Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(16,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.q (of order \(39\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{39})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{39}]$ |
Embedding invariants
Embedding label | 16.14 | ||
Character | \(\chi\) | \(=\) | 507.16 |
Dual form | 507.2.q.a.412.14 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{39}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.40692 | + | 0.194306i | 1.70195 | + | 0.137395i | 0.892872 | − | 0.450311i | \(-0.148687\pi\) |
0.809074 | + | 0.587706i | \(0.199969\pi\) | |||||||
\(3\) | 0.845190 | + | 0.534466i | 0.487971 | + | 0.308574i | ||||
\(4\) | 3.78139 | + | 0.614535i | 1.89069 | + | 0.307268i | ||||
\(5\) | −1.78205 | − | 1.57876i | −0.796958 | − | 0.706043i | 0.162865 | − | 0.986648i | \(-0.447926\pi\) |
−0.959823 | + | 0.280605i | \(0.909465\pi\) | |||||||
\(6\) | 1.93045 | + | 1.45064i | 0.788103 | + | 0.592221i | ||||
\(7\) | 1.67721 | − | 1.74616i | 0.633926 | − | 0.659986i | −0.324315 | − | 0.945949i | \(-0.605134\pi\) |
0.958241 | + | 0.285963i | \(0.0923133\pi\) | |||||||
\(8\) | 4.29291 | + | 1.05811i | 1.51777 | + | 0.374098i | ||||
\(9\) | 0.428693 | + | 0.903450i | 0.142898 | + | 0.301150i | ||||
\(10\) | −3.98249 | − | 4.14621i | −1.25937 | − | 1.31115i | ||||
\(11\) | −0.696010 | + | 1.46681i | −0.209855 | + | 0.442260i | −0.980898 | − | 0.194523i | \(-0.937684\pi\) |
0.771043 | + | 0.636783i | \(0.219735\pi\) | |||||||
\(12\) | 2.86754 | + | 2.54042i | 0.827788 | + | 0.733356i | ||||
\(13\) | 2.39109 | + | 2.69865i | 0.663168 | + | 0.748470i | ||||
\(14\) | 4.37619 | − | 3.87697i | 1.16959 | − | 1.03616i | ||||
\(15\) | −0.662379 | − | 2.28680i | −0.171026 | − | 0.590449i | ||||
\(16\) | 2.85940 | + | 0.954608i | 0.714850 | + | 0.238652i | ||||
\(17\) | 0.629690 | − | 0.655577i | 0.152722 | − | 0.159001i | −0.640446 | − | 0.768003i | \(-0.721251\pi\) |
0.793168 | + | 0.609002i | \(0.208430\pi\) | |||||||
\(18\) | 0.856281 | + | 2.25783i | 0.201827 | + | 0.532175i | ||||
\(19\) | −2.21123 | + | 3.82996i | −0.507290 | + | 0.878653i | 0.492674 | + | 0.870214i | \(0.336019\pi\) |
−0.999964 | + | 0.00843867i | \(0.997314\pi\) | |||||||
\(20\) | −5.76842 | − | 7.06504i | −1.28986 | − | 1.57979i | ||||
\(21\) | 2.35082 | − | 0.579426i | 0.512992 | − | 0.126441i | ||||
\(22\) | −1.96025 | + | 3.39525i | −0.417926 | + | 0.723870i | ||||
\(23\) | −2.23246 | − | 3.86674i | −0.465501 | − | 0.806271i | 0.533723 | − | 0.845659i | \(-0.320792\pi\) |
−0.999224 | + | 0.0393883i | \(0.987459\pi\) | |||||||
\(24\) | 3.06280 | + | 3.18872i | 0.625192 | + | 0.650894i | ||||
\(25\) | 0.0805421 | + | 0.663324i | 0.0161084 | + | 0.132665i | ||||
\(26\) | 5.23078 | + | 6.96002i | 1.02584 | + | 1.36497i | ||||
\(27\) | −0.120537 | + | 0.992709i | −0.0231973 | + | 0.191047i | ||||
\(28\) | 7.41525 | − | 5.57220i | 1.40135 | − | 1.05305i | ||||
\(29\) | −6.95644 | − | 0.561582i | −1.29178 | − | 0.104283i | −0.584602 | − | 0.811321i | \(-0.698749\pi\) |
−0.707176 | + | 0.707037i | \(0.750031\pi\) | |||||||
\(30\) | −1.14995 | − | 5.63284i | −0.209951 | − | 1.02841i | ||||
\(31\) | −0.235173 | + | 1.93683i | −0.0422384 | + | 0.347864i | 0.956234 | + | 0.292604i | \(0.0945218\pi\) |
−0.998472 | + | 0.0552600i | \(0.982401\pi\) | |||||||
\(32\) | −1.43833 | − | 0.612814i | −0.254263 | − | 0.108331i | ||||
\(33\) | −1.37222 | + | 0.867740i | −0.238873 | + | 0.151054i | ||||
\(34\) | 1.64299 | − | 1.45557i | 0.281771 | − | 0.249627i | ||||
\(35\) | −5.74564 | + | 0.463836i | −0.971191 | + | 0.0784026i | ||||
\(36\) | 1.06585 | + | 3.67974i | 0.177642 | + | 0.613290i | ||||
\(37\) | −2.53590 | + | 1.08044i | −0.416899 | + | 0.177624i | −0.590222 | − | 0.807241i | \(-0.700960\pi\) |
0.173323 | + | 0.984865i | \(0.444549\pi\) | |||||||
\(38\) | −6.06642 | + | 8.78873i | −0.984104 | + | 1.42572i | ||||
\(39\) | 0.578588 | + | 3.55883i | 0.0926482 | + | 0.569868i | ||||
\(40\) | −5.97970 | − | 8.66309i | −0.945473 | − | 1.36975i | ||||
\(41\) | −2.33678 | − | 1.47769i | −0.364944 | − | 0.230777i | 0.339389 | − | 0.940646i | \(-0.389780\pi\) |
−0.704333 | + | 0.709869i | \(0.748754\pi\) | |||||||
\(42\) | 5.77082 | − | 0.937849i | 0.890457 | − | 0.144713i | ||||
\(43\) | 1.49768 | + | 0.638101i | 0.228394 | + | 0.0973095i | 0.503132 | − | 0.864210i | \(-0.332181\pi\) |
−0.274738 | + | 0.961519i | \(0.588591\pi\) | |||||||
\(44\) | −3.53329 | + | 5.11885i | −0.532663 | + | 0.771696i | ||||
\(45\) | 0.662379 | − | 2.28680i | 0.0987417 | − | 0.340896i | ||||
\(46\) | −4.62202 | − | 9.74070i | −0.681479 | − | 1.43619i | ||||
\(47\) | 0.0319343 | − | 0.0842038i | 0.00465810 | − | 0.0122824i | −0.932667 | − | 0.360738i | \(-0.882525\pi\) |
0.937325 | + | 0.348456i | \(0.113294\pi\) | |||||||
\(48\) | 1.90653 | + | 2.33508i | 0.275184 | + | 0.337039i | ||||
\(49\) | 0.0458184 | + | 1.13697i | 0.00654548 | + | 0.162424i | ||||
\(50\) | 0.0649700 | + | 1.61221i | 0.00918815 | + | 0.228002i | ||||
\(51\) | 0.882591 | − | 0.217539i | 0.123587 | − | 0.0304616i | ||||
\(52\) | 7.38321 | + | 11.6740i | 1.02387 | + | 1.61890i | ||||
\(53\) | 8.03169 | + | 1.97963i | 1.10324 | + | 0.271923i | 0.748561 | − | 0.663066i | \(-0.230745\pi\) |
0.354676 | + | 0.934989i | \(0.384591\pi\) | |||||||
\(54\) | −0.483011 | + | 2.36595i | −0.0657295 | + | 0.321964i | ||||
\(55\) | 3.55607 | − | 1.51510i | 0.479500 | − | 0.204296i | ||||
\(56\) | 9.04774 | − | 5.72144i | 1.20906 | − | 0.764560i | ||||
\(57\) | −3.91589 | + | 2.05522i | −0.518672 | + | 0.272220i | ||||
\(58\) | −16.6344 | − | 2.70336i | −2.18421 | − | 0.354968i | ||||
\(59\) | −6.35372 | + | 2.12118i | −0.827184 | + | 0.276155i | −0.698572 | − | 0.715540i | \(-0.746181\pi\) |
−0.128613 | + | 0.991695i | \(0.541052\pi\) | |||||||
\(60\) | −1.09939 | − | 9.05432i | −0.141931 | − | 1.16891i | ||||
\(61\) | −1.45953 | + | 5.03887i | −0.186873 | + | 0.645161i | 0.811294 | + | 0.584639i | \(0.198764\pi\) |
−0.998167 | + | 0.0605222i | \(0.980723\pi\) | |||||||
\(62\) | −0.942379 | + | 4.61608i | −0.119682 | + | 0.586243i | ||||
\(63\) | 2.29658 | + | 0.766710i | 0.289341 | + | 0.0965964i | ||||
\(64\) | −8.68134 | − | 4.55632i | −1.08517 | − | 0.569540i | ||||
\(65\) | −0.000522863 | − | 8.58409i | −6.48532e−5 | − | 1.06472i | ||||
\(66\) | −3.47143 | + | 1.82195i | −0.427303 | + | 0.224266i | ||||
\(67\) | 9.88905 | − | 1.60713i | 1.20814 | − | 0.196342i | 0.477207 | − | 0.878791i | \(-0.341649\pi\) |
0.730933 | + | 0.682449i | \(0.239085\pi\) | |||||||
\(68\) | 2.78398 | − | 2.09202i | 0.337607 | − | 0.253695i | ||||
\(69\) | 0.179784 | − | 4.46130i | 0.0216435 | − | 0.537078i | ||||
\(70\) | −13.9194 | −1.66369 | ||||||||
\(71\) | 0.458426 | − | 11.3757i | 0.0544051 | − | 1.35005i | −0.709493 | − | 0.704712i | \(-0.751076\pi\) |
0.763898 | − | 0.645336i | \(-0.223283\pi\) | |||||||
\(72\) | 0.884392 | + | 4.33204i | 0.104227 | + | 0.510535i | ||||
\(73\) | −7.97686 | − | 11.5565i | −0.933621 | − | 1.35258i | −0.935780 | − | 0.352586i | \(-0.885303\pi\) |
0.00215885 | − | 0.999998i | \(-0.499313\pi\) | |||||||
\(74\) | −6.31362 | + | 2.10780i | −0.733944 | + | 0.245026i | ||||
\(75\) | −0.286451 | + | 0.603682i | −0.0330765 | + | 0.0697072i | ||||
\(76\) | −10.7151 | + | 13.1237i | −1.22911 | + | 1.50539i | ||||
\(77\) | 1.39393 | + | 3.67549i | 0.158853 | + | 0.418861i | ||||
\(78\) | 0.701110 | + | 8.67821i | 0.0793851 | + | 0.982614i | ||||
\(79\) | −1.73199 | + | 4.56688i | −0.194864 | + | 0.513814i | −0.996462 | − | 0.0840499i | \(-0.973214\pi\) |
0.801598 | + | 0.597864i | \(0.203984\pi\) | |||||||
\(80\) | −3.58850 | − | 6.21547i | −0.401207 | − | 0.694911i | ||||
\(81\) | −0.632445 | + | 0.774605i | −0.0702717 | + | 0.0860672i | ||||
\(82\) | −5.33731 | − | 4.01073i | −0.589408 | − | 0.442911i | ||||
\(83\) | 5.30072 | + | 2.78203i | 0.581830 | + | 0.305368i | 0.729840 | − | 0.683618i | \(-0.239595\pi\) |
−0.148010 | + | 0.988986i | \(0.547287\pi\) | |||||||
\(84\) | 9.24545 | − | 0.746370i | 1.00876 | − | 0.0814356i | ||||
\(85\) | −2.15714 | + | 0.174142i | −0.233975 | + | 0.0188884i | ||||
\(86\) | 3.48080 | + | 1.82686i | 0.375344 | + | 0.196996i | ||||
\(87\) | −5.57936 | − | 4.19262i | −0.598171 | − | 0.449496i | ||||
\(88\) | −4.53995 | + | 5.56043i | −0.483961 | + | 0.592744i | ||||
\(89\) | 8.08312 | + | 14.0004i | 0.856809 | + | 1.48404i | 0.874956 | + | 0.484202i | \(0.160890\pi\) |
−0.0181469 | + | 0.999835i | \(0.505777\pi\) | |||||||
\(90\) | 2.03863 | − | 5.37543i | 0.214891 | − | 0.566620i | ||||
\(91\) | 8.72263 | + | 0.350978i | 0.914380 | + | 0.0367925i | ||||
\(92\) | −6.06556 | − | 15.9936i | −0.632378 | − | 1.66744i | ||||
\(93\) | −1.23393 | + | 1.51129i | −0.127953 | + | 0.156714i | ||||
\(94\) | 0.0932245 | − | 0.196466i | 0.00961537 | − | 0.0202640i | ||||
\(95\) | 9.98711 | − | 3.33419i | 1.02466 | − | 0.342080i | ||||
\(96\) | −0.888131 | − | 1.28668i | −0.0906445 | − | 0.131321i | ||||
\(97\) | −0.118878 | − | 0.582303i | −0.0120702 | − | 0.0591239i | 0.973309 | − | 0.229497i | \(-0.0737080\pi\) |
−0.985380 | + | 0.170373i | \(0.945503\pi\) | |||||||
\(98\) | −0.110640 | + | 2.74550i | −0.0111763 | + | 0.277337i | ||||
\(99\) | −1.62356 | −0.163174 | ||||||||
\(100\) | −0.103075 | + | 2.55778i | −0.0103075 | + | 0.255778i | ||||
\(101\) | 13.8857 | − | 10.4345i | 1.38168 | − | 1.03827i | 0.388532 | − | 0.921435i | \(-0.372982\pi\) |
0.993152 | − | 0.116832i | \(-0.0372740\pi\) | |||||||
\(102\) | 2.16659 | − | 0.352105i | 0.214525 | − | 0.0348636i | ||||
\(103\) | 12.8747 | − | 6.75715i | 1.26858 | − | 0.665801i | 0.310029 | − | 0.950727i | \(-0.399661\pi\) |
0.958550 | + | 0.284926i | \(0.0919689\pi\) | |||||||
\(104\) | 7.40927 | + | 14.1151i | 0.726538 | + | 1.38410i | ||||
\(105\) | −5.10407 | − | 2.67882i | −0.498106 | − | 0.261426i | ||||
\(106\) | 18.9469 | + | 6.32542i | 1.84029 | + | 0.614379i | ||||
\(107\) | 1.72179 | − | 8.43388i | 0.166452 | − | 0.815334i | −0.807727 | − | 0.589556i | \(-0.799303\pi\) |
0.974179 | − | 0.225778i | \(-0.0724923\pi\) | |||||||
\(108\) | −1.06585 | + | 3.67974i | −0.102561 | + | 0.354083i | ||||
\(109\) | −1.15665 | − | 9.52585i | −0.110787 | − | 0.912411i | −0.937066 | − | 0.349151i | \(-0.886470\pi\) |
0.826280 | − | 0.563260i | \(-0.190453\pi\) | |||||||
\(110\) | 8.85355 | − | 2.95575i | 0.844153 | − | 0.281820i | ||||
\(111\) | −2.72077 | − | 0.442169i | −0.258244 | − | 0.0419688i | ||||
\(112\) | 6.46271 | − | 3.39189i | 0.610669 | − | 0.320504i | ||||
\(113\) | −2.01526 | + | 1.27437i | −0.189579 | + | 0.119883i | −0.625884 | − | 0.779916i | \(-0.715262\pi\) |
0.436304 | + | 0.899799i | \(0.356287\pi\) | |||||||
\(114\) | −9.82455 | + | 4.18585i | −0.920154 | + | 0.392041i | ||||
\(115\) | −2.12629 | + | 10.4153i | −0.198278 | + | 0.971228i | ||||
\(116\) | −25.9599 | − | 6.39853i | −2.41031 | − | 0.594089i | ||||
\(117\) | −1.41305 | + | 3.31712i | −0.130637 | + | 0.306668i | ||||
\(118\) | −15.7050 | + | 3.87094i | −1.44577 | + | 0.356349i | ||||
\(119\) | −0.0886199 | − | 2.19908i | −0.00812377 | − | 0.201589i | ||||
\(120\) | −0.423857 | − | 10.5179i | −0.0386927 | − | 0.960148i | ||||
\(121\) | 5.28980 | + | 6.47882i | 0.480891 | + | 0.588984i | ||||
\(122\) | −4.49204 | + | 11.8445i | −0.406690 | + | 1.07235i | ||||
\(123\) | −1.18525 | − | 2.49786i | −0.106870 | − | 0.225225i | ||||
\(124\) | −2.07953 | + | 7.17936i | −0.186747 | + | 0.644726i | ||||
\(125\) | −5.85854 | + | 8.48755i | −0.524003 | + | 0.759150i | ||||
\(126\) | 5.37869 | + | 2.29164i | 0.479172 | + | 0.204156i | ||||
\(127\) | 16.6329 | − | 2.70310i | 1.47593 | − | 0.239861i | 0.631435 | − | 0.775429i | \(-0.282466\pi\) |
0.844492 | + | 0.535568i | \(0.179902\pi\) | |||||||
\(128\) | −17.3671 | − | 10.9823i | −1.53505 | − | 0.970708i | ||||
\(129\) | 0.924779 | + | 1.33977i | 0.0814223 | + | 0.117961i | ||||
\(130\) | 1.66668 | − | 20.6613i | 0.146178 | − | 1.81211i | ||||
\(131\) | −8.24346 | + | 11.9427i | −0.720235 | + | 1.04344i | 0.276365 | + | 0.961053i | \(0.410870\pi\) |
−0.996600 | + | 0.0823877i | \(0.973745\pi\) | |||||||
\(132\) | −5.72215 | + | 2.43798i | −0.498050 | + | 0.212199i | ||||
\(133\) | 2.97903 | + | 10.2848i | 0.258314 | + | 0.891805i | ||||
\(134\) | 24.1144 | − | 1.94672i | 2.08317 | − | 0.168171i | ||||
\(135\) | 1.78205 | − | 1.57876i | 0.153375 | − | 0.135878i | ||||
\(136\) | 3.39688 | − | 2.14805i | 0.291280 | − | 0.184194i | ||||
\(137\) | −17.0426 | − | 7.26119i | −1.45605 | − | 0.620366i | −0.488392 | − | 0.872624i | \(-0.662416\pi\) |
−0.967660 | + | 0.252259i | \(0.918827\pi\) | |||||||
\(138\) | 1.29959 | − | 10.7030i | 0.110628 | − | 0.911104i | ||||
\(139\) | 3.81708 | + | 18.6973i | 0.323761 | + | 1.58588i | 0.737409 | + | 0.675447i | \(0.236049\pi\) |
−0.413648 | + | 0.910437i | \(0.635746\pi\) | |||||||
\(140\) | −22.0115 | − | 1.77696i | −1.86031 | − | 0.150180i | ||||
\(141\) | 0.0719946 | − | 0.0541004i | 0.00606304 | − | 0.00455608i | ||||
\(142\) | 3.31376 | − | 27.2913i | 0.278085 | − | 2.29024i | ||||
\(143\) | −5.62263 | + | 1.62898i | −0.470188 | + | 0.136223i | ||||
\(144\) | 0.363363 | + | 2.99256i | 0.0302802 | + | 0.249380i | ||||
\(145\) | 11.5101 | + | 11.9833i | 0.955864 | + | 0.995160i | ||||
\(146\) | −16.9541 | − | 29.3654i | −1.40313 | − | 2.43030i | ||||
\(147\) | −0.568947 | + | 0.985445i | −0.0469260 | + | 0.0812781i | ||||
\(148\) | −10.2532 | + | 2.52718i | −0.842805 | + | 0.207733i | ||||
\(149\) | −2.10112 | − | 2.57340i | −0.172130 | − | 0.210821i | 0.681334 | − | 0.731973i | \(-0.261400\pi\) |
−0.853464 | + | 0.521151i | \(0.825503\pi\) | |||||||
\(150\) | −0.806762 | + | 1.39735i | −0.0658718 | + | 0.114093i | ||||
\(151\) | −6.15529 | − | 16.2302i | −0.500910 | − | 1.32079i | −0.912371 | − | 0.409364i | \(-0.865751\pi\) |
0.411461 | − | 0.911427i | \(-0.365019\pi\) | |||||||
\(152\) | −13.5451 | + | 14.1020i | −1.09865 | + | 1.14382i | ||||
\(153\) | 0.862225 | + | 0.287853i | 0.0697067 | + | 0.0232715i | ||||
\(154\) | 2.64090 | + | 9.11745i | 0.212810 | + | 0.734705i | ||||
\(155\) | 3.47688 | − | 3.08024i | 0.279269 | − | 0.247411i | ||||
\(156\) | 0.000841351 | 13.8129i | 6.73620e−5 | 1.10591i | ||||||
\(157\) | 11.1260 | + | 9.85681i | 0.887954 | + | 0.786659i | 0.977853 | − | 0.209292i | \(-0.0671160\pi\) |
−0.0898990 | + | 0.995951i | \(0.528654\pi\) | |||||||
\(158\) | −5.05612 | + | 10.6556i | −0.402244 | + | 0.847711i | ||||
\(159\) | 5.73026 | + | 5.96583i | 0.454439 | + | 0.473121i | ||||
\(160\) | 1.59569 | + | 3.36284i | 0.126150 | + | 0.265856i | ||||
\(161\) | −10.4963 | − | 2.58709i | −0.827221 | − | 0.203892i | ||||
\(162\) | −1.67275 | + | 1.74152i | −0.131424 | + | 0.136827i | ||||
\(163\) | 4.10868 | + | 3.08747i | 0.321816 | + | 0.241829i | 0.749356 | − | 0.662167i | \(-0.230363\pi\) |
−0.427540 | + | 0.903997i | \(0.640620\pi\) | |||||||
\(164\) | −7.92818 | − | 7.02376i | −0.619087 | − | 0.548463i | ||||
\(165\) | 3.81532 | + | 0.620050i | 0.297023 | + | 0.0482709i | ||||
\(166\) | 12.2178 | + | 7.72608i | 0.948286 | + | 0.599660i | ||||
\(167\) | 6.87369 | + | 0.554901i | 0.531902 | + | 0.0429396i | 0.343500 | − | 0.939153i | \(-0.388387\pi\) |
0.188402 | + | 0.982092i | \(0.439669\pi\) | |||||||
\(168\) | 10.7050 | 0.825907 | ||||||||
\(169\) | −1.56540 | + | 12.9054i | −0.120416 | + | 0.992724i | ||||
\(170\) | −5.22589 | −0.400807 | ||||||||
\(171\) | −4.40811 | − | 0.355860i | −0.337097 | − | 0.0272133i | ||||
\(172\) | 5.27116 | + | 3.33328i | 0.401922 | + | 0.254160i | ||||
\(173\) | 18.1718 | + | 2.95320i | 1.38157 | + | 0.224528i | 0.805367 | − | 0.592776i | \(-0.201968\pi\) |
0.576207 | + | 0.817304i | \(0.304532\pi\) | |||||||
\(174\) | −12.6144 | − | 11.1754i | −0.956296 | − | 0.847204i | ||||
\(175\) | 1.29336 | + | 0.971894i | 0.0977685 | + | 0.0734683i | ||||
\(176\) | −3.39040 | + | 3.52978i | −0.255561 | + | 0.266067i | ||||
\(177\) | −6.50380 | − | 1.60304i | −0.488856 | − | 0.120492i | ||||
\(178\) | 16.7350 | + | 35.2683i | 1.25434 | + | 2.64347i | ||||
\(179\) | −12.2992 | − | 12.8048i | −0.919282 | − | 0.957074i | 0.0799288 | − | 0.996801i | \(-0.474531\pi\) |
−0.999211 | + | 0.0397269i | \(0.987351\pi\) | |||||||
\(180\) | 3.91003 | − | 8.24021i | 0.291436 | − | 0.614189i | ||||
\(181\) | 0.559017 | + | 0.495246i | 0.0415514 | + | 0.0368114i | 0.683643 | − | 0.729817i | \(-0.260395\pi\) |
−0.642091 | + | 0.766628i | \(0.721933\pi\) | |||||||
\(182\) | 20.9264 | + | 2.53963i | 1.55117 | + | 0.188250i | ||||
\(183\) | −3.92668 | + | 3.47873i | −0.290269 | + | 0.257155i | ||||
\(184\) | −5.49234 | − | 18.9618i | −0.404901 | − | 1.39788i | ||||
\(185\) | 6.22486 | + | 2.07816i | 0.457661 | + | 0.152790i | ||||
\(186\) | −3.26363 | + | 3.39780i | −0.239301 | + | 0.249138i | ||||
\(187\) | 0.523336 | + | 1.37992i | 0.0382701 | + | 0.100910i | ||||
\(188\) | 0.172502 | − | 0.298782i | 0.0125810 | − | 0.0217909i | ||||
\(189\) | 1.53126 | + | 1.87546i | 0.111383 | + | 0.136419i | ||||
\(190\) | 24.6860 | − | 6.08455i | 1.79091 | − | 0.441419i | ||||
\(191\) | −0.433314 | + | 0.750523i | −0.0313535 | + | 0.0543059i | −0.881276 | − | 0.472601i | \(-0.843315\pi\) |
0.849923 | + | 0.526907i | \(0.176648\pi\) | |||||||
\(192\) | −4.90219 | − | 8.49084i | −0.353785 | − | 0.612773i | ||||
\(193\) | −10.1673 | − | 10.5853i | −0.731857 | − | 0.761944i | 0.246438 | − | 0.969158i | \(-0.420740\pi\) |
−0.978296 | + | 0.207214i | \(0.933560\pi\) | |||||||
\(194\) | −0.172984 | − | 1.42465i | −0.0124195 | − | 0.102284i | ||||
\(195\) | 4.58746 | − | 7.25546i | 0.328515 | − | 0.519575i | ||||
\(196\) | −0.525452 | + | 4.32748i | −0.0375323 | + | 0.309106i | ||||
\(197\) | −1.56704 | + | 1.17755i | −0.111647 | + | 0.0838973i | −0.655099 | − | 0.755543i | \(-0.727373\pi\) |
0.543452 | + | 0.839440i | \(0.317117\pi\) | |||||||
\(198\) | −3.90778 | − | 0.315469i | −0.277714 | − | 0.0224194i | ||||
\(199\) | 1.49866 | + | 7.34090i | 0.106237 | + | 0.520383i | 0.997730 | + | 0.0673475i | \(0.0214536\pi\) |
−0.891493 | + | 0.453035i | \(0.850341\pi\) | |||||||
\(200\) | −0.356108 | + | 2.93281i | −0.0251806 | + | 0.207381i | ||||
\(201\) | 9.21709 | + | 3.92703i | 0.650123 | + | 0.276992i | ||||
\(202\) | 35.4493 | − | 22.4168i | 2.49420 | − | 1.57724i | ||||
\(203\) | −12.6480 | + | 11.2052i | −0.887716 | + | 0.786448i | ||||
\(204\) | 3.47110 | − | 0.280216i | 0.243026 | − | 0.0196191i | ||||
\(205\) | 1.83135 | + | 6.32254i | 0.127907 | + | 0.441586i | ||||
\(206\) | 32.3012 | − | 13.7622i | 2.25053 | − | 0.958861i | ||||
\(207\) | 2.53637 | − | 3.67456i | 0.176290 | − | 0.255400i | ||||
\(208\) | 4.26092 | + | 9.99907i | 0.295442 | + | 0.693311i | ||||
\(209\) | −4.07879 | − | 5.90914i | −0.282135 | − | 0.408744i | ||||
\(210\) | −11.7645 | − | 7.43945i | −0.811831 | − | 0.513371i | ||||
\(211\) | 1.51308 | − | 0.245899i | 0.104165 | − | 0.0169284i | −0.108106 | − | 0.994139i | \(-0.534478\pi\) |
0.212270 | + | 0.977211i | \(0.431914\pi\) | |||||||
\(212\) | 29.1544 | + | 12.4215i | 2.00233 | + | 0.853113i | ||||
\(213\) | 6.46739 | − | 9.36963i | 0.443138 | − | 0.641996i | ||||
\(214\) | 5.78296 | − | 19.9651i | 0.395315 | − | 1.36479i | ||||
\(215\) | −1.66153 | − | 3.50160i | −0.113316 | − | 0.238807i | ||||
\(216\) | −1.56785 | + | 4.13407i | −0.106678 | + | 0.281288i | ||||
\(217\) | 2.98757 | + | 3.65911i | 0.202810 | + | 0.248397i | ||||
\(218\) | −0.933020 | − | 23.1527i | −0.0631921 | − | 1.56810i | ||||
\(219\) | −0.565421 | − | 14.0308i | −0.0382076 | − | 0.948112i | ||||
\(220\) | 14.3780 | − | 3.54385i | 0.969361 | − | 0.238926i | ||||
\(221\) | 3.27481 | + | 0.131771i | 0.220288 | + | 0.00886386i | ||||
\(222\) | −6.46276 | − | 1.59293i | −0.433752 | − | 0.106910i | ||||
\(223\) | 3.45545 | − | 16.9259i | 0.231394 | − | 1.13344i | −0.683564 | − | 0.729891i | \(-0.739571\pi\) |
0.914957 | − | 0.403551i | \(-0.132224\pi\) | |||||||
\(224\) | −3.48245 | + | 1.48373i | −0.232681 | + | 0.0991360i | ||||
\(225\) | −0.564753 | + | 0.357128i | −0.0376502 | + | 0.0238085i | ||||
\(226\) | −5.09817 | + | 2.67573i | −0.339125 | + | 0.177987i | ||||
\(227\) | −23.4199 | − | 3.80611i | −1.55443 | − | 0.252620i | −0.678336 | − | 0.734752i | \(-0.737298\pi\) |
−0.876099 | + | 0.482132i | \(0.839863\pi\) | |||||||
\(228\) | −16.0705 | + | 5.36512i | −1.06429 | + | 0.355314i | ||||
\(229\) | 1.64957 | + | 13.5854i | 0.109007 | + | 0.897751i | 0.939931 | + | 0.341365i | \(0.110889\pi\) |
−0.830924 | + | 0.556386i | \(0.812188\pi\) | |||||||
\(230\) | −7.14155 | + | 24.6555i | −0.470900 | + | 1.62573i | ||||
\(231\) | −0.786289 | + | 3.85150i | −0.0517340 | + | 0.253410i | ||||
\(232\) | −29.2692 | − | 9.77148i | −1.92161 | − | 0.641529i | ||||
\(233\) | 15.5076 | + | 8.13904i | 1.01594 | + | 0.533206i | 0.888614 | − | 0.458655i | \(-0.151669\pi\) |
0.127325 | + | 0.991861i | \(0.459361\pi\) | |||||||
\(234\) | −4.04564 | + | 7.70946i | −0.264472 | + | 0.503983i | ||||
\(235\) | −0.189846 | + | 0.0996390i | −0.0123842 | + | 0.00649973i | ||||
\(236\) | −25.3294 | + | 4.11643i | −1.64880 | + | 0.267957i | ||||
\(237\) | −3.90470 | + | 2.93419i | −0.253638 | + | 0.190596i | ||||
\(238\) | 0.213994 | − | 5.31022i | 0.0138712 | − | 0.344210i | ||||
\(239\) | −16.9722 | −1.09784 | −0.548920 | − | 0.835875i | \(-0.684961\pi\) | ||||
−0.548920 | + | 0.835875i | \(0.684961\pi\) | |||||||
\(240\) | 0.288989 | − | 7.17119i | 0.0186542 | − | 0.462898i | ||||
\(241\) | 2.77223 | + | 13.5793i | 0.178575 | + | 0.874719i | 0.966047 | + | 0.258368i | \(0.0831847\pi\) |
−0.787471 | + | 0.616351i | \(0.788610\pi\) | |||||||
\(242\) | 11.4732 | + | 16.6218i | 0.737526 | + | 1.06849i | ||||
\(243\) | −0.948536 | + | 0.316668i | −0.0608486 | + | 0.0203143i | ||||
\(244\) | −8.61559 | + | 18.1570i | −0.551557 | + | 1.16238i | ||||
\(245\) | 1.71335 | − | 2.09848i | 0.109462 | − | 0.134067i | ||||
\(246\) | −2.36745 | − | 6.24244i | −0.150943 | − | 0.398004i | ||||
\(247\) | −15.6229 | + | 3.19044i | −0.994064 | + | 0.203003i | ||||
\(248\) | −3.05895 | + | 8.06578i | −0.194243 | + | 0.512178i | ||||
\(249\) | 2.99321 | + | 5.18440i | 0.189687 | + | 0.328548i | ||||
\(250\) | −15.7502 | + | 19.2905i | −0.996129 | + | 1.22004i | ||||
\(251\) | −15.2476 | − | 11.4578i | −0.962417 | − | 0.723210i | −0.00148669 | − | 0.999999i | \(-0.500473\pi\) |
−0.960931 | + | 0.276789i | \(0.910730\pi\) | |||||||
\(252\) | 8.21307 | + | 4.31055i | 0.517375 | + | 0.271539i | ||||
\(253\) | 7.22559 | − | 0.583310i | 0.454269 | − | 0.0366724i | ||||
\(254\) | 40.5591 | − | 3.27427i | 2.54490 | − | 0.205446i | ||||
\(255\) | −1.91627 | − | 1.00573i | −0.120001 | − | 0.0629815i | ||||
\(256\) | −23.9912 | − | 18.0282i | −1.49945 | − | 1.12676i | ||||
\(257\) | 6.90987 | − | 8.46306i | 0.431026 | − | 0.527911i | −0.512732 | − | 0.858549i | \(-0.671366\pi\) |
0.943758 | + | 0.330638i | \(0.107264\pi\) | |||||||
\(258\) | 1.96554 | + | 3.40441i | 0.122369 | + | 0.211949i | ||||
\(259\) | −2.36660 | + | 6.24021i | −0.147053 | + | 0.387748i | ||||
\(260\) | 5.27324 | − | 32.4601i | 0.327033 | − | 2.01309i | ||||
\(261\) | −2.47481 | − | 6.52554i | −0.153187 | − | 0.403921i | ||||
\(262\) | −22.1619 | + | 27.1434i | −1.36916 | + | 1.67692i | ||||
\(263\) | −1.38727 | + | 2.92360i | −0.0855424 | + | 0.180277i | −0.941714 | − | 0.336415i | \(-0.890785\pi\) |
0.856171 | + | 0.516692i | \(0.172837\pi\) | |||||||
\(264\) | −6.80899 | + | 2.27317i | −0.419064 | + | 0.139904i | ||||
\(265\) | −11.1875 | − | 16.2079i | −0.687244 | − | 0.995645i | ||||
\(266\) | 5.17187 | + | 25.3335i | 0.317108 | + | 1.55330i | ||||
\(267\) | −0.650949 | + | 16.1531i | −0.0398374 | + | 0.988556i | ||||
\(268\) | 38.3820 | 2.34455 | ||||||||
\(269\) | 0.335240 | − | 8.31890i | 0.0204399 | − | 0.507212i | −0.956249 | − | 0.292553i | \(-0.905495\pi\) |
0.976689 | − | 0.214659i | \(-0.0688639\pi\) | |||||||
\(270\) | 4.59601 | − | 3.45368i | 0.279704 | − | 0.210184i | ||||
\(271\) | −22.0577 | + | 3.58472i | −1.33991 | + | 0.217756i | −0.787756 | − | 0.615987i | \(-0.788757\pi\) |
−0.552152 | + | 0.833743i | \(0.686193\pi\) | |||||||
\(272\) | 2.42636 | − | 1.27345i | 0.147119 | − | 0.0772142i | ||||
\(273\) | 7.18469 | + | 4.95859i | 0.434837 | + | 0.300107i | ||||
\(274\) | −39.6093 | − | 20.7886i | −2.39289 | − | 1.25588i | ||||
\(275\) | −1.02903 | − | 0.343540i | −0.0620528 | − | 0.0207163i | ||||
\(276\) | 3.42146 | − | 16.7594i | 0.205948 | − | 1.00880i | ||||
\(277\) | 0.862729 | − | 2.97848i | 0.0518363 | − | 0.178960i | −0.930423 | − | 0.366487i | \(-0.880560\pi\) |
0.982259 | + | 0.187528i | \(0.0600474\pi\) | |||||||
\(278\) | 5.55439 | + | 45.7445i | 0.333130 | + | 2.74357i | ||||
\(279\) | −1.85064 | + | 0.617835i | −0.110795 | + | 0.0369888i | ||||
\(280\) | −25.1563 | − | 4.08830i | −1.50338 | − | 0.244323i | ||||
\(281\) | 22.0618 | − | 11.5789i | 1.31609 | − | 0.690740i | 0.347102 | − | 0.937828i | \(-0.387166\pi\) |
0.968993 | + | 0.247088i | \(0.0794736\pi\) | |||||||
\(282\) | 0.183797 | − | 0.116226i | 0.0109450 | − | 0.00692117i | ||||
\(283\) | 9.72819 | − | 4.14479i | 0.578281 | − | 0.246382i | −0.0829640 | − | 0.996553i | \(-0.526439\pi\) |
0.661245 | + | 0.750170i | \(0.270028\pi\) | |||||||
\(284\) | 8.72426 | − | 42.7342i | 0.517689 | − | 2.53581i | ||||
\(285\) | 10.2230 | + | 2.51975i | 0.605559 | + | 0.149257i | ||||
\(286\) | −13.8497 | + | 2.82832i | −0.818950 | + | 0.167242i | ||||
\(287\) | −6.49956 | + | 1.60200i | −0.383657 | + | 0.0945629i | ||||
\(288\) | −0.0629531 | − | 1.56217i | −0.00370955 | − | 0.0920515i | ||||
\(289\) | 0.651250 | + | 16.1606i | 0.0383088 | + | 0.950623i | ||||
\(290\) | 25.3755 | + | 31.0793i | 1.49010 | + | 1.82504i | ||||
\(291\) | 0.210746 | − | 0.555693i | 0.0123542 | − | 0.0325753i | ||||
\(292\) | −23.0617 | − | 48.6016i | −1.34959 | − | 2.84419i | ||||
\(293\) | −8.50388 | + | 29.3588i | −0.496802 | + | 1.71516i | 0.184211 | + | 0.982887i | \(0.441027\pi\) |
−0.681012 | + | 0.732272i | \(0.738460\pi\) | |||||||
\(294\) | −1.56089 | + | 2.26133i | −0.0910327 | + | 0.131884i | ||||
\(295\) | 14.6715 | + | 6.25095i | 0.854208 | + | 0.363944i | ||||
\(296\) | −12.0296 | + | 1.95500i | −0.699207 | + | 0.113632i | ||||
\(297\) | −1.37222 | − | 0.867740i | −0.0796243 | − | 0.0503514i | ||||
\(298\) | −4.55718 | − | 6.60222i | −0.263991 | − | 0.382456i | ||||
\(299\) | 5.09696 | − | 15.2703i | 0.294765 | − | 0.883107i | ||||
\(300\) | −1.45416 | + | 2.10672i | −0.0839562 | + | 0.121632i | ||||
\(301\) | 3.62615 | − | 1.54496i | 0.209008 | − | 0.0890498i | ||||
\(302\) | −11.6616 | − | 40.2606i | −0.671051 | − | 2.31674i | ||||
\(303\) | 17.3130 | − | 1.39765i | 0.994603 | − | 0.0802927i | ||||
\(304\) | −9.97889 | + | 8.84053i | −0.572329 | + | 0.507039i | ||||
\(305\) | 10.5561 | − | 6.67529i | 0.604442 | − | 0.382226i | ||||
\(306\) | 2.01937 | + | 0.860373i | 0.115440 | + | 0.0491843i | ||||
\(307\) | 4.03924 | − | 33.2662i | 0.230532 | − | 1.89860i | −0.175080 | − | 0.984554i | \(-0.556018\pi\) |
0.405611 | − | 0.914046i | \(-0.367059\pi\) | |||||||
\(308\) | 3.01227 | + | 14.7551i | 0.171640 | + | 0.840749i | ||||
\(309\) | 14.4930 | + | 1.17000i | 0.824478 | + | 0.0665588i | ||||
\(310\) | 8.96705 | − | 6.73830i | 0.509294 | − | 0.382710i | ||||
\(311\) | 1.89293 | − | 15.5897i | 0.107338 | − | 0.884012i | −0.835207 | − | 0.549935i | \(-0.814652\pi\) |
0.942546 | − | 0.334077i | \(-0.108424\pi\) | |||||||
\(312\) | −1.28179 | + | 15.8899i | −0.0725673 | + | 0.899590i | ||||
\(313\) | −0.794168 | − | 6.54056i | −0.0448890 | − | 0.369694i | −0.997792 | − | 0.0664185i | \(-0.978843\pi\) |
0.952903 | − | 0.303276i | \(-0.0980803\pi\) | |||||||
\(314\) | 24.8642 | + | 25.8864i | 1.40317 | + | 1.46085i | ||||
\(315\) | −2.88217 | − | 4.99206i | −0.162392 | − | 0.281271i | ||||
\(316\) | −9.35583 | + | 16.2048i | −0.526306 | + | 0.911589i | ||||
\(317\) | 19.9347 | − | 4.91347i | 1.11965 | − | 0.275968i | 0.364292 | − | 0.931285i | \(-0.381311\pi\) |
0.755354 | + | 0.655316i | \(0.227465\pi\) | |||||||
\(318\) | 12.6330 | + | 15.4727i | 0.708426 | + | 0.867664i | ||||
\(319\) | 5.66548 | − | 9.81291i | 0.317206 | − | 0.549417i | ||||
\(320\) | 8.27727 | + | 21.8254i | 0.462713 | + | 1.22007i | ||||
\(321\) | 5.96286 | − | 6.20800i | 0.332814 | − | 0.346497i | ||||
\(322\) | −24.7609 | − | 8.26640i | −1.37987 | − | 0.460669i | ||||
\(323\) | 1.11844 | + | 3.86132i | 0.0622319 | + | 0.214849i | ||||
\(324\) | −2.86754 | + | 2.54042i | −0.159308 | + | 0.141134i | ||||
\(325\) | −1.59750 | + | 1.80342i | −0.0886131 | + | 0.100036i | ||||
\(326\) | 9.28932 | + | 8.22962i | 0.514488 | + | 0.455797i | ||||
\(327\) | 4.11365 | − | 8.66934i | 0.227486 | − | 0.479416i | ||||
\(328\) | −8.46805 | − | 8.81617i | −0.467570 | − | 0.486792i | ||||
\(329\) | −0.0934728 | − | 0.196990i | −0.00515332 | − | 0.0108604i | ||||
\(330\) | 9.06268 | + | 2.23375i | 0.498884 | + | 0.122964i | ||||
\(331\) | −2.15489 | + | 2.24348i | −0.118443 | + | 0.123313i | −0.777784 | − | 0.628532i | \(-0.783656\pi\) |
0.659340 | + | 0.751845i | \(0.270836\pi\) | |||||||
\(332\) | 18.3344 | + | 13.7774i | 1.00623 | + | 0.756134i | ||||
\(333\) | −2.06325 | − | 1.82788i | −0.113065 | − | 0.100167i | ||||
\(334\) | 16.4366 | + | 2.67120i | 0.899369 | + | 0.146162i | ||||
\(335\) | −20.1601 | − | 12.7485i | −1.10146 | − | 0.696523i | ||||
\(336\) | 7.27507 | + | 0.587305i | 0.396888 | + | 0.0320401i | ||||
\(337\) | 2.33252 | 0.127060 | 0.0635302 | − | 0.997980i | \(-0.479764\pi\) | ||||
0.0635302 | + | 0.997980i | \(0.479764\pi\) | |||||||
\(338\) | −6.27540 | + | 30.7581i | −0.341337 | + | 1.67302i | ||||
\(339\) | −2.38438 | −0.129502 | ||||||||
\(340\) | −8.26399 | − | 0.667139i | −0.448178 | − | 0.0361807i | ||||
\(341\) | −2.67727 | − | 1.69300i | −0.144982 | − | 0.0916814i | ||||
\(342\) | −10.5408 | − | 1.71305i | −0.569982 | − | 0.0926311i | ||||
\(343\) | 14.7481 | + | 13.0657i | 0.796324 | + | 0.705482i | ||||
\(344\) | 5.75422 | + | 4.32402i | 0.310247 | + | 0.233135i | ||||
\(345\) | −7.36372 | + | 7.66644i | −0.396449 | + | 0.412747i | ||||
\(346\) | 43.1641 | + | 10.6390i | 2.32052 | + | 0.571956i | ||||
\(347\) | 3.82777 | + | 8.06685i | 0.205485 | + | 0.433051i | 0.979863 | − | 0.199673i | \(-0.0639880\pi\) |
−0.774377 | + | 0.632724i | \(0.781937\pi\) | |||||||
\(348\) | −18.5212 | − | 19.2826i | −0.992842 | − | 1.03366i | ||||
\(349\) | 12.6389 | − | 26.6360i | 0.676546 | − | 1.42579i | −0.216707 | − | 0.976237i | \(-0.569532\pi\) |
0.893253 | − | 0.449554i | \(-0.148417\pi\) | |||||||
\(350\) | 2.92415 | + | 2.59057i | 0.156303 | + | 0.138472i | ||||
\(351\) | −2.96719 | + | 2.04837i | −0.158377 | + | 0.109334i | ||||
\(352\) | 1.89997 | − | 1.68323i | 0.101269 | − | 0.0897163i | ||||
\(353\) | 0.775948 | + | 2.67888i | 0.0412996 | + | 0.142583i | 0.978519 | − | 0.206159i | \(-0.0660963\pi\) |
−0.937219 | + | 0.348741i | \(0.886609\pi\) | |||||||
\(354\) | −15.3426 | − | 5.12212i | −0.815451 | − | 0.272238i | ||||
\(355\) | −18.7765 | + | 19.5484i | −0.996551 | + | 1.03752i | ||||
\(356\) | 21.9617 | + | 57.9082i | 1.16397 | + | 3.06913i | ||||
\(357\) | 1.10043 | − | 1.90600i | 0.0582410 | − | 0.100876i | ||||
\(358\) | −27.1150 | − | 33.2098i | −1.43307 | − | 1.75519i | ||||
\(359\) | 11.4942 | − | 2.83307i | 0.606642 | − | 0.149524i | 0.0759829 | − | 0.997109i | \(-0.475791\pi\) |
0.530659 | + | 0.847585i | \(0.321944\pi\) | |||||||
\(360\) | 5.26322 | − | 9.11616i | 0.277396 | − | 0.480464i | ||||
\(361\) | −0.279051 | − | 0.483331i | −0.0146869 | − | 0.0254385i | ||||
\(362\) | 1.24928 | + | 1.30064i | 0.0656606 | + | 0.0683599i | ||||
\(363\) | 1.00817 | + | 8.30305i | 0.0529154 | + | 0.435797i | ||||
\(364\) | 32.7679 | + | 6.68754i | 1.71751 | + | 0.350522i | ||||
\(365\) | −4.02973 | + | 33.1878i | −0.210926 | + | 1.73713i | ||||
\(366\) | −10.1271 | + | 7.61004i | −0.529353 | + | 0.397783i | ||||
\(367\) | −32.4015 | − | 2.61572i | −1.69135 | − | 0.136540i | −0.803081 | − | 0.595870i | \(-0.796807\pi\) |
−0.888266 | + | 0.459330i | \(0.848090\pi\) | |||||||
\(368\) | −2.69229 | − | 13.1877i | −0.140345 | − | 0.687456i | ||||
\(369\) | 0.333260 | − | 2.74464i | 0.0173488 | − | 0.142880i | ||||
\(370\) | 14.5789 | + | 6.21149i | 0.757922 | + | 0.322920i | ||||
\(371\) | 16.9276 | − | 10.7044i | 0.878836 | − | 0.555742i | ||||
\(372\) | −5.59472 | + | 4.95649i | −0.290073 | + | 0.256982i | ||||
\(373\) | 11.0220 | − | 0.889787i | 0.570697 | − | 0.0460714i | 0.208250 | − | 0.978076i | \(-0.433223\pi\) |
0.362447 | + | 0.932004i | \(0.381941\pi\) | |||||||
\(374\) | 0.991498 | + | 3.42305i | 0.0512691 | + | 0.177002i | ||||
\(375\) | −9.48788 | + | 4.04241i | −0.489952 | + | 0.208749i | ||||
\(376\) | 0.226188 | − | 0.327690i | 0.0116647 | − | 0.0168993i | ||||
\(377\) | −15.1179 | − | 20.1158i | −0.778613 | − | 1.03601i | ||||
\(378\) | 3.32121 | + | 4.81160i | 0.170824 | + | 0.247482i | ||||
\(379\) | −2.77041 | − | 1.75190i | −0.142306 | − | 0.0899891i | 0.461415 | − | 0.887184i | \(-0.347342\pi\) |
−0.603722 | + | 0.797195i | \(0.706316\pi\) | |||||||
\(380\) | 39.8141 | − | 6.47042i | 2.04242 | − | 0.331926i | ||||
\(381\) | 15.5026 | + | 6.60506i | 0.794224 | + | 0.338387i | ||||
\(382\) | −1.18878 | + | 1.72225i | −0.0608234 | + | 0.0881179i | ||||
\(383\) | −9.17964 | + | 31.6918i | −0.469058 | + | 1.61937i | 0.282193 | + | 0.959358i | \(0.408938\pi\) |
−0.751251 | + | 0.660017i | \(0.770549\pi\) | |||||||
\(384\) | −8.80886 | − | 18.5643i | −0.449525 | − | 0.947355i | ||||
\(385\) | 3.31867 | − | 8.75060i | 0.169135 | − | 0.445972i | ||||
\(386\) | −22.4150 | − | 27.4534i | −1.14089 | − | 1.39734i | ||||
\(387\) | 0.0655508 | + | 1.62663i | 0.00333213 | + | 0.0826861i | ||||
\(388\) | −0.0916780 | − | 2.27497i | −0.00465425 | − | 0.115494i | ||||
\(389\) | 23.0355 | − | 5.67774i | 1.16795 | − | 0.287873i | 0.392781 | − | 0.919632i | \(-0.371513\pi\) |
0.775165 | + | 0.631759i | \(0.217667\pi\) | |||||||
\(390\) | 12.4514 | − | 16.5719i | 0.630502 | − | 0.839152i | ||||
\(391\) | −3.94070 | − | 0.971296i | −0.199290 | − | 0.0491206i | ||||
\(392\) | −1.00634 | + | 4.92940i | −0.0508280 | + | 0.248972i | ||||
\(393\) | −13.3503 | + | 5.68802i | −0.673432 | + | 0.286923i | ||||
\(394\) | −4.00054 | + | 2.52979i | −0.201544 | + | 0.127449i | ||||
\(395\) | 10.2965 | − | 5.40402i | 0.518073 | − | 0.271906i | ||||
\(396\) | −6.13933 | − | 0.997737i | −0.308513 | − | 0.0501382i | ||||
\(397\) | 16.8410 | − | 5.62236i | 0.845227 | − | 0.282178i | 0.139113 | − | 0.990276i | \(-0.455575\pi\) |
0.706114 | + | 0.708098i | \(0.250447\pi\) | |||||||
\(398\) | 2.18075 | + | 17.9601i | 0.109311 | + | 0.900260i | ||||
\(399\) | −2.97903 | + | 10.2848i | −0.149138 | + | 0.514884i | ||||
\(400\) | −0.402912 | + | 1.97360i | −0.0201456 | + | 0.0986798i | ||||
\(401\) | −15.3924 | − | 5.13873i | −0.768659 | − | 0.256616i | −0.0948200 | − | 0.995494i | \(-0.530228\pi\) |
−0.673839 | + | 0.738878i | \(0.735356\pi\) | |||||||
\(402\) | 21.4217 | + | 11.2430i | 1.06842 | + | 0.560749i | ||||
\(403\) | −5.78913 | + | 3.99647i | −0.288377 | + | 0.199078i | ||||
\(404\) | 58.9197 | − | 30.9234i | 2.93136 | − | 1.53850i | ||||
\(405\) | 2.34997 | − | 0.381907i | 0.116771 | − | 0.0189771i | ||||
\(406\) | −32.6199 | + | 24.5123i | −1.61890 | + | 1.21652i | ||||
\(407\) | 0.180202 | − | 4.47168i | 0.00893230 | − | 0.221653i | ||||
\(408\) | 4.01907 | 0.198973 | ||||||||
\(409\) | −0.730669 | + | 18.1314i | −0.0361293 | + | 0.896539i | 0.874927 | + | 0.484256i | \(0.160910\pi\) |
−0.911056 | + | 0.412283i | \(0.864731\pi\) | |||||||
\(410\) | 3.17939 | + | 15.5737i | 0.157019 | + | 0.769129i | ||||
\(411\) | −10.5234 | − | 15.2458i | −0.519082 | − | 0.752020i | ||||
\(412\) | 52.8366 | − | 17.6394i | 2.60307 | − | 0.869033i | ||||
\(413\) | −6.95260 | + | 14.6523i | −0.342115 | + | 0.720992i | ||||
\(414\) | 6.81881 | − | 8.35153i | 0.335126 | − | 0.410455i | ||||
\(415\) | −5.05400 | − | 13.3263i | −0.248091 | − | 0.654162i | ||||
\(416\) | −1.78540 | − | 5.34683i | −0.0875362 | − | 0.262150i | ||||
\(417\) | −6.76691 | + | 17.8429i | −0.331377 | + | 0.873769i | ||||
\(418\) | −8.66911 | − | 15.0153i | −0.424020 | − | 0.734424i | ||||
\(419\) | −7.06065 | + | 8.64773i | −0.344936 | + | 0.422469i | −0.917715 | − | 0.397240i | \(-0.869968\pi\) |
0.572779 | + | 0.819710i | \(0.305865\pi\) | |||||||
\(420\) | −17.6542 | − | 13.2663i | −0.861437 | − | 0.647328i | ||||
\(421\) | −9.49478 | − | 4.98324i | −0.462747 | − | 0.242868i | 0.217203 | − | 0.976126i | \(-0.430306\pi\) |
−0.679951 | + | 0.733258i | \(0.737999\pi\) | |||||||
\(422\) | 3.68963 | − | 0.297858i | 0.179608 | − | 0.0144995i | ||||
\(423\) | 0.0897640 | − | 0.00724650i | 0.00436447 | − | 0.000352337i | ||||
\(424\) | 32.3847 | + | 16.9968i | 1.57274 | + | 0.825437i | ||||
\(425\) | 0.485576 | + | 0.364887i | 0.0235539 | + | 0.0176996i | ||||
\(426\) | 17.3870 | − | 21.2952i | 0.842404 | − | 1.03176i | ||||
\(427\) | 6.35074 | + | 10.9998i | 0.307334 | + | 0.532318i | ||||
\(428\) | 11.6937 | − | 30.8337i | 0.565235 | − | 1.49040i | ||||
\(429\) | −5.62282 | − | 1.62830i | −0.271473 | − | 0.0786151i | ||||
\(430\) | −3.31878 | − | 8.75091i | −0.160046 | − | 0.422006i | ||||
\(431\) | 15.1070 | − | 18.5027i | 0.727678 | − | 0.891243i | −0.269749 | − | 0.962931i | \(-0.586941\pi\) |
0.997427 | + | 0.0716871i | \(0.0228383\pi\) | |||||||
\(432\) | −1.29231 | + | 2.72349i | −0.0621763 | + | 0.131034i | ||||
\(433\) | −22.4688 | + | 7.50120i | −1.07978 | + | 0.360485i | −0.800259 | − | 0.599654i | \(-0.795305\pi\) |
−0.279524 | + | 0.960139i | \(0.590177\pi\) | |||||||
\(434\) | 6.47985 | + | 9.38768i | 0.311043 | + | 0.450623i | ||||
\(435\) | 3.32358 | + | 16.2800i | 0.159353 | + | 0.780564i | ||||
\(436\) | 1.48024 | − | 36.7317i | 0.0708905 | − | 1.75913i | ||||
\(437\) | 19.7459 | 0.944576 | ||||||||
\(438\) | 1.36535 | − | 33.8808i | 0.0652388 | − | 1.61889i | ||||
\(439\) | −15.5842 | + | 11.7108i | −0.743793 | + | 0.558925i | −0.903679 | − | 0.428211i | \(-0.859144\pi\) |
0.159885 | + | 0.987136i | \(0.448888\pi\) | |||||||
\(440\) | 16.8690 | − | 2.74148i | 0.804200 | − | 0.130695i | ||||
\(441\) | −1.00756 | + | 0.528806i | −0.0479788 | + | 0.0251812i | ||||
\(442\) | 7.85660 | + | 0.953478i | 0.373700 | + | 0.0453523i | ||||
\(443\) | −22.5019 | − | 11.8099i | −1.06910 | − | 0.561107i | −0.164067 | − | 0.986449i | \(-0.552461\pi\) |
−0.905032 | + | 0.425343i | \(0.860154\pi\) | |||||||
\(444\) | −10.0166 | − | 3.34402i | −0.475365 | − | 0.158700i | ||||
\(445\) | 7.69870 | − | 37.7107i | 0.364953 | − | 1.78766i | ||||
\(446\) | 11.6058 | − | 40.0678i | 0.549549 | − | 1.89726i | ||||
\(447\) | −0.400448 | − | 3.29799i | −0.0189406 | − | 0.155990i | ||||
\(448\) | −22.5165 | + | 7.51711i | −1.06380 | + | 0.355150i | ||||
\(449\) | 9.56303 | + | 1.55414i | 0.451307 | + | 0.0733446i | 0.381817 | − | 0.924238i | \(-0.375299\pi\) |
0.0694905 | + | 0.997583i | \(0.477863\pi\) | |||||||
\(450\) | −1.42870 | + | 0.749842i | −0.0673497 | + | 0.0353479i | ||||
\(451\) | 3.79392 | − | 2.39913i | 0.178649 | − | 0.112971i | ||||
\(452\) | −8.40361 | + | 3.58044i | −0.395273 | + | 0.168410i | ||||
\(453\) | 3.47208 | − | 17.0074i | 0.163132 | − | 0.799075i | ||||
\(454\) | −55.6302 | − | 13.7116i | −2.61085 | − | 0.643518i | ||||
\(455\) | −14.9901 | − | 14.3964i | −0.702745 | − | 0.674914i | ||||
\(456\) | −18.9852 | + | 4.67943i | −0.889064 | + | 0.219135i | ||||
\(457\) | −1.35475 | − | 33.6178i | −0.0633726 | − | 1.57257i | −0.648234 | − | 0.761441i | \(-0.724492\pi\) |
0.584861 | − | 0.811133i | \(-0.301149\pi\) | |||||||
\(458\) | 1.33064 | + | 33.0195i | 0.0621768 | + | 1.54290i | ||||
\(459\) | 0.574896 | + | 0.704120i | 0.0268339 | + | 0.0328655i | ||||
\(460\) | −14.4409 | + | 38.0774i | −0.673309 | + | 1.77537i | ||||
\(461\) | 12.6536 | + | 26.6670i | 0.589339 | + | 1.24201i | 0.950854 | + | 0.309639i | \(0.100208\pi\) |
−0.361515 | + | 0.932366i | \(0.617740\pi\) | |||||||
\(462\) | −2.64090 | + | 9.11745i | −0.122866 | + | 0.424182i | ||||
\(463\) | −21.5213 | + | 31.1790i | −1.00018 | + | 1.44901i | −0.109711 | + | 0.993964i | \(0.534992\pi\) |
−0.890468 | + | 0.455046i | \(0.849623\pi\) | |||||||
\(464\) | −19.3551 | − | 8.24646i | −0.898540 | − | 0.382832i | ||||
\(465\) | 4.58490 | − | 0.745120i | 0.212620 | − | 0.0345541i | ||||
\(466\) | 35.7441 | + | 22.6032i | 1.65581 | + | 1.04707i | ||||
\(467\) | −12.6914 | − | 18.3867i | −0.587289 | − | 0.850835i | 0.410857 | − | 0.911700i | \(-0.365230\pi\) |
−0.998146 | + | 0.0608648i | \(0.980614\pi\) | |||||||
\(468\) | −7.38179 | + | 11.6749i | −0.341223 | + | 0.539674i | ||||
\(469\) | 13.7797 | − | 19.9634i | 0.636288 | − | 0.921822i | ||||
\(470\) | −0.476304 | + | 0.202934i | −0.0219703 | + | 0.00936066i | ||||
\(471\) | 4.13549 | + | 14.2774i | 0.190553 | + | 0.657866i | ||||
\(472\) | −29.5204 | + | 2.38313i | −1.35879 | + | 0.109693i | ||||
\(473\) | −1.97837 | + | 1.75268i | −0.0909656 | + | 0.0805885i | ||||
\(474\) | −9.96842 | + | 6.30364i | −0.457865 | + | 0.289536i | ||||
\(475\) | −2.71860 | − | 1.15829i | −0.124738 | − | 0.0531459i | ||||
\(476\) | 1.01631 | − | 8.37003i | 0.0465823 | − | 0.383640i | ||||
\(477\) | 1.65462 | + | 8.10488i | 0.0757600 | + | 0.371097i | ||||
\(478\) | −40.8507 | − | 3.29781i | −1.86847 | − | 0.150838i | ||||
\(479\) | −24.7728 | + | 18.6156i | −1.13190 | + | 0.850567i | −0.990243 | − | 0.139350i | \(-0.955499\pi\) |
−0.141655 | + | 0.989916i | \(0.545242\pi\) | |||||||
\(480\) | −0.448664 | + | 3.69508i | −0.0204786 | + | 0.168657i | ||||
\(481\) | −8.97929 | − | 4.26005i | −0.409420 | − | 0.194242i | ||||
\(482\) | 4.03399 | + | 33.2229i | 0.183743 | + | 1.51326i | ||||
\(483\) | −7.48862 | − | 7.79648i | −0.340744 | − | 0.354752i | ||||
\(484\) | 16.0213 | + | 27.7497i | 0.728241 | + | 1.26135i | ||||
\(485\) | −0.707470 | + | 1.22537i | −0.0321246 | + | 0.0556414i | ||||
\(486\) | −2.34458 | + | 0.577886i | −0.106352 | + | 0.0262135i | ||||
\(487\) | −11.2729 | − | 13.8068i | −0.510822 | − | 0.625644i | 0.453218 | − | 0.891400i | \(-0.350276\pi\) |
−0.964040 | + | 0.265756i | \(0.914378\pi\) | |||||||
\(488\) | −11.5973 | + | 20.0871i | −0.524984 | + | 0.909300i | ||||
\(489\) | 1.82247 | + | 4.80545i | 0.0824147 | + | 0.217310i | ||||
\(490\) | 4.53165 | − | 4.71794i | 0.204719 | − | 0.213135i | ||||
\(491\) | 12.7558 | + | 4.25852i | 0.575663 | + | 0.192185i | 0.589568 | − | 0.807719i | \(-0.299298\pi\) |
−0.0139050 | + | 0.999903i | \(0.504426\pi\) | |||||||
\(492\) | −2.94686 | − | 10.1738i | −0.132855 | − | 0.458668i | ||||
\(493\) | −4.74856 | + | 4.20686i | −0.213864 | + | 0.189467i | ||||
\(494\) | −38.2230 | + | 4.64348i | −1.71974 | + | 0.208920i | ||||
\(495\) | 2.89328 | + | 2.56322i | 0.130043 | + | 0.115208i | ||||
\(496\) | −2.52136 | + | 5.31366i | −0.113213 | + | 0.238591i | ||||
\(497\) | −19.0949 | − | 19.8799i | −0.856525 | − | 0.891737i | ||||
\(498\) | 6.19705 | + | 13.0600i | 0.277697 | + | 0.585233i | ||||
\(499\) | −18.4848 | − | 4.55610i | −0.827494 | − | 0.203959i | −0.197247 | − | 0.980354i | \(-0.563200\pi\) |
−0.630247 | + | 0.776395i | \(0.717046\pi\) | |||||||
\(500\) | −27.3693 | + | 28.4944i | −1.22399 | + | 1.27431i | ||||
\(501\) | 5.51300 | + | 4.14275i | 0.246303 | + | 0.185084i | ||||
\(502\) | −34.4733 | − | 30.5406i | −1.53862 | − | 1.36310i | ||||
\(503\) | −15.7627 | − | 2.56169i | −0.702824 | − | 0.114220i | −0.201512 | − | 0.979486i | \(-0.564585\pi\) |
−0.501313 | + | 0.865266i | \(0.667149\pi\) | |||||||
\(504\) | 9.04774 | + | 5.72144i | 0.403018 | + | 0.254853i | ||||
\(505\) | −41.2186 | − | 3.32751i | −1.83421 | − | 0.148072i | ||||
\(506\) | 17.5047 | 0.778180 | ||||||||
\(507\) | −8.22056 | + | 10.0709i | −0.365088 | + | 0.447263i | ||||
\(508\) | 64.5564 | 2.86423 | ||||||||
\(509\) | 3.81978 | + | 0.308364i | 0.169309 | + | 0.0136680i | 0.164830 | − | 0.986322i | \(-0.447292\pi\) |
0.00447854 | + | 0.999990i | \(0.498574\pi\) | |||||||
\(510\) | −4.41687 | − | 2.79306i | −0.195582 | − | 0.123679i | ||||
\(511\) | −33.5583 | − | 5.45376i | −1.48453 | − | 0.241260i | ||||
\(512\) | −23.4807 | − | 20.8021i | −1.03771 | − | 0.919333i | ||||
\(513\) | −3.53550 | − | 2.65676i | −0.156096 | − | 0.117299i | ||||
\(514\) | 18.2759 | − | 19.0272i | 0.806116 | − | 0.839255i | ||||
\(515\) | −33.6112 | − | 8.28443i | −1.48109 | − | 0.365056i | ||||
\(516\) | 2.67361 | + | 5.63451i | 0.117699 | + | 0.248046i | ||||
\(517\) | 0.101284 | + | 0.105448i | 0.00445448 | + | 0.00463761i | ||||
\(518\) | −6.90872 | + | 14.5598i | −0.303552 | + | 0.639721i | ||||
\(519\) | 13.7802 | + | 12.2082i | 0.604884 | + | 0.535881i | ||||
\(520\) | 9.08065 | − | 36.8513i | 0.398213 | − | 1.61604i | ||||
\(521\) | −19.8284 | + | 17.5665i | −0.868700 | + | 0.769601i | −0.974406 | − | 0.224797i | \(-0.927828\pi\) |
0.105706 | + | 0.994397i | \(0.466290\pi\) | |||||||
\(522\) | −4.68871 | − | 16.1873i | −0.205219 | − | 0.708499i | ||||
\(523\) | 35.8457 | + | 11.9671i | 1.56742 | + | 0.523283i | 0.962100 | − | 0.272697i | \(-0.0879156\pi\) |
0.605323 | + | 0.795980i | \(0.293044\pi\) | |||||||
\(524\) | −38.5109 | + | 40.0941i | −1.68236 | + | 1.75152i | ||||
\(525\) | 0.573687 | + | 1.51269i | 0.0250378 | + | 0.0660192i | ||||
\(526\) | −3.90710 | + | 6.76730i | −0.170358 | + | 0.295068i | ||||
\(527\) | 1.12165 | + | 1.37377i | 0.0488599 | + | 0.0598425i | ||||
\(528\) | −4.75208 | + | 1.17128i | −0.206808 | + | 0.0509735i | ||||
\(529\) | 1.53222 | − | 2.65388i | 0.0666182 | − | 0.115386i | ||||
\(530\) | −23.7781 | − | 41.1849i | −1.03286 | − | 1.78896i | ||||
\(531\) | −4.64018 | − | 4.83094i | −0.201367 | − | 0.209645i | ||||
\(532\) | 4.94449 | + | 40.7215i | 0.214371 | + | 1.76550i | ||||
\(533\) | −1.59968 | − | 9.83944i | −0.0692899 | − | 0.426194i | ||||
\(534\) | −4.70544 | + | 38.7527i | −0.203624 | + | 1.67700i | ||||
\(535\) | −16.3834 | + | 12.3113i | −0.708316 | + | 0.532265i | ||||
\(536\) | 44.1534 | + | 3.56443i | 1.90713 | + | 0.153960i | ||||
\(537\) | −3.55141 | − | 17.3959i | −0.153255 | − | 0.750690i | ||||
\(538\) | 2.42331 | − | 19.9577i | 0.104476 | − | 0.860439i | ||||
\(539\) | −1.69961 | − | 0.724137i | −0.0732074 | − | 0.0311908i | ||||
\(540\) | 7.70883 | − | 4.87477i | 0.331735 | − | 0.209777i | ||||
\(541\) | −23.7324 | + | 21.0251i | −1.02034 | + | 0.903940i | −0.995406 | − | 0.0957489i | \(-0.969475\pi\) |
−0.0249321 | + | 0.999689i | \(0.507937\pi\) | |||||||
\(542\) | −53.7875 | + | 4.34218i | −2.31037 | + | 0.186512i | ||||
\(543\) | 0.207784 | + | 0.717353i | 0.00891686 | + | 0.0307846i | ||||
\(544\) | −1.30745 | + | 0.557051i | −0.0560563 | + | 0.0238834i | ||||
\(545\) | −12.9778 | + | 18.8016i | −0.555909 | + | 0.805373i | ||||
\(546\) | 16.3295 | + | 13.3309i | 0.698836 | + | 0.570511i | ||||
\(547\) | −19.2051 | − | 27.8234i | −0.821151 | − | 1.18964i | −0.979337 | − | 0.202233i | \(-0.935180\pi\) |
0.158186 | − | 0.987409i | \(-0.449435\pi\) | |||||||
\(548\) | −59.9826 | − | 37.9307i | −2.56233 | − | 1.62032i | ||||
\(549\) | −5.17806 | + | 0.841516i | −0.220994 | + | 0.0359150i | ||||
\(550\) | −2.41003 | − | 1.02682i | −0.102764 | − | 0.0437837i | ||||
\(551\) | 17.5331 | − | 25.4011i | 0.746935 | − | 1.08212i | ||||
\(552\) | 5.49234 | − | 18.9618i | 0.233770 | − | 0.807066i | ||||
\(553\) | 5.06959 | + | 10.6839i | 0.215581 | + | 0.454327i | ||||
\(554\) | 2.65525 | − | 7.00133i | 0.112811 | − | 0.297458i | ||||
\(555\) | 4.15048 | + | 5.08342i | 0.176178 | + | 0.215779i | ||||
\(556\) | 2.94371 | + | 73.0474i | 0.124841 | + | 3.09790i | ||||
\(557\) | 0.598290 | + | 14.8464i | 0.0253504 | + | 0.629063i | 0.961068 | + | 0.276313i | \(0.0891125\pi\) |
−0.935717 | + | 0.352750i | \(0.885246\pi\) | |||||||
\(558\) | −4.57439 | + | 1.12749i | −0.193649 | + | 0.0477303i | ||||
\(559\) | 1.85907 | + | 5.56746i | 0.0786302 | + | 0.235478i | ||||
\(560\) | −16.8719 | − | 4.15855i | −0.712967 | − | 0.175731i | ||||
\(561\) | −0.295204 | + | 1.44600i | −0.0124635 | + | 0.0610503i | ||||
\(562\) | 55.3507 | − | 23.5827i | 2.33483 | − | 0.994777i | ||||
\(563\) | 0.931250 | − | 0.588887i | 0.0392475 | − | 0.0248186i | −0.514698 | − | 0.857372i | \(-0.672096\pi\) |
0.553946 | + | 0.832553i | \(0.313122\pi\) | |||||||
\(564\) | 0.305486 | − | 0.160331i | 0.0128633 | − | 0.00675117i | ||||
\(565\) | 5.60322 | + | 0.910612i | 0.235729 | + | 0.0383097i | ||||
\(566\) | 24.2203 | − | 8.08592i | 1.01805 | − | 0.339877i | ||||
\(567\) | 0.291841 | + | 2.40353i | 0.0122562 | + | 0.100939i | ||||
\(568\) | 14.0047 | − | 48.3499i | 0.587625 | − | 2.02872i | ||||
\(569\) | −6.91217 | + | 33.8581i | −0.289773 | + | 1.41940i | 0.530623 | + | 0.847608i | \(0.321958\pi\) |
−0.820396 | + | 0.571795i | \(0.806247\pi\) | |||||||
\(570\) | 24.1163 | + | 8.05121i | 1.01012 | + | 0.337228i | ||||
\(571\) | −29.3677 | − | 15.4133i | −1.22900 | − | 0.645028i | −0.279906 | − | 0.960027i | \(-0.590303\pi\) |
−0.949092 | + | 0.314999i | \(0.897996\pi\) | |||||||
\(572\) | −22.2624 | + | 2.70452i | −0.930837 | + | 0.113082i | ||||
\(573\) | −0.767362 | + | 0.402743i | −0.0320570 | + | 0.0168248i | ||||
\(574\) | −15.9552 | + | 2.59297i | −0.665956 | + | 0.108228i | ||||
\(575\) | 2.38509 | − | 1.79228i | 0.0994653 | − | 0.0747433i | ||||
\(576\) | 0.394782 | − | 9.79642i | 0.0164493 | − | 0.408184i | ||||
\(577\) | −21.3997 | −0.890880 | −0.445440 | − | 0.895312i | \(-0.646953\pi\) | ||||
−0.445440 | + | 0.895312i | \(0.646953\pi\) | |||||||
\(578\) | −1.57260 | + | 39.0237i | −0.0654116 | + | 1.62317i | ||||
\(579\) | −2.93583 | − | 14.3806i | −0.122009 | − | 0.597639i | ||||
\(580\) | 36.1601 | + | 52.3869i | 1.50147 | + | 2.17525i | ||||
\(581\) | 13.7483 | − | 4.58985i | 0.570375 | − | 0.190419i | ||||
\(582\) | 0.615224 | − | 1.29656i | 0.0255018 | − | 0.0537440i | ||||
\(583\) | −8.49388 | + | 10.4031i | −0.351781 | + | 0.430853i | ||||
\(584\) | −22.0160 | − | 58.0513i | −0.911027 | − | 2.40218i | ||||
\(585\) | 7.75507 | − | 3.68041i | 0.320633 | − | 0.152166i | ||||
\(586\) | −26.1727 | + | 69.0118i | −1.08118 | + | 2.85085i | ||||
\(587\) | −15.7504 | − | 27.2805i | −0.650089 | − | 1.12599i | −0.983101 | − | 0.183065i | \(-0.941398\pi\) |
0.333012 | − | 0.942923i | \(-0.391935\pi\) | |||||||
\(588\) | −2.75700 | + | 3.37671i | −0.113697 | + | 0.139253i | ||||
\(589\) | −6.89794 | − | 5.18347i | −0.284225 | − | 0.213581i | ||||
\(590\) | 34.0985 | + | 17.8963i | 1.40381 | + | 0.736777i | ||||
\(591\) | −1.95381 | + | 0.157728i | −0.0803690 | + | 0.00648805i | ||||
\(592\) | −8.28254 | + | 0.668636i | −0.340410 | + | 0.0274808i | ||||
\(593\) | −35.9430 | − | 18.8643i | −1.47600 | − | 0.774665i | −0.481210 | − | 0.876606i | \(-0.659802\pi\) |
−0.994790 | + | 0.101941i | \(0.967495\pi\) | |||||||
\(594\) | −3.13421 | − | 2.35521i | −0.128598 | − | 0.0966353i | ||||
\(595\) | −3.31389 | + | 4.05878i | −0.135856 | + | 0.166394i | ||||
\(596\) | −6.36369 | − | 11.0222i | −0.260667 | − | 0.451488i | ||||
\(597\) | −2.65681 | + | 7.00544i | −0.108736 | + | 0.286713i | ||||
\(598\) | 15.2351 | − | 35.7641i | 0.623008 | − | 1.46250i | ||||
\(599\) | 7.42194 | + | 19.5700i | 0.303252 | + | 0.799611i | 0.996855 | + | 0.0792524i | \(0.0252533\pi\) |
−0.693602 | + | 0.720358i | \(0.743977\pi\) | |||||||
\(600\) | −1.86847 | + | 2.28846i | −0.0762799 | + | 0.0934259i | ||||
\(601\) | 5.88464 | − | 12.4016i | 0.240040 | − | 0.505873i | −0.747301 | − | 0.664485i | \(-0.768651\pi\) |
0.987341 | + | 0.158613i | \(0.0507021\pi\) | |||||||
\(602\) | 9.02802 | − | 3.01400i | 0.367955 | − | 0.122841i | ||||
\(603\) | 5.69132 | + | 8.24531i | 0.231769 | + | 0.335775i | ||||
\(604\) | −13.3015 | − | 65.1551i | −0.541231 | − | 2.65112i | ||||
\(605\) | 0.801819 | − | 19.8969i | 0.0325986 | − | 0.808925i | ||||
\(606\) | 41.9424 | 1.70379 | ||||||||
\(607\) | 0.303048 | − | 7.52005i | 0.0123003 | − | 0.305229i | −0.981315 | − | 0.192408i | \(-0.938370\pi\) |
0.993615 | − | 0.112821i | \(-0.0359887\pi\) | |||||||
\(608\) | 5.52752 | − | 4.15366i | 0.224170 | − | 0.168453i | ||||
\(609\) | −16.6787 | + | 2.71056i | −0.675857 | + | 0.109837i | ||||
\(610\) | 26.7047 | − | 14.0157i | 1.08124 | − | 0.567480i | ||||
\(611\) | 0.303594 | − | 0.115159i | 0.0122821 | − | 0.00465884i | ||||
\(612\) | 3.08351 | + | 1.61835i | 0.124643 | + | 0.0654179i | ||||
\(613\) | 15.3599 | + | 5.12789i | 0.620381 | + | 0.207114i | 0.609447 | − | 0.792827i | \(-0.291391\pi\) |
0.0109337 | + | 0.999940i | \(0.496520\pi\) | |||||||
\(614\) | 16.1859 | − | 79.2840i | 0.653211 | − | 3.19964i | ||||
\(615\) | −1.83135 | + | 6.32254i | −0.0738471 | + | 0.254950i | ||||
\(616\) | 2.09495 | + | 17.2535i | 0.0844081 | + | 0.695163i | ||||
\(617\) | 12.9022 | − | 4.30740i | 0.519424 | − | 0.173409i | −0.0448547 | − | 0.998994i | \(-0.514282\pi\) |
0.564279 | + | 0.825584i | \(0.309154\pi\) | |||||||
\(618\) | 34.6561 | + | 5.63216i | 1.39407 | + | 0.226559i | ||||
\(619\) | 29.4985 | − | 15.4820i | 1.18565 | − | 0.622275i | 0.247625 | − | 0.968856i | \(-0.420350\pi\) |
0.938020 | + | 0.346581i | \(0.112657\pi\) | |||||||
\(620\) | 15.0403 | − | 9.51092i | 0.604034 | − | 0.381968i | ||||
\(621\) | 4.10764 | − | 1.75010i | 0.164834 | − | 0.0702292i | ||||
\(622\) | 7.58531 | − | 37.1553i | 0.304143 | − | 1.48979i | ||||
\(623\) | 38.0040 | + | 9.36714i | 1.52260 | + | 0.375287i | ||||
\(624\) | −1.74287 | + | 10.7284i | −0.0697706 | + | 0.429481i | ||||
\(625\) | 27.0839 | − | 6.67559i | 1.08336 | − | 0.267024i | ||||
\(626\) | −0.640623 | − | 15.8969i | −0.0256044 | − | 0.635367i | ||||
\(627\) | −0.289115 | − | 7.17432i | −0.0115461 | − | 0.286515i | ||||
\(628\) | 36.0145 | + | 44.1097i | 1.43713 | + | 1.76017i | ||||
\(629\) | −0.888514 | + | 2.34282i | −0.0354274 | + | 0.0934143i | ||||
\(630\) | −5.96714 | − | 12.5755i | −0.237737 | − | 0.501020i | ||||
\(631\) | 0.221061 | − | 0.763191i | 0.00880030 | − | 0.0303822i | −0.955998 | − | 0.293374i | \(-0.905222\pi\) |
0.964798 | + | 0.262992i | \(0.0847091\pi\) | |||||||
\(632\) | −12.2675 | + | 17.7726i | −0.487976 | + | 0.706955i | ||||
\(633\) | 1.41026 | + | 0.600857i | 0.0560529 | + | 0.0238819i | ||||
\(634\) | 48.9360 | − | 7.95287i | 1.94350 | − | 0.315849i | ||||
\(635\) | −33.9082 | − | 21.4422i | −1.34560 | − | 0.850909i | ||||
\(636\) | 18.0021 | + | 26.0805i | 0.713830 | + | 1.03416i | ||||
\(637\) | −2.95873 | + | 2.84224i | −0.117229 | + | 0.112614i | ||||
\(638\) | 15.5430 | − | 22.5180i | 0.615355 | − | 0.891496i | ||||
\(639\) | 10.4739 | − | 4.46252i | 0.414342 | − | 0.176534i | ||||
\(640\) | 13.6107 | + | 46.9896i | 0.538010 | + | 1.85743i | ||||
\(641\) | −6.66122 | + | 0.537749i | −0.263102 | + | 0.0212398i | −0.211314 | − | 0.977418i | \(-0.567774\pi\) |
−0.0517885 | + | 0.998658i | \(0.516492\pi\) | |||||||
\(642\) | 15.5584 | − | 13.7835i | 0.614039 | − | 0.543991i | ||||
\(643\) | −29.2094 | + | 18.4709i | −1.15191 | + | 0.728422i | −0.967111 | − | 0.254355i | \(-0.918137\pi\) |
−0.184796 | + | 0.982777i | \(0.559162\pi\) | |||||||
\(644\) | −38.1005 | − | 16.2331i | −1.50137 | − | 0.639674i | ||||
\(645\) | 0.467177 | − | 3.84755i | 0.0183951 | − | 0.151497i | ||||
\(646\) | 1.94172 | + | 9.51118i | 0.0763960 | + | 0.374212i | ||||
\(647\) | 11.7835 | + | 0.951261i | 0.463256 | + | 0.0373979i | 0.309892 | − | 0.950772i | \(-0.399707\pi\) |
0.153364 | + | 0.988170i | \(0.450989\pi\) | |||||||
\(648\) | −3.53465 | + | 2.65612i | −0.138854 | + | 0.104342i | ||||
\(649\) | 1.31088 | − | 10.7961i | 0.0514566 | − | 0.423783i | ||||
\(650\) | −4.19545 | + | 4.03028i | −0.164559 | + | 0.158080i | ||||
\(651\) | 0.569396 | + | 4.68940i | 0.0223164 | + | 0.183792i | ||||
\(652\) | 13.6391 | + | 14.1998i | 0.534150 | + | 0.556109i | ||||
\(653\) | 13.1548 | + | 22.7849i | 0.514789 | + | 0.891640i | 0.999853 | + | 0.0171616i | \(0.00546297\pi\) |
−0.485064 | + | 0.874479i | \(0.661204\pi\) | |||||||
\(654\) | 11.5857 | − | 20.0671i | 0.453038 | − | 0.784684i | ||||
\(655\) | 33.5450 | − | 8.26810i | 1.31071 | − | 0.323061i | ||||
\(656\) | −5.27118 | − | 6.45603i | −0.205805 | − | 0.252065i | ||||
\(657\) | 7.02108 | − | 12.1609i | 0.273919 | − | 0.474441i | ||||
\(658\) | −0.186705 | − | 0.492300i | −0.00727851 | − | 0.0191919i | ||||
\(659\) | −14.1044 | + | 14.6843i | −0.549431 | + | 0.572018i | −0.936782 | − | 0.349914i | \(-0.886211\pi\) |
0.387351 | + | 0.921932i | \(0.373390\pi\) | |||||||
\(660\) | 14.0462 | + | 4.68930i | 0.546746 | + | 0.182531i | ||||
\(661\) | 7.14500 | + | 24.6674i | 0.277908 | + | 0.959450i | 0.971095 | + | 0.238693i | \(0.0767188\pi\) |
−0.693187 | + | 0.720758i | \(0.743794\pi\) | |||||||
\(662\) | −5.62256 | + | 4.98115i | −0.218527 | + | 0.193598i | ||||
\(663\) | 2.69741 | + | 1.86165i | 0.104759 | + | 0.0723004i | ||||
\(664\) | 19.8118 | + | 17.5518i | 0.768848 | + | 0.681140i | ||||
\(665\) | 10.9284 | − | 23.0312i | 0.423787 | − | 0.893112i | ||||
\(666\) | −4.61089 | − | 4.80045i | −0.178668 | − | 0.186014i | ||||
\(667\) | 13.3585 | + | 28.1524i | 0.517243 | + | 1.09007i | ||||
\(668\) | 25.6511 | + | 6.32242i | 0.992469 | + | 0.244622i | ||||
\(669\) | 11.9668 | − | 12.4588i | 0.462664 | − | 0.481684i | ||||
\(670\) | −46.0465 | − | 34.6017i | −1.77893 | − | 1.33678i | ||||
\(671\) | −6.37522 | − | 5.64795i | −0.246113 | − | 0.218037i | ||||
\(672\) | −3.73633 | − | 0.607213i | −0.144132 | − | 0.0234238i | ||||
\(673\) | −9.12789 | − | 5.77213i | −0.351854 | − | 0.222499i | 0.346832 | − | 0.937927i | \(-0.387257\pi\) |
−0.698686 | + | 0.715428i | \(0.746232\pi\) | |||||||
\(674\) | 5.61418 | + | 0.453223i | 0.216250 | + | 0.0174575i | ||||
\(675\) | −0.668196 | −0.0257189 | ||||||||
\(676\) | −13.8502 | + | 47.8383i | −0.532701 | + | 1.83994i | ||||
\(677\) | −25.9532 | −0.997462 | −0.498731 | − | 0.866757i | \(-0.666200\pi\) | ||||
−0.498731 | + | 0.866757i | \(0.666200\pi\) | |||||||
\(678\) | −5.73901 | − | 0.463301i | −0.220405 | − | 0.0177930i | ||||
\(679\) | −1.21618 | − | 0.769064i | −0.0466726 | − | 0.0295140i | ||||
\(680\) | −9.44467 | − | 1.53491i | −0.362187 | − | 0.0588611i | ||||
\(681\) | −17.7600 | − | 15.7340i | −0.680566 | − | 0.602929i | ||||
\(682\) | −6.11501 | − | 4.59513i | −0.234156 | − | 0.175957i | ||||
\(683\) | −21.0047 | + | 21.8682i | −0.803722 | + | 0.836763i | −0.989304 | − | 0.145866i | \(-0.953403\pi\) |
0.185583 | + | 0.982629i | \(0.440583\pi\) | |||||||
\(684\) | −16.4501 | − | 4.05458i | −0.628985 | − | 0.155031i | ||||
\(685\) | 18.9072 | + | 39.8461i | 0.722407 | + | 1.52244i | ||||
\(686\) | 32.9587 | + | 34.3137i | 1.25837 | + | 1.31010i | ||||
\(687\) | −5.86675 | + | 12.3639i | −0.223830 | + | 0.471713i | ||||
\(688\) | 3.67332 | + | 3.25428i | 0.140044 | + | 0.124068i | ||||
\(689\) | 13.8621 | + | 26.4082i | 0.528105 | + | 1.00607i | ||||
\(690\) | −19.2135 | + | 17.0217i | −0.731445 | + | 0.648004i | ||||
\(691\) | 0.433786 | + | 1.49760i | 0.0165020 | + | 0.0569715i | 0.968347 | − | 0.249609i | \(-0.0803022\pi\) |
−0.951845 | + | 0.306581i | \(0.900815\pi\) | |||||||
\(692\) | 66.8996 | + | 22.3344i | 2.54314 | + | 0.849026i | ||||
\(693\) | −2.72306 | + | 2.83500i | −0.103440 | + | 0.107693i | ||||
\(694\) | 7.64567 | + | 20.1600i | 0.290226 | + | 0.765262i | ||||
\(695\) | 22.7163 | − | 39.3458i | 0.861679 | − | 1.49247i | ||||
\(696\) | −19.5155 | − | 23.9021i | −0.739732 | − | 0.906008i | ||||
\(697\) | −2.44019 | + | 0.601453i | −0.0924288 | + | 0.0227816i | ||||
\(698\) | 35.5964 | − | 61.6547i | 1.34734 | − | 2.33366i | ||||
\(699\) | 8.75687 | + | 15.1673i | 0.331215 | + | 0.573681i | ||||
\(700\) | 4.29341 | + | 4.46992i | 0.162276 | + | 0.168947i | ||||
\(701\) | 3.00766 | + | 24.7703i | 0.113598 | + | 0.935561i | 0.932386 | + | 0.361465i | \(0.117723\pi\) |
−0.818788 | + | 0.574096i | \(0.805354\pi\) | |||||||
\(702\) | −7.53978 | + | 4.35370i | −0.284570 | + | 0.164320i | ||||
\(703\) | 1.46939 | − | 12.1015i | 0.0554189 | − | 0.456416i | ||||
\(704\) | 12.7256 | − | 9.56264i | 0.479613 | − | 0.360405i | ||||
\(705\) | −0.213710 | − | 0.0172524i | −0.00804878 | − | 0.000649764i | ||||
\(706\) | 1.34712 | + | 6.59862i | 0.0506994 | + | 0.248342i | ||||
\(707\) | 5.06906 | − | 41.7475i | 0.190642 | − | 1.57008i | ||||
\(708\) | −23.6083 | − | 10.0585i | −0.887253 | − | 0.378023i | ||||
\(709\) | 38.4831 | − | 24.3353i | 1.44526 | − | 0.913930i | 0.445438 | − | 0.895313i | \(-0.353048\pi\) |
0.999827 | − | 0.0186175i | \(-0.00592649\pi\) | |||||||
\(710\) | −48.9917 | + | 43.4029i | −1.83863 | + | 1.62888i | ||||
\(711\) | −4.86844 | + | 0.393021i | −0.182581 | + | 0.0147394i | ||||
\(712\) | 19.8862 | + | 68.6552i | 0.745268 | + | 2.57296i | ||||
\(713\) | 8.01422 | − | 3.41454i | 0.300135 | − | 0.127875i | ||||
\(714\) | 3.01900 | − | 4.37377i | 0.112983 | − | 0.163684i | ||||
\(715\) | 12.5916 | + | 5.97384i | 0.470899 | + | 0.223409i | ||||
\(716\) | −38.6389 | − | 55.9780i | −1.44400 | − | 2.09200i | ||||
\(717\) | −14.3447 | − | 9.07106i | −0.535714 | − | 0.338765i | ||||
\(718\) | 28.2161 | − | 4.58556i | 1.05302 | − | 0.171132i | ||||
\(719\) | −11.8153 | − | 5.03402i | −0.440635 | − | 0.187737i | 0.160243 | − | 0.987078i | \(-0.448772\pi\) |
−0.600878 | + | 0.799340i | \(0.705182\pi\) | |||||||
\(720\) | 4.07701 | − | 5.90656i | 0.151941 | − | 0.220125i | ||||
\(721\) | 9.79445 | − | 33.8144i | 0.364764 | − | 1.25931i | ||||
\(722\) | −0.577738 | − | 1.21756i | −0.0215012 | − | 0.0453128i | ||||
\(723\) | −4.91460 | + | 12.9587i | −0.182776 | + | 0.481941i | ||||
\(724\) | 1.80951 | + | 2.21625i | 0.0672501 | + | 0.0823664i | ||||
\(725\) | −0.187776 | − | 4.65960i | −0.00697381 | − | 0.173053i | ||||
\(726\) | 0.813252 | + | 20.1806i | 0.0301826 | + | 0.748974i | ||||
\(727\) | 15.1960 | − | 3.74548i | 0.563589 | − | 0.138912i | 0.0527796 | − | 0.998606i | \(-0.483192\pi\) |
0.510809 | + | 0.859694i | \(0.329346\pi\) | |||||||
\(728\) | 37.0741 | + | 10.7362i | 1.37406 | + | 0.397910i | ||||
\(729\) | −0.970942 | − | 0.239316i | −0.0359608 | − | 0.00886354i | ||||
\(730\) | −16.1478 | + | 79.0972i | −0.597657 | + | 2.92752i | ||||
\(731\) | 1.36140 | − | 0.580037i | 0.0503531 | − | 0.0214534i | ||||
\(732\) | −16.9861 | + | 10.7414i | −0.627824 | + | 0.397012i | ||||
\(733\) | −14.5087 | + | 7.61474i | −0.535890 | + | 0.281257i | −0.710880 | − | 0.703314i | \(-0.751703\pi\) |
0.174990 | + | 0.984570i | \(0.444011\pi\) | |||||||
\(734\) | −77.4795 | − | 12.5916i | −2.85982 | − | 0.464766i | ||||
\(735\) | 2.56968 | − | 0.857884i | 0.0947839 | − | 0.0316435i | ||||
\(736\) | 0.841420 | + | 6.92972i | 0.0310152 | + | 0.255433i | ||||
\(737\) | −4.52553 | + | 15.6239i | −0.166700 | + | 0.575515i | ||||
\(738\) | 1.33543 | − | 6.54137i | 0.0491579 | − | 0.240791i | ||||
\(739\) | −21.9284 | − | 7.32078i | −0.806649 | − | 0.269299i | −0.116710 | − | 0.993166i | \(-0.537235\pi\) |
−0.689940 | + | 0.723867i | \(0.742363\pi\) | |||||||
\(740\) | 22.2615 | + | 11.6837i | 0.818349 | + | 0.429503i | ||||
\(741\) | −14.9095 | − | 5.65340i | −0.547716 | − | 0.207683i | ||||
\(742\) | 42.8232 | − | 22.4753i | 1.57209 | − | 0.825095i | ||||
\(743\) | 12.1803 | − | 1.97949i | 0.446851 | − | 0.0726204i | 0.0671780 | − | 0.997741i | \(-0.478600\pi\) |
0.379673 | + | 0.925121i | \(0.376036\pi\) | |||||||
\(744\) | −6.89628 | + | 5.18222i | −0.252830 | + | 0.189989i | ||||
\(745\) | −0.318484 | + | 7.90310i | −0.0116684 | + | 0.289547i | ||||
\(746\) | 26.7019 | 0.977626 | ||||||||
\(747\) | −0.241049 | + | 5.98157i | −0.00881953 | + | 0.218854i | ||||
\(748\) | 1.13092 | + | 5.53963i | 0.0413507 | + | 0.202549i | ||||
\(749\) | −11.8391 | − | 17.1519i | −0.432591 | − | 0.626717i | ||||
\(750\) | −23.6220 | + | 7.88618i | −0.862553 | + | 0.287963i | ||||
\(751\) | −16.0700 | + | 33.8669i | −0.586404 | + | 1.23582i | 0.365896 | + | 0.930656i | \(0.380762\pi\) |
−0.952300 | + | 0.305164i | \(0.901289\pi\) | |||||||
\(752\) | 0.171695 | − | 0.210288i | 0.00626106 | − | 0.00766840i | ||||
\(753\) | −6.76328 | − | 17.8333i | −0.246468 | − | 0.649882i | ||||
\(754\) | −32.4790 | − | 51.3545i | −1.18281 | − | 1.87022i | ||||
\(755\) | −14.6545 | + | 38.6407i | −0.533331 | + | 1.40628i | ||||
\(756\) | 4.63776 | + | 8.03284i | 0.168674 | + | 0.292152i | ||||
\(757\) | 4.77741 | − | 5.85126i | 0.173638 | − | 0.212668i | −0.680453 | − | 0.732792i | \(-0.738217\pi\) |
0.854091 | + | 0.520124i | \(0.174114\pi\) | |||||||
\(758\) | −6.32773 | − | 4.75498i | −0.229834 | − | 0.172709i | ||||
\(759\) | 6.41876 | + | 3.36882i | 0.232986 | + | 0.122281i | ||||
\(760\) | 46.4017 | − | 3.74593i | 1.68317 | − | 0.135879i | ||||
\(761\) | 10.5249 | − | 0.849654i | 0.381526 | − | 0.0307999i | 0.111784 | − | 0.993733i | \(-0.464344\pi\) |
0.269742 | + | 0.962933i | \(0.413062\pi\) | |||||||
\(762\) | 36.0301 | + | 18.9101i | 1.30523 | + | 0.685040i | ||||
\(763\) | −18.5736 | − | 13.9572i | −0.672409 | − | 0.505283i | ||||
\(764\) | −2.09975 | + | 2.57173i | −0.0759663 | + | 0.0930419i | ||||
\(765\) | −1.08208 | − | 1.87422i | −0.0391226 | − | 0.0677624i | ||||
\(766\) | −28.2525 | + | 74.4958i | −1.02081 | + | 2.69164i | ||||
\(767\) | −20.9166 | − | 12.0745i | −0.755256 | − | 0.435986i | ||||
\(768\) | −10.6417 | − | 28.0598i | −0.383998 | − | 1.01252i | ||||
\(769\) | 12.8058 | − | 15.6843i | 0.461790 | − | 0.565590i | −0.490243 | − | 0.871586i | \(-0.663092\pi\) |
0.952033 | + | 0.305996i | \(0.0989893\pi\) | |||||||
\(770\) | 9.68805 | − | 20.4171i | 0.349133 | − | 0.735782i | ||||
\(771\) | 10.3634 | − | 3.45980i | 0.373228 | − | 0.124602i | ||||
\(772\) | −31.9414 | − | 46.2751i | −1.14960 | − | 1.66548i | ||||
\(773\) | 5.02121 | + | 24.5955i | 0.180600 | + | 0.884639i | 0.964567 | + | 0.263837i | \(0.0849880\pi\) |
−0.783967 | + | 0.620803i | \(0.786807\pi\) | |||||||
\(774\) | −0.158289 | + | 3.92789i | −0.00568956 | + | 0.141185i | ||||
\(775\) | −1.30368 | −0.0468297 | ||||||||
\(776\) | 0.105806 | − | 2.62556i | 0.00379823 | − | 0.0942521i | ||||
\(777\) | −5.33541 | + | 4.00930i | −0.191407 | + | 0.143833i | ||||
\(778\) | 56.5477 | − | 9.18990i | 2.02733 | − | 0.329474i | ||||
\(779\) | 10.8267 | − | 5.68227i | 0.387905 | − | 0.203588i | ||||
\(780\) | 21.8057 | − | 24.6166i | 0.780769 | − | 0.881414i | ||||
\(781\) | 16.3669 | + | 8.59003i | 0.585655 | + | 0.307376i | ||||
\(782\) | −9.29621 | − | 3.10353i | −0.332432 | − | 0.110982i | ||||
\(783\) | 1.39599 | − | 6.83802i | 0.0498887 | − | 0.244371i | ||||
\(784\) | −0.954349 | + | 3.29480i | −0.0340839 | + | 0.117671i | ||||
\(785\) | −4.26564 | − | 35.1307i | −0.152247 | − | 1.25387i | ||||
\(786\) | −33.2382 | + | 11.0965i | −1.18557 | + | 0.395800i | ||||
\(787\) | 37.8297 | + | 6.14792i | 1.34848 | + | 0.219150i | 0.791396 | − | 0.611304i | \(-0.209355\pi\) |
0.557087 | + | 0.830454i | \(0.311919\pi\) | |||||||
\(788\) | −6.64923 | + | 3.48979i | −0.236869 | + | 0.124318i | ||||
\(789\) | −2.73507 | + | 1.72955i | −0.0973710 | + | 0.0615737i | ||||
\(790\) | 25.8329 | − | 11.0063i | 0.919092 | − | 0.391588i | ||||
\(791\) | −1.15475 | + | 5.65635i | −0.0410582 | + | 0.201117i | ||||
\(792\) | −6.96982 | − | 1.71791i | −0.247662 | − | 0.0610432i | ||||
\(793\) | −17.0880 | + | 8.10963i | −0.606812 | + | 0.287981i | ||||
\(794\) | 41.6274 | − | 10.2602i | 1.47730 | − | 0.364122i | ||||
\(795\) | −0.793001 | − | 19.6781i | −0.0281249 | − | 0.697911i | ||||
\(796\) | 1.15575 | + | 28.6798i | 0.0409646 | + | 1.01653i | ||||
\(797\) | 21.9010 | + | 26.8239i | 0.775774 | + | 0.950151i | 0.999701 | − | 0.0244548i | \(-0.00778499\pi\) |
−0.223926 | + | 0.974606i | \(0.571888\pi\) | |||||||
\(798\) | −9.16867 | + | 24.1758i | −0.324567 | + | 0.855814i | ||||
\(799\) | −0.0350934 | − | 0.0739577i | −0.00124151 | − | 0.00261643i | ||||
\(800\) | 0.290648 | − | 1.00343i | 0.0102760 | − | 0.0354767i | ||||
\(801\) | −9.18347 | + | 13.3046i | −0.324482 | + | 0.470094i | ||||
\(802\) | −36.0497 | − | 15.3593i | −1.27296 | − | 0.542357i | ||||
\(803\) | 22.5031 | − | 3.65712i | 0.794118 | − | 0.129057i | ||||
\(804\) | 32.4401 | + | 20.5139i | 1.14407 | + | 0.723468i | ||||
\(805\) | 14.6205 | + | 21.1814i | 0.515304 | + | 0.746547i | ||||
\(806\) | −14.7105 | + | 8.49430i | −0.518155 | + | 0.299199i | ||||
\(807\) | 4.72951 | − | 6.85187i | 0.166487 | − | 0.241197i | ||||
\(808\) | 70.6511 | − | 30.1016i | 2.48550 | − | 1.05897i | ||||
\(809\) | 5.63958 | + | 19.4701i | 0.198277 | + | 0.684532i | 0.996607 | + | 0.0823110i | \(0.0262301\pi\) |
−0.798330 | + | 0.602221i | \(0.794283\pi\) | |||||||
\(810\) | 5.73038 | − | 0.462604i | 0.201345 | − | 0.0162542i | ||||
\(811\) | 15.3984 | − | 13.6418i | 0.540711 | − | 0.479028i | −0.348001 | − | 0.937494i | \(-0.613139\pi\) |
0.888712 | + | 0.458466i | \(0.151601\pi\) | |||||||
\(812\) | −54.7130 | + | 34.5984i | −1.92005 | + | 1.21417i | ||||
\(813\) | −20.5588 | − | 8.75931i | −0.721030 | − | 0.307202i | ||||
\(814\) | 1.30261 | − | 10.7279i | 0.0456564 | − | 0.376014i | ||||
\(815\) | −2.44750 | − | 11.9887i | −0.0857322 | − | 0.419944i | ||||
\(816\) | 2.73135 | + | 0.220497i | 0.0956163 | + | 0.00771894i | ||||
\(817\) | −5.75560 | + | 4.32506i | −0.201363 | + | 0.151315i | ||||
\(818\) | −5.28170 | + | 43.4987i | −0.184670 | + | 1.52090i | ||||
\(819\) | 3.42223 | + | 8.03092i | 0.119583 | + | 0.280623i | ||||
\(820\) | 3.03961 | + | 25.0334i | 0.106148 | + | 0.874205i | ||||
\(821\) | 26.9869 | + | 28.0964i | 0.941851 | + | 0.980570i | 0.999843 | − | 0.0177466i | \(-0.00564921\pi\) |
−0.0579918 | + | 0.998317i | \(0.518470\pi\) | |||||||
\(822\) | −22.3666 | − | 38.7401i | −0.780125 | − | 1.35122i | ||||
\(823\) | 20.0902 | − | 34.7972i | 0.700300 | − | 1.21295i | −0.268061 | − | 0.963402i | \(-0.586383\pi\) |
0.968361 | − | 0.249553i | \(-0.0802837\pi\) | |||||||
\(824\) | 62.4196 | − | 15.3851i | 2.17449 | − | 0.535964i | ||||
\(825\) | −0.686114 | − | 0.840337i | −0.0238874 | − | 0.0292568i | ||||
\(826\) | −19.5813 | + | 33.9159i | −0.681322 | + | 1.18008i | ||||
\(827\) | 16.5908 | + | 43.7465i | 0.576920 | + | 1.52121i | 0.832273 | + | 0.554366i | \(0.187039\pi\) |
−0.255353 | + | 0.966848i | \(0.582192\pi\) | |||||||
\(828\) | 11.8491 | − | 12.3363i | 0.411786 | − | 0.428714i | ||||
\(829\) | −34.4553 | − | 11.5029i | −1.19668 | − | 0.399511i | −0.352625 | − | 0.935765i | \(-0.614711\pi\) |
−0.844057 | + | 0.536254i | \(0.819839\pi\) | |||||||
\(830\) | −9.57516 | − | 33.0573i | −0.332359 | − | 1.14744i | ||||
\(831\) | 2.32107 | − | 2.05629i | 0.0805169 | − | 0.0713318i | ||||
\(832\) | −8.46194 | − | 34.3224i | −0.293365 | − | 1.18992i | ||||
\(833\) | 0.774223 | + | 0.685902i | 0.0268252 | + | 0.0237651i | ||||
\(834\) | −19.7544 | + | 41.6314i | −0.684037 | + | 1.44158i | ||||
\(835\) | −11.3732 | − | 11.8408i | −0.393586 | − | 0.409767i | ||||
\(836\) | −11.7921 | − | 24.8513i | −0.407838 | − | 0.859500i | ||||
\(837\) | −1.89436 | − | 0.466917i | −0.0654786 | − | 0.0161390i | ||||
\(838\) | −18.6747 | + | 19.4424i | −0.645107 | + | 0.671628i | ||||
\(839\) | −1.41192 | − | 1.06099i | −0.0487448 | − | 0.0366293i | 0.576091 | − | 0.817386i | \(-0.304578\pi\) |
−0.624835 | + | 0.780757i | \(0.714834\pi\) | |||||||
\(840\) | −19.0768 | − | 16.9006i | −0.658213 | − | 0.583126i | ||||
\(841\) | 19.4522 | + | 3.16129i | 0.670765 | + | 0.109010i | ||||
\(842\) | −21.8848 | − | 13.8391i | −0.754202 | − | 0.476928i | ||||
\(843\) | 24.8349 | + | 2.00488i | 0.855360 | + | 0.0690518i | ||||
\(844\) | 5.87264 | 0.202145 | ||||||||
\(845\) | 23.1642 | − | 20.5267i | 0.796872 | − | 0.706140i | ||||
\(846\) | 0.217462 | 0.00747651 | ||||||||
\(847\) | 20.1852 | + | 1.62951i | 0.693570 | + | 0.0559908i | ||||
\(848\) | 21.0760 | + | 13.3277i | 0.723754 | + | 0.457674i | ||||
\(849\) | 10.4374 | + | 1.69625i | 0.358211 | + | 0.0582150i | ||||
\(850\) | 1.09784 | + | 0.972603i | 0.0376557 | + | 0.0333600i | ||||
\(851\) | 9.83909 | + | 7.39360i | 0.337280 | + | 0.253449i | ||||
\(852\) | 30.2136 | − | 31.4557i | 1.03510 | − | 1.07766i | ||||
\(853\) | −35.6796 | − | 8.79423i | −1.22165 | − | 0.301109i | −0.424798 | − | 0.905288i | \(-0.639655\pi\) |
−0.796848 | + | 0.604179i | \(0.793501\pi\) | |||||||
\(854\) | 13.1484 | + | 27.7096i | 0.449928 | + | 0.948202i | ||||
\(855\) | 7.29367 | + | 7.59352i | 0.249438 | + | 0.259693i | ||||
\(856\) | 16.3154 | − | 34.3841i | 0.557651 | − | 1.17522i | ||||
\(857\) | 39.0154 | + | 34.5646i | 1.33274 | + | 1.18071i | 0.968389 | + | 0.249444i | \(0.0802479\pi\) |
0.364352 | + | 0.931261i | \(0.381291\pi\) | |||||||
\(858\) | −13.2173 | − | 5.01173i | −0.451230 | − | 0.171098i | ||||
\(859\) | 11.0380 | − | 9.77880i | 0.376611 | − | 0.333648i | −0.453490 | − | 0.891261i | \(-0.649821\pi\) |
0.830101 | + | 0.557613i | \(0.188283\pi\) | |||||||
\(860\) | −4.13103 | − | 14.2620i | −0.140867 | − | 0.486330i | ||||
\(861\) | −6.34958 | − | 2.11980i | −0.216393 | − | 0.0722426i | ||||
\(862\) | 39.9564 | − | 41.5990i | 1.36092 | − | 1.41687i | ||||
\(863\) | 5.97337 | + | 15.7505i | 0.203336 | + | 0.536152i | 0.997430 | − | 0.0716418i | \(-0.0228238\pi\) |
−0.794095 | + | 0.607794i | \(0.792055\pi\) | |||||||
\(864\) | 0.781717 | − | 1.35397i | 0.0265945 | − | 0.0460631i | ||||
\(865\) | −27.7207 | − | 33.9516i | −0.942530 | − | 1.15439i | ||||
\(866\) | −55.5381 | + | 13.6889i | −1.88726 | + | 0.465168i | ||||
\(867\) | −8.08685 | + | 14.0068i | −0.274644 | + | 0.475697i | ||||
\(868\) | 9.04851 | + | 15.6725i | 0.307127 | + | 0.531959i | ||||
\(869\) | −5.49326 | − | 5.71909i | −0.186346 | − | 0.194007i | ||||
\(870\) | 4.83627 | + | 39.8303i | 0.163965 | + | 1.35037i | ||||
\(871\) | 27.9827 | + | 22.8443i | 0.948156 | + | 0.774050i | ||||
\(872\) | 5.11399 | − | 42.1175i | 0.173182 | − | 1.42628i | ||||
\(873\) | 0.475120 | − | 0.357029i | 0.0160804 | − | 0.0120836i | ||||
\(874\) | 47.5268 | + | 3.83676i | 1.60762 | + | 0.129780i | ||||
\(875\) | 4.99464 | + | 24.4653i | 0.168850 | + | 0.827080i | ||||
\(876\) | 6.48433 | − | 53.4033i | 0.219085 | − | 1.80433i | ||||
\(877\) | −47.0543 | − | 20.0479i | −1.58891 | − | 0.676971i | −0.596805 | − | 0.802386i | \(-0.703563\pi\) |
−0.992104 | + | 0.125415i | \(0.959974\pi\) | |||||||
\(878\) | −39.7853 | + | 25.1587i | −1.34269 | + | 0.849066i | ||||
\(879\) | −22.8787 | + | 20.2687i | −0.771678 | + | 0.683647i | ||||
\(880\) | 11.6146 | − | 0.937624i | 0.391527 | − | 0.0316073i | ||||
\(881\) | 4.21813 | + | 14.5627i | 0.142112 | + | 0.490628i | 0.999720 | − | 0.0236764i | \(-0.00753715\pi\) |
−0.857607 | + | 0.514305i | \(0.828050\pi\) | |||||||
\(882\) | −2.52785 | + | 1.07702i | −0.0851171 | + | 0.0362650i | ||||
\(883\) | −2.62215 | + | 3.79884i | −0.0882424 | + | 0.127841i | −0.864619 | − | 0.502428i | \(-0.832440\pi\) |
0.776377 | + | 0.630269i | \(0.217056\pi\) | |||||||
\(884\) | 12.3024 | + | 2.51076i | 0.413773 | + | 0.0844461i | ||||
\(885\) | 9.05930 | + | 13.1247i | 0.304525 | + | 0.441181i | ||||
\(886\) | −51.8655 | − | 32.7978i | −1.74246 | − | 1.10186i | ||||
\(887\) | 48.6647 | − | 7.90879i | 1.63400 | − | 0.265551i | 0.726987 | − | 0.686651i | \(-0.240920\pi\) |
0.907014 | + | 0.421100i | \(0.138356\pi\) | |||||||
\(888\) | −11.2122 | − | 4.77707i | −0.376256 | − | 0.160308i | ||||
\(889\) | 23.1767 | − | 33.5773i | 0.777322 | − | 1.12615i | ||||
\(890\) | 25.8576 | − | 89.2706i | 0.866747 | − | 2.99236i | ||||
\(891\) | −0.696010 | − | 1.46681i | −0.0233172 | − | 0.0491400i | ||||
\(892\) | 23.4679 | − | 61.8798i | 0.785764 | − | 2.07189i | ||||
\(893\) | 0.251883 | + | 0.308501i | 0.00842895 | + | 0.0103236i | ||||
\(894\) | −0.323025 | − | 8.01579i | −0.0108036 | − | 0.268088i | ||||
\(895\) | 1.70206 | + | 42.2362i | 0.0568936 | + | 1.41180i | ||||
\(896\) | −48.3052 | + | 11.9062i | −1.61376 | + | 0.397757i | ||||
\(897\) | 12.4694 | − | 10.1822i | 0.416340 | − | 0.339974i | ||||
\(898\) | 22.7154 | + | 5.59885i | 0.758023 | + | 0.186836i | ||||
\(899\) | 2.72365 | − | 13.3413i | 0.0908389 | − | 0.444958i | ||||
\(900\) | −2.35502 | + | 1.00338i | −0.0785005 | + | 0.0334459i | ||||
\(901\) | 6.35527 | − | 4.01883i | 0.211725 | − | 0.133887i | ||||
\(902\) | 9.59781 | − | 5.03732i | 0.319572 | − | 0.167724i | ||||
\(903\) | 3.89051 | + | 0.632269i | 0.129468 | + | 0.0210406i | ||||
\(904\) | −9.99974 | + | 3.33841i | −0.332587 | + | 0.111034i | ||||
\(905\) | −0.214323 | − | 1.76511i | −0.00712434 | − | 0.0586742i | ||||
\(906\) | 11.6616 | − | 40.2606i | 0.387432 | − | 1.33757i | ||||
\(907\) | 2.01965 | − | 9.89289i | 0.0670613 | − | 0.328488i | −0.932396 | − | 0.361439i | \(-0.882285\pi\) |
0.999457 | + | 0.0329513i | \(0.0104906\pi\) | |||||||
\(908\) | −86.2207 | − | 28.7847i | −2.86134 | − | 0.955254i | ||||
\(909\) | 15.3797 | + | 8.07191i | 0.510114 | + | 0.267728i | ||||
\(910\) | −33.2825 | − | 37.5636i | −1.10330 | − | 1.24522i | ||||
\(911\) | 36.9460 | − | 19.3908i | 1.22408 | − | 0.642445i | 0.276205 | − | 0.961099i | \(-0.410923\pi\) |
0.947871 | + | 0.318654i | \(0.103231\pi\) | |||||||
\(912\) | −13.1590 | + | 2.13855i | −0.435739 | + | 0.0708144i | ||||
\(913\) | −7.77007 | + | 5.83883i | −0.257152 | + | 0.193237i | ||||
\(914\) | 3.27138 | − | 81.1785i | 0.108208 | − | 2.68514i | ||||
\(915\) | 12.4896 | 0.412895 | ||||||||
\(916\) | −2.11106 | + | 52.3855i | −0.0697515 | + | 1.73087i | ||||
\(917\) | 7.02788 | + | 34.4249i | 0.232081 | + | 1.13681i | ||||
\(918\) | 1.24691 | + | 1.80646i | 0.0411542 | + | 0.0596222i | ||||
\(919\) | −2.20553 | + | 0.736316i | −0.0727539 | + | 0.0242888i | −0.352812 | − | 0.935694i | \(-0.614774\pi\) |
0.280058 | + | 0.959983i | \(0.409646\pi\) | |||||||
\(920\) | −20.1484 | + | 42.4619i | −0.664274 | + | 1.39993i | ||||
\(921\) | 21.1936 | − | 25.9574i | 0.698351 | − | 0.855325i | ||||
\(922\) | 25.2747 | + | 66.6439i | 0.832377 | + | 2.19480i | ||||
\(923\) | 31.7952 | − | 25.9632i | 1.04655 | − | 0.854589i | ||||
\(924\) | −5.34014 | + | 14.0808i | −0.175678 | + | 0.463224i | ||||
\(925\) | −0.920931 | − | 1.59510i | −0.0302800 | − | 0.0524465i | ||||
\(926\) | −57.8582 | + | 70.8634i | −1.90134 | + | 2.32872i | ||||
\(927\) | 11.6240 | + | 8.73488i | 0.381783 | + | 0.286891i | ||||
\(928\) | 9.66148 | + | 5.07074i | 0.317154 | + | 0.166455i | ||||
\(929\) | 5.65726 | − | 0.456701i | 0.185609 | − | 0.0149839i | 0.0126872 | − | 0.999920i | \(-0.495961\pi\) |
0.172921 | + | 0.984936i | \(0.444679\pi\) | |||||||
\(930\) | 11.1803 | − | 0.902564i | 0.366615 | − | 0.0295962i | ||||
\(931\) | −4.45587 | − | 2.33862i | −0.146035 | − | 0.0766451i | ||||
\(932\) | 53.6386 | + | 40.3068i | 1.75699 | + | 1.32029i | ||||
\(933\) | 9.93206 | − | 12.1646i | 0.325161 | − | 0.398250i | ||||
\(934\) | −26.9745 | − | 46.7212i | −0.882633 | − | 1.52877i | ||||
\(935\) | 1.24596 | − | 3.28532i | 0.0407472 | − | 0.107441i | ||||
\(936\) | −9.57599 | + | 12.7449i | −0.313001 | + | 0.416581i | ||||
\(937\) | 16.7394 | + | 44.1383i | 0.546853 | + | 1.44193i | 0.868794 | + | 0.495174i | \(0.164896\pi\) |
−0.321940 | + | 0.946760i | \(0.604335\pi\) | |||||||
\(938\) | 37.0456 | − | 45.3726i | 1.20958 | − | 1.48147i | ||||
\(939\) | 2.82448 | − | 5.95247i | 0.0921735 | − | 0.194252i | ||||
\(940\) | −0.779114 | + | 0.260106i | −0.0254119 | + | 0.00848373i | ||||
\(941\) | −20.0868 | − | 29.1007i | −0.654810 | − | 0.948657i | −0.999949 | − | 0.0101048i | \(-0.996783\pi\) |
0.345139 | − | 0.938552i | \(-0.387832\pi\) | |||||||
\(942\) | 7.17959 | + | 35.1679i | 0.233924 | + | 1.14583i | ||||
\(943\) | −0.497068 | + | 12.3346i | −0.0161868 | + | 0.401671i | ||||
\(944\) | −20.1927 | −0.657218 | ||||||||
\(945\) | 0.232106 | − | 5.75966i | 0.00755042 | − | 0.187362i | ||||
\(946\) | −5.10233 | + | 3.83415i | −0.165891 | + | 0.124659i | ||||
\(947\) | −11.6256 | + | 1.88934i | −0.377781 | + | 0.0613953i | −0.346337 | − | 0.938110i | \(-0.612575\pi\) |
−0.0314437 | + | 0.999506i | \(0.510010\pi\) | |||||||
\(948\) | −16.5683 | + | 8.69574i | −0.538115 | + | 0.282424i | ||||
\(949\) | 12.1135 | − | 49.1593i | 0.393221 | − | 1.59578i | ||||
\(950\) | −6.31838 | − | 3.31614i | −0.204995 | − | 0.107590i | ||||
\(951\) | 19.4747 | + | 6.50162i | 0.631511 | + | 0.210829i | ||||
\(952\) | 1.94643 | − | 9.53422i | 0.0630840 | − | 0.309006i | ||||
\(953\) | −13.1924 | + | 45.5453i | −0.427343 | + | 1.47536i | 0.401491 | + | 0.915863i | \(0.368492\pi\) |
−0.828834 | + | 0.559495i | \(0.810995\pi\) | |||||||
\(954\) | 2.40771 | + | 19.8293i | 0.0779525 | + | 0.641996i | ||||
\(955\) | 1.95708 | − | 0.653371i | 0.0633298 | − | 0.0211426i | ||||
\(956\) | −64.1785 | − | 10.4300i | −2.07568 | − | 0.337331i | ||||
\(957\) | 10.0331 | − | 5.26576i | 0.324323 | − | 0.170218i | ||||
\(958\) | −63.2432 | + | 39.9926i | −2.04329 | + | 1.29210i | ||||
\(959\) | −41.2633 | + | 17.5806i | −1.33246 | + | 0.567709i | ||||
\(960\) | −4.66905 | + | 22.8705i | −0.150693 | + | 0.738142i | ||||
\(961\) | 26.4032 | + | 6.50781i | 0.851716 | + | 0.209929i | ||||
\(962\) | −20.7846 | − | 11.9983i | −0.670123 | − | 0.386841i | ||||
\(963\) | 8.35771 | − | 2.05999i | 0.269324 | − | 0.0663823i | ||||
\(964\) | 2.13793 | + | 53.0522i | 0.0688581 | + | 1.70870i | ||||
\(965\) | 1.40703 | + | 34.9152i | 0.0452941 | + | 1.12396i | ||||
\(966\) | −16.5096 | − | 20.2205i | −0.531186 | − | 0.650585i | ||||
\(967\) | −8.03325 | + | 21.1819i | −0.258332 | + | 0.681165i | 0.741615 | + | 0.670826i | \(0.234060\pi\) |
−0.999947 | + | 0.0103390i | \(0.996709\pi\) | |||||||
\(968\) | 15.8533 | + | 33.4102i | 0.509546 | + | 1.07384i | ||||
\(969\) | −1.11844 | + | 3.86132i | −0.0359296 | + | 0.124043i | ||||
\(970\) | −1.94092 | + | 2.81191i | −0.0623191 | + | 0.0902849i | ||||
\(971\) | 31.0640 | + | 13.2351i | 0.996892 | + | 0.424736i | 0.827896 | − | 0.560881i | \(-0.189538\pi\) |
0.168995 | + | 0.985617i | \(0.445948\pi\) | |||||||
\(972\) | −3.78139 | + | 0.614535i | −0.121288 | + | 0.0197112i | ||||
\(973\) | 39.0505 | + | 24.6940i | 1.25190 | + | 0.791655i | ||||
\(974\) | −24.4501 | − | 35.4221i | −0.783431 | − | 1.13500i | ||||
\(975\) | −2.31405 | + | 0.670427i | −0.0741090 | + | 0.0214708i | ||||
\(976\) | −8.98352 | + | 13.0149i | −0.287555 | + | 0.416596i | ||||
\(977\) | −3.28534 | + | 1.39975i | −0.105107 | + | 0.0447821i | −0.443880 | − | 0.896086i | \(-0.646398\pi\) |
0.338773 | + | 0.940868i | \(0.389988\pi\) | |||||||
\(978\) | 3.45279 | + | 11.9204i | 0.110408 | + | 0.381173i | ||||
\(979\) | −26.1618 | + | 2.11200i | −0.836136 | + | 0.0674999i | ||||
\(980\) | 7.76844 | − | 6.88224i | 0.248154 | − | 0.219845i | ||||
\(981\) | 8.11029 | − | 5.12863i | 0.258942 | − | 0.163745i | ||||
\(982\) | 29.8748 | + | 12.7284i | 0.953342 | + | 0.406181i | ||||
\(983\) | 0.673757 | − | 5.54888i | 0.0214895 | − | 0.176982i | −0.978012 | − | 0.208548i | \(-0.933126\pi\) |
0.999502 | + | 0.0315659i | \(0.0100494\pi\) | |||||||
\(984\) | −2.44517 | − | 11.9772i | −0.0779491 | − | 0.381820i | ||||
\(985\) | 4.65162 | + | 0.375518i | 0.148213 | + | 0.0119650i | ||||
\(986\) | −12.2468 | + | 9.20287i | −0.390017 | + | 0.293079i | ||||
\(987\) | 0.0262820 | − | 0.216452i | 0.000836566 | − | 0.00688974i | ||||
\(988\) | −61.0370 | + | 2.46343i | −1.94185 | + | 0.0783722i | ||||
\(989\) | −0.876140 | − | 7.21567i | −0.0278596 | − | 0.229445i | ||||
\(990\) | 6.46582 | + | 6.73164i | 0.205497 | + | 0.213945i | ||||
\(991\) | −9.69412 | − | 16.7907i | −0.307944 | − | 0.533374i | 0.669969 | − | 0.742389i | \(-0.266308\pi\) |
−0.977912 | + | 0.209015i | \(0.932974\pi\) | |||||||
\(992\) | 1.52517 | − | 2.64167i | 0.0484242 | − | 0.0838731i | ||||
\(993\) | −3.02035 | + | 0.744450i | −0.0958480 | + | 0.0236244i | ||||
\(994\) | −42.0971 | − | 51.5596i | −1.33524 | − | 1.63537i | ||||
\(995\) | 8.91884 | − | 15.4479i | 0.282746 | − | 0.489731i | ||||
\(996\) | 8.13250 | + | 21.4436i | 0.257688 | + | 0.679468i | ||||
\(997\) | 24.4165 | − | 25.4202i | 0.773277 | − | 0.805067i | −0.211776 | − | 0.977318i | \(-0.567925\pi\) |
0.985053 | + | 0.172251i | \(0.0551041\pi\) | |||||||
\(998\) | −43.6061 | − | 14.5579i | −1.38033 | − | 0.460821i | ||||
\(999\) | −0.766898 | − | 2.64764i | −0.0242636 | − | 0.0837676i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 507.2.q.a.16.14 | ✓ | 360 | |
169.74 | even | 39 | inner | 507.2.q.a.412.14 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.q.a.16.14 | ✓ | 360 | 1.1 | even | 1 | trivial | |
507.2.q.a.412.14 | yes | 360 | 169.74 | even | 39 | inner |