Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,2,Mod(11,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.l (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.574922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 7 x^{14} - 12 x^{13} + 16 x^{12} - 12 x^{11} - 8 x^{10} + 36 x^{9} - 68 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(0.608741 - 1.27649i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.11 |
Dual form | 72.2.l.b.59.1 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40985 | + | 0.111062i | −0.996912 | + | 0.0785324i | ||||
\(3\) | −1.71646 | − | 0.231865i | −0.990999 | − | 0.133867i | ||||
\(4\) | 1.97533 | − | 0.313160i | 0.987665 | − | 0.156580i | ||||
\(5\) | 1.74322 | + | 3.01934i | 0.779591 | + | 1.35029i | 0.932178 | + | 0.362001i | \(0.117906\pi\) |
−0.152587 | + | 0.988290i | \(0.548760\pi\) | |||||||
\(6\) | 2.44570 | + | 0.136260i | 0.998452 | + | 0.0556281i | ||||
\(7\) | 1.80802 | + | 1.04386i | 0.683367 | + | 0.394542i | 0.801122 | − | 0.598501i | \(-0.204237\pi\) |
−0.117756 | + | 0.993043i | \(0.537570\pi\) | |||||||
\(8\) | −2.75013 | + | 0.660890i | −0.972318 | + | 0.233660i | ||||
\(9\) | 2.89248 | + | 0.795973i | 0.964159 | + | 0.265324i | ||||
\(10\) | −2.79300 | − | 4.06320i | −0.883225 | − | 1.28490i | ||||
\(11\) | −0.116985 | − | 0.0675415i | −0.0352724 | − | 0.0203645i | 0.482260 | − | 0.876028i | \(-0.339816\pi\) |
−0.517533 | + | 0.855664i | \(0.673149\pi\) | |||||||
\(12\) | −3.46319 | + | 0.0795170i | −0.999737 | + | 0.0229546i | ||||
\(13\) | −2.63890 | + | 1.52357i | −0.731900 | + | 0.422563i | −0.819117 | − | 0.573627i | \(-0.805536\pi\) |
0.0872168 | + | 0.996189i | \(0.472203\pi\) | |||||||
\(14\) | −2.66496 | − | 1.27088i | −0.712241 | − | 0.339657i | ||||
\(15\) | −2.29209 | − | 5.58677i | −0.591814 | − | 1.44250i | ||||
\(16\) | 3.80386 | − | 1.23719i | 0.950966 | − | 0.309297i | ||||
\(17\) | − | 4.19800i | − | 1.01816i | −0.860718 | − | 0.509082i | \(-0.829985\pi\) | ||
0.860718 | − | 0.509082i | \(-0.170015\pi\) | |||||||
\(18\) | −4.16635 | − | 0.800956i | −0.982018 | − | 0.188787i | ||||
\(19\) | 0.919111 | 0.210858 | 0.105429 | − | 0.994427i | \(-0.466378\pi\) | ||||
0.105429 | + | 0.994427i | \(0.466378\pi\) | |||||||
\(20\) | 4.38897 | + | 5.41829i | 0.981403 | + | 1.21157i | ||||
\(21\) | −2.86136 | − | 2.21096i | −0.624400 | − | 0.482471i | ||||
\(22\) | 0.172432 | + | 0.0822305i | 0.0367627 | + | 0.0175316i | ||||
\(23\) | 0.689877 | + | 1.19490i | 0.143849 | + | 0.249154i | 0.928943 | − | 0.370223i | \(-0.120719\pi\) |
−0.785094 | + | 0.619377i | \(0.787385\pi\) | |||||||
\(24\) | 4.87373 | − | 0.496734i | 0.994846 | − | 0.101395i | ||||
\(25\) | −3.57762 | + | 6.19662i | −0.715524 | + | 1.23932i | ||||
\(26\) | 3.55124 | − | 2.44108i | 0.696455 | − | 0.478736i | ||||
\(27\) | −4.78027 | − | 2.03692i | −0.919963 | − | 0.392005i | ||||
\(28\) | 3.89833 | + | 1.49577i | 0.736715 | + | 0.282674i | ||||
\(29\) | 4.24111 | − | 7.34582i | 0.787555 | − | 1.36409i | −0.139906 | − | 0.990165i | \(-0.544680\pi\) |
0.927461 | − | 0.373921i | \(-0.121987\pi\) | |||||||
\(30\) | 3.85197 | + | 7.62193i | 0.703270 | + | 1.39157i | ||||
\(31\) | −4.39877 | + | 2.53963i | −0.790042 | + | 0.456131i | −0.839977 | − | 0.542621i | \(-0.817432\pi\) |
0.0499352 | + | 0.998752i | \(0.484099\pi\) | |||||||
\(32\) | −5.22546 | + | 2.16671i | −0.923739 | + | 0.383023i | ||||
\(33\) | 0.185140 | + | 0.143057i | 0.0322288 | + | 0.0249030i | ||||
\(34\) | 0.466236 | + | 5.91853i | 0.0799589 | + | 1.01502i | ||||
\(35\) | 7.27870i | 1.23033i | ||||||||
\(36\) | 5.96287 | + | 0.666503i | 0.993811 | + | 0.111084i | ||||
\(37\) | − | 1.61676i | − | 0.265794i | −0.991130 | − | 0.132897i | \(-0.957572\pi\) | ||
0.991130 | − | 0.132897i | \(-0.0424280\pi\) | |||||||
\(38\) | −1.29580 | + | 0.102078i | −0.210207 | + | 0.0165592i | ||||
\(39\) | 4.88284 | − | 2.00328i | 0.781880 | − | 0.320782i | ||||
\(40\) | −6.78953 | − | 7.15151i | −1.07352 | − | 1.13075i | ||||
\(41\) | 1.79408 | − | 1.03581i | 0.280188 | − | 0.161767i | −0.353320 | − | 0.935502i | \(-0.614947\pi\) |
0.633509 | + | 0.773736i | \(0.281614\pi\) | |||||||
\(42\) | 4.27963 | + | 2.79933i | 0.660361 | + | 0.431945i | ||||
\(43\) | 5.41106 | − | 9.37224i | 0.825180 | − | 1.42925i | −0.0766025 | − | 0.997062i | \(-0.524407\pi\) |
0.901782 | − | 0.432191i | \(-0.142259\pi\) | |||||||
\(44\) | −0.252236 | − | 0.0967817i | −0.0380260 | − | 0.0145904i | ||||
\(45\) | 2.63890 | + | 10.1209i | 0.393385 | + | 1.50874i | ||||
\(46\) | −1.10533 | − | 1.60801i | −0.162972 | − | 0.237088i | ||||
\(47\) | −0.205809 | + | 0.356471i | −0.0300203 | + | 0.0519966i | −0.880645 | − | 0.473776i | \(-0.842891\pi\) |
0.850625 | + | 0.525773i | \(0.176224\pi\) | |||||||
\(48\) | −6.81604 | + | 1.24160i | −0.983811 | + | 0.179210i | ||||
\(49\) | −1.32071 | − | 2.28754i | −0.188673 | − | 0.326791i | ||||
\(50\) | 4.35568 | − | 9.13361i | 0.615987 | − | 1.29169i | ||||
\(51\) | −0.973367 | + | 7.20570i | −0.136299 | + | 1.00900i | ||||
\(52\) | −4.73559 | + | 3.83596i | −0.656708 | + | 0.531951i | ||||
\(53\) | −0.968137 | −0.132984 | −0.0664919 | − | 0.997787i | \(-0.521181\pi\) | ||||
−0.0664919 | + | 0.997787i | \(0.521181\pi\) | |||||||
\(54\) | 6.96566 | + | 2.34084i | 0.947907 | + | 0.318548i | ||||
\(55\) | − | 0.470958i | − | 0.0635040i | ||||||
\(56\) | −5.66217 | − | 1.67585i | −0.756639 | − | 0.223945i | ||||
\(57\) | −1.57762 | − | 0.213109i | −0.208961 | − | 0.0282270i | ||||
\(58\) | −5.16348 | + | 10.8275i | −0.677998 | + | 1.42172i | ||||
\(59\) | 3.88770 | − | 2.24457i | 0.506136 | − | 0.292218i | −0.225108 | − | 0.974334i | \(-0.572274\pi\) |
0.731244 | + | 0.682116i | \(0.238940\pi\) | |||||||
\(60\) | −6.27718 | − | 10.3179i | −0.810381 | − | 1.33204i | ||||
\(61\) | −7.44553 | − | 4.29868i | −0.953303 | − | 0.550390i | −0.0591976 | − | 0.998246i | \(-0.518854\pi\) |
−0.894105 | + | 0.447857i | \(0.852188\pi\) | |||||||
\(62\) | 5.91953 | − | 4.06902i | 0.751781 | − | 0.516766i | ||||
\(63\) | 4.39877 | + | 4.45848i | 0.554193 | + | 0.561715i | ||||
\(64\) | 7.12645 | − | 3.63507i | 0.890806 | − | 0.454384i | ||||
\(65\) | −9.20037 | − | 5.31183i | −1.14117 | − | 0.658852i | ||||
\(66\) | −0.276907 | − | 0.181126i | −0.0340849 | − | 0.0222951i | ||||
\(67\) | 3.15416 | + | 5.46316i | 0.385342 | + | 0.667432i | 0.991817 | − | 0.127671i | \(-0.0407502\pi\) |
−0.606475 | + | 0.795103i | \(0.707417\pi\) | |||||||
\(68\) | −1.31464 | − | 8.29243i | −0.159424 | − | 1.00561i | ||||
\(69\) | −0.907092 | − | 2.21096i | −0.109201 | − | 0.266168i | ||||
\(70\) | −0.808385 | − | 10.2618i | −0.0966205 | − | 1.22653i | ||||
\(71\) | −11.9687 | −1.42042 | −0.710210 | − | 0.703990i | \(-0.751400\pi\) | ||||
−0.710210 | + | 0.703990i | \(0.751400\pi\) | |||||||
\(72\) | −8.48075 | − | 0.277421i | −0.999465 | − | 0.0326944i | ||||
\(73\) | −4.06264 | −0.475496 | −0.237748 | − | 0.971327i | \(-0.576409\pi\) | ||||
−0.237748 | + | 0.971327i | \(0.576409\pi\) | |||||||
\(74\) | 0.179560 | + | 2.27939i | 0.0208735 | + | 0.264973i | ||||
\(75\) | 7.57762 | − | 9.80673i | 0.874988 | − | 1.13238i | ||||
\(76\) | 1.81555 | − | 0.287828i | 0.208258 | − | 0.0330162i | ||||
\(77\) | −0.141008 | − | 0.244232i | −0.0160693 | − | 0.0278329i | ||||
\(78\) | −6.66156 | + | 3.36662i | −0.754273 | + | 0.381194i | ||||
\(79\) | 10.8672 | + | 6.27416i | 1.22265 | + | 0.705899i | 0.965483 | − | 0.260468i | \(-0.0838768\pi\) |
0.257170 | + | 0.966366i | \(0.417210\pi\) | |||||||
\(80\) | 10.3665 | + | 9.32847i | 1.15900 | + | 1.04296i | ||||
\(81\) | 7.73285 | + | 4.60467i | 0.859206 | + | 0.511630i | ||||
\(82\) | −2.41434 | + | 1.65959i | −0.266619 | + | 0.183271i | ||||
\(83\) | 5.23875 | + | 3.02459i | 0.575027 | + | 0.331992i | 0.759155 | − | 0.650910i | \(-0.225613\pi\) |
−0.184128 | + | 0.982902i | \(0.558946\pi\) | |||||||
\(84\) | −6.34452 | − | 3.47132i | −0.692243 | − | 0.378752i | ||||
\(85\) | 12.6752 | − | 7.31802i | 1.37482 | − | 0.793751i | ||||
\(86\) | −6.58787 | + | 13.8144i | −0.710388 | + | 1.48964i | ||||
\(87\) | −8.98294 | + | 11.6255i | −0.963073 | + | 1.24638i | ||||
\(88\) | 0.366362 | + | 0.108434i | 0.0390544 | + | 0.0115591i | ||||
\(89\) | 8.35848i | 0.885997i | 0.896522 | + | 0.442999i | \(0.146085\pi\) | ||||
−0.896522 | + | 0.442999i | \(0.853915\pi\) | |||||||
\(90\) | −4.84449 | − | 13.9759i | −0.510655 | − | 1.47319i | ||||
\(91\) | −6.36158 | −0.666875 | ||||||||
\(92\) | 1.73693 | + | 2.14428i | 0.181087 | + | 0.223557i | ||||
\(93\) | 8.13917 | − | 3.33926i | 0.843992 | − | 0.346265i | ||||
\(94\) | 0.250568 | − | 0.525426i | 0.0258441 | − | 0.0541936i | ||||
\(95\) | 1.60221 | + | 2.77511i | 0.164383 | + | 0.284720i | ||||
\(96\) | 9.47167 | − | 2.50747i | 0.966699 | − | 0.255918i | ||||
\(97\) | −0.477065 | + | 0.826300i | −0.0484386 | + | 0.0838981i | −0.889228 | − | 0.457464i | \(-0.848758\pi\) |
0.840790 | + | 0.541362i | \(0.182091\pi\) | |||||||
\(98\) | 2.11606 | + | 3.07840i | 0.213754 | + | 0.310965i | ||||
\(99\) | −0.284616 | − | 0.288479i | −0.0286050 | − | 0.0289933i | ||||
\(100\) | −5.12645 | + | 13.3607i | −0.512645 | + | 1.33607i | ||||
\(101\) | −5.35926 | + | 9.28250i | −0.533266 | + | 0.923644i | 0.465979 | + | 0.884796i | \(0.345702\pi\) |
−0.999245 | + | 0.0388479i | \(0.987631\pi\) | |||||||
\(102\) | 0.572021 | − | 10.2670i | 0.0566385 | − | 1.01659i | ||||
\(103\) | 7.46070 | − | 4.30743i | 0.735124 | − | 0.424424i | −0.0851696 | − | 0.996366i | \(-0.527143\pi\) |
0.820294 | + | 0.571942i | \(0.193810\pi\) | |||||||
\(104\) | 6.25042 | − | 5.93405i | 0.612904 | − | 0.581881i | ||||
\(105\) | 1.68767 | − | 12.4936i | 0.164700 | − | 1.21925i | ||||
\(106\) | 1.36492 | − | 0.107523i | 0.132573 | − | 0.0104435i | ||||
\(107\) | − | 4.80774i | − | 0.464781i | −0.972623 | − | 0.232391i | \(-0.925345\pi\) | ||
0.972623 | − | 0.232391i | \(-0.0746548\pi\) | |||||||
\(108\) | −10.0805 | − | 2.52660i | −0.969996 | − | 0.243123i | ||||
\(109\) | 7.16698i | 0.686472i | 0.939249 | + | 0.343236i | \(0.111523\pi\) | ||||
−0.939249 | + | 0.343236i | \(0.888477\pi\) | |||||||
\(110\) | 0.0523054 | + | 0.663978i | 0.00498712 | + | 0.0633078i | ||||
\(111\) | −0.374870 | + | 2.77511i | −0.0355811 | + | 0.263402i | ||||
\(112\) | 8.16891 | + | 1.73384i | 0.771889 | + | 0.163833i | ||||
\(113\) | −0.213928 | + | 0.123511i | −0.0201246 | + | 0.0116190i | −0.510029 | − | 0.860157i | \(-0.670365\pi\) |
0.489904 | + | 0.871776i | \(0.337032\pi\) | |||||||
\(114\) | 2.24787 | + | 0.125238i | 0.210532 | + | 0.0117296i | ||||
\(115\) | −2.40521 | + | 4.16595i | −0.224287 | + | 0.388477i | ||||
\(116\) | 6.07719 | − | 15.8386i | 0.564253 | − | 1.47058i | ||||
\(117\) | −8.84569 | + | 2.30640i | −0.817784 | + | 0.213227i | ||||
\(118\) | −5.23178 | + | 3.59627i | −0.481624 | + | 0.331063i | ||||
\(119\) | 4.38212 | − | 7.59006i | 0.401708 | − | 0.695779i | ||||
\(120\) | 9.99579 | + | 13.8495i | 0.912486 | + | 1.26428i | ||||
\(121\) | −5.49088 | − | 9.51048i | −0.499171 | − | 0.864589i | ||||
\(122\) | 10.9745 | + | 5.23356i | 0.993582 | + | 0.473825i | ||||
\(123\) | −3.31963 | + | 1.36195i | −0.299321 | + | 0.122803i | ||||
\(124\) | −7.89371 | + | 6.39413i | −0.708876 | + | 0.574210i | ||||
\(125\) | −7.51409 | −0.672081 | ||||||||
\(126\) | −6.69675 | − | 5.79723i | −0.596594 | − | 0.516458i | ||||
\(127\) | − | 17.6276i | − | 1.56420i | −0.623156 | − | 0.782098i | \(-0.714150\pi\) | ||
0.623156 | − | 0.782098i | \(-0.285850\pi\) | |||||||
\(128\) | −9.64348 | + | 5.91636i | −0.852371 | + | 0.522938i | ||||
\(129\) | −11.4610 | + | 14.8324i | −1.00908 | + | 1.30592i | ||||
\(130\) | 13.5610 | + | 6.46706i | 1.18938 | + | 0.567199i | ||||
\(131\) | −12.7802 | + | 7.37864i | −1.11661 | + | 0.644675i | −0.940533 | − | 0.339702i | \(-0.889674\pi\) |
−0.176076 | + | 0.984377i | \(0.556341\pi\) | |||||||
\(132\) | 0.410513 | + | 0.224607i | 0.0357305 | + | 0.0195495i | ||||
\(133\) | 1.66177 | + | 0.959423i | 0.144094 | + | 0.0831925i | ||||
\(134\) | −5.05362 | − | 7.35191i | −0.436567 | − | 0.635108i | ||||
\(135\) | −2.18289 | − | 17.9841i | −0.187873 | − | 1.54782i | ||||
\(136\) | 2.77442 | + | 11.5450i | 0.237904 | + | 0.989979i | ||||
\(137\) | 14.8589 | + | 8.57878i | 1.26948 | + | 0.732934i | 0.974889 | − | 0.222689i | \(-0.0714836\pi\) |
0.294590 | + | 0.955624i | \(0.404817\pi\) | |||||||
\(138\) | 1.52441 | + | 3.01637i | 0.129767 | + | 0.256771i | ||||
\(139\) | −0.607862 | − | 1.05285i | −0.0515581 | − | 0.0893013i | 0.839095 | − | 0.543986i | \(-0.183085\pi\) |
−0.890653 | + | 0.454684i | \(0.849752\pi\) | |||||||
\(140\) | 2.27940 | + | 14.3778i | 0.192644 | + | 1.21515i | ||||
\(141\) | 0.435915 | − | 0.564149i | 0.0367107 | − | 0.0475099i | ||||
\(142\) | 16.8740 | − | 1.32926i | 1.41603 | − | 0.111549i | ||||
\(143\) | 0.411617 | 0.0344211 | ||||||||
\(144\) | 11.9874 | − | 0.550765i | 0.998946 | − | 0.0458971i | ||||
\(145\) | 29.5727 | 2.45588 | ||||||||
\(146\) | 5.72770 | − | 0.451204i | 0.474028 | − | 0.0373419i | ||||
\(147\) | 1.73655 | + | 4.23270i | 0.143228 | + | 0.349107i | ||||
\(148\) | −0.506305 | − | 3.19364i | −0.0416180 | − | 0.262516i | ||||
\(149\) | −4.46357 | − | 7.73113i | −0.365670 | − | 0.633359i | 0.623214 | − | 0.782052i | \(-0.285827\pi\) |
−0.988883 | + | 0.148693i | \(0.952493\pi\) | |||||||
\(150\) | −9.59412 | + | 14.6676i | −0.783357 | + | 1.19760i | ||||
\(151\) | −18.9453 | − | 10.9381i | −1.54175 | − | 0.890127i | −0.998729 | − | 0.0504058i | \(-0.983949\pi\) |
−0.543017 | − | 0.839722i | \(-0.682718\pi\) | |||||||
\(152\) | −2.52768 | + | 0.607431i | −0.205022 | + | 0.0492692i | ||||
\(153\) | 3.34149 | − | 12.1426i | 0.270144 | − | 0.981672i | ||||
\(154\) | 0.225924 | + | 0.328670i | 0.0182055 | + | 0.0264850i | ||||
\(155\) | −15.3360 | − | 8.85426i | −1.23182 | − | 0.711191i | ||||
\(156\) | 9.01787 | − | 5.48625i | 0.722008 | − | 0.439252i | ||||
\(157\) | 4.85478 | − | 2.80291i | 0.387454 | − | 0.223697i | −0.293602 | − | 0.955928i | \(-0.594854\pi\) |
0.681056 | + | 0.732231i | \(0.261521\pi\) | |||||||
\(158\) | −16.0179 | − | 7.63868i | −1.27431 | − | 0.607701i | ||||
\(159\) | 1.66177 | + | 0.224477i | 0.131787 | + | 0.0178022i | ||||
\(160\) | −15.6511 | − | 12.0004i | −1.23733 | − | 0.948714i | ||||
\(161\) | 2.88054i | 0.227018i | ||||||||
\(162\) | −11.4135 | − | 5.63305i | −0.896732 | − | 0.442574i | ||||
\(163\) | −17.1763 | −1.34535 | −0.672676 | − | 0.739937i | \(-0.734855\pi\) | ||||
−0.672676 | + | 0.739937i | \(0.734855\pi\) | |||||||
\(164\) | 3.21952 | − | 2.60790i | 0.251403 | − | 0.203643i | ||||
\(165\) | −0.109199 | + | 0.808381i | −0.00850109 | + | 0.0629324i | ||||
\(166\) | −7.72174 | − | 3.68238i | −0.599323 | − | 0.285808i | ||||
\(167\) | 2.31249 | + | 4.00535i | 0.178946 | + | 0.309943i | 0.941520 | − | 0.336958i | \(-0.109398\pi\) |
−0.762574 | + | 0.646901i | \(0.776065\pi\) | |||||||
\(168\) | 9.33032 | + | 4.18939i | 0.719850 | + | 0.323218i | ||||
\(169\) | −1.85746 | + | 3.21721i | −0.142881 | + | 0.247478i | ||||
\(170\) | −17.0573 | + | 11.7250i | −1.30824 | + | 0.899267i | ||||
\(171\) | 2.65851 | + | 0.731587i | 0.203301 | + | 0.0559459i | ||||
\(172\) | 7.75363 | − | 20.2078i | 0.591209 | − | 1.54083i | ||||
\(173\) | −1.52076 | + | 2.63404i | −0.115621 | + | 0.200262i | −0.918028 | − | 0.396516i | \(-0.870219\pi\) |
0.802407 | + | 0.596778i | \(0.203553\pi\) | |||||||
\(174\) | 11.3734 | − | 17.3878i | 0.862217 | − | 1.31816i | ||||
\(175\) | −12.9368 | + | 7.46907i | −0.977930 | + | 0.564608i | ||||
\(176\) | −0.528557 | − | 0.112186i | −0.0398415 | − | 0.00845632i | ||||
\(177\) | −7.19353 | + | 2.95129i | −0.540699 | + | 0.221833i | ||||
\(178\) | −0.928307 | − | 11.7842i | −0.0695795 | − | 0.883261i | ||||
\(179\) | − | 17.9997i | − | 1.34536i | −0.739935 | − | 0.672679i | \(-0.765144\pi\) | ||
0.739935 | − | 0.672679i | \(-0.234856\pi\) | |||||||
\(180\) | 8.38217 | + | 19.1658i | 0.624770 | + | 1.42853i | ||||
\(181\) | 15.9507i | 1.18561i | 0.805347 | + | 0.592804i | \(0.201979\pi\) | ||||
−0.805347 | + | 0.592804i | \(0.798021\pi\) | |||||||
\(182\) | 8.96885 | − | 0.706528i | 0.664815 | − | 0.0523713i | ||||
\(183\) | 11.7833 | + | 9.10488i | 0.871044 | + | 0.673052i | ||||
\(184\) | −2.68695 | − | 2.83020i | −0.198085 | − | 0.208645i | ||||
\(185\) | 4.88156 | − | 2.81837i | 0.358899 | − | 0.207211i | ||||
\(186\) | −11.1041 | + | 5.61179i | −0.814193 | + | 0.411476i | ||||
\(187\) | −0.283539 | + | 0.491104i | −0.0207344 | + | 0.0359131i | ||||
\(188\) | −0.294908 | + | 0.768599i | −0.0215084 | + | 0.0560558i | ||||
\(189\) | −6.51655 | − | 8.67272i | −0.474010 | − | 0.630848i | ||||
\(190\) | −2.56708 | − | 3.73453i | −0.186235 | − | 0.270931i | ||||
\(191\) | 2.21964 | − | 3.84452i | 0.160607 | − | 0.278180i | −0.774479 | − | 0.632599i | \(-0.781988\pi\) |
0.935087 | + | 0.354419i | \(0.115321\pi\) | |||||||
\(192\) | −13.0751 | + | 4.58709i | −0.943615 | + | 0.331044i | ||||
\(193\) | 0.673862 | + | 1.16716i | 0.0485057 | + | 0.0840143i | 0.889259 | − | 0.457404i | \(-0.151221\pi\) |
−0.840753 | + | 0.541419i | \(0.817887\pi\) | |||||||
\(194\) | 0.580817 | − | 1.21794i | 0.0417003 | − | 0.0874430i | ||||
\(195\) | 14.5604 | + | 11.2508i | 1.04270 | + | 0.805686i | ||||
\(196\) | −3.32521 | − | 4.10505i | −0.237515 | − | 0.293218i | ||||
\(197\) | 9.16835 | 0.653218 | 0.326609 | − | 0.945160i | \(-0.394094\pi\) | ||||
0.326609 | + | 0.945160i | \(0.394094\pi\) | |||||||
\(198\) | 0.433304 | + | 0.375101i | 0.0307936 | + | 0.0266573i | ||||
\(199\) | 24.0240i | 1.70301i | 0.524344 | + | 0.851507i | \(0.324311\pi\) | ||||
−0.524344 | + | 0.851507i | \(0.675689\pi\) | |||||||
\(200\) | 5.74364 | − | 19.4059i | 0.406136 | − | 1.37221i | ||||
\(201\) | −4.14728 | − | 10.1086i | −0.292526 | − | 0.713009i | ||||
\(202\) | 6.52479 | − | 13.6821i | 0.459083 | − | 0.962670i | ||||
\(203\) | 15.3360 | − | 8.85426i | 1.07638 | − | 0.621447i | ||||
\(204\) | 0.333812 | + | 14.5385i | 0.0233715 | + | 1.01790i | ||||
\(205\) | 6.25494 | + | 3.61129i | 0.436864 | + | 0.252224i | ||||
\(206\) | −10.0400 | + | 6.90142i | −0.699523 | + | 0.480844i | ||||
\(207\) | 1.04434 | + | 4.00535i | 0.0725869 | + | 0.278391i | ||||
\(208\) | −8.15308 | + | 9.06028i | −0.565314 | + | 0.628217i | ||||
\(209\) | −0.107522 | − | 0.0620781i | −0.00743748 | − | 0.00429403i | ||||
\(210\) | −0.991799 | + | 17.8015i | −0.0684406 | + | 1.22842i | ||||
\(211\) | 10.1275 | + | 17.5414i | 0.697208 | + | 1.20760i | 0.969431 | + | 0.245365i | \(0.0789078\pi\) |
−0.272223 | + | 0.962234i | \(0.587759\pi\) | |||||||
\(212\) | −1.91239 | + | 0.303181i | −0.131344 | + | 0.0208226i | ||||
\(213\) | 20.5437 | + | 2.77511i | 1.40763 | + | 0.190147i | ||||
\(214\) | 0.533955 | + | 6.77817i | 0.0365004 | + | 0.463346i | ||||
\(215\) | 37.7307 | 2.57321 | ||||||||
\(216\) | 14.4925 | + | 2.44257i | 0.986093 | + | 0.166196i | ||||
\(217\) | −10.6041 | −0.719852 | ||||||||
\(218\) | −0.795977 | − | 10.1043i | −0.0539104 | − | 0.684352i | ||||
\(219\) | 6.97337 | + | 0.941983i | 0.471216 | + | 0.0636533i | ||||
\(220\) | −0.147485 | − | 0.930298i | −0.00994344 | − | 0.0627207i | ||||
\(221\) | 6.39595 | + | 11.0781i | 0.430238 | + | 0.745194i | ||||
\(222\) | 0.220301 | − | 3.95411i | 0.0147856 | − | 0.265383i | ||||
\(223\) | 0.521119 | + | 0.300868i | 0.0348967 | + | 0.0201476i | 0.517347 | − | 0.855776i | \(-0.326920\pi\) |
−0.482450 | + | 0.875923i | \(0.660253\pi\) | |||||||
\(224\) | −11.7095 | − | 1.53720i | −0.782371 | − | 0.102708i | ||||
\(225\) | −15.2805 | + | 15.0759i | −1.01870 | + | 1.00506i | ||||
\(226\) | 0.287888 | − | 0.197891i | 0.0191500 | − | 0.0131635i | ||||
\(227\) | 9.23720 | + | 5.33310i | 0.613095 | + | 0.353970i | 0.774176 | − | 0.632971i | \(-0.218165\pi\) |
−0.161081 | + | 0.986941i | \(0.551498\pi\) | |||||||
\(228\) | −3.18305 | + | 0.0730850i | −0.210803 | + | 0.00484017i | ||||
\(229\) | −22.1574 | + | 12.7926i | −1.46420 | + | 0.845356i | −0.999201 | − | 0.0399555i | \(-0.987278\pi\) |
−0.464998 | + | 0.885312i | \(0.653945\pi\) | |||||||
\(230\) | 2.92830 | − | 6.14047i | 0.193086 | − | 0.404891i | ||||
\(231\) | 0.185405 | + | 0.451910i | 0.0121988 | + | 0.0297335i | ||||
\(232\) | −6.80884 | + | 23.0049i | −0.447022 | + | 1.51035i | ||||
\(233\) | 4.71086i | 0.308619i | 0.988023 | + | 0.154309i | \(0.0493152\pi\) | ||||
−0.988023 | + | 0.154309i | \(0.950685\pi\) | |||||||
\(234\) | 12.2149 | − | 4.23409i | 0.798514 | − | 0.276791i | ||||
\(235\) | −1.43508 | −0.0936141 | ||||||||
\(236\) | 6.97659 | − | 5.65123i | 0.454137 | − | 0.367864i | ||||
\(237\) | −17.1983 | − | 13.2891i | −1.11715 | − | 0.863218i | ||||
\(238\) | −5.33515 | + | 11.1875i | −0.345827 | + | 0.725178i | ||||
\(239\) | −7.51034 | − | 13.0083i | −0.485803 | − | 0.841436i | 0.514064 | − | 0.857752i | \(-0.328139\pi\) |
−0.999867 | + | 0.0163162i | \(0.994806\pi\) | |||||||
\(240\) | −15.6307 | − | 18.4156i | −1.00896 | − | 1.18872i | ||||
\(241\) | 12.8731 | − | 22.2969i | 0.829230 | − | 1.43627i | −0.0694129 | − | 0.997588i | \(-0.522113\pi\) |
0.898643 | − | 0.438681i | \(-0.144554\pi\) | |||||||
\(242\) | 8.79754 | + | 12.7985i | 0.565527 | + | 0.822717i | ||||
\(243\) | −12.2055 | − | 9.69671i | −0.782982 | − | 0.622044i | ||||
\(244\) | −16.0536 | − | 6.15968i | −1.02772 | − | 0.394333i | ||||
\(245\) | 4.60458 | − | 7.97536i | 0.294176 | − | 0.509527i | ||||
\(246\) | 4.52891 | − | 2.28882i | 0.288753 | − | 0.145930i | ||||
\(247\) | −2.42544 | + | 1.40033i | −0.154327 | + | 0.0891009i | ||||
\(248\) | 10.4188 | − | 9.89142i | 0.661593 | − | 0.628106i | ||||
\(249\) | −8.29081 | − | 6.40627i | −0.525409 | − | 0.405981i | ||||
\(250\) | 10.5937 | − | 0.834527i | 0.670005 | − | 0.0527801i | ||||
\(251\) | 5.30436i | 0.334808i | 0.985888 | + | 0.167404i | \(0.0535385\pi\) | ||||
−0.985888 | + | 0.167404i | \(0.946462\pi\) | |||||||
\(252\) | 10.0852 | + | 7.42945i | 0.635310 | + | 0.468011i | ||||
\(253\) | − | 0.186381i | − | 0.0117177i | ||||||
\(254\) | 1.95775 | + | 24.8522i | 0.122840 | + | 1.55936i | ||||
\(255\) | −23.4533 | + | 9.62217i | −1.46870 | + | 0.602564i | ||||
\(256\) | 12.9387 | − | 9.41218i | 0.808671 | − | 0.588261i | ||||
\(257\) | −21.4984 | + | 12.4121i | −1.34104 | + | 0.774248i | −0.986959 | − | 0.160969i | \(-0.948538\pi\) |
−0.354077 | + | 0.935216i | \(0.615205\pi\) | |||||||
\(258\) | 14.5109 | − | 22.1843i | 0.903408 | − | 1.38114i | ||||
\(259\) | 1.68767 | − | 2.92314i | 0.104867 | − | 0.181635i | ||||
\(260\) | −19.8372 | − | 7.61145i | −1.23025 | − | 0.472042i | ||||
\(261\) | 18.1144 | − | 17.8718i | 1.12125 | − | 1.10624i | ||||
\(262\) | 17.1986 | − | 11.8221i | 1.06253 | − | 0.730374i | ||||
\(263\) | −9.95859 | + | 17.2488i | −0.614073 | + | 1.06361i | 0.376473 | + | 0.926427i | \(0.377137\pi\) |
−0.990546 | + | 0.137178i | \(0.956197\pi\) | |||||||
\(264\) | −0.603705 | − | 0.271068i | −0.0371555 | − | 0.0166831i | ||||
\(265\) | −1.68767 | − | 2.92314i | −0.103673 | − | 0.179567i | ||||
\(266\) | −2.44939 | − | 1.16808i | −0.150182 | − | 0.0716196i | ||||
\(267\) | 1.93804 | − | 14.3470i | 0.118606 | − | 0.878023i | ||||
\(268\) | 7.94135 | + | 9.80380i | 0.485095 | + | 0.598862i | ||||
\(269\) | 2.35540 | 0.143611 | 0.0718057 | − | 0.997419i | \(-0.477124\pi\) | ||||
0.0718057 | + | 0.997419i | \(0.477124\pi\) | |||||||
\(270\) | 5.07488 | + | 25.1123i | 0.308847 | + | 1.52829i | ||||
\(271\) | − | 12.0774i | − | 0.733648i | −0.930290 | − | 0.366824i | \(-0.880445\pi\) | ||
0.930290 | − | 0.366824i | \(-0.119555\pi\) | |||||||
\(272\) | −5.19371 | − | 15.9686i | −0.314915 | − | 0.968239i | ||||
\(273\) | 10.9194 | + | 1.47503i | 0.660873 | + | 0.0892726i | ||||
\(274\) | −21.9015 | − | 10.4445i | −1.32312 | − | 0.630975i | ||||
\(275\) | 0.837057 | − | 0.483275i | 0.0504764 | − | 0.0291426i | ||||
\(276\) | −2.48419 | − | 4.08331i | −0.149531 | − | 0.245787i | ||||
\(277\) | −14.5504 | − | 8.40069i | −0.874250 | − | 0.504748i | −0.00549164 | − | 0.999985i | \(-0.501748\pi\) |
−0.868758 | + | 0.495237i | \(0.835081\pi\) | |||||||
\(278\) | 0.973922 | + | 1.41684i | 0.0584120 | + | 0.0849765i | ||||
\(279\) | −14.7448 | + | 3.84452i | −0.882749 | + | 0.230166i | ||||
\(280\) | −4.81042 | − | 20.0174i | −0.287478 | − | 1.19627i | ||||
\(281\) | 11.9853 | + | 6.91973i | 0.714984 | + | 0.412796i | 0.812904 | − | 0.582398i | \(-0.197885\pi\) |
−0.0979194 | + | 0.995194i | \(0.531219\pi\) | |||||||
\(282\) | −0.551918 | + | 0.843776i | −0.0328662 | + | 0.0502461i | ||||
\(283\) | 2.58123 | + | 4.47082i | 0.153438 | + | 0.265763i | 0.932489 | − | 0.361198i | \(-0.117632\pi\) |
−0.779051 | + | 0.626960i | \(0.784299\pi\) | |||||||
\(284\) | −23.6421 | + | 3.74810i | −1.40290 | + | 0.222409i | ||||
\(285\) | −2.10668 | − | 5.13486i | −0.124789 | − | 0.304163i | ||||
\(286\) | −0.580317 | + | 0.0457149i | −0.0343148 | + | 0.00270318i | ||||
\(287\) | 4.32497 | 0.255295 | ||||||||
\(288\) | −16.8392 | + | 2.10783i | −0.992257 | + | 0.124205i | ||||
\(289\) | −0.623177 | −0.0366574 | ||||||||
\(290\) | −41.6930 | + | 3.28440i | −2.44830 | + | 0.192866i | ||||
\(291\) | 1.01045 | − | 1.30770i | 0.0592338 | − | 0.0766586i | ||||
\(292\) | −8.02506 | + | 1.27226i | −0.469631 | + | 0.0744531i | ||||
\(293\) | −5.41881 | − | 9.38566i | −0.316571 | − | 0.548316i | 0.663200 | − | 0.748443i | \(-0.269198\pi\) |
−0.979770 | + | 0.200126i | \(0.935865\pi\) | |||||||
\(294\) | −2.91836 | − | 5.77459i | −0.170202 | − | 0.336781i | ||||
\(295\) | 13.5542 | + | 7.82554i | 0.789158 | + | 0.455620i | ||||
\(296\) | 1.06850 | + | 4.44631i | 0.0621054 | + | 0.258436i | ||||
\(297\) | 0.421644 | + | 0.561156i | 0.0244663 | + | 0.0325616i | ||||
\(298\) | 7.15158 | + | 10.4040i | 0.414280 | + | 0.602686i | ||||
\(299\) | −3.64104 | − | 2.10215i | −0.210567 | − | 0.121571i | ||||
\(300\) | 11.8972 | − | 21.7445i | 0.686887 | − | 1.25542i | ||||
\(301\) | 19.5666 | − | 11.2968i | 1.12780 | − | 0.651136i | ||||
\(302\) | 27.9247 | + | 13.3169i | 1.60689 | + | 0.766301i | ||||
\(303\) | 11.3512 | − | 14.6904i | 0.652112 | − | 0.843943i | ||||
\(304\) | 3.49617 | − | 1.13711i | 0.200519 | − | 0.0652179i | ||||
\(305\) | − | 29.9742i | − | 1.71632i | ||||||
\(306\) | −3.36241 | + | 17.4903i | −0.192216 | + | 0.999855i | ||||
\(307\) | 16.6551 | 0.950557 | 0.475279 | − | 0.879835i | \(-0.342347\pi\) | ||||
0.475279 | + | 0.879835i | \(0.342347\pi\) | |||||||
\(308\) | −0.355021 | − | 0.438282i | −0.0202292 | − | 0.0249734i | ||||
\(309\) | −13.8047 | + | 5.66367i | −0.785324 | + | 0.322195i | ||||
\(310\) | 22.6048 | + | 10.7799i | 1.28387 | + | 0.612257i | ||||
\(311\) | −6.47216 | − | 11.2101i | −0.367002 | − | 0.635667i | 0.622093 | − | 0.782943i | \(-0.286283\pi\) |
−0.989095 | + | 0.147277i | \(0.952949\pi\) | |||||||
\(312\) | −12.1045 | + | 8.73631i | −0.685282 | + | 0.494596i | ||||
\(313\) | −13.3593 | + | 23.1390i | −0.755112 | + | 1.30789i | 0.190206 | + | 0.981744i | \(0.439084\pi\) |
−0.945318 | + | 0.326149i | \(0.894249\pi\) | |||||||
\(314\) | −6.53320 | + | 4.49085i | −0.368690 | + | 0.253433i | ||||
\(315\) | −5.79365 | + | 21.0535i | −0.326435 | + | 1.18623i | ||||
\(316\) | 23.4311 | + | 8.99039i | 1.31810 | + | 0.505749i | ||||
\(317\) | −12.5342 | + | 21.7098i | −0.703990 | + | 1.21935i | 0.263065 | + | 0.964778i | \(0.415267\pi\) |
−0.967055 | + | 0.254568i | \(0.918067\pi\) | |||||||
\(318\) | −2.36777 | − | 0.131919i | −0.132778 | − | 0.00739763i | ||||
\(319\) | −0.992296 | + | 0.572902i | −0.0555579 | + | 0.0320764i | ||||
\(320\) | 23.3985 | + | 15.1805i | 1.30801 | + | 0.848614i | ||||
\(321\) | −1.11474 | + | 8.25229i | −0.0622189 | + | 0.460598i | ||||
\(322\) | −0.319918 | − | 4.06112i | −0.0178283 | − | 0.226317i | ||||
\(323\) | − | 3.85842i | − | 0.214688i | ||||||
\(324\) | 16.7169 | + | 6.67413i | 0.928719 | + | 0.370785i | ||||
\(325\) | − | 21.8030i | − | 1.20941i | ||||||
\(326\) | 24.2160 | − | 1.90763i | 1.34120 | − | 0.105654i | ||||
\(327\) | 1.66177 | − | 12.3018i | 0.0918961 | − | 0.680294i | ||||
\(328\) | −4.24940 | + | 4.03431i | −0.234634 | + | 0.222757i | ||||
\(329\) | −0.744211 | + | 0.429671i | −0.0410297 | + | 0.0236885i | ||||
\(330\) | 0.0641729 | − | 1.15182i | 0.00353260 | − | 0.0634056i | ||||
\(331\) | −8.47956 | + | 14.6870i | −0.466079 | + | 0.807272i | −0.999249 | − | 0.0387357i | \(-0.987667\pi\) |
0.533171 | + | 0.846008i | \(0.321000\pi\) | |||||||
\(332\) | 11.2954 | + | 4.33400i | 0.619917 | + | 0.237859i | ||||
\(333\) | 1.28690 | − | 4.67645i | 0.0705217 | − | 0.256268i | ||||
\(334\) | −3.70510 | − | 5.39010i | −0.202734 | − | 0.294933i | ||||
\(335\) | −10.9968 | + | 19.0470i | −0.600818 | + | 1.04065i | ||||
\(336\) | −13.6196 | − | 4.87015i | −0.743010 | − | 0.265689i | ||||
\(337\) | 4.47220 | + | 7.74608i | 0.243616 | + | 0.421956i | 0.961742 | − | 0.273958i | \(-0.0883329\pi\) |
−0.718125 | + | 0.695914i | \(0.755000\pi\) | |||||||
\(338\) | 2.26142 | − | 4.74207i | 0.123005 | − | 0.257934i | ||||
\(339\) | 0.395836 | − | 0.162400i | 0.0214989 | − | 0.00882035i | ||||
\(340\) | 22.7460 | − | 18.4249i | 1.23357 | − | 0.999229i | ||||
\(341\) | 0.686122 | 0.0371556 | ||||||||
\(342\) | −3.82934 | − | 0.736167i | −0.207067 | − | 0.0398074i | ||||
\(343\) | − | 20.1286i | − | 1.08684i | ||||||
\(344\) | −8.68712 | + | 29.3510i | −0.468378 | + | 1.58250i | ||||
\(345\) | 5.09439 | − | 6.59301i | 0.274273 | − | 0.354956i | ||||
\(346\) | 1.85150 | − | 3.88248i | 0.0995372 | − | 0.208724i | ||||
\(347\) | −4.29330 | + | 2.47874i | −0.230476 | + | 0.133066i | −0.610792 | − | 0.791791i | \(-0.709149\pi\) |
0.380315 | + | 0.924857i | \(0.375815\pi\) | |||||||
\(348\) | −14.1037 | + | 25.7772i | −0.756036 | + | 1.38180i | ||||
\(349\) | 22.9731 | + | 13.2635i | 1.22972 | + | 0.709980i | 0.966972 | − | 0.254884i | \(-0.0820374\pi\) |
0.262749 | + | 0.964864i | \(0.415371\pi\) | |||||||
\(350\) | 17.4094 | − | 11.9670i | 0.930570 | − | 0.639664i | ||||
\(351\) | 15.7181 | − | 1.90784i | 0.838968 | − | 0.101833i | ||||
\(352\) | 0.757644 | + | 0.0994621i | 0.0403825 | + | 0.00530135i | ||||
\(353\) | −28.7458 | − | 16.5964i | −1.52998 | − | 0.883337i | −0.999362 | − | 0.0357291i | \(-0.988625\pi\) |
−0.530623 | − | 0.847608i | \(-0.678042\pi\) | |||||||
\(354\) | 9.81399 | − | 4.95979i | 0.521608 | − | 0.263610i | ||||
\(355\) | −20.8640 | − | 36.1375i | −1.10735 | − | 1.91798i | ||||
\(356\) | 2.61754 | + | 16.5108i | 0.138729 | + | 0.875069i | ||||
\(357\) | −9.28161 | + | 12.0120i | −0.491235 | + | 0.635741i | ||||
\(358\) | 1.99907 | + | 25.3767i | 0.105654 | + | 1.34120i | ||||
\(359\) | −20.6138 | −1.08795 | −0.543977 | − | 0.839100i | \(-0.683082\pi\) | ||||
−0.543977 | + | 0.839100i | \(0.683082\pi\) | |||||||
\(360\) | −13.9462 | − | 26.0899i | −0.735027 | − | 1.37506i | ||||
\(361\) | −18.1552 | −0.955539 | ||||||||
\(362\) | −1.77151 | − | 22.4881i | −0.0931087 | − | 1.18195i | ||||
\(363\) | 7.21973 | + | 17.5975i | 0.378938 | + | 0.923629i | ||||
\(364\) | −12.5662 | + | 1.99219i | −0.658649 | + | 0.104419i | ||||
\(365\) | −7.08207 | − | 12.2665i | −0.370693 | − | 0.642058i | ||||
\(366\) | −17.6238 | − | 11.5278i | −0.921210 | − | 0.602568i | ||||
\(367\) | 10.1478 | + | 5.85881i | 0.529708 | + | 0.305827i | 0.740898 | − | 0.671618i | \(-0.234400\pi\) |
−0.211189 | + | 0.977445i | \(0.567734\pi\) | |||||||
\(368\) | 4.10251 | + | 3.69174i | 0.213858 | + | 0.192445i | ||||
\(369\) | 6.01381 | − | 1.56802i | 0.313067 | − | 0.0816281i | ||||
\(370\) | −6.56923 | + | 4.51562i | −0.341518 | + | 0.234756i | ||||
\(371\) | −1.75041 | − | 1.01060i | −0.0908767 | − | 0.0524677i | ||||
\(372\) | 15.0318 | − | 9.14500i | 0.779364 | − | 0.474146i | ||||
\(373\) | −3.02771 | + | 1.74805i | −0.156769 | + | 0.0905105i | −0.576332 | − | 0.817216i | \(-0.695517\pi\) |
0.419563 | + | 0.907726i | \(0.362183\pi\) | |||||||
\(374\) | 0.345203 | − | 0.723871i | 0.0178500 | − | 0.0374305i | ||||
\(375\) | 12.8976 | + | 1.74225i | 0.666031 | + | 0.0899695i | ||||
\(376\) | 0.330412 | − | 1.11636i | 0.0170397 | − | 0.0575718i | ||||
\(377\) | 25.8466i | 1.33117i | ||||||||
\(378\) | 10.1505 | + | 11.5035i | 0.522088 | + | 0.591674i | ||||
\(379\) | 20.1604 | 1.03557 | 0.517785 | − | 0.855511i | \(-0.326757\pi\) | ||||
0.517785 | + | 0.855511i | \(0.326757\pi\) | |||||||
\(380\) | 4.03395 | + | 4.98001i | 0.206937 | + | 0.255469i | ||||
\(381\) | −4.08721 | + | 30.2571i | −0.209394 | + | 1.55012i | ||||
\(382\) | −2.70237 | + | 5.66670i | −0.138265 | + | 0.289934i | ||||
\(383\) | 5.33120 | + | 9.23391i | 0.272412 | + | 0.471831i | 0.969479 | − | 0.245175i | \(-0.0788454\pi\) |
−0.697067 | + | 0.717006i | \(0.745512\pi\) | |||||||
\(384\) | 17.9244 | − | 7.91923i | 0.914703 | − | 0.404126i | ||||
\(385\) | 0.491614 | − | 0.851501i | 0.0250550 | − | 0.0433965i | ||||
\(386\) | −1.07967 | − | 1.57068i | −0.0549537 | − | 0.0799455i | ||||
\(387\) | 23.1114 | − | 22.8019i | 1.17482 | − | 1.15909i | ||||
\(388\) | −0.683597 | + | 1.78161i | −0.0347044 | + | 0.0904477i | ||||
\(389\) | 8.34122 | − | 14.4474i | 0.422917 | − | 0.732513i | −0.573307 | − | 0.819341i | \(-0.694340\pi\) |
0.996223 | + | 0.0868277i | \(0.0276730\pi\) | |||||||
\(390\) | −21.7775 | − | 14.2448i | −1.10275 | − | 0.721313i | ||||
\(391\) | 5.01619 | − | 2.89610i | 0.253680 | − | 0.146462i | ||||
\(392\) | 5.14394 | + | 5.41819i | 0.259808 | + | 0.273660i | ||||
\(393\) | 23.6475 | − | 9.70188i | 1.19286 | − | 0.489395i | ||||
\(394\) | −12.9260 | + | 1.01825i | −0.651200 | + | 0.0512988i | ||||
\(395\) | 43.7489i | 2.20125i | ||||||||
\(396\) | −0.652551 | − | 0.480712i | −0.0327919 | − | 0.0241567i | ||||
\(397\) | − | 22.9869i | − | 1.15368i | −0.816857 | − | 0.576840i | \(-0.804285\pi\) | ||
0.816857 | − | 0.576840i | \(-0.195715\pi\) | |||||||
\(398\) | −2.66814 | − | 33.8701i | −0.133742 | − | 1.69775i | ||||
\(399\) | −2.62991 | − | 2.03212i | −0.131660 | − | 0.101733i | ||||
\(400\) | −5.94239 | + | 27.9973i | −0.297119 | + | 1.39986i | ||||
\(401\) | 27.3094 | − | 15.7671i | 1.36377 | − | 0.787371i | 0.373644 | − | 0.927572i | \(-0.378108\pi\) |
0.990123 | + | 0.140201i | \(0.0447747\pi\) | |||||||
\(402\) | 6.96970 | + | 13.7910i | 0.347617 | + | 0.687834i | ||||
\(403\) | 7.73862 | − | 13.4037i | 0.385488 | − | 0.667685i | ||||
\(404\) | −7.67940 | + | 20.0143i | −0.382064 | + | 0.995749i | ||||
\(405\) | −0.423023 | + | 31.3751i | −0.0210202 | + | 1.55904i | ||||
\(406\) | −20.6381 | + | 14.1864i | −1.02425 | + | 0.704058i | ||||
\(407\) | −0.109199 | + | 0.189137i | −0.00541277 | + | 0.00937519i | ||||
\(408\) | −2.08529 | − | 20.4599i | −0.103237 | − | 1.01292i | ||||
\(409\) | 3.59259 | + | 6.22255i | 0.177642 | + | 0.307686i | 0.941073 | − | 0.338205i | \(-0.109820\pi\) |
−0.763430 | + | 0.645890i | \(0.776486\pi\) | |||||||
\(410\) | −9.21958 | − | 4.39668i | −0.455323 | − | 0.217137i | ||||
\(411\) | −23.5156 | − | 18.1704i | −1.15994 | − | 0.896279i | ||||
\(412\) | 13.3884 | − | 10.8450i | 0.659600 | − | 0.534295i | ||||
\(413\) | 9.37205 | 0.461169 | ||||||||
\(414\) | −1.91720 | − | 5.53094i | −0.0942255 | − | 0.271831i | ||||
\(415\) | 21.0901i | 1.03527i | ||||||||
\(416\) | 10.4883 | − | 13.6791i | 0.514233 | − | 0.670672i | ||||
\(417\) | 0.799253 | + | 1.94811i | 0.0391396 | + | 0.0953995i | ||||
\(418\) | 0.158485 | + | 0.0755789i | 0.00775173 | + | 0.00369669i | ||||
\(419\) | −12.5999 | + | 7.27453i | −0.615543 | + | 0.355384i | −0.775132 | − | 0.631800i | \(-0.782317\pi\) |
0.159589 | + | 0.987184i | \(0.448983\pi\) | |||||||
\(420\) | −0.578781 | − | 25.2075i | −0.0282416 | − | 1.23000i | ||||
\(421\) | 9.38587 | + | 5.41893i | 0.457439 | + | 0.264103i | 0.710967 | − | 0.703225i | \(-0.248258\pi\) |
−0.253528 | + | 0.967328i | \(0.581591\pi\) | |||||||
\(422\) | −16.2264 | − | 23.6059i | −0.789890 | − | 1.14912i | ||||
\(423\) | −0.879038 | + | 0.867266i | −0.0427403 | + | 0.0421679i | ||||
\(424\) | 2.66250 | − | 0.639832i | 0.129303 | − | 0.0310730i | ||||
\(425\) | 26.0134 | + | 15.0188i | 1.26183 | + | 0.728520i | ||||
\(426\) | −29.2717 | − | 1.63085i | −1.41822 | − | 0.0790152i | ||||
\(427\) | −8.97444 | − | 15.5442i | −0.434304 | − | 0.752236i | ||||
\(428\) | −1.50559 | − | 9.49687i | −0.0727754 | − | 0.459048i | ||||
\(429\) | −0.706525 | − | 0.0954394i | −0.0341113 | − | 0.00460786i | ||||
\(430\) | −53.1944 | + | 4.19043i | −2.56526 | + | 0.202080i | ||||
\(431\) | −10.8604 | −0.523129 | −0.261565 | − | 0.965186i | \(-0.584238\pi\) | ||||
−0.261565 | + | 0.965186i | \(0.584238\pi\) | |||||||
\(432\) | −20.7035 | − | 1.83408i | −0.996099 | − | 0.0882421i | ||||
\(433\) | 9.41382 | 0.452399 | 0.226200 | − | 0.974081i | \(-0.427370\pi\) | ||||
0.226200 | + | 0.974081i | \(0.427370\pi\) | |||||||
\(434\) | 14.9501 | − | 1.17771i | 0.717628 | − | 0.0565317i | ||||
\(435\) | −50.7605 | − | 6.85687i | −2.43378 | − | 0.328762i | ||||
\(436\) | 2.24441 | + | 14.1572i | 0.107488 | + | 0.678005i | ||||
\(437\) | 0.634073 | + | 1.09825i | 0.0303318 | + | 0.0525363i | ||||
\(438\) | −9.93599 | − | 0.553577i | −0.474760 | − | 0.0264509i | ||||
\(439\) | −9.25745 | − | 5.34479i | −0.441834 | − | 0.255093i | 0.262541 | − | 0.964921i | \(-0.415439\pi\) |
−0.704375 | + | 0.709828i | \(0.748773\pi\) | |||||||
\(440\) | 0.311252 | + | 1.29520i | 0.0148383 | + | 0.0617461i | ||||
\(441\) | −1.99931 | − | 7.66791i | −0.0952052 | − | 0.365139i | ||||
\(442\) | −10.2477 | − | 14.9081i | −0.487431 | − | 0.709105i | ||||
\(443\) | 18.9818 | + | 10.9592i | 0.901854 | + | 0.520686i | 0.877801 | − | 0.479025i | \(-0.159010\pi\) |
0.0240526 | + | 0.999711i | \(0.492343\pi\) | |||||||
\(444\) | 0.128560 | + | 5.59915i | 0.00610119 | + | 0.265724i | ||||
\(445\) | −25.2371 | + | 14.5707i | −1.19635 | + | 0.690715i | ||||
\(446\) | −0.768113 | − | 0.366302i | −0.0363712 | − | 0.0173449i | ||||
\(447\) | 5.86897 | + | 14.3051i | 0.277593 | + | 0.676609i | ||||
\(448\) | 16.6793 | + | 0.866739i | 0.788021 | + | 0.0409496i | ||||
\(449\) | − | 18.7436i | − | 0.884565i | −0.896876 | − | 0.442282i | \(-0.854169\pi\) | ||
0.896876 | − | 0.442282i | \(-0.145831\pi\) | |||||||
\(450\) | 19.8688 | − | 22.9518i | 0.936625 | − | 1.08196i | ||||
\(451\) | −0.279841 | −0.0131772 | ||||||||
\(452\) | −0.383899 | + | 0.310969i | −0.0180571 | + | 0.0146267i | ||||
\(453\) | 29.9827 | + | 23.1675i | 1.40871 | + | 1.08850i | ||||
\(454\) | −13.6153 | − | 6.49295i | −0.638999 | − | 0.304729i | ||||
\(455\) | −11.0896 | − | 19.2078i | −0.519890 | − | 0.900475i | ||||
\(456\) | 4.47950 | − | 0.456554i | 0.209772 | − | 0.0213801i | ||||
\(457\) | −0.00912370 | + | 0.0158027i | −0.000426789 | + | 0.000739220i | −0.866239 | − | 0.499630i | \(-0.833469\pi\) |
0.865812 | + | 0.500370i | \(0.166803\pi\) | |||||||
\(458\) | 29.8177 | − | 20.4964i | 1.39329 | − | 0.957732i | ||||
\(459\) | −8.55098 | + | 20.0675i | −0.399126 | + | 0.936673i | ||||
\(460\) | −3.44648 | + | 8.98234i | −0.160693 | + | 0.418804i | ||||
\(461\) | −1.25915 | + | 2.18091i | −0.0586444 | + | 0.101575i | −0.893857 | − | 0.448352i | \(-0.852011\pi\) |
0.835213 | + | 0.549927i | \(0.185344\pi\) | |||||||
\(462\) | −0.311583 | − | 0.616532i | −0.0144961 | − | 0.0286837i | ||||
\(463\) | 23.9003 | − | 13.7988i | 1.11074 | − | 0.641286i | 0.171719 | − | 0.985146i | \(-0.445068\pi\) |
0.939021 | + | 0.343860i | \(0.111735\pi\) | |||||||
\(464\) | 7.04445 | − | 33.1896i | 0.327030 | − | 1.54079i | ||||
\(465\) | 24.2707 | + | 18.7539i | 1.12553 | + | 0.869690i | ||||
\(466\) | −0.523196 | − | 6.64159i | −0.0242366 | − | 0.307666i | ||||
\(467\) | − | 28.4629i | − | 1.31711i | −0.752533 | − | 0.658554i | \(-0.771168\pi\) | ||
0.752533 | − | 0.658554i | \(-0.228832\pi\) | |||||||
\(468\) | −16.7509 | + | 7.32602i | −0.774310 | + | 0.338645i | ||||
\(469\) | 13.1700i | 0.608134i | ||||||||
\(470\) | 2.02324 | − | 0.159382i | 0.0933250 | − | 0.00735174i | ||||
\(471\) | −8.98294 | + | 3.68543i | −0.413912 | + | 0.169816i | ||||
\(472\) | −9.20828 | + | 8.74220i | −0.423846 | + | 0.402392i | ||||
\(473\) | −1.26603 | + | 0.730942i | −0.0582121 | + | 0.0336088i | ||||
\(474\) | 25.7229 | + | 16.8255i | 1.18149 | + | 0.772819i | ||||
\(475\) | −3.28823 | + | 5.69538i | −0.150874 | + | 0.261322i | ||||
\(476\) | 6.27924 | − | 16.3652i | 0.287808 | − | 0.750097i | ||||
\(477\) | −2.80031 | − | 0.770611i | −0.128218 | − | 0.0352839i | ||||
\(478\) | 12.0331 | + | 17.5056i | 0.550383 | + | 0.800686i | ||||
\(479\) | 19.1602 | − | 33.1865i | 0.875454 | − | 1.51633i | 0.0191747 | − | 0.999816i | \(-0.493896\pi\) |
0.856279 | − | 0.516514i | \(-0.172771\pi\) | |||||||
\(480\) | 24.0821 | + | 24.2272i | 1.09919 | + | 1.10581i | ||||
\(481\) | 2.46325 | + | 4.26648i | 0.112315 | + | 0.194535i | ||||
\(482\) | −15.6728 | + | 32.8649i | −0.713875 | + | 1.49695i | ||||
\(483\) | 0.667895 | − | 4.94434i | 0.0303903 | − | 0.224975i | ||||
\(484\) | −13.8246 | − | 17.0668i | −0.628391 | − | 0.775764i | ||||
\(485\) | −3.32651 | −0.151049 | ||||||||
\(486\) | 18.2848 | + | 12.3153i | 0.829415 | + | 0.558634i | ||||
\(487\) | 2.25659i | 0.102256i | 0.998692 | + | 0.0511280i | \(0.0162817\pi\) | ||||
−0.998692 | + | 0.0511280i | \(0.983718\pi\) | |||||||
\(488\) | 23.3172 | + | 6.90126i | 1.05552 | + | 0.312405i | ||||
\(489\) | 29.4825 | + | 3.98258i | 1.33324 | + | 0.180098i | ||||
\(490\) | −5.60599 | + | 11.7554i | −0.253253 | + | 0.531056i | ||||
\(491\) | −17.7659 | + | 10.2572i | −0.801765 | + | 0.462899i | −0.844088 | − | 0.536205i | \(-0.819858\pi\) |
0.0423228 | + | 0.999104i | \(0.486524\pi\) | |||||||
\(492\) | −6.13087 | + | 3.72987i | −0.276401 | + | 0.168156i | ||||
\(493\) | −30.8377 | − | 17.8042i | −1.38886 | − | 0.801860i | ||||
\(494\) | 3.26398 | − | 2.24362i | 0.146853 | − | 0.100945i | ||||
\(495\) | 0.374870 | − | 1.36224i | 0.0168492 | − | 0.0612279i | ||||
\(496\) | −13.5903 | + | 15.1025i | −0.610223 | + | 0.678123i | ||||
\(497\) | −21.6396 | − | 12.4936i | −0.970667 | − | 0.560415i | ||||
\(498\) | 12.4003 | + | 8.11107i | 0.555669 | + | 0.363466i | ||||
\(499\) | 1.87815 | + | 3.25306i | 0.0840777 | + | 0.145627i | 0.904998 | − | 0.425416i | \(-0.139872\pi\) |
−0.820920 | + | 0.571043i | \(0.806539\pi\) | |||||||
\(500\) | −14.8428 | + | 2.35311i | −0.663791 | + | 0.105234i | ||||
\(501\) | −3.04060 | − | 7.41121i | −0.135844 | − | 0.331109i | ||||
\(502\) | −0.589111 | − | 7.47833i | −0.0262933 | − | 0.333774i | ||||
\(503\) | −33.3322 | −1.48621 | −0.743104 | − | 0.669175i | \(-0.766647\pi\) | ||||
−0.743104 | + | 0.669175i | \(0.766647\pi\) | |||||||
\(504\) | −15.0438 | − | 9.35429i | −0.670102 | − | 0.416673i | ||||
\(505\) | −37.3694 | −1.66292 | ||||||||
\(506\) | 0.0206998 | + | 0.262769i | 0.000920219 | + | 0.0116815i | ||||
\(507\) | 3.93421 | − | 5.09154i | 0.174725 | − | 0.226123i | ||||
\(508\) | −5.52025 | − | 34.8203i | −0.244921 | − | 1.54490i | ||||
\(509\) | 3.41788 | + | 5.91994i | 0.151495 | + | 0.262397i | 0.931777 | − | 0.363031i | \(-0.118258\pi\) |
−0.780282 | + | 0.625427i | \(0.784925\pi\) | |||||||
\(510\) | 31.9968 | − | 16.1705i | 1.41684 | − | 0.716044i | ||||
\(511\) | −7.34533 | − | 4.24083i | −0.324938 | − | 0.187603i | ||||
\(512\) | −17.1963 | + | 14.7067i | −0.759976 | + | 0.649951i | ||||
\(513\) | −4.39359 | − | 1.87216i | −0.193982 | − | 0.0826577i | ||||
\(514\) | 28.9310 | − | 19.8868i | 1.27609 | − | 0.877171i | ||||
\(515\) | 26.0112 | + | 15.0176i | 1.14619 | + | 0.661754i | ||||
\(516\) | −17.9943 | + | 32.8881i | −0.792154 | + | 1.44782i | ||||
\(517\) | 0.0481531 | − | 0.0278012i | 0.00211777 | − | 0.00122270i | ||||
\(518\) | −2.05471 | + | 4.30861i | −0.0902788 | + | 0.189309i | ||||
\(519\) | 3.22107 | − | 4.16861i | 0.141389 | − | 0.182982i | ||||
\(520\) | 28.8128 | + | 8.52781i | 1.26352 | + | 0.373969i | ||||
\(521\) | − | 19.9468i | − | 0.873887i | −0.899489 | − | 0.436943i | \(-0.856061\pi\) | ||
0.899489 | − | 0.436943i | \(-0.143939\pi\) | |||||||
\(522\) | −23.5536 | + | 27.2083i | −1.03092 | + | 1.19088i | ||||
\(523\) | −5.50358 | −0.240655 | −0.120327 | − | 0.992734i | \(-0.538394\pi\) | ||||
−0.120327 | + | 0.992734i | \(0.538394\pi\) | |||||||
\(524\) | −22.9344 | + | 18.5775i | −1.00189 | + | 0.811561i | ||||
\(525\) | 23.9373 | − | 9.82077i | 1.04471 | − | 0.428614i | ||||
\(526\) | 12.1244 | − | 25.4241i | 0.528649 | − | 1.10855i | ||||
\(527\) | 10.6614 | + | 18.4660i | 0.464416 | + | 0.804392i | ||||
\(528\) | 0.881236 | + | 0.315116i | 0.0383509 | + | 0.0137137i | ||||
\(529\) | 10.5481 | − | 18.2699i | 0.458615 | − | 0.794344i | ||||
\(530\) | 2.70401 | + | 3.93374i | 0.117455 | + | 0.170871i | ||||
\(531\) | 13.0317 | − | 3.39785i | 0.565528 | − | 0.147454i | ||||
\(532\) | 3.58300 | + | 1.37478i | 0.155343 | + | 0.0596042i | ||||
\(533\) | −3.15627 | + | 5.46682i | −0.136713 | + | 0.236794i | ||||
\(534\) | −1.13893 | + | 20.4423i | −0.0492863 | + | 0.884625i | ||||
\(535\) | 14.5162 | − | 8.38093i | 0.627590 | − | 0.362339i | ||||
\(536\) | −12.2849 | − | 12.9399i | −0.530627 | − | 0.558917i | ||||
\(537\) | −4.17348 | + | 30.8957i | −0.180099 | + | 1.33325i | ||||
\(538\) | −3.32075 | + | 0.261595i | −0.143168 | + | 0.0112782i | ||||
\(539\) | 0.356811i | 0.0153690i | ||||||||
\(540\) | −9.94381 | − | 34.8409i | −0.427913 | − | 1.49931i | ||||
\(541\) | − | 12.1375i | − | 0.521831i | −0.965362 | − | 0.260915i | \(-0.915976\pi\) | ||
0.965362 | − | 0.260915i | \(-0.0840243\pi\) | |||||||
\(542\) | 1.34133 | + | 17.0272i | 0.0576152 | + | 0.731382i | ||||
\(543\) | 3.69841 | − | 27.3788i | 0.158714 | − | 1.17494i | ||||
\(544\) | 9.09583 | + | 21.9364i | 0.389980 | + | 0.940517i | ||||
\(545\) | −21.6396 | + | 12.4936i | −0.926937 | + | 0.535167i | ||||
\(546\) | −15.5585 | − | 0.866832i | −0.665842 | − | 0.0370970i | ||||
\(547\) | 5.02439 | − | 8.70250i | 0.214827 | − | 0.372092i | −0.738392 | − | 0.674372i | \(-0.764414\pi\) |
0.953219 | + | 0.302280i | \(0.0977477\pi\) | |||||||
\(548\) | 32.0377 | + | 12.2927i | 1.36858 | + | 0.525119i | ||||
\(549\) | −18.1144 | − | 18.3603i | −0.773104 | − | 0.783598i | ||||
\(550\) | −1.12645 | + | 0.774308i | −0.0480319 | + | 0.0330166i | ||||
\(551\) | 3.89805 | − | 6.75163i | 0.166063 | − | 0.287629i | ||||
\(552\) | 3.95582 | + | 5.48095i | 0.168371 | + | 0.233285i | ||||
\(553\) | 13.0987 | + | 22.6876i | 0.557013 | + | 0.964775i | ||||
\(554\) | 21.4468 | + | 10.2277i | 0.911189 | + | 0.434533i | ||||
\(555\) | −9.03249 | + | 3.70576i | −0.383408 | + | 0.157301i | ||||
\(556\) | −1.53044 | − | 1.88936i | −0.0649050 | − | 0.0801269i | ||||
\(557\) | 15.4323 | 0.653887 | 0.326944 | − | 0.945044i | \(-0.393981\pi\) | ||||
0.326944 | + | 0.945044i | \(0.393981\pi\) | |||||||
\(558\) | 20.3609 | − | 7.05777i | 0.861947 | − | 0.298779i | ||||
\(559\) | 32.9766i | 1.39476i | ||||||||
\(560\) | 9.00512 | + | 27.6872i | 0.380536 | + | 1.17000i | ||||
\(561\) | 0.600553 | − | 0.777218i | 0.0253554 | − | 0.0328142i | ||||
\(562\) | −17.6660 | − | 8.42464i | −0.745194 | − | 0.355372i | ||||
\(563\) | 5.08901 | − | 2.93814i | 0.214476 | − | 0.123828i | −0.388914 | − | 0.921274i | \(-0.627150\pi\) |
0.603390 | + | 0.797446i | \(0.293816\pi\) | |||||||
\(564\) | 0.684408 | − | 1.25089i | 0.0288188 | − | 0.0526720i | ||||
\(565\) | −0.745845 | − | 0.430614i | −0.0313779 | − | 0.0181161i | ||||
\(566\) | −4.13567 | − | 6.01649i | −0.173835 | − | 0.252892i | ||||
\(567\) | 9.17451 | + | 16.3973i | 0.385293 | + | 0.688624i | ||||
\(568\) | 32.9154 | − | 7.90997i | 1.38110 | − | 0.331895i | ||||
\(569\) | −28.3228 | − | 16.3522i | −1.18735 | − | 0.685519i | −0.229650 | − | 0.973273i | \(-0.573758\pi\) |
−0.957704 | + | 0.287754i | \(0.907091\pi\) | |||||||
\(570\) | 3.54038 | + | 7.00539i | 0.148290 | + | 0.293424i | ||||
\(571\) | 16.4253 | + | 28.4495i | 0.687377 | + | 1.19057i | 0.972683 | + | 0.232136i | \(0.0745715\pi\) |
−0.285306 | + | 0.958437i | \(0.592095\pi\) | |||||||
\(572\) | 0.813080 | − | 0.128902i | 0.0339966 | − | 0.00538966i | ||||
\(573\) | −4.70133 | + | 6.08432i | −0.196401 | + | 0.254176i | ||||
\(574\) | −6.09754 | + | 0.480338i | −0.254507 | + | 0.0200489i | ||||
\(575\) | −9.87246 | −0.411710 | ||||||||
\(576\) | 23.5065 | − | 4.84190i | 0.979438 | − | 0.201746i | ||||
\(577\) | −16.7158 | −0.695887 | −0.347943 | − | 0.937516i | \(-0.613120\pi\) | ||||
−0.347943 | + | 0.937516i | \(0.613120\pi\) | |||||||
\(578\) | 0.878583 | − | 0.0692110i | 0.0365442 | − | 0.00287880i | ||||
\(579\) | −0.886034 | − | 2.15964i | −0.0368223 | − | 0.0897514i | ||||
\(580\) | 58.4159 | − | 9.26099i | 2.42559 | − | 0.384542i | ||||
\(581\) | 6.31450 | + | 10.9370i | 0.261970 | + | 0.453745i | ||||
\(582\) | −1.27935 | + | 1.95588i | −0.0530307 | + | 0.0810736i | ||||
\(583\) | 0.113258 | + | 0.0653894i | 0.00469066 | + | 0.00270815i | ||||
\(584\) | 11.1728 | − | 2.68496i | 0.462334 | − | 0.111104i | ||||
\(585\) | −22.3838 | − | 22.6876i | −0.925455 | − | 0.938017i | ||||
\(586\) | 8.68208 | + | 12.6305i | 0.358653 | + | 0.521762i | ||||
\(587\) | −23.7005 | − | 13.6835i | −0.978222 | − | 0.564777i | −0.0764895 | − | 0.997070i | \(-0.524371\pi\) |
−0.901733 | + | 0.432293i | \(0.857704\pi\) | |||||||
\(588\) | 4.75577 | + | 7.81716i | 0.196125 | + | 0.322374i | ||||
\(589\) | −4.04296 | + | 2.33420i | −0.166587 | + | 0.0961791i | ||||
\(590\) | −19.9785 | − | 9.52744i | −0.822501 | − | 0.392239i | ||||
\(591\) | −15.7371 | − | 2.12582i | −0.647338 | − | 0.0874444i | ||||
\(592\) | −2.00024 | − | 6.14994i | −0.0822093 | − | 0.252761i | ||||
\(593\) | 25.6865i | 1.05482i | 0.849612 | + | 0.527408i | \(0.176836\pi\) | ||||
−0.849612 | + | 0.527408i | \(0.823164\pi\) | |||||||
\(594\) | −0.656776 | − | 0.744315i | −0.0269479 | − | 0.0305396i | ||||
\(595\) | 30.5560 | 1.25267 | ||||||||
\(596\) | −11.2381 | − | 13.8737i | −0.460331 | − | 0.568290i | ||||
\(597\) | 5.57031 | − | 41.2362i | 0.227977 | − | 1.68768i | ||||
\(598\) | 5.36677 | + | 2.55933i | 0.219464 | + | 0.104659i | ||||
\(599\) | 19.9859 | + | 34.6166i | 0.816601 | + | 1.41439i | 0.908173 | + | 0.418596i | \(0.137478\pi\) |
−0.0915718 | + | 0.995798i | \(0.529189\pi\) | |||||||
\(600\) | −14.3583 | + | 31.9778i | −0.586174 | + | 1.30549i | ||||
\(601\) | 2.01867 | − | 3.49645i | 0.0823434 | − | 0.142623i | −0.821913 | − | 0.569613i | \(-0.807093\pi\) |
0.904256 | + | 0.426991i | \(0.140426\pi\) | |||||||
\(602\) | −26.3313 | + | 18.0998i | −1.07318 | + | 0.737694i | ||||
\(603\) | 4.77480 | + | 18.3127i | 0.194445 | + | 0.745751i | ||||
\(604\) | −40.8486 | − | 15.6734i | −1.66210 | − | 0.637742i | ||||
\(605\) | 19.1436 | − | 33.1577i | 0.778298 | − | 1.34805i | ||||
\(606\) | −14.3720 | + | 21.9719i | −0.583821 | + | 0.892549i | ||||
\(607\) | −11.2251 | + | 6.48081i | −0.455612 | + | 0.263048i | −0.710198 | − | 0.704002i | \(-0.751394\pi\) |
0.254585 | + | 0.967050i | \(0.418061\pi\) | |||||||
\(608\) | −4.80277 | + | 1.99144i | −0.194778 | + | 0.0807637i | ||||
\(609\) | −28.3767 | + | 11.6421i | −1.14988 | + | 0.471762i | ||||
\(610\) | 3.32898 | + | 42.2589i | 0.134786 | + | 1.71101i | ||||
\(611\) | − | 1.25426i | − | 0.0507418i | ||||||
\(612\) | 2.79798 | − | 25.0321i | 0.113102 | − | 1.01186i | ||||
\(613\) | − | 22.0890i | − | 0.892167i | −0.894991 | − | 0.446084i | \(-0.852818\pi\) | ||
0.894991 | − | 0.446084i | \(-0.147182\pi\) | |||||||
\(614\) | −23.4811 | + | 1.84974i | −0.947622 | + | 0.0746496i | ||||
\(615\) | −9.89903 | − | 7.64894i | −0.399168 | − | 0.308435i | ||||
\(616\) | 0.549201 | + | 0.578481i | 0.0221279 | + | 0.0233077i | ||||
\(617\) | 20.0171 | − | 11.5569i | 0.805859 | − | 0.465263i | −0.0396569 | − | 0.999213i | \(-0.512626\pi\) |
0.845516 | + | 0.533951i | \(0.179293\pi\) | |||||||
\(618\) | 18.8335 | − | 9.51808i | 0.757596 | − | 0.382873i | ||||
\(619\) | −2.24675 | + | 3.89149i | −0.0903046 | + | 0.156412i | −0.907639 | − | 0.419751i | \(-0.862117\pi\) |
0.817335 | + | 0.576163i | \(0.195451\pi\) | |||||||
\(620\) | −33.0665 | − | 12.6875i | −1.32798 | − | 0.509541i | ||||
\(621\) | −0.863876 | − | 7.11718i | −0.0346662 | − | 0.285602i | ||||
\(622\) | 10.3698 | + | 15.0857i | 0.415789 | + | 0.604882i | ||||
\(623\) | −8.72509 | + | 15.1123i | −0.349563 | + | 0.605461i | ||||
\(624\) | 16.0952 | − | 13.6612i | 0.644324 | − | 0.546886i | ||||
\(625\) | 4.78939 | + | 8.29547i | 0.191576 | + | 0.331819i | ||||
\(626\) | 16.2647 | − | 34.1061i | 0.650068 | − | 1.36315i | ||||
\(627\) | 0.170164 | + | 0.131485i | 0.00679571 | + | 0.00525102i | ||||
\(628\) | 8.71204 | − | 7.05700i | 0.347648 | − | 0.281605i | ||||
\(629\) | −6.78716 | −0.270622 | ||||||||
\(630\) | 5.82992 | − | 30.3256i | 0.232270 | − | 1.20820i | ||||
\(631\) | 30.8693i | 1.22889i | 0.788961 | + | 0.614443i | \(0.210619\pi\) | ||||
−0.788961 | + | 0.614443i | \(0.789381\pi\) | |||||||
\(632\) | −34.0327 | − | 10.0728i | −1.35375 | − | 0.400673i | ||||
\(633\) | −13.3163 | − | 32.4573i | −0.529274 | − | 1.29006i | ||||
\(634\) | 15.2601 | − | 31.9996i | 0.606057 | − | 1.27087i | ||||
\(635\) | 53.2237 | − | 30.7287i | 2.11212 | − | 1.21943i | ||||
\(636\) | 3.35284 | − | 0.0769834i | 0.132949 | − | 0.00305259i | ||||
\(637\) | 6.97046 | + | 4.02440i | 0.276180 | + | 0.159452i | ||||
\(638\) | 1.33536 | − | 0.917910i | 0.0528673 | − | 0.0363404i | ||||
\(639\) | −34.6191 | − | 9.52674i | −1.36951 | − | 0.376872i | ||||
\(640\) | −34.6742 | − | 18.8034i | −1.37062 | − | 0.743271i | ||||
\(641\) | 23.7137 | + | 13.6911i | 0.936633 | + | 0.540766i | 0.888903 | − | 0.458095i | \(-0.151468\pi\) |
0.0477300 | + | 0.998860i | \(0.484801\pi\) | |||||||
\(642\) | 0.655104 | − | 11.7583i | 0.0258549 | − | 0.464062i | ||||
\(643\) | −19.9857 | − | 34.6162i | −0.788158 | − | 1.36513i | −0.927094 | − | 0.374828i | \(-0.877702\pi\) |
0.138937 | − | 0.990301i | \(-0.455631\pi\) | |||||||
\(644\) | 0.902069 | + | 5.69002i | 0.0355465 | + | 0.224218i | ||||
\(645\) | −64.7632 | − | 8.74840i | −2.55005 | − | 0.344468i | ||||
\(646\) | 0.428523 | + | 5.43978i | 0.0168600 | + | 0.214025i | ||||
\(647\) | 30.9768 | 1.21782 | 0.608912 | − | 0.793238i | \(-0.291606\pi\) | ||||
0.608912 | + | 0.793238i | \(0.291606\pi\) | |||||||
\(648\) | −24.3095 | − | 7.55288i | −0.954969 | − | 0.296705i | ||||
\(649\) | −0.606405 | −0.0238035 | ||||||||
\(650\) | 2.42148 | + | 30.7389i | 0.0949783 | + | 1.20568i | ||||
\(651\) | 18.2015 | + | 2.45871i | 0.713372 | + | 0.0963644i | ||||
\(652\) | −33.9289 | + | 5.37893i | −1.32876 | + | 0.210655i | ||||
\(653\) | −2.78891 | − | 4.83053i | −0.109138 | − | 0.189033i | 0.806283 | − | 0.591530i | \(-0.201476\pi\) |
−0.915421 | + | 0.402497i | \(0.868143\pi\) | |||||||
\(654\) | −0.976575 | + | 17.5283i | −0.0381871 | + | 0.685409i | ||||
\(655\) | −44.5573 | − | 25.7252i | −1.74100 | − | 1.00517i | ||||
\(656\) | 5.54294 | − | 6.15970i | 0.216415 | − | 0.240496i | ||||
\(657\) | −11.7511 | − | 3.23375i | −0.458454 | − | 0.126161i | ||||
\(658\) | 1.00150 | − | 0.688423i | 0.0390427 | − | 0.0268375i | ||||
\(659\) | −5.69959 | − | 3.29066i | −0.222025 | − | 0.128186i | 0.384863 | − | 0.922974i | \(-0.374249\pi\) |
−0.606887 | + | 0.794788i | \(0.707582\pi\) | |||||||
\(660\) | 0.0374492 | + | 1.63102i | 0.00145771 | + | 0.0634872i | ||||
\(661\) | 26.9562 | − | 15.5632i | 1.04847 | − | 0.605337i | 0.126253 | − | 0.991998i | \(-0.459705\pi\) |
0.922222 | + | 0.386661i | \(0.126372\pi\) | |||||||
\(662\) | 10.3237 | − | 21.6482i | 0.401242 | − | 0.841381i | ||||
\(663\) | −8.40978 | − | 20.4981i | −0.326609 | − | 0.796082i | ||||
\(664\) | −16.4062 | − | 4.85579i | −0.636683 | − | 0.188441i | ||||
\(665\) | 6.68993i | 0.259425i | ||||||||
\(666\) | −1.29496 | + | 6.73600i | −0.0501785 | + | 0.261015i | ||||
\(667\) | 11.7034 | 0.453157 | ||||||||
\(668\) | 5.82225 | + | 7.18771i | 0.225270 | + | 0.278101i | ||||
\(669\) | −0.824720 | − | 0.637258i | −0.0318855 | − | 0.0246378i | ||||
\(670\) | 13.3884 | − | 28.0746i | 0.517238 | − | 1.08462i | ||||
\(671\) | 0.580679 | + | 1.00576i | 0.0224168 | + | 0.0388271i | ||||
\(672\) | 19.7424 | + | 5.35355i | 0.761580 | + | 0.206518i | ||||
\(673\) | −3.54087 | + | 6.13297i | −0.136491 | + | 0.236409i | −0.926166 | − | 0.377116i | \(-0.876916\pi\) |
0.789675 | + | 0.613525i | \(0.210249\pi\) | |||||||
\(674\) | −7.16541 | − | 10.4241i | −0.276001 | − | 0.401521i | ||||
\(675\) | 29.7240 | − | 22.3342i | 1.14408 | − | 0.859642i | ||||
\(676\) | −2.66159 | + | 6.93674i | −0.102369 | + | 0.266798i | ||||
\(677\) | −3.18253 | + | 5.51231i | −0.122315 | + | 0.211855i | −0.920680 | − | 0.390318i | \(-0.872365\pi\) |
0.798365 | + | 0.602173i | \(0.205698\pi\) | |||||||
\(678\) | −0.540032 | + | 0.272921i | −0.0207398 | + | 0.0104815i | ||||
\(679\) | −1.72508 | + | 0.995978i | −0.0662026 | + | 0.0382221i | ||||
\(680\) | −30.0220 | + | 28.5024i | −1.15129 | + | 1.09302i | ||||
\(681\) | −14.6187 | − | 11.2958i | −0.560191 | − | 0.432858i | ||||
\(682\) | −0.967326 | + | 0.0762018i | −0.0370408 | + | 0.00291792i | ||||
\(683\) | 51.9104i | 1.98630i | 0.116864 | + | 0.993148i | \(0.462716\pi\) | ||||
−0.116864 | + | 0.993148i | \(0.537284\pi\) | |||||||
\(684\) | 5.48053 | + | 0.612590i | 0.209553 | + | 0.0234230i | ||||
\(685\) | 59.8187i | 2.28556i | ||||||||
\(686\) | 2.23552 | + | 28.3782i | 0.0853524 | + | 1.08349i | ||||
\(687\) | 40.9984 | − | 16.8204i | 1.56419 | − | 0.641739i | ||||
\(688\) | 8.98773 | − | 42.3452i | 0.342654 | − | 1.61440i | ||||
\(689\) | 2.55482 | − | 1.47503i | 0.0973309 | − | 0.0561940i | ||||
\(690\) | −6.45007 | + | 9.86091i | −0.245550 | + | 0.375399i | ||||
\(691\) | −17.9150 | + | 31.0297i | −0.681519 | + | 1.18043i | 0.292998 | + | 0.956113i | \(0.405347\pi\) |
−0.974517 | + | 0.224313i | \(0.927986\pi\) | |||||||
\(692\) | −2.17913 | + | 5.67933i | −0.0828382 | + | 0.215896i | ||||
\(693\) | −0.213459 | − | 0.818675i | −0.00810864 | − | 0.0310989i | ||||
\(694\) | 5.77760 | − | 3.97146i | 0.219315 | − | 0.150755i | ||||
\(695\) | 2.11927 | − | 3.67068i | 0.0803885 | − | 0.139237i | ||||
\(696\) | 17.0211 | − | 37.9083i | 0.645184 | − | 1.43691i | ||||
\(697\) | −4.34834 | − | 7.53154i | −0.164705 | − | 0.285277i | ||||
\(698\) | −33.8616 | − | 16.1481i | −1.28168 | − | 0.611214i | ||||
\(699\) | 1.09228 | − | 8.08601i | 0.0413139 | − | 0.305841i | ||||
\(700\) | −23.2154 | + | 18.8052i | −0.877461 | + | 0.710768i | ||||
\(701\) | −19.0081 | −0.717927 | −0.358964 | − | 0.933352i | \(-0.616870\pi\) | ||||
−0.358964 | + | 0.933352i | \(0.616870\pi\) | |||||||
\(702\) | −21.9482 | + | 4.43544i | −0.828380 | + | 0.167405i | ||||
\(703\) | − | 1.48598i | − | 0.0560449i | ||||||
\(704\) | −1.07921 | − | 0.0560811i | −0.0406742 | − | 0.00211364i | ||||
\(705\) | 2.46325 | + | 0.332743i | 0.0927715 | + | 0.0125318i | ||||
\(706\) | 42.3704 | + | 20.2058i | 1.59463 | + | 0.760455i | ||||
\(707\) | −19.3793 | + | 11.1886i | −0.728832 | + | 0.420792i | ||||
\(708\) | −13.2854 | + | 8.08250i | −0.499295 | + | 0.303759i | ||||
\(709\) | 38.5758 | + | 22.2717i | 1.44874 | + | 0.836433i | 0.998407 | − | 0.0564260i | \(-0.0179705\pi\) |
0.450337 | + | 0.892859i | \(0.351304\pi\) | |||||||
\(710\) | 33.4285 | + | 48.6311i | 1.25455 | + | 1.82509i | ||||
\(711\) | 26.4390 | + | 26.7979i | 0.991539 | + | 1.00500i | ||||
\(712\) | −5.52404 | − | 22.9869i | −0.207022 | − | 0.861472i | ||||
\(713\) | −6.06922 | − | 3.50407i | −0.227294 | − | 0.131228i | ||||
\(714\) | 11.7516 | − | 17.9659i | 0.439791 | − | 0.672356i | ||||
\(715\) | 0.717538 | + | 1.24281i | 0.0268344 | + | 0.0464786i | ||||
\(716\) | −5.63676 | − | 35.5553i | −0.210656 | − | 1.32876i | ||||
\(717\) | 9.87504 | + | 24.0696i | 0.368790 | + | 0.898895i | ||||
\(718\) | 29.0623 | − | 2.28940i | 1.08459 | − | 0.0854397i | ||||
\(719\) | 40.5385 | 1.51183 | 0.755915 | − | 0.654670i | \(-0.227192\pi\) | ||||
0.755915 | + | 0.654670i | \(0.227192\pi\) | |||||||
\(720\) | 22.5595 | + | 35.2338i | 0.840744 | + | 1.31309i | ||||
\(721\) | 17.9854 | 0.669813 | ||||||||
\(722\) | 25.5961 | − | 2.01635i | 0.952588 | − | 0.0750408i | ||||
\(723\) | −27.2661 | + | 35.2869i | −1.01404 | + | 1.31233i | ||||
\(724\) | 4.99512 | + | 31.5080i | 0.185642 | + | 1.17098i | ||||
\(725\) | 30.3462 | + | 52.5611i | 1.12703 | + | 1.95207i | ||||
\(726\) | −12.1331 | − | 24.0079i | −0.450302 | − | 0.891018i | ||||
\(727\) | 16.5719 | + | 9.56779i | 0.614618 | + | 0.354850i | 0.774770 | − | 0.632243i | \(-0.217865\pi\) |
−0.160153 | + | 0.987092i | \(0.551199\pi\) | |||||||
\(728\) | 17.4952 | − | 4.20431i | 0.648415 | − | 0.155822i | ||||
\(729\) | 18.7019 | + | 19.4740i | 0.692663 | + | 0.721261i | ||||
\(730\) | 11.3470 | + | 16.5073i | 0.419970 | + | 0.610964i | ||||
\(731\) | −39.3446 | − | 22.7156i | −1.45521 | − | 0.840168i | ||||
\(732\) | 26.1271 | + | 14.2951i | 0.965686 | + | 0.528362i | ||||
\(733\) | −25.4597 | + | 14.6992i | −0.940377 | + | 0.542927i | −0.890078 | − | 0.455807i | \(-0.849351\pi\) |
−0.0502985 | + | 0.998734i | \(0.516017\pi\) | |||||||
\(734\) | −14.9575 | − | 7.13299i | −0.552090 | − | 0.263283i | ||||
\(735\) | −9.75278 | + | 12.6218i | −0.359737 | + | 0.465561i | ||||
\(736\) | −6.19392 | − | 4.74915i | −0.228311 | − | 0.175056i | ||||
\(737\) | − | 0.852146i | − | 0.0313892i | ||||||
\(738\) | −8.30440 | + | 2.87858i | −0.305689 | + | 0.105962i | ||||
\(739\) | −0.807511 | −0.0297048 | −0.0148524 | − | 0.999890i | \(-0.504728\pi\) | ||||
−0.0148524 | + | 0.999890i | \(0.504728\pi\) | |||||||
\(740\) | 8.76009 | − | 7.09592i | 0.322027 | − | 0.260851i | ||||
\(741\) | 4.48787 | − | 1.84124i | 0.164866 | − | 0.0676396i | ||||
\(742\) | 2.58005 | + | 1.23039i | 0.0947165 | + | 0.0451689i | ||||
\(743\) | 13.2127 | + | 22.8850i | 0.484725 | + | 0.839569i | 0.999846 | − | 0.0175489i | \(-0.00558629\pi\) |
−0.515121 | + | 0.857118i | \(0.672253\pi\) | |||||||
\(744\) | −20.1769 | + | 14.5625i | −0.739721 | + | 0.533887i | ||||
\(745\) | 15.5620 | − | 26.9541i | 0.570146 | − | 0.987521i | ||||
\(746\) | 4.07446 | − | 2.80074i | 0.149177 | − | 0.102542i | ||||
\(747\) | 12.7455 | + | 12.9185i | 0.466332 | + | 0.472662i | ||||
\(748\) | −0.406289 | + | 1.05889i | −0.0148554 | + | 0.0387167i | ||||
\(749\) | 5.01860 | − | 8.69248i | 0.183376 | − | 0.317616i | ||||
\(750\) | −18.3772 | − | 1.02387i | −0.671040 | − | 0.0373865i | ||||
\(751\) | 2.08658 | − | 1.20469i | 0.0761405 | − | 0.0439597i | −0.461446 | − | 0.887168i | \(-0.652669\pi\) |
0.537587 | + | 0.843208i | \(0.319336\pi\) | |||||||
\(752\) | −0.341846 | + | 1.61059i | −0.0124658 | + | 0.0587322i | ||||
\(753\) | 1.22989 | − | 9.10473i | 0.0448198 | − | 0.331795i | ||||
\(754\) | −2.87056 | − | 36.4397i | −0.104540 | − | 1.32705i | ||||
\(755\) | − | 76.2698i | − | 2.77574i | ||||||
\(756\) | −15.5883 | − | 15.0908i | −0.566941 | − | 0.548846i | ||||
\(757\) | 3.61528i | 0.131400i | 0.997839 | + | 0.0656998i | \(0.0209280\pi\) | ||||
−0.997839 | + | 0.0656998i | \(0.979072\pi\) | |||||||
\(758\) | −28.4231 | + | 2.23905i | −1.03237 | + | 0.0813258i | ||||
\(759\) | −0.0432152 | + | 0.319916i | −0.00156861 | + | 0.0116122i | ||||
\(760\) | −6.24033 | − | 6.57303i | −0.226361 | − | 0.238429i | ||||
\(761\) | 7.79878 | − | 4.50263i | 0.282706 | − | 0.163220i | −0.351942 | − | 0.936022i | \(-0.614479\pi\) |
0.634648 | + | 0.772802i | \(0.281145\pi\) | |||||||
\(762\) | 2.40194 | − | 43.1117i | 0.0870132 | − | 1.56177i | ||||
\(763\) | −7.48133 | + | 12.9580i | −0.270842 | + | 0.469112i | ||||
\(764\) | 3.18057 | − | 8.28930i | 0.115069 | − | 0.299896i | ||||
\(765\) | 42.4876 | − | 11.0781i | 1.53614 | − | 0.400530i | ||||
\(766\) | −8.54171 | − | 12.4263i | −0.308624 | − | 0.448981i | ||||
\(767\) | −6.83951 | + | 11.8464i | −0.246961 | + | 0.427748i | ||||
\(768\) | −24.3912 | + | 13.1556i | −0.880141 | + | 0.474712i | ||||
\(769\) | 7.58489 | + | 13.1374i | 0.273518 | + | 0.473747i | 0.969760 | − | 0.244060i | \(-0.0784794\pi\) |
−0.696242 | + | 0.717807i | \(0.745146\pi\) | |||||||
\(770\) | −0.598531 | + | 1.25508i | −0.0215696 | + | 0.0452301i | ||||
\(771\) | 39.7792 | − | 16.3202i | 1.43261 | − | 0.587758i | ||||
\(772\) | 1.69661 | + | 2.09451i | 0.0610623 | + | 0.0753830i | ||||
\(773\) | −31.6926 | −1.13990 | −0.569952 | − | 0.821678i | \(-0.693038\pi\) | ||||
−0.569952 | + | 0.821678i | \(0.693038\pi\) | |||||||
\(774\) | −30.0511 | + | 34.7140i | −1.08017 | + | 1.24777i | ||||
\(775\) | − | 36.3433i | − | 1.30549i | ||||||
\(776\) | 0.765897 | − | 2.58772i | 0.0274941 | − | 0.0928938i | ||||
\(777\) | −3.57460 | + | 4.62614i | −0.128238 | + | 0.165962i | ||||
\(778\) | −10.1553 | + | 21.2950i | −0.364084 | + | 0.763463i | ||||
\(779\) | 1.64896 | − | 0.952026i | 0.0590800 | − | 0.0341099i | ||||
\(780\) | 32.2850 | + | 17.6643i | 1.15599 | + | 0.632483i | ||||
\(781\) | 1.40016 | + | 0.808381i | 0.0501016 | + | 0.0289262i | ||||
\(782\) | −6.75042 | + | 4.64016i | −0.241394 | + | 0.165932i | ||||
\(783\) | −35.2365 | + | 26.4762i | −1.25925 | + | 0.946182i | ||||
\(784\) | −7.85392 | − | 7.06752i | −0.280497 | − | 0.252411i | ||||
\(785\) | 16.9259 | + | 9.77217i | 0.604111 | + | 0.348784i | ||||
\(786\) | −32.2619 | + | 16.3045i | −1.15074 | + | 0.581562i | ||||
\(787\) | 10.3290 | + | 17.8904i | 0.368189 | + | 0.637723i | 0.989283 | − | 0.146014i | \(-0.0466444\pi\) |
−0.621093 | + | 0.783737i | \(0.713311\pi\) | |||||||
\(788\) | 18.1105 | − | 2.87116i | 0.645161 | − | 0.102281i | ||||
\(789\) | 21.0929 | − | 27.2978i | 0.750928 | − | 0.971828i | ||||
\(790\) | −4.85883 | − | 61.6793i | −0.172869 | − | 2.19445i | ||||
\(791\) | −0.515713 | −0.0183367 | ||||||||
\(792\) | 0.973385 | + | 0.605256i | 0.0345877 | + | 0.0215068i | ||||
\(793\) | 26.1974 | 0.930297 | ||||||||
\(794\) | 2.55297 | + | 32.4080i | 0.0906014 | + | 1.15012i | ||||
\(795\) | 2.21905 | + | 5.40876i | 0.0787017 | + | 0.191829i | ||||
\(796\) | 7.52333 | + | 47.4553i | 0.266657 | + | 1.68201i | ||||
\(797\) | −17.8453 | − | 30.9089i | −0.632112 | − | 1.09485i | −0.987119 | − | 0.159987i | \(-0.948855\pi\) |
0.355007 | − | 0.934864i | \(-0.384479\pi\) | |||||||
\(798\) | 3.93345 | + | 2.57289i | 0.139243 | + | 0.0910794i | ||||
\(799\) | 1.49646 | + | 0.863984i | 0.0529411 | + | 0.0305655i | ||||
\(800\) | 5.26843 | − | 40.1318i | 0.186267 | − | 1.41887i | ||||
\(801\) | −6.65313 | + | 24.1767i | −0.235077 | + | 0.854243i | ||||
\(802\) | −36.7510 | + | 25.2622i | −1.29772 | + | 0.892040i | ||||
\(803\) | 0.475269 | + | 0.274397i | 0.0167719 | + | 0.00968325i | ||||
\(804\) | −11.3579 | − | 18.6692i | −0.400561 | − | 0.658410i | ||||
\(805\) | −8.69734 | + | 5.02141i | −0.306541 | + | 0.176981i | ||||
\(806\) | −9.42162 | + | 19.7566i | −0.331863 | + | 0.695896i | ||||
\(807\) | −4.04296 | − | 0.546134i | −0.142319 | − | 0.0192248i | ||||
\(808\) | 8.60394 | − | 29.0700i | 0.302686 | − | 1.02268i | ||||
\(809\) | 18.7528i | 0.659314i | 0.944101 | + | 0.329657i | \(0.106933\pi\) | ||||
−0.944101 | + | 0.329657i | \(0.893067\pi\) | |||||||
\(810\) | −2.88817 | − | 44.2810i | −0.101480 | − | 1.55588i | ||||
\(811\) | −33.9206 | −1.19111 | −0.595556 | − | 0.803314i | \(-0.703068\pi\) | ||||
−0.595556 | + | 0.803314i | \(0.703068\pi\) | |||||||
\(812\) | 27.5209 | − | 22.2927i | 0.965795 | − | 0.782321i | ||||
\(813\) | −2.80031 | + | 20.7303i | −0.0982113 | + | 0.727045i | ||||
\(814\) | 0.132947 | − | 0.278782i | 0.00465980 | − | 0.00977131i | ||||
\(815\) | −29.9421 | − | 51.8612i | −1.04882 | − | 1.81662i | ||||
\(816\) | 5.21225 | + | 28.6137i | 0.182465 | + | 1.00168i | ||||
\(817\) | 4.97337 | − | 8.61412i | 0.173996 | − | 0.301370i | ||||
\(818\) | −5.75609 | − | 8.37384i | −0.201257 | − | 0.292785i | ||||
\(819\) | −18.4007 | − | 5.06365i | −0.642974 | − | 0.176938i | ||||
\(820\) | 13.4865 | + | 5.17470i | 0.470969 | + | 0.180708i | ||||
\(821\) | −5.34636 | + | 9.26017i | −0.186589 | + | 0.323182i | −0.944111 | − | 0.329628i | \(-0.893077\pi\) |
0.757522 | + | 0.652810i | \(0.226410\pi\) | |||||||
\(822\) | 35.1714 | + | 23.0058i | 1.22674 | + | 0.802418i | ||||
\(823\) | −33.4172 | + | 19.2934i | −1.16485 | + | 0.672527i | −0.952462 | − | 0.304658i | \(-0.901458\pi\) |
−0.212390 | + | 0.977185i | \(0.568125\pi\) | |||||||
\(824\) | −17.6712 | + | 16.7767i | −0.615604 | + | 0.584445i | ||||
\(825\) | −1.54883 | + | 0.635439i | −0.0539234 | + | 0.0221231i | ||||
\(826\) | −13.2131 | + | 1.04088i | −0.459744 | + | 0.0362167i | ||||
\(827\) | − | 0.214418i | − | 0.00745604i | −0.999993 | − | 0.00372802i | \(-0.998813\pi\) | ||
0.999993 | − | 0.00372802i | \(-0.00118667\pi\) | |||||||
\(828\) | 3.31724 | + | 7.58485i | 0.115282 | + | 0.263592i | ||||
\(829\) | − | 35.5733i | − | 1.23551i | −0.786369 | − | 0.617757i | \(-0.788042\pi\) | ||
0.786369 | − | 0.617757i | \(-0.211958\pi\) | |||||||
\(830\) | −2.34230 | − | 29.7338i | −0.0813024 | − | 1.03207i | ||||
\(831\) | 23.0274 | + | 17.7932i | 0.798812 | + | 0.617239i | ||||
\(832\) | −13.2677 | + | 20.4503i | −0.459975 | + | 0.708985i | ||||
\(833\) | −9.60309 | + | 5.54434i | −0.332727 | + | 0.192100i | ||||
\(834\) | −1.34318 | − | 2.65777i | −0.0465107 | − | 0.0920311i | ||||
\(835\) | −8.06235 | + | 13.9644i | −0.279009 | + | 0.483258i | ||||
\(836\) | −0.231833 | − | 0.0889531i | −0.00801810 | − | 0.00307651i | ||||
\(837\) | 26.2003 | − | 3.18017i | 0.905615 | − | 0.109923i | ||||
\(838\) | 16.9559 | − | 11.6553i | 0.585733 | − | 0.402627i | ||||
\(839\) | 20.5867 | − | 35.6571i | 0.710730 | − | 1.23102i | −0.253853 | − | 0.967243i | \(-0.581698\pi\) |
0.964583 | − | 0.263778i | \(-0.0849687\pi\) | |||||||
\(840\) | 3.61558 | + | 35.4744i | 0.124749 | + | 1.22398i | ||||
\(841\) | −21.4741 | − | 37.1942i | −0.740486 | − | 1.28256i | ||||
\(842\) | −13.8345 | − | 6.59745i | −0.476767 | − | 0.227363i | ||||
\(843\) | −18.9679 | − | 14.6564i | −0.653289 | − | 0.504794i | ||||
\(844\) | 25.4985 | + | 31.4785i | 0.877693 | + | 1.08353i | ||||
\(845\) | −12.9518 | −0.445556 | ||||||||
\(846\) | 1.14299 | − | 1.32034i | 0.0392967 | − | 0.0453942i | ||||
\(847\) | − | 22.9268i | − | 0.787775i | ||||||
\(848\) | −3.68266 | + | 1.19777i | −0.126463 | + | 0.0411315i | ||||
\(849\) | −3.39395 | − | 8.27248i | −0.116480 | − | 0.283911i | ||||
\(850\) | −38.3429 | − | 18.2851i | −1.31515 | − | 0.627175i | ||||
\(851\) | 1.93187 | − | 1.11537i | 0.0662237 | − | 0.0382343i | ||||
\(852\) | 41.4497 | − | 0.951713i | 1.42004 | − | 0.0326051i | ||||
\(853\) | −30.9858 | − | 17.8897i | −1.06093 | − | 0.612530i | −0.135243 | − | 0.990812i | \(-0.543181\pi\) |
−0.925690 | + | 0.378282i | \(0.876515\pi\) | |||||||
\(854\) | 14.3789 | + | 20.9182i | 0.492037 | + | 0.715806i | ||||
\(855\) | 2.42544 | + | 9.30226i | 0.0829484 | + | 0.318131i | ||||
\(856\) | 3.17739 | + | 13.2219i | 0.108601 | + | 0.451915i | ||||
\(857\) | 26.3688 | + | 15.2241i | 0.900742 | + | 0.520044i | 0.877441 | − | 0.479685i | \(-0.159249\pi\) |
0.0233014 | + | 0.999728i | \(0.492582\pi\) | |||||||
\(858\) | 1.00669 | + | 0.0560871i | 0.0343679 | + | 0.00191478i | ||||
\(859\) | −11.7147 | − | 20.2904i | −0.399700 | − | 0.692301i | 0.593989 | − | 0.804473i | \(-0.297552\pi\) |
−0.993689 | + | 0.112172i | \(0.964219\pi\) | |||||||
\(860\) | 74.5305 | − | 11.8157i | 2.54147 | − | 0.402913i | ||||
\(861\) | −7.42364 | − | 1.00281i | −0.252997 | − | 0.0341756i | ||||
\(862\) | 15.3115 | − | 1.20618i | 0.521513 | − | 0.0410826i | ||||
\(863\) | −32.2240 | −1.09692 | −0.548458 | − | 0.836178i | \(-0.684785\pi\) | ||||
−0.548458 | + | 0.836178i | \(0.684785\pi\) | |||||||
\(864\) | 29.3925 | + | 0.286397i | 0.999953 | + | 0.00974342i | ||||
\(865\) | −10.6041 | −0.360549 | ||||||||
\(866\) | −13.2720 | + | 1.04551i | −0.451002 | + | 0.0355280i | ||||
\(867\) | 1.06966 | + | 0.144493i | 0.0363275 | + | 0.00490723i | ||||
\(868\) | −20.9466 | + | 3.32077i | −0.710972 | + | 0.112714i | ||||
\(869\) | −0.847532 | − | 1.46797i | −0.0287506 | − | 0.0497974i | ||||
\(870\) | 72.3260 | + | 4.02959i | 2.45208 | + | 0.136616i | ||||
\(871\) | −16.6470 | − | 9.61117i | −0.564063 | − | 0.325662i | ||||
\(872\) | −4.73659 | − | 19.7101i | −0.160401 | − | 0.667470i | ||||
\(873\) | −2.03761 | + | 2.01032i | −0.0689627 | + | 0.0680392i | ||||
\(874\) | −1.01592 | − | 1.47794i | −0.0343640 | − | 0.0499920i | ||||
\(875\) | −13.5856 | − | 7.84366i | −0.459278 | − | 0.265164i | ||||
\(876\) | 14.0697 | − | 0.323049i | 0.475371 | − | 0.0109148i | ||||
\(877\) | −1.74081 | + | 1.00506i | −0.0587829 | + | 0.0339384i | −0.529103 | − | 0.848557i | \(-0.677472\pi\) |
0.470320 | + | 0.882496i | \(0.344138\pi\) | |||||||
\(878\) | 13.6452 | + | 6.50718i | 0.460502 | + | 0.219607i | ||||
\(879\) | 7.12498 | + | 17.3666i | 0.240320 | + | 0.585759i | ||||
\(880\) | −0.582663 | − | 1.79146i | −0.0196416 | − | 0.0603901i | ||||
\(881\) | 21.6545i | 0.729558i | 0.931094 | + | 0.364779i | \(0.118855\pi\) | ||||
−0.931094 | + | 0.364779i | \(0.881145\pi\) | |||||||
\(882\) | 3.67033 | + | 10.5885i | 0.123586 | + | 0.356534i | ||||
\(883\) | −23.3462 | −0.785664 | −0.392832 | − | 0.919610i | \(-0.628505\pi\) | ||||
−0.392832 | + | 0.919610i | \(0.628505\pi\) | |||||||
\(884\) | 16.1033 | + | 19.8800i | 0.541614 | + | 0.668636i | ||||
\(885\) | −21.4508 | − | 16.5750i | −0.721062 | − | 0.557162i | ||||
\(886\) | −27.9786 | − | 13.3426i | −0.939959 | − | 0.448253i | ||||
\(887\) | −24.4901 | − | 42.4181i | −0.822297 | − | 1.42426i | −0.903968 | − | 0.427600i | \(-0.859359\pi\) |
0.0816710 | − | 0.996659i | \(-0.473974\pi\) | |||||||
\(888\) | −0.803101 | − | 7.87966i | −0.0269503 | − | 0.264424i | ||||
\(889\) | 18.4007 | − | 31.8710i | 0.617141 | − | 1.06892i | ||||
\(890\) | 33.9622 | − | 23.3453i | 1.13842 | − | 0.782535i | ||||
\(891\) | −0.593624 | − | 1.06097i | −0.0198871 | − | 0.0355437i | ||||
\(892\) | 1.12360 | + | 0.431121i | 0.0376210 | + | 0.0144350i | ||||
\(893\) | −0.189161 | + | 0.327636i | −0.00633003 | + | 0.0109639i | ||||
\(894\) | −9.86309 | − | 19.5162i | −0.329871 | − | 0.652720i | ||||
\(895\) | 54.3471 | − | 31.3773i | 1.81662 | − | 1.04883i | ||||
\(896\) | −23.6114 | + | 0.630457i | −0.788803 | + | 0.0210621i | ||||
\(897\) | 5.76228 | + | 4.45249i | 0.192397 | + | 0.148664i | ||||
\(898\) | 2.08169 | + | 26.4256i | 0.0694670 | + | 0.881833i | ||||
\(899\) | 43.0834i | 1.43691i | ||||||||
\(900\) | −25.4629 | + | 34.5651i | −0.848764 | + | 1.15217i | ||||
\(901\) | 4.06424i | 0.135399i | ||||||||
\(902\) | 0.394533 | − | 0.0310796i | 0.0131365 | − | 0.00103484i | ||||
\(903\) | −36.2047 | + | 14.8537i | −1.20482 | + | 0.494300i | ||||
\(904\) | 0.506702 | − | 0.481055i | 0.0168526 | − | 0.0159996i | ||||
\(905\) | −48.1607 | + | 27.8056i | −1.60092 | + | 0.924289i | ||||
\(906\) | −44.8440 | − | 29.3327i | −1.48984 | − | 0.974513i | ||||
\(907\) | −9.93443 | + | 17.2069i | −0.329867 | + | 0.571347i | −0.982485 | − | 0.186340i | \(-0.940337\pi\) |
0.652618 | + | 0.757687i | \(0.273671\pi\) | |||||||
\(908\) | 19.9166 | + | 7.64192i | 0.660957 | + | 0.253606i | ||||
\(909\) | −22.8902 | + | 22.5836i | −0.759218 | + | 0.749051i | ||||
\(910\) | 17.7679 | + | 25.8484i | 0.589001 | + | 0.856866i | ||||
\(911\) | 24.0672 | − | 41.6857i | 0.797383 | − | 1.38111i | −0.123932 | − | 0.992291i | \(-0.539550\pi\) |
0.921315 | − | 0.388817i | \(-0.127116\pi\) | |||||||
\(912\) | −6.26470 | + | 1.14117i | −0.207445 | + | 0.0377879i | ||||
\(913\) | −0.408571 | − | 0.707665i | −0.0135217 | − | 0.0234203i | ||||
\(914\) | 0.0111079 | − | 0.0232927i | 0.000367418 | − | 0.000770453i | ||||
\(915\) | −6.94995 | + | 51.4495i | −0.229758 | + | 1.70087i | ||||
\(916\) | −39.7620 | + | 32.2083i | −1.31377 | + | 1.06419i | ||||
\(917\) | −30.8091 | −1.01741 | ||||||||
\(918\) | 9.82684 | − | 29.2418i | 0.324334 | − | 0.965124i | ||||
\(919\) | − | 34.3644i | − | 1.13358i | −0.823864 | − | 0.566788i | \(-0.808186\pi\) | ||
0.823864 | − | 0.566788i | \(-0.191814\pi\) | |||||||
\(920\) | 3.86141 | − | 13.0465i | 0.127307 | − | 0.430130i | ||||
\(921\) | −28.5878 | − | 3.86173i | −0.942002 | − | 0.127248i | ||||
\(922\) | 1.53299 | − | 3.21459i | 0.0504864 | − | 0.105867i | ||||
\(923\) | 31.5841 | − | 18.2351i | 1.03960 | − | 0.600216i | ||||
\(924\) | 0.507757 | + | 0.834611i | 0.0167040 | + | 0.0274567i | ||||
\(925\) | 10.0185 | + | 5.78416i | 0.329405 | + | 0.190182i | ||||
\(926\) | −32.1632 | + | 22.1086i | −1.05695 | + | 0.726535i | ||||
\(927\) | 25.0085 | − | 6.52064i | 0.821387 | − | 0.214166i | ||||
\(928\) | −6.24550 | + | 47.5745i | −0.205019 | + | 1.56171i | ||||
\(929\) | 15.1165 | + | 8.72750i | 0.495955 | + | 0.286340i | 0.727042 | − | 0.686593i | \(-0.240895\pi\) |
−0.231086 | + | 0.972933i | \(0.574228\pi\) | |||||||
\(930\) | −36.3008 | − | 23.7445i | −1.19035 | − | 0.778614i | ||||
\(931\) | −1.21388 | − | 2.10250i | −0.0397833 | − | 0.0689067i | ||||
\(932\) | 1.47525 | + | 9.30551i | 0.0483235 | + | 0.304812i | ||||
\(933\) | 8.50998 | + | 20.7424i | 0.278604 | + | 0.679075i | ||||
\(934\) | 3.16114 | + | 40.1284i | 0.103436 | + | 1.31304i | ||||
\(935\) | −1.97708 | −0.0646574 | ||||||||
\(936\) | 22.8025 | − | 12.1889i | 0.745324 | − | 0.398408i | ||||
\(937\) | 42.3068 | 1.38210 | 0.691051 | − | 0.722806i | \(-0.257148\pi\) | ||||
0.691051 | + | 0.722806i | \(0.257148\pi\) | |||||||
\(938\) | −1.46268 | − | 18.5677i | −0.0477583 | − | 0.606256i | ||||
\(939\) | 28.2958 | − | 36.6196i | 0.923400 | − | 1.19504i | ||||
\(940\) | −2.83475 | + | 0.449408i | −0.0924594 | + | 0.0146581i | ||||
\(941\) | 11.6752 | + | 20.2221i | 0.380602 | + | 0.659222i | 0.991148 | − | 0.132758i | \(-0.0423835\pi\) |
−0.610546 | + | 0.791980i | \(0.709050\pi\) | |||||||
\(942\) | 12.2553 | − | 6.19356i | 0.399298 | − | 0.201797i | ||||
\(943\) | 2.47539 | + | 1.42917i | 0.0806097 | + | 0.0465400i | ||||
\(944\) | 12.0113 | − | 13.3478i | 0.390936 | − | 0.434435i | ||||
\(945\) | 14.8261 | − | 34.7941i | 0.482294 | − | 1.13185i | ||||
\(946\) | 1.70373 | − | 1.17112i | 0.0553929 | − | 0.0380765i | ||||
\(947\) | 28.1206 | + | 16.2354i | 0.913796 | + | 0.527580i | 0.881651 | − | 0.471903i | \(-0.156433\pi\) |
0.0321454 | + | 0.999483i | \(0.489766\pi\) | |||||||
\(948\) | −38.1340 | − | 20.8645i | −1.23853 | − | 0.677647i | ||||
\(949\) | 10.7209 | − | 6.18973i | 0.348016 | − | 0.200927i | ||||
\(950\) | 4.00335 | − | 8.39480i | 0.129886 | − | 0.272363i | ||||
\(951\) | 26.5482 | − | 34.3579i | 0.860884 | − | 1.11413i | ||||
\(952\) | −7.03522 | + | 23.7698i | −0.228013 | + | 0.770382i | ||||
\(953\) | − | 11.0705i | − | 0.358607i | −0.983794 | − | 0.179304i | \(-0.942616\pi\) | ||
0.983794 | − | 0.179304i | \(-0.0573844\pi\) | |||||||
\(954\) | 4.03360 | + | 0.775435i | 0.130593 | + | 0.0251056i | ||||
\(955\) | 15.4772 | 0.500832 | ||||||||
\(956\) | −18.9091 | − | 23.3437i | −0.611563 | − | 0.754990i | ||||
\(957\) | 1.83607 | − | 0.753286i | 0.0593518 | − | 0.0243503i | ||||
\(958\) | −23.3272 | + | 48.9158i | −0.753669 | + | 1.58040i | ||||
\(959\) | 17.9101 | + | 31.0212i | 0.578347 | + | 1.00173i | ||||
\(960\) | −36.6428 | − | 31.4820i | −1.18264 | − | 1.01608i | ||||
\(961\) | −2.60055 | + | 4.50429i | −0.0838888 | + | 0.145300i | ||||
\(962\) | −3.94665 | − | 5.74151i | −0.127245 | − | 0.185114i | ||||
\(963\) | 3.82683 | − | 13.9063i | 0.123318 | − | 0.448123i | ||||
\(964\) | 18.4462 | − | 48.0751i | 0.594111 | − | 1.54839i | ||||
\(965\) | −2.34938 | + | 4.06924i | −0.0756291 | + | 0.130993i | ||||
\(966\) | −0.392503 | + | 7.04493i | −0.0126286 | + | 0.226667i | ||||
\(967\) | −40.9201 | + | 23.6252i | −1.31590 | + | 0.759736i | −0.983066 | − | 0.183249i | \(-0.941338\pi\) |
−0.332835 | + | 0.942985i | \(0.608005\pi\) | |||||||
\(968\) | 21.3860 | + | 22.5262i | 0.687373 | + | 0.724019i | ||||
\(969\) | −0.894632 | + | 6.62283i | −0.0287397 | + | 0.212756i | ||||
\(970\) | 4.68987 | − | 0.369448i | 0.150583 | − | 0.0118623i | ||||
\(971\) | − | 33.9428i | − | 1.08928i | −0.838671 | − | 0.544638i | \(-0.816667\pi\) | ||
0.838671 | − | 0.544638i | \(-0.183333\pi\) | |||||||
\(972\) | −27.1465 | − | 15.3319i | −0.870724 | − | 0.491772i | ||||
\(973\) | − | 2.53809i | − | 0.0813674i | ||||||
\(974\) | −0.250621 | − | 3.18145i | −0.00803042 | − | 0.101940i | ||||
\(975\) | −5.05535 | + | 37.4241i | −0.161901 | + | 1.19853i | ||||
\(976\) | −33.6401 | − | 7.14007i | −1.07679 | − | 0.228548i | ||||
\(977\) | 26.9476 | − | 15.5582i | 0.862131 | − | 0.497752i | −0.00259421 | − | 0.999997i | \(-0.500826\pi\) |
0.864725 | + | 0.502245i | \(0.167492\pi\) | |||||||
\(978\) | −42.0081 | − | 2.34045i | −1.34327 | − | 0.0748394i | ||||
\(979\) | 0.564544 | − | 0.977819i | 0.0180429 | − | 0.0312512i | ||||
\(980\) | 6.59800 | − | 17.1959i | 0.210765 | − | 0.549304i | ||||
\(981\) | −5.70473 | + | 20.7303i | −0.182138 | + | 0.661869i | ||||
\(982\) | 23.9080 | − | 16.4341i | 0.762936 | − | 0.524434i | ||||
\(983\) | −18.2288 | + | 31.5733i | −0.581410 | + | 1.00703i | 0.413903 | + | 0.910321i | \(0.364165\pi\) |
−0.995313 | + | 0.0967103i | \(0.969168\pi\) | |||||||
\(984\) | 8.22933 | − | 5.93945i | 0.262342 | − | 0.189343i | ||||
\(985\) | 15.9824 | + | 27.6824i | 0.509243 | + | 0.882034i | ||||
\(986\) | 45.4538 | + | 21.6763i | 1.44754 | + | 0.690313i | ||||
\(987\) | 1.37704 | − | 0.564957i | 0.0438315 | − | 0.0179828i | ||||
\(988\) | −4.35253 | + | 3.52567i | −0.138472 | + | 0.112166i | ||||
\(989\) | 14.9319 | 0.474806 | ||||||||
\(990\) | −0.377217 | + | 1.96218i | −0.0119887 | + | 0.0623620i | ||||
\(991\) | 21.5164i | 0.683490i | 0.939793 | + | 0.341745i | \(0.111018\pi\) | ||||
−0.939793 | + | 0.341745i | \(0.888982\pi\) | |||||||
\(992\) | 17.4829 | − | 22.8016i | 0.555084 | − | 0.723951i | ||||
\(993\) | 17.9602 | − | 23.2436i | 0.569951 | − | 0.737613i | ||||
\(994\) | 31.8960 | + | 15.2107i | 1.01168 | + | 0.482455i | ||||
\(995\) | −72.5365 | + | 41.8790i | −2.29956 | + | 1.32765i | ||||
\(996\) | −18.3833 | − | 10.0582i | −0.582496 | − | 0.318705i | ||||
\(997\) | 49.4923 | + | 28.5744i | 1.56744 | + | 0.904961i | 0.996467 | + | 0.0839906i | \(0.0267666\pi\) |
0.570971 | + | 0.820970i | \(0.306567\pi\) | |||||||
\(998\) | −3.00920 | − | 4.37772i | −0.0952544 | − | 0.138574i | ||||
\(999\) | −3.29322 | + | 7.72856i | −0.104193 | + | 0.244521i |
(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 | 72.2.l.b.11.1 | ✓ | 16 | |
3.2 | odd | 2 | 216.2.l.b.35.8 | 16 | |||
4.3 | odd | 2 | 288.2.p.b.47.8 | 16 | |||
8.3 | odd | 2 | inner | 72.2.l.b.11.4 | yes | 16 | |
8.5 | even | 2 | 288.2.p.b.47.7 | 16 | |||
9.2 | odd | 6 | 648.2.f.b.323.7 | 16 | |||
9.4 | even | 3 | 216.2.l.b.179.5 | 16 | |||
9.5 | odd | 6 | inner | 72.2.l.b.59.4 | yes | 16 | |
9.7 | even | 3 | 648.2.f.b.323.10 | 16 | |||
12.11 | even | 2 | 864.2.p.b.143.1 | 16 | |||
24.5 | odd | 2 | 864.2.p.b.143.8 | 16 | |||
24.11 | even | 2 | 216.2.l.b.35.5 | 16 | |||
36.7 | odd | 6 | 2592.2.f.b.1295.2 | 16 | |||
36.11 | even | 6 | 2592.2.f.b.1295.16 | 16 | |||
36.23 | even | 6 | 288.2.p.b.239.7 | 16 | |||
36.31 | odd | 6 | 864.2.p.b.719.8 | 16 | |||
72.5 | odd | 6 | 288.2.p.b.239.8 | 16 | |||
72.11 | even | 6 | 648.2.f.b.323.9 | 16 | |||
72.13 | even | 6 | 864.2.p.b.719.1 | 16 | |||
72.29 | odd | 6 | 2592.2.f.b.1295.1 | 16 | |||
72.43 | odd | 6 | 648.2.f.b.323.8 | 16 | |||
72.59 | even | 6 | inner | 72.2.l.b.59.1 | yes | 16 | |
72.61 | even | 6 | 2592.2.f.b.1295.15 | 16 | |||
72.67 | odd | 6 | 216.2.l.b.179.8 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.2.l.b.11.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
72.2.l.b.11.4 | yes | 16 | 8.3 | odd | 2 | inner | |
72.2.l.b.59.1 | yes | 16 | 72.59 | even | 6 | inner | |
72.2.l.b.59.4 | yes | 16 | 9.5 | odd | 6 | inner | |
216.2.l.b.35.5 | 16 | 24.11 | even | 2 | |||
216.2.l.b.35.8 | 16 | 3.2 | odd | 2 | |||
216.2.l.b.179.5 | 16 | 9.4 | even | 3 | |||
216.2.l.b.179.8 | 16 | 72.67 | odd | 6 | |||
288.2.p.b.47.7 | 16 | 8.5 | even | 2 | |||
288.2.p.b.47.8 | 16 | 4.3 | odd | 2 | |||
288.2.p.b.239.7 | 16 | 36.23 | even | 6 | |||
288.2.p.b.239.8 | 16 | 72.5 | odd | 6 | |||
648.2.f.b.323.7 | 16 | 9.2 | odd | 6 | |||
648.2.f.b.323.8 | 16 | 72.43 | odd | 6 | |||
648.2.f.b.323.9 | 16 | 72.11 | even | 6 | |||
648.2.f.b.323.10 | 16 | 9.7 | even | 3 | |||
864.2.p.b.143.1 | 16 | 12.11 | even | 2 | |||
864.2.p.b.143.8 | 16 | 24.5 | odd | 2 | |||
864.2.p.b.719.1 | 16 | 72.13 | even | 6 | |||
864.2.p.b.719.8 | 16 | 36.31 | odd | 6 | |||
2592.2.f.b.1295.1 | 16 | 72.29 | odd | 6 | |||
2592.2.f.b.1295.2 | 16 | 36.7 | odd | 6 | |||
2592.2.f.b.1295.15 | 16 | 72.61 | even | 6 | |||
2592.2.f.b.1295.16 | 16 | 36.11 | even | 6 |