Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Character | \(\chi\) | \(=\) | 273.19 |
Dual form | 273.2.cg.a.115.2 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53002 | − | 0.409967i | −1.08189 | − | 0.289890i | −0.326517 | − | 0.945191i | \(-0.605875\pi\) |
−0.755368 | + | 0.655301i | \(0.772542\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.440828 | + | 0.254512i | 0.220414 | + | 0.127256i | ||||
\(5\) | −3.63307 | + | 0.973479i | −1.62476 | + | 0.435353i | −0.952395 | − | 0.304866i | \(-0.901388\pi\) |
−0.672365 | + | 0.740219i | \(0.734722\pi\) | |||||||
\(6\) | −0.409967 | + | 1.53002i | −0.167368 | + | 0.624627i | ||||
\(7\) | −1.31124 | − | 2.29797i | −0.495601 | − | 0.868550i | ||||
\(8\) | 1.66997 | + | 1.66997i | 0.590423 | + | 0.590423i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 5.95776 | 1.88401 | ||||||||
\(11\) | 2.38426 | + | 2.38426i | 0.718881 | + | 0.718881i | 0.968376 | − | 0.249495i | \(-0.0802646\pi\) |
−0.249495 | + | 0.968376i | \(0.580265\pi\) | |||||||
\(12\) | 0.254512 | − | 0.440828i | 0.0734713 | − | 0.127256i | ||||
\(13\) | 3.03769 | + | 1.94228i | 0.842504 | + | 0.538690i | ||||
\(14\) | 1.06413 | + | 4.05349i | 0.284400 | + | 1.08334i | ||||
\(15\) | 0.973479 | + | 3.63307i | 0.251351 | + | 0.938056i | ||||
\(16\) | −2.37947 | − | 4.12137i | −0.594868 | − | 1.03034i | ||||
\(17\) | −1.66896 | + | 2.89072i | −0.404782 | + | 0.701103i | −0.994296 | − | 0.106655i | \(-0.965986\pi\) |
0.589514 | + | 0.807758i | \(0.299319\pi\) | |||||||
\(18\) | 1.53002 | + | 0.409967i | 0.360628 | + | 0.0966301i | ||||
\(19\) | 0.537206 | + | 0.537206i | 0.123244 | + | 0.123244i | 0.766038 | − | 0.642795i | \(-0.222225\pi\) |
−0.642795 | + | 0.766038i | \(0.722225\pi\) | |||||||
\(20\) | −1.84932 | − | 0.495525i | −0.413521 | − | 0.110803i | ||||
\(21\) | −2.29797 | + | 1.31124i | −0.501458 | + | 0.286136i | ||||
\(22\) | −2.67049 | − | 4.62542i | −0.569350 | − | 0.986143i | ||||
\(23\) | 3.08517 | − | 1.78122i | 0.643302 | − | 0.371411i | −0.142583 | − | 0.989783i | \(-0.545541\pi\) |
0.785886 | + | 0.618372i | \(0.212207\pi\) | |||||||
\(24\) | 1.66997 | − | 1.66997i | 0.340881 | − | 0.340881i | ||||
\(25\) | 7.92144 | − | 4.57345i | 1.58429 | − | 0.914690i | ||||
\(26\) | −3.85145 | − | 4.21707i | −0.755331 | − | 0.827035i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0.00683031 | − | 1.34673i | 0.00129081 | − | 0.254509i | ||||
\(29\) | −1.42199 | + | 2.46295i | −0.264056 | + | 0.457358i | −0.967316 | − | 0.253574i | \(-0.918394\pi\) |
0.703260 | + | 0.710933i | \(0.251727\pi\) | |||||||
\(30\) | − | 5.95776i | − | 1.08773i | ||||||
\(31\) | −2.38635 | + | 8.90596i | −0.428600 | + | 1.59956i | 0.327332 | + | 0.944909i | \(0.393850\pi\) |
−0.755933 | + | 0.654649i | \(0.772816\pi\) | |||||||
\(32\) | 0.728508 | + | 2.71883i | 0.128783 | + | 0.480625i | ||||
\(33\) | 2.38426 | − | 2.38426i | 0.415046 | − | 0.415046i | ||||
\(34\) | 3.73864 | − | 3.73864i | 0.641171 | − | 0.641171i | ||||
\(35\) | 7.00085 | + | 7.07223i | 1.18336 | + | 1.19542i | ||||
\(36\) | −0.440828 | − | 0.254512i | −0.0734713 | − | 0.0424187i | ||||
\(37\) | −2.93212 | + | 10.9428i | −0.482038 | + | 1.79899i | 0.111007 | + | 0.993820i | \(0.464592\pi\) |
−0.593045 | + | 0.805169i | \(0.702074\pi\) | |||||||
\(38\) | −0.601698 | − | 1.04217i | −0.0976083 | − | 0.169063i | ||||
\(39\) | 1.94228 | − | 3.03769i | 0.311013 | − | 0.486420i | ||||
\(40\) | −7.69280 | − | 4.44144i | −1.21634 | − | 0.702253i | ||||
\(41\) | −6.84386 | + | 1.83381i | −1.06883 | + | 0.286393i | −0.750013 | − | 0.661423i | \(-0.769953\pi\) |
−0.318819 | + | 0.947816i | \(0.603286\pi\) | |||||||
\(42\) | 4.05349 | − | 1.06413i | 0.625468 | − | 0.164198i | ||||
\(43\) | 10.9295 | − | 6.31017i | 1.66674 | − | 0.962291i | 0.697358 | − | 0.716723i | \(-0.254359\pi\) |
0.969379 | − | 0.245568i | \(-0.0789746\pi\) | |||||||
\(44\) | 0.444225 | + | 1.65787i | 0.0669695 | + | 0.249933i | ||||
\(45\) | 3.63307 | − | 0.973479i | 0.541587 | − | 0.145118i | ||||
\(46\) | −5.45060 | + | 1.46048i | −0.803648 | + | 0.215337i | ||||
\(47\) | 0.356118 | + | 1.32905i | 0.0519452 | + | 0.193862i | 0.987023 | − | 0.160582i | \(-0.0513370\pi\) |
−0.935077 | + | 0.354444i | \(0.884670\pi\) | |||||||
\(48\) | −4.12137 | + | 2.37947i | −0.594868 | + | 0.343447i | ||||
\(49\) | −3.56131 | + | 6.02636i | −0.508759 | + | 0.860909i | ||||
\(50\) | −13.9949 | + | 3.74992i | −1.97918 | + | 0.530319i | ||||
\(51\) | 2.89072 | + | 1.66896i | 0.404782 | + | 0.233701i | ||||
\(52\) | 0.844767 | + | 1.62934i | 0.117148 | + | 0.225949i | ||||
\(53\) | −3.59290 | − | 6.22308i | −0.493523 | − | 0.854806i | 0.506450 | − | 0.862270i | \(-0.330958\pi\) |
−0.999972 | + | 0.00746338i | \(0.997624\pi\) | |||||||
\(54\) | 0.409967 | − | 1.53002i | 0.0557894 | − | 0.208209i | ||||
\(55\) | −10.9832 | − | 6.34116i | −1.48098 | − | 0.855042i | ||||
\(56\) | 1.64781 | − | 6.02726i | 0.220197 | − | 0.805426i | ||||
\(57\) | 0.537206 | − | 0.537206i | 0.0711547 | − | 0.0711547i | ||||
\(58\) | 3.18539 | − | 3.18539i | 0.418262 | − | 0.418262i | ||||
\(59\) | 0.816620 | + | 3.04767i | 0.106315 | + | 0.396772i | 0.998491 | − | 0.0549152i | \(-0.0174888\pi\) |
−0.892176 | + | 0.451688i | \(0.850822\pi\) | |||||||
\(60\) | −0.495525 | + | 1.84932i | −0.0639720 | + | 0.238747i | ||||
\(61\) | 1.04213i | 0.133432i | 0.997772 | + | 0.0667158i | \(0.0212521\pi\) | ||||
−0.997772 | + | 0.0667158i | \(0.978748\pi\) | |||||||
\(62\) | 7.30230 | − | 12.6480i | 0.927393 | − | 1.60629i | ||||
\(63\) | 1.31124 | + | 2.29797i | 0.165200 | + | 0.289517i | ||||
\(64\) | 5.05937i | 0.632421i | ||||||||
\(65\) | −12.9269 | − | 4.09930i | −1.60339 | − | 0.508456i | ||||
\(66\) | −4.62542 | + | 2.67049i | −0.569350 | + | 0.328714i | ||||
\(67\) | −2.09191 | + | 2.09191i | −0.255567 | + | 0.255567i | −0.823248 | − | 0.567681i | \(-0.807841\pi\) |
0.567681 | + | 0.823248i | \(0.307841\pi\) | |||||||
\(68\) | −1.47145 | + | 0.849541i | −0.178439 | + | 0.103022i | ||||
\(69\) | −1.78122 | − | 3.08517i | −0.214434 | − | 0.371411i | ||||
\(70\) | −7.81204 | − | 13.6907i | −0.933717 | − | 1.63636i | ||||
\(71\) | −7.00412 | − | 1.87675i | −0.831236 | − | 0.222729i | −0.181983 | − | 0.983302i | \(-0.558252\pi\) |
−0.649253 | + | 0.760573i | \(0.724918\pi\) | |||||||
\(72\) | −1.66997 | − | 1.66997i | −0.196808 | − | 0.196808i | ||||
\(73\) | 2.08933 | + | 0.559835i | 0.244538 | + | 0.0655238i | 0.379006 | − | 0.925394i | \(-0.376266\pi\) |
−0.134468 | + | 0.990918i | \(0.542933\pi\) | |||||||
\(74\) | 8.97239 | − | 15.5406i | 1.04302 | − | 1.80656i | ||||
\(75\) | −4.57345 | − | 7.92144i | −0.528096 | − | 0.914690i | ||||
\(76\) | 0.100090 | + | 0.373541i | 0.0114811 | + | 0.0428481i | ||||
\(77\) | 2.35262 | − | 8.60528i | 0.268106 | − | 0.980663i | ||||
\(78\) | −4.21707 | + | 3.85145i | −0.477489 | + | 0.436091i | ||||
\(79\) | −5.54357 | + | 9.60175i | −0.623700 | + | 1.08028i | 0.365090 | + | 0.930972i | \(0.381038\pi\) |
−0.988791 | + | 0.149309i | \(0.952295\pi\) | |||||||
\(80\) | 12.6569 | + | 12.6569i | 1.41508 | + | 1.41508i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 11.2230 | 1.23938 | ||||||||
\(83\) | 1.51210 | + | 1.51210i | 0.165975 | + | 0.165975i | 0.785208 | − | 0.619233i | \(-0.212556\pi\) |
−0.619233 | + | 0.785208i | \(0.712556\pi\) | |||||||
\(84\) | −1.34673 | − | 0.00683031i | −0.146941 | − | 0.000745248i | ||||
\(85\) | 3.24940 | − | 12.1269i | 0.352447 | − | 1.31535i | ||||
\(86\) | −19.3093 | + | 5.17392i | −2.08218 | + | 0.557918i | ||||
\(87\) | 2.46295 | + | 1.42199i | 0.264056 | + | 0.152453i | ||||
\(88\) | 7.96327i | 0.848887i | ||||||||
\(89\) | −3.05671 | − | 0.819042i | −0.324010 | − | 0.0868183i | 0.0931477 | − | 0.995652i | \(-0.470307\pi\) |
−0.417158 | + | 0.908834i | \(0.636974\pi\) | |||||||
\(90\) | −5.95776 | −0.628003 | ||||||||
\(91\) | 0.480151 | − | 9.52730i | 0.0503335 | − | 0.998732i | ||||
\(92\) | 1.81337 | 0.189057 | ||||||||
\(93\) | 8.90596 | + | 2.38635i | 0.923505 | + | 0.247453i | ||||
\(94\) | − | 2.17947i | − | 0.224795i | ||||||
\(95\) | −2.47467 | − | 1.42875i | −0.253896 | − | 0.146587i | ||||
\(96\) | 2.71883 | − | 0.728508i | 0.277489 | − | 0.0743530i | ||||
\(97\) | 3.23001 | − | 12.0545i | 0.327957 | − | 1.22395i | −0.583348 | − | 0.812222i | \(-0.698258\pi\) |
0.911305 | − | 0.411731i | \(-0.135076\pi\) | |||||||
\(98\) | 7.91947 | − | 7.76042i | 0.799988 | − | 0.783921i | ||||
\(99\) | −2.38426 | − | 2.38426i | −0.239627 | − | 0.239627i | ||||
\(100\) | 4.65599 | 0.465599 | ||||||||
\(101\) | −4.39234 | −0.437054 | −0.218527 | − | 0.975831i | \(-0.570125\pi\) | ||||
−0.218527 | + | 0.975831i | \(0.570125\pi\) | |||||||
\(102\) | −3.73864 | − | 3.73864i | −0.370180 | − | 0.370180i | ||||
\(103\) | −6.67838 | + | 11.5673i | −0.658040 | + | 1.13976i | 0.323082 | + | 0.946371i | \(0.395281\pi\) |
−0.981122 | + | 0.193389i | \(0.938052\pi\) | |||||||
\(104\) | 1.82931 | + | 8.31638i | 0.179378 | + | 0.815488i | ||||
\(105\) | 7.07223 | − | 7.00085i | 0.690179 | − | 0.683213i | ||||
\(106\) | 2.94594 | + | 10.9944i | 0.286135 | + | 1.06787i | ||||
\(107\) | −0.0887791 | − | 0.153770i | −0.00858260 | − | 0.0148655i | 0.861702 | − | 0.507414i | \(-0.169399\pi\) |
−0.870285 | + | 0.492549i | \(0.836065\pi\) | |||||||
\(108\) | −0.254512 | + | 0.440828i | −0.0244904 | + | 0.0424187i | ||||
\(109\) | 5.01713 | + | 1.34434i | 0.480554 | + | 0.128764i | 0.490960 | − | 0.871182i | \(-0.336646\pi\) |
−0.0104068 | + | 0.999946i | \(0.503313\pi\) | |||||||
\(110\) | 14.2048 | + | 14.2048i | 1.35438 | + | 1.35438i | ||||
\(111\) | 10.9428 | + | 2.93212i | 1.03865 | + | 0.278305i | ||||
\(112\) | −6.35071 | + | 10.8720i | −0.600086 | + | 1.02731i | ||||
\(113\) | 10.0079 | + | 17.3342i | 0.941462 | + | 1.63066i | 0.762684 | + | 0.646771i | \(0.223881\pi\) |
0.178778 | + | 0.983889i | \(0.442785\pi\) | |||||||
\(114\) | −1.04217 | + | 0.601698i | −0.0976083 | + | 0.0563542i | ||||
\(115\) | −9.47467 | + | 9.47467i | −0.883517 | + | 0.883517i | ||||
\(116\) | −1.25370 | + | 0.723825i | −0.116403 | + | 0.0672055i | ||||
\(117\) | −3.03769 | − | 1.94228i | −0.280835 | − | 0.179563i | ||||
\(118\) | − | 4.99777i | − | 0.460082i | ||||||
\(119\) | 8.83119 | + | 0.0447897i | 0.809554 | + | 0.00410586i | ||||
\(120\) | −4.44144 | + | 7.69280i | −0.405446 | + | 0.702253i | ||||
\(121\) | 0.369378i | 0.0335798i | ||||||||
\(122\) | 0.427240 | − | 1.59448i | 0.0386805 | − | 0.144358i | ||||
\(123\) | 1.83381 | + | 6.84386i | 0.165349 | + | 0.617090i | ||||
\(124\) | −3.31864 | + | 3.31864i | −0.298023 | + | 0.298023i | ||||
\(125\) | −11.0291 | + | 11.0291i | −0.986469 | + | 0.986469i | ||||
\(126\) | −1.06413 | − | 4.05349i | −0.0947999 | − | 0.361114i | ||||
\(127\) | 6.74547 | + | 3.89450i | 0.598564 | + | 0.345581i | 0.768476 | − | 0.639878i | \(-0.221015\pi\) |
−0.169913 | + | 0.985459i | \(0.554349\pi\) | |||||||
\(128\) | 3.53119 | − | 13.1786i | 0.312116 | − | 1.16483i | ||||
\(129\) | −6.31017 | − | 10.9295i | −0.555579 | − | 0.962291i | ||||
\(130\) | 18.0978 | + | 11.5716i | 1.58729 | + | 1.01490i | ||||
\(131\) | 8.40782 | + | 4.85426i | 0.734595 | + | 0.424118i | 0.820101 | − | 0.572219i | \(-0.193917\pi\) |
−0.0855060 | + | 0.996338i | \(0.527251\pi\) | |||||||
\(132\) | 1.65787 | − | 0.444225i | 0.144299 | − | 0.0386648i | ||||
\(133\) | 0.530077 | − | 1.93889i | 0.0459635 | − | 0.168123i | ||||
\(134\) | 4.05826 | − | 2.34304i | 0.350580 | − | 0.202408i | ||||
\(135\) | −0.973479 | − | 3.63307i | −0.0837838 | − | 0.312685i | ||||
\(136\) | −7.61452 | + | 2.04031i | −0.652940 | + | 0.174955i | ||||
\(137\) | 8.77818 | − | 2.35211i | 0.749970 | − | 0.200954i | 0.136465 | − | 0.990645i | \(-0.456426\pi\) |
0.613505 | + | 0.789691i | \(0.289759\pi\) | |||||||
\(138\) | 1.46048 | + | 5.45060i | 0.124325 | + | 0.463986i | ||||
\(139\) | −8.85473 | + | 5.11228i | −0.751048 | + | 0.433618i | −0.826073 | − | 0.563564i | \(-0.809430\pi\) |
0.0750244 | + | 0.997182i | \(0.476097\pi\) | |||||||
\(140\) | 1.28620 | + | 4.89944i | 0.108704 | + | 0.414078i | ||||
\(141\) | 1.32905 | − | 0.356118i | 0.111926 | − | 0.0299906i | ||||
\(142\) | 9.94701 | + | 5.74291i | 0.834735 | + | 0.481934i | ||||
\(143\) | 2.61175 | + | 11.8735i | 0.218406 | + | 0.992914i | ||||
\(144\) | 2.37947 | + | 4.12137i | 0.198289 | + | 0.343447i | ||||
\(145\) | 2.76855 | − | 10.3324i | 0.229915 | − | 0.858056i | ||||
\(146\) | −2.96720 | − | 1.71311i | −0.245567 | − | 0.141778i | ||||
\(147\) | 6.02636 | + | 3.56131i | 0.497046 | + | 0.293732i | ||||
\(148\) | −4.07764 | + | 4.07764i | −0.335180 | + | 0.335180i | ||||
\(149\) | 10.6236 | − | 10.6236i | 0.870318 | − | 0.870318i | −0.122189 | − | 0.992507i | \(-0.538991\pi\) |
0.992507 | + | 0.122189i | \(0.0389913\pi\) | |||||||
\(150\) | 3.74992 | + | 13.9949i | 0.306180 | + | 1.14268i | ||||
\(151\) | 0.0718719 | − | 0.268230i | 0.00584885 | − | 0.0218282i | −0.962940 | − | 0.269717i | \(-0.913070\pi\) |
0.968789 | + | 0.247888i | \(0.0797366\pi\) | |||||||
\(152\) | 1.79423i | 0.145532i | ||||||||
\(153\) | 1.66896 | − | 2.89072i | 0.134927 | − | 0.233701i | ||||
\(154\) | −7.12742 | + | 12.2017i | −0.574344 | + | 0.983243i | ||||
\(155\) | − | 34.6791i | − | 2.78549i | ||||||
\(156\) | 1.62934 | − | 0.844767i | 0.130452 | − | 0.0676355i | ||||
\(157\) | 0.272321 | − | 0.157225i | 0.0217336 | − | 0.0125479i | −0.489094 | − | 0.872231i | \(-0.662672\pi\) |
0.510827 | + | 0.859683i | \(0.329339\pi\) | |||||||
\(158\) | 12.4182 | − | 12.4182i | 0.987935 | − | 0.987935i | ||||
\(159\) | −6.22308 | + | 3.59290i | −0.493523 | + | 0.284935i | ||||
\(160\) | −5.29344 | − | 9.16852i | −0.418484 | − | 0.724835i | ||||
\(161\) | −8.13859 | − | 4.75401i | −0.641410 | − | 0.374669i | ||||
\(162\) | −1.53002 | − | 0.409967i | −0.120209 | − | 0.0322100i | ||||
\(163\) | 0.667599 | + | 0.667599i | 0.0522904 | + | 0.0522904i | 0.732768 | − | 0.680478i | \(-0.238228\pi\) |
−0.680478 | + | 0.732768i | \(0.738228\pi\) | |||||||
\(164\) | −3.48369 | − | 0.933452i | −0.272031 | − | 0.0728904i | ||||
\(165\) | −6.34116 | + | 10.9832i | −0.493659 | + | 0.855042i | ||||
\(166\) | −1.69363 | − | 2.93346i | −0.131451 | − | 0.227680i | ||||
\(167\) | −0.626601 | − | 2.33851i | −0.0484878 | − | 0.180959i | 0.937435 | − | 0.348161i | \(-0.113194\pi\) |
−0.985923 | + | 0.167202i | \(0.946527\pi\) | |||||||
\(168\) | −6.02726 | − | 1.64781i | −0.465013 | − | 0.127131i | ||||
\(169\) | 5.45513 | + | 11.8001i | 0.419626 | + | 0.907697i | ||||
\(170\) | −9.94326 | + | 17.2222i | −0.762614 | + | 1.32089i | ||||
\(171\) | −0.537206 | − | 0.537206i | −0.0410812 | − | 0.0410812i | ||||
\(172\) | 6.42406 | 0.489830 | ||||||||
\(173\) | 17.2215 | 1.30933 | 0.654664 | − | 0.755920i | \(-0.272810\pi\) | ||||
0.654664 | + | 0.755920i | \(0.272810\pi\) | |||||||
\(174\) | −3.18539 | − | 3.18539i | −0.241484 | − | 0.241484i | ||||
\(175\) | −20.8965 | − | 12.2063i | −1.57963 | − | 0.922713i | ||||
\(176\) | 4.15313 | − | 15.4997i | 0.313054 | − | 1.16833i | ||||
\(177\) | 3.04767 | − | 0.816620i | 0.229077 | − | 0.0613809i | ||||
\(178\) | 4.34103 | + | 2.50630i | 0.325374 | + | 0.187855i | ||||
\(179\) | 3.44245i | 0.257301i | 0.991690 | + | 0.128651i | \(0.0410646\pi\) | ||||
−0.991690 | + | 0.128651i | \(0.958935\pi\) | |||||||
\(180\) | 1.84932 | + | 0.495525i | 0.137840 | + | 0.0369342i | ||||
\(181\) | −25.9767 | −1.93084 | −0.965418 | − | 0.260708i | \(-0.916044\pi\) | ||||
−0.965418 | + | 0.260708i | \(0.916044\pi\) | |||||||
\(182\) | −4.64052 | + | 14.3801i | −0.343978 | + | 1.06592i | ||||
\(183\) | 1.04213 | 0.0770368 | ||||||||
\(184\) | 8.12672 | + | 2.17755i | 0.599110 | + | 0.160531i | ||||
\(185\) | − | 42.6105i | − | 3.13278i | ||||||
\(186\) | −12.6480 | − | 7.30230i | −0.927393 | − | 0.535431i | ||||
\(187\) | −10.8715 | + | 2.91300i | −0.795000 | + | 0.213020i | ||||
\(188\) | −0.181273 | + | 0.676520i | −0.0132207 | + | 0.0493403i | ||||
\(189\) | 2.29797 | − | 1.31124i | 0.167153 | − | 0.0953785i | ||||
\(190\) | 3.20055 | + | 3.20055i | 0.232192 | + | 0.232192i | ||||
\(191\) | 2.98307 | 0.215848 | 0.107924 | − | 0.994159i | \(-0.465580\pi\) | ||||
0.107924 | + | 0.994159i | \(0.465580\pi\) | |||||||
\(192\) | 5.05937 | 0.365129 | ||||||||
\(193\) | 1.84850 | + | 1.84850i | 0.133058 | + | 0.133058i | 0.770499 | − | 0.637441i | \(-0.220007\pi\) |
−0.637441 | + | 0.770499i | \(0.720007\pi\) | |||||||
\(194\) | −9.88393 | + | 17.1195i | −0.709624 | + | 1.22911i | ||||
\(195\) | −4.09930 | + | 12.9269i | −0.293557 | + | 0.925716i | ||||
\(196\) | −3.10371 | + | 1.75019i | −0.221693 | + | 0.125014i | ||||
\(197\) | 0.213689 | + | 0.797498i | 0.0152247 | + | 0.0568194i | 0.973120 | − | 0.230297i | \(-0.0739699\pi\) |
−0.957896 | + | 0.287117i | \(0.907303\pi\) | |||||||
\(198\) | 2.67049 | + | 4.62542i | 0.189783 | + | 0.328714i | ||||
\(199\) | −4.10087 | + | 7.10291i | −0.290703 | + | 0.503512i | −0.973976 | − | 0.226651i | \(-0.927222\pi\) |
0.683273 | + | 0.730163i | \(0.260556\pi\) | |||||||
\(200\) | 20.8661 | + | 5.59104i | 1.47545 | + | 0.395347i | ||||
\(201\) | 2.09191 | + | 2.09191i | 0.147552 | + | 0.147552i | ||||
\(202\) | 6.72036 | + | 1.80071i | 0.472843 | + | 0.126698i | ||||
\(203\) | 7.52434 | + | 0.0381616i | 0.528105 | + | 0.00267842i | ||||
\(204\) | 0.849541 | + | 1.47145i | 0.0594798 | + | 0.103022i | ||||
\(205\) | 23.0791 | − | 13.3247i | 1.61191 | − | 0.930638i | ||||
\(206\) | 14.9602 | − | 14.9602i | 1.04233 | − | 1.04233i | ||||
\(207\) | −3.08517 | + | 1.78122i | −0.214434 | + | 0.123804i | ||||
\(208\) | 0.776728 | − | 17.1410i | 0.0538564 | − | 1.18852i | ||||
\(209\) | 2.56168i | 0.177195i | ||||||||
\(210\) | −13.6907 | + | 7.81204i | −0.944751 | + | 0.539082i | ||||
\(211\) | 5.37441 | − | 9.30875i | 0.369989 | − | 0.640841i | −0.619574 | − | 0.784938i | \(-0.712695\pi\) |
0.989563 | + | 0.144098i | \(0.0460280\pi\) | |||||||
\(212\) | − | 3.65775i | − | 0.251215i | ||||||
\(213\) | −1.87675 | + | 7.00412i | −0.128593 | + | 0.479914i | ||||
\(214\) | 0.0727929 | + | 0.271667i | 0.00497602 | + | 0.0185708i | ||||
\(215\) | −33.5650 | + | 33.5650i | −2.28911 | + | 2.28911i | ||||
\(216\) | −1.66997 | + | 1.66997i | −0.113627 | + | 0.113627i | ||||
\(217\) | 23.5947 | − | 6.19409i | 1.60171 | − | 0.420482i | ||||
\(218\) | −7.12516 | − | 4.11371i | −0.482576 | − | 0.278616i | ||||
\(219\) | 0.559835 | − | 2.08933i | 0.0378302 | − | 0.141184i | ||||
\(220\) | −3.22781 | − | 5.59072i | −0.217619 | − | 0.376927i | ||||
\(221\) | −10.6844 | + | 5.53954i | −0.718708 | + | 0.372630i | ||||
\(222\) | −15.5406 | − | 8.97239i | −1.04302 | − | 0.602187i | ||||
\(223\) | −5.74055 | + | 1.53818i | −0.384416 | + | 0.103004i | −0.445851 | − | 0.895107i | \(-0.647099\pi\) |
0.0614354 | + | 0.998111i | \(0.480432\pi\) | |||||||
\(224\) | 5.29253 | − | 5.23912i | 0.353622 | − | 0.350053i | ||||
\(225\) | −7.92144 | + | 4.57345i | −0.528096 | + | 0.304897i | ||||
\(226\) | −8.20580 | − | 30.6245i | −0.545842 | − | 2.03711i | ||||
\(227\) | −19.6924 | + | 5.27657i | −1.30703 | + | 0.350218i | −0.844105 | − | 0.536178i | \(-0.819868\pi\) |
−0.462928 | + | 0.886396i | \(0.653201\pi\) | |||||||
\(228\) | 0.373541 | − | 0.100090i | 0.0247384 | − | 0.00662863i | ||||
\(229\) | −2.22135 | − | 8.29019i | −0.146791 | − | 0.547831i | −0.999669 | − | 0.0257212i | \(-0.991812\pi\) |
0.852878 | − | 0.522110i | \(-0.174855\pi\) | |||||||
\(230\) | 18.3807 | − | 10.6121i | 1.21199 | − | 0.699741i | ||||
\(231\) | −8.60528 | − | 2.35262i | −0.566186 | − | 0.154791i | ||||
\(232\) | −6.48772 | + | 1.73838i | −0.425939 | + | 0.114130i | ||||
\(233\) | −4.35471 | − | 2.51419i | −0.285286 | − | 0.164710i | 0.350528 | − | 0.936552i | \(-0.386002\pi\) |
−0.635814 | + | 0.771842i | \(0.719336\pi\) | |||||||
\(234\) | 3.85145 | + | 4.21707i | 0.251777 | + | 0.275678i | ||||
\(235\) | −2.58761 | − | 4.48187i | −0.168797 | − | 0.292365i | ||||
\(236\) | −0.415679 | + | 1.55134i | −0.0270584 | + | 0.100983i | ||||
\(237\) | 9.60175 | + | 5.54357i | 0.623700 | + | 0.360094i | ||||
\(238\) | −13.4935 | − | 3.68902i | −0.874654 | − | 0.239124i | ||||
\(239\) | −11.6568 | + | 11.6568i | −0.754018 | + | 0.754018i | −0.975227 | − | 0.221208i | \(-0.929000\pi\) |
0.221208 | + | 0.975227i | \(0.429000\pi\) | |||||||
\(240\) | 12.6569 | − | 12.6569i | 0.816997 | − | 0.816997i | ||||
\(241\) | −1.46113 | − | 5.45299i | −0.0941193 | − | 0.351258i | 0.902765 | − | 0.430134i | \(-0.141534\pi\) |
−0.996884 | + | 0.0788757i | \(0.974867\pi\) | |||||||
\(242\) | 0.151433 | − | 0.565154i | 0.00973446 | − | 0.0363295i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −0.265236 | + | 0.459402i | −0.0169800 | + | 0.0294102i | ||||
\(245\) | 7.07196 | − | 25.3611i | 0.451811 | − | 1.62026i | ||||
\(246\) | − | 11.2230i | − | 0.715554i | ||||||
\(247\) | 0.588464 | + | 2.67527i | 0.0374431 | + | 0.170223i | ||||
\(248\) | −18.8578 | + | 10.8875i | −1.19747 | + | 0.691360i | ||||
\(249\) | 1.51210 | − | 1.51210i | 0.0958257 | − | 0.0958257i | ||||
\(250\) | 21.3962 | − | 12.3531i | 1.35321 | − | 0.781279i | ||||
\(251\) | 5.54226 | + | 9.59948i | 0.349825 | + | 0.605914i | 0.986218 | − | 0.165451i | \(-0.0529079\pi\) |
−0.636394 | + | 0.771365i | \(0.719575\pi\) | |||||||
\(252\) | −0.00683031 | + | 1.34673i | −0.000430269 | + | 0.0848363i | ||||
\(253\) | 11.6027 | + | 3.10894i | 0.729458 | + | 0.195458i | ||||
\(254\) | −8.72407 | − | 8.72407i | −0.547397 | − | 0.547397i | ||||
\(255\) | −12.1269 | − | 3.24940i | −0.759417 | − | 0.203485i | ||||
\(256\) | −5.74619 | + | 9.95269i | −0.359137 | + | 0.622043i | ||||
\(257\) | −1.20160 | − | 2.08124i | −0.0749540 | − | 0.129824i | 0.826112 | − | 0.563506i | \(-0.190548\pi\) |
−0.901066 | + | 0.433681i | \(0.857214\pi\) | |||||||
\(258\) | 5.17392 | + | 19.3093i | 0.322114 | + | 1.20215i | ||||
\(259\) | 28.9910 | − | 7.61073i | 1.80141 | − | 0.472908i | ||||
\(260\) | −4.65523 | − | 5.09715i | −0.288705 | − | 0.316112i | ||||
\(261\) | 1.42199 | − | 2.46295i | 0.0880187 | − | 0.152453i | ||||
\(262\) | −10.8740 | − | 10.8740i | −0.671799 | − | 0.671799i | ||||
\(263\) | −26.1246 | −1.61091 | −0.805456 | − | 0.592655i | \(-0.798080\pi\) | ||||
−0.805456 | + | 0.592655i | \(0.798080\pi\) | |||||||
\(264\) | 7.96327 | 0.490105 | ||||||||
\(265\) | 19.1113 | + | 19.1113i | 1.17400 | + | 1.17400i | ||||
\(266\) | −1.60591 | + | 2.74922i | −0.0984645 | + | 0.168565i | ||||
\(267\) | −0.819042 | + | 3.05671i | −0.0501246 | + | 0.187067i | ||||
\(268\) | −1.45459 | + | 0.389755i | −0.0888530 | + | 0.0238081i | ||||
\(269\) | −22.8806 | − | 13.2101i | −1.39505 | − | 0.805435i | −0.401185 | − | 0.915997i | \(-0.631402\pi\) |
−0.993869 | + | 0.110562i | \(0.964735\pi\) | |||||||
\(270\) | 5.95776i | 0.362578i | ||||||||
\(271\) | −7.31591 | − | 1.96029i | −0.444410 | − | 0.119079i | 0.0296728 | − | 0.999560i | \(-0.490553\pi\) |
−0.474082 | + | 0.880480i | \(0.657220\pi\) | |||||||
\(272\) | 15.8850 | 0.963168 | ||||||||
\(273\) | −9.52730 | − | 0.480151i | −0.576618 | − | 0.0290600i | ||||
\(274\) | −14.3950 | −0.869637 | ||||||||
\(275\) | 29.7911 | + | 7.98249i | 1.79647 | + | 0.481362i | ||||
\(276\) | − | 1.81337i | − | 0.109152i | ||||||
\(277\) | −19.5228 | − | 11.2715i | −1.17301 | − | 0.677238i | −0.218624 | − | 0.975809i | \(-0.570157\pi\) |
−0.954387 | + | 0.298571i | \(0.903490\pi\) | |||||||
\(278\) | 15.6437 | − | 4.19173i | 0.938250 | − | 0.251403i | ||||
\(279\) | 2.38635 | − | 8.90596i | 0.142867 | − | 0.533186i | ||||
\(280\) | −0.119194 | + | 23.5016i | −0.00712322 | + | 1.40449i | ||||
\(281\) | −7.73479 | − | 7.73479i | −0.461419 | − | 0.461419i | 0.437701 | − | 0.899120i | \(-0.355793\pi\) |
−0.899120 | + | 0.437701i | \(0.855793\pi\) | |||||||
\(282\) | −2.17947 | −0.129785 | ||||||||
\(283\) | 17.7305 | 1.05397 | 0.526984 | − | 0.849875i | \(-0.323323\pi\) | ||||
0.526984 | + | 0.849875i | \(0.323323\pi\) | |||||||
\(284\) | −2.60996 | − | 2.60996i | −0.154872 | − | 0.154872i | ||||
\(285\) | −1.42875 | + | 2.47467i | −0.0846319 | + | 0.146587i | ||||
\(286\) | 0.871725 | − | 19.2374i | 0.0515462 | − | 1.13753i | ||||
\(287\) | 13.1880 | + | 13.3224i | 0.778461 | + | 0.786397i | ||||
\(288\) | −0.728508 | − | 2.71883i | −0.0429277 | − | 0.160208i | ||||
\(289\) | 2.92914 | + | 5.07343i | 0.172303 | + | 0.298437i | ||||
\(290\) | −8.47185 | + | 14.6737i | −0.497484 | + | 0.861667i | ||||
\(291\) | −12.0545 | − | 3.23001i | −0.706650 | − | 0.189346i | ||||
\(292\) | 0.778552 | + | 0.778552i | 0.0455613 | + | 0.0455613i | ||||
\(293\) | 12.4507 | + | 3.33616i | 0.727379 | + | 0.194901i | 0.603462 | − | 0.797392i | \(-0.293788\pi\) |
0.123917 | + | 0.992293i | \(0.460454\pi\) | |||||||
\(294\) | −7.76042 | − | 7.91947i | −0.452597 | − | 0.461873i | ||||
\(295\) | −5.93368 | − | 10.2774i | −0.345472 | − | 0.598376i | ||||
\(296\) | −23.1707 | + | 13.3776i | −1.34677 | + | 0.777558i | ||||
\(297\) | −2.38426 | + | 2.38426i | −0.138349 | + | 0.138349i | ||||
\(298\) | −20.6096 | + | 11.8990i | −1.19388 | + | 0.689288i | ||||
\(299\) | 12.8314 | + | 0.581443i | 0.742060 | + | 0.0336257i | ||||
\(300\) | − | 4.65599i | − | 0.268814i | ||||||
\(301\) | −28.8318 | − | 16.8416i | −1.66184 | − | 0.970732i | ||||
\(302\) | −0.219930 | + | 0.380931i | −0.0126556 | + | 0.0219201i | ||||
\(303\) | 4.39234i | 0.252333i | ||||||||
\(304\) | 0.935756 | − | 3.49229i | 0.0536693 | − | 0.200297i | ||||
\(305\) | −1.01450 | − | 3.78615i | −0.0580899 | − | 0.216794i | ||||
\(306\) | −3.73864 | + | 3.73864i | −0.213724 | + | 0.213724i | ||||
\(307\) | 5.82305 | − | 5.82305i | 0.332339 | − | 0.332339i | −0.521135 | − | 0.853474i | \(-0.674491\pi\) |
0.853474 | + | 0.521135i | \(0.174491\pi\) | |||||||
\(308\) | 3.22725 | − | 3.19468i | 0.183890 | − | 0.182034i | ||||
\(309\) | 11.5673 | + | 6.67838i | 0.658040 | + | 0.379920i | ||||
\(310\) | −14.2173 | + | 53.0596i | −0.807487 | + | 3.01358i | ||||
\(311\) | 13.5284 | + | 23.4318i | 0.767124 | + | 1.32870i | 0.939116 | + | 0.343600i | \(0.111646\pi\) |
−0.171992 | + | 0.985098i | \(0.555020\pi\) | |||||||
\(312\) | 8.31638 | − | 1.82931i | 0.470822 | − | 0.103564i | ||||
\(313\) | 11.8883 | + | 6.86374i | 0.671969 | + | 0.387962i | 0.796822 | − | 0.604214i | \(-0.206513\pi\) |
−0.124853 | + | 0.992175i | \(0.539846\pi\) | |||||||
\(314\) | −0.481113 | + | 0.128914i | −0.0271508 | + | 0.00727502i | ||||
\(315\) | −7.00085 | − | 7.07223i | −0.394453 | − | 0.398475i | ||||
\(316\) | −4.88752 | + | 2.82181i | −0.274945 | + | 0.158739i | ||||
\(317\) | −0.599689 | − | 2.23807i | −0.0336819 | − | 0.125702i | 0.947038 | − | 0.321122i | \(-0.104060\pi\) |
−0.980720 | + | 0.195419i | \(0.937393\pi\) | |||||||
\(318\) | 10.9944 | − | 2.94594i | 0.616535 | − | 0.165200i | ||||
\(319\) | −9.26269 | + | 2.48193i | −0.518611 | + | 0.138961i | ||||
\(320\) | −4.92519 | − | 18.3811i | −0.275327 | − | 1.02753i | ||||
\(321\) | −0.153770 | + | 0.0887791i | −0.00858260 | + | 0.00495516i | ||||
\(322\) | 10.5032 | + | 10.6103i | 0.585320 | + | 0.591287i | ||||
\(323\) | −2.44949 | + | 0.656339i | −0.136293 | + | 0.0365197i | ||||
\(324\) | 0.440828 | + | 0.254512i | 0.0244904 | + | 0.0141396i | ||||
\(325\) | 32.9458 | + | 1.49291i | 1.82750 | + | 0.0828115i | ||||
\(326\) | −0.747745 | − | 1.29513i | −0.0414138 | − | 0.0717307i | ||||
\(327\) | 1.34434 | − | 5.01713i | 0.0743419 | − | 0.277448i | ||||
\(328\) | −14.4914 | − | 8.36663i | −0.800155 | − | 0.461970i | ||||
\(329\) | 2.58716 | − | 2.56105i | 0.142635 | − | 0.141195i | ||||
\(330\) | 14.2048 | − | 14.2048i | 0.781951 | − | 0.781951i | ||||
\(331\) | 18.2666 | − | 18.2666i | 1.00402 | − | 1.00402i | 0.00403235 | − | 0.999992i | \(-0.498716\pi\) |
0.999992 | − | 0.00403235i | \(-0.00128354\pi\) | |||||||
\(332\) | 0.281729 | + | 1.05143i | 0.0154619 | + | 0.0577045i | ||||
\(333\) | 2.93212 | − | 10.9428i | 0.160679 | − | 0.599663i | ||||
\(334\) | 3.83484i | 0.209833i | ||||||||
\(335\) | 5.56362 | − | 9.63647i | 0.303973 | − | 0.526497i | ||||
\(336\) | 10.8720 | + | 6.35071i | 0.593118 | + | 0.346460i | ||||
\(337\) | 32.4074i | 1.76534i | 0.469990 | + | 0.882672i | \(0.344257\pi\) | ||||
−0.469990 | + | 0.882672i | \(0.655743\pi\) | |||||||
\(338\) | −3.50881 | − | 20.2907i | −0.190854 | − | 1.10367i | ||||
\(339\) | 17.3342 | − | 10.0079i | 0.941462 | − | 0.543554i | ||||
\(340\) | 4.51887 | − | 4.51887i | 0.245070 | − | 0.245070i | ||||
\(341\) | −26.9238 | + | 15.5445i | −1.45800 | + | 0.841779i | ||||
\(342\) | 0.601698 | + | 1.04217i | 0.0325361 | + | 0.0563542i | ||||
\(343\) | 18.5181 | + | 0.281778i | 0.999884 | + | 0.0152146i | ||||
\(344\) | 28.7897 | + | 7.71418i | 1.55224 | + | 0.415921i | ||||
\(345\) | 9.47467 | + | 9.47467i | 0.510099 | + | 0.510099i | ||||
\(346\) | −26.3492 | − | 7.06025i | −1.41654 | − | 0.379562i | ||||
\(347\) | 15.5107 | − | 26.8654i | 0.832660 | − | 1.44221i | −0.0632613 | − | 0.997997i | \(-0.520150\pi\) |
0.895921 | − | 0.444213i | \(-0.146517\pi\) | |||||||
\(348\) | 0.723825 | + | 1.25370i | 0.0388011 | + | 0.0672055i | ||||
\(349\) | −0.142223 | − | 0.530784i | −0.00761303 | − | 0.0284122i | 0.962015 | − | 0.272997i | \(-0.0880150\pi\) |
−0.969628 | + | 0.244585i | \(0.921348\pi\) | |||||||
\(350\) | 26.9679 | + | 27.2428i | 1.44149 | + | 1.45619i | ||||
\(351\) | −1.94228 | + | 3.03769i | −0.103671 | + | 0.162140i | ||||
\(352\) | −4.74544 | + | 8.21934i | −0.252933 | + | 0.438092i | ||||
\(353\) | −8.74784 | − | 8.74784i | −0.465601 | − | 0.465601i | 0.434885 | − | 0.900486i | \(-0.356789\pi\) |
−0.900486 | + | 0.434885i | \(0.856789\pi\) | |||||||
\(354\) | −4.99777 | −0.265628 | ||||||||
\(355\) | 27.2735 | 1.44752 | ||||||||
\(356\) | −1.13903 | − | 1.13903i | −0.0603682 | − | 0.0603682i | ||||
\(357\) | 0.0447897 | − | 8.83119i | 0.00237052 | − | 0.467396i | ||||
\(358\) | 1.41129 | − | 5.26701i | 0.0745891 | − | 0.278370i | ||||
\(359\) | −7.03362 | + | 1.88465i | −0.371220 | + | 0.0994682i | −0.439606 | − | 0.898191i | \(-0.644882\pi\) |
0.0683856 | + | 0.997659i | \(0.478215\pi\) | |||||||
\(360\) | 7.69280 | + | 4.44144i | 0.405446 | + | 0.234084i | ||||
\(361\) | − | 18.4228i | − | 0.969622i | ||||||
\(362\) | 39.7448 | + | 10.6496i | 2.08894 | + | 0.559730i | ||||
\(363\) | 0.369378 | 0.0193873 | ||||||||
\(364\) | 2.63648 | − | 4.07770i | 0.138189 | − | 0.213729i | ||||
\(365\) | −8.13569 | −0.425842 | ||||||||
\(366\) | −1.59448 | − | 0.427240i | −0.0833450 | − | 0.0223322i | ||||
\(367\) | − | 4.31177i | − | 0.225073i | −0.993648 | − | 0.112536i | \(-0.964103\pi\) | ||
0.993648 | − | 0.112536i | \(-0.0358975\pi\) | |||||||
\(368\) | −14.6821 | − | 8.47674i | −0.765360 | − | 0.441881i | ||||
\(369\) | 6.84386 | − | 1.83381i | 0.356277 | − | 0.0954642i | ||||
\(370\) | −17.4689 | + | 65.1947i | −0.908163 | + | 3.38931i | ||||
\(371\) | −9.58930 | + | 16.4163i | −0.497852 | + | 0.852292i | ||||
\(372\) | 3.31864 | + | 3.31864i | 0.172064 | + | 0.172064i | ||||
\(373\) | −17.1750 | −0.889289 | −0.444645 | − | 0.895707i | \(-0.646670\pi\) | ||||
−0.444645 | + | 0.895707i | \(0.646670\pi\) | |||||||
\(374\) | 17.8278 | 0.921851 | ||||||||
\(375\) | 11.0291 | + | 11.0291i | 0.569538 | + | 0.569538i | ||||
\(376\) | −1.62477 | + | 2.81418i | −0.0837909 | + | 0.145130i | ||||
\(377\) | −9.10328 | + | 4.71980i | −0.468843 | + | 0.243082i | ||||
\(378\) | −4.05349 | + | 1.06413i | −0.208489 | + | 0.0547327i | ||||
\(379\) | 0.602843 | + | 2.24984i | 0.0309659 | + | 0.115566i | 0.979679 | − | 0.200572i | \(-0.0642801\pi\) |
−0.948713 | + | 0.316139i | \(0.897613\pi\) | |||||||
\(380\) | −0.727269 | − | 1.25967i | −0.0373081 | − | 0.0646196i | ||||
\(381\) | 3.89450 | − | 6.74547i | 0.199521 | − | 0.345581i | ||||
\(382\) | −4.56415 | − | 1.22296i | −0.233522 | − | 0.0625721i | ||||
\(383\) | −19.4875 | − | 19.4875i | −0.995766 | − | 0.995766i | 0.00422533 | − | 0.999991i | \(-0.498655\pi\) |
−0.999991 | + | 0.00422533i | \(0.998655\pi\) | |||||||
\(384\) | −13.1786 | − | 3.53119i | −0.672516 | − | 0.180200i | ||||
\(385\) | −0.170177 | + | 33.5538i | −0.00867302 | + | 1.71006i | ||||
\(386\) | −2.07041 | − | 3.58606i | −0.105381 | − | 0.182526i | ||||
\(387\) | −10.9295 | + | 6.31017i | −0.555579 | + | 0.320764i | ||||
\(388\) | 4.49191 | − | 4.49191i | 0.228042 | − | 0.228042i | ||||
\(389\) | 10.7596 | − | 6.21203i | 0.545531 | − | 0.314962i | −0.201787 | − | 0.979430i | \(-0.564675\pi\) |
0.747318 | + | 0.664467i | \(0.231341\pi\) | |||||||
\(390\) | 11.5716 | − | 18.0978i | 0.585951 | − | 0.916419i | ||||
\(391\) | 11.8912i | 0.601362i | ||||||||
\(392\) | −16.0111 | + | 4.11656i | −0.808683 | + | 0.207918i | ||||
\(393\) | 4.85426 | − | 8.40782i | 0.244865 | − | 0.424118i | ||||
\(394\) | − | 1.30779i | − | 0.0658855i | ||||||
\(395\) | 10.7931 | − | 40.2804i | 0.543060 | − | 2.02673i | ||||
\(396\) | −0.444225 | − | 1.65787i | −0.0223232 | − | 0.0833111i | ||||
\(397\) | 22.8495 | − | 22.8495i | 1.14679 | − | 1.14679i | 0.159604 | − | 0.987181i | \(-0.448978\pi\) |
0.987181 | − | 0.159604i | \(-0.0510217\pi\) | |||||||
\(398\) | 9.18635 | − | 9.18635i | 0.460470 | − | 0.460470i | ||||
\(399\) | −1.93889 | − | 0.530077i | −0.0970658 | − | 0.0265371i | ||||
\(400\) | −37.6977 | − | 21.7648i | −1.88488 | − | 1.08824i | ||||
\(401\) | −3.64535 | + | 13.6046i | −0.182040 | + | 0.679383i | 0.813205 | + | 0.581978i | \(0.197721\pi\) |
−0.995245 | + | 0.0974054i | \(0.968946\pi\) | |||||||
\(402\) | −2.34304 | − | 4.05826i | −0.116860 | − | 0.202408i | ||||
\(403\) | −24.5468 | + | 22.4186i | −1.22276 | + | 1.11675i | ||||
\(404\) | −1.93627 | − | 1.11790i | −0.0963329 | − | 0.0556178i | ||||
\(405\) | −3.63307 | + | 0.973479i | −0.180529 | + | 0.0483726i | ||||
\(406\) | −11.4967 | − | 3.14312i | −0.570573 | − | 0.155990i | ||||
\(407\) | −33.0815 | + | 19.0996i | −1.63979 | + | 0.946731i | ||||
\(408\) | 2.04031 | + | 7.61452i | 0.101010 | + | 0.376975i | ||||
\(409\) | −28.4643 | + | 7.62699i | −1.40747 | + | 0.377130i | −0.881021 | − | 0.473077i | \(-0.843143\pi\) |
−0.526448 | + | 0.850207i | \(0.676477\pi\) | |||||||
\(410\) | −40.7741 | + | 10.9254i | −2.01369 | + | 0.539566i | ||||
\(411\) | −2.35211 | − | 8.77818i | −0.116021 | − | 0.432996i | ||||
\(412\) | −5.88804 | + | 3.39946i | −0.290083 | + | 0.167479i | ||||
\(413\) | 5.93266 | − | 5.87278i | 0.291927 | − | 0.288981i | ||||
\(414\) | 5.45060 | − | 1.46048i | 0.267883 | − | 0.0717789i | ||||
\(415\) | −6.96559 | − | 4.02159i | −0.341927 | − | 0.197412i | ||||
\(416\) | −3.06773 | + | 9.67392i | −0.150408 | + | 0.474303i | ||||
\(417\) | 5.11228 | + | 8.85473i | 0.250349 | + | 0.433618i | ||||
\(418\) | 1.05020 | − | 3.91941i | 0.0513671 | − | 0.191705i | ||||
\(419\) | 10.6429 | + | 6.14470i | 0.519941 | + | 0.300188i | 0.736911 | − | 0.675990i | \(-0.236284\pi\) |
−0.216970 | + | 0.976178i | \(0.569617\pi\) | |||||||
\(420\) | 4.89944 | − | 1.28620i | 0.239068 | − | 0.0627603i | ||||
\(421\) | 6.08177 | − | 6.08177i | 0.296407 | − | 0.296407i | −0.543197 | − | 0.839605i | \(-0.682787\pi\) |
0.839605 | + | 0.543197i | \(0.182787\pi\) | |||||||
\(422\) | −12.0392 | + | 12.0392i | −0.586060 | + | 0.586060i | ||||
\(423\) | −0.356118 | − | 1.32905i | −0.0173151 | − | 0.0646207i | ||||
\(424\) | 4.39232 | − | 16.3924i | 0.213310 | − | 0.796084i | ||||
\(425\) | 30.5316i | 1.48100i | ||||||||
\(426\) | 5.74291 | − | 9.94701i | 0.278245 | − | 0.481934i | ||||
\(427\) | 2.39479 | − | 1.36649i | 0.115892 | − | 0.0661289i | ||||
\(428\) | − | 0.0903814i | − | 0.00436875i | ||||||
\(429\) | 11.8735 | − | 2.61175i | 0.573259 | − | 0.126097i | ||||
\(430\) | 65.1155 | − | 37.5945i | 3.14015 | − | 1.81297i | ||||
\(431\) | −24.1214 | + | 24.1214i | −1.16189 | + | 1.16189i | −0.177826 | + | 0.984062i | \(0.556907\pi\) |
−0.984062 | + | 0.177826i | \(0.943093\pi\) | |||||||
\(432\) | 4.12137 | − | 2.37947i | 0.198289 | − | 0.114482i | ||||
\(433\) | −14.7993 | − | 25.6331i | −0.711209 | − | 1.23185i | −0.964403 | − | 0.264435i | \(-0.914815\pi\) |
0.253194 | − | 0.967415i | \(-0.418519\pi\) | |||||||
\(434\) | −38.6396 | − | 0.195971i | −1.85476 | − | 0.00940690i | ||||
\(435\) | −10.3324 | − | 2.76855i | −0.495399 | − | 0.132742i | ||||
\(436\) | 1.86954 | + | 1.86954i | 0.0895348 | + | 0.0895348i | ||||
\(437\) | 2.61426 | + | 0.700488i | 0.125057 | + | 0.0335089i | ||||
\(438\) | −1.71311 | + | 2.96720i | −0.0818558 | + | 0.141778i | ||||
\(439\) | 9.21425 | + | 15.9596i | 0.439772 | + | 0.761708i | 0.997672 | − | 0.0682006i | \(-0.0217258\pi\) |
−0.557899 | + | 0.829909i | \(0.688392\pi\) | |||||||
\(440\) | −7.75208 | − | 28.9311i | −0.369566 | − | 1.37924i | ||||
\(441\) | 3.56131 | − | 6.02636i | 0.169586 | − | 0.286970i | ||||
\(442\) | 18.6183 | − | 4.09536i | 0.885582 | − | 0.194796i | ||||
\(443\) | −2.87530 | + | 4.98017i | −0.136610 | + | 0.236615i | −0.926211 | − | 0.377005i | \(-0.876954\pi\) |
0.789601 | + | 0.613620i | \(0.210287\pi\) | |||||||
\(444\) | 4.07764 | + | 4.07764i | 0.193516 | + | 0.193516i | ||||
\(445\) | 11.9026 | 0.564236 | ||||||||
\(446\) | 9.41374 | 0.445753 | ||||||||
\(447\) | −10.6236 | − | 10.6236i | −0.502478 | − | 0.502478i | ||||
\(448\) | 11.6263 | − | 6.63404i | 0.549290 | − | 0.313429i | ||||
\(449\) | 5.09748 | − | 19.0241i | 0.240565 | − | 0.897801i | −0.734996 | − | 0.678072i | \(-0.762816\pi\) |
0.975561 | − | 0.219729i | \(-0.0705174\pi\) | |||||||
\(450\) | 13.9949 | − | 3.74992i | 0.659726 | − | 0.176773i | ||||
\(451\) | −20.6898 | − | 11.9453i | −0.974245 | − | 0.562480i | ||||
\(452\) | 10.1885i | 0.479227i | ||||||||
\(453\) | −0.268230 | − | 0.0718719i | −0.0126025 | − | 0.00337684i | ||||
\(454\) | 32.2930 | 1.51558 | ||||||||
\(455\) | 7.53021 | + | 35.0808i | 0.353022 | + | 1.64461i | ||||
\(456\) | 1.79423 | 0.0840227 | ||||||||
\(457\) | −3.00408 | − | 0.804940i | −0.140525 | − | 0.0376535i | 0.187871 | − | 0.982194i | \(-0.439841\pi\) |
−0.328396 | + | 0.944540i | \(0.606508\pi\) | |||||||
\(458\) | 13.5948i | 0.635243i | ||||||||
\(459\) | −2.89072 | − | 1.66896i | −0.134927 | − | 0.0779004i | ||||
\(460\) | −6.58812 | + | 1.76528i | −0.307173 | + | 0.0823066i | ||||
\(461\) | −8.13643 | + | 30.3656i | −0.378951 | + | 1.41427i | 0.468533 | + | 0.883446i | \(0.344783\pi\) |
−0.847485 | + | 0.530820i | \(0.821884\pi\) | |||||||
\(462\) | 12.2017 | + | 7.12742i | 0.567676 | + | 0.331598i | ||||
\(463\) | 10.2951 | + | 10.2951i | 0.478455 | + | 0.478455i | 0.904637 | − | 0.426182i | \(-0.140142\pi\) |
−0.426182 | + | 0.904637i | \(0.640142\pi\) | |||||||
\(464\) | 13.5343 | 0.628314 | ||||||||
\(465\) | −34.6791 | −1.60820 | ||||||||
\(466\) | 5.63204 | + | 5.63204i | 0.260899 | + | 0.260899i | ||||
\(467\) | 6.26532 | − | 10.8518i | 0.289924 | − | 0.502164i | −0.683867 | − | 0.729607i | \(-0.739703\pi\) |
0.973791 | + | 0.227443i | \(0.0730365\pi\) | |||||||
\(468\) | −0.844767 | − | 1.62934i | −0.0390493 | − | 0.0753162i | ||||
\(469\) | 7.55012 | + | 2.06414i | 0.348632 | + | 0.0953133i | ||||
\(470\) | 2.12167 | + | 7.91817i | 0.0978652 | + | 0.365238i | ||||
\(471\) | −0.157225 | − | 0.272321i | −0.00724453 | − | 0.0125479i | ||||
\(472\) | −3.72578 | + | 6.45323i | −0.171493 | + | 0.297034i | ||||
\(473\) | 41.1039 | + | 11.0138i | 1.88996 | + | 0.506413i | ||||
\(474\) | −12.4182 | − | 12.4182i | −0.570385 | − | 0.570385i | ||||
\(475\) | 6.71233 | + | 1.79856i | 0.307983 | + | 0.0825238i | ||||
\(476\) | 3.88164 | + | 2.26739i | 0.177915 | + | 0.103926i | ||||
\(477\) | 3.59290 | + | 6.22308i | 0.164508 | + | 0.284935i | ||||
\(478\) | 22.6141 | − | 13.0562i | 1.03434 | − | 0.597179i | ||||
\(479\) | 14.8262 | − | 14.8262i | 0.677424 | − | 0.677424i | −0.281992 | − | 0.959417i | \(-0.590995\pi\) |
0.959417 | + | 0.281992i | \(0.0909953\pi\) | |||||||
\(480\) | −9.16852 | + | 5.29344i | −0.418484 | + | 0.241612i | ||||
\(481\) | −30.1609 | + | 27.5459i | −1.37522 | + | 1.25599i | ||||
\(482\) | 8.94218i | 0.407305i | ||||||||
\(483\) | −4.75401 | + | 8.13859i | −0.216315 | + | 0.370318i | ||||
\(484\) | −0.0940112 | + | 0.162832i | −0.00427324 | + | 0.00740146i | ||||
\(485\) | 46.9394i | 2.13141i | ||||||||
\(486\) | −0.409967 | + | 1.53002i | −0.0185965 | + | 0.0694030i | ||||
\(487\) | 2.79170 | + | 10.4187i | 0.126504 | + | 0.472119i | 0.999889 | − | 0.0149118i | \(-0.00474676\pi\) |
−0.873385 | + | 0.487030i | \(0.838080\pi\) | |||||||
\(488\) | −1.74033 | + | 1.74033i | −0.0787811 | + | 0.0787811i | ||||
\(489\) | 0.667599 | − | 0.667599i | 0.0301899 | − | 0.0301899i | ||||
\(490\) | −21.2174 | + | 35.9036i | −0.958506 | + | 1.62196i | ||||
\(491\) | 30.7318 | + | 17.7430i | 1.38691 | + | 0.800730i | 0.992965 | − | 0.118406i | \(-0.0377785\pi\) |
0.393940 | + | 0.919136i | \(0.371112\pi\) | |||||||
\(492\) | −0.933452 | + | 3.48369i | −0.0420833 | + | 0.157057i | ||||
\(493\) | −4.74647 | − | 8.22113i | −0.213770 | − | 0.370261i | ||||
\(494\) | 0.196412 | − | 4.33446i | 0.00883698 | − | 0.195016i | ||||
\(495\) | 10.9832 | + | 6.34116i | 0.493659 | + | 0.285014i | ||||
\(496\) | 42.3830 | − | 11.3565i | 1.90305 | − | 0.509921i | ||||
\(497\) | 4.87136 | + | 18.5561i | 0.218510 | + | 0.832355i | ||||
\(498\) | −2.93346 | + | 1.69363i | −0.131451 | + | 0.0758935i | ||||
\(499\) | 1.32898 | + | 4.95983i | 0.0594935 | + | 0.222033i | 0.989272 | − | 0.146088i | \(-0.0466681\pi\) |
−0.929778 | + | 0.368120i | \(0.880001\pi\) | |||||||
\(500\) | −7.66895 | + | 2.05489i | −0.342966 | + | 0.0918974i | ||||
\(501\) | −2.33851 | + | 0.626601i | −0.104477 | + | 0.0279945i | ||||
\(502\) | −4.54429 | − | 16.9595i | −0.202821 | − | 0.756940i | ||||
\(503\) | 31.3005 | − | 18.0713i | 1.39562 | − | 0.805761i | 0.401690 | − | 0.915776i | \(-0.368423\pi\) |
0.993930 | + | 0.110015i | \(0.0350897\pi\) | |||||||
\(504\) | −1.64781 | + | 6.02726i | −0.0733991 | + | 0.268475i | ||||
\(505\) | 15.9577 | − | 4.27585i | 0.710108 | − | 0.190273i | ||||
\(506\) | −16.4778 | − | 9.51348i | −0.732529 | − | 0.422926i | ||||
\(507\) | 11.8001 | − | 5.45513i | 0.524059 | − | 0.242271i | ||||
\(508\) | 1.98239 | + | 3.43361i | 0.0879546 | + | 0.152342i | ||||
\(509\) | 7.45841 | − | 27.8352i | 0.330588 | − | 1.23377i | −0.577985 | − | 0.816047i | \(-0.696161\pi\) |
0.908574 | − | 0.417725i | \(-0.137172\pi\) | |||||||
\(510\) | 17.2222 | + | 9.94326i | 0.762614 | + | 0.440295i | ||||
\(511\) | −1.45313 | − | 5.53530i | −0.0642827 | − | 0.244867i | ||||
\(512\) | −6.42274 | + | 6.42274i | −0.283848 | + | 0.283848i | ||||
\(513\) | −0.537206 | + | 0.537206i | −0.0237182 | + | 0.0237182i | ||||
\(514\) | 0.985235 | + | 3.67695i | 0.0434569 | + | 0.162183i | ||||
\(515\) | 13.0025 | − | 48.5261i | 0.572960 | − | 2.13832i | ||||
\(516\) | − | 6.42406i | − | 0.282803i | ||||||
\(517\) | −2.31972 | + | 4.01788i | −0.102021 | + | 0.176706i | ||||
\(518\) | −47.4768 | − | 0.240791i | −2.08601 | − | 0.0105797i | ||||
\(519\) | − | 17.2215i | − | 0.755941i | ||||||
\(520\) | −14.7418 | − | 28.4332i | −0.646472 | − | 1.24688i | ||||
\(521\) | 15.6852 | − | 9.05586i | 0.687182 | − | 0.396745i | −0.115374 | − | 0.993322i | \(-0.536807\pi\) |
0.802555 | + | 0.596578i | \(0.203473\pi\) | |||||||
\(522\) | −3.18539 | + | 3.18539i | −0.139421 | + | 0.139421i | ||||
\(523\) | 1.47572 | − | 0.852009i | 0.0645288 | − | 0.0372557i | −0.467388 | − | 0.884052i | \(-0.654805\pi\) |
0.531917 | + | 0.846796i | \(0.321472\pi\) | |||||||
\(524\) | 2.47094 | + | 4.27979i | 0.107943 | + | 0.186963i | ||||
\(525\) | −12.2063 | + | 20.8965i | −0.532728 | + | 0.911999i | ||||
\(526\) | 39.9711 | + | 10.7102i | 1.74282 | + | 0.466988i | ||||
\(527\) | −21.7620 | − | 21.7620i | −0.947966 | − | 0.947966i | ||||
\(528\) | −15.4997 | − | 4.15313i | −0.674537 | − | 0.180742i | ||||
\(529\) | −5.15449 | + | 8.92783i | −0.224108 | + | 0.388167i | ||||
\(530\) | −21.4056 | − | 37.0756i | −0.929801 | − | 1.61046i | ||||
\(531\) | −0.816620 | − | 3.04767i | −0.0354383 | − | 0.132257i | ||||
\(532\) | 0.727144 | − | 0.719805i | 0.0315257 | − | 0.0312075i | ||||
\(533\) | −24.3513 | − | 7.72212i | −1.05477 | − | 0.334482i | ||||
\(534\) | 2.50630 | − | 4.34103i | 0.108458 | − | 0.187855i | ||||
\(535\) | 0.472233 | + | 0.472233i | 0.0204164 | + | 0.0204164i | ||||
\(536\) | −6.98683 | −0.301785 | ||||||||
\(537\) | 3.44245 | 0.148553 | ||||||||
\(538\) | 29.5920 | + | 29.5920i | 1.27580 | + | 1.27580i | ||||
\(539\) | −22.8595 | + | 5.87733i | −0.984628 | + | 0.253154i | ||||
\(540\) | 0.495525 | − | 1.84932i | 0.0213240 | − | 0.0795822i | ||||
\(541\) | 7.67860 | − | 2.05747i | 0.330129 | − | 0.0884577i | −0.0899476 | − | 0.995946i | \(-0.528670\pi\) |
0.420076 | + | 0.907489i | \(0.362003\pi\) | |||||||
\(542\) | 10.3898 | + | 5.99856i | 0.446280 | + | 0.257660i | ||||
\(543\) | 25.9767i | 1.11477i | ||||||||
\(544\) | −9.07523 | − | 2.43170i | −0.389097 | − | 0.104258i | ||||
\(545\) | −19.5363 | −0.836842 | ||||||||
\(546\) | 14.3801 | + | 4.64052i | 0.615411 | + | 0.198596i | ||||
\(547\) | −45.6503 | −1.95187 | −0.975933 | − | 0.218072i | \(-0.930023\pi\) | ||||
−0.975933 | + | 0.218072i | \(0.930023\pi\) | |||||||
\(548\) | 4.46831 | + | 1.19728i | 0.190877 | + | 0.0511452i | ||||
\(549\) | − | 1.04213i | − | 0.0444772i | ||||||
\(550\) | −42.3083 | − | 24.4267i | −1.80403 | − | 1.04156i | ||||
\(551\) | −2.08701 | + | 0.559213i | −0.0889097 | + | 0.0238233i | ||||
\(552\) | 2.17755 | − | 8.12672i | 0.0926826 | − | 0.345896i | ||||
\(553\) | 29.3334 | + | 0.148772i | 1.24738 | + | 0.00632643i | ||||
\(554\) | 25.2493 | + | 25.2493i | 1.07274 | + | 1.07274i | ||||
\(555\) | −42.6105 | −1.80871 | ||||||||
\(556\) | −5.20455 | −0.220722 | ||||||||
\(557\) | −8.86445 | − | 8.86445i | −0.375599 | − | 0.375599i | 0.493913 | − | 0.869511i | \(-0.335566\pi\) |
−0.869511 | + | 0.493913i | \(0.835566\pi\) | |||||||
\(558\) | −7.30230 | + | 12.6480i | −0.309131 | + | 0.535431i | ||||
\(559\) | 45.4566 | + | 2.05982i | 1.92261 | + | 0.0871211i | ||||
\(560\) | 12.4889 | − | 45.6812i | 0.527752 | − | 1.93038i | ||||
\(561\) | 2.91300 | + | 10.8715i | 0.122987 | + | 0.458994i | ||||
\(562\) | 8.66336 | + | 15.0054i | 0.365442 | + | 0.632963i | ||||
\(563\) | −7.35106 | + | 12.7324i | −0.309810 | + | 0.536607i | −0.978321 | − | 0.207096i | \(-0.933599\pi\) |
0.668510 | + | 0.743703i | \(0.266932\pi\) | |||||||
\(564\) | 0.676520 | + | 0.181273i | 0.0284866 | + | 0.00763297i | ||||
\(565\) | −53.2338 | − | 53.2338i | −2.23956 | − | 2.23956i | ||||
\(566\) | −27.1279 | − | 7.26891i | −1.14027 | − | 0.305535i | ||||
\(567\) | −1.31124 | − | 2.29797i | −0.0550668 | − | 0.0965056i | ||||
\(568\) | −8.56254 | − | 14.8308i | −0.359276 | − | 0.622285i | ||||
\(569\) | −18.3098 | + | 10.5712i | −0.767588 | + | 0.443167i | −0.832014 | − | 0.554755i | \(-0.812812\pi\) |
0.0644254 | + | 0.997923i | \(0.479479\pi\) | |||||||
\(570\) | 3.20055 | − | 3.20055i | 0.134056 | − | 0.134056i | ||||
\(571\) | 2.38493 | − | 1.37694i | 0.0998064 | − | 0.0576232i | −0.449266 | − | 0.893398i | \(-0.648314\pi\) |
0.549072 | + | 0.835775i | \(0.314981\pi\) | |||||||
\(572\) | −1.87062 | + | 5.89891i | −0.0782147 | + | 0.246646i | ||||
\(573\) | − | 2.98307i | − | 0.124620i | ||||||
\(574\) | −14.7161 | − | 25.7901i | −0.614236 | − | 1.07646i | ||||
\(575\) | 16.2927 | − | 28.2197i | 0.679451 | − | 1.17684i | ||||
\(576\) | − | 5.05937i | − | 0.210807i | ||||||
\(577\) | −1.61848 | + | 6.04026i | −0.0673783 | + | 0.251459i | −0.991397 | − | 0.130888i | \(-0.958217\pi\) |
0.924019 | + | 0.382347i | \(0.124884\pi\) | |||||||
\(578\) | −2.40170 | − | 8.96328i | −0.0998977 | − | 0.372823i | ||||
\(579\) | 1.84850 | − | 1.84850i | 0.0768211 | − | 0.0768211i | ||||
\(580\) | 3.85016 | − | 3.85016i | 0.159869 | − | 0.159869i | ||||
\(581\) | 1.49204 | − | 5.45749i | 0.0619002 | − | 0.226415i | ||||
\(582\) | 17.1195 | + | 9.88393i | 0.709624 | + | 0.409702i | ||||
\(583\) | 6.27104 | − | 23.4038i | 0.259720 | − | 0.969288i | ||||
\(584\) | 2.55421 | + | 4.42403i | 0.105694 | + | 0.183067i | ||||
\(585\) | 12.9269 | + | 4.09930i | 0.534463 | + | 0.169485i | ||||
\(586\) | −17.6821 | − | 10.2088i | −0.730441 | − | 0.421720i | ||||
\(587\) | 15.8338 | − | 4.24265i | 0.653530 | − | 0.175113i | 0.0832057 | − | 0.996532i | \(-0.473484\pi\) |
0.570324 | + | 0.821420i | \(0.306817\pi\) | |||||||
\(588\) | 1.75019 | + | 3.10371i | 0.0721768 | + | 0.127995i | ||||
\(589\) | −6.06630 | + | 3.50238i | −0.249958 | + | 0.144313i | ||||
\(590\) | 4.86523 | + | 18.1573i | 0.200298 | + | 0.747523i | ||||
\(591\) | 0.797498 | − | 0.213689i | 0.0328047 | − | 0.00878999i | ||||
\(592\) | 52.0763 | − | 13.9538i | 2.14032 | − | 0.573497i | ||||
\(593\) | 3.98614 | + | 14.8765i | 0.163691 | + | 0.610904i | 0.998203 | + | 0.0599148i | \(0.0190829\pi\) |
−0.834512 | + | 0.550989i | \(0.814250\pi\) | |||||||
\(594\) | 4.62542 | − | 2.67049i | 0.189783 | − | 0.109571i | ||||
\(595\) | −32.1280 | + | 8.43426i | −1.31712 | + | 0.345771i | ||||
\(596\) | 7.38701 | − | 1.97934i | 0.302584 | − | 0.0810770i | ||||
\(597\) | 7.10291 | + | 4.10087i | 0.290703 | + | 0.167837i | ||||
\(598\) | −19.3939 | − | 6.15007i | −0.793076 | − | 0.251495i | ||||
\(599\) | 13.0357 | + | 22.5784i | 0.532623 | + | 0.922530i | 0.999274 | + | 0.0380886i | \(0.0121269\pi\) |
−0.466651 | + | 0.884441i | \(0.654540\pi\) | |||||||
\(600\) | 5.59104 | − | 20.8661i | 0.228253 | − | 0.851853i | ||||
\(601\) | 36.7529 | + | 21.2193i | 1.49918 | + | 0.865554i | 1.00000 | 0.000942846i | \(-0.000300117\pi\) | |
0.499183 | + | 0.866496i | \(0.333633\pi\) | |||||||
\(602\) | 37.2086 | + | 37.5880i | 1.51651 | + | 1.53197i | ||||
\(603\) | 2.09191 | − | 2.09191i | 0.0851890 | − | 0.0851890i | ||||
\(604\) | 0.0999508 | − | 0.0999508i | 0.00406694 | − | 0.00406694i | ||||
\(605\) | −0.359582 | − | 1.34198i | −0.0146191 | − | 0.0545591i | ||||
\(606\) | 1.80071 | − | 6.72036i | 0.0731490 | − | 0.272996i | ||||
\(607\) | − | 6.78525i | − | 0.275405i | −0.990474 | − | 0.137702i | \(-0.956028\pi\) | ||
0.990474 | − | 0.137702i | \(-0.0439718\pi\) | |||||||
\(608\) | −1.06921 | + | 1.85193i | −0.0433623 | + | 0.0751057i | ||||
\(609\) | 0.0381616 | − | 7.52434i | 0.00154639 | − | 0.304902i | ||||
\(610\) | 6.20879i | 0.251386i | ||||||||
\(611\) | −1.49961 | + | 4.72893i | −0.0606676 | + | 0.191312i | ||||
\(612\) | 1.47145 | − | 0.849541i | 0.0594798 | − | 0.0343407i | ||||
\(613\) | −24.0356 | + | 24.0356i | −0.970790 | + | 0.970790i | −0.999585 | − | 0.0287955i | \(-0.990833\pi\) |
0.0287955 | + | 0.999585i | \(0.490833\pi\) | |||||||
\(614\) | −11.2966 | + | 6.52211i | −0.455895 | + | 0.263211i | ||||
\(615\) | −13.3247 | − | 23.0791i | −0.537304 | − | 0.930638i | ||||
\(616\) | 18.2993 | − | 10.4417i | 0.737301 | − | 0.420710i | ||||
\(617\) | −7.13892 | − | 1.91287i | −0.287402 | − | 0.0770091i | 0.112238 | − | 0.993681i | \(-0.464198\pi\) |
−0.399640 | + | 0.916672i | \(0.630865\pi\) | |||||||
\(618\) | −14.9602 | − | 14.9602i | −0.601789 | − | 0.601789i | ||||
\(619\) | 0.685897 | + | 0.183786i | 0.0275685 | + | 0.00738697i | 0.272577 | − | 0.962134i | \(-0.412124\pi\) |
−0.245008 | + | 0.969521i | \(0.578791\pi\) | |||||||
\(620\) | 8.82625 | − | 15.2875i | 0.354471 | − | 0.613961i | ||||
\(621\) | 1.78122 | + | 3.08517i | 0.0714780 | + | 0.123804i | ||||
\(622\) | −11.0924 | − | 41.3973i | −0.444764 | − | 1.65988i | ||||
\(623\) | 2.12594 | + | 8.09817i | 0.0851739 | + | 0.324446i | ||||
\(624\) | −17.1410 | − | 0.776728i | −0.686190 | − | 0.0310940i | ||||
\(625\) | 6.46561 | − | 11.1988i | 0.258624 | − | 0.447951i | ||||
\(626\) | −15.3755 | − | 15.3755i | −0.614527 | − | 0.614527i | ||||
\(627\) | 2.56168 | 0.102304 | ||||||||
\(628\) | 0.160062 | 0.00638718 | ||||||||
\(629\) | −26.7391 | − | 26.7391i | −1.06616 | − | 1.06616i | ||||
\(630\) | 7.81204 | + | 13.6907i | 0.311239 | + | 0.545452i | ||||
\(631\) | 7.80744 | − | 29.1378i | 0.310809 | − | 1.15996i | −0.617019 | − | 0.786948i | \(-0.711660\pi\) |
0.927828 | − | 0.373008i | \(-0.121674\pi\) | |||||||
\(632\) | −25.2922 | + | 6.77702i | −1.00607 | + | 0.269575i | ||||
\(633\) | −9.30875 | − | 5.37441i | −0.369989 | − | 0.213614i | ||||
\(634\) | 3.67013i | 0.145760i | ||||||||
\(635\) | −28.2980 | − | 7.58243i | −1.12297 | − | 0.300900i | ||||
\(636\) | −3.65775 | −0.145039 | ||||||||
\(637\) | −22.5230 | + | 11.3892i | −0.892395 | + | 0.451256i | ||||
\(638\) | 15.1896 | 0.601361 | ||||||||
\(639\) | 7.00412 | + | 1.87675i | 0.277079 | + | 0.0742430i | ||||
\(640\) | 51.3163i | 2.02845i | ||||||||
\(641\) | −12.5033 | − | 7.21880i | −0.493852 | − | 0.285126i | 0.232319 | − | 0.972640i | \(-0.425369\pi\) |
−0.726171 | + | 0.687514i | \(0.758702\pi\) | |||||||
\(642\) | 0.271667 | − | 0.0727929i | 0.0107218 | − | 0.00287291i | ||||
\(643\) | 4.71705 | − | 17.6043i | 0.186022 | − | 0.694244i | −0.808387 | − | 0.588651i | \(-0.799659\pi\) |
0.994409 | − | 0.105593i | \(-0.0336741\pi\) | |||||||
\(644\) | −2.37776 | − | 4.16707i | −0.0936970 | − | 0.164206i | ||||
\(645\) | 33.5650 | + | 33.5650i | 1.32162 | + | 1.32162i | ||||
\(646\) | 4.01684 | 0.158040 | ||||||||
\(647\) | 37.7666 | 1.48476 | 0.742379 | − | 0.669980i | \(-0.233697\pi\) | ||||
0.742379 | + | 0.669980i | \(0.233697\pi\) | |||||||
\(648\) | 1.66997 | + | 1.66997i | 0.0656025 | + | 0.0656025i | ||||
\(649\) | −5.31939 | + | 9.21346i | −0.208804 | + | 0.361660i | ||||
\(650\) | −49.7956 | − | 15.7909i | −1.95314 | − | 0.619368i | ||||
\(651\) | −6.19409 | − | 23.5947i | −0.242766 | − | 0.924749i | ||||
\(652\) | 0.124384 | + | 0.464209i | 0.00487127 | + | 0.0181798i | ||||
\(653\) | 13.2771 | + | 22.9966i | 0.519573 | + | 0.899927i | 0.999741 | + | 0.0227503i | \(0.00724227\pi\) |
−0.480168 | + | 0.877176i | \(0.659424\pi\) | |||||||
\(654\) | −4.11371 | + | 7.12516i | −0.160859 | + | 0.278616i | ||||
\(655\) | −35.2718 | − | 9.45104i | −1.37818 | − | 0.369283i | ||||
\(656\) | 23.8426 | + | 23.8426i | 0.930896 | + | 0.930896i | ||||
\(657\) | −2.08933 | − | 0.559835i | −0.0815127 | − | 0.0218413i | ||||
\(658\) | −5.00835 | + | 2.85780i | −0.195246 | + | 0.111409i | ||||
\(659\) | 2.28186 | + | 3.95230i | 0.0888888 | + | 0.153960i | 0.907042 | − | 0.421041i | \(-0.138335\pi\) |
−0.818153 | + | 0.575001i | \(0.805002\pi\) | |||||||
\(660\) | −5.59072 | + | 3.22781i | −0.217619 | + | 0.125642i | ||||
\(661\) | 29.7654 | − | 29.7654i | 1.15774 | − | 1.15774i | 0.172778 | − | 0.984961i | \(-0.444726\pi\) |
0.984961 | − | 0.172778i | \(-0.0552743\pi\) | |||||||
\(662\) | −35.4369 | + | 20.4595i | −1.37730 | + | 0.795182i | ||||
\(663\) | 5.53954 | + | 10.6844i | 0.215138 | + | 0.414946i | ||||
\(664\) | 5.05033i | 0.195991i | ||||||||
\(665\) | −0.0383432 | + | 7.56014i | −0.00148689 | + | 0.293170i | ||||
\(666\) | −8.97239 | + | 15.5406i | −0.347673 | + | 0.602187i | ||||
\(667\) | 10.1315i | 0.392293i | ||||||||
\(668\) | 0.318955 | − | 1.19036i | 0.0123407 | − | 0.0460563i | ||||
\(669\) | 1.53818 | + | 5.74055i | 0.0594693 | + | 0.221942i | ||||
\(670\) | −12.4631 | + | 12.4631i | −0.481490 | + | 0.481490i | ||||
\(671\) | −2.48472 | + | 2.48472i | −0.0959215 | + | 0.0959215i | ||||
\(672\) | −5.23912 | − | 5.29253i | −0.202103 | − | 0.204164i | ||||
\(673\) | −22.4576 | − | 12.9659i | −0.865675 | − | 0.499798i | 0.000233516 | − | 1.00000i | \(-0.499926\pi\) |
−0.865909 | + | 0.500202i | \(0.833259\pi\) | |||||||
\(674\) | 13.2860 | − | 49.5839i | 0.511756 | − | 1.90990i | ||||
\(675\) | 4.57345 | + | 7.92144i | 0.176032 | + | 0.304897i | ||||
\(676\) | −0.598485 | + | 6.59020i | −0.0230187 | + | 0.253469i | ||||
\(677\) | 15.4910 | + | 8.94374i | 0.595368 | + | 0.343736i | 0.767217 | − | 0.641387i | \(-0.221641\pi\) |
−0.171849 | + | 0.985123i | \(0.554974\pi\) | |||||||
\(678\) | −30.6245 | + | 8.20580i | −1.17613 | + | 0.315142i | ||||
\(679\) | −31.9363 | + | 8.38393i | −1.22560 | + | 0.321746i | ||||
\(680\) | 25.6779 | − | 14.8252i | 0.984704 | − | 0.568519i | ||||
\(681\) | 5.27657 | + | 19.6924i | 0.202199 | + | 0.754616i | ||||
\(682\) | 47.5666 | − | 12.7454i | 1.82142 | − | 0.488047i | ||||
\(683\) | 30.8734 | − | 8.27250i | 1.18134 | − | 0.316538i | 0.385881 | − | 0.922549i | \(-0.373898\pi\) |
0.795457 | + | 0.606010i | \(0.207231\pi\) | |||||||
\(684\) | −0.100090 | − | 0.373541i | −0.00382704 | − | 0.0142827i | ||||
\(685\) | −29.6021 | + | 17.0908i | −1.13104 | + | 0.653004i | ||||
\(686\) | −28.2175 | − | 8.02294i | −1.07735 | − | 0.306317i | ||||
\(687\) | −8.29019 | + | 2.22135i | −0.316290 | + | 0.0847497i | ||||
\(688\) | −52.0130 | − | 30.0297i | −1.98298 | − | 1.14487i | ||||
\(689\) | 1.17283 | − | 25.8822i | 0.0446811 | − | 0.986033i | ||||
\(690\) | −10.6121 | − | 18.3807i | −0.403996 | − | 0.699741i | ||||
\(691\) | −3.88609 | + | 14.5031i | −0.147834 | + | 0.551723i | 0.851779 | + | 0.523901i | \(0.175524\pi\) |
−0.999613 | + | 0.0278221i | \(0.991143\pi\) | |||||||
\(692\) | 7.59173 | + | 4.38309i | 0.288594 | + | 0.166620i | ||||
\(693\) | −2.35262 | + | 8.60528i | −0.0893686 | + | 0.326888i | ||||
\(694\) | −34.7456 | + | 34.7456i | −1.31893 | + | 1.31893i | ||||
\(695\) | 27.1932 | − | 27.1932i | 1.03150 | − | 1.03150i | ||||
\(696\) | 1.73838 | + | 6.48772i | 0.0658931 | + | 0.245916i | ||||
\(697\) | 6.12110 | − | 22.8443i | 0.231853 | − | 0.865288i | ||||
\(698\) | 0.870416i | 0.0329457i | ||||||||
\(699\) | −2.51419 | + | 4.35471i | −0.0950955 | + | 0.164710i | ||||
\(700\) | −6.10511 | − | 10.6993i | −0.230752 | − | 0.404396i | ||||
\(701\) | − | 17.3022i | − | 0.653495i | −0.945112 | − | 0.326747i | \(-0.894047\pi\) | ||
0.945112 | − | 0.326747i | \(-0.105953\pi\) | |||||||
\(702\) | 4.21707 | − | 3.85145i | 0.159163 | − | 0.145364i | ||||
\(703\) | −7.45371 | + | 4.30340i | −0.281122 | + | 0.162306i | ||||
\(704\) | −12.0628 | + | 12.0628i | −0.454636 | + | 0.454636i | ||||
\(705\) | −4.48187 | + | 2.58761i | −0.168797 | + | 0.0974550i | ||||
\(706\) | 9.79802 | + | 16.9707i | 0.368753 | + | 0.638700i | ||||
\(707\) | 5.75940 | + | 10.0935i | 0.216605 | + | 0.379604i | ||||
\(708\) | 1.55134 | + | 0.415679i | 0.0583028 | + | 0.0156222i | ||||
\(709\) | 9.82865 | + | 9.82865i | 0.369123 | + | 0.369123i | 0.867157 | − | 0.498034i | \(-0.165945\pi\) |
−0.498034 | + | 0.867157i | \(0.665945\pi\) | |||||||
\(710\) | −41.7289 | − | 11.1812i | −1.56606 | − | 0.419623i | ||||
\(711\) | 5.54357 | − | 9.60175i | 0.207900 | − | 0.360094i | ||||
\(712\) | −3.73683 | − | 6.47237i | −0.140043 | − | 0.242562i | ||||
\(713\) | 8.50123 | + | 31.7270i | 0.318374 | + | 1.18819i | ||||
\(714\) | −3.68902 | + | 13.4935i | −0.138058 | + | 0.504982i | ||||
\(715\) | −21.0473 | − | 40.5949i | −0.787126 | − | 1.51816i | ||||
\(716\) | −0.876146 | + | 1.51753i | −0.0327431 | + | 0.0567128i | ||||
\(717\) | 11.6568 | + | 11.6568i | 0.435333 | + | 0.435333i | ||||
\(718\) | 11.5342 | 0.430453 | ||||||||
\(719\) | 49.1299 | 1.83224 | 0.916118 | − | 0.400909i | \(-0.131306\pi\) | ||||
0.916118 | + | 0.400909i | \(0.131306\pi\) | |||||||
\(720\) | −12.6569 | − | 12.6569i | −0.471693 | − | 0.471693i | ||||
\(721\) | 35.3382 | + | 0.179227i | 1.31606 | + | 0.00667476i | ||||
\(722\) | −7.55274 | + | 28.1872i | −0.281084 | + | 1.04902i | ||||
\(723\) | −5.45299 | + | 1.46113i | −0.202799 | + | 0.0543398i | ||||
\(724\) | −11.4513 | − | 6.61139i | −0.425583 | − | 0.245711i | ||||
\(725\) | 26.0135i | 0.966117i | ||||||||
\(726\) | −0.565154 | − | 0.151433i | −0.0209748 | − | 0.00562019i | ||||
\(727\) | −19.4676 | −0.722014 | −0.361007 | − | 0.932563i | \(-0.617567\pi\) | ||||
−0.361007 | + | 0.932563i | \(0.617567\pi\) | |||||||
\(728\) | 16.7121 | − | 15.1084i | 0.619392 | − | 0.559956i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 12.4477 | + | 3.33536i | 0.460712 | + | 0.123447i | ||||
\(731\) | 42.1257i | 1.55807i | ||||||||
\(732\) | 0.459402 | + | 0.265236i | 0.0169800 | + | 0.00980340i | ||||
\(733\) | 6.78026 | − | 1.81677i | 0.250435 | − | 0.0671038i | −0.131418 | − | 0.991327i | \(-0.541953\pi\) |
0.381852 | + | 0.924223i | \(0.375286\pi\) | |||||||
\(734\) | −1.76768 | + | 6.59709i | −0.0652464 | + | 0.243503i | ||||
\(735\) | −25.3611 | − | 7.07196i | −0.935458 | − | 0.260853i | ||||
\(736\) | 7.09041 | + | 7.09041i | 0.261356 | + | 0.261356i | ||||
\(737\) | −9.97529 | −0.367444 | ||||||||
\(738\) | −11.2230 | −0.413125 | ||||||||
\(739\) | 28.2471 | + | 28.2471i | 1.03909 | + | 1.03909i | 0.999204 | + | 0.0398827i | \(0.0126984\pi\) |
0.0398827 | + | 0.999204i | \(0.487302\pi\) | |||||||
\(740\) | 10.8449 | − | 18.7839i | 0.398666 | − | 0.690509i | ||||
\(741\) | 2.67527 | − | 0.588464i | 0.0982785 | − | 0.0216178i | ||||
\(742\) | 21.4019 | − | 21.1859i | 0.785690 | − | 0.777760i | ||||
\(743\) | −9.49010 | − | 35.4175i | −0.348158 | − | 1.29934i | −0.888879 | − | 0.458141i | \(-0.848515\pi\) |
0.540721 | − | 0.841202i | \(-0.318151\pi\) | |||||||
\(744\) | 10.8875 | + | 18.8578i | 0.399157 | + | 0.691360i | ||||
\(745\) | −28.2544 | + | 48.9381i | −1.03516 | + | 1.79295i | ||||
\(746\) | 26.2781 | + | 7.04119i | 0.962109 | + | 0.257796i | ||||
\(747\) | −1.51210 | − | 1.51210i | −0.0553250 | − | 0.0553250i | ||||
\(748\) | −5.53384 | − | 1.48279i | −0.202337 | − | 0.0542161i | ||||
\(749\) | −0.236948 | + | 0.405640i | −0.00865788 | + | 0.0148218i | ||||
\(750\) | −12.3531 | − | 21.3962i | −0.451072 | − | 0.781279i | ||||
\(751\) | 16.8445 | − | 9.72520i | 0.614666 | − | 0.354877i | −0.160124 | − | 0.987097i | \(-0.551189\pi\) |
0.774789 | + | 0.632220i | \(0.217856\pi\) | |||||||
\(752\) | 4.63013 | − | 4.63013i | 0.168844 | − | 0.168844i | ||||
\(753\) | 9.59948 | − | 5.54226i | 0.349825 | − | 0.201971i | ||||
\(754\) | 15.8631 | − | 3.48932i | 0.577701 | − | 0.127074i | ||||
\(755\) | 1.04446i | 0.0380119i | ||||||||
\(756\) | 1.34673 | + | 0.00683031i | 0.0489803 | + | 0.000248416i | ||||
\(757\) | 3.02968 | − | 5.24756i | 0.110116 | − | 0.190726i | −0.805701 | − | 0.592322i | \(-0.798211\pi\) |
0.915817 | + | 0.401597i | \(0.131545\pi\) | |||||||
\(758\) | − | 3.68944i | − | 0.134006i | ||||||
\(759\) | 3.10894 | − | 11.6027i | 0.112848 | − | 0.421153i | ||||
\(760\) | −1.74665 | − | 6.51859i | −0.0633577 | − | 0.236454i | ||||
\(761\) | 21.3246 | − | 21.3246i | 0.773016 | − | 0.773016i | −0.205616 | − | 0.978633i | \(-0.565920\pi\) |
0.978633 | + | 0.205616i | \(0.0659199\pi\) | |||||||
\(762\) | −8.72407 | + | 8.72407i | −0.316040 | + | 0.316040i | ||||
\(763\) | −3.48941 | − | 13.2919i | −0.126325 | − | 0.481200i | ||||
\(764\) | 1.31502 | + | 0.759229i | 0.0475759 | + | 0.0274679i | ||||
\(765\) | −3.24940 | + | 12.1269i | −0.117482 | + | 0.438449i | ||||
\(766\) | 21.8270 | + | 37.8055i | 0.788641 | + | 1.36597i | ||||
\(767\) | −3.43877 | + | 10.8440i | −0.124167 | + | 0.391553i | ||||
\(768\) | 9.95269 | + | 5.74619i | 0.359137 | + | 0.207348i | ||||
\(769\) | −22.1109 | + | 5.92460i | −0.797339 | + | 0.213646i | −0.634415 | − | 0.772992i | \(-0.718759\pi\) |
−0.162924 | + | 0.986639i | \(0.552092\pi\) | |||||||
\(770\) | 14.0163 | − | 51.2682i | 0.505114 | − | 1.84758i | ||||
\(771\) | −2.08124 | + | 1.20160i | −0.0749540 | + | 0.0432747i | ||||
\(772\) | 0.344405 | + | 1.28534i | 0.0123954 | + | 0.0462603i | ||||
\(773\) | 14.5083 | − | 3.88749i | 0.521827 | − | 0.139823i | 0.0117156 | − | 0.999931i | \(-0.496271\pi\) |
0.510112 | + | 0.860108i | \(0.329604\pi\) | |||||||
\(774\) | 19.3093 | − | 5.17392i | 0.694059 | − | 0.185973i | ||||
\(775\) | 21.8277 | + | 81.4619i | 0.784073 | + | 2.92620i | ||||
\(776\) | 25.5247 | − | 14.7367i | 0.916283 | − | 0.529016i | ||||
\(777\) | −7.61073 | − | 28.9910i | −0.273033 | − | 1.04004i | ||||
\(778\) | −19.0090 | + | 5.09345i | −0.681506 | + | 0.182609i | ||||
\(779\) | −4.66170 | − | 2.69143i | −0.167023 | − | 0.0964306i | ||||
\(780\) | −5.09715 | + | 4.65523i | −0.182507 | + | 0.166684i | ||||
\(781\) | −12.2250 | − | 21.1743i | −0.437444 | − | 0.757675i | ||||
\(782\) | 4.87498 | − | 18.1937i | 0.174329 | − | 0.650605i | ||||
\(783\) | −2.46295 | − | 1.42199i | −0.0880187 | − | 0.0508176i | ||||
\(784\) | 33.3109 | + | 0.337898i | 1.18967 | + | 0.0120678i | ||||
\(785\) | −0.836308 | + | 0.836308i | −0.0298491 | + | 0.0298491i | ||||
\(786\) | −10.8740 | + | 10.8740i | −0.387864 | + | 0.387864i | ||||
\(787\) | 2.26888 | + | 8.46757i | 0.0808768 | + | 0.301836i | 0.994501 | − | 0.104722i | \(-0.0333954\pi\) |
−0.913625 | + | 0.406559i | \(0.866729\pi\) | |||||||
\(788\) | −0.108773 | + | 0.405946i | −0.00387487 | + | 0.0144612i | ||||
\(789\) | 26.1246i | 0.930061i | ||||||||
\(790\) | −33.0273 | + | 57.2049i | −1.17506 | + | 2.03526i | ||||
\(791\) | 26.7106 | − | 45.7270i | 0.949721 | − | 1.62586i | ||||
\(792\) | − | 7.96327i | − | 0.282962i | ||||||
\(793\) | −2.02411 | + | 3.16568i | −0.0718783 | + | 0.112417i | ||||
\(794\) | −44.3277 | + | 25.5926i | −1.57313 | + | 0.908248i | ||||
\(795\) | 19.1113 | − | 19.1113i | 0.677808 | − | 0.677808i | ||||
\(796\) | −3.61555 | + | 2.08744i | −0.128150 | + | 0.0739874i | ||||
\(797\) | −21.7995 | − | 37.7578i | −0.772177 | − | 1.33745i | −0.936367 | − | 0.351021i | \(-0.885834\pi\) |
0.164190 | − | 0.986429i | \(-0.447499\pi\) | |||||||
\(798\) | 2.74922 | + | 1.60591i | 0.0973212 | + | 0.0568485i | ||||
\(799\) | −4.43627 | − | 1.18869i | −0.156944 | − | 0.0420530i | ||||
\(800\) | 18.2052 | + | 18.2052i | 0.643653 | + | 0.643653i | ||||
\(801\) | 3.05671 | + | 0.819042i | 0.108003 | + | 0.0289394i | ||||
\(802\) | 11.1549 | − | 19.3209i | 0.393893 | − | 0.682243i | ||||
\(803\) | 3.64672 | + | 6.31630i | 0.128690 | + | 0.222898i | ||||
\(804\) | 0.389755 | + | 1.45459i | 0.0137456 | + | 0.0512993i | ||||
\(805\) | 34.1960 | + | 9.34894i | 1.20525 | + | 0.329507i | ||||
\(806\) | 46.7479 | − | 24.2375i | 1.64663 | − | 0.853729i | ||||
\(807\) | −13.2101 | + | 22.8806i | −0.465018 | + | 0.805435i | ||||
\(808\) | −7.33507 | − | 7.33507i | −0.258047 | − | 0.258047i | ||||
\(809\) | 12.6023 | 0.443072 | 0.221536 | − | 0.975152i | \(-0.428893\pi\) | ||||
0.221536 | + | 0.975152i | \(0.428893\pi\) | |||||||
\(810\) | 5.95776 | 0.209334 | ||||||||
\(811\) | 13.6469 | + | 13.6469i | 0.479208 | + | 0.479208i | 0.904878 | − | 0.425670i | \(-0.139962\pi\) |
−0.425670 | + | 0.904878i | \(0.639962\pi\) | |||||||
\(812\) | 3.30723 | + | 1.93186i | 0.116061 | + | 0.0677950i | ||||
\(813\) | −1.96029 | + | 7.31591i | −0.0687504 | + | 0.256580i | ||||
\(814\) | 58.4454 | − | 15.6604i | 2.04851 | − | 0.548896i | ||||
\(815\) | −3.07533 | − | 1.77554i | −0.107724 | − | 0.0621946i | ||||
\(816\) | − | 15.8850i | − | 0.556085i | ||||||
\(817\) | 9.26127 | + | 2.48155i | 0.324011 | + | 0.0868185i | ||||
\(818\) | 46.6777 | 1.63205 | ||||||||
\(819\) | −0.480151 | + | 9.52730i | −0.0167778 | + | 0.332911i | ||||
\(820\) | 13.5652 | 0.473718 | ||||||||
\(821\) | 26.7083 | + | 7.15646i | 0.932125 | + | 0.249762i | 0.692761 | − | 0.721168i | \(-0.256394\pi\) |
0.239364 | + | 0.970930i | \(0.423061\pi\) | |||||||
\(822\) | 14.3950i | 0.502085i | ||||||||
\(823\) | 12.1313 | + | 7.00400i | 0.422870 | + | 0.244144i | 0.696305 | − | 0.717746i | \(-0.254826\pi\) |
−0.273434 | + | 0.961891i | \(0.588160\pi\) | |||||||
\(824\) | −30.4697 | + | 8.16433i | −1.06146 | + | 0.284418i | ||||
\(825\) | 7.98249 | − | 29.7911i | 0.277915 | − | 1.03719i | ||||
\(826\) | −11.4847 | + | 6.55326i | −0.399604 | + | 0.228017i | ||||
\(827\) | 25.9908 | + | 25.9908i | 0.903790 | + | 0.903790i | 0.995762 | − | 0.0919718i | \(-0.0293170\pi\) |
−0.0919718 | + | 0.995762i | \(0.529317\pi\) | |||||||
\(828\) | −1.81337 | −0.0630190 | ||||||||
\(829\) | −3.18287 | −0.110546 | −0.0552728 | − | 0.998471i | \(-0.517603\pi\) | ||||
−0.0552728 | + | 0.998471i | \(0.517603\pi\) | |||||||
\(830\) | 9.00875 | + | 9.00875i | 0.312698 | + | 0.312698i | ||||
\(831\) | −11.2715 | + | 19.5228i | −0.391004 | + | 0.677238i | ||||
\(832\) | −9.82669 | + | 15.3688i | −0.340679 | + | 0.532817i | ||||
\(833\) | −11.4769 | − | 20.3525i | −0.397650 | − | 0.705173i | ||||
\(834\) | −4.19173 | − | 15.6437i | −0.145148 | − | 0.541699i | ||||
\(835\) | 4.55297 | + | 7.88598i | 0.157562 | + | 0.272906i | ||||
\(836\) | −0.651978 | + | 1.12926i | −0.0225491 | + | 0.0390562i | ||||
\(837\) | −8.90596 | − | 2.38635i | −0.307835 | − | 0.0824842i | ||||
\(838\) | −13.7647 | − | 13.7647i | −0.475495 | − | 0.475495i | ||||
\(839\) | −15.7489 | − | 4.21991i | −0.543713 | − | 0.145687i | −0.0234997 | − | 0.999724i | \(-0.507481\pi\) |
−0.520213 | + | 0.854036i | \(0.674148\pi\) | |||||||
\(840\) | 23.5016 | + | 0.119194i | 0.810881 | + | 0.00411259i | ||||
\(841\) | 10.4559 | + | 18.1102i | 0.360549 | + | 0.624489i | ||||
\(842\) | −11.7985 | + | 6.81189i | −0.406605 | + | 0.234753i | ||||
\(843\) | −7.73479 | + | 7.73479i | −0.266400 | + | 0.266400i | ||||
\(844\) | 4.73838 | − | 2.73570i | 0.163102 | − | 0.0941668i | ||||
\(845\) | −31.3060 | − | 37.5601i | −1.07696 | − | 1.29211i | ||||
\(846\) | 2.17947i | 0.0749316i | ||||||||
\(847\) | 0.848818 | − | 0.484342i | 0.0291657 | − | 0.0166422i | ||||
\(848\) | −17.0984 | + | 29.6153i | −0.587161 | + | 1.01699i | ||||
\(849\) | − | 17.7305i | − | 0.608508i | ||||||
\(850\) | 12.5169 | − | 46.7139i | 0.429328 | − | 1.60227i | ||||
\(851\) | 10.4455 | + | 38.9832i | 0.358068 | + | 1.33633i | ||||
\(852\) | −2.60996 | + | 2.60996i | −0.0894156 | + | 0.0894156i | ||||
\(853\) | −1.18686 | + | 1.18686i | −0.0406374 | + | 0.0406374i | −0.727133 | − | 0.686496i | \(-0.759148\pi\) |
0.686496 | + | 0.727133i | \(0.259148\pi\) | |||||||
\(854\) | −4.22428 | + | 1.10896i | −0.144552 | + | 0.0379479i | ||||
\(855\) | 2.47467 | + | 1.42875i | 0.0846319 | + | 0.0488623i | ||||
\(856\) | 0.108532 | − | 0.405049i | 0.00370956 | − | 0.0138443i | ||||
\(857\) | 13.8735 | + | 24.0297i | 0.473911 | + | 0.820838i | 0.999554 | − | 0.0298676i | \(-0.00950857\pi\) |
−0.525643 | + | 0.850705i | \(0.676175\pi\) | |||||||
\(858\) | −19.2374 | − | 0.871725i | −0.656755 | − | 0.0297602i | ||||
\(859\) | 33.2801 | + | 19.2142i | 1.13550 | + | 0.655582i | 0.945313 | − | 0.326166i | \(-0.105757\pi\) |
0.190188 | + | 0.981748i | \(0.439090\pi\) | |||||||
\(860\) | −23.3391 | + | 6.25369i | −0.795856 | + | 0.213249i | ||||
\(861\) | 13.3224 | − | 13.1880i | 0.454027 | − | 0.449444i | ||||
\(862\) | 46.7952 | − | 27.0172i | 1.59385 | − | 0.920210i | ||||
\(863\) | 9.55027 | + | 35.6421i | 0.325095 | + | 1.21327i | 0.914216 | + | 0.405226i | \(0.132807\pi\) |
−0.589122 | + | 0.808044i | \(0.700526\pi\) | |||||||
\(864\) | −2.71883 | + | 0.728508i | −0.0924964 | + | 0.0247843i | ||||
\(865\) | −62.5671 | + | 16.7648i | −2.12735 | + | 0.570020i | ||||
\(866\) | 12.1344 | + | 45.2864i | 0.412345 | + | 1.53889i | ||||
\(867\) | 5.07343 | − | 2.92914i | 0.172303 | − | 0.0994790i | ||||
\(868\) | 11.9777 | + | 3.27460i | 0.406549 | + | 0.111147i | ||||
\(869\) | −36.1104 | + | 9.67574i | −1.22496 | + | 0.328227i | ||||
\(870\) | 14.6737 | + | 8.47185i | 0.497484 | + | 0.287222i | ||||
\(871\) | −10.4176 | + | 2.29150i | −0.352987 | + | 0.0776447i | ||||
\(872\) | 6.13344 | + | 10.6234i | 0.207705 | + | 0.359755i | ||||
\(873\) | −3.23001 | + | 12.0545i | −0.109319 | + | 0.407985i | ||||
\(874\) | −3.71268 | − | 2.14352i | −0.125583 | − | 0.0725055i | ||||
\(875\) | 39.8062 | + | 10.8827i | 1.34569 | + | 0.367903i | ||||
\(876\) | 0.778552 | − | 0.778552i | 0.0263048 | − | 0.0263048i | ||||
\(877\) | −33.3596 | + | 33.3596i | −1.12647 | + | 1.12647i | −0.135727 | + | 0.990746i | \(0.543337\pi\) |
−0.990746 | + | 0.135727i | \(0.956663\pi\) | |||||||
\(878\) | −7.55508 | − | 28.1959i | −0.254971 | − | 0.951566i | ||||
\(879\) | 3.33616 | − | 12.4507i | 0.112526 | − | 0.419953i | ||||
\(880\) | 60.3545i | 2.03455i | ||||||||
\(881\) | −6.77602 | + | 11.7364i | −0.228290 | + | 0.395410i | −0.957301 | − | 0.289092i | \(-0.906647\pi\) |
0.729011 | + | 0.684501i | \(0.239980\pi\) | |||||||
\(882\) | −7.91947 | + | 7.76042i | −0.266663 | + | 0.261307i | ||||
\(883\) | − | 35.2962i | − | 1.18781i | −0.804534 | − | 0.593907i | \(-0.797585\pi\) | ||
0.804534 | − | 0.593907i | \(-0.202415\pi\) | |||||||
\(884\) | −6.11985 | − | 0.277315i | −0.205833 | − | 0.00932711i | ||||
\(885\) | −10.2774 | + | 5.93368i | −0.345472 | + | 0.199459i | ||||
\(886\) | 6.44097 | − | 6.44097i | 0.216389 | − | 0.216389i | ||||
\(887\) | 10.8483 | − | 6.26326i | 0.364250 | − | 0.210300i | −0.306694 | − | 0.951808i | \(-0.599223\pi\) |
0.670943 | + | 0.741509i | \(0.265889\pi\) | |||||||
\(888\) | 13.3776 | + | 23.1707i | 0.448923 | + | 0.777558i | ||||
\(889\) | 0.104516 | − | 20.6075i | 0.00350536 | − | 0.691153i | ||||
\(890\) | −18.2111 | − | 4.87966i | −0.610438 | − | 0.163566i | ||||
\(891\) | 2.38426 | + | 2.38426i | 0.0798757 | + | 0.0798757i | ||||
\(892\) | −2.92208 | − | 0.782969i | −0.0978384 | − | 0.0262157i | ||||
\(893\) | −0.522666 | + | 0.905284i | −0.0174903 | + | 0.0302942i | ||||
\(894\) | 11.8990 | + | 20.6096i | 0.397960 | + | 0.689288i | ||||
\(895\) | −3.35116 | − | 12.5067i | −0.112017 | − | 0.418053i | ||||
\(896\) | −34.9142 | + | 9.16569i | −1.16640 | + | 0.306204i | ||||
\(897\) | 0.581443 | − | 12.8314i | 0.0194138 | − | 0.428429i | ||||
\(898\) | −15.5985 | + | 27.0173i | −0.520528 | + | 0.901580i | ||||
\(899\) | −18.5416 | − | 18.5416i | −0.618397 | − | 0.618397i | ||||
\(900\) | −4.65599 | −0.155200 | ||||||||
\(901\) | 23.9856 | 0.799077 | ||||||||
\(902\) | 26.7586 | + | 26.7586i | 0.890963 | + | 0.890963i | ||||
\(903\) | −16.8416 | + | 28.8318i | −0.560452 | + | 0.959461i | ||||
\(904\) | −12.2346 | + | 45.6603i | −0.406918 | + | 1.51864i | ||||
\(905\) | 94.3754 | − | 25.2878i | 3.13714 | − | 0.840595i | ||||
\(906\) | 0.380931 | + | 0.219930i | 0.0126556 | + | 0.00730670i | ||||
\(907\) | 37.7929i | 1.25489i | 0.778659 | + | 0.627447i | \(0.215900\pi\) | ||||
−0.778659 | + | 0.627447i | \(0.784100\pi\) | |||||||
\(908\) | −10.0239 | − | 2.68590i | −0.332656 | − | 0.0891349i | ||||
\(909\) | 4.39234 | 0.145685 | ||||||||
\(910\) | 2.86062 | − | 56.7614i | 0.0948287 | − | 1.88162i | ||||
\(911\) | −15.1976 | −0.503520 | −0.251760 | − | 0.967790i | \(-0.581009\pi\) | ||||
−0.251760 | + | 0.967790i | \(0.581009\pi\) | |||||||
\(912\) | −3.49229 | − | 0.935756i | −0.115641 | − | 0.0309860i | ||||
\(913\) | 7.21049i | 0.238633i | ||||||||
\(914\) | 4.26629 | + | 2.46314i | 0.141116 | + | 0.0814736i | ||||
\(915\) | −3.78615 | + | 1.01450i | −0.125166 | + | 0.0335382i | ||||
\(916\) | 1.13072 | − | 4.21991i | 0.0373601 | − | 0.139430i | ||||
\(917\) | 0.130273 | − | 25.6860i | 0.00430200 | − | 0.848226i | ||||
\(918\) | 3.73864 | + | 3.73864i | 0.123393 | + | 0.123393i | ||||
\(919\) | −18.9861 | −0.626294 | −0.313147 | − | 0.949705i | \(-0.601383\pi\) | ||||
−0.313147 | + | 0.949705i | \(0.601383\pi\) | |||||||
\(920\) | −31.6448 | −1.04330 | ||||||||
\(921\) | −5.82305 | − | 5.82305i | −0.191876 | − | 0.191876i | ||||
\(922\) | 24.8978 | − | 43.1242i | 0.819964 | − | 1.42022i | ||||
\(923\) | −17.6312 | − | 19.3049i | −0.580337 | − | 0.635429i | ||||
\(924\) | −3.19468 | − | 3.22725i | −0.105097 | − | 0.106169i | ||||
\(925\) | 26.8198 | + | 100.093i | 0.881830 | + | 3.29103i | ||||
\(926\) | −11.5311 | − | 19.9724i | −0.378934 | − | 0.656333i | ||||
\(927\) | 6.67838 | − | 11.5673i | 0.219347 | − | 0.379920i | ||||
\(928\) | −7.73226 | − | 2.07185i | −0.253824 | − | 0.0680119i | ||||
\(929\) | 19.0139 | + | 19.0139i | 0.623827 | + | 0.623827i | 0.946508 | − | 0.322681i | \(-0.104584\pi\) |
−0.322681 | + | 0.946508i | \(0.604584\pi\) | |||||||
\(930\) | 53.0596 | + | 14.2173i | 1.73989 | + | 0.466203i | ||||
\(931\) | −5.15056 | + | 1.32424i | −0.168803 | + | 0.0434003i | ||||
\(932\) | −1.27978 | − | 2.21665i | −0.0419207 | − | 0.0726089i | ||||
\(933\) | 23.4318 | − | 13.5284i | 0.767124 | − | 0.442899i | ||||
\(934\) | −14.0349 | + | 14.0349i | −0.459237 | + | 0.459237i | ||||
\(935\) | 36.6611 | − | 21.1663i | 1.19895 | − | 0.692212i | ||||
\(936\) | −1.82931 | − | 8.31638i | −0.0597928 | − | 0.271829i | ||||
\(937\) | − | 55.8288i | − | 1.82385i | −0.410358 | − | 0.911924i | \(-0.634596\pi\) | ||
0.410358 | − | 0.911924i | \(-0.365404\pi\) | |||||||
\(938\) | −10.7056 | − | 6.25347i | −0.349549 | − | 0.204183i | ||||
\(939\) | 6.86374 | − | 11.8883i | 0.223990 | − | 0.387962i | ||||
\(940\) | − | 2.63431i | − | 0.0859218i | ||||||
\(941\) | −12.8732 | + | 48.0434i | −0.419654 | + | 1.56617i | 0.355675 | + | 0.934610i | \(0.384251\pi\) |
−0.775328 | + | 0.631559i | \(0.782416\pi\) | |||||||
\(942\) | 0.128914 | + | 0.481113i | 0.00420024 | + | 0.0156755i | ||||
\(943\) | −17.8481 | + | 17.8481i | −0.581213 | + | 0.581213i | ||||
\(944\) | 10.6174 | − | 10.6174i | 0.345568 | − | 0.345568i | ||||
\(945\) | −7.07223 | + | 7.00085i | −0.230060 | + | 0.227738i | ||||
\(946\) | −58.3744 | − | 33.7025i | −1.89791 | − | 1.09576i | ||||
\(947\) | 8.29083 | − | 30.9418i | 0.269416 | − | 1.00547i | −0.690076 | − | 0.723737i | \(-0.742423\pi\) |
0.959492 | − | 0.281736i | \(-0.0909103\pi\) | |||||||
\(948\) | 2.82181 | + | 4.88752i | 0.0916482 | + | 0.158739i | ||||
\(949\) | 5.25940 | + | 5.75867i | 0.170727 | + | 0.186934i | ||||
\(950\) | −9.53263 | − | 5.50367i | −0.309279 | − | 0.178563i | ||||
\(951\) | −2.23807 | + | 0.599689i | −0.0725743 | + | 0.0194462i | ||||
\(952\) | 14.6730 | + | 14.8226i | 0.475555 | + | 0.480403i | ||||
\(953\) | −25.2887 | + | 14.6005i | −0.819182 | + | 0.472955i | −0.850134 | − | 0.526566i | \(-0.823479\pi\) |
0.0309522 | + | 0.999521i | \(0.490146\pi\) | |||||||
\(954\) | −2.94594 | − | 10.9944i | −0.0953783 | − | 0.355957i | ||||
\(955\) | −10.8377 | + | 2.90396i | −0.350701 | + | 0.0939700i | ||||
\(956\) | −8.10547 | + | 2.17185i | −0.262150 | + | 0.0702428i | ||||
\(957\) | 2.48193 | + | 9.26269i | 0.0802294 | + | 0.299420i | ||||
\(958\) | −28.7625 | + | 16.6060i | −0.929274 | + | 0.536517i | ||||
\(959\) | −16.9153 | − | 17.0878i | −0.546225 | − | 0.551794i | ||||
\(960\) | −18.3811 | + | 4.92519i | −0.593247 | + | 0.158960i | ||||
\(961\) | −46.7748 | − | 27.0054i | −1.50886 | − | 0.871143i | ||||
\(962\) | 57.4395 | − | 29.7808i | 1.85192 | − | 0.960171i | ||||
\(963\) | 0.0887791 | + | 0.153770i | 0.00286087 | + | 0.00495516i | ||||
\(964\) | 0.743748 | − | 2.77571i | 0.0239545 | − | 0.0893995i | ||||
\(965\) | −8.51522 | − | 4.91627i | −0.274115 | − | 0.158260i | ||||
\(966\) | 10.6103 | − | 10.5032i | 0.341380 | − | 0.337934i | ||||
\(967\) | −28.2620 | + | 28.2620i | −0.908844 | + | 0.908844i | −0.996179 | − | 0.0873352i | \(-0.972165\pi\) |
0.0873352 | + | 0.996179i | \(0.472165\pi\) | |||||||
\(968\) | −0.616849 | + | 0.616849i | −0.0198263 | + | 0.0198263i | ||||
\(969\) | 0.656339 | + | 2.44949i | 0.0210846 | + | 0.0786890i | ||||
\(970\) | 19.2436 | − | 71.8181i | 0.617875 | − | 2.30594i | ||||
\(971\) | − | 14.0049i | − | 0.449439i | −0.974424 | − | 0.224719i | \(-0.927853\pi\) | ||
0.974424 | − | 0.224719i | \(-0.0721465\pi\) | |||||||
\(972\) | 0.254512 | − | 0.440828i | 0.00816348 | − | 0.0141396i | ||||
\(973\) | 23.3585 | + | 13.6445i | 0.748839 | + | 0.437421i | ||||
\(974\) | − | 17.0854i | − | 0.547450i | ||||||
\(975\) | 1.49291 | − | 32.9458i | 0.0478113 | − | 1.05511i | ||||
\(976\) | 4.29502 | − | 2.47973i | 0.137480 | − | 0.0793742i | ||||
\(977\) | 14.8724 | − | 14.8724i | 0.475811 | − | 0.475811i | −0.427978 | − | 0.903789i | \(-0.640774\pi\) |
0.903789 | + | 0.427978i | \(0.140774\pi\) | |||||||
\(978\) | −1.29513 | + | 0.747745i | −0.0414138 | + | 0.0239102i | ||||
\(979\) | −5.33517 | − | 9.24079i | −0.170513 | − | 0.295337i | ||||
\(980\) | 9.57223 | − | 9.37998i | 0.305774 | − | 0.299633i | ||||
\(981\) | −5.01713 | − | 1.34434i | −0.160185 | − | 0.0429213i | ||||
\(982\) | −39.7461 | − | 39.7461i | −1.26835 | − | 1.26835i | ||||
\(983\) | 7.34307 | + | 1.96757i | 0.234208 | + | 0.0627558i | 0.374014 | − | 0.927423i | \(-0.377981\pi\) |
−0.139806 | + | 0.990179i | \(0.544648\pi\) | |||||||
\(984\) | −8.36663 | + | 14.4914i | −0.266718 | + | 0.461970i | ||||
\(985\) | −1.55270 | − | 2.68935i | −0.0494730 | − | 0.0856897i | ||||
\(986\) | 3.89179 | + | 14.5244i | 0.123940 | + | 0.462550i | ||||
\(987\) | −2.56105 | − | 2.58716i | −0.0815192 | − | 0.0823503i | ||||
\(988\) | −0.421477 | + | 1.32910i | −0.0134090 | + | 0.0422845i | ||||
\(989\) | 22.4796 | − | 38.9359i | 0.714811 | − | 1.23809i | ||||
\(990\) | −14.2048 | − | 14.2048i | −0.451459 | − | 0.451459i | ||||
\(991\) | 24.6261 | 0.782275 | 0.391138 | − | 0.920332i | \(-0.372082\pi\) | ||||
0.391138 | + | 0.920332i | \(0.372082\pi\) | |||||||
\(992\) | −25.9522 | −0.823985 | ||||||||
\(993\) | −18.2666 | − | 18.2666i | −0.579674 | − | 0.579674i | ||||
\(994\) | 0.154122 | − | 30.3882i | 0.00488845 | − | 0.963856i | ||||
\(995\) | 7.98422 | − | 29.7975i | 0.253117 | − | 0.944645i | ||||
\(996\) | 1.05143 | − | 0.281729i | 0.0333157 | − | 0.00892692i | ||||
\(997\) | −14.2687 | − | 8.23802i | −0.451893 | − | 0.260901i | 0.256736 | − | 0.966482i | \(-0.417353\pi\) |
−0.708629 | + | 0.705581i | \(0.750686\pi\) | |||||||
\(998\) | − | 8.13347i | − | 0.257461i | ||||||
\(999\) | −10.9428 | − | 2.93212i | −0.346216 | − | 0.0927682i |
(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 | 273.2.cg.a.19.2 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.19.8 | 36 | |||
7.3 | odd | 6 | 273.2.bt.a.136.8 | ✓ | 36 | ||
13.11 | odd | 12 | 273.2.bt.a.271.8 | yes | 36 | ||
21.17 | even | 6 | 819.2.et.c.136.2 | 36 | |||
39.11 | even | 12 | 819.2.et.c.271.2 | 36 | |||
91.24 | even | 12 | inner | 273.2.cg.a.115.2 | yes | 36 | |
273.206 | odd | 12 | 819.2.gh.c.388.8 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.136.8 | ✓ | 36 | 7.3 | odd | 6 | ||
273.2.bt.a.271.8 | yes | 36 | 13.11 | odd | 12 | ||
273.2.cg.a.19.2 | yes | 36 | 1.1 | even | 1 | trivial | |
273.2.cg.a.115.2 | yes | 36 | 91.24 | even | 12 | inner | |
819.2.et.c.136.2 | 36 | 21.17 | even | 6 | |||
819.2.et.c.271.2 | 36 | 39.11 | even | 12 | |||
819.2.gh.c.19.8 | 36 | 3.2 | odd | 2 | |||
819.2.gh.c.388.8 | 36 | 273.206 | odd | 12 |