Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(103,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 14, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bt (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 103.15 | ||
Character | \(\chi\) | \(=\) | 756.103 |
Dual form | 756.2.bt.a.367.15 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33467 | + | 0.467620i | −0.943751 | + | 0.330657i | ||||
\(3\) | −0.284726 | + | 1.70849i | −0.164387 | + | 0.986396i | ||||
\(4\) | 1.56266 | − | 1.24823i | 0.781331 | − | 0.624116i | ||||
\(5\) | 1.73945 | + | 0.306711i | 0.777904 | + | 0.137165i | 0.548483 | − | 0.836162i | \(-0.315206\pi\) |
0.229421 | + | 0.973327i | \(0.426317\pi\) | |||||||
\(6\) | −0.418909 | − | 2.41340i | −0.171019 | − | 0.985268i | ||||
\(7\) | −0.667920 | − | 2.56006i | −0.252450 | − | 0.967610i | ||||
\(8\) | −1.50193 | + | 2.39671i | −0.531014 | + | 0.847363i | ||||
\(9\) | −2.83786 | − | 0.972903i | −0.945954 | − | 0.324301i | ||||
\(10\) | −2.46500 | + | 0.404043i | −0.779502 | + | 0.127770i | ||||
\(11\) | 1.66827 | − | 0.294162i | 0.503003 | − | 0.0886931i | 0.0836116 | − | 0.996498i | \(-0.473354\pi\) |
0.419392 | + | 0.907805i | \(0.362243\pi\) | |||||||
\(12\) | 1.68766 | + | 3.02520i | 0.487185 | + | 0.873299i | ||||
\(13\) | 2.43071 | − | 2.89681i | 0.674157 | − | 0.803430i | −0.315186 | − | 0.949030i | \(-0.602067\pi\) |
0.989343 | + | 0.145600i | \(0.0465114\pi\) | |||||||
\(14\) | 2.08858 | + | 3.10448i | 0.558197 | + | 0.829708i | ||||
\(15\) | −1.01928 | + | 2.88449i | −0.263177 | + | 0.744773i | ||||
\(16\) | 0.883831 | − | 3.90113i | 0.220958 | − | 0.975283i | ||||
\(17\) | − | 0.108207i | − | 0.0262440i | −0.999914 | − | 0.0131220i | \(-0.995823\pi\) | ||
0.999914 | − | 0.0131220i | \(-0.00417698\pi\) | |||||||
\(18\) | 4.24254 | − | 0.0285419i | 0.999977 | − | 0.00672739i | ||||
\(19\) | −2.50349 | −0.574339 | −0.287169 | − | 0.957880i | \(-0.592714\pi\) | ||||
−0.287169 | + | 0.957880i | \(0.592714\pi\) | |||||||
\(20\) | 3.10101 | − | 1.69195i | 0.693408 | − | 0.378331i | ||||
\(21\) | 4.56400 | − | 0.412219i | 0.995946 | − | 0.0899536i | ||||
\(22\) | −2.08903 | + | 1.17273i | −0.445383 | + | 0.250026i | ||||
\(23\) | 4.18758 | − | 4.99056i | 0.873170 | − | 1.04060i | −0.125652 | − | 0.992074i | \(-0.540102\pi\) |
0.998822 | − | 0.0485289i | \(-0.0154533\pi\) | |||||||
\(24\) | −3.66710 | − | 3.24844i | −0.748544 | − | 0.663085i | ||||
\(25\) | −1.76686 | − | 0.643085i | −0.353372 | − | 0.128617i | ||||
\(26\) | −1.88958 | + | 5.00292i | −0.370577 | + | 0.981153i | ||||
\(27\) | 2.47021 | − | 4.57144i | 0.475391 | − | 0.879774i | ||||
\(28\) | −4.23928 | − | 3.16678i | −0.801148 | − | 0.598466i | ||||
\(29\) | 4.01785 | − | 3.37138i | 0.746096 | − | 0.626049i | −0.188371 | − | 0.982098i | \(-0.560321\pi\) |
0.934467 | + | 0.356049i | \(0.115876\pi\) | |||||||
\(30\) | 0.0115482 | − | 4.32647i | 0.00210841 | − | 0.789902i | ||||
\(31\) | 4.44483 | − | 1.61779i | 0.798315 | − | 0.290563i | 0.0895270 | − | 0.995984i | \(-0.471464\pi\) |
0.708788 | + | 0.705421i | \(0.249242\pi\) | |||||||
\(32\) | 0.644630 | + | 5.62000i | 0.113956 | + | 0.993486i | ||||
\(33\) | 0.0275704 | + | 2.93398i | 0.00479939 | + | 0.510740i | ||||
\(34\) | 0.0505997 | + | 0.144420i | 0.00867777 | + | 0.0247678i | ||||
\(35\) | −0.376614 | − | 4.65794i | −0.0636593 | − | 0.787335i | ||||
\(36\) | −5.64903 | + | 2.02199i | −0.941505 | + | 0.336999i | ||||
\(37\) | −3.63400 | − | 6.29427i | −0.597425 | − | 1.03477i | −0.993200 | − | 0.116423i | \(-0.962857\pi\) |
0.395774 | − | 0.918348i | \(-0.370476\pi\) | |||||||
\(38\) | 3.34131 | − | 1.17068i | 0.542033 | − | 0.189909i | ||||
\(39\) | 4.25707 | + | 4.97763i | 0.681677 | + | 0.797059i | ||||
\(40\) | −3.34763 | + | 3.70828i | −0.529307 | + | 0.586331i | ||||
\(41\) | −2.53806 | + | 3.02474i | −0.396378 | + | 0.472385i | −0.926912 | − | 0.375278i | \(-0.877547\pi\) |
0.530534 | + | 0.847664i | \(0.321992\pi\) | |||||||
\(42\) | −5.89865 | + | 2.68439i | −0.910181 | + | 0.414211i | ||||
\(43\) | −0.336096 | + | 0.923417i | −0.0512542 | + | 0.140820i | −0.962678 | − | 0.270649i | \(-0.912762\pi\) |
0.911424 | + | 0.411469i | \(0.134984\pi\) | |||||||
\(44\) | 2.23977 | − | 2.54207i | 0.337658 | − | 0.383231i | ||||
\(45\) | −4.63791 | − | 2.56272i | −0.691378 | − | 0.382027i | ||||
\(46\) | −3.25533 | + | 8.61892i | −0.479972 | + | 1.27079i | ||||
\(47\) | 2.22328 | + | 0.809206i | 0.324298 | + | 0.118035i | 0.499039 | − | 0.866580i | \(-0.333687\pi\) |
−0.174741 | + | 0.984614i | \(0.555909\pi\) | |||||||
\(48\) | 6.41339 | + | 2.62077i | 0.925693 | + | 0.378275i | ||||
\(49\) | −6.10776 | + | 3.41983i | −0.872538 | + | 0.488547i | ||||
\(50\) | 2.65889 | + | 0.0320833i | 0.376024 | + | 0.00453727i | ||||
\(51\) | 0.184870 | + | 0.0308093i | 0.0258870 | + | 0.00431417i | ||||
\(52\) | 0.182491 | − | 7.56082i | 0.0253069 | − | 1.04850i | ||||
\(53\) | −1.11508 | − | 1.93137i | −0.153168 | − | 0.265294i | 0.779223 | − | 0.626747i | \(-0.215614\pi\) |
−0.932390 | + | 0.361453i | \(0.882281\pi\) | |||||||
\(54\) | −1.15920 | + | 7.25646i | −0.157747 | + | 0.987480i | ||||
\(55\) | 2.99209 | 0.403454 | ||||||||
\(56\) | 7.13887 | + | 2.24422i | 0.953972 | + | 0.299897i | ||||
\(57\) | 0.712808 | − | 4.27717i | 0.0944137 | − | 0.566526i | ||||
\(58\) | −3.78596 | + | 6.37849i | −0.497121 | + | 0.837537i | ||||
\(59\) | 0.834934 | + | 0.700593i | 0.108699 | + | 0.0912094i | 0.695517 | − | 0.718509i | \(-0.255175\pi\) |
−0.586818 | + | 0.809719i | \(0.699620\pi\) | |||||||
\(60\) | 2.00773 | + | 5.77979i | 0.259197 | + | 0.746167i | ||||
\(61\) | 0.0390959 | − | 0.107415i | 0.00500572 | − | 0.0137531i | −0.937165 | − | 0.348888i | \(-0.886560\pi\) |
0.942170 | + | 0.335134i | \(0.108782\pi\) | |||||||
\(62\) | −5.17585 | + | 4.23769i | −0.657334 | + | 0.538188i | ||||
\(63\) | −0.595219 | + | 7.91490i | −0.0749905 | + | 0.997184i | ||||
\(64\) | −3.48839 | − | 7.19938i | −0.436049 | − | 0.899923i | ||||
\(65\) | 5.11657 | − | 4.29331i | 0.634633 | − | 0.532520i | ||||
\(66\) | −1.40879 | − | 3.90299i | −0.173409 | − | 0.480425i | ||||
\(67\) | 4.63395 | + | 0.817090i | 0.566127 | + | 0.0998234i | 0.449384 | − | 0.893339i | \(-0.351644\pi\) |
0.116743 | + | 0.993162i | \(0.462755\pi\) | |||||||
\(68\) | −0.135067 | − | 0.169091i | −0.0163793 | − | 0.0205053i | ||||
\(69\) | 7.33400 | + | 8.57536i | 0.882909 | + | 1.03235i | ||||
\(70\) | 2.68080 | + | 6.04067i | 0.320417 | + | 0.721999i | ||||
\(71\) | 12.7272 | + | 7.34807i | 1.51045 | + | 0.872056i | 0.999926 | + | 0.0121899i | \(0.00388025\pi\) |
0.510520 | + | 0.859866i | \(0.329453\pi\) | |||||||
\(72\) | 6.59404 | − | 5.34028i | 0.777115 | − | 0.629358i | ||||
\(73\) | 12.5023 | + | 7.21823i | 1.46329 | + | 0.844830i | 0.999162 | − | 0.0409380i | \(-0.0130346\pi\) |
0.464128 | + | 0.885768i | \(0.346368\pi\) | |||||||
\(74\) | 7.79349 | + | 6.70141i | 0.905975 | + | 0.779023i | ||||
\(75\) | 1.60178 | − | 2.83556i | 0.184957 | − | 0.327422i | ||||
\(76\) | −3.91210 | + | 3.12493i | −0.448749 | + | 0.358454i | ||||
\(77\) | −1.86734 | − | 4.07440i | −0.212804 | − | 0.464320i | ||||
\(78\) | −8.00941 | − | 4.65278i | −0.906887 | − | 0.526824i | ||||
\(79\) | −7.21920 | + | 1.27294i | −0.812223 | + | 0.143217i | −0.564307 | − | 0.825565i | \(-0.690857\pi\) |
−0.247916 | + | 0.968782i | \(0.579746\pi\) | |||||||
\(80\) | 2.73390 | − | 6.51473i | 0.305659 | − | 0.728369i | ||||
\(81\) | 7.10692 | + | 5.52193i | 0.789658 | + | 0.613547i | ||||
\(82\) | 1.97303 | − | 5.22387i | 0.217885 | − | 0.576880i | ||||
\(83\) | 6.51932 | − | 5.47036i | 0.715589 | − | 0.600450i | −0.210572 | − | 0.977578i | \(-0.567533\pi\) |
0.926161 | + | 0.377128i | \(0.123088\pi\) | |||||||
\(84\) | 6.61744 | − | 6.34109i | 0.722022 | − | 0.691870i | ||||
\(85\) | 0.0331883 | − | 0.188220i | 0.00359977 | − | 0.0204153i | ||||
\(86\) | 0.0167677 | − | 1.38962i | 0.00180811 | − | 0.149846i | ||||
\(87\) | 4.61597 | + | 7.82437i | 0.494884 | + | 0.838861i | ||||
\(88\) | −1.80062 | + | 4.44017i | −0.191946 | + | 0.473324i | ||||
\(89\) | 14.5721i | 1.54463i | 0.635237 | + | 0.772317i | \(0.280902\pi\) | ||||
−0.635237 | + | 0.772317i | \(0.719098\pi\) | |||||||
\(90\) | 7.38843 | + | 1.25159i | 0.778809 | + | 0.131929i | ||||
\(91\) | −9.03950 | − | 4.28791i | −0.947598 | − | 0.449496i | ||||
\(92\) | 0.314392 | − | 13.0256i | 0.0327776 | − | 1.35802i | ||||
\(93\) | 1.49841 | + | 8.05456i | 0.155378 | + | 0.835219i | ||||
\(94\) | −3.34573 | − | 0.0403710i | −0.345086 | − | 0.00416395i | ||||
\(95\) | −4.35468 | − | 0.767847i | −0.446780 | − | 0.0787794i | ||||
\(96\) | −9.78525 | − | 0.498820i | −0.998703 | − | 0.0509106i | ||||
\(97\) | 4.44084 | − | 12.2011i | 0.450899 | − | 1.23884i | −0.481193 | − | 0.876615i | \(-0.659796\pi\) |
0.932092 | − | 0.362221i | \(-0.117981\pi\) | |||||||
\(98\) | 6.55264 | − | 7.42044i | 0.661917 | − | 0.749577i | ||||
\(99\) | −5.02052 | − | 0.788277i | −0.504581 | − | 0.0792249i | ||||
\(100\) | −3.56373 | + | 1.20053i | −0.356373 | + | 0.120053i | ||||
\(101\) | 8.34217 | + | 9.94181i | 0.830077 | + | 0.989247i | 0.999993 | + | 0.00378834i | \(0.00120587\pi\) |
−0.169916 | + | 0.985459i | \(0.554350\pi\) | |||||||
\(102\) | −0.261147 | + | 0.0453288i | −0.0258574 | + | 0.00448822i | ||||
\(103\) | 2.18841 | − | 12.4111i | 0.215631 | − | 1.22290i | −0.664178 | − | 0.747574i | \(-0.731218\pi\) |
0.879809 | − | 0.475328i | \(-0.157670\pi\) | |||||||
\(104\) | 3.29203 | + | 10.1765i | 0.322810 | + | 0.997888i | ||||
\(105\) | 8.06526 | + | 0.682797i | 0.787089 | + | 0.0666342i | ||||
\(106\) | 2.39140 | + | 2.05630i | 0.232274 | + | 0.199726i | ||||
\(107\) | 4.87433 | + | 2.81419i | 0.471219 | + | 0.272058i | 0.716750 | − | 0.697330i | \(-0.245629\pi\) |
−0.245531 | + | 0.969389i | \(0.578962\pi\) | |||||||
\(108\) | −1.84612 | − | 10.2270i | −0.177643 | − | 0.984095i | ||||
\(109\) | −0.888204 | − | 1.53841i | −0.0850745 | − | 0.147353i | 0.820348 | − | 0.571864i | \(-0.193779\pi\) |
−0.905423 | + | 0.424511i | \(0.860446\pi\) | |||||||
\(110\) | −3.99344 | + | 1.39916i | −0.380760 | + | 0.133405i | ||||
\(111\) | 11.7884 | − | 4.41650i | 1.11890 | − | 0.419195i | ||||
\(112\) | −10.5774 | + | 0.342991i | −0.999475 | + | 0.0324096i | ||||
\(113\) | −10.0812 | + | 3.66926i | −0.948360 | + | 0.345175i | −0.769462 | − | 0.638693i | \(-0.779476\pi\) |
−0.178898 | + | 0.983868i | \(0.557253\pi\) | |||||||
\(114\) | 1.04873 | + | 6.04192i | 0.0982228 | + | 0.565878i | ||||
\(115\) | 8.81472 | − | 7.39643i | 0.821977 | − | 0.689721i | ||||
\(116\) | 2.07028 | − | 10.2835i | 0.192221 | − | 0.954803i | ||||
\(117\) | −9.71633 | + | 5.85589i | −0.898275 | + | 0.541378i | ||||
\(118\) | −1.44197 | − | 0.544625i | −0.132744 | − | 0.0501368i | ||||
\(119\) | −0.277015 | + | 0.0722735i | −0.0253940 | + | 0.00662530i | ||||
\(120\) | −5.38239 | − | 6.77523i | −0.491343 | − | 0.618491i | ||||
\(121\) | −7.64001 | + | 2.78074i | −0.694547 | + | 0.252794i | ||||
\(122\) | −0.00195048 | + | 0.161645i | −0.000176588 | + | 0.0146347i | ||||
\(123\) | −4.44508 | − | 5.19747i | −0.400800 | − | 0.468640i | ||||
\(124\) | 4.92640 | − | 8.07624i | 0.442404 | − | 0.725267i | ||||
\(125\) | −10.5243 | − | 6.07623i | −0.941325 | − | 0.543474i | ||||
\(126\) | −2.90675 | − | 10.8421i | −0.258954 | − | 0.965890i | ||||
\(127\) | −13.6677 | + | 7.89105i | −1.21281 | + | 0.700218i | −0.963371 | − | 0.268172i | \(-0.913580\pi\) |
−0.249442 | + | 0.968390i | \(0.580247\pi\) | |||||||
\(128\) | 8.02241 | + | 7.97752i | 0.709088 | + | 0.705120i | ||||
\(129\) | −1.48195 | − | 0.837138i | −0.130479 | − | 0.0737059i | ||||
\(130\) | −4.82127 | + | 8.12275i | −0.422853 | + | 0.712412i | ||||
\(131\) | −14.5624 | − | 12.2193i | −1.27232 | − | 1.06761i | −0.994254 | − | 0.107046i | \(-0.965861\pi\) |
−0.278070 | − | 0.960561i | \(-0.589695\pi\) | |||||||
\(132\) | 3.70537 | + | 4.55041i | 0.322511 | + | 0.396062i | ||||
\(133\) | 1.67213 | + | 6.40906i | 0.144992 | + | 0.555736i | ||||
\(134\) | −6.56686 | + | 1.07639i | −0.567290 | + | 0.0929855i | ||||
\(135\) | 5.69890 | − | 7.19414i | 0.490483 | − | 0.619173i | ||||
\(136\) | 0.259340 | + | 0.162519i | 0.0222382 | + | 0.0139359i | ||||
\(137\) | −2.62661 | − | 0.956007i | −0.224406 | − | 0.0816772i | 0.227370 | − | 0.973808i | \(-0.426987\pi\) |
−0.451776 | + | 0.892131i | \(0.649210\pi\) | |||||||
\(138\) | −13.7984 | − | 8.01572i | −1.17460 | − | 0.682343i | ||||
\(139\) | −2.76113 | + | 15.6591i | −0.234196 | + | 1.32819i | 0.610105 | + | 0.792321i | \(0.291127\pi\) |
−0.844301 | + | 0.535870i | \(0.819984\pi\) | |||||||
\(140\) | −6.40271 | − | 6.80868i | −0.541128 | − | 0.575439i | ||||
\(141\) | −2.01554 | + | 3.56804i | −0.169739 | + | 0.300483i | ||||
\(142\) | −20.4227 | − | 3.85571i | −1.71384 | − | 0.323564i | ||||
\(143\) | 3.20296 | − | 5.54769i | 0.267845 | − | 0.463921i | ||||
\(144\) | −6.30361 | + | 10.2110i | −0.525301 | + | 0.850916i | ||||
\(145\) | 8.02288 | − | 4.63201i | 0.666264 | − | 0.384667i | ||||
\(146\) | −20.0618 | − | 3.78758i | −1.66033 | − | 0.313462i | ||||
\(147\) | −4.10369 | − | 11.4088i | −0.338467 | − | 0.940978i | ||||
\(148\) | −13.5354 | − | 5.29974i | −1.11260 | − | 0.435636i | ||||
\(149\) | −16.6498 | + | 6.06002i | −1.36400 | + | 0.496456i | −0.917289 | − | 0.398221i | \(-0.869628\pi\) |
−0.446713 | + | 0.894677i | \(0.647405\pi\) | |||||||
\(150\) | −0.811869 | + | 4.53355i | −0.0662889 | + | 0.370162i | ||||
\(151\) | 17.8573 | − | 3.14872i | 1.45321 | − | 0.256240i | 0.609390 | − | 0.792871i | \(-0.291414\pi\) |
0.843817 | + | 0.536631i | \(0.180303\pi\) | |||||||
\(152\) | 3.76007 | − | 6.00012i | 0.304982 | − | 0.486674i | ||||
\(153\) | −0.105275 | + | 0.307076i | −0.00851095 | + | 0.0248256i | ||||
\(154\) | 4.39755 | + | 4.56475i | 0.354364 | + | 0.367838i | ||||
\(155\) | 8.22774 | − | 1.45077i | 0.660868 | − | 0.116529i | ||||
\(156\) | 12.8656 | + | 2.46455i | 1.03007 | + | 0.197322i | ||||
\(157\) | 1.35528 | − | 1.61516i | 0.108163 | − | 0.128903i | −0.709247 | − | 0.704960i | \(-0.750965\pi\) |
0.817410 | + | 0.576057i | \(0.195409\pi\) | |||||||
\(158\) | 9.03996 | − | 5.07479i | 0.719181 | − | 0.403729i | ||||
\(159\) | 3.61722 | − | 1.35519i | 0.286864 | − | 0.107473i | ||||
\(160\) | −0.602419 | + | 9.97341i | −0.0476254 | + | 0.788467i | ||||
\(161\) | −15.5731 | − | 7.38713i | −1.22733 | − | 0.582187i | ||||
\(162\) | −12.0675 | − | 4.04658i | −0.948114 | − | 0.317930i | ||||
\(163\) | −19.6034 | − | 11.3180i | −1.53546 | − | 0.886497i | −0.999096 | − | 0.0425094i | \(-0.986465\pi\) |
−0.536362 | − | 0.843988i | \(-0.680202\pi\) | |||||||
\(164\) | −0.190551 | + | 7.89474i | −0.0148795 | + | 0.616476i | ||||
\(165\) | −0.851928 | + | 5.11196i | −0.0663225 | + | 0.397965i | ||||
\(166\) | −6.14306 | + | 10.3497i | −0.476794 | + | 0.803290i | ||||
\(167\) | −5.75542 | + | 2.09480i | −0.445368 | + | 0.162101i | −0.554962 | − | 0.831876i | \(-0.687267\pi\) |
0.109594 | + | 0.993976i | \(0.465045\pi\) | |||||||
\(168\) | −5.86685 | + | 11.5577i | −0.452638 | + | 0.891695i | ||||
\(169\) | −0.225714 | − | 1.28009i | −0.0173626 | − | 0.0984684i | ||||
\(170\) | 0.0437202 | + | 0.266730i | 0.00335319 | + | 0.0204573i | ||||
\(171\) | 7.10455 | + | 2.43565i | 0.543298 | + | 0.186259i | ||||
\(172\) | 0.627434 | + | 1.86252i | 0.0478414 | + | 0.142016i | ||||
\(173\) | 0.405981 | + | 0.483829i | 0.0308662 | + | 0.0367849i | 0.781257 | − | 0.624210i | \(-0.214579\pi\) |
−0.750391 | + | 0.660995i | \(0.770135\pi\) | |||||||
\(174\) | −9.81961 | − | 8.28440i | −0.744423 | − | 0.628038i | ||||
\(175\) | −0.466211 | + | 4.95279i | −0.0352422 | + | 0.374396i | ||||
\(176\) | 0.326908 | − | 6.76815i | 0.0246416 | − | 0.510168i | ||||
\(177\) | −1.43468 | + | 1.22700i | −0.107837 | + | 0.0922268i | ||||
\(178\) | −6.81418 | − | 19.4488i | −0.510745 | − | 1.45775i | ||||
\(179\) | 6.86567i | 0.513164i | 0.966522 | + | 0.256582i | \(0.0825964\pi\) | ||||
−0.966522 | + | 0.256582i | \(0.917404\pi\) | |||||||
\(180\) | −10.4464 | + | 1.78453i | −0.778625 | + | 0.133011i | ||||
\(181\) | 22.5668 | − | 13.0289i | 1.67737 | − | 0.968433i | 0.714049 | − | 0.700095i | \(-0.246859\pi\) |
0.963325 | − | 0.268337i | \(-0.0864741\pi\) | |||||||
\(182\) | 14.0698 | + | 1.49588i | 1.04293 | + | 0.110882i | ||||
\(183\) | 0.172386 | + | 0.0973788i | 0.0127431 | + | 0.00719845i | ||||
\(184\) | 5.67144 | + | 17.5319i | 0.418104 | + | 1.29247i | ||||
\(185\) | −4.39062 | − | 12.0631i | −0.322805 | − | 0.886899i | ||||
\(186\) | −5.76635 | − | 10.0495i | −0.422809 | − | 0.736862i | ||||
\(187\) | −0.0318303 | − | 0.180519i | −0.00232766 | − | 0.0132008i | ||||
\(188\) | 4.48431 | − | 1.51065i | 0.327052 | − | 0.110175i | ||||
\(189\) | −13.3530 | − | 3.27050i | −0.971291 | − | 0.237894i | ||||
\(190\) | 6.17110 | − | 1.01152i | 0.447698 | − | 0.0733831i | ||||
\(191\) | 2.65942 | − | 0.468927i | 0.192429 | − | 0.0339304i | −0.0766030 | − | 0.997062i | \(-0.524407\pi\) |
0.269032 | + | 0.963131i | \(0.413296\pi\) | |||||||
\(192\) | 13.2933 | − | 3.91002i | 0.959361 | − | 0.282182i | ||||
\(193\) | 17.2785 | − | 6.28886i | 1.24373 | − | 0.452682i | 0.365454 | − | 0.930830i | \(-0.380914\pi\) |
0.878279 | + | 0.478148i | \(0.158692\pi\) | |||||||
\(194\) | −0.221552 | + | 18.3610i | −0.0159065 | + | 1.31825i | ||||
\(195\) | 5.87825 | + | 9.96402i | 0.420950 | + | 0.713538i | ||||
\(196\) | −5.27564 | + | 12.9679i | −0.376831 | + | 0.926282i | ||||
\(197\) | 4.41272 | + | 7.64305i | 0.314393 | + | 0.544545i | 0.979308 | − | 0.202374i | \(-0.0648656\pi\) |
−0.664915 | + | 0.746919i | \(0.731532\pi\) | |||||||
\(198\) | 7.06933 | − | 1.29561i | 0.502395 | − | 0.0920750i | ||||
\(199\) | 12.3523 | 0.875630 | 0.437815 | − | 0.899065i | \(-0.355752\pi\) | ||||
0.437815 | + | 0.899065i | \(0.355752\pi\) | |||||||
\(200\) | 4.19500 | − | 3.26878i | 0.296631 | − | 0.231137i | ||||
\(201\) | −2.71539 | + | 7.68440i | −0.191529 | + | 0.542016i | ||||
\(202\) | −15.7830 | − | 9.36802i | −1.11049 | − | 0.659132i | ||||
\(203\) | −11.3145 | − | 8.03411i | −0.794123 | − | 0.563884i | ||||
\(204\) | 0.327347 | − | 0.182616i | 0.0229189 | − | 0.0127857i | ||||
\(205\) | −5.34254 | + | 4.48292i | −0.373139 | + | 0.313101i | ||||
\(206\) | 2.88288 | + | 17.5880i | 0.200860 | + | 1.22541i | ||||
\(207\) | −16.7391 | + | 10.0884i | −1.16345 | + | 0.701193i | ||||
\(208\) | −9.15249 | − | 12.0428i | −0.634611 | − | 0.835019i | ||||
\(209\) | −4.17650 | + | 0.736429i | −0.288894 | + | 0.0509399i | ||||
\(210\) | −11.0837 | + | 2.86017i | −0.764849 | + | 0.197371i | ||||
\(211\) | 1.09745 | + | 3.01522i | 0.0755516 | + | 0.207576i | 0.971719 | − | 0.236139i | \(-0.0758822\pi\) |
−0.896168 | + | 0.443716i | \(0.853660\pi\) | |||||||
\(212\) | −4.15329 | − | 1.62621i | −0.285249 | − | 0.111688i | ||||
\(213\) | −16.1779 | + | 19.6521i | −1.10849 | + | 1.34654i | ||||
\(214\) | −7.82157 | − | 1.47667i | −0.534671 | − | 0.100943i | ||||
\(215\) | −0.867844 | + | 1.50315i | −0.0591865 | + | 0.102514i | ||||
\(216\) | 7.24631 | + | 12.7864i | 0.493049 | + | 0.870001i | ||||
\(217\) | −7.11041 | − | 10.2985i | −0.482686 | − | 0.699105i | ||||
\(218\) | 1.90485 | + | 1.63793i | 0.129013 | + | 0.110934i | ||||
\(219\) | −15.8920 | + | 19.3049i | −1.07388 | + | 1.30450i | ||||
\(220\) | 4.67563 | − | 3.73483i | 0.315231 | − | 0.251802i | ||||
\(221\) | −0.313454 | − | 0.263019i | −0.0210852 | − | 0.0176926i | ||||
\(222\) | −13.6683 | + | 11.4070i | −0.917355 | + | 0.765589i | ||||
\(223\) | −3.18396 | − | 18.0571i | −0.213214 | − | 1.20919i | −0.883980 | − | 0.467526i | \(-0.845146\pi\) |
0.670766 | − | 0.741669i | \(-0.265966\pi\) | |||||||
\(224\) | 13.9570 | − | 5.40400i | 0.932539 | − | 0.361070i | ||||
\(225\) | 4.38845 | + | 3.54397i | 0.292563 | + | 0.236265i | ||||
\(226\) | 11.7392 | − | 9.61141i | 0.780881 | − | 0.639341i | ||||
\(227\) | −2.72857 | − | 15.4745i | −0.181102 | − | 1.02708i | −0.930863 | − | 0.365370i | \(-0.880943\pi\) |
0.749761 | − | 0.661709i | \(-0.230169\pi\) | |||||||
\(228\) | −4.22503 | − | 7.57353i | −0.279809 | − | 0.501569i | ||||
\(229\) | −3.08694 | − | 8.48128i | −0.203990 | − | 0.560459i | 0.794940 | − | 0.606687i | \(-0.207502\pi\) |
−0.998931 | + | 0.0462284i | \(0.985280\pi\) | |||||||
\(230\) | −8.30598 | + | 13.9937i | −0.547680 | + | 0.922717i | ||||
\(231\) | 7.49274 | − | 2.03025i | 0.492986 | − | 0.133580i | ||||
\(232\) | 2.04565 | + | 14.6932i | 0.134304 | + | 0.964655i | ||||
\(233\) | −12.9597 | − | 22.4469i | −0.849021 | − | 1.47055i | −0.882083 | − | 0.471094i | \(-0.843859\pi\) |
0.0330616 | − | 0.999453i | \(-0.489474\pi\) | |||||||
\(234\) | 10.2297 | − | 12.3592i | 0.668737 | − | 0.807947i | ||||
\(235\) | 3.61908 | + | 2.08947i | 0.236082 | + | 0.136302i | ||||
\(236\) | 2.17922 | + | 0.0525986i | 0.141855 | + | 0.00342387i | ||||
\(237\) | −0.119307 | − | 12.6964i | −0.00774980 | − | 0.824717i | ||||
\(238\) | 0.335926 | − | 0.225999i | 0.0217749 | − | 0.0146493i | ||||
\(239\) | −19.0690 | − | 3.36239i | −1.23347 | − | 0.217495i | −0.481357 | − | 0.876525i | \(-0.659856\pi\) |
−0.752117 | + | 0.659030i | \(0.770967\pi\) | |||||||
\(240\) | 10.3519 | + | 6.52575i | 0.668214 | + | 0.421235i | ||||
\(241\) | 6.89422 | − | 18.9417i | 0.444096 | − | 1.22014i | −0.492679 | − | 0.870211i | \(-0.663982\pi\) |
0.936775 | − | 0.349932i | \(-0.113795\pi\) | |||||||
\(242\) | 8.89653 | − | 7.28398i | 0.571891 | − | 0.468232i | ||||
\(243\) | −11.4577 | + | 10.5699i | −0.735010 | + | 0.678056i | ||||
\(244\) | −0.0729853 | − | 0.216654i | −0.00467241 | − | 0.0138699i | ||||
\(245\) | −11.6730 | + | 4.07528i | −0.745762 | + | 0.260360i | ||||
\(246\) | 8.36314 | + | 4.85827i | 0.533214 | + | 0.309752i | ||||
\(247\) | −6.08524 | + | 7.25211i | −0.387195 | + | 0.461441i | ||||
\(248\) | −2.79848 | + | 13.0828i | −0.177704 | + | 0.830756i | ||||
\(249\) | 7.48982 | + | 12.6957i | 0.474648 | + | 0.804560i | ||||
\(250\) | 16.8878 | + | 3.18834i | 1.06808 | + | 0.201648i | ||||
\(251\) | 9.22500 | + | 15.9782i | 0.582277 | + | 1.00853i | 0.995209 | + | 0.0977715i | \(0.0311714\pi\) |
−0.412932 | + | 0.910762i | \(0.635495\pi\) | |||||||
\(252\) | 8.94952 | + | 13.1113i | 0.563767 | + | 0.825934i | ||||
\(253\) | 5.51799 | − | 9.55744i | 0.346913 | − | 0.600871i | ||||
\(254\) | 14.5518 | − | 16.9232i | 0.913061 | − | 1.06186i | ||||
\(255\) | 0.312122 | + | 0.110293i | 0.0195458 | + | 0.00690681i | ||||
\(256\) | −14.4377 | − | 6.89588i | −0.902355 | − | 0.430993i | ||||
\(257\) | −2.03940 | − | 5.60321i | −0.127214 | − | 0.349519i | 0.859692 | − | 0.510813i | \(-0.170655\pi\) |
−0.986906 | + | 0.161294i | \(0.948433\pi\) | |||||||
\(258\) | 2.36937 | + | 0.424308i | 0.147511 | + | 0.0264163i | ||||
\(259\) | −13.6864 | + | 13.5073i | −0.850435 | + | 0.839303i | ||||
\(260\) | 2.63642 | − | 13.0957i | 0.163504 | − | 0.812159i | ||||
\(261\) | −14.6821 | + | 5.65853i | −0.908801 | + | 0.350254i | ||||
\(262\) | 25.1499 | + | 9.49902i | 1.55377 | + | 0.586851i | ||||
\(263\) | 13.3248 | + | 15.8799i | 0.821645 | + | 0.979198i | 0.999989 | − | 0.00477025i | \(-0.00151842\pi\) |
−0.178344 | + | 0.983968i | \(0.557074\pi\) | |||||||
\(264\) | −7.07330 | − | 4.34056i | −0.435331 | − | 0.267143i | ||||
\(265\) | −1.34724 | − | 3.70152i | −0.0827606 | − | 0.227383i | ||||
\(266\) | −5.22874 | − | 7.77203i | −0.320594 | − | 0.476534i | ||||
\(267\) | −24.8962 | − | 4.14905i | −1.52362 | − | 0.253917i | ||||
\(268\) | 8.26122 | − | 4.50741i | 0.504634 | − | 0.275334i | ||||
\(269\) | −5.62385 | + | 3.24693i | −0.342892 | + | 0.197969i | −0.661550 | − | 0.749901i | \(-0.730101\pi\) |
0.318658 | + | 0.947870i | \(0.396768\pi\) | |||||||
\(270\) | −4.24201 | + | 12.2667i | −0.258160 | + | 0.746527i | ||||
\(271\) | −4.86705 | + | 8.42998i | −0.295652 | + | 0.512085i | −0.975136 | − | 0.221605i | \(-0.928870\pi\) |
0.679484 | + | 0.733690i | \(0.262204\pi\) | |||||||
\(272\) | −0.422129 | − | 0.0956365i | −0.0255953 | − | 0.00579882i | ||||
\(273\) | 9.89963 | − | 14.2230i | 0.599153 | − | 0.860815i | ||||
\(274\) | 3.95269 | + | 0.0476949i | 0.238791 | + | 0.00288135i | ||||
\(275\) | −3.13678 | − | 0.553099i | −0.189155 | − | 0.0333531i | ||||
\(276\) | 22.1646 | + | 4.24587i | 1.33415 | + | 0.255571i | ||||
\(277\) | −1.87944 | + | 1.57703i | −0.112924 | + | 0.0947548i | −0.697501 | − | 0.716583i | \(-0.745705\pi\) |
0.584577 | + | 0.811338i | \(0.301260\pi\) | |||||||
\(278\) | −3.63735 | − | 22.1909i | −0.218153 | − | 1.33092i | ||||
\(279\) | −14.1878 | + | 0.266666i | −0.849399 | + | 0.0159649i | ||||
\(280\) | 11.7293 | + | 6.09328i | 0.700963 | + | 0.364143i | ||||
\(281\) | 0.937973 | + | 0.341394i | 0.0559548 | + | 0.0203659i | 0.369846 | − | 0.929093i | \(-0.379410\pi\) |
−0.313891 | + | 0.949459i | \(0.601633\pi\) | |||||||
\(282\) | 1.02159 | − | 5.70464i | 0.0608348 | − | 0.339707i | ||||
\(283\) | 0.741227 | − | 4.20371i | 0.0440614 | − | 0.249885i | −0.954819 | − | 0.297187i | \(-0.903951\pi\) |
0.998881 | + | 0.0473027i | \(0.0150625\pi\) | |||||||
\(284\) | 29.0605 | − | 4.40399i | 1.72442 | − | 0.261329i | ||||
\(285\) | 2.55175 | − | 7.22129i | 0.151153 | − | 0.427752i | ||||
\(286\) | −1.68067 | + | 8.90207i | −0.0993800 | + | 0.526391i | ||||
\(287\) | 9.43873 | + | 4.47729i | 0.557151 | + | 0.264286i | ||||
\(288\) | 3.63835 | − | 16.5760i | 0.214392 | − | 0.976748i | ||||
\(289\) | 16.9883 | 0.999311 | ||||||||
\(290\) | −8.54183 | + | 9.93384i | −0.501594 | + | 0.583335i | ||||
\(291\) | 19.5810 | + | 11.0611i | 1.14786 | + | 0.648413i | ||||
\(292\) | 28.5470 | − | 4.32617i | 1.67059 | − | 0.253170i | ||||
\(293\) | −11.3597 | − | 2.00303i | −0.663643 | − | 0.117018i | −0.168327 | − | 0.985731i | \(-0.553836\pi\) |
−0.495316 | + | 0.868713i | \(0.664948\pi\) | |||||||
\(294\) | 10.8120 | + | 13.3079i | 0.630570 | + | 0.776133i | ||||
\(295\) | 1.23744 | + | 1.47473i | 0.0720467 | + | 0.0858619i | ||||
\(296\) | 20.5435 | + | 0.743950i | 1.19407 | + | 0.0432412i | ||||
\(297\) | 2.77624 | − | 8.35305i | 0.161094 | − | 0.484693i | ||||
\(298\) | 19.3881 | − | 15.8739i | 1.12312 | − | 0.919548i | ||||
\(299\) | −4.27790 | − | 24.2612i | −0.247398 | − | 1.40306i | ||||
\(300\) | −1.03640 | − | 6.43041i | −0.0598367 | − | 0.371260i | ||||
\(301\) | 2.58848 | + | 0.243656i | 0.149198 | + | 0.0140441i | ||||
\(302\) | −22.3611 | + | 12.5529i | −1.28674 | + | 0.722340i | ||||
\(303\) | −19.3607 | + | 11.4218i | −1.11224 | + | 0.656165i | ||||
\(304\) | −2.21266 | + | 9.76643i | −0.126905 | + | 0.560143i | ||||
\(305\) | 0.100951 | − | 0.174852i | 0.00578042 | − | 0.0100120i | ||||
\(306\) | −0.00308843 | − | 0.459072i | −0.000176554 | − | 0.0262434i | ||||
\(307\) | −15.7016 | + | 27.1960i | −0.896139 | + | 1.55216i | −0.0637508 | + | 0.997966i | \(0.520306\pi\) |
−0.832388 | + | 0.554193i | \(0.813027\pi\) | |||||||
\(308\) | −8.00382 | − | 4.03603i | −0.456060 | − | 0.229974i | ||||
\(309\) | 20.5811 | + | 7.27264i | 1.17082 | + | 0.413726i | ||||
\(310\) | −10.3029 | + | 5.78375i | −0.585163 | + | 0.328495i | ||||
\(311\) | 1.15581 | − | 6.55494i | 0.0655401 | − | 0.371696i | −0.934343 | − | 0.356376i | \(-0.884012\pi\) |
0.999883 | − | 0.0153202i | \(-0.00487675\pi\) | |||||||
\(312\) | −18.3238 | + | 2.72687i | −1.03738 | + | 0.154379i | ||||
\(313\) | 4.72936 | + | 5.63623i | 0.267319 | + | 0.318578i | 0.882960 | − | 0.469449i | \(-0.155547\pi\) |
−0.615641 | + | 0.788027i | \(0.711103\pi\) | |||||||
\(314\) | −1.05356 | + | 2.78945i | −0.0594559 | + | 0.157418i | ||||
\(315\) | −3.46294 | + | 13.5850i | −0.195115 | + | 0.765427i | ||||
\(316\) | −9.69225 | + | 11.0004i | −0.545232 | + | 0.618822i | ||||
\(317\) | −15.2102 | − | 5.53604i | −0.854287 | − | 0.310935i | −0.122500 | − | 0.992468i | \(-0.539091\pi\) |
−0.731787 | + | 0.681533i | \(0.761313\pi\) | |||||||
\(318\) | −4.19406 | + | 3.50020i | −0.235191 | + | 0.196282i | ||||
\(319\) | 5.71114 | − | 6.80628i | 0.319763 | − | 0.381078i | ||||
\(320\) | −3.85974 | − | 13.5929i | −0.215766 | − | 0.759864i | ||||
\(321\) | −6.19587 | + | 7.52645i | −0.345819 | + | 0.420086i | ||||
\(322\) | 24.2392 | + | 2.57706i | 1.35080 | + | 0.143614i | ||||
\(323\) | 0.270894i | 0.0150730i | ||||||||
\(324\) | 17.9984 | − | 0.242181i | 0.999909 | − | 0.0134545i | ||||
\(325\) | −6.15762 | + | 3.55510i | −0.341563 | + | 0.197202i | ||||
\(326\) | 31.4565 | + | 5.93884i | 1.74222 | + | 0.328922i | ||||
\(327\) | 2.88126 | − | 1.07946i | 0.159334 | − | 0.0596942i | ||||
\(328\) | −3.43742 | − | 10.6259i | −0.189800 | − | 0.586720i | ||||
\(329\) | 0.586641 | − | 6.23219i | 0.0323426 | − | 0.343592i | ||||
\(330\) | −1.25342 | − | 7.22113i | −0.0689982 | − | 0.397510i | ||||
\(331\) | 3.66580 | − | 10.0717i | 0.201491 | − | 0.553591i | −0.797256 | − | 0.603641i | \(-0.793716\pi\) |
0.998747 | + | 0.0500501i | \(0.0159381\pi\) | |||||||
\(332\) | 3.35922 | − | 16.6860i | 0.184361 | − | 0.915761i | ||||
\(333\) | 4.18907 | + | 21.3978i | 0.229560 | + | 1.17259i | ||||
\(334\) | 6.70199 | − | 5.48721i | 0.366717 | − | 0.300247i | ||||
\(335\) | 7.80989 | + | 2.84257i | 0.426700 | + | 0.155306i | ||||
\(336\) | 2.42568 | − | 18.1691i | 0.132332 | − | 0.991205i | ||||
\(337\) | 17.7746 | + | 14.9147i | 0.968245 | + | 0.812454i | 0.982275 | − | 0.187447i | \(-0.0600214\pi\) |
−0.0140295 | + | 0.999902i | \(0.504466\pi\) | |||||||
\(338\) | 0.899848 | + | 1.60294i | 0.0489453 | + | 0.0871885i | ||||
\(339\) | −3.39850 | − | 18.2684i | −0.184581 | − | 0.992201i | ||||
\(340\) | −0.183080 | − | 0.335551i | −0.00992892 | − | 0.0181978i | ||||
\(341\) | 6.93930 | − | 4.00641i | 0.375784 | − | 0.216959i | ||||
\(342\) | −10.6211 | + | 0.0714543i | −0.574326 | + | 0.00386380i | ||||
\(343\) | 12.8344 | + | 13.3520i | 0.692995 | + | 0.720943i | ||||
\(344\) | −1.70836 | − | 2.19244i | −0.0921088 | − | 0.118208i | ||||
\(345\) | 10.1269 | + | 17.1658i | 0.545216 | + | 0.924176i | ||||
\(346\) | −0.768097 | − | 0.455905i | −0.0412932 | − | 0.0245096i | ||||
\(347\) | 0.0265919 | + | 0.0730606i | 0.00142753 | + | 0.00392210i | 0.940404 | − | 0.340058i | \(-0.110447\pi\) |
−0.938977 | + | 0.343980i | \(0.888225\pi\) | |||||||
\(348\) | 16.9798 | + | 6.46505i | 0.910215 | + | 0.346563i | ||||
\(349\) | −5.65540 | − | 6.73984i | −0.302726 | − | 0.360775i | 0.593140 | − | 0.805100i | \(-0.297888\pi\) |
−0.895866 | + | 0.444324i | \(0.853444\pi\) | |||||||
\(350\) | −1.69379 | − | 6.82833i | −0.0905369 | − | 0.364990i | ||||
\(351\) | −7.23823 | − | 18.2676i | −0.386348 | − | 0.975050i | ||||
\(352\) | 2.72861 | + | 9.18608i | 0.145435 | + | 0.489620i | ||||
\(353\) | −1.61338 | + | 4.43273i | −0.0858716 | + | 0.235930i | −0.975195 | − | 0.221349i | \(-0.928954\pi\) |
0.889323 | + | 0.457280i | \(0.151176\pi\) | |||||||
\(354\) | 1.34105 | − | 2.30852i | 0.0712761 | − | 0.122696i | ||||
\(355\) | 19.8846 | + | 16.6852i | 1.05537 | + | 0.885557i | ||||
\(356\) | 18.1893 | + | 22.7712i | 0.964032 | + | 1.20687i | ||||
\(357\) | −0.0446049 | − | 0.493856i | −0.00236074 | − | 0.0261376i | ||||
\(358\) | −3.21053 | − | 9.16337i | −0.169682 | − | 0.484299i | ||||
\(359\) | 13.5198i | 0.713547i | 0.934191 | + | 0.356774i | \(0.116123\pi\) | ||||
−0.934191 | + | 0.356774i | \(0.883877\pi\) | |||||||
\(360\) | 13.1079 | − | 7.26667i | 0.690847 | − | 0.382987i | ||||
\(361\) | −12.7326 | −0.670135 | ||||||||
\(362\) | −24.0265 | + | 27.9419i | −1.26280 | + | 1.46860i | ||||
\(363\) | −2.57554 | − | 13.8446i | −0.135181 | − | 0.726654i | ||||
\(364\) | −19.4780 | + | 4.58284i | −1.02093 | + | 0.240206i | ||||
\(365\) | 19.5332 | + | 16.3903i | 1.02242 | + | 0.857910i | ||||
\(366\) | −0.275614 | − | 0.0493570i | −0.0144066 | − | 0.00257993i | ||||
\(367\) | 0.273468 | + | 1.55092i | 0.0142749 | + | 0.0809571i | 0.991113 | − | 0.133023i | \(-0.0424684\pi\) |
−0.976838 | + | 0.213980i | \(0.931357\pi\) | |||||||
\(368\) | −15.7677 | − | 20.7471i | −0.821950 | − | 1.08152i | ||||
\(369\) | 10.1454 | − | 6.11452i | 0.528151 | − | 0.318309i | ||||
\(370\) | 11.5010 | + | 14.0471i | 0.597907 | + | 0.730274i | ||||
\(371\) | −4.19964 | + | 4.14466i | −0.218034 | + | 0.215180i | ||||
\(372\) | 12.3955 | + | 10.7162i | 0.642675 | + | 0.555609i | ||||
\(373\) | −6.13887 | + | 34.8152i | −0.317859 | + | 1.80267i | 0.237865 | + | 0.971298i | \(0.423552\pi\) |
−0.555724 | + | 0.831367i | \(0.687559\pi\) | |||||||
\(374\) | 0.126897 | + | 0.226047i | 0.00656168 | + | 0.0116886i | ||||
\(375\) | 13.3777 | − | 16.2506i | 0.690822 | − | 0.839179i | ||||
\(376\) | −5.27864 | + | 4.11316i | −0.272225 | + | 0.212120i | ||||
\(377\) | − | 19.8338i | − | 1.02149i | ||||||
\(378\) | 19.3512 | − | 1.87912i | 0.995318 | − | 0.0966516i | ||||
\(379\) | 14.2445i | 0.731693i | 0.930675 | + | 0.365847i | \(0.119220\pi\) | ||||
−0.930675 | + | 0.365847i | \(0.880780\pi\) | |||||||
\(380\) | −7.76334 | + | 4.23576i | −0.398251 | + | 0.217290i | ||||
\(381\) | −9.59021 | − | 25.5979i | −0.491322 | − | 1.31142i | ||||
\(382\) | −3.33016 | + | 1.86946i | −0.170386 | + | 0.0956499i | ||||
\(383\) | 1.34335 | − | 7.61852i | 0.0686420 | − | 0.389288i | −0.931060 | − | 0.364867i | \(-0.881115\pi\) |
0.999702 | − | 0.0244214i | \(-0.00777435\pi\) | |||||||
\(384\) | −15.9137 | + | 11.4348i | −0.812092 | + | 0.583529i | ||||
\(385\) | −1.99848 | − | 7.65993i | −0.101852 | − | 0.390386i | ||||
\(386\) | −20.1202 | + | 16.4733i | −1.02409 | + | 0.838468i | ||||
\(387\) | 1.85219 | − | 2.29354i | 0.0941521 | − | 0.116587i | ||||
\(388\) | −8.29029 | − | 24.6094i | −0.420876 | − | 1.24935i | ||||
\(389\) | 4.33246 | + | 24.5706i | 0.219664 | + | 1.24578i | 0.872627 | + | 0.488388i | \(0.162415\pi\) |
−0.652962 | + | 0.757390i | \(0.726474\pi\) | |||||||
\(390\) | −12.5049 | − | 10.5498i | −0.633209 | − | 0.534212i | ||||
\(391\) | −0.540012 | − | 0.453124i | −0.0273096 | − | 0.0229155i | ||||
\(392\) | 0.977141 | − | 19.7749i | 0.0493531 | − | 0.998781i | ||||
\(393\) | 25.0229 | − | 21.4005i | 1.26224 | − | 1.07951i | ||||
\(394\) | −9.46355 | − | 8.13744i | −0.476767 | − | 0.409958i | ||||
\(395\) | −12.9478 | −0.651476 | ||||||||
\(396\) | −8.82933 | + | 5.03496i | −0.443691 | + | 0.253017i | ||||
\(397\) | − | 22.2313i | − | 1.11576i | −0.829922 | − | 0.557879i | \(-0.811615\pi\) | ||
0.829922 | − | 0.557879i | \(-0.188385\pi\) | |||||||
\(398\) | −16.4862 | + | 5.77618i | −0.826377 | + | 0.289534i | ||||
\(399\) | −11.4259 | + | 1.03198i | −0.572010 | + | 0.0516638i | ||||
\(400\) | −4.07037 | + | 6.32439i | −0.203518 | + | 0.316219i | ||||
\(401\) | 10.0272 | + | 8.41378i | 0.500732 | + | 0.420164i | 0.857854 | − | 0.513894i | \(-0.171797\pi\) |
−0.357122 | + | 0.934058i | \(0.616242\pi\) | |||||||
\(402\) | 0.0307650 | − | 11.5259i | 0.00153442 | − | 0.574858i | ||||
\(403\) | 6.11768 | − | 16.8082i | 0.304743 | − | 0.837275i | ||||
\(404\) | 25.4457 | + | 5.12273i | 1.26597 | + | 0.254865i | ||||
\(405\) | 10.6685 | + | 11.7849i | 0.530120 | + | 0.585595i | ||||
\(406\) | 18.8580 | + | 5.43195i | 0.935907 | + | 0.269583i | ||||
\(407\) | −7.91403 | − | 9.43157i | −0.392284 | − | 0.467506i | ||||
\(408\) | −0.351503 | + | 0.396805i | −0.0174020 | + | 0.0196448i | ||||
\(409\) | 1.74458 | + | 4.79319i | 0.0862638 | + | 0.237008i | 0.975322 | − | 0.220786i | \(-0.0708621\pi\) |
−0.889059 | + | 0.457793i | \(0.848640\pi\) | |||||||
\(410\) | 5.03420 | − | 8.48148i | 0.248621 | − | 0.418871i | ||||
\(411\) | 2.38119 | − | 4.21533i | 0.117456 | − | 0.207927i | ||||
\(412\) | −12.0722 | − | 22.1260i | −0.594754 | − | 1.09007i | ||||
\(413\) | 1.23589 | − | 2.60542i | 0.0608140 | − | 0.128204i | ||||
\(414\) | 17.6235 | − | 21.2922i | 0.866150 | − | 1.04645i | ||||
\(415\) | 13.0178 | − | 7.51585i | 0.639020 | − | 0.368938i | ||||
\(416\) | 17.8470 | + | 11.7932i | 0.875020 | + | 0.578211i | ||||
\(417\) | −25.9673 | − | 9.17592i | −1.27162 | − | 0.449347i | ||||
\(418\) | 5.22986 | − | 2.93590i | 0.255801 | − | 0.143600i | ||||
\(419\) | 1.98970 | + | 1.66955i | 0.0972030 | + | 0.0815630i | 0.690094 | − | 0.723720i | \(-0.257569\pi\) |
−0.592891 | + | 0.805283i | \(0.702014\pi\) | |||||||
\(420\) | 13.4556 | − | 9.00034i | 0.656565 | − | 0.439172i | ||||
\(421\) | 4.62605 | + | 1.68374i | 0.225460 | + | 0.0820607i | 0.452280 | − | 0.891876i | \(-0.350611\pi\) |
−0.226820 | + | 0.973937i | \(0.572833\pi\) | |||||||
\(422\) | −2.87471 | − | 3.51112i | −0.139939 | − | 0.170919i | ||||
\(423\) | −5.52207 | − | 4.45945i | −0.268492 | − | 0.216826i | ||||
\(424\) | 6.30370 | + | 0.228278i | 0.306135 | + | 0.0110862i | ||||
\(425\) | −0.0695862 | + | 0.191187i | −0.00337543 | + | 0.00927391i | ||||
\(426\) | 12.4023 | − | 33.7941i | 0.600894 | − | 1.63733i | ||||
\(427\) | −0.301102 | − | 0.0283429i | −0.0145713 | − | 0.00137161i | ||||
\(428\) | 11.1297 | − | 1.68666i | 0.537974 | − | 0.0815277i | ||||
\(429\) | 8.56619 | + | 7.05179i | 0.413580 | + | 0.340464i | ||||
\(430\) | 0.455378 | − | 2.41202i | 0.0219603 | − | 0.116318i | ||||
\(431\) | −32.3745 | + | 18.6914i | −1.55942 | + | 0.900334i | −0.562111 | + | 0.827062i | \(0.690011\pi\) |
−0.997312 | + | 0.0732720i | \(0.976656\pi\) | |||||||
\(432\) | −15.6506 | − | 13.6770i | −0.752988 | − | 0.658034i | ||||
\(433\) | − | 19.7924i | − | 0.951160i | −0.879672 | − | 0.475580i | \(-0.842238\pi\) | ||
0.879672 | − | 0.475580i | \(-0.157762\pi\) | |||||||
\(434\) | 14.3058 | + | 10.4200i | 0.686700 | + | 0.500177i | ||||
\(435\) | 5.62941 | + | 15.0258i | 0.269910 | + | 0.720434i | ||||
\(436\) | −3.30826 | − | 1.29534i | −0.158437 | − | 0.0620354i | ||||
\(437\) | −10.4835 | + | 12.4938i | −0.501495 | + | 0.597659i | ||||
\(438\) | 12.1832 | − | 33.1970i | 0.582134 | − | 1.58621i | ||||
\(439\) | −10.1146 | − | 3.68141i | −0.482743 | − | 0.175704i | 0.0891733 | − | 0.996016i | \(-0.471577\pi\) |
−0.571916 | + | 0.820312i | \(0.693800\pi\) | |||||||
\(440\) | −4.49393 | + | 7.17117i | −0.214240 | + | 0.341872i | ||||
\(441\) | 20.6602 | − | 3.76273i | 0.983817 | − | 0.179178i | ||||
\(442\) | 0.541350 | + | 0.204465i | 0.0257494 | + | 0.00972542i | ||||
\(443\) | 6.98363 | + | 8.32276i | 0.331802 | + | 0.395426i | 0.905991 | − | 0.423296i | \(-0.139127\pi\) |
−0.574189 | + | 0.818723i | \(0.694683\pi\) | |||||||
\(444\) | 12.9084 | − | 21.6161i | 0.612607 | − | 1.02586i | ||||
\(445\) | −4.46941 | + | 25.3473i | −0.211870 | + | 1.20158i | ||||
\(446\) | 12.6934 | + | 22.6113i | 0.601050 | + | 1.07068i | ||||
\(447\) | −5.61285 | − | 30.1714i | −0.265479 | − | 1.42706i | ||||
\(448\) | −16.1008 | + | 13.7391i | −0.760694 | + | 0.649111i | ||||
\(449\) | 17.2078 | − | 29.8049i | 0.812089 | − | 1.40658i | −0.0993112 | − | 0.995056i | \(-0.531664\pi\) |
0.911400 | − | 0.411522i | \(-0.135003\pi\) | |||||||
\(450\) | −7.51435 | − | 2.67789i | −0.354230 | − | 0.126237i | ||||
\(451\) | −3.34442 | + | 5.79270i | −0.157482 | + | 0.272767i | ||||
\(452\) | −11.1734 | + | 18.3175i | −0.525554 | + | 0.861583i | ||||
\(453\) | 0.295115 | + | 31.4055i | 0.0138657 | + | 1.47556i | ||||
\(454\) | 10.8779 | + | 19.3773i | 0.510526 | + | 0.909424i | ||||
\(455\) | −14.4086 | − | 10.2311i | −0.675485 | − | 0.479642i | ||||
\(456\) | 9.18054 | + | 8.13242i | 0.429918 | + | 0.380835i | ||||
\(457\) | −3.70174 | − | 20.9936i | −0.173160 | − | 0.982039i | −0.940246 | − | 0.340495i | \(-0.889405\pi\) |
0.767086 | − | 0.641544i | \(-0.221706\pi\) | |||||||
\(458\) | 8.08604 | + | 9.87616i | 0.377836 | + | 0.461483i | ||||
\(459\) | −0.494661 | − | 0.267293i | −0.0230888 | − | 0.0124762i | ||||
\(460\) | 4.54197 | − | 22.5610i | 0.211771 | − | 1.05191i | ||||
\(461\) | 21.4736 | + | 25.5913i | 1.00013 | + | 1.19190i | 0.981379 | + | 0.192080i | \(0.0615233\pi\) |
0.0187472 | + | 0.999824i | \(0.494032\pi\) | |||||||
\(462\) | −9.05091 | + | 6.21345i | −0.421087 | + | 0.289076i | ||||
\(463\) | 9.18813 | + | 1.62011i | 0.427008 | + | 0.0752931i | 0.383022 | − | 0.923739i | \(-0.374883\pi\) |
0.0439860 | + | 0.999032i | \(0.485994\pi\) | |||||||
\(464\) | −9.60109 | − | 18.6539i | −0.445720 | − | 0.865986i | ||||
\(465\) | 0.135974 | + | 14.4701i | 0.00630565 | + | 0.671033i | ||||
\(466\) | 27.7936 | + | 23.8989i | 1.28751 | + | 1.10710i | ||||
\(467\) | 12.9199 | 0.597862 | 0.298931 | − | 0.954275i | \(-0.403370\pi\) | ||||
0.298931 | + | 0.954275i | \(0.403370\pi\) | |||||||
\(468\) | −7.87383 | + | 21.2790i | −0.363968 | + | 0.983623i | ||||
\(469\) | −1.00331 | − | 12.4089i | −0.0463287 | − | 0.572990i | ||||
\(470\) | −5.80733 | − | 1.09640i | −0.267872 | − | 0.0505730i | ||||
\(471\) | 2.37359 | + | 2.77535i | 0.109369 | + | 0.127881i | ||||
\(472\) | −2.93313 | + | 0.948847i | −0.135008 | + | 0.0436742i | ||||
\(473\) | −0.289067 | + | 1.63938i | −0.0132913 | + | 0.0753787i | ||||
\(474\) | 6.09630 | + | 16.8896i | 0.280013 | + | 0.775765i | ||||
\(475\) | 4.42331 | + | 1.60995i | 0.202956 | + | 0.0738698i | ||||
\(476\) | −0.342668 | + | 0.458719i | −0.0157061 | + | 0.0210253i | ||||
\(477\) | 1.28540 | + | 6.56583i | 0.0588545 | + | 0.300629i | ||||
\(478\) | 27.0231 | − | 4.42941i | 1.23601 | − | 0.202596i | ||||
\(479\) | −32.9557 | + | 27.6531i | −1.50579 | + | 1.26350i | −0.634296 | + | 0.773091i | \(0.718710\pi\) |
−0.871490 | + | 0.490413i | \(0.836846\pi\) | |||||||
\(480\) | −16.8679 | − | 3.86892i | −0.769912 | − | 0.176591i | ||||
\(481\) | −27.0665 | − | 4.77255i | −1.23412 | − | 0.217609i | ||||
\(482\) | −0.343950 | + | 28.5047i | −0.0156665 | + | 1.29835i | ||||
\(483\) | 17.0549 | − | 24.5031i | 0.776024 | − | 1.11493i | ||||
\(484\) | −8.46776 | + | 13.8819i | −0.384898 | + | 0.630994i | ||||
\(485\) | 11.4668 | − | 19.8611i | 0.520682 | − | 0.901847i | ||||
\(486\) | 10.3495 | − | 19.4651i | 0.469462 | − | 0.882953i | ||||
\(487\) | −7.33423 | + | 4.23442i | −0.332346 | + | 0.191880i | −0.656882 | − | 0.753993i | \(-0.728125\pi\) |
0.324536 | + | 0.945873i | \(0.394792\pi\) | |||||||
\(488\) | 0.198723 | + | 0.255032i | 0.00899576 | + | 0.0115447i | ||||
\(489\) | 24.9183 | − | 30.2697i | 1.12685 | − | 1.36884i | ||||
\(490\) | 13.6739 | − | 10.8977i | 0.617724 | − | 0.492307i | ||||
\(491\) | 10.2148 | + | 28.0648i | 0.460985 | + | 1.26655i | 0.924745 | + | 0.380586i | \(0.124278\pi\) |
−0.463760 | + | 0.885961i | \(0.653500\pi\) | |||||||
\(492\) | −13.4338 | − | 2.57339i | −0.605643 | − | 0.116018i | ||||
\(493\) | −0.364806 | − | 0.434759i | −0.0164300 | − | 0.0195806i | ||||
\(494\) | 4.73053 | − | 12.5247i | 0.212837 | − | 0.563514i | ||||
\(495\) | −8.49115 | − | 2.91102i | −0.381649 | − | 0.130840i | ||||
\(496\) | −2.38272 | − | 18.7697i | −0.106987 | − | 0.842785i | ||||
\(497\) | 10.3107 | − | 37.4904i | 0.462498 | − | 1.68167i | ||||
\(498\) | −15.9332 | − | 13.4422i | −0.713983 | − | 0.602358i | ||||
\(499\) | 5.16294 | + | 14.1851i | 0.231125 | + | 0.635010i | 0.999990 | − | 0.00440031i | \(-0.00140067\pi\) |
−0.768865 | + | 0.639411i | \(0.779178\pi\) | |||||||
\(500\) | −24.0305 | + | 3.64172i | −1.07468 | + | 0.162863i | ||||
\(501\) | −1.94022 | − | 10.4295i | −0.0866829 | − | 0.465956i | ||||
\(502\) | −19.7840 | − | 17.0117i | −0.883003 | − | 0.759270i | ||||
\(503\) | −14.6175 | + | 25.3182i | −0.651760 | + | 1.12888i | 0.330935 | + | 0.943654i | \(0.392636\pi\) |
−0.982695 | + | 0.185229i | \(0.940697\pi\) | |||||||
\(504\) | −18.0757 | − | 13.3142i | −0.805156 | − | 0.593063i | ||||
\(505\) | 11.4615 | + | 19.8519i | 0.510029 | + | 0.883397i | ||||
\(506\) | −2.89542 | + | 15.3363i | −0.128717 | + | 0.681782i | ||||
\(507\) | 2.25128 | − | 0.0211551i | 0.0999830 | − | 0.000939533i | ||||
\(508\) | −11.5081 | + | 29.3915i | −0.510591 | + | 1.30404i | ||||
\(509\) | 18.7808 | − | 22.3821i | 0.832443 | − | 0.992067i | −0.167537 | − | 0.985866i | \(-0.553581\pi\) |
0.999981 | − | 0.00620171i | \(-0.00197408\pi\) | |||||||
\(510\) | −0.468153 | − | 0.00124960i | −0.0207302 | − | 5.53332e-5i | ||||
\(511\) | 10.1285 | − | 36.8279i | 0.448059 | − | 1.62917i | ||||
\(512\) | 22.4941 | + | 2.45234i | 0.994110 | + | 0.108379i | ||||
\(513\) | −6.18412 | + | 11.4445i | −0.273036 | + | 0.505289i | ||||
\(514\) | 5.34209 | + | 6.52474i | 0.235629 | + | 0.287794i | ||||
\(515\) | 7.61325 | − | 20.9172i | 0.335480 | − | 0.921723i | ||||
\(516\) | −3.36073 | + | 0.541656i | −0.147948 | + | 0.0238451i | ||||
\(517\) | 3.94707 | + | 0.695975i | 0.173592 | + | 0.0306089i | ||||
\(518\) | 11.9505 | − | 24.4278i | 0.525077 | − | 1.07330i | ||||
\(519\) | −0.942210 | + | 0.555855i | −0.0413584 | + | 0.0243993i | ||||
\(520\) | 2.60506 | + | 18.7112i | 0.114239 | + | 0.820540i | ||||
\(521\) | −22.7469 | − | 13.1329i | −0.996560 | − | 0.575364i | −0.0893315 | − | 0.996002i | \(-0.528473\pi\) |
−0.907229 | + | 0.420638i | \(0.861806\pi\) | |||||||
\(522\) | 16.9497 | − | 14.4179i | 0.741868 | − | 0.631054i | ||||
\(523\) | 13.6222 | + | 23.5943i | 0.595656 | + | 1.03171i | 0.993454 | + | 0.114234i | \(0.0364412\pi\) |
−0.397798 | + | 0.917473i | \(0.630225\pi\) | |||||||
\(524\) | −38.0087 | − | 0.917392i | −1.66042 | − | 0.0400765i | ||||
\(525\) | −8.32905 | − | 2.20671i | −0.363509 | − | 0.0963085i | ||||
\(526\) | −25.2100 | − | 14.9634i | −1.09921 | − | 0.652436i | ||||
\(527\) | −0.175055 | − | 0.480961i | −0.00762554 | − | 0.0209510i | ||||
\(528\) | 11.4702 | + | 2.48559i | 0.499177 | + | 0.108171i | ||||
\(529\) | −3.37597 | − | 19.1461i | −0.146781 | − | 0.832439i | ||||
\(530\) | 3.52903 | + | 4.31030i | 0.153291 | + | 0.187227i | ||||
\(531\) | −1.68782 | − | 2.80049i | −0.0732451 | − | 0.121531i | ||||
\(532\) | 10.6130 | + | 7.92799i | 0.460131 | + | 0.343722i | ||||
\(533\) | 2.59281 | + | 14.7045i | 0.112307 | + | 0.636924i | ||||
\(534\) | 35.1682 | − | 6.10436i | 1.52188 | − | 0.264162i | ||||
\(535\) | 7.61548 | + | 6.39015i | 0.329246 | + | 0.276270i | ||||
\(536\) | −8.91820 | + | 9.87899i | −0.385208 | + | 0.426707i | ||||
\(537\) | −11.7299 | − | 1.95484i | −0.506183 | − | 0.0843574i | ||||
\(538\) | 5.98763 | − | 6.96340i | 0.258145 | − | 0.300213i | ||||
\(539\) | −9.18344 | + | 7.50187i | −0.395559 | + | 0.323129i | ||||
\(540\) | −0.0744918 | − | 18.3556i | −0.00320562 | − | 0.789898i | ||||
\(541\) | −14.4411 | + | 25.0128i | −0.620873 | + | 1.07538i | 0.368450 | + | 0.929647i | \(0.379888\pi\) |
−0.989323 | + | 0.145736i | \(0.953445\pi\) | |||||||
\(542\) | 2.55386 | − | 13.5271i | 0.109698 | − | 0.581040i | ||||
\(543\) | 15.8344 | + | 42.2647i | 0.679520 | + | 1.81375i | ||||
\(544\) | 0.608123 | − | 0.0697534i | 0.0260731 | − | 0.00299065i | ||||
\(545\) | −1.07313 | − | 2.94841i | −0.0459680 | − | 0.126296i | ||||
\(546\) | −6.56174 | + | 23.6122i | −0.280816 | + | 1.01051i | ||||
\(547\) | −30.3782 | + | 5.35649i | −1.29888 | + | 0.229027i | −0.779977 | − | 0.625808i | \(-0.784769\pi\) |
−0.518900 | + | 0.854835i | \(0.673658\pi\) | |||||||
\(548\) | −5.29782 | + | 1.78470i | −0.226312 | + | 0.0762387i | ||||
\(549\) | −0.215453 | + | 0.266793i | −0.00919532 | + | 0.0113864i | ||||
\(550\) | 4.44519 | − | 0.728619i | 0.189544 | − | 0.0310684i | ||||
\(551\) | −10.0586 | + | 8.44019i | −0.428512 | + | 0.359564i | ||||
\(552\) | −31.5678 | + | 4.69780i | −1.34361 | + | 0.199952i | ||||
\(553\) | 8.08064 | + | 17.6313i | 0.343624 | + | 0.749760i | ||||
\(554\) | 1.77096 | − | 2.98367i | 0.0752411 | − | 0.126764i | ||||
\(555\) | 21.8598 | − | 4.06663i | 0.927898 | − | 0.172619i | ||||
\(556\) | 15.2315 | + | 27.9165i | 0.645961 | + | 1.18392i | ||||
\(557\) | −19.3125 | −0.818299 | −0.409149 | − | 0.912467i | \(-0.634175\pi\) | ||||
−0.409149 | + | 0.912467i | \(0.634175\pi\) | |||||||
\(558\) | 18.8112 | − | 6.99039i | 0.796342 | − | 0.295927i | ||||
\(559\) | 1.85801 | + | 3.21816i | 0.0785854 | + | 0.136114i | ||||
\(560\) | −18.5041 | − | 2.64761i | −0.781941 | − | 0.111882i | ||||
\(561\) | 0.317477 | − | 0.00298330i | 0.0134039 | − | 0.000125955i | ||||
\(562\) | −1.41152 | − | 0.0170320i | −0.0595415 | − | 0.000718453i | ||||
\(563\) | 33.8191 | − | 12.3092i | 1.42531 | − | 0.518769i | 0.489724 | − | 0.871877i | \(-0.337097\pi\) |
0.935583 | + | 0.353108i | \(0.114875\pi\) | |||||||
\(564\) | 1.30413 | + | 8.09151i | 0.0549136 | + | 0.340714i | ||||
\(565\) | −18.6611 | + | 3.29046i | −0.785079 | + | 0.138431i | ||||
\(566\) | 0.976448 | + | 5.95716i | 0.0410432 | + | 0.250398i | ||||
\(567\) | 9.38958 | − | 21.8823i | 0.394325 | − | 0.918971i | ||||
\(568\) | −36.7266 | + | 19.4671i | −1.54102 | + | 0.816822i | ||||
\(569\) | 2.17002 | + | 12.3068i | 0.0909721 | + | 0.515928i | 0.995907 | + | 0.0903793i | \(0.0288079\pi\) |
−0.904935 | + | 0.425549i | \(0.860081\pi\) | |||||||
\(570\) | −0.0289109 | + | 10.8313i | −0.00121094 | + | 0.453671i | ||||
\(571\) | −5.62898 | − | 15.4655i | −0.235565 | − | 0.647211i | −0.999997 | − | 0.00250574i | \(-0.999202\pi\) |
0.764431 | − | 0.644705i | \(-0.223020\pi\) | |||||||
\(572\) | −1.91966 | − | 12.6672i | −0.0802650 | − | 0.529642i | ||||
\(573\) | 0.0439504 | + | 4.67710i | 0.00183605 | + | 0.195389i | ||||
\(574\) | −14.6912 | − | 1.56194i | −0.613199 | − | 0.0651941i | ||||
\(575\) | −10.6082 | + | 6.12466i | −0.442393 | + | 0.255416i | ||||
\(576\) | 2.89528 | + | 23.8247i | 0.120637 | + | 0.992697i | ||||
\(577\) | 34.3948i | 1.43187i | 0.698165 | + | 0.715937i | \(0.254000\pi\) | ||||
−0.698165 | + | 0.715937i | \(0.746000\pi\) | |||||||
\(578\) | −22.6737 | + | 7.94407i | −0.943101 | + | 0.330430i | ||||
\(579\) | 5.82480 | + | 31.3107i | 0.242070 | + | 1.30123i | ||||
\(580\) | 6.75523 | − | 17.2527i | 0.280495 | − | 0.716379i | ||||
\(581\) | −18.3588 | − | 13.0361i | −0.761652 | − | 0.540827i | ||||
\(582\) | −31.3065 | − | 5.60639i | −1.29770 | − | 0.232392i | ||||
\(583\) | −2.42839 | − | 2.89404i | −0.100574 | − | 0.119859i | ||||
\(584\) | −36.0777 | + | 19.1231i | −1.49290 | + | 0.791321i | ||||
\(585\) | −18.6971 | + | 7.20590i | −0.773030 | + | 0.297927i | ||||
\(586\) | 16.0981 | − | 2.63867i | 0.665006 | − | 0.109002i | ||||
\(587\) | 2.97760 | + | 16.8868i | 0.122899 | + | 0.696994i | 0.982534 | + | 0.186085i | \(0.0595800\pi\) |
−0.859635 | + | 0.510909i | \(0.829309\pi\) | |||||||
\(588\) | −20.6535 | − | 12.7057i | −0.851735 | − | 0.523973i | ||||
\(589\) | −11.1276 | + | 4.05010i | −0.458503 | + | 0.166882i | ||||
\(590\) | −2.34118 | − | 1.38961i | −0.0963850 | − | 0.0572095i | ||||
\(591\) | −14.3145 | + | 5.36290i | −0.588819 | + | 0.220600i | ||||
\(592\) | −27.7666 | + | 8.61364i | −1.14120 | + | 0.354018i | ||||
\(593\) | 35.4415 | + | 20.4622i | 1.45541 | + | 0.840281i | 0.998780 | − | 0.0493770i | \(-0.0157236\pi\) |
0.456628 | + | 0.889658i | \(0.349057\pi\) | |||||||
\(594\) | 0.200710 | + | 12.4468i | 0.00823523 | + | 0.510697i | ||||
\(595\) | −0.504020 | + | 0.0407522i | −0.0206628 | + | 0.00167068i | ||||
\(596\) | −18.4537 | + | 30.2526i | −0.755892 | + | 1.23919i | ||||
\(597\) | −3.51702 | + | 21.1037i | −0.143942 | + | 0.863718i | ||||
\(598\) | 17.0546 | + | 30.3801i | 0.697414 | + | 1.24234i | ||||
\(599\) | −28.7469 | + | 34.2592i | −1.17456 | + | 1.39979i | −0.275883 | + | 0.961191i | \(0.588970\pi\) |
−0.898682 | + | 0.438600i | \(0.855474\pi\) | |||||||
\(600\) | 4.39024 | + | 8.09781i | 0.179231 | + | 0.330592i | ||||
\(601\) | 19.7867 | − | 3.48893i | 0.807116 | − | 0.142316i | 0.245159 | − | 0.969483i | \(-0.421160\pi\) |
0.561957 | + | 0.827167i | \(0.310049\pi\) | |||||||
\(602\) | −3.56870 | + | 0.885228i | −0.145449 | + | 0.0360792i | ||||
\(603\) | −12.3556 | − | 6.82717i | −0.503157 | − | 0.278024i | ||||
\(604\) | 23.9746 | − | 27.2105i | 0.975513 | − | 1.10718i | ||||
\(605\) | −14.1423 | + | 2.49366i | −0.574965 | + | 0.101382i | ||||
\(606\) | 20.4990 | − | 24.2977i | 0.832714 | − | 0.987028i | ||||
\(607\) | 35.7658 | − | 13.0177i | 1.45169 | − | 0.528372i | 0.508627 | − | 0.860987i | \(-0.330153\pi\) |
0.943063 | + | 0.332615i | \(0.107931\pi\) | |||||||
\(608\) | −1.61382 | − | 14.0696i | −0.0654491 | − | 0.570598i | ||||
\(609\) | 16.9477 | − | 17.0432i | 0.686756 | − | 0.690625i | ||||
\(610\) | −0.0529712 | + | 0.280575i | −0.00214474 | + | 0.0113601i | ||||
\(611\) | 7.74825 | − | 4.47345i | 0.313461 | − | 0.180977i | ||||
\(612\) | 0.218793 | + | 0.611264i | 0.00884420 | + | 0.0247089i | ||||
\(613\) | −15.2007 | + | 26.3284i | −0.613950 | + | 1.06339i | 0.376618 | + | 0.926369i | \(0.377087\pi\) |
−0.990568 | + | 0.137024i | \(0.956246\pi\) | |||||||
\(614\) | 8.23901 | − | 43.6400i | 0.332500 | − | 1.76117i | ||||
\(615\) | −6.13786 | − | 10.4041i | −0.247502 | − | 0.419533i | ||||
\(616\) | 12.5698 | + | 1.64400i | 0.506450 | + | 0.0662386i | ||||
\(617\) | −7.33489 | + | 41.5982i | −0.295292 | + | 1.67468i | 0.370723 | + | 0.928744i | \(0.379110\pi\) |
−0.666014 | + | 0.745939i | \(0.732001\pi\) | |||||||
\(618\) | −30.8697 | − | 0.0823977i | −1.24176 | − | 0.00331452i | ||||
\(619\) | −15.1013 | − | 5.49641i | −0.606971 | − | 0.220919i | 0.0202064 | − | 0.999796i | \(-0.493568\pi\) |
−0.627177 | + | 0.778876i | \(0.715790\pi\) | |||||||
\(620\) | 11.0463 | − | 12.5372i | 0.443629 | − | 0.503506i | ||||
\(621\) | −12.4699 | − | 31.4710i | −0.500399 | − | 1.26289i | ||||
\(622\) | 1.52260 | + | 9.28913i | 0.0610506 | + | 0.372460i | ||||
\(623\) | 37.3053 | − | 9.73297i | 1.49460 | − | 0.389943i | ||||
\(624\) | 23.1809 | − | 12.2080i | 0.927981 | − | 0.488712i | ||||
\(625\) | −9.24107 | − | 7.75418i | −0.369643 | − | 0.310167i | ||||
\(626\) | −8.94772 | − | 5.31093i | −0.357623 | − | 0.212268i | ||||
\(627\) | −0.0690221 | − | 7.34518i | −0.00275648 | − | 0.293338i | ||||
\(628\) | 0.101750 | − | 4.21564i | 0.00406028 | − | 0.168222i | ||||
\(629\) | −0.681083 | + | 0.393223i | −0.0271565 | + | 0.0156788i | ||||
\(630\) | −1.73075 | − | 19.7508i | −0.0689546 | − | 0.786889i | ||||
\(631\) | 35.3737 | + | 20.4230i | 1.40820 | + | 0.813027i | 0.995215 | − | 0.0977095i | \(-0.0311516\pi\) |
0.412989 | + | 0.910736i | \(0.364485\pi\) | |||||||
\(632\) | 7.79189 | − | 19.2142i | 0.309945 | − | 0.764298i | ||||
\(633\) | −5.46394 | + | 1.01647i | −0.217172 | + | 0.0404010i | ||||
\(634\) | 22.8892 | + | 0.276191i | 0.909047 | + | 0.0109690i | ||||
\(635\) | −26.1945 | + | 9.53402i | −1.03950 | + | 0.378346i | ||||
\(636\) | 3.96091 | − | 6.63283i | 0.157060 | − | 0.263009i | ||||
\(637\) | −4.93963 | + | 26.0056i | −0.195715 | + | 1.03038i | ||||
\(638\) | −4.43971 | + | 11.7547i | −0.175770 | + | 0.465375i | ||||
\(639\) | −28.9692 | − | 33.2352i | −1.14600 | − | 1.31476i | ||||
\(640\) | 11.5078 | + | 16.3370i | 0.454884 | + | 0.645778i | ||||
\(641\) | 3.68277 | − | 3.09021i | 0.145461 | − | 0.122056i | −0.567154 | − | 0.823612i | \(-0.691955\pi\) |
0.712614 | + | 0.701556i | \(0.247511\pi\) | |||||||
\(642\) | 4.74989 | − | 12.9426i | 0.187463 | − | 0.510804i | ||||
\(643\) | −19.5211 | + | 7.10510i | −0.769837 | + | 0.280198i | −0.696928 | − | 0.717141i | \(-0.745450\pi\) |
−0.0729089 | + | 0.997339i | \(0.523228\pi\) | |||||||
\(644\) | −33.5563 | + | 7.89522i | −1.32230 | + | 0.311115i | ||||
\(645\) | −2.32102 | − | 1.91069i | −0.0913899 | − | 0.0752332i | ||||
\(646\) | −0.126676 | − | 0.361553i | −0.00498398 | − | 0.0142251i | ||||
\(647\) | −15.5846 | − | 26.9933i | −0.612694 | − | 1.06122i | −0.990784 | − | 0.135448i | \(-0.956753\pi\) |
0.378091 | − | 0.925769i | \(-0.376581\pi\) | |||||||
\(648\) | −23.9086 | + | 8.73963i | −0.939217 | + | 0.343325i | ||||
\(649\) | 1.59899 | + | 0.923175i | 0.0627657 | + | 0.0362378i | ||||
\(650\) | 6.55593 | − | 7.62430i | 0.257145 | − | 0.299050i | ||||
\(651\) | 19.6193 | − | 9.21581i | 0.768941 | − | 0.361196i | ||||
\(652\) | −44.7611 | + | 6.78335i | −1.75298 | + | 0.265656i | ||||
\(653\) | 0.263709 | − | 1.49557i | 0.0103197 | − | 0.0585261i | −0.979213 | − | 0.202835i | \(-0.934985\pi\) |
0.989533 | + | 0.144308i | \(0.0460957\pi\) | |||||||
\(654\) | −3.34074 | + | 2.78805i | −0.130633 | + | 0.109021i | ||||
\(655\) | −21.5827 | − | 25.7213i | −0.843307 | − | 1.00501i | ||||
\(656\) | 9.55671 | + | 12.5747i | 0.373127 | + | 0.490958i | ||||
\(657\) | −28.4573 | − | 32.6479i | −1.11023 | − | 1.27372i | ||||
\(658\) | 2.13133 | + | 8.59222i | 0.0830879 | + | 0.334960i | ||||
\(659\) | 12.9947 | − | 35.7026i | 0.506201 | − | 1.39077i | −0.378927 | − | 0.925427i | \(-0.623707\pi\) |
0.885128 | − | 0.465348i | \(-0.154071\pi\) | |||||||
\(660\) | 5.04964 | + | 9.05167i | 0.196557 | + | 0.352336i | ||||
\(661\) | 22.2316 | + | 3.92003i | 0.864708 | + | 0.152471i | 0.588373 | − | 0.808590i | \(-0.299769\pi\) |
0.276336 | + | 0.961061i | \(0.410880\pi\) | |||||||
\(662\) | −0.182886 | + | 15.1566i | −0.00710805 | + | 0.589077i | ||||
\(663\) | 0.538614 | − | 0.460644i | 0.0209180 | − | 0.0178899i | ||||
\(664\) | 3.31926 | + | 23.8410i | 0.128812 | + | 0.925211i | ||||
\(665\) | 0.942847 | + | 11.6611i | 0.0365620 | + | 0.452197i | ||||
\(666\) | −15.5970 | − | 26.6000i | −0.604373 | − | 1.03073i | ||||
\(667\) | − | 34.1692i | − | 1.32304i | ||||||
\(668\) | −6.37898 | + | 10.4576i | −0.246810 | + | 0.404616i | ||||
\(669\) | 31.7569 | − | 0.298418i | 1.22779 | − | 0.0115375i | ||||
\(670\) | −11.7528 | − | 0.141815i | −0.454052 | − | 0.00547878i | ||||
\(671\) | 0.0336253 | − | 0.190698i | 0.00129809 | − | 0.00736183i | ||||
\(672\) | 5.25876 | + | 25.3840i | 0.202861 | + | 0.979208i | ||||
\(673\) | −0.668181 | + | 0.560670i | −0.0257565 | + | 0.0216123i | −0.655575 | − | 0.755130i | \(-0.727574\pi\) |
0.629819 | + | 0.776742i | \(0.283129\pi\) | |||||||
\(674\) | −30.6976 | − | 11.5943i | −1.18243 | − | 0.446597i | ||||
\(675\) | −7.30434 | + | 6.48856i | −0.281144 | + | 0.249745i | ||||
\(676\) | −1.95056 | − | 1.71860i | −0.0750217 | − | 0.0661001i | ||||
\(677\) | 31.7133 | − | 5.59191i | 1.21884 | − | 0.214914i | 0.473014 | − | 0.881055i | \(-0.343166\pi\) |
0.745826 | + | 0.666141i | \(0.232055\pi\) | |||||||
\(678\) | 13.0785 | + | 22.7929i | 0.502277 | + | 0.875357i | ||||
\(679\) | −34.2017 | − | 3.21943i | −1.31254 | − | 0.123550i | ||||
\(680\) | 0.401261 | + | 0.362236i | 0.0153877 | + | 0.0138911i | ||||
\(681\) | 27.2149 | − | 0.255736i | 1.04288 | − | 0.00979984i | ||||
\(682\) | −7.38817 | + | 8.59217i | −0.282908 | + | 0.329011i | ||||
\(683\) | −32.1921 | − | 18.5861i | −1.23180 | − | 0.711179i | −0.264394 | − | 0.964415i | \(-0.585172\pi\) |
−0.967405 | + | 0.253236i | \(0.918505\pi\) | |||||||
\(684\) | 14.1423 | − | 5.06203i | 0.540743 | − | 0.193552i | ||||
\(685\) | −4.27563 | − | 2.46853i | −0.163363 | − | 0.0943178i | ||||
\(686\) | −23.3734 | − | 11.8189i | −0.892399 | − | 0.451246i | ||||
\(687\) | 15.3691 | − | 2.85915i | 0.586368 | − | 0.109083i | ||||
\(688\) | 3.30532 | + | 2.12730i | 0.126014 | + | 0.0811026i | ||||
\(689\) | −8.30524 | − | 1.46444i | −0.316405 | − | 0.0557907i | ||||
\(690\) | −21.5431 | − | 18.1750i | −0.820133 | − | 0.691912i | ||||
\(691\) | −6.66864 | + | 5.59565i | −0.253687 | + | 0.212869i | −0.760758 | − | 0.649036i | \(-0.775173\pi\) |
0.507071 | + | 0.861904i | \(0.330728\pi\) | |||||||
\(692\) | 1.23834 | + | 0.249303i | 0.0470747 | + | 0.00947709i | ||||
\(693\) | 1.33527 | + | 13.3793i | 0.0507229 | + | 0.508238i | ||||
\(694\) | −0.0696559 | − | 0.0850766i | −0.00264410 | − | 0.00322946i | ||||
\(695\) | −9.60567 | + | 26.3914i | −0.364364 | + | 1.00108i | ||||
\(696\) | −25.6856 | − | 0.688562i | −0.973610 | − | 0.0260999i | ||||
\(697\) | 0.327298 | + | 0.274635i | 0.0123973 | + | 0.0104026i | ||||
\(698\) | 10.6997 | + | 6.35085i | 0.404991 | + | 0.240383i | ||||
\(699\) | 42.0403 | − | 15.7503i | 1.59011 | − | 0.595732i | ||||
\(700\) | 5.45371 | + | 8.32149i | 0.206131 | + | 0.314523i | ||||
\(701\) | −22.7327 | −0.858601 | −0.429301 | − | 0.903162i | \(-0.641240\pi\) | ||||
−0.429301 | + | 0.903162i | \(0.641240\pi\) | |||||||
\(702\) | 18.2029 | + | 20.9963i | 0.687024 | + | 0.792455i | ||||
\(703\) | 9.09766 | + | 15.7576i | 0.343125 | + | 0.594309i | ||||
\(704\) | −7.93737 | − | 10.9844i | −0.299151 | − | 0.413990i | ||||
\(705\) | −4.60029 | + | 5.58822i | −0.173257 | + | 0.210464i | ||||
\(706\) | 0.0804911 | − | 6.67066i | 0.00302932 | − | 0.251053i | ||||
\(707\) | 19.8797 | − | 27.9967i | 0.747652 | − | 1.05293i | ||||
\(708\) | −0.710346 | + | 3.70820i | −0.0266964 | + | 0.139363i | ||||
\(709\) | −41.8617 | − | 15.2364i | −1.57215 | − | 0.572215i | −0.598670 | − | 0.800996i | \(-0.704304\pi\) |
−0.973478 | + | 0.228781i | \(0.926526\pi\) | |||||||
\(710\) | −34.3416 | − | 12.9707i | −1.28882 | − | 0.486781i | ||||
\(711\) | 21.7255 | + | 3.41115i | 0.814771 | + | 0.127928i | ||||
\(712\) | −34.9249 | − | 21.8863i | −1.30887 | − | 0.820222i | ||||
\(713\) | 10.5394 | − | 28.9568i | 0.394704 | − | 1.08444i | ||||
\(714\) | 0.290469 | + | 0.638274i | 0.0108705 | + | 0.0238868i | ||||
\(715\) | 7.27291 | − | 8.66752i | 0.271991 | − | 0.324147i | ||||
\(716\) | 8.56995 | + | 10.7287i | 0.320274 | + | 0.400951i | ||||
\(717\) | 11.1741 | − | 31.6219i | 0.417303 | − | 1.18094i | ||||
\(718\) | −6.32212 | − | 18.0444i | −0.235940 | − | 0.673411i | ||||
\(719\) | 5.85481 | + | 10.1408i | 0.218347 | + | 0.378189i | 0.954303 | − | 0.298841i | \(-0.0966001\pi\) |
−0.735955 | + | 0.677030i | \(0.763267\pi\) | |||||||
\(720\) | −14.0966 | + | 15.8281i | −0.525350 | + | 0.589878i | ||||
\(721\) | −33.2348 | + | 2.68717i | −1.23773 | + | 0.100075i | ||||
\(722\) | 16.9937 | − | 5.95400i | 0.632440 | − | 0.221585i | ||||
\(723\) | 30.3987 | + | 17.1719i | 1.13054 | + | 0.638630i | ||||
\(724\) | 19.0011 | − | 48.5284i | 0.706171 | − | 1.80354i | ||||
\(725\) | −9.26707 | + | 3.37294i | −0.344170 | + | 0.125268i | ||||
\(726\) | 9.91151 | + | 17.2736i | 0.367851 | + | 0.641082i | ||||
\(727\) | 36.8774 | − | 30.9438i | 1.36771 | − | 1.14764i | 0.394191 | − | 0.919028i | \(-0.371025\pi\) |
0.973517 | − | 0.228615i | \(-0.0734197\pi\) | |||||||
\(728\) | 23.8536 | − | 15.2249i | 0.884073 | − | 0.564271i | ||||
\(729\) | −14.7962 | − | 22.5848i | −0.548006 | − | 0.836474i | ||||
\(730\) | −33.7348 | − | 12.7415i | −1.24858 | − | 0.471583i | ||||
\(731\) | 0.0999200 | + | 0.0363679i | 0.00369568 | + | 0.00134512i | ||||
\(732\) | 0.390932 | − | 0.0630074i | 0.0144493 | − | 0.00232882i | ||||
\(733\) | 21.2415 | − | 25.3146i | 0.784572 | − | 0.935016i | −0.214559 | − | 0.976711i | \(-0.568831\pi\) |
0.999130 | + | 0.0416950i | \(0.0132758\pi\) | |||||||
\(734\) | −1.09023 | − | 1.94207i | −0.0402410 | − | 0.0716833i | ||||
\(735\) | −3.63895 | − | 21.1036i | −0.134225 | − | 0.778417i | ||||
\(736\) | 30.7464 | + | 20.3171i | 1.13333 | + | 0.748899i | ||||
\(737\) | 7.97105 | 0.293617 | ||||||||
\(738\) | −10.6815 | + | 12.9050i | −0.393192 | + | 0.475041i | ||||
\(739\) | − | 21.5361i | − | 0.792217i | −0.918204 | − | 0.396109i | \(-0.870360\pi\) | ||
0.918204 | − | 0.396109i | \(-0.129640\pi\) | |||||||
\(740\) | −21.9186 | − | 13.3701i | −0.805745 | − | 0.491494i | ||||
\(741\) | −10.6575 | − | 12.4614i | −0.391514 | − | 0.457782i | ||||
\(742\) | 3.66698 | − | 7.49557i | 0.134619 | − | 0.275171i | ||||
\(743\) | −1.08218 | + | 1.28969i | −0.0397014 | + | 0.0473143i | −0.785530 | − | 0.618824i | \(-0.787609\pi\) |
0.745828 | + | 0.666138i | \(0.232054\pi\) | |||||||
\(744\) | −21.5549 | − | 8.50618i | −0.790242 | − | 0.311852i | ||||
\(745\) | −30.8201 | + | 5.43441i | −1.12916 | + | 0.199101i | ||||
\(746\) | −8.08698 | − | 49.3374i | −0.296085 | − | 1.80637i | ||||
\(747\) | −23.8231 | + | 9.18146i | −0.871640 | + | 0.335932i | ||||
\(748\) | −0.275069 | − | 0.242358i | −0.0100575 | − | 0.00886149i | ||||
\(749\) | 3.94883 | − | 14.3582i | 0.144287 | − | 0.524637i | ||||
\(750\) | −10.2556 | + | 27.9449i | −0.374483 | + | 1.02040i | ||||
\(751\) | 17.0832 | + | 3.01223i | 0.623375 | + | 0.109918i | 0.476409 | − | 0.879224i | \(-0.341938\pi\) |
0.146966 | + | 0.989142i | \(0.453049\pi\) | |||||||
\(752\) | 5.12182 | − | 7.95809i | 0.186774 | − | 0.290202i | ||||
\(753\) | −29.9251 | + | 11.2114i | −1.09053 | + | 0.408566i | ||||
\(754\) | 9.27467 | + | 26.4715i | 0.337764 | + | 0.964034i | ||||
\(755\) | 32.0276 | 1.16560 | ||||||||
\(756\) | −24.9487 | + | 11.5570i | −0.907374 | + | 0.420324i | ||||
\(757\) | −26.6625 | −0.969065 | −0.484532 | − | 0.874773i | \(-0.661010\pi\) | ||||
−0.484532 | + | 0.874773i | \(0.661010\pi\) | |||||||
\(758\) | −6.66103 | − | 19.0117i | −0.241940 | − | 0.690536i | ||||
\(759\) | 14.7577 | + | 12.1487i | 0.535669 | + | 0.440969i | ||||
\(760\) | 8.38074 | − | 9.28362i | 0.304001 | − | 0.336752i | ||||
\(761\) | 23.0433 | + | 4.06316i | 0.835321 | + | 0.147290i | 0.574919 | − | 0.818211i | \(-0.305034\pi\) |
0.260402 | + | 0.965500i | \(0.416145\pi\) | |||||||
\(762\) | 24.7698 | + | 29.6800i | 0.897316 | + | 1.07519i | ||||
\(763\) | −3.34518 | + | 3.30139i | −0.121104 | + | 0.119518i | ||||
\(764\) | 3.57045 | − | 4.05235i | 0.129174 | − | 0.146609i | ||||
\(765\) | −0.277303 | + | 0.501853i | −0.0100259 | + | 0.0181445i | ||||
\(766\) | 1.76965 | + | 10.7964i | 0.0639400 | + | 0.390088i | ||||
\(767\) | 4.05896 | − | 0.715705i | 0.146561 | − | 0.0258426i | ||||
\(768\) | 15.8923 | − | 22.7032i | 0.573465 | − | 0.819230i | ||||
\(769\) | −10.6358 | + | 12.6753i | −0.383538 | + | 0.457083i | −0.922928 | − | 0.384974i | \(-0.874211\pi\) |
0.539390 | + | 0.842056i | \(0.318655\pi\) | |||||||
\(770\) | 6.24924 | + | 9.28891i | 0.225207 | + | 0.334749i | ||||
\(771\) | 10.1537 | − | 1.88891i | 0.365676 | − | 0.0680275i | ||||
\(772\) | 19.1505 | − | 31.3949i | 0.689242 | − | 1.12993i | ||||
\(773\) | 32.3264i | 1.16270i | 0.813653 | + | 0.581351i | \(0.197476\pi\) | ||||
−0.813653 | + | 0.581351i | \(0.802524\pi\) | |||||||
\(774\) | −1.39955 | + | 3.92723i | −0.0503057 | + | 0.141161i | ||||
\(775\) | −8.89378 | −0.319474 | ||||||||
\(776\) | 22.5726 | + | 28.9687i | 0.810310 | + | 1.03991i | ||||
\(777\) | −19.1802 | − | 27.2290i | −0.688085 | − | 0.976835i | ||||
\(778\) | −17.2721 | − | 30.7676i | −0.619234 | − | 1.10307i | ||||
\(779\) | 6.35400 | − | 7.57240i | 0.227656 | − | 0.271309i | ||||
\(780\) | 21.6231 | + | 8.23298i | 0.774233 | + | 0.294788i | ||||
\(781\) | 23.3940 | + | 8.51473i | 0.837104 | + | 0.304681i | ||||
\(782\) | 0.932626 | + | 0.352249i | 0.0333506 | + | 0.0125964i | ||||
\(783\) | −5.48714 | − | 26.6954i | −0.196094 | − | 0.954015i | ||||
\(784\) | 7.94297 | + | 26.8498i | 0.283677 | + | 0.958920i | ||||
\(785\) | 2.85282 | − | 2.39380i | 0.101821 | − | 0.0854383i | ||||
\(786\) | −23.3898 | + | 40.2638i | −0.834287 | + | 1.43616i | ||||
\(787\) | 34.7816 | − | 12.6595i | 1.23983 | − | 0.451261i | 0.362877 | − | 0.931837i | \(-0.381794\pi\) |
0.876953 | + | 0.480575i | \(0.159572\pi\) | |||||||
\(788\) | 16.4359 | + | 6.43542i | 0.585505 | + | 0.229252i | ||||
\(789\) | −30.9246 | + | 18.2439i | −1.10094 | + | 0.649500i | ||||
\(790\) | 17.2810 | − | 6.05467i | 0.614831 | − | 0.215415i | ||||
\(791\) | 16.1270 | + | 23.3577i | 0.573408 | + | 0.830503i | ||||
\(792\) | 9.42976 | − | 10.8488i | 0.335072 | − | 0.385494i | ||||
\(793\) | −0.216130 | − | 0.374348i | −0.00767500 | − | 0.0132935i | ||||
\(794\) | 10.3958 | + | 29.6714i | 0.368934 | + | 1.05300i | ||||
\(795\) | 6.70761 | − | 1.24783i | 0.237894 | − | 0.0442560i | ||||
\(796\) | 19.3025 | − | 15.4185i | 0.684157 | − | 0.546495i | ||||
\(797\) | −4.90016 | + | 5.83978i | −0.173573 | + | 0.206856i | −0.845816 | − | 0.533474i | \(-0.820886\pi\) |
0.672244 | + | 0.740330i | \(0.265331\pi\) | |||||||
\(798\) | 14.7672 | − | 6.72033i | 0.522752 | − | 0.237897i | ||||
\(799\) | 0.0875616 | − | 0.240574i | 0.00309771 | − | 0.00851088i | ||||
\(800\) | 2.47517 | − | 10.3443i | 0.0875105 | − | 0.365727i | ||||
\(801\) | 14.1772 | − | 41.3535i | 0.500926 | − | 1.46115i | ||||
\(802\) | −17.3174 | − | 6.54069i | −0.611497 | − | 0.230960i | ||||
\(803\) | 22.9807 | + | 8.36428i | 0.810970 | + | 0.295169i | ||||
\(804\) | 5.34867 | + | 15.3976i | 0.188633 | + | 0.543030i | ||||
\(805\) | −24.8228 | − | 17.6259i | −0.874889 | − | 0.621233i | ||||
\(806\) | −0.305209 | + | 25.2940i | −0.0107505 | + | 0.890945i | ||||
\(807\) | −3.94609 | − | 10.5328i | −0.138909 | − | 0.370771i | ||||
\(808\) | −36.3570 | + | 5.06178i | −1.27903 | + | 0.178073i | ||||
\(809\) | 6.44146 | + | 11.1569i | 0.226470 | + | 0.392257i | 0.956759 | − | 0.290880i | \(-0.0939482\pi\) |
−0.730290 | + | 0.683138i | \(0.760615\pi\) | |||||||
\(810\) | −19.7497 | − | 10.7401i | −0.693933 | − | 0.377367i | ||||
\(811\) | −40.8971 | −1.43609 | −0.718045 | − | 0.695996i | \(-0.754963\pi\) | ||||
−0.718045 | + | 0.695996i | \(0.754963\pi\) | |||||||
\(812\) | −27.7092 | + | 1.56854i | −0.972403 | + | 0.0550451i | ||||
\(813\) | −13.0167 | − | 10.7155i | −0.456517 | − | 0.375810i | ||||
\(814\) | 14.9730 | + | 8.88724i | 0.524803 | + | 0.311497i | ||||
\(815\) | −30.6277 | − | 25.6997i | −1.07284 | − | 0.900222i | ||||
\(816\) | 0.283585 | − | 0.693973i | 0.00992746 | − | 0.0242939i | ||||
\(817\) | 0.841412 | − | 2.31176i | 0.0294373 | − | 0.0808783i | ||||
\(818\) | −4.56982 | − | 5.58150i | −0.159780 | − | 0.195153i | ||||
\(819\) | 21.4811 | + | 20.9631i | 0.750612 | + | 0.732509i | ||||
\(820\) | −2.75286 | + | 13.6740i | −0.0961340 | + | 0.477518i | ||||
\(821\) | −20.5429 | + | 17.2375i | −0.716952 | + | 0.601595i | −0.926540 | − | 0.376195i | \(-0.877232\pi\) |
0.209588 | + | 0.977790i | \(0.432788\pi\) | |||||||
\(822\) | −1.20692 | + | 6.73955i | −0.0420962 | + | 0.235069i | ||||
\(823\) | 27.2105 | + | 4.79794i | 0.948498 | + | 0.167246i | 0.626436 | − | 0.779473i | \(-0.284513\pi\) |
0.322062 | + | 0.946719i | \(0.395624\pi\) | |||||||
\(824\) | 26.4589 | + | 23.8856i | 0.921739 | + | 0.832095i | ||||
\(825\) | 1.83809 | − | 5.20167i | 0.0639940 | − | 0.181099i | ||||
\(826\) | −0.431150 | + | 4.05528i | −0.0150016 | + | 0.141101i | ||||
\(827\) | −28.5706 | − | 16.4953i | −0.993499 | − | 0.573597i | −0.0871804 | − | 0.996193i | \(-0.527786\pi\) |
−0.906318 | + | 0.422596i | \(0.861119\pi\) | |||||||
\(828\) | −13.5649 | + | 36.6591i | −0.471412 | + | 1.27399i | ||||
\(829\) | 30.7401 | + | 17.7478i | 1.06765 | + | 0.616407i | 0.927538 | − | 0.373729i | \(-0.121921\pi\) |
0.140110 | + | 0.990136i | \(0.455254\pi\) | |||||||
\(830\) | −13.8599 | + | 16.1185i | −0.481084 | + | 0.559483i | ||||
\(831\) | −2.15922 | − | 3.66002i | −0.0749025 | − | 0.126965i | ||||
\(832\) | −29.3345 | − | 7.39441i | −1.01699 | − | 0.256355i | ||||
\(833\) | 0.370048 | + | 0.660902i | 0.0128214 | + | 0.0228989i | ||||
\(834\) | 38.9485 | + | 0.103962i | 1.34868 | + | 0.00359990i | ||||
\(835\) | −10.6537 | + | 1.87854i | −0.368688 | + | 0.0650097i | ||||
\(836\) | −5.60722 | + | 6.36403i | −0.193930 | + | 0.220105i | ||||
\(837\) | 3.58403 | − | 24.3155i | 0.123882 | − | 0.840468i | ||||
\(838\) | −3.43630 | − | 1.29787i | −0.118705 | − | 0.0448343i | ||||
\(839\) | 28.2468 | − | 23.7019i | 0.975188 | − | 0.818280i | −0.00816840 | − | 0.999967i | \(-0.502600\pi\) |
0.983356 | + | 0.181687i | \(0.0581557\pi\) | |||||||
\(840\) | −13.7499 | + | 18.3045i | −0.474418 | + | 0.631567i | ||||
\(841\) | −0.258854 | + | 1.46803i | −0.00892599 | + | 0.0506218i | ||||
\(842\) | −6.96158 | − | 0.0840015i | −0.239912 | − | 0.00289488i | ||||
\(843\) | −0.850333 | + | 1.50531i | −0.0292870 | + | 0.0518457i | ||||
\(844\) | 5.47864 | + | 3.34190i | 0.188583 | + | 0.115033i | ||||
\(845\) | − | 2.29587i | − | 0.0789805i | ||||||
\(846\) | 9.45544 | + | 3.36964i | 0.325085 | + | 0.115851i | ||||
\(847\) | 12.2218 | + | 17.7015i | 0.419945 | + | 0.608232i | ||||
\(848\) | −8.52008 | + | 2.64306i | −0.292581 | + | 0.0907631i | ||||
\(849\) | 6.97094 | + | 2.46328i | 0.239242 | + | 0.0845397i | ||||
\(850\) | 0.00347163 | − | 0.287710i | 0.000119076 | − | 0.00986837i | ||||
\(851\) | −46.6295 | − | 8.22204i | −1.59844 | − | 0.281848i | ||||
\(852\) | −0.750119 | + | 50.9034i | −0.0256987 | + | 1.74392i | ||||
\(853\) | 3.69353 | − | 10.1479i | 0.126464 | − | 0.347457i | −0.860262 | − | 0.509853i | \(-0.829700\pi\) |
0.986726 | + | 0.162396i | \(0.0519221\pi\) | |||||||
\(854\) | 0.415124 | − | 0.102973i | 0.0142052 | − | 0.00352366i | ||||
\(855\) | 11.6109 | + | 6.41572i | 0.397086 | + | 0.219413i | ||||
\(856\) | −14.0657 | + | 7.45559i | −0.480756 | + | 0.254827i | ||||
\(857\) | 6.91144 | + | 8.23673i | 0.236090 | + | 0.281361i | 0.871061 | − | 0.491175i | \(-0.163432\pi\) |
−0.634971 | + | 0.772536i | \(0.718988\pi\) | |||||||
\(858\) | −14.7306 | − | 5.40605i | −0.502893 | − | 0.184560i | ||||
\(859\) | 3.17292 | − | 17.9945i | 0.108259 | − | 0.613966i | −0.881610 | − | 0.471979i | \(-0.843540\pi\) |
0.989869 | − | 0.141987i | \(-0.0453490\pi\) | |||||||
\(860\) | 0.520133 | + | 3.43219i | 0.0177364 | + | 0.117037i | ||||
\(861\) | −10.3368 | + | 14.8512i | −0.352279 | + | 0.506126i | ||||
\(862\) | 34.4686 | − | 40.0857i | 1.17401 | − | 1.36533i | ||||
\(863\) | 22.3042 | + | 12.8773i | 0.759242 | + | 0.438349i | 0.829024 | − | 0.559214i | \(-0.188897\pi\) |
−0.0697814 | + | 0.997562i | \(0.522230\pi\) | |||||||
\(864\) | 27.2839 | + | 10.9357i | 0.928217 | + | 0.372039i | ||||
\(865\) | 0.557786 | + | 0.966114i | 0.0189653 | + | 0.0328489i | ||||
\(866\) | 9.25531 | + | 26.4162i | 0.314508 | + | 0.897658i | ||||
\(867\) | −4.83701 | + | 29.0243i | −0.164274 | + | 0.985717i | ||||
\(868\) | −23.9660 | − | 7.21757i | −0.813461 | − | 0.244980i | ||||
\(869\) | −11.6691 | + | 4.24722i | −0.395849 | + | 0.144077i | ||||
\(870\) | −14.5398 | − | 17.4220i | −0.492944 | − | 0.590663i | ||||
\(871\) | 13.6307 | − | 11.4375i | 0.461860 | − | 0.387546i | ||||
\(872\) | 5.02115 | + | 0.181833i | 0.170038 | + | 0.00615763i | ||||
\(873\) | −24.4730 | + | 30.3046i | −0.828286 | + | 1.02565i | ||||
\(874\) | 8.14966 | − | 21.5773i | 0.275666 | − | 0.729864i | ||||
\(875\) | −8.52606 | + | 31.0013i | −0.288233 | + | 1.04804i | ||||
\(876\) | −0.736864 | + | 50.0040i | −0.0248963 | + | 1.68948i | ||||
\(877\) | −41.4914 | + | 15.1016i | −1.40106 | + | 0.509946i | −0.928494 | − | 0.371347i | \(-0.878896\pi\) |
−0.472570 | + | 0.881293i | \(0.656674\pi\) | |||||||
\(878\) | 15.2211 | + | 0.183664i | 0.513687 | + | 0.00619837i | ||||
\(879\) | 6.65656 | − | 18.8376i | 0.224520 | − | 0.635378i | ||||
\(880\) | 2.64450 | − | 11.6726i | 0.0891462 | − | 0.393482i | ||||
\(881\) | 35.5886 | + | 20.5471i | 1.19901 | + | 0.692249i | 0.960334 | − | 0.278851i | \(-0.0899535\pi\) |
0.238675 | + | 0.971099i | \(0.423287\pi\) | |||||||
\(882\) | −25.8149 | + | 14.6831i | −0.869231 | + | 0.494405i | ||||
\(883\) | −2.38817 | + | 1.37881i | −0.0803684 | + | 0.0464007i | −0.539646 | − | 0.841892i | \(-0.681442\pi\) |
0.459277 | + | 0.888293i | \(0.348108\pi\) | |||||||
\(884\) | −0.818133 | − | 0.0197468i | −0.0275168 | − | 0.000664156i | ||||
\(885\) | −2.87189 | + | 1.69426i | −0.0965374 | + | 0.0569520i | ||||
\(886\) | −13.2127 | − | 7.84242i | −0.443889 | − | 0.263471i | ||||
\(887\) | 20.5913 | + | 17.2782i | 0.691389 | + | 0.580144i | 0.919309 | − | 0.393536i | \(-0.128748\pi\) |
−0.227921 | + | 0.973680i | \(0.573193\pi\) | |||||||
\(888\) | −7.12031 | + | 34.8865i | −0.238942 | + | 1.17072i | ||||
\(889\) | 29.3305 | + | 29.7195i | 0.983712 | + | 0.996759i | ||||
\(890\) | −5.88774 | − | 35.9201i | −0.197357 | − | 1.20405i | ||||
\(891\) | 13.4806 | + | 7.12150i | 0.451618 | + | 0.238579i | ||||
\(892\) | −27.5150 | − | 24.2429i | −0.921269 | − | 0.811712i | ||||
\(893\) | −5.56594 | − | 2.02584i | −0.186257 | − | 0.0677920i | ||||
\(894\) | 21.6000 | + | 37.6440i | 0.722413 | + | 1.25900i | ||||
\(895\) | −2.10578 | + | 11.9425i | −0.0703884 | + | 0.399192i | ||||
\(896\) | 15.0646 | − | 25.8662i | 0.503272 | − | 0.864128i | ||||
\(897\) | 42.6680 | − | 0.400948i | 1.42464 | − | 0.0133873i | ||||
\(898\) | −9.02936 | + | 47.8263i | −0.301314 | + | 1.59598i | ||||
\(899\) | 12.4045 | − | 21.4852i | 0.413713 | − | 0.716572i | ||||
\(900\) | 11.2814 | + | 0.0602251i | 0.376046 | + | 0.00200750i | ||||
\(901\) | −0.208988 | + | 0.120659i | −0.00696239 | + | 0.00401974i | ||||
\(902\) | 1.75489 | − | 9.29523i | 0.0584316 | − | 0.309497i | ||||
\(903\) | −1.15329 | + | 4.35302i | −0.0383792 | + | 0.144859i | ||||
\(904\) | 6.34717 | − | 29.6727i | 0.211104 | − | 0.986898i | ||||
\(905\) | 43.2498 | − | 15.7416i | 1.43767 | − | 0.523270i | ||||
\(906\) | −15.0797 | − | 41.7778i | −0.500990 | − | 1.38798i | ||||
\(907\) | −6.41946 | + | 1.13192i | −0.213155 | + | 0.0375849i | −0.279206 | − | 0.960231i | \(-0.590071\pi\) |
0.0660510 | + | 0.997816i | \(0.478960\pi\) | |||||||
\(908\) | −23.5796 | − | 20.7755i | −0.782517 | − | 0.689460i | ||||
\(909\) | −14.0015 | − | 36.3296i | −0.464401 | − | 1.20498i | ||||
\(910\) | 24.0149 | + | 6.91737i | 0.796086 | + | 0.229309i | ||||
\(911\) | 54.5049 | − | 9.61069i | 1.80583 | − | 0.318416i | 0.833586 | − | 0.552389i | \(-0.186284\pi\) |
0.972243 | + | 0.233973i | \(0.0751727\pi\) | |||||||
\(912\) | −16.0558 | − | 6.56106i | −0.531662 | − | 0.217258i | ||||
\(913\) | 9.26684 | − | 11.0438i | 0.306688 | − | 0.365496i | ||||
\(914\) | 14.7576 | + | 26.2884i | 0.488138 | + | 0.869544i | ||||
\(915\) | 0.269989 | + | 0.222258i | 0.00892555 | + | 0.00734762i | ||||
\(916\) | −15.4105 | − | 9.40018i | −0.509176 | − | 0.310591i | ||||
\(917\) | −21.5556 | + | 45.4421i | −0.711828 | + | 1.50063i | ||||
\(918\) | 0.785199 | + | 0.125433i | 0.0259154 | + | 0.00413992i | ||||
\(919\) | −0.178788 | − | 0.103223i | −0.00589767 | − | 0.00340502i | 0.497048 | − | 0.867723i | \(-0.334417\pi\) |
−0.502946 | + | 0.864318i | \(0.667751\pi\) | |||||||
\(920\) | 4.48794 | + | 32.2352i | 0.147963 | + | 1.06276i | ||||
\(921\) | −41.9934 | − | 34.5695i | −1.38373 | − | 1.13910i | ||||
\(922\) | −40.6271 | − | 24.1143i | −1.33798 | − | 0.794162i | ||||
\(923\) | 52.2222 | − | 19.0073i | 1.71891 | − | 0.625633i | ||||
\(924\) | 9.17440 | − | 12.5253i | 0.301816 | − | 0.412051i | ||||
\(925\) | 2.37302 | + | 13.4581i | 0.0780245 | + | 0.442499i | ||||
\(926\) | −13.0207 | + | 2.13424i | −0.427886 | + | 0.0701355i | ||||
\(927\) | −18.2852 | + | 33.0919i | −0.600565 | + | 1.08688i | ||||
\(928\) | 21.5372 | + | 20.4071i | 0.706993 | + | 0.669894i | ||||
\(929\) | 6.34698 | + | 7.56404i | 0.208238 | + | 0.248168i | 0.860047 | − | 0.510215i | \(-0.170434\pi\) |
−0.651809 | + | 0.758383i | \(0.725990\pi\) | |||||||
\(930\) | −6.94797 | − | 19.2491i | −0.227833 | − | 0.631203i | ||||
\(931\) | 15.2907 | − | 8.56148i | 0.501132 | − | 0.280591i | ||||
\(932\) | −48.2707 | − | 18.9002i | −1.58116 | − | 0.619097i | ||||
\(933\) | 10.8699 | + | 3.84105i | 0.355866 | + | 0.125750i | ||||
\(934\) | −17.2438 | + | 6.04161i | −0.564233 | + | 0.197687i | ||||
\(935\) | − | 0.323765i | − | 0.0105882i | ||||||
\(936\) | 0.558426 | − | 32.0823i | 0.0182527 | − | 1.04864i | ||||
\(937\) | −33.9757 | + | 19.6159i | −1.10994 | + | 0.640823i | −0.938813 | − | 0.344427i | \(-0.888073\pi\) |
−0.171125 | + | 0.985249i | \(0.554740\pi\) | |||||||
\(938\) | 7.14174 | + | 16.0926i | 0.233186 | + | 0.525441i | ||||
\(939\) | −10.9760 | + | 6.47526i | −0.358188 | + | 0.211312i | ||||
\(940\) | 8.26355 | − | 1.25230i | 0.269527 | − | 0.0408457i | ||||
\(941\) | −7.42072 | − | 20.3883i | −0.241909 | − | 0.664638i | −0.999923 | − | 0.0124006i | \(-0.996053\pi\) |
0.758015 | − | 0.652238i | \(-0.226170\pi\) | |||||||
\(942\) | −4.46576 | − | 2.59422i | −0.145502 | − | 0.0845244i | ||||
\(943\) | 4.46683 | + | 25.3327i | 0.145460 | + | 0.824945i | ||||
\(944\) | 3.47105 | − | 2.63798i | 0.112973 | − | 0.0858590i | ||||
\(945\) | −22.2238 | − | 9.78440i | −0.722940 | − | 0.318286i | ||||
\(946\) | −0.380799 | − | 2.32320i | −0.0123808 | − | 0.0755336i | ||||
\(947\) | 48.4327 | − | 8.54000i | 1.57385 | − | 0.277513i | 0.682521 | − | 0.730866i | \(-0.260884\pi\) |
0.891331 | + | 0.453353i | \(0.149772\pi\) | |||||||
\(948\) | −16.0344 | − | 19.6912i | −0.520774 | − | 0.639540i | ||||
\(949\) | 51.2994 | − | 18.6715i | 1.66525 | − | 0.606101i | ||||
\(950\) | −6.65649 | − | 0.0803201i | −0.215965 | − | 0.00260593i | ||||
\(951\) | 13.7890 | − | 24.4101i | 0.447139 | − | 0.791552i | ||||
\(952\) | 0.242840 | − | 0.772474i | 0.00787050 | − | 0.0250360i | ||||
\(953\) | 14.5854 | + | 25.2626i | 0.472467 | + | 0.818337i | 0.999504 | − | 0.0315054i | \(-0.0100301\pi\) |
−0.527036 | + | 0.849843i | \(0.676697\pi\) | |||||||
\(954\) | −4.78589 | − | 8.16211i | −0.154949 | − | 0.264258i | ||||
\(955\) | 4.76974 | 0.154345 | ||||||||
\(956\) | −33.9955 | + | 18.5483i | −1.09949 | + | 0.599896i | ||||
\(957\) | 10.0023 | + | 11.6953i | 0.323329 | + | 0.378057i | ||||
\(958\) | 31.0537 | − | 52.3184i | 1.00330 | − | 1.69033i | ||||
\(959\) | −0.693066 | + | 7.36280i | −0.0223803 | + | 0.237757i | ||||
\(960\) | 24.3222 | − | 2.72407i | 0.784996 | − | 0.0879190i | ||||
\(961\) | −6.60810 | + | 5.54485i | −0.213164 | + | 0.178866i | ||||
\(962\) | 38.3564 | − | 6.28707i | 1.23666 | − | 0.202703i | ||||
\(963\) | −11.0947 | − | 12.7285i | −0.357523 | − | 0.410171i | ||||
\(964\) | −12.8703 | − | 38.2051i | −0.414525 | − | 1.23050i | ||||
\(965\) | 31.9839 | − | 5.63962i | 1.02960 | − | 0.181546i | ||||
\(966\) | −11.3044 | + | 40.6786i | −0.363714 | + | 1.30881i | ||||
\(967\) | −18.3256 | − | 50.3491i | −0.589311 | − | 1.61912i | −0.771768 | − | 0.635905i | \(-0.780627\pi\) |
0.182457 | − | 0.983214i | \(-0.441595\pi\) | |||||||
\(968\) | 4.81018 | − | 22.4873i | 0.154605 | − | 0.722771i | ||||
\(969\) | −0.462819 | − | 0.0771307i | −0.0148679 | − | 0.00247779i | ||||
\(970\) | −6.01691 | + | 31.8701i | −0.193191 | + | 1.02329i | ||||
\(971\) | −5.90796 | + | 10.2329i | −0.189596 | + | 0.328389i | −0.945115 | − | 0.326737i | \(-0.894051\pi\) |
0.755520 | + | 0.655126i | \(0.227384\pi\) | |||||||
\(972\) | −4.71085 | + | 30.8190i | −0.151100 | + | 0.988518i | ||||
\(973\) | 41.9325 | − | 3.39042i | 1.34429 | − | 0.108692i | ||||
\(974\) | 7.80865 | − | 9.08117i | 0.250205 | − | 0.290979i | ||||
\(975\) | −4.32062 | − | 11.5325i | −0.138370 | − | 0.369334i | ||||
\(976\) | −0.384487 | − | 0.247455i | −0.0123071 | − | 0.00792085i | ||||
\(977\) | 36.3363 | + | 30.4898i | 1.16250 | + | 0.975456i | 0.999937 | − | 0.0112420i | \(-0.00357852\pi\) |
0.162566 | + | 0.986698i | \(0.448023\pi\) | |||||||
\(978\) | −19.1029 | + | 52.0522i | −0.610845 | + | 1.66445i | ||||
\(979\) | 4.28654 | + | 24.3102i | 0.136998 | + | 0.776956i | ||||
\(980\) | −13.1541 | + | 20.9389i | −0.420193 | + | 0.668870i | ||||
\(981\) | 1.02387 | + | 5.22994i | 0.0326897 | + | 0.166979i | ||||
\(982\) | −26.7570 | − | 32.6805i | −0.853849 | − | 1.04288i | ||||
\(983\) | −6.65868 | − | 37.7632i | −0.212379 | − | 1.20446i | −0.885397 | − | 0.464835i | \(-0.846114\pi\) |
0.673019 | − | 0.739626i | \(-0.264997\pi\) | |||||||
\(984\) | 19.1330 | − | 2.84730i | 0.609938 | − | 0.0907687i | ||||
\(985\) | 5.33148 | + | 14.6481i | 0.169875 | + | 0.466728i | ||||
\(986\) | 0.690196 | + | 0.409667i | 0.0219803 | + | 0.0130465i | ||||
\(987\) | 10.4806 | + | 2.77674i | 0.333601 | + | 0.0883846i | ||||
\(988\) | −0.456863 | + | 18.9284i | −0.0145348 | + | 0.602193i | ||||
\(989\) | 3.20094 | + | 5.54419i | 0.101784 | + | 0.176295i | ||||
\(990\) | 12.6941 | − | 0.0854001i | 0.403445 | − | 0.00271419i | ||||
\(991\) | −28.5568 | − | 16.4873i | −0.907138 | − | 0.523736i | −0.0276287 | − | 0.999618i | \(-0.508796\pi\) |
−0.879509 | + | 0.475882i | \(0.842129\pi\) | |||||||
\(992\) | 11.9572 | + | 23.9371i | 0.379643 | + | 0.760003i | ||||
\(993\) | 16.1636 | + | 9.13066i | 0.512938 | + | 0.289753i | ||||
\(994\) | 3.76992 | + | 54.8586i | 0.119575 | + | 1.74001i | ||||
\(995\) | 21.4861 | + | 3.78858i | 0.681156 | + | 0.120106i | ||||
\(996\) | 27.5513 | + | 10.4901i | 0.872997 | + | 0.332392i | ||||
\(997\) | −9.39820 | + | 25.8213i | −0.297644 | + | 0.817770i | 0.697249 | + | 0.716829i | \(0.254407\pi\) |
−0.994892 | + | 0.100940i | \(0.967815\pi\) | |||||||
\(998\) | −13.5240 | − | 16.5180i | −0.428095 | − | 0.522868i | ||||
\(999\) | −37.7506 | + | 1.06447i | −1.19438 | + | 0.0336783i |
(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 | 756.2.bt.a.103.15 | ✓ | 840 | |
4.3 | odd | 2 | inner | 756.2.bt.a.103.140 | yes | 840 | |
7.3 | odd | 6 | 756.2.cd.a.535.80 | yes | 840 | ||
27.16 | even | 9 | 756.2.cd.a.691.50 | yes | 840 | ||
28.3 | even | 6 | 756.2.cd.a.535.50 | yes | 840 | ||
108.43 | odd | 18 | 756.2.cd.a.691.80 | yes | 840 | ||
189.178 | odd | 18 | inner | 756.2.bt.a.367.140 | yes | 840 | |
756.367 | even | 18 | inner | 756.2.bt.a.367.15 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bt.a.103.15 | ✓ | 840 | 1.1 | even | 1 | trivial | |
756.2.bt.a.103.140 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.bt.a.367.15 | yes | 840 | 756.367 | even | 18 | inner | |
756.2.bt.a.367.140 | yes | 840 | 189.178 | odd | 18 | inner | |
756.2.cd.a.535.50 | yes | 840 | 28.3 | even | 6 | ||
756.2.cd.a.535.80 | yes | 840 | 7.3 | odd | 6 | ||
756.2.cd.a.691.50 | yes | 840 | 27.16 | even | 9 | ||
756.2.cd.a.691.80 | yes | 840 | 108.43 | odd | 18 |