Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(4,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.t (of order \(78\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 4.10 | ||
Character | \(\chi\) | \(=\) | 507.4 |
Dual form | 507.2.t.b.127.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{78}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.989614 | + | 0.0398801i | 0.699763 | + | 0.0281995i | 0.387598 | − | 0.921828i | \(-0.373305\pi\) |
0.312165 | + | 0.950028i | \(0.398946\pi\) | |||||||
\(3\) | −0.278217 | + | 0.960518i | −0.160629 | + | 0.554555i | ||||
\(4\) | −1.01577 | − | 0.0820013i | −0.507884 | − | 0.0410007i | ||||
\(5\) | −0.558145 | − | 0.211676i | −0.249610 | − | 0.0946646i | 0.226627 | − | 0.973982i | \(-0.427230\pi\) |
−0.476237 | + | 0.879317i | \(0.657999\pi\) | |||||||
\(6\) | −0.313633 | + | 0.939447i | −0.128040 | + | 0.383528i | ||||
\(7\) | −0.641263 | − | 1.50510i | −0.242375 | − | 0.568874i | 0.753717 | − | 0.657199i | \(-0.228259\pi\) |
−0.996092 | + | 0.0883249i | \(0.971849\pi\) | |||||||
\(8\) | −2.96834 | − | 0.360422i | −1.04947 | − | 0.127428i | ||||
\(9\) | −0.845190 | − | 0.534466i | −0.281730 | − | 0.178155i | ||||
\(10\) | −0.543906 | − | 0.231737i | −0.171998 | − | 0.0732816i | ||||
\(11\) | −2.44860 | − | 3.87215i | −0.738280 | − | 1.16750i | −0.980355 | − | 0.197239i | \(-0.936803\pi\) |
0.242076 | − | 0.970257i | \(-0.422172\pi\) | |||||||
\(12\) | 0.361368 | − | 0.952850i | 0.104318 | − | 0.275064i | ||||
\(13\) | 1.96798 | − | 3.02110i | 0.545820 | − | 0.837903i | ||||
\(14\) | −0.574579 | − | 1.51504i | −0.153563 | − | 0.404912i | ||||
\(15\) | 0.358605 | − | 0.477216i | 0.0925913 | − | 0.123217i | ||||
\(16\) | −0.911385 | − | 0.148115i | −0.227846 | − | 0.0370286i | ||||
\(17\) | −0.332470 | + | 0.141652i | −0.0806359 | + | 0.0343557i | −0.431908 | − | 0.901918i | \(-0.642159\pi\) |
0.351272 | + | 0.936273i | \(0.385749\pi\) | |||||||
\(18\) | −0.815097 | − | 0.562621i | −0.192120 | − | 0.132611i | ||||
\(19\) | −0.690025 | + | 0.398386i | −0.158303 | + | 0.0913961i | −0.577059 | − | 0.816703i | \(-0.695800\pi\) |
0.418756 | + | 0.908099i | \(0.362466\pi\) | |||||||
\(20\) | 0.549588 | + | 0.260783i | 0.122892 | + | 0.0583128i | ||||
\(21\) | 1.62409 | − | 0.197200i | 0.354405 | − | 0.0430325i | ||||
\(22\) | −2.26874 | − | 3.92958i | −0.483698 | − | 0.837790i | ||||
\(23\) | 1.00673 | − | 1.74370i | 0.209917 | − | 0.363587i | −0.741771 | − | 0.670653i | \(-0.766014\pi\) |
0.951688 | + | 0.307066i | \(0.0993472\pi\) | |||||||
\(24\) | 1.17204 | − | 2.75087i | 0.239241 | − | 0.561519i | ||||
\(25\) | −3.47583 | − | 3.07932i | −0.695167 | − | 0.615864i | ||||
\(26\) | 2.06802 | − | 2.91124i | 0.405573 | − | 0.570941i | ||||
\(27\) | 0.748511 | − | 0.663123i | 0.144051 | − | 0.127618i | ||||
\(28\) | 0.527955 | + | 1.58142i | 0.0997741 | + | 0.298860i | ||||
\(29\) | −0.0115167 | + | 0.285785i | −0.00213860 | + | 0.0530689i | −0.999906 | − | 0.0137173i | \(-0.995634\pi\) |
0.997767 | + | 0.0667862i | \(0.0212745\pi\) | |||||||
\(30\) | 0.373912 | − | 0.457959i | 0.0682666 | − | 0.0836114i | ||||
\(31\) | 3.83378 | + | 4.32745i | 0.688568 | + | 0.777232i | 0.984007 | − | 0.178129i | \(-0.0570045\pi\) |
−0.295439 | + | 0.955362i | \(0.595466\pi\) | |||||||
\(32\) | 4.96341 | + | 1.01329i | 0.877416 | + | 0.179126i | ||||
\(33\) | 4.40051 | − | 1.27462i | 0.766030 | − | 0.221883i | ||||
\(34\) | −0.334666 | + | 0.126922i | −0.0573948 | + | 0.0217670i | ||||
\(35\) | 0.0393235 | + | 0.975804i | 0.00664689 | + | 0.164941i | ||||
\(36\) | 0.814691 | + | 0.612201i | 0.135782 | + | 0.102033i | ||||
\(37\) | −10.2465 | + | 2.09183i | −1.68451 | + | 0.343895i | −0.944452 | − | 0.328651i | \(-0.893406\pi\) |
−0.740056 | + | 0.672545i | \(0.765201\pi\) | |||||||
\(38\) | −0.698746 | + | 0.366730i | −0.113352 | + | 0.0594915i | ||||
\(39\) | 2.35430 | + | 2.73080i | 0.376989 | + | 0.437279i | ||||
\(40\) | 1.58047 | + | 0.829495i | 0.249894 | + | 0.131155i | ||||
\(41\) | −10.9589 | − | 3.17428i | −1.71149 | − | 0.495740i | −0.729392 | − | 0.684096i | \(-0.760197\pi\) |
−0.982101 | + | 0.188356i | \(0.939684\pi\) | |||||||
\(42\) | 1.61508 | − | 0.130383i | 0.249213 | − | 0.0201185i | ||||
\(43\) | 0.0781354 | − | 0.382732i | 0.0119155 | − | 0.0583661i | −0.973398 | − | 0.229120i | \(-0.926415\pi\) |
0.985314 | + | 0.170754i | \(0.0546203\pi\) | |||||||
\(44\) | 2.16969 | + | 4.13399i | 0.327093 | + | 0.623223i | ||||
\(45\) | 0.358605 | + | 0.477216i | 0.0534576 | + | 0.0711392i | ||||
\(46\) | 1.06581 | − | 1.68545i | 0.157145 | − | 0.248505i | ||||
\(47\) | −3.09548 | + | 2.13666i | −0.451522 | + | 0.311663i | −0.772034 | − | 0.635581i | \(-0.780761\pi\) |
0.320512 | + | 0.947245i | \(0.396145\pi\) | |||||||
\(48\) | 0.395830 | − | 0.834194i | 0.0571331 | − | 0.120406i | ||||
\(49\) | 2.99496 | − | 3.11809i | 0.427852 | − | 0.445441i | ||||
\(50\) | −3.31693 | − | 3.18596i | −0.469085 | − | 0.450562i | ||||
\(51\) | −0.0435606 | − | 0.358754i | −0.00609970 | − | 0.0502356i | ||||
\(52\) | −2.24675 | + | 2.90736i | −0.311568 | + | 0.403179i | ||||
\(53\) | 0.293506 | − | 2.41724i | 0.0403161 | − | 0.332033i | −0.958570 | − | 0.284856i | \(-0.908054\pi\) |
0.998887 | − | 0.0471775i | \(-0.0150227\pi\) | |||||||
\(54\) | 0.767182 | − | 0.626385i | 0.104400 | − | 0.0852402i | ||||
\(55\) | 0.547030 | + | 2.67953i | 0.0737615 | + | 0.361308i | ||||
\(56\) | 1.36102 | + | 4.69877i | 0.181873 | + | 0.627900i | ||||
\(57\) | −0.190680 | − | 0.773620i | −0.0252562 | − | 0.102468i | ||||
\(58\) | −0.0227942 | + | 0.282357i | −0.00299303 | + | 0.0370753i | ||||
\(59\) | −0.349333 | − | 2.14953i | −0.0454793 | − | 0.279845i | 0.954343 | − | 0.298714i | \(-0.0965576\pi\) |
−0.999822 | + | 0.0188688i | \(0.993994\pi\) | |||||||
\(60\) | −0.403392 | + | 0.455335i | −0.0520777 | + | 0.0587835i | ||||
\(61\) | 10.2857 | − | 7.72924i | 1.31696 | − | 0.989628i | 0.317816 | − | 0.948152i | \(-0.397051\pi\) |
0.999140 | − | 0.0414752i | \(-0.0132058\pi\) | |||||||
\(62\) | 3.62139 | + | 4.43539i | 0.459917 | + | 0.563296i | ||||
\(63\) | −0.262435 | + | 1.61483i | −0.0330637 | + | 0.203449i | ||||
\(64\) | 6.66448 | + | 1.64265i | 0.833060 | + | 0.205331i | ||||
\(65\) | −1.73791 | + | 1.26964i | −0.215562 | + | 0.157479i | ||||
\(66\) | 4.40564 | − | 1.08589i | 0.542297 | − | 0.133664i | ||||
\(67\) | 0.753898 | + | 9.33870i | 0.0921033 | + | 1.14090i | 0.863431 | + | 0.504466i | \(0.168311\pi\) |
−0.771328 | + | 0.636438i | \(0.780407\pi\) | |||||||
\(68\) | 0.349329 | − | 0.116623i | 0.0423623 | − | 0.0141426i | ||||
\(69\) | 1.39477 | + | 1.45211i | 0.167911 | + | 0.174813i | ||||
\(70\) | 0.967237i | 0.115607i | ||||||||
\(71\) | −8.16152 | + | 7.83925i | −0.968595 | + | 0.930348i | −0.997601 | − | 0.0692314i | \(-0.977945\pi\) |
0.0290059 | + | 0.999579i | \(0.490766\pi\) | |||||||
\(72\) | 2.31618 | + | 1.89110i | 0.272964 | + | 0.222869i | ||||
\(73\) | 2.21752 | − | 4.22514i | 0.259541 | − | 0.494515i | −0.720462 | − | 0.693494i | \(-0.756070\pi\) |
0.980004 | + | 0.198979i | \(0.0637626\pi\) | |||||||
\(74\) | −10.2235 | + | 1.66147i | −1.18845 | + | 0.193142i | ||||
\(75\) | 3.92478 | − | 2.48188i | 0.453195 | − | 0.286583i | ||||
\(76\) | 0.733574 | − | 0.348085i | 0.0841467 | − | 0.0399281i | ||||
\(77\) | −4.25777 | + | 6.16845i | −0.485218 | + | 0.702960i | ||||
\(78\) | 2.22094 | + | 2.79633i | 0.251472 | + | 0.316622i | ||||
\(79\) | 0.0289487 | + | 0.0419394i | 0.00325698 | + | 0.00471856i | 0.824609 | − | 0.565703i | \(-0.191395\pi\) |
−0.821352 | + | 0.570422i | \(0.806780\pi\) | |||||||
\(80\) | 0.477333 | + | 0.275588i | 0.0533674 | + | 0.0308117i | ||||
\(81\) | 0.428693 | + | 0.903450i | 0.0476325 | + | 0.100383i | ||||
\(82\) | −10.7185 | − | 3.57836i | −1.18366 | − | 0.395164i | ||||
\(83\) | −0.274298 | + | 1.11287i | −0.0301082 | + | 0.122154i | −0.984073 | − | 0.177765i | \(-0.943113\pi\) |
0.953965 | + | 0.299919i | \(0.0969595\pi\) | |||||||
\(84\) | −1.66587 | + | 0.0671321i | −0.181761 | + | 0.00732472i | ||||
\(85\) | 0.215551 | − | 0.00868641i | 0.0233798 | − | 0.000942173i | ||||
\(86\) | 0.0925872 | − | 0.375641i | 0.00998394 | − | 0.0405064i | ||||
\(87\) | −0.271297 | − | 0.0905723i | −0.0290861 | − | 0.00971037i | ||||
\(88\) | 5.87267 | + | 12.3764i | 0.626028 | + | 1.31933i | ||||
\(89\) | 2.30195 | + | 1.32903i | 0.244006 | + | 0.140877i | 0.617016 | − | 0.786950i | \(-0.288341\pi\) |
−0.373011 | + | 0.927827i | \(0.621675\pi\) | |||||||
\(90\) | 0.335849 | + | 0.486561i | 0.0354016 | + | 0.0512880i | ||||
\(91\) | −5.80905 | − | 1.02469i | −0.608954 | − | 0.107416i | ||||
\(92\) | −1.16559 | + | 1.68865i | −0.121521 | + | 0.176054i | ||||
\(93\) | −5.22322 | + | 2.47845i | −0.541622 | + | 0.257003i | ||||
\(94\) | −3.14854 | + | 1.99102i | −0.324747 | + | 0.205358i | ||||
\(95\) | 0.469463 | − | 0.0762951i | 0.0481659 | − | 0.00782772i | ||||
\(96\) | −2.35419 | + | 4.48554i | −0.240274 | + | 0.457803i | ||||
\(97\) | 11.5580 | + | 9.43681i | 1.17354 | + | 0.958163i | 0.999646 | − | 0.0266018i | \(-0.00846861\pi\) |
0.173891 | + | 0.984765i | \(0.444366\pi\) | |||||||
\(98\) | 3.08821 | − | 2.96626i | 0.311956 | − | 0.299638i | ||||
\(99\) | 4.58139i | 0.460447i | ||||||||
\(100\) | 3.27814 | + | 3.41290i | 0.327814 | + | 0.341290i | ||||
\(101\) | −0.517934 | + | 0.172912i | −0.0515364 | + | 0.0172054i | −0.342319 | − | 0.939584i | \(-0.611212\pi\) |
0.290783 | + | 0.956789i | \(0.406084\pi\) | |||||||
\(102\) | −0.0288010 | − | 0.356765i | −0.00285173 | − | 0.0353250i | ||||
\(103\) | 14.5901 | − | 3.59615i | 1.43761 | − | 0.354339i | 0.557922 | − | 0.829893i | \(-0.311599\pi\) |
0.879686 | + | 0.475554i | \(0.157753\pi\) | |||||||
\(104\) | −6.93051 | + | 8.25836i | −0.679592 | + | 0.809798i | ||||
\(105\) | −0.948218 | − | 0.233715i | −0.0925366 | − | 0.0228082i | ||||
\(106\) | 0.386857 | − | 2.38043i | 0.0375749 | − | 0.231208i | ||||
\(107\) | −5.09147 | − | 6.23592i | −0.492211 | − | 0.602849i | 0.467446 | − | 0.884022i | \(-0.345174\pi\) |
−0.959657 | + | 0.281172i | \(0.909277\pi\) | |||||||
\(108\) | −0.814691 | + | 0.612201i | −0.0783937 | + | 0.0589090i | ||||
\(109\) | 6.04305 | − | 6.82119i | 0.578819 | − | 0.653352i | −0.384052 | − | 0.923311i | \(-0.625472\pi\) |
0.962872 | + | 0.269959i | \(0.0870103\pi\) | |||||||
\(110\) | 0.434489 | + | 2.67352i | 0.0414269 | + | 0.254910i | ||||
\(111\) | 0.841504 | − | 10.4239i | 0.0798720 | − | 0.989392i | ||||
\(112\) | 0.361510 | + | 1.46671i | 0.0341595 | + | 0.138591i | ||||
\(113\) | −4.95308 | − | 17.1000i | −0.465947 | − | 1.60864i | −0.758014 | − | 0.652238i | \(-0.773830\pi\) |
0.292067 | − | 0.956398i | \(-0.405657\pi\) | |||||||
\(114\) | −0.157848 | − | 0.773189i | −0.0147838 | − | 0.0724158i | ||||
\(115\) | −0.931001 | + | 0.760139i | −0.0868163 | + | 0.0708833i | ||||
\(116\) | 0.0351331 | − | 0.289347i | 0.00326202 | − | 0.0268652i | ||||
\(117\) | −3.27799 | + | 1.50159i | −0.303051 | + | 0.138822i | ||||
\(118\) | −0.259981 | − | 2.14114i | −0.0239332 | − | 0.197108i | ||||
\(119\) | 0.426402 | + | 0.409564i | 0.0390882 | + | 0.0375447i | ||||
\(120\) | −1.23646 | + | 1.28729i | −0.112873 | + | 0.117513i | ||||
\(121\) | −4.28227 | + | 9.02470i | −0.389298 | + | 0.820427i | ||||
\(122\) | 10.4872 | − | 7.23877i | 0.949463 | − | 0.655367i | ||||
\(123\) | 6.09792 | − | 9.64308i | 0.549831 | − | 0.869487i | ||||
\(124\) | −3.53938 | − | 4.71006i | −0.317846 | − | 0.422976i | ||||
\(125\) | 2.67525 | + | 5.09726i | 0.239282 | + | 0.455913i | ||||
\(126\) | −0.324109 | + | 1.58759i | −0.0288739 | + | 0.141434i | ||||
\(127\) | −10.1227 | + | 0.817189i | −0.898244 | + | 0.0725138i | −0.520957 | − | 0.853583i | \(-0.674425\pi\) |
−0.377287 | + | 0.926096i | \(0.623143\pi\) | |||||||
\(128\) | −3.20182 | − | 0.927417i | −0.283003 | − | 0.0819729i | ||||
\(129\) | 0.345883 | + | 0.181533i | 0.0304533 | + | 0.0159831i | ||||
\(130\) | −1.77050 | + | 1.18714i | −0.155283 | + | 0.104119i | ||||
\(131\) | −9.30852 | + | 4.88549i | −0.813289 | + | 0.426847i | −0.819462 | − | 0.573134i | \(-0.805727\pi\) |
0.00617282 | + | 0.999981i | \(0.498035\pi\) | |||||||
\(132\) | −4.57442 | + | 0.933875i | −0.398152 | + | 0.0812834i | ||||
\(133\) | 1.04210 | + | 0.783086i | 0.0903614 | + | 0.0679022i | ||||
\(134\) | 0.373640 | + | 9.27178i | 0.0322776 | + | 0.800960i | ||||
\(135\) | −0.558145 | + | 0.211676i | −0.0480375 | + | 0.0182182i | ||||
\(136\) | 1.03794 | − | 0.300643i | 0.0890026 | − | 0.0257799i | ||||
\(137\) | 21.5147 | + | 4.39226i | 1.83813 | + | 0.375256i | 0.988388 | − | 0.151951i | \(-0.0485555\pi\) |
0.849737 | + | 0.527207i | \(0.176761\pi\) | |||||||
\(138\) | 1.32237 | + | 1.49265i | 0.112568 | + | 0.127063i | ||||
\(139\) | 8.87511 | − | 10.8700i | 0.752777 | − | 0.921984i | −0.246106 | − | 0.969243i | \(-0.579151\pi\) |
0.998883 | + | 0.0472587i | \(0.0150485\pi\) | |||||||
\(140\) | 0.0400736 | − | 0.994416i | 0.00338684 | − | 0.0840435i | ||||
\(141\) | −1.19108 | − | 3.56772i | −0.100307 | − | 0.300456i | ||||
\(142\) | −8.38939 | + | 7.43235i | −0.704022 | + | 0.623709i | ||||
\(143\) | −16.5169 | − | 0.222851i | −1.38122 | − | 0.0186357i | ||||
\(144\) | 0.691132 | + | 0.612289i | 0.0575943 | + | 0.0510241i | ||||
\(145\) | 0.0669219 | − | 0.157071i | 0.00555756 | − | 0.0130441i | ||||
\(146\) | 2.36299 | − | 4.09282i | 0.195563 | − | 0.338724i | ||||
\(147\) | 2.16173 | + | 3.74422i | 0.178296 | + | 0.308818i | ||||
\(148\) | 10.5796 | − | 1.28459i | 0.869635 | − | 0.105593i | ||||
\(149\) | −8.11385 | − | 3.85007i | −0.664712 | − | 0.315410i | 0.0662745 | − | 0.997801i | \(-0.478889\pi\) |
−0.730987 | + | 0.682391i | \(0.760940\pi\) | |||||||
\(150\) | 3.98300 | − | 2.29958i | 0.325210 | − | 0.187760i | ||||
\(151\) | 16.2499 | + | 11.2165i | 1.32240 | + | 0.912788i | 0.999435 | − | 0.0336222i | \(-0.0107043\pi\) |
0.322967 | + | 0.946410i | \(0.395320\pi\) | |||||||
\(152\) | 2.19182 | − | 0.933846i | 0.177780 | − | 0.0757449i | ||||
\(153\) | 0.356709 | + | 0.0579708i | 0.0288382 | + | 0.00468666i | ||||
\(154\) | −4.45955 | + | 5.93458i | −0.359361 | + | 0.478222i | ||||
\(155\) | −1.22379 | − | 3.22686i | −0.0982970 | − | 0.259188i | ||||
\(156\) | −2.16749 | − | 2.96692i | −0.173538 | − | 0.237544i | ||||
\(157\) | 1.37163 | − | 3.61669i | 0.109468 | − | 0.288643i | −0.869077 | − | 0.494677i | \(-0.835286\pi\) |
0.978545 | + | 0.206034i | \(0.0660557\pi\) | |||||||
\(158\) | 0.0269755 | + | 0.0426583i | 0.00214606 | + | 0.00339371i | ||||
\(159\) | 2.24014 | + | 0.954436i | 0.177655 | + | 0.0756917i | ||||
\(160\) | −2.55582 | − | 1.61620i | −0.202055 | − | 0.127772i | ||||
\(161\) | −3.27002 | − | 0.397053i | −0.257714 | − | 0.0312921i | ||||
\(162\) | 0.388211 | + | 0.911164i | 0.0305007 | + | 0.0715878i | ||||
\(163\) | 2.15496 | − | 6.45490i | 0.168790 | − | 0.505587i | −0.829835 | − | 0.558008i | \(-0.811566\pi\) |
0.998625 | + | 0.0524214i | \(0.0166939\pi\) | |||||||
\(164\) | 10.8714 | + | 4.12298i | 0.848915 | + | 0.321951i | ||||
\(165\) | −2.72593 | − | 0.220060i | −0.212213 | − | 0.0171316i | ||||
\(166\) | −0.315831 | + | 1.09037i | −0.0245132 | + | 0.0846295i | ||||
\(167\) | −19.7789 | − | 0.797063i | −1.53054 | − | 0.0616786i | −0.739380 | − | 0.673289i | \(-0.764881\pi\) |
−0.791159 | + | 0.611610i | \(0.790522\pi\) | |||||||
\(168\) | −4.89192 | −0.377419 | ||||||||
\(169\) | −5.25410 | − | 11.8909i | −0.404162 | − | 0.914688i | ||||
\(170\) | 0.213659 | 0.0163869 | ||||||||
\(171\) | 0.796126 | + | 0.0320828i | 0.0608813 | + | 0.00245343i | ||||
\(172\) | −0.110752 | + | 0.382360i | −0.00844476 | + | 0.0291547i | ||||
\(173\) | 9.93724 | + | 0.802217i | 0.755514 | + | 0.0609914i | 0.452221 | − | 0.891906i | \(-0.350632\pi\) |
0.303293 | + | 0.952897i | \(0.401914\pi\) | |||||||
\(174\) | −0.264867 | − | 0.100451i | −0.0200796 | − | 0.00761517i | ||||
\(175\) | −2.40576 | + | 7.20613i | −0.181858 | + | 0.544732i | ||||
\(176\) | 1.65809 | + | 3.89169i | 0.124984 | + | 0.293347i | ||||
\(177\) | 2.16185 | + | 0.262497i | 0.162495 | + | 0.0197305i | ||||
\(178\) | 2.22504 | + | 1.40703i | 0.166774 | + | 0.105461i | ||||
\(179\) | 8.76633 | + | 3.73498i | 0.655226 | + | 0.279166i | 0.693884 | − | 0.720087i | \(-0.255898\pi\) |
−0.0386579 | + | 0.999253i | \(0.512308\pi\) | |||||||
\(180\) | −0.325127 | − | 0.514147i | −0.0242335 | − | 0.0383223i | ||||
\(181\) | 6.22398 | − | 16.4113i | 0.462625 | − | 1.21984i | −0.477385 | − | 0.878694i | \(-0.658415\pi\) |
0.940010 | − | 0.341147i | \(-0.110815\pi\) | |||||||
\(182\) | −5.70785 | − | 1.24571i | −0.423094 | − | 0.0923382i | ||||
\(183\) | 4.56240 | + | 12.0301i | 0.337262 | + | 0.889287i | ||||
\(184\) | −3.61678 | + | 4.81306i | −0.266633 | + | 0.354823i | ||||
\(185\) | 6.16180 | + | 1.00139i | 0.453024 | + | 0.0736236i | ||||
\(186\) | −5.26781 | + | 2.24440i | −0.386255 | + | 0.164568i | ||||
\(187\) | 1.36258 | + | 0.940524i | 0.0996420 | + | 0.0687779i | ||||
\(188\) | 3.31950 | − | 1.91652i | 0.242100 | − | 0.139776i | ||||
\(189\) | −1.47806 | − | 0.701347i | −0.107513 | − | 0.0510155i | ||||
\(190\) | 0.467630 | − | 0.0567805i | 0.0339254 | − | 0.00411929i | ||||
\(191\) | −6.67815 | − | 11.5669i | −0.483214 | − | 0.836952i | 0.516600 | − | 0.856227i | \(-0.327197\pi\) |
−0.999814 | + | 0.0192753i | \(0.993864\pi\) | |||||||
\(192\) | −3.43197 | + | 5.94434i | −0.247681 | + | 0.428996i | ||||
\(193\) | 3.56156 | − | 8.35928i | 0.256366 | − | 0.601714i | −0.741212 | − | 0.671272i | \(-0.765748\pi\) |
0.997578 | + | 0.0695575i | \(0.0221587\pi\) | |||||||
\(194\) | 11.0616 | + | 9.79974i | 0.794178 | + | 0.703580i | ||||
\(195\) | −0.735991 | − | 2.02253i | −0.0527054 | − | 0.144837i | ||||
\(196\) | −3.29788 | + | 2.92167i | −0.235563 | + | 0.208690i | ||||
\(197\) | −6.28127 | − | 18.8147i | −0.447522 | − | 1.34049i | −0.894948 | − | 0.446171i | \(-0.852787\pi\) |
0.447426 | − | 0.894321i | \(-0.352341\pi\) | |||||||
\(198\) | −0.182706 | + | 4.53381i | −0.0129844 | + | 0.322204i | ||||
\(199\) | −5.70223 | + | 6.98396i | −0.404220 | + | 0.495080i | −0.936097 | − | 0.351742i | \(-0.885590\pi\) |
0.531877 | + | 0.846822i | \(0.321487\pi\) | |||||||
\(200\) | 9.20761 | + | 10.3932i | 0.651076 | + | 0.734913i | ||||
\(201\) | −9.17974 | − | 1.87406i | −0.647489 | − | 0.132186i | ||||
\(202\) | −0.519451 | + | 0.150461i | −0.0365484 | + | 0.0105864i | ||||
\(203\) | 0.437520 | − | 0.165929i | 0.0307079 | − | 0.0116460i | ||||
\(204\) | 0.0148292 | + | 0.367983i | 0.00103825 | + | 0.0257640i | ||||
\(205\) | 5.44473 | + | 4.09145i | 0.380277 | + | 0.285759i | ||||
\(206\) | 14.5820 | − | 2.97694i | 1.01598 | − | 0.207413i | ||||
\(207\) | −1.78283 | + | 0.935699i | −0.123915 | + | 0.0650356i | ||||
\(208\) | −2.24106 | + | 2.46190i | −0.155389 | + | 0.170702i | ||||
\(209\) | 3.23220 | + | 1.69639i | 0.223576 | + | 0.117342i | ||||
\(210\) | −0.929049 | − | 0.269102i | −0.0641105 | − | 0.0185698i | ||||
\(211\) | 4.73800 | − | 0.382491i | 0.326177 | − | 0.0263318i | 0.0837066 | − | 0.996490i | \(-0.473324\pi\) |
0.242471 | + | 0.970159i | \(0.422042\pi\) | |||||||
\(212\) | −0.496351 | + | 2.43129i | −0.0340895 | + | 0.166982i | ||||
\(213\) | −5.25906 | − | 10.0203i | −0.360345 | − | 0.686580i | ||||
\(214\) | −4.78990 | − | 6.37420i | −0.327431 | − | 0.435732i | ||||
\(215\) | −0.124626 | + | 0.197081i | −0.00849944 | + | 0.0134408i | ||||
\(216\) | −2.46084 | + | 1.69859i | −0.167439 | + | 0.115575i | ||||
\(217\) | 4.05477 | − | 8.54526i | 0.275256 | − | 0.580090i | ||||
\(218\) | 6.25232 | − | 6.50935i | 0.423460 | − | 0.440869i | ||||
\(219\) | 3.44137 | + | 3.30548i | 0.232546 | + | 0.223363i | ||||
\(220\) | −0.335931 | − | 2.76664i | −0.0226485 | − | 0.186527i | ||||
\(221\) | −0.226349 | + | 1.28319i | −0.0152259 | + | 0.0863170i | ||||
\(222\) | 1.24847 | − | 10.2821i | 0.0837918 | − | 0.690087i | ||||
\(223\) | −2.96399 | + | 2.42002i | −0.198484 | + | 0.162057i | −0.726475 | − | 0.687193i | \(-0.758843\pi\) |
0.527991 | + | 0.849250i | \(0.322945\pi\) | |||||||
\(224\) | −1.65775 | − | 8.12022i | −0.110763 | − | 0.542555i | ||||
\(225\) | 1.29195 | + | 4.46033i | 0.0861300 | + | 0.297355i | ||||
\(226\) | −4.21969 | − | 17.1200i | −0.280690 | − | 1.13880i | ||||
\(227\) | −1.63485 | + | 20.2513i | −0.108509 | + | 1.34412i | 0.681856 | + | 0.731487i | \(0.261173\pi\) |
−0.790365 | + | 0.612637i | \(0.790109\pi\) | |||||||
\(228\) | 0.130249 | + | 0.801455i | 0.00862596 | + | 0.0530776i | ||||
\(229\) | −4.82941 | + | 5.45127i | −0.319136 | + | 0.360230i | −0.886085 | − | 0.463523i | \(-0.846585\pi\) |
0.566949 | + | 0.823753i | \(0.308124\pi\) | |||||||
\(230\) | −0.951646 | + | 0.715115i | −0.0627497 | + | 0.0471533i | ||||
\(231\) | −4.74032 | − | 5.80584i | −0.311890 | − | 0.381996i | ||||
\(232\) | 0.137189 | − | 0.844155i | 0.00900687 | − | 0.0554215i | ||||
\(233\) | 15.1100 | + | 3.72429i | 0.989890 | + | 0.243986i | 0.700833 | − | 0.713326i | \(-0.252812\pi\) |
0.289058 | + | 0.957312i | \(0.406658\pi\) | |||||||
\(234\) | −3.30383 | + | 1.35526i | −0.215978 | + | 0.0885964i | ||||
\(235\) | 2.18001 | − | 0.537323i | 0.142208 | − | 0.0350511i | ||||
\(236\) | 0.178577 | + | 2.21207i | 0.0116244 | + | 0.143994i | ||||
\(237\) | −0.0483376 | + | 0.0161375i | −0.00313987 | + | 0.00104824i | ||||
\(238\) | 0.405640 | + | 0.422315i | 0.0262937 | + | 0.0273746i | ||||
\(239\) | 9.36882i | 0.606019i | 0.952988 | + | 0.303009i | \(0.0979914\pi\) | ||||
−0.952988 | + | 0.303009i | \(0.902009\pi\) | |||||||
\(240\) | −0.397510 | + | 0.381813i | −0.0256591 | + | 0.0246459i | ||||
\(241\) | −1.62306 | − | 1.32519i | −0.104550 | − | 0.0853627i | 0.578728 | − | 0.815520i | \(-0.303549\pi\) |
−0.683279 | + | 0.730158i | \(0.739447\pi\) | |||||||
\(242\) | −4.59770 | + | 8.76019i | −0.295552 | + | 0.563126i | ||||
\(243\) | −0.987050 | + | 0.160411i | −0.0633193 | + | 0.0102904i | ||||
\(244\) | −11.0818 | + | 7.00768i | −0.709437 | + | 0.448620i | ||||
\(245\) | −2.33165 | + | 1.10638i | −0.148964 | + | 0.0706841i | ||||
\(246\) | 6.41915 | − | 9.29974i | 0.409270 | − | 0.592930i | ||||
\(247\) | −0.154391 | + | 2.86865i | −0.00982368 | + | 0.182528i | ||||
\(248\) | −9.82027 | − | 14.2271i | −0.623588 | − | 0.903423i | ||||
\(249\) | −0.992619 | − | 0.573089i | −0.0629047 | − | 0.0363180i | ||||
\(250\) | 2.44419 | + | 5.15101i | 0.154584 | + | 0.325779i | ||||
\(251\) | −12.2439 | − | 4.08762i | −0.772830 | − | 0.258009i | −0.0972152 | − | 0.995263i | \(-0.530993\pi\) |
−0.675615 | + | 0.737255i | \(0.736122\pi\) | |||||||
\(252\) | 0.398992 | − | 1.61877i | 0.0251341 | − | 0.101973i | ||||
\(253\) | −9.21694 | + | 0.371430i | −0.579464 | + | 0.0233516i | ||||
\(254\) | −10.0502 | + | 0.405007i | −0.630603 | + | 0.0254124i | ||||
\(255\) | −0.0516266 | + | 0.209457i | −0.00323298 | + | 0.0131167i | ||||
\(256\) | −16.1530 | − | 5.39265i | −1.00956 | − | 0.337041i | ||||
\(257\) | −6.83258 | − | 14.3994i | −0.426205 | − | 0.898208i | −0.997021 | − | 0.0771298i | \(-0.975424\pi\) |
0.570816 | − | 0.821078i | \(-0.306627\pi\) | |||||||
\(258\) | 0.335051 | + | 0.193442i | 0.0208594 | + | 0.0120432i | ||||
\(259\) | 9.71908 | + | 14.0805i | 0.603915 | + | 0.874921i | ||||
\(260\) | 1.86943 | − | 1.14715i | 0.115937 | − | 0.0711430i | ||||
\(261\) | 0.162476 | − | 0.235387i | 0.0100570 | − | 0.0145701i | ||||
\(262\) | −9.40667 | + | 4.46352i | −0.581146 | + | 0.275757i | ||||
\(263\) | 17.2721 | − | 10.9222i | 1.06505 | − | 0.673494i | 0.117486 | − | 0.993075i | \(-0.462516\pi\) |
0.947559 | + | 0.319581i | \(0.103542\pi\) | |||||||
\(264\) | −13.5216 | + | 2.19748i | −0.832198 | + | 0.135245i | ||||
\(265\) | −0.675491 | + | 1.28704i | −0.0414951 | + | 0.0790623i | ||||
\(266\) | 1.00005 | + | 0.816512i | 0.0613167 | + | 0.0500636i | ||||
\(267\) | −1.91700 | + | 1.84130i | −0.117318 | + | 0.112686i | ||||
\(268\) | − | 9.54779i | − | 0.583224i | ||||||
\(269\) | −5.26157 | − | 5.47788i | −0.320804 | − | 0.333992i | 0.541200 | − | 0.840894i | \(-0.317970\pi\) |
−0.862004 | + | 0.506902i | \(0.830791\pi\) | |||||||
\(270\) | −0.560790 | + | 0.187219i | −0.0341286 | + | 0.0113938i | ||||
\(271\) | −2.32996 | − | 28.8617i | −0.141535 | − | 1.75323i | −0.545188 | − | 0.838314i | \(-0.683542\pi\) |
0.403653 | − | 0.914912i | \(-0.367740\pi\) | |||||||
\(272\) | 0.323989 | − | 0.0798562i | 0.0196447 | − | 0.00484199i | ||||
\(273\) | 2.60041 | − | 5.29461i | 0.157384 | − | 0.320445i | ||||
\(274\) | 21.1161 | + | 5.20465i | 1.27567 | + | 0.314424i | ||||
\(275\) | −3.41266 | + | 20.9990i | −0.205791 | + | 1.26628i | ||||
\(276\) | −1.29769 | − | 1.58938i | −0.0781117 | − | 0.0956694i | ||||
\(277\) | 1.67714 | − | 1.26029i | 0.100770 | − | 0.0757235i | −0.549163 | − | 0.835715i | \(-0.685053\pi\) |
0.649933 | + | 0.759992i | \(0.274797\pi\) | |||||||
\(278\) | 9.21643 | − | 10.4032i | 0.552765 | − | 0.623942i | ||||
\(279\) | −0.927403 | − | 5.70654i | −0.0555222 | − | 0.341642i | ||||
\(280\) | 0.234975 | − | 2.91069i | 0.0140425 | − | 0.173947i | ||||
\(281\) | −0.906963 | − | 3.67969i | −0.0541049 | − | 0.219512i | 0.937666 | − | 0.347538i | \(-0.112982\pi\) |
−0.991771 | + | 0.128026i | \(0.959136\pi\) | |||||||
\(282\) | −1.03643 | − | 3.57817i | −0.0617184 | − | 0.213077i | ||||
\(283\) | −1.43159 | − | 7.01239i | −0.0850992 | − | 0.416843i | −0.999916 | − | 0.0129740i | \(-0.995870\pi\) |
0.914817 | − | 0.403869i | \(-0.132335\pi\) | |||||||
\(284\) | 8.93305 | − | 7.29361i | 0.530079 | − | 0.432796i | ||||
\(285\) | −0.0573299 | + | 0.472154i | −0.00339593 | + | 0.0279680i | ||||
\(286\) | −16.3365 | − | 0.879233i | −0.965998 | − | 0.0519902i | ||||
\(287\) | 2.24992 | + | 18.5298i | 0.132809 | + | 1.09378i | ||||
\(288\) | −3.65346 | − | 3.50920i | −0.215282 | − | 0.206781i | ||||
\(289\) | −11.6858 | + | 12.1663i | −0.687403 | + | 0.715662i | ||||
\(290\) | 0.0724908 | − | 0.152771i | 0.00425681 | − | 0.00897104i | ||||
\(291\) | −12.2799 | + | 8.47618i | −0.719859 | + | 0.496882i | ||||
\(292\) | −2.59896 | + | 4.10992i | −0.152093 | + | 0.240515i | ||||
\(293\) | −17.1423 | − | 22.8122i | −1.00146 | − | 1.33270i | −0.942414 | − | 0.334448i | \(-0.891450\pi\) |
−0.0590475 | − | 0.998255i | \(-0.518806\pi\) | |||||||
\(294\) | 1.98996 | + | 3.79155i | 0.116057 | + | 0.221128i | ||||
\(295\) | −0.260027 | + | 1.27370i | −0.0151393 | + | 0.0741574i | ||||
\(296\) | 31.1689 | − | 2.51622i | 1.81166 | − | 0.146252i | ||||
\(297\) | −4.40051 | − | 1.27462i | −0.255343 | − | 0.0739611i | ||||
\(298\) | −7.87604 | − | 4.13366i | −0.456247 | − | 0.239457i | ||||
\(299\) | −3.28668 | − | 6.47300i | −0.190074 | − | 0.374343i | ||||
\(300\) | −4.19019 | + | 2.19918i | −0.241921 | + | 0.126970i | ||||
\(301\) | −0.626155 | + | 0.127831i | −0.0360910 | + | 0.00736803i | ||||
\(302\) | 15.6339 | + | 11.7481i | 0.899627 | + | 0.676026i | ||||
\(303\) | −0.0219866 | − | 0.545592i | −0.00126310 | − | 0.0313435i | ||||
\(304\) | 0.687885 | − | 0.260881i | 0.0394529 | − | 0.0149625i | ||||
\(305\) | −7.37704 | + | 2.13678i | −0.422408 | + | 0.122352i | ||||
\(306\) | 0.350692 | + | 0.0715943i | 0.0200477 | + | 0.00409277i | ||||
\(307\) | −5.07486 | − | 5.72834i | −0.289638 | − | 0.326933i | 0.585624 | − | 0.810583i | \(-0.300849\pi\) |
−0.875262 | + | 0.483649i | \(0.839311\pi\) | |||||||
\(308\) | 4.83073 | − | 5.91657i | 0.275257 | − | 0.337128i | ||||
\(309\) | −0.605068 | + | 15.0146i | −0.0344211 | + | 0.854151i | ||||
\(310\) | −1.08239 | − | 3.24215i | −0.0614756 | − | 0.184142i | ||||
\(311\) | 0.382796 | − | 0.339128i | 0.0217064 | − | 0.0192302i | −0.652200 | − | 0.758047i | \(-0.726154\pi\) |
0.673906 | + | 0.738817i | \(0.264615\pi\) | |||||||
\(312\) | −6.00411 | − | 8.95450i | −0.339916 | − | 0.506949i | ||||
\(313\) | 0.519236 | + | 0.460003i | 0.0293490 | + | 0.0260009i | 0.677670 | − | 0.735366i | \(-0.262990\pi\) |
−0.648321 | + | 0.761367i | \(0.724528\pi\) | |||||||
\(314\) | 1.50162 | − | 3.52442i | 0.0847411 | − | 0.198895i | ||||
\(315\) | 0.488298 | − | 0.845757i | 0.0275125 | − | 0.0476530i | ||||
\(316\) | −0.0259661 | − | 0.0449746i | −0.00146071 | − | 0.00253002i | ||||
\(317\) | 25.7975 | − | 3.13238i | 1.44893 | − | 0.175932i | 0.642058 | − | 0.766656i | \(-0.278081\pi\) |
0.806874 | + | 0.590724i | \(0.201158\pi\) | |||||||
\(318\) | 2.17881 | + | 1.03386i | 0.122182 | + | 0.0579760i | ||||
\(319\) | 1.13480 | − | 0.655177i | 0.0635366 | − | 0.0366829i | ||||
\(320\) | −3.37203 | − | 2.32755i | −0.188502 | − | 0.130114i | ||||
\(321\) | 7.40625 | − | 3.15551i | 0.413377 | − | 0.176123i | ||||
\(322\) | −3.22023 | − | 0.523338i | −0.179456 | − | 0.0291645i | ||||
\(323\) | 0.172980 | − | 0.230195i | 0.00962489 | − | 0.0128084i | ||||
\(324\) | −0.361368 | − | 0.952850i | −0.0200760 | − | 0.0529361i | ||||
\(325\) | −16.1433 | + | 4.44080i | −0.895470 | + | 0.246331i | ||||
\(326\) | 2.39000 | − | 6.30192i | 0.132370 | − | 0.349031i | ||||
\(327\) | 4.87060 | + | 7.70223i | 0.269345 | + | 0.425935i | ||||
\(328\) | 31.3857 | + | 13.3722i | 1.73298 | + | 0.738356i | ||||
\(329\) | 5.20090 | + | 3.28885i | 0.286735 | + | 0.181320i | ||||
\(330\) | −2.68884 | − | 0.326485i | −0.148016 | − | 0.0179724i | ||||
\(331\) | 10.0902 | + | 23.6827i | 0.554610 | + | 1.30172i | 0.927494 | + | 0.373839i | \(0.121959\pi\) |
−0.372884 | + | 0.927878i | \(0.621631\pi\) | |||||||
\(332\) | 0.369881 | − | 1.10793i | 0.0202998 | − | 0.0608055i | ||||
\(333\) | 9.77822 | + | 3.70839i | 0.535843 | + | 0.203218i | ||||
\(334\) | −19.5417 | − | 1.57757i | −1.06928 | − | 0.0863208i | ||||
\(335\) | 1.55600 | − | 5.37193i | 0.0850133 | − | 0.293500i | ||||
\(336\) | −1.50938 | − | 0.0608258i | −0.0823432 | − | 0.00331832i | ||||
\(337\) | −1.90027 | −0.103515 | −0.0517573 | − | 0.998660i | \(-0.516482\pi\) | ||||
−0.0517573 | + | 0.998660i | \(0.516482\pi\) | |||||||
\(338\) | −4.72532 | − | 11.9770i | −0.257024 | − | 0.651462i | ||||
\(339\) | 17.8029 | 0.966922 | ||||||||
\(340\) | −0.219662 | − | 0.00885209i | −0.0119129 | − | 0.000480072i | ||||
\(341\) | 7.36912 | − | 25.4411i | 0.399060 | − | 1.37772i | ||||
\(342\) | 0.786578 | + | 0.0634992i | 0.0425333 | + | 0.00343364i | ||||
\(343\) | −17.3215 | − | 6.56917i | −0.935273 | − | 0.354702i | ||||
\(344\) | −0.369877 | + | 1.10792i | −0.0199425 | + | 0.0597350i | ||||
\(345\) | −0.471106 | − | 1.10573i | −0.0253635 | − | 0.0595303i | ||||
\(346\) | 9.80204 | + | 1.19018i | 0.526961 | + | 0.0639846i | ||||
\(347\) | 8.54842 | + | 5.40569i | 0.458903 | + | 0.290193i | 0.743845 | − | 0.668352i | \(-0.233000\pi\) |
−0.284942 | + | 0.958545i | \(0.591974\pi\) | |||||||
\(348\) | 0.268148 | + | 0.114247i | 0.0143743 | + | 0.00612430i | ||||
\(349\) | −8.47877 | − | 13.4081i | −0.453858 | − | 0.717720i | 0.538294 | − | 0.842757i | \(-0.319069\pi\) |
−0.992152 | + | 0.125038i | \(0.960095\pi\) | |||||||
\(350\) | −2.66816 | + | 7.03535i | −0.142619 | + | 0.376055i | ||||
\(351\) | −0.530306 | − | 3.56634i | −0.0283056 | − | 0.190357i | ||||
\(352\) | −8.22980 | − | 21.7002i | −0.438650 | − | 1.15662i | ||||
\(353\) | 4.62194 | − | 6.15068i | 0.246001 | − | 0.327368i | −0.659506 | − | 0.751699i | \(-0.729234\pi\) |
0.905507 | + | 0.424332i | \(0.139491\pi\) | |||||||
\(354\) | 2.12893 | + | 0.345985i | 0.113152 | + | 0.0183889i | ||||
\(355\) | 6.21470 | − | 2.64784i | 0.329842 | − | 0.140532i | ||||
\(356\) | −2.22926 | − | 1.53875i | −0.118151 | − | 0.0815536i | ||||
\(357\) | −0.512026 | + | 0.295618i | −0.0270993 | + | 0.0156458i | ||||
\(358\) | 8.52633 | + | 4.04579i | 0.450631 | + | 0.213827i | ||||
\(359\) | −18.1757 | + | 2.20693i | −0.959277 | + | 0.116477i | −0.585172 | − | 0.810909i | \(-0.698973\pi\) |
−0.374105 | + | 0.927386i | \(0.622050\pi\) | |||||||
\(360\) | −0.892462 | − | 1.54579i | −0.0470369 | − | 0.0814703i | ||||
\(361\) | −9.18258 | + | 15.9047i | −0.483294 | + | 0.837089i | ||||
\(362\) | 6.81382 | − | 15.9926i | 0.358126 | − | 0.840554i | ||||
\(363\) | −7.47698 | − | 6.62403i | −0.392440 | − | 0.347671i | ||||
\(364\) | 5.81663 | + | 1.51719i | 0.304874 | + | 0.0795226i | ||||
\(365\) | −2.13206 | + | 1.88884i | −0.111597 | + | 0.0988665i | ||||
\(366\) | 4.03525 | + | 12.0871i | 0.210926 | + | 0.631801i | ||||
\(367\) | −0.528357 | + | 13.1110i | −0.0275800 | + | 0.684391i | 0.924976 | + | 0.380027i | \(0.124085\pi\) |
−0.952556 | + | 0.304365i | \(0.901556\pi\) | |||||||
\(368\) | −1.17578 | + | 1.44007i | −0.0612920 | + | 0.0750691i | ||||
\(369\) | 7.56581 | + | 8.54003i | 0.393860 | + | 0.444576i | ||||
\(370\) | 6.05787 | + | 1.23672i | 0.314934 | + | 0.0642941i | ||||
\(371\) | −3.82640 | + | 1.10833i | −0.198657 | + | 0.0575416i | ||||
\(372\) | 5.50882 | − | 2.08922i | 0.285619 | − | 0.108321i | ||||
\(373\) | 0.618116 | + | 15.3384i | 0.0320048 | + | 0.794191i | 0.932896 | + | 0.360146i | \(0.117273\pi\) |
−0.900891 | + | 0.434045i | \(0.857086\pi\) | |||||||
\(374\) | 1.31092 | + | 0.985096i | 0.0677863 | + | 0.0509381i | ||||
\(375\) | −5.64031 | + | 1.15148i | −0.291265 | + | 0.0594621i | ||||
\(376\) | 9.95854 | − | 5.22665i | 0.513573 | − | 0.269544i | ||||
\(377\) | 0.840720 | + | 0.597212i | 0.0432993 | + | 0.0307580i | ||||
\(378\) | −1.43474 | − | 0.753008i | −0.0737949 | − | 0.0387306i | ||||
\(379\) | −2.90406 | − | 0.841171i | −0.149171 | − | 0.0432080i | 0.202792 | − | 0.979222i | \(-0.434999\pi\) |
−0.351963 | + | 0.936014i | \(0.614486\pi\) | |||||||
\(380\) | −0.483122 | + | 0.0390016i | −0.0247836 | + | 0.00200074i | ||||
\(381\) | 2.03139 | − | 9.95039i | 0.104071 | − | 0.509774i | ||||
\(382\) | −6.14751 | − | 11.7131i | −0.314534 | − | 0.599294i | ||||
\(383\) | 13.0987 | + | 17.4312i | 0.669312 | + | 0.890692i | 0.998565 | − | 0.0535495i | \(-0.0170535\pi\) |
−0.329253 | + | 0.944242i | \(0.606797\pi\) | |||||||
\(384\) | 1.78160 | − | 2.81738i | 0.0909170 | − | 0.143774i | ||||
\(385\) | 3.68217 | − | 2.54162i | 0.187661 | − | 0.129533i | ||||
\(386\) | 3.85793 | − | 8.13043i | 0.196364 | − | 0.413828i | ||||
\(387\) | −0.270597 | + | 0.281721i | −0.0137552 | + | 0.0143207i | ||||
\(388\) | −10.9664 | − | 10.5334i | −0.556736 | − | 0.534752i | ||||
\(389\) | 0.995365 | + | 8.19757i | 0.0504670 | + | 0.415633i | 0.995946 | + | 0.0899507i | \(0.0286709\pi\) |
−0.945479 | + | 0.325682i | \(0.894406\pi\) | |||||||
\(390\) | −0.647688 | − | 2.03088i | −0.0327970 | − | 0.102838i | ||||
\(391\) | −0.0877073 | + | 0.722335i | −0.00443555 | + | 0.0365300i | ||||
\(392\) | −10.0139 | + | 8.17610i | −0.505779 | + | 0.412955i | ||||
\(393\) | −2.10281 | − | 10.3002i | −0.106073 | − | 0.519578i | ||||
\(394\) | −5.46570 | − | 18.8698i | −0.275358 | − | 0.950646i | ||||
\(395\) | −0.00727998 | − | 0.0295360i | −0.000366296 | − | 0.00148612i | ||||
\(396\) | 0.375680 | − | 4.65364i | 0.0188786 | − | 0.233854i | ||||
\(397\) | −2.82445 | − | 17.3796i | −0.141755 | − | 0.872256i | −0.956350 | − | 0.292225i | \(-0.905605\pi\) |
0.814594 | − | 0.580031i | \(-0.196960\pi\) | |||||||
\(398\) | −5.92153 | + | 6.68402i | −0.296819 | + | 0.335040i | ||||
\(399\) | −1.04210 | + | 0.783086i | −0.0521702 | + | 0.0392033i | ||||
\(400\) | 2.71173 | + | 3.32127i | 0.135587 | + | 0.166063i | ||||
\(401\) | −0.837312 | + | 5.15219i | −0.0418134 | + | 0.257288i | −0.999538 | − | 0.0303991i | \(-0.990322\pi\) |
0.957724 | + | 0.287687i | \(0.0928863\pi\) | |||||||
\(402\) | −9.00967 | − | 2.22068i | −0.449361 | − | 0.110758i | ||||
\(403\) | 20.6185 | − | 3.06591i | 1.02708 | − | 0.152724i | ||||
\(404\) | 0.540281 | − | 0.133167i | 0.0268800 | − | 0.00662532i | ||||
\(405\) | −0.0480334 | − | 0.595000i | −0.00238680 | − | 0.0295658i | ||||
\(406\) | 0.439593 | − | 0.146758i | 0.0218166 | − | 0.00728346i | ||||
\(407\) | 33.1893 | + | 34.5537i | 1.64513 | + | 1.71277i | ||||
\(408\) | 1.08060i | 0.0534979i | ||||||||
\(409\) | −19.7369 | + | 18.9575i | −0.975924 | + | 0.937388i | −0.998053 | − | 0.0623670i | \(-0.980135\pi\) |
0.0221289 | + | 0.999755i | \(0.492956\pi\) | |||||||
\(410\) | 5.22502 | + | 4.26609i | 0.258045 | + | 0.210687i | ||||
\(411\) | −10.2046 | + | 19.4433i | −0.503356 | + | 0.959065i | ||||
\(412\) | −15.1151 | + | 2.45644i | −0.744667 | + | 0.121020i | ||||
\(413\) | −3.01124 | + | 1.90420i | −0.148174 | + | 0.0936993i | ||||
\(414\) | −1.80163 | + | 0.854882i | −0.0885451 | + | 0.0420152i | ||||
\(415\) | 0.388667 | − | 0.563081i | 0.0190789 | − | 0.0276406i | ||||
\(416\) | 12.8292 | − | 13.0008i | 0.629001 | − | 0.637419i | ||||
\(417\) | 7.97166 | + | 11.5489i | 0.390374 | + | 0.565554i | ||||
\(418\) | 3.13098 | + | 1.80767i | 0.153141 | + | 0.0884162i | ||||
\(419\) | −11.7141 | − | 24.6870i | −0.572273 | − | 1.20604i | −0.958884 | − | 0.283798i | \(-0.908406\pi\) |
0.386611 | − | 0.922243i | \(-0.373646\pi\) | |||||||
\(420\) | 0.944005 | + | 0.315155i | 0.0460627 | + | 0.0153780i | ||||
\(421\) | 8.94157 | − | 36.2774i | 0.435786 | − | 1.76805i | −0.183637 | − | 0.982994i | \(-0.558787\pi\) |
0.619423 | − | 0.785058i | \(-0.287367\pi\) | |||||||
\(422\) | 4.70405 | − | 0.189567i | 0.228989 | − | 0.00922796i | ||||
\(423\) | 3.75824 | − | 0.151452i | 0.182732 | − | 0.00736384i | ||||
\(424\) | −1.74245 | + | 7.06941i | −0.0846209 | + | 0.343321i | ||||
\(425\) | 1.59180 | + | 0.531422i | 0.0772138 | + | 0.0257778i | ||||
\(426\) | −4.80483 | − | 10.1260i | −0.232795 | − | 0.490605i | ||||
\(427\) | −18.2291 | − | 10.5246i | −0.882170 | − | 0.509321i | ||||
\(428\) | 4.66040 | + | 6.75176i | 0.225269 | + | 0.326359i | ||||
\(429\) | 4.80935 | − | 15.8028i | 0.232198 | − | 0.762967i | ||||
\(430\) | −0.131191 | + | 0.190064i | −0.00632661 | + | 0.00916568i | ||||
\(431\) | −28.6178 | + | 13.5793i | −1.37847 | + | 0.654092i | −0.966396 | − | 0.257058i | \(-0.917247\pi\) |
−0.412074 | + | 0.911150i | \(0.635196\pi\) | |||||||
\(432\) | −0.780400 | + | 0.493495i | −0.0375470 | + | 0.0237433i | ||||
\(433\) | −32.2851 | + | 5.24684i | −1.55152 | + | 0.252147i | −0.874944 | − | 0.484224i | \(-0.839102\pi\) |
−0.676578 | + | 0.736371i | \(0.736538\pi\) | |||||||
\(434\) | 4.35345 | − | 8.29480i | 0.208972 | − | 0.398163i | ||||
\(435\) | 0.132251 | + | 0.107980i | 0.00634095 | + | 0.00517723i | ||||
\(436\) | −6.69769 | + | 6.43322i | −0.320761 | + | 0.308095i | ||||
\(437\) | 1.60427i | 0.0767424i | ||||||||
\(438\) | 3.27380 | + | 3.40839i | 0.156428 | + | 0.162859i | ||||
\(439\) | −8.77202 | + | 2.92853i | −0.418666 | + | 0.139771i | −0.518193 | − | 0.855264i | \(-0.673395\pi\) |
0.0995274 | + | 0.995035i | \(0.468267\pi\) | |||||||
\(440\) | −0.658010 | − | 8.15092i | −0.0313694 | − | 0.388580i | ||||
\(441\) | −4.19783 | + | 1.03467i | −0.199896 | + | 0.0492701i | ||||
\(442\) | −0.275172 | + | 1.26084i | −0.0130886 | + | 0.0599721i | ||||
\(443\) | 27.9545 | + | 6.89016i | 1.32816 | + | 0.327361i | 0.838666 | − | 0.544647i | \(-0.183336\pi\) |
0.489492 | + | 0.872008i | \(0.337182\pi\) | |||||||
\(444\) | −1.70955 | + | 10.5193i | −0.0811315 | + | 0.499222i | ||||
\(445\) | −1.00350 | − | 1.22906i | −0.0475702 | − | 0.0582630i | ||||
\(446\) | −3.02972 | + | 2.27669i | −0.143461 | + | 0.107804i | ||||
\(447\) | 5.95548 | − | 6.72234i | 0.281684 | − | 0.317956i | ||||
\(448\) | −1.80134 | − | 11.0841i | −0.0851052 | − | 0.523673i | ||||
\(449\) | −0.536920 | + | 6.65095i | −0.0253388 | + | 0.313878i | 0.971655 | + | 0.236402i | \(0.0759681\pi\) |
−0.996994 | + | 0.0774759i | \(0.975314\pi\) | |||||||
\(450\) | 1.10065 | + | 4.46553i | 0.0518853 | + | 0.210507i | ||||
\(451\) | 14.5426 | + | 50.2070i | 0.684786 | + | 2.36416i | ||||
\(452\) | 3.62896 | + | 17.7758i | 0.170692 | + | 0.836105i | ||||
\(453\) | −15.2947 | + | 12.4877i | −0.718607 | + | 0.586725i | ||||
\(454\) | −2.42549 | + | 19.9757i | −0.113834 | + | 0.937508i | ||||
\(455\) | 3.02539 | + | 1.80156i | 0.141832 | + | 0.0844586i | ||||
\(456\) | 0.287174 | + | 2.36509i | 0.0134482 | + | 0.110756i | ||||
\(457\) | −6.41433 | − | 6.16105i | −0.300050 | − | 0.288202i | 0.527546 | − | 0.849527i | \(-0.323112\pi\) |
−0.827596 | + | 0.561325i | \(0.810292\pi\) | |||||||
\(458\) | −4.99665 | + | 5.20206i | −0.233478 | + | 0.243076i | ||||
\(459\) | −0.154925 | + | 0.326497i | −0.00723126 | + | 0.0152396i | ||||
\(460\) | 1.00801 | − | 0.695782i | 0.0469989 | − | 0.0324410i | ||||
\(461\) | 2.38138 | − | 3.76585i | 0.110912 | − | 0.175393i | −0.785172 | − | 0.619277i | \(-0.787426\pi\) |
0.896084 | + | 0.443885i | \(0.146400\pi\) | |||||||
\(462\) | −4.45955 | − | 5.93458i | −0.207477 | − | 0.276102i | ||||
\(463\) | 4.84588 | + | 9.23306i | 0.225207 | + | 0.429097i | 0.971674 | − | 0.236326i | \(-0.0759434\pi\) |
−0.746466 | + | 0.665423i | \(0.768251\pi\) | |||||||
\(464\) | 0.0528250 | − | 0.258754i | 0.00245234 | − | 0.0120124i | ||||
\(465\) | 3.43994 | − | 0.277701i | 0.159523 | − | 0.0128781i | ||||
\(466\) | 14.8046 | + | 4.28820i | 0.685808 | + | 0.198647i | ||||
\(467\) | 20.9596 | + | 11.0004i | 0.969893 | + | 0.509039i | 0.873775 | − | 0.486331i | \(-0.161665\pi\) |
0.0961185 | + | 0.995370i | \(0.469357\pi\) | |||||||
\(468\) | 3.45282 | − | 1.25646i | 0.159606 | − | 0.0580801i | ||||
\(469\) | 13.5722 | − | 7.12326i | 0.626707 | − | 0.328921i | ||||
\(470\) | 2.17879 | − | 0.444804i | 0.100500 | − | 0.0205173i | ||||
\(471\) | 3.09228 | + | 2.32370i | 0.142485 | + | 0.107070i | ||||
\(472\) | 0.262201 | + | 6.50645i | 0.0120688 | + | 0.299484i | ||||
\(473\) | −1.67332 | + | 0.634606i | −0.0769392 | + | 0.0291792i | ||||
\(474\) | −0.0484792 | + | 0.0140422i | −0.00222672 | + | 0.000644978i | ||||
\(475\) | 3.62517 | + | 0.740084i | 0.166334 | + | 0.0339574i | ||||
\(476\) | −0.399541 | − | 0.450988i | −0.0183129 | − | 0.0206710i | ||||
\(477\) | −1.54000 | + | 1.88616i | −0.0705118 | + | 0.0863612i | ||||
\(478\) | −0.373629 | + | 9.27152i | −0.0170894 | + | 0.424069i | ||||
\(479\) | 4.68320 | + | 14.0279i | 0.213981 | + | 0.640951i | 0.999748 | + | 0.0224288i | \(0.00713992\pi\) |
−0.785768 | + | 0.618522i | \(0.787732\pi\) | |||||||
\(480\) | 2.26346 | − | 2.00525i | 0.103312 | − | 0.0915268i | ||||
\(481\) | −13.8452 | + | 35.0723i | −0.631287 | + | 1.59916i | ||||
\(482\) | −1.55335 | − | 1.37615i | −0.0707532 | − | 0.0626819i | ||||
\(483\) | 1.29115 | − | 3.03045i | 0.0587495 | − | 0.137890i | ||||
\(484\) | 5.08984 | − | 8.81586i | 0.231356 | − | 0.400721i | ||||
\(485\) | −4.45349 | − | 7.71366i | −0.202222 | − | 0.350259i | ||||
\(486\) | −0.983196 | + | 0.119382i | −0.0445987 | + | 0.00541526i | ||||
\(487\) | 6.11241 | + | 2.90038i | 0.276980 | + | 0.131429i | 0.562116 | − | 0.827058i | \(-0.309987\pi\) |
−0.285136 | + | 0.958487i | \(0.592039\pi\) | |||||||
\(488\) | −33.3174 | + | 19.2358i | −1.50821 | + | 0.870764i | ||||
\(489\) | 5.60050 | + | 3.86575i | 0.253263 | + | 0.174815i | ||||
\(490\) | −2.35156 | + | 1.00190i | −0.106232 | + | 0.0452614i | ||||
\(491\) | 42.7847 | + | 6.95320i | 1.93085 | + | 0.313793i | 0.998819 | − | 0.0485891i | \(-0.0154725\pi\) |
0.932029 | + | 0.362382i | \(0.118037\pi\) | |||||||
\(492\) | −6.98482 | + | 9.29511i | −0.314900 | + | 0.419056i | ||||
\(493\) | −0.0366531 | − | 0.0966462i | −0.00165077 | − | 0.00435273i | ||||
\(494\) | −0.267190 | + | 2.83270i | −0.0120214 | + | 0.127449i | ||||
\(495\) | 0.969773 | − | 2.55708i | 0.0435880 | − | 0.114932i | ||||
\(496\) | −2.85310 | − | 4.51181i | −0.128108 | − | 0.202586i | ||||
\(497\) | 17.0325 | + | 7.25688i | 0.764014 | + | 0.325516i | ||||
\(498\) | −0.959455 | − | 0.606723i | −0.0429942 | − | 0.0271879i | ||||
\(499\) | −15.9643 | − | 1.93842i | −0.714661 | − | 0.0867756i | −0.244874 | − | 0.969555i | \(-0.578746\pi\) |
−0.469788 | + | 0.882779i | \(0.655670\pi\) | |||||||
\(500\) | −2.29945 | − | 5.39701i | −0.102835 | − | 0.241362i | ||||
\(501\) | 6.26844 | − | 18.7763i | 0.280053 | − | 0.838861i | ||||
\(502\) | −11.9537 | − | 4.53346i | −0.533522 | − | 0.202338i | ||||
\(503\) | 4.74994 | + | 0.383455i | 0.211789 | + | 0.0170974i | 0.185906 | − | 0.982568i | \(-0.440478\pi\) |
0.0258835 | + | 0.999665i | \(0.491760\pi\) | |||||||
\(504\) | 1.36102 | − | 4.69877i | 0.0606245 | − | 0.209300i | ||||
\(505\) | 0.325684 | + | 0.0131246i | 0.0144927 | + | 0.000584037i | ||||
\(506\) | −9.13603 | −0.406146 | ||||||||
\(507\) | 12.8832 | − | 1.73839i | 0.572165 | − | 0.0772048i | ||||
\(508\) | 10.3493 | 0.459178 | ||||||||
\(509\) | −0.297992 | − | 0.0120087i | −0.0132083 | − | 0.000532275i | 0.0336609 | − | 0.999433i | \(-0.489283\pi\) |
−0.0468692 | + | 0.998901i | \(0.514924\pi\) | |||||||
\(510\) | −0.0594436 | + | 0.205223i | −0.00263221 | + | 0.00908743i | ||||
\(511\) | −7.78127 | − | 0.628169i | −0.344223 | − | 0.0277885i | ||||
\(512\) | −9.53652 | − | 3.61673i | −0.421459 | − | 0.159838i | ||||
\(513\) | −0.252312 | + | 0.755768i | −0.0111399 | + | 0.0333680i | ||||
\(514\) | −6.18737 | − | 14.5223i | −0.272913 | − | 0.640551i | ||||
\(515\) | −8.90463 | − | 1.08122i | −0.392385 | − | 0.0476441i | ||||
\(516\) | −0.336451 | − | 0.212759i | −0.0148114 | − | 0.00936618i | ||||
\(517\) | 15.8530 | + | 6.75435i | 0.697216 | + | 0.297056i | ||||
\(518\) | 9.05661 | + | 14.3219i | 0.397925 | + | 0.629267i | ||||
\(519\) | −3.53526 | + | 9.32171i | −0.155181 | + | 0.409178i | ||||
\(520\) | 5.61633 | − | 3.14233i | 0.246292 | − | 0.137800i | ||||
\(521\) | 12.1756 | + | 32.1043i | 0.533421 | + | 1.40652i | 0.882895 | + | 0.469571i | \(0.155591\pi\) |
−0.349473 | + | 0.936946i | \(0.613640\pi\) | |||||||
\(522\) | 0.170176 | − | 0.226463i | 0.00744839 | − | 0.00991201i | ||||
\(523\) | 28.1909 | + | 4.58147i | 1.23270 | + | 0.200334i | 0.741644 | − | 0.670794i | \(-0.234046\pi\) |
0.491058 | + | 0.871127i | \(0.336610\pi\) | |||||||
\(524\) | 9.85592 | − | 4.19921i | 0.430558 | − | 0.183444i | ||||
\(525\) | −6.25230 | − | 4.31565i | −0.272873 | − | 0.188350i | ||||
\(526\) | 17.5283 | − | 10.1200i | 0.764271 | − | 0.441252i | ||||
\(527\) | −1.88761 | − | 0.895683i | −0.0822256 | − | 0.0390166i | ||||
\(528\) | −4.19935 | + | 0.509893i | −0.182753 | + | 0.0221903i | ||||
\(529\) | 9.47300 | + | 16.4077i | 0.411870 | + | 0.713379i | ||||
\(530\) | −0.719803 | + | 1.24674i | −0.0312663 | + | 0.0541547i | ||||
\(531\) | −0.853598 | + | 2.00347i | −0.0370430 | + | 0.0869431i | ||||
\(532\) | −0.994317 | − | 0.880888i | −0.0431091 | − | 0.0381913i | ||||
\(533\) | −31.1567 | + | 26.8610i | −1.34955 | + | 1.16348i | ||||
\(534\) | −1.97052 | + | 1.74573i | −0.0852727 | + | 0.0755451i | ||||
\(535\) | 1.52178 | + | 4.55829i | 0.0657923 | + | 0.197072i | ||||
\(536\) | 1.12805 | − | 27.9922i | 0.0487242 | − | 1.20908i | ||||
\(537\) | −6.02647 | + | 7.38108i | −0.260061 | + | 0.318517i | ||||
\(538\) | −4.98847 | − | 5.63082i | −0.215068 | − | 0.242762i | ||||
\(539\) | −19.4072 | − | 3.96200i | −0.835925 | − | 0.170655i | ||||
\(540\) | 0.584304 | − | 0.169246i | 0.0251444 | − | 0.00728318i | ||||
\(541\) | 12.2957 | − | 4.66316i | 0.528635 | − | 0.200485i | −0.0758236 | − | 0.997121i | \(-0.524159\pi\) |
0.604459 | + | 0.796636i | \(0.293389\pi\) | |||||||
\(542\) | −1.15475 | − | 28.6549i | −0.0496009 | − | 1.23083i | ||||
\(543\) | 14.0317 | + | 10.5442i | 0.602159 | + | 0.452493i | ||||
\(544\) | −1.79372 | + | 0.366191i | −0.0769052 | + | 0.0157003i | ||||
\(545\) | −4.81678 | + | 2.52804i | −0.206328 | + | 0.108289i | ||||
\(546\) | 2.78455 | − | 5.13592i | 0.119168 | − | 0.219797i | ||||
\(547\) | 0.735015 | + | 0.385766i | 0.0314270 | + | 0.0164942i | 0.480363 | − | 0.877070i | \(-0.340505\pi\) |
−0.448936 | + | 0.893564i | \(0.648197\pi\) | |||||||
\(548\) | −21.4938 | − | 6.22575i | −0.918170 | − | 0.265951i | ||||
\(549\) | −12.8244 | + | 1.03529i | −0.547333 | + | 0.0441853i | ||||
\(550\) | −4.21466 | + | 20.6448i | −0.179714 | + | 0.880296i | ||||
\(551\) | −0.105906 | − | 0.201787i | −0.00451174 | − | 0.00859640i | ||||
\(552\) | −3.61678 | − | 4.81306i | −0.153940 | − | 0.204857i | ||||
\(553\) | 0.0445593 | − | 0.0704649i | 0.00189485 | − | 0.00299647i | ||||
\(554\) | 1.70998 | − | 1.18032i | 0.0726502 | − | 0.0501468i | ||||
\(555\) | −2.67617 | + | 5.63992i | −0.113597 | + | 0.239401i | ||||
\(556\) | −9.90642 | + | 10.3137i | −0.420126 | + | 0.437397i | ||||
\(557\) | 33.0717 | + | 31.7658i | 1.40129 | + | 1.34596i | 0.864854 | + | 0.502023i | \(0.167411\pi\) |
0.536440 | + | 0.843938i | \(0.319769\pi\) | |||||||
\(558\) | −0.690194 | − | 5.68426i | −0.0292182 | − | 0.240634i | ||||
\(559\) | −1.00250 | − | 0.989265i | −0.0424014 | − | 0.0418414i | ||||
\(560\) | 0.108692 | − | 0.895157i | 0.00459307 | − | 0.0378273i | ||||
\(561\) | −1.28248 | + | 1.04712i | −0.0541465 | + | 0.0442093i | ||||
\(562\) | −0.750797 | − | 3.67765i | −0.0316705 | − | 0.155132i | ||||
\(563\) | −11.8452 | − | 40.8944i | −0.499217 | − | 1.72350i | −0.673856 | − | 0.738863i | \(-0.735363\pi\) |
0.174639 | − | 0.984633i | \(-0.444124\pi\) | |||||||
\(564\) | 0.917305 | + | 3.72165i | 0.0386255 | + | 0.156710i | ||||
\(565\) | −0.855135 | + | 10.5927i | −0.0359758 | + | 0.445640i | ||||
\(566\) | −1.13707 | − | 6.99665i | −0.0477945 | − | 0.294091i | ||||
\(567\) | 1.08488 | − | 1.22457i | 0.0455606 | − | 0.0514273i | ||||
\(568\) | 27.0516 | − | 20.3280i | 1.13506 | − | 0.852943i | ||||
\(569\) | −9.15337 | − | 11.2108i | −0.383729 | − | 0.469983i | 0.546236 | − | 0.837632i | \(-0.316060\pi\) |
−0.929965 | + | 0.367649i | \(0.880163\pi\) | |||||||
\(570\) | −0.0755640 | + | 0.464964i | −0.00316503 | + | 0.0194752i | ||||
\(571\) | 24.1680 | + | 5.95687i | 1.01140 | + | 0.249287i | 0.709993 | − | 0.704209i | \(-0.248698\pi\) |
0.301405 | + | 0.953496i | \(0.402544\pi\) | |||||||
\(572\) | 16.7591 | + | 1.58078i | 0.700734 | + | 0.0660956i | ||||
\(573\) | 12.9682 | − | 3.19637i | 0.541754 | − | 0.133530i | ||||
\(574\) | 1.48759 | + | 18.4271i | 0.0620907 | + | 0.769131i | ||||
\(575\) | −8.86864 | + | 2.96079i | −0.369848 | + | 0.123473i | ||||
\(576\) | −4.75481 | − | 4.95028i | −0.198117 | − | 0.206262i | ||||
\(577\) | 31.7111i | 1.32015i | 0.751200 | + | 0.660075i | \(0.229475\pi\) | ||||
−0.751200 | + | 0.660075i | \(0.770525\pi\) | |||||||
\(578\) | −12.0497 | + | 11.5739i | −0.501200 | + | 0.481409i | ||||
\(579\) | 7.03835 | + | 5.74664i | 0.292504 | + | 0.238822i | ||||
\(580\) | −0.0808572 | + | 0.154061i | −0.00335741 | + | 0.00639702i | ||||
\(581\) | 1.85088 | − | 0.300797i | 0.0767875 | − | 0.0124792i | ||||
\(582\) | −12.4904 | + | 7.89843i | −0.517742 | + | 0.327400i | ||||
\(583\) | −10.0786 | + | 4.78235i | −0.417412 | + | 0.198065i | ||||
\(584\) | −8.10520 | + | 11.7424i | −0.335395 | + | 0.485904i | ||||
\(585\) | 2.14745 | − | 0.144229i | 0.0887859 | − | 0.00596312i | ||||
\(586\) | −16.0545 | − | 23.2589i | −0.663204 | − | 0.960817i | ||||
\(587\) | −12.6245 | − | 7.28876i | −0.521069 | − | 0.300839i | 0.216303 | − | 0.976326i | \(-0.430600\pi\) |
−0.737372 | + | 0.675487i | \(0.763934\pi\) | |||||||
\(588\) | −1.88879 | − | 3.98053i | −0.0778922 | − | 0.164154i | ||||
\(589\) | −4.36940 | − | 1.45872i | −0.180038 | − | 0.0601055i | ||||
\(590\) | −0.308121 | + | 1.25010i | −0.0126851 | + | 0.0514657i | ||||
\(591\) | 19.8194 | − | 0.798695i | 0.815262 | − | 0.0328539i | ||||
\(592\) | 9.64830 | − | 0.388813i | 0.396543 | − | 0.0159801i | ||||
\(593\) | 6.55372 | − | 26.5895i | 0.269129 | − | 1.09190i | −0.668347 | − | 0.743850i | \(-0.732998\pi\) |
0.937476 | − | 0.348050i | \(-0.113156\pi\) | |||||||
\(594\) | −4.30397 | − | 1.43688i | −0.176594 | − | 0.0589558i | ||||
\(595\) | −0.151299 | − | 0.318855i | −0.00620264 | − | 0.0130718i | ||||
\(596\) | 7.92608 | + | 4.57613i | 0.324665 | + | 0.187445i | ||||
\(597\) | −5.12176 | − | 7.42016i | −0.209620 | − | 0.303687i | ||||
\(598\) | −2.99440 | − | 6.53685i | −0.122450 | − | 0.267312i | ||||
\(599\) | −4.25984 | + | 6.17145i | −0.174053 | + | 0.252159i | −0.900295 | − | 0.435280i | \(-0.856649\pi\) |
0.726243 | + | 0.687438i | \(0.241265\pi\) | |||||||
\(600\) | −12.5446 | + | 5.95249i | −0.512132 | + | 0.243010i | ||||
\(601\) | −22.2658 | + | 14.0800i | −0.908239 | + | 0.574335i | −0.904884 | − | 0.425659i | \(-0.860042\pi\) |
−0.00335522 | + | 0.999994i | \(0.501068\pi\) | |||||||
\(602\) | −0.624750 | + | 0.101532i | −0.0254629 | + | 0.00413813i | ||||
\(603\) | 4.35403 | − | 8.29591i | 0.177310 | − | 0.337836i | ||||
\(604\) | −15.5864 | − | 12.7259i | −0.634202 | − | 0.517810i | ||||
\(605\) | 4.30044 | − | 4.13063i | 0.174838 | − | 0.167934i | ||||
\(606\) | − | 0.540803i | − | 0.0219686i | ||||||
\(607\) | 10.0884 | + | 10.5031i | 0.409474 | + | 0.426308i | 0.893721 | − | 0.448624i | \(-0.148086\pi\) |
−0.484247 | + | 0.874932i | \(0.660906\pi\) | |||||||
\(608\) | −3.82856 | + | 1.27816i | −0.155269 | + | 0.0518363i | ||||
\(609\) | 0.0376525 | + | 0.466410i | 0.00152576 | + | 0.0188999i | ||||
\(610\) | −7.38563 | + | 1.82040i | −0.299036 | + | 0.0737057i | ||||
\(611\) | 0.363207 | + | 13.5567i | 0.0146938 | + | 0.548444i | ||||
\(612\) | −0.357580 | − | 0.0881356i | −0.0144543 | − | 0.00356267i | ||||
\(613\) | 6.19741 | − | 38.1342i | 0.250311 | − | 1.54022i | −0.492254 | − | 0.870451i | \(-0.663827\pi\) |
0.742565 | − | 0.669774i | \(-0.233609\pi\) | |||||||
\(614\) | −4.79371 | − | 5.87123i | −0.193458 | − | 0.236943i | ||||
\(615\) | −5.44473 | + | 4.09145i | −0.219553 | + | 0.164983i | ||||
\(616\) | 14.8618 | − | 16.7755i | 0.598797 | − | 0.675902i | ||||
\(617\) | 3.25434 | + | 20.0247i | 0.131015 | + | 0.806166i | 0.966503 | + | 0.256657i | \(0.0826210\pi\) |
−0.835488 | + | 0.549509i | \(0.814815\pi\) | |||||||
\(618\) | −1.19757 | + | 14.8345i | −0.0481732 | + | 0.596732i | ||||
\(619\) | 6.38949 | + | 25.9232i | 0.256815 | + | 1.04194i | 0.947748 | + | 0.319021i | \(0.103354\pi\) |
−0.690932 | + | 0.722920i | \(0.742800\pi\) | |||||||
\(620\) | 0.978479 | + | 3.37810i | 0.0392967 | + | 0.135668i | ||||
\(621\) | −0.402743 | − | 1.97276i | −0.0161615 | − | 0.0791643i | ||||
\(622\) | 0.392345 | − | 0.320340i | 0.0157316 | − | 0.0128444i | ||||
\(623\) | 0.524168 | − | 4.31692i | 0.0210004 | − | 0.172954i | ||||
\(624\) | −1.74120 | − | 2.83752i | −0.0697037 | − | 0.113592i | ||||
\(625\) | 2.38445 | + | 19.6378i | 0.0953782 | + | 0.785510i | ||||
\(626\) | 0.495499 | + | 0.475933i | 0.0198041 | + | 0.0190221i | ||||
\(627\) | −2.52867 | + | 2.63262i | −0.100985 | + | 0.105137i | ||||
\(628\) | −1.68983 | + | 3.56124i | −0.0674316 | + | 0.142109i | ||||
\(629\) | 3.11033 | − | 2.14691i | 0.124017 | − | 0.0856027i | ||||
\(630\) | 0.516955 | − | 0.817499i | 0.0205960 | − | 0.0325700i | ||||
\(631\) | 3.27088 | + | 4.35275i | 0.130212 | + | 0.173280i | 0.859840 | − | 0.510564i | \(-0.170563\pi\) |
−0.729628 | + | 0.683844i | \(0.760307\pi\) | |||||||
\(632\) | −0.0708137 | − | 0.134924i | −0.00281682 | − | 0.00536700i | ||||
\(633\) | −0.950805 | + | 4.65735i | −0.0377911 | + | 0.185113i | ||||
\(634\) | 25.6545 | − | 2.07104i | 1.01887 | − | 0.0822517i | ||||
\(635\) | 5.82291 | + | 1.68663i | 0.231075 | + | 0.0669318i | ||||
\(636\) | −2.19720 | − | 1.15318i | −0.0871248 | − | 0.0457266i | ||||
\(637\) | −3.52603 | − | 15.1844i | −0.139706 | − | 0.601629i | ||||
\(638\) | 1.14914 | − | 0.603116i | 0.0454950 | − | 0.0238776i | ||||
\(639\) | 11.0879 | − | 2.26360i | 0.438629 | − | 0.0895467i | ||||
\(640\) | 1.59076 | + | 1.19538i | 0.0628805 | + | 0.0472516i | ||||
\(641\) | 0.228110 | + | 5.66049i | 0.00900981 | + | 0.223576i | 0.997421 | + | 0.0717749i | \(0.0228663\pi\) |
−0.988411 | + | 0.151801i | \(0.951493\pi\) | |||||||
\(642\) | 7.45517 | − | 2.82737i | 0.294232 | − | 0.111588i | ||||
\(643\) | 20.5385 | − | 5.94904i | 0.809959 | − | 0.234607i | 0.152700 | − | 0.988273i | \(-0.451203\pi\) |
0.657259 | + | 0.753665i | \(0.271716\pi\) | |||||||
\(644\) | 3.28903 | + | 0.671460i | 0.129606 | + | 0.0264592i | ||||
\(645\) | −0.154626 | − | 0.174537i | −0.00608841 | − | 0.00687239i | ||||
\(646\) | 0.180364 | − | 0.220906i | 0.00709633 | − | 0.00869143i | ||||
\(647\) | 0.830747 | − | 20.6148i | 0.0326600 | − | 0.810451i | −0.897000 | − | 0.442031i | \(-0.854258\pi\) |
0.929660 | − | 0.368419i | \(-0.120101\pi\) | |||||||
\(648\) | −0.946883 | − | 2.83626i | −0.0371971 | − | 0.111419i | ||||
\(649\) | −7.46792 | + | 6.61600i | −0.293142 | + | 0.259701i | ||||
\(650\) | −16.1528 | + | 3.75089i | −0.633563 | + | 0.147122i | ||||
\(651\) | 7.07976 | + | 6.27212i | 0.277478 | + | 0.245824i | ||||
\(652\) | −2.71825 | + | 6.37998i | −0.106455 | + | 0.249859i | ||||
\(653\) | 14.2816 | − | 24.7365i | 0.558884 | − | 0.968015i | −0.438706 | − | 0.898631i | \(-0.644563\pi\) |
0.997590 | − | 0.0693845i | \(-0.0221035\pi\) | |||||||
\(654\) | 4.51285 | + | 7.81648i | 0.176466 | + | 0.305649i | ||||
\(655\) | 6.22964 | − | 0.756416i | 0.243412 | − | 0.0295556i | ||||
\(656\) | 9.51762 | + | 4.51617i | 0.371601 | + | 0.176327i | ||||
\(657\) | −4.13242 | + | 2.38585i | −0.161221 | + | 0.0930810i | ||||
\(658\) | 5.01572 | + | 3.46210i | 0.195533 | + | 0.134967i | ||||
\(659\) | −29.9540 | + | 12.7622i | −1.16684 | + | 0.497145i | −0.886488 | − | 0.462752i | \(-0.846862\pi\) |
−0.280354 | + | 0.959897i | \(0.590452\pi\) | |||||||
\(660\) | 2.75087 | + | 0.447060i | 0.107077 | + | 0.0174018i | ||||
\(661\) | 7.31643 | − | 9.73640i | 0.284576 | − | 0.378702i | −0.634407 | − | 0.772999i | \(-0.718756\pi\) |
0.918983 | + | 0.394297i | \(0.129012\pi\) | |||||||
\(662\) | 9.04097 | + | 23.8391i | 0.351387 | + | 0.926533i | ||||
\(663\) | −1.16956 | − | 0.574420i | −0.0454219 | − | 0.0223086i | ||||
\(664\) | 1.21531 | − | 3.20452i | 0.0471634 | − | 0.124360i | ||||
\(665\) | −0.415881 | − | 0.657663i | −0.0161272 | − | 0.0255031i | ||||
\(666\) | 9.52877 | + | 4.05983i | 0.369232 | + | 0.157315i | ||||
\(667\) | 0.486729 | + | 0.307789i | 0.0188462 | + | 0.0119176i | ||||
\(668\) | 20.0255 | + | 2.43153i | 0.774808 | + | 0.0940787i | ||||
\(669\) | −1.49984 | − | 3.52026i | −0.0579873 | − | 0.136101i | ||||
\(670\) | 1.75407 | − | 5.25409i | 0.0677657 | − | 0.202983i | ||||
\(671\) | −55.1144 | − | 20.9021i | −2.12767 | − | 0.806918i | ||||
\(672\) | 8.26083 | + | 0.666883i | 0.318668 | + | 0.0257256i | ||||
\(673\) | 0.0995552 | − | 0.343704i | 0.00383757 | − | 0.0132488i | −0.958576 | − | 0.284835i | \(-0.908061\pi\) |
0.962414 | + | 0.271586i | \(0.0875483\pi\) | |||||||
\(674\) | −1.88054 | − | 0.0757831i | −0.0724356 | − | 0.00291906i | ||||
\(675\) | −4.64367 | −0.178735 | ||||||||
\(676\) | 4.36188 | + | 12.5093i | 0.167765 | + | 0.481126i | ||||
\(677\) | −32.8741 | −1.26345 | −0.631727 | − | 0.775191i | \(-0.717653\pi\) | ||||
−0.631727 | + | 0.775191i | \(0.717653\pi\) | |||||||
\(678\) | 17.6180 | + | 0.709982i | 0.676616 | + | 0.0272667i | ||||
\(679\) | 6.79163 | − | 23.4474i | 0.260639 | − | 0.899829i | ||||
\(680\) | −0.642960 | − | 0.0519051i | −0.0246564 | − | 0.00199047i | ||||
\(681\) | −18.9969 | − | 7.20456i | −0.727961 | − | 0.276079i | ||||
\(682\) | 8.30718 | − | 24.8830i | 0.318098 | − | 0.952821i | ||||
\(683\) | −5.06728 | − | 11.8934i | −0.193894 | − | 0.455087i | 0.794449 | − | 0.607331i | \(-0.207760\pi\) |
−0.988343 | + | 0.152245i | \(0.951350\pi\) | |||||||
\(684\) | −0.806049 | − | 0.0978721i | −0.0308201 | − | 0.00374223i | ||||
\(685\) | −11.0786 | − | 7.00567i | −0.423291 | − | 0.267673i | ||||
\(686\) | −16.8796 | − | 7.19173i | −0.644467 | − | 0.274582i | ||||
\(687\) | −3.89242 | − | 6.15537i | −0.148505 | − | 0.234842i | ||||
\(688\) | −0.127900 | + | 0.337244i | −0.00487613 | + | 0.0128573i | ||||
\(689\) | −6.72511 | − | 5.64379i | −0.256206 | − | 0.215011i | ||||
\(690\) | −0.422117 | − | 1.11303i | −0.0160697 | − | 0.0423724i | ||||
\(691\) | 26.9616 | − | 35.8794i | 1.02567 | − | 1.36492i | 0.0964715 | − | 0.995336i | \(-0.469244\pi\) |
0.929198 | − | 0.369582i | \(-0.120499\pi\) | |||||||
\(692\) | −10.0282 | − | 1.62973i | −0.381213 | − | 0.0619532i | ||||
\(693\) | 6.89545 | − | 2.93788i | 0.261936 | − | 0.111601i | ||||
\(694\) | 8.24406 | + | 5.69046i | 0.312940 | + | 0.216007i | ||||
\(695\) | −7.25453 | + | 4.18840i | −0.275180 | + | 0.158875i | ||||
\(696\) | 0.772658 | + | 0.366631i | 0.0292875 | + | 0.0138971i | ||||
\(697\) | 4.09315 | − | 0.496999i | 0.155039 | − | 0.0188252i | ||||
\(698\) | −7.85600 | − | 13.6070i | −0.297354 | − | 0.515032i | ||||
\(699\) | −7.78112 | + | 13.4773i | −0.294309 | + | 0.509758i | ||||
\(700\) | 3.03461 | − | 7.12249i | 0.114697 | − | 0.269205i | ||||
\(701\) | 11.1805 | + | 9.90505i | 0.422281 | + | 0.374109i | 0.847334 | − | 0.531060i | \(-0.178206\pi\) |
−0.425053 | + | 0.905168i | \(0.639745\pi\) | |||||||
\(702\) | −0.382572 | − | 3.55045i | −0.0144393 | − | 0.134003i | ||||
\(703\) | 6.23696 | − | 5.52546i | 0.235231 | − | 0.208397i | ||||
\(704\) | −9.95806 | − | 29.8280i | −0.375308 | − | 1.12419i | ||||
\(705\) | −0.0904071 | + | 2.24343i | −0.00340493 | + | 0.0844924i | ||||
\(706\) | 4.81922 | − | 5.90248i | 0.181374 | − | 0.222143i | ||||
\(707\) | 0.592382 | + | 0.668661i | 0.0222788 | + | 0.0251476i | ||||
\(708\) | −2.17442 | − | 0.443911i | −0.0817197 | − | 0.0166832i | ||||
\(709\) | −18.0727 | + | 5.23483i | −0.678735 | + | 0.196598i | −0.599641 | − | 0.800269i | \(-0.704690\pi\) |
−0.0790943 | + | 0.996867i | \(0.525203\pi\) | |||||||
\(710\) | 6.25575 | − | 2.37249i | 0.234774 | − | 0.0890380i | ||||
\(711\) | −0.00205196 | − | 0.0509189i | −7.69546e−5 | − | 0.00190961i | ||||
\(712\) | −6.35395 | − | 4.77468i | −0.238124 | − | 0.178939i | ||||
\(713\) | 11.4054 | − | 2.32842i | 0.427134 | − | 0.0872000i | ||||
\(714\) | −0.518498 | + | 0.272129i | −0.0194043 | + | 0.0101842i | ||||
\(715\) | 9.17167 | + | 3.62063i | 0.343001 | + | 0.135404i | ||||
\(716\) | −8.59829 | − | 4.51273i | −0.321333 | − | 0.168649i | ||||
\(717\) | −8.99892 | − | 2.60657i | −0.336071 | − | 0.0973441i | ||||
\(718\) | −18.0749 | + | 1.45916i | −0.674551 | + | 0.0544554i | ||||
\(719\) | 6.10282 | − | 29.8936i | 0.227597 | − | 1.11484i | −0.691976 | − | 0.721921i | \(-0.743259\pi\) |
0.919572 | − | 0.392921i | \(-0.128535\pi\) | |||||||
\(720\) | −0.256144 | − | 0.488042i | −0.00954594 | − | 0.0181883i | ||||
\(721\) | −14.7687 | − | 19.6535i | −0.550014 | − | 0.731936i | ||||
\(722\) | −9.72149 | + | 15.3733i | −0.361796 | + | 0.572135i | ||||
\(723\) | 1.72443 | − | 1.19029i | 0.0641321 | − | 0.0442672i | ||||
\(724\) | −7.66787 | + | 16.1597i | −0.284974 | + | 0.600570i | ||||
\(725\) | 0.920053 | − | 0.957877i | 0.0341699 | − | 0.0355746i | ||||
\(726\) | −7.13516 | − | 6.85342i | −0.264811 | − | 0.254354i | ||||
\(727\) | −4.51819 | − | 37.2106i | −0.167570 | − | 1.38007i | −0.797456 | − | 0.603378i | \(-0.793821\pi\) |
0.629885 | − | 0.776688i | \(-0.283102\pi\) | |||||||
\(728\) | 16.8739 | + | 5.13533i | 0.625389 | + | 0.190328i | ||||
\(729\) | 0.120537 | − | 0.992709i | 0.00446432 | − | 0.0367670i | ||||
\(730\) | −2.18524 | + | 1.78420i | −0.0808795 | + | 0.0660361i | ||||
\(731\) | 0.0282372 | + | 0.138315i | 0.00104439 | + | 0.00511577i | ||||
\(732\) | −3.64786 | − | 12.5939i | −0.134829 | − | 0.465483i | ||||
\(733\) | −6.70355 | − | 27.1974i | −0.247601 | − | 1.00456i | −0.954730 | − | 0.297473i | \(-0.903856\pi\) |
0.707129 | − | 0.707085i | \(-0.249990\pi\) | |||||||
\(734\) | −1.04574 | + | 12.9538i | −0.0385990 | + | 0.478134i | ||||
\(735\) | −0.413994 | − | 2.54741i | −0.0152704 | − | 0.0939625i | ||||
\(736\) | 6.76368 | − | 7.63462i | 0.249313 | − | 0.281416i | ||||
\(737\) | 34.3148 | − | 25.7859i | 1.26400 | − | 0.949837i | ||||
\(738\) | 7.14665 | + | 8.75306i | 0.263072 | + | 0.322205i | ||||
\(739\) | −2.80652 | + | 17.2692i | −0.103240 | + | 0.635259i | 0.882928 | + | 0.469508i | \(0.155569\pi\) |
−0.986168 | + | 0.165751i | \(0.946995\pi\) | |||||||
\(740\) | −6.17685 | − | 1.52246i | −0.227065 | − | 0.0559666i | ||||
\(741\) | −2.71244 | − | 0.946405i | −0.0996439 | − | 0.0347670i | ||||
\(742\) | −3.83086 | + | 0.944222i | −0.140635 | + | 0.0346635i | ||||
\(743\) | −1.82298 | − | 22.5817i | −0.0668787 | − | 0.828442i | −0.940052 | − | 0.341031i | \(-0.889224\pi\) |
0.873173 | − | 0.487410i | \(-0.162058\pi\) | |||||||
\(744\) | 16.3976 | − | 5.47432i | 0.601164 | − | 0.200698i | ||||
\(745\) | 3.71373 | + | 3.86641i | 0.136061 | + | 0.141654i | ||||
\(746\) | 15.2037i | 0.556648i | ||||||||
\(747\) | 0.826626 | − | 0.793985i | 0.0302447 | − | 0.0290504i | ||||
\(748\) | −1.30695 | − | 1.06709i | −0.0477867 | − | 0.0390166i | ||||
\(749\) | −6.12071 | + | 11.6620i | −0.223646 | + | 0.426121i | ||||
\(750\) | −5.62766 | + | 0.914583i | −0.205493 | + | 0.0333958i | ||||
\(751\) | −34.7020 | + | 21.9442i | −1.26630 | + | 0.800757i | −0.987197 | − | 0.159506i | \(-0.949010\pi\) |
−0.279098 | + | 0.960263i | \(0.590036\pi\) | |||||||
\(752\) | 3.13765 | − | 1.48883i | 0.114418 | − | 0.0542921i | ||||
\(753\) | 7.33271 | − | 10.6233i | 0.267219 | − | 0.387133i | ||||
\(754\) | 0.808171 | + | 0.624537i | 0.0294319 | + | 0.0227443i | ||||
\(755\) | −6.69555 | − | 9.70018i | −0.243676 | − | 0.353026i | ||||
\(756\) | 1.44385 | + | 0.833609i | 0.0525124 | + | 0.0303181i | ||||
\(757\) | −9.69543 | − | 20.4327i | −0.352386 | − | 0.742639i | 0.647424 | − | 0.762130i | \(-0.275846\pi\) |
−0.999810 | + | 0.0194918i | \(0.993795\pi\) | |||||||
\(758\) | −2.84035 | − | 0.948249i | −0.103166 | − | 0.0344419i | ||||
\(759\) | 2.20755 | − | 8.95638i | 0.0801290 | − | 0.325096i | ||||
\(760\) | −1.42102 | + | 0.0572653i | −0.0515460 | + | 0.00207723i | ||||
\(761\) | −27.4059 | + | 1.10442i | −0.993464 | + | 0.0400352i | −0.531669 | − | 0.846952i | \(-0.678435\pi\) |
−0.461794 | + | 0.886987i | \(0.652794\pi\) | |||||||
\(762\) | 2.40711 | − | 9.76604i | 0.0872005 | − | 0.353786i | ||||
\(763\) | −14.1418 | − | 4.72121i | −0.511966 | − | 0.170919i | ||||
\(764\) | 5.83496 | + | 12.2969i | 0.211101 | + | 0.444887i | ||||
\(765\) | −0.186824 | − | 0.107863i | −0.00675464 | − | 0.00389979i | ||||
\(766\) | 12.2675 | + | 17.7725i | 0.443242 | + | 0.642147i | ||||
\(767\) | −7.18143 | − | 3.17487i | −0.259306 | − | 0.114638i | ||||
\(768\) | 9.67377 | − | 14.0149i | 0.349072 | − | 0.505718i | ||||
\(769\) | 28.6036 | − | 13.5726i | 1.03147 | − | 0.489439i | 0.163756 | − | 0.986501i | \(-0.447639\pi\) |
0.867715 | + | 0.497062i | \(0.165588\pi\) | |||||||
\(770\) | 3.74528 | − | 2.36837i | 0.134971 | − | 0.0853503i | ||||
\(771\) | 15.7318 | − | 2.55667i | 0.566567 | − | 0.0920761i | ||||
\(772\) | −4.30319 | + | 8.19904i | −0.154875 | + | 0.295090i | ||||
\(773\) | −23.1720 | − | 18.9194i | −0.833440 | − | 0.680483i | 0.116406 | − | 0.993202i | \(-0.462863\pi\) |
−0.949846 | + | 0.312719i | \(0.898760\pi\) | |||||||
\(774\) | −0.279021 | + | 0.268004i | −0.0100292 | + | 0.00963319i | ||||
\(775\) | − | 26.8469i | − | 0.964371i | ||||||
\(776\) | −30.9068 | − | 32.1774i | −1.10949 | − | 1.15510i | ||||
\(777\) | −16.2286 | + | 5.41791i | −0.582198 | + | 0.194366i | ||||
\(778\) | 0.658107 | + | 8.15212i | 0.0235943 | + | 0.292268i | ||||
\(779\) | 8.82651 | − | 2.17554i | 0.316242 | − | 0.0779468i | ||||
\(780\) | 0.581746 | + | 2.11478i | 0.0208299 | + | 0.0757212i | ||||
\(781\) | 50.3390 | + | 12.4075i | 1.80127 | + | 0.443974i | ||||
\(782\) | −0.115603 | + | 0.711335i | −0.00413396 | + | 0.0254373i | ||||
\(783\) | 0.180890 | + | 0.221550i | 0.00646448 | + | 0.00791755i | ||||
\(784\) | −3.19140 | + | 2.39818i | −0.113979 | + | 0.0856494i | ||||
\(785\) | −1.53113 | + | 1.72829i | −0.0546485 | + | 0.0616854i | ||||
\(786\) | −1.67019 | − | 10.2771i | −0.0595738 | − | 0.366572i | ||||
\(787\) | 3.08556 | − | 38.2216i | 0.109988 | − | 1.36245i | −0.672644 | − | 0.739967i | \(-0.734841\pi\) |
0.782632 | − | 0.622485i | \(-0.213877\pi\) | |||||||
\(788\) | 4.83749 | + | 19.6265i | 0.172328 | + | 0.699164i | ||||
\(789\) | 5.68560 | + | 19.6290i | 0.202413 | + | 0.698809i | ||||
\(790\) | −0.00602647 | − | 0.0295196i | −0.000214412 | − | 0.00105026i | ||||
\(791\) | −22.5610 | + | 18.4205i | −0.802177 | + | 0.654958i | ||||
\(792\) | 1.65123 | − | 13.5991i | 0.0586740 | − | 0.483224i | ||||
\(793\) | −3.10865 | − | 46.2853i | −0.110392 | − | 1.64364i | ||||
\(794\) | −2.10202 | − | 17.3117i | −0.0745980 | − | 0.614369i | ||||
\(795\) | −1.04829 | − | 1.00690i | −0.0371791 | − | 0.0357110i | ||||
\(796\) | 6.36484 | − | 6.62650i | 0.225596 | − | 0.234870i | ||||
\(797\) | −2.13964 | + | 4.50919i | −0.0757898 | + | 0.159724i | −0.937809 | − | 0.347153i | \(-0.887149\pi\) |
0.862019 | + | 0.506876i | \(0.169200\pi\) | |||||||
\(798\) | −1.06250 | + | 0.733394i | −0.0376123 | + | 0.0259619i | ||||
\(799\) | 0.726493 | − | 1.14886i | 0.0257015 | − | 0.0406436i | ||||
\(800\) | −14.1318 | − | 18.8060i | −0.499634 | − | 0.664892i | ||||
\(801\) | −1.23526 | − | 2.35359i | −0.0436458 | − | 0.0831602i | ||||
\(802\) | −1.03409 | + | 5.06529i | −0.0365148 | + | 0.178861i | ||||
\(803\) | −21.7902 | + | 1.75908i | −0.768958 | + | 0.0620767i | ||||
\(804\) | 9.17082 | + | 2.65636i | 0.323430 | + | 0.0936826i | ||||
\(805\) | 1.74110 | + | 0.913800i | 0.0613657 | + | 0.0322072i | ||||
\(806\) | 20.5266 | − | 2.21181i | 0.723018 | − | 0.0779075i | ||||
\(807\) | 6.72546 | − | 3.52979i | 0.236747 | − | 0.124255i | ||||
\(808\) | 1.59973 | − | 0.326587i | 0.0562782 | − | 0.0114893i | ||||
\(809\) | −6.73693 | − | 5.06248i | −0.236858 | − | 0.177987i | 0.475685 | − | 0.879616i | \(-0.342200\pi\) |
−0.712543 | + | 0.701629i | \(0.752457\pi\) | |||||||
\(810\) | −0.0238059 | − | 0.590736i | −0.000836453 | − | 0.0207564i | ||||
\(811\) | −30.0861 | + | 11.4102i | −1.05647 | + | 0.400665i | −0.820828 | − | 0.571176i | \(-0.806488\pi\) |
−0.235639 | + | 0.971841i | \(0.575718\pi\) | |||||||
\(812\) | −0.458025 | + | 0.132669i | −0.0160735 | + | 0.00465576i | ||||
\(813\) | 28.3705 | + | 5.79187i | 0.994995 | + | 0.203130i | ||||
\(814\) | 31.4666 | + | 35.5185i | 1.10290 | + | 1.24492i | ||||
\(815\) | −2.56913 | + | 3.14662i | −0.0899928 | + | 0.110221i | ||||
\(816\) | −0.0134362 | + | 0.333415i | −0.000470360 | + | 0.0116719i | ||||
\(817\) | 0.0985599 | + | 0.295223i | 0.00344817 | + | 0.0103285i | ||||
\(818\) | −20.2879 | + | 17.9735i | −0.709350 | + | 0.628429i | ||||
\(819\) | 4.36209 | + | 3.97079i | 0.152424 | + | 0.138751i | ||||
\(820\) | −5.19509 | − | 4.60244i | −0.181420 | − | 0.160724i | ||||
\(821\) | 7.74193 | − | 18.1710i | 0.270195 | − | 0.634172i | −0.728510 | − | 0.685035i | \(-0.759787\pi\) |
0.998706 | + | 0.0508630i | \(0.0161972\pi\) | |||||||
\(822\) | −10.8740 | + | 18.8344i | −0.379275 | + | 0.656924i | ||||
\(823\) | 18.4581 | + | 31.9704i | 0.643410 | + | 1.11442i | 0.984666 | + | 0.174448i | \(0.0558142\pi\) |
−0.341256 | + | 0.939970i | \(0.610852\pi\) | |||||||
\(824\) | −44.6046 | + | 5.41598i | −1.55388 | + | 0.188675i | ||||
\(825\) | −19.2204 | − | 9.12020i | −0.669169 | − | 0.317525i | ||||
\(826\) | −3.05591 | + | 1.76433i | −0.106329 | + | 0.0613889i | ||||
\(827\) | 3.97147 | + | 2.74131i | 0.138101 | + | 0.0953245i | 0.635112 | − | 0.772420i | \(-0.280954\pi\) |
−0.497011 | + | 0.867744i | \(0.665569\pi\) | |||||||
\(828\) | 1.88767 | − | 0.804260i | 0.0656010 | − | 0.0279500i | ||||
\(829\) | −30.1395 | − | 4.89814i | −1.04679 | − | 0.170120i | −0.387392 | − | 0.921915i | \(-0.626624\pi\) |
−0.659396 | + | 0.751796i | \(0.729188\pi\) | |||||||
\(830\) | 0.407086 | − | 0.541733i | 0.0141302 | − | 0.0188038i | ||||
\(831\) | 0.743921 | + | 1.96156i | 0.0258063 | + | 0.0680457i | ||||
\(832\) | 18.0782 | − | 16.9014i | 0.626748 | − | 0.585949i | ||||
\(833\) | −0.554052 | + | 1.46091i | −0.0191968 | + | 0.0506177i | ||||
\(834\) | 7.42829 | + | 11.7469i | 0.257221 | + | 0.406762i | ||||
\(835\) | 10.8708 | + | 4.63161i | 0.376199 | + | 0.160283i | ||||
\(836\) | −3.14406 | − | 1.98819i | −0.108740 | − | 0.0687629i | ||||
\(837\) | 5.73926 | + | 0.696872i | 0.198378 | + | 0.0240874i | ||||
\(838\) | −10.6080 | − | 24.8978i | −0.366446 | − | 0.860080i | ||||
\(839\) | −13.0711 | + | 39.1527i | −0.451264 | + | 1.35170i | 0.439912 | + | 0.898041i | \(0.355010\pi\) |
−0.891175 | + | 0.453659i | \(0.850118\pi\) | |||||||
\(840\) | 2.73040 | + | 1.03550i | 0.0942077 | + | 0.0357283i | ||||
\(841\) | 28.8244 | + | 2.32695i | 0.993946 | + | 0.0802396i | ||||
\(842\) | 10.2955 | − | 35.5440i | 0.354805 | − | 1.22493i | ||||
\(843\) | 3.78675 | + | 0.152601i | 0.130422 | + | 0.00525585i | ||||
\(844\) | −4.84408 | −0.166740 | ||||||||
\(845\) | 0.415519 | + | 7.74904i | 0.0142943 | + | 0.266575i | ||||
\(846\) | 3.72525 | 0.128077 | ||||||||
\(847\) | 16.3291 | + | 0.658042i | 0.561076 | + | 0.0226106i | ||||
\(848\) | −0.625525 | + | 2.15956i | −0.0214806 | + | 0.0741597i | ||||
\(849\) | 7.13382 | + | 0.575902i | 0.244832 | + | 0.0197649i | ||||
\(850\) | 1.55408 | + | 0.589384i | 0.0533045 | + | 0.0202157i | ||||
\(851\) | −6.66786 | + | 19.9727i | −0.228571 | + | 0.684655i | ||||
\(852\) | 4.52031 | + | 10.6096i | 0.154863 | + | 0.363478i | ||||
\(853\) | −50.2855 | − | 6.10577i | −1.72174 | − | 0.209057i | −0.800848 | − | 0.598868i | \(-0.795617\pi\) |
−0.920895 | + | 0.389811i | \(0.872540\pi\) | |||||||
\(854\) | −17.6201 | − | 11.1423i | −0.602947 | − | 0.381281i | ||||
\(855\) | −0.437563 | − | 0.186428i | −0.0149643 | − | 0.00637570i | ||||
\(856\) | 12.8657 | + | 20.3454i | 0.439739 | + | 0.695392i | ||||
\(857\) | 11.5827 | − | 30.5411i | 0.395658 | − | 1.04326i | −0.578158 | − | 0.815925i | \(-0.696228\pi\) |
0.973816 | − | 0.227339i | \(-0.0730026\pi\) | |||||||
\(858\) | 5.38962 | − | 15.4469i | 0.183999 | − | 0.527348i | ||||
\(859\) | −6.07880 | − | 16.0285i | −0.207406 | − | 0.546884i | 0.790436 | − | 0.612544i | \(-0.209854\pi\) |
−0.997842 | + | 0.0656601i | \(0.979085\pi\) | |||||||
\(860\) | 0.142752 | − | 0.189969i | 0.00486781 | − | 0.00647788i | ||||
\(861\) | −18.4242 | − | 2.99422i | −0.627894 | − | 0.102043i | ||||
\(862\) | −28.8621 | + | 12.2970i | −0.983047 | + | 0.418837i | ||||
\(863\) | −19.6769 | − | 13.5820i | −0.669809 | − | 0.462336i | 0.183997 | − | 0.982927i | \(-0.441096\pi\) |
−0.853806 | + | 0.520591i | \(0.825712\pi\) | |||||||
\(864\) | 4.38710 | − | 2.53290i | 0.149252 | − | 0.0861709i | ||||
\(865\) | −5.37661 | − | 2.55123i | −0.182810 | − | 0.0867445i | ||||
\(866\) | −32.1590 | + | 3.90481i | −1.09281 | + | 0.132691i | ||||
\(867\) | −8.43470 | − | 14.6093i | −0.286457 | − | 0.496159i | ||||
\(868\) | −4.81944 | + | 8.34751i | −0.163582 | + | 0.283333i | ||||
\(869\) | 0.0915119 | − | 0.214786i | 0.00310433 | − | 0.00728613i | ||||
\(870\) | 0.126571 | + | 0.112132i | 0.00429117 | + | 0.00380164i | ||||
\(871\) | 29.6968 | + | 16.1008i | 1.00624 | + | 0.545554i | ||||
\(872\) | −20.3963 | + | 18.0696i | −0.690707 | + | 0.611913i | ||||
\(873\) | −4.72505 | − | 14.1533i | −0.159919 | − | 0.479015i | ||||
\(874\) | −0.0639782 | + | 1.58760i | −0.00216410 | + | 0.0537015i | ||||
\(875\) | 5.95635 | − | 7.29520i | 0.201361 | − | 0.246623i | ||||
\(876\) | −3.22458 | − | 3.63980i | −0.108948 | − | 0.122977i | ||||
\(877\) | −7.79671 | − | 1.59171i | −0.263276 | − | 0.0537482i | 0.0665741 | − | 0.997781i | \(-0.478793\pi\) |
−0.329850 | + | 0.944033i | \(0.606998\pi\) | |||||||
\(878\) | −8.79770 | + | 2.54829i | −0.296908 | + | 0.0860005i | ||||
\(879\) | 26.6808 | − | 10.1187i | 0.899922 | − | 0.341295i | ||||
\(880\) | −0.101678 | − | 2.52311i | −0.00342755 | − | 0.0850539i | ||||
\(881\) | 21.5452 | + | 16.1901i | 0.725875 | + | 0.545459i | 0.898203 | − | 0.439580i | \(-0.144873\pi\) |
−0.172329 | + | 0.985039i | \(0.555129\pi\) | |||||||
\(882\) | −4.19549 | + | 0.856516i | −0.141270 | + | 0.0288404i | ||||
\(883\) | 41.5591 | − | 21.8119i | 1.39858 | − | 0.734029i | 0.414213 | − | 0.910180i | \(-0.364057\pi\) |
0.984363 | + | 0.176151i | \(0.0563646\pi\) | |||||||
\(884\) | 0.335142 | − | 1.28487i | 0.0112720 | − | 0.0432148i | ||||
\(885\) | −1.15106 | − | 0.604125i | −0.0386926 | − | 0.0203074i | ||||
\(886\) | 27.3894 | + | 7.93343i | 0.920164 | + | 0.266529i | ||||
\(887\) | −28.9388 | + | 2.33618i | −0.971670 | + | 0.0784413i | −0.556096 | − | 0.831118i | \(-0.687701\pi\) |
−0.415574 | + | 0.909559i | \(0.636419\pi\) | |||||||
\(888\) | −6.25487 | + | 30.6384i | −0.209900 | + | 1.02816i | ||||
\(889\) | 7.72126 | + | 14.7116i | 0.258963 | + | 0.493412i | ||||
\(890\) | −0.944058 | − | 1.25631i | −0.0316449 | − | 0.0421117i | ||||
\(891\) | 2.44860 | − | 3.87215i | 0.0820311 | − | 0.129722i | ||||
\(892\) | 3.20918 | − | 2.21513i | 0.107451 | − | 0.0741682i | ||||
\(893\) | 1.28475 | − | 2.70754i | 0.0429924 | − | 0.0906045i | ||||
\(894\) | 6.16171 | − | 6.41502i | 0.206078 | − | 0.214550i | ||||
\(895\) | −4.10227 | − | 3.94029i | −0.137124 | − | 0.131709i | ||||
\(896\) | 0.657350 | + | 5.41377i | 0.0219605 | + | 0.180861i | ||||
\(897\) | 7.13185 | − | 1.35602i | 0.238125 | − | 0.0452761i | ||||
\(898\) | −0.796584 | + | 6.56046i | −0.0265823 | + | 0.218925i | ||||
\(899\) | −1.28087 | + | 1.04580i | −0.0427194 | + | 0.0348793i | ||||
\(900\) | −0.946569 | − | 4.63660i | −0.0315523 | − | 0.154553i | ||||
\(901\) | 0.244826 | + | 0.845236i | 0.00815632 | + | 0.0281589i | ||||
\(902\) | 12.3893 | + | 50.2655i | 0.412520 | + | 1.67366i | ||||
\(903\) | 0.0514238 | − | 0.636998i | 0.00171128 | − | 0.0211980i | ||||
\(904\) | 8.53922 | + | 52.5439i | 0.284010 | + | 1.74759i | ||||
\(905\) | −6.94776 | + | 7.84240i | −0.230951 | + | 0.260690i | ||||
\(906\) | −15.6339 | + | 11.7481i | −0.519400 | + | 0.390304i | ||||
\(907\) | −26.5707 | − | 32.5432i | −0.882264 | − | 1.08058i | −0.996200 | − | 0.0870896i | \(-0.972243\pi\) |
0.113936 | − | 0.993488i | \(-0.463654\pi\) | |||||||
\(908\) | 3.32126 | − | 20.4365i | 0.110220 | − | 0.678210i | ||||
\(909\) | 0.530168 | + | 0.130675i | 0.0175846 | + | 0.00433421i | ||||
\(910\) | 2.92212 | + | 1.90350i | 0.0968674 | + | 0.0631006i | ||||
\(911\) | 0.416800 | − | 0.102732i | 0.0138092 | − | 0.00340366i | −0.232405 | − | 0.972619i | \(-0.574659\pi\) |
0.246214 | + | 0.969215i | \(0.420813\pi\) | |||||||
\(912\) | 0.0591987 | + | 0.733308i | 0.00196027 | + | 0.0242823i | ||||
\(913\) | 4.98085 | − | 1.66285i | 0.164842 | − | 0.0550324i | ||||
\(914\) | −6.10201 | − | 6.35286i | −0.201837 | − | 0.210134i | ||||
\(915\) | − | 7.68027i | − | 0.253902i | ||||||
\(916\) | 5.35257 | − | 5.14122i | 0.176854 | − | 0.169871i | ||||
\(917\) | 13.3223 | + | 10.8774i | 0.439943 | + | 0.359202i | ||||
\(918\) | −0.166336 | + | 0.316927i | −0.00548992 | + | 0.0104602i | ||||
\(919\) | −49.2777 | + | 8.00841i | −1.62552 | + | 0.264173i | −0.903783 | − | 0.427991i | \(-0.859221\pi\) |
−0.721740 | + | 0.692164i | \(0.756657\pi\) | |||||||
\(920\) | 3.03750 | − | 1.92080i | 0.100143 | − | 0.0633268i | ||||
\(921\) | 6.91408 | − | 3.28077i | 0.227827 | − | 0.108105i | ||||
\(922\) | 2.50683 | − | 3.63176i | 0.0825579 | − | 0.119606i | ||||
\(923\) | 7.62144 | + | 40.0843i | 0.250863 | + | 1.31939i | ||||
\(924\) | 4.33898 | + | 6.28610i | 0.142742 | + | 0.206797i | ||||
\(925\) | 42.0564 | + | 24.2813i | 1.38281 | + | 0.798364i | ||||
\(926\) | 4.42734 | + | 9.33042i | 0.145491 | + | 0.306617i | ||||
\(927\) | −14.2535 | − | 4.75850i | −0.468145 | − | 0.156290i | ||||
\(928\) | −0.346745 | + | 1.40680i | −0.0113824 | + | 0.0461804i | ||||
\(929\) | −10.8193 | + | 0.436002i | −0.354969 | + | 0.0143048i | −0.217110 | − | 0.976147i | \(-0.569663\pi\) |
−0.137859 | + | 0.990452i | \(0.544022\pi\) | |||||||
\(930\) | 3.41529 | − | 0.137631i | 0.111992 | − | 0.00451311i | ||||
\(931\) | −0.824397 | + | 3.34471i | −0.0270185 | + | 0.109618i | ||||
\(932\) | −15.0429 | − | 5.02206i | −0.492746 | − | 0.164503i | ||||
\(933\) | 0.219238 | + | 0.462034i | 0.00717752 | + | 0.0151263i | ||||
\(934\) | 20.3032 | + | 11.7221i | 0.664341 | + | 0.383557i | ||||
\(935\) | −0.561432 | − | 0.813375i | −0.0183608 | − | 0.0266002i | ||||
\(936\) | 10.2714 | − | 3.27576i | 0.335731 | − | 0.107072i | ||||
\(937\) | −7.50903 | + | 10.8787i | −0.245309 | + | 0.355392i | −0.926226 | − | 0.376969i | \(-0.876966\pi\) |
0.680917 | + | 0.732361i | \(0.261582\pi\) | |||||||
\(938\) | 13.7153 | − | 6.50801i | 0.447822 | − | 0.212494i | ||||
\(939\) | −0.586302 | + | 0.370755i | −0.0191333 | + | 0.0120991i | ||||
\(940\) | −2.25844 | + | 0.367033i | −0.0736623 | + | 0.0119713i | ||||
\(941\) | −16.4568 | + | 31.3558i | −0.536476 | + | 1.02217i | 0.454828 | + | 0.890579i | \(0.349701\pi\) |
−0.991304 | + | 0.131591i | \(0.957992\pi\) | |||||||
\(942\) | 2.96750 | + | 2.42289i | 0.0966863 | + | 0.0789419i | ||||
\(943\) | −16.5676 | + | 15.9134i | −0.539517 | + | 0.518213i | ||||
\(944\) | 2.01079i | 0.0654457i | ||||||||
\(945\) | 0.676512 | + | 0.704323i | 0.0220069 | + | 0.0229116i | ||||
\(946\) | −1.68125 | + | 0.561283i | −0.0546620 | + | 0.0182489i | ||||
\(947\) | −1.56554 | − | 19.3927i | −0.0508732 | − | 0.630177i | −0.971082 | − | 0.238748i | \(-0.923263\pi\) |
0.920208 | − | 0.391429i | \(-0.128019\pi\) | |||||||
\(948\) | 0.0504232 | − | 0.0124282i | 0.00163767 | − | 0.000403649i | ||||
\(949\) | −8.40052 | − | 15.0143i | −0.272693 | − | 0.487386i | ||||
\(950\) | 3.55801 | + | 0.876970i | 0.115437 | + | 0.0284527i | ||||
\(951\) | −4.16860 | + | 25.6505i | −0.135176 | + | 0.831773i | ||||
\(952\) | −1.11809 | − | 1.36941i | −0.0362375 | − | 0.0443829i | ||||
\(953\) | 20.8931 | − | 15.7001i | 0.676793 | − | 0.508577i | −0.205872 | − | 0.978579i | \(-0.566003\pi\) |
0.882665 | + | 0.470002i | \(0.155747\pi\) | |||||||
\(954\) | −1.59923 | + | 1.80515i | −0.0517769 | + | 0.0584440i | ||||
\(955\) | 1.27894 | + | 7.86961i | 0.0413854 | + | 0.254655i | ||||
\(956\) | 0.768256 | − | 9.51656i | 0.0248472 | − | 0.307788i | ||||
\(957\) | 0.313588 | + | 1.27228i | 0.0101369 | + | 0.0411269i | ||||
\(958\) | 4.07512 | + | 14.0690i | 0.131661 | + | 0.454548i | ||||
\(959\) | −7.18580 | − | 35.1984i | −0.232041 | − | 1.13661i | ||||
\(960\) | 3.17381 | − | 2.59134i | 0.102434 | − | 0.0836350i | ||||
\(961\) | −0.292265 | + | 2.40702i | −0.00942789 | + | 0.0776457i | ||||
\(962\) | −15.1001 | + | 34.1559i | −0.486847 | + | 1.10123i | ||||
\(963\) | 0.970375 | + | 7.99176i | 0.0312699 | + | 0.257531i | ||||
\(964\) | 1.53998 | + | 1.47918i | 0.0495996 | + | 0.0476410i | ||||
\(965\) | −3.75733 | + | 3.91179i | −0.120953 | + | 0.125925i | ||||
\(966\) | 1.39860 | − | 2.94748i | 0.0449992 | − | 0.0948338i | ||||
\(967\) | 39.9730 | − | 27.5914i | 1.28544 | − | 0.887279i | 0.287924 | − | 0.957653i | \(-0.407035\pi\) |
0.997521 | + | 0.0703746i | \(0.0224195\pi\) | |||||||
\(968\) | 15.9639 | − | 25.2450i | 0.513101 | − | 0.811404i | ||||
\(969\) | 0.172980 | + | 0.230195i | 0.00555693 | + | 0.00739493i | ||||
\(970\) | −4.09961 | − | 7.81116i | −0.131631 | − | 0.250801i | ||||
\(971\) | 3.14405 | − | 15.4006i | 0.100897 | − | 0.494228i | −0.897668 | − | 0.440673i | \(-0.854740\pi\) |
0.998565 | − | 0.0535546i | \(-0.0170551\pi\) | |||||||
\(972\) | 1.01577 | − | 0.0820013i | 0.0325808 | − | 0.00263019i | ||||
\(973\) | −22.0518 | − | 6.38737i | −0.706947 | − | 0.204770i | ||||
\(974\) | 5.93326 | + | 3.11402i | 0.190114 | + | 0.0997795i | ||||
\(975\) | 0.225880 | − | 16.7415i | 0.00723396 | − | 0.536156i | ||||
\(976\) | −10.5191 | + | 5.52085i | −0.336708 | + | 0.176718i | ||||
\(977\) | −9.63881 | + | 1.96778i | −0.308373 | + | 0.0629548i | −0.351720 | − | 0.936105i | \(-0.614403\pi\) |
0.0433469 | + | 0.999060i | \(0.486198\pi\) | |||||||
\(978\) | 5.38817 | + | 4.04895i | 0.172295 | + | 0.129471i | ||||
\(979\) | −0.490343 | − | 12.1677i | −0.0156714 | − | 0.388882i | ||||
\(980\) | 2.45914 | − | 0.932630i | 0.0785544 | − | 0.0297918i | ||||
\(981\) | −8.75322 | + | 2.53540i | −0.279469 | + | 0.0809491i | ||||
\(982\) | 42.0631 | + | 8.58724i | 1.34229 | + | 0.274030i | ||||
\(983\) | −10.6732 | − | 12.0475i | −0.340421 | − | 0.384256i | 0.553222 | − | 0.833034i | \(-0.313398\pi\) |
−0.893644 | + | 0.448777i | \(0.851860\pi\) | |||||||
\(984\) | −21.5763 | + | 26.4261i | −0.687826 | + | 0.842434i | ||||
\(985\) | −0.476770 | + | 11.8309i | −0.0151911 | + | 0.376964i | ||||
\(986\) | −0.0324181 | − | 0.0971042i | −0.00103240 | − | 0.00309243i | ||||
\(987\) | −4.60598 | + | 4.08054i | −0.146610 | + | 0.129885i | ||||
\(988\) | 0.392059 | − | 2.90123i | 0.0124731 | − | 0.0923003i | ||||
\(989\) | −0.588711 | − | 0.521552i | −0.0187199 | − | 0.0165844i | ||||
\(990\) | 1.06168 | − | 2.49185i | 0.0337423 | − | 0.0791961i | ||||
\(991\) | −13.2076 | + | 22.8762i | −0.419553 | + | 0.726687i | −0.995894 | − | 0.0905221i | \(-0.971146\pi\) |
0.576342 | + | 0.817209i | \(0.304480\pi\) | |||||||
\(992\) | 14.6437 | + | 25.3636i | 0.464938 | + | 0.805297i | ||||
\(993\) | −25.5549 | + | 3.10293i | −0.810960 | + | 0.0984684i | ||||
\(994\) | 16.5662 | + | 7.86077i | 0.525449 | + | 0.249329i | ||||
\(995\) | 4.66101 | − | 2.69104i | 0.147764 | − | 0.0853116i | ||||
\(996\) | 0.961278 | + | 0.663522i | 0.0304593 | + | 0.0210245i | ||||
\(997\) | 34.3344 | − | 14.6285i | 1.08738 | − | 0.463290i | 0.227498 | − | 0.973779i | \(-0.426946\pi\) |
0.859885 | + | 0.510488i | \(0.170535\pi\) | |||||||
\(998\) | −15.7212 | − | 2.55495i | −0.497646 | − | 0.0808754i | ||||
\(999\) | −6.28244 | + | 8.36042i | −0.198768 | + | 0.264512i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 507.2.t.b.4.10 | ✓ | 360 | |
169.127 | even | 78 | inner | 507.2.t.b.127.10 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.t.b.4.10 | ✓ | 360 | 1.1 | even | 1 | trivial | |
507.2.t.b.127.10 | yes | 360 | 169.127 | even | 78 | inner |