Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(5,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.h (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 65.9 | ||
Character | \(\chi\) | \(=\) | 162.65 |
Dual form | 162.3.h.a.5.9 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{31}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.326140 | + | 1.37609i | −0.163070 | + | 0.688047i | ||||
\(3\) | 2.89210 | − | 0.797352i | 0.964033 | − | 0.265784i | ||||
\(4\) | −1.78727 | − | 0.897598i | −0.446816 | − | 0.224400i | ||||
\(5\) | −7.40578 | − | 5.51340i | −1.48116 | − | 1.10268i | −0.969974 | − | 0.243207i | \(-0.921801\pi\) |
−0.511181 | − | 0.859473i | \(-0.670792\pi\) | |||||||
\(6\) | 0.154002 | + | 4.23984i | 0.0256670 | + | 0.706641i | ||||
\(7\) | −1.07376 | − | 0.706223i | −0.153394 | − | 0.100889i | 0.470492 | − | 0.882404i | \(-0.344077\pi\) |
−0.623886 | + | 0.781515i | \(0.714447\pi\) | |||||||
\(8\) | 1.81808 | − | 2.16670i | 0.227260 | − | 0.270838i | ||||
\(9\) | 7.72846 | − | 4.61204i | 0.858718 | − | 0.512449i | ||||
\(10\) | 10.0023 | − | 8.39290i | 1.00023 | − | 0.839290i | ||||
\(11\) | −1.07678 | − | 9.21247i | −0.0978894 | − | 0.837497i | −0.949596 | − | 0.313478i | \(-0.898506\pi\) |
0.851706 | − | 0.524020i | \(-0.175568\pi\) | |||||||
\(12\) | −5.88465 | − | 1.17086i | −0.490387 | − | 0.0975718i | ||||
\(13\) | 4.35535 | − | 14.5479i | 0.335027 | − | 1.11907i | −0.610090 | − | 0.792332i | \(-0.708867\pi\) |
0.945116 | − | 0.326734i | \(-0.105948\pi\) | |||||||
\(14\) | 1.32203 | − | 1.24727i | 0.0944304 | − | 0.0890904i | ||||
\(15\) | −25.8144 | − | 10.0403i | −1.72096 | − | 0.669351i | ||||
\(16\) | 2.38863 | + | 3.20849i | 0.149290 | + | 0.200531i | ||||
\(17\) | 0.471048 | − | 0.0830584i | 0.0277087 | − | 0.00488579i | −0.159777 | − | 0.987153i | \(-0.551077\pi\) |
0.187485 | + | 0.982267i | \(0.439966\pi\) | |||||||
\(18\) | 3.82604 | + | 12.1393i | 0.212558 | + | 0.674403i | ||||
\(19\) | −3.61111 | + | 20.4796i | −0.190059 | + | 1.07788i | 0.729223 | + | 0.684276i | \(0.239882\pi\) |
−0.919282 | + | 0.393600i | \(0.871230\pi\) | |||||||
\(20\) | 8.28728 | + | 16.5013i | 0.414364 | + | 0.825066i | ||||
\(21\) | −3.66853 | − | 1.18630i | −0.174692 | − | 0.0564905i | ||||
\(22\) | 13.0284 | + | 1.52280i | 0.592200 | + | 0.0692182i | ||||
\(23\) | −15.9635 | − | 24.2713i | −0.694065 | − | 1.05527i | −0.994828 | − | 0.101575i | \(-0.967612\pi\) |
0.300763 | − | 0.953699i | \(-0.402759\pi\) | |||||||
\(24\) | 3.53043 | − | 7.71596i | 0.147101 | − | 0.321498i | ||||
\(25\) | 17.2779 | + | 57.7123i | 0.691117 | + | 2.30849i | ||||
\(26\) | 18.5988 | + | 10.7380i | 0.715337 | + | 0.413000i | ||||
\(27\) | 18.6740 | − | 19.5008i | 0.691631 | − | 0.722251i | ||||
\(28\) | 1.28519 | + | 2.22601i | 0.0458996 | + | 0.0795005i | ||||
\(29\) | −7.55899 | − | 7.13154i | −0.260655 | − | 0.245915i | 0.544809 | − | 0.838560i | \(-0.316602\pi\) |
−0.805464 | + | 0.592645i | \(0.798084\pi\) | |||||||
\(30\) | 22.2354 | − | 32.2484i | 0.741182 | − | 1.07495i | ||||
\(31\) | −0.914886 | − | 15.7080i | −0.0295124 | − | 0.506709i | −0.980381 | − | 0.197113i | \(-0.936843\pi\) |
0.950868 | − | 0.309596i | \(-0.100194\pi\) | |||||||
\(32\) | −5.19421 | + | 2.24057i | −0.162319 | + | 0.0700177i | ||||
\(33\) | −10.4597 | − | 25.7848i | −0.316962 | − | 0.781357i | ||||
\(34\) | −0.0393314 | + | 0.675294i | −0.00115681 | + | 0.0198616i | ||||
\(35\) | 4.05834 | + | 11.1502i | 0.115953 | + | 0.318577i | ||||
\(36\) | −17.9526 | + | 1.30589i | −0.498682 | + | 0.0362748i | ||||
\(37\) | 61.2478 | + | 22.2924i | 1.65535 | + | 0.602497i | 0.989621 | − | 0.143700i | \(-0.0459001\pi\) |
0.665725 | + | 0.746197i | \(0.268122\pi\) | |||||||
\(38\) | −27.0042 | − | 11.6485i | −0.710636 | − | 0.306538i | ||||
\(39\) | 0.996308 | − | 45.5466i | 0.0255464 | − | 1.16786i | ||||
\(40\) | −25.4102 | + | 6.02232i | −0.635254 | + | 0.150558i | ||||
\(41\) | 8.54541 | + | 36.0559i | 0.208425 | + | 0.879413i | 0.972241 | + | 0.233980i | \(0.0751750\pi\) |
−0.763817 | + | 0.645433i | \(0.776677\pi\) | |||||||
\(42\) | 2.82891 | − | 4.66134i | 0.0673551 | − | 0.110984i | ||||
\(43\) | −12.7320 | + | 29.5161i | −0.296093 | + | 0.686420i | −0.999708 | − | 0.0241609i | \(-0.992309\pi\) |
0.703615 | + | 0.710581i | \(0.251568\pi\) | |||||||
\(44\) | −6.34460 | + | 17.4316i | −0.144195 | + | 0.396174i | ||||
\(45\) | −82.6633 | − | 8.45430i | −1.83696 | − | 0.187873i | ||||
\(46\) | 38.6059 | − | 14.0514i | 0.839259 | − | 0.305465i | ||||
\(47\) | 10.0825 | + | 0.587238i | 0.214521 | + | 0.0124944i | 0.165069 | − | 0.986282i | \(-0.447215\pi\) |
0.0494523 | + | 0.998776i | \(0.484252\pi\) | |||||||
\(48\) | 9.46646 | + | 7.37469i | 0.197218 | + | 0.153639i | ||||
\(49\) | −18.7537 | − | 43.4760i | −0.382729 | − | 0.887265i | ||||
\(50\) | −85.0525 | + | 4.95375i | −1.70105 | + | 0.0990749i | ||||
\(51\) | 1.29609 | − | 0.615804i | 0.0254135 | − | 0.0120746i | ||||
\(52\) | −20.8423 | + | 22.0915i | −0.400813 | + | 0.424837i | ||||
\(53\) | 14.3946 | − | 8.31072i | 0.271596 | − | 0.156806i | −0.358017 | − | 0.933715i | \(-0.616547\pi\) |
0.629613 | + | 0.776909i | \(0.283214\pi\) | |||||||
\(54\) | 20.7445 | + | 32.0572i | 0.384158 | + | 0.593652i | ||||
\(55\) | −42.8176 | + | 74.1622i | −0.778502 | + | 1.34840i | ||||
\(56\) | −3.48235 | + | 1.04255i | −0.0621849 | + | 0.0186169i | ||||
\(57\) | 5.88580 | + | 62.1084i | 0.103260 | + | 1.08962i | ||||
\(58\) | 12.2790 | − | 8.07600i | 0.211706 | − | 0.139241i | ||||
\(59\) | −8.16985 | + | 69.8975i | −0.138472 | + | 1.18470i | 0.728036 | + | 0.685539i | \(0.240434\pi\) |
−0.866507 | + | 0.499164i | \(0.833640\pi\) | |||||||
\(60\) | 37.1250 | + | 41.1156i | 0.618750 | + | 0.685259i | ||||
\(61\) | 67.7959 | − | 34.0484i | 1.11141 | − | 0.558170i | 0.204233 | − | 0.978922i | \(-0.434530\pi\) |
0.907176 | + | 0.420752i | \(0.138234\pi\) | |||||||
\(62\) | 21.9140 | + | 3.86403i | 0.353452 | + | 0.0623231i | ||||
\(63\) | −11.5556 | − | 0.505789i | −0.183423 | − | 0.00802840i | ||||
\(64\) | −1.38919 | − | 7.87846i | −0.0217060 | − | 0.123101i | ||||
\(65\) | −112.463 | + | 83.7255i | −1.73020 | + | 1.28809i | ||||
\(66\) | 38.8936 | − | 5.98413i | 0.589297 | − | 0.0906687i | ||||
\(67\) | 27.1526 | + | 28.7800i | 0.405262 | + | 0.429553i | 0.897572 | − | 0.440867i | \(-0.145329\pi\) |
−0.492310 | + | 0.870420i | \(0.663847\pi\) | |||||||
\(68\) | −0.916440 | − | 0.274364i | −0.0134771 | − | 0.00403477i | ||||
\(69\) | −65.5207 | − | 57.4665i | −0.949576 | − | 0.832847i | ||||
\(70\) | −16.6673 | + | 1.94813i | −0.238104 | + | 0.0278304i | ||||
\(71\) | −57.4122 | − | 68.4212i | −0.808623 | − | 0.963679i | 0.191217 | − | 0.981548i | \(-0.438756\pi\) |
−0.999840 | + | 0.0178683i | \(0.994312\pi\) | |||||||
\(72\) | 4.05802 | − | 25.1303i | 0.0563614 | − | 0.349032i | ||||
\(73\) | −97.8021 | − | 82.0657i | −1.33975 | − | 1.12419i | −0.981689 | − | 0.190491i | \(-0.938992\pi\) |
−0.358066 | − | 0.933696i | \(-0.616564\pi\) | |||||||
\(74\) | −50.6518 | + | 77.0123i | −0.684483 | + | 1.04071i | ||||
\(75\) | 95.9865 | + | 153.133i | 1.27982 | + | 2.04177i | ||||
\(76\) | 24.8365 | − | 33.3612i | 0.326796 | − | 0.438963i | ||||
\(77\) | −5.34985 | + | 10.6524i | −0.0694786 | + | 0.138343i | ||||
\(78\) | 62.3514 | + | 16.2256i | 0.799377 | + | 0.208020i | ||||
\(79\) | 115.638 | + | 27.4066i | 1.46377 | + | 0.346919i | 0.883856 | − | 0.467760i | \(-0.154939\pi\) |
0.579912 | + | 0.814679i | \(0.303087\pi\) | |||||||
\(80\) | − | 36.9309i | − | 0.461636i | ||||||
\(81\) | 38.4581 | − | 71.2880i | 0.474792 | − | 0.880098i | ||||
\(82\) | −52.4033 | −0.639065 | ||||||||
\(83\) | 9.97925 | − | 42.1058i | 0.120232 | − | 0.507298i | −0.879287 | − | 0.476292i | \(-0.841981\pi\) |
0.999519 | − | 0.0310065i | \(-0.00987125\pi\) | |||||||
\(84\) | 5.49181 | + | 5.41310i | 0.0653787 | + | 0.0644417i | ||||
\(85\) | −3.94641 | − | 1.98196i | −0.0464283 | − | 0.0233172i | ||||
\(86\) | −36.4644 | − | 27.1468i | −0.424005 | − | 0.315660i | ||||
\(87\) | −27.5477 | − | 14.5979i | −0.316640 | − | 0.167792i | ||||
\(88\) | −21.9183 | − | 14.4159i | −0.249072 | − | 0.163817i | ||||
\(89\) | 52.4426 | − | 62.4987i | 0.589243 | − | 0.702233i | −0.386217 | − | 0.922408i | \(-0.626219\pi\) |
0.975460 | + | 0.220175i | \(0.0706629\pi\) | |||||||
\(90\) | 38.5937 | − | 110.995i | 0.428819 | − | 1.23328i | ||||
\(91\) | −14.9506 | + | 12.5451i | −0.164293 | + | 0.137858i | ||||
\(92\) | 6.74510 | + | 57.7081i | 0.0733164 | + | 0.627261i | ||||
\(93\) | −15.1707 | − | 44.6995i | −0.163126 | − | 0.480640i | ||||
\(94\) | −4.09640 | + | 13.6829i | −0.0435787 | + | 0.145563i | ||||
\(95\) | 139.655 | − | 131.758i | 1.47006 | − | 1.38693i | ||||
\(96\) | −13.2357 | + | 10.6216i | −0.137871 | + | 0.110641i | ||||
\(97\) | −83.7265 | − | 112.464i | −0.863160 | − | 1.15942i | −0.985958 | − | 0.166993i | \(-0.946594\pi\) |
0.122799 | − | 0.992432i | \(-0.460813\pi\) | |||||||
\(98\) | 65.9433 | − | 11.6276i | 0.672891 | − | 0.118649i | ||||
\(99\) | −50.8102 | − | 66.2320i | −0.513234 | − | 0.669010i | ||||
\(100\) | 20.9222 | − | 118.656i | 0.209222 | − | 1.18656i | ||||
\(101\) | 70.2092 | + | 139.798i | 0.695141 | + | 1.38414i | 0.912919 | + | 0.408141i | \(0.133823\pi\) |
−0.217778 | + | 0.975998i | \(0.569881\pi\) | |||||||
\(102\) | 0.424697 | + | 1.98438i | 0.00416370 | + | 0.0194547i | ||||
\(103\) | 128.865 | + | 15.0622i | 1.25112 | + | 0.146235i | 0.715733 | − | 0.698374i | \(-0.246093\pi\) |
0.535384 | + | 0.844609i | \(0.320167\pi\) | |||||||
\(104\) | −23.6025 | − | 35.8859i | −0.226947 | − | 0.345057i | ||||
\(105\) | 20.6278 | + | 29.0115i | 0.196455 | + | 0.276300i | ||||
\(106\) | 6.74167 | + | 22.5188i | 0.0636007 | + | 0.212441i | ||||
\(107\) | 153.633 | + | 88.7002i | 1.43583 | + | 0.828974i | 0.997556 | − | 0.0698694i | \(-0.0222583\pi\) |
0.438269 | + | 0.898844i | \(0.355592\pi\) | |||||||
\(108\) | −50.8793 | + | 18.0913i | −0.471105 | + | 0.167512i | ||||
\(109\) | −16.4515 | − | 28.4948i | −0.150931 | − | 0.261420i | 0.780639 | − | 0.624982i | \(-0.214894\pi\) |
−0.931570 | + | 0.363562i | \(0.881560\pi\) | |||||||
\(110\) | −88.0896 | − | 83.1083i | −0.800815 | − | 0.755530i | ||||
\(111\) | 194.910 | + | 15.6357i | 1.75594 | + | 0.140862i | ||||
\(112\) | −0.298908 | − | 5.13206i | −0.00266883 | − | 0.0458220i | ||||
\(113\) | 25.9180 | − | 11.1799i | 0.229362 | − | 0.0989373i | −0.278297 | − | 0.960495i | \(-0.589770\pi\) |
0.507660 | + | 0.861558i | \(0.330511\pi\) | |||||||
\(114\) | −87.3866 | − | 12.1566i | −0.766549 | − | 0.106637i | ||||
\(115\) | −15.5953 | + | 267.761i | −0.135611 | + | 2.32836i | ||||
\(116\) | 7.10867 | + | 19.5309i | 0.0612816 | + | 0.168370i | ||||
\(117\) | −33.4353 | − | 132.520i | −0.285772 | − | 1.13265i | ||||
\(118\) | −93.5210 | − | 34.0389i | −0.792551 | − | 0.288465i | ||||
\(119\) | −0.564450 | − | 0.243480i | −0.00474328 | − | 0.00204605i | ||||
\(120\) | −68.6868 | + | 37.6780i | −0.572390 | + | 0.313983i | ||||
\(121\) | 34.0283 | − | 8.06486i | 0.281226 | − | 0.0666517i | ||||
\(122\) | 24.7428 | + | 104.398i | 0.202810 | + | 0.855722i | ||||
\(123\) | 53.4635 | + | 97.4636i | 0.434662 | + | 0.792387i | ||||
\(124\) | −12.4643 | + | 28.8955i | −0.100519 | + | 0.233028i | ||||
\(125\) | 111.290 | − | 305.767i | 0.890320 | − | 2.44613i | ||||
\(126\) | 4.46477 | − | 15.7367i | 0.0354347 | − | 0.124894i | ||||
\(127\) | −227.754 | + | 82.8957i | −1.79334 | + | 0.652722i | −0.794366 | + | 0.607440i | \(0.792197\pi\) |
−0.998974 | + | 0.0452829i | \(0.985581\pi\) | |||||||
\(128\) | 11.2946 | + | 0.657834i | 0.0882388 | + | 0.00513933i | ||||
\(129\) | −13.2874 | + | 95.5152i | −0.103003 | + | 0.740428i | ||||
\(130\) | −78.5355 | − | 182.066i | −0.604119 | − | 1.40051i | ||||
\(131\) | 136.773 | − | 7.96613i | 1.04407 | − | 0.0608101i | 0.472473 | − | 0.881345i | \(-0.343361\pi\) |
0.571597 | + | 0.820535i | \(0.306324\pi\) | |||||||
\(132\) | −4.45004 | + | 55.4729i | −0.0337124 | + | 0.420249i | ||||
\(133\) | 18.3407 | − | 19.4400i | 0.137900 | − | 0.146165i | ||||
\(134\) | −48.4595 | + | 27.9781i | −0.361638 | + | 0.208792i | ||||
\(135\) | −245.811 | + | 41.4611i | −1.82082 | + | 0.307119i | ||||
\(136\) | 0.676439 | − | 1.17163i | 0.00497381 | − | 0.00861490i | ||||
\(137\) | 69.5450 | − | 20.8204i | 0.507628 | − | 0.151974i | −0.0227399 | − | 0.999741i | \(-0.507239\pi\) |
0.530368 | + | 0.847768i | \(0.322054\pi\) | |||||||
\(138\) | 100.448 | − | 71.4205i | 0.727885 | − | 0.517540i | ||||
\(139\) | 66.1114 | − | 43.4822i | 0.475622 | − | 0.312821i | −0.288968 | − | 0.957339i | \(-0.593312\pi\) |
0.764590 | + | 0.644517i | \(0.222942\pi\) | |||||||
\(140\) | 2.75507 | − | 23.5711i | 0.0196791 | − | 0.168365i | ||||
\(141\) | 29.6278 | − | 6.34095i | 0.210126 | − | 0.0449713i | ||||
\(142\) | 112.878 | − | 56.6897i | 0.794919 | − | 0.399223i | ||||
\(143\) | −138.712 | − | 24.4586i | −0.970011 | − | 0.171039i | ||||
\(144\) | 33.2582 | + | 13.7802i | 0.230959 | + | 0.0956960i | ||||
\(145\) | 16.6612 | + | 94.4904i | 0.114905 | + | 0.651658i | ||||
\(146\) | 144.827 | − | 107.820i | 0.991967 | − | 0.738492i | ||||
\(147\) | −88.9032 | − | 110.783i | −0.604784 | − | 0.753629i | ||||
\(148\) | −89.4565 | − | 94.8183i | −0.604436 | − | 0.640664i | ||||
\(149\) | −269.084 | − | 80.5586i | −1.80593 | − | 0.540661i | −0.807169 | − | 0.590321i | \(-0.799001\pi\) |
−0.998766 | + | 0.0496594i | \(0.984186\pi\) | |||||||
\(150\) | −242.030 | + | 82.1435i | −1.61354 | + | 0.547624i | ||||
\(151\) | −132.995 | + | 15.5449i | −0.880764 | + | 0.102947i | −0.544440 | − | 0.838800i | \(-0.683258\pi\) |
−0.336324 | + | 0.941746i | \(0.609184\pi\) | |||||||
\(152\) | 37.8080 | + | 45.0578i | 0.248737 | + | 0.296433i | ||||
\(153\) | 3.25740 | − | 2.81440i | 0.0212902 | − | 0.0183948i | ||||
\(154\) | −12.9139 | − | 10.8361i | −0.0838567 | − | 0.0703641i | ||||
\(155\) | −79.8289 | + | 121.374i | −0.515025 | + | 0.783058i | ||||
\(156\) | −42.6632 | + | 80.5096i | −0.273482 | + | 0.516087i | ||||
\(157\) | 33.7863 | − | 45.3829i | 0.215199 | − | 0.289063i | −0.681395 | − | 0.731916i | \(-0.738626\pi\) |
0.896594 | + | 0.442853i | \(0.146034\pi\) | |||||||
\(158\) | −75.4282 | + | 150.190i | −0.477393 | + | 0.950568i | ||||
\(159\) | 35.0040 | − | 35.5130i | 0.220151 | − | 0.223352i | ||||
\(160\) | 50.8203 | + | 12.0446i | 0.317627 | + | 0.0752790i | ||||
\(161\) | 37.3353i | 0.231897i | ||||||||
\(162\) | 85.5561 | + | 76.1718i | 0.528124 | + | 0.470197i | ||||
\(163\) | 76.9281 | 0.471951 | 0.235976 | − | 0.971759i | \(-0.424171\pi\) | ||||
0.235976 | + | 0.971759i | \(0.424171\pi\) | |||||||
\(164\) | 17.0908 | − | 72.1119i | 0.104212 | − | 0.439706i | ||||
\(165\) | −64.6992 | + | 248.625i | −0.392116 | + | 1.50682i | ||||
\(166\) | 54.6868 | + | 27.4648i | 0.329439 | + | 0.165450i | ||||
\(167\) | 78.1853 | + | 58.2068i | 0.468175 | + | 0.348544i | 0.805251 | − | 0.592934i | \(-0.202030\pi\) |
−0.337076 | + | 0.941478i | \(0.609438\pi\) | |||||||
\(168\) | −9.24003 | + | 5.79181i | −0.0550002 | + | 0.0344751i | ||||
\(169\) | −51.4740 | − | 33.8550i | −0.304580 | − | 0.200325i | ||||
\(170\) | 4.01445 | − | 4.78423i | 0.0236144 | − | 0.0281425i | ||||
\(171\) | 66.5446 | + | 174.931i | 0.389150 | + | 1.02299i | ||||
\(172\) | 49.2490 | − | 41.3248i | 0.286331 | − | 0.240261i | ||||
\(173\) | 4.06737 | + | 34.7986i | 0.0235108 | + | 0.201148i | 0.999889 | − | 0.0149224i | \(-0.00475011\pi\) |
−0.976378 | + | 0.216070i | \(0.930676\pi\) | |||||||
\(174\) | 29.0725 | − | 33.1472i | 0.167084 | − | 0.190501i | ||||
\(175\) | 22.2054 | − | 74.1712i | 0.126888 | − | 0.423836i | ||||
\(176\) | 26.9861 | − | 25.4601i | 0.153330 | − | 0.144659i | ||||
\(177\) | 32.1050 | + | 208.665i | 0.181384 | + | 1.17890i | ||||
\(178\) | 68.9004 | + | 92.5493i | 0.387081 | + | 0.519940i | ||||
\(179\) | 111.920 | − | 19.7345i | 0.625251 | − | 0.110249i | 0.147959 | − | 0.988994i | \(-0.452730\pi\) |
0.477292 | + | 0.878745i | \(0.341619\pi\) | |||||||
\(180\) | 140.153 | + | 89.3085i | 0.778626 | + | 0.496158i | ||||
\(181\) | 29.1494 | − | 165.315i | 0.161047 | − | 0.913340i | −0.792001 | − | 0.610520i | \(-0.790961\pi\) |
0.953048 | − | 0.302821i | \(-0.0979283\pi\) | |||||||
\(182\) | −12.3872 | − | 24.6649i | −0.0680615 | − | 0.135522i | ||||
\(183\) | 168.924 | − | 152.528i | 0.923081 | − | 0.833489i | ||||
\(184\) | −81.6115 | − | 9.53902i | −0.443541 | − | 0.0518425i | ||||
\(185\) | −330.681 | − | 502.776i | −1.78747 | − | 2.71771i | ||||
\(186\) | 66.4585 | − | 6.29804i | 0.357304 | − | 0.0338604i | ||||
\(187\) | −1.27239 | − | 4.25008i | −0.00680422 | − | 0.0227277i | ||||
\(188\) | −17.4930 | − | 10.0996i | −0.0930478 | − | 0.0537212i | ||||
\(189\) | −33.8233 | + | 7.75113i | −0.178959 | + | 0.0410112i | ||||
\(190\) | 135.764 | + | 235.151i | 0.714549 | + | 1.23763i | ||||
\(191\) | 65.3364 | + | 61.6418i | 0.342076 | + | 0.322732i | 0.838038 | − | 0.545613i | \(-0.183703\pi\) |
−0.495962 | + | 0.868344i | \(0.665184\pi\) | |||||||
\(192\) | −10.2996 | − | 21.6776i | −0.0536436 | − | 0.112904i | ||||
\(193\) | 16.5515 | + | 284.178i | 0.0857591 | + | 1.47243i | 0.717126 | + | 0.696943i | \(0.245457\pi\) |
−0.631367 | + | 0.775484i | \(0.717506\pi\) | |||||||
\(194\) | 182.068 | − | 78.5364i | 0.938494 | − | 0.404827i | ||||
\(195\) | −258.495 | + | 331.815i | −1.32562 | + | 1.70162i | ||||
\(196\) | −5.50612 | + | 94.5364i | −0.0280924 | + | 0.482328i | ||||
\(197\) | 95.3202 | + | 261.890i | 0.483859 | + | 1.32939i | 0.906160 | + | 0.422936i | \(0.139000\pi\) |
−0.422301 | + | 0.906456i | \(0.638777\pi\) | |||||||
\(198\) | 107.713 | − | 48.3186i | 0.544003 | − | 0.244033i | ||||
\(199\) | −218.760 | − | 79.6221i | −1.09930 | − | 0.400111i | −0.272240 | − | 0.962229i | \(-0.587764\pi\) |
−0.827057 | + | 0.562118i | \(0.809987\pi\) | |||||||
\(200\) | 156.458 | + | 67.4893i | 0.782289 | + | 0.337447i | ||||
\(201\) | 101.476 | + | 61.5845i | 0.504854 | + | 0.306391i | ||||
\(202\) | −215.273 | + | 51.0207i | −1.06571 | + | 0.252578i | ||||
\(203\) | 3.08009 | + | 12.9959i | 0.0151728 | + | 0.0640192i | ||||
\(204\) | −2.86920 | − | 0.0627622i | −0.0140647 | − | 0.000307658i | ||||
\(205\) | 135.505 | − | 314.137i | 0.661001 | − | 1.53237i | ||||
\(206\) | −62.7550 | + | 172.418i | −0.304636 | + | 0.836980i | ||||
\(207\) | −235.313 | − | 113.955i | −1.13678 | − | 0.550510i | ||||
\(208\) | 57.0801 | − | 20.7754i | 0.274423 | − | 0.0998819i | ||||
\(209\) | 192.556 | + | 11.2151i | 0.921322 | + | 0.0536609i | ||||
\(210\) | −46.6501 | + | 18.9239i | −0.222143 | + | 0.0901138i | ||||
\(211\) | −53.3102 | − | 123.587i | −0.252655 | − | 0.585720i | 0.743933 | − | 0.668254i | \(-0.232958\pi\) |
−0.996588 | + | 0.0825340i | \(0.973699\pi\) | |||||||
\(212\) | −33.1866 | + | 1.93290i | −0.156541 | + | 0.00911746i | ||||
\(213\) | −220.598 | − | 152.103i | −1.03567 | − | 0.714099i | ||||
\(214\) | −172.166 | + | 182.485i | −0.804513 | + | 0.852734i | ||||
\(215\) | 257.024 | − | 148.393i | 1.19546 | − | 0.690200i | ||||
\(216\) | −8.30151 | − | 75.9150i | −0.0384329 | − | 0.351458i | ||||
\(217\) | −10.1110 | + | 17.5127i | −0.0465943 | + | 0.0807037i | ||||
\(218\) | 44.5769 | − | 13.3455i | 0.204481 | − | 0.0612177i | ||||
\(219\) | −348.288 | − | 159.359i | −1.59036 | − | 0.727668i | ||||
\(220\) | 143.094 | − | 94.1146i | 0.650429 | − | 0.427794i | ||||
\(221\) | 0.843252 | − | 7.21449i | 0.00381562 | − | 0.0326447i | ||||
\(222\) | −85.0839 | + | 263.114i | −0.383261 | + | 1.18520i | ||||
\(223\) | −166.127 | + | 83.4320i | −0.744963 | + | 0.374135i | −0.780436 | − | 0.625236i | \(-0.785003\pi\) |
0.0354724 | + | 0.999371i | \(0.488706\pi\) | |||||||
\(224\) | 7.15968 | + | 1.26244i | 0.0319629 | + | 0.00563591i | ||||
\(225\) | 399.703 | + | 366.341i | 1.77646 | + | 1.62818i | ||||
\(226\) | 6.93172 | + | 39.3117i | 0.0306713 | + | 0.173946i | ||||
\(227\) | 79.2204 | − | 58.9774i | 0.348989 | − | 0.259812i | −0.408363 | − | 0.912820i | \(-0.633900\pi\) |
0.757352 | + | 0.653007i | \(0.226493\pi\) | |||||||
\(228\) | 45.2289 | − | 116.287i | 0.198373 | − | 0.510032i | ||||
\(229\) | −173.425 | − | 183.820i | −0.757314 | − | 0.802706i | 0.227963 | − | 0.973670i | \(-0.426793\pi\) |
−0.985277 | + | 0.170964i | \(0.945312\pi\) | |||||||
\(230\) | −363.378 | − | 108.788i | −1.57990 | − | 0.472992i | ||||
\(231\) | −6.97855 | + | 35.0736i | −0.0302102 | + | 0.151834i | ||||
\(232\) | −29.1948 | + | 3.41238i | −0.125839 | + | 0.0147085i | ||||
\(233\) | 53.6571 | + | 63.9461i | 0.230288 | + | 0.274447i | 0.868798 | − | 0.495167i | \(-0.164893\pi\) |
−0.638510 | + | 0.769614i | \(0.720449\pi\) | |||||||
\(234\) | 193.264 | − | 2.79009i | 0.825914 | − | 0.0119235i | ||||
\(235\) | −71.4310 | − | 59.9378i | −0.303962 | − | 0.255054i | ||||
\(236\) | 77.3416 | − | 117.592i | 0.327719 | − | 0.498272i | ||||
\(237\) | 356.288 | − | 12.9413i | 1.50333 | − | 0.0546047i | ||||
\(238\) | 0.519141 | − | 0.697327i | 0.00218126 | − | 0.00292995i | ||||
\(239\) | −53.7072 | + | 106.940i | −0.224716 | + | 0.447447i | −0.977533 | − | 0.210783i | \(-0.932399\pi\) |
0.752816 | + | 0.658231i | \(0.228695\pi\) | |||||||
\(240\) | −29.4469 | − | 106.808i | −0.122696 | − | 0.445032i | ||||
\(241\) | −27.5511 | − | 6.52973i | −0.114320 | − | 0.0270943i | 0.173058 | − | 0.984912i | \(-0.444635\pi\) |
−0.287378 | + | 0.957817i | \(0.592783\pi\) | |||||||
\(242\) | 49.4564i | 0.204365i | ||||||||
\(243\) | 54.3831 | − | 236.836i | 0.223799 | − | 0.974635i | ||||
\(244\) | −151.731 | −0.621849 | ||||||||
\(245\) | −100.815 | + | 425.370i | −0.411488 | + | 1.73620i | ||||
\(246\) | −151.556 | + | 41.7839i | −0.616079 | + | 0.169853i | ||||
\(247\) | 282.207 | + | 141.730i | 1.14254 | + | 0.573805i | ||||
\(248\) | −35.6978 | − | 26.5760i | −0.143943 | − | 0.107161i | ||||
\(249\) | −4.71217 | − | 129.731i | −0.0189244 | − | 0.521008i | ||||
\(250\) | 384.467 | + | 252.868i | 1.53787 | + | 1.01147i | ||||
\(251\) | −273.161 | + | 325.540i | −1.08829 | + | 1.29697i | −0.136358 | + | 0.990660i | \(0.543540\pi\) |
−0.951931 | + | 0.306313i | \(0.900905\pi\) | |||||||
\(252\) | 20.1990 | + | 11.2763i | 0.0801548 | + | 0.0447472i | ||||
\(253\) | −206.409 | + | 173.198i | −0.815847 | + | 0.684577i | ||||
\(254\) | −39.7925 | − | 340.447i | −0.156663 | − | 1.34034i | ||||
\(255\) | −12.9937 | − | 2.58535i | −0.0509558 | − | 0.0101386i | ||||
\(256\) | −4.58885 | + | 15.3278i | −0.0179252 | + | 0.0598743i | ||||
\(257\) | 42.8142 | − | 40.3931i | 0.166592 | − | 0.157172i | −0.598431 | − | 0.801174i | \(-0.704209\pi\) |
0.765023 | + | 0.644003i | \(0.222727\pi\) | |||||||
\(258\) | −127.104 | − | 49.4361i | −0.492652 | − | 0.191613i | ||||
\(259\) | −50.0221 | − | 67.1913i | −0.193135 | − | 0.259426i | ||||
\(260\) | 276.153 | − | 48.6932i | 1.06213 | − | 0.187282i | ||||
\(261\) | −91.3104 | − | 20.2534i | −0.349848 | − | 0.0775994i | ||||
\(262\) | −33.6451 | + | 190.811i | −0.128416 | + | 0.728285i | ||||
\(263\) | 117.631 | + | 234.223i | 0.447267 | + | 0.890581i | 0.998421 | + | 0.0561776i | \(0.0178913\pi\) |
−0.551154 | + | 0.834403i | \(0.685812\pi\) | |||||||
\(264\) | −74.8845 | − | 24.2156i | −0.283654 | − | 0.0917258i | ||||
\(265\) | −152.423 | − | 17.8157i | −0.575183 | − | 0.0672292i | ||||
\(266\) | 20.7696 | + | 31.5786i | 0.0780811 | + | 0.118717i | ||||
\(267\) | 101.836 | − | 222.568i | 0.381407 | − | 0.833586i | ||||
\(268\) | −22.6959 | − | 75.8096i | −0.0846863 | − | 0.282872i | ||||
\(269\) | −363.749 | − | 210.011i | −1.35223 | − | 0.780709i | −0.363666 | − | 0.931529i | \(-0.618475\pi\) |
−0.988561 | + | 0.150821i | \(0.951808\pi\) | |||||||
\(270\) | 23.1146 | − | 351.781i | 0.0856096 | − | 1.30289i | ||||
\(271\) | −10.8189 | − | 18.7390i | −0.0399223 | − | 0.0691475i | 0.845374 | − | 0.534175i | \(-0.179378\pi\) |
−0.885296 | + | 0.465028i | \(0.846044\pi\) | |||||||
\(272\) | 1.39165 | + | 1.31296i | 0.00511637 | + | 0.00482705i | ||||
\(273\) | −33.2359 | + | 48.2025i | −0.121743 | + | 0.176566i | ||||
\(274\) | 5.96941 | + | 102.491i | 0.0217862 | + | 0.374054i | ||||
\(275\) | 513.068 | − | 221.316i | 1.86570 | − | 0.804785i | ||||
\(276\) | 65.5212 | + | 161.519i | 0.237396 | + | 0.585214i | ||||
\(277\) | 0.735914 | − | 12.6352i | 0.00265673 | − | 0.0456143i | −0.996719 | − | 0.0809368i | \(-0.974209\pi\) |
0.999376 | + | 0.0353225i | \(0.0112458\pi\) | |||||||
\(278\) | 38.2739 | + | 105.157i | 0.137676 | + | 0.378262i | ||||
\(279\) | −79.5165 | − | 117.179i | −0.285005 | − | 0.419996i | ||||
\(280\) | 31.5375 | + | 11.4787i | 0.112634 | + | 0.0409954i | ||||
\(281\) | −231.321 | − | 99.7821i | −0.823206 | − | 0.355096i | −0.0575468 | − | 0.998343i | \(-0.518328\pi\) |
−0.765659 | + | 0.643246i | \(0.777587\pi\) | |||||||
\(282\) | −0.937073 | + | 42.8386i | −0.00332295 | + | 0.151910i | ||||
\(283\) | 412.784 | − | 97.8317i | 1.45860 | − | 0.345695i | 0.576633 | − | 0.817003i | \(-0.304366\pi\) |
0.881969 | + | 0.471308i | \(0.156218\pi\) | |||||||
\(284\) | 41.1961 | + | 173.820i | 0.145057 | + | 0.612042i | ||||
\(285\) | 298.840 | − | 492.412i | 1.04856 | − | 1.72776i | ||||
\(286\) | 78.8967 | − | 182.903i | 0.275863 | − | 0.639521i | ||||
\(287\) | 16.2878 | − | 44.7504i | 0.0567519 | − | 0.155925i | ||||
\(288\) | −29.8097 | + | 41.2721i | −0.103506 | + | 0.143306i | ||||
\(289\) | −271.356 | + | 98.7656i | −0.938949 | + | 0.341749i | ||||
\(290\) | −135.461 | − | 7.88973i | −0.467109 | − | 0.0272060i | ||||
\(291\) | −331.819 | − | 258.498i | −1.14027 | − | 0.888309i | ||||
\(292\) | 101.136 | + | 234.460i | 0.346357 | + | 0.802946i | ||||
\(293\) | −105.493 | + | 6.14426i | −0.360044 | + | 0.0209702i | −0.237214 | − | 0.971458i | \(-0.576234\pi\) |
−0.122830 | + | 0.992428i | \(0.539197\pi\) | |||||||
\(294\) | 181.443 | − | 86.2082i | 0.617154 | − | 0.293225i | ||||
\(295\) | 445.877 | − | 472.602i | 1.51145 | − | 1.60204i | ||||
\(296\) | 159.654 | − | 92.1764i | 0.539372 | − | 0.311407i | ||||
\(297\) | −199.758 | − | 151.036i | −0.672587 | − | 0.508538i | ||||
\(298\) | 198.615 | − | 344.012i | 0.666494 | − | 1.15440i | ||||
\(299\) | −422.622 | + | 126.525i | −1.41345 | + | 0.423160i | ||||
\(300\) | −34.1014 | − | 359.847i | −0.113671 | − | 1.19949i | ||||
\(301\) | 34.5160 | − | 22.7015i | 0.114671 | − | 0.0754204i | ||||
\(302\) | 21.9839 | − | 188.084i | 0.0727942 | − | 0.622794i | ||||
\(303\) | 314.520 | + | 348.328i | 1.03802 | + | 1.14960i | ||||
\(304\) | −74.3344 | + | 37.3321i | −0.244521 | + | 0.122803i | ||||
\(305\) | −689.804 | − | 121.631i | −2.26165 | − | 0.398790i | ||||
\(306\) | 2.81051 | + | 5.40038i | 0.00918469 | + | 0.0176483i | ||||
\(307\) | −41.8453 | − | 237.317i | −0.136304 | − | 0.773018i | −0.973943 | − | 0.226794i | \(-0.927176\pi\) |
0.837639 | − | 0.546224i | \(-0.183935\pi\) | |||||||
\(308\) | 19.1232 | − | 14.2367i | 0.0620883 | − | 0.0462231i | ||||
\(309\) | 384.700 | − | 59.1896i | 1.24498 | − | 0.191552i | ||||
\(310\) | −140.986 | − | 149.437i | −0.454795 | − | 0.482055i | ||||
\(311\) | −199.675 | − | 59.7789i | −0.642043 | − | 0.192215i | −0.0508004 | − | 0.998709i | \(-0.516177\pi\) |
−0.591243 | + | 0.806494i | \(0.701362\pi\) | |||||||
\(312\) | −96.8745 | − | 84.9660i | −0.310495 | − | 0.272327i | ||||
\(313\) | −11.5518 | + | 1.35021i | −0.0369067 | + | 0.00431377i | −0.134526 | − | 0.990910i | \(-0.542951\pi\) |
0.0976195 | + | 0.995224i | \(0.468877\pi\) | |||||||
\(314\) | 51.4320 | + | 61.2943i | 0.163796 | + | 0.195205i | ||||
\(315\) | 82.7899 | + | 67.4566i | 0.262825 | + | 0.214148i | ||||
\(316\) | −182.075 | − | 152.779i | −0.576187 | − | 0.483478i | ||||
\(317\) | −251.024 | + | 381.663i | −0.791873 | + | 1.20398i | 0.183413 | + | 0.983036i | \(0.441286\pi\) |
−0.975286 | + | 0.220948i | \(0.929085\pi\) | |||||||
\(318\) | 37.4530 | + | 59.7510i | 0.117777 | + | 0.187896i | ||||
\(319\) | −57.5597 | + | 77.3161i | −0.180438 | + | 0.242370i | ||||
\(320\) | −33.1491 | + | 66.0053i | −0.103591 | + | 0.206267i | ||||
\(321\) | 515.048 | + | 134.030i | 1.60451 | + | 0.417539i | ||||
\(322\) | −51.3769 | − | 12.1766i | −0.159556 | − | 0.0378154i | ||||
\(323\) | 9.94682i | 0.0307951i | ||||||||
\(324\) | −132.723 | + | 92.8905i | −0.409638 | + | 0.286699i | ||||
\(325\) | 914.842 | 2.81490 | ||||||||
\(326\) | −25.0893 | + | 105.860i | −0.0769611 | + | 0.324725i | ||||
\(327\) | −70.2996 | − | 69.2920i | −0.214983 | − | 0.211902i | ||||
\(328\) | 93.6586 | + | 47.0371i | 0.285545 | + | 0.143406i | ||||
\(329\) | −10.4115 | − | 7.75104i | −0.0316458 | − | 0.0235594i | ||||
\(330\) | −321.030 | − | 170.119i | −0.972819 | − | 0.515511i | ||||
\(331\) | −26.1929 | − | 17.2273i | −0.0791326 | − | 0.0520464i | 0.509326 | − | 0.860574i | \(-0.329895\pi\) |
−0.588459 | + | 0.808527i | \(0.700265\pi\) | |||||||
\(332\) | −55.6296 | + | 66.2968i | −0.167559 | + | 0.199689i | ||||
\(333\) | 576.165 | − | 110.192i | 1.73022 | − | 0.330906i | ||||
\(334\) | −105.597 | + | 88.6067i | −0.316160 | + | 0.265290i | ||||
\(335\) | −42.4101 | − | 362.841i | −0.126597 | − | 1.08311i | ||||
\(336\) | −4.95653 | − | 14.6041i | −0.0147516 | − | 0.0434645i | ||||
\(337\) | 51.5282 | − | 172.116i | 0.152903 | − | 0.510731i | −0.846876 | − | 0.531791i | \(-0.821519\pi\) |
0.999778 | + | 0.0210607i | \(0.00670431\pi\) | |||||||
\(338\) | 63.3753 | − | 59.7915i | 0.187501 | − | 0.176898i | ||||
\(339\) | 66.0429 | − | 52.9991i | 0.194817 | − | 0.156340i | ||||
\(340\) | 5.27427 | + | 7.08458i | 0.0155126 | + | 0.0208370i | ||||
\(341\) | −143.724 | + | 25.3424i | −0.421478 | + | 0.0743180i | ||||
\(342\) | −262.424 | + | 34.5197i | −0.767321 | + | 0.100935i | ||||
\(343\) | −21.5021 | + | 121.945i | −0.0626884 | + | 0.355524i | ||||
\(344\) | 40.8047 | + | 81.2489i | 0.118618 | + | 0.236189i | ||||
\(345\) | 168.397 | + | 786.826i | 0.488106 | + | 2.28065i | ||||
\(346\) | −49.2126 | − | 5.75213i | −0.142233 | − | 0.0166246i | ||||
\(347\) | 236.896 | + | 360.183i | 0.682699 | + | 1.03799i | 0.996088 | + | 0.0883681i | \(0.0281652\pi\) |
−0.313389 | + | 0.949625i | \(0.601464\pi\) | |||||||
\(348\) | 36.1320 | + | 50.8172i | 0.103827 | + | 0.146026i | ||||
\(349\) | −71.6709 | − | 239.397i | −0.205361 | − | 0.685952i | −0.997170 | − | 0.0751836i | \(-0.976046\pi\) |
0.791809 | − | 0.610769i | \(-0.209139\pi\) | |||||||
\(350\) | 94.8244 | + | 54.7469i | 0.270927 | + | 0.156420i | ||||
\(351\) | −202.363 | − | 356.600i | −0.576532 | − | 1.01595i | ||||
\(352\) | 26.2342 | + | 45.4389i | 0.0745289 | + | 0.129088i | ||||
\(353\) | −146.063 | − | 137.803i | −0.413776 | − | 0.390378i | 0.451009 | − | 0.892519i | \(-0.351064\pi\) |
−0.864786 | + | 0.502141i | \(0.832546\pi\) | |||||||
\(354\) | −297.613 | − | 23.8745i | −0.840714 | − | 0.0674421i | ||||
\(355\) | 47.9488 | + | 823.249i | 0.135067 | + | 2.31901i | ||||
\(356\) | −149.828 | + | 64.6293i | −0.420864 | + | 0.181543i | ||||
\(357\) | −1.82658 | − | 0.254102i | −0.00511648 | − | 0.000711771i | ||||
\(358\) | −9.34505 | + | 160.448i | −0.0261035 | + | 0.448180i | ||||
\(359\) | 47.7911 | + | 131.305i | 0.133123 | + | 0.365752i | 0.988287 | − | 0.152605i | \(-0.0487661\pi\) |
−0.855164 | + | 0.518357i | \(0.826544\pi\) | |||||||
\(360\) | −168.606 | + | 163.736i | −0.468351 | + | 0.454822i | ||||
\(361\) | −67.1462 | − | 24.4392i | −0.186001 | − | 0.0676987i | ||||
\(362\) | 217.982 | + | 94.0281i | 0.602159 | + | 0.259746i | ||||
\(363\) | 91.9827 | − | 50.4569i | 0.253396 | − | 0.139000i | ||||
\(364\) | 37.9812 | − | 9.00171i | 0.104344 | − | 0.0247300i | ||||
\(365\) | 271.840 | + | 1146.98i | 0.744767 | + | 3.14242i | ||||
\(366\) | 154.801 | + | 282.201i | 0.422952 | + | 0.771040i | ||||
\(367\) | 147.218 | − | 341.290i | 0.401140 | − | 0.929946i | −0.591213 | − | 0.806515i | \(-0.701351\pi\) |
0.992353 | − | 0.123431i | \(-0.0393898\pi\) | |||||||
\(368\) | 39.7434 | − | 109.194i | 0.107998 | − | 0.296723i | ||||
\(369\) | 232.334 | + | 239.245i | 0.629632 | + | 0.648360i | ||||
\(370\) | 799.715 | − | 291.073i | 2.16139 | − | 0.786682i | ||||
\(371\) | −21.3256 | − | 1.24207i | −0.0574813 | − | 0.00334790i | ||||
\(372\) | −13.0081 | + | 93.5071i | −0.0349680 | + | 0.251363i | ||||
\(373\) | 144.432 | + | 334.831i | 0.387217 | + | 0.897670i | 0.994650 | + | 0.103299i | \(0.0329399\pi\) |
−0.607433 | + | 0.794371i | \(0.707801\pi\) | |||||||
\(374\) | 6.26348 | − | 0.364806i | 0.0167473 | − | 0.000975417i | ||||
\(375\) | 78.0576 | − | 973.044i | 0.208154 | − | 2.59478i | ||||
\(376\) | 19.6031 | − | 20.7781i | 0.0521360 | − | 0.0552609i | ||||
\(377\) | −136.671 | + | 78.9069i | −0.362522 | + | 0.209302i | ||||
\(378\) | 0.364873 | − | 49.0720i | 0.000965272 | − | 0.129820i | ||||
\(379\) | −323.872 | + | 560.962i | −0.854543 | + | 1.48011i | 0.0225260 | + | 0.999746i | \(0.492829\pi\) |
−0.877069 | + | 0.480365i | \(0.840504\pi\) | |||||||
\(380\) | −367.867 | + | 110.132i | −0.968072 | + | 0.289822i | ||||
\(381\) | −592.590 | + | 421.343i | −1.55536 | + | 1.10589i | ||||
\(382\) | −106.134 | + | 69.8052i | −0.277837 | + | 0.182736i | ||||
\(383\) | −40.5347 | + | 346.797i | −0.105835 | + | 0.905475i | 0.831136 | + | 0.556069i | \(0.187691\pi\) |
−0.936971 | + | 0.349406i | \(0.886383\pi\) | |||||||
\(384\) | 33.1895 | − | 7.10323i | 0.0864310 | − | 0.0184980i | ||||
\(385\) | 98.3509 | − | 49.3937i | 0.255457 | − | 0.128295i | ||||
\(386\) | −396.454 | − | 69.9056i | −1.02708 | − | 0.181102i | ||||
\(387\) | 37.7307 | + | 286.834i | 0.0974954 | + | 0.741174i | ||||
\(388\) | 48.6938 | + | 276.156i | 0.125499 | + | 0.711742i | ||||
\(389\) | 362.665 | − | 269.994i | 0.932300 | − | 0.694072i | −0.0198177 | − | 0.999804i | \(-0.506309\pi\) |
0.952118 | + | 0.305732i | \(0.0989012\pi\) | |||||||
\(390\) | −372.303 | − | 463.931i | −0.954623 | − | 1.18957i | ||||
\(391\) | −9.53550 | − | 10.1070i | −0.0243875 | − | 0.0258492i | ||||
\(392\) | −128.295 | − | 38.4090i | −0.327283 | − | 0.0979822i | ||||
\(393\) | 389.210 | − | 132.095i | 0.990355 | − | 0.336120i | ||||
\(394\) | −391.473 | + | 45.7566i | −0.993586 | + | 0.116134i | ||||
\(395\) | −705.283 | − | 840.524i | −1.78553 | − | 2.12791i | ||||
\(396\) | 31.3615 | + | 163.981i | 0.0791957 | + | 0.414094i | ||||
\(397\) | 2.65467 | + | 2.22753i | 0.00668683 | + | 0.00561091i | 0.646125 | − | 0.763232i | \(-0.276389\pi\) |
−0.639438 | + | 0.768843i | \(0.720833\pi\) | |||||||
\(398\) | 180.914 | − | 275.066i | 0.454557 | − | 0.691121i | ||||
\(399\) | 37.5425 | − | 70.8462i | 0.0940914 | − | 0.177559i | ||||
\(400\) | −143.899 | + | 193.290i | −0.359747 | + | 0.483224i | ||||
\(401\) | 74.6610 | − | 148.662i | 0.186187 | − | 0.370729i | −0.781103 | − | 0.624402i | \(-0.785343\pi\) |
0.967290 | + | 0.253674i | \(0.0816389\pi\) | |||||||
\(402\) | −117.841 | + | 119.555i | −0.293138 | + | 0.297400i | ||||
\(403\) | −232.502 | − | 55.1040i | −0.576929 | − | 0.136735i | ||||
\(404\) | − | 312.876i | − | 0.774445i | ||||||
\(405\) | −677.851 | + | 315.908i | −1.67371 | + | 0.780019i | ||||
\(406\) | −18.8881 | −0.0465224 | ||||||||
\(407\) | 139.417 | − | 588.248i | 0.342549 | − | 1.44533i | ||||
\(408\) | 1.02213 | − | 3.92782i | 0.00250521 | − | 0.00962700i | ||||
\(409\) | −63.8997 | − | 32.0917i | −0.156234 | − | 0.0784637i | 0.368964 | − | 0.929444i | \(-0.379713\pi\) |
−0.525198 | + | 0.850980i | \(0.676009\pi\) | |||||||
\(410\) | 388.087 | + | 288.920i | 0.946555 | + | 0.704684i | ||||
\(411\) | 184.530 | − | 115.667i | 0.448978 | − | 0.281427i | ||||
\(412\) | −216.796 | − | 142.589i | −0.526204 | − | 0.346090i | ||||
\(413\) | 58.1357 | − | 69.2834i | 0.140764 | − | 0.167756i | ||||
\(414\) | 233.558 | − | 286.648i | 0.564151 | − | 0.692386i | ||||
\(415\) | −306.050 | + | 256.806i | −0.737470 | + | 0.618811i | ||||
\(416\) | 9.97285 | + | 85.3232i | 0.0239732 | + | 0.205104i | ||||
\(417\) | 156.530 | − | 178.469i | 0.375372 | − | 0.427983i | ||||
\(418\) | −78.2334 | + | 261.318i | −0.187161 | + | 0.625162i | ||||
\(419\) | −75.3841 | + | 71.1212i | −0.179914 | + | 0.169740i | −0.770930 | − | 0.636919i | \(-0.780208\pi\) |
0.591016 | + | 0.806660i | \(0.298727\pi\) | |||||||
\(420\) | −10.8266 | − | 70.3668i | −0.0257775 | − | 0.167540i | ||||
\(421\) | 313.478 | + | 421.074i | 0.744604 | + | 1.00018i | 0.999449 | + | 0.0331946i | \(0.0105681\pi\) |
−0.254845 | + | 0.966982i | \(0.582024\pi\) | |||||||
\(422\) | 187.454 | − | 33.0531i | 0.444203 | − | 0.0783250i | ||||
\(423\) | 80.6305 | − | 41.9624i | 0.190616 | − | 0.0992020i | ||||
\(424\) | 8.16364 | − | 46.2983i | 0.0192539 | − | 0.109194i | ||||
\(425\) | 12.9322 | + | 25.7502i | 0.0304287 | + | 0.0605886i | ||||
\(426\) | 281.254 | − | 253.956i | 0.660220 | − | 0.596141i | ||||
\(427\) | −96.8423 | − | 11.3192i | −0.226797 | − | 0.0265088i | ||||
\(428\) | −194.966 | − | 296.432i | −0.455529 | − | 0.692598i | ||||
\(429\) | −420.669 | + | 39.8654i | −0.980581 | + | 0.0929262i | ||||
\(430\) | 120.377 | + | 402.086i | 0.279946 | + | 0.935084i | ||||
\(431\) | 153.358 | + | 88.5410i | 0.355818 | + | 0.205432i | 0.667245 | − | 0.744839i | \(-0.267474\pi\) |
−0.311427 | + | 0.950270i | \(0.600807\pi\) | |||||||
\(432\) | 107.174 | + | 13.3353i | 0.248087 | + | 0.0308687i | ||||
\(433\) | 209.442 | + | 362.764i | 0.483699 | + | 0.837791i | 0.999825 | − | 0.0187215i | \(-0.00595958\pi\) |
−0.516126 | + | 0.856513i | \(0.672626\pi\) | |||||||
\(434\) | −20.8015 | − | 19.6252i | −0.0479298 | − | 0.0452194i | ||||
\(435\) | 123.528 | + | 259.991i | 0.283972 | + | 0.597679i | ||||
\(436\) | 3.82627 | + | 65.6945i | 0.00877585 | + | 0.150675i | ||||
\(437\) | 554.713 | − | 239.280i | 1.26937 | − | 0.547551i | ||||
\(438\) | 332.884 | − | 427.304i | 0.760009 | − | 0.975580i | ||||
\(439\) | −14.7253 | + | 252.824i | −0.0335429 | + | 0.575909i | 0.939106 | + | 0.343628i | \(0.111656\pi\) |
−0.972649 | + | 0.232281i | \(0.925381\pi\) | |||||||
\(440\) | 82.8417 | + | 227.606i | 0.188277 | + | 0.517286i | ||||
\(441\) | −345.450 | − | 249.509i | −0.783334 | − | 0.565781i | ||||
\(442\) | 9.65279 | + | 3.51333i | 0.0218389 | + | 0.00794870i | ||||
\(443\) | 147.773 | + | 63.7430i | 0.333573 | + | 0.143889i | 0.556278 | − | 0.830997i | \(-0.312229\pi\) |
−0.222704 | + | 0.974886i | \(0.571488\pi\) | |||||||
\(444\) | −334.321 | − | 202.896i | −0.752974 | − | 0.456972i | ||||
\(445\) | −732.959 | + | 173.714i | −1.64710 | + | 0.390369i | ||||
\(446\) | −60.6296 | − | 255.817i | −0.135941 | − | 0.573580i | ||||
\(447\) | −842.452 | − | 18.4282i | −1.88468 | − | 0.0412264i | ||||
\(448\) | −4.07230 | + | 9.44065i | −0.00908996 | + | 0.0210729i | ||||
\(449\) | −200.378 | + | 550.534i | −0.446276 | + | 1.22613i | 0.489022 | + | 0.872272i | \(0.337354\pi\) |
−0.935298 | + | 0.353862i | \(0.884868\pi\) | |||||||
\(450\) | −634.478 | + | 430.551i | −1.40995 | + | 0.956779i | ||||
\(451\) | 322.963 | − | 117.549i | 0.716103 | − | 0.260640i | ||||
\(452\) | −56.3573 | − | 3.28244i | −0.124684 | − | 0.00726204i | ||||
\(453\) | −372.241 | + | 151.002i | −0.821724 | + | 0.333337i | ||||
\(454\) | 55.3215 | + | 128.250i | 0.121853 | + | 0.282488i | ||||
\(455\) | 179.887 | − | 10.4772i | 0.395356 | − | 0.0230269i | ||||
\(456\) | 145.271 | + | 100.165i | 0.318577 | + | 0.219661i | ||||
\(457\) | 419.468 | − | 444.610i | 0.917873 | − | 0.972889i | −0.0818445 | − | 0.996645i | \(-0.526081\pi\) |
0.999718 | + | 0.0237563i | \(0.00756257\pi\) | |||||||
\(458\) | 309.514 | − | 178.698i | 0.675794 | − | 0.390170i | ||||
\(459\) | 7.17665 | − | 10.7368i | 0.0156354 | − | 0.0233918i | ||||
\(460\) | 268.215 | − | 464.562i | 0.583076 | − | 1.00992i | ||||
\(461\) | 199.763 | − | 59.8051i | 0.433325 | − | 0.129729i | −0.0627094 | − | 0.998032i | \(-0.519974\pi\) |
0.496034 | + | 0.868303i | \(0.334789\pi\) | |||||||
\(462\) | −45.9885 | − | 21.0420i | −0.0995423 | − | 0.0455455i | ||||
\(463\) | 192.773 | − | 126.789i | 0.416355 | − | 0.273841i | −0.324000 | − | 0.946057i | \(-0.605028\pi\) |
0.740355 | + | 0.672216i | \(0.234657\pi\) | |||||||
\(464\) | 4.82583 | − | 41.2876i | 0.0104005 | − | 0.0889820i | ||||
\(465\) | −134.095 | + | 414.677i | −0.288377 | + | 0.891779i | ||||
\(466\) | −105.495 | + | 52.9818i | −0.226385 | + | 0.113695i | ||||
\(467\) | 282.995 | + | 49.8997i | 0.605986 | + | 0.106852i | 0.468218 | − | 0.883613i | \(-0.344896\pi\) |
0.137768 | + | 0.990465i | \(0.456007\pi\) | |||||||
\(468\) | −59.1917 | + | 266.859i | −0.126478 | + | 0.570212i | ||||
\(469\) | −8.83021 | − | 50.0786i | −0.0188277 | − | 0.106777i | ||||
\(470\) | 105.776 | − | 78.7477i | 0.225056 | − | 0.167548i | ||||
\(471\) | 61.5271 | − | 158.191i | 0.130631 | − | 0.335863i | ||||
\(472\) | 136.594 | + | 144.781i | 0.289393 | + | 0.306739i | ||||
\(473\) | 285.625 | + | 85.5106i | 0.603859 | + | 0.180784i | ||||
\(474\) | −98.3914 | + | 494.506i | −0.207577 | + | 1.04326i | ||||
\(475\) | −1244.32 | + | 145.440i | −2.61962 | + | 0.306190i | ||||
\(476\) | 0.790274 | + | 0.941812i | 0.00166024 | + | 0.00197860i | ||||
\(477\) | 72.9186 | − | 130.618i | 0.152869 | − | 0.273831i | ||||
\(478\) | −129.643 | − | 108.784i | −0.271220 | − | 0.227581i | ||||
\(479\) | 93.8272 | − | 142.657i | 0.195882 | − | 0.297823i | −0.724169 | − | 0.689622i | \(-0.757777\pi\) |
0.920051 | + | 0.391799i | \(0.128147\pi\) | |||||||
\(480\) | 156.581 | − | 5.68744i | 0.326211 | − | 0.0118488i | ||||
\(481\) | 591.062 | − | 793.934i | 1.22882 | − | 1.65059i | ||||
\(482\) | 17.9710 | − | 35.7833i | 0.0372843 | − | 0.0742392i | ||||
\(483\) | 29.7694 | + | 107.977i | 0.0616344 | + | 0.223556i | ||||
\(484\) | −68.0566 | − | 16.1297i | −0.140613 | − | 0.0333259i | ||||
\(485\) | 1294.50i | 2.66908i | ||||||||
\(486\) | 308.172 | + | 152.078i | 0.634100 | + | 0.312918i | ||||
\(487\) | 319.557 | 0.656174 | 0.328087 | − | 0.944647i | \(-0.393596\pi\) | ||||
0.328087 | + | 0.944647i | \(0.393596\pi\) | |||||||
\(488\) | 49.4856 | − | 208.796i | 0.101405 | − | 0.427861i | ||||
\(489\) | 222.483 | − | 61.3388i | 0.454976 | − | 0.125437i | ||||
\(490\) | −552.469 | − | 277.460i | −1.12749 | − | 0.566246i | ||||
\(491\) | 147.406 | + | 109.740i | 0.300217 | + | 0.223503i | 0.736717 | − | 0.676201i | \(-0.236375\pi\) |
−0.436501 | + | 0.899704i | \(0.643782\pi\) | |||||||
\(492\) | −8.07023 | − | 222.182i | −0.0164029 | − | 0.451589i | ||||
\(493\) | −4.15298 | − | 2.73146i | −0.00842390 | − | 0.00554048i | ||||
\(494\) | −287.073 | + | 342.120i | −0.581119 | + | 0.692550i | ||||
\(495\) | 11.1254 | + | 770.636i | 0.0224756 | + | 1.55684i | ||||
\(496\) | 48.2136 | − | 40.4560i | 0.0972049 | − | 0.0815646i | ||||
\(497\) | 13.3263 | + | 114.014i | 0.0268135 | + | 0.229404i | ||||
\(498\) | 180.059 | + | 35.8261i | 0.361564 | + | 0.0719399i | ||||
\(499\) | −202.950 | + | 677.900i | −0.406713 | + | 1.35852i | 0.472182 | + | 0.881501i | \(0.343467\pi\) |
−0.878895 | + | 0.477015i | \(0.841719\pi\) | |||||||
\(500\) | −473.360 | + | 446.592i | −0.946721 | + | 0.893185i | ||||
\(501\) | 272.531 | + | 105.999i | 0.543974 | + | 0.211574i | ||||
\(502\) | −358.885 | − | 482.066i | −0.714910 | − | 0.960291i | ||||
\(503\) | 299.434 | − | 52.7983i | 0.595296 | − | 0.104967i | 0.132121 | − | 0.991234i | \(-0.457821\pi\) |
0.463175 | + | 0.886267i | \(0.346710\pi\) | |||||||
\(504\) | −22.1049 | + | 24.1181i | −0.0438590 | + | 0.0478533i | ||||
\(505\) | 250.808 | − | 1422.40i | 0.496650 | − | 2.81664i | ||||
\(506\) | −171.018 | − | 340.525i | −0.337981 | − | 0.672975i | ||||
\(507\) | −175.862 | − | 56.8690i | −0.346868 | − | 0.112168i | ||||
\(508\) | 481.464 | + | 56.2751i | 0.947764 | + | 0.110778i | ||||
\(509\) | −364.645 | − | 554.416i | −0.716395 | − | 1.08923i | −0.991788 | − | 0.127894i | \(-0.959178\pi\) |
0.275393 | − | 0.961332i | \(-0.411192\pi\) | |||||||
\(510\) | 7.79545 | − | 17.0374i | 0.0152852 | − | 0.0334066i | ||||
\(511\) | 47.0593 | + | 157.189i | 0.0920925 | + | 0.307610i | ||||
\(512\) | −19.5959 | − | 11.3137i | −0.0382733 | − | 0.0220971i | ||||
\(513\) | 331.935 | + | 452.857i | 0.647046 | + | 0.882762i | ||||
\(514\) | 41.6212 | + | 72.0901i | 0.0809752 | + | 0.140253i | ||||
\(515\) | −871.302 | − | 822.031i | −1.69185 | − | 1.59618i | ||||
\(516\) | 109.483 | − | 158.784i | 0.212175 | − | 0.307721i | ||||
\(517\) | −5.44674 | − | 93.5170i | −0.0105353 | − | 0.180884i | ||||
\(518\) | 108.776 | − | 46.9212i | 0.209992 | − | 0.0905816i | ||||
\(519\) | 39.5099 | + | 97.3977i | 0.0761270 | + | 0.187664i | ||||
\(520\) | −23.0581 | + | 395.893i | −0.0443426 | + | 0.761333i | ||||
\(521\) | −168.127 | − | 461.925i | −0.322700 | − | 0.886612i | −0.989904 | − | 0.141737i | \(-0.954731\pi\) |
0.667204 | − | 0.744875i | \(-0.267491\pi\) | |||||||
\(522\) | 57.6506 | − | 119.046i | 0.110442 | − | 0.228058i | ||||
\(523\) | 592.196 | + | 215.542i | 1.13231 | + | 0.412126i | 0.839129 | − | 0.543933i | \(-0.183065\pi\) |
0.293177 | + | 0.956058i | \(0.405288\pi\) | |||||||
\(524\) | −251.600 | − | 108.530i | −0.480153 | − | 0.207118i | ||||
\(525\) | 5.07960 | − | 232.216i | 0.00967543 | − | 0.442316i | ||||
\(526\) | −360.677 | + | 85.4819i | −0.685697 | + | 0.162513i | ||||
\(527\) | −1.73563 | − | 7.32322i | −0.00329342 | − | 0.0138960i | ||||
\(528\) | 57.7458 | − | 95.1504i | 0.109367 | − | 0.180209i | ||||
\(529\) | −124.737 | + | 289.173i | −0.235798 | + | 0.546641i | ||||
\(530\) | 74.2275 | − | 203.938i | 0.140052 | − | 0.384790i | ||||
\(531\) | 259.230 | + | 577.880i | 0.488192 | + | 1.08829i | ||||
\(532\) | −50.2289 | + | 18.2818i | −0.0944152 | + | 0.0343643i | ||||
\(533\) | 561.755 | + | 32.7185i | 1.05395 | + | 0.0613856i | ||||
\(534\) | 273.061 | + | 212.724i | 0.511350 | + | 0.398359i | ||||
\(535\) | −648.735 | − | 1503.94i | −1.21259 | − | 2.81110i | ||||
\(536\) | 111.723 | − | 6.50713i | 0.208439 | − | 0.0121402i | ||||
\(537\) | 307.948 | − | 146.314i | 0.573460 | − | 0.272465i | ||||
\(538\) | 407.627 | − | 432.060i | 0.757672 | − | 0.803085i | ||||
\(539\) | −380.327 | + | 219.582i | −0.705616 | + | 0.407388i | ||||
\(540\) | 476.546 | + | 146.538i | 0.882492 | + | 0.271366i | ||||
\(541\) | 253.875 | − | 439.724i | 0.469270 | − | 0.812799i | −0.530113 | − | 0.847927i | \(-0.677850\pi\) |
0.999383 | + | 0.0351278i | \(0.0111838\pi\) | |||||||
\(542\) | 29.3151 | − | 8.77635i | 0.0540868 | − | 0.0161925i | ||||
\(543\) | −47.5110 | − | 501.348i | −0.0874973 | − | 0.923294i | ||||
\(544\) | −2.26062 | + | 1.48684i | −0.00415556 | + | 0.00273315i | ||||
\(545\) | −35.2671 | + | 301.729i | −0.0647103 | + | 0.553632i | ||||
\(546\) | −55.4916 | − | 61.4564i | −0.101633 | − | 0.112558i | ||||
\(547\) | −379.035 | + | 190.359i | −0.692934 | + | 0.348005i | −0.760162 | − | 0.649733i | \(-0.774881\pi\) |
0.0672283 | + | 0.997738i | \(0.478584\pi\) | |||||||
\(548\) | −142.984 | − | 25.2119i | −0.260919 | − | 0.0460071i | ||||
\(549\) | 366.925 | − | 575.819i | 0.668352 | − | 1.04885i | ||||
\(550\) | 137.219 | + | 778.210i | 0.249490 | + | 1.41493i | ||||
\(551\) | 173.348 | − | 129.053i | 0.314606 | − | 0.234215i | ||||
\(552\) | −243.634 | + | 37.4854i | −0.441367 | + | 0.0679083i | ||||
\(553\) | −104.812 | − | 111.094i | −0.189533 | − | 0.200894i | ||||
\(554\) | 17.1471 | + | 5.13352i | 0.0309515 | + | 0.00926627i | ||||
\(555\) | −1357.25 | − | 1190.41i | −2.44550 | − | 2.14488i | ||||
\(556\) | −157.188 | + | 18.3727i | −0.282713 | + | 0.0330444i | ||||
\(557\) | −123.616 | − | 147.319i | −0.221931 | − | 0.264487i | 0.643578 | − | 0.765381i | \(-0.277449\pi\) |
−0.865509 | + | 0.500893i | \(0.833005\pi\) | |||||||
\(558\) | 187.183 | − | 71.2054i | 0.335453 | − | 0.127608i | ||||
\(559\) | 373.944 | + | 313.776i | 0.668951 | + | 0.561317i | ||||
\(560\) | −26.0814 | + | 39.6549i | −0.0465740 | + | 0.0708123i | ||||
\(561\) | −7.06868 | − | 11.2771i | −0.0126001 | − | 0.0201018i | ||||
\(562\) | 212.752 | − | 285.776i | 0.378563 | − | 0.508499i | ||||
\(563\) | 256.994 | − | 511.718i | 0.456473 | − | 0.908913i | −0.541210 | − | 0.840887i | \(-0.682034\pi\) |
0.997684 | − | 0.0680255i | \(-0.0216699\pi\) | |||||||
\(564\) | −58.6443 | − | 15.2609i | −0.103979 | − | 0.0270583i | ||||
\(565\) | −253.582 | − | 60.1000i | −0.448818 | − | 0.106372i | ||||
\(566\) | 599.937i | 1.05996i | ||||||||
\(567\) | −91.6400 | + | 49.3861i | −0.161623 | + | 0.0871008i | ||||
\(568\) | −252.628 | −0.444768 | ||||||||
\(569\) | 226.892 | − | 957.333i | 0.398756 | − | 1.68248i | −0.289630 | − | 0.957139i | \(-0.593532\pi\) |
0.688386 | − | 0.725344i | \(-0.258320\pi\) | |||||||
\(570\) | 580.141 | + | 571.827i | 1.01779 | + | 1.00320i | ||||
\(571\) | −17.2215 | − | 8.64899i | −0.0301603 | − | 0.0151471i | 0.433655 | − | 0.901079i | \(-0.357224\pi\) |
−0.463815 | + | 0.885932i | \(0.653520\pi\) | |||||||
\(572\) | 225.960 | + | 168.221i | 0.395036 | + | 0.294093i | ||||
\(573\) | 238.110 | + | 126.178i | 0.415549 | + | 0.220206i | ||||
\(574\) | 56.2686 | + | 37.0084i | 0.0980289 | + | 0.0644746i | ||||
\(575\) | 1124.94 | − | 1340.65i | 1.95641 | − | 2.33156i | ||||
\(576\) | −47.0721 | − | 54.4814i | −0.0817223 | − | 0.0945857i | ||||
\(577\) | 284.913 | − | 239.070i | 0.493783 | − | 0.414333i | −0.361597 | − | 0.932335i | \(-0.617768\pi\) |
0.855380 | + | 0.518001i | \(0.173324\pi\) | |||||||
\(578\) | −47.4105 | − | 405.623i | −0.0820251 | − | 0.701770i | ||||
\(579\) | 274.459 | + | 808.674i | 0.474022 | + | 1.39667i | ||||
\(580\) | 55.0364 | − | 183.834i | 0.0948904 | − | 0.316956i | ||||
\(581\) | −40.4514 | + | 38.1639i | −0.0696237 | + | 0.0656866i | ||||
\(582\) | 463.937 | − | 372.307i | 0.797142 | − | 0.639703i | ||||
\(583\) | −92.0621 | − | 123.661i | −0.157911 | − | 0.212111i | ||||
\(584\) | −355.624 | + | 62.7060i | −0.608945 | + | 0.107373i | ||||
\(585\) | −483.019 | + | 1165.75i | −0.825674 | + | 1.99274i | ||||
\(586\) | 25.9504 | − | 147.172i | 0.0442839 | − | 0.251147i | ||||
\(587\) | 395.573 | + | 787.652i | 0.673890 | + | 1.34183i | 0.927246 | + | 0.374452i | \(0.122169\pi\) |
−0.253356 | + | 0.967373i | \(0.581534\pi\) | |||||||
\(588\) | 59.4546 | + | 277.799i | 0.101113 | + | 0.472447i | ||||
\(589\) | 324.997 | + | 37.9867i | 0.551778 | + | 0.0644936i | ||||
\(590\) | 504.926 | + | 767.703i | 0.855807 | + | 1.30119i | ||||
\(591\) | 484.494 | + | 681.408i | 0.819787 | + | 1.15297i | ||||
\(592\) | 74.7737 | + | 249.762i | 0.126307 | + | 0.421894i | ||||
\(593\) | 226.200 | + | 130.597i | 0.381450 | + | 0.220230i | 0.678449 | − | 0.734648i | \(-0.262652\pi\) |
−0.296999 | + | 0.954878i | \(0.595986\pi\) | |||||||
\(594\) | 272.989 | − | 225.627i | 0.459577 | − | 0.379844i | ||||
\(595\) | 2.83779 | + | 4.91520i | 0.00476939 | + | 0.00826083i | ||||
\(596\) | 408.616 | + | 385.509i | 0.685597 | + | 0.646827i | ||||
\(597\) | −696.162 | − | 55.8462i | −1.16610 | − | 0.0935447i | ||||
\(598\) | −36.2759 | − | 622.832i | −0.0606620 | − | 1.04153i | ||||
\(599\) | −910.950 | + | 392.945i | −1.52078 | + | 0.656002i | −0.982416 | − | 0.186707i | \(-0.940218\pi\) |
−0.538368 | + | 0.842710i | \(0.680959\pi\) | |||||||
\(600\) | 506.304 | + | 70.4337i | 0.843840 | + | 0.117390i | ||||
\(601\) | 28.7286 | − | 493.251i | 0.0478014 | − | 0.820718i | −0.886168 | − | 0.463364i | \(-0.846642\pi\) |
0.933969 | − | 0.357353i | \(-0.116321\pi\) | |||||||
\(602\) | 19.9824 | + | 54.9012i | 0.0331933 | + | 0.0911979i | ||||
\(603\) | 342.582 | + | 97.1965i | 0.568130 | + | 0.161188i | ||||
\(604\) | 251.651 | + | 91.5935i | 0.416641 | + | 0.151645i | ||||
\(605\) | −296.471 | − | 127.885i | −0.490035 | − | 0.211380i | ||||
\(606\) | −581.910 | + | 319.205i | −0.960247 | + | 0.526741i | ||||
\(607\) | −785.689 | + | 186.212i | −1.29438 | + | 0.306774i | −0.819400 | − | 0.573222i | \(-0.805693\pi\) |
−0.474981 | + | 0.879996i | \(0.657545\pi\) | |||||||
\(608\) | −27.1291 | − | 114.467i | −0.0446202 | − | 0.188267i | ||||
\(609\) | 19.2702 | + | 35.1295i | 0.0316424 | + | 0.0576839i | ||||
\(610\) | 392.348 | − | 909.566i | 0.643194 | − | 1.49109i | ||||
\(611\) | 52.4558 | − | 144.121i | 0.0858524 | − | 0.235877i | ||||
\(612\) | −8.34805 | + | 2.10625i | −0.0136406 | + | 0.00344158i | ||||
\(613\) | −781.441 | + | 284.421i | −1.27478 | + | 0.463982i | −0.888703 | − | 0.458484i | \(-0.848393\pi\) |
−0.386078 | + | 0.922466i | \(0.626170\pi\) | |||||||
\(614\) | 340.217 | + | 19.8154i | 0.554100 | + | 0.0322726i | ||||
\(615\) | 141.417 | − | 1016.56i | 0.229946 | − | 1.65294i | ||||
\(616\) | 13.3542 | + | 30.9585i | 0.0216789 | + | 0.0502573i | ||||
\(617\) | −428.414 | + | 24.9523i | −0.694351 | + | 0.0404413i | −0.401691 | − | 0.915775i | \(-0.631577\pi\) |
−0.292660 | + | 0.956217i | \(0.594540\pi\) | |||||||
\(618\) | −44.0157 | + | 548.687i | −0.0712228 | + | 0.887843i | ||||
\(619\) | 249.491 | − | 264.445i | 0.403055 | − | 0.427214i | −0.493774 | − | 0.869590i | \(-0.664383\pi\) |
0.896829 | + | 0.442376i | \(0.145864\pi\) | |||||||
\(620\) | 251.620 | − | 145.273i | 0.405840 | − | 0.234312i | ||||
\(621\) | −771.412 | − | 141.943i | −1.24221 | − | 0.228571i | ||||
\(622\) | 147.383 | − | 255.276i | 0.236951 | − | 0.410411i | ||||
\(623\) | −100.449 | + | 30.0724i | −0.161234 | + | 0.0482703i | ||||
\(624\) | 148.516 | − | 105.598i | 0.238006 | − | 0.169227i | ||||
\(625\) | −1251.69 | + | 823.251i | −2.00271 | + | 1.31720i | ||||
\(626\) | 1.90949 | − | 16.3367i | 0.00305030 | − | 0.0260970i | ||||
\(627\) | 565.834 | − | 121.100i | 0.902447 | − | 0.193142i | ||||
\(628\) | −101.121 | + | 50.7847i | −0.161020 | + | 0.0808674i | ||||
\(629\) | 30.7022 | + | 5.41363i | 0.0488111 | + | 0.00860672i | ||||
\(630\) | −119.828 | + | 91.9263i | −0.190203 | + | 0.145915i | ||||
\(631\) | 26.3829 | + | 149.625i | 0.0418112 | + | 0.237123i | 0.998550 | − | 0.0538237i | \(-0.0171409\pi\) |
−0.956739 | + | 0.290947i | \(0.906030\pi\) | |||||||
\(632\) | 269.620 | − | 200.725i | 0.426614 | − | 0.317603i | ||||
\(633\) | −252.721 | − | 314.918i | −0.399243 | − | 0.497501i | ||||
\(634\) | −443.335 | − | 469.908i | −0.699267 | − | 0.741179i | ||||
\(635\) | 2143.73 | + | 641.792i | 3.37596 | + | 1.01070i | ||||
\(636\) | −94.4378 | + | 32.0516i | −0.148487 | + | 0.0503956i | ||||
\(637\) | −714.161 | + | 83.4735i | −1.12113 | + | 0.131042i | ||||
\(638\) | −87.6217 | − | 104.423i | −0.137338 | − | 0.163673i | ||||
\(639\) | −759.270 | − | 264.003i | −1.18822 | − | 0.413150i | ||||
\(640\) | −80.0182 | − | 67.1432i | −0.125028 | − | 0.104911i | ||||
\(641\) | 59.5235 | − | 90.5010i | 0.0928603 | − | 0.141187i | −0.786070 | − | 0.618138i | \(-0.787887\pi\) |
0.878930 | + | 0.476950i | \(0.158258\pi\) | |||||||
\(642\) | −352.415 | + | 665.042i | −0.548934 | + | 1.03589i | ||||
\(643\) | −248.096 | + | 333.251i | −0.385842 | + | 0.518275i | −0.952032 | − | 0.305999i | \(-0.901009\pi\) |
0.566190 | + | 0.824275i | \(0.308417\pi\) | |||||||
\(644\) | 33.5121 | − | 66.7282i | 0.0520375 | − | 0.103615i | ||||
\(645\) | 625.017 | − | 634.106i | 0.969019 | − | 0.983110i | ||||
\(646\) | −13.6877 | − | 3.24406i | −0.0211885 | − | 0.00502176i | ||||
\(647\) | − | 299.044i | − | 0.462201i | −0.972930 | − | 0.231100i | \(-0.925767\pi\) | ||
0.972930 | − | 0.231100i | \(-0.0742326\pi\) | |||||||
\(648\) | −84.5398 | − | 212.934i | −0.130463 | − | 0.328602i | ||||
\(649\) | 652.726 | 1.00574 | ||||||||
\(650\) | −298.367 | + | 1258.91i | −0.459026 | + | 1.93678i | ||||
\(651\) | −15.2781 | + | 58.7105i | −0.0234687 | + | 0.0901851i | ||||
\(652\) | −137.491 | − | 69.0505i | −0.210876 | − | 0.105906i | ||||
\(653\) | −246.801 | − | 183.736i | −0.377949 | − | 0.281373i | 0.391375 | − | 0.920231i | \(-0.372000\pi\) |
−0.769324 | + | 0.638858i | \(0.779407\pi\) | |||||||
\(654\) | 118.280 | − | 74.1399i | 0.180856 | − | 0.113364i | ||||
\(655\) | −1056.83 | − | 695.090i | −1.61348 | − | 1.06121i | ||||
\(656\) | −95.2733 | + | 113.542i | −0.145234 | + | 0.173083i | ||||
\(657\) | −1134.35 | − | 183.174i | −1.72656 | − | 0.278804i | ||||
\(658\) | 14.0617 | − | 11.7992i | 0.0213704 | − | 0.0179319i | ||||
\(659\) | −14.9611 | − | 128.001i | −0.0227028 | − | 0.194234i | 0.977128 | − | 0.212654i | \(-0.0682107\pi\) |
−0.999830 | + | 0.0184194i | \(0.994137\pi\) | |||||||
\(660\) | 338.800 | − | 386.285i | 0.513334 | − | 0.585281i | ||||
\(661\) | −268.576 | + | 897.105i | −0.406317 | + | 1.35719i | 0.473044 | + | 0.881039i | \(0.343155\pi\) |
−0.879361 | + | 0.476155i | \(0.842030\pi\) | |||||||
\(662\) | 32.2490 | − | 30.4253i | 0.0487145 | − | 0.0459597i | ||||
\(663\) | −3.31372 | − | 21.5374i | −0.00499807 | − | 0.0324847i | ||||
\(664\) | −73.0875 | − | 98.1736i | −0.110072 | − | 0.147852i | ||||
\(665\) | −243.007 | + | 42.8487i | −0.365424 | + | 0.0644342i | ||||
\(666\) | −36.2762 | + | 828.794i | −0.0544688 | + | 1.24444i | ||||
\(667\) | −52.4239 | + | 297.311i | −0.0785966 | + | 0.445744i | ||||
\(668\) | −87.4916 | − | 174.210i | −0.130975 | − | 0.260793i | ||||
\(669\) | −413.930 | + | 373.755i | −0.618730 | + | 0.558677i | ||||
\(670\) | 513.135 | + | 59.9769i | 0.765874 | + | 0.0895178i | ||||
\(671\) | −386.671 | − | 587.905i | −0.576261 | − | 0.876162i | ||||
\(672\) | 21.7131 | − | 2.05767i | 0.0323112 | − | 0.00306202i | ||||
\(673\) | 136.270 | + | 455.174i | 0.202482 | + | 0.676336i | 0.997559 | + | 0.0698280i | \(0.0222450\pi\) |
−0.795077 | + | 0.606508i | \(0.792570\pi\) | |||||||
\(674\) | 220.043 | + | 127.042i | 0.326473 | + | 0.188489i | ||||
\(675\) | 1448.08 | + | 740.788i | 2.14531 | + | 1.09746i | ||||
\(676\) | 61.6095 | + | 106.711i | 0.0911383 | + | 0.157856i | ||||
\(677\) | 461.324 | + | 435.237i | 0.681424 | + | 0.642890i | 0.947013 | − | 0.321196i | \(-0.104085\pi\) |
−0.265589 | + | 0.964086i | \(0.585566\pi\) | |||||||
\(678\) | 51.3925 | + | 108.166i | 0.0758002 | + | 0.159537i | ||||
\(679\) | 10.4773 | + | 179.889i | 0.0154306 | + | 0.264932i | ||||
\(680\) | −11.4692 | + | 4.94733i | −0.0168665 | + | 0.00727548i | ||||
\(681\) | 182.087 | − | 233.735i | 0.267382 | − | 0.343223i | ||||
\(682\) | 12.0006 | − | 206.043i | 0.0175962 | − | 0.302116i | ||||
\(683\) | 333.383 | + | 915.962i | 0.488116 | + | 1.34109i | 0.902384 | + | 0.430932i | \(0.141815\pi\) |
−0.414268 | + | 0.910155i | \(0.635963\pi\) | |||||||
\(684\) | 38.0846 | − | 372.378i | 0.0556792 | − | 0.544412i | ||||
\(685\) | −629.827 | − | 229.238i | −0.919455 | − | 0.334654i | ||||
\(686\) | −160.794 | − | 69.3600i | −0.234394 | − | 0.101108i | ||||
\(687\) | −648.131 | − | 393.344i | −0.943422 | − | 0.572553i | ||||
\(688\) | −125.114 | + | 29.6526i | −0.181852 | + | 0.0430997i | ||||
\(689\) | −58.2098 | − | 245.607i | −0.0844845 | − | 0.356468i | ||||
\(690\) | −1137.67 | − | 24.8859i | −1.64879 | − | 0.0360665i | ||||
\(691\) | 230.766 | − | 534.975i | 0.333959 | − | 0.774204i | −0.665651 | − | 0.746264i | \(-0.731846\pi\) |
0.999610 | − | 0.0279405i | \(-0.00889488\pi\) | |||||||
\(692\) | 23.9657 | − | 65.8451i | 0.0346325 | − | 0.0951519i | ||||
\(693\) | 7.78335 | + | 107.001i | 0.0112314 | + | 0.154402i | ||||
\(694\) | −572.908 | + | 208.521i | −0.825515 | + | 0.300463i | ||||
\(695\) | −729.341 | − | 42.4793i | −1.04941 | − | 0.0611213i | ||||
\(696\) | −81.7132 | + | 33.1474i | −0.117404 | + | 0.0476256i | ||||
\(697\) | 7.02004 | + | 16.2743i | 0.0100718 | + | 0.0233491i | ||||
\(698\) | 352.808 | − | 20.5487i | 0.505455 | − | 0.0294394i | ||||
\(699\) | 206.169 | + | 142.155i | 0.294949 | + | 0.203369i | ||||
\(700\) | −106.263 | + | 112.632i | −0.151804 | + | 0.160903i | ||||
\(701\) | 20.0883 | − | 11.5980i | 0.0286567 | − | 0.0165449i | −0.485603 | − | 0.874179i | \(-0.661400\pi\) |
0.514260 | + | 0.857634i | \(0.328067\pi\) | |||||||
\(702\) | 556.714 | − | 162.169i | 0.793039 | − | 0.231010i | ||||
\(703\) | −677.713 | + | 1173.83i | −0.964029 | + | 1.66975i | ||||
\(704\) | −71.0842 | + | 21.2812i | −0.100972 | + | 0.0302290i | ||||
\(705\) | −254.377 | − | 116.390i | −0.360818 | − | 0.165092i | ||||
\(706\) | 237.267 | − | 156.053i | 0.336073 | − | 0.221039i | ||||
\(707\) | 23.3408 | − | 199.693i | 0.0330138 | − | 0.282451i | ||||
\(708\) | 129.917 | − | 401.756i | 0.183499 | − | 0.567453i | ||||
\(709\) | 446.038 | − | 224.009i | 0.629108 | − | 0.315950i | −0.105523 | − | 0.994417i | \(-0.533652\pi\) |
0.734631 | + | 0.678467i | \(0.237355\pi\) | |||||||
\(710\) | −1148.51 | − | 202.513i | −1.61761 | − | 0.285229i | ||||
\(711\) | 1020.10 | − | 321.515i | 1.43474 | − | 0.452201i | ||||
\(712\) | −40.0712 | − | 227.255i | −0.0562798 | − | 0.319178i | ||||
\(713\) | −366.648 | + | 272.960i | −0.514233 | + | 0.382832i | ||||
\(714\) | 0.945390 | − | 2.43068i | 0.00132408 | − | 0.00340431i | ||||
\(715\) | 892.417 | + | 945.907i | 1.24814 | + | 1.32295i | ||||
\(716\) | −217.744 | − | 65.1883i | −0.304112 | − | 0.0910451i | ||||
\(717\) | −70.0578 | + | 352.104i | −0.0977096 | + | 0.491080i | ||||
\(718\) | −196.275 | + | 22.9412i | −0.273363 | + | 0.0319515i | ||||
\(719\) | −644.746 | − | 768.379i | −0.896726 | − | 1.06868i | −0.997277 | − | 0.0737450i | \(-0.976505\pi\) |
0.100551 | − | 0.994932i | \(-0.467940\pi\) | |||||||
\(720\) | −170.327 | − | 285.419i | −0.236565 | − | 0.396415i | ||||
\(721\) | −127.733 | − | 107.181i | −0.177161 | − | 0.148655i | ||||
\(722\) | 55.5297 | − | 84.4289i | 0.0769110 | − | 0.116937i | ||||
\(723\) | −84.8870 | + | 3.08332i | −0.117409 | + | 0.00426462i | ||||
\(724\) | −200.484 | + | 269.297i | −0.276911 | + | 0.371957i | ||||
\(725\) | 280.974 | − | 559.465i | 0.387550 | − | 0.771676i | ||||
\(726\) | 39.4342 | + | 143.033i | 0.0543171 | + | 0.197015i | ||||
\(727\) | 1086.94 | + | 257.610i | 1.49510 | + | 0.354346i | 0.895178 | − | 0.445710i | \(-0.147049\pi\) |
0.599926 | + | 0.800056i | \(0.295197\pi\) | |||||||
\(728\) | 55.2015i | 0.0758262i | ||||||||
\(729\) | −31.5609 | − | 728.316i | −0.0432935 | − | 0.999062i | ||||
\(730\) | −1667.01 | −2.28358 | ||||||||
\(731\) | −3.54582 | + | 14.9610i | −0.00485064 | + | 0.0204664i | ||||
\(732\) | −438.821 | + | 120.983i | −0.599482 | + | 0.165277i | ||||
\(733\) | 718.190 | + | 360.689i | 0.979795 | + | 0.492072i | 0.865247 | − | 0.501346i | \(-0.167162\pi\) |
0.114548 | + | 0.993418i | \(0.463458\pi\) | |||||||
\(734\) | 421.634 | + | 313.895i | 0.574433 | + | 0.427649i | ||||
\(735\) | 47.6043 | + | 1310.60i | 0.0647677 | + | 1.78312i | ||||
\(736\) | 137.299 | + | 90.3031i | 0.186548 | + | 0.122694i | ||||
\(737\) | 235.898 | − | 281.132i | 0.320078 | − | 0.381454i | ||||
\(738\) | −404.997 | + | 241.686i | −0.548776 | + | 0.327488i | ||||
\(739\) | −112.239 | + | 94.1800i | −0.151880 | + | 0.127443i | −0.715561 | − | 0.698550i | \(-0.753829\pi\) |
0.563681 | + | 0.825992i | \(0.309385\pi\) | |||||||
\(740\) | 139.724 | + | 1195.41i | 0.188816 | + | 1.61542i | ||||
\(741\) | 929.180 | + | 184.878i | 1.25395 | + | 0.249498i | ||||
\(742\) | 8.66433 | − | 28.9409i | 0.0116770 | − | 0.0390039i | ||||
\(743\) | −864.334 | + | 815.457i | −1.16330 | + | 1.09752i | −0.169595 | + | 0.985514i | \(0.554246\pi\) |
−0.993708 | + | 0.112006i | \(0.964272\pi\) | |||||||
\(744\) | −124.432 | − | 48.3968i | −0.167247 | − | 0.0650494i | ||||
\(745\) | 1548.63 | + | 2080.17i | 2.07869 | + | 2.79217i | ||||
\(746\) | −507.864 | + | 89.5500i | −0.680782 | + | 0.120040i | ||||
\(747\) | −117.069 | − | 371.437i | −0.156719 | − | 0.497239i | ||||
\(748\) | −1.54076 | + | 8.73811i | −0.00205984 | + | 0.0116820i | ||||
\(749\) | −102.323 | − | 203.742i | −0.136613 | − | 0.272019i | ||||
\(750\) | 1313.54 | + | 424.763i | 1.75139 | + | 0.566351i | ||||
\(751\) | 485.615 | + | 56.7603i | 0.646625 | + | 0.0755796i | 0.433082 | − | 0.901354i | \(-0.357426\pi\) |
0.213542 | + | 0.976934i | \(0.431500\pi\) | |||||||
\(752\) | 22.1992 | + | 33.7523i | 0.0295203 | + | 0.0448834i | ||||
\(753\) | −530.437 | + | 1159.30i | −0.704431 | + | 1.53957i | ||||
\(754\) | −64.0094 | − | 213.806i | −0.0848932 | − | 0.283563i | ||||
\(755\) | 1070.64 | + | 618.134i | 1.41807 | + | 0.818721i | ||||
\(756\) | 67.4087 | + | 16.5064i | 0.0891649 | + | 0.0218339i | ||||
\(757\) | −294.470 | − | 510.038i | −0.388997 | − | 0.673762i | 0.603318 | − | 0.797501i | \(-0.293845\pi\) |
−0.992315 | + | 0.123739i | \(0.960512\pi\) | |||||||
\(758\) | −666.309 | − | 628.630i | −0.879035 | − | 0.829327i | ||||
\(759\) | −458.856 | + | 665.487i | −0.604554 | + | 0.876794i | ||||
\(760\) | −31.5760 | − | 542.138i | −0.0415473 | − | 0.713340i | ||||
\(761\) | 105.288 | − | 45.4169i | 0.138355 | − | 0.0596805i | −0.325777 | − | 0.945447i | \(-0.605626\pi\) |
0.464132 | + | 0.885766i | \(0.346366\pi\) | |||||||
\(762\) | −386.540 | − | 952.876i | −0.507270 | − | 1.25049i | ||||
\(763\) | −2.45874 | + | 42.2149i | −0.00322246 | + | 0.0553276i | ||||
\(764\) | −61.4440 | − | 168.816i | −0.0804241 | − | 0.220963i | ||||
\(765\) | −39.6405 | + | 2.88350i | −0.0518177 | + | 0.00376928i | ||||
\(766\) | −464.005 | − | 168.884i | −0.605751 | − | 0.220475i | ||||
\(767\) | 981.277 | + | 423.282i | 1.27937 | + | 0.551867i | ||||
\(768\) | −1.04972 | + | 47.9885i | −0.00136683 | + | 0.0624851i | ||||
\(769\) | 714.917 | − | 169.439i | 0.929672 | − | 0.220336i | 0.262236 | − | 0.965004i | \(-0.415540\pi\) |
0.667436 | + | 0.744668i | \(0.267392\pi\) | |||||||
\(770\) | 35.8941 | + | 151.449i | 0.0466158 | + | 0.196687i | ||||
\(771\) | 91.6153 | − | 150.959i | 0.118827 | − | 0.195796i | ||||
\(772\) | 225.496 | − | 522.759i | 0.292093 | − | 0.677149i | ||||
\(773\) | −21.3546 | + | 58.6714i | −0.0276256 | + | 0.0759008i | −0.952739 | − | 0.303791i | \(-0.901748\pi\) |
0.925113 | + | 0.379692i | \(0.123970\pi\) | |||||||
\(774\) | −407.016 | − | 41.6272i | −0.525861 | − | 0.0537819i | ||||
\(775\) | 890.736 | − | 324.201i | 1.14934 | − | 0.418324i | ||||
\(776\) | −395.897 | − | 23.0584i | −0.510177 | − | 0.0297144i | ||||
\(777\) | −198.244 | − | 154.439i | −0.255140 | − | 0.198763i | ||||
\(778\) | 253.257 | + | 587.116i | 0.325523 | + | 0.754648i | ||||
\(779\) | −769.271 | + | 44.8049i | −0.987511 | + | 0.0575159i | ||||
\(780\) | 759.836 | − | 361.017i | 0.974148 | − | 0.462842i | ||||
\(781\) | −568.508 | + | 602.583i | −0.727923 | + | 0.771553i | ||||
\(782\) | 17.0181 | − | 9.82542i | 0.0217623 | − | 0.0125645i | ||||
\(783\) | −280.228 | + | 14.2316i | −0.357890 | + | 0.0181758i | ||||
\(784\) | 94.6966 | − | 164.019i | 0.120786 | − | 0.209208i | ||||
\(785\) | −500.428 | + | 149.818i | −0.637488 | + | 0.190851i | ||||
\(786\) | 54.8385 | + | 578.670i | 0.0697691 | + | 0.736222i | ||||
\(787\) | 971.970 | − | 639.274i | 1.23503 | − | 0.812293i | 0.247373 | − | 0.968920i | \(-0.420433\pi\) |
0.987658 | + | 0.156627i | \(0.0500622\pi\) | |||||||
\(788\) | 64.7096 | − | 553.626i | 0.0821188 | − | 0.702572i | ||||
\(789\) | 526.959 | + | 583.602i | 0.667882 | + | 0.739673i | ||||
\(790\) | 1386.66 | − | 696.407i | 1.75527 | − | 0.881528i | ||||
\(791\) | −35.7252 | − | 6.29931i | −0.0451646 | − | 0.00796373i | ||||
\(792\) | −235.882 | − | 10.3245i | −0.297831 | − | 0.0130360i | ||||
\(793\) | −200.057 | − | 1134.58i | −0.252278 | − | 1.43074i | ||||
\(794\) | −3.93109 | + | 2.92659i | −0.00495099 | + | 0.00368588i | ||||
\(795\) | −455.029 | + | 70.0103i | −0.572364 | + | 0.0880633i | ||||
\(796\) | 319.513 | + | 338.664i | 0.401399 | + | 0.425458i | ||||
\(797\) | 827.952 | + | 247.873i | 1.03884 | + | 0.311007i | 0.760405 | − | 0.649449i | \(-0.225000\pi\) |
0.278431 | + | 0.960456i | \(0.410186\pi\) | |||||||
\(798\) | 85.2469 | + | 74.7677i | 0.106826 | + | 0.0936939i | ||||
\(799\) | 4.79811 | − | 0.560818i | 0.00600514 | − | 0.000701900i | ||||
\(800\) | −219.053 | − | 261.058i | −0.273817 | − | 0.326322i | ||||
\(801\) | 117.054 | − | 724.886i | 0.146135 | − | 0.904976i | ||||
\(802\) | 180.223 | + | 151.225i | 0.224717 | + | 0.188560i | ||||
\(803\) | −650.716 | + | 989.366i | −0.810356 | + | 1.23209i | ||||
\(804\) | −126.086 | − | 201.152i | −0.156823 | − | 0.250189i | ||||
\(805\) | 205.845 | − | 276.497i | 0.255708 | − | 0.343475i | ||||
\(806\) | 151.657 | − | 301.973i | 0.188160 | − | 0.374656i | ||||
\(807\) | −1219.45 | − | 317.335i | −1.51109 | − | 0.393228i | ||||
\(808\) | 430.546 | + | 102.041i | 0.532854 | + | 0.126289i | ||||
\(809\) | 257.116i | 0.317819i | 0.987293 | + | 0.158910i | \(0.0507978\pi\) | ||||
−0.987293 | + | 0.158910i | \(0.949202\pi\) | |||||||
\(810\) | −213.644 | − | 1035.82i | −0.263758 | − | 1.27879i | ||||
\(811\) | 103.802 | 0.127993 | 0.0639965 | − | 0.997950i | \(-0.479615\pi\) | ||||
0.0639965 | + | 0.997950i | \(0.479615\pi\) | |||||||
\(812\) | 6.16017 | − | 25.9918i | 0.00758642 | − | 0.0320096i | ||||
\(813\) | −46.2310 | − | 45.5684i | −0.0568647 | − | 0.0560497i | ||||
\(814\) | 764.014 | + | 383.702i | 0.938592 | + | 0.471379i | ||||
\(815\) | −569.712 | − | 424.135i | −0.699034 | − | 0.520411i | ||||
\(816\) | 5.07168 | + | 2.68756i | 0.00621530 | + | 0.00329358i | ||||
\(817\) | −558.502 | − | 367.332i | −0.683600 | − | 0.449611i | ||||
\(818\) | 65.0014 | − | 77.4656i | 0.0794638 | − | 0.0947013i | ||||
\(819\) | −57.6870 | + | 165.907i | −0.0704358 | + | 0.202573i | ||||
\(820\) | −524.152 | + | 439.816i | −0.639210 | + | 0.536361i | ||||
\(821\) | −76.6523 | − | 655.803i | −0.0933646 | − | 0.798785i | −0.956082 | − | 0.293099i | \(-0.905313\pi\) |
0.862717 | − | 0.505686i | \(-0.168761\pi\) | |||||||
\(822\) | 98.9854 | + | 291.654i | 0.120420 | + | 0.354810i | ||||
\(823\) | 73.9051 | − | 246.860i | 0.0897997 | − | 0.299952i | −0.901277 | − | 0.433243i | \(-0.857369\pi\) |
0.991077 | + | 0.133291i | \(0.0425545\pi\) | |||||||
\(824\) | 266.922 | − | 251.828i | 0.323934 | − | 0.305616i | ||||
\(825\) | 1307.38 | − | 1049.16i | 1.58470 | − | 1.27171i | ||||
\(826\) | 76.3801 | + | 102.596i | 0.0924698 | + | 0.124209i | ||||
\(827\) | −256.359 | + | 45.2031i | −0.309987 | + | 0.0546591i | −0.326478 | − | 0.945205i | \(-0.605862\pi\) |
0.0164904 | + | 0.999864i | \(0.494751\pi\) | |||||||
\(828\) | 318.281 | + | 414.886i | 0.384398 | + | 0.501070i | ||||
\(829\) | −142.228 | + | 806.614i | −0.171566 | + | 0.972996i | 0.770468 | + | 0.637478i | \(0.220022\pi\) |
−0.942034 | + | 0.335518i | \(0.891089\pi\) | |||||||
\(830\) | −253.574 | − | 504.908i | −0.305511 | − | 0.608323i | ||||
\(831\) | −7.94634 | − | 37.1289i | −0.00956238 | − | 0.0446798i | ||||
\(832\) | −120.665 | − | 14.1037i | −0.145030 | − | 0.0169516i | ||||
\(833\) | −12.4449 | − | 18.9216i | −0.0149399 | − | 0.0227150i | ||||
\(834\) | 194.539 | + | 273.606i | 0.233260 | + | 0.328064i | ||||
\(835\) | −258.106 | − | 862.134i | −0.309109 | − | 1.03250i | ||||
\(836\) | −334.083 | − | 192.883i | −0.399620 | − | 0.230721i | ||||
\(837\) | −323.402 | − | 275.490i | −0.386383 | − | 0.329140i | ||||
\(838\) | −73.2836 | − | 126.931i | −0.0874506 | − | 0.151469i | ||||
\(839\) | 348.504 | + | 328.797i | 0.415380 | + | 0.391891i | 0.865363 | − | 0.501146i | \(-0.167088\pi\) |
−0.449982 | + | 0.893038i | \(0.648570\pi\) | |||||||
\(840\) | 100.362 | + | 8.05106i | 0.119479 | + | 0.00958460i | ||||
\(841\) | −42.6203 | − | 731.763i | −0.0506781 | − | 0.870110i | ||||
\(842\) | −681.675 | + | 294.046i | −0.809591 | + | 0.349223i | ||||
\(843\) | −748.564 | − | 104.135i | −0.887976 | − | 0.123529i | ||||
\(844\) | −15.6520 | + | 268.734i | −0.0185450 | + | 0.318405i | ||||
\(845\) | 194.549 | + | 534.519i | 0.230235 | + | 0.632567i | ||||
\(846\) | 31.4474 | + | 124.641i | 0.0371718 | + | 0.147329i | ||||
\(847\) | −42.2338 | − | 15.3719i | −0.0498629 | − | 0.0181486i | ||||
\(848\) | 61.0483 | + | 26.3337i | 0.0719909 | + | 0.0310539i | ||||
\(849\) | 1115.81 | − | 612.073i | 1.31426 | − | 0.720934i | ||||
\(850\) | −39.6523 | + | 9.39778i | −0.0466498 | + | 0.0110562i | ||||
\(851\) | −436.664 | − | 1842.43i | −0.513118 | − | 2.16502i | ||||
\(852\) | 257.739 | + | 469.857i | 0.302511 | + | 0.551475i | ||||
\(853\) | 172.697 | − | 400.357i | 0.202458 | − | 0.469351i | −0.786492 | − | 0.617601i | \(-0.788105\pi\) |
0.988950 | + | 0.148250i | \(0.0473639\pi\) | |||||||
\(854\) | 47.1605 | − | 129.572i | 0.0552230 | − | 0.151724i | ||||
\(855\) | 471.647 | − | 1662.38i | 0.551634 | − | 1.94431i | ||||
\(856\) | 471.504 | − | 171.614i | 0.550823 | − | 0.200483i | ||||
\(857\) | 757.568 | + | 44.1233i | 0.883977 | + | 0.0514858i | 0.494124 | − | 0.869391i | \(-0.335489\pi\) |
0.389853 | + | 0.920877i | \(0.372526\pi\) | |||||||
\(858\) | 82.3387 | − | 591.882i | 0.0959659 | − | 0.689839i | ||||
\(859\) | 296.953 | + | 688.414i | 0.345696 | + | 0.801414i | 0.999017 | + | 0.0443323i | \(0.0141160\pi\) |
−0.653321 | + | 0.757081i | \(0.726625\pi\) | |||||||
\(860\) | −592.568 | + | 34.5131i | −0.689032 | + | 0.0401315i | ||||
\(861\) | 11.4241 | − | 142.410i | 0.0132684 | − | 0.165400i | ||||
\(862\) | −171.857 | + | 182.157i | −0.199370 | + | 0.211320i | ||||
\(863\) | 1042.82 | − | 602.074i | 1.20837 | − | 0.697653i | 0.245967 | − | 0.969278i | \(-0.420894\pi\) |
0.962403 | + | 0.271625i | \(0.0875611\pi\) | |||||||
\(864\) | −53.3042 | + | 143.132i | −0.0616946 | + | 0.165662i | ||||
\(865\) | 161.736 | − | 280.135i | 0.186978 | − | 0.323856i | ||||
\(866\) | −567.504 | + | 169.900i | −0.655316 | + | 0.196189i | ||||
\(867\) | −706.038 | + | 502.006i | −0.814346 | + | 0.579015i | ||||
\(868\) | 33.7904 | − | 22.2243i | 0.0389290 | − | 0.0256040i | ||||
\(869\) | 127.966 | − | 1094.82i | 0.147257 | − | 1.25986i | ||||
\(870\) | −398.059 | + | 85.1927i | −0.457539 | + | 0.0979226i | ||||
\(871\) | 536.947 | − | 269.665i | 0.616472 | − | 0.309604i | ||||
\(872\) | −91.6497 | − | 16.1603i | −0.105103 | − | 0.0185325i | ||||
\(873\) | −1165.77 | − | 483.025i | −1.33536 | − | 0.553293i | ||||
\(874\) | 148.357 | + | 841.376i | 0.169745 | + | 0.962673i | ||||
\(875\) | −335.438 | + | 249.724i | −0.383358 | + | 0.285399i | ||||
\(876\) | 479.443 | + | 597.440i | 0.547310 | + | 0.682010i | ||||
\(877\) | 29.0930 | + | 30.8367i | 0.0331733 | + | 0.0351616i | 0.743748 | − | 0.668460i | \(-0.233046\pi\) |
−0.710575 | + | 0.703622i | \(0.751565\pi\) | |||||||
\(878\) | −343.107 | − | 102.719i | −0.390782 | − | 0.116993i | ||||
\(879\) | −300.196 | + | 101.885i | −0.341520 | + | 0.115910i | ||||
\(880\) | −340.225 | + | 39.7666i | −0.386619 | + | 0.0451893i | ||||
\(881\) | 486.770 | + | 580.110i | 0.552520 | + | 0.658468i | 0.967946 | − | 0.251159i | \(-0.0808117\pi\) |
−0.415425 | + | 0.909627i | \(0.636367\pi\) | |||||||
\(882\) | 456.013 | − | 393.997i | 0.517022 | − | 0.446708i | ||||
\(883\) | 564.136 | + | 473.366i | 0.638886 | + | 0.536089i | 0.903676 | − | 0.428217i | \(-0.140858\pi\) |
−0.264790 | + | 0.964306i | \(0.585303\pi\) | |||||||
\(884\) | −7.98283 | + | 12.1373i | −0.00903035 | + | 0.0137300i | ||||
\(885\) | 912.689 | − | 1722.33i | 1.03129 | − | 1.94614i | ||||
\(886\) | −135.911 | + | 182.560i | −0.153398 | + | 0.206050i | ||||
\(887\) | −398.300 | + | 793.080i | −0.449042 | + | 0.894115i | 0.549248 | + | 0.835659i | \(0.314914\pi\) |
−0.998290 | + | 0.0584563i | \(0.981382\pi\) | |||||||
\(888\) | 388.239 | − | 393.884i | 0.437206 | − | 0.443563i | ||||
\(889\) | 303.096 | + | 71.8351i | 0.340941 | + | 0.0808044i | ||||
\(890\) | − | 1065.27i | − | 1.19694i | ||||||
\(891\) | −698.149 | − | 277.533i | −0.783557 | − | 0.311484i | ||||
\(892\) | 371.801 | 0.416817 | ||||||||
\(893\) | −48.4354 | + | 204.365i | −0.0542390 | + | 0.228852i | ||||
\(894\) | 300.116 | − | 1153.28i | 0.335700 | − | 1.29002i | ||||
\(895\) | −937.658 | − | 470.909i | −1.04766 | − | 0.526156i | ||||
\(896\) | −11.6631 | − | 8.68284i | −0.0130168 | − | 0.00969067i | ||||
\(897\) | −1121.38 | + | 702.901i | −1.25014 | + | 0.783613i | ||||
\(898\) | −692.235 | − | 455.290i | −0.770863 | − | 0.507004i | ||||
\(899\) | −105.107 | + | 125.261i | −0.116915 | + | 0.139334i | ||||
\(900\) | −385.549 | − | 1013.52i | −0.428388 | − | 1.12613i | ||||
\(901\) | 6.09026 | − | 5.11034i | 0.00675945 | − | 0.00567185i | ||||
\(902\) | 56.4270 | + | 482.764i | 0.0625577 | + | 0.535215i | ||||
\(903\) | 81.7226 | − | 93.1765i | 0.0905012 | − | 0.103186i | ||||
\(904\) | 22.8973 | − | 76.4824i | 0.0253289 | − | 0.0846044i | ||||
\(905\) | −1127.32 | + | 1063.57i | −1.24566 | + | 1.17522i | ||||
\(906\) | −86.3897 | − | 561.486i | −0.0953529 | − | 0.619742i | ||||
\(907\) | 815.519 | + | 1095.43i | 0.899139 | + | 1.20775i | 0.977523 | + | 0.210829i | \(0.0676165\pi\) |
−0.0783843 | + | 0.996923i | \(0.524976\pi\) | |||||||
\(908\) | −194.526 | + | 34.3002i | −0.214236 | + | 0.0377755i | ||||
\(909\) | 1187.36 | + | 756.615i | 1.30623 | + | 0.832360i | ||||
\(910\) | −44.2507 | + | 250.958i | −0.0486272 | + | 0.275779i | ||||
\(911\) | 125.680 | + | 250.249i | 0.137958 | + | 0.274697i | 0.951994 | − | 0.306118i | \(-0.0990302\pi\) |
−0.814036 | + | 0.580815i | \(0.802734\pi\) | |||||||
\(912\) | −185.215 | + | 167.239i | −0.203087 | + | 0.183376i | ||||
\(913\) | −398.643 | − | 46.5947i | −0.436630 | − | 0.0510348i | ||||
\(914\) | 475.020 | + | 722.232i | 0.519715 | + | 0.790189i | ||||
\(915\) | −2091.96 | + | 198.248i | −2.28630 | + | 0.216664i | ||||
\(916\) | 144.960 | + | 484.200i | 0.158253 | + | 0.528603i | ||||
\(917\) | −152.487 | − | 88.0386i | −0.166289 | − | 0.0960072i | ||||
\(918\) | 12.4343 | + | 13.3775i | 0.0135450 | + | 0.0145724i | ||||
\(919\) | −90.9919 | − | 157.603i | −0.0990119 | − | 0.171494i | 0.812264 | − | 0.583290i | \(-0.198235\pi\) |
−0.911276 | + | 0.411796i | \(0.864902\pi\) | |||||||
\(920\) | 551.804 | + | 520.601i | 0.599787 | + | 0.565870i | ||||
\(921\) | −310.246 | − | 652.977i | −0.336857 | − | 0.708987i | ||||
\(922\) | 17.1467 | + | 294.397i | 0.0185973 | + | 0.319303i | ||||
\(923\) | −1245.43 | + | 537.227i | −1.34933 | + | 0.582045i | ||||
\(924\) | 43.9545 | − | 56.4219i | 0.0475698 | − | 0.0610626i | ||||
\(925\) | −228.309 | + | 3919.92i | −0.246821 | + | 4.23775i | ||||
\(926\) | 111.602 | + | 306.624i | 0.120520 | + | 0.331127i | ||||
\(927\) | 1065.40 | − | 477.924i | 1.14929 | − | 0.515559i | ||||
\(928\) | 55.2417 | + | 20.1063i | 0.0595277 | + | 0.0216663i | ||||
\(929\) | −58.8759 | − | 25.3966i | −0.0633755 | − | 0.0273375i | 0.364156 | − | 0.931338i | \(-0.381357\pi\) |
−0.427532 | + | 0.904000i | \(0.640617\pi\) | |||||||
\(930\) | −526.901 | − | 319.770i | −0.566560 | − | 0.343839i | ||||
\(931\) | 958.093 | − | 227.072i | 1.02910 | − | 0.243902i | ||||
\(932\) | −38.5016 | − | 162.451i | −0.0413108 | − | 0.174304i | ||||
\(933\) | −625.145 | − | 13.6747i | −0.670038 | − | 0.0146567i | ||||
\(934\) | −160.963 | + | 373.154i | −0.172337 | + | 0.399522i | ||||
\(935\) | −14.0093 | + | 38.4903i | −0.0149832 | + | 0.0411661i | ||||
\(936\) | −347.918 | − | 168.487i | −0.371708 | − | 0.180007i | ||||
\(937\) | −428.141 | + | 155.831i | −0.456928 | + | 0.166308i | −0.560222 | − | 0.828343i | \(-0.689284\pi\) |
0.103294 | + | 0.994651i | \(0.467062\pi\) | |||||||
\(938\) | 71.7927 | + | 4.18145i | 0.0765381 | + | 0.00445784i | ||||
\(939\) | −32.3323 | + | 13.1158i | −0.0344327 | + | 0.0139678i | ||||
\(940\) | 73.8662 | + | 171.241i | 0.0785810 | + | 0.182171i | ||||
\(941\) | 15.3409 | − | 0.893504i | 0.0163027 | − | 0.000949527i | −0.0499915 | − | 0.998750i | \(-0.515919\pi\) |
0.0662943 | + | 0.997800i | \(0.478882\pi\) | |||||||
\(942\) | 197.620 | + | 136.260i | 0.209787 | + | 0.144649i | ||||
\(943\) | 738.710 | − | 782.987i | 0.783361 | − | 0.830315i | ||||
\(944\) | −243.780 | + | 140.747i | −0.258242 | + | 0.149096i | ||||
\(945\) | 293.223 | + | 129.078i | 0.310289 | + | 0.136591i | ||||
\(946\) | −210.825 | + | 365.159i | −0.222859 | + | 0.386003i | ||||
\(947\) | 1247.83 | − | 373.576i | 1.31767 | − | 0.394484i | 0.450623 | − | 0.892714i | \(-0.351202\pi\) |
0.867044 | + | 0.498231i | \(0.166017\pi\) | |||||||
\(948\) | −648.398 | − | 296.674i | −0.683964 | − | 0.312947i | ||||
\(949\) | −1619.84 | + | 1065.39i | −1.70689 | + | 1.12264i | ||||
\(950\) | 205.683 | − | 1759.73i | 0.216509 | − | 1.85235i | ||||
\(951\) | −421.665 | + | 1303.96i | −0.443391 | + | 1.37115i | ||||
\(952\) | −1.55376 | + | 0.780329i | −0.00163210 | + | 0.000819673i | ||||
\(953\) | −769.614 | − | 135.704i | −0.807570 | − | 0.142396i | −0.245404 | − | 0.969421i | \(-0.578921\pi\) |
−0.562166 | + | 0.827025i | \(0.690032\pi\) | |||||||
\(954\) | 155.960 | + | 142.942i | 0.163480 | + | 0.149835i | ||||
\(955\) | −144.012 | − | 816.731i | −0.150798 | − | 0.855216i | ||||
\(956\) | 191.978 | − | 142.922i | 0.200814 | − | 0.149500i | ||||
\(957\) | −104.820 | + | 269.501i | −0.109530 | + | 0.281610i | ||||
\(958\) | 165.709 | + | 175.641i | 0.172974 | + | 0.183342i | ||||
\(959\) | −89.3786 | − | 26.7582i | −0.0931997 | − | 0.0279022i | ||||
\(960\) | −43.2410 | + | 217.325i | −0.0450427 | + | 0.226380i | ||||
\(961\) | 708.598 | − | 82.8233i | 0.737355 | − | 0.0861845i | ||||
\(962\) | 899.758 | + | 1072.29i | 0.935300 | + | 1.11465i | ||||
\(963\) | 1596.44 | − | 23.0473i | 1.65778 | − | 0.0239328i | ||||
\(964\) | 43.3801 | + | 36.4002i | 0.0450001 | + | 0.0377595i | ||||
\(965\) | 1444.21 | − | 2195.82i | 1.49659 | − | 2.27546i | ||||
\(966\) | −158.296 | + | 5.74973i | −0.163868 | + | 0.00595210i | ||||
\(967\) | 290.812 | − | 390.629i | 0.300737 | − | 0.403959i | −0.625909 | − | 0.779896i | \(-0.715272\pi\) |
0.926645 | + | 0.375937i | \(0.122679\pi\) | |||||||
\(968\) | 44.3920 | − | 88.3917i | 0.0458595 | − | 0.0913138i | ||||
\(969\) | 7.93112 | + | 28.7672i | 0.00818485 | + | 0.0296875i | ||||
\(970\) | −1781.36 | − | 422.189i | −1.83645 | − | 0.435247i | ||||
\(971\) | 504.774i | 0.519850i | 0.965629 | + | 0.259925i | \(0.0836979\pi\) | ||||
−0.965629 | + | 0.259925i | \(0.916302\pi\) | |||||||
\(972\) | −309.781 | + | 374.475i | −0.318705 | + | 0.385263i | ||||
\(973\) | −101.696 | −0.104518 | ||||||||
\(974\) | −104.220 | + | 439.740i | −0.107002 | + | 0.451478i | ||||
\(975\) | 2645.81 | − | 729.452i | 2.71365 | − | 0.748155i | ||||
\(976\) | 271.184 | + | 136.194i | 0.277852 | + | 0.139543i | ||||
\(977\) | −1122.68 | − | 835.807i | −1.14911 | − | 0.855483i | −0.157860 | − | 0.987461i | \(-0.550460\pi\) |
−0.991253 | + | 0.131979i | \(0.957867\pi\) | |||||||
\(978\) | 11.8471 | + | 326.163i | 0.0121136 | + | 0.333500i | ||||
\(979\) | −632.237 | − | 415.829i | −0.645798 | − | 0.424748i | ||||
\(980\) | 561.994 | − | 669.758i | 0.573463 | − | 0.683427i | ||||
\(981\) | −258.563 | − | 144.346i | −0.263571 | − | 0.147141i | ||||
\(982\) | −199.088 | + | 167.054i | −0.202737 | + | 0.170116i | ||||
\(983\) | −3.24176 | − | 27.7350i | −0.00329782 | − | 0.0282147i | 0.991489 | − | 0.130189i | \(-0.0415583\pi\) |
−0.994787 | + | 0.101974i | \(0.967484\pi\) | |||||||
\(984\) | 308.375 | + | 61.3571i | 0.313389 | + | 0.0623547i | ||||
\(985\) | 737.984 | − | 2465.04i | 0.749223 | − | 2.50258i | ||||
\(986\) | 5.11319 | − | 4.82405i | 0.00518580 | − | 0.00489255i | ||||
\(987\) | −36.2913 | − | 14.1152i | −0.0367693 | − | 0.0143011i | ||||
\(988\) | −377.163 | − | 506.618i | −0.381744 | − | 0.512771i | ||||
\(989\) | 919.640 | − | 162.157i | 0.929869 | − | 0.163961i | ||||
\(990\) | −1064.10 | − | 236.026i | −1.07484 | − | 0.238410i | ||||
\(991\) | −273.407 | + | 1550.57i | −0.275890 | + | 1.56465i | 0.460231 | + | 0.887799i | \(0.347767\pi\) |
−0.736121 | + | 0.676850i | \(0.763345\pi\) | |||||||
\(992\) | 39.9469 | + | 79.5408i | 0.0402690 | + | 0.0801822i | ||||
\(993\) | −89.4887 | − | 28.9382i | −0.0901195 | − | 0.0291422i | ||||
\(994\) | −161.240 | − | 18.8462i | −0.162213 | − | 0.0189600i | ||||
\(995\) | 1181.10 | + | 1795.77i | 1.18703 | + | 1.80480i | ||||
\(996\) | −108.024 | + | 236.093i | −0.108458 | + | 0.237041i | ||||
\(997\) | −50.8072 | − | 169.708i | −0.0509601 | − | 0.170219i | 0.928721 | − | 0.370778i | \(-0.120909\pi\) |
−0.979681 | + | 0.200560i | \(0.935724\pi\) | |||||||
\(998\) | −866.663 | − | 500.368i | −0.868400 | − | 0.501371i | ||||
\(999\) | 1578.46 | − | 778.092i | 1.58004 | − | 0.778870i |
(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 | 162.3.h.a.65.9 | yes | 324 | |
81.5 | odd | 54 | inner | 162.3.h.a.5.9 | ✓ | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.3.h.a.5.9 | ✓ | 324 | 81.5 | odd | 54 | inner | |
162.3.h.a.65.9 | yes | 324 | 1.1 | even | 1 | trivial |