Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(4,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.t (of order \(78\), degree \(24\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 205.2 | ||
Character | \(\chi\) | \(=\) | 507.205 |
Dual form | 507.2.t.b.277.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{47}{78}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.700274 | + | 2.09758i | −0.495168 | + | 1.48321i | 0.343807 | + | 0.939040i | \(0.388283\pi\) |
−0.838975 | + | 0.544170i | \(0.816845\pi\) | |||||||
\(3\) | 0.632445 | − | 0.774605i | 0.365143 | − | 0.447218i | ||||
\(4\) | −2.31055 | − | 1.73627i | −1.15528 | − | 0.868135i | ||||
\(5\) | −0.365976 | − | 1.48482i | −0.163669 | − | 0.664032i | −0.994245 | − | 0.107127i | \(-0.965835\pi\) |
0.830576 | − | 0.556905i | \(-0.188011\pi\) | |||||||
\(6\) | 1.18191 | + | 1.86904i | 0.482512 | + | 0.763031i | ||||
\(7\) | −0.0438574 | − | 0.543271i | −0.0165765 | − | 0.205337i | −0.999744 | − | 0.0226300i | \(-0.992796\pi\) |
0.983167 | − | 0.182707i | \(-0.0584860\pi\) | |||||||
\(8\) | 1.62011 | − | 1.11828i | 0.572797 | − | 0.395373i | ||||
\(9\) | −0.200026 | − | 0.979791i | −0.0666752 | − | 0.326597i | ||||
\(10\) | 3.37081 | + | 0.272120i | 1.06594 | + | 0.0860518i | ||||
\(11\) | −2.12796 | − | 0.434426i | −0.641603 | − | 0.130984i | −0.131802 | − | 0.991276i | \(-0.542076\pi\) |
−0.509802 | + | 0.860292i | \(0.670281\pi\) | |||||||
\(12\) | −2.80622 | + | 0.691672i | −0.810087 | + | 0.199668i | ||||
\(13\) | −3.52629 | − | 0.751835i | −0.978018 | − | 0.208521i | ||||
\(14\) | 1.17026 | + | 0.288444i | 0.312766 | + | 0.0770900i | ||||
\(15\) | −1.38161 | − | 0.655582i | −0.356730 | − | 0.169271i | ||||
\(16\) | −0.397050 | − | 1.37077i | −0.0992624 | − | 0.342694i | ||||
\(17\) | −8.02433 | + | 0.647791i | −1.94619 | + | 0.157112i | −0.990523 | − | 0.137348i | \(-0.956142\pi\) |
−0.955664 | + | 0.294461i | \(0.904860\pi\) | |||||||
\(18\) | 2.19526 | + | 0.266553i | 0.517427 | + | 0.0628270i | ||||
\(19\) | 0.698122 | + | 0.403061i | 0.160160 | + | 0.0924685i | 0.577938 | − | 0.816081i | \(-0.303858\pi\) |
−0.417778 | + | 0.908549i | \(0.637191\pi\) | |||||||
\(20\) | −1.73244 | + | 4.06619i | −0.387386 | + | 0.909229i | ||||
\(21\) | −0.448558 | − | 0.309617i | −0.0978834 | − | 0.0675640i | ||||
\(22\) | 2.40139 | − | 4.15934i | 0.511979 | − | 0.886773i | ||||
\(23\) | −0.423373 | − | 0.733304i | −0.0882794 | − | 0.152904i | 0.818505 | − | 0.574500i | \(-0.194803\pi\) |
−0.906784 | + | 0.421596i | \(0.861470\pi\) | |||||||
\(24\) | 0.158405 | − | 1.96220i | 0.0323344 | − | 0.400533i | ||||
\(25\) | 2.35652 | − | 1.23680i | 0.471305 | − | 0.247360i | ||||
\(26\) | 4.04640 | − | 6.87018i | 0.793564 | − | 1.34735i | ||||
\(27\) | −0.885456 | − | 0.464723i | −0.170406 | − | 0.0894360i | ||||
\(28\) | −0.841930 | + | 1.33141i | −0.159110 | + | 0.251612i | ||||
\(29\) | −6.60079 | − | 2.20367i | −1.22574 | − | 0.409210i | −0.371175 | − | 0.928563i | \(-0.621045\pi\) |
−0.854560 | + | 0.519352i | \(0.826173\pi\) | |||||||
\(30\) | 2.34264 | − | 2.43894i | 0.427705 | − | 0.445288i | ||||
\(31\) | 1.68091 | − | 3.20270i | 0.301900 | − | 0.575222i | −0.686494 | − | 0.727135i | \(-0.740851\pi\) |
0.988394 | + | 0.151914i | \(0.0485436\pi\) | |||||||
\(32\) | 7.08732 | + | 0.285609i | 1.25287 | + | 0.0504891i | ||||
\(33\) | −1.68233 | + | 1.37358i | −0.292855 | + | 0.239109i | ||||
\(34\) | 4.26044 | − | 17.2853i | 0.730659 | − | 2.96440i | ||||
\(35\) | −0.790610 | + | 0.263944i | −0.133637 | + | 0.0446148i | ||||
\(36\) | −1.23901 | + | 2.61116i | −0.206502 | + | 0.435193i | ||||
\(37\) | −6.63211 | + | 0.267265i | −1.09031 | + | 0.0439381i | −0.578901 | − | 0.815398i | \(-0.696518\pi\) |
−0.511411 | + | 0.859336i | \(0.670877\pi\) | |||||||
\(38\) | −1.33433 | + | 1.18211i | −0.216456 | + | 0.191764i | ||||
\(39\) | −2.81256 | + | 2.25599i | −0.450370 | + | 0.361248i | ||||
\(40\) | −2.25338 | − | 1.99632i | −0.356290 | − | 0.315645i | ||||
\(41\) | 7.85340 | + | 6.41210i | 1.22649 | + | 1.00140i | 0.999622 | + | 0.0274772i | \(0.00874736\pi\) |
0.226872 | + | 0.973925i | \(0.427150\pi\) | |||||||
\(42\) | 0.963559 | − | 0.724067i | 0.148680 | − | 0.111726i | ||||
\(43\) | 0.260181 | − | 6.45631i | 0.0396772 | − | 0.984578i | −0.849661 | − | 0.527329i | \(-0.823194\pi\) |
0.889338 | − | 0.457250i | \(-0.151165\pi\) | |||||||
\(44\) | 4.16248 | + | 4.69847i | 0.627518 | + | 0.708321i | ||||
\(45\) | −1.38161 | + | 0.655582i | −0.205958 | + | 0.0977284i | ||||
\(46\) | 1.83464 | − | 0.374544i | 0.270502 | − | 0.0552235i | ||||
\(47\) | 1.35344 | − | 0.164337i | 0.197419 | − | 0.0239710i | −0.0212297 | − | 0.999775i | \(-0.506758\pi\) |
0.218649 | + | 0.975804i | \(0.429835\pi\) | |||||||
\(48\) | −1.31292 | − | 0.559383i | −0.189504 | − | 0.0807400i | ||||
\(49\) | 6.61613 | − | 1.07523i | 0.945162 | − | 0.153604i | ||||
\(50\) | 0.944068 | + | 5.80908i | 0.133511 | + | 0.821528i | ||||
\(51\) | −4.57317 | + | 6.62538i | −0.640372 | + | 0.927739i | ||||
\(52\) | 6.84231 | + | 7.85975i | 0.948857 | + | 1.08995i | ||||
\(53\) | 0.922012 | + | 1.33577i | 0.126648 | + | 0.183482i | 0.881179 | − | 0.472783i | \(-0.156751\pi\) |
−0.754530 | + | 0.656265i | \(0.772135\pi\) | |||||||
\(54\) | 1.59485 | − | 1.53188i | 0.217032 | − | 0.208462i | ||||
\(55\) | 0.133736 | + | 3.31863i | 0.0180330 | + | 0.447484i | ||||
\(56\) | −0.678585 | − | 0.831116i | −0.0906798 | − | 0.111063i | ||||
\(57\) | 0.753737 | − | 0.285855i | 0.0998349 | − | 0.0378624i | ||||
\(58\) | 9.24471 | − | 12.3025i | 1.21389 | − | 1.61539i | ||||
\(59\) | −8.50884 | − | 2.46462i | −1.10776 | − | 0.320866i | −0.326576 | − | 0.945171i | \(-0.605895\pi\) |
−0.781180 | + | 0.624305i | \(0.785382\pi\) | |||||||
\(60\) | 2.05402 | + | 3.91361i | 0.265173 | + | 0.505244i | ||||
\(61\) | −0.298531 | − | 0.629140i | −0.0382229 | − | 0.0805531i | 0.883441 | − | 0.468543i | \(-0.155221\pi\) |
−0.921664 | + | 0.387990i | \(0.873170\pi\) | |||||||
\(62\) | 5.54081 | + | 5.76859i | 0.703683 | + | 0.732612i | ||||
\(63\) | −0.523519 | + | 0.151639i | −0.0659572 | + | 0.0191047i | ||||
\(64\) | −4.55003 | + | 11.9974i | −0.568753 | + | 1.49968i | ||||
\(65\) | 0.174197 | + | 5.51107i | 0.0216065 | + | 0.683564i | ||||
\(66\) | −1.70309 | − | 4.49068i | −0.209636 | − | 0.552765i | ||||
\(67\) | 3.90721 | + | 5.19955i | 0.477341 | + | 0.635226i | 0.972313 | − | 0.233684i | \(-0.0750780\pi\) |
−0.494972 | + | 0.868909i | \(0.664822\pi\) | |||||||
\(68\) | 19.6654 | + | 12.4356i | 2.38478 | + | 1.50804i | ||||
\(69\) | −0.835781 | − | 0.135828i | −0.100616 | − | 0.0163517i | ||||
\(70\) | − | 1.84320i | − | 0.220304i | ||||||
\(71\) | −1.74319 | + | 10.7263i | −0.206878 | + | 1.27297i | 0.650983 | + | 0.759092i | \(0.274357\pi\) |
−0.857862 | + | 0.513881i | \(0.828207\pi\) | |||||||
\(72\) | −1.41975 | − | 1.36369i | −0.167319 | − | 0.160712i | ||||
\(73\) | 2.71204 | − | 3.06126i | 0.317420 | − | 0.358293i | −0.568046 | − | 0.822996i | \(-0.692301\pi\) |
0.885466 | + | 0.464703i | \(0.153839\pi\) | |||||||
\(74\) | 4.08368 | − | 14.0985i | 0.474718 | − | 1.63892i | ||||
\(75\) | 0.532342 | − | 2.60758i | 0.0614695 | − | 0.301098i | ||||
\(76\) | −0.913227 | − | 2.14342i | −0.104754 | − | 0.245867i | ||||
\(77\) | −0.142684 | + | 1.17511i | −0.0162604 | + | 0.133916i | ||||
\(78\) | −2.76255 | − | 7.47937i | −0.312797 | − | 0.846872i | ||||
\(79\) | −1.46207 | − | 12.0412i | −0.164495 | − | 1.35474i | −0.807948 | − | 0.589254i | \(-0.799422\pi\) |
0.643453 | − | 0.765486i | \(-0.277501\pi\) | |||||||
\(80\) | −1.89004 | + | 1.09122i | −0.211313 | + | 0.122002i | ||||
\(81\) | −0.919979 | + | 0.391967i | −0.102220 | + | 0.0435518i | ||||
\(82\) | −18.9494 | + | 11.9829i | −2.09261 | + | 1.32329i | ||||
\(83\) | 3.95130 | + | 1.49853i | 0.433711 | + | 0.164485i | 0.561791 | − | 0.827279i | \(-0.310112\pi\) |
−0.128080 | + | 0.991764i | \(0.540882\pi\) | |||||||
\(84\) | 0.498839 | + | 1.49420i | 0.0544278 | + | 0.163031i | ||||
\(85\) | 3.89856 | + | 11.6776i | 0.422859 | + | 1.26662i | ||||
\(86\) | 13.3604 | + | 5.06693i | 1.44069 | + | 0.546382i | ||||
\(87\) | −5.88161 | + | 3.71930i | −0.630574 | + | 0.398751i | ||||
\(88\) | −3.93335 | + | 1.67584i | −0.419296 | + | 0.178645i | ||||
\(89\) | 13.9328 | − | 8.04412i | 1.47688 | − | 0.852675i | 0.477217 | − | 0.878785i | \(-0.341645\pi\) |
0.999659 | + | 0.0261104i | \(0.00831215\pi\) | |||||||
\(90\) | −0.407628 | − | 3.35712i | −0.0429678 | − | 0.353871i | ||||
\(91\) | −0.253796 | + | 1.94871i | −0.0266051 | + | 0.204280i | ||||
\(92\) | −0.294986 | + | 2.42943i | −0.0307544 | + | 0.253285i | ||||
\(93\) | −1.41774 | − | 3.32757i | −0.147013 | − | 0.345053i | ||||
\(94\) | −0.603067 | + | 2.95402i | −0.0622017 | + | 0.304684i | ||||
\(95\) | 0.342978 | − | 1.18410i | 0.0351888 | − | 0.121486i | ||||
\(96\) | 4.70358 | − | 5.30924i | 0.480057 | − | 0.541872i | ||||
\(97\) | −1.71263 | − | 1.64501i | −0.173892 | − | 0.167025i | 0.600726 | − | 0.799455i | \(-0.294878\pi\) |
−0.774618 | + | 0.632430i | \(0.782058\pi\) | |||||||
\(98\) | −2.37773 | + | 14.6308i | −0.240187 | + | 1.47793i | ||||
\(99\) | 2.17185i | 0.218279i | ||||||||
\(100\) | −7.59229 | − | 1.23387i | −0.759229 | − | 0.123387i | ||||
\(101\) | 4.89095 | + | 3.09285i | 0.486667 | + | 0.307750i | 0.755170 | − | 0.655529i | \(-0.227554\pi\) |
−0.268502 | + | 0.963279i | \(0.586529\pi\) | |||||||
\(102\) | −10.6948 | − | 14.2321i | −1.05894 | − | 1.40919i | ||||
\(103\) | −2.59924 | − | 6.85363i | −0.256111 | − | 0.675309i | −0.999976 | − | 0.00697862i | \(-0.997779\pi\) |
0.743865 | − | 0.668330i | \(-0.232991\pi\) | |||||||
\(104\) | −6.55376 | + | 2.72534i | −0.642649 | + | 0.267242i | ||||
\(105\) | −0.295565 | + | 0.779341i | −0.0288442 | + | 0.0760559i | ||||
\(106\) | −3.44753 | + | 0.998589i | −0.334854 | + | 0.0969916i | ||||
\(107\) | −8.68817 | − | 9.04534i | −0.839917 | − | 0.874446i | 0.153600 | − | 0.988133i | \(-0.450913\pi\) |
−0.993517 | + | 0.113687i | \(0.963734\pi\) | |||||||
\(108\) | 1.23901 | + | 2.61116i | 0.119224 | + | 0.251259i | ||||
\(109\) | 6.12594 | + | 11.6720i | 0.586758 | + | 1.11797i | 0.980086 | + | 0.198576i | \(0.0636316\pi\) |
−0.393327 | + | 0.919399i | \(0.628676\pi\) | |||||||
\(110\) | −7.05472 | − | 2.04343i | −0.672642 | − | 0.194833i | ||||
\(111\) | −3.98742 | + | 5.30629i | −0.378469 | + | 0.503651i | ||||
\(112\) | −0.727288 | + | 0.275824i | −0.0687223 | + | 0.0260629i | ||||
\(113\) | −10.2217 | − | 12.5193i | −0.961573 | − | 1.17771i | −0.984037 | − | 0.177965i | \(-0.943049\pi\) |
0.0224643 | − | 0.999748i | \(-0.492849\pi\) | |||||||
\(114\) | 0.0717798 | + | 1.78120i | 0.00672279 | + | 0.166824i | ||||
\(115\) | −0.933881 | + | 0.897005i | −0.0870849 | + | 0.0836461i | ||||
\(116\) | 11.4253 | + | 16.5524i | 1.06081 | + | 1.53685i | ||||
\(117\) | −0.0312913 | + | 3.60542i | −0.00289288 | + | 0.333321i | ||||
\(118\) | 11.1282 | − | 16.1220i | 1.02444 | − | 1.48415i | ||||
\(119\) | 0.703852 | + | 4.33098i | 0.0645220 | + | 0.397020i | ||||
\(120\) | −2.97149 | + | 0.482915i | −0.271259 | + | 0.0440839i | ||||
\(121\) | −5.78029 | − | 2.46275i | −0.525481 | − | 0.223887i | ||||
\(122\) | 1.52872 | − | 0.185620i | 0.138404 | − | 0.0168053i | ||||
\(123\) | 9.93369 | − | 2.02798i | 0.895691 | − | 0.182857i | ||||
\(124\) | −9.44457 | + | 4.48150i | −0.848147 | + | 0.402451i | ||||
\(125\) | −7.76929 | − | 8.76971i | −0.694906 | − | 0.784387i | ||||
\(126\) | 0.0485320 | − | 1.20431i | 0.00432358 | − | 0.107288i | ||||
\(127\) | −16.7817 | + | 12.6107i | −1.48914 | + | 1.11902i | −0.525840 | + | 0.850584i | \(0.676249\pi\) |
−0.963299 | + | 0.268431i | \(0.913495\pi\) | |||||||
\(128\) | −10.9906 | − | 8.97354i | −0.971441 | − | 0.793157i | ||||
\(129\) | −4.83654 | − | 4.28480i | −0.425834 | − | 0.377256i | ||||
\(130\) | −11.6819 | − | 3.49387i | −1.02457 | − | 0.306432i | ||||
\(131\) | −12.0404 | + | 10.6669i | −1.05198 | + | 0.931971i | −0.997782 | − | 0.0665596i | \(-0.978798\pi\) |
−0.0541951 | + | 0.998530i | \(0.517259\pi\) | |||||||
\(132\) | 6.27200 | − | 0.252753i | 0.545908 | − | 0.0219993i | ||||
\(133\) | 0.188354 | − | 0.396947i | 0.0163323 | − | 0.0344196i | ||||
\(134\) | −13.6426 | + | 4.55455i | −1.17854 | + | 0.393454i | ||||
\(135\) | −0.365976 | + | 1.48482i | −0.0314982 | + | 0.127793i | ||||
\(136\) | −12.2759 | + | 10.0230i | −1.05265 | + | 0.859463i | ||||
\(137\) | −9.78185 | − | 0.394195i | −0.835720 | − | 0.0336784i | −0.381284 | − | 0.924458i | \(-0.624518\pi\) |
−0.454436 | + | 0.890779i | \(0.650159\pi\) | |||||||
\(138\) | 0.870184 | − | 1.65800i | 0.0740750 | − | 0.141138i | ||||
\(139\) | −8.73854 | + | 9.09778i | −0.741193 | + | 0.771664i | −0.979913 | − | 0.199425i | \(-0.936093\pi\) |
0.238720 | + | 0.971088i | \(0.423272\pi\) | |||||||
\(140\) | 2.28503 | + | 0.762854i | 0.193120 | + | 0.0644729i | ||||
\(141\) | 0.728679 | − | 1.15231i | 0.0613659 | − | 0.0970424i | ||||
\(142\) | −21.2784 | − | 11.1678i | −1.78565 | − | 0.937179i | ||||
\(143\) | 7.17719 | + | 3.13179i | 0.600187 | + | 0.261893i | ||||
\(144\) | −1.26365 | + | 0.663216i | −0.105304 | + | 0.0552680i | ||||
\(145\) | −0.856324 | + | 10.6075i | −0.0711138 | + | 0.880903i | ||||
\(146\) | 4.52205 | + | 7.83242i | 0.374248 | + | 0.648216i | ||||
\(147\) | 3.35147 | − | 5.80491i | 0.276424 | − | 0.478781i | ||||
\(148\) | 15.7879 | + | 10.8976i | 1.29776 | + | 0.895777i | ||||
\(149\) | 4.11158 | − | 9.65024i | 0.336834 | − | 0.790578i | −0.662311 | − | 0.749229i | \(-0.730424\pi\) |
0.999145 | − | 0.0413491i | \(-0.0131656\pi\) | |||||||
\(150\) | 5.09681 | + | 2.94265i | 0.416153 | + | 0.240266i | ||||
\(151\) | 5.81795 | + | 0.706427i | 0.473458 | + | 0.0574882i | 0.353788 | − | 0.935326i | \(-0.384893\pi\) |
0.119670 | + | 0.992814i | \(0.461816\pi\) | |||||||
\(152\) | 1.58177 | − | 0.127694i | 0.128299 | − | 0.0103573i | ||||
\(153\) | 2.23977 | + | 7.73259i | 0.181075 | + | 0.625143i | ||||
\(154\) | −2.36497 | − | 1.12219i | −0.190574 | − | 0.0904287i | ||||
\(155\) | −5.37061 | − | 1.32374i | −0.431378 | − | 0.106325i | ||||
\(156\) | 10.4156 | − | 0.329222i | 0.833914 | − | 0.0263589i | ||||
\(157\) | 8.69323 | − | 2.14269i | 0.693795 | − | 0.171005i | 0.123377 | − | 0.992360i | \(-0.460627\pi\) |
0.570418 | + | 0.821355i | \(0.306781\pi\) | |||||||
\(158\) | 26.2812 | + | 5.36534i | 2.09082 | + | 0.426843i | ||||
\(159\) | 1.61781 | + | 0.130603i | 0.128301 | + | 0.0103575i | ||||
\(160\) | −2.16971 | − | 10.6279i | −0.171531 | − | 0.840212i | ||||
\(161\) | −0.379815 | + | 0.262167i | −0.0299336 | + | 0.0206617i | ||||
\(162\) | −0.177942 | − | 2.20421i | −0.0139805 | − | 0.173179i | ||||
\(163\) | 5.55945 | + | 8.79156i | 0.435450 | + | 0.688608i | 0.989606 | − | 0.143804i | \(-0.0459335\pi\) |
−0.554157 | + | 0.832412i | \(0.686959\pi\) | |||||||
\(164\) | −7.01257 | − | 28.4511i | −0.547590 | − | 2.22166i | ||||
\(165\) | 2.65521 | + | 1.99526i | 0.206708 | + | 0.155331i | ||||
\(166\) | −5.91027 | + | 7.23876i | −0.458726 | + | 0.561837i | ||||
\(167\) | 6.90176 | − | 20.6733i | 0.534074 | − | 1.59975i | −0.242790 | − | 0.970079i | \(-0.578063\pi\) |
0.776864 | − | 0.629668i | \(-0.216809\pi\) | |||||||
\(168\) | −1.07296 | −0.0827803 | ||||||||
\(169\) | 11.8695 | + | 5.30238i | 0.913038 | + | 0.407875i | ||||
\(170\) | −27.2248 | −2.08804 | ||||||||
\(171\) | 0.255273 | − | 0.764636i | 0.0195212 | − | 0.0584732i | ||||
\(172\) | −11.8111 | + | 14.4659i | −0.900585 | + | 1.10302i | ||||
\(173\) | 1.21926 | + | 0.916214i | 0.0926985 | + | 0.0696584i | 0.646081 | − | 0.763269i | \(-0.276407\pi\) |
−0.553383 | + | 0.832927i | \(0.686663\pi\) | |||||||
\(174\) | −3.68278 | − | 14.9416i | −0.279191 | − | 1.13272i | ||||
\(175\) | −0.775268 | − | 1.22599i | −0.0586047 | − | 0.0926760i | ||||
\(176\) | 0.249405 | + | 3.08944i | 0.0187996 | + | 0.232875i | ||||
\(177\) | −7.29048 | + | 5.03226i | −0.547986 | + | 0.378247i | ||||
\(178\) | 7.11636 | + | 34.8582i | 0.533394 | + | 2.61274i | ||||
\(179\) | 1.46947 | + | 0.118628i | 0.109833 | + | 0.00886667i | 0.135261 | − | 0.990810i | \(-0.456813\pi\) |
−0.0254277 | + | 0.999677i | \(0.508095\pi\) | |||||||
\(180\) | 4.33055 | + | 0.884089i | 0.322780 | + | 0.0658961i | ||||
\(181\) | 5.01652 | − | 1.23646i | 0.372875 | − | 0.0919054i | −0.0484250 | − | 0.998827i | \(-0.515420\pi\) |
0.421300 | + | 0.906921i | \(0.361574\pi\) | |||||||
\(182\) | −3.90983 | − | 1.89698i | −0.289816 | − | 0.140614i | ||||
\(183\) | −0.676139 | − | 0.166653i | −0.0499816 | − | 0.0123194i | ||||
\(184\) | −1.50595 | − | 0.714584i | −0.111020 | − | 0.0526799i | ||||
\(185\) | 2.82403 | + | 9.74968i | 0.207627 | + | 0.716811i | ||||
\(186\) | 7.97264 | − | 0.643618i | 0.584582 | − | 0.0471924i | ||||
\(187\) | 17.3569 | + | 2.10750i | 1.26926 | + | 0.154116i | ||||
\(188\) | −3.41253 | − | 1.97022i | −0.248884 | − | 0.143693i | ||||
\(189\) | −0.213637 | + | 0.501424i | −0.0155398 | + | 0.0364732i | ||||
\(190\) | 2.24355 | + | 1.54861i | 0.162765 | + | 0.112348i | ||||
\(191\) | 6.32622 | − | 10.9573i | 0.457749 | − | 0.792845i | −0.541093 | − | 0.840963i | \(-0.681989\pi\) |
0.998842 | + | 0.0481184i | \(0.0153225\pi\) | |||||||
\(192\) | 6.41563 | + | 11.1122i | 0.463008 | + | 0.801954i | ||||
\(193\) | −0.445255 | + | 5.51548i | −0.0320502 | + | 0.397013i | 0.960766 | + | 0.277361i | \(0.0894598\pi\) |
−0.992816 | + | 0.119652i | \(0.961822\pi\) | |||||||
\(194\) | 4.64984 | − | 2.44042i | 0.333839 | − | 0.175212i | ||||
\(195\) | 4.37907 | + | 3.35052i | 0.313592 | + | 0.239936i | ||||
\(196\) | −17.1538 | − | 9.00302i | −1.22527 | − | 0.643073i | ||||
\(197\) | −6.65764 | + | 10.5282i | −0.474337 | + | 0.750104i | −0.994587 | − | 0.103910i | \(-0.966865\pi\) |
0.520249 | + | 0.854014i | \(0.325839\pi\) | |||||||
\(198\) | −4.55562 | − | 1.52089i | −0.323754 | − | 0.108085i | ||||
\(199\) | −5.49232 | + | 5.71811i | −0.389340 | + | 0.405346i | −0.886809 | − | 0.462136i | \(-0.847083\pi\) |
0.497469 | + | 0.867482i | \(0.334263\pi\) | |||||||
\(200\) | 2.43474 | − | 4.63902i | 0.172162 | − | 0.328028i | ||||
\(201\) | 6.49869 | + | 0.261888i | 0.458382 | + | 0.0184722i | ||||
\(202\) | −9.91248 | + | 8.09329i | −0.697440 | + | 0.569442i | ||||
\(203\) | −0.907695 | + | 3.68266i | −0.0637077 | + | 0.258472i | ||||
\(204\) | 22.0700 | − | 7.36805i | 1.54521 | − | 0.515867i | ||||
\(205\) | 6.64667 | − | 14.0076i | 0.464224 | − | 0.978331i | ||||
\(206\) | 16.1962 | − | 0.652684i | 1.12844 | − | 0.0454747i | ||||
\(207\) | −0.633799 | + | 0.561497i | −0.0440521 | + | 0.0390267i | ||||
\(208\) | 0.369518 | + | 5.13227i | 0.0256214 | + | 0.355859i | ||||
\(209\) | −1.31047 | − | 1.16098i | −0.0906474 | − | 0.0803066i | ||||
\(210\) | −1.42775 | − | 1.16572i | −0.0985241 | − | 0.0804425i | ||||
\(211\) | 9.17732 | − | 6.89631i | 0.631793 | − | 0.474762i | −0.235956 | − | 0.971764i | \(-0.575822\pi\) |
0.867749 | + | 0.497002i | \(0.165566\pi\) | |||||||
\(212\) | 0.188889 | − | 4.68722i | 0.0129729 | − | 0.321920i | ||||
\(213\) | 7.20614 | + | 8.13405i | 0.493757 | + | 0.557336i | ||||
\(214\) | 25.0574 | − | 11.8899i | 1.71289 | − | 0.812775i | ||||
\(215\) | −9.68169 | + | 1.97653i | −0.660286 | + | 0.134798i | ||||
\(216\) | −1.95423 | + | 0.237287i | −0.132969 | + | 0.0161453i | ||||
\(217\) | −1.81365 | − | 0.772726i | −0.123119 | − | 0.0524560i | ||||
\(218\) | −28.7727 | + | 4.67602i | −1.94873 | + | 0.316700i | ||||
\(219\) | −0.656050 | − | 4.03684i | −0.0443317 | − | 0.272784i | ||||
\(220\) | 5.45303 | − | 7.90007i | 0.367643 | − | 0.532623i | ||||
\(221\) | 28.7832 | + | 3.74867i | 1.93617 | + | 0.252163i | ||||
\(222\) | −8.33806 | − | 12.0798i | −0.559614 | − | 0.810741i | ||||
\(223\) | −3.80298 | + | 3.65281i | −0.254667 | + | 0.244611i | −0.809175 | − | 0.587567i | \(-0.800086\pi\) |
0.554509 | + | 0.832178i | \(0.312906\pi\) | |||||||
\(224\) | −0.155668 | − | 3.86286i | −0.0104010 | − | 0.258099i | ||||
\(225\) | −1.68317 | − | 2.06151i | −0.112211 | − | 0.137434i | ||||
\(226\) | 33.4180 | − | 12.6738i | 2.22294 | − | 0.843048i | ||||
\(227\) | −8.80889 | + | 11.7225i | −0.584667 | + | 0.778050i | −0.990737 | − | 0.135792i | \(-0.956642\pi\) |
0.406071 | + | 0.913842i | \(0.366899\pi\) | |||||||
\(228\) | −2.23787 | − | 0.648207i | −0.148207 | − | 0.0429286i | ||||
\(229\) | −5.72133 | − | 10.9011i | −0.378076 | − | 0.720363i | 0.619851 | − | 0.784719i | \(-0.287193\pi\) |
−0.997927 | + | 0.0643561i | \(0.979501\pi\) | |||||||
\(230\) | −1.22756 | − | 2.58704i | −0.0809431 | − | 0.170584i | ||||
\(231\) | 0.820007 | + | 0.853717i | 0.0539525 | + | 0.0561705i | ||||
\(232\) | −13.1584 | + | 3.81136i | −0.863888 | + | 0.250228i | ||||
\(233\) | 8.88517 | − | 23.4283i | 0.582087 | − | 1.53484i | −0.243115 | − | 0.969998i | \(-0.578169\pi\) |
0.825201 | − | 0.564839i | \(-0.191062\pi\) | |||||||
\(234\) | −7.54072 | − | 2.59041i | −0.492952 | − | 0.169341i | ||||
\(235\) | −0.739337 | − | 1.94947i | −0.0482290 | − | 0.127169i | ||||
\(236\) | 15.3809 | + | 20.4683i | 1.00121 | + | 1.33237i | ||||
\(237\) | −10.2518 | − | 6.48287i | −0.665929 | − | 0.421108i | ||||
\(238\) | −9.57744 | − | 1.55649i | −0.620813 | − | 0.100892i | ||||
\(239\) | 3.97021i | 0.256812i | 0.991722 | + | 0.128406i | \(0.0409860\pi\) | ||||
−0.991722 | + | 0.128406i | \(0.959014\pi\) | |||||||
\(240\) | −0.350087 | + | 2.15417i | −0.0225980 | + | 0.139051i | ||||
\(241\) | 3.90573 | + | 3.75151i | 0.251591 | + | 0.241656i | 0.807901 | − | 0.589319i | \(-0.200604\pi\) |
−0.556310 | + | 0.830975i | \(0.687783\pi\) | |||||||
\(242\) | 9.21360 | − | 10.4000i | 0.592273 | − | 0.668538i | ||||
\(243\) | −0.278217 | + | 0.960518i | −0.0178477 | + | 0.0616173i | ||||
\(244\) | −0.402585 | + | 1.97199i | −0.0257729 | + | 0.126244i | ||||
\(245\) | −4.01786 | − | 9.43027i | −0.256692 | − | 0.602478i | ||||
\(246\) | −2.70247 | + | 22.2568i | −0.172303 | + | 1.41904i | ||||
\(247\) | −2.15875 | − | 1.94618i | −0.137358 | − | 0.123833i | ||||
\(248\) | −0.858267 | − | 7.06847i | −0.0545000 | − | 0.448848i | ||||
\(249\) | 3.65975 | − | 2.11296i | 0.231927 | − | 0.133903i | ||||
\(250\) | 23.8358 | − | 10.1555i | 1.50751 | − | 0.642288i | ||||
\(251\) | 1.06765 | − | 0.675138i | 0.0673892 | − | 0.0426143i | −0.500346 | − | 0.865825i | \(-0.666794\pi\) |
0.567736 | + | 0.823211i | \(0.307820\pi\) | |||||||
\(252\) | 1.47291 | + | 0.558600i | 0.0927844 | + | 0.0351885i | ||||
\(253\) | 0.582354 | + | 1.74436i | 0.0366123 | + | 0.109667i | ||||
\(254\) | −14.7000 | − | 44.0319i | −0.922360 | − | 2.76281i | ||||
\(255\) | 11.5112 | + | 4.36561i | 0.720858 | + | 0.273385i | ||||
\(256\) | 4.82941 | − | 3.05393i | 0.301838 | − | 0.190871i | ||||
\(257\) | 7.45339 | − | 3.17559i | 0.464930 | − | 0.198088i | −0.146782 | − | 0.989169i | \(-0.546892\pi\) |
0.611712 | + | 0.791081i | \(0.290481\pi\) | |||||||
\(258\) | 12.3746 | − | 7.14448i | 0.770409 | − | 0.444796i | ||||
\(259\) | 0.436064 | + | 3.59131i | 0.0270957 | + | 0.223153i | ||||
\(260\) | 9.16621 | − | 13.0361i | 0.568464 | − | 0.808464i | ||||
\(261\) | −0.838805 | + | 6.90818i | −0.0519207 | + | 0.427605i | ||||
\(262\) | −13.9430 | − | 32.7255i | −0.861402 | − | 2.02179i | ||||
\(263\) | −0.276174 | + | 1.35279i | −0.0170296 | + | 0.0834166i | −0.987417 | − | 0.158136i | \(-0.949452\pi\) |
0.970388 | + | 0.241553i | \(0.0776567\pi\) | |||||||
\(264\) | −1.18951 | + | 4.10667i | −0.0732093 | + | 0.252748i | ||||
\(265\) | 1.64594 | − | 1.85788i | 0.101109 | − | 0.114129i | ||||
\(266\) | 0.700727 | + | 0.673057i | 0.0429643 | + | 0.0412678i | ||||
\(267\) | 2.58073 | − | 15.8799i | 0.157938 | − | 0.971834i | ||||
\(268\) | − | 18.7978i | − | 1.14826i | ||||||
\(269\) | −4.86402 | − | 0.790480i | −0.296564 | − | 0.0481964i | 0.0103087 | − | 0.999947i | \(-0.496719\pi\) |
−0.306873 | + | 0.951750i | \(0.599283\pi\) | |||||||
\(270\) | −2.85824 | − | 1.80744i | −0.173947 | − | 0.109997i | ||||
\(271\) | −9.74755 | − | 12.9716i | −0.592121 | − | 0.787970i | 0.399557 | − | 0.916708i | \(-0.369164\pi\) |
−0.991679 | + | 0.128738i | \(0.958907\pi\) | |||||||
\(272\) | 4.07403 | + | 10.7423i | 0.247025 | + | 0.651350i | ||||
\(273\) | 1.34897 | + | 1.42904i | 0.0816431 | + | 0.0864896i | ||||
\(274\) | 7.67683 | − | 20.2421i | 0.463774 | − | 1.22287i | ||||
\(275\) | −5.55188 | + | 1.60812i | −0.334791 | + | 0.0969733i | ||||
\(276\) | 1.69528 | + | 1.76498i | 0.102044 | + | 0.106239i | ||||
\(277\) | 3.21418 | + | 6.77374i | 0.193121 | + | 0.406995i | 0.976794 | − | 0.214179i | \(-0.0687075\pi\) |
−0.783673 | + | 0.621173i | \(0.786656\pi\) | |||||||
\(278\) | −12.9639 | − | 24.7007i | −0.777524 | − | 1.48145i | ||||
\(279\) | −3.47420 | − | 1.00631i | −0.207995 | − | 0.0602464i | ||||
\(280\) | −0.985714 | + | 1.31175i | −0.0589077 | + | 0.0783919i | ||||
\(281\) | 12.5192 | − | 4.74792i | 0.746835 | − | 0.283237i | 0.0483193 | − | 0.998832i | \(-0.484614\pi\) |
0.698516 | + | 0.715595i | \(0.253844\pi\) | |||||||
\(282\) | 1.90679 | + | 2.33540i | 0.113548 | + | 0.139071i | ||||
\(283\) | 0.140545 | + | 3.48758i | 0.00835452 | + | 0.207315i | 0.997975 | + | 0.0636090i | \(0.0202611\pi\) |
−0.989620 | + | 0.143706i | \(0.954098\pi\) | |||||||
\(284\) | 22.6514 | − | 21.7570i | 1.34411 | − | 1.29104i | ||||
\(285\) | −0.700293 | − | 1.01455i | −0.0414818 | − | 0.0600967i | ||||
\(286\) | −11.5952 | + | 12.8616i | −0.685636 | + | 0.760522i | ||||
\(287\) | 3.13908 | − | 4.54774i | 0.185294 | − | 0.268445i | ||||
\(288\) | −1.13781 | − | 7.00122i | −0.0670461 | − | 0.412551i | ||||
\(289\) | 47.1904 | − | 7.66919i | 2.77591 | − | 0.451129i | ||||
\(290\) | −21.6503 | − | 9.22434i | −1.27135 | − | 0.541672i | ||||
\(291\) | −2.35738 | + | 0.286238i | −0.138192 | + | 0.0167795i | ||||
\(292\) | −11.5815 | + | 2.36438i | −0.677755 | + | 0.138365i | ||||
\(293\) | 4.84119 | − | 2.29717i | 0.282825 | − | 0.134202i | −0.281996 | − | 0.959416i | \(-0.590996\pi\) |
0.564821 | + | 0.825213i | \(0.308945\pi\) | |||||||
\(294\) | 9.82929 | + | 11.0950i | 0.573256 | + | 0.647072i | ||||
\(295\) | −0.545486 | + | 13.5361i | −0.0317594 | + | 0.788102i | ||||
\(296\) | −10.4459 | + | 7.84958i | −0.607155 | + | 0.456248i | ||||
\(297\) | 1.68233 | + | 1.37358i | 0.0976184 | + | 0.0797030i | ||||
\(298\) | 17.3629 | + | 15.3822i | 1.00580 | + | 0.891065i | ||||
\(299\) | 0.941615 | + | 2.90415i | 0.0544550 | + | 0.167951i | ||||
\(300\) | −5.75747 | + | 5.10067i | −0.332408 | + | 0.294487i | ||||
\(301\) | −3.51894 | + | 0.141808i | −0.202828 | + | 0.00817370i | ||||
\(302\) | −5.55594 | + | 11.7089i | −0.319708 | + | 0.673771i | ||||
\(303\) | 5.48899 | − | 1.83249i | 0.315334 | − | 0.105274i | ||||
\(304\) | 0.275316 | − | 1.11700i | 0.0157905 | − | 0.0640645i | ||||
\(305\) | −0.824906 | + | 0.673515i | −0.0472340 | + | 0.0385653i | ||||
\(306\) | −17.7881 | − | 0.716838i | −1.01688 | − | 0.0409789i | ||||
\(307\) | −8.52822 | + | 16.2492i | −0.486731 | + | 0.927388i | 0.510969 | + | 0.859599i | \(0.329287\pi\) |
−0.997700 | + | 0.0677891i | \(0.978406\pi\) | |||||||
\(308\) | 2.36999 | − | 2.46742i | 0.135043 | − | 0.140594i | ||||
\(309\) | −6.95274 | − | 2.32116i | −0.395527 | − | 0.132046i | ||||
\(310\) | 6.53753 | − | 10.3383i | 0.371307 | − | 0.587175i | ||||
\(311\) | 9.88550 | + | 5.18831i | 0.560555 | + | 0.294202i | 0.721105 | − | 0.692826i | \(-0.243634\pi\) |
−0.160550 | + | 0.987028i | \(0.551327\pi\) | |||||||
\(312\) | −2.03384 | + | 6.80021i | −0.115143 | + | 0.384986i | ||||
\(313\) | −11.3672 | + | 5.96599i | −0.642514 | + | 0.337218i | −0.754315 | − | 0.656513i | \(-0.772031\pi\) |
0.111800 | + | 0.993731i | \(0.464338\pi\) | |||||||
\(314\) | −1.59319 | + | 19.7352i | −0.0899088 | + | 1.11372i | ||||
\(315\) | 0.416753 | + | 0.721837i | 0.0234813 | + | 0.0406709i | ||||
\(316\) | −17.5286 | + | 30.3604i | −0.986059 | + | 1.70790i | ||||
\(317\) | −20.0401 | − | 13.8327i | −1.12557 | − | 0.776921i | −0.148300 | − | 0.988942i | \(-0.547380\pi\) |
−0.977265 | + | 0.212021i | \(0.931995\pi\) | |||||||
\(318\) | −1.40686 | + | 3.30203i | −0.0788929 | + | 0.185169i | ||||
\(319\) | 13.0889 | + | 7.55686i | 0.732836 | + | 0.423103i | ||||
\(320\) | 19.4793 | + | 2.36521i | 1.08892 | + | 0.132219i | ||||
\(321\) | −12.5014 | + | 1.00921i | −0.697758 | + | 0.0563288i | ||||
\(322\) | −0.283941 | − | 0.980279i | −0.0158234 | − | 0.0546288i | ||||
\(323\) | −5.86306 | − | 2.78206i | −0.326229 | − | 0.154798i | ||||
\(324\) | 2.80622 | + | 0.691672i | 0.155901 | + | 0.0384262i | ||||
\(325\) | −9.23966 | + | 2.58960i | −0.512524 | + | 0.143645i | ||||
\(326\) | −22.3341 | + | 5.50486i | −1.23697 | + | 0.304886i | ||||
\(327\) | 12.9155 | + | 2.63672i | 0.714229 | + | 0.145811i | ||||
\(328\) | 19.8940 | + | 1.60601i | 1.09846 | + | 0.0886768i | ||||
\(329\) | −0.148638 | − | 0.728076i | −0.00819467 | − | 0.0401402i | ||||
\(330\) | −6.04458 | + | 4.17227i | −0.332743 | + | 0.229676i | ||||
\(331\) | −1.60475 | − | 19.8784i | −0.0882052 | − | 1.09262i | −0.877812 | − | 0.479004i | \(-0.840998\pi\) |
0.789607 | − | 0.613612i | \(-0.210284\pi\) | |||||||
\(332\) | −6.52784 | − | 10.3229i | −0.358262 | − | 0.566545i | ||||
\(333\) | 1.58846 | + | 6.44462i | 0.0870468 | + | 0.353163i | ||||
\(334\) | 38.5307 | + | 28.9539i | 2.10830 | + | 1.58429i | ||||
\(335\) | 6.29046 | − | 7.70441i | 0.343684 | − | 0.420937i | ||||
\(336\) | −0.246315 | + | 0.737805i | −0.0134376 | + | 0.0402506i | ||||
\(337\) | 30.9774 | 1.68744 | 0.843722 | − | 0.536780i | \(-0.180360\pi\) | ||||
0.843722 | + | 0.536780i | \(0.180360\pi\) | |||||||
\(338\) | −19.4340 | + | 21.1840i | −1.05707 | + | 1.15226i | ||||
\(339\) | −16.1621 | −0.877806 | ||||||||
\(340\) | 11.2677 | − | 33.7508i | 0.611075 | − | 1.83039i | ||||
\(341\) | −4.96823 | + | 6.08498i | −0.269045 | + | 0.329520i | ||||
\(342\) | 1.42512 | + | 1.07091i | 0.0770617 | + | 0.0579081i | ||||
\(343\) | −1.78736 | − | 7.25160i | −0.0965083 | − | 0.391550i | ||||
\(344\) | −6.79847 | − | 10.7509i | −0.366549 | − | 0.579651i | ||||
\(345\) | 0.104196 | + | 1.29070i | 0.00560971 | + | 0.0694887i | ||||
\(346\) | −2.77564 | + | 1.91589i | −0.149219 | + | 0.102999i | ||||
\(347\) | 3.85800 | + | 18.8977i | 0.207108 | + | 1.01448i | 0.941824 | + | 0.336107i | \(0.109110\pi\) |
−0.734716 | + | 0.678375i | \(0.762684\pi\) | |||||||
\(348\) | 20.0475 | + | 1.61840i | 1.07466 | + | 0.0867554i | ||||
\(349\) | −14.5193 | − | 2.96414i | −0.777200 | − | 0.158667i | −0.204980 | − | 0.978766i | \(-0.565713\pi\) |
−0.572221 | + | 0.820100i | \(0.693918\pi\) | |||||||
\(350\) | 3.11450 | − | 0.767656i | 0.166477 | − | 0.0410329i | ||||
\(351\) | 2.77298 | + | 2.30447i | 0.148011 | + | 0.123003i | ||||
\(352\) | −14.9575 | − | 3.68668i | −0.797235 | − | 0.196501i | ||||
\(353\) | −9.53796 | − | 4.52582i | −0.507654 | − | 0.240885i | 0.157598 | − | 0.987503i | \(-0.449625\pi\) |
−0.665253 | + | 0.746618i | \(0.731676\pi\) | |||||||
\(354\) | −5.45020 | − | 18.8163i | −0.289675 | − | 1.00007i | ||||
\(355\) | 16.5645 | − | 1.33723i | 0.879155 | − | 0.0709727i | ||||
\(356\) | −46.1593 | − | 5.60475i | −2.44644 | − | 0.297051i | ||||
\(357\) | 3.79994 | + | 2.19390i | 0.201114 | + | 0.116113i | ||||
\(358\) | −1.27786 | + | 2.99925i | −0.0675371 | + | 0.158515i | ||||
\(359\) | 5.90429 | + | 4.07544i | 0.311617 | + | 0.215093i | 0.713600 | − | 0.700554i | \(-0.247064\pi\) |
−0.401983 | + | 0.915647i | \(0.631679\pi\) | |||||||
\(360\) | −1.50524 | + | 2.60715i | −0.0793331 | + | 0.137409i | ||||
\(361\) | −9.17508 | − | 15.8917i | −0.482899 | − | 0.836406i | ||||
\(362\) | −0.919365 | + | 11.3884i | −0.0483208 | + | 0.598560i | ||||
\(363\) | −5.56338 | + | 2.91989i | −0.292002 | + | 0.153254i | ||||
\(364\) | 3.96989 | − | 4.06194i | 0.208079 | − | 0.212903i | ||||
\(365\) | −5.53796 | − | 2.90655i | −0.289870 | − | 0.152136i | ||||
\(366\) | 0.823050 | − | 1.30155i | 0.0430215 | − | 0.0680331i | ||||
\(367\) | −29.4453 | − | 9.83029i | −1.53703 | − | 0.513137i | −0.582906 | − | 0.812540i | \(-0.698084\pi\) |
−0.954127 | + | 0.299403i | \(0.903212\pi\) | |||||||
\(368\) | −0.837094 | + | 0.871507i | −0.0436365 | + | 0.0454304i | ||||
\(369\) | 4.71163 | − | 8.97727i | 0.245278 | − | 0.467338i | ||||
\(370\) | −22.4283 | − | 0.903829i | −1.16599 | − | 0.0469878i | ||||
\(371\) | 0.685246 | − | 0.559486i | 0.0355762 | − | 0.0290471i | ||||
\(372\) | −2.50178 | + | 10.1501i | −0.129711 | + | 0.526259i | ||||
\(373\) | −2.31463 | + | 0.772735i | −0.119847 | + | 0.0400107i | −0.375959 | − | 0.926636i | \(-0.622687\pi\) |
0.256112 | + | 0.966647i | \(0.417558\pi\) | |||||||
\(374\) | −16.5752 | + | 34.9315i | −0.857083 | + | 1.80626i | ||||
\(375\) | −11.7067 | + | 0.471764i | −0.604532 | + | 0.0243618i | ||||
\(376\) | 2.00895 | − | 1.77977i | 0.103604 | − | 0.0917848i | ||||
\(377\) | 21.6195 | + | 12.7335i | 1.11346 | + | 0.655807i | ||||
\(378\) | −0.902171 | − | 0.799254i | −0.0464027 | − | 0.0411092i | ||||
\(379\) | −14.3203 | − | 11.6922i | −0.735587 | − | 0.600588i | 0.188813 | − | 0.982013i | \(-0.439536\pi\) |
−0.924400 | + | 0.381425i | \(0.875433\pi\) | |||||||
\(380\) | −2.84838 | + | 2.14042i | −0.146119 | + | 0.109801i | ||||
\(381\) | −0.845254 | + | 20.9748i | −0.0433037 | + | 1.07457i | ||||
\(382\) | 18.5537 | + | 20.9429i | 0.949292 | + | 1.07153i | ||||
\(383\) | −9.61786 | + | 4.56373i | −0.491450 | + | 0.233196i | −0.658256 | − | 0.752794i | \(-0.728706\pi\) |
0.166807 | + | 0.985990i | \(0.446654\pi\) | |||||||
\(384\) | −13.9019 | + | 2.83809i | −0.709428 | + | 0.144831i | ||||
\(385\) | 1.79705 | − | 0.218201i | 0.0915861 | − | 0.0111206i | ||||
\(386\) | −11.2573 | − | 4.79630i | −0.572983 | − | 0.244125i | ||||
\(387\) | −6.37788 | + | 1.03651i | −0.324206 | + | 0.0526886i | ||||
\(388\) | 1.10096 | + | 6.77447i | 0.0558927 | + | 0.343922i | ||||
\(389\) | 21.2565 | − | 30.7954i | 1.07775 | − | 1.56139i | 0.278456 | − | 0.960449i | \(-0.410177\pi\) |
0.799294 | − | 0.600941i | \(-0.205207\pi\) | |||||||
\(390\) | −10.0945 | + | 6.83916i | −0.511155 | + | 0.346314i | ||||
\(391\) | 3.87231 | + | 5.61002i | 0.195831 | + | 0.283711i | ||||
\(392\) | 9.51648 | − | 9.14070i | 0.480655 | − | 0.461675i | ||||
\(393\) | 0.647712 | + | 16.0728i | 0.0326727 | + | 0.810766i | ||||
\(394\) | −17.4216 | − | 21.3375i | −0.877685 | − | 1.07497i | ||||
\(395\) | −17.3439 | + | 6.57769i | −0.872668 | + | 0.330959i | ||||
\(396\) | 3.77092 | − | 5.01818i | 0.189496 | − | 0.252173i | ||||
\(397\) | −7.93675 | − | 2.29891i | −0.398334 | − | 0.115379i | 0.0730037 | − | 0.997332i | \(-0.476742\pi\) |
−0.471338 | + | 0.881953i | \(0.656229\pi\) | |||||||
\(398\) | −8.14804 | − | 15.5248i | −0.408425 | − | 0.778188i | ||||
\(399\) | −0.188354 | − | 0.396947i | −0.00942947 | − | 0.0198722i | ||||
\(400\) | −2.63103 | − | 2.73919i | −0.131551 | − | 0.136959i | ||||
\(401\) | 33.9554 | − | 9.83530i | 1.69565 | − | 0.491151i | 0.717068 | − | 0.697003i | \(-0.245484\pi\) |
0.978583 | + | 0.205852i | \(0.0659966\pi\) | |||||||
\(402\) | −5.10019 | + | 13.4481i | −0.254374 | + | 0.670730i | ||||
\(403\) | −8.33527 | + | 10.0299i | −0.415209 | + | 0.499624i | ||||
\(404\) | −5.93078 | − | 15.6382i | −0.295068 | − | 0.778029i | ||||
\(405\) | 0.918691 | + | 1.22256i | 0.0456501 | + | 0.0607493i | ||||
\(406\) | −7.08903 | − | 4.48283i | −0.351823 | − | 0.222479i | ||||
\(407\) | 14.2289 | + | 2.31243i | 0.705303 | + | 0.114623i | ||||
\(408\) | 15.8480i | 0.784592i | ||||||||
\(409\) | −4.16185 | + | 25.6089i | −0.205790 | + | 1.26628i | 0.654339 | + | 0.756202i | \(0.272947\pi\) |
−0.860129 | + | 0.510077i | \(0.829617\pi\) | |||||||
\(410\) | 24.7274 | + | 23.7510i | 1.22120 | + | 1.17298i | ||||
\(411\) | −6.49183 | + | 7.32777i | −0.320219 | + | 0.361452i | ||||
\(412\) | −5.89407 | + | 20.3487i | −0.290380 | + | 1.00251i | ||||
\(413\) | −0.965779 | + | 4.73070i | −0.0475229 | + | 0.232782i | ||||
\(414\) | −0.733949 | − | 1.72264i | −0.0360716 | − | 0.0846632i | ||||
\(415\) | 0.778970 | − | 6.41540i | 0.0382381 | − | 0.314919i | ||||
\(416\) | −24.7773 | − | 6.33564i | −1.21480 | − | 0.310630i | ||||
\(417\) | 1.52054 | + | 12.5228i | 0.0744611 | + | 0.613242i | ||||
\(418\) | 3.35293 | − | 1.93582i | 0.163997 | − | 0.0946838i | ||||
\(419\) | −10.4586 | + | 4.45598i | −0.510934 | + | 0.217689i | −0.632018 | − | 0.774954i | \(-0.717773\pi\) |
0.121084 | + | 0.992642i | \(0.461363\pi\) | |||||||
\(420\) | 2.03606 | − | 1.28753i | 0.0993498 | − | 0.0628250i | ||||
\(421\) | −6.35693 | − | 2.41087i | −0.309818 | − | 0.117498i | 0.194795 | − | 0.980844i | \(-0.437596\pi\) |
−0.504613 | + | 0.863345i | \(0.668365\pi\) | |||||||
\(422\) | 8.03889 | + | 24.0794i | 0.391327 | + | 1.17217i | ||||
\(423\) | −0.431738 | − | 1.29321i | −0.0209918 | − | 0.0628782i | ||||
\(424\) | 2.98753 | + | 1.13302i | 0.145087 | + | 0.0550244i | ||||
\(425\) | −18.1083 | + | 11.4510i | −0.878383 | + | 0.555456i | ||||
\(426\) | −22.1081 | + | 9.41937i | −1.07114 | + | 0.456370i | ||||
\(427\) | −0.328701 | + | 0.189775i | −0.0159069 | + | 0.00918388i | ||||
\(428\) | 4.36934 | + | 35.9848i | 0.211200 | + | 1.73939i | ||||
\(429\) | 6.96508 | − | 3.57880i | 0.336277 | − | 0.172786i | ||||
\(430\) | 2.63391 | − | 21.6922i | 0.127018 | − | 1.04609i | ||||
\(431\) | −8.08820 | − | 18.9837i | −0.389595 | − | 0.914413i | −0.993123 | − | 0.117072i | \(-0.962649\pi\) |
0.603529 | − | 0.797341i | \(-0.293761\pi\) | |||||||
\(432\) | −0.285461 | + | 1.39828i | −0.0137342 | + | 0.0672747i | ||||
\(433\) | 0.970380 | − | 3.35014i | 0.0466335 | − | 0.160997i | −0.933822 | − | 0.357737i | \(-0.883548\pi\) |
0.980456 | + | 0.196740i | \(0.0630355\pi\) | |||||||
\(434\) | 2.89090 | − | 3.26316i | 0.138768 | − | 0.156636i | ||||
\(435\) | 7.67503 | + | 7.37196i | 0.367989 | + | 0.353459i | ||||
\(436\) | 6.11142 | − | 37.6051i | 0.292684 | − | 1.80096i | ||||
\(437\) | − | 0.682580i | − | 0.0326523i | ||||||
\(438\) | 8.92698 | + | 1.45078i | 0.426548 | + | 0.0693207i | ||||
\(439\) | −25.7301 | − | 16.2707i | −1.22803 | − | 0.776560i | −0.246739 | − | 0.969082i | \(-0.579359\pi\) |
−0.981293 | + | 0.192522i | \(0.938333\pi\) | |||||||
\(440\) | 3.92784 | + | 5.22700i | 0.187252 | + | 0.249187i | ||||
\(441\) | −2.37689 | − | 6.26735i | −0.113185 | − | 0.298445i | ||||
\(442\) | −28.0192 | + | 57.7498i | −1.33274 | + | 2.74688i | ||||
\(443\) | −6.63565 | + | 17.4968i | −0.315269 | + | 0.831297i | 0.679916 | + | 0.733290i | \(0.262016\pi\) |
−0.995186 | + | 0.0980071i | \(0.968753\pi\) | |||||||
\(444\) | 18.4263 | − | 5.33724i | 0.874474 | − | 0.253294i | ||||
\(445\) | −17.0432 | − | 17.7438i | −0.807923 | − | 0.841137i | ||||
\(446\) | −4.99893 | − | 10.5350i | −0.236706 | − | 0.498847i | ||||
\(447\) | −4.87477 | − | 9.28810i | −0.230569 | − | 0.439312i | ||||
\(448\) | 6.71741 | + | 1.94572i | 0.317368 | + | 0.0919267i | ||||
\(449\) | 16.6917 | − | 22.2126i | 0.787731 | − | 1.04828i | −0.209779 | − | 0.977749i | \(-0.567274\pi\) |
0.997510 | − | 0.0705302i | \(-0.0224691\pi\) | |||||||
\(450\) | 5.50285 | − | 2.08695i | 0.259407 | − | 0.0983800i | ||||
\(451\) | −13.9261 | − | 17.0564i | −0.655755 | − | 0.803154i | ||||
\(452\) | 1.88090 | + | 46.6740i | 0.0884699 | + | 2.19536i | ||||
\(453\) | 4.22674 | − | 4.05983i | 0.198589 | − | 0.190748i | ||||
\(454\) | −18.4202 | − | 26.6863i | −0.864503 | − | 1.25245i | ||||
\(455\) | 2.98637 | − | 0.336337i | 0.140003 | − | 0.0157677i | ||||
\(456\) | 0.901473 | − | 1.30601i | 0.0422153 | − | 0.0611595i | ||||
\(457\) | 3.36682 | + | 20.7169i | 0.157493 | + | 0.969094i | 0.938678 | + | 0.344795i | \(0.112051\pi\) |
−0.781185 | + | 0.624300i | \(0.785384\pi\) | |||||||
\(458\) | 26.8723 | − | 4.36718i | 1.25566 | − | 0.204065i | ||||
\(459\) | 7.40624 | + | 3.15550i | 0.345694 | + | 0.147286i | ||||
\(460\) | 3.71523 | − | 0.451110i | 0.173223 | − | 0.0210331i | ||||
\(461\) | −4.41192 | + | 0.900701i | −0.205484 | + | 0.0419498i | −0.301665 | − | 0.953414i | \(-0.597542\pi\) |
0.0961810 | + | 0.995364i | \(0.469337\pi\) | |||||||
\(462\) | −2.36497 | + | 1.12219i | −0.110028 | + | 0.0522090i | ||||
\(463\) | −19.3289 | − | 21.8178i | −0.898289 | − | 1.01396i | −0.999817 | − | 0.0191257i | \(-0.993912\pi\) |
0.101528 | − | 0.994833i | \(-0.467627\pi\) | |||||||
\(464\) | −0.399889 | + | 9.92315i | −0.0185644 | + | 0.460671i | ||||
\(465\) | −4.42199 | + | 3.32291i | −0.205065 | + | 0.154096i | ||||
\(466\) | 42.9205 | + | 35.0435i | 1.98825 | + | 1.62336i | ||||
\(467\) | 2.24027 | + | 1.98471i | 0.103667 | + | 0.0918414i | 0.713364 | − | 0.700793i | \(-0.247170\pi\) |
−0.609697 | + | 0.792635i | \(0.708709\pi\) | |||||||
\(468\) | 6.33227 | − | 8.27618i | 0.292709 | − | 0.382567i | ||||
\(469\) | 2.65340 | − | 2.35071i | 0.122523 | − | 0.108546i | ||||
\(470\) | 4.60690 | − | 0.185652i | 0.212500 | − | 0.00856348i | ||||
\(471\) | 3.83826 | − | 8.08895i | 0.176857 | − | 0.372719i | ||||
\(472\) | −16.5414 | + | 5.52234i | −0.761381 | + | 0.254186i | ||||
\(473\) | −3.35844 | + | 13.6257i | −0.154421 | + | 0.626512i | ||||
\(474\) | 20.7774 | − | 16.9642i | 0.954338 | − | 0.779193i | ||||
\(475\) | 2.14364 | + | 0.0863859i | 0.0983572 | + | 0.00396366i | ||||
\(476\) | 5.89345 | − | 11.2290i | 0.270126 | − | 0.514682i | ||||
\(477\) | 1.12434 | − | 1.17057i | 0.0514802 | − | 0.0535966i | ||||
\(478\) | −8.32782 | − | 2.78024i | −0.380906 | − | 0.127165i | ||||
\(479\) | −16.5406 | + | 26.1568i | −0.755758 | + | 1.19514i | 0.219832 | + | 0.975538i | \(0.429449\pi\) |
−0.975590 | + | 0.219598i | \(0.929525\pi\) | |||||||
\(480\) | −9.60468 | − | 5.04092i | −0.438392 | − | 0.230086i | ||||
\(481\) | 23.5877 | + | 4.04379i | 1.07551 | + | 0.184381i | ||||
\(482\) | −10.6042 | + | 5.56549i | −0.483006 | + | 0.253501i | ||||
\(483\) | −0.0371361 | + | 0.460013i | −0.00168975 | + | 0.0209313i | ||||
\(484\) | 9.07968 | + | 15.7265i | 0.412713 | + | 0.714840i | ||||
\(485\) | −1.81576 | + | 3.14499i | −0.0824494 | + | 0.142807i | ||||
\(486\) | −1.81993 | − | 1.25621i | −0.0825537 | − | 0.0569827i | ||||
\(487\) | 13.4791 | − | 31.6367i | 0.610798 | − | 1.43360i | −0.271284 | − | 0.962499i | \(-0.587448\pi\) |
0.882082 | − | 0.471096i | \(-0.156142\pi\) | |||||||
\(488\) | −1.18721 | − | 0.685437i | −0.0537425 | − | 0.0310283i | ||||
\(489\) | 10.3260 | + | 1.25381i | 0.466960 | + | 0.0566992i | ||||
\(490\) | 22.5943 | − | 1.82400i | 1.02071 | − | 0.0824000i | ||||
\(491\) | −11.9638 | − | 41.3037i | −0.539917 | − | 1.86401i | −0.502257 | − | 0.864718i | \(-0.667497\pi\) |
−0.0376592 | − | 0.999291i | \(-0.511990\pi\) | |||||||
\(492\) | −26.4734 | − | 12.5618i | −1.19352 | − | 0.566330i | ||||
\(493\) | 54.3944 | + | 13.4070i | 2.44980 | + | 0.603822i | ||||
\(494\) | 5.59398 | − | 3.16527i | 0.251685 | − | 0.142412i | ||||
\(495\) | 3.22481 | − | 0.794844i | 0.144944 | − | 0.0357256i | ||||
\(496\) | −5.05758 | − | 1.03251i | −0.227092 | − | 0.0463612i | ||||
\(497\) | 5.90372 | + | 0.476597i | 0.264818 | + | 0.0213783i | ||||
\(498\) | 1.86926 | + | 9.15624i | 0.0837636 | + | 0.410301i | ||||
\(499\) | 7.03928 | − | 4.85886i | 0.315121 | − | 0.217513i | −0.399996 | − | 0.916517i | \(-0.630989\pi\) |
0.715118 | + | 0.699004i | \(0.246373\pi\) | |||||||
\(500\) | 2.72478 | + | 33.7525i | 0.121856 | + | 1.50946i | ||||
\(501\) | −11.6486 | − | 18.4209i | −0.520423 | − | 0.822983i | ||||
\(502\) | 0.668509 | + | 2.71225i | 0.0298370 | + | 0.121054i | ||||
\(503\) | −26.9207 | − | 20.2296i | −1.20034 | − | 0.901994i | −0.203315 | − | 0.979113i | \(-0.565171\pi\) |
−0.997022 | + | 0.0771190i | \(0.975428\pi\) | |||||||
\(504\) | −0.678585 | + | 0.831116i | −0.0302266 | + | 0.0370209i | ||||
\(505\) | 2.80236 | − | 8.39409i | 0.124703 | − | 0.373532i | ||||
\(506\) | −4.06674 | −0.180789 | ||||||||
\(507\) | 11.6141 | − | 5.84070i | 0.515798 | − | 0.259395i | ||||
\(508\) | 60.6706 | 2.69182 | ||||||||
\(509\) | 13.2461 | − | 39.6769i | 0.587122 | − | 1.75865i | −0.0621251 | − | 0.998068i | \(-0.519788\pi\) |
0.649247 | − | 0.760577i | \(-0.275084\pi\) | |||||||
\(510\) | −17.2182 | + | 21.0884i | −0.762434 | + | 0.933812i | ||||
\(511\) | −1.78204 | − | 1.33911i | −0.0788326 | − | 0.0592389i | ||||
\(512\) | −3.76718 | − | 15.2841i | −0.166488 | − | 0.675467i | ||||
\(513\) | −0.430844 | − | 0.681326i | −0.0190222 | − | 0.0300813i | ||||
\(514\) | 1.44163 | + | 17.8578i | 0.0635878 | + | 0.787676i | ||||
\(515\) | −9.22517 | + | 6.36767i | −0.406509 | + | 0.280593i | ||||
\(516\) | 3.73552 | + | 18.2978i | 0.164447 | + | 0.805516i | ||||
\(517\) | −2.95145 | − | 0.238266i | −0.129805 | − | 0.0104789i | ||||
\(518\) | −7.83841 | − | 1.60022i | −0.344400 | − | 0.0703097i | ||||
\(519\) | 1.48082 | − | 0.364989i | 0.0650007 | − | 0.0160212i | ||||
\(520\) | 6.44516 | + | 8.73376i | 0.282639 | + | 0.383001i | ||||
\(521\) | 27.8543 | + | 6.86546i | 1.22032 | + | 0.300781i | 0.796316 | − | 0.604880i | \(-0.206779\pi\) |
0.424001 | + | 0.905662i | \(0.360625\pi\) | |||||||
\(522\) | −13.9030 | − | 6.59707i | −0.608519 | − | 0.288746i | ||||
\(523\) | −1.76115 | − | 6.08018i | −0.0770095 | − | 0.265868i | 0.912770 | − | 0.408474i | \(-0.133939\pi\) |
−0.989780 | + | 0.142606i | \(0.954452\pi\) | |||||||
\(524\) | 46.3407 | − | 3.74101i | 2.02440 | − | 0.163427i | ||||
\(525\) | −1.43997 | − | 0.174844i | −0.0628455 | − | 0.00763082i | ||||
\(526\) | −2.64418 | − | 1.52662i | −0.115292 | − | 0.0665637i | ||||
\(527\) | −11.4135 | + | 26.7884i | −0.497178 | + | 1.16692i | ||||
\(528\) | 2.55083 | + | 1.76071i | 0.111011 | + | 0.0766251i | ||||
\(529\) | 11.1415 | − | 19.2977i | 0.484413 | − | 0.839029i | ||||
\(530\) | 2.74444 | + | 4.75351i | 0.119211 | + | 0.206479i | ||||
\(531\) | −0.712821 | + | 8.82987i | −0.0309338 | + | 0.383184i | ||||
\(532\) | −1.12441 | + | 0.590134i | −0.0487492 | + | 0.0255856i | ||||
\(533\) | −22.8725 | − | 28.5154i | −0.990720 | − | 1.23514i | ||||
\(534\) | 31.5021 | + | 16.5336i | 1.36323 | + | 0.715477i | ||||
\(535\) | −10.2511 | + | 16.2108i | −0.443192 | + | 0.700852i | ||||
\(536\) | 12.1447 | + | 4.05449i | 0.524571 | + | 0.175127i | ||||
\(537\) | 1.02125 | − | 1.06323i | 0.0440702 | − | 0.0458819i | ||||
\(538\) | 5.06423 | − | 9.64909i | 0.218335 | − | 0.416002i | ||||
\(539\) | −14.5460 | − | 0.586182i | −0.626539 | − | 0.0252486i | ||||
\(540\) | 3.42366 | − | 2.79533i | 0.147331 | − | 0.120292i | ||||
\(541\) | −10.5371 | + | 42.7507i | −0.453026 | + | 1.83800i | 0.0868077 | + | 0.996225i | \(0.472333\pi\) |
−0.539833 | + | 0.841772i | \(0.681513\pi\) | |||||||
\(542\) | 34.0349 | − | 11.3625i | 1.46192 | − | 0.488062i | ||||
\(543\) | 2.21490 | − | 4.66781i | 0.0950507 | − | 0.200315i | ||||
\(544\) | −57.0561 | + | 2.29928i | −2.44626 | + | 0.0985808i | ||||
\(545\) | 15.0889 | − | 13.3676i | 0.646337 | − | 0.572605i | ||||
\(546\) | −3.94217 | + | 1.82884i | −0.168709 | + | 0.0782670i | ||||
\(547\) | 29.8837 | + | 26.4746i | 1.27773 | + | 1.13197i | 0.984397 | + | 0.175964i | \(0.0563043\pi\) |
0.293337 | + | 0.956009i | \(0.405234\pi\) | |||||||
\(548\) | 21.9171 | + | 17.8947i | 0.936251 | + | 0.764425i | ||||
\(549\) | −0.556712 | + | 0.418342i | −0.0237599 | + | 0.0178544i | ||||
\(550\) | 0.514678 | − | 12.7716i | 0.0219460 | − | 0.544583i | ||||
\(551\) | −3.71994 | − | 4.19895i | −0.158475 | − | 0.178881i | ||||
\(552\) | −1.50595 | + | 0.714584i | −0.0640977 | + | 0.0304147i | ||||
\(553\) | −6.47751 | + | 1.32239i | −0.275452 | + | 0.0562339i | ||||
\(554\) | −16.4592 | + | 1.99851i | −0.699286 | + | 0.0849087i | ||||
\(555\) | 9.33820 | + | 3.97863i | 0.396384 | + | 0.168884i | ||||
\(556\) | 35.9871 | − | 5.84847i | 1.52619 | − | 0.248030i | ||||
\(557\) | −6.81234 | − | 41.9180i | −0.288648 | − | 1.77612i | −0.575153 | − | 0.818046i | \(-0.695058\pi\) |
0.286505 | − | 0.958079i | \(-0.407506\pi\) | |||||||
\(558\) | 4.54371 | − | 6.58270i | 0.192351 | − | 0.278668i | ||||
\(559\) | −5.77155 | + | 22.5712i | −0.244111 | + | 0.954662i | ||||
\(560\) | 0.675720 | + | 0.978949i | 0.0285544 | + | 0.0413681i | ||||
\(561\) | 12.6097 | − | 12.1118i | 0.532384 | − | 0.511362i | ||||
\(562\) | 1.19223 | + | 29.5849i | 0.0502912 | + | 1.24796i | ||||
\(563\) | −16.7398 | − | 20.5026i | −0.705500 | − | 0.864081i | 0.290176 | − | 0.956973i | \(-0.406286\pi\) |
−0.995676 | + | 0.0928926i | \(0.970389\pi\) | |||||||
\(564\) | −3.68438 | + | 1.39730i | −0.155140 | + | 0.0588370i | ||||
\(565\) | −14.8480 | + | 19.7591i | −0.624659 | + | 0.831271i | ||||
\(566\) | −7.41389 | − | 2.14746i | −0.311629 | − | 0.0902645i | ||||
\(567\) | 0.253292 | + | 0.482608i | 0.0106373 | + | 0.0202676i | ||||
\(568\) | 9.17084 | + | 19.3271i | 0.384800 | + | 0.810949i | ||||
\(569\) | 8.95674 | + | 9.32496i | 0.375486 | + | 0.390923i | 0.881953 | − | 0.471337i | \(-0.156228\pi\) |
−0.506467 | + | 0.862259i | \(0.669049\pi\) | |||||||
\(570\) | 2.61849 | − | 0.758455i | 0.109676 | − | 0.0317682i | ||||
\(571\) | 10.3115 | − | 27.1892i | 0.431524 | − | 1.13783i | −0.526255 | − | 0.850327i | \(-0.676404\pi\) |
0.957778 | − | 0.287507i | \(-0.0928266\pi\) | |||||||
\(572\) | −11.1457 | − | 19.6977i | −0.466024 | − | 0.823602i | ||||
\(573\) | −4.48662 | − | 11.8302i | −0.187431 | − | 0.494215i | ||||
\(574\) | 7.34102 | + | 9.76912i | 0.306408 | + | 0.407755i | ||||
\(575\) | −1.90464 | − | 1.20442i | −0.0794289 | − | 0.0502278i | ||||
\(576\) | 12.6651 | + | 2.05828i | 0.527712 | + | 0.0857616i | ||||
\(577\) | 7.56916i | 0.315108i | 0.987510 | + | 0.157554i | \(0.0503608\pi\) | ||||
−0.987510 | + | 0.157554i | \(0.949639\pi\) | |||||||
\(578\) | −16.9595 | + | 104.356i | −0.705422 | + | 4.34064i | ||||
\(579\) | 3.99072 | + | 3.83313i | 0.165848 | + | 0.159300i | ||||
\(580\) | 20.3960 | − | 23.0223i | 0.846899 | − | 0.955951i | ||||
\(581\) | 0.640814 | − | 2.21235i | 0.0265854 | − | 0.0917836i | ||||
\(582\) | 1.05040 | − | 5.14522i | 0.0435407 | − | 0.213276i | ||||
\(583\) | −1.38171 | − | 3.24300i | −0.0572247 | − | 0.134311i | ||||
\(584\) | 0.970455 | − | 7.99241i | 0.0401577 | − | 0.330728i | ||||
\(585\) | 5.36485 | − | 1.27303i | 0.221809 | − | 0.0526334i | ||||
\(586\) | 1.42834 | + | 11.7634i | 0.0590041 | + | 0.485942i | ||||
\(587\) | 9.07594 | − | 5.24000i | 0.374604 | − | 0.216278i | −0.300864 | − | 0.953667i | \(-0.597275\pi\) |
0.675468 | + | 0.737389i | \(0.263942\pi\) | |||||||
\(588\) | −17.8226 | + | 7.59351i | −0.734993 | + | 0.313151i | ||||
\(589\) | 2.46436 | − | 1.55837i | 0.101542 | − | 0.0642114i | ||||
\(590\) | −28.0110 | − | 10.6232i | −1.15319 | − | 0.437349i | ||||
\(591\) | 3.94461 | + | 11.8156i | 0.162260 | + | 0.486027i | ||||
\(592\) | 2.99963 | + | 8.98500i | 0.123284 | + | 0.369281i | ||||
\(593\) | 6.90314 | + | 2.61802i | 0.283478 | + | 0.107509i | 0.492246 | − | 0.870456i | \(-0.336176\pi\) |
−0.208768 | + | 0.977965i | \(0.566945\pi\) | |||||||
\(594\) | −4.05927 | + | 2.56693i | −0.166554 | + | 0.105322i | ||||
\(595\) | 6.17314 | − | 2.63013i | 0.253074 | − | 0.107825i | ||||
\(596\) | −26.2554 | + | 15.1586i | −1.07546 | + | 0.620920i | ||||
\(597\) | 0.955685 | + | 7.87077i | 0.0391136 | + | 0.322129i | ||||
\(598\) | −6.75106 | − | 0.0585923i | −0.276072 | − | 0.00239602i | ||||
\(599\) | 2.05747 | − | 16.9448i | 0.0840660 | − | 0.692346i | −0.888362 | − | 0.459143i | \(-0.848156\pi\) |
0.972428 | − | 0.233202i | \(-0.0749205\pi\) | |||||||
\(600\) | −2.05356 | − | 4.81989i | −0.0838364 | − | 0.196771i | ||||
\(601\) | −2.36515 | + | 11.5853i | −0.0964766 | + | 0.472573i | 0.902634 | + | 0.430409i | \(0.141631\pi\) |
−0.999111 | + | 0.0421647i | \(0.986575\pi\) | |||||||
\(602\) | 2.16677 | − | 7.48055i | 0.0883108 | − | 0.304884i | ||||
\(603\) | 4.31293 | − | 4.86829i | 0.175636 | − | 0.198252i | ||||
\(604\) | −12.2161 | − | 11.7338i | −0.497068 | − | 0.477440i | ||||
\(605\) | −1.54130 | + | 9.48402i | −0.0626629 | + | 0.385580i | ||||
\(606\) | 12.7968i | 0.519835i | ||||||||
\(607\) | 18.3151 | + | 2.97650i | 0.743389 | + | 0.120812i | 0.520297 | − | 0.853985i | \(-0.325821\pi\) |
0.223091 | + | 0.974798i | \(0.428385\pi\) | |||||||
\(608\) | 4.83270 | + | 3.05601i | 0.195992 | + | 0.123938i | ||||
\(609\) | 2.27854 | + | 3.03219i | 0.0923312 | + | 0.122870i | ||||
\(610\) | −0.835088 | − | 2.20195i | −0.0338117 | − | 0.0891542i | ||||
\(611\) | −4.89617 | − | 0.438061i | −0.198078 | − | 0.0177220i | ||||
\(612\) | 8.25074 | − | 21.7554i | 0.333517 | − | 0.879411i | ||||
\(613\) | −19.0937 | + | 5.53055i | −0.771186 | + | 0.223377i | −0.640408 | − | 0.768035i | \(-0.721235\pi\) |
−0.130778 | + | 0.991412i | \(0.541748\pi\) | |||||||
\(614\) | −28.1118 | − | 29.2674i | −1.13450 | − | 1.18114i | ||||
\(615\) | −6.64667 | − | 14.0076i | −0.268020 | − | 0.564840i | ||||
\(616\) | 1.08294 | + | 2.06338i | 0.0436330 | + | 0.0831358i | ||||
\(617\) | 19.5148 | + | 5.65254i | 0.785638 | + | 0.227563i | 0.646706 | − | 0.762739i | \(-0.276146\pi\) |
0.138931 | + | 0.990302i | \(0.455633\pi\) | |||||||
\(618\) | 9.73764 | − | 12.9584i | 0.391705 | − | 0.521265i | ||||
\(619\) | 2.47883 | − | 0.940097i | 0.0996327 | − | 0.0377857i | −0.304285 | − | 0.952581i | \(-0.598417\pi\) |
0.403918 | + | 0.914795i | \(0.367648\pi\) | |||||||
\(620\) | 10.1107 | + | 12.3834i | 0.406056 | + | 0.497329i | ||||
\(621\) | 0.0340950 | + | 0.846060i | 0.00136819 | + | 0.0339512i | ||||
\(622\) | −17.8054 | + | 17.1023i | −0.713933 | + | 0.685742i | ||||
\(623\) | −4.98119 | − | 7.21651i | −0.199567 | − | 0.289123i | ||||
\(624\) | 4.20918 | + | 2.95965i | 0.168502 | + | 0.118481i | ||||
\(625\) | −2.61895 | + | 3.79420i | −0.104758 | + | 0.151768i | ||||
\(626\) | −4.55393 | − | 28.0215i | −0.182012 | − | 1.11996i | ||||
\(627\) | −1.72810 | + | 0.280844i | −0.0690138 | + | 0.0112158i | ||||
\(628\) | −23.8065 | − | 10.1430i | −0.949981 | − | 0.404749i | ||||
\(629\) | 53.0451 | − | 6.44084i | 2.11505 | − | 0.256813i | ||||
\(630\) | −1.80595 | + | 0.368687i | −0.0719507 | + | 0.0146888i | ||||
\(631\) | −6.33098 | + | 3.00409i | −0.252032 | + | 0.119591i | −0.550518 | − | 0.834823i | \(-0.685570\pi\) |
0.298486 | + | 0.954414i | \(0.403519\pi\) | |||||||
\(632\) | −15.8342 | − | 17.8731i | −0.629850 | − | 0.710954i | ||||
\(633\) | 0.462239 | − | 11.4703i | 0.0183723 | − | 0.455905i | ||||
\(634\) | 43.0487 | − | 32.3490i | 1.70968 | − | 1.28474i | ||||
\(635\) | 24.8663 | + | 20.3027i | 0.986789 | + | 0.805688i | ||||
\(636\) | −3.51128 | − | 3.11073i | −0.139231 | − | 0.123348i | ||||
\(637\) | −24.1388 | − | 1.18267i | −0.956415 | − | 0.0468593i | ||||
\(638\) | −25.0169 | + | 22.1630i | −0.990427 | + | 0.877442i | ||||
\(639\) | 10.8582 | − | 0.437569i | 0.429543 | − | 0.0173100i | ||||
\(640\) | −9.30182 | + | 19.6032i | −0.367687 | + | 0.774884i | ||||
\(641\) | 13.4718 | − | 4.49755i | 0.532105 | − | 0.177643i | −0.0379038 | − | 0.999281i | \(-0.512068\pi\) |
0.570009 | + | 0.821639i | \(0.306940\pi\) | |||||||
\(642\) | 6.63747 | − | 26.9293i | 0.261960 | − | 1.06281i | ||||
\(643\) | −15.5729 | + | 12.7148i | −0.614134 | + | 0.501425i | −0.887696 | − | 0.460430i | \(-0.847695\pi\) |
0.273563 | + | 0.961854i | \(0.411798\pi\) | |||||||
\(644\) | 1.33278 | + | 0.0537090i | 0.0525187 | + | 0.00211643i | ||||
\(645\) | −4.59211 | + | 8.74954i | −0.180814 | + | 0.344513i | ||||
\(646\) | 9.94132 | − | 10.3500i | 0.391136 | − | 0.407216i | ||||
\(647\) | −36.9494 | − | 12.3355i | −1.45263 | − | 0.484959i | −0.522643 | − | 0.852552i | \(-0.675054\pi\) |
−0.929987 | + | 0.367593i | \(0.880182\pi\) | |||||||
\(648\) | −1.05214 | + | 1.66383i | −0.0413320 | + | 0.0653614i | ||||
\(649\) | 17.0358 | + | 8.94106i | 0.668712 | + | 0.350967i | ||||
\(650\) | 1.03841 | − | 21.1943i | 0.0407298 | − | 0.831309i | ||||
\(651\) | −1.74559 | + | 0.916158i | −0.0684152 | + | 0.0359071i | ||||
\(652\) | 2.41911 | − | 29.9661i | 0.0947398 | − | 1.17356i | ||||
\(653\) | 0.0769017 | + | 0.133198i | 0.00300940 | + | 0.00521243i | 0.867526 | − | 0.497392i | \(-0.165709\pi\) |
−0.864517 | + | 0.502604i | \(0.832375\pi\) | |||||||
\(654\) | −14.5751 | + | 25.2448i | −0.569932 | + | 0.987151i | ||||
\(655\) | 20.2449 | + | 13.9741i | 0.791035 | + | 0.546012i | ||||
\(656\) | 5.67135 | − | 13.3112i | 0.221429 | − | 0.519713i | ||||
\(657\) | −3.54187 | − | 2.04490i | −0.138181 | − | 0.0797791i | ||||
\(658\) | 1.63128 | + | 0.198074i | 0.0635940 | + | 0.00772171i | ||||
\(659\) | −0.293297 | + | 0.0236774i | −0.0114252 | + | 0.000922340i | −0.0861779 | − | 0.996280i | \(-0.527465\pi\) |
0.0747526 | + | 0.997202i | \(0.476183\pi\) | |||||||
\(660\) | −2.67069 | − | 9.22031i | −0.103957 | − | 0.358900i | ||||
\(661\) | −22.2348 | − | 10.5506i | −0.864834 | − | 0.410369i | −0.0560175 | − | 0.998430i | \(-0.517840\pi\) |
−0.808817 | + | 0.588061i | \(0.799892\pi\) | |||||||
\(662\) | 42.8203 | + | 10.5542i | 1.66426 | + | 0.410202i | ||||
\(663\) | 21.1075 | − | 19.9248i | 0.819748 | − | 0.773814i | ||||
\(664\) | 8.07733 | − | 1.99088i | 0.313461 | − | 0.0772613i | ||||
\(665\) | −0.658328 | − | 0.134399i | −0.0255289 | − | 0.00521175i | ||||
\(666\) | −14.6304 | − | 1.18109i | −0.566917 | − | 0.0457663i | ||||
\(667\) | 1.17864 | + | 5.77335i | 0.0456371 | + | 0.223545i | ||||
\(668\) | −51.8413 | + | 35.7835i | −2.00580 | + | 1.38450i | ||||
\(669\) | 0.424309 | + | 5.25602i | 0.0164047 | + | 0.203209i | ||||
\(670\) | 11.7555 | + | 18.5899i | 0.454156 | + | 0.718191i | ||||
\(671\) | 0.361946 | + | 1.46847i | 0.0139728 | + | 0.0566898i | ||||
\(672\) | −3.09065 | − | 2.32247i | −0.119224 | − | 0.0895912i | ||||
\(673\) | −21.7158 | + | 26.5971i | −0.837084 | + | 1.02524i | 0.162176 | + | 0.986762i | \(0.448149\pi\) |
−0.999259 | + | 0.0384793i | \(0.987749\pi\) | |||||||
\(674\) | −21.6926 | + | 64.9773i | −0.835569 | + | 2.50283i | ||||
\(675\) | −2.66137 | −0.102436 | ||||||||
\(676\) | −18.2187 | − | 32.8601i | −0.700721 | − | 1.26385i | ||||
\(677\) | 32.8693 | 1.26327 | 0.631635 | − | 0.775266i | \(-0.282384\pi\) | ||||
0.631635 | + | 0.775266i | \(0.282384\pi\) | |||||||
\(678\) | 11.3179 | − | 33.9013i | 0.434661 | − | 1.30197i | ||||
\(679\) | −0.818573 | + | 1.00257i | −0.0314140 | + | 0.0384751i | ||||
\(680\) | 19.3750 | + | 14.5594i | 0.742998 | + | 0.558327i | ||||
\(681\) | 3.50917 | + | 14.2373i | 0.134472 | + | 0.545573i | ||||
\(682\) | −9.28458 | − | 14.6824i | −0.355525 | − | 0.562218i | ||||
\(683\) | 0.617522 | + | 7.64938i | 0.0236288 | + | 0.292695i | 0.997770 | + | 0.0667532i | \(0.0212640\pi\) |
−0.974141 | + | 0.225942i | \(0.927454\pi\) | |||||||
\(684\) | −1.91744 | + | 1.32351i | −0.0733150 | + | 0.0506057i | ||||
\(685\) | 2.99461 | + | 14.6686i | 0.114418 | + | 0.560457i | ||||
\(686\) | 16.4624 | + | 1.32898i | 0.628538 | + | 0.0507409i | ||||
\(687\) | −12.0625 | − | 2.46257i | −0.460211 | − | 0.0939528i | ||||
\(688\) | −8.95345 | + | 2.20683i | −0.341347 | + | 0.0841345i | ||||
\(689\) | −2.24701 | − | 5.40350i | −0.0856043 | − | 0.205857i | ||||
\(690\) | −2.78030 | − | 0.685282i | −0.105844 | − | 0.0260882i | ||||
\(691\) | −26.4807 | − | 12.5652i | −1.00737 | − | 0.478004i | −0.147799 | − | 0.989017i | \(-0.547219\pi\) |
−0.859573 | + | 0.511014i | \(0.829270\pi\) | |||||||
\(692\) | −1.22637 | − | 4.23392i | −0.0466196 | − | 0.160950i | ||||
\(693\) | 1.17990 | − | 0.0952516i | 0.0448208 | − | 0.00361831i | ||||
\(694\) | −42.3410 | − | 5.14113i | −1.60724 | − | 0.195155i | ||||
\(695\) | 16.7067 | + | 9.64560i | 0.633720 | + | 0.365879i | ||||
\(696\) | −5.36964 | + | 12.6030i | −0.203536 | + | 0.477716i | ||||
\(697\) | −67.1720 | − | 46.3655i | −2.54432 | − | 1.75622i | ||||
\(698\) | 16.3850 | − | 28.3796i | 0.620181 | − | 1.07418i | ||||
\(699\) | −12.5283 | − | 21.6996i | −0.473862 | − | 0.820754i | ||||
\(700\) | −0.337346 | + | 4.17879i | −0.0127505 | + | 0.157943i | ||||
\(701\) | −36.3304 | + | 19.0677i | −1.37218 | + | 0.720177i | −0.979866 | − | 0.199654i | \(-0.936018\pi\) |
−0.392316 | + | 0.919831i | \(0.628326\pi\) | |||||||
\(702\) | −6.77564 | + | 4.20278i | −0.255730 | + | 0.158624i | ||||
\(703\) | −4.73774 | − | 2.48656i | −0.178687 | − | 0.0937823i | ||||
\(704\) | 14.8943 | − | 23.5534i | 0.561348 | − | 0.887702i | ||||
\(705\) | −1.97766 | − | 0.660240i | −0.0744830 | − | 0.0248661i | ||||
\(706\) | 16.1724 | − | 16.8373i | 0.608657 | − | 0.633680i | ||||
\(707\) | 1.46575 | − | 2.79275i | 0.0551252 | − | 0.105032i | ||||
\(708\) | 25.5824 | + | 1.03094i | 0.961446 | + | 0.0387449i | ||||
\(709\) | 2.29345 | − | 1.87254i | 0.0861323 | − | 0.0703249i | −0.588401 | − | 0.808569i | \(-0.700242\pi\) |
0.674533 | + | 0.738244i | \(0.264345\pi\) | |||||||
\(710\) | −8.79478 | + | 35.6818i | −0.330062 | + | 1.33911i | ||||
\(711\) | −11.5054 | + | 3.84106i | −0.431486 | + | 0.144051i | ||||
\(712\) | 13.5772 | − | 28.6132i | 0.508825 | − | 1.07233i | ||||
\(713\) | −3.06020 | + | 0.123322i | −0.114605 | + | 0.00461844i | ||||
\(714\) | −7.26287 | + | 6.43434i | −0.271806 | + | 0.240799i | ||||
\(715\) | 2.02347 | − | 11.8030i | 0.0756734 | − | 0.441407i | ||||
\(716\) | −3.18932 | − | 2.82549i | −0.119191 | − | 0.105594i | ||||
\(717\) | 3.07535 | + | 2.51094i | 0.114851 | + | 0.0937729i | ||||
\(718\) | −12.6832 | + | 9.53078i | −0.473331 | + | 0.355685i | ||||
\(719\) | 1.23071 | − | 30.5398i | 0.0458978 | − | 1.13894i | −0.798076 | − | 0.602557i | \(-0.794149\pi\) |
0.843974 | − | 0.536385i | \(-0.180210\pi\) | |||||||
\(720\) | 1.44722 | + | 1.63358i | 0.0539348 | + | 0.0608798i | ||||
\(721\) | −3.60939 | + | 1.71267i | −0.134421 | + | 0.0637833i | ||||
\(722\) | 39.7591 | − | 8.11689i | 1.47968 | − | 0.302079i | ||||
\(723\) | 5.37610 | − | 0.652777i | 0.199939 | − | 0.0242770i | ||||
\(724\) | −13.7378 | − | 5.85311i | −0.510560 | − | 0.217529i | ||||
\(725\) | −18.2804 | + | 2.97085i | −0.678917 | + | 0.110335i | ||||
\(726\) | −2.22880 | − | 13.7143i | −0.0827184 | − | 0.508987i | ||||
\(727\) | −18.2176 | + | 26.3927i | −0.675653 | + | 0.978852i | 0.323812 | + | 0.946122i | \(0.395036\pi\) |
−0.999464 | + | 0.0327301i | \(0.989580\pi\) | |||||||
\(728\) | 1.76803 | + | 3.44094i | 0.0655275 | + | 0.127530i | ||||
\(729\) | 0.568065 | + | 0.822984i | 0.0210394 | + | 0.0304809i | ||||
\(730\) | 9.97479 | − | 9.58091i | 0.369183 | − | 0.354606i | ||||
\(731\) | 2.09457 | + | 51.9761i | 0.0774704 | + | 1.92241i | ||||
\(732\) | 1.27290 | + | 1.55902i | 0.0470478 | + | 0.0576231i | ||||
\(733\) | −9.55885 | + | 3.62519i | −0.353064 | + | 0.133900i | −0.524759 | − | 0.851251i | \(-0.675845\pi\) |
0.171695 | + | 0.985150i | \(0.445076\pi\) | |||||||
\(734\) | 41.2395 | − | 54.8799i | 1.52218 | − | 2.02565i | ||||
\(735\) | −9.84581 | − | 2.85187i | −0.363168 | − | 0.105193i | ||||
\(736\) | −2.79114 | − | 5.31808i | −0.102883 | − | 0.196027i | ||||
\(737\) | −6.05555 | − | 12.7618i | −0.223059 | − | 0.470087i | ||||
\(738\) | 15.5311 | + | 16.1696i | 0.571706 | + | 0.595210i | ||||
\(739\) | 43.9612 | − | 12.7335i | 1.61714 | − | 0.468410i | 0.658393 | − | 0.752674i | \(-0.271237\pi\) |
0.958746 | + | 0.284264i | \(0.0917493\pi\) | |||||||
\(740\) | 10.4030 | − | 27.4305i | 0.382422 | − | 1.00836i | ||||
\(741\) | −2.87281 | + | 0.441322i | −0.105535 | + | 0.0162124i | ||||
\(742\) | 0.693704 | + | 1.82915i | 0.0254667 | + | 0.0671501i | ||||
\(743\) | 14.5176 | + | 19.3194i | 0.532598 | + | 0.708759i | 0.982905 | − | 0.184115i | \(-0.0589418\pi\) |
−0.450307 | + | 0.892874i | \(0.648685\pi\) | |||||||
\(744\) | −6.01808 | − | 3.80560i | −0.220633 | − | 0.139520i | ||||
\(745\) | −15.8336 | − | 2.57321i | −0.580099 | − | 0.0942753i | ||||
\(746\) | − | 5.39623i | − | 0.197570i | ||||||
\(747\) | 0.677884 | − | 4.17119i | 0.0248025 | − | 0.152616i | ||||
\(748\) | −36.4448 | − | 35.0057i | −1.33255 | − | 1.27993i | ||||
\(749\) | −4.53303 | + | 5.11674i | −0.165633 | + | 0.186961i | ||||
\(750\) | 7.20834 | − | 24.8861i | 0.263211 | − | 0.908711i | ||||
\(751\) | 9.25748 | − | 45.3461i | 0.337810 | − | 1.65470i | −0.355955 | − | 0.934503i | \(-0.615844\pi\) |
0.693765 | − | 0.720201i | \(-0.255950\pi\) | |||||||
\(752\) | −0.762651 | − | 1.79001i | −0.0278110 | − | 0.0652749i | ||||
\(753\) | 0.152262 | − | 1.25399i | 0.00554874 | − | 0.0456980i | ||||
\(754\) | −41.8490 | + | 36.4316i | −1.52405 | + | 1.32676i | ||||
\(755\) | −1.08031 | − | 8.89715i | −0.0393165 | − | 0.323800i | ||||
\(756\) | 1.36423 | − | 0.787637i | 0.0496165 | − | 0.0286461i | ||||
\(757\) | −19.9321 | + | 8.49226i | −0.724444 | + | 0.308657i | −0.722528 | − | 0.691342i | \(-0.757020\pi\) |
−0.00191552 | + | 0.999998i | \(0.500610\pi\) | |||||||
\(758\) | 34.5534 | − | 21.8503i | 1.25504 | − | 0.793637i | ||||
\(759\) | 1.71950 | + | 0.652120i | 0.0624139 | + | 0.0236705i | ||||
\(760\) | −0.768494 | − | 2.30192i | −0.0278762 | − | 0.0834994i | ||||
\(761\) | 4.79704 | + | 14.3689i | 0.173892 | + | 0.520871i | 0.999029 | − | 0.0440622i | \(-0.0140300\pi\) |
−0.825136 | + | 0.564934i | \(0.808902\pi\) | |||||||
\(762\) | −43.4043 | − | 16.4611i | −1.57237 | − | 0.596321i | ||||
\(763\) | 6.07239 | − | 3.83995i | 0.219835 | − | 0.139015i | ||||
\(764\) | −33.6419 | + | 14.3335i | −1.21712 | + | 0.518568i | ||||
\(765\) | 10.6618 | − | 6.15560i | 0.385479 | − | 0.222556i | ||||
\(766\) | −2.83764 | − | 23.3701i | −0.102528 | − | 0.844394i | ||||
\(767\) | 28.1517 | + | 15.0882i | 1.01650 | + | 0.544803i | ||||
\(768\) | 0.688745 | − | 5.67233i | 0.0248530 | − | 0.204683i | ||||
\(769\) | 4.10210 | + | 9.62798i | 0.147925 | + | 0.347194i | 0.977415 | − | 0.211328i | \(-0.0677789\pi\) |
−0.829490 | + | 0.558522i | \(0.811369\pi\) | |||||||
\(770\) | −0.800732 | + | 3.92225i | −0.0288564 | + | 0.141348i | ||||
\(771\) | 2.25403 | − | 7.78183i | 0.0811770 | − | 0.280256i | ||||
\(772\) | 10.6051 | − | 11.9707i | 0.381687 | − | 0.430836i | ||||
\(773\) | 18.6767 | + | 17.9392i | 0.671754 | + | 0.645228i | 0.948892 | − | 0.315602i | \(-0.102206\pi\) |
−0.277138 | + | 0.960830i | \(0.589386\pi\) | |||||||
\(774\) | 2.29211 | − | 14.1039i | 0.0823882 | − | 0.506955i | ||||
\(775\) | − | 9.62617i | − | 0.345782i | ||||||
\(776\) | −4.61425 | − | 0.749888i | −0.165642 | − | 0.0269194i | ||||
\(777\) | 3.05763 | + | 1.93353i | 0.109692 | + | 0.0693650i | ||||
\(778\) | 49.7103 | + | 66.1524i | 1.78220 | + | 2.37168i | ||||
\(779\) | 2.89816 | + | 7.64182i | 0.103837 | + | 0.273797i | ||||
\(780\) | −4.30069 | − | 15.3448i | −0.153989 | − | 0.549432i | ||||
\(781\) | 8.36919 | − | 22.0677i | 0.299473 | − | 0.789646i | ||||
\(782\) | −14.4791 | + | 4.19393i | −0.517772 | + | 0.149974i | ||||
\(783\) | 4.82061 | + | 5.01879i | 0.172275 | + | 0.179357i | ||||
\(784\) | −4.10082 | − | 8.64230i | −0.146458 | − | 0.308654i | ||||
\(785\) | −6.36302 | − | 12.1237i | −0.227106 | − | 0.432714i | ||||
\(786\) | −34.1675 | − | 9.89674i | −1.21871 | − | 0.353005i | ||||
\(787\) | −26.3067 | + | 35.0078i | −0.937731 | + | 1.24789i | 0.0309337 | + | 0.999521i | \(0.490152\pi\) |
−0.968665 | + | 0.248372i | \(0.920104\pi\) | |||||||
\(788\) | 33.6627 | − | 12.7666i | 1.19918 | − | 0.454790i | ||||
\(789\) | 0.873212 | + | 1.06949i | 0.0310872 | + | 0.0380749i | ||||
\(790\) | −1.65170 | − | 40.9864i | −0.0587647 | − | 1.45823i | ||||
\(791\) | −6.35306 | + | 6.10219i | −0.225889 | + | 0.216969i | ||||
\(792\) | 2.42874 | + | 3.51864i | 0.0863017 | + | 0.125030i | ||||
\(793\) | 0.579697 | + | 2.44298i | 0.0205857 | + | 0.0867527i | ||||
\(794\) | 10.3800 | − | 15.0381i | 0.368373 | − | 0.533681i | ||||
\(795\) | −0.398158 | − | 2.44996i | −0.0141212 | − | 0.0868912i | ||||
\(796\) | 22.6185 | − | 3.67586i | 0.801691 | − | 0.130287i | ||||
\(797\) | 29.3783 | + | 12.5169i | 1.04063 | + | 0.443372i | 0.843570 | − | 0.537019i | \(-0.180450\pi\) |
0.197062 | + | 0.980391i | \(0.436860\pi\) | |||||||
\(798\) | 0.964525 | − | 0.117114i | 0.0341438 | − | 0.00414581i | ||||
\(799\) | −10.7540 | + | 2.19544i | −0.380449 | + | 0.0776691i | ||||
\(800\) | 17.0547 | − | 8.09255i | 0.602974 | − | 0.286115i | ||||
\(801\) | −10.6685 | − | 12.0422i | −0.376952 | − | 0.425491i | ||||
\(802\) | −3.14778 | + | 78.1114i | −0.111152 | + | 2.75821i | ||||
\(803\) | −7.10099 | + | 5.33605i | −0.250588 | + | 0.188305i | ||||
\(804\) | −14.5609 | − | 11.8886i | −0.513522 | − | 0.419278i | ||||
\(805\) | 0.528275 | + | 0.468010i | 0.0186192 | + | 0.0164952i | ||||
\(806\) | −15.2015 | − | 24.5075i | −0.535449 | − | 0.863240i | ||||
\(807\) | −3.68853 | + | 3.26776i | −0.129843 | + | 0.115030i | ||||
\(808\) | 11.3826 | − | 0.458702i | 0.400438 | − | 0.0161371i | ||||
\(809\) | −14.8230 | + | 31.2388i | −0.521149 | + | 1.09830i | 0.456822 | + | 0.889558i | \(0.348988\pi\) |
−0.977971 | + | 0.208741i | \(0.933063\pi\) | |||||||
\(810\) | −3.20774 | + | 1.07090i | −0.112708 | + | 0.0376276i | ||||
\(811\) | −6.91568 | + | 28.0580i | −0.242843 | + | 0.985251i | 0.715268 | + | 0.698851i | \(0.246305\pi\) |
−0.958110 | + | 0.286400i | \(0.907541\pi\) | |||||||
\(812\) | 8.49137 | − | 6.93299i | 0.297989 | − | 0.243300i | ||||
\(813\) | −16.2127 | − | 0.653349i | −0.568603 | − | 0.0229139i | ||||
\(814\) | −14.8147 | + | 28.2270i | −0.519253 | + | 0.989355i | ||||
\(815\) | 11.0193 | − | 11.4723i | 0.385989 | − | 0.401857i | ||||
\(816\) | 10.8977 | + | 3.63818i | 0.381495 | + | 0.127362i | ||||
\(817\) | 2.78392 | − | 4.40242i | 0.0973972 | − | 0.154021i | ||||
\(818\) | −50.8022 | − | 26.6630i | −1.77626 | − | 0.932251i | ||||
\(819\) | 1.96009 | − | 0.141124i | 0.0684911 | − | 0.00493129i | ||||
\(820\) | −39.6784 | + | 20.8248i | −1.38563 | + | 0.727235i | ||||
\(821\) | −1.03104 | + | 12.7718i | −0.0359837 | + | 0.445738i | 0.953530 | + | 0.301298i | \(0.0974200\pi\) |
−0.989514 | + | 0.144440i | \(0.953862\pi\) | |||||||
\(822\) | −10.8245 | − | 18.7486i | −0.377547 | − | 0.653931i | ||||
\(823\) | 2.13798 | − | 3.70310i | 0.0745255 | − | 0.129082i | −0.826354 | − | 0.563150i | \(-0.809589\pi\) |
0.900880 | + | 0.434069i | \(0.142922\pi\) | |||||||
\(824\) | −11.8754 | − | 8.19698i | −0.413698 | − | 0.285555i | ||||
\(825\) | −2.26560 | + | 5.31756i | −0.0788781 | + | 0.185134i | ||||
\(826\) | −9.24669 | − | 5.33858i | −0.321733 | − | 0.185753i | ||||
\(827\) | 3.27513 | + | 0.397672i | 0.113887 | + | 0.0138284i | 0.177282 | − | 0.984160i | \(-0.443270\pi\) |
−0.0633946 | + | 0.997989i | \(0.520193\pi\) | |||||||
\(828\) | 2.43934 | − | 0.196924i | 0.0847728 | − | 0.00684357i | ||||
\(829\) | −6.09509 | − | 21.0427i | −0.211691 | − | 0.730843i | −0.994137 | − | 0.108125i | \(-0.965515\pi\) |
0.782446 | − | 0.622718i | \(-0.213972\pi\) | |||||||
\(830\) | 12.9113 | + | 6.12648i | 0.448157 | + | 0.212653i | ||||
\(831\) | 7.27977 | + | 1.79430i | 0.252532 | + | 0.0622436i | ||||
\(832\) | 25.0648 | − | 38.8856i | 0.868966 | − | 1.34812i | ||||
\(833\) | −52.3935 | + | 12.9138i | −1.81533 | + | 0.447438i | ||||
\(834\) | −27.3322 | − | 5.57992i | −0.946438 | − | 0.193217i | ||||
\(835\) | −33.2220 | − | 2.68196i | −1.14970 | − | 0.0928130i | ||||
\(836\) | 1.01215 | + | 4.95784i | 0.0350059 | + | 0.171470i | ||||
\(837\) | −2.97674 | + | 2.05469i | −0.102891 | + | 0.0710206i | ||||
\(838\) | −2.02289 | − | 25.0580i | −0.0698797 | − | 0.865615i | ||||
\(839\) | 6.50498 | + | 10.2868i | 0.224577 | + | 0.355140i | 0.938615 | − | 0.344967i | \(-0.112110\pi\) |
−0.714038 | + | 0.700107i | \(0.753136\pi\) | |||||||
\(840\) | 0.392675 | + | 1.59315i | 0.0135486 | + | 0.0549688i | ||||
\(841\) | 15.5304 | + | 11.6703i | 0.535530 | + | 0.402425i | ||||
\(842\) | 9.50856 | − | 11.6459i | 0.327687 | − | 0.401343i | ||||
\(843\) | 4.23997 | − | 12.7003i | 0.146032 | − | 0.437420i | ||||
\(844\) | −33.1786 | −1.14205 | ||||||||
\(845\) | 3.52914 | − | 19.5646i | 0.121406 | − | 0.673043i | ||||
\(846\) | 3.01495 | 0.103656 | ||||||||
\(847\) | −1.08443 | + | 3.24828i | −0.0372616 | + | 0.111612i | ||||
\(848\) | 1.46495 | − | 1.79424i | 0.0503065 | − | 0.0616143i | ||||
\(849\) | 2.79039 | + | 2.09684i | 0.0957658 | + | 0.0719634i | ||||
\(850\) | −11.3386 | − | 46.0024i | −0.388910 | − | 1.57787i | ||||
\(851\) | 3.00384 | + | 4.75020i | 0.102970 | + | 0.162835i | ||||
\(852\) | −2.52728 | − | 31.3060i | −0.0865832 | − | 1.07253i | ||||
\(853\) | −35.7785 | + | 24.6961i | −1.22503 | + | 0.845580i | −0.991919 | − | 0.126870i | \(-0.959507\pi\) |
−0.233114 | + | 0.972449i | \(0.574892\pi\) | |||||||
\(854\) | −0.167888 | − | 0.822369i | −0.00574501 | − | 0.0281409i | ||||
\(855\) | −1.22877 | − | 0.0991967i | −0.0420231 | − | 0.00339246i | ||||
\(856\) | −24.1911 | − | 4.93865i | −0.826834 | − | 0.168799i | ||||
\(857\) | 47.3741 | − | 11.6767i | 1.61827 | − | 0.398867i | 0.676853 | − | 0.736118i | \(-0.263343\pi\) |
0.941415 | + | 0.337251i | \(0.109497\pi\) | |||||||
\(858\) | 2.62935 | + | 17.1159i | 0.0897645 | + | 0.584328i | ||||
\(859\) | 50.2064 | + | 12.3748i | 1.71302 | + | 0.422222i | 0.969223 | − | 0.246184i | \(-0.0791767\pi\) |
0.743797 | + | 0.668405i | \(0.233023\pi\) | |||||||
\(860\) | 25.8019 | + | 12.2431i | 0.879837 | + | 0.417488i | ||||
\(861\) | −1.53741 | − | 5.30774i | −0.0523947 | − | 0.180887i | ||||
\(862\) | 45.4837 | − | 3.67182i | 1.54918 | − | 0.125063i | ||||
\(863\) | −21.0198 | − | 2.55226i | −0.715521 | − | 0.0868800i | −0.245324 | − | 0.969441i | \(-0.578894\pi\) |
−0.470197 | + | 0.882561i | \(0.655817\pi\) | |||||||
\(864\) | −6.14278 | − | 3.54654i | −0.208982 | − | 0.120656i | ||||
\(865\) | 0.914195 | − | 2.14569i | 0.0310836 | − | 0.0729558i | ||||
\(866\) | 6.34764 | + | 4.38146i | 0.215702 | + | 0.148888i | ||||
\(867\) | 23.9048 | − | 41.4043i | 0.811849 | − | 1.40616i | ||||
\(868\) | 2.84889 | + | 4.93442i | 0.0966975 | + | 0.167485i | ||||
\(869\) | −2.11979 | + | 26.2583i | −0.0719089 | + | 0.890752i | ||||
\(870\) | −20.8379 | + | 10.9366i | −0.706470 | + | 0.370784i | ||||
\(871\) | −9.86875 | − | 21.2727i | −0.334390 | − | 0.720798i | ||||
\(872\) | 22.9773 | + | 12.0594i | 0.778110 | + | 0.408384i | ||||
\(873\) | −1.26919 | + | 2.00707i | −0.0429556 | + | 0.0679289i | ||||
\(874\) | 1.43176 | + | 0.477993i | 0.0484301 | + | 0.0161684i | ||||
\(875\) | −4.42359 | + | 4.60545i | −0.149545 | + | 0.155693i | ||||
\(876\) | −5.49319 | + | 10.4664i | −0.185598 | + | 0.353627i | ||||
\(877\) | 56.5459 | + | 2.27872i | 1.90942 | + | 0.0769470i | 0.966590 | − | 0.256326i | \(-0.0825120\pi\) |
0.942830 | + | 0.333273i | \(0.108153\pi\) | |||||||
\(878\) | 52.1472 | − | 42.5769i | 1.75988 | − | 1.43690i | ||||
\(879\) | 1.28239 | − | 5.20285i | 0.0432538 | − | 0.175488i | ||||
\(880\) | 4.49599 | − | 1.50098i | 0.151560 | − | 0.0505981i | ||||
\(881\) | −9.46552 | + | 19.9482i | −0.318902 | + | 0.672071i | −0.998082 | − | 0.0619001i | \(-0.980284\pi\) |
0.679181 | + | 0.733971i | \(0.262335\pi\) | |||||||
\(882\) | 14.8107 | − | 0.596852i | 0.498703 | − | 0.0200970i | ||||
\(883\) | 8.40444 | − | 7.44568i | 0.282832 | − | 0.250567i | −0.509764 | − | 0.860314i | \(-0.670267\pi\) |
0.792596 | + | 0.609747i | \(0.208729\pi\) | |||||||
\(884\) | −59.9964 | − | 58.6369i | −2.01790 | − | 1.97217i | ||||
\(885\) | 10.1401 | + | 8.98338i | 0.340857 | + | 0.301973i | ||||
\(886\) | −32.0540 | − | 26.1713i | −1.07688 | − | 0.879242i | ||||
\(887\) | 23.2717 | − | 17.4876i | 0.781389 | − | 0.587176i | −0.133422 | − | 0.991059i | \(-0.542596\pi\) |
0.914810 | + | 0.403884i | \(0.132340\pi\) | |||||||
\(888\) | −0.526134 | + | 13.0559i | −0.0176559 | + | 0.438126i | ||||
\(889\) | 7.58701 | + | 8.56396i | 0.254460 | + | 0.287226i | ||||
\(890\) | 49.1539 | − | 23.3238i | 1.64764 | − | 0.781815i | ||||
\(891\) | 2.12796 | − | 0.434426i | 0.0712893 | − | 0.0145538i | ||||
\(892\) | 15.1293 | − | 1.83703i | 0.506565 | − | 0.0615082i | ||||
\(893\) | 1.01110 | + | 0.430791i | 0.0338353 | + | 0.0144159i | ||||
\(894\) | 22.8962 | − | 3.72099i | 0.765762 | − | 0.124448i | ||||
\(895\) | −0.361649 | − | 2.22532i | −0.0120886 | − | 0.0743841i | ||||
\(896\) | −4.39305 | + | 6.36443i | −0.146761 | + | 0.212621i | ||||
\(897\) | 2.84509 | + | 1.10734i | 0.0949948 | + | 0.0369729i | ||||
\(898\) | 34.9039 | + | 50.5670i | 1.16476 | + | 1.68744i | ||||
\(899\) | −18.1530 | + | 17.4362i | −0.605436 | + | 0.581529i | ||||
\(900\) | 0.309721 | + | 7.68566i | 0.0103240 | + | 0.256189i | ||||
\(901\) | −8.26383 | − | 10.1214i | −0.275308 | − | 0.337191i | ||||
\(902\) | 45.5292 | − | 17.2669i | 1.51596 | − | 0.574926i | ||||
\(903\) | −2.11569 | + | 2.81547i | −0.0704058 | + | 0.0936931i | ||||
\(904\) | −30.5603 | − | 8.85191i | −1.01642 | − | 0.294410i | ||||
\(905\) | −3.67185 | − | 6.99612i | −0.122056 | − | 0.232559i | ||||
\(906\) | 5.55594 | + | 11.7089i | 0.184584 | + | 0.389002i | ||||
\(907\) | 9.29429 | + | 9.67638i | 0.308612 | + | 0.321299i | 0.857388 | − | 0.514670i | \(-0.172086\pi\) |
−0.548776 | + | 0.835969i | \(0.684906\pi\) | |||||||
\(908\) | 40.7069 | − | 11.7909i | 1.35090 | − | 0.391294i | ||||
\(909\) | 2.05203 | − | 5.41075i | 0.0680615 | − | 0.179463i | ||||
\(910\) | −1.38578 | + | 6.49966i | −0.0459382 | + | 0.215461i | ||||
\(911\) | 20.5051 | + | 54.0674i | 0.679363 | + | 1.79133i | 0.608079 | + | 0.793877i | \(0.291940\pi\) |
0.0712840 | + | 0.997456i | \(0.477290\pi\) | |||||||
\(912\) | −0.691113 | − | 0.919704i | −0.0228850 | − | 0.0304545i | ||||
\(913\) | −7.75719 | − | 4.90535i | −0.256726 | − | 0.162343i | ||||
\(914\) | −45.8129 | − | 7.44532i | −1.51536 | − | 0.246269i | ||||
\(915\) | 1.06494i | 0.0352057i | ||||||||
\(916\) | −5.70777 | + | 35.1213i | −0.188590 | + | 1.16044i | ||||
\(917\) | 6.32308 | + | 6.07340i | 0.208806 | + | 0.200561i | ||||
\(918\) | −11.8053 | + | 13.3254i | −0.389633 | + | 0.439805i | ||||
\(919\) | 7.67703 | − | 26.5042i | 0.253242 | − | 0.874292i | −0.728656 | − | 0.684880i | \(-0.759855\pi\) |
0.981898 | − | 0.189412i | \(-0.0606583\pi\) | |||||||
\(920\) | −0.509888 | + | 2.49760i | −0.0168105 | + | 0.0823433i | ||||
\(921\) | 7.19305 | + | 16.8827i | 0.237019 | + | 0.556304i | ||||
\(922\) | 1.20027 | − | 9.88508i | 0.0395287 | − | 0.325548i | ||||
\(923\) | 14.2114 | − | 36.5133i | 0.467773 | − | 1.20185i | ||||
\(924\) | −0.412387 | − | 3.39631i | −0.0135665 | − | 0.111730i | ||||
\(925\) | −15.2982 | + | 8.83239i | −0.503000 | + | 0.290407i | ||||
\(926\) | 59.2999 | − | 25.2653i | 1.94872 | − | 0.830271i | ||||
\(927\) | −6.19521 | + | 3.91761i | −0.203477 | + | 0.128671i | ||||
\(928\) | −46.1525 | − | 17.5033i | −1.51503 | − | 0.574575i | ||||
\(929\) | 5.82665 | + | 17.4530i | 0.191166 | + | 0.572613i | 0.999878 | − | 0.0155917i | \(-0.00496321\pi\) |
−0.808712 | + | 0.588205i | \(0.799835\pi\) | |||||||
\(930\) | −3.87345 | − | 11.6024i | −0.127015 | − | 0.380458i | ||||
\(931\) | 5.05225 | + | 1.91606i | 0.165581 | + | 0.0627965i | ||||
\(932\) | −61.2074 | + | 38.7052i | −2.00492 | + | 1.26783i | ||||
\(933\) | 10.2709 | − | 4.37603i | 0.336255 | − | 0.143265i | ||||
\(934\) | −5.73188 | + | 3.30930i | −0.187553 | + | 0.108284i | ||||
\(935\) | −3.22292 | − | 26.5431i | −0.105401 | − | 0.868053i | ||||
\(936\) | 3.98118 | + | 5.87618i | 0.130129 | + | 0.192069i | ||||
\(937\) | −2.24563 | + | 18.4944i | −0.0733616 | + | 0.604187i | 0.908946 | + | 0.416913i | \(0.136888\pi\) |
−0.982308 | + | 0.187274i | \(0.940035\pi\) | |||||||
\(938\) | 3.07268 | + | 7.21185i | 0.100327 | + | 0.235475i | ||||
\(939\) | −2.56787 | + | 12.5783i | −0.0837994 | + | 0.410477i | ||||
\(940\) | −1.67653 | + | 5.78805i | −0.0546823 | + | 0.188785i | ||||
\(941\) | 18.0433 | − | 20.3667i | 0.588196 | − | 0.663936i | −0.376771 | − | 0.926306i | \(-0.622966\pi\) |
0.964967 | + | 0.262370i | \(0.0845042\pi\) | |||||||
\(942\) | 14.2794 | + | 13.7155i | 0.465247 | + | 0.446875i | ||||
\(943\) | 1.37710 | − | 8.47364i | 0.0448445 | − | 0.275940i | ||||
\(944\) | 12.6423i | 0.411471i | ||||||||
\(945\) | 0.822712 | + | 0.133704i | 0.0267628 | + | 0.00434938i | ||||
\(946\) | −26.2292 | − | 16.5863i | −0.852784 | − | 0.539268i | ||||
\(947\) | −18.3744 | − | 24.4519i | −0.597089 | − | 0.794581i | 0.395191 | − | 0.918599i | \(-0.370678\pi\) |
−0.992280 | + | 0.124018i | \(0.960422\pi\) | |||||||
\(948\) | 12.4314 | + | 32.7790i | 0.403754 | + | 1.06461i | ||||
\(949\) | −11.8650 | + | 8.75589i | −0.385154 | + | 0.284228i | ||||
\(950\) | −1.68234 | + | 4.43596i | −0.0545823 | + | 0.143922i | ||||
\(951\) | −23.3892 | + | 6.77475i | −0.758445 | + | 0.219686i | ||||
\(952\) | 5.98359 | + | 6.22957i | 0.193929 | + | 0.201902i | ||||
\(953\) | −8.93679 | − | 18.8339i | −0.289491 | − | 0.610089i | 0.705649 | − | 0.708562i | \(-0.250656\pi\) |
−0.995140 | + | 0.0984725i | \(0.968604\pi\) | |||||||
\(954\) | 1.66800 | + | 3.17811i | 0.0540036 | + | 0.102895i | ||||
\(955\) | −18.5849 | − | 5.38319i | −0.601394 | − | 0.174196i | ||||
\(956\) | 6.89336 | − | 9.17340i | 0.222947 | − | 0.296689i | ||||
\(957\) | 14.1316 | − | 5.35940i | 0.456809 | − | 0.173245i | ||||
\(958\) | −43.2830 | − | 53.0120i | −1.39841 | − | 1.71274i | ||||
\(959\) | 0.214852 | + | 5.33149i | 0.00693792 | + | 0.172163i | ||||
\(960\) | 14.1517 | − | 13.5929i | 0.456743 | − | 0.438708i | ||||
\(961\) | 10.1782 | + | 14.7456i | 0.328328 | + | 0.475666i | ||||
\(962\) | −25.0000 | + | 46.6452i | −0.806032 | + | 1.50390i | ||||
\(963\) | −7.12468 | + | 10.3219i | −0.229590 | + | 0.332618i | ||||
\(964\) | −2.51078 | − | 15.4495i | −0.0808669 | − | 0.497594i | ||||
\(965\) | 8.35245 | − | 1.35741i | 0.268875 | − | 0.0436964i | ||||
\(966\) | −0.938906 | − | 0.400031i | −0.0302088 | − | 0.0128708i | ||||
\(967\) | 13.7560 | − | 1.67028i | 0.442364 | − | 0.0537127i | 0.103675 | − | 0.994611i | \(-0.466940\pi\) |
0.338689 | + | 0.940898i | \(0.390017\pi\) | |||||||
\(968\) | −12.1188 | + | 2.47407i | −0.389513 | + | 0.0795196i | ||||
\(969\) | −5.86306 | + | 2.78206i | −0.188349 | + | 0.0893725i | ||||
\(970\) | −5.32532 | − | 6.01105i | −0.170986 | − | 0.193003i | ||||
\(971\) | −1.75154 | + | 43.4639i | −0.0562094 | + | 1.39482i | 0.687434 | + | 0.726247i | \(0.258737\pi\) |
−0.743644 | + | 0.668576i | \(0.766904\pi\) | |||||||
\(972\) | 2.31055 | − | 1.73627i | 0.0741111 | − | 0.0556909i | ||||
\(973\) | 5.32581 | + | 4.34839i | 0.170738 | + | 0.139403i | ||||
\(974\) | 56.9213 | + | 50.4279i | 1.82388 | + | 1.61581i | ||||
\(975\) | −3.83766 | + | 8.79486i | −0.122904 | + | 0.281661i | ||||
\(976\) | −0.743877 | + | 0.659018i | −0.0238109 | + | 0.0210946i | ||||
\(977\) | 15.9779 | − | 0.643887i | 0.511178 | − | 0.0205998i | 0.216663 | − | 0.976247i | \(-0.430483\pi\) |
0.294515 | + | 0.955647i | \(0.404842\pi\) | |||||||
\(978\) | −9.86101 | + | 20.7816i | −0.315320 | + | 0.664523i | ||||
\(979\) | −33.1430 | + | 11.0648i | −1.05926 | + | 0.353632i | ||||
\(980\) | −7.09000 | + | 28.7652i | −0.226482 | + | 0.918872i | ||||
\(981\) | 10.2108 | − | 8.33683i | 0.326005 | − | 0.266175i | ||||
\(982\) | 95.0155 | + | 3.82899i | 3.03207 | + | 0.122188i | ||||
\(983\) | −27.2558 | + | 51.9317i | −0.869326 | + | 1.65636i | −0.121377 | + | 0.992606i | \(0.538731\pi\) |
−0.747949 | + | 0.663756i | \(0.768961\pi\) | |||||||
\(984\) | 13.8259 | − | 14.3942i | 0.440752 | − | 0.458872i | ||||
\(985\) | 18.0691 | + | 6.03234i | 0.575728 | + | 0.192206i | ||||
\(986\) | −66.2132 | + | 104.708i | −2.10866 | + | 3.33458i | ||||
\(987\) | −0.657977 | − | 0.345333i | −0.0209436 | − | 0.0109921i | ||||
\(988\) | 1.60881 | + | 8.24493i | 0.0511829 | + | 0.262306i | ||||
\(989\) | −4.84459 | + | 2.54264i | −0.154049 | + | 0.0808512i | ||||
\(990\) | −0.591003 | + | 7.32089i | −0.0187833 | + | 0.232673i | ||||
\(991\) | 19.2113 | + | 33.2749i | 0.610267 | + | 1.05701i | 0.991195 | + | 0.132409i | \(0.0422712\pi\) |
−0.380928 | + | 0.924605i | \(0.624395\pi\) | |||||||
\(992\) | 12.8278 | − | 22.2185i | 0.407284 | − | 0.705437i | ||||
\(993\) | −16.4128 | − | 11.3290i | −0.520846 | − | 0.359514i | ||||
\(994\) | −5.13392 | + | 12.0497i | −0.162838 | + | 0.382195i | ||||
\(995\) | 10.5004 | + | 6.06243i | 0.332886 | + | 0.192192i | ||||
\(996\) | −12.1247 | − | 1.47221i | −0.384186 | − | 0.0466486i | ||||
\(997\) | 26.5415 | − | 2.14265i | 0.840577 | − | 0.0678584i | 0.347325 | − | 0.937745i | \(-0.387090\pi\) |
0.493252 | + | 0.869887i | \(0.335808\pi\) | |||||||
\(998\) | 5.26241 | + | 18.1680i | 0.166579 | + | 0.575097i | ||||
\(999\) | 5.99664 | + | 2.84544i | 0.189725 | + | 0.0900258i |
(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 | 507.2.t.b.205.2 | ✓ | 360 | |
169.108 | even | 78 | inner | 507.2.t.b.277.2 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.t.b.205.2 | ✓ | 360 | 1.1 | even | 1 | trivial | |
507.2.t.b.277.2 | yes | 360 | 169.108 | even | 78 | inner |