Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(97,546)]
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([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bx (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: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 97.5 | ||
Character | \(\chi\) | \(=\) | 546.97 |
Dual form | 546.2.bx.a.349.5 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 2.52974 | + | 2.52974i | 1.13134 | + | 1.13134i | 0.989955 | + | 0.141380i | \(0.0451540\pi\) |
0.141380 | + | 0.989955i | \(0.454846\pi\) | |||||||
\(6\) | −0.258819 | + | 0.965926i | −0.105662 | + | 0.394338i | ||||
\(7\) | −2.48229 | − | 0.915557i | −0.938217 | − | 0.346048i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 1.78880 | − | 3.09829i | 0.565668 | − | 0.979765i | ||||
\(11\) | −0.141178 | + | 0.0378284i | −0.0425667 | + | 0.0114057i | −0.280040 | − | 0.959988i | \(-0.590348\pi\) |
0.237473 | + | 0.971394i | \(0.423681\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | −3.09703 | + | 1.84618i | −0.858962 | + | 0.512039i | ||||
\(14\) | −0.241896 | + | 2.63467i | −0.0646495 | + | 0.704145i | ||||
\(15\) | −0.925950 | − | 3.45569i | −0.239079 | − | 0.892256i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 2.55049 | + | 4.41758i | 0.618585 | + | 1.07142i | 0.989744 | + | 0.142851i | \(0.0456271\pi\) |
−0.371159 | + | 0.928569i | \(0.621040\pi\) | |||||||
\(18\) | 0.707107 | − | 0.707107i | 0.166667 | − | 0.166667i | ||||
\(19\) | −1.37483 | + | 5.13093i | −0.315408 | + | 1.17712i | 0.608202 | + | 0.793782i | \(0.291891\pi\) |
−0.923609 | + | 0.383335i | \(0.874776\pi\) | |||||||
\(20\) | −3.45569 | − | 0.925950i | −0.772717 | − | 0.207049i | ||||
\(21\) | 1.69195 | + | 2.03404i | 0.369213 | + | 0.443864i | ||||
\(22\) | 0.0730789 | + | 0.126576i | 0.0155805 | + | 0.0269862i | ||||
\(23\) | −4.87674 | − | 2.81559i | −1.01687 | − | 0.587090i | −0.103675 | − | 0.994611i | \(-0.533060\pi\) |
−0.913196 | + | 0.407521i | \(0.866393\pi\) | |||||||
\(24\) | −0.258819 | − | 0.965926i | −0.0528312 | − | 0.197169i | ||||
\(25\) | 7.79920i | 1.55984i | ||||||||
\(26\) | 2.58485 | + | 2.51368i | 0.506930 | + | 0.492973i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 2.60750 | − | 0.448249i | 0.492772 | − | 0.0847111i | ||||
\(29\) | −1.83299 | + | 3.17482i | −0.340377 | + | 0.589550i | −0.984503 | − | 0.175370i | \(-0.943888\pi\) |
0.644126 | + | 0.764920i | \(0.277221\pi\) | |||||||
\(30\) | −3.09829 | + | 1.78880i | −0.565668 | + | 0.326588i | ||||
\(31\) | 7.04095 | + | 7.04095i | 1.26459 | + | 1.26459i | 0.948842 | + | 0.315750i | \(0.102256\pi\) |
0.315750 | + | 0.948842i | \(0.397744\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 0.141178 | + | 0.0378284i | 0.0245759 | + | 0.00658508i | ||||
\(34\) | 3.60694 | − | 3.60694i | 0.618585 | − | 0.618585i | ||||
\(35\) | −3.96343 | − | 8.59568i | −0.669942 | − | 1.45293i | ||||
\(36\) | −0.866025 | − | 0.500000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | 3.66064 | − | 0.980866i | 0.601806 | − | 0.161253i | 0.0549627 | − | 0.998488i | \(-0.482496\pi\) |
0.546843 | + | 0.837235i | \(0.315829\pi\) | |||||||
\(38\) | 5.31193 | 0.861710 | ||||||||
\(39\) | 3.60520 | − | 0.0503243i | 0.577294 | − | 0.00805834i | ||||
\(40\) | 3.57760i | 0.565668i | ||||||||
\(41\) | −6.98851 | + | 1.87256i | −1.09142 | + | 0.292445i | −0.759267 | − | 0.650780i | \(-0.774442\pi\) |
−0.332155 | + | 0.943225i | \(0.607776\pi\) | |||||||
\(42\) | 1.52682 | − | 2.16074i | 0.235594 | − | 0.333410i | ||||
\(43\) | 2.79434 | − | 1.61331i | 0.426132 | − | 0.246028i | −0.271565 | − | 0.962420i | \(-0.587541\pi\) |
0.697698 | + | 0.716392i | \(0.254208\pi\) | |||||||
\(44\) | 0.103349 | − | 0.103349i | 0.0155805 | − | 0.0155805i | ||||
\(45\) | −0.925950 | + | 3.45569i | −0.138033 | + | 0.515144i | ||||
\(46\) | −1.45746 | + | 5.43930i | −0.214890 | + | 0.801981i | ||||
\(47\) | 1.81311 | − | 1.81311i | 0.264469 | − | 0.264469i | −0.562398 | − | 0.826867i | \(-0.690121\pi\) |
0.826867 | + | 0.562398i | \(0.190121\pi\) | |||||||
\(48\) | −0.866025 | + | 0.500000i | −0.125000 | + | 0.0721688i | ||||
\(49\) | 5.32351 | + | 4.54535i | 0.760502 | + | 0.649336i | ||||
\(50\) | 7.53345 | − | 2.01858i | 1.06539 | − | 0.285471i | ||||
\(51\) | − | 5.10098i | − | 0.714281i | ||||||
\(52\) | 1.75902 | − | 3.14736i | 0.243932 | − | 0.436460i | ||||
\(53\) | 7.13879 | 0.980589 | 0.490294 | − | 0.871557i | \(-0.336889\pi\) | ||||
0.490294 | + | 0.871557i | \(0.336889\pi\) | |||||||
\(54\) | −0.965926 | + | 0.258819i | −0.131446 | + | 0.0352208i | ||||
\(55\) | −0.452839 | − | 0.261447i | −0.0610608 | − | 0.0352535i | ||||
\(56\) | −1.10785 | − | 2.40264i | −0.148042 | − | 0.321066i | ||||
\(57\) | 3.75610 | − | 3.75610i | 0.497508 | − | 0.497508i | ||||
\(58\) | 3.54106 | + | 0.948823i | 0.464963 | + | 0.124587i | ||||
\(59\) | −4.08824 | − | 1.09544i | −0.532244 | − | 0.142614i | −0.0173194 | − | 0.999850i | \(-0.505513\pi\) |
−0.514924 | + | 0.857236i | \(0.672180\pi\) | |||||||
\(60\) | 2.52974 | + | 2.52974i | 0.326588 | + | 0.326588i | ||||
\(61\) | 9.62468 | − | 5.55681i | 1.23231 | − | 0.711477i | 0.264803 | − | 0.964303i | \(-0.414693\pi\) |
0.967512 | + | 0.252825i | \(0.0813599\pi\) | |||||||
\(62\) | 4.97871 | − | 8.62337i | 0.632296 | − | 1.09517i | ||||
\(63\) | −0.448249 | − | 2.60750i | −0.0564741 | − | 0.328515i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −12.5051 | − | 3.16433i | −1.55106 | − | 0.392487i | ||||
\(66\) | − | 0.146158i | − | 0.0179908i | ||||||
\(67\) | 1.29264 | + | 4.82420i | 0.157921 | + | 0.589370i | 0.998837 | + | 0.0482049i | \(0.0153500\pi\) |
−0.840916 | + | 0.541165i | \(0.817983\pi\) | |||||||
\(68\) | −4.41758 | − | 2.55049i | −0.535710 | − | 0.309293i | ||||
\(69\) | 2.81559 | + | 4.87674i | 0.338957 | + | 0.587090i | ||||
\(70\) | −7.27697 | + | 6.05310i | −0.869765 | + | 0.723484i | ||||
\(71\) | 6.47842 | + | 1.73589i | 0.768847 | + | 0.206012i | 0.621862 | − | 0.783127i | \(-0.286376\pi\) |
0.146985 | + | 0.989139i | \(0.453043\pi\) | |||||||
\(72\) | −0.258819 | + | 0.965926i | −0.0305021 | + | 0.113835i | ||||
\(73\) | −7.91676 | + | 7.91676i | −0.926587 | + | 0.926587i | −0.997484 | − | 0.0708965i | \(-0.977414\pi\) |
0.0708965 | + | 0.997484i | \(0.477414\pi\) | |||||||
\(74\) | −1.89489 | − | 3.28204i | −0.220276 | − | 0.381530i | ||||
\(75\) | 3.89960 | − | 6.75431i | 0.450287 | − | 0.779920i | ||||
\(76\) | −1.37483 | − | 5.13093i | −0.157704 | − | 0.588559i | ||||
\(77\) | 0.385078 | + | 0.0353550i | 0.0438837 | + | 0.00402908i | ||||
\(78\) | −0.981704 | − | 3.46933i | −0.111156 | − | 0.392824i | ||||
\(79\) | −8.03063 | −0.903517 | −0.451758 | − | 0.892140i | \(-0.649203\pi\) | ||||
−0.451758 | + | 0.892140i | \(0.649203\pi\) | |||||||
\(80\) | 3.45569 | − | 0.925950i | 0.386358 | − | 0.103524i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 3.61752 | + | 6.26572i | 0.399488 | + | 0.691933i | ||||
\(83\) | −5.59369 | − | 5.59369i | −0.613988 | − | 0.613988i | 0.329995 | − | 0.943983i | \(-0.392953\pi\) |
−0.943983 | + | 0.329995i | \(0.892953\pi\) | |||||||
\(84\) | −2.48229 | − | 0.915557i | −0.270840 | − | 0.0998954i | ||||
\(85\) | −4.72326 | + | 17.6274i | −0.512309 | + | 1.91196i | ||||
\(86\) | −2.28157 | − | 2.28157i | −0.246028 | − | 0.246028i | ||||
\(87\) | 3.17482 | − | 1.83299i | 0.340377 | − | 0.196517i | ||||
\(88\) | −0.126576 | − | 0.0730789i | −0.0134931 | − | 0.00779024i | ||||
\(89\) | −3.28299 | − | 12.2523i | −0.347997 | − | 1.29874i | −0.889072 | − | 0.457767i | \(-0.848649\pi\) |
0.541075 | − | 0.840974i | \(-0.318017\pi\) | |||||||
\(90\) | 3.57760 | 0.377112 | ||||||||
\(91\) | 9.37801 | − | 1.74725i | 0.983083 | − | 0.183161i | ||||
\(92\) | 5.63117 | 0.587090 | ||||||||
\(93\) | −2.57717 | − | 9.61812i | −0.267240 | − | 0.997353i | ||||
\(94\) | −2.22059 | − | 1.28206i | −0.229037 | − | 0.132234i | ||||
\(95\) | −16.4579 | + | 9.50198i | −1.68855 | + | 0.974883i | ||||
\(96\) | 0.707107 | + | 0.707107i | 0.0721688 | + | 0.0721688i | ||||
\(97\) | 1.80716 | − | 6.74442i | 0.183489 | − | 0.684792i | −0.811460 | − | 0.584409i | \(-0.801327\pi\) |
0.994949 | − | 0.100383i | \(-0.0320068\pi\) | |||||||
\(98\) | 3.01265 | − | 6.31854i | 0.304323 | − | 0.638269i | ||||
\(99\) | −0.103349 | − | 0.103349i | −0.0103870 | − | 0.0103870i | ||||
\(100\) | −3.89960 | − | 6.75431i | −0.389960 | − | 0.675431i | ||||
\(101\) | −5.05039 | + | 8.74753i | −0.502532 | + | 0.870411i | 0.497463 | + | 0.867485i | \(0.334265\pi\) |
−0.999996 | + | 0.00292646i | \(0.999068\pi\) | |||||||
\(102\) | −4.92717 | + | 1.32023i | −0.487863 | + | 0.130722i | ||||
\(103\) | −8.14972 | −0.803016 | −0.401508 | − | 0.915855i | \(-0.631514\pi\) | ||||
−0.401508 | + | 0.915855i | \(0.631514\pi\) | |||||||
\(104\) | −3.49538 | − | 0.884485i | −0.342750 | − | 0.0867309i | ||||
\(105\) | −0.865407 | + | 9.42579i | −0.0844551 | + | 0.919863i | ||||
\(106\) | −1.84766 | − | 6.89555i | −0.179460 | − | 0.669755i | ||||
\(107\) | 0.0773176 | − | 0.133918i | 0.00747457 | − | 0.0129463i | −0.862264 | − | 0.506459i | \(-0.830954\pi\) |
0.869738 | + | 0.493513i | \(0.164287\pi\) | |||||||
\(108\) | 0.500000 | + | 0.866025i | 0.0481125 | + | 0.0833333i | ||||
\(109\) | −5.77656 | + | 5.77656i | −0.553294 | + | 0.553294i | −0.927390 | − | 0.374096i | \(-0.877953\pi\) |
0.374096 | + | 0.927390i | \(0.377953\pi\) | |||||||
\(110\) | −0.135335 | + | 0.505077i | −0.0129037 | + | 0.0481572i | ||||
\(111\) | −3.66064 | − | 0.980866i | −0.347453 | − | 0.0930997i | ||||
\(112\) | −2.03404 | + | 1.69195i | −0.192199 | + | 0.159874i | ||||
\(113\) | −0.0357767 | − | 0.0619671i | −0.00336559 | − | 0.00582937i | 0.864338 | − | 0.502912i | \(-0.167738\pi\) |
−0.867703 | + | 0.497082i | \(0.834405\pi\) | |||||||
\(114\) | −4.60027 | − | 2.65597i | −0.430855 | − | 0.248754i | ||||
\(115\) | −5.21419 | − | 19.4596i | −0.486225 | − | 1.81462i | ||||
\(116\) | − | 3.66597i | − | 0.340377i | ||||||
\(117\) | −3.14736 | − | 1.75902i | −0.290973 | − | 0.162621i | ||||
\(118\) | 4.23246i | 0.389629i | ||||||||
\(119\) | −2.28651 | − | 13.3008i | −0.209604 | − | 1.21929i | ||||
\(120\) | 1.78880 | − | 3.09829i | 0.163294 | − | 0.282834i | ||||
\(121\) | −9.50778 | + | 5.48932i | −0.864344 | + | 0.499029i | ||||
\(122\) | −7.85852 | − | 7.85852i | −0.711477 | − | 0.711477i | ||||
\(123\) | 6.98851 | + | 1.87256i | 0.630132 | + | 0.168843i | ||||
\(124\) | −9.61812 | − | 2.57717i | −0.863733 | − | 0.231436i | ||||
\(125\) | −7.08126 | + | 7.08126i | −0.633367 | + | 0.633367i | ||||
\(126\) | −2.40264 | + | 1.10785i | −0.214044 | + | 0.0986948i | ||||
\(127\) | −6.70337 | − | 3.87019i | −0.594828 | − | 0.343424i | 0.172176 | − | 0.985066i | \(-0.444920\pi\) |
−0.767004 | + | 0.641642i | \(0.778254\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −3.22662 | −0.284088 | ||||||||
\(130\) | 0.180040 | + | 12.8980i | 0.0157906 | + | 1.13123i | ||||
\(131\) | − | 1.11889i | − | 0.0977578i | −0.998805 | − | 0.0488789i | \(-0.984435\pi\) | ||
0.998805 | − | 0.0488789i | \(-0.0155648\pi\) | |||||||
\(132\) | −0.141178 | + | 0.0378284i | −0.0122879 | + | 0.00329254i | ||||
\(133\) | 8.11038 | − | 11.4777i | 0.703260 | − | 0.995245i | ||||
\(134\) | 4.32526 | − | 2.49719i | 0.373646 | − | 0.215724i | ||||
\(135\) | 2.52974 | − | 2.52974i | 0.217726 | − | 0.217726i | ||||
\(136\) | −1.32023 | + | 4.92717i | −0.113209 | + | 0.422501i | ||||
\(137\) | 3.69259 | − | 13.7809i | 0.315479 | − | 1.17738i | −0.608064 | − | 0.793888i | \(-0.708054\pi\) |
0.923543 | − | 0.383495i | \(-0.125280\pi\) | |||||||
\(138\) | 3.98184 | − | 3.98184i | 0.338957 | − | 0.338957i | ||||
\(139\) | 13.4946 | − | 7.79111i | 1.14460 | − | 0.660834i | 0.197032 | − | 0.980397i | \(-0.436870\pi\) |
0.947565 | + | 0.319563i | \(0.103536\pi\) | |||||||
\(140\) | 7.73027 | + | 5.46236i | 0.653327 | + | 0.461654i | ||||
\(141\) | −2.47675 | + | 0.663644i | −0.208580 | + | 0.0558889i | ||||
\(142\) | − | 6.70695i | − | 0.562835i | ||||||
\(143\) | 0.367394 | − | 0.377795i | 0.0307230 | − | 0.0315928i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −12.6685 | + | 3.39451i | −1.05206 | + | 0.281898i | ||||
\(146\) | 9.69602 | + | 5.59800i | 0.802448 | + | 0.463294i | ||||
\(147\) | −2.33762 | − | 6.59815i | −0.192804 | − | 0.544206i | ||||
\(148\) | −2.67978 | + | 2.67978i | −0.220276 | + | 0.220276i | ||||
\(149\) | 17.7313 | + | 4.75108i | 1.45260 | + | 0.389224i | 0.896928 | − | 0.442176i | \(-0.145793\pi\) |
0.555675 | + | 0.831400i | \(0.312460\pi\) | |||||||
\(150\) | −7.53345 | − | 2.01858i | −0.615104 | − | 0.164817i | ||||
\(151\) | 12.9899 | + | 12.9899i | 1.05710 | + | 1.05710i | 0.998268 | + | 0.0588357i | \(0.0187388\pi\) |
0.0588357 | + | 0.998268i | \(0.481261\pi\) | |||||||
\(152\) | −4.60027 | + | 2.65597i | −0.373131 | + | 0.215427i | ||||
\(153\) | −2.55049 | + | 4.41758i | −0.206195 | + | 0.357140i | ||||
\(154\) | −0.0655151 | − | 0.381107i | −0.00527936 | − | 0.0307105i | ||||
\(155\) | 35.6236i | 2.86136i | ||||||||
\(156\) | −3.09703 | + | 1.84618i | −0.247961 | + | 0.147813i | ||||
\(157\) | − | 14.7243i | − | 1.17513i | −0.809178 | − | 0.587564i | \(-0.800087\pi\) | ||
0.809178 | − | 0.587564i | \(-0.199913\pi\) | |||||||
\(158\) | 2.07848 | + | 7.75700i | 0.165355 | + | 0.617114i | ||||
\(159\) | −6.18238 | − | 3.56940i | −0.490294 | − | 0.283072i | ||||
\(160\) | −1.78880 | − | 3.09829i | −0.141417 | − | 0.244941i | ||||
\(161\) | 9.52765 | + | 11.4540i | 0.750884 | + | 0.902704i | ||||
\(162\) | 0.965926 | + | 0.258819i | 0.0758903 | + | 0.0203347i | ||||
\(163\) | −3.21246 | + | 11.9891i | −0.251619 | + | 0.939055i | 0.718321 | + | 0.695712i | \(0.244911\pi\) |
−0.969940 | + | 0.243343i | \(0.921756\pi\) | |||||||
\(164\) | 5.11594 | − | 5.11594i | 0.399488 | − | 0.399488i | ||||
\(165\) | 0.261447 | + | 0.452839i | 0.0203536 | + | 0.0352535i | ||||
\(166\) | −3.95534 | + | 6.85085i | −0.306994 | + | 0.531729i | ||||
\(167\) | 2.88019 | + | 10.7490i | 0.222876 | + | 0.831783i | 0.983244 | + | 0.182292i | \(0.0583516\pi\) |
−0.760369 | + | 0.649492i | \(0.774982\pi\) | |||||||
\(168\) | −0.241896 | + | 2.63467i | −0.0186627 | + | 0.203269i | ||||
\(169\) | 6.18322 | − | 11.4354i | 0.475633 | − | 0.879644i | ||||
\(170\) | 18.2493 | 1.39965 | ||||||||
\(171\) | −5.13093 | + | 1.37483i | −0.392372 | + | 0.105136i | ||||
\(172\) | −1.61331 | + | 2.79434i | −0.123014 | + | 0.213066i | ||||
\(173\) | −6.62282 | − | 11.4711i | −0.503523 | − | 0.872128i | −0.999992 | − | 0.00407317i | \(-0.998703\pi\) |
0.496468 | − | 0.868055i | \(-0.334630\pi\) | |||||||
\(174\) | −2.59223 | − | 2.59223i | −0.196517 | − | 0.196517i | ||||
\(175\) | 7.14061 | − | 19.3599i | 0.539779 | − | 1.46347i | ||||
\(176\) | −0.0378284 | + | 0.141178i | −0.00285143 | + | 0.0106417i | ||||
\(177\) | 2.99280 | + | 2.99280i | 0.224953 | + | 0.224953i | ||||
\(178\) | −10.9851 | + | 6.34226i | −0.823369 | + | 0.475372i | ||||
\(179\) | 13.1577 | + | 7.59659i | 0.983451 | + | 0.567796i | 0.903310 | − | 0.428988i | \(-0.141130\pi\) |
0.0801407 | + | 0.996784i | \(0.474463\pi\) | |||||||
\(180\) | −0.925950 | − | 3.45569i | −0.0690163 | − | 0.257572i | ||||
\(181\) | −1.51565 | −0.112658 | −0.0563288 | − | 0.998412i | \(-0.517940\pi\) | ||||
−0.0563288 | + | 0.998412i | \(0.517940\pi\) | |||||||
\(182\) | −4.11492 | − | 8.60624i | −0.305018 | − | 0.637937i | ||||
\(183\) | −11.1136 | −0.821543 | ||||||||
\(184\) | −1.45746 | − | 5.43930i | −0.107445 | − | 0.400990i | ||||
\(185\) | 11.7418 | + | 6.77915i | 0.863276 | + | 0.498413i | ||||
\(186\) | −8.62337 | + | 4.97871i | −0.632296 | + | 0.365056i | ||||
\(187\) | −0.527182 | − | 0.527182i | −0.0385514 | − | 0.0385514i | ||||
\(188\) | −0.663644 | + | 2.47675i | −0.0484012 | + | 0.180636i | ||||
\(189\) | −0.915557 | + | 2.48229i | −0.0665969 | + | 0.180560i | ||||
\(190\) | 13.4378 | + | 13.4378i | 0.974883 | + | 0.974883i | ||||
\(191\) | −7.50536 | − | 12.9997i | −0.543069 | − | 0.940623i | −0.998726 | − | 0.0504674i | \(-0.983929\pi\) |
0.455657 | − | 0.890156i | \(-0.349404\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | 19.8473 | − | 5.31807i | 1.42864 | − | 0.382803i | 0.540100 | − | 0.841601i | \(-0.318386\pi\) |
0.888541 | + | 0.458797i | \(0.151720\pi\) | |||||||
\(194\) | −6.98233 | −0.501302 | ||||||||
\(195\) | 9.24754 | + | 8.99292i | 0.662230 | + | 0.643997i | ||||
\(196\) | −6.88297 | − | 1.27463i | −0.491641 | − | 0.0910452i | ||||
\(197\) | −3.60071 | − | 13.4380i | −0.256540 | − | 0.957420i | −0.967227 | − | 0.253912i | \(-0.918283\pi\) |
0.710687 | − | 0.703508i | \(-0.248384\pi\) | |||||||
\(198\) | −0.0730789 | + | 0.126576i | −0.00519349 | + | 0.00899539i | ||||
\(199\) | 4.61379 | + | 7.99132i | 0.327063 | + | 0.566490i | 0.981928 | − | 0.189256i | \(-0.0606077\pi\) |
−0.654865 | + | 0.755746i | \(0.727274\pi\) | |||||||
\(200\) | −5.51487 | + | 5.51487i | −0.389960 | + | 0.389960i | ||||
\(201\) | 1.29264 | − | 4.82420i | 0.0911759 | − | 0.340273i | ||||
\(202\) | 9.75660 | + | 2.61427i | 0.686472 | + | 0.183940i | ||||
\(203\) | 7.45673 | − | 6.20263i | 0.523360 | − | 0.435339i | ||||
\(204\) | 2.55049 | + | 4.41758i | 0.178570 | + | 0.309293i | ||||
\(205\) | −22.4162 | − | 12.9420i | −1.56562 | − | 0.903910i | ||||
\(206\) | 2.10930 | + | 7.87203i | 0.146962 | + | 0.548470i | ||||
\(207\) | − | 5.63117i | − | 0.391394i | ||||||
\(208\) | 0.0503243 | + | 3.60520i | 0.00348936 | + | 0.249976i | ||||
\(209\) | − | 0.776381i | − | 0.0537034i | ||||||
\(210\) | 9.32860 | − | 1.60365i | 0.643734 | − | 0.110663i | ||||
\(211\) | 7.84722 | − | 13.5918i | 0.540225 | − | 0.935697i | −0.458666 | − | 0.888609i | \(-0.651673\pi\) |
0.998891 | − | 0.0470880i | \(-0.0149941\pi\) | |||||||
\(212\) | −6.18238 | + | 3.56940i | −0.424607 | + | 0.245147i | ||||
\(213\) | −4.74253 | − | 4.74253i | −0.324953 | − | 0.324953i | ||||
\(214\) | −0.149366 | − | 0.0400225i | −0.0102105 | − | 0.00273588i | ||||
\(215\) | 11.1502 | + | 2.98769i | 0.760439 | + | 0.203759i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | −11.0313 | − | 23.9241i | −0.748852 | − | 1.62407i | ||||
\(218\) | 7.07481 | + | 4.08464i | 0.479167 | + | 0.276647i | ||||
\(219\) | 10.8145 | − | 2.89774i | 0.730776 | − | 0.195811i | ||||
\(220\) | 0.522894 | 0.0352535 | ||||||||
\(221\) | −16.0546 | − | 8.97272i | −1.07995 | − | 0.603571i | ||||
\(222\) | 3.78978i | 0.254353i | ||||||||
\(223\) | 3.98854 | − | 1.06873i | 0.267092 | − | 0.0715672i | −0.122787 | − | 0.992433i | \(-0.539183\pi\) |
0.389880 | + | 0.920866i | \(0.372517\pi\) | |||||||
\(224\) | 2.16074 | + | 1.52682i | 0.144371 | + | 0.102015i | ||||
\(225\) | −6.75431 | + | 3.89960i | −0.450287 | + | 0.259973i | ||||
\(226\) | −0.0505959 | + | 0.0505959i | −0.00336559 | + | 0.00336559i | ||||
\(227\) | 6.88324 | − | 25.6886i | 0.456857 | − | 1.70501i | −0.225715 | − | 0.974193i | \(-0.572472\pi\) |
0.682572 | − | 0.730819i | \(-0.260861\pi\) | |||||||
\(228\) | −1.37483 | + | 5.13093i | −0.0910503 | + | 0.339804i | ||||
\(229\) | −14.2644 | + | 14.2644i | −0.942616 | + | 0.942616i | −0.998441 | − | 0.0558250i | \(-0.982221\pi\) |
0.0558250 | + | 0.998441i | \(0.482221\pi\) | |||||||
\(230\) | −17.4470 | + | 10.0730i | −1.15042 | + | 0.664196i | ||||
\(231\) | −0.315810 | − | 0.223157i | −0.0207787 | − | 0.0146827i | ||||
\(232\) | −3.54106 | + | 0.948823i | −0.232482 | + | 0.0622933i | ||||
\(233\) | − | 13.2012i | − | 0.864839i | −0.901673 | − | 0.432419i | \(-0.857660\pi\) | ||
0.901673 | − | 0.432419i | \(-0.142340\pi\) | |||||||
\(234\) | −0.884485 | + | 3.49538i | −0.0578206 | + | 0.228500i | ||||
\(235\) | 9.17339 | 0.598406 | ||||||||
\(236\) | 4.08824 | − | 1.09544i | 0.266122 | − | 0.0713071i | ||||
\(237\) | 6.95473 | + | 4.01532i | 0.451758 | + | 0.260823i | ||||
\(238\) | −12.2558 | + | 5.65111i | −0.794427 | + | 0.366307i | ||||
\(239\) | −16.1493 | + | 16.1493i | −1.04461 | + | 1.04461i | −0.0456558 | + | 0.998957i | \(0.514538\pi\) |
−0.998957 | + | 0.0456558i | \(0.985462\pi\) | |||||||
\(240\) | −3.45569 | − | 0.925950i | −0.223064 | − | 0.0597698i | ||||
\(241\) | 26.0443 | + | 6.97856i | 1.67766 | + | 0.449529i | 0.967161 | − | 0.254165i | \(-0.0818007\pi\) |
0.710503 | + | 0.703694i | \(0.248467\pi\) | |||||||
\(242\) | 7.76307 | + | 7.76307i | 0.499029 | + | 0.499029i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −5.55681 | + | 9.62468i | −0.355739 | + | 0.616157i | ||||
\(245\) | 1.96855 | + | 24.9657i | 0.125766 | + | 1.59500i | ||||
\(246\) | − | 7.23503i | − | 0.461289i | ||||||
\(247\) | −5.21475 | − | 18.4289i | −0.331806 | − | 1.17260i | ||||
\(248\) | 9.95741i | 0.632296i | ||||||||
\(249\) | 2.04743 | + | 7.64113i | 0.129751 | + | 0.484237i | ||||
\(250\) | 8.67274 | + | 5.00721i | 0.548512 | + | 0.316684i | ||||
\(251\) | −14.9142 | − | 25.8321i | −0.941374 | − | 1.63051i | −0.762853 | − | 0.646572i | \(-0.776202\pi\) |
−0.178522 | − | 0.983936i | \(-0.557131\pi\) | |||||||
\(252\) | 1.69195 | + | 2.03404i | 0.106583 | + | 0.128132i | ||||
\(253\) | 0.794996 | + | 0.213018i | 0.0499810 | + | 0.0133924i | ||||
\(254\) | −2.00336 | + | 7.47664i | −0.125702 | + | 0.469126i | ||||
\(255\) | 12.9042 | − | 12.9042i | 0.808091 | − | 0.808091i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 9.14454 | − | 15.8388i | 0.570421 | − | 0.987997i | −0.426102 | − | 0.904675i | \(-0.640114\pi\) |
0.996523 | − | 0.0833222i | \(-0.0265531\pi\) | |||||||
\(258\) | 0.835111 | + | 3.11668i | 0.0519918 | + | 0.194036i | ||||
\(259\) | −9.98481 | − | 0.916732i | −0.620426 | − | 0.0569630i | ||||
\(260\) | 12.4119 | − | 3.51214i | 0.769751 | − | 0.217814i | ||||
\(261\) | −3.66597 | −0.226918 | ||||||||
\(262\) | −1.08076 | + | 0.289590i | −0.0667698 | + | 0.0178909i | ||||
\(263\) | −7.04212 | + | 12.1973i | −0.434236 | + | 0.752119i | −0.997233 | − | 0.0743403i | \(-0.976315\pi\) |
0.562997 | + | 0.826459i | \(0.309648\pi\) | |||||||
\(264\) | 0.0730789 | + | 0.126576i | 0.00449770 | + | 0.00779024i | ||||
\(265\) | 18.0593 | + | 18.0593i | 1.10938 | + | 1.10938i | ||||
\(266\) | −13.1858 | − | 4.86338i | −0.808470 | − | 0.298193i | ||||
\(267\) | −3.28299 | + | 12.2523i | −0.200916 | + | 0.749829i | ||||
\(268\) | −3.53156 | − | 3.53156i | −0.215724 | − | 0.215724i | ||||
\(269\) | −18.5454 | + | 10.7072i | −1.13074 | + | 0.652830i | −0.944120 | − | 0.329603i | \(-0.893085\pi\) |
−0.186616 | + | 0.982433i | \(0.559752\pi\) | |||||||
\(270\) | −3.09829 | − | 1.78880i | −0.188556 | − | 0.108863i | ||||
\(271\) | 8.10518 | + | 30.2489i | 0.492355 | + | 1.83749i | 0.544368 | + | 0.838846i | \(0.316769\pi\) |
−0.0520136 | + | 0.998646i | \(0.516564\pi\) | |||||||
\(272\) | 5.10098 | 0.309293 | ||||||||
\(273\) | −8.99522 | − | 3.17584i | −0.544416 | − | 0.192211i | ||||
\(274\) | −14.2671 | −0.861905 | ||||||||
\(275\) | −0.295032 | − | 1.10107i | −0.0177911 | − | 0.0663972i | ||||
\(276\) | −4.87674 | − | 2.81559i | −0.293545 | − | 0.169478i | ||||
\(277\) | 1.43943 | − | 0.831056i | 0.0864870 | − | 0.0499333i | −0.456133 | − | 0.889912i | \(-0.650766\pi\) |
0.542620 | + | 0.839978i | \(0.317432\pi\) | |||||||
\(278\) | −11.0183 | − | 11.0183i | −0.660834 | − | 0.660834i | ||||
\(279\) | −2.57717 | + | 9.61812i | −0.154291 | + | 0.575822i | ||||
\(280\) | 3.27549 | − | 8.88063i | 0.195748 | − | 0.530719i | ||||
\(281\) | 7.44786 | + | 7.44786i | 0.444302 | + | 0.444302i | 0.893455 | − | 0.449153i | \(-0.148274\pi\) |
−0.449153 | + | 0.893455i | \(0.648274\pi\) | |||||||
\(282\) | 1.28206 | + | 2.22059i | 0.0763456 | + | 0.132234i | ||||
\(283\) | −5.72365 | + | 9.91366i | −0.340236 | + | 0.589306i | −0.984476 | − | 0.175517i | \(-0.943840\pi\) |
0.644240 | + | 0.764823i | \(0.277174\pi\) | |||||||
\(284\) | −6.47842 | + | 1.73589i | −0.384423 | + | 0.103006i | ||||
\(285\) | 19.0040 | 1.12570 | ||||||||
\(286\) | −0.460011 | − | 0.257094i | −0.0272010 | − | 0.0152023i | ||||
\(287\) | 19.0619 | + | 1.75013i | 1.12519 | + | 0.103307i | ||||
\(288\) | −0.258819 | − | 0.965926i | −0.0152511 | − | 0.0569177i | ||||
\(289\) | −4.51001 | + | 7.81157i | −0.265295 | + | 0.459504i | ||||
\(290\) | 6.55768 | + | 11.3582i | 0.385080 | + | 0.666979i | ||||
\(291\) | −4.93725 | + | 4.93725i | −0.289427 | + | 0.289427i | ||||
\(292\) | 2.89774 | − | 10.8145i | 0.169577 | − | 0.632871i | ||||
\(293\) | 26.4297 | + | 7.08181i | 1.54404 | + | 0.413724i | 0.927568 | − | 0.373654i | \(-0.121895\pi\) |
0.616471 | + | 0.787378i | \(0.288562\pi\) | |||||||
\(294\) | −5.76830 | + | 3.96569i | −0.336414 | + | 0.231284i | ||||
\(295\) | −7.57101 | − | 13.1134i | −0.440801 | − | 0.763491i | ||||
\(296\) | 3.28204 | + | 1.89489i | 0.190765 | + | 0.110138i | ||||
\(297\) | 0.0378284 | + | 0.141178i | 0.00219503 | + | 0.00819196i | ||||
\(298\) | − | 18.3568i | − | 1.06338i | ||||||
\(299\) | 20.3015 | − | 0.283385i | 1.17407 | − | 0.0163886i | ||||
\(300\) | 7.79920i | 0.450287i | ||||||||
\(301\) | −8.41343 | + | 1.44633i | −0.484942 | + | 0.0833651i | ||||
\(302\) | 9.18525 | − | 15.9093i | 0.528552 | − | 0.915478i | ||||
\(303\) | 8.74753 | − | 5.05039i | 0.502532 | − | 0.290137i | ||||
\(304\) | 3.75610 | + | 3.75610i | 0.215427 | + | 0.215427i | ||||
\(305\) | 38.4053 | + | 10.2907i | 2.19908 | + | 0.589242i | ||||
\(306\) | 4.92717 | + | 1.32023i | 0.281668 | + | 0.0754726i | ||||
\(307\) | 17.1877 | − | 17.1877i | 0.980952 | − | 0.980952i | −0.0188701 | − | 0.999822i | \(-0.506007\pi\) |
0.999822 | + | 0.0188701i | \(0.00600689\pi\) | |||||||
\(308\) | −0.351165 | + | 0.161920i | −0.0200095 | + | 0.00922628i | ||||
\(309\) | 7.05787 | + | 4.07486i | 0.401508 | + | 0.231811i | ||||
\(310\) | 34.4098 | − | 9.22007i | 1.95434 | − | 0.523665i | ||||
\(311\) | 12.9484 | 0.734237 | 0.367118 | − | 0.930174i | \(-0.380344\pi\) | ||||
0.367118 | + | 0.930174i | \(0.380344\pi\) | |||||||
\(312\) | 2.58485 | + | 2.51368i | 0.146338 | + | 0.142309i | ||||
\(313\) | 14.9687i | 0.846084i | 0.906110 | + | 0.423042i | \(0.139038\pi\) | ||||
−0.906110 | + | 0.423042i | \(0.860962\pi\) | |||||||
\(314\) | −14.2226 | + | 3.81093i | −0.802628 | + | 0.215063i | ||||
\(315\) | 5.46236 | − | 7.73027i | 0.307769 | − | 0.435551i | ||||
\(316\) | 6.95473 | − | 4.01532i | 0.391234 | − | 0.225879i | ||||
\(317\) | −6.93196 | + | 6.93196i | −0.389338 | + | 0.389338i | −0.874451 | − | 0.485113i | \(-0.838778\pi\) |
0.485113 | + | 0.874451i | \(0.338778\pi\) | |||||||
\(318\) | −1.84766 | + | 6.89555i | −0.103611 | + | 0.386683i | ||||
\(319\) | 0.138678 | − | 0.517553i | 0.00776447 | − | 0.0289774i | ||||
\(320\) | −2.52974 | + | 2.52974i | −0.141417 | + | 0.141417i | ||||
\(321\) | −0.133918 | + | 0.0773176i | −0.00747457 | + | 0.00431545i | ||||
\(322\) | 8.59781 | − | 12.1675i | 0.479137 | − | 0.678069i | ||||
\(323\) | −26.1728 | + | 7.01298i | −1.45629 | + | 0.390213i | ||||
\(324\) | − | 1.00000i | − | 0.0555556i | ||||||
\(325\) | −14.3987 | − | 24.1544i | −0.798699 | − | 1.33984i | ||||
\(326\) | 12.4120 | 0.687436 | ||||||||
\(327\) | 7.89092 | − | 2.11437i | 0.436369 | − | 0.116925i | ||||
\(328\) | −6.26572 | − | 3.61752i | −0.345967 | − | 0.199744i | ||||
\(329\) | −6.16066 | + | 2.84065i | −0.339648 | + | 0.156610i | ||||
\(330\) | 0.369742 | − | 0.369742i | 0.0203536 | − | 0.0203536i | ||||
\(331\) | 33.2990 | + | 8.92245i | 1.83028 | + | 0.490422i | 0.997958 | − | 0.0638711i | \(-0.0203447\pi\) |
0.832322 | + | 0.554293i | \(0.187011\pi\) | |||||||
\(332\) | 7.64113 | + | 2.04743i | 0.419361 | + | 0.112368i | ||||
\(333\) | 2.67978 | + | 2.67978i | 0.146851 | + | 0.146851i | ||||
\(334\) | 9.63730 | − | 5.56410i | 0.527330 | − | 0.304454i | ||||
\(335\) | −8.93395 | + | 15.4740i | −0.488114 | + | 0.845437i | ||||
\(336\) | 2.60750 | − | 0.448249i | 0.142251 | − | 0.0244540i | ||||
\(337\) | 36.1304i | 1.96815i | 0.177751 | + | 0.984075i | \(0.443118\pi\) | ||||
−0.177751 | + | 0.984075i | \(0.556882\pi\) | |||||||
\(338\) | −12.6461 | − | 3.01284i | −0.687855 | − | 0.163877i | ||||
\(339\) | 0.0715534i | 0.00388625i | ||||||||
\(340\) | −4.72326 | − | 17.6274i | −0.256155 | − | 0.955982i | ||||
\(341\) | −1.26037 | − | 0.727677i | −0.0682530 | − | 0.0394059i | ||||
\(342\) | 2.65597 | + | 4.60027i | 0.143618 | + | 0.248754i | ||||
\(343\) | −9.05297 | − | 16.1568i | −0.488814 | − | 0.872388i | ||||
\(344\) | 3.11668 | + | 0.835111i | 0.168040 | + | 0.0450262i | ||||
\(345\) | −5.21419 | + | 19.4596i | −0.280722 | + | 1.04767i | ||||
\(346\) | −9.36608 | + | 9.36608i | −0.503523 | + | 0.503523i | ||||
\(347\) | 5.51197 | + | 9.54701i | 0.295898 | + | 0.512510i | 0.975193 | − | 0.221355i | \(-0.0710478\pi\) |
−0.679295 | + | 0.733865i | \(0.737715\pi\) | |||||||
\(348\) | −1.83299 | + | 3.17482i | −0.0982583 | + | 0.170188i | ||||
\(349\) | 1.93308 | + | 7.21435i | 0.103475 | + | 0.386175i | 0.998168 | − | 0.0605076i | \(-0.0192719\pi\) |
−0.894692 | + | 0.446683i | \(0.852605\pi\) | |||||||
\(350\) | −20.5483 | − | 1.88660i | −1.09835 | − | 0.100843i | ||||
\(351\) | 1.84618 | + | 3.09703i | 0.0985419 | + | 0.165307i | ||||
\(352\) | 0.146158 | 0.00779024 | ||||||||
\(353\) | −11.9077 | + | 3.19067i | −0.633785 | + | 0.169822i | −0.561387 | − | 0.827554i | \(-0.689732\pi\) |
−0.0723982 | + | 0.997376i | \(0.523065\pi\) | |||||||
\(354\) | 2.11623 | − | 3.66542i | 0.112476 | − | 0.194815i | ||||
\(355\) | 11.9974 | + | 20.7801i | 0.636755 | + | 1.10289i | ||||
\(356\) | 8.96931 | + | 8.96931i | 0.475372 | + | 0.475372i | ||||
\(357\) | −4.67024 | + | 12.6621i | −0.247175 | + | 0.670150i | ||||
\(358\) | 3.93228 | − | 14.6755i | 0.207828 | − | 0.775623i | ||||
\(359\) | −2.29322 | − | 2.29322i | −0.121031 | − | 0.121031i | 0.643997 | − | 0.765028i | \(-0.277275\pi\) |
−0.765028 | + | 0.643997i | \(0.777275\pi\) | |||||||
\(360\) | −3.09829 | + | 1.78880i | −0.163294 | + | 0.0942780i | ||||
\(361\) | −7.98185 | − | 4.60832i | −0.420097 | − | 0.242543i | ||||
\(362\) | 0.392280 | + | 1.46401i | 0.0206178 | + | 0.0769466i | ||||
\(363\) | 10.9786 | 0.576229 | ||||||||
\(364\) | −7.24797 | + | 6.20217i | −0.379897 | + | 0.325082i | ||||
\(365\) | −40.0548 | −2.09656 | ||||||||
\(366\) | 2.87642 | + | 10.7349i | 0.150353 | + | 0.561124i | ||||
\(367\) | −0.769489 | − | 0.444265i | −0.0401670 | − | 0.0231904i | 0.479782 | − | 0.877388i | \(-0.340716\pi\) |
−0.519949 | + | 0.854197i | \(0.674049\pi\) | |||||||
\(368\) | −4.87674 | + | 2.81559i | −0.254218 | + | 0.146773i | ||||
\(369\) | −5.11594 | − | 5.11594i | −0.266325 | − | 0.266325i | ||||
\(370\) | 3.50914 | − | 13.0963i | 0.182432 | − | 0.680845i | ||||
\(371\) | −17.7205 | − | 6.53597i | −0.920005 | − | 0.339331i | ||||
\(372\) | 7.04095 | + | 7.04095i | 0.365056 | + | 0.365056i | ||||
\(373\) | 2.90414 | + | 5.03012i | 0.150371 | + | 0.260450i | 0.931364 | − | 0.364090i | \(-0.118620\pi\) |
−0.780993 | + | 0.624540i | \(0.785287\pi\) | |||||||
\(374\) | −0.372774 | + | 0.645664i | −0.0192757 | + | 0.0333865i | ||||
\(375\) | 9.67318 | − | 2.59192i | 0.499521 | − | 0.133846i | ||||
\(376\) | 2.56412 | 0.132234 | ||||||||
\(377\) | −0.184487 | − | 13.2166i | −0.00950158 | − | 0.680687i | ||||
\(378\) | 2.63467 | + | 0.241896i | 0.135513 | + | 0.0124418i | ||||
\(379\) | −5.36510 | − | 20.0228i | −0.275586 | − | 1.02850i | −0.955447 | − | 0.295162i | \(-0.904627\pi\) |
0.679861 | − | 0.733341i | \(-0.262040\pi\) | |||||||
\(380\) | 9.50198 | − | 16.4579i | 0.487441 | − | 0.844273i | ||||
\(381\) | 3.87019 | + | 6.70337i | 0.198276 | + | 0.343424i | ||||
\(382\) | −10.6142 | + | 10.6142i | −0.543069 | + | 0.543069i | ||||
\(383\) | −1.97902 | + | 7.38580i | −0.101123 | + | 0.377397i | −0.997877 | − | 0.0651339i | \(-0.979253\pi\) |
0.896753 | + | 0.442531i | \(0.145919\pi\) | |||||||
\(384\) | −0.965926 | − | 0.258819i | −0.0492922 | − | 0.0132078i | ||||
\(385\) | 0.884708 | + | 1.06359i | 0.0450889 | + | 0.0542054i | ||||
\(386\) | −10.2737 | − | 17.7946i | −0.522919 | − | 0.905722i | ||||
\(387\) | 2.79434 | + | 1.61331i | 0.142044 | + | 0.0820092i | ||||
\(388\) | 1.80716 | + | 6.74442i | 0.0917447 | + | 0.342396i | ||||
\(389\) | 14.5405i | 0.737234i | 0.929581 | + | 0.368617i | \(0.120169\pi\) | ||||
−0.929581 | + | 0.368617i | \(0.879831\pi\) | |||||||
\(390\) | 6.29306 | − | 11.2600i | 0.318661 | − | 0.570171i | ||||
\(391\) | − | 28.7245i | − | 1.45266i | ||||||
\(392\) | 0.550243 | + | 6.97834i | 0.0277915 | + | 0.352459i | ||||
\(393\) | −0.559445 | + | 0.968986i | −0.0282202 | + | 0.0488789i | ||||
\(394\) | −12.0482 | + | 6.95604i | −0.606980 | + | 0.350440i | ||||
\(395\) | −20.3154 | − | 20.3154i | −1.02218 | − | 1.02218i | ||||
\(396\) | 0.141178 | + | 0.0378284i | 0.00709444 | + | 0.00190095i | ||||
\(397\) | 8.47081 | + | 2.26975i | 0.425138 | + | 0.113915i | 0.465043 | − | 0.885288i | \(-0.346039\pi\) |
−0.0399051 | + | 0.999203i | \(0.512706\pi\) | |||||||
\(398\) | 6.52489 | − | 6.52489i | 0.327063 | − | 0.327063i | ||||
\(399\) | −12.7627 | + | 5.88481i | −0.638932 | + | 0.294609i | ||||
\(400\) | 6.75431 | + | 3.89960i | 0.337715 | + | 0.194980i | ||||
\(401\) | 24.9872 | − | 6.69529i | 1.24780 | − | 0.334347i | 0.426313 | − | 0.904576i | \(-0.359812\pi\) |
0.821486 | + | 0.570229i | \(0.193145\pi\) | |||||||
\(402\) | −4.99438 | −0.249097 | ||||||||
\(403\) | −34.8049 | − | 8.80718i | −1.73376 | − | 0.438717i | ||||
\(404\) | − | 10.1008i | − | 0.502532i | ||||||
\(405\) | −3.45569 | + | 0.925950i | −0.171715 | + | 0.0460108i | ||||
\(406\) | −7.92122 | − | 5.59729i | −0.393124 | − | 0.277789i | ||||
\(407\) | −0.479696 | + | 0.276953i | −0.0237777 | + | 0.0137280i | ||||
\(408\) | 3.60694 | − | 3.60694i | 0.178570 | − | 0.178570i | ||||
\(409\) | −5.40561 | + | 20.1740i | −0.267290 | + | 0.997541i | 0.693543 | + | 0.720415i | \(0.256049\pi\) |
−0.960834 | + | 0.277126i | \(0.910618\pi\) | |||||||
\(410\) | −6.69928 | + | 25.0021i | −0.330854 | + | 1.23476i | ||||
\(411\) | −10.0883 | + | 10.0883i | −0.497621 | + | 0.497621i | ||||
\(412\) | 7.05787 | − | 4.07486i | 0.347716 | − | 0.200754i | ||||
\(413\) | 9.14525 | + | 6.46221i | 0.450008 | + | 0.317985i | ||||
\(414\) | −5.43930 | + | 1.45746i | −0.267327 | + | 0.0716300i | ||||
\(415\) | − | 28.3012i | − | 1.38925i | ||||||
\(416\) | 3.46933 | − | 0.981704i | 0.170098 | − | 0.0481320i | ||||
\(417\) | −15.5822 | −0.763065 | ||||||||
\(418\) | −0.749926 | + | 0.200942i | −0.0366801 | + | 0.00982840i | ||||
\(419\) | −14.7014 | − | 8.48788i | −0.718212 | − | 0.414660i | 0.0958821 | − | 0.995393i | \(-0.469433\pi\) |
−0.814094 | + | 0.580733i | \(0.802766\pi\) | |||||||
\(420\) | −3.96343 | − | 8.59568i | −0.193396 | − | 0.419426i | ||||
\(421\) | 16.0883 | − | 16.0883i | 0.784096 | − | 0.784096i | −0.196423 | − | 0.980519i | \(-0.562933\pi\) |
0.980519 | + | 0.196423i | \(0.0629327\pi\) | |||||||
\(422\) | −15.1597 | − | 4.06202i | −0.737961 | − | 0.197736i | ||||
\(423\) | 2.47675 | + | 0.663644i | 0.120424 | + | 0.0322675i | ||||
\(424\) | 5.04789 | + | 5.04789i | 0.245147 | + | 0.245147i | ||||
\(425\) | −34.4536 | + | 19.8918i | −1.67125 | + | 0.964894i | ||||
\(426\) | −3.35348 | + | 5.80839i | −0.162476 | + | 0.281418i | ||||
\(427\) | −28.9788 | + | 4.98167i | −1.40238 | + | 0.241080i | ||||
\(428\) | 0.154635i | 0.00747457i | ||||||||
\(429\) | −0.507070 | + | 0.143484i | −0.0244816 | + | 0.00692746i | ||||
\(430\) | − | 11.5436i | − | 0.556680i | ||||||
\(431\) | −0.746143 | − | 2.78464i | −0.0359404 | − | 0.134131i | 0.945625 | − | 0.325260i | \(-0.105452\pi\) |
−0.981565 | + | 0.191129i | \(0.938785\pi\) | |||||||
\(432\) | −0.866025 | − | 0.500000i | −0.0416667 | − | 0.0240563i | ||||
\(433\) | −16.0890 | − | 27.8670i | −0.773189 | − | 1.33920i | −0.935807 | − | 0.352513i | \(-0.885327\pi\) |
0.162618 | − | 0.986689i | \(-0.448006\pi\) | |||||||
\(434\) | −20.2538 | + | 16.8474i | −0.972212 | + | 0.808701i | ||||
\(435\) | 12.6685 | + | 3.39451i | 0.607407 | + | 0.162754i | ||||
\(436\) | 2.11437 | − | 7.89092i | 0.101260 | − | 0.377907i | ||||
\(437\) | 21.1513 | − | 21.1513i | 1.01180 | − | 1.01180i | ||||
\(438\) | −5.59800 | − | 9.69602i | −0.267483 | − | 0.463294i | ||||
\(439\) | −9.52788 | + | 16.5028i | −0.454741 | + | 0.787635i | −0.998673 | − | 0.0514945i | \(-0.983602\pi\) |
0.543932 | + | 0.839129i | \(0.316935\pi\) | |||||||
\(440\) | −0.135335 | − | 0.505077i | −0.00645184 | − | 0.0240786i | ||||
\(441\) | −1.27463 | + | 6.88297i | −0.0606968 | + | 0.327761i | ||||
\(442\) | −4.51174 | + | 17.8299i | −0.214602 | + | 0.848081i | ||||
\(443\) | −15.5732 | −0.739904 | −0.369952 | − | 0.929051i | \(-0.620626\pi\) | ||||
−0.369952 | + | 0.929051i | \(0.620626\pi\) | |||||||
\(444\) | 3.66064 | − | 0.980866i | 0.173726 | − | 0.0465499i | ||||
\(445\) | 22.6900 | − | 39.3003i | 1.07561 | − | 1.86301i | ||||
\(446\) | −2.06462 | − | 3.57603i | −0.0977626 | − | 0.169330i | ||||
\(447\) | −12.9802 | − | 12.9802i | −0.613942 | − | 0.613942i | ||||
\(448\) | 0.915557 | − | 2.48229i | 0.0432560 | − | 0.117277i | ||||
\(449\) | 6.58392 | − | 24.5715i | 0.310714 | − | 1.15960i | −0.617199 | − | 0.786807i | \(-0.711733\pi\) |
0.927914 | − | 0.372795i | \(-0.121600\pi\) | |||||||
\(450\) | 5.51487 | + | 5.51487i | 0.259973 | + | 0.259973i | ||||
\(451\) | 0.915784 | − | 0.528728i | 0.0431226 | − | 0.0248968i | ||||
\(452\) | 0.0619671 | + | 0.0357767i | 0.00291469 | + | 0.00168279i | ||||
\(453\) | −4.75463 | − | 17.7445i | −0.223392 | − | 0.833711i | ||||
\(454\) | −26.5948 | −1.24816 | ||||||||
\(455\) | 28.1441 | + | 19.3039i | 1.31941 | + | 0.904980i | ||||
\(456\) | 5.31193 | 0.248754 | ||||||||
\(457\) | 7.14603 | + | 26.6694i | 0.334277 | + | 1.24754i | 0.904650 | + | 0.426154i | \(0.140132\pi\) |
−0.570373 | + | 0.821386i | \(0.693201\pi\) | |||||||
\(458\) | 17.4702 | + | 10.0864i | 0.816329 | + | 0.471308i | ||||
\(459\) | 4.41758 | − | 2.55049i | 0.206195 | − | 0.119047i | ||||
\(460\) | 14.2454 | + | 14.2454i | 0.664196 | + | 0.664196i | ||||
\(461\) | −7.08637 | + | 26.4467i | −0.330045 | + | 1.23174i | 0.579097 | + | 0.815259i | \(0.303405\pi\) |
−0.909142 | + | 0.416486i | \(0.863261\pi\) | |||||||
\(462\) | −0.133816 | + | 0.362806i | −0.00622567 | + | 0.0168793i | ||||
\(463\) | 13.3036 | + | 13.3036i | 0.618271 | + | 0.618271i | 0.945088 | − | 0.326817i | \(-0.105976\pi\) |
−0.326817 | + | 0.945088i | \(0.605976\pi\) | |||||||
\(464\) | 1.83299 | + | 3.17482i | 0.0850942 | + | 0.147387i | ||||
\(465\) | 17.8118 | − | 30.8509i | 0.826003 | − | 1.43068i | ||||
\(466\) | −12.7514 | + | 3.41672i | −0.590696 | + | 0.158276i | ||||
\(467\) | 32.2700 | 1.49328 | 0.746640 | − | 0.665229i | \(-0.231666\pi\) | ||||
0.746640 | + | 0.665229i | \(0.231666\pi\) | |||||||
\(468\) | 3.60520 | − | 0.0503243i | 0.166650 | − | 0.00232624i | ||||
\(469\) | 1.20812 | − | 13.1586i | 0.0557859 | − | 0.607605i | ||||
\(470\) | −2.37425 | − | 8.86082i | −0.109516 | − | 0.408719i | ||||
\(471\) | −7.36216 | + | 12.7516i | −0.339230 | + | 0.587564i | ||||
\(472\) | −2.11623 | − | 3.66542i | −0.0974073 | − | 0.168714i | ||||
\(473\) | −0.333469 | + | 0.333469i | −0.0153329 | + | 0.0153329i | ||||
\(474\) | 2.07848 | − | 7.75700i | 0.0954678 | − | 0.356291i | ||||
\(475\) | −40.0172 | − | 10.7226i | −1.83611 | − | 0.491985i | ||||
\(476\) | 8.63059 | + | 10.3756i | 0.395583 | + | 0.475565i | ||||
\(477\) | 3.56940 | + | 6.18238i | 0.163431 | + | 0.283072i | ||||
\(478\) | 19.7788 | + | 11.4193i | 0.904661 | + | 0.522307i | ||||
\(479\) | 6.91383 | + | 25.8028i | 0.315901 | + | 1.17896i | 0.923148 | + | 0.384445i | \(0.125607\pi\) |
−0.607247 | + | 0.794513i | \(0.707726\pi\) | |||||||
\(480\) | 3.57760i | 0.163294i | ||||||||
\(481\) | −9.52627 | + | 9.79599i | −0.434361 | + | 0.446659i | ||||
\(482\) | − | 26.9631i | − | 1.22814i | ||||||
\(483\) | −2.52417 | − | 14.6833i | −0.114854 | − | 0.668113i | ||||
\(484\) | 5.48932 | − | 9.50778i | 0.249514 | − | 0.432172i | ||||
\(485\) | 21.6333 | − | 12.4900i | 0.982317 | − | 0.567141i | ||||
\(486\) | −0.707107 | − | 0.707107i | −0.0320750 | − | 0.0320750i | ||||
\(487\) | 7.81258 | + | 2.09337i | 0.354022 | + | 0.0948598i | 0.431447 | − | 0.902138i | \(-0.358003\pi\) |
−0.0774252 | + | 0.996998i | \(0.524670\pi\) | |||||||
\(488\) | 10.7349 | + | 2.87642i | 0.485948 | + | 0.130209i | ||||
\(489\) | 8.77660 | − | 8.77660i | 0.396891 | − | 0.396891i | ||||
\(490\) | 23.6055 | − | 8.36307i | 1.06639 | − | 0.377805i | ||||
\(491\) | −24.2765 | − | 14.0161i | −1.09558 | − | 0.632536i | −0.160527 | − | 0.987031i | \(-0.551319\pi\) |
−0.935058 | + | 0.354495i | \(0.884653\pi\) | |||||||
\(492\) | −6.98851 | + | 1.87256i | −0.315066 | + | 0.0844217i | ||||
\(493\) | −18.7001 | −0.842208 | ||||||||
\(494\) | −16.4512 | + | 9.80680i | −0.740176 | + | 0.441229i | ||||
\(495\) | − | 0.522894i | − | 0.0235023i | ||||||
\(496\) | 9.61812 | − | 2.57717i | 0.431866 | − | 0.115718i | ||||
\(497\) | −14.4920 | − | 10.2403i | −0.650055 | − | 0.459342i | ||||
\(498\) | 6.85085 | − | 3.95534i | 0.306994 | − | 0.177243i | ||||
\(499\) | 16.4680 | − | 16.4680i | 0.737210 | − | 0.737210i | −0.234827 | − | 0.972037i | \(-0.575452\pi\) |
0.972037 | + | 0.234827i | \(0.0754524\pi\) | |||||||
\(500\) | 2.59192 | − | 9.67318i | 0.115914 | − | 0.432598i | ||||
\(501\) | 2.88019 | − | 10.7490i | 0.128677 | − | 0.480230i | ||||
\(502\) | −21.0918 | + | 21.0918i | −0.941374 | + | 0.941374i | ||||
\(503\) | −25.2775 | + | 14.5940i | −1.12707 | + | 0.650713i | −0.943196 | − | 0.332237i | \(-0.892197\pi\) |
−0.183872 | + | 0.982950i | \(0.558863\pi\) | |||||||
\(504\) | 1.52682 | − | 2.16074i | 0.0680101 | − | 0.0962471i | ||||
\(505\) | −34.9052 | + | 9.35281i | −1.55326 | + | 0.416195i | ||||
\(506\) | − | 0.823040i | − | 0.0365886i | ||||||
\(507\) | −11.0725 | + | 6.81171i | −0.491748 | + | 0.302519i | ||||
\(508\) | 7.74039 | 0.343424 | ||||||||
\(509\) | 17.2162 | − | 4.61306i | 0.763093 | − | 0.204470i | 0.143775 | − | 0.989610i | \(-0.454076\pi\) |
0.619318 | + | 0.785140i | \(0.287409\pi\) | |||||||
\(510\) | −15.8043 | − | 9.12463i | −0.699827 | − | 0.404045i | ||||
\(511\) | 26.8999 | − | 12.4034i | 1.18998 | − | 0.548696i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 5.13093 | + | 1.37483i | 0.226536 | + | 0.0607002i | ||||
\(514\) | −17.6659 | − | 4.73356i | −0.779209 | − | 0.208788i | ||||
\(515\) | −20.6167 | − | 20.6167i | −0.908481 | − | 0.908481i | ||||
\(516\) | 2.79434 | − | 1.61331i | 0.123014 | − | 0.0710221i | ||||
\(517\) | −0.187383 | + | 0.324557i | −0.00824110 | + | 0.0142740i | ||||
\(518\) | 1.69876 | + | 9.88186i | 0.0746394 | + | 0.434184i | ||||
\(519\) | 13.2456i | 0.581419i | ||||||||
\(520\) | −6.60490 | − | 11.0799i | −0.289644 | − | 0.485887i | ||||
\(521\) | − | 23.2693i | − | 1.01944i | −0.860339 | − | 0.509722i | \(-0.829748\pi\) | ||
0.860339 | − | 0.509722i | \(-0.170252\pi\) | |||||||
\(522\) | 0.948823 | + | 3.54106i | 0.0415289 | + | 0.154988i | ||||
\(523\) | −22.0867 | − | 12.7518i | −0.965785 | − | 0.557596i | −0.0678360 | − | 0.997696i | \(-0.521609\pi\) |
−0.897949 | + | 0.440101i | \(0.854943\pi\) | |||||||
\(524\) | 0.559445 | + | 0.968986i | 0.0244394 | + | 0.0423304i | ||||
\(525\) | −15.8639 | + | 13.1958i | −0.692357 | + | 0.575913i | ||||
\(526\) | 13.6043 | + | 3.64527i | 0.593177 | + | 0.158941i | ||||
\(527\) | −13.1461 | + | 49.0619i | −0.572653 | + | 2.13717i | ||||
\(528\) | 0.103349 | − | 0.103349i | 0.00449770 | − | 0.00449770i | ||||
\(529\) | 4.35506 | + | 7.54319i | 0.189350 | + | 0.327965i | ||||
\(530\) | 12.7699 | − | 22.1181i | 0.554688 | − | 0.960747i | ||||
\(531\) | −1.09544 | − | 4.08824i | −0.0475381 | − | 0.177415i | ||||
\(532\) | −1.28494 | + | 13.9952i | −0.0557091 | + | 0.606769i | ||||
\(533\) | 18.1865 | − | 18.7014i | 0.787746 | − | 0.810050i | ||||
\(534\) | 12.6845 | 0.548913 | ||||||||
\(535\) | 0.534372 | − | 0.143184i | 0.0231029 | − | 0.00619040i | ||||
\(536\) | −2.49719 | + | 4.32526i | −0.107862 | + | 0.186823i | ||||
\(537\) | −7.59659 | − | 13.1577i | −0.327817 | − | 0.567796i | ||||
\(538\) | 15.1423 | + | 15.1423i | 0.652830 | + | 0.652830i | ||||
\(539\) | −0.923504 | − | 0.440322i | −0.0397781 | − | 0.0189660i | ||||
\(540\) | −0.925950 | + | 3.45569i | −0.0398466 | + | 0.148709i | ||||
\(541\) | −8.39604 | − | 8.39604i | −0.360974 | − | 0.360974i | 0.503197 | − | 0.864171i | \(-0.332157\pi\) |
−0.864171 | + | 0.503197i | \(0.832157\pi\) | |||||||
\(542\) | 27.1205 | − | 15.6580i | 1.16492 | − | 0.672569i | ||||
\(543\) | 1.31259 | + | 0.757827i | 0.0563288 | + | 0.0325215i | ||||
\(544\) | −1.32023 | − | 4.92717i | −0.0566045 | − | 0.211251i | ||||
\(545\) | −29.2264 | −1.25192 | ||||||||
\(546\) | −0.739496 | + | 9.51069i | −0.0316475 | + | 0.407020i | ||||
\(547\) | −16.6366 | −0.711330 | −0.355665 | − | 0.934613i | \(-0.615746\pi\) | ||||
−0.355665 | + | 0.934613i | \(0.615746\pi\) | |||||||
\(548\) | 3.69259 | + | 13.7809i | 0.157739 | + | 0.588692i | ||||
\(549\) | 9.62468 | + | 5.55681i | 0.410772 | + | 0.237159i | ||||
\(550\) | −0.987195 | + | 0.569957i | −0.0420941 | + | 0.0243031i | ||||
\(551\) | −13.7698 | − | 13.7698i | −0.586612 | − | 0.586612i | ||||
\(552\) | −1.45746 | + | 5.43930i | −0.0620334 | + | 0.231512i | ||||
\(553\) | 19.9343 | + | 7.35250i | 0.847695 | + | 0.312660i | ||||
\(554\) | −1.17529 | − | 1.17529i | −0.0499333 | − | 0.0499333i | ||||
\(555\) | −6.77915 | − | 11.7418i | −0.287759 | − | 0.498413i | ||||
\(556\) | −7.79111 | + | 13.4946i | −0.330417 | + | 0.572299i | ||||
\(557\) | 40.4995 | − | 10.8518i | 1.71602 | − | 0.459806i | 0.739132 | − | 0.673561i | \(-0.235236\pi\) |
0.976887 | + | 0.213755i | \(0.0685694\pi\) | |||||||
\(558\) | 9.95741 | 0.421531 | ||||||||
\(559\) | −5.67569 | + | 10.1553i | −0.240056 | + | 0.429525i | ||||
\(560\) | −9.42579 | − | 0.865407i | −0.398312 | − | 0.0365701i | ||||
\(561\) | 0.192962 | + | 0.720145i | 0.00814687 | + | 0.0304045i | ||||
\(562\) | 5.26643 | − | 9.12173i | 0.222151 | − | 0.384777i | ||||
\(563\) | 4.65785 | + | 8.06763i | 0.196305 | + | 0.340010i | 0.947327 | − | 0.320266i | \(-0.103772\pi\) |
−0.751023 | + | 0.660276i | \(0.770439\pi\) | |||||||
\(564\) | 1.81311 | − | 1.81311i | 0.0763456 | − | 0.0763456i | ||||
\(565\) | 0.0662549 | − | 0.247267i | 0.00278737 | − | 0.0104026i | ||||
\(566\) | 11.0573 | + | 2.96278i | 0.464771 | + | 0.124535i | ||||
\(567\) | 2.03404 | − | 1.69195i | 0.0854216 | − | 0.0710551i | ||||
\(568\) | 3.35348 | + | 5.80839i | 0.140709 | + | 0.243715i | ||||
\(569\) | 1.41738 | + | 0.818326i | 0.0594198 | + | 0.0343060i | 0.529416 | − | 0.848363i | \(-0.322411\pi\) |
−0.469996 | + | 0.882669i | \(0.655745\pi\) | |||||||
\(570\) | −4.91859 | − | 18.3564i | −0.206017 | − | 0.768866i | ||||
\(571\) | 12.7108i | 0.531931i | 0.963983 | + | 0.265966i | \(0.0856908\pi\) | ||||
−0.963983 | + | 0.265966i | \(0.914309\pi\) | |||||||
\(572\) | −0.129274 | + | 0.510877i | −0.00540523 | + | 0.0213608i | ||||
\(573\) | 15.0107i | 0.627082i | ||||||||
\(574\) | −3.24310 | − | 18.8654i | −0.135364 | − | 0.787426i | ||||
\(575\) | 21.9593 | − | 38.0347i | 0.915767 | − | 1.58616i | ||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | 31.8482 | + | 31.8482i | 1.32586 | + | 1.32586i | 0.908948 | + | 0.416910i | \(0.136887\pi\) |
0.416910 | + | 0.908948i | \(0.363113\pi\) | |||||||
\(578\) | 8.71268 | + | 2.33456i | 0.362400 | + | 0.0971047i | ||||
\(579\) | −19.8473 | − | 5.31807i | −0.824826 | − | 0.221012i | ||||
\(580\) | 9.27396 | − | 9.27396i | 0.385080 | − | 0.385080i | ||||
\(581\) | 8.76382 | + | 19.0065i | 0.363585 | + | 0.788523i | ||||
\(582\) | 6.04688 | + | 3.49117i | 0.250651 | + | 0.144713i | ||||
\(583\) | −1.00784 | + | 0.270049i | −0.0417404 | + | 0.0111843i | ||||
\(584\) | −11.1960 | −0.463294 | ||||||||
\(585\) | −3.51214 | − | 12.4119i | −0.145209 | − | 0.513168i | ||||
\(586\) | − | 27.3620i | − | 1.13031i | ||||||
\(587\) | 25.6092 | − | 6.86196i | 1.05700 | − | 0.283224i | 0.311861 | − | 0.950128i | \(-0.399048\pi\) |
0.745144 | + | 0.666904i | \(0.232381\pi\) | |||||||
\(588\) | 5.32351 | + | 4.54535i | 0.219538 | + | 0.187447i | ||||
\(589\) | −45.8068 | + | 26.4466i | −1.88744 | + | 1.08971i | ||||
\(590\) | −10.7070 | + | 10.7070i | −0.440801 | + | 0.440801i | ||||
\(591\) | −3.60071 | + | 13.4380i | −0.148113 | + | 0.552767i | ||||
\(592\) | 0.980866 | − | 3.66064i | 0.0403134 | − | 0.150452i | ||||
\(593\) | −5.45292 | + | 5.45292i | −0.223925 | + | 0.223925i | −0.810149 | − | 0.586224i | \(-0.800614\pi\) |
0.586224 | + | 0.810149i | \(0.300614\pi\) | |||||||
\(594\) | 0.126576 | − | 0.0730789i | 0.00519349 | − | 0.00299846i | ||||
\(595\) | 27.8634 | − | 39.4320i | 1.14229 | − | 1.61655i | ||||
\(596\) | −17.7313 | + | 4.75108i | −0.726302 | + | 0.194612i | ||||
\(597\) | − | 9.22759i | − | 0.377660i | ||||||
\(598\) | −5.52815 | − | 19.5364i | −0.226063 | − | 0.798903i | ||||
\(599\) | −1.76811 | −0.0722431 | −0.0361216 | − | 0.999347i | \(-0.511500\pi\) | ||||
−0.0361216 | + | 0.999347i | \(0.511500\pi\) | |||||||
\(600\) | 7.53345 | − | 2.01858i | 0.307552 | − | 0.0824083i | ||||
\(601\) | 6.83600 | + | 3.94677i | 0.278846 | + | 0.160992i | 0.632901 | − | 0.774233i | \(-0.281864\pi\) |
−0.354055 | + | 0.935225i | \(0.615197\pi\) | |||||||
\(602\) | 3.57460 | + | 7.75241i | 0.145690 | + | 0.315965i | ||||
\(603\) | −3.53156 | + | 3.53156i | −0.143816 | + | 0.143816i | ||||
\(604\) | −17.7445 | − | 4.75463i | −0.722015 | − | 0.193463i | ||||
\(605\) | −37.9388 | − | 10.1657i | −1.54243 | − | 0.413293i | ||||
\(606\) | −7.14233 | − | 7.14233i | −0.290137 | − | 0.290137i | ||||
\(607\) | 29.6635 | − | 17.1262i | 1.20401 | − | 0.695133i | 0.242562 | − | 0.970136i | \(-0.422012\pi\) |
0.961443 | + | 0.275003i | \(0.0886788\pi\) | |||||||
\(608\) | 2.65597 | − | 4.60027i | 0.107714 | − | 0.186566i | ||||
\(609\) | −9.55903 | + | 1.64327i | −0.387351 | + | 0.0665886i | ||||
\(610\) | − | 39.7601i | − | 1.60984i | ||||||
\(611\) | −2.26793 | + | 8.96258i | −0.0917505 | + | 0.362587i | ||||
\(612\) | − | 5.10098i | − | 0.206195i | ||||||
\(613\) | −3.59944 | − | 13.4333i | −0.145380 | − | 0.542565i | −0.999738 | − | 0.0228806i | \(-0.992716\pi\) |
0.854358 | − | 0.519684i | \(-0.173950\pi\) | |||||||
\(614\) | −21.0505 | − | 12.1535i | −0.849529 | − | 0.490476i | ||||
\(615\) | 12.9420 | + | 22.4162i | 0.521873 | + | 0.903910i | ||||
\(616\) | 0.247291 | + | 0.297291i | 0.00996365 | + | 0.0119782i | ||||
\(617\) | −10.0295 | − | 2.68739i | −0.403772 | − | 0.108190i | 0.0512170 | − | 0.998688i | \(-0.483690\pi\) |
−0.454989 | + | 0.890497i | \(0.650357\pi\) | |||||||
\(618\) | 2.10930 | − | 7.87203i | 0.0848486 | − | 0.316659i | ||||
\(619\) | 0.0354371 | − | 0.0354371i | 0.00142434 | − | 0.00142434i | −0.706394 | − | 0.707819i | \(-0.749679\pi\) |
0.707819 | + | 0.706394i | \(0.249679\pi\) | |||||||
\(620\) | −17.8118 | − | 30.8509i | −0.715339 | − | 1.23900i | ||||
\(621\) | −2.81559 | + | 4.87674i | −0.112986 | + | 0.195697i | ||||
\(622\) | −3.35129 | − | 12.5072i | −0.134375 | − | 0.501493i | ||||
\(623\) | −3.06834 | + | 33.4195i | −0.122930 | + | 1.33892i | ||||
\(624\) | 1.75902 | − | 3.14736i | 0.0704171 | − | 0.125995i | ||||
\(625\) | 3.16846 | 0.126738 | ||||||||
\(626\) | 14.4587 | − | 3.87420i | 0.577886 | − | 0.154844i | ||||
\(627\) | −0.388190 | + | 0.672365i | −0.0155028 | + | 0.0268517i | ||||
\(628\) | 7.36216 | + | 12.7516i | 0.293782 | + | 0.508845i | ||||
\(629\) | 13.6695 | + | 13.6695i | 0.545039 | + | 0.545039i | ||||
\(630\) | −8.88063 | − | 3.27549i | −0.353813 | − | 0.130499i | ||||
\(631\) | −5.82232 | + | 21.7292i | −0.231783 | + | 0.865026i | 0.747790 | + | 0.663936i | \(0.231115\pi\) |
−0.979573 | + | 0.201090i | \(0.935552\pi\) | |||||||
\(632\) | −5.67852 | − | 5.67852i | −0.225879 | − | 0.225879i | ||||
\(633\) | −13.5918 | + | 7.84722i | −0.540225 | + | 0.311899i | ||||
\(634\) | 8.48989 | + | 4.90164i | 0.337177 | + | 0.194669i | ||||
\(635\) | −7.16722 | − | 26.7484i | −0.284422 | − | 1.06148i | ||||
\(636\) | 7.13879 | 0.283072 | ||||||||
\(637\) | −24.8786 | − | 4.24893i | −0.985728 | − | 0.168349i | ||||
\(638\) | −0.535810 | −0.0212129 | ||||||||
\(639\) | 1.73589 | + | 6.47842i | 0.0686706 | + | 0.256282i | ||||
\(640\) | 3.09829 | + | 1.78880i | 0.122471 | + | 0.0707085i | ||||
\(641\) | 12.8186 | − | 7.40080i | 0.506303 | − | 0.292314i | −0.225010 | − | 0.974356i | \(-0.572241\pi\) |
0.731312 | + | 0.682043i | \(0.238908\pi\) | |||||||
\(642\) | 0.109344 | + | 0.109344i | 0.00431545 | + | 0.00431545i | ||||
\(643\) | 1.02867 | − | 3.83904i | 0.0405667 | − | 0.151397i | −0.942672 | − | 0.333721i | \(-0.891695\pi\) |
0.983238 | + | 0.182325i | \(0.0583622\pi\) | |||||||
\(644\) | −13.9782 | − | 5.15566i | −0.550818 | − | 0.203161i | ||||
\(645\) | −8.16253 | − | 8.16253i | −0.321399 | − | 0.321399i | ||||
\(646\) | 13.5480 | + | 23.4659i | 0.533041 | + | 0.923254i | ||||
\(647\) | −18.0664 | + | 31.2919i | −0.710263 | + | 1.23021i | 0.254496 | + | 0.967074i | \(0.418091\pi\) |
−0.964758 | + | 0.263137i | \(0.915243\pi\) | |||||||
\(648\) | −0.965926 | + | 0.258819i | −0.0379452 | + | 0.0101674i | ||||
\(649\) | 0.618607 | 0.0242824 | ||||||||
\(650\) | −19.6047 | + | 20.1597i | −0.768959 | + | 0.790730i | ||||
\(651\) | −2.40866 | + | 26.2345i | −0.0944028 | + | 1.02821i | ||||
\(652\) | −3.21246 | − | 11.9891i | −0.125810 | − | 0.469528i | ||||
\(653\) | −13.0737 | + | 22.6443i | −0.511612 | + | 0.886139i | 0.488297 | + | 0.872678i | \(0.337618\pi\) |
−0.999909 | + | 0.0134612i | \(0.995715\pi\) | |||||||
\(654\) | −4.08464 | − | 7.07481i | −0.159722 | − | 0.276647i | ||||
\(655\) | 2.83050 | − | 2.83050i | 0.110597 | − | 0.110597i | ||||
\(656\) | −1.87256 | + | 6.98851i | −0.0731114 | + | 0.272855i | ||||
\(657\) | −10.8145 | − | 2.89774i | −0.421914 | − | 0.113051i | ||||
\(658\) | 4.33836 | + | 5.21552i | 0.169127 | + | 0.203322i | ||||
\(659\) | 3.33965 | + | 5.78444i | 0.130094 | + | 0.225330i | 0.923713 | − | 0.383086i | \(-0.125139\pi\) |
−0.793618 | + | 0.608416i | \(0.791805\pi\) | |||||||
\(660\) | −0.452839 | − | 0.261447i | −0.0176267 | − | 0.0101768i | ||||
\(661\) | −5.95568 | − | 22.2269i | −0.231649 | − | 0.864527i | −0.979631 | − | 0.200807i | \(-0.935644\pi\) |
0.747982 | − | 0.663719i | \(-0.231023\pi\) | |||||||
\(662\) | − | 34.4737i | − | 1.33986i | ||||||
\(663\) | 9.41734 | + | 15.7979i | 0.365739 | + | 0.613540i | ||||
\(664\) | − | 7.91068i | − | 0.306994i | ||||||
\(665\) | 49.5529 | − | 8.51851i | 1.92158 | − | 0.330334i | ||||
\(666\) | 1.89489 | − | 3.28204i | 0.0734254 | − | 0.127177i | ||||
\(667\) | 17.8780 | − | 10.3219i | 0.692238 | − | 0.399664i | ||||
\(668\) | −7.86882 | − | 7.86882i | −0.304454 | − | 0.304454i | ||||
\(669\) | −3.98854 | − | 1.06873i | −0.154206 | − | 0.0413193i | ||||
\(670\) | 17.2591 | + | 4.62455i | 0.666776 | + | 0.178662i | ||||
\(671\) | −1.14858 | + | 1.14858i | −0.0443406 | + | 0.0443406i | ||||
\(672\) | −1.10785 | − | 2.40264i | −0.0427361 | − | 0.0926838i | ||||
\(673\) | 21.7119 | + | 12.5354i | 0.836932 | + | 0.483203i | 0.856220 | − | 0.516611i | \(-0.172807\pi\) |
−0.0192884 | + | 0.999814i | \(0.506140\pi\) | |||||||
\(674\) | 34.8993 | − | 9.35125i | 1.34427 | − | 0.360197i | ||||
\(675\) | 7.79920 | 0.300191 | ||||||||
\(676\) | 0.362858 | + | 12.9949i | 0.0139561 | + | 0.499805i | ||||
\(677\) | − | 11.0346i | − | 0.424096i | −0.977259 | − | 0.212048i | \(-0.931987\pi\) | ||
0.977259 | − | 0.212048i | \(-0.0680133\pi\) | |||||||
\(678\) | 0.0691153 | − | 0.0185194i | 0.00265436 | − | 0.000711233i | ||||
\(679\) | −10.6608 | + | 15.0870i | −0.409123 | + | 0.578987i | ||||
\(680\) | −15.8043 | + | 9.12463i | −0.606068 | + | 0.349914i | ||||
\(681\) | −18.8054 | + | 18.8054i | −0.720623 | + | 0.720623i | ||||
\(682\) | −0.376673 | + | 1.40576i | −0.0144236 | + | 0.0538295i | ||||
\(683\) | −3.55612 | + | 13.2716i | −0.136071 | + | 0.507825i | 0.863920 | + | 0.503629i | \(0.168002\pi\) |
−0.999991 | + | 0.00419577i | \(0.998664\pi\) | |||||||
\(684\) | 3.75610 | − | 3.75610i | 0.143618 | − | 0.143618i | ||||
\(685\) | 44.2035 | − | 25.5209i | 1.68893 | − | 0.975103i | ||||
\(686\) | −13.2632 | + | 12.9262i | −0.506393 | + | 0.493524i | ||||
\(687\) | 19.4855 | − | 5.22112i | 0.743417 | − | 0.199198i | ||||
\(688\) | − | 3.22662i | − | 0.123014i | ||||||
\(689\) | −22.1091 | + | 13.1795i | −0.842289 | + | 0.502100i | ||||
\(690\) | 20.1461 | 0.766948 | ||||||||
\(691\) | −33.1008 | + | 8.86934i | −1.25922 | + | 0.337406i | −0.825890 | − | 0.563832i | \(-0.809327\pi\) |
−0.433326 | + | 0.901237i | \(0.642660\pi\) | |||||||
\(692\) | 11.4711 | + | 6.62282i | 0.436064 | + | 0.251762i | ||||
\(693\) | 0.161920 | + | 0.351165i | 0.00615085 | + | 0.0133396i | ||||
\(694\) | 7.79510 | − | 7.79510i | 0.295898 | − | 0.295898i | ||||
\(695\) | 53.8474 | + | 14.4284i | 2.04255 | + | 0.547299i | ||||
\(696\) | 3.54106 | + | 0.948823i | 0.134223 | + | 0.0359650i | ||||
\(697\) | −26.0963 | − | 26.0963i | −0.988469 | − | 0.988469i | ||||
\(698\) | 6.46821 | − | 3.73442i | 0.244825 | − | 0.141350i | ||||
\(699\) | −6.60060 | + | 11.4326i | −0.249657 | + | 0.432419i | ||||
\(700\) | 3.49598 | + | 20.3364i | 0.132136 | + | 0.768645i | ||||
\(701\) | − | 23.3747i | − | 0.882848i | −0.897299 | − | 0.441424i | \(-0.854473\pi\) | ||
0.897299 | − | 0.441424i | \(-0.145527\pi\) | |||||||
\(702\) | 2.51368 | − | 2.58485i | 0.0948726 | − | 0.0975587i | ||||
\(703\) | 20.1310i | 0.759257i | ||||||||
\(704\) | −0.0378284 | − | 0.141178i | −0.00142571 | − | 0.00532083i | ||||
\(705\) | −7.94439 | − | 4.58670i | −0.299203 | − | 0.172745i | ||||
\(706\) | 6.16390 | + | 10.6762i | 0.231981 | + | 0.401803i | ||||
\(707\) | 20.5454 | − | 17.0900i | 0.772688 | − | 0.642734i | ||||
\(708\) | −4.08824 | − | 1.09544i | −0.153645 | − | 0.0411692i | ||||
\(709\) | −7.88323 | + | 29.4206i | −0.296061 | + | 1.10491i | 0.644310 | + | 0.764764i | \(0.277145\pi\) |
−0.940371 | + | 0.340150i | \(0.889522\pi\) | |||||||
\(710\) | 16.9669 | − | 16.9669i | 0.636755 | − | 0.636755i | ||||
\(711\) | −4.01532 | − | 6.95473i | −0.150586 | − | 0.260823i | ||||
\(712\) | 6.34226 | − | 10.9851i | 0.237686 | − | 0.411685i | ||||
\(713\) | −14.5125 | − | 54.1613i | −0.543497 | − | 2.02836i | ||||
\(714\) | 13.4394 | + | 1.23391i | 0.502957 | + | 0.0461779i | ||||
\(715\) | 1.88514 | − | 0.0263143i | 0.0705001 | − | 0.000984098i | ||||
\(716\) | −15.1932 | −0.567796 | ||||||||
\(717\) | 22.0604 | − | 5.91106i | 0.823860 | − | 0.220753i | ||||
\(718\) | −1.62155 | + | 2.80860i | −0.0605156 | + | 0.104816i | ||||
\(719\) | 4.79230 | + | 8.30051i | 0.178723 | + | 0.309557i | 0.941443 | − | 0.337171i | \(-0.109470\pi\) |
−0.762721 | + | 0.646728i | \(0.776137\pi\) | |||||||
\(720\) | 2.52974 | + | 2.52974i | 0.0942780 | + | 0.0942780i | ||||
\(721\) | 20.2300 | + | 7.46153i | 0.753403 | + | 0.277882i | ||||
\(722\) | −2.38544 | + | 8.90260i | −0.0887770 | + | 0.331320i | ||||
\(723\) | −19.0658 | − | 19.0658i | −0.709064 | − | 0.709064i | ||||
\(724\) | 1.31259 | − | 0.757827i | 0.0487822 | − | 0.0281644i | ||||
\(725\) | −24.7611 | − | 14.2958i | −0.919604 | − | 0.530933i | ||||
\(726\) | −2.84148 | − | 10.6045i | −0.105457 | − | 0.393572i | ||||
\(727\) | 28.0599 | 1.04068 | 0.520341 | − | 0.853958i | \(-0.325805\pi\) | ||||
0.520341 | + | 0.853958i | \(0.325805\pi\) | |||||||
\(728\) | 7.86675 | + | 5.39577i | 0.291561 | + | 0.199980i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 10.3669 | + | 38.6899i | 0.383697 | + | 1.43198i | ||||
\(731\) | 14.2539 | + | 8.22947i | 0.527198 | + | 0.304378i | ||||
\(732\) | 9.62468 | − | 5.55681i | 0.355739 | − | 0.205386i | ||||
\(733\) | −24.8749 | − | 24.8749i | −0.918776 | − | 0.918776i | 0.0781647 | − | 0.996940i | \(-0.475094\pi\) |
−0.996940 | + | 0.0781647i | \(0.975094\pi\) | |||||||
\(734\) | −0.229968 | + | 0.858254i | −0.00848829 | + | 0.0316787i | ||||
\(735\) | 10.7780 | − | 22.6052i | 0.397554 | − | 0.833805i | ||||
\(736\) | 3.98184 | + | 3.98184i | 0.146773 | + | 0.146773i | ||||
\(737\) | −0.364984 | − | 0.632171i | −0.0134444 | − | 0.0232863i | ||||
\(738\) | −3.61752 | + | 6.26572i | −0.133163 | + | 0.230644i | ||||
\(739\) | −28.0890 | + | 7.52644i | −1.03327 | + | 0.276864i | −0.735323 | − | 0.677717i | \(-0.762969\pi\) |
−0.297949 | + | 0.954582i | \(0.596303\pi\) | |||||||
\(740\) | −13.5583 | −0.498413 | ||||||||
\(741\) | −4.69833 | + | 18.5672i | −0.172597 | + | 0.682084i | ||||
\(742\) | −1.72685 | + | 18.8084i | −0.0633945 | + | 0.690477i | ||||
\(743\) | 5.86267 | + | 21.8798i | 0.215080 | + | 0.802691i | 0.986138 | + | 0.165926i | \(0.0530613\pi\) |
−0.771058 | + | 0.636765i | \(0.780272\pi\) | |||||||
\(744\) | 4.97871 | − | 8.62337i | 0.182528 | − | 0.316148i | ||||
\(745\) | 32.8366 | + | 56.8746i | 1.20304 | + | 2.08372i | ||||
\(746\) | 4.10708 | − | 4.10708i | 0.150371 | − | 0.150371i | ||||
\(747\) | 2.04743 | − | 7.64113i | 0.0749117 | − | 0.279574i | ||||
\(748\) | 0.720145 | + | 0.192962i | 0.0263311 | + | 0.00705540i | ||||
\(749\) | −0.314534 | + | 0.261634i | −0.0114928 | + | 0.00955991i | ||||
\(750\) | −5.00721 | − | 8.67274i | −0.182837 | − | 0.316684i | ||||
\(751\) | 11.5957 | + | 6.69480i | 0.423135 | + | 0.244297i | 0.696418 | − | 0.717637i | \(-0.254776\pi\) |
−0.273283 | + | 0.961934i | \(0.588110\pi\) | |||||||
\(752\) | −0.663644 | − | 2.47675i | −0.0242006 | − | 0.0903178i | ||||
\(753\) | 29.8283i | 1.08701i | ||||||||
\(754\) | −12.7185 | + | 3.59890i | −0.463179 | + | 0.131064i | ||||
\(755\) | 65.7222i | 2.39188i | ||||||||
\(756\) | −0.448249 | − | 2.60750i | −0.0163027 | − | 0.0948340i | ||||
\(757\) | −3.11864 | + | 5.40165i | −0.113349 | + | 0.196326i | −0.917119 | − | 0.398615i | \(-0.869491\pi\) |
0.803770 | + | 0.594941i | \(0.202824\pi\) | |||||||
\(758\) | −17.9520 | + | 10.3646i | −0.652045 | + | 0.376458i | ||||
\(759\) | −0.581977 | − | 0.581977i | −0.0211244 | − | 0.0211244i | ||||
\(760\) | −18.3564 | − | 4.91859i | −0.665857 | − | 0.178416i | ||||
\(761\) | −1.21124 | − | 0.324552i | −0.0439075 | − | 0.0117650i | 0.236798 | − | 0.971559i | \(-0.423902\pi\) |
−0.280706 | + | 0.959794i | \(0.590569\pi\) | |||||||
\(762\) | 5.47328 | − | 5.47328i | 0.198276 | − | 0.198276i | ||||
\(763\) | 19.6278 | − | 9.05032i | 0.710576 | − | 0.327643i | ||||
\(764\) | 12.9997 | + | 7.50536i | 0.470311 | + | 0.271534i | ||||
\(765\) | −17.6274 | + | 4.72326i | −0.637321 | + | 0.170770i | ||||
\(766\) | 7.64634 | 0.276274 | ||||||||
\(767\) | 14.6838 | − | 4.15502i | 0.530201 | − | 0.150029i | ||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | −14.0382 | + | 3.76152i | −0.506230 | + | 0.135644i | −0.502890 | − | 0.864350i | \(-0.667730\pi\) |
−0.00334025 | + | 0.999994i | \(0.501063\pi\) | |||||||
\(770\) | 0.798366 | − | 1.12984i | 0.0287711 | − | 0.0407166i | ||||
\(771\) | −15.8388 | + | 9.14454i | −0.570421 | + | 0.329332i | ||||
\(772\) | −14.5292 | + | 14.5292i | −0.522919 | + | 0.522919i | ||||
\(773\) | −0.719646 | + | 2.68575i | −0.0258839 | + | 0.0965999i | −0.977659 | − | 0.210195i | \(-0.932590\pi\) |
0.951776 | + | 0.306795i | \(0.0992567\pi\) | |||||||
\(774\) | 0.835111 | − | 3.11668i | 0.0300175 | − | 0.112027i | ||||
\(775\) | −54.9138 | + | 54.9138i | −1.97256 | + | 1.97256i | ||||
\(776\) | 6.04688 | − | 3.49117i | 0.217070 | − | 0.125326i | ||||
\(777\) | 8.18873 | + | 5.78632i | 0.293769 | + | 0.207583i | ||||
\(778\) | 14.0451 | − | 3.76337i | 0.503540 | − | 0.134923i | ||||
\(779\) | − | 38.4320i | − | 1.37697i | ||||||
\(780\) | −12.5051 | − | 3.16433i | −0.447753 | − | 0.113301i | ||||
\(781\) | −0.980274 | −0.0350770 | ||||||||
\(782\) | −27.7458 | + | 7.43445i | −0.992186 | + | 0.265856i | ||||
\(783\) | 3.17482 | + | 1.83299i | 0.113459 | + | 0.0655055i | ||||
\(784\) | 6.59815 | − | 2.33762i | 0.235648 | − | 0.0834865i | ||||
\(785\) | 37.2487 | − | 37.2487i | 1.32946 | − | 1.32946i | ||||
\(786\) | 1.08076 | + | 0.289590i | 0.0385496 | + | 0.0103293i | ||||
\(787\) | −15.6974 | − | 4.20610i | −0.559551 | − | 0.149931i | −0.0320508 | − | 0.999486i | \(-0.510204\pi\) |
−0.527500 | + | 0.849555i | \(0.676870\pi\) | |||||||
\(788\) | 9.83732 | + | 9.83732i | 0.350440 | + | 0.350440i | ||||
\(789\) | 12.1973 | − | 7.04212i | 0.434236 | − | 0.250706i | ||||
\(790\) | −14.3652 | + | 24.8812i | −0.511090 | + | 0.885235i | ||||
\(791\) | 0.0320738 | + | 0.186576i | 0.00114041 | + | 0.00663387i | ||||
\(792\) | − | 0.146158i | − | 0.00519349i | ||||||
\(793\) | −19.5491 | + | 34.9786i | −0.694208 | + | 1.24212i | ||||
\(794\) | − | 8.76963i | − | 0.311222i | ||||||
\(795\) | −6.61017 | − | 24.6695i | −0.234439 | − | 0.874937i | ||||
\(796\) | −7.99132 | − | 4.61379i | −0.283245 | − | 0.163532i | ||||
\(797\) | −23.1421 | − | 40.0833i | −0.819735 | − | 1.41982i | −0.905878 | − | 0.423539i | \(-0.860788\pi\) |
0.0861432 | − | 0.996283i | \(-0.472546\pi\) | |||||||
\(798\) | 8.98751 | + | 10.8047i | 0.318154 | + | 0.382482i | ||||
\(799\) | 12.6339 | + | 3.38523i | 0.446954 | + | 0.119761i | ||||
\(800\) | 2.01858 | − | 7.53345i | 0.0713676 | − | 0.266348i | ||||
\(801\) | 8.96931 | − | 8.96931i | 0.316915 | − | 0.316915i | ||||
\(802\) | −12.9343 | − | 22.4029i | −0.456726 | − | 0.791073i | ||||
\(803\) | 0.818191 | − | 1.41715i | 0.0288733 | − | 0.0500101i | ||||
\(804\) | 1.29264 | + | 4.82420i | 0.0455879 | + | 0.170137i | ||||
\(805\) | −4.87326 | + | 53.0783i | −0.171760 | + | 1.87076i | ||||
\(806\) | 0.501100 | + | 35.8985i | 0.0176505 | + | 1.26447i | ||||
\(807\) | 21.4144 | 0.753824 | ||||||||
\(808\) | −9.75660 | + | 2.61427i | −0.343236 | + | 0.0919698i | ||||
\(809\) | 27.3471 | − | 47.3666i | 0.961474 | − | 1.66532i | 0.242670 | − | 0.970109i | \(-0.421977\pi\) |
0.718804 | − | 0.695213i | \(-0.244690\pi\) | |||||||
\(810\) | 1.78880 | + | 3.09829i | 0.0628520 | + | 0.108863i | ||||
\(811\) | −1.16693 | − | 1.16693i | −0.0409764 | − | 0.0409764i | 0.686322 | − | 0.727298i | \(-0.259224\pi\) |
−0.727298 | + | 0.686322i | \(0.759224\pi\) | |||||||
\(812\) | −3.35640 | + | 9.10000i | −0.117787 | + | 0.319347i | ||||
\(813\) | 8.10518 | − | 30.2489i | 0.284261 | − | 1.06088i | ||||
\(814\) | 0.391670 | + | 0.391670i | 0.0137280 | + | 0.0137280i | ||||
\(815\) | −38.4559 | + | 22.2025i | −1.34705 | + | 0.777721i | ||||
\(816\) | −4.41758 | − | 2.55049i | −0.154646 | − | 0.0892851i | ||||
\(817\) | 4.43606 | + | 16.5556i | 0.155198 | + | 0.579207i | ||||
\(818\) | 20.8857 | 0.730251 | ||||||||
\(819\) | 6.20217 | + | 7.24797i | 0.216721 | + | 0.253265i | ||||
\(820\) | 25.8840 | 0.903910 | ||||||||
\(821\) | −0.998281 | − | 3.72564i | −0.0348402 | − | 0.130026i | 0.946315 | − | 0.323245i | \(-0.104774\pi\) |
−0.981156 | + | 0.193219i | \(0.938107\pi\) | |||||||
\(822\) | 12.3556 | + | 7.13353i | 0.430952 | + | 0.248810i | ||||
\(823\) | −15.2505 | + | 8.80488i | −0.531599 | + | 0.306919i | −0.741667 | − | 0.670768i | \(-0.765965\pi\) |
0.210068 | + | 0.977687i | \(0.432631\pi\) | |||||||
\(824\) | −5.76273 | − | 5.76273i | −0.200754 | − | 0.200754i | ||||
\(825\) | −0.295032 | + | 1.10107i | −0.0102717 | + | 0.0383344i | ||||
\(826\) | 3.87505 | − | 10.5062i | 0.134830 | − | 0.365557i | ||||
\(827\) | 19.8789 | + | 19.8789i | 0.691256 | + | 0.691256i | 0.962508 | − | 0.271252i | \(-0.0874377\pi\) |
−0.271252 | + | 0.962508i | \(0.587438\pi\) | |||||||
\(828\) | 2.81559 | + | 4.87674i | 0.0978484 | + | 0.169478i | ||||
\(829\) | −14.3732 | + | 24.8952i | −0.499203 | + | 0.864645i | −1.00000 | 0.000920314i | \(-0.999707\pi\) | |
0.500797 | + | 0.865565i | \(0.333040\pi\) | |||||||
\(830\) | −27.3369 | + | 7.32489i | −0.948877 | + | 0.254251i | ||||
\(831\) | −1.66211 | −0.0576580 | ||||||||
\(832\) | −1.84618 | − | 3.09703i | −0.0640049 | − | 0.107370i | ||||
\(833\) | −6.50188 | + | 35.1099i | −0.225277 | + | 1.21649i | ||||
\(834\) | 4.03298 | + | 15.0513i | 0.139651 | + | 0.521183i | ||||
\(835\) | −19.9061 | + | 34.4784i | −0.688879 | + | 1.19317i | ||||
\(836\) | 0.388190 | + | 0.672365i | 0.0134258 | + | 0.0232542i | ||||
\(837\) | 7.04095 | − | 7.04095i | 0.243371 | − | 0.243371i | ||||
\(838\) | −4.39365 | + | 16.3973i | −0.151776 | + | 0.566436i | ||||
\(839\) | 51.8462 | + | 13.8921i | 1.78993 | + | 0.479610i | 0.992334 | − | 0.123585i | \(-0.0394392\pi\) |
0.797594 | + | 0.603195i | \(0.206106\pi\) | |||||||
\(840\) | −7.27697 | + | 6.05310i | −0.251079 | + | 0.208852i | ||||
\(841\) | 7.78033 | + | 13.4759i | 0.268287 | + | 0.464687i | ||||
\(842\) | −19.7041 | − | 11.3761i | −0.679047 | − | 0.392048i | ||||
\(843\) | −2.72611 | − | 10.1740i | −0.0938921 | − | 0.350410i | ||||
\(844\) | 15.6944i | 0.540225i | ||||||||
\(845\) | 44.5705 | − | 13.2866i | 1.53327 | − | 0.457073i | ||||
\(846\) | − | 2.56412i | − | 0.0881563i | ||||||
\(847\) | 28.6268 | − | 4.92116i | 0.983630 | − | 0.169093i | ||||
\(848\) | 3.56940 | − | 6.18238i | 0.122574 | − | 0.212304i | ||||
\(849\) | 9.91366 | − | 5.72365i | 0.340236 | − | 0.196435i | ||||
\(850\) | 28.1313 | + | 28.1313i | 0.964894 | + | 0.964894i | ||||
\(851\) | −20.6137 | − | 5.52343i | −0.706629 | − | 0.189341i | ||||
\(852\) | 6.47842 | + | 1.73589i | 0.221947 | + | 0.0594705i | ||||
\(853\) | 7.44167 | − | 7.44167i | 0.254798 | − | 0.254798i | −0.568136 | − | 0.822934i | \(-0.692335\pi\) |
0.822934 | + | 0.568136i | \(0.192335\pi\) | |||||||
\(854\) | 12.3122 | + | 26.7020i | 0.421315 | + | 0.913725i | ||||
\(855\) | −16.4579 | − | 9.50198i | −0.562849 | − | 0.324961i | ||||
\(856\) | 0.149366 | − | 0.0400225i | 0.00510523 | − | 0.00136794i | ||||
\(857\) | 34.4161 | 1.17563 | 0.587816 | − | 0.808995i | \(-0.299988\pi\) | ||||
0.587816 | + | 0.808995i | \(0.299988\pi\) | |||||||
\(858\) | 0.269834 | + | 0.452656i | 0.00921198 | + | 0.0154534i | ||||
\(859\) | − | 5.57158i | − | 0.190100i | −0.995473 | − | 0.0950500i | \(-0.969699\pi\) | ||
0.995473 | − | 0.0950500i | \(-0.0303011\pi\) | |||||||
\(860\) | −11.1502 | + | 2.98769i | −0.380219 | + | 0.101879i | ||||
\(861\) | −15.6331 | − | 11.0466i | −0.532773 | − | 0.376468i | ||||
\(862\) | −2.49664 | + | 1.44144i | −0.0850360 | + | 0.0490955i | ||||
\(863\) | 12.8891 | − | 12.8891i | 0.438750 | − | 0.438750i | −0.452841 | − | 0.891591i | \(-0.649590\pi\) |
0.891591 | + | 0.452841i | \(0.149590\pi\) | |||||||
\(864\) | −0.258819 | + | 0.965926i | −0.00880520 | + | 0.0328615i | ||||
\(865\) | 12.2648 | − | 45.7728i | 0.417016 | − | 1.55632i | ||||
\(866\) | −22.7533 | + | 22.7533i | −0.773189 | + | 0.773189i | ||||
\(867\) | 7.81157 | − | 4.51001i | 0.265295 | − | 0.153168i | ||||
\(868\) | 21.5154 | + | 15.2032i | 0.730280 | + | 0.516030i | ||||
\(869\) | 1.13375 | − | 0.303786i | 0.0384597 | − | 0.0103052i | ||||
\(870\) | − | 13.1154i | − | 0.444653i | ||||||
\(871\) | −12.9097 | − | 12.5543i | −0.437429 | − | 0.425385i | ||||
\(872\) | −8.16929 | −0.276647 | ||||||||
\(873\) | 6.74442 | − | 1.80716i | 0.228264 | − | 0.0611631i | ||||
\(874\) | −25.9049 | − | 14.9562i | −0.876247 | − | 0.505901i | ||||
\(875\) | 24.0610 | − | 11.0944i | 0.813411 | − | 0.375061i | ||||
\(876\) | −7.91676 | + | 7.91676i | −0.267483 | + | 0.267483i | ||||
\(877\) | −7.31466 | − | 1.95996i | −0.246999 | − | 0.0661831i | 0.133196 | − | 0.991090i | \(-0.457476\pi\) |
−0.380194 | + | 0.924907i | \(0.624143\pi\) | |||||||
\(878\) | 18.4065 | + | 4.93200i | 0.621188 | + | 0.166447i | ||||
\(879\) | −19.3479 | − | 19.3479i | −0.652588 | − | 0.652588i | ||||
\(880\) | −0.452839 | + | 0.261447i | −0.0152652 | + | 0.00881337i | ||||
\(881\) | 26.2441 | − | 45.4561i | 0.884186 | − | 1.53145i | 0.0375419 | − | 0.999295i | \(-0.488047\pi\) |
0.846644 | − | 0.532160i | \(-0.178619\pi\) | |||||||
\(882\) | 6.97834 | − | 0.550243i | 0.234973 | − | 0.0185277i | ||||
\(883\) | − | 42.0177i | − | 1.41401i | −0.707209 | − | 0.707004i | \(-0.750046\pi\) | ||
0.707209 | − | 0.707004i | \(-0.249954\pi\) | |||||||
\(884\) | 18.3901 | − | 0.256703i | 0.618525 | − | 0.00863387i | ||||
\(885\) | 15.1420i | 0.508994i | ||||||||
\(886\) | 4.03064 | + | 15.0425i | 0.135412 | + | 0.505364i | ||||
\(887\) | −17.3437 | − | 10.0134i | −0.582345 | − | 0.336217i | 0.179720 | − | 0.983718i | \(-0.442481\pi\) |
−0.762065 | + | 0.647501i | \(0.775814\pi\) | |||||||
\(888\) | −1.89489 | − | 3.28204i | −0.0635883 | − | 0.110138i | ||||
\(889\) | 13.0963 | + | 15.7443i | 0.439237 | + | 0.528045i | ||||
\(890\) | −43.8338 | − | 11.7452i | −1.46931 | − | 0.393701i | ||||
\(891\) | 0.0378284 | − | 0.141178i | 0.00126730 | − | 0.00472963i | ||||
\(892\) | −2.91981 | + | 2.91981i | −0.0977626 | + | 0.0977626i | ||||
\(893\) | 6.81022 | + | 11.7957i | 0.227895 | + | 0.394726i | ||||
\(894\) | −9.17839 | + | 15.8974i | −0.306971 | + | 0.531690i | ||||
\(895\) | 14.0681 | + | 52.5030i | 0.470246 | + | 1.75498i | ||||
\(896\) | −2.63467 | − | 0.241896i | −0.0880181 | − | 0.00808118i | ||||
\(897\) | −17.7233 | − | 9.90534i | −0.591764 | − | 0.330730i | ||||
\(898\) | −25.4383 | −0.848887 | ||||||||
\(899\) | −35.2597 | + | 9.44782i | −1.17598 | + | 0.315102i | ||||
\(900\) | 3.89960 | − | 6.75431i | 0.129987 | − | 0.225144i | ||||
\(901\) | 18.2074 | + | 31.5362i | 0.606578 | + | 1.05062i | ||||
\(902\) | −0.747735 | − | 0.747735i | −0.0248968 | − | 0.0248968i | ||||
\(903\) | 8.00941 | + | 2.95416i | 0.266536 | + | 0.0983081i | ||||
\(904\) | 0.0185194 | − | 0.0691153i | 0.000615946 | − | 0.00229874i | ||||
\(905\) | −3.83421 | − | 3.83421i | −0.127454 | − | 0.127454i | ||||
\(906\) | −15.9093 | + | 9.18525i | −0.528552 | + | 0.305159i | ||||
\(907\) | 17.8984 | + | 10.3337i | 0.594307 | + | 0.343124i | 0.766799 | − | 0.641888i | \(-0.221848\pi\) |
−0.172491 | + | 0.985011i | \(0.555182\pi\) | |||||||
\(908\) | 6.88324 | + | 25.6886i | 0.228428 | + | 0.852506i | ||||
\(909\) | −10.1008 | −0.335021 | ||||||||
\(910\) | 11.3619 | − | 32.1813i | 0.376643 | − | 1.06680i | ||||
\(911\) | −16.4643 | −0.545486 | −0.272743 | − | 0.962087i | \(-0.587931\pi\) | ||||
−0.272743 | + | 0.962087i | \(0.587931\pi\) | |||||||
\(912\) | −1.37483 | − | 5.13093i | −0.0455252 | − | 0.169902i | ||||
\(913\) | 1.00131 | + | 0.578104i | 0.0331384 | + | 0.0191324i | ||||
\(914\) | 23.9111 | − | 13.8051i | 0.790909 | − | 0.456631i | ||||
\(915\) | −28.1146 | − | 28.1146i | −0.929441 | − | 0.929441i | ||||
\(916\) | 5.22112 | − | 19.4855i | 0.172511 | − | 0.643818i | ||||
\(917\) | −1.02441 | + | 2.77741i | −0.0338289 | + | 0.0917180i | ||||
\(918\) | −3.60694 | − | 3.60694i | −0.119047 | − | 0.119047i | ||||
\(919\) | −3.06087 | − | 5.30158i | −0.100969 | − | 0.174883i | 0.811115 | − | 0.584886i | \(-0.198861\pi\) |
−0.912084 | + | 0.410003i | \(0.865528\pi\) | |||||||
\(920\) | 10.0730 | − | 17.4470i | 0.332098 | − | 0.575211i | ||||
\(921\) | −23.4788 | + | 6.29112i | −0.773652 | + | 0.207300i | ||||
\(922\) | 27.3796 | 0.901700 | ||||||||
\(923\) | −23.2686 | + | 6.58424i | −0.765897 | + | 0.216723i | ||||
\(924\) | 0.385078 | + | 0.0353550i | 0.0126681 | + | 0.00116309i | ||||
\(925\) | 7.64998 | + | 28.5501i | 0.251530 | + | 0.938721i | ||||
\(926\) | 9.40707 | − | 16.2935i | 0.309136 | − | 0.535439i | ||||
\(927\) | −4.07486 | − | 7.05787i | −0.133836 | − | 0.231811i | ||||
\(928\) | 2.59223 | − | 2.59223i | 0.0850942 | − | 0.0850942i | ||||
\(929\) | −1.05842 | + | 3.95009i | −0.0347257 | + | 0.129598i | −0.981113 | − | 0.193437i | \(-0.938037\pi\) |
0.946387 | + | 0.323035i | \(0.104703\pi\) | |||||||
\(930\) | −34.4098 | − | 9.22007i | −1.12834 | − | 0.302338i | ||||
\(931\) | −30.6408 | + | 21.0655i | −1.00421 | + | 0.690394i | ||||
\(932\) | 6.60060 | + | 11.4326i | 0.216210 | + | 0.374486i | ||||
\(933\) | −11.2136 | − | 6.47420i | −0.367118 | − | 0.211956i | ||||
\(934\) | −8.35210 | − | 31.1705i | −0.273289 | − | 1.01993i | ||||
\(935\) | − | 2.66727i | − | 0.0872291i | ||||||
\(936\) | −0.981704 | − | 3.46933i | −0.0320880 | − | 0.113399i | ||||
\(937\) | − | 25.5831i | − | 0.835763i | −0.908502 | − | 0.417882i | \(-0.862773\pi\) | ||
0.908502 | − | 0.417882i | \(-0.137227\pi\) | |||||||
\(938\) | −13.0229 | + | 2.23873i | −0.425212 | + | 0.0730970i | ||||
\(939\) | 7.48437 | − | 12.9633i | 0.244243 | − | 0.423042i | ||||
\(940\) | −7.94439 | + | 4.58670i | −0.259118 | + | 0.149602i | ||||
\(941\) | −4.87350 | − | 4.87350i | −0.158871 | − | 0.158871i | 0.623195 | − | 0.782066i | \(-0.285834\pi\) |
−0.782066 | + | 0.623195i | \(0.785834\pi\) | |||||||
\(942\) | 14.2226 | + | 3.81093i | 0.463397 | + | 0.124167i | ||||
\(943\) | 39.3535 | + | 10.5447i | 1.28153 | + | 0.343384i | ||||
\(944\) | −2.99280 | + | 2.99280i | −0.0974073 | + | 0.0974073i | ||||
\(945\) | −8.59568 | + | 3.96343i | −0.279617 | + | 0.128930i | ||||
\(946\) | 0.408414 | + | 0.235798i | 0.0132787 | + | 0.00766646i | ||||
\(947\) | −40.2565 | + | 10.7867i | −1.30816 | + | 0.350520i | −0.844530 | − | 0.535509i | \(-0.820120\pi\) |
−0.463630 | + | 0.886029i | \(0.653453\pi\) | |||||||
\(948\) | −8.03063 | −0.260823 | ||||||||
\(949\) | 9.90269 | − | 39.1343i | 0.321455 | − | 1.27035i | ||||
\(950\) | 41.4288i | 1.34413i | ||||||||
\(951\) | 9.46924 | − | 2.53728i | 0.307061 | − | 0.0822768i | ||||
\(952\) | 7.78830 | − | 11.0219i | 0.252420 | − | 0.357222i | ||||
\(953\) | 4.66440 | − | 2.69299i | 0.151095 | − | 0.0872347i | −0.422546 | − | 0.906341i | \(-0.638864\pi\) |
0.573641 | + | 0.819107i | \(0.305530\pi\) | |||||||
\(954\) | 5.04789 | − | 5.04789i | 0.163431 | − | 0.163431i | ||||
\(955\) | 13.8992 | − | 51.8725i | 0.449767 | − | 1.67855i | ||||
\(956\) | 5.91106 | − | 22.0604i | 0.191177 | − | 0.713484i | ||||
\(957\) | −0.378875 | + | 0.378875i | −0.0122473 | + | 0.0122473i | ||||
\(958\) | 23.1341 | − | 13.3565i | 0.747429 | − | 0.431529i | ||||
\(959\) | −21.7833 | + | 30.8274i | −0.703419 | + | 0.995470i | ||||
\(960\) | 3.45569 | − | 0.925950i | 0.111532 | − | 0.0298849i | ||||
\(961\) | 68.1500i | 2.19839i | ||||||||
\(962\) | 11.9278 | + | 6.66629i | 0.384567 | + | 0.214930i | ||||
\(963\) | 0.154635 | 0.00498305 | ||||||||
\(964\) | −26.0443 | + | 6.97856i | −0.838832 | + | 0.224764i | ||||
\(965\) | 63.6620 | + | 36.7553i | 2.04935 | + | 1.18319i | ||||
\(966\) | −13.5297 | + | 6.23848i | −0.435310 | + | 0.200720i | ||||
\(967\) | −25.0814 | + | 25.0814i | −0.806565 | + | 0.806565i | −0.984112 | − | 0.177548i | \(-0.943184\pi\) |
0.177548 | + | 0.984112i | \(0.443184\pi\) | |||||||
\(968\) | −10.6045 | − | 2.84148i | −0.340843 | − | 0.0913286i | ||||
\(969\) | 26.1728 | + | 7.01298i | 0.840792 | + | 0.225289i | ||||
\(970\) | −17.6635 | − | 17.6635i | −0.567141 | − | 0.567141i | ||||
\(971\) | 18.2197 | − | 10.5191i | 0.584697 | − | 0.337575i | −0.178301 | − | 0.983976i | \(-0.557060\pi\) |
0.762998 | + | 0.646401i | \(0.223727\pi\) | |||||||
\(972\) | −0.500000 | + | 0.866025i | −0.0160375 | + | 0.0277778i | ||||
\(973\) | −40.6307 | + | 6.98472i | −1.30256 | + | 0.223920i | ||||
\(974\) | − | 8.08818i | − | 0.259162i | ||||||
\(975\) | 0.392489 | + | 28.1177i | 0.0125697 | + | 0.900487i | ||||
\(976\) | − | 11.1136i | − | 0.355739i | ||||||
\(977\) | −8.19242 | − | 30.5745i | −0.262099 | − | 0.978165i | −0.964002 | − | 0.265894i | \(-0.914333\pi\) |
0.701904 | − | 0.712272i | \(-0.252334\pi\) | |||||||
\(978\) | −10.7491 | − | 6.20599i | −0.343718 | − | 0.198446i | ||||
\(979\) | 0.926971 | + | 1.60556i | 0.0296261 | + | 0.0513139i | ||||
\(980\) | −14.1877 | − | 20.6366i | −0.453208 | − | 0.659214i | ||||
\(981\) | −7.89092 | − | 2.11437i | −0.251938 | − | 0.0675065i | ||||
\(982\) | −7.25525 | + | 27.0770i | −0.231524 | + | 0.864060i | ||||
\(983\) | 27.5835 | − | 27.5835i | 0.879777 | − | 0.879777i | −0.113734 | − | 0.993511i | \(-0.536281\pi\) |
0.993511 | + | 0.113734i | \(0.0362811\pi\) | |||||||
\(984\) | 3.61752 | + | 6.26572i | 0.115322 | + | 0.199744i | ||||
\(985\) | 24.8859 | − | 43.1036i | 0.792931 | − | 1.37340i | ||||
\(986\) | 4.83993 | + | 18.0629i | 0.154135 | + | 0.575239i | ||||
\(987\) | 6.75561 | + | 0.620251i | 0.215034 | + | 0.0197428i | ||||
\(988\) | 13.7305 | + | 13.3525i | 0.436826 | + | 0.424799i | ||||
\(989\) | −18.1697 | −0.577762 | ||||||||
\(990\) | −0.505077 | + | 0.135335i | −0.0160524 | + | 0.00430122i | ||||
\(991\) | −18.1434 | + | 31.4254i | −0.576345 | + | 0.998259i | 0.419549 | + | 0.907733i | \(0.362188\pi\) |
−0.995894 | + | 0.0905266i | \(0.971145\pi\) | |||||||
\(992\) | −4.97871 | − | 8.62337i | −0.158074 | − | 0.273792i | ||||
\(993\) | −24.3766 | − | 24.3766i | −0.773567 | − | 0.773567i | ||||
\(994\) | −6.14059 | + | 16.6486i | −0.194768 | + | 0.528061i | ||||
\(995\) | −8.54429 | + | 31.8877i | −0.270872 | + | 1.01091i | ||||
\(996\) | −5.59369 | − | 5.59369i | −0.177243 | − | 0.177243i | ||||
\(997\) | −4.09769 | + | 2.36580i | −0.129775 | + | 0.0749257i | −0.563482 | − | 0.826128i | \(-0.690539\pi\) |
0.433707 | + | 0.901054i | \(0.357205\pi\) | |||||||
\(998\) | −20.1691 | − | 11.6447i | −0.638443 | − | 0.368605i | ||||
\(999\) | −0.980866 | − | 3.66064i | −0.0310332 | − | 0.115818i |
(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.bx.a.97.5 | ✓ | 40 | |
7.6 | odd | 2 | 546.2.bx.b.97.1 | yes | 40 | ||
13.11 | odd | 12 | 546.2.bx.b.349.1 | yes | 40 | ||
91.76 | even | 12 | inner | 546.2.bx.a.349.5 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bx.a.97.5 | ✓ | 40 | 1.1 | even | 1 | trivial | |
546.2.bx.a.349.5 | yes | 40 | 91.76 | even | 12 | inner | |
546.2.bx.b.97.1 | yes | 40 | 7.6 | odd | 2 | ||
546.2.bx.b.349.1 | yes | 40 | 13.11 | odd | 12 |