Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), 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: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 23.4 | ||
Character | \(\chi\) | \(=\) | 150.23 |
Dual form | 150.2.l.a.137.4 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.987688 | − | 0.156434i | −0.698401 | − | 0.110616i | ||||
\(3\) | 1.10553 | + | 1.33334i | 0.638280 | + | 0.769805i | ||||
\(4\) | 0.951057 | + | 0.309017i | 0.475528 | + | 0.154508i | ||||
\(5\) | −0.334535 | − | 2.21090i | −0.149609 | − | 0.988745i | ||||
\(6\) | −0.883341 | − | 1.48987i | −0.360623 | − | 0.608236i | ||||
\(7\) | 2.78015 | − | 2.78015i | 1.05080 | − | 1.05080i | 0.0521581 | − | 0.998639i | \(-0.483390\pi\) |
0.998639 | − | 0.0521581i | \(-0.0166100\pi\) | |||||||
\(8\) | −0.891007 | − | 0.453990i | −0.315018 | − | 0.160510i | ||||
\(9\) | −0.555594 | + | 2.94810i | −0.185198 | + | 0.982701i | ||||
\(10\) | −0.0154450 | + | 2.23601i | −0.00488414 | + | 0.707090i | ||||
\(11\) | 2.08133 | + | 2.86470i | 0.627544 | + | 0.863740i | 0.997875 | − | 0.0651600i | \(-0.0207558\pi\) |
−0.370331 | + | 0.928900i | \(0.620756\pi\) | |||||||
\(12\) | 0.639399 | + | 1.60971i | 0.184579 | + | 0.464683i | ||||
\(13\) | 0.331962 | + | 2.09592i | 0.0920696 | + | 0.581304i | 0.989989 | + | 0.141144i | \(0.0450782\pi\) |
−0.897919 | + | 0.440160i | \(0.854922\pi\) | |||||||
\(14\) | −3.18083 | + | 2.31101i | −0.850113 | + | 0.617643i | ||||
\(15\) | 2.57805 | − | 2.89027i | 0.665649 | − | 0.746265i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | 0.476073 | − | 0.934346i | 0.115465 | − | 0.226612i | −0.826040 | − | 0.563611i | \(-0.809412\pi\) |
0.941505 | + | 0.336999i | \(0.109412\pi\) | |||||||
\(18\) | 1.00994 | − | 2.82489i | 0.238045 | − | 0.665834i | ||||
\(19\) | −4.71987 | + | 1.53358i | −1.08281 | + | 0.351827i | −0.795465 | − | 0.605999i | \(-0.792774\pi\) |
−0.287348 | + | 0.957826i | \(0.592774\pi\) | |||||||
\(20\) | 0.365045 | − | 2.20607i | 0.0816265 | − | 0.493292i | ||||
\(21\) | 6.78043 | + | 0.633339i | 1.47961 | + | 0.138206i | ||||
\(22\) | −1.60756 | − | 3.15502i | −0.342734 | − | 0.672653i | ||||
\(23\) | 1.22065 | − | 7.70688i | 0.254523 | − | 1.60700i | −0.447124 | − | 0.894472i | \(-0.647552\pi\) |
0.701647 | − | 0.712524i | \(-0.252448\pi\) | |||||||
\(24\) | −0.379713 | − | 1.68992i | −0.0775086 | − | 0.344953i | ||||
\(25\) | −4.77617 | + | 1.47925i | −0.955235 | + | 0.295850i | ||||
\(26\) | − | 2.12205i | − | 0.416168i | ||||||
\(27\) | −4.54505 | + | 2.51843i | −0.874696 | + | 0.484672i | ||||
\(28\) | 3.50319 | − | 1.78496i | 0.662041 | − | 0.337327i | ||||
\(29\) | −0.858514 | + | 2.64223i | −0.159422 | + | 0.490650i | −0.998582 | − | 0.0532341i | \(-0.983047\pi\) |
0.839160 | + | 0.543885i | \(0.183047\pi\) | |||||||
\(30\) | −2.99844 | + | 2.45139i | −0.547438 | + | 0.447561i | ||||
\(31\) | 0.458925 | + | 1.41243i | 0.0824253 | + | 0.253679i | 0.983773 | − | 0.179417i | \(-0.0574211\pi\) |
−0.901348 | + | 0.433096i | \(0.857421\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | −1.51865 | + | 5.94214i | −0.264362 | + | 1.03439i | ||||
\(34\) | −0.616376 | + | 0.848368i | −0.105708 | + | 0.145494i | ||||
\(35\) | −7.07669 | − | 5.21658i | −1.19618 | − | 0.881762i | ||||
\(36\) | −1.43942 | + | 2.63213i | −0.239903 | + | 0.438688i | ||||
\(37\) | −1.07161 | + | 0.169727i | −0.176172 | + | 0.0279030i | −0.243897 | − | 0.969801i | \(-0.578426\pi\) |
0.0677249 | + | 0.997704i | \(0.478426\pi\) | |||||||
\(38\) | 4.90167 | − | 0.776348i | 0.795156 | − | 0.125940i | ||||
\(39\) | −2.42758 | + | 2.75973i | −0.388725 | + | 0.441910i | ||||
\(40\) | −0.705656 | + | 2.12180i | −0.111574 | + | 0.335487i | ||||
\(41\) | −0.691749 | + | 0.952111i | −0.108033 | + | 0.148695i | −0.859610 | − | 0.510951i | \(-0.829293\pi\) |
0.751577 | + | 0.659645i | \(0.229293\pi\) | |||||||
\(42\) | −6.59787 | − | 1.68623i | −1.01807 | − | 0.260192i | ||||
\(43\) | −8.25027 | − | 8.25027i | −1.25815 | − | 1.25815i | −0.951973 | − | 0.306181i | \(-0.900949\pi\) |
−0.306181 | − | 0.951973i | \(-0.599051\pi\) | |||||||
\(44\) | 1.09422 | + | 3.36766i | 0.164960 | + | 0.507694i | ||||
\(45\) | 6.70383 | + | 0.242121i | 0.999348 | + | 0.0360933i | ||||
\(46\) | −2.41124 | + | 7.42105i | −0.355519 | + | 1.09417i | ||||
\(47\) | −10.2948 | + | 5.24545i | −1.50165 | + | 0.765127i | −0.995266 | − | 0.0971836i | \(-0.969017\pi\) |
−0.506380 | + | 0.862311i | \(0.669017\pi\) | |||||||
\(48\) | 0.110677 | + | 1.72851i | 0.0159748 | + | 0.249489i | ||||
\(49\) | − | 8.45844i | − | 1.20835i | ||||||
\(50\) | 4.94878 | − | 0.713878i | 0.699863 | − | 0.100958i | ||||
\(51\) | 1.77212 | − | 0.398183i | 0.248146 | − | 0.0557567i | ||||
\(52\) | −0.331962 | + | 2.09592i | −0.0460348 | + | 0.290652i | ||||
\(53\) | 1.93475 | + | 3.79716i | 0.265759 | + | 0.521581i | 0.984866 | − | 0.173318i | \(-0.0554490\pi\) |
−0.719107 | + | 0.694899i | \(0.755449\pi\) | |||||||
\(54\) | 4.88307 | − | 1.77642i | 0.664501 | − | 0.241740i | ||||
\(55\) | 5.63730 | − | 5.55995i | 0.760133 | − | 0.749704i | ||||
\(56\) | −3.73929 | + | 1.21497i | −0.499684 | + | 0.162357i | ||||
\(57\) | −7.26276 | − | 4.59778i | −0.961976 | − | 0.608990i | ||||
\(58\) | 1.26128 | − | 2.47540i | 0.165614 | − | 0.325036i | ||||
\(59\) | 5.11067 | + | 3.71312i | 0.665353 | + | 0.483407i | 0.868466 | − | 0.495748i | \(-0.165106\pi\) |
−0.203113 | + | 0.979155i | \(0.565106\pi\) | |||||||
\(60\) | 3.34501 | − | 1.95215i | 0.431839 | − | 0.252022i | ||||
\(61\) | 1.09310 | − | 0.794185i | 0.139957 | − | 0.101685i | −0.515604 | − | 0.856827i | \(-0.672432\pi\) |
0.655561 | + | 0.755142i | \(0.272432\pi\) | |||||||
\(62\) | −0.232323 | − | 1.46683i | −0.0295050 | − | 0.186287i | ||||
\(63\) | 6.65153 | + | 9.74080i | 0.838014 | + | 1.22723i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | 4.52283 | − | 1.43509i | 0.560988 | − | 0.178001i | ||||
\(66\) | 2.42950 | − | 5.63141i | 0.299051 | − | 0.693179i | ||||
\(67\) | 8.29150 | + | 4.22473i | 1.01297 | + | 0.516133i | 0.879993 | − | 0.474987i | \(-0.157547\pi\) |
0.132974 | + | 0.991119i | \(0.457547\pi\) | |||||||
\(68\) | 0.741501 | − | 0.741501i | 0.0899202 | − | 0.0899202i | ||||
\(69\) | 11.6254 | − | 6.89267i | 1.39953 | − | 0.829780i | ||||
\(70\) | 6.17351 | + | 6.25939i | 0.737876 | + | 0.748140i | ||||
\(71\) | −2.47790 | − | 0.805120i | −0.294073 | − | 0.0955501i | 0.158265 | − | 0.987397i | \(-0.449410\pi\) |
−0.452338 | + | 0.891847i | \(0.649410\pi\) | |||||||
\(72\) | 1.83345 | − | 2.37455i | 0.216074 | − | 0.279843i | ||||
\(73\) | 8.82492 | + | 1.39773i | 1.03288 | + | 0.163592i | 0.649785 | − | 0.760118i | \(-0.274859\pi\) |
0.383093 | + | 0.923710i | \(0.374859\pi\) | |||||||
\(74\) | 1.08497 | 0.126126 | ||||||||
\(75\) | −7.25256 | − | 4.73291i | −0.837453 | − | 0.546509i | ||||
\(76\) | −4.96277 | −0.569269 | ||||||||
\(77\) | 13.7507 | + | 2.17789i | 1.56704 | + | 0.248194i | ||||
\(78\) | 2.82941 | − | 2.34599i | 0.320368 | − | 0.265632i | ||||
\(79\) | −14.4405 | − | 4.69199i | −1.62468 | − | 0.527891i | −0.651641 | − | 0.758528i | \(-0.725919\pi\) |
−0.973040 | + | 0.230637i | \(0.925919\pi\) | |||||||
\(80\) | 1.02889 | − | 1.98529i | 0.115034 | − | 0.221962i | ||||
\(81\) | −8.38263 | − | 3.27590i | −0.931403 | − | 0.363989i | ||||
\(82\) | 0.832175 | − | 0.832175i | 0.0918984 | − | 0.0918984i | ||||
\(83\) | −9.56823 | − | 4.87526i | −1.05025 | − | 0.535129i | −0.158360 | − | 0.987381i | \(-0.550621\pi\) |
−0.891890 | + | 0.452252i | \(0.850621\pi\) | |||||||
\(84\) | 6.25286 | + | 2.69761i | 0.682243 | + | 0.294333i | ||||
\(85\) | −2.22501 | − | 0.739979i | −0.241336 | − | 0.0802620i | ||||
\(86\) | 6.85807 | + | 9.43932i | 0.739525 | + | 1.01787i | ||||
\(87\) | −4.47211 | + | 1.77638i | −0.479461 | + | 0.190448i | ||||
\(88\) | −0.553929 | − | 3.49737i | −0.0590490 | − | 0.372821i | ||||
\(89\) | −2.14121 | + | 1.55568i | −0.226968 | + | 0.164902i | −0.695458 | − | 0.718567i | \(-0.744798\pi\) |
0.468490 | + | 0.883469i | \(0.344798\pi\) | |||||||
\(90\) | −6.58342 | − | 1.28785i | −0.693954 | − | 0.135751i | ||||
\(91\) | 6.74988 | + | 4.90407i | 0.707579 | + | 0.514086i | ||||
\(92\) | 3.54247 | − | 6.95248i | 0.369328 | − | 0.724846i | ||||
\(93\) | −1.37589 | + | 2.17339i | −0.142673 | + | 0.225370i | ||||
\(94\) | 10.9886 | − | 3.57041i | 1.13339 | − | 0.368260i | ||||
\(95\) | 4.96956 | + | 9.92214i | 0.509866 | + | 1.01799i | ||||
\(96\) | 0.161084 | − | 1.72454i | 0.0164406 | − | 0.176011i | ||||
\(97\) | 7.23583 | + | 14.2011i | 0.734687 | + | 1.44190i | 0.890909 | + | 0.454182i | \(0.150068\pi\) |
−0.156222 | + | 0.987722i | \(0.549932\pi\) | |||||||
\(98\) | −1.32319 | + | 8.35430i | −0.133663 | + | 0.843912i | ||||
\(99\) | −9.60181 | + | 4.54436i | −0.965018 | + | 0.456725i | ||||
\(100\) | −4.99952 | − | 0.0690705i | −0.499952 | − | 0.00690705i | ||||
\(101\) | − | 2.78509i | − | 0.277127i | −0.990354 | − | 0.138564i | \(-0.955751\pi\) | ||
0.990354 | − | 0.138564i | \(-0.0442485\pi\) | |||||||
\(102\) | −1.81259 | + | 0.116060i | −0.179473 | + | 0.0114917i | ||||
\(103\) | 9.98017 | − | 5.08515i | 0.983376 | − | 0.501055i | 0.113081 | − | 0.993586i | \(-0.463928\pi\) |
0.870295 | + | 0.492531i | \(0.163928\pi\) | |||||||
\(104\) | 0.655749 | − | 2.01819i | 0.0643015 | − | 0.197900i | ||||
\(105\) | −0.868039 | − | 15.2027i | −0.0847119 | − | 1.48363i | ||||
\(106\) | −1.31692 | − | 4.05308i | −0.127911 | − | 0.393670i | ||||
\(107\) | 3.58302 | + | 3.58302i | 0.346384 | + | 0.346384i | 0.858761 | − | 0.512377i | \(-0.171235\pi\) |
−0.512377 | + | 0.858761i | \(0.671235\pi\) | |||||||
\(108\) | −5.10084 | + | 0.990669i | −0.490829 | + | 0.0953272i | ||||
\(109\) | −5.92254 | + | 8.15168i | −0.567277 | + | 0.780789i | −0.992229 | − | 0.124427i | \(-0.960291\pi\) |
0.424952 | + | 0.905216i | \(0.360291\pi\) | |||||||
\(110\) | −6.43766 | + | 4.60963i | −0.613807 | + | 0.439511i | ||||
\(111\) | −1.41101 | − | 1.24119i | −0.133927 | − | 0.117808i | ||||
\(112\) | 3.88332 | − | 0.615057i | 0.366939 | − | 0.0581174i | ||||
\(113\) | −3.71655 | + | 0.588643i | −0.349623 | + | 0.0553749i | −0.328776 | − | 0.944408i | \(-0.606636\pi\) |
−0.0208469 | + | 0.999783i | \(0.506636\pi\) | |||||||
\(114\) | 6.45409 | + | 5.67732i | 0.604481 | + | 0.531729i | ||||
\(115\) | −17.4475 | − | 0.120517i | −1.62699 | − | 0.0112382i | ||||
\(116\) | −1.63299 | + | 2.24762i | −0.151619 | + | 0.208686i | ||||
\(117\) | −6.36343 | − | 0.185826i | −0.588300 | − | 0.0171796i | ||||
\(118\) | −4.46689 | − | 4.46689i | −0.411211 | − | 0.411211i | ||||
\(119\) | −1.27407 | − | 3.92117i | −0.116793 | − | 0.359453i | ||||
\(120\) | −3.60921 | + | 1.40484i | −0.329474 | + | 0.128244i | ||||
\(121\) | −0.475402 | + | 1.46314i | −0.0432184 | + | 0.133012i | ||||
\(122\) | −1.20388 | + | 0.613408i | −0.108994 | + | 0.0555354i | ||||
\(123\) | −2.03424 | + | 0.130253i | −0.183421 | + | 0.0117445i | ||||
\(124\) | 1.48511i | 0.133367i | ||||||||
\(125\) | 4.86827 | + | 10.0648i | 0.435431 | + | 0.900222i | ||||
\(126\) | −5.04584 | − | 10.6614i | −0.449519 | − | 0.949793i | ||||
\(127\) | 2.99916 | − | 18.9360i | 0.266133 | − | 1.68030i | −0.386241 | − | 0.922398i | \(-0.626227\pi\) |
0.652373 | − | 0.757898i | \(-0.273773\pi\) | |||||||
\(128\) | −0.453990 | − | 0.891007i | −0.0401275 | − | 0.0787546i | ||||
\(129\) | 1.87948 | − | 20.1214i | 0.165479 | − | 1.77159i | ||||
\(130\) | −4.69164 | + | 0.709899i | −0.411484 | + | 0.0622623i | ||||
\(131\) | 11.4171 | − | 3.70965i | 0.997519 | − | 0.324113i | 0.235645 | − | 0.971839i | \(-0.424280\pi\) |
0.761874 | + | 0.647726i | \(0.224280\pi\) | |||||||
\(132\) | −3.28054 | + | 5.18202i | −0.285534 | + | 0.451037i | ||||
\(133\) | −8.85836 | + | 17.3855i | −0.768118 | + | 1.50752i | ||||
\(134\) | −7.52852 | − | 5.46979i | −0.650365 | − | 0.472518i | ||||
\(135\) | 7.08848 | + | 9.20617i | 0.610079 | + | 0.792341i | ||||
\(136\) | −0.848368 | + | 0.616376i | −0.0727470 | + | 0.0528538i | ||||
\(137\) | 1.31496 | + | 8.30230i | 0.112344 | + | 0.709314i | 0.977989 | + | 0.208655i | \(0.0669087\pi\) |
−0.865645 | + | 0.500658i | \(0.833091\pi\) | |||||||
\(138\) | −12.5605 | + | 4.98920i | −1.06922 | + | 0.424709i | ||||
\(139\) | 1.56608 | + | 2.15552i | 0.132833 | + | 0.182829i | 0.870252 | − | 0.492607i | \(-0.163956\pi\) |
−0.737419 | + | 0.675435i | \(0.763956\pi\) | |||||||
\(140\) | −5.11832 | − | 7.14808i | −0.432577 | − | 0.604123i | ||||
\(141\) | −18.3752 | − | 7.92742i | −1.54747 | − | 0.667609i | ||||
\(142\) | 2.32145 | + | 1.18284i | 0.194812 | + | 0.0992615i | ||||
\(143\) | −5.31327 | + | 5.31327i | −0.444318 | + | 0.444318i | ||||
\(144\) | −2.18234 | + | 2.05850i | −0.181861 | + | 0.171541i | ||||
\(145\) | 6.12892 | + | 1.01417i | 0.508979 | + | 0.0842222i | ||||
\(146\) | −8.49762 | − | 2.76104i | −0.703268 | − | 0.228506i | ||||
\(147\) | 11.2780 | − | 9.35108i | 0.930192 | − | 0.771264i | ||||
\(148\) | −1.07161 | − | 0.169727i | −0.0880862 | − | 0.0139515i | ||||
\(149\) | 15.1777 | 1.24340 | 0.621701 | − | 0.783254i | \(-0.286442\pi\) | ||||
0.621701 | + | 0.783254i | \(0.286442\pi\) | |||||||
\(150\) | 6.42288 | + | 5.80919i | 0.524426 | + | 0.474318i | ||||
\(151\) | 13.0979 | 1.06590 | 0.532948 | − | 0.846148i | \(-0.321084\pi\) | ||||
0.532948 | + | 0.846148i | \(0.321084\pi\) | |||||||
\(152\) | 4.90167 | + | 0.776348i | 0.397578 | + | 0.0629701i | ||||
\(153\) | 2.49005 | + | 1.92263i | 0.201308 | + | 0.155435i | ||||
\(154\) | −13.2407 | − | 4.30216i | −1.06697 | − | 0.346678i | ||||
\(155\) | 2.96921 | − | 1.48714i | 0.238492 | − | 0.119450i | ||||
\(156\) | −3.16157 | + | 1.87449i | −0.253128 | + | 0.150080i | ||||
\(157\) | −6.13050 | + | 6.13050i | −0.489267 | + | 0.489267i | −0.908075 | − | 0.418808i | \(-0.862448\pi\) |
0.418808 | + | 0.908075i | \(0.362448\pi\) | |||||||
\(158\) | 13.5287 | + | 6.89322i | 1.07629 | + | 0.548395i | ||||
\(159\) | −2.92398 | + | 6.77757i | −0.231887 | + | 0.537497i | ||||
\(160\) | −1.32679 | + | 1.79990i | −0.104892 | + | 0.142294i | ||||
\(161\) | −18.0327 | − | 24.8199i | −1.42117 | − | 1.95608i | ||||
\(162\) | 7.76696 | + | 4.54690i | 0.610230 | + | 0.357238i | ||||
\(163\) | −0.771116 | − | 4.86864i | −0.0603985 | − | 0.381341i | −0.999309 | − | 0.0371787i | \(-0.988163\pi\) |
0.938910 | − | 0.344162i | \(-0.111837\pi\) | |||||||
\(164\) | −0.952111 | + | 0.691749i | −0.0743473 | + | 0.0540165i | ||||
\(165\) | 13.6455 | + | 1.36973i | 1.06230 | + | 0.106633i | ||||
\(166\) | 8.68777 | + | 6.31204i | 0.674302 | + | 0.489909i | ||||
\(167\) | 3.73760 | − | 7.33545i | 0.289224 | − | 0.567634i | −0.699983 | − | 0.714160i | \(-0.746809\pi\) |
0.989207 | + | 0.146525i | \(0.0468090\pi\) | |||||||
\(168\) | −5.75388 | − | 3.64256i | −0.443921 | − | 0.281030i | ||||
\(169\) | 8.08104 | − | 2.62569i | 0.621619 | − | 0.201976i | ||||
\(170\) | 2.08186 | + | 1.07894i | 0.159671 | + | 0.0827507i | ||||
\(171\) | −1.89882 | − | 14.7667i | −0.145206 | − | 1.12924i | ||||
\(172\) | −5.29700 | − | 10.3959i | −0.403892 | − | 0.792684i | ||||
\(173\) | −0.713712 | + | 4.50620i | −0.0542625 | + | 0.342600i | 0.945589 | + | 0.325364i | \(0.105487\pi\) |
−0.999851 | + | 0.0172364i | \(0.994513\pi\) | |||||||
\(174\) | 4.69494 | − | 1.05492i | 0.355923 | − | 0.0799734i | ||||
\(175\) | −9.16594 | + | 17.3910i | −0.692880 | + | 1.31464i | ||||
\(176\) | 3.54097i | 0.266910i | ||||||||
\(177\) | 0.699162 | + | 10.9192i | 0.0525522 | + | 0.820741i | ||||
\(178\) | 2.35821 | − | 1.20157i | 0.176755 | − | 0.0900614i | ||||
\(179\) | 3.51637 | − | 10.8223i | 0.262826 | − | 0.808894i | −0.729361 | − | 0.684129i | \(-0.760182\pi\) |
0.992186 | − | 0.124765i | \(-0.0398177\pi\) | |||||||
\(180\) | 6.30090 | + | 2.30187i | 0.469642 | + | 0.171571i | ||||
\(181\) | 2.01769 | + | 6.20982i | 0.149974 | + | 0.461572i | 0.997617 | − | 0.0689945i | \(-0.0219791\pi\) |
−0.847643 | + | 0.530567i | \(0.821979\pi\) | |||||||
\(182\) | −5.89961 | − | 5.89961i | −0.437308 | − | 0.437308i | ||||
\(183\) | 2.26738 | + | 0.579479i | 0.167609 | + | 0.0428364i | ||||
\(184\) | −4.58646 | + | 6.31272i | −0.338118 | + | 0.465380i | ||||
\(185\) | 0.733743 | + | 2.31246i | 0.0539458 | + | 0.170015i | ||||
\(186\) | 1.69894 | − | 1.93139i | 0.124572 | − | 0.141616i | ||||
\(187\) | 3.66749 | − | 0.580873i | 0.268193 | − | 0.0424776i | ||||
\(188\) | −11.4118 | + | 1.80746i | −0.832294 | + | 0.131822i | ||||
\(189\) | −5.63432 | + | 19.6375i | −0.409836 | + | 1.42842i | ||||
\(190\) | −3.35621 | − | 10.5774i | −0.243485 | − | 0.767365i | ||||
\(191\) | −0.349868 | + | 0.481552i | −0.0253155 | + | 0.0348439i | −0.821487 | − | 0.570227i | \(-0.806855\pi\) |
0.796172 | + | 0.605071i | \(0.206855\pi\) | |||||||
\(192\) | −0.428879 | + | 1.67811i | −0.0309517 | + | 0.121107i | ||||
\(193\) | −15.5790 | − | 15.5790i | −1.12140 | − | 1.12140i | −0.991532 | − | 0.129866i | \(-0.958545\pi\) |
−0.129866 | − | 0.991532i | \(-0.541455\pi\) | |||||||
\(194\) | −4.92520 | − | 15.1582i | −0.353609 | − | 1.08830i | ||||
\(195\) | 6.91360 | + | 4.44392i | 0.495093 | + | 0.318236i | ||||
\(196\) | 2.61380 | − | 8.04445i | 0.186700 | − | 0.574604i | ||||
\(197\) | 2.51349 | − | 1.28069i | 0.179079 | − | 0.0912453i | −0.362153 | − | 0.932119i | \(-0.617958\pi\) |
0.541232 | + | 0.840873i | \(0.317958\pi\) | |||||||
\(198\) | 10.1945 | − | 2.98635i | 0.724491 | − | 0.212231i | ||||
\(199\) | − | 10.4829i | − | 0.743113i | −0.928410 | − | 0.371556i | \(-0.878824\pi\) | ||
0.928410 | − | 0.371556i | \(-0.121176\pi\) | |||||||
\(200\) | 4.92717 | + | 0.850318i | 0.348403 | + | 0.0601266i | ||||
\(201\) | 3.53352 | + | 15.7260i | 0.249235 | + | 1.10922i | ||||
\(202\) | −0.435685 | + | 2.75080i | −0.0306547 | + | 0.193546i | ||||
\(203\) | 4.95900 | + | 9.73259i | 0.348054 | + | 0.683094i | ||||
\(204\) | 1.80843 | + | 0.168920i | 0.126615 | + | 0.0118267i | ||||
\(205\) | 2.33644 | + | 1.21087i | 0.163184 | + | 0.0845711i | ||||
\(206\) | −10.6528 | + | 3.46130i | −0.742215 | + | 0.241160i | ||||
\(207\) | 22.0425 | + | 7.88050i | 1.53206 | + | 0.547733i | ||||
\(208\) | −0.963390 | + | 1.89076i | −0.0667991 | + | 0.131101i | ||||
\(209\) | −14.2168 | − | 10.3291i | −0.983400 | − | 0.714482i | ||||
\(210\) | −1.52088 | + | 15.1514i | −0.104951 | + | 1.04554i | ||||
\(211\) | 1.70957 | − | 1.24207i | 0.117692 | − | 0.0855079i | −0.527382 | − | 0.849628i | \(-0.676827\pi\) |
0.645074 | + | 0.764120i | \(0.276827\pi\) | |||||||
\(212\) | 0.666670 | + | 4.20919i | 0.0457871 | + | 0.289088i | ||||
\(213\) | −1.66590 | − | 4.19398i | −0.114146 | − | 0.287366i | ||||
\(214\) | −2.97840 | − | 4.09941i | −0.203599 | − | 0.280230i | ||||
\(215\) | −15.4805 | + | 21.0005i | −1.05576 | + | 1.43222i | ||||
\(216\) | 5.19302 | − | 0.180525i | 0.353340 | − | 0.0122832i | ||||
\(217\) | 5.20263 | + | 2.65087i | 0.353177 | + | 0.179953i | ||||
\(218\) | 7.12483 | − | 7.12483i | 0.482554 | − | 0.482554i | ||||
\(219\) | 7.89259 | + | 13.3119i | 0.533332 | + | 0.899532i | ||||
\(220\) | 7.07951 | − | 3.54581i | 0.477300 | − | 0.239058i | ||||
\(221\) | 2.11635 | + | 0.687645i | 0.142361 | + | 0.0462560i | ||||
\(222\) | 1.19947 | + | 1.44664i | 0.0805034 | + | 0.0970920i | ||||
\(223\) | −10.5167 | − | 1.66568i | −0.704248 | − | 0.111542i | −0.205969 | − | 0.978559i | \(-0.566034\pi\) |
−0.498279 | + | 0.867017i | \(0.666034\pi\) | |||||||
\(224\) | −3.93172 | −0.262699 | ||||||||
\(225\) | −1.70736 | − | 14.9025i | −0.113824 | − | 0.993501i | ||||
\(226\) | 3.76287 | 0.250303 | ||||||||
\(227\) | −1.36230 | − | 0.215768i | −0.0904192 | − | 0.0143210i | 0.111061 | − | 0.993814i | \(-0.464575\pi\) |
−0.201480 | + | 0.979493i | \(0.564575\pi\) | |||||||
\(228\) | −5.48650 | − | 6.61706i | −0.363353 | − | 0.438226i | ||||
\(229\) | 15.7865 | + | 5.12935i | 1.04320 | + | 0.338957i | 0.779997 | − | 0.625783i | \(-0.215220\pi\) |
0.263205 | + | 0.964740i | \(0.415220\pi\) | |||||||
\(230\) | 17.2138 | + | 2.84842i | 1.13505 | + | 0.187820i | ||||
\(231\) | 12.2980 | + | 20.7421i | 0.809146 | + | 1.36473i | ||||
\(232\) | 1.96449 | − | 1.96449i | 0.128975 | − | 0.128975i | ||||
\(233\) | −22.1187 | − | 11.2700i | −1.44904 | − | 0.738324i | −0.460274 | − | 0.887777i | \(-0.652249\pi\) |
−0.988769 | + | 0.149453i | \(0.952249\pi\) | |||||||
\(234\) | 6.25602 | + | 1.17900i | 0.408969 | + | 0.0770735i | ||||
\(235\) | 15.0411 | + | 21.0059i | 0.981175 | + | 1.37028i | ||||
\(236\) | 3.71312 | + | 5.11067i | 0.241704 | + | 0.332677i | ||||
\(237\) | −9.70839 | − | 24.4412i | −0.630628 | − | 1.58763i | ||||
\(238\) | 0.644974 | + | 4.07220i | 0.0418074 | + | 0.263962i | ||||
\(239\) | 19.2197 | − | 13.9639i | 1.24322 | − | 0.903249i | 0.245408 | − | 0.969420i | \(-0.421078\pi\) |
0.997808 | + | 0.0661704i | \(0.0210781\pi\) | |||||||
\(240\) | 3.78454 | − | 0.822943i | 0.244291 | − | 0.0531207i | ||||
\(241\) | −5.11077 | − | 3.71319i | −0.329214 | − | 0.239188i | 0.410883 | − | 0.911688i | \(-0.365220\pi\) |
−0.740097 | + | 0.672500i | \(0.765220\pi\) | |||||||
\(242\) | 0.698434 | − | 1.37075i | 0.0448970 | − | 0.0881154i | ||||
\(243\) | −4.89938 | − | 14.7985i | −0.314296 | − | 0.949325i | ||||
\(244\) | 1.28502 | − | 0.417528i | 0.0822649 | − | 0.0267295i | ||||
\(245\) | −18.7008 | + | 2.82964i | −1.19475 | + | 0.180779i | ||||
\(246\) | 2.02957 | + | 0.189576i | 0.129401 | + | 0.0120869i | ||||
\(247\) | −4.78108 | − | 9.38340i | −0.304213 | − | 0.597051i | ||||
\(248\) | 0.232323 | − | 1.46683i | 0.0147525 | − | 0.0931436i | ||||
\(249\) | −4.07762 | − | 18.1475i | −0.258408 | − | 1.15005i | ||||
\(250\) | −3.23385 | − | 10.7024i | −0.204527 | − | 0.676882i | ||||
\(251\) | 13.8304i | 0.872966i | 0.899712 | + | 0.436483i | \(0.143776\pi\) | ||||
−0.899712 | + | 0.436483i | \(0.856224\pi\) | |||||||
\(252\) | 3.31591 | + | 11.3195i | 0.208883 | + | 0.713060i | ||||
\(253\) | 24.6185 | − | 12.5437i | 1.54775 | − | 0.788619i | ||||
\(254\) | −5.92448 | + | 18.2337i | −0.371735 | + | 1.14408i | ||||
\(255\) | −1.47318 | − | 3.78477i | −0.0922539 | − | 0.237011i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −12.9955 | − | 12.9955i | −0.810638 | − | 0.810638i | 0.174091 | − | 0.984730i | \(-0.444301\pi\) |
−0.984730 | + | 0.174091i | \(0.944301\pi\) | |||||||
\(258\) | −5.00401 | + | 19.5796i | −0.311536 | + | 1.21897i | ||||
\(259\) | −2.50738 | + | 3.45111i | −0.155801 | + | 0.214442i | ||||
\(260\) | 4.74493 | + | 0.0327750i | 0.294268 | + | 0.00203262i | ||||
\(261\) | −7.31259 | − | 3.99900i | −0.452638 | − | 0.247532i | ||||
\(262\) | −11.8569 | + | 1.87794i | −0.732520 | + | 0.116020i | ||||
\(263\) | 8.70800 | − | 1.37921i | 0.536958 | − | 0.0850458i | 0.117935 | − | 0.993021i | \(-0.462373\pi\) |
0.419023 | + | 0.907976i | \(0.362373\pi\) | |||||||
\(264\) | 4.05080 | − | 4.60503i | 0.249309 | − | 0.283420i | ||||
\(265\) | 7.74792 | − | 5.54783i | 0.475951 | − | 0.340801i | ||||
\(266\) | 11.4690 | − | 15.7857i | 0.703209 | − | 0.967885i | ||||
\(267\) | −4.44143 | − | 1.13511i | −0.271811 | − | 0.0694675i | ||||
\(268\) | 6.58017 | + | 6.58017i | 0.401948 | + | 0.401948i | ||||
\(269\) | −0.0471754 | − | 0.145191i | −0.00287634 | − | 0.00885245i | 0.949608 | − | 0.313440i | \(-0.101481\pi\) |
−0.952484 | + | 0.304587i | \(0.901481\pi\) | |||||||
\(270\) | −5.56105 | − | 10.2017i | −0.338434 | − | 0.620856i | ||||
\(271\) | −3.79892 | + | 11.6919i | −0.230768 | + | 0.710230i | 0.766887 | + | 0.641782i | \(0.221805\pi\) |
−0.997655 | + | 0.0684477i | \(0.978195\pi\) | |||||||
\(272\) | 0.934346 | − | 0.476073i | 0.0566530 | − | 0.0288662i | ||||
\(273\) | 0.923411 | + | 14.4215i | 0.0558874 | + | 0.872829i | ||||
\(274\) | − | 8.40579i | − | 0.507813i | ||||||
\(275\) | −14.1784 | − | 10.6035i | −0.854988 | − | 0.639416i | ||||
\(276\) | 13.1863 | − | 2.96288i | 0.793724 | − | 0.178345i | ||||
\(277\) | 0.680977 | − | 4.29952i | 0.0409160 | − | 0.258333i | −0.958748 | − | 0.284258i | \(-0.908253\pi\) |
0.999664 | + | 0.0259243i | \(0.00825290\pi\) | |||||||
\(278\) | −1.20960 | − | 2.37397i | −0.0725468 | − | 0.142381i | ||||
\(279\) | −4.41895 | + | 0.568222i | −0.264556 | + | 0.0340186i | ||||
\(280\) | 3.93710 | + | 7.86075i | 0.235287 | + | 0.469770i | ||||
\(281\) | 21.0452 | − | 6.83801i | 1.25545 | − | 0.407922i | 0.395582 | − | 0.918431i | \(-0.370543\pi\) |
0.859872 | + | 0.510509i | \(0.170543\pi\) | |||||||
\(282\) | 16.9088 | + | 10.7043i | 1.00691 | + | 0.637434i | ||||
\(283\) | 3.54907 | − | 6.96545i | 0.210970 | − | 0.414053i | −0.761136 | − | 0.648592i | \(-0.775358\pi\) |
0.972107 | + | 0.234539i | \(0.0753581\pi\) | |||||||
\(284\) | −2.10783 | − | 1.53143i | −0.125077 | − | 0.0908736i | ||||
\(285\) | −7.73558 | + | 17.5954i | −0.458216 | + | 1.04226i | ||||
\(286\) | 6.07903 | − | 4.41668i | 0.359461 | − | 0.261164i | ||||
\(287\) | 0.723844 | + | 4.57017i | 0.0427272 | + | 0.269769i | ||||
\(288\) | 2.47749 | − | 1.69176i | 0.145987 | − | 0.0996879i | ||||
\(289\) | 9.34599 | + | 12.8637i | 0.549764 | + | 0.756686i | ||||
\(290\) | −5.89481 | − | 1.96046i | −0.346155 | − | 0.115122i | ||||
\(291\) | −10.9355 | + | 25.3476i | −0.641049 | + | 1.48590i | ||||
\(292\) | 7.96107 | + | 4.05637i | 0.465887 | + | 0.237381i | ||||
\(293\) | 5.69369 | − | 5.69369i | 0.332629 | − | 0.332629i | −0.520955 | − | 0.853584i | \(-0.674424\pi\) |
0.853584 | + | 0.520955i | \(0.174424\pi\) | |||||||
\(294\) | −12.6020 | + | 7.47169i | −0.734961 | + | 0.435758i | ||||
\(295\) | 6.49965 | − | 12.5414i | 0.378424 | − | 0.730187i | ||||
\(296\) | 1.03187 | + | 0.335275i | 0.0599762 | + | 0.0194875i | ||||
\(297\) | −16.6743 | − | 7.77855i | −0.967540 | − | 0.451357i | ||||
\(298\) | −14.9908 | − | 2.37431i | −0.868394 | − | 0.137540i | ||||
\(299\) | 16.5582 | 0.957588 | ||||||||
\(300\) | −5.43504 | − | 6.74243i | −0.313792 | − | 0.389274i | ||||
\(301\) | −45.8739 | −2.64413 | ||||||||
\(302\) | −12.9367 | − | 2.04897i | −0.744422 | − | 0.117905i | ||||
\(303\) | 3.71348 | − | 3.07901i | 0.213334 | − | 0.176885i | ||||
\(304\) | −4.71987 | − | 1.53358i | −0.270703 | − | 0.0879568i | ||||
\(305\) | −2.12155 | − | 2.15106i | −0.121479 | − | 0.123169i | ||||
\(306\) | −2.15862 | − | 2.28849i | −0.123400 | − | 0.130824i | ||||
\(307\) | −6.57841 | + | 6.57841i | −0.375450 | + | 0.375450i | −0.869458 | − | 0.494008i | \(-0.835531\pi\) |
0.494008 | + | 0.869458i | \(0.335531\pi\) | |||||||
\(308\) | 12.4047 | + | 6.32050i | 0.706822 | + | 0.360144i | ||||
\(309\) | 17.8137 | + | 7.68517i | 1.01338 | + | 0.437194i | ||||
\(310\) | −3.16529 | + | 1.00435i | −0.179776 | + | 0.0570431i | ||||
\(311\) | −6.69564 | − | 9.21576i | −0.379675 | − | 0.522578i | 0.575823 | − | 0.817574i | \(-0.304682\pi\) |
−0.955498 | + | 0.294996i | \(0.904682\pi\) | |||||||
\(312\) | 3.41588 | − | 1.35684i | 0.193386 | − | 0.0768157i | ||||
\(313\) | 3.74388 | + | 23.6379i | 0.211617 | + | 1.33610i | 0.833297 | + | 0.552825i | \(0.186450\pi\) |
−0.621681 | + | 0.783271i | \(0.713550\pi\) | |||||||
\(314\) | 7.01404 | − | 5.09600i | 0.395825 | − | 0.287584i | ||||
\(315\) | 19.3108 | − | 17.9645i | 1.08804 | − | 1.01219i | ||||
\(316\) | −12.2838 | − | 8.92470i | −0.691018 | − | 0.502054i | ||||
\(317\) | −6.09176 | + | 11.9558i | −0.342147 | + | 0.671502i | −0.996400 | − | 0.0847737i | \(-0.972983\pi\) |
0.654253 | + | 0.756276i | \(0.272983\pi\) | |||||||
\(318\) | 3.94823 | − | 6.23672i | 0.221406 | − | 0.349738i | ||||
\(319\) | −9.35606 | + | 3.03997i | −0.523839 | + | 0.170205i | ||||
\(320\) | 1.59202 | − | 1.57018i | 0.0889968 | − | 0.0877757i | ||||
\(321\) | −0.816240 | + | 8.73853i | −0.0455581 | + | 0.487737i | ||||
\(322\) | 13.9280 | + | 27.3352i | 0.776176 | + | 1.52333i | ||||
\(323\) | −0.814110 | + | 5.14009i | −0.0452983 | + | 0.286002i | ||||
\(324\) | −6.96005 | − | 5.70594i | −0.386669 | − | 0.316997i | ||||
\(325\) | −4.68589 | − | 9.51943i | −0.259927 | − | 0.528043i | ||||
\(326\) | 4.92933i | 0.273010i | ||||||||
\(327\) | −17.4165 | + | 1.11518i | −0.963136 | + | 0.0616698i | ||||
\(328\) | 1.04860 | − | 0.534289i | 0.0578994 | − | 0.0295012i | ||||
\(329\) | −14.0379 | + | 43.2041i | −0.773932 | + | 2.38192i | ||||
\(330\) | −13.2633 | − | 3.48749i | −0.730118 | − | 0.191980i | ||||
\(331\) | −2.24416 | − | 6.90681i | −0.123350 | − | 0.379633i | 0.870247 | − | 0.492616i | \(-0.163959\pi\) |
−0.993597 | + | 0.112983i | \(0.963959\pi\) | |||||||
\(332\) | −7.59339 | − | 7.59339i | −0.416742 | − | 0.416742i | ||||
\(333\) | 0.0950100 | − | 3.25353i | 0.00520652 | − | 0.178292i | ||||
\(334\) | −4.83910 | + | 6.66045i | −0.264784 | + | 0.364444i | ||||
\(335\) | 6.56666 | − | 19.7450i | 0.358775 | − | 1.07878i | ||||
\(336\) | 5.11321 | + | 4.49782i | 0.278949 | + | 0.245376i | ||||
\(337\) | −25.1497 | + | 3.98332i | −1.36999 | + | 0.216985i | −0.797695 | − | 0.603061i | \(-0.793948\pi\) |
−0.572297 | + | 0.820046i | \(0.693948\pi\) | |||||||
\(338\) | −8.39230 | + | 1.32921i | −0.456481 | + | 0.0722995i | ||||
\(339\) | −4.89363 | − | 4.30466i | −0.265785 | − | 0.233797i | ||||
\(340\) | −1.88744 | − | 1.39133i | −0.102361 | − | 0.0754554i | ||||
\(341\) | −3.09100 | + | 4.25440i | −0.167387 | + | 0.230389i | ||||
\(342\) | −0.434585 | + | 14.8820i | −0.0234997 | + | 0.804724i | ||||
\(343\) | −4.05468 | − | 4.05468i | −0.218932 | − | 0.218932i | ||||
\(344\) | 3.60550 | + | 11.0966i | 0.194396 | + | 0.598288i | ||||
\(345\) | −19.1281 | − | 23.3967i | −1.02982 | − | 1.25964i | ||||
\(346\) | 1.40985 | − | 4.33907i | 0.0757940 | − | 0.233270i | ||||
\(347\) | 4.08726 | − | 2.08256i | 0.219416 | − | 0.111798i | −0.340828 | − | 0.940126i | \(-0.610707\pi\) |
0.560244 | + | 0.828328i | \(0.310707\pi\) | |||||||
\(348\) | −4.80216 | + | 0.307484i | −0.257423 | + | 0.0164828i | ||||
\(349\) | 10.1416i | 0.542867i | 0.962457 | + | 0.271434i | \(0.0874978\pi\) | ||||
−0.962457 | + | 0.271434i | \(0.912502\pi\) | |||||||
\(350\) | 11.7736 | − | 15.7430i | 0.629328 | − | 0.841499i | ||||
\(351\) | −6.78721 | − | 8.69006i | −0.362275 | − | 0.463841i | ||||
\(352\) | 0.553929 | − | 3.49737i | 0.0295245 | − | 0.186410i | ||||
\(353\) | −5.55052 | − | 10.8935i | −0.295424 | − | 0.579803i | 0.694814 | − | 0.719190i | \(-0.255487\pi\) |
−0.990238 | + | 0.139387i | \(0.955487\pi\) | |||||||
\(354\) | 1.01759 | − | 10.8942i | 0.0540845 | − | 0.579020i | ||||
\(355\) | −0.951095 | + | 5.74774i | −0.0504789 | + | 0.305058i | ||||
\(356\) | −2.51715 | + | 0.817870i | −0.133408 | + | 0.0433470i | ||||
\(357\) | 3.81974 | − | 6.03375i | 0.202162 | − | 0.319340i | ||||
\(358\) | −5.16605 | + | 10.1389i | −0.273034 | + | 0.535860i | ||||
\(359\) | −27.4018 | − | 19.9085i | −1.44621 | − | 1.05073i | −0.986699 | − | 0.162561i | \(-0.948025\pi\) |
−0.459511 | − | 0.888172i | \(-0.651975\pi\) | |||||||
\(360\) | −5.86324 | − | 3.25921i | −0.309020 | − | 0.171775i | ||||
\(361\) | 4.55401 | − | 3.30868i | 0.239685 | − | 0.174141i | ||||
\(362\) | −1.02142 | − | 6.44900i | −0.0536847 | − | 0.338952i | ||||
\(363\) | −2.47643 | + | 0.983673i | −0.129979 | + | 0.0516295i | ||||
\(364\) | 4.90407 | + | 6.74988i | 0.257043 | + | 0.353790i | ||||
\(365\) | 0.138000 | − | 19.9786i | 0.00722324 | − | 1.04573i | ||||
\(366\) | −2.14881 | − | 0.927041i | −0.112320 | − | 0.0484572i | ||||
\(367\) | −4.23542 | − | 2.15805i | −0.221087 | − | 0.112649i | 0.339939 | − | 0.940447i | \(-0.389593\pi\) |
−0.561026 | + | 0.827798i | \(0.689593\pi\) | |||||||
\(368\) | 5.51752 | − | 5.51752i | 0.287621 | − | 0.287621i | ||||
\(369\) | −2.42259 | − | 2.56833i | −0.126115 | − | 0.133702i | ||||
\(370\) | −0.362961 | − | 2.39877i | −0.0188695 | − | 0.124706i | ||||
\(371\) | 15.9356 | + | 5.17778i | 0.827334 | + | 0.268817i | ||||
\(372\) | −1.98016 | + | 1.64184i | −0.102667 | + | 0.0851254i | ||||
\(373\) | 37.1540 | + | 5.88461i | 1.92376 | + | 0.304693i | 0.997407 | − | 0.0719662i | \(-0.0229274\pi\) |
0.926352 | + | 0.376660i | \(0.122927\pi\) | |||||||
\(374\) | −3.71320 | −0.192005 | ||||||||
\(375\) | −8.03776 | + | 17.6180i | −0.415068 | + | 0.909790i | ||||
\(376\) | 11.5541 | 0.595857 | ||||||||
\(377\) | −5.82291 | − | 0.922258i | −0.299895 | − | 0.0474987i | ||||
\(378\) | 8.63693 | − | 18.5144i | 0.444236 | − | 0.952275i | ||||
\(379\) | 15.4663 | + | 5.02532i | 0.794453 | + | 0.258133i | 0.677999 | − | 0.735063i | \(-0.262847\pi\) |
0.116454 | + | 0.993196i | \(0.462847\pi\) | |||||||
\(380\) | 1.66022 | + | 10.9722i | 0.0851674 | + | 0.562862i | ||||
\(381\) | 28.5638 | − | 16.9354i | 1.46337 | − | 0.867629i | ||||
\(382\) | 0.420892 | − | 0.420892i | 0.0215347 | − | 0.0215347i | ||||
\(383\) | 28.2694 | + | 14.4040i | 1.44450 | + | 0.736009i | 0.988107 | − | 0.153769i | \(-0.0491413\pi\) |
0.456393 | + | 0.889779i | \(0.349141\pi\) | |||||||
\(384\) | 0.686114 | − | 1.59036i | 0.0350131 | − | 0.0811578i | ||||
\(385\) | 0.215027 | − | 31.1300i | 0.0109588 | − | 1.58653i | ||||
\(386\) | 12.9501 | + | 17.8242i | 0.659141 | + | 0.907230i | ||||
\(387\) | 28.9065 | − | 19.7388i | 1.46940 | − | 1.00338i | ||||
\(388\) | 2.49330 | + | 15.7420i | 0.126578 | + | 0.799181i | ||||
\(389\) | −8.93091 | + | 6.48869i | −0.452815 | + | 0.328989i | −0.790706 | − | 0.612196i | \(-0.790286\pi\) |
0.337891 | + | 0.941185i | \(0.390286\pi\) | |||||||
\(390\) | −6.13330 | − | 5.47074i | −0.310572 | − | 0.277022i | ||||
\(391\) | −6.61978 | − | 4.80955i | −0.334776 | − | 0.243229i | ||||
\(392\) | −3.84005 | + | 7.53652i | −0.193952 | + | 0.380652i | ||||
\(393\) | 17.5682 | + | 11.1218i | 0.886200 | + | 0.561019i | ||||
\(394\) | −2.68289 | + | 0.871725i | −0.135162 | + | 0.0439169i | ||||
\(395\) | −5.54270 | + | 33.4961i | −0.278883 | + | 1.68537i | ||||
\(396\) | −10.5361 | + | 1.35482i | −0.529461 | + | 0.0680821i | ||||
\(397\) | −6.77912 | − | 13.3048i | −0.340234 | − | 0.667748i | 0.655970 | − | 0.754787i | \(-0.272260\pi\) |
−0.996205 | + | 0.0870388i | \(0.972260\pi\) | |||||||
\(398\) | −1.63989 | + | 10.3538i | −0.0822000 | + | 0.518991i | ||||
\(399\) | −32.9740 | + | 7.40905i | −1.65077 | + | 0.370916i | ||||
\(400\) | −4.73348 | − | 1.61063i | −0.236674 | − | 0.0805314i | ||||
\(401\) | 12.7473i | 0.636570i | 0.947995 | + | 0.318285i | \(0.103107\pi\) | ||||
−0.947995 | + | 0.318285i | \(0.896893\pi\) | |||||||
\(402\) | −1.02993 | − | 16.0851i | −0.0513684 | − | 0.802253i | ||||
\(403\) | −2.80799 | + | 1.43074i | −0.139876 | + | 0.0712703i | ||||
\(404\) | 0.860641 | − | 2.64878i | 0.0428185 | − | 0.131782i | ||||
\(405\) | −4.43841 | + | 19.6291i | −0.220546 | + | 0.975376i | ||||
\(406\) | −3.37544 | − | 10.3885i | −0.167520 | − | 0.515574i | ||||
\(407\) | −2.71660 | − | 2.71660i | −0.134657 | − | 0.134657i | ||||
\(408\) | −1.75974 | − | 0.449740i | −0.0871200 | − | 0.0222655i | ||||
\(409\) | 15.8203 | − | 21.7748i | 0.782264 | − | 1.07669i | −0.212764 | − | 0.977104i | \(-0.568247\pi\) |
0.995028 | − | 0.0995907i | \(-0.0317533\pi\) | |||||||
\(410\) | −2.11825 | − | 1.56147i | −0.104613 | − | 0.0771153i | ||||
\(411\) | −9.61607 | + | 10.9318i | −0.474326 | + | 0.539224i | ||||
\(412\) | 11.0631 | − | 1.75222i | 0.545040 | − | 0.0863259i | ||||
\(413\) | 24.5315 | − | 3.88540i | 1.20711 | − | 0.191188i | ||||
\(414\) | −20.5383 | − | 11.2317i | −1.00940 | − | 0.552007i | ||||
\(415\) | −7.57781 | + | 22.7854i | −0.371980 | + | 1.11849i | ||||
\(416\) | 1.24731 | − | 1.71677i | 0.0611543 | − | 0.0841717i | ||||
\(417\) | −1.14269 | + | 4.47111i | −0.0559579 | + | 0.218951i | ||||
\(418\) | 12.4260 | + | 12.4260i | 0.607775 | + | 0.607775i | ||||
\(419\) | 5.97052 | + | 18.3754i | 0.291679 | + | 0.897696i | 0.984317 | + | 0.176410i | \(0.0564485\pi\) |
−0.692638 | + | 0.721286i | \(0.743551\pi\) | |||||||
\(420\) | 3.87235 | − | 14.7269i | 0.188951 | − | 0.718599i | ||||
\(421\) | 2.15745 | − | 6.63995i | 0.105148 | − | 0.323611i | −0.884617 | − | 0.466318i | \(-0.845580\pi\) |
0.989765 | + | 0.142706i | \(0.0455804\pi\) | |||||||
\(422\) | −1.88282 | + | 0.959347i | −0.0916545 | + | 0.0467003i | ||||
\(423\) | −9.74440 | − | 33.2644i | −0.473789 | − | 1.61737i | ||||
\(424\) | − | 4.26166i | − | 0.206964i | ||||||
\(425\) | −0.891678 | + | 5.16683i | −0.0432527 | + | 0.250628i | ||||
\(426\) | 0.989313 | + | 4.40295i | 0.0479324 | + | 0.213323i | ||||
\(427\) | 0.831033 | − | 5.24693i | 0.0402165 | − | 0.253917i | ||||
\(428\) | 2.30044 | + | 4.51487i | 0.111196 | + | 0.218234i | ||||
\(429\) | −12.9584 | − | 1.21040i | −0.625637 | − | 0.0584389i | ||||
\(430\) | 18.5752 | − | 18.3203i | 0.895773 | − | 0.883483i | ||||
\(431\) | 11.4753 | − | 3.72856i | 0.552747 | − | 0.179598i | −0.0193080 | − | 0.999814i | \(-0.506146\pi\) |
0.572055 | + | 0.820215i | \(0.306146\pi\) | |||||||
\(432\) | −5.15732 | − | 0.634064i | −0.248132 | − | 0.0305064i | ||||
\(433\) | −11.0750 | + | 21.7358i | −0.532228 | + | 1.04456i | 0.455771 | + | 0.890097i | \(0.349364\pi\) |
−0.987999 | + | 0.154460i | \(0.950636\pi\) | |||||||
\(434\) | −4.72389 | − | 3.43211i | −0.226754 | − | 0.164746i | ||||
\(435\) | 5.42349 | + | 9.29314i | 0.260036 | + | 0.445572i | ||||
\(436\) | −8.15168 | + | 5.92254i | −0.390395 | + | 0.283638i | ||||
\(437\) | 6.05780 | + | 38.2475i | 0.289784 | + | 1.82962i | ||||
\(438\) | −5.71298 | − | 14.3826i | −0.272977 | − | 0.687229i | ||||
\(439\) | −4.35738 | − | 5.99742i | −0.207966 | − | 0.286241i | 0.692274 | − | 0.721635i | \(-0.256609\pi\) |
−0.900240 | + | 0.435394i | \(0.856609\pi\) | |||||||
\(440\) | −7.54703 | + | 2.39467i | −0.359791 | + | 0.114162i | ||||
\(441\) | 24.9364 | + | 4.69946i | 1.18745 | + | 0.223784i | ||||
\(442\) | −1.98273 | − | 1.01025i | −0.0943087 | − | 0.0480527i | ||||
\(443\) | 0.514362 | − | 0.514362i | 0.0244381 | − | 0.0244381i | −0.694782 | − | 0.719220i | \(-0.744499\pi\) |
0.719220 | + | 0.694782i | \(0.244499\pi\) | |||||||
\(444\) | −0.958401 | − | 1.61647i | −0.0454837 | − | 0.0767141i | ||||
\(445\) | 4.15577 | + | 4.21358i | 0.197002 | + | 0.199743i | ||||
\(446\) | 10.1266 | + | 3.29034i | 0.479509 | + | 0.155802i | ||||
\(447\) | 16.7794 | + | 20.2370i | 0.793639 | + | 0.957177i | ||||
\(448\) | 3.88332 | + | 0.615057i | 0.183469 | + | 0.0290587i | ||||
\(449\) | 29.6955 | 1.40142 | 0.700709 | − | 0.713447i | \(-0.252867\pi\) | ||||
0.700709 | + | 0.713447i | \(0.252867\pi\) | |||||||
\(450\) | −0.644927 | + | 14.9861i | −0.0304021 | + | 0.706453i | ||||
\(451\) | −4.16727 | −0.196229 | ||||||||
\(452\) | −3.71655 | − | 0.588643i | −0.174812 | − | 0.0276874i | ||||
\(453\) | 14.4802 | + | 17.4640i | 0.680339 | + | 0.820531i | ||||
\(454\) | 1.31178 | + | 0.426222i | 0.0615648 | + | 0.0200036i | ||||
\(455\) | 8.58435 | − | 16.5639i | 0.402441 | − | 0.776527i | ||||
\(456\) | 4.38382 | + | 7.39387i | 0.205291 | + | 0.346250i | ||||
\(457\) | −2.68309 | + | 2.68309i | −0.125510 | + | 0.125510i | −0.767071 | − | 0.641562i | \(-0.778287\pi\) |
0.641562 | + | 0.767071i | \(0.278287\pi\) | |||||||
\(458\) | −14.7898 | − | 7.53576i | −0.691080 | − | 0.352123i | ||||
\(459\) | 0.189306 | + | 5.44561i | 0.00883605 | + | 0.254179i | ||||
\(460\) | −16.5563 | − | 5.50620i | −0.771943 | − | 0.256728i | ||||
\(461\) | 6.68161 | + | 9.19644i | 0.311193 | + | 0.428321i | 0.935753 | − | 0.352656i | \(-0.114721\pi\) |
−0.624560 | + | 0.780977i | \(0.714721\pi\) | |||||||
\(462\) | −8.90177 | − | 22.4105i | −0.414148 | − | 1.04263i | ||||
\(463\) | −2.20029 | − | 13.8921i | −0.102256 | − | 0.645619i | −0.984574 | − | 0.174966i | \(-0.944018\pi\) |
0.882318 | − | 0.470653i | \(-0.155982\pi\) | |||||||
\(464\) | −2.24762 | + | 1.63299i | −0.104343 | + | 0.0758097i | ||||
\(465\) | 5.26542 | + | 2.31488i | 0.244178 | + | 0.107350i | ||||
\(466\) | 20.0833 | + | 14.5914i | 0.930343 | + | 0.675934i | ||||
\(467\) | 2.03239 | − | 3.98879i | 0.0940479 | − | 0.184579i | −0.839190 | − | 0.543838i | \(-0.816970\pi\) |
0.933238 | + | 0.359259i | \(0.116970\pi\) | |||||||
\(468\) | −5.99456 | − | 2.14314i | −0.277099 | − | 0.0990667i | ||||
\(469\) | 34.7969 | − | 11.3062i | 1.60677 | − | 0.522072i | ||||
\(470\) | −11.5699 | − | 23.1003i | −0.533679 | − | 1.06554i | ||||
\(471\) | −14.9515 | − | 1.39657i | −0.688929 | − | 0.0643508i | ||||
\(472\) | −2.86792 | − | 5.62861i | −0.132007 | − | 0.259078i | ||||
\(473\) | 6.46305 | − | 40.8061i | 0.297171 | − | 1.87627i | ||||
\(474\) | 5.76542 | + | 25.6590i | 0.264814 | + | 1.17856i | ||||
\(475\) | 20.2744 | − | 14.3065i | 0.930253 | − | 0.656427i | ||||
\(476\) | − | 4.12296i | − | 0.188976i | ||||||
\(477\) | −12.2694 | + | 3.59417i | −0.561776 | + | 0.164566i | ||||
\(478\) | −21.1675 | + | 10.7854i | −0.968177 | + | 0.493311i | ||||
\(479\) | −9.35922 | + | 28.8047i | −0.427634 | + | 1.31612i | 0.472816 | + | 0.881161i | \(0.343237\pi\) |
−0.900450 | + | 0.434960i | \(0.856763\pi\) | |||||||
\(480\) | −3.86669 | + | 0.220778i | −0.176489 | + | 0.0100771i | ||||
\(481\) | −0.711470 | − | 2.18968i | −0.0324402 | − | 0.0998408i | ||||
\(482\) | 4.46698 | + | 4.46698i | 0.203465 | + | 0.203465i | ||||
\(483\) | 13.1576 | − | 51.4829i | 0.598692 | − | 2.34255i | ||||
\(484\) | −0.904268 | + | 1.24462i | −0.0411031 | + | 0.0565736i | ||||
\(485\) | 28.9766 | − | 20.7485i | 1.31576 | − | 0.942139i | ||||
\(486\) | 2.52407 | + | 15.3828i | 0.114494 | + | 0.697776i | ||||
\(487\) | −0.548721 | + | 0.0869089i | −0.0248649 | + | 0.00393822i | −0.168855 | − | 0.985641i | \(-0.554007\pi\) |
0.143990 | + | 0.989579i | \(0.454007\pi\) | |||||||
\(488\) | −1.33451 | + | 0.211366i | −0.0604106 | + | 0.00956809i | ||||
\(489\) | 5.63906 | − | 6.41060i | 0.255007 | − | 0.289897i | ||||
\(490\) | 18.9132 | + | 0.130641i | 0.854411 | + | 0.00590174i | ||||
\(491\) | −3.72379 | + | 5.12536i | −0.168052 | + | 0.231304i | −0.884734 | − | 0.466096i | \(-0.845660\pi\) |
0.716682 | + | 0.697400i | \(0.245660\pi\) | |||||||
\(492\) | −1.97493 | − | 0.504737i | −0.0890366 | − | 0.0227553i | ||||
\(493\) | 2.06004 | + | 2.06004i | 0.0927797 | + | 0.0927797i | ||||
\(494\) | 3.25433 | + | 10.0158i | 0.146419 | + | 0.450632i | ||||
\(495\) | 13.2593 | + | 19.7084i | 0.595960 | + | 0.885827i | ||||
\(496\) | −0.458925 | + | 1.41243i | −0.0206063 | + | 0.0634198i | ||||
\(497\) | −9.12729 | + | 4.65059i | −0.409415 | + | 0.208607i | ||||
\(498\) | 1.18852 | + | 18.5619i | 0.0532590 | + | 0.831780i | ||||
\(499\) | 26.3004i | 1.17737i | 0.808363 | + | 0.588684i | \(0.200354\pi\) | ||||
−0.808363 | + | 0.588684i | \(0.799646\pi\) | |||||||
\(500\) | 1.51981 | + | 11.0766i | 0.0679678 | + | 0.495359i | ||||
\(501\) | 13.9127 | − | 3.12609i | 0.621573 | − | 0.139663i | ||||
\(502\) | 2.16355 | − | 13.6601i | 0.0965639 | − | 0.609681i | ||||
\(503\) | 2.72953 | + | 5.35700i | 0.121704 | + | 0.238857i | 0.943818 | − | 0.330465i | \(-0.107206\pi\) |
−0.822115 | + | 0.569322i | \(0.807206\pi\) | |||||||
\(504\) | −1.50433 | − | 11.6988i | −0.0670080 | − | 0.521108i | ||||
\(505\) | −6.15757 | + | 0.931711i | −0.274008 | + | 0.0414606i | ||||
\(506\) | −26.2777 | + | 8.53813i | −1.16818 | + | 0.379566i | ||||
\(507\) | 12.4348 | + | 7.87200i | 0.552249 | + | 0.349608i | ||||
\(508\) | 8.70391 | − | 17.0824i | 0.386174 | − | 0.757908i | ||||
\(509\) | 1.71448 | + | 1.24564i | 0.0759931 | + | 0.0552122i | 0.625133 | − | 0.780518i | \(-0.285045\pi\) |
−0.549140 | + | 0.835730i | \(0.685045\pi\) | |||||||
\(510\) | 0.862972 | + | 3.96863i | 0.0382130 | + | 0.175734i | ||||
\(511\) | 28.4205 | − | 20.6487i | 1.25725 | − | 0.913444i | ||||
\(512\) | −0.156434 | − | 0.987688i | −0.00691349 | − | 0.0436501i | ||||
\(513\) | 17.5899 | − | 18.8569i | 0.776612 | − | 0.832551i | ||||
\(514\) | 10.8026 | + | 14.8685i | 0.476481 | + | 0.655820i | ||||
\(515\) | −14.5815 | − | 20.3640i | −0.642537 | − | 0.897346i | ||||
\(516\) | 8.00533 | − | 18.5558i | 0.352415 | − | 0.816872i | ||||
\(517\) | −36.4534 | − | 18.5739i | −1.60322 | − | 0.816881i | ||||
\(518\) | 3.01638 | − | 3.01638i | 0.132532 | − | 0.132532i | ||||
\(519\) | −6.79733 | + | 4.03013i | −0.298370 | + | 0.176903i | ||||
\(520\) | −4.68139 | − | 0.774642i | −0.205292 | − | 0.0339703i | ||||
\(521\) | −7.20132 | − | 2.33985i | −0.315496 | − | 0.102511i | 0.146989 | − | 0.989138i | \(-0.453042\pi\) |
−0.462484 | + | 0.886627i | \(0.653042\pi\) | |||||||
\(522\) | 6.59698 | + | 5.09370i | 0.288742 | + | 0.222945i | ||||
\(523\) | −19.0191 | − | 3.01233i | −0.831649 | − | 0.131720i | −0.273929 | − | 0.961750i | \(-0.588323\pi\) |
−0.557719 | + | 0.830030i | \(0.688323\pi\) | |||||||
\(524\) | 12.0047 | 0.524427 | ||||||||
\(525\) | −33.3214 | + | 7.00499i | −1.45426 | + | 0.305723i | ||||
\(526\) | −8.81654 | −0.384420 | ||||||||
\(527\) | 1.53818 | + | 0.243623i | 0.0670040 | + | 0.0106124i | ||||
\(528\) | −4.72131 | + | 3.91465i | −0.205469 | + | 0.170363i | ||||
\(529\) | −36.0318 | − | 11.7074i | −1.56660 | − | 0.509019i | ||||
\(530\) | −8.52040 | + | 4.26749i | −0.370102 | + | 0.185368i | ||||
\(531\) | −13.7861 | + | 13.0038i | −0.598267 | + | 0.564317i | ||||
\(532\) | −13.7972 | + | 13.7972i | −0.598186 | + | 0.598186i | ||||
\(533\) | −2.22518 | − | 1.13379i | −0.0963834 | − | 0.0491098i | ||||
\(534\) | 4.20918 | + | 1.81593i | 0.182149 | + | 0.0785828i | ||||
\(535\) | 6.72306 | − | 9.12035i | 0.290663 | − | 0.394307i | ||||
\(536\) | −5.46979 | − | 7.52852i | −0.236259 | − | 0.325183i | ||||
\(537\) | 18.3172 | − | 7.27586i | 0.790447 | − | 0.313976i | ||||
\(538\) | 0.0238817 | + | 0.150783i | 0.00102961 | + | 0.00650073i | ||||
\(539\) | 24.2309 | − | 17.6048i | 1.04370 | − | 0.758291i | ||||
\(540\) | 3.89668 | + | 10.9460i | 0.167686 | + | 0.471043i | ||||
\(541\) | −5.35372 | − | 3.88970i | −0.230174 | − | 0.167231i | 0.466720 | − | 0.884405i | \(-0.345435\pi\) |
−0.696895 | + | 0.717174i | \(0.745435\pi\) | |||||||
\(542\) | 5.58115 | − | 10.9536i | 0.239731 | − | 0.470499i | ||||
\(543\) | −6.04918 | + | 9.55543i | −0.259595 | + | 0.410063i | ||||
\(544\) | −0.997317 | + | 0.324048i | −0.0427596 | + | 0.0138934i | ||||
\(545\) | 20.0039 | + | 10.3671i | 0.856871 | + | 0.444079i | ||||
\(546\) | 1.34398 | − | 14.3884i | 0.0575169 | − | 0.615766i | ||||
\(547\) | −1.05652 | − | 2.07353i | −0.0451734 | − | 0.0886577i | 0.867316 | − | 0.497757i | \(-0.165843\pi\) |
−0.912490 | + | 0.409099i | \(0.865843\pi\) | |||||||
\(548\) | −1.31496 | + | 8.30230i | −0.0561721 | + | 0.354657i | ||||
\(549\) | 1.73402 | + | 3.66382i | 0.0740061 | + | 0.156368i | ||||
\(550\) | 12.3451 | + | 12.6909i | 0.526395 | + | 0.541144i | ||||
\(551\) | − | 13.7876i | − | 0.587372i | ||||||
\(552\) | −13.4875 | + | 0.863606i | −0.574066 | + | 0.0367575i | ||||
\(553\) | −53.1911 | + | 27.1022i | −2.26192 | + | 1.15250i | ||||
\(554\) | −1.34519 | + | 4.14006i | −0.0571515 | + | 0.175894i | ||||
\(555\) | −2.27211 | + | 3.53482i | −0.0964459 | + | 0.150045i | ||||
\(556\) | 0.823335 | + | 2.53396i | 0.0349172 | + | 0.107464i | ||||
\(557\) | 0.0556738 | + | 0.0556738i | 0.00235897 | + | 0.00235897i | 0.708285 | − | 0.705926i | \(-0.249469\pi\) |
−0.705926 | + | 0.708285i | \(0.749469\pi\) | |||||||
\(558\) | 4.45344 | + | 0.130050i | 0.188529 | + | 0.00550545i | ||||
\(559\) | 14.5532 | − | 20.0307i | 0.615533 | − | 0.847208i | ||||
\(560\) | −2.65894 | − | 8.37987i | −0.112361 | − | 0.354114i | ||||
\(561\) | 4.82903 | + | 4.24783i | 0.203882 | + | 0.179344i | ||||
\(562\) | −21.8558 | + | 3.46162i | −0.921933 | + | 0.146020i | ||||
\(563\) | −38.0847 | + | 6.03203i | −1.60508 | + | 0.254220i | −0.893726 | − | 0.448613i | \(-0.851918\pi\) |
−0.711355 | + | 0.702833i | \(0.751918\pi\) | |||||||
\(564\) | −15.0261 | − | 13.2177i | −0.632714 | − | 0.556564i | ||||
\(565\) | 2.54475 | + | 8.02000i | 0.107058 | + | 0.337404i | ||||
\(566\) | −4.59501 | + | 6.32449i | −0.193143 | + | 0.265838i | ||||
\(567\) | −32.4124 | + | 14.1975i | −1.36119 | + | 0.596237i | ||||
\(568\) | 1.84231 | + | 1.84231i | 0.0773017 | + | 0.0773017i | ||||
\(569\) | −2.48906 | − | 7.66055i | −0.104347 | − | 0.321147i | 0.885230 | − | 0.465154i | \(-0.154001\pi\) |
−0.989577 | + | 0.144007i | \(0.954001\pi\) | |||||||
\(570\) | 10.3929 | − | 16.1686i | 0.435309 | − | 0.677229i | ||||
\(571\) | −6.28765 | + | 19.3514i | −0.263130 | + | 0.809831i | 0.728988 | + | 0.684526i | \(0.239991\pi\) |
−0.992118 | + | 0.125305i | \(0.960009\pi\) | |||||||
\(572\) | −6.69511 | + | 3.41133i | −0.279937 | + | 0.142635i | ||||
\(573\) | −1.02886 | + | 0.0658783i | −0.0429814 | + | 0.00275210i | ||||
\(574\) | − | 4.62714i | − | 0.193133i | ||||||
\(575\) | 5.57035 | + | 38.6150i | 0.232300 | + | 1.61036i | ||||
\(576\) | −2.71164 | + | 1.28337i | −0.112985 | + | 0.0534736i | ||||
\(577\) | −5.77419 | + | 36.4568i | −0.240383 | + | 1.51772i | 0.511997 | + | 0.858987i | \(0.328906\pi\) |
−0.752380 | + | 0.658729i | \(0.771094\pi\) | |||||||
\(578\) | −7.21861 | − | 14.1673i | −0.300255 | − | 0.589283i | ||||
\(579\) | 3.54901 | − | 37.9951i | 0.147492 | − | 1.57902i | ||||
\(580\) | 5.51555 | + | 2.85847i | 0.229021 | + | 0.118692i | ||||
\(581\) | −40.1550 | + | 13.0472i | −1.66591 | + | 0.541287i | ||||
\(582\) | 14.7661 | − | 23.3249i | 0.612074 | − | 0.966846i | ||||
\(583\) | −6.85089 | + | 13.4456i | −0.283735 | + | 0.556861i | ||||
\(584\) | −7.22850 | − | 5.25182i | −0.299118 | − | 0.217322i | ||||
\(585\) | 1.71795 | + | 14.1311i | 0.0710284 | + | 0.584249i | ||||
\(586\) | −6.51428 | + | 4.73290i | −0.269102 | + | 0.195514i | ||||
\(587\) | −4.84574 | − | 30.5948i | −0.200005 | − | 1.26278i | −0.859525 | − | 0.511094i | \(-0.829240\pi\) |
0.659520 | − | 0.751687i | \(-0.270760\pi\) | |||||||
\(588\) | 13.6156 | − | 5.40832i | 0.561500 | − | 0.223035i | ||||
\(589\) | −4.33213 | − | 5.96267i | −0.178502 | − | 0.245688i | ||||
\(590\) | −8.38153 | + | 11.3702i | −0.345062 | + | 0.468103i | ||||
\(591\) | 4.48635 | + | 1.93550i | 0.184544 | + | 0.0796158i | ||||
\(592\) | −0.966718 | − | 0.492567i | −0.0397319 | − | 0.0202444i | ||||
\(593\) | −21.6044 | + | 21.6044i | −0.887186 | + | 0.887186i | −0.994252 | − | 0.107066i | \(-0.965854\pi\) |
0.107066 | + | 0.994252i | \(0.465854\pi\) | |||||||
\(594\) | 15.2522 | + | 10.2912i | 0.625804 | + | 0.422254i | ||||
\(595\) | −8.24311 | + | 4.12860i | −0.337934 | + | 0.169256i | ||||
\(596\) | 14.4348 | + | 4.69016i | 0.591273 | + | 0.192116i | ||||
\(597\) | 13.9773 | − | 11.5892i | 0.572051 | − | 0.474314i | ||||
\(598\) | −16.3544 | − | 2.59028i | −0.668780 | − | 0.105924i | ||||
\(599\) | −32.5862 | −1.33144 | −0.665718 | − | 0.746204i | \(-0.731874\pi\) | ||||
−0.665718 | + | 0.746204i | \(0.731874\pi\) | |||||||
\(600\) | 4.31338 | + | 7.50964i | 0.176093 | + | 0.306580i | ||||
\(601\) | 25.6991 | 1.04829 | 0.524144 | − | 0.851630i | \(-0.324386\pi\) | ||||
0.524144 | + | 0.851630i | \(0.324386\pi\) | |||||||
\(602\) | 45.3092 | + | 7.17626i | 1.84666 | + | 0.292483i | ||||
\(603\) | −17.0616 | + | 22.0970i | −0.694804 | + | 0.899857i | ||||
\(604\) | 12.4569 | + | 4.04749i | 0.506863 | + | 0.164690i | ||||
\(605\) | 3.39389 | + | 0.561597i | 0.137981 | + | 0.0228322i | ||||
\(606\) | −4.14942 | + | 2.46019i | −0.168559 | + | 0.0999383i | ||||
\(607\) | 6.64949 | − | 6.64949i | 0.269894 | − | 0.269894i | −0.559163 | − | 0.829058i | \(-0.688877\pi\) |
0.829058 | + | 0.559163i | \(0.188877\pi\) | |||||||
\(608\) | 4.42186 | + | 2.25305i | 0.179330 | + | 0.0913732i | ||||
\(609\) | −7.49452 | + | 17.3717i | −0.303693 | + | 0.703939i | ||||
\(610\) | 1.75893 | + | 2.45646i | 0.0712168 | + | 0.0994591i | ||||
\(611\) | −14.4115 | − | 19.8357i | −0.583027 | − | 0.802469i | ||||
\(612\) | 1.77405 | + | 2.59800i | 0.0717117 | + | 0.105018i | ||||
\(613\) | −4.00713 | − | 25.3000i | −0.161846 | − | 1.02186i | −0.926192 | − | 0.377052i | \(-0.876938\pi\) |
0.764346 | − | 0.644807i | \(-0.223062\pi\) | |||||||
\(614\) | 7.52651 | − | 5.46833i | 0.303745 | − | 0.220684i | ||||
\(615\) | 0.968500 | + | 4.45393i | 0.0390537 | + | 0.179600i | ||||
\(616\) | −11.2632 | − | 8.18320i | −0.453808 | − | 0.329711i | ||||
\(617\) | 20.5976 | − | 40.4250i | 0.829227 | − | 1.62745i | 0.0516476 | − | 0.998665i | \(-0.483553\pi\) |
0.777580 | − | 0.628785i | \(-0.216447\pi\) | |||||||
\(618\) | −16.3921 | − | 10.3772i | −0.659387 | − | 0.417433i | ||||
\(619\) | −42.4716 | + | 13.7999i | −1.70708 | + | 0.554663i | −0.989843 | − | 0.142168i | \(-0.954593\pi\) |
−0.717235 | + | 0.696831i | \(0.754593\pi\) | |||||||
\(620\) | 3.28344 | − | 0.496822i | 0.131866 | − | 0.0199528i | ||||
\(621\) | 13.8613 | + | 38.1023i | 0.556235 | + | 1.52899i | ||||
\(622\) | 5.17155 | + | 10.1497i | 0.207360 | + | 0.406967i | ||||
\(623\) | −1.62786 | + | 10.2779i | −0.0652189 | + | 0.411776i | ||||
\(624\) | −3.58608 | + | 0.805769i | −0.143558 | + | 0.0322566i | ||||
\(625\) | 20.6237 | − | 14.1303i | 0.824946 | − | 0.565211i | ||||
\(626\) | − | 23.9326i | − | 0.956539i | ||||||
\(627\) | −1.94492 | − | 30.3751i | −0.0776728 | − | 1.21306i | ||||
\(628\) | −7.72488 | + | 3.93602i | −0.308256 | + | 0.157064i | ||||
\(629\) | −0.351583 | + | 1.08206i | −0.0140185 | + | 0.0431446i | ||||
\(630\) | −21.8833 | + | 14.7225i | −0.871851 | + | 0.586557i | ||||
\(631\) | −12.3680 | − | 38.0648i | −0.492363 | − | 1.51534i | −0.821027 | − | 0.570890i | \(-0.806598\pi\) |
0.328664 | − | 0.944447i | \(-0.393402\pi\) | |||||||
\(632\) | 10.7364 | + | 10.7364i | 0.427073 | + | 0.427073i | ||||
\(633\) | 3.54609 | + | 0.906283i | 0.140945 | + | 0.0360215i | ||||
\(634\) | 7.88706 | − | 10.8556i | 0.313235 | − | 0.431131i | ||||
\(635\) | −42.8689 | − | 0.296112i | −1.70120 | − | 0.0117508i | ||||
\(636\) | −4.87526 | + | 5.54230i | −0.193317 | + | 0.219766i | ||||
\(637\) | 17.7282 | − | 2.80788i | 0.702418 | − | 0.111252i | ||||
\(638\) | 9.71642 | − | 1.53893i | 0.384677 | − | 0.0609268i | ||||
\(639\) | 3.75029 | − | 6.85780i | 0.148359 | − | 0.271290i | ||||
\(640\) | −1.81805 | + | 1.30180i | −0.0718648 | + | 0.0514582i | ||||
\(641\) | −8.86726 | + | 12.2047i | −0.350236 | + | 0.482058i | −0.947396 | − | 0.320064i | \(-0.896296\pi\) |
0.597160 | + | 0.802122i | \(0.296296\pi\) | |||||||
\(642\) | 2.17320 | − | 8.50326i | 0.0857693 | − | 0.335597i | ||||
\(643\) | 28.2993 | + | 28.2993i | 1.11602 | + | 1.11602i | 0.992320 | + | 0.123696i | \(0.0394747\pi\) |
0.123696 | + | 0.992320i | \(0.460525\pi\) | |||||||
\(644\) | −9.48034 | − | 29.1775i | −0.373578 | − | 1.14975i | ||||
\(645\) | −45.1151 | + | 2.57596i | −1.77641 | + | 0.101428i | ||||
\(646\) | 1.60817 | − | 4.94945i | 0.0632728 | − | 0.194734i | ||||
\(647\) | 16.2495 | − | 8.27955i | 0.638835 | − | 0.325503i | −0.104398 | − | 0.994536i | \(-0.533291\pi\) |
0.743233 | + | 0.669033i | \(0.233291\pi\) | |||||||
\(648\) | 5.98175 | + | 6.72448i | 0.234985 | + | 0.264163i | ||||
\(649\) | 22.3688i | 0.878051i | ||||||||
\(650\) | 3.13903 | + | 10.1353i | 0.123123 | + | 0.397538i | ||||
\(651\) | 2.21716 | + | 9.86750i | 0.0868974 | + | 0.386738i | ||||
\(652\) | 0.771116 | − | 4.86864i | 0.0301992 | − | 0.190671i | ||||
\(653\) | −11.3587 | − | 22.2926i | −0.444499 | − | 0.872379i | −0.999187 | − | 0.0403201i | \(-0.987162\pi\) |
0.554688 | − | 0.832059i | \(-0.312838\pi\) | |||||||
\(654\) | 17.3766 | + | 1.62309i | 0.679477 | + | 0.0634679i | ||||
\(655\) | −12.0211 | − | 24.0011i | −0.469703 | − | 0.937802i | ||||
\(656\) | −1.11927 | + | 0.363674i | −0.0437003 | + | 0.0141991i | ||||
\(657\) | −9.02373 | + | 25.2402i | −0.352049 | + | 0.984714i | ||||
\(658\) | 20.6236 | − | 40.4762i | 0.803993 | − | 1.57793i | ||||
\(659\) | −20.1677 | − | 14.6527i | −0.785623 | − | 0.570789i | 0.121038 | − | 0.992648i | \(-0.461378\pi\) |
−0.906661 | + | 0.421859i | \(0.861378\pi\) | |||||||
\(660\) | 12.5544 | + | 5.51939i | 0.488679 | + | 0.214842i | ||||
\(661\) | −17.0562 | + | 12.3921i | −0.663411 | + | 0.481996i | −0.867813 | − | 0.496891i | \(-0.834475\pi\) |
0.204402 | + | 0.978887i | \(0.434475\pi\) | |||||||
\(662\) | 1.13607 | + | 7.17284i | 0.0441545 | + | 0.278780i | ||||
\(663\) | 1.42283 | + | 3.58204i | 0.0552583 | + | 0.139115i | ||||
\(664\) | 6.31204 | + | 8.68777i | 0.244955 | + | 0.337151i | ||||
\(665\) | 41.4011 | + | 13.7689i | 1.60547 | + | 0.533935i | ||||
\(666\) | −0.602805 | + | 3.19861i | −0.0233582 | + | 0.123944i | ||||
\(667\) | 19.3154 | + | 9.84171i | 0.747897 | + | 0.381072i | ||||
\(668\) | 5.82145 | − | 5.82145i | 0.225239 | − | 0.225239i | ||||
\(669\) | −9.40560 | − | 15.8637i | −0.363641 | − | 0.613328i | ||||
\(670\) | −9.57462 | + | 18.4747i | −0.369900 | + | 0.713738i | ||||
\(671\) | 4.55020 | + | 1.47845i | 0.175659 | + | 0.0570750i | ||||
\(672\) | −4.34665 | − | 5.24232i | −0.167676 | − | 0.202227i | ||||
\(673\) | 11.5267 | + | 1.82565i | 0.444321 | + | 0.0703736i | 0.374586 | − | 0.927192i | \(-0.377785\pi\) |
0.0697348 | + | 0.997566i | \(0.477785\pi\) | |||||||
\(674\) | 25.4632 | 0.980806 | ||||||||
\(675\) | 17.9826 | − | 18.7517i | 0.692150 | − | 0.721754i | ||||
\(676\) | 8.49691 | 0.326804 | ||||||||
\(677\) | 23.2090 | + | 3.67594i | 0.891993 | + | 0.141278i | 0.585574 | − | 0.810619i | \(-0.300869\pi\) |
0.306419 | + | 0.951897i | \(0.400869\pi\) | |||||||
\(678\) | 4.15998 | + | 5.01719i | 0.159763 | + | 0.192684i | ||||
\(679\) | 59.5978 | + | 19.3645i | 2.28715 | + | 0.743142i | ||||
\(680\) | 1.64655 | + | 1.66946i | 0.0631425 | + | 0.0640209i | ||||
\(681\) | −1.21838 | − | 2.05495i | −0.0466884 | − | 0.0787459i | ||||
\(682\) | 3.71848 | − | 3.71848i | 0.142388 | − | 0.142388i | ||||
\(683\) | −15.4895 | − | 7.89232i | −0.592691 | − | 0.301991i | 0.131799 | − | 0.991276i | \(-0.457925\pi\) |
−0.724490 | + | 0.689285i | \(0.757925\pi\) | |||||||
\(684\) | 2.75729 | − | 14.6308i | 0.105427 | − | 0.559421i | ||||
\(685\) | 17.9157 | − | 5.68465i | 0.684523 | − | 0.217199i | ||||
\(686\) | 3.37046 | + | 4.63905i | 0.128685 | + | 0.177120i | ||||
\(687\) | 10.6133 | + | 26.7195i | 0.404924 | + | 1.01941i | ||||
\(688\) | −1.82522 | − | 11.5240i | −0.0695859 | − | 0.439348i | ||||
\(689\) | −7.31630 | + | 5.31560i | −0.278729 | + | 0.202508i | ||||
\(690\) | 15.2326 | + | 26.1010i | 0.579893 | + | 0.993646i | ||||
\(691\) | 3.69930 | + | 2.68770i | 0.140728 | + | 0.102245i | 0.655922 | − | 0.754829i | \(-0.272280\pi\) |
−0.515194 | + | 0.857074i | \(0.672280\pi\) | |||||||
\(692\) | −2.07127 | + | 4.06510i | −0.0787380 | + | 0.154532i | ||||
\(693\) | −14.0605 | + | 39.3284i | −0.534113 | + | 1.49396i | ||||
\(694\) | −4.36272 | + | 1.41754i | −0.165607 | + | 0.0538089i | ||||
\(695\) | 4.24173 | − | 4.18354i | 0.160898 | − | 0.158691i | ||||
\(696\) | 4.79114 | + | 0.447526i | 0.181608 | + | 0.0169634i | ||||
\(697\) | 0.560278 | + | 1.09961i | 0.0212220 | + | 0.0416506i | ||||
\(698\) | 1.58650 | − | 10.0167i | 0.0600498 | − | 0.379139i | ||||
\(699\) | −9.42614 | − | 41.9511i | −0.356529 | − | 1.58674i | ||||
\(700\) | −14.0914 | + | 13.7074i | −0.532606 | + | 0.518090i | ||||
\(701\) | − | 44.4087i | − | 1.67729i | −0.544676 | − | 0.838646i | \(-0.683348\pi\) | ||
0.544676 | − | 0.838646i | \(-0.316652\pi\) | |||||||
\(702\) | 5.34423 | + | 9.64482i | 0.201705 | + | 0.364020i | ||||
\(703\) | 4.79760 | − | 2.44450i | 0.180945 | − | 0.0921960i | ||||
\(704\) | −1.09422 | + | 3.36766i | −0.0412399 | + | 0.126923i | ||||
\(705\) | −11.3796 | + | 43.2777i | −0.428581 | + | 1.62993i | ||||
\(706\) | 3.77806 | + | 11.6277i | 0.142189 | + | 0.437614i | ||||
\(707\) | −7.74297 | − | 7.74297i | −0.291204 | − | 0.291204i | ||||
\(708\) | −2.70929 | + | 10.6009i | −0.101821 | + | 0.398405i | ||||
\(709\) | −10.6950 | + | 14.7204i | −0.401659 | + | 0.552836i | −0.961159 | − | 0.275994i | \(-0.910993\pi\) |
0.559500 | + | 0.828830i | \(0.310993\pi\) | |||||||
\(710\) | 1.83853 | − | 5.52819i | 0.0689988 | − | 0.207469i | ||||
\(711\) | 21.8555 | − | 39.9652i | 0.819647 | − | 1.49881i | ||||
\(712\) | 2.61410 | − | 0.414033i | 0.0979675 | − | 0.0155165i | ||||
\(713\) | 11.4456 | − | 1.81280i | 0.428640 | − | 0.0678900i | ||||
\(714\) | −4.71660 | + | 5.36193i | −0.176514 | + | 0.200665i | ||||
\(715\) | 13.5246 | + | 9.96964i | 0.505791 | + | 0.372844i | ||||
\(716\) | 6.68853 | − | 9.20597i | 0.249962 | − | 0.344043i | ||||
\(717\) | 39.8666 | + | 10.1888i | 1.48885 | + | 0.380508i | ||||
\(718\) | 23.9500 | + | 23.9500i | 0.893807 | + | 0.893807i | ||||
\(719\) | −7.53117 | − | 23.1785i | −0.280865 | − | 0.864414i | −0.987608 | − | 0.156943i | \(-0.949836\pi\) |
0.706743 | − | 0.707471i | \(-0.250164\pi\) | |||||||
\(720\) | 5.28120 | + | 4.13629i | 0.196819 | + | 0.154151i | ||||
\(721\) | 13.6089 | − | 41.8838i | 0.506821 | − | 1.55984i | ||||
\(722\) | −5.01554 | + | 2.55554i | −0.186659 | + | 0.0951075i | ||||
\(723\) | −0.699175 | − | 10.9195i | −0.0260026 | − | 0.406099i | ||||
\(724\) | 6.52939i | 0.242663i | ||||||||
\(725\) | 0.191892 | − | 13.8897i | 0.00712670 | − | 0.515851i | ||||
\(726\) | 2.59982 | − | 0.584163i | 0.0964885 | − | 0.0216803i | ||||
\(727\) | −7.37431 | + | 46.5595i | −0.273498 | + | 1.72680i | 0.342907 | + | 0.939369i | \(0.388588\pi\) |
−0.616405 | + | 0.787429i | \(0.711412\pi\) | |||||||
\(728\) | −3.78778 | − | 7.43394i | −0.140385 | − | 0.275520i | ||||
\(729\) | 14.3150 | − | 22.8928i | 0.530186 | − | 0.847881i | ||||
\(730\) | −3.26164 | + | 19.7111i | −0.120719 | + | 0.729539i | ||||
\(731\) | −11.6363 | + | 3.78088i | −0.430385 | + | 0.139841i | ||||
\(732\) | 1.97734 | + | 1.25178i | 0.0730845 | + | 0.0462670i | ||||
\(733\) | 21.4583 | − | 42.1144i | 0.792582 | − | 1.55553i | −0.0384204 | − | 0.999262i | \(-0.512233\pi\) |
0.831003 | − | 0.556268i | \(-0.187767\pi\) | |||||||
\(734\) | 3.84568 | + | 2.79405i | 0.141947 | + | 0.103130i | ||||
\(735\) | −24.4472 | − | 21.8062i | −0.901749 | − | 0.804335i | ||||
\(736\) | −6.31272 | + | 4.58646i | −0.232690 | + | 0.169059i | ||||
\(737\) | 5.15473 | + | 32.5457i | 0.189877 | + | 1.19884i | ||||
\(738\) | 1.99099 | + | 2.91569i | 0.0732892 | + | 0.107328i | ||||
\(739\) | −14.8135 | − | 20.3891i | −0.544925 | − | 0.750025i | 0.444388 | − | 0.895835i | \(-0.353421\pi\) |
−0.989313 | + | 0.145810i | \(0.953421\pi\) | |||||||
\(740\) | −0.0167574 | + | 2.42601i | −0.000616015 | + | 0.0891821i | ||||
\(741\) | 7.22562 | − | 16.7485i | 0.265440 | − | 0.615270i | ||||
\(742\) | −14.9294 | − | 7.60691i | −0.548075 | − | 0.279258i | ||||
\(743\) | −35.5509 | + | 35.5509i | −1.30424 | + | 1.30424i | −0.378730 | + | 0.925507i | \(0.623639\pi\) |
−0.925507 | + | 0.378730i | \(0.876361\pi\) | |||||||
\(744\) | 2.21262 | − | 1.31186i | 0.0811186 | − | 0.0480952i | ||||
\(745\) | −5.07746 | − | 33.5563i | −0.186024 | − | 1.22941i | ||||
\(746\) | −35.7760 | − | 11.6243i | −1.30985 | − | 0.425597i | ||||
\(747\) | 19.6888 | − | 25.4995i | 0.720376 | − | 0.932977i | ||||
\(748\) | 3.66749 | + | 0.580873i | 0.134097 | + | 0.0212388i | ||||
\(749\) | 19.9226 | 0.727958 | ||||||||
\(750\) | 10.6949 | − | 16.1437i | 0.390521 | − | 0.589485i | ||||
\(751\) | 13.6190 | 0.496964 | 0.248482 | − | 0.968636i | \(-0.420068\pi\) | ||||
0.248482 | + | 0.968636i | \(0.420068\pi\) | |||||||
\(752\) | −11.4118 | − | 1.80746i | −0.416147 | − | 0.0659112i | ||||
\(753\) | −18.4406 | + | 15.2899i | −0.672013 | + | 0.557197i | ||||
\(754\) | 5.60695 | + | 1.82181i | 0.204193 | + | 0.0663463i | ||||
\(755\) | −4.38172 | − | 28.9583i | −0.159467 | − | 1.05390i | ||||
\(756\) | −11.4269 | + | 16.9353i | −0.415592 | + | 0.615931i | ||||
\(757\) | 18.1299 | − | 18.1299i | 0.658942 | − | 0.658942i | −0.296188 | − | 0.955130i | \(-0.595715\pi\) |
0.955130 | + | 0.296188i | \(0.0957154\pi\) | |||||||
\(758\) | −14.4898 | − | 7.38292i | −0.526293 | − | 0.268160i | ||||
\(759\) | 43.9416 | + | 18.9573i | 1.59498 | + | 0.688107i | ||||
\(760\) | 0.0766500 | − | 11.0968i | 0.00278039 | − | 0.402524i | ||||
\(761\) | 20.5807 | + | 28.3270i | 0.746052 | + | 1.02685i | 0.998248 | + | 0.0591757i | \(0.0188472\pi\) |
−0.252196 | + | 0.967676i | \(0.581153\pi\) | |||||||
\(762\) | −30.8614 | + | 12.2586i | −1.11799 | + | 0.444081i | ||||
\(763\) | 6.19733 | + | 39.1284i | 0.224358 | + | 1.41654i | ||||
\(764\) | −0.481552 | + | 0.349868i | −0.0174219 | + | 0.0126578i | ||||
\(765\) | 3.41774 | − | 6.14843i | 0.123569 | − | 0.222297i | ||||
\(766\) | −25.6681 | − | 18.6490i | −0.927426 | − | 0.673814i | ||||
\(767\) | −6.08587 | + | 11.9442i | −0.219748 | + | 0.431280i | ||||
\(768\) | −0.926454 | + | 1.46345i | −0.0334305 | + | 0.0528077i | ||||
\(769\) | −23.9043 | + | 7.76696i | −0.862010 | + | 0.280084i | −0.706468 | − | 0.707745i | \(-0.749712\pi\) |
−0.155542 | + | 0.987829i | \(0.549712\pi\) | |||||||
\(770\) | −5.08218 | + | 30.7131i | −0.183149 | + | 1.10682i | ||||
\(771\) | 2.96048 | − | 31.6944i | 0.106619 | − | 1.14145i | ||||
\(772\) | −10.0023 | − | 19.6306i | −0.359991 | − | 0.706522i | ||||
\(773\) | −4.41320 | + | 27.8639i | −0.158732 | + | 1.00219i | 0.771769 | + | 0.635903i | \(0.219372\pi\) |
−0.930501 | + | 0.366290i | \(0.880628\pi\) | |||||||
\(774\) | −31.6384 | + | 14.9739i | −1.13722 | + | 0.538224i | ||||
\(775\) | −4.28123 | − | 6.06712i | −0.153786 | − | 0.217938i | ||||
\(776\) | − | 15.9383i | − | 0.572151i | ||||||
\(777\) | −7.37350 | + | 0.472127i | −0.264523 | + | 0.0169375i | ||||
\(778\) | 9.83601 | − | 5.01170i | 0.352638 | − | 0.179678i | ||||
\(779\) | 1.80483 | − | 5.55469i | 0.0646647 | − | 0.199018i | ||||
\(780\) | 5.20198 | + | 6.36284i | 0.186261 | + | 0.227826i | ||||
\(781\) | −2.85090 | − | 8.77417i | −0.102013 | − | 0.313964i | ||||
\(782\) | 5.78590 | + | 5.78590i | 0.206903 | + | 0.206903i | ||||
\(783\) | −2.75229 | − | 14.1712i | −0.0983587 | − | 0.506437i | ||||
\(784\) | 4.97175 | − | 6.84302i | 0.177562 | − | 0.244394i | ||||
\(785\) | 15.6048 | + | 11.5031i | 0.556959 | + | 0.410562i | ||||
\(786\) | −15.6121 | − | 13.7331i | −0.556865 | − | 0.489844i | ||||
\(787\) | 1.75927 | − | 0.278640i | 0.0627111 | − | 0.00993245i | −0.125000 | − | 0.992157i | \(-0.539893\pi\) |
0.187711 | + | 0.982224i | \(0.439893\pi\) | |||||||
\(788\) | 2.78623 | − | 0.441295i | 0.0992553 | − | 0.0157205i | ||||
\(789\) | 11.4659 | + | 10.0860i | 0.408198 | + | 0.359070i | ||||
\(790\) | 10.7144 | − | 32.2166i | 0.381201 | − | 1.14622i | ||||
\(791\) | −8.69603 | + | 11.9691i | −0.309195 | + | 0.425571i | ||||
\(792\) | 10.6184 | + | 0.310079i | 0.377307 | + | 0.0110182i | ||||
\(793\) | 2.02742 | + | 2.02742i | 0.0719957 | + | 0.0719957i | ||||
\(794\) | 4.61434 | + | 14.2015i | 0.163757 | + | 0.503991i | ||||
\(795\) | 15.9627 | + | 4.19730i | 0.566139 | + | 0.148863i | ||||
\(796\) | 3.23939 | − | 9.96982i | 0.114817 | − | 0.353371i | ||||
\(797\) | −36.0903 | + | 18.3889i | −1.27839 | + | 0.651370i | −0.955478 | − | 0.295061i | \(-0.904660\pi\) |
−0.322907 | + | 0.946431i | \(0.604660\pi\) | |||||||
\(798\) | 33.7271 | − | 2.15955i | 1.19393 | − | 0.0764473i | ||||
\(799\) | 12.1161i | 0.428636i | ||||||||
\(800\) | 4.42325 | + | 2.33128i | 0.156386 | + | 0.0824231i | ||||
\(801\) | −3.39667 | − | 7.17684i | −0.120015 | − | 0.253581i | ||||
\(802\) | 1.99412 | − | 12.5904i | 0.0704147 | − | 0.444581i | ||||
\(803\) | 14.3635 | + | 28.1899i | 0.506876 | + | 0.994799i | ||||
\(804\) | −1.49901 | + | 16.0482i | −0.0528661 | + | 0.565976i | ||||
\(805\) | −48.8417 | + | 48.1716i | −1.72144 | + | 1.69783i | ||||
\(806\) | 2.99723 | − | 0.973861i | 0.105573 | − | 0.0343028i | ||||
\(807\) | 0.141435 | − | 0.223414i | 0.00497875 | − | 0.00786456i | ||||
\(808\) | −1.26441 | + | 2.48154i | −0.0444816 | + | 0.0873001i | ||||
\(809\) | 9.80668 | + | 7.12497i | 0.344784 | + | 0.250501i | 0.746678 | − | 0.665186i | \(-0.231648\pi\) |
−0.401893 | + | 0.915686i | \(0.631648\pi\) | |||||||
\(810\) | 7.45443 | − | 18.6931i | 0.261922 | − | 0.656808i | ||||
\(811\) | −34.3371 | + | 24.9474i | −1.20574 | + | 0.876020i | −0.994837 | − | 0.101487i | \(-0.967640\pi\) |
−0.210902 | + | 0.977507i | \(0.567640\pi\) | |||||||
\(812\) | 1.70876 | + | 10.7887i | 0.0599656 | + | 0.378608i | ||||
\(813\) | −19.7891 | + | 7.86049i | −0.694032 | + | 0.275679i | ||||
\(814\) | 2.25818 | + | 3.10812i | 0.0791493 | + | 0.108940i | ||||
\(815\) | −10.5061 | + | 3.33359i | −0.368013 | + | 0.116771i | ||||
\(816\) | 1.66772 | + | 0.719487i | 0.0583818 | + | 0.0251871i | ||||
\(817\) | 51.5927 | + | 26.2878i | 1.80500 | + | 0.919693i | ||||
\(818\) | −19.0319 | + | 19.0319i | −0.665434 | + | 0.665434i | ||||
\(819\) | −18.2079 | + | 17.1747i | −0.636236 | + | 0.600131i | ||||
\(820\) | 1.84790 | + | 1.87361i | 0.0645316 | + | 0.0654293i | ||||
\(821\) | −32.4922 | − | 10.5573i | −1.13398 | − | 0.368454i | −0.318896 | − | 0.947790i | \(-0.603312\pi\) |
−0.815089 | + | 0.579336i | \(0.803312\pi\) | |||||||
\(822\) | 11.2078 | − | 9.29288i | 0.390916 | − | 0.324126i | ||||
\(823\) | −0.223643 | − | 0.0354216i | −0.00779572 | − | 0.00123472i | 0.152535 | − | 0.988298i | \(-0.451256\pi\) |
−0.160331 | + | 0.987063i | \(0.551256\pi\) | |||||||
\(824\) | −11.2010 | −0.390206 | ||||||||
\(825\) | −1.53658 | − | 30.6271i | −0.0534967 | − | 1.06630i | ||||
\(826\) | −24.8372 | −0.864198 | ||||||||
\(827\) | 6.61308 | + | 1.04741i | 0.229959 | + | 0.0364220i | 0.270351 | − | 0.962762i | \(-0.412860\pi\) |
−0.0403912 | + | 0.999184i | \(0.512860\pi\) | |||||||
\(828\) | 18.5285 | + | 14.3063i | 0.643908 | + | 0.497179i | ||||
\(829\) | 33.2782 | + | 10.8127i | 1.15580 | + | 0.375542i | 0.823325 | − | 0.567570i | \(-0.192116\pi\) |
0.332475 | + | 0.943112i | \(0.392116\pi\) | |||||||
\(830\) | 11.0489 | − | 21.3194i | 0.383514 | − | 0.740008i | ||||
\(831\) | 6.48557 | − | 3.84529i | 0.224982 | − | 0.133392i | ||||
\(832\) | −1.50051 | + | 1.50051i | −0.0520210 | + | 0.0520210i | ||||
\(833\) | −7.90311 | − | 4.02683i | −0.273826 | − | 0.139522i | ||||
\(834\) | 1.82806 | − | 4.23731i | 0.0633005 | − | 0.146726i | ||||
\(835\) | −17.4683 | − | 5.80950i | −0.604516 | − | 0.201046i | ||||
\(836\) | −10.3291 | − | 14.2168i | −0.357241 | − | 0.491700i | ||||
\(837\) | −5.64293 | − | 5.26378i | −0.195048 | − | 0.181943i | ||||
\(838\) | −3.02247 | − | 19.0831i | −0.104410 | − | 0.659216i | ||||
\(839\) | 27.8283 | − | 20.2184i | 0.960739 | − | 0.698018i | 0.00741655 | − | 0.999972i | \(-0.497639\pi\) |
0.953322 | + | 0.301955i | \(0.0976392\pi\) | |||||||
\(840\) | −6.12847 | + | 13.9398i | −0.211452 | + | 0.480969i | ||||
\(841\) | 17.2171 | + | 12.5090i | 0.593695 | + | 0.431344i | ||||
\(842\) | −3.16961 | + | 6.22070i | −0.109232 | + | 0.214380i | ||||
\(843\) | 32.3836 | + | 20.5008i | 1.11535 | + | 0.706086i | ||||
\(844\) | 2.00972 | − | 0.652997i | 0.0691774 | − | 0.0224771i | ||||
\(845\) | −8.50853 | − | 16.9880i | −0.292702 | − | 0.584405i | ||||
\(846\) | 4.42074 | + | 34.3792i | 0.151988 | + | 1.18198i | ||||
\(847\) | 2.74605 | + | 5.38942i | 0.0943554 | + | 0.185183i | ||||
\(848\) | −0.666670 | + | 4.20919i | −0.0228935 | + | 0.144544i | ||||
\(849\) | 13.2109 | − | 2.96841i | 0.453398 | − | 0.101875i | ||||
\(850\) | 1.68897 | − | 4.96373i | 0.0579312 | − | 0.170254i | ||||
\(851\) | 8.46599i | 0.290210i | ||||||||
\(852\) | −0.288360 | − | 4.50350i | −0.00987905 | − | 0.154287i | ||||
\(853\) | −26.7503 | + | 13.6300i | −0.915914 | + | 0.466682i | −0.847392 | − | 0.530968i | \(-0.821828\pi\) |
−0.0685222 | + | 0.997650i | \(0.521828\pi\) | |||||||
\(854\) | −1.64160 | + | 5.05233i | −0.0561745 | + | 0.172887i | ||||
\(855\) | −32.0126 | + | 9.13808i | −1.09481 | + | 0.312516i | ||||
\(856\) | −1.56584 | − | 4.81915i | −0.0535192 | − | 0.164715i | ||||
\(857\) | 4.67908 | + | 4.67908i | 0.159834 | + | 0.159834i | 0.782493 | − | 0.622659i | \(-0.213948\pi\) |
−0.622659 | + | 0.782493i | \(0.713948\pi\) | |||||||
\(858\) | 12.6095 | + | 3.22264i | 0.430481 | + | 0.110019i | ||||
\(859\) | 10.4601 | − | 14.3971i | 0.356895 | − | 0.491224i | −0.592385 | − | 0.805655i | \(-0.701814\pi\) |
0.949280 | + | 0.314431i | \(0.101814\pi\) | |||||||
\(860\) | −21.2124 | + | 15.1890i | −0.723336 | + | 0.517939i | ||||
\(861\) | −5.29336 | + | 6.01760i | −0.180397 | + | 0.205079i | ||||
\(862\) | −11.9173 | + | 1.88752i | −0.405906 | + | 0.0642892i | ||||
\(863\) | 39.7649 | − | 6.29813i | 1.35361 | − | 0.214391i | 0.562872 | − | 0.826544i | \(-0.309696\pi\) |
0.790739 | + | 0.612153i | \(0.209696\pi\) | |||||||
\(864\) | 4.99464 | + | 1.43304i | 0.169921 | + | 0.0487530i | ||||
\(865\) | 10.2015 | + | 0.0704659i | 0.346862 | + | 0.00239591i | ||||
\(866\) | 14.3388 | − | 19.7357i | 0.487254 | − | 0.670647i | ||||
\(867\) | −6.81933 | + | 26.6826i | −0.231597 | + | 0.906188i | ||||
\(868\) | 4.12883 | + | 4.12883i | 0.140142 | + | 0.140142i | ||||
\(869\) | −16.6142 | − | 51.1332i | −0.563598 | − | 1.73458i | ||||
\(870\) | −3.90295 | − | 10.0271i | −0.132322 | − | 0.339952i | ||||
\(871\) | −6.10224 | + | 18.7808i | −0.206767 | + | 0.636362i | ||||
\(872\) | 8.97781 | − | 4.57442i | 0.304027 | − | 0.154909i | ||||
\(873\) | −45.8865 | + | 13.4419i | −1.55302 | + | 0.454940i | ||||
\(874\) | − | 38.7242i | − | 1.30987i | ||||||
\(875\) | 41.5161 | + | 14.4471i | 1.40350 | + | 0.488401i | ||||
\(876\) | 3.39271 | + | 15.0993i | 0.114629 | + | 0.510157i | ||||
\(877\) | 5.43919 | − | 34.3417i | 0.183668 | − | 1.15964i | −0.707753 | − | 0.706460i | \(-0.750291\pi\) |
0.891421 | − | 0.453176i | \(-0.149709\pi\) | |||||||
\(878\) | 3.36553 | + | 6.60523i | 0.113581 | + | 0.222916i | ||||
\(879\) | 13.8862 | + | 1.29707i | 0.468370 | + | 0.0437490i | ||||
\(880\) | 7.82873 | − | 1.18458i | 0.263906 | − | 0.0399321i | ||||
\(881\) | 23.3423 | − | 7.58438i | 0.786423 | − | 0.255524i | 0.111843 | − | 0.993726i | \(-0.464325\pi\) |
0.674580 | + | 0.738202i | \(0.264325\pi\) | |||||||
\(882\) | −23.8942 | − | 8.54251i | −0.804559 | − | 0.287641i | ||||
\(883\) | −10.4732 | + | 20.5549i | −0.352452 | + | 0.691726i | −0.997366 | − | 0.0725286i | \(-0.976893\pi\) |
0.644914 | + | 0.764255i | \(0.276893\pi\) | |||||||
\(884\) | 1.80028 | + | 1.30798i | 0.0605499 | + | 0.0439921i | ||||
\(885\) | 23.9075 | − | 5.19865i | 0.803642 | − | 0.174751i | ||||
\(886\) | −0.588493 | + | 0.427565i | −0.0197708 | + | 0.0143643i | ||||
\(887\) | −8.06436 | − | 50.9164i | −0.270775 | − | 1.70960i | −0.630202 | − | 0.776431i | \(-0.717028\pi\) |
0.359428 | − | 0.933173i | \(-0.382972\pi\) | |||||||
\(888\) | 0.693731 | + | 1.74649i | 0.0232801 | + | 0.0586084i | ||||
\(889\) | −44.3067 | − | 60.9829i | −1.48600 | − | 2.04530i | ||||
\(890\) | −3.44546 | − | 4.81181i | −0.115492 | − | 0.161292i | ||||
\(891\) | −8.06252 | − | 30.8319i | −0.270105 | − | 1.03291i | ||||
\(892\) | −9.48721 | − | 4.83398i | −0.317655 | − | 0.161854i | ||||
\(893\) | 40.5457 | − | 40.5457i | 1.35681 | − | 1.35681i | ||||
\(894\) | −13.4071 | − | 22.6127i | −0.448399 | − | 0.756283i | ||||
\(895\) | −25.1033 | − | 4.15392i | −0.839112 | − | 0.138850i | ||||
\(896\) | −3.73929 | − | 1.21497i | −0.124921 | − | 0.0405893i | ||||
\(897\) | 18.3057 | + | 22.0778i | 0.611209 | + | 0.737155i | ||||
\(898\) | −29.3299 | − | 4.64540i | −0.978752 | − | 0.155019i | ||||
\(899\) | −4.12595 | −0.137608 | ||||||||
\(900\) | 2.98133 | − | 14.7007i | 0.0993778 | − | 0.490025i | ||||
\(901\) | 4.46895 | 0.148882 | ||||||||
\(902\) | 4.11596 | + | 0.651904i | 0.137047 | + | 0.0217060i | ||||
\(903\) | −50.7151 | − | 61.1656i | −1.68769 | − | 2.03546i | ||||
\(904\) | 3.57871 | + | 1.16279i | 0.119026 | + | 0.0386739i | ||||
\(905\) | 13.0543 | − | 6.53832i | 0.433940 | − | 0.217341i | ||||
\(906\) | −11.5700 | − | 19.5142i | −0.384386 | − | 0.648316i | ||||
\(907\) | −34.2493 | + | 34.2493i | −1.13723 | + | 1.13723i | −0.148284 | + | 0.988945i | \(0.547375\pi\) |
−0.988945 | + | 0.148284i | \(0.952625\pi\) | |||||||
\(908\) | −1.22895 | − | 0.626182i | −0.0407842 | − | 0.0207806i | ||||
\(909\) | 8.21074 | + | 1.54738i | 0.272333 | + | 0.0513234i | ||||
\(910\) | −11.0698 | + | 15.0171i | −0.366961 | + | 0.497811i | ||||
\(911\) | 28.4251 | + | 39.1238i | 0.941766 | + | 1.29623i | 0.955089 | + | 0.296318i | \(0.0957590\pi\) |
−0.0133232 | + | 0.999911i | \(0.504241\pi\) | |||||||
\(912\) | −3.17319 | − | 7.98862i | −0.105075 | − | 0.264530i | ||||
\(913\) | −5.94847 | − | 37.5571i | −0.196865 | − | 1.24296i | ||||
\(914\) | 3.06979 | − | 2.23033i | 0.101540 | − | 0.0737728i | ||||
\(915\) | 0.522655 | − | 5.20681i | 0.0172784 | − | 0.172132i | ||||
\(916\) | 13.4288 | + | 9.75661i | 0.443701 | + | 0.322367i | ||||
\(917\) | 21.4279 | − | 42.0547i | 0.707612 | − | 1.38877i | ||||
\(918\) | 0.664905 | − | 5.40818i | 0.0219452 | − | 0.178496i | ||||
\(919\) | 2.05593 | − | 0.668012i | 0.0678189 | − | 0.0220357i | −0.274911 | − | 0.961470i | \(-0.588648\pi\) |
0.342730 | + | 0.939434i | \(0.388648\pi\) | |||||||
\(920\) | 15.4911 | + | 8.02839i | 0.510728 | + | 0.264688i | ||||
\(921\) | −16.0439 | − | 1.49861i | −0.528665 | − | 0.0493810i | ||||
\(922\) | −5.16070 | − | 10.1285i | −0.169959 | − | 0.333563i | ||||
\(923\) | 0.864900 | − | 5.46076i | 0.0284685 | − | 0.179743i | ||||
\(924\) | 5.28640 | + | 23.5272i | 0.173910 | + | 0.773987i | ||||
\(925\) | 4.86715 | − | 2.39583i | 0.160031 | − | 0.0787744i | ||||
\(926\) | 14.0652i | 0.462212i | ||||||||
\(927\) | 9.44663 | + | 32.2479i | 0.310268 | + | 1.05916i | ||||
\(928\) | 2.47540 | − | 1.26128i | 0.0812591 | − | 0.0414036i | ||||
\(929\) | −0.0671055 | + | 0.206530i | −0.00220166 | + | 0.00677602i | −0.952151 | − | 0.305627i | \(-0.901134\pi\) |
0.949950 | + | 0.312403i | \(0.101134\pi\) | |||||||
\(930\) | −4.83847 | − | 3.11007i | −0.158660 | − | 0.101983i | ||||
\(931\) | 12.9717 | + | 39.9228i | 0.425130 | + | 1.30842i | ||||
\(932\) | −17.5535 | − | 17.5535i | −0.574984 | − | 0.574984i | ||||
\(933\) | 4.88550 | − | 19.1159i | 0.159944 | − | 0.625826i | ||||
\(934\) | −2.63135 | + | 3.62175i | −0.0861006 | + | 0.118507i | ||||
\(935\) | −2.51115 | − | 7.91413i | −0.0821235 | − | 0.258820i | ||||
\(936\) | 5.58550 | + | 3.05451i | 0.182568 | + | 0.0998398i | ||||
\(937\) | −14.9705 | + | 2.37109i | −0.489065 | + | 0.0774603i | −0.396097 | − | 0.918209i | \(-0.629635\pi\) |
−0.0929682 | + | 0.995669i | \(0.529635\pi\) | |||||||
\(938\) | −36.1372 | + | 5.72357i | −1.17992 | + | 0.186881i | ||||
\(939\) | −27.3784 | + | 31.1244i | −0.893462 | + | 1.01571i | ||||
\(940\) | 7.81377 | + | 24.6258i | 0.254857 | + | 0.803205i | ||||
\(941\) | −17.7384 | + | 24.4148i | −0.578256 | + | 0.795901i | −0.993503 | − | 0.113808i | \(-0.963695\pi\) |
0.415247 | + | 0.909709i | \(0.363695\pi\) | |||||||
\(942\) | 14.5490 | + | 3.71831i | 0.474031 | + | 0.121149i | ||||
\(943\) | 6.49342 | + | 6.49342i | 0.211455 | + | 0.211455i | ||||
\(944\) | 1.95210 | + | 6.00796i | 0.0635356 | + | 0.195542i | ||||
\(945\) | 45.3015 | + | 5.88748i | 1.47366 | + | 0.191520i | ||||
\(946\) | −12.7670 | + | 39.2926i | −0.415089 | + | 1.27751i | ||||
\(947\) | −15.9210 | + | 8.11213i | −0.517362 | + | 0.263609i | −0.693117 | − | 0.720825i | \(-0.743763\pi\) |
0.175756 | + | 0.984434i | \(0.443763\pi\) | |||||||
\(948\) | −1.68048 | − | 26.2450i | −0.0545793 | − | 0.852399i | ||||
\(949\) | 18.9603i | 0.615479i | ||||||||
\(950\) | −22.2628 | + | 10.9588i | −0.722301 | + | 0.355549i | ||||
\(951\) | −22.6757 | + | 5.09509i | −0.735311 | + | 0.165220i | ||||
\(952\) | −0.644974 | + | 4.07220i | −0.0209037 | + | 0.131981i | ||||
\(953\) | 15.1784 | + | 29.7892i | 0.491676 | + | 0.964968i | 0.994905 | + | 0.100815i | \(0.0321450\pi\) |
−0.503230 | + | 0.864153i | \(0.667855\pi\) | |||||||
\(954\) | 12.6806 | − | 1.63056i | 0.410549 | − | 0.0527914i | ||||
\(955\) | 1.18171 | + | 0.612427i | 0.0382391 | + | 0.0198177i | ||||
\(956\) | 22.5941 | − | 7.34126i | 0.730744 | − | 0.237433i | ||||
\(957\) | −14.3967 | − | 9.11403i | −0.465380 | − | 0.294615i | ||||
\(958\) | 13.7500 | − | 26.9860i | 0.444244 | − | 0.871877i | ||||
\(959\) | 26.7374 | + | 19.4259i | 0.863396 | + | 0.627294i | ||||
\(960\) | 3.85362 | + | 0.386823i | 0.124375 | + | 0.0124846i | ||||
\(961\) | 23.2952 | − | 16.9249i | 0.751458 | − | 0.545966i | ||||
\(962\) | 0.360169 | + | 2.27402i | 0.0116123 | + | 0.0733173i | ||||
\(963\) | −12.5538 | + | 8.57241i | −0.404541 | + | 0.276242i | ||||
\(964\) | −3.71319 | − | 5.11077i | −0.119594 | − | 0.164607i | ||||
\(965\) | −29.2318 | + | 39.6552i | −0.941006 | + | 1.27655i | ||||
\(966\) | −21.0493 | + | 48.7907i | −0.677250 | + | 1.56982i | ||||
\(967\) | −24.4672 | − | 12.4667i | −0.786814 | − | 0.400902i | 0.0139344 | − | 0.999903i | \(-0.495564\pi\) |
−0.800748 | + | 0.599001i | \(0.795564\pi\) | |||||||
\(968\) | 1.08784 | − | 1.08784i | 0.0349644 | − | 0.0349644i | ||||
\(969\) | −7.75352 | + | 4.59705i | −0.249079 | + | 0.147679i | ||||
\(970\) | −31.8656 | + | 15.9601i | −1.02314 | + | 0.512447i | ||||
\(971\) | 53.0240 | + | 17.2285i | 1.70162 | + | 0.552890i | 0.988903 | − | 0.148560i | \(-0.0474637\pi\) |
0.712718 | + | 0.701450i | \(0.247464\pi\) | |||||||
\(972\) | −0.0865973 | − | 15.5882i | −0.00277761 | − | 0.499992i | ||||
\(973\) | 10.3466 | + | 1.63874i | 0.331696 | + | 0.0525355i | ||||
\(974\) | 0.555561 | 0.0178013 | ||||||||
\(975\) | 7.51224 | − | 16.7719i | 0.240584 | − | 0.537132i | ||||
\(976\) | 1.35115 | 0.0432492 | ||||||||
\(977\) | 41.8568 | + | 6.62946i | 1.33912 | + | 0.212095i | 0.784561 | − | 0.620051i | \(-0.212888\pi\) |
0.554556 | + | 0.832147i | \(0.312888\pi\) | |||||||
\(978\) | −6.57247 | + | 5.44953i | −0.210164 | + | 0.174257i | ||||
\(979\) | −8.91312 | − | 2.89605i | −0.284865 | − | 0.0925582i | ||||
\(980\) | −18.6599 | − | 3.08771i | −0.596069 | − | 0.0986332i | ||||
\(981\) | −20.7415 | − | 21.9893i | −0.662224 | − | 0.702064i | ||||
\(982\) | 4.47973 | − | 4.47973i | 0.142954 | − | 0.142954i | ||||
\(983\) | 36.2358 | + | 18.4631i | 1.15574 | + | 0.588880i | 0.923432 | − | 0.383761i | \(-0.125372\pi\) |
0.232310 | + | 0.972642i | \(0.425372\pi\) | |||||||
\(984\) | 1.87165 | + | 0.807469i | 0.0596661 | + | 0.0257412i | ||||
\(985\) | −3.67233 | − | 5.12865i | −0.117010 | − | 0.163412i | ||||
\(986\) | −1.71242 | − | 2.35694i | −0.0545346 | − | 0.0750604i | ||||
\(987\) | −73.1251 | + | 29.0463i | −2.32760 | + | 0.924554i | ||||
\(988\) | −1.64745 | − | 10.4016i | −0.0524123 | − | 0.330918i | ||||
\(989\) | −73.6546 | + | 53.5132i | −2.34208 | + | 1.70162i | ||||
\(990\) | −10.0129 | − | 21.5400i | −0.318232 | − | 0.684585i | ||||
\(991\) | 8.75570 | + | 6.36139i | 0.278134 | + | 0.202076i | 0.718103 | − | 0.695937i | \(-0.245011\pi\) |
−0.439969 | + | 0.898013i | \(0.645011\pi\) | |||||||
\(992\) | 0.674227 | − | 1.32324i | 0.0214067 | − | 0.0420130i | ||||
\(993\) | 6.72814 | − | 10.6279i | 0.213511 | − | 0.337267i | ||||
\(994\) | 9.74243 | − | 3.16551i | 0.309011 | − | 0.100404i | ||||
\(995\) | −23.1766 | + | 3.50689i | −0.734749 | + | 0.111176i | ||||
\(996\) | 1.72983 | − | 18.5193i | 0.0548119 | − | 0.586807i | ||||
\(997\) | 1.54339 | + | 3.02908i | 0.0488797 | + | 0.0959319i | 0.914154 | − | 0.405366i | \(-0.132856\pi\) |
−0.865275 | + | 0.501298i | \(0.832856\pi\) | |||||||
\(998\) | 4.11429 | − | 25.9766i | 0.130236 | − | 0.822275i | ||||
\(999\) | 4.44310 | − | 3.47020i | 0.140574 | − | 0.109792i |
(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 | 150.2.l.a.23.4 | ✓ | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.23.7 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.c.407.10 | 80 | |||
5.3 | odd | 4 | 750.2.l.a.407.1 | 80 | |||
5.4 | even | 2 | 750.2.l.b.593.7 | 80 | |||
15.2 | even | 4 | 750.2.l.c.407.1 | 80 | |||
15.8 | even | 4 | 750.2.l.a.407.10 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.593.4 | 80 | |||
25.9 | even | 10 | 750.2.l.a.293.10 | 80 | |||
25.12 | odd | 20 | inner | 150.2.l.a.137.7 | yes | 80 | |
25.13 | odd | 20 | 750.2.l.b.707.4 | 80 | |||
25.16 | even | 5 | 750.2.l.c.293.1 | 80 | |||
75.38 | even | 20 | 750.2.l.b.707.7 | 80 | |||
75.41 | odd | 10 | 750.2.l.c.293.10 | 80 | |||
75.59 | odd | 10 | 750.2.l.a.293.1 | 80 | |||
75.62 | even | 20 | inner | 150.2.l.a.137.4 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.23.4 | ✓ | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.23.7 | yes | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.137.4 | yes | 80 | 75.62 | even | 20 | inner | |
150.2.l.a.137.7 | yes | 80 | 25.12 | odd | 20 | inner | |
750.2.l.a.293.1 | 80 | 75.59 | odd | 10 | |||
750.2.l.a.293.10 | 80 | 25.9 | even | 10 | |||
750.2.l.a.407.1 | 80 | 5.3 | odd | 4 | |||
750.2.l.a.407.10 | 80 | 15.8 | even | 4 | |||
750.2.l.b.593.4 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.593.7 | 80 | 5.4 | even | 2 | |||
750.2.l.b.707.4 | 80 | 25.13 | odd | 20 | |||
750.2.l.b.707.7 | 80 | 75.38 | even | 20 | |||
750.2.l.c.293.1 | 80 | 25.16 | even | 5 | |||
750.2.l.c.293.10 | 80 | 75.41 | odd | 10 | |||
750.2.l.c.407.1 | 80 | 15.2 | even | 4 | |||
750.2.l.c.407.10 | 80 | 5.2 | odd | 4 |