Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(71,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bu (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 71.2 | ||
Character | \(\chi\) | \(=\) | 546.71 |
Dual form | 546.2.bu.b.323.2 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | −1.38004 | − | 1.04666i | −0.796765 | − | 0.604290i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −1.68505 | − | 1.68505i | −0.753579 | − | 0.753579i | 0.221566 | − | 0.975145i | \(-0.428883\pi\) |
−0.975145 | + | 0.221566i | \(0.928883\pi\) | |||||||
\(6\) | 1.60391 | + | 0.653816i | 0.654793 | + | 0.266919i | ||||
\(7\) | −0.258819 | + | 0.965926i | −0.0978244 | + | 0.365086i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0.809005 | + | 2.88886i | 0.269668 | + | 0.962953i | ||||
\(10\) | 2.06376 | + | 1.19151i | 0.652619 | + | 0.376789i | ||||
\(11\) | 1.39701 | + | 5.21372i | 0.421215 | + | 1.57200i | 0.772052 | + | 0.635560i | \(0.219231\pi\) |
−0.350836 | + | 0.936437i | \(0.614103\pi\) | |||||||
\(12\) | −1.71848 | − | 0.216416i | −0.496082 | − | 0.0624739i | ||||
\(13\) | −3.48120 | − | 0.938747i | −0.965511 | − | 0.260362i | ||||
\(14\) | − | 1.00000i | − | 0.267261i | ||||||
\(15\) | 0.561758 | + | 4.08912i | 0.145045 | + | 1.05581i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.157166 | − | 0.272219i | −0.0381183 | − | 0.0660228i | 0.846337 | − | 0.532648i | \(-0.178803\pi\) |
−0.884455 | + | 0.466625i | \(0.845470\pi\) | |||||||
\(18\) | −1.52913 | − | 2.58104i | −0.360419 | − | 0.608357i | ||||
\(19\) | 3.03381 | + | 0.812907i | 0.696004 | + | 0.186494i | 0.589440 | − | 0.807812i | \(-0.299348\pi\) |
0.106564 | + | 0.994306i | \(0.466015\pi\) | |||||||
\(20\) | −2.30183 | − | 0.616773i | −0.514704 | − | 0.137915i | ||||
\(21\) | 1.36818 | − | 1.06212i | 0.298560 | − | 0.231773i | ||||
\(22\) | −2.69882 | − | 4.67450i | −0.575391 | − | 0.996606i | ||||
\(23\) | 3.97748 | − | 6.88919i | 0.829361 | − | 1.43650i | −0.0691786 | − | 0.997604i | \(-0.522038\pi\) |
0.898540 | − | 0.438892i | \(-0.144629\pi\) | |||||||
\(24\) | 1.71593 | − | 0.235733i | 0.350264 | − | 0.0481188i | ||||
\(25\) | 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 | 0.966984 | + | 0.254838i | \(0.0820223\pi\) |
0.704188 | + | 0.710013i | \(0.251311\pi\) | |||||||
\(30\) | −1.60096 | − | 3.80439i | −0.292294 | − | 0.694583i | ||||
\(31\) | −1.93478 | + | 1.93478i | −0.347496 | + | 0.347496i | −0.859176 | − | 0.511680i | \(-0.829023\pi\) |
0.511680 | + | 0.859176i | \(0.329023\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 3.52907 | − | 8.65733i | 0.614332 | − | 1.50705i | ||||
\(34\) | 0.222266 | + | 0.222266i | 0.0381183 | + | 0.0381183i | ||||
\(35\) | 2.06376 | − | 1.19151i | 0.348839 | − | 0.201402i | ||||
\(36\) | 2.14505 | + | 2.09732i | 0.357508 | + | 0.349554i | ||||
\(37\) | 5.26559 | − | 1.41091i | 0.865658 | − | 0.231952i | 0.201449 | − | 0.979499i | \(-0.435435\pi\) |
0.664209 | + | 0.747547i | \(0.268768\pi\) | |||||||
\(38\) | −3.14083 | −0.509510 | ||||||||
\(39\) | 3.82164 | + | 4.93914i | 0.611952 | + | 0.790895i | ||||
\(40\) | 2.38303 | 0.376789 | ||||||||
\(41\) | −7.15363 | + | 1.91681i | −1.11721 | + | 0.299355i | −0.769753 | − | 0.638341i | \(-0.779621\pi\) |
−0.347455 | + | 0.937697i | \(0.612954\pi\) | |||||||
\(42\) | −1.04666 | + | 1.38004i | −0.161503 | + | 0.212944i | ||||
\(43\) | 3.91582 | − | 2.26080i | 0.597157 | − | 0.344769i | −0.170765 | − | 0.985312i | \(-0.554624\pi\) |
0.767922 | + | 0.640543i | \(0.221291\pi\) | |||||||
\(44\) | 3.81671 | + | 3.81671i | 0.575391 | + | 0.575391i | ||||
\(45\) | 3.50467 | − | 6.23110i | 0.522445 | − | 0.928878i | ||||
\(46\) | −2.05889 | + | 7.68390i | −0.303567 | + | 1.13293i | ||||
\(47\) | 1.31948 | − | 1.31948i | 0.192466 | − | 0.192466i | −0.604295 | − | 0.796761i | \(-0.706545\pi\) |
0.796761 | + | 0.604295i | \(0.206545\pi\) | |||||||
\(48\) | −1.59645 | + | 0.671817i | −0.230428 | + | 0.0969684i | ||||
\(49\) | −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 | \(0.625600\pi\) | |||||||
\(54\) | −0.591214 | + | 5.16241i | −0.0804540 | + | 0.702515i | ||||
\(55\) | 6.43136 | − | 11.1394i | 0.867205 | − | 1.50204i | ||||
\(56\) | −0.500000 | − | 0.866025i | −0.0668153 | − | 0.115728i | ||||
\(57\) | −3.33593 | − | 4.29721i | −0.441855 | − | 0.569179i | ||||
\(58\) | −10.0377 | − | 2.68959i | −1.31801 | − | 0.353160i | ||||
\(59\) | 10.6210 | + | 2.84589i | 1.38274 | + | 0.370503i | 0.872114 | − | 0.489302i | \(-0.162748\pi\) |
0.510622 | + | 0.859805i | \(0.329415\pi\) | |||||||
\(60\) | 2.53105 | + | 3.26040i | 0.326758 | + | 0.420916i | ||||
\(61\) | −1.00026 | − | 1.73250i | −0.128070 | − | 0.221824i | 0.794859 | − | 0.606794i | \(-0.207545\pi\) |
−0.922929 | + | 0.384971i | \(0.874212\pi\) | |||||||
\(62\) | 1.36809 | − | 2.36961i | 0.173748 | − | 0.300940i | ||||
\(63\) | −2.99981 | + | 0.0337465i | −0.377941 | + | 0.00425166i | ||||
\(64\) | − | 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 | 0.984461 | − | 0.175601i | \(-0.0561870\pi\) |
−0.940369 | + | 0.340155i | \(0.889520\pi\) | |||||||
\(68\) | −0.272219 | − | 0.157166i | −0.0330114 | − | 0.0190591i | ||||
\(69\) | −12.6997 | + | 5.34427i | −1.52887 | + | 0.643375i | ||||
\(70\) | −1.68505 | + | 1.68505i | −0.201402 | + | 0.201402i | ||||
\(71\) | 3.98667 | − | 14.8785i | 0.473131 | − | 1.76575i | −0.155283 | − | 0.987870i | \(-0.549629\pi\) |
0.628414 | − | 0.777879i | \(-0.283704\pi\) | |||||||
\(72\) | −2.61479 | − | 1.47068i | −0.308155 | − | 0.173321i | ||||
\(73\) | 10.3973 | + | 10.3973i | 1.21691 | + | 1.21691i | 0.968707 | + | 0.248206i | \(0.0798411\pi\) |
0.248206 | + | 0.968707i | \(0.420159\pi\) | |||||||
\(74\) | −4.72100 | + | 2.72567i | −0.548805 | + | 0.316853i | ||||
\(75\) | 0.710487 | − | 0.936787i | 0.0820399 | − | 0.108171i | ||||
\(76\) | 3.03381 | − | 0.812907i | 0.348002 | − | 0.0932468i | ||||
\(77\) | −5.39764 | −0.615119 | ||||||||
\(78\) | −4.96976 | − | 3.78173i | −0.562715 | − | 0.428197i | ||||
\(79\) | −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 | ||||
\(81\) | −7.69102 | + | 4.67420i | −0.854558 | + | 0.519356i | ||||
\(82\) | 6.41377 | − | 3.70299i | 0.708282 | − | 0.408927i | ||||
\(83\) | 7.71566 | + | 7.71566i | 0.846904 | + | 0.846904i | 0.989746 | − | 0.142841i | \(-0.0456239\pi\) |
−0.142841 | + | 0.989746i | \(0.545624\pi\) | |||||||
\(84\) | 0.653816 | − | 1.60391i | 0.0713372 | − | 0.175001i | ||||
\(85\) | −0.193871 | + | 0.723536i | −0.0210283 | + | 0.0784785i | ||||
\(86\) | −3.19725 | + | 3.19725i | −0.344769 | + | 0.344769i | ||||
\(87\) | −6.98137 | − | 16.5900i | −0.748481 | − | 1.77863i | ||||
\(88\) | −4.67450 | − | 2.69882i | −0.498303 | − | 0.287695i | ||||
\(89\) | −0.444776 | − | 1.65993i | −0.0471461 | − | 0.175952i | 0.938338 | − | 0.345719i | \(-0.112365\pi\) |
−0.985484 | + | 0.169767i | \(0.945698\pi\) | |||||||
\(90\) | −1.77252 | + | 6.92586i | −0.186840 | + | 0.730049i | ||||
\(91\) | 1.80776 | − | 3.11962i | 0.189505 | − | 0.327025i | ||||
\(92\) | − | 7.95495i | − | 0.829361i | ||||||
\(93\) | 4.69511 | − | 0.645009i | 0.486861 | − | 0.0668843i | ||||
\(94\) | −0.933016 | + | 1.61603i | −0.0962332 | + | 0.166681i | ||||
\(95\) | −3.74234 | − | 6.48192i | −0.383956 | − | 0.665031i | ||||
\(96\) | 1.36818 | − | 1.06212i | 0.139639 | − | 0.108402i | ||||
\(97\) | 10.5820 | + | 2.83543i | 1.07444 | + | 0.287895i | 0.752315 | − | 0.658803i | \(-0.228937\pi\) |
0.322122 | + | 0.946698i | \(0.395604\pi\) | |||||||
\(98\) | 0.965926 | + | 0.258819i | 0.0975732 | + | 0.0261447i | ||||
\(99\) | −13.9315 | + | 8.25370i | −1.40017 | + | 0.829528i | ||||
\(100\) | 0.339407 | + | 0.587869i | 0.0339407 | + | 0.0587869i | ||||
\(101\) | −1.99214 | + | 3.45048i | −0.198225 | + | 0.343336i | −0.947953 | − | 0.318410i | \(-0.896851\pi\) |
0.749728 | + | 0.661746i | \(0.230184\pi\) | |||||||
\(102\) | −0.0740983 | − | 0.539372i | −0.00733683 | − | 0.0534058i | ||||
\(103\) | − | 10.8341i | − | 1.06752i | −0.845637 | − | 0.533758i | \(-0.820779\pi\) | ||
0.845637 | − | 0.533758i | \(-0.179221\pi\) | |||||||
\(104\) | 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 | \(-0.319170\pi\) |
−0.460983 | + | 0.887409i | \(0.652503\pi\) | |||||||
\(108\) | −0.765061 | − | 5.13952i | −0.0736180 | − | 0.494551i | ||||
\(109\) | −10.7294 | + | 10.7294i | −1.02769 | + | 1.02769i | −0.0280885 | + | 0.999605i | \(0.508942\pi\) |
−0.999605 | + | 0.0280885i | \(0.991058\pi\) | |||||||
\(110\) | −3.32912 | + | 12.4244i | −0.317419 | + | 1.18462i | ||||
\(111\) | −8.74346 | − | 3.56418i | −0.829892 | − | 0.338297i | ||||
\(112\) | 0.707107 | + | 0.707107i | 0.0668153 | + | 0.0668153i | ||||
\(113\) | 3.00270 | − | 1.73361i | 0.282470 | − | 0.163084i | −0.352071 | − | 0.935973i | \(-0.614522\pi\) |
0.634541 | + | 0.772889i | \(0.281189\pi\) | |||||||
\(114\) | 4.33446 | + | 3.28738i | 0.405960 | + | 0.307892i | ||||
\(115\) | −18.3109 | + | 4.90640i | −1.70750 | + | 0.457524i | ||||
\(116\) | 10.3918 | 0.964852 | ||||||||
\(117\) | −0.104399 | − | 10.8162i | −0.00965166 | − | 0.999953i | ||||
\(118\) | −10.9957 | −1.01223 | ||||||||
\(119\) | 0.303621 | − | 0.0813550i | 0.0278329 | − | 0.00745780i | ||||
\(120\) | −3.28866 | − | 2.49422i | −0.300213 | − | 0.227690i | ||||
\(121\) | −15.7050 | + | 9.06727i | −1.42773 | + | 0.824298i | ||||
\(122\) | 1.41458 | + | 1.41458i | 0.128070 | + | 0.128070i | ||||
\(123\) | 11.8785 | + | 4.84215i | 1.07105 | + | 0.436602i | ||||
\(124\) | −0.708177 | + | 2.64295i | −0.0635962 | + | 0.237344i | ||||
\(125\) | −7.28143 | + | 7.28143i | −0.651271 | + | 0.651271i | ||||
\(126\) | 2.88886 | − | 0.809005i | 0.257360 | − | 0.0720719i | ||||
\(127\) | −6.18996 | − | 3.57378i | −0.549270 | − | 0.317121i | 0.199557 | − | 0.979886i | \(-0.436050\pi\) |
−0.748828 | + | 0.662765i | \(0.769383\pi\) | |||||||
\(128\) | 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 | \(0.867423\pi\) | |||||||
\(132\) | −1.27240 | − | 9.26200i | −0.110748 | − | 0.806154i | ||||
\(133\) | −1.57042 | + | 2.72004i | −0.136172 | + | 0.235857i | ||||
\(134\) | −0.697224 | − | 1.20763i | −0.0602310 | − | 0.104323i | ||||
\(135\) | −11.3584 | + | 4.93095i | −0.977577 | + | 0.424389i | ||||
\(136\) | 0.303621 | + | 0.0813550i | 0.0260353 | + | 0.00697613i | ||||
\(137\) | −4.12926 | − | 1.10643i | −0.352787 | − | 0.0945289i | 0.0780734 | − | 0.996948i | \(-0.475123\pi\) |
−0.430860 | + | 0.902419i | \(0.641790\pi\) | |||||||
\(138\) | 10.8838 | − | 8.44910i | 0.926489 | − | 0.719235i | ||||
\(139\) | 3.34790 | + | 5.79873i | 0.283965 | + | 0.491842i | 0.972358 | − | 0.233496i | \(-0.0750167\pi\) |
−0.688393 | + | 0.725338i | \(0.741683\pi\) | |||||||
\(140\) | 1.19151 | − | 2.06376i | 0.100701 | − | 0.174420i | ||||
\(141\) | −3.20199 | + | 0.439885i | −0.269656 | + | 0.0370450i | ||||
\(142\) | 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 | ||||
\(147\) | 0.671817 | + | 1.59645i | 0.0554105 | + | 0.131673i | ||||
\(148\) | 3.85468 | − | 3.85468i | 0.316853 | − | 0.316853i | ||||
\(149\) | 1.76766 | − | 6.59700i | 0.144812 | − | 0.540447i | −0.854951 | − | 0.518708i | \(-0.826413\pi\) |
0.999764 | − | 0.0217390i | \(-0.00692030\pi\) | |||||||
\(150\) | −0.443819 | + | 1.08875i | −0.0362377 | + | 0.0888964i | ||||
\(151\) | 1.86863 | + | 1.86863i | 0.152067 | + | 0.152067i | 0.779040 | − | 0.626974i | \(-0.215707\pi\) |
−0.626974 | + | 0.779040i | \(0.715707\pi\) | |||||||
\(152\) | −2.72004 | + | 1.57042i | −0.220624 | + | 0.127378i | ||||
\(153\) | 0.659255 | − | 0.674256i | 0.0532976 | − | 0.0545104i | ||||
\(154\) | 5.21372 | − | 1.39701i | 0.420134 | − | 0.112574i | ||||
\(155\) | 6.52040 | 0.523731 | ||||||||
\(156\) | 5.77920 | + | 2.36660i | 0.462707 | + | 0.189480i | ||||
\(157\) | 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 | ||||
\(159\) | 14.0685 | − | 18.5496i | 1.11571 | − | 1.47108i | ||||
\(160\) | 2.06376 | − | 1.19151i | 0.163155 | − | 0.0941974i | ||||
\(161\) | 5.62500 | + | 5.62500i | 0.443312 | + | 0.443312i | ||||
\(162\) | 6.21919 | − | 6.50552i | 0.488625 | − | 0.511122i | ||||
\(163\) | −5.24444 | + | 19.5725i | −0.410776 | + | 1.53304i | 0.382371 | + | 0.924009i | \(0.375108\pi\) |
−0.793148 | + | 0.609029i | \(0.791559\pi\) | |||||||
\(164\) | −5.23682 | + | 5.23682i | −0.408927 | + | 0.408927i | ||||
\(165\) | −20.5347 | + | 8.64140i | −1.59863 | + | 0.672732i | ||||
\(166\) | −9.44972 | − | 5.45580i | −0.733441 | − | 0.423452i | ||||
\(167\) | 4.34679 | + | 16.2224i | 0.336365 | + | 1.25533i | 0.902382 | + | 0.430937i | \(0.141817\pi\) |
−0.566017 | + | 0.824393i | \(0.691517\pi\) | |||||||
\(168\) | −0.216416 | + | 1.71848i | −0.0166968 | + | 0.132583i | ||||
\(169\) | 11.2375 | + | 6.53593i | 0.864424 | + | 0.502764i | ||||
\(170\) | − | 0.749060i | − | 0.0574503i | ||||||
\(171\) | 0.105992 | + | 9.42190i | 0.00810542 | + | 0.720510i | ||||
\(172\) | 2.26080 | − | 3.91582i | 0.172384 | − | 0.298579i | ||||
\(173\) | −5.22831 | − | 9.05569i | −0.397501 | − | 0.688492i | 0.595916 | − | 0.803047i | \(-0.296789\pi\) |
−0.993417 | + | 0.114555i | \(0.963456\pi\) | |||||||
\(174\) | 11.0373 | + | 14.2178i | 0.836734 | + | 1.07785i | ||||
\(175\) | −0.655683 | − | 0.175690i | −0.0495650 | − | 0.0132809i | ||||
\(176\) | 5.21372 | + | 1.39701i | 0.392999 | + | 0.105304i | ||||
\(177\) | −11.6787 | − | 15.0440i | −0.877824 | − | 1.13078i | ||||
\(178\) | 0.859240 | + | 1.48825i | 0.0644028 | + | 0.111549i | ||||
\(179\) | 7.06557 | − | 12.2379i | 0.528106 | − | 0.914706i | −0.471357 | − | 0.881942i | \(-0.656236\pi\) |
0.999463 | − | 0.0327637i | \(-0.0104309\pi\) | |||||||
\(180\) | −0.0804188 | − | 7.14863i | −0.00599406 | − | 0.532827i | ||||
\(181\) | − | 5.93112i | − | 0.440857i | −0.975403 | − | 0.220428i | \(-0.929254\pi\) | ||
0.975403 | − | 0.220428i | \(-0.0707455\pi\) | |||||||
\(182\) | −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 | ||||
\(186\) | −4.36819 | + | 1.83822i | −0.320291 | + | 0.134785i | ||||
\(187\) | 1.19971 | − | 1.19971i | 0.0877316 | − | 0.0877316i | ||||
\(188\) | 0.482964 | − | 1.80245i | 0.0352238 | − | 0.131457i | ||||
\(189\) | 4.17517 | + | 3.09321i | 0.303699 | + | 0.224998i | ||||
\(190\) | 5.29247 | + | 5.29247i | 0.383956 | + | 0.383956i | ||||
\(191\) | 6.94728 | − | 4.01102i | 0.502688 | − | 0.290227i | −0.227135 | − | 0.973863i | \(-0.572936\pi\) |
0.729823 | + | 0.683636i | \(0.239603\pi\) | |||||||
\(192\) | −1.04666 | + | 1.38004i | −0.0755362 | + | 0.0995956i | ||||
\(193\) | −11.0920 | + | 2.97208i | −0.798417 | + | 0.213935i | −0.634889 | − | 0.772604i | \(-0.718954\pi\) |
−0.163528 | + | 0.986539i | \(0.552287\pi\) | |||||||
\(194\) | −10.9553 | −0.786543 | ||||||||
\(195\) | 1.88305 | − | 14.7624i | 0.134848 | − | 1.05716i | ||||
\(196\) | −1.00000 | −0.0714286 | ||||||||
\(197\) | −5.05278 | + | 1.35389i | −0.359995 | + | 0.0964605i | −0.434283 | − | 0.900776i | \(-0.642998\pi\) |
0.0742879 | + | 0.997237i | \(0.476332\pi\) | |||||||
\(198\) | 11.3206 | − | 11.5782i | 0.804520 | − | 0.822827i | ||||
\(199\) | −9.41221 | + | 5.43414i | −0.667214 | + | 0.385216i | −0.795020 | − | 0.606583i | \(-0.792540\pi\) |
0.127806 | + | 0.991799i | \(0.459206\pi\) | |||||||
\(200\) | −0.479993 | − | 0.479993i | −0.0339407 | − | 0.0339407i | ||||
\(201\) | 0.911713 | − | 2.23657i | 0.0643073 | − | 0.157755i | ||||
\(202\) | 1.03121 | − | 3.84851i | 0.0725554 | − | 0.270780i | ||||
\(203\) | −7.34809 | + | 7.34809i | −0.515735 | + | 0.515735i | ||||
\(204\) | 0.211173 | + | 0.501815i | 0.0147851 | + | 0.0351341i | ||||
\(205\) | 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 | ||||||||
\(210\) | 4.08912 | − | 0.561758i | 0.282176 | − | 0.0387650i | ||||
\(211\) | 7.68985 | − | 13.3192i | 0.529391 | − | 0.916932i | −0.470022 | − | 0.882655i | \(-0.655754\pi\) |
0.999412 | − | 0.0342769i | \(-0.0109128\pi\) | |||||||
\(212\) | 6.72068 | + | 11.6406i | 0.461578 | + | 0.799477i | ||||
\(213\) | −21.0745 | + | 16.3601i | −1.44400 | + | 1.12098i | ||||
\(214\) | −0.888880 | − | 0.238175i | −0.0607626 | − | 0.0162813i | ||||
\(215\) | −10.4079 | − | 2.78880i | −0.709816 | − | 0.190195i | ||||
\(216\) | 2.06920 | + | 4.76638i | 0.140791 | + | 0.324311i | ||||
\(217\) | −1.36809 | − | 2.36961i | −0.0928722 | − | 0.160859i | ||||
\(218\) | 7.58686 | − | 13.1408i | 0.513847 | − | 0.890009i | ||||
\(219\) | −3.46622 | − | 25.2311i | −0.234226 | − | 1.70496i | ||||
\(220\) | − | 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 | 0.990691 | + | 0.136127i | \(0.0434656\pi\) |
−0.789900 | + | 0.613235i | \(0.789868\pi\) | |||||||
\(224\) | −0.866025 | − | 0.500000i | −0.0578638 | − | 0.0334077i | ||||
\(225\) | −1.96100 | + | 0.549163i | −0.130733 | + | 0.0366109i | ||||
\(226\) | −2.45169 | + | 2.45169i | −0.163084 | + | 0.163084i | ||||
\(227\) | 0.908723 | − | 3.39140i | 0.0603141 | − | 0.225095i | −0.929189 | − | 0.369604i | \(-0.879493\pi\) |
0.989504 | + | 0.144509i | \(0.0461601\pi\) | |||||||
\(228\) | −5.03761 | − | 2.05353i | −0.333624 | − | 0.135998i | ||||
\(229\) | 16.3831 | + | 16.3831i | 1.08263 | + | 1.08263i | 0.996264 | + | 0.0863648i | \(0.0275251\pi\) |
0.0863648 | + | 0.996264i | \(0.472475\pi\) | |||||||
\(230\) | 16.4171 | − | 9.47843i | 1.08251 | − | 0.624989i | ||||
\(231\) | 7.44895 | + | 5.64950i | 0.490105 | + | 0.371710i | ||||
\(232\) | −10.0377 | + | 2.68959i | −0.659006 | + | 0.176580i | ||||
\(233\) | −17.6100 | −1.15367 | −0.576835 | − | 0.816861i | \(-0.695712\pi\) | ||||
−0.576835 | + | 0.816861i | \(0.695712\pi\) | |||||||
\(234\) | 2.90027 | + | 10.4206i | 0.189596 | + | 0.681215i | ||||
\(235\) | −4.44680 | −0.290077 | ||||||||
\(236\) | 10.6210 | − | 2.84589i | 0.691368 | − | 0.185252i | ||||
\(237\) | 1.25896 | + | 0.954829i | 0.0817780 | + | 0.0620228i | ||||
\(238\) | −0.272219 | + | 0.157166i | −0.0176453 | + | 0.0101875i | ||||
\(239\) | 4.54828 | + | 4.54828i | 0.294203 | + | 0.294203i | 0.838738 | − | 0.544535i | \(-0.183294\pi\) |
−0.544535 | + | 0.838738i | \(0.683294\pi\) | |||||||
\(240\) | 3.82216 | + | 1.55806i | 0.246719 | + | 0.100572i | ||||
\(241\) | −2.02678 | + | 7.56405i | −0.130556 | + | 0.487243i | −0.999977 | − | 0.00683002i | \(-0.997826\pi\) |
0.869420 | + | 0.494073i | \(0.164493\pi\) | |||||||
\(242\) | 12.8231 | − | 12.8231i | 0.824298 | − | 0.824298i | ||||
\(243\) | 15.5062 | + | 1.59932i | 0.994723 | + | 0.102596i | ||||
\(244\) | −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 | ||||||
\(249\) | −2.57222 | − | 18.7236i | −0.163008 | − | 1.18656i | ||||
\(250\) | 5.14875 | − | 8.91790i | 0.325636 | − | 0.564017i | ||||
\(251\) | −1.15294 | − | 1.99695i | −0.0727729 | − | 0.126046i | 0.827343 | − | 0.561697i | \(-0.189852\pi\) |
−0.900116 | + | 0.435651i | \(0.856518\pi\) | |||||||
\(252\) | −2.58104 | + | 1.52913i | −0.162590 | + | 0.0963262i | ||||
\(253\) | 41.4749 | + | 11.1132i | 2.60751 | + | 0.698679i | ||||
\(254\) | 6.90400 | + | 1.84992i | 0.433196 | + | 0.116074i | ||||
\(255\) | 1.02485 | − | 0.795590i | 0.0641783 | − | 0.0498218i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.50697 | + | 4.34221i | −0.156381 | + | 0.270859i | −0.933561 | − | 0.358419i | \(-0.883316\pi\) |
0.777180 | + | 0.629278i | \(0.216649\pi\) | |||||||
\(258\) | 7.75877 | − | 1.06589i | 0.483040 | − | 0.0663594i | ||||
\(259\) | 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 | \(-0.436268\pi\) |
−0.749283 | + | 0.662250i | \(0.769602\pi\) | |||||||
\(264\) | 3.62623 | + | 8.61708i | 0.223179 | + | 0.530345i | ||||
\(265\) | 22.6494 | − | 22.6494i | 1.39134 | − | 1.39134i | ||||
\(266\) | 0.812907 | − | 3.03381i | 0.0498425 | − | 0.186015i | ||||
\(267\) | −1.12357 | + | 2.75629i | −0.0687614 | + | 0.168682i | ||||
\(268\) | 0.986024 | + | 0.986024i | 0.0602310 | + | 0.0602310i | ||||
\(269\) | 22.8265 | − | 13.1789i | 1.39176 | − | 0.803532i | 0.398249 | − | 0.917277i | \(-0.369618\pi\) |
0.993510 | + | 0.113745i | \(0.0362847\pi\) | |||||||
\(270\) | 9.69516 | − | 7.70271i | 0.590029 | − | 0.468772i | ||||
\(271\) | 24.6221 | − | 6.59747i | 1.49569 | − | 0.400768i | 0.584033 | − | 0.811730i | \(-0.301474\pi\) |
0.911653 | + | 0.410962i | \(0.134807\pi\) | |||||||
\(272\) | −0.314331 | −0.0190591 | ||||||||
\(273\) | −5.75995 | + | 2.41307i | −0.348608 | + | 0.146046i | ||||
\(274\) | 4.27493 | 0.258258 | ||||||||
\(275\) | −3.53914 | + | 0.948311i | −0.213418 | + | 0.0571853i | ||||
\(276\) | −8.32613 | + | 10.9781i | −0.501174 | + | 0.660806i | ||||
\(277\) | 11.5919 | − | 6.69261i | 0.696493 | − | 0.402120i | −0.109547 | − | 0.993982i | \(-0.534940\pi\) |
0.806040 | + | 0.591861i | \(0.201607\pi\) | |||||||
\(278\) | −4.73464 | − | 4.73464i | −0.283965 | − | 0.283965i | ||||
\(279\) | −7.15454 | − | 4.02405i | −0.428331 | − | 0.240914i | ||||
\(280\) | −0.616773 | + | 2.30183i | −0.0368592 | + | 0.137560i | ||||
\(281\) | −18.2454 | + | 18.2454i | −1.08843 | + | 1.08843i | −0.0927370 | + | 0.995691i | \(0.529562\pi\) |
−0.995691 | + | 0.0927370i | \(0.970438\pi\) | |||||||
\(282\) | 2.97903 | − | 1.25363i | 0.177399 | − | 0.0746527i | ||||
\(283\) | 12.5647 | + | 7.25421i | 0.746891 | + | 0.431218i | 0.824569 | − | 0.565761i | \(-0.191417\pi\) |
−0.0776784 | + | 0.996978i | \(0.524751\pi\) | |||||||
\(284\) | −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 | ||||||
\(288\) | −2.99981 | + | 0.0337465i | −0.176766 | + | 0.00198853i | ||||
\(289\) | 8.45060 | − | 14.6369i | 0.497094 | − | 0.860992i | ||||
\(290\) | 12.3819 | + | 21.4461i | 0.727092 | + | 1.25936i | ||||
\(291\) | −11.6358 | − | 14.9887i | −0.682102 | − | 0.878656i | ||||
\(292\) | 14.2030 | + | 3.80568i | 0.831167 | + | 0.222711i | ||||
\(293\) | −13.6841 | − | 3.66665i | −0.799435 | − | 0.214208i | −0.164099 | − | 0.986444i | \(-0.552472\pi\) |
−0.635336 | + | 0.772236i | \(0.719138\pi\) | |||||||
\(294\) | −1.06212 | − | 1.36818i | −0.0619440 | − | 0.0797936i | ||||
\(295\) | −13.1015 | − | 22.6924i | −0.762798 | − | 1.32120i | ||||
\(296\) | −2.72567 | + | 4.72100i | −0.158426 | + | 0.274403i | ||||
\(297\) | 27.8648 | + | 3.19116i | 1.61688 | + | 0.185170i | ||||
\(298\) | 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 | ||||
\(303\) | 6.36071 | − | 2.67670i | 0.365413 | − | 0.153773i | ||||
\(304\) | 2.22090 | − | 2.22090i | 0.127378 | − | 0.127378i | ||||
\(305\) | −1.23386 | + | 4.60484i | −0.0706508 | + | 0.263672i | ||||
\(306\) | −0.462281 | + | 0.821909i | −0.0264268 | + | 0.0469854i | ||||
\(307\) | −10.3618 | − | 10.3618i | −0.591379 | − | 0.591379i | 0.346625 | − | 0.938004i | \(-0.387328\pi\) |
−0.938004 | + | 0.346625i | \(0.887328\pi\) | |||||||
\(308\) | −4.67450 | + | 2.69882i | −0.266354 | + | 0.153780i | ||||
\(309\) | −11.3396 | + | 14.9515i | −0.645088 | + | 0.850559i | ||||
\(310\) | −6.29822 | + | 1.68760i | −0.357715 | + | 0.0958495i | ||||
\(311\) | 6.34746 | 0.359931 | 0.179966 | − | 0.983673i | \(-0.442401\pi\) | ||||
0.179966 | + | 0.983673i | \(0.442401\pi\) | |||||||
\(312\) | −6.19480 | − | 0.790194i | −0.350712 | − | 0.0447359i | ||||
\(313\) | −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 | ||||
\(315\) | 5.11171 | + | 4.99798i | 0.288012 | + | 0.281604i | ||||
\(316\) | −0.790043 | + | 0.456131i | −0.0444434 | + | 0.0256594i | ||||
\(317\) | −19.2806 | − | 19.2806i | −1.08290 | − | 1.08290i | −0.996237 | − | 0.0866677i | \(-0.972378\pi\) |
−0.0866677 | − | 0.996237i | \(-0.527622\pi\) | |||||||
\(318\) | −8.78819 | + | 21.5587i | −0.492817 | + | 1.20895i | ||||
\(319\) | −14.5174 | + | 54.1798i | −0.812820 | + | 3.03349i | ||||
\(320\) | −1.68505 | + | 1.68505i | −0.0941974 | + | 0.0941974i | ||||
\(321\) | −0.618230 | − | 1.46911i | −0.0345063 | − | 0.0819979i | ||||
\(322\) | −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 | ||||||
\(327\) | 26.0371 | − | 3.57695i | 1.43986 | − | 0.197806i | ||||
\(328\) | 3.70299 | − | 6.41377i | 0.204463 | − | 0.354141i | ||||
\(329\) | 0.933016 | + | 1.61603i | 0.0514388 | + | 0.0890946i | ||||
\(330\) | 17.5985 | − | 13.6617i | 0.968764 | − | 0.752053i | ||||
\(331\) | 18.2264 | + | 4.88375i | 1.00181 | + | 0.268435i | 0.722205 | − | 0.691679i | \(-0.243129\pi\) |
0.279608 | + | 0.960114i | \(0.409795\pi\) | |||||||
\(332\) | 10.5398 | + | 2.82413i | 0.578446 | + | 0.154994i | ||||
\(333\) | 8.33581 | + | 14.0701i | 0.456800 | + | 0.771038i | ||||
\(334\) | −8.39735 | − | 14.5446i | −0.459483 | − | 0.795847i | ||||
\(335\) | 1.66150 | − | 2.87781i | 0.0907776 | − | 0.157231i | ||||
\(336\) | −0.235733 | − | 1.71593i | −0.0128603 | − | 0.0936119i | ||||
\(337\) | − | 7.09230i | − | 0.386342i | −0.981165 | − | 0.193171i | \(-0.938123\pi\) | ||
0.981165 | − | 0.193171i | \(-0.0618772\pi\) | |||||||
\(338\) | −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 | ||||
\(342\) | −2.54095 | − | 9.07342i | −0.137399 | − | 0.490634i | ||||
\(343\) | 0.707107 | − | 0.707107i | 0.0381802 | − | 0.0381802i | ||||
\(344\) | −1.17028 | + | 4.36753i | −0.0630971 | + | 0.235481i | ||||
\(345\) | 30.4051 | + | 12.3943i | 1.63695 | + | 0.667287i | ||||
\(346\) | 7.39394 | + | 7.39394i | 0.397501 | + | 0.397501i | ||||
\(347\) | −1.23698 | + | 0.714171i | −0.0664046 | + | 0.0383387i | −0.532835 | − | 0.846219i | \(-0.678873\pi\) |
0.466430 | + | 0.884558i | \(0.345540\pi\) | |||||||
\(348\) | −14.3410 | − | 10.8767i | −0.768760 | − | 0.583050i | ||||
\(349\) | −1.85091 | + | 0.495949i | −0.0990768 | + | 0.0265475i | −0.308017 | − | 0.951381i | \(-0.599665\pi\) |
0.208940 | + | 0.977928i | \(0.432999\pi\) | |||||||
\(350\) | 0.678813 | 0.0362841 | ||||||||
\(351\) | −11.1768 | + | 15.0360i | −0.596571 | + | 0.802560i | ||||
\(352\) | −5.39764 | −0.287695 | ||||||||
\(353\) | −10.8938 | + | 2.91899i | −0.579820 | + | 0.155362i | −0.536796 | − | 0.843712i | \(-0.680366\pi\) |
−0.0430234 | + | 0.999074i | \(0.513699\pi\) | |||||||
\(354\) | 15.1744 | + | 11.5087i | 0.806512 | + | 0.611682i | ||||
\(355\) | −31.7888 | + | 18.3533i | −1.68717 | + | 0.974090i | ||||
\(356\) | −1.21515 | − | 1.21515i | −0.0644028 | − | 0.0644028i | ||||
\(357\) | −0.504159 | − | 0.205515i | −0.0266829 | − | 0.0108770i | ||||
\(358\) | −3.65741 | + | 13.6496i | −0.193300 | + | 0.721406i | ||||
\(359\) | 7.42615 | − | 7.42615i | 0.391937 | − | 0.391937i | −0.483440 | − | 0.875377i | \(-0.660613\pi\) |
0.875377 | + | 0.483440i | \(0.160613\pi\) | |||||||
\(360\) | 1.92788 | + | 6.88423i | 0.101608 | + | 0.362831i | ||||
\(361\) | −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 | ||||||
\(366\) | −0.471588 | − | 3.43275i | −0.0246503 | − | 0.179433i | ||||
\(367\) | 2.03209 | − | 3.51968i | 0.106074 | − | 0.183726i | −0.808102 | − | 0.589042i | \(-0.799505\pi\) |
0.914177 | + | 0.405316i | \(0.132839\pi\) | |||||||
\(368\) | −3.97748 | − | 6.88919i | −0.207340 | − | 0.359124i | ||||
\(369\) | −11.3247 | − | 19.1151i | −0.589541 | − | 0.995093i | ||||
\(370\) | 12.5480 | + | 3.36224i | 0.652342 | + | 0.174794i | ||||
\(371\) | −12.9834 | − | 3.47888i | −0.674063 | − | 0.180615i | ||||
\(372\) | 3.74358 | − | 2.90615i | 0.194096 | − | 0.150677i | ||||
\(373\) | −8.51183 | − | 14.7429i | −0.440726 | − | 0.763360i | 0.557017 | − | 0.830501i | \(-0.311946\pi\) |
−0.997744 | + | 0.0671409i | \(0.978612\pi\) | |||||||
\(374\) | −0.848325 | + | 1.46934i | −0.0438658 | + | 0.0759778i | ||||
\(375\) | 17.6698 | − | 2.42746i | 0.912466 | − | 0.125354i | ||||
\(376\) | 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 | 0.941622 | − | 0.336672i | \(-0.109301\pi\) |
−0.983805 | + | 0.179245i | \(0.942635\pi\) | |||||||
\(380\) | −6.48192 | − | 3.74234i | −0.332516 | − | 0.191978i | ||||
\(381\) | 4.80185 | + | 11.4107i | 0.246006 | + | 0.584589i | ||||
\(382\) | −5.67243 | + | 5.67243i | −0.290227 | + | 0.290227i | ||||
\(383\) | 9.20354 | − | 34.3481i | 0.470279 | − | 1.75511i | −0.168487 | − | 0.985704i | \(-0.553888\pi\) |
0.638766 | − | 0.769401i | \(-0.279445\pi\) | |||||||
\(384\) | 0.653816 | − | 1.60391i | 0.0333649 | − | 0.0818491i | ||||
\(385\) | 9.09532 | + | 9.09532i | 0.463540 | + | 0.463540i | ||||
\(386\) | 9.94478 | − | 5.74162i | 0.506176 | − | 0.292241i | ||||
\(387\) | 9.69905 | + | 9.48326i | 0.493031 | + | 0.482061i | ||||
\(388\) | 10.5820 | − | 2.83543i | 0.537219 | − | 0.143947i | ||||
\(389\) | 19.8980 | 1.00887 | 0.504434 | − | 0.863450i | \(-0.331701\pi\) | ||||
0.504434 | + | 0.863450i | \(0.331701\pi\) | |||||||
\(390\) | 2.00190 | + | 14.7467i | 0.101370 | + | 0.746730i | ||||
\(391\) | −2.50049 | −0.126455 | ||||||||
\(392\) | 0.965926 | − | 0.258819i | 0.0487866 | − | 0.0130723i | ||||
\(393\) | 9.69306 | − | 12.7804i | 0.488950 | − | 0.644688i | ||||
\(394\) | 4.53019 | − | 2.61551i | 0.228228 | − | 0.131767i | ||||
\(395\) | 1.53721 | + | 1.53721i | 0.0773455 | + | 0.0773455i | ||||
\(396\) | −7.93820 | + | 14.1137i | −0.398910 | + | 0.709239i | ||||
\(397\) | 8.93785 | − | 33.3565i | 0.448578 | − | 1.67411i | −0.257736 | − | 0.966215i | \(-0.582976\pi\) |
0.706314 | − | 0.707899i | \(-0.250357\pi\) | |||||||
\(398\) | 7.68504 | − | 7.68504i | 0.385216 | − | 0.385216i | ||||
\(399\) | 5.01419 | − | 2.11006i | 0.251023 | − | 0.105635i | ||||
\(400\) | 0.587869 | + | 0.339407i | 0.0293935 | + | 0.0169703i | ||||
\(401\) | 0.0962543 | + | 0.359226i | 0.00480671 | + | 0.0179389i | 0.968288 | − | 0.249838i | \(-0.0803775\pi\) |
−0.963481 | + | 0.267777i | \(0.913711\pi\) | |||||||
\(402\) | −0.301781 | + | 2.39633i | −0.0150515 | + | 0.119518i | ||||
\(403\) | 8.55160 | − | 4.91908i | 0.425986 | − | 0.245037i | ||||
\(404\) | 3.98427i | 0.198225i | ||||||||
\(405\) | 20.8361 | + | 5.08351i | 1.03535 | + | 0.252601i | ||||
\(406\) | 5.19588 | − | 8.99954i | 0.257867 | − | 0.446640i | ||||
\(407\) | 14.7122 | + | 25.4823i | 0.729257 | + | 1.26311i | ||||
\(408\) | −0.333857 | − | 0.430061i | −0.0165284 | − | 0.0212912i | ||||
\(409\) | 7.07285 | + | 1.89516i | 0.349730 | + | 0.0937098i | 0.429407 | − | 0.903111i | \(-0.358722\pi\) |
−0.0796777 | + | 0.996821i | \(0.525389\pi\) | |||||||
\(410\) | −17.0473 | − | 4.56780i | −0.841905 | − | 0.225588i | ||||
\(411\) | 4.54048 | + | 5.84885i | 0.223965 | + | 0.288503i | ||||
\(412\) | −5.41705 | − | 9.38260i | −0.266879 | − | 0.462248i | ||||
\(413\) | −5.49783 | + | 9.52253i | −0.270531 | + | 0.468573i | ||||
\(414\) | −23.8634 | + | 0.268452i | −1.17282 | + | 0.0131937i | ||||
\(415\) | − | 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 | \(-0.387970\pi\) |
−0.640574 | + | 0.767897i | \(0.721303\pi\) | |||||||
\(420\) | −3.80439 | + | 1.60096i | −0.185635 | + | 0.0781187i | ||||
\(421\) | −17.6307 | + | 17.6307i | −0.859267 | + | 0.859267i | −0.991252 | − | 0.131985i | \(-0.957865\pi\) |
0.131985 | + | 0.991252i | \(0.457865\pi\) | |||||||
\(422\) | −3.98056 | + | 14.8556i | −0.193771 | + | 0.723161i | ||||
\(423\) | 4.87927 | + | 2.74433i | 0.237238 | + | 0.133434i | ||||
\(424\) | −9.50448 | − | 9.50448i | −0.461578 | − | 0.461578i | ||||
\(425\) | 0.184786 | − | 0.106686i | 0.00896343 | − | 0.00517504i | ||||
\(426\) | 16.1220 | − | 21.2572i | 0.781116 | − | 1.02991i | ||||
\(427\) | 1.93235 | − | 0.517772i | 0.0935130 | − | 0.0250567i | ||||
\(428\) | 0.920236 | 0.0444813 | ||||||||
\(429\) | −20.4124 | + | 26.8250i | −0.985521 | + | 1.29512i | ||||
\(430\) | 10.7751 | 0.519621 | ||||||||
\(431\) | 9.14787 | − | 2.45116i | 0.440637 | − | 0.118068i | −0.0316778 | − | 0.999498i | \(-0.510085\pi\) |
0.472315 | + | 0.881430i | \(0.343418\pi\) | |||||||
\(432\) | −3.23232 | − | 4.06843i | −0.155515 | − | 0.195742i | ||||
\(433\) | −15.2953 | + | 8.83075i | −0.735046 | + | 0.424379i | −0.820265 | − | 0.571983i | \(-0.806174\pi\) |
0.0852196 | + | 0.996362i | \(0.472841\pi\) | |||||||
\(434\) | 1.93478 | + | 1.93478i | 0.0928722 | + | 0.0928722i | ||||
\(435\) | −16.1910 | + | 39.7190i | −0.776300 | + | 1.90438i | ||||
\(436\) | −3.92725 | + | 14.6567i | −0.188081 | + | 0.701928i | ||||
\(437\) | 17.6672 | − | 17.6672i | 0.845136 | − | 0.845136i | ||||
\(438\) | 9.87841 | + | 23.4743i | 0.472009 | + | 1.12164i | ||||
\(439\) | 17.1442 | + | 9.89820i | 0.818248 | + | 0.472415i | 0.849812 | − | 0.527086i | \(-0.176716\pi\) |
−0.0315642 | + | 0.999502i | \(0.510049\pi\) | |||||||
\(440\) | 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 | \(0.834465\pi\) | |||||||
\(444\) | −9.35414 | + | 1.28506i | −0.443928 | + | 0.0609863i | ||||
\(445\) | −2.04759 | + | 3.54653i | −0.0970652 | + | 0.168122i | ||||
\(446\) | −5.79256 | − | 10.0330i | −0.274286 | − | 0.475077i | ||||
\(447\) | −9.34426 | + | 7.25397i | −0.441968 | + | 0.343101i | ||||
\(448\) | 0.965926 | + | 0.258819i | 0.0456357 | + | 0.0122281i | ||||
\(449\) | 6.41982 | + | 1.72019i | 0.302970 | + | 0.0811806i | 0.407101 | − | 0.913383i | \(-0.366540\pi\) |
−0.104131 | + | 0.994564i | \(0.533206\pi\) | |||||||
\(450\) | 1.75204 | − | 1.03799i | 0.0825921 | − | 0.0489315i | ||||
\(451\) | −19.9874 | − | 34.6192i | −0.941171 | − | 1.63016i | ||||
\(452\) | 1.73361 | − | 3.00270i | 0.0815421 | − | 0.141235i | ||||
\(453\) | −0.622957 | − | 4.53460i | −0.0292691 | − | 0.213054i | ||||
\(454\) | 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 | −0.996459 | − | 0.0840783i | \(-0.973205\pi\) |
0.820920 | − | 0.571044i | \(-0.193461\pi\) | |||||||
\(458\) | −20.0652 | − | 11.5846i | −0.937584 | − | 0.541314i | ||||
\(459\) | −1.61551 | + | 0.240483i | −0.0754057 | + | 0.0112248i | ||||
\(460\) | −13.4045 | + | 13.4045i | −0.624989 | + | 0.624989i | ||||
\(461\) | −2.64045 | + | 9.85429i | −0.122978 | + | 0.458960i | −0.999760 | − | 0.0219289i | \(-0.993019\pi\) |
0.876782 | + | 0.480889i | \(0.159686\pi\) | |||||||
\(462\) | −8.65733 | − | 3.52907i | −0.402775 | − | 0.164187i | ||||
\(463\) | 2.59471 | + | 2.59471i | 0.120586 | + | 0.120586i | 0.764825 | − | 0.644238i | \(-0.222826\pi\) |
−0.644238 | + | 0.764825i | \(0.722826\pi\) | |||||||
\(464\) | 8.99954 | − | 5.19588i | 0.417793 | − | 0.241213i | ||||
\(465\) | −8.99839 | − | 6.82464i | −0.417291 | − | 0.316485i | ||||
\(466\) | 17.0100 | − | 4.55781i | 0.787971 | − | 0.211136i | ||||
\(467\) | 2.35099 | 0.108791 | 0.0543954 | − | 0.998519i | \(-0.482677\pi\) | ||||
0.0543954 | + | 0.998519i | \(0.482677\pi\) | |||||||
\(468\) | −5.49849 | − | 9.31486i | −0.254168 | − | 0.430580i | ||||
\(469\) | −1.39445 | −0.0643896 | ||||||||
\(470\) | 4.29528 | − | 1.15092i | 0.198126 | − | 0.0530878i | ||||
\(471\) | −15.5526 | − | 11.7956i | −0.716628 | − | 0.543512i | ||||
\(472\) | −9.52253 | + | 5.49783i | −0.438310 | + | 0.253058i | ||||
\(473\) | 17.2576 | + | 17.2576i | 0.793507 | + | 0.793507i | ||||
\(474\) | −1.46319 | − | 0.596452i | −0.0672064 | − | 0.0273960i | ||||
\(475\) | −0.551812 | + | 2.05939i | −0.0253189 | + | 0.0944913i | ||||
\(476\) | 0.222266 | − | 0.222266i | 0.0101875 | − | 0.0101875i | ||||
\(477\) | −38.8302 | + | 10.8741i | −1.77791 | + | 0.497892i | ||||
\(478\) | −5.57048 | − | 3.21612i | −0.254788 | − | 0.147102i | ||||
\(479\) | −6.34353 | − | 23.6744i | −0.289843 | − | 1.08171i | −0.945227 | − | 0.326414i | \(-0.894160\pi\) |
0.655384 | − | 0.755296i | \(-0.272507\pi\) | |||||||
\(480\) | −4.09518 | − | 0.515725i | −0.186918 | − | 0.0235395i | ||||
\(481\) | −19.6551 | − | 0.0313942i | −0.896194 | − | 0.00143145i | ||||
\(482\) | − | 7.83088i | − | 0.356687i | ||||||
\(483\) | −1.87525 | − | 13.6502i | −0.0853266 | − | 0.621105i | ||||
\(484\) | −9.06727 | + | 15.7050i | −0.412149 | + | 0.713863i | ||||
\(485\) | −13.0534 | − | 22.6091i | −0.592722 | − | 1.02662i | ||||
\(486\) | −15.3918 | + | 2.46848i | −0.698185 | + | 0.111972i | ||||
\(487\) | −28.3651 | − | 7.60040i | −1.28534 | − | 0.344407i | −0.449454 | − | 0.893304i | \(-0.648381\pi\) |
−0.835890 | + | 0.548897i | \(0.815048\pi\) | |||||||
\(488\) | 1.93235 | + | 0.517772i | 0.0874734 | + | 0.0234384i | ||||
\(489\) | 27.7233 | − | 21.5217i | 1.25369 | − | 0.973243i | ||||
\(490\) | −1.19151 | − | 2.06376i | −0.0538271 | − | 0.0932312i | ||||
\(491\) | 2.03495 | − | 3.52464i | 0.0918360 | − | 0.159065i | −0.816448 | − | 0.577419i | \(-0.804060\pi\) |
0.908284 | + | 0.418355i | \(0.137393\pi\) | |||||||
\(492\) | 12.7082 | − | 1.74583i | 0.572929 | − | 0.0787083i | ||||
\(493\) | − | 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 | ||||
\(498\) | 7.33060 | + | 17.4199i | 0.328492 | + | 0.780602i | ||||
\(499\) | 3.98743 | − | 3.98743i | 0.178502 | − | 0.178502i | −0.612201 | − | 0.790702i | \(-0.709716\pi\) |
0.790702 | + | 0.612201i | \(0.209716\pi\) | |||||||
\(500\) | −2.66519 | + | 9.94662i | −0.119191 | + | 0.444826i | ||||
\(501\) | 10.9807 | − | 26.9372i | 0.490579 | − | 1.20346i | ||||
\(502\) | 1.63050 | + | 1.63050i | 0.0727729 | + | 0.0727729i | ||||
\(503\) | 0.509042 | − | 0.293895i | 0.0226970 | − | 0.0131041i | −0.488609 | − | 0.872503i | \(-0.662495\pi\) |
0.511306 | + | 0.859399i | \(0.329162\pi\) | |||||||
\(504\) | 2.09732 | − | 2.14505i | 0.0934222 | − | 0.0955481i | ||||
\(505\) | 9.17111 | − | 2.45739i | 0.408109 | − | 0.109352i | ||||
\(506\) | −42.9380 | −1.90883 | ||||||||
\(507\) | −8.66728 | − | 20.7817i | −0.384927 | − | 0.922947i | ||||
\(508\) | −7.14755 | −0.317121 | ||||||||
\(509\) | −16.4316 | + | 4.40284i | −0.728319 | + | 0.195153i | −0.603881 | − | 0.797075i | \(-0.706380\pi\) |
−0.124439 | + | 0.992227i | \(0.539713\pi\) | |||||||
\(510\) | −0.784011 | + | 1.03373i | −0.0347166 | + | 0.0457744i | ||||
\(511\) | −12.7341 | + | 7.35201i | −0.563322 | + | 0.325234i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 9.71525 | − | 13.1135i | 0.428939 | − | 0.578975i | ||||
\(514\) | 1.29770 | − | 4.84310i | 0.0572393 | − | 0.213620i | ||||
\(515\) | −18.2560 | + | 18.2560i | −0.804457 | + | 0.804457i | ||||
\(516\) | −7.21852 | + | 3.03769i | −0.317778 | + | 0.133727i | ||||
\(517\) | 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 | \(-0.0461554\pi\) | |||||||
\(522\) | −0.350686 | − | 31.1733i | −0.0153491 | − | 1.36442i | ||||
\(523\) | −19.5875 | + | 33.9266i | −0.856503 | + | 1.48351i | 0.0187410 | + | 0.999824i | \(0.494034\pi\) |
−0.875244 | + | 0.483682i | \(0.839299\pi\) | |||||||
\(524\) | 4.63047 | + | 8.02021i | 0.202283 | + | 0.350365i | ||||
\(525\) | 0.720979 | + | 0.928736i | 0.0314661 | + | 0.0405334i | ||||
\(526\) | 9.95563 | + | 2.66760i | 0.434086 | + | 0.116313i | ||||
\(527\) | 0.830763 | + | 0.222602i | 0.0361886 | + | 0.00969671i | ||||
\(528\) | −5.73293 | − | 7.38493i | −0.249494 | − | 0.321388i | ||||
\(529\) | −20.1407 | − | 34.8846i | −0.875680 | − | 1.51672i | ||||
\(530\) | −16.0156 | + | 27.7398i | −0.695672 | + | 1.20494i | ||||
\(531\) | 0.371065 | + | 32.9849i | 0.0161029 | + | 1.43142i | ||||
\(532\) | 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 | ||||
\(537\) | −22.5597 | + | 9.49355i | −0.973523 | + | 0.409677i | ||||
\(538\) | −18.6378 | + | 18.6378i | −0.803532 | + | 0.803532i | ||||
\(539\) | 1.39701 | − | 5.21372i | 0.0601736 | − | 0.224571i | ||||
\(540\) | −7.37120 | + | 9.94954i | −0.317206 | + | 0.428160i | ||||
\(541\) | −9.44349 | − | 9.44349i | −0.406008 | − | 0.406008i | 0.474336 | − | 0.880344i | \(-0.342688\pi\) |
−0.880344 | + | 0.474336i | \(0.842688\pi\) | |||||||
\(542\) | −22.0756 | + | 12.7453i | −0.948227 | + | 0.547459i | ||||
\(543\) | −6.20787 | + | 8.18517i | −0.266405 | + | 0.351259i | ||||
\(544\) | 0.303621 | − | 0.0813550i | 0.0130176 | − | 0.00348807i | ||||
\(545\) | 36.1594 | 1.54890 | ||||||||
\(546\) | 4.93914 | − | 3.82164i | 0.211376 | − | 0.163551i | ||||
\(547\) | −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 | ||||
\(549\) | 4.19573 | − | 4.29120i | 0.179069 | − | 0.183144i | ||||
\(550\) | 3.17311 | − | 1.83200i | 0.135302 | − | 0.0781165i | ||||
\(551\) | 23.0791 | + | 23.0791i | 0.983203 | + | 0.983203i | ||||
\(552\) | 5.20108 | − | 12.7590i | 0.221373 | − | 0.543060i | ||||
\(553\) | 0.236111 | − | 0.881178i | 0.0100405 | − | 0.0374715i | ||||
\(554\) | −9.46478 | + | 9.46478i | −0.402120 | + | 0.402120i | ||||
\(555\) | 8.72737 | + | 20.7390i | 0.370456 | + | 0.880323i | ||||
\(556\) | 5.79873 | + | 3.34790i | 0.245921 | + | 0.141982i | ||||
\(557\) | 6.25932 | + | 23.3601i | 0.265216 | + | 0.989799i | 0.962118 | + | 0.272633i | \(0.0878945\pi\) |
−0.696902 | + | 0.717166i | \(0.745439\pi\) | |||||||
\(558\) | 7.95225 | + | 2.03521i | 0.336646 | + | 0.0861571i | ||||
\(559\) | −15.7541 | + | 4.19433i | −0.666326 | + | 0.177401i | ||||
\(560\) | − | 2.38303i | − | 0.100701i | ||||||
\(561\) | −2.91134 | + | 0.399956i | −0.122917 | + | 0.0168862i | ||||
\(562\) | 12.9014 | − | 22.3459i | 0.544214 | − | 0.942606i | ||||
\(563\) | −7.44158 | − | 12.8892i | −0.313625 | − | 0.543215i | 0.665519 | − | 0.746381i | \(-0.268210\pi\) |
−0.979144 | + | 0.203166i | \(0.934877\pi\) | |||||||
\(564\) | −2.55306 | + | 1.98194i | −0.107503 | + | 0.0834549i | ||||
\(565\) | −7.98094 | − | 2.13849i | −0.335761 | − | 0.0899668i | ||||
\(566\) | −14.0140 | − | 3.75505i | −0.589054 | − | 0.157837i | ||||
\(567\) | −2.52435 | − | 8.63873i | −0.106013 | − | 0.362793i | ||||
\(568\) | 7.70166 | + | 13.3397i | 0.323155 | + | 0.559720i | ||||
\(569\) | −21.4049 | + | 37.0743i | −0.897339 | + | 1.55424i | −0.0664562 | + | 0.997789i | \(0.521169\pi\) |
−0.830883 | + | 0.556447i | \(0.812164\pi\) | |||||||
\(570\) | −1.76439 | − | 12.8432i | −0.0739020 | − | 0.537943i | ||||
\(571\) | 4.14595i | 0.173503i | 0.996230 | + | 0.0867514i | \(0.0276486\pi\) | ||||
−0.996230 | + | 0.0867514i | \(0.972351\pi\) | |||||||
\(572\) | −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 | ||||
\(576\) | 2.88886 | − | 0.809005i | 0.120369 | − | 0.0337085i | ||||
\(577\) | 8.72938 | − | 8.72938i | 0.363409 | − | 0.363409i | −0.501657 | − | 0.865066i | \(-0.667276\pi\) |
0.865066 | + | 0.501657i | \(0.167276\pi\) | |||||||
\(578\) | −4.37435 | + | 16.3253i | −0.181949 | + | 0.679043i | ||||
\(579\) | 18.4181 | + | 7.50793i | 0.765429 | + | 0.312019i | ||||
\(580\) | −17.5107 | − | 17.5107i | −0.727092 | − | 0.727092i | ||||
\(581\) | −9.44972 | + | 5.45580i | −0.392040 | + | 0.226345i | ||||
\(582\) | 15.1187 | + | 11.4664i | 0.626690 | + | 0.475300i | ||||
\(583\) | −70.0796 | + | 18.7778i | −2.90240 | + | 0.777696i | ||||
\(584\) | −14.7040 | −0.608457 | ||||||||
\(585\) | −18.0499 | + | 18.4017i | −0.746271 | + | 0.760817i | ||||
\(586\) | 14.1669 | 0.585227 | ||||||||
\(587\) | −20.4212 | + | 5.47185i | −0.842874 | + | 0.225847i | −0.654322 | − | 0.756216i | \(-0.727046\pi\) |
−0.188552 | + | 0.982063i | \(0.560379\pi\) | |||||||
\(588\) | 1.38004 | + | 1.04666i | 0.0569118 | + | 0.0431635i | ||||
\(589\) | −7.44253 | + | 4.29695i | −0.306664 | + | 0.177053i | ||||
\(590\) | 18.5283 | + | 18.5283i | 0.762798 | + | 0.762798i | ||||
\(591\) | 8.39008 | + | 3.42013i | 0.345122 | + | 0.140685i | ||||
\(592\) | 1.41091 | − | 5.26559i | 0.0579881 | − | 0.216415i | ||||
\(593\) | −3.55722 | + | 3.55722i | −0.146077 | + | 0.146077i | −0.776363 | − | 0.630286i | \(-0.782938\pi\) |
0.630286 | + | 0.776363i | \(0.282938\pi\) | |||||||
\(594\) | −27.7413 | + | 4.12953i | −1.13824 | + | 0.169437i | ||||
\(595\) | −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 | \(-0.180572\pi\) | |||||||
\(600\) | 0.160019 | + | 1.16480i | 0.00653273 | + | 0.0475527i | ||||
\(601\) | 4.78852 | − | 8.29396i | 0.195328 | − | 0.338317i | −0.751680 | − | 0.659528i | \(-0.770756\pi\) |
0.947008 | + | 0.321210i | \(0.104090\pi\) | |||||||
\(602\) | −2.26080 | − | 3.91582i | −0.0921433 | − | 0.159597i | ||||
\(603\) | −3.59912 | + | 2.13229i | −0.146568 | + | 0.0868337i | ||||
\(604\) | 2.55259 | + | 0.683966i | 0.103864 | + | 0.0278302i | ||||
\(605\) | 41.7426 | + | 11.1849i | 1.69708 | + | 0.454731i | ||||
\(606\) | −5.45119 | + | 4.23177i | −0.221439 | + | 0.171904i | ||||
\(607\) | 14.0402 | + | 24.3184i | 0.569876 | + | 0.987054i | 0.996578 | + | 0.0826613i | \(0.0263420\pi\) |
−0.426702 | + | 0.904392i | \(0.640325\pi\) | |||||||
\(608\) | −1.57042 | + | 2.72004i | −0.0636888 | + | 0.110312i | ||||
\(609\) | 17.8316 | − | 2.44968i | 0.722573 | − | 0.0992662i | ||||
\(610\) | − | 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 | 0.989034 | − | 0.147686i | \(-0.0471825\pi\) |
−0.930372 | + | 0.366617i | \(0.880516\pi\) | |||||||
\(614\) | 12.6905 | + | 7.32689i | 0.512149 | + | 0.295689i | ||||
\(615\) | −11.8567 | − | 28.1752i | −0.478107 | − | 1.13613i | ||||
\(616\) | 3.81671 | − | 3.81671i | 0.153780 | − | 0.153780i | ||||
\(617\) | 11.9962 | − | 44.7703i | 0.482948 | − | 1.80239i | −0.106182 | − | 0.994347i | \(-0.533862\pi\) |
0.589129 | − | 0.808039i | \(-0.299471\pi\) | |||||||
\(618\) | 7.08351 | − | 17.3769i | 0.284941 | − | 0.699002i | ||||
\(619\) | −7.09633 | − | 7.09633i | −0.285226 | − | 0.285226i | 0.549963 | − | 0.835189i | \(-0.314642\pi\) |
−0.835189 | + | 0.549963i | \(0.814642\pi\) | |||||||
\(620\) | 5.64683 | − | 3.26020i | 0.226782 | − | 0.130933i | ||||
\(621\) | −25.7130 | − | 32.3641i | −1.03183 | − | 1.29873i | ||||
\(622\) | −6.13117 | + | 1.64284i | −0.245838 | + | 0.0658720i | ||||
\(623\) | 1.71848 | 0.0688495 | ||||||||
\(624\) | 6.18824 | − | 0.840064i | 0.247728 | − | 0.0336295i | ||||
\(625\) | 27.9333 | 1.11733 | ||||||||
\(626\) | 18.6379 | − | 4.99400i | 0.744918 | − | 0.199600i | ||||
\(627\) | 17.7441 | − | 23.3959i | 0.708632 | − | 0.934342i | ||||
\(628\) | 9.75987 | − | 5.63487i | 0.389461 | − | 0.224856i | ||||
\(629\) | −1.21165 | − | 1.21165i | −0.0483116 | − | 0.0483116i | ||||
\(630\) | −6.23110 | − | 3.50467i | −0.248253 | − | 0.139629i | ||||
\(631\) | 6.92849 | − | 25.8575i | 0.275819 | − | 1.02937i | −0.679472 | − | 0.733701i | \(-0.737791\pi\) |
0.955291 | − | 0.295668i | \(-0.0955422\pi\) | |||||||
\(632\) | 0.645067 | − | 0.645067i | 0.0256594 | − | 0.0256594i | ||||
\(633\) | −24.5530 | + | 10.3323i | −0.975892 | + | 0.410674i | ||||
\(634\) | 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 | ||||||
\(639\) | 46.2070 | − | 0.519808i | 1.82792 | − | 0.0205633i | ||||
\(640\) | 1.19151 | − | 2.06376i | 0.0470987 | − | 0.0815773i | ||||
\(641\) | 14.0090 | + | 24.2644i | 0.553324 | + | 0.958385i | 0.998032 | + | 0.0627092i | \(0.0199741\pi\) |
−0.444708 | + | 0.895676i | \(0.646693\pi\) | |||||||
\(642\) | 0.977399 | + | 1.25905i | 0.0385749 | + | 0.0496906i | ||||
\(643\) | 19.7840 | + | 5.30111i | 0.780206 | + | 0.209056i | 0.626875 | − | 0.779119i | \(-0.284333\pi\) |
0.153330 | + | 0.988175i | \(0.451000\pi\) | |||||||
\(644\) | 7.68390 | + | 2.05889i | 0.302788 | + | 0.0811318i | ||||
\(645\) | 11.4444 | + | 14.7422i | 0.450623 | + | 0.580474i | ||||
\(646\) | 0.493631 | + | 0.854994i | 0.0194217 | + | 0.0336393i | ||||
\(647\) | −8.36063 | + | 14.4810i | −0.328690 | + | 0.569308i | −0.982252 | − | 0.187565i | \(-0.939941\pi\) |
0.653562 | + | 0.756873i | \(0.273274\pi\) | |||||||
\(648\) | 2.13321 | − | 8.74353i | 0.0838006 | − | 0.343478i | ||||
\(649\) | 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 | 0.994738 | + | 0.102456i | \(0.0326702\pi\) |
0.586098 | + | 0.810240i | \(0.300663\pi\) | |||||||
\(654\) | −24.2241 | + | 10.1940i | −0.947238 | + | 0.398616i | ||||
\(655\) | 15.6052 | − | 15.6052i | 0.609745 | − | 0.609745i | ||||
\(656\) | −1.91681 | + | 7.15363i | −0.0748388 | + | 0.279302i | ||||
\(657\) | −21.6249 | + | 38.4479i | −0.843668 | + | 1.49999i | ||||
\(658\) | −1.31948 | − | 1.31948i | −0.0514388 | − | 0.0514388i | ||||
\(659\) | −3.91850 | + | 2.26235i | −0.152643 | + | 0.0881285i | −0.574376 | − | 0.818592i | \(-0.694755\pi\) |
0.421733 | + | 0.906720i | \(0.361422\pi\) | |||||||
\(660\) | −13.4629 | + | 17.7510i | −0.524043 | + | 0.690958i | ||||
\(661\) | −5.63401 | + | 1.50963i | −0.219138 | + | 0.0587178i | −0.366717 | − | 0.930332i | \(-0.619518\pi\) |
0.147580 | + | 0.989050i | \(0.452852\pi\) | |||||||
\(662\) | −18.8694 | −0.733378 | ||||||||
\(663\) | 0.743898 | − | 1.81659i | 0.0288906 | − | 0.0705503i | ||||
\(664\) | −10.9116 | −0.423452 | ||||||||
\(665\) | 7.22965 | − | 1.93718i | 0.280354 | − | 0.0751205i | ||||
\(666\) | −11.6934 | − | 11.4332i | −0.453110 | − | 0.443029i | ||||
\(667\) | 71.5909 | − | 41.3330i | 2.77201 | − | 1.60042i | ||||
\(668\) | 11.8756 | + | 11.8756i | 0.459483 | + | 0.459483i | ||||
\(669\) | 7.57454 | − | 18.5815i | 0.292849 | − | 0.718402i | ||||
\(670\) | −0.860057 | + | 3.20978i | −0.0332269 | + | 0.124005i | ||||
\(671\) | 7.63539 | − | 7.63539i | 0.294761 | − | 0.294761i | ||||
\(672\) | 0.671817 | + | 1.59645i | 0.0259159 | + | 0.0615845i | ||||
\(673\) | −17.4292 | − | 10.0628i | −0.671847 | − | 0.387891i | 0.124929 | − | 0.992166i | \(-0.460130\pi\) |
−0.796776 | + | 0.604275i | \(0.793463\pi\) | |||||||
\(674\) | 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 | \(-0.0973663\pi\) | |||||||
\(678\) | 5.94952 | − | 0.817338i | 0.228490 | − | 0.0313897i | ||||
\(679\) | −5.47764 | + | 9.48755i | −0.210212 | + | 0.364099i | ||||
\(680\) | −0.374530 | − | 0.648705i | −0.0143626 | − | 0.0248767i | ||||
\(681\) | −4.80372 | + | 3.72914i | −0.184079 | + | 0.142901i | ||||
\(682\) | 14.2657 | + | 3.82249i | 0.546262 | + | 0.146371i | ||||
\(683\) | 10.0052 | + | 2.68088i | 0.382838 | + | 0.102581i | 0.445105 | − | 0.895478i | \(-0.353166\pi\) |
−0.0622669 | + | 0.998060i | \(0.519833\pi\) | |||||||
\(684\) | 4.80274 | + | 8.10661i | 0.183637 | + | 0.309964i | ||||
\(685\) | 5.09363 | + | 8.82243i | 0.194618 | + | 0.337088i | ||||
\(686\) | −0.500000 | + | 0.866025i | −0.0190901 | + | 0.0330650i | ||||
\(687\) | −5.46176 | − | 39.7569i | −0.208379 | − | 1.51682i | ||||
\(688\) | − | 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 | −0.962033 | − | 0.272934i | \(-0.912006\pi\) |
0.696678 | − | 0.717384i | \(-0.254661\pi\) | |||||||
\(692\) | −9.05569 | − | 5.22831i | −0.344246 | − | 0.198750i | ||||
\(693\) | −4.36672 | − | 15.5930i | −0.165878 | − | 0.592330i | ||||
\(694\) | 1.00999 | − | 1.00999i | 0.0383387 | − | 0.0383387i | ||||
\(695\) | 4.12978 | − | 15.4126i | 0.156652 | − | 0.584632i | ||||
\(696\) | 16.6675 | + | 6.79431i | 0.631778 | + | 0.257538i | ||||
\(697\) | 1.64610 | + | 1.64610i | 0.0623504 | + | 0.0623504i | ||||
\(698\) | 1.65948 | − | 0.958100i | 0.0628121 | − | 0.0362646i | ||||
\(699\) | 24.3025 | + | 18.4317i | 0.919204 | + | 0.697151i | ||||
\(700\) | −0.655683 | + | 0.175690i | −0.0247825 | + | 0.00664045i | ||||
\(701\) | 23.7687 | 0.897732 | 0.448866 | − | 0.893599i | \(-0.351828\pi\) | ||||
0.448866 | + | 0.893599i | \(0.351828\pi\) | |||||||
\(702\) | 6.90433 | − | 17.4164i | 0.260587 | − | 0.657339i | ||||
\(703\) | 17.1217 | 0.645759 | ||||||||
\(704\) | 5.21372 | − | 1.39701i | 0.196500 | − | 0.0526519i | ||||
\(705\) | 6.13675 | + | 4.65429i | 0.231123 | + | 0.175291i | ||||
\(706\) | 9.76714 | − | 5.63906i | 0.367591 | − | 0.212229i | ||||
\(707\) | −2.81731 | − | 2.81731i | −0.105956 | − | 0.105956i | ||||
\(708\) | −17.6361 | − | 7.18915i | −0.662803 | − | 0.270185i | ||||
\(709\) | 4.49421 | − | 16.7726i | 0.168783 | − | 0.629908i | −0.828744 | − | 0.559628i | \(-0.810944\pi\) |
0.997527 | − | 0.0702802i | \(-0.0223893\pi\) | |||||||
\(710\) | 25.9554 | − | 25.9554i | 0.974090 | − | 0.974090i | ||||
\(711\) | −0.738025 | − | 2.63540i | −0.0276781 | − | 0.0988352i | ||||
\(712\) | 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 | ||||||
\(717\) | −1.51629 | − | 11.0373i | −0.0566269 | − | 0.412195i | ||||
\(718\) | −5.25108 | + | 9.09513i | −0.195968 | + | 0.339427i | ||||
\(719\) | 12.1046 | + | 20.9657i | 0.451424 | + | 0.781889i | 0.998475 | − | 0.0552105i | \(-0.0175830\pi\) |
−0.547051 | + | 0.837099i | \(0.684250\pi\) | |||||||
\(720\) | −3.64396 | − | 6.15068i | −0.135802 | − | 0.229222i | ||||
\(721\) | 10.4649 | + | 2.80407i | 0.389735 | + | 0.104429i | ||||
\(722\) | 8.82391 | + | 2.36436i | 0.328392 | + | 0.0879923i | ||||
\(723\) | 10.7140 | − | 8.31732i | 0.398459 | − | 0.309324i | ||||
\(724\) | −2.96556 | − | 5.13650i | −0.110214 | − | 0.190897i | ||||
\(725\) | −3.52703 | + | 6.10900i | −0.130991 | + | 0.226883i | ||||
\(726\) | −31.1177 | + | 4.27491i | −1.15489 | + | 0.158657i | ||||
\(727\) | − | 16.2953i | − | 0.604359i | −0.953251 | − | 0.302180i | \(-0.902286\pi\) | ||
0.953251 | − | 0.302180i | \(-0.0977143\pi\) | |||||||
\(728\) | 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 | ||||
\(732\) | 1.34398 | + | 3.19373i | 0.0496750 | + | 0.118044i | ||||
\(733\) | −13.4669 | + | 13.4669i | −0.497412 | + | 0.497412i | −0.910631 | − | 0.413220i | \(-0.864404\pi\) |
0.413220 | + | 0.910631i | \(0.364404\pi\) | |||||||
\(734\) | −1.05189 | + | 3.92570i | −0.0388259 | + | 0.144900i | ||||
\(735\) | 1.55806 | − | 3.82216i | 0.0574700 | − | 0.140982i | ||||
\(736\) | 5.62500 | + | 5.62500i | 0.207340 | + | 0.207340i | ||||
\(737\) | −6.51834 | + | 3.76337i | −0.240106 | + | 0.138625i | ||||
\(738\) | 15.8862 | + | 15.5327i | 0.584779 | + | 0.571768i | ||||
\(739\) | 17.4861 | − | 4.68539i | 0.643237 | − | 0.172355i | 0.0775678 | − | 0.996987i | \(-0.475285\pi\) |
0.565669 | + | 0.824632i | \(0.308618\pi\) | |||||||
\(740\) | −12.9907 | −0.477547 | ||||||||
\(741\) | 7.57906 | + | 18.0910i | 0.278424 | + | 0.664591i | ||||
\(742\) | 13.4414 | 0.493448 | ||||||||
\(743\) | 18.3442 | − | 4.91530i | 0.672982 | − | 0.180325i | 0.0938844 | − | 0.995583i | \(-0.470072\pi\) |
0.579098 | + | 0.815258i | \(0.303405\pi\) | |||||||
\(744\) | −2.86386 | + | 3.77604i | −0.104994 | + | 0.138436i | ||||
\(745\) | −14.0949 | + | 8.13770i | −0.516397 | + | 0.298142i | ||||
\(746\) | 12.0376 | + | 12.0376i | 0.440726 | + | 0.440726i | ||||
\(747\) | −16.0475 | + | 28.5315i | −0.587146 | + | 1.04391i | ||||
\(748\) | 0.439125 | − | 1.63884i | 0.0160560 | − | 0.0599218i | ||||
\(749\) | −0.650705 | + | 0.650705i | −0.0237763 | + | 0.0237763i | ||||
\(750\) | −16.4395 | + | 6.91804i | −0.600285 | + | 0.252611i | ||||
\(751\) | 44.4408 | + | 25.6579i | 1.62167 | + | 0.936270i | 0.986474 | + | 0.163915i | \(0.0524123\pi\) |
0.635192 | + | 0.772354i | \(0.280921\pi\) | |||||||
\(752\) | −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 | ||||||
\(756\) | 5.16241 | + | 0.591214i | 0.187755 | + | 0.0215022i | ||||
\(757\) | 2.39348 | − | 4.14563i | 0.0869925 | − | 0.150675i | −0.819246 | − | 0.573442i | \(-0.805608\pi\) |
0.906239 | + | 0.422767i | \(0.138941\pi\) | |||||||
\(758\) | 1.58645 | + | 2.74781i | 0.0576224 | + | 0.0998049i | ||||
\(759\) | −45.6052 | − | 58.7467i | −1.65536 | − | 2.13237i | ||||
\(760\) | 7.22965 | + | 1.93718i | 0.262247 | + | 0.0702688i | ||||
\(761\) | 34.2877 | + | 9.18737i | 1.24293 | + | 0.333042i | 0.819601 | − | 0.572935i | \(-0.194195\pi\) |
0.423328 | + | 0.905976i | \(0.360862\pi\) | |||||||
\(762\) | −7.59154 | − | 9.77911i | −0.275013 | − | 0.354260i | ||||
\(763\) | −7.58686 | − | 13.1408i | −0.274663 | − | 0.475730i | ||||
\(764\) | 4.01102 | − | 6.94728i | 0.145113 | − | 0.251344i | ||||
\(765\) | −2.24704 | + | 0.0252782i | −0.0812418 | + | 0.000913934i | ||||
\(766\) | 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 | 0.955588 | − | 0.294705i | \(-0.0952214\pi\) |
−0.974916 | + | 0.222572i | \(0.928555\pi\) | |||||||
\(770\) | −11.1394 | − | 6.43136i | −0.401438 | − | 0.231770i | ||||
\(771\) | 8.00453 | − | 3.36845i | 0.288276 | − | 0.121312i | ||||
\(772\) | −8.11988 | + | 8.11988i | −0.292241 | + | 0.292241i | ||||
\(773\) | −8.53659 | + | 31.8590i | −0.307040 | + | 1.14589i | 0.624135 | + | 0.781316i | \(0.285451\pi\) |
−0.931175 | + | 0.364572i | \(0.881215\pi\) | |||||||
\(774\) | −11.8230 | − | 6.64983i | −0.424969 | − | 0.239023i | ||||
\(775\) | −1.31335 | − | 1.31335i | −0.0471770 | − | 0.0471770i | ||||
\(776\) | −9.48755 | + | 5.47764i | −0.340583 | + | 0.196636i | ||||
\(777\) | 5.70570 | − | 7.52305i | 0.204691 | − | 0.269888i | ||||
\(778\) | −19.2200 | + | 5.14997i | −0.689069 | + | 0.184636i | ||||
\(779\) | −23.2609 | −0.833409 | ||||||||
\(780\) | −5.75042 | − | 13.7261i | −0.205898 | − | 0.491474i | ||||
\(781\) | 83.1416 | 2.97504 | ||||||||
\(782\) | 2.41529 | − | 0.647175i | 0.0863706 | − | 0.0231429i | ||||
\(783\) | 42.2781 | − | 33.5896i | 1.51090 | − | 1.20039i | ||||
\(784\) | −0.866025 | + | 0.500000i | −0.0309295 | + | 0.0178571i | ||||
\(785\) | −18.9901 | − | 18.9901i | −0.677786 | − | 0.677786i | ||||
\(786\) | −6.05496 | + | 14.8537i | −0.215973 | + | 0.529814i | ||||
\(787\) | 8.91489 | − | 33.2708i | 0.317782 | − | 1.18598i | −0.603590 | − | 0.797295i | \(-0.706264\pi\) |
0.921372 | − | 0.388682i | \(-0.127070\pi\) | |||||||
\(788\) | −3.69889 | + | 3.69889i | −0.131767 | + | 0.131767i | ||||
\(789\) | 6.92430 | + | 16.4544i | 0.246512 | + | 0.585791i | ||||
\(790\) | −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 | ||||||||
\(795\) | −54.9633 | + | 7.55080i | −1.94935 | + | 0.267799i | ||||
\(796\) | −5.43414 | + | 9.41221i | −0.192608 | + | 0.333607i | ||||
\(797\) | −4.46685 | − | 7.73681i | −0.158224 | − | 0.274052i | 0.776004 | − | 0.630728i | \(-0.217243\pi\) |
−0.934228 | + | 0.356676i | \(0.883910\pi\) | |||||||
\(798\) | −4.29721 | + | 3.33593i | −0.152120 | + | 0.118091i | ||||
\(799\) | −0.566566 | − | 0.151811i | −0.0200437 | − | 0.00537068i | ||||
\(800\) | −0.655683 | − | 0.175690i | −0.0231819 | − | 0.00621157i | ||||
\(801\) | 4.43547 | − | 2.62778i | 0.156719 | − | 0.0928481i | ||||
\(802\) | −0.185949 | − | 0.322073i | −0.00656609 | − | 0.0113728i | ||||
\(803\) | −39.6835 | + | 68.7339i | −1.40040 | + | 2.42557i | ||||
\(804\) | −0.328717 | − | 2.39278i | −0.0115930 | − | 0.0843869i | ||||
\(805\) | − | 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 | \(-0.247744\pi\) |
−0.251967 | + | 0.967736i | \(0.581077\pi\) | |||||||
\(810\) | −21.4418 | + | 0.482482i | −0.753388 | + | 0.0169527i | ||||
\(811\) | −21.0190 | + | 21.0190i | −0.738076 | + | 0.738076i | −0.972205 | − | 0.234129i | \(-0.924776\pi\) |
0.234129 | + | 0.972205i | \(0.424776\pi\) | |||||||
\(812\) | −2.68959 | + | 10.0377i | −0.0943860 | + | 0.352253i | ||||
\(813\) | −40.8847 | − | 16.6662i | −1.43389 | − | 0.584510i | ||||
\(814\) | −20.8062 | − | 20.8062i | −0.729257 | − | 0.729257i | ||||
\(815\) | 41.8179 | − | 24.1436i | 1.46482 | − | 0.845713i | ||||
\(816\) | 0.433789 | + | 0.328998i | 0.0151857 | + | 0.0115172i | ||||
\(817\) | 13.7177 | − | 3.67564i | 0.479921 | − | 0.128594i | ||||
\(818\) | −7.32235 | −0.256020 | ||||||||
\(819\) | 10.4746 | + | 2.69858i | 0.366013 | + | 0.0942962i | ||||
\(820\) | 17.6486 | 0.616317 | ||||||||
\(821\) | −18.3654 | + | 4.92099i | −0.640956 | + | 0.171744i | −0.564636 | − | 0.825340i | \(-0.690984\pi\) |
−0.0763195 | + | 0.997083i | \(0.524317\pi\) | |||||||
\(822\) | −5.89956 | − | 4.47440i | −0.205771 | − | 0.156063i | ||||
\(823\) | 23.3797 | − | 13.4983i | 0.814966 | − | 0.470521i | −0.0337117 | − | 0.999432i | \(-0.510733\pi\) |
0.848677 | + | 0.528911i | \(0.177399\pi\) | |||||||
\(824\) | 7.66086 | + | 7.66086i | 0.266879 | + | 0.266879i | ||||
\(825\) | 5.87671 | + | 2.39558i | 0.204601 | + | 0.0834033i | ||||
\(826\) | 2.84589 | − | 10.6210i | 0.0990211 | − | 0.369552i | ||||
\(827\) | −23.7729 | + | 23.7729i | −0.826664 | + | 0.826664i | −0.987054 | − | 0.160390i | \(-0.948725\pi\) |
0.160390 | + | 0.987054i | \(0.448725\pi\) | |||||||
\(828\) | 22.9807 | − | 6.43560i | 0.798636 | − | 0.223652i | ||||
\(829\) | −32.2116 | − | 18.5974i | −1.11876 | − | 0.645914i | −0.177673 | − | 0.984090i | \(-0.556857\pi\) |
−0.941083 | + | 0.338176i | \(0.890190\pi\) | |||||||
\(830\) | 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 | ||||||||
\(834\) | 1.57842 | + | 11.4895i | 0.0546562 | + | 0.397850i | ||||
\(835\) | 20.0111 | − | 34.6603i | 0.692513 | − | 1.19947i | ||||
\(836\) | 8.47654 | + | 14.6818i | 0.293167 | + | 0.507781i | ||||
\(837\) | 5.66171 | + | 13.0417i | 0.195697 | + | 0.450787i | ||||
\(838\) | 6.75431 | + | 1.80981i | 0.233324 | + | 0.0625189i | ||||
\(839\) | −33.8229 | − | 9.06283i | −1.16770 | − | 0.312884i | −0.377661 | − | 0.925944i | \(-0.623272\pi\) |
−0.790036 | + | 0.613060i | \(0.789938\pi\) | |||||||
\(840\) | 3.26040 | − | 2.53105i | 0.112494 | − | 0.0873297i | ||||
\(841\) | 39.4944 | + | 68.4064i | 1.36188 | + | 2.35884i | ||||
\(842\) | 12.4668 | − | 21.5931i | 0.429634 | − | 0.744147i | ||||
\(843\) | 44.2760 | − | 6.08258i | 1.52495 | − | 0.209495i | ||||
\(844\) | − | 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 | ||||
\(849\) | −9.74700 | − | 23.1620i | −0.334516 | − | 0.794918i | ||||
\(850\) | −0.150877 | + | 0.150877i | −0.00517504 | + | 0.00517504i | ||||
\(851\) | 11.2237 | − | 41.8876i | 0.384745 | − | 1.43589i | ||||
\(852\) | −10.0709 | + | 24.7055i | −0.345025 | + | 0.846397i | ||||
\(853\) | 33.0168 | + | 33.0168i | 1.13047 | + | 1.13047i | 0.990098 | + | 0.140376i | \(0.0448312\pi\) |
0.140376 | + | 0.990098i | \(0.455169\pi\) | |||||||
\(854\) | −1.73250 | + | 1.00026i | −0.0592849 | + | 0.0342281i | ||||
\(855\) | 15.6978 | − | 16.0550i | 0.536853 | − | 0.549070i | ||||
\(856\) | −0.888880 | + | 0.238175i | −0.0303813 | + | 0.00814064i | ||||
\(857\) | 6.18194 | 0.211171 | 0.105586 | − | 0.994410i | \(-0.466328\pi\) | ||||
0.105586 | + | 0.994410i | \(0.466328\pi\) | |||||||
\(858\) | 12.7741 | − | 31.1941i | 0.436100 | − | 1.06495i | ||||
\(859\) | −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 | ||||
\(861\) | −7.75154 | + | 10.2205i | −0.264172 | + | 0.348315i | ||||
\(862\) | −8.20176 | + | 4.73529i | −0.279353 | + | 0.161285i | ||||
\(863\) | 10.1579 | + | 10.1579i | 0.345778 | + | 0.345778i | 0.858534 | − | 0.512756i | \(-0.171376\pi\) |
−0.512756 | + | 0.858534i | \(0.671376\pi\) | |||||||
\(864\) | 4.17517 | + | 3.09321i | 0.142042 | + | 0.105233i | ||||
\(865\) | −6.44935 | + | 24.0693i | −0.219285 | + | 0.818381i | ||||
\(866\) | 12.4886 | − | 12.4886i | 0.424379 | − | 0.424379i | ||||
\(867\) | −26.9820 | + | 11.3545i | −0.916356 | + | 0.385619i | ||||
\(868\) | −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 | ||||||
\(873\) | 0.369702 | + | 32.8637i | 0.0125125 | + | 1.11227i | ||||
\(874\) | −12.4926 | + | 21.6378i | −0.422568 | + | 0.731909i | ||||
\(875\) | −5.14875 | − | 8.91790i | −0.174060 | − | 0.301480i | ||||
\(876\) | −15.6174 | − | 20.1177i | −0.527663 | − | 0.679714i | ||||
\(877\) | −8.10852 | − | 2.17267i | −0.273805 | − | 0.0733659i | 0.119304 | − | 0.992858i | \(-0.461934\pi\) |
−0.393109 | + | 0.919492i | \(0.628600\pi\) | |||||||
\(878\) | −19.1219 | − | 5.12369i | −0.645332 | − | 0.172916i | ||||
\(879\) | 15.0469 | + | 19.3827i | 0.507518 | + | 0.653764i | ||||
\(880\) | −6.43136 | − | 11.1394i | −0.216801 | − | 0.375511i | ||||
\(881\) | 24.6336 | − | 42.6666i | 0.829925 | − | 1.43747i | −0.0681706 | − | 0.997674i | \(-0.521716\pi\) |
0.898096 | − | 0.439799i | \(-0.144950\pi\) | |||||||
\(882\) | 0.0337465 | + | 2.99981i | 0.00113630 | + | 0.101009i | ||||
\(883\) | − | 19.2589i | − | 0.648115i | −0.946037 | − | 0.324058i | \(-0.894953\pi\) | ||
0.946037 | − | 0.324058i | \(-0.105047\pi\) | |||||||
\(884\) | 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 | \(-0.198815\pi\) |
−0.100824 | + | 0.994904i | \(0.532148\pi\) | |||||||
\(888\) | 8.70281 | − | 3.66230i | 0.292047 | − | 0.122899i | ||||
\(889\) | 5.05408 | − | 5.05408i | 0.169508 | − | 0.169508i | ||||
\(890\) | 1.05991 | − | 3.95564i | 0.0355283 | − | 0.132594i | ||||
\(891\) | −35.1145 | − | 33.5689i | −1.17638 | − | 1.12460i | ||||
\(892\) | 8.19192 | + | 8.19192i | 0.274286 | + | 0.274286i | ||||
\(893\) | 5.07568 | − | 2.93044i | 0.169851 | − | 0.0980636i | ||||
\(894\) | 7.14840 | − | 9.42526i | 0.239078 | − | 0.315228i | ||||
\(895\) | −32.5274 | + | 8.71570i | −1.08727 | + | 0.291334i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | 49.2272 | − | 6.68267i | 1.64365 | − | 0.223128i | ||||
\(898\) | −6.64629 | −0.221790 | ||||||||
\(899\) | −27.4649 | + | 7.35921i | −0.916007 | + | 0.245443i | ||||
\(900\) | −1.42369 | + | 1.45609i | −0.0474564 | + | 0.0485362i | ||||
\(901\) | 3.65900 | − | 2.11252i | 0.121899 | − | 0.0703783i | ||||
\(902\) | 28.2665 | + | 28.2665i | 0.941171 | + | 0.941171i | ||||
\(903\) | 2.95630 | − | 7.25224i | 0.0983794 | − | 0.241339i | ||||
\(904\) | −0.897382 | + | 3.34908i | −0.0298465 | + | 0.111389i | ||||
\(905\) | −9.99426 | + | 9.99426i | −0.332220 | + | 0.332220i | ||||
\(906\) | 1.77537 | + | 4.21885i | 0.0589827 | + | 0.140162i | ||||
\(907\) | −25.9337 | − | 14.9728i | −0.861115 | − | 0.497165i | 0.00327049 | − | 0.999995i | \(-0.498959\pi\) |
−0.864386 | + | 0.502830i | \(0.832292\pi\) | |||||||
\(908\) | −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 | \(0.913481\pi\) | |||||||
\(912\) | −5.38946 | + | 0.740398i | −0.178463 | + | 0.0245170i | ||||
\(913\) | −29.4485 | + | 51.0062i | −0.974602 | + | 1.68806i | ||||
\(914\) | 7.24947 | + | 12.5565i | 0.239791 | + | 0.415331i | ||||
\(915\) | 6.52248 | − | 5.06342i | 0.215627 | − | 0.167391i | ||||
\(916\) | 22.3798 | + | 5.99665i | 0.739449 | + | 0.198135i | ||||
\(917\) | −8.94539 | − | 2.39691i | −0.295403 | − | 0.0791529i | ||||
\(918\) | 1.49822 | − | 0.650414i | 0.0494488 | − | 0.0214669i | ||||
\(919\) | 15.2431 | + | 26.4019i | 0.502825 | + | 0.870918i | 0.999995 | + | 0.00326484i | \(0.00103923\pi\) |
−0.497170 | + | 0.867653i | \(0.665627\pi\) | |||||||
\(920\) | 9.47843 | − | 16.4171i | 0.312495 | − | 0.541257i | ||||
\(921\) | 3.45438 | + | 25.1449i | 0.113826 | + | 0.828553i | ||||
\(922\) | − | 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 | ||||
\(927\) | 31.2982 | − | 8.76484i | 1.02797 | − | 0.287875i | ||||
\(928\) | −7.34809 | + | 7.34809i | −0.241213 | + | 0.241213i | ||||
\(929\) | 10.7916 | − | 40.2748i | 0.354061 | − | 1.32137i | −0.527601 | − | 0.849492i | \(-0.676909\pi\) |
0.881662 | − | 0.471881i | \(-0.156425\pi\) | |||||||
\(930\) | 10.4581 | + | 4.26314i | 0.342936 | + | 0.139794i | ||||
\(931\) | −2.22090 | − | 2.22090i | −0.0727872 | − | 0.0727872i | ||||
\(932\) | −15.2507 | + | 8.80500i | −0.499554 | + | 0.288417i | ||||
\(933\) | −8.75973 | − | 6.64363i | −0.286781 | − | 0.217503i | ||||
\(934\) | −2.27088 | + | 0.608481i | −0.0743055 | + | 0.0199101i | ||||
\(935\) | −4.04316 | −0.132225 | ||||||||
\(936\) | 7.72199 | + | 7.57435i | 0.252401 | + | 0.247575i | ||||
\(937\) | 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 | ||||
\(939\) | 26.6283 | + | 20.1957i | 0.868981 | + | 0.659060i | ||||
\(940\) | −3.85104 | + | 2.22340i | −0.125607 | + | 0.0725193i | ||||
\(941\) | −36.2352 | − | 36.2352i | −1.18123 | − | 1.18123i | −0.979425 | − | 0.201809i | \(-0.935318\pi\) |
−0.201809 | − | 0.979425i | \(-0.564682\pi\) | |||||||
\(942\) | 18.0756 | + | 7.36833i | 0.588936 | + | 0.240073i | ||||
\(943\) | −15.2481 | + | 56.9068i | −0.496547 | + | 1.85314i | ||||
\(944\) | 7.77511 | − | 7.77511i | 0.253058 | − | 0.253058i | ||||
\(945\) | −1.82316 | − | 12.2476i | −0.0593074 | − | 0.398415i | ||||
\(946\) | −21.1362 | − | 12.2030i | −0.687197 | − | 0.396754i | ||||
\(947\) | 4.36413 | + | 16.2871i | 0.141815 | + | 0.529261i | 0.999877 | + | 0.0157140i | \(0.00500213\pi\) |
−0.858061 | + | 0.513547i | \(0.828331\pi\) | |||||||
\(948\) | 1.56770 | + | 0.197428i | 0.0509166 | + | 0.00641217i | ||||
\(949\) | −26.4347 | − | 45.9556i | −0.858106 | − | 1.49178i | ||||
\(950\) | − | 2.13204i | − | 0.0691724i | ||||||
\(951\) | 6.42770 | + | 46.7881i | 0.208432 | + | 1.51721i | ||||
\(952\) | −0.157166 | + | 0.272219i | −0.00509377 | + | 0.00882267i | ||||
\(953\) | 9.36666 | + | 16.2235i | 0.303416 | + | 0.525531i | 0.976907 | − | 0.213663i | \(-0.0685396\pi\) |
−0.673492 | + | 0.739195i | \(0.735206\pi\) | |||||||
\(954\) | 34.6927 | − | 20.5536i | 1.12322 | − | 0.665448i | ||||
\(955\) | −18.4653 | − | 4.94777i | −0.597524 | − | 0.160106i | ||||
\(956\) | 6.21306 | + | 1.66478i | 0.200945 | + | 0.0538430i | ||||
\(957\) | 76.7424 | − | 59.5753i | 2.48073 | − | 1.92580i | ||||
\(958\) | 12.2548 | + | 21.2259i | 0.395933 | + | 0.685776i | ||||
\(959\) | 2.13746 | − | 3.70220i | 0.0690223 | − | 0.119550i | ||||
\(960\) | 4.08912 | − | 0.561758i | 0.131976 | − | 0.0181307i | ||||
\(961\) | 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 | ||||
\(966\) | 5.34427 | + | 12.6997i | 0.171949 | + | 0.408606i | ||||
\(967\) | 20.0618 | − | 20.0618i | 0.645145 | − | 0.645145i | −0.306670 | − | 0.951816i | \(-0.599215\pi\) |
0.951816 | + | 0.306670i | \(0.0992149\pi\) | |||||||
\(968\) | 4.69357 | − | 17.5166i | 0.150857 | − | 0.563006i | ||||
\(969\) | −0.645488 | + | 1.58348i | −0.0207361 | + | 0.0508687i | ||||
\(970\) | 18.4602 | + | 18.4602i | 0.592722 | + | 0.592722i | ||||
\(971\) | 36.7628 | − | 21.2250i | 1.17977 | − | 0.681143i | 0.223812 | − | 0.974632i | \(-0.428150\pi\) |
0.955962 | + | 0.293489i | \(0.0948165\pi\) | |||||||
\(972\) | 14.2284 | − | 6.36805i | 0.456377 | − | 0.204255i | ||||
\(973\) | −6.46764 | + | 1.73300i | −0.207343 | + | 0.0555574i | ||||
\(974\) | 29.3657 | 0.940937 | ||||||||
\(975\) | −3.35275 | + | 2.59418i | −0.107374 | + | 0.0830801i | ||||
\(976\) | −2.00052 | −0.0640350 | ||||||||
\(977\) | −44.3962 | + | 11.8959i | −1.42036 | + | 0.380584i | −0.885611 | − | 0.464427i | \(-0.846260\pi\) |
−0.534748 | + | 0.845011i | \(0.679594\pi\) | |||||||
\(978\) | −21.2084 | + | 27.9636i | −0.678171 | + | 0.894179i | ||||
\(979\) | 8.03303 | − | 4.63787i | 0.256737 | − | 0.148227i | ||||
\(980\) | 1.68505 | + | 1.68505i | 0.0538271 | + | 0.0538271i | ||||
\(981\) | −39.6760 | − | 22.3157i | −1.26676 | − | 0.712485i | ||||
\(982\) | −1.05337 | + | 3.93122i | −0.0336143 | + | 0.125450i | ||||
\(983\) | −19.4241 | + | 19.4241i | −0.619534 | + | 0.619534i | −0.945412 | − | 0.325878i | \(-0.894340\pi\) |
0.325878 | + | 0.945412i | \(0.394340\pi\) | |||||||
\(984\) | −11.8233 | + | 4.97546i | −0.376913 | + | 0.158612i | ||||
\(985\) | 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 | ||||||
\(990\) | −38.5857 | + | 0.434072i | −1.22633 | + | 0.0137957i | ||||
\(991\) | 2.01935 | − | 3.49762i | 0.0641468 | − | 0.111105i | −0.832168 | − | 0.554523i | \(-0.812901\pi\) |
0.896315 | + | 0.443417i | \(0.146234\pi\) | |||||||
\(992\) | −1.36809 | − | 2.36961i | −0.0434370 | − | 0.0752351i | ||||
\(993\) | −20.0415 | − | 25.8166i | −0.635997 | − | 0.819265i | ||||
\(994\) | −14.8785 | − | 3.98667i | −0.471916 | − | 0.126450i | ||||
\(995\) | 25.0169 | + | 6.70326i | 0.793089 | + | 0.212508i | ||||
\(996\) | −11.5894 | − | 14.9290i | −0.367224 | − | 0.473043i | ||||
\(997\) | −1.06748 | − | 1.84893i | −0.0338074 | − | 0.0585561i | 0.848627 | − | 0.528992i | \(-0.177430\pi\) |
−0.882434 | + | 0.470436i | \(0.844097\pi\) | |||||||
\(998\) | −2.81954 | + | 4.88358i | −0.0892509 | + | 0.154587i | ||||
\(999\) | 3.22291 | − | 28.1421i | 0.101968 | − | 0.890375i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bu.b.71.2 | yes | 56 | |
3.2 | odd | 2 | 546.2.bu.a.71.14 | ✓ | 56 | ||
13.11 | odd | 12 | 546.2.bu.a.323.14 | yes | 56 | ||
39.11 | even | 12 | inner | 546.2.bu.b.323.2 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bu.a.71.14 | ✓ | 56 | 3.2 | odd | 2 | ||
546.2.bu.a.323.14 | yes | 56 | 13.11 | odd | 12 | ||
546.2.bu.b.71.2 | yes | 56 | 1.1 | even | 1 | trivial | |
546.2.bu.b.323.2 | yes | 56 | 39.11 | even | 12 | inner |