Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [93,2,Mod(11,93)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(93, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("93.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 93 = 3 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 93.p (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.742608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 93.11 |
Dual form | 93.2.p.b.17.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/93\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(34\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.49541 | + | 0.810809i | −1.76452 | + | 0.573329i | −0.997653 | − | 0.0684719i | \(-0.978188\pi\) |
−0.766871 | + | 0.641801i | \(0.778188\pi\) | |||||||
\(3\) | 0.448212 | + | 1.67305i | 0.258775 | + | 0.965938i | ||||
\(4\) | 3.95165 | − | 2.87104i | 1.97582 | − | 1.43552i | ||||
\(5\) | 2.63849 | − | 1.52333i | 1.17997 | − | 0.681254i | 0.223960 | − | 0.974598i | \(-0.428101\pi\) |
0.956007 | + | 0.293344i | \(0.0947681\pi\) | |||||||
\(6\) | −2.47500 | − | 3.81155i | −1.01042 | − | 1.55606i | ||||
\(7\) | 0.249973 | + | 2.37834i | 0.0944810 | + | 0.898927i | 0.934403 | + | 0.356219i | \(0.115934\pi\) |
−0.839922 | + | 0.542708i | \(0.817399\pi\) | |||||||
\(8\) | −4.44863 | + | 6.12302i | −1.57283 | + | 2.16481i | ||||
\(9\) | −2.59821 | + | 1.49976i | −0.866071 | + | 0.499922i | ||||
\(10\) | −5.34899 | + | 5.94065i | −1.69150 | + | 1.87860i | ||||
\(11\) | 1.54619 | + | 0.688406i | 0.466193 | + | 0.207562i | 0.626370 | − | 0.779526i | \(-0.284540\pi\) |
−0.160177 | + | 0.987088i | \(0.551207\pi\) | |||||||
\(12\) | 6.57458 | + | 5.32448i | 1.89792 | + | 1.53705i | ||||
\(13\) | −0.291741 | − | 1.37253i | −0.0809144 | − | 0.380672i | 0.918993 | − | 0.394274i | \(-0.129004\pi\) |
−0.999907 | + | 0.0136013i | \(0.995670\pi\) | |||||||
\(14\) | −2.55216 | − | 5.73226i | −0.682095 | − | 1.53201i | ||||
\(15\) | 3.73121 | + | 3.73155i | 0.963395 | + | 0.963483i | ||||
\(16\) | 3.11779 | − | 9.59557i | 0.779448 | − | 2.39889i | ||||
\(17\) | −1.93865 | + | 0.863144i | −0.470193 | + | 0.209343i | −0.628134 | − | 0.778105i | \(-0.716181\pi\) |
0.157941 | + | 0.987449i | \(0.449514\pi\) | |||||||
\(18\) | 5.26759 | − | 5.84919i | 1.24158 | − | 1.37867i | ||||
\(19\) | −2.45568 | − | 0.521972i | −0.563372 | − | 0.119748i | −0.0825823 | − | 0.996584i | \(-0.526317\pi\) |
−0.480790 | + | 0.876836i | \(0.659650\pi\) | |||||||
\(20\) | 6.05283 | − | 13.5949i | 1.35345 | − | 3.03991i | ||||
\(21\) | −3.86704 | + | 1.48422i | −0.843858 | + | 0.323883i | ||||
\(22\) | −4.41654 | − | 0.464197i | −0.941610 | − | 0.0989672i | ||||
\(23\) | 5.55133 | + | 4.03327i | 1.15753 | + | 0.840996i | 0.989464 | − | 0.144780i | \(-0.0462474\pi\) |
0.168067 | + | 0.985775i | \(0.446247\pi\) | |||||||
\(24\) | −12.2381 | − | 4.69839i | −2.49808 | − | 0.959054i | ||||
\(25\) | 2.14107 | − | 3.70845i | 0.428215 | − | 0.741690i | ||||
\(26\) | 1.84088 | + | 3.18849i | 0.361026 | + | 0.625315i | ||||
\(27\) | −3.67374 | − | 3.67473i | −0.707011 | − | 0.707203i | ||||
\(28\) | 7.81611 | + | 8.68067i | 1.47711 | + | 1.64049i | ||||
\(29\) | −2.09702 | − | 6.45397i | −0.389407 | − | 1.19847i | −0.933232 | − | 0.359274i | \(-0.883024\pi\) |
0.543825 | − | 0.839199i | \(-0.316976\pi\) | |||||||
\(30\) | −12.3365 | − | 6.28647i | −2.25233 | − | 1.14775i | ||||
\(31\) | 3.23934 | − | 4.52843i | 0.581802 | − | 0.813330i | ||||
\(32\) | 11.3359i | 2.00393i | ||||||||
\(33\) | −0.458721 | + | 2.89540i | −0.0798531 | + | 0.504025i | ||||
\(34\) | 4.13790 | − | 3.72578i | 0.709644 | − | 0.638966i | ||||
\(35\) | 4.28255 | + | 5.89442i | 0.723882 | + | 0.996339i | ||||
\(36\) | −5.96133 | + | 13.3861i | −0.993556 | + | 2.23102i | ||||
\(37\) | −0.261230 | − | 0.150821i | −0.0429460 | − | 0.0247949i | 0.478373 | − | 0.878157i | \(-0.341227\pi\) |
−0.521319 | + | 0.853362i | \(0.674560\pi\) | |||||||
\(38\) | 6.55117 | − | 0.688555i | 1.06274 | − | 0.111698i | ||||
\(39\) | 2.16556 | − | 1.10328i | 0.346767 | − | 0.176667i | ||||
\(40\) | −2.41028 | + | 22.9322i | −0.381098 | + | 3.62590i | ||||
\(41\) | −2.86386 | − | 2.57863i | −0.447260 | − | 0.402715i | 0.414485 | − | 0.910056i | \(-0.363962\pi\) |
−0.861745 | + | 0.507341i | \(0.830628\pi\) | |||||||
\(42\) | 8.44646 | − | 6.83917i | 1.30332 | − | 1.05531i | ||||
\(43\) | 0.0590713 | − | 0.277909i | 0.00900829 | − | 0.0423807i | −0.973414 | − | 0.229053i | \(-0.926437\pi\) |
0.982422 | + | 0.186673i | \(0.0597703\pi\) | |||||||
\(44\) | 8.08642 | − | 1.71882i | 1.21907 | − | 0.259122i | ||||
\(45\) | −4.57071 | + | 7.91505i | −0.681361 | + | 1.17991i | ||||
\(46\) | −17.1231 | − | 5.56362i | −2.52466 | − | 0.820312i | ||||
\(47\) | −7.84369 | − | 2.54857i | −1.14412 | − | 0.371747i | −0.325195 | − | 0.945647i | \(-0.605430\pi\) |
−0.818926 | + | 0.573900i | \(0.805430\pi\) | |||||||
\(48\) | 17.4513 | + | 0.915378i | 2.51888 | + | 0.132123i | ||||
\(49\) | 1.25303 | − | 0.266341i | 0.179005 | − | 0.0380486i | ||||
\(50\) | −2.33602 | + | 10.9901i | −0.330364 | + | 1.55424i | ||||
\(51\) | −2.31301 | − | 2.85660i | −0.323887 | − | 0.400004i | ||||
\(52\) | −5.09346 | − | 4.58617i | −0.706335 | − | 0.635987i | ||||
\(53\) | 0.606839 | − | 5.77368i | 0.0833557 | − | 0.793077i | −0.870370 | − | 0.492398i | \(-0.836120\pi\) |
0.953726 | − | 0.300678i | \(-0.0972130\pi\) | |||||||
\(54\) | 12.1470 | + | 6.19129i | 1.65300 | + | 0.842527i | ||||
\(55\) | 5.12826 | − | 0.539002i | 0.691495 | − | 0.0726790i | ||||
\(56\) | −15.6746 | − | 9.04975i | −2.09461 | − | 1.20932i | ||||
\(57\) | −0.227381 | − | 4.34244i | −0.0301173 | − | 0.575170i | ||||
\(58\) | 10.4659 | + | 14.4051i | 1.37424 | + | 1.89148i | ||||
\(59\) | −2.46954 | + | 2.22358i | −0.321507 | + | 0.289486i | −0.814041 | − | 0.580807i | \(-0.802737\pi\) |
0.492535 | + | 0.870293i | \(0.336070\pi\) | |||||||
\(60\) | 25.4579 | + | 4.03331i | 3.28660 | + | 0.520699i | ||||
\(61\) | 5.41677i | 0.693546i | 0.937949 | + | 0.346773i | \(0.112723\pi\) | ||||
−0.937949 | + | 0.346773i | \(0.887277\pi\) | |||||||
\(62\) | −4.41180 | + | 13.9268i | −0.560299 | + | 1.76871i | ||||
\(63\) | −4.21643 | − | 5.80452i | −0.531220 | − | 0.731301i | ||||
\(64\) | −2.95570 | − | 9.09672i | −0.369463 | − | 1.13709i | ||||
\(65\) | −2.86058 | − | 3.17699i | −0.354811 | − | 0.394057i | ||||
\(66\) | −1.20292 | − | 7.59717i | −0.148069 | − | 0.935146i | ||||
\(67\) | −7.78480 | − | 13.4837i | −0.951065 | − | 1.64729i | −0.743127 | − | 0.669150i | \(-0.766658\pi\) |
−0.207937 | − | 0.978142i | \(-0.566675\pi\) | |||||||
\(68\) | −5.18276 | + | 8.97680i | −0.628502 | + | 1.08860i | ||||
\(69\) | −4.25971 | + | 11.0954i | −0.512809 | + | 1.33573i | ||||
\(70\) | −15.4660 | − | 11.2367i | −1.84854 | − | 1.34304i | ||||
\(71\) | 3.24555 | + | 0.341121i | 0.385176 | + | 0.0404837i | 0.295138 | − | 0.955455i | \(-0.404634\pi\) |
0.0900383 | + | 0.995938i | \(0.471301\pi\) | |||||||
\(72\) | 2.37541 | − | 22.5808i | 0.279944 | − | 2.66117i | ||||
\(73\) | 4.34844 | − | 9.76675i | 0.508946 | − | 1.14311i | −0.458190 | − | 0.888854i | \(-0.651502\pi\) |
0.967136 | − | 0.254258i | \(-0.0818312\pi\) | |||||||
\(74\) | 0.774165 | + | 0.164554i | 0.0899949 | + | 0.0191290i | ||||
\(75\) | 7.16409 | + | 1.91996i | 0.827238 | + | 0.221698i | ||||
\(76\) | −11.2026 | + | 4.98772i | −1.28503 | + | 0.572130i | ||||
\(77\) | −1.25076 | + | 3.84943i | −0.142537 | + | 0.438684i | ||||
\(78\) | −4.50941 | + | 4.50901i | −0.510591 | + | 0.510544i | ||||
\(79\) | 4.36023 | + | 9.79324i | 0.490564 | + | 1.10183i | 0.974021 | + | 0.226457i | \(0.0727144\pi\) |
−0.483457 | + | 0.875368i | \(0.660619\pi\) | |||||||
\(80\) | −6.39099 | − | 30.0672i | −0.714534 | − | 3.36162i | ||||
\(81\) | 4.50141 | − | 7.79341i | 0.500157 | − | 0.865935i | ||||
\(82\) | 9.23730 | + | 4.11271i | 1.02009 | + | 0.454173i | ||||
\(83\) | 5.11125 | − | 5.67662i | 0.561033 | − | 0.623090i | −0.394172 | − | 0.919037i | \(-0.628968\pi\) |
0.955204 | + | 0.295947i | \(0.0956351\pi\) | |||||||
\(84\) | −11.0199 | + | 16.9675i | −1.20237 | + | 1.85131i | ||||
\(85\) | −3.80026 | + | 5.23061i | −0.412196 | + | 0.567339i | ||||
\(86\) | 0.0779235 | + | 0.741393i | 0.00840271 | + | 0.0799465i | ||||
\(87\) | 9.85793 | − | 6.40118i | 1.05688 | − | 0.686278i | ||||
\(88\) | −11.0935 | + | 6.40485i | −1.18257 | + | 0.682760i | ||||
\(89\) | 2.65305 | − | 1.92756i | 0.281223 | − | 0.204321i | −0.438228 | − | 0.898864i | \(-0.644394\pi\) |
0.719451 | + | 0.694543i | \(0.244394\pi\) | |||||||
\(90\) | 4.98822 | − | 23.4573i | 0.525805 | − | 2.47262i | ||||
\(91\) | 3.19142 | − | 1.03695i | 0.334552 | − | 0.108702i | ||||
\(92\) | 33.5166 | 3.49434 | ||||||||
\(93\) | 9.02822 | + | 3.38989i | 0.936182 | + | 0.351515i | ||||
\(94\) | 21.6397 | 2.23196 | ||||||||
\(95\) | −7.27442 | + | 2.36360i | −0.746340 | + | 0.242501i | ||||
\(96\) | −18.9656 | + | 5.08090i | −1.93567 | + | 0.518568i | ||||
\(97\) | −13.0177 | + | 9.45789i | −1.32174 | + | 0.960304i | −0.321836 | + | 0.946796i | \(0.604300\pi\) |
−0.999909 | + | 0.0135081i | \(0.995700\pi\) | |||||||
\(98\) | −2.91089 | + | 1.68060i | −0.294044 | + | 0.169766i | ||||
\(99\) | −5.04977 | + | 0.530289i | −0.507521 | + | 0.0532961i | ||||
\(100\) | −2.18634 | − | 20.8016i | −0.218634 | − | 2.08016i | ||||
\(101\) | −1.24134 | + | 1.70856i | −0.123518 | + | 0.170008i | −0.866298 | − | 0.499528i | \(-0.833507\pi\) |
0.742780 | + | 0.669536i | \(0.233507\pi\) | |||||||
\(102\) | 8.08809 | + | 5.25299i | 0.800840 | + | 0.520123i | ||||
\(103\) | −8.06826 | + | 8.96071i | −0.794989 | + | 0.882925i | −0.995303 | − | 0.0968069i | \(-0.969137\pi\) |
0.200314 | + | 0.979732i | \(0.435804\pi\) | |||||||
\(104\) | 9.70189 | + | 4.31956i | 0.951349 | + | 0.423568i | ||||
\(105\) | −7.94219 | + | 9.80687i | −0.775078 | + | 0.957053i | ||||
\(106\) | 3.16704 | + | 14.8998i | 0.307610 | + | 1.44719i | ||||
\(107\) | 3.48512 | + | 7.82771i | 0.336919 | + | 0.756733i | 0.999967 | + | 0.00815578i | \(0.00259609\pi\) |
−0.663047 | + | 0.748577i | \(0.730737\pi\) | |||||||
\(108\) | −25.0676 | − | 3.97381i | −2.41213 | − | 0.382380i | ||||
\(109\) | −0.262579 | + | 0.808136i | −0.0251505 | + | 0.0774054i | −0.962844 | − | 0.270058i | \(-0.912957\pi\) |
0.937693 | + | 0.347464i | \(0.112957\pi\) | |||||||
\(110\) | −12.3601 | + | 5.50308i | −1.17849 | + | 0.524698i | ||||
\(111\) | 0.135246 | − | 0.504652i | 0.0128369 | − | 0.0478995i | ||||
\(112\) | 23.6009 | + | 5.01652i | 2.23007 | + | 0.474017i | ||||
\(113\) | −3.75731 | + | 8.43905i | −0.353458 | + | 0.793879i | 0.646074 | + | 0.763275i | \(0.276410\pi\) |
−0.999532 | + | 0.0306042i | \(0.990257\pi\) | |||||||
\(114\) | 4.08830 | + | 10.6518i | 0.382904 | + | 0.997635i | ||||
\(115\) | 20.7911 | + | 2.18523i | 1.93878 | + | 0.203774i | ||||
\(116\) | −26.8163 | − | 19.4832i | −2.48983 | − | 1.80897i | ||||
\(117\) | 2.81648 | + | 3.12859i | 0.260384 | + | 0.289238i | ||||
\(118\) | 4.35962 | − | 7.55109i | 0.401336 | − | 0.695134i | ||||
\(119\) | −2.53746 | − | 4.39501i | −0.232609 | − | 0.402890i | ||||
\(120\) | −39.4472 | + | 6.24598i | −3.60102 | + | 0.570178i | ||||
\(121\) | −5.44365 | − | 6.04579i | −0.494877 | − | 0.549617i | ||||
\(122\) | −4.39197 | − | 13.5171i | −0.397630 | − | 1.22378i | ||||
\(123\) | 3.03057 | − | 5.94717i | 0.273258 | − | 0.536238i | ||||
\(124\) | −0.200587 | − | 27.1950i | −0.0180133 | − | 2.44219i | ||||
\(125\) | 2.18705i | 0.195616i | ||||||||
\(126\) | 15.2281 | + | 11.0660i | 1.35663 | + | 0.985835i | ||||
\(127\) | −11.9894 | + | 10.7953i | −1.06389 | + | 0.957929i | −0.999201 | − | 0.0399769i | \(-0.987272\pi\) |
−0.0646870 | + | 0.997906i | \(0.520605\pi\) | |||||||
\(128\) | 1.42522 | + | 1.96164i | 0.125973 | + | 0.173386i | ||||
\(129\) | 0.491432 | − | 0.0257326i | 0.0432682 | − | 0.00226563i | ||||
\(130\) | 9.71426 | + | 5.60853i | 0.851997 | + | 0.491901i | ||||
\(131\) | 7.03331 | − | 0.739230i | 0.614503 | − | 0.0645869i | 0.207837 | − | 0.978164i | \(-0.433358\pi\) |
0.406666 | + | 0.913577i | \(0.366691\pi\) | |||||||
\(132\) | 6.50011 | + | 12.7586i | 0.565762 | + | 1.11050i | ||||
\(133\) | 0.627569 | − | 5.97092i | 0.0544171 | − | 0.517744i | ||||
\(134\) | 30.3590 | + | 27.3354i | 2.62262 | + | 2.36141i | ||||
\(135\) | −15.2909 | − | 4.09942i | −1.31603 | − | 0.352822i | ||||
\(136\) | 3.33931 | − | 15.7102i | 0.286344 | − | 1.34714i | ||||
\(137\) | 3.17561 | − | 0.674998i | 0.271311 | − | 0.0576689i | −0.0702470 | − | 0.997530i | \(-0.522379\pi\) |
0.341558 | + | 0.939861i | \(0.389045\pi\) | |||||||
\(138\) | 1.63347 | − | 31.1415i | 0.139050 | − | 2.65094i | ||||
\(139\) | 9.84596 | + | 3.19915i | 0.835123 | + | 0.271348i | 0.695202 | − | 0.718815i | \(-0.255315\pi\) |
0.139922 | + | 0.990163i | \(0.455315\pi\) | |||||||
\(140\) | 33.8462 | + | 10.9973i | 2.86053 | + | 0.929442i | ||||
\(141\) | 0.748256 | − | 14.2652i | 0.0630145 | − | 1.20135i | ||||
\(142\) | −8.37559 | + | 1.78029i | −0.702864 | + | 0.149398i | ||||
\(143\) | 0.493775 | − | 2.32303i | 0.0412915 | − | 0.194261i | ||||
\(144\) | 6.29042 | + | 29.6073i | 0.524202 | + | 2.46727i | ||||
\(145\) | −15.3645 | − | 13.8343i | −1.27595 | − | 1.14887i | ||||
\(146\) | −2.93218 | + | 27.8979i | −0.242669 | + | 2.30884i | ||||
\(147\) | 1.00723 | + | 1.97701i | 0.0830746 | + | 0.163061i | ||||
\(148\) | −1.46530 | + | 0.154010i | −0.120447 | + | 0.0126595i | ||||
\(149\) | −13.8800 | − | 8.01363i | −1.13710 | − | 0.656502i | −0.191386 | − | 0.981515i | \(-0.561298\pi\) |
−0.945710 | + | 0.325012i | \(0.894632\pi\) | |||||||
\(150\) | −19.4341 | + | 1.01762i | −1.58679 | + | 0.0830879i | ||||
\(151\) | −0.653671 | − | 0.899700i | −0.0531950 | − | 0.0732166i | 0.781591 | − | 0.623791i | \(-0.214409\pi\) |
−0.834786 | + | 0.550575i | \(0.814409\pi\) | |||||||
\(152\) | 14.1205 | − | 12.7141i | 1.14532 | − | 1.03125i | ||||
\(153\) | 3.74252 | − | 5.15016i | 0.302565 | − | 0.416366i | ||||
\(154\) | − | 10.6201i | − | 0.855789i | ||||||
\(155\) | 1.64865 | − | 16.8828i | 0.132423 | − | 1.35606i | ||||
\(156\) | 5.38995 | − | 10.5772i | 0.431542 | − | 0.846853i | ||||
\(157\) | −2.98289 | − | 9.18038i | −0.238060 | − | 0.732674i | −0.996701 | − | 0.0811647i | \(-0.974136\pi\) |
0.758640 | − | 0.651510i | \(-0.225864\pi\) | |||||||
\(158\) | −18.8210 | − | 20.9029i | −1.49732 | − | 1.66294i | ||||
\(159\) | 9.93167 | − | 1.57256i | 0.787633 | − | 0.124712i | ||||
\(160\) | 17.2684 | + | 29.9097i | 1.36519 | + | 2.36457i | ||||
\(161\) | −8.20480 | + | 14.2111i | −0.646629 | + | 1.11999i | ||||
\(162\) | −4.91392 | + | 23.0976i | −0.386074 | + | 1.81472i | ||||
\(163\) | 5.61004 | + | 4.07593i | 0.439412 | + | 0.319252i | 0.785401 | − | 0.618987i | \(-0.212457\pi\) |
−0.345989 | + | 0.938238i | \(0.612457\pi\) | |||||||
\(164\) | −18.7203 | − | 1.96759i | −1.46181 | − | 0.153643i | ||||
\(165\) | 3.20033 | + | 8.33827i | 0.249145 | + | 0.649133i | ||||
\(166\) | −8.15203 | + | 18.3098i | −0.632721 | + | 1.42111i | ||||
\(167\) | 1.66511 | + | 0.353929i | 0.128850 | + | 0.0273879i | 0.271885 | − | 0.962330i | \(-0.412353\pi\) |
−0.143035 | + | 0.989718i | \(0.545686\pi\) | |||||||
\(168\) | 8.11516 | − | 30.2807i | 0.626098 | − | 2.33621i | ||||
\(169\) | 10.0774 | − | 4.48673i | 0.775181 | − | 0.345133i | ||||
\(170\) | 5.24220 | − | 16.1338i | 0.402058 | − | 1.23741i | ||||
\(171\) | 7.16322 | − | 2.32675i | 0.547785 | − | 0.177931i | ||||
\(172\) | −0.564458 | − | 1.26779i | −0.0430395 | − | 0.0966683i | ||||
\(173\) | 4.00957 | + | 18.8635i | 0.304842 | + | 1.43417i | 0.817676 | + | 0.575679i | \(0.195262\pi\) |
−0.512834 | + | 0.858488i | \(0.671404\pi\) | |||||||
\(174\) | −19.4095 | + | 23.9665i | −1.47143 | + | 1.81690i | ||||
\(175\) | 9.35516 | + | 4.16518i | 0.707183 | + | 0.314858i | ||||
\(176\) | 11.4263 | − | 12.6902i | 0.861293 | − | 0.956562i | ||||
\(177\) | −4.82705 | − | 3.13503i | −0.362823 | − | 0.235643i | ||||
\(178\) | −5.05759 | + | 6.96118i | −0.379082 | + | 0.521762i | ||||
\(179\) | 1.67088 | + | 15.8973i | 0.124887 | + | 1.18822i | 0.860006 | + | 0.510284i | \(0.170460\pi\) |
−0.735119 | + | 0.677938i | \(0.762874\pi\) | |||||||
\(180\) | 4.66258 | + | 44.4002i | 0.347528 | + | 3.30939i | ||||
\(181\) | 17.7915 | − | 10.2719i | 1.32243 | − | 0.763507i | 0.338317 | − | 0.941032i | \(-0.390142\pi\) |
0.984116 | + | 0.177525i | \(0.0568091\pi\) | |||||||
\(182\) | −7.12314 | + | 5.17526i | −0.528002 | + | 0.383616i | ||||
\(183\) | −9.06254 | + | 2.42786i | −0.669922 | + | 0.179473i | ||||
\(184\) | −49.3916 | + | 16.0483i | −3.64120 | + | 1.18310i | ||||
\(185\) | −0.919004 | −0.0675665 | ||||||||
\(186\) | −25.2777 | − | 1.13901i | −1.85345 | − | 0.0835163i | ||||
\(187\) | −3.59171 | −0.262652 | ||||||||
\(188\) | −38.3126 | + | 12.4485i | −2.79423 | + | 0.907901i | ||||
\(189\) | 7.82142 | − | 9.65597i | 0.568925 | − | 0.702368i | ||||
\(190\) | 16.2363 | − | 11.7963i | 1.17790 | − | 0.855796i | ||||
\(191\) | −17.9403 | + | 10.3579i | −1.29812 | + | 0.749469i | −0.980079 | − | 0.198609i | \(-0.936358\pi\) |
−0.318039 | + | 0.948078i | \(0.603024\pi\) | |||||||
\(192\) | 13.8945 | − | 9.02231i | 1.00275 | − | 0.651129i | ||||
\(193\) | 0.441621 | + | 4.20174i | 0.0317885 | + | 0.302448i | 0.998852 | + | 0.0479109i | \(0.0152564\pi\) |
−0.967063 | + | 0.254537i | \(0.918077\pi\) | |||||||
\(194\) | 24.8159 | − | 34.1562i | 1.78168 | − | 2.45227i | ||||
\(195\) | 4.03313 | − | 6.20986i | 0.288819 | − | 0.444698i | ||||
\(196\) | 4.18687 | − | 4.64999i | 0.299062 | − | 0.332142i | ||||
\(197\) | 5.07880 | + | 2.26123i | 0.361849 | + | 0.161106i | 0.579605 | − | 0.814898i | \(-0.303207\pi\) |
−0.217756 | + | 0.976003i | \(0.569874\pi\) | |||||||
\(198\) | 12.1713 | − | 5.41769i | 0.864976 | − | 0.385018i | ||||
\(199\) | 0.854500 | + | 4.02011i | 0.0605739 | + | 0.284978i | 0.998001 | − | 0.0632049i | \(-0.0201322\pi\) |
−0.937427 | + | 0.348183i | \(0.886799\pi\) | |||||||
\(200\) | 13.1820 | + | 29.6074i | 0.932112 | + | 2.09356i | ||||
\(201\) | 19.0696 | − | 19.0679i | 1.34507 | − | 1.34495i | ||||
\(202\) | 1.71234 | − | 5.27004i | 0.120480 | − | 0.370799i | ||||
\(203\) | 14.8255 | − | 6.60075i | 1.04055 | − | 0.463282i | ||||
\(204\) | −17.3416 | − | 4.64752i | −1.21416 | − | 0.325391i | ||||
\(205\) | −11.4844 | − | 2.44108i | −0.802104 | − | 0.170492i | ||||
\(206\) | 12.8682 | − | 28.9025i | 0.896572 | − | 2.01373i | ||||
\(207\) | −20.4725 | − | 2.15362i | −1.42294 | − | 0.149687i | ||||
\(208\) | −14.0798 | − | 1.47985i | −0.976261 | − | 0.102609i | ||||
\(209\) | −3.43761 | − | 2.49757i | −0.237785 | − | 0.172761i | ||||
\(210\) | 11.8675 | − | 30.9118i | 0.818938 | − | 2.13312i | ||||
\(211\) | 0.720321 | − | 1.24763i | 0.0495889 | − | 0.0858906i | −0.840165 | − | 0.542330i | \(-0.817542\pi\) |
0.889754 | + | 0.456440i | \(0.150876\pi\) | |||||||
\(212\) | −14.1785 | − | 24.5578i | −0.973781 | − | 1.68664i | ||||
\(213\) | 0.883982 | + | 5.58288i | 0.0605694 | + | 0.382532i | ||||
\(214\) | −15.0436 | − | 16.7076i | −1.02836 | − | 1.14211i | ||||
\(215\) | −0.267488 | − | 0.823244i | −0.0182425 | − | 0.0561447i | ||||
\(216\) | 38.8435 | − | 6.14680i | 2.64297 | − | 0.418237i | ||||
\(217\) | 11.5799 | + | 6.57225i | 0.786094 | + | 0.446153i | ||||
\(218\) | − | 2.22954i | − | 0.151003i | ||||||
\(219\) | 18.2893 | + | 2.89759i | 1.23588 | + | 0.195801i | ||||
\(220\) | 18.7176 | − | 16.8534i | 1.26194 | − | 1.13626i | ||||
\(221\) | 1.75028 | + | 2.40905i | 0.117737 | + | 0.162050i | ||||
\(222\) | 0.0716828 | + | 1.36897i | 0.00481103 | + | 0.0918796i | ||||
\(223\) | −11.5712 | − | 6.68066i | −0.774868 | − | 0.447370i | 0.0597406 | − | 0.998214i | \(-0.480973\pi\) |
−0.834608 | + | 0.550844i | \(0.814306\pi\) | |||||||
\(224\) | −26.9607 | + | 2.83368i | −1.80139 | + | 0.189333i | ||||
\(225\) | −0.00116361 | + | 12.8464i | −7.75742e−5 | + | 0.856430i | ||||
\(226\) | 2.53358 | − | 24.1054i | 0.168531 | − | 1.60347i | ||||
\(227\) | −13.2826 | − | 11.9597i | −0.881600 | − | 0.793796i | 0.0979095 | − | 0.995195i | \(-0.468784\pi\) |
−0.979509 | + | 0.201399i | \(0.935451\pi\) | |||||||
\(228\) | −13.3659 | − | 16.5070i | −0.885175 | − | 1.09320i | ||||
\(229\) | −4.60076 | + | 21.6449i | −0.304027 | + | 1.43033i | 0.515302 | + | 0.857008i | \(0.327680\pi\) |
−0.819329 | + | 0.573324i | \(0.805654\pi\) | |||||||
\(230\) | −53.6542 | + | 11.4046i | −3.53786 | + | 0.751995i | ||||
\(231\) | −7.00091 | − | 0.367220i | −0.460626 | − | 0.0241613i | ||||
\(232\) | 48.8467 | + | 15.8712i | 3.20694 | + | 1.04200i | ||||
\(233\) | 12.4067 | + | 4.03118i | 0.812790 | + | 0.264092i | 0.685779 | − | 0.727810i | \(-0.259462\pi\) |
0.127011 | + | 0.991901i | \(0.459462\pi\) | |||||||
\(234\) | −9.56498 | − | 5.52350i | −0.625282 | − | 0.361082i | ||||
\(235\) | −24.5778 | + | 5.22417i | −1.60328 | + | 0.340787i | ||||
\(236\) | −3.37475 | + | 15.8770i | −0.219678 | + | 1.03350i | ||||
\(237\) | −14.4303 | + | 11.6843i | −0.937349 | + | 0.758980i | ||||
\(238\) | 9.89553 | + | 8.90997i | 0.641432 | + | 0.577548i | ||||
\(239\) | 1.47169 | − | 14.0022i | 0.0951956 | − | 0.905725i | −0.837834 | − | 0.545925i | \(-0.816178\pi\) |
0.933029 | − | 0.359800i | \(-0.117155\pi\) | |||||||
\(240\) | 47.4395 | − | 24.1689i | 3.06221 | − | 1.56010i | ||||
\(241\) | −0.558427 | + | 0.0586930i | −0.0359714 | + | 0.00378075i | −0.122497 | − | 0.992469i | \(-0.539090\pi\) |
0.0865256 | + | 0.996250i | \(0.472424\pi\) | |||||||
\(242\) | 18.4861 | + | 10.6730i | 1.18833 | + | 0.686085i | ||||
\(243\) | 15.0564 | + | 4.03800i | 0.965867 | + | 0.259038i | ||||
\(244\) | 15.5518 | + | 21.4052i | 0.995599 | + | 1.37033i | ||||
\(245\) | 2.90039 | − | 2.61152i | 0.185299 | − | 0.166844i | ||||
\(246\) | −2.74052 | + | 17.2979i | −0.174729 | + | 1.10287i | ||||
\(247\) | 3.52279i | 0.224150i | ||||||||
\(248\) | 13.3170 | + | 39.9798i | 0.845633 | + | 2.53872i | ||||
\(249\) | 11.7882 | + | 6.00706i | 0.747047 | + | 0.380682i | ||||
\(250\) | −1.77328 | − | 5.45759i | −0.112152 | − | 0.345168i | ||||
\(251\) | 0.369089 | + | 0.409914i | 0.0232967 | + | 0.0258736i | 0.754681 | − | 0.656092i | \(-0.227792\pi\) |
−0.731384 | + | 0.681966i | \(0.761125\pi\) | |||||||
\(252\) | −33.3269 | − | 10.8319i | −2.09939 | − | 0.682345i | ||||
\(253\) | 5.80685 | + | 10.0578i | 0.365073 | + | 0.632326i | ||||
\(254\) | 21.1656 | − | 36.6599i | 1.32805 | − | 2.30025i | ||||
\(255\) | −10.4544 | − | 4.01361i | −0.654680 | − | 0.251342i | ||||
\(256\) | 10.3292 | + | 7.50463i | 0.645578 | + | 0.469040i | ||||
\(257\) | −10.5792 | − | 1.11192i | −0.659912 | − | 0.0693595i | −0.231348 | − | 0.972871i | \(-0.574314\pi\) |
−0.428564 | + | 0.903512i | \(0.640980\pi\) | |||||||
\(258\) | −1.20546 | + | 0.462671i | −0.0750489 | + | 0.0288047i | ||||
\(259\) | 0.293404 | − | 0.658995i | 0.0182312 | − | 0.0409480i | ||||
\(260\) | −20.4253 | − | 4.34152i | −1.26672 | − | 0.269250i | ||||
\(261\) | 15.1280 | + | 13.6238i | 0.936397 | + | 0.843289i | ||||
\(262\) | −16.9516 | + | 7.54736i | −1.04728 | + | 0.466277i | ||||
\(263\) | −5.02825 | + | 15.4754i | −0.310055 | + | 0.954252i | 0.667687 | + | 0.744442i | \(0.267284\pi\) |
−0.977742 | + | 0.209810i | \(0.932716\pi\) | |||||||
\(264\) | −15.6879 | − | 15.6893i | −0.965524 | − | 0.965612i | ||||
\(265\) | −7.19410 | − | 16.1582i | −0.441930 | − | 0.992591i | ||||
\(266\) | 3.27523 | + | 15.4088i | 0.200817 | + | 0.944772i | ||||
\(267\) | 4.41404 | + | 3.57475i | 0.270135 | + | 0.218771i | ||||
\(268\) | −69.4749 | − | 30.9322i | −4.24386 | − | 1.88949i | ||||
\(269\) | 10.4115 | − | 11.5631i | 0.634801 | − | 0.705018i | −0.336818 | − | 0.941570i | \(-0.609351\pi\) |
0.971619 | + | 0.236552i | \(0.0760174\pi\) | |||||||
\(270\) | 41.4811 | − | 2.16828i | 2.52446 | − | 0.131957i | ||||
\(271\) | −14.4269 | + | 19.8570i | −0.876374 | + | 1.20623i | 0.101038 | + | 0.994883i | \(0.467784\pi\) |
−0.977412 | + | 0.211343i | \(0.932216\pi\) | |||||||
\(272\) | 2.23805 | + | 21.2936i | 0.135702 | + | 1.29111i | ||||
\(273\) | 3.16531 | + | 4.87464i | 0.191573 | + | 0.295026i | ||||
\(274\) | −7.37718 | + | 4.25922i | −0.445672 | + | 0.257309i | ||||
\(275\) | 5.86342 | − | 4.26002i | 0.353578 | − | 0.256889i | ||||
\(276\) | 15.0225 | + | 56.0750i | 0.904250 | + | 3.37532i | ||||
\(277\) | 25.9481 | − | 8.43104i | 1.55907 | − | 0.506572i | 0.602509 | − | 0.798112i | \(-0.294168\pi\) |
0.956559 | + | 0.291540i | \(0.0941676\pi\) | |||||||
\(278\) | −27.1637 | −1.62917 | ||||||||
\(279\) | −1.62490 | + | 16.6241i | −0.0972805 | + | 0.995257i | ||||
\(280\) | −55.1431 | −3.29543 | ||||||||
\(281\) | 26.5204 | − | 8.61701i | 1.58208 | − | 0.514048i | 0.619485 | − | 0.785008i | \(-0.287341\pi\) |
0.962590 | + | 0.270961i | \(0.0873413\pi\) | |||||||
\(282\) | 9.69916 | + | 36.2043i | 0.577577 | + | 2.15594i | ||||
\(283\) | −14.3049 | + | 10.3931i | −0.850337 | + | 0.617806i | −0.925239 | − | 0.379385i | \(-0.876136\pi\) |
0.0749022 | + | 0.997191i | \(0.476136\pi\) | |||||||
\(284\) | 13.8047 | − | 7.97012i | 0.819156 | − | 0.472940i | ||||
\(285\) | −7.21492 | − | 11.1111i | −0.427375 | − | 0.658165i | ||||
\(286\) | 0.651360 | + | 6.19727i | 0.0385157 | + | 0.366453i | ||||
\(287\) | 5.41697 | − | 7.45582i | 0.319754 | − | 0.440103i | ||||
\(288\) | −17.0012 | − | 29.4532i | −1.00181 | − | 1.73555i | ||||
\(289\) | −8.36186 | + | 9.28678i | −0.491874 | + | 0.546281i | ||||
\(290\) | 49.5578 | + | 22.0645i | 2.91013 | + | 1.29567i | ||||
\(291\) | −21.6582 | − | 17.5401i | −1.26963 | − | 1.02822i | ||||
\(292\) | −10.8572 | − | 51.0793i | −0.635372 | − | 2.98919i | ||||
\(293\) | −0.250414 | − | 0.562440i | −0.0146294 | − | 0.0328581i | 0.906083 | − | 0.423100i | \(-0.139058\pi\) |
−0.920712 | + | 0.390242i | \(0.872391\pi\) | |||||||
\(294\) | −4.11643 | − | 4.11680i | −0.240075 | − | 0.240097i | ||||
\(295\) | −3.12859 | + | 9.62882i | −0.182154 | + | 0.560612i | ||||
\(296\) | 2.08560 | − | 0.928569i | 0.121223 | − | 0.0539720i | ||||
\(297\) | −3.15057 | − | 8.21084i | −0.182814 | − | 0.476441i | ||||
\(298\) | 41.1339 | + | 8.74329i | 2.38282 | + | 0.506485i | ||||
\(299\) | 3.91625 | − | 8.79605i | 0.226483 | − | 0.508689i | ||||
\(300\) | 33.8222 | − | 12.9814i | 1.95273 | − | 0.749481i | ||||
\(301\) | 0.675727 | + | 0.0710217i | 0.0389482 | + | 0.00409363i | ||||
\(302\) | 2.36066 | + | 1.71512i | 0.135841 | + | 0.0986943i | ||||
\(303\) | −3.41489 | − | 1.31103i | −0.196180 | − | 0.0753167i | ||||
\(304\) | −12.6649 | + | 21.9363i | −0.726383 | + | 1.25813i | ||||
\(305\) | 8.25153 | + | 14.2921i | 0.472481 | + | 0.818362i | ||||
\(306\) | −5.16335 | + | 15.8862i | −0.295169 | + | 0.908156i | ||||
\(307\) | −5.52611 | − | 6.13736i | −0.315392 | − | 0.350278i | 0.564517 | − | 0.825422i | \(-0.309063\pi\) |
−0.879908 | + | 0.475144i | \(0.842396\pi\) | |||||||
\(308\) | 6.10933 | + | 18.8026i | 0.348111 | + | 1.07138i | ||||
\(309\) | −18.6080 | − | 9.48233i | −1.05857 | − | 0.539431i | ||||
\(310\) | 9.57466 | + | 43.4663i | 0.543804 | + | 2.46872i | ||||
\(311\) | 23.0884i | 1.30922i | 0.755965 | + | 0.654612i | \(0.227168\pi\) | ||||
−0.755965 | + | 0.654612i | \(0.772832\pi\) | |||||||
\(312\) | −2.87835 | + | 18.1679i | −0.162954 | + | 1.02855i | ||||
\(313\) | 18.6305 | − | 16.7750i | 1.05306 | − | 0.948178i | 0.0543268 | − | 0.998523i | \(-0.482699\pi\) |
0.998732 | + | 0.0503449i | \(0.0160321\pi\) | |||||||
\(314\) | 14.8871 | + | 20.4903i | 0.840127 | + | 1.15633i | ||||
\(315\) | −19.9672 | − | 8.89214i | −1.12502 | − | 0.501015i | ||||
\(316\) | 45.3469 | + | 26.1810i | 2.55096 | + | 1.47280i | ||||
\(317\) | 16.2154 | − | 1.70431i | 0.910750 | − | 0.0957237i | 0.362448 | − | 0.932004i | \(-0.381941\pi\) |
0.548302 | + | 0.836280i | \(0.315274\pi\) | |||||||
\(318\) | −23.5086 | + | 11.9769i | −1.31830 | + | 0.671630i | ||||
\(319\) | 1.20057 | − | 11.4226i | 0.0672189 | − | 0.639545i | ||||
\(320\) | −21.6559 | − | 19.4991i | −1.21060 | − | 1.09003i | ||||
\(321\) | −11.5341 | + | 9.33926i | −0.643771 | + | 0.521267i | ||||
\(322\) | 8.95186 | − | 42.1152i | 0.498868 | − | 2.34699i | ||||
\(323\) | 5.21126 | − | 1.10769i | 0.289962 | − | 0.0616333i | ||||
\(324\) | −4.58721 | − | 43.7206i | −0.254845 | − | 2.42892i | ||||
\(325\) | −5.71461 | − | 1.85679i | −0.316990 | − | 0.102996i | ||||
\(326\) | −17.3042 | − | 5.62247i | −0.958389 | − | 0.311400i | ||||
\(327\) | −1.46974 | − | 0.0770928i | −0.0812771 | − | 0.00426324i | ||||
\(328\) | 28.5293 | − | 6.06409i | 1.57527 | − | 0.334833i | ||||
\(329\) | 4.10065 | − | 19.2920i | 0.226076 | − | 1.06360i | ||||
\(330\) | −14.7469 | − | 18.2126i | −0.811789 | − | 1.00257i | ||||
\(331\) | 26.1967 | + | 23.5876i | 1.43990 | + | 1.29649i | 0.885822 | + | 0.464024i | \(0.153595\pi\) |
0.554076 | + | 0.832466i | \(0.313072\pi\) | |||||||
\(332\) | 3.90006 | − | 37.1066i | 0.214044 | − | 2.03649i | ||||
\(333\) | 0.904928 | 8.19671e-5i | 0.0495898 | 4.49177e-6i | ||||||
\(334\) | −4.44210 | + | 0.466884i | −0.243061 | + | 0.0255467i | ||||
\(335\) | −41.0802 | − | 23.7177i | −2.24445 | − | 1.29583i | ||||
\(336\) | 2.18529 | + | 41.7340i | 0.119217 | + | 2.27677i | ||||
\(337\) | −4.87074 | − | 6.70400i | −0.265326 | − | 0.365190i | 0.655479 | − | 0.755214i | \(-0.272467\pi\) |
−0.920805 | + | 0.390024i | \(0.872467\pi\) | |||||||
\(338\) | −21.5093 | + | 19.3671i | −1.16995 | + | 1.05343i | ||||
\(339\) | −15.8030 | − | 2.50369i | −0.858304 | − | 0.135982i | ||||
\(340\) | 31.5802i | 1.71268i | ||||||||
\(341\) | 8.12602 | − | 4.77182i | 0.440049 | − | 0.258408i | ||||
\(342\) | −15.9886 | + | 11.6142i | −0.864567 | + | 0.628025i | ||||
\(343\) | 6.11964 | + | 18.8343i | 0.330429 | + | 1.01696i | ||||
\(344\) | 1.43885 | + | 1.59801i | 0.0775777 | + | 0.0861588i | ||||
\(345\) | 5.66281 | + | 35.7641i | 0.304876 | + | 1.92547i | ||||
\(346\) | −25.3002 | − | 43.8213i | −1.36015 | − | 2.35585i | ||||
\(347\) | 5.72852 | − | 9.92209i | 0.307523 | − | 0.532646i | −0.670297 | − | 0.742093i | \(-0.733833\pi\) |
0.977820 | + | 0.209447i | \(0.0671665\pi\) | |||||||
\(348\) | 20.5770 | − | 53.5977i | 1.10304 | − | 2.87314i | ||||
\(349\) | −5.80544 | − | 4.21790i | −0.310758 | − | 0.225779i | 0.421464 | − | 0.906845i | \(-0.361517\pi\) |
−0.732222 | + | 0.681066i | \(0.761517\pi\) | |||||||
\(350\) | −26.7222 | − | 2.80861i | −1.42836 | − | 0.150127i | ||||
\(351\) | −3.97192 | + | 6.11439i | −0.212005 | + | 0.326362i | ||||
\(352\) | −7.80373 | + | 17.5275i | −0.415940 | + | 0.934217i | ||||
\(353\) | 13.3990 | + | 2.84804i | 0.713156 | + | 0.151586i | 0.550183 | − | 0.835044i | \(-0.314558\pi\) |
0.162974 | + | 0.986630i | \(0.447891\pi\) | |||||||
\(354\) | 14.5874 | + | 3.90939i | 0.775312 | + | 0.207782i | ||||
\(355\) | 9.08299 | − | 4.04401i | 0.482075 | − | 0.214634i | ||||
\(356\) | 4.94984 | − | 15.2341i | 0.262341 | − | 0.807403i | ||||
\(357\) | 6.21576 | − | 6.21520i | 0.328973 | − | 0.328943i | ||||
\(358\) | −17.0592 | − | 38.3156i | −0.901608 | − | 2.02504i | ||||
\(359\) | −2.38048 | − | 11.1993i | −0.125637 | − | 0.591075i | −0.995251 | − | 0.0973429i | \(-0.968966\pi\) |
0.869614 | − | 0.493732i | \(-0.164368\pi\) | |||||||
\(360\) | −28.1305 | − | 63.1977i | −1.48261 | − | 3.33081i | ||||
\(361\) | −11.5994 | − | 5.16440i | −0.610497 | − | 0.271811i | ||||
\(362\) | −36.0686 | + | 40.0583i | −1.89573 | + | 2.10542i | ||||
\(363\) | 7.67501 | − | 11.8173i | 0.402834 | − | 0.620248i | ||||
\(364\) | 9.63423 | − | 13.2604i | 0.504971 | − | 0.695032i | ||||
\(365\) | −3.40470 | − | 32.3936i | −0.178210 | − | 1.69556i | ||||
\(366\) | 20.6463 | − | 13.4065i | 1.07920 | − | 0.700770i | ||||
\(367\) | 5.37613 | − | 3.10391i | 0.280632 | − | 0.162023i | −0.353078 | − | 0.935594i | \(-0.614865\pi\) |
0.633709 | + | 0.773571i | \(0.281531\pi\) | |||||||
\(368\) | 56.0094 | − | 40.6932i | 2.91969 | − | 2.12128i | ||||
\(369\) | 11.3083 | + | 2.40472i | 0.588685 | + | 0.125185i | ||||
\(370\) | 2.29330 | − | 0.745137i | 0.119223 | − | 0.0387378i | ||||
\(371\) | 13.8835 | 0.720793 | ||||||||
\(372\) | 45.4088 | − | 12.5247i | 2.35434 | − | 0.649377i | ||||
\(373\) | 22.2184 | 1.15043 | 0.575214 | − | 0.818003i | \(-0.304919\pi\) | ||||
0.575214 | + | 0.818003i | \(0.304919\pi\) | |||||||
\(374\) | 8.96281 | − | 2.91219i | 0.463456 | − | 0.150586i | ||||
\(375\) | −3.65905 | + | 0.980261i | −0.188952 | + | 0.0506205i | ||||
\(376\) | 50.4986 | − | 36.6894i | 2.60427 | − | 1.89211i | ||||
\(377\) | −8.24651 | + | 4.76112i | −0.424717 | + | 0.245210i | ||||
\(378\) | −11.6885 | + | 30.4373i | −0.601193 | + | 1.56553i | ||||
\(379\) | −0.0737380 | − | 0.701570i | −0.00378766 | − | 0.0360372i | 0.992465 | − | 0.122530i | \(-0.0391007\pi\) |
−0.996252 | + | 0.0864927i | \(0.972434\pi\) | |||||||
\(380\) | −21.9600 | + | 30.2253i | −1.12652 | + | 1.55052i | ||||
\(381\) | −23.4349 | − | 15.2203i | −1.20061 | − | 0.779761i | ||||
\(382\) | 36.3704 | − | 40.3934i | 1.86087 | − | 2.06670i | ||||
\(383\) | −31.7220 | − | 14.1235i | −1.62092 | − | 0.721679i | −0.622764 | − | 0.782410i | \(-0.713990\pi\) |
−0.998154 | + | 0.0607311i | \(0.980657\pi\) | |||||||
\(384\) | −2.64313 | + | 3.26370i | −0.134882 | + | 0.166550i | ||||
\(385\) | 2.56386 | + | 12.0620i | 0.130666 | + | 0.614736i | ||||
\(386\) | −4.50884 | − | 10.1270i | −0.229494 | − | 0.515451i | ||||
\(387\) | 0.263318 | + | 0.810659i | 0.0133852 | + | 0.0412081i | ||||
\(388\) | −24.2873 | + | 74.7485i | −1.23300 | + | 3.79478i | ||||
\(389\) | −34.9426 | + | 15.5574i | −1.77166 | + | 0.788793i | −0.786402 | + | 0.617716i | \(0.788058\pi\) |
−0.985258 | + | 0.171078i | \(0.945275\pi\) | |||||||
\(390\) | −5.02932 | + | 18.7663i | −0.254670 | + | 0.950268i | ||||
\(391\) | −14.2434 | − | 3.02753i | −0.720320 | − | 0.153109i | ||||
\(392\) | −3.94348 | + | 8.85720i | −0.199176 | + | 0.447356i | ||||
\(393\) | 4.38918 | + | 11.4358i | 0.221405 | + | 0.576858i | ||||
\(394\) | −14.5071 | − | 1.52476i | −0.730859 | − | 0.0768163i | ||||
\(395\) | 26.4228 | + | 19.1973i | 1.32947 | + | 0.965919i | ||||
\(396\) | −18.4324 | + | 16.5936i | −0.926264 | + | 0.833860i | ||||
\(397\) | −10.5514 | + | 18.2755i | −0.529558 | + | 0.917222i | 0.469847 | + | 0.882748i | \(0.344309\pi\) |
−0.999406 | + | 0.0344739i | \(0.989024\pi\) | |||||||
\(398\) | −5.39187 | − | 9.33900i | −0.270270 | − | 0.468122i | ||||
\(399\) | 10.2710 | − | 1.62628i | 0.514191 | − | 0.0814159i | ||||
\(400\) | −28.9093 | − | 32.1070i | −1.44546 | − | 1.60535i | ||||
\(401\) | 5.32294 | + | 16.3823i | 0.265815 | + | 0.818095i | 0.991505 | + | 0.130072i | \(0.0415209\pi\) |
−0.725690 | + | 0.688022i | \(0.758479\pi\) | |||||||
\(402\) | −32.1262 | + | 63.0442i | −1.60231 | + | 3.14436i | ||||
\(403\) | −7.16047 | − | 3.12497i | −0.356688 | − | 0.155666i | ||||
\(404\) | 10.3155i | 0.513217i | ||||||||
\(405\) | 0.00496732 | − | 27.4200i | 0.000246828 | − | 1.36251i | ||||
\(406\) | −31.6439 | + | 28.4923i | −1.57046 | + | 1.41405i | ||||
\(407\) | −0.300084 | − | 0.413031i | −0.0148746 | − | 0.0204732i | ||||
\(408\) | 27.7808 | − | 1.45467i | 1.37535 | − | 0.0720167i | ||||
\(409\) | −26.9624 | − | 15.5668i | −1.33321 | − | 0.769727i | −0.347416 | − | 0.937711i | \(-0.612941\pi\) |
−0.985790 | + | 0.167984i | \(0.946274\pi\) | |||||||
\(410\) | 30.6375 | − | 3.22013i | 1.51308 | − | 0.159031i | ||||
\(411\) | 2.55266 | + | 5.01043i | 0.125913 | + | 0.247146i | ||||
\(412\) | −6.15636 | + | 58.5739i | −0.303302 | + | 2.88573i | ||||
\(413\) | −5.90575 | − | 5.31756i | −0.290603 | − | 0.261660i | ||||
\(414\) | 52.8335 | − | 11.2251i | 2.59663 | − | 0.551684i | ||||
\(415\) | 4.83860 | − | 22.7638i | 0.237517 | − | 1.11743i | ||||
\(416\) | 15.5590 | − | 3.30716i | 0.762840 | − | 0.162147i | ||||
\(417\) | −0.939264 | + | 17.9067i | −0.0459960 | + | 0.876895i | ||||
\(418\) | 10.6033 | + | 3.44523i | 0.518626 | + | 0.168512i | ||||
\(419\) | 0.567017 | + | 0.184235i | 0.0277006 | + | 0.00900047i | 0.322835 | − | 0.946455i | \(-0.395364\pi\) |
−0.295134 | + | 0.955456i | \(0.595364\pi\) | |||||||
\(420\) | −3.22879 | + | 61.5556i | −0.157549 | + | 3.00361i | ||||
\(421\) | −17.0640 | + | 3.62706i | −0.831648 | + | 0.176772i | −0.604013 | − | 0.796974i | \(-0.706433\pi\) |
−0.227635 | + | 0.973747i | \(0.573099\pi\) | |||||||
\(422\) | −0.785907 | + | 3.69740i | −0.0382574 | + | 0.179987i | ||||
\(423\) | 24.2018 | − | 5.14197i | 1.17673 | − | 0.250011i | ||||
\(424\) | 32.6528 | + | 29.4007i | 1.58576 | + | 1.42782i | ||||
\(425\) | −0.949875 | + | 9.03746i | −0.0460757 | + | 0.438381i | ||||
\(426\) | −6.73255 | − | 13.2149i | −0.326193 | − | 0.640262i | ||||
\(427\) | −12.8829 | + | 1.35405i | −0.623447 | + | 0.0655269i | ||||
\(428\) | 36.2456 | + | 20.9264i | 1.75200 | + | 1.01152i | ||||
\(429\) | 4.10786 | − | 0.215097i | 0.198330 | − | 0.0103850i | ||||
\(430\) | 1.33499 | + | 1.83745i | 0.0643788 | + | 0.0886098i | ||||
\(431\) | −17.2545 | + | 15.5360i | −0.831120 | + | 0.748344i | −0.970295 | − | 0.241924i | \(-0.922221\pi\) |
0.139175 | + | 0.990268i | \(0.455555\pi\) | |||||||
\(432\) | −46.7151 | + | 23.7945i | −2.24758 | + | 1.14482i | ||||
\(433\) | − | 36.0708i | − | 1.73345i | −0.498786 | − | 0.866725i | \(-0.666221\pi\) | ||
0.498786 | − | 0.866725i | \(-0.333779\pi\) | |||||||
\(434\) | −34.2255 | − | 7.01141i | −1.64287 | − | 0.336558i | ||||
\(435\) | 16.2589 | − | 31.9063i | 0.779555 | − | 1.52979i | ||||
\(436\) | 1.28257 | + | 3.94734i | 0.0614239 | + | 0.189043i | ||||
\(437\) | −11.5270 | − | 12.8021i | −0.551413 | − | 0.612406i | ||||
\(438\) | −47.9888 | + | 7.59845i | −2.29299 | + | 0.363068i | ||||
\(439\) | 1.11486 | + | 1.93099i | 0.0532092 | + | 0.0921610i | 0.891403 | − | 0.453211i | \(-0.149722\pi\) |
−0.838194 | + | 0.545372i | \(0.816388\pi\) | |||||||
\(440\) | −19.5134 | + | 33.7982i | −0.930266 | + | 1.61127i | ||||
\(441\) | −2.85620 | + | 2.57126i | −0.136009 | + | 0.122441i | ||||
\(442\) | −6.32095 | − | 4.59244i | −0.300657 | − | 0.218440i | ||||
\(443\) | −5.47246 | − | 0.575178i | −0.260004 | − | 0.0273275i | −0.0263705 | − | 0.999652i | \(-0.508395\pi\) |
−0.233634 | + | 0.972325i | \(0.575062\pi\) | |||||||
\(444\) | −0.914434 | − | 2.38250i | −0.0433971 | − | 0.113069i | ||||
\(445\) | 4.06374 | − | 9.12731i | 0.192640 | − | 0.432676i | ||||
\(446\) | 34.2918 | + | 7.28894i | 1.62376 | + | 0.345142i | ||||
\(447\) | 7.18604 | − | 26.8138i | 0.339888 | − | 1.26825i | ||||
\(448\) | 20.8962 | − | 9.30360i | 0.987254 | − | 0.439554i | ||||
\(449\) | −7.08541 | + | 21.8066i | −0.334381 | + | 1.02912i | 0.632645 | + | 0.774442i | \(0.281969\pi\) |
−0.967026 | + | 0.254677i | \(0.918031\pi\) | |||||||
\(450\) | −10.4131 | − | 32.0582i | −0.490879 | − | 1.51124i | ||||
\(451\) | −2.65292 | − | 5.95855i | −0.124921 | − | 0.280577i | ||||
\(452\) | 9.38130 | + | 44.1355i | 0.441259 | + | 2.07596i | ||||
\(453\) | 1.21226 | − | 1.49688i | 0.0569571 | − | 0.0703297i | ||||
\(454\) | 42.8428 | + | 19.0748i | 2.01071 | + | 0.895226i | ||||
\(455\) | 6.84089 | − | 7.59758i | 0.320706 | − | 0.356180i | ||||
\(456\) | 27.6004 | + | 17.9257i | 1.29251 | + | 0.839446i | ||||
\(457\) | −3.76400 | + | 5.18071i | −0.176073 | + | 0.242343i | −0.887928 | − | 0.459983i | \(-0.847855\pi\) |
0.711855 | + | 0.702327i | \(0.247855\pi\) | |||||||
\(458\) | −6.06906 | − | 57.7432i | −0.283588 | − | 2.69816i | ||||
\(459\) | 10.2939 | + | 3.95307i | 0.480479 | + | 0.184514i | ||||
\(460\) | 88.4330 | − | 51.0568i | 4.12321 | − | 2.38054i | ||||
\(461\) | 25.4165 | − | 18.4662i | 1.18377 | − | 0.860056i | 0.191174 | − | 0.981556i | \(-0.438771\pi\) |
0.992591 | + | 0.121500i | \(0.0387705\pi\) | |||||||
\(462\) | 17.7679 | − | 4.76004i | 0.826638 | − | 0.221457i | ||||
\(463\) | 5.46777 | − | 1.77659i | 0.254109 | − | 0.0825650i | −0.179193 | − | 0.983814i | \(-0.557349\pi\) |
0.433302 | + | 0.901249i | \(0.357349\pi\) | |||||||
\(464\) | −68.4677 | −3.17853 | ||||||||
\(465\) | 28.9847 | − | 4.80879i | 1.34414 | − | 0.223002i | ||||
\(466\) | −34.2284 | −1.58560 | ||||||||
\(467\) | −14.3766 | + | 4.67124i | −0.665270 | + | 0.216159i | −0.622135 | − | 0.782910i | \(-0.713734\pi\) |
−0.0431347 | + | 0.999069i | \(0.513734\pi\) | |||||||
\(468\) | 20.1121 | + | 4.27685i | 0.929680 | + | 0.197698i | ||||
\(469\) | 30.1227 | − | 21.8854i | 1.39094 | − | 1.01058i | ||||
\(470\) | 57.0960 | − | 32.9644i | 2.63364 | − | 1.52053i | ||||
\(471\) | 14.0223 | − | 9.10529i | 0.646113 | − | 0.419549i | ||||
\(472\) | −2.62896 | − | 25.0129i | −0.121008 | − | 1.15131i | ||||
\(473\) | 0.282649 | − | 0.389033i | 0.0129962 | − | 0.0178878i | ||||
\(474\) | 26.5358 | − | 40.8575i | 1.21883 | − | 1.87665i | ||||
\(475\) | −7.19351 | + | 7.98920i | −0.330061 | + | 0.366570i | ||||
\(476\) | −22.6454 | − | 10.0824i | −1.03795 | − | 0.462125i | ||||
\(477\) | 7.08247 | + | 15.9114i | 0.324284 | + | 0.728532i | ||||
\(478\) | 7.68062 | + | 36.1345i | 0.351304 | + | 1.65275i | ||||
\(479\) | −0.470256 | − | 1.05621i | −0.0214865 | − | 0.0482595i | 0.902483 | − | 0.430725i | \(-0.141742\pi\) |
−0.923970 | + | 0.382465i | \(0.875075\pi\) | |||||||
\(480\) | −42.3007 | + | 42.2968i | −1.93075 | + | 1.93058i | ||||
\(481\) | −0.130796 | + | 0.402548i | −0.00596378 | + | 0.0183546i | ||||
\(482\) | 1.34592 | − | 0.599241i | 0.0613049 | − | 0.0272947i | ||||
\(483\) | −27.4535 | − | 7.35747i | −1.24918 | − | 0.334776i | ||||
\(484\) | −38.8691 | − | 8.26188i | −1.76678 | − | 0.375540i | ||||
\(485\) | −19.9395 | + | 44.7848i | −0.905404 | + | 2.03357i | ||||
\(486\) | −40.8460 | + | 2.13137i | −1.85281 | + | 0.0966810i | ||||
\(487\) | 0.408834 | + | 0.0429702i | 0.0185261 | + | 0.00194717i | 0.113787 | − | 0.993505i | \(-0.463702\pi\) |
−0.0952609 | + | 0.995452i | \(0.530369\pi\) | |||||||
\(488\) | −33.1670 | − | 24.0972i | −1.50140 | − | 1.09083i | ||||
\(489\) | −4.30476 | + | 11.2128i | −0.194668 | + | 0.507059i | ||||
\(490\) | −5.12022 | + | 8.86849i | −0.231308 | + | 0.400637i | ||||
\(491\) | −3.74245 | − | 6.48212i | −0.168895 | − | 0.292534i | 0.769137 | − | 0.639084i | \(-0.220686\pi\) |
−0.938031 | + | 0.346550i | \(0.887353\pi\) | |||||||
\(492\) | −5.09880 | − | 32.2020i | −0.229872 | − | 1.45178i | ||||
\(493\) | 9.63611 | + | 10.7020i | 0.433989 | + | 0.481993i | ||||
\(494\) | −2.85631 | − | 8.79081i | −0.128511 | − | 0.395517i | ||||
\(495\) | −12.5159 | + | 9.09163i | −0.562549 | + | 0.408638i | ||||
\(496\) | −33.3533 | − | 45.2020i | −1.49761 | − | 2.02963i | ||||
\(497\) | 7.80429i | 0.350070i | ||||||||
\(498\) | −34.2871 | − | 5.43213i | −1.53644 | − | 0.243419i | ||||
\(499\) | 1.50036 | − | 1.35093i | 0.0671654 | − | 0.0604760i | −0.634864 | − | 0.772624i | \(-0.718944\pi\) |
0.702030 | + | 0.712148i | \(0.252277\pi\) | |||||||
\(500\) | 6.27910 | + | 8.64244i | 0.280810 | + | 0.386502i | ||||
\(501\) | 0.154178 | + | 2.94445i | 0.00688817 | + | 0.131548i | ||||
\(502\) | −1.25339 | − | 0.723646i | −0.0559416 | − | 0.0322979i | ||||
\(503\) | 1.23058 | − | 0.129339i | 0.0548687 | − | 0.00576694i | −0.0770543 | − | 0.997027i | \(-0.524551\pi\) |
0.131923 | + | 0.991260i | \(0.457885\pi\) | |||||||
\(504\) | 54.2985 | + | 0.00491828i | 2.41865 | + | 0.000219078i | ||||
\(505\) | −0.672559 | + | 6.39897i | −0.0299285 | + | 0.284750i | ||||
\(506\) | −22.6454 | − | 20.3900i | −1.00671 | − | 0.906447i | ||||
\(507\) | 12.0233 | + | 14.8489i | 0.533975 | + | 0.659465i | ||||
\(508\) | −16.3841 | + | 77.0813i | −0.726929 | + | 3.41993i | ||||
\(509\) | −6.46722 | + | 1.37465i | −0.286655 | + | 0.0609303i | −0.348995 | − | 0.937125i | \(-0.613477\pi\) |
0.0623403 | + | 0.998055i | \(0.480144\pi\) | |||||||
\(510\) | 29.3423 | + | 1.53910i | 1.29930 | + | 0.0681525i | ||||
\(511\) | 24.3156 | + | 7.90062i | 1.07566 | + | 0.349503i | ||||
\(512\) | −36.4727 | − | 11.8507i | −1.61188 | − | 0.523731i | ||||
\(513\) | 7.10342 | + | 10.9416i | 0.313624 | + | 0.483082i | ||||
\(514\) | 27.3010 | − | 5.80301i | 1.20420 | − | 0.255960i | ||||
\(515\) | −7.63787 | + | 35.9333i | −0.336565 | + | 1.58341i | ||||
\(516\) | 1.86809 | − | 1.51261i | 0.0822380 | − | 0.0665889i | ||||
\(517\) | −10.3734 | − | 9.34021i | −0.456220 | − | 0.410782i | ||||
\(518\) | −0.197844 | + | 1.88236i | −0.00869277 | + | 0.0827062i | ||||
\(519\) | −29.7625 | + | 15.1631i | −1.30643 | + | 0.665585i | ||||
\(520\) | 32.1784 | − | 3.38209i | 1.41112 | − | 0.148314i | ||||
\(521\) | 5.15846 | + | 2.97824i | 0.225996 | + | 0.130479i | 0.608724 | − | 0.793382i | \(-0.291682\pi\) |
−0.382727 | + | 0.923861i | \(0.625015\pi\) | |||||||
\(522\) | −48.7968 | − | 21.7310i | −2.13578 | − | 0.951141i | ||||
\(523\) | −14.7771 | − | 20.3389i | −0.646157 | − | 0.889359i | 0.352768 | − | 0.935711i | \(-0.385241\pi\) |
−0.998925 | + | 0.0463515i | \(0.985241\pi\) | |||||||
\(524\) | 25.6708 | − | 23.1141i | 1.12143 | − | 1.00974i | ||||
\(525\) | −2.77548 | + | 17.5186i | −0.121132 | + | 0.764572i | ||||
\(526\) | − | 42.6944i | − | 1.86156i | ||||||
\(527\) | −2.37126 | + | 11.5751i | −0.103294 | + | 0.504218i | ||||
\(528\) | 26.3529 | + | 13.4290i | 1.14686 | + | 0.584420i | ||||
\(529\) | 7.44252 | + | 22.9057i | 0.323588 | + | 0.995901i | ||||
\(530\) | 31.0535 | + | 34.4884i | 1.34888 | + | 1.49808i | ||||
\(531\) | 3.08153 | − | 9.48107i | 0.133727 | − | 0.411443i | ||||
\(532\) | −14.6628 | − | 25.3968i | −0.635714 | − | 1.10109i | ||||
\(533\) | −2.70375 | + | 4.68304i | −0.117113 | + | 0.202845i | ||||
\(534\) | −13.9133 | − | 5.34153i | −0.602087 | − | 0.231151i | ||||
\(535\) | 21.1196 | + | 15.3443i | 0.913081 | + | 0.663393i | ||||
\(536\) | 117.192 | + | 12.3174i | 5.06194 | + | 0.532031i | ||||
\(537\) | −25.8482 | + | 9.92083i | −1.11543 | + | 0.428116i | ||||
\(538\) | −16.6055 | + | 37.2966i | −0.715915 | + | 1.60797i | ||||
\(539\) | 2.12077 | + | 0.450784i | 0.0913482 | + | 0.0194167i | ||||
\(540\) | −72.1940 | + | 27.7014i | −3.10674 | + | 1.19208i | ||||
\(541\) | 13.9546 | − | 6.21301i | 0.599957 | − | 0.267118i | −0.0842045 | − | 0.996448i | \(-0.526835\pi\) |
0.684162 | + | 0.729330i | \(0.260168\pi\) | |||||||
\(542\) | 19.9010 | − | 61.2489i | 0.854820 | − | 2.63087i | ||||
\(543\) | 25.1599 | + | 25.1621i | 1.07971 | + | 1.07981i | ||||
\(544\) | −9.78455 | − | 21.9765i | −0.419509 | − | 0.942233i | ||||
\(545\) | 0.538246 | + | 2.53225i | 0.0230559 | + | 0.108470i | ||||
\(546\) | −11.8512 | − | 9.59778i | −0.507183 | − | 0.410747i | ||||
\(547\) | 27.7063 | + | 12.3356i | 1.18464 | + | 0.527434i | 0.901976 | − | 0.431786i | \(-0.142116\pi\) |
0.282660 | + | 0.959220i | \(0.408783\pi\) | |||||||
\(548\) | 10.6110 | − | 11.7847i | 0.453278 | − | 0.503416i | ||||
\(549\) | −8.12388 | − | 14.0739i | −0.346719 | − | 0.600660i | ||||
\(550\) | −11.1776 | + | 15.3846i | −0.476614 | + | 0.656003i | ||||
\(551\) | 1.78083 | + | 16.9435i | 0.0758661 | + | 0.721817i | ||||
\(552\) | −48.9876 | − | 75.4417i | −2.08505 | − | 3.21101i | ||||
\(553\) | −22.2017 | + | 12.8181i | −0.944112 | + | 0.545083i | ||||
\(554\) | −57.9152 | + | 42.0779i | −2.46058 | + | 1.78772i | ||||
\(555\) | −0.411908 | − | 1.53754i | −0.0174845 | − | 0.0652650i | ||||
\(556\) | 48.0926 | − | 15.6262i | 2.03958 | − | 0.662701i | ||||
\(557\) | 34.9388 | 1.48040 | 0.740202 | − | 0.672385i | \(-0.234730\pi\) | ||||
0.740202 | + | 0.672385i | \(0.234730\pi\) | |||||||
\(558\) | −9.42414 | − | 42.8014i | −0.398956 | − | 1.81193i | ||||
\(559\) | −0.398672 | −0.0168620 | ||||||||
\(560\) | 69.9124 | − | 22.7159i | 2.95434 | − | 0.959923i | ||||
\(561\) | −1.60985 | − | 6.00913i | −0.0679679 | − | 0.253706i | ||||
\(562\) | −59.1927 | + | 43.0060i | −2.49689 | + | 1.81410i | ||||
\(563\) | 8.46236 | − | 4.88575i | 0.356646 | − | 0.205910i | −0.310963 | − | 0.950422i | \(-0.600651\pi\) |
0.667608 | + | 0.744513i | \(0.267318\pi\) | |||||||
\(564\) | −37.9992 | − | 58.5194i | −1.60005 | − | 2.46411i | ||||
\(565\) | 2.94186 | + | 27.9899i | 0.123765 | + | 1.17755i | ||||
\(566\) | 27.2698 | − | 37.5336i | 1.14623 | − | 1.57766i | ||||
\(567\) | 19.6606 | + | 8.75773i | 0.825667 | + | 0.367790i | ||||
\(568\) | −16.5270 | + | 18.3551i | −0.693456 | + | 0.770161i | ||||
\(569\) | 9.39051 | + | 4.18092i | 0.393670 | + | 0.175273i | 0.594018 | − | 0.804451i | \(-0.297541\pi\) |
−0.200348 | + | 0.979725i | \(0.564207\pi\) | |||||||
\(570\) | 27.0132 | + | 21.8769i | 1.13146 | + | 0.916322i | ||||
\(571\) | −5.55729 | − | 26.1450i | −0.232565 | − | 1.09413i | −0.927141 | − | 0.374714i | \(-0.877741\pi\) |
0.694575 | − | 0.719420i | \(-0.255592\pi\) | |||||||
\(572\) | −4.71828 | − | 10.5974i | −0.197281 | − | 0.443101i | ||||
\(573\) | −25.3703 | − | 25.3726i | −1.05986 | − | 1.05996i | ||||
\(574\) | −7.47234 | + | 22.9975i | −0.311889 | + | 0.959897i | ||||
\(575\) | 26.8430 | − | 11.9513i | 1.11943 | − | 0.498403i | ||||
\(576\) | 21.3225 | + | 19.2024i | 0.888437 | + | 0.800098i | ||||
\(577\) | 6.31326 | + | 1.34193i | 0.262825 | + | 0.0558651i | 0.337439 | − | 0.941347i | \(-0.390439\pi\) |
−0.0746146 | + | 0.997212i | \(0.523773\pi\) | |||||||
\(578\) | 13.3365 | − | 29.9543i | 0.554725 | − | 1.24593i | ||||
\(579\) | −6.83179 | + | 2.62212i | −0.283920 | + | 0.108972i | ||||
\(580\) | −100.434 | − | 10.5560i | −4.17029 | − | 0.438315i | ||||
\(581\) | 14.7786 | + | 10.7373i | 0.613119 | + | 0.445457i | ||||
\(582\) | 68.2680 | + | 26.2092i | 2.82980 | + | 1.08640i | ||||
\(583\) | 4.91293 | − | 8.50944i | 0.203473 | − | 0.352425i | ||||
\(584\) | 40.4574 | + | 70.0742i | 1.67414 | + | 2.89969i | ||||
\(585\) | 12.1971 | + | 3.96431i | 0.504289 | + | 0.163904i | ||||
\(586\) | 1.08092 | + | 1.20048i | 0.0446523 | + | 0.0495914i | ||||
\(587\) | −11.0216 | − | 33.9209i | −0.454908 | − | 1.40006i | −0.871243 | − | 0.490853i | \(-0.836685\pi\) |
0.416334 | − | 0.909212i | \(-0.363315\pi\) | |||||||
\(588\) | 9.65629 | + | 4.92068i | 0.398219 | + | 0.202925i | ||||
\(589\) | −10.3185 | + | 9.42955i | −0.425166 | + | 0.388538i | ||||
\(590\) | − | 26.5646i | − | 1.09365i | ||||||
\(591\) | −1.50677 | + | 9.51061i | −0.0619804 | + | 0.391214i | ||||
\(592\) | −2.26168 | + | 2.03643i | −0.0929545 | + | 0.0836966i | ||||
\(593\) | −26.5838 | − | 36.5894i | −1.09166 | − | 1.50255i | −0.845993 | − | 0.533193i | \(-0.820992\pi\) |
−0.245671 | − | 0.969353i | \(-0.579008\pi\) | |||||||
\(594\) | 14.5194 | + | 17.9349i | 0.595738 | + | 0.735880i | ||||
\(595\) | −13.3901 | − | 7.73078i | −0.548941 | − | 0.316931i | ||||
\(596\) | −77.8564 | + | 8.18304i | −3.18912 | + | 0.335190i | ||||
\(597\) | −6.34286 | + | 3.23148i | −0.259596 | + | 0.132256i | ||||
\(598\) | −2.64076 | + | 25.1251i | −0.107989 | + | 1.02744i | ||||
\(599\) | 9.29581 | + | 8.36998i | 0.379816 | + | 0.341988i | 0.836821 | − | 0.547476i | \(-0.184411\pi\) |
−0.457005 | + | 0.889464i | \(0.651078\pi\) | |||||||
\(600\) | −43.6263 | + | 35.3246i | −1.78104 | + | 1.44212i | ||||
\(601\) | 3.17163 | − | 14.9214i | 0.129374 | − | 0.608655i | −0.864914 | − | 0.501920i | \(-0.832627\pi\) |
0.994288 | − | 0.106735i | \(-0.0340396\pi\) | |||||||
\(602\) | −1.74380 | + | 0.370657i | −0.0710721 | + | 0.0151068i | ||||
\(603\) | 40.4489 | + | 23.3581i | 1.64721 | + | 0.951214i | ||||
\(604\) | −5.16615 | − | 1.67858i | −0.210208 | − | 0.0683006i | ||||
\(605\) | −23.5727 | − | 7.65924i | −0.958368 | − | 0.311393i | ||||
\(606\) | 9.58455 | + | 0.502740i | 0.389346 | + | 0.0204224i | ||||
\(607\) | 19.7247 | − | 4.19262i | 0.800601 | − | 0.170173i | 0.210597 | − | 0.977573i | \(-0.432459\pi\) |
0.590005 | + | 0.807400i | \(0.299126\pi\) | |||||||
\(608\) | 5.91704 | − | 27.8375i | 0.239968 | − | 1.12896i | ||||
\(609\) | 17.6884 | + | 21.8454i | 0.716769 | + | 0.885218i | ||||
\(610\) | −32.1791 | − | 28.9742i | −1.30290 | − | 1.17313i | ||||
\(611\) | −1.20967 | + | 11.5093i | −0.0489381 | + | 0.465615i | ||||
\(612\) | 0.00281668 | − | 31.0965i | 0.000113858 | − | 1.25700i | ||||
\(613\) | 14.4054 | − | 1.51407i | 0.581828 | − | 0.0611526i | 0.190958 | − | 0.981598i | \(-0.438841\pi\) |
0.390871 | + | 0.920446i | \(0.372174\pi\) | |||||||
\(614\) | 18.7662 | + | 10.8346i | 0.757340 | + | 0.437251i | ||||
\(615\) | −1.06338 | − | 20.3081i | −0.0428796 | − | 0.818901i | ||||
\(616\) | −18.0060 | − | 24.7831i | −0.725482 | − | 0.998540i | ||||
\(617\) | 2.08644 | − | 1.87864i | 0.0839968 | − | 0.0756311i | −0.626063 | − | 0.779773i | \(-0.715335\pi\) |
0.710060 | + | 0.704142i | \(0.248668\pi\) | |||||||
\(618\) | 54.1231 | + | 8.57477i | 2.17715 | + | 0.344928i | ||||
\(619\) | 3.67081i | 0.147542i | 0.997275 | + | 0.0737711i | \(0.0235034\pi\) | ||||
−0.997275 | + | 0.0737711i | \(0.976497\pi\) | |||||||
\(620\) | −41.9563 | − | 71.4482i | −1.68501 | − | 2.86943i | ||||
\(621\) | −5.57289 | − | 35.2168i | −0.223632 | − | 1.41320i | ||||
\(622\) | −18.7203 | − | 57.6151i | −0.750615 | − | 2.31016i | ||||
\(623\) | 5.24757 | + | 5.82802i | 0.210240 | + | 0.233495i | ||||
\(624\) | −3.83488 | − | 24.2196i | −0.153518 | − | 0.969560i | ||||
\(625\) | 14.0370 | + | 24.3127i | 0.561479 | + | 0.972510i | ||||
\(626\) | −32.8895 | + | 56.9663i | −1.31453 | + | 2.27683i | ||||
\(627\) | 2.63779 | − | 6.87075i | 0.105343 | − | 0.274391i | ||||
\(628\) | −38.1446 | − | 27.7137i | −1.52213 | − | 1.10590i | ||||
\(629\) | 0.636616 | + | 0.0669110i | 0.0253835 | + | 0.00266792i | ||||
\(630\) | 57.0363 | + | 5.99998i | 2.27238 | + | 0.239045i | ||||
\(631\) | −3.88573 | + | 8.72749i | −0.154688 | + | 0.347436i | −0.974221 | − | 0.225597i | \(-0.927567\pi\) |
0.819532 | + | 0.573033i | \(0.194233\pi\) | |||||||
\(632\) | −79.3612 | − | 16.8688i | −3.15682 | − | 0.671003i | ||||
\(633\) | 2.41021 | + | 0.645931i | 0.0957973 | + | 0.0256735i | ||||
\(634\) | −39.0824 | + | 17.4006i | −1.55216 | + | 0.691066i | ||||
\(635\) | −15.1891 | + | 46.7471i | −0.602759 | + | 1.85510i | ||||
\(636\) | 34.7316 | − | 34.7284i | 1.37720 | − | 1.37707i | ||||
\(637\) | −0.731122 | − | 1.64213i | −0.0289681 | − | 0.0650635i | ||||
\(638\) | 6.26567 | + | 29.4777i | 0.248060 | + | 1.16703i | ||||
\(639\) | −8.94424 | + | 3.98126i | −0.353829 | + | 0.157496i | ||||
\(640\) | 6.74865 | + | 3.00469i | 0.266764 | + | 0.118771i | ||||
\(641\) | 11.4800 | − | 12.7498i | 0.453432 | − | 0.503587i | −0.472472 | − | 0.881345i | \(-0.656638\pi\) |
0.925904 | + | 0.377759i | \(0.123305\pi\) | |||||||
\(642\) | 21.2100 | − | 32.6573i | 0.837092 | − | 1.28888i | ||||
\(643\) | 9.97655 | − | 13.7315i | 0.393437 | − | 0.541519i | −0.565645 | − | 0.824649i | \(-0.691373\pi\) |
0.959082 | + | 0.283130i | \(0.0913727\pi\) | |||||||
\(644\) | 8.37825 | + | 79.7137i | 0.330149 | + | 3.14116i | ||||
\(645\) | 1.25744 | − | 0.816509i | 0.0495116 | − | 0.0321500i | ||||
\(646\) | −12.1061 | + | 6.98947i | −0.476309 | + | 0.274997i | ||||
\(647\) | −10.0564 | + | 7.30641i | −0.395358 | + | 0.287245i | −0.767648 | − | 0.640872i | \(-0.778573\pi\) |
0.372289 | + | 0.928117i | \(0.378573\pi\) | |||||||
\(648\) | 27.6941 | + | 62.2322i | 1.08793 | + | 2.44471i | ||||
\(649\) | −5.34909 | + | 1.73803i | −0.209970 | + | 0.0682235i | ||||
\(650\) | 15.7658 | 0.618387 | ||||||||
\(651\) | −5.80548 | + | 22.3195i | −0.227535 | + | 0.874771i | ||||
\(652\) | 33.8711 | 1.32649 | ||||||||
\(653\) | −4.08425 | + | 1.32705i | −0.159829 | + | 0.0519316i | −0.387839 | − | 0.921727i | \(-0.626778\pi\) |
0.228010 | + | 0.973659i | \(0.426778\pi\) | |||||||
\(654\) | 3.73013 | − | 0.999304i | 0.145860 | − | 0.0390759i | ||||
\(655\) | 17.4312 | − | 12.6645i | 0.681093 | − | 0.494843i | ||||
\(656\) | −33.6724 | + | 19.4408i | −1.31469 | + | 0.759034i | ||||
\(657\) | 3.34967 | + | 31.8977i | 0.130683 | + | 1.24445i | ||||
\(658\) | 5.40934 | + | 51.4664i | 0.210878 | + | 2.00637i | ||||
\(659\) | −7.46757 | + | 10.2782i | −0.290895 | + | 0.400383i | −0.929305 | − | 0.369314i | \(-0.879593\pi\) |
0.638409 | + | 0.769697i | \(0.279593\pi\) | |||||||
\(660\) | 36.5861 | + | 23.7616i | 1.42411 | + | 0.924920i | ||||
\(661\) | 4.78504 | − | 5.31433i | 0.186117 | − | 0.206703i | −0.642865 | − | 0.765980i | \(-0.722254\pi\) |
0.828981 | + | 0.559276i | \(0.188921\pi\) | |||||||
\(662\) | −84.4965 | − | 37.6203i | −3.28405 | − | 1.46215i | ||||
\(663\) | −3.24598 | + | 4.00808i | −0.126063 | + | 0.155661i | ||||
\(664\) | 12.0200 | + | 56.5495i | 0.466465 | + | 2.19454i | ||||
\(665\) | −7.43986 | − | 16.7102i | −0.288505 | − | 0.647993i | ||||
\(666\) | −2.25824 | + | 0.733520i | −0.0875050 | + | 0.0284233i | ||||
\(667\) | 14.3894 | − | 44.2860i | 0.557159 | − | 1.71476i | ||||
\(668\) | 7.59606 | − | 3.38198i | 0.293900 | − | 0.130853i | ||||
\(669\) | 5.99073 | − | 22.3537i | 0.231615 | − | 0.864242i | ||||
\(670\) | 121.743 | + | 25.8772i | 4.70333 | + | 0.999723i | ||||
\(671\) | −3.72894 | + | 8.37533i | −0.143954 | + | 0.323326i | ||||
\(672\) | −16.8250 | − | 43.8366i | −0.649038 | − | 1.69103i | ||||
\(673\) | −23.1055 | − | 2.42849i | −0.890652 | − | 0.0936113i | −0.351862 | − | 0.936052i | \(-0.614451\pi\) |
−0.538789 | + | 0.842440i | \(0.681118\pi\) | |||||||
\(674\) | 17.5902 | + | 12.7800i | 0.677548 | + | 0.492268i | ||||
\(675\) | −21.4933 | + | 5.75599i | −0.827278 | + | 0.221548i | ||||
\(676\) | 26.9406 | − | 46.6625i | 1.03618 | − | 1.79471i | ||||
\(677\) | −2.99768 | − | 5.19214i | −0.115210 | − | 0.199550i | 0.802653 | − | 0.596446i | \(-0.203421\pi\) |
−0.917864 | + | 0.396895i | \(0.870088\pi\) | |||||||
\(678\) | 41.4652 | − | 6.56551i | 1.59246 | − | 0.252147i | ||||
\(679\) | −25.7481 | − | 28.5962i | −0.988122 | − | 1.09742i | ||||
\(680\) | −15.1211 | − | 46.5381i | −0.579869 | − | 1.78465i | ||||
\(681\) | 14.0558 | − | 27.5831i | 0.538621 | − | 1.05699i | ||||
\(682\) | −16.4088 | + | 18.4963i | −0.628324 | + | 0.708260i | ||||
\(683\) | − | 10.9610i | − | 0.419411i | −0.977765 | − | 0.209705i | \(-0.932750\pi\) | ||
0.977765 | − | 0.209705i | \(-0.0672505\pi\) | |||||||
\(684\) | 21.6263 | − | 29.7604i | 0.826903 | − | 1.13792i | ||||
\(685\) | 7.35057 | − | 6.61848i | 0.280851 | − | 0.252879i | ||||
\(686\) | −30.5421 | − | 42.0375i | −1.16610 | − | 1.60500i | ||||
\(687\) | −38.2751 | + | 2.00417i | −1.46029 | + | 0.0764640i | ||||
\(688\) | −2.48252 | − | 1.43328i | −0.0946452 | − | 0.0546435i | ||||
\(689\) | −8.10161 | + | 0.851514i | −0.308647 | + | 0.0324401i | ||||
\(690\) | −43.1289 | − | 84.6547i | −1.64189 | − | 3.22275i | ||||
\(691\) | −0.295728 | + | 2.81366i | −0.0112500 | + | 0.107037i | −0.998706 | − | 0.0508586i | \(-0.983804\pi\) |
0.987456 | + | 0.157895i | \(0.0504709\pi\) | |||||||
\(692\) | 70.0023 | + | 63.0304i | 2.66109 | + | 2.39606i | ||||
\(693\) | −2.52351 | − | 11.8775i | −0.0958603 | − | 0.451188i | ||||
\(694\) | −6.25011 | + | 29.4045i | −0.237251 | + | 1.11618i | ||||
\(695\) | 30.8518 | − | 6.55775i | 1.17028 | − | 0.248750i | ||||
\(696\) | −4.65977 | + | 88.8367i | −0.176628 | + | 3.36735i | ||||
\(697\) | 7.77777 | + | 2.52715i | 0.294604 | + | 0.0957227i | ||||
\(698\) | 17.9069 | + | 5.81830i | 0.677786 | + | 0.220226i | ||||
\(699\) | −1.18355 | + | 22.5639i | −0.0447659 | + | 0.853445i | ||||
\(700\) | 48.9267 | − | 10.3997i | 1.84926 | − | 0.393071i | ||||
\(701\) | 0.547487 | − | 2.57572i | 0.0206783 | − | 0.0972838i | −0.966598 | − | 0.256296i | \(-0.917498\pi\) |
0.987277 | + | 0.159013i | \(0.0508310\pi\) | |||||||
\(702\) | 4.95397 | − | 18.4784i | 0.186975 | − | 0.697423i | ||||
\(703\) | 0.562774 | + | 0.506724i | 0.0212254 | + | 0.0191115i | ||||
\(704\) | 1.69217 | − | 16.0999i | 0.0637762 | − | 0.606790i | ||||
\(705\) | −19.7564 | − | 38.7784i | −0.744068 | − | 1.46048i | ||||
\(706\) | −35.7453 | + | 3.75698i | −1.34529 | + | 0.141396i | ||||
\(707\) | −4.37382 | − | 2.52523i | −0.164494 | − | 0.0949709i | ||||
\(708\) | −28.0756 | + | 1.47010i | −1.05515 | + | 0.0552499i | ||||
\(709\) | 6.09021 | + | 8.38245i | 0.228723 | + | 0.314810i | 0.907918 | − | 0.419148i | \(-0.137671\pi\) |
−0.679195 | + | 0.733958i | \(0.737671\pi\) | |||||||
\(710\) | −19.3869 | + | 17.4561i | −0.727578 | + | 0.655114i | ||||
\(711\) | −26.0164 | − | 18.9056i | −0.975690 | − | 0.709015i | ||||
\(712\) | 24.8197i | 0.930157i | ||||||||
\(713\) | 36.2470 | − | 12.0737i | 1.35746 | − | 0.452162i | ||||
\(714\) | −10.4716 | + | 20.5493i | −0.391888 | + | 0.769038i | ||||
\(715\) | −2.23592 | − | 6.88146i | −0.0836187 | − | 0.257352i | ||||
\(716\) | 52.2446 | + | 58.0235i | 1.95247 | + | 2.16844i | ||||
\(717\) | 24.0860 | − | 3.81373i | 0.899508 | − | 0.142426i | ||||
\(718\) | 15.0208 | + | 26.0167i | 0.560570 | + | 0.970935i | ||||
\(719\) | 14.4622 | − | 25.0493i | 0.539351 | − | 0.934183i | −0.459588 | − | 0.888132i | \(-0.652003\pi\) |
0.998939 | − | 0.0460507i | \(-0.0146636\pi\) | |||||||
\(720\) | 61.6989 | + | 68.5360i | 2.29938 | + | 2.55419i | ||||
\(721\) | −23.3284 | − | 16.9491i | −0.868796 | − | 0.631217i | ||||
\(722\) | 33.1328 | + | 3.48239i | 1.23307 | + | 0.129601i | ||||
\(723\) | −0.348490 | − | 0.907971i | −0.0129605 | − | 0.0337678i | ||||
\(724\) | 40.8147 | − | 91.6713i | 1.51687 | − | 3.40694i | ||||
\(725\) | −28.4241 | − | 6.04173i | −1.05565 | − | 0.224384i | ||||
\(726\) | −9.57075 | + | 35.7120i | −0.355204 | + | 1.32540i | ||||
\(727\) | −7.65093 | + | 3.40641i | −0.283757 | + | 0.126337i | −0.543680 | − | 0.839293i | \(-0.682970\pi\) |
0.259923 | + | 0.965629i | \(0.416303\pi\) | |||||||
\(728\) | −7.84816 | + | 24.1541i | −0.290872 | + | 0.895212i | ||||
\(729\) | −0.00733687 | + | 27.0000i | −0.000271736 | + | 1.00000i | ||||
\(730\) | 34.7611 | + | 78.0748i | 1.28657 | + | 2.88968i | ||||
\(731\) | 0.125356 | + | 0.589756i | 0.00463648 | + | 0.0218129i | ||||
\(732\) | −28.8415 | + | 35.6130i | −1.06601 | + | 1.31629i | ||||
\(733\) | −8.01827 | − | 3.56996i | −0.296162 | − | 0.131860i | 0.253277 | − | 0.967394i | \(-0.418492\pi\) |
−0.549438 | + | 0.835534i | \(0.685158\pi\) | |||||||
\(734\) | −10.8990 | + | 12.1046i | −0.402289 | + | 0.446788i | ||||
\(735\) | 5.66920 | + | 3.68199i | 0.209112 | + | 0.135812i | ||||
\(736\) | −45.7210 | + | 62.9295i | −1.68530 | + | 2.31961i | ||||
\(737\) | −2.75450 | − | 26.2074i | −0.101463 | − | 0.965361i | ||||
\(738\) | −30.1686 | + | 3.16808i | −1.11052 | + | 0.116619i | ||||
\(739\) | −27.9785 | + | 16.1534i | −1.02921 | + | 0.594213i | −0.916757 | − | 0.399445i | \(-0.869203\pi\) |
−0.112449 | + | 0.993657i | \(0.535870\pi\) | |||||||
\(740\) | −3.63158 | + | 2.63850i | −0.133500 | + | 0.0969931i | ||||
\(741\) | −5.89381 | + | 1.57896i | −0.216515 | + | 0.0580044i | ||||
\(742\) | −34.6450 | + | 11.2568i | −1.27186 | + | 0.413252i | ||||
\(743\) | 29.8865 | 1.09643 | 0.548215 | − | 0.836337i | \(-0.315307\pi\) | ||||
0.548215 | + | 0.836337i | \(0.315307\pi\) | |||||||
\(744\) | −60.9195 | + | 40.1996i | −2.23342 | + | 1.47379i | ||||
\(745\) | −48.8297 | −1.78898 | ||||||||
\(746\) | −55.4442 | + | 18.0149i | −2.02996 | + | 0.659573i | ||||
\(747\) | −4.76652 | + | 22.4147i | −0.174398 | + | 0.820112i | ||||
\(748\) | −14.1932 | + | 10.3120i | −0.518954 | + | 0.377042i | ||||
\(749\) | −17.7457 | + | 10.2455i | −0.648415 | + | 0.374363i | ||||
\(750\) | 8.33603 | − | 5.41295i | 0.304389 | − | 0.197653i | ||||
\(751\) | −0.634038 | − | 6.03247i | −0.0231364 | − | 0.220128i | −0.999981 | − | 0.00617761i | \(-0.998034\pi\) |
0.976845 | − | 0.213950i | \(-0.0686331\pi\) | |||||||
\(752\) | −48.9100 | + | 67.3188i | −1.78356 | + | 2.45487i | ||||
\(753\) | −0.520379 | + | 0.801233i | −0.0189637 | + | 0.0291986i | ||||
\(754\) | 16.7181 | − | 18.5673i | 0.608837 | − | 0.676182i | ||||
\(755\) | −3.09524 | − | 1.37809i | −0.112647 | − | 0.0501539i | ||||
\(756\) | 3.18483 | − | 60.6126i | 0.115831 | − | 2.20446i | ||||
\(757\) | 10.6169 | + | 49.9487i | 0.385878 | + | 1.81542i | 0.557410 | + | 0.830237i | \(0.311795\pi\) |
−0.171532 | + | 0.985179i | \(0.554872\pi\) | |||||||
\(758\) | 0.752846 | + | 1.69092i | 0.0273446 | + | 0.0614170i | ||||
\(759\) | −14.2245 | + | 14.2232i | −0.516315 | + | 0.516268i | ||||
\(760\) | 17.8888 | − | 55.0562i | 0.648897 | − | 1.99710i | ||||
\(761\) | −17.5512 | + | 7.81431i | −0.636232 | + | 0.283269i | −0.699396 | − | 0.714735i | \(-0.746547\pi\) |
0.0631642 | + | 0.998003i | \(0.479881\pi\) | |||||||
\(762\) | 70.8206 | + | 18.9798i | 2.56556 | + | 0.687564i | ||||
\(763\) | −1.98766 | − | 0.422489i | −0.0719580 | − | 0.0152951i | ||||
\(764\) | −41.1561 | + | 92.4381i | −1.48898 | + | 3.34429i | ||||
\(765\) | 2.02920 | − | 19.2897i | 0.0733658 | − | 0.697421i | ||||
\(766\) | 90.6110 | + | 9.52360i | 3.27391 | + | 0.344102i | ||||
\(767\) | 3.77241 | + | 2.74081i | 0.136214 | + | 0.0989651i | ||||
\(768\) | −7.92596 | + | 20.6450i | −0.286003 | + | 0.744963i | ||||
\(769\) | 20.2555 | − | 35.0836i | 0.730433 | − | 1.26515i | −0.226265 | − | 0.974066i | \(-0.572651\pi\) |
0.956698 | − | 0.291082i | \(-0.0940153\pi\) | |||||||
\(770\) | −16.1779 | − | 28.0209i | −0.583010 | − | 1.00980i | ||||
\(771\) | −2.88142 | − | 18.1979i | −0.103772 | − | 0.655382i | ||||
\(772\) | 13.8085 | + | 15.3359i | 0.496978 | + | 0.551950i | ||||
\(773\) | −2.66463 | − | 8.20090i | −0.0958402 | − | 0.294966i | 0.891632 | − | 0.452762i | \(-0.149561\pi\) |
−0.987472 | + | 0.157796i | \(0.949561\pi\) | |||||||
\(774\) | −1.31438 | − | 1.80943i | −0.0472443 | − | 0.0650386i | ||||
\(775\) | −9.85780 | − | 21.7086i | −0.354103 | − | 0.779797i | ||||
\(776\) | − | 121.782i | − | 4.37172i | ||||||
\(777\) | 1.23404 | + | 0.195510i | 0.0442710 | + | 0.00701389i | ||||
\(778\) | 74.5821 | − | 67.1540i | 2.67390 | − | 2.40759i | ||||
\(779\) | 5.68677 | + | 7.82716i | 0.203750 | + | 0.280437i | ||||
\(780\) | −1.89125 | − | 36.1185i | −0.0677176 | − | 1.29325i | ||||
\(781\) | 4.78340 | + | 2.76170i | 0.171163 | + | 0.0988213i | ||||
\(782\) | 37.9979 | − | 3.99374i | 1.35880 | − | 0.142816i | ||||
\(783\) | −16.0127 | + | 31.4162i | −0.572248 | + | 1.12272i | ||||
\(784\) | 1.35101 | − | 12.8540i | 0.0482502 | − | 0.459070i | ||||
\(785\) | −21.8551 | − | 19.6784i | −0.780041 | − | 0.702352i | ||||
\(786\) | −20.2251 | − | 24.9782i | −0.721404 | − | 0.890942i | ||||
\(787\) | −4.16673 | + | 19.6029i | −0.148528 | + | 0.698768i | 0.839357 | + | 0.543580i | \(0.182932\pi\) |
−0.987885 | + | 0.155188i | \(0.950402\pi\) | |||||||
\(788\) | 26.5617 | − | 5.64586i | 0.946221 | − | 0.201126i | ||||
\(789\) | −28.1448 | − | 1.47629i | −1.00198 | − | 0.0525572i | ||||
\(790\) | −81.5011 | − | 26.4813i | −2.89968 | − | 0.942162i | ||||
\(791\) | −21.0101 | − | 6.82661i | −0.747034 | − | 0.242726i | ||||
\(792\) | 19.2176 | − | 33.2789i | 0.682867 | − | 1.18251i | ||||
\(793\) | 7.43469 | − | 1.58029i | 0.264014 | − | 0.0561179i | ||||
\(794\) | 11.5121 | − | 54.1601i | 0.408549 | − | 1.92207i | ||||
\(795\) | 23.8091 | − | 19.2784i | 0.844420 | − | 0.683735i | ||||
\(796\) | 14.9186 | + | 13.4327i | 0.528775 | + | 0.476111i | ||||
\(797\) | −2.26304 | + | 21.5314i | −0.0801611 | + | 0.762682i | 0.878425 | + | 0.477880i | \(0.158595\pi\) |
−0.958586 | + | 0.284802i | \(0.908072\pi\) | |||||||
\(798\) | −24.3117 | + | 12.3860i | −0.860624 | + | 0.438461i | ||||
\(799\) | 17.4060 | − | 1.82944i | 0.615780 | − | 0.0647211i | ||||
\(800\) | 42.0388 | + | 24.2711i | 1.48629 | + | 0.858113i | ||||
\(801\) | −4.00232 | + | 8.98716i | −0.141415 | + | 0.317546i | ||||
\(802\) | −26.5659 | − | 36.5648i | −0.938074 | − | 1.29115i | ||||
\(803\) | 13.4470 | − | 12.1077i | 0.474534 | − | 0.427272i | ||||
\(804\) | 20.6118 | − | 130.099i | 0.726921 | − | 4.58825i | ||||
\(805\) | 49.9945i | 1.76208i | ||||||||
\(806\) | 20.4021 | + | 1.99232i | 0.718633 | + | 0.0701764i | ||||
\(807\) | 24.0123 | + | 12.2363i | 0.845274 | + | 0.430737i | ||||
\(808\) | −4.93926 | − | 15.2015i | −0.173762 | − | 0.534786i | ||||
\(809\) | −31.6075 | − | 35.1036i | −1.11126 | − | 1.23418i | −0.969713 | − | 0.244247i | \(-0.921459\pi\) |
−0.141546 | − | 0.989932i | \(-0.545207\pi\) | |||||||
\(810\) | 22.2200 | + | 68.4282i | 0.780730 | + | 2.40432i | ||||
\(811\) | −1.22154 | − | 2.11577i | −0.0428942 | − | 0.0742949i | 0.843781 | − | 0.536687i | \(-0.180324\pi\) |
−0.886675 | + | 0.462392i | \(0.846991\pi\) | |||||||
\(812\) | 39.6342 | − | 68.6485i | 1.39089 | − | 2.40909i | ||||
\(813\) | −39.6881 | − | 15.2369i | −1.39192 | − | 0.534381i | ||||
\(814\) | 1.08372 | + | 0.787371i | 0.0379845 | + | 0.0275973i | ||||
\(815\) | 21.0110 | + | 2.20835i | 0.735983 | + | 0.0773550i | ||||
\(816\) | −34.6222 | + | 13.2884i | −1.21202 | + | 0.465188i | ||||
\(817\) | −0.290121 | + | 0.651622i | −0.0101500 | + | 0.0227974i | ||||
\(818\) | 79.9041 | + | 16.9841i | 2.79378 | + | 0.593836i | ||||
\(819\) | −6.73679 | + | 7.48061i | −0.235403 | + | 0.261394i | ||||
\(820\) | −52.3906 | + | 23.3258i | −1.82956 | + | 0.814573i | ||||
\(821\) | −11.4123 | + | 35.1234i | −0.398291 | + | 1.22581i | 0.528077 | + | 0.849196i | \(0.322913\pi\) |
−0.926369 | + | 0.376618i | \(0.877087\pi\) | |||||||
\(822\) | −10.4324 | − | 10.4334i | −0.363873 | − | 0.363906i | ||||
\(823\) | −14.0857 | − | 31.6371i | −0.490998 | − | 1.10280i | −0.973870 | − | 0.227108i | \(-0.927073\pi\) |
0.482872 | − | 0.875691i | \(-0.339594\pi\) | |||||||
\(824\) | −18.9739 | − | 89.2650i | −0.660986 | − | 3.10969i | ||||
\(825\) | 9.75530 | + | 7.90042i | 0.339636 | + | 0.275057i | ||||
\(826\) | 19.0488 | + | 8.48108i | 0.662793 | + | 0.295094i | ||||
\(827\) | 19.9040 | − | 22.1056i | 0.692130 | − | 0.768688i | −0.289973 | − | 0.957035i | \(-0.593646\pi\) |
0.982103 | + | 0.188347i | \(0.0603130\pi\) | |||||||
\(828\) | −87.0832 | + | 50.2670i | −3.02635 | + | 1.74690i | ||||
\(829\) | 10.1502 | − | 13.9706i | 0.352531 | − | 0.485217i | −0.595518 | − | 0.803342i | \(-0.703053\pi\) |
0.948049 | + | 0.318125i | \(0.103053\pi\) | |||||||
\(830\) | 6.38280 | + | 60.7283i | 0.221550 | + | 2.10791i | ||||
\(831\) | 25.7358 | + | 39.6336i | 0.892765 | + | 1.37487i | ||||
\(832\) | −11.6233 | + | 6.71069i | −0.402964 | + | 0.232651i | ||||
\(833\) | −2.19931 | + | 1.59789i | −0.0762015 | + | 0.0553636i | ||||
\(834\) | −12.1751 | − | 45.4462i | −0.421588 | − | 1.57367i | ||||
\(835\) | 4.93251 | − | 1.60267i | 0.170697 | − | 0.0554627i | ||||
\(836\) | −20.7549 | −0.717822 | ||||||||
\(837\) | −28.5412 | + | 4.73256i | −0.986530 | + | 0.163581i | ||||
\(838\) | −1.56432 | −0.0540386 | ||||||||
\(839\) | 34.2051 | − | 11.1139i | 1.18089 | − | 0.383695i | 0.348193 | − | 0.937423i | \(-0.386795\pi\) |
0.832697 | + | 0.553728i | \(0.186795\pi\) | |||||||
\(840\) | −24.7158 | − | 92.2573i | −0.852776 | − | 3.18318i | ||||
\(841\) | −13.7948 | + | 10.0225i | −0.475682 | + | 0.345603i | ||||
\(842\) | 39.6409 | − | 22.8867i | 1.36611 | − | 0.788726i | ||||
\(843\) | 26.3035 | + | 40.5078i | 0.905940 | + | 1.39516i | ||||
\(844\) | −0.735548 | − | 6.99827i | −0.0253186 | − | 0.240891i | ||||
\(845\) | 19.7542 | − | 27.1893i | 0.679565 | − | 0.935341i | ||||
\(846\) | −56.2245 | + | 32.4544i | −1.93304 | + | 1.11581i | ||||
\(847\) | 13.0181 | − | 14.4581i | 0.447309 | − | 0.496787i | ||||
\(848\) | −53.5098 | − | 23.8241i | −1.83753 | − | 0.818123i | ||||
\(849\) | −23.7998 | − | 19.2745i | −0.816808 | − | 0.661499i | ||||
\(850\) | −4.95732 | − | 23.3224i | −0.170035 | − | 0.799951i | ||||
\(851\) | −0.841871 | − | 1.89087i | −0.0288590 | − | 0.0648183i | ||||
\(852\) | 19.5219 | + | 19.5236i | 0.668808 | + | 0.668868i | ||||
\(853\) | 10.8820 | − | 33.4912i | 0.372591 | − | 1.14672i | −0.572498 | − | 0.819906i | \(-0.694026\pi\) |
0.945089 | − | 0.326812i | \(-0.105974\pi\) | |||||||
\(854\) | 31.0503 | − | 13.8245i | 1.06252 | − | 0.473064i | ||||
\(855\) | 15.3556 | − | 17.0511i | 0.525152 | − | 0.583134i | ||||
\(856\) | −63.4332 | − | 13.4831i | −2.16810 | − | 0.460844i | ||||
\(857\) | −1.50594 | + | 3.38239i | −0.0514419 | + | 0.115540i | −0.937438 | − | 0.348152i | \(-0.886809\pi\) |
0.885996 | + | 0.463693i | \(0.153476\pi\) | |||||||
\(858\) | −10.0764 | + | 3.86745i | −0.344003 | + | 0.132033i | ||||
\(859\) | −18.4834 | − | 1.94269i | −0.630646 | − | 0.0662836i | −0.216188 | − | 0.976352i | \(-0.569362\pi\) |
−0.414459 | + | 0.910068i | \(0.636029\pi\) | |||||||
\(860\) | −3.42058 | − | 2.48520i | −0.116641 | − | 0.0847446i | ||||
\(861\) | 14.9019 | + | 5.72109i | 0.507856 | + | 0.194974i | ||||
\(862\) | 30.4604 | − | 52.7589i | 1.03748 | − | 1.79698i | ||||
\(863\) | 19.1074 | + | 33.0950i | 0.650424 | + | 1.12657i | 0.983020 | + | 0.183497i | \(0.0587419\pi\) |
−0.332597 | + | 0.943069i | \(0.607925\pi\) | |||||||
\(864\) | 41.6566 | − | 41.6452i | 1.41718 | − | 1.41680i | ||||
\(865\) | 39.3146 | + | 43.6633i | 1.33674 | + | 1.48460i | ||||
\(866\) | 29.2465 | + | 90.0115i | 0.993837 | + | 3.05872i | ||||
\(867\) | −19.2852 | − | 9.82738i | −0.654959 | − | 0.333755i | ||||
\(868\) | 64.6288 | − | 7.27510i | 2.19364 | − | 0.246933i | ||||
\(869\) | 18.1438i | 0.615486i | ||||||||
\(870\) | −14.7028 | + | 92.8023i | −0.498470 | + | 3.14629i | ||||
\(871\) | −16.2356 | + | 14.6186i | −0.550124 | + | 0.495334i | ||||
\(872\) | −3.78011 | − | 5.20287i | −0.128011 | − | 0.176192i | ||||
\(873\) | 19.6381 | − | 44.0971i | 0.664648 | − | 1.49246i | ||||
\(874\) | 39.1448 | + | 22.6003i | 1.32409 | + | 0.764465i | ||||
\(875\) | −5.20154 | + | 0.546704i | −0.175844 | + | 0.0184820i | ||||
\(876\) | 80.5920 | − | 41.0591i | 2.72295 | − | 1.38726i | ||||
\(877\) | −5.80293 | + | 55.2112i | −0.195951 | + | 1.86435i | 0.248612 | + | 0.968603i | \(0.420026\pi\) |
−0.444563 | + | 0.895747i | \(0.646641\pi\) | |||||||
\(878\) | −4.34769 | − | 3.91468i | −0.146728 | − | 0.132114i | ||||
\(879\) | 0.828753 | − | 0.671048i | 0.0279531 | − | 0.0226339i | ||||
\(880\) | 10.8168 | − | 50.8891i | 0.364635 | − | 1.71547i | ||||
\(881\) | −30.2337 | + | 6.42637i | −1.01860 | + | 0.216510i | −0.686805 | − | 0.726842i | \(-0.740987\pi\) |
−0.331794 | + | 0.943352i | \(0.607654\pi\) | |||||||
\(882\) | 5.04260 | − | 8.73220i | 0.169793 | − | 0.294029i | ||||
\(883\) | −1.28760 | − | 0.418367i | −0.0433312 | − | 0.0140792i | 0.287271 | − | 0.957849i | \(-0.407252\pi\) |
−0.330602 | + | 0.943770i | \(0.607252\pi\) | |||||||
\(884\) | 13.8330 | + | 4.49461i | 0.465253 | + | 0.151170i | ||||
\(885\) | −17.5118 | − | 0.918550i | −0.588653 | − | 0.0308767i | ||||
\(886\) | 14.1224 | − | 3.00181i | 0.474451 | − | 0.100848i | ||||
\(887\) | 9.66809 | − | 45.4848i | 0.324623 | − | 1.52723i | −0.448970 | − | 0.893547i | \(-0.648209\pi\) |
0.773593 | − | 0.633683i | \(-0.218458\pi\) | |||||||
\(888\) | 2.48834 | + | 3.07312i | 0.0835031 | + | 0.103127i | ||||
\(889\) | −28.6719 | − | 25.8163i | −0.961625 | − | 0.865851i | ||||
\(890\) | −2.74021 | + | 26.0714i | −0.0918520 | + | 0.873914i | ||||
\(891\) | 12.3251 | − | 8.95126i | 0.412905 | − | 0.299879i | ||||
\(892\) | −64.9059 | + | 6.82189i | −2.17321 | + | 0.228414i | ||||
\(893\) | 17.9313 | + | 10.3527i | 0.600050 | + | 0.346439i | ||||
\(894\) | 3.80874 | + | 72.7381i | 0.127383 | + | 2.43273i | ||||
\(895\) | 28.6255 | + | 39.3996i | 0.956844 | + | 1.31698i | ||||
\(896\) | −4.30918 | + | 3.88001i | −0.143960 | + | 0.129622i | ||||
\(897\) | 16.4716 | + | 2.60960i | 0.549970 | + | 0.0871322i | ||||
\(898\) | − | 60.1615i | − | 2.00762i | ||||||
\(899\) | −36.0193 | − | 11.4104i | −1.20131 | − | 0.380557i | ||||
\(900\) | 36.8781 | + | 50.7680i | 1.22927 | + | 1.69227i | ||||
\(901\) | 3.80707 | + | 11.7170i | 0.126832 | + | 0.390349i | ||||
\(902\) | 11.4514 | + | 12.7180i | 0.381289 | + | 0.423464i | ||||
\(903\) | 0.184046 | + | 1.16236i | 0.00612466 | + | 0.0386809i | ||||
\(904\) | −34.9576 | − | 60.5483i | −1.16267 | − | 2.01381i | ||||
\(905\) | 31.2951 | − | 54.2047i | 1.04029 | − | 1.80183i | ||||
\(906\) | −1.81141 | + | 4.71826i | −0.0601802 | + | 0.156754i | ||||
\(907\) | 20.6549 | + | 15.0067i | 0.685835 | + | 0.498288i | 0.875288 | − | 0.483601i | \(-0.160672\pi\) |
−0.189453 | + | 0.981890i | \(0.560672\pi\) | |||||||
\(908\) | −86.8252 | − | 9.12570i | −2.88140 | − | 0.302847i | ||||
\(909\) | 0.662829 | − | 6.30090i | 0.0219846 | − | 0.208988i | ||||
\(910\) | −10.9107 | + | 24.5058i | −0.361685 | + | 0.812358i | ||||
\(911\) | 25.6650 | + | 5.45526i | 0.850319 | + | 0.180741i | 0.612404 | − | 0.790545i | \(-0.290203\pi\) |
0.237915 | + | 0.971286i | \(0.423536\pi\) | |||||||
\(912\) | −42.3771 | − | 11.3570i | −1.40325 | − | 0.376067i | ||||
\(913\) | 11.8108 | − | 5.25849i | 0.390879 | − | 0.174031i | ||||
\(914\) | 5.19219 | − | 15.9799i | 0.171742 | − | 0.528568i | ||||
\(915\) | −20.2130 | + | 20.2111i | −0.668220 | + | 0.668159i | ||||
\(916\) | 43.9627 | + | 98.7418i | 1.45257 | + | 3.26252i | ||||
\(917\) | 3.51628 | + | 16.5428i | 0.116118 | + | 0.546291i | ||||
\(918\) | −28.8928 | − | 1.51814i | −0.953605 | − | 0.0501062i | ||||
\(919\) | −46.4703 | − | 20.6899i | −1.53291 | − | 0.682497i | −0.545133 | − | 0.838349i | \(-0.683521\pi\) |
−0.987780 | + | 0.155852i | \(0.950188\pi\) | |||||||
\(920\) | −105.872 | + | 117.583i | −3.49050 | + | 3.87660i | ||||
\(921\) | 7.79126 | − | 11.9963i | 0.256731 | − | 0.395292i | ||||
\(922\) | −48.4522 | + | 66.6887i | −1.59569 | + | 2.19628i | ||||
\(923\) | −0.478660 | − | 4.55415i | −0.0157553 | − | 0.149902i | ||||
\(924\) | −28.7194 | + | 18.6488i | −0.944800 | + | 0.613500i | ||||
\(925\) | −1.11863 | + | 0.645840i | −0.0367802 | + | 0.0212351i | ||||
\(926\) | −12.2039 | + | 8.86664i | −0.401045 | + | 0.291376i | ||||
\(927\) | 7.52409 | − | 35.3823i | 0.247124 | − | 1.16211i | ||||
\(928\) | 73.1619 | − | 23.7717i | 2.40166 | − | 0.780345i | ||||
\(929\) | −34.8718 | −1.14411 | −0.572054 | − | 0.820216i | \(-0.693853\pi\) | ||||
−0.572054 | + | 0.820216i | \(0.693853\pi\) | |||||||
\(930\) | −68.4299 | + | 35.5010i | −2.24391 | + | 1.16412i | ||||
\(931\) | −3.21608 | −0.105403 | ||||||||
\(932\) | 60.6006 | − | 19.6903i | 1.98504 | − | 0.644978i | ||||
\(933\) | −38.6281 | + | 10.3485i | −1.26463 | + | 0.338795i | ||||
\(934\) | 32.0881 | − | 23.3134i | 1.04995 | − | 0.762836i | ||||
\(935\) | −9.47669 | + | 5.47137i | −0.309921 | + | 0.178933i | ||||
\(936\) | −31.6859 | + | 3.32742i | −1.03569 | + | 0.108760i | ||||
\(937\) | −0.337219 | − | 3.20843i | −0.0110165 | − | 0.104815i | 0.987632 | − | 0.156791i | \(-0.0501148\pi\) |
−0.998648 | + | 0.0519759i | \(0.983448\pi\) | |||||||
\(938\) | −57.4237 | + | 79.0370i | −1.87495 | + | 2.58065i | ||||
\(939\) | 36.4159 | + | 23.6511i | 1.18839 | + | 0.771824i | ||||
\(940\) | −82.1240 | + | 91.2079i | −2.67859 | + | 2.97487i | ||||
\(941\) | 42.2183 | + | 18.7968i | 1.37628 | + | 0.612758i | 0.955658 | − | 0.294479i | \(-0.0951461\pi\) |
0.420619 | + | 0.907237i | \(0.361813\pi\) | |||||||
\(942\) | −27.6088 | + | 34.0909i | −0.899543 | + | 1.11074i | ||||
\(943\) | −5.49790 | − | 25.8656i | −0.179036 | − | 0.842299i | ||||
\(944\) | 13.6370 | + | 30.6293i | 0.443848 | + | 0.996899i | ||||
\(945\) | 5.92748 | − | 37.3917i | 0.192821 | − | 1.21635i | ||||
\(946\) | −0.389895 | + | 1.19997i | −0.0126766 | + | 0.0390145i | ||||
\(947\) | 51.6377 | − | 22.9906i | 1.67800 | − | 0.747094i | 0.678074 | − | 0.734994i | \(-0.262815\pi\) |
0.999927 | − | 0.0121000i | \(-0.00385164\pi\) | |||||||
\(948\) | −23.4772 | + | 87.6024i | −0.762505 | + | 2.84519i | ||||
\(949\) | −14.6738 | − | 3.11901i | −0.476332 | − | 0.101248i | ||||
\(950\) | 11.4731 | − | 25.7689i | 0.372235 | − | 0.836054i | ||||
\(951\) | 10.1194 | + | 26.3654i | 0.328143 | + | 0.854956i | ||||
\(952\) | 38.1989 | + | 4.01487i | 1.23803 | + | 0.130123i | ||||
\(953\) | −21.0950 | − | 15.3264i | −0.683334 | − | 0.496471i | 0.191128 | − | 0.981565i | \(-0.438785\pi\) |
−0.874462 | + | 0.485094i | \(0.838785\pi\) | |||||||
\(954\) | −30.5748 | − | 33.9629i | −0.989895 | − | 1.09959i | ||||
\(955\) | −31.5569 | + | 54.6582i | −1.02116 | + | 1.76870i | ||||
\(956\) | −34.3852 | − | 59.5569i | −1.11210 | − | 1.92621i | ||||
\(957\) | 19.6488 | − | 3.11115i | 0.635156 | − | 0.100569i | ||||
\(958\) | 2.02987 | + | 2.25440i | 0.0655821 | + | 0.0728363i | ||||
\(959\) | 2.39919 | + | 7.38395i | 0.0774739 | + | 0.238440i | ||||
\(960\) | 22.9165 | − | 44.9712i | 0.739628 | − | 1.45144i | ||||
\(961\) | −10.0134 | − | 29.3382i | −0.323012 | − | 0.946395i | ||||
\(962\) | − | 1.11057i | − | 0.0358064i | ||||||
\(963\) | −20.7948 | − | 15.1112i | −0.670103 | − | 0.486951i | ||||
\(964\) | −2.03820 | + | 1.83520i | −0.0656459 | + | 0.0591078i | ||||
\(965\) | 7.56585 | + | 10.4135i | 0.243553 | + | 0.335222i | ||||
\(966\) | 74.4733 | − | 3.89960i | 2.39614 | − | 0.125467i | ||||
\(967\) | 23.8965 | + | 13.7966i | 0.768458 | + | 0.443670i | 0.832324 | − | 0.554289i | \(-0.187010\pi\) |
−0.0638662 | + | 0.997958i | \(0.520343\pi\) | |||||||
\(968\) | 61.2352 | − | 6.43608i | 1.96817 | − | 0.206864i | ||||
\(969\) | 4.18897 | + | 8.22223i | 0.134569 | + | 0.264136i | ||||
\(970\) | 13.4453 | − | 127.924i | 0.431703 | − | 4.10738i | ||||
\(971\) | −19.1198 | − | 17.2155i | −0.613582 | − | 0.552472i | 0.302659 | − | 0.953099i | \(-0.402126\pi\) |
−0.916241 | + | 0.400627i | \(0.868792\pi\) | |||||||
\(972\) | 71.0908 | − | 27.2707i | 2.28024 | − | 0.874709i | ||||
\(973\) | −5.14742 | + | 24.2167i | −0.165019 | + | 0.776352i | ||||
\(974\) | −1.05505 | + | 0.224258i | −0.0338060 | + | 0.00718570i | ||||
\(975\) | 0.545150 | − | 10.3931i | 0.0174588 | − | 0.332845i | ||||
\(976\) | 51.9770 | + | 16.8884i | 1.66374 | + | 0.540583i | ||||
\(977\) | 13.5406 | + | 4.39960i | 0.433201 | + | 0.140756i | 0.517497 | − | 0.855685i | \(-0.326864\pi\) |
−0.0842953 | + | 0.996441i | \(0.526864\pi\) | |||||||
\(978\) | 1.65075 | − | 31.4709i | 0.0527851 | − | 1.00633i | ||||
\(979\) | 5.42906 | − | 1.15398i | 0.173513 | − | 0.0368814i | ||||
\(980\) | 3.96353 | − | 18.6469i | 0.126610 | − | 0.595655i | ||||
\(981\) | −0.529777 | − | 2.49351i | −0.0169145 | − | 0.0796118i | ||||
\(982\) | 14.5947 | + | 13.1412i | 0.465737 | + | 0.419351i | ||||
\(983\) | −1.05611 | + | 10.0482i | −0.0336846 | + | 0.320488i | 0.964685 | + | 0.263407i | \(0.0848460\pi\) |
−0.998370 | + | 0.0570812i | \(0.981821\pi\) | |||||||
\(984\) | 22.9327 | + | 45.0130i | 0.731068 | + | 1.43496i | ||||
\(985\) | 16.8449 | − | 1.77047i | 0.536724 | − | 0.0564120i | ||||
\(986\) | −32.7234 | − | 18.8928i | −1.04212 | − | 0.601671i | ||||
\(987\) | 34.1145 | − | 1.78632i | 1.08588 | − | 0.0568591i | ||||
\(988\) | 10.1141 | + | 13.9208i | 0.321771 | + | 0.442880i | ||||
\(989\) | 1.44881 | − | 1.30451i | 0.0460694 | − | 0.0414810i | ||||
\(990\) | 23.8609 | − | 32.8354i | 0.758348 | − | 1.04358i | ||||
\(991\) | 27.0688i | 0.859867i | 0.902860 | + | 0.429934i | \(0.141463\pi\) | ||||
−0.902860 | + | 0.429934i | \(0.858537\pi\) | |||||||
\(992\) | 51.3340 | + | 36.7209i | 1.62986 | + | 1.16589i | ||||
\(993\) | −27.7216 | + | 54.4006i | −0.879719 | + | 1.72635i | ||||
\(994\) | −6.32779 | − | 19.4749i | −0.200705 | − | 0.617708i | ||||
\(995\) | 8.37854 | + | 9.30531i | 0.265618 | + | 0.294998i | ||||
\(996\) | 63.8294 | − | 10.1066i | 2.02251 | − | 0.320240i | ||||
\(997\) | 26.1322 | + | 45.2623i | 0.827615 | + | 1.43347i | 0.899905 | + | 0.436087i | \(0.143636\pi\) |
−0.0722898 | + | 0.997384i | \(0.523031\pi\) | |||||||
\(998\) | −2.64868 | + | 4.58764i | −0.0838424 | + | 0.145219i | ||||
\(999\) | 0.405463 | + | 1.51403i | 0.0128283 | + | 0.0479018i |
(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 | 93.2.p.b.11.1 | ✓ | 64 | |
3.2 | odd | 2 | inner | 93.2.p.b.11.8 | yes | 64 | |
31.17 | odd | 30 | inner | 93.2.p.b.17.8 | yes | 64 | |
93.17 | even | 30 | inner | 93.2.p.b.17.1 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
93.2.p.b.11.1 | ✓ | 64 | 1.1 | even | 1 | trivial | |
93.2.p.b.11.8 | yes | 64 | 3.2 | odd | 2 | inner | |
93.2.p.b.17.1 | yes | 64 | 93.17 | even | 30 | inner | |
93.2.p.b.17.8 | yes | 64 | 31.17 | odd | 30 | inner |