Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(23,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.w (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: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.8 | ||
Character | \(\chi\) | \(=\) | 140.107 |
Dual form | 140.2.w.b.123.8 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0366689 | + | 1.41374i | 0.0259288 | + | 0.999664i | ||||
\(3\) | 0.107770 | − | 0.402205i | 0.0622213 | − | 0.232213i | −0.927812 | − | 0.373049i | \(-0.878312\pi\) |
0.990033 | + | 0.140836i | \(0.0449790\pi\) | |||||||
\(4\) | −1.99731 | + | 0.103680i | −0.998655 | + | 0.0518402i | ||||
\(5\) | 1.27747 | + | 1.83523i | 0.571304 | + | 0.820739i | ||||
\(6\) | 0.572564 | + | 0.137611i | 0.233748 | + | 0.0561793i | ||||
\(7\) | −1.30345 | + | 2.30240i | −0.492657 | + | 0.870224i | ||||
\(8\) | −0.219816 | − | 2.81987i | −0.0777167 | − | 0.996975i | ||||
\(9\) | 2.44792 | + | 1.41331i | 0.815974 | + | 0.471103i | ||||
\(10\) | −2.54769 | + | 1.87331i | −0.805650 | + | 0.592392i | ||||
\(11\) | −0.725638 | + | 0.418947i | −0.218788 | + | 0.126317i | −0.605389 | − | 0.795930i | \(-0.706982\pi\) |
0.386601 | + | 0.922247i | \(0.373649\pi\) | |||||||
\(12\) | −0.173550 | + | 0.814501i | −0.0500996 | + | 0.235126i | ||||
\(13\) | −1.16367 | + | 1.16367i | −0.322743 | + | 0.322743i | −0.849819 | − | 0.527075i | \(-0.823289\pi\) |
0.527075 | + | 0.849819i | \(0.323289\pi\) | |||||||
\(14\) | −3.30278 | − | 1.75831i | −0.882705 | − | 0.469927i | ||||
\(15\) | 0.875811 | − | 0.316023i | 0.226133 | − | 0.0815967i | ||||
\(16\) | 3.97850 | − | 0.414164i | 0.994625 | − | 0.103541i | ||||
\(17\) | 1.32592 | − | 4.94841i | 0.321583 | − | 1.20016i | −0.596119 | − | 0.802896i | \(-0.703291\pi\) |
0.917702 | − | 0.397269i | \(-0.130042\pi\) | |||||||
\(18\) | −1.90829 | + | 3.51255i | −0.449787 | + | 0.827915i | ||||
\(19\) | 2.91741 | − | 5.05309i | 0.669299 | − | 1.15926i | −0.308802 | − | 0.951126i | \(-0.599928\pi\) |
0.978101 | − | 0.208133i | \(-0.0667387\pi\) | |||||||
\(20\) | −2.74179 | − | 3.53307i | −0.613083 | − | 0.790019i | ||||
\(21\) | 0.785561 | + | 0.772382i | 0.171423 | + | 0.168548i | ||||
\(22\) | −0.618890 | − | 1.01050i | −0.131948 | − | 0.215439i | ||||
\(23\) | −3.34713 | + | 0.896861i | −0.697925 | + | 0.187008i | −0.590301 | − | 0.807183i | \(-0.700991\pi\) |
−0.107624 | + | 0.994192i | \(0.534324\pi\) | |||||||
\(24\) | −1.15786 | − | 0.215488i | −0.236346 | − | 0.0439862i | ||||
\(25\) | −1.73612 | + | 4.68891i | −0.347224 | + | 0.937782i | ||||
\(26\) | −1.68779 | − | 1.60245i | −0.331003 | − | 0.314266i | ||||
\(27\) | 1.71555 | − | 1.71555i | 0.330159 | − | 0.330159i | ||||
\(28\) | 2.36468 | − | 4.73374i | 0.446882 | − | 0.894593i | ||||
\(29\) | − | 5.00172i | − | 0.928795i | −0.885627 | − | 0.464398i | \(-0.846271\pi\) | ||
0.885627 | − | 0.464398i | \(-0.153729\pi\) | |||||||
\(30\) | 0.478888 | + | 1.22658i | 0.0874326 | + | 0.223942i | ||||
\(31\) | 7.03267 | − | 4.06031i | 1.26310 | − | 0.729254i | 0.289430 | − | 0.957199i | \(-0.406534\pi\) |
0.973674 | + | 0.227945i | \(0.0732008\pi\) | |||||||
\(32\) | 0.731407 | + | 5.60937i | 0.129296 | + | 0.991606i | ||||
\(33\) | 0.0903002 | + | 0.337005i | 0.0157192 | + | 0.0586650i | ||||
\(34\) | 7.04437 | + | 1.69305i | 1.20810 | + | 0.290356i | ||||
\(35\) | −5.89054 | + | 0.549128i | −0.995683 | + | 0.0928196i | ||||
\(36\) | −5.03579 | − | 2.56901i | −0.839299 | − | 0.428169i | ||||
\(37\) | 0.711408 | − | 0.190621i | 0.116955 | − | 0.0313379i | −0.199867 | − | 0.979823i | \(-0.564051\pi\) |
0.316822 | + | 0.948485i | \(0.397384\pi\) | |||||||
\(38\) | 7.25073 | + | 3.93916i | 1.17622 | + | 0.639015i | ||||
\(39\) | 0.342623 | + | 0.593441i | 0.0548637 | + | 0.0950266i | ||||
\(40\) | 4.89430 | − | 4.00573i | 0.773857 | − | 0.633361i | ||||
\(41\) | 0.0958388 | 0.0149675 | 0.00748375 | − | 0.999972i | \(-0.497618\pi\) | ||||
0.00748375 | + | 0.999972i | \(0.497618\pi\) | |||||||
\(42\) | −1.06314 | + | 1.13890i | −0.164046 | + | 0.175736i | ||||
\(43\) | 4.87975 | + | 4.87975i | 0.744155 | + | 0.744155i | 0.973375 | − | 0.229220i | \(-0.0736174\pi\) |
−0.229220 | + | 0.973375i | \(0.573617\pi\) | |||||||
\(44\) | 1.40589 | − | 0.912002i | 0.211946 | − | 0.137490i | ||||
\(45\) | 0.533414 | + | 6.29796i | 0.0795166 | + | 0.938844i | ||||
\(46\) | −1.39066 | − | 4.69908i | −0.205042 | − | 0.692841i | ||||
\(47\) | 1.41603 | + | 5.28468i | 0.206549 | + | 0.770850i | 0.988972 | + | 0.148103i | \(0.0473167\pi\) |
−0.782423 | + | 0.622747i | \(0.786017\pi\) | |||||||
\(48\) | 0.262186 | − | 1.64481i | 0.0378433 | − | 0.237407i | ||||
\(49\) | −3.60205 | − | 6.00210i | −0.514579 | − | 0.857443i | ||||
\(50\) | −6.69255 | − | 2.28248i | −0.946470 | − | 0.322792i | ||||
\(51\) | −1.84738 | − | 1.06658i | −0.258684 | − | 0.149352i | ||||
\(52\) | 2.20356 | − | 2.44486i | 0.305578 | − | 0.339040i | ||||
\(53\) | −12.8172 | − | 3.43436i | −1.76058 | − | 0.471745i | −0.773745 | − | 0.633497i | \(-0.781619\pi\) |
−0.986832 | + | 0.161752i | \(0.948286\pi\) | |||||||
\(54\) | 2.48825 | + | 2.36244i | 0.338608 | + | 0.321487i | ||||
\(55\) | −1.69585 | − | 0.796517i | −0.228668 | − | 0.107402i | ||||
\(56\) | 6.77898 | + | 3.16945i | 0.905879 | + | 0.423536i | ||||
\(57\) | −1.71797 | − | 1.71797i | −0.227550 | − | 0.227550i | ||||
\(58\) | 7.07112 | − | 0.183407i | 0.928483 | − | 0.0240826i | ||||
\(59\) | −4.46933 | − | 7.74111i | −0.581858 | − | 1.00781i | −0.995259 | − | 0.0972582i | \(-0.968993\pi\) |
0.413402 | − | 0.910549i | \(-0.364341\pi\) | |||||||
\(60\) | −1.71650 | + | 0.722000i | −0.221599 | + | 0.0932098i | ||||
\(61\) | 0.919379 | − | 1.59241i | 0.117714 | − | 0.203887i | −0.801147 | − | 0.598467i | \(-0.795777\pi\) |
0.918862 | + | 0.394580i | \(0.129110\pi\) | |||||||
\(62\) | 5.99810 | + | 9.79346i | 0.761759 | + | 1.24377i | ||||
\(63\) | −6.44473 | + | 3.79391i | −0.811960 | + | 0.477988i | ||||
\(64\) | −7.90336 | + | 1.23971i | −0.987920 | + | 0.154963i | ||||
\(65\) | −3.62215 | − | 0.649040i | −0.449272 | − | 0.0805035i | ||||
\(66\) | −0.473126 | + | 0.140018i | −0.0582377 | + | 0.0172351i | ||||
\(67\) | −0.515535 | − | 0.138137i | −0.0629826 | − | 0.0168761i | 0.227190 | − | 0.973850i | \(-0.427046\pi\) |
−0.290173 | + | 0.956974i | \(0.593713\pi\) | |||||||
\(68\) | −2.13522 | + | 10.0210i | −0.258934 | + | 1.21522i | ||||
\(69\) | 1.44289i | 0.173703i | ||||||||
\(70\) | −0.992323 | − | 8.30754i | −0.118605 | − | 0.992941i | ||||
\(71\) | 13.6494i | 1.61989i | 0.586505 | + | 0.809946i | \(0.300503\pi\) | ||||
−0.586505 | + | 0.809946i | \(0.699497\pi\) | |||||||
\(72\) | 3.44726 | − | 7.21350i | 0.406263 | − | 0.850119i | ||||
\(73\) | −5.78744 | − | 1.55074i | −0.677368 | − | 0.181500i | −0.0962967 | − | 0.995353i | \(-0.530700\pi\) |
−0.581072 | + | 0.813852i | \(0.697366\pi\) | |||||||
\(74\) | 0.295575 | + | 0.998755i | 0.0343599 | + | 0.116103i | ||||
\(75\) | 1.69880 | + | 1.20360i | 0.196160 | + | 0.138980i | ||||
\(76\) | −5.30306 | + | 10.3951i | −0.608303 | + | 1.19240i | ||||
\(77\) | −0.0187518 | − | 2.21678i | −0.00213696 | − | 0.252626i | ||||
\(78\) | −0.826407 | + | 0.506141i | −0.0935721 | + | 0.0573091i | ||||
\(79\) | −5.30723 | + | 9.19239i | −0.597110 | + | 1.03422i | 0.396136 | + | 0.918192i | \(0.370351\pi\) |
−0.993245 | + | 0.116033i | \(0.962982\pi\) | |||||||
\(80\) | 5.84252 | + | 6.77237i | 0.653213 | + | 0.757174i | ||||
\(81\) | 3.73481 | + | 6.46888i | 0.414979 | + | 0.718764i | ||||
\(82\) | 0.00351430 | + | 0.135491i | 0.000388090 | + | 0.0149625i | ||||
\(83\) | −4.36830 | − | 4.36830i | −0.479483 | − | 0.479483i | 0.425483 | − | 0.904966i | \(-0.360104\pi\) |
−0.904966 | + | 0.425483i | \(0.860104\pi\) | |||||||
\(84\) | −1.64909 | − | 1.46124i | −0.179931 | − | 0.159434i | ||||
\(85\) | 10.7753 | − | 3.88809i | 1.16874 | − | 0.421723i | ||||
\(86\) | −6.71975 | + | 7.07762i | −0.724610 | + | 0.763200i | ||||
\(87\) | −2.01171 | − | 0.539037i | −0.215678 | − | 0.0577908i | ||||
\(88\) | 1.34088 | + | 1.95412i | 0.142939 | + | 0.208309i | ||||
\(89\) | 2.50474 | + | 1.44611i | 0.265502 | + | 0.153288i | 0.626842 | − | 0.779147i | \(-0.284347\pi\) |
−0.361340 | + | 0.932434i | \(0.617681\pi\) | |||||||
\(90\) | −8.88411 | + | 0.985047i | −0.936467 | + | 0.103833i | ||||
\(91\) | −1.16244 | − | 4.19600i | −0.121857 | − | 0.439860i | ||||
\(92\) | 6.59227 | − | 2.13834i | 0.687292 | − | 0.222937i | ||||
\(93\) | −0.875163 | − | 3.26615i | −0.0907502 | − | 0.338684i | ||||
\(94\) | −7.41923 | + | 2.19567i | −0.765235 | + | 0.226466i | ||||
\(95\) | 13.0005 | − | 1.10109i | 1.33382 | − | 0.112970i | ||||
\(96\) | 2.33494 | + | 0.310349i | 0.238309 | + | 0.0316749i | ||||
\(97\) | 4.24461 | + | 4.24461i | 0.430975 | + | 0.430975i | 0.888960 | − | 0.457985i | \(-0.151429\pi\) |
−0.457985 | + | 0.888960i | \(0.651429\pi\) | |||||||
\(98\) | 8.35332 | − | 5.31245i | 0.843812 | − | 0.536638i | ||||
\(99\) | −2.36841 | −0.238034 | ||||||||
\(100\) | 2.98142 | − | 9.54521i | 0.298142 | − | 0.954521i | ||||
\(101\) | −0.859895 | − | 1.48938i | −0.0855628 | − | 0.148199i | 0.820068 | − | 0.572266i | \(-0.193935\pi\) |
−0.905631 | + | 0.424067i | \(0.860602\pi\) | |||||||
\(102\) | 1.44013 | − | 2.65082i | 0.142594 | − | 0.262470i | ||||
\(103\) | 15.1726 | − | 4.06549i | 1.49500 | − | 0.400584i | 0.583579 | − | 0.812057i | \(-0.301652\pi\) |
0.911422 | + | 0.411472i | \(0.134985\pi\) | |||||||
\(104\) | 3.53719 | + | 3.02560i | 0.346850 | + | 0.296685i | ||||
\(105\) | −0.413964 | + | 2.42838i | −0.0403987 | + | 0.236986i | ||||
\(106\) | 4.38529 | − | 18.2461i | 0.425937 | − | 1.77222i | ||||
\(107\) | −3.60029 | − | 13.4365i | −0.348053 | − | 1.29895i | −0.889004 | − | 0.457899i | \(-0.848602\pi\) |
0.540951 | − | 0.841054i | \(-0.318064\pi\) | |||||||
\(108\) | −3.24863 | + | 3.60437i | −0.312599 | + | 0.346830i | ||||
\(109\) | 9.23440 | − | 5.33148i | 0.884495 | − | 0.510664i | 0.0123573 | − | 0.999924i | \(-0.496066\pi\) |
0.872138 | + | 0.489260i | \(0.162733\pi\) | |||||||
\(110\) | 1.06388 | − | 2.42669i | 0.101437 | − | 0.231376i | ||||
\(111\) | − | 0.306675i | − | 0.0291083i | ||||||
\(112\) | −4.23220 | + | 9.69992i | −0.399905 | + | 0.916557i | ||||
\(113\) | −5.62032 | + | 5.62032i | −0.528715 | + | 0.528715i | −0.920189 | − | 0.391474i | \(-0.871965\pi\) |
0.391474 | + | 0.920189i | \(0.371965\pi\) | |||||||
\(114\) | 2.36576 | − | 2.49175i | 0.221574 | − | 0.233374i | ||||
\(115\) | −5.92181 | − | 4.99703i | −0.552212 | − | 0.465975i | ||||
\(116\) | 0.518580 | + | 9.98998i | 0.0481490 | + | 0.927547i | ||||
\(117\) | −4.49319 | + | 1.20395i | −0.415395 | + | 0.111305i | ||||
\(118\) | 10.7800 | − | 6.60233i | 0.992381 | − | 0.607793i | ||||
\(119\) | 9.66492 | + | 9.50278i | 0.885982 | + | 0.871119i | ||||
\(120\) | −1.08366 | − | 2.40021i | −0.0989242 | − | 0.219108i | ||||
\(121\) | −5.14897 | + | 8.91827i | −0.468088 | + | 0.810752i | ||||
\(122\) | 2.28496 | + | 1.24137i | 0.206871 | + | 0.112388i | ||||
\(123\) | 0.0103286 | − | 0.0385468i | 0.000931297 | − | 0.00347565i | ||||
\(124\) | −13.6254 | + | 8.83886i | −1.22360 | + | 0.793753i | ||||
\(125\) | −10.8231 | + | 2.80378i | −0.968045 | + | 0.250778i | ||||
\(126\) | −5.59992 | − | 8.97205i | −0.498881 | − | 0.799293i | ||||
\(127\) | 4.54633 | − | 4.54633i | 0.403421 | − | 0.403421i | −0.476016 | − | 0.879437i | \(-0.657919\pi\) |
0.879437 | + | 0.476016i | \(0.157919\pi\) | |||||||
\(128\) | −2.04243 | − | 11.1278i | −0.180527 | − | 0.983570i | ||||
\(129\) | 2.48855 | − | 1.43677i | 0.219105 | − | 0.126500i | ||||
\(130\) | 0.784752 | − | 5.14457i | 0.0688273 | − | 0.451209i | ||||
\(131\) | −11.9545 | − | 6.90194i | −1.04447 | − | 0.603025i | −0.123374 | − | 0.992360i | \(-0.539371\pi\) |
−0.921096 | + | 0.389335i | \(0.872705\pi\) | |||||||
\(132\) | −0.215298 | − | 0.663741i | −0.0187393 | − | 0.0577713i | ||||
\(133\) | 7.83154 | + | 13.3035i | 0.679081 | + | 1.15356i | ||||
\(134\) | 0.176386 | − | 0.733896i | 0.0152374 | − | 0.0633990i | ||||
\(135\) | 5.34001 | + | 0.956857i | 0.459595 | + | 0.0823532i | ||||
\(136\) | −14.2453 | − | 2.65119i | −1.22153 | − | 0.227338i | ||||
\(137\) | 3.72240 | − | 13.8922i | 0.318026 | − | 1.18689i | −0.603112 | − | 0.797656i | \(-0.706073\pi\) |
0.921139 | − | 0.389235i | \(-0.127260\pi\) | |||||||
\(138\) | −2.03986 | + | 0.0529090i | −0.173645 | + | 0.00450391i | ||||
\(139\) | 1.45615 | 0.123509 | 0.0617544 | − | 0.998091i | \(-0.480330\pi\) | ||||
0.0617544 | + | 0.998091i | \(0.480330\pi\) | |||||||
\(140\) | 11.7083 | − | 1.70751i | 0.989532 | − | 0.144311i | ||||
\(141\) | 2.27813 | 0.191853 | ||||||||
\(142\) | −19.2967 | + | 0.500510i | −1.61935 | + | 0.0420019i | ||||
\(143\) | 0.356886 | − | 1.33192i | 0.0298443 | − | 0.111380i | ||||
\(144\) | 10.3244 | + | 4.60901i | 0.860367 | + | 0.384084i | ||||
\(145\) | 9.17929 | − | 6.38956i | 0.762298 | − | 0.530624i | ||||
\(146\) | 1.98012 | − | 8.23879i | 0.163876 | − | 0.681847i | ||||
\(147\) | −2.80227 | + | 0.801913i | −0.231127 | + | 0.0661407i | ||||
\(148\) | −1.40114 | + | 0.454489i | −0.115173 | + | 0.0373588i | ||||
\(149\) | 10.0147 | + | 5.78197i | 0.820433 | + | 0.473677i | 0.850566 | − | 0.525869i | \(-0.176260\pi\) |
−0.0301327 | + | 0.999546i | \(0.509593\pi\) | |||||||
\(150\) | −1.63928 | + | 2.44579i | −0.133847 | + | 0.199698i | ||||
\(151\) | −4.17078 | + | 2.40800i | −0.339414 | + | 0.195961i | −0.660013 | − | 0.751254i | \(-0.729449\pi\) |
0.320599 | + | 0.947215i | \(0.396116\pi\) | |||||||
\(152\) | −14.8904 | − | 7.11596i | −1.20777 | − | 0.577181i | ||||
\(153\) | 10.2394 | − | 10.2394i | 0.827805 | − | 0.827805i | ||||
\(154\) | 3.13326 | − | 0.107797i | 0.252485 | − | 0.00868653i | ||||
\(155\) | 16.4356 | + | 7.71960i | 1.32014 | + | 0.620053i | ||||
\(156\) | −0.745854 | − | 1.14976i | −0.0597161 | − | 0.0920547i | ||||
\(157\) | −1.10435 | + | 4.12149i | −0.0881368 | + | 0.328931i | −0.995890 | − | 0.0905743i | \(-0.971130\pi\) |
0.907753 | + | 0.419505i | \(0.137796\pi\) | |||||||
\(158\) | −13.1902 | − | 7.16596i | −1.04936 | − | 0.570093i | ||||
\(159\) | −2.76263 | + | 4.78501i | −0.219091 | + | 0.379476i | ||||
\(160\) | −9.36012 | + | 8.50812i | −0.739982 | + | 0.672626i | ||||
\(161\) | 2.29788 | − | 8.87543i | 0.181098 | − | 0.699482i | ||||
\(162\) | −9.00835 | + | 5.51725i | −0.707763 | + | 0.433476i | ||||
\(163\) | −7.85417 | + | 2.10452i | −0.615186 | + | 0.164839i | −0.552938 | − | 0.833222i | \(-0.686494\pi\) |
−0.0622476 | + | 0.998061i | \(0.519827\pi\) | |||||||
\(164\) | −0.191420 | + | 0.00993661i | −0.0149474 | + | 0.000775919i | ||||
\(165\) | −0.503125 | + | 0.596236i | −0.0391682 | + | 0.0464169i | ||||
\(166\) | 6.01545 | − | 6.33581i | 0.466889 | − | 0.491754i | ||||
\(167\) | −5.50649 | + | 5.50649i | −0.426105 | + | 0.426105i | −0.887299 | − | 0.461194i | \(-0.847421\pi\) |
0.461194 | + | 0.887299i | \(0.347421\pi\) | |||||||
\(168\) | 2.00534 | − | 2.38496i | 0.154715 | − | 0.184004i | ||||
\(169\) | 10.2918i | 0.791674i | ||||||||
\(170\) | 5.89186 | + | 15.0909i | 0.451885 | + | 1.15742i | ||||
\(171\) | 14.2832 | − | 8.24639i | 1.09226 | − | 0.630617i | ||||
\(172\) | −10.2523 | − | 9.24044i | −0.781731 | − | 0.704577i | ||||
\(173\) | −0.810358 | − | 3.02430i | −0.0616104 | − | 0.229933i | 0.928254 | − | 0.371946i | \(-0.121309\pi\) |
−0.989865 | + | 0.142013i | \(0.954643\pi\) | |||||||
\(174\) | 0.688290 | − | 2.86380i | 0.0521791 | − | 0.217104i | ||||
\(175\) | −8.53279 | − | 10.1090i | −0.645018 | − | 0.764167i | ||||
\(176\) | −2.71344 | + | 1.96732i | −0.204533 | + | 0.148292i | ||||
\(177\) | −3.59517 | + | 0.963323i | −0.270230 | + | 0.0724078i | ||||
\(178\) | −1.95258 | + | 3.59408i | −0.146352 | + | 0.269387i | ||||
\(179\) | −8.05255 | − | 13.9474i | −0.601876 | − | 1.04248i | −0.992537 | − | 0.121945i | \(-0.961087\pi\) |
0.390661 | − | 0.920535i | \(-0.372246\pi\) | |||||||
\(180\) | −1.71837 | − | 12.5237i | −0.128080 | − | 0.933460i | ||||
\(181\) | −3.83256 | −0.284872 | −0.142436 | − | 0.989804i | \(-0.545493\pi\) | ||||
−0.142436 | + | 0.989804i | \(0.545493\pi\) | |||||||
\(182\) | 5.88942 | − | 1.79725i | 0.436553 | − | 0.133221i | ||||
\(183\) | −0.541393 | − | 0.541393i | −0.0400209 | − | 0.0400209i | ||||
\(184\) | 3.26479 | + | 9.24133i | 0.240683 | + | 0.681280i | ||||
\(185\) | 1.25864 | + | 1.06208i | 0.0925369 | + | 0.0780858i | ||||
\(186\) | 4.58539 | − | 1.35702i | 0.336217 | − | 0.0995013i | ||||
\(187\) | 1.11098 | + | 4.14624i | 0.0812431 | + | 0.303203i | ||||
\(188\) | −3.37616 | − | 10.4083i | −0.246232 | − | 0.759106i | ||||
\(189\) | 1.71375 | + | 6.18602i | 0.124657 | + | 0.449967i | ||||
\(190\) | 2.03337 | + | 18.3389i | 0.147516 | + | 1.33044i | ||||
\(191\) | −2.42531 | − | 1.40025i | −0.175489 | − | 0.101319i | 0.409682 | − | 0.912228i | \(-0.365640\pi\) |
−0.585172 | + | 0.810909i | \(0.698973\pi\) | |||||||
\(192\) | −0.353133 | + | 3.31237i | −0.0254851 | + | 0.239050i | ||||
\(193\) | 8.35378 | + | 2.23839i | 0.601318 | + | 0.161123i | 0.546621 | − | 0.837380i | \(-0.315914\pi\) |
0.0546973 | + | 0.998503i | \(0.482581\pi\) | |||||||
\(194\) | −5.84513 | + | 6.15642i | −0.419656 | + | 0.442005i | ||||
\(195\) | −0.651407 | + | 1.38690i | −0.0466482 | + | 0.0993178i | ||||
\(196\) | 7.81672 | + | 11.6146i | 0.558337 | + | 0.829614i | ||||
\(197\) | −4.90073 | − | 4.90073i | −0.349162 | − | 0.349162i | 0.510635 | − | 0.859798i | \(-0.329410\pi\) |
−0.859798 | + | 0.510635i | \(0.829410\pi\) | |||||||
\(198\) | −0.0868469 | − | 3.34831i | −0.00617194 | − | 0.237954i | ||||
\(199\) | 6.19859 | + | 10.7363i | 0.439406 | + | 0.761074i | 0.997644 | − | 0.0686071i | \(-0.0218555\pi\) |
−0.558237 | + | 0.829681i | \(0.688522\pi\) | |||||||
\(200\) | 13.6038 | + | 3.86494i | 0.961931 | + | 0.273293i | ||||
\(201\) | −0.111119 | + | 0.192463i | −0.00783771 | + | 0.0135753i | ||||
\(202\) | 2.07406 | − | 1.27028i | 0.145931 | − | 0.0893766i | ||||
\(203\) | 11.5159 | + | 6.51947i | 0.808260 | + | 0.457577i | ||||
\(204\) | 3.80037 | + | 1.93876i | 0.266079 | + | 0.135740i | ||||
\(205\) | 0.122432 | + | 0.175886i | 0.00855099 | + | 0.0122844i | ||||
\(206\) | 6.30389 | + | 21.3010i | 0.439213 | + | 1.48411i | ||||
\(207\) | −9.46105 | − | 2.53508i | −0.657589 | − | 0.176200i | ||||
\(208\) | −4.14770 | + | 5.11160i | −0.287591 | + | 0.354426i | ||||
\(209\) | 4.88896i | 0.338176i | ||||||||
\(210\) | −3.44827 | − | 0.496190i | −0.237954 | − | 0.0342404i | ||||
\(211\) | − | 0.877438i | − | 0.0604053i | −0.999544 | − | 0.0302027i | \(-0.990385\pi\) | ||
0.999544 | − | 0.0302027i | \(-0.00961527\pi\) | |||||||
\(212\) | 25.9560 | + | 5.53059i | 1.78267 | + | 0.379842i | ||||
\(213\) | 5.48987 | + | 1.47101i | 0.376160 | + | 0.100792i | ||||
\(214\) | 18.8636 | − | 5.58257i | 1.28949 | − | 0.381617i | ||||
\(215\) | −2.72170 | + | 15.1892i | −0.185618 | + | 1.03590i | ||||
\(216\) | −5.21475 | − | 4.46054i | −0.354819 | − | 0.303501i | ||||
\(217\) | 0.181737 | + | 21.4844i | 0.0123371 | + | 1.45846i | ||||
\(218\) | 7.87594 | + | 12.8595i | 0.533426 | + | 0.870957i | ||||
\(219\) | −1.24743 | + | 2.16061i | −0.0842934 | + | 0.146000i | ||||
\(220\) | 3.46972 | + | 1.41507i | 0.233928 | + | 0.0954037i | ||||
\(221\) | 4.21537 | + | 7.30123i | 0.283556 | + | 0.491134i | ||||
\(222\) | 0.433558 | − | 0.0112454i | 0.0290985 | − | 0.000754744i | ||||
\(223\) | −12.6059 | − | 12.6059i | −0.844153 | − | 0.844153i | 0.145243 | − | 0.989396i | \(-0.453604\pi\) |
−0.989396 | + | 0.145243i | \(0.953604\pi\) | |||||||
\(224\) | −13.8683 | − | 5.62753i | −0.926618 | − | 0.376005i | ||||
\(225\) | −10.8768 | + | 9.02441i | −0.725118 | + | 0.601628i | ||||
\(226\) | −8.15175 | − | 7.73957i | −0.542246 | − | 0.514828i | ||||
\(227\) | 10.1432 | + | 2.71787i | 0.673230 | + | 0.180392i | 0.579210 | − | 0.815179i | \(-0.303361\pi\) |
0.0940208 | + | 0.995570i | \(0.470028\pi\) | |||||||
\(228\) | 3.60943 | + | 3.25320i | 0.239041 | + | 0.215448i | ||||
\(229\) | −23.5981 | − | 13.6244i | −1.55941 | − | 0.900324i | −0.997314 | − | 0.0732513i | \(-0.976662\pi\) |
−0.562094 | − | 0.827073i | \(-0.690004\pi\) | |||||||
\(230\) | 6.84734 | − | 8.55513i | 0.451500 | − | 0.564109i | ||||
\(231\) | −0.893620 | − | 0.231361i | −0.0587959 | − | 0.0152225i | ||||
\(232\) | −14.1042 | + | 1.09946i | −0.925986 | + | 0.0721830i | ||||
\(233\) | −3.39933 | − | 12.6865i | −0.222697 | − | 0.831118i | −0.983314 | − | 0.181917i | \(-0.941770\pi\) |
0.760617 | − | 0.649201i | \(-0.224897\pi\) | |||||||
\(234\) | −1.86682 | − | 6.30804i | −0.122038 | − | 0.412370i | ||||
\(235\) | −7.88965 | + | 9.34977i | −0.514664 | + | 0.609912i | ||||
\(236\) | 9.72925 | + | 14.9980i | 0.633320 | + | 0.976288i | ||||
\(237\) | 3.12526 | + | 3.12526i | 0.203007 | + | 0.203007i | ||||
\(238\) | −13.0800 | + | 14.0121i | −0.847853 | + | 0.908271i | ||||
\(239\) | −10.7078 | −0.692631 | −0.346315 | − | 0.938118i | \(-0.612567\pi\) | ||||
−0.346315 | + | 0.938118i | \(0.612567\pi\) | |||||||
\(240\) | 3.35353 | − | 1.62003i | 0.216469 | − | 0.104572i | ||||
\(241\) | −6.28701 | − | 10.8894i | −0.404982 | − | 0.701449i | 0.589337 | − | 0.807887i | \(-0.299389\pi\) |
−0.994319 | + | 0.106438i | \(0.966056\pi\) | |||||||
\(242\) | −12.7969 | − | 6.95227i | −0.822616 | − | 0.446909i | ||||
\(243\) | 10.0348 | − | 2.68881i | 0.643732 | − | 0.172487i | ||||
\(244\) | −1.67118 | + | 3.27586i | −0.106987 | + | 0.209716i | ||||
\(245\) | 6.41370 | − | 14.2781i | 0.409756 | − | 0.912195i | ||||
\(246\) | 0.0548738 | + | 0.0131884i | 0.00349863 | + | 0.000840864i | ||||
\(247\) | 2.48523 | + | 9.27501i | 0.158132 | + | 0.590155i | ||||
\(248\) | −12.9955 | − | 18.9387i | −0.825212 | − | 1.20261i | ||||
\(249\) | −2.22772 | + | 1.28618i | −0.141176 | + | 0.0815080i | ||||
\(250\) | −4.36069 | − | 15.1982i | −0.275794 | − | 0.961217i | ||||
\(251\) | 14.8357i | 0.936420i | 0.883617 | + | 0.468210i | \(0.155101\pi\) | ||||
−0.883617 | + | 0.468210i | \(0.844899\pi\) | |||||||
\(252\) | 12.4788 | − | 8.24582i | 0.786089 | − | 0.519438i | ||||
\(253\) | 2.05307 | − | 2.05307i | 0.129075 | − | 0.129075i | ||||
\(254\) | 6.59403 | + | 6.26061i | 0.413746 | + | 0.392826i | ||||
\(255\) | −0.402552 | − | 4.75289i | −0.0252088 | − | 0.297637i | ||||
\(256\) | 15.6569 | − | 3.29550i | 0.978559 | − | 0.205969i | ||||
\(257\) | −14.6681 | + | 3.93031i | −0.914972 | + | 0.245166i | −0.685435 | − | 0.728134i | \(-0.740388\pi\) |
−0.229537 | + | 0.973300i | \(0.573721\pi\) | |||||||
\(258\) | 2.12246 | + | 3.46547i | 0.132139 | + | 0.215751i | ||||
\(259\) | −0.488397 | + | 1.88641i | −0.0303475 | + | 0.117216i | ||||
\(260\) | 7.30185 | + | 0.920788i | 0.452842 | + | 0.0571049i | ||||
\(261\) | 7.06897 | − | 12.2438i | 0.437558 | − | 0.757873i | ||||
\(262\) | 9.31917 | − | 17.1536i | 0.575740 | − | 1.05975i | ||||
\(263\) | 3.03340 | − | 11.3208i | 0.187048 | − | 0.698072i | −0.807135 | − | 0.590367i | \(-0.798983\pi\) |
0.994183 | − | 0.107705i | \(-0.0343502\pi\) | |||||||
\(264\) | 0.930462 | − | 0.328714i | 0.0572659 | − | 0.0202310i | ||||
\(265\) | −10.0708 | − | 27.9098i | −0.618645 | − | 1.71448i | ||||
\(266\) | −18.5204 | + | 11.5596i | −1.13556 | + | 0.708763i | ||||
\(267\) | 0.851570 | − | 0.851570i | 0.0521153 | − | 0.0521153i | ||||
\(268\) | 1.04400 | + | 0.222452i | 0.0637727 | + | 0.0135884i | ||||
\(269\) | −17.9195 | + | 10.3458i | −1.09257 | + | 0.630797i | −0.934260 | − | 0.356592i | \(-0.883939\pi\) |
−0.158313 | + | 0.987389i | \(0.550605\pi\) | |||||||
\(270\) | −1.15693 | + | 7.58446i | −0.0704087 | + | 0.461576i | ||||
\(271\) | −18.2735 | − | 10.5502i | −1.11003 | − | 0.640878i | −0.171195 | − | 0.985237i | \(-0.554763\pi\) |
−0.938838 | + | 0.344359i | \(0.888096\pi\) | |||||||
\(272\) | 3.22573 | − | 20.2364i | 0.195588 | − | 1.22701i | ||||
\(273\) | −1.81293 | + | 0.0153356i | −0.109723 | + | 0.000928151i | ||||
\(274\) | 19.7764 | + | 4.75309i | 1.19474 | + | 0.287145i | ||||
\(275\) | −0.704611 | − | 4.12979i | −0.0424896 | − | 0.249036i | ||||
\(276\) | −0.149599 | − | 2.88189i | −0.00900480 | − | 0.173469i | ||||
\(277\) | −0.846505 | + | 3.15920i | −0.0508616 | + | 0.189818i | −0.986683 | − | 0.162658i | \(-0.947993\pi\) |
0.935821 | + | 0.352476i | \(0.114660\pi\) | |||||||
\(278\) | 0.0533953 | + | 2.05861i | 0.00320244 | + | 0.123467i | ||||
\(279\) | 22.9539 | 1.37421 | ||||||||
\(280\) | 2.84331 | + | 16.4899i | 0.169920 | + | 0.985458i | ||||
\(281\) | 2.60091 | 0.155157 | 0.0775787 | − | 0.996986i | \(-0.475281\pi\) | ||||
0.0775787 | + | 0.996986i | \(0.475281\pi\) | |||||||
\(282\) | 0.0835364 | + | 3.22068i | 0.00497452 | + | 0.191788i | ||||
\(283\) | −7.17330 | + | 26.7711i | −0.426409 | + | 1.59138i | 0.334419 | + | 0.942424i | \(0.391460\pi\) |
−0.760828 | + | 0.648954i | \(0.775207\pi\) | |||||||
\(284\) | −1.41518 | − | 27.2622i | −0.0839755 | − | 1.61771i | ||||
\(285\) | 0.958203 | − | 5.34752i | 0.0567590 | − | 0.316760i | ||||
\(286\) | 1.89607 | + | 0.455703i | 0.112117 | + | 0.0269463i | ||||
\(287\) | −0.124921 | + | 0.220659i | −0.00737384 | + | 0.0130251i | ||||
\(288\) | −6.13735 | + | 14.7650i | −0.361647 | + | 0.870036i | ||||
\(289\) | −8.00623 | − | 4.62240i | −0.470955 | − | 0.271906i | ||||
\(290\) | 9.36976 | + | 12.7428i | 0.550211 | + | 0.748284i | ||||
\(291\) | 2.16465 | − | 1.24976i | 0.126894 | − | 0.0732622i | ||||
\(292\) | 11.7201 | + | 2.49726i | 0.685867 | + | 0.146141i | ||||
\(293\) | 11.9223 | − | 11.9223i | 0.696506 | − | 0.696506i | −0.267149 | − | 0.963655i | \(-0.586082\pi\) |
0.963655 | + | 0.267149i | \(0.0860815\pi\) | |||||||
\(294\) | −1.23645 | − | 3.93227i | −0.0721113 | − | 0.229334i | ||||
\(295\) | 8.49725 | − | 18.0913i | 0.494729 | − | 1.05332i | ||||
\(296\) | −0.693906 | − | 1.96418i | −0.0403325 | − | 0.114166i | ||||
\(297\) | −0.526145 | + | 1.96360i | −0.0305300 | + | 0.113940i | ||||
\(298\) | −7.80696 | + | 14.3701i | −0.452245 | + | 0.832439i | ||||
\(299\) | 2.85130 | − | 4.93859i | 0.164895 | − | 0.285606i | ||||
\(300\) | −3.51782 | − | 2.22783i | −0.203101 | − | 0.128624i | ||||
\(301\) | −17.5956 | + | 4.87462i | −1.01419 | + | 0.280968i | ||||
\(302\) | −3.55722 | − | 5.80810i | −0.204695 | − | 0.334218i | ||||
\(303\) | −0.691707 | + | 0.185342i | −0.0397376 | + | 0.0106476i | ||||
\(304\) | 9.51409 | − | 21.3120i | 0.545670 | − | 1.22233i | ||||
\(305\) | 4.09692 | − | 0.346994i | 0.234589 | − | 0.0198688i | ||||
\(306\) | 14.8513 | + | 14.1003i | 0.848990 | + | 0.806062i | ||||
\(307\) | 13.0364 | − | 13.0364i | 0.744028 | − | 0.744028i | −0.229323 | − | 0.973350i | \(-0.573651\pi\) |
0.973350 | + | 0.229323i | \(0.0736511\pi\) | |||||||
\(308\) | 0.267290 | + | 4.42566i | 0.0152303 | + | 0.252175i | ||||
\(309\) | − | 6.54063i | − | 0.372083i | ||||||
\(310\) | −10.3108 | + | 23.5188i | −0.585615 | + | 1.33578i | ||||
\(311\) | −10.1447 | + | 5.85707i | −0.575255 | + | 0.332124i | −0.759246 | − | 0.650804i | \(-0.774432\pi\) |
0.183990 | + | 0.982928i | \(0.441099\pi\) | |||||||
\(312\) | 1.59811 | − | 1.09660i | 0.0904754 | − | 0.0620829i | ||||
\(313\) | 4.94295 | + | 18.4473i | 0.279392 | + | 1.04270i | 0.952841 | + | 0.303471i | \(0.0981455\pi\) |
−0.673449 | + | 0.739234i | \(0.735188\pi\) | |||||||
\(314\) | −5.86721 | − | 1.41013i | −0.331106 | − | 0.0795783i | ||||
\(315\) | −15.1957 | − | 6.98093i | −0.856179 | − | 0.393331i | ||||
\(316\) | 9.64711 | − | 18.9103i | 0.542693 | − | 1.06379i | ||||
\(317\) | 2.78952 | − | 0.747448i | 0.156675 | − | 0.0419809i | −0.179629 | − | 0.983734i | \(-0.557490\pi\) |
0.336304 | + | 0.941754i | \(0.390823\pi\) | |||||||
\(318\) | −6.86605 | − | 3.73017i | −0.385029 | − | 0.209178i | ||||
\(319\) | 2.09546 | + | 3.62944i | 0.117323 | + | 0.203209i | ||||
\(320\) | −12.3715 | − | 12.9208i | −0.691587 | − | 0.722293i | ||||
\(321\) | −5.79221 | −0.323290 | ||||||||
\(322\) | 12.6318 | + | 2.92315i | 0.703942 | + | 0.162901i | ||||
\(323\) | −21.1365 | − | 21.1365i | −1.17607 | − | 1.17607i | ||||
\(324\) | −8.13027 | − | 12.5331i | −0.451682 | − | 0.696285i | ||||
\(325\) | −3.43607 | − | 7.47660i | −0.190599 | − | 0.414727i | ||||
\(326\) | −3.26324 | − | 11.0266i | −0.180734 | − | 0.610705i | ||||
\(327\) | −1.14915 | − | 4.28869i | −0.0635482 | − | 0.237165i | ||||
\(328\) | −0.0210669 | − | 0.270253i | −0.00116323 | − | 0.0149222i | ||||
\(329\) | −14.0131 | − | 3.62805i | −0.772569 | − | 0.200021i | ||||
\(330\) | −0.861371 | − | 0.689423i | −0.0474169 | − | 0.0379515i | ||||
\(331\) | 30.1984 | + | 17.4351i | 1.65986 | + | 0.958318i | 0.972780 | + | 0.231732i | \(0.0744391\pi\) |
0.687075 | + | 0.726586i | \(0.258894\pi\) | |||||||
\(332\) | 9.17775 | + | 8.27194i | 0.503694 | + | 0.453982i | ||||
\(333\) | 2.01088 | + | 0.538813i | 0.110195 | + | 0.0295268i | ||||
\(334\) | −7.98665 | − | 7.58282i | −0.437010 | − | 0.414913i | ||||
\(335\) | −0.405069 | − | 1.12259i | −0.0221313 | − | 0.0613336i | ||||
\(336\) | 3.44525 | + | 2.74757i | 0.187954 | + | 0.149892i | ||||
\(337\) | 15.8847 | + | 15.8847i | 0.865292 | + | 0.865292i | 0.991947 | − | 0.126655i | \(-0.0404240\pi\) |
−0.126655 | + | 0.991947i | \(0.540424\pi\) | |||||||
\(338\) | −14.5498 | + | 0.377387i | −0.791407 | + | 0.0205272i | ||||
\(339\) | 1.65481 | + | 2.86622i | 0.0898771 | + | 0.155672i | ||||
\(340\) | −21.1185 | + | 8.88292i | −1.14531 | + | 0.481744i | ||||
\(341\) | −3.40211 | + | 5.89263i | −0.184235 | + | 0.319104i | ||||
\(342\) | 12.1820 | + | 19.8903i | 0.658726 | + | 1.07554i | ||||
\(343\) | 18.5143 | − | 0.469928i | 0.999678 | − | 0.0253737i | ||||
\(344\) | 12.6876 | − | 14.8329i | 0.684071 | − | 0.799738i | ||||
\(345\) | −2.64802 | + | 1.84325i | −0.142565 | + | 0.0992372i | ||||
\(346\) | 4.24585 | − | 1.25653i | 0.228258 | − | 0.0675516i | ||||
\(347\) | 23.1956 | + | 6.21524i | 1.24520 | + | 0.333651i | 0.820482 | − | 0.571673i | \(-0.193705\pi\) |
0.424722 | + | 0.905324i | \(0.360372\pi\) | |||||||
\(348\) | 4.07390 | + | 0.868049i | 0.218384 | + | 0.0465323i | ||||
\(349\) | 20.0084i | 1.07102i | 0.844528 | + | 0.535512i | \(0.179881\pi\) | ||||
−0.844528 | + | 0.535512i | \(0.820119\pi\) | |||||||
\(350\) | 13.9786 | − | 12.4338i | 0.747186 | − | 0.664615i | ||||
\(351\) | 3.99267i | 0.213113i | ||||||||
\(352\) | −2.88077 | − | 3.76395i | −0.153545 | − | 0.200619i | ||||
\(353\) | 22.6305 | + | 6.06381i | 1.20450 | + | 0.322744i | 0.804601 | − | 0.593816i | \(-0.202379\pi\) |
0.399897 | + | 0.916560i | \(0.369046\pi\) | |||||||
\(354\) | −1.49372 | − | 5.04731i | −0.0793902 | − | 0.268261i | ||||
\(355\) | −25.0498 | + | 17.4368i | −1.32951 | + | 0.925450i | ||||
\(356\) | −5.15268 | − | 2.62865i | −0.273092 | − | 0.139318i | ||||
\(357\) | 4.86365 | − | 2.86316i | 0.257412 | − | 0.151534i | ||||
\(358\) | 19.4227 | − | 11.8956i | 1.02652 | − | 0.628704i | ||||
\(359\) | 13.4523 | − | 23.3000i | 0.709984 | − | 1.22973i | −0.254878 | − | 0.966973i | \(-0.582035\pi\) |
0.964862 | − | 0.262756i | \(-0.0846313\pi\) | |||||||
\(360\) | 17.6422 | − | 2.88855i | 0.929825 | − | 0.152240i | ||||
\(361\) | −7.52251 | − | 13.0294i | −0.395922 | − | 0.685756i | ||||
\(362\) | −0.140536 | − | 5.41824i | −0.00738639 | − | 0.284776i | ||||
\(363\) | 3.03206 | + | 3.03206i | 0.159142 | + | 0.159142i | ||||
\(364\) | 2.75681 | + | 8.26020i | 0.144496 | + | 0.432952i | ||||
\(365\) | −4.54734 | − | 12.6023i | −0.238019 | − | 0.659634i | ||||
\(366\) | 0.745536 | − | 0.785240i | 0.0389698 | − | 0.0410452i | ||||
\(367\) | −26.4682 | − | 7.09214i | −1.38163 | − | 0.370207i | −0.509917 | − | 0.860223i | \(-0.670324\pi\) |
−0.871713 | + | 0.490017i | \(0.836991\pi\) | |||||||
\(368\) | −12.9451 | + | 4.95442i | −0.674811 | + | 0.258267i | ||||
\(369\) | 0.234606 | + | 0.135450i | 0.0122131 | + | 0.00705123i | ||||
\(370\) | −1.45535 | + | 1.81833i | −0.0756602 | + | 0.0945305i | ||||
\(371\) | 24.6138 | − | 25.0337i | 1.27788 | − | 1.29969i | ||||
\(372\) | 2.08661 | + | 6.43278i | 0.108186 | + | 0.333524i | ||||
\(373\) | 5.67531 | + | 21.1806i | 0.293857 | + | 1.09669i | 0.942121 | + | 0.335272i | \(0.108828\pi\) |
−0.648265 | + | 0.761415i | \(0.724505\pi\) | |||||||
\(374\) | −5.82096 | + | 1.72268i | −0.300995 | + | 0.0890775i | ||||
\(375\) | −0.0387116 | + | 4.65525i | −0.00199906 | + | 0.240396i | ||||
\(376\) | 14.5909 | − | 5.15467i | 0.752466 | − | 0.265832i | ||||
\(377\) | 5.82033 | + | 5.82033i | 0.299762 | + | 0.299762i | ||||
\(378\) | −8.68257 | + | 2.64963i | −0.446583 | + | 0.136282i | ||||
\(379\) | −20.4602 | −1.05097 | −0.525484 | − | 0.850803i | \(-0.676116\pi\) | ||||
−0.525484 | + | 0.850803i | \(0.676116\pi\) | |||||||
\(380\) | −25.8519 | + | 3.54712i | −1.32617 | + | 0.181963i | ||||
\(381\) | −1.33859 | − | 2.31851i | −0.0685783 | − | 0.118781i | ||||
\(382\) | 1.89066 | − | 3.48010i | 0.0967345 | − | 0.178057i | ||||
\(383\) | 7.01910 | − | 1.88076i | 0.358659 | − | 0.0961024i | −0.0749899 | − | 0.997184i | \(-0.523892\pi\) |
0.433649 | + | 0.901082i | \(0.357226\pi\) | |||||||
\(384\) | −4.69577 | − | 0.377776i | −0.239630 | − | 0.0192783i | ||||
\(385\) | 4.04434 | − | 2.86629i | 0.206119 | − | 0.146080i | ||||
\(386\) | −2.85817 | + | 11.8921i | −0.145477 | + | 0.605294i | ||||
\(387\) | 5.04866 | + | 18.8418i | 0.256638 | + | 0.957785i | ||||
\(388\) | −8.91790 | − | 8.03773i | −0.452738 | − | 0.408054i | ||||
\(389\) | −4.81003 | + | 2.77707i | −0.243878 | + | 0.140803i | −0.616958 | − | 0.786996i | \(-0.711635\pi\) |
0.373080 | + | 0.927799i | \(0.378302\pi\) | |||||||
\(390\) | −1.98460 | − | 0.870063i | −0.100494 | − | 0.0440574i | ||||
\(391\) | 17.7521i | 0.897764i | ||||||||
\(392\) | −16.1334 | + | 11.4767i | −0.814858 | + | 0.579660i | ||||
\(393\) | −4.06433 | + | 4.06433i | −0.205018 | + | 0.205018i | ||||
\(394\) | 6.74864 | − | 7.10805i | 0.339992 | − | 0.358098i | ||||
\(395\) | −23.6500 | + | 2.00306i | −1.18996 | + | 0.100785i | ||||
\(396\) | 4.73044 | − | 0.245557i | 0.237714 | − | 0.0123397i | ||||
\(397\) | 29.0677 | − | 7.78865i | 1.45886 | − | 0.390901i | 0.559766 | − | 0.828650i | \(-0.310891\pi\) |
0.899097 | + | 0.437749i | \(0.144224\pi\) | |||||||
\(398\) | −14.9510 | + | 9.15687i | −0.749425 | + | 0.458992i | ||||
\(399\) | 6.19472 | − | 1.71616i | 0.310124 | − | 0.0859155i | ||||
\(400\) | −4.96518 | + | 19.3739i | −0.248259 | + | 0.968694i | ||||
\(401\) | 2.31962 | − | 4.01770i | 0.115836 | − | 0.200634i | −0.802277 | − | 0.596951i | \(-0.796379\pi\) |
0.918114 | + | 0.396317i | \(0.129712\pi\) | |||||||
\(402\) | −0.276167 | − | 0.150035i | −0.0137740 | − | 0.00748308i | ||||
\(403\) | −3.45883 | + | 12.9085i | −0.172297 | + | 0.643020i | ||||
\(404\) | 1.87190 | + | 2.88560i | 0.0931304 | + | 0.143564i | ||||
\(405\) | −7.10074 | + | 15.1180i | −0.352839 | + | 0.751222i | ||||
\(406\) | −8.79455 | + | 16.5196i | −0.436466 | + | 0.819853i | ||||
\(407\) | −0.436364 | + | 0.436364i | −0.0216298 | + | 0.0216298i | ||||
\(408\) | −2.60155 | + | 5.44382i | −0.128796 | + | 0.269509i | ||||
\(409\) | 30.0868 | − | 17.3706i | 1.48770 | − | 0.858922i | 0.487795 | − | 0.872958i | \(-0.337801\pi\) |
0.999901 | + | 0.0140366i | \(0.00446813\pi\) | |||||||
\(410\) | −0.244167 | + | 0.179536i | −0.0120586 | + | 0.00886664i | ||||
\(411\) | −5.18634 | − | 2.99434i | −0.255823 | − | 0.147700i | ||||
\(412\) | −29.8829 | + | 9.69314i | −1.47222 | + | 0.477547i | ||||
\(413\) | 23.6486 | − | 0.200044i | 1.16367 | − | 0.00984353i | ||||
\(414\) | 3.23702 | − | 13.4684i | 0.159091 | − | 0.661936i | ||||
\(415\) | 2.43643 | − | 13.5972i | 0.119600 | − | 0.667460i | ||||
\(416\) | −7.37856 | − | 5.67633i | −0.361764 | − | 0.278305i | ||||
\(417\) | 0.156930 | − | 0.585669i | 0.00768487 | − | 0.0286803i | ||||
\(418\) | −6.91170 | + | 0.179273i | −0.338062 | + | 0.00876851i | ||||
\(419\) | −28.1311 | −1.37429 | −0.687147 | − | 0.726518i | \(-0.741137\pi\) | ||||
−0.687147 | + | 0.726518i | \(0.741137\pi\) | |||||||
\(420\) | 0.575039 | − | 4.89315i | 0.0280590 | − | 0.238761i | ||||
\(421\) | 3.94616 | 0.192324 | 0.0961621 | − | 0.995366i | \(-0.469343\pi\) | ||||
0.0961621 | + | 0.995366i | \(0.469343\pi\) | |||||||
\(422\) | 1.24047 | − | 0.0321747i | 0.0603850 | − | 0.00156624i | ||||
\(423\) | −4.00256 | + | 14.9378i | −0.194611 | + | 0.726299i | ||||
\(424\) | −6.86702 | + | 36.8978i | −0.333492 | + | 1.79191i | ||||
\(425\) | 20.9007 | + | 14.8082i | 1.01383 | + | 0.718301i | ||||
\(426\) | −1.87831 | + | 7.81518i | −0.0910044 | + | 0.378647i | ||||
\(427\) | 2.46800 | + | 4.19240i | 0.119435 | + | 0.202884i | ||||
\(428\) | 8.58400 | + | 26.4635i | 0.414923 | + | 1.27916i | ||||
\(429\) | −0.497241 | − | 0.287082i | −0.0240070 | − | 0.0138605i | ||||
\(430\) | −21.5734 | − | 3.29080i | −1.04036 | − | 0.158696i | ||||
\(431\) | −12.1350 | + | 7.00616i | −0.584523 | + | 0.337475i | −0.762929 | − | 0.646482i | \(-0.776239\pi\) |
0.178406 | + | 0.983957i | \(0.442906\pi\) | |||||||
\(432\) | 6.11482 | − | 7.53586i | 0.294199 | − | 0.362569i | ||||
\(433\) | −2.21951 | + | 2.21951i | −0.106663 | + | 0.106663i | −0.758424 | − | 0.651761i | \(-0.774030\pi\) |
0.651761 | + | 0.758424i | \(0.274030\pi\) | |||||||
\(434\) | −30.3666 | + | 1.04474i | −1.45764 | + | 0.0501490i | ||||
\(435\) | −1.58066 | − | 4.38056i | −0.0757866 | − | 0.210032i | ||||
\(436\) | −17.8912 | + | 11.6061i | −0.856833 | + | 0.555829i | ||||
\(437\) | −5.23301 | + | 19.5299i | −0.250329 | + | 0.934240i | ||||
\(438\) | −3.10028 | − | 1.68431i | −0.148137 | − | 0.0804795i | ||||
\(439\) | 12.5163 | − | 21.6788i | 0.597369 | − | 1.03467i | −0.395839 | − | 0.918320i | \(-0.629546\pi\) |
0.993208 | − | 0.116354i | \(-0.0371206\pi\) | |||||||
\(440\) | −1.87330 | + | 4.95716i | −0.0893061 | + | 0.236323i | ||||
\(441\) | −0.334721 | − | 19.7835i | −0.0159391 | − | 0.942071i | ||||
\(442\) | −10.1675 | + | 6.22715i | −0.483617 | + | 0.296196i | ||||
\(443\) | 4.25262 | − | 1.13949i | 0.202048 | − | 0.0541386i | −0.156376 | − | 0.987698i | \(-0.549981\pi\) |
0.358424 | + | 0.933559i | \(0.383314\pi\) | |||||||
\(444\) | 0.0317962 | + | 0.612525i | 0.00150898 | + | 0.0290691i | ||||
\(445\) | 0.545795 | + | 6.44414i | 0.0258732 | + | 0.305482i | ||||
\(446\) | 17.3592 | − | 18.2837i | 0.821982 | − | 0.865758i | ||||
\(447\) | 3.40482 | − | 3.40482i | 0.161042 | − | 0.161042i | ||||
\(448\) | 7.44732 | − | 19.8126i | 0.351853 | − | 0.936055i | ||||
\(449\) | 24.2255i | 1.14327i | 0.820507 | + | 0.571636i | \(0.193691\pi\) | ||||
−0.820507 | + | 0.571636i | \(0.806309\pi\) | |||||||
\(450\) | −13.1570 | − | 15.0460i | −0.620227 | − | 0.709274i | ||||
\(451\) | −0.0695443 | + | 0.0401514i | −0.00327471 | + | 0.00189066i | ||||
\(452\) | 10.6428 | − | 11.8082i | 0.500595 | − | 0.555413i | ||||
\(453\) | 0.519023 | + | 1.93702i | 0.0243858 | + | 0.0910091i | ||||
\(454\) | −3.47042 | + | 14.4395i | −0.162875 | + | 0.677681i | ||||
\(455\) | 6.21563 | − | 7.49363i | 0.291393 | − | 0.351307i | ||||
\(456\) | −4.46681 | + | 5.22209i | −0.209178 | + | 0.244547i | ||||
\(457\) | 9.04568 | − | 2.42378i | 0.423139 | − | 0.113380i | −0.0409647 | − | 0.999161i | \(-0.513043\pi\) |
0.464104 | + | 0.885781i | \(0.346376\pi\) | |||||||
\(458\) | 18.3960 | − | 33.8612i | 0.859588 | − | 1.58223i | ||||
\(459\) | −6.21457 | − | 10.7640i | −0.290071 | − | 0.502418i | ||||
\(460\) | 12.3458 | + | 9.36664i | 0.575626 | + | 0.436722i | ||||
\(461\) | 12.3582 | 0.575580 | 0.287790 | − | 0.957693i | \(-0.407079\pi\) | ||||
0.287790 | + | 0.957693i | \(0.407079\pi\) | |||||||
\(462\) | 0.294316 | − | 1.27183i | 0.0136928 | − | 0.0591708i | ||||
\(463\) | −29.6788 | − | 29.6788i | −1.37929 | − | 1.37929i | −0.845818 | − | 0.533471i | \(-0.820887\pi\) |
−0.533471 | − | 0.845818i | \(-0.679113\pi\) | |||||||
\(464\) | −2.07153 | − | 19.8993i | −0.0961684 | − | 0.923803i | ||||
\(465\) | 4.87613 | − | 5.77855i | 0.226125 | − | 0.267974i | ||||
\(466\) | 17.8107 | − | 5.27096i | 0.825064 | − | 0.244172i | ||||
\(467\) | 9.36749 | + | 34.9600i | 0.433476 | + | 1.61775i | 0.744687 | + | 0.667413i | \(0.232599\pi\) |
−0.311212 | + | 0.950341i | \(0.600735\pi\) | |||||||
\(468\) | 8.84947 | − | 2.87051i | 0.409067 | − | 0.132689i | ||||
\(469\) | 0.990018 | − | 1.00691i | 0.0457148 | − | 0.0464948i | ||||
\(470\) | −13.5074 | − | 10.8111i | −0.623051 | − | 0.498677i | ||||
\(471\) | 1.53867 | + | 0.888349i | 0.0708980 | + | 0.0409330i | ||||
\(472\) | −20.8465 | + | 14.3046i | −0.959539 | + | 0.658421i | ||||
\(473\) | −5.58529 | − | 1.49657i | −0.256812 | − | 0.0688125i | ||||
\(474\) | −4.30370 | + | 4.53290i | −0.197675 | + | 0.208203i | ||||
\(475\) | 18.6285 | + | 22.4522i | 0.854736 | + | 1.03018i | ||||
\(476\) | −20.2891 | − | 17.9779i | −0.929950 | − | 0.824018i | ||||
\(477\) | −26.5217 | − | 26.5217i | −1.21434 | − | 1.21434i | ||||
\(478\) | −0.392644 | − | 15.1380i | −0.0179591 | − | 0.692398i | ||||
\(479\) | 15.9325 | + | 27.5959i | 0.727974 | + | 1.26089i | 0.957738 | + | 0.287642i | \(0.0928714\pi\) |
−0.229764 | + | 0.973246i | \(0.573795\pi\) | |||||||
\(480\) | 2.41326 | + | 4.68161i | 0.110150 | + | 0.213685i | ||||
\(481\) | −0.606023 | + | 1.04966i | −0.0276323 | + | 0.0478605i | ||||
\(482\) | 15.1643 | − | 9.28749i | 0.690713 | − | 0.423034i | ||||
\(483\) | −3.32209 | − | 1.88072i | −0.151160 | − | 0.0855759i | ||||
\(484\) | 9.35944 | − | 18.3464i | 0.425429 | − | 0.833928i | ||||
\(485\) | −2.36745 | + | 13.2122i | −0.107500 | + | 0.599936i | ||||
\(486\) | 4.16924 | + | 14.0880i | 0.189121 | + | 0.639043i | ||||
\(487\) | −9.64618 | − | 2.58469i | −0.437110 | − | 0.117123i | 0.0335518 | − | 0.999437i | \(-0.489318\pi\) |
−0.470662 | + | 0.882314i | \(0.655985\pi\) | |||||||
\(488\) | −4.69249 | − | 2.24249i | −0.212419 | − | 0.101513i | ||||
\(489\) | 3.38579i | 0.153111i | ||||||||
\(490\) | 20.4207 | + | 8.54372i | 0.922513 | + | 0.385966i | ||||
\(491\) | 16.3501i | 0.737871i | 0.929455 | + | 0.368936i | \(0.120278\pi\) | ||||
−0.929455 | + | 0.368936i | \(0.879722\pi\) | |||||||
\(492\) | −0.0166328 | + | 0.0780608i | −0.000749866 | + | 0.00351925i | ||||
\(493\) | −24.7505 | − | 6.63188i | −1.11471 | − | 0.298685i | ||||
\(494\) | −13.0213 | + | 3.85357i | −0.585856 | + | 0.173380i | ||||
\(495\) | −3.02558 | − | 4.34657i | −0.135990 | − | 0.195364i | ||||
\(496\) | 26.2978 | − | 19.0666i | 1.18081 | − | 0.856117i | ||||
\(497\) | −31.4264 | − | 17.7913i | −1.40967 | − | 0.798050i | ||||
\(498\) | −1.90000 | − | 3.10225i | −0.0851412 | − | 0.139015i | ||||
\(499\) | 4.74809 | − | 8.22393i | 0.212554 | − | 0.368154i | −0.739959 | − | 0.672652i | \(-0.765155\pi\) |
0.952513 | + | 0.304498i | \(0.0984886\pi\) | |||||||
\(500\) | 21.3263 | − | 6.72217i | 0.953743 | − | 0.300624i | ||||
\(501\) | 1.62130 | + | 2.80817i | 0.0724343 | + | 0.125460i | ||||
\(502\) | −20.9738 | + | 0.544008i | −0.936105 | + | 0.0242803i | ||||
\(503\) | 9.76866 | + | 9.76866i | 0.435563 | + | 0.435563i | 0.890516 | − | 0.454953i | \(-0.150344\pi\) |
−0.454953 | + | 0.890516i | \(0.650344\pi\) | |||||||
\(504\) | 12.1150 | + | 17.3394i | 0.539645 | + | 0.772356i | ||||
\(505\) | 1.63486 | − | 3.48075i | 0.0727504 | − | 0.154891i | ||||
\(506\) | 2.97778 | + | 2.82722i | 0.132379 | + | 0.125685i | ||||
\(507\) | 4.13939 | + | 1.10915i | 0.183837 | + | 0.0492589i | ||||
\(508\) | −8.60906 | + | 9.55180i | −0.381965 | + | 0.423792i | ||||
\(509\) | 17.0075 | + | 9.81931i | 0.753846 | + | 0.435233i | 0.827082 | − | 0.562082i | \(-0.189999\pi\) |
−0.0732360 | + | 0.997315i | \(0.523333\pi\) | |||||||
\(510\) | 6.70458 | − | 0.743386i | 0.296884 | − | 0.0329177i | ||||
\(511\) | 11.1140 | − | 11.3037i | 0.491656 | − | 0.500045i | ||||
\(512\) | 5.23310 | + | 22.0140i | 0.231273 | + | 0.972889i | ||||
\(513\) | −3.66389 | − | 13.6738i | −0.161765 | − | 0.603714i | ||||
\(514\) | −6.09429 | − | 20.5928i | −0.268808 | − | 0.908308i | ||||
\(515\) | 26.8437 | + | 22.6516i | 1.18287 | + | 0.998150i | ||||
\(516\) | −4.82144 | + | 3.12768i | −0.212252 | + | 0.137688i | ||||
\(517\) | −3.24152 | − | 3.24152i | −0.142562 | − | 0.142562i | ||||
\(518\) | −2.68480 | − | 0.621293i | −0.117963 | − | 0.0272981i | ||||
\(519\) | −1.30372 | −0.0572269 | ||||||||
\(520\) | −1.03400 | + | 10.3567i | −0.0453440 | + | 0.454170i | ||||
\(521\) | 21.2862 | + | 36.8688i | 0.932565 | + | 1.61525i | 0.778920 | + | 0.627124i | \(0.215768\pi\) |
0.153645 | + | 0.988126i | \(0.450899\pi\) | |||||||
\(522\) | 17.5688 | + | 9.54470i | 0.768964 | + | 0.417760i | ||||
\(523\) | 1.97787 | − | 0.529969i | 0.0864862 | − | 0.0231739i | −0.215316 | − | 0.976544i | \(-0.569078\pi\) |
0.301803 | + | 0.953370i | \(0.402412\pi\) | |||||||
\(524\) | 24.5925 | + | 12.5459i | 1.07433 | + | 0.548069i | ||||
\(525\) | −4.98546 | + | 2.34248i | −0.217583 | + | 0.102234i | ||||
\(526\) | 16.1159 | + | 3.87332i | 0.702687 | + | 0.168885i | ||||
\(527\) | −10.7673 | − | 40.1842i | −0.469032 | − | 1.75045i | ||||
\(528\) | 0.498835 | + | 1.30338i | 0.0217090 | + | 0.0567221i | ||||
\(529\) | −9.51967 | + | 5.49618i | −0.413899 | + | 0.238964i | ||||
\(530\) | 39.0878 | − | 15.2609i | 1.69787 | − | 0.662891i | ||||
\(531\) | − | 25.2662i | − | 1.09646i | ||||||
\(532\) | −17.0213 | − | 25.7592i | −0.737968 | − | 1.11680i | ||||
\(533\) | −0.111524 | + | 0.111524i | −0.00483066 | + | 0.00483066i | ||||
\(534\) | 1.23512 | + | 1.17267i | 0.0534490 | + | 0.0507464i | ||||
\(535\) | 20.0597 | − | 23.7721i | 0.867257 | − | 1.02776i | ||||
\(536\) | −0.276206 | + | 1.48411i | −0.0119303 | + | 0.0641036i | ||||
\(537\) | −6.47754 | + | 1.73565i | −0.279527 | + | 0.0748989i | ||||
\(538\) | −15.2834 | − | 24.9542i | −0.658915 | − | 1.07585i | ||||
\(539\) | 5.12835 | + | 2.84628i | 0.220894 | + | 0.122598i | ||||
\(540\) | −10.7649 | − | 1.35749i | −0.463246 | − | 0.0584169i | ||||
\(541\) | −2.22119 | + | 3.84722i | −0.0954965 | + | 0.165405i | −0.909816 | − | 0.415012i | \(-0.863777\pi\) |
0.814319 | + | 0.580417i | \(0.197111\pi\) | |||||||
\(542\) | 14.2451 | − | 26.2207i | 0.611881 | − | 1.12628i | ||||
\(543\) | −0.413036 | + | 1.54147i | −0.0177251 | + | 0.0661509i | ||||
\(544\) | 28.7272 | + | 3.81829i | 1.23167 | + | 0.163708i | ||||
\(545\) | 21.5812 | + | 10.1364i | 0.924437 | + | 0.434196i | ||||
\(546\) | −0.0881585 | − | 2.56244i | −0.00377284 | − | 0.109662i | ||||
\(547\) | 13.7530 | − | 13.7530i | 0.588037 | − | 0.588037i | −0.349062 | − | 0.937099i | \(-0.613500\pi\) |
0.937099 | + | 0.349062i | \(0.113500\pi\) | |||||||
\(548\) | −5.99445 | + | 28.1330i | −0.256070 | + | 1.20178i | ||||
\(549\) | 4.50114 | − | 2.59873i | 0.192104 | − | 0.110911i | ||||
\(550\) | 5.81261 | − | 1.14757i | 0.247851 | − | 0.0489326i | ||||
\(551\) | −25.2741 | − | 14.5920i | −1.07671 | − | 0.621642i | ||||
\(552\) | 4.06875 | − | 0.317170i | 0.173178 | − | 0.0134996i | ||||
\(553\) | −14.2468 | − | 24.2011i | −0.605837 | − | 1.02914i | ||||
\(554\) | −4.49732 | − | 1.08089i | −0.191073 | − | 0.0459227i | ||||
\(555\) | 0.562818 | − | 0.391769i | 0.0238903 | − | 0.0166297i | ||||
\(556\) | −2.90838 | + | 0.150974i | −0.123343 | + | 0.00640272i | ||||
\(557\) | −3.23476 | + | 12.0723i | −0.137061 | + | 0.511519i | 0.862920 | + | 0.505341i | \(0.168633\pi\) |
−0.999981 | + | 0.00617797i | \(0.998033\pi\) | |||||||
\(558\) | 0.841694 | + | 32.4508i | 0.0356317 | + | 1.37375i | ||||
\(559\) | −11.3568 | −0.480342 | ||||||||
\(560\) | −23.2081 | + | 4.62436i | −0.980721 | + | 0.195415i | ||||
\(561\) | 1.78737 | 0.0754628 | ||||||||
\(562\) | 0.0953725 | + | 3.67701i | 0.00402305 | + | 0.155105i | ||||
\(563\) | 1.99709 | − | 7.45322i | 0.0841671 | − | 0.314116i | −0.910988 | − | 0.412433i | \(-0.864679\pi\) |
0.995155 | + | 0.0983168i | \(0.0313458\pi\) | |||||||
\(564\) | −4.55013 | + | 0.236197i | −0.191595 | + | 0.00994570i | ||||
\(565\) | −17.4944 | − | 3.13475i | −0.735994 | − | 0.131880i | ||||
\(566\) | −38.1104 | − | 9.15950i | −1.60190 | − | 0.385003i | ||||
\(567\) | −19.7620 | + | 0.167167i | −0.829928 | + | 0.00702037i | ||||
\(568\) | 38.4897 | − | 3.00037i | 1.61499 | − | 0.125893i | ||||
\(569\) | −22.8689 | − | 13.2033i | −0.958712 | − | 0.553513i | −0.0629358 | − | 0.998018i | \(-0.520046\pi\) |
−0.895776 | + | 0.444505i | \(0.853380\pi\) | |||||||
\(570\) | 7.59513 | + | 1.15856i | 0.318125 | + | 0.0485267i | ||||
\(571\) | −4.41042 | + | 2.54636i | −0.184570 | + | 0.106562i | −0.589438 | − | 0.807813i | \(-0.700651\pi\) |
0.404868 | + | 0.914375i | \(0.367318\pi\) | |||||||
\(572\) | −0.574718 | + | 2.69725i | −0.0240302 | + | 0.112778i | ||||
\(573\) | −0.824564 | + | 0.824564i | −0.0344467 | + | 0.0344467i | ||||
\(574\) | −0.316534 | − | 0.168514i | −0.0132119 | − | 0.00703364i | ||||
\(575\) | 1.60572 | − | 17.2515i | 0.0669633 | − | 0.719435i | ||||
\(576\) | −21.0989 | − | 8.13518i | −0.879121 | − | 0.338966i | ||||
\(577\) | 5.11195 | − | 19.0781i | 0.212813 | − | 0.794230i | −0.774111 | − | 0.633049i | \(-0.781803\pi\) |
0.986925 | − | 0.161181i | \(-0.0515303\pi\) | |||||||
\(578\) | 6.24128 | − | 11.4882i | 0.259603 | − | 0.477847i | ||||
\(579\) | 1.80058 | − | 3.11870i | 0.0748295 | − | 0.129609i | ||||
\(580\) | −17.6714 | + | 13.7137i | −0.733766 | + | 0.569428i | ||||
\(581\) | 15.7514 | − | 4.36370i | 0.653478 | − | 0.181037i | ||||
\(582\) | 1.84621 | + | 3.01442i | 0.0765278 | + | 0.124952i | ||||
\(583\) | 10.7395 | − | 2.87763i | 0.444783 | − | 0.119179i | ||||
\(584\) | −3.10071 | + | 16.6607i | −0.128308 | + | 0.689425i | ||||
\(585\) | −7.94945 | − | 6.70801i | −0.328669 | − | 0.277342i | ||||
\(586\) | 17.2921 | + | 16.4178i | 0.714332 | + | 0.678213i | ||||
\(587\) | −8.18830 | + | 8.18830i | −0.337967 | + | 0.337967i | −0.855602 | − | 0.517635i | \(-0.826813\pi\) |
0.517635 | + | 0.855602i | \(0.326813\pi\) | |||||||
\(588\) | 5.51385 | − | 1.89221i | 0.227388 | − | 0.0780334i | ||||
\(589\) | − | 47.3823i | − | 1.95235i | ||||||
\(590\) | 25.8880 | + | 11.3495i | 1.06579 | + | 0.467251i | ||||
\(591\) | −2.49925 | + | 1.44294i | −0.102805 | + | 0.0593547i | ||||
\(592\) | 2.75139 | − | 1.05303i | 0.113081 | − | 0.0432791i | ||||
\(593\) | −1.63207 | − | 6.09096i | −0.0670210 | − | 0.250126i | 0.924285 | − | 0.381703i | \(-0.124662\pi\) |
−0.991306 | + | 0.131578i | \(0.957996\pi\) | |||||||
\(594\) | −2.79531 | − | 0.671828i | −0.114693 | − | 0.0275654i | ||||
\(595\) | −5.09308 | + | 29.8769i | −0.208796 | + | 1.22483i | ||||
\(596\) | −20.6019 | − | 10.5101i | −0.843886 | − | 0.430509i | ||||
\(597\) | 4.98620 | − | 1.33605i | 0.204072 | − | 0.0546808i | ||||
\(598\) | 7.08643 | + | 3.84990i | 0.289786 | + | 0.157434i | ||||
\(599\) | 12.5631 | + | 21.7600i | 0.513315 | + | 0.889088i | 0.999881 | + | 0.0154439i | \(0.00491615\pi\) |
−0.486566 | + | 0.873644i | \(0.661751\pi\) | |||||||
\(600\) | 3.02058 | − | 5.05497i | 0.123315 | − | 0.206368i | ||||
\(601\) | −23.9702 | −0.977766 | −0.488883 | − | 0.872349i | \(-0.662595\pi\) | ||||
−0.488883 | + | 0.872349i | \(0.662595\pi\) | |||||||
\(602\) | −7.53665 | − | 24.6968i | −0.307171 | − | 1.00657i | ||||
\(603\) | −1.06676 | − | 1.06676i | −0.0434417 | − | 0.0434417i | ||||
\(604\) | 8.08069 | − | 5.24196i | 0.328799 | − | 0.213292i | ||||
\(605\) | −22.9447 | + | 1.94333i | −0.932836 | + | 0.0790077i | ||||
\(606\) | −0.287390 | − | 0.971097i | −0.0116744 | − | 0.0394481i | ||||
\(607\) | −0.531386 | − | 1.98316i | −0.0215683 | − | 0.0804940i | 0.954303 | − | 0.298841i | \(-0.0966001\pi\) |
−0.975871 | + | 0.218347i | \(0.929933\pi\) | |||||||
\(608\) | 30.4785 | + | 12.6689i | 1.23607 | + | 0.513793i | ||||
\(609\) | 3.86324 | − | 3.92915i | 0.156546 | − | 0.159217i | ||||
\(610\) | 0.640788 | + | 5.77925i | 0.0259447 | + | 0.233995i | ||||
\(611\) | −7.79739 | − | 4.50183i | −0.315449 | − | 0.182124i | ||||
\(612\) | −19.3896 | + | 21.5128i | −0.783778 | + | 0.869605i | ||||
\(613\) | −35.4100 | − | 9.48807i | −1.43020 | − | 0.383220i | −0.541106 | − | 0.840954i | \(-0.681994\pi\) |
−0.889089 | + | 0.457735i | \(0.848661\pi\) | |||||||
\(614\) | 18.9081 | + | 17.9521i | 0.763069 | + | 0.724486i | ||||
\(615\) | 0.0839366 | − | 0.0302872i | 0.00338465 | − | 0.00122130i | ||||
\(616\) | −6.24692 | + | 0.540162i | −0.251696 | + | 0.0217637i | ||||
\(617\) | 7.99905 | + | 7.99905i | 0.322029 | + | 0.322029i | 0.849545 | − | 0.527516i | \(-0.176876\pi\) |
−0.527516 | + | 0.849545i | \(0.676876\pi\) | |||||||
\(618\) | 9.24673 | − | 0.239838i | 0.371958 | − | 0.00964768i | ||||
\(619\) | 13.8212 | + | 23.9391i | 0.555523 | + | 0.962194i | 0.997863 | + | 0.0653461i | \(0.0208151\pi\) |
−0.442340 | + | 0.896847i | \(0.645852\pi\) | |||||||
\(620\) | −33.6275 | − | 13.7144i | −1.35051 | − | 0.550783i | ||||
\(621\) | −4.20357 | + | 7.28080i | −0.168683 | + | 0.292168i | ||||
\(622\) | −8.65236 | − | 14.1272i | −0.346928 | − | 0.566450i | ||||
\(623\) | −6.59432 | + | 3.88197i | −0.264196 | + | 0.155528i | ||||
\(624\) | 1.60891 | + | 2.21910i | 0.0644079 | + | 0.0888352i | ||||
\(625\) | −18.9718 | − | 16.2810i | −0.758871 | − | 0.651241i | ||||
\(626\) | −25.8984 | + | 7.66447i | −1.03511 | + | 0.306334i | ||||
\(627\) | 1.96636 | + | 0.526885i | 0.0785289 | + | 0.0210417i | ||||
\(628\) | 1.77841 | − | 8.34640i | 0.0709664 | − | 0.333058i | ||||
\(629\) | − | 3.77309i | − | 0.150443i | ||||||
\(630\) | 9.31199 | − | 21.7387i | 0.370999 | − | 0.866090i | ||||
\(631\) | 11.5488i | 0.459750i | 0.973220 | + | 0.229875i | \(0.0738318\pi\) | ||||
−0.973220 | + | 0.229875i | \(0.926168\pi\) | |||||||
\(632\) | 27.0880 | + | 12.9451i | 1.07750 | + | 0.514927i | ||||
\(633\) | −0.352910 | − | 0.0945618i | −0.0140269 | − | 0.00375850i | ||||
\(634\) | 1.15898 | + | 3.91624i | 0.0460292 | + | 0.155534i | ||||
\(635\) | 14.1514 | + | 2.53573i | 0.561580 | + | 0.100627i | ||||
\(636\) | 5.02171 | − | 9.84358i | 0.199124 | − | 0.390324i | ||||
\(637\) | 11.1760 | + | 2.79286i | 0.442811 | + | 0.110657i | ||||
\(638\) | −5.05423 | + | 3.09551i | −0.200099 | + | 0.122553i | ||||
\(639\) | −19.2909 | + | 33.4128i | −0.763135 | + | 1.32179i | ||||
\(640\) | 17.8129 | − | 17.9638i | 0.704118 | − | 0.710083i | ||||
\(641\) | 8.55730 | + | 14.8217i | 0.337993 | + | 0.585421i | 0.984055 | − | 0.177864i | \(-0.0569186\pi\) |
−0.646062 | + | 0.763285i | \(0.723585\pi\) | |||||||
\(642\) | −0.212394 | − | 8.18867i | −0.00838253 | − | 0.323181i | ||||
\(643\) | 18.4696 | + | 18.4696i | 0.728370 | + | 0.728370i | 0.970295 | − | 0.241925i | \(-0.0777789\pi\) |
−0.241925 | + | 0.970295i | \(0.577779\pi\) | |||||||
\(644\) | −3.66937 | + | 17.9652i | −0.144593 | + | 0.707929i | ||||
\(645\) | 5.81585 | + | 2.73163i | 0.228999 | + | 0.107558i | ||||
\(646\) | 29.1064 | − | 30.6566i | 1.14518 | − | 1.20617i | ||||
\(647\) | −32.3254 | − | 8.66156i | −1.27084 | − | 0.340521i | −0.440489 | − | 0.897758i | \(-0.645195\pi\) |
−0.830353 | + | 0.557237i | \(0.811861\pi\) | |||||||
\(648\) | 17.4204 | − | 11.9536i | 0.684339 | − | 0.469584i | ||||
\(649\) | 6.48624 | + | 3.74483i | 0.254607 | + | 0.146997i | ||||
\(650\) | 10.4440 | − | 5.13185i | 0.409646 | − | 0.201288i | ||||
\(651\) | 8.66070 | + | 2.24228i | 0.339440 | + | 0.0878821i | ||||
\(652\) | 15.4690 | − | 5.01770i | 0.605813 | − | 0.196508i | ||||
\(653\) | 2.75226 | + | 10.2716i | 0.107704 | + | 0.401958i | 0.998638 | − | 0.0521757i | \(-0.0166156\pi\) |
−0.890934 | + | 0.454133i | \(0.849949\pi\) | |||||||
\(654\) | 6.02095 | − | 1.78186i | 0.235438 | − | 0.0696763i | ||||
\(655\) | −2.60494 | − | 30.7563i | −0.101784 | − | 1.20175i | ||||
\(656\) | 0.381295 | − | 0.0396930i | 0.0148871 | − | 0.00154975i | ||||
\(657\) | −11.9755 | − | 11.9755i | −0.467210 | − | 0.467210i | ||||
\(658\) | 4.61526 | − | 19.9439i | 0.179922 | − | 0.777496i | ||||
\(659\) | −21.6586 | −0.843698 | −0.421849 | − | 0.906666i | \(-0.638619\pi\) | ||||
−0.421849 | + | 0.906666i | \(0.638619\pi\) | |||||||
\(660\) | 0.943078 | − | 1.24303i | 0.0367093 | − | 0.0483850i | ||||
\(661\) | −11.2670 | − | 19.5150i | −0.438236 | − | 0.759046i | 0.559318 | − | 0.828953i | \(-0.311063\pi\) |
−0.997554 | + | 0.0699068i | \(0.977730\pi\) | |||||||
\(662\) | −23.5413 | + | 43.3320i | −0.914957 | + | 1.68415i | ||||
\(663\) | 3.39088 | − | 0.908584i | 0.131691 | − | 0.0352865i | ||||
\(664\) | −11.3578 | + | 13.2783i | −0.440769 | + | 0.515296i | ||||
\(665\) | −14.4103 | + | 31.3675i | −0.558807 | + | 1.21638i | ||||
\(666\) | −0.688004 | + | 2.86261i | −0.0266596 | + | 0.110924i | ||||
\(667\) | 4.48584 | + | 16.7414i | 0.173693 | + | 0.648229i | ||||
\(668\) | 10.4273 | − | 11.5691i | 0.403443 | − | 0.447621i | ||||
\(669\) | −6.42869 | + | 3.71161i | −0.248548 | + | 0.143499i | ||||
\(670\) | 1.57219 | − | 0.613826i | 0.0607392 | − | 0.0237141i | ||||
\(671\) | 1.54069i | 0.0594775i | ||||||||
\(672\) | −3.75801 | + | 4.97143i | −0.144969 | + | 0.191777i | ||||
\(673\) | −12.3425 | + | 12.3425i | −0.475769 | + | 0.475769i | −0.903776 | − | 0.428007i | \(-0.859216\pi\) |
0.428007 | + | 0.903776i | \(0.359216\pi\) | |||||||
\(674\) | −21.8743 | + | 23.0392i | −0.842565 | + | 0.887437i | ||||
\(675\) | 5.06567 | + | 11.0225i | 0.194978 | + | 0.424256i | ||||
\(676\) | −1.06705 | − | 20.5558i | −0.0410405 | − | 0.790609i | ||||
\(677\) | −13.2169 | + | 3.54145i | −0.507966 | + | 0.136109i | −0.503695 | − | 0.863882i | \(-0.668026\pi\) |
−0.00427157 | + | 0.999991i | \(0.501360\pi\) | |||||||
\(678\) | −3.99141 | + | 2.44457i | −0.153289 | + | 0.0938833i | ||||
\(679\) | −15.3054 | + | 4.24015i | −0.587368 | + | 0.162722i | ||||
\(680\) | −13.3325 | − | 29.5303i | −0.511278 | − | 1.13243i | ||||
\(681\) | 2.18628 | − | 3.78675i | 0.0837785 | − | 0.145109i | ||||
\(682\) | −8.45539 | − | 4.59362i | −0.323774 | − | 0.175899i | ||||
\(683\) | 0.572913 | − | 2.13814i | 0.0219219 | − | 0.0818137i | −0.954098 | − | 0.299494i | \(-0.903182\pi\) |
0.976020 | + | 0.217680i | \(0.0698489\pi\) | |||||||
\(684\) | −27.6729 | + | 17.9515i | −1.05810 | + | 0.686392i | ||||
\(685\) | 30.2506 | − | 10.9155i | 1.15582 | − | 0.417059i | ||||
\(686\) | 1.34325 | + | 26.1571i | 0.0512856 | + | 0.998684i | ||||
\(687\) | −8.02297 | + | 8.02297i | −0.306095 | + | 0.306095i | ||||
\(688\) | 21.4351 | + | 17.3931i | 0.817206 | + | 0.663105i | ||||
\(689\) | 18.9114 | − | 10.9185i | 0.720467 | − | 0.415962i | ||||
\(690\) | −2.70297 | − | 3.67602i | −0.102900 | − | 0.139944i | ||||
\(691\) | −19.0959 | − | 11.0250i | −0.726442 | − | 0.419411i | 0.0906771 | − | 0.995880i | \(-0.471097\pi\) |
−0.817119 | + | 0.576469i | \(0.804430\pi\) | |||||||
\(692\) | 1.93210 | + | 5.95644i | 0.0734473 | + | 0.226430i | ||||
\(693\) | 3.08709 | − | 5.45301i | 0.117269 | − | 0.207143i | ||||
\(694\) | −7.93616 | + | 33.0204i | −0.301252 | + | 1.25344i | ||||
\(695\) | 1.86019 | + | 2.67236i | 0.0705611 | + | 0.101368i | ||||
\(696\) | −1.07781 | + | 5.79126i | −0.0408542 | + | 0.219517i | ||||
\(697\) | 0.127075 | − | 0.474249i | 0.00481330 | − | 0.0179635i | ||||
\(698\) | −28.2866 | + | 0.733685i | −1.07066 | + | 0.0277704i | ||||
\(699\) | −5.46890 | −0.206853 | ||||||||
\(700\) | 18.0907 | + | 19.3061i | 0.683765 | + | 0.729702i | ||||
\(701\) | 3.86536 | 0.145993 | 0.0729964 | − | 0.997332i | \(-0.476744\pi\) | ||||
0.0729964 | + | 0.997332i | \(0.476744\pi\) | |||||||
\(702\) | −5.64459 | + | 0.146407i | −0.213041 | + | 0.00552577i | ||||
\(703\) | 1.11224 | − | 4.15093i | 0.0419489 | − | 0.156555i | ||||
\(704\) | 5.21561 | − | 4.21067i | 0.196571 | − | 0.158696i | ||||
\(705\) | 2.91025 | + | 4.18088i | 0.109606 | + | 0.157461i | ||||
\(706\) | −7.74281 | + | 32.2159i | −0.291404 | + | 1.21246i | ||||
\(707\) | 4.54997 | − | 0.0384883i | 0.171119 | − | 0.00144750i | ||||
\(708\) | 7.08080 | − | 2.29681i | 0.266113 | − | 0.0863192i | ||||
\(709\) | 27.5158 | + | 15.8862i | 1.03338 | + | 0.596620i | 0.917950 | − | 0.396696i | \(-0.129843\pi\) |
0.115427 | + | 0.993316i | \(0.463177\pi\) | |||||||
\(710\) | −25.5696 | − | 34.7745i | −0.959611 | − | 1.30506i | ||||
\(711\) | −25.9834 | + | 15.0015i | −0.974452 | + | 0.562600i | ||||
\(712\) | 3.52727 | − | 7.38093i | 0.132190 | − | 0.276612i | ||||
\(713\) | −19.8977 | + | 19.8977i | −0.745175 | + | 0.745175i | ||||
\(714\) | 4.22610 | + | 6.77094i | 0.158158 | + | 0.253396i | ||||
\(715\) | 2.90028 | − | 1.04652i | 0.108464 | − | 0.0391377i | ||||
\(716\) | 17.5295 | + | 27.0225i | 0.655109 | + | 1.00988i | ||||
\(717\) | −1.15398 | + | 4.30673i | −0.0430963 | + | 0.160838i | ||||
\(718\) | 33.4334 | + | 18.1636i | 1.24772 | + | 0.677860i | ||||
\(719\) | 5.63438 | − | 9.75903i | 0.210127 | − | 0.363950i | −0.741627 | − | 0.670812i | \(-0.765946\pi\) |
0.951754 | + | 0.306862i | \(0.0992790\pi\) | |||||||
\(720\) | 4.73058 | + | 24.8355i | 0.176298 | + | 0.925565i | ||||
\(721\) | −10.4163 | + | 40.2325i | −0.387924 | + | 1.49834i | ||||
\(722\) | 18.1443 | − | 11.1126i | 0.675260 | − | 0.413569i | ||||
\(723\) | −5.05733 | + | 1.35511i | −0.188084 | + | 0.0503970i | ||||
\(724\) | 7.65481 | − | 0.397361i | 0.284489 | − | 0.0147678i | ||||
\(725\) | 23.4526 | + | 8.68359i | 0.871008 | + | 0.322500i | ||||
\(726\) | −4.17536 | + | 4.39773i | −0.154962 | + | 0.163215i | ||||
\(727\) | 21.9895 | − | 21.9895i | 0.815544 | − | 0.815544i | −0.169915 | − | 0.985459i | \(-0.554349\pi\) |
0.985459 | + | 0.169915i | \(0.0543492\pi\) | |||||||
\(728\) | −11.5767 | + | 4.20029i | −0.429060 | + | 0.155673i | ||||
\(729\) | 18.0830i | 0.669742i | ||||||||
\(730\) | 17.6496 | − | 6.89086i | 0.653241 | − | 0.255042i | ||||
\(731\) | 30.6172 | − | 17.6768i | 1.13242 | − | 0.653801i | ||||
\(732\) | 1.13746 | + | 1.02520i | 0.0420418 | + | 0.0378924i | ||||
\(733\) | −10.4591 | − | 39.0339i | −0.386316 | − | 1.44175i | −0.836082 | − | 0.548604i | \(-0.815159\pi\) |
0.449766 | − | 0.893146i | \(-0.351507\pi\) | |||||||
\(734\) | 9.05587 | − | 37.6792i | 0.334258 | − | 1.39077i | ||||
\(735\) | −5.05152 | − | 4.11837i | −0.186328 | − | 0.151909i | ||||
\(736\) | −7.47894 | − | 18.1193i | −0.275677 | − | 0.667887i | ||||
\(737\) | 0.431964 | − | 0.115744i | 0.0159116 | − | 0.00426350i | ||||
\(738\) | −0.182888 | + | 0.336638i | −0.00673219 | + | 0.0123918i | ||||
\(739\) | −15.6220 | − | 27.0581i | −0.574665 | − | 0.995349i | −0.996078 | − | 0.0884798i | \(-0.971799\pi\) |
0.421413 | − | 0.906869i | \(-0.361534\pi\) | |||||||
\(740\) | −2.62401 | − | 1.99081i | −0.0964605 | − | 0.0731837i | ||||
\(741\) | 3.99829 | 0.146881 | ||||||||
\(742\) | 36.2937 | + | 33.8795i | 1.33238 | + | 1.24375i | ||||
\(743\) | 13.4261 | + | 13.4261i | 0.492557 | + | 0.492557i | 0.909111 | − | 0.416554i | \(-0.136762\pi\) |
−0.416554 | + | 0.909111i | \(0.636762\pi\) | |||||||
\(744\) | −9.01776 | + | 3.18580i | −0.330607 | + | 0.116797i | ||||
\(745\) | 2.18224 | + | 25.7655i | 0.0799512 | + | 0.943975i | ||||
\(746\) | −29.7356 | + | 8.80007i | −1.08870 | + | 0.322194i | ||||
\(747\) | −4.51950 | − | 16.8670i | −0.165360 | − | 0.617131i | ||||
\(748\) | −2.64886 | − | 8.16615i | −0.0968520 | − | 0.298584i | ||||
\(749\) | 35.6289 | + | 9.22443i | 1.30185 | + | 0.337053i | ||||
\(750\) | −6.58273 | + | 0.115975i | −0.240367 | + | 0.00423480i | ||||
\(751\) | 29.3693 | + | 16.9564i | 1.07170 | + | 0.618748i | 0.928646 | − | 0.370967i | \(-0.120974\pi\) |
0.143056 | + | 0.989715i | \(0.454307\pi\) | |||||||
\(752\) | 7.82238 | + | 20.4386i | 0.285253 | + | 0.745320i | ||||
\(753\) | 5.96698 | + | 1.59885i | 0.217449 | + | 0.0582652i | ||||
\(754\) | −8.01500 | + | 8.44185i | −0.291889 | + | 0.307434i | ||||
\(755\) | −9.74730 | − | 4.57818i | −0.354741 | − | 0.166617i | ||||
\(756\) | −4.06426 | − | 12.1777i | −0.147816 | − | 0.442900i | ||||
\(757\) | 10.7202 | + | 10.7202i | 0.389633 | + | 0.389633i | 0.874556 | − | 0.484924i | \(-0.161153\pi\) |
−0.484924 | + | 0.874556i | \(0.661153\pi\) | |||||||
\(758\) | −0.750252 | − | 28.9253i | −0.0272504 | − | 1.05061i | ||||
\(759\) | −0.604493 | − | 1.04701i | −0.0219417 | − | 0.0380041i | ||||
\(760\) | −5.96266 | − | 36.4177i | −0.216288 | − | 1.32101i | ||||
\(761\) | 12.2719 | − | 21.2555i | 0.444854 | − | 0.770510i | −0.553188 | − | 0.833057i | \(-0.686589\pi\) |
0.998042 | + | 0.0625464i | \(0.0199221\pi\) | |||||||
\(762\) | 3.22869 | − | 1.97744i | 0.116963 | − | 0.0716351i | ||||
\(763\) | 0.238633 | + | 28.2106i | 0.00863911 | + | 1.02129i | ||||
\(764\) | 4.98927 | + | 2.54528i | 0.180506 | + | 0.0920851i | ||||
\(765\) | 31.8721 | + | 5.71105i | 1.15234 | + | 0.206484i | ||||
\(766\) | 2.91629 | + | 9.85420i | 0.105370 | + | 0.356047i | ||||
\(767\) | 14.2089 | + | 3.80726i | 0.513054 | + | 0.137472i | ||||
\(768\) | 0.361887 | − | 6.65245i | 0.0130585 | − | 0.240050i | ||||
\(769\) | − | 38.3029i | − | 1.38124i | −0.723219 | − | 0.690619i | \(-0.757338\pi\) | ||
0.723219 | − | 0.690619i | \(-0.242662\pi\) | |||||||
\(770\) | 4.20049 | + | 5.61254i | 0.151375 | + | 0.202262i | ||||
\(771\) | 6.32315i | 0.227723i | ||||||||
\(772\) | −16.9172 | − | 3.60463i | −0.608862 | − | 0.129734i | ||||
\(773\) | −1.38674 | − | 0.371576i | −0.0498776 | − | 0.0133647i | 0.233794 | − | 0.972286i | \(-0.424886\pi\) |
−0.283672 | + | 0.958922i | \(0.591553\pi\) | |||||||
\(774\) | −26.4523 | + | 7.82839i | −0.950808 | + | 0.281386i | ||||
\(775\) | 6.82888 | + | 40.0247i | 0.245301 | + | 1.43773i | ||||
\(776\) | 11.0362 | − | 12.9023i | 0.396178 | − | 0.463166i | ||||
\(777\) | 0.706087 | + | 0.399734i | 0.0253307 | + | 0.0143404i | ||||
\(778\) | −4.10243 | − | 6.69829i | −0.147079 | − | 0.240145i | ||||
\(779\) | 0.279601 | − | 0.484282i | 0.0100177 | − | 0.0173512i | ||||
\(780\) | 1.15727 | − | 2.83760i | 0.0414369 | − | 0.101603i | ||||
\(781\) | −5.71840 | − | 9.90456i | −0.204620 | − | 0.354413i | ||||
\(782\) | −25.0969 | + | 0.650951i | −0.897462 | + | 0.0232780i | ||||
\(783\) | −8.58072 | − | 8.58072i | −0.306650 | − | 0.306650i | ||||
\(784\) | −16.8166 | − | 22.3875i | −0.600594 | − | 0.799554i | ||||
\(785\) | −8.97465 | + | 3.23836i | −0.320319 | + | 0.115582i | ||||
\(786\) | −5.89493 | − | 5.59687i | −0.210265 | − | 0.199634i | ||||
\(787\) | −13.8248 | − | 3.70435i | −0.492801 | − | 0.132046i | 0.00385583 | − | 0.999993i | \(-0.498773\pi\) |
−0.496657 | + | 0.867947i | \(0.665439\pi\) | |||||||
\(788\) | 10.2964 | + | 9.28017i | 0.366794 | + | 0.330592i | ||||
\(789\) | −4.22637 | − | 2.44010i | −0.150463 | − | 0.0868698i | ||||
\(790\) | −3.69903 | − | 33.3614i | −0.131605 | − | 1.18695i | ||||
\(791\) | −5.61441 | − | 20.2660i | −0.199625 | − | 0.720575i | ||||
\(792\) | 0.520614 | + | 6.67861i | 0.0184992 | + | 0.237314i | ||||
\(793\) | 0.783185 | + | 2.92289i | 0.0278117 | + | 0.103795i | ||||
\(794\) | 12.0770 | + | 40.8084i | 0.428597 | + | 1.44824i | ||||
\(795\) | −12.3108 | + | 1.04268i | −0.436618 | + | 0.0369799i | ||||
\(796\) | −13.4937 | − | 20.8010i | −0.478270 | − | 0.737272i | ||||
\(797\) | −9.85742 | − | 9.85742i | −0.349168 | − | 0.349168i | 0.510632 | − | 0.859800i | \(-0.329412\pi\) |
−0.859800 | + | 0.510632i | \(0.829412\pi\) | |||||||
\(798\) | 2.65336 | + | 8.69478i | 0.0939278 | + | 0.307792i | ||||
\(799\) | 28.0283 | 0.991569 | ||||||||
\(800\) | −27.5717 | − | 6.30905i | −0.974805 | − | 0.223058i | ||||
\(801\) | 4.08761 | + | 7.07995i | 0.144429 | + | 0.250158i | ||||
\(802\) | 5.76503 | + | 3.13201i | 0.203570 | + | 0.110595i | ||||
\(803\) | 4.84926 | − | 1.29936i | 0.171127 | − | 0.0458533i | ||||
\(804\) | 0.201984 | − | 0.395930i | 0.00712342 | − | 0.0139634i | ||||
\(805\) | 19.2239 | − | 7.12100i | 0.677554 | − | 0.250982i | ||||
\(806\) | −18.3761 | − | 4.41654i | −0.647271 | − | 0.155566i | ||||
\(807\) | 2.22995 | + | 8.32229i | 0.0784980 | + | 0.292959i | ||||
\(808\) | −4.01085 | + | 2.75218i | −0.141101 | + | 0.0968215i | ||||
\(809\) | 30.8498 | − | 17.8112i | 1.08462 | − | 0.626207i | 0.152483 | − | 0.988306i | \(-0.451273\pi\) |
0.932140 | + | 0.362099i | \(0.117940\pi\) | |||||||
\(810\) | −21.6333 | − | 9.48423i | −0.760118 | − | 0.333242i | ||||
\(811\) | − | 11.1150i | − | 0.390299i | −0.980774 | − | 0.195149i | \(-0.937481\pi\) | ||
0.980774 | − | 0.195149i | \(-0.0625192\pi\) | |||||||
\(812\) | −23.6768 | − | 11.8274i | −0.830894 | − | 0.415062i | ||||
\(813\) | −6.21267 | + | 6.21267i | −0.217888 | + | 0.217888i | ||||
\(814\) | −0.632906 | − | 0.600904i | −0.0221833 | − | 0.0210617i | ||||
\(815\) | −13.8958 | − | 11.7257i | −0.486747 | − | 0.410734i | ||||
\(816\) | −7.79153 | − | 3.47829i | −0.272758 | − | 0.121764i | ||||
\(817\) | 38.8940 | − | 10.4216i | 1.36073 | − | 0.364607i | ||||
\(818\) | 25.6608 | + | 41.8979i | 0.897207 | + | 1.46493i | ||||
\(819\) | 3.08467 | − | 11.9144i | 0.107787 | − | 0.416322i | ||||
\(820\) | −0.262770 | − | 0.338605i | −0.00917632 | − | 0.0118246i | ||||
\(821\) | −6.79984 | + | 11.7777i | −0.237316 | + | 0.411043i | −0.959943 | − | 0.280195i | \(-0.909601\pi\) |
0.722627 | + | 0.691238i | \(0.242934\pi\) | |||||||
\(822\) | 4.04303 | − | 7.44193i | 0.141017 | − | 0.259567i | ||||
\(823\) | 6.57048 | − | 24.5214i | 0.229033 | − | 0.854761i | −0.751716 | − | 0.659487i | \(-0.770774\pi\) |
0.980749 | − | 0.195274i | \(-0.0625597\pi\) | |||||||
\(824\) | −14.7993 | − | 41.8911i | −0.515559 | − | 1.45935i | ||||
\(825\) | −1.73696 | − | 0.161672i | −0.0604731 | − | 0.00562869i | ||||
\(826\) | 1.14998 | + | 33.4257i | 0.0400129 | + | 1.16303i | ||||
\(827\) | 17.3478 | − | 17.3478i | 0.603242 | − | 0.603242i | −0.337929 | − | 0.941172i | \(-0.609726\pi\) |
0.941172 | + | 0.337929i | \(0.109726\pi\) | |||||||
\(828\) | 19.1595 | + | 4.08242i | 0.665839 | + | 0.141874i | ||||
\(829\) | −16.3045 | + | 9.41343i | −0.566280 | + | 0.326942i | −0.755662 | − | 0.654962i | \(-0.772685\pi\) |
0.189382 | + | 0.981903i | \(0.439351\pi\) | |||||||
\(830\) | 19.3122 | + | 2.94588i | 0.670337 | + | 0.102253i | ||||
\(831\) | 1.17942 | + | 0.680936i | 0.0409135 | + | 0.0236214i | ||||
\(832\) | 7.75428 | − | 10.6395i | 0.268831 | − | 0.368858i | ||||
\(833\) | −34.4769 | + | 9.86610i | −1.19455 | + | 0.341840i | ||||
\(834\) | 0.833737 | + | 0.200381i | 0.0288700 | + | 0.00693864i | ||||
\(835\) | −17.1401 | − | 3.07127i | −0.593156 | − | 0.106286i | ||||
\(836\) | −0.506889 | − | 9.76476i | −0.0175311 | − | 0.337721i | ||||
\(837\) | 5.09924 | − | 19.0306i | 0.176255 | − | 0.657794i | ||||
\(838\) | −1.03154 | − | 39.7700i | −0.0356338 | − | 1.37383i | ||||
\(839\) | −3.21211 | −0.110894 | −0.0554472 | − | 0.998462i | \(-0.517658\pi\) | ||||
−0.0554472 | + | 0.998462i | \(0.517658\pi\) | |||||||
\(840\) | 6.93872 | + | 0.633528i | 0.239409 | + | 0.0218588i | ||||
\(841\) | 3.98283 | 0.137339 | ||||||||
\(842\) | 0.144701 | + | 5.57884i | 0.00498674 | + | 0.192260i | ||||
\(843\) | 0.280301 | − | 1.04610i | 0.00965408 | − | 0.0360295i | ||||
\(844\) | 0.0909731 | + | 1.75252i | 0.00313142 | + | 0.0603241i | ||||
\(845\) | −18.8877 | + | 13.1474i | −0.649757 | + | 0.452286i | ||||
\(846\) | −21.2649 | − | 5.11082i | −0.731101 | − | 0.175714i | ||||
\(847\) | −13.8220 | − | 23.4795i | −0.474929 | − | 0.806764i | ||||
\(848\) | −52.4156 | − | 8.35517i | −1.79996 | − | 0.286918i | ||||
\(849\) | 9.99440 | + | 5.77027i | 0.343007 | + | 0.198035i | ||||
\(850\) | −20.1685 | + | 30.0911i | −0.691772 | + | 1.03212i | ||||
\(851\) | −2.21021 | + | 1.27607i | −0.0757652 | + | 0.0437430i | ||||
\(852\) | −11.1175 | − | 2.36886i | −0.380879 | − | 0.0811559i | ||||
\(853\) | −31.7184 | + | 31.7184i | −1.08602 | + | 1.08602i | −0.0900831 | + | 0.995934i | \(0.528713\pi\) |
−0.995934 | + | 0.0900831i | \(0.971287\pi\) | |||||||
\(854\) | −5.83645 | + | 3.64283i | −0.199719 | + | 0.124655i | ||||
\(855\) | 33.3804 | + | 15.6783i | 1.14158 | + | 0.536187i | ||||
\(856\) | −37.0977 | + | 13.1059i | −1.26797 | + | 0.447951i | ||||
\(857\) | 9.50091 | − | 35.4579i | 0.324545 | − | 1.21122i | −0.590224 | − | 0.807240i | \(-0.700960\pi\) |
0.914769 | − | 0.403978i | \(-0.132373\pi\) | |||||||
\(858\) | 0.387626 | − | 0.713496i | 0.0132333 | − | 0.0243583i | ||||
\(859\) | 5.30651 | − | 9.19114i | 0.181056 | − | 0.313598i | −0.761185 | − | 0.648535i | \(-0.775382\pi\) |
0.942240 | + | 0.334938i | \(0.108715\pi\) | |||||||
\(860\) | 3.86126 | − | 30.6198i | 0.131668 | − | 1.04412i | ||||
\(861\) | 0.0752872 | + | 0.0740242i | 0.00256578 | + | 0.00252274i | ||||
\(862\) | −10.3498 | − | 16.8988i | −0.352517 | − | 0.575576i | ||||
\(863\) | −21.1660 | + | 5.67140i | −0.720498 | + | 0.193057i | −0.600394 | − | 0.799705i | \(-0.704989\pi\) |
−0.120104 | + | 0.992761i | \(0.538323\pi\) | |||||||
\(864\) | 10.8780 | + | 8.36842i | 0.370075 | + | 0.284699i | ||||
\(865\) | 4.51506 | − | 5.35065i | 0.153517 | − | 0.181928i | ||||
\(866\) | −3.21919 | − | 3.05642i | −0.109393 | − | 0.103861i | ||||
\(867\) | −2.72198 | + | 2.72198i | −0.0924434 | + | 0.0924434i | ||||
\(868\) | −2.59049 | − | 42.8922i | −0.0879271 | − | 1.45585i | ||||
\(869\) | − | 8.89379i | − | 0.301701i | ||||||
\(870\) | 6.13500 | − | 2.39526i | 0.207996 | − | 0.0812070i | ||||
\(871\) | 0.760656 | − | 0.439165i | 0.0257739 | − | 0.0148805i | ||||
\(872\) | −17.0640 | − | 24.8679i | −0.577859 | − | 0.842133i | ||||
\(873\) | 4.39154 | + | 16.3894i | 0.148631 | + | 0.554698i | ||||
\(874\) | −27.8020 | − | 6.68197i | −0.940417 | − | 0.226021i | ||||
\(875\) | 7.65188 | − | 28.5736i | 0.258681 | − | 0.965963i | ||||
\(876\) | 2.26749 | − | 4.44474i | 0.0766114 | − | 0.150174i | ||||
\(877\) | −11.0320 | + | 2.95602i | −0.372524 | + | 0.0998175i | −0.440224 | − | 0.897888i | \(-0.645101\pi\) |
0.0676994 | + | 0.997706i | \(0.478434\pi\) | |||||||
\(878\) | 31.1071 | + | 16.8998i | 1.04981 | + | 0.570340i | ||||
\(879\) | −3.51032 | − | 6.08006i | −0.118400 | − | 0.205075i | ||||
\(880\) | −7.07682 | − | 2.46658i | −0.238559 | − | 0.0831485i | ||||
\(881\) | 27.2610 | 0.918447 | 0.459224 | − | 0.888321i | \(-0.348128\pi\) | ||||
0.459224 | + | 0.888321i | \(0.348128\pi\) | |||||||
\(882\) | 27.9564 | − | 1.19865i | 0.941341 | − | 0.0403605i | ||||
\(883\) | 29.9932 | + | 29.9932i | 1.00935 | + | 1.00935i | 0.999956 | + | 0.00939636i | \(0.00299100\pi\) |
0.00939636 | + | 0.999956i | \(0.497009\pi\) | |||||||
\(884\) | −9.17640 | − | 14.1458i | −0.308636 | − | 0.475774i | ||||
\(885\) | −6.36066 | − | 5.36734i | −0.213811 | − | 0.180421i | ||||
\(886\) | 1.76687 | + | 5.97030i | 0.0593592 | + | 0.200576i | ||||
\(887\) | 5.85632 | + | 21.8561i | 0.196636 | + | 0.733855i | 0.991837 | + | 0.127510i | \(0.0406985\pi\) |
−0.795201 | + | 0.606345i | \(0.792635\pi\) | |||||||
\(888\) | −0.864784 | + | 0.0674121i | −0.0290202 | + | 0.00226220i | ||||
\(889\) | 4.54155 | + | 16.3933i | 0.152319 | + | 0.549815i | ||||
\(890\) | −9.09032 | + | 1.00791i | −0.304708 | + | 0.0337852i | ||||
\(891\) | −5.42024 | − | 3.12937i | −0.181585 | − | 0.104838i | ||||
\(892\) | 26.4849 | + | 23.8709i | 0.886780 | + | 0.799257i | ||||
\(893\) | 30.8351 | + | 8.26224i | 1.03186 | + | 0.276485i | ||||
\(894\) | 4.93837 | + | 4.68867i | 0.165164 | + | 0.156813i | ||||
\(895\) | 15.3098 | − | 32.5957i | 0.511749 | − | 1.08956i | ||||
\(896\) | 28.2829 | + | 9.80205i | 0.944864 | + | 0.327464i | ||||
\(897\) | −1.67904 | − | 1.67904i | −0.0560615 | − | 0.0560615i | ||||
\(898\) | −34.2485 | + | 0.888322i | −1.14289 | + | 0.0296437i | ||||
\(899\) | −20.3085 | − | 35.1754i | −0.677327 | − | 1.17317i | ||||
\(900\) | 20.7886 | − | 19.1523i | 0.692954 | − | 0.638409i | ||||
\(901\) | −33.9892 | + | 58.8710i | −1.13234 | + | 1.96128i | ||||
\(902\) | −0.0593137 | − | 0.0968451i | −0.00197493 | − | 0.00322459i | ||||
\(903\) | 0.0643086 | + | 7.60237i | 0.00214005 | + | 0.252991i | ||||
\(904\) | 17.0840 | + | 14.6131i | 0.568206 | + | 0.486026i | ||||
\(905\) | −4.89599 | − | 7.03362i | −0.162748 | − | 0.233805i | ||||
\(906\) | −2.71941 | + | 0.804791i | −0.0903462 | + | 0.0267374i | ||||
\(907\) | 4.01423 | + | 1.07561i | 0.133290 | + | 0.0357151i | 0.324847 | − | 0.945766i | \(-0.394687\pi\) |
−0.191557 | + | 0.981481i | \(0.561354\pi\) | |||||||
\(908\) | −20.5410 | − | 4.37678i | −0.681677 | − | 0.145249i | ||||
\(909\) | − | 4.86119i | − | 0.161235i | ||||||
\(910\) | 10.8220 | + | 8.51248i | 0.358744 | + | 0.282186i | ||||
\(911\) | 29.4464i | 0.975603i | 0.872955 | + | 0.487801i | \(0.162201\pi\) | ||||
−0.872955 | + | 0.487801i | \(0.837799\pi\) | |||||||
\(912\) | −7.54646 | − | 6.12341i | −0.249888 | − | 0.202767i | ||||
\(913\) | 4.99989 | + | 1.33972i | 0.165472 | + | 0.0443381i | ||||
\(914\) | 3.75829 | + | 12.6993i | 0.124313 | + | 0.420057i | ||||
\(915\) | 0.301964 | − | 1.68519i | 0.00998262 | − | 0.0557108i | ||||
\(916\) | 48.5454 | + | 24.7655i | 1.60398 | + | 0.818274i | ||||
\(917\) | 31.4731 | − | 18.5277i | 1.03933 | − | 0.611838i | ||||
\(918\) | 14.9895 | − | 9.18048i | 0.494728 | − | 0.303001i | ||||
\(919\) | −4.57597 | + | 7.92582i | −0.150947 | + | 0.261449i | −0.931576 | − | 0.363547i | \(-0.881566\pi\) |
0.780629 | + | 0.624995i | \(0.214899\pi\) | |||||||
\(920\) | −12.7893 | + | 17.7972i | −0.421650 | + | 0.586756i | ||||
\(921\) | −3.83837 | − | 6.64825i | −0.126479 | − | 0.219067i | ||||
\(922\) | 0.453163 | + | 17.4713i | 0.0149241 | + | 0.575387i | ||||
\(923\) | −15.8834 | − | 15.8834i | −0.522809 | − | 0.522809i | ||||
\(924\) | 1.80883 | + | 0.369449i | 0.0595060 | + | 0.0121540i | ||||
\(925\) | −0.341285 | + | 3.66667i | −0.0112214 | + | 0.120559i | ||||
\(926\) | 40.8697 | − | 43.0463i | 1.34306 | − | 1.41459i | ||||
\(927\) | 42.8871 | + | 11.4916i | 1.40860 | + | 0.377433i | ||||
\(928\) | 28.0565 | − | 3.65829i | 0.920999 | − | 0.120089i | ||||
\(929\) | −26.0531 | − | 15.0417i | −0.854773 | − | 0.493504i | 0.00748525 | − | 0.999972i | \(-0.497617\pi\) |
−0.862259 | + | 0.506468i | \(0.830951\pi\) | |||||||
\(930\) | 8.34815 | + | 6.68168i | 0.273747 | + | 0.219101i | ||||
\(931\) | −40.8378 | + | 0.690945i | −1.33841 | + | 0.0226448i | ||||
\(932\) | 8.10485 | + | 24.9864i | 0.265483 | + | 0.818456i | ||||
\(933\) | 1.26244 | + | 4.71148i | 0.0413303 | + | 0.154247i | ||||
\(934\) | −49.0807 | + | 14.5251i | −1.60597 | + | 0.475277i | ||||
\(935\) | −6.19005 | + | 7.33562i | −0.202436 | + | 0.239901i | ||||
\(936\) | 4.38265 | + | 12.4056i | 0.143251 | + | 0.405489i | ||||
\(937\) | −6.79581 | − | 6.79581i | −0.222009 | − | 0.222009i | 0.587335 | − | 0.809344i | \(-0.300177\pi\) |
−0.809344 | + | 0.587335i | \(0.800177\pi\) | |||||||
\(938\) | 1.45981 | + | 1.36270i | 0.0476645 | + | 0.0444939i | ||||
\(939\) | 7.95230 | 0.259514 | ||||||||
\(940\) | 14.7887 | − | 19.4924i | 0.482354 | − | 0.635772i | ||||
\(941\) | −9.08044 | − | 15.7278i | −0.296014 | − | 0.512711i | 0.679206 | − | 0.733947i | \(-0.262324\pi\) |
−0.975220 | + | 0.221236i | \(0.928991\pi\) | |||||||
\(942\) | −1.19947 | + | 2.20785i | −0.0390809 | + | 0.0719355i | ||||
\(943\) | −0.320785 | + | 0.0859540i | −0.0104462 | + | 0.00279905i | ||||
\(944\) | −20.9873 | − | 28.9470i | −0.683080 | − | 0.942144i | ||||
\(945\) | −9.16348 | + | 11.0476i | −0.298088 | + | 0.359379i | ||||
\(946\) | 1.91096 | − | 7.95101i | 0.0621306 | − | 0.258510i | ||||
\(947\) | −4.55237 | − | 16.9897i | −0.147932 | − | 0.552091i | −0.999607 | − | 0.0280205i | \(-0.991080\pi\) |
0.851675 | − | 0.524070i | \(-0.175587\pi\) | |||||||
\(948\) | −6.56614 | − | 5.91808i | −0.213258 | − | 0.192210i | ||||
\(949\) | 8.53920 | − | 4.93011i | 0.277194 | − | 0.160038i | ||||
\(950\) | −31.0585 | + | 27.1592i | −1.00767 | + | 0.881160i | ||||
\(951\) | − | 1.20251i | − | 0.0389940i | ||||||
\(952\) | 24.6721 | − | 29.3427i | 0.799628 | − | 0.951003i | ||||
\(953\) | 12.8804 | − | 12.8804i | 0.417238 | − | 0.417238i | −0.467013 | − | 0.884251i | \(-0.654670\pi\) |
0.884251 | + | 0.467013i | \(0.154670\pi\) | |||||||
\(954\) | 36.5222 | − | 38.4672i | 1.18245 | − | 1.24542i | ||||
\(955\) | −0.528486 | − | 6.23978i | −0.0171014 | − | 0.201915i | ||||
\(956\) | 21.3868 | − | 1.11019i | 0.691699 | − | 0.0359061i | ||||
\(957\) | 1.68560 | − | 0.451656i | 0.0544878 | − | 0.0146000i | ||||
\(958\) | −38.4291 | + | 23.5363i | −1.24159 | + | 0.760423i | ||||
\(959\) | 27.1334 | + | 26.6782i | 0.876183 | + | 0.861484i | ||||
\(960\) | −6.53007 | + | 3.58339i | −0.210757 | + | 0.115653i | ||||
\(961\) | 17.4723 | − | 30.2629i | 0.563622 | − | 0.976222i | ||||
\(962\) | −1.50617 | − | 0.818267i | −0.0485609 | − | 0.0263820i | ||||
\(963\) | 10.1766 | − | 37.9798i | 0.327938 | − | 1.22388i | ||||
\(964\) | 13.6861 | + | 21.0977i | 0.440801 | + | 0.679512i | ||||
\(965\) | 6.56378 | + | 18.1906i | 0.211296 | + | 0.585575i | ||||
\(966\) | 2.53703 | − | 4.76553i | 0.0816278 | − | 0.153329i | ||||
\(967\) | −21.8531 | + | 21.8531i | −0.702748 | + | 0.702748i | −0.965000 | − | 0.262251i | \(-0.915535\pi\) |
0.262251 | + | 0.965000i | \(0.415535\pi\) | |||||||
\(968\) | 26.2802 | + | 12.5590i | 0.844678 | + | 0.403663i | ||||
\(969\) | −10.7791 | + | 6.22331i | −0.346274 | + | 0.199922i | ||||
\(970\) | −18.7654 | − | 2.86248i | −0.602521 | − | 0.0919086i | ||||
\(971\) | 49.5916 | + | 28.6317i | 1.59147 | + | 0.918836i | 0.993055 | + | 0.117650i | \(0.0375362\pi\) |
0.598416 | + | 0.801186i | \(0.295797\pi\) | |||||||
\(972\) | −19.7638 | + | 6.41081i | −0.633925 | + | 0.205627i | ||||
\(973\) | −1.89801 | + | 3.35263i | −0.0608475 | + | 0.107480i | ||||
\(974\) | 3.30035 | − | 13.7319i | 0.105750 | − | 0.440000i | ||||
\(975\) | −3.37743 | + | 0.576245i | −0.108164 | + | 0.0184546i | ||||
\(976\) | 2.99823 | − | 6.71618i | 0.0959710 | − | 0.214980i | ||||
\(977\) | −6.27313 | + | 23.4116i | −0.200695 | + | 0.749004i | 0.790024 | + | 0.613076i | \(0.210068\pi\) |
−0.990719 | + | 0.135928i | \(0.956598\pi\) | |||||||
\(978\) | −4.78662 | + | 0.124153i | −0.153059 | + | 0.00396998i | ||||
\(979\) | −2.42338 | −0.0774516 | ||||||||
\(980\) | −11.3298 | + | 29.1828i | −0.361917 | + | 0.932210i | ||||
\(981\) | 30.1401 | 0.962300 | ||||||||
\(982\) | −23.1148 | + | 0.599541i | −0.737623 | + | 0.0191321i | ||||
\(983\) | 3.67869 | − | 13.7291i | 0.117332 | − | 0.437889i | −0.882119 | − | 0.471027i | \(-0.843883\pi\) |
0.999451 | + | 0.0331380i | \(0.0105501\pi\) | |||||||
\(984\) | −0.110967 | − | 0.0206521i | −0.00353751 | − | 0.000658364i | ||||
\(985\) | 2.73340 | − | 15.2545i | 0.0870934 | − | 0.486049i | ||||
\(986\) | 8.46817 | − | 35.2339i | 0.269682 | − | 1.12208i | ||||
\(987\) | −2.96942 | + | 5.24515i | −0.0945176 | + | 0.166955i | ||||
\(988\) | −5.92542 | − | 18.2674i | −0.188513 | − | 0.581164i | ||||
\(989\) | −20.7096 | − | 11.9567i | −0.658527 | − | 0.380201i | ||||
\(990\) | 6.03396 | − | 4.43676i | 0.191772 | − | 0.141009i | ||||
\(991\) | 40.1223 | − | 23.1646i | 1.27453 | − | 0.735848i | 0.298689 | − | 0.954350i | \(-0.403451\pi\) |
0.975836 | + | 0.218503i | \(0.0701172\pi\) | |||||||
\(992\) | 27.9195 | + | 36.4791i | 0.886446 | + | 1.15821i | ||||
\(993\) | 10.2670 | − | 10.2670i | 0.325812 | − | 0.325812i | ||||
\(994\) | 23.9999 | − | 45.0811i | 0.761231 | − | 1.42989i | ||||
\(995\) | −11.7850 | + | 25.0911i | −0.373609 | + | 0.795442i | ||||
\(996\) | 4.31610 | − | 2.79986i | 0.136761 | − | 0.0887170i | ||||
\(997\) | −11.9107 | + | 44.4512i | −0.377214 | + | 1.40778i | 0.472869 | + | 0.881133i | \(0.343219\pi\) |
−0.850083 | + | 0.526649i | \(0.823448\pi\) | |||||||
\(998\) | 11.8006 | + | 6.41099i | 0.373541 | + | 0.202936i | ||||
\(999\) | 0.893438 | − | 1.54748i | 0.0282671 | − | 0.0489601i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))