Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(3,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(336))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bm (of order \(336\), degree \(96\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(6144\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{336})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{336}]$ |
Embedding invariants
Embedding label | 3.20 | ||
Character | \(\chi\) | \(=\) | 731.3 |
Dual form | 731.2.bm.a.244.20 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0742301 | + | 1.32179i | −0.0524886 | + | 0.934646i | 0.856062 | + | 0.516872i | \(0.172904\pi\) |
−0.908551 | + | 0.417774i | \(0.862810\pi\) | |||||||
\(3\) | 1.64473 | + | 0.457230i | 0.949588 | + | 0.263982i | 0.707852 | − | 0.706361i | \(-0.249664\pi\) |
0.241736 | + | 0.970342i | \(0.422283\pi\) | |||||||
\(4\) | 0.245807 | + | 0.0276958i | 0.122903 | + | 0.0138479i | ||||
\(5\) | −2.87165 | + | 0.856465i | −1.28424 | + | 0.383023i | −0.854274 | − | 0.519823i | \(-0.825998\pi\) |
−0.429965 | + | 0.902845i | \(0.641474\pi\) | |||||||
\(6\) | −0.726450 | + | 2.14005i | −0.296572 | + | 0.873673i | ||||
\(7\) | −0.0389237 | + | 0.593861i | −0.0147118 | + | 0.224458i | 0.984172 | + | 0.177217i | \(0.0567095\pi\) |
−0.998884 | + | 0.0472409i | \(0.984957\pi\) | |||||||
\(8\) | −0.498368 | + | 2.93318i | −0.176200 | + | 1.03704i | ||||
\(9\) | −0.0734806 | − | 0.0442763i | −0.0244935 | − | 0.0147588i | ||||
\(10\) | −0.918904 | − | 3.85929i | −0.290583 | − | 1.22041i | ||||
\(11\) | −0.361873 | − | 0.186948i | −0.109109 | − | 0.0563669i | 0.403561 | − | 0.914953i | \(-0.367772\pi\) |
−0.512670 | + | 0.858586i | \(0.671344\pi\) | |||||||
\(12\) | 0.391624 | + | 0.157942i | 0.113052 | + | 0.0455941i | ||||
\(13\) | −3.76313 | − | 0.140806i | −1.04370 | − | 0.0390526i | −0.489964 | − | 0.871742i | \(-0.662990\pi\) |
−0.553740 | + | 0.832690i | \(0.686800\pi\) | |||||||
\(14\) | −0.782069 | − | 0.0955312i | −0.209017 | − | 0.0255318i | ||||
\(15\) | −5.11470 | + | 0.0956558i | −1.32061 | + | 0.0246982i | ||||
\(16\) | −3.35774 | − | 0.766382i | −0.839434 | − | 0.191595i | ||||
\(17\) | −2.59798 | + | 3.20164i | −0.630103 | + | 0.776511i | ||||
\(18\) | 0.0639785 | − | 0.0938392i | 0.0150799 | − | 0.0221181i | ||||
\(19\) | 1.74236 | + | 2.89160i | 0.399724 | + | 0.663378i | 0.989556 | − | 0.144148i | \(-0.0460442\pi\) |
−0.589832 | + | 0.807526i | \(0.700806\pi\) | |||||||
\(20\) | −0.729591 | + | 0.130992i | −0.163142 | + | 0.0292908i | ||||
\(21\) | −0.335550 | + | 0.958946i | −0.0732229 | + | 0.209259i | ||||
\(22\) | 0.273968 | − | 0.464442i | 0.0584101 | − | 0.0990195i | ||||
\(23\) | 2.44307 | + | 3.80860i | 0.509415 | + | 0.794149i | 0.996875 | − | 0.0789967i | \(-0.0251716\pi\) |
−0.487460 | + | 0.873145i | \(0.662076\pi\) | |||||||
\(24\) | −2.16082 | + | 4.59644i | −0.441076 | + | 0.938244i | ||||
\(25\) | 3.32968 | − | 2.18007i | 0.665936 | − | 0.436014i | ||||
\(26\) | 0.465454 | − | 4.96361i | 0.0912830 | − | 0.973444i | ||||
\(27\) | −3.61894 | − | 3.82788i | −0.696466 | − | 0.736676i | ||||
\(28\) | −0.0260151 | + | 0.144897i | −0.00491640 | + | 0.0273830i | ||||
\(29\) | 4.06148 | − | 3.17726i | 0.754199 | − | 0.590002i | −0.163843 | − | 0.986486i | \(-0.552389\pi\) |
0.918041 | + | 0.396484i | \(0.129770\pi\) | |||||||
\(30\) | 0.253228 | − | 6.76765i | 0.0462328 | − | 1.23560i | ||||
\(31\) | −0.0125831 | − | 0.0295927i | −0.00226000 | − | 0.00531501i | 0.919127 | − | 0.393961i | \(-0.128895\pi\) |
−0.921387 | + | 0.388646i | \(0.872943\pi\) | |||||||
\(32\) | −0.385053 | + | 1.33655i | −0.0680684 | + | 0.236271i | ||||
\(33\) | −0.509706 | − | 0.472939i | −0.0887285 | − | 0.0823280i | ||||
\(34\) | −4.03904 | − | 3.67164i | −0.692690 | − | 0.629682i | ||||
\(35\) | −0.396846 | − | 1.73869i | −0.0670791 | − | 0.293893i | ||||
\(36\) | −0.0168358 | − | 0.0129185i | −0.00280596 | − | 0.00215309i | ||||
\(37\) | 3.56626 | + | 3.12752i | 0.586289 | + | 0.514162i | 0.900307 | − | 0.435255i | \(-0.143342\pi\) |
−0.314018 | + | 0.949417i | \(0.601675\pi\) | |||||||
\(38\) | −3.95142 | + | 2.08838i | −0.641005 | + | 0.338781i | ||||
\(39\) | −6.12497 | − | 1.95220i | −0.980780 | − | 0.312603i | ||||
\(40\) | −1.08103 | − | 8.84990i | −0.170926 | − | 1.39929i | ||||
\(41\) | −4.85897 | + | 2.86623i | −0.758844 | + | 0.447631i | −0.835544 | − | 0.549424i | \(-0.814847\pi\) |
0.0767000 | + | 0.997054i | \(0.475562\pi\) | |||||||
\(42\) | −1.24262 | − | 0.514709i | −0.191740 | − | 0.0794213i | ||||
\(43\) | 0.865845 | − | 6.50002i | 0.132040 | − | 0.991244i | ||||
\(44\) | −0.0837732 | − | 0.0559754i | −0.0126293 | − | 0.00843861i | ||||
\(45\) | 0.248931 | + | 0.0642125i | 0.0371085 | + | 0.00957223i | ||||
\(46\) | −5.21552 | + | 2.94651i | −0.768987 | + | 0.434439i | ||||
\(47\) | −1.22551 | + | 10.8767i | −0.178759 | + | 1.58653i | 0.509111 | + | 0.860701i | \(0.329974\pi\) |
−0.687871 | + | 0.725833i | \(0.741454\pi\) | |||||||
\(48\) | −5.17217 | − | 2.79575i | −0.746539 | − | 0.403532i | ||||
\(49\) | 6.58896 | + | 0.867453i | 0.941280 | + | 0.123922i | ||||
\(50\) | 2.63443 | + | 4.56296i | 0.372565 | + | 0.645301i | ||||
\(51\) | −5.73687 | + | 4.07797i | −0.803323 | + | 0.571030i | ||||
\(52\) | −0.921103 | − | 0.138834i | −0.127734 | − | 0.0192528i | ||||
\(53\) | 9.13820 | + | 3.39069i | 1.25523 | + | 0.465747i | 0.886040 | − | 0.463608i | \(-0.153445\pi\) |
0.369188 | + | 0.929355i | \(0.379636\pi\) | |||||||
\(54\) | 5.32828 | − | 4.49933i | 0.725088 | − | 0.612282i | ||||
\(55\) | 1.19928 | + | 0.226917i | 0.161712 | + | 0.0305975i | ||||
\(56\) | −1.72250 | − | 0.410131i | −0.230179 | − | 0.0548061i | ||||
\(57\) | 1.54359 | + | 5.55257i | 0.204454 | + | 0.735455i | ||||
\(58\) | 3.89818 | + | 5.60428i | 0.511856 | + | 0.735877i | ||||
\(59\) | −2.16724 | − | 1.53774i | −0.282151 | − | 0.200197i | 0.428873 | − | 0.903365i | \(-0.358911\pi\) |
−0.711024 | + | 0.703168i | \(0.751768\pi\) | |||||||
\(60\) | −1.25988 | − | 0.118143i | −0.162649 | − | 0.0152522i | ||||
\(61\) | 4.97364 | − | 2.00587i | 0.636809 | − | 0.256826i | −0.0328895 | − | 0.999459i | \(-0.510471\pi\) |
0.669699 | + | 0.742633i | \(0.266423\pi\) | |||||||
\(62\) | 0.0400494 | − | 0.0144356i | 0.00508628 | − | 0.00183332i | ||||
\(63\) | 0.0291541 | − | 0.0419138i | 0.00367307 | − | 0.00528064i | ||||
\(64\) | −8.23969 | − | 2.88319i | −1.02996 | − | 0.360399i | ||||
\(65\) | 10.9270 | − | 2.81864i | 1.35532 | − | 0.349609i | ||||
\(66\) | 0.662961 | − | 0.638618i | 0.0816048 | − | 0.0786085i | ||||
\(67\) | −0.618506 | − | 4.10352i | −0.0755626 | − | 0.501325i | −0.994314 | − | 0.106488i | \(-0.966039\pi\) |
0.918751 | − | 0.394837i | \(-0.129199\pi\) | |||||||
\(68\) | −0.727274 | + | 0.715032i | −0.0881949 | + | 0.0867103i | ||||
\(69\) | 2.27679 | + | 7.38119i | 0.274094 | + | 0.888590i | ||||
\(70\) | 2.32765 | − | 0.395483i | 0.278207 | − | 0.0472692i | ||||
\(71\) | 5.95787 | + | 3.82174i | 0.707070 | + | 0.453557i | 0.843526 | − | 0.537089i | \(-0.180476\pi\) |
−0.136456 | + | 0.990646i | \(0.543571\pi\) | |||||||
\(72\) | 0.166491 | − | 0.193466i | 0.0196212 | − | 0.0228002i | ||||
\(73\) | −0.150573 | + | 0.632390i | −0.0176233 | + | 0.0740157i | −0.980912 | − | 0.194451i | \(-0.937707\pi\) |
0.963289 | + | 0.268467i | \(0.0865170\pi\) | |||||||
\(74\) | −4.39865 | + | 4.48169i | −0.511333 | + | 0.520985i | ||||
\(75\) | 6.47323 | − | 2.06321i | 0.747465 | − | 0.238238i | ||||
\(76\) | 0.348198 | + | 0.759030i | 0.0399411 | + | 0.0870668i | ||||
\(77\) | 0.125106 | − | 0.207625i | 0.0142572 | − | 0.0236611i | ||||
\(78\) | 3.03506 | − | 7.95100i | 0.343653 | − | 0.900274i | ||||
\(79\) | 2.61040 | − | 2.28926i | 0.293693 | − | 0.257562i | −0.499800 | − | 0.866141i | \(-0.666593\pi\) |
0.793494 | + | 0.608579i | \(0.208260\pi\) | |||||||
\(80\) | 10.2986 | − | 0.675007i | 1.15142 | − | 0.0754680i | ||||
\(81\) | −4.08172 | − | 7.72299i | −0.453524 | − | 0.858110i | ||||
\(82\) | −3.42788 | − | 6.63530i | −0.378546 | − | 0.732746i | ||||
\(83\) | −1.55865 | + | 0.512890i | −0.171084 | + | 0.0562969i | −0.396844 | − | 0.917886i | \(-0.629895\pi\) |
0.225760 | + | 0.974183i | \(0.427514\pi\) | |||||||
\(84\) | −0.109039 | + | 0.226422i | −0.0118972 | + | 0.0247047i | ||||
\(85\) | 4.71840 | − | 11.4191i | 0.511782 | − | 1.23857i | ||||
\(86\) | 8.52739 | + | 1.62696i | 0.919532 | + | 0.175440i | ||||
\(87\) | 8.13280 | − | 3.36872i | 0.871928 | − | 0.361164i | ||||
\(88\) | 0.728698 | − | 0.968270i | 0.0776795 | − | 0.103218i | ||||
\(89\) | −4.93242 | + | 4.24469i | −0.522836 | + | 0.449937i | −0.873683 | − | 0.486496i | \(-0.838275\pi\) |
0.350847 | + | 0.936433i | \(0.385894\pi\) | |||||||
\(90\) | −0.103354 | + | 0.324268i | −0.0108944 | + | 0.0341809i | ||||
\(91\) | 0.230094 | − | 2.22929i | 0.0241204 | − | 0.233693i | ||||
\(92\) | 0.495041 | + | 1.00384i | 0.0516116 | + | 0.104658i | ||||
\(93\) | −0.00716527 | − | 0.0544256i | −0.000743003 | − | 0.00564367i | ||||
\(94\) | −14.2858 | − | 2.42725i | −1.47347 | − | 0.250352i | ||||
\(95\) | −7.47998 | − | 6.81138i | −0.767430 | − | 0.698832i | ||||
\(96\) | −1.24442 | + | 2.02221i | −0.127008 | + | 0.206391i | ||||
\(97\) | 0.246244 | − | 2.91935i | 0.0250023 | − | 0.296415i | −0.972877 | − | 0.231323i | \(-0.925695\pi\) |
0.997879 | − | 0.0650917i | \(-0.0207340\pi\) | |||||||
\(98\) | −1.63569 | + | 8.64483i | −0.165230 | + | 0.873259i | ||||
\(99\) | 0.0183132 | + | 0.0297594i | 0.00184055 | + | 0.00299094i | ||||
\(100\) | 0.878838 | − | 0.443658i | 0.0878838 | − | 0.0443658i | ||||
\(101\) | 3.60750 | + | 1.41584i | 0.358960 | + | 0.140881i | 0.537966 | − | 0.842967i | \(-0.319193\pi\) |
−0.179006 | + | 0.983848i | \(0.557288\pi\) | |||||||
\(102\) | −4.96437 | − | 7.88565i | −0.491546 | − | 0.780796i | ||||
\(103\) | −6.88951 | + | 2.12513i | −0.678843 | + | 0.209395i | −0.614956 | − | 0.788562i | \(-0.710826\pi\) |
−0.0638876 | + | 0.997957i | \(0.520350\pi\) | |||||||
\(104\) | 2.28843 | − | 10.9678i | 0.224399 | − | 1.07548i | ||||
\(105\) | 0.142277 | − | 3.04114i | 0.0138848 | − | 0.296785i | ||||
\(106\) | −5.16011 | + | 11.8271i | −0.501194 | + | 1.14875i | ||||
\(107\) | −1.76964 | − | 1.04389i | −0.171078 | − | 0.100916i | 0.420025 | − | 0.907513i | \(-0.362021\pi\) |
−0.591103 | + | 0.806596i | \(0.701307\pi\) | |||||||
\(108\) | −0.783545 | − | 1.04115i | −0.0753966 | − | 0.100185i | ||||
\(109\) | 5.65633 | + | 1.23550i | 0.541778 | + | 0.118339i | 0.475918 | − | 0.879490i | \(-0.342116\pi\) |
0.0658604 | + | 0.997829i | \(0.479021\pi\) | |||||||
\(110\) | −0.388959 | + | 1.56836i | −0.0370858 | + | 0.149537i | ||||
\(111\) | 4.43555 | + | 6.77454i | 0.421004 | + | 0.643011i | ||||
\(112\) | 0.585819 | − | 1.96420i | 0.0553547 | − | 0.185599i | ||||
\(113\) | −0.439095 | + | 15.6499i | −0.0413065 | + | 1.47222i | 0.655627 | + | 0.755085i | \(0.272404\pi\) |
−0.696933 | + | 0.717136i | \(0.745453\pi\) | |||||||
\(114\) | −7.45390 | + | 1.62813i | −0.698122 | + | 0.152489i | ||||
\(115\) | −10.2776 | − | 8.84456i | −0.958388 | − | 0.824760i | ||||
\(116\) | 1.08634 | − | 0.668506i | 0.100864 | − | 0.0620692i | ||||
\(117\) | 0.270282 | + | 0.176964i | 0.0249876 | + | 0.0163603i | ||||
\(118\) | 2.19345 | − | 2.75049i | 0.201923 | − | 0.253203i | ||||
\(119\) | −1.80020 | − | 1.66746i | −0.165024 | − | 0.152856i | ||||
\(120\) | 2.26843 | − | 15.0500i | 0.207078 | − | 1.37387i | ||||
\(121\) | −6.26938 | − | 8.83587i | −0.569944 | − | 0.803261i | ||||
\(122\) | 2.28215 | + | 6.72300i | 0.206616 | + | 0.608672i | ||||
\(123\) | −9.30225 | + | 2.49253i | −0.838755 | + | 0.224744i | ||||
\(124\) | −0.00227343 | − | 0.00762260i | −0.000204160 | − | 0.000684530i | ||||
\(125\) | 1.97224 | − | 2.33561i | 0.176403 | − | 0.208903i | ||||
\(126\) | 0.0532371 | + | 0.0416469i | 0.00474274 | + | 0.00371020i | ||||
\(127\) | 5.98388 | − | 5.34752i | 0.530983 | − | 0.474516i | −0.357185 | − | 0.934034i | \(-0.616264\pi\) |
0.888168 | + | 0.459518i | \(0.151978\pi\) | |||||||
\(128\) | 3.35805 | − | 8.10705i | 0.296812 | − | 0.716568i | ||||
\(129\) | 4.39609 | − | 10.2949i | 0.387054 | − | 0.906418i | ||||
\(130\) | 2.91454 | + | 14.6524i | 0.255622 | + | 1.28510i | ||||
\(131\) | −1.68547 | − | 11.9387i | −0.147260 | − | 1.04309i | −0.915324 | − | 0.402718i | \(-0.868066\pi\) |
0.768064 | − | 0.640373i | \(-0.221220\pi\) | |||||||
\(132\) | −0.112191 | − | 0.130368i | −0.00976497 | − | 0.0113471i | ||||
\(133\) | −1.78502 | + | 0.922165i | −0.154781 | + | 0.0799619i | ||||
\(134\) | 5.46990 | − | 0.512930i | 0.472528 | − | 0.0443104i | ||||
\(135\) | 13.6708 | + | 7.89282i | 1.17659 | + | 0.679306i | ||||
\(136\) | −8.09624 | − | 9.21595i | −0.694247 | − | 0.790261i | ||||
\(137\) | 7.74402 | − | 1.76752i | 0.661616 | − | 0.151010i | 0.121489 | − | 0.992593i | \(-0.461233\pi\) |
0.540127 | + | 0.841583i | \(0.318376\pi\) | |||||||
\(138\) | −9.92538 | + | 2.46154i | −0.844905 | + | 0.209540i | ||||
\(139\) | 11.1491 | + | 15.4059i | 0.945653 | + | 1.30671i | 0.951797 | + | 0.306730i | \(0.0992349\pi\) |
−0.00614369 | + | 0.999981i | \(0.501956\pi\) | |||||||
\(140\) | −0.0493929 | − | 0.438374i | −0.00417446 | − | 0.0370494i | ||||
\(141\) | −6.98881 | + | 17.3290i | −0.588564 | + | 1.45936i | ||||
\(142\) | −5.49379 | + | 7.59137i | −0.461029 | + | 0.637053i | ||||
\(143\) | 1.33545 | + | 0.754463i | 0.111676 | + | 0.0630913i | ||||
\(144\) | 0.212796 | + | 0.204982i | 0.0177330 | + | 0.0170819i | ||||
\(145\) | −8.94194 | + | 12.6025i | −0.742587 | + | 1.04658i | ||||
\(146\) | −0.824710 | − | 0.245969i | −0.0682535 | − | 0.0203565i | ||||
\(147\) | 10.4405 | + | 4.43940i | 0.861115 | + | 0.366155i | ||||
\(148\) | 0.789992 | + | 0.867537i | 0.0649369 | + | 0.0713111i | ||||
\(149\) | 3.11842 | + | 1.36055i | 0.255471 | + | 0.111461i | 0.523725 | − | 0.851887i | \(-0.324542\pi\) |
−0.268254 | + | 0.963348i | \(0.586447\pi\) | |||||||
\(150\) | 2.24661 | + | 8.70940i | 0.183435 | + | 0.711120i | ||||
\(151\) | 8.75779 | − | 9.79997i | 0.712699 | − | 0.797510i | −0.273711 | − | 0.961812i | \(-0.588251\pi\) |
0.986410 | + | 0.164302i | \(0.0525371\pi\) | |||||||
\(152\) | −9.34992 | + | 3.66957i | −0.758379 | + | 0.297642i | ||||
\(153\) | 0.332658 | − | 0.120229i | 0.0268938 | − | 0.00971994i | ||||
\(154\) | 0.265150 | + | 0.180776i | 0.0213664 | + | 0.0145674i | ||||
\(155\) | 0.0614795 | + | 0.0742029i | 0.00493815 | + | 0.00596012i | ||||
\(156\) | −1.45149 | − | 0.649501i | −0.116212 | − | 0.0520017i | ||||
\(157\) | −5.78737 | + | 2.52500i | −0.461882 | + | 0.201517i | −0.617931 | − | 0.786232i | \(-0.712029\pi\) |
0.156049 | + | 0.987749i | \(0.450124\pi\) | |||||||
\(158\) | 2.83215 | + | 3.62034i | 0.225314 | + | 0.288018i | ||||
\(159\) | 13.4796 | + | 9.75504i | 1.06900 | + | 0.773625i | ||||
\(160\) | −0.0389707 | − | 4.16788i | −0.00308091 | − | 0.329500i | ||||
\(161\) | −2.35687 | + | 1.30260i | −0.185748 | + | 0.102659i | ||||
\(162\) | 10.5112 | − | 4.82189i | 0.825834 | − | 0.378844i | ||||
\(163\) | −13.5055 | + | 14.8312i | −1.05783 | + | 1.16167i | −0.0714049 | + | 0.997447i | \(0.522748\pi\) |
−0.986424 | + | 0.164218i | \(0.947490\pi\) | |||||||
\(164\) | −1.27375 | + | 0.569967i | −0.0994633 | + | 0.0445070i | ||||
\(165\) | 1.86875 | + | 0.921566i | 0.145482 | + | 0.0717439i | ||||
\(166\) | −0.562233 | − | 2.09828i | −0.0436378 | − | 0.162858i | ||||
\(167\) | −2.80821 | + | 5.19523i | −0.217306 | + | 0.402019i | −0.965088 | − | 0.261925i | \(-0.915643\pi\) |
0.747782 | + | 0.663944i | \(0.231119\pi\) | |||||||
\(168\) | −2.64554 | − | 1.46214i | −0.204108 | − | 0.112806i | ||||
\(169\) | 1.17766 | + | 0.0882534i | 0.0905892 | + | 0.00678872i | ||||
\(170\) | 14.7433 | + | 7.08436i | 1.13076 | + | 0.543346i | ||||
\(171\) | − | 0.289621i | − | 0.0221479i | ||||||
\(172\) | 0.392854 | − | 1.57377i | 0.0299548 | − | 0.119999i | ||||
\(173\) | 22.6600 | + | 4.50735i | 1.72280 | + | 0.342687i | 0.954685 | − | 0.297619i | \(-0.0961924\pi\) |
0.768120 | + | 0.640306i | \(0.221192\pi\) | |||||||
\(174\) | 3.84903 | + | 10.9999i | 0.291795 | + | 0.833901i | ||||
\(175\) | 1.16505 | + | 2.06222i | 0.0880697 | + | 0.155889i | ||||
\(176\) | 1.07180 | + | 0.905054i | 0.0807900 | + | 0.0682210i | ||||
\(177\) | −2.86144 | − | 3.52010i | −0.215079 | − | 0.264587i | ||||
\(178\) | −5.24446 | − | 6.83471i | −0.393089 | − | 0.512283i | ||||
\(179\) | −7.19319 | + | 0.947002i | −0.537644 | + | 0.0707822i | −0.394459 | − | 0.918914i | \(-0.629068\pi\) |
−0.143186 | + | 0.989696i | \(0.545735\pi\) | |||||||
\(180\) | 0.0594106 | + | 0.0226782i | 0.00442821 | + | 0.00169034i | ||||
\(181\) | 0.442448 | + | 9.45725i | 0.0328869 | + | 0.702952i | 0.951473 | + | 0.307731i | \(0.0995698\pi\) |
−0.918586 | + | 0.395220i | \(0.870668\pi\) | |||||||
\(182\) | 2.92958 | + | 0.469617i | 0.217155 | + | 0.0348103i | ||||
\(183\) | 9.09746 | − | 1.02504i | 0.672503 | − | 0.0757729i | ||||
\(184\) | −12.3889 | + | 5.26788i | −0.913321 | + | 0.388354i | ||||
\(185\) | −12.9196 | − | 5.92677i | −0.949871 | − | 0.435745i | ||||
\(186\) | 0.0724711 | − | 0.00543095i | 0.00531384 | − | 0.000398217i | ||||
\(187\) | 1.53868 | − | 0.672898i | 0.112519 | − | 0.0492072i | ||||
\(188\) | −0.602479 | + | 2.63963i | −0.0439403 | + | 0.192515i | ||||
\(189\) | 2.41409 | − | 2.00015i | 0.175599 | − | 0.145490i | ||||
\(190\) | 9.55844 | − | 9.38135i | 0.693442 | − | 0.680595i | ||||
\(191\) | −18.6073 | − | 13.7328i | −1.34638 | − | 0.993672i | −0.998422 | − | 0.0561615i | \(-0.982114\pi\) |
−0.347956 | − | 0.937511i | \(-0.613124\pi\) | |||||||
\(192\) | −12.2338 | − | 8.50951i | −0.882900 | − | 0.614121i | ||||
\(193\) | 7.16990 | − | 5.39590i | 0.516100 | − | 0.388405i | −0.311043 | − | 0.950396i | \(-0.600678\pi\) |
0.827144 | + | 0.561990i | \(0.189964\pi\) | |||||||
\(194\) | 3.84048 | + | 0.542186i | 0.275731 | + | 0.0389267i | ||||
\(195\) | 19.2607 | + | 0.360217i | 1.37929 | + | 0.0257957i | ||||
\(196\) | 1.59559 | + | 0.395712i | 0.113971 | + | 0.0282652i | ||||
\(197\) | 4.22745 | + | 10.4821i | 0.301193 | + | 0.746819i | 0.999518 | + | 0.0310383i | \(0.00988138\pi\) |
−0.698325 | + | 0.715781i | \(0.746071\pi\) | |||||||
\(198\) | −0.0406951 | + | 0.0219972i | −0.00289207 | + | 0.00156327i | ||||
\(199\) | 13.4295 | − | 5.12632i | 0.951994 | − | 0.363395i | 0.169134 | − | 0.985593i | \(-0.445903\pi\) |
0.782860 | + | 0.622198i | \(0.213760\pi\) | |||||||
\(200\) | 4.73513 | + | 10.8530i | 0.334825 | + | 0.767426i | ||||
\(201\) | 0.858972 | − | 7.03200i | 0.0605872 | − | 0.495999i | ||||
\(202\) | −2.13923 | + | 4.66326i | −0.150516 | + | 0.328106i | ||||
\(203\) | 1.72876 | + | 2.53563i | 0.121335 | + | 0.177966i | ||||
\(204\) | −1.52311 | + | 0.843506i | −0.106639 | + | 0.0590573i | ||||
\(205\) | 11.4984 | − | 12.3924i | 0.803085 | − | 0.865519i | ||||
\(206\) | −2.29757 | − | 9.26423i | −0.160079 | − | 0.645469i | ||||
\(207\) | −0.0108870 | − | 0.388029i | −0.000756701 | − | 0.0269698i | ||||
\(208\) | 12.5277 | + | 3.35678i | 0.868639 | + | 0.232751i | ||||
\(209\) | −0.0899335 | − | 1.37212i | −0.00622083 | − | 0.0949115i | ||||
\(210\) | 4.00919 | + | 0.413804i | 0.276660 | + | 0.0285552i | ||||
\(211\) | 0.571697 | + | 6.77776i | 0.0393573 | + | 0.466600i | 0.988444 | + | 0.151586i | \(0.0484380\pi\) |
−0.949087 | + | 0.315015i | \(0.897991\pi\) | |||||||
\(212\) | 2.15233 | + | 1.08654i | 0.147822 | + | 0.0746242i | ||||
\(213\) | 8.05171 | + | 9.00987i | 0.551694 | + | 0.617346i | ||||
\(214\) | 1.51116 | − | 2.26161i | 0.103301 | − | 0.154600i | ||||
\(215\) | 3.08064 | + | 19.4073i | 0.210098 | + | 1.32357i | ||||
\(216\) | 13.0314 | − | 8.70733i | 0.886677 | − | 0.592459i | ||||
\(217\) | 0.0180637 | − | 0.00632078i | 0.00122625 | − | 0.000429082i | ||||
\(218\) | −2.05293 | + | 7.38477i | −0.139042 | + | 0.500159i | ||||
\(219\) | −0.536801 | + | 0.971268i | −0.0362736 | + | 0.0656322i | ||||
\(220\) | 0.288508 | + | 0.0889929i | 0.0194512 | + | 0.00599990i | ||||
\(221\) | 10.2274 | − | 11.6824i | 0.687966 | − | 0.785841i | ||||
\(222\) | −9.28377 | + | 5.35999i | −0.623086 | + | 0.359739i | ||||
\(223\) | −8.26299 | + | 5.86290i | −0.553330 | + | 0.392609i | −0.821023 | − | 0.570896i | \(-0.806596\pi\) |
0.267692 | + | 0.963504i | \(0.413739\pi\) | |||||||
\(224\) | −0.778736 | − | 0.280691i | −0.0520315 | − | 0.0187545i | ||||
\(225\) | −0.341192 | + | 0.0127665i | −0.0227462 | + | 0.000851101i | ||||
\(226\) | −20.6533 | − | 1.74209i | −1.37384 | − | 0.115882i | ||||
\(227\) | 4.94604 | + | 4.85441i | 0.328280 | + | 0.322198i | 0.845828 | − | 0.533456i | \(-0.179107\pi\) |
−0.517547 | + | 0.855655i | \(0.673155\pi\) | |||||||
\(228\) | 0.225643 | + | 1.40761i | 0.0149435 | + | 0.0932213i | ||||
\(229\) | 27.6752 | + | 9.10681i | 1.82883 | + | 0.601795i | 0.999044 | + | 0.0437157i | \(0.0139196\pi\) |
0.829788 | + | 0.558079i | \(0.188461\pi\) | |||||||
\(230\) | 12.4536 | − | 12.9282i | 0.821163 | − | 0.852463i | ||||
\(231\) | 0.300699 | − | 0.284286i | 0.0197846 | − | 0.0187047i | ||||
\(232\) | 7.29537 | + | 13.4965i | 0.478964 | + | 0.886090i | ||||
\(233\) | −0.185478 | + | 19.8367i | −0.0121511 | + | 1.29954i | 0.753996 | + | 0.656879i | \(0.228124\pi\) |
−0.766147 | + | 0.642665i | \(0.777829\pi\) | |||||||
\(234\) | −0.253972 | + | 0.344120i | −0.0166027 | + | 0.0224959i | ||||
\(235\) | −5.79630 | − | 32.2837i | −0.378109 | − | 2.10596i | ||||
\(236\) | −0.490135 | − | 0.438011i | −0.0319050 | − | 0.0285121i | ||||
\(237\) | 5.34014 | − | 2.57167i | 0.346879 | − | 0.167048i | ||||
\(238\) | 2.33766 | − | 2.25571i | 0.151528 | − | 0.146216i | ||||
\(239\) | −7.66466 | + | 1.15526i | −0.495785 | + | 0.0747276i | −0.392176 | − | 0.919890i | \(-0.628277\pi\) |
−0.103610 | + | 0.994618i | \(0.533039\pi\) | |||||||
\(240\) | 17.2471 | + | 3.59862i | 1.11330 | + | 0.232290i | ||||
\(241\) | −1.36459 | − | 13.2210i | −0.0879010 | − | 0.851638i | −0.942915 | − | 0.333034i | \(-0.891928\pi\) |
0.855014 | − | 0.518605i | \(-0.173548\pi\) | |||||||
\(242\) | 12.1445 | − | 7.63092i | 0.780680 | − | 0.490534i | ||||
\(243\) | 0.190194 | + | 0.870742i | 0.0122009 | + | 0.0558581i | ||||
\(244\) | 1.27811 | − | 0.355309i | 0.0818225 | − | 0.0227463i | ||||
\(245\) | −19.6641 | + | 3.15219i | −1.25629 | + | 0.201386i | ||||
\(246\) | −2.60409 | − | 12.4806i | −0.166031 | − | 0.795736i | ||||
\(247\) | −6.14956 | − | 11.1268i | −0.391287 | − | 0.707980i | ||||
\(248\) | 0.0930720 | − | 0.0221606i | 0.00591008 | − | 0.00140720i | ||||
\(249\) | −2.79808 | + | 0.130905i | −0.177321 | + | 0.00829578i | ||||
\(250\) | 2.94078 | + | 2.78026i | 0.185991 | + | 0.175839i | ||||
\(251\) | −4.67054 | + | 17.4307i | −0.294802 | + | 1.10021i | 0.646573 | + | 0.762852i | \(0.276202\pi\) |
−0.941375 | + | 0.337363i | \(0.890465\pi\) | |||||||
\(252\) | 0.00832712 | − | 0.00949526i | 0.000524559 | − | 0.000598145i | ||||
\(253\) | −0.172070 | − | 1.83496i | −0.0108179 | − | 0.115363i | ||||
\(254\) | 6.62411 | + | 8.30637i | 0.415634 | + | 0.521188i | ||||
\(255\) | 12.9816 | − | 16.6239i | 0.812942 | − | 1.04103i | ||||
\(256\) | −5.26358 | − | 2.53481i | −0.328974 | − | 0.158426i | ||||
\(257\) | −3.66119 | − | 8.83888i | −0.228378 | − | 0.551354i | 0.767602 | − | 0.640927i | \(-0.221450\pi\) |
−0.995980 | + | 0.0895726i | \(0.971450\pi\) | |||||||
\(258\) | 13.2814 | + | 6.57490i | 0.826864 | + | 0.409335i | ||||
\(259\) | −1.99612 | + | 1.99612i | −0.124033 | + | 0.124033i | ||||
\(260\) | 2.76399 | − | 0.390210i | 0.171415 | − | 0.0241998i | ||||
\(261\) | −0.439117 | + | 0.0536390i | −0.0271807 | + | 0.00332017i | ||||
\(262\) | 15.9056 | − | 1.34162i | 0.982651 | − | 0.0828856i | ||||
\(263\) | −6.64606 | − | 5.50648i | −0.409814 | − | 0.339544i | 0.410090 | − | 0.912045i | \(-0.365497\pi\) |
−0.819904 | + | 0.572501i | \(0.805973\pi\) | |||||||
\(264\) | 1.64124 | − | 1.25937i | 0.101011 | − | 0.0775086i | ||||
\(265\) | −29.1457 | − | 1.91031i | −1.79041 | − | 0.117349i | ||||
\(266\) | −1.08641 | − | 2.42788i | −0.0666118 | − | 0.148863i | ||||
\(267\) | −10.0533 | + | 4.72615i | −0.615254 | + | 0.289235i | ||||
\(268\) | −0.0383829 | − | 1.02580i | −0.00234461 | − | 0.0626610i | ||||
\(269\) | −3.77437 | − | 4.46976i | −0.230128 | − | 0.272526i | 0.636724 | − | 0.771091i | \(-0.280289\pi\) |
−0.866852 | + | 0.498566i | \(0.833860\pi\) | |||||||
\(270\) | −11.4474 | + | 17.4840i | −0.696668 | + | 1.06404i | ||||
\(271\) | 16.3739 | + | 17.6469i | 0.994645 | + | 1.07197i | 0.997406 | + | 0.0719767i | \(0.0229307\pi\) |
−0.00276082 | + | 0.999996i | \(0.500879\pi\) | |||||||
\(272\) | 11.1770 | − | 8.75921i | 0.677706 | − | 0.531105i | ||||
\(273\) | 1.39774 | − | 3.56139i | 0.0845952 | − | 0.215545i | ||||
\(274\) | 1.76145 | + | 10.3672i | 0.106413 | + | 0.626303i | ||||
\(275\) | −1.61248 | + | 0.166430i | −0.0972362 | + | 0.0100361i | ||||
\(276\) | 0.355224 | + | 1.87740i | 0.0213820 | + | 0.113006i | ||||
\(277\) | 4.79875 | − | 4.36981i | 0.288329 | − | 0.262556i | −0.516202 | − | 0.856467i | \(-0.672655\pi\) |
0.804531 | + | 0.593910i | \(0.202417\pi\) | |||||||
\(278\) | −21.1910 | + | 13.5932i | −1.27095 | + | 0.815264i | ||||
\(279\) | −0.000385642 | 0.00273163i | −2.30878e−5 | 0.000163538i | ||||||
\(280\) | 5.29768 | − | 0.297512i | 0.316597 | − | 0.0177797i | ||||
\(281\) | −0.0944415 | + | 5.04977i | −0.00563391 | + | 0.301244i | 0.985598 | + | 0.169107i | \(0.0540885\pi\) |
−0.991232 | + | 0.132137i | \(0.957816\pi\) | |||||||
\(282\) | −22.3865 | − | 10.5241i | −1.33310 | − | 0.626699i | ||||
\(283\) | −5.86246 | + | 13.7872i | −0.348487 | + | 0.819563i | 0.649746 | + | 0.760151i | \(0.274875\pi\) |
−0.998234 | + | 0.0594124i | \(0.981077\pi\) | |||||||
\(284\) | 1.35864 | + | 1.10442i | 0.0806205 | + | 0.0655352i | ||||
\(285\) | −9.18822 | − | 14.6230i | −0.544263 | − | 0.866190i | ||||
\(286\) | −1.09637 | + | 1.70918i | −0.0648298 | + | 0.101066i | ||||
\(287\) | −1.51301 | − | 2.99712i | −0.0893104 | − | 0.176914i | ||||
\(288\) | 0.0874714 | − | 0.0811616i | 0.00515430 | − | 0.00478250i | ||||
\(289\) | −3.50098 | − | 16.6356i | −0.205940 | − | 0.978565i | ||||
\(290\) | −15.9941 | − | 12.7548i | −0.939204 | − | 0.748990i | ||||
\(291\) | 1.73982 | − | 4.68896i | 0.101990 | − | 0.274872i | ||||
\(292\) | −0.0545265 | + | 0.151276i | −0.00319092 | + | 0.00885274i | ||||
\(293\) | −18.3700 | − | 11.5426i | −1.07319 | − | 0.674329i | −0.125038 | − | 0.992152i | \(-0.539905\pi\) |
−0.948150 | + | 0.317823i | \(0.897048\pi\) | |||||||
\(294\) | −6.64294 | + | 13.4706i | −0.387424 | + | 0.785619i | ||||
\(295\) | 7.54058 | + | 2.55968i | 0.439029 | + | 0.149030i | ||||
\(296\) | −10.9509 | + | 8.90183i | −0.636509 | + | 0.517408i | ||||
\(297\) | 0.593982 | + | 2.06176i | 0.0344663 | + | 0.119635i | ||||
\(298\) | −2.02984 | + | 4.02090i | −0.117586 | + | 0.232924i | ||||
\(299\) | −8.65731 | − | 14.6763i | −0.500665 | − | 0.848750i | ||||
\(300\) | 1.64831 | − | 0.327869i | 0.0951651 | − | 0.0189295i | ||||
\(301\) | 3.82641 | + | 0.767196i | 0.220550 | + | 0.0442204i | ||||
\(302\) | 12.3034 | + | 12.3034i | 0.707981 | + | 0.707981i | ||||
\(303\) | 5.28602 | + | 3.97814i | 0.303674 | + | 0.228538i | ||||
\(304\) | −3.63431 | − | 11.0445i | −0.208442 | − | 0.633447i | ||||
\(305\) | −12.5646 | + | 10.0199i | −0.719445 | + | 0.573738i | ||||
\(306\) | 0.134224 | + | 0.448629i | 0.00767309 | + | 0.0256464i | ||||
\(307\) | −1.44599 | + | 2.50453i | −0.0825269 | + | 0.142941i | −0.904335 | − | 0.426824i | \(-0.859632\pi\) |
0.821808 | + | 0.569765i | \(0.192966\pi\) | |||||||
\(308\) | 0.0365024 | − | 0.0475708i | 0.00207992 | − | 0.00271060i | ||||
\(309\) | −12.3031 | + | 0.345191i | −0.699898 | + | 0.0196372i | ||||
\(310\) | −0.102644 | + | 0.0757549i | −0.00582980 | + | 0.00430259i | ||||
\(311\) | 3.43037 | − | 21.3994i | 0.194519 | − | 1.21345i | −0.681734 | − | 0.731600i | \(-0.738774\pi\) |
0.876253 | − | 0.481852i | \(-0.160036\pi\) | |||||||
\(312\) | 8.77866 | − | 16.9927i | 0.496994 | − | 0.962024i | ||||
\(313\) | −32.1425 | + | 0.300541i | −1.81680 | + | 0.0169876i | −0.912310 | − | 0.409500i | \(-0.865703\pi\) |
−0.904494 | + | 0.426487i | \(0.859751\pi\) | |||||||
\(314\) | −2.90792 | − | 7.83711i | −0.164104 | − | 0.442274i | ||||
\(315\) | −0.0478226 | + | 0.145331i | −0.00269450 | + | 0.00818848i | ||||
\(316\) | 0.705058 | − | 0.490419i | 0.0396626 | − | 0.0275882i | ||||
\(317\) | 1.73043 | + | 0.0485512i | 0.0971908 | + | 0.00272691i | 0.0766085 | − | 0.997061i | \(-0.475591\pi\) |
0.0205823 | + | 0.999788i | \(0.493448\pi\) | |||||||
\(318\) | −13.8947 | + | 17.0931i | −0.779176 | + | 0.958532i | ||||
\(319\) | −2.06372 | + | 0.390477i | −0.115546 | + | 0.0218625i | ||||
\(320\) | 26.1308 | + | 1.22250i | 1.46076 | + | 0.0683400i | ||||
\(321\) | −2.43330 | − | 2.52605i | −0.135814 | − | 0.140990i | ||||
\(322\) | −1.54681 | − | 3.21198i | −0.0862003 | − | 0.178997i | ||||
\(323\) | −13.7845 | − | 1.93392i | −0.766988 | − | 0.107606i | ||||
\(324\) | −0.789421 | − | 2.01141i | −0.0438567 | − | 0.111745i | ||||
\(325\) | −12.8370 | + | 7.73504i | −0.712068 | + | 0.429063i | ||||
\(326\) | −18.6012 | − | 18.9523i | −1.03022 | − | 1.04967i | ||||
\(327\) | 8.73826 | + | 4.61830i | 0.483227 | + | 0.255393i | ||||
\(328\) | −5.98564 | − | 15.6807i | −0.330502 | − | 0.865822i | ||||
\(329\) | −6.41156 | − | 1.15115i | −0.353481 | − | 0.0634647i | ||||
\(330\) | −1.35683 | + | 2.40169i | −0.0746913 | + | 0.132209i | ||||
\(331\) | −15.0930 | + | 5.60017i | −0.829584 | + | 0.307813i | −0.726765 | − | 0.686887i | \(-0.758977\pi\) |
−0.102820 | + | 0.994700i | \(0.532786\pi\) | |||||||
\(332\) | −0.397333 | + | 0.0829037i | −0.0218065 | + | 0.00454993i | ||||
\(333\) | −0.123575 | − | 0.387713i | −0.00677188 | − | 0.0212465i | ||||
\(334\) | −6.65854 | − | 4.09751i | −0.364339 | − | 0.224206i | ||||
\(335\) | 5.29065 | + | 11.2541i | 0.289059 | + | 0.614879i | ||||
\(336\) | 1.86161 | − | 2.96273i | 0.101559 | − | 0.161630i | ||||
\(337\) | 13.9967 | − | 4.75124i | 0.762450 | − | 0.258817i | 0.0869855 | − | 0.996210i | \(-0.472277\pi\) |
0.675464 | + | 0.737393i | \(0.263943\pi\) | |||||||
\(338\) | −0.204070 | + | 1.55007i | −0.0111000 | + | 0.0843125i | ||||
\(339\) | −7.87780 | + | 25.5392i | −0.427863 | + | 1.38710i | ||||
\(340\) | 1.47607 | − | 2.67620i | 0.0800514 | − | 0.145137i | ||||
\(341\) | −0.000978802 | 0.0130612i | −5.30051e−5 | 0.000707304i | ||||||
\(342\) | 0.382818 | + | 0.0214986i | 0.0207004 | + | 0.00116251i | ||||
\(343\) | −1.58435 | + | 7.96505i | −0.0855467 | + | 0.430073i | ||||
\(344\) | 18.6343 | + | 5.77908i | 1.00469 | + | 0.311587i | ||||
\(345\) | −12.8599 | − | 19.2462i | −0.692352 | − | 1.03618i | ||||
\(346\) | −7.63981 | + | 29.6171i | −0.410719 | + | 1.59223i | ||||
\(347\) | 19.5288 | − | 24.9636i | 1.04836 | − | 1.34012i | 0.110201 | − | 0.993909i | \(-0.464850\pi\) |
0.938158 | − | 0.346207i | \(-0.112530\pi\) | |||||||
\(348\) | 2.09240 | − | 0.602810i | 0.112164 | − | 0.0323140i | ||||
\(349\) | −9.56005 | + | 11.5385i | −0.511738 | + | 0.617644i | −0.961266 | − | 0.275623i | \(-0.911116\pi\) |
0.449528 | + | 0.893266i | \(0.351592\pi\) | |||||||
\(350\) | −2.81231 | + | 1.38688i | −0.150324 | + | 0.0741316i | ||||
\(351\) | 13.0796 | + | 14.9144i | 0.698135 | + | 0.796070i | ||||
\(352\) | 0.389205 | − | 0.411676i | 0.0207447 | − | 0.0219424i | ||||
\(353\) | −20.9069 | − | 28.3279i | −1.11276 | − | 1.50774i | −0.837554 | − | 0.546355i | \(-0.816015\pi\) |
−0.275209 | − | 0.961384i | \(-0.588747\pi\) | |||||||
\(354\) | 4.86524 | − | 3.52092i | 0.258585 | − | 0.187135i | ||||
\(355\) | −20.3821 | − | 5.87198i | −1.08177 | − | 0.311652i | ||||
\(356\) | −1.32998 | + | 0.906768i | −0.0704890 | + | 0.0480586i | ||||
\(357\) | −2.19845 | − | 3.56563i | −0.116354 | − | 0.188713i | ||||
\(358\) | −0.717786 | − | 9.57818i | −0.0379361 | − | 0.506223i | ||||
\(359\) | −0.372023 | − | 19.8920i | −0.0196346 | − | 1.04986i | −0.860757 | − | 0.509016i | \(-0.830009\pi\) |
0.841122 | − | 0.540845i | \(-0.181895\pi\) | |||||||
\(360\) | −0.312406 | + | 0.698160i | −0.0164653 | + | 0.0367963i | ||||
\(361\) | 3.55258 | − | 6.72181i | 0.186978 | − | 0.353779i | ||||
\(362\) | −12.5333 | − | 0.117190i | −0.658737 | − | 0.00615936i | ||||
\(363\) | −6.27145 | − | 17.3992i | −0.329166 | − | 0.913221i | ||||
\(364\) | 0.118301 | − | 0.541603i | 0.00620065 | − | 0.0283877i | ||||
\(365\) | −0.109227 | − | 1.94496i | −0.00571719 | − | 0.101804i | ||||
\(366\) | 0.679578 | + | 12.1010i | 0.0355221 | + | 0.632530i | ||||
\(367\) | 1.10839 | − | 5.07441i | 0.0578574 | − | 0.264882i | −0.939018 | − | 0.343867i | \(-0.888263\pi\) |
0.996876 | + | 0.0789849i | \(0.0251679\pi\) | |||||||
\(368\) | −5.28434 | − | 14.6606i | −0.275465 | − | 0.764237i | ||||
\(369\) | 0.483946 | + | 0.00452502i | 0.0251932 | + | 0.000235563i | ||||
\(370\) | 8.79297 | − | 16.6371i | 0.457125 | − | 0.864922i | ||||
\(371\) | −2.36929 | + | 5.29484i | −0.123007 | + | 0.274894i | ||||
\(372\) | −0.000253912 | − | 0.0135766i | −1.31647e−5 | − | 0.000703916i | ||||
\(373\) | −0.267903 | − | 3.57492i | −0.0138715 | − | 0.185102i | −0.999835 | − | 0.0181435i | \(-0.994224\pi\) |
0.985964 | − | 0.166959i | \(-0.0533946\pi\) | |||||||
\(374\) | 0.775214 | + | 2.08376i | 0.0400854 | + | 0.107749i | ||||
\(375\) | 4.31172 | − | 2.93968i | 0.222656 | − | 0.151805i | ||||
\(376\) | −31.2927 | − | 9.01527i | −1.61380 | − | 0.464927i | ||||
\(377\) | −15.7313 | + | 11.3845i | −0.810201 | + | 0.586334i | ||||
\(378\) | 2.46458 | + | 3.33939i | 0.126764 | + | 0.171760i | ||||
\(379\) | 23.8434 | − | 25.2199i | 1.22475 | − | 1.29546i | 0.283012 | − | 0.959116i | \(-0.408666\pi\) |
0.941739 | − | 0.336345i | \(-0.109191\pi\) | |||||||
\(380\) | −1.64999 | − | 1.88145i | −0.0846425 | − | 0.0965162i | ||||
\(381\) | 12.2869 | − | 6.05925i | 0.629479 | − | 0.310425i | ||||
\(382\) | 19.5331 | − | 23.5756i | 0.999402 | − | 1.20623i | ||||
\(383\) | −6.13496 | + | 1.76745i | −0.313482 | + | 0.0903126i | −0.429869 | − | 0.902891i | \(-0.641440\pi\) |
0.116387 | + | 0.993204i | \(0.462869\pi\) | |||||||
\(384\) | 9.22988 | − | 11.7985i | 0.471010 | − | 0.602092i | ||||
\(385\) | −0.181438 | + | 0.703375i | −0.00924691 | + | 0.0358473i | ||||
\(386\) | 6.60002 | + | 9.87763i | 0.335932 | + | 0.502758i | ||||
\(387\) | −0.351420 | + | 0.439289i | −0.0178637 | + | 0.0223303i | ||||
\(388\) | 0.141382 | − | 0.710776i | 0.00717759 | − | 0.0360842i | ||||
\(389\) | −36.1605 | − | 2.03073i | −1.83341 | − | 0.102962i | −0.894488 | − | 0.447091i | \(-0.852460\pi\) |
−0.938922 | + | 0.344129i | \(0.888174\pi\) | |||||||
\(390\) | −1.90586 | + | 25.4319i | −0.0965068 | + | 1.28779i | ||||
\(391\) | −18.5408 | − | 2.07286i | −0.937650 | − | 0.104829i | ||||
\(392\) | −5.82812 | + | 18.8943i | −0.294365 | + | 0.954307i | ||||
\(393\) | 2.68659 | − | 20.4067i | 0.135521 | − | 1.02938i | ||||
\(394\) | −14.1689 | + | 4.80971i | −0.713821 | + | 0.242310i | ||||
\(395\) | −5.53548 | + | 8.80967i | −0.278520 | + | 0.443262i | ||||
\(396\) | 0.00367731 | + | 0.00782228i | 0.000184792 | + | 0.000393084i | ||||
\(397\) | 29.0238 | + | 17.8606i | 1.45666 | + | 0.896396i | 0.999977 | + | 0.00676862i | \(0.00215454\pi\) |
0.456687 | + | 0.889627i | \(0.349036\pi\) | |||||||
\(398\) | 5.77904 | + | 18.1315i | 0.289677 | + | 0.908852i | ||||
\(399\) | −3.35753 | + | 0.700551i | −0.168087 | + | 0.0350714i | ||||
\(400\) | −12.8510 | + | 4.76829i | −0.642548 | + | 0.238414i | ||||
\(401\) | 8.56142 | − | 15.1543i | 0.427537 | − | 0.756769i | −0.570373 | − | 0.821386i | \(-0.693201\pi\) |
0.997910 | + | 0.0646166i | \(0.0205824\pi\) | |||||||
\(402\) | 9.23107 | + | 1.65737i | 0.460404 | + | 0.0826620i | ||||
\(403\) | 0.0431852 | + | 0.113133i | 0.00215121 | + | 0.00563556i | ||||
\(404\) | 0.847537 | + | 0.447936i | 0.0421665 | + | 0.0222857i | ||||
\(405\) | 18.3357 | + | 18.6818i | 0.911109 | + | 0.928308i | ||||
\(406\) | −3.47989 | + | 2.09684i | −0.172704 | + | 0.104064i | ||||
\(407\) | −0.705847 | − | 1.79847i | −0.0349876 | − | 0.0891468i | ||||
\(408\) | −9.10237 | − | 18.8596i | −0.450634 | − | 0.933691i | ||||
\(409\) | −13.8422 | − | 28.7436i | −0.684452 | − | 1.42128i | −0.896064 | − | 0.443926i | \(-0.853585\pi\) |
0.211612 | − | 0.977354i | \(-0.432129\pi\) | |||||||
\(410\) | 15.5266 | + | 16.1184i | 0.766802 | + | 0.796030i | ||||
\(411\) | 13.5450 | + | 0.633690i | 0.668126 | + | 0.0312576i | ||||
\(412\) | −1.75235 | + | 0.331562i | −0.0863319 | + | 0.0163349i | ||||
\(413\) | 0.997561 | − | 1.22719i | 0.0490868 | − | 0.0603859i | ||||
\(414\) | 0.513700 | + | 0.0144130i | 0.0252470 | + | 0.000708362i | ||||
\(415\) | 4.03663 | − | 2.80777i | 0.198150 | − | 0.137828i | ||||
\(416\) | 1.63720 | − | 4.97539i | 0.0802703 | − | 0.243938i | ||||
\(417\) | 11.2933 | + | 30.4363i | 0.553033 | + | 1.49047i | ||||
\(418\) | 1.82033 | − | 0.0170205i | 0.0890352 | − | 0.000832502i | ||||
\(419\) | 7.95798 | − | 15.4042i | 0.388773 | − | 0.752543i | −0.610446 | − | 0.792058i | \(-0.709010\pi\) |
0.999219 | + | 0.0395151i | \(0.0125813\pi\) | |||||||
\(420\) | 0.119199 | − | 0.743593i | 0.00581633 | − | 0.0362836i | ||||
\(421\) | −1.46529 | + | 1.08144i | −0.0714141 | + | 0.0527060i | −0.628942 | − | 0.777452i | \(-0.716512\pi\) |
0.557528 | + | 0.830158i | \(0.311750\pi\) | |||||||
\(422\) | −9.00121 | + | 0.252550i | −0.438172 | + | 0.0122939i | ||||
\(423\) | 0.571633 | − | 0.744967i | 0.0277938 | − | 0.0362215i | ||||
\(424\) | −14.4997 | + | 25.1142i | −0.704168 | + | 1.21965i | ||||
\(425\) | −1.67066 | + | 16.3242i | −0.0810390 | + | 0.791841i | ||||
\(426\) | −12.5068 | + | 9.97386i | −0.605958 | + | 0.483235i | ||||
\(427\) | 0.997617 | + | 3.03172i | 0.0482781 | + | 0.146715i | ||||
\(428\) | −0.406080 | − | 0.305606i | −0.0196286 | − | 0.0147720i | ||||
\(429\) | 1.85150 | + | 1.85150i | 0.0893912 | + | 0.0893912i | ||||
\(430\) | −25.8811 | + | 2.63135i | −1.24810 | + | 0.126895i | ||||
\(431\) | −15.2684 | + | 3.03708i | −0.735453 | + | 0.146291i | −0.548586 | − | 0.836094i | \(-0.684834\pi\) |
−0.186868 | + | 0.982385i | \(0.559834\pi\) | |||||||
\(432\) | 9.21784 | + | 15.6265i | 0.443493 | + | 0.751830i | ||||
\(433\) | −3.28887 | + | 6.51489i | −0.158053 | + | 0.313085i | −0.957892 | − | 0.287129i | \(-0.907299\pi\) |
0.799839 | + | 0.600215i | \(0.204918\pi\) | |||||||
\(434\) | 0.00701386 | + | 0.0243457i | 0.000336676 | + | 0.00116863i | ||||
\(435\) | −20.4693 | + | 16.6392i | −0.981430 | + | 0.797789i | ||||
\(436\) | 1.35615 | + | 0.460350i | 0.0649477 | + | 0.0220468i | ||||
\(437\) | −6.75625 | + | 13.7003i | −0.323195 | + | 0.655375i | ||||
\(438\) | −1.24396 | − | 0.781635i | −0.0594389 | − | 0.0373480i | ||||
\(439\) | 6.84946 | − | 19.0028i | 0.326907 | − | 0.906955i | −0.660789 | − | 0.750571i | \(-0.729778\pi\) |
0.987696 | − | 0.156383i | \(-0.0499836\pi\) | |||||||
\(440\) | −1.26327 | + | 3.40463i | −0.0602242 | + | 0.162310i | ||||
\(441\) | −0.445753 | − | 0.355476i | −0.0212263 | − | 0.0169274i | ||||
\(442\) | 14.6824 | + | 14.3856i | 0.698373 | + | 0.684253i | ||||
\(443\) | −16.8720 | + | 15.6549i | −0.801612 | + | 0.743787i | −0.970306 | − | 0.241881i | \(-0.922236\pi\) |
0.168694 | + | 0.985668i | \(0.446045\pi\) | |||||||
\(444\) | 0.902663 | + | 1.78808i | 0.0428385 | + | 0.0848583i | ||||
\(445\) | 10.5287 | − | 16.4137i | 0.499110 | − | 0.778084i | ||||
\(446\) | −7.13616 | − | 11.3571i | −0.337907 | − | 0.537776i | ||||
\(447\) | 4.50689 | + | 3.66358i | 0.213168 | + | 0.173281i | ||||
\(448\) | 2.03293 | − | 4.78100i | 0.0960470 | − | 0.225881i | ||||
\(449\) | 18.2789 | + | 8.59307i | 0.862637 | + | 0.405532i | 0.805332 | − | 0.592825i | \(-0.201987\pi\) |
0.0573053 | + | 0.998357i | \(0.481749\pi\) | |||||||
\(450\) | 0.00845210 | − | 0.451932i | 0.000398436 | − | 0.0213043i | ||||
\(451\) | 2.29417 | − | 0.128838i | 0.108028 | − | 0.00606673i | ||||
\(452\) | −0.541370 | + | 3.83470i | −0.0254639 | + | 0.180369i | ||||
\(453\) | 18.8851 | − | 12.1140i | 0.887298 | − | 0.569167i | ||||
\(454\) | −6.78365 | + | 6.17729i | −0.318373 | + | 0.289914i | ||||
\(455\) | 1.24856 | + | 6.59881i | 0.0585335 | + | 0.309357i | ||||
\(456\) | −17.0560 | + | 1.76041i | −0.798719 | + | 0.0824389i | ||||
\(457\) | −5.76353 | − | 33.9217i | −0.269607 | − | 1.58679i | −0.720009 | − | 0.693965i | \(-0.755862\pi\) |
0.450402 | − | 0.892826i | \(-0.351281\pi\) | |||||||
\(458\) | −14.0916 | + | 35.9049i | −0.658458 | + | 1.67772i | ||||
\(459\) | 21.6574 | − | 1.64178i | 1.01088 | − | 0.0766318i | ||||
\(460\) | −2.28134 | − | 2.45870i | −0.106368 | − | 0.114637i | ||||
\(461\) | 1.82179 | − | 2.78247i | 0.0848492 | − | 0.129593i | −0.791690 | − | 0.610923i | \(-0.790799\pi\) |
0.876539 | + | 0.481330i | \(0.159846\pi\) | |||||||
\(462\) | 0.353445 | + | 0.418564i | 0.0164438 | + | 0.0194733i | ||||
\(463\) | 0.425112 | + | 11.3614i | 0.0197566 | + | 0.528008i | 0.973675 | + | 0.227941i | \(0.0731993\pi\) |
−0.953918 | + | 0.300066i | \(0.902991\pi\) | |||||||
\(464\) | −16.0724 | + | 7.55575i | −0.746142 | + | 0.350767i | ||||
\(465\) | 0.0671897 | + | 0.150154i | 0.00311585 | + | 0.00696324i | ||||
\(466\) | −26.2062 | − | 1.71764i | −1.21398 | − | 0.0795682i | ||||
\(467\) | 20.1081 | − | 15.4295i | 0.930492 | − | 0.713992i | −0.0278509 | − | 0.999612i | \(-0.508866\pi\) |
0.958343 | + | 0.285621i | \(0.0921997\pi\) | |||||||
\(468\) | 0.0615361 | + | 0.0509847i | 0.00284451 | + | 0.00235677i | ||||
\(469\) | 2.46099 | − | 0.207582i | 0.113638 | − | 0.00958526i | ||||
\(470\) | 43.1026 | − | 5.26506i | 1.98817 | − | 0.242859i | ||||
\(471\) | −10.6732 | + | 1.50680i | −0.491795 | + | 0.0694299i | ||||
\(472\) | 5.59056 | − | 5.59056i | 0.257327 | − | 0.257327i | ||||
\(473\) | −1.52849 | + | 2.19031i | −0.0702801 | + | 0.100711i | ||||
\(474\) | 3.00281 | + | 7.24943i | 0.137924 | + | 0.332978i | ||||
\(475\) | 12.1054 | + | 5.82964i | 0.555432 | + | 0.267482i | ||||
\(476\) | −0.396321 | − | 0.459731i | −0.0181653 | − | 0.0210717i | ||||
\(477\) | −0.521353 | − | 0.653756i | −0.0238711 | − | 0.0299334i | ||||
\(478\) | −0.958064 | − | 10.2168i | −0.0438208 | − | 0.467306i | ||||
\(479\) | 25.7442 | − | 29.3556i | 1.17628 | − | 1.34129i | 0.248291 | − | 0.968686i | \(-0.420131\pi\) |
0.927990 | − | 0.372605i | \(-0.121535\pi\) | |||||||
\(480\) | 1.84158 | − | 6.87288i | 0.0840563 | − | 0.313702i | ||||
\(481\) | −12.9799 | − | 12.2714i | −0.591833 | − | 0.559529i | ||||
\(482\) | 17.5767 | − | 0.822306i | 0.800595 | − | 0.0374550i | ||||
\(483\) | −4.47202 | + | 1.06480i | −0.203484 | + | 0.0484499i | ||||
\(484\) | −1.29634 | − | 2.34555i | −0.0589246 | − | 0.106616i | ||||
\(485\) | 1.79319 | + | 8.59423i | 0.0814246 | + | 0.390244i | ||||
\(486\) | −1.16506 | + | 0.186761i | −0.0528480 | + | 0.00847163i | ||||
\(487\) | 12.1422 | − | 3.37550i | 0.550218 | − | 0.152958i | 0.0184210 | − | 0.999830i | \(-0.494136\pi\) |
0.531797 | + | 0.846872i | \(0.321517\pi\) | |||||||
\(488\) | 3.40490 | + | 15.5883i | 0.154132 | + | 0.705647i | ||||
\(489\) | −28.9941 | + | 18.2182i | −1.31116 | + | 0.823856i | ||||
\(490\) | −2.70687 | − | 26.2258i | −0.122284 | − | 1.18476i | ||||
\(491\) | 39.6857 | + | 8.28045i | 1.79099 | + | 0.373692i | 0.978003 | − | 0.208589i | \(-0.0668871\pi\) |
0.812988 | + | 0.582281i | \(0.197839\pi\) | |||||||
\(492\) | −2.35559 | + | 0.355048i | −0.106198 | + | 0.0160068i | ||||
\(493\) | −0.379231 | + | 21.2579i | −0.0170797 | + | 0.957406i | ||||
\(494\) | 15.1637 | − | 7.30248i | 0.682249 | − | 0.328554i | ||||
\(495\) | −0.0780771 | − | 0.0697739i | −0.00350930 | − | 0.00313610i | ||||
\(496\) | 0.0195716 | + | 0.109008i | 0.000878790 | + | 0.00489461i | ||||
\(497\) | −2.50148 | + | 3.38939i | −0.112207 | + | 0.152035i | ||||
\(498\) | 0.0346725 | − | 3.70819i | 0.00155371 | − | 0.166168i | ||||
\(499\) | 9.36432 | + | 17.3241i | 0.419205 | + | 0.775534i | 0.999237 | − | 0.0390596i | \(-0.0124362\pi\) |
−0.580032 | + | 0.814594i | \(0.696960\pi\) | |||||||
\(500\) | 0.549478 | − | 0.519485i | 0.0245734 | − | 0.0232321i | ||||
\(501\) | −6.99418 | + | 7.26077i | −0.312477 | + | 0.324387i | ||||
\(502\) | −22.6930 | − | 7.46735i | −1.01284 | − | 0.333284i | ||||
\(503\) | −3.19965 | − | 19.9601i | −0.142665 | − | 0.889978i | −0.952770 | − | 0.303693i | \(-0.901780\pi\) |
0.810105 | − | 0.586285i | \(-0.199410\pi\) | |||||||
\(504\) | 0.108411 | + | 0.106403i | 0.00482903 | + | 0.00473956i | ||||
\(505\) | −11.5721 | − | 0.976094i | −0.514951 | − | 0.0434356i | ||||
\(506\) | 2.43820 | − | 0.0912310i | 0.108391 | − | 0.00405571i | ||||
\(507\) | 1.89659 | + | 0.683614i | 0.0842303 | + | 0.0303604i | ||||
\(508\) | 1.61898 | − | 1.14873i | 0.0718307 | − | 0.0509666i | ||||
\(509\) | −21.2424 | + | 12.2643i | −0.941554 | + | 0.543607i | −0.890447 | − | 0.455087i | \(-0.849608\pi\) |
−0.0511071 | + | 0.998693i | \(0.516275\pi\) | |||||||
\(510\) | 21.0097 | + | 18.3930i | 0.930325 | + | 0.814455i | ||||
\(511\) | −0.369691 | − | 0.114035i | −0.0163542 | − | 0.00504459i | ||||
\(512\) | 12.2305 | − | 22.1294i | 0.540516 | − | 0.977989i | ||||
\(513\) | 4.76320 | − | 17.1340i | 0.210300 | − | 0.756487i | ||||
\(514\) | 11.9549 | − | 4.18321i | 0.527309 | − | 0.184513i | ||||
\(515\) | 17.9641 | − | 12.0032i | 0.791594 | − | 0.528926i | ||||
\(516\) | 1.36572 | − | 2.40881i | 0.0601223 | − | 0.106042i | ||||
\(517\) | 2.47686 | − | 3.70688i | 0.108932 | − | 0.163029i | ||||
\(518\) | −2.49028 | − | 2.78663i | −0.109417 | − | 0.122437i | ||||
\(519\) | 35.2087 | + | 17.7742i | 1.54549 | + | 0.780200i | ||||
\(520\) | 2.82194 | + | 33.4555i | 0.123750 | + | 1.46712i | ||||
\(521\) | −36.7533 | − | 3.79346i | −1.61019 | − | 0.166194i | −0.744799 | − | 0.667288i | \(-0.767455\pi\) |
−0.865393 | + | 0.501094i | \(0.832931\pi\) | |||||||
\(522\) | −0.0383038 | − | 0.584403i | −0.00167651 | − | 0.0255786i | ||||
\(523\) | −29.8104 | − | 7.98767i | −1.30352 | − | 0.349276i | −0.460738 | − | 0.887536i | \(-0.652415\pi\) |
−0.842779 | + | 0.538260i | \(0.819082\pi\) | |||||||
\(524\) | −0.0836472 | − | 2.98130i | −0.00365415 | − | 0.130239i | ||||
\(525\) | 0.973294 | + | 3.92451i | 0.0424780 | + | 0.171279i | ||||
\(526\) | 7.77175 | − | 8.37595i | 0.338864 | − | 0.365209i | ||||
\(527\) | 0.127436 | + | 0.0365947i | 0.00555120 | + | 0.00159409i | ||||
\(528\) | 1.34901 | + | 1.97863i | 0.0587081 | + | 0.0861089i | ||||
\(529\) | 1.05322 | − | 2.29590i | 0.0457922 | − | 0.0998216i | ||||
\(530\) | 4.68851 | − | 38.3827i | 0.203656 | − | 1.66724i | ||||
\(531\) | 0.0911647 | + | 0.208952i | 0.00395621 | + | 0.00906773i | ||||
\(532\) | −0.464311 | + | 0.177237i | −0.0201305 | + | 0.00768420i | ||||
\(533\) | 18.6885 | − | 10.1018i | 0.809490 | − | 0.437559i | ||||
\(534\) | −5.50071 | − | 13.6392i | −0.238039 | − | 0.590226i | ||||
\(535\) | 5.97585 | + | 1.48204i | 0.258358 | + | 0.0640740i | ||||
\(536\) | 12.3446 | + | 0.230871i | 0.533207 | + | 0.00997210i | ||||
\(537\) | −12.2639 | − | 1.73137i | −0.529226 | − | 0.0747143i | ||||
\(538\) | 6.18825 | − | 4.65714i | 0.266794 | − | 0.200783i | ||||
\(539\) | −2.22220 | − | 1.54570i | −0.0957168 | − | 0.0665780i | ||||
\(540\) | 3.14177 | + | 2.31873i | 0.135200 | + | 0.0997824i | ||||
\(541\) | −27.3627 | + | 26.8557i | −1.17641 | + | 1.15462i | −0.191515 | + | 0.981490i | \(0.561340\pi\) |
−0.984899 | + | 0.173128i | \(0.944612\pi\) | |||||||
\(542\) | −24.5409 | + | 20.3330i | −1.05412 | + | 0.873375i | ||||
\(543\) | −3.59642 | + | 15.7570i | −0.154337 | + | 0.676196i | ||||
\(544\) | −3.27879 | − | 4.70513i | −0.140577 | − | 0.201731i | ||||
\(545\) | −17.3011 | + | 1.29654i | −0.741099 | + | 0.0555377i | ||||
\(546\) | 4.60365 | + | 2.11188i | 0.197018 | + | 0.0903803i | ||||
\(547\) | 7.60157 | − | 3.23227i | 0.325020 | − | 0.138202i | −0.222645 | − | 0.974900i | \(-0.571469\pi\) |
0.547665 | + | 0.836698i | \(0.315517\pi\) | |||||||
\(548\) | 1.95249 | − | 0.219992i | 0.0834061 | − | 0.00939761i | ||||
\(549\) | −0.454278 | − | 0.0728217i | −0.0193881 | − | 0.00310795i | ||||
\(550\) | −0.100291 | − | 2.14371i | −0.00427644 | − | 0.0914082i | ||||
\(551\) | 16.2639 | + | 6.20826i | 0.692865 | + | 0.264481i | ||||
\(552\) | −22.7851 | + | 2.99971i | −0.969796 | + | 0.127676i | ||||
\(553\) | 1.25790 | + | 1.63932i | 0.0534912 | + | 0.0697110i | ||||
\(554\) | 5.41976 | + | 6.66731i | 0.230263 | + | 0.283267i | ||||
\(555\) | −18.5395 | − | 15.6552i | −0.786958 | − | 0.664526i | ||||
\(556\) | 2.31384 | + | 4.09566i | 0.0981288 | + | 0.173695i | ||||
\(557\) | 7.46020 | + | 21.3200i | 0.316099 | + | 0.903359i | 0.986845 | + | 0.161671i | \(0.0516885\pi\) |
−0.670746 | + | 0.741687i | \(0.734026\pi\) | |||||||
\(558\) | −0.00358201 | 0.000712506i | −0.000151639 | 3.01628e-5i | ||||||
\(559\) | −4.17353 | + | 24.3385i | −0.176521 | + | 1.02941i | ||||
\(560\) | 6.14221i | 0.259556i | ||||||||
\(561\) | 2.83839 | − | 0.403210i | 0.119837 | − | 0.0170235i | ||||
\(562\) | −6.66772 | − | 0.499677i | −0.281261 | − | 0.0210776i | ||||
\(563\) | 15.3994 | + | 8.51096i | 0.649008 | + | 0.358694i | 0.773746 | − | 0.633496i | \(-0.218381\pi\) |
−0.124738 | + | 0.992190i | \(0.539809\pi\) | |||||||
\(564\) | −2.19784 | + | 4.06603i | −0.0925457 | + | 0.171211i | ||||
\(565\) | −12.1427 | − | 45.3171i | −0.510847 | − | 1.90651i | ||||
\(566\) | −17.7886 | − | 8.77236i | −0.747710 | − | 0.368730i | ||||
\(567\) | 4.74525 | − | 2.12336i | 0.199282 | − | 0.0891729i | ||||
\(568\) | −14.1791 | + | 15.5709i | −0.594941 | + | 0.653341i | ||||
\(569\) | −33.5580 | + | 15.3944i | −1.40682 | + | 0.645367i | −0.967479 | − | 0.252952i | \(-0.918598\pi\) |
−0.439344 | + | 0.898319i | \(0.644789\pi\) | |||||||
\(570\) | 20.0105 | − | 11.0594i | 0.838149 | − | 0.463229i | ||||
\(571\) | 0.0299527 | + | 3.20341i | 0.00125348 | + | 0.134059i | 0.998334 | + | 0.0577004i | \(0.0183768\pi\) |
−0.997080 | + | 0.0763581i | \(0.975671\pi\) | |||||||
\(572\) | 0.307367 | + | 0.222439i | 0.0128517 | + | 0.00930062i | ||||
\(573\) | −24.3250 | − | 31.0947i | −1.01619 | − | 1.29900i | ||||
\(574\) | 4.07387 | − | 1.77741i | 0.170040 | − | 0.0741877i | ||||
\(575\) | 16.4377 | + | 7.35538i | 0.685498 | + | 0.306741i | ||||
\(576\) | 0.477800 | + | 0.576682i | 0.0199083 | + | 0.0240284i | ||||
\(577\) | 8.72638 | + | 5.94955i | 0.363284 | + | 0.247683i | 0.731181 | − | 0.682184i | \(-0.238970\pi\) |
−0.367897 | + | 0.929867i | \(0.619922\pi\) | |||||||
\(578\) | 22.2486 | − | 3.39269i | 0.925421 | − | 0.141117i | ||||
\(579\) | 14.2597 | − | 5.59654i | 0.592615 | − | 0.232584i | ||||
\(580\) | −2.54703 | + | 2.85012i | −0.105759 | + | 0.118345i | ||||
\(581\) | −0.243916 | − | 0.945586i | −0.0101194 | − | 0.0392295i | ||||
\(582\) | 6.06867 | + | 2.64773i | 0.251554 | + | 0.109752i | ||||
\(583\) | −2.67298 | − | 2.93536i | −0.110704 | − | 0.121570i | ||||
\(584\) | −1.77988 | − | 0.756822i | −0.0736518 | − | 0.0313175i | ||||
\(585\) | −0.927719 | − | 0.276691i | −0.0383565 | − | 0.0114398i | ||||
\(586\) | 16.6206 | − | 23.4245i | 0.686589 | − | 0.967657i | ||||
\(587\) | 22.2069 | + | 21.3915i | 0.916578 | + | 0.882924i | 0.993467 | − | 0.114116i | \(-0.0364035\pi\) |
−0.0768892 | + | 0.997040i | \(0.524499\pi\) | |||||||
\(588\) | 2.44339 | + | 1.38039i | 0.100764 | + | 0.0569264i | ||||
\(589\) | 0.0636459 | − | 0.0879465i | 0.00262249 | − | 0.00362377i | ||||
\(590\) | −3.94310 | + | 9.77705i | −0.162335 | + | 0.402515i | ||||
\(591\) | 2.16030 | + | 19.1732i | 0.0888629 | + | 0.788680i | ||||
\(592\) | −9.57768 | − | 13.2345i | −0.393640 | − | 0.543935i | ||||
\(593\) | 23.0490 | − | 5.71624i | 0.946508 | − | 0.234738i | 0.263095 | − | 0.964770i | \(-0.415257\pi\) |
0.683413 | + | 0.730032i | \(0.260495\pi\) | |||||||
\(594\) | −2.76930 | + | 0.632075i | −0.113626 | + | 0.0259344i | ||||
\(595\) | 6.59767 | + | 3.24654i | 0.270478 | + | 0.133095i | ||||
\(596\) | 0.728847 | + | 0.420800i | 0.0298547 | + | 0.0172366i | ||||
\(597\) | 24.4319 | − | 2.29106i | 0.999932 | − | 0.0937668i | ||||
\(598\) | 20.0416 | − | 10.3537i | 0.819561 | − | 0.423395i | ||||
\(599\) | 5.09220 | + | 5.91724i | 0.208062 | + | 0.241772i | 0.852301 | − | 0.523052i | \(-0.175207\pi\) |
−0.644239 | + | 0.764824i | \(0.722826\pi\) | |||||||
\(600\) | 2.82571 | + | 20.0154i | 0.115359 | + | 0.817126i | ||||
\(601\) | −5.00980 | − | 25.1859i | −0.204354 | − | 1.02736i | −0.937686 | − | 0.347485i | \(-0.887036\pi\) |
0.733332 | − | 0.679871i | \(-0.237964\pi\) | |||||||
\(602\) | −1.29811 | + | 5.00075i | −0.0529068 | + | 0.203816i | ||||
\(603\) | −0.136241 | + | 0.328914i | −0.00554815 | + | 0.0133944i | ||||
\(604\) | 2.42414 | − | 2.16635i | 0.0986370 | − | 0.0881474i | ||||
\(605\) | 25.5711 | + | 20.0040i | 1.03961 | + | 0.813277i | ||||
\(606\) | −5.65064 | + | 6.69171i | −0.229542 | + | 0.271832i | ||||
\(607\) | 12.3416 | + | 41.3804i | 0.500932 | + | 1.67958i | 0.712059 | + | 0.702120i | \(0.247763\pi\) |
−0.211127 | + | 0.977459i | \(0.567713\pi\) | |||||||
\(608\) | −4.53566 | + | 1.21533i | −0.183945 | + | 0.0492880i | ||||
\(609\) | 1.68399 | + | 4.96087i | 0.0682387 | + | 0.201025i | ||||
\(610\) | −12.3115 | − | 17.3515i | −0.498480 | − | 0.702541i | ||||
\(611\) | 6.14328 | − | 40.7580i | 0.248530 | − | 1.64889i | ||||
\(612\) | 0.0850995 | − | 0.0203399i | 0.00343994 | − | 0.000822192i | ||||
\(613\) | −19.0171 | + | 23.8467i | −0.768093 | + | 0.963158i | −0.999954 | − | 0.00959097i | \(-0.996947\pi\) |
0.231861 | + | 0.972749i | \(0.425518\pi\) | |||||||
\(614\) | −3.20312 | − | 2.09720i | −0.129267 | − | 0.0846363i | ||||
\(615\) | 24.5780 | − | 15.1247i | 0.991081 | − | 0.609887i | ||||
\(616\) | 0.546654 | + | 0.470434i | 0.0220253 | + | 0.0189543i | ||||
\(617\) | 12.2060 | − | 2.66611i | 0.491393 | − | 0.107334i | 0.0391595 | − | 0.999233i | \(-0.487532\pi\) |
0.452234 | + | 0.891899i | \(0.350627\pi\) | |||||||
\(618\) | 0.456989 | − | 16.2877i | 0.0183828 | − | 0.655188i | ||||
\(619\) | −12.0743 | + | 40.4841i | −0.485308 | + | 1.62719i | 0.263681 | + | 0.964610i | \(0.415064\pi\) |
−0.748989 | + | 0.662583i | \(0.769460\pi\) | |||||||
\(620\) | 0.0130570 | + | 0.0199423i | 0.000524381 | + | 0.000800902i | ||||
\(621\) | 5.73755 | − | 23.1349i | 0.230240 | − | 0.928371i | ||||
\(622\) | 28.0309 | + | 6.12271i | 1.12394 | + | 0.245498i | ||||
\(623\) | −2.32877 | − | 3.09439i | −0.0933001 | − | 0.123974i | ||||
\(624\) | 19.0699 | + | 11.2490i | 0.763407 | + | 0.450322i | ||||
\(625\) | −11.6208 | + | 26.6352i | −0.464834 | + | 1.06541i | ||||
\(626\) | 1.98869 | − | 42.5080i | 0.0794841 | − | 1.69896i | ||||
\(627\) | 0.479457 | − | 2.29789i | 0.0191477 | − | 0.0917690i | ||||
\(628\) | −1.49251 | + | 0.460377i | −0.0595575 | + | 0.0183711i | ||||
\(629\) | −19.2783 | + | 3.29262i | −0.768675 | + | 0.131285i | ||||
\(630\) | −0.188547 | − | 0.0739993i | −0.00751190 | − | 0.00294820i | ||||
\(631\) | −32.4932 | + | 16.4033i | −1.29353 | + | 0.653007i | −0.957388 | − | 0.288803i | \(-0.906743\pi\) |
−0.336146 | + | 0.941810i | \(0.609124\pi\) | |||||||
\(632\) | 5.41388 | + | 8.79769i | 0.215353 | + | 0.349953i | ||||
\(633\) | −2.15870 | + | 11.4090i | −0.0858007 | + | 0.453468i | ||||
\(634\) | −0.192625 | + | 2.28366i | −0.00765010 | + | 0.0906959i | ||||
\(635\) | −12.6036 | + | 20.4812i | −0.500159 | + | 0.812770i | ||||
\(636\) | 3.04320 | + | 2.77118i | 0.120671 | + | 0.109885i | ||||
\(637\) | −24.6730 | − | 4.19210i | −0.977578 | − | 0.166097i | ||||
\(638\) | −0.362938 | − | 2.75679i | −0.0143689 | − | 0.109142i | ||||
\(639\) | −0.268575 | − | 0.544617i | −0.0106247 | − | 0.0215447i | ||||
\(640\) | −2.69973 | + | 26.1566i | −0.106716 | + | 1.03393i | ||||
\(641\) | 1.37342 | − | 4.30906i | 0.0542468 | − | 0.170198i | −0.921844 | − | 0.387562i | \(-0.873317\pi\) |
0.976091 | + | 0.217364i | \(0.0697459\pi\) | |||||||
\(642\) | 3.51953 | − | 3.02880i | 0.138905 | − | 0.119537i | ||||
\(643\) | 4.25894 | − | 5.65914i | 0.167956 | − | 0.223175i | −0.707202 | − | 0.707012i | \(-0.750043\pi\) |
0.875158 | + | 0.483837i | \(0.160757\pi\) | |||||||
\(644\) | −0.615412 | + | 0.254912i | −0.0242506 | + | 0.0100449i | ||||
\(645\) | −3.80677 | + | 33.3285i | −0.149891 | + | 1.31231i | ||||
\(646\) | 3.57946 | − | 18.0766i | 0.140832 | − | 0.711214i | ||||
\(647\) | −11.4270 | + | 23.7284i | −0.449242 | + | 0.932860i | 0.546215 | + | 0.837645i | \(0.316068\pi\) |
−0.995457 | + | 0.0952151i | \(0.969646\pi\) | |||||||
\(648\) | 24.6871 | − | 8.12354i | 0.969803 | − | 0.319123i | ||||
\(649\) | 0.496789 | + | 0.961628i | 0.0195007 | + | 0.0377472i | ||||
\(650\) | −9.27120 | − | 17.5420i | −0.363646 | − | 0.688053i | ||||
\(651\) | 0.0326001 | − | 0.00213672i | 0.00127770 | − | 8.37448e-5i | ||||
\(652\) | −3.73050 | + | 3.27156i | −0.146097 | + | 0.128124i | ||||
\(653\) | 2.92845 | − | 7.67173i | 0.114599 | − | 0.300218i | −0.864811 | − | 0.502097i | \(-0.832562\pi\) |
0.979410 | + | 0.201879i | \(0.0647048\pi\) | |||||||
\(654\) | −6.75307 | + | 11.2073i | −0.264066 | + | 0.438241i | ||||
\(655\) | 15.0652 | + | 32.8402i | 0.588644 | + | 1.28317i | ||||
\(656\) | 18.5118 | − | 5.90024i | 0.722764 | − | 0.230365i | ||||
\(657\) | 0.0390641 | − | 0.0398016i | 0.00152404 | − | 0.00155281i | ||||
\(658\) | 1.99750 | − | 8.38928i | 0.0778708 | − | 0.327048i | ||||
\(659\) | 18.2027 | − | 21.1520i | 0.709078 | − | 0.823964i | −0.281693 | − | 0.959504i | \(-0.590896\pi\) |
0.990772 | + | 0.135540i | \(0.0432770\pi\) | |||||||
\(660\) | 0.433829 | + | 0.278284i | 0.0168868 | + | 0.0108322i | ||||
\(661\) | −5.91664 | + | 1.00528i | −0.230131 | + | 0.0391008i | −0.281427 | − | 0.959583i | \(-0.590808\pi\) |
0.0512961 | + | 0.998683i | \(0.483665\pi\) | |||||||
\(662\) | −6.28190 | − | 20.3654i | −0.244153 | − | 0.791525i | ||||
\(663\) | 22.1628 | − | 14.5381i | 0.860732 | − | 0.564615i | ||||
\(664\) | −0.727617 | − | 4.82742i | −0.0282370 | − | 0.187340i | ||||
\(665\) | 4.33616 | − | 4.17694i | 0.168149 | − | 0.161975i | ||||
\(666\) | 0.521648 | − | 0.134560i | 0.0202134 | − | 0.00521411i | ||||
\(667\) | 22.0234 | + | 7.70632i | 0.852750 | + | 0.298390i | ||||
\(668\) | −0.834164 | + | 1.19925i | −0.0322748 | + | 0.0464003i | ||||
\(669\) | −16.2711 | + | 5.86484i | −0.629077 | + | 0.226748i | ||||
\(670\) | −15.2683 | + | 6.15773i | −0.589867 | + | 0.237894i | ||||
\(671\) | −2.17482 | − | 0.203940i | −0.0839579 | − | 0.00787300i | ||||
\(672\) | −1.15247 | − | 0.817724i | −0.0444576 | − | 0.0315444i | ||||
\(673\) | 3.90883 | + | 5.61958i | 0.150674 | + | 0.216619i | 0.889097 | − | 0.457720i | \(-0.151334\pi\) |
−0.738422 | + | 0.674339i | \(0.764429\pi\) | |||||||
\(674\) | 5.24117 | + | 18.8534i | 0.201882 | + | 0.726206i | ||||
\(675\) | −20.3950 | − | 4.85608i | −0.785002 | − | 0.186911i | ||||
\(676\) | 0.287033 | + | 0.0543095i | 0.0110397 | + | 0.00208883i | ||||
\(677\) | 22.1433 | − | 18.6984i | 0.851038 | − | 0.718637i | −0.110333 | − | 0.993895i | \(-0.535192\pi\) |
0.961371 | + | 0.275257i | \(0.0887630\pi\) | |||||||
\(678\) | −33.1727 | − | 12.3086i | −1.27399 | − | 0.472708i | ||||
\(679\) | 1.72410 | + | 0.259866i | 0.0661649 | + | 0.00997275i | ||||
\(680\) | 31.1427 | + | 19.5308i | 1.19427 | + | 0.748972i | ||||
\(681\) | 5.91535 | + | 10.2457i | 0.226677 | + | 0.392616i | ||||
\(682\) | −0.0171915 | − | 0.00226330i | −0.000658297 | − | 8.66664e-5i | ||||
\(683\) | −2.72350 | − | 1.47215i | −0.104212 | − | 0.0563304i | 0.422574 | − | 0.906329i | \(-0.361127\pi\) |
−0.526786 | + | 0.849998i | \(0.676603\pi\) | |||||||
\(684\) | 0.00802129 | − | 0.0711909i | 0.000306702 | − | 0.00272205i | ||||
\(685\) | −20.7243 | + | 11.7082i | −0.791833 | + | 0.447346i | ||||
\(686\) | −10.4105 | − | 2.68542i | −0.397475 | − | 0.102530i | ||||
\(687\) | 41.3545 | + | 27.6322i | 1.57777 | + | 1.05423i | ||||
\(688\) | −7.88878 | + | 21.1618i | −0.300757 | + | 0.806786i | ||||
\(689\) | −33.9108 | − | 14.0463i | −1.29190 | − | 0.535122i | ||||
\(690\) | 26.3940 | − | 15.5694i | 1.00480 | − | 0.592717i | ||||
\(691\) | 0.974526 | + | 7.97799i | 0.0370727 | + | 0.303497i | 0.999490 | + | 0.0319231i | \(0.0101632\pi\) |
−0.962418 | + | 0.271574i | \(0.912456\pi\) | |||||||
\(692\) | 5.44514 | + | 1.73552i | 0.206993 | + | 0.0659747i | ||||
\(693\) | −0.0183858 | + | 0.00971716i | −0.000698418 | + | 0.000369125i | ||||
\(694\) | 31.5470 | + | 27.6660i | 1.19751 | + | 1.05019i | ||||
\(695\) | −45.2108 | − | 34.6915i | −1.71494 | − | 1.31592i | ||||
\(696\) | 5.82794 | + | 25.5339i | 0.220907 | + | 0.967858i | ||||
\(697\) | 3.44688 | − | 23.0031i | 0.130560 | − | 0.871305i | ||||
\(698\) | −14.5419 | − | 13.4929i | −0.550418 | − | 0.510713i | ||||
\(699\) | −9.37498 | + | 32.5413i | −0.354594 | + | 1.23082i | ||||
\(700\) | 0.229263 | + | 0.539176i | 0.00866534 | + | 0.0203789i | ||||
\(701\) | −0.261825 | + | 6.99741i | −0.00988898 | + | 0.264289i | 0.985581 | + | 0.169207i | \(0.0541207\pi\) |
−0.995469 | + | 0.0950815i | \(0.969689\pi\) | |||||||
\(702\) | −20.6846 | + | 16.1813i | −0.780688 | + | 0.610725i | ||||
\(703\) | −2.82985 | + | 15.7614i | −0.106730 | + | 0.594454i | ||||
\(704\) | 2.44271 | + | 2.58374i | 0.0920632 | + | 0.0973784i | ||||
\(705\) | 5.22771 | − | 55.7484i | 0.196887 | − | 2.09961i | ||||
\(706\) | 38.9954 | − | 25.5318i | 1.46761 | − | 0.960900i | ||||
\(707\) | −0.981229 | + | 2.08724i | −0.0369029 | + | 0.0784989i | ||||
\(708\) | −0.605870 | − | 0.944516i | −0.0227700 | − | 0.0354971i | ||||
\(709\) | −15.5847 | + | 26.4198i | −0.585295 | + | 0.992218i | 0.411437 | + | 0.911438i | \(0.365027\pi\) |
−0.996732 | + | 0.0807802i | \(0.974259\pi\) | |||||||
\(710\) | 9.27449 | − | 26.5050i | 0.348065 | − | 0.994713i | ||||
\(711\) | −0.293174 | + | 0.0526371i | −0.0109949 | + | 0.00197405i | ||||
\(712\) | −9.99231 | − | 16.5831i | −0.374477 | − | 0.621479i | ||||
\(713\) | 0.0819655 | − | 0.120221i | 0.00306963 | − | 0.00450232i | ||||
\(714\) | 4.87621 | − | 2.64121i | 0.182487 | − | 0.0988446i | ||||
\(715\) | −4.48111 | − | 1.02278i | −0.167584 | − | 0.0382500i | ||||
\(716\) | −1.79436 | + | 0.0335585i | −0.0670586 | + | 0.00125414i | ||||
\(717\) | −13.1345 | − | 1.60441i | −0.490519 | − | 0.0599178i | ||||
\(718\) | 26.3207 | + | 0.984851i | 0.982279 | + | 0.0367543i | ||||
\(719\) | 36.3633 | + | 14.6654i | 1.35612 | + | 0.546926i | 0.933238 | − | 0.359258i | \(-0.116970\pi\) |
0.422884 | + | 0.906184i | \(0.361018\pi\) | |||||||
\(720\) | −0.786634 | − | 0.406385i | −0.0293161 | − | 0.0151451i | ||||
\(721\) | −0.993867 | − | 4.17412i | −0.0370135 | − | 0.155453i | ||||
\(722\) | 8.62111 | + | 5.19472i | 0.320844 | + | 0.193328i | ||||
\(723\) | 3.80064 | − | 22.3689i | 0.141347 | − | 0.831910i | ||||
\(724\) | −0.153169 | + | 2.33691i | −0.00569249 | + | 0.0868506i | ||||
\(725\) | 6.59681 | − | 19.4336i | 0.244999 | − | 0.721745i | ||||
\(726\) | 23.4636 | − | 6.99799i | 0.870816 | − | 0.259720i | ||||
\(727\) | 19.1638 | + | 2.15924i | 0.710745 | + | 0.0800817i | 0.459932 | − | 0.887954i | \(-0.347874\pi\) |
0.250812 | + | 0.968036i | \(0.419302\pi\) | |||||||
\(728\) | 6.42425 | + | 1.78592i | 0.238099 | + | 0.0661905i | ||||
\(729\) | −1.55468 | + | 27.6837i | −0.0575808 | + | 1.02532i | ||||
\(730\) | 2.57894 | 0.0954508 | ||||||||
\(731\) | 18.5613 | + | 19.6591i | 0.686514 | + | 0.727117i | ||||
\(732\) | 2.26461 | 0.0837023 | ||||||||
\(733\) | 1.90073 | − | 33.8456i | 0.0702051 | − | 1.25012i | −0.743459 | − | 0.668782i | \(-0.766816\pi\) |
0.813664 | − | 0.581336i | \(-0.197470\pi\) | |||||||
\(734\) | 6.62502 | + | 1.84173i | 0.244534 | + | 0.0679794i | ||||
\(735\) | −33.7835 | − | 3.80649i | −1.24612 | − | 0.140404i | ||||
\(736\) | −6.03110 | + | 1.79877i | −0.222309 | + | 0.0663034i | ||||
\(737\) | −0.543324 | + | 1.60058i | −0.0200136 | + | 0.0589582i | ||||
\(738\) | −0.0419045 | + | 0.639339i | −0.00154253 | + | 0.0235344i | ||||
\(739\) | −0.443387 | + | 2.60959i | −0.0163102 | + | 0.0959952i | −0.992857 | − | 0.119310i | \(-0.961932\pi\) |
0.976547 | + | 0.215305i | \(0.0690746\pi\) | |||||||
\(740\) | −3.01159 | − | 1.81466i | −0.110708 | − | 0.0667082i | ||||
\(741\) | −5.02689 | − | 21.1124i | −0.184668 | − | 0.775582i | ||||
\(742\) | −6.82279 | − | 3.52474i | −0.250473 | − | 0.129397i | ||||
\(743\) | −2.54226 | − | 1.02530i | −0.0932664 | − | 0.0376145i | 0.326922 | − | 0.945051i | \(-0.393988\pi\) |
−0.420189 | + | 0.907437i | \(0.638036\pi\) | |||||||
\(744\) | 0.163211 | + | 0.00610693i | 0.00598361 | + | 0.000223891i | ||||
\(745\) | −10.1203 | − | 1.23621i | −0.370778 | − | 0.0452912i | ||||
\(746\) | 4.74517 | − | 0.0887449i | 0.173733 | − | 0.00324918i | ||||
\(747\) | 0.137240 | + | 0.0313240i | 0.00502133 | + | 0.00114609i | ||||
\(748\) | 0.396854 | − | 0.122788i | 0.0145104 | − | 0.00448958i | ||||
\(749\) | 0.688804 | − | 1.01029i | 0.0251684 | − | 0.0369152i | ||||
\(750\) | 3.56558 | + | 5.91741i | 0.130197 | + | 0.216073i | ||||
\(751\) | 27.7655 | − | 4.98508i | 1.01318 | − | 0.181908i | 0.355075 | − | 0.934838i | \(-0.384455\pi\) |
0.658101 | + | 0.752930i | \(0.271360\pi\) | |||||||
\(752\) | 12.4507 | − | 35.5820i | 0.454029 | − | 1.29754i | ||||
\(753\) | −15.6516 | + | 26.5333i | −0.570377 | + | 0.966929i | ||||
\(754\) | −13.8802 | − | 21.6385i | −0.505489 | − | 0.788028i | ||||
\(755\) | −16.7559 | + | 35.6428i | −0.609811 | + | 1.29717i | ||||
\(756\) | 0.648796 | − | 0.424791i | 0.0235965 | − | 0.0154495i | ||||
\(757\) | 2.38061 | − | 25.3869i | 0.0865246 | − | 0.922701i | −0.839029 | − | 0.544086i | \(-0.816877\pi\) |
0.925554 | − | 0.378615i | \(-0.123600\pi\) | |||||||
\(758\) | 31.5656 | + | 33.3880i | 1.14651 | + | 1.21271i | ||||
\(759\) | 0.555987 | − | 3.09669i | 0.0201811 | − | 0.112403i | ||||
\(760\) | 23.7068 | − | 18.5456i | 0.859936 | − | 0.672719i | ||||
\(761\) | 0.916116 | − | 24.4837i | 0.0332092 | − | 0.887534i | −0.878757 | − | 0.477269i | \(-0.841627\pi\) |
0.911966 | − | 0.410265i | \(-0.134564\pi\) | |||||||
\(762\) | 7.09699 | + | 16.6905i | 0.257097 | + | 0.604634i | ||||
\(763\) | −0.953877 | + | 3.31098i | −0.0345327 | + | 0.119866i | ||||
\(764\) | −4.19347 | − | 3.89097i | −0.151714 | − | 0.140770i | ||||
\(765\) | −0.852304 | + | 0.630165i | −0.0308151 | + | 0.0227837i | ||||
\(766\) | −1.88080 | − | 8.24032i | −0.0679561 | − | 0.297735i | ||||
\(767\) | 7.93909 | + | 6.09188i | 0.286664 | + | 0.219965i | ||||
\(768\) | −7.49821 | − | 6.57575i | −0.270568 | − | 0.237282i | ||||
\(769\) | 22.7110 | − | 12.0031i | 0.818980 | − | 0.432843i | −0.00463777 | − | 0.999989i | \(-0.501476\pi\) |
0.823617 | + | 0.567146i | \(0.191952\pi\) | |||||||
\(770\) | −0.916246 | − | 0.292034i | −0.0330192 | − | 0.0105242i | ||||
\(771\) | −1.98028 | − | 16.2116i | −0.0713180 | − | 0.583847i | ||||
\(772\) | 1.91185 | − | 1.12777i | 0.0688091 | − | 0.0405895i | ||||
\(773\) | −10.9968 | − | 4.55502i | −0.395527 | − | 0.163833i | 0.176050 | − | 0.984381i | \(-0.443668\pi\) |
−0.571577 | + | 0.820549i | \(0.693668\pi\) | |||||||
\(774\) | −0.554562 | − | 0.497112i | −0.0199333 | − | 0.0178683i | ||||
\(775\) | −0.106412 | − | 0.0711023i | −0.00382243 | − | 0.00255407i | ||||
\(776\) | 8.44026 | + | 2.17719i | 0.302988 | + | 0.0781565i | ||||
\(777\) | −4.19578 | + | 2.37041i | −0.150523 | + | 0.0850379i | ||||
\(778\) | 5.36840 | − | 47.6458i | 0.192466 | − | 1.70819i | ||||
\(779\) | −16.7541 | − | 9.05619i | −0.600276 | − | 0.324472i | ||||
\(780\) | 4.72445 | + | 0.621985i | 0.169162 | + | 0.0222706i | ||||
\(781\) | −1.44153 | − | 2.49680i | −0.0515818 | − | 0.0893424i | ||||
\(782\) | 4.11617 | − | 24.3532i | 0.147194 | − | 0.870869i | ||||
\(783\) | −26.8604 | − | 4.04856i | −0.959914 | − | 0.144684i | ||||
\(784\) | −21.4592 | − | 7.96233i | −0.766400 | − | 0.284369i | ||||
\(785\) | 14.4567 | − | 12.2076i | 0.515982 | − | 0.435708i | ||||
\(786\) | 26.7739 | + | 5.06590i | 0.954993 | + | 0.180695i | ||||
\(787\) | 24.7616 | + | 5.89579i | 0.882656 | + | 0.210162i | 0.647747 | − | 0.761855i | \(-0.275711\pi\) |
0.234909 | + | 0.972017i | \(0.424521\pi\) | |||||||
\(788\) | 0.748826 | + | 2.69366i | 0.0266758 | + | 0.0959576i | ||||
\(789\) | −8.41328 | − | 12.0955i | −0.299521 | − | 0.430610i | ||||
\(790\) | −11.2336 | − | 7.97068i | −0.399675 | − | 0.283584i | ||||
\(791\) | −9.27678 | − | 0.869914i | −0.329844 | − | 0.0309306i | ||||
\(792\) | −0.0964166 | + | 0.0388850i | −0.00342602 | + | 0.00138172i | ||||
\(793\) | −18.9989 | + | 6.84804i | −0.674670 | + | 0.243181i | ||||
\(794\) | −25.7623 | + | 37.0376i | −0.914272 | + | 1.31442i | ||||
\(795\) | −47.0635 | − | 16.4682i | −1.66917 | − | 0.584068i | ||||
\(796\) | 3.44305 | − | 0.888144i | 0.122036 | − | 0.0314794i | ||||
\(797\) | 13.5056 | − | 13.0097i | 0.478393 | − | 0.460827i | −0.415184 | − | 0.909737i | \(-0.636283\pi\) |
0.893577 | + | 0.448910i | \(0.148188\pi\) | |||||||
\(798\) | −0.676751 | − | 4.48995i | −0.0239567 | − | 0.158943i | ||||
\(799\) | −31.6395 | − | 32.1812i | −1.11932 | − | 1.13849i | ||||
\(800\) | 1.63166 | + | 5.28973i | 0.0576880 | + | 0.187020i | ||||
\(801\) | 0.550377 | − | 0.0935128i | 0.0194466 | − | 0.00330411i | ||||
\(802\) | 19.3953 | + | 12.4413i | 0.684870 | + | 0.439317i | ||||
\(803\) | 0.172712 | − | 0.200695i | 0.00609489 | − | 0.00708239i | ||||
\(804\) | 0.405898 | − | 1.70473i | 0.0143149 | − | 0.0601210i | ||||
\(805\) | 5.65248 | − | 5.75918i | 0.199224 | − | 0.202984i | ||||
\(806\) | −0.152744 | + | 0.0486838i | −0.00538017 | + | 0.00171481i | ||||
\(807\) | −4.16414 | − | 9.07732i | −0.146585 | − | 0.319537i | ||||
\(808\) | −5.95079 | + | 9.87586i | −0.209348 | + | 0.347432i | ||||
\(809\) | 6.11246 | − | 16.0129i | 0.214903 | − | 0.562985i | −0.783381 | − | 0.621541i | \(-0.786507\pi\) |
0.998284 | + | 0.0585561i | \(0.0186497\pi\) | |||||||
\(810\) | −26.0545 | + | 22.8492i | −0.915463 | + | 0.802839i | ||||
\(811\) | −10.6208 | + | 0.696126i | −0.372948 | + | 0.0244443i | −0.250725 | − | 0.968058i | \(-0.580669\pi\) |
−0.122223 | + | 0.992503i | \(0.539002\pi\) | |||||||
\(812\) | 0.354715 | + | 0.671154i | 0.0124481 | + | 0.0235529i | ||||
\(813\) | 18.8621 | + | 36.5111i | 0.661522 | + | 1.28050i | ||||
\(814\) | 2.42959 | − | 0.799481i | 0.0851572 | − | 0.0280218i | ||||
\(815\) | 26.0805 | − | 54.1568i | 0.913561 | − | 1.89703i | ||||
\(816\) | 22.3882 | − | 9.29612i | 0.783744 | − | 0.325429i | ||||
\(817\) | 20.3041 | − | 8.82169i | 0.710349 | − | 0.308632i | ||||
\(818\) | 39.0205 | − | 16.1628i | 1.36432 | − | 0.565120i | ||||
\(819\) | −0.115612 | + | 0.153622i | −0.00403982 | + | 0.00536799i | ||||
\(820\) | 3.16961 | − | 2.72767i | 0.110688 | − | 0.0952543i | ||||
\(821\) | 8.81486 | − | 27.6563i | 0.307641 | − | 0.965212i | −0.667686 | − | 0.744443i | \(-0.732715\pi\) |
0.975326 | − | 0.220768i | \(-0.0708564\pi\) | |||||||
\(822\) | −1.84305 | + | 17.8566i | −0.0642838 | + | 0.622821i | ||||
\(823\) | 5.78087 | + | 11.7224i | 0.201508 | + | 0.408619i | 0.974046 | − | 0.226351i | \(-0.0726795\pi\) |
−0.772538 | + | 0.634969i | \(0.781013\pi\) | |||||||
\(824\) | −2.79989 | − | 21.2673i | −0.0975388 | − | 0.740881i | ||||
\(825\) | −2.72820 | − | 0.463540i | −0.0949837 | − | 0.0161384i | ||||
\(826\) | 1.54803 | + | 1.40966i | 0.0538629 | + | 0.0490483i | ||||
\(827\) | 12.7153 | − | 20.6627i | 0.442155 | − | 0.718512i | −0.551103 | − | 0.834437i | \(-0.685793\pi\) |
0.993258 | + | 0.115926i | \(0.0369834\pi\) | |||||||
\(828\) | 0.00807065 | − | 0.0956816i | 0.000280474 | − | 0.00332517i | ||||
\(829\) | −5.62915 | + | 29.7508i | −0.195508 | + | 1.03329i | 0.738019 | + | 0.674780i | \(0.235762\pi\) |
−0.933527 | + | 0.358506i | \(0.883286\pi\) | |||||||
\(830\) | 3.41164 | + | 5.54399i | 0.118420 | + | 0.192435i | ||||
\(831\) | 9.89068 | − | 4.99305i | 0.343104 | − | 0.173207i | ||||
\(832\) | 30.6010 | + | 12.0100i | 1.06090 | + | 0.416373i | ||||
\(833\) | −19.8953 | + | 18.8418i | −0.689330 | + | 0.652831i | ||||
\(834\) | −41.0687 | + | 12.6680i | −1.42209 | + | 0.438657i | ||||
\(835\) | 3.61466 | − | 17.3240i | 0.125091 | − | 0.599522i | ||||
\(836\) | 0.0158957 | − | 0.339767i | 0.000549763 | − | 0.0117511i | ||||
\(837\) | −0.0677398 | + | 0.155261i | −0.00234143 | + | 0.00536661i | ||||
\(838\) | 19.7703 | + | 11.6622i | 0.682955 | + | 0.402865i | ||||
\(839\) | −21.2508 | − | 28.2374i | −0.733660 | − | 0.974864i | −0.999940 | − | 0.0109680i | \(-0.996509\pi\) |
0.266279 | − | 0.963896i | \(-0.414206\pi\) | |||||||
\(840\) | 8.84932 | + | 1.93293i | 0.305330 | + | 0.0666924i | ||||
\(841\) | −0.579966 | + | 2.33853i | −0.0199988 | + | 0.0806391i | ||||
\(842\) | −1.32066 | − | 2.01709i | −0.0455130 | − | 0.0695134i | ||||
\(843\) | −2.46423 | + | 8.26235i | −0.0848727 | + | 0.284570i | ||||
\(844\) | −0.0471883 | + | 1.68185i | −0.00162429 | + | 0.0578918i | ||||
\(845\) | −3.45741 | + | 0.755192i | −0.118938 | + | 0.0259794i | ||||
\(846\) | 0.942257 | + | 0.810878i | 0.0323955 | + | 0.0278786i | ||||
\(847\) | 5.49130 | − | 3.37921i | 0.188683 | − | 0.116111i | ||||
\(848\) | −28.0851 | − | 18.3884i | −0.964447 | − | 0.631460i | ||||
\(849\) | −15.9461 | + | 19.9958i | −0.547269 | + | 0.686253i | ||||
\(850\) | −21.4532 | − | 3.42001i | −0.735837 | − | 0.117305i | ||||
\(851\) | −3.19889 | + | 21.2232i | −0.109656 | + | 0.727523i | ||||
\(852\) | 1.72963 | + | 2.43769i | 0.0592562 | + | 0.0835138i | ||||
\(853\) | 15.7682 | + | 46.4517i | 0.539894 | + | 1.59048i | 0.784023 | + | 0.620732i | \(0.213165\pi\) |
−0.244129 | + | 0.969743i | \(0.578502\pi\) | |||||||
\(854\) | −4.08135 | + | 1.09360i | −0.139661 | + | 0.0374221i | ||||
\(855\) | 0.248050 | + | 0.831690i | 0.00848315 | + | 0.0284432i | ||||
\(856\) | 3.94385 | − | 4.67045i | 0.134798 | − | 0.159633i | ||||
\(857\) | 16.3735 | + | 12.8089i | 0.559309 | + | 0.437542i | 0.855661 | − | 0.517537i | \(-0.173151\pi\) |
−0.296352 | + | 0.955079i | \(0.595770\pi\) | |||||||
\(858\) | −2.58473 | + | 2.30985i | −0.0882412 | + | 0.0788571i | ||||
\(859\) | −12.7641 | + | 30.8154i | −0.435507 | + | 1.05141i | 0.541977 | + | 0.840394i | \(0.317676\pi\) |
−0.977483 | + | 0.211013i | \(0.932324\pi\) | |||||||
\(860\) | 0.219742 | + | 4.85578i | 0.00749313 | + | 0.165581i | ||||
\(861\) | −1.11814 | − | 5.62126i | −0.0381060 | − | 0.191572i | ||||
\(862\) | −2.88100 | − | 20.4071i | −0.0981272 | − | 0.695067i | ||||
\(863\) | 29.6221 | + | 34.4215i | 1.00835 | + | 1.17172i | 0.985099 | + | 0.171991i | \(0.0550199\pi\) |
0.0232483 | + | 0.999730i | \(0.492599\pi\) | |||||||
\(864\) | 6.50963 | − | 3.36296i | 0.221462 | − | 0.114410i | ||||
\(865\) | −68.9318 | + | 6.46395i | −2.34375 | + | 0.219781i | ||||
\(866\) | −8.36718 | − | 4.83079i | −0.284328 | − | 0.164157i | ||||
\(867\) | 1.84811 | − | 28.9619i | 0.0627650 | − | 0.983598i | ||||
\(868\) | 0.00461525 | − | 0.00105340i | 0.000156652 | − | 3.57548e-5i | ||||
\(869\) | −1.37261 | + | 0.340412i | −0.0465625 | + | 0.0115477i | ||||
\(870\) | −20.4741 | − | 28.2913i | −0.694137 | − | 0.959164i | ||||
\(871\) | 1.74972 | + | 15.5292i | 0.0592869 | + | 0.526186i | ||||
\(872\) | −6.44287 | + | 15.9753i | −0.218183 | + | 0.540993i | ||||
\(873\) | −0.147352 | + | 0.203612i | −0.00498711 | + | 0.00689123i | ||||
\(874\) | −17.6074 | − | 9.94731i | −0.595580 | − | 0.336473i | ||||
\(875\) | 1.31026 | + | 1.26215i | 0.0442948 | + | 0.0426684i | ||||
\(876\) | −0.158849 | + | 0.223877i | −0.00536702 | + | 0.00756411i | ||||
\(877\) | 26.0817 | + | 7.77884i | 0.880717 | + | 0.262673i | 0.694203 | − | 0.719780i | \(-0.255757\pi\) |
0.186514 | + | 0.982452i | \(0.440281\pi\) | |||||||
\(878\) | 24.6093 | + | 10.4641i | 0.830523 | + | 0.353147i | ||||
\(879\) | −24.9362 | − | 27.3839i | −0.841076 | − | 0.923636i | ||||
\(880\) | −3.85298 | − | 1.68104i | −0.129884 | − | 0.0566677i | ||||
\(881\) | 10.1548 | + | 39.3668i | 0.342123 | + | 1.32630i | 0.876641 | + | 0.481145i | \(0.159779\pi\) |
−0.534517 | + | 0.845157i | \(0.679507\pi\) | |||||||
\(882\) | 0.502953 | − | 0.562804i | 0.0169353 | − | 0.0189506i | ||||
\(883\) | 45.0388 | − | 17.6764i | 1.51568 | − | 0.594859i | 0.545682 | − | 0.837992i | \(-0.316271\pi\) |
0.969993 | + | 0.243133i | \(0.0781753\pi\) | |||||||
\(884\) | 2.83751 | − | 2.58835i | 0.0954357 | − | 0.0870557i | ||||
\(885\) | 11.2319 | + | 7.65777i | 0.377556 | + | 0.257413i | ||||
\(886\) | −19.4401 | − | 23.4633i | −0.653102 | − | 0.788264i | ||||
\(887\) | −13.0955 | − | 5.85985i | −0.439703 | − | 0.196755i | 0.176568 | − | 0.984288i | \(-0.443500\pi\) |
−0.616271 | + | 0.787534i | \(0.711358\pi\) | |||||||
\(888\) | −22.0815 | + | 9.63407i | −0.741007 | + | 0.323298i | ||||
\(889\) | 2.94277 | + | 3.76173i | 0.0986972 | + | 0.126164i | ||||
\(890\) | 20.9139 | + | 15.1352i | 0.701036 | + | 0.507332i | ||||
\(891\) | 0.0332664 | + | 3.55781i | 0.00111447 | + | 0.119191i | ||||
\(892\) | −2.19348 | + | 1.21229i | −0.0734430 | + | 0.0405905i | ||||
\(893\) | −33.5864 | + | 15.4075i | −1.12393 | + | 0.515591i | ||||
\(894\) | −5.17703 | + | 5.68521i | −0.173146 | + | 0.190142i | ||||
\(895\) | 19.8452 | − | 8.88017i | 0.663353 | − | 0.296831i | ||||
\(896\) | 4.68375 | + | 2.30977i | 0.156473 | + | 0.0771640i | ||||
\(897\) | −7.52855 | − | 28.0969i | −0.251371 | − | 0.938129i | ||||
\(898\) | −12.7151 | + | 23.5231i | −0.424308 | + | 0.784975i | ||||
\(899\) | −0.145130 | − | 0.0802105i | −0.00484036 | − | 0.00267517i | ||||
\(900\) | −0.0842210 | − | 0.00631149i | −0.00280737 | − | 0.000210383i | ||||
\(901\) | −34.5966 | + | 20.4483i | −1.15258 | + | 0.681231i | ||||
\(902\) | 3.04197i | 0.101286i | ||||||||
\(903\) | 5.94264 | + | 3.01138i | 0.197759 | + | 0.100212i | ||||
\(904\) | −45.6853 | − | 9.08737i | −1.51947 | − | 0.302241i | ||||
\(905\) | −9.37035 | − | 26.7789i | −0.311481 | − | 0.890162i | ||||
\(906\) | 14.6104 | + | 25.8613i | 0.485397 | + | 0.859185i | ||||
\(907\) | −6.67622 | − | 5.63757i | −0.221680 | − | 0.187192i | 0.527507 | − | 0.849551i | \(-0.323127\pi\) |
−0.749187 | + | 0.662359i | \(0.769556\pi\) | |||||||
\(908\) | 1.08133 | + | 1.33023i | 0.0358850 | + | 0.0441453i | ||||
\(909\) | −0.202393 | − | 0.263764i | −0.00671296 | − | 0.00874849i | ||||
\(910\) | −8.81492 | + | 1.16051i | −0.292212 | + | 0.0384704i | ||||
\(911\) | −23.3758 | − | 8.92303i | −0.774476 | − | 0.295633i | −0.0626935 | − | 0.998033i | \(-0.519969\pi\) |
−0.711783 | + | 0.702400i | \(0.752112\pi\) | |||||||
\(912\) | −0.927587 | − | 19.8270i | −0.0307155 | − | 0.656539i | ||||
\(913\) | 0.659918 | + | 0.105786i | 0.0218401 | + | 0.00350101i | ||||
\(914\) | 45.2652 | − | 5.10016i | 1.49724 | − | 0.168698i | ||||
\(915\) | −25.2468 | + | 10.7352i | −0.834633 | + | 0.354895i | ||||
\(916\) | 6.55055 | + | 3.00500i | 0.216436 | + | 0.0992881i | ||||
\(917\) | 7.15554 | − | 0.536234i | 0.236297 | − | 0.0177080i | ||||
\(918\) | 0.562455 | + | 28.7484i | 0.0185638 | + | 0.948840i | ||||
\(919\) | 1.74108 | − | 7.62815i | 0.0574328 | − | 0.251630i | −0.938059 | − | 0.346475i | \(-0.887379\pi\) |
0.995492 | + | 0.0948454i | \(0.0302357\pi\) | |||||||
\(920\) | 31.0647 | − | 25.7381i | 1.02417 | − | 0.848561i | ||||
\(921\) | −3.52341 | + | 3.45813i | −0.116100 | + | 0.113949i | ||||
\(922\) | 3.54261 | + | 2.61457i | 0.116670 | + | 0.0861061i | ||||
\(923\) | −21.8821 | − | 15.2206i | −0.720259 | − | 0.500992i | ||||
\(924\) | 0.0817875 | − | 0.0615514i | 0.00269061 | − | 0.00202489i | ||||
\(925\) | 18.6927 | + | 2.63897i | 0.614613 | + | 0.0867689i | ||||
\(926\) | −15.0489 | − | 0.281446i | −0.494537 | − | 0.00924890i | ||||
\(927\) | 0.600338 | + | 0.148886i | 0.0197177 | + | 0.00489007i | ||||
\(928\) | 2.68267 | + | 6.65179i | 0.0880631 | + | 0.218356i | ||||
\(929\) | −25.8118 | + | 13.9522i | −0.846856 | + | 0.457757i | −0.840236 | − | 0.542221i | \(-0.817584\pi\) |
−0.00662034 | + | 0.999978i | \(0.502107\pi\) | |||||||
\(930\) | −0.203460 | + | 0.0776647i | −0.00667171 | + | 0.00254673i | ||||
\(931\) | 8.97199 | + | 20.5640i | 0.294045 | + | 0.673959i | ||||
\(932\) | −0.594985 | + | 4.87086i | −0.0194894 | + | 0.159550i | ||||
\(933\) | 15.4265 | − | 33.6279i | 0.505041 | − | 1.10093i | ||||
\(934\) | 18.9019 | + | 27.7240i | 0.618489 | + | 0.907157i | ||||
\(935\) | −3.84223 | + | 3.25015i | −0.125654 | + | 0.106291i | ||||
\(936\) | −0.653768 | + | 0.704595i | −0.0213691 | + | 0.0230304i | ||||
\(937\) | −8.56630 | − | 34.5409i | −0.279849 | − | 1.12840i | −0.929693 | − | 0.368336i | \(-0.879928\pi\) |
0.649844 | − | 0.760068i | \(-0.274834\pi\) | |||||||
\(938\) | 0.0917004 | + | 3.26833i | 0.00299412 | + | 0.106715i | ||||
\(939\) | −53.0034 | − | 14.2022i | −1.72970 | − | 0.463472i | ||||
\(940\) | −0.530646 | − | 8.09610i | −0.0173078 | − | 0.264066i | ||||
\(941\) | −50.7633 | − | 5.23948i | −1.65484 | − | 0.170802i | −0.770432 | − | 0.637522i | \(-0.779959\pi\) |
−0.884405 | + | 0.466720i | \(0.845436\pi\) | |||||||
\(942\) | −1.19941 | − | 14.2196i | −0.0390787 | − | 0.463298i | ||||
\(943\) | −22.7872 | − | 11.5035i | −0.742052 | − | 0.374605i | ||||
\(944\) | 6.09854 | + | 6.82427i | 0.198490 | + | 0.222111i | ||||
\(945\) | −5.21935 | + | 7.81131i | −0.169785 | + | 0.254102i | ||||
\(946\) | −2.78167 | − | 2.18293i | −0.0904400 | − | 0.0709732i | ||||
\(947\) | 10.6407 | − | 7.10992i | 0.345778 | − | 0.231041i | −0.370538 | − | 0.928817i | \(-0.620827\pi\) |
0.716316 | + | 0.697776i | \(0.245827\pi\) | |||||||
\(948\) | 1.38387 | − | 0.484236i | 0.0449459 | − | 0.0157273i | ||||
\(949\) | 0.655671 | − | 2.35856i | 0.0212840 | − | 0.0765622i | ||||
\(950\) | −8.60414 | + | 15.5680i | −0.279155 | + | 0.505093i | ||||
\(951\) | 2.82390 | + | 0.871059i | 0.0915713 | + | 0.0282460i | ||||
\(952\) | 5.78813 | − | 4.44932i | 0.187594 | − | 0.144203i | ||||
\(953\) | 32.1344 | − | 18.5528i | 1.04093 | − | 0.600984i | 0.120837 | − | 0.992672i | \(-0.461442\pi\) |
0.920098 | + | 0.391689i | \(0.128109\pi\) | |||||||
\(954\) | 0.902828 | − | 0.640590i | 0.0292301 | − | 0.0207399i | ||||
\(955\) | 65.1953 | + | 23.4993i | 2.10967 | + | 0.760420i | ||||
\(956\) | −1.91602 | + | 0.0716925i | −0.0619686 | + | 0.00231870i | ||||
\(957\) | −3.57281 | − | 0.301363i | −0.115493 | − | 0.00974169i | ||||
\(958\) | 36.8909 | + | 36.2074i | 1.19189 | + | 1.16981i | ||||
\(959\) | 0.748235 | + | 4.66766i | 0.0241618 | + | 0.150727i | ||||
\(960\) | 42.4193 | + | 13.9585i | 1.36908 | + | 0.450508i | ||||
\(961\) | 21.5059 | − | 22.3256i | 0.693738 | − | 0.720181i | ||||
\(962\) | 17.1837 | − | 16.2458i | 0.554026 | − | 0.523786i | ||||
\(963\) | 0.0838150 | + | 0.155059i | 0.00270090 | + | 0.00499670i | ||||
\(964\) | 0.0307399 | − | 3.28760i | 0.000990066 | − | 0.105887i | ||||
\(965\) | −15.9680 | + | 21.6359i | −0.514028 | + | 0.696484i | ||||
\(966\) | −1.07548 | − | 5.99010i | −0.0346029 | − | 0.192728i | ||||
\(967\) | 26.1062 | + | 23.3299i | 0.839519 | + | 0.750240i | 0.970489 | − | 0.241147i | \(-0.0775235\pi\) |
−0.130970 | + | 0.991386i | \(0.541809\pi\) | |||||||
\(968\) | 29.0417 | − | 13.9857i | 0.933435 | − | 0.449519i | ||||
\(969\) | −21.7875 | − | 9.48345i | −0.699916 | − | 0.304652i | ||||
\(970\) | −11.4929 | + | 1.73227i | −0.369014 | + | 0.0556199i | ||||
\(971\) | 28.0417 | + | 5.85092i | 0.899901 | + | 0.187765i | 0.631348 | − | 0.775500i | \(-0.282502\pi\) |
0.268553 | + | 0.963265i | \(0.413454\pi\) | |||||||
\(972\) | 0.0226350 | + | 0.219302i | 0.000726019 | + | 0.00703411i | ||||
\(973\) | −9.58292 | + | 6.02135i | −0.307214 | + | 0.193036i | ||||
\(974\) | 3.56037 | + | 16.3001i | 0.114082 | + | 0.522288i | ||||
\(975\) | −24.6501 | + | 6.85263i | −0.789436 | + | 0.219460i | ||||
\(976\) | −18.2374 | + | 2.92349i | −0.583766 | + | 0.0935788i | ||||
\(977\) | 2.52476 | + | 12.1004i | 0.0807742 | + | 0.387126i | 0.999978 | − | 0.00665613i | \(-0.00211873\pi\) |
−0.919204 | + | 0.393782i | \(0.871166\pi\) | |||||||
\(978\) | −21.9284 | − | 39.6765i | −0.701193 | − | 1.26871i | ||||
\(979\) | 2.57845 | − | 0.613933i | 0.0824075 | − | 0.0196214i | ||||
\(980\) | −4.92088 | + | 0.230218i | −0.157192 | + | 0.00735405i | ||||
\(981\) | −0.360927 | − | 0.341226i | −0.0115235 | − | 0.0108945i | ||||
\(982\) | −13.8909 | + | 51.8415i | −0.443276 | + | 1.65433i | ||||
\(983\) | −0.916861 | + | 1.04548i | −0.0292433 | + | 0.0333456i | −0.766277 | − | 0.642511i | \(-0.777893\pi\) |
0.737033 | + | 0.675856i | \(0.236226\pi\) | |||||||
\(984\) | −2.67511 | − | 28.5274i | −0.0852792 | − | 0.909420i | ||||
\(985\) | −21.1173 | − | 26.4802i | −0.672853 | − | 0.843731i | ||||
\(986\) | −28.0703 | − | 2.07924i | −0.893940 | − | 0.0662164i | ||||
\(987\) | −10.0190 | − | 4.82488i | −0.318908 | − | 0.153578i | ||||
\(988\) | −1.20344 | − | 2.90536i | −0.0382865 | − | 0.0924317i | ||||
\(989\) | 26.8713 | − | 12.5824i | 0.854459 | − | 0.400095i | ||||
\(990\) | 0.0980221 | − | 0.0980221i | 0.00311535 | − | 0.00311535i | ||||
\(991\) | 26.8321 | − | 3.78807i | 0.852351 | − | 0.120332i | 0.299995 | − | 0.953941i | \(-0.403015\pi\) |
0.552355 | + | 0.833609i | \(0.313729\pi\) | |||||||
\(992\) | 0.0443973 | − | 0.00542322i | 0.00140962 | − | 0.000172187i | ||||
\(993\) | −27.3845 | + | 2.30985i | −0.869020 | + | 0.0733010i | ||||
\(994\) | −4.29438 | − | 3.55803i | −0.136209 | − | 0.112854i | ||||
\(995\) | −34.1743 | + | 26.2229i | −1.08340 | + | 0.831322i | ||||
\(996\) | −0.691413 | − | 0.0453176i | −0.0219082 | − | 0.00143594i | ||||
\(997\) | 3.02608 | + | 6.76262i | 0.0958368 | + | 0.214174i | 0.954398 | − | 0.298537i | \(-0.0964985\pi\) |
−0.858561 | + | 0.512711i | \(0.828641\pi\) | |||||||
\(998\) | −23.5940 | + | 11.0917i | −0.746853 | + | 0.351101i | ||||
\(999\) | −0.934294 | − | 24.9695i | −0.0295597 | − | 0.790001i |
(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 | 731.2.bm.a.3.20 | ✓ | 6144 | |
17.6 | odd | 16 | inner | 731.2.bm.a.261.20 | yes | 6144 | |
43.29 | odd | 42 | inner | 731.2.bm.a.717.20 | yes | 6144 | |
731.244 | even | 336 | inner | 731.2.bm.a.244.20 | yes | 6144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bm.a.3.20 | ✓ | 6144 | 1.1 | even | 1 | trivial | |
731.2.bm.a.244.20 | yes | 6144 | 731.244 | even | 336 | inner | |
731.2.bm.a.261.20 | yes | 6144 | 17.6 | odd | 16 | inner | |
731.2.bm.a.717.20 | yes | 6144 | 43.29 | odd | 42 | inner |