Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(11,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bu (of order \(12\), degree \(4\), 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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 336.11 |
Dual form | 336.2.bu.a.275.3 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37508 | − | 0.330401i | −0.972326 | − | 0.233629i | ||||
\(3\) | 1.72844 | − | 0.111804i | 0.997914 | − | 0.0645502i | ||||
\(4\) | 1.78167 | + | 0.908653i | 0.890835 | + | 0.454326i | ||||
\(5\) | −0.754514 | − | 0.202171i | −0.337429 | − | 0.0904138i | 0.0861259 | − | 0.996284i | \(-0.472551\pi\) |
−0.423555 | + | 0.905870i | \(0.639218\pi\) | |||||||
\(6\) | −2.41368 | − | 0.417338i | −0.985379 | − | 0.170378i | ||||
\(7\) | −2.17010 | + | 1.51350i | −0.820220 | + | 0.572048i | ||||
\(8\) | −2.14971 | − | 1.83813i | −0.760039 | − | 0.649878i | ||||
\(9\) | 2.97500 | − | 0.386494i | 0.991667 | − | 0.128831i | ||||
\(10\) | 0.970717 | + | 0.527293i | 0.306968 | + | 0.166745i | ||||
\(11\) | 5.08163 | − | 1.36162i | 1.53217 | − | 0.410544i | 0.608444 | − | 0.793597i | \(-0.291794\pi\) |
0.923726 | + | 0.383053i | \(0.125127\pi\) | |||||||
\(12\) | 3.18110 | + | 1.37135i | 0.918304 | + | 0.395875i | ||||
\(13\) | 1.87763 | − | 1.87763i | 0.520760 | − | 0.520760i | −0.397041 | − | 0.917801i | \(-0.629963\pi\) |
0.917801 | + | 0.397041i | \(0.129963\pi\) | |||||||
\(14\) | 3.48411 | − | 1.36417i | 0.931168 | − | 0.364590i | ||||
\(15\) | −1.32673 | − | 0.265083i | −0.342562 | − | 0.0684441i | ||||
\(16\) | 2.34870 | + | 3.23784i | 0.587175 | + | 0.809460i | ||||
\(17\) | 5.05298 | + | 2.91734i | 1.22553 | + | 0.707559i | 0.966091 | − | 0.258202i | \(-0.0831299\pi\) |
0.259436 | + | 0.965760i | \(0.416463\pi\) | |||||||
\(18\) | −4.21855 | − | 0.451484i | −0.994322 | − | 0.106416i | ||||
\(19\) | 0.230416 | − | 0.859925i | 0.0528611 | − | 0.197280i | −0.934446 | − | 0.356106i | \(-0.884104\pi\) |
0.987307 | + | 0.158826i | \(0.0507708\pi\) | |||||||
\(20\) | −1.16059 | − | 1.04579i | −0.259516 | − | 0.233847i | ||||
\(21\) | −3.58167 | + | 2.85861i | −0.781584 | + | 0.623800i | ||||
\(22\) | −7.43751 | + | 0.193355i | −1.58568 | + | 0.0412235i | ||||
\(23\) | −2.30923 | + | 1.33323i | −0.481507 | + | 0.277998i | −0.721044 | − | 0.692889i | \(-0.756338\pi\) |
0.239537 | + | 0.970887i | \(0.423004\pi\) | |||||||
\(24\) | −3.92116 | − | 2.93675i | −0.800403 | − | 0.599462i | ||||
\(25\) | −3.80171 | − | 2.19492i | −0.760342 | − | 0.438984i | ||||
\(26\) | −3.20225 | + | 1.96151i | −0.628013 | + | 0.384684i | ||||
\(27\) | 5.09889 | − | 1.00065i | 0.981282 | − | 0.192575i | ||||
\(28\) | −5.24164 | + | 0.724684i | −0.990578 | + | 0.136952i | ||||
\(29\) | 2.32537 | + | 2.32537i | 0.431810 | + | 0.431810i | 0.889244 | − | 0.457434i | \(-0.151231\pi\) |
−0.457434 | + | 0.889244i | \(0.651231\pi\) | |||||||
\(30\) | 1.73678 | + | 0.802864i | 0.317091 | + | 0.146582i | ||||
\(31\) | 6.21837 | + | 3.59018i | 1.11685 | + | 0.644815i | 0.940595 | − | 0.339530i | \(-0.110268\pi\) |
0.176256 | + | 0.984344i | \(0.443601\pi\) | |||||||
\(32\) | −2.15986 | − | 5.22829i | −0.381812 | − | 0.924240i | ||||
\(33\) | 8.63106 | − | 2.92162i | 1.50247 | − | 0.508589i | ||||
\(34\) | −5.98434 | − | 5.68107i | −1.02631 | − | 0.974296i | ||||
\(35\) | 1.94336 | − | 0.703222i | 0.328487 | − | 0.118866i | ||||
\(36\) | 5.65166 | + | 2.01464i | 0.941943 | + | 0.335773i | ||||
\(37\) | 0.780980 | − | 2.91466i | 0.128392 | − | 0.479167i | −0.871545 | − | 0.490315i | \(-0.836882\pi\) |
0.999938 | + | 0.0111478i | \(0.00354853\pi\) | |||||||
\(38\) | −0.600960 | + | 1.10633i | −0.0974886 | + | 0.179471i | ||||
\(39\) | 3.03544 | − | 3.45529i | 0.486059 | − | 0.553289i | ||||
\(40\) | 1.25037 | + | 1.82151i | 0.197701 | + | 0.288006i | ||||
\(41\) | −4.47045 | −0.698167 | −0.349084 | − | 0.937092i | \(-0.613507\pi\) | ||||
−0.349084 | + | 0.937092i | \(0.613507\pi\) | |||||||
\(42\) | 5.86955 | − | 2.74742i | 0.905692 | − | 0.423936i | ||||
\(43\) | −7.38377 | + | 7.38377i | −1.12602 | + | 1.12602i | −0.135196 | + | 0.990819i | \(0.543166\pi\) |
−0.990819 | + | 0.135196i | \(0.956834\pi\) | |||||||
\(44\) | 10.2910 | + | 2.19148i | 1.55143 | + | 0.330378i | ||||
\(45\) | −2.32282 | − | 0.309845i | −0.346265 | − | 0.0461890i | ||||
\(46\) | 3.61586 | − | 1.07033i | 0.533130 | − | 0.157811i | ||||
\(47\) | −2.95041 | − | 5.11026i | −0.430361 | − | 0.745407i | 0.566543 | − | 0.824032i | \(-0.308280\pi\) |
−0.996904 | + | 0.0786247i | \(0.974947\pi\) | |||||||
\(48\) | 4.42159 | + | 5.33381i | 0.638201 | + | 0.769870i | ||||
\(49\) | 2.41866 | − | 6.56887i | 0.345523 | − | 0.938410i | ||||
\(50\) | 4.50244 | + | 4.27427i | 0.636741 | + | 0.604473i | ||||
\(51\) | 9.05994 | + | 4.47750i | 1.26864 | + | 0.626975i | ||||
\(52\) | 5.05142 | − | 1.63920i | 0.700506 | − | 0.227316i | ||||
\(53\) | −2.40475 | − | 8.97464i | −0.330317 | − | 1.23276i | −0.908857 | − | 0.417107i | \(-0.863044\pi\) |
0.578540 | − | 0.815654i | \(-0.303623\pi\) | |||||||
\(54\) | −7.34198 | − | 0.308710i | −0.999117 | − | 0.0420101i | ||||
\(55\) | −4.10944 | −0.554117 | ||||||||
\(56\) | 7.44710 | + | 0.735348i | 0.995160 | + | 0.0982650i | ||||
\(57\) | 0.302117 | − | 1.51209i | 0.0400164 | − | 0.200281i | ||||
\(58\) | −2.42926 | − | 3.96586i | −0.318977 | − | 0.520743i | ||||
\(59\) | −1.93628 | + | 0.518825i | −0.252082 | + | 0.0675453i | −0.382647 | − | 0.923894i | \(-0.624988\pi\) |
0.130565 | + | 0.991440i | \(0.458321\pi\) | |||||||
\(60\) | −2.12294 | − | 1.67783i | −0.274070 | − | 0.216607i | ||||
\(61\) | 3.47073 | + | 0.929978i | 0.444381 | + | 0.119072i | 0.474069 | − | 0.880488i | \(-0.342785\pi\) |
−0.0296881 | + | 0.999559i | \(0.509451\pi\) | |||||||
\(62\) | −7.36453 | − | 6.99132i | −0.935297 | − | 0.887899i | ||||
\(63\) | −5.87109 | + | 5.34138i | −0.739688 | + | 0.672950i | ||||
\(64\) | 1.24254 | + | 7.90292i | 0.155317 | + | 0.987865i | ||||
\(65\) | −1.79630 | + | 1.03709i | −0.222803 | + | 0.128636i | ||||
\(66\) | −12.8337 | + | 1.16575i | −1.57972 | + | 0.143494i | ||||
\(67\) | −3.49054 | + | 0.935287i | −0.426437 | + | 0.114264i | −0.465653 | − | 0.884967i | \(-0.654181\pi\) |
0.0392160 | + | 0.999231i | \(0.487514\pi\) | |||||||
\(68\) | 6.35190 | + | 9.78914i | 0.770281 | + | 1.18711i | ||||
\(69\) | −3.84229 | + | 2.56259i | −0.462558 | + | 0.308500i | ||||
\(70\) | −2.90461 | + | 0.324897i | −0.347167 | + | 0.0388326i | ||||
\(71\) | 1.26188i | 0.149758i | 0.997193 | + | 0.0748791i | \(0.0238571\pi\) | ||||
−0.997193 | + | 0.0748791i | \(0.976143\pi\) | |||||||
\(72\) | −7.10582 | − | 4.63759i | −0.837429 | − | 0.546546i | ||||
\(73\) | −3.84560 | − | 2.22026i | −0.450094 | − | 0.259862i | 0.257776 | − | 0.966205i | \(-0.417010\pi\) |
−0.707870 | + | 0.706343i | \(0.750344\pi\) | |||||||
\(74\) | −2.03691 | + | 3.74984i | −0.236786 | + | 0.435910i | ||||
\(75\) | −6.81642 | − | 3.36873i | −0.787093 | − | 0.388988i | ||||
\(76\) | 1.19190 | − | 1.32274i | 0.136720 | − | 0.151728i | ||||
\(77\) | −8.96684 | + | 10.6459i | −1.02187 | + | 1.21321i | ||||
\(78\) | −5.31559 | + | 3.74838i | −0.601872 | + | 0.424420i | ||||
\(79\) | −13.8954 | + | 8.02251i | −1.56335 | + | 0.902602i | −0.566439 | + | 0.824104i | \(0.691679\pi\) |
−0.996914 | + | 0.0784990i | \(0.974987\pi\) | |||||||
\(80\) | −1.11753 | − | 2.91784i | −0.124944 | − | 0.326224i | ||||
\(81\) | 8.70125 | − | 2.29964i | 0.966805 | − | 0.255515i | ||||
\(82\) | 6.14721 | + | 1.47704i | 0.678846 | + | 0.163112i | ||||
\(83\) | −6.66544 | + | 6.66544i | −0.731627 | + | 0.731627i | −0.970942 | − | 0.239315i | \(-0.923077\pi\) |
0.239315 | + | 0.970942i | \(0.423077\pi\) | |||||||
\(84\) | −8.97884 | + | 1.83861i | −0.979671 | + | 0.200609i | ||||
\(85\) | −3.22274 | − | 3.22274i | −0.349555 | − | 0.349555i | ||||
\(86\) | 12.5929 | − | 7.71365i | 1.35792 | − | 0.831784i | ||||
\(87\) | 4.27924 | + | 3.75927i | 0.458783 | + | 0.403036i | ||||
\(88\) | −13.4269 | − | 6.41362i | −1.43131 | − | 0.683694i | ||||
\(89\) | −7.91568 | − | 13.7104i | −0.839060 | − | 1.45330i | −0.890681 | − | 0.454629i | \(-0.849772\pi\) |
0.0516207 | − | 0.998667i | \(-0.483561\pi\) | |||||||
\(90\) | 3.09168 | + | 1.19352i | 0.325892 | + | 0.125808i | ||||
\(91\) | −1.23286 | + | 6.91642i | −0.129239 | + | 0.725037i | ||||
\(92\) | −5.32573 | + | 0.277096i | −0.555245 | + | 0.0288893i | ||||
\(93\) | 11.1495 | + | 5.51016i | 1.15615 | + | 0.571377i | ||||
\(94\) | 2.36860 | + | 8.00181i | 0.244303 | + | 0.825324i | ||||
\(95\) | −0.347705 | + | 0.602242i | −0.0356737 | + | 0.0617887i | ||||
\(96\) | −4.31773 | − | 8.79530i | −0.440676 | − | 0.897666i | ||||
\(97\) | −1.21416 | −0.123279 | −0.0616394 | − | 0.998098i | \(-0.519633\pi\) | ||||
−0.0616394 | + | 0.998098i | \(0.519633\pi\) | |||||||
\(98\) | −5.49621 | + | 8.23357i | −0.555201 | + | 0.831716i | ||||
\(99\) | 14.5916 | − | 6.01484i | 1.46651 | − | 0.604514i | ||||
\(100\) | −4.77897 | − | 7.36505i | −0.477897 | − | 0.736505i | ||||
\(101\) | 1.70137 | + | 6.34960i | 0.169293 | + | 0.631808i | 0.997454 | + | 0.0713182i | \(0.0227206\pi\) |
−0.828161 | + | 0.560490i | \(0.810613\pi\) | |||||||
\(102\) | −10.9787 | − | 9.15031i | −1.08706 | − | 0.906016i | ||||
\(103\) | 3.18462 | + | 5.51593i | 0.313790 | + | 0.543501i | 0.979180 | − | 0.202996i | \(-0.0650678\pi\) |
−0.665389 | + | 0.746497i | \(0.731734\pi\) | |||||||
\(104\) | −7.48769 | + | 0.585033i | −0.734228 | + | 0.0573672i | ||||
\(105\) | 3.28035 | − | 1.43275i | 0.320129 | − | 0.139822i | ||||
\(106\) | 0.341483 | + | 13.1353i | 0.0331678 | + | 1.27582i | ||||
\(107\) | −4.85135 | + | 18.1055i | −0.468998 | + | 1.75032i | 0.174285 | + | 0.984695i | \(0.444239\pi\) |
−0.643283 | + | 0.765629i | \(0.722428\pi\) | |||||||
\(108\) | 9.99379 | + | 2.85030i | 0.961653 | + | 0.274270i | ||||
\(109\) | −3.78984 | − | 14.1439i | −0.363001 | − | 1.35474i | −0.870111 | − | 0.492856i | \(-0.835953\pi\) |
0.507110 | − | 0.861881i | \(-0.330714\pi\) | |||||||
\(110\) | 5.65080 | + | 1.35776i | 0.538783 | + | 0.129458i | ||||
\(111\) | 1.02401 | − | 5.12512i | 0.0971943 | − | 0.486455i | ||||
\(112\) | −9.99737 | − | 3.47169i | −0.944663 | − | 0.328044i | ||||
\(113\) | − | 15.8670i | − | 1.49264i | −0.665587 | − | 0.746321i | \(-0.731819\pi\) | ||
0.665587 | − | 0.746321i | \(-0.268181\pi\) | |||||||
\(114\) | −0.915030 | + | 1.97942i | −0.0857004 | + | 0.185390i | ||||
\(115\) | 2.01189 | − | 0.539083i | 0.187609 | − | 0.0502698i | ||||
\(116\) | 2.03009 | + | 6.25599i | 0.188489 | + | 0.580854i | ||||
\(117\) | 4.86025 | − | 6.31163i | 0.449330 | − | 0.583510i | ||||
\(118\) | 2.83395 | − | 0.0736751i | 0.260887 | − | 0.00678235i | ||||
\(119\) | −15.3808 | + | 1.31675i | −1.40996 | + | 0.120706i | ||||
\(120\) | 2.36484 | + | 3.00857i | 0.215880 | + | 0.274643i | ||||
\(121\) | 14.4427 | − | 8.33850i | 1.31297 | − | 0.758046i | ||||
\(122\) | −4.46525 | − | 2.42552i | −0.404265 | − | 0.219596i | ||||
\(123\) | −7.72690 | + | 0.499816i | −0.696711 | + | 0.0450669i | ||||
\(124\) | 7.81686 | + | 12.0468i | 0.701975 | + | 1.08184i | ||||
\(125\) | 5.18641 | + | 5.18641i | 0.463886 | + | 0.463886i | ||||
\(126\) | 9.83799 | − | 5.40499i | 0.876438 | − | 0.481515i | ||||
\(127\) | 1.55313i | 0.137818i | 0.997623 | + | 0.0689089i | \(0.0219518\pi\) | ||||
−0.997623 | + | 0.0689089i | \(0.978048\pi\) | |||||||
\(128\) | 0.902545 | − | 11.2777i | 0.0797745 | − | 0.996813i | ||||
\(129\) | −11.9369 | + | 13.5879i | −1.05098 | + | 1.19635i | ||||
\(130\) | 2.81270 | − | 0.832584i | 0.246690 | − | 0.0730225i | ||||
\(131\) | 8.93944 | + | 2.39532i | 0.781043 | + | 0.209280i | 0.627244 | − | 0.778823i | \(-0.284183\pi\) |
0.153798 | + | 0.988102i | \(0.450849\pi\) | |||||||
\(132\) | 18.0324 | + | 2.63726i | 1.56952 | + | 0.229544i | ||||
\(133\) | 0.801467 | + | 2.21486i | 0.0694960 | + | 0.192052i | ||||
\(134\) | 5.10878 | − | 0.132814i | 0.441331 | − | 0.0114734i | ||||
\(135\) | −4.04949 | − | 0.275847i | −0.348525 | − | 0.0237411i | ||||
\(136\) | −5.50000 | − | 15.5595i | −0.471621 | − | 1.33422i | ||||
\(137\) | −4.59559 | + | 7.95980i | −0.392628 | + | 0.680052i | −0.992795 | − | 0.119823i | \(-0.961767\pi\) |
0.600167 | + | 0.799875i | \(0.295101\pi\) | |||||||
\(138\) | 6.13013 | − | 2.25426i | 0.521831 | − | 0.191896i | ||||
\(139\) | 4.40063 | − | 4.40063i | 0.373257 | − | 0.373257i | −0.495405 | − | 0.868662i | \(-0.664980\pi\) |
0.868662 | + | 0.495405i | \(0.164980\pi\) | |||||||
\(140\) | 4.10141 | + | 0.512927i | 0.346632 | + | 0.0433502i | ||||
\(141\) | −5.67095 | − | 8.50289i | −0.477580 | − | 0.716073i | ||||
\(142\) | 0.416928 | − | 1.73519i | 0.0349878 | − | 0.145614i | ||||
\(143\) | 6.98480 | − | 12.0980i | 0.584098 | − | 1.01169i | ||||
\(144\) | 8.23879 | + | 8.72481i | 0.686566 | + | 0.727068i | ||||
\(145\) | −1.28440 | − | 2.22465i | −0.106664 | − | 0.184747i | ||||
\(146\) | 4.55442 | + | 4.32362i | 0.376927 | + | 0.357825i | ||||
\(147\) | 3.44608 | − | 11.6243i | 0.284228 | − | 0.958757i | ||||
\(148\) | 4.03986 | − | 4.48332i | 0.332075 | − | 0.368527i | ||||
\(149\) | −13.6759 | − | 3.66445i | −1.12037 | − | 0.300203i | −0.349340 | − | 0.936996i | \(-0.613594\pi\) |
−0.771035 | + | 0.636793i | \(0.780261\pi\) | |||||||
\(150\) | 8.26007 | + | 6.88442i | 0.674432 | + | 0.562110i | ||||
\(151\) | −4.32448 | + | 7.49022i | −0.351921 | + | 0.609545i | −0.986586 | − | 0.163242i | \(-0.947805\pi\) |
0.634665 | + | 0.772788i | \(0.281138\pi\) | |||||||
\(152\) | −2.07599 | + | 1.42506i | −0.168385 | + | 0.115587i | ||||
\(153\) | 16.1601 | + | 6.72614i | 1.30647 | + | 0.543776i | ||||
\(154\) | 15.8475 | − | 11.6762i | 1.27703 | − | 0.940899i | ||||
\(155\) | −3.96602 | − | 3.96602i | −0.318558 | − | 0.318558i | ||||
\(156\) | 8.54780 | − | 3.39803i | 0.684372 | − | 0.272060i | ||||
\(157\) | 0.697413 | + | 2.60278i | 0.0556596 | + | 0.207724i | 0.988155 | − | 0.153456i | \(-0.0490404\pi\) |
−0.932496 | + | 0.361181i | \(0.882374\pi\) | |||||||
\(158\) | 21.7579 | − | 6.44051i | 1.73096 | − | 0.512380i | ||||
\(159\) | −5.15986 | − | 15.2432i | −0.409203 | − | 1.20887i | ||||
\(160\) | 0.572632 | + | 4.38148i | 0.0452705 | + | 0.346386i | ||||
\(161\) | 2.99341 | − | 6.38825i | 0.235914 | − | 0.503465i | ||||
\(162\) | −12.7247 | + | 0.287278i | −0.999745 | + | 0.0225707i | ||||
\(163\) | −0.593685 | + | 2.21566i | −0.0465010 | + | 0.173544i | −0.985271 | − | 0.171001i | \(-0.945300\pi\) |
0.938770 | + | 0.344545i | \(0.111967\pi\) | |||||||
\(164\) | −7.96487 | − | 4.06209i | −0.621952 | − | 0.317196i | ||||
\(165\) | −7.10292 | + | 0.459454i | −0.552962 | + | 0.0357684i | ||||
\(166\) | 11.3678 | − | 6.96323i | 0.882309 | − | 0.540451i | ||||
\(167\) | − | 19.3308i | − | 1.49586i | −0.663777 | − | 0.747931i | \(-0.731047\pi\) | ||
0.663777 | − | 0.747931i | \(-0.268953\pi\) | |||||||
\(168\) | 12.9541 | + | 0.438386i | 0.999428 | + | 0.0338222i | ||||
\(169\) | 5.94904i | 0.457618i | ||||||||
\(170\) | 3.36672 | + | 5.49631i | 0.258216 | + | 0.421548i | ||||
\(171\) | 0.353133 | − | 2.64733i | 0.0270047 | − | 0.202447i | ||||
\(172\) | −19.8647 | + | 6.44617i | −1.51467 | + | 0.491516i | ||||
\(173\) | −5.68241 | + | 21.2070i | −0.432025 | + | 1.61234i | 0.316061 | + | 0.948739i | \(0.397640\pi\) |
−0.748086 | + | 0.663602i | \(0.769027\pi\) | |||||||
\(174\) | −4.64222 | − | 6.58315i | −0.351926 | − | 0.499067i | ||||
\(175\) | 11.5721 | − | 0.990680i | 0.874767 | − | 0.0748884i | ||||
\(176\) | 16.3439 | + | 13.2555i | 1.23197 | + | 0.999169i | ||||
\(177\) | −3.28874 | + | 1.11324i | −0.247197 | + | 0.0836764i | ||||
\(178\) | 6.35475 | + | 21.4681i | 0.476309 | + | 1.60911i | ||||
\(179\) | 0.384389 | + | 1.43456i | 0.0287306 | + | 0.107224i | 0.978802 | − | 0.204808i | \(-0.0656570\pi\) |
−0.950072 | + | 0.312032i | \(0.898990\pi\) | |||||||
\(180\) | −3.85695 | − | 2.66268i | −0.287480 | − | 0.198464i | ||||
\(181\) | 15.0817 | + | 15.0817i | 1.12101 | + | 1.12101i | 0.991589 | + | 0.129425i | \(0.0413133\pi\) |
0.129425 | + | 0.991589i | \(0.458687\pi\) | |||||||
\(182\) | 3.98046 | − | 9.10326i | 0.295051 | − | 0.674779i | ||||
\(183\) | 6.10291 | + | 1.21937i | 0.451140 | + | 0.0901383i | ||||
\(184\) | 7.41483 | + | 1.37860i | 0.546629 | + | 0.101631i | ||||
\(185\) | −1.17852 | + | 2.04126i | −0.0866466 | + | 0.150076i | ||||
\(186\) | −13.5108 | − | 11.2607i | −0.990660 | − | 0.825673i | ||||
\(187\) | 29.6497 | + | 7.94461i | 2.16820 | + | 0.580968i | ||||
\(188\) | −0.613206 | − | 11.7857i | −0.0447227 | − | 0.859560i | ||||
\(189\) | −9.55063 | + | 9.88866i | −0.694706 | + | 0.719294i | ||||
\(190\) | 0.677102 | − | 0.713247i | 0.0491221 | − | 0.0517444i | ||||
\(191\) | −5.18582 | − | 8.98210i | −0.375233 | − | 0.649922i | 0.615129 | − | 0.788426i | \(-0.289104\pi\) |
−0.990362 | + | 0.138504i | \(0.955770\pi\) | |||||||
\(192\) | 3.03123 | + | 13.5208i | 0.218760 | + | 0.975779i | ||||
\(193\) | −1.28842 | + | 2.23161i | −0.0927427 | + | 0.160635i | −0.908664 | − | 0.417528i | \(-0.862897\pi\) |
0.815922 | + | 0.578163i | \(0.196230\pi\) | |||||||
\(194\) | 1.66956 | + | 0.401158i | 0.119867 | + | 0.0288015i | ||||
\(195\) | −2.98884 | + | 1.99339i | −0.214035 | + | 0.142749i | ||||
\(196\) | 10.2781 | − | 9.50584i | 0.734149 | − | 0.678989i | ||||
\(197\) | −2.81762 | + | 2.81762i | −0.200747 | + | 0.200747i | −0.800320 | − | 0.599573i | \(-0.795337\pi\) |
0.599573 | + | 0.800320i | \(0.295337\pi\) | |||||||
\(198\) | −22.0519 | + | 3.44978i | −1.56716 | + | 0.245165i | ||||
\(199\) | 4.53162 | − | 7.84900i | 0.321238 | − | 0.556401i | −0.659506 | − | 0.751700i | \(-0.729234\pi\) |
0.980744 | + | 0.195299i | \(0.0625677\pi\) | |||||||
\(200\) | 4.13804 | + | 11.7065i | 0.292603 | + | 0.827774i | ||||
\(201\) | −5.92861 | + | 2.00684i | −0.418172 | + | 0.141552i | ||||
\(202\) | −0.241601 | − | 9.29331i | −0.0169990 | − | 0.653875i | ||||
\(203\) | −8.56572 | − | 1.52685i | −0.601195 | − | 0.107164i | ||||
\(204\) | 12.0733 | + | 16.2098i | 0.845302 | + | 1.13491i | ||||
\(205\) | 3.37302 | + | 0.903798i | 0.235582 | + | 0.0631240i | ||||
\(206\) | −2.55663 | − | 8.63703i | −0.178129 | − | 0.601770i | ||||
\(207\) | −6.35466 | + | 4.85887i | −0.441679 | + | 0.337715i | ||||
\(208\) | 10.4894 | + | 1.66947i | 0.727312 | + | 0.115757i | ||||
\(209\) | − | 4.68356i | − | 0.323969i | ||||||
\(210\) | −4.98411 | + | 0.886312i | −0.343936 | + | 0.0611614i | ||||
\(211\) | −5.89696 | − | 5.89696i | −0.405964 | − | 0.405964i | 0.474365 | − | 0.880328i | \(-0.342678\pi\) |
−0.880328 | + | 0.474365i | \(0.842678\pi\) | |||||||
\(212\) | 3.87036 | − | 18.1749i | 0.265818 | − | 1.24826i | ||||
\(213\) | 0.141084 | + | 2.18109i | 0.00966692 | + | 0.149446i | ||||
\(214\) | 12.6530 | − | 23.2935i | 0.864945 | − | 1.59231i | ||||
\(215\) | 7.06395 | − | 4.07837i | 0.481757 | − | 0.278143i | ||||
\(216\) | −12.8005 | − | 7.22133i | −0.870963 | − | 0.491349i | ||||
\(217\) | −18.9282 | + | 1.62043i | −1.28493 | + | 0.110002i | ||||
\(218\) | 0.538172 | + | 20.7011i | 0.0364496 | + | 1.40205i | ||||
\(219\) | −6.89512 | − | 3.40763i | −0.465929 | − | 0.230266i | ||||
\(220\) | −7.32168 | − | 3.73406i | −0.493627 | − | 0.251750i | ||||
\(221\) | 14.9653 | − | 4.00994i | 1.00667 | − | 0.269737i | ||||
\(222\) | −3.10143 | + | 6.70911i | −0.208154 | + | 0.450286i | ||||
\(223\) | − | 26.6995i | − | 1.78793i | −0.448135 | − | 0.893966i | \(-0.647912\pi\) | ||
0.448135 | − | 0.893966i | \(-0.352088\pi\) | |||||||
\(224\) | 12.6001 | + | 8.07697i | 0.841880 | + | 0.539666i | ||||
\(225\) | −12.1584 | − | 5.06054i | −0.810560 | − | 0.337369i | ||||
\(226\) | −5.24247 | + | 21.8183i | −0.348724 | + | 1.45133i | ||||
\(227\) | 4.43947 | + | 16.5683i | 0.294658 | + | 1.09968i | 0.941489 | + | 0.337045i | \(0.109427\pi\) |
−0.646831 | + | 0.762634i | \(0.723906\pi\) | |||||||
\(228\) | 1.91224 | − | 2.41953i | 0.126641 | − | 0.160237i | ||||
\(229\) | 1.00246 | − | 3.74124i | 0.0662446 | − | 0.247228i | −0.924861 | − | 0.380305i | \(-0.875819\pi\) |
0.991106 | + | 0.133077i | \(0.0424857\pi\) | |||||||
\(230\) | −2.94461 | + | 0.0765519i | −0.194162 | + | 0.00504768i | ||||
\(231\) | −14.3084 | + | 19.4033i | −0.941423 | + | 1.27664i | ||||
\(232\) | −0.724541 | − | 9.27321i | −0.0475685 | − | 0.608816i | ||||
\(233\) | −4.71826 | − | 8.17227i | −0.309104 | − | 0.535383i | 0.669063 | − | 0.743206i | \(-0.266696\pi\) |
−0.978167 | + | 0.207823i | \(0.933362\pi\) | |||||||
\(234\) | −8.76858 | + | 7.07314i | −0.573220 | + | 0.462386i | ||||
\(235\) | 1.19298 | + | 4.45225i | 0.0778212 | + | 0.290433i | ||||
\(236\) | −3.92125 | − | 0.835032i | −0.255251 | − | 0.0543560i | ||||
\(237\) | −23.1204 | + | 15.4200i | −1.50183 | + | 1.00163i | ||||
\(238\) | 21.5849 | + | 3.27122i | 1.39914 | + | 0.212042i | ||||
\(239\) | −8.96265 | −0.579746 | −0.289873 | − | 0.957065i | \(-0.593613\pi\) | ||||
−0.289873 | + | 0.957065i | \(0.593613\pi\) | |||||||
\(240\) | −2.25781 | − | 4.91836i | −0.145741 | − | 0.317479i | ||||
\(241\) | 13.4509 | − | 23.2977i | 0.866452 | − | 1.50074i | 0.000852960 | − | 1.00000i | \(-0.499728\pi\) |
0.865599 | − | 0.500739i | \(-0.166938\pi\) | |||||||
\(242\) | −22.6149 | + | 6.69420i | −1.45374 | + | 0.430319i | ||||
\(243\) | 14.7825 | − | 4.94762i | 0.948295 | − | 0.317390i | ||||
\(244\) | 5.33866 | + | 4.81060i | 0.341773 | + | 0.307967i | ||||
\(245\) | −3.15295 | + | 4.46732i | −0.201435 | + | 0.285407i | ||||
\(246\) | 10.7902 | + | 1.86569i | 0.687959 | + | 0.118952i | ||||
\(247\) | −1.18198 | − | 2.04725i | −0.0752078 | − | 0.130264i | ||||
\(248\) | −6.76849 | − | 19.1480i | −0.429800 | − | 1.21590i | ||||
\(249\) | −10.7756 | + | 12.2660i | −0.682875 | + | 0.777328i | ||||
\(250\) | −5.41811 | − | 8.84530i | −0.342672 | − | 0.559426i | ||||
\(251\) | 8.65499 | + | 8.65499i | 0.546298 | + | 0.546298i | 0.925368 | − | 0.379070i | \(-0.123756\pi\) |
−0.379070 | + | 0.925368i | \(0.623756\pi\) | |||||||
\(252\) | −15.3138 | + | 4.18180i | −0.964679 | + | 0.263428i | ||||
\(253\) | −9.91929 | + | 9.91929i | −0.623620 | + | 0.623620i | ||||
\(254\) | 0.513155 | − | 2.13567i | 0.0321982 | − | 0.134004i | ||||
\(255\) | −5.93063 | − | 5.20999i | −0.371390 | − | 0.326263i | ||||
\(256\) | −4.96721 | + | 15.2094i | −0.310451 | + | 0.950589i | ||||
\(257\) | 4.68663 | − | 2.70583i | 0.292344 | − | 0.168785i | −0.346654 | − | 0.937993i | \(-0.612682\pi\) |
0.638999 | + | 0.769208i | \(0.279349\pi\) | |||||||
\(258\) | 20.9036 | − | 14.7405i | 1.30140 | − | 0.917704i | ||||
\(259\) | 2.71652 | + | 7.50711i | 0.168796 | + | 0.466469i | ||||
\(260\) | −4.14277 | + | 0.215547i | −0.256924 | + | 0.0133677i | ||||
\(261\) | 7.81671 | + | 6.01923i | 0.483842 | + | 0.372581i | ||||
\(262\) | −11.5010 | − | 6.24734i | −0.710534 | − | 0.385962i | ||||
\(263\) | −8.16518 | − | 4.71417i | −0.503487 | − | 0.290688i | 0.226666 | − | 0.973973i | \(-0.427218\pi\) |
−0.730152 | + | 0.683284i | \(0.760551\pi\) | |||||||
\(264\) | −23.9246 | − | 9.58437i | −1.47246 | − | 0.589877i | ||||
\(265\) | 7.25766i | 0.445835i | ||||||||
\(266\) | −0.370288 | − | 3.31040i | −0.0227038 | − | 0.202974i | ||||
\(267\) | −15.2146 | − | 22.8125i | −0.931121 | − | 1.39610i | ||||
\(268\) | −7.06884 | − | 1.50531i | −0.431798 | − | 0.0919517i | ||||
\(269\) | 22.4971 | − | 6.02807i | 1.37167 | − | 0.367538i | 0.503582 | − | 0.863948i | \(-0.332015\pi\) |
0.868088 | + | 0.496410i | \(0.165349\pi\) | |||||||
\(270\) | 5.47722 | + | 1.71727i | 0.333333 | + | 0.104509i | ||||
\(271\) | −4.20629 | + | 2.42850i | −0.255514 | + | 0.147521i | −0.622286 | − | 0.782790i | \(-0.713796\pi\) |
0.366772 | + | 0.930311i | \(0.380463\pi\) | |||||||
\(272\) | 2.42206 | + | 23.2127i | 0.146859 | + | 1.40748i | ||||
\(273\) | −1.35763 | + | 12.0924i | −0.0821676 | + | 0.731868i | ||||
\(274\) | 8.94922 | − | 9.42695i | 0.540642 | − | 0.569503i | ||||
\(275\) | −22.3075 | − | 5.97729i | −1.34519 | − | 0.360444i | ||||
\(276\) | −9.17421 | + | 1.07438i | −0.552222 | + | 0.0646702i | ||||
\(277\) | 1.55735 | − | 0.417290i | 0.0935719 | − | 0.0250725i | −0.211729 | − | 0.977328i | \(-0.567910\pi\) |
0.305301 | + | 0.952256i | \(0.401243\pi\) | |||||||
\(278\) | −7.50518 | + | 4.59724i | −0.450131 | + | 0.275724i | ||||
\(279\) | 19.8872 | + | 8.27741i | 1.19062 | + | 0.495556i | ||||
\(280\) | −5.47027 | − | 2.06042i | −0.326911 | − | 0.123134i | ||||
\(281\) | −10.0515 | −0.599621 | −0.299811 | − | 0.953999i | \(-0.596923\pi\) | ||||
−0.299811 | + | 0.953999i | \(0.596923\pi\) | |||||||
\(282\) | 4.98862 | + | 13.5658i | 0.297068 | + | 0.807832i | ||||
\(283\) | −2.21053 | − | 8.24980i | −0.131402 | − | 0.490399i | 0.868585 | − | 0.495541i | \(-0.165030\pi\) |
−0.999987 | + | 0.00514138i | \(0.998363\pi\) | |||||||
\(284\) | −1.14661 | + | 2.24826i | −0.0680391 | + | 0.133410i | ||||
\(285\) | −0.533653 | + | 1.07981i | −0.0316109 | + | 0.0639626i | ||||
\(286\) | −13.6018 | + | 14.3279i | −0.804293 | + | 0.847228i | ||||
\(287\) | 9.70133 | − | 6.76601i | 0.572651 | − | 0.399385i | ||||
\(288\) | −8.44628 | − | 14.7194i | −0.497702 | − | 0.867348i | ||||
\(289\) | 8.52173 | + | 14.7601i | 0.501278 | + | 0.868240i | ||||
\(290\) | 1.03112 | + | 3.48343i | 0.0605497 | + | 0.204554i | ||||
\(291\) | −2.09859 | + | 0.135748i | −0.123022 | + | 0.00795768i | ||||
\(292\) | −4.83415 | − | 7.45009i | −0.282897 | − | 0.435984i | ||||
\(293\) | 11.2904 | − | 11.2904i | 0.659594 | − | 0.659594i | −0.295690 | − | 0.955284i | \(-0.595549\pi\) |
0.955284 | + | 0.295690i | \(0.0955495\pi\) | |||||||
\(294\) | −8.57931 | + | 14.8457i | −0.500355 | + | 0.865820i | ||||
\(295\) | 1.56584 | 0.0911669 | ||||||||
\(296\) | −7.03641 | + | 4.83014i | −0.408983 | + | 0.280746i | ||||
\(297\) | 24.5482 | − | 12.0277i | 1.42443 | − | 0.697917i | ||||
\(298\) | 17.5947 | + | 9.55743i | 1.01923 | + | 0.553647i | ||||
\(299\) | −1.83255 | + | 6.83918i | −0.105979 | + | 0.395520i | ||||
\(300\) | −9.08361 | − | 12.1957i | −0.524442 | − | 0.704121i | ||||
\(301\) | 4.84821 | − | 27.1988i | 0.279446 | − | 1.56771i | ||||
\(302\) | 8.42127 | − | 8.87081i | 0.484589 | − | 0.510458i | ||||
\(303\) | 3.65062 | + | 10.7847i | 0.209723 | + | 0.619563i | ||||
\(304\) | 3.32548 | − | 1.27366i | 0.190729 | − | 0.0730492i | ||||
\(305\) | −2.43070 | − | 1.40336i | −0.139181 | − | 0.0803564i | ||||
\(306\) | −19.9991 | − | 14.5883i | −1.14327 | − | 0.833956i | ||||
\(307\) | −5.34075 | − | 5.34075i | −0.304813 | − | 0.304813i | 0.538081 | − | 0.842893i | \(-0.319150\pi\) |
−0.842893 | + | 0.538081i | \(0.819150\pi\) | |||||||
\(308\) | −25.6494 | + | 10.8197i | −1.46151 | + | 0.616510i | ||||
\(309\) | 6.12113 | + | 9.17789i | 0.348219 | + | 0.522112i | ||||
\(310\) | 4.14320 | + | 6.76395i | 0.235318 | + | 0.384167i | ||||
\(311\) | 24.0537 | + | 13.8874i | 1.36396 | + | 0.787483i | 0.990149 | − | 0.140021i | \(-0.0447171\pi\) |
0.373812 | + | 0.927504i | \(0.378050\pi\) | |||||||
\(312\) | −12.8766 | + | 1.84835i | −0.728994 | + | 0.104642i | ||||
\(313\) | −13.9319 | + | 8.04359i | −0.787478 | + | 0.454650i | −0.839074 | − | 0.544018i | \(-0.816902\pi\) |
0.0515962 | + | 0.998668i | \(0.483569\pi\) | |||||||
\(314\) | −0.0990353 | − | 3.80945i | −0.00558889 | − | 0.214980i | ||||
\(315\) | 5.50969 | − | 2.84318i | 0.310436 | − | 0.160195i | ||||
\(316\) | −32.0467 | + | 1.66738i | −1.80277 | + | 0.0937975i | ||||
\(317\) | −2.76754 | + | 10.3286i | −0.155440 | + | 0.580111i | 0.843627 | + | 0.536930i | \(0.180416\pi\) |
−0.999067 | + | 0.0431814i | \(0.986251\pi\) | |||||||
\(318\) | 2.05882 | + | 22.6655i | 0.115453 | + | 1.27102i | ||||
\(319\) | 14.9829 | + | 8.65040i | 0.838883 | + | 0.484330i | ||||
\(320\) | 0.660232 | − | 6.21407i | 0.0369081 | − | 0.347377i | ||||
\(321\) | −6.36099 | + | 31.8366i | −0.355036 | + | 1.77695i | ||||
\(322\) | −6.22685 | + | 7.79531i | −0.347009 | + | 0.434416i | ||||
\(323\) | 3.67298 | − | 3.67298i | 0.204370 | − | 0.204370i | ||||
\(324\) | 17.5923 | + | 3.80921i | 0.977351 | + | 0.211623i | ||||
\(325\) | −11.2594 | + | 3.01695i | −0.624561 | + | 0.167350i | ||||
\(326\) | 1.54842 | − | 2.85055i | 0.0857589 | − | 0.157877i | ||||
\(327\) | −8.13185 | − | 24.0231i | −0.449692 | − | 1.32848i | ||||
\(328\) | 9.61019 | + | 8.21728i | 0.530634 | + | 0.453724i | ||||
\(329\) | 14.1370 | + | 6.62433i | 0.779399 | + | 0.365211i | ||||
\(330\) | 9.91887 | + | 1.71503i | 0.546016 | + | 0.0944092i | ||||
\(331\) | −26.8314 | − | 7.18946i | −1.47479 | − | 0.395168i | −0.570218 | − | 0.821493i | \(-0.693141\pi\) |
−0.904570 | + | 0.426325i | \(0.859808\pi\) | |||||||
\(332\) | −17.9322 | + | 5.81905i | −0.984157 | + | 0.319362i | ||||
\(333\) | 1.19692 | − | 8.97295i | 0.0655908 | − | 0.491715i | ||||
\(334\) | −6.38691 | + | 26.5813i | −0.349476 | + | 1.45447i | ||||
\(335\) | 2.82275 | 0.154223 | ||||||||
\(336\) | −17.6680 | − | 4.88285i | −0.963868 | − | 0.266381i | ||||
\(337\) | −23.9919 | −1.30692 | −0.653461 | − | 0.756961i | \(-0.726683\pi\) | ||||
−0.653461 | + | 0.756961i | \(0.726683\pi\) | |||||||
\(338\) | 1.96557 | − | 8.18038i | 0.106913 | − | 0.444954i | ||||
\(339\) | −1.77400 | − | 27.4251i | −0.0963503 | − | 1.48953i | ||||
\(340\) | −2.81351 | − | 8.67022i | −0.152584 | − | 0.470209i | ||||
\(341\) | 36.4879 | + | 9.77691i | 1.97593 | + | 0.529449i | ||||
\(342\) | −1.36026 | + | 3.52361i | −0.0735547 | + | 0.190535i | ||||
\(343\) | 4.69322 | + | 17.9157i | 0.253410 | + | 0.967359i | ||||
\(344\) | 29.4454 | − | 2.30065i | 1.58759 | − | 0.124042i | ||||
\(345\) | 3.41715 | − | 1.15671i | 0.183973 | − | 0.0622751i | ||||
\(346\) | 14.8206 | − | 27.2838i | 0.796758 | − | 1.46679i | ||||
\(347\) | 25.5784 | − | 6.85371i | 1.37312 | − | 0.367927i | 0.504503 | − | 0.863410i | \(-0.331676\pi\) |
0.868618 | + | 0.495483i | \(0.165009\pi\) | |||||||
\(348\) | 4.20833 | + | 10.5861i | 0.225590 | + | 0.567476i | ||||
\(349\) | −12.4422 | + | 12.4422i | −0.666017 | + | 0.666017i | −0.956792 | − | 0.290775i | \(-0.906087\pi\) |
0.290775 | + | 0.956792i | \(0.406087\pi\) | |||||||
\(350\) | −16.2398 | − | 2.46117i | −0.868055 | − | 0.131555i | ||||
\(351\) | 7.69497 | − | 11.4527i | 0.410727 | − | 0.611298i | ||||
\(352\) | −18.0945 | − | 23.6273i | −0.964443 | − | 1.25934i | ||||
\(353\) | 16.8372 | + | 9.72097i | 0.896154 | + | 0.517395i | 0.875951 | − | 0.482401i | \(-0.160235\pi\) |
0.0202039 | + | 0.999796i | \(0.493568\pi\) | |||||||
\(354\) | 4.89008 | − | 0.444191i | 0.259905 | − | 0.0236085i | ||||
\(355\) | 0.255117 | − | 0.952110i | 0.0135402 | − | 0.0505327i | ||||
\(356\) | −1.64518 | − | 31.6200i | −0.0871943 | − | 1.67585i | ||||
\(357\) | −26.4376 | + | 3.99556i | −1.39923 | + | 0.211467i | ||||
\(358\) | −0.0545848 | − | 2.09963i | −0.00288490 | − | 0.110969i | ||||
\(359\) | 16.1363 | − | 9.31629i | 0.851640 | − | 0.491695i | −0.00956358 | − | 0.999954i | \(-0.503044\pi\) |
0.861204 | + | 0.508259i | \(0.169711\pi\) | |||||||
\(360\) | 4.42386 | + | 4.93572i | 0.233158 | + | 0.260135i | ||||
\(361\) | 15.7681 | + | 9.10372i | 0.829900 | + | 0.479143i | ||||
\(362\) | −15.7555 | − | 25.7215i | −0.828090 | − | 1.35189i | ||||
\(363\) | 24.0311 | − | 16.0273i | 1.26130 | − | 0.841217i | ||||
\(364\) | −8.48117 | + | 11.2025i | −0.444534 | + | 0.587172i | ||||
\(365\) | 2.45269 | + | 2.45269i | 0.128380 | + | 0.128380i | ||||
\(366\) | −7.98909 | − | 3.69313i | −0.417596 | − | 0.193043i | ||||
\(367\) | −19.7783 | − | 11.4190i | −1.03242 | − | 0.596068i | −0.114743 | − | 0.993395i | \(-0.536605\pi\) |
−0.917677 | + | 0.397327i | \(0.869938\pi\) | |||||||
\(368\) | −9.74047 | − | 4.34554i | −0.507757 | − | 0.226527i | ||||
\(369\) | −13.2996 | + | 1.72780i | −0.692349 | + | 0.0899458i | ||||
\(370\) | 2.29499 | − | 2.41750i | 0.119311 | − | 0.125680i | ||||
\(371\) | 18.8016 | + | 15.8363i | 0.976131 | + | 0.822179i | ||||
\(372\) | 14.8579 | + | 19.9483i | 0.770344 | + | 1.03427i | ||||
\(373\) | 4.60599 | − | 17.1898i | 0.238489 | − | 0.890053i | −0.738056 | − | 0.674740i | \(-0.764256\pi\) |
0.976545 | − | 0.215314i | \(-0.0690774\pi\) | |||||||
\(374\) | −38.1457 | − | 20.7207i | −1.97247 | − | 1.07144i | ||||
\(375\) | 9.54425 | + | 8.38452i | 0.492863 | + | 0.432975i | ||||
\(376\) | −3.05080 | + | 16.4088i | −0.157333 | + | 0.846221i | ||||
\(377\) | 8.73235 | 0.449739 | ||||||||
\(378\) | 16.4001 | − | 10.4421i | 0.843528 | − | 0.537085i | ||||
\(379\) | 16.6607 | − | 16.6607i | 0.855805 | − | 0.855805i | −0.135036 | − | 0.990841i | \(-0.543115\pi\) |
0.990841 | + | 0.135036i | \(0.0431150\pi\) | |||||||
\(380\) | −1.16672 | + | 0.757054i | −0.0598517 | + | 0.0388361i | ||||
\(381\) | 0.173646 | + | 2.68449i | 0.00889617 | + | 0.137530i | ||||
\(382\) | 4.16320 | + | 14.0645i | 0.213008 | + | 0.719601i | ||||
\(383\) | 13.0339 | + | 22.5753i | 0.666000 | + | 1.15355i | 0.979013 | + | 0.203797i | \(0.0653283\pi\) |
−0.313013 | + | 0.949749i | \(0.601338\pi\) | |||||||
\(384\) | 0.299105 | − | 19.5936i | 0.0152636 | − | 0.999884i | ||||
\(385\) | 8.91790 | − | 6.21963i | 0.454498 | − | 0.316982i | ||||
\(386\) | 2.50901 | − | 2.64294i | 0.127705 | − | 0.134522i | ||||
\(387\) | −19.1129 | + | 24.8205i | −0.971566 | + | 1.26170i | ||||
\(388\) | −2.16323 | − | 1.10325i | −0.109821 | − | 0.0560088i | ||||
\(389\) | −2.73878 | − | 10.2212i | −0.138861 | − | 0.518238i | −0.999952 | − | 0.00978648i | \(-0.996885\pi\) |
0.861091 | − | 0.508451i | \(-0.169782\pi\) | |||||||
\(390\) | 4.76850 | − | 1.75354i | 0.241462 | − | 0.0887941i | ||||
\(391\) | −15.5580 | −0.786800 | ||||||||
\(392\) | −17.2739 | + | 9.67537i | −0.872463 | + | 0.488680i | ||||
\(393\) | 15.7191 | + | 3.14069i | 0.792923 | + | 0.158427i | ||||
\(394\) | 4.80538 | − | 2.94350i | 0.242092 | − | 0.148291i | ||||
\(395\) | 12.1062 | − | 3.24384i | 0.609129 | − | 0.163215i | ||||
\(396\) | 31.4628 | + | 2.54224i | 1.58107 | + | 0.127752i | ||||
\(397\) | −14.0565 | − | 3.76642i | −0.705474 | − | 0.189031i | −0.111793 | − | 0.993732i | \(-0.535659\pi\) |
−0.593681 | + | 0.804700i | \(0.702326\pi\) | |||||||
\(398\) | −8.82464 | + | 9.29572i | −0.442339 | + | 0.465953i | ||||
\(399\) | 1.63292 | + | 3.73864i | 0.0817481 | + | 0.187166i | ||||
\(400\) | −1.82228 | − | 17.4645i | −0.0911141 | − | 0.873226i | ||||
\(401\) | −2.81760 | + | 1.62674i | −0.140704 | + | 0.0812358i | −0.568700 | − | 0.822545i | \(-0.692553\pi\) |
0.427995 | + | 0.903781i | \(0.359220\pi\) | |||||||
\(402\) | 8.81536 | − | 0.800745i | 0.439670 | − | 0.0399375i | ||||
\(403\) | 18.4168 | − | 4.93476i | 0.917405 | − | 0.245818i | ||||
\(404\) | −2.73830 | + | 12.8588i | −0.136235 | + | 0.639751i | ||||
\(405\) | −7.03013 | − | 0.0240346i | −0.349330 | − | 0.00119429i | ||||
\(406\) | 11.2740 | + | 4.92965i | 0.559521 | + | 0.244654i | ||||
\(407\) | − | 15.8746i | − | 0.786876i | ||||||
\(408\) | −11.2460 | − | 26.2787i | −0.556762 | − | 1.30099i | ||||
\(409\) | 7.49505 | + | 4.32727i | 0.370606 | + | 0.213970i | 0.673723 | − | 0.738984i | \(-0.264694\pi\) |
−0.303117 | + | 0.952953i | \(0.598027\pi\) | |||||||
\(410\) | −4.33954 | − | 2.35724i | −0.214315 | − | 0.116416i | ||||
\(411\) | −7.05326 | + | 14.2718i | −0.347912 | + | 0.703978i | ||||
\(412\) | 0.661885 | + | 12.7213i | 0.0326087 | + | 0.626733i | ||||
\(413\) | 3.41668 | − | 4.05645i | 0.168124 | − | 0.199605i | ||||
\(414\) | 10.3435 | − | 4.58173i | 0.508356 | − | 0.225180i | ||||
\(415\) | 6.37673 | − | 3.68161i | 0.313021 | − | 0.180723i | ||||
\(416\) | −13.8722 | − | 5.76137i | −0.680140 | − | 0.282474i | ||||
\(417\) | 7.11422 | − | 8.09824i | 0.348385 | − | 0.396572i | ||||
\(418\) | −1.54745 | + | 6.44026i | −0.0756884 | + | 0.315003i | ||||
\(419\) | −14.2915 | + | 14.2915i | −0.698188 | + | 0.698188i | −0.964019 | − | 0.265832i | \(-0.914353\pi\) |
0.265832 | + | 0.964019i | \(0.414353\pi\) | |||||||
\(420\) | 7.14637 | + | 0.428008i | 0.348707 | + | 0.0208846i | ||||
\(421\) | 8.62897 | + | 8.62897i | 0.420550 | + | 0.420550i | 0.885393 | − | 0.464843i | \(-0.153889\pi\) |
−0.464843 | + | 0.885393i | \(0.653889\pi\) | |||||||
\(422\) | 6.16041 | + | 10.0571i | 0.299884 | + | 0.489574i | ||||
\(423\) | −10.7525 | − | 14.0627i | −0.522806 | − | 0.683752i | ||||
\(424\) | −11.3271 | + | 23.7131i | −0.550090 | + | 1.15161i | ||||
\(425\) | −12.8066 | − | 22.1817i | −0.621213 | − | 1.07597i | ||||
\(426\) | 0.526632 | − | 3.04578i | 0.0255154 | − | 0.147569i | ||||
\(427\) | −8.93934 | + | 3.23478i | −0.432605 | + | 0.156542i | ||||
\(428\) | −25.0951 | + | 27.8498i | −1.21302 | + | 1.34617i | ||||
\(429\) | 10.7202 | − | 21.6916i | 0.517575 | − | 1.04728i | ||||
\(430\) | −11.0610 | + | 3.27414i | −0.533407 | + | 0.157893i | ||||
\(431\) | −3.88398 | + | 6.72725i | −0.187085 | + | 0.324040i | −0.944277 | − | 0.329152i | \(-0.893237\pi\) |
0.757192 | + | 0.653192i | \(0.226571\pi\) | |||||||
\(432\) | 15.2157 | + | 14.1592i | 0.732066 | + | 0.681234i | ||||
\(433\) | 6.45634 | 0.310272 | 0.155136 | − | 0.987893i | \(-0.450418\pi\) | ||||
0.155136 | + | 0.987893i | \(0.450418\pi\) | |||||||
\(434\) | 26.5631 | + | 4.02567i | 1.27507 | + | 0.193238i | ||||
\(435\) | −2.46873 | − | 3.70156i | −0.118367 | − | 0.177476i | ||||
\(436\) | 6.09963 | − | 28.6434i | 0.292119 | − | 1.37177i | ||||
\(437\) | 0.614397 | + | 2.29296i | 0.0293906 | + | 0.109687i | ||||
\(438\) | 8.35544 | + | 6.96390i | 0.399238 | + | 0.332748i | ||||
\(439\) | 14.0248 | + | 24.2917i | 0.669368 | + | 1.15938i | 0.978081 | + | 0.208224i | \(0.0667682\pi\) |
−0.308713 | + | 0.951155i | \(0.599898\pi\) | |||||||
\(440\) | 8.83413 | + | 7.55370i | 0.421151 | + | 0.360109i | ||||
\(441\) | 4.65669 | − | 20.4772i | 0.221747 | − | 0.975104i | ||||
\(442\) | −21.9033 | + | 0.569426i | −1.04183 | + | 0.0270848i | ||||
\(443\) | 0.228326 | − | 0.852124i | 0.0108481 | − | 0.0404856i | −0.960290 | − | 0.279005i | \(-0.909995\pi\) |
0.971138 | + | 0.238519i | \(0.0766621\pi\) | |||||||
\(444\) | 6.48140 | − | 8.20082i | 0.307594 | − | 0.389194i | ||||
\(445\) | 3.20065 | + | 11.9450i | 0.151725 | + | 0.566247i | ||||
\(446\) | −8.82154 | + | 36.7139i | −0.417712 | + | 1.73845i | ||||
\(447\) | −24.0477 | − | 4.80475i | −1.13742 | − | 0.227257i | ||||
\(448\) | −14.6575 | − | 15.2695i | −0.692500 | − | 0.721418i | ||||
\(449\) | − | 0.897513i | − | 0.0423563i | −0.999776 | − | 0.0211781i | \(-0.993258\pi\) | ||
0.999776 | − | 0.0211781i | \(-0.00674171\pi\) | |||||||
\(450\) | 15.0467 | + | 10.9758i | 0.709310 | + | 0.517403i | ||||
\(451\) | −22.7172 | + | 6.08706i | −1.06971 | + | 0.286628i | ||||
\(452\) | 14.4176 | − | 28.2698i | 0.678146 | − | 1.32970i | ||||
\(453\) | −6.63716 | + | 13.4299i | −0.311841 | + | 0.630991i | ||||
\(454\) | −0.630422 | − | 24.2495i | −0.0295872 | − | 1.13809i | ||||
\(455\) | 2.32851 | − | 4.96929i | 0.109162 | − | 0.232964i | ||||
\(456\) | −3.42889 | + | 2.69523i | −0.160572 | + | 0.126216i | ||||
\(457\) | 4.51144 | − | 2.60468i | 0.211036 | − | 0.121842i | −0.390757 | − | 0.920494i | \(-0.627787\pi\) |
0.601793 | + | 0.798652i | \(0.294453\pi\) | |||||||
\(458\) | −2.61457 | + | 4.81328i | −0.122171 | + | 0.224910i | ||||
\(459\) | 28.6838 | + | 9.81894i | 1.33885 | + | 0.458309i | ||||
\(460\) | 4.07436 | + | 0.867637i | 0.189968 | + | 0.0404538i | ||||
\(461\) | −11.8421 | − | 11.8421i | −0.551540 | − | 0.551540i | 0.375345 | − | 0.926885i | \(-0.377524\pi\) |
−0.926885 | + | 0.375345i | \(0.877524\pi\) | |||||||
\(462\) | 26.0860 | − | 21.9535i | 1.21363 | − | 1.02137i | ||||
\(463\) | 13.2191i | 0.614344i | 0.951654 | + | 0.307172i | \(0.0993826\pi\) | ||||
−0.951654 | + | 0.307172i | \(0.900617\pi\) | |||||||
\(464\) | −2.06758 | + | 12.9908i | −0.0959849 | + | 0.603081i | ||||
\(465\) | −7.29843 | − | 6.41160i | −0.338457 | − | 0.297331i | ||||
\(466\) | 3.78785 | + | 12.7964i | 0.175469 | + | 0.592782i | ||||
\(467\) | −38.0314 | − | 10.1905i | −1.75988 | − | 0.471560i | −0.773194 | − | 0.634169i | \(-0.781342\pi\) |
−0.986690 | + | 0.162610i | \(0.948009\pi\) | |||||||
\(468\) | 14.3944 | − | 6.82897i | 0.665383 | − | 0.315669i | ||||
\(469\) | 6.15926 | − | 7.31258i | 0.284408 | − | 0.337664i | ||||
\(470\) | −0.169407 | − | 6.51634i | −0.00781417 | − | 0.300576i | ||||
\(471\) | 1.49644 | + | 4.42077i | 0.0689522 | + | 0.203698i | ||||
\(472\) | 5.11612 | + | 2.44382i | 0.235488 | + | 0.112486i | ||||
\(473\) | −27.4677 | + | 47.5755i | −1.26297 | + | 2.18752i | ||||
\(474\) | 36.8871 | − | 13.5647i | 1.69428 | − | 0.623045i | ||||
\(475\) | −2.76344 | + | 2.76344i | −0.126795 | + | 0.126795i | ||||
\(476\) | −28.6001 | − | 11.6298i | −1.31088 | − | 0.533053i | ||||
\(477\) | −10.6228 | − | 25.7701i | −0.486383 | − | 1.17993i | ||||
\(478\) | 12.3243 | + | 2.96127i | 0.563702 | + | 0.135445i | ||||
\(479\) | −13.8376 | + | 23.9674i | −0.632255 | + | 1.09510i | 0.354834 | + | 0.934929i | \(0.384537\pi\) |
−0.987090 | + | 0.160169i | \(0.948796\pi\) | |||||||
\(480\) | 1.47963 | + | 7.50910i | 0.0675355 | + | 0.342742i | ||||
\(481\) | −4.00625 | − | 6.93903i | −0.182669 | − | 0.316392i | ||||
\(482\) | −26.1937 | + | 27.5919i | −1.19309 | + | 1.25678i | ||||
\(483\) | 4.45969 | − | 11.3764i | 0.202923 | − | 0.517643i | ||||
\(484\) | 33.3090 | − | 1.73306i | 1.51404 | − | 0.0787753i | ||||
\(485\) | 0.916098 | + | 0.245468i | 0.0415979 | + | 0.0111461i | ||||
\(486\) | −21.9617 | + | 1.91922i | −0.996203 | + | 0.0870575i | ||||
\(487\) | 0.692794 | − | 1.19995i | 0.0313935 | − | 0.0543751i | −0.849902 | − | 0.526941i | \(-0.823339\pi\) |
0.881295 | + | 0.472566i | \(0.156672\pi\) | |||||||
\(488\) | −5.75164 | − | 8.37884i | −0.260365 | − | 0.379292i | ||||
\(489\) | −0.778427 | + | 3.89601i | −0.0352017 | + | 0.176184i | ||||
\(490\) | 5.81156 | − | 5.10117i | 0.262539 | − | 0.230447i | ||||
\(491\) | −13.8726 | − | 13.8726i | −0.626063 | − | 0.626063i | 0.321012 | − | 0.947075i | \(-0.395977\pi\) |
−0.947075 | + | 0.321012i | \(0.895977\pi\) | |||||||
\(492\) | −14.2210 | − | 6.13056i | −0.641130 | − | 0.276387i | ||||
\(493\) | 4.96615 | + | 18.5339i | 0.223664 | + | 0.834726i | ||||
\(494\) | 0.948902 | + | 3.20566i | 0.0426931 | + | 0.144229i | ||||
\(495\) | −12.2256 | + | 1.58827i | −0.549500 | + | 0.0713876i | ||||
\(496\) | 2.98067 | + | 28.5663i | 0.133836 | + | 1.28267i | ||||
\(497\) | −1.90986 | − | 2.73842i | −0.0856688 | − | 0.122835i | ||||
\(498\) | 18.8700 | − | 13.3065i | 0.845583 | − | 0.596277i | ||||
\(499\) | −0.888961 | + | 3.31765i | −0.0397954 | + | 0.148518i | −0.982965 | − | 0.183794i | \(-0.941162\pi\) |
0.943169 | + | 0.332312i | \(0.107829\pi\) | |||||||
\(500\) | 4.52783 | + | 13.9531i | 0.202491 | + | 0.624002i | ||||
\(501\) | −2.16127 | − | 33.4121i | −0.0965582 | − | 1.49274i | ||||
\(502\) | −9.04166 | − | 14.7609i | −0.403549 | − | 0.658811i | ||||
\(503\) | − | 35.2193i | − | 1.57035i | −0.619273 | − | 0.785176i | \(-0.712572\pi\) | ||
0.619273 | − | 0.785176i | \(-0.287428\pi\) | |||||||
\(504\) | 22.4393 | − | 0.690596i | 0.999527 | − | 0.0307616i | ||||
\(505\) | − | 5.13483i | − | 0.228497i | ||||||
\(506\) | 16.9171 | − | 10.3624i | 0.752058 | − | 0.460666i | ||||
\(507\) | 0.665128 | + | 10.2825i | 0.0295394 | + | 0.456664i | ||||
\(508\) | −1.41125 | + | 2.76716i | −0.0626143 | + | 0.122773i | ||||
\(509\) | 4.86113 | − | 18.1420i | 0.215466 | − | 0.804129i | −0.770536 | − | 0.637396i | \(-0.780012\pi\) |
0.986002 | − | 0.166733i | \(-0.0533217\pi\) | |||||||
\(510\) | 6.43368 | + | 9.12363i | 0.284888 | + | 0.404001i | ||||
\(511\) | 11.7057 | − | 1.00212i | 0.517829 | − | 0.0443311i | ||||
\(512\) | 11.8555 | − | 19.2730i | 0.523944 | − | 0.851752i | ||||
\(513\) | 0.314385 | − | 4.61523i | 0.0138804 | − | 0.203767i | ||||
\(514\) | −7.33849 | + | 2.17225i | −0.323687 | + | 0.0958140i | ||||
\(515\) | −1.28768 | − | 4.80569i | −0.0567420 | − | 0.211764i | ||||
\(516\) | −33.6143 | + | 13.3628i | −1.47979 | + | 0.588263i | ||||
\(517\) | −21.9511 | − | 21.9511i | −0.965409 | − | 0.965409i | ||||
\(518\) | −1.25506 | − | 11.2204i | −0.0551444 | − | 0.492996i | ||||
\(519\) | −7.45065 | + | 37.2904i | −0.327047 | + | 1.63687i | ||||
\(520\) | 5.76784 | + | 1.07238i | 0.252937 | + | 0.0470270i | ||||
\(521\) | −7.50479 | + | 12.9987i | −0.328791 | + | 0.569482i | −0.982272 | − | 0.187460i | \(-0.939974\pi\) |
0.653481 | + | 0.756943i | \(0.273308\pi\) | |||||||
\(522\) | −8.75982 | − | 10.8596i | −0.383407 | − | 0.475310i | ||||
\(523\) | −13.9931 | − | 3.74944i | −0.611876 | − | 0.163952i | −0.0604439 | − | 0.998172i | \(-0.519252\pi\) |
−0.551432 | + | 0.834220i | \(0.685918\pi\) | |||||||
\(524\) | 13.7506 | + | 12.3905i | 0.600699 | + | 0.541282i | ||||
\(525\) | 19.8909 | − | 3.00614i | 0.868109 | − | 0.131199i | ||||
\(526\) | 9.67018 | + | 9.18013i | 0.421640 | + | 0.400273i | ||||
\(527\) | 20.9475 | + | 36.2822i | 0.912488 | + | 1.58048i | ||||
\(528\) | 29.7315 | + | 21.0840i | 1.29390 | + | 0.917561i | ||||
\(529\) | −7.94498 | + | 13.7611i | −0.345434 | + | 0.598309i | ||||
\(530\) | 2.39794 | − | 9.97984i | 0.104160 | − | 0.433497i | ||||
\(531\) | −5.55991 | + | 2.29186i | −0.241280 | + | 0.0994585i | ||||
\(532\) | −0.584586 | + | 4.67440i | −0.0253450 | + | 0.202661i | ||||
\(533\) | −8.39384 | + | 8.39384i | −0.363578 | + | 0.363578i | ||||
\(534\) | 13.3840 | + | 36.3959i | 0.579184 | + | 1.57500i | ||||
\(535\) | 7.32083 | − | 12.6800i | 0.316507 | − | 0.548206i | ||||
\(536\) | 9.22284 | + | 4.40547i | 0.398366 | + | 0.190288i | ||||
\(537\) | 0.824784 | + | 2.43657i | 0.0355920 | + | 0.105146i | ||||
\(538\) | −32.9269 | + | 0.856009i | −1.41958 | + | 0.0369052i | ||||
\(539\) | 3.34645 | − | 36.6739i | 0.144142 | − | 1.57966i | ||||
\(540\) | −6.96421 | − | 4.17105i | −0.299692 | − | 0.179493i | ||||
\(541\) | 15.6520 | + | 4.19395i | 0.672933 | + | 0.180312i | 0.579076 | − | 0.815274i | \(-0.303414\pi\) |
0.0938574 | + | 0.995586i | \(0.470080\pi\) | |||||||
\(542\) | 6.58635 | − | 1.94962i | 0.282908 | − | 0.0837432i | ||||
\(543\) | 27.7540 | + | 24.3816i | 1.19104 | + | 1.04631i | ||||
\(544\) | 4.33898 | − | 32.7195i | 0.186032 | − | 1.40284i | ||||
\(545\) | 11.4380i | 0.489948i | ||||||||
\(546\) | 5.86220 | − | 16.1795i | 0.250879 | − | 0.692417i | ||||
\(547\) | −15.1724 | − | 15.1724i | −0.648727 | − | 0.648727i | 0.303959 | − | 0.952685i | \(-0.401692\pi\) |
−0.952685 | + | 0.303959i | \(0.901692\pi\) | |||||||
\(548\) | −15.4205 | + | 10.0059i | −0.658733 | + | 0.427433i | ||||
\(549\) | 10.6848 | + | 1.42527i | 0.456018 | + | 0.0608291i | ||||
\(550\) | 28.6997 | + | 15.5897i | 1.22376 | + | 0.664745i | ||||
\(551\) | 2.53545 | − | 1.46384i | 0.108014 | − | 0.0623617i | ||||
\(552\) | 12.9702 | + | 1.55381i | 0.552049 | + | 0.0661345i | ||||
\(553\) | 18.0123 | − | 38.4402i | 0.765963 | − | 1.63465i | ||||
\(554\) | −2.27934 | + | 0.0592568i | −0.0968401 | + | 0.00251758i | ||||
\(555\) | −1.80878 | + | 3.65995i | −0.0767784 | + | 0.155356i | ||||
\(556\) | 11.8391 | − | 3.84183i | 0.502091 | − | 0.162930i | ||||
\(557\) | 27.8755 | − | 7.46921i | 1.18112 | − | 0.316481i | 0.385751 | − | 0.922603i | \(-0.373942\pi\) |
0.795372 | + | 0.606122i | \(0.207276\pi\) | |||||||
\(558\) | −24.6116 | − | 17.9528i | −1.04189 | − | 0.760004i | ||||
\(559\) | 27.7279i | 1.17277i | ||||||||
\(560\) | 6.84128 | + | 4.64062i | 0.289097 | + | 0.196102i | ||||
\(561\) | 52.1359 | + | 10.4168i | 2.20118 | + | 0.439798i | ||||
\(562\) | 13.8216 | + | 3.32102i | 0.583027 | + | 0.140089i | ||||
\(563\) | −1.46912 | − | 5.48281i | −0.0619158 | − | 0.231073i | 0.928033 | − | 0.372497i | \(-0.121498\pi\) |
−0.989949 | + | 0.141424i | \(0.954832\pi\) | |||||||
\(564\) | −2.37758 | − | 20.3023i | −0.100114 | − | 0.854880i | ||||
\(565\) | −3.20785 | + | 11.9719i | −0.134955 | + | 0.503660i | ||||
\(566\) | 0.313903 | + | 12.0745i | 0.0131943 | + | 0.507527i | ||||
\(567\) | −15.4021 | + | 18.1597i | −0.646826 | + | 0.762637i | ||||
\(568\) | 2.31951 | − | 2.71269i | 0.0973245 | − | 0.113822i | ||||
\(569\) | 0.764734 | + | 1.32456i | 0.0320593 | + | 0.0555284i | 0.881610 | − | 0.471979i | \(-0.156460\pi\) |
−0.849551 | + | 0.527507i | \(0.823127\pi\) | |||||||
\(570\) | 1.09058 | − | 1.30851i | 0.0456796 | − | 0.0548073i | ||||
\(571\) | 6.67118 | + | 24.8972i | 0.279180 | + | 1.04192i | 0.952988 | + | 0.303008i | \(0.0979911\pi\) |
−0.673807 | + | 0.738907i | \(0.735342\pi\) | |||||||
\(572\) | 23.4375 | − | 15.2079i | 0.979971 | − | 0.635876i | ||||
\(573\) | −9.96760 | − | 14.9452i | −0.416403 | − | 0.624345i | ||||
\(574\) | −15.5756 | + | 6.09846i | −0.650111 | + | 0.254545i | ||||
\(575\) | 11.7053 | 0.488146 | ||||||||
\(576\) | 6.75098 | + | 23.0309i | 0.281291 | + | 0.959623i | ||||
\(577\) | −11.1059 | + | 19.2360i | −0.462344 | + | 0.800803i | −0.999077 | − | 0.0429487i | \(-0.986325\pi\) |
0.536733 | + | 0.843752i | \(0.319658\pi\) | |||||||
\(578\) | −6.84129 | − | 23.1118i | −0.284560 | − | 0.961325i | ||||
\(579\) | −1.97746 | + | 4.00126i | −0.0821802 | + | 0.166287i | ||||
\(580\) | −0.266947 | − | 5.13066i | −0.0110844 | − | 0.213039i | ||||
\(581\) | 4.37655 | − | 24.5528i | 0.181570 | − | 1.01862i | ||||
\(582\) | 2.93058 | + | 0.506714i | 0.121476 | + | 0.0210040i | ||||
\(583\) | −24.4401 | − | 42.3315i | −1.01220 | − | 1.75319i | ||||
\(584\) | 4.18581 | + | 11.8417i | 0.173210 | + | 0.490011i | ||||
\(585\) | −4.94316 | + | 3.77961i | −0.204374 | + | 0.156268i | ||||
\(586\) | −19.2556 | + | 11.7948i | −0.795441 | + | 0.487240i | ||||
\(587\) | 10.9206 | + | 10.9206i | 0.450740 | + | 0.450740i | 0.895600 | − | 0.444860i | \(-0.146747\pi\) |
−0.444860 | + | 0.895600i | \(0.646747\pi\) | |||||||
\(588\) | 16.7022 | − | 17.5794i | 0.688789 | − | 0.724962i | ||||
\(589\) | 4.52010 | − | 4.52010i | 0.186247 | − | 0.186247i | ||||
\(590\) | −2.15315 | − | 0.517356i | −0.0886440 | − | 0.0212992i | ||||
\(591\) | −4.55505 | + | 5.18510i | −0.187370 | + | 0.213286i | ||||
\(592\) | 11.2715 | − | 4.31697i | 0.463255 | − | 0.177426i | ||||
\(593\) | −33.2636 | + | 19.2048i | −1.36597 | + | 0.788645i | −0.990411 | − | 0.138151i | \(-0.955884\pi\) |
−0.375563 | + | 0.926797i | \(0.622551\pi\) | |||||||
\(594\) | −37.7296 | + | 8.42823i | −1.54806 | + | 0.345815i | ||||
\(595\) | 11.8713 | + | 2.11606i | 0.486675 | + | 0.0867502i | ||||
\(596\) | −21.0363 | − | 18.9555i | −0.861679 | − | 0.776448i | ||||
\(597\) | 6.95508 | − | 14.0732i | 0.284652 | − | 0.575976i | ||||
\(598\) | 4.77957 | − | 8.79891i | 0.195451 | − | 0.359814i | ||||
\(599\) | −39.5224 | − | 22.8183i | −1.61484 | − | 0.932330i | −0.988226 | − | 0.153001i | \(-0.951106\pi\) |
−0.626616 | − | 0.779328i | \(-0.715561\pi\) | |||||||
\(600\) | 8.46118 | + | 19.7713i | 0.345426 | + | 0.807160i | ||||
\(601\) | 20.8527i | 0.850599i | 0.905053 | + | 0.425300i | \(0.139831\pi\) | ||||
−0.905053 | + | 0.425300i | \(0.860169\pi\) | |||||||
\(602\) | −15.6532 | + | 35.7986i | −0.637976 | + | 1.45904i | ||||
\(603\) | −10.0229 | + | 4.13155i | −0.408163 | + | 0.168250i | ||||
\(604\) | −14.5108 | + | 9.41565i | −0.590436 | + | 0.383117i | ||||
\(605\) | −12.5830 | + | 3.37161i | −0.511573 | + | 0.137076i | ||||
\(606\) | −1.45662 | − | 16.0359i | −0.0591713 | − | 0.651414i | ||||
\(607\) | 19.5717 | − | 11.2997i | 0.794390 | − | 0.458641i | −0.0471158 | − | 0.998889i | \(-0.515003\pi\) |
0.841506 | + | 0.540248i | \(0.181670\pi\) | |||||||
\(608\) | −4.99361 | + | 0.652633i | −0.202517 | + | 0.0264678i | ||||
\(609\) | −14.9760 | − | 1.68138i | −0.606859 | − | 0.0681328i | ||||
\(610\) | 2.87872 | + | 2.73284i | 0.116556 | + | 0.110649i | ||||
\(611\) | −15.1349 | − | 4.05539i | −0.612293 | − | 0.164063i | ||||
\(612\) | 22.6803 | + | 26.6677i | 0.916798 | + | 1.07798i | ||||
\(613\) | −42.1602 | + | 11.2968i | −1.70283 | + | 0.456273i | −0.973650 | − | 0.228047i | \(-0.926766\pi\) |
−0.729182 | + | 0.684320i | \(0.760099\pi\) | |||||||
\(614\) | 5.57935 | + | 9.10853i | 0.225164 | + | 0.367590i | ||||
\(615\) | 5.93111 | + | 1.18504i | 0.239165 | + | 0.0477855i | ||||
\(616\) | 38.8447 | − | 6.40334i | 1.56510 | − | 0.257998i | ||||
\(617\) | 14.9563 | 0.602116 | 0.301058 | − | 0.953606i | \(-0.402660\pi\) | ||||
0.301058 | + | 0.953606i | \(0.402660\pi\) | |||||||
\(618\) | −5.38464 | − | 14.6427i | −0.216602 | − | 0.589017i | ||||
\(619\) | −6.01129 | − | 22.4344i | −0.241614 | − | 0.901716i | −0.975055 | − | 0.221963i | \(-0.928754\pi\) |
0.733441 | − | 0.679753i | \(-0.237913\pi\) | |||||||
\(620\) | −3.46240 | − | 10.6699i | −0.139053 | − | 0.428512i | ||||
\(621\) | −10.4404 | + | 9.10873i | −0.418959 | + | 0.365521i | ||||
\(622\) | −28.4873 | − | 27.0436i | −1.14224 | − | 1.08435i | ||||
\(623\) | 37.9284 | + | 17.7725i | 1.51957 | + | 0.712040i | ||||
\(624\) | 18.3170 | + | 1.71282i | 0.733267 | + | 0.0685675i | ||||
\(625\) | 8.10991 | + | 14.0468i | 0.324397 | + | 0.561871i | ||||
\(626\) | 21.8150 | − | 6.45744i | 0.871904 | − | 0.258091i | ||||
\(627\) | −0.523643 | − | 8.09525i | −0.0209123 | − | 0.323293i | ||||
\(628\) | −1.12246 | + | 5.27100i | −0.0447912 | + | 0.210336i | ||||
\(629\) | 12.4493 | − | 12.4493i | 0.496387 | − | 0.496387i | ||||
\(630\) | −8.51564 | + | 2.08918i | −0.339271 | + | 0.0832350i | ||||
\(631\) | 8.01029 | 0.318885 | 0.159442 | − | 0.987207i | \(-0.449030\pi\) | ||||
0.159442 | + | 0.987207i | \(0.449030\pi\) | |||||||
\(632\) | 44.6175 | + | 8.29547i | 1.77479 | + | 0.329976i | ||||
\(633\) | −10.8518 | − | 9.53323i | −0.431322 | − | 0.378912i | ||||
\(634\) | 7.21815 | − | 13.2882i | 0.286669 | − | 0.527742i | ||||
\(635\) | 0.313998 | − | 1.17186i | 0.0124606 | − | 0.0465037i | ||||
\(636\) | 4.65765 | − | 31.8470i | 0.184688 | − | 1.26281i | ||||
\(637\) | −7.79254 | − | 16.8752i | −0.308752 | − | 0.668621i | ||||
\(638\) | −17.7446 | − | 16.8453i | −0.702515 | − | 0.666913i | ||||
\(639\) | 0.487710 | + | 3.75411i | 0.0192935 | + | 0.148510i | ||||
\(640\) | −2.96100 | + | 8.32668i | −0.117044 | + | 0.329141i | ||||
\(641\) | −19.7846 | − | 11.4227i | −0.781445 | − | 0.451168i | 0.0554969 | − | 0.998459i | \(-0.482326\pi\) |
−0.836942 | + | 0.547291i | \(0.815659\pi\) | |||||||
\(642\) | 19.2657 | − | 41.6761i | 0.760356 | − | 1.64483i | ||||
\(643\) | 25.9448 | + | 25.9448i | 1.02316 | + | 1.02316i | 0.999725 | + | 0.0234396i | \(0.00746173\pi\) |
0.0234396 | + | 0.999725i | \(0.492538\pi\) | |||||||
\(644\) | 11.1380 | − | 8.66179i | 0.438898 | − | 0.341322i | ||||
\(645\) | 11.7536 | − | 7.83900i | 0.462799 | − | 0.308660i | ||||
\(646\) | −6.26419 | + | 3.83708i | −0.246461 | + | 0.150968i | ||||
\(647\) | 15.2965 | + | 8.83145i | 0.601368 | + | 0.347200i | 0.769580 | − | 0.638551i | \(-0.220466\pi\) |
−0.168211 | + | 0.985751i | \(0.553799\pi\) | |||||||
\(648\) | −22.9322 | − | 11.0505i | −0.900863 | − | 0.434104i | ||||
\(649\) | −9.13303 | + | 5.27296i | −0.358503 | + | 0.206982i | ||||
\(650\) | 16.4794 | − | 0.428419i | 0.646374 | − | 0.0168040i | ||||
\(651\) | −32.5350 | + | 4.91707i | −1.27515 | + | 0.192715i | ||||
\(652\) | −3.07102 | + | 3.40812i | −0.120270 | + | 0.133472i | ||||
\(653\) | −0.168923 | + | 0.630428i | −0.00661046 | + | 0.0246706i | −0.969152 | − | 0.246463i | \(-0.920732\pi\) |
0.962542 | + | 0.271133i | \(0.0873984\pi\) | |||||||
\(654\) | 3.24467 | + | 35.7204i | 0.126876 | + | 1.39678i | ||||
\(655\) | −6.26067 | − | 3.61460i | −0.244625 | − | 0.141234i | ||||
\(656\) | −10.4998 | − | 14.4746i | −0.409947 | − | 0.565139i | ||||
\(657\) | −12.2988 | − | 5.11897i | −0.479821 | − | 0.199710i | ||||
\(658\) | −17.2508 | − | 13.7798i | −0.672506 | − | 0.537194i | ||||
\(659\) | −9.00214 | + | 9.00214i | −0.350674 | + | 0.350674i | −0.860360 | − | 0.509687i | \(-0.829761\pi\) |
0.509687 | + | 0.860360i | \(0.329761\pi\) | |||||||
\(660\) | −13.0726 | − | 5.63550i | −0.508848 | − | 0.219361i | ||||
\(661\) | 30.3861 | − | 8.14194i | 1.18188 | − | 0.316685i | 0.386211 | − | 0.922411i | \(-0.373784\pi\) |
0.795673 | + | 0.605726i | \(0.207117\pi\) | |||||||
\(662\) | 34.5199 | + | 18.7512i | 1.34165 | + | 0.728785i | ||||
\(663\) | 25.4182 | − | 8.60411i | 0.987163 | − | 0.334156i | ||||
\(664\) | 26.5808 | − | 2.07683i | 1.03153 | − | 0.0805965i | ||||
\(665\) | −0.156937 | − | 1.83317i | −0.00608576 | − | 0.0710875i | ||||
\(666\) | −4.61053 | + | 11.9430i | −0.178654 | + | 0.462783i | ||||
\(667\) | −8.47006 | − | 2.26955i | −0.327962 | − | 0.0878772i | ||||
\(668\) | 17.5650 | − | 34.4411i | 0.679609 | − | 1.33257i | ||||
\(669\) | −2.98512 | − | 46.1485i | −0.115411 | − | 1.78420i | ||||
\(670\) | −3.88150 | − | 0.932639i | −0.149955 | − | 0.0360310i | ||||
\(671\) | 18.9032 | 0.729751 | ||||||||
\(672\) | 22.6815 | + | 12.5518i | 0.874959 | + | 0.484197i | ||||
\(673\) | −3.76513 | −0.145135 | −0.0725675 | − | 0.997364i | \(-0.523119\pi\) | ||||
−0.0725675 | + | 0.997364i | \(0.523119\pi\) | |||||||
\(674\) | 32.9907 | + | 7.92694i | 1.27075 | + | 0.305334i | ||||
\(675\) | −21.5808 | − | 7.38747i | −0.830647 | − | 0.284344i | ||||
\(676\) | −5.40561 | + | 10.5992i | −0.207908 | + | 0.407662i | ||||
\(677\) | 42.6400 | + | 11.4254i | 1.63879 | + | 0.439112i | 0.956443 | − | 0.291918i | \(-0.0942933\pi\) |
0.682346 | + | 0.731030i | \(0.260960\pi\) | |||||||
\(678\) | −6.62190 | + | 38.2978i | −0.254313 | + | 1.47082i | ||||
\(679\) | 2.63484 | − | 1.83762i | 0.101116 | − | 0.0705214i | ||||
\(680\) | 1.00415 | + | 12.8518i | 0.0385072 | + | 0.492844i | ||||
\(681\) | 9.52576 | + | 28.1410i | 0.365028 | + | 1.07837i | ||||
\(682\) | −46.9434 | − | 25.4996i | −1.79756 | − | 0.976432i | ||||
\(683\) | 20.1789 | − | 5.40692i | 0.772125 | − | 0.206890i | 0.148815 | − | 0.988865i | \(-0.452454\pi\) |
0.623310 | + | 0.781975i | \(0.285788\pi\) | |||||||
\(684\) | 3.03467 | − | 4.39580i | 0.116034 | − | 0.168078i | ||||
\(685\) | 5.07669 | − | 5.07669i | 0.193970 | − | 0.193970i | ||||
\(686\) | −0.534161 | − | 26.1862i | −0.0203944 | − | 0.999792i | ||||
\(687\) | 1.31441 | − | 6.57858i | 0.0501478 | − | 0.250989i | ||||
\(688\) | −41.2498 | − | 6.56521i | −1.57263 | − | 0.250296i | ||||
\(689\) | −21.3662 | − | 12.3358i | −0.813989 | − | 0.469957i | ||||
\(690\) | −5.08102 | + | 0.461535i | −0.193431 | + | 0.0175703i | ||||
\(691\) | −0.181851 | + | 0.678676i | −0.00691793 | + | 0.0258180i | −0.969299 | − | 0.245887i | \(-0.920921\pi\) |
0.962381 | + | 0.271705i | \(0.0875875\pi\) | |||||||
\(692\) | −29.3940 | + | 32.6206i | −1.11739 | + | 1.24005i | ||||
\(693\) | −22.5618 | + | 35.1371i | −0.857052 | + | 1.33475i | ||||
\(694\) | −37.4367 | + | 0.973254i | −1.42108 | + | 0.0369442i | ||||
\(695\) | −4.21002 | + | 2.43066i | −0.159695 | + | 0.0922001i | ||||
\(696\) | −2.28911 | − | 15.9472i | −0.0867685 | − | 0.604476i | ||||
\(697\) | −22.5891 | − | 13.0418i | −0.855623 | − | 0.493994i | ||||
\(698\) | 21.2199 | − | 12.9981i | 0.803186 | − | 0.491985i | ||||
\(699\) | −9.06892 | − | 13.5977i | −0.343018 | − | 0.514314i | ||||
\(700\) | 21.5178 | + | 8.74994i | 0.813297 | + | 0.330717i | ||||
\(701\) | 4.40327 | + | 4.40327i | 0.166309 | + | 0.166309i | 0.785355 | − | 0.619046i | \(-0.212480\pi\) |
−0.619046 | + | 0.785355i | \(0.712480\pi\) | |||||||
\(702\) | −14.3651 | + | 13.2059i | −0.542177 | + | 0.498423i | ||||
\(703\) | −2.32644 | − | 1.34317i | −0.0877433 | − | 0.0506586i | ||||
\(704\) | 17.0749 | + | 38.4679i | 0.643534 | + | 1.44981i | ||||
\(705\) | 2.55977 | + | 7.56206i | 0.0964064 | + | 0.284804i | ||||
\(706\) | −19.9406 | − | 18.9301i | −0.750476 | − | 0.712444i | ||||
\(707\) | −13.3022 | − | 11.2042i | −0.500282 | − | 0.421379i | ||||
\(708\) | −6.87099 | − | 1.00489i | −0.258228 | − | 0.0377661i | ||||
\(709\) | −7.88738 | + | 29.4361i | −0.296217 | + | 1.10550i | 0.644030 | + | 0.765001i | \(0.277261\pi\) |
−0.940246 | + | 0.340495i | \(0.889405\pi\) | |||||||
\(710\) | −0.665383 | + | 1.22493i | −0.0249714 | + | 0.0459709i | ||||
\(711\) | −38.2381 | + | 29.2374i | −1.43404 | + | 1.09649i | ||||
\(712\) | −8.18501 | + | 44.0234i | −0.306746 | + | 1.64985i | ||||
\(713\) | −19.1462 | −0.717029 | ||||||||
\(714\) | 37.6739 | + | 3.24081i | 1.40991 | + | 0.121284i | ||||
\(715\) | −7.71600 | + | 7.71600i | −0.288562 | + | 0.288562i | ||||
\(716\) | −0.618662 | + | 2.90519i | −0.0231205 | + | 0.108572i | ||||
\(717\) | −15.4914 | + | 1.00206i | −0.578537 | + | 0.0374227i | ||||
\(718\) | −25.2667 | + | 7.47917i | −0.942946 | + | 0.279120i | ||||
\(719\) | −15.0012 | − | 25.9829i | −0.559452 | − | 0.968999i | −0.997542 | − | 0.0700683i | \(-0.977678\pi\) |
0.438090 | − | 0.898931i | \(-0.355655\pi\) | |||||||
\(720\) | −4.45237 | − | 8.24864i | −0.165930 | − | 0.307409i | ||||
\(721\) | −15.2593 | − | 7.15020i | −0.568286 | − | 0.266287i | ||||
\(722\) | −18.6745 | − | 17.7281i | −0.694992 | − | 0.659772i | ||||
\(723\) | 20.6443 | − | 41.7726i | 0.767772 | − | 1.55354i | ||||
\(724\) | 13.1666 | + | 40.5747i | 0.489333 | + | 1.50795i | ||||
\(725\) | −3.73638 | − | 13.9444i | −0.138766 | − | 0.517881i | ||||
\(726\) | −38.3400 | + | 14.0989i | −1.42293 | + | 0.523261i | ||||
\(727\) | −19.2765 | −0.714926 | −0.357463 | − | 0.933927i | \(-0.616358\pi\) | ||||
−0.357463 | + | 0.933927i | \(0.616358\pi\) | |||||||
\(728\) | 15.3636 | − | 12.6022i | 0.569412 | − | 0.467067i | ||||
\(729\) | 24.9974 | − | 10.2044i | 0.925830 | − | 0.377941i | ||||
\(730\) | −2.56226 | − | 4.18300i | −0.0948337 | − | 0.154820i | ||||
\(731\) | −58.8510 | + | 15.7691i | −2.17668 | + | 0.583241i | ||||
\(732\) | 9.76540 | + | 7.71794i | 0.360939 | + | 0.285263i | ||||
\(733\) | −7.97924 | − | 2.13803i | −0.294720 | − | 0.0789700i | 0.108429 | − | 0.994104i | \(-0.465418\pi\) |
−0.403149 | + | 0.915134i | \(0.632085\pi\) | |||||||
\(734\) | 23.4239 | + | 22.2368i | 0.864590 | + | 0.820776i | ||||
\(735\) | −4.95022 | + | 8.07401i | −0.182592 | + | 0.297814i | ||||
\(736\) | 11.9581 | + | 9.19371i | 0.440782 | + | 0.338885i | ||||
\(737\) | −16.4641 | + | 9.50557i | −0.606464 | + | 0.350142i | ||||
\(738\) | 18.8588 | + | 2.01834i | 0.694203 | + | 0.0742960i | ||||
\(739\) | −2.34221 | + | 0.627593i | −0.0861595 | + | 0.0230864i | −0.301641 | − | 0.953421i | \(-0.597534\pi\) |
0.215482 | + | 0.976508i | \(0.430868\pi\) | |||||||
\(740\) | −3.95453 | + | 2.56598i | −0.145372 | + | 0.0943275i | ||||
\(741\) | −2.27188 | − | 3.40640i | −0.0834595 | − | 0.125137i | ||||
\(742\) | −20.6213 | − | 27.9882i | −0.757033 | − | 1.02748i | ||||
\(743\) | 46.1287i | 1.69230i | 0.532946 | + | 0.846149i | \(0.321085\pi\) | ||||
−0.532946 | + | 0.846149i | \(0.678915\pi\) | |||||||
\(744\) | −13.8398 | − | 32.3395i | −0.507390 | − | 1.18562i | ||||
\(745\) | 9.57782 | + | 5.52976i | 0.350904 | + | 0.202595i | ||||
\(746\) | −12.0131 | + | 22.1154i | −0.439831 | + | 0.809704i | ||||
\(747\) | −17.2535 | + | 22.4058i | −0.631274 | + | 0.819787i | ||||
\(748\) | 45.6071 | + | 41.0960i | 1.66756 | + | 1.50262i | ||||
\(749\) | −16.8747 | − | 46.6332i | −0.616587 | − | 1.70394i | ||||
\(750\) | −10.3538 | − | 14.6828i | −0.378068 | − | 0.536140i | ||||
\(751\) | −31.4473 | + | 18.1561i | −1.14753 | + | 0.662526i | −0.948284 | − | 0.317424i | \(-0.897182\pi\) |
−0.199245 | + | 0.979950i | \(0.563849\pi\) | |||||||
\(752\) | 9.61657 | − | 21.5554i | 0.350680 | − | 0.786045i | ||||
\(753\) | 15.9273 | + | 13.9920i | 0.580422 | + | 0.509895i | ||||
\(754\) | −12.0076 | − | 2.88517i | −0.437293 | − | 0.105072i | ||||
\(755\) | 4.77719 | − | 4.77719i | 0.173860 | − | 0.173860i | ||||
\(756\) | −26.0014 | + | 8.94013i | −0.945663 | + | 0.325149i | ||||
\(757\) | −4.85696 | − | 4.85696i | −0.176529 | − | 0.176529i | 0.613312 | − | 0.789841i | \(-0.289837\pi\) |
−0.789841 | + | 0.613312i | \(0.789837\pi\) | |||||||
\(758\) | −28.4145 | + | 17.4051i | −1.03206 | + | 0.632181i | ||||
\(759\) | −16.0359 | + | 18.2539i | −0.582065 | + | 0.662574i | ||||
\(760\) | 1.85447 | − | 0.655521i | 0.0672686 | − | 0.0237782i | ||||
\(761\) | −7.69024 | − | 13.3199i | −0.278771 | − | 0.482846i | 0.692309 | − | 0.721602i | \(-0.256594\pi\) |
−0.971080 | + | 0.238756i | \(0.923260\pi\) | |||||||
\(762\) | 0.648179 | − | 3.74875i | 0.0234811 | − | 0.135803i | ||||
\(763\) | 29.6310 | + | 24.9577i | 1.07272 | + | 0.903530i | ||||
\(764\) | −1.07781 | − | 20.7152i | −0.0389938 | − | 0.749451i | ||||
\(765\) | −10.8332 | − | 8.34209i | −0.391676 | − | 0.301609i | ||||
\(766\) | −10.4637 | − | 35.3492i | −0.378068 | − | 1.27722i | ||||
\(767\) | −2.66145 | + | 4.60977i | −0.0960995 | + | 0.166449i | ||||
\(768\) | −6.88504 | + | 26.8439i | −0.248443 | + | 0.968647i | ||||
\(769\) | 25.5362 | 0.920858 | 0.460429 | − | 0.887696i | \(-0.347696\pi\) | ||||
0.460429 | + | 0.887696i | \(0.347696\pi\) | |||||||
\(770\) | −14.3178 | + | 5.60598i | −0.515977 | + | 0.202025i | ||||
\(771\) | 7.79803 | − | 5.20084i | 0.280839 | − | 0.187304i | ||||
\(772\) | −4.32331 | + | 2.80527i | −0.155599 | + | 0.100964i | ||||
\(773\) | 4.00618 | + | 14.9513i | 0.144092 | + | 0.537760i | 0.999794 | + | 0.0202907i | \(0.00645919\pi\) |
−0.855702 | + | 0.517469i | \(0.826874\pi\) | |||||||
\(774\) | 34.4825 | − | 27.8152i | 1.23945 | − | 0.999795i | ||||
\(775\) | −15.7603 | − | 27.2976i | −0.566126 | − | 0.980559i | ||||
\(776\) | 2.61009 | + | 2.23178i | 0.0936967 | + | 0.0801162i | ||||
\(777\) | 5.53466 | + | 12.6719i | 0.198555 | + | 0.454600i | ||||
\(778\) | 0.388917 | + | 14.9599i | 0.0139433 | + | 0.536338i | ||||
\(779\) | −1.03007 | + | 3.84426i | −0.0369059 | + | 0.137735i | ||||
\(780\) | −7.13642 | + | 0.835740i | −0.255525 | + | 0.0299243i | ||||
\(781\) | 1.71821 | + | 6.41243i | 0.0614823 | + | 0.229455i | ||||
\(782\) | 21.3934 | + | 5.14036i | 0.765026 | + | 0.183819i | ||||
\(783\) | 14.1837 | + | 9.52993i | 0.506883 | + | 0.340572i | ||||
\(784\) | 26.9497 | − | 7.59707i | 0.962488 | − | 0.271324i | ||||
\(785\) | − | 2.10483i | − | 0.0751247i | ||||||
\(786\) | −20.5773 | − | 9.51228i | −0.733966 | − | 0.339292i | ||||
\(787\) | 16.5900 | − | 4.44528i | 0.591369 | − | 0.158457i | 0.0492904 | − | 0.998784i | \(-0.484304\pi\) |
0.542079 | + | 0.840328i | \(0.317637\pi\) | |||||||
\(788\) | −7.58030 | + | 2.45983i | −0.270037 | + | 0.0876278i | ||||
\(789\) | −14.6401 | − | 7.23525i | −0.521201 | − | 0.257582i | ||||
\(790\) | −17.7187 | + | 0.460638i | −0.630403 | + | 0.0163888i | ||||
\(791\) | 24.0146 | + | 34.4330i | 0.853862 | + | 1.22429i | ||||
\(792\) | −42.4238 | − | 13.8911i | −1.50747 | − | 0.493599i | ||||
\(793\) | 8.26288 | − | 4.77058i | 0.293423 | − | 0.169408i | ||||
\(794\) | 18.0843 | + | 9.82338i | 0.641787 | + | 0.348619i | ||||
\(795\) | 0.811438 | + | 12.5444i | 0.0287787 | + | 0.444905i | ||||
\(796\) | 15.2059 | − | 9.86666i | 0.538958 | − | 0.349715i | ||||
\(797\) | 24.5223 | + | 24.5223i | 0.868625 | + | 0.868625i | 0.992320 | − | 0.123695i | \(-0.0394745\pi\) |
−0.123695 | + | 0.992320i | \(0.539475\pi\) | |||||||
\(798\) | −1.01014 | − | 5.68043i | −0.0357584 | − | 0.201085i | ||||
\(799\) | − | 34.4294i | − | 1.21802i | ||||||
\(800\) | −3.26452 | + | 24.6171i | −0.115418 | + | 0.870347i | ||||
\(801\) | −28.8481 | − | 37.7290i | −1.01930 | − | 1.33309i | ||||
\(802\) | 4.41190 | − | 1.30596i | 0.155790 | − | 0.0461150i | ||||
\(803\) | −22.5651 | − | 6.04630i | −0.796305 | − | 0.213369i | ||||
\(804\) | −12.3864 | − | 1.81152i | −0.436833 | − | 0.0638873i | ||||
\(805\) | −3.55009 | + | 4.21484i | −0.125124 | + | 0.148554i | ||||
\(806\) | −26.9549 | + | 0.700755i | −0.949447 | + | 0.0246831i | ||||
\(807\) | 38.2108 | − | 12.9344i | 1.34508 | − | 0.455313i | ||||
\(808\) | 8.01394 | − | 16.7772i | 0.281929 | − | 0.590218i | ||||
\(809\) | 2.00663 | − | 3.47558i | 0.0705492 | − | 0.122195i | −0.828593 | − | 0.559852i | \(-0.810858\pi\) |
0.899142 | + | 0.437657i | \(0.144191\pi\) | |||||||
\(810\) | 9.65903 | + | 2.35581i | 0.339384 | + | 0.0827748i | ||||
\(811\) | −17.0041 | + | 17.0041i | −0.597096 | + | 0.597096i | −0.939539 | − | 0.342443i | \(-0.888746\pi\) |
0.342443 | + | 0.939539i | \(0.388746\pi\) | |||||||
\(812\) | −13.8739 | − | 10.5036i | −0.486879 | − | 0.368604i | ||||
\(813\) | −6.99880 | + | 4.66780i | −0.245459 | + | 0.163707i | ||||
\(814\) | −5.24499 | + | 21.8288i | −0.183837 | + | 0.765100i | ||||
\(815\) | 0.895887 | − | 1.55172i | 0.0313815 | − | 0.0543544i | ||||
\(816\) | 6.78166 | + | 39.8509i | 0.237405 | + | 1.39506i | ||||
\(817\) | 4.64815 | + | 8.05084i | 0.162618 | + | 0.281663i | ||||
\(818\) | −8.87653 | − | 8.42669i | −0.310361 | − | 0.294632i | ||||
\(819\) | −0.994598 | + | 21.0528i | −0.0347540 | + | 0.735645i | ||||
\(820\) | 5.18837 | + | 4.67517i | 0.181186 | + | 0.163264i | ||||
\(821\) | 23.9229 | + | 6.41013i | 0.834915 | + | 0.223715i | 0.650857 | − | 0.759200i | \(-0.274410\pi\) |
0.184058 | + | 0.982915i | \(0.441076\pi\) | |||||||
\(822\) | 14.4142 | − | 17.2945i | 0.502753 | − | 0.603214i | ||||
\(823\) | 17.5032 | − | 30.3164i | 0.610122 | − | 1.05676i | −0.381097 | − | 0.924535i | \(-0.624454\pi\) |
0.991219 | − | 0.132228i | \(-0.0422131\pi\) | |||||||
\(824\) | 3.29298 | − | 17.7114i | 0.114716 | − | 0.617007i | ||||
\(825\) | −39.2255 | − | 7.83729i | −1.36566 | − | 0.272859i | ||||
\(826\) | −6.03846 | + | 4.44906i | −0.210105 | + | 0.154803i | ||||
\(827\) | 22.5742 | + | 22.5742i | 0.784981 | + | 0.784981i | 0.980667 | − | 0.195686i | \(-0.0626934\pi\) |
−0.195686 | + | 0.980667i | \(0.562693\pi\) | |||||||
\(828\) | −15.7369 | + | 2.88272i | −0.546896 | + | 0.100181i | ||||
\(829\) | 0.0390009 | + | 0.145553i | 0.00135456 | + | 0.00505528i | 0.966600 | − | 0.256291i | \(-0.0825004\pi\) |
−0.965245 | + | 0.261346i | \(0.915834\pi\) | |||||||
\(830\) | −9.98490 | + | 2.95562i | −0.346581 | + | 0.102591i | ||||
\(831\) | 2.64512 | − | 0.895378i | 0.0917583 | − | 0.0310603i | ||||
\(832\) | 17.1718 | + | 12.5057i | 0.595323 | + | 0.433557i | ||||
\(833\) | 31.3851 | − | 26.1363i | 1.08743 | − | 0.905570i | ||||
\(834\) | −12.4583 | + | 8.78515i | −0.431394 | + | 0.304205i | ||||
\(835\) | −3.90813 | + | 14.5854i | −0.135247 | + | 0.504747i | ||||
\(836\) | 4.25573 | − | 8.34457i | 0.147188 | − | 0.288603i | ||||
\(837\) | 35.2993 | + | 12.0835i | 1.22012 | + | 0.417668i | ||||
\(838\) | 24.3739 | − | 14.9300i | 0.841983 | − | 0.515749i | ||||
\(839\) | − | 26.4389i | − | 0.912773i | −0.889782 | − | 0.456386i | \(-0.849143\pi\) | ||
0.889782 | − | 0.456386i | \(-0.150857\pi\) | |||||||
\(840\) | −9.68540 | − | 2.94971i | −0.334178 | − | 0.101775i | ||||
\(841\) | − | 18.1853i | − | 0.627080i | ||||||
\(842\) | −9.01448 | − | 14.7165i | −0.310659 | − | 0.507165i | ||||
\(843\) | −17.3734 | + | 1.12380i | −0.598371 | + | 0.0387057i | ||||
\(844\) | −5.14815 | − | 15.8647i | −0.177207 | − | 0.546087i | ||||
\(845\) | 1.20273 | − | 4.48863i | 0.0413750 | − | 0.154414i | ||||
\(846\) | 10.1392 | + | 22.8899i | 0.348594 | + | 0.786972i | ||||
\(847\) | −18.7218 | + | 39.9544i | −0.643290 | + | 1.37285i | ||||
\(848\) | 23.4104 | − | 28.8649i | 0.803917 | − | 0.991225i | ||||
\(849\) | −4.74312 | − | 14.0121i | −0.162783 | − | 0.480895i | ||||
\(850\) | 10.2812 | + | 34.7329i | 0.352644 | + | 1.19133i | ||||
\(851\) | 2.08246 | + | 7.77183i | 0.0713857 | + | 0.266415i | ||||
\(852\) | −1.73049 | + | 4.01418i | −0.0592855 | + | 0.137524i | ||||
\(853\) | 20.4506 | + | 20.4506i | 0.700215 | + | 0.700215i | 0.964457 | − | 0.264241i | \(-0.0851215\pi\) |
−0.264241 | + | 0.964457i | \(0.585122\pi\) | |||||||
\(854\) | 13.3610 | − | 1.49451i | 0.457206 | − | 0.0511411i | ||||
\(855\) | −0.801659 | + | 1.92606i | −0.0274161 | + | 0.0658697i | ||||
\(856\) | 43.7093 | − | 30.0042i | 1.49395 | − | 1.02552i | ||||
\(857\) | 18.7287 | − | 32.4390i | 0.639759 | − | 1.10809i | −0.345727 | − | 0.938335i | \(-0.612368\pi\) |
0.985486 | − | 0.169759i | \(-0.0542990\pi\) | |||||||
\(858\) | −21.9080 | + | 26.2857i | −0.747927 | + | 0.897378i | ||||
\(859\) | 4.39190 | + | 1.17681i | 0.149850 | + | 0.0401521i | 0.332964 | − | 0.942940i | \(-0.391951\pi\) |
−0.183114 | + | 0.983092i | \(0.558618\pi\) | |||||||
\(860\) | 16.2915 | − | 0.847640i | 0.555534 | − | 0.0289043i | ||||
\(861\) | 16.0117 | − | 12.7793i | 0.545677 | − | 0.435517i | ||||
\(862\) | 7.56346 | − | 7.96722i | 0.257612 | − | 0.271364i | ||||
\(863\) | −18.7789 | − | 32.5260i | −0.639241 | − | 1.10720i | −0.985600 | − | 0.169096i | \(-0.945915\pi\) |
0.346359 | − | 0.938102i | \(-0.387418\pi\) | |||||||
\(864\) | −16.2446 | − | 24.4972i | −0.552651 | − | 0.833413i | ||||
\(865\) | 8.57491 | − | 14.8522i | 0.291556 | − | 0.504989i | ||||
\(866\) | −8.87796 | − | 2.13318i | −0.301685 | − | 0.0724884i | ||||
\(867\) | 16.3795 | + | 24.5591i | 0.556278 | + | 0.834071i | ||||
\(868\) | −35.1962 | − | 14.3121i | −1.19464 | − | 0.485784i | ||||
\(869\) | −59.6877 | + | 59.6877i | −2.02477 | + | 2.02477i | ||||
\(870\) | 2.17170 | + | 5.90560i | 0.0736274 | + | 0.200219i | ||||
\(871\) | −4.79781 | + | 8.31005i | −0.162568 | + | 0.281575i | ||||
\(872\) | −17.8512 | + | 37.3715i | −0.604519 | + | 1.26556i | ||||
\(873\) | −3.61211 | + | 0.469264i | −0.122252 | + | 0.0158822i | ||||
\(874\) | −0.0872467 | − | 3.35599i | −0.00295116 | − | 0.113518i | ||||
\(875\) | −19.1046 | − | 3.40541i | −0.645854 | − | 0.115124i | ||||
\(876\) | −9.18849 | − | 12.3365i | −0.310450 | − | 0.416813i | ||||
\(877\) | 34.8510 | + | 9.33830i | 1.17684 | + | 0.315332i | 0.793670 | − | 0.608348i | \(-0.208167\pi\) |
0.383165 | + | 0.923680i | \(0.374834\pi\) | |||||||
\(878\) | −11.2592 | − | 38.0367i | −0.379979 | − | 1.28368i | ||||
\(879\) | 18.2525 | − | 20.7771i | 0.615642 | − | 0.700796i | ||||
\(880\) | −9.65185 | − | 13.3057i | −0.325364 | − | 0.448536i | ||||
\(881\) | − | 3.11993i | − | 0.105113i | −0.998618 | − | 0.0525566i | \(-0.983263\pi\) | ||
0.998618 | − | 0.0525566i | \(-0.0167370\pi\) | |||||||
\(882\) | −13.1690 | + | 26.6191i | −0.443423 | + | 0.896313i | ||||
\(883\) | 23.0064 | + | 23.0064i | 0.774227 | + | 0.774227i | 0.978842 | − | 0.204615i | \(-0.0655943\pi\) |
−0.204615 | + | 0.978842i | \(0.565594\pi\) | |||||||
\(884\) | 30.3068 | + | 6.45386i | 1.01933 | + | 0.217067i | ||||
\(885\) | 2.70646 | − | 0.175068i | 0.0909768 | − | 0.00588485i | ||||
\(886\) | −0.595508 | + | 1.09630i | −0.0200065 | + | 0.0368308i | ||||
\(887\) | 38.8285 | − | 22.4176i | 1.30373 | − | 0.752710i | 0.322690 | − | 0.946505i | \(-0.395413\pi\) |
0.981042 | + | 0.193795i | \(0.0620795\pi\) | |||||||
\(888\) | −11.6220 | + | 9.13529i | −0.390008 | + | 0.306560i | ||||
\(889\) | −2.35065 | − | 3.37044i | −0.0788383 | − | 0.113041i | ||||
\(890\) | −0.454504 | − | 17.4828i | −0.0152350 | − | 0.586024i | ||||
\(891\) | 41.0853 | − | 23.5337i | 1.37641 | − | 0.788409i | ||||
\(892\) | 24.2606 | − | 47.5697i | 0.812305 | − | 1.59275i | ||||
\(893\) | −5.07426 | + | 1.35964i | −0.169804 | + | 0.0454987i | ||||
\(894\) | 31.4799 | + | 14.5523i | 1.05285 | + | 0.486701i | ||||
\(895\) | − | 1.16011i | − | 0.0387782i | ||||||
\(896\) | 15.1101 | + | 25.8396i | 0.504792 | + | 0.863241i | ||||
\(897\) | −2.40280 | + | 12.0260i | −0.0802273 | + | 0.401536i | ||||
\(898\) | −0.296539 | + | 1.23415i | −0.00989564 | + | 0.0411841i | ||||
\(899\) | 6.11151 | + | 22.8085i | 0.203830 | + | 0.760705i | ||||
\(900\) | −17.0640 | − | 20.0640i | −0.568800 | − | 0.668800i | ||||
\(901\) | 14.0309 | − | 52.3641i | 0.467438 | − | 1.74450i | ||||
\(902\) | 33.2491 | − | 0.864385i | 1.10707 | − | 0.0287809i | ||||
\(903\) | 5.33889 | − | 47.5536i | 0.177667 | − | 1.58248i | ||||
\(904\) | −29.1656 | + | 34.1095i | −0.970035 | + | 1.13446i | ||||
\(905\) | −8.33027 | − | 14.4285i | −0.276908 | − | 0.479618i | ||||
\(906\) | 13.5638 | − | 16.2742i | 0.450629 | − | 0.540674i | ||||
\(907\) | −15.0607 | − | 56.2074i | −0.500083 | − | 1.86634i | −0.499463 | − | 0.866335i | \(-0.666469\pi\) |
−0.000620375 | − | 1.00000i | \(-0.500197\pi\) | |||||||
\(908\) | −7.14519 | + | 33.5532i | −0.237121 | + | 1.11350i | ||||
\(909\) | 7.51565 | + | 18.2325i | 0.249278 | + | 0.604733i | ||||
\(910\) | −4.84373 | + | 6.06381i | −0.160568 | + | 0.201013i | ||||
\(911\) | 0.821005 | 0.0272011 | 0.0136006 | − | 0.999908i | \(-0.495671\pi\) | ||||
0.0136006 | + | 0.999908i | \(0.495671\pi\) | |||||||
\(912\) | 5.60549 | − | 2.57324i | 0.185616 | − | 0.0852084i | ||||
\(913\) | −24.7955 | + | 42.9471i | −0.820612 | + | 1.42134i | ||||
\(914\) | −7.06417 | + | 2.09105i | −0.233662 | + | 0.0691659i | ||||
\(915\) | −4.35821 | − | 2.15387i | −0.144078 | − | 0.0712046i | ||||
\(916\) | 5.18554 | − | 5.75477i | 0.171335 | − | 0.190143i | ||||
\(917\) | −23.0248 | + | 8.33173i | −0.760345 | + | 0.275138i | ||||
\(918\) | −36.1983 | − | 22.9790i | −1.19472 | − | 0.758419i | ||||
\(919\) | 9.52088 | + | 16.4906i | 0.314065 | + | 0.543976i | 0.979238 | − | 0.202713i | \(-0.0649758\pi\) |
−0.665173 | + | 0.746689i | \(0.731642\pi\) | |||||||
\(920\) | −5.31588 | − | 2.53924i | −0.175259 | − | 0.0837162i | ||||
\(921\) | −9.82828 | − | 8.63404i | −0.323853 | − | 0.284501i | ||||
\(922\) | 12.3711 | + | 20.1964i | 0.407421 | + | 0.665132i | ||||
\(923\) | 2.36935 | + | 2.36935i | 0.0779880 | + | 0.0779880i | ||||
\(924\) | −43.1237 | + | 21.5689i | −1.41866 | + | 0.709565i | ||||
\(925\) | −9.36649 | + | 9.36649i | −0.307968 | + | 0.307968i | ||||
\(926\) | 4.36760 | − | 18.1773i | 0.143528 | − | 0.597342i | ||||
\(927\) | 11.6061 | + | 15.1791i | 0.381195 | + | 0.498546i | ||||
\(928\) | 7.13524 | − | 17.1802i | 0.234226 | − | 0.563967i | ||||
\(929\) | −41.5872 | + | 24.0104i | −1.36443 | + | 0.787755i | −0.990210 | − | 0.139585i | \(-0.955423\pi\) |
−0.374221 | + | 0.927339i | \(0.622090\pi\) | |||||||
\(930\) | 7.91751 | + | 11.2278i | 0.259625 | + | 0.368175i | ||||
\(931\) | −5.09144 | − | 3.59344i | −0.166865 | − | 0.117770i | ||||
\(932\) | −0.980633 | − | 18.8476i | −0.0321217 | − | 0.617372i | ||||
\(933\) | 43.1280 | + | 21.3142i | 1.41195 | + | 0.697797i | ||||
\(934\) | 48.9292 | + | 26.5783i | 1.60101 | + | 0.869669i | ||||
\(935\) | −20.7649 | − | 11.9886i | −0.679086 | − | 0.392071i | ||||
\(936\) | −22.0498 | + | 4.63442i | −0.720719 | + | 0.151481i | ||||
\(937\) | − | 39.8484i | − | 1.30179i | −0.759168 | − | 0.650895i | \(-0.774394\pi\) | ||
0.759168 | − | 0.650895i | \(-0.225606\pi\) | |||||||
\(938\) | −10.8855 | + | 8.02033i | −0.355426 | + | 0.261873i | ||||
\(939\) | −23.1811 | + | 15.4605i | −0.756487 | + | 0.504534i | ||||
\(940\) | −1.92006 | + | 9.01644i | −0.0626253 | + | 0.294084i | ||||
\(941\) | −22.9847 | + | 6.15874i | −0.749281 | + | 0.200769i | −0.613199 | − | 0.789928i | \(-0.710118\pi\) |
−0.136082 | + | 0.990698i | \(0.543451\pi\) | |||||||
\(942\) | −0.597089 | − | 6.57332i | −0.0194542 | − | 0.214170i | ||||
\(943\) | 10.3233 | − | 5.96015i | 0.336172 | − | 0.194089i | ||||
\(944\) | −6.22762 | − | 5.05080i | −0.202692 | − | 0.164390i | ||||
\(945\) | 9.20529 | − | 5.53027i | 0.299448 | − | 0.179900i | ||||
\(946\) | 53.4892 | − | 56.3446i | 1.73909 | − | 1.83192i | ||||
\(947\) | 13.3126 | + | 3.56711i | 0.432602 | + | 0.115915i | 0.468548 | − | 0.883438i | \(-0.344777\pi\) |
−0.0359451 | + | 0.999354i | \(0.511444\pi\) | |||||||
\(948\) | −55.2043 | + | 6.46492i | −1.79295 | + | 0.209971i | ||||
\(949\) | −11.3894 | + | 3.05179i | −0.369716 | + | 0.0990652i | ||||
\(950\) | 4.71299 | − | 2.88690i | 0.152909 | − | 0.0936634i | ||||
\(951\) | −3.62874 | + | 18.1617i | −0.117670 | + | 0.588935i | ||||
\(952\) | 35.4848 | + | 25.4414i | 1.15007 | + | 0.824561i | ||||
\(953\) | 51.0166 | 1.65259 | 0.826295 | − | 0.563238i | \(-0.190445\pi\) | ||||
0.826295 | + | 0.563238i | \(0.190445\pi\) | |||||||
\(954\) | 6.09264 | + | 38.9457i | 0.197256 | + | 1.26091i | ||||
\(955\) | 2.09685 | + | 7.82555i | 0.0678524 | + | 0.253229i | ||||
\(956\) | −15.9685 | − | 8.14394i | −0.516458 | − | 0.263394i | ||||
\(957\) | 26.8642 | + | 13.2765i | 0.868398 | + | 0.429169i | ||||
\(958\) | 26.9466 | − | 28.3850i | 0.870604 | − | 0.917079i | ||||
\(959\) | −2.07423 | − | 24.2290i | −0.0669804 | − | 0.782394i | ||||
\(960\) | 0.446410 | − | 10.8145i | 0.0144078 | − | 0.349035i | ||||
\(961\) | 10.2787 | + | 17.8033i | 0.331572 | + | 0.574300i | ||||
\(962\) | 3.21624 | + | 10.8654i | 0.103696 | + | 0.350313i | ||||
\(963\) | −7.43511 | + | 55.7388i | −0.239593 | + | 1.79616i | ||||
\(964\) | 45.1347 | − | 29.2866i | 1.45369 | − | 0.943259i | ||||
\(965\) | 1.42330 | − | 1.42330i | 0.0458177 | − | 0.0458177i | ||||
\(966\) | −9.89118 | + | 14.1699i | −0.318243 | + | 0.455909i | ||||
\(967\) | 25.7161 | 0.826974 | 0.413487 | − | 0.910510i | \(-0.364311\pi\) | ||||
0.413487 | + | 0.910510i | \(0.364311\pi\) | |||||||
\(968\) | −46.3750 | − | 8.62222i | −1.49055 | − | 0.277129i | ||||
\(969\) | 5.93787 | − | 6.75918i | 0.190752 | − | 0.217136i | ||||
\(970\) | −1.17860 | − | 0.640216i | −0.0378426 | − | 0.0205561i | ||||
\(971\) | −1.77838 | + | 6.63699i | −0.0570708 | + | 0.212991i | −0.988573 | − | 0.150746i | \(-0.951833\pi\) |
0.931502 | + | 0.363737i | \(0.118499\pi\) | |||||||
\(972\) | 30.8331 | + | 4.61710i | 0.988973 | + | 0.148093i | ||||
\(973\) | −2.88947 | + | 16.2102i | −0.0926323 | + | 0.519674i | ||||
\(974\) | −1.34911 | + | 1.42113i | −0.0432283 | + | 0.0455359i | ||||
\(975\) | −19.1239 | + | 6.47347i | −0.612455 | + | 0.207317i | ||||
\(976\) | 5.14057 | + | 13.4219i | 0.164546 | + | 0.429624i | ||||
\(977\) | 22.7924 | + | 13.1592i | 0.729192 | + | 0.420999i | 0.818127 | − | 0.575038i | \(-0.195013\pi\) |
−0.0889342 | + | 0.996037i | \(0.528346\pi\) | |||||||
\(978\) | 2.35764 | − | 5.10012i | 0.0753891 | − | 0.163084i | ||||
\(979\) | −58.8929 | − | 58.8929i | −1.88222 | − | 1.88222i | ||||
\(980\) | −9.67677 | + | 5.09436i | −0.309113 | + | 0.162733i | ||||
\(981\) | −16.7413 | − | 40.6133i | −0.534508 | − | 1.29668i | ||||
\(982\) | 14.4924 | + | 23.6594i | 0.462471 | + | 0.755003i | ||||
\(983\) | 1.85155 | + | 1.06899i | 0.0590552 | + | 0.0340955i | 0.529237 | − | 0.848474i | \(-0.322478\pi\) |
−0.470182 | + | 0.882570i | \(0.655812\pi\) | |||||||
\(984\) | 17.5294 | + | 13.1286i | 0.558815 | + | 0.418525i | ||||
\(985\) | 2.69557 | − | 1.55629i | 0.0858881 | − | 0.0495875i | ||||
\(986\) | −0.705213 | − | 27.1264i | −0.0224585 | − | 0.863880i | ||||
\(987\) | 25.1756 | + | 9.86917i | 0.801348 | + | 0.314139i | ||||
\(988\) | −0.245661 | − | 4.72154i | −0.00781551 | − | 0.150212i | ||||
\(989\) | 7.20652 | − | 26.8951i | 0.229154 | − | 0.855214i | ||||
\(990\) | 17.3359 | + | 1.85535i | 0.550971 | + | 0.0589668i | ||||
\(991\) | 6.78484 | + | 3.91723i | 0.215528 | + | 0.124435i | 0.603878 | − | 0.797077i | \(-0.293622\pi\) |
−0.388350 | + | 0.921512i | \(0.626955\pi\) | |||||||
\(992\) | 5.33969 | − | 40.2657i | 0.169535 | − | 1.27844i | ||||
\(993\) | −47.1803 | − | 9.42667i | −1.49722 | − | 0.299146i | ||||
\(994\) | 1.72142 | + | 4.39655i | 0.0546003 | + | 0.139450i | ||||
\(995\) | −5.00602 | + | 5.00602i | −0.158701 | + | 0.158701i | ||||
\(996\) | −30.3441 | + | 12.0628i | −0.961490 | + | 0.382223i | ||||
\(997\) | 33.4779 | − | 8.97039i | 1.06026 | − | 0.284095i | 0.313773 | − | 0.949498i | \(-0.398407\pi\) |
0.746484 | + | 0.665403i | \(0.231740\pi\) | |||||||
\(998\) | 2.31854 | − | 4.26831i | 0.0733922 | − | 0.135111i | ||||
\(999\) | 1.06559 | − | 15.6430i | 0.0337137 | − | 0.494923i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 336.2.bu.a.11.3 | ✓ | 240 | |
3.2 | odd | 2 | inner | 336.2.bu.a.11.58 | yes | 240 | |
7.2 | even | 3 | inner | 336.2.bu.a.107.37 | yes | 240 | |
16.3 | odd | 4 | inner | 336.2.bu.a.179.24 | yes | 240 | |
21.2 | odd | 6 | inner | 336.2.bu.a.107.24 | yes | 240 | |
48.35 | even | 4 | inner | 336.2.bu.a.179.37 | yes | 240 | |
112.51 | odd | 12 | inner | 336.2.bu.a.275.58 | yes | 240 | |
336.275 | even | 12 | inner | 336.2.bu.a.275.3 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bu.a.11.3 | ✓ | 240 | 1.1 | even | 1 | trivial | |
336.2.bu.a.11.58 | yes | 240 | 3.2 | odd | 2 | inner | |
336.2.bu.a.107.24 | yes | 240 | 21.2 | odd | 6 | inner | |
336.2.bu.a.107.37 | yes | 240 | 7.2 | even | 3 | inner | |
336.2.bu.a.179.24 | yes | 240 | 16.3 | odd | 4 | inner | |
336.2.bu.a.179.37 | yes | 240 | 48.35 | even | 4 | inner | |
336.2.bu.a.275.3 | yes | 240 | 336.275 | even | 12 | inner | |
336.2.bu.a.275.58 | yes | 240 | 112.51 | odd | 12 | inner |