Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(4,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.y (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 231.4 |
Dual form | 231.2.y.b.58.4 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.100056 | + | 0.951974i | −0.0707506 | + | 0.673147i | 0.900462 | + | 0.434934i | \(0.143228\pi\) |
−0.971213 | + | 0.238213i | \(0.923438\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | 1.06005 | + | 0.225321i | 0.530026 | + | 0.112661i | ||||
\(5\) | −1.67824 | − | 0.747201i | −0.750532 | − | 0.334158i | −0.00443026 | − | 0.999990i | \(-0.501410\pi\) |
−0.746102 | + | 0.665832i | \(0.768077\pi\) | |||||||
\(6\) | −0.774405 | + | 0.562638i | −0.316150 | + | 0.229696i | ||||
\(7\) | 2.58488 | − | 0.564263i | 0.976993 | − | 0.213271i | ||||
\(8\) | −0.912158 | + | 2.80733i | −0.322496 | + | 0.992542i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 0.879234 | − | 1.52288i | 0.278038 | − | 0.481577i | ||||
\(11\) | 1.26602 | + | 3.06548i | 0.381720 | + | 0.924278i | ||||
\(12\) | 0.541868 | + | 0.938542i | 0.156424 | + | 0.270934i | ||||
\(13\) | 0.711158 | + | 0.516686i | 0.197240 | + | 0.143303i | 0.682022 | − | 0.731332i | \(-0.261101\pi\) |
−0.484782 | + | 0.874635i | \(0.661101\pi\) | |||||||
\(14\) | 0.278529 | + | 2.51720i | 0.0744401 | + | 0.672749i | ||||
\(15\) | −0.567684 | − | 1.74715i | −0.146575 | − | 0.451113i | ||||
\(16\) | −0.601157 | − | 0.267652i | −0.150289 | − | 0.0669131i | ||||
\(17\) | −0.508961 | − | 4.84244i | −0.123441 | − | 1.17446i | −0.864361 | − | 0.502871i | \(-0.832277\pi\) |
0.740920 | − | 0.671593i | \(-0.234390\pi\) | |||||||
\(18\) | −0.936300 | − | 0.199017i | −0.220688 | − | 0.0469087i | ||||
\(19\) | −4.96501 | + | 1.05534i | −1.13905 | + | 0.242113i | −0.738560 | − | 0.674188i | \(-0.764494\pi\) |
−0.400491 | + | 0.916301i | \(0.631160\pi\) | |||||||
\(20\) | −1.61066 | − | 1.17022i | −0.360155 | − | 0.261668i | ||||
\(21\) | 2.14895 | + | 1.54337i | 0.468940 | + | 0.336792i | ||||
\(22\) | −3.04493 | + | 0.898498i | −0.649182 | + | 0.191560i | ||||
\(23\) | 1.00746 | + | 1.74498i | 0.210070 | + | 0.363852i | 0.951736 | − | 0.306917i | \(-0.0992974\pi\) |
−0.741666 | + | 0.670769i | \(0.765964\pi\) | |||||||
\(24\) | −2.69661 | + | 1.20061i | −0.550443 | + | 0.245073i | ||||
\(25\) | −1.08747 | − | 1.20776i | −0.217494 | − | 0.241551i | ||||
\(26\) | −0.563028 | + | 0.625305i | −0.110419 | + | 0.122632i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 2.86725 | − | 0.0157202i | 0.541859 | − | 0.00297084i | ||||
\(29\) | −1.97063 | − | 6.06497i | −0.365936 | − | 1.12624i | −0.949393 | − | 0.314092i | \(-0.898300\pi\) |
0.583456 | − | 0.812145i | \(-0.301700\pi\) | |||||||
\(30\) | 1.72004 | − | 0.365606i | 0.314035 | − | 0.0667503i | ||||
\(31\) | 7.64729 | − | 3.40479i | 1.37349 | − | 0.611519i | 0.418519 | − | 0.908208i | \(-0.362549\pi\) |
0.954974 | + | 0.296689i | \(0.0958826\pi\) | |||||||
\(32\) | −2.63686 | + | 4.56717i | −0.466135 | + | 0.807369i | ||||
\(33\) | −1.43096 | + | 2.99205i | −0.249099 | + | 0.520848i | ||||
\(34\) | 4.66080 | 0.799320 | ||||||||
\(35\) | −4.75967 | − | 0.984456i | −0.804531 | − | 0.166403i | ||||
\(36\) | −0.334893 | + | 1.03069i | −0.0558154 | + | 0.171782i | ||||
\(37\) | −1.34716 | + | 1.49617i | −0.221472 | + | 0.245970i | −0.843634 | − | 0.536919i | \(-0.819588\pi\) |
0.622162 | + | 0.782889i | \(0.286255\pi\) | |||||||
\(38\) | −0.507879 | − | 4.83215i | −0.0823889 | − | 0.783878i | ||||
\(39\) | 0.0918846 | + | 0.874224i | 0.0147133 | + | 0.139988i | ||||
\(40\) | 3.62846 | − | 4.02982i | 0.573710 | − | 0.637170i | ||||
\(41\) | 1.15346 | − | 3.54998i | 0.180140 | − | 0.554413i | −0.819691 | − | 0.572806i | \(-0.805855\pi\) |
0.999831 | + | 0.0183925i | \(0.00585486\pi\) | |||||||
\(42\) | −1.68427 | + | 1.89132i | −0.259888 | + | 0.291837i | ||||
\(43\) | −4.59823 | −0.701223 | −0.350612 | − | 0.936521i | \(-0.614026\pi\) | ||||
−0.350612 | + | 0.936521i | \(0.614026\pi\) | |||||||
\(44\) | 0.651332 | + | 3.53484i | 0.0981919 | + | 0.532897i | ||||
\(45\) | 0.918532 | − | 1.59094i | 0.136927 | − | 0.237164i | ||||
\(46\) | −1.76197 | + | 0.784481i | −0.259789 | + | 0.115665i | ||||
\(47\) | 3.07758 | − | 0.654161i | 0.448912 | − | 0.0954192i | 0.0220922 | − | 0.999756i | \(-0.492967\pi\) |
0.426820 | + | 0.904337i | \(0.359634\pi\) | |||||||
\(48\) | −0.203348 | − | 0.625841i | −0.0293508 | − | 0.0903324i | ||||
\(49\) | 6.36321 | − | 2.91710i | 0.909031 | − | 0.416729i | ||||
\(50\) | 1.25856 | − | 0.914398i | 0.177987 | − | 0.129315i | ||||
\(51\) | 3.25807 | − | 3.61846i | 0.456221 | − | 0.506685i | ||||
\(52\) | 0.637444 | + | 0.707954i | 0.0883976 | + | 0.0981755i | ||||
\(53\) | 7.45419 | − | 3.31882i | 1.02391 | − | 0.455875i | 0.175089 | − | 0.984553i | \(-0.443979\pi\) |
0.848823 | + | 0.528678i | \(0.177312\pi\) | |||||||
\(54\) | −0.478609 | − | 0.828974i | −0.0651304 | − | 0.112809i | ||||
\(55\) | 0.165843 | − | 6.09059i | 0.0223622 | − | 0.821255i | ||||
\(56\) | −0.773745 | + | 7.77132i | −0.103396 | + | 1.03849i | ||||
\(57\) | −4.10651 | − | 2.98356i | −0.543921 | − | 0.395182i | ||||
\(58\) | 5.97086 | − | 1.26915i | 0.784013 | − | 0.166647i | ||||
\(59\) | −6.22987 | − | 1.32420i | −0.811060 | − | 0.172396i | −0.216329 | − | 0.976321i | \(-0.569408\pi\) |
−0.594731 | + | 0.803924i | \(0.702742\pi\) | |||||||
\(60\) | −0.208105 | − | 1.97998i | −0.0268662 | − | 0.255615i | ||||
\(61\) | −13.1840 | − | 5.86990i | −1.68804 | − | 0.751564i | −0.999656 | − | 0.0262164i | \(-0.991654\pi\) |
−0.688383 | − | 0.725347i | \(-0.741679\pi\) | |||||||
\(62\) | 2.47611 | + | 7.62069i | 0.314466 | + | 0.967828i | ||||
\(63\) | 0.290978 | + | 2.62970i | 0.0366598 | + | 0.331311i | ||||
\(64\) | −5.14874 | − | 3.74078i | −0.643592 | − | 0.467597i | ||||
\(65\) | −0.807425 | − | 1.39850i | −0.100149 | − | 0.173463i | ||||
\(66\) | −2.70517 | − | 1.66161i | −0.332984 | − | 0.204531i | ||||
\(67\) | 6.18163 | − | 10.7069i | 0.755206 | − | 1.30805i | −0.190066 | − | 0.981771i | \(-0.560870\pi\) |
0.945272 | − | 0.326283i | \(-0.105796\pi\) | |||||||
\(68\) | 0.551579 | − | 5.24792i | 0.0668888 | − | 0.636404i | ||||
\(69\) | −0.622646 | + | 1.91631i | −0.0749577 | + | 0.230696i | ||||
\(70\) | 1.41341 | − | 4.43258i | 0.168935 | − | 0.529795i | ||||
\(71\) | −0.929414 | + | 0.675259i | −0.110301 | + | 0.0801385i | −0.641568 | − | 0.767066i | \(-0.721716\pi\) |
0.531267 | + | 0.847204i | \(0.321716\pi\) | |||||||
\(72\) | −2.69661 | − | 1.20061i | −0.317798 | − | 0.141493i | ||||
\(73\) | 1.92299 | + | 0.408745i | 0.225069 | + | 0.0478400i | 0.319066 | − | 0.947733i | \(-0.396631\pi\) |
−0.0939964 | + | 0.995573i | \(0.529964\pi\) | |||||||
\(74\) | −1.28953 | − | 1.43216i | −0.149904 | − | 0.166486i | ||||
\(75\) | 0.169879 | − | 1.61629i | 0.0196160 | − | 0.186634i | ||||
\(76\) | −5.50096 | −0.631004 | ||||||||
\(77\) | 5.00225 | + | 7.20954i | 0.570060 | + | 0.821603i | ||||
\(78\) | −0.841432 | −0.0952734 | ||||||||
\(79\) | −0.851362 | + | 8.10017i | −0.0957857 | + | 0.911340i | 0.836097 | + | 0.548581i | \(0.184832\pi\) |
−0.931883 | + | 0.362759i | \(0.881835\pi\) | |||||||
\(80\) | 0.808896 | + | 0.898370i | 0.0904373 | + | 0.100441i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 3.26407 | + | 1.45326i | 0.360457 | + | 0.160486i | ||||
\(83\) | 4.07984 | − | 2.96418i | 0.447821 | − | 0.325361i | −0.340914 | − | 0.940095i | \(-0.610736\pi\) |
0.788735 | + | 0.614733i | \(0.210736\pi\) | |||||||
\(84\) | 1.93025 | + | 2.12026i | 0.210607 | + | 0.231340i | ||||
\(85\) | −2.76412 | + | 8.50708i | −0.299811 | + | 0.922722i | ||||
\(86\) | 0.460082 | − | 4.37739i | 0.0496120 | − | 0.472026i | ||||
\(87\) | 3.18854 | − | 5.52272i | 0.341848 | − | 0.592097i | ||||
\(88\) | −9.76064 | + | 0.757940i | −1.04049 | + | 0.0807967i | ||||
\(89\) | 0.0235870 | + | 0.0408538i | 0.00250021 | + | 0.00433050i | 0.867273 | − | 0.497833i | \(-0.165871\pi\) |
−0.864773 | + | 0.502164i | \(0.832537\pi\) | |||||||
\(90\) | 1.42263 | + | 1.03360i | 0.149959 | + | 0.108951i | ||||
\(91\) | 2.12980 | + | 0.934292i | 0.223264 | + | 0.0979405i | ||||
\(92\) | 0.674783 | + | 2.07677i | 0.0703510 | + | 0.216518i | ||||
\(93\) | 7.64729 | + | 3.40479i | 0.792987 | + | 0.353060i | ||||
\(94\) | 0.314812 | + | 2.99523i | 0.0324703 | + | 0.308935i | ||||
\(95\) | 9.12103 | + | 1.93874i | 0.935798 | + | 0.198910i | ||||
\(96\) | −5.15847 | + | 1.09647i | −0.526484 | + | 0.111908i | ||||
\(97\) | 7.74725 | + | 5.62871i | 0.786615 | + | 0.571509i | 0.906957 | − | 0.421224i | \(-0.138399\pi\) |
−0.120342 | + | 0.992732i | \(0.538399\pi\) | |||||||
\(98\) | 2.14033 | + | 6.34949i | 0.216206 | + | 0.641395i | ||||
\(99\) | −3.18103 | + | 0.938656i | −0.319705 | + | 0.0943385i | ||||
\(100\) | −0.880642 | − | 1.52532i | −0.0880642 | − | 0.152532i | ||||
\(101\) | −15.3837 | + | 6.84928i | −1.53074 | + | 0.681529i | −0.987438 | − | 0.158009i | \(-0.949493\pi\) |
−0.543301 | + | 0.839538i | \(0.682826\pi\) | |||||||
\(102\) | 3.11868 | + | 3.46365i | 0.308796 | + | 0.342952i | ||||
\(103\) | −5.97556 | + | 6.63653i | −0.588789 | + | 0.653917i | −0.961749 | − | 0.273931i | \(-0.911676\pi\) |
0.372960 | + | 0.927847i | \(0.378343\pi\) | |||||||
\(104\) | −2.09920 | + | 1.52516i | −0.205843 | + | 0.149554i | ||||
\(105\) | −2.45325 | − | 4.19585i | −0.239412 | − | 0.409473i | ||||
\(106\) | 2.41359 | + | 7.42826i | 0.234428 | + | 0.721496i | ||||
\(107\) | 7.99920 | − | 1.70028i | 0.773312 | − | 0.164372i | 0.195678 | − | 0.980668i | \(-0.437309\pi\) |
0.577634 | + | 0.816296i | \(0.303976\pi\) | |||||||
\(108\) | −0.990041 | + | 0.440795i | −0.0952668 | + | 0.0424155i | ||||
\(109\) | −9.70812 | + | 16.8150i | −0.929869 | + | 1.61058i | −0.146332 | + | 0.989236i | \(0.546747\pi\) |
−0.783537 | + | 0.621345i | \(0.786587\pi\) | |||||||
\(110\) | 5.78149 | + | 0.767281i | 0.551243 | + | 0.0731574i | ||||
\(111\) | −2.01330 | −0.191094 | ||||||||
\(112\) | −1.70495 | − | 0.352639i | −0.161102 | − | 0.0333212i | ||||
\(113\) | −5.50672 | + | 16.9479i | −0.518029 | + | 1.59433i | 0.259675 | + | 0.965696i | \(0.416385\pi\) |
−0.777703 | + | 0.628632i | \(0.783615\pi\) | |||||||
\(114\) | 3.25115 | − | 3.61077i | 0.304498 | − | 0.338179i | ||||
\(115\) | −0.386917 | − | 3.68127i | −0.0360802 | − | 0.343280i | ||||
\(116\) | −0.722404 | − | 6.87321i | −0.0670735 | − | 0.638162i | ||||
\(117\) | −0.588192 | + | 0.653253i | −0.0543784 | + | 0.0603933i | ||||
\(118\) | 1.88394 | − | 5.79818i | 0.173431 | − | 0.533765i | ||||
\(119\) | −4.04801 | − | 12.2299i | −0.371081 | − | 1.12112i | ||||
\(120\) | 5.42265 | 0.495018 | ||||||||
\(121\) | −7.79438 | + | 7.76194i | −0.708580 | + | 0.705631i | ||||
\(122\) | 6.90713 | − | 11.9635i | 0.625343 | − | 1.08313i | ||||
\(123\) | 3.40996 | − | 1.51821i | 0.307466 | − | 0.136893i | ||||
\(124\) | 8.87370 | − | 1.88616i | 0.796882 | − | 0.169382i | ||||
\(125\) | 3.76102 | + | 11.5752i | 0.336396 | + | 1.03532i | ||||
\(126\) | −2.53252 | + | 0.0138850i | −0.225615 | + | 0.00123697i | ||||
\(127\) | −1.63663 | + | 1.18908i | −0.145228 | + | 0.105514i | −0.658027 | − | 0.752995i | \(-0.728609\pi\) |
0.512799 | + | 0.858509i | \(0.328609\pi\) | |||||||
\(128\) | −2.98132 | + | 3.31110i | −0.263514 | + | 0.292662i | ||||
\(129\) | −3.07682 | − | 3.41715i | −0.270899 | − | 0.300863i | ||||
\(130\) | 1.41212 | − | 0.628719i | 0.123852 | − | 0.0551423i | ||||
\(131\) | −6.70961 | − | 11.6214i | −0.586222 | − | 1.01537i | −0.994722 | − | 0.102607i | \(-0.967281\pi\) |
0.408500 | − | 0.912758i | \(-0.366052\pi\) | |||||||
\(132\) | −2.19107 | + | 2.84930i | −0.190708 | + | 0.248000i | ||||
\(133\) | −12.2385 | + | 5.52951i | −1.06121 | + | 0.479469i | ||||
\(134\) | 9.57416 | + | 6.95604i | 0.827082 | + | 0.600910i | ||||
\(135\) | 1.79692 | − | 0.381947i | 0.154654 | − | 0.0328728i | ||||
\(136\) | 14.0586 | + | 2.98825i | 1.20551 | + | 0.256240i | ||||
\(137\) | −1.53409 | − | 14.5959i | −0.131066 | − | 1.24701i | −0.840333 | − | 0.542070i | \(-0.817641\pi\) |
0.709268 | − | 0.704939i | \(-0.249026\pi\) | |||||||
\(138\) | −1.76197 | − | 0.784481i | −0.149989 | − | 0.0667795i | ||||
\(139\) | −2.98219 | − | 9.17824i | −0.252946 | − | 0.778488i | −0.994227 | − | 0.107294i | \(-0.965781\pi\) |
0.741281 | − | 0.671195i | \(-0.234219\pi\) | |||||||
\(140\) | −4.82368 | − | 2.11603i | −0.407676 | − | 0.178837i | ||||
\(141\) | 2.54544 | + | 1.84937i | 0.214365 | + | 0.155745i | ||||
\(142\) | −0.549835 | − | 0.952341i | −0.0461411 | − | 0.0799187i | ||||
\(143\) | −0.683552 | + | 2.83418i | −0.0571615 | + | 0.237006i | ||||
\(144\) | 0.329024 | − | 0.569887i | 0.0274187 | − | 0.0474905i | ||||
\(145\) | −1.22456 | + | 11.6509i | −0.101694 | + | 0.967557i | ||||
\(146\) | −0.581523 | + | 1.78974i | −0.0481271 | + | 0.148120i | ||||
\(147\) | 6.42565 | + | 2.77687i | 0.529979 | + | 0.229032i | ||||
\(148\) | −1.76518 | + | 1.28248i | −0.145097 | + | 0.105419i | ||||
\(149\) | 8.49944 | + | 3.78419i | 0.696301 | + | 0.310013i | 0.724193 | − | 0.689598i | \(-0.242213\pi\) |
−0.0278916 | + | 0.999611i | \(0.508879\pi\) | |||||||
\(150\) | 1.52167 | + | 0.323441i | 0.124244 | + | 0.0264089i | ||||
\(151\) | −0.220727 | − | 0.245142i | −0.0179625 | − | 0.0199494i | 0.734097 | − | 0.679045i | \(-0.237606\pi\) |
−0.752059 | + | 0.659096i | \(0.770939\pi\) | |||||||
\(152\) | 1.56617 | − | 14.9011i | 0.127033 | − | 1.20864i | ||||
\(153\) | 4.86911 | 0.393644 | ||||||||
\(154\) | −7.36380 | + | 4.04065i | −0.593392 | + | 0.325605i | ||||
\(155\) | −15.3781 | −1.23519 | ||||||||
\(156\) | −0.0995786 | + | 0.947427i | −0.00797267 | + | 0.0758549i | ||||
\(157\) | 10.4766 | + | 11.6355i | 0.836124 | + | 0.928610i | 0.998308 | − | 0.0581504i | \(-0.0185203\pi\) |
−0.162183 | + | 0.986761i | \(0.551854\pi\) | |||||||
\(158\) | −7.62596 | − | 1.62095i | −0.606689 | − | 0.128956i | ||||
\(159\) | 7.45419 | + | 3.31882i | 0.591156 | + | 0.263199i | ||||
\(160\) | 7.83788 | − | 5.69455i | 0.619639 | − | 0.450194i | ||||
\(161\) | 3.58879 | + | 3.94208i | 0.282837 | + | 0.310679i | ||||
\(162\) | 0.295796 | − | 0.910368i | 0.0232400 | − | 0.0715252i | ||||
\(163\) | −1.79096 | + | 17.0399i | −0.140279 | + | 1.33467i | 0.667248 | + | 0.744835i | \(0.267472\pi\) |
−0.807527 | + | 0.589830i | \(0.799195\pi\) | |||||||
\(164\) | 2.02261 | − | 3.50327i | 0.157939 | − | 0.273559i | ||||
\(165\) | 4.63716 | − | 3.95216i | 0.361003 | − | 0.307675i | ||||
\(166\) | 2.41361 | + | 4.18049i | 0.187332 | + | 0.324469i | ||||
\(167\) | 0.589182 | + | 0.428066i | 0.0455923 | + | 0.0331248i | 0.610348 | − | 0.792133i | \(-0.291030\pi\) |
−0.564756 | + | 0.825258i | \(0.691030\pi\) | |||||||
\(168\) | −6.29295 | + | 4.62502i | −0.485512 | + | 0.356828i | ||||
\(169\) | −3.77844 | − | 11.6288i | −0.290649 | − | 0.894526i | ||||
\(170\) | −7.82194 | − | 3.48255i | −0.599916 | − | 0.267100i | ||||
\(171\) | −0.530579 | − | 5.04812i | −0.0405744 | − | 0.386040i | ||||
\(172\) | −4.87437 | − | 1.03608i | −0.371667 | − | 0.0790002i | ||||
\(173\) | 8.42570 | − | 1.79094i | 0.640594 | − | 0.136162i | 0.123848 | − | 0.992301i | \(-0.460476\pi\) |
0.516746 | + | 0.856139i | \(0.327143\pi\) | |||||||
\(174\) | 4.93845 | + | 3.58799i | 0.374383 | + | 0.272005i | ||||
\(175\) | −3.49247 | − | 2.50829i | −0.264006 | − | 0.189609i | ||||
\(176\) | 0.0594060 | − | 2.18169i | 0.00447789 | − | 0.164451i | ||||
\(177\) | −3.18452 | − | 5.51576i | −0.239364 | − | 0.414590i | ||||
\(178\) | −0.0412518 | + | 0.0183665i | −0.00309195 | + | 0.00137663i | ||||
\(179\) | 8.64074 | + | 9.59652i | 0.645839 | + | 0.717277i | 0.973798 | − | 0.227415i | \(-0.0730273\pi\) |
−0.327959 | + | 0.944692i | \(0.606361\pi\) | |||||||
\(180\) | 1.33217 | − | 1.47952i | 0.0992938 | − | 0.110277i | ||||
\(181\) | −13.6527 | + | 9.91926i | −1.01480 | + | 0.737293i | −0.965210 | − | 0.261477i | \(-0.915791\pi\) |
−0.0495872 | + | 0.998770i | \(0.515791\pi\) | |||||||
\(182\) | −1.10252 | + | 1.93404i | −0.0817244 | + | 0.143360i | ||||
\(183\) | −4.45964 | − | 13.7254i | −0.329666 | − | 1.01461i | ||||
\(184\) | −5.81769 | + | 1.23659i | −0.428886 | + | 0.0911625i | ||||
\(185\) | 3.37881 | − | 1.50434i | 0.248415 | − | 0.110601i | ||||
\(186\) | −4.00643 | + | 6.93934i | −0.293766 | + | 0.508817i | ||||
\(187\) | 14.2001 | − | 7.69085i | 1.03841 | − | 0.562410i | ||||
\(188\) | 3.40980 | 0.248685 | ||||||||
\(189\) | −1.75955 | + | 1.97585i | −0.127988 | + | 0.143722i | ||||
\(190\) | −2.75824 | + | 8.48900i | −0.200104 | + | 0.615857i | ||||
\(191\) | 7.76867 | − | 8.62798i | 0.562121 | − | 0.624299i | −0.393348 | − | 0.919390i | \(-0.628683\pi\) |
0.955469 | + | 0.295091i | \(0.0953499\pi\) | |||||||
\(192\) | −0.665239 | − | 6.32932i | −0.0480095 | − | 0.456780i | ||||
\(193\) | −1.67790 | − | 15.9641i | −0.120778 | − | 1.14912i | −0.872148 | − | 0.489241i | \(-0.837274\pi\) |
0.751371 | − | 0.659880i | \(-0.229393\pi\) | |||||||
\(194\) | −6.13355 | + | 6.81199i | −0.440363 | + | 0.489073i | ||||
\(195\) | 0.499016 | − | 1.53581i | 0.0357353 | − | 0.109982i | ||||
\(196\) | 7.40263 | − | 1.65852i | 0.528759 | − | 0.118466i | ||||
\(197\) | 13.3138 | 0.948566 | 0.474283 | − | 0.880373i | \(-0.342707\pi\) | ||||
0.474283 | + | 0.880373i | \(0.342707\pi\) | |||||||
\(198\) | −0.575294 | − | 3.12217i | −0.0408843 | − | 0.221883i | ||||
\(199\) | −5.33339 | + | 9.23770i | −0.378074 | + | 0.654843i | −0.990782 | − | 0.135466i | \(-0.956747\pi\) |
0.612708 | + | 0.790309i | \(0.290080\pi\) | |||||||
\(200\) | 4.38252 | − | 1.95122i | 0.309891 | − | 0.137972i | ||||
\(201\) | 12.0931 | − | 2.57046i | 0.852980 | − | 0.181307i | ||||
\(202\) | −4.98109 | − | 15.3302i | −0.350468 | − | 1.07863i | ||||
\(203\) | −8.51607 | − | 14.5653i | −0.597711 | − | 1.02228i | ||||
\(204\) | 4.26904 | − | 3.10164i | 0.298893 | − | 0.217158i | ||||
\(205\) | −4.58833 | + | 5.09585i | −0.320463 | + | 0.355910i | ||||
\(206\) | −5.71991 | − | 6.35260i | −0.398525 | − | 0.442607i | ||||
\(207\) | −1.84072 | + | 0.819543i | −0.127939 | + | 0.0569622i | ||||
\(208\) | −0.289225 | − | 0.500953i | −0.0200542 | − | 0.0347348i | ||||
\(209\) | −9.52095 | − | 13.8841i | −0.658578 | − | 0.960380i | ||||
\(210\) | 4.23981 | − | 1.91560i | 0.292574 | − | 0.132189i | ||||
\(211\) | −1.86263 | − | 1.35328i | −0.128229 | − | 0.0931639i | 0.521822 | − | 0.853054i | \(-0.325253\pi\) |
−0.650051 | + | 0.759891i | \(0.725253\pi\) | |||||||
\(212\) | 8.64963 | − | 1.83854i | 0.594059 | − | 0.126271i | ||||
\(213\) | −1.12371 | − | 0.238853i | −0.0769956 | − | 0.0163659i | ||||
\(214\) | 0.818252 | + | 7.78515i | 0.0559346 | + | 0.532182i | ||||
\(215\) | 7.71694 | + | 3.43580i | 0.526291 | + | 0.234320i | ||||
\(216\) | −0.912158 | − | 2.80733i | −0.0620645 | − | 0.191015i | ||||
\(217\) | 17.8461 | − | 13.1161i | 1.21147 | − | 0.890376i | ||||
\(218\) | −15.0360 | − | 10.9243i | −1.01837 | − | 0.739888i | ||||
\(219\) | 0.982978 | + | 1.70257i | 0.0664235 | + | 0.115049i | ||||
\(220\) | 1.54814 | − | 6.41898i | 0.104376 | − | 0.432768i | ||||
\(221\) | 2.14007 | − | 3.70671i | 0.143957 | − | 0.249340i | ||||
\(222\) | 0.201444 | − | 1.91661i | 0.0135200 | − | 0.128634i | ||||
\(223\) | 6.75701 | − | 20.7959i | 0.452483 | − | 1.39260i | −0.421582 | − | 0.906790i | \(-0.638525\pi\) |
0.874065 | − | 0.485809i | \(-0.161475\pi\) | |||||||
\(224\) | −4.23888 | + | 13.2935i | −0.283222 | + | 0.888207i | ||||
\(225\) | 1.31481 | − | 0.955267i | 0.0876542 | − | 0.0636845i | ||||
\(226\) | −15.5830 | − | 6.93800i | −1.03657 | − | 0.461509i | ||||
\(227\) | −10.0279 | − | 2.13150i | −0.665575 | − | 0.141472i | −0.137279 | − | 0.990532i | \(-0.543836\pi\) |
−0.528296 | + | 0.849060i | \(0.677169\pi\) | |||||||
\(228\) | −3.68086 | − | 4.08801i | −0.243771 | − | 0.270735i | ||||
\(229\) | −2.22046 | + | 21.1263i | −0.146732 | + | 1.39606i | 0.635030 | + | 0.772487i | \(0.280988\pi\) |
−0.781762 | + | 0.623576i | \(0.785679\pi\) | |||||||
\(230\) | 3.54318 | 0.233630 | ||||||||
\(231\) | −2.01057 | + | 8.54152i | −0.132286 | + | 0.561991i | ||||
\(232\) | 18.8239 | 1.23585 | ||||||||
\(233\) | −1.62563 | + | 15.4668i | −0.106498 | + | 1.01326i | 0.802553 | + | 0.596581i | \(0.203474\pi\) |
−0.909051 | + | 0.416684i | \(0.863192\pi\) | |||||||
\(234\) | −0.563028 | − | 0.625305i | −0.0368063 | − | 0.0408775i | ||||
\(235\) | −5.65372 | − | 1.20174i | −0.368808 | − | 0.0783926i | ||||
\(236\) | −6.30562 | − | 2.80744i | −0.410461 | − | 0.182749i | ||||
\(237\) | −6.58927 | + | 4.78739i | −0.428019 | + | 0.310974i | ||||
\(238\) | 12.0476 | − | 2.62992i | 0.780931 | − | 0.170472i | ||||
\(239\) | 5.01422 | − | 15.4322i | 0.324343 | − | 0.998225i | −0.647393 | − | 0.762156i | \(-0.724141\pi\) |
0.971736 | − | 0.236069i | \(-0.0758591\pi\) | |||||||
\(240\) | −0.126362 | + | 1.20225i | −0.00815663 | + | 0.0776052i | ||||
\(241\) | −7.89947 | + | 13.6823i | −0.508849 | + | 0.881353i | 0.491098 | + | 0.871104i | \(0.336596\pi\) |
−0.999947 | + | 0.0102488i | \(0.996738\pi\) | |||||||
\(242\) | −6.60928 | − | 8.19667i | −0.424861 | − | 0.526902i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −12.6531 | − | 9.19304i | −0.810034 | − | 0.588524i | ||||
\(245\) | −12.8587 | + | 0.141004i | −0.821510 | + | 0.00900842i | ||||
\(246\) | 1.10411 | + | 3.39810i | 0.0703955 | + | 0.216655i | ||||
\(247\) | −4.07619 | − | 1.81483i | −0.259361 | − | 0.115475i | ||||
\(248\) | 2.58285 | + | 24.5742i | 0.164011 | + | 1.56046i | ||||
\(249\) | 4.93276 | + | 1.04849i | 0.312601 | + | 0.0664454i | ||||
\(250\) | −11.3956 | + | 2.42221i | −0.720722 | + | 0.153194i | ||||
\(251\) | 4.85511 | + | 3.52745i | 0.306452 | + | 0.222650i | 0.730373 | − | 0.683049i | \(-0.239346\pi\) |
−0.423921 | + | 0.905699i | \(0.639346\pi\) | |||||||
\(252\) | −0.284075 | + | 2.85319i | −0.0178951 | + | 0.179734i | ||||
\(253\) | −4.07372 | + | 5.29753i | −0.256113 | + | 0.333053i | ||||
\(254\) | −0.968221 | − | 1.67701i | −0.0607516 | − | 0.105225i | ||||
\(255\) | −8.17155 | + | 3.63821i | −0.511722 | + | 0.227833i | ||||
\(256\) | −11.3707 | − | 12.6285i | −0.710670 | − | 0.789279i | ||||
\(257\) | −8.59106 | + | 9.54134i | −0.535896 | + | 0.595173i | −0.948908 | − | 0.315553i | \(-0.897810\pi\) |
0.413012 | + | 0.910725i | \(0.364477\pi\) | |||||||
\(258\) | 3.56089 | − | 2.58714i | 0.221691 | − | 0.161068i | ||||
\(259\) | −2.63802 | + | 4.62759i | −0.163918 | + | 0.287544i | ||||
\(260\) | −0.540802 | − | 1.66442i | −0.0335391 | − | 0.103223i | ||||
\(261\) | 6.23773 | − | 1.32587i | 0.386106 | − | 0.0820693i | ||||
\(262\) | 11.7346 | − | 5.22458i | 0.724966 | − | 0.322776i | ||||
\(263\) | −10.1331 | + | 17.5510i | −0.624831 | + | 1.08224i | 0.363742 | + | 0.931500i | \(0.381499\pi\) |
−0.988573 | + | 0.150740i | \(0.951834\pi\) | |||||||
\(264\) | −7.09441 | − | 6.74641i | −0.436630 | − | 0.415213i | ||||
\(265\) | −14.9897 | −0.920813 | ||||||||
\(266\) | −4.03941 | − | 12.2040i | −0.247672 | − | 0.748272i | ||||
\(267\) | −0.0145775 | + | 0.0448651i | −0.000892131 | + | 0.00274570i | ||||
\(268\) | 8.96534 | − | 9.95702i | 0.547645 | − | 0.608222i | ||||
\(269\) | 1.48867 | + | 14.1638i | 0.0907660 | + | 0.863581i | 0.941280 | + | 0.337628i | \(0.109625\pi\) |
−0.850514 | + | 0.525953i | \(0.823709\pi\) | |||||||
\(270\) | 0.183810 | + | 1.74884i | 0.0111863 | + | 0.106431i | ||||
\(271\) | 3.00094 | − | 3.33289i | 0.182294 | − | 0.202458i | −0.645071 | − | 0.764123i | \(-0.723172\pi\) |
0.827365 | + | 0.561664i | \(0.189839\pi\) | |||||||
\(272\) | −0.990125 | + | 3.04729i | −0.0600351 | + | 0.184769i | ||||
\(273\) | 0.730803 | + | 2.20792i | 0.0442302 | + | 0.133629i | ||||
\(274\) | 14.0484 | 0.848693 | ||||||||
\(275\) | 2.32560 | − | 4.86267i | 0.140239 | − | 0.293230i | ||||
\(276\) | −1.09182 | + | 1.89109i | −0.0657199 | + | 0.113830i | ||||
\(277\) | 18.4125 | − | 8.19777i | 1.10630 | − | 0.492556i | 0.229449 | − | 0.973321i | \(-0.426307\pi\) |
0.876850 | + | 0.480764i | \(0.159641\pi\) | |||||||
\(278\) | 9.03583 | − | 1.92063i | 0.541933 | − | 0.115191i | ||||
\(279\) | 2.58678 | + | 7.96129i | 0.154866 | + | 0.476630i | ||||
\(280\) | 7.10527 | − | 12.4640i | 0.424621 | − | 0.744866i | ||||
\(281\) | 23.9638 | − | 17.4107i | 1.42956 | − | 1.03864i | 0.439462 | − | 0.898261i | \(-0.355169\pi\) |
0.990098 | − | 0.140375i | \(-0.0448309\pi\) | |||||||
\(282\) | −2.01524 | + | 2.23815i | −0.120006 | + | 0.133280i | ||||
\(283\) | 6.63443 | + | 7.36828i | 0.394376 | + | 0.437999i | 0.907331 | − | 0.420416i | \(-0.138116\pi\) |
−0.512955 | + | 0.858415i | \(0.671449\pi\) | |||||||
\(284\) | −1.13738 | + | 0.506393i | −0.0674910 | + | 0.0300489i | ||||
\(285\) | 4.66240 | + | 8.07552i | 0.276177 | + | 0.478352i | ||||
\(286\) | −2.62967 | − | 0.934301i | −0.155496 | − | 0.0552464i | ||||
\(287\) | 0.978429 | − | 9.82712i | 0.0577549 | − | 0.580077i | ||||
\(288\) | −4.26652 | − | 3.09981i | −0.251407 | − | 0.182658i | ||||
\(289\) | −6.56167 | + | 1.39473i | −0.385981 | + | 0.0820427i | ||||
\(290\) | −10.9689 | − | 2.33150i | −0.644113 | − | 0.136911i | ||||
\(291\) | 1.00098 | + | 9.52367i | 0.0586784 | + | 0.558288i | ||||
\(292\) | 1.94638 | + | 0.866583i | 0.113903 | + | 0.0507129i | ||||
\(293\) | 5.08316 | + | 15.6443i | 0.296961 | + | 0.913953i | 0.982556 | + | 0.185969i | \(0.0595424\pi\) |
−0.685594 | + | 0.727984i | \(0.740458\pi\) | |||||||
\(294\) | −3.28643 | + | 5.83921i | −0.191669 | + | 0.340550i | ||||
\(295\) | 9.46578 | + | 6.87729i | 0.551119 | + | 0.400411i | ||||
\(296\) | −2.97144 | − | 5.14668i | −0.172711 | − | 0.299145i | ||||
\(297\) | −2.82608 | − | 1.73588i | −0.163986 | − | 0.100726i | ||||
\(298\) | −4.45288 | + | 7.71261i | −0.257948 | + | 0.446779i | ||||
\(299\) | −0.185141 | + | 1.76149i | −0.0107070 | + | 0.101870i | ||||
\(300\) | 0.544267 | − | 1.67508i | 0.0314232 | − | 0.0967108i | ||||
\(301\) | −11.8859 | + | 2.59461i | −0.685090 | + | 0.149551i | ||||
\(302\) | 0.255454 | − | 0.185598i | 0.0146997 | − | 0.0106800i | ||||
\(303\) | −15.3837 | − | 6.84928i | −0.883773 | − | 0.393481i | ||||
\(304\) | 3.26721 | + | 0.694468i | 0.187388 | + | 0.0398305i | ||||
\(305\) | 17.7400 | + | 19.7022i | 1.01579 | + | 1.12815i | ||||
\(306\) | −0.487186 | + | 4.63527i | −0.0278506 | + | 0.264981i | ||||
\(307\) | 21.7379 | 1.24065 | 0.620323 | − | 0.784347i | \(-0.287002\pi\) | ||||
0.620323 | + | 0.784347i | \(0.287002\pi\) | |||||||
\(308\) | 3.67819 | + | 8.76961i | 0.209584 | + | 0.499695i | ||||
\(309\) | −8.93033 | −0.508029 | ||||||||
\(310\) | 1.53867 | − | 14.6395i | 0.0873908 | − | 0.831468i | ||||
\(311\) | −4.38934 | − | 4.87486i | −0.248897 | − | 0.276428i | 0.605730 | − | 0.795670i | \(-0.292881\pi\) |
−0.854627 | + | 0.519242i | \(0.826214\pi\) | |||||||
\(312\) | −2.53805 | − | 0.539479i | −0.143689 | − | 0.0305420i | ||||
\(313\) | −6.96762 | − | 3.10218i | −0.393833 | − | 0.175346i | 0.200259 | − | 0.979743i | \(-0.435822\pi\) |
−0.594092 | + | 0.804397i | \(0.702488\pi\) | |||||||
\(314\) | −12.1249 | + | 8.80925i | −0.684247 | + | 0.497135i | ||||
\(315\) | 1.47658 | − | 4.63069i | 0.0831961 | − | 0.260910i | ||||
\(316\) | −2.72763 | + | 8.39478i | −0.153441 | + | 0.472243i | ||||
\(317\) | 2.76239 | − | 26.2824i | 0.155151 | − | 1.47617i | −0.588987 | − | 0.808142i | \(-0.700473\pi\) |
0.744139 | − | 0.668025i | \(-0.232860\pi\) | |||||||
\(318\) | −3.90527 | + | 6.76412i | −0.218996 | + | 0.379313i | ||||
\(319\) | 16.0972 | − | 13.7193i | 0.901270 | − | 0.768134i | ||||
\(320\) | 5.84571 | + | 10.1251i | 0.326785 | + | 0.566008i | ||||
\(321\) | 6.61606 | + | 4.80685i | 0.369273 | + | 0.268292i | ||||
\(322\) | −4.11184 | + | 3.02201i | −0.229144 | + | 0.168410i | ||||
\(323\) | 7.63744 | + | 23.5056i | 0.424958 | + | 1.30789i | ||||
\(324\) | −0.990041 | − | 0.440795i | −0.0550023 | − | 0.0244886i | ||||
\(325\) | −0.149331 | − | 1.42079i | −0.00828337 | − | 0.0788110i | ||||
\(326\) | −16.0423 | − | 3.40990i | −0.888501 | − | 0.188857i | ||||
\(327\) | −18.9919 | + | 4.03686i | −1.05026 | + | 0.223239i | ||||
\(328\) | 8.91383 | + | 6.47628i | 0.492184 | + | 0.357593i | ||||
\(329\) | 7.58607 | − | 3.42749i | 0.418234 | − | 0.188964i | ||||
\(330\) | 3.29837 | + | 4.80990i | 0.181569 | + | 0.264776i | ||||
\(331\) | −12.8464 | − | 22.2505i | −0.706100 | − | 1.22300i | −0.966293 | − | 0.257444i | \(-0.917120\pi\) |
0.260193 | − | 0.965557i | \(-0.416214\pi\) | |||||||
\(332\) | 4.99274 | − | 2.22291i | 0.274012 | − | 0.121998i | ||||
\(333\) | −1.34716 | − | 1.49617i | −0.0738240 | − | 0.0819899i | ||||
\(334\) | −0.466459 | + | 0.518055i | −0.0255235 | + | 0.0283467i | ||||
\(335\) | −18.3745 | + | 13.3498i | −1.00390 | + | 0.729379i | ||||
\(336\) | −0.878769 | − | 1.50298i | −0.0479408 | − | 0.0819944i | ||||
\(337\) | −0.358470 | − | 1.10326i | −0.0195271 | − | 0.0600982i | 0.940818 | − | 0.338912i | \(-0.110059\pi\) |
−0.960345 | + | 0.278814i | \(0.910059\pi\) | |||||||
\(338\) | 11.4484 | − | 2.43343i | 0.622711 | − | 0.132361i | ||||
\(339\) | −16.2795 | + | 7.24809i | −0.884180 | + | 0.393662i | ||||
\(340\) | −4.84693 | + | 8.39514i | −0.262862 | + | 0.455290i | ||||
\(341\) | 20.1190 | + | 19.1321i | 1.08950 | + | 1.03606i | ||||
\(342\) | 4.85877 | 0.262732 | ||||||||
\(343\) | 14.8021 | − | 11.1309i | 0.799240 | − | 0.601012i | ||||
\(344\) | 4.19431 | − | 12.9088i | 0.226142 | − | 0.695994i | ||||
\(345\) | 2.47682 | − | 2.75078i | 0.133347 | − | 0.148097i | ||||
\(346\) | 0.861880 | + | 8.20024i | 0.0463349 | + | 0.440847i | ||||
\(347\) | 1.96687 | + | 18.7135i | 0.105587 | + | 1.00459i | 0.911148 | + | 0.412080i | \(0.135198\pi\) |
−0.805561 | + | 0.592513i | \(0.798136\pi\) | |||||||
\(348\) | 4.62441 | − | 5.13593i | 0.247894 | − | 0.275315i | ||||
\(349\) | −10.3293 | + | 31.7902i | −0.552913 | + | 1.70169i | 0.148481 | + | 0.988915i | \(0.452562\pi\) |
−0.701393 | + | 0.712774i | \(0.747438\pi\) | |||||||
\(350\) | 2.73727 | − | 3.07377i | 0.146313 | − | 0.164300i | ||||
\(351\) | −0.879039 | −0.0469196 | ||||||||
\(352\) | −17.3389 | − | 2.30110i | −0.924167 | − | 0.122649i | ||||
\(353\) | 1.32431 | − | 2.29378i | 0.0704860 | − | 0.122085i | −0.828628 | − | 0.559799i | \(-0.810878\pi\) |
0.899114 | + | 0.437714i | \(0.144212\pi\) | |||||||
\(354\) | 5.56949 | − | 2.47970i | 0.296015 | − | 0.131794i | ||||
\(355\) | 2.06433 | − | 0.438788i | 0.109563 | − | 0.0232884i | ||||
\(356\) | 0.0157982 | + | 0.0486219i | 0.000837303 | + | 0.00257695i | ||||
\(357\) | 6.37997 | − | 11.1917i | 0.337664 | − | 0.592327i | ||||
\(358\) | −10.0002 | + | 7.26557i | −0.528527 | + | 0.383997i | ||||
\(359\) | −16.2648 | + | 18.0639i | −0.858422 | + | 0.953374i | −0.999328 | − | 0.0366489i | \(-0.988332\pi\) |
0.140906 | + | 0.990023i | \(0.454998\pi\) | |||||||
\(360\) | 3.62846 | + | 4.02982i | 0.191237 | + | 0.212390i | ||||
\(361\) | 6.18018 | − | 2.75159i | 0.325273 | − | 0.144821i | ||||
\(362\) | −8.07684 | − | 13.9895i | −0.424509 | − | 0.735271i | ||||
\(363\) | −10.9837 | − | 0.598601i | −0.576495 | − | 0.0314184i | ||||
\(364\) | 2.04719 | + | 1.47029i | 0.107302 | + | 0.0770641i | ||||
\(365\) | −2.92183 | − | 2.12284i | −0.152936 | − | 0.111114i | ||||
\(366\) | 13.5124 | − | 2.87215i | 0.706304 | − | 0.150130i | ||||
\(367\) | 26.0651 | + | 5.54030i | 1.36059 | + | 0.289202i | 0.829685 | − | 0.558232i | \(-0.188520\pi\) |
0.530901 | + | 0.847434i | \(0.321853\pi\) | |||||||
\(368\) | −0.138596 | − | 1.31865i | −0.00722482 | − | 0.0687396i | ||||
\(369\) | 3.40996 | + | 1.51821i | 0.177516 | + | 0.0790350i | ||||
\(370\) | 1.09402 | + | 3.36705i | 0.0568755 | + | 0.175045i | ||||
\(371\) | 17.3955 | − | 12.7849i | 0.903129 | − | 0.663757i | ||||
\(372\) | 7.33936 | + | 5.33235i | 0.380528 | + | 0.276470i | ||||
\(373\) | −8.22816 | − | 14.2516i | −0.426038 | − | 0.737919i | 0.570479 | − | 0.821312i | \(-0.306758\pi\) |
−0.996517 | + | 0.0833929i | \(0.973424\pi\) | |||||||
\(374\) | 5.90067 | + | 14.2876i | 0.305117 | + | 0.738794i | ||||
\(375\) | −6.08545 | + | 10.5403i | −0.314252 | + | 0.544300i | ||||
\(376\) | −0.970796 | + | 9.23650i | −0.0500650 | + | 0.476336i | ||||
\(377\) | 1.73226 | − | 5.33134i | 0.0892159 | − | 0.274578i | ||||
\(378\) | −1.70491 | − | 1.87274i | −0.0876909 | − | 0.0963233i | ||||
\(379\) | 24.1685 | − | 17.5595i | 1.24145 | − | 0.901969i | 0.243759 | − | 0.969836i | \(-0.421619\pi\) |
0.997694 | + | 0.0678671i | \(0.0216194\pi\) | |||||||
\(380\) | 9.23194 | + | 4.11032i | 0.473588 | + | 0.210855i | ||||
\(381\) | −1.97878 | − | 0.420603i | −0.101376 | − | 0.0215482i | ||||
\(382\) | 7.43631 | + | 8.25885i | 0.380475 | + | 0.422560i | ||||
\(383\) | −2.64383 | + | 25.1543i | −0.135093 | + | 1.28533i | 0.691438 | + | 0.722436i | \(0.256977\pi\) |
−0.826531 | + | 0.562891i | \(0.809689\pi\) | |||||||
\(384\) | −4.45552 | −0.227370 | ||||||||
\(385\) | −3.00801 | − | 15.8370i | −0.153303 | − | 0.807130i | ||||
\(386\) | 15.3653 | 0.782073 | ||||||||
\(387\) | 0.480646 | − | 4.57304i | 0.0244326 | − | 0.232461i | ||||
\(388\) | 6.94423 | + | 7.71235i | 0.352540 | + | 0.391535i | ||||
\(389\) | −13.9755 | − | 2.97059i | −0.708587 | − | 0.150615i | −0.160499 | − | 0.987036i | \(-0.551310\pi\) |
−0.548087 | + | 0.836421i | \(0.684644\pi\) | |||||||
\(390\) | 1.41212 | + | 0.628719i | 0.0715057 | + | 0.0318364i | ||||
\(391\) | 7.93718 | − | 5.76670i | 0.401400 | − | 0.291634i | ||||
\(392\) | 2.38503 | + | 20.5245i | 0.120462 | + | 1.03664i | ||||
\(393\) | 4.14677 | − | 12.7624i | 0.209177 | − | 0.643780i | ||||
\(394\) | −1.33213 | + | 12.6743i | −0.0671116 | + | 0.638524i | ||||
\(395\) | 7.48125 | − | 12.9579i | 0.376422 | − | 0.651983i | ||||
\(396\) | −3.58355 | + | 0.278273i | −0.180080 | + | 0.0139837i | ||||
\(397\) | −13.1093 | − | 22.7059i | −0.657935 | − | 1.13958i | −0.981149 | − | 0.193251i | \(-0.938097\pi\) |
0.323214 | − | 0.946326i | \(-0.395236\pi\) | |||||||
\(398\) | −8.26041 | − | 6.00154i | −0.414057 | − | 0.300830i | ||||
\(399\) | −12.2984 | − | 5.39498i | −0.615688 | − | 0.270087i | ||||
\(400\) | 0.330481 | + | 1.01712i | 0.0165240 | + | 0.0508558i | ||||
\(401\) | 17.1244 | + | 7.62425i | 0.855149 | + | 0.380737i | 0.787011 | − | 0.616939i | \(-0.211627\pi\) |
0.0681383 | + | 0.997676i | \(0.478294\pi\) | |||||||
\(402\) | 1.23702 | + | 11.7695i | 0.0616971 | + | 0.587009i | ||||
\(403\) | 7.19763 | + | 1.52990i | 0.358540 | + | 0.0762100i | ||||
\(404\) | −17.8509 | + | 3.79432i | −0.888114 | + | 0.188774i | ||||
\(405\) | 1.48622 | + | 1.07980i | 0.0738506 | + | 0.0536556i | ||||
\(406\) | 14.7178 | − | 6.64973i | 0.730434 | − | 0.330020i | ||||
\(407\) | −6.29203 | − | 2.23551i | −0.311885 | − | 0.110810i | ||||
\(408\) | 7.18634 | + | 12.4471i | 0.355777 | + | 0.616223i | ||||
\(409\) | −8.68694 | + | 3.86767i | −0.429541 | + | 0.191244i | −0.610107 | − | 0.792319i | \(-0.708874\pi\) |
0.180566 | + | 0.983563i | \(0.442207\pi\) | |||||||
\(410\) | −4.39203 | − | 4.87784i | −0.216907 | − | 0.240899i | ||||
\(411\) | 9.82034 | − | 10.9066i | 0.484402 | − | 0.537982i | ||||
\(412\) | −7.82976 | + | 5.68865i | −0.385744 | + | 0.280260i | ||||
\(413\) | −16.8507 | + | 0.0923868i | −0.829167 | + | 0.00454606i | ||||
\(414\) | −0.596007 | − | 1.83432i | −0.0292922 | − | 0.0901520i | ||||
\(415\) | −9.06180 | + | 1.92615i | −0.444826 | + | 0.0945508i | ||||
\(416\) | −4.23502 | + | 1.88555i | −0.207639 | + | 0.0924467i | ||||
\(417\) | 4.82529 | − | 8.35764i | 0.236295 | − | 0.409276i | ||||
\(418\) | 14.1699 | − | 7.67450i | 0.693072 | − | 0.375372i | ||||
\(419\) | 6.69317 | 0.326983 | 0.163491 | − | 0.986545i | \(-0.447724\pi\) | ||||
0.163491 | + | 0.986545i | \(0.447724\pi\) | |||||||
\(420\) | −1.65516 | − | 5.00060i | −0.0807634 | − | 0.244004i | ||||
\(421\) | 2.17058 | − | 6.68035i | 0.105787 | − | 0.325580i | −0.884127 | − | 0.467247i | \(-0.845246\pi\) |
0.989914 | + | 0.141666i | \(0.0452460\pi\) | |||||||
\(422\) | 1.47466 | − | 1.63777i | 0.0717853 | − | 0.0797256i | ||||
\(423\) | 0.328882 | + | 3.12910i | 0.0159908 | + | 0.152142i | ||||
\(424\) | 2.51763 | + | 23.9537i | 0.122267 | + | 1.16329i | ||||
\(425\) | −5.29501 | + | 5.88071i | −0.256846 | + | 0.285256i | ||||
\(426\) | 0.339816 | − | 1.04585i | 0.0164642 | − | 0.0506715i | ||||
\(427\) | −37.3913 | − | 7.73374i | −1.80949 | − | 0.374262i | ||||
\(428\) | 8.86268 | 0.428394 | ||||||||
\(429\) | −2.56359 | + | 1.38846i | −0.123771 | + | 0.0670353i | ||||
\(430\) | −4.04292 | + | 7.00255i | −0.194967 | + | 0.337693i | ||||
\(431\) | 10.7595 | − | 4.79046i | 0.518269 | − | 0.230748i | −0.130896 | − | 0.991396i | \(-0.541785\pi\) |
0.649165 | + | 0.760648i | \(0.275119\pi\) | |||||||
\(432\) | 0.643668 | − | 0.136816i | 0.0309685 | − | 0.00658256i | ||||
\(433\) | −6.04688 | − | 18.6104i | −0.290594 | − | 0.894357i | −0.984666 | − | 0.174451i | \(-0.944185\pi\) |
0.694071 | − | 0.719906i | \(-0.255815\pi\) | |||||||
\(434\) | 10.7005 | + | 18.3014i | 0.513641 | + | 0.878495i | ||||
\(435\) | −9.47772 | + | 6.88597i | −0.454422 | + | 0.330157i | ||||
\(436\) | −14.0799 | + | 15.6373i | −0.674304 | + | 0.748891i | ||||
\(437\) | −6.84361 | − | 7.60059i | −0.327374 | − | 0.363586i | ||||
\(438\) | −1.71915 | + | 0.765416i | −0.0821443 | + | 0.0365730i | ||||
\(439\) | −5.59577 | − | 9.69215i | −0.267071 | − | 0.462581i | 0.701033 | − | 0.713129i | \(-0.252723\pi\) |
−0.968104 | + | 0.250548i | \(0.919389\pi\) | |||||||
\(440\) | 16.9470 | + | 6.02116i | 0.807919 | + | 0.287047i | ||||
\(441\) | 2.23599 | + | 6.63328i | 0.106476 | + | 0.315870i | ||||
\(442\) | 3.31456 | + | 2.40817i | 0.157658 | + | 0.114545i | ||||
\(443\) | −34.5853 | + | 7.35133i | −1.64320 | + | 0.349272i | −0.934424 | − | 0.356163i | \(-0.884085\pi\) |
−0.708774 | + | 0.705436i | \(0.750751\pi\) | |||||||
\(444\) | −2.13421 | − | 0.453640i | −0.101285 | − | 0.0215288i | ||||
\(445\) | −0.00905860 | − | 0.0861868i | −0.000429419 | − | 0.00408565i | ||||
\(446\) | 19.1211 | + | 8.51326i | 0.905410 | + | 0.403115i | ||||
\(447\) | 2.87503 | + | 8.84843i | 0.135984 | + | 0.418516i | ||||
\(448\) | −15.4196 | − | 6.76422i | −0.728510 | − | 0.319579i | ||||
\(449\) | −21.7732 | − | 15.8192i | −1.02754 | − | 0.746553i | −0.0597271 | − | 0.998215i | \(-0.519023\pi\) |
−0.967815 | + | 0.251661i | \(0.919023\pi\) | |||||||
\(450\) | 0.777834 | + | 1.34725i | 0.0366674 | + | 0.0635098i | ||||
\(451\) | 12.3427 | − | 0.958444i | 0.581195 | − | 0.0451314i | ||||
\(452\) | −9.65614 | + | 16.7249i | −0.454187 | + | 0.786675i | ||||
\(453\) | 0.0344810 | − | 0.328064i | 0.00162006 | − | 0.0154138i | ||||
\(454\) | 3.03248 | − | 9.33302i | 0.142321 | − | 0.438020i | ||||
\(455\) | −2.87622 | − | 3.15936i | −0.134839 | − | 0.148113i | ||||
\(456\) | 12.1216 | − | 8.80687i | 0.567647 | − | 0.412420i | ||||
\(457\) | 25.8901 | + | 11.5270i | 1.21109 | + | 0.539211i | 0.910089 | − | 0.414413i | \(-0.136013\pi\) |
0.300999 | + | 0.953624i | \(0.402680\pi\) | |||||||
\(458\) | −19.8895 | − | 4.22764i | −0.929375 | − | 0.197545i | ||||
\(459\) | 3.25807 | + | 3.61846i | 0.152074 | + | 0.168895i | ||||
\(460\) | 0.419315 | − | 3.98952i | 0.0195507 | − | 0.186012i | ||||
\(461\) | −25.7227 | −1.19803 | −0.599014 | − | 0.800739i | \(-0.704440\pi\) | ||||
−0.599014 | + | 0.800739i | \(0.704440\pi\) | |||||||
\(462\) | −7.93013 | − | 2.76864i | −0.368943 | − | 0.128809i | ||||
\(463\) | 26.9302 | 1.25155 | 0.625777 | − | 0.780002i | \(-0.284782\pi\) | ||||
0.625777 | + | 0.780002i | \(0.284782\pi\) | |||||||
\(464\) | −0.438646 | + | 4.17344i | −0.0203636 | + | 0.193747i | ||||
\(465\) | −10.2899 | − | 11.4281i | −0.477184 | − | 0.529966i | ||||
\(466\) | −14.5613 | − | 3.09511i | −0.674541 | − | 0.143378i | ||||
\(467\) | −24.6170 | − | 10.9602i | −1.13914 | − | 0.507177i | −0.251564 | − | 0.967841i | \(-0.580945\pi\) |
−0.887575 | + | 0.460663i | \(0.847612\pi\) | |||||||
\(468\) | −0.770706 | + | 0.559951i | −0.0356259 | + | 0.0258837i | ||||
\(469\) | 9.93726 | − | 31.1641i | 0.458860 | − | 1.43902i | ||||
\(470\) | 1.70971 | − | 5.26195i | 0.0788631 | − | 0.242716i | ||||
\(471\) | −1.63661 | + | 15.5713i | −0.0754109 | + | 0.717487i | ||||
\(472\) | 9.40009 | − | 16.2814i | 0.432674 | − | 0.749414i | ||||
\(473\) | −5.82146 | − | 14.0958i | −0.267671 | − | 0.648125i | ||||
\(474\) | −3.89817 | − | 6.75182i | −0.179049 | − | 0.310121i | ||||
\(475\) | 6.67389 | + | 4.84887i | 0.306219 | + | 0.222481i | ||||
\(476\) | −1.53544 | − | 13.8765i | −0.0703769 | − | 0.636028i | ||||
\(477\) | 2.52146 | + | 7.76026i | 0.115450 | + | 0.355318i | ||||
\(478\) | 14.1893 | + | 6.31749i | 0.649005 | + | 0.288955i | ||||
\(479\) | −0.691351 | − | 6.57777i | −0.0315886 | − | 0.300546i | −0.998897 | − | 0.0469446i | \(-0.985052\pi\) |
0.967309 | − | 0.253601i | \(-0.0816151\pi\) | |||||||
\(480\) | 9.47644 | + | 2.01428i | 0.432538 | + | 0.0919388i | ||||
\(481\) | −1.73110 | + | 0.367956i | −0.0789312 | + | 0.0167774i | ||||
\(482\) | −12.2348 | − | 8.88908i | −0.557279 | − | 0.404887i | ||||
\(483\) | −0.528164 | + | 5.30476i | −0.0240323 | + | 0.241375i | ||||
\(484\) | −10.0114 | + | 6.47183i | −0.455063 | + | 0.294174i | ||||
\(485\) | −8.79598 | − | 15.2351i | −0.399405 | − | 0.691790i | ||||
\(486\) | 0.874462 | − | 0.389335i | 0.0396664 | − | 0.0176606i | ||||
\(487\) | −11.5305 | − | 12.8059i | −0.522498 | − | 0.580293i | 0.422914 | − | 0.906170i | \(-0.361007\pi\) |
−0.945412 | + | 0.325877i | \(0.894340\pi\) | |||||||
\(488\) | 28.5047 | − | 31.6576i | 1.29035 | − | 1.43307i | ||||
\(489\) | −13.8615 | + | 10.0710i | −0.626838 | + | 0.455424i | ||||
\(490\) | 1.15236 | − | 12.2552i | 0.0520584 | − | 0.553635i | ||||
\(491\) | −5.60350 | − | 17.2458i | −0.252883 | − | 0.778292i | −0.994239 | − | 0.107181i | \(-0.965817\pi\) |
0.741357 | − | 0.671111i | \(-0.234183\pi\) | |||||||
\(492\) | 3.95682 | − | 0.841049i | 0.178387 | − | 0.0379174i | ||||
\(493\) | −28.3663 | + | 12.6295i | −1.27755 | + | 0.568803i | ||||
\(494\) | 2.13552 | − | 3.69883i | 0.0960817 | − | 0.166418i | ||||
\(495\) | 6.03989 | + | 0.801575i | 0.271473 | + | 0.0360281i | ||||
\(496\) | −5.50852 | −0.247340 | ||||||||
\(497\) | −2.02140 | + | 2.26990i | −0.0906722 | + | 0.101819i | ||||
\(498\) | −1.49169 | + | 4.59095i | −0.0668443 | + | 0.205726i | ||||
\(499\) | −1.41687 | + | 1.57359i | −0.0634276 | + | 0.0704435i | −0.774023 | − | 0.633157i | \(-0.781759\pi\) |
0.710596 | + | 0.703600i | \(0.248425\pi\) | |||||||
\(500\) | 1.37873 | + | 13.1178i | 0.0616589 | + | 0.586645i | ||||
\(501\) | 0.0761249 | + | 0.724280i | 0.00340101 | + | 0.0323584i | ||||
\(502\) | −3.84382 | + | 4.26900i | −0.171558 | + | 0.190535i | ||||
\(503\) | 2.48907 | − | 7.66058i | 0.110982 | − | 0.341568i | −0.880106 | − | 0.474778i | \(-0.842528\pi\) |
0.991088 | + | 0.133210i | \(0.0425284\pi\) | |||||||
\(504\) | −7.64787 | − | 1.58183i | −0.340663 | − | 0.0704603i | ||||
\(505\) | 30.9354 | 1.37661 | ||||||||
\(506\) | −4.63551 | − | 4.40813i | −0.206074 | − | 0.195965i | ||||
\(507\) | 6.11365 | − | 10.5891i | 0.271517 | − | 0.470280i | ||||
\(508\) | −2.00284 | + | 0.891723i | −0.0888618 | + | 0.0395638i | ||||
\(509\) | −30.6113 | + | 6.50663i | −1.35682 | + | 0.288401i | −0.828188 | − | 0.560450i | \(-0.810628\pi\) |
−0.528632 | + | 0.848851i | \(0.677295\pi\) | |||||||
\(510\) | −2.64586 | − | 8.14312i | −0.117161 | − | 0.360583i | ||||
\(511\) | 5.20135 | − | 0.0285173i | 0.230094 | − | 0.00126153i | ||||
\(512\) | 5.95050 | − | 4.32329i | 0.262977 | − | 0.191064i | ||||
\(513\) | 3.39646 | − | 3.77215i | 0.149957 | − | 0.166544i | ||||
\(514\) | −8.22351 | − | 9.13314i | −0.362724 | − | 0.402845i | ||||
\(515\) | 14.9872 | − | 6.67275i | 0.660417 | − | 0.294037i | ||||
\(516\) | −2.49163 | − | 4.31563i | −0.109688 | − | 0.189985i | ||||
\(517\) | 5.90161 | + | 8.60610i | 0.259552 | + | 0.378496i | ||||
\(518\) | −4.14139 | − | 2.97434i | −0.181962 | − | 0.130685i | ||||
\(519\) | 6.96882 | + | 5.06314i | 0.305897 | + | 0.222247i | ||||
\(520\) | 4.66256 | − | 0.991058i | 0.204467 | − | 0.0434608i | ||||
\(521\) | 8.11791 | + | 1.72551i | 0.355652 | + | 0.0755962i | 0.382273 | − | 0.924049i | \(-0.375141\pi\) |
−0.0266210 | + | 0.999646i | \(0.508475\pi\) | |||||||
\(522\) | 0.638069 | + | 6.07082i | 0.0279275 | + | 0.265712i | ||||
\(523\) | −3.04617 | − | 1.35624i | −0.133200 | − | 0.0593043i | 0.339055 | − | 0.940767i | \(-0.389893\pi\) |
−0.472254 | + | 0.881462i | \(0.656560\pi\) | |||||||
\(524\) | −4.49400 | − | 13.8311i | −0.196321 | − | 0.604215i | ||||
\(525\) | −0.472897 | − | 4.27378i | −0.0206389 | − | 0.186523i | ||||
\(526\) | −15.6942 | − | 11.4025i | −0.684299 | − | 0.497172i | ||||
\(527\) | −20.3797 | − | 35.2986i | −0.887752 | − | 1.53763i | ||||
\(528\) | 1.66106 | − | 1.41569i | 0.0722885 | − | 0.0616099i | ||||
\(529\) | 9.47004 | − | 16.4026i | 0.411741 | − | 0.713156i | ||||
\(530\) | 1.49982 | − | 14.2698i | 0.0651481 | − | 0.619842i | ||||
\(531\) | 1.96814 | − | 6.05733i | 0.0854102 | − | 0.262866i | ||||
\(532\) | −14.2193 | + | 3.10399i | −0.616486 | + | 0.134575i | ||||
\(533\) | 2.65452 | − | 1.92862i | 0.114980 | − | 0.0835377i | ||||
\(534\) | −0.0412518 | − | 0.0183665i | −0.00178514 | − | 0.000794795i | ||||
\(535\) | −14.6950 | − | 3.12353i | −0.635322 | − | 0.135042i | ||||
\(536\) | 24.4192 | + | 27.1203i | 1.05475 | + | 1.17142i | ||||
\(537\) | −1.34982 | + | 12.8426i | −0.0582489 | + | 0.554201i | ||||
\(538\) | −13.6325 | −0.587739 | ||||||||
\(539\) | 16.9983 | + | 15.8132i | 0.732169 | + | 0.681123i | ||||
\(540\) | 1.99089 | 0.0856743 | ||||||||
\(541\) | 0.537553 | − | 5.11447i | 0.0231112 | − | 0.219888i | −0.976870 | − | 0.213832i | \(-0.931405\pi\) |
0.999982 | − | 0.00605644i | \(-0.00192784\pi\) | |||||||
\(542\) | 2.87256 | + | 3.19030i | 0.123387 | + | 0.137035i | ||||
\(543\) | −16.5069 | − | 3.50865i | −0.708378 | − | 0.150570i | ||||
\(544\) | 23.4583 | + | 10.4443i | 1.00577 | + | 0.447796i | ||||
\(545\) | 28.8567 | − | 20.9656i | 1.23609 | − | 0.898069i | ||||
\(546\) | −2.17500 | + | 0.474789i | −0.0930814 | + | 0.0203191i | ||||
\(547\) | 12.4929 | − | 38.4491i | 0.534157 | − | 1.64397i | −0.211307 | − | 0.977420i | \(-0.567772\pi\) |
0.745464 | − | 0.666546i | \(-0.232228\pi\) | |||||||
\(548\) | 1.66254 | − | 15.8181i | 0.0710204 | − | 0.675714i | ||||
\(549\) | 7.21585 | − | 12.4982i | 0.307965 | − | 0.533411i | ||||
\(550\) | 4.39644 | + | 2.70045i | 0.187465 | + | 0.115148i | ||||
\(551\) | 16.1848 | + | 28.0329i | 0.689496 | + | 1.19424i | ||||
\(552\) | −4.81176 | − | 3.49595i | −0.204802 | − | 0.148797i | ||||
\(553\) | 2.36996 | + | 21.4184i | 0.100781 | + | 0.910801i | ||||
\(554\) | 5.96177 | + | 18.3484i | 0.253291 | + | 0.779551i | ||||
\(555\) | 3.37881 | + | 1.50434i | 0.143422 | + | 0.0638557i | ||||
\(556\) | −1.09323 | − | 10.4014i | −0.0463632 | − | 0.441116i | ||||
\(557\) | 4.60647 | + | 0.979135i | 0.195182 | + | 0.0414873i | 0.304465 | − | 0.952523i | \(-0.401522\pi\) |
−0.109283 | + | 0.994011i | \(0.534856\pi\) | |||||||
\(558\) | −7.83776 | + | 1.66597i | −0.331799 | + | 0.0705260i | ||||
\(559\) | −3.27007 | − | 2.37584i | −0.138309 | − | 0.100487i | ||||
\(560\) | 2.59782 | + | 1.86575i | 0.109778 | + | 0.0788423i | ||||
\(561\) | 15.2171 | + | 5.40652i | 0.642467 | + | 0.228264i | ||||
\(562\) | 14.1768 | + | 24.5550i | 0.598013 | + | 1.03579i | ||||
\(563\) | 13.1215 | − | 5.84208i | 0.553006 | − | 0.246214i | −0.111156 | − | 0.993803i | \(-0.535455\pi\) |
0.664162 | + | 0.747589i | \(0.268789\pi\) | |||||||
\(564\) | 2.28160 | + | 2.53397i | 0.0960727 | + | 0.106700i | ||||
\(565\) | 21.9051 | − | 24.3281i | 0.921555 | − | 1.02349i | ||||
\(566\) | −7.67823 | + | 5.57856i | −0.322740 | + | 0.234484i | ||||
\(567\) | −2.64571 | + | 0.0145056i | −0.111109 | + | 0.000609177i | ||||
\(568\) | −1.04790 | − | 3.22512i | −0.0439691 | − | 0.135323i | ||||
\(569\) | 4.65221 | − | 0.988858i | 0.195031 | − | 0.0414551i | −0.109360 | − | 0.994002i | \(-0.534880\pi\) |
0.304391 | + | 0.952547i | \(0.401547\pi\) | |||||||
\(570\) | −8.15418 | + | 3.63048i | −0.341541 | + | 0.152064i | ||||
\(571\) | −18.1081 | + | 31.3641i | −0.757800 | + | 1.31255i | 0.186170 | + | 0.982518i | \(0.440392\pi\) |
−0.943970 | + | 0.330031i | \(0.892941\pi\) | |||||||
\(572\) | −1.36320 | + | 2.85036i | −0.0569983 | + | 0.119180i | ||||
\(573\) | 11.6101 | 0.485019 | ||||||||
\(574\) | 9.25726 | + | 1.91471i | 0.386391 | + | 0.0799183i | ||||
\(575\) | 1.01192 | − | 3.11438i | 0.0422001 | − | 0.129878i | ||||
\(576\) | 4.25847 | − | 4.72951i | 0.177436 | − | 0.197063i | ||||
\(577\) | 2.54141 | + | 24.1799i | 0.105800 | + | 1.00662i | 0.910660 | + | 0.413157i | \(0.135574\pi\) |
−0.804860 | + | 0.593465i | \(0.797760\pi\) | |||||||
\(578\) | −0.671205 | − | 6.38609i | −0.0279184 | − | 0.265626i | ||||
\(579\) | 10.7409 | − | 11.9290i | 0.446377 | − | 0.495752i | ||||
\(580\) | −3.92330 | + | 12.0747i | −0.162906 | + | 0.501374i | ||||
\(581\) | 8.87333 | − | 9.96416i | 0.368128 | − | 0.413383i | ||||
\(582\) | −9.16644 | −0.379961 | ||||||||
\(583\) | 19.6109 | + | 18.6490i | 0.812202 | + | 0.772362i | ||||
\(584\) | −2.90156 | + | 5.02565i | −0.120067 | + | 0.207963i | ||||
\(585\) | 1.47524 | − | 0.656819i | 0.0609937 | − | 0.0271561i | ||||
\(586\) | −15.4016 | + | 3.27371i | −0.636235 | + | 0.135236i | ||||
\(587\) | 9.07962 | + | 27.9442i | 0.374756 | + | 1.15338i | 0.943643 | + | 0.330965i | \(0.107374\pi\) |
−0.568887 | + | 0.822415i | \(0.692626\pi\) | |||||||
\(588\) | 6.18584 | + | 4.39146i | 0.255100 | + | 0.181101i | ||||
\(589\) | −34.3756 | + | 24.9753i | −1.41642 | + | 1.02909i | ||||
\(590\) | −7.49411 | + | 8.32306i | −0.308528 | + | 0.342655i | ||||
\(591\) | 8.90864 | + | 9.89405i | 0.366453 | + | 0.406987i | ||||
\(592\) | 1.21031 | − | 0.538865i | 0.0497435 | − | 0.0221472i | ||||
\(593\) | −4.66266 | − | 8.07596i | −0.191472 | − | 0.331640i | 0.754266 | − | 0.656569i | \(-0.227993\pi\) |
−0.945738 | + | 0.324929i | \(0.894660\pi\) | |||||||
\(594\) | 1.93528 | − | 2.51667i | 0.0794054 | − | 0.103260i | ||||
\(595\) | −2.34468 | + | 23.5495i | −0.0961226 | + | 0.965434i | ||||
\(596\) | 8.15719 | + | 5.92655i | 0.334132 | + | 0.242761i | ||||
\(597\) | −10.4337 | + | 2.21775i | −0.427022 | + | 0.0907664i | ||||
\(598\) | −1.65837 | − | 0.352498i | −0.0678159 | − | 0.0144147i | ||||
\(599\) | 1.65144 | + | 15.7124i | 0.0674758 | + | 0.641990i | 0.975033 | + | 0.222061i | \(0.0712783\pi\) |
−0.907557 | + | 0.419929i | \(0.862055\pi\) | |||||||
\(600\) | 4.38252 | + | 1.95122i | 0.178916 | + | 0.0796584i | ||||
\(601\) | −0.538086 | − | 1.65606i | −0.0219490 | − | 0.0675521i | 0.939482 | − | 0.342598i | \(-0.111307\pi\) |
−0.961431 | + | 0.275046i | \(0.911307\pi\) | |||||||
\(602\) | −1.28074 | − | 11.5746i | −0.0521992 | − | 0.471747i | ||||
\(603\) | 10.0021 | + | 7.26694i | 0.407316 | + | 0.295933i | ||||
\(604\) | −0.178747 | − | 0.309598i | −0.00727310 | − | 0.0125974i | ||||
\(605\) | 18.8806 | − | 7.20244i | 0.767604 | − | 0.292821i | ||||
\(606\) | 8.05958 | − | 13.9596i | 0.327398 | − | 0.567070i | ||||
\(607\) | −2.37121 | + | 22.5606i | −0.0962446 | + | 0.915706i | 0.834739 | + | 0.550645i | \(0.185618\pi\) |
−0.930984 | + | 0.365060i | \(0.881048\pi\) | |||||||
\(608\) | 8.27207 | − | 25.4588i | 0.335477 | − | 1.03249i | ||||
\(609\) | 5.12574 | − | 16.0747i | 0.207705 | − | 0.651381i | ||||
\(610\) | −20.5310 | + | 14.9166i | −0.831275 | + | 0.603957i | ||||
\(611\) | 2.52664 | + | 1.12493i | 0.102217 | + | 0.0455100i | ||||
\(612\) | 5.16152 | + | 1.09711i | 0.208642 | + | 0.0443482i | ||||
\(613\) | −6.47308 | − | 7.18908i | −0.261445 | − | 0.290364i | 0.598103 | − | 0.801419i | \(-0.295921\pi\) |
−0.859548 | + | 0.511055i | \(0.829255\pi\) | |||||||
\(614\) | −2.17501 | + | 20.6939i | −0.0877764 | + | 0.835137i | ||||
\(615\) | −6.85715 | −0.276507 | ||||||||
\(616\) | −24.8024 | + | 7.46675i | −0.999318 | + | 0.300844i | ||||
\(617\) | −28.4936 | −1.14711 | −0.573554 | − | 0.819168i | \(-0.694436\pi\) | ||||
−0.573554 | + | 0.819168i | \(0.694436\pi\) | |||||||
\(618\) | 0.893537 | − | 8.50144i | 0.0359433 | − | 0.341978i | ||||
\(619\) | −31.2641 | − | 34.7223i | −1.25661 | − | 1.39561i | −0.883913 | − | 0.467652i | \(-0.845100\pi\) |
−0.372696 | − | 0.927953i | \(-0.621567\pi\) | |||||||
\(620\) | −16.3015 | − | 3.46500i | −0.654686 | − | 0.139158i | ||||
\(621\) | −1.84072 | − | 0.819543i | −0.0738657 | − | 0.0328871i | ||||
\(622\) | 5.07992 | − | 3.69078i | 0.203686 | − | 0.147987i | ||||
\(623\) | 0.0840218 | + | 0.0922930i | 0.00336626 | + | 0.00369764i | ||||
\(624\) | 0.178751 | − | 0.550139i | 0.00715576 | − | 0.0220232i | ||||
\(625\) | 1.48773 | − | 14.1548i | 0.0595091 | − | 0.566191i | ||||
\(626\) | 3.65035 | − | 6.32259i | 0.145897 | − | 0.252702i | ||||
\(627\) | 3.94711 | − | 16.3657i | 0.157632 | − | 0.653583i | ||||
\(628\) | 8.48405 | + | 14.6948i | 0.338550 | + | 0.586386i | ||||
\(629\) | 7.93079 | + | 5.76206i | 0.316221 | + | 0.229748i | ||||
\(630\) | 4.26056 | + | 1.86900i | 0.169745 | + | 0.0744627i | ||||
\(631\) | 12.0624 | + | 37.1243i | 0.480197 | + | 1.47789i | 0.838819 | + | 0.544410i | \(0.183247\pi\) |
−0.358622 | + | 0.933483i | \(0.616753\pi\) | |||||||
\(632\) | −21.9633 | − | 9.77869i | −0.873653 | − | 0.388975i | ||||
\(633\) | −0.240660 | − | 2.28973i | −0.00956539 | − | 0.0910086i | ||||
\(634\) | 24.7438 | + | 5.25945i | 0.982701 | + | 0.208879i | ||||
\(635\) | 3.63515 | − | 0.772675i | 0.144257 | − | 0.0306627i | ||||
\(636\) | 7.15403 | + | 5.19771i | 0.283676 | + | 0.206103i | ||||
\(637\) | 6.03248 | + | 1.21326i | 0.239015 | + | 0.0480713i | ||||
\(638\) | 11.4498 | + | 16.6968i | 0.453302 | + | 0.661033i | ||||
\(639\) | −0.574409 | − | 0.994906i | −0.0227233 | − | 0.0393579i | ||||
\(640\) | 7.47743 | − | 3.32917i | 0.295572 | − | 0.131597i | ||||
\(641\) | −28.3095 | − | 31.4409i | −1.11816 | − | 1.24184i | −0.967395 | − | 0.253271i | \(-0.918494\pi\) |
−0.150763 | − | 0.988570i | \(-0.548173\pi\) | |||||||
\(642\) | −5.23798 | + | 5.81736i | −0.206726 | + | 0.229593i | ||||
\(643\) | −1.93914 | + | 1.40887i | −0.0764723 | + | 0.0555604i | −0.625365 | − | 0.780333i | \(-0.715050\pi\) |
0.548892 | + | 0.835893i | \(0.315050\pi\) | |||||||
\(644\) | 2.91608 | + | 4.98744i | 0.114910 | + | 0.196533i | ||||
\(645\) | 2.61034 | + | 8.03380i | 0.102782 | + | 0.316331i | ||||
\(646\) | −23.1409 | + | 4.91875i | −0.910467 | + | 0.193526i | ||||
\(647\) | 2.14126 | − | 0.953348i | 0.0841814 | − | 0.0374800i | −0.364214 | − | 0.931315i | \(-0.618662\pi\) |
0.448395 | + | 0.893835i | \(0.351996\pi\) | |||||||
\(648\) | 1.47590 | − | 2.55634i | 0.0579789 | − | 0.100422i | ||||
\(649\) | −3.82784 | − | 20.7740i | −0.150256 | − | 0.815452i | ||||
\(650\) | 1.36749 | 0.0536375 | ||||||||
\(651\) | 21.6885 | + | 4.48590i | 0.850040 | + | 0.175816i | ||||
\(652\) | −5.73796 | + | 17.6596i | −0.224716 | + | 0.691604i | ||||
\(653\) | −7.38649 | + | 8.20353i | −0.289056 | + | 0.321029i | −0.870131 | − | 0.492821i | \(-0.835966\pi\) |
0.581075 | + | 0.813850i | \(0.302632\pi\) | |||||||
\(654\) | −1.94272 | − | 18.4837i | −0.0759663 | − | 0.722771i | ||||
\(655\) | 2.57683 | + | 24.5169i | 0.100685 | + | 0.957956i | ||||
\(656\) | −1.64357 | + | 1.82537i | −0.0641706 | + | 0.0712687i | ||||
\(657\) | −0.607514 | + | 1.86973i | −0.0237014 | + | 0.0729453i | ||||
\(658\) | 2.50385 | + | 7.56468i | 0.0976102 | + | 0.294902i | ||||
\(659\) | −6.03933 | −0.235259 | −0.117630 | − | 0.993058i | \(-0.537530\pi\) | ||||
−0.117630 | + | 0.993058i | \(0.537530\pi\) | |||||||
\(660\) | 5.80614 | − | 3.14464i | 0.226004 | − | 0.122405i | ||||
\(661\) | −7.20149 | + | 12.4733i | −0.280105 | + | 0.485157i | −0.971410 | − | 0.237406i | \(-0.923703\pi\) |
0.691305 | + | 0.722563i | \(0.257036\pi\) | |||||||
\(662\) | 22.4673 | − | 10.0031i | 0.873216 | − | 0.388781i | ||||
\(663\) | 4.18661 | − | 0.889891i | 0.162594 | − | 0.0345605i | ||||
\(664\) | 4.59998 | + | 14.1573i | 0.178514 | + | 0.549409i | ||||
\(665\) | 24.6707 | − | 0.135262i | 0.956690 | − | 0.00524522i | ||||
\(666\) | 1.55911 | − | 1.13276i | 0.0604143 | − | 0.0438936i | ||||
\(667\) | 8.59789 | − | 9.54892i | 0.332912 | − | 0.369736i | ||||
\(668\) | 0.528112 | + | 0.586528i | 0.0204333 | + | 0.0226934i | ||||
\(669\) | 19.9757 | − | 8.89376i | 0.772306 | − | 0.343853i | ||||
\(670\) | −10.8702 | − | 18.8277i | −0.419952 | − | 0.727379i | ||||
\(671\) | 1.30284 | − | 47.8468i | 0.0502954 | − | 1.84710i | ||||
\(672\) | −12.7153 | + | 5.74497i | −0.490505 | + | 0.221617i | ||||
\(673\) | −24.4308 | − | 17.7500i | −0.941739 | − | 0.684214i | 0.00709930 | − | 0.999975i | \(-0.497740\pi\) |
−0.948839 | + | 0.315761i | \(0.897740\pi\) | |||||||
\(674\) | 1.08614 | − | 0.230866i | 0.0418365 | − | 0.00889262i | ||||
\(675\) | 1.58968 | + | 0.337898i | 0.0611869 | + | 0.0130057i | ||||
\(676\) | −1.38512 | − | 13.1786i | −0.0532739 | − | 0.506867i | ||||
\(677\) | 7.36411 | + | 3.27871i | 0.283026 | + | 0.126011i | 0.543340 | − | 0.839513i | \(-0.317159\pi\) |
−0.260314 | + | 0.965524i | \(0.583826\pi\) | |||||||
\(678\) | −5.27113 | − | 16.2229i | −0.202436 | − | 0.623035i | ||||
\(679\) | 23.2018 | + | 10.1781i | 0.890403 | + | 0.390598i | ||||
\(680\) | −21.3609 | − | 15.5196i | −0.819153 | − | 0.595149i | ||||
\(681\) | −5.12596 | − | 8.87843i | −0.196427 | − | 0.340222i | ||||
\(682\) | −20.2263 | + | 17.2384i | −0.774504 | + | 0.660094i | ||||
\(683\) | −6.06875 | + | 10.5114i | −0.232214 | + | 0.402207i | −0.958459 | − | 0.285229i | \(-0.907930\pi\) |
0.726245 | + | 0.687436i | \(0.241264\pi\) | |||||||
\(684\) | 0.575007 | − | 5.47083i | 0.0219859 | − | 0.209182i | ||||
\(685\) | −8.33148 | + | 25.6417i | −0.318329 | + | 0.979717i | ||||
\(686\) | 9.11527 | + | 15.2050i | 0.348023 | + | 0.580528i | ||||
\(687\) | −17.1857 | + | 12.4861i | −0.655674 | + | 0.476375i | ||||
\(688\) | 2.76426 | + | 1.23073i | 0.105386 | + | 0.0469210i | ||||
\(689\) | 7.01589 | + | 1.49127i | 0.267284 | + | 0.0568130i | ||||
\(690\) | 2.37085 | + | 2.63310i | 0.0902568 | + | 0.100240i | ||||
\(691\) | −1.78052 | + | 16.9405i | −0.0677343 | + | 0.644449i | 0.907008 | + | 0.421114i | \(0.138361\pi\) |
−0.974742 | + | 0.223334i | \(0.928306\pi\) | |||||||
\(692\) | 9.33522 | 0.354872 | ||||||||
\(693\) | −7.69292 | + | 4.22125i | −0.292230 | + | 0.160352i | ||||
\(694\) | −18.0116 | −0.683709 | ||||||||
\(695\) | −1.85316 | + | 17.6316i | −0.0702942 | + | 0.668805i | ||||
\(696\) | 12.5957 | + | 13.9889i | 0.477437 | + | 0.530248i | ||||
\(697\) | −17.7776 | − | 3.77875i | −0.673375 | − | 0.143130i | ||||
\(698\) | −29.2299 | − | 13.0140i | −1.10637 | − | 0.492587i | ||||
\(699\) | −12.5818 | + | 9.14124i | −0.475889 | + | 0.345754i | ||||
\(700\) | −3.13703 | − | 3.44585i | −0.118569 | − | 0.130241i | ||||
\(701\) | −13.0598 | + | 40.1940i | −0.493263 | + | 1.51811i | 0.326384 | + | 0.945237i | \(0.394170\pi\) |
−0.819646 | + | 0.572870i | \(0.805830\pi\) | |||||||
\(702\) | 0.0879535 | − | 0.836822i | 0.00331959 | − | 0.0315838i | ||||
\(703\) | 5.10969 | − | 8.85024i | 0.192716 | − | 0.333793i | ||||
\(704\) | 4.94887 | − | 20.5193i | 0.186518 | − | 0.773349i | ||||
\(705\) | −2.89001 | − | 5.00565i | −0.108844 | − | 0.188524i | ||||
\(706\) | 2.05111 | + | 1.49022i | 0.0771944 | + | 0.0560850i | ||||
\(707\) | −35.9003 | + | 26.3850i | −1.35017 | + | 0.992312i | ||||
\(708\) | −2.13295 | − | 6.56454i | −0.0801611 | − | 0.246710i | ||||
\(709\) | 32.1766 | + | 14.3259i | 1.20842 | + | 0.538022i | 0.909279 | − | 0.416188i | \(-0.136634\pi\) |
0.299138 | + | 0.954210i | \(0.403301\pi\) | |||||||
\(710\) | 0.211164 | + | 2.00910i | 0.00792486 | + | 0.0754000i | ||||
\(711\) | −7.96680 | − | 1.69340i | −0.298778 | − | 0.0635073i | ||||
\(712\) | −0.136205 | + | 0.0289513i | −0.00510451 | + | 0.00108500i | ||||
\(713\) | 13.6456 | + | 9.91413i | 0.511033 | + | 0.371287i | ||||
\(714\) | 10.0158 | + | 7.19336i | 0.374833 | + | 0.269205i | ||||
\(715\) | 3.26487 | − | 4.24568i | 0.122099 | − | 0.158780i | ||||
\(716\) | 6.99735 | + | 12.1198i | 0.261503 | + | 0.452937i | ||||
\(717\) | 14.8235 | − | 6.59985i | 0.553594 | − | 0.246476i | ||||
\(718\) | −15.5689 | − | 17.2910i | −0.581027 | − | 0.645296i | ||||
\(719\) | 3.27552 | − | 3.63783i | 0.122156 | − | 0.135668i | −0.678964 | − | 0.734171i | \(-0.737571\pi\) |
0.801120 | + | 0.598503i | \(0.204238\pi\) | |||||||
\(720\) | −0.978002 | + | 0.710560i | −0.0364480 | + | 0.0264810i | ||||
\(721\) | −11.7014 | + | 20.5264i | −0.435781 | + | 0.764444i | ||||
\(722\) | 2.00108 | + | 6.15868i | 0.0744724 | + | 0.229202i | ||||
\(723\) | −15.4537 | + | 3.28478i | −0.574729 | + | 0.122162i | ||||
\(724\) | −16.7076 | + | 7.43870i | −0.620933 | + | 0.276457i | ||||
\(725\) | −5.18201 | + | 8.97551i | −0.192455 | + | 0.333342i | ||||
\(726\) | 1.66884 | − | 10.3963i | 0.0619366 | − | 0.385843i | ||||
\(727\) | 3.66483 | 0.135921 | 0.0679606 | − | 0.997688i | \(-0.478351\pi\) | ||||
0.0679606 | + | 0.997688i | \(0.478351\pi\) | |||||||
\(728\) | −4.56559 | + | 5.12685i | −0.169212 | + | 0.190014i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 2.31323 | − | 2.56910i | 0.0856166 | − | 0.0950868i | ||||
\(731\) | 2.34032 | + | 22.2666i | 0.0865598 | + | 0.823562i | ||||
\(732\) | −1.63484 | − | 15.5545i | −0.0604254 | − | 0.574909i | ||||
\(733\) | 9.86914 | − | 10.9608i | 0.364525 | − | 0.404846i | −0.532782 | − | 0.846252i | \(-0.678854\pi\) |
0.897307 | + | 0.441406i | \(0.145520\pi\) | |||||||
\(734\) | −7.88220 | + | 24.2589i | −0.290937 | + | 0.895413i | ||||
\(735\) | −8.70892 | − | 9.46151i | −0.321233 | − | 0.348993i | ||||
\(736\) | −10.6261 | −0.391684 | ||||||||
\(737\) | 40.6479 | + | 5.39452i | 1.49728 | + | 0.198710i | ||||
\(738\) | −1.78649 | + | 3.09429i | −0.0657615 | + | 0.113902i | ||||
\(739\) | 25.4948 | − | 11.3510i | 0.937840 | − | 0.417553i | 0.119854 | − | 0.992792i | \(-0.461757\pi\) |
0.817986 | + | 0.575238i | \(0.195091\pi\) | |||||||
\(740\) | 3.92067 | − | 0.833365i | 0.144127 | − | 0.0306351i | ||||
\(741\) | −1.37882 | − | 4.24356i | −0.0506520 | − | 0.155891i | ||||
\(742\) | 10.4303 | + | 17.8393i | 0.382909 | + | 0.654900i | ||||
\(743\) | −15.8074 | + | 11.4847i | −0.579917 | + | 0.421334i | −0.838694 | − | 0.544603i | \(-0.816680\pi\) |
0.258777 | + | 0.965937i | \(0.416680\pi\) | |||||||
\(744\) | −16.5339 | + | 18.3628i | −0.606163 | + | 0.673212i | ||||
\(745\) | −11.4366 | − | 12.7016i | −0.419003 | − | 0.465350i | ||||
\(746\) | 14.3904 | − | 6.40703i | 0.526871 | − | 0.234578i | ||||
\(747\) | 2.52148 | + | 4.36734i | 0.0922562 | + | 0.159792i | ||||
\(748\) | 16.7857 | − | 4.95313i | 0.613747 | − | 0.181104i | ||||
\(749\) | 19.7176 | − | 8.90868i | 0.720464 | − | 0.325516i | ||||
\(750\) | −9.42521 | − | 6.84782i | −0.344160 | − | 0.250047i | ||||
\(751\) | 2.24491 | − | 0.477171i | 0.0819181 | − | 0.0174122i | −0.166770 | − | 0.985996i | \(-0.553334\pi\) |
0.248688 | + | 0.968584i | \(0.420000\pi\) | |||||||
\(752\) | −2.02520 | − | 0.430469i | −0.0738514 | − | 0.0156976i | ||||
\(753\) | 0.627301 | + | 5.96837i | 0.0228601 | + | 0.217500i | ||||
\(754\) | 4.90198 | + | 2.18250i | 0.178519 | + | 0.0794820i | ||||
\(755\) | 0.187263 | + | 0.576335i | 0.00681519 | + | 0.0209750i | ||||
\(756\) | −2.31041 | + | 1.69805i | −0.0840289 | + | 0.0617573i | ||||
\(757\) | −12.8406 | − | 9.32927i | −0.466701 | − | 0.339078i | 0.329453 | − | 0.944172i | \(-0.393136\pi\) |
−0.796154 | + | 0.605094i | \(0.793136\pi\) | |||||||
\(758\) | 14.2979 | + | 24.7647i | 0.519324 | + | 0.899495i | ||||
\(759\) | −6.66269 | + | 0.517376i | −0.241840 | + | 0.0187795i | ||||
\(760\) | −13.7625 | + | 23.8373i | −0.499218 | + | 0.864671i | ||||
\(761\) | 0.398161 | − | 3.78825i | 0.0144333 | − | 0.137324i | −0.984932 | − | 0.172941i | \(-0.944673\pi\) |
0.999366 | + | 0.0356170i | \(0.0113396\pi\) | |||||||
\(762\) | 0.598393 | − | 1.84166i | 0.0216775 | − | 0.0667165i | ||||
\(763\) | −15.6063 | + | 48.9426i | −0.564985 | + | 1.77184i | ||||
\(764\) | 10.1793 | − | 7.39567i | 0.368273 | − | 0.267566i | ||||
\(765\) | −8.17155 | − | 3.63821i | −0.295443 | − | 0.131540i | ||||
\(766\) | −23.6817 | − | 5.03371i | −0.855656 | − | 0.181875i | ||||
\(767\) | −3.74622 | − | 4.16060i | −0.135268 | − | 0.150231i | ||||
\(768\) | 1.77628 | − | 16.9002i | 0.0640960 | − | 0.609833i | ||||
\(769\) | 38.5430 | 1.38990 | 0.694948 | − | 0.719060i | \(-0.255428\pi\) | ||||
0.694948 | + | 0.719060i | \(0.255428\pi\) | |||||||
\(770\) | 15.3774 | − | 1.27895i | 0.554163 | − | 0.0460902i | ||||
\(771\) | −12.8391 | −0.462390 | ||||||||
\(772\) | 1.81839 | − | 17.3009i | 0.0654454 | − | 0.622672i | ||||
\(773\) | 31.7377 | + | 35.2483i | 1.14153 | + | 1.26779i | 0.958628 | + | 0.284663i | \(0.0918816\pi\) |
0.182900 | + | 0.983132i | \(0.441452\pi\) | |||||||
\(774\) | 4.30532 | + | 0.915124i | 0.154752 | + | 0.0328935i | ||||
\(775\) | −12.4284 | − | 5.53346i | −0.446440 | − | 0.198768i | ||||
\(776\) | −22.8684 | + | 16.6149i | −0.820927 | + | 0.596438i | ||||
\(777\) | −5.20414 | + | 1.13603i | −0.186698 | + | 0.0407549i | ||||
\(778\) | 4.22626 | − | 13.0071i | 0.151519 | − | 0.466327i | ||||
\(779\) | −1.98047 | + | 18.8430i | −0.0709579 | + | 0.675119i | ||||
\(780\) | 0.875035 | − | 1.51561i | 0.0313313 | − | 0.0542674i | ||||
\(781\) | −3.24665 | − | 1.99421i | −0.116174 | − | 0.0713585i | ||||
\(782\) | 4.69558 | + | 8.13298i | 0.167914 | + | 0.290835i | ||||
\(783\) | 5.15917 | + | 3.74836i | 0.184374 | + | 0.133955i | ||||
\(784\) | −4.60606 | + | 0.0505086i | −0.164502 | + | 0.00180388i | ||||
\(785\) | −8.88825 | − | 27.3552i | −0.317235 | − | 0.976350i | ||||
\(786\) | 11.7346 | + | 5.22458i | 0.418559 | + | 0.186355i | ||||
\(787\) | −0.373398 | − | 3.55264i | −0.0133102 | − | 0.126638i | 0.985849 | − | 0.167635i | \(-0.0536131\pi\) |
−0.999159 | + | 0.0409974i | \(0.986946\pi\) | |||||||
\(788\) | 14.1133 | + | 2.99987i | 0.502765 | + | 0.106866i | ||||
\(789\) | −19.8233 | + | 4.21356i | −0.705727 | + | 0.150007i | ||||
\(790\) | 11.5870 | + | 8.41847i | 0.412248 | + | 0.299516i | ||||
\(791\) | −4.67112 | + | 46.9156i | −0.166086 | + | 1.66813i | ||||
\(792\) | 0.266477 | − | 9.78640i | 0.00946885 | − | 0.347745i | ||||
\(793\) | −6.34301 | − | 10.9864i | −0.225247 | − | 0.390139i | ||||
\(794\) | 22.9271 | − | 10.2078i | 0.813652 | − | 0.362261i | ||||
\(795\) | −10.0301 | − | 11.1396i | −0.355731 | − | 0.395079i | ||||
\(796\) | −7.73512 | + | 8.59072i | −0.274164 | + | 0.304490i | ||||
\(797\) | 31.2736 | − | 22.7216i | 1.10777 | − | 0.804842i | 0.125458 | − | 0.992099i | \(-0.459960\pi\) |
0.982311 | + | 0.187257i | \(0.0599598\pi\) | |||||||
\(798\) | 6.36641 | − | 11.1679i | 0.225368 | − | 0.395340i | ||||
\(799\) | −4.73410 | − | 14.5701i | −0.167481 | − | 0.515452i | ||||
\(800\) | 8.38353 | − | 1.78198i | 0.296403 | − | 0.0630023i | ||||
\(801\) | −0.0430955 | + | 0.0191874i | −0.00152271 | + | 0.000677952i | ||||
\(802\) | −8.97149 | + | 15.5391i | −0.316794 | + | 0.548704i | ||||
\(803\) | 1.18155 | + | 6.41239i | 0.0416960 | + | 0.226288i | ||||
\(804\) | 13.3985 | 0.472528 | ||||||||
\(805\) | −3.07734 | − | 9.29731i | −0.108462 | − | 0.327687i | ||||
\(806\) | −2.17660 | + | 6.69888i | −0.0766674 | + | 0.235958i | ||||
\(807\) | −9.52962 | + | 10.5837i | −0.335459 | + | 0.372565i | ||||
\(808\) | −5.19582 | − | 49.4349i | −0.182788 | − | 1.73911i | ||||
\(809\) | −1.28156 | − | 12.1932i | −0.0450573 | − | 0.428691i | −0.993677 | − | 0.112274i | \(-0.964187\pi\) |
0.948620 | − | 0.316418i | \(-0.102480\pi\) | |||||||
\(810\) | −1.17665 | + | 1.30680i | −0.0413431 | + | 0.0459162i | ||||
\(811\) | 7.09355 | − | 21.8317i | 0.249088 | − | 0.766615i | −0.745849 | − | 0.666115i | \(-0.767956\pi\) |
0.994937 | − | 0.100500i | \(-0.0320441\pi\) | |||||||
\(812\) | −5.74563 | − | 17.3588i | −0.201632 | − | 0.609175i | ||||
\(813\) | 4.48484 | 0.157290 | ||||||||
\(814\) | 2.75771 | − | 5.76617i | 0.0966576 | − | 0.202104i | ||||
\(815\) | 15.7379 | − | 27.2588i | 0.551274 | − | 0.954834i | ||||
\(816\) | −2.92710 | + | 1.30323i | −0.102469 | + | 0.0456222i | ||||
\(817\) | 22.8302 | − | 4.85272i | 0.798729 | − | 0.169775i | ||||
\(818\) | −2.81274 | − | 8.65672i | −0.0983451 | − | 0.302675i | ||||
\(819\) | −1.15180 | + | 2.02048i | −0.0402471 | + | 0.0706012i | ||||
\(820\) | −6.01207 | + | 4.36803i | −0.209951 | + | 0.152538i | ||||
\(821\) | 20.3224 | − | 22.5703i | 0.709255 | − | 0.787708i | −0.275565 | − | 0.961282i | \(-0.588865\pi\) |
0.984821 | + | 0.173574i | \(0.0555317\pi\) | |||||||
\(822\) | 9.40020 | + | 10.4400i | 0.327870 | + | 0.364136i | ||||
\(823\) | 3.60812 | − | 1.60644i | 0.125771 | − | 0.0559970i | −0.342886 | − | 0.939377i | \(-0.611405\pi\) |
0.468657 | + | 0.883380i | \(0.344738\pi\) | |||||||
\(824\) | −13.1803 | − | 22.8289i | −0.459157 | − | 0.795284i | ||||
\(825\) | 5.16980 | − | 1.52550i | 0.179989 | − | 0.0531111i | ||||
\(826\) | 1.59807 | − | 16.0506i | 0.0556039 | − | 0.558473i | ||||
\(827\) | −34.0733 | − | 24.7557i | −1.18484 | − | 0.860839i | −0.192134 | − | 0.981369i | \(-0.561541\pi\) |
−0.992710 | + | 0.120529i | \(0.961541\pi\) | |||||||
\(828\) | −2.13593 | + | 0.454005i | −0.0742286 | + | 0.0157778i | ||||
\(829\) | 35.7801 | + | 7.60528i | 1.24269 | + | 0.264142i | 0.781922 | − | 0.623377i | \(-0.214240\pi\) |
0.460771 | + | 0.887519i | \(0.347573\pi\) | |||||||
\(830\) | −0.926948 | − | 8.81932i | −0.0321748 | − | 0.306123i | ||||
\(831\) | 18.4125 | + | 8.19777i | 0.638722 | + | 0.284377i | ||||
\(832\) | −1.72876 | − | 5.32056i | −0.0599338 | − | 0.184457i | ||||
\(833\) | −17.3645 | − | 29.3288i | −0.601645 | − | 1.01618i | ||||
\(834\) | 7.47345 | + | 5.42978i | 0.258785 | + | 0.188018i | ||||
\(835\) | −0.668939 | − | 1.15864i | −0.0231496 | − | 0.0400962i | ||||
\(836\) | −6.96434 | − | 16.8631i | −0.240867 | − | 0.583223i | ||||
\(837\) | −4.18550 | + | 7.24950i | −0.144672 | + | 0.250579i | ||||
\(838\) | −0.669695 | + | 6.37172i | −0.0231342 | + | 0.220107i | ||||
\(839\) | 3.23318 | − | 9.95071i | 0.111622 | − | 0.343537i | −0.879606 | − | 0.475704i | \(-0.842194\pi\) |
0.991227 | + | 0.132167i | \(0.0421935\pi\) | |||||||
\(840\) | 14.0169 | − | 3.05980i | 0.483629 | − | 0.105573i | ||||
\(841\) | −9.43897 | + | 6.85782i | −0.325482 | + | 0.236476i | ||||
\(842\) | 6.14233 | + | 2.73474i | 0.211679 | + | 0.0942455i | ||||
\(843\) | 28.9736 | + | 6.15853i | 0.997904 | + | 0.212111i | ||||
\(844\) | −1.66957 | − | 1.85424i | −0.0574689 | − | 0.0638257i | ||||
\(845\) | −2.34795 | + | 22.3393i | −0.0807720 | + | 0.768494i | ||||
\(846\) | −3.01173 | −0.103545 | ||||||||
\(847\) | −15.7678 | + | 24.4618i | −0.541787 | + | 0.840516i | ||||
\(848\) | −5.36943 | −0.184387 | ||||||||
\(849\) | −1.03640 | + | 9.86068i | −0.0355691 | + | 0.338418i | ||||
\(850\) | −5.06848 | − | 5.62911i | −0.173847 | − | 0.193077i | ||||
\(851\) | −3.96800 | − | 0.843425i | −0.136021 | − | 0.0289122i | ||||
\(852\) | −1.13738 | − | 0.506393i | −0.0389659 | − | 0.0173487i | ||||
\(853\) | −13.4531 | + | 9.77425i | −0.460625 | + | 0.334664i | −0.793777 | − | 0.608209i | \(-0.791888\pi\) |
0.333151 | + | 0.942873i | \(0.391888\pi\) | |||||||
\(854\) | 11.1036 | − | 34.8217i | 0.379956 | − | 1.19157i | ||||
\(855\) | −2.88152 | + | 8.86841i | −0.0985460 | + | 0.303293i | ||||
\(856\) | −2.52327 | + | 24.0073i | −0.0862437 | + | 0.820554i | ||||
\(857\) | 10.2848 | − | 17.8138i | 0.351321 | − | 0.608506i | −0.635160 | − | 0.772381i | \(-0.719066\pi\) |
0.986481 | + | 0.163874i | \(0.0523992\pi\) | |||||||
\(858\) | −1.06527 | − | 2.57939i | −0.0363677 | − | 0.0880591i | ||||
\(859\) | 8.41553 | + | 14.5761i | 0.287134 | + | 0.497331i | 0.973124 | − | 0.230280i | \(-0.0739641\pi\) |
−0.685990 | + | 0.727611i | \(0.740631\pi\) | |||||||
\(860\) | 7.40620 | + | 5.38092i | 0.252549 | + | 0.183488i | ||||
\(861\) | 7.95767 | − | 5.84851i | 0.271197 | − | 0.199317i | ||||
\(862\) | 3.48383 | + | 10.7221i | 0.118660 | + | 0.365197i | ||||
\(863\) | 10.9213 | + | 4.86248i | 0.371766 | + | 0.165521i | 0.584111 | − | 0.811674i | \(-0.301443\pi\) |
−0.212345 | + | 0.977195i | \(0.568110\pi\) | |||||||
\(864\) | −0.551253 | − | 5.24482i | −0.0187540 | − | 0.178433i | ||||
\(865\) | −15.4785 | − | 3.29007i | −0.526286 | − | 0.111866i | ||||
\(866\) | 18.3216 | − | 3.89438i | 0.622594 | − | 0.132336i | ||||
\(867\) | −5.42710 | − | 3.94302i | −0.184314 | − | 0.133912i | ||||
\(868\) | 21.8732 | − | 9.88261i | 0.742423 | − | 0.335437i | ||||
\(869\) | −25.9088 | + | 7.64515i | −0.878895 | + | 0.259344i | ||||
\(870\) | −5.60695 | − | 9.71153i | −0.190094 | − | 0.329252i | ||||
\(871\) | 9.92821 | − | 4.42033i | 0.336405 | − | 0.149777i | ||||
\(872\) | −38.3498 | − | 42.5918i | −1.29869 | − | 1.44234i | ||||
\(873\) | −6.40768 | + | 7.11645i | −0.216867 | + | 0.240855i | ||||
\(874\) | 7.92031 | − | 5.75444i | 0.267909 | − | 0.194647i | ||||
\(875\) | 16.2533 | + | 27.7984i | 0.549460 | + | 0.939756i | ||||
\(876\) | 0.658384 | + | 2.02630i | 0.0222447 | + | 0.0684622i | ||||
\(877\) | 35.5705 | − | 7.56075i | 1.20113 | − | 0.255308i | 0.436457 | − | 0.899725i | \(-0.356233\pi\) |
0.764674 | + | 0.644417i | \(0.222900\pi\) | |||||||
\(878\) | 9.78657 | − | 4.35726i | 0.330281 | − | 0.147050i | ||||
\(879\) | −8.22472 | + | 14.2456i | −0.277413 | + | 0.480493i | ||||
\(880\) | −1.72986 | + | 3.61701i | −0.0583135 | + | 0.121930i | ||||
\(881\) | −34.8034 | −1.17256 | −0.586279 | − | 0.810109i | \(-0.699408\pi\) | ||||
−0.586279 | + | 0.810109i | \(0.699408\pi\) | |||||||
\(882\) | −6.53843 | + | 1.46490i | −0.220160 | + | 0.0493257i | ||||
\(883\) | −2.59718 | + | 7.99329i | −0.0874020 | + | 0.268996i | −0.985199 | − | 0.171413i | \(-0.945167\pi\) |
0.897797 | + | 0.440409i | \(0.145167\pi\) | |||||||
\(884\) | 3.10379 | − | 3.44711i | 0.104392 | − | 0.115939i | ||||
\(885\) | 1.22302 | + | 11.6363i | 0.0411113 | + | 0.391148i | ||||
\(886\) | −3.53779 | − | 33.6598i | −0.118854 | − | 1.13082i | ||||
\(887\) | −4.71499 | + | 5.23652i | −0.158314 | + | 0.175825i | −0.817083 | − | 0.576519i | \(-0.804411\pi\) |
0.658770 | + | 0.752345i | \(0.271077\pi\) | |||||||
\(888\) | 1.83645 | − | 5.65201i | 0.0616272 | − | 0.189669i | ||||
\(889\) | −3.55955 | + | 3.99713i | −0.119383 | + | 0.134059i | ||||
\(890\) | 0.0829539 | 0.00278062 | ||||||||
\(891\) | −0.601006 | − | 3.26172i | −0.0201345 | − | 0.109272i | ||||
\(892\) | 11.8486 | − | 20.5223i | 0.396719 | − | 0.687137i | ||||
\(893\) | −14.5899 | + | 6.49583i | −0.488231 | + | 0.217375i | ||||
\(894\) | −8.71114 | + | 1.85161i | −0.291344 | + | 0.0619271i | ||||
\(895\) | −7.33072 | − | 22.5616i | −0.245039 | − | 0.754153i | ||||
\(896\) | −5.83804 | + | 10.2410i | −0.195035 | + | 0.342129i | ||||
\(897\) | −1.43293 | + | 1.04108i | −0.0478441 | + | 0.0347608i | ||||
\(898\) | 17.2380 | − | 19.1447i | 0.575239 | − | 0.638868i | ||||
\(899\) | −35.7199 | − | 39.6710i | −1.19133 | − | 1.32310i | ||||
\(900\) | 1.60901 | − | 0.716379i | 0.0536338 | − | 0.0238793i | ||||
\(901\) | −19.8651 | − | 34.4073i | −0.661801 | − | 1.14627i | ||||
\(902\) | −0.322554 | + | 11.8458i | −0.0107399 | + | 0.394423i | ||||
\(903\) | −9.88137 | − | 7.09679i | −0.328831 | − | 0.236166i | ||||
\(904\) | −42.5555 | − | 30.9184i | −1.41538 | − | 1.02833i | ||||
\(905\) | 30.3242 | − | 6.44561i | 1.00801 | − | 0.214259i | ||||
\(906\) | 0.308859 | + | 0.0656499i | 0.0102611 | + | 0.00218107i | ||||
\(907\) | 0.202195 | + | 1.92375i | 0.00671377 | + | 0.0638772i | 0.997366 | − | 0.0725359i | \(-0.0231092\pi\) |
−0.990652 | + | 0.136413i | \(0.956443\pi\) | |||||||
\(908\) | −10.1498 | − | 4.51900i | −0.336834 | − | 0.149968i | ||||
\(909\) | −5.20372 | − | 16.0154i | −0.172597 | − | 0.531198i | ||||
\(910\) | 3.29541 | − | 2.42197i | 0.109242 | − | 0.0802876i | ||||
\(911\) | 21.3791 | + | 15.5328i | 0.708320 | + | 0.514625i | 0.882631 | − | 0.470066i | \(-0.155770\pi\) |
−0.174311 | + | 0.984691i | \(0.555770\pi\) | |||||||
\(912\) | 1.67010 | + | 2.89270i | 0.0553026 | + | 0.0957870i | ||||
\(913\) | 14.2518 | + | 8.75398i | 0.471666 | + | 0.289714i | ||||
\(914\) | −13.5639 | + | 23.4933i | −0.448654 | + | 0.777091i | ||||
\(915\) | −2.77125 | + | 26.3667i | −0.0916148 | + | 0.871656i | ||||
\(916\) | −7.11400 | + | 21.8947i | −0.235053 | + | 0.723420i | ||||
\(917\) | −23.9011 | − | 26.2539i | −0.789283 | − | 0.866981i | ||||
\(918\) | −3.77067 | + | 2.73955i | −0.124451 | + | 0.0904186i | ||||
\(919\) | −1.74603 | − | 0.777381i | −0.0575961 | − | 0.0256434i | 0.377736 | − | 0.925913i | \(-0.376703\pi\) |
−0.435333 | + | 0.900270i | \(0.643369\pi\) | |||||||
\(920\) | 10.6875 | + | 2.27169i | 0.352355 | + | 0.0748954i | ||||
\(921\) | 14.5455 | + | 16.1544i | 0.479290 | + | 0.532305i | ||||
\(922\) | 2.57373 | − | 24.4874i | 0.0847611 | − | 0.806448i | ||||
\(923\) | −1.00986 | −0.0332398 | ||||||||
\(924\) | −4.05590 | + | 8.60144i | −0.133429 | + | 0.282967i | ||||
\(925\) | 3.27201 | 0.107583 | ||||||||
\(926\) | −2.69455 | + | 25.6369i | −0.0885482 | + | 0.842480i | ||||
\(927\) | −5.97556 | − | 6.63653i | −0.196263 | − | 0.217972i | ||||
\(928\) | 32.8960 | + | 6.99226i | 1.07986 | + | 0.229532i | ||||
\(929\) | −37.6350 | − | 16.7562i | −1.23476 | − | 0.549752i | −0.317586 | − | 0.948229i | \(-0.602872\pi\) |
−0.917178 | + | 0.398477i | \(0.869539\pi\) | |||||||
\(930\) | 11.9088 | − | 8.65228i | 0.390506 | − | 0.283719i | ||||
\(931\) | −28.5149 | + | 21.1988i | −0.934537 | + | 0.694764i | ||||
\(932\) | −5.20825 | + | 16.0294i | −0.170602 | + | 0.525059i | ||||
\(933\) | 0.685682 | − | 6.52383i | 0.0224482 | − | 0.213581i | ||||
\(934\) | 12.8969 | − | 22.3381i | 0.422000 | − | 0.730925i | ||||
\(935\) | −29.5777 | + | 2.29679i | −0.967295 | + | 0.0751131i | ||||
\(936\) | −1.29738 | − | 2.24712i | −0.0424061 | − | 0.0734494i | ||||
\(937\) | 6.24815 | + | 4.53955i | 0.204118 | + | 0.148301i | 0.685148 | − | 0.728403i | \(-0.259737\pi\) |
−0.481030 | + | 0.876704i | \(0.659737\pi\) | |||||||
\(938\) | 28.6731 | + | 12.5782i | 0.936210 | + | 0.410692i | ||||
\(939\) | −2.35687 | − | 7.25372i | −0.0769137 | − | 0.236716i | ||||
\(940\) | −5.72246 | − | 2.54781i | −0.186646 | − | 0.0831002i | ||||
\(941\) | −1.17619 | − | 11.1907i | −0.0383428 | − | 0.364808i | −0.996823 | − | 0.0796485i | \(-0.974620\pi\) |
0.958480 | − | 0.285159i | \(-0.0920465\pi\) | |||||||
\(942\) | −14.6597 | − | 3.11601i | −0.477639 | − | 0.101525i | ||||
\(943\) | 7.35669 | − | 1.56371i | 0.239567 | − | 0.0509215i | ||||
\(944\) | 3.39071 | + | 2.46349i | 0.110358 | + | 0.0801798i | ||||
\(945\) | 4.42930 | − | 2.00122i | 0.144085 | − | 0.0650998i | ||||
\(946\) | 14.0013 | − | 4.13150i | 0.455221 | − | 0.134327i | ||||
\(947\) | 10.3792 | + | 17.9773i | 0.337279 | + | 0.584184i | 0.983920 | − | 0.178610i | \(-0.0571601\pi\) |
−0.646641 | + | 0.762795i | \(0.723827\pi\) | |||||||
\(948\) | −8.06367 | + | 3.59018i | −0.261896 | + | 0.116604i | ||||
\(949\) | 1.15636 | + | 1.28427i | 0.0375370 | + | 0.0416891i | ||||
\(950\) | −5.28376 | + | 5.86821i | −0.171428 | + | 0.190390i | ||||
\(951\) | 21.3800 | − | 15.5335i | 0.693295 | − | 0.503709i | ||||
\(952\) | 38.0259 | − | 0.208484i | 1.23243 | − | 0.00675700i | ||||
\(953\) | 8.92625 | + | 27.4722i | 0.289150 | + | 0.889911i | 0.985124 | + | 0.171844i | \(0.0549726\pi\) |
−0.695975 | + | 0.718066i | \(0.745027\pi\) | |||||||
\(954\) | −7.63985 | + | 1.62390i | −0.247349 | + | 0.0525757i | ||||
\(955\) | −19.4845 | + | 8.67508i | −0.630505 | + | 0.280719i | ||||
\(956\) | 8.79254 | − | 15.2291i | 0.284371 | − | 0.492545i | ||||
\(957\) | 20.9666 | + | 2.78254i | 0.677753 | + | 0.0899469i | ||||
\(958\) | 6.33103 | 0.204546 | ||||||||
\(959\) | −12.2013 | − | 36.8629i | −0.394002 | − | 1.19037i | ||||
\(960\) | −3.61285 | + | 11.1192i | −0.116604 | + | 0.358871i | ||||
\(961\) | 26.1453 | − | 29.0373i | 0.843398 | − | 0.936688i | ||||
\(962\) | −0.177077 | − | 1.68478i | −0.00570919 | − | 0.0543193i | ||||
\(963\) | 0.854824 | + | 8.13311i | 0.0275463 | + | 0.262086i | ||||
\(964\) | −11.4568 | + | 12.7240i | −0.368997 | + | 0.409813i | ||||
\(965\) | −9.11249 | + | 28.0453i | −0.293341 | + | 0.902812i | ||||
\(966\) | −4.99714 | − | 1.03357i | −0.160780 | − | 0.0332547i | ||||
\(967\) | 29.7977 | 0.958229 | 0.479114 | − | 0.877752i | \(-0.340958\pi\) | ||||
0.479114 | + | 0.877752i | \(0.340958\pi\) | |||||||
\(968\) | −14.6806 | − | 28.9615i | −0.471854 | − | 0.930859i | ||||
\(969\) | −12.3576 | + | 21.4041i | −0.396984 | + | 0.687597i | ||||
\(970\) | 15.3835 | − | 6.84917i | 0.493934 | − | 0.219914i | ||||
\(971\) | 57.8124 | − | 12.2884i | 1.85529 | − | 0.394353i | 0.861699 | − | 0.507419i | \(-0.169400\pi\) |
0.993588 | + | 0.113066i | \(0.0360671\pi\) | |||||||
\(972\) | −0.334893 | − | 1.03069i | −0.0107417 | − | 0.0330595i | ||||
\(973\) | −12.8876 | − | 22.0419i | −0.413156 | − | 0.706632i | ||||
\(974\) | 13.3446 | − | 9.69544i | 0.427589 | − | 0.310662i | ||||
\(975\) | 0.955928 | − | 1.06167i | 0.0306142 | − | 0.0340005i | ||||
\(976\) | 6.35457 | + | 7.05746i | 0.203405 | + | 0.225904i | ||||
\(977\) | −20.4422 | + | 9.10144i | −0.654003 | + | 0.291181i | −0.706788 | − | 0.707425i | \(-0.749857\pi\) |
0.0527856 | + | 0.998606i | \(0.483190\pi\) | |||||||
\(978\) | −8.20035 | − | 14.2034i | −0.262218 | − | 0.454175i | ||||
\(979\) | −0.0953751 | + | 0.124027i | −0.00304820 | + | 0.00396393i | ||||
\(980\) | −13.6626 | − | 2.74786i | −0.436437 | − | 0.0877771i | ||||
\(981\) | −15.7081 | − | 11.4126i | −0.501520 | − | 0.364376i | ||||
\(982\) | 16.9782 | − | 3.60883i | 0.541797 | − | 0.115162i | ||||
\(983\) | −22.6150 | − | 4.80697i | −0.721307 | − | 0.153318i | −0.167390 | − | 0.985891i | \(-0.553534\pi\) |
−0.553916 | + | 0.832572i | \(0.686867\pi\) | |||||||
\(984\) | 1.15171 | + | 10.9577i | 0.0367150 | + | 0.349320i | ||||
\(985\) | −22.3437 | − | 9.94805i | −0.711929 | − | 0.316971i | ||||
\(986\) | −9.18470 | − | 28.2676i | −0.292500 | − | 0.900224i | ||||
\(987\) | 7.62320 | + | 3.34411i | 0.242649 | + | 0.106444i | ||||
\(988\) | −3.91205 | − | 2.84227i | −0.124459 | − | 0.0904247i | ||||
\(989\) | −4.63254 | − | 8.02380i | −0.147306 | − | 0.255142i | ||||
\(990\) | −1.36741 | + | 5.66962i | −0.0434591 | + | 0.180192i | ||||
\(991\) | 26.1612 | − | 45.3125i | 0.831036 | − | 1.43940i | −0.0661806 | − | 0.997808i | \(-0.521081\pi\) |
0.897217 | − | 0.441590i | \(-0.145585\pi\) | |||||||
\(992\) | −4.61454 | + | 43.9044i | −0.146512 | + | 1.39397i | ||||
\(993\) | 7.93949 | − | 24.4352i | 0.251952 | − | 0.775429i | ||||
\(994\) | −1.95863 | − | 2.15144i | −0.0621239 | − | 0.0682394i | ||||
\(995\) | 15.8531 | − | 11.5180i | 0.502578 | − | 0.365144i | ||||
\(996\) | 4.99274 | + | 2.22291i | 0.158201 | + | 0.0704357i | ||||
\(997\) | −34.7451 | − | 7.38531i | −1.10039 | − | 0.233895i | −0.378292 | − | 0.925686i | \(-0.623489\pi\) |
−0.722098 | + | 0.691791i | \(0.756822\pi\) | |||||||
\(998\) | −1.35625 | − | 1.50627i | −0.0429313 | − | 0.0476800i | ||||
\(999\) | 0.210447 | − | 2.00227i | 0.00665826 | − | 0.0633491i |
(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 | 231.2.y.b.4.4 | ✓ | 64 | |
3.2 | odd | 2 | 693.2.by.c.235.5 | 64 | |||
7.2 | even | 3 | inner | 231.2.y.b.37.5 | yes | 64 | |
11.3 | even | 5 | inner | 231.2.y.b.25.5 | yes | 64 | |
21.2 | odd | 6 | 693.2.by.c.37.4 | 64 | |||
33.14 | odd | 10 | 693.2.by.c.487.4 | 64 | |||
77.58 | even | 15 | inner | 231.2.y.b.58.4 | yes | 64 | |
231.212 | odd | 30 | 693.2.by.c.289.5 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.y.b.4.4 | ✓ | 64 | 1.1 | even | 1 | trivial | |
231.2.y.b.25.5 | yes | 64 | 11.3 | even | 5 | inner | |
231.2.y.b.37.5 | yes | 64 | 7.2 | even | 3 | inner | |
231.2.y.b.58.4 | yes | 64 | 77.58 | even | 15 | inner | |
693.2.by.c.37.4 | 64 | 21.2 | odd | 6 | |||
693.2.by.c.235.5 | 64 | 3.2 | odd | 2 | |||
693.2.by.c.289.5 | 64 | 231.212 | odd | 30 | |||
693.2.by.c.487.4 | 64 | 33.14 | odd | 10 |