Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(109,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.d (of order \(2\), degree \(1\), 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: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.839056.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} + 6x^{4} + 8x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 109.2 | ||
Root | \(-0.373087i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.109 |
Dual form | 120.2.d.b.109.1 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16170 | + | 0.806504i | −0.821447 | + | 0.570284i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0.699104 | − | 1.87383i | 0.349552 | − | 0.936917i | ||||
\(5\) | 1.86081 | + | 1.23992i | 0.832178 | + | 0.554509i | ||||
\(6\) | 1.16170 | − | 0.806504i | 0.474263 | − | 0.329254i | ||||
\(7\) | 0.746175i | 0.282028i | 0.990008 | + | 0.141014i | \(0.0450362\pi\) | ||||
−0.990008 | + | 0.141014i | \(0.954964\pi\) | |||||||
\(8\) | 0.699104 | + | 2.74067i | 0.247170 | + | 0.968972i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −3.16170 | + | 0.0603290i | −0.999818 | + | 0.0190777i | ||||
\(11\) | 5.36068i | 1.61630i | 0.588974 | + | 0.808152i | \(0.299532\pi\) | ||||
−0.588974 | + | 0.808152i | \(0.700468\pi\) | |||||||
\(12\) | −0.699104 | + | 1.87383i | −0.201814 | + | 0.540929i | ||||
\(13\) | 2.92520 | 0.811304 | 0.405652 | − | 0.914028i | \(-0.367045\pi\) | ||||
0.405652 | + | 0.914028i | \(0.367045\pi\) | |||||||
\(14\) | −0.601793 | − | 0.866833i | −0.160836 | − | 0.231671i | ||||
\(15\) | −1.86081 | − | 1.23992i | −0.480458 | − | 0.320146i | ||||
\(16\) | −3.02251 | − | 2.62001i | −0.755627 | − | 0.655002i | ||||
\(17\) | 2.13466i | 0.517731i | 0.965913 | + | 0.258866i | \(0.0833487\pi\) | ||||
−0.965913 | + | 0.258866i | \(0.916651\pi\) | |||||||
\(18\) | −1.16170 | + | 0.806504i | −0.273816 | + | 0.190095i | ||||
\(19\) | − | 1.73367i | − | 0.397730i | −0.980027 | − | 0.198865i | \(-0.936274\pi\) | ||
0.980027 | − | 0.198865i | \(-0.0637255\pi\) | |||||||
\(20\) | 3.62430 | − | 2.62001i | 0.810418 | − | 0.585852i | ||||
\(21\) | − | 0.746175i | − | 0.162829i | ||||||
\(22\) | −4.32340 | − | 6.22751i | −0.921753 | − | 1.32771i | ||||
\(23\) | − | 7.49534i | − | 1.56289i | −0.623977 | − | 0.781443i | \(-0.714484\pi\) | ||
0.623977 | − | 0.781443i | \(-0.285516\pi\) | |||||||
\(24\) | −0.699104 | − | 2.74067i | −0.142704 | − | 0.559436i | ||||
\(25\) | 1.92520 | + | 4.61450i | 0.385039 | + | 0.922900i | ||||
\(26\) | −3.39821 | + | 2.35918i | −0.666443 | + | 0.462674i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 1.39821 | + | 0.521653i | 0.264236 | + | 0.0985832i | ||||
\(29\) | − | 6.74916i | − | 1.25329i | −0.779306 | − | 0.626644i | \(-0.784428\pi\) | ||
0.779306 | − | 0.626644i | \(-0.215572\pi\) | |||||||
\(30\) | 3.16170 | − | 0.0603290i | 0.577245 | − | 0.0110145i | ||||
\(31\) | 2.64681 | 0.475381 | 0.237690 | − | 0.971341i | \(-0.423610\pi\) | ||||
0.237690 | + | 0.971341i | \(0.423610\pi\) | |||||||
\(32\) | 5.62430 | + | 0.606006i | 0.994245 | + | 0.107128i | ||||
\(33\) | − | 5.36068i | − | 0.933174i | ||||||
\(34\) | −1.72161 | − | 2.47984i | −0.295254 | − | 0.425289i | ||||
\(35\) | −0.925197 | + | 1.38849i | −0.156387 | + | 0.234697i | ||||
\(36\) | 0.699104 | − | 1.87383i | 0.116517 | − | 0.312306i | ||||
\(37\) | 1.07480 | 0.176697 | 0.0883483 | − | 0.996090i | \(-0.471841\pi\) | ||||
0.0883483 | + | 0.996090i | \(0.471841\pi\) | |||||||
\(38\) | 1.39821 | + | 2.01400i | 0.226819 | + | 0.326714i | ||||
\(39\) | −2.92520 | −0.468406 | ||||||||
\(40\) | −2.09731 | + | 5.96668i | −0.331614 | + | 0.943415i | ||||
\(41\) | −11.2936 | −1.76377 | −0.881883 | − | 0.471468i | \(-0.843724\pi\) | ||||
−0.881883 | + | 0.471468i | \(0.843724\pi\) | |||||||
\(42\) | 0.601793 | + | 0.866833i | 0.0928586 | + | 0.133755i | ||||
\(43\) | −7.44322 | −1.13508 | −0.567540 | − | 0.823346i | \(-0.692105\pi\) | ||||
−0.567540 | + | 0.823346i | \(0.692105\pi\) | |||||||
\(44\) | 10.0450 | + | 3.74767i | 1.51434 | + | 0.564982i | ||||
\(45\) | 1.86081 | + | 1.23992i | 0.277393 | + | 0.184836i | ||||
\(46\) | 6.04502 | + | 8.70735i | 0.891289 | + | 1.28383i | ||||
\(47\) | 1.73367i | 0.252881i | 0.991974 | + | 0.126441i | \(0.0403553\pi\) | ||||
−0.991974 | + | 0.126441i | \(0.959645\pi\) | |||||||
\(48\) | 3.02251 | + | 2.62001i | 0.436261 | + | 0.378166i | ||||
\(49\) | 6.44322 | 0.920460 | ||||||||
\(50\) | −5.95812 | − | 3.80800i | −0.842605 | − | 0.538532i | ||||
\(51\) | − | 2.13466i | − | 0.298912i | ||||||
\(52\) | 2.04502 | − | 5.48133i | 0.283593 | − | 0.760124i | ||||
\(53\) | −7.72161 | −1.06064 | −0.530322 | − | 0.847796i | \(-0.677929\pi\) | ||||
−0.530322 | + | 0.847796i | \(0.677929\pi\) | |||||||
\(54\) | 1.16170 | − | 0.806504i | 0.158088 | − | 0.109751i | ||||
\(55\) | −6.64681 | + | 9.97518i | −0.896255 | + | 1.34505i | ||||
\(56\) | −2.04502 | + | 0.521653i | −0.273277 | + | 0.0697089i | ||||
\(57\) | 1.73367i | 0.229630i | ||||||||
\(58\) | 5.44322 | + | 7.84052i | 0.714730 | + | 1.02951i | ||||
\(59\) | − | 6.85302i | − | 0.892188i | −0.894986 | − | 0.446094i | \(-0.852815\pi\) | ||
0.894986 | − | 0.446094i | \(-0.147185\pi\) | |||||||
\(60\) | −3.62430 | + | 2.62001i | −0.467895 | + | 0.338242i | ||||
\(61\) | − | 6.45203i | − | 0.826098i | −0.910709 | − | 0.413049i | \(-0.864464\pi\) | ||
0.910709 | − | 0.413049i | \(-0.135536\pi\) | |||||||
\(62\) | −3.07480 | + | 2.13466i | −0.390500 | + | 0.271102i | ||||
\(63\) | 0.746175i | 0.0940092i | ||||||||
\(64\) | −7.02251 | + | 3.83202i | −0.877813 | + | 0.479003i | ||||
\(65\) | 5.44322 | + | 3.62701i | 0.675149 | + | 0.449875i | ||||
\(66\) | 4.32340 | + | 6.22751i | 0.532174 | + | 0.766553i | ||||
\(67\) | 7.44322 | 0.909334 | 0.454667 | − | 0.890661i | \(-0.349758\pi\) | ||||
0.454667 | + | 0.890661i | \(0.349758\pi\) | |||||||
\(68\) | 4.00000 | + | 1.49235i | 0.485071 | + | 0.180974i | ||||
\(69\) | 7.49534i | 0.902332i | ||||||||
\(70\) | −0.0450160 | − | 2.35918i | −0.00538044 | − | 0.281976i | ||||
\(71\) | 13.2936 | 1.57766 | 0.788831 | − | 0.614610i | \(-0.210687\pi\) | ||||
0.788831 | + | 0.614610i | \(0.210687\pi\) | |||||||
\(72\) | 0.699104 | + | 2.74067i | 0.0823902 | + | 0.322991i | ||||
\(73\) | 0.690358i | 0.0808003i | 0.999184 | + | 0.0404002i | \(0.0128633\pi\) | ||||
−0.999184 | + | 0.0404002i | \(0.987137\pi\) | |||||||
\(74\) | −1.24860 | + | 0.866833i | −0.145147 | + | 0.100767i | ||||
\(75\) | −1.92520 | − | 4.61450i | −0.222303 | − | 0.532837i | ||||
\(76\) | −3.24860 | − | 1.21201i | −0.372640 | − | 0.139027i | ||||
\(77\) | −4.00000 | −0.455842 | ||||||||
\(78\) | 3.39821 | − | 2.35918i | 0.384771 | − | 0.267125i | ||||
\(79\) | −2.64681 | −0.297789 | −0.148895 | − | 0.988853i | \(-0.547572\pi\) | ||||
−0.148895 | + | 0.988853i | \(0.547572\pi\) | |||||||
\(80\) | −2.37570 | − | 8.62300i | −0.265611 | − | 0.964080i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 13.1198 | − | 9.10834i | 1.44884 | − | 1.00585i | ||||
\(83\) | 5.85039 | 0.642164 | 0.321082 | − | 0.947051i | \(-0.395953\pi\) | ||||
0.321082 | + | 0.947051i | \(0.395953\pi\) | |||||||
\(84\) | −1.39821 | − | 0.521653i | −0.152557 | − | 0.0569171i | ||||
\(85\) | −2.64681 | + | 3.97219i | −0.287087 | + | 0.430844i | ||||
\(86\) | 8.64681 | − | 6.00299i | 0.932409 | − | 0.647319i | ||||
\(87\) | 6.74916i | 0.723586i | ||||||||
\(88\) | −14.6918 | + | 3.74767i | −1.56615 | + | 0.399503i | ||||
\(89\) | −7.59283 | −0.804838 | −0.402419 | − | 0.915456i | \(-0.631831\pi\) | ||||
−0.402419 | + | 0.915456i | \(0.631831\pi\) | |||||||
\(90\) | −3.16170 | + | 0.0603290i | −0.333273 | + | 0.00635924i | ||||
\(91\) | 2.18271i | 0.228810i | ||||||||
\(92\) | −14.0450 | − | 5.24002i | −1.46429 | − | 0.546310i | ||||
\(93\) | −2.64681 | −0.274461 | ||||||||
\(94\) | −1.39821 | − | 2.01400i | −0.144214 | − | 0.207729i | ||||
\(95\) | 2.14961 | − | 3.22601i | 0.220545 | − | 0.330982i | ||||
\(96\) | −5.62430 | − | 0.606006i | −0.574028 | − | 0.0618502i | ||||
\(97\) | − | 14.1887i | − | 1.44064i | −0.693641 | − | 0.720321i | \(-0.743994\pi\) | ||
0.693641 | − | 0.720321i | \(-0.256006\pi\) | |||||||
\(98\) | −7.48511 | + | 5.19648i | −0.756110 | + | 0.524924i | ||||
\(99\) | 5.36068i | 0.538768i | ||||||||
\(100\) | 9.99272 | − | 0.381485i | 0.999272 | − | 0.0381485i | ||||
\(101\) | − | 7.43952i | − | 0.740260i | −0.928980 | − | 0.370130i | \(-0.879313\pi\) | ||
0.928980 | − | 0.370130i | \(-0.120687\pi\) | |||||||
\(102\) | 1.72161 | + | 2.47984i | 0.170465 | + | 0.245541i | ||||
\(103\) | − | 7.19820i | − | 0.709260i | −0.935007 | − | 0.354630i | \(-0.884607\pi\) | ||
0.935007 | − | 0.354630i | \(-0.115393\pi\) | |||||||
\(104\) | 2.04502 | + | 8.01699i | 0.200530 | + | 0.786131i | ||||
\(105\) | 0.925197 | − | 1.38849i | 0.0902900 | − | 0.135502i | ||||
\(106\) | 8.97021 | − | 6.22751i | 0.871264 | − | 0.604869i | ||||
\(107\) | 4.00000 | 0.386695 | 0.193347 | − | 0.981130i | \(-0.438066\pi\) | ||||
0.193347 | + | 0.981130i | \(0.438066\pi\) | |||||||
\(108\) | −0.699104 | + | 1.87383i | −0.0672713 | + | 0.180310i | ||||
\(109\) | 19.9504i | 1.91090i | 0.295158 | + | 0.955449i | \(0.404628\pi\) | ||||
−0.295158 | + | 0.955449i | \(0.595372\pi\) | |||||||
\(110\) | −0.323404 | − | 16.9489i | −0.0308354 | − | 1.61601i | ||||
\(111\) | −1.07480 | −0.102016 | ||||||||
\(112\) | 1.95498 | − | 2.25532i | 0.184729 | − | 0.213108i | ||||
\(113\) | − | 12.0540i | − | 1.13395i | −0.823736 | − | 0.566973i | \(-0.808114\pi\) | ||
0.823736 | − | 0.566973i | \(-0.191886\pi\) | |||||||
\(114\) | −1.39821 | − | 2.01400i | −0.130954 | − | 0.188629i | ||||
\(115\) | 9.29362 | − | 13.9474i | 0.866634 | − | 1.30060i | ||||
\(116\) | −12.6468 | − | 4.71836i | −1.17423 | − | 0.438089i | ||||
\(117\) | 2.92520 | 0.270435 | ||||||||
\(118\) | 5.52699 | + | 7.96117i | 0.508801 | + | 0.732885i | ||||
\(119\) | −1.59283 | −0.146014 | ||||||||
\(120\) | 2.09731 | − | 5.96668i | 0.191457 | − | 0.544681i | ||||
\(121\) | −17.7368 | −1.61244 | ||||||||
\(122\) | 5.20359 | + | 7.49534i | 0.471110 | + | 0.678596i | ||||
\(123\) | 11.2936 | 1.01831 | ||||||||
\(124\) | 1.85039 | − | 4.95968i | 0.166170 | − | 0.445392i | ||||
\(125\) | −2.13919 | + | 10.9738i | −0.191335 | + | 0.981525i | ||||
\(126\) | −0.601793 | − | 0.866833i | −0.0536119 | − | 0.0772236i | ||||
\(127\) | − | 4.21351i | − | 0.373888i | −0.982371 | − | 0.186944i | \(-0.940142\pi\) | ||
0.982371 | − | 0.186944i | \(-0.0598583\pi\) | |||||||
\(128\) | 5.06752 | − | 10.1153i | 0.447910 | − | 0.894079i | ||||
\(129\) | 7.44322 | 0.655339 | ||||||||
\(130\) | −9.24860 | + | 0.176474i | −0.811156 | + | 0.0154778i | ||||
\(131\) | 10.3204i | 0.901694i | 0.892601 | + | 0.450847i | \(0.148878\pi\) | ||||
−0.892601 | + | 0.450847i | \(0.851122\pi\) | |||||||
\(132\) | −10.0450 | − | 3.74767i | −0.874306 | − | 0.326193i | ||||
\(133\) | 1.29362 | 0.112171 | ||||||||
\(134\) | −8.64681 | + | 6.00299i | −0.746970 | + | 0.518579i | ||||
\(135\) | −1.86081 | − | 1.23992i | −0.160153 | − | 0.106715i | ||||
\(136\) | −5.85039 | + | 1.49235i | −0.501667 | + | 0.127968i | ||||
\(137\) | 15.0387i | 1.28484i | 0.766351 | + | 0.642422i | \(0.222070\pi\) | ||||
−0.766351 | + | 0.642422i | \(0.777930\pi\) | |||||||
\(138\) | −6.04502 | − | 8.70735i | −0.514586 | − | 0.741219i | ||||
\(139\) | 9.47032i | 0.803262i | 0.915802 | + | 0.401631i | \(0.131557\pi\) | ||||
−0.915802 | + | 0.401631i | \(0.868443\pi\) | |||||||
\(140\) | 1.95498 | + | 2.70436i | 0.165226 | + | 0.228560i | ||||
\(141\) | − | 1.73367i | − | 0.146001i | ||||||
\(142\) | −15.4432 | + | 10.7214i | −1.29597 | + | 0.899716i | ||||
\(143\) | 15.6810i | 1.31131i | ||||||||
\(144\) | −3.02251 | − | 2.62001i | −0.251876 | − | 0.218334i | ||||
\(145\) | 8.36842 | − | 12.5589i | 0.694959 | − | 1.04296i | ||||
\(146\) | −0.556777 | − | 0.801991i | −0.0460792 | − | 0.0663732i | ||||
\(147\) | −6.44322 | −0.531428 | ||||||||
\(148\) | 0.751399 | − | 2.01400i | 0.0617646 | − | 0.165550i | ||||
\(149\) | − | 1.78948i | − | 0.146600i | −0.997310 | − | 0.0733000i | \(-0.976647\pi\) | ||
0.997310 | − | 0.0733000i | \(-0.0233531\pi\) | |||||||
\(150\) | 5.95812 | + | 3.80800i | 0.486478 | + | 0.310922i | ||||
\(151\) | 10.6468 | 0.866425 | 0.433212 | − | 0.901292i | \(-0.357380\pi\) | ||||
0.433212 | + | 0.901292i | \(0.357380\pi\) | |||||||
\(152\) | 4.75140 | − | 1.21201i | 0.385389 | − | 0.0983071i | ||||
\(153\) | 2.13466i | 0.172577i | ||||||||
\(154\) | 4.64681 | − | 3.22601i | 0.374451 | − | 0.259960i | ||||
\(155\) | 4.92520 | + | 3.28183i | 0.395601 | + | 0.263603i | ||||
\(156\) | −2.04502 | + | 5.48133i | −0.163732 | + | 0.438858i | ||||
\(157\) | −6.92520 | −0.552691 | −0.276345 | − | 0.961058i | \(-0.589123\pi\) | ||||
−0.276345 | + | 0.961058i | \(0.589123\pi\) | |||||||
\(158\) | 3.07480 | − | 2.13466i | 0.244618 | − | 0.169824i | ||||
\(159\) | 7.72161 | 0.612364 | ||||||||
\(160\) | 9.71433 | + | 8.10134i | 0.767985 | + | 0.640467i | ||||
\(161\) | 5.59283 | 0.440777 | ||||||||
\(162\) | −1.16170 | + | 0.806504i | −0.0912719 | + | 0.0633649i | ||||
\(163\) | −7.70079 | −0.603172 | −0.301586 | − | 0.953439i | \(-0.597516\pi\) | ||||
−0.301586 | + | 0.953439i | \(0.597516\pi\) | |||||||
\(164\) | −7.89541 | + | 21.1624i | −0.616528 | + | 1.65250i | ||||
\(165\) | 6.64681 | − | 9.97518i | 0.517453 | − | 0.776566i | ||||
\(166\) | −6.79641 | + | 4.71836i | −0.527504 | + | 0.366216i | ||||
\(167\) | − | 3.22601i | − | 0.249637i | −0.992180 | − | 0.124818i | \(-0.960165\pi\) | ||
0.992180 | − | 0.124818i | \(-0.0398348\pi\) | |||||||
\(168\) | 2.04502 | − | 0.521653i | 0.157776 | − | 0.0402464i | ||||
\(169\) | −4.44322 | −0.341786 | ||||||||
\(170\) | −0.128782 | − | 6.74916i | −0.00987713 | − | 0.517637i | ||||
\(171\) | − | 1.73367i | − | 0.132577i | ||||||
\(172\) | −5.20359 | + | 13.9474i | −0.396770 | + | 1.06348i | ||||
\(173\) | 6.42799 | 0.488711 | 0.244356 | − | 0.969686i | \(-0.421424\pi\) | ||||
0.244356 | + | 0.969686i | \(0.421424\pi\) | |||||||
\(174\) | −5.44322 | − | 7.84052i | −0.412650 | − | 0.594388i | ||||
\(175\) | −3.44322 | + | 1.43653i | −0.260283 | + | 0.108592i | ||||
\(176\) | 14.0450 | − | 16.2027i | 1.05868 | − | 1.22132i | ||||
\(177\) | 6.85302i | 0.515105i | ||||||||
\(178\) | 8.82061 | − | 6.12364i | 0.661132 | − | 0.458987i | ||||
\(179\) | − | 8.13765i | − | 0.608236i | −0.952634 | − | 0.304118i | \(-0.901638\pi\) | ||
0.952634 | − | 0.304118i | \(-0.0983618\pi\) | |||||||
\(180\) | 3.62430 | − | 2.62001i | 0.270139 | − | 0.195284i | ||||
\(181\) | − | 1.49235i | − | 0.110925i | −0.998461 | − | 0.0554627i | \(-0.982337\pi\) | ||
0.998461 | − | 0.0554627i | \(-0.0176634\pi\) | |||||||
\(182\) | −1.76036 | − | 2.53566i | −0.130487 | − | 0.187955i | ||||
\(183\) | 6.45203i | 0.476948i | ||||||||
\(184\) | 20.5422 | − | 5.24002i | 1.51439 | − | 0.386299i | ||||
\(185\) | 2.00000 | + | 1.33267i | 0.147043 | + | 0.0979798i | ||||
\(186\) | 3.07480 | − | 2.13466i | 0.225456 | − | 0.156521i | ||||
\(187\) | −11.4432 | −0.836811 | ||||||||
\(188\) | 3.24860 | + | 1.21201i | 0.236929 | + | 0.0883951i | ||||
\(189\) | − | 0.746175i | − | 0.0542762i | ||||||
\(190\) | 0.104590 | + | 5.48133i | 0.00758778 | + | 0.397658i | ||||
\(191\) | 6.88645 | 0.498286 | 0.249143 | − | 0.968467i | \(-0.419851\pi\) | ||||
0.249143 | + | 0.968467i | \(0.419851\pi\) | |||||||
\(192\) | 7.02251 | − | 3.83202i | 0.506806 | − | 0.276552i | ||||
\(193\) | 16.4830i | 1.18647i | 0.805028 | + | 0.593237i | \(0.202150\pi\) | ||||
−0.805028 | + | 0.593237i | \(0.797850\pi\) | |||||||
\(194\) | 11.4432 | + | 16.4830i | 0.821576 | + | 1.18341i | ||||
\(195\) | −5.44322 | − | 3.62701i | −0.389797 | − | 0.259736i | ||||
\(196\) | 4.50448 | − | 12.0735i | 0.321749 | − | 0.862395i | ||||
\(197\) | 13.5720 | 0.966965 | 0.483483 | − | 0.875354i | \(-0.339372\pi\) | ||||
0.483483 | + | 0.875354i | \(0.339372\pi\) | |||||||
\(198\) | −4.32340 | − | 6.22751i | −0.307251 | − | 0.442570i | ||||
\(199\) | −9.05398 | −0.641820 | −0.320910 | − | 0.947110i | \(-0.603989\pi\) | ||||
−0.320910 | + | 0.947110i | \(0.603989\pi\) | |||||||
\(200\) | −11.3009 | + | 8.50234i | −0.799094 | + | 0.601206i | ||||
\(201\) | −7.44322 | −0.525005 | ||||||||
\(202\) | 6.00000 | + | 8.64251i | 0.422159 | + | 0.608085i | ||||
\(203\) | 5.03605 | 0.353462 | ||||||||
\(204\) | −4.00000 | − | 1.49235i | −0.280056 | − | 0.104485i | ||||
\(205\) | −21.0152 | − | 14.0032i | −1.46777 | − | 0.978025i | ||||
\(206\) | 5.80538 | + | 8.36217i | 0.404480 | + | 0.582620i | ||||
\(207\) | − | 7.49534i | − | 0.520962i | ||||||
\(208\) | −8.84143 | − | 7.66404i | −0.613043 | − | 0.531406i | ||||
\(209\) | 9.29362 | 0.642853 | ||||||||
\(210\) | 0.0450160 | + | 2.35918i | 0.00310640 | + | 0.162799i | ||||
\(211\) | 2.53566i | 0.174562i | 0.996184 | + | 0.0872809i | \(0.0278178\pi\) | ||||
−0.996184 | + | 0.0872809i | \(0.972182\pi\) | |||||||
\(212\) | −5.39821 | + | 14.4690i | −0.370750 | + | 0.993736i | ||||
\(213\) | −13.2936 | −0.910864 | ||||||||
\(214\) | −4.64681 | + | 3.22601i | −0.317649 | + | 0.220526i | ||||
\(215\) | −13.8504 | − | 9.22900i | −0.944589 | − | 0.629413i | ||||
\(216\) | −0.699104 | − | 2.74067i | −0.0475680 | − | 0.186479i | ||||
\(217\) | 1.97498i | 0.134070i | ||||||||
\(218\) | −16.0900 | − | 23.1764i | −1.08975 | − | 1.56970i | ||||
\(219\) | − | 0.690358i | − | 0.0466501i | ||||||
\(220\) | 14.0450 | + | 19.4287i | 0.946915 | + | 1.30988i | ||||
\(221\) | 6.24430i | 0.420037i | ||||||||
\(222\) | 1.24860 | − | 0.866833i | 0.0838006 | − | 0.0581780i | ||||
\(223\) | − | 12.1579i | − | 0.814152i | −0.913394 | − | 0.407076i | \(-0.866548\pi\) | ||
0.913394 | − | 0.407076i | \(-0.133452\pi\) | |||||||
\(224\) | −0.452186 | + | 4.19671i | −0.0302130 | + | 0.280405i | ||||
\(225\) | 1.92520 | + | 4.61450i | 0.128346 | + | 0.307633i | ||||
\(226\) | 9.72161 | + | 14.0032i | 0.646672 | + | 0.931478i | ||||
\(227\) | −20.7368 | −1.37635 | −0.688176 | − | 0.725544i | \(-0.741588\pi\) | ||||
−0.688176 | + | 0.725544i | \(0.741588\pi\) | |||||||
\(228\) | 3.24860 | + | 1.21201i | 0.215144 | + | 0.0802674i | ||||
\(229\) | − | 19.9504i | − | 1.31836i | −0.751987 | − | 0.659178i | \(-0.770904\pi\) | ||
0.751987 | − | 0.659178i | \(-0.229096\pi\) | |||||||
\(230\) | 0.452186 | + | 23.6980i | 0.0298163 | + | 1.56260i | ||||
\(231\) | 4.00000 | 0.263181 | ||||||||
\(232\) | 18.4972 | − | 4.71836i | 1.21440 | − | 0.309776i | ||||
\(233\) | 13.3386i | 0.873844i | 0.899499 | + | 0.436922i | \(0.143931\pi\) | ||||
−0.899499 | + | 0.436922i | \(0.856069\pi\) | |||||||
\(234\) | −3.39821 | + | 2.35918i | −0.222148 | + | 0.154225i | ||||
\(235\) | −2.14961 | + | 3.22601i | −0.140225 | + | 0.210442i | ||||
\(236\) | −12.8414 | − | 4.79097i | −0.835906 | − | 0.311866i | ||||
\(237\) | 2.64681 | 0.171929 | ||||||||
\(238\) | 1.85039 | − | 1.28462i | 0.119943 | − | 0.0832697i | ||||
\(239\) | −22.8864 | −1.48040 | −0.740201 | − | 0.672386i | \(-0.765269\pi\) | ||||
−0.740201 | + | 0.672386i | \(0.765269\pi\) | |||||||
\(240\) | 2.37570 | + | 8.62300i | 0.153351 | + | 0.556612i | ||||
\(241\) | 3.59283 | 0.231435 | 0.115717 | − | 0.993282i | \(-0.463083\pi\) | ||||
0.115717 | + | 0.993282i | \(0.463083\pi\) | |||||||
\(242\) | 20.6049 | − | 14.3048i | 1.32453 | − | 0.919549i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −12.0900 | − | 4.51064i | −0.773985 | − | 0.288764i | ||||
\(245\) | 11.9896 | + | 7.98908i | 0.765987 | + | 0.510404i | ||||
\(246\) | −13.1198 | + | 9.10834i | −0.836489 | + | 0.580727i | ||||
\(247\) | − | 5.07131i | − | 0.322680i | ||||||
\(248\) | 1.85039 | + | 7.25402i | 0.117500 | + | 0.460631i | ||||
\(249\) | −5.85039 | −0.370754 | ||||||||
\(250\) | −6.36529 | − | 14.4735i | −0.402576 | − | 0.915387i | ||||
\(251\) | − | 8.82801i | − | 0.557219i | −0.960404 | − | 0.278609i | \(-0.910127\pi\) | ||
0.960404 | − | 0.278609i | \(-0.0898735\pi\) | |||||||
\(252\) | 1.39821 | + | 0.521653i | 0.0880788 | + | 0.0328611i | ||||
\(253\) | 40.1801 | 2.52610 | ||||||||
\(254\) | 3.39821 | + | 4.89484i | 0.213222 | + | 0.307129i | ||||
\(255\) | 2.64681 | − | 3.97219i | 0.165750 | − | 0.248748i | ||||
\(256\) | 2.27111 | + | 15.8380i | 0.141944 | + | 0.989875i | ||||
\(257\) | − | 22.2927i | − | 1.39058i | −0.718728 | − | 0.695291i | \(-0.755275\pi\) | ||
0.718728 | − | 0.695291i | \(-0.244725\pi\) | |||||||
\(258\) | −8.64681 | + | 6.00299i | −0.538327 | + | 0.373730i | ||||
\(259\) | 0.801991i | 0.0498333i | ||||||||
\(260\) | 10.6018 | − | 7.66404i | 0.657495 | − | 0.475304i | ||||
\(261\) | − | 6.74916i | − | 0.417763i | ||||||
\(262\) | −8.32340 | − | 11.9892i | −0.514222 | − | 0.740694i | ||||
\(263\) | 21.2014i | 1.30733i | 0.756783 | + | 0.653667i | \(0.226770\pi\) | ||||
−0.756783 | + | 0.653667i | \(0.773230\pi\) | |||||||
\(264\) | 14.6918 | − | 3.74767i | 0.904219 | − | 0.230653i | ||||
\(265\) | −14.3684 | − | 9.57418i | −0.882645 | − | 0.588137i | ||||
\(266\) | −1.50280 | + | 1.04331i | −0.0921424 | + | 0.0639693i | ||||
\(267\) | 7.59283 | 0.464674 | ||||||||
\(268\) | 5.20359 | − | 13.9474i | 0.317860 | − | 0.851971i | ||||
\(269\) | − | 14.6935i | − | 0.895881i | −0.894063 | − | 0.447940i | \(-0.852158\pi\) | ||
0.894063 | − | 0.447940i | \(-0.147842\pi\) | |||||||
\(270\) | 3.16170 | − | 0.0603290i | 0.192415 | − | 0.00367151i | ||||
\(271\) | −20.2396 | −1.22947 | −0.614735 | − | 0.788734i | \(-0.710737\pi\) | ||||
−0.614735 | + | 0.788734i | \(0.710737\pi\) | |||||||
\(272\) | 5.59283 | − | 6.45203i | 0.339115 | − | 0.391212i | ||||
\(273\) | − | 2.18271i | − | 0.132103i | ||||||
\(274\) | −12.1288 | − | 17.4705i | −0.732727 | − | 1.05543i | ||||
\(275\) | −24.7368 | + | 10.3204i | −1.49169 | + | 0.622341i | ||||
\(276\) | 14.0450 | + | 5.24002i | 0.845411 | + | 0.315412i | ||||
\(277\) | −0.518027 | −0.0311252 | −0.0155626 | − | 0.999879i | \(-0.504954\pi\) | ||||
−0.0155626 | + | 0.999879i | \(0.504954\pi\) | |||||||
\(278\) | −7.63785 | − | 11.0017i | −0.458088 | − | 0.659837i | ||||
\(279\) | 2.64681 | 0.158460 | ||||||||
\(280\) | −4.45219 | − | 1.56496i | −0.266069 | − | 0.0935243i | ||||
\(281\) | 13.7008 | 0.817320 | 0.408660 | − | 0.912687i | \(-0.365996\pi\) | ||||
0.408660 | + | 0.912687i | \(0.365996\pi\) | |||||||
\(282\) | 1.39821 | + | 2.01400i | 0.0832620 | + | 0.119932i | ||||
\(283\) | −18.0305 | −1.07180 | −0.535900 | − | 0.844282i | \(-0.680027\pi\) | ||||
−0.535900 | + | 0.844282i | \(0.680027\pi\) | |||||||
\(284\) | 9.29362 | − | 24.9100i | 0.551475 | − | 1.47814i | ||||
\(285\) | −2.14961 | + | 3.22601i | −0.127332 | + | 0.191093i | ||||
\(286\) | −12.6468 | − | 18.2167i | −0.747821 | − | 1.07718i | ||||
\(287\) | − | 8.42701i | − | 0.497431i | ||||||
\(288\) | 5.62430 | + | 0.606006i | 0.331415 | + | 0.0357092i | ||||
\(289\) | 12.4432 | 0.731954 | ||||||||
\(290\) | 0.407170 | + | 21.3388i | 0.0239099 | + | 1.25306i | ||||
\(291\) | 14.1887i | 0.831755i | ||||||||
\(292\) | 1.29362 | + | 0.482632i | 0.0757032 | + | 0.0282439i | ||||
\(293\) | −15.9792 | −0.933513 | −0.466757 | − | 0.884386i | \(-0.654578\pi\) | ||||
−0.466757 | + | 0.884386i | \(0.654578\pi\) | |||||||
\(294\) | 7.48511 | − | 5.19648i | 0.436540 | − | 0.303065i | ||||
\(295\) | 8.49720 | − | 12.7521i | 0.494726 | − | 0.742459i | ||||
\(296\) | 0.751399 | + | 2.94568i | 0.0436742 | + | 0.171214i | ||||
\(297\) | − | 5.36068i | − | 0.311058i | ||||||
\(298\) | 1.44322 | + | 2.07884i | 0.0836037 | + | 0.120424i | ||||
\(299\) | − | 21.9253i | − | 1.26797i | ||||||
\(300\) | −9.99272 | + | 0.381485i | −0.576930 | + | 0.0220250i | ||||
\(301\) | − | 5.55394i | − | 0.320124i | ||||||
\(302\) | −12.3684 | + | 8.58669i | −0.711723 | + | 0.494108i | ||||
\(303\) | 7.43952i | 0.427389i | ||||||||
\(304\) | −4.54222 | + | 5.24002i | −0.260514 | + | 0.300536i | ||||
\(305\) | 8.00000 | − | 12.0060i | 0.458079 | − | 0.687460i | ||||
\(306\) | −1.72161 | − | 2.47984i | −0.0984180 | − | 0.141763i | ||||
\(307\) | 22.5872 | 1.28912 | 0.644561 | − | 0.764553i | \(-0.277040\pi\) | ||||
0.644561 | + | 0.764553i | \(0.277040\pi\) | |||||||
\(308\) | −2.79641 | + | 7.49534i | −0.159341 | + | 0.427086i | ||||
\(309\) | 7.19820i | 0.409492i | ||||||||
\(310\) | −8.36842 | + | 0.159679i | −0.475294 | + | 0.00906918i | ||||
\(311\) | −18.5872 | −1.05399 | −0.526993 | − | 0.849870i | \(-0.676680\pi\) | ||||
−0.526993 | + | 0.849870i | \(0.676680\pi\) | |||||||
\(312\) | −2.04502 | − | 8.01699i | −0.115776 | − | 0.453873i | ||||
\(313\) | 29.3871i | 1.66106i | 0.556977 | + | 0.830528i | \(0.311961\pi\) | ||||
−0.556977 | + | 0.830528i | \(0.688039\pi\) | |||||||
\(314\) | 8.04502 | − | 5.58520i | 0.454007 | − | 0.315191i | ||||
\(315\) | −0.925197 | + | 1.38849i | −0.0521289 | + | 0.0782323i | ||||
\(316\) | −1.85039 | + | 4.95968i | −0.104093 | + | 0.279004i | ||||
\(317\) | 5.57201 | 0.312955 | 0.156478 | − | 0.987682i | \(-0.449986\pi\) | ||||
0.156478 | + | 0.987682i | \(0.449986\pi\) | |||||||
\(318\) | −8.97021 | + | 6.22751i | −0.503025 | + | 0.349221i | ||||
\(319\) | 36.1801 | 2.02569 | ||||||||
\(320\) | −17.8189 | − | 1.57670i | −0.996108 | − | 0.0881403i | ||||
\(321\) | −4.00000 | −0.223258 | ||||||||
\(322\) | −6.49720 | + | 4.51064i | −0.362075 | + | 0.251368i | ||||
\(323\) | 3.70079 | 0.205917 | ||||||||
\(324\) | 0.699104 | − | 1.87383i | 0.0388391 | − | 0.104102i | ||||
\(325\) | 5.63158 | + | 13.4983i | 0.312384 | + | 0.748752i | ||||
\(326\) | 8.94602 | − | 6.21071i | 0.495474 | − | 0.343980i | ||||
\(327\) | − | 19.9504i | − | 1.10326i | ||||||
\(328\) | −7.89541 | − | 30.9520i | −0.435951 | − | 1.70904i | ||||
\(329\) | −1.29362 | −0.0713194 | ||||||||
\(330\) | 0.323404 | + | 16.9489i | 0.0178028 | + | 0.933004i | ||||
\(331\) | 13.7396i | 0.755199i | 0.925969 | + | 0.377599i | \(0.123250\pi\) | ||||
−0.925969 | + | 0.377599i | \(0.876750\pi\) | |||||||
\(332\) | 4.09003 | − | 10.9627i | 0.224470 | − | 0.601655i | ||||
\(333\) | 1.07480 | 0.0588989 | ||||||||
\(334\) | 2.60179 | + | 3.74767i | 0.142364 | + | 0.205063i | ||||
\(335\) | 13.8504 | + | 9.22900i | 0.756728 | + | 0.504234i | ||||
\(336\) | −1.95498 | + | 2.25532i | −0.106653 | + | 0.123038i | ||||
\(337\) | 20.7523i | 1.13045i | 0.824936 | + | 0.565226i | \(0.191211\pi\) | ||||
−0.824936 | + | 0.565226i | \(0.808789\pi\) | |||||||
\(338\) | 5.16170 | − | 3.58348i | 0.280760 | − | 0.194915i | ||||
\(339\) | 12.0540i | 0.654685i | ||||||||
\(340\) | 5.59283 | + | 7.73665i | 0.303314 | + | 0.419579i | ||||
\(341\) | 14.1887i | 0.768360i | ||||||||
\(342\) | 1.39821 | + | 2.01400i | 0.0756064 | + | 0.108905i | ||||
\(343\) | 10.0310i | 0.541623i | ||||||||
\(344\) | −5.20359 | − | 20.3994i | −0.280559 | − | 1.09986i | ||||
\(345\) | −9.29362 | + | 13.9474i | −0.500352 | + | 0.750901i | ||||
\(346\) | −7.46742 | + | 5.18420i | −0.401451 | + | 0.278704i | ||||
\(347\) | 4.73684 | 0.254287 | 0.127143 | − | 0.991884i | \(-0.459419\pi\) | ||||
0.127143 | + | 0.991884i | \(0.459419\pi\) | |||||||
\(348\) | 12.6468 | + | 4.71836i | 0.677940 | + | 0.252931i | ||||
\(349\) | − | 0.482632i | − | 0.0258347i | −0.999917 | − | 0.0129174i | \(-0.995888\pi\) | ||
0.999917 | − | 0.0129174i | \(-0.00411184\pi\) | |||||||
\(350\) | 2.84143 | − | 4.44580i | 0.151881 | − | 0.237638i | ||||
\(351\) | −2.92520 | −0.156135 | ||||||||
\(352\) | −3.24860 | + | 30.1500i | −0.173151 | + | 1.60700i | ||||
\(353\) | 2.13466i | 0.113617i | 0.998385 | + | 0.0568083i | \(0.0180924\pi\) | ||||
−0.998385 | + | 0.0568083i | \(0.981908\pi\) | |||||||
\(354\) | −5.52699 | − | 7.96117i | −0.293756 | − | 0.423132i | ||||
\(355\) | 24.7368 | + | 16.4830i | 1.31290 | + | 0.874828i | ||||
\(356\) | −5.30818 | + | 14.2277i | −0.281333 | + | 0.754067i | ||||
\(357\) | 1.59283 | 0.0843015 | ||||||||
\(358\) | 6.56304 | + | 9.45352i | 0.346868 | + | 0.499634i | ||||
\(359\) | 9.59283 | 0.506290 | 0.253145 | − | 0.967428i | \(-0.418535\pi\) | ||||
0.253145 | + | 0.967428i | \(0.418535\pi\) | |||||||
\(360\) | −2.09731 | + | 5.96668i | −0.110538 | + | 0.314472i | ||||
\(361\) | 15.9944 | 0.841811 | ||||||||
\(362\) | 1.20359 | + | 1.73367i | 0.0632590 | + | 0.0911194i | ||||
\(363\) | 17.7368 | 0.930943 | ||||||||
\(364\) | 4.09003 | + | 1.52594i | 0.214376 | + | 0.0799809i | ||||
\(365\) | −0.855989 | + | 1.28462i | −0.0448045 | + | 0.0672402i | ||||
\(366\) | −5.20359 | − | 7.49534i | −0.271996 | − | 0.391787i | ||||
\(367\) | 34.0832i | 1.77913i | 0.456809 | + | 0.889565i | \(0.348992\pi\) | ||||
−0.456809 | + | 0.889565i | \(0.651008\pi\) | |||||||
\(368\) | −19.6378 | + | 22.6547i | −1.02369 | + | 1.18096i | ||||
\(369\) | −11.2936 | −0.587922 | ||||||||
\(370\) | −3.39821 | + | 0.0648418i | −0.176664 | + | 0.00337097i | ||||
\(371\) | − | 5.76167i | − | 0.299131i | ||||||
\(372\) | −1.85039 | + | 4.95968i | −0.0959384 | + | 0.257147i | ||||
\(373\) | −4.33796 | −0.224611 | −0.112306 | − | 0.993674i | \(-0.535824\pi\) | ||||
−0.112306 | + | 0.993674i | \(0.535824\pi\) | |||||||
\(374\) | 13.2936 | − | 9.22900i | 0.687397 | − | 0.477220i | ||||
\(375\) | 2.13919 | − | 10.9738i | 0.110468 | − | 0.566684i | ||||
\(376\) | −4.75140 | + | 1.21201i | −0.245035 | + | 0.0625047i | ||||
\(377\) | − | 19.7426i | − | 1.01680i | ||||||
\(378\) | 0.601793 | + | 0.866833i | 0.0309529 | + | 0.0445851i | ||||
\(379\) | 6.90107i | 0.354484i | 0.984167 | + | 0.177242i | \(0.0567176\pi\) | ||||
−0.984167 | + | 0.177242i | \(0.943282\pi\) | |||||||
\(380\) | −4.54222 | − | 6.28332i | −0.233011 | − | 0.322328i | ||||
\(381\) | 4.21351i | 0.215864i | ||||||||
\(382\) | −8.00000 | + | 5.55394i | −0.409316 | + | 0.284165i | ||||
\(383\) | − | 22.3744i | − | 1.14328i | −0.820506 | − | 0.571639i | \(-0.806308\pi\) | ||
0.820506 | − | 0.571639i | \(-0.193692\pi\) | |||||||
\(384\) | −5.06752 | + | 10.1153i | −0.258601 | + | 0.516197i | ||||
\(385\) | −7.44322 | − | 4.95968i | −0.379342 | − | 0.252769i | ||||
\(386\) | −13.2936 | − | 19.1484i | −0.676627 | − | 0.974626i | ||||
\(387\) | −7.44322 | −0.378360 | ||||||||
\(388\) | −26.5872 | − | 9.91936i | −1.34976 | − | 0.503579i | ||||
\(389\) | 11.0185i | 0.558659i | 0.960195 | + | 0.279330i | \(0.0901122\pi\) | ||||
−0.960195 | + | 0.279330i | \(0.909888\pi\) | |||||||
\(390\) | 9.24860 | − | 0.176474i | 0.468321 | − | 0.00893612i | ||||
\(391\) | 16.0000 | 0.809155 | ||||||||
\(392\) | 4.50448 | + | 17.6587i | 0.227511 | + | 0.891900i | ||||
\(393\) | − | 10.3204i | − | 0.520593i | ||||||
\(394\) | −15.7666 | + | 10.9459i | −0.794311 | + | 0.551445i | ||||
\(395\) | −4.92520 | − | 3.28183i | −0.247814 | − | 0.165127i | ||||
\(396\) | 10.0450 | + | 3.74767i | 0.504781 | + | 0.188327i | ||||
\(397\) | −25.2549 | −1.26751 | −0.633753 | − | 0.773536i | \(-0.718486\pi\) | ||||
−0.633753 | + | 0.773536i | \(0.718486\pi\) | |||||||
\(398\) | 10.5180 | − | 7.30207i | 0.527221 | − | 0.366020i | ||||
\(399\) | −1.29362 | −0.0647619 | ||||||||
\(400\) | 6.27111 | − | 18.9914i | 0.313555 | − | 0.949570i | ||||
\(401\) | 7.29362 | 0.364226 | 0.182113 | − | 0.983278i | \(-0.441706\pi\) | ||||
0.182113 | + | 0.983278i | \(0.441706\pi\) | |||||||
\(402\) | 8.64681 | − | 6.00299i | 0.431264 | − | 0.299402i | ||||
\(403\) | 7.74244 | 0.385678 | ||||||||
\(404\) | −13.9404 | − | 5.20100i | −0.693562 | − | 0.258759i | ||||
\(405\) | 1.86081 | + | 1.23992i | 0.0924642 | + | 0.0616121i | ||||
\(406\) | −5.85039 | + | 4.06160i | −0.290350 | + | 0.201574i | ||||
\(407\) | 5.76167i | 0.285595i | ||||||||
\(408\) | 5.85039 | − | 1.49235i | 0.289638 | − | 0.0738823i | ||||
\(409\) | −15.8504 | −0.783752 | −0.391876 | − | 0.920018i | \(-0.628174\pi\) | ||||
−0.391876 | + | 0.920018i | \(0.628174\pi\) | |||||||
\(410\) | 35.7071 | − | 0.681333i | 1.76345 | − | 0.0336486i | ||||
\(411\) | − | 15.0387i | − | 0.741805i | ||||||
\(412\) | −13.4882 | − | 5.03229i | −0.664518 | − | 0.247923i | ||||
\(413\) | 5.11355 | 0.251622 | ||||||||
\(414\) | 6.04502 | + | 8.70735i | 0.297096 | + | 0.427943i | ||||
\(415\) | 10.8864 | + | 7.25402i | 0.534395 | + | 0.356086i | ||||
\(416\) | 16.4522 | + | 1.77269i | 0.806635 | + | 0.0869131i | ||||
\(417\) | − | 9.47032i | − | 0.463763i | ||||||
\(418\) | −10.7964 | + | 7.49534i | −0.528070 | + | 0.366609i | ||||
\(419\) | 8.02602i | 0.392097i | 0.980594 | + | 0.196048i | \(0.0628109\pi\) | ||||
−0.980594 | + | 0.196048i | \(0.937189\pi\) | |||||||
\(420\) | −1.95498 | − | 2.70436i | −0.0953935 | − | 0.131959i | ||||
\(421\) | 22.9351i | 1.11779i | 0.829240 | + | 0.558893i | \(0.188774\pi\) | ||||
−0.829240 | + | 0.558893i | \(0.811226\pi\) | |||||||
\(422\) | −2.04502 | − | 2.94568i | −0.0995498 | − | 0.143393i | ||||
\(423\) | 1.73367i | 0.0842937i | ||||||||
\(424\) | −5.39821 | − | 21.1624i | −0.262160 | − | 1.02774i | ||||
\(425\) | −9.85039 | + | 4.10964i | −0.477814 | + | 0.199347i | ||||
\(426\) | 15.4432 | − | 10.7214i | 0.748227 | − | 0.519451i | ||||
\(427\) | 4.81434 | 0.232982 | ||||||||
\(428\) | 2.79641 | − | 7.49534i | 0.135170 | − | 0.362301i | ||||
\(429\) | − | 15.6810i | − | 0.757087i | ||||||
\(430\) | 23.5333 | − | 0.449042i | 1.13487 | − | 0.0216547i | ||||
\(431\) | −35.0665 | −1.68909 | −0.844547 | − | 0.535481i | \(-0.820130\pi\) | ||||
−0.844547 | + | 0.535481i | \(0.820130\pi\) | |||||||
\(432\) | 3.02251 | + | 2.62001i | 0.145420 | + | 0.126055i | ||||
\(433\) | − | 17.0773i | − | 0.820682i | −0.911932 | − | 0.410341i | \(-0.865410\pi\) | ||
0.911932 | − | 0.410341i | \(-0.134590\pi\) | |||||||
\(434\) | −1.59283 | − | 2.29434i | −0.0764583 | − | 0.110132i | ||||
\(435\) | −8.36842 | + | 12.5589i | −0.401235 | + | 0.602152i | ||||
\(436\) | 37.3836 | + | 13.9474i | 1.79035 | + | 0.667958i | ||||
\(437\) | −12.9944 | −0.621607 | ||||||||
\(438\) | 0.556777 | + | 0.801991i | 0.0266038 | + | 0.0383206i | ||||
\(439\) | −8.53885 | −0.407537 | −0.203769 | − | 0.979019i | \(-0.565319\pi\) | ||||
−0.203769 | + | 0.979019i | \(0.565319\pi\) | |||||||
\(440\) | −31.9854 | − | 11.2430i | −1.52485 | − | 0.535989i | ||||
\(441\) | 6.44322 | 0.306820 | ||||||||
\(442\) | −5.03605 | − | 7.25402i | −0.239541 | − | 0.345039i | ||||
\(443\) | 20.7368 | 0.985237 | 0.492619 | − | 0.870245i | \(-0.336040\pi\) | ||||
0.492619 | + | 0.870245i | \(0.336040\pi\) | |||||||
\(444\) | −0.751399 | + | 2.01400i | −0.0356598 | + | 0.0955803i | ||||
\(445\) | −14.1288 | − | 9.41450i | −0.669769 | − | 0.446290i | ||||
\(446\) | 9.80538 | + | 14.1238i | 0.464298 | + | 0.668783i | ||||
\(447\) | 1.78948i | 0.0846396i | ||||||||
\(448\) | −2.85936 | − | 5.24002i | −0.135092 | − | 0.247568i | ||||
\(449\) | 2.00000 | 0.0943858 | 0.0471929 | − | 0.998886i | \(-0.484972\pi\) | ||||
0.0471929 | + | 0.998886i | \(0.484972\pi\) | |||||||
\(450\) | −5.95812 | − | 3.80800i | −0.280868 | − | 0.179511i | ||||
\(451\) | − | 60.5414i | − | 2.85078i | ||||||
\(452\) | −22.5872 | − | 8.42701i | −1.06241 | − | 0.396373i | ||||
\(453\) | −10.6468 | −0.500231 | ||||||||
\(454\) | 24.0900 | − | 16.7243i | 1.13060 | − | 0.784912i | ||||
\(455\) | −2.70638 | + | 4.06160i | −0.126877 | + | 0.190411i | ||||
\(456\) | −4.75140 | + | 1.21201i | −0.222505 | + | 0.0567577i | ||||
\(457\) | 1.28462i | 0.0600921i | 0.999549 | + | 0.0300461i | \(0.00956540\pi\) | ||||
−0.999549 | + | 0.0300461i | \(0.990435\pi\) | |||||||
\(458\) | 16.0900 | + | 23.1764i | 0.751838 | + | 1.08296i | ||||
\(459\) | − | 2.13466i | − | 0.0996374i | ||||||
\(460\) | −19.6378 | − | 27.1654i | −0.915619 | − | 1.26659i | ||||
\(461\) | 15.7033i | 0.731374i | 0.930738 | + | 0.365687i | \(0.119166\pi\) | ||||
−0.930738 | + | 0.365687i | \(0.880834\pi\) | |||||||
\(462\) | −4.64681 | + | 3.22601i | −0.216189 | + | 0.150088i | ||||
\(463\) | − | 18.7215i | − | 0.870064i | −0.900415 | − | 0.435032i | \(-0.856737\pi\) | ||
0.900415 | − | 0.435032i | \(-0.143263\pi\) | |||||||
\(464\) | −17.6829 | + | 20.3994i | −0.820906 | + | 0.947018i | ||||
\(465\) | −4.92520 | − | 3.28183i | −0.228401 | − | 0.152191i | ||||
\(466\) | −10.7577 | − | 15.4955i | −0.498339 | − | 0.717817i | ||||
\(467\) | 2.14961 | 0.0994719 | 0.0497360 | − | 0.998762i | \(-0.484162\pi\) | ||||
0.0497360 | + | 0.998762i | \(0.484162\pi\) | |||||||
\(468\) | 2.04502 | − | 5.48133i | 0.0945309 | − | 0.253375i | ||||
\(469\) | 5.55394i | 0.256457i | ||||||||
\(470\) | −0.104590 | − | 5.48133i | −0.00482439 | − | 0.252835i | ||||
\(471\) | 6.92520 | 0.319096 | ||||||||
\(472\) | 18.7819 | − | 4.79097i | 0.864505 | − | 0.220522i | ||||
\(473\) | − | 39.9007i | − | 1.83464i | ||||||
\(474\) | −3.07480 | + | 2.13466i | −0.141230 | + | 0.0980482i | ||||
\(475\) | 8.00000 | − | 3.33765i | 0.367065 | − | 0.153142i | ||||
\(476\) | −1.11355 | + | 2.98470i | −0.0510396 | + | 0.136803i | ||||
\(477\) | −7.72161 | −0.353548 | ||||||||
\(478\) | 26.5872 | − | 18.4580i | 1.21607 | − | 0.844249i | ||||
\(479\) | 12.1801 | 0.556521 | 0.278261 | − | 0.960506i | \(-0.410242\pi\) | ||||
0.278261 | + | 0.960506i | \(0.410242\pi\) | |||||||
\(480\) | −9.71433 | − | 8.10134i | −0.443397 | − | 0.369774i | ||||
\(481\) | 3.14401 | 0.143355 | ||||||||
\(482\) | −4.17380 | + | 2.89763i | −0.190111 | + | 0.131983i | ||||
\(483\) | −5.59283 | −0.254483 | ||||||||
\(484\) | −12.3999 | + | 33.2359i | −0.563631 | + | 1.51072i | ||||
\(485\) | 17.5928 | − | 26.4024i | 0.798849 | − | 1.19887i | ||||
\(486\) | 1.16170 | − | 0.806504i | 0.0526959 | − | 0.0365837i | ||||
\(487\) | 25.7678i | 1.16765i | 0.811879 | + | 0.583826i | \(0.198445\pi\) | ||||
−0.811879 | + | 0.583826i | \(0.801555\pi\) | |||||||
\(488\) | 17.6829 | − | 4.51064i | 0.800466 | − | 0.204187i | ||||
\(489\) | 7.70079 | 0.348242 | ||||||||
\(490\) | −20.3716 | + | 0.388713i | −0.920293 | + | 0.0175603i | ||||
\(491\) | − | 16.7724i | − | 0.756927i | −0.925616 | − | 0.378464i | \(-0.876453\pi\) | ||
0.925616 | − | 0.378464i | \(-0.123547\pi\) | |||||||
\(492\) | 7.89541 | − | 21.1624i | 0.355953 | − | 0.954073i | ||||
\(493\) | 14.4072 | 0.648866 | ||||||||
\(494\) | 4.09003 | + | 5.89135i | 0.184019 | + | 0.265065i | ||||
\(495\) | −6.64681 | + | 9.97518i | −0.298752 | + | 0.448351i | ||||
\(496\) | −8.00000 | − | 6.93466i | −0.359211 | − | 0.311375i | ||||
\(497\) | 9.91936i | 0.444944i | ||||||||
\(498\) | 6.79641 | − | 4.71836i | 0.304555 | − | 0.211435i | ||||
\(499\) | − | 17.6224i | − | 0.788888i | −0.918920 | − | 0.394444i | \(-0.870937\pi\) | ||
0.918920 | − | 0.394444i | \(-0.129063\pi\) | |||||||
\(500\) | 19.0675 | + | 11.6803i | 0.852726 | + | 0.522359i | ||||
\(501\) | 3.22601i | 0.144128i | ||||||||
\(502\) | 7.11982 | + | 10.2555i | 0.317773 | + | 0.457726i | ||||
\(503\) | 27.1263i | 1.20950i | 0.796414 | + | 0.604752i | \(0.206728\pi\) | ||||
−0.796414 | + | 0.604752i | \(0.793272\pi\) | |||||||
\(504\) | −2.04502 | + | 0.521653i | −0.0910923 | + | 0.0232363i | ||||
\(505\) | 9.22441 | − | 13.8435i | 0.410481 | − | 0.616028i | ||||
\(506\) | −46.6773 | + | 32.4054i | −2.07506 | + | 1.44059i | ||||
\(507\) | 4.44322 | 0.197330 | ||||||||
\(508\) | −7.89541 | − | 2.94568i | −0.350302 | − | 0.130693i | ||||
\(509\) | 15.9782i | 0.708220i | 0.935204 | + | 0.354110i | \(0.115216\pi\) | ||||
−0.935204 | + | 0.354110i | \(0.884784\pi\) | |||||||
\(510\) | 0.128782 | + | 6.74916i | 0.00570256 | + | 0.298858i | ||||
\(511\) | −0.515128 | −0.0227879 | ||||||||
\(512\) | −15.4118 | − | 16.5674i | −0.681110 | − | 0.732181i | ||||
\(513\) | 1.73367i | 0.0765432i | ||||||||
\(514\) | 17.9792 | + | 25.8975i | 0.793027 | + | 1.14229i | ||||
\(515\) | 8.92520 | − | 13.3945i | 0.393291 | − | 0.590230i | ||||
\(516\) | 5.20359 | − | 13.9474i | 0.229075 | − | 0.613999i | ||||
\(517\) | −9.29362 | −0.408733 | ||||||||
\(518\) | −0.646809 | − | 0.931674i | −0.0284191 | − | 0.0409354i | ||||
\(519\) | −6.42799 | −0.282158 | ||||||||
\(520\) | −6.13505 | + | 17.4537i | −0.269040 | + | 0.765396i | ||||
\(521\) | 0.886447 | 0.0388359 | 0.0194180 | − | 0.999811i | \(-0.493819\pi\) | ||||
0.0194180 | + | 0.999811i | \(0.493819\pi\) | |||||||
\(522\) | 5.44322 | + | 7.84052i | 0.238243 | + | 0.343170i | ||||
\(523\) | −41.7729 | −1.82660 | −0.913301 | − | 0.407286i | \(-0.866475\pi\) | ||||
−0.913301 | + | 0.407286i | \(0.866475\pi\) | |||||||
\(524\) | 19.3386 | + | 7.21500i | 0.844812 | + | 0.315189i | ||||
\(525\) | 3.44322 | − | 1.43653i | 0.150275 | − | 0.0626954i | ||||
\(526\) | −17.0990 | − | 24.6297i | −0.745552 | − | 1.07391i | ||||
\(527\) | 5.65004i | 0.246120i | ||||||||
\(528\) | −14.0450 | + | 16.2027i | −0.611231 | + | 0.705131i | ||||
\(529\) | −33.1801 | −1.44261 | ||||||||
\(530\) | 24.4134 | − | 0.465837i | 1.06045 | − | 0.0202347i | ||||
\(531\) | − | 6.85302i | − | 0.297396i | ||||||
\(532\) | 0.904373 | − | 2.42402i | 0.0392095 | − | 0.105095i | ||||
\(533\) | −33.0361 | −1.43095 | ||||||||
\(534\) | −8.82061 | + | 6.12364i | −0.381705 | + | 0.264996i | ||||
\(535\) | 7.44322 | + | 4.95968i | 0.321799 | + | 0.214426i | ||||
\(536\) | 5.20359 | + | 20.3994i | 0.224761 | + | 0.881120i | ||||
\(537\) | 8.13765i | 0.351165i | ||||||||
\(538\) | 11.8504 | + | 17.0695i | 0.510907 | + | 0.735919i | ||||
\(539\) | 34.5400i | 1.48774i | ||||||||
\(540\) | −3.62430 | + | 2.62001i | −0.155965 | + | 0.112747i | ||||
\(541\) | − | 4.47705i | − | 0.192483i | −0.995358 | − | 0.0962417i | \(-0.969318\pi\) | ||
0.995358 | − | 0.0962417i | \(-0.0306822\pi\) | |||||||
\(542\) | 23.5124 | − | 16.3233i | 1.00995 | − | 0.701148i | ||||
\(543\) | 1.49235i | 0.0640428i | ||||||||
\(544\) | −1.29362 | + | 12.0060i | −0.0554634 | + | 0.514752i | ||||
\(545\) | −24.7368 | + | 37.1237i | −1.05961 | + | 1.59021i | ||||
\(546\) | 1.76036 | + | 2.53566i | 0.0753365 | + | 0.108516i | ||||
\(547\) | 14.3297 | 0.612692 | 0.306346 | − | 0.951920i | \(-0.400893\pi\) | ||||
0.306346 | + | 0.951920i | \(0.400893\pi\) | |||||||
\(548\) | 28.1801 | + | 10.5136i | 1.20379 | + | 0.449120i | ||||
\(549\) | − | 6.45203i | − | 0.275366i | ||||||
\(550\) | 20.4134 | − | 31.9395i | 0.870432 | − | 1.36191i | ||||
\(551\) | −11.7008 | −0.498470 | ||||||||
\(552\) | −20.5422 | + | 5.24002i | −0.874335 | + | 0.223030i | ||||
\(553\) | − | 1.97498i | − | 0.0839848i | ||||||
\(554\) | 0.601793 | − | 0.417790i | 0.0255677 | − | 0.0177502i | ||||
\(555\) | −2.00000 | − | 1.33267i | −0.0848953 | − | 0.0565687i | ||||
\(556\) | 17.7458 | + | 6.62073i | 0.752590 | + | 0.280782i | ||||
\(557\) | −2.68556 | −0.113791 | −0.0568954 | − | 0.998380i | \(-0.518120\pi\) | ||||
−0.0568954 | + | 0.998380i | \(0.518120\pi\) | |||||||
\(558\) | −3.07480 | + | 2.13466i | −0.130167 | + | 0.0903674i | ||||
\(559\) | −21.7729 | −0.920895 | ||||||||
\(560\) | 6.43426 | − | 1.77269i | 0.271897 | − | 0.0749097i | ||||
\(561\) | 11.4432 | 0.483133 | ||||||||
\(562\) | −15.9162 | + | 11.0497i | −0.671386 | + | 0.466105i | ||||
\(563\) | −20.7368 | −0.873954 | −0.436977 | − | 0.899473i | \(-0.643951\pi\) | ||||
−0.436977 | + | 0.899473i | \(0.643951\pi\) | |||||||
\(564\) | −3.24860 | − | 1.21201i | −0.136791 | − | 0.0510349i | ||||
\(565\) | 14.9460 | − | 22.4302i | 0.628784 | − | 0.943645i | ||||
\(566\) | 20.9460 | − | 14.5416i | 0.880427 | − | 0.611230i | ||||
\(567\) | 0.746175i | 0.0313364i | ||||||||
\(568\) | 9.29362 | + | 36.4334i | 0.389952 | + | 1.52871i | ||||
\(569\) | −4.40717 | −0.184758 | −0.0923791 | − | 0.995724i | \(-0.529447\pi\) | ||||
−0.0923791 | + | 0.995724i | \(0.529447\pi\) | |||||||
\(570\) | −0.104590 | − | 5.48133i | −0.00438081 | − | 0.229588i | ||||
\(571\) | 23.6590i | 0.990098i | 0.868865 | + | 0.495049i | \(0.164850\pi\) | ||||
−0.868865 | + | 0.495049i | \(0.835150\pi\) | |||||||
\(572\) | 29.3836 | + | 10.9627i | 1.22859 | + | 0.458372i | ||||
\(573\) | −6.88645 | −0.287685 | ||||||||
\(574\) | 6.79641 | + | 9.78968i | 0.283677 | + | 0.408613i | ||||
\(575\) | 34.5872 | − | 14.4300i | 1.44239 | − | 0.601772i | ||||
\(576\) | −7.02251 | + | 3.83202i | −0.292604 | + | 0.159668i | ||||
\(577\) | − | 6.56366i | − | 0.273249i | −0.990623 | − | 0.136624i | \(-0.956375\pi\) | ||
0.990623 | − | 0.136624i | \(-0.0436253\pi\) | |||||||
\(578\) | −14.4553 | + | 10.0355i | −0.601262 | + | 0.417422i | ||||
\(579\) | − | 16.4830i | − | 0.685011i | ||||||
\(580\) | −17.6829 | − | 24.4610i | −0.734241 | − | 1.01569i | ||||
\(581\) | 4.36542i | 0.181108i | ||||||||
\(582\) | −11.4432 | − | 16.4830i | −0.474337 | − | 0.683243i | ||||
\(583\) | − | 41.3931i | − | 1.71433i | ||||||
\(584\) | −1.89204 | + | 0.482632i | −0.0782933 | + | 0.0199715i | ||||
\(585\) | 5.44322 | + | 3.62701i | 0.225050 | + | 0.149958i | ||||
\(586\) | 18.5630 | − | 12.8873i | 0.766832 | − | 0.532368i | ||||
\(587\) | 16.2992 | 0.672741 | 0.336370 | − | 0.941730i | \(-0.390801\pi\) | ||||
0.336370 | + | 0.941730i | \(0.390801\pi\) | |||||||
\(588\) | −4.50448 | + | 12.0735i | −0.185762 | + | 0.497904i | ||||
\(589\) | − | 4.58868i | − | 0.189073i | ||||||
\(590\) | 0.413436 | + | 21.6672i | 0.0170209 | + | 0.892025i | ||||
\(591\) | −13.5720 | −0.558278 | ||||||||
\(592\) | −3.24860 | − | 2.81599i | −0.133517 | − | 0.115737i | ||||
\(593\) | 16.3233i | 0.670319i | 0.942161 | + | 0.335160i | \(0.108790\pi\) | ||||
−0.942161 | + | 0.335160i | \(0.891210\pi\) | |||||||
\(594\) | 4.32340 | + | 6.22751i | 0.177391 | + | 0.255518i | ||||
\(595\) | −2.96395 | − | 1.97498i | −0.121510 | − | 0.0809663i | ||||
\(596\) | −3.35319 | − | 1.25103i | −0.137352 | − | 0.0512443i | ||||
\(597\) | 9.05398 | 0.370555 | ||||||||
\(598\) | 17.6829 | + | 25.4707i | 0.723106 | + | 1.04157i | ||||
\(599\) | 25.5928 | 1.04569 | 0.522847 | − | 0.852426i | \(-0.324870\pi\) | ||||
0.522847 | + | 0.852426i | \(0.324870\pi\) | |||||||
\(600\) | 11.3009 | − | 8.50234i | 0.461357 | − | 0.347106i | ||||
\(601\) | 29.9225 | 1.22056 | 0.610282 | − | 0.792184i | \(-0.291056\pi\) | ||||
0.610282 | + | 0.792184i | \(0.291056\pi\) | |||||||
\(602\) | 4.47928 | + | 6.45203i | 0.182562 | + | 0.262965i | ||||
\(603\) | 7.44322 | 0.303111 | ||||||||
\(604\) | 7.44322 | − | 19.9504i | 0.302860 | − | 0.811768i | ||||
\(605\) | −33.0048 | − | 21.9923i | −1.34184 | − | 0.894113i | ||||
\(606\) | −6.00000 | − | 8.64251i | −0.243733 | − | 0.351078i | ||||
\(607\) | − | 20.6965i | − | 0.840046i | −0.907513 | − | 0.420023i | \(-0.862022\pi\) | ||
0.907513 | − | 0.420023i | \(-0.137978\pi\) | |||||||
\(608\) | 1.05061 | − | 9.75065i | 0.0426079 | − | 0.395441i | ||||
\(609\) | −5.03605 | −0.204071 | ||||||||
\(610\) | 0.389245 | + | 20.3994i | 0.0157601 | + | 0.825947i | ||||
\(611\) | 5.07131i | 0.205163i | ||||||||
\(612\) | 4.00000 | + | 1.49235i | 0.161690 | + | 0.0603246i | ||||
\(613\) | −22.6676 | −0.915537 | −0.457769 | − | 0.889071i | \(-0.651351\pi\) | ||||
−0.457769 | + | 0.889071i | \(0.651351\pi\) | |||||||
\(614\) | −26.2396 | + | 18.2167i | −1.05895 | + | 0.735166i | ||||
\(615\) | 21.0152 | + | 14.0032i | 0.847416 | + | 0.564663i | ||||
\(616\) | −2.79641 | − | 10.9627i | −0.112671 | − | 0.441698i | ||||
\(617\) | 22.1966i | 0.893603i | 0.894633 | + | 0.446802i | \(0.147437\pi\) | ||||
−0.894633 | + | 0.446802i | \(0.852563\pi\) | |||||||
\(618\) | −5.80538 | − | 8.36217i | −0.233527 | − | 0.336376i | ||||
\(619\) | 16.8204i | 0.676070i | 0.941133 | + | 0.338035i | \(0.109762\pi\) | ||||
−0.941133 | + | 0.338035i | \(0.890238\pi\) | |||||||
\(620\) | 9.59283 | − | 6.93466i | 0.385257 | − | 0.278503i | ||||
\(621\) | 7.49534i | 0.300777i | ||||||||
\(622\) | 21.5928 | − | 14.9907i | 0.865794 | − | 0.601071i | ||||
\(623\) | − | 5.66558i | − | 0.226987i | ||||||
\(624\) | 8.84143 | + | 7.66404i | 0.353940 | + | 0.306807i | ||||
\(625\) | −17.5872 | + | 17.7676i | −0.703489 | + | 0.710706i | ||||
\(626\) | −23.7008 | − | 34.1390i | −0.947274 | − | 1.36447i | ||||
\(627\) | −9.29362 | −0.371151 | ||||||||
\(628\) | −4.84143 | + | 12.9767i | −0.193194 | + | 0.517825i | ||||
\(629\) | 2.29434i | 0.0914813i | ||||||||
\(630\) | −0.0450160 | − | 2.35918i | −0.00179348 | − | 0.0939921i | ||||
\(631\) | −44.1205 | −1.75641 | −0.878204 | − | 0.478285i | \(-0.841258\pi\) | ||||
−0.878204 | + | 0.478285i | \(0.841258\pi\) | |||||||
\(632\) | −1.85039 | − | 7.25402i | −0.0736047 | − | 0.288549i | ||||
\(633\) | − | 2.53566i | − | 0.100783i | ||||||
\(634\) | −6.47301 | + | 4.49384i | −0.257076 | + | 0.178473i | ||||
\(635\) | 5.22441 | − | 7.84052i | 0.207324 | − | 0.311141i | ||||
\(636\) | 5.39821 | − | 14.4690i | 0.214053 | − | 0.573734i | ||||
\(637\) | 18.8477 | 0.746773 | ||||||||
\(638\) | −42.0305 | + | 29.1794i | −1.66400 | + | 1.15522i | ||||
\(639\) | 13.2936 | 0.525887 | ||||||||
\(640\) | 21.9719 | − | 12.5394i | 0.868515 | − | 0.495662i | ||||
\(641\) | −1.18566 | −0.0468307 | −0.0234154 | − | 0.999726i | \(-0.507454\pi\) | ||||
−0.0234154 | + | 0.999726i | \(0.507454\pi\) | |||||||
\(642\) | 4.64681 | − | 3.22601i | 0.183395 | − | 0.127321i | ||||
\(643\) | 22.5872 | 0.890754 | 0.445377 | − | 0.895343i | \(-0.353070\pi\) | ||||
0.445377 | + | 0.895343i | \(0.353070\pi\) | |||||||
\(644\) | 3.90997 | − | 10.4800i | 0.154074 | − | 0.412971i | ||||
\(645\) | 13.8504 | + | 9.22900i | 0.545359 | + | 0.363392i | ||||
\(646\) | −4.29921 | + | 2.98470i | −0.169150 | + | 0.117431i | ||||
\(647\) | − | 19.7090i | − | 0.774842i | −0.921903 | − | 0.387421i | \(-0.873366\pi\) | ||
0.921903 | − | 0.387421i | \(-0.126634\pi\) | |||||||
\(648\) | 0.699104 | + | 2.74067i | 0.0274634 | + | 0.107664i | ||||
\(649\) | 36.7368 | 1.44205 | ||||||||
\(650\) | −17.4287 | − | 11.1391i | −0.683608 | − | 0.436913i | ||||
\(651\) | − | 1.97498i | − | 0.0774056i | ||||||
\(652\) | −5.38365 | + | 14.4300i | −0.210840 | + | 0.565122i | ||||
\(653\) | 44.4585 | 1.73979 | 0.869897 | − | 0.493234i | \(-0.164185\pi\) | ||||
0.869897 | + | 0.493234i | \(0.164185\pi\) | |||||||
\(654\) | 16.0900 | + | 23.1764i | 0.629170 | + | 0.906268i | ||||
\(655\) | −12.7964 | + | 19.2042i | −0.499997 | + | 0.750369i | ||||
\(656\) | 34.1350 | + | 29.5894i | 1.33275 | + | 1.15527i | ||||
\(657\) | 0.690358i | 0.0269334i | ||||||||
\(658\) | 1.50280 | − | 1.04331i | 0.0585852 | − | 0.0406723i | ||||
\(659\) | 41.5863i | 1.61997i | 0.586448 | + | 0.809987i | \(0.300526\pi\) | ||||
−0.586448 | + | 0.809987i | \(0.699474\pi\) | |||||||
\(660\) | −14.0450 | − | 19.4287i | −0.546702 | − | 0.756261i | ||||
\(661\) | − | 12.0060i | − | 0.466978i | −0.972359 | − | 0.233489i | \(-0.924986\pi\) | ||
0.972359 | − | 0.233489i | \(-0.0750143\pi\) | |||||||
\(662\) | −11.0811 | − | 15.9614i | −0.430678 | − | 0.620356i | ||||
\(663\) | − | 6.24430i | − | 0.242509i | ||||||
\(664\) | 4.09003 | + | 16.0340i | 0.158724 | + | 0.622239i | ||||
\(665\) | 2.40717 | + | 1.60398i | 0.0933461 | + | 0.0621997i | ||||
\(666\) | −1.24860 | + | 0.866833i | −0.0483823 | + | 0.0335891i | ||||
\(667\) | −50.5872 | −1.95875 | ||||||||
\(668\) | −6.04502 | − | 2.25532i | −0.233889 | − | 0.0872609i | ||||
\(669\) | 12.1579i | 0.470051i | ||||||||
\(670\) | −23.5333 | + | 0.449042i | −0.909169 | + | 0.0173480i | ||||
\(671\) | 34.5872 | 1.33523 | ||||||||
\(672\) | 0.452186 | − | 4.19671i | 0.0174435 | − | 0.161892i | ||||
\(673\) | − | 14.5080i | − | 0.559244i | −0.960110 | − | 0.279622i | \(-0.909791\pi\) | ||
0.960110 | − | 0.279622i | \(-0.0902091\pi\) | |||||||
\(674\) | −16.7368 | − | 24.1080i | −0.644679 | − | 0.928607i | ||||
\(675\) | −1.92520 | − | 4.61450i | −0.0741009 | − | 0.177612i | ||||
\(676\) | −3.10627 | + | 8.32586i | −0.119472 | + | 0.320226i | ||||
\(677\) | 43.8600 | 1.68568 | 0.842839 | − | 0.538166i | \(-0.180883\pi\) | ||||
0.842839 | + | 0.538166i | \(0.180883\pi\) | |||||||
\(678\) | −9.72161 | − | 14.0032i | −0.373356 | − | 0.537789i | ||||
\(679\) | 10.5872 | 0.406301 | ||||||||
\(680\) | −12.7368 | − | 4.47705i | −0.488436 | − | 0.171687i | ||||
\(681\) | 20.7368 | 0.794637 | ||||||||
\(682\) | −11.4432 | − | 16.4830i | −0.438184 | − | 0.631168i | ||||
\(683\) | −5.33527 | −0.204148 | −0.102074 | − | 0.994777i | \(-0.532548\pi\) | ||||
−0.102074 | + | 0.994777i | \(0.532548\pi\) | |||||||
\(684\) | −3.24860 | − | 1.21201i | −0.124213 | − | 0.0463424i | ||||
\(685\) | −18.6468 | + | 27.9841i | −0.712458 | + | 1.06922i | ||||
\(686\) | −8.09003 | − | 11.6530i | −0.308879 | − | 0.444915i | ||||
\(687\) | 19.9504i | 0.761153i | ||||||||
\(688\) | 22.4972 | + | 19.5013i | 0.857698 | + | 0.743480i | ||||
\(689\) | −22.5872 | −0.860505 | ||||||||
\(690\) | −0.452186 | − | 23.6980i | −0.0172144 | − | 0.902168i | ||||
\(691\) | 39.7710i | 1.51296i | 0.654016 | + | 0.756480i | \(0.273083\pi\) | ||||
−0.654016 | + | 0.756480i | \(0.726917\pi\) | |||||||
\(692\) | 4.49383 | − | 12.0450i | 0.170830 | − | 0.457882i | ||||
\(693\) | −4.00000 | −0.151947 | ||||||||
\(694\) | −5.50280 | + | 3.82028i | −0.208883 | + | 0.145016i | ||||
\(695\) | −11.7424 | + | 17.6224i | −0.445416 | + | 0.668457i | ||||
\(696\) | −18.4972 | + | 4.71836i | −0.701135 | + | 0.178849i | ||||
\(697\) | − | 24.1080i | − | 0.913157i | ||||||
\(698\) | 0.389245 | + | 0.560675i | 0.0147331 | + | 0.0212219i | ||||
\(699\) | − | 13.3386i | − | 0.504514i | ||||||
\(700\) | 0.284654 | + | 7.45631i | 0.0107589 | + | 0.281822i | ||||
\(701\) | − | 27.5015i | − | 1.03872i | −0.854556 | − | 0.519359i | \(-0.826171\pi\) | ||
0.854556 | − | 0.519359i | \(-0.173829\pi\) | |||||||
\(702\) | 3.39821 | − | 2.35918i | 0.128257 | − | 0.0890416i | ||||
\(703\) | − | 1.86335i | − | 0.0702775i | ||||||
\(704\) | −20.5422 | − | 37.6454i | −0.774214 | − | 1.41881i | ||||
\(705\) | 2.14961 | − | 3.22601i | 0.0809589 | − | 0.121499i | ||||
\(706\) | −1.72161 | − | 2.47984i | −0.0647937 | − | 0.0933300i | ||||
\(707\) | 5.55118 | 0.208774 | ||||||||
\(708\) | 12.8414 | + | 4.79097i | 0.482611 | + | 0.180056i | ||||
\(709\) | − | 0.111632i | − | 0.00419244i | −0.999998 | − | 0.00209622i | \(-0.999333\pi\) | ||
0.999998 | − | 0.00209622i | \(-0.000667249\pi\) | |||||||
\(710\) | −42.0305 | + | 0.801991i | −1.57737 | + | 0.0300982i | ||||
\(711\) | −2.64681 | −0.0992631 | ||||||||
\(712\) | −5.30818 | − | 20.8094i | −0.198932 | − | 0.779866i | ||||
\(713\) | − | 19.8387i | − | 0.742966i | ||||||
\(714\) | −1.85039 | + | 1.28462i | −0.0692492 | + | 0.0480758i | ||||
\(715\) | −19.4432 | + | 29.1794i | −0.727135 | + | 1.09125i | ||||
\(716\) | −15.2486 | − | 5.68906i | −0.569867 | − | 0.212610i | ||||
\(717\) | 22.8864 | 0.854710 | ||||||||
\(718\) | −11.1440 | + | 7.73665i | −0.415891 | + | 0.288729i | ||||
\(719\) | −10.7064 | −0.399281 | −0.199640 | − | 0.979869i | \(-0.563977\pi\) | ||||
−0.199640 | + | 0.979869i | \(0.563977\pi\) | |||||||
\(720\) | −2.37570 | − | 8.62300i | −0.0885371 | − | 0.321360i | ||||
\(721\) | 5.37112 | 0.200031 | ||||||||
\(722\) | −18.5807 | + | 12.8995i | −0.691503 | + | 0.480071i | ||||
\(723\) | −3.59283 | −0.133619 | ||||||||
\(724\) | −2.79641 | − | 1.04331i | −0.103928 | − | 0.0387742i | ||||
\(725\) | 31.1440 | − | 12.9935i | 1.15666 | − | 0.482565i | ||||
\(726\) | −20.6049 | + | 14.3048i | −0.764721 | + | 0.530902i | ||||
\(727\) | − | 25.6562i | − | 0.951536i | −0.879571 | − | 0.475768i | \(-0.842170\pi\) | ||
0.879571 | − | 0.475768i | \(-0.157830\pi\) | |||||||
\(728\) | −5.98207 | + | 1.52594i | −0.221710 | + | 0.0565551i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −0.0416486 | − | 2.18271i | −0.00154149 | − | 0.0807856i | ||||
\(731\) | − | 15.8888i | − | 0.587667i | ||||||
\(732\) | 12.0900 | + | 4.51064i | 0.446860 | + | 0.166718i | ||||
\(733\) | 30.3684 | 1.12168 | 0.560842 | − | 0.827923i | \(-0.310478\pi\) | ||||
0.560842 | + | 0.827923i | \(0.310478\pi\) | |||||||
\(734\) | −27.4882 | − | 39.5945i | −1.01461 | − | 1.46146i | ||||
\(735\) | −11.9896 | − | 7.98908i | −0.442243 | − | 0.294682i | ||||
\(736\) | 4.54222 | − | 42.1560i | 0.167428 | − | 1.55389i | ||||
\(737\) | 39.9007i | 1.46976i | ||||||||
\(738\) | 13.1198 | − | 9.10834i | 0.482947 | − | 0.335283i | ||||
\(739\) | − | 20.1917i | − | 0.742763i | −0.928480 | − | 0.371381i | \(-0.878884\pi\) | ||
0.928480 | − | 0.371381i | \(-0.121116\pi\) | |||||||
\(740\) | 3.89541 | − | 2.81599i | 0.143198 | − | 0.103518i | ||||
\(741\) | 5.07131i | 0.186299i | ||||||||
\(742\) | 4.64681 | + | 6.69335i | 0.170590 | + | 0.245720i | ||||
\(743\) | − | 46.3863i | − | 1.70175i | −0.525369 | − | 0.850875i | \(-0.676073\pi\) | ||
0.525369 | − | 0.850875i | \(-0.323927\pi\) | |||||||
\(744\) | −1.85039 | − | 7.25402i | −0.0678387 | − | 0.265945i | ||||
\(745\) | 2.21881 | − | 3.32988i | 0.0812911 | − | 0.121997i | ||||
\(746\) | 5.03942 | − | 3.49858i | 0.184506 | − | 0.128092i | ||||
\(747\) | 5.85039 | 0.214055 | ||||||||
\(748\) | −8.00000 | + | 21.4427i | −0.292509 | + | 0.784023i | ||||
\(749\) | 2.98470i | 0.109059i | ||||||||
\(750\) | 6.36529 | + | 14.4735i | 0.232427 | + | 0.528499i | ||||
\(751\) | −27.1261 | −0.989845 | −0.494922 | − | 0.868937i | \(-0.664804\pi\) | ||||
−0.494922 | + | 0.868937i | \(0.664804\pi\) | |||||||
\(752\) | 4.54222 | − | 5.24002i | 0.165638 | − | 0.191084i | ||||
\(753\) | 8.82801i | 0.321710i | ||||||||
\(754\) | 15.9225 | + | 22.9351i | 0.579863 | + | 0.835245i | ||||
\(755\) | 19.8116 | + | 13.2012i | 0.721020 | + | 0.480441i | ||||
\(756\) | −1.39821 | − | 0.521653i | −0.0508523 | − | 0.0189724i | ||||
\(757\) | 45.2549 | 1.64482 | 0.822408 | − | 0.568898i | \(-0.192630\pi\) | ||||
0.822408 | + | 0.568898i | \(0.192630\pi\) | |||||||
\(758\) | −5.56574 | − | 8.01699i | −0.202157 | − | 0.291190i | ||||
\(759\) | −40.1801 | −1.45844 | ||||||||
\(760\) | 10.3442 | + | 3.63604i | 0.375225 | + | 0.131893i | ||||
\(761\) | 16.8864 | 0.612133 | 0.306067 | − | 0.952010i | \(-0.400987\pi\) | ||||
0.306067 | + | 0.952010i | \(0.400987\pi\) | |||||||
\(762\) | −3.39821 | − | 4.89484i | −0.123104 | − | 0.177321i | ||||
\(763\) | −14.8864 | −0.538926 | ||||||||
\(764\) | 4.81434 | − | 12.9041i | 0.174177 | − | 0.466852i | ||||
\(765\) | −2.64681 | + | 3.97219i | −0.0956956 | + | 0.143615i | ||||
\(766\) | 18.0450 | + | 25.9924i | 0.651993 | + | 0.939142i | ||||
\(767\) | − | 20.0464i | − | 0.723835i | ||||||
\(768\) | −2.27111 | − | 15.8380i | −0.0819516 | − | 0.571504i | ||||
\(769\) | −16.3297 | −0.588863 | −0.294431 | − | 0.955673i | \(-0.595130\pi\) | ||||
−0.294431 | + | 0.955673i | \(0.595130\pi\) | |||||||
\(770\) | 12.6468 | − | 0.241316i | 0.455759 | − | 0.00869643i | ||||
\(771\) | 22.2927i | 0.802853i | ||||||||
\(772\) | 30.8864 | + | 11.5233i | 1.11163 | + | 0.414734i | ||||
\(773\) | −41.3144 | −1.48598 | −0.742989 | − | 0.669304i | \(-0.766592\pi\) | ||||
−0.742989 | + | 0.669304i | \(0.766592\pi\) | |||||||
\(774\) | 8.64681 | − | 6.00299i | 0.310803 | − | 0.215773i | ||||
\(775\) | 5.09563 | + | 12.2137i | 0.183040 | + | 0.438729i | ||||
\(776\) | 38.8864 | − | 9.91936i | 1.39594 | − | 0.356084i | ||||
\(777\) | − | 0.801991i | − | 0.0287713i | ||||||
\(778\) | −8.88645 | − | 12.8002i | −0.318595 | − | 0.458909i | ||||
\(779\) | 19.5794i | 0.701503i | ||||||||
\(780\) | −10.6018 | + | 7.66404i | −0.379605 | + | 0.274417i | ||||
\(781\) | 71.2628i | 2.54998i | ||||||||
\(782\) | −18.5872 | + | 12.9041i | −0.664678 | + | 0.461448i | ||||
\(783\) | 6.74916i | 0.241195i | ||||||||
\(784\) | −19.4747 | − | 16.8813i | −0.695525 | − | 0.602904i | ||||
\(785\) | −12.8864 | − | 8.58669i | −0.459937 | − | 0.306472i | ||||
\(786\) | 8.32340 | + | 11.9892i | 0.296886 | + | 0.427640i | ||||
\(787\) | 11.4849 | 0.409391 | 0.204696 | − | 0.978826i | \(-0.434380\pi\) | ||||
0.204696 | + | 0.978826i | \(0.434380\pi\) | |||||||
\(788\) | 9.48824 | − | 25.4317i | 0.338005 | − | 0.905966i | ||||
\(789\) | − | 21.2014i | − | 0.754789i | ||||||
\(790\) | 8.36842 | − | 0.159679i | 0.297735 | − | 0.00568114i | ||||
\(791\) | 8.99440 | 0.319804 | ||||||||
\(792\) | −14.6918 | + | 3.74767i | −0.522051 | + | 0.133168i | ||||
\(793\) | − | 18.8735i | − | 0.670216i | ||||||
\(794\) | 29.3386 | − | 20.3681i | 1.04119 | − | 0.722838i | ||||
\(795\) | 14.3684 | + | 9.57418i | 0.509595 | + | 0.339561i | ||||
\(796\) | −6.32967 | + | 16.9657i | −0.224349 | + | 0.601332i | ||||
\(797\) | −45.4945 | −1.61150 | −0.805749 | − | 0.592257i | \(-0.798237\pi\) | ||||
−0.805749 | + | 0.592257i | \(0.798237\pi\) | |||||||
\(798\) | 1.50280 | − | 1.04331i | 0.0531985 | − | 0.0369327i | ||||
\(799\) | −3.70079 | −0.130924 | ||||||||
\(800\) | 8.03147 | + | 27.1200i | 0.283955 | + | 0.958837i | ||||
\(801\) | −7.59283 | −0.268279 | ||||||||
\(802\) | −8.47301 | + | 5.88233i | −0.299192 | + | 0.207712i | ||||
\(803\) | −3.70079 | −0.130598 | ||||||||
\(804\) | −5.20359 | + | 13.9474i | −0.183516 | + | 0.491886i | ||||
\(805\) | 10.4072 | + | 6.93466i | 0.366805 | + | 0.244415i | ||||
\(806\) | −8.99440 | + | 6.24430i | −0.316814 | + | 0.219946i | ||||
\(807\) | 14.6935i | 0.517237i | ||||||||
\(808\) | 20.3892 | − | 5.20100i | 0.717291 | − | 0.182970i | ||||
\(809\) | 36.0721 | 1.26823 | 0.634114 | − | 0.773240i | \(-0.281365\pi\) | ||||
0.634114 | + | 0.773240i | \(0.281365\pi\) | |||||||
\(810\) | −3.16170 | + | 0.0603290i | −0.111091 | + | 0.00211975i | ||||
\(811\) | − | 44.5230i | − | 1.56341i | −0.623646 | − | 0.781707i | \(-0.714349\pi\) | ||
0.623646 | − | 0.781707i | \(-0.285651\pi\) | |||||||
\(812\) | 3.52072 | − | 9.43673i | 0.123553 | − | 0.331164i | ||||
\(813\) | 20.2396 | 0.709835 | ||||||||
\(814\) | −4.64681 | − | 6.69335i | −0.162871 | − | 0.234602i | ||||
\(815\) | −14.3297 | − | 9.54836i | −0.501946 | − | 0.334464i | ||||
\(816\) | −5.59283 | + | 6.45203i | −0.195788 | + | 0.225866i | ||||
\(817\) | 12.9041i | 0.451456i | ||||||||
\(818\) | 18.4134 | − | 12.7834i | 0.643811 | − | 0.446961i | ||||
\(819\) | 2.18271i | 0.0762700i | ||||||||
\(820\) | −40.9315 | + | 29.5894i | −1.42939 | + | 1.03331i | ||||
\(821\) | − | 34.1613i | − | 1.19224i | −0.802897 | − | 0.596118i | \(-0.796709\pi\) | ||
0.802897 | − | 0.596118i | \(-0.203291\pi\) | |||||||
\(822\) | 12.1288 | + | 17.4705i | 0.423040 | + | 0.609354i | ||||
\(823\) | 2.12689i | 0.0741388i | 0.999313 | + | 0.0370694i | \(0.0118023\pi\) | ||||
−0.999313 | + | 0.0370694i | \(0.988198\pi\) | |||||||
\(824\) | 19.7279 | − | 5.03229i | 0.687253 | − | 0.175308i | ||||
\(825\) | 24.7368 | − | 10.3204i | 0.861226 | − | 0.359309i | ||||
\(826\) | −5.94043 | + | 4.12410i | −0.206694 | + | 0.143496i | ||||
\(827\) | −38.5872 | −1.34181 | −0.670905 | − | 0.741543i | \(-0.734094\pi\) | ||||
−0.670905 | + | 0.741543i | \(0.734094\pi\) | |||||||
\(828\) | −14.0450 | − | 5.24002i | −0.488098 | − | 0.182103i | ||||
\(829\) | − | 34.2351i | − | 1.18904i | −0.804083 | − | 0.594518i | \(-0.797343\pi\) | ||
0.804083 | − | 0.594518i | \(-0.202657\pi\) | |||||||
\(830\) | −18.4972 | + | 0.352949i | −0.642047 | + | 0.0122510i | ||||
\(831\) | 0.518027 | 0.0179701 | ||||||||
\(832\) | −20.5422 | + | 11.2094i | −0.712173 | + | 0.388617i | ||||
\(833\) | 13.7541i | 0.476551i | ||||||||
\(834\) | 7.63785 | + | 11.0017i | 0.264477 | + | 0.380957i | ||||
\(835\) | 4.00000 | − | 6.00299i | 0.138426 | − | 0.207742i | ||||
\(836\) | 6.49720 | − | 17.4147i | 0.224710 | − | 0.602300i | ||||
\(837\) | −2.64681 | −0.0914871 | ||||||||
\(838\) | −6.47301 | − | 9.32384i | −0.223606 | − | 0.322087i | ||||
\(839\) | 41.5928 | 1.43594 | 0.717972 | − | 0.696072i | \(-0.245071\pi\) | ||||
0.717972 | + | 0.696072i | \(0.245071\pi\) | |||||||
\(840\) | 4.45219 | + | 1.56496i | 0.153615 | + | 0.0539963i | ||||
\(841\) | −16.5512 | −0.570730 | ||||||||
\(842\) | −18.4972 | − | 26.6437i | −0.637456 | − | 0.918202i | ||||
\(843\) | −13.7008 | −0.471880 | ||||||||
\(844\) | 4.75140 | + | 1.77269i | 0.163550 | + | 0.0610184i | ||||
\(845\) | −8.26798 | − | 5.50924i | −0.284427 | − | 0.189524i | ||||
\(846\) | −1.39821 | − | 2.01400i | −0.0480714 | − | 0.0692428i | ||||
\(847\) | − | 13.2348i | − | 0.454752i | ||||||
\(848\) | 23.3386 | + | 20.2307i | 0.801452 | + | 0.694725i | ||||
\(849\) | 18.0305 | 0.618804 | ||||||||
\(850\) | 8.12878 | − | 12.7186i | 0.278815 | − | 0.436243i | ||||
\(851\) | − | 8.05601i | − | 0.276156i | ||||||
\(852\) | −9.29362 | + | 24.9100i | −0.318394 | + | 0.853404i | ||||
\(853\) | −23.1828 | −0.793763 | −0.396881 | − | 0.917870i | \(-0.629908\pi\) | ||||
−0.396881 | + | 0.917870i | \(0.629908\pi\) | |||||||
\(854\) | −5.59283 | + | 3.88278i | −0.191383 | + | 0.132866i | ||||
\(855\) | 2.14961 | − | 3.22601i | 0.0735150 | − | 0.110327i | ||||
\(856\) | 2.79641 | + | 10.9627i | 0.0955795 | + | 0.374696i | ||||
\(857\) | 9.38868i | 0.320711i | 0.987059 | + | 0.160356i | \(0.0512641\pi\) | ||||
−0.987059 | + | 0.160356i | \(0.948736\pi\) | |||||||
\(858\) | 12.6468 | + | 18.2167i | 0.431755 | + | 0.621907i | ||||
\(859\) | − | 8.98769i | − | 0.306656i | −0.988175 | − | 0.153328i | \(-0.951001\pi\) | ||
0.988175 | − | 0.153328i | \(-0.0489991\pi\) | |||||||
\(860\) | −26.9765 | + | 19.5013i | −0.919890 | + | 0.664989i | ||||
\(861\) | 8.42701i | 0.287192i | ||||||||
\(862\) | 40.7368 | − | 28.2813i | 1.38750 | − | 0.963264i | ||||
\(863\) | 12.2473i | 0.416903i | 0.978033 | + | 0.208451i | \(0.0668423\pi\) | ||||
−0.978033 | + | 0.208451i | \(0.933158\pi\) | |||||||
\(864\) | −5.62430 | − | 0.606006i | −0.191343 | − | 0.0206167i | ||||
\(865\) | 11.9612 | + | 7.97020i | 0.406695 | + | 0.270995i | ||||
\(866\) | 13.7729 | + | 19.8387i | 0.468022 | + | 0.674147i | ||||
\(867\) | −12.4432 | −0.422594 | ||||||||
\(868\) | 3.70079 | + | 1.38072i | 0.125613 | + | 0.0468646i | ||||
\(869\) | − | 14.1887i | − | 0.481318i | ||||||
\(870\) | −0.407170 | − | 21.3388i | −0.0138044 | − | 0.723454i | ||||
\(871\) | 21.7729 | 0.737746 | ||||||||
\(872\) | −54.6773 | + | 13.9474i | −1.85161 | + | 0.472317i | ||||
\(873\) | − | 14.1887i | − | 0.480214i | ||||||
\(874\) | 15.0956 | − | 10.4800i | 0.510617 | − | 0.354492i | ||||
\(875\) | −8.18836 | − | 1.59621i | −0.276817 | − | 0.0539618i | ||||
\(876\) | −1.29362 | − | 0.482632i | −0.0437073 | − | 0.0163066i | ||||
\(877\) | −26.1109 | −0.881701 | −0.440850 | − | 0.897581i | \(-0.645323\pi\) | ||||
−0.440850 | + | 0.897581i | \(0.645323\pi\) | |||||||
\(878\) | 9.91960 | − | 6.88661i | 0.334770 | − | 0.232412i | ||||
\(879\) | 15.9792 | 0.538964 | ||||||||
\(880\) | 46.2251 | − | 12.7354i | 1.55825 | − | 0.429309i | ||||
\(881\) | −38.4793 | −1.29640 | −0.648200 | − | 0.761470i | \(-0.724478\pi\) | ||||
−0.648200 | + | 0.761470i | \(0.724478\pi\) | |||||||
\(882\) | −7.48511 | + | 5.19648i | −0.252037 | + | 0.174975i | ||||
\(883\) | 6.58723 | 0.221678 | 0.110839 | − | 0.993838i | \(-0.464646\pi\) | ||||
0.110839 | + | 0.993838i | \(0.464646\pi\) | |||||||
\(884\) | 11.7008 | + | 4.36542i | 0.393540 | + | 0.146825i | ||||
\(885\) | −8.49720 | + | 12.7521i | −0.285630 | + | 0.428659i | ||||
\(886\) | −24.0900 | + | 16.7243i | −0.809320 | + | 0.561865i | ||||
\(887\) | 50.9595i | 1.71105i | 0.517760 | + | 0.855526i | \(0.326766\pi\) | ||||
−0.517760 | + | 0.855526i | \(0.673234\pi\) | |||||||
\(888\) | −0.751399 | − | 2.94568i | −0.0252153 | − | 0.0988505i | ||||
\(889\) | 3.14401 | 0.105447 | ||||||||
\(890\) | 24.0063 | − | 0.458068i | 0.804692 | − | 0.0153545i | ||||
\(891\) | 5.36068i | 0.179589i | ||||||||
\(892\) | −22.7819 | − | 8.49962i | −0.762793 | − | 0.284588i | ||||
\(893\) | 3.00560 | 0.100578 | ||||||||
\(894\) | −1.44322 | − | 2.07884i | −0.0482686 | − | 0.0695270i | ||||
\(895\) | 10.0900 | − | 15.1426i | 0.337273 | − | 0.506161i | ||||
\(896\) | 7.54781 | + | 3.78126i | 0.252155 | + | 0.126323i | ||||
\(897\) | 21.9253i | 0.732066i | ||||||||
\(898\) | −2.32340 | + | 1.61301i | −0.0775330 | + | 0.0538268i | ||||
\(899\) | − | 17.8637i | − | 0.595789i | ||||||
\(900\) | 9.99272 | − | 0.381485i | 0.333091 | − | 0.0127162i | ||||
\(901\) | − | 16.4830i | − | 0.549129i | ||||||
\(902\) | 48.8269 | + | 70.3311i | 1.62576 | + | 2.34177i | ||||
\(903\) | 5.55394i | 0.184824i | ||||||||
\(904\) | 33.0361 | − | 8.42701i | 1.09876 | − | 0.280278i | ||||
\(905\) | 1.85039 | − | 2.77697i | 0.0615092 | − | 0.0923097i | ||||
\(906\) | 12.3684 | − | 8.58669i | 0.410913 | − | 0.285274i | ||||
\(907\) | 24.5568 | 0.815394 | 0.407697 | − | 0.913117i | \(-0.366332\pi\) | ||||
0.407697 | + | 0.913117i | \(0.366332\pi\) | |||||||
\(908\) | −14.4972 | + | 38.8574i | −0.481107 | + | 1.28953i | ||||
\(909\) | − | 7.43952i | − | 0.246753i | ||||||
\(910\) | −0.131681 | − | 6.90107i | −0.00436517 | − | 0.228768i | ||||
\(911\) | 16.0000 | 0.530104 | 0.265052 | − | 0.964234i | \(-0.414611\pi\) | ||||
0.265052 | + | 0.964234i | \(0.414611\pi\) | |||||||
\(912\) | 4.54222 | − | 5.24002i | 0.150408 | − | 0.173514i | ||||
\(913\) | 31.3621i | 1.03793i | ||||||||
\(914\) | −1.03605 | − | 1.49235i | −0.0342696 | − | 0.0493625i | ||||
\(915\) | −8.00000 | + | 12.0060i | −0.264472 | + | 0.396905i | ||||
\(916\) | −37.3836 | − | 13.9474i | −1.23519 | − | 0.460834i | ||||
\(917\) | −7.70079 | −0.254302 | ||||||||
\(918\) | 1.72161 | + | 2.47984i | 0.0568217 | + | 0.0818469i | ||||
\(919\) | −28.7548 | −0.948532 | −0.474266 | − | 0.880382i | \(-0.657287\pi\) | ||||
−0.474266 | + | 0.880382i | \(0.657287\pi\) | |||||||
\(920\) | 44.7223 | + | 15.7201i | 1.47445 | + | 0.518275i | ||||
\(921\) | −22.5872 | −0.744275 | ||||||||
\(922\) | −12.6647 | − | 18.2425i | −0.417091 | − | 0.600785i | ||||
\(923\) | 38.8864 | 1.27996 | ||||||||
\(924\) | 2.79641 | − | 7.49534i | 0.0919953 | − | 0.246578i | ||||
\(925\) | 2.06921 | + | 4.95968i | 0.0680351 | + | 0.163073i | ||||
\(926\) | 15.0990 | + | 21.7489i | 0.496184 | + | 0.714712i | ||||
\(927\) | − | 7.19820i | − | 0.236420i | ||||||
\(928\) | 4.09003 | − | 37.9593i | 0.134262 | − | 1.24608i | ||||
\(929\) | −28.2880 | −0.928100 | −0.464050 | − | 0.885809i | \(-0.653604\pi\) | ||||
−0.464050 | + | 0.885809i | \(0.653604\pi\) | |||||||
\(930\) | 8.36842 | − | 0.159679i | 0.274411 | − | 0.00523609i | ||||
\(931\) | − | 11.1704i | − | 0.366095i | ||||||
\(932\) | 24.9944 | + | 9.32510i | 0.818719 | + | 0.305454i | ||||
\(933\) | 18.5872 | 0.608519 | ||||||||
\(934\) | −2.49720 | + | 1.73367i | −0.0817110 | + | 0.0567273i | ||||
\(935\) | −21.2936 | − | 14.1887i | −0.696376 | − | 0.464020i | ||||
\(936\) | 2.04502 | + | 8.01699i | 0.0668434 | + | 0.262044i | ||||
\(937\) | − | 33.9313i | − | 1.10849i | −0.832354 | − | 0.554244i | \(-0.813008\pi\) | ||
0.832354 | − | 0.554244i | \(-0.186992\pi\) | |||||||
\(938\) | −4.47928 | − | 6.45203i | −0.146254 | − | 0.210666i | ||||
\(939\) | − | 29.3871i | − | 0.959011i | ||||||
\(940\) | 4.54222 | + | 6.28332i | 0.148151 | + | 0.204939i | ||||
\(941\) | − | 38.8016i | − | 1.26490i | −0.774603 | − | 0.632448i | \(-0.782050\pi\) | ||
0.774603 | − | 0.632448i | \(-0.217950\pi\) | |||||||
\(942\) | −8.04502 | + | 5.58520i | −0.262121 | + | 0.181976i | ||||
\(943\) | 84.6495i | 2.75657i | ||||||||
\(944\) | −17.9550 | + | 20.7133i | −0.584385 | + | 0.674161i | ||||
\(945\) | 0.925197 | − | 1.38849i | 0.0300967 | − | 0.0451675i | ||||
\(946\) | 32.1801 | + | 46.3527i | 1.04626 | + | 1.50706i | ||||
\(947\) | −17.7729 | −0.577541 | −0.288771 | − | 0.957398i | \(-0.593247\pi\) | ||||
−0.288771 | + | 0.957398i | \(0.593247\pi\) | |||||||
\(948\) | 1.85039 | − | 4.95968i | 0.0600980 | − | 0.161083i | ||||
\(949\) | 2.01943i | 0.0655536i | ||||||||
\(950\) | −6.60179 | + | 10.3294i | −0.214190 | + | 0.335129i | ||||
\(951\) | −5.57201 | −0.180685 | ||||||||
\(952\) | −1.11355 | − | 4.36542i | −0.0360905 | − | 0.141484i | ||||
\(953\) | 46.3047i | 1.49996i | 0.661463 | + | 0.749978i | \(0.269936\pi\) | ||||
−0.661463 | + | 0.749978i | \(0.730064\pi\) | |||||||
\(954\) | 8.97021 | − | 6.22751i | 0.290421 | − | 0.201623i | ||||
\(955\) | 12.8143 | + | 8.53864i | 0.414662 | + | 0.276304i | ||||
\(956\) | −16.0000 | + | 42.8854i | −0.517477 | + | 1.38701i | ||||
\(957\) | −36.1801 | −1.16954 | ||||||||
\(958\) | −14.1496 | + | 9.82327i | −0.457153 | + | 0.317375i | ||||
\(959\) | −11.2215 | −0.362361 | ||||||||
\(960\) | 17.8189 | + | 1.57670i | 0.575103 | + | 0.0508878i | ||||
\(961\) | −23.9944 | −0.774013 | ||||||||
\(962\) | −3.65240 | + | 2.53566i | −0.117758 | + | 0.0817528i | ||||
\(963\) | 4.00000 | 0.128898 | ||||||||
\(964\) | 2.51176 | − | 6.73237i | 0.0808984 | − | 0.216835i | ||||
\(965\) | −20.4376 | + | 30.6717i | −0.657911 | + | 0.987357i | ||||
\(966\) | 6.49720 | − | 4.51064i | 0.209044 | − | 0.145127i | ||||
\(967\) | 9.28482i | 0.298580i | 0.988793 | + | 0.149290i | \(0.0476987\pi\) | ||||
−0.988793 | + | 0.149290i | \(0.952301\pi\) | |||||||
\(968\) | −12.3999 | − | 48.6108i | −0.398548 | − | 1.56241i | ||||
\(969\) | −3.70079 | −0.118886 | ||||||||
\(970\) | 0.855989 | + | 44.8604i | 0.0274842 | + | 1.44038i | ||||
\(971\) | 20.9301i | 0.671678i | 0.941919 | + | 0.335839i | \(0.109020\pi\) | ||||
−0.941919 | + | 0.335839i | \(0.890980\pi\) | |||||||
\(972\) | −0.699104 | + | 1.87383i | −0.0224238 | + | 0.0601033i | ||||
\(973\) | −7.06651 | −0.226542 | ||||||||
\(974\) | −20.7819 | − | 29.9346i | −0.665894 | − | 0.959165i | ||||
\(975\) | −5.63158 | − | 13.4983i | −0.180355 | − | 0.432292i | ||||
\(976\) | −16.9044 | + | 19.5013i | −0.541096 | + | 0.624222i | ||||
\(977\) | − | 30.8314i | − | 0.986383i | −0.869921 | − | 0.493192i | \(-0.835830\pi\) | ||
0.869921 | − | 0.493192i | \(-0.164170\pi\) | |||||||
\(978\) | −8.94602 | + | 6.21071i | −0.286062 | + | 0.198597i | ||||
\(979\) | − | 40.7027i | − | 1.30086i | ||||||
\(980\) | 23.3522 | − | 16.8813i | 0.745958 | − | 0.539253i | ||||
\(981\) | 19.9504i | 0.636966i | ||||||||
\(982\) | 13.5270 | + | 19.4845i | 0.431664 | + | 0.621776i | ||||
\(983\) | − | 31.3285i | − | 0.999223i | −0.866250 | − | 0.499612i | \(-0.833476\pi\) | ||
0.866250 | − | 0.499612i | \(-0.166524\pi\) | |||||||
\(984\) | 7.89541 | + | 30.9520i | 0.251696 | + | 0.986715i | ||||
\(985\) | 25.2549 | + | 16.8282i | 0.804687 | + | 0.536191i | ||||
\(986\) | −16.7368 | + | 11.6194i | −0.533010 | + | 0.370038i | ||||
\(987\) | 1.29362 | 0.0411763 | ||||||||
\(988\) | −9.50280 | − | 3.54537i | −0.302324 | − | 0.112793i | ||||
\(989\) | 55.7895i | 1.77400i | ||||||||
\(990\) | −0.323404 | − | 16.9489i | −0.0102785 | − | 0.538670i | ||||
\(991\) | 31.3420 | 0.995611 | 0.497806 | − | 0.867289i | \(-0.334139\pi\) | ||||
0.497806 | + | 0.867289i | \(0.334139\pi\) | |||||||
\(992\) | 14.8864 | + | 1.60398i | 0.472645 | + | 0.0509265i | ||||
\(993\) | − | 13.7396i | − | 0.436014i | ||||||
\(994\) | −8.00000 | − | 11.5233i | −0.253745 | − | 0.365498i | ||||
\(995\) | −16.8477 | − | 11.2262i | −0.534108 | − | 0.355895i | ||||
\(996\) | −4.09003 | + | 10.9627i | −0.129598 | + | 0.347365i | ||||
\(997\) | −20.9557 | −0.663672 | −0.331836 | − | 0.943337i | \(-0.607668\pi\) | ||||
−0.331836 | + | 0.943337i | \(0.607668\pi\) | |||||||
\(998\) | 14.2125 | + | 20.4720i | 0.449890 | + | 0.648030i | ||||
\(999\) | −1.07480 | −0.0340053 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))