Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.12 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.12 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0415142 | + | 1.41360i | −0.0293550 | + | 0.999569i | ||||
\(3\) | 1.52574 | + | 0.819834i | 0.880884 | + | 0.473331i | ||||
\(4\) | −1.99655 | − | 0.117369i | −0.998277 | − | 0.0586847i | ||||
\(5\) | −0.769670 | − | 0.206232i | −0.344207 | − | 0.0922300i | 0.0825742 | − | 0.996585i | \(-0.473686\pi\) |
−0.426781 | + | 0.904355i | \(0.640353\pi\) | |||||||
\(6\) | −1.22226 | + | 2.12275i | −0.498986 | + | 0.866610i | ||||
\(7\) | −2.17574 | + | 3.76849i | −0.822352 | + | 1.42436i | 0.0815745 | + | 0.996667i | \(0.474005\pi\) |
−0.903926 | + | 0.427688i | \(0.859328\pi\) | |||||||
\(8\) | 0.248799 | − | 2.81746i | 0.0879638 | − | 0.996124i | ||||
\(9\) | 1.65574 | + | 2.50170i | 0.551915 | + | 0.833901i | ||||
\(10\) | 0.323483 | − | 1.07945i | 0.102294 | − | 0.341351i | ||||
\(11\) | 3.93991 | − | 1.05570i | 1.18793 | − | 0.318304i | 0.389861 | − | 0.920874i | \(-0.372523\pi\) |
0.798066 | + | 0.602570i | \(0.205856\pi\) | |||||||
\(12\) | −2.94999 | − | 1.81592i | −0.851589 | − | 0.524210i | ||||
\(13\) | 1.69772 | + | 0.454903i | 0.470863 | + | 0.126167i | 0.486445 | − | 0.873711i | \(-0.338293\pi\) |
−0.0155820 | + | 0.999879i | \(0.504960\pi\) | |||||||
\(14\) | −5.23683 | − | 3.23208i | −1.39960 | − | 0.863809i | ||||
\(15\) | −1.00524 | − | 0.945658i | −0.259551 | − | 0.244168i | ||||
\(16\) | 3.97245 | + | 0.468669i | 0.993112 | + | 0.117167i | ||||
\(17\) | − | 6.68683i | − | 1.62180i | −0.585188 | − | 0.810898i | \(-0.698979\pi\) | ||
0.585188 | − | 0.810898i | \(-0.301021\pi\) | |||||||
\(18\) | −3.60515 | + | 2.23671i | −0.849743 | + | 0.527198i | ||||
\(19\) | −0.708282 | − | 0.708282i | −0.162491 | − | 0.162491i | 0.621178 | − | 0.783669i | \(-0.286654\pi\) |
−0.783669 | + | 0.621178i | \(0.786654\pi\) | |||||||
\(20\) | 1.51248 | + | 0.502090i | 0.338201 | + | 0.112271i | ||||
\(21\) | −6.40914 | + | 3.96598i | −1.39859 | + | 0.865447i | ||||
\(22\) | 1.32877 | + | 5.61330i | 0.283295 | + | 1.19676i | ||||
\(23\) | 3.88191 | − | 2.24122i | 0.809433 | − | 0.467327i | −0.0373258 | − | 0.999303i | \(-0.511884\pi\) |
0.846759 | + | 0.531977i | \(0.178551\pi\) | |||||||
\(24\) | 2.68945 | − | 4.09473i | 0.548983 | − | 0.835834i | ||||
\(25\) | −3.78027 | − | 2.18254i | −0.756053 | − | 0.436508i | ||||
\(26\) | −0.713532 | + | 2.38102i | −0.139935 | + | 0.466956i | ||||
\(27\) | 0.475249 | + | 5.17437i | 0.0914618 | + | 0.995809i | ||||
\(28\) | 4.78628 | − | 7.26863i | 0.904523 | − | 1.37364i | ||||
\(29\) | −3.98981 | + | 1.06907i | −0.740888 | + | 0.198520i | −0.609473 | − | 0.792807i | \(-0.708619\pi\) |
−0.131415 | + | 0.991327i | \(0.541952\pi\) | |||||||
\(30\) | 1.37852 | − | 1.38175i | 0.251682 | − | 0.252272i | ||||
\(31\) | 4.94177 | − | 2.85313i | 0.887568 | − | 0.512437i | 0.0144215 | − | 0.999896i | \(-0.495409\pi\) |
0.873146 | + | 0.487459i | \(0.162076\pi\) | |||||||
\(32\) | −0.827425 | + | 5.59601i | −0.146269 | + | 0.989245i | ||||
\(33\) | 6.87676 | + | 1.61936i | 1.19709 | + | 0.281894i | ||||
\(34\) | 9.45254 | + | 0.277599i | 1.62110 | + | 0.0476078i | ||||
\(35\) | 2.45179 | − | 2.45179i | 0.414427 | − | 0.414427i | ||||
\(36\) | −3.01216 | − | 5.18911i | −0.502026 | − | 0.864852i | ||||
\(37\) | −1.51665 | − | 1.51665i | −0.249335 | − | 0.249335i | 0.571363 | − | 0.820698i | \(-0.306415\pi\) |
−0.820698 | + | 0.571363i | \(0.806415\pi\) | |||||||
\(38\) | 1.03063 | − | 0.971827i | 0.167191 | − | 0.157651i | ||||
\(39\) | 2.21733 | + | 2.08591i | 0.355057 | + | 0.334013i | ||||
\(40\) | −0.772546 | + | 2.11721i | −0.122150 | + | 0.334760i | ||||
\(41\) | −1.36389 | − | 2.36233i | −0.213005 | − | 0.368935i | 0.739649 | − | 0.672993i | \(-0.234992\pi\) |
−0.952653 | + | 0.304058i | \(0.901658\pi\) | |||||||
\(42\) | −5.34025 | − | 9.22463i | −0.824019 | − | 1.42339i | ||||
\(43\) | 2.30553 | + | 8.60436i | 0.351590 | + | 1.31215i | 0.884722 | + | 0.466120i | \(0.154348\pi\) |
−0.533131 | + | 0.846033i | \(0.678985\pi\) | |||||||
\(44\) | −7.99014 | + | 1.64533i | −1.20456 | + | 0.248042i | ||||
\(45\) | −0.758445 | − | 2.26695i | −0.113062 | − | 0.337937i | ||||
\(46\) | 3.00704 | + | 5.58052i | 0.443364 | + | 0.822803i | ||||
\(47\) | −1.23164 | + | 2.13327i | −0.179654 | + | 0.311169i | −0.941762 | − | 0.336280i | \(-0.890831\pi\) |
0.762108 | + | 0.647449i | \(0.224164\pi\) | |||||||
\(48\) | 5.67668 | + | 3.97181i | 0.819358 | + | 0.573282i | ||||
\(49\) | −5.96768 | − | 10.3363i | −0.852525 | − | 1.47662i | ||||
\(50\) | 3.24218 | − | 5.25319i | 0.458513 | − | 0.742914i | ||||
\(51\) | 5.48209 | − | 10.2023i | 0.767647 | − | 1.42861i | ||||
\(52\) | −3.33620 | − | 1.10750i | −0.462647 | − | 0.153582i | ||||
\(53\) | −1.68291 | + | 1.68291i | −0.231165 | + | 0.231165i | −0.813179 | − | 0.582014i | \(-0.802265\pi\) |
0.582014 | + | 0.813179i | \(0.302265\pi\) | |||||||
\(54\) | −7.33424 | + | 0.457004i | −0.998064 | + | 0.0621904i | ||||
\(55\) | −3.25015 | −0.438250 | ||||||||
\(56\) | 10.0763 | + | 7.06766i | 1.34650 | + | 0.944456i | ||||
\(57\) | −0.499978 | − | 1.66133i | −0.0662237 | − | 0.220048i | ||||
\(58\) | −1.34560 | − | 5.68439i | −0.176686 | − | 0.746397i | ||||
\(59\) | −0.269331 | + | 1.00516i | −0.0350640 | + | 0.130860i | −0.981239 | − | 0.192794i | \(-0.938245\pi\) |
0.946175 | + | 0.323655i | \(0.104912\pi\) | |||||||
\(60\) | 1.89602 | + | 2.00604i | 0.244775 | + | 0.258979i | ||||
\(61\) | −0.528935 | − | 1.97401i | −0.0677232 | − | 0.252747i | 0.923762 | − | 0.382968i | \(-0.125098\pi\) |
−0.991485 | + | 0.130221i | \(0.958431\pi\) | |||||||
\(62\) | 3.82804 | + | 7.10415i | 0.486162 | + | 0.902228i | ||||
\(63\) | −13.0301 | + | 0.796606i | −1.64164 | + | 0.100363i | ||||
\(64\) | −7.87620 | − | 1.40197i | −0.984525 | − | 0.175246i | ||||
\(65\) | −1.21287 | − | 0.700250i | −0.150438 | − | 0.0868553i | ||||
\(66\) | −2.57461 | + | 9.65378i | −0.316913 | + | 1.18830i | ||||
\(67\) | −2.14659 | + | 8.01120i | −0.262248 | + | 0.978723i | 0.701665 | + | 0.712507i | \(0.252440\pi\) |
−0.963913 | + | 0.266217i | \(0.914226\pi\) | |||||||
\(68\) | −0.784830 | + | 13.3506i | −0.0951746 | + | 1.61900i | ||||
\(69\) | 7.76019 | − | 0.236992i | 0.934217 | − | 0.0285305i | ||||
\(70\) | 3.36407 | + | 3.56764i | 0.402083 | + | 0.426414i | ||||
\(71\) | − | 8.05218i | − | 0.955618i | −0.878464 | − | 0.477809i | \(-0.841431\pi\) | ||
0.878464 | − | 0.477809i | \(-0.158569\pi\) | |||||||
\(72\) | 7.46040 | − | 4.04258i | 0.879217 | − | 0.476422i | ||||
\(73\) | 9.73126i | 1.13896i | 0.822006 | + | 0.569479i | \(0.192855\pi\) | ||||
−0.822006 | + | 0.569479i | \(0.807145\pi\) | |||||||
\(74\) | 2.20690 | − | 2.08098i | 0.256547 | − | 0.241908i | ||||
\(75\) | −3.97837 | − | 6.42917i | −0.459383 | − | 0.742377i | ||||
\(76\) | 1.33099 | + | 1.49725i | 0.152675 | + | 0.171747i | ||||
\(77\) | −4.59383 | + | 17.1444i | −0.523516 | + | 1.95379i | ||||
\(78\) | −3.04070 | + | 3.04783i | −0.344292 | + | 0.345099i | ||||
\(79\) | −11.9835 | − | 6.91865i | −1.34824 | − | 0.778409i | −0.360243 | − | 0.932858i | \(-0.617306\pi\) |
−0.988001 | + | 0.154449i | \(0.950640\pi\) | |||||||
\(80\) | −2.96082 | − | 1.17997i | −0.331030 | − | 0.131924i | ||||
\(81\) | −3.51702 | + | 8.28436i | −0.390780 | + | 0.920484i | ||||
\(82\) | 3.39603 | − | 1.82994i | 0.375028 | − | 0.202083i | ||||
\(83\) | 0.817277 | + | 3.05012i | 0.0897078 | + | 0.334794i | 0.996164 | − | 0.0875058i | \(-0.0278896\pi\) |
−0.906456 | + | 0.422300i | \(0.861223\pi\) | |||||||
\(84\) | 13.2617 | − | 7.16605i | 1.44697 | − | 0.781880i | ||||
\(85\) | −1.37904 | + | 5.14666i | −0.149578 | + | 0.558233i | ||||
\(86\) | −12.2589 | + | 2.90190i | −1.32191 | + | 0.312920i | ||||
\(87\) | −6.96385 | − | 1.63987i | −0.746603 | − | 0.175812i | ||||
\(88\) | −1.99414 | − | 11.3632i | −0.212576 | − | 1.21132i | ||||
\(89\) | −1.71120 | −0.181386 | −0.0906932 | − | 0.995879i | \(-0.528908\pi\) | ||||
−0.0906932 | + | 0.995879i | \(0.528908\pi\) | |||||||
\(90\) | 3.23606 | − | 0.978030i | 0.341111 | − | 0.103093i | ||||
\(91\) | −5.40809 | + | 5.40809i | −0.566922 | + | 0.566922i | ||||
\(92\) | −8.01348 | + | 4.01910i | −0.835463 | + | 0.419020i | ||||
\(93\) | 9.87893 | − | 0.301697i | 1.02440 | − | 0.0312845i | ||||
\(94\) | −2.96446 | − | 1.82962i | −0.305761 | − | 0.188710i | ||||
\(95\) | 0.399073 | + | 0.691214i | 0.0409440 | + | 0.0709171i | ||||
\(96\) | −5.85024 | + | 7.85969i | −0.597087 | + | 0.802176i | ||||
\(97\) | 3.66561 | − | 6.34903i | 0.372187 | − | 0.644646i | −0.617715 | − | 0.786402i | \(-0.711941\pi\) |
0.989902 | + | 0.141756i | \(0.0452748\pi\) | |||||||
\(98\) | 14.8592 | − | 8.00683i | 1.50101 | − | 0.808812i | ||||
\(99\) | 9.16451 | + | 8.10851i | 0.921068 | + | 0.814936i | ||||
\(100\) | 7.29134 | + | 4.80124i | 0.729134 | + | 0.480124i | ||||
\(101\) | −3.75813 | − | 14.0255i | −0.373948 | − | 1.39559i | −0.854876 | − | 0.518833i | \(-0.826367\pi\) |
0.480928 | − | 0.876760i | \(-0.340300\pi\) | |||||||
\(102\) | 14.1945 | + | 8.17305i | 1.40546 | + | 0.809253i | ||||
\(103\) | −7.43866 | − | 12.8841i | −0.732953 | − | 1.26951i | −0.955616 | − | 0.294616i | \(-0.904808\pi\) |
0.222663 | − | 0.974895i | \(-0.428525\pi\) | |||||||
\(104\) | 1.70406 | − | 4.67009i | 0.167097 | − | 0.457940i | ||||
\(105\) | 5.75084 | − | 1.73072i | 0.561224 | − | 0.168901i | ||||
\(106\) | −2.30910 | − | 2.44883i | −0.224280 | − | 0.237851i | ||||
\(107\) | 0.0974799 | + | 0.0974799i | 0.00942374 | + | 0.00942374i | 0.711803 | − | 0.702379i | \(-0.247879\pi\) |
−0.702379 | + | 0.711803i | \(0.747879\pi\) | |||||||
\(108\) | −0.341547 | − | 10.3867i | −0.0328654 | − | 0.999460i | ||||
\(109\) | 8.80665 | − | 8.80665i | 0.843524 | − | 0.843524i | −0.145791 | − | 0.989315i | \(-0.546573\pi\) |
0.989315 | + | 0.145791i | \(0.0465728\pi\) | |||||||
\(110\) | 0.134927 | − | 4.59442i | 0.0128648 | − | 0.438061i | ||||
\(111\) | −1.07060 | − | 3.55740i | −0.101617 | − | 0.337654i | ||||
\(112\) | −10.4092 | + | 13.9504i | −0.983575 | + | 1.31819i | ||||
\(113\) | 7.22037 | − | 4.16868i | 0.679235 | − | 0.392157i | −0.120331 | − | 0.992734i | \(-0.538396\pi\) |
0.799567 | + | 0.600577i | \(0.205062\pi\) | |||||||
\(114\) | 2.36921 | − | 0.637802i | 0.221897 | − | 0.0597357i | ||||
\(115\) | −3.45000 | + | 0.924424i | −0.321714 | + | 0.0862030i | ||||
\(116\) | 8.09133 | − | 1.66616i | 0.751262 | − | 0.154699i | ||||
\(117\) | 1.67296 | + | 5.00039i | 0.154665 | + | 0.462286i | ||||
\(118\) | −1.40971 | − | 0.422456i | −0.129775 | − | 0.0388903i | ||||
\(119\) | 25.1993 | + | 14.5488i | 2.31001 | + | 1.33369i | ||||
\(120\) | −2.91446 | + | 2.59694i | −0.266052 | + | 0.237067i | ||||
\(121\) | 4.88210 | − | 2.81868i | 0.443827 | − | 0.256244i | ||||
\(122\) | 2.81243 | − | 0.665756i | 0.254626 | − | 0.0602747i | ||||
\(123\) | −0.144221 | − | 4.72247i | −0.0130040 | − | 0.425811i | ||||
\(124\) | −10.2014 | + | 5.11641i | −0.916110 | + | 0.459468i | ||||
\(125\) | 5.27664 | + | 5.27664i | 0.471957 | + | 0.471957i | ||||
\(126\) | −0.585151 | − | 18.4525i | −0.0521294 | − | 1.64388i | ||||
\(127\) | 4.84829i | 0.430216i | 0.976590 | + | 0.215108i | \(0.0690103\pi\) | ||||
−0.976590 | + | 0.215108i | \(0.930990\pi\) | |||||||
\(128\) | 2.30880 | − | 11.0756i | 0.204071 | − | 0.978956i | ||||
\(129\) | −3.53651 | + | 15.0181i | −0.311373 | + | 1.32227i | ||||
\(130\) | 1.04023 | − | 1.68545i | 0.0912340 | − | 0.147823i | ||||
\(131\) | −20.4961 | − | 5.49193i | −1.79076 | − | 0.479832i | −0.798282 | − | 0.602284i | \(-0.794258\pi\) |
−0.992474 | + | 0.122452i | \(0.960924\pi\) | |||||||
\(132\) | −13.5397 | − | 4.04025i | −1.17848 | − | 0.351659i | ||||
\(133\) | 4.21019 | − | 1.12812i | 0.365070 | − | 0.0978201i | ||||
\(134\) | −11.2355 | − | 3.36701i | −0.970603 | − | 0.290866i | ||||
\(135\) | 0.701338 | − | 4.08057i | 0.0603616 | − | 0.351200i | ||||
\(136\) | −18.8399 | − | 1.66368i | −1.61551 | − | 0.142659i | ||||
\(137\) | 2.93860 | − | 5.08981i | 0.251062 | − | 0.434852i | −0.712757 | − | 0.701411i | \(-0.752554\pi\) |
0.963818 | + | 0.266560i | \(0.0858869\pi\) | |||||||
\(138\) | 0.0128540 | + | 10.9797i | 0.00109420 | + | 0.934652i | ||||
\(139\) | 6.97384 | + | 1.86863i | 0.591513 | + | 0.158496i | 0.542145 | − | 0.840285i | \(-0.317612\pi\) |
0.0493686 | + | 0.998781i | \(0.484279\pi\) | |||||||
\(140\) | −5.18288 | + | 4.60736i | −0.438034 | + | 0.389393i | ||||
\(141\) | −3.62809 | + | 2.24506i | −0.305540 | + | 0.189068i | ||||
\(142\) | 11.3826 | + | 0.334280i | 0.955206 | + | 0.0280522i | ||||
\(143\) | 7.16910 | 0.599510 | ||||||||
\(144\) | 5.40489 | + | 10.7139i | 0.450408 | + | 0.892823i | ||||
\(145\) | 3.29131 | 0.273328 | ||||||||
\(146\) | −13.7562 | − | 0.403986i | −1.13847 | − | 0.0334341i | ||||
\(147\) | −0.631036 | − | 20.6630i | −0.0520470 | − | 1.70426i | ||||
\(148\) | 2.85006 | + | 3.20607i | 0.234273 | + | 0.263538i | ||||
\(149\) | 4.34504 | + | 1.16425i | 0.355960 | + | 0.0953792i | 0.432367 | − | 0.901698i | \(-0.357678\pi\) |
−0.0764076 | + | 0.997077i | \(0.524345\pi\) | |||||||
\(150\) | 9.25346 | − | 5.35694i | 0.755542 | − | 0.437392i | ||||
\(151\) | −4.23499 | + | 7.33521i | −0.344638 | + | 0.596931i | −0.985288 | − | 0.170902i | \(-0.945332\pi\) |
0.640650 | + | 0.767833i | \(0.278665\pi\) | |||||||
\(152\) | −2.17178 | + | 1.81934i | −0.176154 | + | 0.147568i | ||||
\(153\) | 16.7285 | − | 11.0717i | 1.35242 | − | 0.895093i | ||||
\(154\) | −24.0447 | − | 7.20560i | −1.93758 | − | 0.580644i | ||||
\(155\) | −4.39194 | + | 1.17682i | −0.352769 | + | 0.0945241i | ||||
\(156\) | −4.18219 | − | 4.42488i | −0.334843 | − | 0.354274i | ||||
\(157\) | 16.3507 | + | 4.38117i | 1.30493 | + | 0.349655i | 0.843313 | − | 0.537423i | \(-0.180602\pi\) |
0.461618 | + | 0.887079i | \(0.347269\pi\) | |||||||
\(158\) | 10.2777 | − | 16.6526i | 0.817651 | − | 1.32481i | ||||
\(159\) | −3.94738 | + | 1.18797i | −0.313048 | + | 0.0942121i | ||||
\(160\) | 1.79092 | − | 4.13644i | 0.141585 | − | 0.327014i | ||||
\(161\) | 19.5052i | 1.53723i | ||||||||
\(162\) | −11.5648 | − | 5.31560i | −0.908616 | − | 0.417633i | ||||
\(163\) | 13.6982 | + | 13.6982i | 1.07293 | + | 1.07293i | 0.997123 | + | 0.0758059i | \(0.0241529\pi\) |
0.0758059 | + | 0.997123i | \(0.475847\pi\) | |||||||
\(164\) | 2.44582 | + | 4.87661i | 0.190987 | + | 0.380799i | ||||
\(165\) | −4.95887 | − | 2.66458i | −0.386047 | − | 0.207437i | ||||
\(166\) | −4.34559 | + | 1.02868i | −0.337283 | + | 0.0798412i | ||||
\(167\) | −7.11859 | + | 4.10992i | −0.550853 | + | 0.318035i | −0.749466 | − | 0.662043i | \(-0.769690\pi\) |
0.198613 | + | 0.980078i | \(0.436356\pi\) | |||||||
\(168\) | 9.57941 | + | 19.0442i | 0.739067 | + | 1.46930i | ||||
\(169\) | −8.58301 | − | 4.95540i | −0.660232 | − | 0.381185i | ||||
\(170\) | −7.21808 | − | 2.16308i | −0.553602 | − | 0.165901i | ||||
\(171\) | 0.599176 | − | 2.94464i | 0.0458202 | − | 0.225183i | ||||
\(172\) | −3.59323 | − | 17.4497i | −0.273981 | − | 1.33052i | ||||
\(173\) | −9.41440 | + | 2.52258i | −0.715764 | + | 0.191788i | −0.598281 | − | 0.801287i | \(-0.704149\pi\) |
−0.117483 | + | 0.993075i | \(0.537483\pi\) | |||||||
\(174\) | 2.60722 | − | 9.77605i | 0.197653 | − | 0.741120i | ||||
\(175\) | 16.4497 | − | 9.49727i | 1.24348 | − | 0.717926i | ||||
\(176\) | 16.1459 | − | 2.34718i | 1.21704 | − | 0.176926i | ||||
\(177\) | −1.23499 | + | 1.31280i | −0.0928277 | + | 0.0986761i | ||||
\(178\) | 0.0710390 | − | 2.41895i | 0.00532460 | − | 0.181308i | ||||
\(179\) | −2.59887 | + | 2.59887i | −0.194248 | + | 0.194248i | −0.797529 | − | 0.603281i | \(-0.793860\pi\) |
0.603281 | + | 0.797529i | \(0.293860\pi\) | |||||||
\(180\) | 1.24820 | + | 4.61511i | 0.0930356 | + | 0.343990i | ||||
\(181\) | 6.92926 | + | 6.92926i | 0.515048 | + | 0.515048i | 0.916069 | − | 0.401021i | \(-0.131345\pi\) |
−0.401021 | + | 0.916069i | \(0.631345\pi\) | |||||||
\(182\) | −7.42039 | − | 7.86941i | −0.550036 | − | 0.583320i | ||||
\(183\) | 0.811348 | − | 3.44546i | 0.0599765 | − | 0.254696i | ||||
\(184\) | −5.34874 | − | 11.4947i | −0.394314 | − | 0.847403i | ||||
\(185\) | 0.854536 | + | 1.48010i | 0.0628267 | + | 0.108819i | ||||
\(186\) | 0.0163635 | + | 13.9774i | 0.00119983 | + | 1.02487i | ||||
\(187\) | −7.05926 | − | 26.3455i | −0.516224 | − | 1.92657i | ||||
\(188\) | 2.70942 | − | 4.11462i | 0.197605 | − | 0.300090i | ||||
\(189\) | −20.5336 | − | 9.46711i | −1.49360 | − | 0.688631i | ||||
\(190\) | −0.993670 | + | 0.535435i | −0.0720884 | + | 0.0388446i | ||||
\(191\) | −6.96728 | + | 12.0677i | −0.504135 | + | 0.873187i | 0.495854 | + | 0.868406i | \(0.334855\pi\) |
−0.999989 | + | 0.00478132i | \(0.998478\pi\) | |||||||
\(192\) | −10.8676 | − | 8.59621i | −0.784303 | − | 0.620378i | ||||
\(193\) | −1.34094 | − | 2.32257i | −0.0965226 | − | 0.167182i | 0.813720 | − | 0.581256i | \(-0.197439\pi\) |
−0.910243 | + | 0.414074i | \(0.864105\pi\) | |||||||
\(194\) | 8.82284 | + | 5.44530i | 0.633443 | + | 0.390950i | ||||
\(195\) | −1.27643 | − | 2.06275i | −0.0914070 | − | 0.147716i | ||||
\(196\) | 10.7016 | + | 21.3374i | 0.764401 | + | 1.52410i | ||||
\(197\) | −14.2363 | + | 14.2363i | −1.01430 | + | 1.01430i | −0.0144009 | + | 0.999896i | \(0.504584\pi\) |
−0.999896 | + | 0.0144009i | \(0.995416\pi\) | |||||||
\(198\) | −11.8427 | + | 12.6184i | −0.841623 | + | 0.896749i | ||||
\(199\) | 7.90078 | 0.560072 | 0.280036 | − | 0.959990i | \(-0.409654\pi\) | ||||
0.280036 | + | 0.959990i | \(0.409654\pi\) | |||||||
\(200\) | −7.08975 | + | 10.1077i | −0.501321 | + | 0.714726i | ||||
\(201\) | −9.84299 | + | 10.4631i | −0.694271 | + | 0.738012i | ||||
\(202\) | 19.9826 | − | 4.73025i | 1.40597 | − | 0.332819i | ||||
\(203\) | 4.65201 | − | 17.3615i | 0.326507 | − | 1.21854i | ||||
\(204\) | −12.1427 | + | 19.7261i | −0.850162 | + | 1.38110i | ||||
\(205\) | 0.562559 | + | 2.09950i | 0.0392908 | + | 0.146635i | ||||
\(206\) | 18.5219 | − | 9.98044i | 1.29048 | − | 0.695370i | ||||
\(207\) | 12.0343 | + | 6.00048i | 0.836442 | + | 0.417062i | ||||
\(208\) | 6.53091 | + | 2.60275i | 0.452837 | + | 0.180468i | ||||
\(209\) | −3.53830 | − | 2.04284i | −0.244749 | − | 0.141306i | ||||
\(210\) | 2.20781 | + | 8.20126i | 0.152354 | + | 0.565940i | ||||
\(211\) | −3.53982 | + | 13.2108i | −0.243691 | + | 0.909469i | 0.730345 | + | 0.683078i | \(0.239359\pi\) |
−0.974037 | + | 0.226391i | \(0.927307\pi\) | |||||||
\(212\) | 3.55754 | − | 3.16249i | 0.244333 | − | 0.217201i | ||||
\(213\) | 6.60145 | − | 12.2855i | 0.452324 | − | 0.841789i | ||||
\(214\) | −0.141845 | + | 0.133751i | −0.00969631 | + | 0.00914305i | ||||
\(215\) | − | 7.09799i | − | 0.484079i | ||||||
\(216\) | 14.6968 | − | 0.0516173i | 0.999994 | − | 0.00351211i | ||||
\(217\) | 24.8307i | 1.68562i | ||||||||
\(218\) | 12.0835 | + | 12.8147i | 0.818399 | + | 0.867922i | ||||
\(219\) | −7.97802 | + | 14.8473i | −0.539105 | + | 1.00329i | ||||
\(220\) | 6.48909 | + | 0.381468i | 0.437494 | + | 0.0257186i | ||||
\(221\) | 3.04186 | − | 11.3524i | 0.204618 | − | 0.763643i | ||||
\(222\) | 5.07320 | − | 1.36573i | 0.340491 | − | 0.0916617i | ||||
\(223\) | 24.3372 | + | 14.0511i | 1.62974 | + | 0.940931i | 0.984169 | + | 0.177230i | \(0.0567136\pi\) |
0.645570 | + | 0.763701i | \(0.276620\pi\) | |||||||
\(224\) | −19.2883 | − | 15.2936i | −1.28875 | − | 1.02185i | ||||
\(225\) | −0.799096 | − | 13.0708i | −0.0532731 | − | 0.871388i | ||||
\(226\) | 5.59312 | + | 10.3798i | 0.372049 | + | 0.690454i | ||||
\(227\) | 0.131295 | + | 0.489998i | 0.00871433 | + | 0.0325223i | 0.970146 | − | 0.242521i | \(-0.0779744\pi\) |
−0.961432 | + | 0.275044i | \(0.911308\pi\) | |||||||
\(228\) | 0.803244 | + | 3.37561i | 0.0531961 | + | 0.223555i | ||||
\(229\) | 3.91690 | − | 14.6181i | 0.258836 | − | 0.965988i | −0.707080 | − | 0.707133i | \(-0.749988\pi\) |
0.965916 | − | 0.258855i | \(-0.0833452\pi\) | |||||||
\(230\) | −1.16355 | − | 4.91531i | −0.0767219 | − | 0.324106i | ||||
\(231\) | −21.0646 | + | 22.3917i | −1.38595 | + | 1.47326i | ||||
\(232\) | 2.01939 | + | 11.5071i | 0.132580 | + | 0.755479i | ||||
\(233\) | −15.4968 | −1.01523 | −0.507614 | − | 0.861584i | \(-0.669473\pi\) | ||||
−0.507614 | + | 0.861584i | \(0.669473\pi\) | |||||||
\(234\) | −7.13803 | + | 2.15732i | −0.466627 | + | 0.141028i | ||||
\(235\) | 1.38791 | − | 1.38791i | 0.0905371 | − | 0.0905371i | ||||
\(236\) | 0.655709 | − | 1.97524i | 0.0426830 | − | 0.128577i | ||||
\(237\) | −12.6114 | − | 20.3805i | −0.819202 | − | 1.32385i | ||||
\(238\) | −21.6124 | + | 35.0178i | −1.40092 | + | 2.26987i | ||||
\(239\) | 7.61709 | + | 13.1932i | 0.492709 | + | 0.853397i | 0.999965 | − | 0.00839869i | \(-0.00267342\pi\) |
−0.507256 | + | 0.861796i | \(0.669340\pi\) | |||||||
\(240\) | −3.55005 | − | 4.22770i | −0.229155 | − | 0.272897i | ||||
\(241\) | −9.10697 | + | 15.7737i | −0.586632 | + | 1.01608i | 0.408038 | + | 0.912965i | \(0.366213\pi\) |
−0.994670 | + | 0.103111i | \(0.967120\pi\) | |||||||
\(242\) | 3.78182 | + | 7.01837i | 0.243105 | + | 0.451158i | ||||
\(243\) | −12.1578 | + | 9.75637i | −0.779926 | + | 0.625871i | ||||
\(244\) | 0.824359 | + | 4.00330i | 0.0527742 | + | 0.256285i | ||||
\(245\) | 2.46146 | + | 9.18628i | 0.157257 | + | 0.586890i | ||||
\(246\) | 6.68169 | − | 0.00782230i | 0.426009 | − | 0.000498732i | ||||
\(247\) | −0.880265 | − | 1.52466i | −0.0560099 | − | 0.0970121i | ||||
\(248\) | −6.80908 | − | 14.6331i | −0.432377 | − | 0.929203i | ||||
\(249\) | −1.25364 | + | 5.32371i | −0.0794463 | + | 0.337376i | ||||
\(250\) | −7.67813 | + | 7.24002i | −0.485608 | + | 0.457899i | ||||
\(251\) | −2.18418 | − | 2.18418i | −0.137864 | − | 0.137864i | 0.634807 | − | 0.772671i | \(-0.281080\pi\) |
−0.772671 | + | 0.634807i | \(0.781080\pi\) | |||||||
\(252\) | 26.1088 | − | 0.0611316i | 1.64470 | − | 0.00385093i | ||||
\(253\) | 12.9283 | − | 12.9283i | 0.812796 | − | 0.812796i | ||||
\(254\) | −6.85356 | − | 0.201273i | −0.430030 | − | 0.0126290i | ||||
\(255\) | −6.32346 | + | 6.72185i | −0.395990 | + | 0.420939i | ||||
\(256\) | 15.5607 | + | 3.72352i | 0.972544 | + | 0.232720i | ||||
\(257\) | 16.6777 | − | 9.62887i | 1.04033 | − | 0.600633i | 0.120400 | − | 0.992725i | \(-0.461582\pi\) |
0.919926 | + | 0.392093i | \(0.128249\pi\) | |||||||
\(258\) | −21.0829 | − | 5.62270i | −1.31256 | − | 0.350054i | ||||
\(259\) | 9.01529 | − | 2.41564i | 0.560183 | − | 0.150101i | ||||
\(260\) | 2.33937 | + | 1.54044i | 0.145081 | + | 0.0955340i | ||||
\(261\) | −9.28058 | − | 8.21121i | −0.574453 | − | 0.508261i | ||||
\(262\) | 8.61429 | − | 28.7454i | 0.532193 | − | 1.77590i | ||||
\(263\) | −22.8254 | − | 13.1782i | −1.40747 | − | 0.812605i | −0.412329 | − | 0.911035i | \(-0.635285\pi\) |
−0.995144 | + | 0.0984300i | \(0.968618\pi\) | |||||||
\(264\) | 6.27341 | − | 18.9721i | 0.386102 | − | 1.16765i | ||||
\(265\) | 1.64235 | − | 0.948214i | 0.100889 | − | 0.0582483i | ||||
\(266\) | 1.41993 | + | 5.99837i | 0.0870614 | + | 0.367784i | ||||
\(267\) | −2.61083 | − | 1.40290i | −0.159781 | − | 0.0858559i | ||||
\(268\) | 5.22606 | − | 15.7428i | 0.319232 | − | 0.961647i | ||||
\(269\) | 0.605506 | + | 0.605506i | 0.0369184 | + | 0.0369184i | 0.725325 | − | 0.688407i | \(-0.241690\pi\) |
−0.688407 | + | 0.725325i | \(0.741690\pi\) | |||||||
\(270\) | 5.73920 | + | 1.16082i | 0.349276 | + | 0.0706451i | ||||
\(271\) | − | 19.1084i | − | 1.16075i | −0.814349 | − | 0.580376i | \(-0.802906\pi\) | ||
0.814349 | − | 0.580376i | \(-0.197094\pi\) | |||||||
\(272\) | 3.13391 | − | 26.5631i | 0.190021 | − | 1.61062i | ||||
\(273\) | −12.6851 | + | 3.81759i | −0.767735 | + | 0.231051i | ||||
\(274\) | 7.07298 | + | 4.36532i | 0.427295 | + | 0.263719i | ||||
\(275\) | −17.1980 | − | 4.60819i | −1.03708 | − | 0.277884i | ||||
\(276\) | −15.5215 | − | 0.437643i | −0.934282 | − | 0.0263430i | ||||
\(277\) | 6.82191 | − | 1.82792i | 0.409889 | − | 0.109829i | −0.0479819 | − | 0.998848i | \(-0.515279\pi\) |
0.457871 | + | 0.889019i | \(0.348612\pi\) | |||||||
\(278\) | −2.93102 | + | 9.78067i | −0.175791 | + | 0.586606i | ||||
\(279\) | 15.3200 | + | 7.63877i | 0.917183 | + | 0.457321i | ||||
\(280\) | −6.29781 | − | 7.51782i | −0.376366 | − | 0.449276i | ||||
\(281\) | 11.8490 | − | 20.5230i | 0.706849 | − | 1.22430i | −0.259171 | − | 0.965831i | \(-0.583449\pi\) |
0.966020 | − | 0.258467i | \(-0.0832174\pi\) | |||||||
\(282\) | −3.02301 | − | 5.22188i | −0.180018 | − | 0.310958i | ||||
\(283\) | 0.727099 | + | 0.194826i | 0.0432215 | + | 0.0115812i | 0.280365 | − | 0.959893i | \(-0.409544\pi\) |
−0.237143 | + | 0.971475i | \(0.576211\pi\) | |||||||
\(284\) | −0.945079 | + | 16.0766i | −0.0560801 | + | 0.953971i | ||||
\(285\) | 0.0421989 | + | 1.38178i | 0.00249965 | + | 0.0818498i | ||||
\(286\) | −0.297620 | + | 10.1343i | −0.0175986 | + | 0.599252i | ||||
\(287\) | 11.8699 | 0.700659 | ||||||||
\(288\) | −15.3696 | + | 7.19560i | −0.905660 | + | 0.424005i | ||||
\(289\) | −27.7137 | −1.63022 | ||||||||
\(290\) | −0.136636 | + | 4.65261i | −0.00802356 | + | 0.273211i | ||||
\(291\) | 10.7979 | − | 6.68175i | 0.632985 | − | 0.391691i | ||||
\(292\) | 1.14215 | − | 19.4290i | 0.0668394 | − | 1.13699i | ||||
\(293\) | 19.8198 | + | 5.31070i | 1.15789 | + | 0.310255i | 0.786121 | − | 0.618072i | \(-0.212086\pi\) |
0.371765 | + | 0.928327i | \(0.378753\pi\) | |||||||
\(294\) | 29.2355 | − | 0.0342262i | 1.70505 | − | 0.00199611i | ||||
\(295\) | 0.414592 | − | 0.718095i | 0.0241385 | − | 0.0418091i | ||||
\(296\) | −4.65044 | + | 3.89576i | −0.270301 | + | 0.226436i | ||||
\(297\) | 7.33500 | + | 19.8848i | 0.425620 | + | 1.15384i | ||||
\(298\) | −1.82617 | + | 6.09384i | −0.105787 | + | 0.353007i | ||||
\(299\) | 7.60993 | − | 2.03907i | 0.440093 | − | 0.117923i | ||||
\(300\) | 7.18844 | + | 13.3031i | 0.415025 | + | 0.768056i | ||||
\(301\) | −37.4417 | − | 10.0325i | −2.15810 | − | 0.578262i | ||||
\(302\) | −10.1933 | − | 6.29111i | −0.586557 | − | 0.362013i | ||||
\(303\) | 5.76469 | − | 24.4803i | 0.331173 | − | 1.40636i | ||||
\(304\) | −2.48166 | − | 3.14556i | −0.142333 | − | 0.180410i | ||||
\(305\) | 1.62842i | 0.0932432i | ||||||||
\(306\) | 14.9565 | + | 24.1071i | 0.855007 | + | 1.37811i | ||||
\(307\) | −15.3450 | − | 15.3450i | −0.875783 | − | 0.875783i | 0.117312 | − | 0.993095i | \(-0.462572\pi\) |
−0.993095 | + | 0.117312i | \(0.962572\pi\) | |||||||
\(308\) | 11.1841 | − | 33.6906i | 0.637271 | − | 1.91970i | ||||
\(309\) | −0.786581 | − | 25.7563i | −0.0447470 | − | 1.46522i | ||||
\(310\) | −1.48122 | − | 6.25732i | −0.0841279 | − | 0.355392i | ||||
\(311\) | 0.576605 | − | 0.332903i | 0.0326963 | − | 0.0188772i | −0.483563 | − | 0.875310i | \(-0.660658\pi\) |
0.516259 | + | 0.856432i | \(0.327324\pi\) | |||||||
\(312\) | 6.42865 | − | 5.72827i | 0.363950 | − | 0.324299i | ||||
\(313\) | −14.3283 | − | 8.27244i | −0.809882 | − | 0.467586i | 0.0370327 | − | 0.999314i | \(-0.488209\pi\) |
−0.846915 | + | 0.531728i | \(0.821543\pi\) | |||||||
\(314\) | −6.87202 | + | 22.9316i | −0.387811 | + | 1.29410i | ||||
\(315\) | 10.1932 | + | 2.07411i | 0.574320 | + | 0.116863i | ||||
\(316\) | 23.1136 | + | 15.2199i | 1.30024 | + | 0.856189i | ||||
\(317\) | −6.56570 | + | 1.75927i | −0.368767 | + | 0.0988107i | −0.438443 | − | 0.898759i | \(-0.644470\pi\) |
0.0696766 | + | 0.997570i | \(0.477803\pi\) | |||||||
\(318\) | −1.51545 | − | 5.62935i | −0.0849820 | − | 0.315678i | ||||
\(319\) | −14.5909 | + | 8.42404i | −0.816931 | + | 0.471656i | ||||
\(320\) | 5.77294 | + | 2.70338i | 0.322717 | + | 0.151123i | ||||
\(321\) | 0.0688113 | + | 0.228646i | 0.00384067 | + | 0.0127618i | ||||
\(322\) | −27.5727 | − | 0.809745i | −1.53656 | − | 0.0451253i | ||||
\(323\) | −4.73616 | + | 4.73616i | −0.263527 | + | 0.263527i | ||||
\(324\) | 7.99425 | − | 16.1274i | 0.444125 | − | 0.895965i | ||||
\(325\) | −5.42499 | − | 5.42499i | −0.300924 | − | 0.300924i | ||||
\(326\) | −19.9326 | + | 18.7952i | −1.10396 | + | 1.04097i | ||||
\(327\) | 20.6566 | − | 6.21664i | 1.14231 | − | 0.343781i | ||||
\(328\) | −6.99513 | + | 3.25498i | −0.386241 | + | 0.179726i | ||||
\(329\) | −5.35946 | − | 9.28286i | −0.295477 | − | 0.511781i | ||||
\(330\) | 3.97253 | − | 6.89926i | 0.218680 | − | 0.379792i | ||||
\(331\) | −2.51757 | − | 9.39568i | −0.138378 | − | 0.516434i | −0.999961 | − | 0.00881711i | \(-0.997193\pi\) |
0.861583 | − | 0.507616i | \(-0.169473\pi\) | |||||||
\(332\) | −1.27375 | − | 6.18565i | −0.0699059 | − | 0.339481i | ||||
\(333\) | 1.28302 | − | 6.30538i | 0.0703090 | − | 0.345532i | ||||
\(334\) | −5.51427 | − | 10.2335i | −0.301728 | − | 0.559951i | ||||
\(335\) | 3.30434 | − | 5.72328i | 0.180535 | − | 0.312696i | ||||
\(336\) | −27.3187 | + | 12.7509i | −1.49036 | + | 0.695618i | ||||
\(337\) | 13.5580 | + | 23.4832i | 0.738553 | + | 1.27921i | 0.953147 | + | 0.302509i | \(0.0978241\pi\) |
−0.214593 | + | 0.976704i | \(0.568843\pi\) | |||||||
\(338\) | 7.36130 | − | 11.9273i | 0.400402 | − | 0.648758i | ||||
\(339\) | 14.4340 | − | 0.440806i | 0.783948 | − | 0.0239413i | ||||
\(340\) | 3.35739 | − | 10.1137i | 0.182080 | − | 0.548493i | ||||
\(341\) | 16.4581 | − | 16.4581i | 0.891254 | − | 0.891254i | ||||
\(342\) | 4.13769 | + | 0.969243i | 0.223740 | + | 0.0524106i | ||||
\(343\) | 21.4761 | 1.15960 | ||||||||
\(344\) | 24.8161 | − | 4.35499i | 1.33799 | − | 0.234805i | ||||
\(345\) | −6.02166 | − | 1.41800i | −0.324195 | − | 0.0763425i | ||||
\(346\) | −3.17510 | − | 13.4130i | −0.170694 | − | 0.721085i | ||||
\(347\) | −8.08347 | + | 30.1679i | −0.433944 | + | 1.61950i | 0.309638 | + | 0.950854i | \(0.399792\pi\) |
−0.743582 | + | 0.668645i | \(0.766875\pi\) | |||||||
\(348\) | 13.7112 | + | 4.09142i | 0.734999 | + | 0.219323i | ||||
\(349\) | 8.48634 | + | 31.6714i | 0.454263 | + | 1.69533i | 0.690245 | + | 0.723576i | \(0.257503\pi\) |
−0.235982 | + | 0.971757i | \(0.575831\pi\) | |||||||
\(350\) | 12.7425 | + | 23.6477i | 0.681114 | + | 1.26402i | ||||
\(351\) | −1.54700 | + | 9.00083i | −0.0825726 | + | 0.480429i | ||||
\(352\) | 2.64771 | + | 22.9213i | 0.141123 | + | 1.22171i | ||||
\(353\) | −3.48989 | − | 2.01489i | −0.185748 | − | 0.107242i | 0.404243 | − | 0.914652i | \(-0.367535\pi\) |
−0.589990 | + | 0.807410i | \(0.700869\pi\) | |||||||
\(354\) | −1.80451 | − | 1.80029i | −0.0959086 | − | 0.0956843i | ||||
\(355\) | −1.66062 | + | 6.19752i | −0.0881366 | + | 0.328930i | ||||
\(356\) | 3.41649 | + | 0.200842i | 0.181074 | + | 0.0106446i | ||||
\(357\) | 26.5198 | + | 42.8569i | 1.40358 | + | 2.26823i | ||||
\(358\) | −3.56588 | − | 3.78166i | −0.188463 | − | 0.199867i | ||||
\(359\) | 14.8043i | 0.781342i | 0.920530 | + | 0.390671i | \(0.127757\pi\) | ||||
−0.920530 | + | 0.390671i | \(0.872243\pi\) | |||||||
\(360\) | −6.57576 | + | 1.57287i | −0.346573 | + | 0.0828977i | ||||
\(361\) | − | 17.9967i | − | 0.947193i | ||||||
\(362\) | −10.0829 | + | 9.50757i | −0.529945 | + | 0.499707i | ||||
\(363\) | 9.75965 | − | 0.298054i | 0.512249 | − | 0.0156438i | ||||
\(364\) | 11.4323 | − | 10.1628i | 0.599215 | − | 0.532675i | ||||
\(365\) | 2.00690 | − | 7.48986i | 0.105046 | − | 0.392037i | ||||
\(366\) | 4.83684 | + | 1.28996i | 0.252826 | + | 0.0674273i | ||||
\(367\) | 2.66934 | + | 1.54114i | 0.139338 | + | 0.0804470i | 0.568049 | − | 0.822995i | \(-0.307699\pi\) |
−0.428710 | + | 0.903442i | \(0.641032\pi\) | |||||||
\(368\) | 16.4711 | − | 7.08380i | 0.858613 | − | 0.369269i | ||||
\(369\) | 3.65160 | − | 7.32348i | 0.190094 | − | 0.381245i | ||||
\(370\) | −2.12775 | + | 1.14653i | −0.110616 | + | 0.0596052i | ||||
\(371\) | −2.68045 | − | 10.0036i | −0.139162 | − | 0.519361i | ||||
\(372\) | −19.7592 | − | 0.557130i | −1.02447 | − | 0.0288859i | ||||
\(373\) | −7.57804 | + | 28.2816i | −0.392376 | + | 1.46437i | 0.433828 | + | 0.900996i | \(0.357163\pi\) |
−0.826204 | + | 0.563372i | \(0.809504\pi\) | |||||||
\(374\) | 37.5352 | − | 8.88528i | 1.94090 | − | 0.459447i | ||||
\(375\) | 3.72479 | + | 12.3767i | 0.192347 | + | 0.639131i | ||||
\(376\) | 5.70397 | + | 4.00086i | 0.294160 | + | 0.206329i | ||||
\(377\) | −7.25990 | −0.373904 | ||||||||
\(378\) | 14.2352 | − | 28.6333i | 0.732179 | − | 1.47274i | ||||
\(379\) | −13.0654 | + | 13.0654i | −0.671124 | + | 0.671124i | −0.957975 | − | 0.286851i | \(-0.907392\pi\) |
0.286851 | + | 0.957975i | \(0.407392\pi\) | |||||||
\(380\) | −0.715642 | − | 1.42688i | −0.0367117 | − | 0.0731976i | ||||
\(381\) | −3.97479 | + | 7.39721i | −0.203635 | + | 0.378970i | ||||
\(382\) | −16.7697 | − | 10.3500i | −0.858012 | − | 0.529550i | ||||
\(383\) | −1.66394 | − | 2.88203i | −0.0850235 | − | 0.147265i | 0.820378 | − | 0.571822i | \(-0.193763\pi\) |
−0.905401 | + | 0.424557i | \(0.860430\pi\) | |||||||
\(384\) | 12.6028 | − | 15.0057i | 0.643134 | − | 0.765754i | ||||
\(385\) | 7.07147 | − | 12.2481i | 0.360396 | − | 0.624223i | ||||
\(386\) | 3.33886 | − | 1.79913i | 0.169943 | − | 0.0915734i | ||||
\(387\) | −17.7082 | + | 20.0144i | −0.900157 | + | 1.01739i | ||||
\(388\) | −8.06378 | + | 12.2459i | −0.409376 | + | 0.621694i | ||||
\(389\) | −1.77451 | − | 6.62255i | −0.0899711 | − | 0.335777i | 0.906238 | − | 0.422768i | \(-0.138941\pi\) |
−0.996209 | + | 0.0869912i | \(0.972275\pi\) | |||||||
\(390\) | 2.96890 | − | 1.71873i | 0.150336 | − | 0.0870314i | ||||
\(391\) | −14.9867 | − | 25.9577i | −0.757908 | − | 1.31274i | ||||
\(392\) | −30.6070 | + | 14.2420i | −1.54588 | + | 0.719332i | ||||
\(393\) | −26.7693 | − | 25.1827i | −1.35033 | − | 1.27030i | ||||
\(394\) | −19.5335 | − | 20.7156i | −0.984085 | − | 1.04363i | ||||
\(395\) | 7.79645 | + | 7.79645i | 0.392282 | + | 0.392282i | ||||
\(396\) | −17.3457 | − | 17.2647i | −0.871657 | − | 0.867584i | ||||
\(397\) | 2.33820 | − | 2.33820i | 0.117351 | − | 0.117351i | −0.645993 | − | 0.763344i | \(-0.723556\pi\) |
0.763344 | + | 0.645993i | \(0.223556\pi\) | |||||||
\(398\) | −0.327995 | + | 11.1686i | −0.0164409 | + | 0.559830i | ||||
\(399\) | 7.34851 | + | 1.73045i | 0.367886 | + | 0.0866307i | ||||
\(400\) | −13.9940 | − | 10.4417i | −0.699702 | − | 0.522086i | ||||
\(401\) | 3.32787 | − | 1.92135i | 0.166186 | − | 0.0959474i | −0.414600 | − | 0.910004i | \(-0.636079\pi\) |
0.580786 | + | 0.814056i | \(0.302745\pi\) | |||||||
\(402\) | −14.3821 | − | 14.3485i | −0.717314 | − | 0.715636i | ||||
\(403\) | 9.68764 | − | 2.59579i | 0.482575 | − | 0.129306i | ||||
\(404\) | 5.85714 | + | 28.4438i | 0.291404 | + | 1.41513i | ||||
\(405\) | 4.41545 | − | 5.65090i | 0.219405 | − | 0.280795i | ||||
\(406\) | 24.3492 | + | 7.29686i | 1.20843 | + | 0.362137i | ||||
\(407\) | −7.57656 | − | 4.37433i | −0.375556 | − | 0.216828i | ||||
\(408\) | −27.3808 | − | 17.9839i | −1.35555 | − | 0.890337i | ||||
\(409\) | −4.36888 | + | 2.52237i | −0.216027 | + | 0.124723i | −0.604109 | − | 0.796901i | \(-0.706471\pi\) |
0.388082 | + | 0.921625i | \(0.373138\pi\) | |||||||
\(410\) | −2.99121 | + | 0.708076i | −0.147725 | + | 0.0349694i | ||||
\(411\) | 8.65634 | − | 5.35654i | 0.426986 | − | 0.264219i | ||||
\(412\) | 13.3395 | + | 26.5969i | 0.657189 | + | 1.31034i | ||||
\(413\) | −3.20193 | − | 3.20193i | −0.157557 | − | 0.157557i | ||||
\(414\) | −8.98190 | + | 16.7626i | −0.441436 | + | 0.823839i | ||||
\(415\) | − | 2.51613i | − | 0.123512i | ||||||
\(416\) | −3.95038 | + | 9.12407i | −0.193683 | + | 0.447344i | ||||
\(417\) | 9.10827 | + | 8.56844i | 0.446034 | + | 0.419598i | ||||
\(418\) | 3.03465 | − | 4.91694i | 0.148430 | − | 0.240495i | ||||
\(419\) | 21.3504 | + | 5.72083i | 1.04304 | + | 0.279481i | 0.739371 | − | 0.673298i | \(-0.235123\pi\) |
0.303665 | + | 0.952779i | \(0.401790\pi\) | |||||||
\(420\) | −11.6850 | + | 2.78051i | −0.570169 | + | 0.135675i | ||||
\(421\) | −7.95298 | + | 2.13099i | −0.387604 | + | 0.103858i | −0.447358 | − | 0.894355i | \(-0.647635\pi\) |
0.0597538 | + | 0.998213i | \(0.480968\pi\) | |||||||
\(422\) | −18.5279 | − | 5.55234i | −0.901923 | − | 0.270284i | ||||
\(423\) | −7.37608 | + | 0.450943i | −0.358637 | + | 0.0219256i | ||||
\(424\) | 4.32283 | + | 5.16024i | 0.209935 | + | 0.250603i | ||||
\(425\) | −14.5943 | + | 25.2780i | −0.707926 | + | 1.22616i | ||||
\(426\) | 17.0928 | + | 9.84186i | 0.828148 | + | 0.476840i | ||||
\(427\) | 8.58988 | + | 2.30165i | 0.415693 | + | 0.111385i | ||||
\(428\) | −0.183183 | − | 0.206065i | −0.00885447 | − | 0.00996053i | ||||
\(429\) | 10.9382 | + | 5.87747i | 0.528099 | + | 0.283767i | ||||
\(430\) | 10.0338 | + | 0.294668i | 0.483870 | + | 0.0142101i | ||||
\(431\) | 1.08094 | 0.0520671 | 0.0260336 | − | 0.999661i | \(-0.491712\pi\) | ||||
0.0260336 | + | 0.999661i | \(0.491712\pi\) | |||||||
\(432\) | −0.537162 | + | 20.7777i | −0.0258442 | + | 0.999666i | ||||
\(433\) | −15.5307 | −0.746359 | −0.373179 | − | 0.927759i | \(-0.621732\pi\) | ||||
−0.373179 | + | 0.927759i | \(0.621732\pi\) | |||||||
\(434\) | −35.1007 | − | 1.03083i | −1.68489 | − | 0.0494812i | ||||
\(435\) | 5.02167 | + | 2.69833i | 0.240771 | + | 0.129375i | ||||
\(436\) | −18.6166 | + | 16.5493i | −0.891572 | + | 0.792568i | ||||
\(437\) | −4.33690 | − | 1.16207i | −0.207462 | − | 0.0555893i | ||||
\(438\) | −20.6571 | − | 11.8941i | −0.987033 | − | 0.568324i | ||||
\(439\) | −2.26321 | + | 3.91999i | −0.108017 | + | 0.187091i | −0.914967 | − | 0.403529i | \(-0.867783\pi\) |
0.806950 | + | 0.590620i | \(0.201117\pi\) | |||||||
\(440\) | −0.808634 | + | 9.15717i | −0.0385501 | + | 0.436551i | ||||
\(441\) | 15.9774 | − | 32.0437i | 0.760831 | − | 1.52589i | ||||
\(442\) | 15.9215 | + | 4.77127i | 0.757308 | + | 0.226946i | ||||
\(443\) | −25.4883 | + | 6.82958i | −1.21099 | + | 0.324483i | −0.807149 | − | 0.590347i | \(-0.798991\pi\) |
−0.403838 | + | 0.914830i | \(0.632324\pi\) | |||||||
\(444\) | 1.71999 | + | 7.22820i | 0.0816271 | + | 0.343035i | ||||
\(445\) | 1.31706 | + | 0.352904i | 0.0624345 | + | 0.0167293i | ||||
\(446\) | −20.8730 | + | 33.8199i | −0.988366 | + | 1.60142i | ||||
\(447\) | 5.67490 | + | 5.33856i | 0.268414 | + | 0.252505i | ||||
\(448\) | 22.4198 | − | 26.6311i | 1.05924 | − | 1.25820i | ||||
\(449\) | 5.94688i | 0.280650i | 0.990105 | + | 0.140325i | \(0.0448148\pi\) | ||||
−0.990105 | + | 0.140325i | \(0.955185\pi\) | |||||||
\(450\) | 18.5101 | − | 0.586980i | 0.872577 | − | 0.0276705i | ||||
\(451\) | −7.86752 | − | 7.86752i | −0.370467 | − | 0.370467i | ||||
\(452\) | −14.9051 | + | 7.47555i | −0.701078 | + | 0.351620i | ||||
\(453\) | −12.4751 | + | 7.71961i | −0.586133 | + | 0.362699i | ||||
\(454\) | −0.698114 | + | 0.165257i | −0.0327641 | + | 0.00775588i | ||||
\(455\) | 5.27777 | − | 3.04712i | 0.247426 | − | 0.142851i | ||||
\(456\) | −4.80512 | + | 0.995333i | −0.225020 | + | 0.0466107i | ||||
\(457\) | 18.2318 | + | 10.5261i | 0.852846 | + | 0.492391i | 0.861610 | − | 0.507571i | \(-0.169456\pi\) |
−0.00876413 | + | 0.999962i | \(0.502790\pi\) | |||||||
\(458\) | 20.5015 | + | 6.14380i | 0.957974 | + | 0.287081i | ||||
\(459\) | 34.6002 | − | 3.17791i | 1.61500 | − | 0.148332i | ||||
\(460\) | 6.99660 | − | 1.44074i | 0.326218 | − | 0.0671747i | ||||
\(461\) | 38.2603 | − | 10.2518i | 1.78196 | − | 0.477475i | 0.791021 | − | 0.611788i | \(-0.209550\pi\) |
0.990939 | + | 0.134314i | \(0.0428829\pi\) | |||||||
\(462\) | −30.7785 | − | 30.7065i | −1.43195 | − | 1.42860i | ||||
\(463\) | −9.98020 | + | 5.76207i | −0.463819 | + | 0.267786i | −0.713649 | − | 0.700504i | \(-0.752959\pi\) |
0.249829 | + | 0.968290i | \(0.419625\pi\) | |||||||
\(464\) | −16.3503 | + | 2.37691i | −0.759045 | + | 0.110345i | ||||
\(465\) | −7.66573 | − | 1.80515i | −0.355490 | − | 0.0837118i | ||||
\(466\) | 0.643338 | − | 21.9063i | 0.0298020 | − | 1.01479i | ||||
\(467\) | 25.1476 | − | 25.1476i | 1.16369 | − | 1.16369i | 0.180032 | − | 0.983661i | \(-0.442380\pi\) |
0.983661 | − | 0.180032i | \(-0.0576202\pi\) | |||||||
\(468\) | −2.75326 | − | 10.1799i | −0.127269 | − | 0.470566i | ||||
\(469\) | −25.5197 | − | 25.5197i | −1.17839 | − | 1.17839i | ||||
\(470\) | 1.90433 | + | 2.01957i | 0.0878403 | + | 0.0931558i | ||||
\(471\) | 21.3551 | + | 20.0894i | 0.983990 | + | 0.925671i | ||||
\(472\) | 2.76499 | + | 1.00891i | 0.127269 | + | 0.0464390i | ||||
\(473\) | 18.1672 | + | 31.4664i | 0.835327 | + | 1.44683i | ||||
\(474\) | 29.3335 | − | 16.9815i | 1.34733 | − | 0.779987i | ||||
\(475\) | 1.13164 | + | 4.22335i | 0.0519233 | + | 0.193780i | ||||
\(476\) | −48.6041 | − | 32.0051i | −2.22776 | − | 1.46695i | ||||
\(477\) | −6.99660 | − | 1.42367i | −0.320352 | − | 0.0651853i | ||||
\(478\) | −18.9662 | + | 10.2199i | −0.867493 | + | 0.467445i | ||||
\(479\) | −2.64784 | + | 4.58619i | −0.120983 | + | 0.209548i | −0.920155 | − | 0.391553i | \(-0.871938\pi\) |
0.799173 | + | 0.601101i | \(0.205271\pi\) | |||||||
\(480\) | 6.12367 | − | 4.84286i | 0.279506 | − | 0.221045i | ||||
\(481\) | −1.88491 | − | 3.26477i | −0.0859447 | − | 0.148861i | ||||
\(482\) | −21.9198 | − | 13.5285i | −0.998417 | − | 0.616206i | ||||
\(483\) | −15.9911 | + | 29.7598i | −0.727618 | + | 1.35412i | ||||
\(484\) | −10.0782 | + | 5.05464i | −0.458100 | + | 0.229756i | ||||
\(485\) | −4.13069 | + | 4.13069i | −0.187565 | + | 0.187565i | ||||
\(486\) | −13.2869 | − | 17.5914i | −0.602707 | − | 0.797963i | ||||
\(487\) | 1.85543 | 0.0840775 | 0.0420387 | − | 0.999116i | \(-0.486615\pi\) | ||||
0.0420387 | + | 0.999116i | \(0.486615\pi\) | |||||||
\(488\) | −5.69331 | + | 0.999123i | −0.257724 | + | 0.0452282i | ||||
\(489\) | 9.66962 | + | 32.1302i | 0.437275 | + | 1.45298i | ||||
\(490\) | −13.0880 | + | 3.09816i | −0.591253 | + | 0.139961i | ||||
\(491\) | −0.936497 | + | 3.49505i | −0.0422635 | + | 0.157730i | −0.983833 | − | 0.179090i | \(-0.942685\pi\) |
0.941569 | + | 0.336820i | \(0.109351\pi\) | |||||||
\(492\) | −0.266328 | + | 9.44558i | −0.0120070 | + | 0.425840i | ||||
\(493\) | 7.14866 | + | 26.6792i | 0.321960 | + | 1.20157i | ||||
\(494\) | 2.19182 | − | 1.18105i | 0.0986144 | − | 0.0531380i | ||||
\(495\) | −5.38141 | − | 8.13090i | −0.241877 | − | 0.365457i | ||||
\(496\) | 20.9681 | − | 9.01786i | 0.941495 | − | 0.404914i | ||||
\(497\) | 30.3446 | + | 17.5194i | 1.36114 | + | 0.785854i | ||||
\(498\) | −7.47357 | − | 1.99316i | −0.334899 | − | 0.0893158i | ||||
\(499\) | 3.22216 | − | 12.0253i | 0.144244 | − | 0.538325i | −0.855544 | − | 0.517730i | \(-0.826777\pi\) |
0.999788 | − | 0.0205953i | \(-0.00655616\pi\) | |||||||
\(500\) | −9.91577 | − | 11.1544i | −0.443447 | − | 0.498840i | ||||
\(501\) | −14.2305 | + | 0.434592i | −0.635774 | + | 0.0194162i | ||||
\(502\) | 3.17824 | − | 2.99689i | 0.141852 | − | 0.133758i | ||||
\(503\) | − | 16.6233i | − | 0.741198i | −0.928793 | − | 0.370599i | \(-0.879152\pi\) | ||
0.928793 | − | 0.370599i | \(-0.120848\pi\) | |||||||
\(504\) | −0.997471 | + | 36.9100i | −0.0444309 | + | 1.64410i | ||||
\(505\) | 11.5701i | 0.514862i | ||||||||
\(506\) | 17.7388 | + | 18.8122i | 0.788586 | + | 0.836305i | ||||
\(507\) | −9.03281 | − | 14.5973i | −0.401161 | − | 0.648288i | ||||
\(508\) | 0.569041 | − | 9.67986i | 0.0252471 | − | 0.429474i | ||||
\(509\) | 4.04848 | − | 15.1091i | 0.179446 | − | 0.669700i | −0.816306 | − | 0.577620i | \(-0.803982\pi\) |
0.995752 | − | 0.0920802i | \(-0.0293516\pi\) | |||||||
\(510\) | −9.23953 | − | 9.21792i | −0.409133 | − | 0.408176i | ||||
\(511\) | −36.6722 | − | 21.1727i | −1.62228 | − | 0.936624i | ||||
\(512\) | −5.90958 | + | 21.8421i | −0.261169 | + | 0.965293i | ||||
\(513\) | 3.32830 | − | 4.00153i | 0.146948 | − | 0.176672i | ||||
\(514\) | 12.9191 | + | 23.9754i | 0.569835 | + | 1.05751i | ||||
\(515\) | 3.06819 | + | 11.4506i | 0.135200 | + | 0.504575i | ||||
\(516\) | 8.82351 | − | 29.5694i | 0.388433 | − | 1.30172i | ||||
\(517\) | −2.60048 | + | 9.70511i | −0.114369 | + | 0.426830i | ||||
\(518\) | 3.04050 | + | 12.8443i | 0.133592 | + | 0.564348i | ||||
\(519\) | −16.4320 | − | 3.86945i | −0.721285 | − | 0.169850i | ||||
\(520\) | −2.27469 | + | 3.24299i | −0.0997517 | + | 0.142215i | ||||
\(521\) | 40.4461 | 1.77198 | 0.885988 | − | 0.463709i | \(-0.153482\pi\) | ||||
0.885988 | + | 0.463709i | \(0.153482\pi\) | |||||||
\(522\) | 11.9927 | − | 12.7782i | 0.524905 | − | 0.559286i | ||||
\(523\) | 7.69126 | − | 7.69126i | 0.336315 | − | 0.336315i | −0.518663 | − | 0.854979i | \(-0.673570\pi\) |
0.854979 | + | 0.518663i | \(0.173570\pi\) | |||||||
\(524\) | 40.2771 | + | 13.3705i | 1.75951 | + | 0.584095i | ||||
\(525\) | 32.8842 | − | 1.00426i | 1.43518 | − | 0.0438296i | ||||
\(526\) | 19.5764 | − | 31.7190i | 0.853571 | − | 1.38301i | ||||
\(527\) | −19.0784 | − | 33.0448i | −0.831069 | − | 1.43945i | ||||
\(528\) | 26.5586 | + | 9.65574i | 1.15582 | + | 0.420212i | ||||
\(529\) | −1.45387 | + | 2.51818i | −0.0632119 | + | 0.109486i | ||||
\(530\) | 1.27222 | + | 2.36100i | 0.0552616 | + | 0.102555i | ||||
\(531\) | −2.96055 | + | 0.990498i | −0.128477 | + | 0.0429840i | ||||
\(532\) | −8.53827 | + | 1.75820i | −0.370181 | + | 0.0762275i | ||||
\(533\) | −1.24088 | − | 4.63102i | −0.0537484 | − | 0.200592i | ||||
\(534\) | 2.09153 | − | 3.63245i | 0.0905093 | − | 0.157191i | ||||
\(535\) | −0.0549239 | − | 0.0951309i | −0.00237457 | − | 0.00411287i | ||||
\(536\) | 22.0372 | + | 8.04113i | 0.951861 | + | 0.347324i | ||||
\(537\) | −6.09583 | + | 1.83455i | −0.263054 | + | 0.0791666i | ||||
\(538\) | −0.881083 | + | 0.830809i | −0.0379862 | + | 0.0358187i | ||||
\(539\) | −34.4241 | − | 34.4241i | −1.48275 | − | 1.48275i | ||||
\(540\) | −1.87919 | + | 8.06476i | −0.0808676 | + | 0.347052i | ||||
\(541\) | −17.0176 | + | 17.0176i | −0.731643 | + | 0.731643i | −0.970945 | − | 0.239302i | \(-0.923081\pi\) |
0.239302 | + | 0.970945i | \(0.423081\pi\) | |||||||
\(542\) | 27.0117 | + | 0.793270i | 1.16025 | + | 0.0340739i | ||||
\(543\) | 4.89138 | + | 16.2531i | 0.209909 | + | 0.697486i | ||||
\(544\) | 37.4196 | + | 5.53285i | 1.60435 | + | 0.237219i | ||||
\(545\) | −8.59443 | + | 4.96200i | −0.368145 | + | 0.212549i | ||||
\(546\) | −4.86994 | − | 18.0901i | −0.208414 | − | 0.774187i | ||||
\(547\) | 21.5530 | − | 5.77510i | 0.921539 | − | 0.246926i | 0.233296 | − | 0.972406i | \(-0.425049\pi\) |
0.688243 | + | 0.725480i | \(0.258382\pi\) | |||||||
\(548\) | −6.46447 | + | 9.81718i | −0.276148 | + | 0.419369i | ||||
\(549\) | 4.06261 | − | 4.59170i | 0.173388 | − | 0.195969i | ||||
\(550\) | 7.22812 | − | 24.1199i | 0.308208 | − | 1.02847i | ||||
\(551\) | 3.58311 | + | 2.06871i | 0.152645 | + | 0.0881299i | ||||
\(552\) | 1.26301 | − | 21.9230i | 0.0537575 | − | 0.933106i | ||||
\(553\) | 52.1457 | − | 30.1064i | 2.21746 | − | 1.28025i | ||||
\(554\) | 2.30075 | + | 9.71936i | 0.0977497 | + | 0.412936i | ||||
\(555\) | 0.0903606 | + | 2.95882i | 0.00383559 | + | 0.125595i | ||||
\(556\) | −13.7043 | − | 4.54934i | −0.581193 | − | 0.192935i | ||||
\(557\) | 11.6516 | + | 11.6516i | 0.493695 | + | 0.493695i | 0.909468 | − | 0.415773i | \(-0.136489\pi\) |
−0.415773 | + | 0.909468i | \(0.636489\pi\) | |||||||
\(558\) | −11.4342 | + | 21.3393i | −0.484048 | + | 0.903364i | ||||
\(559\) | 15.6566i | 0.662203i | ||||||||
\(560\) | 10.8887 | − | 8.59052i | 0.460130 | − | 0.363016i | ||||
\(561\) | 10.8284 | − | 45.9837i | 0.457174 | − | 1.94143i | ||||
\(562\) | 28.5195 | + | 17.6017i | 1.20302 | + | 0.742484i | ||||
\(563\) | −4.88249 | − | 1.30826i | −0.205772 | − | 0.0551365i | 0.154460 | − | 0.987999i | \(-0.450636\pi\) |
−0.360233 | + | 0.932862i | \(0.617303\pi\) | |||||||
\(564\) | 7.50717 | − | 4.05656i | 0.316109 | − | 0.170812i | ||||
\(565\) | −6.41702 | + | 1.71944i | −0.269966 | + | 0.0723372i | ||||
\(566\) | −0.305591 | + | 1.01974i | −0.0128450 | + | 0.0428629i | ||||
\(567\) | −23.5674 | − | 31.2785i | −0.989737 | − | 1.31357i | ||||
\(568\) | −22.6867 | − | 2.00338i | −0.951913 | − | 0.0840598i | ||||
\(569\) | −2.79764 | + | 4.84565i | −0.117283 | + | 0.203140i | −0.918690 | − | 0.394979i | \(-0.870752\pi\) |
0.801407 | + | 0.598119i | \(0.204085\pi\) | |||||||
\(570\) | −1.95505 | + | 0.00228879i | −0.0818879 | + | 9.58668e-5i | ||||
\(571\) | 8.65808 | + | 2.31993i | 0.362329 | + | 0.0970859i | 0.435391 | − | 0.900242i | \(-0.356610\pi\) |
−0.0730613 | + | 0.997327i | \(0.523277\pi\) | |||||||
\(572\) | −14.3135 | − | 0.841433i | −0.598477 | − | 0.0351821i | ||||
\(573\) | −20.5237 | + | 12.7001i | −0.857392 | + | 0.530554i | ||||
\(574\) | −0.492770 | + | 16.7794i | −0.0205678 | + | 0.700357i | ||||
\(575\) | −19.5662 | −0.815966 | ||||||||
\(576\) | −9.53367 | − | 22.0252i | −0.397236 | − | 0.917716i | ||||
\(577\) | 16.6893 | 0.694785 | 0.347393 | − | 0.937720i | \(-0.387067\pi\) | ||||
0.347393 | + | 0.937720i | \(0.387067\pi\) | |||||||
\(578\) | 1.15052 | − | 39.1763i | 0.0478551 | − | 1.62952i | ||||
\(579\) | −0.141794 | − | 4.64297i | −0.00589274 | − | 0.192955i | ||||
\(580\) | −6.57127 | − | 0.386299i | −0.272857 | − | 0.0160402i | ||||
\(581\) | −13.2725 | − | 3.55636i | −0.550637 | − | 0.147543i | ||||
\(582\) | 8.99709 | + | 15.5414i | 0.372941 | + | 0.644210i | ||||
\(583\) | −4.85387 | + | 8.40714i | −0.201027 | + | 0.348188i | ||||
\(584\) | 27.4175 | + | 2.42113i | 1.13454 | + | 0.100187i | ||||
\(585\) | −0.256384 | − | 4.19367i | −0.0106002 | − | 0.173387i | ||||
\(586\) | −8.33004 | + | 27.7969i | −0.344111 | + | 1.14828i | ||||
\(587\) | 5.02128 | − | 1.34545i | 0.207250 | − | 0.0555325i | −0.153700 | − | 0.988118i | \(-0.549119\pi\) |
0.360950 | + | 0.932585i | \(0.382452\pi\) | |||||||
\(588\) | −1.16531 | + | 41.3289i | −0.0480565 | + | 1.70437i | ||||
\(589\) | −5.52099 | − | 1.47934i | −0.227488 | − | 0.0609553i | ||||
\(590\) | 0.997891 | + | 0.615881i | 0.0410825 | + | 0.0253554i | ||||
\(591\) | −33.3923 | + | 10.0495i | −1.37358 | + | 0.413380i | ||||
\(592\) | −5.31400 | − | 6.73561i | −0.218404 | − | 0.276832i | ||||
\(593\) | − | 44.7927i | − | 1.83942i | −0.392602 | − | 0.919708i | \(-0.628425\pi\) | ||
0.392602 | − | 0.919708i | \(-0.371575\pi\) | |||||||
\(594\) | −28.4138 | + | 9.54328i | −1.16583 | + | 0.391566i | ||||
\(595\) | −16.3947 | − | 16.3947i | −0.672116 | − | 0.672116i | ||||
\(596\) | −8.53846 | − | 2.83446i | −0.349749 | − | 0.116104i | ||||
\(597\) | 12.0545 | + | 6.47733i | 0.493358 | + | 0.265100i | ||||
\(598\) | 2.56652 | + | 10.8421i | 0.104953 | + | 0.443365i | ||||
\(599\) | −27.1165 | + | 15.6557i | −1.10795 | + | 0.639674i | −0.938297 | − | 0.345830i | \(-0.887597\pi\) |
−0.169651 | + | 0.985504i | \(0.554264\pi\) | |||||||
\(600\) | −19.1038 | + | 9.60935i | −0.779908 | + | 0.392300i | ||||
\(601\) | −15.4248 | − | 8.90549i | −0.629189 | − | 0.363262i | 0.151249 | − | 0.988496i | \(-0.451670\pi\) |
−0.780438 | + | 0.625233i | \(0.785004\pi\) | |||||||
\(602\) | 15.7363 | − | 52.5112i | 0.641364 | − | 2.14020i | ||||
\(603\) | −23.5958 | + | 7.89436i | −0.960897 | + | 0.321483i | ||||
\(604\) | 9.31630 | − | 14.1481i | 0.379075 | − | 0.575677i | ||||
\(605\) | −4.33891 | + | 1.16261i | −0.176402 | + | 0.0472667i | ||||
\(606\) | 34.3662 | + | 9.16528i | 1.39603 | + | 0.372314i | ||||
\(607\) | −29.3159 | + | 16.9255i | −1.18989 | + | 0.686986i | −0.958283 | − | 0.285823i | \(-0.907733\pi\) |
−0.231612 | + | 0.972808i | \(0.574400\pi\) | |||||||
\(608\) | 4.54961 | − | 3.37751i | 0.184511 | − | 0.136976i | ||||
\(609\) | 21.3313 | − | 22.6753i | 0.864389 | − | 0.918848i | ||||
\(610\) | −2.30195 | − | 0.0676027i | −0.0932030 | − | 0.00273715i | ||||
\(611\) | −3.06141 | + | 3.06141i | −0.123852 | + | 0.123852i | ||||
\(612\) | −34.6987 | + | 20.1418i | −1.40261 | + | 0.814184i | ||||
\(613\) | −11.3734 | − | 11.3734i | −0.459367 | − | 0.459367i | 0.439081 | − | 0.898448i | \(-0.355304\pi\) |
−0.898448 | + | 0.439081i | \(0.855304\pi\) | |||||||
\(614\) | 22.3287 | − | 21.0547i | 0.901115 | − | 0.849697i | ||||
\(615\) | −0.862923 | + | 3.66448i | −0.0347964 | + | 0.147766i | ||||
\(616\) | 47.1608 | + | 17.2085i | 1.90016 | + | 0.693349i | ||||
\(617\) | −18.0269 | − | 31.2236i | −0.725738 | − | 1.25701i | −0.958670 | − | 0.284521i | \(-0.908165\pi\) |
0.232932 | − | 0.972493i | \(-0.425168\pi\) | |||||||
\(618\) | 36.4418 | − | 0.0426627i | 1.46590 | − | 0.00171615i | ||||
\(619\) | −4.29280 | − | 16.0209i | −0.172542 | − | 0.643936i | −0.996957 | − | 0.0779503i | \(-0.975162\pi\) |
0.824415 | − | 0.565986i | \(-0.191504\pi\) | |||||||
\(620\) | 8.90686 | − | 1.83410i | 0.357708 | − | 0.0736591i | ||||
\(621\) | 13.4418 | + | 19.0213i | 0.539400 | + | 0.763298i | ||||
\(622\) | 0.446656 | + | 0.828912i | 0.0179093 | + | 0.0332363i | ||||
\(623\) | 3.72312 | − | 6.44863i | 0.149163 | − | 0.258359i | ||||
\(624\) | 7.83063 | + | 9.32537i | 0.313476 | + | 0.373313i | ||||
\(625\) | 7.93964 | + | 13.7519i | 0.317585 | + | 0.550074i | ||||
\(626\) | 12.2888 | − | 19.9111i | 0.491158 | − | 0.795807i | ||||
\(627\) | −3.72372 | − | 6.01764i | −0.148711 | − | 0.240322i | ||||
\(628\) | −32.1309 | − | 10.6663i | −1.28216 | − | 0.425632i | ||||
\(629\) | −10.1416 | + | 10.1416i | −0.404371 | + | 0.404371i | ||||
\(630\) | −3.35513 | + | 14.3230i | −0.133671 | + | 0.570642i | ||||
\(631\) | 24.4330 | 0.972664 | 0.486332 | − | 0.873774i | \(-0.338335\pi\) | ||||
0.486332 | + | 0.873774i | \(0.338335\pi\) | |||||||
\(632\) | −22.4745 | + | 32.0416i | −0.893988 | + | 1.27455i | ||||
\(633\) | −16.2315 | + | 17.2541i | −0.645144 | + | 0.685790i | ||||
\(634\) | −2.21435 | − | 9.35434i | −0.0879430 | − | 0.371508i | ||||
\(635\) | 0.999874 | − | 3.73158i | 0.0396788 | − | 0.148083i | ||||
\(636\) | 8.02059 | − | 1.90854i | 0.318037 | − | 0.0756786i | ||||
\(637\) | −5.42943 | − | 20.2629i | −0.215122 | − | 0.802845i | ||||
\(638\) | −11.3025 | − | 20.9754i | −0.447471 | − | 0.830425i | ||||
\(639\) | 20.1441 | − | 13.3323i | 0.796890 | − | 0.527420i | ||||
\(640\) | −4.06117 | + | 8.04843i | −0.160532 | + | 0.318142i | ||||
\(641\) | −40.0952 | − | 23.1490i | −1.58366 | − | 0.914329i | −0.994318 | − | 0.106448i | \(-0.966052\pi\) |
−0.589346 | − | 0.807881i | \(-0.700615\pi\) | |||||||
\(642\) | −0.326072 | + | 0.0877799i | −0.0128690 | + | 0.00346440i | ||||
\(643\) | −2.83678 | + | 10.5870i | −0.111872 | + | 0.417511i | −0.999034 | − | 0.0439466i | \(-0.986007\pi\) |
0.887162 | + | 0.461458i | \(0.152674\pi\) | |||||||
\(644\) | 2.28932 | − | 38.9432i | 0.0902117 | − | 1.53458i | ||||
\(645\) | 5.81918 | − | 10.8297i | 0.229130 | − | 0.426418i | ||||
\(646\) | −6.49844 | − | 6.89168i | −0.255678 | − | 0.271149i | ||||
\(647\) | − | 10.0479i | − | 0.395025i | −0.980300 | − | 0.197512i | \(-0.936714\pi\) | ||
0.980300 | − | 0.197512i | \(-0.0632863\pi\) | |||||||
\(648\) | 22.4658 | + | 11.9702i | 0.882541 | + | 0.470235i | ||||
\(649\) | 4.24456i | 0.166614i | ||||||||
\(650\) | 7.89401 | − | 7.44358i | 0.309628 | − | 0.291961i | ||||
\(651\) | −20.3570 | + | 37.8851i | −0.797855 | + | 1.48483i | ||||
\(652\) | −25.7415 | − | 28.9570i | −1.00811 | − | 1.13404i | ||||
\(653\) | −6.85777 | + | 25.5935i | −0.268365 | + | 1.00155i | 0.691793 | + | 0.722096i | \(0.256821\pi\) |
−0.960158 | + | 0.279457i | \(0.909846\pi\) | |||||||
\(654\) | 7.93032 | + | 29.4584i | 0.310100 | + | 1.15191i | ||||
\(655\) | 14.6427 | + | 8.45394i | 0.572136 | + | 0.330323i | ||||
\(656\) | −4.31085 | − | 10.0235i | −0.168310 | − | 0.391351i | ||||
\(657\) | −24.3447 | + | 16.1125i | −0.949778 | + | 0.628608i | ||||
\(658\) | 13.3448 | − | 7.19079i | 0.520234 | − | 0.280326i | ||||
\(659\) | 1.81196 | + | 6.76233i | 0.0705840 | + | 0.263423i | 0.992196 | − | 0.124690i | \(-0.0397936\pi\) |
−0.921612 | + | 0.388113i | \(0.873127\pi\) | |||||||
\(660\) | 9.58790 | + | 5.90200i | 0.373209 | + | 0.229735i | ||||
\(661\) | −5.40993 | + | 20.1902i | −0.210422 | + | 0.785306i | 0.777306 | + | 0.629123i | \(0.216586\pi\) |
−0.987728 | + | 0.156183i | \(0.950081\pi\) | |||||||
\(662\) | 13.3863 | − | 3.16879i | 0.520273 | − | 0.123158i | ||||
\(663\) | 13.9481 | − | 14.8269i | 0.541701 | − | 0.575830i | ||||
\(664\) | 8.79693 | − | 1.54378i | 0.341387 | − | 0.0599103i | ||||
\(665\) | −3.47311 | −0.134681 | ||||||||
\(666\) | 8.86004 | + | 2.07544i | 0.343320 | + | 0.0804218i | ||||
\(667\) | −13.0920 | + | 13.0920i | −0.506926 | + | 0.506926i | ||||
\(668\) | 14.6950 | − | 7.37017i | 0.568567 | − | 0.285160i | ||||
\(669\) | 25.6126 | + | 41.3907i | 0.990240 | + | 1.60026i | ||||
\(670\) | 7.95328 | + | 4.90862i | 0.307262 | + | 0.189637i | ||||
\(671\) | −4.16791 | − | 7.21904i | −0.160901 | − | 0.278688i | ||||
\(672\) | −16.8906 | − | 39.1472i | −0.651568 | − | 1.51014i | ||||
\(673\) | 3.86200 | − | 6.68918i | 0.148869 | − | 0.257849i | −0.781941 | − | 0.623353i | \(-0.785770\pi\) |
0.930810 | + | 0.365504i | \(0.119103\pi\) | |||||||
\(674\) | −33.7588 | + | 18.1908i | −1.30034 | + | 0.700684i | ||||
\(675\) | 9.49670 | − | 20.5978i | 0.365528 | − | 0.792808i | ||||
\(676\) | 16.5548 | + | 10.9011i | 0.636724 | + | 0.419274i | ||||
\(677\) | 2.04220 | + | 7.62160i | 0.0784882 | + | 0.292922i | 0.994002 | − | 0.109366i | \(-0.0348819\pi\) |
−0.915513 | + | 0.402287i | \(0.868215\pi\) | |||||||
\(678\) | 0.0239085 | + | 20.4223i | 0.000918201 | + | 0.784313i | ||||
\(679\) | 15.9508 | + | 27.6277i | 0.612137 | + | 1.06025i | ||||
\(680\) | 14.1574 | + | 5.16588i | 0.542912 | + | 0.198103i | ||||
\(681\) | −0.201396 | + | 0.855248i | −0.00771752 | + | 0.0327732i | ||||
\(682\) | 22.5820 | + | 23.9484i | 0.864708 | + | 0.917033i | ||||
\(683\) | 23.0318 | + | 23.0318i | 0.881288 | + | 0.881288i | 0.993666 | − | 0.112378i | \(-0.0358467\pi\) |
−0.112378 | + | 0.993666i | \(0.535847\pi\) | |||||||
\(684\) | −1.54190 | + | 5.80881i | −0.0589560 | + | 0.222106i | ||||
\(685\) | −3.31144 | + | 3.31144i | −0.126524 | + | 0.126524i | ||||
\(686\) | −0.891563 | + | 30.3587i | −0.0340400 | + | 1.15910i | ||||
\(687\) | 17.9605 | − | 19.0921i | 0.685237 | − | 0.728409i | ||||
\(688\) | 5.12601 | + | 35.2609i | 0.195427 | + | 1.34431i | ||||
\(689\) | −3.62267 | + | 2.09155i | −0.138013 | + | 0.0796816i | ||||
\(690\) | 2.25447 | − | 8.45338i | 0.0858263 | − | 0.321815i | ||||
\(691\) | 24.8749 | − | 6.66520i | 0.946285 | − | 0.253556i | 0.247500 | − | 0.968888i | \(-0.420391\pi\) |
0.698785 | + | 0.715332i | \(0.253724\pi\) | |||||||
\(692\) | 19.0924 | − | 3.93151i | 0.725785 | − | 0.149453i | ||||
\(693\) | −50.4964 | + | 16.8944i | −1.91820 | + | 0.641764i | ||||
\(694\) | −42.3099 | − | 12.6792i | −1.60606 | − | 0.481297i | ||||
\(695\) | −4.98218 | − | 2.87646i | −0.188985 | − | 0.109111i | ||||
\(696\) | −6.35286 | + | 19.2124i | −0.240805 | + | 0.728244i | ||||
\(697\) | −15.7965 | + | 9.12014i | −0.598337 | + | 0.345450i | ||||
\(698\) | −45.1232 | + | 10.6815i | −1.70794 | + | 0.404301i | ||||
\(699\) | −23.6440 | − | 12.7048i | −0.894299 | − | 0.480540i | ||||
\(700\) | −33.9575 | + | 17.0311i | −1.28347 | + | 0.643715i | ||||
\(701\) | −35.0396 | − | 35.0396i | −1.32343 | − | 1.32343i | −0.910983 | − | 0.412443i | \(-0.864675\pi\) |
−0.412443 | − | 0.910983i | \(-0.635325\pi\) | |||||||
\(702\) | −12.6594 | − | 2.56050i | −0.477798 | − | 0.0966400i | ||||
\(703\) | 2.14843i | 0.0810295i | ||||||||
\(704\) | −32.5115 | + | 2.79125i | −1.22532 | + | 0.105199i | ||||
\(705\) | 3.25543 | − | 0.979727i | 0.122607 | − | 0.0368987i | ||||
\(706\) | 2.99313 | − | 4.84967i | 0.112648 | − | 0.182520i | ||||
\(707\) | 61.0318 | + | 16.3534i | 2.29534 | + | 0.615034i | ||||
\(708\) | 2.61981 | − | 2.47612i | 0.0984584 | − | 0.0930584i | ||||
\(709\) | 45.5722 | − | 12.2110i | 1.71150 | − | 0.458595i | 0.735710 | − | 0.677297i | \(-0.236849\pi\) |
0.975792 | + | 0.218702i | \(0.0701821\pi\) | |||||||
\(710\) | −8.69190 | − | 2.60474i | −0.326201 | − | 0.0977543i | ||||
\(711\) | −2.53314 | − | 41.4345i | −0.0950000 | − | 1.55392i | ||||
\(712\) | −0.425744 | + | 4.82123i | −0.0159554 | + | 0.180683i | ||||
\(713\) | 12.7890 | − | 22.1512i | 0.478951 | − | 0.829568i | ||||
\(714\) | −61.6836 | + | 35.7094i | −2.30845 | + | 1.33639i | ||||
\(715\) | −5.51784 | − | 1.47850i | −0.206356 | − | 0.0552928i | ||||
\(716\) | 5.49380 | − | 4.88375i | 0.205313 | − | 0.182514i | ||||
\(717\) | 0.805449 | + | 26.3741i | 0.0300801 | + | 0.984959i | ||||
\(718\) | −20.9274 | − | 0.614590i | −0.781005 | − | 0.0229363i | ||||
\(719\) | −26.0582 | −0.971806 | −0.485903 | − | 0.874013i | \(-0.661509\pi\) | ||||
−0.485903 | + | 0.874013i | \(0.661509\pi\) | |||||||
\(720\) | −1.95043 | − | 9.36081i | −0.0726883 | − | 0.348857i | ||||
\(721\) | 64.7383 | 2.41098 | ||||||||
\(722\) | 25.4402 | + | 0.747118i | 0.946785 | + | 0.0278049i | ||||
\(723\) | −26.8267 | + | 16.6004i | −0.997695 | + | 0.617374i | ||||
\(724\) | −13.0214 | − | 14.6479i | −0.483935 | − | 0.544386i | ||||
\(725\) | 17.4158 | + | 4.66655i | 0.646807 | + | 0.173311i | ||||
\(726\) | 0.0161659 | + | 13.8087i | 0.000599973 | + | 0.512487i | ||||
\(727\) | −4.96698 | + | 8.60307i | −0.184215 | + | 0.319070i | −0.943312 | − | 0.331908i | \(-0.892308\pi\) |
0.759097 | + | 0.650978i | \(0.225641\pi\) | |||||||
\(728\) | 13.8916 | + | 16.5826i | 0.514856 | + | 0.614593i | ||||
\(729\) | −26.5483 | + | 4.91824i | −0.983269 | + | 0.182157i | ||||
\(730\) | 10.5044 | + | 3.14790i | 0.388785 | + | 0.116509i | ||||
\(731\) | 57.5359 | − | 15.4167i | 2.12804 | − | 0.570207i | ||||
\(732\) | −2.02429 | + | 6.78383i | −0.0748199 | + | 0.250737i | ||||
\(733\) | −12.7081 | − | 3.40512i | −0.469384 | − | 0.125771i | 0.0163712 | − | 0.999866i | \(-0.494789\pi\) |
−0.485755 | + | 0.874095i | \(0.661455\pi\) | |||||||
\(734\) | −2.28938 | + | 3.70941i | −0.0845026 | + | 0.136917i | ||||
\(735\) | −3.77569 | + | 16.0338i | −0.139269 | + | 0.591417i | ||||
\(736\) | 9.32991 | + | 23.5776i | 0.343905 | + | 0.869083i | ||||
\(737\) | 33.8295i | 1.24613i | ||||||||
\(738\) | 10.2009 | + | 5.46594i | 0.375501 | + | 0.201204i | ||||
\(739\) | −32.6637 | − | 32.6637i | −1.20155 | − | 1.20155i | −0.973694 | − | 0.227861i | \(-0.926827\pi\) |
−0.227861 | − | 0.973694i | \(-0.573173\pi\) | |||||||
\(740\) | −1.53241 | − | 3.05539i | −0.0563324 | − | 0.112318i | ||||
\(741\) | −0.0930813 | − | 3.04791i | −0.00341943 | − | 0.111968i | ||||
\(742\) | 14.2524 | − | 3.37381i | 0.523222 | − | 0.123856i | ||||
\(743\) | −8.76936 | + | 5.06299i | −0.321717 | + | 0.185743i | −0.652157 | − | 0.758084i | \(-0.726136\pi\) |
0.330441 | + | 0.943827i | \(0.392803\pi\) | |||||||
\(744\) | 1.60785 | − | 27.9086i | 0.0589467 | − | 1.02318i | ||||
\(745\) | −3.10414 | − | 1.79218i | −0.113727 | − | 0.0656603i | ||||
\(746\) | −39.6644 | − | 11.8864i | −1.45222 | − | 0.435193i | ||||
\(747\) | −6.27728 | + | 7.09480i | −0.229674 | + | 0.259585i | ||||
\(748\) | 11.0020 | + | 53.4287i | 0.402274 | + | 1.95355i | ||||
\(749\) | −0.579443 | + | 0.155261i | −0.0211724 | + | 0.00567312i | ||||
\(750\) | −17.6504 | + | 4.75157i | −0.644502 | + | 0.173503i | ||||
\(751\) | 22.6187 | − | 13.0589i | 0.825368 | − | 0.476526i | −0.0268964 | − | 0.999638i | \(-0.508562\pi\) |
0.852264 | + | 0.523112i | \(0.175229\pi\) | |||||||
\(752\) | −5.89243 | + | 7.89706i | −0.214875 | + | 0.287976i | ||||
\(753\) | −1.54182 | − | 5.12315i | −0.0561870 | − | 0.186698i | ||||
\(754\) | 0.301389 | − | 10.2626i | 0.0109759 | − | 0.373742i | ||||
\(755\) | 4.77230 | − | 4.77230i | 0.173682 | − | 0.173682i | ||||
\(756\) | 39.8853 | + | 21.3116i | 1.45061 | + | 0.775096i | ||||
\(757\) | 2.39808 | + | 2.39808i | 0.0871596 | + | 0.0871596i | 0.749342 | − | 0.662183i | \(-0.230370\pi\) |
−0.662183 | + | 0.749342i | \(0.730370\pi\) | |||||||
\(758\) | −17.9269 | − | 19.0117i | −0.651134 | − | 0.690536i | ||||
\(759\) | 30.3243 | − | 9.12612i | 1.10070 | − | 0.331257i | ||||
\(760\) | 2.04676 | − | 0.952399i | 0.0742438 | − | 0.0345471i | ||||
\(761\) | 23.1857 | + | 40.1589i | 0.840482 | + | 1.45576i | 0.889488 | + | 0.456959i | \(0.151061\pi\) |
−0.0490055 | + | 0.998799i | \(0.515605\pi\) | |||||||
\(762\) | −10.2917 | − | 5.92587i | −0.372829 | − | 0.214672i | ||||
\(763\) | 14.0268 | + | 52.3487i | 0.507804 | + | 1.89515i | ||||
\(764\) | 15.3269 | − | 23.2760i | 0.554509 | − | 0.842098i | ||||
\(765\) | −15.1587 | + | 5.07159i | −0.548065 | + | 0.183364i | ||||
\(766\) | 4.14313 | − | 2.23251i | 0.149697 | − | 0.0806639i | ||||
\(767\) | −0.914499 | + | 1.58396i | −0.0330206 | + | 0.0571934i | ||||
\(768\) | 20.6889 | + | 18.4383i | 0.746545 | + | 0.665335i | ||||
\(769\) | −7.38255 | − | 12.7870i | −0.266222 | − | 0.461109i | 0.701661 | − | 0.712511i | \(-0.252442\pi\) |
−0.967883 | + | 0.251401i | \(0.919109\pi\) | |||||||
\(770\) | 17.0205 | + | 10.5047i | 0.613375 | + | 0.378564i | ||||
\(771\) | 33.3398 | − | 1.01818i | 1.20071 | − | 0.0366688i | ||||
\(772\) | 2.40465 | + | 4.79452i | 0.0865453 | + | 0.172558i | ||||
\(773\) | −22.1409 | + | 22.1409i | −0.796353 | + | 0.796353i | −0.982518 | − | 0.186165i | \(-0.940394\pi\) |
0.186165 | + | 0.982518i | \(0.440394\pi\) | |||||||
\(774\) | −27.5573 | − | 25.8632i | −0.990525 | − | 0.929634i | ||||
\(775\) | −24.9083 | −0.894731 | ||||||||
\(776\) | −16.9762 | − | 11.9074i | −0.609409 | − | 0.427450i | ||||
\(777\) | 15.7354 | + | 3.70541i | 0.564504 | + | 0.132931i | ||||
\(778\) | 9.43533 | − | 2.23352i | 0.338273 | − | 0.0800756i | ||||
\(779\) | −0.707177 | + | 2.63922i | −0.0253372 | + | 0.0945599i | ||||
\(780\) | 2.30636 | + | 4.26820i | 0.0825808 | + | 0.152826i | ||||
\(781\) | −8.50064 | − | 31.7248i | −0.304177 | − | 1.13520i | ||||
\(782\) | 37.3160 | − | 20.1076i | 1.33442 | − | 0.719046i | ||||
\(783\) | −7.42790 | − | 20.1367i | −0.265451 | − | 0.719626i | ||||
\(784\) | −18.8620 | − | 43.8574i | −0.673642 | − | 1.56633i | ||||
\(785\) | −11.6811 | − | 6.74410i | −0.416917 | − | 0.240707i | ||||
\(786\) | 36.7096 | − | 36.7957i | 1.30939 | − | 1.31246i | ||||
\(787\) | 1.12039 | − | 4.18136i | 0.0399377 | − | 0.149050i | −0.943078 | − | 0.332572i | \(-0.892083\pi\) |
0.983015 | + | 0.183523i | \(0.0587501\pi\) | |||||||
\(788\) | 30.0945 | − | 26.7527i | 1.07207 | − | 0.953025i | ||||
\(789\) | −24.0215 | − | 38.8195i | −0.855190 | − | 1.38201i | ||||
\(790\) | −11.3448 | + | 10.6974i | −0.403629 | + | 0.380598i | ||||
\(791\) | 36.2799i | 1.28996i | ||||||||
\(792\) | 25.1256 | − | 23.8033i | 0.892798 | − | 0.845813i | ||||
\(793\) | − | 3.59194i | − | 0.127553i | ||||||
\(794\) | 3.20822 | + | 3.40236i | 0.113856 | + | 0.120745i | ||||
\(795\) | 3.28318 | − | 0.100266i | 0.116442 | − | 0.00355608i | ||||
\(796\) | −15.7743 | − | 0.927310i | −0.559106 | − | 0.0328676i | ||||
\(797\) | 13.8032 | − | 51.5141i | 0.488933 | − | 1.82472i | −0.0727237 | − | 0.997352i | \(-0.523169\pi\) |
0.561657 | − | 0.827370i | \(-0.310164\pi\) | |||||||
\(798\) | −2.75124 | + | 10.3160i | −0.0973927 | + | 0.365184i | ||||
\(799\) | 14.2648 | + | 8.23579i | 0.504652 | + | 0.291361i | ||||
\(800\) | 15.3414 | − | 19.3485i | 0.542400 | − | 0.684074i | ||||
\(801\) | −2.83330 | − | 4.28090i | −0.100110 | − | 0.151258i | ||||
\(802\) | 2.57787 | + | 4.78405i | 0.0910277 | + | 0.168931i | ||||
\(803\) | 10.2732 | + | 38.3403i | 0.362535 | + | 1.35300i | ||||
\(804\) | 20.8801 | − | 19.7349i | 0.736384 | − | 0.695997i | ||||
\(805\) | 4.02261 | − | 15.0126i | 0.141778 | − | 0.529124i | ||||
\(806\) | 3.26725 | + | 13.8022i | 0.115084 | + | 0.486163i | ||||
\(807\) | 0.427428 | + | 1.42026i | 0.0150462 | + | 0.0499954i | ||||
\(808\) | −40.4514 | + | 7.09885i | −1.42308 | + | 0.249737i | ||||
\(809\) | −30.1140 | −1.05875 | −0.529375 | − | 0.848388i | \(-0.677574\pi\) | ||||
−0.529375 | + | 0.848388i | \(0.677574\pi\) | |||||||
\(810\) | 7.80483 | + | 6.47629i | 0.274234 | + | 0.227554i | ||||
\(811\) | 20.5672 | − | 20.5672i | 0.722214 | − | 0.722214i | −0.246842 | − | 0.969056i | \(-0.579393\pi\) |
0.969056 | + | 0.246842i | \(0.0793929\pi\) | |||||||
\(812\) | −11.3257 | + | 34.1173i | −0.397454 | + | 1.19728i | ||||
\(813\) | 15.6657 | − | 29.1544i | 0.549420 | − | 1.02249i | ||||
\(814\) | 6.49811 | − | 10.5287i | 0.227759 | − | 0.369030i | ||||
\(815\) | −7.71810 | − | 13.3681i | −0.270353 | − | 0.468265i | ||||
\(816\) | 26.5589 | − | 37.9590i | 0.929746 | − | 1.32883i | ||||
\(817\) | 4.46135 | − | 7.72728i | 0.156083 | − | 0.270343i | ||||
\(818\) | −3.38426 | − | 6.28057i | −0.118328 | − | 0.219595i | ||||
\(819\) | −22.4839 | − | 4.57502i | −0.785649 | − | 0.159864i | ||||
\(820\) | −0.876761 | − | 4.25779i | −0.0306178 | − | 0.148688i | ||||
\(821\) | 8.53541 | + | 31.8546i | 0.297888 | + | 1.11173i | 0.938897 | + | 0.344199i | \(0.111849\pi\) |
−0.641009 | + | 0.767533i | \(0.721484\pi\) | |||||||
\(822\) | 7.21267 | + | 12.4590i | 0.251571 | + | 0.434558i | ||||
\(823\) | 4.71220 | + | 8.16178i | 0.164257 | + | 0.284502i | 0.936391 | − | 0.350958i | \(-0.114144\pi\) |
−0.772134 | + | 0.635460i | \(0.780811\pi\) | |||||||
\(824\) | −38.1513 | + | 17.7526i | −1.32906 | + | 0.618440i | ||||
\(825\) | −22.4617 | − | 21.1304i | −0.782015 | − | 0.735666i | ||||
\(826\) | 4.65919 | − | 4.39334i | 0.162114 | − | 0.152864i | ||||
\(827\) | 38.7468 | + | 38.7468i | 1.34736 | + | 1.34736i | 0.888518 | + | 0.458841i | \(0.151735\pi\) |
0.458841 | + | 0.888518i | \(0.348265\pi\) | |||||||
\(828\) | −23.3229 | − | 13.3927i | −0.810525 | − | 0.465430i | ||||
\(829\) | 11.0569 | − | 11.0569i | 0.384021 | − | 0.384021i | −0.488528 | − | 0.872548i | \(-0.662466\pi\) |
0.872548 | + | 0.488528i | \(0.162466\pi\) | |||||||
\(830\) | 3.55682 | + | 0.104455i | 0.123459 | + | 0.00362570i | ||||
\(831\) | 11.9070 | + | 2.80390i | 0.413050 | + | 0.0972662i | ||||
\(832\) | −12.7338 | − | 5.96305i | −0.441466 | − | 0.206732i | ||||
\(833\) | −69.1173 | + | 39.9049i | −2.39477 | + | 1.38262i | ||||
\(834\) | −12.4905 | + | 12.5198i | −0.432511 | + | 0.433525i | ||||
\(835\) | 6.32656 | − | 1.69520i | 0.218940 | − | 0.0586647i | ||||
\(836\) | 6.82463 | + | 4.49392i | 0.236035 | + | 0.155425i | ||||
\(837\) | 17.1117 | + | 24.2146i | 0.591468 | + | 0.836979i | ||||
\(838\) | −8.97333 | + | 29.9435i | −0.309978 | + | 1.03438i | ||||
\(839\) | 25.3695 | + | 14.6471i | 0.875853 | + | 0.505674i | 0.869289 | − | 0.494305i | \(-0.164577\pi\) |
0.00656388 | + | 0.999978i | \(0.497911\pi\) | |||||||
\(840\) | −3.44544 | − | 16.6334i | −0.118879 | − | 0.573906i | ||||
\(841\) | −10.3391 | + | 5.96927i | −0.356520 | + | 0.205837i | ||||
\(842\) | −2.68222 | − | 11.3308i | −0.0924354 | − | 0.390486i | ||||
\(843\) | 34.9038 | − | 21.5985i | 1.20215 | − | 0.743892i | ||||
\(844\) | 8.61799 | − | 25.9606i | 0.296643 | − | 0.893601i | ||||
\(845\) | 5.58412 | + | 5.58412i | 0.192100 | + | 0.192100i | ||||
\(846\) | −0.331243 | − | 10.4456i | −0.0113884 | − | 0.359126i | ||||
\(847\) | 24.5309i | 0.842891i | ||||||||
\(848\) | −7.47399 | + | 5.89654i | −0.256658 | + | 0.202488i | ||||
\(849\) | 0.949637 | + | 0.893353i | 0.0325914 | + | 0.0306598i | ||||
\(850\) | −35.1272 | − | 21.6799i | −1.20485 | − | 0.743615i | ||||
\(851\) | −9.28662 | − | 2.48834i | −0.318341 | − | 0.0852992i | ||||
\(852\) | −14.6221 | + | 23.7539i | −0.500944 | + | 0.813793i | ||||
\(853\) | 40.6922 | − | 10.9035i | 1.39328 | − | 0.373327i | 0.517350 | − | 0.855774i | \(-0.326918\pi\) |
0.875925 | + | 0.482447i | \(0.160252\pi\) | |||||||
\(854\) | −3.61022 | + | 12.0471i | −0.123539 | + | 0.412244i | ||||
\(855\) | −1.06845 | + | 2.14283i | −0.0365402 | + | 0.0732834i | ||||
\(856\) | 0.298899 | − | 0.250393i | 0.0102162 | − | 0.00855826i | ||||
\(857\) | −14.2207 | + | 24.6310i | −0.485769 | + | 0.841377i | −0.999866 | − | 0.0163548i | \(-0.994794\pi\) |
0.514097 | + | 0.857732i | \(0.328127\pi\) | |||||||
\(858\) | −8.76251 | + | 15.2182i | −0.299147 | + | 0.519542i | ||||
\(859\) | 3.34555 | + | 0.896437i | 0.114149 | + | 0.0305860i | 0.315441 | − | 0.948945i | \(-0.397848\pi\) |
−0.201293 | + | 0.979531i | \(0.564514\pi\) | |||||||
\(860\) | −0.833087 | + | 14.1715i | −0.0284080 | + | 0.483245i | ||||
\(861\) | 18.1104 | + | 9.73136i | 0.617199 | + | 0.331644i | ||||
\(862\) | −0.0448745 | + | 1.52802i | −0.00152843 | + | 0.0520447i | ||||
\(863\) | 11.1356 | 0.379062 | 0.189531 | − | 0.981875i | \(-0.439303\pi\) | ||||
0.189531 | + | 0.981875i | \(0.439303\pi\) | |||||||
\(864\) | −29.3491 | − | 1.62190i | −0.998477 | − | 0.0551783i | ||||
\(865\) | 7.76622 | 0.264059 | ||||||||
\(866\) | 0.644746 | − | 21.9543i | 0.0219094 | − | 0.746037i | ||||
\(867\) | −42.2839 | − | 22.7207i | −1.43604 | − | 0.771635i | ||||
\(868\) | 2.91436 | − | 49.5757i | 0.0989198 | − | 1.68271i | ||||
\(869\) | −54.5177 | − | 14.6080i | −1.84939 | − | 0.495541i | ||||
\(870\) | −4.02284 | + | 6.98664i | −0.136387 | + | 0.236869i | ||||
\(871\) | −7.28863 | + | 12.6243i | −0.246966 | + | 0.427757i | ||||
\(872\) | −22.6213 | − | 27.0035i | −0.766055 | − | 0.914454i | ||||
\(873\) | 21.9527 | − | 1.34210i | 0.742986 | − | 0.0454231i | ||||
\(874\) | 1.82275 | − | 6.08242i | 0.0616554 | − | 0.205741i | ||||
\(875\) | −31.3655 | + | 8.40437i | −1.06035 | + | 0.284119i | ||||
\(876\) | 17.6712 | − | 28.7071i | 0.597053 | − | 0.969924i | ||||
\(877\) | −27.3387 | − | 7.32539i | −0.923163 | − | 0.247361i | −0.234226 | − | 0.972182i | \(-0.575256\pi\) |
−0.688937 | + | 0.724821i | \(0.741922\pi\) | |||||||
\(878\) | −5.44736 | − | 3.36202i | −0.183839 | − | 0.113463i | ||||
\(879\) | 25.8859 | + | 24.3517i | 0.873111 | + | 0.821362i | ||||
\(880\) | −12.9110 | − | 1.52324i | −0.435231 | − | 0.0513485i | ||||
\(881\) | 4.86363i | 0.163860i | 0.996638 | + | 0.0819299i | \(0.0261084\pi\) | ||||
−0.996638 | + | 0.0819299i | \(0.973892\pi\) | |||||||
\(882\) | 44.6337 | + | 23.9160i | 1.50290 | + | 0.805295i | ||||
\(883\) | 8.56478 | + | 8.56478i | 0.288228 | + | 0.288228i | 0.836379 | − | 0.548151i | \(-0.184668\pi\) |
−0.548151 | + | 0.836379i | \(0.684668\pi\) | |||||||
\(884\) | −7.40566 | + | 22.3086i | −0.249079 | + | 0.750319i | ||||
\(885\) | 1.22128 | − | 0.755727i | 0.0410528 | − | 0.0254035i | ||||
\(886\) | −8.59619 | − | 36.3139i | −0.288795 | − | 1.21999i | ||||
\(887\) | 3.99885 | − | 2.30874i | 0.134268 | − | 0.0775199i | −0.431361 | − | 0.902179i | \(-0.641967\pi\) |
0.565630 | + | 0.824659i | \(0.308633\pi\) | |||||||
\(888\) | −10.2892 | + | 2.13131i | −0.345283 | + | 0.0715221i | ||||
\(889\) | −18.2707 | − | 10.5486i | −0.612780 | − | 0.353789i | ||||
\(890\) | −0.553543 | + | 1.84715i | −0.0185548 | + | 0.0619165i | ||||
\(891\) | −5.11099 | + | 36.3525i | −0.171225 | + | 1.21785i | ||||
\(892\) | −46.9414 | − | 30.9102i | −1.57171 | − | 1.03495i | ||||
\(893\) | 2.38330 | − | 0.638605i | 0.0797543 | − | 0.0213701i | ||||
\(894\) | −7.78219 | + | 7.80044i | −0.260275 | + | 0.260886i | ||||
\(895\) | 2.53624 | − | 1.46430i | 0.0847772 | − | 0.0489461i | ||||
\(896\) | 36.7150 | + | 32.7983i | 1.22656 | + | 1.09572i | ||||
\(897\) | 13.2824 | + | 3.12779i | 0.443488 | + | 0.104434i | ||||
\(898\) | −8.40653 | − | 0.246880i | −0.280529 | − | 0.00823849i | ||||
\(899\) | −16.6665 | + | 16.6665i | −0.555859 | + | 0.555859i | ||||
\(900\) | 0.0613226 | + | 26.1904i | 0.00204409 | + | 0.873013i | ||||
\(901\) | 11.2533 | + | 11.2533i | 0.374903 | + | 0.374903i | ||||
\(902\) | 11.4482 | − | 10.7949i | 0.381183 | − | 0.359433i | ||||
\(903\) | −48.9012 | − | 46.0029i | −1.62733 | − | 1.53088i | ||||
\(904\) | −9.94869 | − | 21.3803i | −0.330888 | − | 0.711098i | ||||
\(905\) | −3.90421 | − | 6.76228i | −0.129780 | − | 0.224786i | ||||
\(906\) | −10.3946 | − | 17.9554i | −0.345337 | − | 0.596527i | ||||
\(907\) | −2.23987 | − | 8.35931i | −0.0743737 | − | 0.277566i | 0.918717 | − | 0.394917i | \(-0.129227\pi\) |
−0.993091 | + | 0.117350i | \(0.962560\pi\) | |||||||
\(908\) | −0.204626 | − | 0.993717i | −0.00679075 | − | 0.0329777i | ||||
\(909\) | 28.8652 | − | 32.6244i | 0.957398 | − | 1.08208i | ||||
\(910\) | 4.08832 | + | 7.58718i | 0.135527 | + | 0.251512i | ||||
\(911\) | 23.9969 | − | 41.5638i | 0.795052 | − | 1.37707i | −0.127755 | − | 0.991806i | \(-0.540777\pi\) |
0.922806 | − | 0.385264i | \(-0.125890\pi\) | |||||||
\(912\) | −1.20753 | − | 6.83385i | −0.0399852 | − | 0.226292i | ||||
\(913\) | 6.43999 | + | 11.1544i | 0.213133 | + | 0.369156i | ||||
\(914\) | −15.6366 | + | 25.3355i | −0.517214 | + | 0.838024i | ||||
\(915\) | −1.33504 | + | 2.48454i | −0.0441349 | + | 0.0821365i | ||||
\(916\) | −9.53600 | + | 28.7260i | −0.315078 | + | 0.949134i | ||||
\(917\) | 65.2905 | − | 65.2905i | 2.15608 | − | 2.15608i | ||||
\(918\) | 3.05591 | + | 49.0429i | 0.100860 | + | 1.61866i | ||||
\(919\) | 51.8939 | 1.71182 | 0.855910 | − | 0.517124i | \(-0.172997\pi\) | ||||
0.855910 | + | 0.517124i | \(0.172997\pi\) | |||||||
\(920\) | 1.74617 | + | 9.95024i | 0.0575697 | + | 0.328050i | ||||
\(921\) | −10.8320 | − | 35.9927i | −0.356928 | − | 1.18600i | ||||
\(922\) | 12.9037 | + | 54.5105i | 0.424960 | + | 1.79521i | ||||
\(923\) | 3.66296 | − | 13.6703i | 0.120568 | − | 0.449965i | ||||
\(924\) | 44.6846 | − | 42.2339i | 1.47002 | − | 1.38939i | ||||
\(925\) | 2.42319 | + | 9.04347i | 0.0796740 | + | 0.297347i | ||||
\(926\) | −7.73097 | − | 14.3473i | −0.254055 | − | 0.471480i | ||||
\(927\) | 19.9157 | − | 39.9421i | 0.654119 | − | 1.31187i | ||||
\(928\) | −2.68124 | − | 23.2116i | −0.0880160 | − | 0.761957i | ||||
\(929\) | 8.80130 | + | 5.08143i | 0.288761 | + | 0.166716i | 0.637383 | − | 0.770547i | \(-0.280017\pi\) |
−0.348622 | + | 0.937263i | \(0.613350\pi\) | |||||||
\(930\) | 2.87000 | − | 10.7614i | 0.0941111 | − | 0.352879i | ||||
\(931\) | −3.09423 | + | 11.5478i | −0.101409 | + | 0.378465i | ||||
\(932\) | 30.9402 | + | 1.81885i | 1.01348 | + | 0.0595784i | ||||
\(933\) | 1.15267 | − | 0.0352020i | 0.0377368 | − | 0.00115246i | ||||
\(934\) | 34.5048 | + | 36.5928i | 1.12903 | + | 1.19735i | ||||
\(935\) | 21.7332i | 0.710751i | ||||||||
\(936\) | 14.5047 | − | 3.46941i | 0.474099 | − | 0.113401i | ||||
\(937\) | − | 37.8157i | − | 1.23539i | −0.786420 | − | 0.617693i | \(-0.788068\pi\) | ||
0.786420 | − | 0.617693i | \(-0.211932\pi\) | |||||||
\(938\) | 37.1342 | − | 35.0153i | 1.21247 | − | 1.14329i | ||||
\(939\) | −15.0792 | − | 24.3684i | −0.492090 | − | 0.795232i | ||||
\(940\) | −2.93393 | + | 2.60813i | −0.0956942 | + | 0.0850679i | ||||
\(941\) | −9.21025 | + | 34.3731i | −0.300246 | + | 1.12053i | 0.636716 | + | 0.771099i | \(0.280293\pi\) |
−0.936961 | + | 0.349433i | \(0.886374\pi\) | |||||||
\(942\) | −29.2850 | + | 29.3536i | −0.954157 | + | 0.956393i | ||||
\(943\) | −10.5890 | − | 6.11357i | −0.344826 | − | 0.199085i | ||||
\(944\) | −1.54099 | + | 3.86671i | −0.0501550 | + | 0.125851i | ||||
\(945\) | 13.8517 | + | 11.5212i | 0.450595 | + | 0.374786i | ||||
\(946\) | −45.2353 | + | 24.3749i | −1.47073 | + | 0.792495i | ||||
\(947\) | −2.69018 | − | 10.0399i | −0.0874191 | − | 0.326253i | 0.908342 | − | 0.418228i | \(-0.137349\pi\) |
−0.995761 | + | 0.0919752i | \(0.970682\pi\) | |||||||
\(948\) | 22.7874 | + | 42.1709i | 0.740100 | + | 1.36965i | ||||
\(949\) | −4.42678 | + | 16.5210i | −0.143699 | + | 0.536293i | ||||
\(950\) | −6.01712 | + | 1.42437i | −0.195221 | + | 0.0462125i | ||||
\(951\) | −11.4598 | − | 2.69860i | −0.371611 | − | 0.0875080i | ||||
\(952\) | 47.2603 | − | 67.3783i | 1.53171 | − | 2.18374i | ||||
\(953\) | 24.6743 | 0.799280 | 0.399640 | − | 0.916672i | \(-0.369135\pi\) | ||||
0.399640 | + | 0.916672i | \(0.369135\pi\) | |||||||
\(954\) | 2.30296 | − | 9.83132i | 0.0745612 | − | 0.318301i | ||||
\(955\) | 7.85126 | − | 7.85126i | 0.254061 | − | 0.254061i | ||||
\(956\) | −13.6595 | − | 27.2349i | −0.441778 | − | 0.880841i | ||||
\(957\) | −29.1681 | + | 0.890777i | −0.942871 | + | 0.0287947i | ||||
\(958\) | −6.37313 | − | 3.93339i | −0.205907 | − | 0.127082i | ||||
\(959\) | 12.7873 | + | 22.1482i | 0.412922 | + | 0.715203i | ||||
\(960\) | 6.59167 | + | 8.85750i | 0.212745 | + | 0.285875i | ||||
\(961\) | 0.780708 | − | 1.35223i | 0.0251841 | − | 0.0436202i | ||||
\(962\) | 4.69334 | − | 2.52899i | 0.151319 | − | 0.0815379i | ||||
\(963\) | −0.0824639 | + | 0.405268i | −0.00265736 | + | 0.0130596i | ||||
\(964\) | 20.0339 | − | 30.4242i | 0.645249 | − | 0.979898i | ||||
\(965\) | 0.553089 | + | 2.06416i | 0.0178046 | + | 0.0664475i | ||||
\(966\) | −41.4048 | − | 23.8405i | −1.33218 | − | 0.767055i | ||||
\(967\) | 12.5371 | + | 21.7150i | 0.403167 | + | 0.698306i | 0.994106 | − | 0.108410i | \(-0.0345759\pi\) |
−0.590939 | + | 0.806716i | \(0.701243\pi\) | |||||||
\(968\) | −6.72687 | − | 14.4564i | −0.216210 | − | 0.464647i | ||||
\(969\) | −11.1090 | + | 3.34327i | −0.356873 | + | 0.107401i | ||||
\(970\) | −5.66768 | − | 6.01064i | −0.181978 | − | 0.192990i | ||||
\(971\) | −18.9203 | − | 18.9203i | −0.607180 | − | 0.607180i | 0.335028 | − | 0.942208i | \(-0.391254\pi\) |
−0.942208 | + | 0.335028i | \(0.891254\pi\) | |||||||
\(972\) | 25.4189 | − | 18.0522i | 0.815311 | − | 0.579023i | ||||
\(973\) | −22.2152 | + | 22.2152i | −0.712186 | + | 0.712186i | ||||
\(974\) | −0.0770267 | + | 2.62284i | −0.00246809 | + | 0.0840412i | ||||
\(975\) | −3.82952 | − | 12.7247i | −0.122643 | − | 0.407517i | ||||
\(976\) | −1.17601 | − | 8.08956i | −0.0376432 | − | 0.258941i | ||||
\(977\) | −12.1897 | + | 7.03771i | −0.389982 | + | 0.225156i | −0.682152 | − | 0.731210i | \(-0.738956\pi\) |
0.292170 | + | 0.956366i | \(0.405623\pi\) | |||||||
\(978\) | −45.8208 | + | 12.3352i | −1.46519 | + | 0.394435i | ||||
\(979\) | −6.74196 | + | 1.80650i | −0.215474 | + | 0.0577360i | ||||
\(980\) | −3.83624 | − | 18.6298i | −0.122544 | − | 0.595107i | ||||
\(981\) | 36.6132 | + | 7.45005i | 1.16897 | + | 0.237862i | ||||
\(982\) | −4.90175 | − | 1.46893i | −0.156421 | − | 0.0468755i | ||||
\(983\) | −0.562149 | − | 0.324557i | −0.0179298 | − | 0.0103518i | 0.491008 | − | 0.871155i | \(-0.336628\pi\) |
−0.508938 | + | 0.860803i | \(0.669962\pi\) | |||||||
\(984\) | −13.3413 | − | 0.768608i | −0.425304 | − | 0.0245023i | ||||
\(985\) | 13.8933 | − | 8.02129i | 0.442677 | − | 0.255579i | ||||
\(986\) | −38.0106 | + | 8.99781i | −1.21050 | + | 0.286549i | ||||
\(987\) | −0.566722 | − | 18.5571i | −0.0180390 | − | 0.590678i | ||||
\(988\) | 1.57855 | + | 3.14739i | 0.0502203 | + | 0.100132i | ||||
\(989\) | 28.2341 | + | 28.2341i | 0.897792 | + | 0.897792i | ||||
\(990\) | 11.7173 | − | 7.26964i | 0.372399 | − | 0.231044i | ||||
\(991\) | 36.5529i | 1.16114i | 0.814210 | + | 0.580571i | \(0.197171\pi\) | ||||
−0.814210 | + | 0.580571i | \(0.802829\pi\) | |||||||
\(992\) | 11.8772 | + | 30.0149i | 0.377102 | + | 0.952976i | ||||
\(993\) | 3.86176 | − | 16.3993i | 0.122549 | − | 0.520417i | ||||
\(994\) | −26.0253 | + | 42.1679i | −0.825472 | + | 1.33748i | ||||
\(995\) | −6.08100 | − | 1.62940i | −0.192781 | − | 0.0516554i | ||||
\(996\) | 3.12780 | − | 10.4819i | 0.0991082 | − | 0.332133i | ||||
\(997\) | 7.74395 | − | 2.07498i | 0.245253 | − | 0.0657154i | −0.134098 | − | 0.990968i | \(-0.542814\pi\) |
0.379352 | + | 0.925253i | \(0.376147\pi\) | |||||||
\(998\) | 16.8652 | + | 5.05408i | 0.533859 | + | 0.159984i | ||||
\(999\) | 7.12691 | − | 8.56848i | 0.225485 | − | 0.271095i |
(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 | 144.2.u.a.11.12 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.11 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.4 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.3 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.20 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.13 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.20 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.8 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.8 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.13 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.13 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.3 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.13 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.11 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.4 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.12 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.12 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.20 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.20 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.12 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.3 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.11 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.11 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.3 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.8 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.4 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.4 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.8 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.13 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.13 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.13 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.13 | 88 | 144.13 | even | 12 |