Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.12 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.12 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.750080 | − | 1.95402i | 0.530387 | − | 1.38170i | −0.362736 | − | 0.931892i | \(-0.618157\pi\) |
0.893123 | − | 0.449812i | \(-0.148509\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −1.76930 | − | 1.59309i | −0.884652 | − | 0.796544i | ||||
\(5\) | −2.73934 | − | 0.433869i | −1.22507 | − | 0.194032i | −0.489818 | − | 0.871825i | \(-0.662937\pi\) |
−0.735253 | + | 0.677792i | \(0.762937\pi\) | |||||||
\(6\) | 1.95402 | − | 0.750080i | 0.797727 | − | 0.306219i | ||||
\(7\) | 4.52723 | − | 0.237262i | 1.71113 | − | 0.0896767i | 0.828574 | − | 0.559879i | \(-0.189152\pi\) |
0.882559 | + | 0.470202i | \(0.155819\pi\) | |||||||
\(8\) | −0.710221 | + | 0.361876i | −0.251101 | + | 0.127942i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −2.90252 | + | 5.02731i | −0.917857 | + | 1.58977i | ||||
\(11\) | −0.781935 | − | 3.22313i | −0.235762 | − | 0.971811i | ||||
\(12\) | − | 2.38083i | − | 0.687287i | ||||||
\(13\) | 1.83383 | − | 3.10436i | 0.508613 | − | 0.860995i | ||||
\(14\) | 2.93217 | − | 9.02429i | 0.783655 | − | 2.41184i | ||||
\(15\) | −1.51055 | − | 2.32604i | −0.390022 | − | 0.600582i | ||||
\(16\) | −0.323338 | − | 3.07636i | −0.0808345 | − | 0.769089i | ||||
\(17\) | −0.470071 | − | 0.209289i | −0.114009 | − | 0.0507600i | 0.348940 | − | 0.937145i | \(-0.386542\pi\) |
−0.462948 | + | 0.886385i | \(0.653209\pi\) | |||||||
\(18\) | 1.86492 | + | 0.950222i | 0.439565 | + | 0.223969i | ||||
\(19\) | −1.36238 | + | 2.09788i | −0.312551 | + | 0.481286i | −0.959680 | − | 0.281094i | \(-0.909303\pi\) |
0.647129 | + | 0.762380i | \(0.275969\pi\) | |||||||
\(20\) | 4.15554 | + | 5.13166i | 0.929206 | + | 1.14747i | ||||
\(21\) | 3.20563 | + | 3.20563i | 0.699526 | + | 0.699526i | ||||
\(22\) | −6.88459 | − | 0.889685i | −1.46780 | − | 0.189681i | ||||
\(23\) | −1.45270 | − | 0.838718i | −0.302909 | − | 0.174885i | 0.340840 | − | 0.940121i | \(-0.389289\pi\) |
−0.643749 | + | 0.765237i | \(0.722622\pi\) | |||||||
\(24\) | −0.744157 | − | 0.285655i | −0.151900 | − | 0.0583091i | ||||
\(25\) | 2.56047 | + | 0.831948i | 0.512095 | + | 0.166390i | ||||
\(26\) | −4.69048 | − | 5.91187i | −0.919879 | − | 1.15941i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −8.38803 | − | 6.79249i | −1.58519 | − | 1.28366i | ||||
\(29\) | −1.72963 | + | 8.13725i | −0.321183 | + | 1.51105i | 0.460662 | + | 0.887576i | \(0.347612\pi\) |
−0.781845 | + | 0.623473i | \(0.785721\pi\) | |||||||
\(30\) | −5.67818 | + | 1.20693i | −1.03669 | + | 0.220355i | ||||
\(31\) | 0.0590845 | + | 0.373045i | 0.0106119 | + | 0.0670009i | 0.992426 | − | 0.122844i | \(-0.0392015\pi\) |
−0.981814 | + | 0.189845i | \(0.939201\pi\) | |||||||
\(32\) | −7.79368 | − | 2.08831i | −1.37774 | − | 0.369165i | ||||
\(33\) | 1.87204 | − | 2.73779i | 0.325880 | − | 0.476588i | ||||
\(34\) | −0.761546 | + | 0.761546i | −0.130604 | + | 0.130604i | ||||
\(35\) | −12.5046 | − | 1.31428i | −2.11366 | − | 0.222155i | ||||
\(36\) | 1.76930 | − | 1.59309i | 0.294884 | − | 0.265515i | ||||
\(37\) | 4.49381 | − | 2.91832i | 0.738778 | − | 0.479768i | −0.119576 | − | 0.992825i | \(-0.538154\pi\) |
0.858355 | + | 0.513057i | \(0.171487\pi\) | |||||||
\(38\) | 3.07742 | + | 4.23570i | 0.499223 | + | 0.687121i | ||||
\(39\) | 3.53406 | − | 0.714421i | 0.565903 | − | 0.114399i | ||||
\(40\) | 2.10255 | − | 0.683158i | 0.332442 | − | 0.108017i | ||||
\(41\) | 10.8512 | + | 0.568688i | 1.69467 | + | 0.0888141i | 0.875033 | − | 0.484063i | \(-0.160839\pi\) |
0.819641 | + | 0.572877i | \(0.194173\pi\) | |||||||
\(42\) | 8.66836 | − | 3.85940i | 1.33756 | − | 0.595519i | ||||
\(43\) | 5.32790 | + | 9.22819i | 0.812497 | + | 1.40729i | 0.911111 | + | 0.412160i | \(0.135226\pi\) |
−0.0986143 | + | 0.995126i | \(0.531441\pi\) | |||||||
\(44\) | −3.75125 | + | 6.94839i | −0.565522 | + | 1.04751i | ||||
\(45\) | 0.717832 | − | 2.67898i | 0.107008 | − | 0.399359i | ||||
\(46\) | −2.72852 | + | 2.20951i | −0.402298 | + | 0.325774i | ||||
\(47\) | 1.85567 | + | 3.64196i | 0.270678 | + | 0.531235i | 0.985833 | − | 0.167731i | \(-0.0536439\pi\) |
−0.715155 | + | 0.698966i | \(0.753644\pi\) | |||||||
\(48\) | 2.06982 | − | 2.29877i | 0.298753 | − | 0.331799i | ||||
\(49\) | 13.4779 | − | 1.41658i | 1.92541 | − | 0.202369i | ||||
\(50\) | 3.54621 | − | 4.37920i | 0.501509 | − | 0.619313i | ||||
\(51\) | −0.159007 | − | 0.489372i | −0.0222654 | − | 0.0685258i | ||||
\(52\) | −8.19013 | + | 2.57110i | −1.13577 | + | 0.356548i | ||||
\(53\) | −10.0173 | − | 7.27803i | −1.37599 | − | 0.999714i | −0.997242 | − | 0.0742137i | \(-0.976355\pi\) |
−0.378746 | − | 0.925501i | \(-0.623645\pi\) | |||||||
\(54\) | 0.541720 | + | 2.02173i | 0.0737187 | + | 0.275122i | ||||
\(55\) | 0.743571 | + | 9.16852i | 0.100263 | + | 1.23628i | ||||
\(56\) | −3.12948 | + | 1.80680i | −0.418194 | + | 0.241444i | ||||
\(57\) | −2.47064 | + | 0.391311i | −0.327244 | + | 0.0518303i | ||||
\(58\) | 14.6030 | + | 9.48332i | 1.91747 | + | 1.24522i | ||||
\(59\) | 0.435290 | + | 8.30582i | 0.0566699 | + | 1.08133i | 0.867945 | + | 0.496661i | \(0.165441\pi\) |
−0.811275 | + | 0.584665i | \(0.801226\pi\) | |||||||
\(60\) | −1.03297 | + | 6.52192i | −0.133356 | + | 0.841976i | ||||
\(61\) | 1.01040 | − | 2.26940i | 0.129369 | − | 0.290567i | −0.837235 | − | 0.546844i | \(-0.815829\pi\) |
0.966603 | + | 0.256277i | \(0.0824959\pi\) | |||||||
\(62\) | 0.773258 | + | 0.164361i | 0.0982038 | + | 0.0208739i | ||||
\(63\) | −0.237262 | + | 4.52723i | −0.0298922 | + | 0.570378i | ||||
\(64\) | −6.29010 | + | 8.65758i | −0.786263 | + | 1.08220i | ||||
\(65\) | −6.37038 | + | 7.70827i | −0.790148 | + | 0.956093i | ||||
\(66\) | −3.94553 | − | 5.71157i | −0.485661 | − | 0.703045i | ||||
\(67\) | −9.91428 | + | 2.65652i | −1.21122 | + | 0.324546i | −0.807241 | − | 0.590222i | \(-0.799040\pi\) |
−0.403981 | + | 0.914768i | \(0.632374\pi\) | |||||||
\(68\) | 0.498282 | + | 1.11916i | 0.0604256 | + | 0.135718i | ||||
\(69\) | −0.348758 | − | 1.64078i | −0.0419856 | − | 0.197527i | ||||
\(70\) | −11.9476 | + | 23.4484i | −1.42801 | + | 2.80263i | ||||
\(71\) | 1.82426 | + | 4.75237i | 0.216500 | + | 0.564002i | 0.998221 | − | 0.0596267i | \(-0.0189910\pi\) |
−0.781721 | + | 0.623629i | \(0.785658\pi\) | |||||||
\(72\) | −0.285655 | − | 0.744157i | −0.0336648 | − | 0.0876997i | ||||
\(73\) | −0.594767 | + | 1.16730i | −0.0696122 | + | 0.136622i | −0.923190 | − | 0.384343i | \(-0.874428\pi\) |
0.853578 | + | 0.520965i | \(0.174428\pi\) | |||||||
\(74\) | −2.33174 | − | 10.9700i | −0.271060 | − | 1.27524i | ||||
\(75\) | 1.09503 | + | 2.45948i | 0.126444 | + | 0.283997i | ||||
\(76\) | 5.75257 | − | 1.54140i | 0.659865 | − | 0.176810i | ||||
\(77\) | −4.30473 | − | 14.4063i | −0.490570 | − | 1.64176i | ||||
\(78\) | 1.25483 | − | 7.44152i | 0.142082 | − | 0.842586i | ||||
\(79\) | −4.31059 | + | 5.93302i | −0.484979 | + | 0.667517i | −0.979452 | − | 0.201676i | \(-0.935361\pi\) |
0.494473 | + | 0.869193i | \(0.335361\pi\) | |||||||
\(80\) | −0.449003 | + | 8.56748i | −0.0502000 | + | 0.957873i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 9.25051 | − | 20.7770i | 1.02155 | − | 2.29443i | ||||
\(83\) | 1.17785 | − | 7.43668i | 0.129286 | − | 0.816282i | −0.834773 | − | 0.550594i | \(-0.814401\pi\) |
0.964059 | − | 0.265687i | \(-0.0855989\pi\) | |||||||
\(84\) | −0.564882 | − | 10.7786i | −0.0616336 | − | 1.17604i | ||||
\(85\) | 1.19688 | + | 0.777263i | 0.129820 | + | 0.0843060i | ||||
\(86\) | 22.0285 | − | 3.48897i | 2.37539 | − | 0.376225i | ||||
\(87\) | −7.20450 | + | 4.15952i | −0.772403 | + | 0.445947i | ||||
\(88\) | 1.72172 | + | 2.00617i | 0.183536 | + | 0.213859i | ||||
\(89\) | 3.13325 | + | 11.6935i | 0.332124 | + | 1.23950i | 0.906953 | + | 0.421231i | \(0.138402\pi\) |
−0.574829 | + | 0.818273i | \(0.694931\pi\) | |||||||
\(90\) | −4.69637 | − | 3.41211i | −0.495041 | − | 0.359668i | ||||
\(91\) | 7.56563 | − | 14.4893i | 0.793094 | − | 1.51889i | ||||
\(92\) | 1.23412 | + | 3.79823i | 0.128666 | + | 0.395993i | ||||
\(93\) | −0.237691 | + | 0.293524i | −0.0246474 | + | 0.0304370i | ||||
\(94\) | 8.50839 | − | 0.894268i | 0.877574 | − | 0.0922367i | ||||
\(95\) | 4.64223 | − | 5.15572i | 0.476282 | − | 0.528965i | ||||
\(96\) | −3.66307 | − | 7.18919i | −0.373861 | − | 0.733743i | ||||
\(97\) | −2.25201 | + | 1.82364i | −0.228657 | + | 0.185163i | −0.736802 | − | 0.676109i | \(-0.763665\pi\) |
0.508145 | + | 0.861272i | \(0.330332\pi\) | |||||||
\(98\) | 7.34145 | − | 27.3987i | 0.741599 | − | 2.76768i | ||||
\(99\) | 3.28721 | − | 0.440743i | 0.330377 | − | 0.0442963i | ||||
\(100\) | −3.20489 | − | 5.55103i | −0.320489 | − | 0.555103i | ||||
\(101\) | 5.56252 | − | 2.47659i | 0.553491 | − | 0.246430i | −0.110879 | − | 0.993834i | \(-0.535367\pi\) |
0.664370 | + | 0.747404i | \(0.268700\pi\) | |||||||
\(102\) | −1.07551 | − | 0.0563653i | −0.106492 | − | 0.00558099i | ||||
\(103\) | −10.0137 | + | 3.25364i | −0.986675 | + | 0.320590i | −0.757529 | − | 0.652802i | \(-0.773594\pi\) |
−0.229147 | + | 0.973392i | \(0.573594\pi\) | |||||||
\(104\) | −0.179033 | + | 2.86840i | −0.0175556 | + | 0.281270i | ||||
\(105\) | −7.39050 | − | 10.1721i | −0.721239 | − | 0.992700i | ||||
\(106\) | −21.7353 | + | 14.1150i | −2.11112 | + | 1.37097i | ||||
\(107\) | −7.07261 | + | 6.36821i | −0.683735 | + | 0.615638i | −0.935992 | − | 0.352022i | \(-0.885494\pi\) |
0.252256 | + | 0.967660i | \(0.418827\pi\) | |||||||
\(108\) | 2.36779 | + | 0.248865i | 0.227841 | + | 0.0239470i | ||||
\(109\) | −14.1126 | + | 14.1126i | −1.35174 | + | 1.35174i | −0.468021 | + | 0.883717i | \(0.655033\pi\) |
−0.883717 | + | 0.468021i | \(0.844967\pi\) | |||||||
\(110\) | 18.4733 | + | 5.42416i | 1.76136 | + | 0.517174i | ||||
\(111\) | 5.17568 | + | 1.38682i | 0.491254 | + | 0.131631i | ||||
\(112\) | −2.19373 | − | 13.8507i | −0.207288 | − | 1.30876i | ||||
\(113\) | 5.04493 | − | 1.07233i | 0.474587 | − | 0.100877i | 0.0355926 | − | 0.999366i | \(-0.488668\pi\) |
0.438994 | + | 0.898490i | \(0.355335\pi\) | |||||||
\(114\) | −1.08854 | + | 5.12120i | −0.101952 | + | 0.479644i | ||||
\(115\) | 3.61555 | + | 2.92782i | 0.337152 | + | 0.273020i | ||||
\(116\) | 16.0236 | − | 11.6418i | 1.48775 | − | 1.08092i | ||||
\(117\) | 2.89567 | + | 2.14828i | 0.267705 | + | 0.198609i | ||||
\(118\) | 16.5563 | + | 5.37946i | 1.52413 | + | 0.495220i | ||||
\(119\) | −2.17778 | − | 0.835970i | −0.199636 | − | 0.0766332i | ||||
\(120\) | 1.91456 | + | 1.10537i | 0.174775 | + | 0.100906i | ||||
\(121\) | −9.77715 | + | 5.04056i | −0.888832 | + | 0.458233i | ||||
\(122\) | −3.67658 | − | 3.67658i | −0.332862 | − | 0.332862i | ||||
\(123\) | 6.83826 | + | 8.44455i | 0.616585 | + | 0.761419i | ||||
\(124\) | 0.489755 | − | 0.754157i | 0.0439813 | − | 0.0677253i | ||||
\(125\) | 5.70293 | + | 2.90579i | 0.510085 | + | 0.259901i | ||||
\(126\) | 8.66836 | + | 3.85940i | 0.772239 | + | 0.343823i | ||||
\(127\) | −0.828971 | − | 7.88714i | −0.0735593 | − | 0.699870i | −0.967704 | − | 0.252091i | \(-0.918882\pi\) |
0.894144 | − | 0.447779i | \(-0.147785\pi\) | |||||||
\(128\) | 3.41009 | + | 5.25108i | 0.301412 | + | 0.464134i | ||||
\(129\) | −3.29282 | + | 10.1343i | −0.289917 | + | 0.892272i | ||||
\(130\) | 10.2839 | + | 18.2297i | 0.901954 | + | 1.59885i | ||||
\(131\) | − | 13.1837i | − | 1.15187i | −0.817496 | − | 0.575935i | \(-0.804638\pi\) | ||
0.817496 | − | 0.575935i | \(-0.195362\pi\) | |||||||
\(132\) | −7.67374 | + | 1.86166i | −0.667913 | + | 0.162036i | ||||
\(133\) | −5.67006 | + | 9.82083i | −0.491656 | + | 0.851574i | ||||
\(134\) | −2.24559 | + | 21.3654i | −0.193989 | + | 1.84569i | ||||
\(135\) | 2.47120 | − | 1.25914i | 0.212687 | − | 0.108369i | ||||
\(136\) | 0.409591 | − | 0.0214657i | 0.0351221 | − | 0.00184067i | ||||
\(137\) | 2.38198 | − | 0.914355i | 0.203506 | − | 0.0781186i | −0.254480 | − | 0.967078i | \(-0.581904\pi\) |
0.457986 | + | 0.888959i | \(0.348571\pi\) | |||||||
\(138\) | −3.46772 | − | 0.549233i | −0.295192 | − | 0.0467538i | ||||
\(139\) | 1.51011 | + | 1.35971i | 0.128086 | + | 0.115329i | 0.730684 | − | 0.682716i | \(-0.239201\pi\) |
−0.602598 | + | 0.798045i | \(0.705868\pi\) | |||||||
\(140\) | 20.0306 | + | 22.2463i | 1.69290 | + | 1.88015i | ||||
\(141\) | −1.46482 | + | 3.81598i | −0.123360 | + | 0.321364i | ||||
\(142\) | 10.6546 | 0.894113 | ||||||||
\(143\) | −11.4397 | − | 3.48327i | −0.956636 | − | 0.291286i | ||||
\(144\) | 3.09330 | 0.257775 | ||||||||
\(145\) | 8.26854 | − | 21.5403i | 0.686665 | − | 1.78882i | ||||
\(146\) | 1.83480 | + | 2.03776i | 0.151849 | + | 0.168646i | ||||
\(147\) | 10.0712 | + | 9.06815i | 0.830658 | + | 0.747928i | ||||
\(148\) | −12.6001 | − | 1.99565i | −1.03572 | − | 0.164042i | ||||
\(149\) | 4.29820 | − | 1.64993i | 0.352122 | − | 0.135167i | −0.175876 | − | 0.984412i | \(-0.556276\pi\) |
0.527999 | + | 0.849245i | \(0.322943\pi\) | |||||||
\(150\) | 5.62726 | − | 0.294912i | 0.459464 | − | 0.0240795i | ||||
\(151\) | 14.6437 | − | 7.46134i | 1.19169 | − | 0.607196i | 0.258301 | − | 0.966065i | \(-0.416838\pi\) |
0.933388 | + | 0.358869i | \(0.116838\pi\) | |||||||
\(152\) | 0.208419 | − | 1.98297i | 0.0169050 | − | 0.160840i | ||||
\(153\) | 0.257278 | − | 0.445619i | 0.0207997 | − | 0.0360262i | ||||
\(154\) | −31.3792 | − | 2.39436i | −2.52861 | − | 0.192943i | ||||
\(155\) | − | 1.04753i | − | 0.0841399i | ||||||
\(156\) | −7.39097 | − | 4.36605i | −0.591751 | − | 0.349563i | ||||
\(157\) | 0.511746 | − | 1.57499i | 0.0408418 | − | 0.125698i | −0.928557 | − | 0.371191i | \(-0.878950\pi\) |
0.969398 | + | 0.245493i | \(0.0789497\pi\) | |||||||
\(158\) | 8.35998 | + | 12.8732i | 0.665084 | + | 1.02414i | ||||
\(159\) | −1.29428 | − | 12.3143i | −0.102643 | − | 0.976587i | ||||
\(160\) | 20.4435 | + | 9.10204i | 1.61620 | + | 0.719579i | ||||
\(161\) | −6.77571 | − | 3.45240i | −0.534001 | − | 0.272087i | ||||
\(162\) | −1.13995 | + | 1.75537i | −0.0895632 | + | 0.137915i | ||||
\(163\) | −4.94028 | − | 6.10074i | −0.386952 | − | 0.477846i | 0.546031 | − | 0.837765i | \(-0.316138\pi\) |
−0.932984 | + | 0.359918i | \(0.882805\pi\) | |||||||
\(164\) | −18.2931 | − | 18.2931i | −1.42845 | − | 1.42845i | ||||
\(165\) | −6.31599 | + | 6.68752i | −0.491699 | + | 0.520623i | ||||
\(166\) | −13.6480 | − | 7.87966i | −1.05929 | − | 0.611580i | ||||
\(167\) | 13.8817 | + | 5.32870i | 1.07420 | + | 0.412347i | 0.830222 | − | 0.557433i | \(-0.188214\pi\) |
0.243979 | + | 0.969780i | \(0.421547\pi\) | |||||||
\(168\) | −3.43675 | − | 1.11667i | −0.265151 | − | 0.0861527i | ||||
\(169\) | −6.27412 | − | 11.3858i | −0.482625 | − | 0.875827i | ||||
\(170\) | 2.41655 | − | 1.75572i | 0.185341 | − | 0.134658i | ||||
\(171\) | −1.94398 | − | 1.57420i | −0.148660 | − | 0.120382i | ||||
\(172\) | 5.27465 | − | 24.8153i | 0.402188 | − | 1.89215i | ||||
\(173\) | 9.43160 | − | 2.00475i | 0.717071 | − | 0.152418i | 0.165095 | − | 0.986278i | \(-0.447207\pi\) |
0.551977 | + | 0.833860i | \(0.313874\pi\) | |||||||
\(174\) | 2.72385 | + | 17.1977i | 0.206495 | + | 1.30376i | ||||
\(175\) | 11.7892 | + | 3.15892i | 0.891183 | + | 0.238792i | ||||
\(176\) | −9.66267 | + | 3.44767i | −0.728351 | + | 0.259878i | ||||
\(177\) | −5.88116 | + | 5.88116i | −0.442055 | + | 0.442055i | ||||
\(178\) | 25.1995 | + | 2.64857i | 1.88878 | + | 0.198519i | ||||
\(179\) | −12.7069 | + | 11.4413i | −0.949757 | + | 0.855165i | −0.989572 | − | 0.144042i | \(-0.953990\pi\) |
0.0398146 | + | 0.999207i | \(0.487323\pi\) | |||||||
\(180\) | −5.53792 | + | 3.59637i | −0.412772 | + | 0.268057i | ||||
\(181\) | −0.588060 | − | 0.809396i | −0.0437102 | − | 0.0601619i | 0.786602 | − | 0.617460i | \(-0.211838\pi\) |
−0.830313 | + | 0.557298i | \(0.811838\pi\) | |||||||
\(182\) | −22.6376 | − | 25.6515i | −1.67801 | − | 1.90142i | ||||
\(183\) | 2.36258 | − | 0.767650i | 0.174647 | − | 0.0567463i | ||||
\(184\) | 1.33525 | + | 0.0699775i | 0.0984360 | + | 0.00515881i | ||||
\(185\) | −13.5763 | + | 6.04454i | −0.998147 | + | 0.444404i | ||||
\(186\) | 0.395266 | + | 0.684621i | 0.0289823 | + | 0.0501989i | ||||
\(187\) | −0.307001 | + | 1.67875i | −0.0224501 | + | 0.122762i | ||||
\(188\) | 2.51872 | − | 9.39999i | 0.183697 | − | 0.685565i | ||||
\(189\) | −3.52315 | + | 2.85299i | −0.256271 | + | 0.207524i | ||||
\(190\) | −6.59236 | − | 12.9382i | −0.478260 | − | 0.938638i | ||||
\(191\) | 13.6502 | − | 15.1601i | 0.987695 | − | 1.09695i | −0.00759227 | − | 0.999971i | \(-0.502417\pi\) |
0.995287 | − | 0.0969748i | \(-0.0309166\pi\) | |||||||
\(192\) | −10.6427 | + | 1.11860i | −0.768073 | + | 0.0807278i | ||||
\(193\) | 0.499752 | − | 0.617142i | 0.0359729 | − | 0.0444229i | −0.758842 | − | 0.651275i | \(-0.774235\pi\) |
0.794815 | + | 0.606852i | \(0.207568\pi\) | |||||||
\(194\) | 1.87425 | + | 5.76836i | 0.134564 | + | 0.414144i | ||||
\(195\) | −9.99098 | + | 0.423723i | −0.715469 | + | 0.0303434i | ||||
\(196\) | −26.1032 | − | 18.9651i | −1.86452 | − | 1.35465i | ||||
\(197\) | −1.57166 | − | 5.86553i | −0.111976 | − | 0.417902i | 0.887067 | − | 0.461642i | \(-0.152739\pi\) |
−0.999043 | + | 0.0437400i | \(0.986073\pi\) | |||||||
\(198\) | 1.60445 | − | 6.75388i | 0.114023 | − | 0.479977i | ||||
\(199\) | 14.6801 | − | 8.47557i | 1.04065 | − | 0.600817i | 0.120630 | − | 0.992698i | \(-0.461509\pi\) |
0.920016 | + | 0.391881i | \(0.128175\pi\) | |||||||
\(200\) | −2.11956 | + | 0.335706i | −0.149876 | + | 0.0237380i | ||||
\(201\) | −8.60813 | − | 5.59018i | −0.607171 | − | 0.394301i | ||||
\(202\) | −0.666991 | − | 12.7269i | −0.0469293 | − | 0.895464i | ||||
\(203\) | −5.89975 | + | 37.2496i | −0.414082 | + | 2.61441i | ||||
\(204\) | −0.498282 | + | 1.11916i | −0.0348867 | + | 0.0783568i | ||||
\(205\) | −29.4785 | − | 6.26584i | −2.05886 | − | 0.437625i | ||||
\(206\) | −1.15336 | + | 22.0074i | −0.0803584 | + | 1.53333i | ||||
\(207\) | 0.985972 | − | 1.35707i | 0.0685298 | − | 0.0943231i | ||||
\(208\) | −10.1431 | − | 4.63776i | −0.703295 | − | 0.321571i | ||||
\(209\) | 7.82703 | + | 2.75072i | 0.541407 | + | 0.190271i | ||||
\(210\) | −25.4201 | + | 6.81129i | −1.75415 | + | 0.470024i | ||||
\(211\) | 2.05078 | + | 4.60612i | 0.141181 | + | 0.317098i | 0.970273 | − | 0.242015i | \(-0.0778083\pi\) |
−0.829091 | + | 0.559113i | \(0.811142\pi\) | |||||||
\(212\) | 6.12919 | + | 28.8356i | 0.420954 | + | 1.98043i | ||||
\(213\) | −2.31103 | + | 4.53564i | −0.158349 | + | 0.310777i | ||||
\(214\) | 7.13861 | + | 18.5967i | 0.487986 | + | 1.27125i | ||||
\(215\) | −10.5911 | − | 27.5908i | −0.722308 | − | 1.88168i | ||||
\(216\) | 0.361876 | − | 0.710221i | 0.0246225 | − | 0.0483244i | ||||
\(217\) | 0.355999 | + | 1.67484i | 0.0241668 | + | 0.113696i | ||||
\(218\) | 16.9908 | + | 38.1618i | 1.15076 | + | 2.58465i | ||||
\(219\) | −1.26545 | + | 0.339076i | −0.0855110 | + | 0.0229126i | ||||
\(220\) | 13.2907 | − | 17.4065i | 0.896056 | − | 1.17354i | ||||
\(221\) | −1.51174 | + | 1.07547i | −0.101691 | + | 0.0723439i | ||||
\(222\) | 6.59205 | − | 9.07318i | 0.442430 | − | 0.608952i | ||||
\(223\) | −0.0150598 | + | 0.287358i | −0.00100848 | + | 0.0192429i | −0.999087 | − | 0.0427121i | \(-0.986400\pi\) |
0.998079 | + | 0.0619550i | \(0.0197335\pi\) | |||||||
\(224\) | −35.7793 | − | 7.60512i | −2.39060 | − | 0.508139i | ||||
\(225\) | −1.09503 | + | 2.45948i | −0.0730022 | + | 0.163966i | ||||
\(226\) | 1.68873 | − | 10.6622i | 0.112333 | − | 0.709242i | ||||
\(227\) | −1.24282 | − | 23.7145i | −0.0824890 | − | 1.57398i | −0.655984 | − | 0.754775i | \(-0.727746\pi\) |
0.573495 | − | 0.819209i | \(-0.305587\pi\) | |||||||
\(228\) | 4.99470 | + | 3.24360i | 0.330782 | + | 0.214812i | ||||
\(229\) | −19.7512 | + | 3.12829i | −1.30520 | + | 0.206723i | −0.770022 | − | 0.638017i | \(-0.779755\pi\) |
−0.535177 | + | 0.844740i | \(0.679755\pi\) | |||||||
\(230\) | 8.43298 | − | 4.86878i | 0.556054 | − | 0.321038i | ||||
\(231\) | 7.82557 | − | 12.8388i | 0.514885 | − | 0.844729i | ||||
\(232\) | −1.71626 | − | 6.40515i | −0.112678 | − | 0.420519i | ||||
\(233\) | −20.0960 | − | 14.6006i | −1.31653 | − | 0.956515i | −0.999968 | − | 0.00794361i | \(-0.997471\pi\) |
−0.316562 | − | 0.948572i | \(-0.602529\pi\) | |||||||
\(234\) | 6.36977 | − | 4.04683i | 0.416405 | − | 0.264549i | ||||
\(235\) | −3.50319 | − | 10.7817i | −0.228523 | − | 0.703321i | ||||
\(236\) | 12.4617 | − | 15.3890i | 0.811190 | − | 1.00174i | ||||
\(237\) | −7.29344 | + | 0.766571i | −0.473760 | + | 0.0497942i | ||||
\(238\) | −3.26701 | + | 3.62838i | −0.211769 | + | 0.235193i | ||||
\(239\) | −3.18473 | − | 6.25038i | −0.206003 | − | 0.404304i | 0.764770 | − | 0.644303i | \(-0.222853\pi\) |
−0.970773 | + | 0.240000i | \(0.922853\pi\) | |||||||
\(240\) | −6.66732 | + | 5.39909i | −0.430374 | + | 0.348510i | ||||
\(241\) | −5.78602 | + | 21.5937i | −0.372710 | + | 1.39097i | 0.483952 | + | 0.875095i | \(0.339201\pi\) |
−0.856662 | + | 0.515878i | \(0.827466\pi\) | |||||||
\(242\) | 2.51574 | + | 22.8856i | 0.161718 | + | 1.47114i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −5.40306 | + | 2.40560i | −0.345895 | + | 0.154003i | ||||
\(245\) | −37.5352 | − | 1.96714i | −2.39803 | − | 0.125676i | ||||
\(246\) | 21.6301 | − | 7.02805i | 1.37908 | − | 0.448092i | ||||
\(247\) | 4.01420 | + | 8.07647i | 0.255418 | + | 0.513894i | ||||
\(248\) | −0.176959 | − | 0.243563i | −0.0112369 | − | 0.0154663i | ||||
\(249\) | 6.31467 | − | 4.10079i | 0.400176 | − | 0.259877i | ||||
\(250\) | 9.95563 | − | 8.96409i | 0.629649 | − | 0.566939i | ||||
\(251\) | 5.50871 | + | 0.578989i | 0.347707 | + | 0.0365455i | 0.276772 | − | 0.960936i | \(-0.410735\pi\) |
0.0709345 | + | 0.997481i | \(0.477402\pi\) | |||||||
\(252\) | 7.63207 | − | 7.63207i | 0.480775 | − | 0.480775i | ||||
\(253\) | −1.56738 | + | 5.33807i | −0.0985402 | + | 0.335602i | ||||
\(254\) | −16.0335 | − | 4.29615i | −1.00603 | − | 0.269565i | ||||
\(255\) | 0.223250 | + | 1.40955i | 0.0139805 | + | 0.0882692i | ||||
\(256\) | −8.11645 | + | 1.72520i | −0.507278 | + | 0.107825i | ||||
\(257\) | −4.55639 | + | 21.4361i | −0.284219 | + | 1.33715i | 0.571880 | + | 0.820337i | \(0.306214\pi\) |
−0.856100 | + | 0.516811i | \(0.827119\pi\) | |||||||
\(258\) | 17.3327 | + | 14.0358i | 1.07909 | + | 0.873829i | ||||
\(259\) | 19.6521 | − | 14.2781i | 1.22112 | − | 0.887199i | ||||
\(260\) | 23.5511 | − | 3.48969i | 1.46058 | − | 0.216421i | ||||
\(261\) | −7.91188 | − | 2.57072i | −0.489733 | − | 0.159124i | ||||
\(262\) | −25.7614 | − | 9.88886i | −1.59154 | − | 0.610936i | ||||
\(263\) | 3.18363 | + | 1.83807i | 0.196311 | + | 0.113340i | 0.594934 | − | 0.803775i | \(-0.297178\pi\) |
−0.398623 | + | 0.917115i | \(0.630512\pi\) | |||||||
\(264\) | −0.338821 | + | 2.62188i | −0.0208530 | + | 0.161365i | ||||
\(265\) | 24.2832 | + | 24.2832i | 1.49171 | + | 1.49171i | ||||
\(266\) | 14.9371 | + | 18.4458i | 0.915855 | + | 1.13099i | ||||
\(267\) | −6.59338 | + | 10.1529i | −0.403508 | + | 0.621348i | ||||
\(268\) | 21.7734 | + | 11.0941i | 1.33002 | + | 0.677682i | ||||
\(269\) | −18.8782 | − | 8.40510i | −1.15102 | − | 0.512468i | −0.259633 | − | 0.965707i | \(-0.583602\pi\) |
−0.891389 | + | 0.453239i | \(0.850268\pi\) | |||||||
\(270\) | −0.606791 | − | 5.77323i | −0.0369281 | − | 0.351348i | ||||
\(271\) | 15.8756 | + | 24.4462i | 0.964373 | + | 1.48500i | 0.872134 | + | 0.489266i | \(0.162735\pi\) |
0.0922381 | + | 0.995737i | \(0.470598\pi\) | |||||||
\(272\) | −0.491855 | + | 1.51378i | −0.0298231 | + | 0.0917861i | ||||
\(273\) | 15.8300 | − | 4.07285i | 0.958076 | − | 0.246500i | ||||
\(274\) | − | 5.34028i | − | 0.322618i | ||||||
\(275\) | 0.679354 | − | 8.90327i | 0.0409666 | − | 0.536888i | ||||
\(276\) | −1.99685 | + | 3.45864i | −0.120196 | + | 0.208186i | ||||
\(277\) | 0.952219 | − | 9.05976i | 0.0572133 | − | 0.544348i | −0.927947 | − | 0.372712i | \(-0.878428\pi\) |
0.985160 | − | 0.171636i | \(-0.0549054\pi\) | |||||||
\(278\) | 3.78960 | − | 1.93090i | 0.227285 | − | 0.115808i | ||||
\(279\) | −0.377178 | + | 0.0197670i | −0.0225810 | + | 0.00118342i | ||||
\(280\) | 9.35663 | − | 3.59167i | 0.559165 | − | 0.214643i | ||||
\(281\) | −25.3754 | − | 4.01907i | −1.51377 | − | 0.239758i | −0.656382 | − | 0.754429i | \(-0.727914\pi\) |
−0.857388 | + | 0.514671i | \(0.827914\pi\) | |||||||
\(282\) | 6.35780 | + | 5.72459i | 0.378601 | + | 0.340894i | ||||
\(283\) | −12.8107 | − | 14.2277i | −0.761517 | − | 0.845750i | 0.230340 | − | 0.973110i | \(-0.426016\pi\) |
−0.991857 | + | 0.127360i | \(0.959350\pi\) | |||||||
\(284\) | 4.34326 | − | 11.3146i | 0.257725 | − | 0.671397i | ||||
\(285\) | 6.93770 | 0.410954 | ||||||||
\(286\) | −15.3871 | + | 19.7407i | −0.909858 | + | 1.16729i | ||||
\(287\) | 49.2609 | 2.90778 | ||||||||
\(288\) | 2.89153 | − | 7.53270i | 0.170385 | − | 0.443869i | ||||
\(289\) | −11.1981 | − | 12.4367i | −0.658709 | − | 0.731571i | ||||
\(290\) | −35.8882 | − | 32.3139i | −2.10743 | − | 1.89753i | ||||
\(291\) | −2.86212 | − | 0.453315i | −0.167780 | − | 0.0265738i | ||||
\(292\) | 2.91193 | − | 1.11779i | 0.170408 | − | 0.0654134i | ||||
\(293\) | 25.4654 | − | 1.33458i | 1.48770 | − | 0.0779673i | 0.708933 | − | 0.705276i | \(-0.249177\pi\) |
0.778771 | + | 0.627309i | \(0.215843\pi\) | |||||||
\(294\) | 25.2736 | − | 12.8775i | 1.47399 | − | 0.751033i | ||||
\(295\) | 2.41123 | − | 22.9413i | 0.140387 | − | 1.33570i | ||||
\(296\) | −2.13553 | + | 3.69885i | −0.124125 | + | 0.214991i | ||||
\(297\) | 2.52711 | + | 2.14796i | 0.146638 | + | 0.124637i | ||||
\(298\) | − | 9.63637i | − | 0.558220i | ||||||
\(299\) | −5.26769 | + | 2.97164i | −0.304639 | + | 0.171855i | ||||
\(300\) | 1.98073 | − | 6.09606i | 0.114357 | − | 0.351956i | ||||
\(301\) | 26.3101 | + | 40.5141i | 1.51649 | + | 2.33519i | ||||
\(302\) | −3.59570 | − | 34.2108i | −0.206909 | − | 1.96861i | ||||
\(303\) | 5.56252 | + | 2.47659i | 0.319558 | + | 0.142277i | ||||
\(304\) | 6.89433 | + | 3.51284i | 0.395417 | + | 0.201475i | ||||
\(305\) | −3.75246 | + | 5.77828i | −0.214865 | + | 0.330863i | ||||
\(306\) | −0.677771 | − | 0.836978i | −0.0387456 | − | 0.0478468i | ||||
\(307\) | −5.25696 | − | 5.25696i | −0.300031 | − | 0.300031i | 0.540995 | − | 0.841026i | \(-0.318048\pi\) |
−0.841026 | + | 0.540995i | \(0.818048\pi\) | |||||||
\(308\) | −15.3342 | + | 32.3470i | −0.873747 | + | 1.84314i | ||||
\(309\) | −9.11837 | − | 5.26449i | −0.518726 | − | 0.299487i | ||||
\(310\) | −2.04691 | − | 0.785734i | −0.116256 | − | 0.0446267i | ||||
\(311\) | −0.791826 | − | 0.257280i | −0.0449003 | − | 0.0145890i | 0.286481 | − | 0.958086i | \(-0.407515\pi\) |
−0.331381 | + | 0.943497i | \(0.607515\pi\) | |||||||
\(312\) | −2.25143 | + | 1.78629i | −0.127462 | + | 0.101129i | ||||
\(313\) | 4.23961 | − | 3.08026i | 0.239637 | − | 0.174107i | −0.461484 | − | 0.887148i | \(-0.652683\pi\) |
0.701122 | + | 0.713042i | \(0.252683\pi\) | |||||||
\(314\) | −2.69372 | − | 2.18133i | −0.152016 | − | 0.123100i | ||||
\(315\) | 2.61417 | − | 12.2987i | 0.147292 | − | 0.692953i | ||||
\(316\) | 17.0786 | − | 3.63016i | 0.960744 | − | 0.204212i | ||||
\(317\) | 2.49579 | + | 15.7578i | 0.140177 | + | 0.885045i | 0.953096 | + | 0.302668i | \(0.0978773\pi\) |
−0.812919 | + | 0.582377i | \(0.802123\pi\) | |||||||
\(318\) | −25.0333 | − | 6.70764i | −1.40379 | − | 0.376146i | ||||
\(319\) | 27.5799 | − | 0.787992i | 1.54418 | − | 0.0441191i | ||||
\(320\) | 20.9870 | − | 20.9870i | 1.17321 | − | 1.17321i | ||||
\(321\) | −9.46500 | − | 0.994812i | −0.528285 | − | 0.0555250i | ||||
\(322\) | −11.8284 | + | 10.6503i | −0.659171 | + | 0.593520i | ||||
\(323\) | 1.07948 | − | 0.701021i | 0.0600637 | − | 0.0390058i | ||||
\(324\) | 1.39942 | + | 1.92613i | 0.0777455 | + | 0.107007i | ||||
\(325\) | 7.27815 | − | 6.42298i | 0.403719 | − | 0.356283i | ||||
\(326\) | −15.6266 | + | 5.07739i | −0.865477 | + | 0.281210i | ||||
\(327\) | −19.9308 | − | 1.04453i | −1.10218 | − | 0.0577627i | ||||
\(328\) | −7.91255 | + | 3.52290i | −0.436898 | + | 0.194519i | ||||
\(329\) | 9.26517 | + | 16.0477i | 0.510805 | + | 0.884741i | ||||
\(330\) | 8.33008 | + | 17.3578i | 0.458556 | + | 0.955514i | ||||
\(331\) | 5.34724 | − | 19.9562i | 0.293911 | − | 1.09689i | −0.648167 | − | 0.761498i | \(-0.724464\pi\) |
0.942078 | − | 0.335393i | \(-0.108869\pi\) | |||||||
\(332\) | −13.9313 | + | 11.2813i | −0.764578 | + | 0.619143i | ||||
\(333\) | 2.43260 | + | 4.77424i | 0.133306 | + | 0.261627i | ||||
\(334\) | 20.8248 | − | 23.1283i | 1.13948 | − | 1.26552i | ||||
\(335\) | 28.3112 | − | 2.97563i | 1.54681 | − | 0.162576i | ||||
\(336\) | 8.82516 | − | 10.8982i | 0.481452 | − | 0.594543i | ||||
\(337\) | −8.22406 | − | 25.3110i | −0.447993 | − | 1.37878i | −0.879168 | − | 0.476512i | \(-0.841901\pi\) |
0.431175 | − | 0.902268i | \(-0.358099\pi\) | |||||||
\(338\) | −26.9541 | + | 3.71957i | −1.46611 | + | 0.202318i | ||||
\(339\) | 4.17261 | + | 3.03158i | 0.226625 | + | 0.164653i | ||||
\(340\) | −0.879396 | − | 3.28195i | −0.0476920 | − | 0.177989i | ||||
\(341\) | 1.15617 | − | 0.482134i | 0.0626103 | − | 0.0261090i | ||||
\(342\) | −4.53417 | + | 2.61781i | −0.245180 | + | 0.141555i | ||||
\(343\) | 29.3380 | − | 4.64669i | 1.58410 | − | 0.250897i | ||||
\(344\) | −7.12344 | − | 4.62602i | −0.384070 | − | 0.249418i | ||||
\(345\) | 0.243485 | + | 4.64597i | 0.0131088 | + | 0.250131i | ||||
\(346\) | 3.15713 | − | 19.9333i | 0.169728 | − | 1.07162i | ||||
\(347\) | −11.7371 | + | 26.3620i | −0.630081 | + | 1.41518i | 0.262781 | + | 0.964855i | \(0.415360\pi\) |
−0.892862 | + | 0.450330i | \(0.851306\pi\) | |||||||
\(348\) | 19.3734 | + | 4.11795i | 1.03852 | + | 0.220745i | ||||
\(349\) | 0.659988 | − | 12.5933i | 0.0353284 | − | 0.674105i | −0.922366 | − | 0.386318i | \(-0.873747\pi\) |
0.957694 | − | 0.287788i | \(-0.0929198\pi\) | |||||||
\(350\) | 15.0155 | − | 20.6670i | 0.802612 | − | 1.10470i | ||||
\(351\) | 0.341097 | + | 3.58938i | 0.0182064 | + | 0.191587i | ||||
\(352\) | −0.636744 | + | 26.7530i | −0.0339386 | + | 1.42594i | ||||
\(353\) | 8.46266 | − | 2.26756i | 0.450422 | − | 0.120690i | −0.0264750 | − | 0.999649i | \(-0.508428\pi\) |
0.476897 | + | 0.878959i | \(0.341762\pi\) | |||||||
\(354\) | 7.08059 | + | 15.9033i | 0.376329 | + | 0.845250i | ||||
\(355\) | −2.93537 | − | 13.8098i | −0.155793 | − | 0.732951i | ||||
\(356\) | 13.0850 | − | 25.6808i | 0.693506 | − | 1.36108i | ||||
\(357\) | −0.835970 | − | 2.17778i | −0.0442442 | − | 0.115260i | ||||
\(358\) | 12.8255 | + | 33.4115i | 0.677847 | + | 1.76585i | ||||
\(359\) | −4.46156 | + | 8.75630i | −0.235472 | + | 0.462140i | −0.978259 | − | 0.207388i | \(-0.933504\pi\) |
0.742787 | + | 0.669528i | \(0.233504\pi\) | |||||||
\(360\) | 0.459640 | + | 2.16244i | 0.0242252 | + | 0.113970i | ||||
\(361\) | 5.18297 | + | 11.6412i | 0.272788 | + | 0.612692i | ||||
\(362\) | −2.02267 | + | 0.541973i | −0.106309 | + | 0.0284855i | ||||
\(363\) | −10.2881 | − | 3.89305i | −0.539983 | − | 0.204332i | ||||
\(364\) | −36.4686 | + | 13.5832i | −1.91147 | + | 0.711953i | ||||
\(365\) | 2.13573 | − | 2.93957i | 0.111789 | − | 0.153864i | ||||
\(366\) | 0.272119 | − | 5.19234i | 0.0142239 | − | 0.271408i | ||||
\(367\) | 29.2787 | + | 6.22338i | 1.52834 | + | 0.324858i | 0.893953 | − | 0.448161i | \(-0.147921\pi\) |
0.634383 | + | 0.773019i | \(0.281254\pi\) | |||||||
\(368\) | −2.11048 | + | 4.74021i | −0.110016 | + | 0.247101i | ||||
\(369\) | −1.69983 | + | 10.7323i | −0.0884898 | + | 0.558702i | ||||
\(370\) | 1.62790 | + | 31.0622i | 0.0846307 | + | 1.61485i | ||||
\(371\) | −47.0777 | − | 30.5726i | −2.44415 | − | 1.58725i | ||||
\(372\) | 0.888158 | − | 0.140670i | 0.0460488 | − | 0.00729342i | ||||
\(373\) | 13.1310 | − | 7.58118i | 0.679897 | − | 0.392539i | −0.119919 | − | 0.992784i | \(-0.538264\pi\) |
0.799816 | + | 0.600245i | \(0.204930\pi\) | |||||||
\(374\) | 3.05004 | + | 1.85908i | 0.157714 | + | 0.0961309i | ||||
\(375\) | 1.65658 | + | 6.18245i | 0.0855456 | + | 0.319260i | ||||
\(376\) | −2.63588 | − | 1.91508i | −0.135935 | − | 0.0987626i | ||||
\(377\) | 22.0891 | + | 20.2917i | 1.13765 | + | 1.04508i | ||||
\(378\) | 2.93217 | + | 9.02429i | 0.150815 | + | 0.464159i | ||||
\(379\) | 6.68361 | − | 8.25358i | 0.343314 | − | 0.423958i | −0.576020 | − | 0.817436i | \(-0.695395\pi\) |
0.919334 | + | 0.393478i | \(0.128728\pi\) | |||||||
\(380\) | −16.4270 | + | 1.72655i | −0.842688 | + | 0.0885701i | ||||
\(381\) | 5.30659 | − | 5.89357i | 0.271865 | − | 0.301937i | ||||
\(382\) | −19.3845 | − | 38.0441i | −0.991795 | − | 1.94651i | ||||
\(383\) | 8.94070 | − | 7.24004i | 0.456849 | − | 0.369949i | −0.373098 | − | 0.927792i | \(-0.621704\pi\) |
0.829946 | + | 0.557843i | \(0.188371\pi\) | |||||||
\(384\) | −1.62052 | + | 6.04785i | −0.0826966 | + | 0.308628i | ||||
\(385\) | 5.54166 | + | 41.3316i | 0.282429 | + | 2.10645i | ||||
\(386\) | −0.831057 | − | 1.43943i | −0.0422997 | − | 0.0732652i | ||||
\(387\) | −9.73456 | + | 4.33410i | −0.494835 | + | 0.220315i | ||||
\(388\) | 6.88971 | + | 0.361074i | 0.349772 | + | 0.0183308i | ||||
\(389\) | 6.23233 | − | 2.02501i | 0.315992 | − | 0.102672i | −0.146727 | − | 0.989177i | \(-0.546874\pi\) |
0.462719 | + | 0.886505i | \(0.346874\pi\) | |||||||
\(390\) | −6.66606 | + | 19.8404i | −0.337549 | + | 1.00466i | ||||
\(391\) | 0.507338 | + | 0.698291i | 0.0256572 | + | 0.0353141i | ||||
\(392\) | −9.05965 | + | 5.88341i | −0.457582 | + | 0.297157i | ||||
\(393\) | 9.79743 | − | 8.82165i | 0.494215 | − | 0.444993i | ||||
\(394\) | −12.6403 | − | 1.32854i | −0.636807 | − | 0.0669311i | ||||
\(395\) | 14.3823 | − | 14.3823i | 0.723654 | − | 0.723654i | ||||
\(396\) | −6.51821 | − | 4.45701i | −0.327553 | − | 0.223973i | ||||
\(397\) | −19.1079 | − | 5.11995i | −0.958999 | − | 0.256963i | −0.254822 | − | 0.966988i | \(-0.582017\pi\) |
−0.704176 | + | 0.710025i | \(0.748684\pi\) | |||||||
\(398\) | −5.55021 | − | 35.0427i | −0.278207 | − | 1.75653i | ||||
\(399\) | −11.0923 | + | 2.35774i | −0.555310 | + | 0.118035i | ||||
\(400\) | 1.73147 | − | 8.14593i | 0.0865735 | − | 0.407296i | ||||
\(401\) | 7.15535 | + | 5.79429i | 0.357321 | + | 0.289353i | 0.791125 | − | 0.611654i | \(-0.209496\pi\) |
−0.433804 | + | 0.901007i | \(0.642829\pi\) | |||||||
\(402\) | −17.3801 | + | 12.6274i | −0.866843 | + | 0.629798i | ||||
\(403\) | 1.26642 | + | 0.500682i | 0.0630848 | + | 0.0249408i | ||||
\(404\) | −13.7872 | − | 4.47974i | −0.685939 | − | 0.222875i | ||||
\(405\) | 2.58928 | + | 0.993930i | 0.128662 | + | 0.0493888i | ||||
\(406\) | 68.3613 | + | 39.4684i | 3.39272 | + | 1.95879i | ||||
\(407\) | −12.9200 | − | 12.2022i | −0.640420 | − | 0.604841i | ||||
\(408\) | 0.290022 | + | 0.290022i | 0.0143582 | + | 0.0143582i | ||||
\(409\) | −4.42633 | − | 5.46606i | −0.218868 | − | 0.270279i | 0.655872 | − | 0.754872i | \(-0.272301\pi\) |
−0.874740 | + | 0.484593i | \(0.838968\pi\) | |||||||
\(410\) | −34.3548 | + | 52.9018i | −1.69666 | + | 2.61263i | ||||
\(411\) | 2.27335 | + | 1.15833i | 0.112136 | + | 0.0571362i | ||||
\(412\) | 22.9005 | + | 10.1960i | 1.12823 | + | 0.502320i | ||||
\(413\) | 3.94131 | + | 37.4991i | 0.193939 | + | 1.84521i | ||||
\(414\) | −1.91220 | − | 2.94453i | −0.0939794 | − | 0.144716i | ||||
\(415\) | −6.45309 | + | 19.8606i | −0.316770 | + | 0.974917i | ||||
\(416\) | −20.7752 | + | 20.3648i | −1.01859 | + | 0.998466i | ||||
\(417\) | 2.03205i | 0.0995100i | ||||||||
\(418\) | 11.2459 | − | 13.2310i | 0.550054 | − | 0.647147i | ||||
\(419\) | 2.09502 | − | 3.62869i | 0.102349 | − | 0.177273i | −0.810303 | − | 0.586011i | \(-0.800698\pi\) |
0.912652 | + | 0.408738i | \(0.134031\pi\) | |||||||
\(420\) | −3.12909 | + | 29.7713i | −0.152684 | + | 1.45269i | ||||
\(421\) | 11.9832 | − | 6.10574i | 0.584025 | − | 0.297575i | −0.136904 | − | 0.990584i | \(-0.543715\pi\) |
0.720929 | + | 0.693009i | \(0.243715\pi\) | |||||||
\(422\) | 10.5387 | − | 0.552311i | 0.513017 | − | 0.0268861i | ||||
\(423\) | −3.81598 | + | 1.46482i | −0.185540 | + | 0.0712219i | ||||
\(424\) | 9.74827 | + | 1.54397i | 0.473418 | + | 0.0749820i | ||||
\(425\) | −1.02949 | − | 0.926953i | −0.0499374 | − | 0.0449638i | ||||
\(426\) | 7.12931 | + | 7.91790i | 0.345416 | + | 0.383623i | ||||
\(427\) | 4.03588 | − | 10.5138i | 0.195310 | − | 0.508800i | ||||
\(428\) | 22.6587 | 1.09525 | ||||||||
\(429\) | −5.06608 | − | 10.8321i | −0.244593 | − | 0.522980i | ||||
\(430\) | −61.8573 | −2.98302 | ||||||||
\(431\) | −3.48283 | + | 9.07309i | −0.167762 | + | 0.437036i | −0.991528 | − | 0.129895i | \(-0.958536\pi\) |
0.823766 | + | 0.566931i | \(0.191869\pi\) | |||||||
\(432\) | 2.06982 | + | 2.29877i | 0.0995844 | + | 0.110600i | ||||
\(433\) | −8.47916 | − | 7.63467i | −0.407482 | − | 0.366899i | 0.439751 | − | 0.898120i | \(-0.355067\pi\) |
−0.847233 | + | 0.531221i | \(0.821733\pi\) | |||||||
\(434\) | 3.53971 | + | 0.560636i | 0.169912 | + | 0.0269114i | ||||
\(435\) | 21.5403 | − | 8.26854i | 1.03278 | − | 0.396446i | ||||
\(436\) | 47.4520 | − | 2.48685i | 2.27254 | − | 0.119099i | ||||
\(437\) | 3.73866 | − | 1.90494i | 0.178844 | − | 0.0911257i | ||||
\(438\) | −0.286624 | + | 2.72705i | −0.0136954 | + | 0.130303i | ||||
\(439\) | −7.12308 | + | 12.3375i | −0.339966 | + | 0.588839i | −0.984426 | − | 0.175800i | \(-0.943749\pi\) |
0.644460 | + | 0.764638i | \(0.277082\pi\) | |||||||
\(440\) | −3.84596 | − | 6.24260i | −0.183349 | − | 0.297604i | ||||
\(441\) | 13.5521i | 0.645340i | ||||||||
\(442\) | 0.967568 | + | 3.76066i | 0.0460225 | + | 0.178876i | ||||
\(443\) | −7.75339 | + | 23.8625i | −0.368374 | + | 1.13374i | 0.579466 | + | 0.814996i | \(0.303261\pi\) |
−0.947841 | + | 0.318744i | \(0.896739\pi\) | |||||||
\(444\) | −6.94802 | − | 10.6990i | −0.329739 | − | 0.507753i | ||||
\(445\) | −3.50962 | − | 33.3918i | −0.166372 | − | 1.58292i | ||||
\(446\) | 0.550209 | + | 0.244969i | 0.0260531 | + | 0.0115996i | ||||
\(447\) | 4.10219 | + | 2.09017i | 0.194027 | + | 0.0988617i | ||||
\(448\) | −26.4226 | + | 40.6873i | −1.24835 | + | 1.92229i | ||||
\(449\) | −0.474922 | − | 0.586480i | −0.0224130 | − | 0.0276777i | 0.765816 | − | 0.643059i | \(-0.222335\pi\) |
−0.788229 | + | 0.615382i | \(0.789002\pi\) | |||||||
\(450\) | 3.98453 | + | 3.98453i | 0.187833 | + | 0.187833i | ||||
\(451\) | −6.65199 | − | 35.4196i | −0.313230 | − | 1.66784i | ||||
\(452\) | −10.6343 | − | 6.13973i | −0.500197 | − | 0.288789i | ||||
\(453\) | 15.3434 | + | 5.88979i | 0.720897 | + | 0.276726i | ||||
\(454\) | −47.2709 | − | 15.3592i | −2.21853 | − | 0.720844i | ||||
\(455\) | −27.0113 | + | 36.4086i | −1.26631 | + | 1.70686i | ||||
\(456\) | 1.61309 | − | 1.17198i | 0.0755400 | − | 0.0548830i | ||||
\(457\) | −28.4037 | − | 23.0009i | −1.32867 | − | 1.07594i | −0.990885 | − | 0.134713i | \(-0.956989\pi\) |
−0.337786 | − | 0.941223i | \(-0.609678\pi\) | |||||||
\(458\) | −8.70225 | + | 40.9409i | −0.406630 | + | 1.91304i | ||||
\(459\) | 0.503312 | − | 0.106982i | 0.0234926 | − | 0.00499351i | ||||
\(460\) | −1.73274 | − | 10.9401i | −0.0807894 | − | 0.510084i | ||||
\(461\) | −26.1465 | − | 7.00593i | −1.21776 | − | 0.326299i | −0.407960 | − | 0.913000i | \(-0.633760\pi\) |
−0.809804 | + | 0.586701i | \(0.800426\pi\) | |||||||
\(462\) | −19.2175 | − | 24.9215i | −0.894077 | − | 1.15945i | ||||
\(463\) | 24.3474 | − | 24.3474i | 1.13152 | − | 1.13152i | 0.141594 | − | 0.989925i | \(-0.454777\pi\) |
0.989925 | − | 0.141594i | \(-0.0452228\pi\) | |||||||
\(464\) | 25.5923 | + | 2.68986i | 1.18809 | + | 0.124874i | ||||
\(465\) | 0.778469 | − | 0.700937i | 0.0361006 | − | 0.0325052i | ||||
\(466\) | −43.6035 | + | 28.3164i | −2.01989 | + | 1.31173i | ||||
\(467\) | 11.9010 | + | 16.3803i | 0.550712 | + | 0.757990i | 0.990109 | − | 0.140303i | \(-0.0448077\pi\) |
−0.439397 | + | 0.898293i | \(0.644808\pi\) | |||||||
\(468\) | −1.70092 | − | 8.41401i | −0.0786249 | − | 0.388938i | ||||
\(469\) | −44.2540 | + | 14.3790i | −2.04346 | + | 0.663960i | ||||
\(470\) | −23.6954 | − | 1.24182i | −1.09299 | − | 0.0572810i | ||||
\(471\) | 1.51287 | − | 0.673574i | 0.0697094 | − | 0.0310366i | ||||
\(472\) | −3.31483 | − | 5.74145i | −0.152577 | − | 0.264272i | ||||
\(473\) | 25.5776 | − | 24.3884i | 1.17606 | − | 1.12138i | ||||
\(474\) | −3.97276 | + | 14.8266i | −0.182475 | + | 0.681006i | ||||
\(475\) | −5.23366 | + | 4.23814i | −0.240137 | + | 0.194459i | ||||
\(476\) | 2.52137 | + | 4.94847i | 0.115567 | + | 0.226813i | ||||
\(477\) | 8.28526 | − | 9.20171i | 0.379356 | − | 0.421317i | ||||
\(478\) | −14.6022 | + | 1.53475i | −0.667889 | + | 0.0701980i | ||||
\(479\) | 8.52938 | − | 10.5329i | 0.389717 | − | 0.481261i | −0.544095 | − | 0.839023i | \(-0.683127\pi\) |
0.933813 | + | 0.357763i | \(0.116460\pi\) | |||||||
\(480\) | 6.91525 | + | 21.2829i | 0.315636 | + | 0.971429i | ||||
\(481\) | −0.818613 | − | 19.3021i | −0.0373256 | − | 0.880101i | ||||
\(482\) | 37.8547 | + | 27.5030i | 1.72423 | + | 1.25273i | ||||
\(483\) | −1.96821 | − | 7.34544i | −0.0895564 | − | 0.334229i | ||||
\(484\) | 25.3288 | + | 6.65758i | 1.15131 | + | 0.302617i | ||||
\(485\) | 6.96025 | − | 4.01850i | 0.316049 | − | 0.182471i | ||||
\(486\) | −2.06728 | + | 0.327424i | −0.0937735 | + | 0.0148523i | ||||
\(487\) | −2.52703 | − | 1.64107i | −0.114511 | − | 0.0743640i | 0.486113 | − | 0.873896i | \(-0.338414\pi\) |
−0.600624 | + | 0.799532i | \(0.705081\pi\) | |||||||
\(488\) | 0.103632 | + | 1.97741i | 0.00469120 | + | 0.0895134i | ||||
\(489\) | 1.22804 | − | 7.75353i | 0.0555338 | − | 0.350627i | ||||
\(490\) | −31.9982 | + | 71.8692i | −1.44553 | + | 3.24672i | ||||
\(491\) | −15.1499 | − | 3.22021i | −0.683705 | − | 0.145326i | −0.147052 | − | 0.989129i | \(-0.546978\pi\) |
−0.536653 | + | 0.843803i | \(0.680312\pi\) | |||||||
\(492\) | 1.35395 | − | 25.8349i | 0.0610408 | − | 1.16473i | ||||
\(493\) | 2.51608 | − | 3.46309i | 0.113319 | − | 0.155970i | ||||
\(494\) | 18.7926 | − | 1.78585i | 0.845519 | − | 0.0803493i | ||||
\(495\) | −9.19602 | − | 0.218873i | −0.413330 | − | 0.00983762i | ||||
\(496\) | 1.12852 | − | 0.302385i | 0.0506718 | − | 0.0135775i | ||||
\(497\) | 9.38642 | + | 21.0822i | 0.421038 | + | 0.945668i | ||||
\(498\) | −3.27655 | − | 15.4149i | −0.146826 | − | 0.690760i | ||||
\(499\) | −0.951412 | + | 1.86725i | −0.0425910 | + | 0.0835896i | −0.911321 | − | 0.411696i | \(-0.864937\pi\) |
0.868730 | + | 0.495286i | \(0.164937\pi\) | |||||||
\(500\) | −5.46103 | − | 14.2265i | −0.244225 | − | 0.636228i | ||||
\(501\) | 5.32870 | + | 13.8817i | 0.238069 | + | 0.620190i | ||||
\(502\) | 5.26333 | − | 10.3299i | 0.234914 | − | 0.461045i | ||||
\(503\) | −4.78072 | − | 22.4915i | −0.213162 | − | 1.00285i | −0.946430 | − | 0.322909i | \(-0.895339\pi\) |
0.733268 | − | 0.679940i | \(-0.237994\pi\) | |||||||
\(504\) | −1.46979 | − | 3.30120i | −0.0654695 | − | 0.147047i | ||||
\(505\) | −16.3122 | + | 4.37083i | −0.725882 | + | 0.194499i | ||||
\(506\) | 9.25506 | + | 7.06668i | 0.411438 | + | 0.314152i | ||||
\(507\) | 4.26306 | − | 12.2811i | 0.189329 | − | 0.545425i | ||||
\(508\) | −11.0982 | + | 15.2754i | −0.492403 | + | 0.677735i | ||||
\(509\) | −0.400980 | + | 7.65115i | −0.0177731 | + | 0.339131i | 0.975242 | + | 0.221142i | \(0.0709783\pi\) |
−0.993015 | + | 0.117990i | \(0.962355\pi\) | |||||||
\(510\) | 2.92174 | + | 0.621036i | 0.129377 | + | 0.0274999i | ||||
\(511\) | −2.41569 | + | 5.42574i | −0.106864 | + | 0.240021i | ||||
\(512\) | −4.67582 | + | 29.5220i | −0.206644 | + | 1.30470i | ||||
\(513\) | −0.130915 | − | 2.49801i | −0.00578004 | − | 0.110290i | ||||
\(514\) | 38.4690 | + | 24.9821i | 1.69680 | + | 1.10191i | ||||
\(515\) | 28.8425 | − | 4.56820i | 1.27095 | − | 0.201299i | ||||
\(516\) | 21.9708 | − | 12.6848i | 0.967210 | − | 0.558419i | ||||
\(517\) | 10.2875 | − | 8.82886i | 0.452444 | − | 0.388293i | ||||
\(518\) | −13.1591 | − | 49.1105i | −0.578178 | − | 2.15779i | ||||
\(519\) | 7.80079 | + | 5.66761i | 0.342417 | + | 0.248780i | ||||
\(520\) | 1.73494 | − | 7.77986i | 0.0760823 | − | 0.341169i | ||||
\(521\) | −2.55409 | − | 7.86069i | −0.111897 | − | 0.344383i | 0.879390 | − | 0.476102i | \(-0.157951\pi\) |
−0.991287 | + | 0.131718i | \(0.957951\pi\) | |||||||
\(522\) | −10.9578 | + | 13.5318i | −0.479610 | + | 0.592269i | ||||
\(523\) | −22.7374 | + | 2.38979i | −0.994236 | + | 0.104498i | −0.587651 | − | 0.809115i | \(-0.699947\pi\) |
−0.406585 | + | 0.913613i | \(0.633280\pi\) | |||||||
\(524\) | −21.0029 | + | 23.3260i | −0.917515 | + | 1.01900i | ||||
\(525\) | 5.54101 | + | 10.8748i | 0.241830 | + | 0.474617i | ||||
\(526\) | 5.97961 | − | 4.84219i | 0.260723 | − | 0.211130i | ||||
\(527\) | 0.0503003 | − | 0.187723i | 0.00219112 | − | 0.00817736i | ||||
\(528\) | −9.02771 | − | 4.87382i | −0.392881 | − | 0.212106i | ||||
\(529\) | −10.0931 | − | 17.4818i | −0.438831 | − | 0.760077i | ||||
\(530\) | 65.6644 | − | 29.2357i | 2.85228 | − | 1.26992i | ||||
\(531\) | −8.30582 | − | 0.435290i | −0.360442 | − | 0.0188900i | ||||
\(532\) | 25.6775 | − | 8.34313i | 1.11326 | − | 0.361720i | ||||
\(533\) | 21.6647 | − | 32.6432i | 0.938403 | − | 1.41393i | ||||
\(534\) | 14.8935 | + | 20.4991i | 0.644504 | + | 0.887084i | ||||
\(535\) | 22.1373 | − | 14.3761i | 0.957078 | − | 0.621534i | ||||
\(536\) | 6.08000 | − | 5.47446i | 0.262616 | − | 0.236460i | ||||
\(537\) | −17.0051 | − | 1.78731i | −0.733825 | − | 0.0771282i | ||||
\(538\) | −30.5839 | + | 30.5839i | −1.31857 | + | 1.31857i | ||||
\(539\) | −15.1047 | − | 42.3333i | −0.650604 | − | 1.82343i | ||||
\(540\) | −6.37821 | − | 1.70904i | −0.274475 | − | 0.0735453i | ||||
\(541\) | 3.60832 | + | 22.7820i | 0.155134 | + | 0.979475i | 0.935288 | + | 0.353888i | \(0.115141\pi\) |
−0.780154 | + | 0.625587i | \(0.784859\pi\) | |||||||
\(542\) | 59.6765 | − | 12.6846i | 2.56333 | − | 0.544852i | ||||
\(543\) | 0.208009 | − | 0.978605i | 0.00892652 | − | 0.0419960i | ||||
\(544\) | 3.22652 | + | 2.61279i | 0.138336 | + | 0.112022i | ||||
\(545\) | 44.7822 | − | 32.5361i | 1.91826 | − | 1.39370i | ||||
\(546\) | 3.91533 | − | 33.9872i | 0.167561 | − | 1.45452i | ||||
\(547\) | 43.5062 | + | 14.1360i | 1.86019 | + | 0.604413i | 0.994615 | + | 0.103635i | \(0.0330474\pi\) |
0.865576 | + | 0.500778i | \(0.166953\pi\) | |||||||
\(548\) | −5.67108 | − | 2.17693i | −0.242257 | − | 0.0929937i | ||||
\(549\) | 2.15135 | + | 1.24208i | 0.0918174 | + | 0.0530108i | ||||
\(550\) | −16.8876 | − | 8.00564i | −0.720092 | − | 0.341362i | ||||
\(551\) | −14.7146 | − | 14.7146i | −0.626861 | − | 0.626861i | ||||
\(552\) | 0.841454 | + | 1.03911i | 0.0358146 | + | 0.0442274i | ||||
\(553\) | −18.1074 | + | 27.8829i | −0.770003 | + | 1.18570i | ||||
\(554\) | −16.9888 | − | 8.65621i | −0.721783 | − | 0.367767i | ||||
\(555\) | −13.5763 | − | 6.04454i | −0.576280 | − | 0.256577i | ||||
\(556\) | −0.505706 | − | 4.81147i | −0.0214467 | − | 0.204052i | ||||
\(557\) | 24.9425 | + | 38.4081i | 1.05685 | + | 1.62740i | 0.731542 | + | 0.681797i | \(0.238801\pi\) |
0.325307 | + | 0.945608i | \(0.394532\pi\) | |||||||
\(558\) | −0.244288 | + | 0.751841i | −0.0103415 | + | 0.0318280i | ||||
\(559\) | 38.4181 | + | 0.383223i | 1.62491 | + | 0.0162086i | ||||
\(560\) | 38.8935i | 1.64355i | ||||||||
\(561\) | −1.45298 | + | 0.895157i | −0.0613448 | + | 0.0377936i | ||||
\(562\) | −26.8869 | + | 46.5695i | −1.13416 | + | 1.96442i | ||||
\(563\) | −1.10173 | + | 10.4822i | −0.0464323 | + | 0.441774i | 0.946466 | + | 0.322805i | \(0.104626\pi\) |
−0.992898 | + | 0.118969i | \(0.962041\pi\) | |||||||
\(564\) | 8.67091 | − | 4.41805i | 0.365111 | − | 0.186033i | ||||
\(565\) | −14.2850 | + | 0.748647i | −0.600976 | + | 0.0314958i | ||||
\(566\) | −37.4104 | + | 14.3605i | −1.57247 | + | 0.603616i | ||||
\(567\) | −4.47763 | − | 0.709187i | −0.188043 | − | 0.0297831i | ||||
\(568\) | −3.01540 | − | 2.71507i | −0.126523 | − | 0.113922i | ||||
\(569\) | −8.48853 | − | 9.42747i | −0.355858 | − | 0.395220i | 0.538461 | − | 0.842650i | \(-0.319006\pi\) |
−0.894319 | + | 0.447430i | \(0.852339\pi\) | |||||||
\(570\) | 5.20383 | − | 13.5564i | 0.217964 | − | 0.567817i | ||||
\(571\) | −46.3542 | −1.93986 | −0.969932 | − | 0.243376i | \(-0.921745\pi\) | ||||
−0.969932 | + | 0.243376i | \(0.921745\pi\) | |||||||
\(572\) | 14.6912 | + | 24.3874i | 0.614268 | + | 1.01969i | ||||
\(573\) | 20.3999 | 0.852219 | ||||||||
\(574\) | 36.9496 | − | 96.2570i | 1.54225 | − | 4.01769i | ||||
\(575\) | −3.02183 | − | 3.35609i | −0.126019 | − | 0.139958i | ||||
\(576\) | −7.95266 | − | 7.16061i | −0.331361 | − | 0.298359i | ||||
\(577\) | 17.4741 | + | 2.76763i | 0.727456 | + | 0.115218i | 0.509169 | − | 0.860667i | \(-0.329953\pi\) |
0.218288 | + | 0.975884i | \(0.429953\pi\) | |||||||
\(578\) | −32.7011 | + | 12.5528i | −1.36018 | + | 0.522126i | ||||
\(579\) | 0.793025 | − | 0.0415607i | 0.0329570 | − | 0.00172720i | ||||
\(580\) | −48.9451 | + | 24.9388i | −2.03234 | + | 1.03553i | ||||
\(581\) | 3.56798 | − | 33.9470i | 0.148025 | − | 1.40836i | ||||
\(582\) | −3.03261 | + | 5.25263i | −0.125706 | + | 0.217728i | ||||
\(583\) | −15.6251 | + | 37.9782i | −0.647127 | + | 1.57290i | ||||
\(584\) | − | 1.04427i | − | 0.0432122i | ||||||
\(585\) | −7.00015 | − | 7.14122i | −0.289421 | − | 0.295253i | ||||
\(586\) | 16.4933 | − | 50.7610i | 0.681330 | − | 2.09692i | ||||
\(587\) | 3.59116 | + | 5.52990i | 0.148223 | + | 0.228243i | 0.904981 | − | 0.425451i | \(-0.139885\pi\) |
−0.756758 | + | 0.653695i | \(0.773218\pi\) | |||||||
\(588\) | −3.37265 | − | 32.0886i | −0.139086 | − | 1.32331i | ||||
\(589\) | −0.863099 | − | 0.384276i | −0.0355634 | − | 0.0158338i | ||||
\(590\) | −43.0193 | − | 21.9194i | −1.77108 | − | 0.902409i | ||||
\(591\) | 3.30729 | − | 5.09278i | 0.136044 | − | 0.209489i | ||||
\(592\) | −10.4308 | − | 12.8810i | −0.428703 | − | 0.529404i | ||||
\(593\) | 7.84831 | + | 7.84831i | 0.322292 | + | 0.322292i | 0.849646 | − | 0.527354i | \(-0.176816\pi\) |
−0.527354 | + | 0.849646i | \(0.676816\pi\) | |||||||
\(594\) | 6.09270 | − | 3.32689i | 0.249986 | − | 0.136504i | ||||
\(595\) | 5.60297 | + | 3.23488i | 0.229699 | + | 0.132617i | ||||
\(596\) | −10.2333 | − | 3.92820i | −0.419172 | − | 0.160905i | ||||
\(597\) | 16.1215 | + | 5.23819i | 0.659809 | + | 0.214385i | ||||
\(598\) | 1.85548 | + | 12.5222i | 0.0758761 | + | 0.512070i | ||||
\(599\) | −18.3415 | + | 13.3259i | −0.749412 | + | 0.544480i | −0.895645 | − | 0.444770i | \(-0.853285\pi\) |
0.146232 | + | 0.989250i | \(0.453285\pi\) | |||||||
\(600\) | −1.66774 | − | 1.35051i | −0.0680853 | − | 0.0551344i | ||||
\(601\) | −1.95434 | + | 9.19443i | −0.0797191 | + | 0.375049i | −0.999863 | − | 0.0165308i | \(-0.994738\pi\) |
0.920144 | + | 0.391579i | \(0.128071\pi\) | |||||||
\(602\) | 98.9002 | − | 21.0219i | 4.03087 | − | 0.856788i | ||||
\(603\) | −1.60565 | − | 10.1377i | −0.0653870 | − | 0.412837i | ||||
\(604\) | −37.7958 | − | 10.1273i | −1.53789 | − | 0.412076i | ||||
\(605\) | 28.9699 | − | 9.56582i | 1.17779 | − | 0.388906i | ||||
\(606\) | 9.01165 | − | 9.01165i | 0.366073 | − | 0.366073i | ||||
\(607\) | 30.8008 | + | 3.23729i | 1.25016 | + | 0.131398i | 0.706383 | − | 0.707829i | \(-0.250325\pi\) |
0.543781 | + | 0.839227i | \(0.316992\pi\) | |||||||
\(608\) | 14.9990 | − | 13.5051i | 0.608289 | − | 0.547706i | ||||
\(609\) | −31.6295 | + | 20.5405i | −1.28169 | + | 0.832342i | ||||
\(610\) | 8.47626 | + | 11.6666i | 0.343194 | + | 0.472366i | ||||
\(611\) | 14.7090 | + | 0.918067i | 0.595061 | + | 0.0371410i | ||||
\(612\) | −1.16511 | + | 0.378568i | −0.0470969 | + | 0.0153027i | ||||
\(613\) | −17.2236 | − | 0.902650i | −0.695655 | − | 0.0364577i | −0.298769 | − | 0.954326i | \(-0.596576\pi\) |
−0.396886 | + | 0.917868i | \(0.629909\pi\) | |||||||
\(614\) | −14.2154 | + | 6.32909i | −0.573686 | + | 0.255421i | ||||
\(615\) | −15.0685 | − | 26.0994i | −0.607621 | − | 1.05243i | ||||
\(616\) | 8.27062 | + | 8.67391i | 0.333233 | + | 0.349482i | ||||
\(617\) | −7.38228 | + | 27.5510i | −0.297199 | + | 1.10916i | 0.642256 | + | 0.766490i | \(0.277999\pi\) |
−0.939455 | + | 0.342672i | \(0.888668\pi\) | |||||||
\(618\) | −17.1265 | + | 13.8687i | −0.688927 | + | 0.557882i | ||||
\(619\) | −5.57404 | − | 10.9397i | −0.224040 | − | 0.439703i | 0.751437 | − | 0.659805i | \(-0.229361\pi\) |
−0.975477 | + | 0.220102i | \(0.929361\pi\) | |||||||
\(620\) | −1.66881 | + | 1.85340i | −0.0670211 | + | 0.0744345i | ||||
\(621\) | 1.66825 | − | 0.175340i | 0.0669444 | − | 0.00703614i | ||||
\(622\) | −1.09666 | + | 1.35427i | −0.0439722 | + | 0.0543012i | ||||
\(623\) | 16.9594 | + | 52.1956i | 0.679463 | + | 2.09117i | ||||
\(624\) | −3.34051 | − | 10.6410i | −0.133727 | − | 0.425982i | ||||
\(625\) | −25.2519 | − | 18.3466i | −1.01008 | − | 0.733863i | ||||
\(626\) | −2.83886 | − | 10.5948i | −0.113463 | − | 0.423451i | ||||
\(627\) | 3.19312 | + | 7.65721i | 0.127521 | + | 0.305799i | ||||
\(628\) | −3.41453 | + | 1.97138i | −0.136255 | + | 0.0786667i | ||||
\(629\) | −2.72318 | + | 0.431310i | −0.108580 | + | 0.0171974i | ||||
\(630\) | −22.0711 | − | 14.3332i | −0.879335 | − | 0.571047i | ||||
\(631\) | 0.262041 | + | 5.00005i | 0.0104317 | + | 0.199049i | 0.998874 | + | 0.0474490i | \(0.0151092\pi\) |
−0.988442 | + | 0.151600i | \(0.951558\pi\) | |||||||
\(632\) | 0.914457 | − | 5.77365i | 0.0363751 | − | 0.229664i | ||||
\(633\) | −2.05078 | + | 4.60612i | −0.0815111 | + | 0.183077i | ||||
\(634\) | 32.6631 | + | 6.94276i | 1.29722 | + | 0.275732i | ||||
\(635\) | −1.15115 | + | 21.9652i | −0.0456820 | + | 0.871664i | ||||
\(636\) | −17.3278 | + | 23.8496i | −0.687091 | + | 0.945699i | ||||
\(637\) | 20.3186 | − | 44.4380i | 0.805052 | − | 1.76070i | ||||
\(638\) | 19.1474 | − | 54.4828i | 0.758051 | − | 2.15700i | ||||
\(639\) | −4.91702 | + | 1.31751i | −0.194514 | + | 0.0521199i | ||||
\(640\) | −7.06312 | − | 15.8640i | −0.279194 | − | 0.627081i | ||||
\(641\) | 0.750541 | + | 3.53102i | 0.0296446 | + | 0.139467i | 0.990481 | − | 0.137649i | \(-0.0439547\pi\) |
−0.960836 | + | 0.277116i | \(0.910621\pi\) | |||||||
\(642\) | −9.04340 | + | 17.7487i | −0.356914 | + | 0.700484i | ||||
\(643\) | 1.39597 | + | 3.63661i | 0.0550515 | + | 0.143414i | 0.958348 | − | 0.285602i | \(-0.0921936\pi\) |
−0.903297 | + | 0.429016i | \(0.858860\pi\) | |||||||
\(644\) | 6.48832 | + | 16.9026i | 0.255676 | + | 0.666058i | ||||
\(645\) | 13.4171 | − | 26.3326i | 0.528298 | − | 1.03684i | ||||
\(646\) | −0.560118 | − | 2.63515i | −0.0220375 | − | 0.103678i | ||||
\(647\) | −6.67379 | − | 14.9896i | −0.262374 | − | 0.589301i | 0.733536 | − | 0.679650i | \(-0.237868\pi\) |
−0.995910 | + | 0.0903488i | \(0.971202\pi\) | |||||||
\(648\) | 0.769939 | − | 0.206305i | 0.0302461 | − | 0.00810441i | ||||
\(649\) | 26.4304 | − | 7.89761i | 1.03748 | − | 0.310008i | ||||
\(650\) | −7.09148 | − | 19.0394i | −0.278151 | − | 0.746788i | ||||
\(651\) | −1.00644 | + | 1.38525i | −0.0394456 | + | 0.0542921i | ||||
\(652\) | −0.978157 | + | 18.6644i | −0.0383076 | + | 0.730952i | ||||
\(653\) | 2.55810 | + | 0.543741i | 0.100106 | + | 0.0212782i | 0.257692 | − | 0.966227i | \(-0.417038\pi\) |
−0.157586 | + | 0.987505i | \(0.550371\pi\) | |||||||
\(654\) | −16.9908 | + | 38.1618i | −0.664391 | + | 1.49225i | ||||
\(655\) | −5.72002 | + | 36.1148i | −0.223500 | + | 1.41112i | ||||
\(656\) | −1.75912 | − | 33.5661i | −0.0686822 | − | 1.31053i | ||||
\(657\) | −1.09873 | − | 0.713525i | −0.0428656 | − | 0.0278373i | ||||
\(658\) | 38.3073 | − | 6.06728i | 1.49337 | − | 0.236527i | ||||
\(659\) | −4.12975 | + | 2.38431i | −0.160872 | + | 0.0928796i | −0.578275 | − | 0.815842i | \(-0.696274\pi\) |
0.417403 | + | 0.908722i | \(0.362941\pi\) | |||||||
\(660\) | 21.8287 | − | 1.77032i | 0.849681 | − | 0.0689096i | ||||
\(661\) | −9.33500 | − | 34.8387i | −0.363090 | − | 1.35507i | −0.869992 | − | 0.493065i | \(-0.835876\pi\) |
0.506903 | − | 0.862003i | \(-0.330790\pi\) | |||||||
\(662\) | −34.9840 | − | 25.4174i | −1.35969 | − | 0.987874i | ||||
\(663\) | −1.81078 | − | 0.403812i | −0.0703249 | − | 0.0156828i | ||||
\(664\) | 1.85462 | + | 5.70792i | 0.0719731 | + | 0.221510i | ||||
\(665\) | 19.7932 | − | 24.4426i | 0.767547 | − | 0.947841i | ||||
\(666\) | 11.1536 | − | 1.17229i | 0.432194 | − | 0.0454255i | ||||
\(667\) | 9.33748 | − | 10.3703i | 0.361549 | − | 0.401540i | ||||
\(668\) | −16.0719 | − | 31.5429i | −0.621841 | − | 1.22043i | ||||
\(669\) | −0.223626 | + | 0.181088i | −0.00864587 | + | 0.00700129i | ||||
\(670\) | 15.4212 | − | 57.5527i | 0.595773 | − | 2.22346i | ||||
\(671\) | −8.10464 | − | 1.48213i | −0.312876 | − | 0.0572171i | ||||
\(672\) | −18.2893 | − | 31.6780i | −0.705526 | − | 1.22201i | ||||
\(673\) | −42.6818 | + | 19.0032i | −1.64526 | + | 0.732518i | −0.999518 | − | 0.0310356i | \(-0.990119\pi\) |
−0.645744 | + | 0.763554i | \(0.723453\pi\) | |||||||
\(674\) | −55.6271 | − | 2.91529i | −2.14268 | − | 0.112293i | ||||
\(675\) | −2.56047 | + | 0.831948i | −0.0985527 | + | 0.0320217i | ||||
\(676\) | −7.03768 | + | 30.1401i | −0.270680 | + | 1.15923i | ||||
\(677\) | −8.57387 | − | 11.8009i | −0.329521 | − | 0.453546i | 0.611824 | − | 0.790994i | \(-0.290436\pi\) |
−0.941344 | + | 0.337448i | \(0.890436\pi\) | |||||||
\(678\) | 9.05358 | − | 5.87946i | 0.347701 | − | 0.225799i | ||||
\(679\) | −9.76269 | + | 8.79037i | −0.374658 | + | 0.337343i | ||||
\(680\) | −1.13132 | − | 0.118907i | −0.0433842 | − | 0.00455987i | ||||
\(681\) | 16.7917 | − | 16.7917i | 0.643458 | − | 0.643458i | ||||
\(682\) | −0.0748805 | − | 2.62083i | −0.00286732 | − | 0.100357i | ||||
\(683\) | 17.2209 | + | 4.61432i | 0.658939 | + | 0.176562i | 0.572767 | − | 0.819718i | \(-0.305870\pi\) |
0.0861716 | + | 0.996280i | \(0.472537\pi\) | |||||||
\(684\) | 0.931645 | + | 5.88217i | 0.0356223 | + | 0.224911i | ||||
\(685\) | −6.92176 | + | 1.47126i | −0.264467 | + | 0.0562141i | ||||
\(686\) | 12.9261 | − | 60.8126i | 0.493522 | − | 2.32184i | ||||
\(687\) | −15.5409 | − | 12.5848i | −0.592924 | − | 0.480140i | ||||
\(688\) | 26.6665 | − | 19.3743i | 1.01665 | − | 0.738640i | ||||
\(689\) | −40.9638 | + | 17.7508i | −1.56060 | + | 0.676251i | ||||
\(690\) | 9.26098 | + | 3.00907i | 0.352559 | + | 0.114553i | ||||
\(691\) | −21.2616 | − | 8.16157i | −0.808830 | − | 0.310481i | −0.0814165 | − | 0.996680i | \(-0.525944\pi\) |
−0.727413 | + | 0.686199i | \(0.759278\pi\) | |||||||
\(692\) | −19.8811 | − | 11.4784i | −0.755766 | − | 0.436342i | ||||
\(693\) | 14.7774 | − | 2.77528i | 0.561347 | − | 0.105424i | ||||
\(694\) | 42.7082 | + | 42.7082i | 1.62118 | + | 1.62118i | ||||
\(695\) | −3.54677 | − | 4.37989i | −0.134537 | − | 0.166139i | ||||
\(696\) | 3.61156 | − | 5.56131i | 0.136896 | − | 0.210801i | ||||
\(697\) | −4.98182 | − | 2.53836i | −0.188700 | − | 0.0961473i | ||||
\(698\) | −24.1126 | − | 10.7356i | −0.912677 | − | 0.406350i | ||||
\(699\) | −2.59648 | − | 24.7039i | −0.0982081 | − | 0.934387i | ||||
\(700\) | −15.8263 | − | 24.3704i | −0.598179 | − | 0.921115i | ||||
\(701\) | −4.53797 | + | 13.9664i | −0.171397 | + | 0.527505i | −0.999451 | − | 0.0331435i | \(-0.989448\pi\) |
0.828054 | + | 0.560649i | \(0.189448\pi\) | |||||||
\(702\) | 7.26959 | + | 2.02581i | 0.274373 | + | 0.0764593i | ||||
\(703\) | 13.4033i | 0.505516i | ||||||||
\(704\) | 32.8230 | + | 13.5042i | 1.23706 | + | 0.508957i | ||||
\(705\) | 5.66828 | − | 9.81775i | 0.213480 | − | 0.369758i | ||||
\(706\) | 1.91680 | − | 18.2371i | 0.0721396 | − | 0.686362i | ||||
\(707\) | 24.5952 | − | 12.5319i | 0.924998 | − | 0.471310i | ||||
\(708\) | 19.7748 | − | 1.03635i | 0.743181 | − | 0.0389485i | ||||
\(709\) | 32.0510 | − | 12.3032i | 1.20370 | − | 0.462057i | 0.327891 | − | 0.944716i | \(-0.393662\pi\) |
0.875808 | + | 0.482659i | \(0.160329\pi\) | |||||||
\(710\) | −29.1866 | − | 4.62270i | −1.09535 | − | 0.173487i | ||||
\(711\) | −5.44994 | − | 4.90715i | −0.204389 | − | 0.184032i | ||||
\(712\) | −6.45688 | − | 7.17109i | −0.241982 | − | 0.268748i | ||||
\(713\) | 0.227047 | − | 0.591478i | 0.00850299 | − | 0.0221510i | ||||
\(714\) | −4.88247 | −0.182722 | ||||||||
\(715\) | 29.8260 | + | 14.5052i | 1.11543 | + | 0.542464i | ||||
\(716\) | 40.7094 | 1.52138 | ||||||||
\(717\) | 2.51394 | − | 6.54904i | 0.0938848 | − | 0.244578i | ||||
\(718\) | 13.7635 | + | 15.2859i | 0.513650 | + | 0.570466i | ||||
\(719\) | 8.32209 | + | 7.49325i | 0.310362 | + | 0.279451i | 0.809560 | − | 0.587037i | \(-0.199706\pi\) |
−0.499199 | + | 0.866488i | \(0.666372\pi\) | |||||||
\(720\) | −8.47361 | − | 1.34209i | −0.315793 | − | 0.0500167i | ||||
\(721\) | −44.5622 | + | 17.1058i | −1.65958 | + | 0.637054i | ||||
\(722\) | 26.6347 | − | 1.39587i | 0.991243 | − | 0.0519488i | ||||
\(723\) | −19.9189 | + | 10.1492i | −0.740790 | + | 0.377451i | ||||
\(724\) | −0.248981 | + | 2.36890i | −0.00925332 | + | 0.0880394i | ||||
\(725\) | −11.1984 | + | 19.3962i | −0.415899 | + | 0.720358i | ||||
\(726\) | −15.3240 | + | 17.1830i | −0.568726 | + | 0.637722i | ||||
\(727\) | 30.9093i | 1.14636i | 0.819428 | + | 0.573182i | \(0.194291\pi\) | ||||
−0.819428 | + | 0.573182i | \(0.805709\pi\) | |||||||
\(728\) | −0.129959 | + | 13.0284i | −0.00481661 | + | 0.482865i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −4.14204 | − | 6.37818i | −0.153304 | − | 0.236067i | ||||
\(731\) | −0.573131 | − | 5.45297i | −0.0211980 | − | 0.201685i | ||||
\(732\) | −5.40306 | − | 2.40560i | −0.199703 | − | 0.0889134i | ||||
\(733\) | 29.3320 | + | 14.9454i | 1.08340 | + | 0.552021i | 0.902153 | − | 0.431417i | \(-0.141986\pi\) |
0.181249 | + | 0.983437i | \(0.441986\pi\) | |||||||
\(734\) | 34.1220 | − | 52.5433i | 1.25947 | − | 1.93941i | ||||
\(735\) | −23.6541 | − | 29.2103i | −0.872493 | − | 1.07744i | ||||
\(736\) | 9.57039 | + | 9.57039i | 0.352769 | + | 0.352769i | ||||
\(737\) | 16.3146 | + | 29.8778i | 0.600958 | + | 1.10056i | ||||
\(738\) | 19.6962 | + | 11.3716i | 0.725028 | + | 0.418595i | ||||
\(739\) | −7.16019 | − | 2.74854i | −0.263392 | − | 0.101107i | 0.223089 | − | 0.974798i | \(-0.428386\pi\) |
−0.486480 | + | 0.873692i | \(0.661719\pi\) | |||||||
\(740\) | 33.6500 | + | 10.9336i | 1.23700 | + | 0.401925i | ||||
\(741\) | −3.31596 | + | 8.38735i | −0.121815 | + | 0.308117i | ||||
\(742\) | −95.0516 | + | 69.0590i | −3.48945 | + | 2.53524i | ||||
\(743\) | −21.9192 | − | 17.7498i | −0.804137 | − | 0.651177i | 0.136482 | − | 0.990643i | \(-0.456421\pi\) |
−0.940619 | + | 0.339465i | \(0.889754\pi\) | |||||||
\(744\) | 0.0625940 | − | 0.294482i | 0.00229481 | − | 0.0107962i | ||||
\(745\) | −12.4901 | + | 2.65485i | −0.457602 | + | 0.0972663i | ||||
\(746\) | −4.96452 | − | 31.3448i | −0.181764 | − | 1.14761i | ||||
\(747\) | 7.27282 | + | 1.94875i | 0.266099 | + | 0.0713009i | ||||
\(748\) | 3.21757 | − | 2.48114i | 0.117646 | − | 0.0907194i | ||||
\(749\) | −30.5084 | + | 30.5084i | −1.11475 | + | 1.11475i | ||||
\(750\) | 13.3232 | + | 1.40033i | 0.486496 | + | 0.0511327i | ||||
\(751\) | −20.2972 | + | 18.2756i | −0.740654 | + | 0.666888i | −0.950457 | − | 0.310856i | \(-0.899384\pi\) |
0.209803 | + | 0.977744i | \(0.432718\pi\) | |||||||
\(752\) | 10.6040 | − | 6.88630i | 0.386687 | − | 0.251117i | ||||
\(753\) | 3.25578 | + | 4.48119i | 0.118647 | + | 0.163304i | ||||
\(754\) | 56.2191 | − | 27.9423i | 2.04738 | − | 1.01760i | ||||
\(755\) | −43.3514 | + | 14.0857i | −1.57772 | + | 0.512632i | ||||
\(756\) | 10.7786 | + | 0.564882i | 0.392013 | + | 0.0205445i | ||||
\(757\) | −41.5244 | + | 18.4879i | −1.50923 | + | 0.671953i | −0.983863 | − | 0.178922i | \(-0.942739\pi\) |
−0.525368 | + | 0.850875i | \(0.676072\pi\) | |||||||
\(758\) | −11.1144 | − | 19.2508i | −0.403695 | − | 0.699220i | ||||
\(759\) | −5.01574 | + | 2.40708i | −0.182060 | + | 0.0873714i | ||||
\(760\) | −1.43128 | + | 5.34161i | −0.0519180 | + | 0.193760i | ||||
\(761\) | 8.91983 | − | 7.22314i | 0.323344 | − | 0.261839i | −0.453880 | − | 0.891063i | \(-0.649961\pi\) |
0.777224 | + | 0.629224i | \(0.216627\pi\) | |||||||
\(762\) | −7.53581 | − | 14.7899i | −0.272994 | − | 0.535780i | ||||
\(763\) | −60.5425 | + | 67.2392i | −2.19179 | + | 2.43422i | ||||
\(764\) | −48.3027 | + | 5.07682i | −1.74753 | + | 0.183673i | ||||
\(765\) | −0.898113 | + | 1.10908i | −0.0324714 | + | 0.0400988i | ||||
\(766\) | −7.44097 | − | 22.9010i | −0.268853 | − | 0.827445i | ||||
\(767\) | 26.5825 | + | 13.8802i | 0.959839 | + | 0.501184i | ||||
\(768\) | −6.71304 | − | 4.87731i | −0.242236 | − | 0.175995i | ||||
\(769\) | 13.4188 | + | 50.0797i | 0.483895 | + | 1.80592i | 0.584985 | + | 0.811044i | \(0.301100\pi\) |
−0.101090 | + | 0.994877i | \(0.532233\pi\) | |||||||
\(770\) | 84.9197 | + | 20.1735i | 3.06029 | + | 0.727001i | ||||
\(771\) | −18.9789 | + | 10.9575i | −0.683510 | + | 0.394625i | ||||
\(772\) | −1.86737 | + | 0.295763i | −0.0672083 | + | 0.0106447i | ||||
\(773\) | −8.97916 | − | 5.83113i | −0.322958 | − | 0.209731i | 0.372969 | − | 0.927844i | \(-0.378340\pi\) |
−0.695927 | + | 0.718112i | \(0.745006\pi\) | |||||||
\(774\) | 1.16725 | + | 22.2725i | 0.0419560 | + | 0.800568i | ||||
\(775\) | −0.159070 | + | 1.00433i | −0.00571396 | + | 0.0360765i | ||||
\(776\) | 0.939493 | − | 2.11014i | 0.0337258 | − | 0.0757495i | ||||
\(777\) | 23.7605 | + | 5.05046i | 0.852405 | + | 0.181184i | ||||
\(778\) | 0.717832 | − | 13.6970i | 0.0257355 | − | 0.491063i | ||||
\(779\) | −15.9765 | + | 21.9898i | −0.572417 | + | 0.787865i | ||||
\(780\) | 18.3521 | + | 15.1668i | 0.657110 | + | 0.543059i | ||||
\(781\) | 13.8910 | − | 9.59588i | 0.497061 | − | 0.343368i | ||||
\(782\) | 1.74502 | − | 0.467577i | 0.0624018 | − | 0.0167205i | ||||
\(783\) | −3.38366 | − | 7.59982i | −0.120922 | − | 0.271595i | ||||
\(784\) | −8.71583 | − | 41.0047i | −0.311280 | − | 1.46446i | ||||
\(785\) | −2.08519 | + | 4.09241i | −0.0744235 | + | 0.146064i | ||||
\(786\) | −9.88886 | − | 25.7614i | −0.352724 | − | 0.918877i | ||||
\(787\) | −9.63205 | − | 25.0923i | −0.343345 | − | 0.894445i | −0.991163 | − | 0.132650i | \(-0.957651\pi\) |
0.647818 | − | 0.761795i | \(-0.275682\pi\) | |||||||
\(788\) | −6.56355 | + | 12.8817i | −0.233817 | + | 0.458891i | ||||
\(789\) | 0.764312 | + | 3.59581i | 0.0272102 | + | 0.128014i | ||||
\(790\) | −17.3155 | − | 38.8913i | −0.616059 | − | 1.38369i | ||||
\(791\) | 22.5851 | − | 6.05167i | 0.803035 | − | 0.215173i | ||||
\(792\) | −2.17515 | + | 1.50259i | −0.0772906 | + | 0.0533921i | ||||
\(793\) | −5.19213 | − | 7.29835i | −0.184378 | − | 0.259172i | ||||
\(794\) | −24.3370 | + | 33.4970i | −0.863687 | + | 1.18876i | ||||
\(795\) | −1.79730 | + | 34.2946i | −0.0637438 | + | 1.21630i | ||||
\(796\) | −39.4759 | − | 8.39086i | −1.39919 | − | 0.297406i | ||||
\(797\) | 7.92788 | − | 17.8063i | 0.280820 | − | 0.630732i | −0.716975 | − | 0.697099i | \(-0.754474\pi\) |
0.997795 | + | 0.0663666i | \(0.0211407\pi\) | |||||||
\(798\) | −3.71303 | + | 23.4431i | −0.131440 | + | 0.829878i | ||||
\(799\) | −0.110075 | − | 2.10035i | −0.00389417 | − | 0.0743051i | ||||
\(800\) | −18.2182 | − | 11.8310i | −0.644109 | − | 0.418289i | ||||
\(801\) | −11.9569 | + | 1.89379i | −0.422477 | + | 0.0669138i | ||||
\(802\) | 16.6893 | − | 9.63556i | 0.589319 | − | 0.340243i | ||||
\(803\) | 4.22742 | + | 1.00426i | 0.149182 | + | 0.0354397i | ||||
\(804\) | 6.32474 | + | 23.6042i | 0.223056 | + | 0.832457i | ||||
\(805\) | 17.0631 | + | 12.3971i | 0.601396 | + | 0.436940i | ||||
\(806\) | 1.92826 | − | 2.09906i | 0.0679201 | − | 0.0739363i | ||||
\(807\) | −6.38575 | − | 19.6533i | −0.224789 | − | 0.691830i | ||||
\(808\) | −3.05440 | + | 3.77187i | −0.107453 | + | 0.132694i | ||||
\(809\) | −9.24441 | + | 0.971627i | −0.325016 | + | 0.0341606i | −0.265632 | − | 0.964075i | \(-0.585580\pi\) |
−0.0593845 | + | 0.998235i | \(0.518914\pi\) | |||||||
\(810\) | 3.88433 | − | 4.31398i | 0.136481 | − | 0.151578i | ||||
\(811\) | −9.87996 | − | 19.3905i | −0.346932 | − | 0.680893i | 0.649935 | − | 0.759990i | \(-0.274796\pi\) |
−0.996867 | + | 0.0790973i | \(0.974796\pi\) | |||||||
\(812\) | 69.7803 | − | 56.5070i | 2.44881 | − | 1.98301i | ||||
\(813\) | −7.54426 | + | 28.1556i | −0.264589 | + | 0.987459i | ||||
\(814\) | −33.5345 | + | 16.0933i | −1.17538 | + | 0.564071i | ||||
\(815\) | 10.8862 | + | 18.8554i | 0.381327 | + | 0.660477i | ||||
\(816\) | −1.45407 | + | 0.647394i | −0.0509026 | + | 0.0226633i | ||||
\(817\) | −26.6182 | − | 1.39500i | −0.931255 | − | 0.0488050i | ||||
\(818\) | −14.0009 | + | 4.54917i | −0.489531 | + | 0.159058i | ||||
\(819\) | 13.6191 | + | 9.03873i | 0.475889 | + | 0.315839i | ||||
\(820\) | 42.1743 | + | 58.0479i | 1.47279 | + | 2.02712i | ||||
\(821\) | 4.68113 | − | 3.03996i | 0.163373 | − | 0.106095i | −0.460363 | − | 0.887731i | \(-0.652281\pi\) |
0.623736 | + | 0.781635i | \(0.285614\pi\) | |||||||
\(822\) | 3.96860 | − | 3.57334i | 0.138421 | − | 0.124635i | ||||
\(823\) | 22.6593 | + | 2.38158i | 0.789852 | + | 0.0830168i | 0.490860 | − | 0.871239i | \(-0.336683\pi\) |
0.298993 | + | 0.954255i | \(0.403349\pi\) | |||||||
\(824\) | 5.93450 | − | 5.93450i | 0.206738 | − | 0.206738i | ||||
\(825\) | 7.07100 | − | 5.45259i | 0.246181 | − | 0.189835i | ||||
\(826\) | 76.2305 | + | 20.4259i | 2.65240 | + | 0.710708i | ||||
\(827\) | 0.192600 | + | 1.21603i | 0.00669736 | + | 0.0422855i | 0.990811 | − | 0.135256i | \(-0.0431856\pi\) |
−0.984113 | + | 0.177541i | \(0.943186\pi\) | |||||||
\(828\) | −3.90642 | + | 0.830335i | −0.135757 | + | 0.0288561i | ||||
\(829\) | −2.54811 | + | 11.9879i | −0.0884994 | + | 0.416357i | 0.911488 | + | 0.411327i | \(0.134935\pi\) |
−0.999987 | + | 0.00503028i | \(0.998399\pi\) | |||||||
\(830\) | 33.9677 | + | 27.5065i | 1.17904 | + | 0.954765i | ||||
\(831\) | 7.36987 | − | 5.35453i | 0.255658 | − | 0.185746i | ||||
\(832\) | 15.3413 | + | 35.4033i | 0.531863 | + | 1.22739i | ||||
\(833\) | −6.63204 | − | 2.15488i | −0.229786 | − | 0.0746621i | ||||
\(834\) | 3.97068 | + | 1.52420i | 0.137493 | + | 0.0527787i | ||||
\(835\) | −35.7149 | − | 20.6200i | −1.23596 | − | 0.713584i | ||||
\(836\) | −9.46626 | − | 17.3360i | −0.327397 | − | 0.599578i | ||||
\(837\) | −0.267071 | − | 0.267071i | −0.00923132 | − | 0.00923132i | ||||
\(838\) | −5.51911 | − | 6.81554i | −0.190655 | − | 0.235439i | ||||
\(839\) | 16.5807 | − | 25.5321i | 0.572430 | − | 0.881465i | −0.427313 | − | 0.904104i | \(-0.640540\pi\) |
0.999744 | + | 0.0226383i | \(0.00720660\pi\) | |||||||
\(840\) | 8.92994 | + | 4.55003i | 0.308112 | + | 0.156991i | ||||
\(841\) | −36.7304 | − | 16.3534i | −1.26656 | − | 0.563911i | ||||
\(842\) | −2.94242 | − | 27.9952i | −0.101402 | − | 0.964779i | ||||
\(843\) | −13.9927 | − | 21.5469i | −0.481934 | − | 0.742114i | ||||
\(844\) | 3.70951 | − | 11.4167i | 0.127687 | − | 0.392979i | ||||
\(845\) | 12.2470 | + | 33.9116i | 0.421311 | + | 1.16660i | ||||
\(846\) | 8.55526i | 0.294136i | ||||||||
\(847\) | −43.0675 | + | 25.1395i | −1.47982 | + | 0.863805i | ||||
\(848\) | −19.1508 | + | 33.1702i | −0.657642 | + | 1.13907i | ||||
\(849\) | 2.00123 | − | 19.0404i | 0.0686819 | − | 0.653465i | ||||
\(850\) | −2.58349 | + | 1.31635i | −0.0886128 | + | 0.0451505i | ||||
\(851\) | −8.97581 | + | 0.470402i | −0.307687 | + | 0.0161252i | ||||
\(852\) | 11.3146 | − | 4.34326i | 0.387631 | − | 0.148798i | ||||
\(853\) | −5.80125 | − | 0.918828i | −0.198631 | − | 0.0314601i | 0.0563261 | − | 0.998412i | \(-0.482061\pi\) |
−0.254957 | + | 0.966952i | \(0.582061\pi\) | |||||||
\(854\) | −17.5170 | − | 15.7724i | −0.599421 | − | 0.539721i | ||||
\(855\) | 4.64223 | + | 5.15572i | 0.158761 | + | 0.176322i | ||||
\(856\) | 2.71862 | − | 7.08224i | 0.0929205 | − | 0.242066i | ||||
\(857\) | −45.4022 | −1.55091 | −0.775455 | − | 0.631403i | \(-0.782479\pi\) | ||||
−0.775455 | + | 0.631403i | \(0.782479\pi\) | |||||||
\(858\) | −24.9662 | + | 1.77430i | −0.852332 | + | 0.0605735i | ||||
\(859\) | 53.2422 | 1.81660 | 0.908300 | − | 0.418320i | \(-0.137381\pi\) | ||||
0.908300 | + | 0.418320i | \(0.137381\pi\) | |||||||
\(860\) | −25.2157 | + | 65.6891i | −0.859847 | + | 2.23998i | ||||
\(861\) | 32.9620 | + | 36.6080i | 1.12334 | + | 1.24760i | ||||
\(862\) | 15.1166 | + | 13.6111i | 0.514875 | + | 0.463596i | ||||
\(863\) | 33.1190 | + | 5.24553i | 1.12738 | + | 0.178560i | 0.692147 | − | 0.721756i | \(-0.256665\pi\) |
0.435236 | + | 0.900316i | \(0.356665\pi\) | |||||||
\(864\) | 7.53270 | − | 2.89153i | 0.256268 | − | 0.0983719i | ||||
\(865\) | −26.7062 | + | 1.39961i | −0.908038 | + | 0.0475882i | ||||
\(866\) | −21.2784 | + | 10.8419i | −0.723069 | + | 0.368422i | ||||
\(867\) | 1.74931 | − | 16.6436i | 0.0594096 | − | 0.565245i | ||||
\(868\) | 2.03830 | − | 3.53044i | 0.0691845 | − | 0.119831i | ||||
\(869\) | 22.4935 | + | 9.25436i | 0.763040 | + | 0.313933i | ||||
\(870\) | − | 48.2923i | − | 1.63726i | ||||||
\(871\) | −9.93431 | + | 35.6491i | −0.336611 | + | 1.20792i | ||||
\(872\) | 4.91605 | − | 15.1300i | 0.166478 | − | 0.512368i | ||||
\(873\) | −1.57825 | − | 2.43030i | −0.0534158 | − | 0.0822531i | ||||
\(874\) | −0.918011 | − | 8.73429i | −0.0310522 | − | 0.295442i | ||||
\(875\) | 26.5079 | + | 11.8021i | 0.896131 | + | 0.398983i | ||||
\(876\) | 2.77914 | + | 1.41604i | 0.0938984 | + | 0.0478436i | ||||
\(877\) | 7.92128 | − | 12.1977i | 0.267483 | − | 0.411887i | −0.679250 | − | 0.733907i | \(-0.737695\pi\) |
0.946733 | + | 0.322019i | \(0.104362\pi\) | |||||||
\(878\) | 18.7650 | + | 23.1728i | 0.633287 | + | 0.782045i | ||||
\(879\) | 18.0315 | + | 18.0315i | 0.608186 | + | 0.608186i | ||||
\(880\) | 27.9652 | − | 5.25202i | 0.942707 | − | 0.177046i | ||||
\(881\) | 0.824594 | + | 0.476079i | 0.0277813 | + | 0.0160395i | 0.513826 | − | 0.857894i | \(-0.328228\pi\) |
−0.486045 | + | 0.873934i | \(0.661561\pi\) | |||||||
\(882\) | 26.4812 | + | 10.1652i | 0.891668 | + | 0.342279i | ||||
\(883\) | 29.6917 | + | 9.64741i | 0.999205 | + | 0.324661i | 0.762548 | − | 0.646932i | \(-0.223948\pi\) |
0.236657 | + | 0.971593i | \(0.423948\pi\) | |||||||
\(884\) | 4.38804 | + | 0.505503i | 0.147586 | + | 0.0170019i | ||||
\(885\) | 18.6622 | − | 13.5589i | 0.627322 | − | 0.455776i | ||||
\(886\) | 40.8122 | + | 33.0491i | 1.37111 | + | 1.11031i | ||||
\(887\) | 3.81392 | − | 17.9431i | 0.128059 | − | 0.602469i | −0.866578 | − | 0.499041i | \(-0.833686\pi\) |
0.994637 | − | 0.103428i | \(-0.0329811\pi\) | |||||||
\(888\) | −4.17773 | + | 0.888005i | −0.140196 | + | 0.0297995i | ||||
\(889\) | −5.62427 | − | 35.5102i | −0.188632 | − | 1.19097i | ||||
\(890\) | −67.8809 | − | 18.1886i | −2.27537 | − | 0.609685i | ||||
\(891\) | 0.0947215 | + | 3.31527i | 0.00317329 | + | 0.111066i | ||||
\(892\) | 0.484432 | − | 0.484432i | 0.0162200 | − | 0.0162200i | ||||
\(893\) | −10.1685 | − | 1.06876i | −0.340277 | − | 0.0357646i | ||||
\(894\) | 7.16122 | − | 6.44799i | 0.239507 | − | 0.215653i | ||||
\(895\) | 39.7725 | − | 25.8286i | 1.32945 | − | 0.863355i | ||||
\(896\) | 16.6842 | + | 22.9638i | 0.557378 | + | 0.767165i | ||||
\(897\) | −5.73314 | − | 1.92624i | −0.191424 | − | 0.0643153i | ||||
\(898\) | −1.50223 | + | 0.488103i | −0.0501299 | + | 0.0162882i | ||||
\(899\) | −3.13775 | − | 0.164443i | −0.104650 | − | 0.00548447i | ||||
\(900\) | 5.85562 | − | 2.60709i | 0.195187 | − | 0.0869030i | ||||
\(901\) | 3.18565 | + | 5.51771i | 0.106129 | + | 0.183822i | ||||
\(902\) | −74.2002 | − | 13.5693i | −2.47060 | − | 0.451810i | ||||
\(903\) | −12.5029 | + | 46.6614i | −0.416070 | + | 1.55280i | ||||
\(904\) | −3.19496 | + | 2.58723i | −0.106263 | + | 0.0860500i | ||||
\(905\) | 1.25973 | + | 2.47235i | 0.0418747 | + | 0.0821838i | ||||
\(906\) | 23.0176 | − | 25.5636i | 0.764708 | − | 0.849294i | ||||
\(907\) | 6.50085 | − | 0.683267i | 0.215857 | − | 0.0226875i | 0.00401755 | − | 0.999992i | \(-0.498721\pi\) |
0.211840 | + | 0.977304i | \(0.432055\pi\) | |||||||
\(908\) | −35.5803 | + | 43.9380i | −1.18077 | + | 1.45813i | ||||
\(909\) | 1.88158 | + | 5.79092i | 0.0624082 | + | 0.192073i | ||||
\(910\) | 50.8826 | + | 80.0901i | 1.68674 | + | 2.65496i | ||||
\(911\) | 1.17119 | + | 0.850920i | 0.0388033 | + | 0.0281922i | 0.607018 | − | 0.794688i | \(-0.292366\pi\) |
−0.568215 | + | 0.822880i | \(0.692366\pi\) | |||||||
\(912\) | 2.00266 | + | 7.47403i | 0.0663147 | + | 0.247490i | ||||
\(913\) | −24.8904 | + | 2.01862i | −0.823752 | + | 0.0668067i | ||||
\(914\) | −66.2494 | + | 38.2491i | −2.19133 | + | 1.26517i | ||||
\(915\) | −6.80498 | + | 1.07780i | −0.224966 | + | 0.0356311i | ||||
\(916\) | 39.9296 | + | 25.9306i | 1.31931 | + | 0.856770i | ||||
\(917\) | −3.12800 | − | 59.6859i | −0.103296 | − | 1.97100i | ||||
\(918\) | 0.168478 | − | 1.06373i | 0.00556061 | − | 0.0351083i | ||||
\(919\) | −15.5553 | + | 34.9378i | −0.513122 | + | 1.15249i | 0.452316 | + | 0.891858i | \(0.350598\pi\) |
−0.965438 | + | 0.260633i | \(0.916069\pi\) | |||||||
\(920\) | −3.62735 | − | 0.771017i | −0.119590 | − | 0.0254197i | ||||
\(921\) | 0.389090 | − | 7.42428i | 0.0128209 | − | 0.244638i | ||||
\(922\) | −33.3017 | + | 45.8359i | −1.09673 | + | 1.50952i | ||||
\(923\) | 18.0985 | + | 3.05187i | 0.595718 | + | 0.100453i | ||||
\(924\) | −34.2991 | + | 10.2488i | −1.12836 | + | 0.337162i | ||||
\(925\) | 13.9342 | − | 3.73365i | 0.458153 | − | 0.122762i | ||||
\(926\) | −29.3129 | − | 65.8379i | −0.963282 | − | 2.16357i | ||||
\(927\) | −2.18910 | − | 10.2989i | −0.0718995 | − | 0.338260i | ||||
\(928\) | 30.4733 | − | 59.8071i | 1.00033 | − | 1.96327i | ||||
\(929\) | 3.58295 | + | 9.33390i | 0.117553 | + | 0.306235i | 0.979715 | − | 0.200397i | \(-0.0642233\pi\) |
−0.862162 | + | 0.506633i | \(0.830890\pi\) | |||||||
\(930\) | −0.785734 | − | 2.04691i | −0.0257652 | − | 0.0671207i | ||||
\(931\) | −15.3902 | + | 30.2049i | −0.504392 | + | 0.989926i | ||||
\(932\) | 12.2959 | + | 57.8475i | 0.402764 | + | 1.89486i | ||||
\(933\) | −0.338639 | − | 0.760595i | −0.0110865 | − | 0.0249008i | ||||
\(934\) | 40.9342 | − | 10.9683i | 1.33941 | − | 0.358893i | ||||
\(935\) | 1.56934 | − | 4.46547i | 0.0513229 | − | 0.146037i | ||||
\(936\) | −2.83397 | − | 0.477882i | −0.0926314 | − | 0.0156200i | ||||
\(937\) | −30.0938 | + | 41.4205i | −0.983121 | + | 1.35315i | −0.0479897 | + | 0.998848i | \(0.515281\pi\) |
−0.935131 | + | 0.354302i | \(0.884719\pi\) | |||||||
\(938\) | −5.09711 | + | 97.2587i | −0.166427 | + | 3.17561i | ||||
\(939\) | 5.12593 | + | 1.08955i | 0.167279 | + | 0.0355562i | ||||
\(940\) | −10.9780 | + | 24.6570i | −0.358063 | + | 0.804223i | ||||
\(941\) | −2.96184 | + | 18.7003i | −0.0965532 | + | 0.609613i | 0.891203 | + | 0.453605i | \(0.149862\pi\) |
−0.987756 | + | 0.156008i | \(0.950138\pi\) | |||||||
\(942\) | −0.181405 | − | 3.46142i | −0.00591051 | − | 0.112779i | ||||
\(943\) | −15.2866 | − | 9.92724i | −0.497800 | − | 0.323275i | ||||
\(944\) | 25.4109 | − | 4.02469i | 0.827055 | − | 0.130993i | ||||
\(945\) | 10.8889 | − | 6.28673i | 0.354217 | − | 0.204507i | ||||
\(946\) | −28.4702 | − | 68.2725i | −0.925647 | − | 2.21973i | ||||
\(947\) | −8.09579 | − | 30.2139i | −0.263078 | − | 0.981820i | −0.963416 | − | 0.268009i | \(-0.913634\pi\) |
0.700339 | − | 0.713811i | \(-0.253032\pi\) | |||||||
\(948\) | 14.1255 | + | 10.2628i | 0.458776 | + | 0.333320i | ||||
\(949\) | 2.53301 | + | 3.98700i | 0.0822249 | + | 0.129423i | ||||
\(950\) | 4.35576 | + | 13.4056i | 0.141319 | + | 0.434937i | ||||
\(951\) | −10.0403 | + | 12.3987i | −0.325579 | + | 0.402057i | ||||
\(952\) | 1.84922 | − | 0.194361i | 0.0599335 | − | 0.00629927i | ||||
\(953\) | −21.8522 | + | 24.2694i | −0.707863 | + | 0.786162i | −0.984607 | − | 0.174782i | \(-0.944078\pi\) |
0.276744 | + | 0.960944i | \(0.410745\pi\) | |||||||
\(954\) | −11.7658 | − | 23.0916i | −0.380931 | − | 0.747619i | ||||
\(955\) | −43.9701 | + | 35.6063i | −1.42284 | + | 1.15219i | ||||
\(956\) | −4.32266 | + | 16.1324i | −0.139805 | + | 0.521758i | ||||
\(957\) | 19.0401 | + | 19.9686i | 0.615480 | + | 0.645492i | ||||
\(958\) | −14.1838 | − | 24.5671i | −0.458259 | − | 0.793728i | ||||
\(959\) | 10.5668 | − | 4.70465i | 0.341220 | − | 0.151921i | ||||
\(960\) | 29.6394 | + | 1.55334i | 0.956609 | + | 0.0501337i | ||||
\(961\) | 29.3471 | − | 9.53544i | 0.946680 | − | 0.307595i | ||||
\(962\) | −38.3309 | − | 12.8785i | −1.23584 | − | 0.415221i | ||||
\(963\) | −5.59403 | − | 7.69953i | −0.180265 | − | 0.248114i | ||||
\(964\) | 44.6379 | − | 28.9882i | 1.43769 | − | 0.933647i | ||||
\(965\) | −1.63675 | + | 1.47374i | −0.0526889 | + | 0.0474413i | ||||
\(966\) | −15.8295 | − | 1.66375i | −0.509305 | − | 0.0535302i | ||||
\(967\) | 31.8100 | − | 31.8100i | 1.02294 | − | 1.02294i | 0.0232085 | − | 0.999731i | \(-0.492612\pi\) |
0.999731 | − | 0.0232085i | \(-0.00738815\pi\) | |||||||
\(968\) | 5.11988 | − | 7.11803i | 0.164559 | − | 0.228782i | ||||
\(969\) | 1.24327 | + | 0.333133i | 0.0399396 | + | 0.0107018i | ||||
\(970\) | −2.63151 | − | 16.6147i | −0.0844927 | − | 0.533466i | ||||
\(971\) | −10.3308 | + | 2.19589i | −0.331532 | + | 0.0704693i | −0.370670 | − | 0.928764i | \(-0.620872\pi\) |
0.0391383 | + | 0.999234i | \(0.487539\pi\) | |||||||
\(972\) | −0.495003 | + | 2.32881i | −0.0158772 | + | 0.0746965i | ||||
\(973\) | 7.15922 | + | 5.79742i | 0.229514 | + | 0.185857i | ||||
\(974\) | −5.10216 | + | 3.70694i | −0.163484 | + | 0.118778i | ||||
\(975\) | 9.64324 | + | 1.11090i | 0.308831 | + | 0.0355773i | ||||
\(976\) | −7.30818 | − | 2.37457i | −0.233929 | − | 0.0760082i | ||||
\(977\) | −23.2213 | − | 8.91381i | −0.742914 | − | 0.285178i | −0.0426776 | − | 0.999089i | \(-0.513589\pi\) |
−0.700237 | + | 0.713911i | \(0.746922\pi\) | |||||||
\(978\) | −14.2295 | − | 8.21539i | −0.455008 | − | 0.262699i | ||||
\(979\) | 35.2396 | − | 19.2424i | 1.12626 | − | 0.614990i | ||||
\(980\) | 63.2773 | + | 63.2773i | 2.02132 | + | 2.02132i | ||||
\(981\) | −12.5601 | − | 15.5104i | −0.401013 | − | 0.495210i | ||||
\(982\) | −17.6560 | + | 27.1879i | −0.563426 | + | 0.867599i | ||||
\(983\) | −37.8061 | − | 19.2632i | −1.20583 | − | 0.614399i | −0.268644 | − | 0.963240i | \(-0.586576\pi\) |
−0.937182 | + | 0.348840i | \(0.886576\pi\) | |||||||
\(984\) | −7.91255 | − | 3.52290i | −0.252243 | − | 0.112306i | ||||
\(985\) | 1.76045 | + | 16.7496i | 0.0560927 | + | 0.533686i | ||||
\(986\) | −4.87970 | − | 7.51408i | −0.155401 | − | 0.239297i | ||||
\(987\) | −5.72619 | + | 17.6234i | −0.182267 | + | 0.560959i | ||||
\(988\) | 5.76419 | − | 20.6847i | 0.183383 | − | 0.658068i | ||||
\(989\) | − | 17.8744i | − | 0.568373i | ||||||
\(990\) | −7.32543 | + | 17.8051i | −0.232817 | + | 0.565882i | ||||
\(991\) | 3.23901 | − | 5.61014i | 0.102891 | − | 0.178212i | −0.809984 | − | 0.586452i | \(-0.800524\pi\) |
0.912874 | + | 0.408240i | \(0.133857\pi\) | |||||||
\(992\) | 0.318548 | − | 3.03078i | 0.0101139 | − | 0.0962274i | ||||
\(993\) | 18.4083 | − | 9.37952i | 0.584171 | − | 0.297650i | ||||
\(994\) | 48.2358 | − | 2.52793i | 1.52995 | − | 0.0801811i | ||||
\(995\) | −43.8911 | + | 16.8482i | −1.39144 | + | 0.534125i | ||||
\(996\) | −17.7055 | − | 2.80427i | −0.561020 | − | 0.0888568i | ||||
\(997\) | −39.0387 | − | 35.1506i | −1.23637 | − | 1.11323i | −0.989553 | − | 0.144168i | \(-0.953949\pi\) |
−0.246815 | − | 0.969063i | \(-0.579384\pi\) | |||||||
\(998\) | 2.93502 | + | 3.25967i | 0.0929064 | + | 0.103183i | ||||
\(999\) | −1.92023 | + | 5.00237i | −0.0607533 | + | 0.158268i |
(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 | 429.2.bs.b.7.12 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.12 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.12 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.12 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.12 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.12 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.12 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.12 | yes | 224 | 143.41 | even | 60 | inner |