Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(71,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bu (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 323.14 | ||
Character | \(\chi\) | \(=\) | 546.323 |
Dual form | 546.2.bu.a.71.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | 1.59645 | − | 0.671817i | 0.921713 | − | 0.387874i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 1.68505 | − | 1.68505i | 0.753579 | − | 0.753579i | −0.221566 | − | 0.975145i | \(-0.571117\pi\) |
0.975145 | + | 0.221566i | \(0.0711169\pi\) | |||||||
\(6\) | 1.71593 | − | 0.235733i | 0.700527 | − | 0.0962376i | ||||
\(7\) | −0.258819 | − | 0.965926i | −0.0978244 | − | 0.365086i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 2.09732 | − | 2.14505i | 0.699108 | − | 0.715016i | ||||
\(10\) | 2.06376 | − | 1.19151i | 0.652619 | − | 0.376789i | ||||
\(11\) | −1.39701 | + | 5.21372i | −0.421215 | + | 1.57200i | 0.350836 | + | 0.936437i | \(0.385897\pi\) |
−0.772052 | + | 0.635560i | \(0.780769\pi\) | |||||||
\(12\) | 1.71848 | + | 0.216416i | 0.496082 | + | 0.0624739i | ||||
\(13\) | −3.48120 | + | 0.938747i | −0.965511 | + | 0.260362i | ||||
\(14\) | − | 1.00000i | − | 0.267261i | ||||||
\(15\) | 1.55806 | − | 3.82216i | 0.402290 | − | 0.986877i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 0.157166 | − | 0.272219i | 0.0381183 | − | 0.0660228i | −0.846337 | − | 0.532648i | \(-0.821197\pi\) |
0.884455 | + | 0.466625i | \(0.154530\pi\) | |||||||
\(18\) | 2.58104 | − | 1.52913i | 0.608357 | − | 0.360419i | ||||
\(19\) | 3.03381 | − | 0.812907i | 0.696004 | − | 0.186494i | 0.106564 | − | 0.994306i | \(-0.466015\pi\) |
0.589440 | + | 0.807812i | \(0.299348\pi\) | |||||||
\(20\) | 2.30183 | − | 0.616773i | 0.514704 | − | 0.137915i | ||||
\(21\) | −1.06212 | − | 1.36818i | −0.231773 | − | 0.298560i | ||||
\(22\) | −2.69882 | + | 4.67450i | −0.575391 | + | 0.996606i | ||||
\(23\) | −3.97748 | − | 6.88919i | −0.829361 | − | 1.43650i | −0.898540 | − | 0.438892i | \(-0.855371\pi\) |
0.0691786 | − | 0.997604i | \(-0.477962\pi\) | |||||||
\(24\) | 1.60391 | + | 0.653816i | 0.327397 | + | 0.133460i | ||||
\(25\) | − | 0.678813i | − | 0.135763i | ||||||
\(26\) | −3.60555 | + | 0.00575899i | −0.707106 | + | 0.00112943i | ||||
\(27\) | 1.90720 | − | 4.83349i | 0.367041 | − | 0.930205i | ||||
\(28\) | 0.258819 | − | 0.965926i | 0.0489122 | − | 0.182543i | ||||
\(29\) | −8.99954 | + | 5.19588i | −1.67117 | + | 0.964852i | −0.704188 | + | 0.710013i | \(0.748689\pi\) |
−0.966984 | + | 0.254838i | \(0.917978\pi\) | |||||||
\(30\) | 2.49422 | − | 3.28866i | 0.455380 | − | 0.600425i | ||||
\(31\) | −1.93478 | − | 1.93478i | −0.347496 | − | 0.347496i | 0.511680 | − | 0.859176i | \(-0.329023\pi\) |
−0.859176 | + | 0.511680i | \(0.829023\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 1.27240 | + | 9.26200i | 0.221497 | + | 1.61231i | ||||
\(34\) | 0.222266 | − | 0.222266i | 0.0381183 | − | 0.0381183i | ||||
\(35\) | −2.06376 | − | 1.19151i | −0.348839 | − | 0.201402i | ||||
\(36\) | 2.88886 | − | 0.809005i | 0.481477 | − | 0.134834i | ||||
\(37\) | 5.26559 | + | 1.41091i | 0.865658 | + | 0.231952i | 0.664209 | − | 0.747547i | \(-0.268768\pi\) |
0.201449 | + | 0.979499i | \(0.435435\pi\) | |||||||
\(38\) | 3.14083 | 0.509510 | ||||||||
\(39\) | −4.92691 | + | 3.83739i | −0.788936 | + | 0.614475i | ||||
\(40\) | 2.38303 | 0.376789 | ||||||||
\(41\) | 7.15363 | + | 1.91681i | 1.11721 | + | 0.299355i | 0.769753 | − | 0.638341i | \(-0.220379\pi\) |
0.347455 | + | 0.937697i | \(0.387046\pi\) | |||||||
\(42\) | −0.671817 | − | 1.59645i | −0.103664 | − | 0.246338i | ||||
\(43\) | 3.91582 | + | 2.26080i | 0.597157 | + | 0.344769i | 0.767922 | − | 0.640543i | \(-0.221291\pi\) |
−0.170765 | + | 0.985312i | \(0.554624\pi\) | |||||||
\(44\) | −3.81671 | + | 3.81671i | −0.575391 | + | 0.575391i | ||||
\(45\) | −0.0804188 | − | 7.14863i | −0.0119881 | − | 1.06565i | ||||
\(46\) | −2.05889 | − | 7.68390i | −0.303567 | − | 1.13293i | ||||
\(47\) | −1.31948 | − | 1.31948i | −0.192466 | − | 0.192466i | 0.604295 | − | 0.796761i | \(-0.293455\pi\) |
−0.796761 | + | 0.604295i | \(0.793455\pi\) | |||||||
\(48\) | 1.38004 | + | 1.04666i | 0.199191 | + | 0.151072i | ||||
\(49\) | −0.866025 | + | 0.500000i | −0.123718 | + | 0.0714286i | ||||
\(50\) | 0.175690 | − | 0.655683i | 0.0248463 | − | 0.0927276i | ||||
\(51\) | 0.0680263 | − | 0.540171i | 0.00952559 | − | 0.0756391i | ||||
\(52\) | −3.48418 | − | 0.927621i | −0.483169 | − | 0.128638i | ||||
\(53\) | 13.4414i | 1.84631i | 0.384423 | + | 0.923157i | \(0.374400\pi\) | ||||
−0.384423 | + | 0.923157i | \(0.625600\pi\) | |||||||
\(54\) | 3.09321 | − | 4.17517i | 0.420933 | − | 0.568169i | ||||
\(55\) | 6.43136 | + | 11.1394i | 0.867205 | + | 1.50204i | ||||
\(56\) | 0.500000 | − | 0.866025i | 0.0668153 | − | 0.115728i | ||||
\(57\) | 4.29721 | − | 3.33593i | 0.569179 | − | 0.441855i | ||||
\(58\) | −10.0377 | + | 2.68959i | −1.31801 | + | 0.353160i | ||||
\(59\) | −10.6210 | + | 2.84589i | −1.38274 | + | 0.370503i | −0.872114 | − | 0.489302i | \(-0.837252\pi\) |
−0.510622 | + | 0.859805i | \(0.670585\pi\) | |||||||
\(60\) | 3.26040 | − | 2.53105i | 0.420916 | − | 0.326758i | ||||
\(61\) | −1.00026 | + | 1.73250i | −0.128070 | + | 0.221824i | −0.922929 | − | 0.384971i | \(-0.874212\pi\) |
0.794859 | + | 0.606794i | \(0.207545\pi\) | |||||||
\(62\) | −1.36809 | − | 2.36961i | −0.173748 | − | 0.300940i | ||||
\(63\) | −2.61479 | − | 1.47068i | −0.329432 | − | 0.185288i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −4.28417 | + | 7.44785i | −0.531386 | + | 0.923792i | ||||
\(66\) | −1.16814 | + | 9.27573i | −0.143788 | + | 1.14176i | ||||
\(67\) | 0.360910 | − | 1.34693i | 0.0440921 | − | 0.164554i | −0.940369 | − | 0.340155i | \(-0.889520\pi\) |
0.984461 | + | 0.175601i | \(0.0561870\pi\) | |||||||
\(68\) | 0.272219 | − | 0.157166i | 0.0330114 | − | 0.0190591i | ||||
\(69\) | −10.9781 | − | 8.32613i | −1.32161 | − | 1.00235i | ||||
\(70\) | −1.68505 | − | 1.68505i | −0.201402 | − | 0.201402i | ||||
\(71\) | −3.98667 | − | 14.8785i | −0.473131 | − | 1.76575i | −0.628414 | − | 0.777879i | \(-0.716296\pi\) |
0.155283 | − | 0.987870i | \(-0.450371\pi\) | |||||||
\(72\) | 2.99981 | − | 0.0337465i | 0.353531 | − | 0.00397706i | ||||
\(73\) | 10.3973 | − | 10.3973i | 1.21691 | − | 1.21691i | 0.248206 | − | 0.968707i | \(-0.420159\pi\) |
0.968707 | − | 0.248206i | \(-0.0798411\pi\) | |||||||
\(74\) | 4.72100 | + | 2.72567i | 0.548805 | + | 0.316853i | ||||
\(75\) | −0.456038 | − | 1.08369i | −0.0526588 | − | 0.125134i | ||||
\(76\) | 3.03381 | + | 0.812907i | 0.348002 | + | 0.0932468i | ||||
\(77\) | 5.39764 | 0.615119 | ||||||||
\(78\) | −5.75222 | + | 2.43146i | −0.651310 | + | 0.275309i | ||||
\(79\) | −0.912263 | −0.102638 | −0.0513188 | − | 0.998682i | \(-0.516342\pi\) | ||||
−0.0513188 | + | 0.998682i | \(0.516342\pi\) | |||||||
\(80\) | 2.30183 | + | 0.616773i | 0.257352 | + | 0.0689573i | ||||
\(81\) | −0.202466 | − | 8.99772i | −0.0224962 | − | 0.999747i | ||||
\(82\) | 6.41377 | + | 3.70299i | 0.708282 | + | 0.408927i | ||||
\(83\) | −7.71566 | + | 7.71566i | −0.846904 | + | 0.846904i | −0.989746 | − | 0.142841i | \(-0.954376\pi\) |
0.142841 | + | 0.989746i | \(0.454376\pi\) | |||||||
\(84\) | −0.235733 | − | 1.71593i | −0.0257206 | − | 0.187224i | ||||
\(85\) | −0.193871 | − | 0.723536i | −0.0210283 | − | 0.0784785i | ||||
\(86\) | 3.19725 | + | 3.19725i | 0.344769 | + | 0.344769i | ||||
\(87\) | −10.8767 | + | 14.3410i | −1.16610 | + | 1.53752i | ||||
\(88\) | −4.67450 | + | 2.69882i | −0.498303 | + | 0.287695i | ||||
\(89\) | 0.444776 | − | 1.65993i | 0.0471461 | − | 0.175952i | −0.938338 | − | 0.345719i | \(-0.887635\pi\) |
0.985484 | + | 0.169767i | \(0.0543017\pi\) | |||||||
\(90\) | 1.77252 | − | 6.92586i | 0.186840 | − | 0.730049i | ||||
\(91\) | 1.80776 | + | 3.11962i | 0.189505 | + | 0.327025i | ||||
\(92\) | − | 7.95495i | − | 0.829361i | ||||||
\(93\) | −4.38859 | − | 1.78896i | −0.455076 | − | 0.185507i | ||||
\(94\) | −0.933016 | − | 1.61603i | −0.0962332 | − | 0.166681i | ||||
\(95\) | 3.74234 | − | 6.48192i | 0.383956 | − | 0.665031i | ||||
\(96\) | 1.06212 | + | 1.36818i | 0.108402 | + | 0.139639i | ||||
\(97\) | 10.5820 | − | 2.83543i | 1.07444 | − | 0.287895i | 0.322122 | − | 0.946698i | \(-0.395604\pi\) |
0.752315 | + | 0.658803i | \(0.228937\pi\) | |||||||
\(98\) | −0.965926 | + | 0.258819i | −0.0975732 | + | 0.0261447i | ||||
\(99\) | 8.25370 | + | 13.9315i | 0.829528 | + | 1.40017i | ||||
\(100\) | 0.339407 | − | 0.587869i | 0.0339407 | − | 0.0587869i | ||||
\(101\) | 1.99214 | + | 3.45048i | 0.198225 | + | 0.343336i | 0.947953 | − | 0.318410i | \(-0.103149\pi\) |
−0.749728 | + | 0.661746i | \(0.769816\pi\) | |||||||
\(102\) | 0.205515 | − | 0.504159i | 0.0203490 | − | 0.0499192i | ||||
\(103\) | 10.8341i | 1.06752i | 0.845637 | + | 0.533758i | \(0.179221\pi\) | ||||
−0.845637 | + | 0.533758i | \(0.820779\pi\) | |||||||
\(104\) | −3.12537 | − | 1.79779i | −0.306468 | − | 0.176287i | ||||
\(105\) | −4.09518 | − | 0.515725i | −0.399648 | − | 0.0503296i | ||||
\(106\) | −3.47888 | + | 12.9834i | −0.337899 | + | 1.26106i | ||||
\(107\) | −0.796948 | + | 0.460118i | −0.0770439 | + | 0.0444813i | −0.538027 | − | 0.842928i | \(-0.680830\pi\) |
0.460983 | + | 0.887409i | \(0.347497\pi\) | |||||||
\(108\) | 4.06843 | − | 3.23232i | 0.391484 | − | 0.311030i | ||||
\(109\) | −10.7294 | − | 10.7294i | −1.02769 | − | 1.02769i | −0.999605 | − | 0.0280885i | \(-0.991058\pi\) |
−0.0280885 | − | 0.999605i | \(-0.508942\pi\) | |||||||
\(110\) | 3.32912 | + | 12.4244i | 0.317419 | + | 1.18462i | ||||
\(111\) | 9.35414 | − | 1.28506i | 0.887856 | − | 0.121973i | ||||
\(112\) | 0.707107 | − | 0.707107i | 0.0668153 | − | 0.0668153i | ||||
\(113\) | −3.00270 | − | 1.73361i | −0.282470 | − | 0.163084i | 0.352071 | − | 0.935973i | \(-0.385478\pi\) |
−0.634541 | + | 0.772889i | \(0.718811\pi\) | |||||||
\(114\) | 5.01419 | − | 2.11006i | 0.469622 | − | 0.197626i | ||||
\(115\) | −18.3109 | − | 4.90640i | −1.70750 | − | 0.457524i | ||||
\(116\) | −10.3918 | −0.964852 | ||||||||
\(117\) | −5.28755 | + | 9.43620i | −0.488834 | + | 0.872377i | ||||
\(118\) | −10.9957 | −1.01223 | ||||||||
\(119\) | −0.303621 | − | 0.0813550i | −0.0278329 | − | 0.00745780i | ||||
\(120\) | 3.80439 | − | 1.60096i | 0.347292 | − | 0.146147i | ||||
\(121\) | −15.7050 | − | 9.06727i | −1.42773 | − | 0.824298i | ||||
\(122\) | −1.41458 | + | 1.41458i | −0.128070 | + | 0.128070i | ||||
\(123\) | 12.7082 | − | 1.74583i | 1.14586 | − | 0.157417i | ||||
\(124\) | −0.708177 | − | 2.64295i | −0.0635962 | − | 0.237344i | ||||
\(125\) | 7.28143 | + | 7.28143i | 0.651271 | + | 0.651271i | ||||
\(126\) | −2.14505 | − | 2.09732i | −0.191096 | − | 0.186844i | ||||
\(127\) | −6.18996 | + | 3.57378i | −0.549270 | + | 0.317121i | −0.748828 | − | 0.662765i | \(-0.769383\pi\) |
0.199557 | + | 0.979886i | \(0.436050\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 7.77027 | + | 0.978546i | 0.684134 | + | 0.0861562i | ||||
\(130\) | −6.06584 | + | 6.08524i | −0.532009 | + | 0.533711i | ||||
\(131\) | 9.26094i | 0.809132i | 0.914509 | + | 0.404566i | \(0.132577\pi\) | ||||
−0.914509 | + | 0.404566i | \(0.867423\pi\) | |||||||
\(132\) | −3.52907 | + | 8.65733i | −0.307166 | + | 0.753524i | ||||
\(133\) | −1.57042 | − | 2.72004i | −0.136172 | − | 0.235857i | ||||
\(134\) | 0.697224 | − | 1.20763i | 0.0602310 | − | 0.104323i | ||||
\(135\) | −4.93095 | − | 11.3584i | −0.424389 | − | 0.977577i | ||||
\(136\) | 0.303621 | − | 0.0813550i | 0.0260353 | − | 0.00697613i | ||||
\(137\) | 4.12926 | − | 1.10643i | 0.352787 | − | 0.0945289i | −0.0780734 | − | 0.996948i | \(-0.524877\pi\) |
0.430860 | + | 0.902419i | \(0.358210\pi\) | |||||||
\(138\) | −8.44910 | − | 10.8838i | −0.719235 | − | 0.926489i | ||||
\(139\) | 3.34790 | − | 5.79873i | 0.283965 | − | 0.491842i | −0.688393 | − | 0.725338i | \(-0.741683\pi\) |
0.972358 | + | 0.233496i | \(0.0750167\pi\) | |||||||
\(140\) | −1.19151 | − | 2.06376i | −0.100701 | − | 0.174420i | ||||
\(141\) | −2.99294 | − | 1.22004i | −0.252051 | − | 0.102746i | ||||
\(142\) | − | 15.4033i | − | 1.29262i | ||||||
\(143\) | −0.0310850 | − | 19.4615i | −0.00259946 | − | 1.62745i | ||||
\(144\) | 2.90633 | + | 0.743811i | 0.242194 | + | 0.0619843i | ||||
\(145\) | −6.40936 | + | 23.9201i | −0.532268 | + | 1.98645i | ||||
\(146\) | 12.7341 | − | 7.35201i | 1.05388 | − | 0.608457i | ||||
\(147\) | −1.04666 | + | 1.38004i | −0.0863271 | + | 0.113824i | ||||
\(148\) | 3.85468 | + | 3.85468i | 0.316853 | + | 0.316853i | ||||
\(149\) | −1.76766 | − | 6.59700i | −0.144812 | − | 0.540447i | −0.999764 | − | 0.0217390i | \(-0.993080\pi\) |
0.854951 | − | 0.518708i | \(-0.173587\pi\) | |||||||
\(150\) | −0.160019 | − | 1.16480i | −0.0130655 | − | 0.0951054i | ||||
\(151\) | 1.86863 | − | 1.86863i | 0.152067 | − | 0.152067i | −0.626974 | − | 0.779040i | \(-0.715707\pi\) |
0.779040 | + | 0.626974i | \(0.215707\pi\) | |||||||
\(152\) | 2.72004 | + | 1.57042i | 0.220624 | + | 0.127378i | ||||
\(153\) | −0.254296 | − | 0.908060i | −0.0205586 | − | 0.0734123i | ||||
\(154\) | 5.21372 | + | 1.39701i | 0.420134 | + | 0.112574i | ||||
\(155\) | −6.52040 | −0.523731 | ||||||||
\(156\) | −6.18552 | + | 0.859828i | −0.495238 | + | 0.0688414i | ||||
\(157\) | 11.2697 | 0.899423 | 0.449711 | − | 0.893174i | \(-0.351527\pi\) | ||||
0.449711 | + | 0.893174i | \(0.351527\pi\) | |||||||
\(158\) | −0.881178 | − | 0.236111i | −0.0701028 | − | 0.0187840i | ||||
\(159\) | 9.03014 | + | 21.4585i | 0.716137 | + | 1.70177i | ||||
\(160\) | 2.06376 | + | 1.19151i | 0.163155 | + | 0.0941974i | ||||
\(161\) | −5.62500 | + | 5.62500i | −0.443312 | + | 0.443312i | ||||
\(162\) | 2.13321 | − | 8.74353i | 0.167601 | − | 0.686957i | ||||
\(163\) | −5.24444 | − | 19.5725i | −0.410776 | − | 1.53304i | −0.793148 | − | 0.609029i | \(-0.791559\pi\) |
0.382371 | − | 0.924009i | \(-0.375108\pi\) | |||||||
\(164\) | 5.23682 | + | 5.23682i | 0.408927 | + | 0.408927i | ||||
\(165\) | 17.7510 | + | 13.4629i | 1.38192 | + | 1.04809i | ||||
\(166\) | −9.44972 | + | 5.45580i | −0.733441 | + | 0.423452i | ||||
\(167\) | −4.34679 | + | 16.2224i | −0.336365 | + | 1.25533i | 0.566017 | + | 0.824393i | \(0.308483\pi\) |
−0.902382 | + | 0.430937i | \(0.858183\pi\) | |||||||
\(168\) | 0.216416 | − | 1.71848i | 0.0166968 | − | 0.132583i | ||||
\(169\) | 11.2375 | − | 6.53593i | 0.864424 | − | 0.502764i | ||||
\(170\) | − | 0.749060i | − | 0.0574503i | ||||||
\(171\) | 4.61916 | − | 8.21260i | 0.353236 | − | 0.628033i | ||||
\(172\) | 2.26080 | + | 3.91582i | 0.172384 | + | 0.298579i | ||||
\(173\) | 5.22831 | − | 9.05569i | 0.397501 | − | 0.688492i | −0.595916 | − | 0.803047i | \(-0.703211\pi\) |
0.993417 | + | 0.114555i | \(0.0365442\pi\) | |||||||
\(174\) | −14.2178 | + | 11.0373i | −1.07785 | + | 0.836734i | ||||
\(175\) | −0.655683 | + | 0.175690i | −0.0495650 | + | 0.0132809i | ||||
\(176\) | −5.21372 | + | 1.39701i | −0.392999 | + | 0.105304i | ||||
\(177\) | −15.0440 | + | 11.6787i | −1.13078 | + | 0.877824i | ||||
\(178\) | 0.859240 | − | 1.48825i | 0.0644028 | − | 0.111549i | ||||
\(179\) | −7.06557 | − | 12.2379i | −0.528106 | − | 0.914706i | −0.999463 | − | 0.0327637i | \(-0.989569\pi\) |
0.471357 | − | 0.881942i | \(-0.343764\pi\) | |||||||
\(180\) | 3.50467 | − | 6.23110i | 0.261223 | − | 0.464439i | ||||
\(181\) | 5.93112i | 0.440857i | 0.975403 | + | 0.220428i | \(0.0707455\pi\) | ||||
−0.975403 | + | 0.220428i | \(0.929254\pi\) | |||||||
\(182\) | 0.938747 | + | 3.48120i | 0.0695846 | + | 0.258044i | ||||
\(183\) | −0.432943 | + | 3.43784i | −0.0320041 | + | 0.254133i | ||||
\(184\) | 2.05889 | − | 7.68390i | 0.151784 | − | 0.566464i | ||||
\(185\) | 11.2503 | − | 6.49535i | 0.827136 | − | 0.477547i | ||||
\(186\) | −3.77604 | − | 2.86386i | −0.276872 | − | 0.209988i | ||||
\(187\) | 1.19971 | + | 1.19971i | 0.0877316 | + | 0.0877316i | ||||
\(188\) | −0.482964 | − | 1.80245i | −0.0352238 | − | 0.131457i | ||||
\(189\) | −5.16241 | − | 0.591214i | −0.375510 | − | 0.0430045i | ||||
\(190\) | 5.29247 | − | 5.29247i | 0.383956 | − | 0.383956i | ||||
\(191\) | −6.94728 | − | 4.01102i | −0.502688 | − | 0.290227i | 0.227135 | − | 0.973863i | \(-0.427064\pi\) |
−0.729823 | + | 0.683636i | \(0.760397\pi\) | |||||||
\(192\) | 0.671817 | + | 1.59645i | 0.0484842 | + | 0.115214i | ||||
\(193\) | −11.0920 | − | 2.97208i | −0.798417 | − | 0.213935i | −0.163528 | − | 0.986539i | \(-0.552287\pi\) |
−0.634889 | + | 0.772604i | \(0.718954\pi\) | |||||||
\(194\) | 10.9553 | 0.786543 | ||||||||
\(195\) | −1.83588 | + | 14.7683i | −0.131470 | + | 1.05758i | ||||
\(196\) | −1.00000 | −0.0714286 | ||||||||
\(197\) | 5.05278 | + | 1.35389i | 0.359995 | + | 0.0964605i | 0.434283 | − | 0.900776i | \(-0.357002\pi\) |
−0.0742879 | + | 0.997237i | \(0.523668\pi\) | |||||||
\(198\) | 4.36672 | + | 15.5930i | 0.310329 | + | 1.10815i | ||||
\(199\) | −9.41221 | − | 5.43414i | −0.667214 | − | 0.385216i | 0.127806 | − | 0.991799i | \(-0.459206\pi\) |
−0.795020 | + | 0.606583i | \(0.792540\pi\) | |||||||
\(200\) | 0.479993 | − | 0.479993i | 0.0339407 | − | 0.0339407i | ||||
\(201\) | −0.328717 | − | 2.39278i | −0.0231859 | − | 0.168774i | ||||
\(202\) | 1.03121 | + | 3.84851i | 0.0725554 | + | 0.270780i | ||||
\(203\) | 7.34809 | + | 7.34809i | 0.515735 | + | 0.515735i | ||||
\(204\) | 0.328998 | − | 0.433789i | 0.0230345 | − | 0.0303713i | ||||
\(205\) | 15.2842 | − | 8.82432i | 1.06749 | − | 0.616317i | ||||
\(206\) | −2.80407 | + | 10.4649i | −0.195369 | + | 0.729127i | ||||
\(207\) | −23.1197 | − | 5.91699i | −1.60693 | − | 0.411259i | ||||
\(208\) | −2.55358 | − | 2.54543i | −0.177059 | − | 0.176494i | ||||
\(209\) | 16.9531i | 1.17267i | ||||||||
\(210\) | −3.82216 | − | 1.55806i | −0.263754 | − | 0.107516i | ||||
\(211\) | 7.68985 | + | 13.3192i | 0.529391 | + | 0.916932i | 0.999412 | + | 0.0342769i | \(0.0109128\pi\) |
−0.470022 | + | 0.882655i | \(0.655754\pi\) | |||||||
\(212\) | −6.72068 | + | 11.6406i | −0.461578 | + | 0.799477i | ||||
\(213\) | −16.3601 | − | 21.0745i | −1.12098 | − | 1.44400i | ||||
\(214\) | −0.888880 | + | 0.238175i | −0.0607626 | + | 0.0162813i | ||||
\(215\) | 10.4079 | − | 2.78880i | 0.709816 | − | 0.190195i | ||||
\(216\) | 4.76638 | − | 2.06920i | 0.324311 | − | 0.140791i | ||||
\(217\) | −1.36809 | + | 2.36961i | −0.0928722 | + | 0.160859i | ||||
\(218\) | −7.58686 | − | 13.1408i | −0.513847 | − | 0.890009i | ||||
\(219\) | 9.61373 | − | 23.5839i | 0.649636 | − | 1.59365i | ||||
\(220\) | 12.8627i | 0.867205i | ||||||||
\(221\) | −0.291581 | + | 1.09519i | −0.0196138 | + | 0.0736703i | ||||
\(222\) | 9.36801 | + | 1.17976i | 0.628740 | + | 0.0791801i | ||||
\(223\) | 2.99845 | − | 11.1904i | 0.200791 | − | 0.749363i | −0.789900 | − | 0.613235i | \(-0.789868\pi\) |
0.990691 | − | 0.136127i | \(-0.0434656\pi\) | |||||||
\(224\) | 0.866025 | − | 0.500000i | 0.0578638 | − | 0.0334077i | ||||
\(225\) | −1.45609 | − | 1.42369i | −0.0970725 | − | 0.0949127i | ||||
\(226\) | −2.45169 | − | 2.45169i | −0.163084 | − | 0.163084i | ||||
\(227\) | −0.908723 | − | 3.39140i | −0.0603141 | − | 0.225095i | 0.929189 | − | 0.369604i | \(-0.120507\pi\) |
−0.989504 | + | 0.144509i | \(0.953840\pi\) | |||||||
\(228\) | 5.38946 | − | 0.740398i | 0.356926 | − | 0.0490340i | ||||
\(229\) | 16.3831 | − | 16.3831i | 1.08263 | − | 1.08263i | 0.0863648 | − | 0.996264i | \(-0.472475\pi\) |
0.996264 | − | 0.0863648i | \(-0.0275251\pi\) | |||||||
\(230\) | −16.4171 | − | 9.47843i | −1.08251 | − | 0.624989i | ||||
\(231\) | 8.61708 | − | 3.62623i | 0.566962 | − | 0.238588i | ||||
\(232\) | −10.0377 | − | 2.68959i | −0.659006 | − | 0.176580i | ||||
\(233\) | 17.6100 | 1.15367 | 0.576835 | − | 0.816861i | \(-0.304288\pi\) | ||||
0.576835 | + | 0.816861i | \(0.304288\pi\) | |||||||
\(234\) | −7.54965 | + | 7.74615i | −0.493536 | + | 0.506382i | ||||
\(235\) | −4.44680 | −0.290077 | ||||||||
\(236\) | −10.6210 | − | 2.84589i | −0.691368 | − | 0.185252i | ||||
\(237\) | −1.45638 | + | 0.612874i | −0.0946024 | + | 0.0398104i | ||||
\(238\) | −0.272219 | − | 0.157166i | −0.0176453 | − | 0.0101875i | ||||
\(239\) | −4.54828 | + | 4.54828i | −0.294203 | + | 0.294203i | −0.838738 | − | 0.544535i | \(-0.816706\pi\) |
0.544535 | + | 0.838738i | \(0.316706\pi\) | |||||||
\(240\) | 4.08912 | − | 0.561758i | 0.263951 | − | 0.0362613i | ||||
\(241\) | −2.02678 | − | 7.56405i | −0.130556 | − | 0.487243i | 0.869420 | − | 0.494073i | \(-0.164493\pi\) |
−0.999977 | + | 0.00683002i | \(0.997826\pi\) | |||||||
\(242\) | −12.8231 | − | 12.8231i | −0.824298 | − | 0.824298i | ||||
\(243\) | −6.36805 | − | 14.2284i | −0.408511 | − | 0.912754i | ||||
\(244\) | −1.73250 | + | 1.00026i | −0.110912 | + | 0.0640350i | ||||
\(245\) | −0.616773 | + | 2.30183i | −0.0394042 | + | 0.147058i | ||||
\(246\) | 12.7270 | + | 1.60277i | 0.811444 | + | 0.102189i | ||||
\(247\) | −9.79819 | + | 5.67787i | −0.623444 | + | 0.361274i | ||||
\(248\) | − | 2.73619i | − | 0.173748i | ||||||
\(249\) | −7.13418 | + | 17.5012i | −0.452110 | + | 1.10909i | ||||
\(250\) | 5.14875 | + | 8.91790i | 0.325636 | + | 0.564017i | ||||
\(251\) | 1.15294 | − | 1.99695i | 0.0727729 | − | 0.126046i | −0.827343 | − | 0.561697i | \(-0.810148\pi\) |
0.900116 | + | 0.435651i | \(0.143482\pi\) | |||||||
\(252\) | −1.52913 | − | 2.58104i | −0.0963262 | − | 0.162590i | ||||
\(253\) | 41.4749 | − | 11.1132i | 2.60751 | − | 0.698679i | ||||
\(254\) | −6.90400 | + | 1.84992i | −0.433196 | + | 0.116074i | ||||
\(255\) | −0.795590 | − | 1.02485i | −0.0498218 | − | 0.0641783i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.50697 | + | 4.34221i | 0.156381 | + | 0.270859i | 0.933561 | − | 0.358419i | \(-0.116684\pi\) |
−0.777180 | + | 0.629278i | \(0.783351\pi\) | |||||||
\(258\) | 7.25224 | + | 2.95630i | 0.451504 | + | 0.184051i | ||||
\(259\) | − | 5.45134i | − | 0.338730i | ||||||
\(260\) | −7.43413 | + | 4.30794i | −0.461045 | + | 0.267167i | ||||
\(261\) | −7.72952 | + | 30.2019i | −0.478445 | + | 1.86945i | ||||
\(262\) | −2.39691 | + | 8.94539i | −0.148082 | + | 0.552648i | ||||
\(263\) | 8.92597 | − | 5.15341i | 0.550399 | − | 0.317773i | −0.198884 | − | 0.980023i | \(-0.563732\pi\) |
0.749283 | + | 0.662250i | \(0.230398\pi\) | |||||||
\(264\) | −5.64950 | + | 7.44895i | −0.347703 | + | 0.458451i | ||||
\(265\) | 22.6494 | + | 22.6494i | 1.39134 | + | 1.39134i | ||||
\(266\) | −0.812907 | − | 3.03381i | −0.0498425 | − | 0.186015i | ||||
\(267\) | −0.405103 | − | 2.94880i | −0.0247919 | − | 0.180464i | ||||
\(268\) | 0.986024 | − | 0.986024i | 0.0602310 | − | 0.0602310i | ||||
\(269\) | −22.8265 | − | 13.1789i | −1.39176 | − | 0.803532i | −0.398249 | − | 0.917277i | \(-0.630382\pi\) |
−0.993510 | + | 0.113745i | \(0.963715\pi\) | |||||||
\(270\) | −1.82316 | − | 12.2476i | −0.110954 | − | 0.745366i | ||||
\(271\) | 24.6221 | + | 6.59747i | 1.49569 | + | 0.400768i | 0.911653 | − | 0.410962i | \(-0.134807\pi\) |
0.584033 | + | 0.811730i | \(0.301474\pi\) | |||||||
\(272\) | 0.314331 | 0.0190591 | ||||||||
\(273\) | 4.98182 | + | 3.76583i | 0.301513 | + | 0.227919i | ||||
\(274\) | 4.27493 | 0.258258 | ||||||||
\(275\) | 3.53914 | + | 0.948311i | 0.213418 | + | 0.0571853i | ||||
\(276\) | −5.34427 | − | 12.6997i | −0.321687 | − | 0.764433i | ||||
\(277\) | 11.5919 | + | 6.69261i | 0.696493 | + | 0.402120i | 0.806040 | − | 0.591861i | \(-0.201607\pi\) |
−0.109547 | + | 0.993982i | \(0.534940\pi\) | |||||||
\(278\) | 4.73464 | − | 4.73464i | 0.283965 | − | 0.283965i | ||||
\(279\) | −8.20804 | + | 0.0923367i | −0.491402 | + | 0.00552805i | ||||
\(280\) | −0.616773 | − | 2.30183i | −0.0368592 | − | 0.137560i | ||||
\(281\) | 18.2454 | + | 18.2454i | 1.08843 | + | 1.08843i | 0.995691 | + | 0.0927370i | \(0.0295616\pi\) |
0.0927370 | + | 0.995691i | \(0.470438\pi\) | |||||||
\(282\) | −2.57519 | − | 1.95310i | −0.153350 | − | 0.116305i | ||||
\(283\) | 12.5647 | − | 7.25421i | 0.746891 | − | 0.431218i | −0.0776784 | − | 0.996978i | \(-0.524751\pi\) |
0.824569 | + | 0.565761i | \(0.191417\pi\) | |||||||
\(284\) | 3.98667 | − | 14.8785i | 0.236566 | − | 0.882875i | ||||
\(285\) | 1.61980 | − | 12.8623i | 0.0959489 | − | 0.761894i | ||||
\(286\) | 5.00697 | − | 18.8064i | 0.296068 | − | 1.11204i | ||||
\(287\) | − | 7.40598i | − | 0.437161i | ||||||
\(288\) | 2.61479 | + | 1.47068i | 0.154078 | + | 0.0866606i | ||||
\(289\) | 8.45060 | + | 14.6369i | 0.497094 | + | 0.860992i | ||||
\(290\) | −12.3819 | + | 21.4461i | −0.727092 | + | 1.25936i | ||||
\(291\) | 14.9887 | − | 11.6358i | 0.878656 | − | 0.682102i | ||||
\(292\) | 14.2030 | − | 3.80568i | 0.831167 | − | 0.222711i | ||||
\(293\) | 13.6841 | − | 3.66665i | 0.799435 | − | 0.214208i | 0.164099 | − | 0.986444i | \(-0.447528\pi\) |
0.635336 | + | 0.772236i | \(0.280862\pi\) | |||||||
\(294\) | −1.36818 | + | 1.06212i | −0.0797936 | + | 0.0619440i | ||||
\(295\) | −13.1015 | + | 22.6924i | −0.762798 | + | 1.32120i | ||||
\(296\) | 2.72567 | + | 4.72100i | 0.158426 | + | 0.274403i | ||||
\(297\) | 22.5361 | + | 16.6960i | 1.30768 | + | 0.968803i | ||||
\(298\) | − | 6.82972i | − | 0.395635i | ||||||
\(299\) | 20.3136 | + | 20.2488i | 1.17477 | + | 1.17102i | ||||
\(300\) | 0.146906 | − | 1.16652i | 0.00848162 | − | 0.0673493i | ||||
\(301\) | 1.17028 | − | 4.36753i | 0.0674536 | − | 0.251740i | ||||
\(302\) | 2.28859 | − | 1.32132i | 0.131694 | − | 0.0760334i | ||||
\(303\) | 5.49845 | + | 4.17018i | 0.315877 | + | 0.239571i | ||||
\(304\) | 2.22090 | + | 2.22090i | 0.127378 | + | 0.127378i | ||||
\(305\) | 1.23386 | + | 4.60484i | 0.0706508 | + | 0.263672i | ||||
\(306\) | −0.0106076 | − | 0.942935i | −0.000606395 | − | 0.0539040i | ||||
\(307\) | −10.3618 | + | 10.3618i | −0.591379 | + | 0.591379i | −0.938004 | − | 0.346625i | \(-0.887328\pi\) |
0.346625 | + | 0.938004i | \(0.387328\pi\) | |||||||
\(308\) | 4.67450 | + | 2.69882i | 0.266354 | + | 0.153780i | ||||
\(309\) | 7.27853 | + | 17.2961i | 0.414061 | + | 0.983942i | ||||
\(310\) | −6.29822 | − | 1.68760i | −0.357715 | − | 0.0958495i | ||||
\(311\) | −6.34746 | −0.359931 | −0.179966 | − | 0.983673i | \(-0.557599\pi\) | ||||
−0.179966 | + | 0.983673i | \(0.557599\pi\) | |||||||
\(312\) | −6.19730 | − | 0.770401i | −0.350853 | − | 0.0436154i | ||||
\(313\) | −19.2953 | −1.09064 | −0.545318 | − | 0.838229i | \(-0.683591\pi\) | ||||
−0.545318 | + | 0.838229i | \(0.683591\pi\) | |||||||
\(314\) | 10.8857 | + | 2.91682i | 0.614317 | + | 0.164606i | ||||
\(315\) | −6.88423 | + | 1.92788i | −0.387882 | + | 0.108624i | ||||
\(316\) | −0.790043 | − | 0.456131i | −0.0444434 | − | 0.0256594i | ||||
\(317\) | 19.2806 | − | 19.2806i | 1.08290 | − | 1.08290i | 0.0866677 | − | 0.996237i | \(-0.472378\pi\) |
0.996237 | − | 0.0866677i | \(-0.0276218\pi\) | |||||||
\(318\) | 3.16857 | + | 23.0645i | 0.177685 | + | 1.29339i | ||||
\(319\) | −14.5174 | − | 54.1798i | −0.812820 | − | 3.03349i | ||||
\(320\) | 1.68505 | + | 1.68505i | 0.0941974 | + | 0.0941974i | ||||
\(321\) | −0.963175 | + | 1.26996i | −0.0537592 | + | 0.0708823i | ||||
\(322\) | −6.88919 | + | 3.97748i | −0.383920 | + | 0.221656i | ||||
\(323\) | 0.255522 | − | 0.953622i | 0.0142176 | − | 0.0530609i | ||||
\(324\) | 4.32352 | − | 7.89349i | 0.240196 | − | 0.438527i | ||||
\(325\) | 0.637234 | + | 2.36308i | 0.0353474 | + | 0.131080i | ||||
\(326\) | − | 20.2630i | − | 1.12226i | ||||||
\(327\) | −24.3373 | − | 9.92083i | −1.34585 | − | 0.548623i | ||||
\(328\) | 3.70299 | + | 6.41377i | 0.204463 | + | 0.354141i | ||||
\(329\) | −0.933016 | + | 1.61603i | −0.0514388 | + | 0.0890946i | ||||
\(330\) | 13.6617 | + | 17.5985i | 0.752053 | + | 0.968764i | ||||
\(331\) | 18.2264 | − | 4.88375i | 1.00181 | − | 0.268435i | 0.279608 | − | 0.960114i | \(-0.409795\pi\) |
0.722205 | + | 0.691679i | \(0.243129\pi\) | |||||||
\(332\) | −10.5398 | + | 2.82413i | −0.578446 | + | 0.154994i | ||||
\(333\) | 14.0701 | − | 8.33581i | 0.771038 | − | 0.456800i | ||||
\(334\) | −8.39735 | + | 14.5446i | −0.459483 | + | 0.795847i | ||||
\(335\) | −1.66150 | − | 2.87781i | −0.0907776 | − | 0.157231i | ||||
\(336\) | 0.653816 | − | 1.60391i | 0.0356686 | − | 0.0875004i | ||||
\(337\) | 7.09230i | 0.386342i | 0.981165 | + | 0.193171i | \(0.0618772\pi\) | ||||
−0.981165 | + | 0.193171i | \(0.938123\pi\) | |||||||
\(338\) | 12.5462 | − | 3.40474i | 0.682425 | − | 0.185194i | ||||
\(339\) | −5.95834 | − | 0.750361i | −0.323612 | − | 0.0407540i | ||||
\(340\) | 0.193871 | − | 0.723536i | 0.0105141 | − | 0.0392393i | ||||
\(341\) | 12.7903 | − | 7.38448i | 0.692633 | − | 0.399892i | ||||
\(342\) | 6.58734 | − | 6.73723i | 0.356203 | − | 0.364308i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 1.17028 | + | 4.36753i | 0.0630971 | + | 0.235481i | ||||
\(345\) | −32.5287 | + | 4.46876i | −1.75129 | + | 0.240590i | ||||
\(346\) | 7.39394 | − | 7.39394i | 0.397501 | − | 0.397501i | ||||
\(347\) | 1.23698 | + | 0.714171i | 0.0664046 | + | 0.0383387i | 0.532835 | − | 0.846219i | \(-0.321127\pi\) |
−0.466430 | + | 0.884558i | \(0.654460\pi\) | |||||||
\(348\) | −16.5900 | + | 6.98137i | −0.889316 | + | 0.374241i | ||||
\(349\) | −1.85091 | − | 0.495949i | −0.0990768 | − | 0.0265475i | 0.208940 | − | 0.977928i | \(-0.432999\pi\) |
−0.308017 | + | 0.951381i | \(0.599665\pi\) | |||||||
\(350\) | −0.678813 | −0.0362841 | ||||||||
\(351\) | −2.10192 | + | 18.6167i | −0.112192 | + | 0.993687i | ||||
\(352\) | −5.39764 | −0.287695 | ||||||||
\(353\) | 10.8938 | + | 2.91899i | 0.579820 | + | 0.155362i | 0.536796 | − | 0.843712i | \(-0.319634\pi\) |
0.0430234 | + | 0.999074i | \(0.486301\pi\) | |||||||
\(354\) | −17.5541 | + | 7.38708i | −0.932988 | + | 0.392619i | ||||
\(355\) | −31.7888 | − | 18.3533i | −1.68717 | − | 0.974090i | ||||
\(356\) | 1.21515 | − | 1.21515i | 0.0644028 | − | 0.0644028i | ||||
\(357\) | −0.539372 | + | 0.0740983i | −0.0285466 | + | 0.00392170i | ||||
\(358\) | −3.65741 | − | 13.6496i | −0.193300 | − | 0.721406i | ||||
\(359\) | −7.42615 | − | 7.42615i | −0.391937 | − | 0.391937i | 0.483440 | − | 0.875377i | \(-0.339387\pi\) |
−0.875377 | + | 0.483440i | \(0.839387\pi\) | |||||||
\(360\) | 4.99798 | − | 5.11171i | 0.263417 | − | 0.269411i | ||||
\(361\) | −7.91130 | + | 4.56759i | −0.416384 | + | 0.240399i | ||||
\(362\) | −1.53509 | + | 5.72902i | −0.0806824 | + | 0.301111i | ||||
\(363\) | −31.1638 | − | 3.92460i | −1.63568 | − | 0.205988i | ||||
\(364\) | 0.00575899 | + | 3.60555i | 0.000301853 | + | 0.188982i | ||||
\(365\) | − | 35.0401i | − | 1.83408i | ||||||
\(366\) | −1.30797 | + | 3.20865i | −0.0683687 | + | 0.167719i | ||||
\(367\) | 2.03209 | + | 3.51968i | 0.106074 | + | 0.183726i | 0.914177 | − | 0.405316i | \(-0.132839\pi\) |
−0.808102 | + | 0.589042i | \(0.799505\pi\) | |||||||
\(368\) | 3.97748 | − | 6.88919i | 0.207340 | − | 0.359124i | ||||
\(369\) | 19.1151 | − | 11.3247i | 0.995093 | − | 0.589541i | ||||
\(370\) | 12.5480 | − | 3.36224i | 0.652342 | − | 0.174794i | ||||
\(371\) | 12.9834 | − | 3.47888i | 0.674063 | − | 0.180615i | ||||
\(372\) | −2.90615 | − | 3.74358i | −0.150677 | − | 0.194096i | ||||
\(373\) | −8.51183 | + | 14.7429i | −0.440726 | + | 0.763360i | −0.997744 | − | 0.0671409i | \(-0.978612\pi\) |
0.557017 | + | 0.830501i | \(0.311946\pi\) | |||||||
\(374\) | 0.848325 | + | 1.46934i | 0.0438658 | + | 0.0759778i | ||||
\(375\) | 16.5163 | + | 6.73267i | 0.852896 | + | 0.347674i | ||||
\(376\) | − | 1.86603i | − | 0.0962332i | ||||||
\(377\) | 26.4516 | − | 26.5362i | 1.36233 | − | 1.36668i | ||||
\(378\) | −4.83349 | − | 1.90720i | −0.248608 | − | 0.0980957i | ||||
\(379\) | −0.821206 | + | 3.06478i | −0.0421825 | + | 0.157427i | −0.983805 | − | 0.179245i | \(-0.942635\pi\) |
0.941622 | + | 0.336672i | \(0.109301\pi\) | |||||||
\(380\) | 6.48192 | − | 3.74234i | 0.332516 | − | 0.191978i | ||||
\(381\) | −7.48106 | + | 9.86389i | −0.383266 | + | 0.505342i | ||||
\(382\) | −5.67243 | − | 5.67243i | −0.290227 | − | 0.290227i | ||||
\(383\) | −9.20354 | − | 34.3481i | −0.470279 | − | 1.75511i | −0.638766 | − | 0.769401i | \(-0.720555\pi\) |
0.168487 | − | 0.985704i | \(-0.446112\pi\) | |||||||
\(384\) | 0.235733 | + | 1.71593i | 0.0120297 | + | 0.0875659i | ||||
\(385\) | 9.09532 | − | 9.09532i | 0.463540 | − | 0.463540i | ||||
\(386\) | −9.94478 | − | 5.74162i | −0.506176 | − | 0.292241i | ||||
\(387\) | 13.0623 | − | 3.65800i | 0.663993 | − | 0.185946i | ||||
\(388\) | 10.5820 | + | 2.83543i | 0.537219 | + | 0.143947i | ||||
\(389\) | −19.8980 | −1.00887 | −0.504434 | − | 0.863450i | \(-0.668299\pi\) | ||||
−0.504434 | + | 0.863450i | \(0.668299\pi\) | |||||||
\(390\) | −5.59565 | + | 13.7899i | −0.283347 | + | 0.698281i | ||||
\(391\) | −2.50049 | −0.126455 | ||||||||
\(392\) | −0.965926 | − | 0.258819i | −0.0487866 | − | 0.0130723i | ||||
\(393\) | 6.22166 | + | 14.7847i | 0.313841 | + | 0.745788i | ||||
\(394\) | 4.53019 | + | 2.61551i | 0.228228 | + | 0.131767i | ||||
\(395\) | −1.53721 | + | 1.53721i | −0.0773455 | + | 0.0773455i | ||||
\(396\) | 0.182152 | + | 16.1919i | 0.00915346 | + | 0.813674i | ||||
\(397\) | 8.93785 | + | 33.3565i | 0.448578 | + | 1.67411i | 0.706314 | + | 0.707899i | \(0.250357\pi\) |
−0.257736 | + | 0.966215i | \(0.582976\pi\) | |||||||
\(398\) | −7.68504 | − | 7.68504i | −0.385216 | − | 0.385216i | ||||
\(399\) | −4.33446 | − | 3.28738i | −0.216995 | − | 0.164575i | ||||
\(400\) | 0.587869 | − | 0.339407i | 0.0293935 | − | 0.0169703i | ||||
\(401\) | −0.0962543 | + | 0.359226i | −0.00480671 | + | 0.0179389i | −0.968288 | − | 0.249838i | \(-0.919622\pi\) |
0.963481 | + | 0.267777i | \(0.0862892\pi\) | |||||||
\(402\) | 0.301781 | − | 2.39633i | 0.0150515 | − | 0.119518i | ||||
\(403\) | 8.55160 | + | 4.91908i | 0.425986 | + | 0.245037i | ||||
\(404\) | 3.98427i | 0.198225i | ||||||||
\(405\) | −15.5028 | − | 14.8205i | −0.770341 | − | 0.736436i | ||||
\(406\) | 5.19588 | + | 8.99954i | 0.257867 | + | 0.446640i | ||||
\(407\) | −14.7122 | + | 25.4823i | −0.729257 | + | 1.26311i | ||||
\(408\) | 0.430061 | − | 0.333857i | 0.0212912 | − | 0.0165284i | ||||
\(409\) | 7.07285 | − | 1.89516i | 0.349730 | − | 0.0937098i | −0.0796777 | − | 0.996821i | \(-0.525389\pi\) |
0.429407 | + | 0.903111i | \(0.358722\pi\) | |||||||
\(410\) | 17.0473 | − | 4.56780i | 0.841905 | − | 0.225588i | ||||
\(411\) | 5.84885 | − | 4.54048i | 0.288503 | − | 0.223965i | ||||
\(412\) | −5.41705 | + | 9.38260i | −0.266879 | + | 0.462248i | ||||
\(413\) | 5.49783 | + | 9.52253i | 0.270531 | + | 0.468573i | ||||
\(414\) | −20.8005 | − | 11.6992i | −1.02229 | − | 0.574984i | ||||
\(415\) | 26.0026i | 1.27642i | ||||||||
\(416\) | −1.80776 | − | 3.11962i | −0.0886328 | − | 0.152952i | ||||
\(417\) | 1.44908 | − | 11.5066i | 0.0709616 | − | 0.563479i | ||||
\(418\) | −4.38778 | + | 16.3754i | −0.214613 | + | 0.800948i | ||||
\(419\) | 6.05575 | − | 3.49629i | 0.295843 | − | 0.170805i | −0.344731 | − | 0.938702i | \(-0.612030\pi\) |
0.640574 | + | 0.767897i | \(0.278697\pi\) | |||||||
\(420\) | −3.28866 | − | 2.49422i | −0.160470 | − | 0.121705i | ||||
\(421\) | −17.6307 | − | 17.6307i | −0.859267 | − | 0.859267i | 0.131985 | − | 0.991252i | \(-0.457865\pi\) |
−0.991252 | + | 0.131985i | \(0.957865\pi\) | |||||||
\(422\) | 3.98056 | + | 14.8556i | 0.193771 | + | 0.723161i | ||||
\(423\) | −5.59774 | + | 0.0629720i | −0.272171 | + | 0.00306180i | ||||
\(424\) | −9.50448 | + | 9.50448i | −0.461578 | + | 0.461578i | ||||
\(425\) | −0.184786 | − | 0.106686i | −0.00896343 | − | 0.00517504i | ||||
\(426\) | −10.3482 | − | 24.5907i | −0.501373 | − | 1.19142i | ||||
\(427\) | 1.93235 | + | 0.517772i | 0.0935130 | + | 0.0250567i | ||||
\(428\) | −0.920236 | −0.0444813 | ||||||||
\(429\) | −13.1242 | − | 31.0484i | −0.633641 | − | 1.49903i | ||||
\(430\) | 10.7751 | 0.519621 | ||||||||
\(431\) | −9.14787 | − | 2.45116i | −0.440637 | − | 0.118068i | 0.0316778 | − | 0.999498i | \(-0.489915\pi\) |
−0.472315 | + | 0.881430i | \(0.656582\pi\) | |||||||
\(432\) | 5.13952 | − | 0.765061i | 0.247275 | − | 0.0368090i | ||||
\(433\) | −15.2953 | − | 8.83075i | −0.735046 | − | 0.424379i | 0.0852196 | − | 0.996362i | \(-0.472841\pi\) |
−0.820265 | + | 0.571983i | \(0.806174\pi\) | |||||||
\(434\) | −1.93478 | + | 1.93478i | −0.0928722 | + | 0.0928722i | ||||
\(435\) | 5.83766 | + | 42.4931i | 0.279894 | + | 2.03739i | ||||
\(436\) | −3.92725 | − | 14.6567i | −0.188081 | − | 0.701928i | ||||
\(437\) | −17.6672 | − | 17.6672i | −0.845136 | − | 0.845136i | ||||
\(438\) | 15.3901 | − | 20.2921i | 0.735368 | − | 0.969594i | ||||
\(439\) | 17.1442 | − | 9.89820i | 0.818248 | − | 0.472415i | −0.0315642 | − | 0.999502i | \(-0.510049\pi\) |
0.849812 | + | 0.527086i | \(0.176716\pi\) | |||||||
\(440\) | −3.32912 | + | 12.4244i | −0.158709 | + | 0.592312i | ||||
\(441\) | −0.743811 | + | 2.90633i | −0.0354196 | + | 0.138397i | ||||
\(442\) | −0.565101 | + | 0.982404i | −0.0268791 | + | 0.0467282i | ||||
\(443\) | 20.9178i | 0.993835i | 0.867798 | + | 0.496918i | \(0.165535\pi\) | ||||
−0.867798 | + | 0.496918i | \(0.834465\pi\) | |||||||
\(444\) | 8.74346 | + | 3.56418i | 0.414946 | + | 0.169148i | ||||
\(445\) | −2.04759 | − | 3.54653i | −0.0970652 | − | 0.168122i | ||||
\(446\) | 5.79256 | − | 10.0330i | 0.274286 | − | 0.475077i | ||||
\(447\) | −7.25397 | − | 9.34426i | −0.343101 | − | 0.441968i | ||||
\(448\) | 0.965926 | − | 0.258819i | 0.0456357 | − | 0.0122281i | ||||
\(449\) | −6.41982 | + | 1.72019i | −0.302970 | + | 0.0811806i | −0.407101 | − | 0.913383i | \(-0.633460\pi\) |
0.104131 | + | 0.994564i | \(0.466794\pi\) | |||||||
\(450\) | −1.03799 | − | 1.75204i | −0.0489315 | − | 0.0825921i | ||||
\(451\) | −19.9874 | + | 34.6192i | −0.941171 | + | 1.63016i | ||||
\(452\) | −1.73361 | − | 3.00270i | −0.0815421 | − | 0.141235i | ||||
\(453\) | 1.72780 | − | 4.23855i | 0.0811792 | − | 0.199145i | ||||
\(454\) | − | 3.51104i | − | 0.164781i | ||||||
\(455\) | 8.30289 | + | 2.21055i | 0.389246 | + | 0.103632i | ||||
\(456\) | 5.39745 | + | 0.679726i | 0.252759 | + | 0.0318311i | ||||
\(457\) | −3.75260 | + | 14.0049i | −0.175539 | + | 0.655122i | 0.820920 | + | 0.571044i | \(0.193461\pi\) |
−0.996459 | + | 0.0840783i | \(0.973205\pi\) | |||||||
\(458\) | 20.0652 | − | 11.5846i | 0.937584 | − | 0.541314i | ||||
\(459\) | −1.01602 | − | 1.27883i | −0.0474238 | − | 0.0596909i | ||||
\(460\) | −13.4045 | − | 13.4045i | −0.624989 | − | 0.624989i | ||||
\(461\) | 2.64045 | + | 9.85429i | 0.122978 | + | 0.458960i | 0.999760 | − | 0.0219289i | \(-0.00698073\pi\) |
−0.876782 | + | 0.480889i | \(0.840314\pi\) | |||||||
\(462\) | 9.26200 | − | 1.27240i | 0.430907 | − | 0.0591975i | ||||
\(463\) | 2.59471 | − | 2.59471i | 0.120586 | − | 0.120586i | −0.644238 | − | 0.764825i | \(-0.722826\pi\) |
0.764825 | + | 0.644238i | \(0.222826\pi\) | |||||||
\(464\) | −8.99954 | − | 5.19588i | −0.417793 | − | 0.241213i | ||||
\(465\) | −10.4095 | + | 4.38052i | −0.482730 | + | 0.203142i | ||||
\(466\) | 17.0100 | + | 4.55781i | 0.787971 | + | 0.211136i | ||||
\(467\) | −2.35099 | −0.108791 | −0.0543954 | − | 0.998519i | \(-0.517323\pi\) | ||||
−0.0543954 | + | 0.998519i | \(0.517323\pi\) | |||||||
\(468\) | −9.29725 | + | 5.52822i | −0.429765 | + | 0.255542i | ||||
\(469\) | −1.39445 | −0.0643896 | ||||||||
\(470\) | −4.29528 | − | 1.15092i | −0.198126 | − | 0.0530878i | ||||
\(471\) | 17.9916 | − | 7.57120i | 0.829009 | − | 0.348862i | ||||
\(472\) | −9.52253 | − | 5.49783i | −0.438310 | − | 0.253058i | ||||
\(473\) | −17.2576 | + | 17.2576i | −0.793507 | + | 0.793507i | ||||
\(474\) | −1.56538 | + | 0.215050i | −0.0719004 | + | 0.00987760i | ||||
\(475\) | −0.551812 | − | 2.05939i | −0.0253189 | − | 0.0944913i | ||||
\(476\) | −0.222266 | − | 0.222266i | −0.0101875 | − | 0.0101875i | ||||
\(477\) | 28.8324 | + | 28.1909i | 1.32014 | + | 1.29077i | ||||
\(478\) | −5.57048 | + | 3.21612i | −0.254788 | + | 0.147102i | ||||
\(479\) | 6.34353 | − | 23.6744i | 0.289843 | − | 1.08171i | −0.655384 | − | 0.755296i | \(-0.727493\pi\) |
0.945227 | − | 0.326414i | \(-0.105840\pi\) | |||||||
\(480\) | 4.09518 | + | 0.515725i | 0.186918 | + | 0.0235395i | ||||
\(481\) | −19.6551 | + | 0.0313942i | −0.896194 | + | 0.00143145i | ||||
\(482\) | − | 7.83088i | − | 0.356687i | ||||||
\(483\) | −5.20108 | + | 12.7590i | −0.236657 | + | 0.580556i | ||||
\(484\) | −9.06727 | − | 15.7050i | −0.412149 | − | 0.713863i | ||||
\(485\) | 13.0534 | − | 22.6091i | 0.592722 | − | 1.02662i | ||||
\(486\) | −2.46848 | − | 15.3918i | −0.111972 | − | 0.698185i | ||||
\(487\) | −28.3651 | + | 7.60040i | −1.28534 | + | 0.344407i | −0.835890 | − | 0.548897i | \(-0.815048\pi\) |
−0.449454 | + | 0.893304i | \(0.648381\pi\) | |||||||
\(488\) | −1.93235 | + | 0.517772i | −0.0874734 | + | 0.0234384i | ||||
\(489\) | −21.5217 | − | 27.7233i | −0.973243 | − | 1.25369i | ||||
\(490\) | −1.19151 | + | 2.06376i | −0.0538271 | + | 0.0932312i | ||||
\(491\) | −2.03495 | − | 3.52464i | −0.0918360 | − | 0.159065i | 0.816448 | − | 0.577419i | \(-0.195940\pi\) |
−0.908284 | + | 0.418355i | \(0.862607\pi\) | |||||||
\(492\) | 11.8785 | + | 4.84215i | 0.535525 | + | 0.218301i | ||||
\(493\) | 3.26646i | 0.147114i | ||||||||
\(494\) | −10.9339 | + | 2.94845i | −0.491938 | + | 0.132657i | ||||
\(495\) | 37.3833 | + | 9.56744i | 1.68025 | + | 0.430024i | ||||
\(496\) | 0.708177 | − | 2.64295i | 0.0317981 | − | 0.118672i | ||||
\(497\) | −13.3397 | + | 7.70166i | −0.598366 | + | 0.345467i | ||||
\(498\) | −11.4207 | + | 15.0584i | −0.511775 | + | 0.674783i | ||||
\(499\) | 3.98743 | + | 3.98743i | 0.178502 | + | 0.178502i | 0.790702 | − | 0.612201i | \(-0.209716\pi\) |
−0.612201 | + | 0.790702i | \(0.709716\pi\) | |||||||
\(500\) | 2.66519 | + | 9.94662i | 0.119191 | + | 0.444826i | ||||
\(501\) | 3.95907 | + | 28.8186i | 0.176878 | + | 1.28752i | ||||
\(502\) | 1.63050 | − | 1.63050i | 0.0727729 | − | 0.0727729i | ||||
\(503\) | −0.509042 | − | 0.293895i | −0.0226970 | − | 0.0131041i | 0.488609 | − | 0.872503i | \(-0.337505\pi\) |
−0.511306 | + | 0.859399i | \(0.670838\pi\) | |||||||
\(504\) | −0.809005 | − | 2.88886i | −0.0360359 | − | 0.128680i | ||||
\(505\) | 9.17111 | + | 2.45739i | 0.408109 | + | 0.109352i | ||||
\(506\) | 42.9380 | 1.90883 | ||||||||
\(507\) | 13.5492 | − | 17.9839i | 0.601741 | − | 0.798691i | ||||
\(508\) | −7.14755 | −0.317121 | ||||||||
\(509\) | 16.4316 | + | 4.40284i | 0.728319 | + | 0.195153i | 0.603881 | − | 0.797075i | \(-0.293620\pi\) |
0.124439 | + | 0.992227i | \(0.460287\pi\) | |||||||
\(510\) | −0.503231 | − | 1.19584i | −0.0222835 | − | 0.0529526i | ||||
\(511\) | −12.7341 | − | 7.35201i | −0.563322 | − | 0.325234i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 1.85690 | − | 16.2143i | 0.0819843 | − | 0.715877i | ||||
\(514\) | 1.29770 | + | 4.84310i | 0.0572393 | + | 0.213620i | ||||
\(515\) | 18.2560 | + | 18.2560i | 0.804457 | + | 0.804457i | ||||
\(516\) | 6.23998 | + | 4.73258i | 0.274700 | + | 0.208340i | ||||
\(517\) | 8.72275 | − | 5.03608i | 0.383626 | − | 0.221487i | ||||
\(518\) | 1.41091 | − | 5.26559i | 0.0619919 | − | 0.231357i | ||||
\(519\) | 2.26298 | − | 17.9695i | 0.0993337 | − | 0.788772i | ||||
\(520\) | −8.29579 | + | 2.23706i | −0.363794 | + | 0.0981015i | ||||
\(521\) | − | 6.59626i | − | 0.288988i | −0.989506 | − | 0.144494i | \(-0.953845\pi\) | ||
0.989506 | − | 0.144494i | \(-0.0461554\pi\) | |||||||
\(522\) | −15.2830 | + | 27.1722i | −0.668917 | + | 1.18930i | ||||
\(523\) | −19.5875 | − | 33.9266i | −0.856503 | − | 1.48351i | −0.875244 | − | 0.483682i | \(-0.839299\pi\) |
0.0187410 | − | 0.999824i | \(-0.494034\pi\) | |||||||
\(524\) | −4.63047 | + | 8.02021i | −0.202283 | + | 0.350365i | ||||
\(525\) | −0.928736 | + | 0.720979i | −0.0405334 | + | 0.0314661i | ||||
\(526\) | 9.95563 | − | 2.66760i | 0.434086 | − | 0.116313i | ||||
\(527\) | −0.830763 | + | 0.222602i | −0.0361886 | + | 0.00969671i | ||||
\(528\) | −7.38493 | + | 5.73293i | −0.321388 | + | 0.249494i | ||||
\(529\) | −20.1407 | + | 34.8846i | −0.875680 | + | 1.51672i | ||||
\(530\) | 16.0156 | + | 27.7398i | 0.695672 | + | 1.20494i | ||||
\(531\) | −16.1711 | + | 28.7513i | −0.701766 | + | 1.24770i | ||||
\(532\) | − | 3.14083i | − | 0.136172i | ||||||
\(533\) | −26.7026 | + | 0.0426510i | −1.15662 | + | 0.00184742i | ||||
\(534\) | 0.371906 | − | 2.95317i | 0.0160940 | − | 0.127796i | ||||
\(535\) | −0.567576 | + | 2.11822i | −0.0245385 | + | 0.0915788i | ||||
\(536\) | 1.20763 | − | 0.697224i | 0.0521616 | − | 0.0301155i | ||||
\(537\) | −19.5015 | − | 14.7905i | −0.841552 | − | 0.638258i | ||||
\(538\) | −18.6378 | − | 18.6378i | −0.803532 | − | 0.803532i | ||||
\(539\) | −1.39701 | − | 5.21372i | −0.0601736 | − | 0.224571i | ||||
\(540\) | 1.40888 | − | 12.3022i | 0.0606285 | − | 0.529400i | ||||
\(541\) | −9.44349 | + | 9.44349i | −0.406008 | + | 0.406008i | −0.880344 | − | 0.474336i | \(-0.842688\pi\) |
0.474336 | + | 0.880344i | \(0.342688\pi\) | |||||||
\(542\) | 22.0756 | + | 12.7453i | 0.948227 | + | 0.547459i | ||||
\(543\) | 3.98463 | + | 9.46876i | 0.170997 | + | 0.406343i | ||||
\(544\) | 0.303621 | + | 0.0813550i | 0.0130176 | + | 0.00348807i | ||||
\(545\) | −36.1594 | −1.54890 | ||||||||
\(546\) | 3.83739 | + | 4.92691i | 0.164225 | + | 0.210852i | ||||
\(547\) | −37.4451 | −1.60104 | −0.800519 | − | 0.599307i | \(-0.795443\pi\) | ||||
−0.800519 | + | 0.599307i | \(0.795443\pi\) | |||||||
\(548\) | 4.12926 | + | 1.10643i | 0.176393 | + | 0.0472645i | ||||
\(549\) | 1.61843 | + | 5.77921i | 0.0690728 | + | 0.246651i | ||||
\(550\) | 3.17311 | + | 1.83200i | 0.135302 | + | 0.0781165i | ||||
\(551\) | −23.0791 | + | 23.0791i | −0.983203 | + | 0.983203i | ||||
\(552\) | −1.87525 | − | 13.6502i | −0.0798157 | − | 0.580990i | ||||
\(553\) | 0.236111 | + | 0.881178i | 0.0100405 | + | 0.0374715i | ||||
\(554\) | 9.46478 | + | 9.46478i | 0.402120 | + | 0.402120i | ||||
\(555\) | 13.5968 | − | 17.9276i | 0.577154 | − | 0.760986i | ||||
\(556\) | 5.79873 | − | 3.34790i | 0.245921 | − | 0.141982i | ||||
\(557\) | −6.25932 | + | 23.3601i | −0.265216 | + | 0.989799i | 0.696902 | + | 0.717166i | \(0.254561\pi\) |
−0.962118 | + | 0.272633i | \(0.912106\pi\) | |||||||
\(558\) | −7.95225 | − | 2.03521i | −0.336646 | − | 0.0861571i | ||||
\(559\) | −15.7541 | − | 4.19433i | −0.666326 | − | 0.177401i | ||||
\(560\) | − | 2.38303i | − | 0.100701i | ||||||
\(561\) | 2.72127 | + | 1.10930i | 0.114892 | + | 0.0468345i | ||||
\(562\) | 12.9014 | + | 22.3459i | 0.544214 | + | 0.942606i | ||||
\(563\) | 7.44158 | − | 12.8892i | 0.313625 | − | 0.543215i | −0.665519 | − | 0.746381i | \(-0.731790\pi\) |
0.979144 | + | 0.203166i | \(0.0651231\pi\) | |||||||
\(564\) | −1.98194 | − | 2.55306i | −0.0834549 | − | 0.107503i | ||||
\(565\) | −7.98094 | + | 2.13849i | −0.335761 | + | 0.0899668i | ||||
\(566\) | 14.0140 | − | 3.75505i | 0.589054 | − | 0.157837i | ||||
\(567\) | −8.63873 | + | 2.52435i | −0.362793 | + | 0.106013i | ||||
\(568\) | 7.70166 | − | 13.3397i | 0.323155 | − | 0.559720i | ||||
\(569\) | 21.4049 | + | 37.0743i | 0.897339 | + | 1.55424i | 0.830883 | + | 0.556447i | \(0.187836\pi\) |
0.0664562 | + | 0.997789i | \(0.478831\pi\) | |||||||
\(570\) | 4.89361 | − | 12.0047i | 0.204971 | − | 0.502824i | ||||
\(571\) | − | 4.14595i | − | 0.173503i | −0.996230 | − | 0.0867514i | \(-0.972351\pi\) | ||
0.996230 | − | 0.0867514i | \(-0.0276486\pi\) | |||||||
\(572\) | 9.70381 | − | 16.8697i | 0.405737 | − | 0.705356i | ||||
\(573\) | −13.7857 | − | 1.73609i | −0.575905 | − | 0.0725264i | ||||
\(574\) | 1.91681 | − | 7.15363i | 0.0800060 | − | 0.298587i | ||||
\(575\) | −4.67647 | + | 2.69996i | −0.195022 | + | 0.112596i | ||||
\(576\) | 2.14505 | + | 2.09732i | 0.0893770 | + | 0.0873885i | ||||
\(577\) | 8.72938 | + | 8.72938i | 0.363409 | + | 0.363409i | 0.865066 | − | 0.501657i | \(-0.167276\pi\) |
−0.501657 | + | 0.865066i | \(0.667276\pi\) | |||||||
\(578\) | 4.37435 | + | 16.3253i | 0.181949 | + | 0.679043i | ||||
\(579\) | −19.7045 | + | 2.70698i | −0.818891 | + | 0.112498i | ||||
\(580\) | −17.5107 | + | 17.5107i | −0.727092 | + | 0.727092i | ||||
\(581\) | 9.44972 | + | 5.45580i | 0.392040 | + | 0.226345i | ||||
\(582\) | 17.4896 | − | 7.35994i | 0.724966 | − | 0.305079i | ||||
\(583\) | −70.0796 | − | 18.7778i | −2.90240 | − | 0.777696i | ||||
\(584\) | 14.7040 | 0.608457 | ||||||||
\(585\) | 6.99070 | + | 24.8103i | 0.289030 | + | 1.02578i | ||||
\(586\) | 14.1669 | 0.585227 | ||||||||
\(587\) | 20.4212 | + | 5.47185i | 0.842874 | + | 0.225847i | 0.654322 | − | 0.756216i | \(-0.272954\pi\) |
0.188552 | + | 0.982063i | \(0.439621\pi\) | |||||||
\(588\) | −1.59645 | + | 0.671817i | −0.0658366 | + | 0.0277053i | ||||
\(589\) | −7.44253 | − | 4.29695i | −0.306664 | − | 0.177053i | ||||
\(590\) | −18.5283 | + | 18.5283i | −0.762798 | + | 0.762798i | ||||
\(591\) | 8.97608 | − | 1.23312i | 0.369227 | − | 0.0507239i | ||||
\(592\) | 1.41091 | + | 5.26559i | 0.0579881 | + | 0.216415i | ||||
\(593\) | 3.55722 | + | 3.55722i | 0.146077 | + | 0.146077i | 0.776363 | − | 0.630286i | \(-0.217062\pi\) |
−0.630286 | + | 0.776363i | \(0.717062\pi\) | |||||||
\(594\) | 17.4469 | + | 21.9599i | 0.715856 | + | 0.901026i | ||||
\(595\) | −0.648705 | + | 0.374530i | −0.0265943 | + | 0.0153542i | ||||
\(596\) | 1.76766 | − | 6.59700i | 0.0724062 | − | 0.270224i | ||||
\(597\) | −18.6769 | − | 2.35207i | −0.764395 | − | 0.0962638i | ||||
\(598\) | 14.3807 | + | 24.8164i | 0.588069 | + | 1.01482i | ||||
\(599\) | − | 26.3024i | − | 1.07469i | −0.843363 | − | 0.537344i | \(-0.819428\pi\) | ||
0.843363 | − | 0.537344i | \(-0.180572\pi\) | |||||||
\(600\) | 0.443819 | − | 1.08875i | 0.0181188 | − | 0.0444482i | ||||
\(601\) | 4.78852 | + | 8.29396i | 0.195328 | + | 0.338317i | 0.947008 | − | 0.321210i | \(-0.104090\pi\) |
−0.751680 | + | 0.659528i | \(0.770756\pi\) | |||||||
\(602\) | 2.26080 | − | 3.91582i | 0.0921433 | − | 0.159597i | ||||
\(603\) | −2.13229 | − | 3.59912i | −0.0868337 | − | 0.146568i | ||||
\(604\) | 2.55259 | − | 0.683966i | 0.103864 | − | 0.0278302i | ||||
\(605\) | −41.7426 | + | 11.1849i | −1.69708 | + | 0.454731i | ||||
\(606\) | 4.23177 | + | 5.45119i | 0.171904 | + | 0.221439i | ||||
\(607\) | 14.0402 | − | 24.3184i | 0.569876 | − | 0.987054i | −0.426702 | − | 0.904392i | \(-0.640325\pi\) |
0.996578 | − | 0.0826613i | \(-0.0263420\pi\) | |||||||
\(608\) | 1.57042 | + | 2.72004i | 0.0636888 | + | 0.110312i | ||||
\(609\) | 16.6675 | + | 6.79431i | 0.675399 | + | 0.275319i | ||||
\(610\) | 4.76728i | 0.193022i | ||||||||
\(611\) | 5.83205 | + | 3.35472i | 0.235939 | + | 0.135718i | ||||
\(612\) | 0.233803 | − | 0.913550i | 0.00945094 | − | 0.0369281i | ||||
\(613\) | 1.45241 | − | 5.42048i | 0.0586624 | − | 0.218931i | −0.930372 | − | 0.366617i | \(-0.880516\pi\) |
0.989034 | + | 0.147686i | \(0.0471825\pi\) | |||||||
\(614\) | −12.6905 | + | 7.32689i | −0.512149 | + | 0.295689i | ||||
\(615\) | 18.4721 | − | 24.3558i | 0.744868 | − | 0.982120i | ||||
\(616\) | 3.81671 | + | 3.81671i | 0.153780 | + | 0.153780i | ||||
\(617\) | −11.9962 | − | 44.7703i | −0.482948 | − | 1.80239i | −0.589129 | − | 0.808039i | \(-0.700529\pi\) |
0.106182 | − | 0.994347i | \(-0.466138\pi\) | |||||||
\(618\) | 2.55395 | + | 18.5906i | 0.102735 | + | 0.747824i | ||||
\(619\) | −7.09633 | + | 7.09633i | −0.285226 | + | 0.285226i | −0.835189 | − | 0.549963i | \(-0.814642\pi\) |
0.549963 | + | 0.835189i | \(0.314642\pi\) | |||||||
\(620\) | −5.64683 | − | 3.26020i | −0.226782 | − | 0.130933i | ||||
\(621\) | −40.8847 | + | 6.08603i | −1.64064 | + | 0.244224i | ||||
\(622\) | −6.13117 | − | 1.64284i | −0.245838 | − | 0.0658720i | ||||
\(623\) | −1.71848 | −0.0688495 | ||||||||
\(624\) | −5.78673 | − | 2.34813i | −0.231655 | − | 0.0940004i | ||||
\(625\) | 27.9333 | 1.11733 | ||||||||
\(626\) | −18.6379 | − | 4.99400i | −0.744918 | − | 0.199600i | ||||
\(627\) | 11.3894 | + | 27.0648i | 0.454848 | + | 1.08086i | ||||
\(628\) | 9.75987 | + | 5.63487i | 0.389461 | + | 0.224856i | ||||
\(629\) | 1.21165 | − | 1.21165i | 0.0483116 | − | 0.0483116i | ||||
\(630\) | −7.14863 | + | 0.0804188i | −0.284808 | + | 0.00320396i | ||||
\(631\) | 6.92849 | + | 25.8575i | 0.275819 | + | 1.02937i | 0.955291 | + | 0.295668i | \(0.0955422\pi\) |
−0.679472 | + | 0.733701i | \(0.737791\pi\) | |||||||
\(632\) | −0.645067 | − | 0.645067i | −0.0256594 | − | 0.0256594i | ||||
\(633\) | 21.2245 | + | 16.0973i | 0.843600 | + | 0.639811i | ||||
\(634\) | 23.6138 | − | 13.6334i | 0.937823 | − | 0.541452i | ||||
\(635\) | −4.40841 | + | 16.4524i | −0.174943 | + | 0.652894i | ||||
\(636\) | −2.90893 | + | 23.0987i | −0.115346 | + | 0.915923i | ||||
\(637\) | 2.54543 | − | 2.55358i | 0.100854 | − | 0.101176i | ||||
\(638\) | − | 56.0911i | − | 2.22067i | ||||||
\(639\) | −40.2764 | − | 22.6534i | −1.59331 | − | 0.896153i | ||||
\(640\) | 1.19151 | + | 2.06376i | 0.0470987 | + | 0.0815773i | ||||
\(641\) | −14.0090 | + | 24.2644i | −0.553324 | + | 0.958385i | 0.444708 | + | 0.895676i | \(0.353307\pi\) |
−0.998032 | + | 0.0627092i | \(0.980026\pi\) | |||||||
\(642\) | −1.25905 | + | 0.977399i | −0.0496906 | + | 0.0385749i | ||||
\(643\) | 19.7840 | − | 5.30111i | 0.780206 | − | 0.209056i | 0.153330 | − | 0.988175i | \(-0.451000\pi\) |
0.626875 | + | 0.779119i | \(0.284333\pi\) | |||||||
\(644\) | −7.68390 | + | 2.05889i | −0.302788 | + | 0.0811318i | ||||
\(645\) | 14.7422 | − | 11.4444i | 0.580474 | − | 0.450623i | ||||
\(646\) | 0.493631 | − | 0.854994i | 0.0194217 | − | 0.0336393i | ||||
\(647\) | 8.36063 | + | 14.4810i | 0.328690 | + | 0.569308i | 0.982252 | − | 0.187565i | \(-0.0600594\pi\) |
−0.653562 | + | 0.756873i | \(0.726726\pi\) | |||||||
\(648\) | 6.21919 | − | 6.50552i | 0.244313 | − | 0.255561i | ||||
\(649\) | − | 59.3507i | − | 2.32972i | ||||||
\(650\) | 0.00390928 | + | 2.44749i | 0.000153335 | + | 0.0959985i | ||||
\(651\) | −0.592154 | + | 4.70207i | −0.0232083 | + | 0.184289i | ||||
\(652\) | 5.24444 | − | 19.5725i | 0.205388 | − | 0.766519i | ||||
\(653\) | −40.3965 | + | 23.3229i | −1.58084 | + | 0.912696i | −0.586098 | + | 0.810240i | \(0.699337\pi\) |
−0.994738 | + | 0.102456i | \(0.967330\pi\) | |||||||
\(654\) | −20.9403 | − | 15.8817i | −0.818830 | − | 0.621025i | ||||
\(655\) | 15.6052 | + | 15.6052i | 0.609745 | + | 0.609745i | ||||
\(656\) | 1.91681 | + | 7.15363i | 0.0748388 | + | 0.279302i | ||||
\(657\) | −0.496209 | − | 44.1093i | −0.0193590 | − | 1.72087i | ||||
\(658\) | −1.31948 | + | 1.31948i | −0.0514388 | + | 0.0514388i | ||||
\(659\) | 3.91850 | + | 2.26235i | 0.152643 | + | 0.0881285i | 0.574376 | − | 0.818592i | \(-0.305245\pi\) |
−0.421733 | + | 0.906720i | \(0.638578\pi\) | |||||||
\(660\) | 8.64140 | + | 20.5347i | 0.336366 | + | 0.799313i | ||||
\(661\) | −5.63401 | − | 1.50963i | −0.219138 | − | 0.0587178i | 0.147580 | − | 0.989050i | \(-0.452852\pi\) |
−0.366717 | + | 0.930332i | \(0.619518\pi\) | |||||||
\(662\) | 18.8694 | 0.733378 | ||||||||
\(663\) | 0.270271 | + | 1.94430i | 0.0104965 | + | 0.0755105i | ||||
\(664\) | −10.9116 | −0.423452 | ||||||||
\(665\) | −7.22965 | − | 1.93718i | −0.280354 | − | 0.0751205i | ||||
\(666\) | 15.7482 | − | 4.41016i | 0.610229 | − | 0.170890i | ||||
\(667\) | 71.5909 | + | 41.3330i | 2.77201 | + | 1.60042i | ||||
\(668\) | −11.8756 | + | 11.8756i | −0.459483 | + | 0.459483i | ||||
\(669\) | −2.73100 | − | 19.8793i | −0.105586 | − | 0.768579i | ||||
\(670\) | −0.860057 | − | 3.20978i | −0.0332269 | − | 0.124005i | ||||
\(671\) | −7.63539 | − | 7.63539i | −0.294761 | − | 0.294761i | ||||
\(672\) | 1.04666 | − | 1.38004i | 0.0403758 | − | 0.0532361i | ||||
\(673\) | −17.4292 | + | 10.0628i | −0.671847 | + | 0.387891i | −0.796776 | − | 0.604275i | \(-0.793463\pi\) |
0.124929 | + | 0.992166i | \(0.460130\pi\) | |||||||
\(674\) | −1.83562 | + | 6.85063i | −0.0707055 | + | 0.263877i | ||||
\(675\) | −3.28103 | − | 1.29463i | −0.126287 | − | 0.0498304i | ||||
\(676\) | 12.9999 | − | 0.0415286i | 0.499997 | − | 0.00159725i | ||||
\(677\) | − | 15.6707i | − | 0.602275i | −0.953581 | − | 0.301138i | \(-0.902634\pi\) | ||
0.953581 | − | 0.301138i | \(-0.0973663\pi\) | |||||||
\(678\) | −5.56110 | − | 2.26692i | −0.213573 | − | 0.0870607i | ||||
\(679\) | −5.47764 | − | 9.48755i | −0.210212 | − | 0.364099i | ||||
\(680\) | 0.374530 | − | 0.648705i | 0.0143626 | − | 0.0248767i | ||||
\(681\) | −3.72914 | − | 4.80372i | −0.142901 | − | 0.184079i | ||||
\(682\) | 14.2657 | − | 3.82249i | 0.546262 | − | 0.146371i | ||||
\(683\) | −10.0052 | + | 2.68088i | −0.382838 | + | 0.102581i | −0.445105 | − | 0.895478i | \(-0.646834\pi\) |
0.0622669 | + | 0.998060i | \(0.480167\pi\) | |||||||
\(684\) | 8.10661 | − | 4.80274i | 0.309964 | − | 0.183637i | ||||
\(685\) | 5.09363 | − | 8.82243i | 0.194618 | − | 0.337088i | ||||
\(686\) | 0.500000 | + | 0.866025i | 0.0190901 | + | 0.0330650i | ||||
\(687\) | 15.1484 | − | 37.1614i | 0.577949 | − | 1.41780i | ||||
\(688\) | 4.52160i | 0.172384i | ||||||||
\(689\) | −12.6180 | − | 46.7921i | −0.480709 | − | 1.78264i | ||||
\(690\) | −32.5769 | − | 4.10257i | −1.24018 | − | 0.156182i | ||||
\(691\) | −6.97535 | + | 26.0324i | −0.265355 | + | 0.990318i | 0.696678 | + | 0.717384i | \(0.254661\pi\) |
−0.962033 | + | 0.272934i | \(0.912006\pi\) | |||||||
\(692\) | 9.05569 | − | 5.22831i | 0.344246 | − | 0.198750i | ||||
\(693\) | 11.3206 | − | 11.5782i | 0.430034 | − | 0.439820i | ||||
\(694\) | 1.00999 | + | 1.00999i | 0.0383387 | + | 0.0383387i | ||||
\(695\) | −4.12978 | − | 15.4126i | −0.156652 | − | 0.584632i | ||||
\(696\) | −17.8316 | + | 2.44968i | −0.675905 | + | 0.0928550i | ||||
\(697\) | 1.64610 | − | 1.64610i | 0.0623504 | − | 0.0623504i | ||||
\(698\) | −1.65948 | − | 0.958100i | −0.0628121 | − | 0.0362646i | ||||
\(699\) | 28.1135 | − | 11.8307i | 1.06335 | − | 0.447478i | ||||
\(700\) | −0.655683 | − | 0.175690i | −0.0247825 | − | 0.00664045i | ||||
\(701\) | −23.7687 | −0.897732 | −0.448866 | − | 0.893599i | \(-0.648172\pi\) | ||||
−0.448866 | + | 0.893599i | \(0.648172\pi\) | |||||||
\(702\) | −6.84866 | + | 17.4383i | −0.258486 | + | 0.658168i | ||||
\(703\) | 17.1217 | 0.645759 | ||||||||
\(704\) | −5.21372 | − | 1.39701i | −0.196500 | − | 0.0526519i | ||||
\(705\) | −7.09911 | + | 2.98744i | −0.267368 | + | 0.112513i | ||||
\(706\) | 9.76714 | + | 5.63906i | 0.367591 | + | 0.212229i | ||||
\(707\) | 2.81731 | − | 2.81731i | 0.105956 | − | 0.105956i | ||||
\(708\) | −18.8678 | + | 2.59204i | −0.709097 | + | 0.0974149i | ||||
\(709\) | 4.49421 | + | 16.7726i | 0.168783 | + | 0.629908i | 0.997527 | + | 0.0702802i | \(0.0223893\pi\) |
−0.828744 | + | 0.559628i | \(0.810944\pi\) | |||||||
\(710\) | −25.9554 | − | 25.9554i | −0.974090 | − | 0.974090i | ||||
\(711\) | −1.91331 | + | 1.95685i | −0.0717548 | + | 0.0733875i | ||||
\(712\) | 1.48825 | − | 0.859240i | 0.0557745 | − | 0.0322014i | ||||
\(713\) | −5.63351 | + | 21.0246i | −0.210977 | + | 0.787376i | ||||
\(714\) | −0.540171 | − | 0.0680263i | −0.0202154 | − | 0.00254582i | ||||
\(715\) | −32.8460 | − | 32.7412i | −1.22837 | − | 1.22445i | ||||
\(716\) | − | 14.1311i | − | 0.528106i | ||||||
\(717\) | −4.20550 | + | 10.3167i | −0.157057 | + | 0.385285i | ||||
\(718\) | −5.25108 | − | 9.09513i | −0.195968 | − | 0.339427i | ||||
\(719\) | −12.1046 | + | 20.9657i | −0.451424 | + | 0.781889i | −0.998475 | − | 0.0552105i | \(-0.982417\pi\) |
0.547051 | + | 0.837099i | \(0.315750\pi\) | |||||||
\(720\) | 6.15068 | − | 3.64396i | 0.229222 | − | 0.135802i | ||||
\(721\) | 10.4649 | − | 2.80407i | 0.389735 | − | 0.104429i | ||||
\(722\) | −8.82391 | + | 2.36436i | −0.328392 | + | 0.0879923i | ||||
\(723\) | −8.31732 | − | 10.7140i | −0.309324 | − | 0.398459i | ||||
\(724\) | −2.96556 | + | 5.13650i | −0.110214 | + | 0.190897i | ||||
\(725\) | 3.52703 | + | 6.10900i | 0.130991 | + | 0.226883i | ||||
\(726\) | −29.0862 | − | 11.8567i | −1.07949 | − | 0.440042i | ||||
\(727\) | 16.2953i | 0.604359i | 0.953251 | + | 0.302180i | \(0.0977143\pi\) | ||||
−0.953251 | + | 0.302180i | \(0.902286\pi\) | |||||||
\(728\) | −0.927621 | + | 3.48418i | −0.0343799 | + | 0.129132i | ||||
\(729\) | −19.7252 | − | 18.4368i | −0.730563 | − | 0.682846i | ||||
\(730\) | 9.06904 | − | 33.8461i | 0.335660 | − | 1.25270i | ||||
\(731\) | 1.23087 | − | 0.710641i | 0.0455252 | − | 0.0262840i | ||||
\(732\) | −2.09386 | + | 2.76079i | −0.0773913 | + | 0.102042i | ||||
\(733\) | −13.4669 | − | 13.4669i | −0.497412 | − | 0.497412i | 0.413220 | − | 0.910631i | \(-0.364404\pi\) |
−0.910631 | + | 0.413220i | \(0.864404\pi\) | |||||||
\(734\) | 1.05189 | + | 3.92570i | 0.0388259 | + | 0.144900i | ||||
\(735\) | 0.561758 | + | 4.08912i | 0.0207208 | + | 0.150829i | ||||
\(736\) | 5.62500 | − | 5.62500i | 0.207340 | − | 0.207340i | ||||
\(737\) | 6.51834 | + | 3.76337i | 0.240106 | + | 0.138625i | ||||
\(738\) | 21.3948 | − | 5.99147i | 0.787555 | − | 0.220549i | ||||
\(739\) | 17.4861 | + | 4.68539i | 0.643237 | + | 0.172355i | 0.565669 | − | 0.824632i | \(-0.308618\pi\) |
0.0775678 | + | 0.996987i | \(0.475285\pi\) | |||||||
\(740\) | 12.9907 | 0.477547 | ||||||||
\(741\) | −11.8279 | + | 15.6470i | −0.434507 | + | 0.574808i | ||||
\(742\) | 13.4414 | 0.493448 | ||||||||
\(743\) | −18.3442 | − | 4.91530i | −0.672982 | − | 0.180325i | −0.0938844 | − | 0.995583i | \(-0.529928\pi\) |
−0.579098 | + | 0.815258i | \(0.696595\pi\) | |||||||
\(744\) | −1.83822 | − | 4.36819i | −0.0673923 | − | 0.160146i | ||||
\(745\) | −14.0949 | − | 8.13770i | −0.516397 | − | 0.298142i | ||||
\(746\) | −12.0376 | + | 12.0376i | −0.440726 | + | 0.440726i | ||||
\(747\) | 0.368228 | + | 32.7327i | 0.0134728 | + | 1.19763i | ||||
\(748\) | 0.439125 | + | 1.63884i | 0.0160560 | + | 0.0599218i | ||||
\(749\) | 0.650705 | + | 0.650705i | 0.0237763 | + | 0.0237763i | ||||
\(750\) | 14.2109 | + | 10.7780i | 0.518910 | + | 0.393556i | ||||
\(751\) | 44.4408 | − | 25.6579i | 1.62167 | − | 0.936270i | 0.635192 | − | 0.772354i | \(-0.280921\pi\) |
0.986474 | − | 0.163915i | \(-0.0524123\pi\) | |||||||
\(752\) | 0.482964 | − | 1.80245i | 0.0176119 | − | 0.0657285i | ||||
\(753\) | 0.499029 | − | 3.96260i | 0.0181856 | − | 0.144405i | ||||
\(754\) | 32.4183 | − | 18.7858i | 1.18061 | − | 0.684140i | ||||
\(755\) | − | 6.29748i | − | 0.229189i | ||||||
\(756\) | −4.17517 | − | 3.09321i | −0.151849 | − | 0.112499i | ||||
\(757\) | 2.39348 | + | 4.14563i | 0.0869925 | + | 0.150675i | 0.906239 | − | 0.422767i | \(-0.138941\pi\) |
−0.819246 | + | 0.573442i | \(0.805608\pi\) | |||||||
\(758\) | −1.58645 | + | 2.74781i | −0.0576224 | + | 0.0998049i | ||||
\(759\) | 58.7467 | − | 45.6052i | 2.13237 | − | 1.65536i | ||||
\(760\) | 7.22965 | − | 1.93718i | 0.262247 | − | 0.0702688i | ||||
\(761\) | −34.2877 | + | 9.18737i | −1.24293 | + | 0.333042i | −0.819601 | − | 0.572935i | \(-0.805805\pi\) |
−0.423328 | + | 0.905976i | \(0.639138\pi\) | |||||||
\(762\) | −9.77911 | + | 7.59154i | −0.354260 | + | 0.275013i | ||||
\(763\) | −7.58686 | + | 13.1408i | −0.274663 | + | 0.475730i | ||||
\(764\) | −4.01102 | − | 6.94728i | −0.145113 | − | 0.251344i | ||||
\(765\) | −1.95863 | − | 1.10163i | −0.0708145 | − | 0.0398294i | ||||
\(766\) | − | 35.5598i | − | 1.28483i | ||||||
\(767\) | 34.3023 | − | 19.8775i | 1.23858 | − | 0.717736i | ||||
\(768\) | −0.216416 | + | 1.71848i | −0.00780923 | + | 0.0620102i | ||||
\(769\) | −0.535980 | + | 2.00030i | −0.0193279 | + | 0.0721328i | −0.974916 | − | 0.222572i | \(-0.928555\pi\) |
0.955588 | + | 0.294705i | \(0.0952214\pi\) | |||||||
\(770\) | 11.1394 | − | 6.43136i | 0.401438 | − | 0.231770i | ||||
\(771\) | 6.91943 | + | 5.24790i | 0.249197 | + | 0.188998i | ||||
\(772\) | −8.11988 | − | 8.11988i | −0.292241 | − | 0.292241i | ||||
\(773\) | 8.53659 | + | 31.8590i | 0.307040 | + | 1.14589i | 0.931175 | + | 0.364572i | \(0.118785\pi\) |
−0.624135 | + | 0.781316i | \(0.714549\pi\) | |||||||
\(774\) | 13.5639 | − | 0.152588i | 0.487546 | − | 0.00548467i | ||||
\(775\) | −1.31335 | + | 1.31335i | −0.0471770 | + | 0.0471770i | ||||
\(776\) | 9.48755 | + | 5.47764i | 0.340583 | + | 0.196636i | ||||
\(777\) | −3.66230 | − | 8.70281i | −0.131384 | − | 0.312212i | ||||
\(778\) | −19.2200 | − | 5.14997i | −0.689069 | − | 0.184636i | ||||
\(779\) | 23.2609 | 0.833409 | ||||||||
\(780\) | −8.97408 | + | 11.8718i | −0.321324 | + | 0.425079i | ||||
\(781\) | 83.1416 | 2.97504 | ||||||||
\(782\) | −2.41529 | − | 0.647175i | −0.0863706 | − | 0.0231429i | ||||
\(783\) | 7.95034 | + | 53.4087i | 0.284122 | + | 1.90867i | ||||
\(784\) | −0.866025 | − | 0.500000i | −0.0309295 | − | 0.0178571i | ||||
\(785\) | 18.9901 | − | 18.9901i | 0.677786 | − | 0.677786i | ||||
\(786\) | 2.18311 | + | 15.8912i | 0.0778690 | + | 0.566819i | ||||
\(787\) | 8.91489 | + | 33.2708i | 0.317782 | + | 1.18598i | 0.921372 | + | 0.388682i | \(0.127070\pi\) |
−0.603590 | + | 0.797295i | \(0.706264\pi\) | |||||||
\(788\) | 3.69889 | + | 3.69889i | 0.131767 | + | 0.131767i | ||||
\(789\) | 10.7877 | − | 14.2238i | 0.384054 | − | 0.506381i | ||||
\(790\) | −1.88269 | + | 1.08697i | −0.0669832 | + | 0.0386728i | ||||
\(791\) | −0.897382 | + | 3.34908i | −0.0319072 | + | 0.119079i | ||||
\(792\) | −4.01483 | + | 15.6873i | −0.142661 | + | 0.557425i | ||||
\(793\) | 1.85572 | − | 6.97016i | 0.0658986 | − | 0.247518i | ||||
\(794\) | 34.5332i | 1.22554i | ||||||||
\(795\) | 51.3750 | + | 20.9425i | 1.82208 | + | 0.742753i | ||||
\(796\) | −5.43414 | − | 9.41221i | −0.192608 | − | 0.333607i | ||||
\(797\) | 4.46685 | − | 7.73681i | 0.158224 | − | 0.274052i | −0.776004 | − | 0.630728i | \(-0.782757\pi\) |
0.934228 | + | 0.356676i | \(0.116090\pi\) | |||||||
\(798\) | −3.33593 | − | 4.29721i | −0.118091 | − | 0.152120i | ||||
\(799\) | −0.566566 | + | 0.151811i | −0.0200437 | + | 0.00537068i | ||||
\(800\) | 0.655683 | − | 0.175690i | 0.0231819 | − | 0.00621157i | ||||
\(801\) | −2.62778 | − | 4.43547i | −0.0928481 | − | 0.156719i | ||||
\(802\) | −0.185949 | + | 0.322073i | −0.00656609 | + | 0.0113728i | ||||
\(803\) | 39.6835 | + | 68.7339i | 1.40040 | + | 2.42557i | ||||
\(804\) | 0.911713 | − | 2.23657i | 0.0321536 | − | 0.0788777i | ||||
\(805\) | 18.9569i | 0.668142i | ||||||||
\(806\) | 6.98706 | + | 6.96478i | 0.246109 | + | 0.245324i | ||||
\(807\) | −45.2953 | − | 5.70425i | −1.59447 | − | 0.200799i | ||||
\(808\) | −1.03121 | + | 3.84851i | −0.0362777 | + | 0.135390i | ||||
\(809\) | −13.0875 | + | 7.55610i | −0.460134 | + | 0.265658i | −0.712100 | − | 0.702078i | \(-0.752256\pi\) |
0.251967 | + | 0.967736i | \(0.418923\pi\) | |||||||
\(810\) | −11.1387 | − | 18.3279i | −0.391376 | − | 0.643977i | ||||
\(811\) | −21.0190 | − | 21.0190i | −0.738076 | − | 0.738076i | 0.234129 | − | 0.972205i | \(-0.424776\pi\) |
−0.972205 | + | 0.234129i | \(0.924776\pi\) | |||||||
\(812\) | 2.68959 | + | 10.0377i | 0.0943860 | + | 0.352253i | ||||
\(813\) | 43.7403 | − | 6.00899i | 1.53404 | − | 0.210745i | ||||
\(814\) | −20.8062 | + | 20.8062i | −0.729257 | + | 0.729257i | ||||
\(815\) | −41.8179 | − | 24.1436i | −1.46482 | − | 0.845713i | ||||
\(816\) | 0.501815 | − | 0.211173i | 0.0175671 | − | 0.00739254i | ||||
\(817\) | 13.7177 | + | 3.67564i | 0.479921 | + | 0.128594i | ||||
\(818\) | 7.32235 | 0.256020 | ||||||||
\(819\) | 10.4832 | + | 2.66511i | 0.366312 | + | 0.0931265i | ||||
\(820\) | 17.6486 | 0.616317 | ||||||||
\(821\) | 18.3654 | + | 4.92099i | 0.640956 | + | 0.171744i | 0.564636 | − | 0.825340i | \(-0.309016\pi\) |
0.0763195 | + | 0.997083i | \(0.475683\pi\) | |||||||
\(822\) | 6.82472 | − | 2.87197i | 0.238040 | − | 0.100171i | ||||
\(823\) | 23.3797 | + | 13.4983i | 0.814966 | + | 0.470521i | 0.848677 | − | 0.528911i | \(-0.177399\pi\) |
−0.0337117 | + | 0.999432i | \(0.510733\pi\) | |||||||
\(824\) | −7.66086 | + | 7.66086i | −0.266879 | + | 0.266879i | ||||
\(825\) | 6.28717 | − | 0.863724i | 0.218891 | − | 0.0300710i | ||||
\(826\) | 2.84589 | + | 10.6210i | 0.0990211 | + | 0.369552i | ||||
\(827\) | 23.7729 | + | 23.7729i | 0.826664 | + | 0.826664i | 0.987054 | − | 0.160390i | \(-0.0512751\pi\) |
−0.160390 | + | 0.987054i | \(0.551275\pi\) | |||||||
\(828\) | −17.0638 | − | 16.6841i | −0.593007 | − | 0.579813i | ||||
\(829\) | −32.2116 | + | 18.5974i | −1.11876 | + | 0.645914i | −0.941083 | − | 0.338176i | \(-0.890190\pi\) |
−0.177673 | + | 0.984090i | \(0.556857\pi\) | |||||||
\(830\) | −6.72997 | + | 25.1166i | −0.233601 | + | 0.871810i | ||||
\(831\) | 23.0022 | + | 2.89677i | 0.797938 | + | 0.100488i | ||||
\(832\) | −0.938747 | − | 3.48120i | −0.0325452 | − | 0.120689i | ||||
\(833\) | 0.314331i | 0.0108909i | ||||||||
\(834\) | 4.37782 | − | 10.7394i | 0.151592 | − | 0.371877i | ||||
\(835\) | 20.0111 | + | 34.6603i | 0.692513 | + | 1.19947i | ||||
\(836\) | −8.47654 | + | 14.6818i | −0.293167 | + | 0.507781i | ||||
\(837\) | −13.0417 | + | 5.66171i | −0.450787 | + | 0.195697i | ||||
\(838\) | 6.75431 | − | 1.80981i | 0.233324 | − | 0.0625189i | ||||
\(839\) | 33.8229 | − | 9.06283i | 1.16770 | − | 0.312884i | 0.377661 | − | 0.925944i | \(-0.376728\pi\) |
0.790036 | + | 0.613060i | \(0.210062\pi\) | |||||||
\(840\) | −2.53105 | − | 3.26040i | −0.0873297 | − | 0.112494i | ||||
\(841\) | 39.4944 | − | 68.4064i | 1.36188 | − | 2.35884i | ||||
\(842\) | −12.4668 | − | 21.5931i | −0.429634 | − | 0.744147i | ||||
\(843\) | 41.3854 | + | 16.8703i | 1.42539 | + | 0.581045i | ||||
\(844\) | 15.3797i | 0.529391i | ||||||||
\(845\) | 7.92241 | − | 29.9492i | 0.272539 | − | 1.03028i | ||||
\(846\) | −5.42330 | − | 1.38798i | −0.186457 | − | 0.0477196i | ||||
\(847\) | −4.69357 | + | 17.5166i | −0.161273 | + | 0.601879i | ||||
\(848\) | −11.6406 | + | 6.72068i | −0.399739 | + | 0.230789i | ||||
\(849\) | 15.1854 | − | 20.0221i | 0.521161 | − | 0.687158i | ||||
\(850\) | −0.150877 | − | 0.150877i | −0.00517504 | − | 0.00517504i | ||||
\(851\) | −11.2237 | − | 41.8876i | −0.384745 | − | 1.43589i | ||||
\(852\) | −3.63107 | − | 26.4311i | −0.124398 | − | 0.905514i | ||||
\(853\) | 33.0168 | − | 33.0168i | 1.13047 | − | 1.13047i | 0.140376 | − | 0.990098i | \(-0.455169\pi\) |
0.990098 | − | 0.140376i | \(-0.0448312\pi\) | |||||||
\(854\) | 1.73250 | + | 1.00026i | 0.0592849 | + | 0.0342281i | ||||
\(855\) | −6.05514 | − | 21.6222i | −0.207081 | − | 0.739464i | ||||
\(856\) | −0.888880 | − | 0.238175i | −0.0303813 | − | 0.00814064i | ||||
\(857\) | −6.18194 | −0.211171 | −0.105586 | − | 0.994410i | \(-0.533672\pi\) | ||||
−0.105586 | + | 0.994410i | \(0.533672\pi\) | |||||||
\(858\) | −4.64105 | − | 33.3872i | −0.158443 | − | 1.13982i | ||||
\(859\) | −37.6870 | −1.28587 | −0.642933 | − | 0.765923i | \(-0.722282\pi\) | ||||
−0.642933 | + | 0.765923i | \(0.722282\pi\) | |||||||
\(860\) | 10.4079 | + | 2.78880i | 0.354908 | + | 0.0950973i | ||||
\(861\) | −4.97546 | − | 11.8233i | −0.169563 | − | 0.402937i | ||||
\(862\) | −8.20176 | − | 4.73529i | −0.279353 | − | 0.161285i | ||||
\(863\) | −10.1579 | + | 10.1579i | −0.345778 | + | 0.345778i | −0.858534 | − | 0.512756i | \(-0.828624\pi\) |
0.512756 | + | 0.858534i | \(0.328624\pi\) | |||||||
\(864\) | 5.16241 | + | 0.591214i | 0.175629 | + | 0.0201135i | ||||
\(865\) | −6.44935 | − | 24.0693i | −0.219285 | − | 0.818381i | ||||
\(866\) | −12.4886 | − | 12.4886i | −0.424379 | − | 0.424379i | ||||
\(867\) | 23.3243 | + | 17.6898i | 0.792134 | + | 0.600777i | ||||
\(868\) | −2.36961 | + | 1.36809i | −0.0804297 | + | 0.0464361i | ||||
\(869\) | 1.27444 | − | 4.75629i | 0.0432325 | − | 0.161346i | ||||
\(870\) | −5.35929 | + | 42.5561i | −0.181697 | + | 1.44279i | ||||
\(871\) | 0.00803062 | + | 5.02775i | 0.000272107 | + | 0.170359i | ||||
\(872\) | − | 15.1737i | − | 0.513847i | ||||||
\(873\) | 16.1117 | − | 28.6457i | 0.545298 | − | 0.969510i | ||||
\(874\) | −12.4926 | − | 21.6378i | −0.422568 | − | 0.731909i | ||||
\(875\) | 5.14875 | − | 8.91790i | 0.174060 | − | 0.301480i | ||||
\(876\) | 20.1177 | − | 15.6174i | 0.679714 | − | 0.527663i | ||||
\(877\) | −8.10852 | + | 2.17267i | −0.273805 | + | 0.0733659i | −0.393109 | − | 0.919492i | \(-0.628600\pi\) |
0.119304 | + | 0.992858i | \(0.461934\pi\) | |||||||
\(878\) | 19.1219 | − | 5.12369i | 0.645332 | − | 0.172916i | ||||
\(879\) | 19.3827 | − | 15.0469i | 0.653764 | − | 0.507518i | ||||
\(880\) | −6.43136 | + | 11.1394i | −0.216801 | + | 0.375511i | ||||
\(881\) | −24.6336 | − | 42.6666i | −0.829925 | − | 1.43747i | −0.898096 | − | 0.439799i | \(-0.855050\pi\) |
0.0681706 | − | 0.997674i | \(-0.478284\pi\) | |||||||
\(882\) | −1.47068 | + | 2.61479i | −0.0495204 | + | 0.0880444i | ||||
\(883\) | 19.2589i | 0.648115i | 0.946037 | + | 0.324058i | \(0.105047\pi\) | ||||
−0.946037 | + | 0.324058i | \(0.894953\pi\) | |||||||
\(884\) | −0.800110 | + | 0.802670i | −0.0269106 | + | 0.0269967i | ||||
\(885\) | −5.67074 | + | 45.0292i | −0.190620 | + | 1.51364i | ||||
\(886\) | −5.41393 | + | 20.2051i | −0.181885 | + | 0.678802i | ||||
\(887\) | −21.1568 | + | 12.2149i | −0.710377 | + | 0.410136i | −0.811200 | − | 0.584768i | \(-0.801185\pi\) |
0.100824 | + | 0.994904i | \(0.467852\pi\) | |||||||
\(888\) | 7.52305 | + | 5.70570i | 0.252457 | + | 0.191471i | ||||
\(889\) | 5.05408 | + | 5.05408i | 0.169508 | + | 0.169508i | ||||
\(890\) | −1.05991 | − | 3.95564i | −0.0355283 | − | 0.132594i | ||||
\(891\) | 47.1945 | + | 11.5143i | 1.58107 | + | 0.385745i | ||||
\(892\) | 8.19192 | − | 8.19192i | 0.274286 | − | 0.274286i | ||||
\(893\) | −5.07568 | − | 2.93044i | −0.169851 | − | 0.0980636i | ||||
\(894\) | −4.58832 | − | 10.9033i | −0.153456 | − | 0.364662i | ||||
\(895\) | −32.5274 | − | 8.71570i | −1.08727 | − | 0.291334i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 46.0332 | + | 18.6793i | 1.53700 | + | 0.623682i | ||||
\(898\) | −6.64629 | −0.221790 | ||||||||
\(899\) | 27.4649 | + | 7.35921i | 0.916007 | + | 0.245443i | ||||
\(900\) | −0.549163 | − | 1.96100i | −0.0183054 | − | 0.0653665i | ||||
\(901\) | 3.65900 | + | 2.11252i | 0.121899 | + | 0.0703783i | ||||
\(902\) | −28.2665 | + | 28.2665i | −0.941171 | + | 0.941171i | ||||
\(903\) | −1.06589 | − | 7.75877i | −0.0354706 | − | 0.258196i | ||||
\(904\) | −0.897382 | − | 3.34908i | −0.0298465 | − | 0.111389i | ||||
\(905\) | 9.99426 | + | 9.99426i | 0.332220 | + | 0.332220i | ||||
\(906\) | 2.76595 | − | 3.64694i | 0.0918924 | − | 0.121161i | ||||
\(907\) | −25.9337 | + | 14.9728i | −0.861115 | + | 0.497165i | −0.864386 | − | 0.502830i | \(-0.832292\pi\) |
0.00327049 | + | 0.999995i | \(0.498959\pi\) | |||||||
\(908\) | 0.908723 | − | 3.39140i | 0.0301570 | − | 0.112548i | ||||
\(909\) | 11.5796 | + | 2.96355i | 0.384071 | + | 0.0982947i | ||||
\(910\) | 7.44785 | + | 4.28417i | 0.246894 | + | 0.142019i | ||||
\(911\) | 16.2065i | 0.536944i | 0.963288 | + | 0.268472i | \(0.0865186\pi\) | ||||
−0.963288 | + | 0.268472i | \(0.913481\pi\) | |||||||
\(912\) | 5.03761 | + | 2.05353i | 0.166812 | + | 0.0679991i | ||||
\(913\) | −29.4485 | − | 51.0062i | −0.974602 | − | 1.68806i | ||||
\(914\) | −7.24947 | + | 12.5565i | −0.239791 | + | 0.415331i | ||||
\(915\) | 5.06342 | + | 6.52248i | 0.167391 | + | 0.215627i | ||||
\(916\) | 22.3798 | − | 5.99665i | 0.739449 | − | 0.198135i | ||||
\(917\) | 8.94539 | − | 2.39691i | 0.295403 | − | 0.0791529i | ||||
\(918\) | −0.650414 | − | 1.49822i | −0.0214669 | − | 0.0494488i | ||||
\(919\) | 15.2431 | − | 26.4019i | 0.502825 | − | 0.870918i | −0.497170 | − | 0.867653i | \(-0.665627\pi\) |
0.999995 | − | 0.00326484i | \(-0.00103923\pi\) | |||||||
\(920\) | −9.47843 | − | 16.4171i | −0.312495 | − | 0.541257i | ||||
\(921\) | −9.58088 | + | 23.5033i | −0.315701 | + | 0.774461i | ||||
\(922\) | 10.2019i | 0.335982i | ||||||||
\(923\) | 27.8455 | + | 48.0524i | 0.916547 | + | 1.58167i | ||||
\(924\) | 9.27573 | + | 1.16814i | 0.305149 | + | 0.0384288i | ||||
\(925\) | 0.957745 | − | 3.57435i | 0.0314905 | − | 0.117524i | ||||
\(926\) | 3.17785 | − | 1.83473i | 0.104431 | − | 0.0602931i | ||||
\(927\) | 23.2397 | + | 22.7226i | 0.763291 | + | 0.746308i | ||||
\(928\) | −7.34809 | − | 7.34809i | −0.241213 | − | 0.241213i | ||||
\(929\) | −10.7916 | − | 40.2748i | −0.354061 | − | 1.32137i | −0.881662 | − | 0.471881i | \(-0.843575\pi\) |
0.527601 | − | 0.849492i | \(-0.323091\pi\) | |||||||
\(930\) | −11.1886 | + | 1.53707i | −0.366888 | + | 0.0504026i | ||||
\(931\) | −2.22090 | + | 2.22090i | −0.0727872 | + | 0.0727872i | ||||
\(932\) | 15.2507 | + | 8.80500i | 0.499554 | + | 0.288417i | ||||
\(933\) | −10.1334 | + | 4.26433i | −0.331753 | + | 0.139608i | ||||
\(934\) | −2.27088 | − | 0.608481i | −0.0743055 | − | 0.0199101i | ||||
\(935\) | 4.04316 | 0.132225 | ||||||||
\(936\) | −10.4113 | + | 2.93354i | −0.340303 | + | 0.0958858i | ||||
\(937\) | 19.7513 | 0.645247 | 0.322624 | − | 0.946527i | \(-0.395435\pi\) | ||||
0.322624 | + | 0.946527i | \(0.395435\pi\) | |||||||
\(938\) | −1.34693 | − | 0.360910i | −0.0439789 | − | 0.0117841i | ||||
\(939\) | −30.8041 | + | 12.9629i | −1.00525 | + | 0.423029i | ||||
\(940\) | −3.85104 | − | 2.22340i | −0.125607 | − | 0.0725193i | ||||
\(941\) | 36.2352 | − | 36.2352i | 1.18123 | − | 1.18123i | 0.201809 | − | 0.979425i | \(-0.435318\pi\) |
0.979425 | − | 0.201809i | \(-0.0646822\pi\) | |||||||
\(942\) | 19.3381 | − | 2.65665i | 0.630070 | − | 0.0865583i | ||||
\(943\) | −15.2481 | − | 56.9068i | −0.496547 | − | 1.85314i | ||||
\(944\) | −7.77511 | − | 7.77511i | −0.253058 | − | 0.253058i | ||||
\(945\) | −9.69516 | + | 7.70271i | −0.315384 | + | 0.250569i | ||||
\(946\) | −21.1362 | + | 12.2030i | −0.687197 | + | 0.396754i | ||||
\(947\) | −4.36413 | + | 16.2871i | −0.141815 | + | 0.529261i | 0.858061 | + | 0.513547i | \(0.171669\pi\) |
−0.999877 | + | 0.0157140i | \(0.994998\pi\) | |||||||
\(948\) | −1.56770 | − | 0.197428i | −0.0509166 | − | 0.00641217i | ||||
\(949\) | −26.4347 | + | 45.9556i | −0.858106 | + | 1.49178i | ||||
\(950\) | − | 2.13204i | − | 0.0691724i | ||||||
\(951\) | 17.8275 | − | 43.7335i | 0.578097 | − | 1.41816i | ||||
\(952\) | −0.157166 | − | 0.272219i | −0.00509377 | − | 0.00882267i | ||||
\(953\) | −9.36666 | + | 16.2235i | −0.303416 | + | 0.525531i | −0.976907 | − | 0.213663i | \(-0.931460\pi\) |
0.673492 | + | 0.739195i | \(0.264794\pi\) | |||||||
\(954\) | 20.5536 | + | 34.6927i | 0.665448 | + | 1.12322i | ||||
\(955\) | −18.4653 | + | 4.94777i | −0.597524 | + | 0.160106i | ||||
\(956\) | −6.21306 | + | 1.66478i | −0.200945 | + | 0.0538430i | ||||
\(957\) | −59.5753 | − | 76.7424i | −1.92580 | − | 2.48073i | ||||
\(958\) | 12.2548 | − | 21.2259i | 0.395933 | − | 0.685776i | ||||
\(959\) | −2.13746 | − | 3.70220i | −0.0690223 | − | 0.119550i | ||||
\(960\) | 3.82216 | + | 1.55806i | 0.123360 | + | 0.0502862i | ||||
\(961\) | − | 23.5133i | − | 0.758493i | ||||||
\(962\) | −18.9935 | − | 5.05678i | −0.612374 | − | 0.163037i | ||||
\(963\) | −0.684482 | + | 2.67451i | −0.0220571 | + | 0.0861848i | ||||
\(964\) | 2.02678 | − | 7.56405i | 0.0652782 | − | 0.243622i | ||||
\(965\) | −23.6987 | + | 13.6824i | −0.762887 | + | 0.440453i | ||||
\(966\) | −8.32613 | + | 10.9781i | −0.267889 | + | 0.353216i | ||||
\(967\) | 20.0618 | + | 20.0618i | 0.645145 | + | 0.645145i | 0.951816 | − | 0.306670i | \(-0.0992149\pi\) |
−0.306670 | + | 0.951816i | \(0.599215\pi\) | |||||||
\(968\) | −4.69357 | − | 17.5166i | −0.150857 | − | 0.563006i | ||||
\(969\) | −0.232730 | − | 1.69408i | −0.00747637 | − | 0.0544216i | ||||
\(970\) | 18.4602 | − | 18.4602i | 0.592722 | − | 0.592722i | ||||
\(971\) | −36.7628 | − | 21.2250i | −1.17977 | − | 0.681143i | −0.223812 | − | 0.974632i | \(-0.571850\pi\) |
−0.955962 | + | 0.293489i | \(0.905184\pi\) | |||||||
\(972\) | 1.59932 | − | 15.5062i | 0.0512981 | − | 0.497362i | ||||
\(973\) | −6.46764 | − | 1.73300i | −0.207343 | − | 0.0555574i | ||||
\(974\) | −29.3657 | −0.940937 | ||||||||
\(975\) | 2.60487 | + | 3.34445i | 0.0834227 | + | 0.107108i | ||||
\(976\) | −2.00052 | −0.0640350 | ||||||||
\(977\) | 44.3962 | + | 11.8959i | 1.42036 | + | 0.380584i | 0.885611 | − | 0.464427i | \(-0.153740\pi\) |
0.534748 | + | 0.845011i | \(0.320406\pi\) | |||||||
\(978\) | −13.6130 | − | 32.3489i | −0.435296 | − | 1.03440i | ||||
\(979\) | 8.03303 | + | 4.63787i | 0.256737 | + | 0.148227i | ||||
\(980\) | −1.68505 | + | 1.68505i | −0.0538271 | + | 0.0538271i | ||||
\(981\) | −45.5183 | + | 0.512060i | −1.45329 | + | 0.0163488i | ||||
\(982\) | −1.05337 | − | 3.93122i | −0.0336143 | − | 0.125450i | ||||
\(983\) | 19.4241 | + | 19.4241i | 0.619534 | + | 0.619534i | 0.945412 | − | 0.325878i | \(-0.105660\pi\) |
−0.325878 | + | 0.945412i | \(0.605660\pi\) | |||||||
\(984\) | 10.2205 | + | 7.75154i | 0.325818 | + | 0.247110i | ||||
\(985\) | 10.7956 | − | 6.23283i | 0.343976 | − | 0.198594i | ||||
\(986\) | −0.845422 | + | 3.15516i | −0.0269237 | + | 0.100481i | ||||
\(987\) | −0.403839 | + | 3.20673i | −0.0128543 | + | 0.102071i | ||||
\(988\) | −11.3244 | + | 0.0180880i | −0.360278 | + | 0.000575457i | ||||
\(989\) | − | 35.9691i | − | 1.14375i | ||||||
\(990\) | 33.6333 | + | 18.9169i | 1.06894 | + | 0.601220i | ||||
\(991\) | 2.01935 | + | 3.49762i | 0.0641468 | + | 0.111105i | 0.896315 | − | 0.443417i | \(-0.146234\pi\) |
−0.832168 | + | 0.554523i | \(0.812901\pi\) | |||||||
\(992\) | 1.36809 | − | 2.36961i | 0.0434370 | − | 0.0752351i | ||||
\(993\) | 25.8166 | − | 20.0415i | 0.819265 | − | 0.635997i | ||||
\(994\) | −14.8785 | + | 3.98667i | −0.471916 | + | 0.126450i | ||||
\(995\) | −25.0169 | + | 6.70326i | −0.793089 | + | 0.212508i | ||||
\(996\) | −14.9290 | + | 11.5894i | −0.473043 | + | 0.367224i | ||||
\(997\) | −1.06748 | + | 1.84893i | −0.0338074 | + | 0.0585561i | −0.882434 | − | 0.470436i | \(-0.844097\pi\) |
0.848627 | + | 0.528992i | \(0.177430\pi\) | |||||||
\(998\) | 2.81954 | + | 4.88358i | 0.0892509 | + | 0.154587i | ||||
\(999\) | 16.8622 | − | 22.7603i | 0.533495 | − | 0.720104i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bu.a.323.14 | yes | 56 | |
3.2 | odd | 2 | 546.2.bu.b.323.2 | yes | 56 | ||
13.6 | odd | 12 | 546.2.bu.b.71.2 | yes | 56 | ||
39.32 | even | 12 | inner | 546.2.bu.a.71.14 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bu.a.71.14 | ✓ | 56 | 39.32 | even | 12 | inner | |
546.2.bu.a.323.14 | yes | 56 | 1.1 | even | 1 | trivial | |
546.2.bu.b.71.2 | yes | 56 | 13.6 | odd | 12 | ||
546.2.bu.b.323.2 | yes | 56 | 3.2 | odd | 2 |