Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.2.l.a.59.13 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.09968 | + | 0.889210i | 0.777594 | + | 0.628767i | ||||
\(3\) | −0.745195 | + | 1.56355i | −0.430239 | + | 0.902715i | ||||
\(4\) | 0.418610 | + | 1.95570i | 0.209305 | + | 0.977850i | ||||
\(5\) | 0.605021 | − | 1.66228i | 0.270574 | − | 0.743395i | −0.727768 | − | 0.685824i | \(-0.759442\pi\) |
0.998341 | − | 0.0575715i | \(-0.0183357\pi\) | |||||||
\(6\) | −2.20980 | + | 1.05677i | −0.902148 | + | 0.431426i | ||||
\(7\) | −0.748045 | − | 0.131901i | −0.282734 | − | 0.0498537i | 0.0304825 | − | 0.999535i | \(-0.490296\pi\) |
−0.313217 | + | 0.949682i | \(0.601407\pi\) | |||||||
\(8\) | −1.27869 | + | 2.52289i | −0.452085 | + | 0.891975i | ||||
\(9\) | −1.88937 | − | 2.33030i | −0.629790 | − | 0.776766i | ||||
\(10\) | 2.14345 | − | 1.28999i | 0.677819 | − | 0.407932i | ||||
\(11\) | 3.01780 | − | 1.09839i | 0.909901 | − | 0.331177i | 0.155688 | − | 0.987806i | \(-0.450241\pi\) |
0.754213 | + | 0.656629i | \(0.228018\pi\) | |||||||
\(12\) | −3.36978 | − | 0.802861i | −0.972772 | − | 0.231766i | ||||
\(13\) | −1.07167 | + | 0.899234i | −0.297227 | + | 0.249403i | −0.779189 | − | 0.626789i | \(-0.784369\pi\) |
0.481962 | + | 0.876192i | \(0.339924\pi\) | |||||||
\(14\) | −0.705326 | − | 0.810218i | −0.188506 | − | 0.216540i | ||||
\(15\) | 2.14820 | + | 2.18471i | 0.554663 | + | 0.564088i | ||||
\(16\) | −3.64953 | + | 1.63735i | −0.912383 | + | 0.409338i | ||||
\(17\) | 5.55887 | − | 3.20941i | 1.34822 | − | 0.778397i | 0.360225 | − | 0.932865i | \(-0.382700\pi\) |
0.987998 | + | 0.154469i | \(0.0493665\pi\) | |||||||
\(18\) | −0.00558393 | − | 4.24264i | −0.00131614 | − | 0.999999i | ||||
\(19\) | −2.51793 | − | 1.45373i | −0.577653 | − | 0.333508i | 0.182547 | − | 0.983197i | \(-0.441566\pi\) |
−0.760200 | + | 0.649689i | \(0.774899\pi\) | |||||||
\(20\) | 3.50420 | + | 0.487393i | 0.783562 | + | 0.108984i | ||||
\(21\) | 0.763672 | − | 1.07131i | 0.166647 | − | 0.233780i | ||||
\(22\) | 4.29533 | + | 1.47558i | 0.915767 | + | 0.314594i | ||||
\(23\) | −1.06877 | − | 6.06131i | −0.222854 | − | 1.26387i | −0.866744 | − | 0.498752i | \(-0.833792\pi\) |
0.643890 | − | 0.765118i | \(-0.277319\pi\) | |||||||
\(24\) | −2.99178 | − | 3.87934i | −0.610695 | − | 0.791866i | ||||
\(25\) | 1.43309 | + | 1.20251i | 0.286618 | + | 0.240501i | ||||
\(26\) | −1.97810 | + | 0.0359374i | −0.387938 | + | 0.00704791i | ||||
\(27\) | 5.05148 | − | 1.21759i | 0.972158 | − | 0.234326i | ||||
\(28\) | −0.0551813 | − | 1.51817i | −0.0104283 | − | 0.286907i | ||||
\(29\) | −4.87432 | + | 5.80899i | −0.905138 | + | 1.07870i | 0.0914207 | + | 0.995812i | \(0.470859\pi\) |
−0.996559 | + | 0.0828892i | \(0.973585\pi\) | |||||||
\(30\) | 0.419680 | + | 4.31269i | 0.0766227 | + | 0.787385i | ||||
\(31\) | −9.30557 | + | 1.64082i | −1.67133 | + | 0.294701i | −0.927543 | − | 0.373716i | \(-0.878084\pi\) |
−0.743787 | + | 0.668417i | \(0.766972\pi\) | |||||||
\(32\) | −5.46928 | − | 1.44463i | −0.966842 | − | 0.255377i | ||||
\(33\) | −0.531465 | + | 5.53699i | −0.0925161 | + | 0.963867i | ||||
\(34\) | 8.96684 | + | 1.41366i | 1.53780 | + | 0.242441i | ||||
\(35\) | −0.671839 | + | 1.16366i | −0.113562 | + | 0.196694i | ||||
\(36\) | 3.76646 | − | 4.67053i | 0.627743 | − | 0.778421i | ||||
\(37\) | 1.62042 | + | 2.80666i | 0.266396 | + | 0.461411i | 0.967928 | − | 0.251226i | \(-0.0808338\pi\) |
−0.701532 | + | 0.712638i | \(0.747500\pi\) | |||||||
\(38\) | −1.47626 | − | 3.83761i | −0.239481 | − | 0.622543i | ||||
\(39\) | −0.607396 | − | 2.34571i | −0.0972613 | − | 0.375614i | ||||
\(40\) | 3.42011 | + | 3.65194i | 0.540767 | + | 0.577423i | ||||
\(41\) | −4.14810 | − | 4.94351i | −0.647824 | − | 0.772047i | 0.337760 | − | 0.941232i | \(-0.390331\pi\) |
−0.985584 | + | 0.169185i | \(0.945886\pi\) | |||||||
\(42\) | 1.79242 | − | 0.499041i | 0.276577 | − | 0.0770037i | ||||
\(43\) | 2.50294 | + | 6.87676i | 0.381694 | + | 1.04870i | 0.970643 | + | 0.240526i | \(0.0773199\pi\) |
−0.588949 | + | 0.808171i | \(0.700458\pi\) | |||||||
\(44\) | 3.41140 | + | 5.44212i | 0.514288 | + | 0.820430i | ||||
\(45\) | −5.01672 | + | 1.73078i | −0.747849 | + | 0.258010i | ||||
\(46\) | 4.21447 | − | 7.61589i | 0.621389 | − | 1.12290i | ||||
\(47\) | 0.737485 | − | 4.18249i | 0.107573 | − | 0.610079i | −0.882588 | − | 0.470147i | \(-0.844201\pi\) |
0.990161 | − | 0.139931i | \(-0.0446881\pi\) | |||||||
\(48\) | 0.159533 | − | 6.92637i | 0.0230266 | − | 0.999735i | ||||
\(49\) | −6.03567 | − | 2.19681i | −0.862239 | − | 0.313829i | ||||
\(50\) | 0.506666 | + | 2.59669i | 0.0716534 | + | 0.367228i | ||||
\(51\) | 0.875633 | + | 11.0832i | 0.122613 | + | 1.55196i | ||||
\(52\) | −2.20724 | − | 1.71943i | −0.306090 | − | 0.238442i | ||||
\(53\) | 9.63986i | 1.32414i | 0.749444 | + | 0.662068i | \(0.230321\pi\) | ||||
−0.749444 | + | 0.662068i | \(0.769679\pi\) | |||||||
\(54\) | 6.63773 | + | 3.15286i | 0.903281 | + | 0.429050i | ||||
\(55\) | − | 5.68099i | − | 0.766024i | ||||||
\(56\) | 1.28929 | − | 1.71857i | 0.172288 | − | 0.229654i | ||||
\(57\) | 4.14932 | − | 2.85360i | 0.549592 | − | 0.377968i | ||||
\(58\) | −10.5256 | + | 2.05376i | −1.38208 | + | 0.269671i | ||||
\(59\) | 0.397395 | + | 0.144640i | 0.0517364 | + | 0.0188305i | 0.367759 | − | 0.929921i | \(-0.380125\pi\) |
−0.316022 | + | 0.948752i | \(0.602347\pi\) | |||||||
\(60\) | −3.37337 | + | 5.11578i | −0.435500 | + | 0.660444i | ||||
\(61\) | 1.38430 | − | 7.85077i | 0.177242 | − | 1.00519i | −0.758283 | − | 0.651926i | \(-0.773961\pi\) |
0.935524 | − | 0.353262i | \(-0.114928\pi\) | |||||||
\(62\) | −11.6922 | − | 6.47022i | −1.48491 | − | 0.821719i | ||||
\(63\) | 1.10597 | + | 1.99238i | 0.139339 | + | 0.251016i | ||||
\(64\) | −4.72990 | − | 6.45198i | −0.591238 | − | 0.806497i | ||||
\(65\) | 0.846401 | + | 2.32547i | 0.104983 | + | 0.288439i | ||||
\(66\) | −5.50799 | + | 5.61636i | −0.677987 | + | 0.691326i | ||||
\(67\) | 3.65540 | + | 4.35634i | 0.446579 | + | 0.532212i | 0.941629 | − | 0.336653i | \(-0.109295\pi\) |
−0.495050 | + | 0.868864i | \(0.664850\pi\) | |||||||
\(68\) | 8.60365 | + | 9.52798i | 1.04335 | + | 1.15544i | ||||
\(69\) | 10.2736 | + | 2.84578i | 1.23680 | + | 0.342592i | ||||
\(70\) | −1.77355 | + | 0.682252i | −0.211980 | + | 0.0815447i | ||||
\(71\) | 1.88825 | + | 3.27054i | 0.224094 | + | 0.388142i | 0.956047 | − | 0.293213i | \(-0.0947245\pi\) |
−0.731953 | + | 0.681355i | \(0.761391\pi\) | |||||||
\(72\) | 8.29499 | − | 1.78693i | 0.977574 | − | 0.210592i | ||||
\(73\) | −5.59853 | + | 9.69694i | −0.655258 | + | 1.13494i | 0.326571 | + | 0.945173i | \(0.394107\pi\) |
−0.981829 | + | 0.189768i | \(0.939226\pi\) | |||||||
\(74\) | −0.713753 | + | 4.52733i | −0.0829721 | + | 0.526292i | ||||
\(75\) | −2.94811 | + | 1.34460i | −0.340418 | + | 0.155262i | ||||
\(76\) | 1.78903 | − | 5.53287i | 0.205215 | − | 0.634663i | ||||
\(77\) | −2.40233 | + | 0.423595i | −0.273771 | + | 0.0482732i | ||||
\(78\) | 1.41788 | − | 3.11964i | 0.160543 | − | 0.353230i | ||||
\(79\) | 6.53113 | − | 7.78350i | 0.734810 | − | 0.875712i | −0.261170 | − | 0.965293i | \(-0.584108\pi\) |
0.995980 | + | 0.0895809i | \(0.0285528\pi\) | |||||||
\(80\) | 0.513698 | + | 7.05719i | 0.0574331 | + | 0.789017i | ||||
\(81\) | −1.86057 | + | 8.80558i | −0.206730 | + | 0.978398i | ||||
\(82\) | −0.165777 | − | 9.12484i | −0.0183070 | − | 1.00767i | ||||
\(83\) | 3.80396 | + | 3.19190i | 0.417538 | + | 0.350356i | 0.827226 | − | 0.561870i | \(-0.189918\pi\) |
−0.409687 | + | 0.912226i | \(0.634362\pi\) | |||||||
\(84\) | 2.41485 | + | 1.04505i | 0.263482 | + | 0.114025i | ||||
\(85\) | −1.97172 | − | 11.1822i | −0.213863 | − | 1.21288i | ||||
\(86\) | −3.36245 | + | 9.78790i | −0.362582 | + | 1.05546i | ||||
\(87\) | −5.45031 | − | 11.9501i | −0.584335 | − | 1.28118i | ||||
\(88\) | −1.08772 | + | 9.01807i | −0.115952 | + | 0.961329i | ||||
\(89\) | −0.509288 | − | 0.294037i | −0.0539844 | − | 0.0311679i | 0.472765 | − | 0.881189i | \(-0.343256\pi\) |
−0.526749 | + | 0.850021i | \(0.676589\pi\) | |||||||
\(90\) | −7.05584 | − | 2.55760i | −0.743751 | − | 0.269595i | ||||
\(91\) | 0.920264 | − | 0.531314i | 0.0964698 | − | 0.0556969i | ||||
\(92\) | 11.4067 | − | 4.62752i | 1.18923 | − | 0.482453i | ||||
\(93\) | 4.36896 | − | 15.7725i | 0.453040 | − | 1.63553i | ||||
\(94\) | 4.53011 | − | 3.94364i | 0.467245 | − | 0.406755i | ||||
\(95\) | −3.93991 | + | 3.30598i | −0.404226 | + | 0.339186i | ||||
\(96\) | 6.33443 | − | 7.47496i | 0.646505 | − | 0.762910i | ||||
\(97\) | 15.8811 | − | 5.78024i | 1.61248 | − | 0.586895i | 0.630552 | − | 0.776147i | \(-0.282829\pi\) |
0.981928 | + | 0.189252i | \(0.0606065\pi\) | |||||||
\(98\) | −4.68391 | − | 7.78278i | −0.473147 | − | 0.786179i | ||||
\(99\) | −8.26131 | − | 4.95711i | −0.830293 | − | 0.498208i | ||||
\(100\) | −1.75183 | + | 3.30608i | −0.175183 | + | 0.330608i | ||||
\(101\) | −5.39858 | − | 0.951915i | −0.537178 | − | 0.0947191i | −0.101524 | − | 0.994833i | \(-0.532372\pi\) |
−0.435654 | + | 0.900114i | \(0.643483\pi\) | |||||||
\(102\) | −8.89237 | + | 12.9666i | −0.880476 | + | 1.28389i | ||||
\(103\) | 2.06594 | − | 5.67611i | 0.203563 | − | 0.559284i | −0.795338 | − | 0.606167i | \(-0.792706\pi\) |
0.998900 | + | 0.0468827i | \(0.0149287\pi\) | |||||||
\(104\) | −0.898336 | − | 3.85353i | −0.0880891 | − | 0.377870i | ||||
\(105\) | −1.31879 | − | 1.91761i | −0.128700 | − | 0.187139i | ||||
\(106\) | −8.57186 | + | 10.6008i | −0.832573 | + | 1.02964i | ||||
\(107\) | −4.28762 | −0.414500 | −0.207250 | − | 0.978288i | \(-0.566451\pi\) | ||||
−0.207250 | + | 0.978288i | \(0.566451\pi\) | |||||||
\(108\) | 4.49585 | + | 9.36949i | 0.432613 | + | 0.901580i | ||||
\(109\) | −4.75148 | −0.455109 | −0.227554 | − | 0.973765i | \(-0.573073\pi\) | ||||
−0.227554 | + | 0.973765i | \(0.573073\pi\) | |||||||
\(110\) | 5.05159 | − | 6.24729i | 0.481650 | − | 0.595656i | ||||
\(111\) | −5.59587 | + | 0.442105i | −0.531137 | + | 0.0419627i | ||||
\(112\) | 2.94598 | − | 0.743438i | 0.278369 | − | 0.0702483i | ||||
\(113\) | 3.11256 | − | 8.55169i | 0.292805 | − | 0.804475i | −0.702848 | − | 0.711340i | \(-0.748089\pi\) |
0.995653 | − | 0.0931357i | \(-0.0296890\pi\) | |||||||
\(114\) | 7.10039 | + | 0.551568i | 0.665013 | + | 0.0516590i | ||||
\(115\) | −10.7222 | − | 1.89062i | −0.999854 | − | 0.176301i | ||||
\(116\) | −13.4011 | − | 7.10101i | −1.24426 | − | 0.659312i | ||||
\(117\) | 4.12025 | + | 0.798315i | 0.380918 | + | 0.0738042i | ||||
\(118\) | 0.308394 | + | 0.512426i | 0.0283899 | + | 0.0471726i | ||||
\(119\) | −4.58161 | + | 1.66757i | −0.419995 | + | 0.152866i | ||||
\(120\) | −8.25864 | + | 2.62610i | −0.753908 | + | 0.239729i | ||||
\(121\) | −0.525827 | + | 0.441221i | −0.0478025 | + | 0.0401110i | ||||
\(122\) | 8.50328 | − | 7.40243i | 0.769851 | − | 0.670185i | ||||
\(123\) | 10.8206 | − | 2.80187i | 0.975658 | − | 0.252636i | ||||
\(124\) | −7.10437 | − | 17.5121i | −0.637991 | − | 1.57263i | ||||
\(125\) | 10.5258 | − | 6.07707i | 0.941456 | − | 0.543550i | ||||
\(126\) | −0.555429 | + | 3.17442i | −0.0494816 | + | 0.282800i | ||||
\(127\) | 7.58333 | + | 4.37824i | 0.672911 | + | 0.388506i | 0.797179 | − | 0.603743i | \(-0.206325\pi\) |
−0.124267 | + | 0.992249i | \(0.539658\pi\) | |||||||
\(128\) | 0.535768 | − | 11.3010i | 0.0473557 | − | 0.998878i | ||||
\(129\) | −12.6173 | − | 1.21107i | −1.11089 | − | 0.106628i | ||||
\(130\) | −1.13706 | + | 3.30991i | −0.0997264 | + | 0.290298i | ||||
\(131\) | 1.28295 | + | 7.27595i | 0.112092 | + | 0.635703i | 0.988149 | + | 0.153496i | \(0.0490533\pi\) |
−0.876058 | + | 0.482206i | \(0.839836\pi\) | |||||||
\(132\) | −11.0512 | + | 1.27846i | −0.961882 | + | 0.111275i | ||||
\(133\) | 1.69178 | + | 1.41957i | 0.146696 | + | 0.123092i | ||||
\(134\) | 0.146086 | + | 8.04102i | 0.0126199 | + | 0.694639i | ||||
\(135\) | 1.03227 | − | 9.13366i | 0.0888437 | − | 0.786100i | ||||
\(136\) | 0.988912 | + | 18.1282i | 0.0847985 | + | 1.55448i | ||||
\(137\) | 3.47834 | − | 4.14532i | 0.297174 | − | 0.354158i | −0.596709 | − | 0.802457i | \(-0.703526\pi\) |
0.893884 | + | 0.448299i | \(0.147970\pi\) | |||||||
\(138\) | 8.76721 | + | 12.2648i | 0.746315 | + | 1.04405i | ||||
\(139\) | 14.3790 | − | 2.53541i | 1.21961 | − | 0.215050i | 0.473453 | − | 0.880819i | \(-0.343007\pi\) |
0.746158 | + | 0.665769i | \(0.231896\pi\) | |||||||
\(140\) | −2.55701 | − | 0.826797i | −0.216107 | − | 0.0698771i | ||||
\(141\) | 5.98995 | + | 4.26986i | 0.504445 | + | 0.359587i | ||||
\(142\) | −0.831723 | + | 5.27561i | −0.0697966 | + | 0.442720i | ||||
\(143\) | −2.24636 | + | 3.89082i | −0.187850 | + | 0.325366i | ||||
\(144\) | 10.7108 | + | 5.41093i | 0.892569 | + | 0.450911i | ||||
\(145\) | 6.70711 | + | 11.6171i | 0.556995 | + | 0.964744i | ||||
\(146\) | −14.7792 | + | 5.68530i | −1.22314 | + | 0.470519i | ||||
\(147\) | 7.93257 | − | 7.80002i | 0.654267 | − | 0.643335i | ||||
\(148\) | −4.81065 | + | 4.34396i | −0.395433 | + | 0.357071i | ||||
\(149\) | −0.667920 | − | 0.795997i | −0.0547182 | − | 0.0652106i | 0.737991 | − | 0.674810i | \(-0.235775\pi\) |
−0.792709 | + | 0.609600i | \(0.791330\pi\) | |||||||
\(150\) | −4.43762 | − | 1.14285i | −0.362330 | − | 0.0933130i | ||||
\(151\) | 5.18707 | + | 14.2513i | 0.422117 | + | 1.15976i | 0.950493 | + | 0.310747i | \(0.100579\pi\) |
−0.528375 | + | 0.849011i | \(0.677199\pi\) | |||||||
\(152\) | 6.88724 | − | 4.49358i | 0.558629 | − | 0.364478i | ||||
\(153\) | −17.9816 | − | 6.89005i | −1.45373 | − | 0.557027i | ||||
\(154\) | −3.01847 | − | 1.67035i | −0.243235 | − | 0.134601i | ||||
\(155\) | −2.90256 | + | 16.4612i | −0.233139 | + | 1.32220i | ||||
\(156\) | 4.33324 | − | 2.16982i | 0.346937 | − | 0.173725i | ||||
\(157\) | −7.35933 | − | 2.67858i | −0.587338 | − | 0.213774i | 0.0312200 | − | 0.999513i | \(-0.490061\pi\) |
−0.618558 | + | 0.785739i | \(0.712283\pi\) | |||||||
\(158\) | 14.1033 | − | 2.75184i | 1.12200 | − | 0.218925i | ||||
\(159\) | −15.0724 | − | 7.18358i | −1.19532 | − | 0.569695i | ||||
\(160\) | −5.71042 | + | 8.21746i | −0.451448 | + | 0.649647i | ||||
\(161\) | 4.67510i | 0.368450i | ||||||||
\(162\) | −9.87606 | + | 8.02892i | −0.775936 | + | 0.630811i | ||||
\(163\) | 14.8714i | 1.16482i | 0.812897 | + | 0.582408i | \(0.197889\pi\) | ||||
−0.812897 | + | 0.582408i | \(0.802111\pi\) | |||||||
\(164\) | 7.93160 | − | 10.1818i | 0.619354 | − | 0.795069i | ||||
\(165\) | 8.88250 | + | 4.23344i | 0.691502 | + | 0.329573i | ||||
\(166\) | 1.34488 | + | 6.89260i | 0.104383 | + | 0.534969i | ||||
\(167\) | 0.956267 | + | 0.348053i | 0.0739981 | + | 0.0269331i | 0.378754 | − | 0.925497i | \(-0.376353\pi\) |
−0.304756 | + | 0.952431i | \(0.598575\pi\) | |||||||
\(168\) | 1.72630 | + | 3.29654i | 0.133187 | + | 0.254333i | ||||
\(169\) | −1.91758 | + | 10.8751i | −0.147506 | + | 0.836550i | ||||
\(170\) | 7.77503 | − | 14.0501i | 0.596318 | − | 1.07760i | ||||
\(171\) | 1.36968 | + | 8.61416i | 0.104742 | + | 0.658741i | ||||
\(172\) | −12.4011 | + | 7.77368i | −0.945578 | + | 0.592737i | ||||
\(173\) | 2.67234 | + | 7.34218i | 0.203174 | + | 0.558216i | 0.998872 | − | 0.0474772i | \(-0.0151181\pi\) |
−0.795698 | + | 0.605693i | \(0.792896\pi\) | |||||||
\(174\) | 4.63249 | − | 17.9878i | 0.351188 | − | 1.36365i | ||||
\(175\) | −0.913405 | − | 1.08855i | −0.0690469 | − | 0.0822869i | ||||
\(176\) | −9.21511 | + | 8.94981i | −0.694615 | + | 0.674617i | ||||
\(177\) | −0.522289 | + | 0.513562i | −0.0392576 | + | 0.0386016i | ||||
\(178\) | −0.298594 | − | 0.776212i | −0.0223806 | − | 0.0581795i | ||||
\(179\) | −3.90388 | − | 6.76172i | −0.291790 | − | 0.505395i | 0.682443 | − | 0.730939i | \(-0.260917\pi\) |
−0.974233 | + | 0.225544i | \(0.927584\pi\) | |||||||
\(180\) | −5.48495 | − | 9.08668i | −0.408824 | − | 0.677281i | ||||
\(181\) | 1.45395 | − | 2.51831i | 0.108071 | − | 0.187184i | −0.806918 | − | 0.590664i | \(-0.798866\pi\) |
0.914989 | + | 0.403479i | \(0.132199\pi\) | |||||||
\(182\) | 1.48445 | + | 0.234030i | 0.110035 | + | 0.0173474i | ||||
\(183\) | 11.2435 | + | 8.01478i | 0.831142 | + | 0.592470i | ||||
\(184\) | 16.6586 | + | 5.05415i | 1.22809 | + | 0.372597i | ||||
\(185\) | 5.64585 | − | 0.995515i | 0.415091 | − | 0.0731917i | ||||
\(186\) | 18.8295 | − | 13.4598i | 1.38065 | − | 0.986920i | ||||
\(187\) | 13.2504 | − | 15.7912i | 0.968963 | − | 1.15476i | ||||
\(188\) | 8.48841 | − | 0.308531i | 0.619081 | − | 0.0225019i | ||||
\(189\) | −3.93934 | + | 0.244522i | −0.286545 | + | 0.0177863i | ||||
\(190\) | −7.27236 | + | 0.132122i | −0.527593 | + | 0.00958512i | ||||
\(191\) | −12.1323 | − | 10.1802i | −0.877859 | − | 0.736611i | 0.0878785 | − | 0.996131i | \(-0.471991\pi\) |
−0.965738 | + | 0.259520i | \(0.916436\pi\) | |||||||
\(192\) | 13.6127 | − | 2.58745i | 0.982411 | − | 0.186733i | ||||
\(193\) | 2.21465 | + | 12.5599i | 0.159414 | + | 0.904083i | 0.954638 | + | 0.297767i | \(0.0962420\pi\) |
−0.795224 | + | 0.606315i | \(0.792647\pi\) | |||||||
\(194\) | 22.6040 | + | 7.76519i | 1.62287 | + | 0.557508i | ||||
\(195\) | −4.26671 | − | 0.409538i | −0.305546 | − | 0.0293276i | ||||
\(196\) | 1.76970 | − | 12.7236i | 0.126407 | − | 0.908827i | ||||
\(197\) | −6.84336 | − | 3.95102i | −0.487570 | − | 0.281498i | 0.235996 | − | 0.971754i | \(-0.424165\pi\) |
−0.723566 | + | 0.690256i | \(0.757498\pi\) | |||||||
\(198\) | −4.67692 | − | 12.7973i | −0.332374 | − | 0.909465i | ||||
\(199\) | 3.36883 | − | 1.94499i | 0.238810 | − | 0.137877i | −0.375820 | − | 0.926693i | \(-0.622639\pi\) |
0.614630 | + | 0.788816i | \(0.289306\pi\) | |||||||
\(200\) | −4.86626 | + | 2.07789i | −0.344097 | + | 0.146929i | ||||
\(201\) | −9.53534 | + | 2.46908i | −0.672571 | + | 0.174155i | ||||
\(202\) | −5.09028 | − | 5.84728i | −0.358151 | − | 0.411413i | ||||
\(203\) | 4.41242 | − | 3.70246i | 0.309691 | − | 0.259862i | ||||
\(204\) | −21.3089 | + | 6.35201i | −1.49192 | + | 0.444730i | ||||
\(205\) | −10.7272 | + | 3.90438i | −0.749220 | + | 0.272694i | ||||
\(206\) | 7.31913 | − | 4.40488i | 0.509948 | − | 0.306902i | ||||
\(207\) | −12.1054 | + | 13.9426i | −0.841380 | + | 0.969078i | ||||
\(208\) | 2.43871 | − | 5.03648i | 0.169094 | − | 0.349217i | ||||
\(209\) | −9.19538 | − | 1.62139i | −0.636057 | − | 0.112154i | ||||
\(210\) | 0.254906 | − | 3.28144i | 0.0175902 | − | 0.226441i | ||||
\(211\) | 1.32215 | − | 3.63257i | 0.0910203 | − | 0.250076i | −0.885826 | − | 0.464017i | \(-0.846408\pi\) |
0.976847 | + | 0.213941i | \(0.0686299\pi\) | |||||||
\(212\) | −18.8527 | + | 4.03534i | −1.29481 | + | 0.277148i | ||||
\(213\) | −6.52076 | + | 0.515176i | −0.446795 | + | 0.0352993i | ||||
\(214\) | −4.71502 | − | 3.81259i | −0.322312 | − | 0.260623i | ||||
\(215\) | 12.9455 | 0.882872 | ||||||||
\(216\) | −3.38743 | + | 14.3012i | −0.230486 | + | 0.973076i | ||||
\(217\) | 7.17741 | 0.487235 | ||||||||
\(218\) | −5.22512 | − | 4.22506i | −0.353890 | − | 0.286157i | ||||
\(219\) | −10.9896 | − | 15.9797i | −0.742611 | − | 1.07981i | ||||
\(220\) | 11.1103 | − | 2.37812i | 0.749057 | − | 0.160333i | ||||
\(221\) | −3.07123 | + | 8.43814i | −0.206593 | + | 0.567611i | ||||
\(222\) | −6.54682 | − | 4.48973i | −0.439394 | − | 0.301331i | ||||
\(223\) | −23.0164 | − | 4.05841i | −1.54129 | − | 0.271771i | −0.662531 | − | 0.749035i | \(-0.730518\pi\) |
−0.878760 | + | 0.477264i | \(0.841629\pi\) | |||||||
\(224\) | 3.90072 | + | 1.80205i | 0.260628 | + | 0.120405i | ||||
\(225\) | 0.0945599 | − | 5.61150i | 0.00630400 | − | 0.374100i | ||||
\(226\) | 11.0271 | − | 6.63644i | 0.733511 | − | 0.441449i | ||||
\(227\) | −9.97504 | + | 3.63062i | −0.662067 | + | 0.240973i | −0.651128 | − | 0.758968i | \(-0.725704\pi\) |
−0.0109383 | + | 0.999940i | \(0.503482\pi\) | |||||||
\(228\) | 7.31773 | + | 6.92029i | 0.484629 | + | 0.458308i | ||||
\(229\) | −5.32931 | + | 4.47182i | −0.352171 | + | 0.295506i | −0.801661 | − | 0.597779i | \(-0.796050\pi\) |
0.449490 | + | 0.893285i | \(0.351606\pi\) | |||||||
\(230\) | −10.1099 | − | 11.6134i | −0.666628 | − | 0.765766i | ||||
\(231\) | 1.12789 | − | 4.07182i | 0.0742098 | − | 0.267906i | ||||
\(232\) | −8.42266 | − | 19.7252i | −0.552975 | − | 1.29503i | ||||
\(233\) | 13.9988 | − | 8.08221i | 0.917091 | − | 0.529483i | 0.0343854 | − | 0.999409i | \(-0.489053\pi\) |
0.882706 | + | 0.469926i | \(0.155719\pi\) | |||||||
\(234\) | 3.82111 | + | 4.54167i | 0.249794 | + | 0.296898i | ||||
\(235\) | −6.50628 | − | 3.75640i | −0.424423 | − | 0.245041i | ||||
\(236\) | −0.116519 | + | 0.837734i | −0.00758474 | + | 0.0545318i | ||||
\(237\) | 7.30291 | + | 16.0120i | 0.474375 | + | 1.04009i | ||||
\(238\) | −6.52114 | − | 2.24021i | −0.422703 | − | 0.145211i | ||||
\(239\) | 3.92960 | + | 22.2858i | 0.254184 | + | 1.44155i | 0.798157 | + | 0.602449i | \(0.205808\pi\) |
−0.543973 | + | 0.839103i | \(0.683081\pi\) | |||||||
\(240\) | −11.4171 | − | 4.45579i | −0.736968 | − | 0.287620i | ||||
\(241\) | −0.165024 | − | 0.138471i | −0.0106301 | − | 0.00891972i | 0.637457 | − | 0.770486i | \(-0.279986\pi\) |
−0.648087 | + | 0.761566i | \(0.724431\pi\) | |||||||
\(242\) | −0.970582 | + | 0.0176332i | −0.0623914 | + | 0.00113350i | ||||
\(243\) | −12.3815 | − | 9.47097i | −0.794271 | − | 0.607563i | ||||
\(244\) | 15.9332 | − | 0.579130i | 1.02002 | − | 0.0370750i | ||||
\(245\) | −7.30342 | + | 8.70388i | −0.466599 | + | 0.556071i | ||||
\(246\) | 14.3907 | + | 6.54058i | 0.917515 | + | 0.417012i | ||||
\(247\) | 4.00562 | − | 0.706299i | 0.254872 | − | 0.0449407i | ||||
\(248\) | 7.75934 | − | 25.5750i | 0.492718 | − | 1.62401i | ||||
\(249\) | −7.82538 | + | 3.56908i | −0.495913 | + | 0.226181i | ||||
\(250\) | 16.9788 | + | 2.67679i | 1.07384 | + | 0.169295i | ||||
\(251\) | 11.9282 | − | 20.6602i | 0.752899 | − | 1.30406i | −0.193513 | − | 0.981098i | \(-0.561988\pi\) |
0.946412 | − | 0.322961i | \(-0.104678\pi\) | |||||||
\(252\) | −3.43352 | + | 2.99697i | −0.216292 | + | 0.188791i | ||||
\(253\) | −9.88302 | − | 17.1179i | −0.621340 | − | 1.07619i | ||||
\(254\) | 4.44609 | + | 11.5578i | 0.278973 | + | 0.725204i | ||||
\(255\) | 18.9532 | + | 5.25002i | 1.18689 | + | 0.328769i | ||||
\(256\) | 10.6382 | − | 11.9511i | 0.664885 | − | 0.746946i | ||||
\(257\) | −0.876576 | − | 1.04466i | −0.0546793 | − | 0.0651642i | 0.738012 | − | 0.674788i | \(-0.235765\pi\) |
−0.792691 | + | 0.609624i | \(0.791321\pi\) | |||||||
\(258\) | −12.7982 | − | 12.5512i | −0.796780 | − | 0.781407i | ||||
\(259\) | −0.841951 | − | 2.31324i | −0.0523163 | − | 0.143738i | ||||
\(260\) | −4.19361 | + | 2.62877i | −0.260076 | + | 0.163029i | ||||
\(261\) | 22.7460 | + | 0.383296i | 1.40795 | + | 0.0237254i | ||||
\(262\) | −5.05901 | + | 9.14205i | −0.312547 | + | 0.564798i | ||||
\(263\) | 2.98147 | − | 16.9087i | 0.183845 | − | 1.04264i | −0.743585 | − | 0.668641i | \(-0.766876\pi\) |
0.927430 | − | 0.373996i | \(-0.122013\pi\) | |||||||
\(264\) | −13.2896 | − | 8.42092i | −0.817920 | − | 0.518272i | ||||
\(265\) | 16.0242 | + | 5.83232i | 0.984357 | + | 0.358277i | ||||
\(266\) | 0.598125 | + | 3.06543i | 0.0366734 | + | 0.187953i | ||||
\(267\) | 0.839260 | − | 0.577181i | 0.0513619 | − | 0.0353229i | ||||
\(268\) | −6.98951 | + | 8.97249i | −0.426952 | + | 0.548082i | ||||
\(269\) | 8.79633i | 0.536322i | 0.963374 | + | 0.268161i | \(0.0864159\pi\) | ||||
−0.963374 | + | 0.268161i | \(0.913584\pi\) | |||||||
\(270\) | 9.25692 | − | 9.12623i | 0.563358 | − | 0.555405i | ||||
\(271\) | − | 3.18958i | − | 0.193753i | −0.995296 | − | 0.0968765i | \(-0.969115\pi\) | ||
0.995296 | − | 0.0968765i | \(-0.0308852\pi\) | |||||||
\(272\) | −15.0323 | + | 20.8147i | −0.911468 | + | 1.26207i | ||||
\(273\) | 0.144960 | + | 1.83481i | 0.00877338 | + | 0.111048i | ||||
\(274\) | 7.51113 | − | 1.46557i | 0.453764 | − | 0.0885383i | ||||
\(275\) | 5.64560 | + | 2.05483i | 0.340442 | + | 0.123911i | ||||
\(276\) | −1.26486 | + | 21.2834i | −0.0761359 | + | 1.28111i | ||||
\(277\) | 2.42778 | − | 13.7686i | 0.145871 | − | 0.827276i | −0.820793 | − | 0.571226i | \(-0.806468\pi\) |
0.966664 | − | 0.256049i | \(-0.0824210\pi\) | |||||||
\(278\) | 18.0669 | + | 9.99782i | 1.08358 | + | 0.599629i | ||||
\(279\) | 21.4053 | + | 18.5846i | 1.28150 | + | 1.11263i | ||||
\(280\) | −2.07671 | − | 3.18293i | −0.124107 | − | 0.190217i | ||||
\(281\) | −1.60512 | − | 4.41002i | −0.0957532 | − | 0.263080i | 0.882564 | − | 0.470192i | \(-0.155816\pi\) |
−0.978317 | + | 0.207113i | \(0.933593\pi\) | |||||||
\(282\) | 2.79025 | + | 10.0218i | 0.166157 | + | 0.596791i | ||||
\(283\) | −2.77680 | − | 3.30926i | −0.165063 | − | 0.196715i | 0.677172 | − | 0.735825i | \(-0.263205\pi\) |
−0.842236 | + | 0.539110i | \(0.818761\pi\) | |||||||
\(284\) | −5.60576 | + | 5.06193i | −0.332641 | + | 0.300370i | ||||
\(285\) | −2.23305 | − | 8.62384i | −0.132275 | − | 0.510832i | ||||
\(286\) | −5.93004 | + | 2.28118i | −0.350651 | + | 0.134889i | ||||
\(287\) | 2.45091 | + | 4.24511i | 0.144673 | + | 0.250581i | ||||
\(288\) | 6.96707 | + | 15.4745i | 0.410539 | + | 0.911843i | ||||
\(289\) | 12.1007 | − | 20.9590i | 0.711803 | − | 1.23288i | ||||
\(290\) | −2.95430 | + | 18.7391i | −0.173483 | + | 1.10040i | ||||
\(291\) | −2.79682 | + | 29.1383i | −0.163952 | + | 1.70812i | ||||
\(292\) | −21.3079 | − | 6.88981i | −1.24695 | − | 0.403196i | ||||
\(293\) | −11.2158 | + | 1.97765i | −0.655235 | + | 0.115536i | −0.491375 | − | 0.870948i | \(-0.663506\pi\) |
−0.163860 | + | 0.986484i | \(0.552395\pi\) | |||||||
\(294\) | 15.6592 | − | 1.52384i | 0.913262 | − | 0.0888721i | ||||
\(295\) | 0.480865 | − | 0.573073i | 0.0279970 | − | 0.0333656i | ||||
\(296\) | −9.15289 | + | 0.499299i | −0.532001 | + | 0.0290212i | ||||
\(297\) | 13.9070 | − | 9.22295i | 0.806964 | − | 0.535170i | ||||
\(298\) | −0.0266931 | − | 1.46927i | −0.00154629 | − | 0.0851123i | ||||
\(299\) | 6.59590 | + | 5.53462i | 0.381451 | + | 0.320075i | ||||
\(300\) | −3.86375 | − | 5.20275i | −0.223074 | − | 0.300381i | ||||
\(301\) | −0.965261 | − | 5.47427i | −0.0556367 | − | 0.315531i | ||||
\(302\) | −6.96831 | + | 20.2844i | −0.400981 | + | 1.16723i | ||||
\(303\) | 5.51136 | − | 7.73157i | 0.316619 | − | 0.444167i | ||||
\(304\) | 11.5695 | + | 1.18269i | 0.663558 | + | 0.0678317i | ||||
\(305\) | −12.2127 | − | 7.05099i | −0.699295 | − | 0.403738i | ||||
\(306\) | −13.6474 | − | 23.5663i | −0.780171 | − | 1.34720i | ||||
\(307\) | −18.5894 | + | 10.7326i | −1.06095 | + | 0.612541i | −0.925696 | − | 0.378269i | \(-0.876519\pi\) |
−0.135257 | + | 0.990811i | \(0.543186\pi\) | |||||||
\(308\) | −1.83407 | − | 4.52092i | −0.104506 | − | 0.257603i | ||||
\(309\) | 7.33535 | + | 7.46000i | 0.417294 | + | 0.424385i | ||||
\(310\) | −17.8294 | + | 15.5212i | −1.01264 | + | 0.881543i | ||||
\(311\) | 8.69917 | − | 7.29947i | 0.493285 | − | 0.413915i | −0.361917 | − | 0.932210i | \(-0.617878\pi\) |
0.855202 | + | 0.518295i | \(0.173433\pi\) | |||||||
\(312\) | 6.69462 | + | 1.46704i | 0.379008 | + | 0.0830548i | ||||
\(313\) | −24.1218 | + | 8.77962i | −1.36345 | + | 0.496254i | −0.917118 | − | 0.398616i | \(-0.869491\pi\) |
−0.446328 | + | 0.894870i | \(0.647268\pi\) | |||||||
\(314\) | −5.71112 | − | 9.48958i | −0.322297 | − | 0.535528i | ||||
\(315\) | 3.98103 | − | 0.632997i | 0.224305 | − | 0.0356653i | ||||
\(316\) | 17.9562 | + | 9.51468i | 1.01011 | + | 0.535243i | ||||
\(317\) | 24.5290 | + | 4.32513i | 1.37769 | + | 0.242923i | 0.812943 | − | 0.582343i | \(-0.197864\pi\) |
0.564743 | + | 0.825267i | \(0.308975\pi\) | |||||||
\(318\) | −10.1872 | − | 21.3022i | −0.571267 | − | 1.19457i | ||||
\(319\) | −8.32919 | + | 22.8843i | −0.466345 | + | 1.28127i | ||||
\(320\) | −13.5867 | + | 3.95885i | −0.759520 | + | 0.221306i | ||||
\(321\) | 3.19511 | − | 6.70390i | 0.178334 | − | 0.374175i | ||||
\(322\) | −4.15715 | + | 5.14114i | −0.231669 | + | 0.286504i | ||||
\(323\) | −18.6625 | −1.03841 | ||||||||
\(324\) | −17.9999 | + | 0.0473812i | −0.999997 | + | 0.00263229i | ||||
\(325\) | −2.61713 | −0.145172 | ||||||||
\(326\) | −13.2238 | + | 16.3538i | −0.732397 | + | 0.905754i | ||||
\(327\) | 3.54078 | − | 7.42917i | 0.195805 | − | 0.410834i | ||||
\(328\) | 17.7761 | − | 4.14396i | 0.981518 | − | 0.228812i | ||||
\(329\) | −1.10334 | + | 3.03141i | −0.0608294 | + | 0.167127i | ||||
\(330\) | 6.00352 | + | 12.5539i | 0.330483 | + | 0.691067i | ||||
\(331\) | −31.0724 | − | 5.47891i | −1.70790 | − | 0.301148i | −0.767454 | − | 0.641103i | \(-0.778477\pi\) |
−0.940442 | + | 0.339955i | \(0.889588\pi\) | |||||||
\(332\) | −4.65002 | + | 8.77556i | −0.255203 | + | 0.481621i | ||||
\(333\) | 3.47877 | − | 9.07888i | 0.190635 | − | 0.497519i | ||||
\(334\) | 0.742099 | + | 1.23307i | 0.0406059 | + | 0.0674706i | ||||
\(335\) | 9.45307 | − | 3.44064i | 0.516476 | − | 0.187982i | ||||
\(336\) | −1.03293 | + | 5.16019i | −0.0563509 | + | 0.281512i | ||||
\(337\) | 15.8413 | − | 13.2924i | 0.862929 | − | 0.724083i | −0.0996680 | − | 0.995021i | \(-0.531778\pi\) |
0.962597 | + | 0.270937i | \(0.0873336\pi\) | |||||||
\(338\) | −11.7790 | + | 10.2541i | −0.640694 | + | 0.557749i | ||||
\(339\) | 11.0515 | + | 11.2393i | 0.600236 | + | 0.610436i | ||||
\(340\) | 21.0436 | − | 8.53706i | 1.14125 | − | 0.462987i | ||||
\(341\) | −26.2801 | + | 15.1728i | −1.42315 | + | 0.821655i | ||||
\(342\) | −6.15358 | + | 10.6908i | −0.332748 | + | 0.578091i | ||||
\(343\) | 8.82994 | + | 5.09797i | 0.476772 | + | 0.275264i | ||||
\(344\) | −20.5498 | − | 2.47863i | −1.10797 | − | 0.133639i | ||||
\(345\) | 10.9462 | − | 15.3559i | 0.589326 | − | 0.826732i | ||||
\(346\) | −3.59002 | + | 10.4504i | −0.193001 | + | 0.561814i | ||||
\(347\) | −4.96431 | − | 28.1540i | −0.266498 | − | 1.51139i | −0.764734 | − | 0.644346i | \(-0.777130\pi\) |
0.498236 | − | 0.867041i | \(-0.333981\pi\) | |||||||
\(348\) | 21.0892 | − | 15.6616i | 1.13050 | − | 0.839550i | ||||
\(349\) | −11.0490 | − | 9.27121i | −0.591439 | − | 0.496276i | 0.297242 | − | 0.954802i | \(-0.403933\pi\) |
−0.888681 | + | 0.458526i | \(0.848378\pi\) | |||||||
\(350\) | −0.0365038 | − | 2.00927i | −0.00195121 | − | 0.107400i | ||||
\(351\) | −4.31860 | + | 5.84732i | −0.230510 | + | 0.312107i | ||||
\(352\) | −18.0920 | + | 1.64780i | −0.964305 | + | 0.0878278i | ||||
\(353\) | 16.3175 | − | 19.4465i | 0.868496 | − | 1.03503i | −0.130554 | − | 0.991441i | \(-0.541676\pi\) |
0.999049 | − | 0.0435915i | \(-0.0138800\pi\) | |||||||
\(354\) | −1.03102 | + | 0.100331i | −0.0547979 | + | 0.00533254i | ||||
\(355\) | 6.57900 | − | 1.16005i | 0.349177 | − | 0.0615693i | ||||
\(356\) | 0.361856 | − | 1.11910i | 0.0191783 | − | 0.0593122i | ||||
\(357\) | 0.806866 | − | 8.40623i | 0.0427039 | − | 0.444905i | ||||
\(358\) | 1.71956 | − | 10.9071i | 0.0908813 | − | 0.576460i | ||||
\(359\) | −2.61678 | + | 4.53239i | −0.138108 | + | 0.239211i | −0.926781 | − | 0.375603i | \(-0.877436\pi\) |
0.788672 | + | 0.614814i | \(0.210769\pi\) | |||||||
\(360\) | 2.04826 | − | 14.8698i | 0.107953 | − | 0.783705i | ||||
\(361\) | −5.27335 | − | 9.13371i | −0.277545 | − | 0.480721i | ||||
\(362\) | 3.83819 | − | 1.47648i | 0.201731 | − | 0.0776021i | ||||
\(363\) | −0.298027 | − | 1.15095i | −0.0156424 | − | 0.0604093i | ||||
\(364\) | 1.42432 | + | 1.57735i | 0.0746548 | + | 0.0826754i | ||||
\(365\) | 12.7318 | + | 15.1732i | 0.666414 | + | 0.794201i | ||||
\(366\) | 5.23746 | + | 18.8115i | 0.273766 | + | 0.983295i | ||||
\(367\) | 11.0968 | + | 30.4882i | 0.579247 | + | 1.59147i | 0.789452 | + | 0.613812i | \(0.210365\pi\) |
−0.210205 | + | 0.977657i | \(0.567413\pi\) | |||||||
\(368\) | 13.8250 | + | 20.3710i | 0.720679 | + | 1.06191i | ||||
\(369\) | −3.68257 | + | 19.0064i | −0.191707 | + | 0.989435i | ||||
\(370\) | 7.09387 | + | 3.92559i | 0.368793 | + | 0.204082i | ||||
\(371\) | 1.27150 | − | 7.21105i | 0.0660131 | − | 0.374379i | ||||
\(372\) | 32.6751 | + | 1.94187i | 1.69412 | + | 0.100681i | ||||
\(373\) | 13.8536 | + | 5.04230i | 0.717312 | + | 0.261080i | 0.674784 | − | 0.738015i | \(-0.264237\pi\) |
0.0425278 | + | 0.999095i | \(0.486459\pi\) | |||||||
\(374\) | 28.6129 | − | 5.58294i | 1.47954 | − | 0.288687i | ||||
\(375\) | 1.65802 | + | 20.9862i | 0.0856200 | + | 1.08372i | ||||
\(376\) | 9.60892 | + | 7.20870i | 0.495542 | + | 0.371760i | ||||
\(377\) | − | 10.6084i | − | 0.546363i | ||||||
\(378\) | −4.54946 | − | 3.23400i | −0.233999 | − | 0.166339i | ||||
\(379\) | − | 2.17390i | − | 0.111666i | −0.998440 | − | 0.0558329i | \(-0.982219\pi\) | ||
0.998440 | − | 0.0558329i | \(-0.0177814\pi\) | |||||||
\(380\) | −8.11479 | − | 6.32137i | −0.416280 | − | 0.324279i | ||||
\(381\) | −12.4966 | + | 8.59426i | −0.640222 | + | 0.440297i | ||||
\(382\) | −4.28934 | − | 21.9831i | −0.219461 | − | 1.12475i | ||||
\(383\) | −25.4781 | − | 9.27327i | −1.30187 | − | 0.473842i | −0.404265 | − | 0.914642i | \(-0.632473\pi\) |
−0.897605 | + | 0.440800i | \(0.854695\pi\) | |||||||
\(384\) | 17.2704 | + | 9.25916i | 0.881328 | + | 0.472505i | ||||
\(385\) | −0.749325 | + | 4.24963i | −0.0381891 | + | 0.216581i | ||||
\(386\) | −8.73299 | + | 15.7812i | −0.444498 | + | 0.803244i | ||||
\(387\) | 11.2959 | − | 18.8253i | 0.574204 | − | 0.956945i | ||||
\(388\) | 17.9524 | + | 28.6390i | 0.911396 | + | 1.45392i | ||||
\(389\) | −9.29522 | − | 25.5384i | −0.471286 | − | 1.29485i | −0.916719 | − | 0.399533i | \(-0.869172\pi\) |
0.445432 | − | 0.895316i | \(-0.353050\pi\) | |||||||
\(390\) | −4.32787 | − | 4.24437i | −0.219150 | − | 0.214922i | ||||
\(391\) | −25.3944 | − | 30.2639i | −1.28425 | − | 1.53051i | ||||
\(392\) | 13.2600 | − | 12.4183i | 0.669734 | − | 0.627218i | ||||
\(393\) | −12.3323 | − | 3.41605i | −0.622085 | − | 0.172317i | ||||
\(394\) | −4.01225 | − | 10.4301i | −0.202134 | − | 0.525459i | ||||
\(395\) | −8.98690 | − | 15.5658i | −0.452180 | − | 0.783199i | ||||
\(396\) | 6.23636 | − | 18.2318i | 0.313389 | − | 0.916180i | ||||
\(397\) | −4.91342 | + | 8.51029i | −0.246597 | + | 0.427119i | −0.962579 | − | 0.271000i | \(-0.912646\pi\) |
0.715982 | + | 0.698119i | \(0.245979\pi\) | |||||||
\(398\) | 5.43415 | + | 0.856717i | 0.272389 | + | 0.0429434i | ||||
\(399\) | −3.48027 | + | 1.58732i | −0.174232 | + | 0.0794654i | ||||
\(400\) | −7.19903 | − | 2.04211i | −0.359951 | − | 0.102105i | ||||
\(401\) | 8.92802 | − | 1.57425i | 0.445844 | − | 0.0786143i | 0.0537811 | − | 0.998553i | \(-0.482873\pi\) |
0.392063 | + | 0.919938i | \(0.371762\pi\) | |||||||
\(402\) | −12.6814 | − | 5.76372i | −0.632490 | − | 0.287468i | ||||
\(403\) | 8.49698 | − | 10.1263i | 0.423265 | − | 0.504427i | ||||
\(404\) | −0.398238 | − | 10.9565i | −0.0198131 | − | 0.545105i | ||||
\(405\) | 13.5117 | + | 8.42036i | 0.671401 | + | 0.418411i | ||||
\(406\) | 8.14453 | − | 0.147967i | 0.404206 | − | 0.00734348i | ||||
\(407\) | 7.97292 | + | 6.69007i | 0.395203 | + | 0.331615i | ||||
\(408\) | −29.0813 | − | 11.9629i | −1.43974 | − | 0.592249i | ||||
\(409\) | 4.97696 | + | 28.2258i | 0.246095 | + | 1.39567i | 0.817936 | + | 0.575309i | \(0.195118\pi\) |
−0.571841 | + | 0.820364i | \(0.693771\pi\) | |||||||
\(410\) | −15.2684 | − | 5.24515i | −0.754050 | − | 0.259040i | ||||
\(411\) | 3.88937 | + | 8.52762i | 0.191848 | + | 0.420636i | ||||
\(412\) | 11.9656 | + | 1.66427i | 0.589503 | + | 0.0819929i | ||||
\(413\) | −0.278191 | − | 0.160614i | −0.0136889 | − | 0.00790329i | ||||
\(414\) | −25.7100 | + | 4.56826i | −1.26358 | + | 0.224518i | ||||
\(415\) | 7.60731 | − | 4.39208i | 0.373428 | − | 0.215599i | ||||
\(416\) | 7.16030 | − | 3.37000i | 0.351063 | − | 0.165228i | ||||
\(417\) | −6.75093 | + | 24.3717i | −0.330595 | + | 1.19348i | ||||
\(418\) | −8.67025 | − | 9.95964i | −0.424076 | − | 0.487142i | ||||
\(419\) | 12.8762 | − | 10.8044i | 0.629046 | − | 0.527832i | −0.271587 | − | 0.962414i | \(-0.587548\pi\) |
0.900632 | + | 0.434582i | \(0.143104\pi\) | |||||||
\(420\) | 3.19821 | − | 3.38188i | 0.156057 | − | 0.165019i | ||||
\(421\) | 9.49415 | − | 3.45559i | 0.462716 | − | 0.168415i | −0.100134 | − | 0.994974i | \(-0.531927\pi\) |
0.562850 | + | 0.826559i | \(0.309705\pi\) | |||||||
\(422\) | 4.68406 | − | 2.81901i | 0.228016 | − | 0.137227i | ||||
\(423\) | −11.1398 | + | 6.18370i | −0.541637 | + | 0.300662i | ||||
\(424\) | −24.3203 | − | 12.3264i | −1.18110 | − | 0.598623i | ||||
\(425\) | 11.8257 | + | 2.08519i | 0.573630 | + | 0.101146i | ||||
\(426\) | −7.62888 | − | 5.23180i | −0.369620 | − | 0.253482i | ||||
\(427\) | −2.07104 | + | 5.69014i | −0.100225 | + | 0.275365i | ||||
\(428\) | −1.79484 | − | 8.38529i | −0.0867568 | − | 0.405319i | ||||
\(429\) | −4.40950 | − | 6.41172i | −0.212893 | − | 0.309561i | ||||
\(430\) | 14.2359 | + | 11.5112i | 0.686516 | + | 0.555121i | ||||
\(431\) | 27.3550 | 1.31764 | 0.658822 | − | 0.752299i | \(-0.271055\pi\) | ||||
0.658822 | + | 0.752299i | \(0.271055\pi\) | |||||||
\(432\) | −16.4419 | + | 12.7147i | −0.791062 | + | 0.611736i | ||||
\(433\) | −8.86214 | −0.425887 | −0.212944 | − | 0.977065i | \(-0.568305\pi\) | ||||
−0.212944 | + | 0.977065i | \(0.568305\pi\) | |||||||
\(434\) | 7.89289 | + | 6.38223i | 0.378871 | + | 0.306357i | ||||
\(435\) | −23.1619 | + | 1.82992i | −1.11053 | + | 0.0877379i | ||||
\(436\) | −1.98902 | − | 9.29247i | −0.0952566 | − | 0.445028i | ||||
\(437\) | −6.12040 | + | 16.8157i | −0.292779 | + | 0.804402i | ||||
\(438\) | 2.12417 | − | 27.3447i | 0.101497 | − | 1.30658i | ||||
\(439\) | 24.2876 | + | 4.28256i | 1.15918 | + | 0.204395i | 0.719982 | − | 0.693993i | \(-0.244150\pi\) |
0.439202 | + | 0.898388i | \(0.355261\pi\) | |||||||
\(440\) | 14.3325 | + | 7.26422i | 0.683274 | + | 0.346308i | ||||
\(441\) | 6.28440 | + | 18.2155i | 0.299257 | + | 0.867404i | ||||
\(442\) | −10.8807 | + | 6.54832i | −0.517540 | + | 0.311472i | ||||
\(443\) | 11.7116 | − | 4.26266i | 0.556433 | − | 0.202525i | −0.0484697 | − | 0.998825i | \(-0.515434\pi\) |
0.604902 | + | 0.796300i | \(0.293212\pi\) | |||||||
\(444\) | −3.20711 | − | 10.7588i | −0.152203 | − | 0.510589i | ||||
\(445\) | −0.796903 | + | 0.668681i | −0.0377768 | + | 0.0316985i | ||||
\(446\) | −21.7020 | − | 24.9294i | −1.02762 | − | 1.18044i | ||||
\(447\) | 1.74231 | − | 0.451153i | 0.0824084 | − | 0.0213388i | ||||
\(448\) | 2.68716 | + | 5.45025i | 0.126956 | + | 0.257500i | ||||
\(449\) | −30.7560 | + | 17.7570i | −1.45146 | + | 0.838003i | −0.998565 | − | 0.0535589i | \(-0.982944\pi\) |
−0.452899 | + | 0.891562i | \(0.649610\pi\) | |||||||
\(450\) | 5.09379 | − | 6.08679i | 0.240124 | − | 0.286934i | ||||
\(451\) | −17.9480 | − | 10.3623i | −0.845140 | − | 0.487942i | ||||
\(452\) | 18.0275 | + | 2.50741i | 0.847942 | + | 0.117939i | ||||
\(453\) | −26.1480 | − | 2.50980i | −1.22854 | − | 0.117921i | ||||
\(454\) | −14.1978 | − | 4.87738i | −0.666335 | − | 0.228907i | ||||
\(455\) | −0.326416 | − | 1.85119i | −0.0153026 | − | 0.0867853i | ||||
\(456\) | 1.89360 | + | 14.1171i | 0.0886757 | + | 0.661096i | ||||
\(457\) | 12.8012 | + | 10.7415i | 0.598816 | + | 0.502467i | 0.891065 | − | 0.453876i | \(-0.149959\pi\) |
−0.292249 | + | 0.956342i | \(0.594403\pi\) | |||||||
\(458\) | −9.83695 | + | 0.178714i | −0.459651 | + | 0.00835077i | ||||
\(459\) | 24.1727 | − | 22.9807i | 1.12829 | − | 1.07265i | ||||
\(460\) | −0.790951 | − | 21.7609i | −0.0368783 | − | 1.01461i | ||||
\(461\) | 4.70721 | − | 5.60984i | 0.219237 | − | 0.261276i | −0.645205 | − | 0.764010i | \(-0.723228\pi\) |
0.864441 | + | 0.502734i | \(0.167672\pi\) | |||||||
\(462\) | 4.86103 | − | 3.47478i | 0.226156 | − | 0.161662i | ||||
\(463\) | −14.7017 | + | 2.59231i | −0.683246 | + | 0.120475i | −0.504489 | − | 0.863418i | \(-0.668319\pi\) |
−0.178758 | + | 0.983893i | \(0.557208\pi\) | |||||||
\(464\) | 8.27762 | − | 29.1811i | 0.384279 | − | 1.35470i | ||||
\(465\) | −23.5750 | − | 16.8051i | −1.09326 | − | 0.779319i | ||||
\(466\) | 22.5810 | + | 3.56000i | 1.04605 | + | 0.164914i | ||||
\(467\) | −15.8668 | + | 27.4821i | −0.734227 | + | 1.27172i | 0.220834 | + | 0.975311i | \(0.429122\pi\) |
−0.955062 | + | 0.296408i | \(0.904211\pi\) | |||||||
\(468\) | 0.163515 | + | 8.39217i | 0.00755849 | + | 0.387928i | ||||
\(469\) | −2.15980 | − | 3.74089i | −0.0997305 | − | 0.172738i | ||||
\(470\) | −3.81462 | − | 9.91631i | −0.175955 | − | 0.457405i | ||||
\(471\) | 9.67222 | − | 9.51061i | 0.445672 | − | 0.438226i | ||||
\(472\) | −0.873055 | + | 0.817632i | −0.0401856 | + | 0.0376346i | ||||
\(473\) | 15.1067 | + | 18.0035i | 0.694608 | + | 0.827802i | ||||
\(474\) | −6.20711 | + | 24.1019i | −0.285102 | + | 1.10704i | ||||
\(475\) | −1.86031 | − | 5.11115i | −0.0853567 | − | 0.234516i | ||||
\(476\) | −5.17917 | − | 8.26219i | −0.237387 | − | 0.378697i | ||||
\(477\) | 22.4637 | − | 18.2132i | 1.02854 | − | 0.833927i | ||||
\(478\) | −15.4955 | + | 28.0016i | −0.708747 | + | 1.28076i | ||||
\(479\) | −2.34547 | + | 13.3018i | −0.107167 | + | 0.607775i | 0.883165 | + | 0.469062i | \(0.155408\pi\) |
−0.990333 | + | 0.138713i | \(0.955703\pi\) | |||||||
\(480\) | −8.59302 | − | 15.0521i | −0.392216 | − | 0.687032i | ||||
\(481\) | −4.26039 | − | 1.55066i | −0.194257 | − | 0.0707038i | ||||
\(482\) | −0.0583438 | − | 0.299015i | −0.00265749 | − | 0.0136198i | ||||
\(483\) | −7.30975 | − | 3.48387i | −0.332605 | − | 0.158521i | ||||
\(484\) | −1.08301 | − | 0.843661i | −0.0492279 | − | 0.0383482i | ||||
\(485\) | − | 29.8960i | − | 1.35751i | ||||||
\(486\) | −5.19401 | − | 21.4248i | −0.235605 | − | 0.971849i | ||||
\(487\) | − | 21.1864i | − | 0.960045i | −0.877256 | − | 0.480023i | \(-0.840628\pi\) | ||
0.877256 | − | 0.480023i | \(-0.159372\pi\) | |||||||
\(488\) | 18.0365 | + | 13.5311i | 0.816474 | + | 0.612526i | ||||
\(489\) | −23.2521 | − | 11.0821i | −1.05150 | − | 0.501149i | ||||
\(490\) | −15.7710 | + | 3.07724i | −0.712463 | + | 0.139016i | ||||
\(491\) | 18.5924 | + | 6.76707i | 0.839062 | + | 0.305394i | 0.725573 | − | 0.688145i | \(-0.241575\pi\) |
0.113490 | + | 0.993539i | \(0.463797\pi\) | |||||||
\(492\) | 10.0092 | + | 19.9889i | 0.451251 | + | 0.901169i | ||||
\(493\) | −8.45225 | + | 47.9351i | −0.380670 | + | 2.15889i | ||||
\(494\) | 5.03297 | + | 2.78513i | 0.226444 | + | 0.125309i | ||||
\(495\) | −13.2384 | + | 10.7335i | −0.595021 | + | 0.482434i | ||||
\(496\) | 31.2744 | − | 21.2247i | 1.40426 | − | 0.953019i | ||||
\(497\) | −0.981109 | − | 2.69557i | −0.0440087 | − | 0.120913i | ||||
\(498\) | −11.7791 | − | 3.03354i | −0.527834 | − | 0.135936i | ||||
\(499\) | 18.9238 | + | 22.5525i | 0.847146 | + | 1.00959i | 0.999773 | + | 0.0213055i | \(0.00678228\pi\) |
−0.152627 | + | 0.988284i | \(0.548773\pi\) | |||||||
\(500\) | 16.2911 | + | 18.0414i | 0.728562 | + | 0.806835i | ||||
\(501\) | −1.25680 | + | 1.23580i | −0.0561498 | + | 0.0552116i | ||||
\(502\) | 31.4884 | − | 12.1130i | 1.40540 | − | 0.540631i | ||||
\(503\) | 15.3565 | + | 26.5983i | 0.684714 | + | 1.18596i | 0.973527 | + | 0.228574i | \(0.0734063\pi\) |
−0.288812 | + | 0.957386i | \(0.593260\pi\) | |||||||
\(504\) | −6.44072 | + | 0.242591i | −0.286893 | + | 0.0108059i | ||||
\(505\) | −4.84861 | + | 8.39803i | −0.215760 | + | 0.373707i | ||||
\(506\) | 4.35321 | − | 27.6124i | 0.193524 | − | 1.22752i | ||||
\(507\) | −15.5748 | − | 11.1023i | −0.691703 | − | 0.493072i | ||||
\(508\) | −5.38806 | + | 16.6635i | −0.239057 | + | 0.739323i | ||||
\(509\) | 13.2428 | − | 2.33506i | 0.586977 | − | 0.103500i | 0.127731 | − | 0.991809i | \(-0.459231\pi\) |
0.459246 | + | 0.888309i | \(0.348120\pi\) | |||||||
\(510\) | 16.1741 | + | 22.6267i | 0.716203 | + | 1.00193i | ||||
\(511\) | 5.46698 | − | 6.51530i | 0.241845 | − | 0.288220i | ||||
\(512\) | 22.3257 | − | 3.68292i | 0.986665 | − | 0.162763i | ||||
\(513\) | −14.4893 | − | 4.27767i | −0.639720 | − | 0.188864i | ||||
\(514\) | −0.0350319 | − | 1.92826i | −0.00154519 | − | 0.0850518i | ||||
\(515\) | −8.18537 | − | 6.86834i | −0.360690 | − | 0.302655i | ||||
\(516\) | −2.91326 | − | 25.1827i | −0.128249 | − | 1.10861i | ||||
\(517\) | −2.36842 | − | 13.4320i | −0.104163 | − | 0.590737i | ||||
\(518\) | 1.13108 | − | 3.29250i | 0.0496967 | − | 0.144664i | ||||
\(519\) | −13.4713 | − | 1.29303i | −0.591323 | − | 0.0567578i | ||||
\(520\) | −6.94917 | − | 0.838180i | −0.304741 | − | 0.0367566i | ||||
\(521\) | 9.44955 | + | 5.45570i | 0.413992 | + | 0.239018i | 0.692504 | − | 0.721414i | \(-0.256508\pi\) |
−0.278511 | + | 0.960433i | \(0.589841\pi\) | |||||||
\(522\) | 24.6726 | + | 20.6475i | 1.07989 | + | 0.903718i | ||||
\(523\) | 16.1086 | − | 9.30028i | 0.704378 | − | 0.406673i | −0.104598 | − | 0.994515i | \(-0.533356\pi\) |
0.808976 | + | 0.587842i | \(0.200022\pi\) | |||||||
\(524\) | −13.6925 | + | 5.55484i | −0.598161 | + | 0.242665i | ||||
\(525\) | 2.38267 | − | 0.616968i | 0.103988 | − | 0.0269267i | ||||
\(526\) | 18.3141 | − | 15.9431i | 0.798532 | − | 0.695153i | ||||
\(527\) | −46.4624 | + | 38.9865i | −2.02393 | + | 1.69828i | ||||
\(528\) | −7.12641 | − | 21.0776i | −0.310137 | − | 0.917286i | ||||
\(529\) | −13.9843 | + | 5.08986i | −0.608012 | + | 0.221298i | ||||
\(530\) | 12.4354 | + | 20.6626i | 0.540158 | + | 0.897525i | ||||
\(531\) | −0.413772 | − | 1.19933i | −0.0179562 | − | 0.0520464i | ||||
\(532\) | −2.06806 | + | 3.90286i | −0.0896618 | + | 0.169210i | ||||
\(533\) | 8.89075 | + | 1.56768i | 0.385101 | + | 0.0679037i | ||||
\(534\) | 1.43616 | + | 0.111562i | 0.0621486 | + | 0.00482778i | ||||
\(535\) | −2.59410 | + | 7.12723i | −0.112153 | + | 0.308137i | ||||
\(536\) | −15.6647 | + | 3.65176i | −0.676611 | + | 0.157732i | ||||
\(537\) | 13.4814 | − | 1.06511i | 0.581767 | − | 0.0459628i | ||||
\(538\) | −7.82179 | + | 9.67319i | −0.337221 | + | 0.417041i | ||||
\(539\) | −20.6274 | −0.888486 | ||||||||
\(540\) | 18.2948 | − | 1.80463i | 0.787284 | − | 0.0776589i | ||||
\(541\) | 16.5311 | 0.710730 | 0.355365 | − | 0.934728i | \(-0.384357\pi\) | ||||
0.355365 | + | 0.934728i | \(0.384357\pi\) | |||||||
\(542\) | 2.83620 | − | 3.50753i | 0.121825 | − | 0.150661i | ||||
\(543\) | 2.85402 | + | 4.14995i | 0.122478 | + | 0.178091i | ||||
\(544\) | −35.0394 | + | 9.52267i | −1.50230 | + | 0.408281i | ||||
\(545\) | −2.87475 | + | 7.89830i | −0.123141 | + | 0.338326i | ||||
\(546\) | −1.47212 | + | 2.14661i | −0.0630010 | + | 0.0918665i | ||||
\(547\) | 9.59158 | + | 1.69125i | 0.410106 | + | 0.0723128i | 0.374895 | − | 0.927067i | \(-0.377679\pi\) |
0.0352109 | + | 0.999380i | \(0.488790\pi\) | |||||||
\(548\) | 9.56307 | + | 5.06731i | 0.408514 | + | 0.216465i | ||||
\(549\) | −20.9101 | + | 11.6072i | −0.892421 | + | 0.495382i | ||||
\(550\) | 4.38120 | + | 7.27979i | 0.186815 | + | 0.310411i | ||||
\(551\) | 20.7179 | − | 7.54069i | 0.882612 | − | 0.321244i | ||||
\(552\) | −20.3163 | + | 22.2802i | −0.864720 | + | 0.948310i | ||||
\(553\) | −5.91223 | + | 4.96095i | −0.251413 | + | 0.210961i | ||||
\(554\) | 14.9130 | − | 12.9823i | 0.633592 | − | 0.551566i | ||||
\(555\) | −2.65072 | + | 9.56941i | −0.112517 | + | 0.406199i | ||||
\(556\) | 10.9777 | + | 27.0597i | 0.465558 | + | 1.14759i | ||||
\(557\) | −16.9093 | + | 9.76261i | −0.716471 | + | 0.413655i | −0.813453 | − | 0.581631i | \(-0.802415\pi\) |
0.0969812 | + | 0.995286i | \(0.469081\pi\) | |||||||
\(558\) | 7.01338 | + | 39.4710i | 0.296900 | + | 1.67094i | ||||
\(559\) | −8.86613 | − | 5.11886i | −0.374997 | − | 0.216505i | ||||
\(560\) | 0.546577 | − | 5.34685i | 0.0230971 | − | 0.225946i | ||||
\(561\) | 14.8162 | + | 32.4851i | 0.625538 | + | 1.37152i | ||||
\(562\) | 2.15631 | − | 6.27691i | 0.0909586 | − | 0.264776i | ||||
\(563\) | −0.00844444 | − | 0.0478908i | −0.000355891 | − | 0.00201836i | 0.984629 | − | 0.174657i | \(-0.0558817\pi\) |
−0.984985 | + | 0.172639i | \(0.944771\pi\) | |||||||
\(564\) | −5.84312 | + | 13.5020i | −0.246040 | + | 0.568535i | ||||
\(565\) | −12.3322 | − | 10.3479i | −0.518818 | − | 0.435340i | ||||
\(566\) | −0.110973 | − | 6.10829i | −0.00466456 | − | 0.256751i | ||||
\(567\) | 2.55325 | − | 6.34156i | 0.107227 | − | 0.266321i | ||||
\(568\) | −10.6657 | + | 0.581823i | −0.447522 | + | 0.0244128i | ||||
\(569\) | 14.3594 | − | 17.1129i | 0.601978 | − | 0.717409i | −0.375883 | − | 0.926667i | \(-0.622660\pi\) |
0.977860 | + | 0.209258i | \(0.0671049\pi\) | |||||||
\(570\) | 5.21275 | − | 11.4692i | 0.218338 | − | 0.480390i | ||||
\(571\) | −7.54185 | + | 1.32983i | −0.315617 | + | 0.0556518i | −0.329213 | − | 0.944256i | \(-0.606783\pi\) |
0.0135958 | + | 0.999908i | \(0.495672\pi\) | |||||||
\(572\) | −8.54962 | − | 2.76448i | −0.357478 | − | 0.115589i | ||||
\(573\) | 24.9581 | − | 11.3832i | 1.04264 | − | 0.475538i | ||||
\(574\) | −1.07956 | + | 6.84765i | −0.0450601 | + | 0.285816i | ||||
\(575\) | 5.75711 | − | 9.97161i | 0.240088 | − | 0.415845i | ||||
\(576\) | −6.09850 | + | 23.2122i | −0.254104 | + | 0.967177i | ||||
\(577\) | −0.594755 | − | 1.03015i | −0.0247600 | − | 0.0428855i | 0.853380 | − | 0.521289i | \(-0.174549\pi\) |
−0.878140 | + | 0.478404i | \(0.841215\pi\) | |||||||
\(578\) | 31.9438 | − | 12.2882i | 1.32869 | − | 0.511122i | ||||
\(579\) | −21.2884 | − | 5.89687i | −0.884715 | − | 0.245066i | ||||
\(580\) | −19.9118 | + | 17.9801i | −0.826793 | + | 0.746584i | ||||
\(581\) | −2.42452 | − | 2.88943i | −0.100586 | − | 0.119874i | ||||
\(582\) | −28.9857 | + | 29.5559i | −1.20149 | + | 1.22513i | ||||
\(583\) | 10.5883 | + | 29.0912i | 0.438524 | + | 1.20483i | ||||
\(584\) | −17.3055 | − | 26.5238i | −0.716106 | − | 1.09756i | ||||
\(585\) | 3.81987 | − | 6.36603i | 0.157932 | − | 0.263203i | ||||
\(586\) | −14.0924 | − | 7.79843i | −0.582152 | − | 0.322150i | ||||
\(587\) | −2.07929 | + | 11.7922i | −0.0858214 | + | 0.486717i | 0.911355 | + | 0.411621i | \(0.135037\pi\) |
−0.997176 | + | 0.0750959i | \(0.976074\pi\) | |||||||
\(588\) | 18.5752 | + | 12.2486i | 0.766027 | + | 0.505122i | ||||
\(589\) | 25.8161 | + | 9.39629i | 1.06373 | + | 0.387168i | ||||
\(590\) | 1.03838 | − | 0.202609i | 0.0427495 | − | 0.00834127i | ||||
\(591\) | 11.2773 | − | 7.75565i | 0.463884 | − | 0.319025i | ||||
\(592\) | −10.5093 | − | 7.58977i | −0.431928 | − | 0.311938i | ||||
\(593\) | − | 33.8346i | − | 1.38942i | −0.719290 | − | 0.694710i | \(-0.755533\pi\) | ||
0.719290 | − | 0.694710i | \(-0.244467\pi\) | |||||||
\(594\) | 23.4944 | + | 2.22389i | 0.963988 | + | 0.0912475i | ||||
\(595\) | 8.62484i | 0.353584i | ||||||||
\(596\) | 1.27713 | − | 1.63946i | 0.0523134 | − | 0.0671551i | ||||
\(597\) | 0.530658 | + | 6.71672i | 0.0217184 | + | 0.274897i | ||||
\(598\) | 2.33197 | + | 11.9515i | 0.0953613 | + | 0.488732i | ||||
\(599\) | −4.43045 | − | 1.61255i | −0.181023 | − | 0.0658871i | 0.249918 | − | 0.968267i | \(-0.419596\pi\) |
−0.430942 | + | 0.902380i | \(0.641818\pi\) | |||||||
\(600\) | 0.377432 | − | 9.15707i | 0.0154086 | − | 0.373836i | ||||
\(601\) | 2.90395 | − | 16.4691i | 0.118455 | − | 0.671790i | −0.866527 | − | 0.499131i | \(-0.833653\pi\) |
0.984982 | − | 0.172660i | \(-0.0552361\pi\) | |||||||
\(602\) | 3.80629 | − | 6.87828i | 0.155133 | − | 0.280338i | ||||
\(603\) | 3.24517 | − | 16.7489i | 0.132153 | − | 0.682069i | ||||
\(604\) | −25.7000 | + | 16.1101i | −1.04572 | + | 0.655511i | ||||
\(605\) | 0.415298 | + | 1.14102i | 0.0168843 | + | 0.0463891i | ||||
\(606\) | 12.9357 | − | 3.60153i | 0.525479 | − | 0.146302i | ||||
\(607\) | 16.3490 | + | 19.4839i | 0.663584 | + | 0.790828i | 0.987895 | − | 0.155122i | \(-0.0495770\pi\) |
−0.324311 | + | 0.945950i | \(0.605133\pi\) | |||||||
\(608\) | 11.6712 | + | 11.5883i | 0.473329 | + | 0.469969i | ||||
\(609\) | 2.50086 | + | 9.65808i | 0.101340 | + | 0.391365i | ||||
\(610\) | −7.16026 | − | 18.6135i | −0.289911 | − | 0.753638i | ||||
\(611\) | 2.97070 | + | 5.14540i | 0.120182 | + | 0.208161i | ||||
\(612\) | 5.94758 | − | 38.0509i | 0.240417 | − | 1.53812i | ||||
\(613\) | 23.0173 | − | 39.8671i | 0.929658 | − | 1.61022i | 0.145765 | − | 0.989319i | \(-0.453436\pi\) |
0.783893 | − | 0.620896i | \(-0.213231\pi\) | |||||||
\(614\) | −29.9860 | − | 4.72742i | −1.21014 | − | 0.190783i | ||||
\(615\) | 1.88917 | − | 19.6820i | 0.0761786 | − | 0.793656i | ||||
\(616\) | 2.00315 | − | 6.60245i | 0.0807093 | − | 0.266020i | ||||
\(617\) | −0.162348 | + | 0.0286264i | −0.00653590 | + | 0.00115246i | −0.176915 | − | 0.984226i | \(-0.556612\pi\) |
0.170379 | + | 0.985379i | \(0.445501\pi\) | |||||||
\(618\) | 1.43306 | + | 14.7263i | 0.0576461 | + | 0.592379i | ||||
\(619\) | 8.86726 | − | 10.5676i | 0.356405 | − | 0.424747i | −0.557815 | − | 0.829965i | \(-0.688360\pi\) |
0.914220 | + | 0.405218i | \(0.132805\pi\) | |||||||
\(620\) | −33.4083 | + | 1.21430i | −1.34171 | + | 0.0487675i | ||||
\(621\) | −12.7791 | − | 29.3173i | −0.512807 | − | 1.17646i | ||||
\(622\) | 16.0571 | − | 0.291720i | 0.643831 | − | 0.0116969i | ||||
\(623\) | 0.342186 | + | 0.287129i | 0.0137094 | + | 0.0115036i | ||||
\(624\) | 6.05746 | + | 7.56621i | 0.242492 | + | 0.302891i | ||||
\(625\) | −2.10920 | − | 11.9619i | −0.0843681 | − | 0.478475i | ||||
\(626\) | −34.3333 | − | 11.7946i | −1.37224 | − | 0.471405i | ||||
\(627\) | 9.38747 | − | 13.1692i | 0.374900 | − | 0.525926i | ||||
\(628\) | 2.15780 | − | 15.5139i | 0.0861058 | − | 0.619073i | ||||
\(629\) | 18.0154 | + | 10.4012i | 0.718322 | + | 0.414724i | ||||
\(630\) | 4.94074 | + | 2.84387i | 0.196844 | + | 0.113303i | ||||
\(631\) | 28.8999 | − | 16.6854i | 1.15049 | − | 0.664234i | 0.201481 | − | 0.979492i | \(-0.435425\pi\) |
0.949006 | + | 0.315259i | \(0.102091\pi\) | |||||||
\(632\) | 11.2856 | + | 26.4300i | 0.448916 | + | 1.05133i | ||||
\(633\) | 4.69444 | + | 4.77421i | 0.186587 | + | 0.189758i | ||||
\(634\) | 23.1282 | + | 26.5677i | 0.918539 | + | 1.05514i | ||||
\(635\) | 11.8659 | − | 9.95671i | 0.470885 | − | 0.395120i | ||||
\(636\) | 7.73947 | − | 32.4842i | 0.306890 | − | 1.28808i | ||||
\(637\) | 8.44367 | − | 3.07324i | 0.334550 | − | 0.121766i | ||||
\(638\) | −29.5084 | + | 17.7591i | −1.16825 | + | 0.703088i | ||||
\(639\) | 4.05374 | − | 10.5794i | 0.160363 | − | 0.418516i | ||||
\(640\) | −18.4613 | − | 7.72795i | −0.729748 | − | 0.305474i | ||||
\(641\) | −44.1736 | − | 7.78900i | −1.74475 | − | 0.307647i | −0.791803 | − | 0.610776i | \(-0.790858\pi\) |
−0.952949 | + | 0.303129i | \(0.901969\pi\) | |||||||
\(642\) | 9.47479 | − | 4.53104i | 0.373940 | − | 0.178826i | ||||
\(643\) | 9.50479 | − | 26.1142i | 0.374832 | − | 1.02984i | −0.598636 | − | 0.801021i | \(-0.704290\pi\) |
0.973468 | − | 0.228822i | \(-0.0734874\pi\) | |||||||
\(644\) | −9.14311 | + | 1.95705i | −0.360289 | + | 0.0771184i | ||||
\(645\) | −9.64689 | + | 20.2408i | −0.379846 | + | 0.796982i | ||||
\(646\) | −20.5228 | − | 16.5948i | −0.807459 | − | 0.652916i | ||||
\(647\) | −29.6395 | −1.16525 | −0.582624 | − | 0.812742i | \(-0.697974\pi\) | ||||
−0.582624 | + | 0.812742i | \(0.697974\pi\) | |||||||
\(648\) | −19.8364 | − | 15.9536i | −0.779246 | − | 0.626718i | ||||
\(649\) | 1.35813 | 0.0533113 | ||||||||
\(650\) | −2.87801 | − | 2.32718i | −0.112885 | − | 0.0912793i | ||||
\(651\) | −5.34857 | + | 11.2222i | −0.209627 | + | 0.439834i | ||||
\(652\) | −29.0839 | + | 6.22531i | −1.13902 | + | 0.243802i | ||||
\(653\) | 3.24289 | − | 8.90976i | 0.126904 | − | 0.348666i | −0.859928 | − | 0.510416i | \(-0.829492\pi\) |
0.986832 | + | 0.161750i | \(0.0517138\pi\) | |||||||
\(654\) | 10.4998 | − | 5.02124i | 0.410576 | − | 0.196346i | ||||
\(655\) | 12.8709 | + | 2.26949i | 0.502907 | + | 0.0886762i | ||||
\(656\) | 23.2329 | + | 11.2496i | 0.907092 | + | 0.439223i | ||||
\(657\) | 33.1744 | − | 5.27485i | 1.29426 | − | 0.205791i | ||||
\(658\) | −3.90890 | + | 2.35249i | −0.152385 | + | 0.0917097i | ||||
\(659\) | −39.0039 | + | 14.1963i | −1.51938 | + | 0.553008i | −0.960993 | − | 0.276573i | \(-0.910801\pi\) |
−0.558385 | + | 0.829582i | \(0.688579\pi\) | |||||||
\(660\) | −4.56105 | + | 19.1437i | −0.177538 | + | 0.745166i | ||||
\(661\) | −1.13289 | + | 0.950604i | −0.0440642 | + | 0.0369742i | −0.664554 | − | 0.747240i | \(-0.731378\pi\) |
0.620490 | + | 0.784215i | \(0.286934\pi\) | |||||||
\(662\) | −29.2980 | − | 33.6550i | −1.13870 | − | 1.30804i | ||||
\(663\) | −10.9048 | − | 11.0901i | −0.423506 | − | 0.430703i | ||||
\(664\) | −12.9169 | + | 5.51550i | −0.501272 | + | 0.214043i | ||||
\(665\) | 3.38329 | − | 1.95334i | 0.131198 | − | 0.0757474i | ||||
\(666\) | 11.8986 | − | 6.89054i | 0.461060 | − | 0.267003i | ||||
\(667\) | 40.4196 | + | 23.3363i | 1.56505 | + | 0.903584i | ||||
\(668\) | −0.280384 | + | 2.01587i | −0.0108484 | + | 0.0779963i | ||||
\(669\) | 23.4972 | − | 32.9629i | 0.908455 | − | 1.27442i | ||||
\(670\) | 13.4548 | + | 4.62215i | 0.519806 | + | 0.178569i | ||||
\(671\) | −4.44566 | − | 25.2126i | −0.171623 | − | 0.973320i | ||||
\(672\) | −5.72439 | + | 4.75609i | −0.220823 | + | 0.183470i | ||||
\(673\) | −6.61457 | − | 5.55028i | −0.254973 | − | 0.213948i | 0.506337 | − | 0.862335i | \(-0.330999\pi\) |
−0.761310 | + | 0.648388i | \(0.775444\pi\) | |||||||
\(674\) | 29.2401 | − | 0.531224i | 1.12629 | − | 0.0204620i | ||||
\(675\) | 8.70339 | + | 4.32951i | 0.334994 | + | 0.166643i | ||||
\(676\) | −22.0712 | + | 0.802230i | −0.848894 | + | 0.0308550i | ||||
\(677\) | −16.1671 | + | 19.2672i | −0.621353 | + | 0.740499i | −0.981302 | − | 0.192472i | \(-0.938349\pi\) |
0.359950 | + | 0.932972i | \(0.382794\pi\) | |||||||
\(678\) | 2.15906 | + | 22.1868i | 0.0829183 | + | 0.852080i | ||||
\(679\) | −12.6422 | + | 2.22916i | −0.485163 | + | 0.0855473i | ||||
\(680\) | 30.7325 | + | 9.32411i | 1.17854 | + | 0.357563i | ||||
\(681\) | 1.75670 | − | 18.3020i | 0.0673170 | − | 0.701333i | ||||
\(682\) | −42.3916 | − | 6.68323i | −1.62326 | − | 0.255914i | ||||
\(683\) | −10.1910 | + | 17.6513i | −0.389948 | + | 0.675409i | −0.992442 | − | 0.122714i | \(-0.960840\pi\) |
0.602494 | + | 0.798123i | \(0.294174\pi\) | |||||||
\(684\) | −16.2734 | + | 6.28466i | −0.622227 | + | 0.240300i | ||||
\(685\) | −4.78622 | − | 8.28998i | −0.182872 | − | 0.316744i | ||||
\(686\) | 5.17698 | + | 13.4578i | 0.197658 | + | 0.513822i | ||||
\(687\) | −3.02054 | − | 11.6650i | −0.115241 | − | 0.445048i | ||||
\(688\) | −20.3942 | − | 20.9988i | −0.777523 | − | 0.800571i | ||||
\(689\) | −8.66849 | − | 10.3307i | −0.330243 | − | 0.393569i | ||||
\(690\) | 25.6920 | − | 7.15309i | 0.978077 | − | 0.272314i | ||||
\(691\) | −10.6380 | − | 29.2276i | −0.404688 | − | 1.11187i | −0.959944 | − | 0.280192i | \(-0.909602\pi\) |
0.555256 | − | 0.831679i | \(-0.312620\pi\) | |||||||
\(692\) | −13.2404 | + | 8.29980i | −0.503326 | + | 0.315511i | ||||
\(693\) | 5.52599 | + | 4.79781i | 0.209915 | + | 0.182254i | ||||
\(694\) | 19.5757 | − | 35.3748i | 0.743082 | − | 1.34281i | ||||
\(695\) | 4.48504 | − | 25.4360i | 0.170127 | − | 0.964841i | ||||
\(696\) | 37.1179 | + | 1.52991i | 1.40695 | + | 0.0579911i | ||||
\(697\) | −38.9245 | − | 14.1674i | −1.47437 | − | 0.536627i | ||||
\(698\) | −3.90635 | − | 20.0203i | −0.147858 | − | 0.757779i | ||||
\(699\) | 2.20509 | + | 27.9106i | 0.0834042 | + | 1.05568i | ||||
\(700\) | 1.74652 | − | 2.24203i | 0.0660124 | − | 0.0847406i | ||||
\(701\) | 6.46847i | 0.244311i | 0.992511 | + | 0.122155i | \(0.0389806\pi\) | ||||
−0.992511 | + | 0.122155i | \(0.961019\pi\) | |||||||
\(702\) | −9.94859 | + | 2.59006i | −0.375485 | + | 0.0977555i | ||||
\(703\) | − | 9.42262i | − | 0.355381i | ||||||
\(704\) | −21.3607 | − | 14.2755i | −0.805061 | − | 0.538029i | ||||
\(705\) | 10.7218 | − | 7.37363i | 0.403805 | − | 0.277707i | ||||
\(706\) | 35.2362 | − | 6.87527i | 1.32613 | − | 0.258754i | ||||
\(707\) | 3.91282 | + | 1.42415i | 0.147157 | + | 0.0535607i | ||||
\(708\) | −1.22301 | − | 0.806458i | −0.0459635 | − | 0.0303085i | ||||
\(709\) | 3.74684 | − | 21.2494i | 0.140715 | − | 0.798036i | −0.829993 | − | 0.557774i | \(-0.811655\pi\) |
0.970708 | − | 0.240262i | \(-0.0772334\pi\) | |||||||
\(710\) | 8.26635 | + | 4.57442i | 0.310231 | + | 0.171675i | ||||
\(711\) | −30.4776 | − | 0.513581i | −1.14300 | − | 0.0192608i | ||||
\(712\) | 1.39304 | − | 0.908892i | 0.0522065 | − | 0.0340622i | ||||
\(713\) | 19.8911 | + | 54.6503i | 0.744927 | + | 2.04667i | ||||
\(714\) | 8.36220 | − | 8.52672i | 0.312947 | − | 0.319104i | ||||
\(715\) | 5.10854 | + | 6.08812i | 0.191048 | + | 0.227683i | ||||
\(716\) | 11.5897 | − | 10.4653i | 0.433127 | − | 0.391108i | ||||
\(717\) | −37.7733 | − | 10.4632i | −1.41067 | − | 0.390755i | ||||
\(718\) | −6.90788 | + | 2.65733i | −0.257800 | + | 0.0991708i | ||||
\(719\) | −4.48435 | − | 7.76713i | −0.167238 | − | 0.289665i | 0.770210 | − | 0.637791i | \(-0.220152\pi\) |
−0.937448 | + | 0.348126i | \(0.886818\pi\) | |||||||
\(720\) | 15.4748 | − | 14.5307i | 0.576711 | − | 0.541527i | ||||
\(721\) | −2.29410 | + | 3.97349i | −0.0854366 | + | 0.147980i | ||||
\(722\) | 2.32277 | − | 14.7333i | 0.0864445 | − | 0.548317i | ||||
\(723\) | 0.339481 | − | 0.154834i | 0.0126254 | − | 0.00575835i | ||||
\(724\) | 5.53370 | + | 1.78929i | 0.205658 | + | 0.0664986i | ||||
\(725\) | −13.9707 | + | 2.46341i | −0.518858 | + | 0.0914886i | ||||
\(726\) | 0.695703 | − | 1.53069i | 0.0258199 | − | 0.0568093i | ||||
\(727\) | −25.5804 | + | 30.4856i | −0.948726 | + | 1.13065i | 0.0425829 | + | 0.999093i | \(0.486441\pi\) |
−0.991309 | + | 0.131555i | \(0.958003\pi\) | |||||||
\(728\) | 0.163713 | + | 3.00111i | 0.00606762 | + | 0.111228i | ||||
\(729\) | 24.0349 | − | 12.3013i | 0.890183 | − | 0.455604i | ||||
\(730\) | 0.508821 | + | 28.0070i | 0.0188323 | + | 1.03658i | ||||
\(731\) | 35.9839 | + | 30.1940i | 1.33091 | + | 1.11677i | ||||
\(732\) | −10.9679 | + | 25.3440i | −0.405384 | + | 0.936740i | ||||
\(733\) | 5.60310 | + | 31.7768i | 0.206955 | + | 1.17370i | 0.894333 | + | 0.447402i | \(0.147651\pi\) |
−0.687378 | + | 0.726300i | \(0.741238\pi\) | |||||||
\(734\) | −14.9074 | + | 43.3947i | −0.550243 | + | 1.60173i | ||||
\(735\) | −8.16647 | − | 17.9053i | −0.301225 | − | 0.660449i | ||||
\(736\) | −2.91094 | + | 34.6950i | −0.107299 | + | 1.27887i | ||||
\(737\) | 15.8162 | + | 9.13151i | 0.582599 | + | 0.336364i | ||||
\(738\) | −20.9504 | + | 17.6265i | −0.771194 | + | 0.648840i | ||||
\(739\) | −45.5964 | + | 26.3251i | −1.67729 | + | 0.968384i | −0.713912 | + | 0.700235i | \(0.753078\pi\) |
−0.963378 | + | 0.268148i | \(0.913588\pi\) | |||||||
\(740\) | 4.31034 | + | 10.6249i | 0.158451 | + | 0.390577i | ||||
\(741\) | −1.88064 | + | 6.78932i | −0.0690869 | + | 0.249412i | ||||
\(742\) | 7.81039 | − | 6.79924i | 0.286728 | − | 0.249608i | ||||
\(743\) | −5.64333 | + | 4.73531i | −0.207034 | + | 0.173722i | −0.740409 | − | 0.672157i | \(-0.765368\pi\) |
0.533375 | + | 0.845879i | \(0.320923\pi\) | |||||||
\(744\) | 34.2055 | + | 31.1905i | 1.25404 | + | 1.14350i | ||||
\(745\) | −1.72728 | + | 0.628678i | −0.0632825 | + | 0.0230330i | ||||
\(746\) | 10.7509 | + | 17.8637i | 0.393619 | + | 0.654036i | ||||
\(747\) | 0.250997 | − | 14.8950i | 0.00918352 | − | 0.544980i | ||||
\(748\) | 36.4295 | + | 19.3034i | 1.33200 | + | 0.705802i | ||||
\(749\) | 3.20733 | + | 0.565539i | 0.117193 | + | 0.0206643i | ||||
\(750\) | −16.8378 | + | 24.5525i | −0.614831 | + | 0.896531i | ||||
\(751\) | 14.4395 | − | 39.6722i | 0.526905 | − | 1.44766i | −0.335792 | − | 0.941936i | \(-0.609004\pi\) |
0.862696 | − | 0.505722i | \(-0.168774\pi\) | |||||||
\(752\) | 4.15673 | + | 16.4716i | 0.151580 | + | 0.600659i | ||||
\(753\) | 23.4144 | + | 34.0461i | 0.853268 | + | 1.24071i | ||||
\(754\) | 9.43314 | − | 11.6659i | 0.343535 | − | 0.424848i | ||||
\(755\) | 26.8280 | 0.976373 | ||||||||
\(756\) | −2.12726 | − | 7.60181i | −0.0773676 | − | 0.276475i | ||||
\(757\) | −18.7376 | −0.681028 | −0.340514 | − | 0.940239i | \(-0.610601\pi\) | ||||
−0.340514 | + | 0.940239i | \(0.610601\pi\) | |||||||
\(758\) | 1.93306 | − | 2.39060i | 0.0702117 | − | 0.0868307i | ||||
\(759\) | 34.1294 | − | 2.69641i | 1.23882 | − | 0.0978736i | ||||
\(760\) | −3.30268 | − | 14.1673i | −0.119801 | − | 0.513901i | ||||
\(761\) | 2.99398 | − | 8.22589i | 0.108532 | − | 0.298188i | −0.873524 | − | 0.486782i | \(-0.838171\pi\) |
0.982055 | + | 0.188594i | \(0.0603929\pi\) | |||||||
\(762\) | −21.3845 | − | 1.66117i | −0.774677 | − | 0.0601779i | ||||
\(763\) | 3.55432 | + | 0.626722i | 0.128675 | + | 0.0226889i | ||||
\(764\) | 14.8307 | − | 27.9886i | 0.536555 | − | 1.01259i | ||||
\(765\) | −22.3325 | + | 25.7219i | −0.807432 | + | 0.929978i | ||||
\(766\) | −19.7720 | − | 32.8531i | −0.714390 | − | 1.18703i | ||||
\(767\) | −0.555940 | + | 0.202346i | −0.0200738 | + | 0.00730627i | ||||
\(768\) | 10.7587 | + | 25.5392i | 0.388220 | + | 0.921567i | ||||
\(769\) | 18.0034 | − | 15.1066i | 0.649219 | − | 0.544759i | −0.257615 | − | 0.966248i | \(-0.582937\pi\) |
0.906834 | + | 0.421489i | \(0.138492\pi\) | |||||||
\(770\) | −4.60284 | + | 4.00695i | −0.165875 | + | 0.144400i | ||||
\(771\) | 2.28660 | − | 0.592092i | 0.0823499 | − | 0.0213237i | ||||
\(772\) | −23.6364 | + | 9.58891i | −0.850692 | + | 0.345112i | ||||
\(773\) | 13.5604 | − | 7.82910i | 0.487733 | − | 0.281593i | −0.235900 | − | 0.971777i | \(-0.575804\pi\) |
0.723634 | + | 0.690184i | \(0.242471\pi\) | |||||||
\(774\) | 29.1616 | − | 10.6575i | 1.04819 | − | 0.383074i | ||||
\(775\) | −15.3088 | − | 8.83855i | −0.549909 | − | 0.317490i | ||||
\(776\) | −5.72410 | + | 47.4573i | −0.205483 | + | 1.70362i | ||||
\(777\) | 4.24428 | + | 0.407385i | 0.152263 | + | 0.0146148i | ||||
\(778\) | 12.4872 | − | 36.3496i | 0.447688 | − | 1.30320i | ||||
\(779\) | 3.25811 | + | 18.4776i | 0.116734 | + | 0.662030i | ||||
\(780\) | −0.985156 | − | 8.51585i | −0.0352742 | − | 0.304916i | ||||
\(781\) | 9.29069 | + | 7.79581i | 0.332447 | + | 0.278956i | ||||
\(782\) | −1.01487 | − | 55.8617i | −0.0362919 | − | 1.99761i | ||||
\(783\) | −17.5495 | + | 35.2789i | −0.627170 | + | 1.26077i | ||||
\(784\) | 25.6243 | − | 1.86521i | 0.915155 | − | 0.0666148i | ||||
\(785\) | −8.90510 | + | 10.6127i | −0.317837 | + | 0.378783i | ||||
\(786\) | −10.5241 | − | 14.7226i | −0.375382 | − | 0.525139i | ||||
\(787\) | 15.9427 | − | 2.81113i | 0.568296 | − | 0.100206i | 0.117885 | − | 0.993027i | \(-0.462388\pi\) |
0.450411 | + | 0.892821i | \(0.351277\pi\) | |||||||
\(788\) | 4.86231 | − | 15.0375i | 0.173213 | − | 0.535689i | ||||
\(789\) | 24.2159 | + | 17.2620i | 0.862107 | + | 0.614543i | ||||
\(790\) | 3.95849 | − | 25.1087i | 0.140837 | − | 0.893326i | ||||
\(791\) | −3.45631 | + | 5.98650i | −0.122892 | + | 0.212856i | ||||
\(792\) | 23.0699 | − | 14.5037i | 0.819753 | − | 0.515368i | ||||
\(793\) | 5.57617 | + | 9.65821i | 0.198016 | + | 0.342973i | ||||
\(794\) | −12.9706 | + | 4.98957i | −0.460311 | + | 0.177073i | ||||
\(795\) | −21.0603 | + | 20.7084i | −0.746930 | + | 0.734450i | ||||
\(796\) | 5.21405 | + | 5.77422i | 0.184807 | + | 0.204662i | ||||
\(797\) | −19.0625 | − | 22.7178i | −0.675229 | − | 0.804707i | 0.314256 | − | 0.949338i | \(-0.398245\pi\) |
−0.989486 | + | 0.144631i | \(0.953800\pi\) | |||||||
\(798\) | −5.23866 | − | 1.34914i | −0.185447 | − | 0.0477592i | ||||
\(799\) | −9.32375 | − | 25.6168i | −0.329850 | − | 0.906257i | ||||
\(800\) | −6.10080 | − | 8.64712i | −0.215696 | − | 0.305722i | ||||
\(801\) | 0.277038 | + | 1.74234i | 0.00978864 | + | 0.0615624i | ||||
\(802\) | 11.2178 | + | 6.20771i | 0.396116 | + | 0.219202i | ||||
\(803\) | −6.24423 | + | 35.4128i | −0.220354 | + | 1.24969i | ||||
\(804\) | −8.82037 | − | 17.6147i | −0.311070 | − | 0.621222i | ||||
\(805\) | 7.77135 | + | 2.82854i | 0.273904 | + | 0.0996929i | ||||
\(806\) | 18.3484 | − | 3.58013i | 0.646295 | − | 0.126105i | ||||
\(807\) | −13.7535 | − | 6.55498i | −0.484146 | − | 0.230746i | ||||
\(808\) | 9.30468 | − | 12.4028i | 0.327337 | − | 0.436328i | ||||
\(809\) | 28.2066i | 0.991690i | 0.868411 | + | 0.495845i | \(0.165142\pi\) | ||||
−0.868411 | + | 0.495845i | \(0.834858\pi\) | |||||||
\(810\) | 7.37110 | + | 21.2745i | 0.258994 | + | 0.747508i | ||||
\(811\) | 28.0396i | 0.984605i | 0.870424 | + | 0.492302i | \(0.163845\pi\) | ||||
−0.870424 | + | 0.492302i | \(0.836155\pi\) | |||||||
\(812\) | 9.08798 | + | 7.07948i | 0.318926 | + | 0.248441i | ||||
\(813\) | 4.98706 | + | 2.37686i | 0.174904 | + | 0.0833600i | ||||
\(814\) | 2.81881 | + | 14.4466i | 0.0987992 | + | 0.506352i | ||||
\(815\) | 24.7204 | + | 8.99750i | 0.865918 | + | 0.315169i | ||||
\(816\) | −21.3427 | − | 39.0147i | −0.747145 | − | 1.36579i | ||||
\(817\) | 3.69472 | − | 20.9538i | 0.129262 | − | 0.733081i | ||||
\(818\) | −19.6255 | + | 35.4650i | −0.686191 | + | 1.24000i | ||||
\(819\) | −2.97684 | − | 1.14064i | −0.104019 | − | 0.0398572i | ||||
\(820\) | −12.1263 | − | 19.3448i | −0.423470 | − | 0.675549i | ||||
\(821\) | −10.1420 | − | 27.8650i | −0.353960 | − | 0.972496i | −0.981085 | − | 0.193578i | \(-0.937991\pi\) |
0.627125 | − | 0.778918i | \(-0.284231\pi\) | |||||||
\(822\) | −3.30577 | + | 12.8362i | −0.115302 | + | 0.447712i | ||||
\(823\) | −7.87250 | − | 9.38208i | −0.274418 | − | 0.327039i | 0.611180 | − | 0.791492i | \(-0.290695\pi\) |
−0.885598 | + | 0.464453i | \(0.846251\pi\) | |||||||
\(824\) | 11.6785 | + | 12.4701i | 0.406839 | + | 0.434417i | ||||
\(825\) | −7.41990 | + | 7.29592i | −0.258328 | + | 0.254011i | ||||
\(826\) | −0.163103 | − | 0.423995i | −0.00567508 | − | 0.0147527i | ||||
\(827\) | −5.15219 | − | 8.92386i | −0.179159 | − | 0.310313i | 0.762434 | − | 0.647067i | \(-0.224004\pi\) |
−0.941593 | + | 0.336754i | \(0.890671\pi\) | |||||||
\(828\) | −32.3350 | − | 17.8379i | −1.12372 | − | 0.619911i | ||||
\(829\) | −20.0735 | + | 34.7684i | −0.697183 | + | 1.20756i | 0.272256 | + | 0.962225i | \(0.412230\pi\) |
−0.969439 | + | 0.245332i | \(0.921103\pi\) | |||||||
\(830\) | 12.2711 | + | 1.93460i | 0.425937 | + | 0.0671508i | ||||
\(831\) | 19.7187 | + | 14.0562i | 0.684035 | + | 0.487606i | ||||
\(832\) | 10.8707 | + | 2.66107i | 0.376874 | + | 0.0922561i | ||||
\(833\) | −40.6020 | + | 7.15922i | −1.40677 | + | 0.248052i | ||||
\(834\) | −29.0954 | + | 20.7981i | −1.00749 | + | 0.720180i | ||||
\(835\) | 1.15712 | − | 1.37901i | 0.0400439 | − | 0.0477225i | ||||
\(836\) | −0.678318 | − | 18.6621i | −0.0234601 | − | 0.645443i | ||||
\(837\) | −45.0091 | + | 19.6190i | −1.55574 | + | 0.678132i | ||||
\(838\) | 23.7672 | − | 0.431795i | 0.821025 | − | 0.0149161i | ||||
\(839\) | −37.1850 | − | 31.2019i | −1.28377 | − | 1.07721i | −0.992713 | − | 0.120502i | \(-0.961549\pi\) |
−0.291055 | − | 0.956706i | \(-0.594006\pi\) | |||||||
\(840\) | 6.52422 | − | 0.875124i | 0.225107 | − | 0.0301946i | ||||
\(841\) | −4.94954 | − | 28.0703i | −0.170674 | − | 0.967940i | ||||
\(842\) | 13.5133 | + | 4.64224i | 0.465699 | + | 0.159982i | ||||
\(843\) | 8.09140 | + | 0.776648i | 0.278683 | + | 0.0267492i | ||||
\(844\) | 7.65768 | + | 1.06509i | 0.263588 | + | 0.0366620i | ||||
\(845\) | 16.9174 | + | 9.76726i | 0.581976 | + | 0.336004i | ||||
\(846\) | −17.7489 | − | 3.10553i | −0.610220 | − | 0.106770i | ||||
\(847\) | 0.451540 | − | 0.260697i | 0.0155151 | − | 0.00895764i | ||||
\(848\) | −15.7838 | − | 35.1810i | −0.542020 | − | 1.20812i | ||||
\(849\) | 7.24344 | − | 1.87561i | 0.248594 | − | 0.0643709i | ||||
\(850\) | 11.1503 | + | 12.8086i | 0.382454 | + | 0.439330i | ||||
\(851\) | 15.2801 | − | 12.8216i | 0.523797 | − | 0.439518i | ||||
\(852\) | −3.73719 | − | 12.5370i | −0.128034 | − | 0.429511i | ||||
\(853\) | −10.1083 | + | 3.67913i | −0.346102 | + | 0.125971i | −0.509222 | − | 0.860635i | \(-0.670067\pi\) |
0.163119 | + | 0.986606i | \(0.447844\pi\) | |||||||
\(854\) | −7.33722 | + | 4.41576i | −0.251075 | + | 0.151104i | ||||
\(855\) | 15.1478 | + | 2.93495i | 0.518046 | + | 0.100373i | ||||
\(856\) | 5.48253 | − | 10.8172i | 0.187389 | − | 0.369723i | ||||
\(857\) | −3.33877 | − | 0.588716i | −0.114050 | − | 0.0201102i | 0.116332 | − | 0.993210i | \(-0.462886\pi\) |
−0.230382 | + | 0.973100i | \(0.573998\pi\) | |||||||
\(858\) | 0.852306 | − | 10.9718i | 0.0290972 | − | 0.374572i | ||||
\(859\) | −6.70377 | + | 18.4184i | −0.228730 | + | 0.628429i | −0.999967 | − | 0.00811819i | \(-0.997416\pi\) |
0.771237 | + | 0.636548i | \(0.219638\pi\) | |||||||
\(860\) | 5.41910 | + | 25.3174i | 0.184790 | + | 0.863317i | ||||
\(861\) | −8.46384 | + | 0.668690i | −0.288447 | + | 0.0227889i | ||||
\(862\) | 30.0819 | + | 24.3244i | 1.02459 | + | 0.828491i | ||||
\(863\) | 48.0692 | 1.63629 | 0.818147 | − | 0.575009i | \(-0.195001\pi\) | ||||
0.818147 | + | 0.575009i | \(0.195001\pi\) | |||||||
\(864\) | −29.3869 | − | 0.638164i | −0.999764 | − | 0.0217108i | ||||
\(865\) | 13.8216 | 0.469949 | ||||||||
\(866\) | −9.74555 | − | 7.88030i | −0.331167 | − | 0.267784i | ||||
\(867\) | 23.7530 | + | 34.5385i | 0.806694 | + | 1.17299i | ||||
\(868\) | 3.00454 | + | 14.0369i | 0.101981 | + | 0.476443i | ||||
\(869\) | 11.1603 | − | 30.6628i | 0.378588 | − | 1.04016i | ||||
\(870\) | −27.0980 | − | 18.5835i | −0.918708 | − | 0.630040i | ||||
\(871\) | −7.83474 | − | 1.38148i | −0.265470 | − | 0.0468095i | ||||
\(872\) | 6.07567 | − | 11.9874i | 0.205748 | − | 0.405946i | ||||
\(873\) | −43.4749 | − | 26.0866i | −1.47140 | − | 0.882899i | ||||
\(874\) | −21.6832 | + | 13.0496i | −0.733444 | + | 0.441409i | ||||
\(875\) | −8.67534 | + | 3.15756i | −0.293280 | + | 0.106745i | ||||
\(876\) | 26.6511 | − | 28.1817i | 0.900457 | − | 0.952171i | ||||
\(877\) | −36.3911 | + | 30.5358i | −1.22884 | + | 1.03112i | −0.230527 | + | 0.973066i | \(0.574045\pi\) |
−0.998313 | + | 0.0580531i | \(0.981511\pi\) | |||||||
\(878\) | 22.9006 | + | 26.3062i | 0.772857 | + | 0.887792i | ||||
\(879\) | 5.26582 | − | 19.0102i | 0.177612 | − | 0.641199i | ||||
\(880\) | 9.30178 | + | 20.7329i | 0.313563 | + | 0.698907i | ||||
\(881\) | −9.71356 | + | 5.60813i | −0.327258 | + | 0.188943i | −0.654623 | − | 0.755955i | \(-0.727173\pi\) |
0.327365 | + | 0.944898i | \(0.393839\pi\) | |||||||
\(882\) | −9.28655 | + | 25.6194i | −0.312694 | + | 0.862652i | ||||
\(883\) | 7.49573 | + | 4.32766i | 0.252251 | + | 0.145637i | 0.620795 | − | 0.783973i | \(-0.286810\pi\) |
−0.368543 | + | 0.929611i | \(0.620143\pi\) | |||||||
\(884\) | −17.7881 | − | 2.47412i | −0.598279 | − | 0.0832136i | ||||
\(885\) | 0.537689 | + | 1.17891i | 0.0180742 | + | 0.0396285i | ||||
\(886\) | 16.6694 | + | 5.72646i | 0.560020 | + | 0.192384i | ||||
\(887\) | 5.65003 | + | 32.0429i | 0.189710 | + | 1.07590i | 0.919754 | + | 0.392496i | \(0.128388\pi\) |
−0.730044 | + | 0.683400i | \(0.760500\pi\) | |||||||
\(888\) | 6.04001 | − | 14.6831i | 0.202690 | − | 0.492731i | ||||
\(889\) | −5.09518 | − | 4.27536i | −0.170887 | − | 0.143391i | ||||
\(890\) | −1.47094 | + | 0.0267235i | −0.0493060 | + | 0.000895774i | ||||
\(891\) | 4.05712 | + | 28.6171i | 0.135919 | + | 0.958710i | ||||
\(892\) | −1.69786 | − | 46.7120i | −0.0568484 | − | 1.56404i | ||||
\(893\) | −7.93714 | + | 9.45911i | −0.265606 | + | 0.316537i | ||||
\(894\) | 2.31716 | + | 1.05315i | 0.0774975 | + | 0.0352227i | ||||
\(895\) | −13.6018 | + | 2.39837i | −0.454659 | + | 0.0801686i | ||||
\(896\) | −1.89139 | + | 8.38300i | −0.0631869 | + | 0.280056i | ||||
\(897\) | −13.5689 | + | 6.18864i | −0.453052 | + | 0.206633i | ||||
\(898\) | −49.6115 | − | 7.82147i | −1.65556 | − | 0.261006i | ||||
\(899\) | 35.8268 | − | 62.0538i | 1.19489 | − | 2.06961i | ||||
\(900\) | 11.0140 | − | 2.16410i | 0.367133 | − | 0.0721367i | ||||
\(901\) | 30.9383 | + | 53.5867i | 1.03070 | + | 1.78523i | ||||
\(902\) | −10.5229 | − | 27.3548i | −0.350374 | − | 0.910817i | ||||
\(903\) | 9.27859 | + | 2.57016i | 0.308772 | + | 0.0855297i | ||||
\(904\) | 17.5949 | + | 18.7876i | 0.585199 | + | 0.624866i | ||||
\(905\) | −3.30647 | − | 3.94050i | −0.109911 | − | 0.130987i | ||||
\(906\) | −26.5228 | − | 26.0111i | −0.881163 | − | 0.864161i | ||||
\(907\) | −13.7943 | − | 37.8996i | −0.458033 | − | 1.25843i | −0.926947 | − | 0.375191i | \(-0.877577\pi\) |
0.468915 | − | 0.883243i | \(-0.344645\pi\) | |||||||
\(908\) | −11.2761 | − | 17.9884i | −0.374209 | − | 0.596965i | ||||
\(909\) | 7.98166 | + | 14.3788i | 0.264735 | + | 0.476915i | ||||
\(910\) | 1.28715 | − | 2.32598i | 0.0426685 | − | 0.0771055i | ||||
\(911\) | 8.02183 | − | 45.4941i | 0.265775 | − | 1.50729i | −0.501044 | − | 0.865422i | \(-0.667051\pi\) |
0.766819 | − | 0.641863i | \(-0.221838\pi\) | |||||||
\(912\) | −10.4707 | + | 17.2082i | −0.346721 | + | 0.569820i | ||||
\(913\) | 14.9855 | + | 5.45429i | 0.495949 | + | 0.180511i | ||||
\(914\) | 4.52585 | + | 23.1953i | 0.149702 | + | 0.767231i | ||||
\(915\) | 20.1254 | − | 13.8407i | 0.665324 | − | 0.457561i | ||||
\(916\) | −10.9765 | − | 8.55059i | −0.362672 | − | 0.282519i | ||||
\(917\) | − | 5.61196i | − | 0.185323i | ||||||
\(918\) | 47.0171 | − | 3.77688i | 1.55179 | − | 0.124656i | ||||
\(919\) | − | 1.23662i | − | 0.0407922i | −0.999792 | − | 0.0203961i | \(-0.993507\pi\) | ||
0.999792 | − | 0.0203961i | \(-0.00649274\pi\) | |||||||
\(920\) | 18.4802 | − | 24.6335i | 0.609276 | − | 0.812141i | ||||
\(921\) | −2.92820 | − | 37.0633i | −0.0964876 | − | 1.22128i | ||||
\(922\) | 10.1648 | − | 1.98335i | 0.334759 | − | 0.0653181i | ||||
\(923\) | −4.96455 | − | 1.80695i | −0.163410 | − | 0.0594765i | ||||
\(924\) | 8.43541 | + | 0.501314i | 0.277505 | + | 0.0164920i | ||||
\(925\) | −1.05281 | + | 5.97076i | −0.0346160 | + | 0.196317i | ||||
\(926\) | −18.4723 | − | 10.2222i | −0.607039 | − | 0.335922i | ||||
\(927\) | −17.1303 | + | 5.91002i | −0.562634 | + | 0.194111i | ||||
\(928\) | 35.0509 | − | 24.7294i | 1.15060 | − | 0.811782i | ||||
\(929\) | 8.79850 | + | 24.1737i | 0.288669 | + | 0.793112i | 0.996253 | + | 0.0864831i | \(0.0275629\pi\) |
−0.707584 | + | 0.706629i | \(0.750215\pi\) | |||||||
\(930\) | −10.9817 | − | 39.4434i | −0.360105 | − | 1.29340i | ||||
\(931\) | 12.0039 | + | 14.3056i | 0.393410 | + | 0.468848i | ||||
\(932\) | 21.6664 | + | 23.9942i | 0.709707 | + | 0.785955i | ||||
\(933\) | 4.93050 | + | 19.0411i | 0.161417 | + | 0.623378i | ||||
\(934\) | −41.8858 | + | 16.1127i | −1.37055 | + | 0.527223i | ||||
\(935\) | −18.2326 | − | 31.5798i | −0.596271 | − | 1.03277i | ||||
\(936\) | −7.28259 | + | 9.37413i | −0.238039 | + | 0.306403i | ||||
\(937\) | −13.9758 | + | 24.2068i | −0.456569 | + | 0.790801i | −0.998777 | − | 0.0494437i | \(-0.984255\pi\) |
0.542208 | + | 0.840244i | \(0.317588\pi\) | |||||||
\(938\) | 0.951336 | − | 6.03432i | 0.0310622 | − | 0.197027i | ||||
\(939\) | 4.24809 | − | 44.2582i | 0.138631 | − | 1.44431i | ||||
\(940\) | 4.62281 | − | 14.2968i | 0.150779 | − | 0.466311i | ||||
\(941\) | 48.5322 | − | 8.55753i | 1.58210 | − | 0.278968i | 0.687621 | − | 0.726070i | \(-0.258655\pi\) |
0.894483 | + | 0.447103i | \(0.147544\pi\) | |||||||
\(942\) | 19.0933 | − | 1.85802i | 0.622094 | − | 0.0605377i | ||||
\(943\) | −25.5308 | + | 30.4264i | −0.831397 | + | 0.990820i | ||||
\(944\) | −1.68713 | + | 0.122808i | −0.0549115 | + | 0.00399705i | ||||
\(945\) | −1.97692 | + | 6.69623i | −0.0643092 | + | 0.217828i | ||||
\(946\) | 0.603733 | + | 33.2312i | 0.0196291 | + | 1.08044i | ||||
\(947\) | −21.6693 | − | 18.1827i | −0.704158 | − | 0.590858i | 0.218796 | − | 0.975771i | \(-0.429787\pi\) |
−0.922953 | + | 0.384912i | \(0.874232\pi\) | |||||||
\(948\) | −28.2575 | + | 20.9851i | −0.917762 | + | 0.681564i | ||||
\(949\) | −2.72007 | − | 15.4263i | −0.0882971 | − | 0.500758i | ||||
\(950\) | 2.49914 | − | 7.27485i | 0.0810827 | − | 0.236027i | ||||
\(951\) | −25.0414 | + | 35.1292i | −0.812024 | + | 1.13914i | ||||
\(952\) | 1.65137 | − | 13.6912i | 0.0535213 | − | 0.443733i | ||||
\(953\) | 18.2626 | + | 10.5439i | 0.591583 | + | 0.341551i | 0.765723 | − | 0.643170i | \(-0.222381\pi\) |
−0.174140 | + | 0.984721i | \(0.555715\pi\) | |||||||
\(954\) | 40.8984 | − | 0.0538283i | 1.32414 | − | 0.00174275i | ||||
\(955\) | −24.2626 | + | 14.0080i | −0.785119 | + | 0.453289i | ||||
\(956\) | −41.9395 | + | 17.0142i | −1.35642 | + | 0.550278i | ||||
\(957\) | −29.5738 | − | 30.0763i | −0.955985 | − | 0.972230i | ||||
\(958\) | −14.4074 | + | 12.5422i | −0.465481 | + | 0.405219i | ||||
\(959\) | −3.14872 | + | 2.64209i | −0.101678 | + | 0.0853176i | ||||
\(960\) | 3.93489 | − | 24.1936i | 0.126998 | − | 0.780845i | ||||
\(961\) | 54.7709 | − | 19.9350i | 1.76680 | − | 0.643064i | ||||
\(962\) | −3.30623 | − | 5.49362i | −0.106597 | − | 0.177121i | ||||
\(963\) | 8.10089 | + | 9.99142i | 0.261047 | + | 0.321969i | ||||
\(964\) | 0.201728 | − | 0.380702i | 0.00649721 | − | 0.0122616i | ||||
\(965\) | 22.2180 | + | 3.91764i | 0.715224 | + | 0.126113i | ||||
\(966\) | −4.94053 | − | 10.3311i | −0.158959 | − | 0.332396i | ||||
\(967\) | 3.43633 | − | 9.44123i | 0.110505 | − | 0.303610i | −0.872097 | − | 0.489333i | \(-0.837240\pi\) |
0.982602 | + | 0.185723i | \(0.0594627\pi\) | |||||||
\(968\) | −0.440781 | − | 1.89079i | −0.0141672 | − | 0.0607722i | ||||
\(969\) | 13.9072 | − | 29.1797i | 0.446763 | − | 0.937386i | ||||
\(970\) | 26.5839 | − | 32.8762i | 0.853556 | − | 1.05559i | ||||
\(971\) | −38.1342 | −1.22378 | −0.611892 | − | 0.790942i | \(-0.709591\pi\) | ||||
−0.611892 | + | 0.790942i | \(0.709591\pi\) | |||||||
\(972\) | 13.3394 | − | 28.1791i | 0.427861 | − | 0.903845i | ||||
\(973\) | −11.0906 | −0.355547 | ||||||||
\(974\) | 18.8391 | − | 23.2983i | 0.603645 | − | 0.746526i | ||||
\(975\) | 1.95027 | − | 4.09200i | 0.0624586 | − | 0.131049i | ||||
\(976\) | 7.80242 | + | 30.9182i | 0.249749 | + | 0.989668i | ||||
\(977\) | −2.05993 | + | 5.65962i | −0.0659031 | + | 0.181067i | −0.968273 | − | 0.249895i | \(-0.919604\pi\) |
0.902370 | + | 0.430963i | \(0.141826\pi\) | |||||||
\(978\) | −15.7157 | − | 32.8628i | −0.502532 | − | 1.05084i | ||||
\(979\) | −1.85990 | − | 0.327950i | −0.0594425 | − | 0.0104813i | ||||
\(980\) | −20.0795 | − | 10.6398i | −0.641415 | − | 0.339875i | ||||
\(981\) | 8.97729 | + | 11.0724i | 0.286623 | + | 0.353513i | ||||
\(982\) | 14.4284 | + | 23.9742i | 0.460429 | + | 0.765047i | ||||
\(983\) | 2.09396 | − | 0.762140i | 0.0667870 | − | 0.0243085i | −0.308411 | − | 0.951253i | \(-0.599797\pi\) |
0.375198 | + | 0.926945i | \(0.377575\pi\) | |||||||
\(984\) | −6.76735 | + | 30.8818i | −0.215735 | + | 0.984475i | ||||
\(985\) | −10.7081 | + | 8.98515i | −0.341188 | + | 0.286291i | ||||
\(986\) | −51.9192 | + | 45.1976i | −1.65344 | + | 1.43938i | ||||
\(987\) | −3.91756 | − | 3.98413i | −0.124697 | − | 0.126816i | ||||
\(988\) | 3.05810 | + | 7.53813i | 0.0972912 | + | 0.239820i | ||||
\(989\) | 39.0071 | − | 22.5208i | 1.24035 | − | 0.716119i | ||||
\(990\) | −24.1024 | + | 0.0317222i | −0.766023 | + | 0.00100820i | ||||
\(991\) | −29.4685 | − | 17.0137i | −0.936098 | − | 0.540457i | −0.0473631 | − | 0.998878i | \(-0.515082\pi\) |
−0.888735 | + | 0.458421i | \(0.848415\pi\) | |||||||
\(992\) | 53.2652 | + | 4.46899i | 1.69117 | + | 0.141891i | ||||
\(993\) | 31.7216 | − | 44.5004i | 1.00665 | − | 1.41218i | ||||
\(994\) | 1.31802 | − | 3.83669i | 0.0418051 | − | 0.121692i | ||||
\(995\) | −1.19492 | − | 6.77670i | −0.0378814 | − | 0.214836i | ||||
\(996\) | −10.2558 | − | 13.8100i | −0.324969 | − | 0.437588i | ||||
\(997\) | 36.1230 | + | 30.3108i | 1.14403 | + | 0.959953i | 0.999563 | − | 0.0295568i | \(-0.00940960\pi\) |
0.144465 | + | 0.989510i | \(0.453854\pi\) | |||||||
\(998\) | 0.756281 | + | 41.6279i | 0.0239396 | + | 1.31771i | ||||
\(999\) | 11.6029 | + | 12.2048i | 0.367100 | + | 0.386141i |
(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 | 108.2.l.a.11.13 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.35.4 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.11.4 | ✓ | 96 | |
9.2 | odd | 6 | 972.2.l.a.755.9 | 96 | |||
9.4 | even | 3 | 972.2.l.c.431.3 | 96 | |||
9.5 | odd | 6 | 972.2.l.b.431.14 | 96 | |||
9.7 | even | 3 | 972.2.l.d.755.8 | 96 | |||
12.11 | even | 2 | 324.2.l.a.35.13 | 96 | |||
27.4 | even | 9 | 972.2.l.a.215.10 | 96 | |||
27.5 | odd | 18 | inner | 108.2.l.a.59.4 | yes | 96 | |
27.13 | even | 9 | 972.2.l.b.539.2 | 96 | |||
27.14 | odd | 18 | 972.2.l.c.539.15 | 96 | |||
27.22 | even | 9 | 324.2.l.a.287.13 | 96 | |||
27.23 | odd | 18 | 972.2.l.d.215.7 | 96 | |||
36.7 | odd | 6 | 972.2.l.d.755.7 | 96 | |||
36.11 | even | 6 | 972.2.l.a.755.10 | 96 | |||
36.23 | even | 6 | 972.2.l.b.431.2 | 96 | |||
36.31 | odd | 6 | 972.2.l.c.431.15 | 96 | |||
108.23 | even | 18 | 972.2.l.d.215.8 | 96 | |||
108.31 | odd | 18 | 972.2.l.a.215.9 | 96 | |||
108.59 | even | 18 | inner | 108.2.l.a.59.13 | yes | 96 | |
108.67 | odd | 18 | 972.2.l.b.539.14 | 96 | |||
108.95 | even | 18 | 972.2.l.c.539.3 | 96 | |||
108.103 | odd | 18 | 324.2.l.a.287.4 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.11.4 | ✓ | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.11.13 | yes | 96 | 1.1 | even | 1 | trivial | |
108.2.l.a.59.4 | yes | 96 | 27.5 | odd | 18 | inner | |
108.2.l.a.59.13 | yes | 96 | 108.59 | even | 18 | inner | |
324.2.l.a.35.4 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.35.13 | 96 | 12.11 | even | 2 | |||
324.2.l.a.287.4 | 96 | 108.103 | odd | 18 | |||
324.2.l.a.287.13 | 96 | 27.22 | even | 9 | |||
972.2.l.a.215.9 | 96 | 108.31 | odd | 18 | |||
972.2.l.a.215.10 | 96 | 27.4 | even | 9 | |||
972.2.l.a.755.9 | 96 | 9.2 | odd | 6 | |||
972.2.l.a.755.10 | 96 | 36.11 | even | 6 | |||
972.2.l.b.431.2 | 96 | 36.23 | even | 6 | |||
972.2.l.b.431.14 | 96 | 9.5 | odd | 6 | |||
972.2.l.b.539.2 | 96 | 27.13 | even | 9 | |||
972.2.l.b.539.14 | 96 | 108.67 | odd | 18 | |||
972.2.l.c.431.3 | 96 | 9.4 | even | 3 | |||
972.2.l.c.431.15 | 96 | 36.31 | odd | 6 | |||
972.2.l.c.539.3 | 96 | 108.95 | even | 18 | |||
972.2.l.c.539.15 | 96 | 27.14 | odd | 18 | |||
972.2.l.d.215.7 | 96 | 27.23 | odd | 18 | |||
972.2.l.d.215.8 | 96 | 108.23 | even | 18 | |||
972.2.l.d.755.7 | 96 | 36.7 | odd | 6 | |||
972.2.l.d.755.8 | 96 | 9.7 | even | 3 |