Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(165,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.p (of order \(6\), degree \(2\), 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: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.432972864.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{6} + 4x^{5} - 6x^{4} + 8x^{3} + 4x^{2} - 8x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 373.1 | ||
Root | \(-1.41156 - 0.0865986i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 392.373 |
Dual form | 392.2.p.e.165.1 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41156 | + | 0.0865986i | −0.998123 | + | 0.0612344i | ||||
\(3\) | 2.61578 | − | 1.51022i | 1.51022 | − | 0.871928i | 0.510295 | − | 0.859999i | \(-0.329536\pi\) |
0.999929 | − | 0.0119288i | \(-0.00379716\pi\) | |||||||
\(4\) | 1.98500 | − | 0.244478i | 0.992501 | − | 0.122239i | ||||
\(5\) | 1.46890 | + | 0.848071i | 0.656913 | + | 0.379269i | 0.791100 | − | 0.611687i | \(-0.209509\pi\) |
−0.134187 | + | 0.990956i | \(0.542842\pi\) | |||||||
\(6\) | −3.56155 | + | 2.35829i | −1.45400 | + | 0.962770i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.78078 | + | 0.516994i | −0.983153 | + | 0.182785i | ||||
\(9\) | 3.06155 | − | 5.30277i | 1.02052 | − | 1.76759i | ||||
\(10\) | −2.14688 | − | 1.06990i | −0.678904 | − | 0.338331i | ||||
\(11\) | 1.14688 | − | 0.662153i | 0.345798 | − | 0.199647i | −0.317035 | − | 0.948414i | \(-0.602687\pi\) |
0.662833 | + | 0.748767i | \(0.269354\pi\) | |||||||
\(12\) | 4.82312 | − | 3.63730i | 1.39231 | − | 1.05000i | ||||
\(13\) | 1.69614i | 0.470425i | 0.971944 | + | 0.235212i | \(0.0755786\pi\) | ||||
−0.971944 | + | 0.235212i | \(0.924421\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.12311 | 1.32278 | ||||||||
\(16\) | 3.88046 | − | 0.970579i | 0.970115 | − | 0.242645i | ||||
\(17\) | 1.00000 | + | 1.73205i | 0.242536 | + | 0.420084i | 0.961436 | − | 0.275029i | \(-0.0886875\pi\) |
−0.718900 | + | 0.695113i | \(0.755354\pi\) | |||||||
\(18\) | −3.86235 | + | 7.75030i | −0.910365 | + | 1.82676i | ||||
\(19\) | −2.61578 | − | 1.51022i | −0.600102 | − | 0.346469i | 0.168980 | − | 0.985620i | \(-0.445953\pi\) |
−0.769082 | + | 0.639150i | \(0.779286\pi\) | |||||||
\(20\) | 3.12311 | + | 1.32431i | 0.698348 | + | 0.296124i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.56155 | + | 1.03399i | −0.332924 | + | 0.220447i | ||||
\(23\) | −2.56155 | + | 4.43674i | −0.534121 | + | 0.925124i | 0.465085 | + | 0.885266i | \(0.346024\pi\) |
−0.999205 | + | 0.0398580i | \(0.987309\pi\) | |||||||
\(24\) | −6.49314 | + | 5.55194i | −1.32541 | + | 1.13328i | ||||
\(25\) | −1.06155 | − | 1.83866i | −0.212311 | − | 0.367733i | ||||
\(26\) | −0.146883 | − | 2.39420i | −0.0288062 | − | 0.469542i | ||||
\(27\) | − | 9.43318i | − | 1.81542i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.04090i | 1.12177i | 0.827895 | + | 0.560883i | \(0.189538\pi\) | ||||
−0.827895 | + | 0.560883i | \(0.810462\pi\) | |||||||
\(30\) | −7.23157 | + | 0.443654i | −1.32030 | + | 0.0809997i | ||||
\(31\) | −5.12311 | − | 8.87348i | −0.920137 | − | 1.59372i | −0.799201 | − | 0.601064i | \(-0.794744\pi\) |
−0.120936 | − | 0.992660i | \(-0.538589\pi\) | |||||||
\(32\) | −5.39345 | + | 1.70607i | −0.953436 | + | 0.301594i | ||||
\(33\) | 2.00000 | − | 3.46410i | 0.348155 | − | 0.603023i | ||||
\(34\) | −1.56155 | − | 2.35829i | −0.267804 | − | 0.404444i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 4.78078 | − | 11.2745i | 0.796796 | − | 1.87908i | ||||
\(37\) | 5.23157 | + | 3.02045i | 0.860065 | + | 0.496559i | 0.864034 | − | 0.503434i | \(-0.167930\pi\) |
−0.00396926 | + | 0.999992i | \(0.501263\pi\) | |||||||
\(38\) | 3.82312 | + | 1.90525i | 0.620192 | + | 0.309072i | ||||
\(39\) | 2.56155 | + | 4.43674i | 0.410177 | + | 0.710447i | ||||
\(40\) | −4.52313 | − | 1.59888i | −0.715170 | − | 0.252805i | ||||
\(41\) | −4.24621 | −0.663147 | −0.331573 | − | 0.943429i | \(-0.607579\pi\) | ||||
−0.331573 | + | 0.943429i | \(0.607579\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.32431i | 0.201955i | 0.994889 | + | 0.100977i | \(0.0321970\pi\) | ||||
−0.994889 | + | 0.100977i | \(0.967803\pi\) | |||||||
\(44\) | 2.11468 | − | 1.59476i | 0.318800 | − | 0.240420i | ||||
\(45\) | 8.99424 | − | 5.19283i | 1.34078 | − | 0.774101i | ||||
\(46\) | 3.23157 | − | 6.48455i | 0.476469 | − | 0.956095i | ||||
\(47\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(48\) | 8.68466 | − | 8.39919i | 1.25352 | − | 1.21232i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.65767 | + | 2.50345i | 0.234430 | + | 0.354042i | ||||
\(51\) | 5.23157 | + | 3.02045i | 0.732566 | + | 0.422947i | ||||
\(52\) | 0.414669 | + | 3.36684i | 0.0575043 | + | 0.466897i | ||||
\(53\) | 2.29377 | − | 1.32431i | 0.315073 | − | 0.181908i | −0.334121 | − | 0.942530i | \(-0.608440\pi\) |
0.649194 | + | 0.760623i | \(0.275106\pi\) | |||||||
\(54\) | 0.816900 | + | 13.3155i | 0.111166 | + | 1.81201i | ||||
\(55\) | 2.24621 | 0.302879 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −9.12311 | −1.20838 | ||||||||
\(58\) | −0.523133 | − | 8.52708i | −0.0686907 | − | 1.11966i | ||||
\(59\) | −0.322018 | + | 0.185917i | −0.0419231 | + | 0.0242043i | −0.520815 | − | 0.853670i | \(-0.674372\pi\) |
0.478892 | + | 0.877874i | \(0.341039\pi\) | |||||||
\(60\) | 10.1694 | − | 1.25249i | 1.31286 | − | 0.161695i | ||||
\(61\) | −1.46890 | − | 0.848071i | −0.188074 | − | 0.108584i | 0.403007 | − | 0.915197i | \(-0.367965\pi\) |
−0.591080 | + | 0.806613i | \(0.701298\pi\) | |||||||
\(62\) | 8.00000 | + | 12.0818i | 1.01600 | + | 1.53439i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.46543 | − | 2.87529i | 0.933179 | − | 0.359411i | ||||
\(65\) | −1.43845 | + | 2.49146i | −0.178417 | + | 0.309028i | ||||
\(66\) | −2.52313 | + | 5.06298i | −0.310576 | + | 0.623210i | ||||
\(67\) | 9.96029 | − | 5.75058i | 1.21684 | − | 0.702545i | 0.252602 | − | 0.967570i | \(-0.418714\pi\) |
0.964241 | + | 0.265026i | \(0.0853804\pi\) | |||||||
\(68\) | 2.40845 | + | 3.19365i | 0.292067 | + | 0.387286i | ||||
\(69\) | 15.4741i | 1.86286i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.00000 | −0.949425 | −0.474713 | − | 0.880141i | \(-0.657448\pi\) | ||||
−0.474713 | + | 0.880141i | \(0.657448\pi\) | |||||||
\(72\) | −5.77200 | + | 16.3286i | −0.680236 | + | 1.92434i | ||||
\(73\) | −3.00000 | − | 5.19615i | −0.351123 | − | 0.608164i | 0.635323 | − | 0.772246i | \(-0.280867\pi\) |
−0.986447 | + | 0.164083i | \(0.947534\pi\) | |||||||
\(74\) | −7.64624 | − | 3.81050i | −0.888857 | − | 0.442961i | ||||
\(75\) | −5.55359 | − | 3.20636i | −0.641273 | − | 0.370239i | ||||
\(76\) | −5.56155 | − | 2.35829i | −0.637954 | − | 0.270515i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −4.00000 | − | 6.04090i | −0.452911 | − | 0.683997i | ||||
\(79\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(80\) | 6.52313 | + | 1.86522i | 0.729308 | + | 0.208538i | ||||
\(81\) | −5.06155 | − | 8.76687i | −0.562395 | − | 0.974096i | ||||
\(82\) | 5.99378 | − | 0.367716i | 0.661902 | − | 0.0406074i | ||||
\(83\) | − | 5.66906i | − | 0.622260i | −0.950367 | − | 0.311130i | \(-0.899292\pi\) | ||
0.950367 | − | 0.311130i | \(-0.100708\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.39228i | 0.367945i | ||||||||
\(86\) | −0.114683 | − | 1.86934i | −0.0123666 | − | 0.201576i | ||||
\(87\) | 9.12311 | + | 15.8017i | 0.978100 | + | 1.69412i | ||||
\(88\) | −2.84690 | + | 2.43423i | −0.303480 | + | 0.259490i | ||||
\(89\) | −8.12311 | + | 14.0696i | −0.861047 | + | 1.49138i | 0.00987147 | + | 0.999951i | \(0.496858\pi\) |
−0.870919 | + | 0.491427i | \(0.836476\pi\) | |||||||
\(90\) | −12.2462 | + | 8.10887i | −1.29086 | + | 0.854750i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −4.00000 | + | 9.43318i | −0.417029 | + | 0.983477i | ||||
\(93\) | −26.8019 | − | 15.4741i | −2.77923 | − | 1.60459i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.56155 | − | 4.43674i | −0.262810 | − | 0.455200i | ||||
\(96\) | −11.5316 | + | 12.6080i | −1.17693 | + | 1.28680i | ||||
\(97\) | −12.2462 | −1.24341 | −0.621707 | − | 0.783250i | \(-0.713561\pi\) | ||||
−0.621707 | + | 0.783250i | \(0.713561\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 8.10887i | − | 0.814972i | ||||||
\(100\) | −2.55670 | − | 3.39022i | −0.255670 | − | 0.339022i | ||||
\(101\) | −8.99424 | + | 5.19283i | −0.894960 | + | 0.516705i | −0.875562 | − | 0.483106i | \(-0.839508\pi\) |
−0.0193984 | + | 0.999812i | \(0.506175\pi\) | |||||||
\(102\) | −7.64624 | − | 3.81050i | −0.757090 | − | 0.377295i | ||||
\(103\) | 1.12311 | − | 1.94528i | 0.110663 | − | 0.191674i | −0.805375 | − | 0.592766i | \(-0.798036\pi\) |
0.916038 | + | 0.401092i | \(0.131369\pi\) | |||||||
\(104\) | −0.876894 | − | 4.71659i | −0.0859866 | − | 0.462500i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.12311 | + | 2.06798i | −0.303343 | + | 0.200860i | ||||
\(107\) | 12.2541 | + | 7.07488i | 1.18464 | + | 0.683955i | 0.957084 | − | 0.289809i | \(-0.0935919\pi\) |
0.227560 | + | 0.973764i | \(0.426925\pi\) | |||||||
\(108\) | −2.30621 | − | 18.7249i | −0.221915 | − | 1.80180i | ||||
\(109\) | −15.6947 | + | 9.06134i | −1.50328 | + | 0.867919i | −0.503288 | + | 0.864119i | \(0.667876\pi\) |
−0.999993 | + | 0.00380035i | \(0.998790\pi\) | |||||||
\(110\) | −3.17066 | + | 0.194519i | −0.302311 | + | 0.0185466i | ||||
\(111\) | 18.2462 | 1.73185 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.87689 | 0.458780 | 0.229390 | − | 0.973335i | \(-0.426327\pi\) | ||||
0.229390 | + | 0.973335i | \(0.426327\pi\) | |||||||
\(114\) | 12.8778 | − | 0.790048i | 1.20612 | − | 0.0739948i | ||||
\(115\) | −7.52534 | + | 4.34475i | −0.701741 | + | 0.405150i | ||||
\(116\) | 1.47687 | + | 11.9912i | 0.137124 | + | 1.11335i | ||||
\(117\) | 8.99424 | + | 5.19283i | 0.831518 | + | 0.480077i | ||||
\(118\) | 0.438447 | − | 0.290319i | 0.0403623 | − | 0.0267261i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −14.2462 | + | 2.64861i | −1.30050 | + | 0.241784i | ||||
\(121\) | −4.62311 | + | 8.00745i | −0.420282 | + | 0.727950i | ||||
\(122\) | 2.14688 | + | 1.06990i | 0.194370 | + | 0.0968640i | ||||
\(123\) | −11.1072 | + | 6.41273i | −1.00150 | + | 0.578216i | ||||
\(124\) | −12.3387 | − | 16.3614i | −1.10805 | − | 1.46930i | ||||
\(125\) | − | 12.0818i | − | 1.08063i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.1231 | 1.16449 | 0.582244 | − | 0.813014i | \(-0.302175\pi\) | ||||
0.582244 | + | 0.813014i | \(0.302175\pi\) | |||||||
\(128\) | −10.2889 | + | 4.70514i | −0.909420 | + | 0.415879i | ||||
\(129\) | 2.00000 | + | 3.46410i | 0.176090 | + | 0.304997i | ||||
\(130\) | 1.81470 | − | 3.64142i | 0.159159 | − | 0.319373i | ||||
\(131\) | 10.7852 | + | 6.22681i | 0.942303 | + | 0.544039i | 0.890682 | − | 0.454628i | \(-0.150228\pi\) |
0.0516218 | + | 0.998667i | \(0.483561\pi\) | |||||||
\(132\) | 3.12311 | − | 7.36520i | 0.271831 | − | 0.641059i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −13.5616 | + | 8.97983i | −1.17154 | + | 0.775739i | ||||
\(135\) | 8.00000 | − | 13.8564i | 0.688530 | − | 1.19257i | ||||
\(136\) | −3.67624 | − | 4.29945i | −0.315235 | − | 0.368675i | ||||
\(137\) | 8.12311 | + | 14.0696i | 0.694004 | + | 1.20205i | 0.970515 | + | 0.241039i | \(0.0774882\pi\) |
−0.276512 | + | 0.961011i | \(0.589178\pi\) | |||||||
\(138\) | −1.34003 | − | 21.8426i | −0.114071 | − | 1.85936i | ||||
\(139\) | 8.31768i | 0.705496i | 0.935718 | + | 0.352748i | \(0.114753\pi\) | ||||
−0.935718 | + | 0.352748i | \(0.885247\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 11.2925 | − | 0.692789i | 0.947644 | − | 0.0581375i | ||||
\(143\) | 1.12311 | + | 1.94528i | 0.0939188 | + | 0.162672i | ||||
\(144\) | 6.73348 | − | 23.5487i | 0.561124 | − | 1.96239i | ||||
\(145\) | −5.12311 | + | 8.87348i | −0.425451 | + | 0.736902i | ||||
\(146\) | 4.68466 | + | 7.07488i | 0.387705 | + | 0.585522i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 11.1231 | + | 4.71659i | 0.914314 | + | 0.387701i | ||||
\(149\) | 12.7569 | + | 7.36520i | 1.04509 | + | 0.603381i | 0.921270 | − | 0.388924i | \(-0.127153\pi\) |
0.123817 | + | 0.992305i | \(0.460487\pi\) | |||||||
\(150\) | 8.11689 | + | 4.04504i | 0.662741 | + | 0.330276i | ||||
\(151\) | −5.43845 | − | 9.41967i | −0.442575 | − | 0.766562i | 0.555305 | − | 0.831647i | \(-0.312601\pi\) |
−0.997880 | + | 0.0650850i | \(0.979268\pi\) | |||||||
\(152\) | 8.05469 | + | 2.84725i | 0.653322 | + | 0.230943i | ||||
\(153\) | 12.2462 | 0.990048 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 17.3790i | − | 1.39592i | ||||||
\(156\) | 6.16937 | + | 8.18069i | 0.493945 | + | 0.654979i | ||||
\(157\) | 7.34451 | − | 4.24035i | 0.586155 | − | 0.338417i | −0.177420 | − | 0.984135i | \(-0.556775\pi\) |
0.763576 | + | 0.645718i | \(0.223442\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.00000 | − | 6.92820i | 0.317221 | − | 0.549442i | ||||
\(160\) | −9.36932 | − | 2.06798i | −0.740710 | − | 0.163488i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 7.90388 | + | 11.9366i | 0.620988 | + | 0.937830i | ||||
\(163\) | −11.6100 | − | 6.70305i | −0.909367 | − | 0.525023i | −0.0291396 | − | 0.999575i | \(-0.509277\pi\) |
−0.880227 | + | 0.474552i | \(0.842610\pi\) | |||||||
\(164\) | −8.42874 | + | 1.03811i | −0.658174 | + | 0.0810624i | ||||
\(165\) | 5.87560 | − | 3.39228i | 0.457415 | − | 0.264089i | ||||
\(166\) | 0.490933 | + | 8.00222i | 0.0381038 | + | 0.621093i | ||||
\(167\) | −8.00000 | −0.619059 | −0.309529 | − | 0.950890i | \(-0.600171\pi\) | ||||
−0.309529 | + | 0.950890i | \(0.600171\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.1231 | 0.778700 | ||||||||
\(170\) | −0.293767 | − | 4.78841i | −0.0225309 | − | 0.367254i | ||||
\(171\) | −16.0167 | + | 9.24726i | −1.22483 | + | 0.707156i | ||||
\(172\) | 0.323764 | + | 2.62875i | 0.0246868 | + | 0.200440i | ||||
\(173\) | −16.5196 | − | 9.53758i | −1.25596 | − | 0.725129i | −0.283673 | − | 0.958921i | \(-0.591553\pi\) |
−0.972287 | + | 0.233792i | \(0.924886\pi\) | |||||||
\(174\) | −14.2462 | − | 21.5150i | −1.08000 | − | 1.63105i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.80776 | − | 3.68260i | 0.287021 | − | 0.277587i | ||||
\(177\) | −0.561553 | + | 0.972638i | −0.0422089 | + | 0.0731079i | ||||
\(178\) | 10.2478 | − | 20.5636i | 0.768108 | − | 1.54131i | ||||
\(179\) | 4.08469 | − | 2.35829i | 0.305304 | − | 0.176267i | −0.339519 | − | 0.940599i | \(-0.610264\pi\) |
0.644823 | + | 0.764332i | \(0.276931\pi\) | |||||||
\(180\) | 16.5840 | − | 12.5067i | 1.23610 | − | 0.932191i | ||||
\(181\) | 6.99337i | 0.519813i | 0.965634 | + | 0.259906i | \(0.0836917\pi\) | ||||
−0.965634 | + | 0.259906i | \(0.916308\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.12311 | −0.378711 | ||||||||
\(184\) | 4.82934 | − | 13.6619i | 0.356024 | − | 1.00717i | ||||
\(185\) | 5.12311 | + | 8.87348i | 0.376658 | + | 0.652391i | ||||
\(186\) | 39.1725 | + | 19.5216i | 2.87227 | + | 1.43139i | ||||
\(187\) | 2.29377 | + | 1.32431i | 0.167737 | + | 0.0968429i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.00000 | + | 6.04090i | 0.290191 | + | 0.438253i | ||||
\(191\) | −8.00000 | + | 13.8564i | −0.578860 | + | 1.00261i | 0.416751 | + | 0.909021i | \(0.363169\pi\) |
−0.995610 | + | 0.0935936i | \(0.970165\pi\) | |||||||
\(192\) | 15.1856 | − | 18.7956i | 1.09593 | − | 1.35646i | ||||
\(193\) | 5.56155 | + | 9.63289i | 0.400329 | + | 0.693391i | 0.993766 | − | 0.111490i | \(-0.0355624\pi\) |
−0.593436 | + | 0.804881i | \(0.702229\pi\) | |||||||
\(194\) | 17.2863 | − | 1.06050i | 1.24108 | − | 0.0761398i | ||||
\(195\) | 8.68951i | 0.622269i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 21.5150i | − | 1.53288i | −0.642317 | − | 0.766439i | \(-0.722027\pi\) | ||
0.642317 | − | 0.766439i | \(-0.277973\pi\) | |||||||
\(198\) | 0.702217 | + | 11.4462i | 0.0499044 | + | 0.813443i | ||||
\(199\) | −9.12311 | − | 15.8017i | −0.646720 | − | 1.12015i | −0.983901 | − | 0.178712i | \(-0.942807\pi\) |
0.337182 | − | 0.941440i | \(-0.390526\pi\) | |||||||
\(200\) | 3.90252 | + | 4.56410i | 0.275950 | + | 0.322730i | ||||
\(201\) | 17.3693 | − | 30.0845i | 1.22514 | − | 2.12200i | ||||
\(202\) | 12.2462 | − | 8.10887i | 0.861640 | − | 0.570538i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 11.1231 | + | 4.71659i | 0.778773 | + | 0.330227i | ||||
\(205\) | −6.23726 | − | 3.60109i | −0.435629 | − | 0.251511i | ||||
\(206\) | −1.41687 | + | 2.84313i | −0.0987182 | + | 0.198090i | ||||
\(207\) | 15.6847 | + | 27.1666i | 1.09016 | + | 1.88821i | ||||
\(208\) | 1.64624 | + | 6.58181i | 0.114146 | + | 0.456366i | ||||
\(209\) | −4.00000 | −0.276686 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.71659i | 0.324703i | 0.986733 | + | 0.162352i | \(0.0519079\pi\) | ||||
−0.986733 | + | 0.162352i | \(0.948092\pi\) | |||||||
\(212\) | 4.22937 | − | 3.18953i | 0.290474 | − | 0.219058i | ||||
\(213\) | −20.9263 | + | 12.0818i | −1.43384 | + | 0.827831i | ||||
\(214\) | −17.9100 | − | 8.92544i | −1.22430 | − | 0.610130i | ||||
\(215\) | −1.12311 | + | 1.94528i | −0.0765952 | + | 0.132667i | ||||
\(216\) | 4.87689 | + | 26.2316i | 0.331831 | + | 1.78483i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 21.3693 | − | 14.1498i | 1.44731 | − | 0.958343i | ||||
\(219\) | −15.6947 | − | 9.06134i | −1.06055 | − | 0.612309i | ||||
\(220\) | 4.45873 | − | 0.549150i | 0.300608 | − | 0.0370237i | ||||
\(221\) | −2.93780 | + | 1.69614i | −0.197618 | + | 0.114095i | ||||
\(222\) | −25.7556 | + | 1.58010i | −1.72860 | + | 0.106049i | ||||
\(223\) | 5.75379 | 0.385302 | 0.192651 | − | 0.981267i | \(-0.438291\pi\) | ||||
0.192651 | + | 0.981267i | \(0.438291\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −13.0000 | −0.866667 | ||||||||
\(226\) | −6.88403 | + | 0.422332i | −0.457919 | + | 0.0280931i | ||||
\(227\) | 8.49139 | − | 4.90251i | 0.563593 | − | 0.325391i | −0.190993 | − | 0.981591i | \(-0.561171\pi\) |
0.754586 | + | 0.656201i | \(0.227837\pi\) | |||||||
\(228\) | −18.1094 | + | 2.23040i | −1.19932 | + | 0.147712i | ||||
\(229\) | 22.3952 | + | 12.9299i | 1.47992 | + | 0.854429i | 0.999741 | − | 0.0227441i | \(-0.00724029\pi\) |
0.480174 | + | 0.877173i | \(0.340574\pi\) | |||||||
\(230\) | 10.2462 | − | 6.78456i | 0.675615 | − | 0.447361i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.12311 | − | 16.7984i | −0.205042 | − | 1.10287i | ||||
\(233\) | 8.12311 | − | 14.0696i | 0.532162 | − | 0.921732i | −0.467133 | − | 0.884187i | \(-0.654713\pi\) |
0.999295 | − | 0.0375449i | \(-0.0119537\pi\) | |||||||
\(234\) | −13.1456 | − | 6.55109i | −0.859354 | − | 0.428258i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.593753 | + | 0.447772i | −0.0386500 | + | 0.0291475i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −17.6155 | −1.13945 | −0.569727 | − | 0.821834i | \(-0.692951\pi\) | ||||
−0.569727 | + | 0.821834i | \(0.692951\pi\) | |||||||
\(240\) | 19.8800 | − | 4.97238i | 1.28325 | − | 0.320966i | ||||
\(241\) | −1.87689 | − | 3.25088i | −0.120901 | − | 0.209407i | 0.799222 | − | 0.601036i | \(-0.205245\pi\) |
−0.920123 | + | 0.391629i | \(0.871912\pi\) | |||||||
\(242\) | 5.83236 | − | 11.7034i | 0.374918 | − | 0.752320i | ||||
\(243\) | −1.97175 | − | 1.13839i | −0.126488 | − | 0.0730277i | ||||
\(244\) | −3.12311 | − | 1.32431i | −0.199936 | − | 0.0847801i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 15.1231 | − | 10.0138i | 0.964214 | − | 0.638458i | ||||
\(247\) | 2.56155 | − | 4.43674i | 0.162988 | − | 0.282303i | ||||
\(248\) | 18.8337 | + | 22.0265i | 1.19594 | + | 1.39869i | ||||
\(249\) | −8.56155 | − | 14.8290i | −0.542566 | − | 0.939753i | ||||
\(250\) | 1.04627 | + | 17.0542i | 0.0661717 | + | 1.07860i | ||||
\(251\) | − | 10.9663i | − | 0.692186i | −0.938200 | − | 0.346093i | \(-0.887508\pi\) | ||
0.938200 | − | 0.346093i | \(-0.112492\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.78456i | 0.426542i | ||||||||
\(254\) | −18.5240 | + | 1.13644i | −1.16230 | + | 0.0713067i | ||||
\(255\) | 5.12311 | + | 8.87348i | 0.320821 | + | 0.555679i | ||||
\(256\) | 14.1160 | − | 7.53259i | 0.882247 | − | 0.470787i | ||||
\(257\) | 11.2462 | − | 19.4790i | 0.701519 | − | 1.21507i | −0.266414 | − | 0.963859i | \(-0.585839\pi\) |
0.967933 | − | 0.251208i | \(-0.0808280\pi\) | |||||||
\(258\) | −3.12311 | − | 4.71659i | −0.194436 | − | 0.293642i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −2.24621 | + | 5.29723i | −0.139304 | + | 0.328520i | ||||
\(261\) | 32.0335 | + | 18.4945i | 1.98282 | + | 1.14478i | ||||
\(262\) | −15.7631 | − | 7.85554i | −0.973849 | − | 0.485317i | ||||
\(263\) | −6.24621 | − | 10.8188i | −0.385158 | − | 0.667113i | 0.606633 | − | 0.794982i | \(-0.292520\pi\) |
−0.991791 | + | 0.127869i | \(0.959186\pi\) | |||||||
\(264\) | −3.77063 | + | 10.6669i | −0.232066 | + | 0.656501i | ||||
\(265\) | 4.49242 | 0.275967 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 49.0708i | 3.00309i | ||||||||
\(268\) | 18.3653 | − | 13.8500i | 1.12184 | − | 0.846022i | ||||
\(269\) | −10.2823 | + | 5.93649i | −0.626923 | + | 0.361954i | −0.779560 | − | 0.626328i | \(-0.784557\pi\) |
0.152636 | + | 0.988282i | \(0.451224\pi\) | |||||||
\(270\) | −10.0925 | + | 20.2519i | −0.614212 | + | 1.23249i | ||||
\(271\) | 5.12311 | − | 8.87348i | 0.311207 | − | 0.539025i | −0.667417 | − | 0.744684i | \(-0.732600\pi\) |
0.978624 | + | 0.205658i | \(0.0659336\pi\) | |||||||
\(272\) | 5.56155 | + | 5.75058i | 0.337219 | + | 0.348680i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −12.6847 | − | 19.1567i | −0.766308 | − | 1.15730i | ||||
\(275\) | −2.43495 | − | 1.40582i | −0.146833 | − | 0.0847742i | ||||
\(276\) | 3.78307 | + | 30.7161i | 0.227714 | + | 1.84889i | ||||
\(277\) | 2.29377 | − | 1.32431i | 0.137819 | − | 0.0795699i | −0.429505 | − | 0.903064i | \(-0.641312\pi\) |
0.567324 | + | 0.823495i | \(0.307979\pi\) | |||||||
\(278\) | −0.720299 | − | 11.7409i | −0.0432007 | − | 0.704172i | ||||
\(279\) | −62.7386 | −3.75606 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.00000 | −0.357930 | −0.178965 | − | 0.983855i | \(-0.557275\pi\) | ||||
−0.178965 | + | 0.983855i | \(0.557275\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.9545 | − | 10.9434i | 1.12673 | − | 0.650518i | 0.183619 | − | 0.982997i | \(-0.441219\pi\) |
0.943110 | + | 0.332480i | \(0.107885\pi\) | |||||||
\(284\) | −15.8800 | + | 1.95583i | −0.942305 | + | 0.116057i | ||||
\(285\) | −13.4009 | − | 7.73704i | −0.793803 | − | 0.458303i | ||||
\(286\) | −1.75379 | − | 2.64861i | −0.103704 | − | 0.156616i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −7.46543 | + | 33.8234i | −0.439905 | + | 1.99307i | ||||
\(289\) | 6.50000 | − | 11.2583i | 0.382353 | − | 0.662255i | ||||
\(290\) | 6.46314 | − | 12.9691i | 0.379529 | − | 0.761572i | ||||
\(291\) | −32.0335 | + | 18.4945i | −1.87783 | + | 1.08417i | ||||
\(292\) | −7.22535 | − | 9.58094i | −0.422832 | − | 0.560682i | ||||
\(293\) | − | 10.3857i | − | 0.606736i | −0.952873 | − | 0.303368i | \(-0.901889\pi\) | ||
0.952873 | − | 0.303368i | \(-0.0981112\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.630683 | −0.0367198 | ||||||||
\(296\) | −16.1094 | − | 5.69450i | −0.936339 | − | 0.330986i | ||||
\(297\) | −6.24621 | − | 10.8188i | −0.362442 | − | 0.627768i | ||||
\(298\) | −18.6449 | − | 9.29169i | −1.08007 | − | 0.538253i | ||||
\(299\) | −7.52534 | − | 4.34475i | −0.435201 | − | 0.251264i | ||||
\(300\) | −11.8078 | − | 5.00691i | −0.681722 | − | 0.289074i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 8.49242 | + | 12.8255i | 0.488684 | + | 0.738022i | ||||
\(303\) | −15.6847 | + | 27.1666i | −0.901060 | + | 1.56068i | ||||
\(304\) | −11.6162 | − | 3.32154i | −0.666237 | − | 0.190503i | ||||
\(305\) | −1.43845 | − | 2.49146i | −0.0823652 | − | 0.142661i | ||||
\(306\) | −17.2863 | + | 1.06050i | −0.988190 | + | 0.0606250i | ||||
\(307\) | 25.2791i | 1.44275i | 0.692543 | + | 0.721377i | \(0.256490\pi\) | ||||
−0.692543 | + | 0.721377i | \(0.743510\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 6.78456i | − | 0.385960i | ||||||
\(310\) | 1.50500 | + | 24.5315i | 0.0854782 | + | 1.39330i | ||||
\(311\) | −6.24621 | − | 10.8188i | −0.354190 | − | 0.613475i | 0.632789 | − | 0.774324i | \(-0.281910\pi\) |
−0.986979 | + | 0.160849i | \(0.948577\pi\) | |||||||
\(312\) | −9.41687 | − | 11.0133i | −0.533125 | − | 0.623504i | ||||
\(313\) | −10.3693 | + | 17.9602i | −0.586108 | + | 1.01517i | 0.408628 | + | 0.912701i | \(0.366007\pi\) |
−0.994736 | + | 0.102468i | \(0.967326\pi\) | |||||||
\(314\) | −10.0000 | + | 6.62153i | −0.564333 | + | 0.373675i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −3.58184 | − | 2.06798i | −0.201176 | − | 0.116149i | 0.396028 | − | 0.918238i | \(-0.370388\pi\) |
−0.597204 | + | 0.802089i | \(0.703722\pi\) | |||||||
\(318\) | −5.04627 | + | 10.1260i | −0.282981 | + | 0.567836i | ||||
\(319\) | 4.00000 | + | 6.92820i | 0.223957 | + | 0.387905i | ||||
\(320\) | 13.4044 | + | 2.10770i | 0.749331 | + | 0.117824i | ||||
\(321\) | 42.7386 | 2.38544 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 6.04090i | − | 0.336124i | ||||||
\(324\) | −12.1905 | − | 16.1648i | −0.677250 | − | 0.898045i | ||||
\(325\) | 3.11863 | − | 1.80054i | 0.172991 | − | 0.0998762i | ||||
\(326\) | 16.9687 | + | 8.45634i | 0.939810 | + | 0.468353i | ||||
\(327\) | −27.3693 | + | 47.4050i | −1.51353 | + | 2.62151i | ||||
\(328\) | 11.8078 | − | 2.19526i | 0.651975 | − | 0.121213i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −8.00000 | + | 5.29723i | −0.440386 | + | 0.291603i | ||||
\(331\) | −12.8981 | − | 7.44672i | −0.708943 | − | 0.409309i | 0.101726 | − | 0.994812i | \(-0.467563\pi\) |
−0.810670 | + | 0.585504i | \(0.800897\pi\) | |||||||
\(332\) | −1.38596 | − | 11.2531i | −0.0760645 | − | 0.617594i | ||||
\(333\) | 32.0335 | − | 18.4945i | 1.75542 | − | 1.01349i | ||||
\(334\) | 11.2925 | − | 0.692789i | 0.617897 | − | 0.0379077i | ||||
\(335\) | 19.5076 | 1.06581 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.876894 | −0.0477675 | −0.0238837 | − | 0.999715i | \(-0.507603\pi\) | ||||
−0.0238837 | + | 0.999715i | \(0.507603\pi\) | |||||||
\(338\) | −14.2894 | + | 0.876647i | −0.777239 | + | 0.0476833i | ||||
\(339\) | 12.7569 | − | 7.36520i | 0.692860 | − | 0.400023i | ||||
\(340\) | 0.829339 | + | 6.73368i | 0.0449772 | + | 0.365185i | ||||
\(341\) | −11.7512 | − | 6.78456i | −0.636364 | − | 0.367405i | ||||
\(342\) | 21.8078 | − | 14.4401i | 1.17923 | − | 0.780830i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.684658 | − | 3.68260i | −0.0369143 | − | 0.198553i | ||||
\(345\) | −13.1231 | + | 22.7299i | −0.706524 | + | 1.22374i | ||||
\(346\) | 24.1443 | + | 12.0323i | 1.29801 | + | 0.646860i | ||||
\(347\) | 7.02249 | − | 4.05444i | 0.376987 | − | 0.217654i | −0.299520 | − | 0.954090i | \(-0.596826\pi\) |
0.676507 | + | 0.736437i | \(0.263493\pi\) | |||||||
\(348\) | 21.9725 | + | 29.1360i | 1.17785 | + | 1.56185i | ||||
\(349\) | − | 27.3471i | − | 1.46385i | −0.681383 | − | 0.731927i | \(-0.738621\pi\) | ||
0.681383 | − | 0.731927i | \(-0.261379\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 16.0000 | 0.854017 | ||||||||
\(352\) | −5.05598 | + | 5.52796i | −0.269485 | + | 0.294641i | ||||
\(353\) | 3.87689 | + | 6.71498i | 0.206346 | + | 0.357402i | 0.950561 | − | 0.310538i | \(-0.100509\pi\) |
−0.744215 | + | 0.667941i | \(0.767176\pi\) | |||||||
\(354\) | 0.708436 | − | 1.42157i | 0.0376530 | − | 0.0755554i | ||||
\(355\) | −11.7512 | − | 6.78456i | −0.623689 | − | 0.360087i | ||||
\(356\) | −12.6847 | + | 29.9142i | −0.672286 | + | 1.58545i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.56155 | + | 3.68260i | −0.293937 | + | 0.194632i | ||||
\(359\) | 15.6847 | − | 27.1666i | 0.827805 | − | 1.43380i | −0.0719522 | − | 0.997408i | \(-0.522923\pi\) |
0.899757 | − | 0.436392i | \(-0.143744\pi\) | |||||||
\(360\) | −22.3263 | + | 19.0901i | −1.17670 | + | 1.00613i | ||||
\(361\) | −4.93845 | − | 8.55364i | −0.259918 | − | 0.450192i | ||||
\(362\) | −0.605616 | − | 9.87156i | −0.0318305 | − | 0.518838i | ||||
\(363\) | 27.9277i | 1.46582i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 10.1768i | − | 0.532680i | ||||||
\(366\) | 7.23157 | − | 0.443654i | 0.378000 | − | 0.0231902i | ||||
\(367\) | 5.12311 | + | 8.87348i | 0.267424 | + | 0.463192i | 0.968196 | − | 0.250194i | \(-0.0804943\pi\) |
−0.700772 | + | 0.713385i | \(0.747161\pi\) | |||||||
\(368\) | −5.63380 | + | 19.7028i | −0.293682 | + | 1.02708i | ||||
\(369\) | −13.0000 | + | 22.5167i | −0.676753 | + | 1.17217i | ||||
\(370\) | −8.00000 | − | 12.0818i | −0.415900 | − | 0.628102i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −56.9848 | − | 24.1636i | −2.95453 | − | 1.25282i | ||||
\(373\) | 12.7569 | + | 7.36520i | 0.660528 | + | 0.381356i | 0.792478 | − | 0.609901i | \(-0.208791\pi\) |
−0.131950 | + | 0.991256i | \(0.542124\pi\) | |||||||
\(374\) | −3.35247 | − | 1.67070i | −0.173352 | − | 0.0863899i | ||||
\(375\) | −18.2462 | − | 31.6034i | −0.942230 | − | 1.63199i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −10.2462 | −0.527707 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 36.4084i | − | 1.87017i | −0.354418 | − | 0.935087i | \(-0.615321\pi\) | ||
0.354418 | − | 0.935087i | \(-0.384679\pi\) | |||||||
\(380\) | −6.16937 | − | 8.18069i | −0.316482 | − | 0.419661i | ||||
\(381\) | 34.3272 | − | 19.8188i | 1.75864 | − | 1.01535i | ||||
\(382\) | 10.0925 | − | 20.2519i | 0.516379 | − | 1.03618i | ||||
\(383\) | −2.24621 | + | 3.89055i | −0.114776 | + | 0.198798i | −0.917690 | − | 0.397297i | \(-0.869948\pi\) |
0.802914 | + | 0.596095i | \(0.203282\pi\) | |||||||
\(384\) | −19.8078 | + | 27.8462i | −1.01081 | + | 1.42102i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −8.68466 | − | 13.1158i | −0.442037 | − | 0.667576i | ||||
\(387\) | 7.02249 | + | 4.05444i | 0.356973 | + | 0.206099i | ||||
\(388\) | −24.3087 | + | 2.99393i | −1.23409 | + | 0.151994i | ||||
\(389\) | 21.5703 | − | 12.4536i | 1.09366 | − | 0.631424i | 0.159110 | − | 0.987261i | \(-0.449137\pi\) |
0.934548 | + | 0.355837i | \(0.115804\pi\) | |||||||
\(390\) | −0.752499 | − | 12.2658i | −0.0381043 | − | 0.621101i | ||||
\(391\) | −10.2462 | −0.518173 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 37.6155 | 1.89745 | ||||||||
\(394\) | 1.86317 | + | 30.3697i | 0.0938649 | + | 1.53000i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.98244 | − | 16.0961i | −0.0996214 | − | 0.808860i | ||||
\(397\) | 17.8076 | + | 10.2812i | 0.893740 | + | 0.516001i | 0.875164 | − | 0.483826i | \(-0.160753\pi\) |
0.0185761 | + | 0.999827i | \(0.494087\pi\) | |||||||
\(398\) | 14.2462 | + | 21.5150i | 0.714098 | + | 1.07845i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.90388 | − | 6.10454i | −0.295194 | − | 0.305227i | ||||
\(401\) | 0.438447 | − | 0.759413i | 0.0218950 | − | 0.0379233i | −0.854870 | − | 0.518842i | \(-0.826363\pi\) |
0.876765 | + | 0.480919i | \(0.159697\pi\) | |||||||
\(402\) | −21.9125 | + | 43.9703i | −1.09290 | + | 2.19304i | ||||
\(403\) | 15.0507 | − | 8.68951i | 0.749727 | − | 0.432855i | ||||
\(404\) | −16.5840 | + | 12.5067i | −0.825087 | + | 0.622230i | ||||
\(405\) | − | 17.1702i | − | 0.853195i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.00000 | 0.396545 | ||||||||
\(408\) | −16.1094 | − | 5.69450i | −0.797533 | − | 0.281920i | ||||
\(409\) | 13.0000 | + | 22.5167i | 0.642809 | + | 1.11338i | 0.984803 | + | 0.173675i | \(0.0555643\pi\) |
−0.341994 | + | 0.939702i | \(0.611102\pi\) | |||||||
\(410\) | 9.11612 | + | 4.54301i | 0.450213 | + | 0.224363i | ||||
\(411\) | 42.4966 | + | 24.5354i | 2.09620 | + | 1.21024i | ||||
\(412\) | 1.75379 | − | 4.13595i | 0.0864030 | − | 0.203764i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −24.4924 | − | 36.9890i | −1.20374 | − | 1.81791i | ||||
\(415\) | 4.80776 | − | 8.32729i | 0.236004 | − | 0.408771i | ||||
\(416\) | −2.89374 | − | 9.14805i | −0.141877 | − | 0.448520i | ||||
\(417\) | 12.5616 | + | 21.7572i | 0.615142 | + | 1.06546i | ||||
\(418\) | 5.64624 | − | 0.346394i | 0.276167 | − | 0.0169427i | ||||
\(419\) | − | 27.9277i | − | 1.36436i | −0.731185 | − | 0.682179i | \(-0.761033\pi\) | ||
0.731185 | − | 0.682179i | \(-0.238967\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.8122i | 1.30675i | 0.757036 | + | 0.653373i | \(0.226647\pi\) | ||||
−0.757036 | + | 0.653373i | \(0.773353\pi\) | |||||||
\(422\) | −0.408450 | − | 6.65775i | −0.0198830 | − | 0.324094i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.69379 | + | 4.86846i | −0.276515 | + | 0.236434i | ||||
\(425\) | 2.12311 | − | 3.67733i | 0.102986 | − | 0.178377i | ||||
\(426\) | 28.4924 | − | 18.8664i | 1.38046 | − | 0.914078i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 26.0540 | + | 11.0478i | 1.25937 | + | 0.534016i | ||||
\(429\) | 5.87560 | + | 3.39228i | 0.283677 | + | 0.163781i | ||||
\(430\) | 1.41687 | − | 2.84313i | 0.0683277 | − | 0.137108i | ||||
\(431\) | −8.80776 | − | 15.2555i | −0.424255 | − | 0.734831i | 0.572095 | − | 0.820187i | \(-0.306131\pi\) |
−0.996351 | + | 0.0853557i | \(0.972797\pi\) | |||||||
\(432\) | −9.15564 | − | 36.6051i | −0.440501 | − | 1.76116i | ||||
\(433\) | 18.4924 | 0.888689 | 0.444345 | − | 0.895856i | \(-0.353437\pi\) | ||||
0.444345 | + | 0.895856i | \(0.353437\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 30.9481i | 1.48385i | ||||||||
\(436\) | −28.9387 | + | 21.8238i | −1.38591 | + | 1.04517i | ||||
\(437\) | 13.4009 | − | 7.73704i | 0.641054 | − | 0.370113i | ||||
\(438\) | 22.9387 | + | 11.4315i | 1.09605 | + | 0.546218i | ||||
\(439\) | 11.3693 | − | 19.6922i | 0.542628 | − | 0.939859i | −0.456124 | − | 0.889916i | \(-0.650763\pi\) |
0.998752 | − | 0.0499429i | \(-0.0159039\pi\) | |||||||
\(440\) | −6.24621 | + | 1.16128i | −0.297776 | + | 0.0553617i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.00000 | − | 2.64861i | 0.190261 | − | 0.125982i | ||||
\(443\) | 6.37845 | + | 3.68260i | 0.303049 | + | 0.174966i | 0.643812 | − | 0.765184i | \(-0.277352\pi\) |
−0.340763 | + | 0.940149i | \(0.610685\pi\) | |||||||
\(444\) | 36.2188 | − | 4.46080i | 1.71887 | − | 0.211700i | ||||
\(445\) | −23.8641 | + | 13.7779i | −1.13127 | + | 0.653137i | ||||
\(446\) | −8.12182 | + | 0.498270i | −0.384579 | + | 0.0235938i | ||||
\(447\) | 44.4924 | 2.10442 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.7386 | 0.789945 | 0.394972 | − | 0.918693i | \(-0.370754\pi\) | ||||
0.394972 | + | 0.918693i | \(0.370754\pi\) | |||||||
\(450\) | 18.3503 | − | 1.12578i | 0.865040 | − | 0.0530699i | ||||
\(451\) | −4.86991 | + | 2.81164i | −0.229315 | + | 0.132395i | ||||
\(452\) | 9.68064 | − | 1.19229i | 0.455339 | − | 0.0560808i | ||||
\(453\) | −28.4516 | − | 16.4265i | −1.33677 | − | 0.771786i | ||||
\(454\) | −11.5616 | + | 7.65552i | −0.542611 | + | 0.359291i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 25.3693 | − | 4.71659i | 1.18803 | − | 0.220875i | ||||
\(457\) | −8.68466 | + | 15.0423i | −0.406251 | + | 0.703648i | −0.994466 | − | 0.105057i | \(-0.966498\pi\) |
0.588215 | + | 0.808705i | \(0.299831\pi\) | |||||||
\(458\) | −32.7318 | − | 16.3119i | −1.52946 | − | 0.762204i | ||||
\(459\) | 16.3387 | − | 9.43318i | 0.762627 | − | 0.440303i | ||||
\(460\) | −13.8756 | + | 10.4641i | −0.646953 | + | 0.487892i | ||||
\(461\) | − | 24.3724i | − | 1.13514i | −0.823327 | − | 0.567568i | \(-0.807885\pi\) | ||
0.823327 | − | 0.567568i | \(-0.192115\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(464\) | 5.86317 | + | 23.4415i | 0.272191 | + | 1.08824i | ||||
\(465\) | −26.2462 | − | 45.4598i | −1.21714 | − | 2.10815i | ||||
\(466\) | −10.2478 | + | 20.5636i | −0.474722 | + | 0.952589i | ||||
\(467\) | −2.61578 | − | 1.51022i | −0.121044 | − | 0.0698848i | 0.438255 | − | 0.898850i | \(-0.355597\pi\) |
−0.559300 | + | 0.828966i | \(0.688930\pi\) | |||||||
\(468\) | 19.1231 | + | 8.10887i | 0.883966 | + | 0.374833i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 12.8078 | − | 22.1837i | 0.590151 | − | 1.02217i | ||||
\(472\) | 0.799342 | − | 0.683475i | 0.0367927 | − | 0.0314595i | ||||
\(473\) | 0.876894 | + | 1.51883i | 0.0403196 | + | 0.0698357i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.41273i | 0.294236i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 16.2177i | − | 0.742559i | ||||||
\(478\) | 24.8654 | − | 1.52548i | 1.13732 | − | 0.0697738i | ||||
\(479\) | 5.12311 | + | 8.87348i | 0.234081 | + | 0.405440i | 0.959005 | − | 0.283389i | \(-0.0914587\pi\) |
−0.724924 | + | 0.688828i | \(0.758125\pi\) | |||||||
\(480\) | −27.6312 | + | 8.74039i | −1.26119 | + | 0.398942i | ||||
\(481\) | −5.12311 | + | 8.87348i | −0.233594 | + | 0.404596i | ||||
\(482\) | 2.93087 | + | 4.42627i | 0.133497 | + | 0.201611i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.21922 | + | 17.0251i | −0.328147 | + | 0.773866i | ||||
\(485\) | −17.9885 | − | 10.3857i | −0.816815 | − | 0.471588i | ||||
\(486\) | 2.88182 | + | 1.43615i | 0.130722 | + | 0.0651453i | ||||
\(487\) | −0.315342 | − | 0.546188i | −0.0142895 | − | 0.0247501i | 0.858792 | − | 0.512324i | \(-0.171215\pi\) |
−0.873082 | + | 0.487574i | \(0.837882\pi\) | |||||||
\(488\) | 4.52313 | + | 1.59888i | 0.204753 | + | 0.0723780i | ||||
\(489\) | −40.4924 | −1.83113 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 34.1774i | 1.54240i | 0.636590 | + | 0.771202i | \(0.280344\pi\) | ||||
−0.636590 | + | 0.771202i | \(0.719656\pi\) | |||||||
\(492\) | −20.4800 | + | 15.4447i | −0.923309 | + | 0.696303i | ||||
\(493\) | −10.4631 | + | 6.04090i | −0.471236 | + | 0.272068i | ||||
\(494\) | −3.23157 | + | 6.48455i | −0.145395 | + | 0.291754i | ||||
\(495\) | 6.87689 | − | 11.9111i | 0.309093 | − | 0.535366i | ||||
\(496\) | −28.4924 | − | 29.4608i | −1.27935 | − | 1.32283i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 13.3693 | + | 20.1907i | 0.599093 | + | 0.904765i | ||||
\(499\) | 7.66652 | + | 4.42627i | 0.343201 | + | 0.198147i | 0.661687 | − | 0.749781i | \(-0.269841\pi\) |
−0.318486 | + | 0.947928i | \(0.603174\pi\) | |||||||
\(500\) | −2.95373 | − | 23.9824i | −0.132095 | − | 1.07252i | ||||
\(501\) | −20.9263 | + | 12.0818i | −0.934917 | + | 0.539775i | ||||
\(502\) | 0.949665 | + | 15.4796i | 0.0423856 | + | 0.690887i | ||||
\(503\) | −13.7538 | −0.613251 | −0.306626 | − | 0.951830i | \(-0.599200\pi\) | ||||
−0.306626 | + | 0.951830i | \(0.599200\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.6155 | −0.783881 | ||||||||
\(506\) | −0.587534 | − | 9.57682i | −0.0261191 | − | 0.425741i | ||||
\(507\) | 26.4799 | − | 15.2882i | 1.17601 | − | 0.678971i | ||||
\(508\) | 26.0494 | − | 3.20831i | 1.15575 | − | 0.142346i | ||||
\(509\) | −26.6211 | − | 15.3697i | −1.17996 | − | 0.681249i | −0.223953 | − | 0.974600i | \(-0.571896\pi\) |
−0.956005 | + | 0.293351i | \(0.905229\pi\) | |||||||
\(510\) | −8.00000 | − | 12.0818i | −0.354246 | − | 0.534991i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −19.2732 | + | 11.8551i | −0.851763 | + | 0.523927i | ||||
\(513\) | −14.2462 | + | 24.6752i | −0.628986 | + | 1.08944i | ||||
\(514\) | −14.1878 | + | 28.4697i | −0.625799 | + | 1.25574i | ||||
\(515\) | 3.29946 | − | 1.90495i | 0.145392 | − | 0.0839419i | ||||
\(516\) | 4.81690 | + | 6.38729i | 0.212052 | + | 0.281185i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −57.6155 | −2.52904 | ||||||||
\(520\) | 2.71193 | − | 7.67187i | 0.118926 | − | 0.336434i | ||||
\(521\) | −11.0000 | − | 19.0526i | −0.481919 | − | 0.834708i | 0.517866 | − | 0.855462i | \(-0.326727\pi\) |
−0.999785 | + | 0.0207541i | \(0.993393\pi\) | |||||||
\(522\) | −46.8187 | − | 23.3321i | −2.04920 | − | 1.02122i | ||||
\(523\) | −35.6549 | − | 20.5854i | −1.55908 | − | 0.900136i | −0.997345 | − | 0.0728196i | \(-0.976800\pi\) |
−0.561736 | − | 0.827316i | \(-0.689866\pi\) | |||||||
\(524\) | 22.9309 | + | 9.72350i | 1.00174 | + | 0.424773i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.75379 | + | 14.7304i | 0.425285 | + | 0.642276i | ||||
\(527\) | 10.2462 | − | 17.7470i | 0.446332 | − | 0.773070i | ||||
\(528\) | 4.39874 | − | 15.3835i | 0.191430 | − | 0.669480i | ||||
\(529\) | −1.62311 | − | 2.81130i | −0.0705698 | − | 0.122230i | ||||
\(530\) | −6.34132 | + | 0.389037i | −0.275449 | + | 0.0168987i | ||||
\(531\) | 2.27678i | 0.0988038i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 7.20217i | − | 0.311961i | ||||||
\(534\) | −4.24946 | − | 69.2664i | −0.183892 | − | 2.99745i | ||||
\(535\) | 12.0000 | + | 20.7846i | 0.518805 | + | 0.898597i | ||||
\(536\) | −24.7243 | + | 21.1405i | −1.06793 | + | 0.913129i | ||||
\(537\) | 7.12311 | − | 12.3376i | 0.307385 | − | 0.532406i | ||||
\(538\) | 14.0000 | − | 9.27015i | 0.603583 | − | 0.399664i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 12.4924 | − | 29.4608i | 0.537588 | − | 1.26779i | ||||
\(541\) | 11.4688 | + | 6.62153i | 0.493084 | + | 0.284682i | 0.725853 | − | 0.687850i | \(-0.241445\pi\) |
−0.232769 | + | 0.972532i | \(0.574779\pi\) | |||||||
\(542\) | −6.46314 | + | 12.9691i | −0.277616 | + | 0.557071i | ||||
\(543\) | 10.5616 | + | 18.2931i | 0.453240 | + | 0.785034i | ||||
\(544\) | −8.34846 | − | 7.63566i | −0.357937 | − | 0.327376i | ||||
\(545\) | −30.7386 | −1.31670 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.59621i | 0.410304i | 0.978730 | + | 0.205152i | \(0.0657689\pi\) | ||||
−0.978730 | + | 0.205152i | \(0.934231\pi\) | |||||||
\(548\) | 19.5641 | + | 25.9423i | 0.835737 | + | 1.10820i | ||||
\(549\) | −8.99424 | + | 5.19283i | −0.383865 | + | 0.221624i | ||||
\(550\) | 3.55883 | + | 1.77354i | 0.151749 | + | 0.0756239i | ||||
\(551\) | 9.12311 | − | 15.8017i | 0.388657 | − | 0.673174i | ||||
\(552\) | −8.00000 | − | 43.0299i | −0.340503 | − | 1.83148i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −3.12311 | + | 2.06798i | −0.132688 | + | 0.0878598i | ||||
\(555\) | 26.8019 | + | 15.4741i | 1.13768 | + | 0.656838i | ||||
\(556\) | 2.03349 | + | 16.5106i | 0.0862392 | + | 0.700205i | ||||
\(557\) | −2.29377 | + | 1.32431i | −0.0971900 | + | 0.0561127i | −0.547807 | − | 0.836605i | \(-0.684537\pi\) |
0.450617 | + | 0.892717i | \(0.351204\pi\) | |||||||
\(558\) | 88.5593 | − | 5.43308i | 3.74902 | − | 0.230000i | ||||
\(559\) | −2.24621 | −0.0950046 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.00000 | 0.337760 | ||||||||
\(562\) | 8.46936 | − | 0.519592i | 0.357258 | − | 0.0219176i | ||||
\(563\) | −25.8358 | + | 14.9163i | −1.08885 | + | 0.628648i | −0.933270 | − | 0.359175i | \(-0.883058\pi\) |
−0.155580 | + | 0.987823i | \(0.549725\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.16368 | + | 4.13595i | 0.301378 | + | 0.174001i | ||||
\(566\) | −25.8078 | + | 17.0887i | −1.08478 | + | 0.718292i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 22.2462 | − | 4.13595i | 0.933430 | − | 0.173541i | ||||
\(569\) | 6.68466 | − | 11.5782i | 0.280235 | − | 0.485382i | −0.691207 | − | 0.722657i | \(-0.742921\pi\) |
0.971443 | + | 0.237275i | \(0.0762541\pi\) | |||||||
\(570\) | 19.5862 | + | 9.76079i | 0.820377 | + | 0.408834i | ||||
\(571\) | −8.02818 | + | 4.63507i | −0.335969 | + | 0.193972i | −0.658488 | − | 0.752591i | \(-0.728804\pi\) |
0.322519 | + | 0.946563i | \(0.395470\pi\) | |||||||
\(572\) | 2.70494 | + | 3.58680i | 0.113099 | + | 0.149972i | ||||
\(573\) | 48.3272i | 2.01890i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.8769 | 0.453598 | ||||||||
\(576\) | 7.60885 | − | 48.3903i | 0.317035 | − | 2.01626i | ||||
\(577\) | 3.87689 | + | 6.71498i | 0.161397 | + | 0.279548i | 0.935370 | − | 0.353671i | \(-0.115067\pi\) |
−0.773973 | + | 0.633219i | \(0.781733\pi\) | |||||||
\(578\) | −8.20018 | + | 16.4547i | −0.341083 | + | 0.684425i | ||||
\(579\) | 29.0956 | + | 16.7984i | 1.20917 | + | 0.698117i | ||||
\(580\) | −8.00000 | + | 18.8664i | −0.332182 | + | 0.783383i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 43.6155 | − | 28.8802i | 1.80792 | − | 1.19712i | ||||
\(583\) | 1.75379 | − | 3.03765i | 0.0726345 | − | 0.125807i | ||||
\(584\) | 11.0287 | + | 12.8984i | 0.456371 | + | 0.533738i | ||||
\(585\) | 8.80776 | + | 15.2555i | 0.364156 | + | 0.630737i | ||||
\(586\) | 0.899383 | + | 14.6600i | 0.0371532 | + | 0.605598i | ||||
\(587\) | 21.8868i | 0.903365i | 0.892179 | + | 0.451683i | \(0.149176\pi\) | ||||
−0.892179 | + | 0.451683i | \(0.850824\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 30.9481i | 1.27520i | ||||||||
\(590\) | 0.890247 | − | 0.0546163i | 0.0366509 | − | 0.00224852i | ||||
\(591\) | −32.4924 | − | 56.2785i | −1.33656 | − | 2.31499i | ||||
\(592\) | 23.2325 | + | 6.64308i | 0.954849 | + | 0.273029i | ||||
\(593\) | 9.00000 | − | 15.5885i | 0.369586 | − | 0.640141i | −0.619915 | − | 0.784669i | \(-0.712833\pi\) |
0.989501 | + | 0.144528i | \(0.0461663\pi\) | |||||||
\(594\) | 9.75379 | + | 14.7304i | 0.400203 | + | 0.604396i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 27.1231 | + | 11.5012i | 1.11101 | + | 0.471106i | ||||
\(597\) | −47.7282 | − | 27.5559i | −1.95338 | − | 1.12779i | ||||
\(598\) | 10.9987 | + | 5.48120i | 0.449771 | + | 0.224143i | ||||
\(599\) | 6.24621 | + | 10.8188i | 0.255213 | + | 0.442042i | 0.964953 | − | 0.262421i | \(-0.0845210\pi\) |
−0.709740 | + | 0.704464i | \(0.751188\pi\) | |||||||
\(600\) | 17.1010 | + | 6.04501i | 0.698144 | + | 0.246787i | ||||
\(601\) | 16.2462 | 0.662697 | 0.331348 | − | 0.943508i | \(-0.392496\pi\) | ||||
0.331348 | + | 0.943508i | \(0.392496\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 70.4228i | − | 2.86784i | ||||||
\(604\) | −13.0982 | − | 17.3685i | −0.532959 | − | 0.706713i | ||||
\(605\) | −13.5818 | + | 7.84144i | −0.552178 | + | 0.318800i | ||||
\(606\) | 19.7872 | − | 39.7056i | 0.803802 | − | 1.61293i | ||||
\(607\) | 20.4924 | − | 35.4939i | 0.831762 | − | 1.44065i | −0.0648782 | − | 0.997893i | \(-0.520666\pi\) |
0.896640 | − | 0.442760i | \(-0.146001\pi\) | |||||||
\(608\) | 16.6847 | + | 3.68260i | 0.676652 | + | 0.149349i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.24621 | + | 3.39228i | 0.0909464 | + | 0.137349i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 24.3087 | − | 2.99393i | 0.982623 | − | 0.121022i | ||||
\(613\) | −1.93211 | + | 1.11550i | −0.0780371 | + | 0.0450547i | −0.538511 | − | 0.842619i | \(-0.681013\pi\) |
0.460474 | + | 0.887673i | \(0.347680\pi\) | |||||||
\(614\) | −2.18913 | − | 35.6829i | −0.0883462 | − | 1.44005i | ||||
\(615\) | −21.7538 | −0.877197 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −29.3693 | −1.18236 | −0.591182 | − | 0.806538i | \(-0.701339\pi\) | ||||
−0.591182 | + | 0.806538i | \(0.701339\pi\) | |||||||
\(618\) | 0.587534 | + | 9.57682i | 0.0236341 | + | 0.385236i | ||||
\(619\) | −17.0224 | + | 9.82790i | −0.684189 | + | 0.395017i | −0.801431 | − | 0.598087i | \(-0.795928\pi\) |
0.117243 | + | 0.993103i | \(0.462595\pi\) | |||||||
\(620\) | −4.24879 | − | 34.4974i | −0.170636 | − | 1.38545i | ||||
\(621\) | 41.8526 | + | 24.1636i | 1.67949 | + | 0.969651i | ||||
\(622\) | 9.75379 | + | 14.7304i | 0.391091 | + | 0.590635i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 14.2462 | + | 14.7304i | 0.570305 | + | 0.589688i | ||||
\(625\) | 4.93845 | − | 8.55364i | 0.197538 | − | 0.342146i | ||||
\(626\) | 13.0816 | − | 26.2498i | 0.522845 | − | 1.04915i | ||||
\(627\) | −10.4631 | + | 6.04090i | −0.417858 | + | 0.241250i | ||||
\(628\) | 13.5422 | − | 10.2127i | 0.540392 | − | 0.407530i | ||||
\(629\) | 12.0818i | 0.481733i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.50758 | −0.139634 | −0.0698172 | − | 0.997560i | \(-0.522242\pi\) | ||||
−0.0698172 | + | 0.997560i | \(0.522242\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.12311 | + | 12.3376i | 0.283118 | + | 0.490375i | ||||
\(634\) | 5.23506 | + | 2.60889i | 0.207911 | + | 0.103612i | ||||
\(635\) | 19.2765 | + | 11.1293i | 0.764966 | + | 0.441654i | ||||
\(636\) | 6.24621 | − | 14.7304i | 0.247678 | − | 0.584099i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −6.24621 | − | 9.43318i | −0.247290 | − | 0.373463i | ||||
\(639\) | −24.4924 | + | 42.4221i | −0.968905 | + | 1.67819i | ||||
\(640\) | −19.1037 | − | 1.81434i | −0.755139 | − | 0.0717181i | ||||
\(641\) | 2.68466 | + | 4.64996i | 0.106038 | + | 0.183663i | 0.914162 | − | 0.405350i | \(-0.132850\pi\) |
−0.808124 | + | 0.589012i | \(0.799517\pi\) | |||||||
\(642\) | −60.3281 | + | 3.70111i | −2.38096 | + | 0.146071i | ||||
\(643\) | − | 5.66906i | − | 0.223566i | −0.993733 | − | 0.111783i | \(-0.964344\pi\) | ||
0.993733 | − | 0.111783i | \(-0.0356562\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.78456i | 0.267142i | ||||||||
\(646\) | 0.523133 | + | 8.52708i | 0.0205824 | + | 0.335494i | ||||
\(647\) | 21.6155 | + | 37.4392i | 0.849794 | + | 1.47189i | 0.881392 | + | 0.472386i | \(0.156607\pi\) |
−0.0315977 | + | 0.999501i | \(0.510060\pi\) | |||||||
\(648\) | 18.6075 | + | 21.7619i | 0.730970 | + | 0.854888i | ||||
\(649\) | −0.246211 | + | 0.426450i | −0.00966464 | + | 0.0167396i | ||||
\(650\) | −4.24621 | + | 2.81164i | −0.166550 | + | 0.110282i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −24.6847 | − | 10.4672i | −0.966726 | − | 0.409926i | ||||
\(653\) | 27.4459 | + | 15.8459i | 1.07404 | + | 0.620098i | 0.929283 | − | 0.369369i | \(-0.120426\pi\) |
0.144759 | + | 0.989467i | \(0.453759\pi\) | |||||||
\(654\) | 34.5282 | − | 69.2852i | 1.35016 | − | 2.70927i | ||||
\(655\) | 10.5616 | + | 18.2931i | 0.412674 | + | 0.714772i | ||||
\(656\) | −16.4773 | + | 4.12128i | −0.643329 | + | 0.160909i | ||||
\(657\) | −36.7386 | −1.43331 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.62153i | 0.257938i | 0.991649 | + | 0.128969i | \(0.0411668\pi\) | ||||
−0.991649 | + | 0.128969i | \(0.958833\pi\) | |||||||
\(660\) | 10.8337 | − | 8.17014i | 0.421703 | − | 0.318022i | ||||
\(661\) | 38.7339 | − | 22.3630i | 1.50657 | − | 0.869821i | 0.506604 | − | 0.862179i | \(-0.330901\pi\) |
0.999971 | − | 0.00764267i | \(-0.00243276\pi\) | |||||||
\(662\) | 18.8513 | + | 9.39453i | 0.732677 | + | 0.365129i | ||||
\(663\) | −5.12311 | + | 8.87348i | −0.198965 | + | 0.344617i | ||||
\(664\) | 2.93087 | + | 15.7644i | 0.113740 | + | 0.611777i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −43.6155 | + | 28.8802i | −1.69007 | + | 1.11908i | ||||
\(667\) | −26.8019 | − | 15.4741i | −1.03777 | − | 0.599159i | ||||
\(668\) | −15.8800 | + | 1.95583i | −0.614416 | + | 0.0756731i | ||||
\(669\) | 15.0507 | − | 8.68951i | 0.581893 | − | 0.335956i | ||||
\(670\) | −27.5361 | + | 1.68933i | −1.06381 | + | 0.0652645i | ||||
\(671\) | −2.24621 | −0.0867140 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −38.9848 | −1.50276 | −0.751378 | − | 0.659872i | \(-0.770610\pi\) | ||||
−0.751378 | + | 0.659872i | \(0.770610\pi\) | |||||||
\(674\) | 1.23779 | − | 0.0759378i | 0.0476778 | − | 0.00292502i | ||||
\(675\) | −17.3444 | + | 10.0138i | −0.667588 | + | 0.385432i | ||||
\(676\) | 20.0944 | − | 2.47488i | 0.772861 | − | 0.0951876i | ||||
\(677\) | 14.8698 | + | 8.58511i | 0.571494 | + | 0.329952i | 0.757746 | − | 0.652550i | \(-0.226301\pi\) |
−0.186252 | + | 0.982502i | \(0.559634\pi\) | |||||||
\(678\) | −17.3693 | + | 11.5012i | −0.667065 | + | 0.441699i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −1.75379 | − | 9.43318i | −0.0672547 | − | 0.361746i | ||||
\(681\) | 14.8078 | − | 25.6478i | 0.567435 | − | 0.982826i | ||||
\(682\) | 17.1751 | + | 8.55918i | 0.657667 | + | 0.327748i | ||||
\(683\) | −0.502848 | + | 0.290319i | −0.0192409 | + | 0.0111088i | −0.509590 | − | 0.860418i | \(-0.670203\pi\) |
0.490349 | + | 0.871526i | \(0.336869\pi\) | |||||||
\(684\) | −29.5325 | + | 22.2716i | −1.12920 | + | 0.851575i | ||||
\(685\) | 27.5559i | 1.05286i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 78.1080 | 2.98000 | ||||||||
\(688\) | 1.28534 | + | 5.13892i | 0.0490033 | + | 0.195920i | ||||
\(689\) | 2.24621 | + | 3.89055i | 0.0855738 | + | 0.148218i | ||||
\(690\) | 16.5557 | − | 33.2210i | 0.630264 | − | 1.26470i | ||||
\(691\) | −33.6435 | − | 19.4241i | −1.27986 | − | 0.738928i | −0.303038 | − | 0.952978i | \(-0.598001\pi\) |
−0.976823 | + | 0.214051i | \(0.931334\pi\) | |||||||
\(692\) | −35.1231 | − | 14.8934i | −1.33518 | − | 0.566163i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −9.56155 | + | 6.33122i | −0.362952 | + | 0.240330i | ||||
\(695\) | −7.05398 | + | 12.2178i | −0.267573 | + | 0.463449i | ||||
\(696\) | −33.5387 | − | 39.2244i | −1.27128 | − | 1.48680i | ||||
\(697\) | −4.24621 | − | 7.35465i | −0.160837 | − | 0.278577i | ||||
\(698\) | 2.36822 | + | 38.6020i | 0.0896383 | + | 1.46111i | ||||
\(699\) | − | 49.0708i | − | 1.85603i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.23100i | 0.0842639i | 0.999112 | + | 0.0421319i | \(0.0134150\pi\) | ||||
−0.999112 | + | 0.0421319i | \(0.986585\pi\) | |||||||
\(702\) | −22.5850 | + | 1.38558i | −0.852414 | + | 0.0522952i | ||||
\(703\) | −9.12311 | − | 15.8017i | −0.344084 | − | 0.595972i | ||||
\(704\) | 6.65810 | − | 8.24088i | 0.250937 | − | 0.310590i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.05398 | − | 9.14286i | −0.227844 | − | 0.344096i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −0.876894 | + | 2.06798i | −0.0329557 | + | 0.0777193i | ||||
\(709\) | −24.8698 | − | 14.3586i | −0.934004 | − | 0.539247i | −0.0459283 | − | 0.998945i | \(-0.514625\pi\) |
−0.888076 | + | 0.459697i | \(0.847958\pi\) | |||||||
\(710\) | 17.1751 | + | 8.55918i | 0.644569 | + | 0.321220i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 15.3146 | − | 43.3241i | 0.573940 | − | 1.62364i | ||||
\(713\) | 52.4924 | 1.96586 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.80989i | 0.142482i | ||||||||
\(716\) | 7.53156 | − | 5.67983i | 0.281467 | − | 0.212265i | ||||
\(717\) | −46.0784 | + | 26.6034i | −1.72083 | + | 0.993522i | ||||
\(718\) | −19.7872 | + | 39.7056i | −0.738453 | + | 1.48180i | ||||
\(719\) | −26.2462 | + | 45.4598i | −0.978819 | + | 1.69536i | −0.312108 | + | 0.950047i | \(0.601035\pi\) |
−0.666711 | + | 0.745317i | \(0.732298\pi\) | |||||||
\(720\) | 29.8617 | − | 28.8802i | 1.11288 | − | 1.07630i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 7.71165 | + | 11.6463i | 0.286998 | + | 0.433431i | ||||
\(723\) | −9.81910 | − | 5.66906i | −0.365176 | − | 0.210835i | ||||
\(724\) | 1.70973 | + | 13.8818i | 0.0635415 | + | 0.515915i | ||||
\(725\) | 11.1072 | − | 6.41273i | 0.412510 | − | 0.238163i | ||||
\(726\) | −2.41850 | − | 39.4216i | −0.0897589 | − | 1.46307i | ||||
\(727\) | 16.9848 | 0.629933 | 0.314967 | − | 0.949103i | \(-0.398007\pi\) | ||||
0.314967 | + | 0.949103i | \(0.398007\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.4924 | 0.870090 | ||||||||
\(730\) | 0.881300 | + | 14.3652i | 0.0326184 | + | 0.531681i | ||||
\(731\) | −2.29377 | + | 1.32431i | −0.0848380 | + | 0.0489813i | ||||
\(732\) | −10.1694 | + | 1.25249i | −0.375871 | + | 0.0462933i | ||||
\(733\) | 25.3330 | + | 14.6260i | 0.935695 | + | 0.540224i | 0.888608 | − | 0.458667i | \(-0.151673\pi\) |
0.0470868 | + | 0.998891i | \(0.485006\pi\) | |||||||
\(734\) | −8.00000 | − | 12.0818i | −0.295285 | − | 0.445947i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.24621 | − | 28.2995i | 0.230238 | − | 1.04313i | ||||
\(737\) | 7.61553 | − | 13.1905i | 0.280522 | − | 0.485878i | ||||
\(738\) | 16.4004 | − | 32.9094i | 0.603706 | − | 1.21141i | ||||
\(739\) | −18.4913 | + | 10.6760i | −0.680214 | + | 0.392722i | −0.799936 | − | 0.600086i | \(-0.795133\pi\) |
0.119721 | + | 0.992808i | \(0.461800\pi\) | |||||||
\(740\) | 12.3387 | + | 16.3614i | 0.453581 | + | 0.601456i | ||||
\(741\) | − | 15.4741i | − | 0.568454i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.630683 | 0.0231375 | 0.0115688 | − | 0.999933i | \(-0.496317\pi\) | ||||
0.0115688 | + | 0.999933i | \(0.496317\pi\) | |||||||
\(744\) | 82.5300 | + | 29.1735i | 3.02570 | + | 1.06955i | ||||
\(745\) | 12.4924 | + | 21.6375i | 0.457687 | + | 0.792737i | ||||
\(746\) | −18.6449 | − | 9.29169i | −0.682640 | − | 0.340193i | ||||
\(747\) | −30.0617 | − | 17.3561i | −1.09990 | − | 0.635028i | ||||
\(748\) | 4.87689 | + | 2.06798i | 0.178317 | + | 0.0756127i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 28.4924 | + | 43.0299i | 1.04040 | + | 1.57123i | ||||
\(751\) | −4.31534 | + | 7.47439i | −0.157469 | + | 0.272744i | −0.933955 | − | 0.357390i | \(-0.883667\pi\) |
0.776486 | + | 0.630134i | \(0.217000\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −16.5616 | − | 28.6855i | −0.603537 | − | 1.04536i | ||||
\(754\) | 14.4631 | − | 0.887307i | 0.526716 | − | 0.0323138i | ||||
\(755\) | − | 18.4487i | − | 0.671419i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 26.3946i | − | 0.959328i | −0.877452 | − | 0.479664i | \(-0.840759\pi\) | ||
0.877452 | − | 0.479664i | \(-0.159241\pi\) | |||||||
\(758\) | 3.15292 | + | 51.3926i | 0.114519 | + | 1.86666i | ||||
\(759\) | 10.2462 | + | 17.7470i | 0.371914 | + | 0.644174i | ||||
\(760\) | 9.41687 | + | 11.0133i | 0.341586 | + | 0.399493i | ||||
\(761\) | 4.36932 | − | 7.56788i | 0.158388 | − | 0.274335i | −0.775900 | − | 0.630856i | \(-0.782704\pi\) |
0.934287 | + | 0.356521i | \(0.116037\pi\) | |||||||
\(762\) | −46.7386 | + | 30.9481i | −1.69316 | + | 1.12113i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −12.4924 | + | 29.4608i | −0.451960 | + | 1.06585i | ||||
\(765\) | 17.9885 | + | 10.3857i | 0.650375 | + | 0.375494i | ||||
\(766\) | 2.83374 | − | 5.68627i | 0.102387 | − | 0.205453i | ||||
\(767\) | −0.315342 | − | 0.546188i | −0.0113863 | − | 0.0197217i | ||||
\(768\) | 25.5484 | − | 41.0219i | 0.921898 | − | 1.48025i | ||||
\(769\) | 40.2462 | 1.45132 | 0.725658 | − | 0.688056i | \(-0.241536\pi\) | ||||
0.725658 | + | 0.688056i | \(0.241536\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 67.9372i | − | 2.44670i | ||||||
\(772\) | 13.3947 | + | 17.7616i | 0.482087 | + | 0.639255i | ||||
\(773\) | −1.46890 | + | 0.848071i | −0.0528327 | + | 0.0305030i | −0.526184 | − | 0.850371i | \(-0.676378\pi\) |
0.473351 | + | 0.880874i | \(0.343044\pi\) | |||||||
\(774\) | −10.2638 | − | 5.11494i | −0.368924 | − | 0.183853i | ||||
\(775\) | −10.8769 | + | 18.8393i | −0.390710 | + | 0.676729i | ||||
\(776\) | 34.0540 | − | 6.33122i | 1.22247 | − | 0.227277i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −29.3693 | + | 19.4470i | −1.05294 | + | 0.697209i | ||||
\(779\) | 11.1072 | + | 6.41273i | 0.397956 | + | 0.229760i | ||||
\(780\) | 2.12440 | + | 17.2487i | 0.0760655 | + | 0.617602i | ||||
\(781\) | −9.17507 | + | 5.29723i | −0.328310 | + | 0.189550i | ||||
\(782\) | 14.4631 | − | 0.887307i | 0.517201 | − | 0.0317300i | ||||
\(783\) | 56.9848 | 2.03647 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 14.3845 | 0.513404 | ||||||||
\(786\) | −53.0966 | + | 3.25745i | −1.89389 | + | 0.116189i | ||||
\(787\) | −9.13543 | + | 5.27434i | −0.325643 | + | 0.188010i | −0.653905 | − | 0.756577i | \(-0.726870\pi\) |
0.328262 | + | 0.944587i | \(0.393537\pi\) | |||||||
\(788\) | −5.25994 | − | 42.7072i | −0.187378 | − | 1.52138i | ||||
\(789\) | −32.6775 | − | 18.8664i | −1.16335 | − | 0.671660i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 4.19224 | + | 22.5490i | 0.148965 | + | 0.801242i | ||||
\(793\) | 1.43845 | − | 2.49146i | 0.0510808 | − | 0.0884745i | ||||
\(794\) | −26.0269 | − | 12.9705i | −0.923660 | − | 0.460305i | ||||
\(795\) | 11.7512 | − | 6.78456i | 0.416772 | − | 0.240624i | ||||
\(796\) | −21.9725 | − | 29.1360i | −0.778796 | − | 1.03270i | ||||
\(797\) | 25.8597i | 0.915998i | 0.888953 | + | 0.457999i | \(0.151434\pi\) | ||||
−0.888953 | + | 0.457999i | \(0.848566\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 8.86233 | + | 8.10566i | 0.313331 | + | 0.286578i | ||||
\(801\) | 49.7386 | + | 86.1498i | 1.75743 | + | 3.04395i | ||||
\(802\) | −0.553130 | + | 1.10993i | −0.0195317 | + | 0.0391928i | ||||
\(803\) | −6.88130 | − | 3.97292i | −0.242836 | − | 0.140201i | ||||
\(804\) | 27.1231 | − | 63.9643i | 0.956558 | − | 2.25585i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −20.4924 | + | 13.5691i | −0.721815 | + | 0.477952i | ||||
\(807\) | −17.9309 | + | 31.0572i | −0.631197 | + | 1.09326i | ||||
\(808\) | 22.3263 | − | 19.0901i | 0.785437 | − | 0.671586i | ||||
\(809\) | −18.9309 | − | 32.7892i | −0.665574 | − | 1.15281i | −0.979129 | − | 0.203238i | \(-0.934853\pi\) |
0.313555 | − | 0.949570i | \(-0.398480\pi\) | |||||||
\(810\) | 1.48692 | + | 24.2368i | 0.0522449 | + | 0.851594i | ||||
\(811\) | − | 15.8459i | − | 0.556425i | −0.960520 | − | 0.278213i | \(-0.910258\pi\) | ||
0.960520 | − | 0.278213i | \(-0.0897420\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 30.9481i | − | 1.08540i | ||||||
\(814\) | −11.2925 | + | 0.692789i | −0.395801 | + | 0.0242822i | ||||
\(815\) | −11.3693 | − | 19.6922i | −0.398250 | − | 0.689789i | ||||
\(816\) | 23.2325 | + | 6.64308i | 0.813300 | + | 0.232554i | ||||
\(817\) | 2.00000 | − | 3.46410i | 0.0699711 | − | 0.121194i | ||||
\(818\) | −20.3002 | − | 30.6578i | −0.709779 | − | 1.07193i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −13.2614 | − | 5.62329i | −0.463107 | − | 0.196374i | ||||
\(821\) | −29.0956 | − | 16.7984i | −1.01545 | − | 0.586268i | −0.102664 | − | 0.994716i | \(-0.532737\pi\) |
−0.912781 | + | 0.408449i | \(0.866070\pi\) | |||||||
\(822\) | −62.1112 | − | 30.9531i | −2.16638 | − | 1.07961i | ||||
\(823\) | 16.4924 | + | 28.5657i | 0.574890 | + | 0.995738i | 0.996054 | + | 0.0887536i | \(0.0282884\pi\) |
−0.421164 | + | 0.906985i | \(0.638378\pi\) | |||||||
\(824\) | −2.11741 | + | 5.99002i | −0.0737635 | + | 0.208672i | ||||
\(825\) | −8.49242 | −0.295668 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 6.20393i | 0.215732i | 0.994165 | + | 0.107866i | \(0.0344017\pi\) | ||||
−0.994165 | + | 0.107866i | \(0.965598\pi\) | |||||||
\(828\) | 37.7757 | + | 50.0912i | 1.31280 | + | 1.74079i | ||||
\(829\) | −40.3837 | + | 23.3155i | −1.40258 | + | 0.809781i | −0.994657 | − | 0.103234i | \(-0.967081\pi\) |
−0.407925 | + | 0.913015i | \(0.633748\pi\) | |||||||
\(830\) | −6.06531 | + | 12.1708i | −0.210530 | + | 0.422455i | ||||
\(831\) | 4.00000 | − | 6.92820i | 0.138758 | − | 0.240337i | ||||
\(832\) | 4.87689 | + | 12.6624i | 0.169076 | + | 0.438991i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −19.6155 | − | 29.6238i | −0.679230 | − | 1.02579i | ||||
\(835\) | −11.7512 | − | 6.78456i | −0.406667 | − | 0.234790i | ||||
\(836\) | −7.94001 | + | 0.977913i | −0.274611 | + | 0.0338218i | ||||
\(837\) | −83.7051 | + | 48.3272i | −2.89327 | + | 1.67043i | ||||
\(838\) | 2.41850 | + | 39.4216i | 0.0835457 | + | 1.36180i | ||||
\(839\) | 6.73863 | 0.232643 | 0.116322 | − | 0.993212i | \(-0.462890\pi\) | ||||
0.116322 | + | 0.993212i | \(0.462890\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.49242 | −0.258359 | ||||||||
\(842\) | −2.32190 | − | 37.8470i | −0.0800179 | − | 1.30429i | ||||
\(843\) | −15.6947 | + | 9.06134i | −0.540554 | + | 0.312089i | ||||
\(844\) | 1.15310 | + | 9.36244i | 0.0396914 | + | 0.322268i | ||||
\(845\) | 14.8698 | + | 8.58511i | 0.511538 | + | 0.295337i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 7.61553 | − | 7.36520i | 0.261518 | − | 0.252922i | ||||
\(849\) | 33.0540 | − | 57.2512i | 1.13441 | − | 1.96485i | ||||
\(850\) | −2.67844 | + | 5.37462i | −0.0918697 | + | 0.184348i | ||||
\(851\) | −26.8019 | + | 15.4741i | −0.918757 | + | 0.530444i | ||||
\(852\) | −38.5850 | + | 29.0984i | −1.32190 | + | 0.996894i | ||||
\(853\) | 25.4421i | 0.871121i | 0.900159 | + | 0.435561i | \(0.143450\pi\) | ||||
−0.900159 | + | 0.435561i | \(0.856550\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −31.3693 | −1.07281 | ||||||||
\(856\) | −37.7335 | − | 13.3384i | −1.28970 | − | 0.455897i | ||||
\(857\) | −23.4924 | − | 40.6901i | −0.802486 | − | 1.38995i | −0.917975 | − | 0.396638i | \(-0.870177\pi\) |
0.115489 | − | 0.993309i | \(-0.463156\pi\) | |||||||
\(858\) | −8.58753 | − | 4.27959i | −0.293174 | − | 0.146103i | ||||
\(859\) | 24.5478 | + | 14.1727i | 0.837559 | + | 0.483565i | 0.856434 | − | 0.516257i | \(-0.172675\pi\) |
−0.0188750 | + | 0.999822i | \(0.506008\pi\) | |||||||
\(860\) | −1.75379 | + | 4.13595i | −0.0598037 | + | 0.141035i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 13.7538 | + | 20.7713i | 0.468456 | + | 0.707473i | ||||
\(863\) | −18.2462 | + | 31.6034i | −0.621108 | + | 1.07579i | 0.368171 | + | 0.929758i | \(0.379984\pi\) |
−0.989280 | + | 0.146033i | \(0.953349\pi\) | |||||||
\(864\) | 16.0937 | + | 50.8774i | 0.547518 | + | 1.73088i | ||||
\(865\) | −16.1771 | − | 28.0195i | −0.550037 | − | 0.952692i | ||||
\(866\) | −26.1032 | + | 1.60142i | −0.887021 | + | 0.0544184i | ||||
\(867\) | − | 39.2658i | − | 1.33354i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −2.68007 | − | 43.6852i | −0.0908627 | − | 1.48107i | ||||
\(871\) | 9.75379 | + | 16.8941i | 0.330495 | + | 0.572433i | ||||
\(872\) | 38.9588 | − | 33.3116i | 1.31931 | − | 1.12807i | ||||
\(873\) | −37.4924 | + | 64.9388i | −1.26893 | + | 2.19784i | ||||
\(874\) | −18.2462 | + | 12.0818i | −0.617187 | + | 0.408673i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −33.3693 | − | 14.1498i | −1.12744 | − | 0.478076i | ||||
\(877\) | 30.7454 | + | 17.7509i | 1.03820 | + | 0.599404i | 0.919322 | − | 0.393505i | \(-0.128738\pi\) |
0.118875 | + | 0.992909i | \(0.462071\pi\) | |||||||
\(878\) | −14.3431 | + | 28.7813i | −0.484058 | + | 0.971323i | ||||
\(879\) | −15.6847 | − | 27.1666i | −0.529030 | − | 0.916308i | ||||
\(880\) | 8.71633 | − | 2.18013i | 0.293828 | − | 0.0734920i | ||||
\(881\) | −44.2462 | −1.49069 | −0.745346 | − | 0.666677i | \(-0.767716\pi\) | ||||
−0.745346 | + | 0.666677i | \(0.767716\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.71659i | 0.158726i | 0.996846 | + | 0.0793629i | \(0.0252886\pi\) | ||||
−0.996846 | + | 0.0793629i | \(0.974711\pi\) | |||||||
\(884\) | −5.41687 | + | 4.08507i | −0.182189 | + | 0.137396i | ||||
\(885\) | −1.64973 | + | 0.952473i | −0.0554551 | + | 0.0320170i | ||||
\(886\) | −9.32247 | − | 4.64585i | −0.313195 | − | 0.156080i | ||||
\(887\) | −14.2462 | + | 24.6752i | −0.478341 | + | 0.828511i | −0.999692 | − | 0.0248317i | \(-0.992095\pi\) |
0.521351 | + | 0.853343i | \(0.325428\pi\) | |||||||
\(888\) | −50.7386 | + | 9.43318i | −1.70268 | + | 0.316557i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 32.4924 | − | 21.5150i | 1.08915 | − | 0.721183i | ||||
\(891\) | −11.6100 | − | 6.70305i | −0.388950 | − | 0.224561i | ||||
\(892\) | 11.4213 | − | 1.40668i | 0.382413 | − | 0.0470990i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −62.8037 | + | 3.85298i | −2.10047 | + | 0.128863i | ||||
\(895\) | 8.00000 | 0.267411 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −26.2462 | −0.876335 | ||||||||
\(898\) | −23.6276 | + | 1.44954i | −0.788463 | + | 0.0483718i | ||||
\(899\) | 53.6038 | − | 30.9481i | 1.78779 | − | 1.03218i | ||||
\(900\) | −25.8050 | + | 3.17822i | −0.860167 | + | 0.105941i | ||||
\(901\) | 4.58753 | + | 2.64861i | 0.152833 | + | 0.0882381i | ||||
\(902\) | 6.63068 | − | 4.39053i | 0.220778 | − | 0.146189i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −13.5616 | + | 2.52132i | −0.451051 | + | 0.0838580i | ||||
\(905\) | −5.93087 | + | 10.2726i | −0.197149 | + | 0.341472i | ||||
\(906\) | 41.5837 | + | 20.7232i | 1.38152 | + | 0.688482i | ||||
\(907\) | 44.6492 | − | 25.7782i | 1.48255 | − | 0.855951i | 0.482748 | − | 0.875760i | \(-0.339639\pi\) |
0.999804 | + | 0.0198082i | \(0.00630555\pi\) | |||||||
\(908\) | 15.6569 | − | 11.8074i | 0.519591 | − | 0.391844i | ||||
\(909\) | 63.5924i | 2.10923i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.8617 | 0.392997 | 0.196498 | − | 0.980504i | \(-0.437043\pi\) | ||||
0.196498 | + | 0.980504i | \(0.437043\pi\) | |||||||
\(912\) | −35.4019 | + | 8.85469i | −1.17227 | + | 0.293208i | ||||
\(913\) | −3.75379 | − | 6.50175i | −0.124232 | − | 0.215177i | ||||
\(914\) | 10.9563 | − | 21.9851i | 0.362401 | − | 0.727204i | ||||
\(915\) | −7.52534 | − | 4.34475i | −0.248780 | − | 0.143633i | ||||
\(916\) | 47.6155 | + | 20.1907i | 1.57326 | + | 0.667118i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −22.2462 | + | 14.7304i | −0.734234 | + | 0.486176i | ||||
\(919\) | −4.00000 | + | 6.92820i | −0.131948 | + | 0.228540i | −0.924427 | − | 0.381358i | \(-0.875456\pi\) |
0.792480 | + | 0.609898i | \(0.208790\pi\) | |||||||
\(920\) | 18.6801 | − | 15.9723i | 0.615864 | − | 0.526593i | ||||
\(921\) | 38.1771 | + | 66.1246i | 1.25798 | + | 2.17888i | ||||
\(922\) | 2.11061 | + | 34.4031i | 0.0695094 | + | 1.13301i | ||||
\(923\) | − | 13.5691i | − | 0.446633i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 12.8255i | − | 0.421699i | ||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −6.87689 | − | 11.9111i | −0.225867 | − | 0.391213i | ||||
\(928\) | −10.3062 | − | 32.5813i | −0.338318 | − | 1.06953i | ||||
\(929\) | −1.24621 | + | 2.15850i | −0.0408869 | + | 0.0708181i | −0.885745 | − | 0.464173i | \(-0.846352\pi\) |
0.844858 | + | 0.534991i | \(0.179685\pi\) | |||||||
\(930\) | 40.9848 | + | 61.8963i | 1.34395 | + | 2.02966i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 12.6847 | − | 29.9142i | 0.415500 | − | 0.979871i | ||||
\(933\) | −32.6775 | − | 18.8664i | −1.06981 | − | 0.617657i | ||||
\(934\) | 3.82312 | + | 1.90525i | 0.125096 | + | 0.0623416i | ||||
\(935\) | 2.24621 | + | 3.89055i | 0.0734590 | + | 0.127235i | ||||
\(936\) | −27.6956 | − | 9.79012i | −0.905260 | − | 0.320000i | ||||
\(937\) | −34.9848 | −1.14291 | −0.571453 | − | 0.820635i | \(-0.693620\pi\) | ||||
−0.571453 | + | 0.820635i | \(0.693620\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 62.6400i | 2.04418i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 26.6211 | − | 15.3697i | 0.867821 | − | 0.501037i | 0.00119780 | − | 0.999999i | \(-0.499619\pi\) |
0.866624 | + | 0.498962i | \(0.166285\pi\) | |||||||
\(942\) | −16.1578 | + | 32.4227i | −0.526451 | + | 1.05639i | ||||
\(943\) | 10.8769 | − | 18.8393i | 0.354200 | − | 0.613493i | ||||
\(944\) | −1.06913 | + | 1.03399i | −0.0347972 | + | 0.0336534i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.36932 | − | 2.06798i | −0.0445203 | − | 0.0672357i | ||||
\(947\) | 36.1181 | + | 20.8528i | 1.17368 | + | 0.677625i | 0.954544 | − | 0.298069i | \(-0.0963424\pi\) |
0.219137 | + | 0.975694i | \(0.429676\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.81341 | − | 5.08842i | 0.286095 | − | 0.165177i | ||||
\(950\) | −0.555333 | − | 9.05195i | −0.0180174 | − | 0.293684i | ||||
\(951\) | −12.4924 | −0.405095 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −17.5076 | −0.567126 | −0.283563 | − | 0.958954i | \(-0.591517\pi\) | ||||
−0.283563 | + | 0.958954i | \(0.591517\pi\) | |||||||
\(954\) | 1.40443 | + | 22.8923i | 0.0454702 | + | 0.741166i | ||||
\(955\) | −23.5024 | + | 13.5691i | −0.760520 | + | 0.439087i | ||||
\(956\) | −34.9668 | + | 4.30661i | −1.13091 | + | 0.139286i | ||||
\(957\) | 20.9263 | + | 12.0818i | 0.676450 | + | 0.390549i | ||||
\(958\) | −8.00000 | − | 12.0818i | −0.258468 | − | 0.390345i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 38.2462 | − | 14.7304i | 1.23439 | − | 0.475422i | ||||
\(961\) | −36.9924 | + | 64.0728i | −1.19330 | + | 2.06686i | ||||
\(962\) | 6.46314 | − | 12.9691i | 0.208380 | − | 0.418141i | ||||
\(963\) | 75.0329 | − | 43.3203i | 2.41790 | − | 1.39598i | ||||
\(964\) | −4.52041 | − | 5.99413i | −0.145592 | − | 0.193058i | ||||
\(965\) | 18.8664i | 0.607329i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.8769 | −0.349777 | −0.174889 | − | 0.984588i | \(-0.555957\pi\) | ||||
−0.174889 | + | 0.984588i | \(0.555957\pi\) | |||||||
\(968\) | 8.71602 | − | 24.6571i | 0.280143 | − | 0.792508i | ||||
\(969\) | −9.12311 | − | 15.8017i | −0.293076 | − | 0.507623i | ||||
\(970\) | 26.2912 | + | 13.1022i | 0.844159 | + | 0.420686i | ||||
\(971\) | 9.49709 | + | 5.48314i | 0.304776 | + | 0.175962i | 0.644586 | − | 0.764531i | \(-0.277030\pi\) |
−0.339810 | + | 0.940494i | \(0.610363\pi\) | |||||||
\(972\) | −4.19224 | − | 1.77766i | −0.134466 | − | 0.0570183i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0.492423 | + | 0.743668i | 0.0157782 | + | 0.0238287i | ||||
\(975\) | 5.43845 | − | 9.41967i | 0.174170 | − | 0.301671i | ||||
\(976\) | −6.52313 | − | 1.86522i | −0.208800 | − | 0.0597042i | ||||
\(977\) | −11.8769 | − | 20.5714i | −0.379976 | − | 0.658137i | 0.611083 | − | 0.791567i | \(-0.290734\pi\) |
−0.991058 | + | 0.133430i | \(0.957401\pi\) | |||||||
\(978\) | 57.1575 | − | 3.50659i | 1.82769 | − | 0.112128i | ||||
\(979\) | 21.5150i | 0.687621i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 110.967i | 3.54291i | ||||||||
\(982\) | −2.95971 | − | 48.2434i | −0.0944483 | − | 1.53951i | ||||
\(983\) | −17.1231 | − | 29.6581i | −0.546142 | − | 0.945946i | −0.998534 | − | 0.0541268i | \(-0.982762\pi\) |
0.452392 | − | 0.891819i | \(-0.350571\pi\) | |||||||
\(984\) | 27.5712 | − | 23.5747i | 0.878939 | − | 0.751534i | ||||
\(985\) | 18.2462 | − | 31.6034i | 0.581373 | − | 1.00697i | ||||
\(986\) | 14.2462 | − | 9.43318i | 0.453692 | − | 0.300414i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 4.00000 | − | 9.43318i | 0.127257 | − | 0.300109i | ||||
\(989\) | −5.87560 | − | 3.39228i | −0.186833 | − | 0.107868i | ||||
\(990\) | −8.67566 | + | 17.4088i | −0.275731 | + | 0.553288i | ||||
\(991\) | 18.2462 | + | 31.6034i | 0.579610 | + | 1.00391i | 0.995524 | + | 0.0945100i | \(0.0301284\pi\) |
−0.415914 | + | 0.909404i | \(0.636538\pi\) | |||||||
\(992\) | 42.7700 | + | 39.1183i | 1.35795 | + | 1.24201i | ||||
\(993\) | −44.9848 | −1.42755 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 30.9481i | − | 0.981122i | ||||||
\(996\) | −20.6201 | − | 27.3426i | −0.653372 | − | 0.866382i | ||||
\(997\) | 28.6324 | − | 16.5309i | 0.906799 | − | 0.523540i | 0.0273989 | − | 0.999625i | \(-0.491278\pi\) |
0.879400 | + | 0.476084i | \(0.157944\pi\) | |||||||
\(998\) | −11.2051 | − | 5.58403i | −0.354690 | − | 0.176759i | ||||
\(999\) | 28.4924 | − | 49.3503i | 0.901460 | − | 1.56138i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))