Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(19,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 55, 45]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.be (of order \(66\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 661.11 | ||
Character | \(\chi\) | \(=\) | 966.661 |
Dual form | 966.2.be.a.19.11 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.995472 | − | 0.0950560i | 0.703905 | − | 0.0672148i | ||||
\(3\) | 0.690079 | + | 0.723734i | 0.398417 | + | 0.417848i | ||||
\(4\) | 0.981929 | − | 0.189251i | 0.490964 | − | 0.0946256i | ||||
\(5\) | −1.59513 | − | 0.822347i | −0.713364 | − | 0.367765i | 0.0630309 | − | 0.998012i | \(-0.479923\pi\) |
−0.776395 | + | 0.630247i | \(0.782954\pi\) | |||||||
\(6\) | 0.755750 | + | 0.654861i | 0.308533 | + | 0.267346i | ||||
\(7\) | −1.53650 | − | 2.15387i | −0.580742 | − | 0.814088i | ||||
\(8\) | 0.959493 | − | 0.281733i | 0.339232 | − | 0.0996075i | ||||
\(9\) | −0.0475819 | + | 0.998867i | −0.0158606 | + | 0.332956i | ||||
\(10\) | −1.66608 | − | 0.666996i | −0.526860 | − | 0.210923i | ||||
\(11\) | 0.455072 | − | 4.76573i | 0.137209 | − | 1.43692i | −0.620437 | − | 0.784256i | \(-0.713045\pi\) |
0.757646 | − | 0.652665i | \(-0.226349\pi\) | |||||||
\(12\) | 0.814576 | + | 0.580057i | 0.235148 | + | 0.167448i | ||||
\(13\) | 0.860526 | − | 0.123725i | 0.238667 | − | 0.0343151i | −0.0219433 | − | 0.999759i | \(-0.506985\pi\) |
0.260610 | + | 0.965444i | \(0.416076\pi\) | |||||||
\(14\) | −1.73428 | − | 1.99807i | −0.463506 | − | 0.534006i | ||||
\(15\) | −0.505605 | − | 1.72193i | −0.130547 | − | 0.444601i | ||||
\(16\) | 0.928368 | − | 0.371662i | 0.232092 | − | 0.0929156i | ||||
\(17\) | 0.00822747 | + | 0.0237717i | 0.00199546 | + | 0.00576549i | 0.945994 | − | 0.324184i | \(-0.105090\pi\) |
−0.943999 | + | 0.329949i | \(0.892968\pi\) | |||||||
\(18\) | 0.0475819 | + | 0.998867i | 0.0112152 | + | 0.235435i | ||||
\(19\) | 1.70293 | − | 4.92029i | 0.390679 | − | 1.12879i | −0.562607 | − | 0.826724i | \(-0.690202\pi\) |
0.953286 | − | 0.302069i | \(-0.0976772\pi\) | |||||||
\(20\) | −1.72193 | − | 0.505605i | −0.385036 | − | 0.113057i | ||||
\(21\) | 0.498526 | − | 2.59836i | 0.108787 | − | 0.567009i | ||||
\(22\) | − | 4.78741i | − | 1.02068i | ||||||
\(23\) | −1.43339 | + | 4.57661i | −0.298883 | + | 0.954290i | ||||
\(24\) | 0.866025 | + | 0.500000i | 0.176777 | + | 0.102062i | ||||
\(25\) | −1.03210 | − | 1.44938i | −0.206420 | − | 0.289876i | ||||
\(26\) | 0.844869 | − | 0.204963i | 0.165692 | − | 0.0401965i | ||||
\(27\) | −0.755750 | + | 0.654861i | −0.145444 | + | 0.126028i | ||||
\(28\) | −1.91636 | − | 1.82417i | −0.362157 | − | 0.344735i | ||||
\(29\) | 3.22932 | − | 3.72683i | 0.599669 | − | 0.692055i | −0.372045 | − | 0.928215i | \(-0.621343\pi\) |
0.971714 | + | 0.236159i | \(0.0758887\pi\) | |||||||
\(30\) | −0.666996 | − | 1.66608i | −0.121776 | − | 0.304183i | ||||
\(31\) | −3.08610 | − | 0.748681i | −0.554281 | − | 0.134467i | −0.0511715 | − | 0.998690i | \(-0.516296\pi\) |
−0.503109 | + | 0.864223i | \(0.667811\pi\) | |||||||
\(32\) | 0.888835 | − | 0.458227i | 0.157125 | − | 0.0810038i | ||||
\(33\) | 3.76316 | − | 2.95938i | 0.655081 | − | 0.515162i | ||||
\(34\) | 0.0104499 | + | 0.0228820i | 0.00179214 | + | 0.00392423i | ||||
\(35\) | 0.679684 | + | 4.69924i | 0.114888 | + | 0.794317i | ||||
\(36\) | 0.142315 | + | 0.989821i | 0.0237191 | + | 0.164970i | ||||
\(37\) | 7.95815 | + | 0.379093i | 1.30831 | + | 0.0623226i | 0.690114 | − | 0.723700i | \(-0.257560\pi\) |
0.618197 | + | 0.786023i | \(0.287863\pi\) | |||||||
\(38\) | 1.22752 | − | 5.05989i | 0.199129 | − | 0.820822i | ||||
\(39\) | 0.683375 | + | 0.537412i | 0.109428 | + | 0.0860548i | ||||
\(40\) | −1.76220 | − | 0.339636i | −0.278628 | − | 0.0537011i | ||||
\(41\) | −1.20695 | − | 1.87805i | −0.188494 | − | 0.293302i | 0.734126 | − | 0.679014i | \(-0.237592\pi\) |
−0.922619 | + | 0.385712i | \(0.873956\pi\) | |||||||
\(42\) | 0.249279 | − | 2.63398i | 0.0384646 | − | 0.406432i | ||||
\(43\) | 2.56923 | − | 8.74999i | 0.391804 | − | 1.33436i | −0.493661 | − | 0.869655i | \(-0.664341\pi\) |
0.885465 | − | 0.464707i | \(-0.153840\pi\) | |||||||
\(44\) | −0.455072 | − | 4.76573i | −0.0686047 | − | 0.718461i | ||||
\(45\) | 0.897315 | − | 1.55419i | 0.133764 | − | 0.231686i | ||||
\(46\) | −0.991865 | + | 4.69214i | −0.146243 | + | 0.691819i | ||||
\(47\) | −3.07852 | + | 1.77738i | −0.449048 | + | 0.259258i | −0.707428 | − | 0.706785i | \(-0.750145\pi\) |
0.258380 | + | 0.966043i | \(0.416811\pi\) | |||||||
\(48\) | 0.909632 | + | 0.415415i | 0.131294 | + | 0.0599600i | ||||
\(49\) | −2.27834 | + | 6.61885i | −0.325478 | + | 0.945550i | ||||
\(50\) | −1.16520 | − | 1.34471i | −0.164784 | − | 0.190171i | ||||
\(51\) | −0.0115268 | + | 0.0223589i | −0.00161407 | + | 0.00313087i | ||||
\(52\) | 0.821560 | − | 0.284345i | 0.113930 | − | 0.0394315i | ||||
\(53\) | 0.792805 | − | 1.00813i | 0.108900 | − | 0.138478i | −0.728548 | − | 0.684995i | \(-0.759804\pi\) |
0.837448 | + | 0.546517i | \(0.184047\pi\) | |||||||
\(54\) | −0.690079 | + | 0.723734i | −0.0939079 | + | 0.0984877i | ||||
\(55\) | −4.64498 | + | 7.22773i | −0.626329 | + | 0.974587i | ||||
\(56\) | −2.08108 | − | 1.63375i | −0.278095 | − | 0.218318i | ||||
\(57\) | 4.73614 | − | 2.16292i | 0.627317 | − | 0.286486i | ||||
\(58\) | 2.86044 | − | 4.01692i | 0.375594 | − | 0.527448i | ||||
\(59\) | −3.78672 | + | 9.45876i | −0.492989 | + | 1.23143i | 0.448318 | + | 0.893874i | \(0.352023\pi\) |
−0.941307 | + | 0.337552i | \(0.890401\pi\) | |||||||
\(60\) | −0.822347 | − | 1.59513i | −0.106165 | − | 0.205930i | ||||
\(61\) | 6.74829 | + | 6.43448i | 0.864030 | + | 0.823851i | 0.985663 | − | 0.168724i | \(-0.0539648\pi\) |
−0.121634 | + | 0.992575i | \(0.538813\pi\) | |||||||
\(62\) | −3.14330 | − | 0.451938i | −0.399199 | − | 0.0573962i | ||||
\(63\) | 2.22454 | − | 1.43227i | 0.280266 | − | 0.180449i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | −1.47440 | − | 0.510293i | −0.182876 | − | 0.0632941i | ||||
\(66\) | 3.46481 | − | 3.30369i | 0.426489 | − | 0.406656i | ||||
\(67\) | 2.85806 | − | 2.03521i | 0.349167 | − | 0.248641i | −0.391994 | − | 0.919968i | \(-0.628215\pi\) |
0.741161 | + | 0.671327i | \(0.234275\pi\) | |||||||
\(68\) | 0.0125776 | + | 0.0217851i | 0.00152526 | + | 0.00264183i | ||||
\(69\) | −4.30140 | + | 2.12083i | −0.517828 | + | 0.255318i | ||||
\(70\) | 1.12330 | + | 4.61336i | 0.134260 | + | 0.551402i | ||||
\(71\) | 0.134708 | − | 0.294968i | 0.0159868 | − | 0.0350063i | −0.901470 | − | 0.432841i | \(-0.857511\pi\) |
0.917457 | + | 0.397835i | \(0.130238\pi\) | |||||||
\(72\) | 0.235759 | + | 0.971812i | 0.0277845 | + | 0.114529i | ||||
\(73\) | −0.614684 | − | 3.18928i | −0.0719433 | − | 0.373277i | −1.00000 | 0.000837487i | \(-0.999733\pi\) | |
0.928056 | − | 0.372440i | \(-0.121479\pi\) | |||||||
\(74\) | 7.95815 | − | 0.379093i | 0.925116 | − | 0.0440687i | ||||
\(75\) | 0.336736 | − | 1.74715i | 0.0388829 | − | 0.201744i | ||||
\(76\) | 0.740984 | − | 5.15366i | 0.0849967 | − | 0.591165i | ||||
\(77\) | −10.9640 | + | 6.34237i | −1.24946 | + | 0.722780i | ||||
\(78\) | 0.731365 | + | 0.470020i | 0.0828108 | + | 0.0532192i | ||||
\(79\) | 9.24853 | + | 11.7605i | 1.04054 | + | 1.32316i | 0.944764 | + | 0.327752i | \(0.106291\pi\) |
0.0957769 | + | 0.995403i | \(0.469466\pi\) | |||||||
\(80\) | −1.78650 | − | 0.170590i | −0.199737 | − | 0.0190726i | ||||
\(81\) | −0.995472 | − | 0.0950560i | −0.110608 | − | 0.0105618i | ||||
\(82\) | −1.38000 | − | 1.75482i | −0.152396 | − | 0.193787i | ||||
\(83\) | −8.52400 | − | 5.47804i | −0.935631 | − | 0.601294i | −0.0184782 | − | 0.999829i | \(-0.505882\pi\) |
−0.917153 | + | 0.398536i | \(0.869518\pi\) | |||||||
\(84\) | −0.00222539 | − | 2.64575i | −0.000242810 | − | 0.288675i | ||||
\(85\) | 0.00642471 | − | 0.0446848i | 0.000696857 | − | 0.00484675i | ||||
\(86\) | 1.72586 | − | 8.95459i | 0.186104 | − | 0.965599i | ||||
\(87\) | 4.92572 | − | 0.234641i | 0.528093 | − | 0.0251562i | ||||
\(88\) | −0.906023 | − | 4.70089i | −0.0965824 | − | 0.501117i | ||||
\(89\) | 3.70075 | + | 15.2547i | 0.392279 | + | 1.61700i | 0.735351 | + | 0.677686i | \(0.237017\pi\) |
−0.343072 | + | 0.939309i | \(0.611468\pi\) | |||||||
\(90\) | 0.745516 | − | 1.63245i | 0.0785843 | − | 0.172076i | ||||
\(91\) | −1.58869 | − | 1.66336i | −0.166539 | − | 0.174368i | ||||
\(92\) | −0.541358 | + | 4.76518i | −0.0564404 | + | 0.496804i | ||||
\(93\) | −1.58781 | − | 2.75017i | −0.164648 | − | 0.285179i | ||||
\(94\) | −2.89563 | + | 2.06197i | −0.298661 | + | 0.212676i | ||||
\(95\) | −6.76258 | + | 6.44811i | −0.693826 | + | 0.661562i | ||||
\(96\) | 0.945001 | + | 0.327068i | 0.0964487 | + | 0.0333812i | ||||
\(97\) | −6.67740 | + | 4.29131i | −0.677988 | + | 0.435716i | −0.833797 | − | 0.552071i | \(-0.813838\pi\) |
0.155809 | + | 0.987787i | \(0.450201\pi\) | |||||||
\(98\) | −1.63887 | + | 6.80545i | −0.165551 | + | 0.687454i | ||||
\(99\) | 4.73868 | + | 0.681319i | 0.476255 | + | 0.0684751i | ||||
\(100\) | −1.28774 | − | 1.22786i | −0.128774 | − | 0.122786i | ||||
\(101\) | 2.19072 | + | 4.24941i | 0.217985 | + | 0.422832i | 0.972319 | − | 0.233659i | \(-0.0750700\pi\) |
−0.754333 | + | 0.656492i | \(0.772040\pi\) | |||||||
\(102\) | −0.00934926 | + | 0.0233533i | −0.000925715 | + | 0.00231232i | ||||
\(103\) | 3.16613 | − | 4.44620i | 0.311968 | − | 0.438097i | −0.628587 | − | 0.777739i | \(-0.716366\pi\) |
0.940555 | + | 0.339642i | \(0.110306\pi\) | |||||||
\(104\) | 0.790811 | − | 0.361151i | 0.0775454 | − | 0.0354138i | ||||
\(105\) | −2.93197 | + | 3.73476i | −0.286131 | + | 0.364475i | ||||
\(106\) | 0.693386 | − | 1.07893i | 0.0673476 | − | 0.104795i | ||||
\(107\) | 0.241361 | − | 0.253132i | 0.0233332 | − | 0.0244712i | −0.711964 | − | 0.702216i | \(-0.752194\pi\) |
0.735297 | + | 0.677745i | \(0.237043\pi\) | |||||||
\(108\) | −0.618159 | + | 0.786053i | −0.0594824 | + | 0.0756380i | ||||
\(109\) | 6.66969 | − | 2.30840i | 0.638840 | − | 0.221105i | 0.0116025 | − | 0.999933i | \(-0.496307\pi\) |
0.627238 | + | 0.778828i | \(0.284186\pi\) | |||||||
\(110\) | −3.93691 | + | 7.63654i | −0.375370 | + | 0.728115i | ||||
\(111\) | 5.21739 | + | 6.02119i | 0.495213 | + | 0.571506i | ||||
\(112\) | −2.22695 | − | 1.42853i | −0.210427 | − | 0.134983i | ||||
\(113\) | −4.92805 | − | 2.25056i | −0.463592 | − | 0.211715i | 0.169905 | − | 0.985460i | \(-0.445654\pi\) |
−0.633497 | + | 0.773745i | \(0.718381\pi\) | |||||||
\(114\) | 4.50910 | − | 2.60333i | 0.422316 | − | 0.243824i | ||||
\(115\) | 6.05001 | − | 6.12155i | 0.564166 | − | 0.570837i | ||||
\(116\) | 2.46565 | − | 4.27064i | 0.228930 | − | 0.396519i | ||||
\(117\) | 0.0826394 | + | 0.865439i | 0.00764001 | + | 0.0800098i | ||||
\(118\) | −2.87046 | + | 9.77588i | −0.264247 | + | 0.899943i | ||||
\(119\) | 0.0385598 | − | 0.0542462i | 0.00353477 | − | 0.00497274i | ||||
\(120\) | −0.970250 | − | 1.50974i | −0.0885713 | − | 0.137820i | ||||
\(121\) | −11.7039 | − | 2.25574i | −1.06399 | − | 0.205067i | ||||
\(122\) | 7.32937 | + | 5.76388i | 0.663570 | + | 0.521837i | ||||
\(123\) | 0.526318 | − | 2.16951i | 0.0474565 | − | 0.195618i | ||||
\(124\) | −3.17202 | − | 0.151102i | −0.284856 | − | 0.0135694i | ||||
\(125\) | 1.73145 | + | 12.0425i | 0.154866 | + | 1.07711i | ||||
\(126\) | 2.07832 | − | 1.63724i | 0.185152 | − | 0.145857i | ||||
\(127\) | −2.59751 | − | 5.68776i | −0.230492 | − | 0.504707i | 0.758681 | − | 0.651463i | \(-0.225844\pi\) |
−0.989173 | + | 0.146755i | \(0.953117\pi\) | |||||||
\(128\) | 0.786053 | − | 0.618159i | 0.0694779 | − | 0.0546381i | ||||
\(129\) | 8.10564 | − | 4.17875i | 0.713662 | − | 0.367918i | ||||
\(130\) | −1.51623 | − | 0.367833i | −0.132982 | − | 0.0322610i | ||||
\(131\) | 1.74844 | + | 4.36739i | 0.152762 | + | 0.381581i | 0.984933 | − | 0.172939i | \(-0.0553263\pi\) |
−0.832171 | + | 0.554519i | \(0.812902\pi\) | |||||||
\(132\) | 3.13509 | − | 3.61808i | 0.272874 | − | 0.314914i | ||||
\(133\) | −13.2142 | + | 3.89213i | −1.14582 | + | 0.337490i | ||||
\(134\) | 2.65166 | − | 2.29767i | 0.229068 | − | 0.198489i | ||||
\(135\) | 1.74404 | − | 0.423100i | 0.150103 | − | 0.0364146i | ||||
\(136\) | 0.0145915 | + | 0.0204909i | 0.00125121 | + | 0.00175708i | ||||
\(137\) | −17.3002 | − | 9.98829i | −1.47806 | − | 0.853358i | −0.478366 | − | 0.878160i | \(-0.658771\pi\) |
−0.999692 | + | 0.0248028i | \(0.992104\pi\) | |||||||
\(138\) | −4.08033 | + | 2.52010i | −0.347341 | + | 0.214525i | ||||
\(139\) | − | 1.81073i | − | 0.153584i | −0.997047 | − | 0.0767921i | \(-0.975532\pi\) | ||
0.997047 | − | 0.0767921i | \(-0.0244678\pi\) | |||||||
\(140\) | 1.55674 | + | 4.48569i | 0.131568 | + | 0.379110i | ||||
\(141\) | −3.41077 | − | 1.00149i | −0.287239 | − | 0.0843409i | ||||
\(142\) | 0.106059 | − | 0.306437i | 0.00890028 | − | 0.0257157i | ||||
\(143\) | −0.198038 | − | 4.15734i | −0.0165608 | − | 0.347654i | ||||
\(144\) | 0.327068 | + | 0.945001i | 0.0272557 | + | 0.0787501i | ||||
\(145\) | −8.21593 | + | 3.28916i | −0.682296 | + | 0.273150i | ||||
\(146\) | −0.915061 | − | 3.11641i | −0.0757310 | − | 0.257916i | ||||
\(147\) | −6.36252 | + | 2.91861i | −0.524772 | + | 0.240723i | ||||
\(148\) | 7.88608 | − | 1.13385i | 0.648232 | − | 0.0932017i | ||||
\(149\) | 6.11999 | + | 4.35803i | 0.501369 | + | 0.357024i | 0.802590 | − | 0.596531i | \(-0.203455\pi\) |
−0.301221 | + | 0.953554i | \(0.597394\pi\) | |||||||
\(150\) | 0.169134 | − | 1.77125i | 0.0138097 | − | 0.144622i | ||||
\(151\) | 13.2806 | + | 5.31673i | 1.08076 | + | 0.432670i | 0.842591 | − | 0.538555i | \(-0.181029\pi\) |
0.238166 | + | 0.971224i | \(0.423454\pi\) | |||||||
\(152\) | 0.247743 | − | 5.20076i | 0.0200946 | − | 0.421837i | ||||
\(153\) | −0.0241363 | + | 0.00708705i | −0.00195130 | + | 0.000572954i | ||||
\(154\) | −10.3115 | + | 7.35584i | −0.830922 | + | 0.592751i | ||||
\(155\) | 4.30706 | + | 3.73209i | 0.345952 | + | 0.299769i | ||||
\(156\) | 0.772731 | + | 0.398371i | 0.0618680 | + | 0.0318952i | ||||
\(157\) | −3.02830 | + | 0.583656i | −0.241684 | + | 0.0465808i | −0.308655 | − | 0.951174i | \(-0.599879\pi\) |
0.0669705 | + | 0.997755i | \(0.478667\pi\) | |||||||
\(158\) | 10.3246 | + | 10.8281i | 0.821377 | + | 0.861436i | ||||
\(159\) | 1.27672 | − | 0.121912i | 0.101250 | − | 0.00966824i | ||||
\(160\) | −1.79463 | −0.141878 | ||||||||
\(161\) | 12.0599 | − | 3.94462i | 0.950449 | − | 0.310879i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 11.9632 | − | 1.14235i | 0.937033 | − | 0.0894758i | 0.384646 | − | 0.923064i | \(-0.374323\pi\) |
0.552386 | + | 0.833588i | \(0.313717\pi\) | |||||||
\(164\) | −1.54056 | − | 1.61569i | −0.120298 | − | 0.126164i | ||||
\(165\) | −8.43636 | + | 1.62597i | −0.656770 | + | 0.126582i | ||||
\(166\) | −9.00613 | − | 4.64298i | −0.699011 | − | 0.360365i | ||||
\(167\) | −4.21752 | − | 3.65450i | −0.326361 | − | 0.282794i | 0.476233 | − | 0.879319i | \(-0.342002\pi\) |
−0.802594 | + | 0.596526i | \(0.796547\pi\) | |||||||
\(168\) | −0.253710 | − | 2.63356i | −0.0195741 | − | 0.203183i | ||||
\(169\) | −11.7482 | + | 3.44959i | −0.903709 | + | 0.265353i | ||||
\(170\) | 0.00214805 | − | 0.0450932i | 0.000164748 | − | 0.00345849i | ||||
\(171\) | 4.83369 | + | 1.93512i | 0.369642 | + | 0.147982i | ||||
\(172\) | 0.866854 | − | 9.07810i | 0.0660970 | − | 0.692199i | ||||
\(173\) | 3.45136 | + | 2.45770i | 0.262402 | + | 0.186855i | 0.703684 | − | 0.710513i | \(-0.251537\pi\) |
−0.441283 | + | 0.897368i | \(0.645476\pi\) | |||||||
\(174\) | 4.88111 | − | 0.701798i | 0.370036 | − | 0.0532032i | ||||
\(175\) | −1.53596 | + | 4.44998i | −0.116108 | + | 0.336387i | ||||
\(176\) | −1.34877 | − | 4.59348i | −0.101667 | − | 0.346247i | ||||
\(177\) | −9.45876 | + | 3.78672i | −0.710964 | + | 0.284627i | ||||
\(178\) | 5.13405 | + | 14.8339i | 0.384813 | + | 1.11184i | ||||
\(179\) | −0.0390473 | − | 0.819703i | −0.00291853 | − | 0.0612675i | 0.996938 | − | 0.0781933i | \(-0.0249151\pi\) |
−0.999857 | + | 0.0169258i | \(0.994612\pi\) | |||||||
\(180\) | 0.586966 | − | 1.69593i | 0.0437498 | − | 0.126407i | ||||
\(181\) | −12.1778 | − | 3.57574i | −0.905172 | − | 0.265782i | −0.204165 | − | 0.978937i | \(-0.565448\pi\) |
−0.701007 | + | 0.713154i | \(0.747266\pi\) | |||||||
\(182\) | −1.73960 | − | 1.50482i | −0.128948 | − | 0.111544i | ||||
\(183\) | 9.32426i | 0.689269i | ||||||||
\(184\) | −0.0859472 | + | 4.79506i | −0.00633611 | + | 0.353497i | ||||
\(185\) | −12.3825 | − | 7.14906i | −0.910382 | − | 0.525609i | ||||
\(186\) | −1.84204 | − | 2.58678i | −0.135065 | − | 0.189672i | ||||
\(187\) | 0.117034 | − | 0.0283921i | 0.00855835 | − | 0.00207623i | ||||
\(188\) | −2.68651 | + | 2.32788i | −0.195934 | + | 0.169778i | ||||
\(189\) | 2.57170 | + | 0.621597i | 0.187063 | + | 0.0452145i | ||||
\(190\) | −6.11903 | + | 7.06174i | −0.443921 | + | 0.512312i | ||||
\(191\) | −7.75098 | − | 19.3610i | −0.560841 | − | 1.40091i | −0.889705 | − | 0.456536i | \(-0.849090\pi\) |
0.328863 | − | 0.944377i | \(-0.393334\pi\) | |||||||
\(192\) | 0.971812 | + | 0.235759i | 0.0701345 | + | 0.0170144i | ||||
\(193\) | 14.4644 | − | 7.45690i | 1.04117 | − | 0.536759i | 0.149176 | − | 0.988811i | \(-0.452338\pi\) |
0.891992 | + | 0.452051i | \(0.149308\pi\) | |||||||
\(194\) | −6.23925 | + | 4.90660i | −0.447952 | + | 0.352274i | ||||
\(195\) | −0.648133 | − | 1.41921i | −0.0464138 | − | 0.101632i | ||||
\(196\) | −0.984547 | + | 6.93042i | −0.0703248 | + | 0.495030i | ||||
\(197\) | 2.03270 | + | 14.1377i | 0.144824 | + | 1.00727i | 0.924525 | + | 0.381120i | \(0.124462\pi\) |
−0.779702 | + | 0.626151i | \(0.784629\pi\) | |||||||
\(198\) | 4.78198 | + | 0.227794i | 0.339841 | + | 0.0161886i | ||||
\(199\) | 4.72791 | − | 19.4887i | 0.335153 | − | 1.38152i | −0.515995 | − | 0.856592i | \(-0.672578\pi\) |
0.851148 | − | 0.524927i | \(-0.175907\pi\) | |||||||
\(200\) | −1.39863 | − | 1.09989i | −0.0988980 | − | 0.0777743i | ||||
\(201\) | 3.44524 | + | 0.664015i | 0.243008 | + | 0.0468360i | ||||
\(202\) | 2.58474 | + | 4.02193i | 0.181861 | + | 0.282982i | ||||
\(203\) | −12.9890 | − | 1.22927i | −0.911647 | − | 0.0862780i | ||||
\(204\) | −0.00708705 | + | 0.0241363i | −0.000496193 | + | 0.00168988i | ||||
\(205\) | 0.380833 | + | 3.98826i | 0.0265985 | + | 0.278552i | ||||
\(206\) | 2.72915 | − | 4.72703i | 0.190149 | − | 0.329348i | ||||
\(207\) | −4.50323 | − | 1.64953i | −0.312996 | − | 0.114650i | ||||
\(208\) | 0.752901 | − | 0.434688i | 0.0522043 | − | 0.0301402i | ||||
\(209\) | −22.6738 | − | 10.3548i | −1.56838 | − | 0.716256i | ||||
\(210\) | −2.56368 | + | 3.99655i | −0.176911 | + | 0.275788i | ||||
\(211\) | 1.76738 | + | 2.03966i | 0.121671 | + | 0.140416i | 0.813317 | − | 0.581821i | \(-0.197659\pi\) |
−0.691646 | + | 0.722237i | \(0.743114\pi\) | |||||||
\(212\) | 0.587688 | − | 1.13995i | 0.0403626 | − | 0.0782924i | ||||
\(213\) | 0.306437 | − | 0.106059i | 0.0209967 | − | 0.00726704i | ||||
\(214\) | 0.216206 | − | 0.274928i | 0.0147795 | − | 0.0187937i | ||||
\(215\) | −11.2938 | + | 11.8446i | −0.770230 | + | 0.807794i | ||||
\(216\) | −0.540641 | + | 0.841254i | −0.0367859 | + | 0.0572401i | ||||
\(217\) | 3.12923 | + | 7.79743i | 0.212426 | + | 0.529324i | ||||
\(218\) | 6.42006 | − | 2.93194i | 0.434821 | − | 0.198576i | ||||
\(219\) | 1.88401 | − | 2.64572i | 0.127310 | − | 0.178782i | ||||
\(220\) | −3.19318 | + | 7.97619i | −0.215284 | + | 0.537754i | ||||
\(221\) | 0.0100211 | + | 0.0194382i | 0.000674093 | + | 0.00130756i | ||||
\(222\) | 5.76612 | + | 5.49798i | 0.386996 | + | 0.369000i | ||||
\(223\) | 21.7178 | + | 3.12255i | 1.45433 | + | 0.209101i | 0.823720 | − | 0.566997i | \(-0.191895\pi\) |
0.630612 | + | 0.776099i | \(0.282804\pi\) | |||||||
\(224\) | −2.35266 | − | 1.21037i | −0.157193 | − | 0.0808716i | ||||
\(225\) | 1.49685 | − | 0.961965i | 0.0997898 | − | 0.0641310i | ||||
\(226\) | −5.11966 | − | 1.77193i | −0.340555 | − | 0.117867i | ||||
\(227\) | −2.07575 | + | 1.97922i | −0.137772 | + | 0.131366i | −0.755832 | − | 0.654765i | \(-0.772767\pi\) |
0.618060 | + | 0.786131i | \(0.287919\pi\) | |||||||
\(228\) | 4.24122 | − | 3.02016i | 0.280881 | − | 0.200015i | ||||
\(229\) | 11.0249 | + | 19.0957i | 0.728548 | + | 1.26188i | 0.957497 | + | 0.288444i | \(0.0931377\pi\) |
−0.228949 | + | 0.973438i | \(0.573529\pi\) | |||||||
\(230\) | 5.44072 | − | 6.66892i | 0.358751 | − | 0.439736i | ||||
\(231\) | −12.1562 | − | 3.55828i | −0.799820 | − | 0.234118i | ||||
\(232\) | 2.04854 | − | 4.48567i | 0.134493 | − | 0.294499i | ||||
\(233\) | −0.829761 | − | 3.42032i | −0.0543594 | − | 0.224073i | 0.938152 | − | 0.346223i | \(-0.112536\pi\) |
−0.992512 | + | 0.122151i | \(0.961021\pi\) | |||||||
\(234\) | 0.164530 | + | 0.853664i | 0.0107557 | + | 0.0558058i | ||||
\(235\) | 6.37226 | − | 0.303548i | 0.415680 | − | 0.0198013i | ||||
\(236\) | −1.92820 | + | 10.0045i | −0.125515 | + | 0.651236i | ||||
\(237\) | −2.12923 | + | 14.8091i | −0.138308 | + | 0.961956i | ||||
\(238\) | 0.0332288 | − | 0.0576659i | 0.00215390 | − | 0.00373792i | ||||
\(239\) | 21.6113 | + | 13.8887i | 1.39792 | + | 0.898388i | 0.999820 | − | 0.0189549i | \(-0.00603390\pi\) |
0.398098 | + | 0.917343i | \(0.369670\pi\) | |||||||
\(240\) | −1.10937 | − | 1.41067i | −0.0716093 | − | 0.0910586i | ||||
\(241\) | 12.8138 | + | 1.22357i | 0.825408 | + | 0.0788169i | 0.499206 | − | 0.866483i | \(-0.333625\pi\) |
0.326202 | + | 0.945300i | \(0.394231\pi\) | |||||||
\(242\) | −11.8653 | − | 1.13300i | −0.762730 | − | 0.0728319i | ||||
\(243\) | −0.618159 | − | 0.786053i | −0.0396549 | − | 0.0504253i | ||||
\(244\) | 7.84407 | + | 5.04108i | 0.502165 | + | 0.322722i | ||||
\(245\) | 9.07724 | − | 8.68433i | 0.579924 | − | 0.554822i | ||||
\(246\) | 0.317709 | − | 2.20972i | 0.0202564 | − | 0.140886i | ||||
\(247\) | 0.856653 | − | 4.44474i | 0.0545075 | − | 0.282812i | ||||
\(248\) | −3.17202 | + | 0.151102i | −0.201424 | + | 0.00959499i | ||||
\(249\) | −1.91759 | − | 9.94940i | −0.121522 | − | 0.630517i | ||||
\(250\) | 2.86832 | + | 11.8234i | 0.181409 | + | 0.747777i | ||||
\(251\) | −0.671561 | + | 1.47051i | −0.0423885 | + | 0.0928179i | −0.929642 | − | 0.368465i | \(-0.879883\pi\) |
0.887253 | + | 0.461283i | \(0.152611\pi\) | |||||||
\(252\) | 1.91328 | − | 1.82739i | 0.120526 | − | 0.115115i | ||||
\(253\) | 21.1586 | + | 8.91384i | 1.33023 | + | 0.560408i | ||||
\(254\) | −3.12641 | − | 5.41510i | −0.196168 | − | 0.339773i | ||||
\(255\) | 0.0367735 | − | 0.0261863i | 0.00230284 | − | 0.00163985i | ||||
\(256\) | 0.723734 | − | 0.690079i | 0.0452334 | − | 0.0431299i | ||||
\(257\) | 15.6328 | + | 5.41057i | 0.975149 | + | 0.337502i | 0.767747 | − | 0.640754i | \(-0.221378\pi\) |
0.207402 | + | 0.978256i | \(0.433499\pi\) | |||||||
\(258\) | 7.67172 | − | 4.93032i | 0.477621 | − | 0.306948i | ||||
\(259\) | −11.4112 | − | 17.7233i | −0.709055 | − | 1.10127i | ||||
\(260\) | −1.54433 | − | 0.222040i | −0.0957750 | − | 0.0137704i | ||||
\(261\) | 3.56895 | + | 3.40299i | 0.220913 | + | 0.210640i | ||||
\(262\) | 2.15567 | + | 4.18141i | 0.133178 | + | 0.258329i | ||||
\(263\) | −7.23722 | + | 18.0777i | −0.446266 | + | 1.11472i | 0.519307 | + | 0.854588i | \(0.326190\pi\) |
−0.965573 | + | 0.260132i | \(0.916234\pi\) | |||||||
\(264\) | 2.77697 | − | 3.89971i | 0.170911 | − | 0.240010i | ||||
\(265\) | −2.09366 | + | 0.956144i | −0.128613 | + | 0.0587354i | ||||
\(266\) | −12.7844 | + | 5.13060i | −0.783864 | + | 0.314577i | ||||
\(267\) | −8.48654 | + | 13.2053i | −0.519368 | + | 0.808152i | ||||
\(268\) | 2.42124 | − | 2.53932i | 0.147901 | − | 0.155114i | ||||
\(269\) | −11.5864 | + | 14.7333i | −0.706433 | + | 0.898302i | −0.998308 | − | 0.0581544i | \(-0.981478\pi\) |
0.291875 | + | 0.956456i | \(0.405721\pi\) | |||||||
\(270\) | 1.69593 | − | 0.586966i | 0.103211 | − | 0.0357216i | ||||
\(271\) | 6.00611 | − | 11.6502i | 0.364845 | − | 0.707701i | −0.632941 | − | 0.774200i | \(-0.718153\pi\) |
0.997786 | + | 0.0664989i | \(0.0211829\pi\) | |||||||
\(272\) | 0.0164732 | + | 0.0190111i | 0.000998833 | + | 0.00115271i | ||||
\(273\) | 0.107513 | − | 2.29764i | 0.00650698 | − | 0.139059i | ||||
\(274\) | −18.1713 | − | 8.29858i | −1.09777 | − | 0.501335i | ||||
\(275\) | −7.37703 | + | 4.25913i | −0.444852 | + | 0.256835i | ||||
\(276\) | −3.82230 | + | 2.89655i | −0.230076 | + | 0.174352i | ||||
\(277\) | −0.396002 | + | 0.685896i | −0.0237935 | + | 0.0412115i | −0.877677 | − | 0.479253i | \(-0.840908\pi\) |
0.853883 | + | 0.520464i | \(0.174241\pi\) | |||||||
\(278\) | −0.172121 | − | 1.80253i | −0.0103231 | − | 0.108109i | ||||
\(279\) | 0.894676 | − | 3.04699i | 0.0535628 | − | 0.182418i | ||||
\(280\) | 1.97608 | + | 4.31740i | 0.118093 | + | 0.258014i | ||||
\(281\) | 1.05610 | + | 1.64333i | 0.0630018 | + | 0.0980327i | 0.871325 | − | 0.490706i | \(-0.163261\pi\) |
−0.808323 | + | 0.588739i | \(0.799625\pi\) | |||||||
\(282\) | −3.49053 | − | 0.672744i | −0.207858 | − | 0.0400613i | ||||
\(283\) | −24.4280 | − | 19.2104i | −1.45209 | − | 1.14194i | −0.962932 | − | 0.269743i | \(-0.913061\pi\) |
−0.489159 | − | 0.872195i | \(-0.662696\pi\) | |||||||
\(284\) | 0.0764500 | − | 0.315131i | 0.00453648 | − | 0.0186996i | ||||
\(285\) | −9.33343 | − | 0.444606i | −0.552865 | − | 0.0263362i | ||||
\(286\) | −0.592322 | − | 4.11969i | −0.0350247 | − | 0.243602i | ||||
\(287\) | −2.19061 | + | 5.48523i | −0.129307 | + | 0.323783i | ||||
\(288\) | 0.415415 | + | 0.909632i | 0.0244786 | + | 0.0536006i | ||||
\(289\) | 13.3624 | − | 10.5083i | 0.786024 | − | 0.618136i | ||||
\(290\) | −7.86607 | + | 4.05524i | −0.461912 | + | 0.238132i | ||||
\(291\) | −7.71370 | − | 1.87132i | −0.452185 | − | 0.109699i | ||||
\(292\) | −1.20715 | − | 3.01532i | −0.0706432 | − | 0.176458i | ||||
\(293\) | 7.13606 | − | 8.23546i | 0.416893 | − | 0.481121i | −0.507995 | − | 0.861360i | \(-0.669613\pi\) |
0.924888 | + | 0.380240i | \(0.124159\pi\) | |||||||
\(294\) | −6.05628 | + | 3.51019i | −0.353210 | + | 0.204719i | ||||
\(295\) | 13.8187 | − | 11.9740i | 0.804555 | − | 0.697151i | ||||
\(296\) | 7.74259 | − | 1.87833i | 0.450029 | − | 0.109176i | ||||
\(297\) | 2.77697 | + | 3.89971i | 0.161136 | + | 0.226284i | ||||
\(298\) | 6.50654 | + | 3.75655i | 0.376914 | + | 0.217611i | ||||
\(299\) | −0.667229 | + | 4.11564i | −0.0385868 | + | 0.238014i | ||||
\(300\) | − | 1.77931i | − | 0.102728i | ||||||
\(301\) | −22.7940 | + | 7.91056i | −1.31382 | + | 0.455957i | ||||
\(302\) | 13.7258 | + | 4.03026i | 0.789832 | + | 0.231916i | ||||
\(303\) | −1.56367 | + | 4.51793i | −0.0898306 | + | 0.259548i | ||||
\(304\) | −0.247743 | − | 5.20076i | −0.0142090 | − | 0.298284i | ||||
\(305\) | −5.47302 | − | 15.8133i | −0.313384 | − | 0.905465i | ||||
\(306\) | −0.0233533 | + | 0.00934926i | −0.00133502 | + | 0.000534462i | ||||
\(307\) | 5.18129 | + | 17.6458i | 0.295712 | + | 1.00710i | 0.964595 | + | 0.263734i | \(0.0849542\pi\) |
−0.668884 | + | 0.743367i | \(0.733228\pi\) | |||||||
\(308\) | −9.56556 | + | 8.30270i | −0.545049 | + | 0.473090i | ||||
\(309\) | 5.40274 | − | 0.776797i | 0.307351 | − | 0.0441904i | ||||
\(310\) | 4.64232 | + | 3.30578i | 0.263666 | + | 0.187756i | ||||
\(311\) | −0.690308 | + | 7.22923i | −0.0391438 | + | 0.409932i | 0.954570 | + | 0.297985i | \(0.0963146\pi\) |
−0.993714 | + | 0.111947i | \(0.964291\pi\) | |||||||
\(312\) | 0.807100 | + | 0.323114i | 0.0456930 | + | 0.0182927i | ||||
\(313\) | −1.00244 | + | 21.0437i | −0.0566611 | + | 1.18946i | 0.774185 | + | 0.632960i | \(0.218160\pi\) |
−0.830846 | + | 0.556503i | \(0.812143\pi\) | |||||||
\(314\) | −2.95910 | + | 0.868871i | −0.166992 | + | 0.0490332i | ||||
\(315\) | −4.72626 | + | 0.455315i | −0.266295 | + | 0.0256541i | ||||
\(316\) | 11.3071 | + | 9.79764i | 0.636073 | + | 0.551160i | ||||
\(317\) | 29.2016 | + | 15.0545i | 1.64012 | + | 0.845543i | 0.996799 | + | 0.0799493i | \(0.0254759\pi\) |
0.643325 | + | 0.765593i | \(0.277554\pi\) | |||||||
\(318\) | 1.25935 | − | 0.242720i | 0.0706208 | − | 0.0136110i | ||||
\(319\) | −16.2915 | − | 17.0860i | −0.912149 | − | 0.956634i | ||||
\(320\) | −1.78650 | + | 0.170590i | −0.0998686 | + | 0.00953629i | ||||
\(321\) | 0.349758 | 0.0195216 | ||||||||
\(322\) | 11.6303 | − | 5.07312i | 0.648130 | − | 0.282714i | ||||
\(323\) | 0.130975 | 0.00728763 | ||||||||
\(324\) | −0.995472 | + | 0.0950560i | −0.0553040 | + | 0.00528089i | ||||
\(325\) | −1.06747 | − | 1.11953i | −0.0592127 | − | 0.0621005i | ||||
\(326\) | 11.8005 | − | 2.27436i | 0.653568 | − | 0.125965i | ||||
\(327\) | 6.27328 | + | 3.23410i | 0.346913 | + | 0.178846i | ||||
\(328\) | −1.68717 | − | 1.46194i | −0.0931582 | − | 0.0807220i | ||||
\(329\) | 8.55839 | + | 3.89979i | 0.471840 | + | 0.215002i | ||||
\(330\) | −8.24360 | + | 2.42054i | −0.453795 | + | 0.133246i | ||||
\(331\) | 0.664530 | − | 13.9502i | 0.0365259 | − | 0.766773i | −0.904099 | − | 0.427324i | \(-0.859456\pi\) |
0.940625 | − | 0.339449i | \(-0.110241\pi\) | |||||||
\(332\) | −9.40669 | − | 3.76587i | −0.516259 | − | 0.206679i | ||||
\(333\) | −0.757328 | + | 7.93110i | −0.0415013 | + | 0.434622i | ||||
\(334\) | −4.54580 | − | 3.23705i | −0.248735 | − | 0.177124i | ||||
\(335\) | −6.23262 | + | 0.896116i | −0.340525 | + | 0.0489600i | ||||
\(336\) | −0.502897 | − | 2.59752i | −0.0274353 | − | 0.141706i | ||||
\(337\) | 3.76726 | + | 12.8301i | 0.205216 | + | 0.698901i | 0.996202 | + | 0.0870677i | \(0.0277496\pi\) |
−0.790986 | + | 0.611834i | \(0.790432\pi\) | |||||||
\(338\) | −11.3671 | + | 4.55070i | −0.618289 | + | 0.247526i | ||||
\(339\) | −1.77193 | − | 5.11966i | −0.0962382 | − | 0.278062i | ||||
\(340\) | −0.00214805 | − | 0.0450932i | −0.000116495 | − | 0.00244552i | ||||
\(341\) | −4.97241 | + | 14.3668i | −0.269271 | + | 0.778008i | ||||
\(342\) | 4.99575 | + | 1.46688i | 0.270139 | + | 0.0793200i | ||||
\(343\) | 17.7568 | − | 5.26258i | 0.958779 | − | 0.284153i | ||||
\(344\) | − | 9.11939i | − | 0.491685i | ||||||
\(345\) | 8.60536 | + | 0.154243i | 0.463297 | + | 0.00830419i | ||||
\(346\) | 3.66935 | + | 2.11850i | 0.197265 | + | 0.113891i | ||||
\(347\) | −11.4034 | − | 16.0139i | −0.612169 | − | 0.859671i | 0.385851 | − | 0.922561i | \(-0.373908\pi\) |
−0.998020 | + | 0.0628897i | \(0.979968\pi\) | |||||||
\(348\) | 4.79230 | − | 1.16260i | 0.256894 | − | 0.0623219i | ||||
\(349\) | 16.7873 | − | 14.5463i | 0.898605 | − | 0.778646i | −0.0772618 | − | 0.997011i | \(-0.524618\pi\) |
0.975867 | + | 0.218365i | \(0.0700723\pi\) | |||||||
\(350\) | −1.10601 | + | 4.57583i | −0.0591188 | + | 0.244589i | ||||
\(351\) | −0.569320 | + | 0.657030i | −0.0303880 | + | 0.0350697i | ||||
\(352\) | −1.77930 | − | 4.44448i | −0.0948370 | − | 0.236891i | ||||
\(353\) | −26.3880 | − | 6.40165i | −1.40449 | − | 0.340726i | −0.539277 | − | 0.842129i | \(-0.681302\pi\) |
−0.865214 | + | 0.501403i | \(0.832817\pi\) | |||||||
\(354\) | −9.05598 | + | 4.66868i | −0.481320 | + | 0.248138i | ||||
\(355\) | −0.457442 | + | 0.359737i | −0.0242785 | + | 0.0190928i | ||||
\(356\) | 6.52085 | + | 14.2787i | 0.345604 | + | 0.756768i | ||||
\(357\) | 0.0658691 | − | 0.00952710i | 0.00348616 | − | 0.000504228i | ||||
\(358\) | −0.116788 | − | 0.812280i | −0.00617245 | − | 0.0429303i | ||||
\(359\) | 33.0511 | + | 1.57442i | 1.74437 | + | 0.0830946i | 0.895377 | − | 0.445309i | \(-0.146906\pi\) |
0.848993 | + | 0.528403i | \(0.177209\pi\) | |||||||
\(360\) | 0.423100 | − | 1.74404i | 0.0222993 | − | 0.0919191i | ||||
\(361\) | −6.37432 | − | 5.01282i | −0.335490 | − | 0.263833i | ||||
\(362\) | −12.4626 | − | 2.40197i | −0.655020 | − | 0.126245i | ||||
\(363\) | −6.44404 | − | 10.0271i | −0.338225 | − | 0.526288i | ||||
\(364\) | −1.87477 | − | 1.33264i | −0.0982646 | − | 0.0698494i | ||||
\(365\) | −1.64220 | + | 5.59280i | −0.0859564 | + | 0.292741i | ||||
\(366\) | 0.886328 | + | 9.28204i | 0.0463291 | + | 0.485180i | ||||
\(367\) | 15.5448 | − | 26.9243i | 0.811431 | − | 1.40544i | −0.100432 | − | 0.994944i | \(-0.532023\pi\) |
0.911863 | − | 0.410495i | \(-0.134644\pi\) | |||||||
\(368\) | 0.370242 | + | 4.78152i | 0.0193002 | + | 0.249254i | ||||
\(369\) | 1.93335 | − | 1.11622i | 0.100646 | − | 0.0581081i | ||||
\(370\) | −13.0060 | − | 5.93966i | −0.676151 | − | 0.308788i | ||||
\(371\) | −3.38954 | − | 0.158606i | −0.175976 | − | 0.00823442i | ||||
\(372\) | −2.07959 | − | 2.39997i | −0.107822 | − | 0.124433i | ||||
\(373\) | 9.82196 | − | 19.0519i | 0.508562 | − | 0.986472i | −0.485142 | − | 0.874435i | \(-0.661232\pi\) |
0.993704 | − | 0.112037i | \(-0.0357375\pi\) | |||||||
\(374\) | 0.113805 | − | 0.0393883i | 0.00588471 | − | 0.00203672i | ||||
\(375\) | −7.52073 | + | 9.56339i | −0.388369 | + | 0.493851i | ||||
\(376\) | −2.45307 | + | 2.57270i | −0.126507 | + | 0.132677i | ||||
\(377\) | 2.31781 | − | 3.60658i | 0.119373 | − | 0.185749i | ||||
\(378\) | 2.61914 | + | 0.374327i | 0.134714 | + | 0.0192533i | ||||
\(379\) | 22.8620 | − | 10.4407i | 1.17434 | − | 0.536305i | 0.269897 | − | 0.962889i | \(-0.413011\pi\) |
0.904448 | + | 0.426584i | \(0.140283\pi\) | |||||||
\(380\) | −5.42006 | + | 7.61141i | −0.278043 | + | 0.390457i | ||||
\(381\) | 2.32394 | − | 5.80491i | 0.119059 | − | 0.297395i | ||||
\(382\) | −9.55627 | − | 18.5366i | −0.488941 | − | 0.948413i | ||||
\(383\) | −10.8430 | − | 10.3388i | −0.554051 | − | 0.528287i | 0.360499 | − | 0.932760i | \(-0.382607\pi\) |
−0.914550 | + | 0.404473i | \(0.867455\pi\) | |||||||
\(384\) | 0.989821 | + | 0.142315i | 0.0505116 | + | 0.00726247i | ||||
\(385\) | 22.7046 | − | 1.10070i | 1.15713 | − | 0.0560967i | ||||
\(386\) | 13.6900 | − | 8.79806i | 0.696805 | − | 0.447809i | ||||
\(387\) | 8.61783 | + | 2.98266i | 0.438069 | + | 0.151617i | ||||
\(388\) | −5.74460 | + | 5.47746i | −0.291638 | + | 0.278076i | ||||
\(389\) | −24.7712 | + | 17.6395i | −1.25595 | + | 0.894359i | −0.997430 | − | 0.0716466i | \(-0.977175\pi\) |
−0.258521 | + | 0.966006i | \(0.583235\pi\) | |||||||
\(390\) | −0.780103 | − | 1.35118i | −0.0395021 | − | 0.0684196i | ||||
\(391\) | −0.120587 | + | 0.00357980i | −0.00609836 | + | 0.000181038i | ||||
\(392\) | −0.321311 | + | 6.99262i | −0.0162286 | + | 0.353181i | ||||
\(393\) | −1.95427 | + | 4.27925i | −0.0985797 | + | 0.215860i | ||||
\(394\) | 3.36737 | + | 13.8805i | 0.169646 | + | 0.699289i | ||||
\(395\) | −5.08143 | − | 26.3650i | −0.255674 | − | 1.32656i | ||||
\(396\) | 4.78198 | − | 0.227794i | 0.240304 | − | 0.0114471i | ||||
\(397\) | −6.68261 | + | 34.6727i | −0.335390 | + | 1.74017i | 0.287426 | + | 0.957803i | \(0.407200\pi\) |
−0.622817 | + | 0.782368i | \(0.714012\pi\) | |||||||
\(398\) | 2.85398 | − | 19.8499i | 0.143057 | − | 0.994985i | ||||
\(399\) | −11.9357 | − | 6.87772i | −0.597534 | − | 0.344317i | ||||
\(400\) | −1.49685 | − | 0.961965i | −0.0748424 | − | 0.0480983i | ||||
\(401\) | 10.8698 | + | 13.8221i | 0.542812 | + | 0.690241i | 0.977643 | − | 0.210271i | \(-0.0674345\pi\) |
−0.434831 | + | 0.900512i | \(0.643192\pi\) | |||||||
\(402\) | 3.49276 | + | 0.333518i | 0.174203 | + | 0.0166344i | ||||
\(403\) | −2.74830 | − | 0.262431i | −0.136903 | − | 0.0130726i | ||||
\(404\) | 2.95534 | + | 3.75802i | 0.147034 | + | 0.186969i | ||||
\(405\) | 1.50974 | + | 0.970250i | 0.0750195 | + | 0.0482121i | ||||
\(406\) | −13.0470 | + | 0.0109741i | −0.647512 | + | 0.000544634i | ||||
\(407\) | 5.42819 | − | 37.7539i | 0.269065 | − | 1.87139i | ||||
\(408\) | −0.00476066 | + | 0.0247007i | −0.000235688 | + | 0.00122286i | ||||
\(409\) | 15.4208 | − | 0.734583i | 0.762509 | − | 0.0363228i | 0.337275 | − | 0.941406i | \(-0.390495\pi\) |
0.425234 | + | 0.905083i | \(0.360192\pi\) | |||||||
\(410\) | 0.758217 | + | 3.93400i | 0.0374457 | + | 0.194287i | ||||
\(411\) | −4.70966 | − | 19.4135i | −0.232310 | − | 0.957596i | ||||
\(412\) | 2.26746 | − | 4.96504i | 0.111710 | − | 0.244610i | ||||
\(413\) | 26.1913 | − | 6.37726i | 1.28879 | − | 0.313805i | ||||
\(414\) | −4.63963 | − | 1.21400i | −0.228026 | − | 0.0596650i | ||||
\(415\) | 9.09204 | + | 15.7479i | 0.446311 | + | 0.773033i | ||||
\(416\) | 0.708172 | − | 0.504287i | 0.0347210 | − | 0.0247247i | ||||
\(417\) | 1.31049 | − | 1.24955i | 0.0641748 | − | 0.0611906i | ||||
\(418\) | −23.5555 | − | 8.15262i | −1.15213 | − | 0.398758i | ||||
\(419\) | 5.53631 | − | 3.55797i | 0.270467 | − | 0.173818i | −0.398376 | − | 0.917222i | \(-0.630426\pi\) |
0.668843 | + | 0.743404i | \(0.266790\pi\) | |||||||
\(420\) | −2.17217 | + | 4.22215i | −0.105991 | + | 0.206020i | ||||
\(421\) | −29.1100 | − | 4.18539i | −1.41874 | − | 0.203983i | −0.610115 | − | 0.792313i | \(-0.708877\pi\) |
−0.808621 | + | 0.588330i | \(0.799786\pi\) | |||||||
\(422\) | 1.95326 | + | 1.86243i | 0.0950832 | + | 0.0906616i | ||||
\(423\) | −1.62889 | − | 3.15960i | −0.0791992 | − | 0.153625i | ||||
\(424\) | 0.476667 | − | 1.19066i | 0.0231490 | − | 0.0578234i | ||||
\(425\) | 0.0259627 | − | 0.0364595i | 0.00125938 | − | 0.00176855i | ||||
\(426\) | 0.294968 | − | 0.134708i | 0.0142913 | − | 0.00652660i | ||||
\(427\) | 3.49032 | − | 24.4215i | 0.168909 | − | 1.18184i | ||||
\(428\) | 0.189093 | − | 0.294235i | 0.00914017 | − | 0.0142224i | ||||
\(429\) | 2.87215 | − | 3.01222i | 0.138668 | − | 0.145431i | ||||
\(430\) | −10.1167 | + | 12.8645i | −0.487873 | + | 0.620381i | ||||
\(431\) | 11.6518 | − | 4.03271i | 0.561246 | − | 0.194249i | −0.0316916 | − | 0.999498i | \(-0.510089\pi\) |
0.592937 | + | 0.805249i | \(0.297968\pi\) | |||||||
\(432\) | −0.458227 | + | 0.888835i | −0.0220464 | + | 0.0427641i | ||||
\(433\) | 19.9807 | + | 23.0590i | 0.960213 | + | 1.10814i | 0.994073 | + | 0.108718i | \(0.0346746\pi\) |
−0.0338599 | + | 0.999427i | \(0.510780\pi\) | |||||||
\(434\) | 3.85625 | + | 7.46467i | 0.185106 | + | 0.358315i | ||||
\(435\) | −8.05012 | − | 3.67637i | −0.385974 | − | 0.176268i | ||||
\(436\) | 6.11229 | − | 3.52893i | 0.292726 | − | 0.169005i | ||||
\(437\) | 20.0773 | + | 14.8464i | 0.960429 | + | 0.710198i | ||||
\(438\) | 1.62399 | − | 2.81283i | 0.0775972 | − | 0.134402i | ||||
\(439\) | −0.186138 | − | 1.94932i | −0.00888386 | − | 0.0930360i | 0.989943 | − | 0.141470i | \(-0.0451829\pi\) |
−0.998826 | + | 0.0484342i | \(0.984577\pi\) | |||||||
\(440\) | −2.42054 | + | 8.24360i | −0.115395 | + | 0.392998i | ||||
\(441\) | −6.50294 | − | 2.59070i | −0.309664 | − | 0.123367i | ||||
\(442\) | 0.0118235 | + | 0.0183977i | 0.000562385 | + | 0.000875087i | ||||
\(443\) | −18.7510 | − | 3.61397i | −0.890889 | − | 0.171705i | −0.276787 | − | 0.960931i | \(-0.589270\pi\) |
−0.614102 | + | 0.789226i | \(0.710482\pi\) | |||||||
\(444\) | 6.26262 | + | 4.92498i | 0.297211 | + | 0.233729i | ||||
\(445\) | 6.64148 | − | 27.3765i | 0.314836 | − | 1.29777i | ||||
\(446\) | 21.9163 | + | 1.04400i | 1.03777 | + | 0.0494349i | ||||
\(447\) | 1.06923 | + | 7.43663i | 0.0505727 | + | 0.351741i | ||||
\(448\) | −2.45706 | − | 0.981260i | −0.116085 | − | 0.0463602i | ||||
\(449\) | −10.7391 | − | 23.5154i | −0.506811 | − | 1.10976i | −0.974195 | − | 0.225707i | \(-0.927531\pi\) |
0.467384 | − | 0.884054i | \(-0.345196\pi\) | |||||||
\(450\) | 1.39863 | − | 1.09989i | 0.0659320 | − | 0.0518495i | ||||
\(451\) | −9.49952 | + | 4.89734i | −0.447315 | + | 0.230607i | ||||
\(452\) | −5.26492 | − | 1.27725i | −0.247641 | − | 0.0600770i | ||||
\(453\) | 5.31673 | + | 13.2806i | 0.249802 | + | 0.623975i | ||||
\(454\) | −1.87821 | + | 2.16757i | −0.0881488 | + | 0.101729i | ||||
\(455\) | 1.16630 | + | 3.95973i | 0.0546770 | + | 0.185635i | ||||
\(456\) | 3.93493 | − | 3.40963i | 0.184270 | − | 0.159671i | ||||
\(457\) | −34.5965 | + | 8.39302i | −1.61836 | + | 0.392609i | −0.939741 | − | 0.341886i | \(-0.888934\pi\) |
−0.678614 | + | 0.734495i | \(0.737419\pi\) | |||||||
\(458\) | 12.7902 | + | 17.9613i | 0.597646 | + | 0.839276i | ||||
\(459\) | −0.0217851 | − | 0.0125776i | −0.00101684 | − | 0.000587073i | ||||
\(460\) | 4.78217 | − | 7.15590i | 0.222970 | − | 0.333645i | ||||
\(461\) | − | 32.7567i | − | 1.52563i | −0.646616 | − | 0.762816i | \(-0.723816\pi\) | ||
0.646616 | − | 0.762816i | \(-0.276184\pi\) | |||||||
\(462\) | −12.4394 | − | 2.38665i | −0.578733 | − | 0.111037i | ||||
\(463\) | −2.33689 | − | 0.686173i | −0.108605 | − | 0.0318892i | 0.226979 | − | 0.973900i | \(-0.427115\pi\) |
−0.335583 | + | 0.942011i | \(0.608933\pi\) | |||||||
\(464\) | 1.61287 | − | 4.66009i | 0.0748757 | − | 0.216339i | ||||
\(465\) | 0.271172 | + | 5.69261i | 0.0125753 | + | 0.263988i | ||||
\(466\) | −1.15113 | − | 3.32596i | −0.0533249 | − | 0.154072i | ||||
\(467\) | −20.2034 | + | 8.08820i | −0.934900 | + | 0.374277i | −0.788561 | − | 0.614957i | \(-0.789173\pi\) |
−0.146339 | + | 0.989234i | \(0.546749\pi\) | |||||||
\(468\) | 0.244931 | + | 0.834159i | 0.0113220 | + | 0.0385590i | ||||
\(469\) | −8.77499 | − | 3.02879i | −0.405191 | − | 0.139857i | ||||
\(470\) | 6.31455 | − | 0.907895i | 0.291269 | − | 0.0418781i | ||||
\(471\) | −2.51218 | − | 1.78891i | −0.115755 | − | 0.0824287i | ||||
\(472\) | −0.968487 | + | 10.1425i | −0.0445782 | + | 0.466844i | ||||
\(473\) | −40.5309 | − | 16.2261i | −1.86361 | − | 0.746078i | ||||
\(474\) | −0.711892 | + | 14.9445i | −0.0326983 | + | 0.686422i | ||||
\(475\) | −8.88897 | + | 2.61004i | −0.407854 | + | 0.119757i | ||||
\(476\) | 0.0275968 | − | 0.0605633i | 0.00126490 | − | 0.00277592i | ||||
\(477\) | 0.969269 | + | 0.839876i | 0.0443798 | + | 0.0384553i | ||||
\(478\) | 22.8336 | + | 11.7716i | 1.04439 | + | 0.538419i | ||||
\(479\) | 33.1959 | − | 6.39799i | 1.51676 | − | 0.292332i | 0.638166 | − | 0.769899i | \(-0.279693\pi\) |
0.878595 | + | 0.477567i | \(0.158481\pi\) | |||||||
\(480\) | −1.23844 | − | 1.29883i | −0.0565266 | − | 0.0592834i | ||||
\(481\) | 6.89510 | − | 0.658402i | 0.314389 | − | 0.0300206i | ||||
\(482\) | 12.8721 | 0.586307 | ||||||||
\(483\) | 11.1771 | + | 6.00603i | 0.508576 | + | 0.273284i | ||||
\(484\) | −11.9193 | −0.541785 | ||||||||
\(485\) | 14.1803 | − | 1.35405i | 0.643893 | − | 0.0614843i | ||||
\(486\) | −0.690079 | − | 0.723734i | −0.0313026 | − | 0.0328292i | ||||
\(487\) | −4.18125 | + | 0.805869i | −0.189470 | + | 0.0365174i | −0.283104 | − | 0.959089i | \(-0.591364\pi\) |
0.0936332 | + | 0.995607i | \(0.470152\pi\) | |||||||
\(488\) | 8.28774 | + | 4.27262i | 0.375168 | + | 0.193413i | ||||
\(489\) | 9.08234 | + | 7.86989i | 0.410717 | + | 0.355889i | ||||
\(490\) | 8.21064 | − | 9.50786i | 0.370919 | − | 0.429521i | ||||
\(491\) | 6.91875 | − | 2.03153i | 0.312239 | − | 0.0916816i | −0.121859 | − | 0.992547i | \(-0.538885\pi\) |
0.434098 | + | 0.900866i | \(0.357067\pi\) | |||||||
\(492\) | 0.106224 | − | 2.22991i | 0.00478894 | − | 0.100532i | ||||
\(493\) | 0.115162 | + | 0.0461041i | 0.00518665 | + | 0.00207642i | ||||
\(494\) | 0.430275 | − | 4.50604i | 0.0193590 | − | 0.202736i | ||||
\(495\) | −6.99853 | − | 4.98363i | −0.314560 | − | 0.223997i | ||||
\(496\) | −3.14330 | + | 0.451938i | −0.141138 | + | 0.0202926i | ||||
\(497\) | −0.842302 | + | 0.163075i | −0.0377824 | + | 0.00731493i | ||||
\(498\) | −2.85466 | − | 9.72207i | −0.127920 | − | 0.435656i | ||||
\(499\) | 3.05036 | − | 1.22118i | 0.136553 | − | 0.0546676i | −0.302379 | − | 0.953188i | \(-0.597781\pi\) |
0.438933 | + | 0.898520i | \(0.355357\pi\) | |||||||
\(500\) | 3.97922 | + | 11.4972i | 0.177956 | + | 0.514170i | ||||
\(501\) | −0.265534 | − | 5.57425i | −0.0118632 | − | 0.249039i | ||||
\(502\) | −0.528739 | + | 1.52769i | −0.0235988 | + | 0.0681841i | ||||
\(503\) | −37.9112 | − | 11.1317i | −1.69038 | − | 0.496340i | −0.711829 | − | 0.702353i | \(-0.752133\pi\) |
−0.978549 | + | 0.206013i | \(0.933951\pi\) | |||||||
\(504\) | 1.73092 | − | 2.00098i | 0.0771011 | − | 0.0891308i | ||||
\(505\) | − | 8.57990i | − | 0.381801i | ||||||
\(506\) | 21.9101 | + | 6.86222i | 0.974023 | + | 0.305063i | ||||
\(507\) | −10.6038 | − | 6.12209i | −0.470930 | − | 0.271892i | ||||
\(508\) | −3.62699 | − | 5.09339i | −0.160922 | − | 0.225983i | ||||
\(509\) | 28.1899 | − | 6.83879i | 1.24949 | − | 0.303124i | 0.444162 | − | 0.895947i | \(-0.353502\pi\) |
0.805333 | + | 0.592823i | \(0.201986\pi\) | |||||||
\(510\) | 0.0341178 | − | 0.0295632i | 0.00151076 | − | 0.00130908i | ||||
\(511\) | −5.92485 | + | 6.22428i | −0.262100 | + | 0.275346i | ||||
\(512\) | 0.654861 | − | 0.755750i | 0.0289410 | − | 0.0333997i | ||||
\(513\) | 1.93512 | + | 4.83369i | 0.0854376 | + | 0.213413i | ||||
\(514\) | 16.0763 | + | 3.90008i | 0.709097 | + | 0.172025i | ||||
\(515\) | −8.70670 | + | 4.48862i | −0.383663 | + | 0.197792i | ||||
\(516\) | 7.16833 | − | 5.63724i | 0.315568 | − | 0.248165i | ||||
\(517\) | 7.06958 | + | 15.4802i | 0.310920 | + | 0.680819i | ||||
\(518\) | −13.0442 | − | 16.5584i | −0.573130 | − | 0.727533i | ||||
\(519\) | 0.602988 | + | 4.19387i | 0.0264682 | + | 0.184090i | ||||
\(520\) | −1.55844 | − | 0.0742376i | −0.0683421 | − | 0.00325553i | ||||
\(521\) | 5.94515 | − | 24.5062i | 0.260462 | − | 1.07364i | −0.679857 | − | 0.733344i | \(-0.737958\pi\) |
0.940319 | − | 0.340294i | \(-0.110526\pi\) | |||||||
\(522\) | 3.87627 | + | 3.04833i | 0.169660 | + | 0.133422i | ||||
\(523\) | −39.5297 | − | 7.61872i | −1.72851 | − | 0.333144i | −0.774424 | − | 0.632667i | \(-0.781960\pi\) |
−0.954089 | + | 0.299523i | \(0.903172\pi\) | |||||||
\(524\) | 2.54338 | + | 3.95757i | 0.111108 | + | 0.172887i | ||||
\(525\) | −4.28054 | + | 1.95921i | −0.186818 | + | 0.0855069i | ||||
\(526\) | −5.48606 | + | 18.6838i | −0.239203 | + | 0.814652i | ||||
\(527\) | −0.00759341 | − | 0.0795218i | −0.000330774 | − | 0.00346402i | ||||
\(528\) | 2.39370 | − | 4.14602i | 0.104173 | − | 0.180432i | ||||
\(529\) | −18.8908 | − | 13.1201i | −0.821338 | − | 0.570441i | ||||
\(530\) | −1.99330 | + | 1.15083i | −0.0865832 | + | 0.0499888i | ||||
\(531\) | −9.26787 | − | 4.23249i | −0.402191 | − | 0.183675i | ||||
\(532\) | −12.2389 | + | 6.32260i | −0.530622 | + | 0.274120i | ||||
\(533\) | −1.27097 | − | 1.46678i | −0.0550519 | − | 0.0635333i | ||||
\(534\) | −7.19287 | + | 13.9522i | −0.311266 | + | 0.603771i | ||||
\(535\) | −0.593163 | + | 0.205296i | −0.0256447 | + | 0.00887571i | ||||
\(536\) | 2.16890 | − | 2.75798i | 0.0936822 | − | 0.119127i | ||||
\(537\) | 0.566301 | − | 0.593920i | 0.0244377 | − | 0.0256295i | ||||
\(538\) | −10.1334 | + | 15.7679i | −0.436882 | + | 0.679802i | ||||
\(539\) | 30.5068 | + | 13.8700i | 1.31402 | + | 0.597424i | ||||
\(540\) | 1.63245 | − | 0.745516i | 0.0702496 | − | 0.0320819i | ||||
\(541\) | −22.9533 | + | 32.2334i | −0.986838 | + | 1.38582i | −0.0651561 | + | 0.997875i | \(0.520755\pi\) |
−0.921682 | + | 0.387946i | \(0.873185\pi\) | |||||||
\(542\) | 4.87149 | − | 12.1684i | 0.209248 | − | 0.522677i | ||||
\(543\) | −5.81579 | − | 11.2811i | −0.249579 | − | 0.484117i | ||||
\(544\) | 0.0182057 | + | 0.0173591i | 0.000780563 | + | 0.000744265i | ||||
\(545\) | −12.5373 | − | 1.80260i | −0.537040 | − | 0.0772147i | ||||
\(546\) | −0.111378 | − | 2.29745i | −0.00476654 | − | 0.0983219i | ||||
\(547\) | −19.8943 | + | 12.7853i | −0.850620 | + | 0.546661i | −0.891768 | − | 0.452493i | \(-0.850535\pi\) |
0.0411478 | + | 0.999153i | \(0.486899\pi\) | |||||||
\(548\) | −18.8779 | − | 6.53370i | −0.806424 | − | 0.279106i | ||||
\(549\) | −6.74829 | + | 6.43448i | −0.288010 | + | 0.274617i | ||||
\(550\) | −6.93877 | + | 4.94108i | −0.295870 | + | 0.210688i | ||||
\(551\) | −12.8378 | − | 22.2357i | −0.546909 | − | 0.947274i | ||||
\(552\) | −3.52966 | + | 3.24677i | −0.150232 | + | 0.138192i | ||||
\(553\) | 11.1202 | − | 37.9901i | 0.472879 | − | 1.61550i | ||||
\(554\) | −0.329010 | + | 0.720432i | −0.0139783 | + | 0.0306082i | ||||
\(555\) | −3.37091 | − | 13.8951i | −0.143087 | − | 0.589813i | ||||
\(556\) | −0.342683 | − | 1.77801i | −0.0145330 | − | 0.0754043i | ||||
\(557\) | 0.635131 | − | 0.0302550i | 0.0269113 | − | 0.00128195i | −0.0341219 | − | 0.999418i | \(-0.510863\pi\) |
0.0610333 | + | 0.998136i | \(0.480560\pi\) | |||||||
\(558\) | 0.600990 | − | 3.11823i | 0.0254419 | − | 0.132005i | ||||
\(559\) | 1.12830 | − | 7.84748i | 0.0477219 | − | 0.331913i | ||||
\(560\) | 2.37753 | + | 4.11001i | 0.100469 | + | 0.173680i | ||||
\(561\) | 0.101311 | + | 0.0651085i | 0.00427735 | + | 0.00274888i | ||||
\(562\) | 1.20753 | + | 1.53550i | 0.0509365 | + | 0.0647711i | ||||
\(563\) | 27.1031 | + | 2.58803i | 1.14226 | + | 0.109073i | 0.648985 | − | 0.760801i | \(-0.275194\pi\) |
0.493275 | + | 0.869874i | \(0.335800\pi\) | |||||||
\(564\) | −3.53867 | − | 0.337902i | −0.149005 | − | 0.0142282i | ||||
\(565\) | 6.01014 | + | 7.64251i | 0.252848 | + | 0.321523i | ||||
\(566\) | −26.1434 | − | 16.8013i | −1.09889 | − | 0.706213i | ||||
\(567\) | 1.32480 | + | 2.29017i | 0.0556365 | + | 0.0961783i | ||||
\(568\) | 0.0461487 | − | 0.320971i | 0.00193636 | − | 0.0134677i | ||||
\(569\) | 5.88023 | − | 30.5095i | 0.246512 | − | 1.27903i | −0.621866 | − | 0.783123i | \(-0.713625\pi\) |
0.868378 | − | 0.495902i | \(-0.165163\pi\) | |||||||
\(570\) | −9.33343 | + | 0.444606i | −0.390935 | + | 0.0186225i | ||||
\(571\) | −3.52171 | − | 18.2724i | −0.147379 | − | 0.764675i | −0.978124 | − | 0.208022i | \(-0.933297\pi\) |
0.830745 | − | 0.556653i | \(-0.187915\pi\) | |||||||
\(572\) | −0.981241 | − | 4.04473i | −0.0410278 | − | 0.169119i | ||||
\(573\) | 8.66344 | − | 18.9703i | 0.361920 | − | 0.792495i | ||||
\(574\) | −1.65928 | + | 5.66863i | −0.0692571 | + | 0.236604i | ||||
\(575\) | 8.11265 | − | 2.64599i | 0.338321 | − | 0.110345i | ||||
\(576\) | 0.500000 | + | 0.866025i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | 1.48293 | − | 1.05599i | 0.0617350 | − | 0.0439613i | −0.548773 | − | 0.835972i | \(-0.684905\pi\) |
0.610508 | + | 0.792010i | \(0.290965\pi\) | |||||||
\(578\) | 12.3030 | − | 11.7309i | 0.511738 | − | 0.487941i | ||||
\(579\) | 15.3784 | + | 5.32250i | 0.639103 | + | 0.221196i | ||||
\(580\) | −7.44498 | + | 4.78460i | −0.309136 | + | 0.198670i | ||||
\(581\) | 1.29810 | + | 26.7766i | 0.0538544 | + | 1.11088i | ||||
\(582\) | −7.85665 | − | 1.12962i | −0.325669 | − | 0.0468241i | ||||
\(583\) | −4.44371 | − | 4.23707i | −0.184040 | − | 0.175481i | ||||
\(584\) | −1.48831 | − | 2.88692i | −0.0615867 | − | 0.119462i | ||||
\(585\) | 0.579870 | − | 1.44845i | 0.0239747 | − | 0.0598858i | ||||
\(586\) | 6.32092 | − | 8.87649i | 0.261115 | − | 0.366684i | ||||
\(587\) | 2.66424 | − | 1.21672i | 0.109965 | − | 0.0502194i | −0.359673 | − | 0.933078i | \(-0.617112\pi\) |
0.469638 | + | 0.882859i | \(0.344384\pi\) | |||||||
\(588\) | −5.69519 | + | 4.06998i | −0.234866 | + | 0.167843i | ||||
\(589\) | −8.93915 | + | 13.9096i | −0.368331 | + | 0.573135i | ||||
\(590\) | 12.6179 | − | 13.2333i | 0.519471 | − | 0.544806i | ||||
\(591\) | −8.82923 | + | 11.2273i | −0.363186 | + | 0.461829i | ||||
\(592\) | 7.52899 | − | 2.60581i | 0.309439 | − | 0.107098i | ||||
\(593\) | 11.7894 | − | 22.8683i | 0.484134 | − | 0.939090i | −0.512622 | − | 0.858614i | \(-0.671326\pi\) |
0.996757 | − | 0.0804755i | \(-0.0256439\pi\) | |||||||
\(594\) | 3.13509 | + | 3.61808i | 0.128634 | + | 0.148452i | ||||
\(595\) | −0.106117 | + | 0.0548202i | −0.00435037 | + | 0.00224741i | ||||
\(596\) | 6.83416 | + | 3.12106i | 0.279938 | + | 0.127843i | ||||
\(597\) | 17.3673 | − | 10.0270i | 0.710795 | − | 0.410378i | ||||
\(598\) | −0.272991 | + | 4.16043i | −0.0111634 | + | 0.170133i | ||||
\(599\) | 3.90791 | − | 6.76869i | 0.159673 | − | 0.276561i | −0.775078 | − | 0.631866i | \(-0.782289\pi\) |
0.934751 | + | 0.355304i | \(0.115623\pi\) | |||||||
\(600\) | −0.169134 | − | 1.77125i | −0.00690486 | − | 0.0723109i | ||||
\(601\) | −7.42334 | + | 25.2816i | −0.302804 | + | 1.03126i | 0.657767 | + | 0.753222i | \(0.271501\pi\) |
−0.960571 | + | 0.278035i | \(0.910317\pi\) | |||||||
\(602\) | −21.9388 | + | 10.0414i | −0.894160 | + | 0.409259i | ||||
\(603\) | 1.89692 | + | 2.95166i | 0.0772484 | + | 0.120201i | ||||
\(604\) | 14.0468 | + | 2.70729i | 0.571555 | + | 0.110158i | ||||
\(605\) | 16.8142 | + | 13.2228i | 0.683594 | + | 0.537585i | ||||
\(606\) | −1.12713 | + | 4.64611i | −0.0457867 | + | 0.188735i | ||||
\(607\) | 15.1764 | + | 0.722940i | 0.615990 | + | 0.0293432i | 0.353258 | − | 0.935526i | \(-0.385074\pi\) |
0.262731 | + | 0.964869i | \(0.415377\pi\) | |||||||
\(608\) | −0.740984 | − | 5.15366i | −0.0300509 | − | 0.209009i | ||||
\(609\) | −8.07375 | − | 10.2489i | −0.327165 | − | 0.415305i | ||||
\(610\) | −6.95139 | − | 15.2214i | −0.281453 | − | 0.616297i | ||||
\(611\) | −2.42924 | + | 1.91037i | −0.0982764 | + | 0.0772854i | ||||
\(612\) | −0.0223589 | + | 0.0115268i | −0.000903804 | + | 0.000465943i | ||||
\(613\) | −5.11514 | − | 1.24092i | −0.206598 | − | 0.0501202i | 0.131124 | − | 0.991366i | \(-0.458141\pi\) |
−0.337722 | + | 0.941246i | \(0.609657\pi\) | |||||||
\(614\) | 6.83517 | + | 17.0734i | 0.275845 | + | 0.689028i | ||||
\(615\) | −2.62364 | + | 3.02784i | −0.105795 | + | 0.122094i | ||||
\(616\) | −8.73303 | + | 9.17437i | −0.351864 | + | 0.369646i | ||||
\(617\) | 15.1505 | − | 13.1280i | 0.609935 | − | 0.528512i | −0.294208 | − | 0.955741i | \(-0.595056\pi\) |
0.904143 | + | 0.427230i | \(0.140510\pi\) | |||||||
\(618\) | 5.30444 | − | 1.28684i | 0.213376 | − | 0.0517644i | ||||
\(619\) | −2.38546 | − | 3.34991i | −0.0958797 | − | 0.134644i | 0.763849 | − | 0.645395i | \(-0.223307\pi\) |
−0.859729 | + | 0.510750i | \(0.829368\pi\) | |||||||
\(620\) | 4.93553 | + | 2.84953i | 0.198216 | + | 0.114440i | ||||
\(621\) | −1.91376 | − | 4.39744i | −0.0767965 | − | 0.176463i | ||||
\(622\) | 7.26211i | 0.291184i | ||||||||
\(623\) | 27.1705 | − | 31.4098i | 1.08856 | − | 1.25841i | ||||
\(624\) | 0.834159 | + | 0.244931i | 0.0333931 | + | 0.00980510i | ||||
\(625\) | 4.23145 | − | 12.2260i | 0.169258 | − | 0.489039i | ||||
\(626\) | 1.00244 | + | 21.0437i | 0.0400654 | + | 0.841077i | ||||
\(627\) | −8.15262 | − | 23.5555i | −0.325584 | − | 0.940714i | ||||
\(628\) | −2.86311 | + | 1.14622i | −0.114251 | + | 0.0457391i | ||||
\(629\) | 0.0564638 | + | 0.192298i | 0.00225136 | + | 0.00766742i | ||||
\(630\) | −4.66158 | + | 0.902513i | −0.185722 | + | 0.0359570i | ||||
\(631\) | −10.4912 | + | 1.50840i | −0.417646 | + | 0.0600485i | −0.347935 | − | 0.937519i | \(-0.613117\pi\) |
−0.0697115 | + | 0.997567i | \(0.522208\pi\) | |||||||
\(632\) | 12.1872 | + | 8.67847i | 0.484781 | + | 0.345211i | ||||
\(633\) | −0.256543 | + | 2.68664i | −0.0101967 | + | 0.106784i | ||||
\(634\) | 30.5004 | + | 12.2105i | 1.21132 | + | 0.484941i | ||||
\(635\) | −0.533940 | + | 11.2088i | −0.0211888 | + | 0.444807i | ||||
\(636\) | 1.23058 | − | 0.361329i | 0.0487955 | − | 0.0143276i | ||||
\(637\) | −1.14166 | + | 5.97758i | −0.0452341 | + | 0.236840i | ||||
\(638\) | −17.8419 | − | 15.4601i | −0.706366 | − | 0.612070i | ||||
\(639\) | 0.288225 | + | 0.148590i | 0.0114020 | + | 0.00587813i | ||||
\(640\) | −1.76220 | + | 0.339636i | −0.0696570 | + | 0.0134253i | ||||
\(641\) | 14.0095 | + | 14.6928i | 0.553344 | + | 0.580330i | 0.939692 | − | 0.342023i | \(-0.111112\pi\) |
−0.386348 | + | 0.922353i | \(0.626264\pi\) | |||||||
\(642\) | 0.348174 | − | 0.0332466i | 0.0137413 | − | 0.00131214i | ||||
\(643\) | 15.0682 | 0.594231 | 0.297115 | − | 0.954842i | \(-0.403975\pi\) | ||||
0.297115 | + | 0.954842i | \(0.403975\pi\) | |||||||
\(644\) | 11.0954 | − | 6.15567i | 0.437220 | − | 0.242568i | ||||
\(645\) | −16.3659 | −0.644408 | ||||||||
\(646\) | 0.130382 | − | 0.0124499i | 0.00512980 | − | 0.000489836i | ||||
\(647\) | −2.68040 | − | 2.81113i | −0.105378 | − | 0.110517i | 0.668933 | − | 0.743323i | \(-0.266751\pi\) |
−0.774310 | + | 0.632806i | \(0.781903\pi\) | |||||||
\(648\) | −0.981929 | + | 0.189251i | −0.0385738 | + | 0.00743449i | ||||
\(649\) | 43.3547 | + | 22.3509i | 1.70182 | + | 0.877349i | ||||
\(650\) | −1.16906 | − | 1.01299i | −0.0458542 | − | 0.0397329i | ||||
\(651\) | −3.48385 | + | 7.64557i | −0.136543 | + | 0.299654i | ||||
\(652\) | 11.5309 | − | 3.38576i | 0.451583 | − | 0.132597i | ||||
\(653\) | −0.745635 | + | 15.6528i | −0.0291790 | + | 0.612542i | 0.936165 | + | 0.351561i | \(0.114349\pi\) |
−0.965344 | + | 0.260981i | \(0.915954\pi\) | |||||||
\(654\) | 6.55229 | + | 2.62314i | 0.256215 | + | 0.102573i | ||||
\(655\) | 0.802521 | − | 8.40438i | 0.0313571 | − | 0.328386i | ||||
\(656\) | −1.81849 | − | 1.29494i | −0.0710002 | − | 0.0505590i | ||||
\(657\) | 3.21492 | − | 0.462235i | 0.125426 | − | 0.0180335i | ||||
\(658\) | 8.89034 | + | 3.06861i | 0.346582 | + | 0.119627i | ||||
\(659\) | −8.63387 | − | 29.4043i | −0.336328 | − | 1.14543i | −0.937986 | − | 0.346673i | \(-0.887311\pi\) |
0.601658 | − | 0.798754i | \(-0.294507\pi\) | |||||||
\(660\) | −7.97619 | + | 3.19318i | −0.310473 | + | 0.124294i | ||||
\(661\) | −5.08542 | − | 14.6934i | −0.197800 | − | 0.571506i | 0.801862 | − | 0.597510i | \(-0.203843\pi\) |
−0.999662 | + | 0.0260039i | \(0.991722\pi\) | |||||||
\(662\) | −0.664530 | − | 13.9502i | −0.0258277 | − | 0.542190i | ||||
\(663\) | −0.00715276 | + | 0.0206665i | −0.000277790 | + | 0.000802622i | ||||
\(664\) | −9.72207 | − | 2.85466i | −0.377289 | − | 0.110782i | ||||
\(665\) | 24.2791 | + | 4.65824i | 0.941504 | + | 0.180639i | ||||
\(666\) | 7.96717i | 0.308722i | ||||||||
\(667\) | 12.4274 | + | 20.1214i | 0.481191 | + | 0.779102i | ||||
\(668\) | −4.83292 | − | 2.79029i | −0.186991 | − | 0.107959i | ||||
\(669\) | 12.7271 | + | 17.8727i | 0.492058 | + | 0.690999i | ||||
\(670\) | −6.11922 | + | 1.48451i | −0.236406 | + | 0.0573515i | ||||
\(671\) | 33.7359 | − | 29.2324i | 1.30236 | − | 1.12850i | ||||
\(672\) | −0.747529 | − | 2.53795i | −0.0288366 | − | 0.0979036i | ||||
\(673\) | −24.8092 | + | 28.6314i | −0.956326 | + | 1.10366i | 0.0382106 | + | 0.999270i | \(0.487834\pi\) |
−0.994537 | + | 0.104389i | \(0.966711\pi\) | |||||||
\(674\) | 4.96979 | + | 12.4139i | 0.191429 | + | 0.478167i | ||||
\(675\) | 1.72915 | + | 0.419487i | 0.0665550 | + | 0.0161461i | ||||
\(676\) | −10.8831 | + | 5.61061i | −0.418580 | + | 0.215793i | ||||
\(677\) | −32.4061 | + | 25.4845i | −1.24547 | + | 0.979447i | −0.245519 | + | 0.969392i | \(0.578958\pi\) |
−0.999949 | + | 0.0100552i | \(0.996799\pi\) | |||||||
\(678\) | −2.25056 | − | 4.92805i | −0.0864324 | − | 0.189261i | ||||
\(679\) | 19.5028 | + | 7.78870i | 0.748447 | + | 0.298903i | ||||
\(680\) | −0.00642471 | − | 0.0446848i | −0.000246376 | − | 0.00171358i | ||||
\(681\) | −2.86486 | − | 0.136470i | −0.109782 | − | 0.00522954i | ||||
\(682\) | −3.58424 | + | 14.7744i | −0.137248 | + | 0.565742i | ||||
\(683\) | 35.7716 | + | 28.1311i | 1.36876 | + | 1.07641i | 0.988450 | + | 0.151550i | \(0.0484265\pi\) |
0.380314 | + | 0.924857i | \(0.375816\pi\) | |||||||
\(684\) | 5.11257 | + | 0.985366i | 0.195484 | + | 0.0376764i | ||||
\(685\) | 19.3823 | + | 30.1594i | 0.740559 | + | 1.15233i | ||||
\(686\) | 17.1762 | − | 6.92665i | 0.655790 | − | 0.264461i | ||||
\(687\) | −6.21216 | + | 21.1567i | −0.237009 | + | 0.807178i | ||||
\(688\) | −0.866854 | − | 9.07810i | −0.0330485 | − | 0.346099i | ||||
\(689\) | 0.557498 | − | 0.965615i | 0.0212390 | − | 0.0367870i | ||||
\(690\) | 8.58105 | − | 0.664446i | 0.326675 | − | 0.0252950i | ||||
\(691\) | 12.7988 | − | 7.38937i | 0.486888 | − | 0.281105i | −0.236395 | − | 0.971657i | \(-0.575966\pi\) |
0.723283 | + | 0.690552i | \(0.242632\pi\) | |||||||
\(692\) | 3.85411 | + | 1.76011i | 0.146511 | + | 0.0669094i | ||||
\(693\) | −5.81350 | − | 11.2534i | −0.220836 | − | 0.427480i | ||||
\(694\) | −12.8740 | − | 14.8574i | −0.488692 | − | 0.563980i | ||||
\(695\) | −1.48905 | + | 2.88835i | −0.0564828 | + | 0.109561i | ||||
\(696\) | 4.66009 | − | 1.61287i | 0.176640 | − | 0.0611358i | ||||
\(697\) | 0.0347143 | − | 0.0441428i | 0.00131490 | − | 0.00167203i | ||||
\(698\) | 15.3286 | − | 16.0762i | 0.580196 | − | 0.608492i | ||||
\(699\) | 1.90280 | − | 2.96082i | 0.0719706 | − | 0.111988i | ||||
\(700\) | −0.666042 | + | 4.66025i | −0.0251740 | + | 0.176141i | ||||
\(701\) | 15.4753 | − | 7.06733i | 0.584494 | − | 0.266929i | −0.101145 | − | 0.994872i | \(-0.532250\pi\) |
0.685638 | + | 0.727942i | \(0.259523\pi\) | |||||||
\(702\) | −0.504287 | + | 0.708172i | −0.0190331 | + | 0.0267282i | ||||
\(703\) | 15.4174 | − | 38.5109i | 0.581479 | − | 1.45247i | ||||
\(704\) | −2.19372 | − | 4.25522i | −0.0826788 | − | 0.160375i | ||||
\(705\) | 4.61705 | + | 4.40235i | 0.173888 | + | 0.165802i | ||||
\(706\) | −26.8770 | − | 3.86433i | −1.01153 | − | 0.145436i | ||||
\(707\) | 5.78665 | − | 11.2478i | 0.217630 | − | 0.423016i | ||||
\(708\) | −8.57119 | + | 5.50837i | −0.322125 | + | 0.207017i | ||||
\(709\) | −3.42387 | − | 1.18501i | −0.128586 | − | 0.0445041i | 0.262017 | − | 0.965063i | \(-0.415612\pi\) |
−0.390603 | + | 0.920559i | \(0.627734\pi\) | |||||||
\(710\) | −0.421176 | + | 0.401590i | −0.0158064 | + | 0.0150714i | ||||
\(711\) | −12.1872 | + | 8.67847i | −0.457056 | + | 0.325468i | ||||
\(712\) | 7.84859 | + | 13.5942i | 0.294138 | + | 0.509463i | ||||
\(713\) | 7.85002 | − | 13.0508i | 0.293985 | − | 0.488755i | ||||
\(714\) | 0.0646652 | − | 0.0157452i | 0.00242004 | − | 0.000589250i | ||||
\(715\) | −3.10288 | + | 6.79435i | −0.116041 | + | 0.254094i | ||||
\(716\) | −0.193472 | − | 0.797500i | −0.00723037 | − | 0.0298040i | ||||
\(717\) | 4.86175 | + | 25.2252i | 0.181565 | + | 0.942051i | ||||
\(718\) | 33.0511 | − | 1.57442i | 1.23346 | − | 0.0587568i | ||||
\(719\) | −4.72834 | + | 24.5330i | −0.176338 | + | 0.914926i | 0.780688 | + | 0.624921i | \(0.214869\pi\) |
−0.957025 | + | 0.290005i | \(0.906343\pi\) | |||||||
\(720\) | 0.255402 | − | 1.77636i | 0.00951828 | − | 0.0662011i | ||||
\(721\) | −14.4413 | + | 0.0121468i | −0.537822 | + | 0.000452372i | ||||
\(722\) | −6.82195 | − | 4.38420i | −0.253887 | − | 0.163163i | ||||
\(723\) | 7.95699 | + | 10.1181i | 0.295923 | + | 0.376297i | ||||
\(724\) | −12.6345 | − | 1.20645i | −0.469557 | − | 0.0448373i | ||||
\(725\) | −8.73457 | − | 0.834050i | −0.324394 | − | 0.0309759i | ||||
\(726\) | −7.36800 | − | 9.36918i | −0.273452 | − | 0.347723i | ||||
\(727\) | −35.5320 | − | 22.8350i | −1.31781 | − | 0.846905i | −0.322779 | − | 0.946474i | \(-0.604617\pi\) |
−0.995031 | + | 0.0995692i | \(0.968254\pi\) | |||||||
\(728\) | −1.99296 | − | 1.14840i | −0.0738638 | − | 0.0425625i | ||||
\(729\) | 0.142315 | − | 0.989821i | 0.00527092 | − | 0.0366601i | ||||
\(730\) | −1.10313 | + | 5.72358i | −0.0408287 | + | 0.211839i | ||||
\(731\) | 0.229141 | − | 0.0109153i | 0.00847508 | − | 0.000403718i | ||||
\(732\) | 1.76463 | + | 9.15576i | 0.0652225 | + | 0.338407i | ||||
\(733\) | −4.46952 | − | 18.4236i | −0.165085 | − | 0.680492i | −0.992845 | − | 0.119409i | \(-0.961900\pi\) |
0.827760 | − | 0.561083i | \(-0.189615\pi\) | |||||||
\(734\) | 12.9151 | − | 28.2800i | 0.476704 | − | 1.04384i | ||||
\(735\) | 12.5492 | + | 0.576633i | 0.462883 | + | 0.0212694i | ||||
\(736\) | 0.823077 | + | 4.72467i | 0.0303390 | + | 0.174154i | ||||
\(737\) | −8.39865 | − | 14.5469i | −0.309368 | − | 0.535842i | ||||
\(738\) | 1.81849 | − | 1.29494i | 0.0669396 | − | 0.0476675i | ||||
\(739\) | −30.4976 | + | 29.0794i | −1.12187 | + | 1.06970i | −0.124881 | + | 0.992172i | \(0.539855\pi\) |
−0.996990 | + | 0.0775302i | \(0.975297\pi\) | |||||||
\(740\) | −13.5117 | − | 4.67646i | −0.496701 | − | 0.171910i | ||||
\(741\) | 3.80797 | − | 2.44723i | 0.139889 | − | 0.0899013i | ||||
\(742\) | −3.38927 | + | 0.164308i | −0.124424 | + | 0.00603194i | ||||
\(743\) | 38.0384 | + | 5.46909i | 1.39549 | + | 0.200641i | 0.798688 | − | 0.601746i | \(-0.205528\pi\) |
0.596804 | + | 0.802387i | \(0.296437\pi\) | |||||||
\(744\) | −2.29830 | − | 2.19143i | −0.0842599 | − | 0.0803417i | ||||
\(745\) | −6.17838 | − | 11.9844i | −0.226358 | − | 0.439074i | ||||
\(746\) | 7.96648 | − | 19.8993i | 0.291674 | − | 0.728566i | ||||
\(747\) | 5.87743 | − | 8.25369i | 0.215044 | − | 0.301987i | ||||
\(748\) | 0.109546 | − | 0.0500278i | 0.00400538 | − | 0.00182920i | ||||
\(749\) | −0.916064 | − | 0.130924i | −0.0334722 | − | 0.00478385i | ||||
\(750\) | −6.57762 | + | 10.2350i | −0.240181 | + | 0.373729i | ||||
\(751\) | −20.4347 | + | 21.4313i | −0.745671 | + | 0.782038i | −0.981847 | − | 0.189673i | \(-0.939257\pi\) |
0.236176 | + | 0.971710i | \(0.424106\pi\) | |||||||
\(752\) | −2.19741 | + | 2.79423i | −0.0801313 | + | 0.101895i | ||||
\(753\) | −1.52769 | + | 0.528739i | −0.0556721 | + | 0.0192683i | ||||
\(754\) | 1.96449 | − | 3.81058i | 0.0715424 | − | 0.138773i | ||||
\(755\) | −16.8120 | − | 19.4021i | −0.611852 | − | 0.706115i | ||||
\(756\) | 2.64286 | + | 0.123667i | 0.0961199 | + | 0.00449773i | ||||
\(757\) | −34.6520 | − | 15.8251i | −1.25945 | − | 0.575172i | −0.329952 | − | 0.943998i | \(-0.607032\pi\) |
−0.929498 | + | 0.368826i | \(0.879760\pi\) | |||||||
\(758\) | 21.7661 | − | 12.5666i | 0.790579 | − | 0.456441i | ||||
\(759\) | 8.14986 | + | 21.4645i | 0.295821 | + | 0.779110i | ||||
\(760\) | −4.67201 | + | 8.09216i | −0.169472 | + | 0.293533i | ||||
\(761\) | 4.30246 | + | 45.0574i | 0.155964 | + | 1.63333i | 0.647213 | + | 0.762309i | \(0.275934\pi\) |
−0.491249 | + | 0.871019i | \(0.663459\pi\) | |||||||
\(762\) | 1.76162 | − | 5.99953i | 0.0638168 | − | 0.217340i | ||||
\(763\) | −15.2200 | − | 10.8188i | −0.551000 | − | 0.391667i | ||||
\(764\) | −11.2750 | − | 17.5443i | −0.407915 | − | 0.634729i | ||||
\(765\) | 0.0443285 | + | 0.00854362i | 0.00160270 | + | 0.000308895i | ||||
\(766\) | −11.7767 | − | 9.26127i | −0.425508 | − | 0.334623i | ||||
\(767\) | −2.08828 | + | 8.60802i | −0.0754036 | + | 0.310818i | ||||
\(768\) | 0.998867 | + | 0.0475819i | 0.0360435 | + | 0.00171696i | ||||
\(769\) | −6.62458 | − | 46.0750i | −0.238888 | − | 1.66151i | −0.657586 | − | 0.753380i | \(-0.728422\pi\) |
0.418697 | − | 0.908126i | \(-0.362487\pi\) | |||||||
\(770\) | 22.4972 | − | 3.25392i | 0.810743 | − | 0.117263i | ||||
\(771\) | 6.87207 | + | 15.0477i | 0.247491 | + | 0.541931i | ||||
\(772\) | 12.7917 | − | 10.0595i | 0.460385 | − | 0.362051i | ||||
\(773\) | −28.2053 | + | 14.5408i | −1.01447 | + | 0.522998i | −0.883522 | − | 0.468391i | \(-0.844834\pi\) |
−0.130953 | + | 0.991389i | \(0.541804\pi\) | |||||||
\(774\) | 8.86233 | + | 2.14998i | 0.318550 | + | 0.0772794i | ||||
\(775\) | 2.10004 | + | 5.24565i | 0.0754357 | + | 0.188429i | ||||
\(776\) | −5.19792 | + | 5.99872i | −0.186595 | + | 0.215342i | ||||
\(777\) | 4.95237 | − | 20.4891i | 0.177665 | − | 0.735044i | ||||
\(778\) | −22.9823 | + | 19.9143i | −0.823956 | + | 0.713962i | ||||
\(779\) | −11.2959 | + | 2.74036i | −0.404718 | + | 0.0981835i | ||||
\(780\) | −0.905008 | − | 1.27091i | −0.0324045 | − | 0.0455057i | ||||
\(781\) | −1.34444 | − | 0.776211i | −0.0481078 | − | 0.0277750i | ||||
\(782\) | −0.119701 | + | 0.0150261i | −0.00428049 | + | 0.000537333i | ||||
\(783\) | 4.93131i | 0.176230i | ||||||||
\(784\) | 0.344835 | + | 6.99150i | 0.0123155 | + | 0.249696i | ||||
\(785\) | 5.31049 | + | 1.55930i | 0.189540 | + | 0.0556539i | ||||
\(786\) | −1.53865 | + | 4.44564i | −0.0548818 | + | 0.158571i | ||||
\(787\) | −0.597602 | − | 12.5452i | −0.0213022 | − | 0.447189i | −0.984171 | − | 0.177220i | \(-0.943290\pi\) |
0.962869 | − | 0.269969i | \(-0.0870134\pi\) | |||||||
\(788\) | 4.67155 | + | 13.4975i | 0.166417 | + | 0.480830i | ||||
\(789\) | −18.0777 | + | 7.23722i | −0.643584 | + | 0.257652i | ||||
\(790\) | −7.56457 | − | 25.7626i | −0.269135 | − | 0.916591i | ||||
\(791\) | 2.72451 | + | 14.0724i | 0.0968724 | + | 0.500356i | ||||
\(792\) | 4.73868 | − | 0.681319i | 0.168382 | − | 0.0242096i | ||||
\(793\) | 6.60318 | + | 4.70211i | 0.234486 | + | 0.166977i | ||||
\(794\) | −3.35650 | + | 35.1509i | −0.119118 | + | 1.24746i | ||||
\(795\) | −2.13679 | − | 0.855440i | −0.0757840 | − | 0.0303393i | ||||
\(796\) | 0.954208 | − | 20.0313i | 0.0338210 | − | 0.709990i | ||||
\(797\) | 6.39070 | − | 1.87648i | 0.226370 | − | 0.0664683i | −0.166580 | − | 0.986028i | \(-0.553273\pi\) |
0.392951 | + | 0.919560i | \(0.371454\pi\) | |||||||
\(798\) | −12.5355 | − | 5.71202i | −0.443751 | − | 0.202203i | ||||
\(799\) | −0.0675799 | − | 0.0585583i | −0.00239080 | − | 0.00207164i | ||||
\(800\) | −1.58151 | − | 0.815325i | −0.0559148 | − | 0.0288261i | ||||
\(801\) | −15.4135 | + | 2.97071i | −0.544610 | + | 0.104965i | ||||
\(802\) | 12.1344 | + | 12.7262i | 0.428482 | + | 0.449379i | ||||
\(803\) | −15.4790 | + | 1.47806i | −0.546242 | + | 0.0521597i | ||||
\(804\) | 3.50864 | 0.123740 | ||||||||
\(805\) | −22.4809 | − | 3.62520i | −0.792347 | − | 0.127772i | ||||
\(806\) | −2.76081 | −0.0972452 | ||||||||
\(807\) | −18.6585 | + | 1.78167i | −0.656809 | + | 0.0627176i | ||||
\(808\) | 3.29918 | + | 3.46008i | 0.116065 | + | 0.121725i | ||||
\(809\) | 29.6103 | − | 5.70692i | 1.04104 | − | 0.200645i | 0.360049 | − | 0.932933i | \(-0.382760\pi\) |
0.680995 | + | 0.732288i | \(0.261548\pi\) | |||||||
\(810\) | 1.59513 | + | 0.822347i | 0.0560472 | + | 0.0288943i | ||||
\(811\) | −16.5634 | − | 14.3522i | −0.581618 | − | 0.503975i | 0.313629 | − | 0.949546i | \(-0.398455\pi\) |
−0.895247 | + | 0.445571i | \(0.853001\pi\) | |||||||
\(812\) | −12.9869 | + | 1.25112i | −0.455750 | + | 0.0439057i | ||||
\(813\) | 12.5764 | − | 3.69275i | 0.441072 | − | 0.129510i | ||||
\(814\) | 1.81487 | − | 38.0989i | 0.0636113 | − | 1.33537i | ||||
\(815\) | −20.0223 | − | 8.01573i | −0.701351 | − | 0.280779i | ||||
\(816\) | −0.00239116 | + | 0.0250413i | −8.37073e−5 | + | 0.000876622i | ||||
\(817\) | −38.6773 | − | 27.5420i | −1.35315 | − | 0.963573i | ||||
\(818\) | 15.2811 | − | 2.19710i | 0.534293 | − | 0.0768197i | ||||
\(819\) | 1.73707 | − | 1.50774i | 0.0606981 | − | 0.0526847i | ||||
\(820\) | 1.12873 | + | 3.84412i | 0.0394171 | + | 0.134242i | ||||
\(821\) | −21.0405 | + | 8.42333i | −0.734317 | + | 0.293976i | −0.708520 | − | 0.705691i | \(-0.750637\pi\) |
−0.0257975 | + | 0.999667i | \(0.508213\pi\) | |||||||
\(822\) | −6.53370 | − | 18.8779i | −0.227889 | − | 0.658442i | ||||
\(823\) | 0.607849 | + | 12.7603i | 0.0211883 | + | 0.444797i | 0.984388 | + | 0.176011i | \(0.0563194\pi\) |
−0.963200 | + | 0.268786i | \(0.913378\pi\) | |||||||
\(824\) | 1.78524 | − | 5.15810i | 0.0621916 | − | 0.179691i | ||||
\(825\) | −8.17321 | − | 2.39987i | −0.284555 | − | 0.0835528i | ||||
\(826\) | 25.4665 | − | 8.83802i | 0.886092 | − | 0.307514i | ||||
\(827\) | − | 16.1650i | − | 0.562113i | −0.959691 | − | 0.281057i | \(-0.909315\pi\) | ||
0.959691 | − | 0.281057i | \(-0.0906849\pi\) | |||||||
\(828\) | −4.73402 | − | 0.767481i | −0.164519 | − | 0.0266718i | ||||
\(829\) | −17.3154 | − | 9.99704i | −0.601388 | − | 0.347211i | 0.168199 | − | 0.985753i | \(-0.446205\pi\) |
−0.769587 | + | 0.638541i | \(0.779538\pi\) | |||||||
\(830\) | 10.5478 | + | 14.8123i | 0.366120 | + | 0.514143i | ||||
\(831\) | −0.769679 | + | 0.186722i | −0.0266999 | + | 0.00647732i | ||||
\(832\) | 0.657030 | − | 0.569320i | 0.0227784 | − | 0.0197376i | ||||
\(833\) | −0.176086 | 0.000296219i | −0.00610103 | 1.02634e-5i | ||||||
\(834\) | 1.18578 | − | 1.36846i | 0.0410601 | − | 0.0473858i | ||||
\(835\) | 3.72222 | + | 9.29766i | 0.128813 | + | 0.321759i | ||||
\(836\) | −24.2237 | − | 5.87662i | −0.837796 | − | 0.203247i | ||||
\(837\) | 2.82260 | − | 1.45515i | 0.0975635 | − | 0.0502975i | ||||
\(838\) | 5.17304 | − | 4.06812i | 0.178700 | − | 0.140531i | ||||
\(839\) | −0.214048 | − | 0.468701i | −0.00738977 | − | 0.0161813i | 0.905901 | − | 0.423489i | \(-0.139195\pi\) |
−0.913291 | + | 0.407308i | \(0.866468\pi\) | |||||||
\(840\) | −1.76100 | + | 4.40951i | −0.0607602 | + | 0.152142i | ||||
\(841\) | 0.666350 | + | 4.63456i | 0.0229776 | + | 0.159813i | ||||
\(842\) | −29.3761 | − | 1.39935i | −1.01237 | − | 0.0482249i | ||||
\(843\) | −0.460538 | + | 1.89836i | −0.0158618 | + | 0.0653831i | ||||
\(844\) | 2.12145 | + | 1.66833i | 0.0730233 | + | 0.0574262i | ||||
\(845\) | 21.5767 | + | 4.15856i | 0.742260 | + | 0.143059i | ||||
\(846\) | −1.92185 | − | 2.99046i | −0.0660746 | − | 0.102814i | ||||
\(847\) | 13.1244 | + | 28.6746i | 0.450960 | + | 0.985271i | ||||
\(848\) | 0.361329 | − | 1.23058i | 0.0124081 | − | 0.0422581i | ||||
\(849\) | −2.95403 | − | 30.9360i | −0.101382 | − | 1.06172i | ||||
\(850\) | 0.0223794 | − | 0.0387623i | 0.000767608 | − | 0.00132954i | ||||
\(851\) | −13.1421 | + | 35.8780i | −0.450505 | + | 1.22988i | ||||
\(852\) | 0.280828 | − | 0.162136i | 0.00962100 | − | 0.00555469i | ||||
\(853\) | 22.8530 | + | 10.4366i | 0.782472 | + | 0.357343i | 0.766264 | − | 0.642526i | \(-0.222113\pi\) |
0.0162079 | + | 0.999869i | \(0.494841\pi\) | |||||||
\(854\) | 1.15310 | − | 24.6427i | 0.0394584 | − | 0.843256i | ||||
\(855\) | −6.11903 | − | 7.06174i | −0.209266 | − | 0.241506i | ||||
\(856\) | 0.160268 | − | 0.310877i | 0.00547786 | − | 0.0106256i | ||||
\(857\) | 1.33877 | − | 0.463354i | 0.0457316 | − | 0.0158279i | −0.304106 | − | 0.952638i | \(-0.598358\pi\) |
0.349838 | + | 0.936810i | \(0.386237\pi\) | |||||||
\(858\) | 2.57281 | − | 3.27159i | 0.0878343 | − | 0.111690i | ||||
\(859\) | 0.785811 | − | 0.824135i | 0.0268115 | − | 0.0281191i | −0.710192 | − | 0.704008i | \(-0.751392\pi\) |
0.737003 | + | 0.675889i | \(0.236240\pi\) | |||||||
\(860\) | −8.84809 | + | 13.7679i | −0.301717 | + | 0.469481i | ||||
\(861\) | −5.48154 | + | 2.19983i | −0.186810 | + | 0.0749700i | ||||
\(862\) | 11.2157 | − | 5.12202i | 0.382007 | − | 0.174457i | ||||
\(863\) | −25.6284 | + | 35.9901i | −0.872402 | + | 1.22512i | 0.100741 | + | 0.994913i | \(0.467879\pi\) |
−0.973142 | + | 0.230204i | \(0.926061\pi\) | |||||||
\(864\) | −0.371662 | + | 0.928368i | −0.0126442 | + | 0.0315837i | ||||
\(865\) | −3.48428 | − | 6.75856i | −0.118469 | − | 0.229798i | ||||
\(866\) | 22.0822 | + | 21.0553i | 0.750382 | + | 0.715488i | ||||
\(867\) | 16.8263 | + | 2.41926i | 0.571452 | + | 0.0821625i | ||||
\(868\) | 4.54835 | + | 7.06431i | 0.154381 | + | 0.239778i | ||||
\(869\) | 60.2559 | − | 38.7241i | 2.04404 | − | 1.31363i | ||||
\(870\) | −8.36313 | − | 2.89451i | −0.283537 | − | 0.0981330i | ||||
\(871\) | 2.20763 | − | 2.10497i | 0.0748025 | − | 0.0713241i | ||||
\(872\) | 5.74917 | − | 4.09396i | 0.194691 | − | 0.138639i | ||||
\(873\) | −3.96872 | − | 6.87403i | −0.134321 | − | 0.232651i | ||||
\(874\) | 21.3976 | + | 12.8707i | 0.723786 | + | 0.435357i | ||||
\(875\) | 23.2777 | − | 22.2326i | 0.786929 | − | 0.751600i | ||||
\(876\) | 1.34926 | − | 2.95446i | 0.0455872 | − | 0.0998221i | ||||
\(877\) | 11.8138 | + | 48.6972i | 0.398924 | + | 1.64439i | 0.717549 | + | 0.696508i | \(0.245264\pi\) |
−0.318625 | + | 0.947881i | \(0.603221\pi\) | |||||||
\(878\) | −0.370590 | − | 1.92280i | −0.0125068 | − | 0.0648914i | ||||
\(879\) | 10.8847 | − | 0.518504i | 0.367133 | − | 0.0174887i | ||||
\(880\) | −1.62597 | + | 8.43636i | −0.0548116 | + | 0.284390i | ||||
\(881\) | −4.46358 | + | 31.0449i | −0.150382 | + | 1.04593i | 0.765199 | + | 0.643794i | \(0.222641\pi\) |
−0.915580 | + | 0.402135i | \(0.868268\pi\) | |||||||
\(882\) | −6.71976 | − | 1.96083i | −0.226266 | − | 0.0660245i | ||||
\(883\) | 33.8858 | + | 21.7771i | 1.14035 | + | 0.732858i | 0.967695 | − | 0.252124i | \(-0.0811292\pi\) |
0.172654 | + | 0.984982i | \(0.444766\pi\) | |||||||
\(884\) | 0.0135187 | + | 0.0171905i | 0.000454684 | + | 0.000578178i | ||||
\(885\) | 18.2020 | + | 1.73808i | 0.611852 | + | 0.0584248i | ||||
\(886\) | −19.0097 | − | 1.81520i | −0.638642 | − | 0.0609830i | ||||
\(887\) | −21.8295 | − | 27.7584i | −0.732962 | − | 0.932037i | 0.266533 | − | 0.963826i | \(-0.414122\pi\) |
−0.999495 | + | 0.0317891i | \(0.989880\pi\) | |||||||
\(888\) | 6.70241 | + | 4.30738i | 0.224918 | + | 0.144546i | ||||
\(889\) | −8.25964 | + | 14.3340i | −0.277020 | + | 0.480745i | ||||
\(890\) | 4.00910 | − | 27.8839i | 0.134385 | − | 0.934670i | ||||
\(891\) | −0.906023 | + | 4.70089i | −0.0303529 | + | 0.157486i | ||||
\(892\) | 21.9163 | − | 1.04400i | 0.733811 | − | 0.0349557i | ||||
\(893\) | 3.50275 | + | 18.1740i | 0.117215 | + | 0.608169i | ||||
\(894\) | 1.77128 | + | 7.30132i | 0.0592405 | + | 0.244193i | ||||
\(895\) | −0.611795 | + | 1.33964i | −0.0204500 | + | 0.0447794i | ||||
\(896\) | −2.53921 | − | 0.743259i | −0.0848289 | − | 0.0248305i | ||||
\(897\) | −3.43907 | + | 2.35722i | −0.114827 | + | 0.0787053i | ||||
\(898\) | −12.9258 | − | 22.3881i | −0.431339 | − | 0.747101i | ||||
\(899\) | −12.7562 | + | 9.08366i | −0.425444 | + | 0.302957i | ||||
\(900\) | 1.28774 | − | 1.22786i | 0.0429248 | − | 0.0409287i | ||||
\(901\) | 0.0304879 | + | 0.0105520i | 0.00101570 | + | 0.000351536i | ||||
\(902\) | −8.99099 | + | 5.77816i | −0.299367 | + | 0.192392i | ||||
\(903\) | −21.4548 | − | 11.0379i | −0.713971 | − | 0.367318i | ||||
\(904\) | −5.36249 | − | 0.771009i | −0.178354 | − | 0.0256434i | ||||
\(905\) | 16.4847 | + | 15.7182i | 0.547972 | + | 0.522490i | ||||
\(906\) | 6.55506 | + | 12.7150i | 0.217777 | + | 0.422429i | ||||
\(907\) | −4.53077 | + | 11.3173i | −0.150442 | + | 0.375786i | −0.984376 | − | 0.176078i | \(-0.943659\pi\) |
0.833934 | + | 0.551864i | \(0.186083\pi\) | |||||||
\(908\) | −1.66367 | + | 2.33629i | −0.0552107 | + | 0.0775326i | ||||
\(909\) | −4.34884 | + | 1.98605i | −0.144242 | + | 0.0658731i | ||||
\(910\) | 1.53741 | + | 3.83093i | 0.0509648 | + | 0.126994i | ||||
\(911\) | −19.7511 | + | 30.7333i | −0.654383 | + | 1.01824i | 0.342514 | + | 0.939513i | \(0.388722\pi\) |
−0.996896 | + | 0.0787265i | \(0.974915\pi\) | |||||||
\(912\) | 3.59300 | − | 3.76823i | 0.118976 | − | 0.124779i | ||||
\(913\) | −29.9859 | + | 38.1302i | −0.992389 | + | 1.26193i | ||||
\(914\) | −33.6420 | + | 11.6436i | −1.11278 | + | 0.385137i | ||||
\(915\) | 7.66778 | − | 14.8734i | 0.253489 | − | 0.491700i | ||||
\(916\) | 14.4396 | + | 16.6642i | 0.477097 | + | 0.550600i | ||||
\(917\) | 6.72033 | − | 10.4764i | 0.221925 | − | 0.345961i | ||||
\(918\) | −0.0228820 | − | 0.0104499i | −0.000755219 | − | 0.000344897i | ||||
\(919\) | −18.7422 | + | 10.8208i | −0.618247 | + | 0.356945i | −0.776186 | − | 0.630504i | \(-0.782848\pi\) |
0.157939 | + | 0.987449i | \(0.449515\pi\) | |||||||
\(920\) | 4.08030 | − | 7.57807i | 0.134524 | − | 0.249842i | ||||
\(921\) | −9.19540 | + | 15.9269i | −0.302999 | + | 0.524809i | ||||
\(922\) | −3.11372 | − | 32.6084i | −0.102545 | − | 1.07390i | ||||
\(923\) | 0.0794244 | − | 0.270495i | 0.00261429 | − | 0.00890344i | ||||
\(924\) | −12.6099 | − | 1.19340i | −0.414837 | − | 0.0392600i | ||||
\(925\) | −7.66415 | − | 11.9256i | −0.251996 | − | 0.392113i | ||||
\(926\) | −2.39153 | − | 0.460930i | −0.0785907 | − | 0.0151471i | ||||
\(927\) | 4.29051 | + | 3.37410i | 0.140919 | + | 0.110820i | ||||
\(928\) | 1.16260 | − | 4.79230i | 0.0381642 | − | 0.157315i | ||||
\(929\) | 5.22709 | + | 0.248997i | 0.171495 | + | 0.00816933i | 0.133154 | − | 0.991095i | \(-0.457490\pi\) |
0.0383414 | + | 0.999265i | \(0.487793\pi\) | |||||||
\(930\) | 0.811061 | + | 5.64105i | 0.0265957 | + | 0.184977i | ||||
\(931\) | 28.6868 | + | 22.4816i | 0.940173 | + | 0.736804i | ||||
\(932\) | −1.46207 | − | 3.20148i | −0.0478915 | − | 0.104868i | ||||
\(933\) | −5.70840 | + | 4.48914i | −0.186885 | + | 0.146968i | ||||
\(934\) | −19.3430 | + | 9.97203i | −0.632923 | + | 0.326295i | ||||
\(935\) | −0.210032 | − | 0.0509532i | −0.00686878 | − | 0.00166635i | ||||
\(936\) | 0.323114 | + | 0.807100i | 0.0105613 | + | 0.0263809i | ||||
\(937\) | −36.4082 | + | 42.0173i | −1.18940 | + | 1.37264i | −0.278286 | + | 0.960498i | \(0.589766\pi\) |
−0.911118 | + | 0.412146i | \(0.864779\pi\) | |||||||
\(938\) | −9.02316 | − | 2.18096i | −0.294617 | − | 0.0712109i | ||||
\(939\) | −15.9218 | + | 13.7963i | −0.519589 | + | 0.450227i | ||||
\(940\) | 6.19966 | − | 1.50402i | 0.202211 | − | 0.0490557i | ||||
\(941\) | 4.45872 | + | 6.26140i | 0.145350 | + | 0.204116i | 0.880832 | − | 0.473428i | \(-0.156984\pi\) |
−0.735482 | + | 0.677544i | \(0.763044\pi\) | |||||||
\(942\) | −2.67085 | − | 1.54201i | −0.0870209 | − | 0.0502415i | ||||
\(943\) | 10.3251 | − | 2.83176i | 0.336233 | − | 0.0922148i | ||||
\(944\) | 10.1886i | 0.331610i | ||||||||
\(945\) | −3.59102 | − | 3.10635i | −0.116816 | − | 0.101050i | ||||
\(946\) | −41.8898 | − | 12.3000i | −1.36195 | − | 0.399906i | ||||
\(947\) | 1.07627 | − | 3.10967i | 0.0349740 | − | 0.101051i | −0.926162 | − | 0.377126i | \(-0.876913\pi\) |
0.961136 | + | 0.276075i | \(0.0890337\pi\) | |||||||
\(948\) | 0.711892 | + | 14.9445i | 0.0231212 | + | 0.485373i | ||||
\(949\) | −0.923545 | − | 2.66841i | −0.0299796 | − | 0.0866202i | ||||
\(950\) | −8.60062 | + | 3.44317i | −0.279041 | + | 0.111711i | ||||
\(951\) | 9.25597 | + | 31.5229i | 0.300145 | + | 1.02220i | ||||
\(952\) | 0.0217149 | − | 0.0629124i | 0.000703785 | − | 0.00203900i | ||||
\(953\) | 5.48394 | − | 0.788472i | 0.177642 | − | 0.0255411i | −0.0529195 | − | 0.998599i | \(-0.516853\pi\) |
0.230562 | + | 0.973058i | \(0.425944\pi\) | |||||||
\(954\) | 1.04472 | + | 0.743938i | 0.0338239 | + | 0.0240859i | ||||
\(955\) | −3.55764 | + | 37.2573i | −0.115123 | + | 1.20562i | ||||
\(956\) | 23.8492 | + | 9.54779i | 0.771339 | + | 0.308797i | ||||
\(957\) | 1.12332 | − | 23.5814i | 0.0363118 | − | 0.762279i | ||||
\(958\) | 32.4375 | − | 9.52450i | 1.04801 | − | 0.307723i | ||||
\(959\) | 5.06826 | + | 52.6095i | 0.163663 | + | 1.69885i | ||||
\(960\) | −1.35629 | − | 1.17523i | −0.0437741 | − | 0.0379305i | ||||
\(961\) | −18.5904 | − | 9.58401i | −0.599690 | − | 0.309162i | ||||
\(962\) | 6.80129 | − | 1.31084i | 0.219282 | − | 0.0422632i | ||||
\(963\) | 0.241361 | + | 0.253132i | 0.00777774 | + | 0.00815705i | ||||
\(964\) | 12.8138 | − | 1.22357i | 0.412704 | − | 0.0394085i | ||||
\(965\) | −29.2047 | −0.940133 | ||||||||
\(966\) | 11.6974 | + | 4.91638i | 0.376358 | + | 0.158182i | ||||
\(967\) | −15.4124 | −0.495629 | −0.247815 | − | 0.968807i | \(-0.579712\pi\) | ||||
−0.247815 | + | 0.968807i | \(0.579712\pi\) | |||||||
\(968\) | −11.8653 | + | 1.13300i | −0.381365 | + | 0.0364160i | ||||
\(969\) | 0.0903829 | + | 0.0947908i | 0.00290352 | + | 0.00304512i | ||||
\(970\) | 13.9874 | − | 2.69584i | 0.449107 | − | 0.0865582i | ||||
\(971\) | 40.3717 | + | 20.8130i | 1.29559 | + | 0.667922i | 0.961548 | − | 0.274636i | \(-0.0885574\pi\) |
0.334041 | + | 0.942559i | \(0.391588\pi\) | |||||||
\(972\) | −0.755750 | − | 0.654861i | −0.0242407 | − | 0.0210047i | ||||
\(973\) | −3.90008 | + | 2.78218i | −0.125031 | + | 0.0891927i | ||||
\(974\) | −4.08571 | + | 1.19967i | −0.130915 | + | 0.0384400i | ||||
\(975\) | 0.0736037 | − | 1.54513i | 0.00235721 | − | 0.0494838i | ||||
\(976\) | 8.65635 | + | 3.46548i | 0.277083 | + | 0.110927i | ||||
\(977\) | −2.98878 | + | 31.3000i | −0.0956197 | + | 1.00137i | 0.812583 | + | 0.582845i | \(0.198061\pi\) |
−0.908203 | + | 0.418530i | \(0.862546\pi\) | |||||||
\(978\) | 9.78929 | + | 6.97092i | 0.313027 | + | 0.222906i | ||||
\(979\) | 74.3839 | − | 10.6948i | 2.37732 | − | 0.341807i | ||||
\(980\) | 7.26968 | − | 10.2453i | 0.232222 | − | 0.327273i | ||||
\(981\) | 1.98843 | + | 6.77197i | 0.0634857 | + | 0.216212i | ||||
\(982\) | 6.69431 | − | 2.68000i | 0.213624 | − | 0.0855222i | ||||
\(983\) | 8.32332 | + | 24.0487i | 0.265473 | + | 0.767033i | 0.996415 | + | 0.0845942i | \(0.0269594\pi\) |
−0.730943 | + | 0.682439i | \(0.760919\pi\) | |||||||
\(984\) | −0.106224 | − | 2.22991i | −0.00338629 | − | 0.0710870i | ||||
\(985\) | 8.38370 | − | 24.2231i | 0.267127 | − | 0.771812i | ||||
\(986\) | 0.119023 | + | 0.0349484i | 0.00379048 | + | 0.00111298i | ||||
\(987\) | 3.08356 | + | 8.88516i | 0.0981507 | + | 0.282818i | ||||
\(988\) | − | 4.52654i | − | 0.144008i | ||||||
\(989\) | 36.3626 | + | 24.3005i | 1.15626 | + | 0.772712i | ||||
\(990\) | −7.44056 | − | 4.29581i | −0.236477 | − | 0.136530i | ||||
\(991\) | 26.4517 | + | 37.1463i | 0.840267 | + | 1.17999i | 0.981774 | + | 0.190053i | \(0.0608659\pi\) |
−0.141507 | + | 0.989937i | \(0.545195\pi\) | |||||||
\(992\) | −3.08610 | + | 0.748681i | −0.0979839 | + | 0.0237706i | ||||
\(993\) | 10.5548 | − | 9.14580i | 0.334947 | − | 0.290233i | ||||
\(994\) | −0.822987 | + | 0.242403i | −0.0261036 | + | 0.00768855i | ||||
\(995\) | −23.5681 | + | 27.1991i | −0.747159 | + | 0.862268i | ||||
\(996\) | −3.76587 | − | 9.40669i | −0.119326 | − | 0.298062i | ||||
\(997\) | −30.4256 | − | 7.38117i | −0.963588 | − | 0.233764i | −0.277048 | − | 0.960856i | \(-0.589356\pi\) |
−0.686540 | + | 0.727092i | \(0.740871\pi\) | |||||||
\(998\) | 2.92047 | − | 1.50561i | 0.0924459 | − | 0.0476592i | ||||
\(999\) | −6.26262 | + | 4.92498i | −0.198141 | + | 0.155819i |
(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 | 966.2.be.a.661.11 | yes | 320 | |
7.5 | odd | 6 | inner | 966.2.be.a.523.11 | yes | 320 | |
23.19 | odd | 22 | inner | 966.2.be.a.157.11 | yes | 320 | |
161.19 | even | 66 | inner | 966.2.be.a.19.11 | ✓ | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.be.a.19.11 | ✓ | 320 | 161.19 | even | 66 | inner | |
966.2.be.a.157.11 | yes | 320 | 23.19 | odd | 22 | inner | |
966.2.be.a.523.11 | yes | 320 | 7.5 | odd | 6 | inner | |
966.2.be.a.661.11 | yes | 320 | 1.1 | even | 1 | trivial |