Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(71,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bu (of order \(12\), degree \(4\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 71.13 | ||
Character | \(\chi\) | \(=\) | 546.71 |
Dual form | 546.2.bu.b.323.13 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 1.18291 | − | 1.26520i | 0.682953 | − | 0.730462i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 2.02216 | + | 2.02216i | 0.904337 | + | 0.904337i | 0.995808 | − | 0.0914711i | \(-0.0291569\pi\) |
−0.0914711 | + | 0.995808i | \(0.529157\pi\) | |||||||
\(6\) | 0.815146 | − | 1.52825i | 0.332782 | − | 0.623904i | ||||
\(7\) | 0.258819 | − | 0.965926i | 0.0978244 | − | 0.365086i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −0.201451 | − | 2.99323i | −0.0671502 | − | 0.997743i | ||||
\(10\) | 2.47663 | + | 1.42988i | 0.783179 | + | 0.452168i | ||||
\(11\) | 0.522859 | + | 1.95134i | 0.157648 | + | 0.588350i | 0.998864 | + | 0.0476510i | \(0.0151735\pi\) |
−0.841216 | + | 0.540699i | \(0.818160\pi\) | |||||||
\(12\) | 0.391831 | − | 1.68715i | 0.113112 | − | 0.487038i | ||||
\(13\) | −2.79511 | + | 2.27758i | −0.775224 | + | 0.631687i | ||||
\(14\) | − | 1.00000i | − | 0.267261i | ||||||
\(15\) | 4.95046 | − | 0.166400i | 1.27820 | − | 0.0429643i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.857349 | − | 1.48497i | −0.207938 | − | 0.360159i | 0.743127 | − | 0.669150i | \(-0.233342\pi\) |
−0.951065 | + | 0.308992i | \(0.900008\pi\) | |||||||
\(18\) | −0.969291 | − | 2.83910i | −0.228464 | − | 0.669182i | ||||
\(19\) | 0.291822 | + | 0.0781935i | 0.0669486 | + | 0.0179388i | 0.292138 | − | 0.956376i | \(-0.405633\pi\) |
−0.225189 | + | 0.974315i | \(0.572300\pi\) | |||||||
\(20\) | 2.76232 | + | 0.740161i | 0.617673 | + | 0.165505i | ||||
\(21\) | −0.915928 | − | 1.47006i | −0.199872 | − | 0.320793i | ||||
\(22\) | 1.01009 | + | 1.74952i | 0.215351 | + | 0.372999i | ||||
\(23\) | −0.189549 | + | 0.328309i | −0.0395237 | + | 0.0684571i | −0.885111 | − | 0.465381i | \(-0.845917\pi\) |
0.845587 | + | 0.533838i | \(0.179251\pi\) | |||||||
\(24\) | −0.0581866 | − | 1.73107i | −0.0118773 | − | 0.353354i | ||||
\(25\) | 3.17825i | 0.635650i | ||||||||
\(26\) | −2.11039 | + | 2.92340i | −0.413881 | + | 0.573326i | ||||
\(27\) | −4.02532 | − | 3.28584i | −0.774674 | − | 0.632361i | ||||
\(28\) | −0.258819 | − | 0.965926i | −0.0489122 | − | 0.182543i | ||||
\(29\) | −1.49380 | − | 0.862444i | −0.277391 | − | 0.160152i | 0.354851 | − | 0.934923i | \(-0.384532\pi\) |
−0.632242 | + | 0.774771i | \(0.717865\pi\) | |||||||
\(30\) | 4.73871 | − | 1.44200i | 0.865166 | − | 0.263273i | ||||
\(31\) | −2.01519 | + | 2.01519i | −0.361940 | + | 0.361940i | −0.864527 | − | 0.502587i | \(-0.832382\pi\) |
0.502587 | + | 0.864527i | \(0.332382\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | 3.08732 | + | 1.64673i | 0.537434 | + | 0.286660i | ||||
\(34\) | −1.21247 | − | 1.21247i | −0.207938 | − | 0.207938i | ||||
\(35\) | 2.47663 | − | 1.42988i | 0.418627 | − | 0.241694i | ||||
\(36\) | −1.67108 | − | 2.49149i | −0.278513 | − | 0.415248i | ||||
\(37\) | −8.36414 | + | 2.24116i | −1.37506 | + | 0.368445i | −0.869323 | − | 0.494245i | \(-0.835445\pi\) |
−0.505733 | + | 0.862690i | \(0.668778\pi\) | |||||||
\(38\) | 0.302116 | 0.0490098 | ||||||||
\(39\) | −0.424771 | + | 6.23054i | −0.0680179 | + | 0.997684i | ||||
\(40\) | 2.85976 | 0.452168 | ||||||||
\(41\) | 1.95720 | − | 0.524430i | 0.305663 | − | 0.0819022i | −0.102727 | − | 0.994710i | \(-0.532757\pi\) |
0.408390 | + | 0.912807i | \(0.366090\pi\) | |||||||
\(42\) | −1.26520 | − | 1.18291i | −0.195224 | − | 0.182527i | ||||
\(43\) | 5.58811 | − | 3.22629i | 0.852178 | − | 0.492005i | −0.00920700 | − | 0.999958i | \(-0.502931\pi\) |
0.861385 | + | 0.507952i | \(0.169597\pi\) | |||||||
\(44\) | 1.42848 | + | 1.42848i | 0.215351 | + | 0.215351i | ||||
\(45\) | 5.64542 | − | 6.46015i | 0.841569 | − | 0.963022i | ||||
\(46\) | −0.0981179 | + | 0.366181i | −0.0144667 | + | 0.0539904i | ||||
\(47\) | −5.62258 | + | 5.62258i | −0.820137 | + | 0.820137i | −0.986127 | − | 0.165990i | \(-0.946918\pi\) |
0.165990 | + | 0.986127i | \(0.446918\pi\) | |||||||
\(48\) | −0.504239 | − | 1.65703i | −0.0727806 | − | 0.239171i | ||||
\(49\) | −0.866025 | − | 0.500000i | −0.123718 | − | 0.0714286i | ||||
\(50\) | 0.822591 | + | 3.06995i | 0.116332 | + | 0.434157i | ||||
\(51\) | −2.89295 | − | 0.671871i | −0.405094 | − | 0.0940808i | ||||
\(52\) | −1.28184 | + | 3.37000i | −0.177760 | + | 0.467334i | ||||
\(53\) | − | 5.57228i | − | 0.765412i | −0.923870 | − | 0.382706i | \(-0.874992\pi\) | ||
0.923870 | − | 0.382706i | \(-0.125008\pi\) | |||||||
\(54\) | −4.73860 | − | 2.13205i | −0.644842 | − | 0.290135i | ||||
\(55\) | −2.88861 | + | 5.00321i | −0.389500 | + | 0.674633i | ||||
\(56\) | −0.500000 | − | 0.866025i | −0.0668153 | − | 0.115728i | ||||
\(57\) | 0.444129 | − | 0.276717i | 0.0588264 | − | 0.0366520i | ||||
\(58\) | −1.66611 | − | 0.446434i | −0.218771 | − | 0.0586196i | ||||
\(59\) | 10.1830 | + | 2.72854i | 1.32572 | + | 0.355225i | 0.851117 | − | 0.524975i | \(-0.175925\pi\) |
0.474602 | + | 0.880201i | \(0.342592\pi\) | |||||||
\(60\) | 4.20402 | − | 2.61934i | 0.542737 | − | 0.338155i | ||||
\(61\) | −5.94332 | − | 10.2941i | −0.760964 | − | 1.31803i | −0.942354 | − | 0.334617i | \(-0.891393\pi\) |
0.181390 | − | 0.983411i | \(-0.441940\pi\) | |||||||
\(62\) | −1.42496 | + | 2.46810i | −0.180970 | + | 0.313449i | ||||
\(63\) | −2.94338 | − | 0.580118i | −0.370831 | − | 0.0730880i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −10.2578 | − | 1.04652i | −1.27232 | − | 0.129805i | ||||
\(66\) | 3.40833 | + | 0.791565i | 0.419536 | + | 0.0974350i | ||||
\(67\) | 0.287524 | + | 1.07305i | 0.0351267 | + | 0.131094i | 0.981263 | − | 0.192675i | \(-0.0617164\pi\) |
−0.946136 | + | 0.323770i | \(0.895050\pi\) | |||||||
\(68\) | −1.48497 | − | 0.857349i | −0.180079 | − | 0.103969i | ||||
\(69\) | 0.191156 | + | 0.628177i | 0.0230125 | + | 0.0756236i | ||||
\(70\) | 2.02216 | − | 2.02216i | 0.241694 | − | 0.241694i | ||||
\(71\) | 0.436438 | − | 1.62881i | 0.0517957 | − | 0.193304i | −0.935180 | − | 0.354172i | \(-0.884763\pi\) |
0.986976 | + | 0.160868i | \(0.0514294\pi\) | |||||||
\(72\) | −2.25898 | − | 1.97409i | −0.266223 | − | 0.232648i | ||||
\(73\) | −8.83094 | − | 8.83094i | −1.03358 | − | 1.03358i | −0.999416 | − | 0.0341672i | \(-0.989122\pi\) |
−0.0341672 | − | 0.999416i | \(-0.510878\pi\) | |||||||
\(74\) | −7.49908 | + | 4.32960i | −0.871750 | + | 0.503305i | ||||
\(75\) | 4.02111 | + | 3.75958i | 0.464318 | + | 0.434119i | ||||
\(76\) | 0.291822 | − | 0.0781935i | 0.0334743 | − | 0.00896941i | ||||
\(77\) | 2.02017 | 0.230220 | ||||||||
\(78\) | 1.20228 | + | 6.12817i | 0.136132 | + | 0.693879i | ||||
\(79\) | −3.44182 | −0.387235 | −0.193618 | − | 0.981077i | \(-0.562022\pi\) | ||||
−0.193618 | + | 0.981077i | \(0.562022\pi\) | |||||||
\(80\) | 2.76232 | − | 0.740161i | 0.308837 | − | 0.0827526i | ||||
\(81\) | −8.91884 | + | 1.20598i | −0.990982 | + | 0.133997i | ||||
\(82\) | 1.75478 | − | 1.01312i | 0.193783 | − | 0.111880i | ||||
\(83\) | 11.1986 | + | 11.1986i | 1.22920 | + | 1.22920i | 0.964266 | + | 0.264935i | \(0.0853505\pi\) |
0.264935 | + | 0.964266i | \(0.414649\pi\) | |||||||
\(84\) | −1.52825 | − | 0.815146i | −0.166745 | − | 0.0889397i | ||||
\(85\) | 1.26915 | − | 4.73654i | 0.137659 | − | 0.513750i | ||||
\(86\) | 4.56267 | − | 4.56267i | 0.492005 | − | 0.492005i | ||||
\(87\) | −2.85819 | + | 0.869755i | −0.306430 | + | 0.0932475i | ||||
\(88\) | 1.74952 | + | 1.01009i | 0.186499 | + | 0.107676i | ||||
\(89\) | 4.32027 | + | 16.1235i | 0.457947 | + | 1.70908i | 0.679276 | + | 0.733883i | \(0.262294\pi\) |
−0.221328 | + | 0.975199i | \(0.571039\pi\) | |||||||
\(90\) | 3.78105 | − | 7.70116i | 0.398557 | − | 0.811774i | ||||
\(91\) | 1.47655 | + | 3.28935i | 0.154784 | + | 0.344817i | ||||
\(92\) | 0.379098i | 0.0395237i | ||||||||
\(93\) | 0.165827 | + | 4.93341i | 0.0171954 | + | 0.511571i | ||||
\(94\) | −3.97576 | + | 6.88622i | −0.410069 | + | 0.710260i | ||||
\(95\) | 0.431991 | + | 0.748230i | 0.0443213 | + | 0.0767668i | ||||
\(96\) | −0.915928 | − | 1.47006i | −0.0934815 | − | 0.150037i | ||||
\(97\) | 11.6792 | + | 3.12942i | 1.18584 | + | 0.317745i | 0.797240 | − | 0.603663i | \(-0.206293\pi\) |
0.388599 | + | 0.921407i | \(0.372959\pi\) | |||||||
\(98\) | −0.965926 | − | 0.258819i | −0.0975732 | − | 0.0261447i | ||||
\(99\) | 5.73546 | − | 1.95813i | 0.576436 | − | 0.196800i | ||||
\(100\) | 1.58912 | + | 2.75244i | 0.158912 | + | 0.275244i | ||||
\(101\) | −5.04946 | + | 8.74593i | −0.502440 | + | 0.870252i | 0.497556 | + | 0.867432i | \(0.334231\pi\) |
−0.999996 | + | 0.00282025i | \(0.999102\pi\) | |||||||
\(102\) | −2.96827 | + | 0.0997724i | −0.293902 | + | 0.00987894i | ||||
\(103\) | 10.8658i | 1.07064i | 0.844649 | + | 0.535321i | \(0.179809\pi\) | ||||
−0.844649 | + | 0.535321i | \(0.820191\pi\) | |||||||
\(104\) | −0.365948 | + | 3.58693i | −0.0358842 | + | 0.351728i | ||||
\(105\) | 1.12054 | − | 4.82484i | 0.109354 | − | 0.470857i | ||||
\(106\) | −1.44221 | − | 5.38241i | −0.140080 | − | 0.522786i | ||||
\(107\) | −7.60387 | − | 4.39010i | −0.735094 | − | 0.424407i | 0.0851887 | − | 0.996365i | \(-0.472851\pi\) |
−0.820283 | + | 0.571958i | \(0.806184\pi\) | |||||||
\(108\) | −5.12895 | − | 0.832962i | −0.493534 | − | 0.0801518i | ||||
\(109\) | 2.58339 | − | 2.58339i | 0.247444 | − | 0.247444i | −0.572477 | − | 0.819921i | \(-0.694017\pi\) |
0.819921 | + | 0.572477i | \(0.194017\pi\) | |||||||
\(110\) | −1.49525 | + | 5.58036i | −0.142567 | + | 0.532066i | ||||
\(111\) | −7.05850 | + | 13.2334i | −0.669963 | + | 1.25606i | ||||
\(112\) | −0.707107 | − | 0.707107i | −0.0668153 | − | 0.0668153i | ||||
\(113\) | −15.4225 | + | 8.90419i | −1.45083 | + | 0.837636i | −0.998528 | − | 0.0542309i | \(-0.982729\pi\) |
−0.452299 | + | 0.891866i | \(0.649396\pi\) | |||||||
\(114\) | 0.357376 | − | 0.382237i | 0.0334714 | − | 0.0357998i | ||||
\(115\) | −1.04719 | + | 0.280594i | −0.0976511 | + | 0.0261655i | ||||
\(116\) | −1.72489 | −0.160152 | ||||||||
\(117\) | 7.38039 | + | 7.90758i | 0.682318 | + | 0.731056i | ||||
\(118\) | 10.5423 | 0.970494 | ||||||||
\(119\) | −1.65627 | + | 0.443796i | −0.151830 | + | 0.0406828i | ||||
\(120\) | 3.38284 | − | 3.61817i | 0.308810 | − | 0.330292i | ||||
\(121\) | 5.99195 | − | 3.45945i | 0.544723 | − | 0.314496i | ||||
\(122\) | −8.40512 | − | 8.40512i | −0.760964 | − | 0.760964i | ||||
\(123\) | 1.65168 | − | 3.09660i | 0.148927 | − | 0.279211i | ||||
\(124\) | −0.737612 | + | 2.75281i | −0.0662395 | + | 0.247209i | ||||
\(125\) | 3.68387 | − | 3.68387i | 0.329495 | − | 0.329495i | ||||
\(126\) | −2.99323 | + | 0.201451i | −0.266658 | + | 0.0179466i | ||||
\(127\) | 5.47486 | + | 3.16091i | 0.485816 | + | 0.280486i | 0.722837 | − | 0.691019i | \(-0.242838\pi\) |
−0.237021 | + | 0.971504i | \(0.576171\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | 2.52832 | − | 10.8865i | 0.222606 | − | 0.958501i | ||||
\(130\) | −10.1791 | + | 1.64404i | −0.892767 | + | 0.144192i | ||||
\(131\) | 12.2718i | 1.07219i | 0.844158 | + | 0.536094i | \(0.180101\pi\) | ||||
−0.844158 | + | 0.536094i | \(0.819899\pi\) | |||||||
\(132\) | 3.49706 | − | 0.117547i | 0.304380 | − | 0.0102311i | ||||
\(133\) | 0.151058 | − | 0.261640i | 0.0130984 | − | 0.0226871i | ||||
\(134\) | 0.555454 | + | 0.962074i | 0.0479839 | + | 0.0831106i | ||||
\(135\) | −1.49535 | − | 14.7843i | −0.128699 | − | 1.27243i | ||||
\(136\) | −1.65627 | − | 0.443796i | −0.142024 | − | 0.0380552i | ||||
\(137\) | −7.37915 | − | 1.97724i | −0.630443 | − | 0.168927i | −0.0705722 | − | 0.997507i | \(-0.522483\pi\) |
−0.559871 | + | 0.828580i | \(0.689149\pi\) | |||||||
\(138\) | 0.347227 | + | 0.557297i | 0.0295579 | + | 0.0474403i | ||||
\(139\) | 6.19143 | + | 10.7239i | 0.525151 | + | 0.909588i | 0.999571 | + | 0.0292891i | \(0.00932436\pi\) |
−0.474420 | + | 0.880298i | \(0.657342\pi\) | |||||||
\(140\) | 1.42988 | − | 2.47663i | 0.120847 | − | 0.209313i | ||||
\(141\) | 0.462672 | + | 13.7647i | 0.0389640 | + | 1.15919i | ||||
\(142\) | − | 1.68627i | − | 0.141508i | ||||||
\(143\) | −5.90577 | − | 4.26334i | −0.493865 | − | 0.356519i | ||||
\(144\) | −2.69294 | − | 1.32215i | −0.224411 | − | 0.110179i | ||||
\(145\) | −1.27669 | − | 4.76469i | −0.106024 | − | 0.395686i | ||||
\(146\) | −10.8156 | − | 6.24442i | −0.895109 | − | 0.516792i | ||||
\(147\) | −1.65703 | + | 0.504239i | −0.136669 | + | 0.0415889i | ||||
\(148\) | −6.12297 | + | 6.12297i | −0.503305 | + | 0.503305i | ||||
\(149\) | 2.44718 | − | 9.13300i | 0.200481 | − | 0.748204i | −0.790299 | − | 0.612721i | \(-0.790075\pi\) |
0.990780 | − | 0.135483i | \(-0.0432586\pi\) | |||||||
\(150\) | 4.85715 | + | 2.59073i | 0.396584 | + | 0.211533i | ||||
\(151\) | −7.01021 | − | 7.01021i | −0.570483 | − | 0.570483i | 0.361780 | − | 0.932263i | \(-0.382169\pi\) |
−0.932263 | + | 0.361780i | \(0.882169\pi\) | |||||||
\(152\) | 0.261640 | − | 0.151058i | 0.0212218 | − | 0.0122524i | ||||
\(153\) | −4.27215 | + | 2.86539i | −0.345383 | + | 0.231653i | ||||
\(154\) | 1.95134 | − | 0.522859i | 0.157243 | − | 0.0421332i | ||||
\(155\) | −8.15008 | −0.654630 | ||||||||
\(156\) | 2.74740 | + | 5.60819i | 0.219968 | + | 0.449014i | ||||
\(157\) | −0.463646 | −0.0370030 | −0.0185015 | − | 0.999829i | \(-0.505890\pi\) | ||||
−0.0185015 | + | 0.999829i | \(0.505890\pi\) | |||||||
\(158\) | −3.32455 | + | 0.890810i | −0.264487 | + | 0.0708690i | ||||
\(159\) | −7.05004 | − | 6.59150i | −0.559104 | − | 0.522740i | ||||
\(160\) | 2.47663 | − | 1.42988i | 0.195795 | − | 0.113042i | ||||
\(161\) | 0.268063 | + | 0.268063i | 0.0211263 | + | 0.0211263i | ||||
\(162\) | −8.30280 | + | 3.47325i | −0.652330 | + | 0.272884i | ||||
\(163\) | 4.54012 | − | 16.9440i | 0.355610 | − | 1.32715i | −0.524105 | − | 0.851653i | \(-0.675600\pi\) |
0.879715 | − | 0.475501i | \(-0.157733\pi\) | |||||||
\(164\) | 1.43277 | − | 1.43277i | 0.111880 | − | 0.111880i | ||||
\(165\) | 2.91309 | + | 9.57301i | 0.226784 | + | 0.745258i | ||||
\(166\) | 13.7154 | + | 7.91858i | 1.06452 | + | 0.614601i | ||||
\(167\) | −2.79734 | − | 10.4398i | −0.216464 | − | 0.807856i | −0.985646 | − | 0.168826i | \(-0.946002\pi\) |
0.769181 | − | 0.639030i | \(-0.220664\pi\) | |||||||
\(168\) | −1.68715 | − | 0.391831i | −0.130166 | − | 0.0302304i | ||||
\(169\) | 2.62526 | − | 12.7322i | 0.201943 | − | 0.979397i | ||||
\(170\) | − | 4.90363i | − | 0.376091i | ||||||
\(171\) | 0.175263 | − | 0.889242i | 0.0134027 | − | 0.0680021i | ||||
\(172\) | 3.22629 | − | 5.58811i | 0.246003 | − | 0.426089i | ||||
\(173\) | 11.1989 | + | 19.3970i | 0.851435 | + | 1.47473i | 0.879913 | + | 0.475135i | \(0.157601\pi\) |
−0.0284775 | + | 0.999594i | \(0.509066\pi\) | |||||||
\(174\) | −2.53569 | + | 1.57987i | −0.192230 | + | 0.119770i | ||||
\(175\) | 3.06995 | + | 0.822591i | 0.232067 | + | 0.0621821i | ||||
\(176\) | 1.95134 | + | 0.522859i | 0.147087 | + | 0.0394120i | ||||
\(177\) | 15.4978 | − | 9.65595i | 1.16488 | − | 0.725786i | ||||
\(178\) | 8.34611 | + | 14.4559i | 0.625568 | + | 1.08351i | ||||
\(179\) | 9.41345 | − | 16.3046i | 0.703594 | − | 1.21866i | −0.263602 | − | 0.964631i | \(-0.584911\pi\) |
0.967196 | − | 0.254030i | \(-0.0817561\pi\) | |||||||
\(180\) | 1.65900 | − | 8.41736i | 0.123655 | − | 0.627393i | ||||
\(181\) | − | 15.4967i | − | 1.15186i | −0.817498 | − | 0.575931i | \(-0.804640\pi\) | ||
0.817498 | − | 0.575931i | \(-0.195360\pi\) | |||||||
\(182\) | 2.27758 | + | 2.79511i | 0.168825 | + | 0.207187i | ||||
\(183\) | −20.0545 | − | 4.65755i | −1.48247 | − | 0.344296i | ||||
\(184\) | 0.0981179 | + | 0.366181i | 0.00723335 | + | 0.0269952i | ||||
\(185\) | −21.4456 | − | 12.3816i | −1.57671 | − | 0.910315i | ||||
\(186\) | 1.43704 | + | 4.72239i | 0.105369 | + | 0.346262i | ||||
\(187\) | 2.44941 | − | 2.44941i | 0.179118 | − | 0.179118i | ||||
\(188\) | −2.05801 | + | 7.68058i | −0.150095 | + | 0.560164i | ||||
\(189\) | −4.21571 | + | 3.03773i | −0.306648 | + | 0.220962i | ||||
\(190\) | 0.610927 | + | 0.610927i | 0.0443213 | + | 0.0443213i | ||||
\(191\) | 2.01002 | − | 1.16049i | 0.145440 | − | 0.0839699i | −0.425514 | − | 0.904952i | \(-0.639907\pi\) |
0.570954 | + | 0.820982i | \(0.306573\pi\) | |||||||
\(192\) | −1.26520 | − | 1.18291i | −0.0913078 | − | 0.0853691i | ||||
\(193\) | 9.43371 | − | 2.52775i | 0.679053 | − | 0.181952i | 0.0972236 | − | 0.995263i | \(-0.469004\pi\) |
0.581829 | + | 0.813311i | \(0.302337\pi\) | |||||||
\(194\) | 12.0912 | 0.868094 | ||||||||
\(195\) | −13.4581 | + | 11.7402i | −0.963753 | + | 0.840731i | ||||
\(196\) | −1.00000 | −0.0714286 | ||||||||
\(197\) | −17.0776 | + | 4.57593i | −1.21673 | + | 0.326022i | −0.809399 | − | 0.587259i | \(-0.800207\pi\) |
−0.407330 | + | 0.913281i | \(0.633540\pi\) | |||||||
\(198\) | 5.03323 | − | 3.37586i | 0.357696 | − | 0.239912i | ||||
\(199\) | −10.2093 | + | 5.89437i | −0.723721 | + | 0.417841i | −0.816121 | − | 0.577881i | \(-0.803880\pi\) |
0.0923995 | + | 0.995722i | \(0.470546\pi\) | |||||||
\(200\) | 2.24736 | + | 2.24736i | 0.158912 | + | 0.158912i | ||||
\(201\) | 1.69774 | + | 0.905551i | 0.119749 | + | 0.0638727i | ||||
\(202\) | −2.61379 | + | 9.75481i | −0.183906 | + | 0.686346i | ||||
\(203\) | −1.21968 | + | 1.21968i | −0.0856047 | + | 0.0856047i | ||||
\(204\) | −2.84130 | + | 0.864617i | −0.198931 | + | 0.0605353i | ||||
\(205\) | 5.01825 | + | 2.89729i | 0.350490 | + | 0.202355i | ||||
\(206\) | 2.81228 | + | 10.4956i | 0.195941 | + | 0.731262i | ||||
\(207\) | 1.02089 | + | 0.501226i | 0.0709566 | + | 0.0348376i | ||||
\(208\) | 0.574888 | + | 3.55942i | 0.0398613 | + | 0.246802i | ||||
\(209\) | 0.610327i | 0.0422172i | ||||||||
\(210\) | −0.166400 | − | 4.95046i | −0.0114827 | − | 0.341614i | ||||
\(211\) | 6.19456 | − | 10.7293i | 0.426451 | − | 0.738635i | −0.570104 | − | 0.821573i | \(-0.693097\pi\) |
0.996555 | + | 0.0829377i | \(0.0264302\pi\) | |||||||
\(212\) | −2.78614 | − | 4.82574i | −0.191353 | − | 0.331433i | ||||
\(213\) | −1.54450 | − | 2.47891i | −0.105827 | − | 0.169852i | ||||
\(214\) | −8.48102 | − | 2.27248i | −0.579750 | − | 0.155344i | ||||
\(215\) | 17.8241 | + | 4.77596i | 1.21559 | + | 0.325718i | ||||
\(216\) | −5.16978 | + | 0.522891i | −0.351759 | + | 0.0355783i | ||||
\(217\) | 1.42496 | + | 2.46810i | 0.0967324 | + | 0.167545i | ||||
\(218\) | 1.82674 | − | 3.16400i | 0.123722 | − | 0.214293i | ||||
\(219\) | −21.6191 | + | 0.726683i | −1.46088 | + | 0.0491047i | ||||
\(220\) | 5.77721i | 0.389500i | ||||||||
\(221\) | 5.77852 | + | 2.19798i | 0.388706 | + | 0.147852i | ||||
\(222\) | −3.39294 | + | 14.6093i | −0.227719 | + | 0.980514i | ||||
\(223\) | 7.26002 | + | 27.0948i | 0.486167 | + | 1.81440i | 0.574748 | + | 0.818330i | \(0.305100\pi\) |
−0.0885813 | + | 0.996069i | \(0.528233\pi\) | |||||||
\(224\) | −0.866025 | − | 0.500000i | −0.0578638 | − | 0.0334077i | ||||
\(225\) | 9.51322 | − | 0.640260i | 0.634215 | − | 0.0426840i | ||||
\(226\) | −12.5924 | + | 12.5924i | −0.837636 | + | 0.837636i | ||||
\(227\) | 5.81764 | − | 21.7117i | 0.386131 | − | 1.44106i | −0.450246 | − | 0.892904i | \(-0.648664\pi\) |
0.836377 | − | 0.548155i | \(-0.184670\pi\) | |||||||
\(228\) | 0.246269 | − | 0.461708i | 0.0163096 | − | 0.0305774i | ||||
\(229\) | −14.7447 | − | 14.7447i | −0.974355 | − | 0.974355i | 0.0253238 | − | 0.999679i | \(-0.491938\pi\) |
−0.999679 | + | 0.0253238i | \(0.991938\pi\) | |||||||
\(230\) | −0.938886 | + | 0.542066i | −0.0619083 | + | 0.0357428i | ||||
\(231\) | 2.38968 | − | 2.55592i | 0.157229 | − | 0.168167i | ||||
\(232\) | −1.66611 | + | 0.446434i | −0.109386 | + | 0.0293098i | ||||
\(233\) | 22.2391 | 1.45693 | 0.728467 | − | 0.685081i | \(-0.240233\pi\) | ||||
0.728467 | + | 0.685081i | \(0.240233\pi\) | |||||||
\(234\) | 9.17554 | + | 5.72795i | 0.599824 | + | 0.374448i | ||||
\(235\) | −22.7395 | −1.48336 | ||||||||
\(236\) | 10.1830 | − | 2.72854i | 0.662860 | − | 0.177613i | ||||
\(237\) | −4.07137 | + | 4.35459i | −0.264464 | + | 0.282861i | ||||
\(238\) | −1.48497 | + | 0.857349i | −0.0962564 | + | 0.0555737i | ||||
\(239\) | 18.1130 | + | 18.1130i | 1.17163 | + | 1.17163i | 0.981820 | + | 0.189812i | \(0.0607879\pi\) |
0.189812 | + | 0.981820i | \(0.439212\pi\) | |||||||
\(240\) | 2.33112 | − | 4.37042i | 0.150473 | − | 0.282110i | ||||
\(241\) | 7.42683 | − | 27.7173i | 0.478404 | − | 1.78543i | −0.129681 | − | 0.991556i | \(-0.541395\pi\) |
0.608085 | − | 0.793872i | \(-0.291938\pi\) | |||||||
\(242\) | 4.89241 | − | 4.89241i | 0.314496 | − | 0.314496i | ||||
\(243\) | −9.02438 | + | 12.7106i | −0.578914 | + | 0.815389i | ||||
\(244\) | −10.2941 | − | 5.94332i | −0.659014 | − | 0.380482i | ||||
\(245\) | −0.740161 | − | 2.76232i | −0.0472872 | − | 0.176478i | ||||
\(246\) | 0.793944 | − | 3.41857i | 0.0506200 | − | 0.217960i | ||||
\(247\) | −0.993766 | + | 0.446089i | −0.0632318 | + | 0.0283839i | ||||
\(248\) | 2.84992i | 0.180970i | ||||||||
\(249\) | 27.4153 | − | 0.921510i | 1.73737 | − | 0.0583983i | ||||
\(250\) | 2.60489 | − | 4.51180i | 0.164748 | − | 0.285351i | ||||
\(251\) | 4.50472 | + | 7.80241i | 0.284336 | + | 0.492484i | 0.972448 | − | 0.233121i | \(-0.0748937\pi\) |
−0.688112 | + | 0.725604i | \(0.741560\pi\) | |||||||
\(252\) | −2.83910 | + | 0.969291i | −0.178846 | + | 0.0610596i | ||||
\(253\) | −0.739748 | − | 0.198215i | −0.0465076 | − | 0.0124617i | ||||
\(254\) | 6.10642 | + | 1.63621i | 0.383151 | + | 0.102665i | ||||
\(255\) | −4.49137 | − | 7.20863i | −0.281261 | − | 0.451422i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 8.02160 | − | 13.8938i | 0.500373 | − | 0.866672i | −0.499626 | − | 0.866241i | \(-0.666529\pi\) |
1.00000 | 0.000431304i | \(-0.000137288\pi\) | ||||||||
\(258\) | −0.375454 | − | 11.1699i | −0.0233748 | − | 0.695408i | ||||
\(259\) | 8.65919i | 0.538056i | ||||||||
\(260\) | −9.40676 | + | 4.22257i | −0.583382 | + | 0.261873i | ||||
\(261\) | −2.28056 | + | 4.64501i | −0.141163 | + | 0.287519i | ||||
\(262\) | 3.17617 | + | 11.8536i | 0.196224 | + | 0.732319i | ||||
\(263\) | −15.8996 | − | 9.17963i | −0.980410 | − | 0.566040i | −0.0780162 | − | 0.996952i | \(-0.524859\pi\) |
−0.902394 | + | 0.430912i | \(0.858192\pi\) | |||||||
\(264\) | 3.34748 | − | 1.01865i | 0.206023 | − | 0.0626935i | ||||
\(265\) | 11.2680 | − | 11.2680i | 0.692190 | − | 0.692190i | ||||
\(266\) | 0.0781935 | − | 0.291822i | 0.00479435 | − | 0.0178928i | ||||
\(267\) | 25.5098 | + | 13.6066i | 1.56118 | + | 0.832710i | ||||
\(268\) | 0.785530 | + | 0.785530i | 0.0479839 | + | 0.0479839i | ||||
\(269\) | 14.7600 | − | 8.52167i | 0.899931 | − | 0.519575i | 0.0227530 | − | 0.999741i | \(-0.492757\pi\) |
0.877178 | + | 0.480166i | \(0.159424\pi\) | |||||||
\(270\) | −5.27086 | − | 13.8935i | −0.320774 | − | 0.845535i | ||||
\(271\) | 6.19365 | − | 1.65958i | 0.376238 | − | 0.100813i | −0.0657443 | − | 0.997837i | \(-0.520942\pi\) |
0.441982 | + | 0.897024i | \(0.354276\pi\) | |||||||
\(272\) | −1.71470 | −0.103969 | ||||||||
\(273\) | 5.90830 | + | 2.02288i | 0.357586 | + | 0.122430i | ||||
\(274\) | −7.63945 | −0.461516 | ||||||||
\(275\) | −6.20183 | + | 1.66178i | −0.373984 | + | 0.100209i | ||||
\(276\) | 0.479634 | + | 0.448439i | 0.0288706 | + | 0.0269929i | ||||
\(277\) | 1.28867 | − | 0.744016i | 0.0774289 | − | 0.0447036i | −0.460786 | − | 0.887511i | \(-0.652432\pi\) |
0.538215 | + | 0.842808i | \(0.319099\pi\) | |||||||
\(278\) | 8.75601 | + | 8.75601i | 0.525151 | + | 0.525151i | ||||
\(279\) | 6.43790 | + | 5.62598i | 0.385427 | + | 0.336818i | ||||
\(280\) | 0.740161 | − | 2.76232i | 0.0442331 | − | 0.165080i | ||||
\(281\) | −0.664453 | + | 0.664453i | −0.0396379 | + | 0.0396379i | −0.726648 | − | 0.687010i | \(-0.758923\pi\) |
0.687010 | + | 0.726648i | \(0.258923\pi\) | |||||||
\(282\) | 4.00947 | + | 13.1759i | 0.238760 | + | 0.784613i | ||||
\(283\) | −4.73940 | − | 2.73629i | −0.281728 | − | 0.162656i | 0.352477 | − | 0.935820i | \(-0.385339\pi\) |
−0.634205 | + | 0.773165i | \(0.718673\pi\) | |||||||
\(284\) | −0.436438 | − | 1.62881i | −0.0258978 | − | 0.0966520i | ||||
\(285\) | 1.45766 | + | 0.338535i | 0.0863446 | + | 0.0200531i | ||||
\(286\) | −6.80797 | − | 2.58955i | −0.402564 | − | 0.153123i | ||||
\(287\) | − | 2.02624i | − | 0.119605i | ||||||
\(288\) | −2.94338 | − | 0.580118i | −0.173440 | − | 0.0341838i | ||||
\(289\) | 7.02991 | − | 12.1762i | 0.413524 | − | 0.716244i | ||||
\(290\) | −2.46638 | − | 4.27190i | −0.144831 | − | 0.250855i | ||||
\(291\) | 17.7747 | − | 11.0746i | 1.04197 | − | 0.649206i | ||||
\(292\) | −12.0633 | − | 3.23235i | −0.705951 | − | 0.189159i | ||||
\(293\) | 9.49738 | + | 2.54482i | 0.554843 | + | 0.148670i | 0.525336 | − | 0.850895i | \(-0.323940\pi\) |
0.0295069 | + | 0.999565i | \(0.490606\pi\) | |||||||
\(294\) | −1.47006 | + | 0.915928i | −0.0857356 | + | 0.0534180i | ||||
\(295\) | 15.0742 | + | 26.1093i | 0.877653 | + | 1.52014i | ||||
\(296\) | −4.32960 | + | 7.49908i | −0.251653 | + | 0.435875i | ||||
\(297\) | 4.30711 | − | 9.57279i | 0.249924 | − | 0.555470i | ||||
\(298\) | − | 9.45517i | − | 0.547724i | ||||||
\(299\) | −0.217939 | − | 1.34937i | −0.0126037 | − | 0.0780362i | ||||
\(300\) | 5.36218 | + | 1.24534i | 0.309585 | + | 0.0718995i | ||||
\(301\) | −1.67005 | − | 6.23272i | −0.0962603 | − | 0.359248i | ||||
\(302\) | −8.58572 | − | 4.95697i | −0.494053 | − | 0.285242i | ||||
\(303\) | 5.09227 | + | 16.7342i | 0.292543 | + | 0.961355i | ||||
\(304\) | 0.213629 | − | 0.213629i | 0.0122524 | − | 0.0122524i | ||||
\(305\) | 8.79803 | − | 32.8347i | 0.503774 | − | 1.88011i | ||||
\(306\) | −3.38496 | + | 3.87347i | −0.193505 | + | 0.221431i | ||||
\(307\) | −17.3442 | − | 17.3442i | −0.989886 | − | 0.989886i | 0.0100636 | − | 0.999949i | \(-0.496797\pi\) |
−0.999949 | + | 0.0100636i | \(0.996797\pi\) | |||||||
\(308\) | 1.74952 | − | 1.01009i | 0.0996882 | − | 0.0575550i | ||||
\(309\) | 13.7474 | + | 12.8533i | 0.782063 | + | 0.731198i | ||||
\(310\) | −7.87238 | + | 2.10940i | −0.447121 | + | 0.119806i | ||||
\(311\) | −9.25725 | −0.524931 | −0.262465 | − | 0.964941i | \(-0.584536\pi\) | ||||
−0.262465 | + | 0.964941i | \(0.584536\pi\) | |||||||
\(312\) | 4.10529 | + | 4.70601i | 0.232417 | + | 0.266425i | ||||
\(313\) | −5.47229 | −0.309312 | −0.154656 | − | 0.987968i | \(-0.549427\pi\) | ||||
−0.154656 | + | 0.987968i | \(0.549427\pi\) | |||||||
\(314\) | −0.447848 | + | 0.120001i | −0.0252735 | + | 0.00677202i | ||||
\(315\) | −4.77888 | − | 7.12506i | −0.269259 | − | 0.401452i | ||||
\(316\) | −2.98071 | + | 1.72091i | −0.167678 | + | 0.0968089i | ||||
\(317\) | 2.92127 | + | 2.92127i | 0.164075 | + | 0.164075i | 0.784369 | − | 0.620294i | \(-0.212987\pi\) |
−0.620294 | + | 0.784369i | \(0.712987\pi\) | |||||||
\(318\) | −8.51582 | − | 4.54222i | −0.477543 | − | 0.254715i | ||||
\(319\) | 0.901873 | − | 3.36583i | 0.0504952 | − | 0.188451i | ||||
\(320\) | 2.02216 | − | 2.02216i | 0.113042 | − | 0.113042i | ||||
\(321\) | −14.5490 | + | 4.42731i | −0.812048 | + | 0.247109i | ||||
\(322\) | 0.328309 | + | 0.189549i | 0.0182959 | + | 0.0105632i | ||||
\(323\) | −0.134078 | − | 0.500387i | −0.00746031 | − | 0.0278423i | ||||
\(324\) | −7.12095 | + | 5.50382i | −0.395608 | + | 0.305768i | ||||
\(325\) | −7.23871 | − | 8.88355i | −0.401532 | − | 0.492771i | ||||
\(326\) | − | 17.5417i | − | 0.971544i | ||||||
\(327\) | −0.212583 | − | 6.32443i | −0.0117559 | − | 0.349742i | ||||
\(328\) | 1.01312 | − | 1.75478i | 0.0559402 | − | 0.0968914i | ||||
\(329\) | 3.97576 | + | 6.88622i | 0.219191 | + | 0.379650i | ||||
\(330\) | 5.29151 | + | 8.49285i | 0.291288 | + | 0.467516i | ||||
\(331\) | −12.6019 | − | 3.37667i | −0.692662 | − | 0.185598i | −0.104721 | − | 0.994502i | \(-0.533395\pi\) |
−0.587942 | + | 0.808903i | \(0.700062\pi\) | |||||||
\(332\) | 15.2975 | + | 4.09896i | 0.839560 | + | 0.224959i | ||||
\(333\) | 8.39327 | + | 24.5843i | 0.459949 | + | 1.34721i | ||||
\(334\) | −5.40404 | − | 9.36007i | −0.295696 | − | 0.512160i | ||||
\(335\) | −1.58847 | + | 2.75131i | −0.0867872 | + | 0.150320i | ||||
\(336\) | −1.73107 | + | 0.0581866i | −0.0944378 | + | 0.00317434i | ||||
\(337\) | 18.5887i | 1.01259i | 0.862360 | + | 0.506295i | \(0.168985\pi\) | ||||
−0.862360 | + | 0.506295i | \(0.831015\pi\) | |||||||
\(338\) | −0.759519 | − | 12.9778i | −0.0413124 | − | 0.705899i | ||||
\(339\) | −6.97787 | + | 30.0454i | −0.378986 | + | 1.63184i | ||||
\(340\) | −1.26915 | − | 4.73654i | −0.0688295 | − | 0.256875i | ||||
\(341\) | −4.98598 | − | 2.87866i | −0.270006 | − | 0.155888i | ||||
\(342\) | −0.0608615 | − | 0.904304i | −0.00329101 | − | 0.0488991i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 1.67005 | − | 6.23272i | 0.0900432 | − | 0.336046i | ||||
\(345\) | −0.883725 | + | 1.65682i | −0.0475782 | + | 0.0892002i | ||||
\(346\) | 15.8376 | + | 15.8376i | 0.851435 | + | 0.851435i | ||||
\(347\) | 6.87895 | − | 3.97157i | 0.369282 | − | 0.213205i | −0.303863 | − | 0.952716i | \(-0.598276\pi\) |
0.673145 | + | 0.739511i | \(0.264943\pi\) | |||||||
\(348\) | −2.04039 | + | 2.18232i | −0.109376 | + | 0.116985i | ||||
\(349\) | 32.6841 | − | 8.75767i | 1.74954 | − | 0.468787i | 0.765010 | − | 0.644018i | \(-0.222734\pi\) |
0.984527 | + | 0.175231i | \(0.0560673\pi\) | |||||||
\(350\) | 3.17825 | 0.169885 | ||||||||
\(351\) | 18.7350 | + | 0.0162933i | 1.00000 | + | 0.000869673i | ||||
\(352\) | 2.02017 | 0.107676 | ||||||||
\(353\) | −36.0817 | + | 9.66806i | −1.92043 | + | 0.514579i | −0.932120 | + | 0.362150i | \(0.882043\pi\) |
−0.988315 | + | 0.152428i | \(0.951291\pi\) | |||||||
\(354\) | 12.4705 | − | 13.3380i | 0.662802 | − | 0.708909i | ||||
\(355\) | 4.17626 | − | 2.41116i | 0.221653 | − | 0.127971i | ||||
\(356\) | 11.8032 | + | 11.8032i | 0.625568 | + | 0.625568i | ||||
\(357\) | −1.39773 | + | 2.62048i | −0.0739756 | + | 0.138691i | ||||
\(358\) | 4.87276 | − | 18.1854i | 0.257533 | − | 0.961128i | ||||
\(359\) | 11.1657 | − | 11.1657i | 0.589302 | − | 0.589302i | −0.348140 | − | 0.937442i | \(-0.613187\pi\) |
0.937442 | + | 0.348140i | \(0.113187\pi\) | |||||||
\(360\) | −0.576101 | − | 8.55993i | −0.0303632 | − | 0.451148i | ||||
\(361\) | −16.3754 | − | 9.45436i | −0.861865 | − | 0.497598i | ||||
\(362\) | −4.01084 | − | 14.9687i | −0.210805 | − | 0.786736i | ||||
\(363\) | 2.71104 | − | 11.6732i | 0.142293 | − | 0.612685i | ||||
\(364\) | 2.92340 | + | 2.11039i | 0.153228 | + | 0.110614i | ||||
\(365\) | − | 35.7151i | − | 1.86941i | ||||||
\(366\) | −20.5766 | + | 0.691643i | −1.07556 | + | 0.0361528i | ||||
\(367\) | 1.87960 | − | 3.25556i | 0.0981141 | − | 0.169939i | −0.812790 | − | 0.582557i | \(-0.802052\pi\) |
0.910904 | + | 0.412618i | \(0.135386\pi\) | |||||||
\(368\) | 0.189549 | + | 0.328309i | 0.00988093 | + | 0.0171143i | ||||
\(369\) | −1.96402 | − | 5.75270i | −0.102243 | − | 0.299474i | ||||
\(370\) | −23.9195 | − | 6.40920i | −1.24351 | − | 0.333198i | ||||
\(371\) | −5.38241 | − | 1.44221i | −0.279441 | − | 0.0748759i | ||||
\(372\) | 2.61032 | + | 4.18955i | 0.135339 | + | 0.217218i | ||||
\(373\) | −10.2831 | − | 17.8109i | −0.532441 | − | 0.922214i | −0.999283 | − | 0.0378734i | \(-0.987942\pi\) |
0.466842 | − | 0.884341i | \(-0.345392\pi\) | |||||||
\(374\) | 1.73199 | − | 2.99990i | 0.0895592 | − | 0.155121i | ||||
\(375\) | −0.303139 | − | 9.01851i | −0.0156540 | − | 0.465714i | ||||
\(376\) | 7.95152i | 0.410069i | ||||||||
\(377\) | 6.13961 | − | 0.991616i | 0.316206 | − | 0.0510708i | ||||
\(378\) | −3.28584 | + | 4.02532i | −0.169006 | + | 0.207040i | ||||
\(379\) | 9.49998 | + | 35.4544i | 0.487981 | + | 1.82117i | 0.566243 | + | 0.824239i | \(0.308397\pi\) |
−0.0782611 | + | 0.996933i | \(0.524937\pi\) | |||||||
\(380\) | 0.748230 | + | 0.431991i | 0.0383834 | + | 0.0221607i | ||||
\(381\) | 10.4754 | − | 3.18771i | 0.536673 | − | 0.163311i | ||||
\(382\) | 1.64118 | − | 1.64118i | 0.0839699 | − | 0.0839699i | ||||
\(383\) | 4.13925 | − | 15.4479i | 0.211506 | − | 0.789351i | −0.775862 | − | 0.630903i | \(-0.782685\pi\) |
0.987367 | − | 0.158447i | \(-0.0506488\pi\) | |||||||
\(384\) | −1.52825 | − | 0.815146i | −0.0779880 | − | 0.0415977i | ||||
\(385\) | 4.08511 | + | 4.08511i | 0.208196 | + | 0.208196i | ||||
\(386\) | 8.45803 | − | 4.88325i | 0.430502 | − | 0.248551i | ||||
\(387\) | −10.7828 | − | 16.0765i | −0.548119 | − | 0.817216i | ||||
\(388\) | 11.6792 | − | 3.12942i | 0.592919 | − | 0.158872i | ||||
\(389\) | −10.4677 | −0.530734 | −0.265367 | − | 0.964148i | \(-0.585493\pi\) | ||||
−0.265367 | + | 0.964148i | \(0.585493\pi\) | |||||||
\(390\) | −9.96093 | + | 14.8233i | −0.504391 | + | 0.750609i | ||||
\(391\) | 0.650039 | 0.0328739 | ||||||||
\(392\) | −0.965926 | + | 0.258819i | −0.0487866 | + | 0.0130723i | ||||
\(393\) | 15.5262 | + | 14.5164i | 0.783193 | + | 0.732255i | ||||
\(394\) | −15.3114 | + | 8.84002i | −0.771375 | + | 0.445354i | ||||
\(395\) | −6.95991 | − | 6.95991i | −0.350191 | − | 0.350191i | ||||
\(396\) | 3.98799 | − | 4.56353i | 0.200404 | − | 0.229326i | ||||
\(397\) | −4.27048 | + | 15.9377i | −0.214329 | + | 0.799888i | 0.772072 | + | 0.635535i | \(0.219220\pi\) |
−0.986402 | + | 0.164353i | \(0.947446\pi\) | |||||||
\(398\) | −8.33589 | + | 8.33589i | −0.417841 | + | 0.417841i | ||||
\(399\) | −0.152339 | − | 0.500616i | −0.00762648 | − | 0.0250621i | ||||
\(400\) | 2.75244 | + | 1.58912i | 0.137622 | + | 0.0794562i | ||||
\(401\) | −5.68020 | − | 21.1988i | −0.283656 | − | 1.05862i | −0.949816 | − | 0.312809i | \(-0.898730\pi\) |
0.666160 | − | 0.745809i | \(-0.267937\pi\) | |||||||
\(402\) | 1.87427 | + | 0.435288i | 0.0934799 | + | 0.0217102i | ||||
\(403\) | 1.04292 | − | 10.2225i | 0.0519516 | − | 0.509217i | ||||
\(404\) | 10.0989i | 0.502440i | ||||||||
\(405\) | −20.4740 | − | 15.5966i | −1.01736 | − | 0.775003i | ||||
\(406\) | −0.862444 | + | 1.49380i | −0.0428024 | + | 0.0741358i | ||||
\(407\) | −8.74653 | − | 15.1494i | −0.433549 | − | 0.750929i | ||||
\(408\) | −2.52071 | + | 1.57054i | −0.124794 | + | 0.0777533i | ||||
\(409\) | 25.7839 | + | 6.90876i | 1.27493 | + | 0.341616i | 0.831918 | − | 0.554899i | \(-0.187243\pi\) |
0.443012 | + | 0.896516i | \(0.353910\pi\) | |||||||
\(410\) | 5.59713 | + | 1.49975i | 0.276422 | + | 0.0740672i | ||||
\(411\) | −11.2305 | + | 6.99719i | −0.553958 | + | 0.345146i | ||||
\(412\) | 5.43291 | + | 9.41008i | 0.267660 | + | 0.463601i | ||||
\(413\) | 5.27113 | − | 9.12987i | 0.259375 | − | 0.449251i | ||||
\(414\) | 1.11583 | + | 0.219922i | 0.0548400 | + | 0.0108086i | ||||
\(415\) | 45.2905i | 2.22322i | ||||||||
\(416\) | 1.47655 | + | 3.28935i | 0.0723936 | + | 0.161274i | ||||
\(417\) | 20.8917 | + | 4.85199i | 1.02307 | + | 0.237603i | ||||
\(418\) | 0.157964 | + | 0.589531i | 0.00772628 | + | 0.0288349i | ||||
\(419\) | 23.4069 | + | 13.5140i | 1.14350 | + | 0.660202i | 0.947296 | − | 0.320361i | \(-0.103804\pi\) |
0.196207 | + | 0.980562i | \(0.437137\pi\) | |||||||
\(420\) | −1.44200 | − | 4.73871i | −0.0703626 | − | 0.231225i | ||||
\(421\) | −9.94114 | + | 9.94114i | −0.484502 | + | 0.484502i | −0.906566 | − | 0.422064i | \(-0.861306\pi\) |
0.422064 | + | 0.906566i | \(0.361306\pi\) | |||||||
\(422\) | 3.20654 | − | 11.9670i | 0.156092 | − | 0.582543i | ||||
\(423\) | 17.9623 | + | 15.6970i | 0.873358 | + | 0.763214i | ||||
\(424\) | −3.94020 | − | 3.94020i | −0.191353 | − | 0.191353i | ||||
\(425\) | 4.71961 | − | 2.72487i | 0.228935 | − | 0.132175i | ||||
\(426\) | −2.13346 | − | 1.99470i | −0.103367 | − | 0.0966436i | ||||
\(427\) | −11.4816 | + | 3.07649i | −0.555634 | + | 0.148882i | ||||
\(428\) | −8.78020 | −0.424407 | ||||||||
\(429\) | −12.3800 | + | 2.42882i | −0.597710 | + | 0.117264i | ||||
\(430\) | 18.4529 | 0.889877 | ||||||||
\(431\) | −1.57681 | + | 0.422506i | −0.0759524 | + | 0.0203514i | −0.296595 | − | 0.955003i | \(-0.595851\pi\) |
0.220643 | + | 0.975355i | \(0.429185\pi\) | |||||||
\(432\) | −4.85829 | + | 1.84311i | −0.233744 | + | 0.0886767i | ||||
\(433\) | −10.7496 | + | 6.20626i | −0.516591 | + | 0.298254i | −0.735539 | − | 0.677483i | \(-0.763071\pi\) |
0.218948 | + | 0.975737i | \(0.429738\pi\) | |||||||
\(434\) | 2.01519 | + | 2.01519i | 0.0967324 | + | 0.0967324i | ||||
\(435\) | −7.53849 | − | 4.02092i | −0.361443 | − | 0.192789i | ||||
\(436\) | 0.945588 | − | 3.52898i | 0.0452854 | − | 0.169008i | ||||
\(437\) | −0.0809862 | + | 0.0809862i | −0.00387410 | + | 0.00387410i | ||||
\(438\) | −20.6944 | + | 6.29735i | −0.988815 | + | 0.300899i | ||||
\(439\) | 8.84119 | + | 5.10446i | 0.421967 | + | 0.243623i | 0.695919 | − | 0.718121i | \(-0.254997\pi\) |
−0.273951 | + | 0.961744i | \(0.588331\pi\) | |||||||
\(440\) | 1.49525 | + | 5.58036i | 0.0712834 | + | 0.266033i | ||||
\(441\) | −1.32215 | + | 2.69294i | −0.0629597 | + | 0.128235i | ||||
\(442\) | 6.15050 | + | 0.627490i | 0.292550 | + | 0.0298467i | ||||
\(443\) | 22.6870i | 1.07789i | 0.842340 | + | 0.538947i | \(0.181178\pi\) | ||||
−0.842340 | + | 0.538947i | \(0.818822\pi\) | |||||||
\(444\) | 0.503849 | + | 14.9897i | 0.0239116 | + | 0.711379i | ||||
\(445\) | −23.8679 | + | 41.3404i | −1.13145 | + | 1.95972i | ||||
\(446\) | 14.0253 | + | 24.2925i | 0.664116 | + | 1.15028i | ||||
\(447\) | −8.66026 | − | 13.8997i | −0.409616 | − | 0.657432i | ||||
\(448\) | −0.965926 | − | 0.258819i | −0.0456357 | − | 0.0122281i | ||||
\(449\) | −32.8584 | − | 8.80439i | −1.55068 | − | 0.415505i | −0.620985 | − | 0.783823i | \(-0.713267\pi\) |
−0.929700 | + | 0.368318i | \(0.879934\pi\) | |||||||
\(450\) | 9.02336 | − | 3.08065i | 0.425365 | − | 0.145223i | ||||
\(451\) | 2.04668 | + | 3.54495i | 0.0963743 | + | 0.166925i | ||||
\(452\) | −8.90419 | + | 15.4225i | −0.418818 | + | 0.725414i | ||||
\(453\) | −17.1618 | + | 0.576858i | −0.806329 | + | 0.0271032i | ||||
\(454\) | − | 22.4777i | − | 1.05493i | ||||||
\(455\) | −3.66577 | + | 9.63739i | −0.171854 | + | 0.451808i | ||||
\(456\) | 0.118379 | − | 0.509715i | 0.00554358 | − | 0.0238696i | ||||
\(457\) | 0.162582 | + | 0.606763i | 0.00760525 | + | 0.0283832i | 0.969624 | − | 0.244600i | \(-0.0786565\pi\) |
−0.962019 | + | 0.272983i | \(0.911990\pi\) | |||||||
\(458\) | −18.0585 | − | 10.4261i | −0.843817 | − | 0.487178i | ||||
\(459\) | −1.42828 | + | 8.79461i | −0.0666663 | + | 0.410497i | ||||
\(460\) | −0.766597 | + | 0.766597i | −0.0357428 | + | 0.0357428i | ||||
\(461\) | 7.28736 | − | 27.1968i | 0.339406 | − | 1.26668i | −0.559607 | − | 0.828758i | \(-0.689048\pi\) |
0.899013 | − | 0.437922i | \(-0.144286\pi\) | |||||||
\(462\) | 1.64673 | − | 3.08732i | 0.0766130 | − | 0.143635i | ||||
\(463\) | 22.7070 | + | 22.7070i | 1.05528 | + | 1.05528i | 0.998380 | + | 0.0569025i | \(0.0181224\pi\) |
0.0569025 | + | 0.998380i | \(0.481878\pi\) | |||||||
\(464\) | −1.49380 | + | 0.862444i | −0.0693477 | + | 0.0400379i | ||||
\(465\) | −9.64081 | + | 10.3115i | −0.447082 | + | 0.478183i | ||||
\(466\) | 21.4813 | − | 5.75591i | 0.995104 | − | 0.266637i | ||||
\(467\) | −16.0335 | −0.741941 | −0.370971 | − | 0.928645i | \(-0.620975\pi\) | ||||
−0.370971 | + | 0.928645i | \(0.620975\pi\) | |||||||
\(468\) | 10.3454 | + | 3.15797i | 0.478216 | + | 0.145977i | ||||
\(469\) | 1.11091 | 0.0512970 | ||||||||
\(470\) | −21.9646 | + | 5.88541i | −1.01315 | + | 0.271474i | ||||
\(471\) | −0.548452 | + | 0.586604i | −0.0252713 | + | 0.0270293i | ||||
\(472\) | 9.12987 | − | 5.27113i | 0.420236 | − | 0.242623i | ||||
\(473\) | 9.21738 | + | 9.21738i | 0.423815 | + | 0.423815i | ||||
\(474\) | −2.80559 | + | 5.25996i | −0.128865 | + | 0.241598i | ||||
\(475\) | −0.248518 | + | 0.927483i | −0.0114028 | + | 0.0425558i | ||||
\(476\) | −1.21247 | + | 1.21247i | −0.0555737 | + | 0.0555737i | ||||
\(477\) | −16.6791 | + | 1.12254i | −0.763684 | + | 0.0513975i | ||||
\(478\) | 22.1838 | + | 12.8078i | 1.01466 | + | 0.585816i | ||||
\(479\) | 2.11394 | + | 7.88935i | 0.0965886 | + | 0.360474i | 0.997256 | − | 0.0740366i | \(-0.0235882\pi\) |
−0.900667 | + | 0.434510i | \(0.856922\pi\) | |||||||
\(480\) | 1.12054 | − | 4.82484i | 0.0511456 | − | 0.220223i | ||||
\(481\) | 18.2742 | − | 25.3143i | 0.833234 | − | 1.15423i | ||||
\(482\) | − | 28.6951i | − | 1.30702i | ||||||
\(483\) | 0.656247 | − | 0.0220584i | 0.0298603 | − | 0.00100369i | ||||
\(484\) | 3.45945 | − | 5.99195i | 0.157248 | − | 0.272361i | ||||
\(485\) | 17.2889 | + | 29.9453i | 0.785049 | + | 1.35975i | ||||
\(486\) | −5.42712 | + | 14.6132i | −0.246179 | + | 0.662869i | ||||
\(487\) | 4.45680 | + | 1.19420i | 0.201957 | + | 0.0541142i | 0.358379 | − | 0.933576i | \(-0.383329\pi\) |
−0.156422 | + | 0.987690i | \(0.549996\pi\) | |||||||
\(488\) | −11.4816 | − | 3.07649i | −0.519748 | − | 0.139266i | ||||
\(489\) | −16.0669 | − | 25.7873i | −0.726571 | − | 1.16614i | ||||
\(490\) | −1.42988 | − | 2.47663i | −0.0645955 | − | 0.111883i | ||||
\(491\) | 5.12254 | − | 8.87251i | 0.231177 | − | 0.400411i | −0.726978 | − | 0.686661i | \(-0.759076\pi\) |
0.958155 | + | 0.286251i | \(0.0924090\pi\) | |||||||
\(492\) | −0.117900 | − | 3.50757i | −0.00531535 | − | 0.158134i | ||||
\(493\) | 2.95766i | 0.133206i | ||||||||
\(494\) | −0.844448 | + | 0.688094i | −0.0379935 | + | 0.0309588i | ||||
\(495\) | 15.5577 | + | 7.63836i | 0.699265 | + | 0.343319i | ||||
\(496\) | 0.737612 | + | 2.75281i | 0.0331198 | + | 0.123605i | ||||
\(497\) | −1.46035 | − | 0.843133i | −0.0655056 | − | 0.0378197i | ||||
\(498\) | 26.2426 | − | 7.98570i | 1.17596 | − | 0.357848i | ||||
\(499\) | 19.5401 | − | 19.5401i | 0.874737 | − | 0.874737i | −0.118247 | − | 0.992984i | \(-0.537727\pi\) |
0.992984 | + | 0.118247i | \(0.0377275\pi\) | |||||||
\(500\) | 1.34839 | − | 5.03226i | 0.0603018 | − | 0.225050i | ||||
\(501\) | −16.5174 | − | 8.81016i | −0.737944 | − | 0.393609i | ||||
\(502\) | 6.37064 | + | 6.37064i | 0.284336 | + | 0.284336i | ||||
\(503\) | −8.88415 | + | 5.12927i | −0.396125 | + | 0.228703i | −0.684810 | − | 0.728721i | \(-0.740115\pi\) |
0.288686 | + | 0.957424i | \(0.406782\pi\) | |||||||
\(504\) | −2.49149 | + | 1.67108i | −0.110980 | + | 0.0744356i | ||||
\(505\) | −27.8965 | + | 7.47484i | −1.24138 | + | 0.332626i | ||||
\(506\) | −0.765844 | −0.0340459 | ||||||||
\(507\) | −13.0033 | − | 18.3825i | −0.577495 | − | 0.816394i | ||||
\(508\) | 6.32183 | 0.280486 | ||||||||
\(509\) | −13.4969 | + | 3.61649i | −0.598240 | + | 0.160298i | −0.545217 | − | 0.838295i | \(-0.683553\pi\) |
−0.0530237 | + | 0.998593i | \(0.516886\pi\) | |||||||
\(510\) | −6.20406 | − | 5.80055i | −0.274720 | − | 0.256853i | ||||
\(511\) | −10.8156 | + | 6.24442i | −0.478456 | + | 0.276237i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −0.917747 | − | 1.27364i | −0.0405195 | − | 0.0562324i | ||||
\(514\) | 4.15228 | − | 15.4965i | 0.183149 | − | 0.683523i | ||||
\(515\) | −21.9724 | + | 21.9724i | −0.968220 | + | 0.968220i | ||||
\(516\) | −3.25364 | − | 10.6921i | −0.143234 | − | 0.470695i | ||||
\(517\) | −13.9113 | − | 8.03172i | −0.611820 | − | 0.353235i | ||||
\(518\) | 2.24116 | + | 8.36414i | 0.0984711 | + | 0.367499i | ||||
\(519\) | 37.7884 | + | 8.77613i | 1.65872 | + | 0.385230i | ||||
\(520\) | −7.99335 | + | 6.51334i | −0.350532 | + | 0.285629i | ||||
\(521\) | 30.8627i | 1.35212i | 0.736848 | + | 0.676059i | \(0.236314\pi\) | ||||
−0.736848 | + | 0.676059i | \(0.763686\pi\) | |||||||
\(522\) | −1.00064 | + | 5.07699i | −0.0437968 | + | 0.222214i | ||||
\(523\) | −1.87075 | + | 3.24023i | −0.0818021 | + | 0.141685i | −0.904024 | − | 0.427482i | \(-0.859401\pi\) |
0.822222 | + | 0.569167i | \(0.192734\pi\) | |||||||
\(524\) | 6.13588 | + | 10.6277i | 0.268047 | + | 0.464271i | ||||
\(525\) | 4.67222 | − | 2.91105i | 0.203912 | − | 0.127048i | ||||
\(526\) | −17.7337 | − | 4.75172i | −0.773225 | − | 0.207185i | ||||
\(527\) | 4.72023 | + | 1.26478i | 0.205617 | + | 0.0550948i | ||||
\(528\) | 2.96977 | − | 1.85033i | 0.129243 | − | 0.0805253i | ||||
\(529\) | 11.4281 | + | 19.7941i | 0.496876 | + | 0.860614i | ||||
\(530\) | 7.96770 | − | 13.8005i | 0.346095 | − | 0.599454i | ||||
\(531\) | 6.11576 | − | 31.0298i | 0.265401 | − | 1.34658i | ||||
\(532\) | − | 0.302116i | − | 0.0130984i | ||||||
\(533\) | −4.27615 | + | 5.92352i | −0.185221 | + | 0.256576i | ||||
\(534\) | 28.1623 | + | 6.54053i | 1.21870 | + | 0.283036i | ||||
\(535\) | −6.49876 | − | 24.2537i | −0.280966 | − | 1.04858i | ||||
\(536\) | 0.962074 | + | 0.555454i | 0.0415553 | + | 0.0239920i | ||||
\(537\) | −9.49325 | − | 31.1967i | −0.409664 | − | 1.34624i | ||||
\(538\) | 12.0515 | − | 12.0515i | 0.519575 | − | 0.519575i | ||||
\(539\) | 0.522859 | − | 1.95134i | 0.0225211 | − | 0.0840500i | ||||
\(540\) | −8.68718 | − | 12.0559i | −0.373837 | − | 0.518805i | ||||
\(541\) | 4.85285 | + | 4.85285i | 0.208640 | + | 0.208640i | 0.803689 | − | 0.595049i | \(-0.202867\pi\) |
−0.595049 | + | 0.803689i | \(0.702867\pi\) | |||||||
\(542\) | 5.55308 | − | 3.20607i | 0.238525 | − | 0.137713i | ||||
\(543\) | −19.6064 | − | 18.3312i | −0.841392 | − | 0.786668i | ||||
\(544\) | −1.65627 | + | 0.443796i | −0.0710120 | + | 0.0190276i | ||||
\(545\) | 10.4481 | 0.447546 | ||||||||
\(546\) | 6.23054 | + | 0.424771i | 0.266642 | + | 0.0181785i | ||||
\(547\) | −23.8173 | −1.01835 | −0.509177 | − | 0.860662i | \(-0.670050\pi\) | ||||
−0.509177 | + | 0.860662i | \(0.670050\pi\) | |||||||
\(548\) | −7.37915 | + | 1.97724i | −0.315221 | + | 0.0844633i | ||||
\(549\) | −29.6154 | + | 19.8635i | −1.26395 | + | 0.847752i | ||||
\(550\) | −5.56041 | + | 3.21030i | −0.237097 | + | 0.136888i | ||||
\(551\) | −0.368485 | − | 0.368485i | −0.0156980 | − | 0.0156980i | ||||
\(552\) | 0.579356 | + | 0.309020i | 0.0246590 | + | 0.0131528i | ||||
\(553\) | −0.890810 | + | 3.32455i | −0.0378811 | + | 0.141374i | ||||
\(554\) | 1.05220 | − | 1.05220i | 0.0447036 | − | 0.0447036i | ||||
\(555\) | −41.0334 | + | 12.4866i | −1.74177 | + | 0.530026i | ||||
\(556\) | 10.7239 | + | 6.19143i | 0.454794 | + | 0.262575i | ||||
\(557\) | 2.27391 | + | 8.48636i | 0.0963488 | + | 0.359579i | 0.997221 | − | 0.0745068i | \(-0.0237382\pi\) |
−0.900872 | + | 0.434085i | \(0.857072\pi\) | |||||||
\(558\) | 7.67464 | + | 3.76802i | 0.324894 | + | 0.159513i | ||||
\(559\) | −8.27122 | + | 21.7452i | −0.349835 | + | 0.919724i | ||||
\(560\) | − | 2.85976i | − | 0.120847i | ||||||
\(561\) | −0.201557 | − | 5.99641i | −0.00850976 | − | 0.253169i | ||||
\(562\) | −0.469839 | + | 0.813785i | −0.0198190 | + | 0.0343274i | ||||
\(563\) | −8.08713 | − | 14.0073i | −0.340832 | − | 0.590338i | 0.643756 | − | 0.765231i | \(-0.277375\pi\) |
−0.984587 | + | 0.174893i | \(0.944042\pi\) | |||||||
\(564\) | 7.28302 | + | 11.6892i | 0.306670 | + | 0.492205i | ||||
\(565\) | −49.1924 | − | 13.1811i | −2.06954 | − | 0.554532i | ||||
\(566\) | −5.28611 | − | 1.41641i | −0.222192 | − | 0.0595361i | ||||
\(567\) | −1.14348 | + | 8.92706i | −0.0480217 | + | 0.374901i | ||||
\(568\) | −0.843133 | − | 1.46035i | −0.0353771 | − | 0.0612749i | ||||
\(569\) | −18.2667 | + | 31.6389i | −0.765780 | + | 1.32637i | 0.174053 | + | 0.984736i | \(0.444314\pi\) |
−0.939833 | + | 0.341634i | \(0.889020\pi\) | |||||||
\(570\) | 1.49562 | − | 0.0502722i | 0.0626444 | − | 0.00210567i | ||||
\(571\) | − | 38.5289i | − | 1.61238i | −0.591655 | − | 0.806191i | \(-0.701525\pi\) | ||
0.591655 | − | 0.806191i | \(-0.298475\pi\) | |||||||
\(572\) | −7.24622 | − | 0.739278i | −0.302980 | − | 0.0309108i | ||||
\(573\) | 0.909429 | − | 3.91583i | 0.0379919 | − | 0.163586i | ||||
\(574\) | −0.524430 | − | 1.95720i | −0.0218893 | − | 0.0816919i | ||||
\(575\) | −1.04345 | − | 0.602434i | −0.0435147 | − | 0.0251233i | ||||
\(576\) | −2.99323 | + | 0.201451i | −0.124718 | + | 0.00839377i | ||||
\(577\) | −13.9447 | + | 13.9447i | −0.580527 | + | 0.580527i | −0.935048 | − | 0.354521i | \(-0.884644\pi\) |
0.354521 | + | 0.935048i | \(0.384644\pi\) | |||||||
\(578\) | 3.63895 | − | 13.5807i | 0.151360 | − | 0.564884i | ||||
\(579\) | 7.96111 | − | 14.9256i | 0.330853 | − | 0.620287i | ||||
\(580\) | −3.48799 | − | 3.48799i | −0.144831 | − | 0.144831i | ||||
\(581\) | 13.7154 | − | 7.91858i | 0.569010 | − | 0.328518i | ||||
\(582\) | 14.3027 | − | 15.2977i | 0.592868 | − | 0.634110i | ||||
\(583\) | 10.8734 | − | 2.91352i | 0.450330 | − | 0.120666i | ||||
\(584\) | −12.4888 | −0.516792 | ||||||||
\(585\) | −1.06605 | + | 30.9147i | −0.0440759 | + | 1.27817i | ||||
\(586\) | 9.83241 | 0.406173 | ||||||||
\(587\) | −36.5918 | + | 9.80474i | −1.51030 | + | 0.404685i | −0.916536 | − | 0.399952i | \(-0.869027\pi\) |
−0.593768 | + | 0.804636i | \(0.702360\pi\) | |||||||
\(588\) | −1.18291 | + | 1.26520i | −0.0487824 | + | 0.0521759i | ||||
\(589\) | −0.745653 | + | 0.430503i | −0.0307241 | + | 0.0177386i | ||||
\(590\) | 21.3181 | + | 21.3181i | 0.877653 | + | 0.877653i | ||||
\(591\) | −14.4118 | + | 27.0195i | −0.592823 | + | 1.11143i | ||||
\(592\) | −2.24116 | + | 8.36414i | −0.0921113 | + | 0.343764i | ||||
\(593\) | 0.199598 | − | 0.199598i | 0.00819652 | − | 0.00819652i | −0.702997 | − | 0.711193i | \(-0.748155\pi\) |
0.711193 | + | 0.702997i | \(0.248155\pi\) | |||||||
\(594\) | 1.68273 | − | 10.3614i | 0.0690431 | − | 0.425132i | ||||
\(595\) | −4.24667 | − | 2.45182i | −0.174096 | − | 0.100515i | ||||
\(596\) | −2.44718 | − | 9.13300i | −0.100240 | − | 0.374102i | ||||
\(597\) | −4.61919 | + | 19.8893i | −0.189051 | + | 0.814017i | ||||
\(598\) | −0.559756 | − | 1.24699i | −0.0228901 | − | 0.0509931i | ||||
\(599\) | 34.6766i | 1.41685i | 0.705787 | + | 0.708424i | \(0.250593\pi\) | ||||
−0.705787 | + | 0.708424i | \(0.749407\pi\) | |||||||
\(600\) | 5.50178 | − | 0.184931i | 0.224609 | − | 0.00754980i | ||||
\(601\) | −6.15647 | + | 10.6633i | −0.251128 | + | 0.434966i | −0.963837 | − | 0.266494i | \(-0.914135\pi\) |
0.712709 | + | 0.701460i | \(0.247468\pi\) | |||||||
\(602\) | −3.22629 | − | 5.58811i | −0.131494 | − | 0.227754i | ||||
\(603\) | 3.15398 | − | 1.07679i | 0.128440 | − | 0.0438504i | ||||
\(604\) | −9.57613 | − | 2.56592i | −0.389647 | − | 0.104406i | ||||
\(605\) | 19.1122 | + | 5.12111i | 0.777023 | + | 0.208203i | ||||
\(606\) | 9.24989 | + | 14.8460i | 0.375751 | + | 0.603079i | ||||
\(607\) | 4.00453 | + | 6.93604i | 0.162539 | + | 0.281525i | 0.935778 | − | 0.352588i | \(-0.114698\pi\) |
−0.773240 | + | 0.634114i | \(0.781365\pi\) | |||||||
\(608\) | 0.151058 | − | 0.261640i | 0.00612622 | − | 0.0106109i | ||||
\(609\) | 0.100365 | + | 2.98591i | 0.00406701 | + | 0.120995i | ||||
\(610\) | − | 33.9930i | − | 1.37634i | ||||||
\(611\) | 2.90984 | − | 28.5216i | 0.117720 | − | 1.15386i | ||||
\(612\) | −2.26709 | + | 4.61757i | −0.0916418 | + | 0.186654i | ||||
\(613\) | 3.24659 | + | 12.1164i | 0.131128 | + | 0.489378i | 0.999984 | − | 0.00568791i | \(-0.00181053\pi\) |
−0.868855 | + | 0.495066i | \(0.835144\pi\) | |||||||
\(614\) | −21.2422 | − | 12.2642i | −0.857266 | − | 0.494943i | ||||
\(615\) | 9.60177 | − | 2.92185i | 0.387181 | − | 0.117820i | ||||
\(616\) | 1.42848 | − | 1.42848i | 0.0575550 | − | 0.0575550i | ||||
\(617\) | 6.13143 | − | 22.8828i | 0.246842 | − | 0.921227i | −0.725606 | − | 0.688110i | \(-0.758441\pi\) |
0.972449 | − | 0.233117i | \(-0.0748927\pi\) | |||||||
\(618\) | 16.6057 | + | 8.85723i | 0.667977 | + | 0.356290i | ||||
\(619\) | 0.161544 | + | 0.161544i | 0.00649300 | + | 0.00649300i | 0.710346 | − | 0.703853i | \(-0.248539\pi\) |
−0.703853 | + | 0.710346i | \(0.748539\pi\) | |||||||
\(620\) | −7.05818 | + | 4.07504i | −0.283463 | + | 0.163658i | ||||
\(621\) | 1.84177 | − | 0.698720i | 0.0739076 | − | 0.0280387i | ||||
\(622\) | −8.94182 | + | 2.39595i | −0.358534 | + | 0.0960690i | ||||
\(623\) | 16.6922 | 0.668760 | ||||||||
\(624\) | 5.18342 | + | 3.48313i | 0.207503 | + | 0.139437i | ||||
\(625\) | 30.7900 | 1.23160 | ||||||||
\(626\) | −5.28583 | + | 1.41633i | −0.211264 | + | 0.0566080i | ||||
\(627\) | 0.772184 | + | 0.721962i | 0.0308381 | + | 0.0288324i | ||||
\(628\) | −0.401530 | + | 0.231823i | −0.0160228 | + | 0.00925075i | ||||
\(629\) | 10.4990 | + | 10.4990i | 0.418624 | + | 0.418624i | ||||
\(630\) | −6.46015 | − | 5.64542i | −0.257378 | − | 0.224919i | ||||
\(631\) | −3.08221 | + | 11.5030i | −0.122701 | + | 0.457926i | −0.999747 | − | 0.0224796i | \(-0.992844\pi\) |
0.877046 | + | 0.480406i | \(0.159511\pi\) | |||||||
\(632\) | −2.43374 | + | 2.43374i | −0.0968089 | + | 0.0968089i | ||||
\(633\) | −6.24707 | − | 20.5291i | −0.248299 | − | 0.815960i | ||||
\(634\) | 3.57781 | + | 2.06565i | 0.142093 | + | 0.0820374i | ||||
\(635\) | 4.67917 | + | 17.4629i | 0.185687 | + | 0.692994i | ||||
\(636\) | −9.40126 | − | 2.18339i | −0.372784 | − | 0.0865771i | ||||
\(637\) | 3.55942 | − | 0.574888i | 0.141030 | − | 0.0227779i | ||||
\(638\) | − | 3.48457i | − | 0.137955i | ||||||
\(639\) | −4.96332 | − | 0.978234i | −0.196346 | − | 0.0386983i | ||||
\(640\) | 1.42988 | − | 2.47663i | 0.0565210 | − | 0.0978973i | ||||
\(641\) | 11.7572 | + | 20.3640i | 0.464381 | + | 0.804331i | 0.999173 | − | 0.0406525i | \(-0.0129437\pi\) |
−0.534793 | + | 0.844983i | \(0.679610\pi\) | |||||||
\(642\) | −12.9074 | + | 8.04202i | −0.509415 | + | 0.317393i | ||||
\(643\) | 39.9287 | + | 10.6989i | 1.57464 | + | 0.421922i | 0.937260 | − | 0.348631i | \(-0.113353\pi\) |
0.637376 | + | 0.770553i | \(0.280020\pi\) | |||||||
\(644\) | 0.366181 | + | 0.0981179i | 0.0144295 | + | 0.00386639i | ||||
\(645\) | 27.1268 | − | 16.9015i | 1.06812 | − | 0.665496i | ||||
\(646\) | −0.259019 | − | 0.448634i | −0.0101910 | − | 0.0176513i | ||||
\(647\) | 6.50329 | − | 11.2640i | 0.255671 | − | 0.442834i | −0.709407 | − | 0.704799i | \(-0.751037\pi\) |
0.965077 | + | 0.261965i | \(0.0843704\pi\) | |||||||
\(648\) | −5.45382 | + | 7.15932i | −0.214246 | + | 0.281245i | ||||
\(649\) | 21.2972i | 0.835987i | ||||||||
\(650\) | −9.29129 | − | 6.70733i | −0.364434 | − | 0.263083i | ||||
\(651\) | 4.80823 | + | 1.11668i | 0.188449 | + | 0.0437663i | ||||
\(652\) | −4.54012 | − | 16.9440i | −0.177805 | − | 0.663577i | ||||
\(653\) | 19.9695 | + | 11.5294i | 0.781467 | + | 0.451180i | 0.836950 | − | 0.547279i | \(-0.184336\pi\) |
−0.0554827 | + | 0.998460i | \(0.517670\pi\) | |||||||
\(654\) | −1.84222 | − | 6.05391i | −0.0720365 | − | 0.236726i | ||||
\(655\) | −24.8154 | + | 24.8154i | −0.969620 | + | 0.969620i | ||||
\(656\) | 0.524430 | − | 1.95720i | 0.0204756 | − | 0.0764158i | ||||
\(657\) | −24.6540 | + | 28.2120i | −0.961845 | + | 1.10066i | ||||
\(658\) | 5.62258 | + | 5.62258i | 0.219191 | + | 0.219191i | ||||
\(659\) | −33.6049 | + | 19.4018i | −1.30906 | + | 0.755786i | −0.981939 | − | 0.189197i | \(-0.939412\pi\) |
−0.327120 | + | 0.944983i | \(0.606078\pi\) | |||||||
\(660\) | 7.30932 | + | 6.83392i | 0.284515 | + | 0.266010i | ||||
\(661\) | −27.5411 | + | 7.37962i | −1.07123 | + | 0.287034i | −0.750997 | − | 0.660306i | \(-0.770427\pi\) |
−0.320229 | + | 0.947340i | \(0.603760\pi\) | |||||||
\(662\) | −13.0464 | −0.507064 | ||||||||
\(663\) | 9.61635 | − | 4.71097i | 0.373468 | − | 0.182959i | ||||
\(664\) | 15.8372 | 0.614601 | ||||||||
\(665\) | 0.834542 | − | 0.223615i | 0.0323622 | − | 0.00867141i | ||||
\(666\) | 14.4702 | + | 21.5743i | 0.560707 | + | 0.835986i | ||||
\(667\) | 0.566296 | − | 0.326951i | 0.0219271 | − | 0.0126596i | ||||
\(668\) | −7.64247 | − | 7.64247i | −0.295696 | − | 0.295696i | ||||
\(669\) | 42.8682 | + | 22.8653i | 1.65738 | + | 0.884023i | ||||
\(670\) | −0.822251 | + | 3.06868i | −0.0317663 | + | 0.118554i | ||||
\(671\) | 16.9798 | − | 16.9798i | 0.655497 | − | 0.655497i | ||||
\(672\) | −1.65703 | + | 0.504239i | −0.0639213 | + | 0.0194514i | ||||
\(673\) | −34.8701 | − | 20.1322i | −1.34414 | − | 0.776041i | −0.356730 | − | 0.934207i | \(-0.616108\pi\) |
−0.987412 | + | 0.158166i | \(0.949442\pi\) | |||||||
\(674\) | 4.81110 | + | 17.9553i | 0.185317 | + | 0.691612i | ||||
\(675\) | 10.4432 | − | 12.7935i | 0.401960 | − | 0.492421i | ||||
\(676\) | −4.09254 | − | 12.3390i | −0.157405 | − | 0.474577i | ||||
\(677\) | − | 9.96090i | − | 0.382828i | −0.981509 | − | 0.191414i | \(-0.938693\pi\) | ||
0.981509 | − | 0.191414i | \(-0.0613074\pi\) | |||||||
\(678\) | 1.03621 | + | 30.8276i | 0.0397954 | + | 1.18393i | ||||
\(679\) | 6.04558 | − | 10.4712i | 0.232008 | − | 0.401849i | ||||
\(680\) | −2.45182 | − | 4.24667i | −0.0940228 | − | 0.162852i | ||||
\(681\) | −20.5879 | − | 33.0435i | −0.788930 | − | 1.26623i | ||||
\(682\) | −5.56114 | − | 1.49010i | −0.212947 | − | 0.0570590i | ||||
\(683\) | −26.5474 | − | 7.11336i | −1.01581 | − | 0.272185i | −0.287754 | − | 0.957704i | \(-0.592909\pi\) |
−0.728055 | + | 0.685519i | \(0.759575\pi\) | |||||||
\(684\) | −0.292839 | − | 0.857738i | −0.0111970 | − | 0.0327964i | ||||
\(685\) | −10.9235 | − | 18.9201i | −0.417366 | − | 0.722899i | ||||
\(686\) | −0.500000 | + | 0.866025i | −0.0190901 | + | 0.0330650i | ||||
\(687\) | −36.0965 | + | 1.21331i | −1.37717 | + | 0.0462908i | ||||
\(688\) | − | 6.45259i | − | 0.246003i | ||||||
\(689\) | 12.6913 | + | 15.5751i | 0.483500 | + | 0.593365i | ||||
\(690\) | −0.424796 | + | 1.82909i | −0.0161717 | + | 0.0696323i | ||||
\(691\) | 4.12190 | + | 15.3832i | 0.156805 | + | 0.585203i | 0.998944 | + | 0.0459429i | \(0.0146292\pi\) |
−0.842139 | + | 0.539260i | \(0.818704\pi\) | |||||||
\(692\) | 19.3970 | + | 11.1989i | 0.737365 | + | 0.425718i | ||||
\(693\) | −0.406965 | − | 6.04684i | −0.0154593 | − | 0.229700i | ||||
\(694\) | 5.61664 | − | 5.61664i | 0.213205 | − | 0.213205i | ||||
\(695\) | −9.16532 | + | 34.2054i | −0.347660 | + | 1.29749i | ||||
\(696\) | −1.40603 | + | 2.63605i | −0.0532956 | + | 0.0999193i | ||||
\(697\) | −2.45677 | − | 2.45677i | −0.0930567 | − | 0.0930567i | ||||
\(698\) | 29.3037 | − | 16.9185i | 1.10916 | − | 0.640375i | ||||
\(699\) | 26.3069 | − | 28.1369i | 0.995017 | − | 1.06424i | ||||
\(700\) | 3.06995 | − | 0.822591i | 0.116033 | − | 0.0310910i | ||||
\(701\) | 19.7505 | 0.745965 | 0.372982 | − | 0.927838i | \(-0.378335\pi\) | ||||
0.372982 | + | 0.927838i | \(0.378335\pi\) | |||||||
\(702\) | 18.1008 | − | 4.83323i | 0.683172 | − | 0.182419i | ||||
\(703\) | −2.61608 | −0.0986675 | ||||||||
\(704\) | 1.95134 | − | 0.522859i | 0.0735437 | − | 0.0197060i | ||||
\(705\) | −26.8987 | + | 28.7699i | −1.01307 | + | 1.08354i | ||||
\(706\) | −32.3500 | + | 18.6773i | −1.21751 | + | 0.702928i | ||||
\(707\) | 7.14102 | + | 7.14102i | 0.268566 | + | 0.268566i | ||||
\(708\) | 8.59348 | − | 16.1112i | 0.322963 | − | 0.605495i | ||||
\(709\) | −3.84987 | + | 14.3679i | −0.144585 | + | 0.539599i | 0.855188 | + | 0.518317i | \(0.173441\pi\) |
−0.999774 | + | 0.0212816i | \(0.993225\pi\) | |||||||
\(710\) | 3.40990 | − | 3.40990i | 0.127971 | − | 0.127971i | ||||
\(711\) | 0.693357 | + | 10.3022i | 0.0260029 | + | 0.386361i | ||||
\(712\) | 14.4559 | + | 8.34611i | 0.541757 | + | 0.312784i | ||||
\(713\) | −0.279628 | − | 1.04358i | −0.0104721 | − | 0.0390825i | ||||
\(714\) | −0.671871 | + | 2.89295i | −0.0251442 | + | 0.108266i | ||||
\(715\) | −3.32125 | − | 20.5636i | −0.124208 | − | 0.769033i | ||||
\(716\) | − | 18.8269i | − | 0.703594i | ||||||
\(717\) | 44.3426 | − | 1.49049i | 1.65600 | − | 0.0556633i | ||||
\(718\) | 7.89533 | − | 13.6751i | 0.294651 | − | 0.510351i | ||||
\(719\) | −22.3008 | − | 38.6261i | −0.831679 | − | 1.44051i | −0.896706 | − | 0.442627i | \(-0.854046\pi\) |
0.0650264 | − | 0.997884i | \(-0.479287\pi\) | |||||||
\(720\) | −2.77194 | − | 8.11915i | −0.103304 | − | 0.302583i | ||||
\(721\) | 10.4956 | + | 2.81228i | 0.390876 | + | 0.104735i | ||||
\(722\) | −18.2644 | − | 4.89394i | −0.679732 | − | 0.182134i | ||||
\(723\) | −26.2826 | − | 42.1835i | −0.977460 | − | 1.56882i | ||||
\(724\) | −7.74836 | − | 13.4205i | −0.287965 | − | 0.498771i | ||||
\(725\) | 2.74106 | − | 4.74765i | 0.101800 | − | 0.176323i | ||||
\(726\) | −0.402588 | − | 11.9771i | −0.0149414 | − | 0.444513i | ||||
\(727\) | 26.3778i | 0.978297i | 0.872200 | + | 0.489149i | \(0.162692\pi\) | ||||
−0.872200 | + | 0.489149i | \(0.837308\pi\) | |||||||
\(728\) | 3.37000 | + | 1.28184i | 0.124900 | + | 0.0475083i | ||||
\(729\) | 5.40646 | + | 26.4532i | 0.200239 | + | 0.979747i | ||||
\(730\) | −9.24375 | − | 34.4982i | −0.342127 | − | 1.27683i | ||||
\(731\) | −9.58191 | − | 5.53212i | −0.354400 | − | 0.204613i | ||||
\(732\) | −19.6965 | + | 5.99370i | −0.728003 | + | 0.221534i | ||||
\(733\) | −2.63887 | + | 2.63887i | −0.0974689 | + | 0.0974689i | −0.754160 | − | 0.656691i | \(-0.771956\pi\) |
0.656691 | + | 0.754160i | \(0.271956\pi\) | |||||||
\(734\) | 0.972951 | − | 3.63110i | 0.0359123 | − | 0.134026i | ||||
\(735\) | −4.37042 | − | 2.33112i | −0.161206 | − | 0.0859848i | ||||
\(736\) | 0.268063 | + | 0.268063i | 0.00988093 | + | 0.00988093i | ||||
\(737\) | −1.94356 | + | 1.12211i | −0.0715918 | + | 0.0413335i | ||||
\(738\) | −3.38600 | − | 5.04836i | −0.124641 | − | 0.185833i | ||||
\(739\) | 17.6302 | − | 4.72398i | 0.648536 | − | 0.173775i | 0.0804689 | − | 0.996757i | \(-0.474358\pi\) |
0.568067 | + | 0.822983i | \(0.307692\pi\) | |||||||
\(740\) | −24.7632 | −0.910315 | ||||||||
\(741\) | −0.611145 | + | 1.78499i | −0.0224510 | + | 0.0655734i | ||||
\(742\) | −5.57228 | −0.204565 | ||||||||
\(743\) | 21.0760 | − | 5.64730i | 0.773203 | − | 0.207179i | 0.149417 | − | 0.988774i | \(-0.452260\pi\) |
0.623786 | + | 0.781595i | \(0.285594\pi\) | |||||||
\(744\) | 3.60571 | + | 3.37119i | 0.132192 | + | 0.123594i | ||||
\(745\) | 23.4169 | − | 13.5198i | 0.857931 | − | 0.495326i | ||||
\(746\) | −14.5426 | − | 14.5426i | −0.532441 | − | 0.532441i | ||||
\(747\) | 31.2639 | − | 35.7758i | 1.14389 | − | 1.30897i | ||||
\(748\) | 0.896545 | − | 3.34595i | 0.0327809 | − | 0.122340i | ||||
\(749\) | −6.20854 | + | 6.20854i | −0.226855 | + | 0.226855i | ||||
\(750\) | −2.62697 | − | 8.63275i | −0.0959235 | − | 0.315224i | ||||
\(751\) | 6.43538 | + | 3.71547i | 0.234830 | + | 0.135579i | 0.612798 | − | 0.790239i | \(-0.290044\pi\) |
−0.377968 | + | 0.925819i | \(0.623377\pi\) | |||||||
\(752\) | 2.05801 | + | 7.68058i | 0.0750477 | + | 0.280082i | ||||
\(753\) | 15.2003 | + | 3.53018i | 0.553929 | + | 0.128647i | ||||
\(754\) | 5.67375 | − | 2.54687i | 0.206626 | − | 0.0927517i | ||||
\(755\) | − | 28.3515i | − | 1.03182i | ||||||
\(756\) | −2.13205 | + | 4.73860i | −0.0775419 | + | 0.172341i | ||||
\(757\) | 3.38014 | − | 5.85457i | 0.122853 | − | 0.212788i | −0.798039 | − | 0.602606i | \(-0.794129\pi\) |
0.920892 | + | 0.389819i | \(0.127462\pi\) | |||||||
\(758\) | 18.3526 | + | 31.7876i | 0.666595 | + | 1.15458i | ||||
\(759\) | −1.12584 | + | 0.701458i | −0.0408653 | + | 0.0254613i | ||||
\(760\) | 0.834542 | + | 0.223615i | 0.0302720 | + | 0.00811136i | ||||
\(761\) | 29.0850 | + | 7.79331i | 1.05433 | + | 0.282507i | 0.744040 | − | 0.668135i | \(-0.232907\pi\) |
0.310291 | + | 0.950642i | \(0.399574\pi\) | |||||||
\(762\) | 9.29347 | − | 5.79034i | 0.336667 | − | 0.209762i | ||||
\(763\) | −1.82674 | − | 3.16400i | −0.0661323 | − | 0.114544i | ||||
\(764\) | 1.16049 | − | 2.01002i | 0.0419849 | − | 0.0727201i | ||||
\(765\) | −14.4332 | − | 2.84469i | −0.521834 | − | 0.102850i | ||||
\(766\) | − | 15.9928i | − | 0.577845i | ||||||
\(767\) | −34.6772 | + | 15.5661i | −1.25212 | + | 0.562060i | ||||
\(768\) | −1.68715 | − | 0.391831i | −0.0608797 | − | 0.0141390i | ||||
\(769\) | −5.40679 | − | 20.1784i | −0.194974 | − | 0.727653i | −0.992274 | − | 0.124069i | \(-0.960406\pi\) |
0.797300 | − | 0.603584i | \(-0.206261\pi\) | |||||||
\(770\) | 5.00321 | + | 2.88861i | 0.180303 | + | 0.104098i | ||||
\(771\) | −8.08960 | − | 26.5840i | −0.291340 | − | 0.957400i | ||||
\(772\) | 6.90595 | − | 6.90595i | 0.248551 | − | 0.248551i | ||||
\(773\) | −3.90727 | + | 14.5821i | −0.140535 | + | 0.524482i | 0.859379 | + | 0.511339i | \(0.170850\pi\) |
−0.999914 | + | 0.0131432i | \(0.995816\pi\) | |||||||
\(774\) | −14.5763 | − | 12.7380i | −0.523933 | − | 0.457857i | ||||
\(775\) | −6.40479 | − | 6.40479i | −0.230067 | − | 0.230067i | ||||
\(776\) | 10.4712 | − | 6.04558i | 0.375896 | − | 0.217024i | ||||
\(777\) | 10.9556 | + | 10.2430i | 0.393030 | + | 0.367467i | ||||
\(778\) | −10.1110 | + | 2.70924i | −0.362498 | + | 0.0971310i | ||||
\(779\) | 0.612161 | 0.0219329 | ||||||||
\(780\) | −5.78496 | + | 16.8963i | −0.207135 | + | 0.604986i | ||||
\(781\) | 3.40655 | 0.121896 | ||||||||
\(782\) | 0.627890 | − | 0.168243i | 0.0224533 | − | 0.00601634i | ||||
\(783\) | 3.17916 | + | 8.37999i | 0.113614 | + | 0.299477i | ||||
\(784\) | −0.866025 | + | 0.500000i | −0.0309295 | + | 0.0178571i | ||||
\(785\) | −0.937566 | − | 0.937566i | −0.0334632 | − | 0.0334632i | ||||
\(786\) | 18.7543 | + | 10.0033i | 0.668943 | + | 0.356805i | ||||
\(787\) | 7.37248 | − | 27.5145i | 0.262800 | − | 0.980785i | −0.700782 | − | 0.713375i | \(-0.747166\pi\) |
0.963583 | − | 0.267410i | \(-0.0861677\pi\) | |||||||
\(788\) | −12.5017 | + | 12.5017i | −0.445354 | + | 0.445354i | ||||
\(789\) | −30.4218 | + | 9.25745i | −1.08305 | + | 0.329574i | ||||
\(790\) | −8.52412 | − | 4.92140i | −0.303274 | − | 0.175096i | ||||
\(791\) | 4.60915 | + | 17.2016i | 0.163882 | + | 0.611617i | ||||
\(792\) | 2.67098 | − | 5.44020i | 0.0949090 | − | 0.193309i | ||||
\(793\) | 40.0579 | + | 15.2368i | 1.42250 | + | 0.541076i | ||||
\(794\) | 16.4999i | 0.585559i | ||||||||
\(795\) | −0.927227 | − | 27.5854i | −0.0328854 | − | 0.978352i | ||||
\(796\) | −5.89437 | + | 10.2093i | −0.208920 | + | 0.361861i | ||||
\(797\) | −7.83870 | − | 13.5770i | −0.277661 | − | 0.480923i | 0.693142 | − | 0.720801i | \(-0.256226\pi\) |
−0.970803 | + | 0.239878i | \(0.922893\pi\) | |||||||
\(798\) | −0.276717 | − | 0.444129i | −0.00979567 | − | 0.0157220i | ||||
\(799\) | 13.1699 | + | 3.52886i | 0.465917 | + | 0.124842i | ||||
\(800\) | 3.06995 | + | 0.822591i | 0.108539 | + | 0.0290830i | ||||
\(801\) | 47.3909 | − | 16.1796i | 1.67447 | − | 0.571679i | ||||
\(802\) | −10.9733 | − | 19.0063i | −0.387481 | − | 0.671137i | ||||
\(803\) | 12.6148 | − | 21.8495i | 0.445166 | − | 0.771051i | ||||
\(804\) | 1.92306 | − | 0.0646399i | 0.0678212 | − | 0.00227968i | ||||
\(805\) | 1.08413i | 0.0382106i | ||||||||
\(806\) | −1.63838 | − | 10.1441i | −0.0577095 | − | 0.357309i | ||||
\(807\) | 6.67810 | − | 28.7546i | 0.235080 | − | 1.01221i | ||||
\(808\) | 2.61379 | + | 9.75481i | 0.0919530 | + | 0.343173i | ||||
\(809\) | 29.8331 | + | 17.2241i | 1.04888 | + | 0.605569i | 0.922334 | − | 0.386392i | \(-0.126279\pi\) |
0.126542 | + | 0.991961i | \(0.459612\pi\) | |||||||
\(810\) | −23.8130 | − | 9.76613i | −0.836705 | − | 0.343147i | ||||
\(811\) | 8.41121 | − | 8.41121i | 0.295358 | − | 0.295358i | −0.543835 | − | 0.839192i | \(-0.683028\pi\) |
0.839192 | + | 0.543835i | \(0.183028\pi\) | |||||||
\(812\) | −0.446434 | + | 1.66611i | −0.0156667 | + | 0.0584691i | ||||
\(813\) | 5.22683 | − | 9.79934i | 0.183313 | − | 0.343678i | ||||
\(814\) | −12.3695 | − | 12.3695i | −0.433549 | − | 0.433549i | ||||
\(815\) | 43.4442 | − | 25.0825i | 1.52179 | − | 0.878603i | ||||
\(816\) | −2.02833 | + | 2.16943i | −0.0710058 | + | 0.0759453i | ||||
\(817\) | 1.88301 | − | 0.504550i | 0.0658781 | − | 0.0176520i | ||||
\(818\) | 26.6934 | 0.933313 | ||||||||
\(819\) | 9.54832 | − | 5.08228i | 0.333645 | − | 0.177589i | ||||
\(820\) | 5.79457 | 0.202355 | ||||||||
\(821\) | −27.5272 | + | 7.37590i | −0.960707 | + | 0.257421i | −0.704899 | − | 0.709307i | \(-0.749008\pi\) |
−0.255807 | + | 0.966728i | \(0.582341\pi\) | |||||||
\(822\) | −9.03678 | + | 9.66542i | −0.315194 | + | 0.337120i | ||||
\(823\) | 46.6694 | − | 26.9446i | 1.62679 | − | 0.939229i | 0.641751 | − | 0.766913i | \(-0.278208\pi\) |
0.985042 | − | 0.172316i | \(-0.0551252\pi\) | |||||||
\(824\) | 7.68330 | + | 7.68330i | 0.267660 | + | 0.267660i | ||||
\(825\) | −5.23373 | + | 9.81227i | −0.182215 | + | 0.341619i | ||||
\(826\) | 2.72854 | − | 10.1830i | 0.0949380 | − | 0.354313i | ||||
\(827\) | −12.1106 | + | 12.1106i | −0.421127 | + | 0.421127i | −0.885592 | − | 0.464464i | \(-0.846247\pi\) |
0.464464 | + | 0.885592i | \(0.346247\pi\) | |||||||
\(828\) | 1.13473 | − | 0.0763696i | 0.0394345 | − | 0.00265403i | ||||
\(829\) | −38.1318 | − | 22.0154i | −1.32437 | − | 0.764627i | −0.339950 | − | 0.940444i | \(-0.610410\pi\) |
−0.984423 | + | 0.175816i | \(0.943743\pi\) | |||||||
\(830\) | 11.7220 | + | 43.7473i | 0.406878 | + | 1.51849i | ||||
\(831\) | 0.583057 | − | 2.51053i | 0.0202260 | − | 0.0870894i | ||||
\(832\) | 2.27758 | + | 2.79511i | 0.0789609 | + | 0.0969029i | ||||
\(833\) | 1.71470i | 0.0594108i | ||||||||
\(834\) | 21.4357 | − | 0.720517i | 0.742256 | − | 0.0249495i | ||||
\(835\) | 15.4543 | − | 26.7676i | 0.534817 | − | 0.926331i | ||||
\(836\) | 0.305164 | + | 0.528559i | 0.0105543 | + | 0.0182806i | ||||
\(837\) | 14.7334 | − | 1.49020i | 0.509262 | − | 0.0515087i | ||||
\(838\) | 26.1070 | + | 6.99536i | 0.901852 | + | 0.241651i | ||||
\(839\) | 29.6061 | + | 7.93294i | 1.02212 | + | 0.273876i | 0.730684 | − | 0.682716i | \(-0.239201\pi\) |
0.291433 | + | 0.956591i | \(0.405868\pi\) | |||||||
\(840\) | −2.61934 | − | 4.20402i | −0.0903757 | − | 0.145053i | ||||
\(841\) | −13.0124 | − | 22.5381i | −0.448703 | − | 0.777176i | ||||
\(842\) | −7.02945 | + | 12.1754i | −0.242251 | + | 0.419591i | ||||
\(843\) | 0.0546767 | + | 1.62665i | 0.00188316 | + | 0.0560248i | ||||
\(844\) | − | 12.3891i | − | 0.426451i | ||||||
\(845\) | 31.0551 | − | 20.4378i | 1.06833 | − | 0.703080i | ||||
\(846\) | 21.4130 | + | 10.5131i | 0.736193 | + | 0.361449i | ||||
\(847\) | −1.79074 | − | 6.68315i | −0.0615307 | − | 0.229636i | ||||
\(848\) | −4.82574 | − | 2.78614i | −0.165716 | − | 0.0956764i | ||||
\(849\) | −9.06823 | + | 2.75949i | −0.311221 | + | 0.0947055i | ||||
\(850\) | 3.85354 | − | 3.85354i | 0.132175 | − | 0.132175i | ||||
\(851\) | 0.849621 | − | 3.17083i | 0.0291246 | − | 0.108695i | ||||
\(852\) | −2.57703 | − | 1.37455i | −0.0882876 | − | 0.0470914i | ||||
\(853\) | 12.9750 | + | 12.9750i | 0.444257 | + | 0.444257i | 0.893440 | − | 0.449183i | \(-0.148285\pi\) |
−0.449183 | + | 0.893440i | \(0.648285\pi\) | |||||||
\(854\) | −10.2941 | + | 5.94332i | −0.352258 | + | 0.203376i | ||||
\(855\) | 2.15260 | − | 1.44378i | 0.0736173 | − | 0.0493762i | ||||
\(856\) | −8.48102 | + | 2.27248i | −0.289875 | + | 0.0776718i | ||||
\(857\) | −50.6944 | −1.73169 | −0.865843 | − | 0.500316i | \(-0.833217\pi\) | ||||
−0.865843 | + | 0.500316i | \(0.833217\pi\) | |||||||
\(858\) | −11.3295 | + | 5.55023i | −0.386783 | + | 0.189482i | ||||
\(859\) | 20.9335 | 0.714243 | 0.357122 | − | 0.934058i | \(-0.383758\pi\) | ||||
0.357122 | + | 0.934058i | \(0.383758\pi\) | |||||||
\(860\) | 17.8241 | − | 4.77596i | 0.607797 | − | 0.162859i | ||||
\(861\) | −2.56360 | − | 2.39686i | −0.0873671 | − | 0.0816848i | ||||
\(862\) | −1.41373 | + | 0.816219i | −0.0481519 | + | 0.0278005i | ||||
\(863\) | 34.9024 | + | 34.9024i | 1.18809 | + | 1.18809i | 0.977594 | + | 0.210497i | \(0.0675084\pi\) |
0.210497 | + | 0.977594i | \(0.432492\pi\) | |||||||
\(864\) | −4.21571 | + | 3.03773i | −0.143421 | + | 0.103346i | ||||
\(865\) | −16.5780 | + | 61.8698i | −0.563668 | + | 2.10364i | ||||
\(866\) | −8.77698 | + | 8.77698i | −0.298254 | + | 0.298254i | ||||
\(867\) | −7.08950 | − | 23.2975i | −0.240772 | − | 0.791225i | ||||
\(868\) | 2.46810 | + | 1.42496i | 0.0837727 | + | 0.0483662i | ||||
\(869\) | −1.79959 | − | 6.71615i | −0.0610468 | − | 0.227830i | ||||
\(870\) | −8.32231 | − | 1.93281i | −0.282153 | − | 0.0655284i | ||||
\(871\) | −3.24763 | − | 2.34444i | −0.110042 | − | 0.0794385i | ||||
\(872\) | − | 3.65347i | − | 0.123722i | ||||||
\(873\) | 7.01430 | − | 35.5888i | 0.237398 | − | 1.20450i | ||||
\(874\) | −0.0572659 | + | 0.0991875i | −0.00193705 | + | 0.00335507i | ||||
\(875\) | −2.60489 | − | 4.51180i | −0.0880613 | − | 0.152527i | ||||
\(876\) | −18.3593 | + | 11.4389i | −0.620305 | + | 0.386484i | ||||
\(877\) | 4.29208 | + | 1.15006i | 0.144933 | + | 0.0388347i | 0.330556 | − | 0.943786i | \(-0.392764\pi\) |
−0.185623 | + | 0.982621i | \(0.559430\pi\) | |||||||
\(878\) | 9.86107 | + | 2.64227i | 0.332795 | + | 0.0891721i | ||||
\(879\) | 14.4542 | − | 9.00578i | 0.487529 | − | 0.303757i | ||||
\(880\) | 2.88861 | + | 5.00321i | 0.0973749 | + | 0.168658i | ||||
\(881\) | −19.9207 | + | 34.5036i | −0.671144 | + | 1.16246i | 0.306435 | + | 0.951891i | \(0.400864\pi\) |
−0.977580 | + | 0.210565i | \(0.932470\pi\) | |||||||
\(882\) | −0.580118 | + | 2.94338i | −0.0195336 | + | 0.0991086i | ||||
\(883\) | − | 17.5128i | − | 0.589352i | −0.955597 | − | 0.294676i | \(-0.904788\pi\) | ||
0.955597 | − | 0.294676i | \(-0.0952116\pi\) | |||||||
\(884\) | 6.10334 | − | 0.985759i | 0.205277 | − | 0.0331547i | ||||
\(885\) | 50.8648 | + | 11.8131i | 1.70980 | + | 0.397092i | ||||
\(886\) | 5.87184 | + | 21.9140i | 0.197268 | + | 0.736215i | ||||
\(887\) | −13.7745 | − | 7.95273i | −0.462503 | − | 0.267026i | 0.250593 | − | 0.968093i | \(-0.419374\pi\) |
−0.713096 | + | 0.701066i | \(0.752708\pi\) | |||||||
\(888\) | 4.36630 | + | 14.3485i | 0.146523 | + | 0.481505i | ||||
\(889\) | 4.47021 | − | 4.47021i | 0.149926 | − | 0.149926i | ||||
\(890\) | −12.3549 | + | 46.1093i | −0.414139 | + | 1.54559i | ||||
\(891\) | −7.01655 | − | 16.7731i | −0.235063 | − | 0.561920i | ||||
\(892\) | 19.8347 | + | 19.8347i | 0.664116 | + | 0.664116i | ||||
\(893\) | −2.08044 | + | 1.20114i | −0.0696193 | + | 0.0401947i | ||||
\(894\) | −11.9627 | − | 11.1846i | −0.400091 | − | 0.374069i | ||||
\(895\) | 52.0059 | − | 13.9349i | 1.73837 | − | 0.465794i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −1.96502 | − | 1.32045i | −0.0656103 | − | 0.0440885i | ||||
\(898\) | −34.0175 | −1.13518 | ||||||||
\(899\) | 4.74828 | − | 1.27230i | 0.158364 | − | 0.0424335i | ||||
\(900\) | 7.91856 | − | 5.31109i | 0.263952 | − | 0.177036i | ||||
\(901\) | −8.27468 | + | 4.77739i | −0.275670 | + | 0.159158i | ||||
\(902\) | 2.89444 | + | 2.89444i | 0.0963743 | + | 0.0963743i | ||||
\(903\) | −9.86115 | − | 5.25980i | −0.328158 | − | 0.175035i | ||||
\(904\) | −4.60915 | + | 17.2016i | −0.153298 | + | 0.572116i | ||||
\(905\) | 31.3368 | − | 31.3368i | 1.04167 | − | 1.04167i | ||||
\(906\) | −16.4277 | + | 4.99899i | −0.545773 | + | 0.166080i | ||||
\(907\) | 4.37761 | + | 2.52741i | 0.145356 | + | 0.0839214i | 0.570914 | − | 0.821010i | \(-0.306589\pi\) |
−0.425558 | + | 0.904931i | \(0.639922\pi\) | |||||||
\(908\) | −5.81764 | − | 21.7117i | −0.193065 | − | 0.720530i | ||||
\(909\) | 27.1958 | + | 13.3523i | 0.902027 | + | 0.442869i | ||||
\(910\) | −1.04652 | + | 10.2578i | −0.0346920 | + | 0.340042i | ||||
\(911\) | − | 32.8164i | − | 1.08725i | −0.839327 | − | 0.543627i | \(-0.817051\pi\) | ||
0.839327 | − | 0.543627i | \(-0.182949\pi\) | |||||||
\(912\) | −0.0175791 | − | 0.522986i | −0.000582103 | − | 0.0173178i | ||||
\(913\) | −15.9969 | + | 27.7074i | −0.529420 | + | 0.916981i | ||||
\(914\) | 0.314084 | + | 0.544009i | 0.0103890 | + | 0.0179942i | ||||
\(915\) | −31.1351 | − | 49.9717i | −1.02929 | − | 1.65201i | ||||
\(916\) | −20.1416 | − | 5.39693i | −0.665497 | − | 0.178319i | ||||
\(917\) | 11.8536 | + | 3.17617i | 0.391441 | + | 0.104886i | ||||
\(918\) | 0.896601 | + | 8.86460i | 0.0295922 | + | 0.292576i | ||||
\(919\) | 13.4807 | + | 23.3492i | 0.444687 | + | 0.770220i | 0.998030 | − | 0.0627330i | \(-0.0199816\pi\) |
−0.553344 | + | 0.832953i | \(0.686648\pi\) | |||||||
\(920\) | −0.542066 | + | 0.938886i | −0.0178714 | + | 0.0309541i | ||||
\(921\) | −42.4605 | + | 1.42722i | −1.39912 | + | 0.0470286i | ||||
\(922\) | − | 28.1562i | − | 0.927275i | ||||||
\(923\) | 2.48985 | + | 5.54672i | 0.0819544 | + | 0.182572i | ||||
\(924\) | 0.791565 | − | 3.40833i | 0.0260406 | − | 0.112126i | ||||
\(925\) | −7.12297 | − | 26.5833i | −0.234202 | − | 0.874054i | ||||
\(926\) | 27.8102 | + | 16.0563i | 0.913901 | + | 0.527641i | ||||
\(927\) | 32.5239 | − | 2.18893i | 1.06822 | − | 0.0718938i | ||||
\(928\) | −1.21968 | + | 1.21968i | −0.0400379 | + | 0.0400379i | ||||
\(929\) | −1.01336 | + | 3.78193i | −0.0332474 | + | 0.124081i | −0.980555 | − | 0.196244i | \(-0.937126\pi\) |
0.947308 | + | 0.320325i | \(0.103792\pi\) | |||||||
\(930\) | −6.64350 | + | 12.4553i | −0.217849 | + | 0.408427i | ||||
\(931\) | −0.213629 | − | 0.213629i | −0.00700139 | − | 0.00700139i | ||||
\(932\) | 19.2597 | − | 11.1196i | 0.630871 | − | 0.364233i | ||||
\(933\) | −10.9505 | + | 11.7123i | −0.358503 | + | 0.383442i | ||||
\(934\) | −15.4872 | + | 4.14977i | −0.506755 | + | 0.135785i | ||||
\(935\) | 9.90617 | 0.323967 | ||||||||
\(936\) | 10.8102 | + | 0.372777i | 0.353343 | + | 0.0121846i | ||||
\(937\) | −35.8855 | −1.17233 | −0.586164 | − | 0.810193i | \(-0.699362\pi\) | ||||
−0.586164 | + | 0.810193i | \(0.699362\pi\) | |||||||
\(938\) | 1.07305 | − | 0.287524i | 0.0350365 | − | 0.00938799i | ||||
\(939\) | −6.47322 | + | 6.92353i | −0.211246 | + | 0.225941i | ||||
\(940\) | −19.6930 | + | 11.3697i | −0.642314 | + | 0.370840i | ||||
\(941\) | 9.18971 | + | 9.18971i | 0.299576 | + | 0.299576i | 0.840848 | − | 0.541272i | \(-0.182057\pi\) |
−0.541272 | + | 0.840848i | \(0.682057\pi\) | |||||||
\(942\) | −0.377939 | + | 0.708566i | −0.0123139 | + | 0.0230863i | ||||
\(943\) | −0.198811 | + | 0.741971i | −0.00647416 | + | 0.0241619i | ||||
\(944\) | 7.45450 | − | 7.45450i | 0.242623 | − | 0.242623i | ||||
\(945\) | −14.6676 | − | 2.38208i | −0.477137 | − | 0.0774889i | ||||
\(946\) | 11.2889 | + | 6.51767i | 0.367035 | + | 0.211908i | ||||
\(947\) | −15.4466 | − | 57.6474i | −0.501946 | − | 1.87329i | −0.487004 | − | 0.873400i | \(-0.661910\pi\) |
−0.0149421 | − | 0.999888i | \(-0.504756\pi\) | |||||||
\(948\) | −1.34861 | + | 5.80687i | −0.0438009 | + | 0.188598i | ||||
\(949\) | 44.7966 | + | 4.57026i | 1.45416 | + | 0.148357i | ||||
\(950\) | 0.960201i | 0.0311530i | ||||||||
\(951\) | 7.15158 | − | 0.240386i | 0.231906 | − | 0.00779505i | ||||
\(952\) | −0.857349 | + | 1.48497i | −0.0277868 | + | 0.0481282i | ||||
\(953\) | −1.01543 | − | 1.75878i | −0.0328930 | − | 0.0569724i | 0.849110 | − | 0.528216i | \(-0.177139\pi\) |
−0.882003 | + | 0.471243i | \(0.843805\pi\) | |||||||
\(954\) | −15.8202 | + | 5.40116i | −0.512199 | + | 0.174869i | ||||
\(955\) | 6.41127 | + | 1.71790i | 0.207464 | + | 0.0555898i | ||||
\(956\) | 24.7428 | + | 6.62982i | 0.800240 | + | 0.214424i | ||||
\(957\) | −3.19161 | − | 5.12252i | −0.103170 | − | 0.165588i | ||||
\(958\) | 4.08383 | + | 7.07340i | 0.131942 | + | 0.228531i | ||||
\(959\) | −3.81973 | + | 6.61596i | −0.123345 | + | 0.213641i | ||||
\(960\) | −0.166400 | − | 4.95046i | −0.00537053 | − | 0.159775i | ||||
\(961\) | 22.8780i | 0.737999i | ||||||||
\(962\) | 11.0997 | − | 29.1814i | 0.357870 | − | 0.940847i | ||||
\(963\) | −11.6088 | + | 23.6445i | −0.374087 | + | 0.761934i | ||||
\(964\) | −7.42683 | − | 27.7173i | −0.239202 | − | 0.892714i | ||||
\(965\) | 24.1880 | + | 13.9649i | 0.778638 | + | 0.449547i | ||||
\(966\) | 0.628177 | − | 0.191156i | 0.0202113 | − | 0.00615035i | ||||
\(967\) | 2.82218 | − | 2.82218i | 0.0907551 | − | 0.0907551i | −0.660272 | − | 0.751027i | \(-0.729559\pi\) |
0.751027 | + | 0.660272i | \(0.229559\pi\) | |||||||
\(968\) | 1.79074 | − | 6.68315i | 0.0575567 | − | 0.214805i | ||||
\(969\) | −0.791690 | − | 0.422277i | −0.0254328 | − | 0.0135655i | ||||
\(970\) | 24.4502 | + | 24.4502i | 0.785049 | + | 0.785049i | ||||
\(971\) | 41.2249 | − | 23.8012i | 1.32297 | − | 0.763816i | 0.338768 | − | 0.940870i | \(-0.389990\pi\) |
0.984201 | + | 0.177054i | \(0.0566566\pi\) | |||||||
\(972\) | −1.46002 | + | 15.5199i | −0.0468300 | + | 0.497802i | ||||
\(973\) | 11.9609 | − | 3.20492i | 0.383450 | − | 0.102745i | ||||
\(974\) | 4.61402 | 0.147843 | ||||||||
\(975\) | −19.8022 | − | 1.35003i | −0.634178 | − | 0.0432355i | ||||
\(976\) | −11.8866 | −0.380482 | ||||||||
\(977\) | 23.6885 | − | 6.34730i | 0.757861 | − | 0.203068i | 0.140859 | − | 0.990030i | \(-0.455014\pi\) |
0.617002 | + | 0.786962i | \(0.288347\pi\) | |||||||
\(978\) | −22.1937 | − | 20.7502i | −0.709676 | − | 0.663519i | ||||
\(979\) | −29.2034 | + | 16.8606i | −0.933344 | + | 0.538867i | ||||
\(980\) | −2.02216 | − | 2.02216i | −0.0645955 | − | 0.0645955i | ||||
\(981\) | −8.25311 | − | 7.21226i | −0.263502 | − | 0.230270i | ||||
\(982\) | 2.65162 | − | 9.89599i | 0.0846167 | − | 0.315794i | ||||
\(983\) | −25.4506 | + | 25.4506i | −0.811750 | + | 0.811750i | −0.984896 | − | 0.173146i | \(-0.944607\pi\) |
0.173146 | + | 0.984896i | \(0.444607\pi\) | |||||||
\(984\) | −1.02171 | − | 3.35754i | −0.0325709 | − | 0.107034i | ||||
\(985\) | −43.7869 | − | 25.2804i | −1.39517 | − | 0.805500i | ||||
\(986\) | 0.765499 | + | 2.85688i | 0.0243784 | + | 0.0909816i | ||||
\(987\) | 13.4154 | + | 3.11565i | 0.427017 | + | 0.0991723i | ||||
\(988\) | −0.637582 | + | 0.883207i | −0.0202842 | + | 0.0280986i | ||||
\(989\) | 2.44617i | 0.0777836i | ||||||||
\(990\) | 17.0045 | + | 3.35147i | 0.540439 | + | 0.106517i | ||||
\(991\) | −4.92922 | + | 8.53765i | −0.156582 | + | 0.271207i | −0.933634 | − | 0.358229i | \(-0.883381\pi\) |
0.777052 | + | 0.629436i | \(0.216714\pi\) | |||||||
\(992\) | 1.42496 | + | 2.46810i | 0.0452424 | + | 0.0783622i | ||||
\(993\) | −19.1790 | + | 11.9496i | −0.608628 | + | 0.379209i | ||||
\(994\) | −1.62881 | − | 0.436438i | −0.0516627 | − | 0.0138430i | ||||
\(995\) | −32.5643 | − | 8.72557i | −1.03236 | − | 0.276619i | ||||
\(996\) | 23.2816 | − | 14.5057i | 0.737705 | − | 0.459630i | ||||
\(997\) | 0.706918 | + | 1.22442i | 0.0223883 | + | 0.0387777i | 0.877002 | − | 0.480486i | \(-0.159540\pi\) |
−0.854614 | + | 0.519264i | \(0.826206\pi\) | |||||||
\(998\) | 13.8170 | − | 23.9317i | 0.437369 | − | 0.757545i | ||||
\(999\) | 41.0325 | + | 18.4618i | 1.29821 | + | 0.584107i |
(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 | 546.2.bu.b.71.13 | yes | 56 | |
3.2 | odd | 2 | 546.2.bu.a.71.4 | ✓ | 56 | ||
13.11 | odd | 12 | 546.2.bu.a.323.4 | yes | 56 | ||
39.11 | even | 12 | inner | 546.2.bu.b.323.13 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bu.a.71.4 | ✓ | 56 | 3.2 | odd | 2 | ||
546.2.bu.a.323.4 | yes | 56 | 13.11 | odd | 12 | ||
546.2.bu.b.71.13 | yes | 56 | 1.1 | even | 1 | trivial | |
546.2.bu.b.323.13 | yes | 56 | 39.11 | even | 12 | inner |