Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(5,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.l (of order \(6\), degree \(2\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Root | \(0.765614 - 1.55365i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.5 |
Dual form | 126.2.l.a.101.8 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 1.52765 | − | 0.816261i | 0.881990 | − | 0.471268i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −1.82207 | − | 3.15592i | −0.814855 | − | 1.41137i | −0.909432 | − | 0.415853i | \(-0.863483\pi\) |
0.0945763 | − | 0.995518i | \(-0.469850\pi\) | |||||||
\(6\) | −0.816261 | − | 1.52765i | −0.333237 | − | 0.623661i | ||||
\(7\) | −1.58246 | + | 2.12034i | −0.598113 | + | 0.801412i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 1.66744 | − | 2.49392i | 0.555812 | − | 0.831308i | ||||
\(10\) | −3.15592 | + | 1.82207i | −0.997990 | + | 0.576190i | ||||
\(11\) | 4.38809 | + | 2.53346i | 1.32306 | + | 0.763868i | 0.984215 | − | 0.176975i | \(-0.0566313\pi\) |
0.338843 | + | 0.940843i | \(0.389965\pi\) | |||||||
\(12\) | −1.52765 | + | 0.816261i | −0.440995 | + | 0.235634i | ||||
\(13\) | 2.94391 | + | 1.69967i | 0.816495 | + | 0.471404i | 0.849206 | − | 0.528061i | \(-0.177081\pi\) |
−0.0327114 | + | 0.999465i | \(0.510414\pi\) | |||||||
\(14\) | 2.12034 | + | 1.58246i | 0.566684 | + | 0.422930i | ||||
\(15\) | −5.35954 | − | 3.33386i | −1.38383 | − | 0.860799i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −0.774696 | − | 1.34181i | −0.187891 | − | 0.325438i | 0.756656 | − | 0.653814i | \(-0.226832\pi\) |
−0.944547 | + | 0.328376i | \(0.893499\pi\) | |||||||
\(18\) | −2.49392 | − | 1.66744i | −0.587823 | − | 0.393019i | ||||
\(19\) | −0.707140 | − | 0.408267i | −0.162229 | − | 0.0936629i | 0.416687 | − | 0.909050i | \(-0.363191\pi\) |
−0.578916 | + | 0.815387i | \(0.696524\pi\) | |||||||
\(20\) | 1.82207 | + | 3.15592i | 0.407428 | + | 0.705685i | ||||
\(21\) | −0.686700 | + | 4.53083i | −0.149850 | + | 0.988709i | ||||
\(22\) | 2.53346 | − | 4.38809i | 0.540136 | − | 0.935543i | ||||
\(23\) | 1.47275 | − | 0.850294i | 0.307090 | − | 0.177299i | −0.338533 | − | 0.940954i | \(-0.609931\pi\) |
0.645624 | + | 0.763656i | \(0.276598\pi\) | |||||||
\(24\) | 0.816261 | + | 1.52765i | 0.166618 | + | 0.311831i | ||||
\(25\) | −4.13989 | + | 7.17050i | −0.827979 | + | 1.43410i | ||||
\(26\) | 1.69967 | − | 2.94391i | 0.333333 | − | 0.577349i | ||||
\(27\) | 0.511572 | − | 5.17091i | 0.0984521 | − | 0.995142i | ||||
\(28\) | 1.58246 | − | 2.12034i | 0.299057 | − | 0.400706i | ||||
\(29\) | −3.60693 | + | 2.08246i | −0.669789 | + | 0.386703i | −0.795997 | − | 0.605301i | \(-0.793053\pi\) |
0.126208 | + | 0.992004i | \(0.459719\pi\) | |||||||
\(30\) | −3.33386 | + | 5.35954i | −0.608677 | + | 0.978515i | ||||
\(31\) | 2.16996i | 0.389736i | 0.980830 | + | 0.194868i | \(0.0624278\pi\) | ||||
−0.980830 | + | 0.194868i | \(0.937572\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 8.77143 | + | 0.288426i | 1.52691 | + | 0.0502086i | ||||
\(34\) | −1.34181 | + | 0.774696i | −0.230119 | + | 0.132859i | ||||
\(35\) | 9.57497 | + | 1.13071i | 1.61846 | + | 0.191125i | ||||
\(36\) | −1.66744 | + | 2.49392i | −0.277906 | + | 0.415654i | ||||
\(37\) | −3.39979 | + | 5.88860i | −0.558921 | + | 0.968080i | 0.438666 | + | 0.898650i | \(0.355451\pi\) |
−0.997587 | + | 0.0694297i | \(0.977882\pi\) | |||||||
\(38\) | −0.408267 | + | 0.707140i | −0.0662297 | + | 0.114713i | ||||
\(39\) | 5.88465 | + | 0.193502i | 0.942298 | + | 0.0309851i | ||||
\(40\) | 3.15592 | − | 1.82207i | 0.498995 | − | 0.288095i | ||||
\(41\) | 1.01681 | − | 1.76117i | 0.158799 | − | 0.275049i | −0.775637 | − | 0.631180i | \(-0.782571\pi\) |
0.934436 | + | 0.356131i | \(0.115904\pi\) | |||||||
\(42\) | 4.53083 | + | 0.686700i | 0.699123 | + | 0.105960i | ||||
\(43\) | 3.06189 | + | 5.30335i | 0.466934 | + | 0.808753i | 0.999286 | − | 0.0377695i | \(-0.0120253\pi\) |
−0.532353 | + | 0.846523i | \(0.678692\pi\) | |||||||
\(44\) | −4.38809 | − | 2.53346i | −0.661529 | − | 0.381934i | ||||
\(45\) | −10.9088 | − | 0.718194i | −1.62619 | − | 0.107062i | ||||
\(46\) | −0.850294 | − | 1.47275i | −0.125369 | − | 0.217146i | ||||
\(47\) | −6.74255 | −0.983502 | −0.491751 | − | 0.870736i | \(-0.663643\pi\) | ||||
−0.491751 | + | 0.870736i | \(0.663643\pi\) | |||||||
\(48\) | 1.52765 | − | 0.816261i | 0.220497 | − | 0.117817i | ||||
\(49\) | −1.99165 | − | 6.71069i | −0.284521 | − | 0.958670i | ||||
\(50\) | 7.17050 | + | 4.13989i | 1.01406 | + | 0.585469i | ||||
\(51\) | −2.27874 | − | 1.41747i | −0.319087 | − | 0.198485i | ||||
\(52\) | −2.94391 | − | 1.69967i | −0.408247 | − | 0.235702i | ||||
\(53\) | −11.4961 | + | 6.63726i | −1.57911 | + | 0.911698i | −0.584123 | + | 0.811665i | \(0.698561\pi\) |
−0.994984 | + | 0.100032i | \(0.968105\pi\) | |||||||
\(54\) | −5.17091 | − | 0.511572i | −0.703672 | − | 0.0696161i | ||||
\(55\) | − | 18.4646i | − | 2.48977i | ||||||
\(56\) | −2.12034 | − | 1.58246i | −0.283342 | − | 0.211465i | ||||
\(57\) | −1.41352 | − | 0.0464799i | −0.187225 | − | 0.00615641i | ||||
\(58\) | 2.08246 | + | 3.60693i | 0.273440 | + | 0.473612i | ||||
\(59\) | −2.17632 | −0.283333 | −0.141666 | − | 0.989914i | \(-0.545246\pi\) | ||||
−0.141666 | + | 0.989914i | \(0.545246\pi\) | |||||||
\(60\) | 5.35954 | + | 3.33386i | 0.691914 | + | 0.430400i | ||||
\(61\) | − | 7.25382i | − | 0.928756i | −0.885637 | − | 0.464378i | \(-0.846278\pi\) | ||
0.885637 | − | 0.464378i | \(-0.153722\pi\) | |||||||
\(62\) | 2.16996 | 0.275585 | ||||||||
\(63\) | 2.64930 | + | 7.48206i | 0.333781 | + | 0.942651i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | − | 12.3877i | − | 1.53650i | ||||||
\(66\) | 0.288426 | − | 8.77143i | 0.0355028 | − | 1.07969i | ||||
\(67\) | 2.45641 | 0.300098 | 0.150049 | − | 0.988679i | \(-0.452057\pi\) | ||||
0.150049 | + | 0.988679i | \(0.452057\pi\) | |||||||
\(68\) | 0.774696 | + | 1.34181i | 0.0939457 | + | 0.162719i | ||||
\(69\) | 1.55579 | − | 2.50110i | 0.187295 | − | 0.301097i | ||||
\(70\) | 1.13071 | − | 9.57497i | 0.135146 | − | 1.14443i | ||||
\(71\) | − | 6.74272i | − | 0.800213i | −0.916469 | − | 0.400107i | \(-0.868973\pi\) | ||
0.916469 | − | 0.400107i | \(-0.131027\pi\) | |||||||
\(72\) | 2.49392 | + | 1.66744i | 0.293912 | + | 0.196509i | ||||
\(73\) | 3.76912 | − | 2.17610i | 0.441142 | − | 0.254694i | −0.262940 | − | 0.964812i | \(-0.584692\pi\) |
0.704082 | + | 0.710119i | \(0.251359\pi\) | |||||||
\(74\) | 5.88860 | + | 3.39979i | 0.684536 | + | 0.395217i | ||||
\(75\) | −0.471313 | + | 14.3333i | −0.0544225 | + | 1.65506i | ||||
\(76\) | 0.707140 | + | 0.408267i | 0.0811145 | + | 0.0468315i | ||||
\(77\) | −12.3158 | + | 5.29511i | −1.40351 | + | 0.603434i | ||||
\(78\) | 0.193502 | − | 5.88465i | 0.0219097 | − | 0.666305i | ||||
\(79\) | 12.7530 | 1.43483 | 0.717414 | − | 0.696647i | \(-0.245326\pi\) | ||||
0.717414 | + | 0.696647i | \(0.245326\pi\) | |||||||
\(80\) | −1.82207 | − | 3.15592i | −0.203714 | − | 0.352843i | ||||
\(81\) | −3.43930 | − | 8.31692i | −0.382145 | − | 0.924102i | ||||
\(82\) | −1.76117 | − | 1.01681i | −0.194489 | − | 0.112288i | ||||
\(83\) | 0.768040 | + | 1.33028i | 0.0843034 | + | 0.146018i | 0.905094 | − | 0.425211i | \(-0.139800\pi\) |
−0.820791 | + | 0.571229i | \(0.806467\pi\) | |||||||
\(84\) | 0.686700 | − | 4.53083i | 0.0749251 | − | 0.494354i | ||||
\(85\) | −2.82310 | + | 4.88976i | −0.306209 | + | 0.530369i | ||||
\(86\) | 5.30335 | − | 3.06189i | 0.571875 | − | 0.330172i | ||||
\(87\) | −3.81029 | + | 6.12546i | −0.408506 | + | 0.656718i | ||||
\(88\) | −2.53346 | + | 4.38809i | −0.270068 | + | 0.467772i | ||||
\(89\) | −6.01679 | + | 10.4214i | −0.637778 | + | 1.10466i | 0.348141 | + | 0.937442i | \(0.386813\pi\) |
−0.985919 | + | 0.167222i | \(0.946520\pi\) | |||||||
\(90\) | −0.718194 | + | 10.9088i | −0.0757043 | + | 1.14989i | ||||
\(91\) | −8.26249 | + | 3.55243i | −0.866145 | + | 0.372396i | ||||
\(92\) | −1.47275 | + | 0.850294i | −0.153545 | + | 0.0886493i | ||||
\(93\) | 1.77125 | + | 3.31494i | 0.183670 | + | 0.343743i | ||||
\(94\) | 6.74255i | 0.695441i | ||||||||
\(95\) | 2.97557i | 0.305287i | ||||||||
\(96\) | −0.816261 | − | 1.52765i | −0.0833092 | − | 0.155915i | ||||
\(97\) | −5.59509 | + | 3.23033i | −0.568095 | + | 0.327990i | −0.756388 | − | 0.654123i | \(-0.773038\pi\) |
0.188293 | + | 0.982113i | \(0.439705\pi\) | |||||||
\(98\) | −6.71069 | + | 1.99165i | −0.677882 | + | 0.201187i | ||||
\(99\) | 13.6351 | − | 6.71916i | 1.37038 | − | 0.675301i | ||||
\(100\) | 4.13989 | − | 7.17050i | 0.413989 | − | 0.717050i | ||||
\(101\) | 5.95045 | − | 10.3065i | 0.592092 | − | 1.02553i | −0.401858 | − | 0.915702i | \(-0.631636\pi\) |
0.993950 | − | 0.109831i | \(-0.0350311\pi\) | |||||||
\(102\) | −1.41747 | + | 2.27874i | −0.140350 | + | 0.225628i | ||||
\(103\) | 12.7174 | − | 7.34240i | 1.25308 | − | 0.723468i | 0.281363 | − | 0.959601i | \(-0.409214\pi\) |
0.971721 | + | 0.236134i | \(0.0758803\pi\) | |||||||
\(104\) | −1.69967 | + | 2.94391i | −0.166666 | + | 0.288675i | ||||
\(105\) | 15.5502 | − | 6.08833i | 1.51754 | − | 0.594161i | ||||
\(106\) | 6.63726 | + | 11.4961i | 0.644668 | + | 1.11660i | ||||
\(107\) | −2.87453 | − | 1.65961i | −0.277891 | − | 0.160440i | 0.354577 | − | 0.935027i | \(-0.384625\pi\) |
−0.632468 | + | 0.774586i | \(0.717958\pi\) | |||||||
\(108\) | −0.511572 | + | 5.17091i | −0.0492260 | + | 0.497571i | ||||
\(109\) | 1.41837 | + | 2.45668i | 0.135855 | + | 0.235308i | 0.925924 | − | 0.377711i | \(-0.123289\pi\) |
−0.790069 | + | 0.613018i | \(0.789955\pi\) | |||||||
\(110\) | −18.4646 | −1.76053 | ||||||||
\(111\) | −0.387054 | + | 11.7708i | −0.0367376 | + | 1.11724i | ||||
\(112\) | −1.58246 | + | 2.12034i | −0.149528 | + | 0.200353i | ||||
\(113\) | −6.80465 | − | 3.92866i | −0.640127 | − | 0.369578i | 0.144536 | − | 0.989500i | \(-0.453831\pi\) |
−0.784664 | + | 0.619922i | \(0.787164\pi\) | |||||||
\(114\) | −0.0464799 | + | 1.41352i | −0.00435324 | + | 0.132388i | ||||
\(115\) | −5.36692 | − | 3.09859i | −0.500468 | − | 0.288945i | ||||
\(116\) | 3.60693 | − | 2.08246i | 0.334895 | − | 0.193351i | ||||
\(117\) | 9.14764 | − | 4.50780i | 0.845699 | − | 0.416746i | ||||
\(118\) | 2.17632i | 0.200346i | ||||||||
\(119\) | 4.07102 | + | 0.480749i | 0.373190 | + | 0.0440702i | ||||
\(120\) | 3.33386 | − | 5.35954i | 0.304339 | − | 0.489257i | ||||
\(121\) | 7.33687 | + | 12.7078i | 0.666988 | + | 1.15526i | ||||
\(122\) | −7.25382 | −0.656730 | ||||||||
\(123\) | 0.115761 | − | 3.52044i | 0.0104378 | − | 0.317427i | ||||
\(124\) | − | 2.16996i | − | 0.194868i | ||||||
\(125\) | 11.9520 | 1.06902 | ||||||||
\(126\) | 7.48206 | − | 2.64930i | 0.666555 | − | 0.236019i | ||||
\(127\) | −17.4279 | −1.54647 | −0.773237 | − | 0.634117i | \(-0.781364\pi\) | ||||
−0.773237 | + | 0.634117i | \(0.781364\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 9.00642 | + | 5.60237i | 0.792971 | + | 0.493261i | ||||
\(130\) | −12.3877 | −1.08647 | ||||||||
\(131\) | 1.61603 | + | 2.79904i | 0.141193 | + | 0.244554i | 0.927946 | − | 0.372714i | \(-0.121573\pi\) |
−0.786753 | + | 0.617268i | \(0.788240\pi\) | |||||||
\(132\) | −8.77143 | − | 0.288426i | −0.763455 | − | 0.0251043i | ||||
\(133\) | 1.98468 | − | 0.853307i | 0.172094 | − | 0.0739911i | ||||
\(134\) | − | 2.45641i | − | 0.212201i | ||||||
\(135\) | −17.2511 | + | 7.80729i | −1.48474 | + | 0.671944i | ||||
\(136\) | 1.34181 | − | 0.774696i | 0.115060 | − | 0.0664297i | ||||
\(137\) | 12.6284 | + | 7.29101i | 1.07892 | + | 0.622913i | 0.930604 | − | 0.366027i | \(-0.119282\pi\) |
0.148313 | + | 0.988940i | \(0.452616\pi\) | |||||||
\(138\) | −2.50110 | − | 1.55579i | −0.212908 | − | 0.132438i | ||||
\(139\) | −4.97814 | − | 2.87413i | −0.422240 | − | 0.243780i | 0.273795 | − | 0.961788i | \(-0.411721\pi\) |
−0.696035 | + | 0.718008i | \(0.745054\pi\) | |||||||
\(140\) | −9.57497 | − | 1.13071i | −0.809232 | − | 0.0955626i | ||||
\(141\) | −10.3003 | + | 5.50368i | −0.867438 | + | 0.463493i | ||||
\(142\) | −6.74272 | −0.565836 | ||||||||
\(143\) | 8.61210 | + | 14.9166i | 0.720180 | + | 1.24739i | ||||
\(144\) | 1.66744 | − | 2.49392i | 0.138953 | − | 0.207827i | ||||
\(145\) | 13.1442 | + | 7.58878i | 1.09156 | + | 0.630214i | ||||
\(146\) | −2.17610 | − | 3.76912i | −0.180096 | − | 0.311935i | ||||
\(147\) | −8.52021 | − | 8.62589i | −0.702735 | − | 0.711451i | ||||
\(148\) | 3.39979 | − | 5.88860i | 0.279461 | − | 0.484040i | ||||
\(149\) | 4.95904 | − | 2.86310i | 0.406261 | − | 0.234555i | −0.282921 | − | 0.959143i | \(-0.591303\pi\) |
0.689182 | + | 0.724589i | \(0.257970\pi\) | |||||||
\(150\) | 14.3333 | + | 0.471313i | 1.17031 | + | 0.0384825i | ||||
\(151\) | 6.38483 | − | 11.0589i | 0.519590 | − | 0.899957i | −0.480151 | − | 0.877186i | \(-0.659418\pi\) |
0.999741 | − | 0.0227705i | \(-0.00724870\pi\) | |||||||
\(152\) | 0.408267 | − | 0.707140i | 0.0331148 | − | 0.0573566i | ||||
\(153\) | −4.63814 | − | 0.305357i | −0.374971 | − | 0.0246866i | ||||
\(154\) | 5.29511 | + | 12.3158i | 0.426692 | + | 0.992432i | ||||
\(155\) | 6.84821 | − | 3.95382i | 0.550062 | − | 0.317578i | ||||
\(156\) | −5.88465 | − | 0.193502i | −0.471149 | − | 0.0154925i | ||||
\(157\) | − | 12.7707i | − | 1.01921i | −0.860407 | − | 0.509607i | \(-0.829791\pi\) | ||
0.860407 | − | 0.509607i | \(-0.170209\pi\) | |||||||
\(158\) | − | 12.7530i | − | 1.01458i | ||||||
\(159\) | −12.1443 | + | 19.5232i | −0.963102 | + | 1.54829i | ||||
\(160\) | −3.15592 | + | 1.82207i | −0.249497 | + | 0.144047i | ||||
\(161\) | −0.527662 | + | 4.46829i | −0.0415856 | + | 0.352150i | ||||
\(162\) | −8.31692 | + | 3.43930i | −0.653439 | + | 0.270217i | ||||
\(163\) | −1.51018 | + | 2.61570i | −0.118286 | + | 0.204878i | −0.919089 | − | 0.394051i | \(-0.871073\pi\) |
0.800802 | + | 0.598929i | \(0.204407\pi\) | |||||||
\(164\) | −1.01681 | + | 1.76117i | −0.0793997 | + | 0.137524i | ||||
\(165\) | −15.0719 | − | 28.2075i | −1.17335 | − | 2.19595i | ||||
\(166\) | 1.33028 | − | 0.768040i | 0.103250 | − | 0.0596115i | ||||
\(167\) | −7.14766 | + | 12.3801i | −0.553103 | + | 0.958002i | 0.444946 | + | 0.895557i | \(0.353223\pi\) |
−0.998048 | + | 0.0624443i | \(0.980110\pi\) | |||||||
\(168\) | −4.53083 | − | 0.686700i | −0.349561 | − | 0.0529800i | ||||
\(169\) | −0.722247 | − | 1.25097i | −0.0555575 | − | 0.0962284i | ||||
\(170\) | 4.88976 | + | 2.82310i | 0.375028 | + | 0.216522i | ||||
\(171\) | −2.19730 | + | 1.08279i | −0.168032 | + | 0.0828032i | ||||
\(172\) | −3.06189 | − | 5.30335i | −0.233467 | − | 0.404377i | ||||
\(173\) | 2.19905 | 0.167191 | 0.0835954 | − | 0.996500i | \(-0.473360\pi\) | ||||
0.0835954 | + | 0.996500i | \(0.473360\pi\) | |||||||
\(174\) | 6.12546 | + | 3.81029i | 0.464370 | + | 0.288858i | ||||
\(175\) | −8.65267 | − | 20.1250i | −0.654080 | − | 1.52131i | ||||
\(176\) | 4.38809 | + | 2.53346i | 0.330764 | + | 0.190967i | ||||
\(177\) | −3.32466 | + | 1.77644i | −0.249897 | + | 0.133526i | ||||
\(178\) | 10.4214 | + | 6.01679i | 0.781116 | + | 0.450977i | ||||
\(179\) | 9.30715 | − | 5.37349i | 0.695649 | − | 0.401633i | −0.110076 | − | 0.993923i | \(-0.535109\pi\) |
0.805725 | + | 0.592290i | \(0.201776\pi\) | |||||||
\(180\) | 10.9088 | + | 0.718194i | 0.813095 | + | 0.0535310i | ||||
\(181\) | 14.4710i | 1.07562i | 0.843065 | + | 0.537811i | \(0.180749\pi\) | ||||
−0.843065 | + | 0.537811i | \(0.819251\pi\) | |||||||
\(182\) | 3.55243 | + | 8.26249i | 0.263323 | + | 0.612457i | ||||
\(183\) | −5.92100 | − | 11.0813i | −0.437693 | − | 0.819153i | ||||
\(184\) | 0.850294 | + | 1.47275i | 0.0626845 | + | 0.108573i | ||||
\(185\) | 24.7786 | 1.82176 | ||||||||
\(186\) | 3.31494 | − | 1.77125i | 0.243063 | − | 0.129874i | ||||
\(187\) | − | 7.85066i | − | 0.574097i | ||||||
\(188\) | 6.74255 | 0.491751 | ||||||||
\(189\) | 10.1545 | + | 9.26746i | 0.738633 | + | 0.674108i | ||||
\(190\) | 2.97557 | 0.215871 | ||||||||
\(191\) | − | 8.33194i | − | 0.602878i | −0.953485 | − | 0.301439i | \(-0.902533\pi\) | ||
0.953485 | − | 0.301439i | \(-0.0974670\pi\) | |||||||
\(192\) | −1.52765 | + | 0.816261i | −0.110249 | + | 0.0589085i | ||||
\(193\) | −9.56786 | −0.688710 | −0.344355 | − | 0.938840i | \(-0.611902\pi\) | ||||
−0.344355 | + | 0.938840i | \(0.611902\pi\) | |||||||
\(194\) | 3.23033 | + | 5.59509i | 0.231924 | + | 0.401704i | ||||
\(195\) | −10.1116 | − | 18.9241i | −0.724105 | − | 1.35518i | ||||
\(196\) | 1.99165 | + | 6.71069i | 0.142260 | + | 0.479335i | ||||
\(197\) | − | 2.37228i | − | 0.169018i | −0.996423 | − | 0.0845089i | \(-0.973068\pi\) | ||
0.996423 | − | 0.0845089i | \(-0.0269322\pi\) | |||||||
\(198\) | −6.71916 | − | 13.6351i | −0.477510 | − | 0.969006i | ||||
\(199\) | 19.4983 | − | 11.2573i | 1.38220 | − | 0.798011i | 0.389777 | − | 0.920909i | \(-0.372552\pi\) |
0.992419 | + | 0.122898i | \(0.0392188\pi\) | |||||||
\(200\) | −7.17050 | − | 4.13989i | −0.507031 | − | 0.292735i | ||||
\(201\) | 3.75253 | − | 2.00507i | 0.264683 | − | 0.141427i | ||||
\(202\) | −10.3065 | − | 5.95045i | −0.725161 | − | 0.418672i | ||||
\(203\) | 1.29230 | − | 10.9433i | 0.0907016 | − | 0.768069i | ||||
\(204\) | 2.27874 | + | 1.41747i | 0.159543 | + | 0.0992427i | ||||
\(205\) | −7.41083 | −0.517594 | ||||||||
\(206\) | −7.34240 | − | 12.7174i | −0.511569 | − | 0.886064i | ||||
\(207\) | 0.335155 | − | 5.09074i | 0.0232949 | − | 0.353831i | ||||
\(208\) | 2.94391 | + | 1.69967i | 0.204124 | + | 0.117851i | ||||
\(209\) | −2.06866 | − | 3.58302i | −0.143092 | − | 0.247843i | ||||
\(210\) | −6.08833 | − | 15.5502i | −0.420135 | − | 1.07306i | ||||
\(211\) | −7.27211 | + | 12.5957i | −0.500632 | + | 0.867121i | 0.499367 | + | 0.866390i | \(0.333566\pi\) |
−1.00000 | 0.000730453i | \(0.999767\pi\) | ||||||||
\(212\) | 11.4961 | − | 6.63726i | 0.789553 | − | 0.455849i | ||||
\(213\) | −5.50381 | − | 10.3005i | −0.377115 | − | 0.705780i | ||||
\(214\) | −1.65961 | + | 2.87453i | −0.113449 | + | 0.196499i | ||||
\(215\) | 11.1580 | − | 19.3262i | 0.760967 | − | 1.31803i | ||||
\(216\) | 5.17091 | + | 0.511572i | 0.351836 | + | 0.0348081i | ||||
\(217\) | −4.60104 | − | 3.43387i | −0.312339 | − | 0.233106i | ||||
\(218\) | 2.45668 | − | 1.41837i | 0.166388 | − | 0.0960640i | ||||
\(219\) | 3.98163 | − | 6.40091i | 0.269054 | − | 0.432533i | ||||
\(220\) | 18.4646i | 1.24488i | ||||||||
\(221\) | − | 5.26691i | − | 0.354291i | ||||||
\(222\) | 11.7708 | + | 0.387054i | 0.790007 | + | 0.0259774i | ||||
\(223\) | −22.5221 | + | 13.0031i | −1.50819 | + | 0.870753i | −0.508235 | + | 0.861219i | \(0.669702\pi\) |
−0.999955 | + | 0.00953489i | \(0.996965\pi\) | |||||||
\(224\) | 2.12034 | + | 1.58246i | 0.141671 | + | 0.105732i | ||||
\(225\) | 10.9797 | + | 22.2809i | 0.731978 | + | 1.48540i | ||||
\(226\) | −3.92866 | + | 6.80465i | −0.261331 | + | 0.452638i | ||||
\(227\) | −11.4390 | + | 19.8129i | −0.759231 | + | 1.31503i | 0.184012 | + | 0.982924i | \(0.441091\pi\) |
−0.943243 | + | 0.332103i | \(0.892242\pi\) | |||||||
\(228\) | 1.41352 | + | 0.0464799i | 0.0936123 | + | 0.00307820i | ||||
\(229\) | −23.3224 | + | 13.4652i | −1.54118 | + | 0.889803i | −0.542420 | + | 0.840107i | \(0.682492\pi\) |
−0.998764 | + | 0.0496960i | \(0.984175\pi\) | |||||||
\(230\) | −3.09859 | + | 5.36692i | −0.204315 | + | 0.353884i | ||||
\(231\) | −14.4920 | + | 18.1420i | −0.953503 | + | 1.19365i | ||||
\(232\) | −2.08246 | − | 3.60693i | −0.136720 | − | 0.236806i | ||||
\(233\) | −3.82003 | − | 2.20550i | −0.250259 | − | 0.144487i | 0.369624 | − | 0.929181i | \(-0.379486\pi\) |
−0.619883 | + | 0.784694i | \(0.712820\pi\) | |||||||
\(234\) | −4.50780 | − | 9.14764i | −0.294684 | − | 0.598000i | ||||
\(235\) | 12.2854 | + | 21.2789i | 0.801412 | + | 1.38809i | ||||
\(236\) | 2.17632 | 0.141666 | ||||||||
\(237\) | 19.4822 | − | 10.4098i | 1.26550 | − | 0.676189i | ||||
\(238\) | 0.480749 | − | 4.07102i | 0.0311623 | − | 0.263885i | ||||
\(239\) | 16.1660 | + | 9.33343i | 1.04569 | + | 0.603729i | 0.921440 | − | 0.388522i | \(-0.127014\pi\) |
0.124250 | + | 0.992251i | \(0.460347\pi\) | |||||||
\(240\) | −5.35954 | − | 3.33386i | −0.345957 | − | 0.215200i | ||||
\(241\) | 0.412458 | + | 0.238133i | 0.0265688 | + | 0.0153395i | 0.513226 | − | 0.858254i | \(-0.328450\pi\) |
−0.486657 | + | 0.873593i | \(0.661784\pi\) | |||||||
\(242\) | 12.7078 | − | 7.33687i | 0.816890 | − | 0.471632i | ||||
\(243\) | −12.0428 | − | 9.89799i | −0.772548 | − | 0.634956i | ||||
\(244\) | 7.25382i | 0.464378i | ||||||||
\(245\) | −17.5495 | + | 18.5128i | −1.12120 | + | 1.18274i | ||||
\(246\) | −3.52044 | − | 0.115761i | −0.224455 | − | 0.00738063i | ||||
\(247\) | −1.38784 | − | 2.40381i | −0.0883061 | − | 0.152951i | ||||
\(248\) | −2.16996 | −0.137792 | ||||||||
\(249\) | 2.25916 | + | 1.40529i | 0.143168 | + | 0.0890566i | ||||
\(250\) | − | 11.9520i | − | 0.755912i | ||||||
\(251\) | −17.6939 | −1.11683 | −0.558415 | − | 0.829562i | \(-0.688590\pi\) | ||||
−0.558415 | + | 0.829562i | \(0.688590\pi\) | |||||||
\(252\) | −2.64930 | − | 7.48206i | −0.166890 | − | 0.471325i | ||||
\(253\) | 8.61675 | 0.541731 | ||||||||
\(254\) | 17.4279i | 1.09352i | ||||||||
\(255\) | −0.321401 | + | 9.77424i | −0.0201269 | + | 0.612087i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −11.5971 | − | 20.0867i | −0.723405 | − | 1.25297i | −0.959627 | − | 0.281275i | \(-0.909243\pi\) |
0.236222 | − | 0.971699i | \(-0.424091\pi\) | |||||||
\(258\) | 5.60237 | − | 9.00642i | 0.348788 | − | 0.560715i | ||||
\(259\) | −7.10579 | − | 16.5272i | −0.441532 | − | 1.02695i | ||||
\(260\) | 12.3877i | 0.768251i | ||||||||
\(261\) | −0.820829 | + | 12.4678i | −0.0508080 | + | 0.771735i | ||||
\(262\) | 2.79904 | − | 1.61603i | 0.172925 | − | 0.0998386i | ||||
\(263\) | 2.98247 | + | 1.72193i | 0.183907 | + | 0.106179i | 0.589127 | − | 0.808040i | \(-0.299472\pi\) |
−0.405220 | + | 0.914219i | \(0.632805\pi\) | |||||||
\(264\) | −0.288426 | + | 8.77143i | −0.0177514 | + | 0.539844i | ||||
\(265\) | 41.8933 | + | 24.1871i | 2.57349 | + | 1.48580i | ||||
\(266\) | −0.853307 | − | 1.98468i | −0.0523196 | − | 0.121689i | ||||
\(267\) | −0.684991 | + | 20.8315i | −0.0419208 | + | 1.27487i | ||||
\(268\) | −2.45641 | −0.150049 | ||||||||
\(269\) | −4.00690 | − | 6.94015i | −0.244305 | − | 0.423148i | 0.717631 | − | 0.696423i | \(-0.245226\pi\) |
−0.961936 | + | 0.273275i | \(0.911893\pi\) | |||||||
\(270\) | 7.80729 | + | 17.2511i | 0.475136 | + | 1.04987i | ||||
\(271\) | −1.55095 | − | 0.895442i | −0.0942136 | − | 0.0543942i | 0.452153 | − | 0.891940i | \(-0.350656\pi\) |
−0.546367 | + | 0.837546i | \(0.683989\pi\) | |||||||
\(272\) | −0.774696 | − | 1.34181i | −0.0469729 | − | 0.0813594i | ||||
\(273\) | −9.72250 | + | 12.1712i | −0.588433 | + | 0.736636i | ||||
\(274\) | 7.29101 | − | 12.6284i | 0.440466 | − | 0.762910i | ||||
\(275\) | −36.3324 | + | 20.9765i | −2.19093 | + | 1.26493i | ||||
\(276\) | −1.55579 | + | 2.50110i | −0.0936476 | + | 0.150549i | ||||
\(277\) | 12.2968 | − | 21.2986i | 0.738841 | − | 1.27971i | −0.214176 | − | 0.976795i | \(-0.568707\pi\) |
0.953017 | − | 0.302915i | \(-0.0979599\pi\) | |||||||
\(278\) | −2.87413 | + | 4.97814i | −0.172379 | + | 0.298569i | ||||
\(279\) | 5.41170 | + | 3.61827i | 0.323990 | + | 0.216620i | ||||
\(280\) | −1.13071 | + | 9.57497i | −0.0675730 | + | 0.572214i | ||||
\(281\) | 18.6262 | − | 10.7539i | 1.11115 | − | 0.641521i | 0.172021 | − | 0.985093i | \(-0.444970\pi\) |
0.939126 | + | 0.343572i | \(0.111637\pi\) | |||||||
\(282\) | 5.50368 | + | 10.3003i | 0.327739 | + | 0.613372i | ||||
\(283\) | 19.9480i | 1.18579i | 0.805281 | + | 0.592894i | \(0.202015\pi\) | ||||
−0.805281 | + | 0.592894i | \(0.797985\pi\) | |||||||
\(284\) | 6.74272i | 0.400107i | ||||||||
\(285\) | 2.42884 | + | 4.54563i | 0.143872 | + | 0.269260i | ||||
\(286\) | 14.9166 | − | 8.61210i | 0.882037 | − | 0.509244i | ||||
\(287\) | 2.12521 | + | 4.94297i | 0.125447 | + | 0.291774i | ||||
\(288\) | −2.49392 | − | 1.66744i | −0.146956 | − | 0.0982547i | ||||
\(289\) | 7.29969 | − | 12.6434i | 0.429394 | − | 0.743732i | ||||
\(290\) | 7.58878 | − | 13.1442i | 0.445629 | − | 0.771851i | ||||
\(291\) | −5.91056 | + | 9.50186i | −0.346483 | + | 0.557009i | ||||
\(292\) | −3.76912 | + | 2.17610i | −0.220571 | + | 0.127347i | ||||
\(293\) | −1.24656 | + | 2.15911i | −0.0728251 | + | 0.126137i | −0.900138 | − | 0.435604i | \(-0.856535\pi\) |
0.827313 | + | 0.561741i | \(0.189868\pi\) | |||||||
\(294\) | −8.62589 | + | 8.52021i | −0.503072 | + | 0.496909i | ||||
\(295\) | 3.96541 | + | 6.86829i | 0.230875 | + | 0.399887i | ||||
\(296\) | −5.88860 | − | 3.39979i | −0.342268 | − | 0.197609i | ||||
\(297\) | 15.3451 | − | 21.3943i | 0.890415 | − | 1.24143i | ||||
\(298\) | −2.86310 | − | 4.95904i | −0.165855 | − | 0.287270i | ||||
\(299\) | 5.78088 | 0.334317 | ||||||||
\(300\) | 0.471313 | − | 14.3333i | 0.0272113 | − | 0.827531i | ||||
\(301\) | −16.0902 | − | 1.90010i | −0.927423 | − | 0.109520i | ||||
\(302\) | −11.0589 | − | 6.38483i | −0.636365 | − | 0.367406i | ||||
\(303\) | 0.677439 | − | 20.6018i | 0.0389178 | − | 1.18354i | ||||
\(304\) | −0.707140 | − | 0.408267i | −0.0405572 | − | 0.0234157i | ||||
\(305\) | −22.8925 | + | 13.2170i | −1.31082 | + | 0.756802i | ||||
\(306\) | −0.305357 | + | 4.63814i | −0.0174561 | + | 0.265145i | ||||
\(307\) | − | 9.23124i | − | 0.526854i | −0.964679 | − | 0.263427i | \(-0.915147\pi\) | ||
0.964679 | − | 0.263427i | \(-0.0848529\pi\) | |||||||
\(308\) | 12.3158 | − | 5.29511i | 0.701755 | − | 0.301717i | ||||
\(309\) | 13.4345 | − | 21.5973i | 0.764259 | − | 1.22863i | ||||
\(310\) | −3.95382 | − | 6.84821i | −0.224562 | − | 0.388952i | ||||
\(311\) | 22.9714 | 1.30259 | 0.651294 | − | 0.758826i | \(-0.274227\pi\) | ||||
0.651294 | + | 0.758826i | \(0.274227\pi\) | |||||||
\(312\) | −0.193502 | + | 5.88465i | −0.0109549 | + | 0.333153i | ||||
\(313\) | − | 6.43336i | − | 0.363635i | −0.983332 | − | 0.181818i | \(-0.941802\pi\) | ||
0.983332 | − | 0.181818i | \(-0.0581980\pi\) | |||||||
\(314\) | −12.7707 | −0.720694 | ||||||||
\(315\) | 18.7856 | − | 21.9938i | 1.05845 | − | 1.23921i | ||||
\(316\) | −12.7530 | −0.717414 | ||||||||
\(317\) | − | 8.73533i | − | 0.490625i | −0.969444 | − | 0.245313i | \(-0.921109\pi\) | ||
0.969444 | − | 0.245313i | \(-0.0788906\pi\) | |||||||
\(318\) | 19.5232 | + | 12.1443i | 1.09481 | + | 0.681016i | ||||
\(319\) | −21.1033 | −1.18156 | ||||||||
\(320\) | 1.82207 | + | 3.15592i | 0.101857 | + | 0.176421i | ||||
\(321\) | −5.74595 | − | 0.188941i | −0.320708 | − | 0.0105457i | ||||
\(322\) | 4.46829 | + | 0.527662i | 0.249008 | + | 0.0294054i | ||||
\(323\) | 1.26513i | 0.0703939i | ||||||||
\(324\) | 3.43930 | + | 8.31692i | 0.191072 | + | 0.462051i | ||||
\(325\) | −24.3750 | + | 14.0729i | −1.35208 | + | 0.780624i | ||||
\(326\) | 2.61570 | + | 1.51018i | 0.144870 | + | 0.0836410i | ||||
\(327\) | 4.17207 | + | 2.59520i | 0.230716 | + | 0.143515i | ||||
\(328\) | 1.76117 | + | 1.01681i | 0.0972444 | + | 0.0561441i | ||||
\(329\) | 10.6698 | − | 14.2965i | 0.588245 | − | 0.788189i | ||||
\(330\) | −28.2075 | + | 15.0719i | −1.55277 | + | 0.829682i | ||||
\(331\) | 31.7007 | 1.74243 | 0.871215 | − | 0.490901i | \(-0.163332\pi\) | ||||
0.871215 | + | 0.490901i | \(0.163332\pi\) | |||||||
\(332\) | −0.768040 | − | 1.33028i | −0.0421517 | − | 0.0730088i | ||||
\(333\) | 9.01679 | + | 18.2977i | 0.494117 | + | 1.00271i | ||||
\(334\) | 12.3801 | + | 7.14766i | 0.677410 | + | 0.391103i | ||||
\(335\) | −4.47575 | − | 7.75223i | −0.244536 | − | 0.423549i | ||||
\(336\) | −0.686700 | + | 4.53083i | −0.0374625 | + | 0.247177i | ||||
\(337\) | 16.1308 | − | 27.9393i | 0.878700 | − | 1.52195i | 0.0259314 | − | 0.999664i | \(-0.491745\pi\) |
0.852768 | − | 0.522289i | \(-0.174922\pi\) | |||||||
\(338\) | −1.25097 | + | 0.722247i | −0.0680437 | + | 0.0392851i | ||||
\(339\) | −13.6019 | − | 0.447265i | −0.738756 | − | 0.0242921i | ||||
\(340\) | 2.82310 | − | 4.88976i | 0.153104 | − | 0.265185i | ||||
\(341\) | −5.49750 | + | 9.52196i | −0.297707 | + | 0.515643i | ||||
\(342\) | 1.08279 | + | 2.19730i | 0.0585507 | + | 0.118816i | ||||
\(343\) | 17.3806 | + | 6.39643i | 0.938465 | + | 0.345375i | ||||
\(344\) | −5.30335 | + | 3.06189i | −0.285937 | + | 0.165086i | ||||
\(345\) | −10.7280 | − | 0.352765i | −0.577579 | − | 0.0189922i | ||||
\(346\) | − | 2.19905i | − | 0.118222i | ||||||
\(347\) | 6.82421i | 0.366343i | 0.983081 | + | 0.183171i | \(0.0586363\pi\) | ||||
−0.983081 | + | 0.183171i | \(0.941364\pi\) | |||||||
\(348\) | 3.81029 | − | 6.12546i | 0.204253 | − | 0.328359i | ||||
\(349\) | −4.18379 | + | 2.41551i | −0.223953 | + | 0.129299i | −0.607779 | − | 0.794106i | \(-0.707939\pi\) |
0.383826 | + | 0.923405i | \(0.374606\pi\) | |||||||
\(350\) | −20.1250 | + | 8.65267i | −1.07573 | + | 0.462504i | ||||
\(351\) | 10.2949 | − | 14.3532i | 0.549499 | − | 0.766117i | ||||
\(352\) | 2.53346 | − | 4.38809i | 0.135034 | − | 0.233886i | ||||
\(353\) | −17.2922 | + | 29.9510i | −0.920371 | + | 1.59413i | −0.121529 | + | 0.992588i | \(0.538780\pi\) |
−0.798842 | + | 0.601541i | \(0.794554\pi\) | |||||||
\(354\) | 1.77644 | + | 3.32466i | 0.0944169 | + | 0.176704i | ||||
\(355\) | −21.2795 | + | 12.2857i | −1.12940 | + | 0.652058i | ||||
\(356\) | 6.01679 | − | 10.4214i | 0.318889 | − | 0.552332i | ||||
\(357\) | 6.61152 | − | 2.58860i | 0.349918 | − | 0.137003i | ||||
\(358\) | −5.37349 | − | 9.30715i | −0.283998 | − | 0.491898i | ||||
\(359\) | 23.5112 | + | 13.5742i | 1.24087 | + | 0.716417i | 0.969272 | − | 0.245993i | \(-0.0791140\pi\) |
0.271600 | + | 0.962410i | \(0.412447\pi\) | |||||||
\(360\) | 0.718194 | − | 10.9088i | 0.0378521 | − | 0.574945i | ||||
\(361\) | −9.16664 | − | 15.8771i | −0.482455 | − | 0.835636i | ||||
\(362\) | 14.4710 | 0.760580 | ||||||||
\(363\) | 21.5811 | + | 13.4243i | 1.13271 | + | 0.704595i | ||||
\(364\) | 8.26249 | − | 3.55243i | 0.433072 | − | 0.186198i | ||||
\(365\) | −13.7352 | − | 7.93003i | −0.718934 | − | 0.415077i | ||||
\(366\) | −11.0813 | + | 5.92100i | −0.579229 | + | 0.309496i | ||||
\(367\) | −10.3307 | − | 5.96444i | −0.539259 | − | 0.311341i | 0.205520 | − | 0.978653i | \(-0.434112\pi\) |
−0.744778 | + | 0.667312i | \(0.767445\pi\) | |||||||
\(368\) | 1.47275 | − | 0.850294i | 0.0767725 | − | 0.0443246i | ||||
\(369\) | −2.69675 | − | 5.47250i | −0.140387 | − | 0.284887i | ||||
\(370\) | − | 24.7786i | − | 1.28818i | ||||||
\(371\) | 4.11884 | − | 34.8787i | 0.213840 | − | 1.81081i | ||||
\(372\) | −1.77125 | − | 3.31494i | −0.0918350 | − | 0.171871i | ||||
\(373\) | −4.81925 | − | 8.34718i | −0.249531 | − | 0.432201i | 0.713865 | − | 0.700284i | \(-0.246943\pi\) |
−0.963396 | + | 0.268083i | \(0.913610\pi\) | |||||||
\(374\) | −7.85066 | −0.405948 | ||||||||
\(375\) | 18.2585 | − | 9.75596i | 0.942865 | − | 0.503795i | ||||
\(376\) | − | 6.74255i | − | 0.347720i | ||||||
\(377\) | −14.1580 | −0.729173 | ||||||||
\(378\) | 9.26746 | − | 10.1545i | 0.476666 | − | 0.522292i | ||||
\(379\) | −16.0145 | −0.822612 | −0.411306 | − | 0.911497i | \(-0.634927\pi\) | ||||
−0.411306 | + | 0.911497i | \(0.634927\pi\) | |||||||
\(380\) | − | 2.97557i | − | 0.152643i | ||||||
\(381\) | −26.6237 | + | 14.2257i | −1.36397 | + | 0.728804i | ||||
\(382\) | −8.33194 | −0.426299 | ||||||||
\(383\) | −3.18472 | − | 5.51610i | −0.162732 | − | 0.281860i | 0.773116 | − | 0.634265i | \(-0.218697\pi\) |
−0.935847 | + | 0.352405i | \(0.885364\pi\) | |||||||
\(384\) | 0.816261 | + | 1.52765i | 0.0416546 | + | 0.0779576i | ||||
\(385\) | 39.1512 | + | 29.2195i | 1.99533 | + | 1.48916i | ||||
\(386\) | 9.56786i | 0.486991i | ||||||||
\(387\) | 18.3317 | + | 1.20688i | 0.931850 | + | 0.0613494i | ||||
\(388\) | 5.59509 | − | 3.23033i | 0.284048 | − | 0.163995i | ||||
\(389\) | −15.2013 | − | 8.77645i | −0.770735 | − | 0.444984i | 0.0624020 | − | 0.998051i | \(-0.480124\pi\) |
−0.833137 | + | 0.553067i | \(0.813457\pi\) | |||||||
\(390\) | −18.9241 | + | 10.1116i | −0.958257 | + | 0.512020i | ||||
\(391\) | −2.28187 | − | 1.31744i | −0.115399 | − | 0.0666258i | ||||
\(392\) | 6.71069 | − | 1.99165i | 0.338941 | − | 0.100593i | ||||
\(393\) | 4.75348 | + | 2.95686i | 0.239781 | + | 0.149154i | ||||
\(394\) | −2.37228 | −0.119514 | ||||||||
\(395\) | −23.2369 | − | 40.2476i | −1.16918 | − | 2.02507i | ||||
\(396\) | −13.6351 | + | 6.71916i | −0.685191 | + | 0.337650i | ||||
\(397\) | 11.5693 | + | 6.67955i | 0.580647 | + | 0.335237i | 0.761391 | − | 0.648293i | \(-0.224517\pi\) |
−0.180743 | + | 0.983530i | \(0.557850\pi\) | |||||||
\(398\) | −11.2573 | − | 19.4983i | −0.564279 | − | 0.977360i | ||||
\(399\) | 2.33538 | − | 2.92357i | 0.116915 | − | 0.146362i | ||||
\(400\) | −4.13989 | + | 7.17050i | −0.206995 | + | 0.358525i | ||||
\(401\) | 3.66182 | − | 2.11415i | 0.182863 | − | 0.105576i | −0.405774 | − | 0.913973i | \(-0.632998\pi\) |
0.588637 | + | 0.808398i | \(0.299665\pi\) | |||||||
\(402\) | −2.00507 | − | 3.75253i | −0.100004 | − | 0.187159i | ||||
\(403\) | −3.68821 | + | 6.38817i | −0.183723 | + | 0.318217i | ||||
\(404\) | −5.95045 | + | 10.3065i | −0.296046 | + | 0.512767i | ||||
\(405\) | −19.9809 | + | 26.0082i | −0.992858 | + | 1.29236i | ||||
\(406\) | −10.9433 | − | 1.29230i | −0.543107 | − | 0.0641357i | ||||
\(407\) | −29.8371 | + | 17.2265i | −1.47897 | + | 0.853884i | ||||
\(408\) | 1.41747 | − | 2.27874i | 0.0701752 | − | 0.112814i | ||||
\(409\) | − | 38.4154i | − | 1.89952i | −0.312982 | − | 0.949759i | \(-0.601328\pi\) | ||
0.312982 | − | 0.949759i | \(-0.398672\pi\) | |||||||
\(410\) | 7.41083i | 0.365995i | ||||||||
\(411\) | 25.2432 | + | 0.830057i | 1.24515 | + | 0.0409437i | ||||
\(412\) | −12.7174 | + | 7.34240i | −0.626542 | + | 0.361734i | ||||
\(413\) | 3.44394 | − | 4.61453i | 0.169465 | − | 0.227066i | ||||
\(414\) | −5.09074 | − | 0.335155i | −0.250196 | − | 0.0164720i | ||||
\(415\) | 2.79885 | − | 4.84775i | 0.137390 | − | 0.237967i | ||||
\(416\) | 1.69967 | − | 2.94391i | 0.0833332 | − | 0.144337i | ||||
\(417\) | −9.95089 | − | 0.327210i | −0.487297 | − | 0.0160235i | ||||
\(418\) | −3.58302 | + | 2.06866i | −0.175251 | + | 0.101181i | ||||
\(419\) | 7.03301 | − | 12.1815i | 0.343585 | − | 0.595107i | −0.641511 | − | 0.767114i | \(-0.721692\pi\) |
0.985096 | + | 0.172007i | \(0.0550253\pi\) | |||||||
\(420\) | −15.5502 | + | 6.08833i | −0.758770 | + | 0.297080i | ||||
\(421\) | 10.5504 | + | 18.2738i | 0.514195 | + | 0.890612i | 0.999864 | + | 0.0164691i | \(0.00524252\pi\) |
−0.485670 | + | 0.874143i | \(0.661424\pi\) | |||||||
\(422\) | 12.5957 | + | 7.27211i | 0.613147 | + | 0.354001i | ||||
\(423\) | −11.2428 | + | 16.8154i | −0.546642 | + | 0.817592i | ||||
\(424\) | −6.63726 | − | 11.4961i | −0.322334 | − | 0.558299i | ||||
\(425\) | 12.8286 | 0.622280 | ||||||||
\(426\) | −10.3005 | + | 5.50381i | −0.499062 | + | 0.266661i | ||||
\(427\) | 15.3805 | + | 11.4789i | 0.744316 | + | 0.555501i | ||||
\(428\) | 2.87453 | + | 1.65961i | 0.138946 | + | 0.0802202i | ||||
\(429\) | 25.3321 | + | 15.7576i | 1.22305 | + | 0.760786i | ||||
\(430\) | −19.3262 | − | 11.1580i | −0.931991 | − | 0.538085i | ||||
\(431\) | 10.0928 | − | 5.82709i | 0.486154 | − | 0.280681i | −0.236824 | − | 0.971553i | \(-0.576106\pi\) |
0.722977 | + | 0.690872i | \(0.242773\pi\) | |||||||
\(432\) | 0.511572 | − | 5.17091i | 0.0246130 | − | 0.248785i | ||||
\(433\) | − | 17.9149i | − | 0.860936i | −0.902606 | − | 0.430468i | \(-0.858348\pi\) | ||
0.902606 | − | 0.430468i | \(-0.141652\pi\) | |||||||
\(434\) | −3.43387 | + | 4.60104i | −0.164831 | + | 0.220857i | ||||
\(435\) | 26.2741 | + | 0.863957i | 1.25975 | + | 0.0414236i | ||||
\(436\) | −1.41837 | − | 2.45668i | −0.0679275 | − | 0.117654i | ||||
\(437\) | −1.38859 | −0.0664252 | ||||||||
\(438\) | −6.40091 | − | 3.98163i | −0.305847 | − | 0.190250i | ||||
\(439\) | − | 19.0275i | − | 0.908135i | −0.890967 | − | 0.454068i | \(-0.849972\pi\) | ||
0.890967 | − | 0.454068i | \(-0.150028\pi\) | |||||||
\(440\) | 18.4646 | 0.880266 | ||||||||
\(441\) | −20.0569 | − | 6.22264i | −0.955090 | − | 0.296316i | ||||
\(442\) | −5.26691 | −0.250521 | ||||||||
\(443\) | 7.67734i | 0.364761i | 0.983228 | + | 0.182381i | \(0.0583803\pi\) | ||||
−0.983228 | + | 0.182381i | \(0.941620\pi\) | |||||||
\(444\) | 0.387054 | − | 11.7708i | 0.0183688 | − | 0.558619i | ||||
\(445\) | 43.8521 | 2.07879 | ||||||||
\(446\) | 13.0031 | + | 22.5221i | 0.615716 | + | 1.06645i | ||||
\(447\) | 5.23865 | − | 8.42170i | 0.247780 | − | 0.398333i | ||||
\(448\) | 1.58246 | − | 2.12034i | 0.0747642 | − | 0.100176i | ||||
\(449\) | − | 30.1018i | − | 1.42059i | −0.703903 | − | 0.710296i | \(-0.748561\pi\) | ||
0.703903 | − | 0.710296i | \(-0.251439\pi\) | |||||||
\(450\) | 22.2809 | − | 10.9797i | 1.05033 | − | 0.517587i | ||||
\(451\) | 8.92373 | − | 5.15212i | 0.420202 | − | 0.242604i | ||||
\(452\) | 6.80465 | + | 3.92866i | 0.320064 | + | 0.184789i | ||||
\(453\) | 0.726892 | − | 22.1058i | 0.0341523 | − | 1.03862i | ||||
\(454\) | 19.8129 | + | 11.4390i | 0.929864 | + | 0.536857i | ||||
\(455\) | 26.2660 | + | 19.6030i | 1.23137 | + | 0.919003i | ||||
\(456\) | 0.0464799 | − | 1.41352i | 0.00217662 | − | 0.0661939i | ||||
\(457\) | −39.4876 | −1.84715 | −0.923576 | − | 0.383415i | \(-0.874748\pi\) | ||||
−0.923576 | + | 0.383415i | \(0.874748\pi\) | |||||||
\(458\) | 13.4652 | + | 23.3224i | 0.629186 | + | 1.08978i | ||||
\(459\) | −7.33471 | + | 3.31945i | −0.342355 | + | 0.154939i | ||||
\(460\) | 5.36692 | + | 3.09859i | 0.250234 | + | 0.144473i | ||||
\(461\) | 11.3776 | + | 19.7066i | 0.529909 | + | 0.917830i | 0.999391 | + | 0.0348879i | \(0.0111074\pi\) |
−0.469482 | + | 0.882942i | \(0.655559\pi\) | |||||||
\(462\) | 18.1420 | + | 14.4920i | 0.844040 | + | 0.674229i | ||||
\(463\) | 6.63866 | − | 11.4985i | 0.308525 | − | 0.534381i | −0.669515 | − | 0.742798i | \(-0.733498\pi\) |
0.978040 | + | 0.208418i | \(0.0668314\pi\) | |||||||
\(464\) | −3.60693 | + | 2.08246i | −0.167447 | + | 0.0966757i | ||||
\(465\) | 7.23434 | − | 11.6300i | 0.335484 | − | 0.539327i | ||||
\(466\) | −2.20550 | + | 3.82003i | −0.102168 | + | 0.176960i | ||||
\(467\) | −11.5873 | + | 20.0698i | −0.536195 | + | 0.928717i | 0.462909 | + | 0.886406i | \(0.346806\pi\) |
−0.999104 | + | 0.0423116i | \(0.986528\pi\) | |||||||
\(468\) | −9.14764 | + | 4.50780i | −0.422850 | + | 0.208373i | ||||
\(469\) | −3.88716 | + | 5.20841i | −0.179493 | + | 0.240502i | ||||
\(470\) | 21.2789 | − | 12.2854i | 0.981525 | − | 0.566684i | ||||
\(471\) | −10.4242 | − | 19.5092i | −0.480324 | − | 0.898937i | ||||
\(472\) | − | 2.17632i | − | 0.100173i | ||||||
\(473\) | 31.0287i | 1.42670i | ||||||||
\(474\) | −10.4098 | − | 19.4822i | −0.478138 | − | 0.894846i | ||||
\(475\) | 5.85497 | − | 3.38037i | 0.268644 | − | 0.155102i | ||||
\(476\) | −4.07102 | − | 0.480749i | −0.186595 | − | 0.0220351i | ||||
\(477\) | −2.61616 | + | 39.7375i | −0.119786 | + | 1.81946i | ||||
\(478\) | 9.33343 | − | 16.1660i | 0.426901 | − | 0.739414i | ||||
\(479\) | −12.3567 | + | 21.4025i | −0.564594 | + | 0.977905i | 0.432493 | + | 0.901637i | \(0.357634\pi\) |
−0.997087 | + | 0.0762684i | \(0.975699\pi\) | |||||||
\(480\) | −3.33386 | + | 5.35954i | −0.152169 | + | 0.244629i | ||||
\(481\) | −20.0174 | + | 11.5570i | −0.912713 | + | 0.526955i | ||||
\(482\) | 0.238133 | − | 0.412458i | 0.0108467 | − | 0.0187870i | ||||
\(483\) | 2.84120 | + | 7.25669i | 0.129279 | + | 0.330191i | ||||
\(484\) | −7.33687 | − | 12.7078i | −0.333494 | − | 0.577629i | ||||
\(485\) | 20.3893 | + | 11.7718i | 0.925831 | + | 0.534529i | ||||
\(486\) | −9.89799 | + | 12.0428i | −0.448982 | + | 0.546274i | ||||
\(487\) | 16.9877 | + | 29.4236i | 0.769788 | + | 1.33331i | 0.937678 | + | 0.347506i | \(0.112971\pi\) |
−0.167889 | + | 0.985806i | \(0.553695\pi\) | |||||||
\(488\) | 7.25382 | 0.328365 | ||||||||
\(489\) | −0.171929 | + | 5.22858i | −0.00777488 | + | 0.236445i | ||||
\(490\) | 18.5128 | + | 17.5495i | 0.836325 | + | 0.792805i | ||||
\(491\) | −25.5933 | − | 14.7763i | −1.15501 | − | 0.666845i | −0.204906 | − | 0.978782i | \(-0.565689\pi\) |
−0.950103 | + | 0.311937i | \(0.899022\pi\) | |||||||
\(492\) | −0.115761 | + | 3.52044i | −0.00521890 | + | 0.158714i | ||||
\(493\) | 5.58854 | + | 3.22655i | 0.251695 | + | 0.145316i | ||||
\(494\) | −2.40381 | + | 1.38784i | −0.108152 | + | 0.0624418i | ||||
\(495\) | −46.0493 | − | 30.7886i | −2.06976 | − | 1.38384i | ||||
\(496\) | 2.16996i | 0.0974339i | ||||||||
\(497\) | 14.2968 | + | 10.6701i | 0.641300 | + | 0.478618i | ||||
\(498\) | 1.40529 | − | 2.25916i | 0.0629726 | − | 0.101235i | ||||
\(499\) | 5.38644 | + | 9.32959i | 0.241130 | + | 0.417650i | 0.961037 | − | 0.276421i | \(-0.0891486\pi\) |
−0.719906 | + | 0.694071i | \(0.755815\pi\) | |||||||
\(500\) | −11.9520 | −0.534510 | ||||||||
\(501\) | −0.813737 | + | 24.7468i | −0.0363551 | + | 1.10561i | ||||
\(502\) | 17.6939i | 0.789718i | ||||||||
\(503\) | 20.2016 | 0.900743 | 0.450372 | − | 0.892841i | \(-0.351292\pi\) | ||||
0.450372 | + | 0.892841i | \(0.351292\pi\) | |||||||
\(504\) | −7.48206 | + | 2.64930i | −0.333277 | + | 0.118009i | ||||
\(505\) | −43.3686 | −1.92988 | ||||||||
\(506\) | − | 8.61675i | − | 0.383061i | ||||||
\(507\) | −2.12446 | − | 1.32150i | −0.0943505 | − | 0.0586900i | ||||
\(508\) | 17.4279 | 0.773237 | ||||||||
\(509\) | −0.529272 | − | 0.916725i | −0.0234595 | − | 0.0406331i | 0.854057 | − | 0.520179i | \(-0.174135\pi\) |
−0.877517 | + | 0.479546i | \(0.840801\pi\) | |||||||
\(510\) | 9.77424 | + | 0.321401i | 0.432811 | + | 0.0142319i | ||||
\(511\) | −1.35041 | + | 11.4354i | −0.0597387 | + | 0.505872i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −2.47287 | + | 3.44770i | −0.109180 | + | 0.152220i | ||||
\(514\) | −20.0867 | + | 11.5971i | −0.885987 | + | 0.511525i | ||||
\(515\) | −46.3441 | − | 26.7568i | −2.04216 | − | 1.17904i | ||||
\(516\) | −9.00642 | − | 5.60237i | −0.396485 | − | 0.246631i | ||||
\(517\) | −29.5869 | − | 17.0820i | −1.30123 | − | 0.751265i | ||||
\(518\) | −16.5272 | + | 7.10579i | −0.726162 | + | 0.312210i | ||||
\(519\) | 3.35939 | − | 1.79500i | 0.147461 | − | 0.0787918i | ||||
\(520\) | 12.3877 | 0.543236 | ||||||||
\(521\) | 5.05068 | + | 8.74804i | 0.221275 | + | 0.383259i | 0.955195 | − | 0.295976i | \(-0.0956450\pi\) |
−0.733921 | + | 0.679235i | \(0.762312\pi\) | |||||||
\(522\) | 12.4678 | + | 0.820829i | 0.545699 | + | 0.0359267i | ||||
\(523\) | −8.02992 | − | 4.63608i | −0.351124 | − | 0.202722i | 0.314056 | − | 0.949404i | \(-0.398312\pi\) |
−0.665180 | + | 0.746683i | \(0.731645\pi\) | |||||||
\(524\) | −1.61603 | − | 2.79904i | −0.0705965 | − | 0.122277i | ||||
\(525\) | −29.6455 | − | 23.6811i | −1.29384 | − | 1.03353i | ||||
\(526\) | 1.72193 | − | 2.98247i | 0.0750797 | − | 0.130042i | ||||
\(527\) | 2.91168 | − | 1.68106i | 0.126835 | − | 0.0732280i | ||||
\(528\) | 8.77143 | + | 0.288426i | 0.381728 | + | 0.0125521i | ||||
\(529\) | −10.0540 | + | 17.4140i | −0.437130 | + | 0.757132i | ||||
\(530\) | 24.1871 | − | 41.8933i | 1.05062 | − | 1.81973i | ||||
\(531\) | −3.62888 | + | 5.42757i | −0.157480 | + | 0.235537i | ||||
\(532\) | −1.98468 | + | 0.853307i | −0.0860469 | + | 0.0369956i | ||||
\(533\) | 5.98682 | − | 3.45649i | 0.259318 | − | 0.149717i | ||||
\(534\) | 20.8315 | + | 0.684991i | 0.901468 | + | 0.0296425i | ||||
\(535\) | 12.0957i | 0.522943i | ||||||||
\(536\) | 2.45641i | 0.106101i | ||||||||
\(537\) | 9.83192 | − | 15.8059i | 0.424278 | − | 0.682074i | ||||
\(538\) | −6.94015 | + | 4.00690i | −0.299211 | + | 0.172750i | ||||
\(539\) | 8.26177 | − | 34.4928i | 0.355859 | − | 1.48571i | ||||
\(540\) | 17.2511 | − | 7.80729i | 0.742369 | − | 0.335972i | ||||
\(541\) | −2.87498 | + | 4.97960i | −0.123605 | + | 0.214090i | −0.921187 | − | 0.389121i | \(-0.872779\pi\) |
0.797582 | + | 0.603211i | \(0.206112\pi\) | |||||||
\(542\) | −0.895442 | + | 1.55095i | −0.0384625 | + | 0.0666191i | ||||
\(543\) | 11.8121 | + | 22.1067i | 0.506907 | + | 0.948689i | ||||
\(544\) | −1.34181 | + | 0.774696i | −0.0575298 | + | 0.0332148i | ||||
\(545\) | 5.16874 | − | 8.95251i | 0.221404 | − | 0.383484i | ||||
\(546\) | 12.1712 | + | 9.72250i | 0.520880 | + | 0.416085i | ||||
\(547\) | 18.3094 | + | 31.7128i | 0.782853 | + | 1.35594i | 0.930273 | + | 0.366867i | \(0.119570\pi\) |
−0.147421 | + | 0.989074i | \(0.547097\pi\) | |||||||
\(548\) | −12.6284 | − | 7.29101i | −0.539459 | − | 0.311457i | ||||
\(549\) | −18.0905 | − | 12.0953i | −0.772082 | − | 0.516214i | ||||
\(550\) | 20.9765 | + | 36.3324i | 0.894442 | + | 1.54922i | ||||
\(551\) | 3.40080 | 0.144879 | ||||||||
\(552\) | 2.50110 | + | 1.55579i | 0.106454 | + | 0.0662189i | ||||
\(553\) | −20.1811 | + | 27.0407i | −0.858190 | + | 1.14989i | ||||
\(554\) | −21.2986 | − | 12.2968i | −0.904892 | − | 0.522440i | ||||
\(555\) | 37.8531 | − | 20.2258i | 1.60677 | − | 0.858538i | ||||
\(556\) | 4.97814 | + | 2.87413i | 0.211120 | + | 0.121890i | ||||
\(557\) | −0.323902 | + | 0.187005i | −0.0137242 | + | 0.00792365i | −0.506846 | − | 0.862036i | \(-0.669189\pi\) |
0.493122 | + | 0.869960i | \(0.335856\pi\) | |||||||
\(558\) | 3.61827 | − | 5.41170i | 0.153173 | − | 0.229096i | ||||
\(559\) | 20.8168i | 0.880457i | ||||||||
\(560\) | 9.57497 | + | 1.13071i | 0.404616 | + | 0.0477813i | ||||
\(561\) | −6.40818 | − | 11.9931i | −0.270554 | − | 0.506348i | ||||
\(562\) | −10.7539 | − | 18.6262i | −0.453624 | − | 0.785700i | ||||
\(563\) | −4.37923 | −0.184562 | −0.0922812 | − | 0.995733i | \(-0.529416\pi\) | ||||
−0.0922812 | + | 0.995733i | \(0.529416\pi\) | |||||||
\(564\) | 10.3003 | − | 5.50368i | 0.433719 | − | 0.231747i | ||||
\(565\) | 28.6332i | 1.20461i | ||||||||
\(566\) | 19.9480 | 0.838478 | ||||||||
\(567\) | 23.0772 | + | 5.86871i | 0.969152 | + | 0.246463i | ||||
\(568\) | 6.74272 | 0.282918 | ||||||||
\(569\) | 36.8641i | 1.54542i | 0.634757 | + | 0.772712i | \(0.281100\pi\) | ||||
−0.634757 | + | 0.772712i | \(0.718900\pi\) | |||||||
\(570\) | 4.54563 | − | 2.42884i | 0.190396 | − | 0.101733i | ||||
\(571\) | 31.6595 | 1.32491 | 0.662454 | − | 0.749103i | \(-0.269515\pi\) | ||||
0.662454 | + | 0.749103i | \(0.269515\pi\) | |||||||
\(572\) | −8.61210 | − | 14.9166i | −0.360090 | − | 0.623694i | ||||
\(573\) | −6.80104 | − | 12.7283i | −0.284117 | − | 0.531732i | ||||
\(574\) | 4.94297 | − | 2.12521i | 0.206315 | − | 0.0887045i | ||||
\(575\) | 14.0805i | 0.587198i | ||||||||
\(576\) | −1.66744 | + | 2.49392i | −0.0694766 | + | 0.103913i | ||||
\(577\) | 12.2923 | − | 7.09699i | 0.511737 | − | 0.295452i | −0.221810 | − | 0.975090i | \(-0.571197\pi\) |
0.733547 | + | 0.679638i | \(0.237863\pi\) | |||||||
\(578\) | −12.6434 | − | 7.29969i | −0.525898 | − | 0.303627i | ||||
\(579\) | −14.6164 | + | 7.80987i | −0.607435 | + | 0.324567i | ||||
\(580\) | −13.1442 | − | 7.58878i | −0.545781 | − | 0.315107i | ||||
\(581\) | −4.03604 | − | 0.476618i | −0.167443 | − | 0.0197734i | ||||
\(582\) | 9.50186 | + | 5.91056i | 0.393865 | + | 0.245001i | ||||
\(583\) | −67.2610 | −2.78567 | ||||||||
\(584\) | 2.17610 | + | 3.76912i | 0.0900478 | + | 0.155967i | ||||
\(585\) | −30.8939 | − | 20.6557i | −1.27731 | − | 0.854007i | ||||
\(586\) | 2.15911 | + | 1.24656i | 0.0891921 | + | 0.0514951i | ||||
\(587\) | −2.32227 | − | 4.02230i | −0.0958505 | − | 0.166018i | 0.814113 | − | 0.580707i | \(-0.197224\pi\) |
−0.909963 | + | 0.414689i | \(0.863890\pi\) | |||||||
\(588\) | 8.52021 | + | 8.62589i | 0.351368 | + | 0.355726i | ||||
\(589\) | 0.885922 | − | 1.53446i | 0.0365038 | − | 0.0632264i | ||||
\(590\) | 6.86829 | − | 3.96541i | 0.282763 | − | 0.163253i | ||||
\(591\) | −1.93640 | − | 3.62402i | −0.0796528 | − | 0.149072i | ||||
\(592\) | −3.39979 | + | 5.88860i | −0.139730 | + | 0.242020i | ||||
\(593\) | 11.5215 | − | 19.9558i | 0.473132 | − | 0.819488i | −0.526395 | − | 0.850240i | \(-0.676457\pi\) |
0.999527 | + | 0.0307518i | \(0.00979014\pi\) | |||||||
\(594\) | −21.3943 | − | 15.3451i | −0.877821 | − | 0.629618i | ||||
\(595\) | −5.90049 | − | 13.7238i | −0.241896 | − | 0.562620i | ||||
\(596\) | −4.95904 | + | 2.86310i | −0.203130 | + | 0.117277i | ||||
\(597\) | 20.5977 | − | 33.1130i | 0.843006 | − | 1.35522i | ||||
\(598\) | − | 5.78088i | − | 0.236398i | ||||||
\(599\) | − | 28.9622i | − | 1.18336i | −0.806171 | − | 0.591682i | \(-0.798464\pi\) | ||
0.806171 | − | 0.591682i | \(-0.201536\pi\) | |||||||
\(600\) | −14.3333 | − | 0.471313i | −0.585153 | − | 0.0192413i | ||||
\(601\) | 5.04993 | − | 2.91558i | 0.205991 | − | 0.118929i | −0.393456 | − | 0.919344i | \(-0.628721\pi\) |
0.599447 | + | 0.800414i | \(0.295387\pi\) | |||||||
\(602\) | −1.90010 | + | 16.0902i | −0.0774422 | + | 0.655787i | ||||
\(603\) | 4.09591 | − | 6.12609i | 0.166798 | − | 0.249474i | ||||
\(604\) | −6.38483 | + | 11.0589i | −0.259795 | + | 0.449978i | ||||
\(605\) | 26.7366 | − | 46.3092i | 1.08700 | − | 1.88273i | ||||
\(606\) | −20.6018 | − | 0.677439i | −0.836892 | − | 0.0275191i | ||||
\(607\) | 16.3750 | − | 9.45411i | 0.664641 | − | 0.383731i | −0.129402 | − | 0.991592i | \(-0.541306\pi\) |
0.794043 | + | 0.607862i | \(0.207972\pi\) | |||||||
\(608\) | −0.408267 | + | 0.707140i | −0.0165574 | + | 0.0286783i | ||||
\(609\) | −6.95840 | − | 17.7724i | −0.281969 | − | 0.720174i | ||||
\(610\) | 13.2170 | + | 22.8925i | 0.535140 | + | 0.926889i | ||||
\(611\) | −19.8495 | − | 11.4601i | −0.803024 | − | 0.463626i | ||||
\(612\) | 4.63814 | + | 0.305357i | 0.187486 | + | 0.0123433i | ||||
\(613\) | −16.5880 | − | 28.7313i | −0.669984 | − | 1.16045i | −0.977908 | − | 0.209036i | \(-0.932967\pi\) |
0.307924 | − | 0.951411i | \(-0.400366\pi\) | |||||||
\(614\) | −9.23124 | −0.372542 | ||||||||
\(615\) | −11.3212 | + | 6.04916i | −0.456513 | + | 0.243926i | ||||
\(616\) | −5.29511 | − | 12.3158i | −0.213346 | − | 0.496216i | ||||
\(617\) | 34.0222 | + | 19.6427i | 1.36968 | + | 0.790786i | 0.990887 | − | 0.134695i | \(-0.0430054\pi\) |
0.378794 | + | 0.925481i | \(0.376339\pi\) | |||||||
\(618\) | −21.5973 | − | 13.4345i | −0.868773 | − | 0.540413i | ||||
\(619\) | −8.46727 | − | 4.88858i | −0.340329 | − | 0.196489i | 0.320089 | − | 0.947388i | \(-0.396287\pi\) |
−0.660417 | + | 0.750899i | \(0.729621\pi\) | |||||||
\(620\) | −6.84821 | + | 3.95382i | −0.275031 | + | 0.158789i | ||||
\(621\) | −3.64337 | − | 8.05046i | −0.146204 | − | 0.323054i | ||||
\(622\) | − | 22.9714i | − | 0.921069i | ||||||
\(623\) | −12.5755 | − | 29.2490i | −0.503827 | − | 1.17184i | ||||
\(624\) | 5.88465 | + | 0.193502i | 0.235574 | + | 0.00774627i | ||||
\(625\) | −1.07796 | − | 1.86708i | −0.0431185 | − | 0.0746834i | ||||
\(626\) | −6.43336 | −0.257129 | ||||||||
\(627\) | −6.08487 | − | 3.78505i | −0.243006 | − | 0.151160i | ||||
\(628\) | 12.7707i | 0.509607i | ||||||||
\(629\) | 10.5352 | 0.420066 | ||||||||
\(630\) | −21.9938 | − | 18.7856i | −0.876256 | − | 0.748435i | ||||
\(631\) | 11.6364 | 0.463237 | 0.231618 | − | 0.972807i | \(-0.425598\pi\) | ||||
0.231618 | + | 0.972807i | \(0.425598\pi\) | |||||||
\(632\) | 12.7530i | 0.507288i | ||||||||
\(633\) | −0.827905 | + | 25.1777i | −0.0329063 | + | 1.00072i | ||||
\(634\) | −8.73533 | −0.346924 | ||||||||
\(635\) | 31.7549 | + | 55.0010i | 1.26015 | + | 2.18265i | ||||
\(636\) | 12.1443 | − | 19.5232i | 0.481551 | − | 0.774146i | ||||
\(637\) | 5.54272 | − | 23.1408i | 0.219610 | − | 0.916873i | ||||
\(638\) | 21.1033i | 0.835489i | ||||||||
\(639\) | −16.8158 | − | 11.2431i | −0.665223 | − | 0.444768i | ||||
\(640\) | 3.15592 | − | 1.82207i | 0.124749 | − | 0.0720237i | ||||
\(641\) | 25.2233 | + | 14.5627i | 0.996262 | + | 0.575192i | 0.907140 | − | 0.420828i | \(-0.138261\pi\) |
0.0891220 | + | 0.996021i | \(0.471594\pi\) | |||||||
\(642\) | −0.188941 | + | 5.74595i | −0.00745690 | + | 0.226775i | ||||
\(643\) | 33.9410 | + | 19.5959i | 1.33850 | + | 0.772785i | 0.986585 | − | 0.163245i | \(-0.0521962\pi\) |
0.351918 | + | 0.936031i | \(0.385530\pi\) | |||||||
\(644\) | 0.527662 | − | 4.46829i | 0.0207928 | − | 0.176075i | ||||
\(645\) | 1.27030 | − | 38.6315i | 0.0500179 | − | 1.52111i | ||||
\(646\) | 1.26513 | 0.0497760 | ||||||||
\(647\) | 10.1800 | + | 17.6323i | 0.400218 | + | 0.693199i | 0.993752 | − | 0.111610i | \(-0.0356009\pi\) |
−0.593534 | + | 0.804809i | \(0.702268\pi\) | |||||||
\(648\) | 8.31692 | − | 3.43930i | 0.326720 | − | 0.135109i | ||||
\(649\) | −9.54988 | − | 5.51362i | −0.374865 | − | 0.216429i | ||||
\(650\) | 14.0729 | + | 24.3750i | 0.551985 | + | 0.956065i | ||||
\(651\) | −9.83171 | − | 1.49011i | −0.385335 | − | 0.0584019i | ||||
\(652\) | 1.51018 | − | 2.61570i | 0.0591431 | − | 0.102439i | ||||
\(653\) | −13.1105 | + | 7.56933i | −0.513052 | + | 0.296211i | −0.734087 | − | 0.679055i | \(-0.762390\pi\) |
0.221035 | + | 0.975266i | \(0.429056\pi\) | |||||||
\(654\) | 2.59520 | − | 4.17207i | 0.101480 | − | 0.163141i | ||||
\(655\) | 5.88904 | − | 10.2001i | 0.230104 | − | 0.398552i | ||||
\(656\) | 1.01681 | − | 1.76117i | 0.0396999 | − | 0.0687622i | ||||
\(657\) | 0.857740 | − | 13.0284i | 0.0334636 | − | 0.508287i | ||||
\(658\) | −14.2965 | − | 10.6698i | −0.557334 | − | 0.415952i | ||||
\(659\) | −9.17413 | + | 5.29668i | −0.357373 | + | 0.206330i | −0.667928 | − | 0.744226i | \(-0.732819\pi\) |
0.310555 | + | 0.950556i | \(0.399485\pi\) | |||||||
\(660\) | 15.0719 | + | 28.2075i | 0.586674 | + | 1.09797i | ||||
\(661\) | 17.0415i | 0.662836i | 0.943484 | + | 0.331418i | \(0.107527\pi\) | ||||
−0.943484 | + | 0.331418i | \(0.892473\pi\) | |||||||
\(662\) | − | 31.7007i | − | 1.23208i | ||||||
\(663\) | −4.29917 | − | 8.04600i | −0.166966 | − | 0.312481i | ||||
\(664\) | −1.33028 | + | 0.768040i | −0.0516251 | + | 0.0298057i | ||||
\(665\) | −6.30921 | − | 4.70872i | −0.244661 | − | 0.182596i | ||||
\(666\) | 18.2977 | − | 9.01679i | 0.709021 | − | 0.349393i | ||||
\(667\) | −3.54141 | + | 6.13389i | −0.137124 | + | 0.237505i | ||||
\(668\) | 7.14766 | − | 12.3801i | 0.276551 | − | 0.479001i | ||||
\(669\) | −23.7919 | + | 38.2481i | −0.919849 | + | 1.47876i | ||||
\(670\) | −7.75223 | + | 4.47575i | −0.299495 | + | 0.172913i | ||||
\(671\) | 18.3773 | − | 31.8304i | 0.709447 | − | 1.22880i | ||||
\(672\) | 4.53083 | + | 0.686700i | 0.174781 | + | 0.0264900i | ||||
\(673\) | −12.5048 | − | 21.6590i | −0.482025 | − | 0.834891i | 0.517762 | − | 0.855524i | \(-0.326765\pi\) |
−0.999787 | + | 0.0206331i | \(0.993432\pi\) | |||||||
\(674\) | −27.9393 | − | 16.1308i | −1.07618 | − | 0.621335i | ||||
\(675\) | 34.9602 | + | 25.0752i | 1.34562 | + | 0.965146i | ||||
\(676\) | 0.722247 | + | 1.25097i | 0.0277787 | + | 0.0481142i | ||||
\(677\) | 39.7068 | 1.52606 | 0.763028 | − | 0.646365i | \(-0.223712\pi\) | ||||
0.763028 | + | 0.646365i | \(0.223712\pi\) | |||||||
\(678\) | −0.447265 | + | 13.6019i | −0.0171771 | + | 0.522379i | ||||
\(679\) | 2.00462 | − | 16.9753i | 0.0769304 | − | 0.651453i | ||||
\(680\) | −4.88976 | − | 2.82310i | −0.187514 | − | 0.108261i | ||||
\(681\) | −1.30229 | + | 39.6043i | −0.0499038 | + | 1.51764i | ||||
\(682\) | 9.52196 | + | 5.49750i | 0.364615 | + | 0.210510i | ||||
\(683\) | 2.31868 | − | 1.33869i | 0.0887218 | − | 0.0512236i | −0.454983 | − | 0.890500i | \(-0.650355\pi\) |
0.543705 | + | 0.839277i | \(0.317021\pi\) | |||||||
\(684\) | 2.19730 | − | 1.08279i | 0.0840158 | − | 0.0414016i | ||||
\(685\) | − | 53.1390i | − | 2.03034i | ||||||
\(686\) | 6.39643 | − | 17.3806i | 0.244217 | − | 0.663595i | ||||
\(687\) | −24.6373 | + | 39.6072i | −0.939973 | + | 1.51111i | ||||
\(688\) | 3.06189 | + | 5.30335i | 0.116733 | + | 0.202188i | ||||
\(689\) | −45.1246 | −1.71911 | ||||||||
\(690\) | −0.352765 | + | 10.7280i | −0.0134295 | + | 0.408410i | ||||
\(691\) | 19.2080i | 0.730706i | 0.930869 | + | 0.365353i | \(0.119052\pi\) | ||||
−0.930869 | + | 0.365353i | \(0.880948\pi\) | |||||||
\(692\) | −2.19905 | −0.0835954 | ||||||||
\(693\) | −7.33015 | + | 39.5438i | −0.278449 | + | 1.50215i | ||||
\(694\) | 6.82421 | 0.259043 | ||||||||
\(695\) | 20.9475i | 0.794583i | ||||||||
\(696\) | −6.12546 | − | 3.81029i | −0.232185 | − | 0.144429i | ||||
\(697\) | −3.15088 | −0.119348 | ||||||||
\(698\) | 2.41551 | + | 4.18379i | 0.0914284 | + | 0.158359i | ||||
\(699\) | −7.63594 | − | 0.251088i | −0.288818 | − | 0.00949704i | ||||
\(700\) | 8.65267 | + | 20.1250i | 0.327040 | + | 0.760653i | ||||
\(701\) | 34.1916i | 1.29140i | 0.763591 | + | 0.645700i | \(0.223434\pi\) | ||||
−0.763591 | + | 0.645700i | \(0.776566\pi\) | |||||||
\(702\) | −14.3532 | − | 10.2949i | −0.541727 | − | 0.388554i | ||||
\(703\) | 4.80825 | − | 2.77604i | 0.181346 | − | 0.104700i | ||||
\(704\) | −4.38809 | − | 2.53346i | −0.165382 | − | 0.0954835i | ||||
\(705\) | 36.1370 | + | 22.4787i | 1.36100 | + | 0.846598i | ||||
\(706\) | 29.9510 | + | 17.2922i | 1.12722 | + | 0.650800i | ||||
\(707\) | 12.4369 | + | 28.9265i | 0.467736 | + | 1.08789i | ||||
\(708\) | 3.32466 | − | 1.77644i | 0.124948 | − | 0.0667628i | ||||
\(709\) | −23.4568 | −0.880937 | −0.440468 | − | 0.897768i | \(-0.645188\pi\) | ||||
−0.440468 | + | 0.897768i | \(0.645188\pi\) | |||||||
\(710\) | 12.2857 | + | 21.2795i | 0.461075 | + | 0.798605i | ||||
\(711\) | 21.2649 | − | 31.8051i | 0.797495 | − | 1.19278i | ||||
\(712\) | −10.4214 | − | 6.01679i | −0.390558 | − | 0.225489i | ||||
\(713\) | 1.84510 | + | 3.19581i | 0.0690996 | + | 0.119684i | ||||
\(714\) | −2.58860 | − | 6.61152i | −0.0968758 | − | 0.247430i | ||||
\(715\) | 31.3837 | − | 54.3582i | 1.17368 | − | 2.03288i | ||||
\(716\) | −9.30715 | + | 5.37349i | −0.347825 | + | 0.200817i | ||||
\(717\) | 32.3145 | + | 1.06258i | 1.20681 | + | 0.0396828i | ||||
\(718\) | 13.5742 | − | 23.5112i | 0.506584 | − | 0.877429i | ||||
\(719\) | −7.98801 | + | 13.8356i | −0.297902 | + | 0.515982i | −0.975656 | − | 0.219307i | \(-0.929620\pi\) |
0.677753 | + | 0.735289i | \(0.262954\pi\) | |||||||
\(720\) | −10.9088 | − | 0.718194i | −0.406548 | − | 0.0267655i | ||||
\(721\) | −4.55643 | + | 38.5842i | −0.169690 | + | 1.43695i | ||||
\(722\) | −15.8771 | + | 9.16664i | −0.590884 | + | 0.341147i | ||||
\(723\) | 0.824471 | + | 0.0271106i | 0.0306624 | + | 0.00100826i | ||||
\(724\) | − | 14.4710i | − | 0.537811i | ||||||
\(725\) | − | 34.4846i | − | 1.28073i | ||||||
\(726\) | 13.4243 | − | 21.5811i | 0.498224 | − | 0.800949i | ||||
\(727\) | 21.6787 | − | 12.5162i | 0.804019 | − | 0.464201i | −0.0408555 | − | 0.999165i | \(-0.513008\pi\) |
0.844875 | + | 0.534964i | \(0.179675\pi\) | |||||||
\(728\) | −3.55243 | − | 8.26249i | −0.131662 | − | 0.306228i | ||||
\(729\) | −26.4766 | − | 5.29058i | −0.980614 | − | 0.195948i | ||||
\(730\) | −7.93003 | + | 13.7352i | −0.293504 | + | 0.508363i | ||||
\(731\) | 4.74407 | − | 8.21697i | 0.175466 | − | 0.303916i | ||||
\(732\) | 5.92100 | + | 11.0813i | 0.218847 | + | 0.409577i | ||||
\(733\) | 10.1433 | − | 5.85625i | 0.374652 | − | 0.216305i | −0.300837 | − | 0.953676i | \(-0.597266\pi\) |
0.675489 | + | 0.737370i | \(0.263933\pi\) | |||||||
\(734\) | −5.96444 | + | 10.3307i | −0.220151 | + | 0.381313i | ||||
\(735\) | −11.6982 | + | 42.6061i | −0.431494 | + | 1.57155i | ||||
\(736\) | −0.850294 | − | 1.47275i | −0.0313423 | − | 0.0542864i | ||||
\(737\) | 10.7789 | + | 6.22322i | 0.397047 | + | 0.229235i | ||||
\(738\) | −5.47250 | + | 2.69675i | −0.201445 | + | 0.0992689i | ||||
\(739\) | −8.20255 | − | 14.2072i | −0.301736 | − | 0.522622i | 0.674793 | − | 0.738007i | \(-0.264233\pi\) |
−0.976529 | + | 0.215385i | \(0.930899\pi\) | |||||||
\(740\) | −24.7786 | −0.910880 | ||||||||
\(741\) | −4.08227 | − | 2.53934i | −0.149966 | − | 0.0932850i | ||||
\(742\) | −34.8787 | − | 4.11884i | −1.28044 | − | 0.151208i | ||||
\(743\) | 8.02860 | + | 4.63532i | 0.294541 | + | 0.170053i | 0.639988 | − | 0.768385i | \(-0.278939\pi\) |
−0.345447 | + | 0.938438i | \(0.612273\pi\) | |||||||
\(744\) | −3.31494 | + | 1.77125i | −0.121531 | + | 0.0649372i | ||||
\(745\) | −18.0715 | − | 10.4336i | −0.662087 | − | 0.382256i | ||||
\(746\) | −8.34718 | + | 4.81925i | −0.305612 | + | 0.176445i | ||||
\(747\) | 4.59829 | + | 0.302733i | 0.168242 | + | 0.0110764i | ||||
\(748\) | 7.85066i | 0.287048i | ||||||||
\(749\) | 8.06775 | − | 3.46870i | 0.294789 | − | 0.126744i | ||||
\(750\) | −9.75596 | − | 18.2585i | −0.356237 | − | 0.666706i | ||||
\(751\) | −10.0756 | − | 17.4515i | −0.367665 | − | 0.636815i | 0.621535 | − | 0.783386i | \(-0.286509\pi\) |
−0.989200 | + | 0.146572i | \(0.953176\pi\) | |||||||
\(752\) | −6.74255 | −0.245875 | ||||||||
\(753\) | −27.0301 | + | 14.4428i | −0.985032 | + | 0.526326i | ||||
\(754\) | 14.1580i | 0.515603i | ||||||||
\(755\) | −46.5345 | −1.69356 | ||||||||
\(756\) | −10.1545 | − | 9.26746i | −0.369316 | − | 0.337054i | ||||
\(757\) | 47.4297 | 1.72386 | 0.861932 | − | 0.507024i | \(-0.169255\pi\) | ||||
0.861932 | + | 0.507024i | \(0.169255\pi\) | |||||||
\(758\) | 16.0145i | 0.581675i | ||||||||
\(759\) | 13.1634 | − | 7.03352i | 0.477801 | − | 0.255300i | ||||
\(760\) | −2.97557 | −0.107935 | ||||||||
\(761\) | −24.0809 | − | 41.7094i | −0.872933 | − | 1.51196i | −0.858948 | − | 0.512063i | \(-0.828882\pi\) |
−0.0139853 | − | 0.999902i | \(-0.504452\pi\) | |||||||
\(762\) | 14.2257 | + | 26.6237i | 0.515342 | + | 0.964476i | ||||
\(763\) | −7.45350 | − | 0.880188i | −0.269835 | − | 0.0318649i | ||||
\(764\) | 8.33194i | 0.301439i | ||||||||
\(765\) | 7.48734 | + | 15.1940i | 0.270705 | + | 0.549339i | ||||
\(766\) | −5.51610 | + | 3.18472i | −0.199305 | + | 0.115069i | ||||
\(767\) | −6.40690 | − | 3.69902i | −0.231340 | − | 0.133564i | ||||
\(768\) | 1.52765 | − | 0.816261i | 0.0551244 | − | 0.0294543i | ||||
\(769\) | 9.84984 | + | 5.68681i | 0.355194 | + | 0.205071i | 0.666971 | − | 0.745084i | \(-0.267591\pi\) |
−0.311776 | + | 0.950155i | \(0.600924\pi\) | |||||||
\(770\) | 29.2195 | − | 39.1512i | 1.05300 | − | 1.41091i | ||||
\(771\) | −34.1123 | − | 21.2193i | −1.22852 | − | 0.764193i | ||||
\(772\) | 9.56786 | 0.344355 | ||||||||
\(773\) | 2.13778 | + | 3.70275i | 0.0768906 | + | 0.133179i | 0.901907 | − | 0.431931i | \(-0.142167\pi\) |
−0.825016 | + | 0.565109i | \(0.808834\pi\) | |||||||
\(774\) | 1.20688 | − | 18.3317i | 0.0433806 | − | 0.658918i | ||||
\(775\) | −15.5597 | − | 8.98339i | −0.558920 | − | 0.322693i | ||||
\(776\) | −3.23033 | − | 5.59509i | −0.115962 | − | 0.200852i | ||||
\(777\) | −24.3456 | − | 19.4476i | −0.873395 | − | 0.697677i | ||||
\(778\) | −8.77645 | + | 15.2013i | −0.314651 | + | 0.544992i | ||||
\(779\) | −1.43806 | + | 0.830263i | −0.0515238 | + | 0.0297473i | ||||
\(780\) | 10.1116 | + | 18.9241i | 0.362052 | + | 0.677590i | ||||
\(781\) | 17.0824 | − | 29.5876i | 0.611257 | − | 1.05873i | ||||
\(782\) | −1.31744 | + | 2.28187i | −0.0471115 | + | 0.0815996i | ||||
\(783\) | 8.92300 | + | 19.7164i | 0.318882 | + | 0.704607i | ||||
\(784\) | −1.99165 | − | 6.71069i | −0.0711302 | − | 0.239667i | ||||
\(785\) | −40.3034 | + | 23.2692i | −1.43849 | + | 0.830513i | ||||
\(786\) | 2.95686 | − | 4.75348i | 0.105468 | − | 0.169551i | ||||
\(787\) | 26.4016i | 0.941115i | 0.882369 | + | 0.470557i | \(0.155947\pi\) | ||||
−0.882369 | + | 0.470557i | \(0.844053\pi\) | |||||||
\(788\) | 2.37228i | 0.0845089i | ||||||||
\(789\) | 5.96172 | + | 0.196036i | 0.212243 | + | 0.00697906i | ||||
\(790\) | −40.2476 | + | 23.2369i | −1.43194 | + | 0.826733i | ||||
\(791\) | 19.0982 | − | 8.21118i | 0.679053 | − | 0.291956i | ||||
\(792\) | 6.71916 | + | 13.6351i | 0.238755 | + | 0.484503i | ||||
\(793\) | 12.3291 | − | 21.3546i | 0.437819 | − | 0.758324i | ||||
\(794\) | 6.67955 | − | 11.5693i | 0.237048 | − | 0.410580i | ||||
\(795\) | 83.7414 | + | 2.75362i | 2.97000 | + | 0.0976610i | ||||
\(796\) | −19.4983 | + | 11.2573i | −0.691098 | + | 0.399006i | ||||
\(797\) | −26.7253 | + | 46.2896i | −0.946660 | + | 1.63966i | −0.194267 | + | 0.980949i | \(0.562233\pi\) |
−0.752393 | + | 0.658715i | \(0.771100\pi\) | |||||||
\(798\) | −2.92357 | − | 2.33538i | −0.103493 | − | 0.0826717i | ||||
\(799\) | 5.22343 | + | 9.04724i | 0.184792 | + | 0.320068i | ||||
\(800\) | 7.17050 | + | 4.13989i | 0.253516 | + | 0.146367i | ||||
\(801\) | 15.9575 | + | 32.3824i | 0.563831 | + | 1.14418i | ||||
\(802\) | −2.11415 | − | 3.66182i | −0.0746533 | − | 0.129303i | ||||
\(803\) | 22.0523 | 0.778209 | ||||||||
\(804\) | −3.75253 | + | 2.00507i | −0.132342 | + | 0.0707133i | ||||
\(805\) | 15.0630 | − | 6.47628i | 0.530901 | − | 0.228259i | ||||
\(806\) | 6.38817 | + | 3.68821i | 0.225014 | + | 0.129912i | ||||
\(807\) | −11.7861 | − | 7.33145i | −0.414891 | − | 0.258079i | ||||
\(808\) | 10.3065 | + | 5.95045i | 0.362581 | + | 0.209336i | ||||
\(809\) | 8.76550 | − | 5.06076i | 0.308179 | − | 0.177927i | −0.337933 | − | 0.941170i | \(-0.609728\pi\) |
0.646111 | + | 0.763243i | \(0.276394\pi\) | |||||||
\(810\) | 26.0082 | + | 19.9809i | 0.913835 | + | 0.702057i | ||||
\(811\) | 44.8854i | 1.57614i | 0.615586 | + | 0.788070i | \(0.288920\pi\) | ||||
−0.615586 | + | 0.788070i | \(0.711080\pi\) | |||||||
\(812\) | −1.29230 | + | 10.9433i | −0.0453508 | + | 0.384034i | ||||
\(813\) | −3.10023 | − | 0.101943i | −0.108730 | − | 0.00357530i | ||||
\(814\) | 17.2265 | + | 29.8371i | 0.603787 | + | 1.04579i | ||||
\(815\) | 11.0066 | 0.385544 | ||||||||
\(816\) | −2.27874 | − | 1.41747i | −0.0797717 | − | 0.0496213i | ||||
\(817\) | − | 5.00028i | − | 0.174938i | ||||||
\(818\) | −38.4154 | −1.34316 | ||||||||
\(819\) | −4.91771 | + | 26.5295i | −0.171839 | + | 0.927015i | ||||
\(820\) | 7.41083 | 0.258797 | ||||||||
\(821\) | − | 34.4709i | − | 1.20304i | −0.798857 | − | 0.601521i | \(-0.794562\pi\) | ||
0.798857 | − | 0.601521i | \(-0.205438\pi\) | |||||||
\(822\) | 0.830057 | − | 25.2432i | 0.0289516 | − | 0.880456i | ||||
\(823\) | −28.9121 | −1.00781 | −0.503906 | − | 0.863758i | \(-0.668104\pi\) | ||||
−0.503906 | + | 0.863758i | \(0.668104\pi\) | |||||||
\(824\) | 7.34240 | + | 12.7174i | 0.255785 | + | 0.443032i | ||||
\(825\) | −38.3810 | + | 61.7015i | −1.33625 | + | 2.14817i | ||||
\(826\) | −4.61453 | − | 3.44394i | −0.160560 | − | 0.119830i | ||||
\(827\) | − | 18.8795i | − | 0.656506i | −0.944590 | − | 0.328253i | \(-0.893540\pi\) | ||
0.944590 | − | 0.328253i | \(-0.106460\pi\) | |||||||
\(828\) | −0.335155 | + | 5.09074i | −0.0116474 | + | 0.176916i | ||||
\(829\) | 15.6663 | − | 9.04494i | 0.544113 | − | 0.314144i | −0.202631 | − | 0.979255i | \(-0.564949\pi\) |
0.746744 | + | 0.665111i | \(0.231616\pi\) | |||||||
\(830\) | −4.84775 | − | 2.79885i | −0.168268 | − | 0.0971495i | ||||
\(831\) | 1.39995 | − | 42.5742i | 0.0485636 | − | 1.47688i | ||||
\(832\) | −2.94391 | − | 1.69967i | −0.102062 | − | 0.0589254i | ||||
\(833\) | −7.46157 | + | 7.87116i | −0.258528 | + | 0.272720i | ||||
\(834\) | −0.327210 | + | 9.95089i | −0.0113303 | + | 0.344571i | ||||
\(835\) | 52.0942 | 1.80279 | ||||||||
\(836\) | 2.06866 | + | 3.58302i | 0.0715461 | + | 0.123921i | ||||
\(837\) | 11.2206 | + | 1.11009i | 0.387842 | + | 0.0383703i | ||||
\(838\) | −12.1815 | − | 7.03301i | −0.420804 | − | 0.242951i | ||||
\(839\) | 2.53049 | + | 4.38294i | 0.0873623 | + | 0.151316i | 0.906395 | − | 0.422430i | \(-0.138823\pi\) |
−0.819033 | + | 0.573746i | \(0.805490\pi\) | |||||||
\(840\) | 6.08833 | + | 15.5502i | 0.210067 | + | 0.536532i | ||||
\(841\) | −5.82673 | + | 10.0922i | −0.200922 | + | 0.348007i | ||||
\(842\) | 18.2738 | − | 10.5504i | 0.629758 | − | 0.363591i | ||||
\(843\) | 19.6764 | − | 31.6320i | 0.677692 | − | 1.08946i | ||||
\(844\) | 7.27211 | − | 12.5957i | 0.250316 | − | 0.433560i | ||||
\(845\) | −2.63197 | + | 4.55871i | −0.0905426 | + | 0.156824i | ||||
\(846\) | 16.8154 | + | 11.2428i | 0.578125 | + | 0.386535i | ||||
\(847\) | −38.5552 | − | 4.55300i | −1.32477 | − | 0.156443i | ||||
\(848\) | −11.4961 | + | 6.63726i | −0.394777 | + | 0.227924i | ||||
\(849\) | 16.2828 | + | 30.4736i | 0.558824 | + | 1.04585i | ||||
\(850\) | − | 12.8286i | − | 0.440019i | ||||||
\(851\) | 11.5633i | 0.396384i | ||||||||
\(852\) | 5.50381 | + | 10.3005i | 0.188558 | + | 0.352890i | ||||
\(853\) | 37.0163 | − | 21.3714i | 1.26741 | − | 0.731742i | 0.292916 | − | 0.956138i | \(-0.405374\pi\) |
0.974498 | + | 0.224397i | \(0.0720412\pi\) | |||||||
\(854\) | 11.4789 | − | 15.3805i | 0.392799 | − | 0.526311i | ||||
\(855\) | 7.42084 | + | 4.96158i | 0.253787 | + | 0.169682i | ||||
\(856\) | 1.65961 | − | 2.87453i | 0.0567243 | − | 0.0982493i | ||||
\(857\) | 0.537523 | − | 0.931017i | 0.0183614 | − | 0.0318030i | −0.856699 | − | 0.515817i | \(-0.827488\pi\) |
0.875060 | + | 0.484014i | \(0.160822\pi\) | |||||||
\(858\) | 15.7576 | − | 25.3321i | 0.537957 | − | 0.864824i | ||||
\(859\) | −20.9983 | + | 12.1234i | −0.716452 | + | 0.413644i | −0.813446 | − | 0.581641i | \(-0.802411\pi\) |
0.0969931 | + | 0.995285i | \(0.469078\pi\) | |||||||
\(860\) | −11.1580 | + | 19.3262i | −0.380484 | + | 0.659017i | ||||
\(861\) | 7.28133 | + | 5.81640i | 0.248147 | + | 0.198223i | ||||
\(862\) | −5.82709 | − | 10.0928i | −0.198471 | − | 0.343762i | ||||
\(863\) | −38.7211 | − | 22.3556i | −1.31808 | − | 0.760994i | −0.334661 | − | 0.942339i | \(-0.608622\pi\) |
−0.983420 | + | 0.181344i | \(0.941955\pi\) | |||||||
\(864\) | −5.17091 | − | 0.511572i | −0.175918 | − | 0.0174040i | ||||
\(865\) | −4.00683 | − | 6.94004i | −0.136236 | − | 0.235968i | ||||
\(866\) | −17.9149 | −0.608774 | ||||||||
\(867\) | 0.831045 | − | 25.2732i | 0.0282238 | − | 0.858323i | ||||
\(868\) | 4.60104 | + | 3.43387i | 0.156169 | + | 0.116553i | ||||
\(869\) | 55.9614 | + | 32.3093i | 1.89836 | + | 1.09602i | ||||
\(870\) | 0.863957 | − | 26.2741i | 0.0292909 | − | 0.890776i | ||||
\(871\) | 7.23145 | + | 4.17508i | 0.245028 | + | 0.141467i | ||||
\(872\) | −2.45668 | + | 1.41837i | −0.0831938 | + | 0.0480320i | ||||
\(873\) | −1.27328 | + | 19.3401i | −0.0430939 | + | 0.654563i | ||||
\(874\) | 1.38859i | 0.0469697i | ||||||||
\(875\) | −18.9136 | + | 25.3423i | −0.639395 | + | 0.856725i | ||||
\(876\) | −3.98163 | + | 6.40091i | −0.134527 | + | 0.216267i | ||||
\(877\) | 2.08435 | + | 3.61020i | 0.0703835 | + | 0.121908i | 0.899069 | − | 0.437806i | \(-0.144244\pi\) |
−0.828686 | + | 0.559714i | \(0.810911\pi\) | |||||||
\(878\) | −19.0275 | −0.642149 | ||||||||
\(879\) | −0.141917 | + | 4.31589i | −0.00478675 | + | 0.145571i | ||||
\(880\) | − | 18.4646i | − | 0.622442i | ||||||
\(881\) | −32.0880 | −1.08107 | −0.540536 | − | 0.841321i | \(-0.681779\pi\) | ||||
−0.540536 | + | 0.841321i | \(0.681779\pi\) | |||||||
\(882\) | −6.22264 | + | 20.0569i | −0.209527 | + | 0.675351i | ||||
\(883\) | −29.5080 | −0.993022 | −0.496511 | − | 0.868031i | \(-0.665386\pi\) | ||||
−0.496511 | + | 0.868031i | \(0.665386\pi\) | |||||||
\(884\) | 5.26691i | 0.177145i | ||||||||
\(885\) | 11.6641 | + | 7.25555i | 0.392084 | + | 0.243893i | ||||
\(886\) | 7.67734 | 0.257925 | ||||||||
\(887\) | 12.4214 | + | 21.5145i | 0.417071 | + | 0.722387i | 0.995643 | − | 0.0932433i | \(-0.0297234\pi\) |
−0.578573 | + | 0.815631i | \(0.696390\pi\) | |||||||
\(888\) | −11.7708 | − | 0.387054i | −0.395004 | − | 0.0129887i | ||||
\(889\) | 27.5789 | − | 36.9530i | 0.924967 | − | 1.23936i | ||||
\(890\) | − | 43.8521i | − | 1.46993i | ||||||
\(891\) | 5.97865 | − | 45.2087i | 0.200292 | − | 1.51455i | ||||
\(892\) | 22.5221 | − | 13.0031i | 0.754095 | − | 0.435377i | ||||
\(893\) | 4.76792 | + | 2.75276i | 0.159552 | + | 0.0921176i | ||||
\(894\) | −8.42170 | − | 5.23865i | −0.281664 | − | 0.175207i | ||||
\(895\) | −33.9166 | − | 19.5818i | −1.13371 | − | 0.654546i | ||||
\(896\) | −2.12034 | − | 1.58246i | −0.0708354 | − | 0.0528662i | ||||
\(897\) | 8.83116 | − | 4.71870i | 0.294864 | − | 0.157553i | ||||
\(898\) | −30.1018 | −1.00451 | ||||||||
\(899\) | −4.51885 | − | 7.82687i | −0.150712 | − | 0.261041i | ||||
\(900\) | −10.9797 | − | 22.2809i | −0.365989 | − | 0.742698i | ||||
\(901\) | 17.8119 | + | 10.2837i | 0.593401 | + | 0.342600i | ||||
\(902\) | −5.15212 | − | 8.92373i | −0.171547 | − | 0.297128i | ||||
\(903\) | −26.1312 | + | 10.2311i | −0.869591 | + | 0.340470i | ||||
\(904\) | 3.92866 | − | 6.80465i | 0.130665 | − | 0.226319i | ||||
\(905\) | 45.6694 | − | 26.3673i | 1.51810 | − | 0.876477i | ||||
\(906\) | −22.1058 | − | 0.726892i | −0.734415 | − | 0.0241494i | ||||
\(907\) | −20.4561 | + | 35.4311i | −0.679235 | + | 1.17647i | 0.295977 | + | 0.955195i | \(0.404355\pi\) |
−0.975212 | + | 0.221274i | \(0.928979\pi\) | |||||||
\(908\) | 11.4390 | − | 19.8129i | 0.379616 | − | 0.657513i | ||||
\(909\) | −15.7816 | − | 32.0254i | −0.523442 | − | 1.06221i | ||||
\(910\) | 19.6030 | − | 26.2660i | 0.649833 | − | 0.870711i | ||||
\(911\) | 2.21678 | − | 1.27986i | 0.0734452 | − | 0.0424036i | −0.462828 | − | 0.886448i | \(-0.653165\pi\) |
0.536273 | + | 0.844045i | \(0.319832\pi\) | |||||||
\(912\) | −1.41352 | − | 0.0464799i | −0.0468062 | − | 0.00153910i | ||||
\(913\) | 7.78320i | 0.257586i | ||||||||
\(914\) | 39.4876i | 1.30613i | ||||||||
\(915\) | −24.1832 | + | 38.8771i | −0.799473 | + | 1.28524i | ||||
\(916\) | 23.3224 | − | 13.4652i | 0.770592 | − | 0.444902i | ||||
\(917\) | −8.49221 | − | 1.00285i | −0.280438 | − | 0.0331170i | ||||
\(918\) | 3.31945 | + | 7.33471i | 0.109558 | + | 0.242081i | ||||
\(919\) | 5.12246 | − | 8.87236i | 0.168974 | − | 0.292672i | −0.769085 | − | 0.639146i | \(-0.779288\pi\) |
0.938060 | + | 0.346474i | \(0.112621\pi\) | |||||||
\(920\) | 3.09859 | − | 5.36692i | 0.102158 | − | 0.176942i | ||||
\(921\) | −7.53509 | − | 14.1021i | −0.248290 | − | 0.464680i | ||||
\(922\) | 19.7066 | − | 11.3776i | 0.649004 | − | 0.374703i | ||||
\(923\) | 11.4604 | − | 19.8500i | 0.377223 | − | 0.653370i | ||||
\(924\) | 14.4920 | − | 18.1420i | 0.476752 | − | 0.596827i | ||||
\(925\) | −28.1495 | − | 48.7564i | −0.925550 | − | 1.60310i | ||||
\(926\) | −11.4985 | − | 6.63866i | −0.377864 | − | 0.218160i | ||||
\(927\) | 2.89410 | − | 43.9592i | 0.0950548 | − | 1.44381i | ||||
\(928\) | 2.08246 | + | 3.60693i | 0.0683601 | + | 0.118403i | ||||
\(929\) | −29.5704 | −0.970173 | −0.485087 | − | 0.874466i | \(-0.661212\pi\) | ||||
−0.485087 | + | 0.874466i | \(0.661212\pi\) | |||||||
\(930\) | −11.6300 | − | 7.23434i | −0.381362 | − | 0.237223i | ||||
\(931\) | −1.33138 | + | 5.55852i | −0.0436343 | + | 0.182173i | ||||
\(932\) | 3.82003 | + | 2.20550i | 0.125129 | + | 0.0722435i | ||||
\(933\) | 35.0923 | − | 18.7506i | 1.14887 | − | 0.613868i | ||||
\(934\) | 20.0698 | + | 11.5873i | 0.656702 | + | 0.379147i | ||||
\(935\) | −24.7761 | + | 14.3045i | −0.810264 | + | 0.467806i | ||||
\(936\) | 4.50780 | + | 9.14764i | 0.147342 | + | 0.299000i | ||||
\(937\) | 17.9991i | 0.588005i | 0.955805 | + | 0.294002i | \(0.0949874\pi\) | ||||
−0.955805 | + | 0.294002i | \(0.905013\pi\) | |||||||
\(938\) | 5.20841 | + | 3.88716i | 0.170061 | + | 0.126920i | ||||
\(939\) | −5.25130 | − | 9.82793i | −0.171370 | − | 0.320722i | ||||
\(940\) | −12.2854 | − | 21.2789i | −0.400706 | − | 0.694043i | ||||
\(941\) | 29.7237 | 0.968965 | 0.484483 | − | 0.874801i | \(-0.339008\pi\) | ||||
0.484483 | + | 0.874801i | \(0.339008\pi\) | |||||||
\(942\) | −19.5092 | + | 10.4242i | −0.635645 | + | 0.339640i | ||||
\(943\) | − | 3.45836i | − | 0.112620i | ||||||
\(944\) | −2.17632 | −0.0708331 | ||||||||
\(945\) | 10.7451 | − | 48.9328i | 0.349538 | − | 1.59179i | ||||
\(946\) | 31.0287 | 1.00883 | ||||||||
\(947\) | − | 22.1959i | − | 0.721270i | −0.932707 | − | 0.360635i | \(-0.882560\pi\) | ||
0.932707 | − | 0.360635i | \(-0.117440\pi\) | |||||||
\(948\) | −19.4822 | + | 10.4098i | −0.632752 | + | 0.338094i | ||||
\(949\) | 14.7946 | 0.480254 | ||||||||
\(950\) | −3.38037 | − | 5.85497i | −0.109674 | − | 0.189960i | ||||
\(951\) | −7.13031 | − | 13.3445i | −0.231216 | − | 0.432726i | ||||
\(952\) | −0.480749 | + | 4.07102i | −0.0155812 | + | 0.131943i | ||||
\(953\) | − | 2.12319i | − | 0.0687769i | −0.999409 | − | 0.0343884i | \(-0.989052\pi\) | ||
0.999409 | − | 0.0343884i | \(-0.0109483\pi\) | |||||||
\(954\) | 39.7375 | + | 2.61616i | 1.28655 | + | 0.0847014i | ||||
\(955\) | −26.2950 | + | 15.1814i | −0.850885 | + | 0.491258i | ||||
\(956\) | −16.1660 | − | 9.33343i | −0.522845 | − | 0.301865i | ||||
\(957\) | −32.2385 | + | 17.2258i | −1.04212 | + | 0.556832i | ||||
\(958\) | 21.4025 | + | 12.3567i | 0.691484 | + | 0.399228i | ||||
\(959\) | −35.4433 | + | 15.2387i | −1.14452 | + | 0.492084i | ||||
\(960\) | 5.35954 | + | 3.33386i | 0.172979 | + | 0.107600i | ||||
\(961\) | 26.2913 | 0.848106 | ||||||||
\(962\) | 11.5570 | + | 20.0174i | 0.372613 | + | 0.645385i | ||||
\(963\) | −8.93203 | + | 4.40156i | −0.287831 | + | 0.141838i | ||||
\(964\) | −0.412458 | − | 0.238133i | −0.0132844 | − | 0.00766974i | ||||
\(965\) | 17.4333 | + | 30.1954i | 0.561199 | + | 0.972025i | ||||
\(966\) | 7.25669 | − | 2.84120i | 0.233480 | − | 0.0914142i | ||||
\(967\) | −2.23409 | + | 3.86955i | −0.0718434 | + | 0.124436i | −0.899709 | − | 0.436490i | \(-0.856222\pi\) |
0.827866 | + | 0.560926i | \(0.189555\pi\) | |||||||
\(968\) | −12.7078 | + | 7.33687i | −0.408445 | + | 0.235816i | ||||
\(969\) | 1.03268 | + | 1.93268i | 0.0331744 | + | 0.0620867i | ||||
\(970\) | 11.7718 | − | 20.3893i | 0.377969 | − | 0.654661i | ||||
\(971\) | −0.916026 | + | 1.58660i | −0.0293967 | + | 0.0509165i | −0.880349 | − | 0.474326i | \(-0.842692\pi\) |
0.850953 | + | 0.525242i | \(0.176025\pi\) | |||||||
\(972\) | 12.0428 | + | 9.89799i | 0.386274 | + | 0.317478i | ||||
\(973\) | 13.9718 | − | 6.00713i | 0.447916 | − | 0.192580i | ||||
\(974\) | 29.4236 | − | 16.9877i | 0.942794 | − | 0.544322i | ||||
\(975\) | −25.7493 | + | 41.3948i | −0.824638 | + | 1.32570i | ||||
\(976\) | − | 7.25382i | − | 0.232189i | ||||||
\(977\) | − | 30.9498i | − | 0.990173i | −0.868844 | − | 0.495087i | \(-0.835136\pi\) | ||
0.868844 | − | 0.495087i | \(-0.164864\pi\) | |||||||
\(978\) | 5.22858 | + | 0.171929i | 0.167192 | + | 0.00549767i | ||||
\(979\) | −52.8044 | + | 30.4866i | −1.68764 | + | 0.974357i | ||||
\(980\) | 17.5495 | − | 18.5128i | 0.560598 | − | 0.591371i | ||||
\(981\) | 8.49182 | + | 0.559068i | 0.271123 | + | 0.0178497i | ||||
\(982\) | −14.7763 | + | 25.5933i | −0.471531 | + | 0.816715i | ||||
\(983\) | 16.2825 | − | 28.2020i | 0.519330 | − | 0.899505i | −0.480418 | − | 0.877040i | \(-0.659515\pi\) |
0.999748 | − | 0.0224656i | \(-0.00715163\pi\) | |||||||
\(984\) | 3.52044 | + | 0.115761i | 0.112228 | + | 0.00369032i | ||||
\(985\) | −7.48673 | + | 4.32246i | −0.238547 | + | 0.137725i | ||||
\(986\) | 3.22655 | − | 5.58854i | 0.102754 | − | 0.177975i | ||||
\(987\) | 4.63010 | − | 30.5494i | 0.147378 | − | 0.972397i | ||||
\(988\) | 1.38784 | + | 2.40381i | 0.0441530 | + | 0.0764753i | ||||
\(989\) | 9.01881 | + | 5.20701i | 0.286782 | + | 0.165573i | ||||
\(990\) | −30.7886 | + | 46.0493i | −0.978525 | + | 1.46354i | ||||
\(991\) | 1.45730 | + | 2.52411i | 0.0462926 | + | 0.0801811i | 0.888243 | − | 0.459373i | \(-0.151926\pi\) |
−0.841951 | + | 0.539555i | \(0.818593\pi\) | |||||||
\(992\) | 2.16996 | 0.0688962 | ||||||||
\(993\) | 48.4277 | − | 25.8761i | 1.53681 | − | 0.821152i | ||||
\(994\) | 10.6701 | − | 14.2968i | 0.338434 | − | 0.453468i | ||||
\(995\) | −71.0545 | − | 41.0234i | −2.25258 | − | 1.30053i | ||||
\(996\) | −2.25916 | − | 1.40529i | −0.0715841 | − | 0.0445283i | ||||
\(997\) | 39.9943 | + | 23.0907i | 1.26663 | + | 0.731290i | 0.974349 | − | 0.225042i | \(-0.0722520\pi\) |
0.292282 | + | 0.956332i | \(0.405585\pi\) | |||||||
\(998\) | 9.32959 | − | 5.38644i | 0.295323 | − | 0.170505i | ||||
\(999\) | 28.7102 | + | 20.5924i | 0.908350 | + | 0.651515i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))