00648i | −0.381744 | − | 0.277353i | ||||
\(470\) | 0.192897 | − | 0.111369i | 0.00889767 | − | 0.00513707i | ||||
\(471\) | −25.8425 | − | 44.7605i | −1.19076 | − | 2.06246i | ||||
\(472\) | 0.574829 | − | 0.255931i | 0.0264587 | − | 0.0117802i | ||||
\(473\) | 4.20468 | + | 5.78724i | 0.193331 | + | 0.266098i | ||||
\(474\) | 0.561587 | − | 0.0590252i | 0.0257946 | − | 0.00271112i | ||||
\(475\) | −1.45503 | + | 1.31011i | −0.0667612 | + | 0.0601121i | ||||
\(476\) | −5.50006 | + | 7.57018i | −0.252095 | + | 0.346979i | ||||
\(477\) | −10.0522 | − | 11.1641i | −0.460260 | − | 0.511171i | ||||
\(478\) | −0.125119 | + | 0.138959i | −0.00572283 | + | 0.00635585i | ||||
\(479\) | −1.84395 | + | 4.14158i | −0.0842523 | + | 0.189234i | −0.950759 | − | 0.309932i | \(-0.899694\pi\) |
0.866506 | + | 0.499166i | \(0.166360\pi\) | |||||||
\(480\) | −0.312213 | − | 0.960892i | −0.0142505 | − | 0.0438585i | ||||
\(481\) | 10.7827 | − | 0.564303i | 0.491651 | − | 0.0257300i | ||||
\(482\) | −0.380057 | + | 0.276128i | −0.0173111 | + | 0.0125773i | ||||
\(483\) | −26.5442 | − | 23.9005i | −1.20780 | − | 1.08751i | ||||
\(484\) | 8.60841 | − | 1.82977i | 0.391291 | − | 0.0831715i | ||||
\(485\) | −7.91164 | + | 3.52249i | −0.359249 | + | 0.159948i | ||||
\(486\) | −0.121898 | − | 0.0396070i | −0.00552939 | − | 0.00179661i | ||||
\(487\) | 19.5949 | − | 2.05951i | 0.887932 | − | 0.0933254i | 0.350431 | − | 0.936589i | \(-0.386035\pi\) |
0.537501 | + | 0.843263i | \(0.319368\pi\) | |||||||
\(488\) | 0.566222 | − | 0.0595123i | 0.0256316 | − | 0.00269399i | ||||
\(489\) | −2.40243 | + | 3.30666i | −0.108641 | + | 0.149532i | ||||
\(490\) | −0.0573164 | + | 0.0992750i | −0.00258929 | + | 0.00448479i | ||||
\(491\) | −2.47836 | − | 4.29265i | −0.111847 | − | 0.193724i | 0.804668 | − | 0.593725i | \(-0.202343\pi\) |
−0.916515 | + | 0.400001i | \(0.869010\pi\) | |||||||
\(492\) | 32.1454 | + | 3.37862i | 1.44923 | + | 0.152320i | ||||
\(493\) | −6.85662 | − | 21.1025i | −0.308807 | − | 0.950410i | ||||
\(494\) | −0.0223218 | − | 0.0438169i | −0.00100430 | − | 0.00197142i | ||||
\(495\) | 39.6256 | 1.78104 | ||||||||
\(496\) | 17.5465 | − | 13.6993i | 0.787862 | − | 0.615117i | ||||
\(497\) | 10.6985 | + | 18.5304i | 0.479895 | + | 0.831203i | ||||
\(498\) | 0.438800 | + | 0.487337i | 0.0196631 | + | 0.0218381i | ||||
\(499\) | −16.8758 | + | 5.48328i | −0.755465 | + | 0.245465i | −0.661331 | − | 0.750094i | \(-0.730008\pi\) |
−0.0941338 | + | 0.995560i | \(0.530008\pi\) | |||||||
\(500\) | −9.64928 | − | 21.6726i | −0.431529 | − | 0.969229i | ||||
\(501\) | −52.6314 | − | 30.3868i | −2.35140 | − | 1.35758i | ||||
\(502\) | − | 0.0841943i | − | 0.00375778i | ||||||
\(503\) | −8.00246 | + | 3.56292i | −0.356812 | + | 0.158863i | −0.577311 | − | 0.816524i | \(-0.695898\pi\) |
0.220499 | + | 0.975387i | \(0.429231\pi\) | |||||||
\(504\) | 0.681126 | + | 0.303257i | 0.0303398 | + | 0.0135081i | ||||
\(505\) | −2.97997 | + | 6.69311i | −0.132607 | + | 0.297840i | ||||
\(506\) | 0.146013 | − | 0.449383i | 0.00649109 | − | 0.0199775i | ||||
\(507\) | −39.5915 | − | 4.16713i | −1.75832 | − | 0.185069i | ||||
\(508\) | 10.9210 | − | 33.6114i | 0.484542 | − | 1.49127i | ||||
\(509\) | −10.4297 | − | 9.39093i | −0.462288 | − | 0.416246i | 0.404797 | − | 0.914407i | \(-0.367342\pi\) |
−0.867085 | + | 0.498161i | \(0.834009\pi\) | |||||||
\(510\) | −0.213936 | − | 0.0952506i | −0.00947326 | − | 0.00421777i | ||||
\(511\) | 15.6589 | + | 3.32839i | 0.692707 | + | 0.147240i | ||||
\(512\) | −1.32077 | + | 0.429146i | −0.0583706 | + | 0.0189657i | ||||
\(513\) | −8.07753 | + | 0.848983i | −0.356632 | + | 0.0374835i | ||||
\(514\) | 0.0843990 | − | 0.397066i | 0.00372268 | − | 0.0175138i | ||||
\(515\) | −15.5692 | − | 5.05875i | −0.686062 | − | 0.222915i | ||||
\(516\) | 10.1973 | − | 4.54012i | 0.448911 | − | 0.199868i | ||||
\(517\) | 31.0921 | − | 6.60883i | 1.36743 | − | 0.290656i | ||||
\(518\) | 0.0356011 | − | 0.0799614i | 0.00156422 | − | 0.00351330i | ||||
\(519\) | −19.3012 | + | 14.0231i | −0.847229 | + | 0.615548i | ||||
\(520\) | 0.391695 | − | 0.0620087i | 0.0171769 | − | 0.00271926i | ||||
\(521\) | 12.5974 | 0.551901 | 0.275950 | − | 0.961172i | \(-0.411007\pi\) | ||||
0.275950 | + | 0.961172i | \(0.411007\pi\) | |||||||
\(522\) | −0.765499 | + | 0.441961i | −0.0335050 | + | 0.0193441i | ||||
\(523\) | 1.30039 | − | 12.3723i | 0.0568619 | − | 0.541005i | −0.928597 | − | 0.371090i | \(-0.878984\pi\) |
0.985459 | − | 0.169915i | \(-0.0543492\pi\) | |||||||
\(524\) | 19.4985 | + | 4.14452i | 0.851794 | + | 0.181054i | ||||
\(525\) | 12.2203 | + | 3.97060i | 0.533336 | + | 0.173291i | ||||
\(526\) | −0.192735 | − | 0.111276i | −0.00840366 | − | 0.00485185i | ||||
\(527\) | 1.08526 | − | 15.4451i | 0.0472748 | − | 0.672800i | ||||
\(528\) | − | 48.0495i | − | 2.09109i | ||||||
\(529\) | 16.7609 | + | 18.6148i | 0.728733 | + | 0.809341i | ||||
\(530\) | −0.0433426 | + | 0.0481368i | −0.00188268 | + | 0.00209093i | ||||
\(531\) | 57.4477 | + | 6.03800i | 2.49302 | + | 0.262027i | ||||
\(532\) | 2.64209 | 0.114549 | ||||||||
\(533\) | −4.92694 | + | 18.3822i | −0.213409 | + | 0.796220i | ||||
\(534\) | −0.179180 | − | 0.130182i | −0.00775389 | − | 0.00563353i | ||||
\(535\) | −7.02809 | + | 15.7854i | −0.303851 | + | 0.682460i | ||||
\(536\) | −0.385433 | − | 0.171606i | −0.0166482 | − | 0.00741225i | ||||
\(537\) | 24.5002 | + | 27.2102i | 1.05726 | + | 1.17421i | ||||
\(538\) | −0.149963 | + | 0.206406i | −0.00646536 | + | 0.00889880i | ||||
\(539\) | −12.1572 | + | 10.9464i | −0.523648 | + | 0.471495i | ||||
\(540\) | 6.80861 | − | 32.0320i | 0.292996 | − | 1.37844i | ||||
\(541\) | −21.9941 | − | 30.2722i | −0.945598 | − | 1.30150i | −0.953455 | − | 0.301535i | \(-0.902501\pi\) |
0.00785680 | − | 0.999969i | \(-0.497499\pi\) | |||||||
\(542\) | −0.261837 | − | 0.0556552i | −0.0112469 | − | 0.00239060i | ||||
\(543\) | 30.7779 | − | 34.1823i | 1.32081 | − | 1.46690i | ||||
\(544\) | −0.235712 | + | 0.529418i | −0.0101061 | + | 0.0226986i | ||||
\(545\) | −3.13366 | − | 9.64443i | −0.134231 | − | 0.413122i | ||||
\(546\) | −0.175784 | + | 0.270640i | −0.00752285 | + | 0.0115823i | ||||
\(547\) | −25.1979 | − | 18.3073i | −1.07738 | − | 0.782765i | −0.100159 | − | 0.994971i | \(-0.531935\pi\) |
−0.977225 | + | 0.212207i | \(0.931935\pi\) | |||||||
\(548\) | −2.85900 | − | 13.4505i | −0.122131 | − | 0.574579i | ||||
\(549\) | 47.7476 | + | 21.2586i | 2.03782 | + | 0.907296i | ||||
\(550\) | 0.0177674 | + | 0.169045i | 0.000757603 | + | 0.00720811i | ||||
\(551\) | −3.68252 | + | 5.06855i | −0.156881 | + | 0.215928i | ||||
\(552\) | −1.27716 | − | 0.737367i | −0.0543594 | − | 0.0313844i | ||||
\(553\) | −15.4701 | − | 8.93165i | −0.657854 | − | 0.379812i | ||||
\(554\) | 0.115850 | − | 0.159454i | 0.00492200 | − | 0.00677455i | ||||
\(555\) | −14.2015 | − | 3.01863i | −0.602822 | − | 0.128134i | ||||
\(556\) | 29.9948 | − | 6.37560i | 1.27206 | − | 0.270386i | ||||
\(557\) | 10.3066 | − | 5.95053i | 0.436705 | − | 0.252132i | −0.265494 | − | 0.964113i | \(-0.585535\pi\) |
0.702199 | + | 0.711981i | \(0.252202\pi\) | |||||||
\(558\) | −0.610830 | + | 0.0856365i | −0.0258585 | + | 0.00362528i | ||||
\(559\) | 1.70054 | + | 6.34839i | 0.0719253 | + | 0.268508i | ||||
\(560\) | −3.29139 | + | 10.1298i | −0.139086 | + | 0.428064i | ||||
\(561\) | −24.8359 | − | 22.3623i | −1.04857 | − | 0.944137i | ||||
\(562\) | −0.0181334 | + | 0.172528i | −0.000764910 | + | 0.00727764i | ||||
\(563\) | 12.7383 | − | 22.0634i | 0.536856 | − | 0.929861i | −0.462215 | − | 0.886768i | \(-0.652945\pi\) |
0.999071 | − | 0.0430936i | \(-0.0137214\pi\) | |||||||
\(564\) | − | 49.6005i | − | 2.08856i | ||||||
\(565\) | −1.10652 | − | 2.48528i | −0.0465516 | − | 0.104557i | ||||
\(566\) | 0.404801 | − | 0.0425463i | 0.0170151 | − | 0.00178835i | ||||
\(567\) | 12.4058 | + | 17.0751i | 0.520995 | + | 0.717088i | ||||
\(568\) | 0.591130 | + | 0.656517i | 0.0248033 | + | 0.0275468i | ||||
\(569\) | −3.04102 | + | 28.9334i | −0.127486 | + | 1.21295i | 0.724459 | + | 0.689318i | \(0.242090\pi\) |
−0.851945 | + | 0.523631i | \(0.824577\pi\) | |||||||
\(570\) | 0.0137478 | + | 0.0646781i | 0.000575830 | + | 0.00270907i | ||||
\(571\) | 3.82116 | + | 11.7603i | 0.159911 | + | 0.492155i | 0.998625 | − | 0.0524166i | \(-0.0166924\pi\) |
−0.838715 | + | 0.544571i | \(0.816692\pi\) | |||||||
\(572\) | 27.9464 | + | 4.42838i | 1.16850 | + | 0.185160i | ||||
\(573\) | 17.6032 | + | 54.1771i | 0.735384 | + | 2.26328i | ||||
\(574\) | 0.114647 | + | 0.103228i | 0.00478526 | + | 0.00430867i | ||||
\(575\) | −15.7903 | − | 7.03029i | −0.658501 | − | 0.293183i | ||||
\(576\) | −49.8623 | − | 10.5986i | −2.07760 | − | 0.441607i | ||||
\(577\) | 11.7574 | + | 3.82021i | 0.489467 | + | 0.159038i | 0.543344 | − | 0.839510i | \(-0.317158\pi\) |
−0.0538768 | + | 0.998548i | \(0.517158\pi\) | |||||||
\(578\) | −0.0654692 | − | 0.147046i | −0.00272316 | − | 0.00611631i | ||||
\(579\) | −35.5439 | + | 32.0039i | −1.47715 | + | 1.33004i | ||||
\(580\) | −14.8477 | − | 20.4361i | −0.616518 | − | 0.848565i | ||||
\(581\) | −2.16845 | − | 20.6314i | −0.0899624 | − | 0.855935i | ||||
\(582\) | 0.0304149 | − | 0.289379i | 0.00126074 | − | 0.0119951i | ||||
\(583\) | −8.00545 | + | 4.62195i | −0.331552 | + | 0.191422i | ||||
\(584\) | 0.660958 | 0.0273506 | ||||||||
\(585\) | 33.9869 | + | 13.0492i | 1.40519 | + | 0.539519i | ||||
\(586\) | −0.162253 | − | 0.499363i | −0.00670260 | − | 0.0206285i | ||||
\(587\) | −4.66438 | − | 21.9442i | −0.192519 | − | 0.905733i | −0.963257 | − | 0.268580i | \(-0.913446\pi\) |
0.770738 | − | 0.637152i | \(-0.219888\pi\) | |||||||
\(588\) | 12.7635 | + | 22.1071i | 0.526359 | + | 0.911681i | ||||
\(589\) | −3.70827 | + | 2.31545i | −0.152797 | + | 0.0954063i | ||||
\(590\) | − | 0.249064i | − | 0.0102538i | ||||||
\(591\) | −3.55096 | + | 3.19730i | −0.146067 | + | 0.131519i | ||||
\(592\) | −2.48940 | + | 11.7117i | −0.102314 | + | 0.481347i | ||||
\(593\) | −20.8344 | + | 28.6761i | −0.855566 | + | 1.17759i | 0.127043 | + | 0.991897i | \(0.459451\pi\) |
−0.982609 | + | 0.185688i | \(0.940549\pi\) | |||||||
\(594\) | −0.352554 | + | 0.610641i | −0.0144655 | + | 0.0250549i | ||||
\(595\) | 3.70410 | + | 6.41570i | 0.151853 | + | 0.263018i | ||||
\(596\) | −31.1503 | − | 3.27403i | −1.27597 | − | 0.134109i | ||||
\(597\) | 44.5791 | − | 32.3886i | 1.82450 | − | 1.32558i | ||||
\(598\) | 0.273224 | − | 0.337352i | 0.0111730 | − | 0.0137954i | ||||
\(599\) | 8.84491 | − | 27.2218i | 0.361393 | − | 1.11225i | −0.590816 | − | 0.806807i | \(-0.701194\pi\) |
0.952209 | − | 0.305448i | \(-0.0988061\pi\) | |||||||
\(600\) | 0.527601 | + | 0.0554531i | 0.0215392 | + | 0.00226387i | ||||
\(601\) | −44.4843 | + | 9.45543i | −1.81455 | + | 0.385695i | −0.984975 | − | 0.172697i | \(-0.944752\pi\) |
−0.829578 | + | 0.558392i | \(0.811419\pi\) | |||||||
\(602\) | 0.0521125 | + | 0.0110769i | 0.00212395 | + | 0.000451459i | ||||
\(603\) | −22.7660 | − | 31.3348i | −0.927105 | − | 1.27605i | ||||
\(604\) | −6.07198 | + | 28.5664i | −0.247066 | + | 1.16235i | ||||
\(605\) | 1.44864 | − | 6.81534i | 0.0588958 | − | 0.277083i | ||||
\(606\) | −0.144688 | − | 0.199146i | −0.00587756 | − | 0.00808976i | ||||
\(607\) | 3.71126 | + | 0.788852i | 0.150635 | + | 0.0320185i | 0.282612 | − | 0.959234i | \(-0.408799\pi\) |
−0.131977 | + | 0.991253i | \(0.542132\pi\) | |||||||
\(608\) | 0.160056 | − | 0.0340209i | 0.00649112 | − | 0.00137973i | ||||
\(609\) | 40.8900 | + | 4.29771i | 1.65695 | + | 0.174152i | ||||
\(610\) | 0.0696396 | − | 0.214329i | 0.00281962 | − | 0.00867791i | ||||
\(611\) | 28.8441 | + | 4.57064i | 1.16691 | + | 0.184908i | ||||
\(612\) | −28.6929 | + | 20.8466i | −1.15984 | + | 0.842673i | ||||
\(613\) | −10.8901 | − | 1.14460i | −0.439849 | − | 0.0462300i | −0.117984 | − | 0.993016i | \(-0.537643\pi\) |
−0.321865 | + | 0.946786i | \(0.604310\pi\) | |||||||
\(614\) | 0.0203145 | + | 0.0351857i | 0.000819826 | + | 0.00141998i | ||||
\(615\) | 12.7950 | − | 22.1615i | 0.515943 | − | 0.893640i | ||||
\(616\) | 0.269662 | − | 0.371158i | 0.0108650 | − | 0.0149544i | ||||
\(617\) | 1.58628 | − | 7.46288i | 0.0638614 | − | 0.300444i | −0.934613 | − | 0.355667i | \(-0.884254\pi\) |
0.998474 | + | 0.0552230i | \(0.0175870\pi\) | |||||||
\(618\) | 0.408743 | − | 0.368034i | 0.0164421 | − | 0.0148045i | ||||
\(619\) | − | 15.0132i | − | 0.603432i | −0.953398 | − | 0.301716i | \(-0.902441\pi\) | ||
0.953398 | − | 0.301716i | \(-0.0975594\pi\) | |||||||
\(620\) | −4.25855 | − | 17.1047i | −0.171027 | − | 0.686940i | ||||
\(621\) | −35.8506 | − | 62.0951i | −1.43864 | − | 2.49179i | ||||
\(622\) | −0.0722269 | − | 0.339801i | −0.00289604 | − | 0.0136248i | ||||
\(623\) | 2.16508 | + | 6.66343i | 0.0867421 | + | 0.266965i | ||||
\(624\) | 15.8233 | − | 41.2121i | 0.633441 | − | 1.64981i | ||||
\(625\) | −6.31440 | −0.252576 | ||||||||
\(626\) | −0.399812 | + | 0.230832i | −0.0159797 | + | 0.00922589i | ||||
\(627\) | −0.986367 | + | 9.38466i | −0.0393917 | + | 0.374787i | ||||
\(628\) | 3.52787 | + | 33.5655i | 0.140777 | + | 1.33941i | ||||
\(629\) | 4.89497 | + | 6.73735i | 0.195175 | + | 0.268636i | ||||
\(630\) | 0.219317 | − | 0.197474i | 0.00873780 | − | 0.00786755i | ||||
\(631\) | 4.44519 | + | 9.98406i | 0.176960 | + | 0.397459i | 0.980148 | − | 0.198267i | \(-0.0635312\pi\) |
−0.803188 | + | 0.595726i | \(0.796864\pi\) | |||||||
\(632\) | −0.701432 | − | 0.227909i | −0.0279015 | − | 0.00906574i | ||||
\(633\) | 2.84807 | + | 0.605375i | 0.113200 | + | 0.0240615i | ||||
\(634\) | −0.300078 | − | 0.133603i | −0.0119176 | − | 0.00530606i | ||||
\(635\) | −20.7931 | − | 18.7222i | −0.825148 | − | 0.742967i | ||||
\(636\) | 4.45736 | + | 13.7183i | 0.176746 | + | 0.543968i | ||||
\(637\) | −14.0321 | + | 5.38522i | −0.555970 | + | 0.213370i | ||||
\(638\) | 0.168074 | + | 0.517277i | 0.00665410 | + | 0.0204792i | ||||
\(639\) | 16.8617 | + | 79.3280i | 0.667038 | + | 3.13817i | ||||
\(640\) | −0.0919484 | + | 0.874831i | −0.00363458 | + | 0.0345807i | ||||
\(641\) | 15.0754 | + | 16.7429i | 0.595442 | + | 0.661305i | 0.963253 | − | 0.268595i | \(-0.0865594\pi\) |
−0.367811 | + | 0.929900i | \(0.619893\pi\) | |||||||
\(642\) | −0.341239 | − | 0.469676i | −0.0134676 | − | 0.0185366i | ||||
\(643\) | −37.1254 | + | 3.90204i | −1.46408 | + | 0.153881i | −0.802797 | − | 0.596252i | \(-0.796656\pi\) |
−0.661286 | + | 0.750134i | \(0.729989\pi\) | |||||||
\(644\) | 9.48687 | + | 21.3078i | 0.373835 | + | 0.839647i | ||||
\(645\) | − | 8.83729i | − | 0.347968i | ||||||
\(646\) | 0.0189637 | − | 0.0328461i | 0.000746117 | − | 0.00129231i | ||||
\(647\) | 1.92720 | − | 18.3361i | 0.0757662 | − | 0.720867i | −0.889027 | − | 0.457856i | \(-0.848618\pi\) |
0.964793 | − | 0.263011i | \(-0.0847156\pi\) | |||||||
\(648\) | 0.647586 | + | 0.583089i | 0.0254396 | + | 0.0229059i | ||||
\(649\) | 10.9836 | − | 33.8040i | 0.431144 | − | 1.32692i | ||||
\(650\) | −0.0404297 | + | 0.150841i | −0.00158578 | + | 0.00591649i | ||||
\(651\) | 25.3275 | + | 13.4778i | 0.992664 | + | 0.528238i | ||||
\(652\) | 2.31140 | − | 1.33449i | 0.0905216 | − | 0.0522626i | ||||
\(653\) | −6.08076 | + | 1.29251i | −0.237958 | + | 0.0505796i | −0.325347 | − | 0.945595i | \(-0.605481\pi\) |
0.0873886 | + | 0.996174i | \(0.472148\pi\) | |||||||
\(654\) | 0.333266 | + | 0.0708378i | 0.0130317 | + | 0.00276998i | ||||
\(655\) | 9.27639 | − | 12.7679i | 0.362459 | − | 0.498881i | ||||
\(656\) | −18.2761 | − | 10.5517i | −0.713562 | − | 0.411975i | ||||
\(657\) | 52.5477 | + | 30.3385i | 2.05008 | + | 1.18362i | ||||
\(658\) | 0.139152 | − | 0.191526i | 0.00542470 | − | 0.00746645i | ||||
\(659\) | 3.48549 | + | 33.1622i | 0.135775 | + | 1.29182i | 0.824112 | + | 0.566426i | \(0.191674\pi\) |
−0.688337 | + | 0.725391i | \(0.741659\pi\) | |||||||
\(660\) | −34.7576 | − | 15.4751i | −1.35294 | − | 0.602366i | ||||
\(661\) | 7.62538 | + | 35.8746i | 0.296593 | + | 1.39536i | 0.833873 | + | 0.551957i | \(0.186119\pi\) |
−0.537280 | + | 0.843404i | \(0.680548\pi\) | |||||||
\(662\) | 0.0229281 | + | 0.0166582i | 0.000891125 | + | 0.000647440i | ||||
\(663\) | −13.9376 | − | 27.3590i | −0.541290 | − | 1.06253i | ||||
\(664\) | −0.264676 | − | 0.814589i | −0.0102714 | − | 0.0316122i | ||||
\(665\) | 0.850795 | − | 1.91092i | 0.0329924 | − | 0.0741022i | ||||
\(666\) | 0.221987 | − | 0.246542i | 0.00860184 | − | 0.00955331i | ||||
\(667\) | −54.0995 | − | 11.4992i | −2.09474 | − | 0.445251i | ||||
\(668\) | 23.3264 | + | 32.1060i | 0.902524 | + | 1.24222i | ||||
\(669\) | −14.6945 | + | 69.1323i | −0.568123 | + | 2.67281i | ||||
\(670\) | −0.124106 | + | 0.111746i | −0.00479465 | + | 0.00431712i | ||||
\(671\) | 18.9036 | − | 26.0185i | 0.729764 | − | 1.00443i | ||||
\(672\) | −0.718545 | − | 0.798025i | −0.0277185 | − | 0.0307845i | ||||
\(673\) | −38.6732 | − | 17.2184i | −1.49074 | − | 0.663722i | −0.510205 | − | 0.860053i | \(-0.670431\pi\) |
−0.980538 | + | 0.196331i | \(0.937097\pi\) | |||||||
\(674\) | 0.0504578 | − | 0.113330i | 0.00194356 | − | 0.00436532i | ||||
\(675\) | 20.8671 | + | 15.1609i | 0.803176 | + | 0.583541i | ||||
\(676\) | 22.5113 | + | 13.0014i | 0.865821 | + | 0.500052i | ||||
\(677\) | 44.9410 | 1.72722 | 0.863612 | − | 0.504158i | \(-0.168197\pi\) | ||||
0.863612 | + | 0.504158i | \(0.168197\pi\) | |||||||
\(678\) | 0.0909025 | + | 0.00955424i | 0.00349109 | + | 0.000366928i | ||||
\(679\) | −6.15917 | + | 6.84045i | −0.236367 | + | 0.262512i | ||||
\(680\) | 0.204664 | + | 0.227303i | 0.00784851 | + | 0.00871666i | ||||
\(681\) | − | 21.9175i | − | 0.839881i | ||||||
\(682\) | −0.0266026 | + | 0.378600i | −0.00101867 | + | 0.0144973i | ||||
\(683\) | 7.63757 | + | 4.40955i | 0.292243 | + | 0.168727i | 0.638953 | − | 0.769246i | \(-0.279368\pi\) |
−0.346710 | + | 0.937972i | \(0.612701\pi\) | |||||||
\(684\) | 9.52403 | + | 3.09455i | 0.364161 | + | 0.118323i | ||||
\(685\) | −10.6489 | − | 2.26349i | −0.406873 | − | 0.0864836i | ||||
\(686\) | −0.0341217 | + | 0.324646i | −0.00130277 | + | 0.0123950i | ||||
\(687\) | −74.5752 | + | 43.0560i | −2.84522 | + | 1.64269i | ||||
\(688\) | −7.28791 | −0.277849 | ||||||||
\(689\) | −8.38836 | + | 1.32795i | −0.319571 | + | 0.0505909i | ||||
\(690\) | −0.472251 | + | 0.343110i | −0.0179783 | + | 0.0130620i | ||||
\(691\) | −8.69485 | + | 19.5289i | −0.330768 | + | 0.742916i | −1.00000 | 0.000136983i | \(-0.999956\pi\) | |
0.669232 | + | 0.743053i | \(0.266623\pi\) | |||||||
\(692\) | 15.2386 | − | 3.23906i | 0.579284 | − | 0.123131i | ||||
\(693\) | 38.4752 | − | 17.1302i | 1.46155 | − | 0.650724i | ||||
\(694\) | 0.259915 | + | 0.0844516i | 0.00986625 | + | 0.00320574i | ||||
\(695\) | 5.04761 | − | 23.7471i | 0.191467 | − | 0.900780i | ||||
\(696\) | 1.68824 | − | 0.177441i | 0.0639926 | − | 0.00672590i | ||||
\(697\) | −13.9597 | + | 4.53578i | −0.528761 | + | 0.171805i | ||||
\(698\) | −0.208303 | − | 0.0442762i | −0.00788439 | − | 0.00167588i | ||||
\(699\) | −53.8181 | − | 23.9614i | −2.03559 | − | 0.906302i | ||||
\(700\) | −6.23535 | − | 5.61434i | −0.235674 | − | 0.212202i | ||||
\(701\) | 0.303170 | − | 0.933061i | 0.0114506 | − | 0.0352412i | −0.945168 | − | 0.326585i | \(-0.894102\pi\) |
0.956619 | + | 0.291343i | \(0.0941022\pi\) | |||||||
\(702\) | −0.503478 | + | 0.407647i | −0.0190026 | + | 0.0153856i | ||||
\(703\) | 0.726629 | − | 2.23633i | 0.0274053 | − | 0.0843449i | ||||
\(704\) | −12.7581 | + | 28.6551i | −0.480838 | + | 1.07998i | ||||
\(705\) | −35.8741 | − | 15.9722i | −1.35110 | − | 0.601547i | ||||
\(706\) | −0.117944 | + | 0.0525122i | −0.00443889 | + | 0.00197632i | ||||
\(707\) | 7.78705i | 0.292862i | ||||||||
\(708\) | −48.0322 | − | 27.7314i | −1.80516 | − | 1.04221i | ||||
\(709\) | −12.1602 | − | 27.3123i | −0.456687 | − | 1.02574i | −0.984341 | − | 0.176277i | \(-0.943595\pi\) |
0.527653 | − | 0.849460i | \(-0.323072\pi\) | |||||||
\(710\) | 0.332568 | − | 0.108058i | 0.0124811 | − | 0.00405534i | ||||
\(711\) | −45.3044 | − | 50.3156i | −1.69905 | − | 1.88698i | ||||
\(712\) | 0.144637 | + | 0.250519i | 0.00542050 | + | 0.00938858i | ||||
\(713\) | −31.9887 | − | 21.5924i | −1.19799 | − | 0.808641i | ||||
\(714\) | −0.248903 | −0.00931494 | ||||||||
\(715\) | 12.2021 | − | 18.7865i | 0.456332 | − | 0.702576i | ||||
\(716\) | −7.38847 | − | 22.7394i | −0.276120 | − | 0.849810i | ||||
\(717\) | 32.7857 | + | 3.44592i | 1.22440 | + | 0.128690i | ||||
\(718\) | −0.126116 | − | 0.218440i | −0.00470662 | − | 0.00815211i | ||||
\(719\) | 18.1972 | − | 31.5184i | 0.678640 | − | 1.17544i | −0.296751 | − | 0.954955i | \(-0.595903\pi\) |
0.975391 | − | 0.220483i | \(-0.0707635\pi\) | |||||||
\(720\) | −23.7292 | + | 32.6604i | −0.884334 | + | 1.21718i | ||||
\(721\) | −17.3041 | + | 1.81874i | −0.644440 | + | 0.0677334i | ||||
\(722\) | 0.317568 | − | 0.0333777i | 0.0118186 | − | 0.00124219i | ||||
\(723\) | 78.7687 | + | 25.5935i | 2.92944 | + | 0.951832i | ||||
\(724\) | −27.4392 | + | 12.2167i | −1.01977 | + | 0.454031i | ||||
\(725\) | 19.4613 | − | 4.13662i | 0.722774 | − | 0.153630i | ||||
\(726\) | 0.173969 | + | 0.156643i | 0.00645661 | + | 0.00581355i | ||||
\(727\) | −4.05264 | + | 2.94441i | −0.150304 | + | 0.109202i | −0.660396 | − | 0.750918i | \(-0.729611\pi\) |
0.510092 | + | 0.860120i | \(0.329611\pi\) | |||||||
\(728\) | 0.353516 | − | 0.229539i | 0.0131022 | − | 0.00850729i | ||||
\(729\) | −4.64525 | − | 14.2966i | −0.172046 | − | 0.529504i | ||||
\(730\) | 0.106412 | − | 0.239004i | 0.00393847 | − | 0.00884594i | ||||
\(731\) | −3.39180 | + | 3.76698i | −0.125450 | + | 0.139327i | ||||
\(732\) | −33.5797 | − | 37.2940i | −1.24114 | − | 1.37843i | ||||
\(733\) | 11.8943 | − | 16.3711i | 0.439327 | − | 0.604681i | −0.530736 | − | 0.847537i | \(-0.678084\pi\) |
0.970062 | + | 0.242856i | \(0.0780842\pi\) | |||||||
\(734\) | −0.155744 | + | 0.140232i | −0.00574861 | + | 0.00517607i | ||||
\(735\) | 20.0992 | − | 2.11252i | 0.741372 | − | 0.0779213i | ||||
\(736\) | 0.849079 | + | 1.16866i | 0.0312975 | + | 0.0430773i | ||||
\(737\) | −21.7722 | + | 9.69361i | −0.801989 | + | 0.357069i | ||||
\(738\) | 0.292365 | + | 0.506392i | 0.0107621 | + | 0.0186405i | ||||
\(739\) | 28.8462 | − | 16.6544i | 1.06112 | − | 0.612640i | 0.135381 | − | 0.990794i | \(-0.456774\pi\) |
0.925743 | + | 0.378153i | \(0.123441\pi\) | |||||||
\(740\) | 7.67013 | + | 5.57267i | 0.281960 | + | 0.204856i | ||||
\(741\) | −3.93650 | + | 7.72441i | −0.144611 | + | 0.283763i | ||||
\(742\) | −0.0212746 | + | 0.0654765i | −0.000781015 | + | 0.00240372i | ||||
\(743\) | 22.8837 | − | 13.2119i | 0.839522 | − | 0.484698i | −0.0175795 | − | 0.999845i | \(-0.505596\pi\) |
0.857102 | + | 0.515147i | \(0.172263\pi\) | |||||||
\(744\) | 1.13855 | + | 0.326890i | 0.0417413 | + | 0.0119844i | ||||
\(745\) | −12.3989 | + | 21.4755i | −0.454260 | + | 0.786801i | ||||
\(746\) | 0.470022 | + | 0.152719i | 0.0172087 | + | 0.00559146i | ||||
\(747\) | 16.3479 | − | 76.9106i | 0.598137 | − | 2.81401i | ||||
\(748\) | 8.87632 | + | 19.9365i | 0.324550 | + | 0.728952i | ||||
\(749\) | 18.3653i | 0.671055i | ||||||||
\(750\) | 0.315524 | − | 0.546503i | 0.0115213 | − | 0.0199555i | ||||
\(751\) | −1.00727 | + | 9.58350i | −0.0367557 | + | 0.349707i | 0.960652 | + | 0.277754i | \(0.0895899\pi\) |
−0.997408 | + | 0.0719532i | \(0.977077\pi\) | |||||||
\(752\) | −13.1719 | + | 29.5845i | −0.480329 | + | 1.07884i | ||||
\(753\) | −12.0087 | + | 8.72484i | −0.437622 | + | 0.317951i | ||||
\(754\) | −0.0261893 | + | 0.499019i | −0.000953759 | + | 0.0181732i | ||||
\(755\) | 18.7057 | + | 13.5905i | 0.680770 | + | 0.494608i | ||||
\(756\) | −7.23658 | − | 34.0454i | −0.263192 | − | 1.23822i | ||||
\(757\) | −17.3503 | + | 19.2695i | −0.630608 | + | 0.700361i | −0.970772 | − | 0.240005i | \(-0.922851\pi\) |
0.340164 | + | 0.940366i | \(0.389517\pi\) | |||||||
\(758\) | −0.0360505 | − | 0.342998i | −0.00130941 | − | 0.0124582i | ||||
\(759\) | −79.2269 | + | 25.7424i | −2.87576 | + | 0.934389i | ||||
\(760\) | 0.0179559 | − | 0.0844761i | 0.000651331 | − | 0.00306427i | ||||
\(761\) | 20.3861 | − | 2.14267i | 0.738997 | − | 0.0776717i | 0.272452 | − | 0.962169i | \(-0.412165\pi\) |
0.466545 | + | 0.884498i | \(0.345499\pi\) | |||||||
\(762\) | 0.894063 | − | 0.290499i | 0.0323885 | − | 0.0105237i | ||||
\(763\) | −7.21200 | − | 8.00974i | −0.261092 | − | 0.289972i | ||||
\(764\) | 3.88828 | − | 36.9945i | 0.140673 | − | 1.33841i | ||||
\(765\) | 5.83794 | + | 27.4653i | 0.211071 | + | 0.993012i | ||||
\(766\) | −0.501909 | + | 0.364658i | −0.0181347 | + | 0.0131756i | ||||
\(767\) | 20.5528 | − | 25.3767i | 0.742117 | − | 0.916300i | ||||
\(768\) | 39.5797 | + | 28.7564i | 1.42821 | + | 1.03766i | ||||
\(769\) | 12.0720 | − | 6.96976i | 0.435327 | − | 0.251336i | −0.266287 | − | 0.963894i | \(-0.585797\pi\) |
0.701613 | + | 0.712558i | \(0.252463\pi\) | |||||||
\(770\) | −0.0907972 | − | 0.157265i | −0.00327210 | − | 0.00566745i | ||||
\(771\) | −65.3800 | + | 29.1091i | −2.35460 | + | 1.04834i | ||||
\(772\) | 29.7038 | − | 9.65135i | 1.06906 | − | 0.347360i | ||||
\(773\) | 28.9252 | − | 26.0444i | 1.04037 | − | 0.936752i | 0.0423139 | − | 0.999104i | \(-0.486527\pi\) |
0.998054 | + | 0.0623527i | \(0.0198604\pi\) | |||||||
\(774\) | 0.174878 | + | 0.100966i | 0.00628587 | + | 0.00362915i | ||||
\(775\) | 13.6718 | + | 2.41546i | 0.491105 | + | 0.0867659i | ||||
\(776\) | −0.190020 | + | 0.329124i | −0.00682131 | + | 0.0118149i | ||||
\(777\) | −15.0942 | + | 3.20838i | −0.541502 | + | 0.115100i | ||||
\(778\) | −0.0515419 | − | 0.0464085i | −0.00184787 | − | 0.00166383i | ||||
\(779\) | 3.35294 | + | 2.43605i | 0.120132 | + | 0.0872807i | ||||
\(780\) | −24.7155 | − | 24.7191i | −0.884956 | − | 0.885086i | ||||
\(781\) | 49.9029 | 1.78566 | ||||||||
\(782\) | 0.332989 | + | 0.0349986i | 0.0119077 | + | 0.00125155i | ||||
\(783\) | 75.3987 | + | 33.5697i | 2.69453 | + | 1.19968i | ||||
\(784\) | −1.74214 | − | 16.5754i | −0.0622194 | − | 0.591978i | ||||
\(785\) | 25.4126 | + | 8.25706i | 0.907015 | + | 0.294707i | ||||
\(786\) | 0.215670 | + | 0.484403i | 0.00769270 | + | 0.0172781i | ||||
\(787\) | −18.6994 | + | 16.8370i | −0.666562 | + | 0.600176i | −0.931347 | − | 0.364132i | \(-0.881366\pi\) |
0.264785 | + | 0.964307i | \(0.414699\pi\) | |||||||
\(788\) | 2.96751 | − | 0.964204i | 0.105713 | − | 0.0343483i | ||||
\(789\) | 4.10130 | + | 39.0212i | 0.146010 | + | 1.38919i | ||||
\(790\) | −0.195340 | + | 0.216948i | −0.00694990 | + | 0.00771865i | ||||
\(791\) | −2.14879 | − | 1.93478i | −0.0764022 | − | 0.0687928i | ||||
\(792\) | 1.40678 | − | 1.02208i | 0.0499877 | − | 0.0363182i | ||||
\(793\) | 24.7819 | − | 16.0909i | 0.880030 | − | 0.571406i | ||||
\(794\) | −0.113991 | + | 0.350827i | −0.00404537 | + | 0.0124504i | ||||
\(795\) | 11.3573 | + | 1.19370i | 0.402801 | + | 0.0423361i | ||||
\(796\) | −35.1958 | + | 7.48111i | −1.24748 | + | 0.265161i | ||||
\(797\) | −0.306980 | − | 2.92072i | −0.0108738 | − | 0.103457i | 0.987739 | − | 0.156116i | \(-0.0498972\pi\) |
−0.998613 | + | 0.0526584i | \(0.983231\pi\) | |||||||
\(798\) | 0.0413092 | + | 0.0568572i | 0.00146233 | + | 0.00201272i | ||||
\(799\) | 9.16146 | + | 20.5770i | 0.324109 | + | 0.727961i | ||||
\(800\) | −0.450027 | − | 0.259823i | −0.0159108 | − | 0.00918613i | ||||
\(801\) | 26.5558i | 0.938302i | ||||||||
\(802\) | 0.00297236 | − | 0.00132338i | 0.000104958 | − | 4.67301e-5i | ||||
\(803\) | 24.9826 | − | 27.7460i | 0.881617 | − | 0.979135i | ||||
\(804\) | 7.73199 | + | 36.3762i | 0.272686 | + | 1.28289i | ||||
\(805\) | 18.4660 | 0.650843 | ||||||||
\(806\) | −0.147495 | + | 0.315965i | −0.00519530 | + | 0.0111294i | ||||
\(807\) | 44.9802 | 1.58338 | ||||||||
\(808\) | 0.0668451 | + | 0.314482i | 0.00235160 | + | 0.0110634i | ||||
\(809\) | 24.1591 | − | 26.8314i | 0.849390 | − | 0.943343i | −0.149578 | − | 0.988750i | \(-0.547792\pi\) |
0.998969 | + | 0.0454065i | \(0.0144583\pi\) | |||||||
\(810\) | 0.315105 | − | 0.140294i | 0.0110717 | − | 0.00492943i | ||||
\(811\) | − | 16.7715i | − | 0.588926i | −0.955663 | − | 0.294463i | \(-0.904859\pi\) | ||
0.955663 | − | 0.294463i | \(-0.0951408\pi\) | |||||||
\(812\) | −23.2513 | − | 13.4241i | −0.815960 | − | 0.471095i | ||||
\(813\) | 19.1954 | + | 43.1135i | 0.673211 | + | 1.51206i | ||||
\(814\) | −0.119988 | − | 0.165150i | −0.00420559 | − | 0.00578850i | ||||
\(815\) | −0.220874 | − | 2.10147i | −0.00773687 | − | 0.0736114i | ||||
\(816\) | 33.3042 | − | 7.07902i | 1.16588 | − | 0.247815i | ||||
\(817\) | 1.42342 | + | 0.149607i | 0.0497991 | + | 0.00523409i | ||||
\(818\) | 0.0794211 | − | 0.244433i | 0.00277689 | − | 0.00854640i | ||||
\(819\) | 38.6414 | − | 2.02226i | 1.35024 | − | 0.0706634i | ||||
\(820\) | −13.5189 | + | 9.82204i | −0.472100 | + | 0.343001i | ||||
\(821\) | −5.23114 | − | 4.71014i | −0.182568 | − | 0.164385i | 0.572779 | − | 0.819710i | \(-0.305865\pi\) |
−0.755347 | + | 0.655325i | \(0.772532\pi\) | |||||||
\(822\) | 0.244753 | − | 0.271825i | 0.00853673 | − | 0.00948100i | ||||
\(823\) | 2.42404 | + | 23.0632i | 0.0844969 | + | 0.803934i | 0.951917 | + | 0.306357i | \(0.0991102\pi\) |
−0.867420 | + | 0.497577i | \(0.834223\pi\) | |||||||
\(824\) | −0.683219 | + | 0.221991i | −0.0238011 | + | 0.00773343i | ||||
\(825\) | 22.2699 | − | 20.0519i | 0.775338 | − | 0.698118i | ||||
\(826\) | −0.107671 | − | 0.241833i | −0.00374636 | − | 0.00841445i | ||||
\(827\) | 47.8264 | + | 15.5397i | 1.66309 | + | 0.540369i | 0.981515 | − | 0.191383i | \(-0.0612972\pi\) |
0.681571 | + | 0.731752i | \(0.261297\pi\) | |||||||
\(828\) | 9.24084 | + | 87.9207i | 0.321141 | + | 3.05546i | ||||
\(829\) | 4.64172 | + | 2.06663i | 0.161214 | + | 0.0717770i | 0.485757 | − | 0.874094i | \(-0.338544\pi\) |
−0.324543 | + | 0.945871i | \(0.605211\pi\) | |||||||
\(830\) | −0.337170 | − | 0.0354380i | −0.0117033 | − | 0.00123007i | ||||
\(831\) | −34.7483 | −1.20541 | ||||||||
\(832\) | −20.3791 | + | 20.3761i | −0.706519 | + | 0.706415i | ||||
\(833\) | −9.37828 | − | 6.81372i | −0.324938 | − | 0.236081i | ||||
\(834\) | 0.606173 | + | 0.545800i | 0.0209900 | + | 0.0188995i | ||||
\(835\) | 30.7325 | − | 6.53239i | 1.06354 | − | 0.226063i | ||||
\(836\) | 3.08097 | − | 5.33640i | 0.106558 | − | 0.184563i | ||||
\(837\) | 39.9932 | + | 41.4421i | 1.38237 | + | 1.43245i | ||||
\(838\) | 0.457361 | + | 0.264057i | 0.0157993 | + | 0.00912171i | ||||
\(839\) | −28.7232 | + | 25.8625i | −0.991634 | + | 0.892871i | −0.994246 | − | 0.107125i | \(-0.965835\pi\) |
0.00261135 | + | 0.999997i | \(0.499169\pi\) | |||||||
\(840\) | −0.539029 | + | 0.175141i | −0.0185983 | + | 0.00604294i | ||||
\(841\) | 31.6674 | − | 14.0992i | 1.09198 | − | 0.486180i | ||||
\(842\) | −0.140002 | − | 0.242490i | −0.00482478 | − | 0.00835676i | ||||
\(843\) | 26.4869 | − | 15.2922i | 0.912257 | − | 0.526692i | ||||
\(844\) | −1.53822 | − | 1.11758i | −0.0529476 | − | 0.0384686i | ||||
\(845\) | 16.6524 | − | 12.0949i | 0.572860 | − | 0.416078i | ||||
\(846\) | 0.725930 | − | 0.527419i | 0.0249580 | − | 0.0181330i | ||||
\(847\) | −1.53970 | − | 7.24373i | −0.0529048 | − | 0.248898i | ||||
\(848\) | 0.984415 | − | 9.36608i | 0.0338049 | − | 0.321633i | ||||
\(849\) | −48.0169 | − | 53.3282i | −1.64794 | − | 1.83022i | ||||
\(850\) | −0.114551 | + | 0.0372200i | −0.00392908 | + | 0.00127663i | ||||
\(851\) | 20.6446 | − | 2.16984i | 0.707688 | − | 0.0743810i | ||||
\(852\) | 16.1899 | − | 76.1676i | 0.554657 | − | 2.60946i | ||||
\(853\) | −29.0986 | + | 9.45470i | −0.996316 | + | 0.323723i | −0.761392 | − | 0.648291i | \(-0.775484\pi\) |
−0.234923 | + | 0.972014i | \(0.575484\pi\) | |||||||
\(854\) | −0.0250371 | − | 0.238212i | −0.000856751 | − | 0.00815144i | ||||
\(855\) | 5.30506 | − | 5.89186i | 0.181429 | − | 0.201497i | ||||
\(856\) | 0.157651 | + | 0.741688i | 0.00538839 | + | 0.0253504i | ||||
\(857\) | 44.9684 | + | 32.6714i | 1.53609 | + | 1.11603i | 0.952729 | + | 0.303822i | \(0.0982629\pi\) |
0.583361 | + | 0.812213i | \(0.301737\pi\) | |||||||
\(858\) | 0.341646 | + | 0.670639i | 0.0116636 | + | 0.0228952i | ||||
\(859\) | −34.3973 | + | 24.9911i | −1.17362 | + | 0.852686i | −0.991438 | − | 0.130579i | \(-0.958316\pi\) |
−0.182183 | + | 0.983265i | \(0.558316\pi\) | |||||||
\(860\) | −2.34718 | + | 5.27185i | −0.0800381 | + | 0.179769i | ||||
\(861\) | 2.84301 | − | 27.0495i | 0.0968897 | − | 0.921844i | ||||
\(862\) | 0.0251253 | − | 0.0435183i | 0.000855771 | − | 0.00148224i | ||||
\(863\) | 34.3670i | 1.16987i | 0.811081 | + | 0.584933i | \(0.198879\pi\) | ||||
−0.811081 | + | 0.584933i | \(0.801121\pi\) | |||||||
\(864\) | −0.876774 | − | 1.96927i | −0.0298284 | − | 0.0669958i | ||||
\(865\) | 2.56439 | − | 12.0645i | 0.0871918 | − | 0.410205i | ||||
\(866\) | 0.215635 | + | 0.0700642i | 0.00732759 | + | 0.00238088i | ||||
\(867\) | −14.1889 | + | 24.5759i | −0.481881 | + | 0.834643i | ||||
\(868\) | −11.5293 | − | 14.7671i | −0.391331 | − | 0.501229i | ||||
\(869\) | −36.0797 | + | 20.8306i | −1.22392 | + | 0.706631i | ||||
\(870\) | 0.207637 | − | 0.639041i | 0.00703955 | − | 0.0216655i | ||||
\(871\) | −21.8663 | + | 1.14435i | −0.740911 | + | 0.0387748i | ||||
\(872\) | −0.360015 | − | 0.261566i | −0.0121916 | − | 0.00885775i | ||||
\(873\) | −30.2141 | + | 17.4441i | −1.02259 | + | 0.590393i | ||||
\(874\) | −0.0472698 | − | 0.0818738i | −0.00159893 | − | 0.00276942i | ||||
\(875\) | −18.2369 | + | 8.11959i | −0.616520 | + | 0.274492i | ||||
\(876\) | −34.2441 | − | 47.1330i | −1.15700 | − | 1.59248i | ||||
\(877\) | −2.13071 | + | 0.223946i | −0.0719489 | + | 0.00756213i | −0.140434 | − | 0.990090i | \(-0.544850\pi\) |
0.0684856 | + | 0.997652i | \(0.478183\pi\) | |||||||
\(878\) | −0.0585292 | + | 0.0526999i | −0.00197526 | + | 0.00177854i | ||||
\(879\) | −54.4107 | + | 74.8899i | −1.83523 | + | 2.52597i | ||||
\(880\) | 16.6218 | + | 18.4604i | 0.560321 | + | 0.622299i | ||||
\(881\) | −7.28763 | + | 8.09374i | −0.245527 | + | 0.272685i | −0.853294 | − | 0.521430i | \(-0.825399\pi\) |
0.607767 | + | 0.794115i | \(0.292065\pi\) | |||||||
\(882\) | −0.187830 | + | 0.421873i | −0.00632457 | + | 0.0142052i | ||||
\(883\) | −13.6733 | − | 42.0820i | −0.460142 | − | 1.41617i | −0.864991 | − | 0.501787i | \(-0.832676\pi\) |
0.404849 | − | 0.914383i | \(-0.367324\pi\) | |||||||
\(884\) | 1.04787 | + | 20.0227i | 0.0352435 | + | 0.673436i | ||||
\(885\) | −35.5242 | + | 25.8098i | −1.19413 | + | 0.867589i | ||||
\(886\) | −0.199354 | − | 0.179499i | −0.00669743 | − | 0.00603039i | ||||
\(887\) | 7.73870 | − | 1.64491i | 0.259840 | − | 0.0552307i | −0.0761495 | − | 0.997096i | \(-0.524263\pi\) |
0.335990 | + | 0.941866i | \(0.390929\pi\) | |||||||
\(888\) | −0.582042 | + | 0.259142i | −0.0195320 | + | 0.00869623i | ||||
\(889\) | −28.2831 | − | 9.18973i | −0.948584 | − | 0.308214i | ||||
\(890\) | 0.113874 | − | 0.0119687i | 0.00381707 | − | 0.000401190i | ||||
\(891\) | 48.9544 | − | 5.14531i | 1.64003 | − | 0.172374i | ||||
\(892\) | 27.1275 | − | 37.3378i | 0.908295 | − | 1.25016i | ||||
\(893\) | 3.17995 | − | 5.50783i | 0.106413 | − | 0.184312i | ||||
\(894\) | −0.416580 | − | 0.721538i | −0.0139325 | − | 0.0241318i | ||||
\(895\) | −18.8257 | − | 1.97866i | −0.629274 | − | 0.0661393i | ||||
\(896\) | 0.288913 | + | 0.889183i | 0.00965191 | + | 0.0297055i | ||||
\(897\) | −76.4304 | − | 4.01119i | −2.55194 | − | 0.133930i | ||||
\(898\) | 0.555228 | 0.0185282 | ||||||||
\(899\) | 44.3986 | − | 1.53544i | 1.48078 | − | 0.0512099i | ||||
\(900\) | −15.9010 | − | 27.5414i | −0.530034 | − | 0.918046i | ||||
\(901\) | −4.38300 | − | 4.86781i | −0.146019 | − | 0.162170i | ||||
\(902\) | 0.342189 | − | 0.111184i | 0.0113936 | − | 0.00370202i | ||||
\(903\) | −3.82039 | − | 8.58073i | −0.127135 | − | 0.285549i | ||||
\(904\) | −0.103388 | − | 0.0596909i | −0.00343862 | − | 0.00198529i | ||||
\(905\) | 23.7797i | 0.790464i | ||||||||
\(906\) | −0.709680 | + | 0.315970i | −0.0235775 | + | 0.0104974i | ||||
\(907\) | −8.21594 | − | 3.65797i | −0.272806 | − | 0.121461i | 0.265774 | − | 0.964035i | \(-0.414372\pi\) |
−0.538580 | + | 0.842574i | \(0.681039\pi\) | |||||||
\(908\) | −5.82128 | + | 13.0748i | −0.193186 | + | 0.433902i | ||||
\(909\) | −9.12059 | + | 28.0703i | −0.302511 | + | 0.931033i | ||||
\(910\) | −0.0260873 | − | 0.164788i | −0.000864787 | − | 0.00546265i | ||||
\(911\) | 1.50279 | − | 4.62511i | 0.0497896 | − | 0.153237i | −0.923070 | − | 0.384631i | \(-0.874329\pi\) |
0.972860 | + | 0.231394i | \(0.0743287\pi\) | |||||||
\(912\) | −7.14441 | − | 6.43285i | −0.236575 | − | 0.213013i | ||||
\(913\) | −44.1993 | − | 19.6788i | −1.46278 | − | 0.651273i | ||||
\(914\) | −0.285921 | − | 0.0607743i | −0.00945741 | − | 0.00201023i | ||||
\(915\) | −37.7865 | + | 12.2776i | −1.24918 | + | 0.405884i | ||||
\(916\) | 55.9232 | − | 5.87776i | 1.84775 | − | 0.194207i | ||||
\(917\) | 3.48750 | − | 16.4074i | 0.115167 | − | 0.541820i | ||||
\(918\) | −0.475189 | − | 0.154398i | −0.0156836 | − | 0.00509591i | ||||
\(919\) | −47.1744 | + | 21.0034i | −1.55614 | + | 0.692838i | −0.991210 | − | 0.132301i | \(-0.957764\pi\) |
−0.564930 | + | 0.825139i | \(0.691097\pi\) | |||||||
\(920\) | 0.745755 | − | 0.158515i | 0.0245868 | − | 0.00522609i | ||||
\(921\) | 2.91343 | − | 6.54368i | 0.0960009 | − | 0.215622i | ||||
\(922\) | 0.164627 | − | 0.119609i | 0.00542170 | − | 0.00393910i | ||||
\(923\) | 42.8018 | + | 16.4337i | 1.40884 | + | 0.540921i | ||||
\(924\) | −40.4384 | −1.33033 | ||||||||
\(925\) | −6.46698 | + | 3.73371i | −0.212633 | + | 0.122764i | ||||
\(926\) | −0.0521431 | + | 0.496109i | −0.00171353 | + | 0.0163031i | ||||
\(927\) | −64.5071 | − | 13.7114i | −2.11869 | − | 0.450342i | ||||
\(928\) | −1.58140 | − | 0.513829i | −0.0519121 | − | 0.0168673i | ||||
\(929\) | −12.2269 | − | 7.05920i | −0.401151 | − | 0.231605i | 0.285829 | − | 0.958281i | \(-0.407731\pi\) |
−0.686981 | + | 0.726676i | \(0.741064\pi\) | |||||||
\(930\) | 0.301507 | − | 0.359076i | 0.00988680 | − | 0.0117746i | ||||
\(931\) | 3.27314i | 0.107273i | ||||||||
\(932\) | 25.7408 | + | 28.5881i | 0.843169 | + | 0.936435i | ||||
\(933\) | −40.9814 | + | 45.5145i | −1.34167 | + | 1.49008i | ||||
\(934\) | −0.154887 | − | 0.0162793i | −0.00506807 | − | 0.000532675i | ||||
\(935\) | 17.2776 | 0.565039 | ||||||||
\(936\) | 1.54318 | − | 0.413373i | 0.0504405 | − | 0.0135115i | ||||
\(937\) | −34.6392 | − | 25.1669i | −1.13161 | − | 0.822166i | −0.145686 | − | 0.989331i | \(-0.546539\pi\) |
−0.985929 | + | 0.167165i | \(0.946539\pi\) | |||||||
\(938\) | −0.0721953 | + | 0.162153i | −0.00235726 | + | 0.00529449i | ||||
\(939\) | 74.3553 | + | 33.1051i | 2.42649 | + | 1.08034i | ||||
\(940\) | 17.1583 | + | 19.0563i | 0.559644 | + | 0.621547i | ||||
\(941\) | −3.28459 | + | 4.52085i | −0.107075 | + | 0.147375i | −0.859191 | − | 0.511654i | \(-0.829033\pi\) |
0.752117 | + | 0.659030i | \(0.229033\pi\) | |||||||
\(942\) | −0.667164 | + | 0.600717i | −0.0217374 | + | 0.0195724i | ||||
\(943\) | −7.60693 | + | 35.7878i | −0.247716 | + | 1.16541i | ||||
\(944\) | 21.2848 | + | 29.2960i | 0.692761 | + | 0.953503i | ||||
\(945\) | −26.9540 | − | 5.72925i | −0.876814 | − | 0.186372i | ||||
\(946\) | 0.0831418 | − | 0.0923384i | 0.00270317 | − | 0.00300218i | ||||
\(947\) | −4.50348 | + | 10.1150i | −0.146343 | + | 0.328693i | −0.971813 | − | 0.235754i | \(-0.924244\pi\) |
0.825469 | + | 0.564447i | \(0.190911\pi\) | |||||||
\(948\) | 20.0889 | + | 61.8271i | 0.652456 | + | 2.00805i | ||||
\(949\) | 30.5647 | − | 15.5707i | 0.992174 | − | 0.505446i | ||||
\(950\) | 0.0275138 | + | 0.0199899i | 0.000892664 | + | 0.000648558i | ||||
\(951\) | 12.0403 | + | 56.6453i | 0.390435 | + | 1.83685i | ||||
\(952\) | 0.296986 | + | 0.132227i | 0.00962537 | + | 0.00428549i | ||||
\(953\) | −0.715897 | − | 6.81130i | −0.0231902 | − | 0.220640i | −0.999979 | − | 0.00643652i | \(-0.997951\pi\) |
0.976789 | − | 0.214203i | \(-0.0687155\pi\) | |||||||
\(954\) | −0.153379 | + | 0.211108i | −0.00496582 | + | 0.00683486i | ||||
\(955\) | −25.5046 | − | 14.7251i | −0.825309 | − | 0.476492i | ||||
\(956\) | −18.6430 | − | 10.7635i | −0.602956 | − | 0.348117i | ||||
\(957\) | 56.3627 | − | 77.5766i | 1.82195 | − | 2.50770i | ||||
\(958\) | 0.0770256 | + | 0.0163723i | 0.00248858 | + | 0.000528965i | ||||
\(959\) | −11.3183 | + | 2.40577i | −0.365486 | + | 0.0776864i | ||||
\(960\) | 33.5589 | − | 19.3752i | 1.08311 | − | 0.625332i | ||||
\(961\) | 29.1233 | + | 10.6223i | 0.939462 | + | 0.342654i | ||||
\(962\) | −0.0485282 | − | 0.181163i | −0.00156461 | − | 0.00584094i | ||||
\(963\) | −21.5104 | + | 66.2023i | −0.693164 | + | 2.13334i | ||||
\(964\) | −40.1915 | − | 36.1886i | −1.29448 | − | 1.16556i | ||||
\(965\) | 2.58467 | − | 24.5915i | 0.0832034 | − | 0.791627i | ||||
\(966\) | −0.310213 | + | 0.537305i | −0.00998094 | + | 0.0172875i | ||||
\(967\) | 46.8863i | 1.50776i | 0.657012 | + | 0.753880i | \(0.271820\pi\) | ||||
−0.657012 | + | 0.753880i | \(0.728180\pi\) | |||||||
\(968\) | −0.124362 | − | 0.279322i | −0.00399716 | − | 0.00897776i | ||||
\(969\) | −6.65003 | + | 0.698947i | −0.213630 | + | 0.0224534i | ||||
\(970\) | 0.0884198 | + | 0.121699i | 0.00283899 | + | 0.00390753i | ||||
\(971\) | −9.39841 | − | 10.4380i | −0.301609 | − | 0.334971i | 0.573221 | − | 0.819401i | \(-0.305694\pi\) |
−0.874830 | + | 0.484430i | \(0.839027\pi\) | |||||||
\(972\) | 1.54239 | − | 14.6748i | 0.0494721 | − | 0.470696i | ||||
\(973\) | −5.36489 | − | 25.2398i | −0.171990 | − | 0.809151i | ||||
\(974\) | −0.105756 | − | 0.325485i | −0.00338865 | − | 0.0104292i | ||||
\(975\) | 25.7043 | − | 9.86478i | 0.823196 | − | 0.315926i | ||||
\(976\) | 10.1250 | + | 31.1616i | 0.324094 | + | 0.997459i | ||||
\(977\) | 40.7864 | + | 36.7243i | 1.30487 | + | 1.17491i | 0.972797 | + | 0.231661i | \(0.0744159\pi\) |
0.332077 | + | 0.943252i | \(0.392251\pi\) | |||||||
\(978\) | 0.0648569 | + | 0.0288761i | 0.00207389 | + | 0.000923357i | ||||
\(979\) | 15.9833 | + | 3.39736i | 0.510829 | + | 0.108580i | ||||
\(980\) | −12.5512 | − | 4.07813i | −0.400934 | − | 0.130271i | ||||
\(981\) | −16.6160 | − | 37.3201i | −0.530507 | − | 1.19154i | ||||
\(982\) | −0.0639827 | + | 0.0576103i | −0.00204177 | + | 0.00183842i | ||||
\(983\) | −29.8385 | − | 41.0692i | −0.951700 | − | 1.30990i | −0.950768 | − | 0.309903i | \(-0.899703\pi\) |
−0.000931683 | − | 1.00000i | \(-0.500297\pi\) | |||||||
\(984\) | −0.117381 | − | 1.11680i | −0.00374196 | − | 0.0356024i | ||||
\(985\) | 0.258218 | − | 2.45678i | 0.00822749 | − | 0.0782794i | ||||
\(986\) | −0.333774 | + | 0.192705i | −0.0106295 | + | 0.00613697i | ||||
\(987\) | −41.7374 | −1.32852 | ||||||||
\(988\) | 4.39990 | − | 3.56244i | 0.139980 | − | 0.113336i | ||||
\(989\) | 3.90447 | + | 12.0167i | 0.124155 | + | 0.382110i | ||||
\(990\) | −0.143103 | − | 0.673247i | −0.00454811 | − | 0.0213972i | ||||
\(991\) | −21.2372 | − | 36.7839i | −0.674623 | − | 1.16848i | −0.976579 | − | 0.215159i | \(-0.930973\pi\) |
0.301957 | − | 0.953322i | \(-0.402360\pi\) | |||||||
\(992\) | −0.888588 | − | 0.746124i | −0.0282127 | − | 0.0236895i | ||||
\(993\) | − | 4.99650i | − | 0.158559i | ||||||
\(994\) | 0.276199 | − | 0.248691i | 0.00876051 | − | 0.00788800i | ||||
\(995\) | −5.92285 | + | 27.8648i | −0.187767 | + | 0.883374i | ||||
\(996\) | −44.3756 | + | 61.0778i | −1.40610 | + | 1.93532i | ||||
\(997\) | −7.67020 | + | 13.2852i | −0.242918 | + | 0.420746i | −0.961544 | − | 0.274651i | \(-0.911438\pi\) |
0.718626 | + | 0.695396i | \(0.244771\pi\) | |||||||
\(998\) | 0.154107 | + | 0.266921i | 0.00487818 | + | 0.00844925i | ||||
\(999\) | −30.8072 | − | 3.23796i | −0.974695 | − | 0.102445i |
(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 | 403.2.bs.a.101.18 | yes | 288 | |
13.4 | even | 6 | inner | 403.2.bs.a.225.19 | yes | 288 | |
31.4 | even | 5 | inner | 403.2.bs.a.283.19 | yes | 288 | |
403.4 | even | 30 | inner | 403.2.bs.a.4.18 | ✓ | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bs.a.4.18 | ✓ | 288 | 403.4 | even | 30 | inner | |
403.2.bs.a.101.18 | yes | 288 | 1.1 | even | 1 | trivial | |
403.2.bs.a.225.19 | yes | 288 | 13.4 | even | 6 | inner | |
403.2.bs.a.283.19 | yes | 288 | 31.4 | even | 5 | inner |