Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.n (of order \(15\), degree \(8\), not 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: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 379.1 | ||
Root | \(0.669131 - 0.743145i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 891.379 |
Dual form | 891.2.n.d.757.1 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.604528 | + | 0.128496i | 0.427466 | + | 0.0908607i | 0.416621 | − | 0.909080i | \(-0.363214\pi\) |
0.0108456 | + | 0.999941i | \(0.496548\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.47815 | − | 0.658114i | −0.739074 | − | 0.329057i | ||||
\(5\) | 2.56082 | − | 0.544320i | 1.14524 | − | 0.243427i | 0.404056 | − | 0.914734i | \(-0.367600\pi\) |
0.741179 | + | 0.671307i | \(0.234267\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.313585 | − | 2.98357i | −0.118524 | − | 1.12768i | −0.878504 | − | 0.477735i | \(-0.841458\pi\) |
0.759980 | − | 0.649947i | \(-0.225209\pi\) | |||||||
\(8\) | −1.80902 | − | 1.31433i | −0.639584 | − | 0.464685i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.61803 | 0.511667 | ||||||||
\(11\) | 1.62543 | + | 2.89102i | 0.490084 | + | 0.871675i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.18030 | − | 1.31086i | 0.327357 | − | 0.363566i | −0.556890 | − | 0.830586i | \(-0.688006\pi\) |
0.884247 | + | 0.467020i | \(0.154672\pi\) | |||||||
\(14\) | 0.193806 | − | 1.84395i | 0.0517969 | − | 0.492815i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.24064 | + | 1.37787i | 0.310159 | + | 0.344467i | ||||
\(17\) | 0.500000 | − | 1.53884i | 0.121268 | − | 0.373224i | −0.871935 | − | 0.489622i | \(-0.837135\pi\) |
0.993203 | + | 0.116398i | \(0.0371348\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.73607 | − | 3.44095i | −1.08653 | − | 0.789409i | −0.107719 | − | 0.994181i | \(-0.534355\pi\) |
−0.978810 | + | 0.204772i | \(0.934355\pi\) | |||||||
\(20\) | −4.14350 | − | 0.880728i | −0.926515 | − | 0.196937i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.611130 | + | 1.95656i | 0.130293 | + | 0.417141i | ||||
\(23\) | −1.73607 | − | 3.00696i | −0.361995 | − | 0.626994i | 0.626294 | − | 0.779587i | \(-0.284571\pi\) |
−0.988289 | + | 0.152593i | \(0.951238\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.69381 | − | 0.754131i | 0.338761 | − | 0.150826i | ||||
\(26\) | 0.881966 | − | 0.640786i | 0.172968 | − | 0.125668i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.50000 | + | 4.61653i | −0.283473 | + | 0.872441i | ||||
\(29\) | −0.467465 | − | 4.44764i | −0.0868062 | − | 0.825905i | −0.948137 | − | 0.317861i | \(-0.897035\pi\) |
0.861331 | − | 0.508044i | \(-0.169631\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.90977 | − | 2.12101i | 0.343004 | − | 0.380945i | −0.546818 | − | 0.837251i | \(-0.684161\pi\) |
0.889823 | + | 0.456306i | \(0.150828\pi\) | |||||||
\(32\) | 2.80902 | + | 4.86536i | 0.496569 | + | 0.860082i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.500000 | − | 0.866025i | 0.0857493 | − | 0.148522i | ||||
\(35\) | −2.42705 | − | 7.46969i | −0.410246 | − | 1.26261i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.190983 | + | 0.138757i | −0.0313974 | + | 0.0228116i | −0.603373 | − | 0.797459i | \(-0.706177\pi\) |
0.571976 | + | 0.820270i | \(0.306177\pi\) | |||||||
\(38\) | −2.42094 | − | 2.68872i | −0.392728 | − | 0.436169i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −5.34799 | − | 2.38108i | −0.845591 | − | 0.376481i | ||||
\(41\) | 1.24852 | − | 11.8788i | 0.194986 | − | 1.85516i | −0.261208 | − | 0.965283i | \(-0.584121\pi\) |
0.456194 | − | 0.889881i | \(-0.349212\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.11803 | + | 5.40059i | −0.475496 | + | 0.823583i | −0.999606 | − | 0.0280676i | \(-0.991065\pi\) |
0.524110 | + | 0.851650i | \(0.324398\pi\) | |||||||
\(44\) | −0.500000 | − | 5.34307i | −0.0753778 | − | 0.805498i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.663119 | − | 2.04087i | −0.0977716 | − | 0.300910i | ||||
\(47\) | 1.47815 | − | 0.658114i | 0.215610 | − | 0.0959958i | −0.296090 | − | 0.955160i | \(-0.595683\pi\) |
0.511700 | + | 0.859164i | \(0.329016\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.95630 | + | 0.415823i | −0.279471 | + | 0.0594033i | ||||
\(50\) | 1.12086 | − | 0.238246i | 0.158513 | − | 0.0336930i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.60735 | + | 1.16087i | −0.361575 | + | 0.160983i | ||||
\(53\) | −2.97214 | − | 9.14729i | −0.408254 | − | 1.25648i | −0.918147 | − | 0.396240i | \(-0.870315\pi\) |
0.509893 | − | 0.860238i | \(-0.329685\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.73607 | + | 6.51864i | 0.773451 | + | 0.878973i | ||||
\(56\) | −3.35410 | + | 5.80948i | −0.448211 | + | 0.776324i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.288910 | − | 2.74879i | 0.0379357 | − | 0.360934i | ||||
\(59\) | 9.43349 | + | 4.20006i | 1.22814 | + | 0.546801i | 0.915210 | − | 0.402977i | \(-0.132024\pi\) |
0.312925 | + | 0.949778i | \(0.398691\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.25542 | + | 5.83674i | 0.672888 | + | 0.747317i | 0.978817 | − | 0.204737i | \(-0.0656338\pi\) |
−0.305929 | + | 0.952054i | \(0.598967\pi\) | |||||||
\(62\) | 1.42705 | − | 1.03681i | 0.181236 | − | 0.131675i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.0729490 | − | 0.224514i | −0.00911863 | − | 0.0280642i | ||||
\(65\) | 2.30902 | − | 3.99933i | 0.286398 | − | 0.496056i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.78115 | + | 8.28120i | 0.584111 | + | 1.01171i | 0.994986 | + | 0.100018i | \(0.0318900\pi\) |
−0.410875 | + | 0.911692i | \(0.634777\pi\) | |||||||
\(68\) | −1.75181 | + | 1.94558i | −0.212438 | + | 0.235936i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.507392 | − | 4.82751i | −0.0606449 | − | 0.576998i | ||||
\(71\) | −1.71885 | + | 5.29007i | −0.203990 | + | 0.627815i | 0.795764 | + | 0.605607i | \(0.207070\pi\) |
−0.999753 | + | 0.0222083i | \(0.992930\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.61803 | − | 1.90211i | 0.306418 | − | 0.222625i | −0.423940 | − | 0.905690i | \(-0.639353\pi\) |
0.730358 | + | 0.683065i | \(0.239353\pi\) | |||||||
\(74\) | −0.133284 | + | 0.0593421i | −0.0154940 | + | 0.00689838i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.73607 | + | 8.20311i | 0.543264 | + | 0.940961i | ||||
\(77\) | 8.11584 | − | 5.75615i | 0.924885 | − | 0.655974i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.26515 | − | 1.96937i | −1.04241 | − | 0.221571i | −0.345268 | − | 0.938504i | \(-0.612212\pi\) |
−0.697142 | + | 0.716933i | \(0.745545\pi\) | |||||||
\(80\) | 3.92705 | + | 2.85317i | 0.439058 | + | 0.318994i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.28115 | − | 7.02067i | 0.251911 | − | 0.775303i | ||||
\(83\) | 0.473881 | + | 0.526298i | 0.0520152 | + | 0.0577687i | 0.768591 | − | 0.639741i | \(-0.220958\pi\) |
−0.716576 | + | 0.697509i | \(0.754292\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.442790 | − | 4.21286i | 0.0480273 | − | 0.456949i | ||||
\(86\) | −2.57890 | + | 2.86416i | −0.278090 | + | 0.308850i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.859324 | − | 7.36624i | 0.0916042 | − | 0.785244i | ||||
\(89\) | 0.527864 | 0.0559535 | 0.0279767 | − | 0.999609i | \(-0.491094\pi\) | ||||
0.0279767 | + | 0.999609i | \(0.491094\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.28115 | − | 3.11044i | −0.448787 | − | 0.326063i | ||||
\(92\) | 0.587244 | + | 5.58726i | 0.0612245 | + | 0.582512i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.978148 | − | 0.207912i | 0.100888 | − | 0.0214445i | ||||
\(95\) | −14.0012 | − | 6.23374i | −1.43649 | − | 0.639568i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.7278 | + | 2.91792i | 1.39384 | + | 0.296270i | 0.842809 | − | 0.538213i | \(-0.180900\pi\) |
0.551033 | + | 0.834483i | \(0.314234\pi\) | |||||||
\(98\) | −1.23607 | −0.124862 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.00000 | −0.300000 | ||||||||
\(101\) | 2.93444 | + | 0.623735i | 0.291988 | + | 0.0620640i | 0.351577 | − | 0.936159i | \(-0.385646\pi\) |
−0.0595888 | + | 0.998223i | \(0.518979\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.48127 | − | 2.44042i | −0.540086 | − | 0.240462i | 0.118518 | − | 0.992952i | \(-0.462186\pi\) |
−0.658603 | + | 0.752490i | \(0.728852\pi\) | |||||||
\(104\) | −3.85808 | + | 0.820060i | −0.378316 | + | 0.0804135i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.621346 | − | 5.91171i | −0.0603504 | − | 0.574196i | ||||
\(107\) | 3.42705 | + | 2.48990i | 0.331306 | + | 0.240708i | 0.740984 | − | 0.671522i | \(-0.234359\pi\) |
−0.409679 | + | 0.912230i | \(0.634359\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(110\) | 2.62999 | + | 4.67777i | 0.250760 | + | 0.446008i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.72191 | − | 4.13360i | 0.351687 | − | 0.390588i | ||||
\(113\) | −0.0740275 | + | 0.704324i | −0.00696392 | + | 0.0662573i | −0.997452 | − | 0.0713418i | \(-0.977272\pi\) |
0.990488 | + | 0.137599i | \(0.0439386\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.08251 | − | 6.75531i | −0.567197 | − | 0.629936i | ||||
\(116\) | −2.23607 | + | 6.88191i | −0.207614 | + | 0.638969i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.16312 | + | 3.75123i | 0.475304 | + | 0.345328i | ||||
\(119\) | −4.74803 | − | 1.00922i | −0.435251 | − | 0.0925155i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.71598 | + | 9.39827i | −0.519635 | + | 0.854389i | ||||
\(122\) | 2.42705 | + | 4.20378i | 0.219735 | + | 0.380592i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.21878 | + | 1.87832i | −0.378858 | + | 0.168678i | ||||
\(125\) | −6.66312 | + | 4.84104i | −0.595967 | + | 0.432996i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.14590 | + | 3.52671i | −0.101682 | + | 0.312945i | −0.988937 | − | 0.148333i | \(-0.952609\pi\) |
0.887255 | + | 0.461279i | \(0.152609\pi\) | |||||||
\(128\) | −1.18974 | − | 11.3196i | −0.105159 | − | 1.00052i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.90977 | − | 2.12101i | 0.167498 | − | 0.186025i | ||||
\(131\) | 3.57295 | + | 6.18853i | 0.312170 | + | 0.540694i | 0.978832 | − | 0.204666i | \(-0.0656108\pi\) |
−0.666662 | + | 0.745360i | \(0.732277\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.78115 | + | 15.2094i | −0.761423 | + | 1.31882i | ||||
\(134\) | 1.82624 | + | 5.62058i | 0.157763 | + | 0.485544i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.92705 | + | 2.12663i | −0.250993 | + | 0.182357i | ||||
\(137\) | 4.99983 | + | 5.55288i | 0.427165 | + | 0.474414i | 0.917853 | − | 0.396921i | \(-0.129921\pi\) |
−0.490688 | + | 0.871335i | \(0.663255\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.780261 | − | 0.347395i | −0.0661809 | − | 0.0294656i | 0.373379 | − | 0.927679i | \(-0.378199\pi\) |
−0.439560 | + | 0.898213i | \(0.644866\pi\) | |||||||
\(140\) | −1.32837 | + | 12.6386i | −0.112268 | + | 1.06816i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.71885 | + | 2.97713i | −0.144242 | + | 0.249835i | ||||
\(143\) | 5.70820 | + | 1.28157i | 0.477344 | + | 0.107170i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.61803 | − | 11.1352i | −0.300461 | − | 0.924725i | ||||
\(146\) | 1.82709 | − | 0.813473i | 0.151211 | − | 0.0673235i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.373619 | − | 0.0794152i | 0.0307113 | − | 0.00652789i | ||||
\(149\) | −14.6722 | + | 3.11868i | −1.20199 | + | 0.255492i | −0.765035 | − | 0.643989i | \(-0.777278\pi\) |
−0.436960 | + | 0.899481i | \(0.643945\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.82709 | − | 0.813473i | 0.148687 | − | 0.0661995i | −0.331044 | − | 0.943615i | \(-0.607401\pi\) |
0.479731 | + | 0.877416i | \(0.340734\pi\) | |||||||
\(152\) | 4.04508 | + | 12.4495i | 0.328100 | + | 1.00979i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.64590 | − | 2.43690i | 0.454959 | − | 0.196371i | ||||
\(155\) | 3.73607 | − | 6.47106i | 0.300088 | − | 0.519768i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.387613 | − | 3.68789i | 0.0309349 | − | 0.294326i | −0.968106 | − | 0.250541i | \(-0.919392\pi\) |
0.999041 | − | 0.0437851i | \(-0.0139417\pi\) | |||||||
\(158\) | −5.34799 | − | 2.38108i | −0.425463 | − | 0.189428i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 9.84171 | + | 10.9303i | 0.778055 | + | 0.864118i | ||||
\(161\) | −8.42705 | + | 6.12261i | −0.664145 | + | 0.482529i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.64590 | + | 17.3763i | 0.442221 | + | 1.36102i | 0.885503 | + | 0.464634i | \(0.153814\pi\) |
−0.443282 | + | 0.896382i | \(0.646186\pi\) | |||||||
\(164\) | −9.66312 | + | 16.7370i | −0.754563 | + | 1.30694i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.218847 | + | 0.379054i | 0.0169858 | + | 0.0294203i | ||||
\(167\) | 6.71435 | − | 7.45704i | 0.519572 | − | 0.577043i | −0.425064 | − | 0.905163i | \(-0.639748\pi\) |
0.944636 | + | 0.328120i | \(0.106415\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.03363 | + | 9.83437i | 0.0795103 | + | 0.756490i | ||||
\(170\) | 0.809017 | − | 2.48990i | 0.0620488 | − | 0.190966i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.16312 | − | 5.93085i | 0.622432 | − | 0.452223i | ||||
\(173\) | 14.0521 | − | 6.25641i | 1.06836 | − | 0.475666i | 0.204227 | − | 0.978924i | \(-0.434532\pi\) |
0.864136 | + | 0.503258i | \(0.167865\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.78115 | − | 4.81710i | −0.210235 | − | 0.364138i | ||||
\(176\) | −1.96688 | + | 5.82632i | −0.148259 | + | 0.439176i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.319109 | + | 0.0678287i | 0.0239182 | + | 0.00508397i | ||||
\(179\) | 1.80902 | + | 1.31433i | 0.135212 | + | 0.0982375i | 0.653335 | − | 0.757069i | \(-0.273369\pi\) |
−0.518123 | + | 0.855306i | \(0.673369\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.39919 | + | 16.6170i | −0.401318 | + | 1.23513i | 0.522612 | + | 0.852571i | \(0.324958\pi\) |
−0.923930 | + | 0.382560i | \(0.875042\pi\) | |||||||
\(182\) | −2.18840 | − | 2.43046i | −0.162215 | − | 0.180158i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.811552 | + | 7.72140i | −0.0598284 | + | 0.569229i | ||||
\(185\) | −0.413545 | + | 0.459289i | −0.0304045 | + | 0.0337676i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.26153 | − | 1.05576i | 0.384761 | − | 0.0772051i | ||||
\(188\) | −2.61803 | −0.190940 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.66312 | − | 5.56758i | −0.555941 | − | 0.403915i | ||||
\(191\) | 0.781051 | + | 7.43120i | 0.0565149 | + | 0.537703i | 0.985750 | + | 0.168215i | \(0.0538003\pi\) |
−0.929235 | + | 0.369488i | \(0.879533\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 18.1567 | − | 3.85932i | 1.30695 | − | 0.277800i | 0.498767 | − | 0.866736i | \(-0.333786\pi\) |
0.808179 | + | 0.588936i | \(0.200453\pi\) | |||||||
\(194\) | 7.92388 | + | 3.52794i | 0.568901 | + | 0.253291i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.16535 | + | 0.672816i | 0.226097 | + | 0.0480583i | ||||
\(197\) | 24.3820 | 1.73714 | 0.868572 | − | 0.495564i | \(-0.165039\pi\) | ||||
0.868572 | + | 0.495564i | \(0.165039\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.7082 | −1.18441 | −0.592207 | − | 0.805786i | \(-0.701743\pi\) | ||||
−0.592207 | + | 0.805786i | \(0.701743\pi\) | |||||||
\(200\) | −4.05530 | − | 0.861981i | −0.286753 | − | 0.0609512i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.69381 | + | 0.754131i | 0.119176 | + | 0.0530605i | ||||
\(203\) | −13.1232 | + | 2.78943i | −0.921070 | + | 0.195779i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.26866 | − | 31.0992i | −0.228293 | − | 2.17206i | ||||
\(206\) | −3.00000 | − | 2.17963i | −0.209020 | − | 0.151862i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.27051 | 0.226769 | ||||||||
\(209\) | 2.24974 | − | 19.2851i | 0.155618 | − | 1.33398i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −14.9019 | + | 16.5502i | −1.02589 | + | 1.13936i | −0.0357366 | + | 0.999361i | \(0.511378\pi\) |
−0.990151 | + | 0.140002i | \(0.955289\pi\) | |||||||
\(212\) | −1.62670 | + | 15.4771i | −0.111722 | + | 1.06297i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.75181 | + | 1.94558i | 0.119751 | + | 0.132997i | ||||
\(215\) | −5.04508 | + | 15.5272i | −0.344072 | + | 1.05894i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.92705 | − | 5.03280i | −0.470239 | − | 0.341649i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.18875 | − | 13.4105i | −0.282405 | − | 0.904135i | ||||
\(221\) | −1.42705 | − | 2.47172i | −0.0959938 | − | 0.166266i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.646976 | − | 0.288052i | 0.0433247 | − | 0.0192894i | −0.384960 | − | 0.922933i | \(-0.625785\pi\) |
0.428285 | + | 0.903644i | \(0.359118\pi\) | |||||||
\(224\) | 13.6353 | − | 9.90659i | 0.911044 | − | 0.661912i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.135255 | + | 0.416272i | −0.00899702 | + | 0.0276900i | ||||
\(227\) | 2.60156 | + | 24.7522i | 0.172672 | + | 1.64286i | 0.646983 | + | 0.762504i | \(0.276030\pi\) |
−0.474312 | + | 0.880357i | \(0.657303\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.69131 | − | 7.43145i | 0.442174 | − | 0.491084i | −0.480321 | − | 0.877093i | \(-0.659480\pi\) |
0.922495 | + | 0.386009i | \(0.126147\pi\) | |||||||
\(230\) | −2.80902 | − | 4.86536i | −0.185221 | − | 0.320812i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.00000 | + | 8.66025i | −0.328266 | + | 0.568574i | ||||
\(233\) | 7.51722 | + | 23.1356i | 0.492470 | + | 1.51567i | 0.820863 | + | 0.571124i | \(0.193493\pi\) |
−0.328394 | + | 0.944541i | \(0.606507\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.42705 | − | 2.48990i | 0.223556 | − | 0.162423i | ||||
\(236\) | −11.1800 | − | 12.4166i | −0.727754 | − | 0.808253i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.74064 | − | 1.22021i | −0.177649 | − | 0.0790945i | ||||
\(239\) | −0.267834 | + | 2.54827i | −0.0173247 | + | 0.164834i | −0.999763 | − | 0.0217520i | \(-0.993076\pi\) |
0.982439 | + | 0.186586i | \(0.0597422\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.5623 | − | 20.0265i | 0.744794 | − | 1.29002i | −0.205498 | − | 0.978658i | \(-0.565881\pi\) |
0.950291 | − | 0.311363i | \(-0.100785\pi\) | |||||||
\(242\) | −4.66312 | + | 4.94704i | −0.299757 | + | 0.318008i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.92705 | − | 12.0862i | −0.251404 | − | 0.773741i | ||||
\(245\) | −4.78339 | + | 2.12970i | −0.305599 | + | 0.136062i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.1006 | + | 2.14695i | −0.642685 | + | 0.136607i | ||||
\(248\) | −6.24250 | + | 1.32689i | −0.396399 | + | 0.0842573i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.65010 | + | 2.07036i | −0.294098 | + | 0.130941i | ||||
\(251\) | −2.40983 | − | 7.41669i | −0.152107 | − | 0.468138i | 0.845749 | − | 0.533581i | \(-0.179154\pi\) |
−0.997856 | + | 0.0654431i | \(0.979154\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.87132 | − | 9.90659i | 0.369127 | − | 0.622822i | ||||
\(254\) | −1.14590 | + | 1.98475i | −0.0719000 | + | 0.124535i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.685948 | − | 6.52636i | 0.0428717 | − | 0.407897i | ||||
\(257\) | −10.6645 | − | 4.74815i | −0.665234 | − | 0.296181i | 0.0462020 | − | 0.998932i | \(-0.485288\pi\) |
−0.711436 | + | 0.702751i | \(0.751955\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.473881 | + | 0.526298i | 0.0294455 | + | 0.0327026i | ||||
\(260\) | −6.04508 | + | 4.39201i | −0.374900 | + | 0.272381i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.36475 | + | 4.20025i | 0.0843142 | + | 0.259493i | ||||
\(263\) | 8.16312 | − | 14.1389i | 0.503359 | − | 0.871844i | −0.496633 | − | 0.867961i | \(-0.665430\pi\) |
0.999992 | − | 0.00388355i | \(-0.00123617\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.5902 | − | 21.8068i | −0.773408 | − | 1.33958i | ||||
\(266\) | −7.26281 | + | 8.06617i | −0.445312 | + | 0.494569i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.61728 | − | 15.3874i | −0.0987910 | − | 0.939934i | ||||
\(269\) | 4.79837 | − | 14.7679i | 0.292562 | − | 0.900413i | −0.691467 | − | 0.722408i | \(-0.743035\pi\) |
0.984029 | − | 0.178006i | \(-0.0569645\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 22.0623 | − | 16.0292i | 1.34019 | − | 0.973705i | 0.340753 | − | 0.940153i | \(-0.389318\pi\) |
0.999437 | − | 0.0335518i | \(-0.0106819\pi\) | |||||||
\(272\) | 2.74064 | − | 1.22021i | 0.166175 | − | 0.0739861i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.30902 | + | 3.99933i | 0.139493 | + | 0.241609i | ||||
\(275\) | 4.93336 | + | 3.67104i | 0.297493 | + | 0.221372i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −29.8944 | − | 6.35426i | −1.79618 | − | 0.381791i | −0.815713 | − | 0.578457i | \(-0.803655\pi\) |
−0.980470 | + | 0.196667i | \(0.936988\pi\) | |||||||
\(278\) | −0.427051 | − | 0.310271i | −0.0256128 | − | 0.0186088i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.42705 | + | 16.7027i | −0.324328 | + | 0.998180i | ||||
\(281\) | −0.511170 | − | 0.567712i | −0.0304939 | − | 0.0338669i | 0.727705 | − | 0.685890i | \(-0.240587\pi\) |
−0.758199 | + | 0.652023i | \(0.773920\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.0188507 | + | 0.179352i | −0.00112055 | + | 0.0106614i | −0.995068 | − | 0.0991963i | \(-0.968373\pi\) |
0.993947 | + | 0.109858i | \(0.0350395\pi\) | |||||||
\(284\) | 6.02218 | − | 6.68830i | 0.357350 | − | 0.396878i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.28609 | + | 1.50823i | 0.194311 | + | 0.0891836i | ||||
\(287\) | −35.8328 | −2.11514 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.6353 | + | 8.45351i | 0.684427 | + | 0.497265i | ||||
\(290\) | −0.756375 | − | 7.19643i | −0.0444159 | − | 0.422589i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.12165 | + | 1.08864i | −0.299722 | + | 0.0637078i | ||||
\(293\) | 0.0509101 | + | 0.0226667i | 0.00297420 | + | 0.00132420i | 0.408223 | − | 0.912882i | \(-0.366149\pi\) |
−0.405249 | + | 0.914206i | \(0.632815\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 26.4437 | + | 5.62078i | 1.53961 | + | 0.327254i | ||||
\(296\) | 0.527864 | 0.0306815 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.27051 | −0.537026 | ||||||||
\(299\) | −5.99077 | − | 1.27338i | −0.346455 | − | 0.0736414i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.0908 | + | 7.60931i | 0.985097 | + | 0.438593i | ||||
\(302\) | 1.20906 | − | 0.256993i | 0.0695734 | − | 0.0147883i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.13456 | − | 10.7946i | −0.0650716 | − | 0.619115i | ||||
\(305\) | 16.6353 | + | 12.0862i | 0.952532 | + | 0.692055i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.562306 | 0.0320925 | 0.0160462 | − | 0.999871i | \(-0.494892\pi\) | ||||
0.0160462 | + | 0.999871i | \(0.494892\pi\) | |||||||
\(308\) | −15.7846 | + | 3.16729i | −0.899411 | + | 0.180473i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.09007 | − | 3.43187i | 0.175504 | − | 0.194917i | ||||
\(311\) | −0.264234 | + | 2.51402i | −0.0149833 | + | 0.142557i | −0.999456 | − | 0.0329813i | \(-0.989500\pi\) |
0.984473 | + | 0.175538i | \(0.0561665\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 17.2855 | + | 19.1975i | 0.977036 | + | 1.08511i | 0.996356 | + | 0.0852948i | \(0.0271832\pi\) |
−0.0193200 | + | 0.999813i | \(0.506150\pi\) | |||||||
\(314\) | 0.708204 | − | 2.17963i | 0.0399663 | − | 0.123004i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.3992 | + | 9.00854i | 0.697509 | + | 0.506770i | ||||
\(317\) | 18.9376 | + | 4.02531i | 1.06364 | + | 0.226084i | 0.706317 | − | 0.707896i | \(-0.250355\pi\) |
0.357325 | + | 0.933980i | \(0.383689\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.0984 | − | 8.58076i | 0.677379 | − | 0.480430i | ||||
\(320\) | −0.309017 | − | 0.535233i | −0.0172746 | − | 0.0299204i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.88113 | + | 2.61845i | −0.327742 | + | 0.145920i | ||||
\(323\) | −7.66312 | + | 5.56758i | −0.426387 | + | 0.309789i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.01064 | − | 3.11044i | 0.0560604 | − | 0.172536i | ||||
\(326\) | 1.18031 | + | 11.2299i | 0.0653716 | + | 0.621969i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −17.8713 | + | 19.8481i | −0.986776 | + | 1.09593i | ||||
\(329\) | −2.42705 | − | 4.20378i | −0.133808 | − | 0.231762i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.2984 | + | 23.0335i | −0.730945 | + | 1.26603i | 0.225535 | + | 0.974235i | \(0.427587\pi\) |
−0.956480 | + | 0.291798i | \(0.905746\pi\) | |||||||
\(332\) | −0.354102 | − | 1.08981i | −0.0194339 | − | 0.0598113i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.01722 | − | 3.64522i | 0.274530 | − | 0.199458i | ||||
\(335\) | 16.7513 | + | 18.6042i | 0.915222 | + | 1.01646i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.266569 | − | 0.118684i | −0.0145209 | − | 0.00646514i | 0.399463 | − | 0.916749i | \(-0.369196\pi\) |
−0.413984 | + | 0.910284i | \(0.635863\pi\) | |||||||
\(338\) | −0.638821 | + | 6.07798i | −0.0347473 | + | 0.330598i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.42705 | + | 5.93583i | −0.185858 | + | 0.321915i | ||||
\(341\) | 9.23607 | + | 2.07363i | 0.500161 | + | 0.112293i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.63525 | − | 14.2658i | −0.250280 | − | 0.770283i | ||||
\(344\) | 12.7387 | − | 5.67165i | 0.686826 | − | 0.305795i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.29884 | − | 1.97653i | 0.499909 | − | 0.106259i | ||||
\(347\) | 20.4866 | − | 4.35456i | 1.09978 | − | 0.233765i | 0.377942 | − | 0.925829i | \(-0.376632\pi\) |
0.721836 | + | 0.692064i | \(0.243299\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.24929 | + | 4.11805i | −0.495103 | + | 0.220434i | −0.639070 | − | 0.769148i | \(-0.720681\pi\) |
0.143967 | + | 0.989582i | \(0.454014\pi\) | |||||||
\(350\) | −1.06231 | − | 3.26944i | −0.0567826 | − | 0.174759i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.50000 | + | 16.0292i | −0.506352 | + | 0.854359i | ||||
\(353\) | 5.23607 | − | 9.06914i | 0.278688 | − | 0.482701i | −0.692371 | − | 0.721542i | \(-0.743434\pi\) |
0.971059 | + | 0.238840i | \(0.0767672\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.52218 | + | 14.4825i | −0.0807887 | + | 0.768653i | ||||
\(356\) | −0.780261 | − | 0.347395i | −0.0413537 | − | 0.0184119i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.924716 | + | 1.02700i | 0.0488727 | + | 0.0542787i | ||||
\(359\) | 10.3262 | − | 7.50245i | 0.544998 | − | 0.395964i | −0.280940 | − | 0.959725i | \(-0.590646\pi\) |
0.825938 | + | 0.563761i | \(0.190646\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.71885 | + | 14.5231i | 0.248360 | + | 0.764375i | ||||
\(362\) | −5.39919 | + | 9.35167i | −0.283775 | + | 0.491513i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.28115 | + | 7.41517i | 0.224393 | + | 0.388661i | ||||
\(365\) | 5.66897 | − | 6.29602i | 0.296727 | − | 0.329549i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.581419 | − | 5.53184i | −0.0303498 | − | 0.288759i | −0.999161 | − | 0.0409586i | \(-0.986959\pi\) |
0.968811 | − | 0.247801i | \(-0.0797079\pi\) | |||||||
\(368\) | 1.98936 | − | 6.12261i | 0.103702 | − | 0.319163i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.309017 | + | 0.224514i | −0.0160650 | + | 0.0116719i | ||||
\(371\) | −26.3595 | + | 11.7360i | −1.36852 | + | 0.609304i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.20820 | + | 3.82472i | 0.114336 | + | 0.198037i | 0.917514 | − | 0.397703i | \(-0.130192\pi\) |
−0.803178 | + | 0.595739i | \(0.796859\pi\) | |||||||
\(374\) | 3.31641 | + | 0.0378495i | 0.171487 | + | 0.00195715i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.53897 | − | 0.752232i | −0.182509 | − | 0.0387934i | ||||
\(377\) | −6.38197 | − | 4.63677i | −0.328688 | − | 0.238806i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.489357 | − | 1.50609i | 0.0251366 | − | 0.0773624i | −0.937701 | − | 0.347443i | \(-0.887050\pi\) |
0.962838 | + | 0.270080i | \(0.0870502\pi\) | |||||||
\(380\) | 16.5934 | + | 18.4288i | 0.851221 | + | 0.945377i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.482716 | + | 4.59274i | −0.0246979 | + | 0.234985i | ||||
\(383\) | 17.9919 | − | 19.9821i | 0.919346 | − | 1.02104i | −0.0803598 | − | 0.996766i | \(-0.525607\pi\) |
0.999705 | − | 0.0242708i | \(-0.00772639\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 17.6500 | − | 19.1581i | 0.899529 | − | 0.976386i | ||||
\(386\) | 11.4721 | 0.583916 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −18.3713 | − | 13.3475i | −0.932663 | − | 0.677619i | ||||
\(389\) | −2.53696 | − | 24.1376i | −0.128629 | − | 1.22382i | −0.848303 | − | 0.529511i | \(-0.822376\pi\) |
0.719674 | − | 0.694312i | \(-0.244291\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.49527 | + | 1.16805i | −0.277908 | + | 0.0590711i | ||||
\(392\) | 4.08550 | + | 1.81898i | 0.206349 | + | 0.0918724i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 14.7396 | + | 3.13300i | 0.742570 | + | 0.157838i | ||||
\(395\) | −24.7984 | −1.24774 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −38.7082 | −1.94271 | −0.971355 | − | 0.237635i | \(-0.923628\pi\) | ||||
−0.971355 | + | 0.237635i | \(0.923628\pi\) | |||||||
\(398\) | −10.1006 | − | 2.14695i | −0.506297 | − | 0.107617i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.14049 | + | 1.39824i | 0.157024 | + | 0.0699118i | ||||
\(401\) | 25.5200 | − | 5.42445i | 1.27441 | − | 0.270884i | 0.479462 | − | 0.877562i | \(-0.340832\pi\) |
0.794947 | + | 0.606678i | \(0.207498\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.526242 | − | 5.00686i | −0.0262140 | − | 0.249410i | ||||
\(404\) | −3.92705 | − | 2.85317i | −0.195378 | − | 0.141950i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.29180 | −0.411515 | ||||||||
\(407\) | −0.711579 | − | 0.326596i | −0.0352716 | − | 0.0161888i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.39773 | + | 8.21601i | −0.365794 | + | 0.406255i | −0.897742 | − | 0.440522i | \(-0.854794\pi\) |
0.531948 | + | 0.846777i | \(0.321460\pi\) | |||||||
\(410\) | 2.02014 | − | 19.2204i | 0.0997677 | − | 0.949226i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.49606 | + | 7.21460i | 0.320038 | + | 0.355438i | ||||
\(413\) | 9.57295 | − | 29.4625i | 0.471054 | − | 1.44976i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.50000 | + | 1.08981i | 0.0736321 | + | 0.0534969i | ||||
\(416\) | 9.69328 | + | 2.06037i | 0.475252 | + | 0.101018i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.83810 | − | 11.3693i | 0.187727 | − | 0.556090i | ||||
\(419\) | −8.25329 | − | 14.2951i | −0.403200 | − | 0.698362i | 0.590911 | − | 0.806737i | \(-0.298769\pi\) |
−0.994110 | + | 0.108375i | \(0.965435\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −34.0483 | + | 15.1593i | −1.65941 | + | 0.738818i | −0.999917 | − | 0.0128899i | \(-0.995897\pi\) |
−0.659496 | + | 0.751708i | \(0.729230\pi\) | |||||||
\(422\) | −11.1353 | + | 8.09024i | −0.542056 | + | 0.393827i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.64590 | + | 20.4540i | −0.322753 | + | 0.993333i | ||||
\(425\) | −0.313585 | − | 2.98357i | −0.0152111 | − | 0.144724i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 15.7663 | − | 17.5102i | 0.762983 | − | 0.847378i | ||||
\(428\) | −3.42705 | − | 5.93583i | −0.165653 | − | 0.286919i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −5.04508 | + | 8.73834i | −0.243296 | + | 0.421400i | ||||
\(431\) | −12.2082 | − | 37.5730i | −0.588048 | − | 1.80983i | −0.586667 | − | 0.809828i | \(-0.699560\pi\) |
−0.00138127 | − | 0.999999i | \(-0.500440\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.85410 | − | 3.52671i | 0.233273 | − | 0.169483i | −0.465008 | − | 0.885307i | \(-0.653949\pi\) |
0.698281 | + | 0.715824i | \(0.253949\pi\) | |||||||
\(434\) | −3.54090 | − | 3.93257i | −0.169969 | − | 0.188769i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.12467 | + | 20.2149i | −0.101637 | + | 0.967009i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.64590 | + | 2.85078i | −0.0785544 | + | 0.136060i | −0.902626 | − | 0.430425i | \(-0.858364\pi\) |
0.824072 | + | 0.566485i | \(0.191697\pi\) | |||||||
\(440\) | −1.80902 | − | 19.3314i | −0.0862415 | − | 0.921588i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.545085 | − | 1.67760i | −0.0259270 | − | 0.0797952i | ||||
\(443\) | −37.5692 | + | 16.7269i | −1.78497 | + | 0.794718i | −0.805648 | + | 0.592395i | \(0.798183\pi\) |
−0.979319 | + | 0.202324i | \(0.935151\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.35177 | − | 0.287327i | 0.0640799 | − | 0.0136206i | ||||
\(446\) | 0.428129 | − | 0.0910017i | 0.0202725 | − | 0.00430906i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.646976 | + | 0.288052i | −0.0305668 | + | 0.0136092i | ||||
\(449\) | −7.56231 | − | 23.2744i | −0.356887 | − | 1.09839i | −0.954907 | − | 0.296905i | \(-0.904046\pi\) |
0.598020 | − | 0.801481i | \(-0.295954\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 36.3713 | − | 15.6987i | 1.71266 | − | 0.739222i | ||||
\(452\) | 0.572949 | − | 0.992377i | 0.0269493 | − | 0.0466775i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.60785 | + | 15.2977i | −0.0754603 | + | 0.717957i | ||||
\(455\) | −12.6564 | − | 5.63497i | −0.593339 | − | 0.264172i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.48796 | + | 6.09500i | 0.256716 | + | 0.285112i | 0.857702 | − | 0.514148i | \(-0.171892\pi\) |
−0.600986 | + | 0.799260i | \(0.705225\pi\) | |||||||
\(458\) | 5.00000 | − | 3.63271i | 0.233635 | − | 0.169746i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.54508 | + | 13.9883i | 0.211916 | + | 0.652209i | ||||
\(461\) | 10.5451 | − | 18.2646i | 0.491134 | − | 0.850668i | −0.508814 | − | 0.860876i | \(-0.669916\pi\) |
0.999948 | + | 0.0102080i | \(0.00324936\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.89919 | + | 13.6818i | 0.367106 | + | 0.635847i | 0.989112 | − | 0.147166i | \(-0.0470152\pi\) |
−0.622005 | + | 0.783013i | \(0.713682\pi\) | |||||||
\(464\) | 5.54829 | − | 6.16201i | 0.257573 | − | 0.286064i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.57153 | + | 14.9521i | 0.0727996 | + | 0.692642i | ||||
\(467\) | −3.01722 | + | 9.28605i | −0.139620 | + | 0.429707i | −0.996280 | − | 0.0861747i | \(-0.972536\pi\) |
0.856660 | + | 0.515882i | \(0.172536\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 23.2082 | − | 16.8617i | 1.07166 | − | 0.778603i | ||||
\(470\) | 2.39169 | − | 1.06485i | 0.110321 | − | 0.0491179i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.5451 | − | 19.9967i | −0.531406 | − | 0.920422i | ||||
\(473\) | −20.6814 | − | 0.236032i | −0.950930 | − | 0.0108528i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.6169 | − | 2.25669i | −0.487137 | − | 0.103544i | ||||
\(476\) | 6.35410 | + | 4.61653i | 0.291240 | + | 0.211598i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.489357 | + | 1.50609i | −0.0223827 | + | 0.0688868i | ||||
\(479\) | −18.7960 | − | 20.8751i | −0.858811 | − | 0.953806i | 0.140531 | − | 0.990076i | \(-0.455119\pi\) |
−0.999342 | + | 0.0362702i | \(0.988452\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0435265 | + | 0.414127i | −0.00198464 | + | 0.0188826i | ||||
\(482\) | 9.56308 | − | 10.6209i | 0.435586 | − | 0.483768i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 14.6342 | − | 10.1303i | 0.665191 | − | 0.460467i | ||||
\(485\) | 36.7426 | 1.66840 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.6074 | − | 9.88635i | −0.616610 | − | 0.447993i | 0.235126 | − | 0.971965i | \(-0.424450\pi\) |
−0.851736 | + | 0.523972i | \(0.824450\pi\) | |||||||
\(488\) | −1.83576 | − | 17.4661i | −0.0831010 | − | 0.790653i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.16535 | + | 0.672816i | −0.142996 | + | 0.0303947i | ||||
\(491\) | 23.0348 | + | 10.2558i | 1.03955 | + | 0.462837i | 0.854259 | − | 0.519847i | \(-0.174011\pi\) |
0.185289 | + | 0.982684i | \(0.440678\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.07794 | − | 1.50446i | −0.318774 | − | 0.0677576i | ||||
\(494\) | −6.38197 | −0.287138 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.29180 | 0.237609 | ||||||||
\(497\) | 16.3223 | + | 3.46941i | 0.732154 | + | 0.155624i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.0440 | − | 7.14323i | −0.718227 | − | 0.319775i | 0.0148796 | − | 0.999889i | \(-0.495263\pi\) |
−0.733106 | + | 0.680114i | \(0.761930\pi\) | |||||||
\(500\) | 13.0350 | − | 2.77068i | 0.582944 | − | 0.123909i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.503792 | − | 4.79326i | −0.0224853 | − | 0.213934i | ||||
\(503\) | −22.7082 | − | 16.4985i | −1.01251 | − | 0.735631i | −0.0477750 | − | 0.998858i | \(-0.515213\pi\) |
−0.964734 | + | 0.263227i | \(0.915213\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.85410 | 0.349503 | ||||||||
\(506\) | 4.82234 | − | 5.23437i | 0.214379 | − | 0.232696i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.01478 | − | 4.45887i | 0.178127 | − | 0.197830i | ||||
\(509\) | −2.46876 | + | 23.4887i | −0.109426 | + | 1.04112i | 0.792691 | + | 0.609624i | \(0.208679\pi\) |
−0.902117 | + | 0.431492i | \(0.857987\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.49606 | − | 7.21460i | −0.287369 | − | 0.319155i | ||||
\(512\) | −5.78115 | + | 17.7926i | −0.255493 | + | 0.786327i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −5.83688 | − | 4.24074i | −0.257454 | − | 0.187051i | ||||
\(515\) | −15.3649 | − | 3.26592i | −0.677060 | − | 0.143914i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.30524 | + | 3.20364i | 0.189344 | + | 0.140896i | ||||
\(518\) | 0.218847 | + | 0.379054i | 0.00961559 | + | 0.0166547i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −9.43349 | + | 4.20006i | −0.413686 | + | 0.184185i | ||||
\(521\) | 12.0000 | − | 8.71851i | 0.525730 | − | 0.381965i | −0.293028 | − | 0.956104i | \(-0.594663\pi\) |
0.818758 | + | 0.574139i | \(0.194663\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.70163 | + | 11.3924i | −0.161861 | + | 0.498156i | −0.998791 | − | 0.0491529i | \(-0.984348\pi\) |
0.836930 | + | 0.547309i | \(0.184348\pi\) | |||||||
\(524\) | −1.20859 | − | 11.4990i | −0.0527975 | − | 0.502335i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.75164 | − | 7.49846i | 0.294386 | − | 0.326948i | ||||
\(527\) | −2.30902 | − | 3.99933i | −0.100582 | − | 0.174214i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.47214 | − | 9.47802i | 0.237919 | − | 0.412088i | ||||
\(530\) | −4.80902 | − | 14.8006i | −0.208890 | − | 0.642898i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 22.9894 | − | 16.7027i | 0.996715 | − | 0.724156i | ||||
\(533\) | −14.0978 | − | 15.6572i | −0.610645 | − | 0.678190i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.1314 | + | 4.51078i | 0.438018 | + | 0.195018i | ||||
\(536\) | 2.23502 | − | 21.2648i | 0.0965383 | − | 0.918501i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 4.79837 | − | 8.31103i | 0.206873 | − | 0.358314i | ||||
\(539\) | −4.38197 | − | 4.97980i | −0.188745 | − | 0.214495i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.04508 | + | 18.6049i | 0.259899 | + | 0.799885i | 0.992825 | + | 0.119577i | \(0.0381540\pi\) |
−0.732926 | + | 0.680308i | \(0.761846\pi\) | |||||||
\(542\) | 15.3970 | − | 6.85518i | 0.661357 | − | 0.294455i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.89153 | − | 1.88995i | 0.381221 | − | 0.0810310i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.7491 | − | 8.79285i | 0.844409 | − | 0.375955i | 0.0615117 | − | 0.998106i | \(-0.480408\pi\) |
0.782897 | + | 0.622151i | \(0.213741\pi\) | |||||||
\(548\) | −3.73607 | − | 11.4984i | −0.159597 | − | 0.491189i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.51064 | + | 2.85317i | 0.107054 | + | 0.121660i | ||||
\(551\) | −13.0902 | + | 22.6728i | −0.557660 | + | 0.965895i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.97032 | + | 28.2607i | −0.126311 | + | 1.20177i | ||||
\(554\) | −17.2555 | − | 7.68266i | −0.733118 | − | 0.326405i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.924716 | + | 1.02700i | 0.0392167 | + | 0.0435545i | ||||
\(557\) | −12.0623 | + | 8.76378i | −0.511096 | + | 0.371333i | −0.813239 | − | 0.581929i | \(-0.802298\pi\) |
0.302143 | + | 0.953263i | \(0.402298\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.39919 | + | 10.4616i | 0.143770 | + | 0.442479i | ||||
\(560\) | 7.28115 | − | 12.6113i | 0.307685 | − | 0.532926i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.236068 | − | 0.408882i | −0.00995793 | − | 0.0172476i | ||||
\(563\) | −5.94760 | + | 6.60548i | −0.250661 | + | 0.278388i | −0.855323 | − | 0.518095i | \(-0.826642\pi\) |
0.604662 | + | 0.796482i | \(0.293308\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.193806 | + | 1.84395i | 0.00815350 | + | 0.0775753i | ||||
\(566\) | −0.0344419 | + | 0.106001i | −0.00144770 | + | 0.00445556i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.0623 | − | 7.31069i | 0.422205 | − | 0.306750i | ||||
\(569\) | −21.9880 | + | 9.78970i | −0.921786 | + | 0.410405i | −0.812072 | − | 0.583558i | \(-0.801660\pi\) |
−0.109714 | + | 0.993963i | \(0.534994\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.3435 | − | 30.0398i | −0.725801 | − | 1.25712i | −0.958643 | − | 0.284610i | \(-0.908136\pi\) |
0.232842 | − | 0.972515i | \(-0.425197\pi\) | |||||||
\(572\) | −7.59415 | − | 5.65100i | −0.317527 | − | 0.236280i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −21.6620 | − | 4.60439i | −0.904153 | − | 0.192184i | ||||
\(575\) | −5.20820 | − | 3.78398i | −0.217197 | − | 0.157803i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.32624 | − | 10.2371i | 0.138473 | − | 0.426176i | −0.857641 | − | 0.514249i | \(-0.828071\pi\) |
0.996114 | + | 0.0880726i | \(0.0280707\pi\) | |||||||
\(578\) | 5.94760 | + | 6.60548i | 0.247387 | + | 0.274752i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.98022 | + | 18.8405i | −0.0822240 | + | 0.782309i | ||||
\(581\) | 1.42164 | − | 1.57889i | 0.0589797 | − | 0.0655036i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 21.6140 | − | 23.4607i | 0.895161 | − | 0.971645i | ||||
\(584\) | −7.23607 | −0.299431 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.0278640 | + | 0.0202444i | 0.00115105 | + | 0.000836289i | ||||
\(587\) | 4.00396 | + | 38.0951i | 0.165261 | + | 1.57235i | 0.691728 | + | 0.722158i | \(0.256850\pi\) |
−0.526467 | + | 0.850196i | \(0.676484\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.3431 | + | 3.47383i | −0.673405 | + | 0.143137i | ||||
\(590\) | 15.2637 | + | 6.79584i | 0.628397 | + | 0.279780i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.428129 | − | 0.0910017i | −0.0175960 | − | 0.00374015i | ||||
\(593\) | 22.2148 | 0.912252 | 0.456126 | − | 0.889915i | \(-0.349237\pi\) | ||||
0.456126 | + | 0.889915i | \(0.349237\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.7082 | −0.520986 | ||||||||
\(596\) | 23.7401 | + | 5.04612i | 0.972434 | + | 0.206697i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.45797 | − | 1.53959i | −0.141407 | − | 0.0629584i | ||||
\(599\) | 8.11060 | − | 1.72396i | 0.331390 | − | 0.0704392i | −0.0392119 | − | 0.999231i | \(-0.512485\pi\) |
0.370602 | + | 0.928792i | \(0.379151\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.53649 | − | 33.6475i | −0.144257 | − | 1.37251i | −0.791940 | − | 0.610599i | \(-0.790929\pi\) |
0.647683 | − | 0.761910i | \(-0.275738\pi\) | |||||||
\(602\) | 9.35410 | + | 6.79615i | 0.381245 | + | 0.276991i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.23607 | −0.131674 | ||||||||
\(605\) | −9.52195 | + | 27.1786i | −0.387122 | + | 1.10497i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 8.91699 | − | 9.90332i | 0.361930 | − | 0.401964i | −0.534486 | − | 0.845177i | \(-0.679495\pi\) |
0.896416 | + | 0.443213i | \(0.146162\pi\) | |||||||
\(608\) | 3.43779 | − | 32.7084i | 0.139421 | − | 1.32650i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.50345 | + | 9.44404i | 0.344295 | + | 0.382378i | ||||
\(611\) | 0.881966 | − | 2.71441i | 0.0356805 | − | 0.109813i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −28.0344 | − | 20.3682i | −1.13230 | − | 0.822664i | −0.146272 | − | 0.989244i | \(-0.546728\pi\) |
−0.986028 | + | 0.166580i | \(0.946728\pi\) | |||||||
\(614\) | 0.339930 | + | 0.0722543i | 0.0137185 | + | 0.00291595i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −22.2471 | − | 0.253902i | −0.896363 | − | 0.0102300i | ||||
\(617\) | −9.79180 | − | 16.9599i | −0.394203 | − | 0.682779i | 0.598796 | − | 0.800901i | \(-0.295646\pi\) |
−0.992999 | + | 0.118122i | \(0.962313\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.05716 | + | 3.58728i | −0.323845 | + | 0.144185i | −0.562219 | − | 0.826988i | \(-0.690052\pi\) |
0.238374 | + | 0.971173i | \(0.423386\pi\) | |||||||
\(620\) | −9.78115 | + | 7.10642i | −0.392821 | + | 0.285401i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.482779 | + | 1.48584i | −0.0193577 | + | 0.0595768i | ||||
\(623\) | −0.165530 | − | 1.57492i | −0.00663184 | − | 0.0630977i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −20.6312 | + | 22.9132i | −0.825247 | + | 0.916530i | ||||
\(626\) | 7.98278 | + | 13.8266i | 0.319056 | + | 0.552621i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.00000 | + | 5.19615i | −0.119713 | + | 0.207349i | ||||
\(629\) | 0.118034 | + | 0.363271i | 0.00470632 | + | 0.0144846i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −37.4336 | + | 27.1971i | −1.49021 | + | 1.08270i | −0.516125 | + | 0.856513i | \(0.672626\pi\) |
−0.974084 | + | 0.226187i | \(0.927374\pi\) | |||||||
\(632\) | 14.1724 | + | 15.7401i | 0.563748 | + | 0.626106i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 10.9311 | + | 4.86683i | 0.434129 | + | 0.193287i | ||||
\(635\) | −1.01478 | + | 9.65502i | −0.0402705 | + | 0.383148i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.76393 | + | 3.05522i | −0.0698895 | + | 0.121052i | ||||
\(638\) | 8.41641 | − | 3.63271i | 0.333209 | − | 0.143820i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −9.20820 | − | 28.3399i | −0.363986 | − | 1.12023i | ||||
\(641\) | 32.6525 | − | 14.5378i | 1.28970 | − | 0.574210i | 0.356742 | − | 0.934203i | \(-0.383887\pi\) |
0.932955 | + | 0.359993i | \(0.117221\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 37.7196 | − | 8.01755i | 1.48752 | − | 0.316181i | 0.608723 | − | 0.793383i | \(-0.291682\pi\) |
0.878794 | + | 0.477201i | \(0.158349\pi\) | |||||||
\(644\) | 16.4858 | − | 3.50416i | 0.649632 | − | 0.138083i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −5.34799 | + | 2.38108i | −0.210414 | + | 0.0936823i | ||||
\(647\) | 8.59017 | + | 26.4378i | 0.337714 | + | 1.03938i | 0.965369 | + | 0.260887i | \(0.0840149\pi\) |
−0.627655 | + | 0.778492i | \(0.715985\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.19098 | + | 34.0993i | 0.125257 | + | 1.33851i | ||||
\(650\) | 1.01064 | − | 1.75049i | 0.0396407 | − | 0.0686597i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.09010 | − | 29.4004i | 0.121018 | − | 1.15141i | ||||
\(653\) | 46.6223 | + | 20.7576i | 1.82447 | + | 0.812307i | 0.934010 | + | 0.357248i | \(0.116285\pi\) |
0.890461 | + | 0.455059i | \(0.150382\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.5182 | + | 13.9029i | 0.489128 | + | 0.543231i | ||||
\(656\) | 17.9164 | − | 13.0170i | 0.699518 | − | 0.508230i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.927051 | − | 2.85317i | −0.0361402 | − | 0.111228i | ||||
\(659\) | 5.32624 | − | 9.22531i | 0.207481 | − | 0.359367i | −0.743440 | − | 0.668803i | \(-0.766807\pi\) |
0.950920 | + | 0.309436i | \(0.100140\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.95492 | + | 8.58216i | 0.192724 | + | 0.333808i | 0.946152 | − | 0.323723i | \(-0.104935\pi\) |
−0.753428 | + | 0.657530i | \(0.771601\pi\) | |||||||
\(662\) | −10.9990 | + | 12.2156i | −0.427487 | + | 0.474772i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.165530 | − | 1.57492i | −0.00642383 | − | 0.0611186i | ||||
\(665\) | −14.2082 | + | 43.7284i | −0.550971 | + | 1.69571i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.5623 | + | 9.12705i | −0.486414 | + | 0.353401i | ||||
\(668\) | −14.8324 | + | 6.60380i | −0.573882 | + | 0.255509i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 7.73607 | + | 13.3993i | 0.298870 | + | 0.517659i | ||||
\(671\) | −8.33182 | + | 24.6807i | −0.321646 | + | 0.952788i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.1451 | − | 2.58152i | −0.468158 | − | 0.0995101i | −0.0322087 | − | 0.999481i | \(-0.510254\pi\) |
−0.435950 | + | 0.899971i | \(0.643587\pi\) | |||||||
\(674\) | −0.145898 | − | 0.106001i | −0.00561978 | − | 0.00408301i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.94427 | − | 15.2169i | 0.190164 | − | 0.585266i | ||||
\(677\) | 9.05191 | + | 10.0532i | 0.347893 | + | 0.386374i | 0.891542 | − | 0.452938i | \(-0.149624\pi\) |
−0.543649 | + | 0.839313i | \(0.682958\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.40100 | − | 41.8727i | 0.168895 | − | 1.60693i | ||||
\(680\) | −6.33810 | + | 7.03917i | −0.243055 | + | 0.269940i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.31701 | + | 2.44037i | 0.203599 | + | 0.0934465i | ||||
\(683\) | −3.11146 | −0.119057 | −0.0595283 | − | 0.998227i | \(-0.518960\pi\) | ||||
−0.0595283 | + | 0.998227i | \(0.518960\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 15.8262 | + | 11.4984i | 0.604689 | + | 0.439333i | ||||
\(686\) | −0.969032 | − | 9.21973i | −0.0369978 | − | 0.352011i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −11.3096 | + | 2.40394i | −0.431176 | + | 0.0916493i | ||||
\(689\) | −15.4988 | − | 6.90051i | −0.590458 | − | 0.262889i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.7173 | + | 5.46637i | 0.978331 | + | 0.207951i | 0.669211 | − | 0.743073i | \(-0.266632\pi\) |
0.309120 | + | 0.951023i | \(0.399966\pi\) | |||||||
\(692\) | −24.8885 | −0.946120 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12.9443 | 0.491358 | ||||||||
\(695\) | −2.18720 | − | 0.464905i | −0.0829654 | − | 0.0176348i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −17.6554 | − | 7.86069i | −0.668746 | − | 0.297745i | ||||
\(698\) | −6.12062 | + | 1.30098i | −0.231669 | + | 0.0492427i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.940756 | + | 8.95070i | 0.0355572 | + | 0.338305i | ||||
\(701\) | 8.64590 | + | 6.28161i | 0.326551 | + | 0.237253i | 0.738966 | − | 0.673743i | \(-0.235315\pi\) |
−0.412415 | + | 0.910996i | \(0.635315\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.38197 | 0.0521218 | ||||||||
\(704\) | 0.530501 | − | 0.575828i | 0.0199940 | − | 0.0217023i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.33070 | − | 4.80973i | 0.162988 | − | 0.181017i | ||||
\(707\) | 0.940756 | − | 8.95070i | 0.0353808 | − | 0.336626i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 32.6152 | + | 36.2228i | 1.22489 | + | 1.36038i | 0.911790 | + | 0.410657i | \(0.134701\pi\) |
0.313100 | + | 0.949720i | \(0.398633\pi\) | |||||||
\(710\) | −2.78115 | + | 8.55951i | −0.104375 | + | 0.321233i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.954915 | − | 0.693786i | −0.0357870 | − | 0.0260007i | ||||
\(713\) | −9.69328 | − | 2.06037i | −0.363016 | − | 0.0771614i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 15.3153 | + | 0.174790i | 0.572759 | + | 0.00653678i | ||||
\(716\) | −1.80902 | − | 3.13331i | −0.0676061 | − | 0.117097i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.20654 | − | 3.20856i | 0.268946 | − | 0.119742i | ||||
\(719\) | 1.28115 | − | 0.930812i | 0.0477789 | − | 0.0347134i | −0.563639 | − | 0.826021i | \(-0.690599\pi\) |
0.611418 | + | 0.791307i | \(0.290599\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.56231 | + | 17.1190i | −0.207151 | + | 0.637546i | ||||
\(722\) | 0.986508 | + | 9.38599i | 0.0367140 | + | 0.349311i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 18.9167 | − | 21.0091i | 0.703032 | − | 0.780796i | ||||
\(725\) | −4.14590 | − | 7.18091i | −0.153975 | − | 0.266692i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.4271 | + | 33.6486i | −0.720509 | + | 1.24796i | 0.240286 | + | 0.970702i | \(0.422759\pi\) |
−0.960796 | + | 0.277257i | \(0.910575\pi\) | |||||||
\(728\) | 3.65654 | + | 11.2537i | 0.135520 | + | 0.417089i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.23607 | − | 3.07768i | 0.156784 | − | 0.113910i | ||||
\(731\) | 6.75164 | + | 7.49846i | 0.249718 | + | 0.277340i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −34.4482 | − | 15.3373i | −1.27237 | − | 0.566496i | −0.344287 | − | 0.938865i | \(-0.611879\pi\) |
−0.928085 | + | 0.372368i | \(0.878546\pi\) | |||||||
\(734\) | 0.359337 | − | 3.41886i | 0.0132634 | − | 0.126193i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.75329 | − | 16.8932i | 0.359511 | − | 0.622691i | ||||
\(737\) | −16.1697 | + | 27.2829i | −0.595618 | + | 1.00498i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.72542 | − | 23.7764i | −0.284184 | − | 0.874629i | −0.986642 | − | 0.162904i | \(-0.947914\pi\) |
0.702458 | − | 0.711726i | \(-0.252086\pi\) | |||||||
\(740\) | 0.913545 | − | 0.406737i | 0.0335826 | − | 0.0149519i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −17.4431 | + | 3.70765i | −0.640357 | + | 0.136112i | ||||
\(743\) | −34.4116 | + | 7.31440i | −1.26244 | + | 0.268339i | −0.790045 | − | 0.613049i | \(-0.789943\pi\) |
−0.472393 | + | 0.881388i | \(0.656610\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.8754 | + | 15.9728i | −1.31437 | + | 0.585196i | ||||
\(746\) | 0.843459 | + | 2.59590i | 0.0308812 | + | 0.0950426i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.47214 | − | 1.90211i | −0.309772 | − | 0.0695481i | ||||
\(749\) | 6.35410 | − | 11.0056i | 0.232174 | − | 0.402137i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.24629 | + | 11.8577i | −0.0454778 | + | 0.432693i | 0.947966 | + | 0.318371i | \(0.103136\pi\) |
−0.993444 | + | 0.114321i | \(0.963531\pi\) | |||||||
\(752\) | 2.74064 | + | 1.22021i | 0.0999407 | + | 0.0444965i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.26227 | − | 3.62312i | −0.118805 | − | 0.131946i | ||||
\(755\) | 4.23607 | − | 3.07768i | 0.154166 | − | 0.112008i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.600813 | + | 1.84911i | 0.0218369 | + | 0.0672071i | 0.961381 | − | 0.275220i | \(-0.0887509\pi\) |
−0.939544 | + | 0.342428i | \(0.888751\pi\) | |||||||
\(758\) | 0.489357 | − | 0.847591i | 0.0177742 | − | 0.0307859i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 17.1353 | + | 29.6791i | 0.621561 | + | 1.07658i | ||||
\(761\) | −20.6685 | + | 22.9547i | −0.749231 | + | 0.832106i | −0.990379 | − | 0.138383i | \(-0.955810\pi\) |
0.241147 | + | 0.970489i | \(0.422476\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 3.73607 | − | 11.4984i | 0.135166 | − | 0.415999i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.4443 | − | 9.76784i | 0.485761 | − | 0.352926i | ||||
\(767\) | 16.6400 | − | 7.40862i | 0.600837 | − | 0.267510i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.34346 | − | 10.9872i | −0.228751 | − | 0.396208i | 0.728687 | − | 0.684847i | \(-0.240131\pi\) |
−0.957438 | + | 0.288638i | \(0.906797\pi\) | |||||||
\(770\) | 13.1317 | − | 9.31364i | 0.473234 | − | 0.335640i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −29.3781 | − | 6.24451i | −1.05734 | − | 0.224745i | ||||
\(773\) | 25.2812 | + | 18.3678i | 0.909300 | + | 0.660645i | 0.940838 | − | 0.338858i | \(-0.110040\pi\) |
−0.0315378 | + | 0.999503i | \(0.510040\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.63525 | − | 5.03280i | 0.0587401 | − | 0.180783i | ||||
\(776\) | −20.9986 | − | 23.3213i | −0.753807 | − | 0.837188i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.56793 | − | 14.9178i | 0.0562129 | − | 0.534830i | ||||
\(779\) | −46.7876 | + | 51.9629i | −1.67634 | + | 1.86176i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.0875 | + | 3.62939i | −0.647223 | + | 0.129870i | ||||
\(782\) | −3.47214 | −0.124163 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.00000 | − | 2.17963i | −0.107143 | − | 0.0778438i | ||||
\(785\) | −1.01478 | − | 9.65502i | −0.0362192 | − | 0.344602i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.0669 | − | 2.13978i | 0.358846 | − | 0.0762751i | −0.0249609 | − | 0.999688i | \(-0.507946\pi\) |
0.383807 | + | 0.923413i | \(0.374613\pi\) | |||||||
\(788\) | −36.0401 | − | 16.0461i | −1.28388 | − | 0.571619i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −14.9913 | − | 3.18650i | −0.533367 | − | 0.113371i | ||||
\(791\) | 2.12461 | 0.0755425 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.8541 | 0.491974 | ||||||||
\(794\) | −23.4002 | − | 4.97387i | −0.830442 | − | 0.176516i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 24.6972 | + | 10.9959i | 0.875369 | + | 0.389739i | ||||
\(797\) | −10.5287 | + | 2.23795i | −0.372946 | + | 0.0792722i | −0.390572 | − | 0.920572i | \(-0.627723\pi\) |
0.0176255 | + | 0.999845i | \(0.494389\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.273659 | − | 2.60369i | −0.00968136 | − | 0.0921120i | ||||
\(800\) | 8.42705 | + | 6.12261i | 0.297941 | + | 0.216467i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 16.1246 | 0.569380 | ||||||||
\(803\) | 9.75446 | + | 4.47704i | 0.344228 | + | 0.157991i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −18.2475 | + | 20.2659i | −0.643141 | + | 0.714280i | ||||
\(806\) | 0.325236 | − | 3.09441i | 0.0114559 | − | 0.108996i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.48866 | − | 4.98517i | −0.157911 | − | 0.175378i | ||||
\(809\) | 2.98936 | − | 9.20029i | 0.105100 | − | 0.323465i | −0.884654 | − | 0.466249i | \(-0.845605\pi\) |
0.989754 | + | 0.142783i | \(0.0456052\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.63525 | − | 1.91462i | −0.0925363 | − | 0.0672316i | 0.540555 | − | 0.841309i | \(-0.318214\pi\) |
−0.633091 | + | 0.774077i | \(0.718214\pi\) | |||||||
\(812\) | 21.2338 | + | 4.51339i | 0.745161 | + | 0.158389i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.388203 | − | 0.288872i | −0.0136065 | − | 0.0101250i | ||||
\(815\) | 23.9164 | + | 41.4244i | 0.837755 | + | 1.45103i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 33.3504 | − | 14.8486i | 1.16678 | − | 0.519485i | ||||
\(818\) | −5.52786 | + | 4.01623i | −0.193277 | + | 0.140424i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −15.6353 | + | 48.1204i | −0.546007 | + | 1.68044i | ||||
\(821\) | −4.22467 | − | 40.1950i | −0.147442 | − | 1.40282i | −0.778775 | − | 0.627303i | \(-0.784159\pi\) |
0.631333 | − | 0.775512i | \(-0.282508\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −23.7355 | + | 26.3609i | −0.827367 | + | 0.918884i | −0.997787 | − | 0.0664871i | \(-0.978821\pi\) |
0.170420 | + | 0.985372i | \(0.445488\pi\) | |||||||
\(824\) | 6.70820 | + | 11.6190i | 0.233691 | + | 0.404765i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 9.57295 | − | 16.5808i | 0.333085 | − | 0.576921i | ||||
\(827\) | 16.4164 | + | 50.5245i | 0.570854 | + | 1.75691i | 0.649880 | + | 0.760037i | \(0.274819\pi\) |
−0.0790257 | + | 0.996873i | \(0.525181\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.3090 | + | 10.3961i | −0.496973 | + | 0.361072i | −0.807859 | − | 0.589375i | \(-0.799374\pi\) |
0.310887 | + | 0.950447i | \(0.399374\pi\) | |||||||
\(830\) | 0.766755 | + | 0.851568i | 0.0266145 | + | 0.0295584i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.380408 | − | 0.169368i | −0.0131883 | − | 0.00587179i | ||||
\(833\) | −0.338261 | + | 3.21834i | −0.0117201 | + | 0.111509i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13.1353 | − | 22.7509i | 0.454564 | − | 0.787328i | ||||
\(836\) | −16.0172 | + | 27.0256i | −0.553967 | + | 0.934700i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.15248 | − | 9.70232i | −0.108900 | − | 0.335161i | ||||
\(839\) | −33.5346 | + | 14.9306i | −1.15774 | + | 0.515461i | −0.893530 | − | 0.449004i | \(-0.851779\pi\) |
−0.264213 | + | 0.964464i | \(0.585112\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 8.80333 | − | 1.87121i | 0.303563 | − | 0.0645243i | ||||
\(842\) | −22.5311 | + | 4.78913i | −0.776472 | + | 0.165044i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 32.9191 | − | 14.6565i | 1.13312 | − | 0.504498i | ||||
\(845\) | 8.00000 | + | 24.6215i | 0.275208 | + | 0.847004i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 29.8328 | + | 14.1068i | 1.02507 | + | 0.484717i | ||||
\(848\) | 8.91641 | − | 15.4437i | 0.306191 | − | 0.530338i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.193806 | − | 1.84395i | 0.00664751 | − | 0.0632468i | ||||
\(851\) | 0.748797 | + | 0.333386i | 0.0256684 | + | 0.0114283i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.65402 | − | 7.39003i | −0.227829 | − | 0.253030i | 0.618382 | − | 0.785878i | \(-0.287789\pi\) |
−0.846211 | + | 0.532848i | \(0.821122\pi\) | |||||||
\(854\) | 11.7812 | − | 8.55951i | 0.403143 | − | 0.292900i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.92705 | − | 9.00854i | −0.100045 | − | 0.307905i | ||||
\(857\) | −23.8607 | + | 41.3279i | −0.815065 | + | 1.41173i | 0.0942157 | + | 0.995552i | \(0.469966\pi\) |
−0.909281 | + | 0.416183i | \(0.863368\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.55573 | − | 6.15870i | −0.121320 | − | 0.210132i | 0.798969 | − | 0.601373i | \(-0.205379\pi\) |
−0.920288 | + | 0.391241i | \(0.872046\pi\) | |||||||
\(860\) | 17.6760 | − | 19.6312i | 0.602748 | − | 0.669419i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.55221 | − | 24.2827i | −0.0869286 | − | 0.827070i | ||||
\(863\) | 3.67376 | − | 11.3067i | 0.125056 | − | 0.384884i | −0.868855 | − | 0.495067i | \(-0.835144\pi\) |
0.993911 | + | 0.110183i | \(0.0351436\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 32.5795 | − | 23.6704i | 1.10774 | − | 0.804818i | ||||
\(866\) | 3.38761 | − | 1.50826i | 0.115116 | − | 0.0512528i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.92705 | + | 11.9980i | 0.235119 | + | 0.407239i | ||||
\(869\) | −9.36633 | − | 29.9868i | −0.317731 | − | 1.01723i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.4987 | + | 3.50690i | 0.559036 | + | 0.118827i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.88197 | + | 11.9475i | −0.131309 | + | 0.404129i | ||||
\(875\) | 16.5330 | + | 18.3618i | 0.558918 | + | 0.620741i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.670697 | + | 6.38126i | −0.0226478 | + | 0.215480i | 0.977345 | + | 0.211653i | \(0.0678847\pi\) |
−0.999993 | + | 0.00382661i | \(0.998782\pi\) | |||||||
\(878\) | −1.36131 | + | 1.51188i | −0.0459419 | + | 0.0510236i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.86544 | + | 15.9908i | −0.0628839 | + | 0.539050i | ||||
\(881\) | 13.9098 | 0.468634 | 0.234317 | − | 0.972160i | \(-0.424715\pi\) | ||||
0.234317 | + | 0.972160i | \(0.424715\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.56231 | − | 6.22088i | −0.288145 | − | 0.209349i | 0.434318 | − | 0.900760i | \(-0.356990\pi\) |
−0.722462 | + | 0.691411i | \(0.756990\pi\) | |||||||
\(884\) | 0.482716 | + | 4.59274i | 0.0162355 | + | 0.154470i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −24.8610 | + | 5.28437i | −0.835222 | + | 0.177532i | ||||
\(887\) | 2.74064 | + | 1.22021i | 0.0920216 | + | 0.0409706i | 0.452231 | − | 0.891901i | \(-0.350628\pi\) |
−0.360210 | + | 0.932871i | \(0.617295\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.8815 | + | 2.31294i | 0.364954 | + | 0.0775734i | ||||
\(890\) | 0.854102 | 0.0286296 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.14590 | −0.0383675 | ||||||||
\(893\) | −9.26515 | − | 1.96937i | −0.310046 | − | 0.0659024i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.34799 | + | 2.38108i | 0.178764 | + | 0.0795907i | ||||
\(896\) | −33.3997 | + | 7.09933i | −1.11581 | + | 0.237172i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.58095 | − | 15.0418i | −0.0527571 | − | 0.501950i | ||||
\(899\) | −10.3262 | − | 7.50245i | −0.344399 | − | 0.250221i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −15.5623 | −0.518456 | ||||||||
\(902\) | 24.0047 | − | 4.81672i | 0.799270 | − | 0.160379i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.05963 | − | 1.17684i | 0.0352428 | − | 0.0391411i | ||||
\(905\) | −4.78141 | + | 45.4921i | −0.158939 | + | 1.51221i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −28.7584 | − | 31.9394i | −0.954906 | − | 1.06053i | −0.998109 | − | 0.0614644i | \(-0.980423\pi\) |
0.0432032 | − | 0.999066i | \(-0.486244\pi\) | |||||||
\(908\) | 12.4443 | − | 38.2995i | 0.412978 | − | 1.27101i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.92705 | − | 5.03280i | −0.229630 | − | 0.166836i | ||||
\(911\) | −17.6612 | − | 3.75400i | −0.585141 | − | 0.124375i | −0.0941768 | − | 0.995555i | \(-0.530022\pi\) |
−0.490964 | + | 0.871180i | \(0.663355\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.751279 | + | 2.22546i | −0.0248637 | + | 0.0736519i | ||||
\(914\) | 2.53444 | + | 4.38978i | 0.0838319 | + | 0.145201i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.7815 | + | 6.58114i | −0.488394 | + | 0.217447i | ||||
\(917\) | 17.3435 | − | 12.6008i | 0.572731 | − | 0.416114i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 14.5106 | − | 44.6592i | 0.478662 | − | 1.47317i | −0.362293 | − | 0.932064i | \(-0.618006\pi\) |
0.840955 | − | 0.541106i | \(-0.181994\pi\) | |||||||
\(920\) | 2.12467 | + | 20.2149i | 0.0700483 | + | 0.666465i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 8.72174 | − | 9.68648i | 0.287235 | − | 0.319007i | ||||
\(923\) | 4.90576 | + | 8.49703i | 0.161475 | + | 0.279683i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.218847 | + | 0.379054i | −0.00719565 | + | 0.0124632i | ||||
\(926\) | 3.01722 | + | 9.28605i | 0.0991520 | + | 0.305159i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 20.3262 | − | 14.7679i | 0.667241 | − | 0.484779i | ||||
\(929\) | −22.0067 | − | 24.4410i | −0.722017 | − | 0.801882i | 0.264699 | − | 0.964331i | \(-0.414727\pi\) |
−0.986717 | + | 0.162449i | \(0.948061\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.6960 | + | 4.76216i | 0.350546 | + | 0.156073i | ||||
\(932\) | 4.11431 | − | 39.1451i | 0.134769 | − | 1.28224i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −3.01722 | + | 5.22598i | −0.0987265 | + | 0.170999i | ||||
\(935\) | 12.8992 | − | 5.56758i | 0.421849 | − | 0.182079i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −5.12868 | − | 15.7844i | −0.167547 | − | 0.515655i | 0.831668 | − | 0.555273i | \(-0.187386\pi\) |
−0.999215 | + | 0.0396173i | \(0.987386\pi\) | |||||||
\(938\) | 16.1967 | − | 7.21123i | 0.528841 | − | 0.235455i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −6.70432 | + | 1.42505i | −0.218671 | + | 0.0464799i | ||||
\(941\) | 43.6559 | − | 9.27935i | 1.42314 | − | 0.302498i | 0.568914 | − | 0.822397i | \(-0.307364\pi\) |
0.854228 | + | 0.519899i | \(0.174030\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −37.8867 | + | 16.8682i | −1.23376 | + | 0.549305i | ||||
\(944\) | 5.91641 | + | 18.2088i | 0.192563 | + | 0.592647i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.4721 | − | 2.80017i | −0.405504 | − | 0.0910413i | ||||
\(947\) | −9.16312 | + | 15.8710i | −0.297761 | + | 0.515738i | −0.975623 | − | 0.219451i | \(-0.929573\pi\) |
0.677862 | + | 0.735189i | \(0.262907\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.596670 | − | 5.67693i | 0.0193687 | − | 0.184281i | ||||
\(950\) | −6.12825 | − | 2.72847i | −0.198827 | − | 0.0885233i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.26281 | + | 8.06617i | 0.235389 | + | 0.261426i | ||||
\(953\) | −30.5967 | + | 22.2298i | −0.991126 | + | 0.720095i | −0.960167 | − | 0.279426i | \(-0.909856\pi\) |
−0.0309585 | + | 0.999521i | \(0.509856\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 6.04508 | + | 18.6049i | 0.195614 | + | 0.602039i | ||||
\(956\) | 2.07295 | − | 3.59045i | 0.0670440 | − | 0.116124i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.68034 | − | 15.0348i | −0.280449 | − | 0.485752i | ||||
\(959\) | 14.9995 | − | 16.6586i | 0.484359 | − | 0.537935i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.38890 | + | 22.7289i | 0.0770614 | + | 0.733190i | ||||
\(962\) | −0.0795268 | + | 0.244758i | −0.00256405 | + | 0.00789133i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −30.2705 | + | 21.9928i | −0.974947 | + | 0.708341i | ||||
\(965\) | 44.3953 | − | 19.7661i | 1.42914 | − | 0.636293i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.3435 | + | 30.0398i | 0.557728 | + | 0.966013i | 0.997686 | + | 0.0679948i | \(0.0216601\pi\) |
−0.439958 | + | 0.898019i | \(0.645007\pi\) | |||||||
\(968\) | 22.6927 | − | 9.48896i | 0.729372 | − | 0.304987i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 22.2120 | + | 4.72130i | 0.713184 | + | 0.151592i | ||||
\(971\) | −30.5623 | − | 22.2048i | −0.980791 | − | 0.712586i | −0.0229058 | − | 0.999738i | \(-0.507292\pi\) |
−0.957885 | + | 0.287151i | \(0.907292\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.791796 | + | 2.43690i | −0.0253838 | + | 0.0781234i | ||||
\(974\) | −6.95569 | − | 7.72508i | −0.222875 | − | 0.247528i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.52218 | + | 14.4825i | −0.0487236 | + | 0.463575i | ||||
\(977\) | −3.10431 | + | 3.44769i | −0.0993157 | + | 0.110301i | −0.790753 | − | 0.612135i | \(-0.790311\pi\) |
0.691438 | + | 0.722436i | \(0.256978\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.858004 | + | 1.52606i | 0.0274219 | + | 0.0487732i | ||||
\(980\) | 8.47214 | 0.270632 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.6074 | + | 9.15981i | 0.402318 | + | 0.292301i | ||||
\(983\) | 2.85414 | + | 27.1554i | 0.0910331 | + | 0.866122i | 0.940800 | + | 0.338963i | \(0.110076\pi\) |
−0.849767 | + | 0.527159i | \(0.823257\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 62.4379 | − | 13.2716i | 1.98944 | − | 0.422868i | ||||
\(986\) | −4.08550 | − | 1.81898i | −0.130109 | − | 0.0579282i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 16.3431 | + | 3.47383i | 0.519943 | + | 0.110517i | ||||
\(989\) | 21.6525 | 0.688509 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.2705 | 0.675680 | 0.337840 | − | 0.941204i | \(-0.390304\pi\) | ||||
0.337840 | + | 0.941204i | \(0.390304\pi\) | |||||||
\(992\) | 15.6841 | + | 3.33375i | 0.497969 | + | 0.105847i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.42147 | + | 4.19471i | 0.298831 | + | 0.133048i | ||||
\(995\) | −42.7868 | + | 9.09461i | −1.35643 | + | 0.288318i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.35665 | + | 12.9076i | 0.0429654 | + | 0.408788i | 0.994774 | + | 0.102097i | \(0.0325552\pi\) |
−0.951809 | + | 0.306691i | \(0.900778\pi\) | |||||||
\(998\) | −8.78115 | − | 6.37988i | −0.277963 | − | 0.201952i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))