Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(103,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bj (of order \(6\), degree \(2\), 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: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 103.31 | ||
Character | \(\chi\) | \(=\) | 252.103 |
Dual form | 252.2.bj.b.115.32 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.937998 | − | 1.05838i | 0.663265 | − | 0.748385i | ||||
\(3\) | −1.65520 | − | 0.510207i | −0.955630 | − | 0.294568i | ||||
\(4\) | −0.240318 | − | 1.98551i | −0.120159 | − | 0.992755i | ||||
\(5\) | −3.41753 | + | 1.97311i | −1.52837 | + | 0.882403i | −0.528936 | + | 0.848662i | \(0.677409\pi\) |
−0.999431 | + | 0.0337413i | \(0.989258\pi\) | |||||||
\(6\) | −2.09257 | + | 1.27325i | −0.854287 | + | 0.519802i | ||||
\(7\) | −0.174185 | + | 2.64001i | −0.0658356 | + | 0.997830i | ||||
\(8\) | −2.32683 | − | 1.60806i | −0.822660 | − | 0.568534i | ||||
\(9\) | 2.47938 | + | 1.68899i | 0.826459 | + | 0.562997i | ||||
\(10\) | −1.11734 | + | 5.46781i | −0.353335 | + | 1.72907i | ||||
\(11\) | −4.23698 | − | 2.44622i | −1.27750 | − | 0.737563i | −0.301109 | − | 0.953590i | \(-0.597357\pi\) |
−0.976388 | + | 0.216026i | \(0.930690\pi\) | |||||||
\(12\) | −0.615246 | + | 3.40903i | −0.177606 | + | 0.984102i | ||||
\(13\) | −1.13829 | − | 0.657191i | −0.315704 | − | 0.182272i | 0.333772 | − | 0.942654i | \(-0.391678\pi\) |
−0.649476 | + | 0.760382i | \(0.725012\pi\) | |||||||
\(14\) | 2.63074 | + | 2.66068i | 0.703095 | + | 0.711096i | ||||
\(15\) | 6.66340 | − | 1.52225i | 1.72048 | − | 0.393043i | ||||
\(16\) | −3.88449 | + | 0.954307i | −0.971124 | + | 0.238577i | ||||
\(17\) | 1.67931 | − | 0.969547i | 0.407291 | − | 0.235150i | −0.282334 | − | 0.959316i | \(-0.591109\pi\) |
0.689625 | + | 0.724166i | \(0.257775\pi\) | |||||||
\(18\) | 4.11324 | − | 1.03984i | 0.969499 | − | 0.245093i | ||||
\(19\) | −1.49477 | + | 2.58902i | −0.342924 | + | 0.593962i | −0.984974 | − | 0.172701i | \(-0.944751\pi\) |
0.642050 | + | 0.766662i | \(0.278084\pi\) | |||||||
\(20\) | 4.73893 | + | 6.31137i | 1.05966 | + | 1.41126i | ||||
\(21\) | 1.63526 | − | 4.28088i | 0.356844 | − | 0.934164i | ||||
\(22\) | −6.56330 | + | 2.18976i | −1.39930 | + | 0.466859i | ||||
\(23\) | −2.92226 | + | 1.68717i | −0.609333 | + | 0.351798i | −0.772704 | − | 0.634766i | \(-0.781096\pi\) |
0.163372 | + | 0.986565i | \(0.447763\pi\) | |||||||
\(24\) | 3.03093 | + | 3.84882i | 0.618686 | + | 0.785638i | ||||
\(25\) | 5.28635 | − | 9.15623i | 1.05727 | − | 1.83125i | ||||
\(26\) | −1.76327 | + | 0.588292i | −0.345805 | + | 0.115374i | ||||
\(27\) | −3.24213 | − | 4.06061i | −0.623949 | − | 0.781465i | ||||
\(28\) | 5.28363 | − | 0.288597i | 0.998512 | − | 0.0545397i | ||||
\(29\) | −1.32976 | − | 2.30322i | −0.246931 | − | 0.427697i | 0.715742 | − | 0.698365i | \(-0.246089\pi\) |
−0.962673 | + | 0.270668i | \(0.912755\pi\) | |||||||
\(30\) | 4.63914 | − | 8.48024i | 0.846988 | − | 1.54827i | ||||
\(31\) | −0.886605 | −0.159239 | −0.0796195 | − | 0.996825i | \(-0.525371\pi\) | ||||
−0.0796195 | + | 0.996825i | \(0.525371\pi\) | |||||||
\(32\) | −2.63363 | + | 5.00639i | −0.465565 | + | 0.885014i | ||||
\(33\) | 5.76497 | + | 6.21072i | 1.00355 | + | 1.08115i | ||||
\(34\) | 0.549040 | − | 2.68677i | 0.0941596 | − | 0.460777i | ||||
\(35\) | −4.61376 | − | 9.36601i | −0.779868 | − | 1.58314i | ||||
\(36\) | 2.75767 | − | 5.32872i | 0.459611 | − | 0.888120i | ||||
\(37\) | 0.237205 | − | 0.410852i | 0.0389963 | − | 0.0675436i | −0.845869 | − | 0.533391i | \(-0.820917\pi\) |
0.884865 | + | 0.465848i | \(0.154251\pi\) | |||||||
\(38\) | 1.33806 | + | 4.01053i | 0.217062 | + | 0.650593i | ||||
\(39\) | 1.54879 | + | 1.66854i | 0.248005 | + | 0.267181i | ||||
\(40\) | 11.1249 | + | 0.904485i | 1.75900 | + | 0.143012i | ||||
\(41\) | −8.79016 | − | 5.07500i | −1.37279 | − | 0.792582i | −0.381514 | − | 0.924363i | \(-0.624597\pi\) |
−0.991279 | + | 0.131781i | \(0.957930\pi\) | |||||||
\(42\) | −2.99690 | − | 5.74618i | −0.462432 | − | 0.886655i | ||||
\(43\) | 2.31047 | − | 1.33395i | 0.352344 | − | 0.203426i | −0.313373 | − | 0.949630i | \(-0.601459\pi\) |
0.665717 | + | 0.746204i | \(0.268126\pi\) | |||||||
\(44\) | −3.83877 | + | 9.00043i | −0.578717 | + | 1.35687i | ||||
\(45\) | −11.8059 | − | 0.880085i | −1.75992 | − | 0.131195i | ||||
\(46\) | −0.955417 | + | 4.67540i | −0.140869 | + | 0.689351i | ||||
\(47\) | −2.46166 | −0.359070 | −0.179535 | − | 0.983752i | \(-0.557459\pi\) | ||||
−0.179535 | + | 0.983752i | \(0.557459\pi\) | |||||||
\(48\) | 6.91651 | + | 0.402326i | 0.998312 | + | 0.0580708i | ||||
\(49\) | −6.93932 | − | 0.919699i | −0.991331 | − | 0.131386i | ||||
\(50\) | −4.73214 | − | 14.1835i | −0.669226 | − | 2.00585i | ||||
\(51\) | −3.27426 | + | 0.748002i | −0.458488 | + | 0.104741i | ||||
\(52\) | −1.03131 | + | 2.41802i | −0.143017 | + | 0.335318i | ||||
\(53\) | 6.34427 | + | 10.9886i | 0.871453 | + | 1.50940i | 0.860494 | + | 0.509460i | \(0.170155\pi\) |
0.0109585 | + | 0.999940i | \(0.496512\pi\) | |||||||
\(54\) | −7.33877 | − | 0.377454i | −0.998680 | − | 0.0513650i | ||||
\(55\) | 19.3067 | 2.60331 | ||||||||
\(56\) | 4.65059 | − | 5.86277i | 0.621461 | − | 0.783445i | ||||
\(57\) | 3.79508 | − | 3.52270i | 0.502671 | − | 0.466594i | ||||
\(58\) | −3.68499 | − | 0.753026i | −0.483863 | − | 0.0988772i | ||||
\(59\) | 6.99484 | 0.910650 | 0.455325 | − | 0.890325i | \(-0.349523\pi\) | ||||
0.455325 | + | 0.890325i | \(0.349523\pi\) | |||||||
\(60\) | −4.62377 | − | 12.8644i | −0.596927 | − | 1.66079i | ||||
\(61\) | 2.37140i | 0.303626i | 0.988409 | + | 0.151813i | \(0.0485112\pi\) | ||||
−0.988409 | + | 0.151813i | \(0.951489\pi\) | |||||||
\(62\) | −0.831634 | + | 0.938361i | −0.105618 | + | 0.119172i | ||||
\(63\) | −4.89082 | + | 6.25139i | −0.616186 | + | 0.787601i | ||||
\(64\) | 2.82830 | + | 7.48336i | 0.353538 | + | 0.935420i | ||||
\(65\) | 5.18685 | 0.643349 | ||||||||
\(66\) | 11.9808 | − | 0.275857i | 1.47474 | − | 0.0339556i | ||||
\(67\) | − | 1.39480i | − | 0.170402i | −0.996364 | − | 0.0852008i | \(-0.972847\pi\) | ||
0.996364 | − | 0.0852008i | \(-0.0271532\pi\) | |||||||
\(68\) | −2.32861 | − | 3.10128i | −0.282386 | − | 0.376085i | ||||
\(69\) | 5.69773 | − | 1.30164i | 0.685925 | − | 0.156699i | ||||
\(70\) | −14.2405 | − | 3.90221i | −1.70206 | − | 0.466403i | ||||
\(71\) | 2.15535i | 0.255793i | 0.991788 | + | 0.127896i | \(0.0408225\pi\) | ||||
−0.991788 | + | 0.127896i | \(0.959177\pi\) | |||||||
\(72\) | −3.05310 | − | 7.91698i | −0.359812 | − | 0.933025i | ||||
\(73\) | 3.96915 | − | 2.29159i | 0.464554 | − | 0.268210i | −0.249403 | − | 0.968400i | \(-0.580234\pi\) |
0.713957 | + | 0.700189i | \(0.246901\pi\) | |||||||
\(74\) | −0.212337 | − | 0.636430i | −0.0246837 | − | 0.0739835i | ||||
\(75\) | −13.4215 | + | 12.4583i | −1.54979 | + | 1.43856i | ||||
\(76\) | 5.49974 | + | 2.34569i | 0.630864 | + | 0.269070i | ||||
\(77\) | 7.19607 | − | 10.7596i | 0.820068 | − | 1.22617i | ||||
\(78\) | 3.21871 | − | 0.0741104i | 0.364447 | − | 0.00839135i | ||||
\(79\) | 10.0544i | 1.13121i | 0.824675 | + | 0.565607i | \(0.191358\pi\) | ||||
−0.824675 | + | 0.565607i | \(0.808642\pi\) | |||||||
\(80\) | 11.3924 | − | 10.9259i | 1.27371 | − | 1.22156i | ||||
\(81\) | 3.29463 | + | 8.37529i | 0.366070 | + | 0.930587i | ||||
\(82\) | −13.6164 | + | 4.54295i | −1.50368 | + | 0.501685i | ||||
\(83\) | −1.29635 | − | 2.24535i | −0.142293 | − | 0.246459i | 0.786067 | − | 0.618142i | \(-0.212114\pi\) |
−0.928360 | + | 0.371683i | \(0.878781\pi\) | |||||||
\(84\) | −8.89271 | − | 2.21806i | −0.970274 | − | 0.242010i | ||||
\(85\) | −3.82605 | + | 6.62692i | −0.414994 | + | 0.718790i | ||||
\(86\) | 0.755397 | − | 3.69659i | 0.0814566 | − | 0.398614i | ||||
\(87\) | 1.02591 | + | 4.49075i | 0.109989 | + | 0.481459i | ||||
\(88\) | 5.92508 | + | 12.5053i | 0.631615 | + | 1.33306i | ||||
\(89\) | −11.6706 | − | 6.73801i | −1.23708 | − | 0.714227i | −0.268582 | − | 0.963257i | \(-0.586555\pi\) |
−0.968496 | + | 0.249029i | \(0.919888\pi\) | |||||||
\(90\) | −12.0054 | + | 11.6696i | −1.26548 | + | 1.23008i | ||||
\(91\) | 1.93326 | − | 2.89062i | 0.202661 | − | 0.303019i | ||||
\(92\) | 4.05215 | + | 5.39671i | 0.422466 | + | 0.562646i | ||||
\(93\) | 1.46751 | + | 0.452352i | 0.152174 | + | 0.0469067i | ||||
\(94\) | −2.30903 | + | 2.60536i | −0.238158 | + | 0.268722i | ||||
\(95\) | − | 11.7974i | − | 1.21039i | ||||||
\(96\) | 6.91349 | − | 6.94289i | 0.705605 | − | 0.708605i | ||||
\(97\) | −1.88401 | + | 1.08773i | −0.191292 | + | 0.110442i | −0.592587 | − | 0.805506i | \(-0.701893\pi\) |
0.401295 | + | 0.915949i | \(0.368560\pi\) | |||||||
\(98\) | −7.48246 | + | 6.48173i | −0.755842 | + | 0.654754i | ||||
\(99\) | −6.37343 | − | 13.2213i | −0.640553 | − | 1.32879i | ||||
\(100\) | −19.4502 | − | 8.29569i | −1.94502 | − | 0.829569i | ||||
\(101\) | −0.618126 | − | 0.356875i | −0.0615058 | − | 0.0355104i | 0.468932 | − | 0.883234i | \(-0.344639\pi\) |
−0.530438 | + | 0.847724i | \(0.677972\pi\) | |||||||
\(102\) | −2.27958 | + | 4.16702i | −0.225712 | + | 0.412596i | ||||
\(103\) | 0.582342 | + | 1.00865i | 0.0573798 | + | 0.0993848i | 0.893288 | − | 0.449484i | \(-0.148392\pi\) |
−0.835909 | + | 0.548869i | \(0.815059\pi\) | |||||||
\(104\) | 1.59180 | + | 3.35961i | 0.156089 | + | 0.329436i | ||||
\(105\) | 2.85809 | + | 17.8566i | 0.278921 | + | 1.74263i | ||||
\(106\) | 17.5810 | + | 3.59267i | 1.70762 | + | 0.348951i | ||||
\(107\) | 10.5529 | + | 6.09270i | 1.02018 | + | 0.589004i | 0.914157 | − | 0.405360i | \(-0.132854\pi\) |
0.106027 | + | 0.994363i | \(0.466187\pi\) | |||||||
\(108\) | −7.28324 | + | 7.41312i | −0.700830 | + | 0.713328i | ||||
\(109\) | −4.74875 | − | 8.22508i | −0.454848 | − | 0.787820i | 0.543832 | − | 0.839194i | \(-0.316973\pi\) |
−0.998679 | + | 0.0513747i | \(0.983640\pi\) | |||||||
\(110\) | 18.1096 | − | 20.4337i | 1.72669 | − | 1.94828i | ||||
\(111\) | −0.602242 | + | 0.559018i | −0.0571622 | + | 0.0530596i | ||||
\(112\) | −1.84276 | − | 10.4213i | −0.174125 | − | 0.984724i | ||||
\(113\) | −6.24802 | + | 10.8219i | −0.587764 | + | 1.01804i | 0.406761 | + | 0.913535i | \(0.366658\pi\) |
−0.994525 | + | 0.104502i | \(0.966675\pi\) | |||||||
\(114\) | −0.168563 | − | 7.32091i | −0.0157874 | − | 0.685666i | ||||
\(115\) | 6.65794 | − | 11.5319i | 0.620856 | − | 1.07535i | ||||
\(116\) | −4.25350 | + | 3.19377i | −0.394927 | + | 0.296534i | ||||
\(117\) | −1.71226 | − | 3.55198i | −0.158298 | − | 0.328381i | ||||
\(118\) | 6.56115 | − | 7.40317i | 0.604003 | − | 0.681517i | ||||
\(119\) | 2.26711 | + | 4.60227i | 0.207825 | + | 0.421889i | ||||
\(120\) | −17.9525 | − | 7.17311i | −1.63883 | − | 0.654812i | ||||
\(121\) | 6.46799 | + | 11.2029i | 0.587999 | + | 1.01844i | ||||
\(122\) | 2.50983 | + | 2.22437i | 0.227229 | + | 0.201385i | ||||
\(123\) | 11.9602 | + | 12.8849i | 1.07841 | + | 1.16180i | ||||
\(124\) | 0.213067 | + | 1.76036i | 0.0191340 | + | 0.158085i | ||||
\(125\) | 21.9911i | 1.96695i | ||||||||
\(126\) | 2.02873 | + | 11.0401i | 0.180734 | + | 0.983532i | ||||
\(127\) | − | 6.01418i | − | 0.533672i | −0.963742 | − | 0.266836i | \(-0.914022\pi\) | ||
0.963742 | − | 0.266836i | \(-0.0859782\pi\) | |||||||
\(128\) | 10.5732 | + | 4.02598i | 0.934543 | + | 0.355850i | ||||
\(129\) | −4.50489 | + | 1.02914i | −0.396633 | + | 0.0906106i | ||||
\(130\) | 4.86525 | − | 5.48963i | 0.426711 | − | 0.481473i | ||||
\(131\) | −0.999291 | − | 1.73082i | −0.0873085 | − | 0.151223i | 0.819064 | − | 0.573702i | \(-0.194493\pi\) |
−0.906373 | + | 0.422479i | \(0.861160\pi\) | |||||||
\(132\) | 10.9460 | − | 12.9389i | 0.952729 | − | 1.12619i | ||||
\(133\) | −6.57467 | − | 4.39718i | −0.570097 | − | 0.381284i | ||||
\(134\) | −1.47622 | − | 1.30832i | −0.127526 | − | 0.113021i | ||||
\(135\) | 19.0921 | + | 7.48018i | 1.64319 | + | 0.643791i | ||||
\(136\) | −5.46655 | − | 0.444445i | −0.468753 | − | 0.0381109i | ||||
\(137\) | −5.03081 | + | 8.71362i | −0.429811 | + | 0.744455i | −0.996856 | − | 0.0792320i | \(-0.974753\pi\) |
0.567045 | + | 0.823687i | \(0.308087\pi\) | |||||||
\(138\) | 3.96683 | − | 7.25127i | 0.337679 | − | 0.617269i | ||||
\(139\) | −8.02010 | + | 13.8912i | −0.680256 | + | 1.17824i | 0.294647 | + | 0.955606i | \(0.404798\pi\) |
−0.974903 | + | 0.222631i | \(0.928535\pi\) | |||||||
\(140\) | −17.4875 | + | 11.4115i | −1.47797 | + | 0.964446i | ||||
\(141\) | 4.07454 | + | 1.25596i | 0.343138 | + | 0.105771i | ||||
\(142\) | 2.28117 | + | 2.02171i | 0.191431 | + | 0.169658i | ||||
\(143\) | 3.21527 | + | 5.56901i | 0.268874 | + | 0.465704i | ||||
\(144\) | −11.2429 | − | 4.19478i | −0.936912 | − | 0.349565i | ||||
\(145\) | 9.08903 | + | 5.24755i | 0.754803 | + | 0.435785i | ||||
\(146\) | 1.29769 | − | 6.35036i | 0.107398 | − | 0.525560i | ||||
\(147\) | 11.0167 | + | 5.06278i | 0.908644 | + | 0.417571i | ||||
\(148\) | −0.872754 | − | 0.372238i | −0.0717400 | − | 0.0305978i | ||||
\(149\) | −4.84527 | − | 8.39226i | −0.396940 | − | 0.687521i | 0.596406 | − | 0.802683i | \(-0.296595\pi\) |
−0.993347 | + | 0.115162i | \(0.963261\pi\) | |||||||
\(150\) | 0.596134 | + | 25.8909i | 0.0486741 | + | 2.11398i | ||||
\(151\) | −14.3307 | − | 8.27382i | −1.16621 | − | 0.673314i | −0.213428 | − | 0.976959i | \(-0.568463\pi\) |
−0.952785 | + | 0.303645i | \(0.901796\pi\) | |||||||
\(152\) | 7.64138 | − | 3.62054i | 0.619797 | − | 0.293664i | ||||
\(153\) | 5.80119 | + | 0.432456i | 0.468998 | + | 0.0349620i | ||||
\(154\) | −4.63777 | − | 17.7086i | −0.373723 | − | 1.42700i | ||||
\(155\) | 3.03000 | − | 1.74937i | 0.243375 | − | 0.140513i | ||||
\(156\) | 2.94071 | − | 3.47612i | 0.235445 | − | 0.278312i | ||||
\(157\) | − | 13.0987i | − | 1.04539i | −0.852519 | − | 0.522696i | \(-0.824926\pi\) | ||
0.852519 | − | 0.522696i | \(-0.175074\pi\) | |||||||
\(158\) | 10.6414 | + | 9.43106i | 0.846583 | + | 0.750295i | ||||
\(159\) | −4.89458 | − | 21.4252i | −0.388165 | − | 1.69913i | ||||
\(160\) | −0.877652 | − | 22.3060i | −0.0693845 | − | 1.76344i | ||||
\(161\) | −3.94512 | − | 8.00867i | −0.310919 | − | 0.631172i | ||||
\(162\) | 11.9546 | + | 4.36905i | 0.939238 | + | 0.343265i | ||||
\(163\) | −6.95666 | − | 4.01643i | −0.544888 | − | 0.314591i | 0.202170 | − | 0.979350i | \(-0.435201\pi\) |
−0.747057 | + | 0.664759i | \(0.768534\pi\) | |||||||
\(164\) | −7.96403 | + | 18.6726i | −0.621886 | + | 1.45808i | ||||
\(165\) | −31.9564 | − | 9.85040i | −2.48780 | − | 0.766853i | ||||
\(166\) | −3.59240 | − | 0.734105i | −0.278824 | − | 0.0569776i | ||||
\(167\) | 4.83680 | − | 8.37758i | 0.374283 | − | 0.648277i | −0.615937 | − | 0.787796i | \(-0.711222\pi\) |
0.990219 | + | 0.139519i | \(0.0445556\pi\) | |||||||
\(168\) | −10.6889 | + | 7.33129i | −0.824665 | + | 0.565621i | ||||
\(169\) | −5.63620 | − | 9.76219i | −0.433554 | − | 0.750937i | ||||
\(170\) | 3.42494 | + | 10.2654i | 0.262681 | + | 0.787323i | ||||
\(171\) | −8.07893 | + | 3.89450i | −0.617811 | + | 0.297820i | ||||
\(172\) | −3.20382 | − | 4.26689i | −0.244289 | − | 0.325348i | ||||
\(173\) | 16.3879i | 1.24595i | 0.782242 | + | 0.622974i | \(0.214076\pi\) | ||||
−0.782242 | + | 0.622974i | \(0.785924\pi\) | |||||||
\(174\) | 5.71520 | + | 3.12652i | 0.433268 | + | 0.237021i | ||||
\(175\) | 23.2517 | + | 15.5509i | 1.75767 | + | 1.17554i | ||||
\(176\) | 18.7930 | + | 5.45895i | 1.41657 | + | 0.411484i | ||||
\(177\) | −11.5779 | − | 3.56882i | −0.870245 | − | 0.268249i | ||||
\(178\) | −18.0783 | + | 6.03161i | −1.35503 | + | 0.452088i | ||||
\(179\) | −16.0572 | + | 9.27065i | −1.20017 | + | 0.692921i | −0.960594 | − | 0.277955i | \(-0.910343\pi\) |
−0.239581 | + | 0.970876i | \(0.577010\pi\) | |||||||
\(180\) | 1.08976 | + | 23.6523i | 0.0812258 | + | 1.76294i | ||||
\(181\) | 23.0045i | 1.70991i | 0.518700 | + | 0.854956i | \(0.326416\pi\) | ||||
−0.518700 | + | 0.854956i | \(0.673584\pi\) | |||||||
\(182\) | −1.24596 | − | 4.75752i | −0.0923570 | − | 0.352651i | ||||
\(183\) | 1.20990 | − | 3.92514i | 0.0894386 | − | 0.290154i | ||||
\(184\) | 9.51266 | + | 0.773405i | 0.701283 | + | 0.0570162i | ||||
\(185\) | 1.87213i | 0.137642i | ||||||||
\(186\) | 1.85528 | − | 1.12887i | 0.136036 | − | 0.0827728i | ||||
\(187\) | −9.48691 | −0.693751 | ||||||||
\(188\) | 0.591581 | + | 4.88764i | 0.0431455 | + | 0.356468i | ||||
\(189\) | 11.2848 | − | 7.85197i | 0.820848 | − | 0.571147i | ||||
\(190\) | −12.4861 | − | 11.0660i | −0.905836 | − | 0.802808i | ||||
\(191\) | − | 3.94412i | − | 0.285386i | −0.989767 | − | 0.142693i | \(-0.954424\pi\) | ||
0.989767 | − | 0.142693i | \(-0.0455762\pi\) | |||||||
\(192\) | −0.863340 | − | 13.8295i | −0.0623062 | − | 0.998057i | ||||
\(193\) | 5.75001 | 0.413895 | 0.206947 | − | 0.978352i | \(-0.433647\pi\) | ||||
0.206947 | + | 0.978352i | \(0.433647\pi\) | |||||||
\(194\) | −0.615966 | + | 3.01427i | −0.0442238 | + | 0.216412i | ||||
\(195\) | −8.58527 | − | 2.64637i | −0.614804 | − | 0.189510i | ||||
\(196\) | −0.158427 | + | 13.9991i | −0.0113162 | + | 0.999936i | ||||
\(197\) | −16.6012 | −1.18279 | −0.591393 | − | 0.806384i | \(-0.701422\pi\) | ||||
−0.591393 | + | 0.806384i | \(0.701422\pi\) | |||||||
\(198\) | −19.9714 | − | 5.65609i | −1.41930 | − | 0.401961i | ||||
\(199\) | −6.23391 | − | 10.7974i | −0.441910 | − | 0.765411i | 0.555921 | − | 0.831235i | \(-0.312366\pi\) |
−0.997831 | + | 0.0658244i | \(0.979032\pi\) | |||||||
\(200\) | −27.0242 | + | 12.8043i | −1.91090 | + | 0.905397i | ||||
\(201\) | −0.711636 | + | 2.30867i | −0.0501949 | + | 0.162841i | ||||
\(202\) | −0.957509 | + | 0.319461i | −0.0673701 | + | 0.0224772i | ||||
\(203\) | 6.31215 | − | 3.10941i | 0.443026 | − | 0.218238i | ||||
\(204\) | 2.27203 | + | 6.32131i | 0.159074 | + | 0.442580i | ||||
\(205\) | 40.0542 | 2.79751 | ||||||||
\(206\) | 1.61376 | + | 0.329771i | 0.112436 | + | 0.0229763i | ||||
\(207\) | −10.0950 | − | 0.752541i | −0.701650 | − | 0.0523052i | ||||
\(208\) | 5.04883 | + | 1.46658i | 0.350074 | + | 0.101689i | ||||
\(209\) | 12.6666 | − | 7.31308i | 0.876169 | − | 0.505856i | ||||
\(210\) | 21.5799 | + | 13.7245i | 1.48915 | + | 0.947082i | ||||
\(211\) | −19.4166 | − | 11.2102i | −1.33669 | − | 0.771739i | −0.350376 | − | 0.936609i | \(-0.613946\pi\) |
−0.986315 | + | 0.164870i | \(0.947279\pi\) | |||||||
\(212\) | 20.2933 | − | 15.2374i | 1.39375 | − | 1.04651i | ||||
\(213\) | 1.09967 | − | 3.56754i | 0.0753485 | − | 0.244444i | ||||
\(214\) | 16.3469 | − | 5.45396i | 1.11745 | − | 0.372825i | ||||
\(215\) | −5.26408 | + | 9.11765i | −0.359007 | + | 0.621819i | ||||
\(216\) | 1.01420 | + | 14.6619i | 0.0690075 | + | 0.997616i | ||||
\(217\) | 0.154433 | − | 2.34065i | 0.0104836 | − | 0.158893i | ||||
\(218\) | −13.1595 | − | 2.68915i | −0.891277 | − | 0.182132i | ||||
\(219\) | −7.73893 | + | 1.76795i | −0.522948 | + | 0.119467i | ||||
\(220\) | −4.63974 | − | 38.3336i | −0.312811 | − | 2.58445i | ||||
\(221\) | −2.54871 | −0.171445 | ||||||||
\(222\) | 0.0267493 | + | 1.16176i | 0.00179529 | + | 0.0779719i | ||||
\(223\) | −4.48502 | − | 7.76829i | −0.300339 | − | 0.520203i | 0.675873 | − | 0.737018i | \(-0.263767\pi\) |
−0.976213 | + | 0.216815i | \(0.930433\pi\) | |||||||
\(224\) | −12.7582 | − | 7.82486i | −0.852443 | − | 0.522820i | ||||
\(225\) | 28.5716 | − | 13.7732i | 1.90478 | − | 0.918210i | ||||
\(226\) | 5.59299 | + | 16.7637i | 0.372040 | + | 1.11510i | ||||
\(227\) | 3.89688 | − | 6.74960i | 0.258645 | − | 0.447987i | −0.707234 | − | 0.706980i | \(-0.750057\pi\) |
0.965879 | + | 0.258993i | \(0.0833906\pi\) | |||||||
\(228\) | −7.90639 | − | 6.68860i | −0.523613 | − | 0.442963i | ||||
\(229\) | −5.88977 | + | 3.40046i | −0.389207 | + | 0.224709i | −0.681816 | − | 0.731523i | \(-0.738810\pi\) |
0.292610 | + | 0.956232i | \(0.405476\pi\) | |||||||
\(230\) | −5.95993 | − | 17.8635i | −0.392986 | − | 1.17788i | ||||
\(231\) | −17.4005 | + | 14.1378i | −1.14487 | + | 0.930197i | ||||
\(232\) | −0.609571 | + | 7.49755i | −0.0400203 | + | 0.492238i | ||||
\(233\) | 8.45700 | − | 14.6480i | 0.554037 | − | 0.959619i | −0.443941 | − | 0.896056i | \(-0.646420\pi\) |
0.997978 | − | 0.0635635i | \(-0.0202466\pi\) | |||||||
\(234\) | −5.36542 | − | 1.51954i | −0.350749 | − | 0.0993355i | ||||
\(235\) | 8.41279 | − | 4.85713i | 0.548790 | − | 0.316844i | ||||
\(236\) | −1.68099 | − | 13.8883i | −0.109423 | − | 0.904052i | ||||
\(237\) | 5.12985 | − | 16.6421i | 0.333220 | − | 1.08102i | ||||
\(238\) | 6.99747 | + | 1.91747i | 0.453579 | + | 0.124291i | ||||
\(239\) | 16.8495 | + | 9.72804i | 1.08990 | + | 0.629254i | 0.933550 | − | 0.358447i | \(-0.116694\pi\) |
0.156351 | + | 0.987702i | \(0.450027\pi\) | |||||||
\(240\) | −24.4312 | + | 12.2721i | −1.57703 | + | 0.792160i | ||||
\(241\) | −20.4013 | − | 11.7787i | −1.31417 | − | 0.758734i | −0.331382 | − | 0.943497i | \(-0.607515\pi\) |
−0.982783 | + | 0.184763i | \(0.940848\pi\) | |||||||
\(242\) | 17.9238 | + | 3.66273i | 1.15219 | + | 0.235449i | ||||
\(243\) | −1.18014 | − | 15.5437i | −0.0757058 | − | 0.997130i | ||||
\(244\) | 4.70843 | − | 0.569889i | 0.301426 | − | 0.0364834i | ||||
\(245\) | 25.5300 | − | 10.5490i | 1.63105 | − | 0.673948i | ||||
\(246\) | 24.8557 | − | 0.572300i | 1.58474 | − | 0.0364885i | ||||
\(247\) | 3.40296 | − | 1.96470i | 0.216525 | − | 0.125011i | ||||
\(248\) | 2.06298 | + | 1.42571i | 0.130999 | + | 0.0905328i | ||||
\(249\) | 1.00013 | + | 4.37791i | 0.0633807 | + | 0.277439i | ||||
\(250\) | 23.2749 | + | 20.6276i | 1.47203 | + | 1.30461i | ||||
\(251\) | 4.53190 | 0.286051 | 0.143026 | − | 0.989719i | \(-0.454317\pi\) | ||||
0.143026 | + | 0.989719i | \(0.454317\pi\) | |||||||
\(252\) | 13.5875 | + | 8.20845i | 0.855935 | + | 0.517084i | ||||
\(253\) | 16.5087 | 1.03789 | ||||||||
\(254\) | −6.36526 | − | 5.64129i | −0.399392 | − | 0.353966i | ||||
\(255\) | 9.71399 | − | 9.01680i | 0.608313 | − | 0.564654i | ||||
\(256\) | 14.1786 | − | 7.41400i | 0.886162 | − | 0.463375i | ||||
\(257\) | 20.6842 | − | 11.9420i | 1.29025 | − | 0.744924i | 0.311549 | − | 0.950230i | \(-0.399152\pi\) |
0.978698 | + | 0.205306i | \(0.0658189\pi\) | |||||||
\(258\) | −3.13636 | + | 5.73319i | −0.195261 | + | 0.356933i | ||||
\(259\) | 1.04334 | + | 0.697789i | 0.0648297 | + | 0.0433585i | ||||
\(260\) | −1.24649 | − | 10.2985i | −0.0773042 | − | 0.638688i | ||||
\(261\) | 0.593127 | − | 7.95651i | 0.0367136 | − | 0.492496i | ||||
\(262\) | −2.76919 | − | 0.565884i | −0.171081 | − | 0.0349604i | ||||
\(263\) | 23.5572 | + | 13.6008i | 1.45260 | + | 0.838660i | 0.998628 | − | 0.0523561i | \(-0.0166731\pi\) |
0.453972 | + | 0.891016i | \(0.350006\pi\) | |||||||
\(264\) | −3.42692 | − | 23.7217i | −0.210912 | − | 1.45997i | ||||
\(265\) | −43.3635 | − | 25.0359i | −2.66380 | − | 1.53794i | ||||
\(266\) | −10.8209 | + | 2.83393i | −0.663472 | + | 0.173759i | ||||
\(267\) | 15.8794 | + | 17.1072i | 0.971801 | + | 1.04694i | ||||
\(268\) | −2.76938 | + | 0.335195i | −0.169167 | + | 0.0204753i | ||||
\(269\) | 15.8637 | − | 9.15891i | 0.967227 | − | 0.558429i | 0.0688372 | − | 0.997628i | \(-0.478071\pi\) |
0.898390 | + | 0.439199i | \(0.144738\pi\) | |||||||
\(270\) | 25.8252 | − | 13.1903i | 1.57167 | − | 0.802734i | ||||
\(271\) | −0.772505 | + | 1.33802i | −0.0469264 | + | 0.0812788i | −0.888535 | − | 0.458810i | \(-0.848276\pi\) |
0.841608 | + | 0.540089i | \(0.181609\pi\) | |||||||
\(272\) | −5.59801 | + | 5.36878i | −0.339429 | + | 0.325530i | ||||
\(273\) | −4.67475 | + | 3.79819i | −0.282929 | + | 0.229877i | ||||
\(274\) | 4.50339 | + | 13.4978i | 0.272060 | + | 0.815435i | ||||
\(275\) | −44.7963 | + | 25.8632i | −2.70132 | + | 1.55961i | ||||
\(276\) | −3.95369 | − | 11.0001i | −0.237984 | − | 0.662127i | ||||
\(277\) | −0.243046 | + | 0.420968i | −0.0146032 | + | 0.0252935i | −0.873235 | − | 0.487300i | \(-0.837982\pi\) |
0.858631 | + | 0.512593i | \(0.171315\pi\) | |||||||
\(278\) | 7.17929 | + | 21.5182i | 0.430585 | + | 1.29058i | ||||
\(279\) | −2.19823 | − | 1.49747i | −0.131604 | − | 0.0896510i | ||||
\(280\) | −4.32564 | + | 29.2123i | −0.258506 | + | 1.74577i | ||||
\(281\) | −13.1672 | − | 22.8062i | −0.785489 | − | 1.36051i | −0.928707 | − | 0.370815i | \(-0.879078\pi\) |
0.143218 | − | 0.989691i | \(-0.454255\pi\) | |||||||
\(282\) | 5.15118 | − | 3.13431i | 0.306748 | − | 0.186645i | ||||
\(283\) | 17.1770 | 1.02107 | 0.510533 | − | 0.859858i | \(-0.329448\pi\) | ||||
0.510533 | + | 0.859858i | \(0.329448\pi\) | |||||||
\(284\) | 4.27947 | − | 0.517969i | 0.253940 | − | 0.0307358i | ||||
\(285\) | −6.01912 | + | 19.5271i | −0.356542 | + | 1.15668i | ||||
\(286\) | 8.91002 | + | 1.82076i | 0.526860 | + | 0.107664i | ||||
\(287\) | 14.9292 | − | 22.3221i | 0.881241 | − | 1.31763i | ||||
\(288\) | −14.9855 | + | 7.96456i | −0.883030 | + | 0.469316i | ||||
\(289\) | −6.61996 | + | 11.4661i | −0.389409 | + | 0.674476i | ||||
\(290\) | 14.0794 | − | 4.69741i | 0.826769 | − | 0.275841i | ||||
\(291\) | 3.67337 | − | 0.839180i | 0.215337 | − | 0.0491936i | ||||
\(292\) | −5.50383 | − | 7.33008i | −0.322087 | − | 0.428960i | ||||
\(293\) | 21.5170 | + | 12.4229i | 1.25704 | + | 0.725751i | 0.972498 | − | 0.232913i | \(-0.0748258\pi\) |
0.284540 | + | 0.958664i | \(0.408159\pi\) | |||||||
\(294\) | 15.6920 | − | 6.91096i | 0.915176 | − | 0.403055i | ||||
\(295\) | −23.9051 | + | 13.8016i | −1.39181 | + | 0.803561i | ||||
\(296\) | −1.21261 | + | 0.574543i | −0.0704815 | + | 0.0333946i | ||||
\(297\) | 3.80369 | + | 25.1357i | 0.220712 | + | 1.45852i | ||||
\(298\) | −13.4270 | − | 2.74381i | −0.777807 | − | 0.158944i | ||||
\(299\) | 4.43516 | 0.256492 | ||||||||
\(300\) | 27.9614 | + | 23.6546i | 1.61435 | + | 1.36570i | ||||
\(301\) | 3.11920 | + | 6.33203i | 0.179788 | + | 0.364972i | ||||
\(302\) | −22.1990 | + | 7.40641i | −1.27741 | + | 0.426191i | ||||
\(303\) | 0.841042 | + | 0.906072i | 0.0483166 | + | 0.0520525i | ||||
\(304\) | 3.33571 | − | 11.4835i | 0.191316 | − | 0.658624i | ||||
\(305\) | −4.67903 | − | 8.10432i | −0.267921 | − | 0.464052i | ||||
\(306\) | 5.89921 | − | 5.73419i | 0.337235 | − | 0.327802i | ||||
\(307\) | −32.0881 | −1.83136 | −0.915682 | − | 0.401904i | \(-0.868348\pi\) | ||||
−0.915682 | + | 0.401904i | \(0.868348\pi\) | |||||||
\(308\) | −23.0926 | − | 11.7021i | −1.31582 | − | 0.666791i | ||||
\(309\) | −0.449274 | − | 1.96662i | −0.0255583 | − | 0.111877i | ||||
\(310\) | 0.990643 | − | 4.84779i | 0.0562647 | − | 0.275336i | ||||
\(311\) | −13.0485 | −0.739915 | −0.369957 | − | 0.929049i | \(-0.620628\pi\) | ||||
−0.369957 | + | 0.929049i | \(0.620628\pi\) | |||||||
\(312\) | −0.920661 | − | 6.37297i | −0.0521222 | − | 0.360798i | ||||
\(313\) | 13.3212i | 0.752960i | 0.926425 | + | 0.376480i | \(0.122866\pi\) | ||||
−0.926425 | + | 0.376480i | \(0.877134\pi\) | |||||||
\(314\) | −13.8634 | − | 12.2866i | −0.782355 | − | 0.693371i | ||||
\(315\) | 4.37984 | − | 31.0145i | 0.246776 | − | 1.74747i | ||||
\(316\) | 19.9632 | − | 2.41627i | 1.12302 | − | 0.135926i | ||||
\(317\) | −19.6535 | −1.10385 | −0.551927 | − | 0.833893i | \(-0.686107\pi\) | ||||
−0.551927 | + | 0.833893i | \(0.686107\pi\) | |||||||
\(318\) | −27.2670 | − | 14.9165i | −1.52906 | − | 0.836477i | ||||
\(319\) | 13.0116i | 0.728509i | ||||||||
\(320\) | −24.4313 | − | 19.9941i | −1.36575 | − | 1.11770i | ||||
\(321\) | −14.3586 | − | 15.4688i | −0.801417 | − | 0.863384i | ||||
\(322\) | −12.1767 | − | 3.33670i | −0.678581 | − | 0.185947i | ||||
\(323\) | 5.79701i | 0.322554i | ||||||||
\(324\) | 15.8375 | − | 8.55424i | 0.879859 | − | 0.475236i | ||||
\(325\) | −12.0348 | + | 6.94828i | −0.667569 | + | 0.385421i | ||||
\(326\) | −10.7762 | + | 3.59536i | −0.596840 | + | 0.199128i | ||||
\(327\) | 3.66364 | + | 16.0370i | 0.202600 | + | 0.886848i | ||||
\(328\) | 12.2923 | + | 25.9438i | 0.678731 | + | 1.43250i | ||||
\(329\) | 0.428783 | − | 6.49880i | 0.0236396 | − | 0.358291i | ||||
\(330\) | −40.4005 | + | 24.5822i | −2.22397 | + | 1.35321i | ||||
\(331\) | − | 14.4064i | − | 0.791847i | −0.918283 | − | 0.395924i | \(-0.870425\pi\) | ||
0.918283 | − | 0.395924i | \(-0.129575\pi\) | |||||||
\(332\) | −4.14662 | + | 3.11351i | −0.227575 | + | 0.170876i | ||||
\(333\) | 1.28205 | − | 0.618019i | 0.0702557 | − | 0.0338672i | ||||
\(334\) | −4.32972 | − | 12.9773i | −0.236912 | − | 0.710087i | ||||
\(335\) | 2.75209 | + | 4.76677i | 0.150363 | + | 0.260436i | ||||
\(336\) | −2.26690 | + | 18.1896i | −0.123669 | + | 0.992323i | ||||
\(337\) | −0.489878 | + | 0.848494i | −0.0266854 | + | 0.0462204i | −0.879060 | − | 0.476712i | \(-0.841829\pi\) |
0.852374 | + | 0.522932i | \(0.175162\pi\) | |||||||
\(338\) | −15.6188 | − | 3.19170i | −0.849551 | − | 0.173605i | ||||
\(339\) | 15.8631 | − | 14.7246i | 0.861567 | − | 0.799731i | ||||
\(340\) | 14.0773 | + | 6.00410i | 0.763448 | + | 0.325618i | ||||
\(341\) | 3.75652 | + | 2.16883i | 0.203427 | + | 0.117449i | ||||
\(342\) | −3.45618 | + | 12.2036i | −0.186889 | + | 0.659894i | ||||
\(343\) | 3.63674 | − | 18.1597i | 0.196365 | − | 0.980531i | ||||
\(344\) | −7.52116 | − | 0.611491i | −0.405514 | − | 0.0329694i | ||||
\(345\) | −16.9039 | + | 15.6907i | −0.910074 | + | 0.844757i | ||||
\(346\) | 17.3445 | + | 15.3718i | 0.932448 | + | 0.826394i | ||||
\(347\) | 27.4334i | 1.47270i | 0.676600 | + | 0.736351i | \(0.263453\pi\) | ||||
−0.676600 | + | 0.736351i | \(0.736547\pi\) | |||||||
\(348\) | 8.66987 | − | 3.11616i | 0.464754 | − | 0.167044i | ||||
\(349\) | 13.0352 | − | 7.52589i | 0.697760 | − | 0.402852i | −0.108753 | − | 0.994069i | \(-0.534686\pi\) |
0.806512 | + | 0.591217i | \(0.201352\pi\) | |||||||
\(350\) | 38.2688 | − | 10.0224i | 2.04555 | − | 0.535718i | ||||
\(351\) | 1.02188 | + | 6.75285i | 0.0545441 | + | 0.360440i | ||||
\(352\) | 23.4054 | − | 14.7695i | 1.24751 | − | 0.787219i | ||||
\(353\) | 16.0275 | + | 9.25348i | 0.853058 | + | 0.492513i | 0.861681 | − | 0.507450i | \(-0.169412\pi\) |
−0.00862373 | + | 0.999963i | \(0.502745\pi\) | |||||||
\(354\) | −14.6372 | + | 8.90618i | −0.777956 | + | 0.473358i | ||||
\(355\) | −4.25275 | − | 7.36598i | −0.225712 | − | 0.390945i | ||||
\(356\) | −10.5737 | + | 24.7913i | −0.560407 | + | 1.31394i | ||||
\(357\) | −1.40441 | − | 8.77437i | −0.0743292 | − | 0.464389i | ||||
\(358\) | −5.24983 | + | 25.6904i | −0.277462 | + | 1.35778i | ||||
\(359\) | 5.04854 | + | 2.91478i | 0.266452 | + | 0.153836i | 0.627274 | − | 0.778799i | \(-0.284171\pi\) |
−0.360822 | + | 0.932635i | \(0.617504\pi\) | |||||||
\(360\) | 26.0552 | + | 21.0324i | 1.37323 | + | 1.10851i | ||||
\(361\) | 5.03132 | + | 8.71450i | 0.264806 | + | 0.458658i | ||||
\(362\) | 24.3474 | + | 21.5782i | 1.27967 | + | 1.13413i | ||||
\(363\) | −4.99003 | − | 21.8430i | −0.261909 | − | 1.14646i | ||||
\(364\) | −6.20395 | − | 3.14384i | −0.325175 | − | 0.164782i | ||||
\(365\) | −9.04313 | + | 15.6632i | −0.473339 | + | 0.819848i | ||||
\(366\) | −3.01938 | − | 4.96230i | −0.157826 | − | 0.259384i | ||||
\(367\) | −0.903984 | + | 1.56575i | −0.0471876 | + | 0.0817313i | −0.888654 | − | 0.458577i | \(-0.848359\pi\) |
0.841467 | + | 0.540309i | \(0.181693\pi\) | |||||||
\(368\) | 9.74142 | − | 9.34252i | 0.507806 | − | 0.487012i | ||||
\(369\) | −13.2225 | − | 27.4293i | −0.688336 | − | 1.42791i | ||||
\(370\) | 1.98142 | + | 1.75606i | 0.103009 | + | 0.0912930i | ||||
\(371\) | −30.1151 | + | 14.8349i | −1.56350 | + | 0.770190i | ||||
\(372\) | 0.545480 | − | 3.02246i | 0.0282818 | − | 0.156707i | ||||
\(373\) | 2.97957 | + | 5.16077i | 0.154276 | + | 0.267214i | 0.932795 | − | 0.360407i | \(-0.117362\pi\) |
−0.778519 | + | 0.627621i | \(0.784029\pi\) | |||||||
\(374\) | −8.89870 | + | 10.0407i | −0.460141 | + | 0.519193i | ||||
\(375\) | 11.2200 | − | 36.3997i | 0.579400 | − | 1.87967i | ||||
\(376\) | 5.72787 | + | 3.95849i | 0.295392 | + | 0.204143i | ||||
\(377\) | 3.49564i | 0.180034i | ||||||||
\(378\) | 2.27478 | − | 19.3087i | 0.117002 | − | 0.993132i | ||||
\(379\) | 16.5311i | 0.849146i | 0.905394 | + | 0.424573i | \(0.139576\pi\) | ||||
−0.905394 | + | 0.424573i | \(0.860424\pi\) | |||||||
\(380\) | −23.4239 | + | 2.83513i | −1.20162 | + | 0.145439i | ||||
\(381\) | −3.06848 | + | 9.95467i | −0.157203 | + | 0.509993i | ||||
\(382\) | −4.17436 | − | 3.69957i | −0.213579 | − | 0.189287i | ||||
\(383\) | −1.64900 | − | 2.85616i | −0.0842601 | − | 0.145943i | 0.820816 | − | 0.571193i | \(-0.193519\pi\) |
−0.905076 | + | 0.425250i | \(0.860186\pi\) | |||||||
\(384\) | −15.4466 | − | 12.0583i | −0.788256 | − | 0.615347i | ||||
\(385\) | −3.36293 | + | 50.9698i | −0.171391 | + | 2.59766i | ||||
\(386\) | 5.39350 | − | 6.08567i | 0.274522 | − | 0.309753i | ||||
\(387\) | 7.98157 | + | 0.594994i | 0.405726 | + | 0.0302453i | ||||
\(388\) | 2.61246 | + | 3.47931i | 0.132628 | + | 0.176635i | ||||
\(389\) | −4.82441 | + | 8.35612i | −0.244607 | + | 0.423672i | −0.962021 | − | 0.272975i | \(-0.911992\pi\) |
0.717414 | + | 0.696647i | \(0.245326\pi\) | |||||||
\(390\) | −10.8538 | + | 6.60416i | −0.549604 | + | 0.334414i | ||||
\(391\) | −3.27157 | + | 5.66653i | −0.165451 | + | 0.286569i | ||||
\(392\) | 14.6677 | + | 13.2988i | 0.740831 | + | 0.671691i | ||||
\(393\) | 0.770949 | + | 3.37470i | 0.0388892 | + | 0.170231i | ||||
\(394\) | −15.5719 | + | 17.5703i | −0.784500 | + | 0.885178i | ||||
\(395\) | −19.8386 | − | 34.3614i | −0.998186 | − | 1.72891i | ||||
\(396\) | −24.7194 | + | 15.8318i | −1.24220 | + | 0.795579i | ||||
\(397\) | −3.22184 | − | 1.86013i | −0.161700 | − | 0.0933573i | 0.416967 | − | 0.908922i | \(-0.363093\pi\) |
−0.578666 | + | 0.815565i | \(0.696427\pi\) | |||||||
\(398\) | −17.2751 | − | 3.53017i | −0.865925 | − | 0.176951i | ||||
\(399\) | 8.63893 | + | 10.6327i | 0.432488 | + | 0.532299i | ||||
\(400\) | −11.7969 | + | 40.6121i | −0.589847 | + | 2.03061i | ||||
\(401\) | 11.9860 | + | 20.7604i | 0.598553 | + | 1.03672i | 0.993035 | + | 0.117821i | \(0.0375908\pi\) |
−0.394482 | + | 0.918904i | \(0.629076\pi\) | |||||||
\(402\) | 1.77593 | + | 2.91871i | 0.0885752 | + | 0.145572i | ||||
\(403\) | 1.00921 | + | 0.582668i | 0.0502724 | + | 0.0290248i | ||||
\(404\) | −0.560032 | + | 1.31306i | −0.0278626 | + | 0.0653271i | ||||
\(405\) | −27.7849 | − | 22.1221i | −1.38064 | − | 1.09926i | ||||
\(406\) | 2.62987 | − | 9.59725i | 0.130518 | − | 0.476303i | ||||
\(407\) | −2.01007 | + | 1.16051i | −0.0996353 | + | 0.0575245i | ||||
\(408\) | 8.82148 | + | 3.52472i | 0.436728 | + | 0.174500i | ||||
\(409\) | 22.1550i | 1.09549i | 0.836644 | + | 0.547747i | \(0.184514\pi\) | ||||
−0.836644 | + | 0.547747i | \(0.815486\pi\) | |||||||
\(410\) | 37.5708 | − | 42.3924i | 1.85549 | − | 2.09361i | ||||
\(411\) | 12.7728 | − | 11.8560i | 0.630033 | − | 0.584815i | ||||
\(412\) | 1.86273 | − | 1.39864i | 0.0917700 | − | 0.0689061i | ||||
\(413\) | −1.21839 | + | 18.4665i | −0.0599532 | + | 0.908675i | ||||
\(414\) | −10.2656 | + | 9.97840i | −0.504524 | + | 0.490412i | ||||
\(415\) | 8.86064 | + | 5.11570i | 0.434952 | + | 0.251120i | ||||
\(416\) | 6.28799 | − | 3.96792i | 0.308294 | − | 0.194543i | ||||
\(417\) | 20.3623 | − | 18.9008i | 0.997144 | − | 0.925578i | ||||
\(418\) | 4.14129 | − | 20.2657i | 0.202557 | − | 0.991228i | ||||
\(419\) | 17.6835 | − | 30.6287i | 0.863895 | − | 1.49631i | −0.00424524 | − | 0.999991i | \(-0.501351\pi\) |
0.868140 | − | 0.496319i | \(-0.165315\pi\) | |||||||
\(420\) | 34.7676 | − | 9.96603i | 1.69648 | − | 0.486293i | ||||
\(421\) | −15.4856 | − | 26.8219i | −0.754723 | − | 1.30722i | −0.945512 | − | 0.325588i | \(-0.894438\pi\) |
0.190788 | − | 0.981631i | \(-0.438896\pi\) | |||||||
\(422\) | −30.0773 | + | 10.0349i | −1.46414 | + | 0.488492i | ||||
\(423\) | −6.10338 | − | 4.15772i | −0.296756 | − | 0.202155i | ||||
\(424\) | 2.90825 | − | 35.7706i | 0.141237 | − | 1.73717i | ||||
\(425\) | − | 20.5015i | − | 0.994467i | ||||||
\(426\) | −2.74430 | − | 4.51021i | −0.132962 | − | 0.218520i | ||||
\(427\) | −6.26051 | − | 0.413061i | −0.302967 | − | 0.0199894i | ||||
\(428\) | 9.56107 | − | 22.4170i | 0.462152 | − | 1.08357i | ||||
\(429\) | −2.48057 | − | 10.8583i | −0.119763 | − | 0.524242i | ||||
\(430\) | 4.71220 | + | 14.1237i | 0.227243 | + | 0.681106i | ||||
\(431\) | −4.22345 | + | 2.43841i | −0.203437 | + | 0.117454i | −0.598257 | − | 0.801304i | \(-0.704140\pi\) |
0.394821 | + | 0.918758i | \(0.370807\pi\) | |||||||
\(432\) | 16.4691 | + | 12.6794i | 0.792371 | + | 0.610040i | ||||
\(433\) | 13.0744i | 0.628314i | 0.949371 | + | 0.314157i | \(0.101722\pi\) | ||||
−0.949371 | + | 0.314157i | \(0.898278\pi\) | |||||||
\(434\) | −2.33243 | − | 2.35897i | −0.111960 | − | 0.113234i | ||||
\(435\) | −12.3668 | − | 13.3230i | −0.592944 | − | 0.638791i | ||||
\(436\) | −15.1898 | + | 11.4053i | −0.727458 | + | 0.546216i | ||||
\(437\) | − | 10.0877i | − | 0.482560i | ||||||
\(438\) | −5.38794 | + | 9.84903i | −0.257446 | + | 0.470605i | ||||
\(439\) | −1.91733 | −0.0915094 | −0.0457547 | − | 0.998953i | \(-0.514569\pi\) | ||||
−0.0457547 | + | 0.998953i | \(0.514569\pi\) | |||||||
\(440\) | −44.9234 | − | 31.0463i | −2.14164 | − | 1.48007i | ||||
\(441\) | −15.6518 | − | 14.0007i | −0.745325 | − | 0.666701i | ||||
\(442\) | −2.39069 | + | 2.69749i | −0.113713 | + | 0.128307i | ||||
\(443\) | − | 21.2905i | − | 1.01154i | −0.862668 | − | 0.505770i | \(-0.831208\pi\) | ||
0.862668 | − | 0.505770i | \(-0.168792\pi\) | |||||||
\(444\) | 1.25466 | + | 1.06141i | 0.0595438 | + | 0.0503725i | ||||
\(445\) | 53.1794 | 2.52095 | ||||||||
\(446\) | −12.4287 | − | 2.53980i | −0.588516 | − | 0.120263i | ||||
\(447\) | 3.73811 | + | 16.3630i | 0.176806 | + | 0.773942i | ||||
\(448\) | −20.2488 | + | 6.16326i | −0.956666 | + | 0.291187i | ||||
\(449\) | 5.99969 | 0.283143 | 0.141572 | − | 0.989928i | \(-0.454784\pi\) | ||||
0.141572 | + | 0.989928i | \(0.454784\pi\) | |||||||
\(450\) | 12.2230 | − | 43.1587i | 0.576197 | − | 2.03452i | ||||
\(451\) | 24.8291 | + | 43.0053i | 1.16916 | + | 2.02504i | ||||
\(452\) | 22.9885 | + | 9.80480i | 1.08129 | + | 0.461179i | ||||
\(453\) | 19.4988 | + | 21.0064i | 0.916133 | + | 0.986969i | ||||
\(454\) | −3.48834 | − | 10.4555i | −0.163716 | − | 0.490700i | ||||
\(455\) | −0.903469 | + | 13.6933i | −0.0423553 | + | 0.641953i | ||||
\(456\) | −14.4952 | + | 2.09403i | −0.678801 | + | 0.0980620i | ||||
\(457\) | −25.3351 | −1.18513 | −0.592563 | − | 0.805524i | \(-0.701884\pi\) | ||||
−0.592563 | + | 0.805524i | \(0.701884\pi\) | |||||||
\(458\) | −1.92563 | + | 9.42321i | −0.0899788 | + | 0.440318i | ||||
\(459\) | −9.38149 | − | 3.67561i | −0.437890 | − | 0.171563i | ||||
\(460\) | −24.4967 | − | 10.4481i | −1.14216 | − | 0.487144i | ||||
\(461\) | −17.3693 | + | 10.0282i | −0.808970 | + | 0.467059i | −0.846598 | − | 0.532233i | \(-0.821353\pi\) |
0.0376278 | + | 0.999292i | \(0.488020\pi\) | |||||||
\(462\) | −1.35861 | + | 31.6775i | −0.0632082 | + | 1.47377i | ||||
\(463\) | 33.2880 | + | 19.2188i | 1.54702 | + | 0.893175i | 0.998367 | + | 0.0571279i | \(0.0181943\pi\) |
0.548658 | + | 0.836047i | \(0.315139\pi\) | |||||||
\(464\) | 7.36344 | + | 7.67784i | 0.341839 | + | 0.356435i | ||||
\(465\) | −5.90780 | + | 1.34963i | −0.273968 | + | 0.0625877i | ||||
\(466\) | −7.57039 | − | 22.6904i | −0.350691 | − | 1.05111i | ||||
\(467\) | 16.3595 | − | 28.3355i | 0.757028 | − | 1.31121i | −0.187332 | − | 0.982297i | \(-0.559984\pi\) |
0.944360 | − | 0.328914i | \(-0.106683\pi\) | |||||||
\(468\) | −6.64100 | + | 4.25331i | −0.306981 | + | 0.196609i | ||||
\(469\) | 3.68228 | + | 0.242952i | 0.170032 | + | 0.0112185i | ||||
\(470\) | 2.75052 | − | 13.4599i | 0.126872 | − | 0.620858i | ||||
\(471\) | −6.68306 | + | 21.6810i | −0.307939 | + | 0.999008i | ||||
\(472\) | −16.2758 | − | 11.2481i | −0.749155 | − | 0.517736i | ||||
\(473\) | −13.0526 | −0.600158 | ||||||||
\(474\) | −12.8018 | − | 21.0396i | −0.588008 | − | 0.966381i | ||||
\(475\) | 15.8038 | + | 27.3729i | 0.725126 | + | 1.25596i | ||||
\(476\) | 8.59301 | − | 5.60737i | 0.393860 | − | 0.257013i | ||||
\(477\) | −2.82979 | + | 37.9603i | −0.129567 | + | 1.73808i | ||||
\(478\) | 26.1007 | − | 8.70817i | 1.19382 | − | 0.398302i | ||||
\(479\) | −18.3983 | + | 31.8668i | −0.840639 | + | 1.45603i | 0.0487157 | + | 0.998813i | \(0.484487\pi\) |
−0.889355 | + | 0.457217i | \(0.848846\pi\) | |||||||
\(480\) | −9.92797 | + | 37.3686i | −0.453148 | + | 1.70564i | ||||
\(481\) | −0.540016 | + | 0.311778i | −0.0246226 | + | 0.0142159i | ||||
\(482\) | −31.6027 | + | 10.5439i | −1.43946 | + | 0.480259i | ||||
\(483\) | 2.44389 | + | 15.2688i | 0.111201 | + | 0.694754i | ||||
\(484\) | 20.6891 | − | 15.5345i | 0.940412 | − | 0.706114i | ||||
\(485\) | 4.29243 | − | 7.43471i | 0.194909 | − | 0.337593i | ||||
\(486\) | −17.5581 | − | 13.3310i | −0.796450 | − | 0.604705i | ||||
\(487\) | 3.93075 | − | 2.26942i | 0.178119 | − | 0.102837i | −0.408289 | − | 0.912853i | \(-0.633875\pi\) |
0.586409 | + | 0.810015i | \(0.300541\pi\) | |||||||
\(488\) | 3.81334 | − | 5.51784i | 0.172622 | − | 0.249781i | ||||
\(489\) | 9.46546 | + | 10.1973i | 0.428043 | + | 0.461139i | ||||
\(490\) | 12.7824 | − | 36.9153i | 0.577448 | − | 1.66766i | ||||
\(491\) | 10.6660 | + | 6.15804i | 0.481351 | + | 0.277908i | 0.720980 | − | 0.692956i | \(-0.243692\pi\) |
−0.239628 | + | 0.970865i | \(0.577025\pi\) | |||||||
\(492\) | 22.7089 | − | 26.8435i | 1.02380 | − | 1.21020i | ||||
\(493\) | −4.46616 | − | 2.57854i | −0.201146 | − | 0.116132i | ||||
\(494\) | 1.11258 | − | 5.44449i | 0.0500574 | − | 0.244959i | ||||
\(495\) | 47.8685 | + | 32.6088i | 2.15153 | + | 1.46566i | ||||
\(496\) | 3.44401 | − | 0.846093i | 0.154641 | − | 0.0379907i | ||||
\(497\) | −5.69015 | − | 0.375429i | −0.255238 | − | 0.0168403i | ||||
\(498\) | 5.57159 | + | 3.04796i | 0.249669 | + | 0.136582i | ||||
\(499\) | 11.2164 | − | 6.47580i | 0.502115 | − | 0.289896i | −0.227471 | − | 0.973785i | \(-0.573046\pi\) |
0.729587 | + | 0.683888i | \(0.239712\pi\) | |||||||
\(500\) | 43.6636 | − | 5.28487i | 1.95270 | − | 0.236346i | ||||
\(501\) | −12.2802 | + | 11.3988i | −0.548638 | + | 0.509261i | ||||
\(502\) | 4.25092 | − | 4.79645i | 0.189728 | − | 0.214076i | ||||
\(503\) | −20.4872 | −0.913480 | −0.456740 | − | 0.889600i | \(-0.650983\pi\) | ||||
−0.456740 | + | 0.889600i | \(0.650983\pi\) | |||||||
\(504\) | 21.4327 | − | 6.68121i | 0.954689 | − | 0.297605i | ||||
\(505\) | 2.81662 | 0.125338 | ||||||||
\(506\) | 15.4852 | − | 17.4724i | 0.688399 | − | 0.776744i | ||||
\(507\) | 4.34831 | + | 19.0340i | 0.193115 | + | 0.845330i | ||||
\(508\) | −11.9412 | + | 1.44532i | −0.529806 | + | 0.0641255i | ||||
\(509\) | −24.6392 | + | 14.2255i | −1.09211 | + | 0.630533i | −0.934139 | − | 0.356910i | \(-0.883830\pi\) |
−0.157976 | + | 0.987443i | \(0.550497\pi\) | |||||||
\(510\) | −0.431458 | − | 18.7388i | −0.0191053 | − | 0.829768i | ||||
\(511\) | 5.35846 | + | 10.8778i | 0.237044 | + | 0.481204i | ||||
\(512\) | 5.45270 | − | 21.9606i | 0.240977 | − | 0.970531i | ||||
\(513\) | 15.3593 | − | 2.32426i | 0.678128 | − | 0.102618i | ||||
\(514\) | 6.76260 | − | 33.0933i | 0.298286 | − | 1.45968i | ||||
\(515\) | −3.98034 | − | 2.29805i | −0.175395 | − | 0.101264i | ||||
\(516\) | 3.12597 | + | 8.69718i | 0.137613 | + | 0.382872i | ||||
\(517\) | 10.4300 | + | 6.02176i | 0.458710 | + | 0.264837i | ||||
\(518\) | 1.71717 | − | 0.449716i | 0.0754481 | − | 0.0197594i | ||||
\(519\) | 8.36122 | − | 27.1252i | 0.367017 | − | 1.19067i | ||||
\(520\) | −12.0689 | − | 8.34075i | −0.529257 | − | 0.365766i | ||||
\(521\) | 32.0751 | − | 18.5186i | 1.40524 | − | 0.811314i | 0.410314 | − | 0.911944i | \(-0.365419\pi\) |
0.994924 | + | 0.100630i | \(0.0320858\pi\) | |||||||
\(522\) | −7.86463 | − | 8.09095i | −0.344225 | − | 0.354131i | ||||
\(523\) | −2.33168 | + | 4.03859i | −0.101957 | + | 0.176595i | −0.912491 | − | 0.409097i | \(-0.865844\pi\) |
0.810534 | + | 0.585692i | \(0.199177\pi\) | |||||||
\(524\) | −3.19642 | + | 2.40005i | −0.139636 | + | 0.104847i | ||||
\(525\) | −30.5521 | − | 37.6031i | −1.33340 | − | 1.64113i | ||||
\(526\) | 36.4914 | − | 12.1749i | 1.59110 | − | 0.530851i | ||||
\(527\) | −1.48888 | + | 0.859605i | −0.0648566 | + | 0.0374450i | ||||
\(528\) | −28.3209 | − | 18.6240i | −1.23251 | − | 0.810504i | ||||
\(529\) | −5.80694 | + | 10.0579i | −0.252476 | + | 0.437301i | ||||
\(530\) | −67.1723 | + | 22.4112i | −2.91778 | + | 0.973481i | ||||
\(531\) | 17.3428 | + | 11.8142i | 0.752615 | + | 0.512693i | ||||
\(532\) | −7.15063 | + | 14.1108i | −0.310019 | + | 0.611781i | ||||
\(533\) | 6.67049 | + | 11.5536i | 0.288931 | + | 0.500443i | ||||
\(534\) | 33.0006 | − | 0.759835i | 1.42808 | − | 0.0328813i | ||||
\(535\) | −48.0864 | −2.07895 | ||||||||
\(536\) | −2.24292 | + | 3.24546i | −0.0968792 | + | 0.140183i | ||||
\(537\) | 31.3079 | − | 7.15227i | 1.35104 | − | 0.308643i | ||||
\(538\) | 5.18656 | − | 25.3808i | 0.223608 | − | 1.09424i | ||||
\(539\) | 27.1520 | + | 20.8718i | 1.16952 | + | 0.899014i | ||||
\(540\) | 10.2638 | − | 39.7052i | 0.441683 | − | 1.70864i | ||||
\(541\) | 11.6836 | − | 20.2366i | 0.502318 | − | 0.870040i | −0.497678 | − | 0.867362i | \(-0.665814\pi\) |
0.999996 | − | 0.00267870i | \(-0.000852658\pi\) | |||||||
\(542\) | 0.691517 | + | 2.07266i | 0.0297032 | + | 0.0890284i | ||||
\(543\) | 11.7371 | − | 38.0771i | 0.503686 | − | 1.63404i | ||||
\(544\) | 0.431260 | + | 10.9607i | 0.0184901 | + | 0.469936i | ||||
\(545\) | 32.4580 | + | 18.7396i | 1.39035 | + | 0.802718i | ||||
\(546\) | −0.364998 | + | 8.51034i | −0.0156205 | + | 0.364209i | ||||
\(547\) | −21.8092 | + | 12.5915i | −0.932493 | + | 0.538375i | −0.887599 | − | 0.460617i | \(-0.847628\pi\) |
−0.0448939 | + | 0.998992i | \(0.514295\pi\) | |||||||
\(548\) | 18.5100 | + | 7.89468i | 0.790707 | + | 0.337244i | ||||
\(549\) | −4.00526 | + | 5.87959i | −0.170940 | + | 0.250935i | ||||
\(550\) | −14.6459 | + | 71.6709i | −0.624504 | + | 3.05606i | ||||
\(551\) | 7.95077 | 0.338714 | ||||||||
\(552\) | −15.3508 | − | 6.13357i | −0.653372 | − | 0.261062i | ||||
\(553\) | −26.5439 | − | 1.75133i | −1.12876 | − | 0.0744742i | ||||
\(554\) | 0.217566 | + | 0.652102i | 0.00924348 | + | 0.0277051i | ||||
\(555\) | 0.955174 | − | 3.09875i | 0.0405449 | − | 0.131535i | ||||
\(556\) | 29.5085 | + | 12.5857i | 1.25144 | + | 0.533751i | ||||
\(557\) | −3.17042 | − | 5.49134i | −0.134335 | − | 0.232675i | 0.791008 | − | 0.611806i | \(-0.209557\pi\) |
−0.925343 | + | 0.379130i | \(0.876223\pi\) | |||||||
\(558\) | −3.64682 | + | 0.921930i | −0.154382 | + | 0.0390284i | ||||
\(559\) | −3.50664 | −0.148315 | ||||||||
\(560\) | 26.8602 | + | 31.9793i | 1.13505 | + | 1.35137i | ||||
\(561\) | 15.7027 | + | 4.84029i | 0.662970 | + | 0.204357i | ||||
\(562\) | −36.4884 | − | 7.45638i | −1.53917 | − | 0.314529i | ||||
\(563\) | −1.28515 | −0.0541628 | −0.0270814 | − | 0.999633i | \(-0.508621\pi\) | ||||
−0.0270814 | + | 0.999633i | \(0.508621\pi\) | |||||||
\(564\) | 1.51453 | − | 8.39186i | 0.0637730 | − | 0.353361i | ||||
\(565\) | − | 49.3122i | − | 2.07458i | ||||||
\(566\) | 16.1120 | − | 18.1797i | 0.677237 | − | 0.764149i | ||||
\(567\) | −22.6847 | + | 7.23900i | −0.952669 | + | 0.304010i | ||||
\(568\) | 3.46593 | − | 5.01514i | 0.145427 | − | 0.210430i | ||||
\(569\) | −19.8770 | −0.833286 | −0.416643 | − | 0.909070i | \(-0.636793\pi\) | ||||
−0.416643 | + | 0.909070i | \(0.636793\pi\) | |||||||
\(570\) | 15.0211 | + | 24.6869i | 0.629163 | + | 1.03402i | ||||
\(571\) | − | 14.3467i | − | 0.600391i | −0.953878 | − | 0.300196i | \(-0.902948\pi\) | ||
0.953878 | − | 0.300196i | \(-0.0970519\pi\) | |||||||
\(572\) | 10.2846 | − | 7.72227i | 0.430022 | − | 0.322885i | ||||
\(573\) | −2.01232 | + | 6.52830i | −0.0840657 | + | 0.272724i | ||||
\(574\) | −9.62167 | − | 36.7388i | −0.401601 | − | 1.53345i | ||||
\(575\) | 35.6758i | 1.48778i | ||||||||
\(576\) | −5.62690 | + | 23.3311i | −0.234454 | + | 0.972127i | ||||
\(577\) | 10.9881 | − | 6.34398i | 0.457440 | − | 0.264103i | −0.253527 | − | 0.967328i | \(-0.581591\pi\) |
0.710967 | + | 0.703225i | \(0.248257\pi\) | |||||||
\(578\) | 5.92593 | + | 17.7616i | 0.246486 | + | 0.738784i | ||||
\(579\) | −9.51742 | − | 2.93370i | −0.395531 | − | 0.121920i | ||||
\(580\) | 8.23481 | − | 19.3074i | 0.341932 | − | 0.801697i | ||||
\(581\) | 6.15354 | − | 3.03128i | 0.255292 | − | 0.125759i | ||||
\(582\) | 2.55745 | − | 4.67496i | 0.106010 | − | 0.193783i | ||||
\(583\) | − | 62.0779i | − | 2.57101i | ||||||
\(584\) | −12.9206 | − | 1.05048i | −0.534657 | − | 0.0434690i | ||||
\(585\) | 12.8602 | + | 8.76053i | 0.531702 | + | 0.362203i | ||||
\(586\) | 33.3310 | − | 11.1205i | 1.37689 | − | 0.459382i | ||||
\(587\) | 12.4489 | + | 21.5622i | 0.513823 | + | 0.889967i | 0.999871 | + | 0.0160352i | \(0.00510440\pi\) |
−0.486049 | + | 0.873932i | \(0.661562\pi\) | |||||||
\(588\) | 7.40467 | − | 23.0905i | 0.305363 | − | 0.952236i | ||||
\(589\) | 1.32527 | − | 2.29544i | 0.0546068 | − | 0.0945818i | ||||
\(590\) | −7.81565 | + | 38.2464i | −0.321765 | + | 1.57458i | ||||
\(591\) | 27.4783 | + | 8.47004i | 1.13031 | + | 0.348411i | ||||
\(592\) | −0.529344 | + | 1.82232i | −0.0217559 | + | 0.0748968i | ||||
\(593\) | −22.9565 | − | 13.2540i | −0.942712 | − | 0.544275i | −0.0519027 | − | 0.998652i | \(-0.516529\pi\) |
−0.890809 | + | 0.454377i | \(0.849862\pi\) | |||||||
\(594\) | 30.1709 | + | 19.5515i | 1.23793 | + | 0.802208i | ||||
\(595\) | −16.8287 | − | 11.2551i | −0.689909 | − | 0.461415i | ||||
\(596\) | −15.4985 | + | 11.6371i | −0.634843 | + | 0.476676i | ||||
\(597\) | 4.80943 | + | 21.0525i | 0.196837 | + | 0.861622i | ||||
\(598\) | 4.16017 | − | 4.69406i | 0.170122 | − | 0.191955i | ||||
\(599\) | − | 24.6495i | − | 1.00715i | −0.863951 | − | 0.503576i | \(-0.832017\pi\) | ||
0.863951 | − | 0.503576i | \(-0.167983\pi\) | |||||||
\(600\) | 51.2633 | − | 7.40567i | 2.09281 | − | 0.302335i | ||||
\(601\) | 0.673377 | − | 0.388774i | 0.0274676 | − | 0.0158584i | −0.486203 | − | 0.873846i | \(-0.661619\pi\) |
0.513671 | + | 0.857987i | \(0.328285\pi\) | |||||||
\(602\) | 9.62747 | + | 2.63815i | 0.392386 | + | 0.107523i | ||||
\(603\) | 2.35580 | − | 3.45823i | 0.0959356 | − | 0.140830i | ||||
\(604\) | −12.9838 | + | 30.4420i | −0.528304 | + | 1.23867i | ||||
\(605\) | −44.2091 | − | 25.5241i | −1.79736 | − | 1.03770i | ||||
\(606\) | 1.74786 | − | 0.0402443i | 0.0710020 | − | 0.00163481i | ||||
\(607\) | −21.0843 | − | 36.5192i | −0.855787 | − | 1.48227i | −0.875913 | − | 0.482469i | \(-0.839740\pi\) |
0.0201256 | − | 0.999797i | \(-0.493593\pi\) | |||||||
\(608\) | −9.02497 | − | 14.3019i | −0.366011 | − | 0.580020i | ||||
\(609\) | −12.0343 | + | 1.92619i | −0.487655 | + | 0.0780532i | ||||
\(610\) | −12.9663 | − | 2.64967i | −0.524992 | − | 0.107282i | ||||
\(611\) | 2.80208 | + | 1.61778i | 0.113360 | + | 0.0654483i | ||||
\(612\) | −0.535485 | − | 11.6222i | −0.0216457 | − | 0.469801i | ||||
\(613\) | 4.18716 | + | 7.25237i | 0.169118 | + | 0.292921i | 0.938110 | − | 0.346338i | \(-0.112575\pi\) |
−0.768992 | + | 0.639258i | \(0.779241\pi\) | |||||||
\(614\) | −30.0986 | + | 33.9612i | −1.21468 | + | 1.37056i | ||||
\(615\) | −66.2977 | − | 20.4359i | −2.67338 | − | 0.824057i | ||||
\(616\) | −34.0461 | + | 13.4640i | −1.37175 | + | 0.542482i | ||||
\(617\) | −8.84616 | + | 15.3220i | −0.356133 | + | 0.616840i | −0.987311 | − | 0.158797i | \(-0.949238\pi\) |
0.631178 | + | 0.775638i | \(0.282572\pi\) | |||||||
\(618\) | −2.50285 | − | 1.36919i | −0.100679 | − | 0.0550769i | ||||
\(619\) | 14.1334 | − | 24.4797i | 0.568068 | − | 0.983922i | −0.428689 | − | 0.903452i | \(-0.641025\pi\) |
0.996757 | − | 0.0804700i | \(-0.0256421\pi\) | |||||||
\(620\) | −4.20156 | − | 5.59569i | −0.168739 | − | 0.224728i | ||||
\(621\) | 16.3253 | + | 6.39614i | 0.655111 | + | 0.256668i | ||||
\(622\) | −12.2395 | + | 13.8103i | −0.490760 | + | 0.553741i | ||||
\(623\) | 19.8213 | − | 29.6368i | 0.794122 | − | 1.18737i | ||||
\(624\) | −7.60858 | − | 5.00343i | −0.304587 | − | 0.200298i | ||||
\(625\) | −16.9592 | − | 29.3743i | −0.678369 | − | 1.17497i | ||||
\(626\) | 14.0989 | + | 12.4953i | 0.563504 | + | 0.499412i | ||||
\(627\) | −24.6970 | + | 5.64201i | −0.986303 | + | 0.225320i | ||||
\(628\) | −26.0076 | + | 3.14786i | −1.03782 | + | 0.125613i | ||||
\(629\) | − | 0.919927i | − | 0.0366799i | ||||||
\(630\) | −28.7167 | − | 33.7270i | −1.14410 | − | 1.34372i | ||||
\(631\) | − | 21.2515i | − | 0.846007i | −0.906128 | − | 0.423004i | \(-0.860976\pi\) | ||
0.906128 | − | 0.423004i | \(-0.139024\pi\) | |||||||
\(632\) | 16.1681 | − | 23.3950i | 0.643134 | − | 0.930604i | ||||
\(633\) | 26.4188 | + | 28.4615i | 1.05005 | + | 1.13124i | ||||
\(634\) | −18.4350 | + | 20.8008i | −0.732147 | + | 0.826107i | ||||
\(635\) | 11.8667 | + | 20.5537i | 0.470914 | + | 0.815647i | ||||
\(636\) | −41.3637 | + | 14.8671i | −1.64018 | + | 0.589519i | ||||
\(637\) | 7.29452 | + | 5.60734i | 0.289020 | + | 0.222171i | ||||
\(638\) | 13.7711 | + | 12.2049i | 0.545205 | + | 0.483195i | ||||
\(639\) | −3.64036 | + | 5.34392i | −0.144011 | + | 0.211402i | ||||
\(640\) | −44.0778 | + | 7.10311i | −1.74233 | + | 0.280775i | ||||
\(641\) | 17.2510 | − | 29.8796i | 0.681373 | − | 1.18017i | −0.293189 | − | 0.956055i | \(-0.594716\pi\) |
0.974562 | − | 0.224119i | \(-0.0719503\pi\) | |||||||
\(642\) | −29.8401 | + | 0.687065i | −1.17770 | + | 0.0271163i | ||||
\(643\) | −3.50574 | + | 6.07213i | −0.138253 | + | 0.239461i | −0.926835 | − | 0.375468i | \(-0.877482\pi\) |
0.788582 | + | 0.614929i | \(0.210815\pi\) | |||||||
\(644\) | −14.9532 | + | 9.75771i | −0.589239 | + | 0.384508i | ||||
\(645\) | 13.3650 | − | 12.4058i | 0.526246 | − | 0.488477i | ||||
\(646\) | 6.13541 | + | 5.43758i | 0.241394 | + | 0.213939i | ||||
\(647\) | 0.330066 | + | 0.571691i | 0.0129762 | + | 0.0224755i | 0.872441 | − | 0.488720i | \(-0.162536\pi\) |
−0.859464 | + | 0.511196i | \(0.829203\pi\) | |||||||
\(648\) | 5.80190 | − | 24.7858i | 0.227920 | − | 0.973680i | ||||
\(649\) | −29.6370 | − | 17.1109i | −1.16335 | − | 0.671662i | ||||
\(650\) | −3.93471 | + | 19.2548i | −0.154332 | + | 0.755235i | ||||
\(651\) | −1.44983 | + | 3.79545i | −0.0568234 | + | 0.148755i | ||||
\(652\) | −6.30285 | + | 14.7777i | −0.246839 | + | 0.578741i | ||||
\(653\) | −1.19024 | − | 2.06155i | −0.0465776 | − | 0.0806748i | 0.841797 | − | 0.539795i | \(-0.181498\pi\) |
−0.888374 | + | 0.459120i | \(0.848165\pi\) | |||||||
\(654\) | 20.4097 | + | 11.1652i | 0.798081 | + | 0.436593i | ||||
\(655\) | 6.83022 | + | 3.94343i | 0.266879 | + | 0.154083i | ||||
\(656\) | 38.9884 | + | 11.3253i | 1.52224 | + | 0.442179i | ||||
\(657\) | 13.7115 | + | 1.02214i | 0.534937 | + | 0.0398774i | ||||
\(658\) | −6.47598 | − | 6.54968i | −0.252460 | − | 0.255333i | ||||
\(659\) | 4.53599 | − | 2.61885i | 0.176697 | − | 0.102016i | −0.409043 | − | 0.912515i | \(-0.634137\pi\) |
0.585740 | + | 0.810499i | \(0.300804\pi\) | |||||||
\(660\) | −11.8784 | + | 65.8170i | −0.462365 | + | 2.56192i | ||||
\(661\) | 7.34107i | 0.285535i | 0.989756 | + | 0.142767i | \(0.0456001\pi\) | ||||
−0.989756 | + | 0.142767i | \(0.954400\pi\) | |||||||
\(662\) | −15.2474 | − | 13.5132i | −0.592606 | − | 0.525204i | ||||
\(663\) | 4.21863 | + | 1.30037i | 0.163838 | + | 0.0505022i | ||||
\(664\) | −0.594254 | + | 7.30915i | −0.0230615 | + | 0.283650i | ||||
\(665\) | 31.1453 | + | 2.05493i | 1.20776 | + | 0.0796867i | ||||
\(666\) | 0.548461 | − | 1.93659i | 0.0212524 | − | 0.0750412i | ||||
\(667\) | 7.77183 | + | 4.48707i | 0.300926 | + | 0.173740i | ||||
\(668\) | −17.7961 | − | 7.59023i | −0.688553 | − | 0.293675i | ||||
\(669\) | 3.46018 | + | 15.1464i | 0.133778 | + | 0.585592i | ||||
\(670\) | 7.62649 | + | 1.55847i | 0.294637 | + | 0.0602089i | ||||
\(671\) | 5.80096 | − | 10.0476i | 0.223943 | − | 0.387881i | ||||
\(672\) | 17.1251 | + | 19.4610i | 0.660614 | + | 0.750726i | ||||
\(673\) | 6.21172 | + | 10.7590i | 0.239444 | + | 0.414730i | 0.960555 | − | 0.278090i | \(-0.0897014\pi\) |
−0.721111 | + | 0.692820i | \(0.756368\pi\) | |||||||
\(674\) | 0.438520 | + | 1.31436i | 0.0168912 | + | 0.0506273i | ||||
\(675\) | −54.3189 | + | 8.21988i | −2.09074 | + | 0.316383i | ||||
\(676\) | −18.0284 | + | 13.5368i | −0.693401 | + | 0.520645i | ||||
\(677\) | 29.8294i | 1.14644i | 0.819403 | + | 0.573218i | \(0.194305\pi\) | ||||
−0.819403 | + | 0.573218i | \(0.805695\pi\) | |||||||
\(678\) | −0.704580 | − | 30.6008i | −0.0270592 | − | 1.17522i | ||||
\(679\) | −2.54346 | − | 5.16326i | −0.0976089 | − | 0.198148i | ||||
\(680\) | 19.5591 | − | 9.26722i | 0.750055 | − | 0.355382i | ||||
\(681\) | −9.89382 | + | 9.18373i | −0.379132 | + | 0.351921i | ||||
\(682\) | 5.81905 | − | 1.94145i | 0.222823 | − | 0.0743421i | ||||
\(683\) | −9.32990 | + | 5.38662i | −0.356999 | + | 0.206113i | −0.667763 | − | 0.744374i | \(-0.732748\pi\) |
0.310765 | + | 0.950487i | \(0.399415\pi\) | |||||||
\(684\) | 9.67409 | + | 15.1049i | 0.369898 | + | 0.577549i | ||||
\(685\) | − | 39.7054i | − | 1.51707i | ||||||
\(686\) | −15.8085 | − | 20.8828i | −0.603572 | − | 0.797309i | ||||
\(687\) | 11.4837 | − | 2.62344i | 0.438130 | − | 0.100091i | ||||
\(688\) | −7.70202 | + | 7.38663i | −0.293637 | + | 0.281613i | ||||
\(689\) | − | 16.6776i | − | 0.635365i | ||||||
\(690\) | 0.750806 | + | 32.6085i | 0.0285827 | + | 1.24138i | ||||
\(691\) | 47.3937 | 1.80294 | 0.901471 | − | 0.432840i | \(-0.142488\pi\) | ||||
0.901471 | + | 0.432840i | \(0.142488\pi\) | |||||||
\(692\) | 32.5383 | − | 3.93831i | 1.23692 | − | 0.149712i | ||||
\(693\) | 36.0146 | − | 14.5230i | 1.36808 | − | 0.551682i | ||||
\(694\) | 29.0348 | + | 25.7325i | 1.10215 | + | 0.976791i | ||||
\(695\) | − | 63.2982i | − | 2.40104i | ||||||
\(696\) | 4.83426 | − | 12.0989i | 0.183242 | − | 0.458609i | ||||
\(697\) | −19.6818 | −0.745502 | ||||||||
\(698\) | 4.26180 | − | 20.8554i | 0.161312 | − | 0.789390i | ||||
\(699\) | −21.4715 | + | 19.9305i | −0.812128 | + | 0.753840i | ||||
\(700\) | 25.2886 | − | 49.9037i | 0.955821 | − | 1.88618i | ||||
\(701\) | −39.5982 | −1.49560 | −0.747801 | − | 0.663923i | \(-0.768890\pi\) | ||||
−0.747801 | + | 0.663923i | \(0.768890\pi\) | |||||||
\(702\) | 8.10557 | + | 5.25262i | 0.305925 | + | 0.198247i | ||||
\(703\) | 0.709135 | + | 1.22826i | 0.0267455 | + | 0.0463246i | ||||
\(704\) | 6.32251 | − | 38.6255i | 0.238288 | − | 1.45575i | ||||
\(705\) | −16.4030 | + | 3.74726i | −0.617773 | + | 0.141130i | ||||
\(706\) | 24.8274 | − | 8.28336i | 0.934392 | − | 0.311749i | ||||
\(707\) | 1.04982 | − | 1.56970i | 0.0394826 | − | 0.0590345i | ||||
\(708\) | −4.30355 | + | 23.8456i | −0.161737 | + | 0.896173i | ||||
\(709\) | 27.4992 | 1.03276 | 0.516378 | − | 0.856361i | \(-0.327280\pi\) | ||||
0.516378 | + | 0.856361i | \(0.327280\pi\) | |||||||
\(710\) | −11.7850 | − | 2.40827i | −0.442285 | − | 0.0903807i | ||||
\(711\) | −16.9819 | + | 24.9288i | −0.636870 | + | 0.934902i | ||||
\(712\) | 16.3204 | + | 34.4452i | 0.611632 | + | 1.29089i | ||||
\(713\) | 2.59089 | − | 1.49585i | 0.0970295 | − | 0.0560200i | ||||
\(714\) | −10.6039 | − | 6.74395i | −0.396841 | − | 0.252386i | ||||
\(715\) | −21.9766 | − | 12.6882i | −0.821877 | − | 0.474511i | ||||
\(716\) | 22.2658 | + | 29.6539i | 0.832112 | + | 1.10822i | ||||
\(717\) | −22.9259 | − | 24.6986i | −0.856184 | − | 0.922385i | ||||
\(718\) | 7.82045 | − | 2.60920i | 0.291857 | − | 0.0973744i | ||||
\(719\) | −26.4956 | + | 45.8917i | −0.988118 | + | 1.71147i | −0.360954 | + | 0.932584i | \(0.617549\pi\) |
−0.627164 | + | 0.778887i | \(0.715784\pi\) | |||||||
\(720\) | 46.6999 | − | 7.84779i | 1.74040 | − | 0.292470i | ||||
\(721\) | −2.76427 | + | 1.36170i | −0.102947 | + | 0.0507123i | ||||
\(722\) | 13.9426 | + | 2.84916i | 0.518889 | + | 0.106035i | ||||
\(723\) | 27.7587 | + | 29.9050i | 1.03236 | + | 1.11218i | ||||
\(724\) | 45.6757 | − | 5.52840i | 1.69752 | − | 0.205461i | ||||
\(725\) | −28.1184 | −1.04429 | ||||||||
\(726\) | −27.7988 | − | 15.2074i | −1.03171 | − | 0.564400i | ||||
\(727\) | 15.2977 | + | 26.4963i | 0.567359 | + | 0.982694i | 0.996826 | + | 0.0796118i | \(0.0253681\pi\) |
−0.429467 | + | 0.903082i | \(0.641299\pi\) | |||||||
\(728\) | −9.14666 | + | 3.61719i | −0.338998 | + | 0.134062i | ||||
\(729\) | −5.97715 | + | 26.3301i | −0.221376 | + | 0.975189i | ||||
\(730\) | 8.09507 | + | 24.2631i | 0.299612 | + | 0.898016i | ||||
\(731\) | 2.58666 | − | 4.48023i | 0.0956711 | − | 0.165707i | ||||
\(732\) | −8.08415 | − | 1.45899i | −0.298799 | − | 0.0539259i | ||||
\(733\) | −0.610768 | + | 0.352627i | −0.0225592 | + | 0.0130246i | −0.511237 | − | 0.859440i | \(-0.670813\pi\) |
0.488678 | + | 0.872464i | \(0.337479\pi\) | |||||||
\(734\) | 0.809212 | + | 2.42542i | 0.0298686 | + | 0.0895240i | ||||
\(735\) | −47.6394 | + | 4.43505i | −1.75721 | + | 0.163589i | ||||
\(736\) | −0.750461 | − | 19.0733i | −0.0276624 | − | 0.703053i | ||||
\(737\) | −3.41198 | + | 5.90973i | −0.125682 | + | 0.217688i | ||||
\(738\) | −41.4332 | − | 11.7343i | −1.52518 | − | 0.431946i | ||||
\(739\) | 29.5374 | − | 17.0534i | 1.08655 | − | 0.627321i | 0.153896 | − | 0.988087i | \(-0.450818\pi\) |
0.932656 | + | 0.360766i | \(0.117485\pi\) | |||||||
\(740\) | 3.71713 | − | 0.449907i | 0.136645 | − | 0.0165389i | ||||
\(741\) | −6.63498 | + | 1.51576i | −0.243742 | + | 0.0556828i | ||||
\(742\) | −12.5470 | + | 45.7882i | −0.460616 | + | 1.68094i | ||||
\(743\) | −32.7970 | − | 18.9353i | −1.20320 | − | 0.694670i | −0.241938 | − | 0.970292i | \(-0.577783\pi\) |
−0.961266 | + | 0.275621i | \(0.911116\pi\) | |||||||
\(744\) | −2.68724 | − | 3.41239i | −0.0985190 | − | 0.125104i | ||||
\(745\) | 33.1178 | + | 19.1205i | 1.21334 | + | 0.700523i | ||||
\(746\) | 8.25686 | + | 1.68729i | 0.302305 | + | 0.0617759i | ||||
\(747\) | 0.578223 | − | 7.75659i | 0.0211561 | − | 0.283799i | ||||
\(748\) | 2.27987 | + | 18.8363i | 0.0833605 | + | 0.688725i | ||||
\(749\) | −17.9229 | + | 26.7984i | −0.654890 | + | 0.979194i | ||||
\(750\) | −28.0002 | − | 46.0179i | −1.02242 | − | 1.68034i | ||||
\(751\) | 15.6928 | − | 9.06026i | 0.572639 | − | 0.330613i | −0.185563 | − | 0.982632i | \(-0.559411\pi\) |
0.758203 | + | 0.652019i | \(0.226078\pi\) | |||||||
\(752\) | 9.56230 | − | 2.34918i | 0.348701 | − | 0.0856657i | ||||
\(753\) | −7.50120 | − | 2.31221i | −0.273359 | − | 0.0842615i | ||||
\(754\) | 3.69970 | + | 3.27890i | 0.134735 | + | 0.119411i | ||||
\(755\) | 65.3007 | 2.37654 | ||||||||
\(756\) | −18.3021 | − | 20.5191i | −0.665641 | − | 0.746272i | ||||
\(757\) | −30.0755 | −1.09311 | −0.546555 | − | 0.837423i | \(-0.684061\pi\) | ||||
−0.546555 | + | 0.837423i | \(0.684061\pi\) | |||||||
\(758\) | 17.4961 | + | 15.5061i | 0.635488 | + | 0.563209i | ||||
\(759\) | −27.3252 | − | 8.42286i | −0.991843 | − | 0.305731i | ||||
\(760\) | −18.9709 | + | 27.4506i | −0.688147 | + | 0.995738i | ||||
\(761\) | 19.2695 | − | 11.1252i | 0.698518 | − | 0.403290i | −0.108277 | − | 0.994121i | \(-0.534533\pi\) |
0.806795 | + | 0.590831i | \(0.201200\pi\) | |||||||
\(762\) | 7.65756 | + | 12.5851i | 0.277404 | + | 0.455909i | ||||
\(763\) | 22.5415 | − | 11.1041i | 0.816056 | − | 0.401995i | ||||
\(764\) | −7.83108 | + | 0.947842i | −0.283318 | + | 0.0342917i | ||||
\(765\) | −20.6790 | + | 9.96847i | −0.747652 | + | 0.360411i | ||||
\(766\) | −4.56965 | − | 0.933806i | −0.165108 | − | 0.0337398i | ||||
\(767\) | −7.96214 | − | 4.59694i | −0.287496 | − | 0.165986i | ||||
\(768\) | −27.2511 | + | 5.03764i | −0.983339 | + | 0.181780i | ||||
\(769\) | 9.46235 | + | 5.46309i | 0.341221 | + | 0.197004i | 0.660812 | − | 0.750552i | \(-0.270212\pi\) |
−0.319591 | + | 0.947556i | \(0.603545\pi\) | |||||||
\(770\) | 50.7908 | + | 51.3689i | 1.83037 | + | 1.85121i | ||||
\(771\) | −40.3295 | + | 9.21324i | −1.45243 | + | 0.331807i | ||||
\(772\) | −1.38183 | − | 11.4167i | −0.0497332 | − | 0.410896i | ||||
\(773\) | −10.6286 | + | 6.13643i | −0.382284 | + | 0.220712i | −0.678812 | − | 0.734312i | \(-0.737505\pi\) |
0.296527 | + | 0.955024i | \(0.404171\pi\) | |||||||
\(774\) | 8.11642 | − | 7.88939i | 0.291739 | − | 0.283578i | ||||
\(775\) | −4.68690 | + | 8.11795i | −0.168359 | + | 0.291605i | ||||
\(776\) | 6.13290 | + | 0.498621i | 0.220158 | + | 0.0178995i | ||||
\(777\) | −1.37091 | − | 1.68730i | −0.0491812 | − | 0.0605314i | ||||
\(778\) | 4.31863 | + | 12.9441i | 0.154830 | + | 0.464067i | ||||
\(779\) | 26.2786 | − | 15.1719i | 0.941527 | − | 0.543591i | ||||
\(780\) | −3.19119 | + | 17.6821i | −0.114263 | + | 0.633121i | ||||
\(781\) | 5.27246 | − | 9.13217i | 0.188663 | − | 0.326775i | ||||
\(782\) | 2.92859 | + | 8.77775i | 0.104726 | + | 0.313892i | ||||
\(783\) | −5.04121 | + | 12.8670i | −0.180158 | + | 0.459829i | ||||
\(784\) | 27.8334 | − | 3.04968i | 0.994051 | − | 0.108917i | ||||
\(785\) | 25.8452 | + | 44.7653i | 0.922456 | + | 1.59774i | ||||
\(786\) | 4.29485 | + | 2.34951i | 0.153192 | + | 0.0838044i | ||||
\(787\) | −2.27050 | −0.0809345 | −0.0404672 | − | 0.999181i | \(-0.512885\pi\) | ||||
−0.0404672 | + | 0.999181i | \(0.512885\pi\) | |||||||
\(788\) | 3.98956 | + | 32.9618i | 0.142122 | + | 1.17422i | ||||
\(789\) | −32.0527 | − | 34.5311i | −1.14111 | − | 1.22934i | ||||
\(790\) | −54.9758 | − | 11.2343i | −1.95595 | − | 0.399698i | ||||
\(791\) | −27.4816 | − | 18.3798i | −0.977133 | − | 0.653512i | ||||
\(792\) | −6.43074 | + | 41.0126i | −0.228507 | + | 1.45732i | ||||
\(793\) | 1.55846 | − | 2.69933i | 0.0553425 | − | 0.0958560i | ||||
\(794\) | −4.99080 | + | 1.66512i | −0.177117 | + | 0.0590928i | ||||
\(795\) | 59.0018 | + | 63.5638i | 2.09258 | + | 2.25438i | ||||
\(796\) | −19.9403 | + | 14.9723i | −0.706765 | + | 0.530679i | ||||
\(797\) | 4.92030 | + | 2.84074i | 0.174286 | + | 0.100624i | 0.584605 | − | 0.811318i | \(-0.301249\pi\) |
−0.410319 | + | 0.911942i | \(0.634583\pi\) | |||||||
\(798\) | 19.3567 | + | 0.830182i | 0.685218 | + | 0.0293881i | ||||
\(799\) | −4.13388 | + | 2.38669i | −0.146246 | + | 0.0844352i | ||||
\(800\) | 31.9174 | + | 50.5797i | 1.12845 | + | 1.78826i | ||||
\(801\) | −17.5553 | − | 36.4175i | −0.620287 | − | 1.28675i | ||||
\(802\) | 33.2152 | + | 6.78750i | 1.17287 | + | 0.239675i | ||||
\(803\) | −22.4229 | −0.791289 | ||||||||
\(804\) | 4.75490 | + | 0.858144i | 0.167693 | + | 0.0302644i | ||||
\(805\) | 29.2846 | + | 19.5857i | 1.03215 | + | 0.690306i | ||||
\(806\) | 1.56332 | − | 0.521583i | 0.0550656 | − | 0.0183720i | ||||
\(807\) | −30.9305 | + | 7.06606i | −1.08881 | + | 0.248737i | ||||
\(808\) | 0.864399 | + | 1.82437i | 0.0304095 | + | 0.0641811i | ||||
\(809\) | −8.28527 | − | 14.3505i | −0.291295 | − | 0.504537i | 0.682821 | − | 0.730585i | \(-0.260753\pi\) |
−0.974116 | + | 0.226048i | \(0.927419\pi\) | |||||||
\(810\) | −49.4757 | + | 8.65630i | −1.73840 | + | 0.304152i | ||||
\(811\) | −10.2931 | −0.361438 | −0.180719 | − | 0.983535i | \(-0.557842\pi\) | ||||
−0.180719 | + | 0.983535i | \(0.557842\pi\) | |||||||
\(812\) | −7.69068 | − | 11.7856i | −0.269890 | − | 0.413593i | ||||
\(813\) | 1.96132 | − | 1.82055i | 0.0687864 | − | 0.0638495i | ||||
\(814\) | −0.657181 | + | 3.21597i | −0.0230342 | + | 0.112720i | ||||
\(815\) | 31.6995 | 1.11038 | ||||||||
\(816\) | 12.0050 | − | 6.03026i | 0.420259 | − | 0.211101i | ||||
\(817\) | 7.97581i | 0.279038i | ||||||||
\(818\) | 23.4483 | + | 20.7814i | 0.819851 | + | 0.726603i | ||||
\(819\) | 9.67552 | − | 3.90168i | 0.338090 | − | 0.136336i | ||||
\(820\) | −9.62575 | − | 79.5280i | −0.336146 | − | 2.77724i | ||||
\(821\) | −0.101592 | −0.00354560 | −0.00177280 | − | 0.999998i | \(-0.500564\pi\) | ||||
−0.00177280 | + | 0.999998i | \(0.500564\pi\) | |||||||
\(822\) | −0.567317 | − | 24.6393i | −0.0197875 | − | 0.859395i | ||||
\(823\) | 55.1859i | 1.92366i | 0.273650 | + | 0.961829i | \(0.411769\pi\) | ||||
−0.273650 | + | 0.961829i | \(0.588231\pi\) | |||||||
\(824\) | 0.266948 | − | 3.28339i | 0.00929959 | − | 0.114382i | ||||
\(825\) | 87.3424 | − | 19.9533i | 3.04087 | − | 0.694685i | ||||
\(826\) | 18.4016 | + | 18.6110i | 0.640273 | + | 0.647560i | ||||
\(827\) | − | 37.1634i | − | 1.29230i | −0.763211 | − | 0.646149i | \(-0.776378\pi\) | ||
0.763211 | − | 0.646149i | \(-0.223622\pi\) | |||||||
\(828\) | 0.931829 | + | 20.2245i | 0.0323833 | + | 0.702851i | ||||
\(829\) | 33.4823 | − | 19.3310i | 1.16289 | − | 0.671393i | 0.210893 | − | 0.977509i | \(-0.432363\pi\) |
0.951994 | + | 0.306116i | \(0.0990295\pi\) | |||||||
\(830\) | 13.7256 | − | 4.57938i | 0.476422 | − | 0.158952i | ||||
\(831\) | 0.617071 | − | 0.572783i | 0.0214060 | − | 0.0198696i | ||||
\(832\) | 1.69858 | − | 10.3770i | 0.0588876 | − | 0.359756i | ||||
\(833\) | −12.5449 | + | 5.18354i | −0.434656 | + | 0.179599i | ||||
\(834\) | −0.904414 | − | 39.2799i | −0.0313173 | − | 1.36015i | ||||
\(835\) | 38.1742i | 1.32107i | ||||||||
\(836\) | −17.5642 | − | 23.3922i | −0.607471 | − | 0.809037i | ||||
\(837\) | 2.87449 | + | 3.60016i | 0.0993569 | + | 0.124440i | ||||
\(838\) | −15.8296 | − | 47.4454i | −0.546824 | − | 1.63898i | ||||
\(839\) | 2.58403 | + | 4.47567i | 0.0892106 | + | 0.154517i | 0.907178 | − | 0.420748i | \(-0.138232\pi\) |
−0.817967 | + | 0.575265i | \(0.804899\pi\) | |||||||
\(840\) | 22.0641 | − | 46.1453i | 0.761285 | − | 1.59216i | ||||
\(841\) | 10.9635 | − | 18.9893i | 0.378050 | − | 0.654802i | ||||
\(842\) | −42.9131 | − | 8.76928i | −1.47888 | − | 0.302209i | ||||
\(843\) | 10.1584 | + | 44.4669i | 0.349875 | + | 1.53152i | ||||
\(844\) | −17.5917 | + | 41.2458i | −0.605532 | + | 1.41974i | ||||
\(845\) | 38.5238 | + | 22.2417i | 1.32526 | + | 0.765138i | ||||
\(846\) | −10.1254 | + | 2.55974i | −0.348118 | + | 0.0880056i | ||||
\(847\) | −30.7024 | + | 15.1242i | −1.05495 | + | 0.519673i | ||||
\(848\) | −35.1308 | − | 36.6308i | −1.20640 | − | 1.25791i | ||||
\(849\) | −28.4313 | − | 8.76381i | −0.975761 | − | 0.300773i | ||||
\(850\) | −21.6983 | − | 19.2303i | −0.744244 | − | 0.659595i | ||||
\(851\) | 1.60082i | 0.0548754i | ||||||||
\(852\) | −7.34765 | − | 1.32607i | −0.251726 | − | 0.0454304i | ||||
\(853\) | −30.1332 | + | 17.3974i | −1.03174 | + | 0.595675i | −0.917483 | − | 0.397776i | \(-0.869782\pi\) |
−0.114257 | + | 0.993451i | \(0.536449\pi\) | |||||||
\(854\) | −6.30952 | + | 6.23852i | −0.215907 | + | 0.213478i | ||||
\(855\) | 19.9257 | − | 29.2502i | 0.681445 | − | 1.00034i | ||||
\(856\) | −14.7573 | − | 31.1463i | −0.504396 | − | 1.06456i | ||||
\(857\) | 37.1025 | + | 21.4212i | 1.26740 | + | 0.731733i | 0.974495 | − | 0.224409i | \(-0.0720452\pi\) |
0.292903 | + | 0.956142i | \(0.405379\pi\) | |||||||
\(858\) | −13.8189 | − | 7.55967i | −0.471769 | − | 0.258083i | ||||
\(859\) | 15.9716 | + | 27.6637i | 0.544945 | + | 0.943873i | 0.998610 | + | 0.0527008i | \(0.0167830\pi\) |
−0.453665 | + | 0.891172i | \(0.649884\pi\) | |||||||
\(860\) | 19.3682 | + | 8.26074i | 0.660451 | + | 0.281689i | ||||
\(861\) | −36.0997 | + | 29.3306i | −1.23027 | + | 0.999586i | ||||
\(862\) | −1.38084 | + | 6.75722i | −0.0470315 | + | 0.230152i | ||||
\(863\) | −30.0490 | − | 17.3488i | −1.02288 | − | 0.590560i | −0.107943 | − | 0.994157i | \(-0.534426\pi\) |
−0.914937 | + | 0.403597i | \(0.867760\pi\) | |||||||
\(864\) | 28.8676 | − | 5.53722i | 0.982096 | − | 0.188380i | ||||
\(865\) | −32.3352 | − | 56.0061i | −1.09943 | − | 1.90427i | ||||
\(866\) | 13.8376 | + | 12.2637i | 0.470221 | + | 0.416739i | ||||
\(867\) | 16.8074 | − | 15.6011i | 0.570811 | − | 0.529843i | ||||
\(868\) | −4.68449 | + | 0.255872i | −0.159002 | + | 0.00868485i | ||||
\(869\) | 24.5954 | − | 42.6005i | 0.834342 | − | 1.44512i | ||||
\(870\) | −25.7008 | + | 0.591759i | −0.871340 | + | 0.0200625i | ||||
\(871\) | −0.916648 | + | 1.58768i | −0.0310594 | + | 0.0537965i | ||||
\(872\) | −2.17685 | + | 26.7747i | −0.0737175 | + | 0.906704i | ||||
\(873\) | −6.50833 | − | 0.485170i | −0.220273 | − | 0.0164205i | ||||
\(874\) | −10.6766 | − | 9.46225i | −0.361141 | − | 0.320065i | ||||
\(875\) | −58.0568 | − | 3.83052i | −1.96268 | − | 0.129495i | ||||
\(876\) | 5.37009 | + | 14.9408i | 0.181439 | + | 0.504804i | ||||
\(877\) | 11.1213 | + | 19.2627i | 0.375540 | + | 0.650455i | 0.990408 | − | 0.138175i | \(-0.0441238\pi\) |
−0.614867 | + | 0.788631i | \(0.710790\pi\) | |||||||
\(878\) | −1.79846 | + | 2.02926i | −0.0606950 | + | 0.0684842i | ||||
\(879\) | −29.2767 | − | 31.5404i | −0.987480 | − | 1.06383i | ||||
\(880\) | −74.9967 | + | 18.4245i | −2.52814 | + | 0.621090i | ||||
\(881\) | − | 20.4228i | − | 0.688061i | −0.938958 | − | 0.344031i | \(-0.888208\pi\) | ||
0.938958 | − | 0.344031i | \(-0.111792\pi\) | |||||||
\(882\) | −29.4994 | + | 3.43286i | −0.993297 | + | 0.115590i | ||||
\(883\) | − | 11.6027i | − | 0.390461i | −0.980757 | − | 0.195231i | \(-0.937454\pi\) | ||
0.980757 | − | 0.195231i | \(-0.0625456\pi\) | |||||||
\(884\) | 0.612501 | + | 5.06049i | 0.0206006 | + | 0.170203i | ||||
\(885\) | 46.6094 | − | 10.6479i | 1.56676 | − | 0.357925i | ||||
\(886\) | −22.5333 | − | 19.9704i | −0.757021 | − | 0.670919i | ||||
\(887\) | −26.5399 | − | 45.9684i | −0.891123 | − | 1.54347i | −0.838531 | − | 0.544853i | \(-0.816585\pi\) |
−0.0525911 | − | 0.998616i | \(-0.516748\pi\) | |||||||
\(888\) | 2.30025 | − | 0.332302i | 0.0771913 | − | 0.0111513i | ||||
\(889\) | 15.8775 | + | 1.04758i | 0.532514 | + | 0.0351346i | ||||
\(890\) | 49.8822 | − | 56.2838i | 1.67206 | − | 1.88664i | ||||
\(891\) | 6.52854 | − | 43.5453i | 0.218714 | − | 1.45882i | ||||
\(892\) | −14.3462 | + | 10.7719i | −0.480345 | + | 0.360670i | ||||
\(893\) | 3.67962 | − | 6.37328i | 0.123134 | − | 0.213274i | ||||
\(894\) | 20.8245 | + | 11.3921i | 0.696476 | + | 0.381009i | ||||
\(895\) | 36.5841 | − | 63.3655i | 1.22287 | − | 2.11808i | ||||
\(896\) | −12.4703 | + | 27.2120i | −0.416604 | + | 0.909088i | ||||
\(897\) | −7.34108 | − | 2.26285i | −0.245111 | − | 0.0755543i | ||||
\(898\) | 5.62770 | − | 6.34993i | 0.187799 | − | 0.211900i | ||||
\(899\) | 1.17898 | + | 2.04205i | 0.0393210 | + | 0.0681060i | ||||
\(900\) | −34.2130 | − | 53.4193i | −1.14043 | − | 1.78064i | ||||
\(901\) | 21.3079 | + | 12.3021i | 0.709870 | + | 0.409844i | ||||
\(902\) | 68.8055 | + | 14.0604i | 2.29097 | + | 0.468159i | ||||
\(903\) | −1.93226 | − | 12.0722i | −0.0643014 | − | 0.401738i | ||||
\(904\) | 31.9403 | − | 15.1335i | 1.06232 | − | 0.503334i | ||||
\(905\) | −45.3905 | − | 78.6187i | −1.50883 | − | 2.61337i | ||||
\(906\) | 40.5225 | − | 0.933026i | 1.34627 | − | 0.0309977i | ||||
\(907\) | −47.3583 | − | 27.3424i | −1.57251 | − | 0.907888i | −0.995860 | − | 0.0908948i | \(-0.971027\pi\) |
−0.576647 | − | 0.816993i | \(-0.695639\pi\) | |||||||
\(908\) | −14.3379 | − | 6.11525i | −0.475819 | − | 0.202942i | ||||
\(909\) | −0.929808 | − | 1.92884i | −0.0308398 | − | 0.0639754i | ||||
\(910\) | 13.6452 | + | 13.8005i | 0.452335 | + | 0.457483i | ||||
\(911\) | 1.27865 | − | 0.738229i | 0.0423636 | − | 0.0244586i | −0.478669 | − | 0.877996i | \(-0.658880\pi\) |
0.521032 | + | 0.853537i | \(0.325547\pi\) | |||||||
\(912\) | −11.3802 | + | 17.3056i | −0.376837 | + | 0.573046i | ||||
\(913\) | 12.6846i | 0.419800i | ||||||||
\(914\) | −23.7643 | + | 26.8141i | −0.786053 | + | 0.886930i | ||||
\(915\) | 3.60985 | + | 15.8015i | 0.119338 | + | 0.522383i | ||||
\(916\) | 8.16706 | + | 10.8770i | 0.269847 | + | 0.359386i | ||||
\(917\) | 4.74345 | − | 2.33666i | 0.156643 | − | 0.0771632i | ||||
\(918\) | −12.6900 | + | 6.48142i | −0.418832 | + | 0.213919i | ||||
\(919\) | −16.9505 | − | 9.78639i | −0.559146 | − | 0.322823i | 0.193657 | − | 0.981069i | \(-0.437965\pi\) |
−0.752803 | + | 0.658246i | \(0.771299\pi\) | |||||||
\(920\) | −34.0358 | + | 16.1264i | −1.12213 | + | 0.531672i | ||||
\(921\) | 53.1122 | + | 16.3716i | 1.75011 | + | 0.539461i | ||||
\(922\) | −5.67881 | + | 27.7897i | −0.187022 | + | 0.915205i | ||||
\(923\) | 1.41648 | − | 2.45341i | 0.0466239 | − | 0.0807549i | ||||
\(924\) | 32.2523 | + | 31.1514i | 1.06102 | + | 1.02481i | ||||
\(925\) | −2.50790 | − | 4.34381i | −0.0824592 | − | 0.142824i | ||||
\(926\) | 51.5648 | − | 17.2040i | 1.69453 | − | 0.565358i | ||||
\(927\) | −0.259747 | + | 3.48438i | −0.00853121 | + | 0.114442i | ||||
\(928\) | 15.0329 | − | 0.591487i | 0.493480 | − | 0.0194165i | ||||
\(929\) | − | 14.4455i | − | 0.473942i | −0.971517 | − | 0.236971i | \(-0.923845\pi\) | ||
0.971517 | − | 0.236971i | \(-0.0761546\pi\) | |||||||
\(930\) | −4.11309 | + | 7.51862i | −0.134873 | + | 0.246545i | ||||
\(931\) | 12.7538 | − | 16.5913i | 0.417989 | − | 0.543758i | ||||
\(932\) | −31.1160 | − | 13.2713i | −1.01924 | − | 0.434715i | ||||
\(933\) | 21.5980 | + | 6.65746i | 0.707085 | + | 0.217955i | ||||
\(934\) | −14.6444 | − | 43.8932i | −0.479180 | − | 1.43623i | ||||
\(935\) | 32.4218 | − | 18.7187i | 1.06031 | − | 0.612168i | ||||
\(936\) | −1.72766 | + | 11.0183i | −0.0564702 | + | 0.360143i | ||||
\(937\) | 31.4809i | 1.02844i | 0.857659 | + | 0.514218i | \(0.171918\pi\) | ||||
−0.857659 | + | 0.514218i | \(0.828082\pi\) | |||||||
\(938\) | 3.71111 | − | 3.66935i | 0.121172 | − | 0.119808i | ||||
\(939\) | 6.79658 | − | 22.0493i | 0.221798 | − | 0.719552i | ||||
\(940\) | −11.6656 | − | 15.5364i | −0.380491 | − | 0.506742i | ||||
\(941\) | 40.3346i | 1.31487i | 0.753511 | + | 0.657435i | \(0.228359\pi\) | ||||
−0.753511 | + | 0.657435i | \(0.771641\pi\) | |||||||
\(942\) | 16.6779 | + | 27.4099i | 0.543397 | + | 0.893063i | ||||
\(943\) | 34.2495 | 1.11532 | ||||||||
\(944\) | −27.1714 | + | 6.67523i | −0.884354 | + | 0.217260i | ||||
\(945\) | −23.0733 | + | 49.1005i | −0.750575 | + | 1.59724i | ||||
\(946\) | −12.2433 | + | 13.8145i | −0.398064 | + | 0.449149i | ||||
\(947\) | 14.8597i | 0.482876i | 0.970416 | + | 0.241438i | \(0.0776190\pi\) | ||||
−0.970416 | + | 0.241438i | \(0.922381\pi\) | |||||||
\(948\) | −34.2759 | − | 6.18596i | −1.11323 | − | 0.200911i | ||||
\(949\) | −6.02405 | −0.195549 | ||||||||
\(950\) | 43.7947 | + | 8.94944i | 1.42089 | + | 0.290358i | ||||
\(951\) | 32.5306 | + | 10.0274i | 1.05488 | + | 0.325160i | ||||
\(952\) | 2.12553 | − | 14.3543i | 0.0688888 | − | 0.465227i | ||||
\(953\) | −11.8041 | −0.382371 | −0.191185 | − | 0.981554i | \(-0.561233\pi\) | ||||
−0.191185 | + | 0.981554i | \(0.561233\pi\) | |||||||
\(954\) | 37.5219 | + | 38.6017i | 1.21482 | + | 1.24978i | ||||
\(955\) | 7.78219 | + | 13.4791i | 0.251826 | + | 0.436175i | ||||
\(956\) | 15.2659 | − | 35.7926i | 0.493734 | − | 1.15761i | ||||
\(957\) | 6.63860 | − | 21.5368i | 0.214596 | − | 0.696186i | ||||
\(958\) | 16.4694 | + | 49.3633i | 0.532104 | + | 1.59486i | ||||
\(959\) | −22.1278 | − | 14.7992i | −0.714543 | − | 0.477890i | ||||
\(960\) | 30.2376 | + | 45.5592i | 0.975915 | + | 1.47042i | ||||
\(961\) | −30.2139 | −0.974643 | ||||||||
\(962\) | −0.176555 | + | 0.863987i | −0.00569237 | + | 0.0278561i | ||||
\(963\) | 15.8740 | + | 32.9298i | 0.511534 | + | 1.06115i | ||||
\(964\) | −18.4839 | + | 43.3377i | −0.595327 | + | 1.39581i | ||||
\(965\) | −19.6508 | + | 11.3454i | −0.632583 | + | 0.365222i | ||||
\(966\) | 18.4525 | + | 11.7355i | 0.593699 | + | 0.377585i | ||||
\(967\) | −2.41663 | − | 1.39524i | −0.0777137 | − | 0.0448680i | 0.460640 | − | 0.887587i | \(-0.347620\pi\) |
−0.538353 | + | 0.842719i | \(0.680953\pi\) | |||||||
\(968\) | 2.96496 | − | 36.4681i | 0.0952974 | − | 1.17213i | ||||
\(969\) | 2.95767 | − | 9.59521i | 0.0950142 | − | 0.308242i | ||||
\(970\) | −3.84242 | − | 11.5168i | −0.123373 | − | 0.369781i | ||||
\(971\) | −26.2483 | + | 45.4633i | −0.842347 | + | 1.45899i | 0.0455582 | + | 0.998962i | \(0.485493\pi\) |
−0.887905 | + | 0.460026i | \(0.847840\pi\) | |||||||
\(972\) | −30.5786 | + | 6.07861i | −0.980809 | + | 0.194971i | ||||
\(973\) | −35.2760 | − | 23.5928i | −1.13090 | − | 0.756350i | ||||
\(974\) | 1.28514 | − | 6.28893i | 0.0411786 | − | 0.201510i | ||||
\(975\) | 23.4650 | − | 5.36057i | 0.751482 | − | 0.171676i | ||||
\(976\) | −2.26304 | − | 9.21167i | −0.0724382 | − | 0.294858i | ||||
\(977\) | −10.2879 | −0.329140 | −0.164570 | − | 0.986365i | \(-0.552624\pi\) | ||||
−0.164570 | + | 0.986365i | \(0.552624\pi\) | |||||||
\(978\) | 19.6712 | − | 0.452927i | 0.629015 | − | 0.0144830i | ||||
\(979\) | 32.9653 | + | 57.0976i | 1.05358 | + | 1.82485i | ||||
\(980\) | −27.0804 | − | 48.1550i | −0.865051 | − | 1.53825i | ||||
\(981\) | 2.11813 | − | 28.4137i | 0.0676266 | − | 0.907179i | ||||
\(982\) | 16.5222 | − | 5.51244i | 0.527246 | − | 0.175909i | ||||
\(983\) | −16.4524 | + | 28.4963i | −0.524749 | + | 0.908891i | 0.474836 | + | 0.880074i | \(0.342507\pi\) |
−0.999585 | + | 0.0288169i | \(0.990826\pi\) | |||||||
\(984\) | −7.10959 | − | 49.2138i | −0.226646 | − | 1.56888i | ||||
\(985\) | 56.7351 | − | 32.7560i | 1.80773 | − | 1.04369i | ||||
\(986\) | −6.91832 | + | 2.30821i | −0.220324 | + | 0.0735084i | ||||
\(987\) | −4.02546 | + | 10.5381i | −0.128132 | + | 0.335430i | ||||
\(988\) | −4.71872 | − | 6.28445i | −0.150123 | − | 0.199935i | ||||
\(989\) | −4.50120 | + | 7.79630i | −0.143130 | + | 0.247908i | ||||
\(990\) | 79.4130 | − | 20.0759i | 2.52391 | − | 0.638054i | ||||
\(991\) | −48.3716 | + | 27.9273i | −1.53657 | + | 0.887141i | −0.537537 | + | 0.843240i | \(0.680645\pi\) |
−0.999036 | + | 0.0439007i | \(0.986021\pi\) | |||||||
\(992\) | 2.33499 | − | 4.43869i | 0.0741361 | − | 0.140929i | ||||
\(993\) | −7.35024 | + | 23.8455i | −0.233253 | + | 0.756713i | ||||
\(994\) | −5.73469 | + | 5.67016i | −0.181893 | + | 0.179847i | ||||
\(995\) | 42.6092 | + | 24.6004i | 1.35080 | + | 0.779885i | ||||
\(996\) | 8.45202 | − | 3.03786i | 0.267813 | − | 0.0962582i | ||||
\(997\) | 0.219422 | + | 0.126684i | 0.00694917 | + | 0.00401211i | 0.503471 | − | 0.864012i | \(-0.332056\pi\) |
−0.496521 | + | 0.868024i | \(0.665390\pi\) | |||||||
\(998\) | 3.66715 | − | 17.9455i | 0.116082 | − | 0.568054i | ||||
\(999\) | −2.43736 | + | 0.368836i | −0.0771147 | + | 0.0116695i |
(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 | 252.2.bj.b.103.31 | yes | 84 | |
3.2 | odd | 2 | 756.2.bj.b.523.12 | 84 | |||
4.3 | odd | 2 | inner | 252.2.bj.b.103.32 | yes | 84 | |
7.3 | odd | 6 | 252.2.n.b.31.25 | yes | 84 | ||
9.2 | odd | 6 | 756.2.n.b.19.39 | 84 | |||
9.7 | even | 3 | 252.2.n.b.187.4 | yes | 84 | ||
12.11 | even | 2 | 756.2.bj.b.523.11 | 84 | |||
21.17 | even | 6 | 756.2.n.b.199.18 | 84 | |||
28.3 | even | 6 | 252.2.n.b.31.4 | ✓ | 84 | ||
36.7 | odd | 6 | 252.2.n.b.187.25 | yes | 84 | ||
36.11 | even | 6 | 756.2.n.b.19.18 | 84 | |||
63.38 | even | 6 | 756.2.bj.b.451.12 | 84 | |||
63.52 | odd | 6 | inner | 252.2.bj.b.115.31 | yes | 84 | |
84.59 | odd | 6 | 756.2.n.b.199.39 | 84 | |||
252.115 | even | 6 | inner | 252.2.bj.b.115.32 | yes | 84 | |
252.227 | odd | 6 | 756.2.bj.b.451.11 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.4 | ✓ | 84 | 28.3 | even | 6 | ||
252.2.n.b.31.25 | yes | 84 | 7.3 | odd | 6 | ||
252.2.n.b.187.4 | yes | 84 | 9.7 | even | 3 | ||
252.2.n.b.187.25 | yes | 84 | 36.7 | odd | 6 | ||
252.2.bj.b.103.31 | yes | 84 | 1.1 | even | 1 | trivial | |
252.2.bj.b.103.32 | yes | 84 | 4.3 | odd | 2 | inner | |
252.2.bj.b.115.31 | yes | 84 | 63.52 | odd | 6 | inner | |
252.2.bj.b.115.32 | yes | 84 | 252.115 | even | 6 | inner | |
756.2.n.b.19.18 | 84 | 36.11 | even | 6 | |||
756.2.n.b.19.39 | 84 | 9.2 | odd | 6 | |||
756.2.n.b.199.18 | 84 | 21.17 | even | 6 | |||
756.2.n.b.199.39 | 84 | 84.59 | odd | 6 | |||
756.2.bj.b.451.11 | 84 | 252.227 | odd | 6 | |||
756.2.bj.b.451.12 | 84 | 63.38 | even | 6 | |||
756.2.bj.b.523.11 | 84 | 12.11 | even | 2 | |||
756.2.bj.b.523.12 | 84 | 3.2 | odd | 2 |